Magma V2.19-8 Wed Aug 21 2013 00:57:54 on localhost [Seed = 2884481289] Type ? for help. Type -D to quit. Loading file "L13n4600__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4600 geometric_solution 11.75101997 oriented_manifold CS_known -0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 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 1 -1 0 0 0 0 0 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.195328242250 0.667168976303 0 5 6 5 0132 0132 0132 0213 0 1 1 1 0 1 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 -1 1 0 0 -1 1 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543530794425 0.782905821693 4 0 8 7 1023 0132 0132 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.026162865610 0.939460329677 9 8 6 0 0132 3120 3201 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 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 0.736466773944 0.610618900093 9 2 0 10 3201 1023 0132 0132 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 7 1 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526089600392 1.103216450285 9 1 11 1 2310 0132 0132 0213 0 1 1 1 0 -1 0 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 0 1 0 -7 8 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543530794425 0.782905821693 3 11 11 1 2310 0132 0321 0132 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 0 0 0 0 0 0 -1 0 1 -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 0.401639816553 0.861882483745 12 8 2 8 0132 3012 0132 1302 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 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 0.952107960358 0.635010924184 7 3 7 2 1230 3120 2031 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 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 -0.571657699569 0.911081363797 3 12 5 4 0132 0132 3201 2310 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 7 -7 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.269499745361 0.537543955425 12 12 4 11 2310 1302 0132 2310 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 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 0.835402864776 1.073976459078 10 6 6 5 3201 0132 0321 0132 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 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 0.401639816553 0.861882483745 7 9 10 10 0132 0132 3201 2031 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 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 0.641592064743 0.310057727651 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0101_7'], 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_12']), 'c_1001_7' : negation(d['c_0011_8']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_8']), 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : negation(d['c_0011_12']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_0011_10'], '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_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(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' : negation(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' : d['c_0011_12'], 'c_1100_5' : d['c_1001_5'], 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_1001_1'], 'c_1100_1' : d['c_1001_1'], 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : d['c_0101_8'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_0']), 'c_1100_11' : d['c_1001_5'], 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : negation(d['c_0011_8']), 'c_1010_2' : negation(d['c_0011_8']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_12']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0011_12']), 'c_1100_8' : d['c_0101_8'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(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' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_12']), '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_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_11']), 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : negation(d['c_0011_12']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_1']), 'c_0110_8' : negation(d['c_0011_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_0101_7'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_11'], '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_11, c_0011_12, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_7, c_0101_8, c_1001_1, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 22664269/3136000*c_1001_5^19 - 24911063/1568000*c_1001_5^18 + 35402211/3136000*c_1001_5^17 + 1302229/78400*c_1001_5^16 + 9785719/392000*c_1001_5^15 + 24720257/392000*c_1001_5^14 + 4955789/392000*c_1001_5^13 - 33446527/196000*c_1001_5^12 - 256744553/1568000*c_1001_5^11 - 3672709/784000*c_1001_5^10 + 21889781/44800*c_1001_5^9 + 40671693/98000*c_1001_5^8 - 13516807/49000*c_1001_5^7 - 35585199/78400*c_1001_5^6 + 4742649/196000*c_1001_5^5 + 2181159/39200*c_1001_5^4 + 164694571/627200*c_1001_5^3 + 245089113/1568000*c_1001_5^2 + 333490967/3136000*c_1001_5 + 14428859/392000, c_0011_0 - 1, c_0011_10 + 1/64*c_1001_5^17 + 1/64*c_1001_5^16 - 1/16*c_1001_5^15 - 1/32*c_1001_5^13 - 3/32*c_1001_5^12 + 3/16*c_1001_5^11 + 3/8*c_1001_5^10 - 1/16*c_1001_5^9 - 1/4*c_1001_5^8 - 19/16*c_1001_5^7 + 49/32*c_1001_5^5 + 11/32*c_1001_5^4 + 1/16*c_1001_5^3 + 1/8*c_1001_5^2 - 61/64*c_1001_5 - 1/64, c_0011_11 + 1/64*c_1001_5^19 + 1/32*c_1001_5^18 - 1/32*c_1001_5^17 - 1/64*c_1001_5^16 - 1/32*c_1001_5^15 - 3/16*c_1001_5^14 + 11/32*c_1001_5^12 + 3/16*c_1001_5^11 + 1/8*c_1001_5^10 - 11/16*c_1001_5^9 - 3/4*c_1001_5^8 + 17/32*c_1001_5^7 - 5/16*c_1001_5^6 - 1/4*c_1001_5^5 + 45/32*c_1001_5^4 - 13/64*c_1001_5^3 - 5/32*c_1001_5^2 - 1/32*c_1001_5 - 127/64, c_0011_12 - 1/16*c_1001_5^19 - 11/64*c_1001_5^18 + 1/16*c_1001_5^17 + 15/64*c_1001_5^16 + 5/32*c_1001_5^15 + 3/4*c_1001_5^14 + 11/32*c_1001_5^13 - 27/16*c_1001_5^12 - 63/32*c_1001_5^11 - 5/32*c_1001_5^10 + 119/32*c_1001_5^9 + 179/32*c_1001_5^8 - 69/32*c_1001_5^7 - 4*c_1001_5^6 + 5/32*c_1001_5^5 - 17/16*c_1001_5^4 + 17/32*c_1001_5^3 + 293/64*c_1001_5^2 + 7/32*c_1001_5 + 59/64, c_0011_8 - 3/32*c_1001_5^19 - 9/64*c_1001_5^18 + 3/16*c_1001_5^17 - 3/64*c_1001_5^16 + 15/32*c_1001_5^15 + 11/16*c_1001_5^14 - 7/32*c_1001_5^13 - 13/8*c_1001_5^12 - 31/32*c_1001_5^11 - 33/32*c_1001_5^10 + 185/32*c_1001_5^9 + 71/32*c_1001_5^8 - 23/32*c_1001_5^7 - 31/16*c_1001_5^6 - 81/32*c_1001_5^5 - 21/8*c_1001_5^4 + 117/16*c_1001_5^3 - 37/64*c_1001_5^2 + 121/32*c_1001_5 + 5/64, c_0101_0 + 1/64*c_1001_5^19 + 1/32*c_1001_5^18 - 1/32*c_1001_5^17 - 1/64*c_1001_5^16 - 1/32*c_1001_5^15 - 3/16*c_1001_5^14 + 11/32*c_1001_5^12 + 3/16*c_1001_5^11 + 1/8*c_1001_5^10 - 11/16*c_1001_5^9 - 3/4*c_1001_5^8 + 17/32*c_1001_5^7 - 5/16*c_1001_5^6 - 1/4*c_1001_5^5 + 45/32*c_1001_5^4 - 13/64*c_1001_5^3 - 5/32*c_1001_5^2 - 1/32*c_1001_5 - 127/64, c_0101_1 + 63/64*c_1001_5^19 + 127/64*c_1001_5^18 - 31/16*c_1001_5^17 - 2*c_1001_5^16 - 95/32*c_1001_5^15 - 253/32*c_1001_5^14 - 3/16*c_1001_5^13 + 189/8*c_1001_5^12 + 289/16*c_1001_5^11 - 15/4*c_1001_5^10 - 1069/16*c_1001_5^9 - 44*c_1001_5^8 + 1551/32*c_1001_5^7 + 1781/32*c_1001_5^6 - 257/16*c_1001_5^5 - 65/8*c_1001_5^4 - 2115/64*c_1001_5^3 - 895/64*c_1001_5^2 - 10*c_1001_5 - 2, c_0101_10 + 1/64*c_1001_5^18 + 1/64*c_1001_5^17 - 1/16*c_1001_5^16 - 1/32*c_1001_5^14 - 3/32*c_1001_5^13 + 3/16*c_1001_5^12 + 3/8*c_1001_5^11 - 1/16*c_1001_5^10 - 1/4*c_1001_5^9 - 19/16*c_1001_5^8 + 49/32*c_1001_5^6 + 11/32*c_1001_5^5 + 1/16*c_1001_5^4 + 1/8*c_1001_5^3 - 125/64*c_1001_5^2 - 1/64*c_1001_5, c_0101_11 - 1, c_0101_7 - 1/16*c_1001_5^19 - 5/64*c_1001_5^18 + 1/4*c_1001_5^17 + 5/64*c_1001_5^16 + 1/32*c_1001_5^15 + 3/8*c_1001_5^14 - 17/32*c_1001_5^13 - 7/4*c_1001_5^12 + 1/32*c_1001_5^11 + 53/32*c_1001_5^10 + 139/32*c_1001_5^9 - 1/32*c_1001_5^8 - 217/32*c_1001_5^7 - 15/8*c_1001_5^6 + 121/32*c_1001_5^5 + 1/4*c_1001_5^4 + 57/32*c_1001_5^3 + 27/64*c_1001_5^2 - 59/32*c_1001_5 - 3/64, c_0101_8 - 1/2*c_1001_5^19 - 27/32*c_1001_5^18 + 21/16*c_1001_5^17 + 21/32*c_1001_5^16 + 9/8*c_1001_5^15 + 29/8*c_1001_5^14 - 9/8*c_1001_5^13 - 191/16*c_1001_5^12 - 5*c_1001_5^11 + 75/16*c_1001_5^10 + 259/8*c_1001_5^9 + 85/8*c_1001_5^8 - 251/8*c_1001_5^7 - 141/8*c_1001_5^6 + 147/8*c_1001_5^5 - 25/16*c_1001_5^4 + 55/4*c_1001_5^3 + 85/32*c_1001_5^2 + 49/16*c_1001_5 - 9/32, c_1001_1 - 1, c_1001_5^20 + 2*c_1001_5^19 - 2*c_1001_5^18 - 2*c_1001_5^17 - 3*c_1001_5^16 - 8*c_1001_5^15 + 24*c_1001_5^13 + 18*c_1001_5^12 - 4*c_1001_5^11 - 68*c_1001_5^10 - 44*c_1001_5^9 + 50*c_1001_5^8 + 56*c_1001_5^7 - 16*c_1001_5^6 - 8*c_1001_5^5 - 35*c_1001_5^4 - 14*c_1001_5^3 - 10*c_1001_5^2 - 2*c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.330 Total time: 0.540 seconds, Total memory usage: 32.09MB