Magma V2.19-8 Tue Aug 20 2013 23:49:00 on localhost [Seed = 3835858544] Type ? for help. Type -D to quit. Loading file "L12n1319__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1319 geometric_solution 11.04124910 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 1 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 0 0 0 -1 -1 2 -1 0 1 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 0.919695053820 1.235754675737 0 5 5 6 0132 0132 1302 0132 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 -1 1 1 0 -1 0 0 1 0 -1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517289526221 0.968069576770 7 0 8 6 0132 0132 0132 2031 0 0 1 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 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 0 0 0 0.849547999593 0.436029742134 9 8 10 0 0132 1230 0132 0132 0 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 -1 0 1 1 0 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 0.961540558377 1.055036937407 7 9 0 11 1302 0321 0132 0132 0 1 0 1 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 0 0 0 0 1 -2 1 0 0 0 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 -0.110274659075 0.561842903108 1 1 7 9 2031 0132 1023 2031 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 0 0 1 0 0 -1 -2 1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570623991779 0.803545847120 8 2 1 11 0213 1302 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 1 -1 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 0.277670739228 0.635754396994 2 4 5 10 0132 2031 1023 2310 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 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 0.889725340925 0.561842903108 6 9 3 2 0213 0213 3012 0132 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 0 -1 1 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 1.086712580792 1.141981125194 3 5 8 4 0132 1302 0213 0321 0 1 0 1 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 0 -1 -1 0 0 1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.947715255208 0.962844151935 7 11 11 3 3201 2103 0132 0132 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.052284744792 0.962844151935 6 10 4 10 3120 2103 0132 0132 0 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 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 0.350838064935 0.745256314132 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0011_11']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_3_10' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0011_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' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_10'], 'c_0110_10' : negation(d['c_0011_4']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0101_10']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0011_8'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : d['c_0011_6'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0011_8'], 'c_1100_9' : d['c_1001_2'], 'c_0110_3' : d['c_0011_8'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(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 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_6, c_0011_8, c_0101_10, c_0101_11, c_0101_7, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 2092525534837/61894399864*c_1100_0^9 - 7413086352693/30947199932*c_1100_0^8 + 7188986303888/7736799983*c_1100_0^7 - 37479918646645/15473599966*c_1100_0^6 + 246310607568173/61894399864*c_1100_0^5 - 181593563370363/30947199932*c_1100_0^4 + 51241672885111/7736799983*c_1100_0^3 - 327063319420975/61894399864*c_1100_0^2 + 253169766631999/61894399864*c_1100_0 - 11817200952608/7736799983, c_0011_0 - 1, c_0011_10 - 170382/527641*c_1100_0^9 + 1230782/527641*c_1100_0^8 - 4853917/527641*c_1100_0^7 + 12907378/527641*c_1100_0^6 - 21897441/527641*c_1100_0^5 + 32594281/527641*c_1100_0^4 - 37639093/527641*c_1100_0^3 + 30911950/527641*c_1100_0^2 - 23604044/527641*c_1100_0 + 9833748/527641, c_0011_11 + 46854/527641*c_1100_0^9 - 329390/527641*c_1100_0^8 + 1281433/527641*c_1100_0^7 - 3356933/527641*c_1100_0^6 + 5565055/527641*c_1100_0^5 - 8356914/527641*c_1100_0^4 + 9408710/527641*c_1100_0^3 - 7484315/527641*c_1100_0^2 + 5799591/527641*c_1100_0 - 2107514/527641, c_0011_3 - 374281/527641*c_1100_0^9 + 2671900/527641*c_1100_0^8 - 10410777/527641*c_1100_0^7 + 27246273/527641*c_1100_0^6 - 45079991/527641*c_1100_0^5 + 66383450/527641*c_1100_0^4 - 75586111/527641*c_1100_0^3 + 61044841/527641*c_1100_0^2 - 46781064/527641*c_1100_0 + 19103371/527641, c_0011_4 + 269003/527641*c_1100_0^9 - 1939867/527641*c_1100_0^8 + 7613663/527641*c_1100_0^7 - 20028301/527641*c_1100_0^6 + 33333868/527641*c_1100_0^5 - 48642216/527641*c_1100_0^4 + 55077206/527641*c_1100_0^3 - 44485197/527641*c_1100_0^2 + 33308458/527641*c_1100_0 - 13519644/527641, c_0011_6 - 1, c_0011_8 + 46854/527641*c_1100_0^9 - 329390/527641*c_1100_0^8 + 1281433/527641*c_1100_0^7 - 3356933/527641*c_1100_0^6 + 5565055/527641*c_1100_0^5 - 8356914/527641*c_1100_0^4 + 9408710/527641*c_1100_0^3 - 8011956/527641*c_1100_0^2 + 6327232/527641*c_1100_0 - 2107514/527641, c_0101_10 - 46854/527641*c_1100_0^9 + 329390/527641*c_1100_0^8 - 1281433/527641*c_1100_0^7 + 3356933/527641*c_1100_0^6 - 5565055/527641*c_1100_0^5 + 8356914/527641*c_1100_0^4 - 9408710/527641*c_1100_0^3 + 8011956/527641*c_1100_0^2 - 6327232/527641*c_1100_0 + 2635155/527641, c_0101_11 - 147053/527641*c_1100_0^9 + 1033690/527641*c_1100_0^8 - 4008187/527641*c_1100_0^7 + 10473278/527641*c_1100_0^6 - 17334315/527641*c_1100_0^5 + 26103818/527641*c_1100_0^4 - 29576632/527641*c_1100_0^3 + 24163037/527641*c_1100_0^2 - 18851392/527641*c_1100_0 + 7317108/527641, c_0101_7 + 421135/527641*c_1100_0^9 - 3001290/527641*c_1100_0^8 + 11692210/527641*c_1100_0^7 - 30603206/527641*c_1100_0^6 + 50645046/527641*c_1100_0^5 - 74740364/527641*c_1100_0^4 + 84994821/527641*c_1100_0^3 - 68529156/527641*c_1100_0^2 + 52580655/527641*c_1100_0 - 21210885/527641, c_1001_2 + 46854/527641*c_1100_0^9 - 329390/527641*c_1100_0^8 + 1281433/527641*c_1100_0^7 - 3356933/527641*c_1100_0^6 + 5565055/527641*c_1100_0^5 - 8356914/527641*c_1100_0^4 + 9408710/527641*c_1100_0^3 - 8011956/527641*c_1100_0^2 + 6327232/527641*c_1100_0 - 2635155/527641, c_1100_0^10 - 8*c_1100_0^9 + 34*c_1100_0^8 - 97*c_1100_0^7 + 184*c_1100_0^6 - 283*c_1100_0^5 + 357*c_1100_0^4 - 339*c_1100_0^3 + 267*c_1100_0^2 - 158*c_1100_0 + 43 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.330 seconds, Total memory usage: 32.09MB