Magma V2.19-8 Wed Aug 21 2013 00:57:08 on localhost [Seed = 3120538479] Type ? for help. Type -D to quit. Loading file "L13n3767__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3767 geometric_solution 12.60861626 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1023 1 1 1 1 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 -1 0 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 0.588317815301 0.854891568773 0 4 6 5 0132 0132 0132 0132 1 1 1 1 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 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 0.598288888037 1.170920950348 4 0 7 0 3120 0132 0132 1023 1 1 1 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 0 0 0 0 0 0 0 0 1 0 -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 0.588317815301 0.854891568773 8 6 7 0 0132 1023 0321 0132 1 1 1 1 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 -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 0.598288888037 1.170920950348 6 1 9 2 1302 0132 0132 3120 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.653969348293 0.677222237699 10 10 1 11 0132 1230 0132 0132 1 1 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399672555374 0.670675337513 3 4 7 1 1023 2031 2310 0132 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 0 0 0 0 0 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 -0.411682184699 0.854891568773 11 6 3 2 3201 3201 0321 0132 1 1 1 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 0 0 0 0 0 0 0 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 0 0 0 0.598288888037 1.170920950348 3 9 9 12 0132 3012 1023 0132 1 1 1 1 0 1 -1 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 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 0.399672555374 0.670675337513 8 10 8 4 1230 1302 1023 0132 1 1 1 1 0 0 0 0 0 0 1 -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 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 0.740963458123 0.827791435841 5 12 5 9 0132 0132 3012 2031 1 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 0 0 0 0 0 -1 0 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 0.344308460153 1.100291072978 12 12 5 7 0132 1302 0132 2310 1 1 1 0 0 0 0 0 0 0 0 0 -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 1 0 -1 0 0 0 0 0 1 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399672555374 0.670675337513 11 10 8 11 0132 0132 0132 2031 1 1 0 1 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 1 -1 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.740963458123 0.827791435841 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : d['c_0011_9'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0110_2']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0110_2'], 'c_1001_9' : d['c_0101_0'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0101_2']), 'c_1010_10' : d['c_0011_9'], 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0101_6'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_2']), 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : negation(d['c_1001_4']), 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_0110_2'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0110_2'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_0011_9'], 'c_1100_8' : d['c_0101_2'], 's_3_1' : negation(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_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_2'], 's_1_7' : d['1'], 's_1_6' : negation(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_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_9']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0110_2'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_6, c_0110_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 5984358713/112117669888*c_1001_4^9 - 6227817821/56058834944*c_1001_4^8 + 52312615/1751838592*c_1001_4^7 + 9011054553/28029417472*c_1001_4^6 + 35243488829/112117669888*c_1001_4^5 - 29293279123/28029417472*c_1001_4^4 - 33306465769/112117669888*c_1001_4^3 + 111249468621/56058834944*c_1001_4^2 + 11304020705/28029417472*c_1001_4 - 42626664251/56058834944, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 - 48097/558622*c_1001_4^9 - 172535/558622*c_1001_4^8 - 107836/279311*c_1001_4^7 - 15039/279311*c_1001_4^6 + 251181/558622*c_1001_4^5 - 527739/558622*c_1001_4^4 - 1014851/558622*c_1001_4^3 + 358957/558622*c_1001_4^2 + 176147/279311*c_1001_4 - 35192/279311, c_0011_7 + 48097/558622*c_1001_4^9 + 172535/558622*c_1001_4^8 + 107836/279311*c_1001_4^7 + 15039/279311*c_1001_4^6 - 251181/558622*c_1001_4^5 + 527739/558622*c_1001_4^4 + 1014851/558622*c_1001_4^3 - 358957/558622*c_1001_4^2 - 176147/279311*c_1001_4 + 35192/279311, c_0011_9 - 80253/558622*c_1001_4^9 - 78349/558622*c_1001_4^8 + 83218/279311*c_1001_4^7 + 184757/279311*c_1001_4^6 + 63337/558622*c_1001_4^5 - 1997695/558622*c_1001_4^4 + 1238999/558622*c_1001_4^3 + 1766931/558622*c_1001_4^2 - 399896/279311*c_1001_4 - 620420/279311, c_0101_0 + 11958/279311*c_1001_4^9 + 34009/558622*c_1001_4^8 - 8052/279311*c_1001_4^7 - 67296/279311*c_1001_4^6 - 75864/279311*c_1001_4^5 + 429763/558622*c_1001_4^4 - 103373/279311*c_1001_4^3 - 215987/558622*c_1001_4^2 - 205725/279311*c_1001_4 + 191426/279311, c_0101_1 - 16187/558622*c_1001_4^9 + 7265/558622*c_1001_4^8 + 70898/279311*c_1001_4^7 + 132158/279311*c_1001_4^6 + 105917/558622*c_1001_4^5 - 564779/558622*c_1001_4^4 + 293835/558622*c_1001_4^3 + 1067097/558622*c_1001_4^2 + 36268/279311*c_1001_4 - 365685/279311, c_0101_10 + 12521/558622*c_1001_4^9 + 4377/279311*c_1001_4^8 - 30563/279311*c_1001_4^7 - 77276/279311*c_1001_4^6 - 165065/558622*c_1001_4^5 + 86216/279311*c_1001_4^4 - 177075/558622*c_1001_4^3 - 281304/279311*c_1001_4^2 + 10753/279311*c_1001_4 + 58012/279311, c_0101_12 + c_1001_4, c_0101_2 - 11958/279311*c_1001_4^9 - 34009/558622*c_1001_4^8 + 8052/279311*c_1001_4^7 + 67296/279311*c_1001_4^6 + 75864/279311*c_1001_4^5 - 429763/558622*c_1001_4^4 + 103373/279311*c_1001_4^3 + 215987/558622*c_1001_4^2 + 205725/279311*c_1001_4 - 191426/279311, c_0101_6 + 1, c_0110_2 + 16187/558622*c_1001_4^9 - 7265/558622*c_1001_4^8 - 70898/279311*c_1001_4^7 - 132158/279311*c_1001_4^6 - 105917/558622*c_1001_4^5 + 564779/558622*c_1001_4^4 - 293835/558622*c_1001_4^3 - 1067097/558622*c_1001_4^2 - 36268/279311*c_1001_4 + 365685/279311, c_1001_4^10 + 4*c_1001_4^9 + 4*c_1001_4^8 - 4*c_1001_4^7 - 13*c_1001_4^6 + 10*c_1001_4^5 + 41*c_1001_4^4 - 16*c_1001_4^3 - 40*c_1001_4^2 - 2*c_1001_4 + 28 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.460 Total time: 0.670 seconds, Total memory usage: 32.09MB