Quelle manual.six
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bookname := "RCWA",
entries :=
[ [ "Title page", "0.0", [ 0, 0, 0 ], 1, 1, "title page", "X7D2C85EC87DD46E5"
],
[ "Abstract", "0.0-1", [ 0, 0, 1 ], 24, 2, "abstract", "X7AA6C5737B711C89" ]
,
[ "Copyright", "0.0-2", [ 0, 0, 2 ], 49, 2, "copyright",
"X81488B807F2A1CF1" ],
[ "Acknowledgements", "0.0-3", [ 0, 0, 3 ], 68, 2, "acknowledgements",
"X82A988D47DFAFCFA" ],
[ "Table of Contents", "0.0-4", [ 0, 0, 4 ], 80, 3, "table of contents",
"X8537FEB07AF2BEC8" ],
[ "\033[1X\033[33X\033[0;-2YAbout the RCWA Package\033[133X\033[101X", "1",
[ 1, 0, 0 ], 1, 5, "about the rcwa package", "X83A8C2927FAE2C23" ],
[
"\033[1X\033[33X\033[0;-2YResidue-Class-Wise Affine Mappings\033[133X\033[1\
01X", "2", [ 2, 0, 0 ], 1, 7, "residue-class-wise affine mappings",
"X7FD73FCB8510050E" ],
[ "\033[1X\033[33X\033[0;-2YBasic definitions\033[133X\033[101X", "2.1",
[ 2, 1, 0 ], 12, 7, "basic definitions", "X78ED07E37FC2BD46" ],
[
"\033[1X\033[33X\033[0;-2YEntering residue-class-wise affine mappings\033[1\
33X\033[101X", "2.2", [ 2, 2, 0 ], 56, 8,
"entering residue-class-wise affine mappings", "X86BC55648302D643" ],
[
"\033[1X\033[33X\033[0;-2YRcwaMapping (the general constructor)\033[133X\\
033[101X", "2.2-5", [ 2, 2, 5 ], 304, 12,
"rcwamapping the general constructor", "X8799551B83644B37" ],
[
"\033[1X\033[33X\033[0;-2YBasic arithmetic for residue-class-wise affine ma\
ppings\033[133X\033[101X", "2.3", [ 2, 3, 0 ], 481, 14,
"basic arithmetic for residue-class-wise affine mappings",
"X78E796B8824C4FC8" ],
[
"\033[1X\033[33X\033[0;-2YAttributes and properties of residue-class-wise a\
ffine mappings\033[133X\033[101X", "2.4", [ 2, 4, 0 ], 605, 16,
"attributes and properties of residue-class-wise affine mappings",
"X7C16D22C7BD40FDC" ],
[
"\033[1X\033[33X\033[0;-2YFactoring residue-class-wise affine permutations\\
033[133X\033[101X", "2.5", [ 2, 5, 0 ], 814, 20,
"factoring residue-class-wise affine permutations", "X8475F844869DD060"
],
[
"\033[1X\033[33X\033[0;-2YExtracting roots of residue-class-wise affine map\
pings\033[133X\033[101X", "2.6", [ 2, 6, 0 ], 1011, 23,
"extracting roots of residue-class-wise affine mappings",
"X8141065381B0942B" ],
[
"\033[1X\033[33X\033[0;-2YSpecial functions for non-bijective mappings\033[\
133X\033[101X", "2.7", [ 2, 7, 0 ], 1043, 24,
"special functions for non-bijective mappings", "X8322C6848305EC4C" ],
[ "\033[1X\033[33X\033[0;-2YOn trajectories and cycles of residue-class-wise\
affine mappings\033[133X\033[101X", "2.8", [ 2, 8, 0 ], 1117, 25,
"on trajectories and cycles of residue-class-wise affine mappings",
"X7A34724386A2E9F3" ],
[
"\033[1X\033[33X\033[0;-2YTrajectory (methods for rcwa mappings)\033[133X\\
033[101X", "2.8-1", [ 2, 8, 1 ], 1122, 25,
"trajectory methods for rcwa mappings", "X7C72174D7CCB6348" ],
[
"\033[1X\033[33X\033[0;-2YTrajectory (methods for rcwa mappings -- \033[21X\
accumulated coefficients\033[121X\033[101X\027\033[1X\027)\033[133X\033[101X",
"2.8-2", [ 2, 8, 2 ], 1156, 25,
"trajectory methods for rcwa mappings -- accumulated coefficients",
"X7FFD09837E934853" ],
[
"\033[1X\033[33X\033[0;-2YIncreasingOn & DecreasingOn (for an rcwa mapping)\
\033[133X\033[101X", "2.8-3", [ 2, 8, 3 ], 1185, 26,
"increasingon & decreasingon for an rcwa mapping", "X7E0244A386744185" ]
,
[
"\033[1X\033[33X\033[0;-2YSources & Sinks (of an rcwa mapping)\033[133X\\
033[101X", "2.8-8", [ 2, 8, 8 ], 1295, 28,
"sources & sinks of an rcwa mapping", "X81DBA2D58526BE7E" ],
[
"\033[1X\033[33X\033[0;-2YSaving memory -- the sparse representation of rcw\
a mappings\033[133X\033[101X", "2.9", [ 2, 9, 0 ], 1415, 30,
"saving memory -- the sparse representation of rcwa mappings",
"X86F0E0D17E6A9663" ],
[
"\033[1X\033[33X\033[0;-2YThe categories and families of rcwa mappings\033[\
133X\033[101X", "2.10", [ 2, 10, 0 ], 1499, 31,
"the categories and families of rcwa mappings", "X83FA71DD842377F0" ],
[ "\033[1X\033[33X\033[0;-2YResidue-Class-Wise Affine Groups\033[133X\033[10\
1X", "3", [ 3, 0, 0 ], 1, 32, "residue-class-wise affine groups",
"X874A3BB684F0639A" ],
[
"\033[1X\033[33X\033[0;-2YConstructing residue-class-wise affine groups\\
033[133X\033[101X", "3.1", [ 3, 1, 0 ], 7, 32,
"constructing residue-class-wise affine groups", "X81242A6586A604A3" ],
[ "\033[1X\033[33X\033[0;-2YWreathProduct (for an rcwa group over Z, with a \
permutation group or (\342\204\244,+))\033[133X\033[101X", "3.1-3",
[ 3, 1, 3 ], 86, 33,
"wreathproduct for an rcwa group over z with a permutation group or a\
\204\244 +", "X80D13D2A7AD73C2C" ],
[
"\033[1X\033[33X\033[0;-2YRestriction (of an rcwa mapping or -group, by an \
injective rcwa mapping)\033[133X\033[101X", "3.1-6", [ 3, 1, 6 ], 214, 35,
"restriction of an rcwa mapping or -group by an injective rcwa mapping",
"X852EF2C079E4D7FF" ],
[
"\033[1X\033[33X\033[0;-2YInduction (of an rcwa mapping or -group, by an in\
jective rcwa mapping)\033[133X\033[101X", "3.1-7", [ 3, 1, 7 ], 242, 36,
"induction of an rcwa mapping or -group by an injective rcwa mapping",
"X82171D7287CBED95" ],
[
"\033[1X\033[33X\033[0;-2YBasic routines for investigating residue-class-wi\
se affine groups\033[133X\033[101X", "3.2", [ 3, 2, 0 ], 395, 38,
"basic routines for investigating residue-class-wise affine groups",
"X80C042BE82EE0F9A" ],
[
"\033[1X\033[33X\033[0;-2YThe natural action of an rcwa group on the underl\
ying ring\033[133X\033[101X", "3.3", [ 3, 3, 0 ], 675, 43,
"the natural action of an rcwa group on the underlying ring",
"X8151BE577FFDCE87" ],
[
"\033[1X\033[33X\033[0;-2YOrbit (for an rcwa group and either a point or a \
set)\033[133X\033[101X", "3.3-1", [ 3, 3, 1 ], 841, 46,
"orbit for an rcwa group and either a point or a set",
"X7C046BE97EE53692" ],
[
"\033[1X\033[33X\033[0;-2YShortOrbits (for rcwa groups) & ShortCycles (for \
rcwa permutations)\033[133X\033[101X", "3.3-4", [ 3, 3, 4 ], 969, 48,
"shortorbits for rcwa groups & shortcycles for rcwa permutations",
"X78F145197F63A25D" ],
[
"\033[1X\033[33X\033[0;-2YShortResidueClassOrbits & ShortResidueClassCycles\
\033[133X\033[101X", "3.3-5", [ 3, 3, 5 ], 1024, 49,
"shortresidueclassorbits & shortresidueclasscycles",
"X80D18D0778A96C16" ],
[
"\033[1X\033[33X\033[0;-2YBall (for group, element and radius or group, poi\
nt, radius and action)\033[133X\033[101X", "3.3-9", [ 3, 3, 9 ], 1206, 52,
"ball for group element and radius or group point radius and action",
"X8735855587CC029F" ],
[
"\033[1X\033[33X\033[0;-2YSpecial attributes of tame residue-class-wise aff\
ine groups\033[133X\033[101X", "3.4", [ 3, 4, 0 ], 1446, 56,
"special attributes of tame residue-class-wise affine groups",
"X781CBEFA7F39B58D" ],
[
"\033[1X\033[33X\033[0;-2YRespectedPartition (of a tame rcwa group or -perm\
utation)\033[133X\033[101X", "3.4-1", [ 3, 4, 1 ], 1458, 56,
"respectedpartition of a tame rcwa group or -permutation",
"X7F523A6B87825AB8" ],
[
"\033[1X\033[33X\033[0;-2YActionOnRespectedPartition & KernelOfActionOnResp\
ectedPartition\033[133X\033[101X", "3.4-2", [ 3, 4, 2 ], 1492, 57,
"actiononrespectedpartition & kernelofactiononrespectedpartition",
"X831ADC1584DE6113" ],
[
"\033[1X\033[33X\033[0;-2YGenerating pseudo-random elements of RCWA(R) and \
CT(R)\033[133X\033[101X", "3.5", [ 3, 5, 0 ], 1554, 58,
"generating pseudo-random elements of rcwa r and ct r",
"X81941A247942FB99" ],
[
"\033[1X\033[33X\033[0;-2YThe categories of residue-class-wise affine group\
s\033[133X\033[101X", "3.6", [ 3, 6, 0 ], 1602, 59,
"the categories of residue-class-wise affine groups",
"X86327F6C83D09798" ],
[
"\033[1X\033[33X\033[0;-2YResidue-Class-Wise Affine Monoids\033[133X\033[10\
1X", "4", [ 4, 0, 0 ], 1, 60, "residue-class-wise affine monoids",
"X81C90F7C7BA25BDF" ],
[
"\033[1X\033[33X\033[0;-2YConstructing residue-class-wise affine monoids\\
033[133X\033[101X", "4.1", [ 4, 1, 0 ], 8, 60,
"constructing residue-class-wise affine monoids", "X83D42E26849D5580" ],
[ "\033[1X\033[33X\033[0;-2YComputing with residue-class-wise affine monoids\
\033[133X\033[101X", "4.2", [ 4, 2, 0 ], 78, 61,
"computing with residue-class-wise affine monoids", "X8759954F7EB1A658"
],
[
"\033[1X\033[33X\033[0;-2YBall (for monoid, element and radius or monoid, p\
oint, radius and action)\033[133X\033[101X", "4.2-2", [ 4, 2, 2 ], 165, 63,
"ball for monoid element and radius or monoid point radius and action",
"X787848137DF1C245" ],
[
"\033[1X\033[33X\033[0;-2YResidue-Class-Wise Affine Mappings, Groups and Mo\
noids over \033[22X\342\204\244^2\033[122X\033[101X\027\033[1X\027\033[133X\
\033[101X", "5", [ 5, 0, 0 ], 1, 64,
"residue-class-wise affine mappings groups and monoids over a\204\244^2"
, "X788EB00B82897762" ],
[
"\033[1X\033[33X\033[0;-2YThe definition of residue-class-wise affine mappi\
ngs of \033[22X\342\204\244^d\033[122X\033[101X\027\033[1X\027\033[133X\033[10\
1X", "5.1", [ 5, 1, 0 ], 22, 64,
"the definition of residue-class-wise affine mappings of a\204\244^d",
"X781907CA785CC7AC" ],
[
"\033[1X\033[33X\033[0;-2YEntering residue-class-wise affine mappings of \\
033[22X\342\204\244^2\033[122X\033[101X\027\033[1X\027\033[133X\033[101X",
"5.2", [ 5, 2, 0 ], 44, 65,
"entering residue-class-wise affine mappings of a\204\244^2",
"X7A39FCF08030AB9B" ],
[
"\033[1X\033[33X\033[0;-2YRcwaMapping (the general constructor; methods for\
\033[22X\342\204\244^2\033[122X\033[101X\027\033[1X\027)\033[133X\033[101X",
"5.2-1", [ 5, 2, 1 ], 52, 65,
"rcwamapping the general constructor methods for a\204\244^2",
"X790649618012C606" ],
[
"\033[1X\033[33X\033[0;-2YClassTransposition (for \033[22X\342\204\244^2\\
033[122X\033[101X\027\033[1X\027)\033[133X\033[101X", "5.2-2", [ 5, 2, 2 ],
201, 67, "classtransposition for a\204\244^2", "X7B450EE17B465E02" ],
[
"\033[1X\033[33X\033[0;-2YClassRotation (for \033[22X\342\204\244^2\033[122\
X\033[101X\027\033[1X\027)\033[133X\033[101X", "5.2-3", [ 5, 2, 3 ], 267, 68,
"classrotation for a\204\244^2", "X828438127DDAEBB4" ],
[
"\033[1X\033[33X\033[0;-2YClassShift (for \033[22X\342\204\244^2\033[122X\\
033[101X\027\033[1X\027)\033[133X\033[101X", "5.2-4", [ 5, 2, 4 ], 304, 69,
"classshift for a\204\244^2", "X7A14A8F48247E651" ],
[
"\033[1X\033[33X\033[0;-2YMethods for residue-class-wise affine mappings of\
\033[22X\342\204\244^2\033[122X\033[101X\027\033[1X\027\033[133X\033[101X",
"5.3", [ 5, 3, 0 ], 342, 70,
"methods for residue-class-wise affine mappings of a\204\244^2",
"X8531E39785FFF8A7" ],
[
"\033[1X\033[33X\033[0;-2YMethods for residue-class-wise affine groups and \
-monoids over \033[22X\342\204\244^2\033[122X\033[101X\027\033[1X\027\033[133X\
\033[101X", "5.4", [ 5, 4, 0 ], 407, 71,
"methods for residue-class-wise affine groups and -monoids over a\204\
\244^2", "X83A1752F7BE9CE85" ],
[
"\033[1X\033[33X\033[0;-2YIsomorphismRcwaGroup (Embeddings of SL(2,\342\\
204\244) and GL(2,\342\204\244))\033[133X\033[101X", "5.4-1", [ 5, 4, 1 ],
424, 71,
"isomorphismrcwagroup embeddings of sl 2 a\204\244 and gl 2 a\204\244",
"X79A8F9AD7E839862" ],
[ "\033[1X\033[33X\033[0;-2YDrawGrid\033[133X\033[101X", "5.4-2",
[ 5, 4, 2 ], 469, 72, "drawgrid", "X812135EB87527F01" ],
[
"\033[1X\033[33X\033[0;-2YDatabases of Residue-Class-Wise Affine Groups and\
-Mappings\033[133X\033[101X", "6", [ 6, 0, 0 ], 1, 73,
"databases of residue-class-wise affine groups and -mappings",
"X81BA344979567342" ],
[ "\033[1X\033[33X\033[0;-2YThe collection of examples\033[133X\033[101X",
"6.1", [ 6, 1, 0 ], 8, 73, "the collection of examples",
"X86CCBF017A746F50" ],
[ "\033[1X\033[33X\033[0;-2YDatabases of rcwa groups\033[133X\033[101X",
"6.2", [ 6, 2, 0 ], 45, 74, "databases of rcwa groups",
"X85DD85DF87DE47C9" ],
[ "\033[1X\033[33X\033[0;-2YDatabases of rcwa mappings\033[133X\033[101X",
"6.3", [ 6, 3, 0 ], 404, 80, "databases of rcwa mappings",
"X78A1A8E587C7FFD5" ],
[ "\033[1X\033[33X\033[0;-2YExamples\033[133X\033[101X", "7", [ 7, 0, 0 ],
1, 82, "examples", "X7A489A5D79DA9E5C" ],
[ "\033[1X\033[33X\033[0;-2YThompson's group V\033[133X\033[101X", "7.1",
[ 7, 1, 0 ], 23, 82, "thompsons group v", "X84A058CF7C65A908" ],
[
"\033[1X\033[33X\033[0;-2YFactoring Collatz' permutation of the integers\\
033[133X\033[101X", "7.2", [ 7, 2, 0 ], 197, 85,
"factoring collatz permutation of the integers", "X86C2BAE3876985A6" ],
[ "\033[1X\033[33X\033[0;-2YThe \033[22X3n+1\033[122X\033[101X\027\033[1X\
\027 group\033[133X\033[101X", "7.3", [ 7, 3, 0 ], 301, 87, "the 3n+1 group",
"X811919107D5DAAC1" ],
[
"\033[1X\033[33X\033[0;-2YA group with huge finite orbits\033[133X\033[101X\
", "7.4", [ 7, 4, 0 ], 728, 94, "a group with huge finite orbits",
"X7DCFDC797FF213C5" ],
[
"\033[1X\033[33X\033[0;-2YA group which acts 4-transitively on the positive\
integers\033[133X\033[101X", "7.5", [ 7, 5, 0 ], 941, 98,
"a group which acts 4-transitively on the positive integers",
"X7968C1DF7EF0BD8E" ],
[
"\033[1X\033[33X\033[0;-2YA group which acts 3-transitively, but not 4-tran\
sitively on \342\204\244\033[133X\033[101X", "7.6", [ 7, 6, 0 ], 1390, 106,
"a group which acts 3-transitively but not 4-transitively on a\204\244",
"X85C529088050BEA3" ],
[
"\033[1X\033[33X\033[0;-2YAn rcwa mapping which seems to be contracting, bu\
t very slow\033[133X\033[101X", "7.7", [ 7, 7, 0 ], 1586, 109,
"an rcwa mapping which seems to be contracting but very slow",
"X878499AF7889FD9E" ],
[
"\033[1X\033[33X\033[0;-2YChecking a result by P. Andaloro\033[133X\033[101\
X", "7.8", [ 7, 8, 0 ], 1677, 111, "checking a result by p. andaloro",
"X84A915BA833E0BDE" ],
[
"\033[1X\033[33X\033[0;-2YTwo examples by Matthews and Leigh\033[133X\033[1\
01X", "7.9", [ 7, 9, 0 ], 1723, 112, "two examples by matthews and leigh",
"X7E8CD9B67ED78735" ],
[ "\033[1X\033[33X\033[0;-2YOrders of commutators\033[133X\033[101X",
"7.10", [ 7, 10, 0 ], 1839, 114, "orders of commutators",
"X854E9F65817E4F63" ],
[
"\033[1X\033[33X\033[0;-2YAn infinite subgroup of CT(GF(2)[x]) with many to\
rsion elements\033[133X\033[101X", "7.11", [ 7, 11, 0 ], 1916, 115,
"an infinite subgroup of ct gf 2 [x] with many torsion elements",
"X7F085B867D799293" ],
[
"\033[1X\033[33X\033[0;-2YAn abelian rcwa group over a polynomial ring\033[\
133X\033[101X", "7.12", [ 7, 12, 0 ], 2071, 118,
"an abelian rcwa group over a polynomial ring", "X7A8605E680F664BF" ],
[ "\033[1X\033[33X\033[0;-2YChecking for solvability\033[133X\033[101X",
"7.13", [ 7, 13, 0 ], 2172, 120, "checking for solvability",
"X78DFE4B4821E07A6" ],
[
"\033[1X\033[33X\033[0;-2YSome examples over (semi)localizations of the int\
egers\033[133X\033[101X", "7.14", [ 7, 14, 0 ], 2224, 121,
"some examples over semi localizations of the integers",
"X783D54DC7A646273" ],
[
"\033[1X\033[33X\033[0;-2YTwisting 257-cycles into an rcwa mapping with mod\
ulus 32\033[133X\033[101X", "7.15", [ 7, 15, 0 ], 2356, 123,
"twisting 257-cycles into an rcwa mapping with modulus 32",
"X846D7D087861E0AC" ],
[
"\033[1X\033[33X\033[0;-2YThe behaviour of the moduli of powers\033[133X\\
033[101X", "7.16", [ 7, 16, 0 ], 2445, 125,
"the behaviour of the moduli of powers", "X78D5DC93845CA6A0" ],
[
"\033[1X\033[33X\033[0;-2YImages and preimages under the Collatz mapping\\
033[133X\033[101X", "7.17", [ 7, 17, 0 ], 2509, 126,
"images and preimages under the collatz mapping", "X855A3CD88459958B" ],
[ "\033[1X\033[33X\033[0;-2YAn extension of the Collatz mapping T to a permu\
tation of \033[22X\342\204\244^2\033[122X\033[101X\027\033[1X\027\033[133X\033\
[101X", "7.18", [ 7, 18, 0 ], 2616, 128,
"an extension of the collatz mapping t to a permutation of a\204\244^2",
"X84B6A498838A5509" ],
[
"\033[1X\033[33X\033[0;-2YFinite quotients of Grigorchuk groups\033[133X\\
033[101X", "7.19", [ 7, 19, 0 ], 2788, 131,
"finite quotients of grigorchuk groups", "X81EB8D397898C6B2" ],
[
"\033[1X\033[33X\033[0;-2YForward orbits of a monoid with 2 generators\033[\
133X\033[101X", "7.20", [ 7, 20, 0 ], 2873, 132,
"forward orbits of a monoid with 2 generators", "X7DD9502F80364631" ],
[ "\033[1X\033[33X\033[0;-2YThe free group of rank 2 and the modular group P\
SL(2,\342\204\244)\033[133X\033[101X", "7.21", [ 7, 21, 0 ], 2957, 133,
"the free group of rank 2 and the modular group psl 2 a\204\244",
"X815800ED820C6ECF" ],
[
"\033[1X\033[33X\033[0;-2YThe Algorithms Implemented in RCWA\033[133X\033[1\
01X", "8", [ 8, 0, 0 ], 1, 136, "the algorithms implemented in rcwa",
"X79EA0B717B045756" ],
[
"\033[1X\033[33X\033[0;-2YInstallation and Auxiliary Functions\033[133X\\
033[101X", "9", [ 9, 0, 0 ], 1, 151, "installation and auxiliary functions",
"X859F6BF88754E5CC" ],
[ "\033[1X\033[33X\033[0;-2YRequirements\033[133X\033[101X", "9.1",
[ 9, 1, 0 ], 4, 151, "requirements", "X85A08CF187A6D986" ],
[ "\033[1X\033[33X\033[0;-2YInstallation\033[133X\033[101X", "9.2",
[ 9, 2, 0 ], 15, 151, "installation", "X8360C04082558A12" ],
[ "\033[1X\033[33X\033[0;-2YThe testing routines\033[133X\033[101X", "9.3",
[ 9, 3, 0 ], 23, 151, "the testing routines", "X865D6A49826B92EC" ],
[ "\033[1X\033[33X\033[0;-2YThe Info class of the package\033[133X\033[101X"
, "9.4", [ 9, 4, 0 ], 67, 152, "the info class of the package",
"X7A31FA44791E93C5" ],
[ "Bibliography", "bib", [ "Bib", 0, 0 ], 1, 153, "bibliography",
"X7A6F98FD85F02BFE" ],
[ "References", "bib", [ "Bib", 0, 0 ], 1, 153, "references",
"X7A6F98FD85F02BFE" ],
[ "Index", "ind", [ "Ind", 0, 0 ], 1, 155, "index", "X83A0356F839C696F" ],
[ "Collatz conjecture", "1.0", [ 1, 0, 0 ], 1, 5, "collatz conjecture",
"X83A8C2927FAE2C23" ],
[ "Collatz mapping", "1.0", [ 1, 0, 0 ], 1, 5, "collatz mapping",
"X83A8C2927FAE2C23" ],
[ "rcwa mapping definition", "2.1", [ 2, 1, 0 ], 12, 7,
"rcwa mapping definition", "X78ED07E37FC2BD46" ],
[ "rcwa group definition", "2.1", [ 2, 1, 0 ], 12, 7,
"rcwa group definition", "X78ED07E37FC2BD46" ],
[ "modulus definition", "2.1", [ 2, 1, 0 ], 12, 7, "modulus definition",
"X78ED07E37FC2BD46" ],
[ "rcwa mapping modulus", "2.1", [ 2, 1, 0 ], 12, 7, "rcwa mapping modulus",
"X78ED07E37FC2BD46" ],
[ "multiplier definition", "2.1", [ 2, 1, 0 ], 12, 7,
"multiplier definition", "X78ED07E37FC2BD46" ],
[ "rcwa mapping multiplier", "2.1", [ 2, 1, 0 ], 12, 7,
"rcwa mapping multiplier", "X78ED07E37FC2BD46" ],
[ "divisor definition", "2.1", [ 2, 1, 0 ], 12, 7, "divisor definition",
"X78ED07E37FC2BD46" ],
[ "rcwa mapping divisor", "2.1", [ 2, 1, 0 ], 12, 7, "rcwa mapping divisor",
"X78ED07E37FC2BD46" ],
[ "tame rcwa mapping", "2.1", [ 2, 1, 0 ], 12, 7, "tame rcwa mapping",
"X78ED07E37FC2BD46" ],
[ "tame rcwa group", "2.1", [ 2, 1, 0 ], 12, 7, "tame rcwa group",
"X78ED07E37FC2BD46" ],
[ "wild rcwa mapping", "2.1", [ 2, 1, 0 ], 12, 7, "wild rcwa mapping",
"X78ED07E37FC2BD46" ],
[ "wild rcwa group", "2.1", [ 2, 1, 0 ], 12, 7, "wild rcwa group",
"X78ED07E37FC2BD46" ],
[ "rcwa mapping tame", "2.1", [ 2, 1, 0 ], 12, 7, "rcwa mapping tame",
"X78ED07E37FC2BD46" ],
[ "rcwa group tame", "2.1", [ 2, 1, 0 ], 12, 7, "rcwa group tame",
"X78ED07E37FC2BD46" ],
[ "rcwa mapping wild", "2.1", [ 2, 1, 0 ], 12, 7, "rcwa mapping wild",
"X78ED07E37FC2BD46" ],
[ "rcwa group wild", "2.1", [ 2, 1, 0 ], 12, 7, "rcwa group wild",
"X78ED07E37FC2BD46" ],
[ "\033[2XClassShift\033[102X r, m", "2.2-1", [ 2, 2, 1 ], 117, 9,
"classshift r m", "X86B611BD7EED62A1" ],
[ "\033[2XClassShift\033[102X cl", "2.2-1", [ 2, 2, 1 ], 117, 9,
"classshift cl", "X86B611BD7EED62A1" ],
[ "\033[2XClassReflection\033[102X r, m", "2.2-2", [ 2, 2, 2 ], 143, 9,
"classreflection r m", "X7896C5417E3692B4" ],
[ "\033[2XClassReflection\033[102X cl", "2.2-2", [ 2, 2, 2 ], 143, 9,
"classreflection cl", "X7896C5417E3692B4" ],
[ "\033[2XClassTransposition\033[102X r1, m1, r2, m2", "2.2-3",
[ 2, 2, 3 ], 170, 10, "classtransposition r1 m1 r2 m2",
"X8716A75F7DD1C46B" ],
[ "\033[2XClassTransposition\033[102X cl1, cl2", "2.2-3", [ 2, 2, 3 ], 170,
10, "classtransposition cl1 cl2", "X8716A75F7DD1C46B" ],
[ "\033[10XTransposedClasses\033[110X of a class transposition", "2.2-3",
[ 2, 2, 3 ], 170, 10, "transposedclasses of a class transposition",
"X8716A75F7DD1C46B" ],
[ "\033[10XClassPairs\033[110X m", "2.2-3", [ 2, 2, 3 ], 170, 10,
"classpairs m", "X8716A75F7DD1C46B" ],
[ "\033[10XNrClassPairs\033[110X m", "2.2-3", [ 2, 2, 3 ], 170, 10,
"nrclasspairs m", "X8716A75F7DD1C46B" ],
[ "\033[10XExtRepOfObj\033[110X for a class transposition", "2.2-3",
[ 2, 2, 3 ], 170, 10, "extrepofobj for a class transposition",
"X8716A75F7DD1C46B" ],
[
"\033[10XSplittedClassTransposition\033[110X for a class transposition and \
a number of factors", "2.2-3", [ 2, 2, 3 ], 170, 10,
"splittedclasstransposition for a class transposition and a number of fa\
ctors", "X8716A75F7DD1C46B" ],
[ "\033[2XClassRotation\033[102X r, m, u", "2.2-4", [ 2, 2, 4 ], 251, 11,
"classrotation r m u", "X87EB8C1C87F78A17" ],
[ "\033[2XClassRotation\033[102X cl, u", "2.2-4", [ 2, 2, 4 ], 251, 11,
"classrotation cl u", "X87EB8C1C87F78A17" ],
[ "\033[10XRotationFactor\033[110X of a class rotation", "2.2-4",
[ 2, 2, 4 ], 251, 11, "rotationfactor of a class rotation",
"X87EB8C1C87F78A17" ],
[ "\033[10XIsClassShift\033[110X for an rcwa mapping", "2.2-4",
[ 2, 2, 4 ], 251, 11, "isclassshift for an rcwa mapping",
"X87EB8C1C87F78A17" ],
[ "\033[10XIsClassReflection\033[110X for an rcwa mapping", "2.2-4",
[ 2, 2, 4 ], 251, 11, "isclassreflection for an rcwa mapping",
"X87EB8C1C87F78A17" ],
[ "\033[10XIsClassRotation\033[110X for an rcwa mapping", "2.2-4",
[ 2, 2, 4 ], 251, 11, "isclassrotation for an rcwa mapping",
"X87EB8C1C87F78A17" ],
[ "\033[10XIsClassTransposition\033[110X for an rcwa mapping", "2.2-4",
[ 2, 2, 4 ], 251, 11, "isclasstransposition for an rcwa mapping",
"X87EB8C1C87F78A17" ],
[ "\033[10XIsGeneralizedClassTransposition\033[110X for an rcwa mapping",
"2.2-4", [ 2, 2, 4 ], 251, 11,
"isgeneralizedclasstransposition for an rcwa mapping",
"X87EB8C1C87F78A17" ],
[ "\033[2XRcwaMapping\033[102X by ring, modulus and list of coefficients",
"2.2-5", [ 2, 2, 5 ], 304, 12,
"rcwamapping by ring modulus and list of coefficients",
"X8799551B83644B37" ],
[ "\033[2XRcwaMapping\033[102X by ring and list of coefficients", "2.2-5",
[ 2, 2, 5 ], 304, 12, "rcwamapping by ring and list of coefficients",
"X8799551B83644B37" ],
[ "\033[2XRcwaMapping\033[102X by list of coefficients", "2.2-5",
[ 2, 2, 5 ], 304, 12, "rcwamapping by list of coefficients",
"X8799551B83644B37" ],
[ "\033[2XRcwaMapping\033[102X by permutation and range", "2.2-5",
[ 2, 2, 5 ], 304, 12, "rcwamapping by permutation and range",
"X8799551B83644B37" ],
[ "\033[2XRcwaMapping\033[102X by modulus and list of values", "2.2-5",
[ 2, 2, 5 ], 304, 12, "rcwamapping by modulus and list of values",
"X8799551B83644B37" ],
[
"\033[2XRcwaMapping\033[102X by set of non-invertible primes and list of co\
efficients", "2.2-5", [ 2, 2, 5 ], 304, 12,
"rcwamapping by set of non-invertible primes and list of coefficients",
"X8799551B83644B37" ],
[
"\033[2XRcwaMapping\033[102X by finite field size, modulus and list of coef\
ficients", "2.2-5", [ 2, 2, 5 ], 304, 12,
"rcwamapping by finite field size modulus and list of coefficients",
"X8799551B83644B37" ],
[
"\033[2XRcwaMapping\033[102X by two partitions of a ring into residue class\
es", "2.2-5", [ 2, 2, 5 ], 304, 12,
"rcwamapping by two partitions of a ring into residue classes",
"X8799551B83644B37" ],
[ "\033[2XRcwaMapping\033[102X by residue class cycles", "2.2-5",
[ 2, 2, 5 ], 304, 12, "rcwamapping by residue class cycles",
"X8799551B83644B37" ],
[ "\033[2XRcwaMapping\033[102X by arithmetical expression", "2.2-5",
[ 2, 2, 5 ], 304, 12, "rcwamapping by arithmetical expression",
"X8799551B83644B37" ],
[
"\033[2XLocalizedRcwaMapping\033[102X for an rcwa mapping of Z and a prime"
, "2.2-6", [ 2, 2, 6 ], 415, 13,
"localizedrcwamapping for an rcwa mapping of z and a prime",
"X7F1A559387D0226E" ],
[
"\033[2XSemilocalizedRcwaMapping\033[102X for an rcwa mapping of Z and a se\
t of primes", "2.2-6", [ 2, 2, 6 ], 415, 13,
"semilocalizedrcwamapping for an rcwa mapping of z and a set of primes",
"X7F1A559387D0226E" ],
[ "\033[10XView\033[110X for an rcwa mapping", "2.2-6", [ 2, 2, 6 ], 415,
13, "view for an rcwa mapping", "X7F1A559387D0226E" ],
[ "\033[10XDisplay\033[110X for an rcwa mapping", "2.2-6", [ 2, 2, 6 ],
415, 13, "display for an rcwa mapping", "X7F1A559387D0226E" ],
[ "\033[10XPrint\033[110X for an rcwa mapping", "2.2-6", [ 2, 2, 6 ], 415,
13, "print for an rcwa mapping", "X7F1A559387D0226E" ],
[ "\033[10XString\033[110X for an rcwa mapping", "2.2-6", [ 2, 2, 6 ], 415,
13, "string for an rcwa mapping", "X7F1A559387D0226E" ],
[ "\033[10XLaTeXStringRcwaMapping\033[110X for an rcwa mapping", "2.2-6",
[ 2, 2, 6 ], 415, 13, "latexstringrcwamapping for an rcwa mapping",
"X7F1A559387D0226E" ],
[ "\033[10XLaTeXAndXDVI\033[110X for an rcwa mapping", "2.2-6",
[ 2, 2, 6 ], 415, 13, "latexandxdvi for an rcwa mapping",
"X7F1A559387D0226E" ],
[ "rcwa mapping arithmetic operations", "2.3", [ 2, 3, 0 ], 481, 14,
"rcwa mapping arithmetic operations", "X78E796B8824C4FC8" ],
[ "\033[10XOrder\033[110X of an rcwa permutation", "2.3", [ 2, 3, 0 ], 481,
14, "order of an rcwa permutation", "X78E796B8824C4FC8" ],
[ "\033[10XIsTame\033[110X for an rcwa mapping", "2.3", [ 2, 3, 0 ], 481,
14, "istame for an rcwa mapping", "X78E796B8824C4FC8" ],
[ "\033[10XIsInjective\033[110X for an rcwa mapping", "2.3", [ 2, 3, 0 ],
481, 14, "isinjective for an rcwa mapping", "X78E796B8824C4FC8" ],
[ "\033[10XIsSurjective\033[110X for an rcwa mapping", "2.3", [ 2, 3, 0 ],
481, 14, "issurjective for an rcwa mapping", "X78E796B8824C4FC8" ],
[ "\033[10XIsBijective\033[110X for an rcwa mapping", "2.3", [ 2, 3, 0 ],
481, 14, "isbijective for an rcwa mapping", "X78E796B8824C4FC8" ],
[ "\033[10XImage\033[110X of an rcwa mapping", "2.3", [ 2, 3, 0 ], 481, 14,
"image of an rcwa mapping", "X78E796B8824C4FC8" ],
[ "rcwa mapping images under", "2.3", [ 2, 3, 0 ], 481, 14,
"rcwa mapping images under", "X78E796B8824C4FC8" ],
[ "\033[10XPreImageElm\033[110X of a ring element under an rcwa mapping",
"2.3", [ 2, 3, 0 ], 481, 14,
"preimageelm of a ring element under an rcwa mapping",
"X78E796B8824C4FC8" ],
[ "\033[10XPreImagesElm\033[110X of a ring element under an rcwa mapping",
"2.3", [ 2, 3, 0 ], 481, 14,
"preimageselm of a ring element under an rcwa mapping",
"X78E796B8824C4FC8" ],
[
"\033[10XPreImage\033[110X of a set of ring elements under an rcwa mapping"
, "2.3", [ 2, 3, 0 ], 481, 14,
"preimage of a set of ring elements under an rcwa mapping",
"X78E796B8824C4FC8" ],
[ "\033[10XPreImage\033[110X of a residue class union under an rcwa mapping"
, "2.3", [ 2, 3, 0 ], 481, 14,
"preimage of a residue class union under an rcwa mapping",
"X78E796B8824C4FC8" ],
[ "\033[10XSupport\033[110X of an rcwa mapping", "2.3", [ 2, 3, 0 ], 481,
14, "support of an rcwa mapping", "X78E796B8824C4FC8" ],
[ "\033[10XMovedPoints\033[110X of an rcwa mapping", "2.3", [ 2, 3, 0 ],
481, 14, "movedpoints of an rcwa mapping", "X78E796B8824C4FC8" ],
[
"\033[10XRestrictedPerm\033[110X for an rcwa permutation and a residue clas\
s union", "2.3", [ 2, 3, 0 ], 481, 14,
"restrictedperm for an rcwa permutation and a residue class union",
"X78E796B8824C4FC8" ],
[ "\033[10XDensityOfSupport\033[110X of an rcwa mapping", "2.3",
[ 2, 3, 0 ], 481, 14, "densityofsupport of an rcwa mapping",
"X78E796B8824C4FC8" ],
[ "\033[10XDensityOfSetOfFixedPoints\033[110X of an rcwa mapping", "2.3",
[ 2, 3, 0 ], 481, 14, "densityofsetoffixedpoints of an rcwa mapping",
"X78E796B8824C4FC8" ],
[ "\033[10XModulus\033[110X of an rcwa mapping", "2.3", [ 2, 3, 0 ], 481,
14, "modulus of an rcwa mapping", "X78E796B8824C4FC8" ],
[ "\033[10XMod\033[110X for an rcwa mapping", "2.3", [ 2, 3, 0 ], 481, 14,
"mod for an rcwa mapping", "X78E796B8824C4FC8" ],
[ "\033[10XCoefficients\033[110X of an rcwa mapping", "2.3", [ 2, 3, 0 ],
481, 14, "coefficients of an rcwa mapping", "X78E796B8824C4FC8" ],
[ "rcwa mapping coercion", "2.3", [ 2, 3, 0 ], 481, 14,
"rcwa mapping coercion", "X78E796B8824C4FC8" ],
[ "rcwa group coercion", "2.3", [ 2, 3, 0 ], 481, 14, "rcwa group coercion",
"X78E796B8824C4FC8" ],
[ "class-wise translating definition", "2.4", [ 2, 4, 0 ], 605, 16,
"class-wise translating definition", "X7C16D22C7BD40FDC" ],
[ "integral definition", "2.4", [ 2, 4, 0 ], 605, 16, "integral definition",
"X7C16D22C7BD40FDC" ],
[ "balanced definition", "2.4", [ 2, 4, 0 ], 605, 16, "balanced definition",
"X7C16D22C7BD40FDC" ],
[ "sign-preserving definition", "2.4", [ 2, 4, 0 ], 605, 16,
"sign-preserving definition", "X7C16D22C7BD40FDC" ],
[ "maximal shift definition", "2.4", [ 2, 4, 0 ], 605, 16,
"maximal shift definition", "X7C16D22C7BD40FDC" ],
[ "rcwa mapping prime set", "2.4", [ 2, 4, 0 ], 605, 16,
"rcwa mapping prime set", "X7C16D22C7BD40FDC" ],
[ "rcwa mapping maximal shift", "2.4", [ 2, 4, 0 ], 605, 16,
"rcwa mapping maximal shift", "X7C16D22C7BD40FDC" ],
[ "rcwa mapping class-wise translating", "2.4", [ 2, 4, 0 ], 605, 16,
"rcwa mapping class-wise translating", "X7C16D22C7BD40FDC" ],
[ "rcwa mapping integral", "2.4", [ 2, 4, 0 ], 605, 16,
"rcwa mapping integral", "X7C16D22C7BD40FDC" ],
[ "rcwa mapping balanced", "2.4", [ 2, 4, 0 ], 605, 16,
"rcwa mapping balanced", "X7C16D22C7BD40FDC" ],
[ "rcwa mapping class-wise order-preserving", "2.4", [ 2, 4, 0 ], 605, 16,
"rcwa mapping class-wise order-preserving", "X7C16D22C7BD40FDC" ],
[ "rcwa mapping sign-preserving", "2.4", [ 2, 4, 0 ], 605, 16,
"rcwa mapping sign-preserving", "X7C16D22C7BD40FDC" ],
[ "\033[10XMultiplier\033[110X of an rcwa mapping", "2.4", [ 2, 4, 0 ],
605, 16, "multiplier of an rcwa mapping", "X7C16D22C7BD40FDC" ],
[ "\033[10XMult\033[110X for an rcwa mapping", "2.4", [ 2, 4, 0 ], 605, 16,
"mult for an rcwa mapping", "X7C16D22C7BD40FDC" ],
[ "\033[10XDivisor\033[110X of an rcwa mapping", "2.4", [ 2, 4, 0 ], 605,
16, "divisor of an rcwa mapping", "X7C16D22C7BD40FDC" ],
[ "\033[10XDiv\033[110X for an rcwa mapping", "2.4", [ 2, 4, 0 ], 605, 16,
"div for an rcwa mapping", "X7C16D22C7BD40FDC" ],
[ "\033[10XPrimeSet\033[110X of an rcwa mapping", "2.4", [ 2, 4, 0 ], 605,
16, "primeset of an rcwa mapping", "X7C16D22C7BD40FDC" ],
[ "\033[10XMaximalShift\033[110X of an rcwa mapping of Z", "2.4",
[ 2, 4, 0 ], 605, 16, "maximalshift of an rcwa mapping of z",
"X7C16D22C7BD40FDC" ],
[ "\033[10XIsClassWiseTranslating\033[110X for an rcwa mapping", "2.4",
[ 2, 4, 0 ], 605, 16, "isclasswisetranslating for an rcwa mapping",
"X7C16D22C7BD40FDC" ],
[ "\033[10XIsIntegral\033[110X for an rcwa mapping", "2.4", [ 2, 4, 0 ],
605, 16, "isintegral for an rcwa mapping", "X7C16D22C7BD40FDC" ],
[ "\033[10XIsBalanced\033[110X for an rcwa mapping", "2.4", [ 2, 4, 0 ],
605, 16, "isbalanced for an rcwa mapping", "X7C16D22C7BD40FDC" ],
[ "\033[10XIsClassWiseOrderPreserving\033[110X for an rcwa mapping", "2.4",
[ 2, 4, 0 ], 605, 16, "isclasswiseorderpreserving for an rcwa mapping",
"X7C16D22C7BD40FDC" ],
[ "\033[10XIsSignPreserving\033[110X for an rcwa mapping", "2.4",
[ 2, 4, 0 ], 605, 16, "issignpreserving for an rcwa mapping",
"X7C16D22C7BD40FDC" ],
[ "\033[2XLargestSourcesOfAffineMappings\033[102X for an rcwa mapping",
"2.4-1", [ 2, 4, 1 ], 663, 17,
"largestsourcesofaffinemappings for an rcwa mapping",
"X7C21406085B69C30" ],
[ "\033[2XFixedPointsOfAffinePartialMappings\033[102X for an rcwa mapping",
"2.4-2", [ 2, 4, 2 ], 686, 18,
"fixedpointsofaffinepartialmappings for an rcwa mapping",
"X7D6D0F2783AD02F4" ],
[ "\033[2XMultpk\033[102X for an rcwa mapping, a prime and an exponent",
"2.4-3", [ 2, 4, 3 ], 707, 18,
"multpk for an rcwa mapping a prime and an exponent",
"X7A2E308C860B46E3" ],
[ "\033[10XClassWiseOrderPreservingOn\033[110X", "2.4-3", [ 2, 4, 3 ], 707,
18, "classwiseorderpreservingon", "X7A2E308C860B46E3" ],
[ "\033[10XClassWiseConstantOn\033[110X", "2.4-3", [ 2, 4, 3 ], 707, 18,
"classwiseconstanton", "X7A2E308C860B46E3" ],
[ "\033[10XClassWiseOrderReversingOn\033[110X", "2.4-3", [ 2, 4, 3 ], 707,
18, "classwiseorderreversingon", "X7A2E308C860B46E3" ],
[ "\033[10XShiftsUpOn\033[110X", "2.4-3", [ 2, 4, 3 ], 707, 18,
"shiftsupon", "X7A2E308C860B46E3" ],
[ "\033[10XShiftsDownOn\033[110X", "2.4-3", [ 2, 4, 3 ], 707, 18,
"shiftsdownon", "X7A2E308C860B46E3" ],
[ "\033[2XDeterminant\033[102X of an rcwa mapping of Z", "2.4-4",
[ 2, 4, 4 ], 749, 19, "determinant of an rcwa mapping of z",
"X7B1E53127D9AE52F" ],
[ "\033[2XSign\033[102X of an rcwa permutation of Z", "2.4-5", [ 2, 4, 5 ],
783, 19, "sign of an rcwa permutation of z", "X8365EEEB82C946FD" ],
[ "\033[2XCTCSCRSplit\033[102X for an rcwa permutation of Z", "2.5-1",
[ 2, 5, 1 ], 823, 20, "ctcscrsplit for an rcwa permutation of z",
"X829BA0537F2372FF" ],
[ "\033[2XFactorizationIntoCSCRCT\033[102X for an rcwa permutation of Z",
"2.5-2", [ 2, 5, 2 ], 852, 20,
"factorizationintocscrct for an rcwa permutation of z",
"X853885A182EC5104" ],
[ "\033[2XFactorization\033[102X for an rcwa permutation of Z", "2.5-2",
[ 2, 5, 2 ], 852, 20, "factorization for an rcwa permutation of z",
"X853885A182EC5104" ],
[ "\033[2XPrimeSwitch\033[102X p", "2.5-3", [ 2, 5, 3 ], 903, 21,
"primeswitch p", "X861C74E97AE5DA3B" ],
[ "\033[2XPrimeSwitch\033[102X p, k", "2.5-3", [ 2, 5, 3 ], 903, 21,
"primeswitch p k", "X861C74E97AE5DA3B" ],
[ "\033[2XPrimeSwitch\033[102X p, r, m", "2.5-3", [ 2, 5, 3 ], 903, 21,
"primeswitch p r m", "X861C74E97AE5DA3B" ],
[ "\033[2XPrimeSwitch\033[102X p, cl", "2.5-3", [ 2, 5, 3 ], 903, 21,
"primeswitch p cl", "X861C74E97AE5DA3B" ],
[ "\033[10XIsPrimeSwitch\033[110X for an rcwa mapping", "2.5-3",
[ 2, 5, 3 ], 903, 21, "isprimeswitch for an rcwa mapping",
"X861C74E97AE5DA3B" ],
[ "\033[2XmKnot\033[102X for an odd integer", "2.5-4", [ 2, 5, 4 ], 985,
23, "mknot for an odd integer", "X789CB69C7D97B0C4" ],
[ "\033[2XRoot\033[102X k-th root of an rcwa mapping", "2.6-1",
[ 2, 6, 1 ], 1014, 23, "root k-th root of an rcwa mapping",
"X873692CE78433859" ],
[ "\033[2XRightInverse\033[102X of an injective rcwa mapping", "2.7-1",
[ 2, 7, 1 ], 1046, 24, "rightinverse of an injective rcwa mapping",
"X7AEFF16E86533633" ],
[ "\033[2XCommonRightInverse\033[102X of two injective rcwa mappings",
"2.7-2", [ 2, 7, 2 ], 1061, 24,
"commonrightinverse of two injective rcwa mappings",
"X87C5B9CA7E319233" ],
[ "\033[2XImageDensity\033[102X of an rcwa mapping", "2.7-3", [ 2, 7, 3 ],
1086, 24, "imagedensity of an rcwa mapping", "X808D9EDF7BA27467" ],
[ "\033[10XInjectiveAsMappingFrom\033[110X for an rcwa mapping", "2.7-3",
[ 2, 7, 3 ], 1086, 24, "injectiveasmappingfrom for an rcwa mapping",
"X808D9EDF7BA27467" ],
[ "\033[2XTrajectory\033[102X for rcwa mapping, starting point, length",
"2.8-1", [ 2, 8, 1 ], 1122, 25,
"trajectory for rcwa mapping starting point length",
"X7C72174D7CCB6348" ],
[
"\033[2XTrajectory\033[102X for rcwa mapping, starting point, length, modul\
us", "2.8-1", [ 2, 8, 1 ], 1122, 25,
"trajectory for rcwa mapping starting point length modulus",
"X7C72174D7CCB6348" ],
[
"\033[2XTrajectory\033[102X for rcwa mapping, starting point, set of end po\
ints", "2.8-1", [ 2, 8, 1 ], 1122, 25,
"trajectory for rcwa mapping starting point set of end points",
"X7C72174D7CCB6348" ],
[
"\033[2XTrajectory\033[102X for rcwa mapping, starting point, set of end po\
ints, modulus", "2.8-1", [ 2, 8, 1 ], 1122, 25,
"trajectory for rcwa mapping starting point set of end points modulus",
"X7C72174D7CCB6348" ],
[
"\033[2XTrajectory\033[102X for rcwa mapping, starting point, length, coeff\
.-spec.", "2.8-2", [ 2, 8, 2 ], 1156, 25,
"trajectory for rcwa mapping starting point length coeff.-spec.",
"X7FFD09837E934853" ],
[
"\033[2XTrajectory\033[102X for rcwa mapping, starting point, set of end po\
ints, coeff.-spec.", "2.8-2", [ 2, 8, 2 ], 1156, 25,
"trajectory for rcwa mapping starting point set of end points coeff.-spe\
c.", "X7FFD09837E934853" ],
[ "\033[2XIncreasingOn\033[102X for an rcwa mapping", "2.8-3", [ 2, 8, 3 ],
1185, 26, "increasingon for an rcwa mapping", "X7E0244A386744185" ],
[ "\033[2XDecreasingOn\033[102X for an rcwa mapping", "2.8-3", [ 2, 8, 3 ],
1185, 26, "decreasingon for an rcwa mapping", "X7E0244A386744185" ],
[ "\033[2XTransitionGraph\033[102X for an rcwa mapping and a modulus",
"2.8-4", [ 2, 8, 4 ], 1216, 26,
"transitiongraph for an rcwa mapping and a modulus",
"X780841E07CAE7543" ],
[ "rcwa mapping transition graph", "2.8-4", [ 2, 8, 4 ], 1216, 26,
"rcwa mapping transition graph", "X780841E07CAE7543" ],
[ "\033[2XOrbitsModulo\033[102X for an rcwa mapping and a modulus",
"2.8-5", [ 2, 8, 5 ], 1235, 27,
"orbitsmodulo for an rcwa mapping and a modulus", "X7F03CC4179424AA9" ],
[ "\033[2XFactorizationOnConnectedComponents\033[102X for an rcwa mapping an\
d a modulus", "2.8-6", [ 2, 8, 6 ], 1249, 27,
"factorizationonconnectedcomponents for an rcwa mapping and a modulus",
"X7F11051E866C197F" ],
[ "\033[2XTransitionMatrix\033[102X for an rcwa mapping and a modulus",
"2.8-7", [ 2, 8, 7 ], 1268, 27,
"transitionmatrix for an rcwa mapping and a modulus",
"X7B6833D67D916EF9" ],
[ "\033[2XSources\033[102X of an rcwa mapping", "2.8-8", [ 2, 8, 8 ], 1295,
28, "sources of an rcwa mapping", "X81DBA2D58526BE7E" ],
[ "\033[2XSinks\033[102X of an rcwa mapping", "2.8-8", [ 2, 8, 8 ], 1295,
28, "sinks of an rcwa mapping", "X81DBA2D58526BE7E" ],
[ "\033[2XLoops\033[102X of an rcwa mapping", "2.8-9", [ 2, 8, 9 ], 1318,
28, "loops of an rcwa mapping", "X80221A4D81AF7453" ],
[ "\033[2XGluckTaylorInvariant\033[102X of a trajectory", "2.8-10",
[ 2, 8, 10 ], 1338, 28, "glucktaylorinvariant of a trajectory",
"X8773152E81A30123" ],
[ "\033[2XLikelyContractionCentre\033[102X of an rcwa mapping", "2.8-11",
[ 2, 8, 11 ], 1370, 29, "likelycontractioncentre of an rcwa mapping",
"X84F6A29280E2F925" ],
[ "\033[2XGuessedDivergence\033[102X of an rcwa mapping", "2.8-12",
[ 2, 8, 12 ], 1398, 29, "guesseddivergence of an rcwa mapping",
"X81E0D8E3817B3D16" ],
[ "rcwa mapping sparse representation", "2.9", [ 2, 9, 0 ], 1415, 30,
"rcwa mapping sparse representation", "X86F0E0D17E6A9663" ],
[
"\033[10XRcwaMapping\033[110X by list of coefficients, sparse representatio\
n", "2.9", [ 2, 9, 0 ], 1415, 30,
"rcwamapping by list of coefficients sparse representation",
"X86F0E0D17E6A9663" ],
[ "\033[2XSparseRepresentation\033[102X of an rcwa mapping", "2.9-1",
[ 2, 9, 1 ], 1448, 30, "sparserepresentation of an rcwa mapping",
"X879451B17AD78B07" ],
[ "\033[2XSparseRep\033[102X of an rcwa mapping", "2.9-1", [ 2, 9, 1 ],
1448, 30, "sparserep of an rcwa mapping", "X879451B17AD78B07" ],
[ "\033[2XStandardRepresentation\033[102X of an rcwa mapping", "2.9-1",
[ 2, 9, 1 ], 1448, 30, "standardrepresentation of an rcwa mapping",
"X879451B17AD78B07" ],
[ "\033[2XStandardRep\033[102X of an rcwa mapping", "2.9-1", [ 2, 9, 1 ],
1448, 30, "standardrep of an rcwa mapping", "X879451B17AD78B07" ],
[ "\033[2XIsRcwaMapping\033[102X", "2.10-1", [ 2, 10, 1 ], 1502, 31,
"isrcwamapping", "X7927C13782729CE9" ],
[ "\033[2XIsRcwaMappingOfZ\033[102X", "2.10-1", [ 2, 10, 1 ], 1502, 31,
"isrcwamappingofz", "X7927C13782729CE9" ],
[ "\033[2XIsRcwaMappingOfZ_pi\033[102X", "2.10-1", [ 2, 10, 1 ], 1502, 31,
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[ "\033[2XIsRcwaMappingOfGFqx\033[102X", "2.10-1", [ 2, 10, 1 ], 1502, 31,
"isrcwamappingofgfqx", "X7927C13782729CE9" ],
[ "\033[10XIsRcwaMappingOfZOrZ_pi\033[110X", "2.10-1", [ 2, 10, 1 ], 1502,
31, "isrcwamappingofzorz_pi", "X7927C13782729CE9" ],
[ "\033[10XIsRcwaMappingStandardRep\033[110X", "2.10-1", [ 2, 10, 1 ],
1502, 31, "isrcwamappingstandardrep", "X7927C13782729CE9" ],
[ "\033[10XExtRepOfObj\033[110X", "2.10-1", [ 2, 10, 1 ], 1502, 31,
"extrepofobj", "X7927C13782729CE9" ],
[ "\033[10XObjByExtRep\033[110X", "2.10-1", [ 2, 10, 1 ], 1502, 31,
"objbyextrep", "X7927C13782729CE9" ],
[ "\033[2XRcwaMappingsFamily\033[102X of a ring", "2.10-2", [ 2, 10, 2 ],
1520, 31, "rcwamappingsfamily of a ring", "X825DD365822934AF" ],
[ "\033[10XGroup\033[110X", "3.1", [ 3, 1, 0 ], 7, 32, "group",
"X81242A6586A604A3" ],
[ "\033[10XGroupByGenerators\033[110X", "3.1", [ 3, 1, 0 ], 7, 32,
"groupbygenerators", "X81242A6586A604A3" ],
[ "\033[10XGroupWithGenerators\033[110X", "3.1", [ 3, 1, 0 ], 7, 32,
"groupwithgenerators", "X81242A6586A604A3" ],
[ "\033[2XIsomorphismRcwaGroup\033[102X for a group, over a given ring",
"3.1-1", [ 3, 1, 1 ], 28, 32,
"isomorphismrcwagroup for a group over a given ring",
"X7EB8A301790290C7" ],
[ "\033[2XIsomorphismRcwaGroup\033[102X for a group", "3.1-1", [ 3, 1, 1 ],
28, 32, "isomorphismrcwagroup for a group", "X7EB8A301790290C7" ],
[ "\033[2XDirectProduct\033[102X for rcwa groups over Z", "3.1-2",
[ 3, 1, 2 ], 65, 33, "directproduct for rcwa groups over z",
"X79CAE48981C11FE8" ],
[
"\033[2XWreathProduct\033[102X for an rcwa group over Z and a permutation g\
roup", "3.1-3", [ 3, 1, 3 ], 86, 33,
"wreathproduct for an rcwa group over z and a permutation group",
"X80D13D2A7AD73C2C" ],
[
"\033[2XWreathProduct\033[102X for an rcwa group over Z and the infinite cy\
clic group", "3.1-3", [ 3, 1, 3 ], 86, 33,
"wreathproduct for an rcwa group over z and the infinite cyclic group",
"X80D13D2A7AD73C2C" ],
[ "\033[2XMergerExtension\033[102X for finite permutation groups", "3.1-4",
[ 3, 1, 4 ], 128, 34, "mergerextension for finite permutation groups",
"X8794913B878DD5C4" ],
[
"\033[2XGroupByResidueClasses\033[102X the group `permuting a given list of\
residue classes'", "3.1-5", [ 3, 1, 5 ], 180, 35,
"groupbyresidueclasses the group permuting a given list of residue class\
es", "X8143AB647801F438" ],
[
"\033[2XRestriction\033[102X of an rcwa mapping, by an injective rcwa mappi\
ng", "3.1-6", [ 3, 1, 6 ], 214, 35,
"restriction of an rcwa mapping by an injective rcwa mapping",
"X852EF2C079E4D7FF" ],
[
"\033[2XRestriction\033[102X of an rcwa group, by an injective rcwa mapping\
", "3.1-6", [ 3, 1, 6 ], 214, 35,
"restriction of an rcwa group by an injective rcwa mapping",
"X852EF2C079E4D7FF" ],
[
"\033[2XInduction\033[102X of an rcwa mapping, by an injective rcwa mapping\
", "3.1-7", [ 3, 1, 7 ], 242, 36,
"induction of an rcwa mapping by an injective rcwa mapping",
"X82171D7287CBED95" ],
[ "\033[2XInduction\033[102X of an rcwa group, by an injective rcwa mapping"
, "3.1-7", [ 3, 1, 7 ], 242, 36,
"induction of an rcwa group by an injective rcwa mapping",
"X82171D7287CBED95" ],
[ "\033[10XSmallGeneratingSet\033[110X", "3.1-7", [ 3, 1, 7 ], 242, 36,
"smallgeneratingset", "X82171D7287CBED95" ],
[ "\033[10XView\033[110X for an rcwa group", "3.1-7", [ 3, 1, 7 ], 242, 36,
"view for an rcwa group", "X82171D7287CBED95" ],
[ "\033[10XDisplay\033[110X for an rcwa group", "3.1-7", [ 3, 1, 7 ], 242,
36, "display for an rcwa group", "X82171D7287CBED95" ],
[ "\033[10XPrint\033[110X for an rcwa group", "3.1-7", [ 3, 1, 7 ], 242,
36, "print for an rcwa group", "X82171D7287CBED95" ],
[ "\033[10XString\033[110X for an rcwa group", "3.1-7", [ 3, 1, 7 ], 242,
36, "string for an rcwa group", "X82171D7287CBED95" ],
[ "rcwa group modulus", "3.1-7", [ 3, 1, 7 ], 242, 36, "rcwa group modulus",
"X82171D7287CBED95" ],
[ "rcwa group multiplier", "3.1-7", [ 3, 1, 7 ], 242, 36,
"rcwa group multiplier", "X82171D7287CBED95" ],
[ "rcwa group divisor", "3.1-7", [ 3, 1, 7 ], 242, 36, "rcwa group divisor",
"X82171D7287CBED95" ],
[ "rcwa group prime set", "3.1-7", [ 3, 1, 7 ], 242, 36,
"rcwa group prime set", "X82171D7287CBED95" ],
[ "rcwa group class-wise translating", "3.1-7", [ 3, 1, 7 ], 242, 36,
"rcwa group class-wise translating", "X82171D7287CBED95" ],
[ "rcwa group integral", "3.1-7", [ 3, 1, 7 ], 242, 36,
"rcwa group integral", "X82171D7287CBED95" ],
[ "rcwa group class-wise order-preserving", "3.1-7", [ 3, 1, 7 ], 242, 36,
"rcwa group class-wise order-preserving", "X82171D7287CBED95" ],
[ "rcwa group sign-preserving", "3.1-7", [ 3, 1, 7 ], 242, 36,
"rcwa group sign-preserving", "X82171D7287CBED95" ],
[ "\033[10XModulus\033[110X of an rcwa group", "3.1-7", [ 3, 1, 7 ], 242,
36, "modulus of an rcwa group", "X82171D7287CBED95" ],
[ "\033[10XMod\033[110X for an rcwa group", "3.1-7", [ 3, 1, 7 ], 242, 36,
"mod for an rcwa group", "X82171D7287CBED95" ],
[ "\033[10XModulusOfRcwaMonoid\033[110X for an rcwa group", "3.1-7",
[ 3, 1, 7 ], 242, 36, "modulusofrcwamonoid for an rcwa group",
"X82171D7287CBED95" ],
[ "\033[10XMultiplier\033[110X of an rcwa group", "3.1-7", [ 3, 1, 7 ],
242, 36, "multiplier of an rcwa group", "X82171D7287CBED95" ],
[ "\033[10XMult\033[110X for an rcwa group", "3.1-7", [ 3, 1, 7 ], 242, 36,
"mult for an rcwa group", "X82171D7287CBED95" ],
[ "\033[10XDivisor\033[110X of an rcwa group", "3.1-7", [ 3, 1, 7 ], 242,
36, "divisor of an rcwa group", "X82171D7287CBED95" ],
[ "\033[10XDiv\033[110X for an rcwa group", "3.1-7", [ 3, 1, 7 ], 242, 36,
"div for an rcwa group", "X82171D7287CBED95" ],
[ "\033[10XPrimeSet\033[110X of an rcwa group", "3.1-7", [ 3, 1, 7 ], 242,
36, "primeset of an rcwa group", "X82171D7287CBED95" ],
[ "\033[10XIsClassWiseTranslating\033[110X for an rcwa group", "3.1-7",
[ 3, 1, 7 ], 242, 36, "isclasswisetranslating for an rcwa group",
"X82171D7287CBED95" ],
[ "\033[10XIsIntegral\033[110X for an rcwa group", "3.1-7", [ 3, 1, 7 ],
242, 36, "isintegral for an rcwa group", "X82171D7287CBED95" ],
[ "\033[10XIsClassWiseOrderPreserving\033[110X for an rcwa group", "3.1-7",
[ 3, 1, 7 ], 242, 36, "isclasswiseorderpreserving for an rcwa group",
"X82171D7287CBED95" ],
[ "\033[10XIsSignPreserving\033[110X for an rcwa group", "3.1-7",
[ 3, 1, 7 ], 242, 36, "issignpreserving for an rcwa group",
"X82171D7287CBED95" ],
[ "\033[2XRCWA\033[102X the group formed by all rcwa permutations of a ring"
, "3.1-8", [ 3, 1, 8 ], 299, 37,
"rcwa the group formed by all rcwa permutations of a ring",
"X79450C1C8756FEB3" ],
[ "\033[10XNrConjugacyClassesOfRCWAZOfOrder\033[110X", "3.1-8",
[ 3, 1, 8 ], 299, 37, "nrconjugacyclassesofrcwazoforder",
"X79450C1C8756FEB3" ],
[
"\033[2XCT\033[102X the group generated by all class transpositions of a ri\
ng", "3.1-9", [ 3, 1, 9 ], 329, 37,
"ct the group generated by all class transpositions of a ring",
"X7BD42D8481300E25" ],
[ "\033[2XCT\033[102X subgroup of CT(Z)", "3.1-9", [ 3, 1, 9 ], 329, 37,
"ct subgroup of ct z", "X7BD42D8481300E25" ],
[ "\033[10XMirrored\033[110X", "3.1-9", [ 3, 1, 9 ], 329, 37, "mirrored",
"X7BD42D8481300E25" ],
[ "\033[10XAllElementsOfCTZWithGivenModulus\033[110X", "3.1-9",
[ 3, 1, 9 ], 329, 37, "allelementsofctzwithgivenmodulus",
"X7BD42D8481300E25" ],
[ "\033[10XNrElementsOfCTZWithGivenModulus\033[110X", "3.1-9", [ 3, 1, 9 ],
329, 37, "nrelementsofctzwithgivenmodulus", "X7BD42D8481300E25" ],
[ "\033[10XNrConjugacyClassesOfCTZOfOrder\033[110X", "3.1-9", [ 3, 1, 9 ],
329, 37, "nrconjugacyclassesofctzoforder", "X7BD42D8481300E25" ],
[ "\033[2XStructureDescription\033[102X for an rcwa group", "3.2-1",
[ 3, 2, 1 ], 405, 38, "structuredescription for an rcwa group",
"X864A7E3E87F366A8" ],
[ "\033[10XSize\033[110X for an rcwa group", "3.2-1", [ 3, 2, 1 ], 405, 38,
"size for an rcwa group", "X864A7E3E87F366A8" ],
[ "\033[10XIsomorphismPermGroup\033[110X for a finite rcwa group", "3.2-1",
[ 3, 2, 1 ], 405, 38, "isomorphismpermgroup for a finite rcwa group",
"X864A7E3E87F366A8" ],
[ "rcwa group membership test", "3.2-1", [ 3, 2, 1 ], 405, 38,
"rcwa group membership test", "X864A7E3E87F366A8" ],
[ "\033[10XOrbitLengthBound\033[110X", "3.2-1", [ 3, 2, 1 ], 405, 38,
"orbitlengthbound", "X864A7E3E87F366A8" ],
[ "rcwa group conjugacy problem", "3.2-1", [ 3, 2, 1 ], 405, 38,
"rcwa group conjugacy problem", "X864A7E3E87F366A8" ],
[ "\033[10XIsConjugate\033[110X for elements of RCWA(R)", "3.2-1",
[ 3, 2, 1 ], 405, 38, "isconjugate for elements of rcwa r",
"X864A7E3E87F366A8" ],
[ "\033[10XIsConjugate\033[110X for elements of CT(R)", "3.2-1",
[ 3, 2, 1 ], 405, 38, "isconjugate for elements of ct r",
"X864A7E3E87F366A8" ],
[ "\033[10XIsTame\033[110X for an rcwa group", "3.2-1", [ 3, 2, 1 ], 405,
38, "istame for an rcwa group", "X864A7E3E87F366A8" ],
[ "\033[10XIsSolvableGroup\033[110X for an rcwa group", "3.2-1",
[ 3, 2, 1 ], 405, 38, "issolvablegroup for an rcwa group",
"X864A7E3E87F366A8" ],
[ "\033[10XIsPerfectGroup\033[110X for an rcwa group", "3.2-1",
[ 3, 2, 1 ], 405, 38, "isperfectgroup for an rcwa group",
"X864A7E3E87F366A8" ],
[ "\033[10XDerivedSubgroup\033[110X of an rcwa group", "3.2-1",
[ 3, 2, 1 ], 405, 38, "derivedsubgroup of an rcwa group",
"X864A7E3E87F366A8" ],
[ "\033[10XIndex\033[110X for rcwa groups", "3.2-1", [ 3, 2, 1 ], 405, 38,
"index for rcwa groups", "X864A7E3E87F366A8" ],
[ "\033[10XIsomorphismMatrixGroup\033[110X for an rcwa group", "3.2-1",
[ 3, 2, 1 ], 405, 38, "isomorphismmatrixgroup for an rcwa group",
"X864A7E3E87F366A8" ],
[ "\033[10XExponent\033[110X of an rcwa group", "3.2-1", [ 3, 2, 1 ], 405,
38, "exponent of an rcwa group", "X864A7E3E87F366A8" ],
[
"\033[2XEpimorphismFromFpGroup\033[102X for an rcwa group and a search radi\
us", "3.2-2", [ 3, 2, 2 ], 599, 42,
"epimorphismfromfpgroup for an rcwa group and a search radius",
"X83527DA37C5CB2C7" ],
[
"\033[2XEpimorphismFromFpGroup\033[102X for rcwa group, search radius and b\
ound on number of affine parts", "3.2-2", [ 3, 2, 2 ], 599, 42,
"epimorphismfromfpgroup for rcwa group search radius and bound on number\
of affine parts", "X83527DA37C5CB2C7" ],
[
"\033[2XPreImagesRepresentative\033[102X for an epi. from a free group to a\
n rcwa group", "3.2-3", [ 3, 2, 3 ], 632, 42,
"preimagesrepresentative for an epi. from a free group to an rcwa group"
, "X8463E34286344F06" ],
[
"\033[10XPreImagesRepresentatives\033[110X for an epi. from a free group to\
an rcwa group", "3.2-3", [ 3, 2, 3 ], 632, 42,
"preimagesrepresentatives for an epi. from a free group to an rcwa group\
", "X8463E34286344F06" ],
[ "\033[10XSupport\033[110X of an rcwa group", "3.3", [ 3, 3, 0 ], 675, 43,
"support of an rcwa group", "X8151BE577FFDCE87" ],
[ "\033[10XMovedPoints\033[110X of an rcwa group", "3.3", [ 3, 3, 0 ], 675,
43, "movedpoints of an rcwa group", "X8151BE577FFDCE87" ],
[ "\033[10XIsTransitive\033[110X for an rcwa group, on its underlying ring",
"3.3", [ 3, 3, 0 ], 675, 43,
"istransitive for an rcwa group on its underlying ring",
"X8151BE577FFDCE87" ],
[
"\033[10XIsTransitiveOnNonnegativeIntegersInSupport\033[110X for an rcwa gr\
oup over Z", "3.3", [ 3, 3, 0 ], 675, 43,
"istransitiveonnonnegativeintegersinsupport for an rcwa group over z",
"X8151BE577FFDCE87" ],
[
"\033[10XTryIsTransitiveOnNonnegativeIntegersInSupport\033[110X for an rcwa\
group over Z and a search limit", "3.3", [ 3, 3, 0 ], 675, 43,
"tryistransitiveonnonnegativeintegersinsupport for an rcwa group over z \
and a search limit", "X8151BE577FFDCE87" ],
[
"\033[10XTransitivityCertificate\033[110X for an rcwa group over Z and a se\
arch limit", "3.3", [ 3, 3, 0 ], 675, 43,
"transitivitycertificate for an rcwa group over z and a search limit",
"X8151BE577FFDCE87" ],
[
"\033[10XTryToComputeTransitivityCertificate\033[110X for an rcwa group ove\
r Z and a search limit", "3.3", [ 3, 3, 0 ], 675, 43,
"trytocomputetransitivitycertificate for an rcwa group over z and a sear\
ch limit", "X8151BE577FFDCE87" ],
[
"\033[10XSimplifiedCertificate\033[110X for a transitivity certificate of a\
n rcwa groups over Z", "3.3", [ 3, 3, 0 ], 675, 43,
"simplifiedcertificate for a transitivity certificate of an rcwa groups \
over z", "X8151BE577FFDCE87" ],
[
"\033[10XSupersetOfOrbitRepresentatives\033[110X for an rcwa group over Z a\
nd search limits", "3.3", [ 3, 3, 0 ], 675, 43,
"supersetoforbitrepresentatives for an rcwa group over z and search limi\
ts", "X8151BE577FFDCE87" ],
[ "\033[2XOrbit\033[102X for an rcwa group and a point", "3.3-1",
[ 3, 3, 1 ], 841, 46, "orbit for an rcwa group and a point",
"X7C046BE97EE53692" ],
[ "\033[2XOrbit\033[102X for an rcwa group and a set", "3.3-1",
[ 3, 3, 1 ], 841, 46, "orbit for an rcwa group and a set",
"X7C046BE97EE53692" ],
[
"\033[2XGrowthFunctionOfOrbit\033[102X for an rcwa group, a point and bound\
s on radius and sphere size", "3.3-2", [ 3, 3, 2 ], 884, 46,
"growthfunctionoforbit for an rcwa group a point and bounds on radius an\
d sphere size", "X7B7A3AF97D195E33" ],
[
"\033[2XGrowthFunctionOfOrbit\033[102X for an rcwa group orbit and bounds o\
n radius and sphere size", "3.3-2", [ 3, 3, 2 ], 884, 46,
"growthfunctionoforbit for an rcwa group orbit and bounds on radius and \
sphere size", "X7B7A3AF97D195E33" ],
[ "\033[10XDistanceToNextSmallerPointInOrbit\033[110X", "3.3-2",
[ 3, 3, 2 ], 884, 46, "distancetonextsmallerpointinorbit",
"X7B7A3AF97D195E33" ],
[
"\033[2XDrawOrbitPicture\033[102X G, p0, bound, h, w, colored, palette, fil\
ename", "3.3-3", [ 3, 3, 3 ], 935, 47,
"draworbitpicture g p0 bound h w colored palette filename",
"X7D9DFAC97F9F0891" ],
[
"\033[2XShortOrbits\033[102X for rcwa group, set of points and bound on len\
gth", "3.3-4", [ 3, 3, 4 ], 969, 48,
"shortorbits for rcwa group set of points and bound on length",
"X78F145197F63A25D" ],
[
"\033[2XShortOrbits\033[102X for rcwa group, set of points and bounds on le\
ngth and points", "3.3-4", [ 3, 3, 4 ], 969, 48,
"shortorbits for rcwa group set of points and bounds on length and point\
s", "X78F145197F63A25D" ],
[
"\033[2XShortCycles\033[102X for rcwa permutation, set of points and bound \
on length", "3.3-4", [ 3, 3, 4 ], 969, 48,
"shortcycles for rcwa permutation set of points and bound on length",
"X78F145197F63A25D" ],
[
"\033[2XShortCycles\033[102X for rcwa permutation, set of points and bounds\
on length and points", "3.3-4", [ 3, 3, 4 ], 969, 48,
"shortcycles for rcwa permutation set of points and bounds on length and\
points", "X78F145197F63A25D" ],
[ "\033[2XShortCycles\033[102X for rcwa permutation and bound on length",
"3.3-4", [ 3, 3, 4 ], 969, 48,
"shortcycles for rcwa permutation and bound on length",
"X78F145197F63A25D" ],
[ "\033[10XCyclesOnFiniteOrbit\033[110X", "3.3-4", [ 3, 3, 4 ], 969, 48,
"cyclesonfiniteorbit", "X78F145197F63A25D" ],
[
"\033[2XShortResidueClassOrbits\033[102X for rcwa group and bounds on modul\
us and length", "3.3-5", [ 3, 3, 5 ], 1024, 49,
"shortresidueclassorbits for rcwa group and bounds on modulus and length\
", "X80D18D0778A96C16" ],
[
"\033[2XShortResidueClassCycles\033[102X for rcwa permutation and bounds on\
modulus and length", "3.3-5", [ 3, 3, 5 ], 1024, 49,
"shortresidueclasscycles for rcwa permutation and bounds on modulus and \
length", "X80D18D0778A96C16" ],
[
"\033[2XResidueClassCyclesThroughResidueClass\033[102X for rcwa permutation\
, residue class and bound on modulus", "3.3-5", [ 3, 3, 5 ], 1024, 49,
"residueclasscyclesthroughresidueclass for rcwa permutation residue clas\
s and bound on modulus", "X80D18D0778A96C16" ],
[ "\033[2XComputeCycleLength\033[102X for an rcwa permutation and a point",
"3.3-6", [ 3, 3, 6 ], 1087, 50,
"computecyclelength for an rcwa permutation and a point",
"X80C080287A355EFF" ],
[
"\033[2XCycleRepresentativesAndLengths\033[102X for rcwa permutation and se\
t of seed points", "3.3-7", [ 3, 3, 7 ], 1133, 51,
"cyclerepresentativesandlengths for rcwa permutation and set of seed poi\
nts", "X7F76B04E86C77B94" ],
[
"\033[2XFixedResidueClasses\033[102X for rcwa mapping and bound on modulus"
, "3.3-8", [ 3, 3, 8 ], 1183, 51,
"fixedresidueclasses for rcwa mapping and bound on modulus",
"X8777A62286597D53" ],
[ "\033[2XFixedResidueClasses\033[102X for rcwa group and bound on modulus",
"3.3-8", [ 3, 3, 8 ], 1183, 51,
"fixedresidueclasses for rcwa group and bound on modulus",
"X8777A62286597D53" ],
[ "\033[2XBall\033[102X for group, element and radius", "3.3-9",
[ 3, 3, 9 ], 1206, 52, "ball for group element and radius",
"X8735855587CC029F" ],
[ "\033[2XBall\033[102X for group, point, radius and action", "3.3-9",
[ 3, 3, 9 ], 1206, 52, "ball for group point radius and action",
"X8735855587CC029F" ],
[ "\033[2XBall\033[102X for group, point and radius", "3.3-9", [ 3, 3, 9 ],
1206, 52, "ball for group point and radius", "X8735855587CC029F" ],
[ "\033[10XRestrictedBall\033[110X G, g, r, modulusbound", "3.3-9",
[ 3, 3, 9 ], 1206, 52, "restrictedball g g r modulusbound",
"X8735855587CC029F" ],
[ "\033[2XRepresentativeAction\033[102X G, source, destination, action",
"3.3-10", [ 3, 3, 10 ], 1252, 53,
"representativeaction g source destination action", "X87A3462C82FD376E"
],
[
"\033[10XRepresentativeActionPreImage\033[110X G, source, destination, acti\
on, F", "3.3-10", [ 3, 3, 10 ], 1252, 53,
"representativeactionpreimage g source destination action f",
"X87A3462C82FD376E" ],
[
"\033[2XProjectionsToInvariantUnionsOfResidueClasses\033[102X for rcwa grou\
p and modulus", "3.3-11", [ 3, 3, 11 ], 1328, 54,
"projectionstoinvariantunionsofresidueclasses for rcwa group and modulus\
", "X8587246A7F890849" ],
[ "\033[10XOrbitsModulo\033[110X for an rcwa group and a modulus",
"3.3-11", [ 3, 3, 11 ], 1328, 54,
"orbitsmodulo for an rcwa group and a modulus", "X8587246A7F890849" ],
[ "\033[2XRepresentativeAction\033[102X for RCWA(R) and 2 partitions of R in\
to residue classes", "3.3-12", [ 3, 3, 12 ], 1354, 54,
"representativeaction for rcwa r and 2 partitions of r into residue clas\
ses", "X866843D08213067E" ],
[
"\033[2XCollatzLikeMappingByOrbitTree\033[102X for rcwa group, root point a\
nd range of radii", "3.3-13", [ 3, 3, 13 ], 1395, 55,
"collatzlikemappingbyorbittree for rcwa group root point and range of ra\
dii", "X82DBAF35788FA239" ],
[ "\033[2XRespectedPartition\033[102X of a tame rcwa group", "3.4-1",
[ 3, 4, 1 ], 1458, 56, "respectedpartition of a tame rcwa group",
"X7F523A6B87825AB8" ],
[ "\033[2XRespectedPartition\033[102X of a tame rcwa permutation", "3.4-1",
[ 3, 4, 1 ], 1458, 56, "respectedpartition of a tame rcwa permutation",
"X7F523A6B87825AB8" ],
[ "\033[10XRespectsPartition\033[110X for an rcwa group", "3.4-1",
[ 3, 4, 1 ], 1458, 56, "respectspartition for an rcwa group",
"X7F523A6B87825AB8" ],
[ "\033[10XRespectsPartition\033[110X for an rcwa permutation", "3.4-1",
[ 3, 4, 1 ], 1458, 56, "respectspartition for an rcwa permutation",
"X7F523A6B87825AB8" ],
[ "\033[10XPermutationOpNC\033[110X g, P, OnPoints", "3.4-1", [ 3, 4, 1 ],
1458, 56, "permutationopnc g p onpoints", "X7F523A6B87825AB8" ],
[ "\033[2XActionOnRespectedPartition\033[102X for a tame rcwa group",
"3.4-2", [ 3, 4, 2 ], 1492, 57,
"actiononrespectedpartition for a tame rcwa group", "X831ADC1584DE6113"
],
[ "\033[2XKernelOfActionOnRespectedPartition\033[102X for a tame rcwa group"
, "3.4-2", [ 3, 4, 2 ], 1492, 57,
"kernelofactiononrespectedpartition for a tame rcwa group",
"X831ADC1584DE6113" ],
[
"\033[2XRankOfKernelOfActionOnRespectedPartition\033[102X for a tame rcwa g\
roup", "3.4-2", [ 3, 4, 2 ], 1492, 57,
"rankofkernelofactiononrespectedpartition for a tame rcwa group",
"X831ADC1584DE6113" ],
[ "\033[10XIntegralConjugate\033[110X of a tame rcwa group", "3.4-2",
[ 3, 4, 2 ], 1492, 57, "integralconjugate of a tame rcwa group",
"X831ADC1584DE6113" ],
[ "\033[10XIntegralConjugate\033[110X of a tame rcwa permutation", "3.4-2",
[ 3, 4, 2 ], 1492, 57, "integralconjugate of a tame rcwa permutation",
"X831ADC1584DE6113" ],
[ "\033[10XIntegralizingConjugator\033[110X of a tame rcwa group", "3.4-2",
[ 3, 4, 2 ], 1492, 57, "integralizingconjugator of a tame rcwa group",
"X831ADC1584DE6113" ],
[ "\033[10XIntegralizingConjugator\033[110X of a tame rcwa permutation",
"3.4-2", [ 3, 4, 2 ], 1492, 57,
"integralizingconjugator of a tame rcwa permutation",
"X831ADC1584DE6113" ],
[ "\033[10XRandom\033[110X RCWA(R)", "3.5", [ 3, 5, 0 ], 1554, 58,
"random rcwa r", "X81941A247942FB99" ],
[ "\033[10XRandom\033[110X CT(R)", "3.5", [ 3, 5, 0 ], 1554, 58,
"random ct r", "X81941A247942FB99" ],
[ "\033[2XIsRcwaGroup\033[102X", "3.6-1", [ 3, 6, 1 ], 1605, 59,
"isrcwagroup", "X84AFBB997B694A3D" ],
[ "\033[2XIsRcwaGroupOverZ\033[102X", "3.6-1", [ 3, 6, 1 ], 1605, 59,
"isrcwagroupoverz", "X84AFBB997B694A3D" ],
[ "\033[2XIsRcwaGroupOverZ_pi\033[102X", "3.6-1", [ 3, 6, 1 ], 1605, 59,
"isrcwagroupoverz_pi", "X84AFBB997B694A3D" ],
[ "\033[2XIsRcwaGroupOverGFqx\033[102X", "3.6-1", [ 3, 6, 1 ], 1605, 59,
"isrcwagroupovergfqx", "X84AFBB997B694A3D" ],
[ "\033[10XIsRcwaGroupOverZOrZ_pi\033[110X", "3.6-1", [ 3, 6, 1 ], 1605,
59, "isrcwagroupoverzorz_pi", "X84AFBB997B694A3D" ],
--> --------------------
--> maximum size reached
--> --------------------
[ Dauer der Verarbeitung: 0.9 Sekunden
(vorverarbeitet)
]
|
2026-04-02
|
