Magma V2.19-8 Tue Aug 20 2013 16:16:44 on localhost [Seed = 1848636067] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1020 geometric_solution 4.90282577 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 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 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 -1.948316028057 0.186479746824 0 4 3 5 0132 0321 0321 0132 0 0 0 0 0 0 0 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 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 0.435371088310 0.827705465644 4 0 3 3 0321 0132 1302 2031 0 0 0 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 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 0.245920267860 0.446717744598 2 2 1 0 2031 1302 0321 0132 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 1 0 -1 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 0.245920267860 0.446717744598 2 5 0 1 0321 1023 0132 0321 0 0 0 0 0 1 -1 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 -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 0.435371088310 0.827705465644 4 6 1 6 1023 0132 0132 2310 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 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 0.762362209176 0.307375842892 5 5 6 6 3201 0132 1230 3012 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 0.552769381175 0.150082236792 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_1_1' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0110_6'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_1001_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0101_6']), 'c_1010_0' : 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_3, c_0011_4, c_0101_0, c_0101_6, c_0110_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 521015211366004946844367/101233192561742460946138*c_0110_6^18 - 28118351470433192183531927/50616596280871230473069*c_0110_6^16 + 229552808098713782131059758/50616596280871230473069*c_0110_6^14 - 3756199798278899848623028903/202466385123484921892276*c_0110_6^12 + 20878191194446118747873846825/404932770246969843784552*c_0110_6^10 - 34191979283277616698787374233/404932770246969843784552*c_0110_6^8 + 23875177317145999116427477465/404932770246969843784552*c_0110_6^6 - 925799419923152038915376343/202466385123484921892276*c_0110_6^4 + 265434172457523135733725157/404932770246969843784552*c_0110_6^2 - 9588230055585116578556967/404932770246969843784552, c_0011_0 - 1, c_0011_3 - 12540980034242959737864/50616596280871230473069*c_0110_6^18 + 1353624075850804951353540/50616596280871230473069*c_0110_6^16 - 11049837438970623193605436/50616596280871230473069*c_0110_6^14 + 45198372459205149354088544/50616596280871230473069*c_0110_6^12 - 125600092643717250065560740/50616596280871230473069*c_0110_6^10 + 205640252376777731388077311/50616596280871230473069*c_0110_6^8 - 143450212851926762612691298/50616596280871230473069*c_0110_6^6 + 10869233217649339124463935/50616596280871230473069*c_0110_6^4 - 1416434618755798729689235/50616596280871230473069*c_0110_6^2 + 89464413859210103106877/50616596280871230473069, c_0011_4 + 6189199325496040424644/50616596280871230473069*c_0110_6^19 - 668219847398934512145968/50616596280871230473069*c_0110_6^17 + 5472942001802664667612252/50616596280871230473069*c_0110_6^15 - 22466930636129678362272998/50616596280871230473069*c_0110_6^13 + 62645154052084517940918679/50616596280871230473069*c_0110_6^11 - 103328418167628711814434659/50616596280871230473069*c_0110_6^9 + 73842558841539406996205650/50616596280871230473069*c_0110_6^7 - 7594561735660797233031102/50616596280871230473069*c_0110_6^5 + 1082973824798683422603675/50616596280871230473069*c_0110_6^3 - 186610155124168082754133/50616596280871230473069*c_0110_6, c_0101_0 + 27283422505744055156028/50616596280871230473069*c_0110_6^19 - 2945568506573522248550960/50616596280871230473069*c_0110_6^17 + 24115284043004804400044592/50616596280871230473069*c_0110_6^15 - 98951482082133091845960978/50616596280871230473069*c_0110_6^13 + 275800360416666955106386497/50616596280871230473069*c_0110_6^11 - 454527236969004518493461243/50616596280871230473069*c_0110_6^9 + 323963723293626228191293745/50616596280871230473069*c_0110_6^7 - 32504351509255123750114841/50616596280871230473069*c_0110_6^5 + 4614693006492876152795141/50616596280871230473069*c_0110_6^3 - 388264156440163502553007/50616596280871230473069*c_0110_6, c_0101_6 + 10569167678713674848992/50616596280871230473069*c_0110_6^19 - 1142188372448729993086576/50616596280871230473069*c_0110_6^17 + 9462861052152106785896700/50616596280871230473069*c_0110_6^15 - 39311981458446852212296772/50616596280871230473069*c_0110_6^13 + 110812495202852271191351376/50616596280871230473069*c_0110_6^11 - 187019501310234434262138442/50616596280871230473069*c_0110_6^9 + 143076344407809295905721009/50616596280871230473069*c_0110_6^7 - 24063224991953191846754922/50616596280871230473069*c_0110_6^5 + 1773865488234867335232831/50616596280871230473069*c_0110_6^3 - 146558972627741762663636/50616596280871230473069*c_0110_6, c_0110_6^20 - 108*c_0110_6^18 + 888*c_0110_6^16 - 7321/2*c_0110_6^14 + 40987/4*c_0110_6^12 - 68173/4*c_0110_6^10 + 50013/4*c_0110_6^8 - 1630*c_0110_6^6 + 791/4*c_0110_6^4 - 63/4*c_0110_6^2 + 1/2, c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB