Magma V2.19-8 Tue Aug 20 2013 16:16:38 on localhost [Seed = 3229703194] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0924 geometric_solution 4.82113689 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 3201 0 0 0 0 0 1 -1 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 -1 0 1 0 0 -1 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 0.737279189769 0.148105124358 0 2 0 2 0132 0132 1023 1023 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 1 -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 0 0 0 0.672608310253 0.420983391581 3 1 4 1 0132 0132 0132 1023 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.129177756357 0.984006861993 2 4 4 5 0132 1230 0213 0132 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 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 0.734723507637 0.663404481025 5 3 3 2 0132 0213 3012 0132 0 0 0 0 0 -1 0 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 -1 0 0 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 0.734723507637 0.663404481025 4 6 3 6 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.949429489297 0.344111480254 5 5 6 6 3201 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.645551414755 0.172070775675 ==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' : 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_0101_4']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 200/7*c_0110_6^3 - 74*c_0110_6^2 - 170*c_0110_6 - 517/7, c_0011_0 - 1, c_0011_4 + c_0110_6^3 + 2*c_0110_6^2 + 5*c_0110_6 + 2, c_0101_0 - 2*c_0110_6^3 - 5*c_0110_6^2 - 12*c_0110_6 - 5, c_0101_1 + c_0110_6^3 + 3*c_0110_6^2 + 7*c_0110_6 + 4, c_0101_2 + c_0110_6^3 + 3*c_0110_6^2 + 8*c_0110_6 + 3, c_0101_4 + c_0110_6^3 + 2*c_0110_6^2 + 4*c_0110_6 + 1, c_0110_6^4 + 3*c_0110_6^3 + 7*c_0110_6^2 + 5*c_0110_6 + 1 ], 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_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 3587827065597/1457919973531*c_0110_6^13 + 8882392604341/1457919973531*c_0110_6^12 + 16313141563016/1457919973531*c_0110_6^11 - 71429410277019/1457919973531*c_0110_6^10 + 116238534734292/1457919973531*c_0110_6^9 - 266730816686216/1457919973531*c_0110_6^8 + 376792254703573/1457919973531*c_0110_6^7 + 49108127842834/208274281933*c_0110_6^6 - 1756973655743150/1457919973531*c_0110_6^5 + 2117831790654574/1457919973531*c_0110_6^4 - 938576885203438/1457919973531*c_0110_6^3 - 85545211459376/1457919973531*c_0110_6^2 + 193196515536438/1457919973531*c_0110_6 - 50575318503937/1457919973531, c_0011_0 - 1, c_0011_4 - 45515116503/208274281933*c_0110_6^13 + 90623076112/208274281933*c_0110_6^12 + 260174643523/208274281933*c_0110_6^11 - 797169025126/208274281933*c_0110_6^10 + 1039600381955/208274281933*c_0110_6^9 - 2723494060601/208274281933*c_0110_6^8 + 3232970248115/208274281933*c_0110_6^7 + 6478336943660/208274281933*c_0110_6^6 - 19829002668400/208274281933*c_0110_6^5 + 16120504630871/208274281933*c_0110_6^4 - 184269654711/208274281933*c_0110_6^3 - 4573834445283/208274281933*c_0110_6^2 + 660806282886/208274281933*c_0110_6 + 269397889068/208274281933, c_0101_0 + 108109796723/208274281933*c_0110_6^13 - 204112806724/208274281933*c_0110_6^12 - 640003951491/208274281933*c_0110_6^11 + 1823329791984/208274281933*c_0110_6^10 - 2264769452730/208274281933*c_0110_6^9 + 6274578095768/208274281933*c_0110_6^8 - 7085766906576/208274281933*c_0110_6^7 - 16169354492397/208274281933*c_0110_6^6 + 45097155099281/208274281933*c_0110_6^5 - 33272517015604/208274281933*c_0110_6^4 - 1968241891881/208274281933*c_0110_6^3 + 9712972683918/208274281933*c_0110_6^2 - 1044906201867/208274281933*c_0110_6 - 464077327162/208274281933, c_0101_1 - 123706753565/208274281933*c_0110_6^13 + 200454810316/208274281933*c_0110_6^12 + 771963698930/208274281933*c_0110_6^11 - 1876775973456/208274281933*c_0110_6^10 + 2189723525085/208274281933*c_0110_6^9 - 6677141459241/208274281933*c_0110_6^8 + 6393989487001/208274281933*c_0110_6^7 + 19664289664654/208274281933*c_0110_6^6 - 46510923687611/208274281933*c_0110_6^5 + 28128254870954/208274281933*c_0110_6^4 + 7682384545785/208274281933*c_0110_6^3 - 10230165184385/208274281933*c_0110_6^2 + 65377845692/208274281933*c_0110_6 + 508570950222/208274281933, c_0101_2 - 38192102172/208274281933*c_0110_6^13 + 84493495844/208274281933*c_0110_6^12 + 204066658752/208274281933*c_0110_6^11 - 720977505512/208274281933*c_0110_6^10 + 998296791750/208274281933*c_0110_6^9 - 2444382595669/208274281933*c_0110_6^8 + 3215876548211/208274281933*c_0110_6^7 + 4966247357646/208274281933*c_0110_6^6 - 17921683189754/208274281933*c_0110_6^5 + 16572016827266/208274281933*c_0110_6^4 - 2492073077861/208274281933*c_0110_6^3 - 3399316312916/208274281933*c_0110_6^2 + 1012100736367/208274281933*c_0110_6 + 36716864858/208274281933, c_0101_4 - 4130265818/208274281933*c_0110_6^13 + 28447348629/208274281933*c_0110_6^12 - 7833977364/208274281933*c_0110_6^11 - 210017313938/208274281933*c_0110_6^10 + 388232461784/208274281933*c_0110_6^9 - 526797700117/208274281933*c_0110_6^8 + 1346645599129/208274281933*c_0110_6^7 - 313023875411/208274281933*c_0110_6^6 - 5415252341046/208274281933*c_0110_6^5 + 8556197096450/208274281933*c_0110_6^4 - 2850057293980/208274281933*c_0110_6^3 - 2585726267608/208274281933*c_0110_6^2 + 1152535159445/208274281933*c_0110_6 + 288827690121/208274281933, c_0110_6^14 - 2*c_0110_6^13 - 6*c_0110_6^12 + 18*c_0110_6^11 - 21*c_0110_6^10 + 56*c_0110_6^9 - 67*c_0110_6^8 - 158*c_0110_6^7 + 449*c_0110_6^6 - 308*c_0110_6^5 - 92*c_0110_6^4 + 155*c_0110_6^3 - 2*c_0110_6^2 - 21*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB