Magma V2.19-8 Tue Aug 20 2013 23:52:59 on localhost [Seed = 2101024443] Type ? for help. Type -D to quit. Loading file "L13n4557__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4557 geometric_solution 11.61496514 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 1 1 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 1 0 -1 0 0 1 -1 0 0 0 0 -4 -1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.815884960307 1.114308563532 0 5 7 6 0132 0132 0132 0132 0 1 1 1 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 0 0 0 0 0 0 0 4 0 0 -4 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298037152071 0.677445531457 6 0 8 3 3012 0132 0132 3012 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 0 0 0 -1 -2 3 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 0.489792136219 0.846908276492 9 5 2 0 0132 1230 1230 0132 0 1 1 0 0 0 0 0 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 0 0 0 0 1 -1 5 0 0 -5 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.792529175729 0.800671443170 10 11 0 7 0132 0132 0132 0132 0 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 1 -1 -1 0 1 0 1 -1 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593664632771 0.604155885125 9 1 3 11 3201 0132 3012 3120 0 0 1 1 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 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489792136219 0.846908276492 9 7 1 2 2103 3012 0132 1230 0 1 1 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 0 0 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 0.737600543381 0.711838516224 6 10 4 1 1230 3120 0132 0132 0 1 1 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 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 0.711043762579 0.688405297987 10 11 11 2 2310 0321 1023 0132 0 0 1 0 0 0 -1 1 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 -2 2 0 0 0 0 5 -5 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.991152395375 1.192877186738 3 10 6 5 0132 1302 2103 2310 1 1 0 1 0 -1 0 1 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 -4 0 4 0 0 0 0 -2 2 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.815884960307 1.114308563532 4 7 8 9 0132 3120 3201 2031 0 1 1 0 0 0 1 -1 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 0 2 -2 1 0 -5 4 5 0 0 -5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.172525990719 0.842097145255 5 4 8 8 3120 0132 1023 0321 0 0 1 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 0 0 0 0 0 2 -2 0 -5 0 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587936514009 0.495928914888 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0011_3']), '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' : d['c_0101_10'], '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_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_0'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_0110_2'], 'c_1100_7' : d['c_0110_2'], 'c_1100_6' : d['c_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : negation(d['c_0101_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : negation(d['c_0011_8']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_8'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0101_11']), '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'], '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_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_3'], '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' : negation(d['c_0011_8']), 'c_0110_10' : d['c_0011_6'], 'c_0110_0' : d['c_0011_6'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_10']), 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_10']), '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_0110_2'], 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_6'], 'c_0110_6' : negation(d['c_0011_0'])})} 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_10, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0101_8, c_0110_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 3067434064896/1520904823489*c_1001_2^7 + 16457814083200/1520904823489*c_1001_2^6 - 32554735968640/1520904823489*c_1001_2^5 + 43424047497600/1520904823489*c_1001_2^4 - 31229651100416/1520904823489*c_1001_2^3 - 10013338167200/1520904823489*c_1001_2^2 + 18112158116256/1520904823489*c_1001_2 - 78003779940320/1520904823489, c_0011_0 - 1, c_0011_10 + 838104/15109777*c_1001_2^7 - 4196472/15109777*c_1001_2^6 + 3554724/15109777*c_1001_2^5 + 3510036/15109777*c_1001_2^4 - 232976/15109777*c_1001_2^3 + 11448498/15109777*c_1001_2^2 - 423721/15109777*c_1001_2 - 1791454/15109777, c_0011_3 - 125528/15109777*c_1001_2^7 - 1133360/15109777*c_1001_2^6 + 5007680/15109777*c_1001_2^5 - 3339900/15109777*c_1001_2^4 + 7106402/15109777*c_1001_2^3 - 9908892/15109777*c_1001_2^2 - 648447/15109777*c_1001_2 - 1067957/15109777, c_0011_6 - 6179568/468403087*c_1001_2^7 + 68751432/468403087*c_1001_2^6 - 219311864/468403087*c_1001_2^5 + 237439252/468403087*c_1001_2^4 - 305169776/468403087*c_1001_2^3 + 538550752/468403087*c_1001_2^2 + 6646262/468403087*c_1001_2 + 418857560/468403087, c_0011_8 - 1746272/15109777*c_1001_2^7 + 6704952/15109777*c_1001_2^6 - 6101640/15109777*c_1001_2^5 + 8903512/15109777*c_1001_2^4 - 8806328/15109777*c_1001_2^3 - 4363362/15109777*c_1001_2^2 - 16455815/15109777*c_1001_2 - 4265215/15109777, c_0101_0 + 6923744/468403087*c_1001_2^7 - 37765912/468403087*c_1001_2^6 + 61312248/468403087*c_1001_2^5 - 105616248/468403087*c_1001_2^4 + 185830432/468403087*c_1001_2^3 - 64100082/468403087*c_1001_2^2 + 307536284/468403087*c_1001_2 + 17701253/468403087, c_0101_10 + 347896/15109777*c_1001_2^7 - 741584/15109777*c_1001_2^6 - 601324/15109777*c_1001_2^5 - 3832124/15109777*c_1001_2^4 + 10790212/15109777*c_1001_2^3 - 1578782/15109777*c_1001_2^2 + 8955777/15109777*c_1001_2 + 2419582/15109777, c_0101_11 + 1287576/15109777*c_1001_2^7 - 4768208/15109777*c_1001_2^6 + 4694392/15109777*c_1001_2^5 - 4215738/15109777*c_1001_2^4 - 1257904/15109777*c_1001_2^3 + 846421/15109777*c_1001_2^2 + 6657081/15109777*c_1001_2 - 7836145/30219554, c_0101_3 + 1, c_0101_8 - 823376/15109777*c_1001_2^7 + 6524992/15109777*c_1001_2^6 - 10570976/15109777*c_1001_2^5 + 685514/15109777*c_1001_2^4 - 6147446/15109777*c_1001_2^3 - 6635329/15109777*c_1001_2^2 - 14880566/15109777*c_1001_2 + 4650594/15109777, c_0110_2 - 125528/15109777*c_1001_2^7 - 1133360/15109777*c_1001_2^6 + 5007680/15109777*c_1001_2^5 - 3339900/15109777*c_1001_2^4 + 7106402/15109777*c_1001_2^3 - 9908892/15109777*c_1001_2^2 - 648447/15109777*c_1001_2 - 16177734/15109777, c_1001_2^8 - 4*c_1001_2^7 + 4*c_1001_2^6 - 6*c_1001_2^5 + 15/2*c_1001_2^4 + 3*c_1001_2^3 + 11*c_1001_2^2 + 9/2*c_1001_2 + 191/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.410 seconds, Total memory usage: 32.09MB