Magma V2.19-8 Tue Aug 20 2013 16:16:16 on localhost [Seed = 2867541576] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0540 geometric_solution 4.55974516 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 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 1 0 -1 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 0.943805217383 1.206173789795 0 4 2 4 0132 0132 1230 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.351422982711 0.422830349731 5 0 5 1 0132 0132 2310 3012 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 -1 0 1 0 0 1 -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 1.351422982711 0.422830349731 3 0 3 0 2031 2310 1302 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.942884923701 0.673503749999 1 1 6 6 3201 0132 0132 3201 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 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 0.432979746222 0.404121880500 2 2 6 6 0132 3201 1023 2310 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432979746222 0.404121880500 5 4 5 4 3201 2310 1023 0132 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.234313233262 1.152046924377 ==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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_0']), '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_0011_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0101_0']), 'c_1010_6' : negation(d['c_0110_4']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0110_4']), '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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 193563103749/37946404430*c_0110_4^15 + 148760979263/37946404430*c_0110_4^14 + 808527951123/37946404430*c_0110_4^13 - 969960743117/37946404430*c_0110_4^12 - 548015061427/7589280886*c_0110_4^11 + 644409069715/7589280886*c_0110_4^10 + 5396678616151/37946404430*c_0110_4^9 - 1325216908173/7589280886*c_0110_4^8 - 2900882767954/18973202215*c_0110_4^7 + 3340589131703/18973202215*c_0110_4^6 + 278992421329/7589280886*c_0110_4^5 - 313290954271/37946404430*c_0110_4^4 + 1119077503562/18973202215*c_0110_4^3 + 69107173347/3794640443*c_0110_4^2 + 21126598101/3794640443*c_0110_4 - 731049544591/37946404430, c_0011_0 - 1, c_0011_3 + 21101558/344967313*c_0110_4^15 - 12493469/344967313*c_0110_4^14 - 160491458/344967313*c_0110_4^13 + 172332043/344967313*c_0110_4^12 + 564186332/344967313*c_0110_4^11 - 728651383/344967313*c_0110_4^10 - 1453647589/344967313*c_0110_4^9 + 2023939183/344967313*c_0110_4^8 + 2130627612/344967313*c_0110_4^7 - 3286865832/344967313*c_0110_4^6 - 1476553972/344967313*c_0110_4^5 + 2421750022/344967313*c_0110_4^4 - 171844133/344967313*c_0110_4^3 + 150082007/344967313*c_0110_4^2 + 22827260/344967313*c_0110_4 + 281744036/344967313, c_0011_6 - 20782420/344967313*c_0110_4^15 + 14302991/344967313*c_0110_4^14 + 72015760/344967313*c_0110_4^13 - 83604488/344967313*c_0110_4^12 - 268397638/344967313*c_0110_4^11 + 276052049/344967313*c_0110_4^10 + 488553015/344967313*c_0110_4^9 - 571321706/344967313*c_0110_4^8 - 575441005/344967313*c_0110_4^7 + 674375990/344967313*c_0110_4^6 + 251206315/344967313*c_0110_4^5 - 441248607/344967313*c_0110_4^4 + 27150326/344967313*c_0110_4^3 + 504617589/344967313*c_0110_4^2 + 7622932/344967313*c_0110_4 + 351938039/344967313, c_0101_0 + 20782420/344967313*c_0110_4^15 - 14302991/344967313*c_0110_4^14 - 72015760/344967313*c_0110_4^13 + 83604488/344967313*c_0110_4^12 + 268397638/344967313*c_0110_4^11 - 276052049/344967313*c_0110_4^10 - 488553015/344967313*c_0110_4^9 + 571321706/344967313*c_0110_4^8 + 575441005/344967313*c_0110_4^7 - 674375990/344967313*c_0110_4^6 - 251206315/344967313*c_0110_4^5 + 441248607/344967313*c_0110_4^4 - 27150326/344967313*c_0110_4^3 - 849584902/344967313*c_0110_4^2 - 7622932/344967313*c_0110_4 - 351938039/344967313, c_0101_1 - 6970726/344967313*c_0110_4^15 + 27753146/344967313*c_0110_4^14 + 13579913/344967313*c_0110_4^13 - 113840116/344967313*c_0110_4^12 - 7014950/344967313*c_0110_4^11 + 407812158/344967313*c_0110_4^10 - 108754625/344967313*c_0110_4^9 - 774352781/344967313*c_0110_4^8 + 417965734/344967313*c_0110_4^7 + 868211497/344967313*c_0110_4^6 - 681346716/344967313*c_0110_4^5 - 279089219/344967313*c_0110_4^4 + 524897319/344967313*c_0110_4^3 - 20179600/344967313*c_0110_4^2 - 849584902/344967313*c_0110_4 - 35505836/344967313, c_0101_2 - c_0110_4, c_0110_4^16 - c_0110_4^15 - 4*c_0110_4^14 + 6*c_0110_4^13 + 13*c_0110_4^12 - 20*c_0110_4^11 - 24*c_0110_4^10 + 41*c_0110_4^9 + 22*c_0110_4^8 - 42*c_0110_4^7 + c_0110_4^6 + 4*c_0110_4^5 - 12*c_0110_4^4 - c_0110_4^3 + 4*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB