Magma V2.19-8 Tue Aug 20 2013 23:38:15 on localhost [Seed = 2328686250] Type ? for help. Type -D to quit. Loading file "K11n92__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n92 geometric_solution 8.77076855 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 -1 1 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 5 0 0 -5 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.922815095890 0.571152137915 0 2 6 5 0132 0321 0132 0132 0 0 0 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 5 0 -5 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493324893355 0.963000342053 7 0 5 1 0132 0132 1302 0321 0 0 0 0 0 0 0 0 0 0 1 -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 -1 1 0 0 0 5 -5 1 4 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.068730209575 0.848818131552 7 5 8 0 3012 0132 0132 0132 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 -1 1 0 0 0 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.251203909743 1.192482514843 9 8 0 5 0132 3012 0132 0213 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 -4 -1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.775090666141 0.812500605093 2 3 1 4 2031 0132 0132 0213 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 -1 0 1 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 -0.358911143937 0.599112540057 9 7 8 1 3120 0213 3120 0132 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 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341566943527 0.547678538516 2 9 6 3 0132 3120 0213 1230 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 4 -4 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642490720484 0.393120032570 4 9 6 3 1230 0213 3120 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 -1 0 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 0 0 0 0.581190588719 0.399153883804 4 7 8 6 0132 3120 0213 3120 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 -1 1 0 0 0 1 -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 0.328388813853 0.621330376929 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_8']), 'c_1001_7' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0011_8']), 'c_1001_9' : negation(d['c_1001_6']), 'c_1001_8' : negation(d['c_1001_6']), 's_2_8' : d['1'], 's_2_9' : d['1'], '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' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_6']), 'c_1100_8' : negation(d['c_0101_6']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0101_0'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_8']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_8']), 'c_1010_9' : negation(d['c_0011_0']), 'c_1010_8' : negation(d['c_0101_6']), 's_3_1' : d['1'], 's_3_0' : negation(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'], 's_1_7' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_6, c_0101_8, c_1001_0, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 2/147*c_1001_6^3 - 4/147*c_1001_6^2 - 5/147*c_1001_6 - 1/21, c_0011_0 - 1, c_0011_3 - 2/7*c_1001_6^3 + 3/7*c_1001_6^2 - 5/7*c_1001_6 - 1, c_0011_4 - 2/7*c_1001_6^3 + 3/7*c_1001_6^2 - 5/7*c_1001_6 - 2, c_0011_8 + 4/7*c_1001_6^3 - 6/7*c_1001_6^2 + 17/7*c_1001_6 + 3, c_0101_0 + 5/7*c_1001_6^3 - 4/7*c_1001_6^2 + 16/7*c_1001_6 + 4, c_0101_1 - 4/7*c_1001_6^3 + 6/7*c_1001_6^2 - 17/7*c_1001_6 - 2, c_0101_6 - 2/7*c_1001_6^3 + 3/7*c_1001_6^2 - 5/7*c_1001_6 - 2, c_0101_8 + 4/7*c_1001_6^3 - 6/7*c_1001_6^2 + 10/7*c_1001_6 + 3, c_1001_0 - 3/7*c_1001_6^3 + 1/7*c_1001_6^2 - 11/7*c_1001_6 - 3, c_1001_6^4 + 2*c_1001_6^2 + 9*c_1001_6 + 7 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_6, c_0101_8, c_1001_0, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 5566905/78152*c_1001_6^9 + 12049523/156304*c_1001_6^8 + 39672689/156304*c_1001_6^7 - 15259681/78152*c_1001_6^6 - 107161851/156304*c_1001_6^5 + 12429635/39076*c_1001_6^4 + 165133095/156304*c_1001_6^3 - 45105213/156304*c_1001_6^2 - 56077349/78152*c_1001_6 + 27400935/156304, c_0011_0 - 1, c_0011_3 - 2791/9769*c_1001_6^9 - 3583/19538*c_1001_6^8 + 25517/19538*c_1001_6^7 + 8581/9769*c_1001_6^6 - 59021/19538*c_1001_6^5 - 26428/9769*c_1001_6^4 + 74111/19538*c_1001_6^3 + 69323/19538*c_1001_6^2 - 14954/9769*c_1001_6 - 24665/19538, c_0011_4 - 5958/9769*c_1001_6^9 + 2987/9769*c_1001_6^8 + 21198/9769*c_1001_6^7 - 1640/9769*c_1001_6^6 - 50935/9769*c_1001_6^5 - 10564/9769*c_1001_6^4 + 67962/9769*c_1001_6^3 + 24101/9769*c_1001_6^2 - 30281/9769*c_1001_6 - 8374/9769, c_0011_8 - c_1001_6, c_0101_0 + 2771/9769*c_1001_6^9 - 2785/19538*c_1001_6^8 - 22443/19538*c_1001_6^7 + 1435/9769*c_1001_6^6 + 57387/19538*c_1001_6^5 + 4359/9769*c_1001_6^4 - 94511/19538*c_1001_6^3 - 25081/19538*c_1001_6^2 + 27717/9769*c_1001_6 + 19539/19538, c_0101_1 + 8918/9769*c_1001_6^9 - 667/9769*c_1001_6^8 - 33756/9769*c_1001_6^7 - 5609/9769*c_1001_6^6 + 83930/9769*c_1001_6^5 + 33468/9769*c_1001_6^4 - 111633/9769*c_1001_6^3 - 54701/9769*c_1001_6^2 + 56081/9769*c_1001_6 + 16476/9769, c_0101_6 - 2328/9769*c_1001_6^9 + 4512/9769*c_1001_6^8 + 10880/9769*c_1001_6^7 - 12279/9769*c_1001_6^6 - 34531/9769*c_1001_6^5 + 23861/9769*c_1001_6^4 + 63152/9769*c_1001_6^3 - 9993/9769*c_1001_6^2 - 55935/9769*c_1001_6 - 7217/9769, c_0101_8 + 464/9769*c_1001_6^9 + 3532/9769*c_1001_6^8 - 490/9769*c_1001_6^7 - 9638/9769*c_1001_6^6 - 6445/9769*c_1001_6^5 + 21597/9769*c_1001_6^4 + 21722/9769*c_1001_6^3 - 16942/9769*c_1001_6^2 - 28431/9769*c_1001_6 - 3060/9769, c_1001_0 + 2771/9769*c_1001_6^9 - 2785/19538*c_1001_6^8 - 22443/19538*c_1001_6^7 + 1435/9769*c_1001_6^6 + 57387/19538*c_1001_6^5 + 4359/9769*c_1001_6^4 - 94511/19538*c_1001_6^3 - 25081/19538*c_1001_6^2 + 27717/9769*c_1001_6 + 19539/19538, c_1001_6^10 - 1/2*c_1001_6^9 - 4*c_1001_6^8 + 1/2*c_1001_6^7 + 21/2*c_1001_6^6 + 3/2*c_1001_6^5 - 31/2*c_1001_6^4 - 5*c_1001_6^3 + 19/2*c_1001_6^2 + 7/2*c_1001_6 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB