Magma V2.19-8 Tue Aug 20 2013 23:55:34 on localhost [Seed = 2328683212] Type ? for help. Type -D to quit. Loading file "K12n653__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n653 geometric_solution 11.74921206 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507827170353 0.314607045845 0 4 5 3 0132 2103 0132 3201 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 -13 13 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 0.582267102136 0.907639744754 6 0 7 3 0132 0132 0132 2310 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 -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 0.592408298214 1.551749200928 2 1 8 0 3201 2310 0132 0132 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 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.182783858435 0.949304480009 9 1 0 10 0132 2103 0132 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 0 -1 1 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 0.602202746976 0.887258122835 9 8 7 1 3120 3012 1023 0132 0 0 0 0 0 1 0 -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 -13 0 13 0 0 0 0 0 0 0 0 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362418721823 0.713229620368 2 7 11 10 0132 3120 0132 0321 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 1 0 -1 0 0 -14 14 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526446729428 0.344109057453 12 6 5 2 0132 3120 1023 0132 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 -1 0 1 0 0 0 0 0 0 0 0 14 -1 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.251453726718 0.676657295394 5 11 10 3 1230 0213 0132 0132 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 0 0 0 13 0 0 -13 13 -14 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.421671806393 1.107503580325 4 12 11 5 0132 2103 0213 3120 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 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 0.806520744054 1.153028561510 12 6 4 8 2031 0321 0132 0132 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 1 -1 0 0 0 0 0 0 1 0 -1 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.667991809425 1.187638867301 12 9 8 6 3201 0213 0213 0132 0 0 0 0 0 0 0 0 1 0 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 -14 0 0 14 -1 0 0 1 -14 0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.591299219840 1.869453061581 7 9 10 11 0132 2103 1302 2310 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 -14 14 -14 0 0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.218323668499 0.780973728125 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_4']), 'c_1001_5' : negation(d['c_0011_8']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : d['c_0011_5'], 'c_1010_11' : negation(d['c_0101_5']), 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : d['c_0011_11'], '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_12' : 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' : negation(d['c_0101_5']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_10'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_1001_10']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_5']), 'c_1010_8' : d['c_1001_10'], 'c_1100_8' : d['c_1100_0'], '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'], 'c_1100_12' : d['c_0011_11'], '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_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), '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_0110_11' : negation(d['c_0011_5']), 'c_0110_10' : negation(d['c_0011_4']), 'c_0110_12' : negation(d['c_0011_8']), 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : negation(d['c_0011_4']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0011_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_4, c_0011_5, c_0011_8, c_0101_0, c_0101_1, c_0101_5, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 12907309/372643*c_1100_0^12 + 61138755/372643*c_1100_0^11 + 160467871/372643*c_1100_0^10 + 288952091/372643*c_1100_0^9 + 346600460/372643*c_1100_0^8 + 411218918/372643*c_1100_0^7 + 528296164/372643*c_1100_0^6 + 366279981/372643*c_1100_0^5 - 33332505/372643*c_1100_0^4 - 202230992/372643*c_1100_0^3 - 120192334/372643*c_1100_0^2 + 31877001/372643*c_1100_0 + 16503547/372643, c_0011_0 - 1, c_0011_10 - 1650/53*c_1100_0^12 - 7442/53*c_1100_0^11 - 20335/53*c_1100_0^10 - 36901/53*c_1100_0^9 - 47187/53*c_1100_0^8 - 57532/53*c_1100_0^7 - 71081/53*c_1100_0^6 - 55069/53*c_1100_0^5 - 9000/53*c_1100_0^4 + 21576/53*c_1100_0^3 + 16212/53*c_1100_0^2 + 379/53*c_1100_0 - 3057/53, c_0011_11 + 7623/53*c_1100_0^12 + 34187/53*c_1100_0^11 + 92840/53*c_1100_0^10 + 167115/53*c_1100_0^9 + 210956/53*c_1100_0^8 + 255289/53*c_1100_0^7 + 314946/53*c_1100_0^6 + 237339/53*c_1100_0^5 + 24567/53*c_1100_0^4 - 109590/53*c_1100_0^3 - 76199/53*c_1100_0^2 + 881/53*c_1100_0 + 15619/53, c_0011_12 - 943/53*c_1100_0^12 - 4319/53*c_1100_0^11 - 11876/53*c_1100_0^10 - 21755/53*c_1100_0^9 - 28086/53*c_1100_0^8 - 34241/53*c_1100_0^7 - 42395/53*c_1100_0^6 - 33614/53*c_1100_0^5 - 6565/53*c_1100_0^4 + 12167/53*c_1100_0^3 + 9716/53*c_1100_0^2 + 419/53*c_1100_0 - 1806/53, c_0011_3 + 6518/53*c_1100_0^12 + 29268/53*c_1100_0^11 + 79563/53*c_1100_0^10 + 143401/53*c_1100_0^9 + 181356/53*c_1100_0^8 + 219613/53*c_1100_0^7 + 270950/53*c_1100_0^6 + 205034/53*c_1100_0^5 + 22852/53*c_1100_0^4 - 93037/53*c_1100_0^3 - 65418/53*c_1100_0^2 + 410/53*c_1100_0 + 13260/53, c_0011_4 + 7257/53*c_1100_0^12 + 32590/53*c_1100_0^11 + 88550/53*c_1100_0^10 + 159515/53*c_1100_0^9 + 201519/53*c_1100_0^8 + 243830/53*c_1100_0^7 + 300884/53*c_1100_0^6 + 227225/53*c_1100_0^5 + 24098/53*c_1100_0^4 - 104392/53*c_1100_0^3 - 72833/53*c_1100_0^2 + 739/53*c_1100_0 + 14880/53, c_0011_5 + 7257/53*c_1100_0^12 + 32590/53*c_1100_0^11 + 88550/53*c_1100_0^10 + 159515/53*c_1100_0^9 + 201519/53*c_1100_0^8 + 243830/53*c_1100_0^7 + 300884/53*c_1100_0^6 + 227225/53*c_1100_0^5 + 24098/53*c_1100_0^4 - 104392/53*c_1100_0^3 - 72833/53*c_1100_0^2 + 739/53*c_1100_0 + 14880/53, c_0011_8 + 3039/53*c_1100_0^12 + 13723/53*c_1100_0^11 + 37503/53*c_1100_0^10 + 68093/53*c_1100_0^9 + 87100/53*c_1100_0^8 + 106183/53*c_1100_0^7 + 131241/53*c_1100_0^6 + 101750/53*c_1100_0^5 + 16745/53*c_1100_0^4 - 39725/53*c_1100_0^3 - 29975/53*c_1100_0^2 - 702/53*c_1100_0 + 5650/53, c_0101_0 - 2306/53*c_1100_0^12 - 10329/53*c_1100_0^11 - 27979/53*c_1100_0^10 - 50173/53*c_1100_0^9 - 62916/53*c_1100_0^8 - 75720/53*c_1100_0^7 - 93326/53*c_1100_0^6 - 69362/53*c_1100_0^5 - 4633/53*c_1100_0^4 + 35181/53*c_1100_0^3 + 23471/53*c_1100_0^2 - 696/53*c_1100_0 - 5030/53, c_0101_1 + 725/53*c_1100_0^12 + 3278/53*c_1100_0^11 + 8968/53*c_1100_0^10 + 16300/53*c_1100_0^9 + 20871/53*c_1100_0^8 + 25435/53*c_1100_0^7 + 31402/53*c_1100_0^6 + 24413/53*c_1100_0^5 + 4075/53*c_1100_0^4 - 9596/53*c_1100_0^3 - 7268/53*c_1100_0^2 - 185/53*c_1100_0 + 1336/53, c_0101_5 - 7623/53*c_1100_0^12 - 34187/53*c_1100_0^11 - 92840/53*c_1100_0^10 - 167115/53*c_1100_0^9 - 210956/53*c_1100_0^8 - 255289/53*c_1100_0^7 - 314946/53*c_1100_0^6 - 237339/53*c_1100_0^5 - 24567/53*c_1100_0^4 + 109590/53*c_1100_0^3 + 76199/53*c_1100_0^2 - 828/53*c_1100_0 - 15619/53, c_1001_10 + 1650/53*c_1100_0^12 + 7442/53*c_1100_0^11 + 20335/53*c_1100_0^10 + 36901/53*c_1100_0^9 + 47187/53*c_1100_0^8 + 57532/53*c_1100_0^7 + 71081/53*c_1100_0^6 + 55069/53*c_1100_0^5 + 9000/53*c_1100_0^4 - 21576/53*c_1100_0^3 - 16212/53*c_1100_0^2 - 379/53*c_1100_0 + 3057/53, c_1100_0^13 + 4*c_1100_0^12 + 10*c_1100_0^11 + 16*c_1100_0^10 + 17*c_1100_0^9 + 20*c_1100_0^8 + 25*c_1100_0^7 + 11*c_1100_0^6 - 12*c_1100_0^5 - 16*c_1100_0^4 - 3*c_1100_0^3 + 5*c_1100_0^2 + 2*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.320 Total time: 3.520 seconds, Total memory usage: 32.09MB