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Loading file "K11n121__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n121 geometric_solution 12.27094740 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 0 0 0 0 0 0 0 0 1 0 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 -1 1 9 0 0 -9 0 -1 0 1 -1 10 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.522024899319 0.927605021326 0 0 5 4 0132 1302 0132 0132 0 0 0 0 0 1 0 -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 0 9 0 -9 -9 0 0 9 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539238449903 0.818743948922 6 0 4 7 0132 0132 3012 0132 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 -10 0 10 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.837766460063 1.059043607470 6 8 7 0 2031 0132 0132 0132 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 -1 0 1 0 0 0 0 0 -9 0 9 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.226985828192 1.031954525798 6 2 1 9 1023 1230 0132 0132 0 0 0 0 0 0 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 0 0 0 0 0 0 0 9 -9 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.925057132718 0.938177459275 10 11 8 1 0132 0132 2103 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 -10 10 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 0.009133907928 1.337588203432 2 4 3 9 0132 1023 1302 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.573936191430 0.415264923100 11 12 2 3 3012 0132 0132 0132 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 1 0 -1 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428723820500 0.752430595185 5 3 12 10 2103 0132 0132 3201 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 1 0 -1 0 0 0 0 -10 1 0 9 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532412505338 0.804588022322 12 6 4 10 0213 1302 0132 0213 0 0 0 0 0 0 1 -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 0 9 -9 9 0 -9 0 -10 0 0 10 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414597032785 0.463608504172 5 8 11 9 0132 2310 1023 0213 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 -9 0 9 0 0 10 -10 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428020812337 0.864381656699 12 5 10 7 2310 0132 1023 1230 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 10 -10 0 0 0 0 0 10 0 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.269300743478 1.263286288693 9 7 11 8 0213 0132 3201 0132 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 0 0 0 10 0 -10 0 -9 0 0 9 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414597032785 0.463608504172 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : negation(d['c_0110_8']), 's_0_10' : 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_11'], 'c_0101_10' : d['c_0101_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_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' : 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_9' : negation(d['c_0110_8']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_8']), 'c_1100_4' : negation(d['c_0110_8']), 'c_1100_7' : negation(d['c_1001_4']), 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : negation(d['c_0110_8']), 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1001_4']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_3'], 'c_1100_10' : negation(d['c_0101_3']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : negation(d['c_0101_11']), 'c_1100_8' : negation(d['c_0011_10']), '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_10']), 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_12'], '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' : negation(d['c_0011_12']), '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_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0011_12'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0101_5'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_5']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_2']})} 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_12, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_5, c_0110_8, c_1001_0, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1718921/1777760*c_1001_4^7 - 326531/1777760*c_1001_4^6 - 2011351/888880*c_1001_4^5 + 4067839/1777760*c_1001_4^4 + 313563/111110*c_1001_4^3 - 1306421/177776*c_1001_4^2 + 1569081/355552*c_1001_4 - 672037/1777760, c_0011_0 - 1, c_0011_10 + 29/271*c_1001_4^7 + 46/271*c_1001_4^6 - 3/271*c_1001_4^5 + 44/271*c_1001_4^4 + 39/271*c_1001_4^3 - 194/271*c_1001_4^2 + 117/271*c_1001_4 + 105/271, c_0011_12 + 70/271*c_1001_4^7 + 83/271*c_1001_4^6 - 82/271*c_1001_4^5 - 62/271*c_1001_4^4 + 253/271*c_1001_4^3 + 27/271*c_1001_4^2 - 54/271*c_1001_4 - 382/271, c_0011_3 - 29/271*c_1001_4^7 - 46/271*c_1001_4^6 + 3/271*c_1001_4^5 - 44/271*c_1001_4^4 - 39/271*c_1001_4^3 + 194/271*c_1001_4^2 + 154/271*c_1001_4 - 105/271, c_0101_0 + 59/271*c_1001_4^7 + 159/271*c_1001_4^6 + 78/271*c_1001_4^5 - 60/271*c_1001_4^4 + 70/271*c_1001_4^3 + 166/271*c_1001_4^2 - 332/271*c_1001_4 - 291/271, c_0101_1 + 13/271*c_1001_4^7 + 58/271*c_1001_4^6 + 8/271*c_1001_4^5 - 27/271*c_1001_4^4 + 167/271*c_1001_4^3 + 156/271*c_1001_4^2 - 41/271*c_1001_4 - 9/271, c_0101_11 - 13/271*c_1001_4^7 - 58/271*c_1001_4^6 - 8/271*c_1001_4^5 + 27/271*c_1001_4^4 - 167/271*c_1001_4^3 - 156/271*c_1001_4^2 + 41/271*c_1001_4 + 9/271, c_0101_2 - 29/271*c_1001_4^7 - 46/271*c_1001_4^6 + 3/271*c_1001_4^5 - 44/271*c_1001_4^4 - 39/271*c_1001_4^3 + 194/271*c_1001_4^2 + 154/271*c_1001_4 - 105/271, c_0101_3 + 75/271*c_1001_4^7 + 147/271*c_1001_4^6 + 67/271*c_1001_4^5 + 11/271*c_1001_4^4 + 213/271*c_1001_4^3 - 184/271*c_1001_4^2 - 174/271*c_1001_4 - 177/271, c_0101_5 + 59/271*c_1001_4^7 + 159/271*c_1001_4^6 + 78/271*c_1001_4^5 - 60/271*c_1001_4^4 + 70/271*c_1001_4^3 - 105/271*c_1001_4^2 - 332/271*c_1001_4 - 20/271, c_0110_8 + 100/271*c_1001_4^7 + 196/271*c_1001_4^6 - 1/271*c_1001_4^5 - 166/271*c_1001_4^4 + 284/271*c_1001_4^3 + 116/271*c_1001_4^2 - 232/271*c_1001_4 - 507/271, c_1001_0 - 24/271*c_1001_4^7 + 18/271*c_1001_4^6 + 152/271*c_1001_4^5 + 29/271*c_1001_4^4 - 79/271*c_1001_4^3 + 254/271*c_1001_4^2 + 34/271*c_1001_4 - 171/271, c_1001_4^8 + c_1001_4^7 - 2*c_1001_4^6 - c_1001_4^5 + 4*c_1001_4^4 - 2*c_1001_4^3 - 3*c_1001_4^2 - c_1001_4 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.170 Total time: 2.379 seconds, Total memory usage: 64.12MB