Magma V2.19-8 Tue Aug 20 2013 16:15:48 on localhost [Seed = 3465499365] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0028 geometric_solution 3.59566042 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 0 0 0 0 0 0 0 0 0 0 3.219592820293 0.288875846907 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.555640776422 0.024877283478 0 3 3 0 3201 0132 3201 0132 0 0 0 0 0 -1 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 0 0 0 0 1 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 0 0 0 -1.032899242384 0.567207110574 2 2 4 4 2310 0132 0132 3201 0 0 0 0 0 1 -1 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 -1 0 1 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 0.135870955509 0.176552295394 5 3 6 3 0132 2310 0132 0132 0 0 0 0 0 0 -1 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 0 0 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.955655878138 1.949040875744 4 6 6 6 0132 3201 2310 1230 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 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 0.001528822178 0.976012587562 5 5 5 4 3012 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.001528822178 0.976012587562 ==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' : 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' : negation(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_4']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), '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_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), '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_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 856168454554/10230839721*c_0101_3^12 - 721195235755/3410279907*c_0101_3^11 + 1240207582111/3410279907*c_0101_3^10 + 22172726680514/10230839721*c_0101_3^9 + 1148478639301/1136759969*c_0101_3^8 - 20240109451853/3410279907*c_0101_3^7 - 79903676212432/10230839721*c_0101_3^6 + 21199608341621/3410279907*c_0101_3^5 + 80222064629590/10230839721*c_0101_3^4 - 10439126229163/3410279907*c_0101_3^3 - 1692191382553/1136759969*c_0101_3^2 + 522827128846/1136759969*c_0101_3 - 523670965238/10230839721, c_0011_0 - 1, c_0011_2 + 442972214/1136759969*c_0101_3^12 + 1026562321/1136759969*c_0101_3^11 - 2074952958/1136759969*c_0101_3^10 - 10797186703/1136759969*c_0101_3^9 - 2991194024/1136759969*c_0101_3^8 + 30911663168/1136759969*c_0101_3^7 + 33127523112/1136759969*c_0101_3^6 - 39037575102/1136759969*c_0101_3^5 - 30489507847/1136759969*c_0101_3^4 + 20144873507/1136759969*c_0101_3^3 + 491899306/1136759969*c_0101_3^2 - 1167996187/1136759969*c_0101_3 + 1008034264/1136759969, c_0011_4 - 39704344/1136759969*c_0101_3^12 - 316429220/1136759969*c_0101_3^11 - 357776682/1136759969*c_0101_3^10 + 1960302685/1136759969*c_0101_3^9 + 5931988252/1136759969*c_0101_3^8 - 305624347/1136759969*c_0101_3^7 - 18071990359/1136759969*c_0101_3^6 - 16105456415/1136759969*c_0101_3^5 + 17683305391/1136759969*c_0101_3^4 + 13742542905/1136759969*c_0101_3^3 - 7273715429/1136759969*c_0101_3^2 - 654747252/1136759969*c_0101_3 + 880236043/1136759969, c_0011_6 - 131252890/1136759969*c_0101_3^12 - 189369933/1136759969*c_0101_3^11 + 983695839/1136759969*c_0101_3^10 + 2968041794/1136759969*c_0101_3^9 - 2169568124/1136759969*c_0101_3^8 - 12523335685/1136759969*c_0101_3^7 - 4254802803/1136759969*c_0101_3^6 + 25418979573/1136759969*c_0101_3^5 + 9547196370/1136759969*c_0101_3^4 - 15729245765/1136759969*c_0101_3^3 - 3140659733/1136759969*c_0101_3^2 + 1203830573/1136759969*c_0101_3 + 112929253/1136759969, c_0101_0 + 7904258/1136759969*c_0101_3^12 - 244110783/1136759969*c_0101_3^11 - 867118957/1136759969*c_0101_3^10 + 397565081/1136759969*c_0101_3^9 + 6903879043/1136759969*c_0101_3^8 + 7573642982/1136759969*c_0101_3^7 - 13629653393/1136759969*c_0101_3^6 - 31381227773/1136759969*c_0101_3^5 + 4451514477/1136759969*c_0101_3^4 + 28458041235/1136759969*c_0101_3^3 + 1297067242/1136759969*c_0101_3^2 - 5931734471/1136759969*c_0101_3 + 39693074/1136759969, c_0101_1 - 247692184/1136759969*c_0101_3^12 - 400425330/1136759969*c_0101_3^11 + 1626056573/1136759969*c_0101_3^10 + 5325896297/1136759969*c_0101_3^9 - 3042049483/1136759969*c_0101_3^8 - 20135877781/1136759969*c_0101_3^7 - 6055036763/1136759969*c_0101_3^6 + 41032790384/1136759969*c_0101_3^5 + 7079039990/1136759969*c_0101_3^4 - 31344410114/1136759969*c_0101_3^3 + 1181688573/1136759969*c_0101_3^2 + 4134248242/1136759969*c_0101_3 - 217959419/1136759969, c_0101_3^13 + 5/2*c_0101_3^12 - 9/2*c_0101_3^11 - 26*c_0101_3^10 - 11*c_0101_3^9 + 147/2*c_0101_3^8 + 185/2*c_0101_3^7 - 83*c_0101_3^6 - 100*c_0101_3^5 + 91/2*c_0101_3^4 + 51/2*c_0101_3^3 - 9*c_0101_3^2 - c_0101_3 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB