Magma V2.19-8 Tue Aug 20 2013 16:18:06 on localhost [Seed = 1014866168] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2322 geometric_solution 5.71522231 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 2 0 3201 0132 0132 2310 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 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935861955635 0.409786891695 3 0 2 4 0132 0132 1302 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 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 1.157849892481 0.388443798689 1 5 6 0 2031 0132 0132 0132 0 0 0 0 0 0 1 -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 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 0.355414396069 0.652792230593 1 6 5 5 0132 0132 2031 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.445918473417 0.414197011191 4 5 1 4 3012 0213 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.033595439838 0.495148460289 3 2 4 3 3012 0132 0213 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 -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 0.033595439838 0.495148460289 6 3 6 2 2310 0132 3201 0132 0 0 0 0 0 0 1 -1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.112919267263 1.312040733587 ==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' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : 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' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : d['c_0101_3'], '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_0'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_0'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0110_5']), 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : negation(d['c_0110_5']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : 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_2, c_0011_4, c_0101_0, c_0101_3, c_0110_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 80060528/92586417*c_1001_0^10 + 12111758/92586417*c_1001_0^8 + 222459206/92586417*c_1001_0^6 - 24775672/8416947*c_1001_0^4 - 753557383/92586417*c_1001_0^2 - 121875911/92586417, c_0011_0 - 1, c_0011_2 + 245224/109311*c_1001_0^10 - 94213/109311*c_1001_0^8 - 628480/109311*c_1001_0^6 + 924379/109311*c_1001_0^4 + 1920596/109311*c_1001_0^2 + 79066/109311, c_0011_4 - 2379464/109311*c_1001_0^11 + 568289/109311*c_1001_0^9 + 6192956/109311*c_1001_0^7 - 8146604/109311*c_1001_0^5 - 20193106/109311*c_1001_0^3 - 2464859/109311*c_1001_0, c_0101_0 - 16072/1317*c_1001_0^11 + 3889/1317*c_1001_0^9 + 41818/1317*c_1001_0^7 - 55447/1317*c_1001_0^5 - 135809/1317*c_1001_0^3 - 15841/1317*c_1001_0, c_0101_3 - 142088/36437*c_1001_0^10 + 46601/36437*c_1001_0^8 + 354512/36437*c_1001_0^6 - 509160/36437*c_1001_0^4 - 1138397/36437*c_1001_0^2 - 69584/36437, c_0110_5 - 574992/36437*c_1001_0^11 + 138098/36437*c_1001_0^9 + 1486108/36437*c_1001_0^7 - 1954553/36437*c_1001_0^5 - 4857700/36437*c_1001_0^3 - 632746/36437*c_1001_0, c_1001_0^12 - 1/8*c_1001_0^10 - 21/8*c_1001_0^8 + 25/8*c_1001_0^6 + 71/8*c_1001_0^4 + 2*c_1001_0^2 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB