Magma V2.19-8 Wed Aug 21 2013 00:53:45 on localhost [Seed = 3651128401] Type ? for help. Type -D to quit. Loading file "L12n1897__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1897 geometric_solution 12.76826880 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 0 1 2 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409242474094 0.943027958489 0 4 4 5 0132 0132 1302 0132 0 1 1 2 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 0 0 -1 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 0.612746233559 0.892358813909 0 0 6 5 3012 0132 0132 2031 0 0 1 2 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 1 0 -1 -1 0 1 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 0.477072878934 0.761552825555 7 8 4 0 0132 0132 0321 0132 0 1 1 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 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 0.646338773138 0.691138623405 1 1 3 9 2031 0132 0321 0132 0 0 2 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 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 0.477072878934 0.761552825555 7 2 1 10 2103 1302 0132 0132 0 1 0 1 0 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 0 0 0 0 0 0 0 0 -1 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 0.586747234619 1.146644430378 11 11 9 2 0132 1230 1230 0132 0 0 2 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 1 0 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 0.361774815851 0.878852787092 3 8 5 10 0132 0213 2103 2103 0 1 0 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.129377108357 0.527982906135 10 3 7 11 0321 0132 0213 0213 0 0 0 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 0 0 0 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 0.382125997572 0.675130451133 12 12 4 6 0132 1302 0132 3012 0 0 0 2 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.361774815851 0.878852787092 8 12 5 7 0321 3201 0132 2103 0 1 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 1 -1 0 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 0.365050835697 1.121811963765 6 12 6 8 0132 0132 3012 0213 0 0 0 2 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 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599480195446 0.972975262776 9 11 10 9 0132 0132 2310 2031 0 0 2 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 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541000104032 0.744971306452 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : d['c_0110_2'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : d['c_0101_9'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : d['c_0101_9'], 'c_1001_8' : d['c_0011_5'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_1001_12'], 'c_1010_10' : negation(d['c_1001_12']), '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'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_3'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_12'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_1001_3'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : d['c_0101_12'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0101_12'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_3'], 'c_1100_10' : negation(d['c_0101_3']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : negation(d['c_0101_12']), 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_1001_3'], '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' : d['c_0011_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_11']), '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_0011_10'], 'c_0110_10' : d['c_0011_3'], 'c_0110_12' : d['c_0101_9'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_11'], 's_2_9' : d['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_11, c_0011_3, c_0011_5, c_0101_0, c_0101_11, c_0101_12, c_0101_3, c_0101_9, c_0110_2, c_1001_12, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 35489465/638976*c_1001_3^6 - 322448051/319488*c_1001_3^5 - 3907951019/638976*c_1001_3^4 - 846768791/79872*c_1001_3^3 - 512403503/49152*c_1001_3^2 - 1527694153/319488*c_1001_3 - 280047491/212992, c_0011_0 - 1, c_0011_10 - 187/2496*c_1001_3^6 - 3365/2496*c_1001_3^5 - 9941/1248*c_1001_3^4 - 15139/1248*c_1001_3^3 - 1507/192*c_1001_3^2 - 205/2496*c_1001_3 + 147/208, c_0011_11 + 5/2496*c_1001_3^6 - 31/832*c_1001_3^5 - 439/416*c_1001_3^4 - 2745/416*c_1001_3^3 - 449/64*c_1001_3^2 - 9701/2496*c_1001_3 + 209/624, c_0011_3 - 35/1248*c_1001_3^6 - 623/1248*c_1001_3^5 - 1805/624*c_1001_3^4 - 2545/624*c_1001_3^3 - 235/96*c_1001_3^2 + 475/416*c_1001_3 + 227/312, c_0011_5 - 1, c_0101_0 - 1, c_0101_11 - 59/1248*c_1001_3^6 - 1045/1248*c_1001_3^5 - 3013/624*c_1001_3^4 - 4331/624*c_1001_3^3 - 611/96*c_1001_3^2 - 1613/1248*c_1001_3 + 3/104, c_0101_12 - c_1001_3, c_0101_3 + 1, c_0101_9 - 59/1248*c_1001_3^6 - 1045/1248*c_1001_3^5 - 3013/624*c_1001_3^4 - 4331/624*c_1001_3^3 - 611/96*c_1001_3^2 - 1613/1248*c_1001_3 + 3/104, c_0110_2 - 59/1248*c_1001_3^6 - 1045/1248*c_1001_3^5 - 3013/624*c_1001_3^4 - 4331/624*c_1001_3^3 - 611/96*c_1001_3^2 - 1613/1248*c_1001_3 - 101/104, c_1001_12 + 37/2496*c_1001_3^6 + 197/832*c_1001_3^5 + 433/416*c_1001_3^4 - 293/416*c_1001_3^3 - 177/64*c_1001_3^2 - 6361/2496*c_1001_3 + 517/624, c_1001_3^7 + 18*c_1001_3^6 + 107*c_1001_3^5 + 172*c_1001_3^4 + 155*c_1001_3^3 + 54*c_1001_3^2 + 9*c_1001_3 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB