Magma V2.19-8 Wed Aug 21 2013 01:00:55 on localhost [Seed = 2783166025] Type ? for help. Type -D to quit. Loading file "L13n9884__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9884 geometric_solution 12.13492909 oriented_manifold CS_known -0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 3 0132 0132 0132 3120 2 1 2 2 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 -1 0 1 -1 0 1 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 0.830145165871 0.789057032767 0 4 5 5 0132 0132 2103 0132 2 1 2 2 0 -1 1 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 -2 2 0 1 0 -4 3 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214176760300 0.811896909890 4 0 7 6 3201 0132 0132 0132 2 2 2 2 0 0 0 0 1 0 -1 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 -1 2 0 -2 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623921877361 0.384977203747 0 8 5 0 3120 0132 0132 0132 2 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.260728824256 1.211210228305 4 1 4 2 2031 0132 1302 2310 2 2 2 2 0 1 -1 0 1 0 -1 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 2 -2 0 2 0 -2 0 2 0 0 -2 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482449107377 1.346643363778 1 6 1 3 2103 2031 0132 0132 2 1 2 2 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 0 0 0 4 0 -3 -1 -2 3 0 -1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696223978833 1.151547966916 5 9 2 10 1302 0132 0132 0132 2 2 2 2 0 -1 0 1 -1 0 0 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 -3 1 2 -3 0 0 3 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.695205776876 0.869526069127 10 8 11 2 0132 2031 0132 0132 2 2 2 0 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 0 0 -2 2 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474503695711 1.016114831442 7 3 9 12 1302 0132 0132 0132 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.789084924411 0.638727337798 11 6 12 8 1230 0132 2103 0132 2 0 2 2 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 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 0.825934231142 0.475165027709 7 11 6 12 0132 1023 0132 0213 2 2 0 2 0 1 -1 0 0 0 -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 2 -2 0 0 0 -3 3 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.075154798875 0.637232398608 10 9 12 7 1023 3012 0213 0132 2 2 0 2 0 0 0 0 -1 0 0 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 0 0 0 -2 0 0 2 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.214473024792 1.274072908778 9 11 8 10 2103 0213 0132 0213 2 0 2 2 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 1 0 0 -1 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.627861533103 0.964451092985 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : negation(d['c_0101_10']), 'c_1001_7' : negation(d['c_0101_12']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1010_12'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : d['c_0101_7'], 's_0_10' : d['1'], 's_3_10' : 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_12'], 'c_0101_10' : d['c_0101_10'], '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' : 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' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_0101_7'], 'c_1100_8' : d['c_0101_7'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : d['c_1010_12'], 'c_1100_6' : d['c_1010_12'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : d['c_1010_12'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_1010_12'], 'c_1100_10' : d['c_1010_12'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_1001_0'], '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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_7'], '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_6']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], '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' : d['c_0101_7'], 'c_0110_10' : d['c_0101_7'], 'c_0110_12' : negation(d['c_0101_7']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_12'], 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_10'], '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' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_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_12, c_0011_3, c_0011_5, c_0011_6, c_0101_0, c_0101_10, c_0101_12, c_0101_3, c_0101_7, c_1001_0, c_1010_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 9222712724404/14828704677675*c_1010_12^7 - 61958590706357/2965740935535*c_1010_12^6 - 1806554861128468/14828704677675*c_1010_12^5 - 3675527385838909/14828704677675*c_1010_12^4 - 918997143944587/4942901559225*c_1010_12^3 - 409323715376848/4942901559225*c_1010_12^2 - 47737655291579/1647633853075*c_1010_12 + 128899822881943/2965740935535, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 + 81862/642271*c_1010_12^7 + 4992525/1284542*c_1010_12^6 + 16766819/1284542*c_1010_12^5 + 18314483/1284542*c_1010_12^4 + 14221661/1284542*c_1010_12^3 + 1221014/642271*c_1010_12^2 - 1401664/642271*c_1010_12 - 1692477/1284542, c_0011_3 - 982073/1284542*c_1010_12^7 - 29843169/1284542*c_1010_12^6 - 97108619/1284542*c_1010_12^5 - 90448167/1284542*c_1010_12^4 - 27762801/642271*c_1010_12^3 - 7281327/642271*c_1010_12^2 + 13879799/1284542*c_1010_12 + 4754426/642271, c_0011_5 - 713877/1284542*c_1010_12^7 - 21708341/1284542*c_1010_12^6 - 70959459/1284542*c_1010_12^5 - 64675255/1284542*c_1010_12^4 - 18260531/642271*c_1010_12^3 - 6296869/642271*c_1010_12^2 + 7699687/1284542*c_1010_12 + 3250290/642271, c_0011_6 + 29626/642271*c_1010_12^7 + 925111/642271*c_1010_12^6 + 3692239/642271*c_1010_12^5 + 5428027/642271*c_1010_12^4 + 4719391/642271*c_1010_12^3 + 1457570/642271*c_1010_12^2 - 355543/642271*c_1010_12 - 188341/642271, c_0101_0 - 1, c_0101_10 - 424699/1284542*c_1010_12^7 - 13004129/1284542*c_1010_12^6 - 44948055/1284542*c_1010_12^5 - 47696785/1284542*c_1010_12^4 - 14374618/642271*c_1010_12^3 - 3660182/642271*c_1010_12^2 + 6504231/1284542*c_1010_12 + 2776931/642271, c_0101_12 - 1809658/12203149*c_1010_12^7 - 111614537/24406298*c_1010_12^6 - 406886773/24406298*c_1010_12^5 - 478056339/24406298*c_1010_12^4 - 312556915/24406298*c_1010_12^3 - 70955497/12203149*c_1010_12^2 + 11282024/12203149*c_1010_12 + 54128413/24406298, c_0101_3 - 569288/642271*c_1010_12^7 - 17356235/642271*c_1010_12^6 - 57953757/642271*c_1010_12^5 - 56186020/642271*c_1010_12^4 - 32635149/642271*c_1010_12^3 - 9957051/642271*c_1010_12^2 + 7101959/642271*c_1010_12 + 6027221/642271, c_0101_7 - 2015562/12203149*c_1010_12^7 - 121192667/24406298*c_1010_12^6 - 359831907/24406298*c_1010_12^5 - 268882343/24406298*c_1010_12^4 - 190928459/24406298*c_1010_12^3 - 29369189/12203149*c_1010_12^2 + 16906472/12203149*c_1010_12 + 24658253/24406298, c_1001_0 - 156503/1284542*c_1010_12^7 - 4869301/1284542*c_1010_12^6 - 18798895/1284542*c_1010_12^5 - 21923873/1284542*c_1010_12^4 - 4872348/642271*c_1010_12^3 - 2675724/642271*c_1010_12^2 + 324119/1284542*c_1010_12 + 1272795/642271, c_1010_12^8 + 30*c_1010_12^7 + 87*c_1010_12^6 + 51*c_1010_12^5 + 14*c_1010_12^4 - 9*c_1010_12^3 - 21*c_1010_12^2 - 5*c_1010_12 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB