Magma V2.19-8 Tue Aug 20 2013 23:45:23 on localhost [Seed = 1814694307] Type ? for help. Type -D to quit. Loading file "L9a15__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L9a15 geometric_solution 10.24919497 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 1 3 0132 0132 3012 0132 1 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746804394247 0.803062279383 0 0 5 4 0132 1230 0132 0132 1 1 0 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 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357107927883 1.132641720614 4 0 6 4 0132 0132 0132 2031 1 1 0 1 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 1 0 -1 -7 0 6 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 0.379021822946 0.667757386209 4 6 0 7 3012 0132 0132 0132 1 1 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 7 -7 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.697757615432 0.506189243613 2 2 1 3 0132 1302 0132 1230 1 1 1 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 7 0 0 -7 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357107927883 1.132641720614 6 8 7 1 2103 0132 1302 0132 1 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637012054342 1.589774337676 9 3 5 2 0132 0132 2103 0132 1 1 1 1 0 0 0 0 1 0 0 -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 6 0 0 -6 -1 1 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.621538017008 0.737662561777 5 9 3 8 2031 0321 0132 3012 1 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 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 0.223210198488 1.458005133219 10 5 7 10 0132 0132 1230 0213 1 1 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 -1 0 1 0 0 0 0 -6 7 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452952674634 0.693094390076 6 10 10 7 0132 1230 2310 0321 1 1 1 1 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 1 0 -1 -6 0 6 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 0.452952674634 0.693094390076 8 9 9 8 0132 3201 3012 0213 1 1 1 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 1 0 -1 0 0 -1 1 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452952674634 0.693094390076 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : d['c_0110_7'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_7']), 'c_1001_8' : d['c_1001_1'], 'c_1010_10' : d['c_0110_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : 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_1100_9' : d['c_0011_10'], 'c_1100_8' : d['c_0110_7'], 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : d['c_0101_7'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0101_1']), 'c_1100_10' : d['c_0110_7'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0011_10'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_0110_7'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0011_3'], '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_10' : negation(d['c_0101_10']), 'c_0011_6' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], '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_3'], 'c_0101_8' : negation(d['c_0101_10']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0110_7'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_0110_7, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 413944194113814383616/311268890311714375*c_1001_2^9 - 78496915539181445632/311268890311714375*c_1001_2^8 - 19607710163295437824/62253778062342875*c_1001_2^7 - 338135098910092183552/311268890311714375*c_1001_2^6 - 785882967580828279616/311268890311714375*c_1001_2^5 - 11632312179356168032/12450755612468575*c_1001_2^4 - 41374554544389030144/311268890311714375*c_1001_2^3 - 565511565965668897568/311268890311714375*c_1001_2^2 - 15423824289639319324/12450755612468575*c_1001_2 - 141239553066756296066/311268890311714375, c_0011_0 - 1, c_0011_10 - 1338140160/62874665383*c_1001_2^9 - 26410502144/62874665383*c_1001_2^8 + 22268105088/62874665383*c_1001_2^7 - 51220726784/62874665383*c_1001_2^6 + 15090790368/62874665383*c_1001_2^5 - 89145829504/62874665383*c_1001_2^4 + 37216872256/62874665383*c_1001_2^3 - 24450257778/62874665383*c_1001_2^2 + 11138942886/62874665383*c_1001_2 - 27038374477/62874665383, c_0011_3 - 669070080/62874665383*c_1001_2^9 - 13205251072/62874665383*c_1001_2^8 + 11134052544/62874665383*c_1001_2^7 - 25610363392/62874665383*c_1001_2^6 + 7545395184/62874665383*c_1001_2^5 - 44572914752/62874665383*c_1001_2^4 + 18608436128/62874665383*c_1001_2^3 - 75099794272/62874665383*c_1001_2^2 + 5569471443/62874665383*c_1001_2 - 44956519930/62874665383, c_0011_7 + 178410694144/62874665383*c_1001_2^9 - 180545880960/62874665383*c_1001_2^8 + 283759709952/62874665383*c_1001_2^7 - 107329801344/62874665383*c_1001_2^6 + 411124869280/62874665383*c_1001_2^5 - 271593500816/62874665383*c_1001_2^4 + 344696983952/62874665383*c_1001_2^3 - 44563802452/62874665383*c_1001_2^2 + 64354153516/62874665383*c_1001_2 + 14058270657/62874665383, c_0101_0 + 103079668224/62874665383*c_1001_2^9 - 102410598144/62874665383*c_1001_2^8 + 167824753408/62874665383*c_1001_2^7 - 62673886656/62874665383*c_1001_2^6 + 251097137632/62874665383*c_1001_2^5 - 155722418256/62874665383*c_1001_2^4 + 247511011568/62874665383*c_1001_2^3 - 28272155024/62874665383*c_1001_2^2 + 139927241866/62874665383*c_1001_2 + 6912832131/62874665383, c_0101_1 - 1, c_0101_10 + 28298522112/62874665383*c_1001_2^9 - 140903020544/62874665383*c_1001_2^8 + 172957241088/62874665383*c_1001_2^7 - 147776256512/62874665383*c_1001_2^6 + 151355955072/62874665383*c_1001_2^5 - 246116822328/62874665383*c_1001_2^4 + 259619854000/62874665383*c_1001_2^3 - 131402103864/62874665383*c_1001_2^2 + 68275906272/62874665383*c_1001_2 - 13892351411/62874665383, c_0101_7 + c_1001_2, c_0110_7 - 95164767232/62874665383*c_1001_2^9 + 107719934976/62874665383*c_1001_2^8 - 128090319360/62874665383*c_1001_2^7 + 53275885440/62874665383*c_1001_2^6 - 137916651328/62874665383*c_1001_2^5 + 152039493728/62874665383*c_1001_2^4 - 145220527932/62874665383*c_1001_2^3 + 8622279664/62874665383*c_1001_2^2 + 16274848685/62874665383*c_1001_2 - 14756089842/62874665383, c_1001_1 + 669070080/62874665383*c_1001_2^9 + 13205251072/62874665383*c_1001_2^8 - 11134052544/62874665383*c_1001_2^7 + 25610363392/62874665383*c_1001_2^6 - 7545395184/62874665383*c_1001_2^5 + 44572914752/62874665383*c_1001_2^4 - 18608436128/62874665383*c_1001_2^3 + 75099794272/62874665383*c_1001_2^2 - 5569471443/62874665383*c_1001_2 + 44956519930/62874665383, c_1001_2^10 - c_1001_2^9 + 3/2*c_1001_2^8 - 1/2*c_1001_2^7 + 35/16*c_1001_2^6 - 23/16*c_1001_2^5 + 63/32*c_1001_2^4 - 3/32*c_1001_2^3 + 161/256*c_1001_2^2 + 31/256*c_1001_2 + 89/512 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB