Magma V2.19-8 Tue Aug 20 2013 16:16:58 on localhost [Seed = 1966401953] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1221 geometric_solution 5.11690005 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 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 0 -1 0 0 1 -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 0.474685681917 0.492169232575 0 3 2 4 0132 0132 1230 0132 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 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 0.984753450290 1.052639955827 3 0 4 1 2310 0132 0132 3012 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 -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 0.984753450290 1.052639955827 3 1 2 3 3201 0132 3201 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.287953379189 0.787993830240 5 5 1 2 0132 2310 0132 0132 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 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 0.257988334381 1.113471130121 4 6 6 4 0132 0132 3201 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 -0.428426861081 0.394817446326 5 5 6 6 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.550146960447 0.375182645820 ==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' : 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' : negation(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' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0101_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_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' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), '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' : negation(d['c_0101_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 3775069/2226973*c_0101_3*c_0101_6^9 + 5120709/2226973*c_0101_3*c_0101_6^8 + 24868439/2226973*c_0101_3*c_0101_6^7 + 51661178/2226973*c_0101_3*c_0101_6^6 + 14626413/2226973*c_0101_3*c_0101_6^5 - 93869000/2226973*c_0101_3*c_0101_6^4 - 28499614/2226973*c_0101_3*c_0101_6^3 + 112742708/2226973*c_0101_3*c_0101_6^2 - 58233515/2226973*c_0101_3*c_0101_6 - 18720955/2226973*c_0101_3, c_0011_0 - 1, c_0011_4 + 583915/2226973*c_0101_3*c_0101_6^9 + 1288729/2226973*c_0101_3*c_0101_6^8 + 5135262/2226973*c_0101_3*c_0101_6^7 + 12459137/2226973*c_0101_3*c_0101_6^6 + 14007626/2226973*c_0101_3*c_0101_6^5 - 1124990/2226973*c_0101_3*c_0101_6^4 - 6219819/2226973*c_0101_3*c_0101_6^3 + 6456575/2226973*c_0101_3*c_0101_6^2 - 820886/2226973*c_0101_3*c_0101_6 + 2746332/2226973*c_0101_3, c_0101_0 + 247098/2226973*c_0101_6^9 + 801672/2226973*c_0101_6^8 + 2614636/2226973*c_0101_6^7 + 7323651/2226973*c_0101_6^6 + 10302724/2226973*c_0101_6^5 + 3555150/2226973*c_0101_6^4 - 5521343/2226973*c_0101_6^3 + 280668/2226973*c_0101_6^2 + 3970493/2226973*c_0101_6 + 149818/2226973, c_0101_1 - 19675/318139*c_0101_6^9 - 83709/318139*c_0101_6^8 - 251876/318139*c_0101_6^7 - 739483/318139*c_0101_6^6 - 1220335/318139*c_0101_6^5 - 621617/318139*c_0101_6^4 + 766657/318139*c_0101_6^3 + 258626/318139*c_0101_6^2 - 630943/318139*c_0101_6 - 158591/318139, c_0101_2 - 526222/2226973*c_0101_3*c_0101_6^9 - 1069270/2226973*c_0101_3*c_0101_6^8 - 4331797/2226973*c_0101_3*c_0101_6^7 - 10396598/2226973*c_0101_3*c_0101_6^6 - 10041084/2226973*c_0101_3*c_0101_6^5 + 3654309/2226973*c_0101_3*c_0101_6^4 + 4970780/2226973*c_0101_3*c_0101_6^3 - 10379566/2226973*c_0101_3*c_0101_6^2 + 989496/2226973*c_0101_3*c_0101_6 - 2780406/2226973*c_0101_3, c_0101_3^2 + 109373/2226973*c_0101_6^9 + 215709/2226973*c_0101_6^8 + 851504/2226973*c_0101_6^7 + 2147270/2226973*c_0101_6^6 + 1760379/2226973*c_0101_6^5 - 796169/2226973*c_0101_6^4 - 154744/2226973*c_0101_6^3 + 2091050/2226973*c_0101_6^2 - 446108/2226973*c_0101_6 - 960319/2226973, c_0101_6^10 + 2*c_0101_6^9 + 8*c_0101_6^8 + 19*c_0101_6^7 + 17*c_0101_6^6 - 12*c_0101_6^5 - 14*c_0101_6^4 + 20*c_0101_6^3 + c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB