Magma V2.19-8 Wed Aug 21 2013 00:58:02 on localhost [Seed = 274074300] Type ? for help. Type -D to quit. Loading file "L13n4664__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4664 geometric_solution 11.95496427 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 3012 0132 1 1 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 -3 -1 4 0 0 0 0 1 0 0 -1 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.226127099268 1.416897872042 0 0 5 4 0132 1230 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 3 -2 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296903580029 0.543606127501 4 0 6 4 0132 0132 0132 2031 1 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 0 0 0 0 0 0 0 0 0 3 -3 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 0.539587147929 0.793576404025 7 8 0 6 0132 0132 0132 2310 1 1 1 1 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 4 -4 0 1 0 0 -1 -4 4 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.225596536625 1.155343268805 2 2 1 9 0132 1302 0132 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 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 0.414076752152 0.861723385827 8 6 10 1 3120 3120 0132 0132 1 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228172817751 0.976474185723 3 5 11 2 3201 3120 0132 0132 1 1 1 1 0 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 -3 3 0 0 0 0 0 0 0 0 1 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196481915637 0.474524618843 3 11 9 12 0132 1230 0213 0132 1 1 1 1 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 1 -1 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.802122092458 0.745583365699 12 3 9 5 0132 0132 3201 3120 1 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 -4 4 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.895535920278 0.744580492851 8 7 4 10 2310 0213 0132 0132 1 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 3 0 -3 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278099229300 0.694757360920 11 12 9 5 0213 2103 0132 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.028465758594 2.250108311359 10 12 7 6 0213 0321 3012 0132 1 1 1 1 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 -3 0 3 0 0 0 0 0 -4 0 4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.409343364298 1.743546555869 8 10 7 11 0132 2103 0132 0321 1 1 1 1 0 0 1 -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 0 -3 3 0 0 -1 1 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718193316290 0.429610967997 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_1001_5']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : d['c_1001_7'], 'c_1001_8' : negation(d['c_0101_2']), 'c_1010_12' : negation(d['c_1001_5']), 'c_1010_11' : negation(d['c_1001_5']), 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : 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' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : 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_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : negation(d['c_1001_7']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_1001_7']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : negation(d['c_1001_7']), 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0011_5']), 'c_1100_8' : negation(d['c_0011_9']), '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_12'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), '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' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_9']), 'c_0110_10' : d['c_0011_9'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_1'], 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : d['c_0011_9'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : negation(d['c_0011_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} 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_5, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_1001_5, c_1001_7, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 10224064836519968/96389207597692243*c_1100_1^8 + 29230621839659072/96389207597692243*c_1100_1^7 + 83782835248411614/96389207597692243*c_1100_1^6 + 143239962717198755/96389207597692243*c_1100_1^5 + 154292518818279284/96389207597692243*c_1100_1^4 + 58332006014140485/96389207597692243*c_1100_1^3 + 110561253096566845/96389207597692243*c_1100_1^2 - 41931012196805603/96389207597692243*c_1100_1 - 13649217805719287/96389207597692243, c_0011_0 - 1, c_0011_10 - 2020470641/1150578871*c_1100_1^8 - 2425355380/1150578871*c_1100_1^7 - 10511741107/1150578871*c_1100_1^6 - 17805793247/1150578871*c_1100_1^5 + 212468025/1150578871*c_1100_1^4 - 302101002/6808159*c_1100_1^3 + 23903900198/1150578871*c_1100_1^2 - 36382151688/1150578871*c_1100_1 + 968709566/88506067, c_0011_11 - 1306047316/1150578871*c_1100_1^8 - 1838325552/1150578871*c_1100_1^7 - 7392120932/1150578871*c_1100_1^6 - 12982405312/1150578871*c_1100_1^5 - 2971912633/1150578871*c_1100_1^4 - 2597535177/88506067*c_1100_1^3 + 12337496649/1150578871*c_1100_1^2 - 24738854331/1150578871*c_1100_1 + 658550683/88506067, c_0011_12 - 1321995892/1150578871*c_1100_1^8 - 1643157299/1150578871*c_1100_1^7 - 6998810154/1150578871*c_1100_1^6 - 11915334991/1150578871*c_1100_1^5 - 426307659/1150578871*c_1100_1^4 - 2566561958/88506067*c_1100_1^3 + 15728880875/1150578871*c_1100_1^2 - 24171827389/1150578871*c_1100_1 + 668045863/88506067, c_0011_5 - 522867870/1150578871*c_1100_1^8 - 690986590/1150578871*c_1100_1^7 - 2788327577/1150578871*c_1100_1^6 - 4769652071/1150578871*c_1100_1^5 - 327502548/1150578871*c_1100_1^4 - 969362580/88506067*c_1100_1^3 + 5728849983/1150578871*c_1100_1^2 - 9922336882/1150578871*c_1100_1 + 327884383/88506067, c_0011_6 + 788786768/1150578871*c_1100_1^8 + 923077022/1150578871*c_1100_1^7 + 3880385621/1150578871*c_1100_1^6 + 6518340253/1150578871*c_1100_1^5 - 1213220104/1150578871*c_1100_1^4 + 1422854816/88506067*c_1100_1^3 - 9166612184/1150578871*c_1100_1^2 + 12221258537/1150578871*c_1100_1 - 175723597/88506067, c_0011_9 + 153042687/1150578871*c_1100_1^8 + 214842467/1150578871*c_1100_1^7 + 980981036/1150578871*c_1100_1^6 + 1582900009/1150578871*c_1100_1^5 + 671230218/1150578871*c_1100_1^4 + 337251808/88506067*c_1100_1^3 - 2874681393/1150578871*c_1100_1^2 + 4710792440/1150578871*c_1100_1 - 202667213/88506067, c_0101_0 + 472350186/1150578871*c_1100_1^8 + 413403501/1150578871*c_1100_1^7 + 2257853752/1150578871*c_1100_1^6 + 3583152808/1150578871*c_1100_1^5 - 1027594765/1150578871*c_1100_1^4 + 1005654999/88506067*c_1100_1^3 - 7521189682/1150578871*c_1100_1^2 + 10171838295/1150578871*c_1100_1 - 235330229/88506067, c_0101_1 - 1, c_0101_2 + 35100926/1150578871*c_1100_1^8 + 45433073/1150578871*c_1100_1^7 - 169600137/1150578871*c_1100_1^6 - 358080064/1150578871*c_1100_1^5 - 1813344980/1150578871*c_1100_1^4 - 204839668/88506067*c_1100_1^3 - 657500261/1150578871*c_1100_1^2 - 4317036327/1150578871*c_1100_1 + 17501292/88506067, c_1001_5 - 301487193/1150578871*c_1100_1^8 - 626442537/1150578871*c_1100_1^7 - 1917227907/1150578871*c_1100_1^6 - 3926147038/1150578871*c_1100_1^5 - 2268227881/1150578871*c_1100_1^4 - 562280493/88506067*c_1100_1^3 - 1586885460/1150578871*c_1100_1^2 - 3106945152/1150578871*c_1100_1 - 47447446/88506067, c_1001_7 - 57975834/88506067*c_1100_1^8 - 67511073/88506067*c_1100_1^7 - 311537366/88506067*c_1100_1^6 - 528955409/88506067*c_1100_1^5 - 46163452/88506067*c_1100_1^4 - 125207268/6808159*c_1100_1^3 + 654547071/88506067*c_1100_1^2 - 1272176528/88506067*c_1100_1 + 21671612/6808159, c_1100_1^9 + c_1100_1^8 + 5*c_1100_1^7 + 54/7*c_1100_1^6 - 13/7*c_1100_1^5 + 176/7*c_1100_1^4 - 18*c_1100_1^3 + 150/7*c_1100_1^2 - 80/7*c_1100_1 + 13/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.790 Total time: 1.000 seconds, Total memory usage: 32.09MB