Magma V2.19-8 Tue Aug 20 2013 23:57:36 on localhost [Seed = 2193943118] Type ? for help. Type -D to quit. Loading file "L14n33025__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33025 geometric_solution 10.49594622 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 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 1 0 -1 -1 0 3 -2 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402041499151 0.747372794636 0 5 2 3 0132 0132 3201 3201 0 1 1 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 0 -3 3 1 0 0 -1 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.072029139754 1.199417474196 1 0 6 5 2310 0132 0132 3012 1 0 1 0 0 0 0 0 -1 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 -1 0 1 4 0 -4 0 0 0 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.249714225425 0.688612736385 5 1 6 0 0132 2310 0321 0132 1 1 1 0 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 3 -3 -1 1 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402041499151 0.747372794636 5 7 0 8 3120 0132 0132 0132 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 0 0 0 0 0 0 1 -1 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.553723608322 0.845324310045 3 1 2 4 0132 0132 1230 3120 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 0 0 0 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 0.249714225425 0.688612736385 7 9 3 2 0321 0132 0321 0132 1 0 0 1 0 0 0 0 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 -1 0 -3 4 0 1 0 -1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488408562188 0.925129893829 6 4 8 9 0321 0132 2103 0132 1 1 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 -3 0 0 3 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.740705161317 1.140229748241 7 9 4 10 2103 1023 0132 0132 1 1 1 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 0 0 2 -2 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.955716184137 0.623023356886 8 6 7 10 1023 0132 0132 3120 1 1 1 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 1 0 -3 2 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.265710067032 0.478677442696 9 11 8 11 3120 0132 0132 2310 1 1 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.172626132491 0.369180624972 10 10 11 11 3201 0132 2031 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 0.641532432306 0.257332874685 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_11']), 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_2'], 'c_1001_8' : negation(d['c_0011_6']), 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : negation(d['c_0110_11']), 's_0_10' : d['1'], 's_3_10' : 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' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : 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' : negation(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_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_1001_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0101_11']), 'c_1100_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_6']), 'c_0011_8' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], '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' : d['c_0101_3'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0011_4']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0110_11, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 831200879469712/612077277*c_1001_3^17 + 22400797014155968/5508695493*c_1001_3^16 + 33463106975494564/5508695493*c_1001_3^15 - 160155680807263940/5508695493*c_1001_3^14 - 3411502254142433/1836231831*c_1001_3^13 + 471687092114740780/5508695493*c_1001_3^12 - 223679099595357341/5508695493*c_1001_3^11 - 711311113813361528/5508695493*c_1001_3^10 + 22716643244502457/204025759*c_1001_3^9 + 24592533362875907/262318833*c_1001_3^8 - 82298253331682384/612077277*c_1001_3^7 - 5984640452243690/612077277*c_1001_3^6 + 425292815504678101/5508695493*c_1001_3^5 - 22218010201387603/786956499*c_1001_3^4 - 23741423920804690/1836231831*c_1001_3^3 + 22964964403794181/1836231831*c_1001_3^2 - 6503573464747571/1836231831*c_1001_3 + 1978947070909699/5508695493, c_0011_0 - 1, c_0011_10 - 16*c_1001_3^17 + 48*c_1001_3^16 + 68*c_1001_3^15 - 336*c_1001_3^14 + c_1001_3^13 + 957*c_1001_3^12 - 535*c_1001_3^11 - 1356*c_1001_3^10 + 1367*c_1001_3^9 + 825*c_1001_3^8 - 1563*c_1001_3^7 + 146*c_1001_3^6 + 809*c_1001_3^5 - 452*c_1001_3^4 - 65*c_1001_3^3 + 156*c_1001_3^2 - 69*c_1001_3 + 12, c_0011_4 - c_1001_3^2 + 1, c_0011_6 - 1008*c_1001_3^17 + 2864*c_1001_3^16 + 4748*c_1001_3^15 - 20440*c_1001_3^14 - 3229*c_1001_3^13 + 59965*c_1001_3^12 - 24134*c_1001_3^11 - 89821*c_1001_3^10 + 72026*c_1001_3^9 + 64289*c_1001_3^8 - 88852*c_1001_3^7 - 5607*c_1001_3^6 + 50864*c_1001_3^5 - 20240*c_1001_3^4 - 7806*c_1001_3^3 + 8724*c_1001_3^2 - 2726*c_1001_3 + 310, c_0101_0 - 1, c_0101_1 - c_1001_3, c_0101_10 + 22864*c_1001_3^17 - 61280*c_1001_3^16 - 116980*c_1001_3^15 + 443228*c_1001_3^14 + 141559*c_1001_3^13 - 1325954*c_1001_3^12 + 337933*c_1001_3^11 + 2057188*c_1001_3^10 - 1294805*c_1001_3^9 - 1611806*c_1001_3^8 + 1723583*c_1001_3^7 + 359481*c_1001_3^6 - 1051167*c_1001_3^5 + 302777*c_1001_3^4 + 197004*c_1001_3^3 - 160064*c_1001_3^2 + 42655*c_1001_3 - 4158, c_0101_11 - 45024*c_1001_3^17 + 116480*c_1001_3^16 + 239784*c_1001_3^15 - 847208*c_1001_3^14 - 349110*c_1001_3^13 + 2554208*c_1001_3^12 - 445877*c_1001_3^11 - 4016663*c_1001_3^10 + 2184169*c_1001_3^9 + 3251407*c_1001_3^8 - 3059659*c_1001_3^7 - 878302*c_1001_3^6 + 1925199*c_1001_3^5 - 465534*c_1001_3^4 - 384325*c_1001_3^3 + 279693*c_1001_3^2 - 70481*c_1001_3 + 6550, c_0101_3 + 16*c_1001_3^17 - 48*c_1001_3^16 - 68*c_1001_3^15 + 336*c_1001_3^14 - c_1001_3^13 - 957*c_1001_3^12 + 535*c_1001_3^11 + 1356*c_1001_3^10 - 1367*c_1001_3^9 - 825*c_1001_3^8 + 1563*c_1001_3^7 - 146*c_1001_3^6 - 809*c_1001_3^5 + 452*c_1001_3^4 + 65*c_1001_3^3 - 156*c_1001_3^2 + 68*c_1001_3 - 12, c_0110_11 - 40160*c_1001_3^17 + 102320*c_1001_3^16 + 217032*c_1001_3^15 - 745412*c_1001_3^14 - 335058*c_1001_3^13 + 2251981*c_1001_3^12 - 323475*c_1001_3^11 - 3554227*c_1001_3^10 + 1823556*c_1001_3^9 + 2902569*c_1001_3^8 - 2612584*c_1001_3^7 - 821392*c_1001_3^6 + 1662940*c_1001_3^5 - 379915*c_1001_3^4 - 337709*c_1001_3^3 + 238927*c_1001_3^2 - 59410*c_1001_3 + 5462, c_1001_2 + 16*c_1001_3^17 - 48*c_1001_3^16 - 68*c_1001_3^15 + 336*c_1001_3^14 - c_1001_3^13 - 957*c_1001_3^12 + 535*c_1001_3^11 + 1356*c_1001_3^10 - 1367*c_1001_3^9 - 825*c_1001_3^8 + 1563*c_1001_3^7 - 146*c_1001_3^6 - 809*c_1001_3^5 + 452*c_1001_3^4 + 65*c_1001_3^3 - 156*c_1001_3^2 + 68*c_1001_3 - 12, c_1001_3^18 - 3*c_1001_3^17 - 17/4*c_1001_3^16 + 21*c_1001_3^15 - 1/16*c_1001_3^14 - 957/16*c_1001_3^13 + 535/16*c_1001_3^12 + 339/4*c_1001_3^11 - 1367/16*c_1001_3^10 - 825/16*c_1001_3^9 + 1563/16*c_1001_3^8 - 73/8*c_1001_3^7 - 809/16*c_1001_3^6 + 113/4*c_1001_3^5 + 65/16*c_1001_3^4 - 39/4*c_1001_3^3 + 67/16*c_1001_3^2 - 13/16*c_1001_3 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.350 seconds, Total memory usage: 32.09MB