Magma V2.19-8 Tue Aug 20 2013 16:18:53 on localhost [Seed = 71670130] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3044 geometric_solution 6.21861361 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 1 -1 0 0 0 1 -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 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 0.460580890537 0.167832609213 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 -1 1 0 0 1 -1 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 -1 1 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 0.622748200488 0.530589505698 1 4 3 5 0132 0132 3012 0132 0 0 0 0 0 0 1 -1 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 1 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.700780543104 1.376454910620 5 2 6 1 1023 1230 0132 0132 0 0 0 0 0 -1 0 1 1 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.700780543104 1.376454910620 6 2 5 6 2310 0132 1302 3201 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 1 -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 0 0 0 0 0.449975430386 1.036822849110 4 3 2 6 2031 1023 0132 3120 0 0 0 0 0 -1 1 0 -1 0 1 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 0 1 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 0.127476267515 0.933089615525 5 4 4 3 3120 2310 3201 0132 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 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 0.449975430386 1.036822849110 ==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' : d['1'], 's_2_1' : 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' : negation(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' : d['1'], 'c_1100_6' : negation(d['c_0011_1']), 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_3, c_0011_6, c_0101_0, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 8000333553439321/554195429428592*c_0101_6^17 + 171887030622052491/1108390858857184*c_0101_6^15 + 838823967765769205/1108390858857184*c_0101_6^13 - 10272797718266763179/1108390858857184*c_0101_6^11 - 50768367930711870099/1108390858857184*c_0101_6^9 + 2249073366011487307/138548857357148*c_0101_6^7 + 74837311958760920/34637214339287*c_0101_6^5 - 179326746107870195/277097714714296*c_0101_6^3 + 35535325939999999/277097714714296*c_0101_6, c_0011_0 - 1, c_0011_1 - 60500013786/4948173477041*c_0101_6^16 + 687700976233/4948173477041*c_0101_6^14 + 5552827692817/9896346954082*c_0101_6^12 - 163727250941061/19792693908164*c_0101_6^10 - 336630090122915/9896346954082*c_0101_6^8 + 777787165033573/19792693908164*c_0101_6^6 + 7226026037953/9896346954082*c_0101_6^4 - 10163733969593/9896346954082*c_0101_6^2 - 1792052607942/4948173477041, c_0011_3 + c_0101_6, c_0011_6 + 334017748951/9896346954082*c_0101_6^16 - 7371807772815/19792693908164*c_0101_6^14 - 16477023432619/9896346954082*c_0101_6^12 + 439471631358479/19792693908164*c_0101_6^10 + 997987706582727/9896346954082*c_0101_6^8 - 695701736620775/9896346954082*c_0101_6^6 + 2371665199536/4948173477041*c_0101_6^4 + 12616343540720/4948173477041*c_0101_6^2 - 2552249856398/4948173477041, c_0101_0 - 1144568319781/19792693908164*c_0101_6^16 + 24430581119151/39585387816328*c_0101_6^14 + 121820503908465/39585387816328*c_0101_6^12 - 1462207874689319/39585387816328*c_0101_6^10 - 7371247544517027/39585387816328*c_0101_6^8 + 530298324769687/9896346954082*c_0101_6^6 + 103634493136440/4948173477041*c_0101_6^4 - 14388874591143/9896346954082*c_0101_6^2 + 2624587952589/9896346954082, c_0101_3 + 1376982148401/9896346954082*c_0101_6^17 - 29270784865203/19792693908164*c_0101_6^15 - 147645083525457/19792693908164*c_0101_6^13 + 1750585120813093/19792693908164*c_0101_6^11 + 8934370762026859/19792693908164*c_0101_6^9 - 1018484182667977/9896346954082*c_0101_6^7 - 115275900060864/4948173477041*c_0101_6^5 - 24121146566375/4948173477041*c_0101_6^3 - 7090511735224/4948173477041*c_0101_6, c_0101_6^18 - 21/2*c_0101_6^16 - 55*c_0101_6^14 + 629*c_0101_6^12 + 3327*c_0101_6^10 - 673/2*c_0101_6^8 - 327*c_0101_6^6 - 12*c_0101_6^4 - 6*c_0101_6^2 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB