Magma V2.19-8 Wed Aug 21 2013 00:57:15 on localhost [Seed = 1443908750] Type ? for help. Type -D to quit. Loading file "L13n4189__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4189 geometric_solution 11.91846510 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 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 -2 0 2 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 0.878920587040 1.007482176899 0 5 7 6 0132 0132 0132 0132 1 0 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 2 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 0.443578151489 1.031756182763 8 0 5 9 0132 0132 0321 0132 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 -1 0 1 0 0 4 -4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.941380153478 0.989685145832 8 10 11 0 3012 0132 0132 0132 1 0 1 1 0 0 0 0 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 0 0 0 1 0 1 -2 4 -4 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362961227692 0.437919230244 11 10 0 7 0132 1230 0132 0132 1 0 1 1 0 -1 0 1 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 4 1 -5 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539865989635 0.777891456250 12 1 2 9 0132 0132 0321 1230 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 0 0 0 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398258602449 0.677119985621 8 12 1 11 2031 1230 0132 0132 1 0 1 1 0 0 0 0 0 0 -1 1 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 1 -1 1 -1 0 0 -4 5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875992943602 0.772468603280 8 12 4 1 1023 0132 0132 0132 1 0 1 1 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 -5 5 0 -1 0 0 1 -1 1 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398265900172 0.555830313985 2 7 6 3 0132 1023 1302 1230 0 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 1 0 -1 0 0 4 -4 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365491569316 0.423783350040 5 11 2 10 3012 2103 0132 2103 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 -1 1 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.522322804008 0.818164722262 12 3 4 9 3012 0132 3012 2103 1 1 1 1 0 0 0 0 0 0 1 -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 0 0 -4 4 0 1 0 -1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.416040912423 1.282193575743 4 9 6 3 0132 2103 0132 0132 1 0 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 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 1.132531758281 1.055934521331 5 7 6 10 0132 0132 3012 1230 1 1 1 1 0 -1 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 0 0 5 -5 0 0 0 0 0 -4 4 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.332028280993 0.925562026289 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : negation(d['c_0011_6']), 'c_1001_5' : negation(d['c_0110_10']), 'c_1001_4' : d['c_0110_9'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0110_10']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : d['c_0011_11'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0110_9'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_9'], 'c_0101_11' : d['c_0101_11'], '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' : 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' : 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_11'], 'c_1100_8' : d['c_0101_0'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0110_9'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0110_10']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0110_9']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_0011_11'], 'c_1010_2' : d['c_0011_11'], 'c_1010_1' : negation(d['c_0110_10']), 'c_1010_0' : d['c_0110_9'], 'c_1010_9' : negation(d['c_1001_3']), 'c_1010_8' : d['c_0101_1'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0110_10'], 's_1_7' : negation(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' : 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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : negation(d['c_0011_6']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], '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_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0110_10, c_0110_9, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 323926/43775*c_1100_0^8 - 2312758/43775*c_1100_0^7 - 674208/8755*c_1100_0^6 + 5403783/43775*c_1100_0^5 + 14894172/43775*c_1100_0^4 + 2270662/43775*c_1100_0^3 - 1643532/8755*c_1100_0^2 + 7808754/43775*c_1100_0 + 10975949/43775, c_0011_0 - 1, c_0011_10 - 19/103*c_1100_0^8 + 3/103*c_1100_0^7 + 61/103*c_1100_0^6 + 19/103*c_1100_0^5 - 30/103*c_1100_0^4 + 46/103*c_1100_0^3 - 34/103*c_1100_0^2 + 37/103*c_1100_0 - 30/103, c_0011_11 - 325/103*c_1100_0^8 - 545/103*c_1100_0^7 + 729/103*c_1100_0^6 + 1664/103*c_1100_0^5 + 94/103*c_1100_0^4 + 467/103*c_1100_0^3 + 855/103*c_1100_0^2 + 42/103*c_1100_0 + 1227/103, c_0011_6 - 261/103*c_1100_0^8 - 425/103*c_1100_0^7 + 594/103*c_1100_0^6 + 1291/103*c_1100_0^5 + 27/103*c_1100_0^4 + 453/103*c_1100_0^3 + 731/103*c_1100_0^2 - 23/103*c_1100_0 + 954/103, c_0011_9 - 170/103*c_1100_0^8 - 293/103*c_1100_0^7 + 394/103*c_1100_0^6 + 891/103*c_1100_0^5 + 46/103*c_1100_0^4 + 211/103*c_1100_0^3 + 471/103*c_1100_0^2 - 43/103*c_1100_0 + 664/103, c_0101_0 - 1, c_0101_1 + 169/103*c_1100_0^8 + 304/103*c_1100_0^7 - 342/103*c_1100_0^6 - 890/103*c_1100_0^5 - 156/103*c_1100_0^4 - 317/103*c_1100_0^3 - 527/103*c_1100_0^2 - 96/103*c_1100_0 - 671/103, c_0101_10 - 464/103*c_1100_0^8 - 767/103*c_1100_0^7 + 1056/103*c_1100_0^6 + 2318/103*c_1100_0^5 + 48/103*c_1100_0^4 + 771/103*c_1100_0^3 + 1414/103*c_1100_0^2 - 18/103*c_1100_0 + 1799/103, c_0101_11 + 64/103*c_1100_0^8 + 120/103*c_1100_0^7 - 135/103*c_1100_0^6 - 373/103*c_1100_0^5 - 67/103*c_1100_0^4 - 14/103*c_1100_0^3 - 124/103*c_1100_0^2 - 65/103*c_1100_0 - 376/103, c_0110_10 + 325/103*c_1100_0^8 + 545/103*c_1100_0^7 - 729/103*c_1100_0^6 - 1664/103*c_1100_0^5 - 94/103*c_1100_0^4 - 467/103*c_1100_0^3 - 958/103*c_1100_0^2 - 42/103*c_1100_0 - 1227/103, c_0110_9 + 6/103*c_1100_0^8 + 37/103*c_1100_0^7 - 3/103*c_1100_0^6 - 109/103*c_1100_0^5 - 61/103*c_1100_0^4 + 18/103*c_1100_0^3 - 76/103*c_1100_0^2 + 10/103*c_1100_0 - 61/103, c_1001_3 + 66/103*c_1100_0^8 + 98/103*c_1100_0^7 - 136/103*c_1100_0^6 - 272/103*c_1100_0^5 - 53/103*c_1100_0^4 - 111/103*c_1100_0^3 - 115/103*c_1100_0^2 + 7/103*c_1100_0 - 156/103, c_1100_0^9 + 3*c_1100_0^8 - 8*c_1100_0^6 - 7*c_1100_0^5 - 2*c_1100_0^4 - 5*c_1100_0^3 - 4*c_1100_0^2 - 4*c_1100_0 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.330 Total time: 0.540 seconds, Total memory usage: 32.09MB