Magma V2.19-8 Tue Aug 20 2013 16:17:52 on localhost [Seed = 1865347986] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2102 geometric_solution 5.60155102 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 0132 0 0 0 0 0 -1 0 1 1 0 0 -1 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 -1 1 0 1 0 0 -1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.782163767659 1.431224043893 3 2 4 0 0132 1023 0132 0132 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 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 -0.085090157408 1.297669248459 1 3 0 4 1023 3201 0132 2310 0 0 0 0 0 1 -1 0 0 0 1 -1 -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 -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 -0.085090157408 1.297669248459 1 5 2 5 0132 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415889917575 1.180013822999 2 6 6 1 3201 0132 3201 0132 0 0 0 0 0 0 0 0 -1 0 1 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 0 0.427621370946 0.198540572151 3 3 5 5 3201 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 0.322666633786 0.196387271176 4 4 6 6 2310 0132 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.782163767659 1.431224043893 ==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' : 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' : d['c_0101_6'], 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_1, c_0101_2, c_0101_6, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 450733/6439*c_0110_5^10 - 3335192/6439*c_0110_5^9 - 1889795/6439*c_0110_5^8 + 24179344/6439*c_0110_5^7 + 2264997/6439*c_0110_5^6 - 52531671/6439*c_0110_5^5 + 34574/6439*c_0110_5^4 + 42217224/6439*c_0110_5^3 + 550939/6439*c_0110_5^2 - 10203698/6439*c_0110_5 - 1878181/6439, c_0011_0 - 1, c_0011_1 + 226/6439*c_0110_5^10 - 3497/6439*c_0110_5^9 + 12465/6439*c_0110_5^8 + 18359/6439*c_0110_5^7 - 80994/6439*c_0110_5^6 - 34433/6439*c_0110_5^5 + 121267/6439*c_0110_5^4 + 26206/6439*c_0110_5^3 - 42503/6439*c_0110_5^2 - 5787/6439*c_0110_5 - 3342/6439, c_0011_4 + 27113/6439*c_0110_5^10 - 194765/6439*c_0110_5^9 - 151631/6439*c_0110_5^8 + 1393961/6439*c_0110_5^7 + 404254/6439*c_0110_5^6 - 2894577/6439*c_0110_5^5 - 482137/6439*c_0110_5^4 + 2169397/6439*c_0110_5^3 + 274188/6439*c_0110_5^2 - 476161/6439*c_0110_5 - 103090/6439, c_0101_1 + 17127/6439*c_0110_5^10 - 121105/6439*c_0110_5^9 - 108424/6439*c_0110_5^8 + 863334/6439*c_0110_5^7 + 332072/6439*c_0110_5^6 - 1746417/6439*c_0110_5^5 - 397358/6439*c_0110_5^4 + 1229933/6439*c_0110_5^3 + 174762/6439*c_0110_5^2 - 231854/6439*c_0110_5 - 48530/6439, c_0101_2 + 19376/6439*c_0110_5^10 - 137528/6439*c_0110_5^9 - 120255/6439*c_0110_5^8 + 987823/6439*c_0110_5^7 + 366962/6439*c_0110_5^6 - 2052232/6439*c_0110_5^5 - 474772/6439*c_0110_5^4 + 1553455/6439*c_0110_5^3 + 264442/6439*c_0110_5^2 - 353291/6439*c_0110_5 - 82870/6439, c_0101_6 + 1, c_0110_5^11 - 7*c_0110_5^10 - 7*c_0110_5^9 + 51*c_0110_5^8 + 25*c_0110_5^7 - 108*c_0110_5^6 - 40*c_0110_5^5 + 83*c_0110_5^4 + 29*c_0110_5^3 - 18*c_0110_5^2 - 9*c_0110_5 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_1, c_0101_2, c_0101_6, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 1685/147*c_0101_6*c_0110_5^8 + 1229/49*c_0101_6*c_0110_5^7 - 22670/147*c_0101_6*c_0110_5^6 + 5941/49*c_0101_6*c_0110_5^5 - 47869/147*c_0101_6*c_0110_5^4 + 6803/49*c_0101_6*c_0110_5^3 - 37903/147*c_0101_6*c_0110_5^2 + 6190/147*c_0101_6*c_0110_5 - 9788/147*c_0101_6 + 142363/3969*c_0110_5^8 - 207863/2646*c_0110_5^7 + 1913911/3969*c_0110_5^6 - 502331/1323*c_0110_5^5 + 8049421/7938*c_0110_5^4 - 578146/1323*c_0110_5^3 + 3173783/3969*c_0110_5^2 - 1054549/7938*c_0110_5 + 804205/3969, c_0011_0 - 1, c_0011_1 + 32/63*c_0110_5^8 - 20/21*c_0110_5^7 + 377/63*c_0110_5^6 - 46/21*c_0110_5^5 + 421/63*c_0110_5^4 + 40/21*c_0110_5^3 + 151/63*c_0110_5^2 + 200/63*c_0110_5 - 4/63, c_0011_4 - c_0101_6 + 1, c_0101_1 - 73/189*c_0110_5^8 + 22/63*c_0110_5^7 - 799/189*c_0110_5^6 - 130/63*c_0110_5^5 - 1427/189*c_0110_5^4 - 338/63*c_0110_5^3 - 878/189*c_0110_5^2 - 724/189*c_0110_5 - 172/189, c_0101_2 + 82/189*c_0101_6*c_0110_5^8 - 67/63*c_0101_6*c_0110_5^7 + 2129/378*c_0101_6*c_0110_5^6 - 320/63*c_0101_6*c_0110_5^5 + 1445/189*c_0101_6*c_0110_5^4 - 467/126*c_0101_6*c_0110_5^3 + 383/189*c_0101_6*c_0110_5^2 - 23/189*c_0101_6*c_0110_5 - 367/378*c_0101_6 - 82/189*c_0110_5^8 + 67/63*c_0110_5^7 - 2129/378*c_0110_5^6 + 320/63*c_0110_5^5 - 1445/189*c_0110_5^4 + 467/126*c_0110_5^3 - 383/189*c_0110_5^2 + 23/189*c_0110_5 + 367/378, c_0101_6^2 - 73/189*c_0101_6*c_0110_5^8 + 22/63*c_0101_6*c_0110_5^7 - 799/189*c_0101_6*c_0110_5^6 - 130/63*c_0101_6*c_0110_5^5 - 1427/189*c_0101_6*c_0110_5^4 - 338/63*c_0101_6*c_0110_5^3 - 878/189*c_0101_6*c_0110_5^2 - 724/189*c_0101_6*c_0110_5 - 739/189*c_0101_6 + 1, c_0110_5^9 - 2*c_0110_5^8 + 13*c_0110_5^7 - 8*c_0110_5^6 + 26*c_0110_5^5 - 7*c_0110_5^4 + 20*c_0110_5^3 + 5*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB