Magma V2.19-8 Tue Aug 20 2013 23:47:18 on localhost [Seed = 695157608] Type ? for help. Type -D to quit. Loading file "L10a105__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a105 geometric_solution 10.87766351 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 1 0 0 0 0 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 1 0 -1 -2 0 2 0 1 -2 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.058333607038 0.958167216315 0 5 2 6 0132 0132 2103 0132 0 0 0 1 0 0 0 0 -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 0 0 0 0 2 0 0 -2 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.816967131698 0.664834945474 1 0 3 7 2103 0132 0213 0132 0 0 0 1 0 0 0 0 0 0 1 -1 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 -1 0 1 0 0 -1 1 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.857171697783 0.545052814038 4 2 8 0 0213 0213 0132 0132 0 0 0 1 0 0 0 0 0 0 -1 1 0 -1 0 1 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 2 -2 0 1 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.071557329072 0.566710628061 3 9 0 6 0213 0132 0132 2310 0 0 0 1 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 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 0.638029428213 0.919860369261 10 1 11 10 0132 0132 0132 2031 0 0 1 0 0 0 0 0 0 0 -1 1 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 2 -2 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.714343395567 1.090105628076 4 11 1 11 3201 2103 0132 3120 0 0 0 0 0 -1 0 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 2 0 -2 0 0 2 -2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.980046795685 1.277825429467 8 9 2 10 0321 1023 0132 0132 0 0 1 0 0 1 0 -1 -1 0 1 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 -1 -1 2 1 0 -1 0 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449877725272 1.716796435490 7 9 11 3 0321 0321 0321 0132 0 0 1 0 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 0 0 2 -2 -2 0 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640305305001 0.594277681739 7 4 10 8 1023 0132 2031 0321 0 0 1 0 0 0 0 0 -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 0 0 0 0 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 -0.420544180053 0.641760783925 5 5 7 9 0132 1302 0132 1302 0 0 0 1 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 2 -2 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 0.579455819947 0.641760783925 6 6 8 5 3120 2103 0321 0132 0 0 0 0 0 0 0 0 -1 0 0 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 0 0 0 2 0 0 -2 1 -2 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.683291226906 0.681305328067 ==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' : negation(d['c_0011_8']), 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_9'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_5']), 'c_1001_8' : d['c_1001_8'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : negation(d['c_1001_8']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_8']), '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' : negation(d['1']), 's_2_7' : 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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_6'], 'c_1100_5' : d['c_1001_8'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0101_9'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_8'], 'c_1100_10' : d['c_0101_9'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0101_9'], 'c_1010_2' : d['c_0101_9'], 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : negation(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' : negation(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' : 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_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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_5'], 'c_0110_10' : d['c_0101_5'], 'c_0110_0' : d['c_0011_3'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_11']), 'c_0011_10' : negation(d['c_0011_0']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_8'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0101_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_4, c_0011_6, c_0011_8, c_0101_0, c_0101_11, c_0101_5, c_0101_9, c_1001_2, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 17060199/1166*c_1001_8^3 + 57540227/3498*c_1001_8^2 + 25682065/3498*c_1001_8 + 3172263/2332, c_0011_0 - 1, c_0011_11 - 1096/53*c_1001_8^3 - 645/53*c_1001_8^2 - 46/53*c_1001_8 + 14/53, c_0011_3 - 24934/159*c_1001_8^3 - 16489/159*c_1001_8^2 - 5578/159*c_1001_8 - 238/159, c_0011_4 - 23564/159*c_1001_8^3 - 17498/159*c_1001_8^2 - 5441/159*c_1001_8 - 335/159, c_0011_6 + 3151/53*c_1001_8^3 + 2762/53*c_1001_8^2 + 1020/53*c_1001_8 + 132/53, c_0011_8 + 14659/159*c_1001_8^3 + 13165/159*c_1001_8^2 + 4948/159*c_1001_8 + 568/159, c_0101_0 - 1, c_0101_11 - 2*c_1001_8, c_0101_5 - 2192/53*c_1001_8^3 - 1290/53*c_1001_8^2 - 304/53*c_1001_8 - 25/53, c_0101_9 + 1096/53*c_1001_8^3 + 645/53*c_1001_8^2 + 258/53*c_1001_8 + 39/53, c_1001_2 + 14659/159*c_1001_8^3 + 13165/159*c_1001_8^2 + 4948/159*c_1001_8 + 727/159, c_1001_8^4 + 132/137*c_1001_8^3 + 60/137*c_1001_8^2 + 12/137*c_1001_8 + 1/137 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_4, c_0011_6, c_0011_8, c_0101_0, c_0101_11, c_0101_5, c_0101_9, c_1001_2, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 208785/1154048*c_1001_8^6 - 69219/72128*c_1001_8^5 + 2742275/1154048*c_1001_8^4 + 5263415/577024*c_1001_8^3 - 5990531/288512*c_1001_8^2 + 1168123/72128*c_1001_8 + 386647/144256, c_0011_0 - 1, c_0011_11 - 59/368*c_1001_8^6 - 191/184*c_1001_8^5 + 359/368*c_1001_8^4 + 1851/184*c_1001_8^3 - 587/92*c_1001_8^2 - 42/23*c_1001_8 + 93/46, c_0011_3 + 677/1288*c_1001_8^6 + 556/161*c_1001_8^5 - 3873/1288*c_1001_8^4 - 10793/322*c_1001_8^3 + 3145/161*c_1001_8^2 + 1066/161*c_1001_8 - 988/161, c_0011_4 + 383/1288*c_1001_8^6 + 587/322*c_1001_8^5 - 3383/1288*c_1001_8^4 - 3006/161*c_1001_8^3 + 6353/322*c_1001_8^2 + 541/161*c_1001_8 - 1114/161, c_0011_6 + 307/2576*c_1001_8^6 + 965/1288*c_1001_8^5 - 2367/2576*c_1001_8^4 - 9757/1288*c_1001_8^3 + 4181/644*c_1001_8^2 + 270/161*c_1001_8 - 795/322, c_0011_8 - 129/1288*c_1001_8^6 - 395/644*c_1001_8^5 + 1089/1288*c_1001_8^4 + 3867/644*c_1001_8^3 - 1068/161*c_1001_8^2 + 136/161*c_1001_8 + 408/161, c_0101_0 - 1, c_0101_11 + 527/2576*c_1001_8^6 + 1731/1288*c_1001_8^5 - 3071/2576*c_1001_8^4 - 16921/1288*c_1001_8^3 + 5113/644*c_1001_8^2 + 496/161*c_1001_8 - 727/322, c_0101_5 - 291/2576*c_1001_8^6 - 921/1288*c_1001_8^5 + 2187/2576*c_1001_8^4 + 9195/1288*c_1001_8^3 - 3961/644*c_1001_8^2 - 75/161*c_1001_8 + 677/322, c_0101_9 + 55/644*c_1001_8^6 + 383/644*c_1001_8^5 - 44/161*c_1001_8^4 - 1791/322*c_1001_8^3 + 233/161*c_1001_8^2 + 226/161*c_1001_8 - 127/161, c_1001_2 - 1, c_1001_8^7 + 7*c_1001_8^6 - 3*c_1001_8^5 - 67*c_1001_8^4 + 10*c_1001_8^3 + 36*c_1001_8^2 - 8*c_1001_8 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB