Magma V2.19-8 Tue Aug 20 2013 16:17:48 on localhost [Seed = 2193825376] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2033 geometric_solution 5.57069247 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3120 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 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615726776267 0.919709772984 0 0 5 4 0132 3120 0132 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 -1 0 1 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330091571214 0.255731721808 4 5 4 0 0132 2103 1230 0132 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.777223456098 0.474766258694 3 3 0 4 1302 2031 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.204085975089 0.687808505235 2 3 1 2 0132 1302 0132 3012 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 -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 0.958753942283 0.991188039222 6 2 6 1 0132 2103 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.353441396489 2.620016813951 5 6 5 6 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330091571214 0.255731721808 ==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' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_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_5, c_0101_0, c_0101_2, c_0101_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 3282702609/2020979464*c_1001_0^11 + 1814432251/1010489732*c_1001_0^10 + 3096825543/288711352*c_1001_0^9 + 256465749/505244866*c_1001_0^8 - 4971484449/505244866*c_1001_0^7 - 4317348295/505244866*c_1001_0^6 + 3442310669/288711352*c_1001_0^5 + 44084286289/2020979464*c_1001_0^4 + 16406032793/2020979464*c_1001_0^3 - 6999298435/2020979464*c_1001_0^2 + 12753010493/2020979464*c_1001_0 - 46778010883/2020979464, c_0011_0 - 1, c_0011_2 - 66548425/866134056*c_1001_0^11 + 16082497/144355676*c_1001_0^10 + 447993889/866134056*c_1001_0^9 - 39059743/216533514*c_1001_0^8 - 52402819/72177838*c_1001_0^7 - 91830155/216533514*c_1001_0^6 + 798556643/866134056*c_1001_0^5 + 378636379/288711352*c_1001_0^4 - 41516189/288711352*c_1001_0^3 - 279042857/288711352*c_1001_0^2 - 559771595/866134056*c_1001_0 - 856439579/866134056, c_0011_5 + 23159521/433067028*c_1001_0^11 - 4041351/72177838*c_1001_0^10 - 160022089/433067028*c_1001_0^9 - 8867867/108266757*c_1001_0^8 + 16257670/36088919*c_1001_0^7 + 79500185/108266757*c_1001_0^6 - 130879415/433067028*c_1001_0^5 - 190403171/144355676*c_1001_0^4 - 55114743/144355676*c_1001_0^3 + 105240961/144355676*c_1001_0^2 + 218845739/433067028*c_1001_0 + 301395095/433067028, c_0101_0 + 36235627/866134056*c_1001_0^11 - 9410835/144355676*c_1001_0^10 - 205650619/866134056*c_1001_0^9 + 22928521/216533514*c_1001_0^8 + 5225259/72177838*c_1001_0^7 + 12808817/216533514*c_1001_0^6 + 15031471/866134056*c_1001_0^5 - 14324073/288711352*c_1001_0^4 - 74641217/288711352*c_1001_0^3 - 79274421/288711352*c_1001_0^2 - 133211551/866134056*c_1001_0 + 530161169/866134056, c_0101_2 + 3144535/433067028*c_1001_0^11 - 3218327/72177838*c_1001_0^10 + 8568389/433067028*c_1001_0^9 + 23520064/108266757*c_1001_0^8 - 4265153/36088919*c_1001_0^7 - 35185300/108266757*c_1001_0^6 - 28051433/433067028*c_1001_0^5 + 80144483/144355676*c_1001_0^4 + 35652395/144355676*c_1001_0^3 + 31475247/144355676*c_1001_0^2 - 237321811/433067028*c_1001_0 + 32161097/433067028, c_0101_5 - 22977577/288711352*c_1001_0^11 + 8459883/144355676*c_1001_0^10 + 171104161/288711352*c_1001_0^9 + 16094907/72177838*c_1001_0^8 - 56228969/72177838*c_1001_0^7 - 59047405/72177838*c_1001_0^6 + 213902003/288711352*c_1001_0^5 + 470337633/288711352*c_1001_0^4 + 207044281/288711352*c_1001_0^3 - 339392499/288711352*c_1001_0^2 - 169887619/288711352*c_1001_0 - 283177771/288711352, c_1001_0^12 - c_1001_0^11 - 7*c_1001_0^10 - c_1001_0^9 + 8*c_1001_0^8 + 8*c_1001_0^7 - 7*c_1001_0^6 - 16*c_1001_0^5 - 6*c_1001_0^4 + 6*c_1001_0^3 + 2*c_1001_0^2 + 18*c_1001_0 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB