Magma V2.19-8 Tue Aug 20 2013 16:18:34 on localhost [Seed = 3246415091] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2758 geometric_solution 5.99595282 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 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 0.823746097420 0.418921337495 0 3 0 4 0132 0132 1023 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 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 1.035485657844 0.490509927166 5 0 4 0 0132 0132 2310 1023 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 -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 0 0 0 1.035485657844 0.490509927166 6 1 5 4 0132 0132 2031 1230 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 -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 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750647678189 0.890979785763 3 2 1 5 3012 3201 0132 3012 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 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 1.056598311051 0.434443602291 2 6 4 3 0132 2310 1230 1302 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 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 0 0 0 0.750647678189 0.890979785763 3 6 6 5 0132 3201 2310 3201 0 0 0 0 0 -1 1 0 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 1 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.017531856854 0.779065415014 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(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_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], '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_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0101_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 3006336123499943/282053553514246*c_0101_5^12 + 3111343927351337/9098501726266*c_0101_5^11 + 278713838010505247/141026776757123*c_0101_5^10 + 605996052207908764/141026776757123*c_0101_5^9 + 947963656599352113/282053553514246*c_0101_5^8 - 1054789236645935343/282053553514246*c_0101_5^7 - 3497077872097520619/282053553514246*c_0101_5^6 - 2009739440863618058/141026776757123*c_0101_5^5 - 1201522238941131379/141026776757123*c_0101_5^4 - 664669148960164111/282053553514246*c_0101_5^3 + 13191042368169579/282053553514246*c_0101_5^2 + 25399688023779725/141026776757123*c_0101_5 + 6429690668161809/282053553514246, c_0011_0 - 1, c_0011_4 + 6185599563/146750027843*c_0101_5^12 - 179730319058/146750027843*c_0101_5^11 - 1760096734120/146750027843*c_0101_5^10 - 5561371859029/146750027843*c_0101_5^9 - 7185674563063/146750027843*c_0101_5^8 + 977763586983/146750027843*c_0101_5^7 + 16423018628953/146750027843*c_0101_5^6 + 23920670404945/146750027843*c_0101_5^5 + 15667773705899/146750027843*c_0101_5^4 + 3542786586998/146750027843*c_0101_5^3 - 539780838728/146750027843*c_0101_5^2 + 66199624259/146750027843*c_0101_5 + 112641958018/146750027843, c_0101_0 + c_0101_5, c_0101_1 + 189684626358/146750027843*c_0101_5^12 - 6119765091707/146750027843*c_0101_5^11 - 34095066954427/146750027843*c_0101_5^10 - 69485374707157/146750027843*c_0101_5^9 - 42812177108030/146750027843*c_0101_5^8 + 82590607214456/146750027843*c_0101_5^7 + 209398954754676/146750027843*c_0101_5^6 + 203775156735944/146750027843*c_0101_5^5 + 89865641635612/146750027843*c_0101_5^4 + 4587831619712/146750027843*c_0101_5^3 - 9154435583813/146750027843*c_0101_5^2 - 1453039003281/146750027843*c_0101_5 + 517569902351/146750027843, c_0101_2 - 141952399798/146750027843*c_0101_5^12 + 4625785844226/146750027843*c_0101_5^11 + 23997502483235/146750027843*c_0101_5^10 + 44853715768169/146750027843*c_0101_5^9 + 20310162333216/146750027843*c_0101_5^8 - 64401482232100/146750027843*c_0101_5^7 - 136337428117097/146750027843*c_0101_5^6 - 117433555368215/146750027843*c_0101_5^5 - 41489106905110/146750027843*c_0101_5^4 + 4002000902990/146750027843*c_0101_5^3 + 6455186976806/146750027843*c_0101_5^2 + 586100067500/146750027843*c_0101_5 - 319594713778/146750027843, c_0101_3 - 125001281623/146750027843*c_0101_5^12 + 3995670812915/146750027843*c_0101_5^11 + 23670601700230/146750027843*c_0101_5^10 + 52448878474654/146750027843*c_0101_5^9 + 41551644346895/146750027843*c_0101_5^8 - 46552405039138/146750027843*c_0101_5^7 - 154120344524971/146750027843*c_0101_5^6 - 173931503032293/146750027843*c_0101_5^5 - 97380531564065/146750027843*c_0101_5^4 - 20387608274298/146750027843*c_0101_5^3 + 3726031592287/146750027843*c_0101_5^2 + 1565752979223/146750027843*c_0101_5 - 283076464685/146750027843, c_0101_5^13 - 32*c_0101_5^12 - 188*c_0101_5^11 - 421*c_0101_5^10 - 358*c_0101_5^9 + 315*c_0101_5^8 + 1201*c_0101_5^7 + 1465*c_0101_5^6 + 939*c_0101_5^5 + 290*c_0101_5^4 + 3*c_0101_5^3 - 21*c_0101_5^2 - 2*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB