Magma V2.19-8 Tue Aug 20 2013 16:17:11 on localhost [Seed = 374835910] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1422 geometric_solution 5.25714778 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 0213 0132 0132 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 -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 0.538167518437 0.152834783371 0 4 0 5 0132 0132 0213 0132 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.742352668975 0.335482173086 5 4 3 0 0132 0321 2031 0132 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 -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 0.618679778137 0.323798201373 4 5 0 2 0213 1302 0132 1302 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 0 -1 1 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 0.663057973734 0.976490761474 3 1 6 2 0213 0132 0132 0321 0 0 0 0 0 0 0 0 1 0 -1 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 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 0.700556603515 0.851449276776 2 6 1 3 0132 3201 0132 2031 0 0 0 0 0 1 -1 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 1.454272945962 0.615113546646 6 6 5 4 1230 3012 2310 0132 0 0 0 0 0 0 0 0 0 0 -1 1 -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 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 1.315765486629 0.915119090079 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_2']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], '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_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_3'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_6']), 'c_1010_0' : d['c_0101_2']})} 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_3, c_0101_0, c_0101_2, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 1333073/190185*c_1001_0^8 - 2170829/63395*c_1001_0^7 - 19271684/190185*c_1001_0^6 - 15159386/190185*c_1001_0^5 - 2507796/63395*c_1001_0^4 + 4521569/63395*c_1001_0^3 + 39238018/190185*c_1001_0^2 + 5614537/63395*c_1001_0 - 5481728/190185, c_0011_0 - 1, c_0011_2 + 1788/12679*c_1001_0^8 - 5382/12679*c_1001_0^7 - 45868/12679*c_1001_0^6 - 47375/12679*c_1001_0^5 - 15778/12679*c_1001_0^4 + 1119/12679*c_1001_0^3 + 88327/12679*c_1001_0^2 + 70297/12679*c_1001_0 - 32735/12679, c_0011_3 + 1788/12679*c_1001_0^8 - 5382/12679*c_1001_0^7 - 45868/12679*c_1001_0^6 - 47375/12679*c_1001_0^5 - 15778/12679*c_1001_0^4 + 1119/12679*c_1001_0^3 + 88327/12679*c_1001_0^2 + 70297/12679*c_1001_0 - 20056/12679, c_0101_0 - 1159/12679*c_1001_0^8 + 5148/12679*c_1001_0^7 + 19067/12679*c_1001_0^6 + 21611/12679*c_1001_0^5 + 15092/12679*c_1001_0^4 - 8788/12679*c_1001_0^3 - 23848/12679*c_1001_0^2 - 23691/12679*c_1001_0 - 6174/12679, c_0101_2 + 6505/12679*c_1001_0^8 - 31366/12679*c_1001_0^7 - 96218/12679*c_1001_0^6 - 77612/12679*c_1001_0^5 - 47631/12679*c_1001_0^4 + 49958/12679*c_1001_0^3 + 184423/12679*c_1001_0^2 + 75557/12679*c_1001_0 - 28349/12679, c_0101_6 + 5858/12679*c_1001_0^8 - 28525/12679*c_1001_0^7 - 85038/12679*c_1001_0^6 - 67156/12679*c_1001_0^5 - 44829/12679*c_1001_0^4 + 57403/12679*c_1001_0^3 + 167686/12679*c_1001_0^2 + 60111/12679*c_1001_0 - 27190/12679, c_1001_0^9 - 5*c_1001_0^8 - 14*c_1001_0^7 - 9*c_1001_0^6 - 4*c_1001_0^5 + 10*c_1001_0^4 + 27*c_1001_0^3 + 6*c_1001_0^2 - 8*c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB