Spracherkennung für: .gi vermutete Sprache: Unknown {[0] [0] [0]} [Methode: Schwerpunktbildung, einfache Gewichte, sechs Dimensionen]
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##
#F ParPres-2-2.gi The SymbCompCC package Dörte Feichtenschlager
##
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##
## define the infinite coclass families in G(2,1)
##
###############################################################################
##
## define global variables
##
BindGlobal( "One1_PPGV22", Int2PPowerPoly( 2 , 1 ) );
BindGlobal( "Zero0_PPGV22", Int2PPowerPoly( 2 , 0 ) );
BindGlobal( "TwoXP1_PPGV22", [ 2, [0,2], true, [1,1] ] );
BindGlobal( "TwoXP2_PPGV22", [ 2, [0,4], true, [1,2] ] );
BindGlobal( "TwoXP3_PPGV22", [ 2, [0,8], true, [1,3] ] );
BindGlobal( "TwoXP4_PPGV22", [ 2, [0,16], true, [1,4] ] );
BindGlobal( "TwoXP5_PPGV22", [ 2, [0,32], true, [1,5] ] );
BindGlobal( "TwoXP6_PPGV22", [ 2, [0,64], true, [1,6] ] );
BindGlobal( "TwoX_PPGV22", [ 2, [0,1], true, [1,0] ] );
BindGlobal( "ParPresGlobalVar_2_2_Names", [
"G22_1",
"G22_2",
"G22_3",
"G22_4",
"G22_5",
"G22_6",
"G22_7",
"G22_8",
"G22_9",
"G22_10",
"G22_11",
"G22_12",
"G22_13",
"G22_14",
"G22_15",
"G22_16",
"G22_17",
"G22_18",
"G22_19",
"G22_20",
"G22_21",
"G22_22",
"G22_23",
"G22_24",
"G22_25",
"G22_26",
"G22_27",
"G22_28",
"G22_29",
"G22_30",
"G22_31",
"G22_32",
"G22_33",
"G22_34",
"G22_35",
"G22_36",
"G22_37",
"G22_38",
"G22_39",
"G22_40",
"G22_41",
"G22_42",
"G22_43",
"G22_44",
"G22_45",
"G22_46",
"G22_47",
"G22_48",
"G22_49",
"G22_50",
"G22_51"
] );
###############################################################################
##
## relations and exponents
##
BindGlobal( "ParPresGlobalVar_2_2", [
rec( rel := [[[[2,1]]],[[[2,1]],[[2,0]]],[[[3,1],[4,One1_PPGV22],[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]],[[3,1],[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]],[[5,One1_PPGV22]]], [[[4,One1_PPGV22],[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]],[[4,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]],[[4,One1_PPGV22]], [[4,Zero0_PPGV22]]], [[[4,PPP_Add(One1_PPGV22,One1_PPGV22)],[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]],[[5,One1_PPGV22]],[[5,One1_PPGV22]], [[5,Zero0_PPGV22]]] ],
expo := TwoXP2_PPGV22,
n := 3,
d := 2,
m := 0,
prime := 2,
cc := 2,
expo_vec := [],
name := "G22_1" ),
rec( rel := [[[[4,1]]],[[[2,1],[3,1]],[[2,0]]],[[[3,1],[5,1]],[[3,1],[6,One1_PPGV22],[7,One1_PPGV22]],[[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)],[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]]], [[[4,1]],[[4,1],[5,1],[7,One1_PPGV22]],[[4,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)],[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,TwoX_PPGV22]]], [[[5,1],[7,One1_PPGV22]], [[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[5,1]], [[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]]], [[[6,One1_PPGV22],[7,PPP_Add(One1_PPGV22,One1_PPGV22)]],[[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6, One1_PPGV22]], [[6, Zero0_PPGV22]]], [[[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)],[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,One1_PPGV22]], [[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,One1_PPGV22]],[[7,One1_PPGV22]],[[7,Zero0_PPGV22]] ] ],
expo := TwoXP1_PPGV22,
n := 5,
d := 2,
m := 0,
prime := 2,
cc := 2,
expo_vec := [],
name := "G22_2" ),
rec( rel := [[[[4,1]]],[[[2,1],[3,1]],[[6,TwoX_PPGV22]]],[[[3,1],[5,1]],[[3,1],[6,One1_PPGV22],[7,One1_PPGV22]],[[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)],[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]]], [[[4,1]],[[4,1],[5,1],[7,One1_PPGV22]],[[4,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)],[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,TwoX_PPGV22]]], [[[5,1],[7,One1_PPGV22]], [[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[5,1]], [[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]]], [[[6,One1_PPGV22],[7,PPP_Add(One1_PPGV22,One1_PPGV22)]],[[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6, One1_PPGV22]], [[6, Zero0_PPGV22]]], [[[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)],[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,One1_PPGV22]], [[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,One1_PPGV22]], [[7,One1_PPGV22]], [[7,Zero0_PPGV22]] ] ],
expo := TwoXP1_PPGV22,
n := 5,
d := 2,
m := 0,
prime := 2,
cc := 2,
expo_vec := [],
name := "G22_3" ),
rec( rel := [[[[4,1]]],[[[2,1],[3,1]],[[2,0]]],[[[3,1],[5,1]],[[3,1],[6,PPP_Add(TwoX_PPGV22,One1_PPGV22)],[7,One1_PPGV22]],[[6,PPP_Subtract(TwoX_PPGV22,One1_PPGV22)],[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]]], [[[4,1]],[[4,1],[5,1],[6,TwoX_PPGV22],[7,One1_PPGV22]],[[4,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)],[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[4,0]]], [[[5,1],[7,One1_PPGV22]], [[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[5,1]], [[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]]], [[[6,One1_PPGV22],[7,PPP_Add(One1_PPGV22,One1_PPGV22)]],[[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6, One1_PPGV22]], [[6, Zero0_PPGV22]]], [[[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)],[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,One1_PPGV22]], [[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,One1_PPGV22]],[[7,One1_PPGV22]],[[7,Zero0_PPGV22]] ] ],
expo := TwoXP1_PPGV22,
n := 5,
d := 2,
m := 0,
prime := 2,
cc := 2,
expo_vec := [],
name := "G22_4" ),
rec( rel := [[[[4,1]]],[[[2,1],[3,1]],[[6,TwoX_PPGV22]]],[[[3,1],[5,1]],[[3,1],[6,PPP_Add(TwoX_PPGV22,One1_PPGV22)],[7,One1_PPGV22]],[[6,PPP_Subtract(TwoX_PPGV22,One1_PPGV22)],[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]]], [[[4,1]],[[4,1],[5,1],[6,TwoX_PPGV22],[7,One1_PPGV22]],[[4,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)],[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[4,0]]], [[[5,1],[7,One1_PPGV22]], [[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[5,1]], [[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]]], [[[6,One1_PPGV22],[7,PPP_Add(One1_PPGV22,One1_PPGV22)]],[[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6, One1_PPGV22]], [[6, Zero0_PPGV22]]], [[[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)],[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,One1_PPGV22]], [[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,One1_PPGV22]],[[7,One1_PPGV22]],[[7,Zero0_PPGV22]] ] ],
expo := TwoXP1_PPGV22,
n := 5,
d := 2,
m := 0,
prime := 2,
cc := 2,
expo_vec := [],
name := "G22_5" ),
rec( rel := [[[[4,1]]],[[[2,1],[3,1]],[[6,TwoX_PPGV22]]],[[[3,1],[5,1]],[[3,1],[6,One1_PPGV22],[7,One1_PPGV22]],[[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)],[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]]], [[[4,1]],[[4,1],[5,1],[7,One1_PPGV22]],[[4,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)],[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[4,0]]], [[[5,1],[7,One1_PPGV22]], [[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[5,1]], [[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]]], [[[6,One1_PPGV22],[7,PPP_Add(One1_PPGV22,One1_PPGV22)]],[[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6, One1_PPGV22]], [[6, Zero0_PPGV22]]], [[[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)],[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,One1_PPGV22]], [[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7, One1_PPGV22]], [[7,One1_PPGV22]], [[7,Zero0_PPGV22]] ] ],
expo := TwoXP1_PPGV22,
n := 5,
d := 2,
m := 0,
prime := 2,
cc := 2,
expo_vec := [],
name := "G22_6" ),
rec( rel := [[[[4,1]]],[[[2,1],[3,1]],[[7,TwoX_PPGV22]]],[[[3,1],[5,1]],[[3,1],[6,One1_PPGV22],[7,One1_PPGV22]], [[6,PPP_Subtract(TwoX_PPGV22,One1_PPGV22)],[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]]], [[[4,1]],[[4,1],[5,1],[6,TwoX_PPGV22],[7,One1_PPGV22]],[[4,1], [6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)], [7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[4,0]]], [[[5,1],[7,One1_PPGV22]], [[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[5,1]], [[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]]], [[[6,One1_PPGV22], [7,PPP_Add(One1_PPGV22,One1_PPGV22)]], [[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,Zero0_PPGV22]]], [[[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)],[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7, One1_PPGV22]], [[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,One1_PPGV22]], [[7,One1_PPGV22]], [[7,Zero0_PPGV22]]] ],
expo := TwoXP1_PPGV22,
n := 5,
d := 2,
m := 0,
prime := 2,
cc := 2,
expo_vec := [],
name := "G22_7" ),
rec( rel := [[[[4,1]]],[[[2,1],[3,1]],[[7,TwoX_PPGV22]]],[[[3,1],[5,1]],[[3,1],[6,PPP_Add(TwoX_PPGV22,One1_PPGV22)],[7,One1_PPGV22]], [[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)],[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]]], [[[4,1]],[[4,1],[5,1],[7,One1_PPGV22]],[[4,1], [6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)], [7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[4,0]]], [[[5,1],[7,One1_PPGV22]], [[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[5,1]], [[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]]], [[[6,One1_PPGV22], [7,PPP_Add(One1_PPGV22,One1_PPGV22)]], [[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,Zero0_PPGV22]]], [[[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)],[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7, One1_PPGV22]], [[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,One1_PPGV22]], [[7,One1_PPGV22]], [[7,Zero0_PPGV22]]] ],
expo := TwoXP1_PPGV22,
n := 5,
d := 2,
m := 0,
prime := 2,
cc := 2,
expo_vec := [],
name := "G22_8" ),
rec( rel := [[[[4,1]]],[[[2,1],[3,1]],[[7,TwoX_PPGV22]]],[[[3,1],[5,1]],[[3,1],[6,PPP_Add(TwoX_PPGV22,One1_PPGV22)],[7,One1_PPGV22]], [[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)],[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]]], [[[4,1]],[[4,1],[5,1],[7,One1_PPGV22]],[[4,1], [6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)], [7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,TwoX_PPGV22]]], [[[5,1],[7,One1_PPGV22]], [[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[5,1]], [[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]]], [[[6,One1_PPGV22], [7,PPP_Add(One1_PPGV22,One1_PPGV22)]], [[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,Zero0_PPGV22]]], [[[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)],[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7, One1_PPGV22]], [[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,One1_PPGV22]], [[7,One1_PPGV22]], [[7,Zero0_PPGV22]]] ],
expo := TwoXP1_PPGV22,
n := 5,
d := 2,
m := 0,
prime := 2,
cc := 2,
expo_vec := [],
name := "G22_9" ),
rec( rel := [[[[2,1]]],[[[2,1]],[[2,0]]],[[[4,PPP_Subtract(TwoXP3_PPGV22,One1_PPGV22)]],[[3,PPP_Subtract(TwoXP3_PPGV22,One1_PPGV22)]],[[3,Zero0_PPGV22]]], [[[3,One1_PPGV22]],[[4,PPP_Subtract(TwoXP3_PPGV22,One1_PPGV22)]],[[4,One1_PPGV22]],[[4,Zero0_PPGV22]]]],
expo := TwoXP3_PPGV22,
n := 2,
d := 2,
m := 0,
prime := 2,
cc := 2,
expo_vec := [],
name := "G22_10" ),
rec( rel := [[[[4,1]]],[[[2,1],[3,1]],[[2,0]]],[[[3,1],[5,One1_PPGV22]],[[3,1],[5,PPP_Add(One1_PPGV22,One1_PPGV22)],[6,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]]], [[[4,1]],[[4,1],[5,One1_PPGV22],[6,One1_PPGV22]],[[4,1], [5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,TwoXP1_PPGV22]]], [[[5,One1_PPGV22],[6,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[5,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[5,Zero0_PPGV22]]], [[[5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,Zero0_PPGV22]]] ],
expo := TwoXP2_PPGV22,
n := 4,
d := 2,
m := 0,
prime := 2,
cc := 2,
expo_vec := [],
name := "G22_11" ),
rec( rel := [[[[4,1]]],[[[2,1],[3,1]],[[6,TwoXP1_PPGV22]]],[[[3,1],[5,One1_PPGV22]],[[3,1],[5,PPP_Add(One1_PPGV22,One1_PPGV22)],[6,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]]], [[[4,1]],[[4,1],[5,One1_PPGV22],[6,One1_PPGV22]],[[4,1], [5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,TwoXP1_PPGV22]]], [[[5,One1_PPGV22],[6,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[5,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[5,Zero0_PPGV22]]], [[[5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,Zero0_PPGV22]]] ] ,
expo := TwoXP2_PPGV22,
n := 4,
d := 2,
m := 0,
prime := 2,
cc := 2,
expo_vec := [],
name := "G22_12" ),
rec( rel := [[[[4,1]]],[[[2,1],[3,1]],[[2,0]]],[[[3,1],[5,One1_PPGV22]],[[3,1],[5,PPP_Add(One1_PPGV22,One1_PPGV22)],[6,PPP_Add(TwoXP1_PPGV22,One1_PPGV22)]], [[5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]]], [[[4,1]],[[4,1],[5,One1_PPGV22],[6,PPP_Add(TwoXP1_PPGV22,One1_PPGV22)]],[[4,1], [5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[4,0]]], [[[5,One1_PPGV22],[6,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[5,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[5,Zero0_PPGV22]]], [[[5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,Zero0_PPGV22]]] ],
expo := TwoXP2_PPGV22,
n := 4,
d := 2,
m := 0,
prime := 2,
cc := 2,
expo_vec := [],
name := "G22_13" ),
rec( rel := [[[[4,1]]],[[[2,1],[3,1]],[[6,TwoXP1_PPGV22]]],[[[3,1],[5,One1_PPGV22]],[[3,1],[5,PPP_Add(One1_PPGV22,One1_PPGV22)],[6,PPP_Add(TwoXP1_PPGV22,One1_PPGV22)]], [[5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]]], [[[4,1]],[[4,1],[5,One1_PPGV22],[6,PPP_Add(TwoXP1_PPGV22,One1_PPGV22)]],[[4,1], [5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[4,0]]], [[[5,One1_PPGV22],[6,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[5,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[5,Zero0_PPGV22]]], [[[5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,Zero0_PPGV22]]] ],
expo := TwoXP2_PPGV22,
n := 4,
d := 2,
m := 0,
prime := 2,
cc := 2,
expo_vec := [],
name := "G22_14" ),
rec( rel := [[[[4,1]]],[[[2,1],[3,1]],[[6,TwoXP1_PPGV22]]],[[[3,1],[5,One1_PPGV22]],[[3,1],[5,PPP_Add(One1_PPGV22,One1_PPGV22)],[6,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]]],[[[4,1]],[[4,1],[5,One1_PPGV22],[6,One1_PPGV22]],[[4,1],[5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))],[6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[4,0]]], [[[5,One1_PPGV22],[6,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[5,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[5,Zero0_PPGV22]]], [[[5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]] ,[[6,Zero0_PPGV22]] ] ],
expo := TwoXP2_PPGV22,
n := 4,
d := 2,
m := 0,
prime := 2,
cc := 2,
expo_vec:= [],
name := "G22_15" ),
rec( rel := [[[[4,1]]],[[[2,1],[3,1]],[[5,TwoXP1_PPGV22]]],[[[3,1],[5,One1_PPGV22]],[[3,1],[5,PPP_Add(One1_PPGV22,One1_PPGV22)],[6,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]]], [[[4,1]],[[4,1],[5,One1_PPGV22],[6,PPP_Add(TwoXP1_PPGV22,One1_PPGV22)]],[[4,1], [5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,TwoXP1_PPGV22]]], [[[5,One1_PPGV22],[6,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[5,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[5,Zero0_PPGV22]]], [[[5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,Zero0_PPGV22]]] ],
expo := TwoXP2_PPGV22,
n := 4,
d := 2,
m := 0,
prime := 2,
cc := 2,
expo_vec := [],
name := "G22_16" ),
rec( rel := [[[[4,1]]],[[[2,1],[3,1]],[[5,TwoXP1_PPGV22]]],[[[3,1],[5,One1_PPGV22]],[[3,1], [5,PPP_Add(One1_PPGV22,One1_PPGV22)], [6,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]]], [[[4,1]],[[4,1],[5,One1_PPGV22],[6,PPP_Add(TwoXP1_PPGV22,One1_PPGV22)]],[[4,1], [5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[4,0]]], [[[5,One1_PPGV22],[6,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[5,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[5,Zero0_PPGV22]]], [[[5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,Zero0_PPGV22]]] ],
expo := TwoXP2_PPGV22,
n := 4,
d := 2,
m := 0,
prime := 2,
cc := 2,
expo_vec := [],
name := "G22_17" ),
rec( rel := [[[[4,1]]],[[[2,1],[3,1]],[[5,TwoXP1_PPGV22]]],[[[3,1],[5,One1_PPGV22]],[[3,1], [5,PPP_Add(One1_PPGV22,One1_PPGV22)], [6,PPP_Add(TwoXP1_PPGV22,One1_PPGV22)]], [[5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]]], [[[4,1]],[[4,1],[5,One1_PPGV22],[6,One1_PPGV22]],[[4,1], [5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[4,0]]], [[[5,One1_PPGV22],[6,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[5,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[5,Zero0_PPGV22]]], [[[5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,Zero0_PPGV22]]] ],
expo := TwoXP2_PPGV22,
n := 4,
d := 2,
m := 0,
prime := 2,
cc := 2,
expo_vec := [],
name := "G22_18" ),
rec( rel := [[[[4,1]]],[[[2,1],[3,1]],[[5,TwoXP1_PPGV22]]],[[[3,1],[5,One1_PPGV22]],[[3,1], [5,PPP_Add(One1_PPGV22,One1_PPGV22)], [6,PPP_Add(TwoXP1_PPGV22,One1_PPGV22)]], [[5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]]], [[[4,1]],[[4,1],[5,One1_PPGV22],[6,One1_PPGV22]],[[4,1], [5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,TwoXP1_PPGV22]]], [[[5,One1_PPGV22],[6,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[5,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[5,Zero0_PPGV22]]], [[[5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,Zero0_PPGV22]]] ],
expo := TwoXP2_PPGV22,
n := 4,
d := 2,
m := 0,
prime := 2,
cc := 2,
expo_vec := [],
name := "G22_19" ),
rec( rel := [[[[1,0]]],[[[3,1]],[[5,One1_PPGV22]]],[[[2,1]],[[3,1],[4,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)],[5,One1_PPGV22]], [[4,One1_PPGV22]]], [[[5,One1_PPGV22]],[[4,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]],[[4,One1_PPGV22]], [[4,Zero0_PPGV22]]], [[[4,One1_PPGV22]], [[5,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[5,One1_PPGV22]], [[5,Zero0_PPGV22]]] ],
expo := TwoXP2_PPGV22,
n := 3,
d := 2,
m := 0,
prime := 2,
cc := 2,
expo_vec := [],
name := "G22_20" ),
rec( rel := [[[[4,1]]],[[[2,1],[3,1]],[[2,0]]],[[[3,1],[5,1]],[[3,1]], [[3,0]]], [[[4,1]],[[4,1],[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]],[[4,1], [6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)], [7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,TwoX_PPGV22]]], [[[5,1],[7,One1_PPGV22]], [[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]]], [[[6,One1_PPGV22], [7,PPP_Add(One1_PPGV22,One1_PPGV22)]], [[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,Zero0_PPGV22]]], [[[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)],[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22],[7,One1_PPGV22]], [[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,One1_PPGV22]], [[7,One1_PPGV22]], [[7,Zero0_PPGV22]]] ],
expo := TwoXP1_PPGV22,
n := 5,
d := 2,
m := 0,
prime := 2,
cc := 2,
expo_vec := [],
name := "G22_21" ),
rec( rel := [[[[4,1]]],[[[2,1],[3,1]],[[2,0]]],[[[3,1],[5,1]],[[3,1],[6,TwoX_PPGV22]], [[6,TwoX_PPGV22]]], [[[4,1]],[[4,1],[5,1],[6,PPP_Subtract(TwoX_PPGV22,One1_PPGV22)]],[[4,1], [6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)], [7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,TwoX_PPGV22]]], [[[5,1],[7,One1_PPGV22]], [[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]]], [[[6,One1_PPGV22], [7,PPP_Add(One1_PPGV22,One1_PPGV22)]], [[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,Zero0_PPGV22]]], [[[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)],[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22],[7,One1_PPGV22]], [[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,One1_PPGV22]], [[7,One1_PPGV22]], [[7,Zero0_PPGV22]]] ],
expo := TwoXP1_PPGV22,
n := 5,
d := 2,
m := 0,
prime := 2,
cc := 2,
expo_vec:= [],
name := "G22_22" ),
rec( rel := [[[[4,1]]],[[[2,1],[3,1]],[[2,0]]],[[[3,1],[5,1]],[[3,1],[6,TwoX_PPGV22]], [[6,TwoX_PPGV22]]], [[[4,1]],[[4,1],[5,1],[6,PPP_Subtract(TwoX_PPGV22,One1_PPGV22)]],[[4,1], [6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)], [7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[4,0]]], [[[5,1],[7,One1_PPGV22]], [[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[5,1],[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]]], [[[6,One1_PPGV22], [7,PPP_Add(One1_PPGV22,One1_PPGV22)]], [[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,Zero0_PPGV22]]], [[[6,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)],[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22],[7,One1_PPGV22]], [[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,PPP_Subtract(TwoXP1_PPGV22,One1_PPGV22)]], [[7,One1_PPGV22]], [[7,One1_PPGV22]], [[7,Zero0_PPGV22]]] ],
expo := TwoXP1_PPGV22,
n := 5,
d := 2,
m := 0,
prime := 2,
cc := 2,
expo_vec := [],
name := "G22_23" ),
rec( rel := [[[[1,0]]],[[[3,1]],[[4,1]]],[[[2,1]],[[3,1], [5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)], [6,One1_PPGV22]], [[4,1],[5,One1_PPGV22],[6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]]], [[[4,1],[5,One1_PPGV22],[6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]],[[4,1]],[[4,1], [6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]]], [[[5,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)],[6,One1_PPGV22]], [[5,One1_PPGV22],[6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[5,One1_PPGV22]], [[5,Zero0_PPGV22]]], [[[5,PPP_Add(One1_PPGV22,One1_PPGV22)],[6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[6,One1_PPGV22]], [[6,One1_PPGV22]], [[6,Zero0_PPGV22]]] ],
expo := TwoXP2_PPGV22,
n := 4,
d := 2,
m := 0,
prime := 2,
cc := 2,
expo_vec := [],
name := "G22_24" ),
rec( rel := [[[[4,1]]],[[[2,1],[3,1]],[[6,TwoXP1_PPGV22]]],[[[3,1],[5,One1_PPGV22]],[[3,1]], [[3,0]]], [[[4,1]],[[4,1],[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]],[[4,1], [5,PPP_Subtract(TwoXP2_PPGV22,PPP_Add(One1_PPGV22,One1_PPGV22))], [6,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[4,0]]], [[[5,One1_PPGV22],[6,One1_PPGV22]], [[5,PPP_Subtract(TwoXP2_PPGV22,One1_PPGV22)]], [[5,PPP_Subtract(TwoXP2_PPGV22,One1_PP