Magma V2.19-8 Wed Aug 21 2013 00:52:13 on localhost [Seed = 1764719665] Type ? for help. Type -D to quit. Loading file "L12a1061__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1061 geometric_solution 11.41527701 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 3 0132 0132 0132 2031 0 0 1 0 0 -1 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 0 -3 4 -1 4 0 0 -4 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395420283178 0.377046220515 0 3 5 4 0132 1023 0132 0132 0 0 0 1 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 3 0 -3 -4 0 0 4 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290334280659 0.785800724165 6 0 6 3 0132 0132 3012 1302 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 3 0 -3 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 0.586286847919 1.119730311430 1 0 2 0 1023 1302 2031 0132 0 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 0 0 0 0 0 0 0 0 4 0 -4 -3 0 3 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 1.279982072767 0.886001115803 7 7 1 8 0132 1302 0132 0132 0 0 1 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 0 0 0 0 0 0 -3 3 0 0 0 -4 4 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290334280659 0.785800724165 9 6 9 1 0132 3201 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.094446223749 1.975378698394 2 2 5 10 0132 1230 2310 0132 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 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 0.290334280659 0.785800724165 4 11 12 4 0132 0132 0132 2031 1 0 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 -4 4 0 0 0 -3 3 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.633003765546 0.700914252738 10 9 4 9 3201 0132 0132 1023 0 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 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 0 0 0 0 0.094446223749 1.975378698394 5 8 5 8 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252952206404 0.262221096287 12 11 6 8 0213 1230 0132 2310 1 1 0 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 1 -1 0 0 0 0 0 0 4 0 -4 -5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290334280659 0.785800724165 12 7 10 12 2031 0132 3012 3201 1 1 1 0 0 1 -1 0 0 0 0 0 1 0 0 -1 1 0 -1 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 5 0 0 -5 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.190866564741 0.742684090915 10 11 11 7 0213 2310 1302 0132 1 0 1 1 0 1 0 -1 0 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 5 -1 -4 0 0 -3 3 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471813410309 0.365609736085 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_0110_11'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : negation(d['c_0110_11']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : negation(d['c_0110_11']), 'c_1010_11' : negation(d['c_0110_11']), 'c_1010_10' : d['c_0101_11'], 's_3_11' : 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_0011_10'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_12'], '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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0101_3'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_1100_1']), 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : d['c_0011_5'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_11']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_0101_5'], 'c_1100_8' : d['c_1100_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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_11'], '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_5']), 'c_0011_8' : d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0101_7']), 'c_0110_12' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_1']), '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_0011_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : negation(d['c_0101_11']), '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_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0011_12'], '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_12, c_0011_5, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_5, c_0101_7, c_0110_11, c_1001_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 2346800501/1032850598*c_1100_1^19 + 10314681355/13427057774*c_1100_1^18 + 16173928176/516425299*c_1100_1^17 + 65041403728/6713528887*c_1100_1^16 + 364564572525/2065701196*c_1100_1^15 + 1268516952493/26854115548*c_1100_1^14 + 267832933390/516425299*c_1100_1^13 + 2800863162875/26854115548*c_1100_1^12 + 1712487052261/2065701196*c_1100_1^11 + 1649035061495/26854115548*c_1100_1^10 + 1304112467007/2065701196*c_1100_1^9 - 2517729583937/13427057774*c_1100_1^8 - 20070103551/1032850598*c_1100_1^7 - 12577395796239/26854115548*c_1100_1^6 - 453261060523/1032850598*c_1100_1^5 - 3293484411784/6713528887*c_1100_1^4 - 644248870975/2065701196*c_1100_1^3 - 6816100525885/26854115548*c_1100_1^2 - 70366924365/1032850598*c_1100_1 - 1376284901533/26854115548, c_0011_0 - 1, c_0011_10 + 1/4*c_1100_1^17 + 1/4*c_1100_1^16 + 11/4*c_1100_1^15 + 5/2*c_1100_1^14 + 47/4*c_1100_1^13 + 19/2*c_1100_1^12 + 49/2*c_1100_1^11 + 17*c_1100_1^10 + 103/4*c_1100_1^9 + 29/2*c_1100_1^8 + 25/2*c_1100_1^7 + 19/4*c_1100_1^6 + 11/4*c_1100_1^5 - c_1100_1^4 + 19/4*c_1100_1^3 + 5/4*c_1100_1^2 + 7/2*c_1100_1 + 1, c_0011_12 + 1/2*c_1100_1^19 + 1/2*c_1100_1^18 + 6*c_1100_1^17 + 23/4*c_1100_1^16 + 29*c_1100_1^15 + 53/2*c_1100_1^14 + 289/4*c_1100_1^13 + 251/4*c_1100_1^12 + 395/4*c_1100_1^11 + 163/2*c_1100_1^10 + 72*c_1100_1^9 + 225/4*c_1100_1^8 + 95/4*c_1100_1^7 + 17*c_1100_1^6 + 27/4*c_1100_1^5 + 6*c_1100_1^4 + 47/4*c_1100_1^3 + 35/4*c_1100_1^2 + 13/2*c_1100_1 + 13/4, c_0011_5 + 1/2*c_1100_1^19 - c_1100_1^18 + 23/4*c_1100_1^17 - 23/2*c_1100_1^16 + 53/2*c_1100_1^15 - 211/4*c_1100_1^14 + 251/4*c_1100_1^13 - 493/4*c_1100_1^12 + 163/2*c_1100_1^11 - 156*c_1100_1^10 + 225/4*c_1100_1^9 - 415/4*c_1100_1^8 + 17*c_1100_1^7 - 121/4*c_1100_1^6 + 6*c_1100_1^5 - 47/4*c_1100_1^4 + 35/4*c_1100_1^3 - 33/2*c_1100_1^2 + 13/4*c_1100_1 - 13/2, c_0101_0 - 1, c_0101_1 - 1/4*c_1100_1^19 + 1/2*c_1100_1^18 - 3*c_1100_1^17 + 6*c_1100_1^16 - 29/2*c_1100_1^15 + 29*c_1100_1^14 - 36*c_1100_1^13 + 289/4*c_1100_1^12 - 193/4*c_1100_1^11 + 395/4*c_1100_1^10 - 65/2*c_1100_1^9 + 72*c_1100_1^8 - 15/2*c_1100_1^7 + 95/4*c_1100_1^6 - 3/2*c_1100_1^5 + 27/4*c_1100_1^4 - 23/4*c_1100_1^3 + 47/4*c_1100_1^2 - 11/4*c_1100_1 + 11/2, c_0101_11 - 1/4*c_1100_1^17 + 1/4*c_1100_1^16 - 11/4*c_1100_1^15 + 5/2*c_1100_1^14 - 47/4*c_1100_1^13 + 19/2*c_1100_1^12 - 49/2*c_1100_1^11 + 17*c_1100_1^10 - 103/4*c_1100_1^9 + 29/2*c_1100_1^8 - 25/2*c_1100_1^7 + 19/4*c_1100_1^6 - 7/4*c_1100_1^5 - c_1100_1^4 - 7/4*c_1100_1^3 + 5/4*c_1100_1^2 - 5/2*c_1100_1 + 1, c_0101_3 - 1/4*c_1100_1^19 + 1/2*c_1100_1^18 - 3*c_1100_1^17 + 6*c_1100_1^16 - 29/2*c_1100_1^15 + 29*c_1100_1^14 - 36*c_1100_1^13 + 289/4*c_1100_1^12 - 193/4*c_1100_1^11 + 395/4*c_1100_1^10 - 65/2*c_1100_1^9 + 72*c_1100_1^8 - 15/2*c_1100_1^7 + 95/4*c_1100_1^6 - 3/2*c_1100_1^5 + 27/4*c_1100_1^4 - 23/4*c_1100_1^3 + 47/4*c_1100_1^2 - 15/4*c_1100_1 + 11/2, c_0101_5 + 1/4*c_1100_1^19 - 1/2*c_1100_1^18 + 11/4*c_1100_1^17 - 11/2*c_1100_1^16 + 12*c_1100_1^15 - 95/4*c_1100_1^14 + 107/4*c_1100_1^13 - 51*c_1100_1^12 + 133/4*c_1100_1^11 - 229/4*c_1100_1^10 + 95/4*c_1100_1^9 - 127/4*c_1100_1^8 + 19/2*c_1100_1^7 - 13/2*c_1100_1^6 + 9/2*c_1100_1^5 - 5*c_1100_1^4 + 3*c_1100_1^3 - 23/4*c_1100_1^2 + 3/2*c_1100_1 - 1, c_0101_7 + 1/4*c_1100_1^18 + 1/2*c_1100_1^17 + 5/2*c_1100_1^16 + 21/4*c_1100_1^15 + 37/4*c_1100_1^14 + 85/4*c_1100_1^13 + 15*c_1100_1^12 + 83/2*c_1100_1^11 + 35/4*c_1100_1^10 + 161/4*c_1100_1^9 - 2*c_1100_1^8 + 69/4*c_1100_1^7 - 2*c_1100_1^6 + 3/4*c_1100_1^5 + 23/4*c_1100_1^4 + 3*c_1100_1^3 + 9/4*c_1100_1^2 + 7/2*c_1100_1 - 1, c_0110_11 + 1/2*c_1100_1^19 + 6*c_1100_1^17 + 29*c_1100_1^15 + 72*c_1100_1^13 + 1/2*c_1100_1^12 + 193/2*c_1100_1^11 + 7/2*c_1100_1^10 + 65*c_1100_1^9 + 8*c_1100_1^8 + 15*c_1100_1^7 + 13/2*c_1100_1^6 + 3*c_1100_1^5 + 3/2*c_1100_1^4 + 23/2*c_1100_1^3 - 1/2*c_1100_1^2 + 11/2*c_1100_1, c_1001_0 - 9/26*c_1100_1^19 - 1/4*c_1100_1^18 - 113/26*c_1100_1^17 - 3*c_1100_1^16 - 573/26*c_1100_1^15 - 29/2*c_1100_1^14 - 748/13*c_1100_1^13 - 36*c_1100_1^12 - 4235/52*c_1100_1^11 - 193/4*c_1100_1^10 - 3073/52*c_1100_1^9 - 65/2*c_1100_1^8 - 423/26*c_1100_1^7 - 15/2*c_1100_1^6 - 97/52*c_1100_1^5 - 3/2*c_1100_1^4 - 495/52*c_1100_1^3 - 23/4*c_1100_1^2 - 217/52*c_1100_1 - 11/4, c_1100_1^20 + 14*c_1100_1^18 + 81*c_1100_1^16 + 250*c_1100_1^14 + 444*c_1100_1^12 + 456*c_1100_1^10 + 255*c_1100_1^8 + 74*c_1100_1^6 + 47*c_1100_1^4 + 46*c_1100_1^2 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB