Magma V2.19-8 Tue Aug 20 2013 16:16:53 on localhost [Seed = 3153733476] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1146 geometric_solution 5.01649112 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 2310 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.273058271449 0.932215449192 0 2 2 0 3201 0132 3201 0132 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 0 0 0 0 0 0 0 0 -1 0 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 -0.537286148733 0.823565064849 1 1 3 4 2310 0132 0132 0132 0 0 0 0 0 1 -1 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 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 -0.041568750622 0.301030226714 4 5 6 2 1023 0132 0132 0132 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 -1 0 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 -0.232282292539 1.404345102464 5 3 2 6 2310 1023 0132 0132 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 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 -0.232282292539 1.404345102465 5 3 4 5 3201 0132 3201 2310 0 0 0 0 0 1 0 -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 1 0 -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 0.114642752299 0.693113478279 6 6 4 3 1230 3012 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728376928213 1.451633674798 ==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' : 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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_1100_2'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_1100_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_1100_2'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : 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_1, c_0011_3, c_0011_6, c_0101_1, c_0101_5, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 140602/29*c_0101_5*c_1100_2^10 + 597542/29*c_0101_5*c_1100_2^9 - 1397639/29*c_0101_5*c_1100_2^8 - 4146840/29*c_0101_5*c_1100_2^7 + 6138020/29*c_0101_5*c_1100_2^6 + 8853808/29*c_0101_5*c_1100_2^5 - 11161090/29*c_0101_5*c_1100_2^4 - 6741352/29*c_0101_5*c_1100_2^3 + 7343712/29*c_0101_5*c_1100_2^2 + 1137741/29*c_0101_5*c_1100_2 - 577387/29*c_0101_5, c_0011_0 - 1, c_0011_1 - 390/29*c_1100_2^10 - 1652/29*c_1100_2^9 + 3900/29*c_1100_2^8 + 11450/29*c_1100_2^7 - 17186/29*c_1100_2^6 - 24367/29*c_1100_2^5 + 31254/29*c_1100_2^4 + 18419/29*c_1100_2^3 - 20517/29*c_1100_2^2 - 3001/29*c_1100_2 + 1594/29, c_0011_3 - 186/29*c_0101_5*c_1100_2^10 - 820/29*c_0101_5*c_1100_2^9 + 1686/29*c_0101_5*c_1100_2^8 + 5579/29*c_0101_5*c_1100_2^7 - 7106/29*c_0101_5*c_1100_2^6 - 11776/29*c_0101_5*c_1100_2^5 + 12708/29*c_0101_5*c_1100_2^4 + 8871/29*c_0101_5*c_1100_2^3 - 8298/29*c_0101_5*c_1100_2^2 - 1425/29*c_0101_5*c_1100_2 + 675/29*c_0101_5, c_0011_6 - 487/29*c_1100_2^10 - 2084/29*c_1100_2^9 + 4754/29*c_1100_2^8 + 14364/29*c_1100_2^7 - 20749/29*c_1100_2^6 - 30449/29*c_1100_2^5 + 37639/29*c_1100_2^4 + 22897/29*c_1100_2^3 - 24706/29*c_1100_2^2 - 3681/29*c_1100_2 + 1939/29, c_0101_1 - 32/29*c_0101_5*c_1100_2^10 - 118/29*c_0101_5*c_1100_2^9 + 407/29*c_0101_5*c_1100_2^8 + 851/29*c_0101_5*c_1100_2^7 - 1878/29*c_0101_5*c_1100_2^6 - 1726/29*c_0101_5*c_1100_2^5 + 3264/29*c_0101_5*c_1100_2^4 + 1152/29*c_0101_5*c_1100_2^3 - 2002/29*c_0101_5*c_1100_2^2 - 117/29*c_0101_5*c_1100_2 + 147/29*c_0101_5, c_0101_5^2 + 434/29*c_1100_2^10 + 1865/29*c_1100_2^9 - 4195/29*c_1100_2^8 - 12834/29*c_1100_2^7 + 18224/29*c_1100_2^6 + 27197/29*c_1100_2^5 - 33016/29*c_1100_2^4 - 20438/29*c_1100_2^3 + 21682/29*c_1100_2^2 + 3238/29*c_1100_2 - 1720/29, c_1100_2^11 + 4*c_1100_2^10 - 11*c_1100_2^9 - 27*c_1100_2^8 + 51*c_1100_2^7 + 52*c_1100_2^6 - 95*c_1100_2^5 - 28*c_1100_2^4 + 64*c_1100_2^3 - 5*c_1100_2^2 - 6*c_1100_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB