Magma V2.19-8 Wed Aug 21 2013 00:52:41 on localhost [Seed = 3187386380] Type ? for help. Type -D to quit. Loading file "L12n1042__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1042 geometric_solution 11.43595646 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 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 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 0.582751746747 0.814358509925 0 5 7 6 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418863453144 0.812101370785 8 0 5 7 0132 0132 0132 3012 1 1 1 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 -1 5 -4 0 0 0 0 -5 0 0 5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.472820322580 0.698282579699 9 6 8 0 0132 0321 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333514098061 0.387122077656 10 7 0 11 0132 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 1 -1 -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 0.701261705766 1.148886069350 8 1 12 2 1023 0132 0132 0132 1 1 0 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 5 -5 0 0 0 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.211993851228 0.815284773211 9 10 1 3 2103 0213 0132 0321 1 1 1 1 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 4 -4 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.121903667875 0.651647210502 10 4 2 1 3120 0132 1230 0132 1 1 0 1 0 0 0 0 -1 0 1 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 5 0 -5 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 0.688658378248 0.912171256767 2 5 3 11 0132 1023 1023 1023 1 1 0 1 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 -1 0 0 1 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.565051100741 1.430860788781 3 9 6 9 0132 2310 2103 3201 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 -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 -1.277366085171 1.482685786577 4 12 6 7 0132 0132 0213 3120 1 1 0 1 0 0 0 0 0 0 -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 1 0 4 -5 1 -1 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348040686107 0.318199048207 12 12 4 8 0132 1230 0132 1023 1 1 0 1 0 0 0 0 0 0 0 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 -1 1 0 1 0 -1 0 3 -2 0 -1 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.062829918475 0.941722306491 11 10 11 5 0132 0132 3012 0132 1 1 1 0 0 0 -1 1 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 -5 -1 0 1 0 -5 0 0 5 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.929467075080 1.057178337197 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_11'], 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : d['c_0101_8'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : negation(d['c_0011_10']), '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_6'], 'c_0101_10' : d['c_0011_6'], '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_1100_9' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_1001_11']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1001_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0101_7']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : negation(d['c_0101_7']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0101_12'], 'c_1100_8' : negation(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' : 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' : 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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : 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' : d['c_0101_12'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0011_6'], '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_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], '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' : d['c_0011_6'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_3'])})} 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_12, c_0101_7, c_0101_8, c_1001_1, c_1001_10, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 587605748/3053*c_1100_0^5 - 17125816/3053*c_1100_0^4 - 116961311/3053*c_1100_0^3 + 88105449/3053*c_1100_0^2 + 53606255/3053*c_1100_0 + 6094879/3053, c_0011_0 - 1, c_0011_10 + 739220/3053*c_1100_0^5 + 9364/3053*c_1100_0^4 - 82637/3053*c_1100_0^3 + 62253/3053*c_1100_0^2 + 75623/3053*c_1100_0 + 21186/3053, c_0011_3 + 50416/3053*c_1100_0^5 - 24600/3053*c_1100_0^4 + 6402/3053*c_1100_0^3 + 331/3053*c_1100_0^2 + 1809/3053*c_1100_0 + 829/3053, c_0011_6 + 59156/3053*c_1100_0^5 + 31616/3053*c_1100_0^4 - 23475/3053*c_1100_0^3 + 8539/3053*c_1100_0^2 + 8925/3053*c_1100_0 + 4009/3053, c_0101_0 - 1, c_0101_1 + 1, c_0101_12 - 739220/3053*c_1100_0^5 - 9364/3053*c_1100_0^4 + 82637/3053*c_1100_0^3 - 62253/3053*c_1100_0^2 - 75623/3053*c_1100_0 - 21186/3053, c_0101_7 + 360088/3053*c_1100_0^5 + 12916/3053*c_1100_0^4 - 37820/3053*c_1100_0^3 + 35312/3053*c_1100_0^2 + 35506/3053*c_1100_0 + 11949/3053, c_0101_8 + 360088/3053*c_1100_0^5 + 12916/3053*c_1100_0^4 - 37820/3053*c_1100_0^3 + 35312/3053*c_1100_0^2 + 35506/3053*c_1100_0 + 11949/3053, c_1001_1 + 360088/3053*c_1100_0^5 + 12916/3053*c_1100_0^4 - 37820/3053*c_1100_0^3 + 35312/3053*c_1100_0^2 + 32453/3053*c_1100_0 + 11949/3053, c_1001_10 + c_1100_0, c_1001_11 + 59156/3053*c_1100_0^5 + 31616/3053*c_1100_0^4 - 23475/3053*c_1100_0^3 + 8539/3053*c_1100_0^2 + 5872/3053*c_1100_0 + 4009/3053, c_1100_0^6 + 8/23*c_1100_0^5 - 9/92*c_1100_0^4 + 5/92*c_1100_0^3 + 3/23*c_1100_0^2 + 3/46*c_1100_0 + 1/92 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_12, c_0101_7, c_0101_8, c_1001_1, c_1001_10, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 6483394912/652781*c_1100_0^7 - 2064713136/652781*c_1100_0^6 + 16898412366/652781*c_1100_0^5 - 5211035810/652781*c_1100_0^4 + 9124069819/652781*c_1100_0^3 + 1481453607/652781*c_1100_0^2 - 500627745/652781*c_1100_0 + 884918526/652781, c_0011_0 - 1, c_0011_10 - 5016896/652781*c_1100_0^7 + 5052256/652781*c_1100_0^6 - 14462916/652781*c_1100_0^5 + 13399192/652781*c_1100_0^4 - 11609294/652781*c_1100_0^3 + 4557800/652781*c_1100_0^2 - 1277482/652781*c_1100_0 - 335289/652781, c_0011_3 + 186144/9743*c_1100_0^7 - 40672/9743*c_1100_0^6 + 490146/9743*c_1100_0^5 - 137383/9743*c_1100_0^4 + 280398/9743*c_1100_0^3 - 8947/9743*c_1100_0^2 + 47073/19486*c_1100_0 + 24469/38972, c_0011_6 - 48384/9743*c_1100_0^7 + 47152/9743*c_1100_0^6 - 135000/9743*c_1100_0^5 + 128743/9743*c_1100_0^4 - 98208/9743*c_1100_0^3 + 51533/9743*c_1100_0^2 - 9002/9743*c_1100_0 - 6325/38972, c_0101_0 - 1, c_0101_1 + 2849056/652781*c_1100_0^7 - 1706224/652781*c_1100_0^6 + 10180522/652781*c_1100_0^5 - 5272612/652781*c_1100_0^4 + 10209475/652781*c_1100_0^3 - 2985542/652781*c_1100_0^2 + 1905914/652781*c_1100_0 - 243440/652781, c_0101_12 - 4870368/652781*c_1100_0^7 + 3206960/652781*c_1100_0^6 - 12872390/652781*c_1100_0^5 + 8500374/652781*c_1100_0^4 - 8564815/652781*c_1100_0^3 + 2046101/652781*c_1100_0^2 - 1205745/652781*c_1100_0 - 132420/652781, c_0101_7 + 77952/9743*c_1100_0^7 - 15344/9743*c_1100_0^6 + 178528/9743*c_1100_0^5 - 41247/9743*c_1100_0^4 + 51051/9743*c_1100_0^3 + 43965/19486*c_1100_0^2 - 47855/19486*c_1100_0 - 47/19486, c_0101_8 - 122016/9743*c_1100_0^7 + 38800/9743*c_1100_0^6 - 305650/9743*c_1100_0^5 + 110650/9743*c_1100_0^4 - 154409/9743*c_1100_0^3 + 7795/19486*c_1100_0^2 - 1321/9743*c_1100_0 + 1467/38972, c_1001_1 + 146528/652781*c_1100_0^7 - 1845296/652781*c_1100_0^6 + 1590526/652781*c_1100_0^5 - 4898818/652781*c_1100_0^4 + 3044479/652781*c_1100_0^3 - 2511699/652781*c_1100_0^2 + 71737/652781*c_1100_0 + 202869/652781, c_1001_10 + 145152/9743*c_1100_0^7 - 141456/9743*c_1100_0^6 + 405000/9743*c_1100_0^5 - 386229/9743*c_1100_0^4 + 294624/9743*c_1100_0^3 - 154599/9743*c_1100_0^2 + 17263/9743*c_1100_0 - 19997/38972, c_1001_11 - 71040/9743*c_1100_0^7 + 8608/9743*c_1100_0^6 - 181512/9743*c_1100_0^5 + 33990/9743*c_1100_0^4 - 88520/9743*c_1100_0^3 - 16933/19486*c_1100_0^2 + 856/9743*c_1100_0 - 12921/38972, c_1100_0^8 - 1/2*c_1100_0^7 + 45/16*c_1100_0^6 - 23/16*c_1100_0^5 + 2*c_1100_0^4 - 7/16*c_1100_0^3 + 17/64*c_1100_0^2 + 1/64*c_1100_0 + 1/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.250 Total time: 0.470 seconds, Total memory usage: 32.09MB