Magma V2.19-8 Tue Aug 20 2013 16:16:49 on localhost [Seed = 3018993509] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1085 geometric_solution 4.95204109 oriented_manifold CS_known 0.0000000000000001 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 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 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.137851179600 0.695424695680 0 3 5 5 0132 0132 2310 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.168907965435 3.243791640611 3 0 2 2 0132 0132 2031 1302 0 0 0 0 0 1 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 0 0 0 0 0 0 -1 1 1 0 -1 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 0.262780673130 0.553288083591 2 1 4 0 0132 0132 3201 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.137851179600 0.695424695680 3 4 0 4 2310 2310 0132 3201 0 0 0 0 0 1 -1 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.274266052523 1.383603583698 6 1 1 6 0132 3201 0132 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 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 -0.059672124910 0.196423517043 5 6 6 5 0132 1230 3012 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 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 2.957775352761 1.190352502060 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), '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_0101_1']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), '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_3'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_3'])})} 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_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 680033831393/147539395713*c_0101_6^16 - 6574875704504/49179798571*c_0101_6^14 + 58512987817544/49179798571*c_0101_6^12 - 758058344962481/147539395713*c_0101_6^10 + 1626972300928921/147539395713*c_0101_6^8 - 1667972388271256/147539395713*c_0101_6^6 + 775316453637130/147539395713*c_0101_6^4 - 142331266180249/147539395713*c_0101_6^2 + 9842889779990/147539395713, c_0011_0 - 1, c_0011_4 + 5189381499/49179798571*c_0101_6^17 - 148198638955/49179798571*c_0101_6^15 + 1275209330761/49179798571*c_0101_6^13 - 5269470388276/49179798571*c_0101_6^11 + 10520281034506/49179798571*c_0101_6^9 - 9854357918377/49179798571*c_0101_6^7 + 4851403509385/49179798571*c_0101_6^5 - 1397334912181/49179798571*c_0101_6^3 + 107627499406/49179798571*c_0101_6, c_0011_5 + 3389580081/49179798571*c_0101_6^16 - 96334562586/49179798571*c_0101_6^14 + 819178542805/49179798571*c_0101_6^12 - 3314777871004/49179798571*c_0101_6^10 + 6301471181073/49179798571*c_0101_6^8 - 5152877454472/49179798571*c_0101_6^6 + 1823409855550/49179798571*c_0101_6^4 - 359311738922/49179798571*c_0101_6^2 + 19038185620/49179798571, c_0101_0 - 2098188595/49179798571*c_0101_6^16 + 60187078561/49179798571*c_0101_6^14 - 522354546804/49179798571*c_0101_6^12 + 2171899927165/49179798571*c_0101_6^10 - 4324836284130/49179798571*c_0101_6^8 + 3761446086702/49179798571*c_0101_6^6 - 1197040408789/49179798571*c_0101_6^4 + 124137799112/49179798571*c_0101_6^2 - 30266411108/49179798571, c_0101_1 - 296614259/49179798571*c_0101_6^17 + 11870725753/49179798571*c_0101_6^15 - 169309338570/49179798571*c_0101_6^13 + 1116554024392/49179798571*c_0101_6^11 - 3865338036793/49179798571*c_0101_6^9 + 6598979552234/49179798571*c_0101_6^7 - 4768096826526/49179798571*c_0101_6^5 + 1160220399768/49179798571*c_0101_6^3 - 56716445789/49179798571*c_0101_6, c_0101_3 - 3976504647/49179798571*c_0101_6^17 + 111468273826/49179798571*c_0101_6^15 - 916811732068/49179798571*c_0101_6^13 + 3507696548578/49179798571*c_0101_6^11 - 5814174922222/49179798571*c_0101_6^9 + 2894768323559/49179798571*c_0101_6^7 + 727280169550/49179798571*c_0101_6^5 - 680321583065/49179798571*c_0101_6^3 + 94197322936/49179798571*c_0101_6, c_0101_6^18 - 29*c_0101_6^16 + 258*c_0101_6^14 - 1114*c_0101_6^12 + 2392*c_0101_6^10 - 2462*c_0101_6^8 + 1168*c_0101_6^6 - 234*c_0101_6^4 + 20*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB