Magma V2.19-8 Wed Aug 21 2013 00:52:06 on localhost [Seed = 2867642360] Type ? for help. Type -D to quit. Loading file "L11n61__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n61 geometric_solution 12.26346635 oriented_manifold CS_known 0.0000000000000001 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 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.906408299956 1.028029118571 0 5 7 6 0132 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 0.217330954486 0.490218394091 7 0 9 8 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 0 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 0.307067963132 0.902268439379 10 5 10 0 0132 1230 3012 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 -1 1 0 0 0 0 1 -1 0 0 -6 -1 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543640381750 0.838372026389 5 7 0 8 0132 1023 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424284251526 0.790008274412 4 1 3 8 0132 0132 3012 1230 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 1.185140106850 0.812429236974 10 8 1 11 2103 1302 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 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 0.486965812971 1.433484266601 4 2 9 1 1023 1023 3012 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.231985837137 1.083429182765 5 4 2 6 3012 1302 0132 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 -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 0.195166827825 1.674315483363 10 7 12 2 3120 1230 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 0 0 0 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.163084248925 0.935034222600 3 3 6 9 0132 1230 2103 3120 1 1 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 -1 1 0 0 0 0 6 -7 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500871158693 0.920143569853 12 12 6 12 0132 1230 0132 2031 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.818973382951 1.037905765015 11 11 11 9 0132 1302 3012 0132 1 1 1 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 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 0.531470585538 0.593779224665 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_11'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : negation(d['c_0011_9']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0101_8'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_1001_9'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_9']), 's_3_11' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_11']), 'c_1100_8' : negation(d['c_1001_11']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : negation(d['c_1001_9']), 'c_1100_6' : negation(d['c_1001_9']), 'c_1100_1' : negation(d['c_1001_9']), 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_1001_11']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_9']), 'c_1100_10' : negation(d['c_0101_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : d['c_0011_6'], 's_3_1' : negation(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' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_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' : 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' : d['c_0011_9'], '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_0']), '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0011_8'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_8'], 'c_0101_3' : negation(d['c_0011_9']), 'c_0101_2' : negation(d['c_0011_9']), 'c_0101_1' : d['c_0011_8'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], '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_0011_9']), 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0011_8'], 'c_0011_10' : d['c_0011_10']})} 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_6, c_0011_8, c_0011_9, c_0101_0, c_0101_11, c_0101_5, c_0101_7, c_0101_8, c_1001_11, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 20598645/8087940976*c_1001_9^4 + 42575741/4043970488*c_1001_9^3 + 217896197/8087940976*c_1001_9^2 - 806999821/8087940976*c_1001_9 + 270754723/8087940976, c_0011_0 - 1, c_0011_10 + 12/4391*c_1001_9^4 - 107/4391*c_1001_9^3 + 867/4391*c_1001_9^2 + 527/4391*c_1001_9 - 3364/4391, c_0011_11 - 1, c_0011_6 + 12/4391*c_1001_9^4 - 107/4391*c_1001_9^3 + 867/4391*c_1001_9^2 + 527/4391*c_1001_9 - 3364/4391, c_0011_8 + 134/4391*c_1001_9^4 - 463/4391*c_1001_9^3 - 1296/4391*c_1001_9^2 + 762/4391*c_1001_9 - 973/4391, c_0011_9 - 74/4391*c_1001_9^4 - 72/4391*c_1001_9^3 + 1240/4391*c_1001_9^2 - 2518/4391*c_1001_9 - 2674/4391, c_0101_0 - 12/4391*c_1001_9^4 + 107/4391*c_1001_9^3 - 867/4391*c_1001_9^2 - 527/4391*c_1001_9 + 3364/4391, c_0101_11 + 148/4391*c_1001_9^4 + 144/4391*c_1001_9^3 - 2480/4391*c_1001_9^2 + 5036/4391*c_1001_9 + 5348/4391, c_0101_5 + 74/4391*c_1001_9^4 + 72/4391*c_1001_9^3 - 1240/4391*c_1001_9^2 - 1873/4391*c_1001_9 + 2674/4391, c_0101_7 + 74/4391*c_1001_9^4 + 72/4391*c_1001_9^3 - 1240/4391*c_1001_9^2 - 1873/4391*c_1001_9 + 2674/4391, c_0101_8 - 292/4391*c_1001_9^4 + 1140/4391*c_1001_9^3 + 858/4391*c_1001_9^2 - 2578/4391*c_1001_9 + 4283/4391, c_1001_11 - 148/4391*c_1001_9^4 - 144/4391*c_1001_9^3 + 2480/4391*c_1001_9^2 - 645/4391*c_1001_9 - 5348/4391, c_1001_9^5 - 3*c_1001_9^4 - 11*c_1001_9^3 + 14*c_1001_9^2 + 10*c_1001_9 - 73 ], 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_6, c_0011_8, c_0011_9, c_0101_0, c_0101_11, c_0101_5, c_0101_7, c_0101_8, c_1001_11, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 235347199279336323/1472738960298180608*c_1001_9^6 + 35092183693754587163/318111615424407011328*c_1001_9^5 - 3833517373601930753/11781911682385444864*c_1001_9^4 + 43649051715934499459/318111615424407011328*c_1001_9^3 - 243441872284349747/1214166471085522944*c_1001_9^2 + 40001517109846507301/159055807712203505664*c_1001_9 - 1272499540096878317377/318111615424407011328, c_0011_0 - 1, c_0011_10 - 2425728/760725551*c_1001_9^6 + 42856848/760725551*c_1001_9^5 - 36203696/760725551*c_1001_9^4 - 41355559/760725551*c_1001_9^3 + 773745/760725551*c_1001_9^2 - 49623333/760725551*c_1001_9 - 185145584/760725551, c_0011_11 - 1, c_0011_6 - 89636944/760725551*c_1001_9^6 + 803822/760725551*c_1001_9^5 + 46426226/760725551*c_1001_9^4 + 54938641/760725551*c_1001_9^3 + 104685515/760725551*c_1001_9^2 - 359391203/760725551*c_1001_9 - 1328226134/760725551, c_0011_8 + 32127944/760725551*c_1001_9^6 + 27275741/760725551*c_1001_9^5 + 58338841/760725551*c_1001_9^4 + 118382100/760725551*c_1001_9^3 + 5023422/760725551*c_1001_9^2 + 111590408/760725551*c_1001_9 + 1160229472/760725551, c_0011_9 - 7757920/760725551*c_1001_9^6 + 2187860/760725551*c_1001_9^5 + 10499806/760725551*c_1001_9^4 - 40307988/760725551*c_1001_9^3 - 221967760/760725551*c_1001_9^2 + 472413546/760725551*c_1001_9 + 249000094/760725551, c_0101_0 - 94488400/760725551*c_1001_9^6 + 86517518/760725551*c_1001_9^5 - 25981166/760725551*c_1001_9^4 - 27772477/760725551*c_1001_9^3 + 106233005/760725551*c_1001_9^2 - 458637869/760725551*c_1001_9 - 1698517302/760725551, c_0101_11 - 15515840/760725551*c_1001_9^6 + 4375720/760725551*c_1001_9^5 + 20999612/760725551*c_1001_9^4 - 80615976/760725551*c_1001_9^3 - 443935520/760725551*c_1001_9^2 + 944827092/760725551*c_1001_9 + 498000188/760725551, c_0101_5 + 7757920/760725551*c_1001_9^6 - 2187860/760725551*c_1001_9^5 - 10499806/760725551*c_1001_9^4 + 40307988/760725551*c_1001_9^3 + 221967760/760725551*c_1001_9^2 + 288312005/760725551*c_1001_9 - 249000094/760725551, c_0101_7 + 7757920/760725551*c_1001_9^6 - 2187860/760725551*c_1001_9^5 - 10499806/760725551*c_1001_9^4 + 40307988/760725551*c_1001_9^3 + 221967760/760725551*c_1001_9^2 + 288312005/760725551*c_1001_9 - 249000094/760725551, c_0101_8 - 5795460/760725551*c_1001_9^6 - 29804149/1521451102*c_1001_9^5 + 4995269/1521451102*c_1001_9^4 - 273816885/1521451102*c_1001_9^3 - 38813695/760725551*c_1001_9^2 - 100520813/760725551*c_1001_9 - 376251119/1521451102, c_1001_11 + 15515840/760725551*c_1001_9^6 - 4375720/760725551*c_1001_9^5 - 20999612/760725551*c_1001_9^4 + 80615976/760725551*c_1001_9^3 + 443935520/760725551*c_1001_9^2 - 184101541/760725551*c_1001_9 - 498000188/760725551, c_1001_9^7 + 5/8*c_1001_9^6 + 9/8*c_1001_9^5 + 15/8*c_1001_9^4 + 1/4*c_1001_9^2 + 181/8*c_1001_9 + 131/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.260 Total time: 0.470 seconds, Total memory usage: 32.09MB