Magma V2.19-8 Wed Aug 21 2013 01:07:58 on localhost [Seed = 2084201811] Type ? for help. Type -D to quit. Loading file "L14n37612__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n37612 geometric_solution 11.20636594 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 0 1 0 0 0 0 0 0 -1 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 0 0 0 1 0 4 -5 4 0 0 -4 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.224342255416 0.673570350894 0 5 7 6 0132 0132 0132 0132 0 1 1 0 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 0 1 -1 0 1 0 5 -5 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728721892901 0.702391016029 8 0 9 4 0132 0132 0132 2310 0 0 1 0 0 0 0 0 1 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 -4 0 0 4 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599680875195 1.255854236042 8 5 10 0 1302 1230 0132 0132 0 1 1 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 4 -4 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.161886180094 0.709009704302 2 11 0 10 3201 0132 0132 0132 0 1 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 1 0 -1 -5 0 5 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.961301818754 0.334822201700 10 1 3 11 0321 0132 3012 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 1 -1 0 0 0 0 0 1 -4 0 3 -4 5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599680875195 1.255854236042 8 12 1 7 2310 0132 0132 3120 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 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 1.431594156647 0.689242721781 6 9 12 1 3120 2103 3201 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 0 0 1 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.178650651742 0.610978026211 2 3 6 12 0132 2031 3201 2103 1 0 0 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 0 0 0 0 1 0 -1 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728721892901 0.702391016029 10 7 11 2 1230 2103 3201 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.002998854405 0.993564030825 5 9 4 3 0321 3012 0132 0132 0 1 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 -1 1 0 4 0 0 -4 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.210601743783 1.467848817765 9 4 12 5 2310 0132 1023 2103 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 -1 4 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.503235828787 0.501500946829 7 6 11 8 2310 0132 1023 2103 0 0 1 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 -4 4 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.783798427466 0.583044982231 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_12' : negation(d['c_0011_7']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_10']), 'c_1001_3' : negation(d['c_0101_9']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_12' : negation(d['c_0011_3']), 'c_1010_11' : negation(d['c_1001_1']), 'c_1010_10' : negation(d['c_0101_9']), 's_0_10' : negation(d['1']), 's_3_10' : negation(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' : negation(d['c_0011_7']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : 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_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_12']), 'c_1100_6' : negation(d['c_0011_12']), 'c_1100_1' : negation(d['c_0011_12']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : negation(d['c_0101_10']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : d['c_0011_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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_0011_10']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : 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_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), '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_0101_9']), 'c_0110_10' : negation(d['c_0011_0']), 'c_0110_12' : negation(d['c_0011_12']), 'c_0101_12' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_12'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_1']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0011_12']})} 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_12, c_0011_3, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_9, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 35913834177930297/25329191897408*c_1100_0^7 + 14506237156924593/1809227992672*c_1100_0^6 - 433356443609020569/25329191897408*c_1100_0^5 + 180252052545288033/12664595948704*c_1100_0^4 - 8753301829932525/6332297974352*c_1100_0^3 - 62360883002475891/12664595948704*c_1100_0^2 + 76804090365224763/25329191897408*c_1100_0 - 19506801986600409/12664595948704, c_0011_0 - 1, c_0011_10 + 4935348/9449837*c_1100_0^7 - 25904295/9449837*c_1100_0^6 + 48052146/9449837*c_1100_0^5 - 28051071/9449837*c_1100_0^4 - 5923770/9449837*c_1100_0^3 + 11981304/9449837*c_1100_0^2 - 20810593/28349511*c_1100_0 - 3084323/28349511, c_0011_11 + 2097036/9449837*c_1100_0^7 - 6118866/9449837*c_1100_0^6 + 1813113/9449837*c_1100_0^5 + 10333773/9449837*c_1100_0^4 - 6233661/9449837*c_1100_0^3 + 12276079/9449837*c_1100_0^2 - 2992839/9449837*c_1100_0 + 118181/9449837, c_0011_12 + 1451619/9449837*c_1100_0^7 - 7274691/9449837*c_1100_0^6 + 10747137/9449837*c_1100_0^5 + 530931/9449837*c_1100_0^4 - 9903012/9449837*c_1100_0^3 + 5775765/9449837*c_1100_0^2 - 14470066/28349511*c_1100_0 - 9501166/28349511, c_0011_3 - 1813572/9449837*c_1100_0^7 + 14006709/9449837*c_1100_0^6 - 35008683/9449837*c_1100_0^5 + 29022546/9449837*c_1100_0^4 + 4557354/9449837*c_1100_0^3 + 209325/9449837*c_1100_0^2 + 5147501/28349511*c_1100_0 - 20294992/28349511, c_0011_7 + 1949238/9449837*c_1100_0^7 - 10917459/9449837*c_1100_0^6 + 24424650/9449837*c_1100_0^5 - 24532368/9449837*c_1100_0^4 + 8230056/9449837*c_1100_0^3 + 5665384/9449837*c_1100_0^2 + 853340/9449837*c_1100_0 + 4267303/9449837, c_0011_9 + 1667925/9449837*c_1100_0^7 - 4685004/9449837*c_1100_0^6 - 790659/9449837*c_1100_0^5 + 12854448/9449837*c_1100_0^4 - 4620450/9449837*c_1100_0^3 + 587125/9449837*c_1100_0^2 - 759661/9449837*c_1100_0 - 9405464/28349511, c_0101_0 - 1, c_0101_1 + 5513607/9449837*c_1100_0^7 - 30046626/9449837*c_1100_0^6 + 60775896/9449837*c_1100_0^5 - 45281031/9449837*c_1100_0^4 + 4704450/9449837*c_1100_0^3 + 10257411/9449837*c_1100_0^2 - 27646456/28349511*c_1100_0 + 26807537/28349511, c_0101_10 - 3700035/9449837*c_1100_0^7 + 16039917/9449837*c_1100_0^6 - 25767213/9449837*c_1100_0^5 + 16258485/9449837*c_1100_0^4 - 9261804/9449837*c_1100_0^3 - 10466736/9449837*c_1100_0^2 + 22498955/28349511*c_1100_0 - 6512545/28349511, c_0101_9 - 1238814/9449837*c_1100_0^7 + 3251142/9449837*c_1100_0^6 + 3394431/9449837*c_1100_0^5 - 15375123/9449837*c_1100_0^4 + 3007239/9449837*c_1100_0^3 + 11101829/9449837*c_1100_0^2 - 1473517/9449837*c_1100_0 + 88599/9449837, c_1001_1 - 2032110/9449837*c_1100_0^7 + 11354913/9449837*c_1100_0^6 - 26557872/9449837*c_1100_0^5 + 29112933/9449837*c_1100_0^4 - 13882254/9449837*c_1100_0^3 - 429774/9449837*c_1100_0^2 - 8129539/28349511*c_1100_0 - 5306003/9449837, c_1100_0^8 - 5*c_1100_0^7 + 26/3*c_1100_0^6 - 11/3*c_1100_0^5 - 3*c_1100_0^4 + 10/3*c_1100_0^3 - 35/27*c_1100_0^2 + 11/27*c_1100_0 + 31/27 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.500 Total time: 1.710 seconds, Total memory usage: 32.09MB