Magma V2.19-8 Tue Aug 20 2013 20:58:28 on localhost [Seed = 2210775403] Type ? for help. Type -D to quit. Loading file "9^2_42__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_42 geometric_solution 13.94841773 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 15 1 2 2 3 0132 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706415891335 0.837053100887 0 4 6 5 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.764807281720 0.959385665646 0 0 8 7 2031 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411163708018 0.697729553035 9 9 0 10 0132 1230 0132 0132 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 0 0 0 0 0 0 1 -1 0 -1 0 1 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 0.631281006830 0.695852870788 5 1 11 12 0213 0132 0132 0132 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 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 0.705290243533 0.540869163873 4 13 1 14 0213 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 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 0.315218747638 0.549436860881 9 12 8 1 3120 2103 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616385030877 0.405134859424 14 10 2 13 1230 0132 0132 1230 0 0 1 0 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 1 -1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.272956185555 0.931956818188 11 6 13 2 1230 1230 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.359693511302 0.843928685987 3 12 3 6 0132 0321 3012 3120 0 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 0 0 0 0 0 0 0 0 1 0 -1 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 0.284851308759 0.788299132170 13 7 3 14 2103 0132 0132 2103 0 0 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 -1 0 0 1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.187460966002 0.697206671668 14 8 12 4 0321 3012 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.564475739407 0.537877444761 11 6 4 9 2103 2103 0132 0321 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.776792215139 1.425616039802 7 5 10 8 3012 0132 2103 3012 0 0 0 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 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.315218747638 0.549436860881 11 7 5 10 0321 3012 0132 2103 0 0 0 1 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 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 0.604101662387 0.876530720978 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_1001_14' : d['c_0011_10'], 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0101_10'], 'c_1001_13' : d['c_0011_10'], 'c_1001_12' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : negation(d['c_0101_8']), 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : d['c_0011_12'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0101_6'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : d['c_0110_10'], 'c_1010_13' : negation(d['c_0101_8']), 'c_1010_12' : negation(d['c_0011_6']), 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : d['c_0101_7'], 'c_1010_14' : negation(d['c_0101_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_3_14' : 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'], 'c_0101_14' : negation(d['c_0101_11']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : 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' : negation(d['1']), 's_0_5' : negation(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_0011_14' : d['c_0011_13'], 'c_1100_9' : negation(d['c_0101_6']), 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_10']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0110_13'], 'c_1100_6' : negation(d['c_0110_10']), 'c_1100_1' : negation(d['c_0110_10']), 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : d['c_0110_13'], 'c_1100_14' : negation(d['c_0110_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : d['c_0011_11'], 'c_1100_13' : negation(d['c_0110_10']), 's_0_11' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : d['c_0101_6'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0101_6'], 'c_1100_8' : d['c_0110_13'], 's_3_1' : negation(d['1']), 'c_0101_13' : d['c_0101_10'], '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' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_3']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_13']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_13']), 'c_0110_10' : d['c_0110_10'], 'c_0110_13' : d['c_0110_13'], 'c_0110_12' : d['c_0011_3'], 'c_0110_14' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_11'], 's_3_12' : d['1'], 's_2_14' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0011_13']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0101_11']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0011_13'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_3, c_0011_6, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_0101_7, c_0101_8, c_0110_10, c_0110_13 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1504765/5828*c_0110_13^5 - 1685231/11656*c_0110_13^4 - 2308009/5828*c_0110_13^3 - 2668887/1457*c_0110_13^2 + 2375631/5828*c_0110_13 - 25325523/11656, c_0011_0 - 1, c_0011_10 - 1/8*c_0110_13^5 - 3/16*c_0110_13^4 - 3/8*c_0110_13^3 - 5/4*c_0110_13^2 - c_0110_13 - 17/16, c_0011_11 - 1/4*c_0110_13^4 - 5/8*c_0110_13^3 - 3/8*c_0110_13^2 - 7/8*c_0110_13 - 7/8, c_0011_12 - 1/2*c_0110_13^5 - 1/4*c_0110_13^4 + 1/4*c_0110_13^3 - 2*c_0110_13^2 + 5/4*c_0110_13 - 3/4, c_0011_13 + 1/4*c_0110_13^4 + 5/8*c_0110_13^3 + 3/8*c_0110_13^2 + 11/8*c_0110_13 + 11/8, c_0011_3 - 1, c_0011_6 - 1/4*c_0110_13^5 - 1/8*c_0110_13^4 - 1/8*c_0110_13^3 - 9/8*c_0110_13^2 + 3/8*c_0110_13 - 3/4, c_0101_1 + 1/4*c_0110_13^4 + 5/8*c_0110_13^3 + 3/8*c_0110_13^2 + 11/8*c_0110_13 + 11/8, c_0101_10 + 1/8*c_0110_13^5 + 3/16*c_0110_13^4 + 3/8*c_0110_13^3 + 5/4*c_0110_13^2 + c_0110_13 + 17/16, c_0101_11 + 1/8*c_0110_13^5 + 3/16*c_0110_13^4 + 3/8*c_0110_13^3 + 5/4*c_0110_13^2 + 1/16, c_0101_6 + 1/2*c_0110_13^4 + 3/4*c_0110_13^3 + 9/4*c_0110_13 + 1/2, c_0101_7 + 1/4*c_0110_13^5 + 1/8*c_0110_13^4 + 1/8*c_0110_13^3 + 9/8*c_0110_13^2 - 7/8*c_0110_13 + 1/4, c_0101_8 - 1, c_0110_10 + 1/4*c_0110_13^5 - 1/8*c_0110_13^4 - 1/2*c_0110_13^3 + 3/4*c_0110_13^2 - 7/4*c_0110_13 - 5/8, c_0110_13^6 + 1/2*c_0110_13^5 + 3/2*c_0110_13^4 + 7*c_0110_13^3 - 2*c_0110_13^2 + 17/2*c_0110_13 - 1/2 ], Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_3, c_0011_6, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_0101_7, c_0101_8, c_0110_10, c_0110_13 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 115540/119067*c_0110_13^9 - 197505/39689*c_0110_13^8 - 502582/119067*c_0110_13^7 + 394067/9159*c_0110_13^6 + 3095353/119067*c_0110_13^5 - 1245647/9159*c_0110_13^4 - 17800342/119067*c_0110_13^3 - 3068599/39689*c_0110_13^2 - 3582874/119067*c_0110_13 - 623651/119067, c_0011_0 - 1, c_0011_10 - 3353/559*c_0110_13^9 + 4456/559*c_0110_13^8 + 39332/559*c_0110_13^7 - 1296/43*c_0110_13^6 - 229408/559*c_0110_13^5 - 22505/43*c_0110_13^4 - 3683/13*c_0110_13^3 - 54830/559*c_0110_13^2 - 12065/559*c_0110_13 + 1073/559, c_0011_11 + 133/43*c_0110_13^9 - 263/43*c_0110_13^8 - 1438/43*c_0110_13^7 + 1659/43*c_0110_13^6 + 8603/43*c_0110_13^5 + 5849/43*c_0110_13^4 - 889/43*c_0110_13^3 - 1858/43*c_0110_13^2 - 930/43*c_0110_13 - 323/43, c_0011_12 - 49/43*c_0110_13^9 + 382/43*c_0110_13^8 + 168/43*c_0110_13^7 - 3984/43*c_0110_13^6 - 1923/43*c_0110_13^5 + 17487/43*c_0110_13^4 + 26276/43*c_0110_13^3 + 15368/43*c_0110_13^2 + 5728/43*c_0110_13 + 1428/43, c_0011_13 - 1373/559*c_0110_13^9 + 3755/559*c_0110_13^8 + 13048/559*c_0110_13^7 - 2192/43*c_0110_13^6 - 79259/559*c_0110_13^5 + 443/43*c_0110_13^4 + 74670/559*c_0110_13^3 + 49225/559*c_0110_13^2 + 21380/559*c_0110_13 + 5261/559, c_0011_3 - 1, c_0011_6 - 71/43*c_0110_13^9 + 77/43*c_0110_13^8 + 827/43*c_0110_13^7 - 102/43*c_0110_13^6 - 4631/43*c_0110_13^5 - 7662/43*c_0110_13^4 - 6694/43*c_0110_13^3 - 3719/43*c_0110_13^2 - 1334/43*c_0110_13 - 302/43, c_0101_1 - 14/43*c_0110_13^9 - 4/43*c_0110_13^8 + 131/43*c_0110_13^7 + 321/43*c_0110_13^6 - 419/43*c_0110_13^5 - 3508/43*c_0110_13^4 - 6413/43*c_0110_13^3 - 4376/43*c_0110_13^2 - 1690/43*c_0110_13 - 525/43, c_0101_10 + 1444/559*c_0110_13^9 + 62/559*c_0110_13^8 - 20039/559*c_0110_13^7 - 1150/43*c_0110_13^6 + 113389/559*c_0110_13^5 + 19614/43*c_0110_13^4 + 214211/559*c_0110_13^3 + 100689/559*c_0110_13^2 + 33448/559*c_0110_13 + 5168/559, c_0101_11 - 369/43*c_0110_13^9 + 338/43*c_0110_13^8 + 4567/43*c_0110_13^7 - 146/43*c_0110_13^6 - 26369/43*c_0110_13^5 - 42119/43*c_0110_13^4 - 28660/43*c_0110_13^3 - 11963/43*c_0110_13^2 - 3501/43*c_0110_13 - 315/43, c_0101_6 - 275/43*c_0110_13^9 + 468/43*c_0110_13^8 + 3044/43*c_0110_13^7 - 2490/43*c_0110_13^6 - 17836/43*c_0110_13^5 - 17553/43*c_0110_13^4 - 6730/43*c_0110_13^3 - 1640/43*c_0110_13^2 - 3/43*c_0110_13 + 185/43, c_0101_7 + 28/43*c_0110_13^9 - 34/43*c_0110_13^8 - 311/43*c_0110_13^7 + 59/43*c_0110_13^6 + 1707/43*c_0110_13^5 + 2932/43*c_0110_13^4 + 2910/43*c_0110_13^3 + 1569/43*c_0110_13^2 + 474/43*c_0110_13 + 130/43, c_0101_8 + c_0110_13 + 1, c_0110_10 + 39/43*c_0110_13^9 - 118/43*c_0110_13^8 - 361/43*c_0110_13^7 + 956/43*c_0110_13^6 + 2244/43*c_0110_13^5 - 1027/43*c_0110_13^4 - 3395/43*c_0110_13^3 - 2067/43*c_0110_13^2 - 811/43*c_0110_13 - 209/43, c_0110_13^10 - c_0110_13^9 - 12*c_0110_13^8 + c_0110_13^7 + 68*c_0110_13^6 + 110*c_0110_13^5 + 88*c_0110_13^4 + 50*c_0110_13^3 + 20*c_0110_13^2 + 5*c_0110_13 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.750 Total time: 2.950 seconds, Total memory usage: 137.75MB