Magma V2.19-8 Tue Aug 20 2013 23:38:18 on localhost [Seed = 3415060453] Type ? for help. Type -D to quit. Loading file "K13n1427__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1427 geometric_solution 8.79716494 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 -14 0 0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.730070134171 0.860386325966 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.183974807710 0.769088430455 8 0 7 3 0132 0132 3120 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.874442369368 0.712847897356 6 4 2 0 0132 1302 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.679760841863 0.538317700506 9 5 0 3 0132 3201 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.150637305182 0.559939320159 7 1 4 6 1023 0132 2310 2031 0 0 0 0 0 0 0 0 0 0 1 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 -14 14 -15 14 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.014411479879 1.736082739020 3 5 1 9 0132 1302 0132 2031 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -14 -1 15 -1 0 0 1 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.929351100398 0.653214472951 8 5 2 1 1023 1023 3120 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.295009540379 0.412400891549 2 7 9 9 0132 1023 0321 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 15 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.730070134171 0.860386325966 4 6 8 8 0132 1302 0321 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 -15 0 15 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.730070134171 0.860386325966 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_8']), 'c_1001_2' : negation(d['c_0101_5']), 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : negation(d['c_0101_3']), 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_3']), 'c_1100_8' : d['c_0101_3'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0101_3'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0101_5']), 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : d['c_0101_1'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_8']), 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_8']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5, c_0101_8, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 730660713707/39682885104*c_1001_0^10 - 2976102737507/39682885104*c_1001_0^9 - 583925336354/2480180319*c_1001_0^8 - 9261736938095/9920721276*c_1001_0^7 - 10384766261971/6613814184*c_1001_0^6 - 105681334431343/39682885104*c_1001_0^5 - 108746232886631/39682885104*c_1001_0^4 - 6700781301389/2480180319*c_1001_0^3 - 50443808529689/39682885104*c_1001_0^2 - 26010166155599/39682885104*c_1001_0 - 335616378637/39682885104, c_0011_0 - 1, c_0011_3 - 43335970/275575591*c_1001_0^10 + 153234121/275575591*c_1001_0^9 + 660009367/275575591*c_1001_0^8 + 2455543078/275575591*c_1001_0^7 + 4707226914/275575591*c_1001_0^6 + 7628036145/275575591*c_1001_0^5 + 8700072515/275575591*c_1001_0^4 + 8118924013/275575591*c_1001_0^3 + 4648311334/275575591*c_1001_0^2 + 1821452474/275575591*c_1001_0 + 232395314/275575591, c_0011_4 - 1, c_0101_0 + 15314434/275575591*c_1001_0^10 - 86320441/275575591*c_1001_0^9 - 81209614/275575591*c_1001_0^8 - 526953917/275575591*c_1001_0^7 - 392376986/275575591*c_1001_0^6 - 1084677245/275575591*c_1001_0^5 - 554927496/275575591*c_1001_0^4 - 1012871878/275575591*c_1001_0^3 - 15344739/275575591*c_1001_0^2 - 681311165/275575591*c_1001_0 + 37475085/275575591, c_0101_1 - 31762522/275575591*c_1001_0^10 + 149224607/275575591*c_1001_0^9 + 317026852/275575591*c_1001_0^8 + 1393449629/275575591*c_1001_0^7 + 1802417400/275575591*c_1001_0^6 + 3232213383/275575591*c_1001_0^5 + 2376943918/275575591*c_1001_0^4 + 2434941465/275575591*c_1001_0^3 + 153838058/275575591*c_1001_0^2 + 406450209/275575591*c_1001_0 - 155928190/275575591, c_0101_2 - 31762522/275575591*c_1001_0^10 + 149224607/275575591*c_1001_0^9 + 317026852/275575591*c_1001_0^8 + 1393449629/275575591*c_1001_0^7 + 1802417400/275575591*c_1001_0^6 + 3232213383/275575591*c_1001_0^5 + 2376943918/275575591*c_1001_0^4 + 2434941465/275575591*c_1001_0^3 + 153838058/275575591*c_1001_0^2 + 406450209/275575591*c_1001_0 - 155928190/275575591, c_0101_3 + 18067136/275575591*c_1001_0^10 - 70904585/275575591*c_1001_0^9 - 256759358/275575591*c_1001_0^8 - 880407790/275575591*c_1001_0^7 - 1530034433/275575591*c_1001_0^6 - 2206825746/275575591*c_1001_0^5 - 2261955156/275575591*c_1001_0^4 - 1586356938/275575591*c_1001_0^3 - 493676808/275575591*c_1001_0^2 + 83330669/275575591*c_1001_0 - 2813818/275575591, c_0101_5 + 19185728/275575591*c_1001_0^10 - 89241238/275575591*c_1001_0^9 - 200576692/275575591*c_1001_0^8 - 816821786/275575591*c_1001_0^7 - 1137124835/275575591*c_1001_0^6 - 1865175099/275575591*c_1001_0^5 - 1666760895/275575591*c_1001_0^4 - 1551436409/275575591*c_1001_0^3 - 492361662/275575591*c_1001_0^2 - 340692999/275575591*c_1001_0 + 148180799/275575591, c_0101_8 + 11646132/275575591*c_1001_0^10 - 38397424/275575591*c_1001_0^9 - 182830620/275575591*c_1001_0^8 - 727647084/275575591*c_1001_0^7 - 1434050331/275575591*c_1001_0^6 - 2536431646/275575591*c_1001_0^5 - 3049145827/275575591*c_1001_0^4 - 3142687766/275575591*c_1001_0^3 - 2078507290/275575591*c_1001_0^2 - 883988911/275575591*c_1001_0 - 146616079/275575591, c_1001_0^11 - 4*c_1001_0^10 - 13*c_1001_0^9 - 52*c_1001_0^8 - 90*c_1001_0^7 - 155*c_1001_0^6 - 166*c_1001_0^5 - 169*c_1001_0^4 - 91*c_1001_0^3 - 52*c_1001_0^2 - 8*c_1001_0 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB