Magma V2.19-8 Wed Aug 21 2013 01:05:36 on localhost [Seed = 1613134046] Type ? for help. Type -D to quit. Loading file "L14n26596__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n26596 geometric_solution 11.92625348 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 2310 0132 1 0 0 1 0 0 0 0 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 -1 -7 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.741467138376 0.554944697528 0 0 2 3 0132 3201 2103 2103 1 0 1 0 0 1 0 -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 -8 0 8 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 0.689783592111 1.480630912758 1 0 5 4 2103 0132 0132 0132 1 0 1 0 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 1 0 -1 0 0 0 0 0 7 0 -7 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535771425732 0.471583134561 4 6 0 1 0132 0132 0132 2103 1 0 1 0 0 0 0 0 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 0 0 0 1 0 -1 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535771425732 0.471583134561 3 7 2 8 0132 0132 0132 0132 1 0 0 1 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 1 -1 -1 0 0 1 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.447554649172 1.330792418091 8 6 9 2 0132 0321 0132 0132 1 0 0 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 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 0.498806957300 0.932827973605 10 3 7 5 0132 0132 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.092988107457 0.967105109288 9 4 11 6 2031 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.206334590147 0.561779339622 5 11 4 12 0132 0132 0132 0132 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 1 -1 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 0.367683914239 0.330069848651 10 11 7 5 1302 0213 1302 0132 1 0 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 -8 1 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706713264143 0.859155821014 6 9 12 12 0132 2031 3201 2031 1 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 0 0 0 0 0 0 0 0 0 -1 1 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706713264143 0.859155821014 12 8 9 7 3012 0132 0213 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320940341293 1.526275501482 10 10 8 11 2310 1302 0132 1230 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 0 0 0 -1 1 0 0 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 0.706713264143 0.859155821014 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_6'], 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : d['c_0101_6'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_1001_7'], 'c_1010_12' : d['c_0011_12'], 'c_1010_11' : d['c_1001_7'], 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_0_11' : 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_0011_12'], 'c_0101_10' : negation(d['c_0011_11']), '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_1100_8' : d['c_0101_7'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : d['c_1001_5'], 'c_1100_6' : d['c_1001_5'], 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0101_7'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_5'], 'c_1100_10' : negation(d['c_0011_12']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_0'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : d['c_0101_6'], '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_7'], '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_12'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_12'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10'], '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_12'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_0101_7'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0011_11'])})} 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_0101_1, c_0101_12, c_0101_4, c_0101_6, c_0101_7, c_1001_0, c_1001_2, c_1001_5, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 6837890153/342826740*c_1001_7^10 + 9817212703/57137790*c_1001_7^9 + 59835858362/85706685*c_1001_7^8 + 117302696231/57137790*c_1001_7^7 + 418578623639/114275580*c_1001_7^6 + 1413765670823/342826740*c_1001_7^5 - 115727673767/114275580*c_1001_7^4 - 4323681474053/342826740*c_1001_7^3 - 183209602734/9522965*c_1001_7^2 - 2302707158419/171413370*c_1001_7 - 453974982283/114275580, c_0011_0 - 1, c_0011_10 + 7049834/85706685*c_1001_7^10 + 34310479/85706685*c_1001_7^9 + 135903274/85706685*c_1001_7^8 + 302202053/85706685*c_1001_7^7 + 487601806/85706685*c_1001_7^6 + 333667684/85706685*c_1001_7^5 - 582545308/85706685*c_1001_7^4 - 1742970589/85706685*c_1001_7^3 - 2067012527/85706685*c_1001_7^2 - 422129998/28568895*c_1001_7 - 45386373/9522965, c_0011_11 + 8692459/85706685*c_1001_7^10 + 29273894/85706685*c_1001_7^9 + 115275434/85706685*c_1001_7^8 + 171762478/85706685*c_1001_7^7 + 233242901/85706685*c_1001_7^6 - 100185046/85706685*c_1001_7^5 - 781061813/85706685*c_1001_7^4 - 877730909/85706685*c_1001_7^3 - 458366617/85706685*c_1001_7^2 - 26222198/28568895*c_1001_7 + 1901632/9522965, c_0011_12 + 16078178/85706685*c_1001_7^10 + 62628058/85706685*c_1001_7^9 + 253698808/85706685*c_1001_7^8 + 465864446/85706685*c_1001_7^7 + 746472367/85706685*c_1001_7^6 + 223735183/85706685*c_1001_7^5 - 1277092081/85706685*c_1001_7^4 - 2637451543/85706685*c_1001_7^3 - 2700774494/85706685*c_1001_7^2 - 503182561/28568895*c_1001_7 - 54738506/9522965, c_0101_1 - 1, c_0101_12 + 8692459/85706685*c_1001_7^10 + 29273894/85706685*c_1001_7^9 + 115275434/85706685*c_1001_7^8 + 171762478/85706685*c_1001_7^7 + 233242901/85706685*c_1001_7^6 - 100185046/85706685*c_1001_7^5 - 781061813/85706685*c_1001_7^4 - 877730909/85706685*c_1001_7^3 - 458366617/85706685*c_1001_7^2 - 26222198/28568895*c_1001_7 + 1901632/9522965, c_0101_4 - 56944/85706685*c_1001_7^10 - 9313064/85706685*c_1001_7^9 - 29456459/85706685*c_1001_7^8 - 120414958/85706685*c_1001_7^7 - 168047081/85706685*c_1001_7^6 - 262401089/85706685*c_1001_7^5 + 113804693/85706685*c_1001_7^4 + 709010549/85706685*c_1001_7^3 + 913671082/85706685*c_1001_7^2 + 72050391/9522965*c_1001_7 + 18234828/9522965, c_0101_6 - 22878526/85706685*c_1001_7^10 - 94144571/85706685*c_1001_7^9 - 368715791/85706685*c_1001_7^8 - 705898717/85706685*c_1001_7^7 - 1055494034/85706685*c_1001_7^6 - 344319101/85706685*c_1001_7^5 + 2073371372/85706685*c_1001_7^4 + 3997839431/85706685*c_1001_7^3 + 3697199713/85706685*c_1001_7^2 + 622195372/28568895*c_1001_7 + 50976442/9522965, c_0101_7 + 7049834/85706685*c_1001_7^10 + 34310479/85706685*c_1001_7^9 + 135903274/85706685*c_1001_7^8 + 302202053/85706685*c_1001_7^7 + 487601806/85706685*c_1001_7^6 + 333667684/85706685*c_1001_7^5 - 582545308/85706685*c_1001_7^4 - 1742970589/85706685*c_1001_7^3 - 2067012527/85706685*c_1001_7^2 - 422129998/28568895*c_1001_7 - 45386373/9522965, c_1001_0 + 56944/85706685*c_1001_7^10 + 9313064/85706685*c_1001_7^9 + 29456459/85706685*c_1001_7^8 + 120414958/85706685*c_1001_7^7 + 168047081/85706685*c_1001_7^6 + 262401089/85706685*c_1001_7^5 - 113804693/85706685*c_1001_7^4 - 709010549/85706685*c_1001_7^3 - 913671082/85706685*c_1001_7^2 - 72050391/9522965*c_1001_7 - 27757793/9522965, c_1001_2 + 56944/85706685*c_1001_7^10 + 9313064/85706685*c_1001_7^9 + 29456459/85706685*c_1001_7^8 + 120414958/85706685*c_1001_7^7 + 168047081/85706685*c_1001_7^6 + 262401089/85706685*c_1001_7^5 - 113804693/85706685*c_1001_7^4 - 709010549/85706685*c_1001_7^3 - 913671082/85706685*c_1001_7^2 - 72050391/9522965*c_1001_7 - 18234828/9522965, c_1001_5 - 26517023/85706685*c_1001_7^10 - 107708383/85706685*c_1001_7^9 - 423892423/85706685*c_1001_7^8 - 800612516/85706685*c_1001_7^7 - 1208818477/85706685*c_1001_7^6 - 364011673/85706685*c_1001_7^5 + 2346492421/85706685*c_1001_7^4 + 4549503808/85706685*c_1001_7^3 + 4170609719/85706685*c_1001_7^2 + 237442397/9522965*c_1001_7 + 59063761/9522965, c_1001_7^11 + 5*c_1001_7^10 + 20*c_1001_7^9 + 46*c_1001_7^8 + 77*c_1001_7^7 + 62*c_1001_7^6 - 68*c_1001_7^5 - 254*c_1001_7^4 - 337*c_1001_7^3 - 258*c_1001_7^2 - 117*c_1001_7 - 27 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.380 Total time: 0.580 seconds, Total memory usage: 32.09MB