Magma V2.19-8 Tue Aug 20 2013 16:16:07 on localhost [Seed = 3650635030] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0384 geometric_solution 4.45017377 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 3201 0 0 0 0 0 -1 1 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 1 -1 1 0 0 -1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.181138823438 0.847996597864 0 4 4 5 0132 0132 3120 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.607127159795 1.234847578774 6 0 6 5 0132 0132 1023 3120 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 -1 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 0.767346129017 0.288933766694 4 0 5 0 0321 2310 2031 0132 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 1 0 -1 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.244032784009 2.042506697960 3 1 1 5 0321 0132 3120 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 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 1.278027034096 0.032790931613 2 4 1 3 3120 2310 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.100831738347 0.609059107093 2 6 2 6 0132 1302 1023 2031 0 0 0 0 0 1 0 -1 0 0 1 -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 1 0 -1 0 0 1 -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 0.627351858422 0.106478118827 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_1001_1']), 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_1001_1']), 'c_1010_0' : d['c_0101_6']})} 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_3, c_0011_5, c_0101_2, c_0101_3, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 1973/14*c_1001_1^13 + 8021/14*c_1001_1^12 + 12517/14*c_1001_1^11 - 78493/14*c_1001_1^10 - 1173/2*c_1001_1^9 + 251989/14*c_1001_1^8 + 4217/2*c_1001_1^7 - 158923/7*c_1001_1^6 - 7879/2*c_1001_1^5 + 93104/7*c_1001_1^4 + 15919/7*c_1001_1^3 - 52725/14*c_1001_1^2 - 405*c_1001_1 + 5969/14, c_0011_0 - 1, c_0011_3 - 244*c_1001_1^13 + 1084*c_1001_1^12 + 1093*c_1001_1^11 - 9887*c_1001_1^10 + 2785*c_1001_1^9 + 28181*c_1001_1^8 - 5312*c_1001_1^7 - 32793*c_1001_1^6 + 1799*c_1001_1^5 + 17891*c_1001_1^4 + 164*c_1001_1^3 - 4565*c_1001_1^2 - 89*c_1001_1 + 441, c_0011_5 - 197*c_1001_1^13 + 877*c_1001_1^12 + 873*c_1001_1^11 - 7983*c_1001_1^10 + 2322*c_1001_1^9 + 22673*c_1001_1^8 - 4433*c_1001_1^7 - 26321*c_1001_1^6 + 1570*c_1001_1^5 + 14337*c_1001_1^4 + 87*c_1001_1^3 - 3650*c_1001_1^2 - 66*c_1001_1 + 352, c_0101_2 + 251*c_1001_1^13 - 1129*c_1001_1^12 - 1062*c_1001_1^11 + 10226*c_1001_1^10 - 3411*c_1001_1^9 - 28793*c_1001_1^8 + 6893*c_1001_1^7 + 33451*c_1001_1^6 - 3280*c_1001_1^5 - 18378*c_1001_1^4 + 423*c_1001_1^3 + 4733*c_1001_1^2 + 9*c_1001_1 - 460, c_0101_3 - 108*c_1001_1^13 + 479*c_1001_1^12 + 488*c_1001_1^11 - 4376*c_1001_1^10 + 1200*c_1001_1^9 + 12509*c_1001_1^8 - 2287*c_1001_1^7 - 14584*c_1001_1^6 + 744*c_1001_1^5 + 7967*c_1001_1^4 + 93*c_1001_1^3 - 2036*c_1001_1^2 - 41*c_1001_1 + 197, c_0101_6 + 398*c_1001_1^13 - 1784*c_1001_1^12 - 1716*c_1001_1^11 + 16208*c_1001_1^10 - 5144*c_1001_1^9 - 45903*c_1001_1^8 + 10315*c_1001_1^7 + 53602*c_1001_1^6 - 4557*c_1001_1^5 - 29571*c_1001_1^4 + 354*c_1001_1^3 + 7645*c_1001_1^2 + 68*c_1001_1 - 747, c_1001_1^14 - 5*c_1001_1^13 - 2*c_1001_1^12 + 43*c_1001_1^11 - 34*c_1001_1^10 - 109*c_1001_1^9 + 86*c_1001_1^8 + 122*c_1001_1^7 - 82*c_1001_1^6 - 69*c_1001_1^5 + 40*c_1001_1^4 + 19*c_1001_1^3 - 10*c_1001_1^2 - 2*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB