Magma V2.19-8 Wed Aug 21 2013 01:13:58 on localhost [Seed = 627260317] Type ? for help. Type -D to quit. Loading file "L14n9738__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n9738 geometric_solution 12.40269630 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 0 0 1 2 1302 2031 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 1 0 -1 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520767745672 0.297113814339 3 2 4 0 0132 3012 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 -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 0.551312930472 0.826519969002 1 5 0 6 1230 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 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 0.551312930472 0.826519969002 1 5 5 6 0132 3012 1230 3120 1 1 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 0 0 0 0 1 -1 0 0 0 0 0 -15 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579986511189 1.230162358980 7 5 8 1 0132 0213 0132 0132 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 0 0 -1 0 0 1 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.374354146437 1.540412626134 3 2 4 3 1230 0132 0213 3012 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 15 0 -14 -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 0.579986511189 1.230162358980 3 7 2 8 3120 0132 0132 0132 1 1 1 1 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 1 -1 0 0 0 0 0 -15 0 0 15 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.374354146437 1.540412626134 4 6 10 9 0132 0132 0132 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 -1 1 0 1 0 0 -1 0 1 0 -1 14 0 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.283933410429 0.609494003718 11 12 6 4 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 15 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.283933410429 0.609494003718 11 12 7 11 2103 0213 0132 3201 1 1 0 1 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 0 0 0 0 0 1 -1 2 -1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.655443811598 1.028414968862 11 12 12 7 3120 0321 3201 0132 1 1 1 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 0 1 -1 0 0 0 0 -14 0 0 14 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.655443811598 1.028414968862 8 9 9 10 0132 2310 2103 3120 0 1 1 1 0 1 -1 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 1 -2 1 0 0 0 0 -15 1 0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.655443811598 1.028414968862 10 8 9 10 2310 0132 0213 0321 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 0 0 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 0.655443811598 1.028414968862 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_12'], 'c_1001_4' : d['c_1001_12'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_12'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : d['c_1001_12'], 'c_1001_8' : d['c_1001_7'], 'c_1010_12' : d['c_1001_7'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_1001_7'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_9'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : negation(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' : negation(d['1']), 's_0_4' : negation(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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_11']), 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_1001_7'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : d['c_1001_12'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_0011_9']), 'c_1010_8' : d['c_1001_12'], 'c_1100_8' : d['c_1100_0'], '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' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_9']), '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' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_11'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_1'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_1'], '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_1, c_0011_10, c_0011_11, c_0011_2, c_0011_4, c_0011_9, c_0101_1, c_0101_11, c_0101_2, c_1001_12, c_1001_7, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 6714139/11152768000*c_1100_0^9 - 81933529/5576384000*c_1100_0^8 - 307652857/5576384000*c_1100_0^7 + 8748217/557638400*c_1100_0^6 + 3432298129/11152768000*c_1100_0^5 + 129440989/506944000*c_1100_0^4 - 3651169961/5576384000*c_1100_0^3 - 1489140099/1394096000*c_1100_0^2 - 1047541073/2230553600*c_1100_0 - 2121582251/5576384000, c_0011_0 - 1, c_0011_1 - 1/22*c_1100_0^9 - 39/352*c_1100_0^8 + 53/352*c_1100_0^7 + 133/176*c_1100_0^6 + 69/352*c_1100_0^5 - 31/16*c_1100_0^4 - 711/352*c_1100_0^3 - 211/352*c_1100_0^2 + 4/11*c_1100_0 + 21/11, c_0011_10 + 5/176*c_1100_0^9 + 17/176*c_1100_0^8 + 1/88*c_1100_0^7 - 79/176*c_1100_0^6 - 51/88*c_1100_0^5 + 7/16*c_1100_0^4 + 293/176*c_1100_0^3 + 29/11*c_1100_0^2 + 133/44*c_1100_0 + 13/11, c_0011_11 - 5/88*c_1100_0^9 - 17/88*c_1100_0^8 - 1/44*c_1100_0^7 + 79/88*c_1100_0^6 + 51/44*c_1100_0^5 - 7/8*c_1100_0^4 - 293/88*c_1100_0^3 - 58/11*c_1100_0^2 - 133/22*c_1100_0 - 26/11, c_0011_2 - 1/22*c_1100_0^9 - 39/352*c_1100_0^8 + 53/352*c_1100_0^7 + 133/176*c_1100_0^6 + 69/352*c_1100_0^5 - 31/16*c_1100_0^4 - 711/352*c_1100_0^3 - 211/352*c_1100_0^2 + 4/11*c_1100_0 + 21/11, c_0011_4 + c_1100_0, c_0011_9 - 1, c_0101_1 - 1/88*c_1100_0^9 - 29/352*c_1100_0^8 - 39/352*c_1100_0^7 + 47/176*c_1100_0^6 + 317/352*c_1100_0^5 + 3/16*c_1100_0^4 - 703/352*c_1100_0^3 - 1029/352*c_1100_0^2 - 32/11*c_1100_0 - 25/11, c_0101_11 + 3/352*c_1100_0^9 + 1/44*c_1100_0^8 - 23/352*c_1100_0^7 - 65/352*c_1100_0^6 + 29/352*c_1100_0^5 + 25/32*c_1100_0^4 + 89/176*c_1100_0^3 - 265/352*c_1100_0^2 - 20/11*c_1100_0 - 17/11, c_0101_2 - 1/176*c_1100_0^9 - 5/88*c_1100_0^8 - 29/176*c_1100_0^7 + 7/176*c_1100_0^6 + 159/176*c_1100_0^5 + 17/16*c_1100_0^4 - 17/11*c_1100_0^3 - 711/176*c_1100_0^2 - 38/11*c_1100_0 - 29/11, c_1001_12 + 1/88*c_1100_0^9 + 29/352*c_1100_0^8 + 39/352*c_1100_0^7 - 47/176*c_1100_0^6 - 317/352*c_1100_0^5 - 3/16*c_1100_0^4 + 703/352*c_1100_0^3 + 1029/352*c_1100_0^2 + 32/11*c_1100_0 + 25/11, c_1001_7 + 3/352*c_1100_0^9 + 1/44*c_1100_0^8 - 23/352*c_1100_0^7 - 65/352*c_1100_0^6 + 29/352*c_1100_0^5 + 25/32*c_1100_0^4 + 89/176*c_1100_0^3 - 265/352*c_1100_0^2 - 20/11*c_1100_0 - 17/11, c_1100_0^10 + 4*c_1100_0^9 + 2*c_1100_0^8 - 16*c_1100_0^7 - 29*c_1100_0^6 + 8*c_1100_0^5 + 74*c_1100_0^4 + 124*c_1100_0^3 + 137*c_1100_0^2 + 72*c_1100_0 + 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.410 seconds, Total memory usage: 32.09MB