Magma V2.19-8 Wed Aug 21 2013 01:02:13 on localhost [Seed = 3086068751] Type ? for help. Type -D to quit. Loading file "L14n14189__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14189 geometric_solution 12.23225928 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 0321 0132 1 1 1 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 1 0 -1 1 0 -1 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 0.823349600283 0.595067910931 0 2 5 4 0132 2310 0132 0132 0 1 0 1 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 -1 0 1 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 1.256273001553 0.967772274255 5 0 0 1 1302 0132 0321 3201 1 0 0 1 0 0 0 0 1 0 -1 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 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.823349600283 0.595067910931 6 7 0 7 0132 0132 0132 0213 1 1 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 0 1 -1 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.231348773636 0.887315286760 6 8 1 9 1230 0132 0132 0132 0 1 1 0 0 0 1 -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 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 0.301459504710 0.696996655887 6 2 8 1 3120 2031 0132 0132 0 1 1 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 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 0.134662902511 0.564484812553 3 4 10 5 0132 3012 0132 3120 0 1 1 1 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 0 0 0 0 0 0.433503623762 0.779420329749 9 3 11 3 0213 0132 0132 0213 1 1 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 -1 1 0 0 6 -6 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.231348773636 0.887315286760 11 4 12 5 0132 0132 0132 0132 0 1 0 1 0 0 0 0 0 0 0 0 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 0 0 0 1 0 0 -1 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.014522332964 1.011226825363 7 10 4 12 0213 0213 0132 0132 0 1 1 1 0 -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 -1 1 0 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.828378448345 0.959255147171 12 11 9 6 0132 3120 0213 0132 0 1 1 1 0 0 1 -1 0 0 0 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 1 -1 0 0 0 0 -7 7 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.891107065557 0.604802045504 8 10 12 7 0132 3120 2310 0132 1 1 1 0 0 1 -1 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 6 -7 1 -1 0 7 -6 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.377840726822 0.637011371894 10 11 9 8 0132 3201 0132 0132 0 1 1 1 0 0 0 0 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 0 0 0 0 0 0 0 0 7 0 -7 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.844628605496 0.729920184442 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : negation(d['c_1001_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0110_2']), 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_1001_10'], 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_3_10' : 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_0011_9'], '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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0110_2']), '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_1100_1'], '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_9'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(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_0011_9'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0011_9'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_12'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_5'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : d['c_0011_9'], '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' : d['c_0101_11'], 'c_0110_1' : d['c_0011_5'], 'c_1100_9' : d['c_1100_1'], 'c_0110_3' : d['c_0101_12'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : negation(d['c_0101_12']), 'c_1100_8' : d['c_1100_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_0011_9, c_0101_1, c_0101_11, c_0101_12, c_0110_2, c_1001_10, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - c_1100_1^3 - c_1100_1 + 2, c_0011_0 - 1, c_0011_10 - 1/4*c_1100_1^3 + 3/4*c_1100_1^2 - 1/2*c_1100_1 + 1/4, c_0011_11 + 1, c_0011_3 + 1/4*c_1100_1^3 + 1/4*c_1100_1^2 - 1/2*c_1100_1 - 1/4, c_0011_5 + c_1100_1^2, c_0011_9 - 1/4*c_1100_1^3 - 1/4*c_1100_1^2 + 1/2*c_1100_1 - 3/4, c_0101_1 - 1, c_0101_11 - c_1100_1^3 + c_1100_1^2 - c_1100_1, c_0101_12 - 3/4*c_1100_1^3 + 1/4*c_1100_1^2 - 1/2*c_1100_1 - 1/4, c_0110_2 + c_1100_1^2 - c_1100_1, c_1001_10 + c_1100_1^3 + 1, c_1001_2 + 1/2*c_1100_1^3 - 1/2*c_1100_1^2 + 1/2, c_1100_1^4 + c_1100_1^2 + c_1100_1 + 1 ], 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_0011_9, c_0101_1, c_0101_11, c_0101_12, c_0110_2, c_1001_10, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 137453/808220*c_1100_1^11 + 74527/161644*c_1100_1^10 - 5279/35140*c_1100_1^9 - 459971/808220*c_1100_1^8 + 432793/808220*c_1100_1^7 + 295121/404110*c_1100_1^6 - 86413/161644*c_1100_1^5 - 8018/5773*c_1100_1^4 - 336599/808220*c_1100_1^3 + 10935/23092*c_1100_1^2 + 146439/115460*c_1100_1 + 29653/115460, c_0011_0 - 1, c_0011_10 - 63/251*c_1100_1^11 + 423/251*c_1100_1^10 - 808/251*c_1100_1^9 + 219/251*c_1100_1^8 + 303/251*c_1100_1^7 + 641/251*c_1100_1^6 - 511/251*c_1100_1^5 - 309/251*c_1100_1^4 - 679/251*c_1100_1^3 + 839/251*c_1100_1^2 + 290/251*c_1100_1 - 572/251, c_0011_11 - 158/251*c_1100_1^11 + 272/251*c_1100_1^10 + 631/251*c_1100_1^9 - 897/251*c_1100_1^8 - 1021/251*c_1100_1^7 + 249/251*c_1100_1^6 + 1340/251*c_1100_1^5 + 1245/251*c_1100_1^4 - 671/251*c_1100_1^3 - 1621/251*c_1100_1^2 + 50/251*c_1100_1 + 940/251, c_0011_3 - 27/251*c_1100_1^11 + 253/251*c_1100_1^10 - 669/251*c_1100_1^9 + 309/251*c_1100_1^8 + 596/251*c_1100_1^7 + 203/251*c_1100_1^6 - 721/251*c_1100_1^5 - 742/251*c_1100_1^4 - 40/251*c_1100_1^3 + 1005/251*c_1100_1^2 + 447/251*c_1100_1 - 783/251, c_0011_5 + 152/251*c_1100_1^11 - 411/251*c_1100_1^10 - 194/251*c_1100_1^9 + 882/251*c_1100_1^8 + 512/251*c_1100_1^7 - 678/251*c_1100_1^6 - 1054/251*c_1100_1^5 - 378/251*c_1100_1^4 + 941/251*c_1100_1^3 + 1175/251*c_1100_1^2 - 620/251*c_1100_1 - 863/251, c_0011_9 - 93/251*c_1100_1^11 + 230/251*c_1100_1^10 + 122/251*c_1100_1^9 - 358/251*c_1100_1^8 - 485/251*c_1100_1^7 + 253/251*c_1100_1^6 + 668/251*c_1100_1^5 + 512/251*c_1100_1^4 - 584/251*c_1100_1^3 - 638/251*c_1100_1^2 - 50/251*c_1100_1 + 566/251, c_0101_1 - 1, c_0101_11 - 45/251*c_1100_1^11 + 87/251*c_1100_1^10 + 140/251*c_1100_1^9 - 238/251*c_1100_1^8 - 178/251*c_1100_1^7 - 80/251*c_1100_1^6 + 388/251*c_1100_1^5 + 353/251*c_1100_1^4 - 234/251*c_1100_1^3 - 333/251*c_1100_1^2 - 8/251*c_1100_1 + 201/251, c_0101_12 + 152/251*c_1100_1^11 - 662/251*c_1100_1^10 + 810/251*c_1100_1^9 + 129/251*c_1100_1^8 - 492/251*c_1100_1^7 - 427/251*c_1100_1^6 + 201/251*c_1100_1^5 + 626/251*c_1100_1^4 + 439/251*c_1100_1^3 - 833/251*c_1100_1^2 - 871/251*c_1100_1 + 894/251, c_0110_2 + 152/251*c_1100_1^11 - 411/251*c_1100_1^10 - 194/251*c_1100_1^9 + 882/251*c_1100_1^8 + 512/251*c_1100_1^7 - 678/251*c_1100_1^6 - 1054/251*c_1100_1^5 - 378/251*c_1100_1^4 + 941/251*c_1100_1^3 + 1175/251*c_1100_1^2 - 871/251*c_1100_1 - 863/251, c_1001_10 - 167/251*c_1100_1^11 + 440/251*c_1100_1^10 + 157/251*c_1100_1^9 - 794/251*c_1100_1^8 - 404/251*c_1100_1^7 + 484/251*c_1100_1^6 + 765/251*c_1100_1^5 + 412/251*c_1100_1^4 - 768/251*c_1100_1^3 - 784/251*c_1100_1^2 + 701/251*c_1100_1 + 428/251, c_1001_2 + 5/251*c_1100_1^11 - 177/251*c_1100_1^10 + 598/251*c_1100_1^9 - 364/251*c_1100_1^8 - 538/251*c_1100_1^7 - 19/251*c_1100_1^6 + 682/251*c_1100_1^5 + 407/251*c_1100_1^4 + 26/251*c_1100_1^3 - 967/251*c_1100_1^2 - 278/251*c_1100_1 + 898/251, c_1100_1^12 - 4*c_1100_1^11 + 2*c_1100_1^10 + 8*c_1100_1^9 - 4*c_1100_1^8 - 9*c_1100_1^7 - 3*c_1100_1^6 + 7*c_1100_1^5 + 11*c_1100_1^4 - 14*c_1100_1^2 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.500 seconds, Total memory usage: 32.09MB