Magma V2.19-8 Tue Aug 20 2013 16:17:10 on localhost [Seed = 2176851281] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1414 geometric_solution 5.25206781 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 -1 0 1 -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 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 -0.558741474160 0.187501672053 0 0 2 2 0132 3201 2310 0132 0 0 0 0 0 -1 1 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 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 3.904753046875 2.276465309616 3 1 1 4 0132 3201 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -1 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 -0.068035390068 0.647044935325 2 4 4 5 0132 2310 1302 0132 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 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 0.260540196930 0.674380842223 3 6 2 3 2031 0132 0132 3201 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 -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 0.260540196930 0.674380842223 6 6 3 6 3012 0213 0132 2310 0 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 1 0 -1 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 0.738285692041 0.673310063283 5 4 5 5 3201 0132 0213 1230 0 1 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 -1 0 1 0 -1 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 0.738285692041 0.673310063283 ==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' : negation(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' : negation(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_5']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : negation(d['c_0101_1']), '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' : negation(d['c_0011_5']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0011_5']), 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), '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_4, c_0011_5, c_0101_0, c_0101_1, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 9066775801021/12757316000*c_0110_4^10 - 3400327080707/1275731600*c_0110_4^9 + 7998420695917/490666000*c_0110_4^8 - 586864773239467/12757316000*c_0110_4^7 + 508473012983997/6378658000*c_0110_4^6 - 1024603426570781/12757316000*c_0110_4^5 + 1153457363853933/12757316000*c_0110_4^4 - 615479314344903/6378658000*c_0110_4^3 + 29257772612779/490666000*c_0110_4^2 - 289674156260067/12757316000*c_0110_4 - 72640850225063/6378658000, c_0011_0 - 1, c_0011_2 - 31298428/79733225*c_0110_4^10 - 23498802/15946645*c_0110_4^9 + 55103537/6133325*c_0110_4^8 - 2029077306/79733225*c_0110_4^7 + 3521359742/79733225*c_0110_4^6 - 3553657358/79733225*c_0110_4^5 + 3994419269/79733225*c_0110_4^4 - 4180290483/79733225*c_0110_4^3 + 203397719/6133325*c_0110_4^2 - 1002758981/79733225*c_0110_4 - 531419418/79733225, c_0011_4 + 58260607/318932900*c_0110_4^10 + 21183659/31893290*c_0110_4^9 - 52421439/12266650*c_0110_4^8 + 3915975389/318932900*c_0110_4^7 - 3468423549/159466450*c_0110_4^6 + 7235513427/318932900*c_0110_4^5 - 7943671711/318932900*c_0110_4^4 + 4245924151/159466450*c_0110_4^3 - 208838093/12266650*c_0110_4^2 + 2094675189/318932900*c_0110_4 + 488809921/159466450, c_0011_5 - 1, c_0101_0 + 58260607/318932900*c_0110_4^10 + 21183659/31893290*c_0110_4^9 - 52421439/12266650*c_0110_4^8 + 3915975389/318932900*c_0110_4^7 - 3468423549/159466450*c_0110_4^6 + 7235513427/318932900*c_0110_4^5 - 7943671711/318932900*c_0110_4^4 + 4245924151/159466450*c_0110_4^3 - 208838093/12266650*c_0110_4^2 + 2413608089/318932900*c_0110_4 + 488809921/159466450, c_0101_1 + 851126611/318932900*c_0110_4^10 + 318339907/31893290*c_0110_4^9 - 752805197/12266650*c_0110_4^8 + 55190709397/318932900*c_0110_4^7 - 47856473227/159466450*c_0110_4^6 + 96379617771/318932900*c_0110_4^5 - 108319914903/318932900*c_0110_4^4 + 58009687273/159466450*c_0110_4^3 - 2743830139/12266650*c_0110_4^2 + 27145781097/318932900*c_0110_4 + 6807214333/159466450, c_0110_4^11 + 4*c_0110_4^10 - 22*c_0110_4^9 + 59*c_0110_4^8 - 96*c_0110_4^7 + 85*c_0110_4^6 - 99*c_0110_4^5 + 104*c_0110_4^4 - 50*c_0110_4^3 + 11*c_0110_4^2 + 24*c_0110_4 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB