Magma V2.19-8 Tue Aug 20 2013 16:19:20 on localhost [Seed = 2968595889] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3442 geometric_solution 6.61352273 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 1302 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 -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 0.840389324517 1.480694167119 0 3 5 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425172843379 0.413102972362 4 0 3 5 0321 0132 3201 0321 0 0 0 0 0 0 0 0 1 0 0 -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 1 -1 0 1 0 0 -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 0.688627402762 0.660164629581 2 1 0 0 2310 0132 2031 0132 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 0 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 0.840389324517 1.480694167119 2 6 1 5 0321 0132 0132 1302 0 0 0 0 0 -1 1 0 -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 0 0 0 -1 0 0 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 0.760259507486 0.930480886888 6 2 4 1 2310 0321 2031 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 0.760259507486 0.930480886888 6 4 5 6 3012 0132 3201 1230 0 0 0 0 0 1 0 -1 1 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431342731570 0.808148233868 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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_4']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_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' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_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_0101_0, c_0101_1, c_0101_3, c_0101_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 15452073/7730*c_1001_0^15 - 22694751/7730*c_1001_0^14 - 154372173/7730*c_1001_0^13 + 69866517/3865*c_1001_0^12 + 615909349/7730*c_1001_0^11 - 30485441/1546*c_1001_0^10 - 667211236/3865*c_1001_0^9 - 158382771/3865*c_1001_0^8 + 1456675007/7730*c_1001_0^7 + 847353193/7730*c_1001_0^6 - 701720037/7730*c_1001_0^5 - 72078836/773*c_1001_0^4 + 3860733/7730*c_1001_0^3 + 42073219/1546*c_1001_0^2 + 8565628/773*c_1001_0 + 10964467/7730, c_0011_0 - 1, c_0011_4 + 626031/1546*c_1001_0^15 - 438729/773*c_1001_0^14 - 6327549/1546*c_1001_0^13 + 5257547/1546*c_1001_0^12 + 12728397/773*c_1001_0^11 - 2306357/773*c_1001_0^10 - 54998729/1546*c_1001_0^9 - 8135718/773*c_1001_0^8 + 29658850/773*c_1001_0^7 + 19186759/773*c_1001_0^6 - 13764281/773*c_1001_0^5 - 15793947/773*c_1001_0^4 - 960939/1546*c_1001_0^3 + 9012435/1546*c_1001_0^2 + 3869733/1546*c_1001_0 + 509427/1546, c_0101_0 + c_1001_0, c_0101_1 + 130926/773*c_1001_0^15 - 389139/1546*c_1001_0^14 - 1299410/773*c_1001_0^13 + 2389049/1546*c_1001_0^12 + 10311799/1546*c_1001_0^11 - 2595939/1546*c_1001_0^10 - 22294337/1546*c_1001_0^9 - 2664086/773*c_1001_0^8 + 24180375/1546*c_1001_0^7 + 14279001/1546*c_1001_0^6 - 11447471/1546*c_1001_0^5 - 6059311/773*c_1001_0^4 - 71519/773*c_1001_0^3 + 1752442/773*c_1001_0^2 + 1491187/1546*c_1001_0 + 99643/773, c_0101_3 - 274551/1546*c_1001_0^15 + 421815/1546*c_1001_0^14 + 2700997/1546*c_1001_0^13 - 2636361/1546*c_1001_0^12 - 5326786/773*c_1001_0^11 + 1615003/773*c_1001_0^10 + 23109529/1546*c_1001_0^9 + 4461683/1546*c_1001_0^8 - 12669580/773*c_1001_0^7 - 13664537/1546*c_1001_0^6 + 12408723/1546*c_1001_0^5 + 11948059/1546*c_1001_0^4 - 290231/1546*c_1001_0^3 - 1767863/773*c_1001_0^2 - 1409923/1546*c_1001_0 - 178801/1546, c_0101_5 + 76689/1546*c_1001_0^15 - 161529/1546*c_1001_0^14 - 671409/1546*c_1001_0^13 + 568622/773*c_1001_0^12 + 2408293/1546*c_1001_0^11 - 2401065/1546*c_1001_0^10 - 2691556/773*c_1001_0^9 + 1037472/773*c_1001_0^8 + 6561577/1546*c_1001_0^7 - 95913/1546*c_1001_0^6 - 4216763/1546*c_1001_0^5 - 511708/773*c_1001_0^4 + 1161561/1546*c_1001_0^3 + 521167/1546*c_1001_0^2 - 6332/773*c_1001_0 - 23293/1546, c_1001_0^16 - c_1001_0^15 - 32/3*c_1001_0^14 + 13/3*c_1001_0^13 + 44*c_1001_0^12 + 9*c_1001_0^11 - 272/3*c_1001_0^10 - 184/3*c_1001_0^9 + 84*c_1001_0^8 + 298/3*c_1001_0^7 - 19*c_1001_0^6 - 68*c_1001_0^5 - 22*c_1001_0^4 + 41/3*c_1001_0^3 + 12*c_1001_0^2 + 10/3*c_1001_0 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB