Magma V2.19-8 Tue Aug 20 2013 23:48:48 on localhost [Seed = 3499539018] Type ? for help. Type -D to quit. Loading file "L12n1023__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1023 geometric_solution 11.25772637 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 3 0132 0132 0132 2031 0 0 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 1 0 -1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.023167952948 0.817788138682 0 4 2 5 0132 0132 1023 0132 1 0 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 0 0 0 0 0 -1 1 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.386340202046 1.001598610286 6 0 1 3 0132 0132 1023 1302 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621904779830 1.673469231600 6 0 2 0 2031 1302 2031 0132 0 0 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 0 0 0 0 0 0 0 1 1 0 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.034614465316 1.221829966019 6 1 7 8 1023 0132 0132 0132 1 0 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 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 0.288479785989 0.519345429227 9 10 1 6 0132 0132 0132 1023 1 0 1 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 -1 0 1 1 0 -1 0 7 -6 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.288479785989 0.519345429227 2 4 3 5 0132 1023 1302 1023 0 1 1 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 1 -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 0.386340202046 1.001598610286 11 10 9 4 0132 0321 0213 0132 1 0 0 1 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 1 0 -1 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581931474222 1.564674374755 9 10 4 11 2103 0213 0132 0321 1 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 0 0 0 0 0 0 0 0 0 0 1 -7 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432749432157 1.006916519334 5 7 8 11 0132 0213 2103 0132 1 0 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 1 -1 0 -1 0 0 1 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581931474222 1.564674374755 11 5 8 7 3012 0132 0213 0321 1 1 0 1 0 0 0 0 0 0 -1 1 0 -1 0 1 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 7 -7 -1 2 0 -1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432749432157 1.006916519334 7 8 9 10 0132 0321 0132 1230 1 0 1 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 -1 1 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.303131949242 0.480421564445 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0101_2'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : d['c_0101_2'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_1001_4'], '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_0'], 'c_0101_10' : 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' : 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_1100_8' : d['c_1001_11'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_1001_11'], 'c_1100_7' : d['c_1001_11'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0011_8'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_4'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_0011_8'], '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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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' : d['c_0011_10'], 'c_0110_10' : d['c_0011_11'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_2']})} 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_8, c_0101_0, c_0101_2, c_0101_3, c_0101_8, c_1001_0, c_1001_11, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 19079349956487280/114661724973095119*c_1001_4^13 + 775927857017211697/229323449946190238*c_1001_4^12 + 2503544578188600384/114661724973095119*c_1001_4^11 + 14662393214792764377/229323449946190238*c_1001_4^10 + 36444601594112723905/229323449946190238*c_1001_4^9 + 67091377242899939403/229323449946190238*c_1001_4^8 + 99076198156647091833/229323449946190238*c_1001_4^7 + 119070701634449700749/229323449946190238*c_1001_4^6 + 114851241309819466479/229323449946190238*c_1001_4^5 + 37559107819920320424/114661724973095119*c_1001_4^4 + 47019545474358043741/458646899892380476*c_1001_4^3 - 11992672734008545297/229323449946190238*c_1001_4^2 - 44131589356609202911/458646899892380476*c_1001_4 - 18272784410340026081/458646899892380476, c_0011_0 - 1, c_0011_10 - 83585621472306/317622506850679*c_1001_4^13 - 765178643232414/317622506850679*c_1001_4^12 - 2196310778627082/317622506850679*c_1001_4^11 - 5934448438587244/317622506850679*c_1001_4^10 - 11116973141348454/317622506850679*c_1001_4^9 - 17425938209770062/317622506850679*c_1001_4^8 - 22069462408328248/317622506850679*c_1001_4^7 - 23681320722218778/317622506850679*c_1001_4^6 - 18488381165409020/317622506850679*c_1001_4^5 - 10713531173379963/317622506850679*c_1001_4^4 - 3505627485370871/317622506850679*c_1001_4^3 + 757270162985321/317622506850679*c_1001_4^2 + 1160780794079529/317622506850679*c_1001_4 + 1171177533934893/317622506850679, c_0011_11 - 130811213464882/317622506850679*c_1001_4^13 - 1216898838997124/317622506850679*c_1001_4^12 - 3603009107200566/317622506850679*c_1001_4^11 - 9676107892892538/317622506850679*c_1001_4^10 - 18363883044935864/317622506850679*c_1001_4^9 - 28831117422399186/317622506850679*c_1001_4^8 - 36501217853586084/317622506850679*c_1001_4^7 - 39141651488586892/317622506850679*c_1001_4^6 - 30648594260965856/317622506850679*c_1001_4^5 - 17475841606248943/317622506850679*c_1001_4^4 - 5589981464565032/317622506850679*c_1001_4^3 + 588435877731947/317622506850679*c_1001_4^2 + 1558621426245973/317622506850679*c_1001_4 + 1437577225990808/317622506850679, c_0011_3 - 89847897587812/317622506850679*c_1001_4^13 - 814893354405814/317622506850679*c_1001_4^12 - 2289649874753194/317622506850679*c_1001_4^11 - 6159543697039434/317622506850679*c_1001_4^10 - 11316347898272660/317622506850679*c_1001_4^9 - 17454658291575762/317622506850679*c_1001_4^8 - 21568049343340346/317622506850679*c_1001_4^7 - 22495094795226504/317622506850679*c_1001_4^6 - 16480689499533186/317622506850679*c_1001_4^5 - 8600759957316298/317622506850679*c_1001_4^4 - 1865174488913717/317622506850679*c_1001_4^3 + 1259430045675571/317622506850679*c_1001_4^2 + 1132690551652068/317622506850679*c_1001_4 + 770949004058429/317622506850679, c_0011_8 - 123608155624576/317622506850679*c_1001_4^13 - 1137255075259750/317622506850679*c_1001_4^12 - 3303887554938476/317622506850679*c_1001_4^11 - 8946176527067834/317622506850679*c_1001_4^10 - 16816213761650106/317622506850679*c_1001_4^9 - 26471997662967182/317622506850679*c_1001_4^8 - 33581703329275048/317622506850679*c_1001_4^7 - 36057102538587790/317622506850679*c_1001_4^6 - 28351572033673360/317622506850679*c_1001_4^5 - 16488209876723728/317622506850679*c_1001_4^4 - 5275755942447125/317622506850679*c_1001_4^3 + 643332001579805/317622506850679*c_1001_4^2 + 1480684959888905/317622506850679*c_1001_4 + 1469492133127011/317622506850679, c_0101_0 - 1, c_0101_2 + 83585621472306/317622506850679*c_1001_4^13 + 765178643232414/317622506850679*c_1001_4^12 + 2196310778627082/317622506850679*c_1001_4^11 + 5934448438587244/317622506850679*c_1001_4^10 + 11116973141348454/317622506850679*c_1001_4^9 + 17425938209770062/317622506850679*c_1001_4^8 + 22069462408328248/317622506850679*c_1001_4^7 + 23681320722218778/317622506850679*c_1001_4^6 + 18488381165409020/317622506850679*c_1001_4^5 + 10713531173379963/317622506850679*c_1001_4^4 + 3505627485370871/317622506850679*c_1001_4^3 - 439647656134642/317622506850679*c_1001_4^2 - 1160780794079529/317622506850679*c_1001_4 - 1171177533934893/317622506850679, c_0101_3 + 1, c_0101_8 + c_1001_4, c_1001_0 - 91928396230327/317622506850679*c_1001_4^13 - 859644932603107/317622506850679*c_1001_4^12 - 2577426387033007/317622506850679*c_1001_4^11 - 6960365512787682/317622506850679*c_1001_4^10 - 13355307482714348/317622506850679*c_1001_4^9 - 21208936400385370/317622506850679*c_1001_4^8 - 27253002861991346/317622506850679*c_1001_4^7 - 29733915891192740/317622506850679*c_1001_4^6 - 23954925664586023/317622506850679*c_1001_4^5 - 28947477062948679/635245013701358*c_1001_4^4 - 9830522027019737/635245013701358*c_1001_4^3 + 151981164656291/635245013701358*c_1001_4^2 + 1704006039485572/317622506850679*c_1001_4 + 2358202999295313/635245013701358, c_1001_11 + 83585621472306/317622506850679*c_1001_4^13 + 765178643232414/317622506850679*c_1001_4^12 + 2196310778627082/317622506850679*c_1001_4^11 + 5934448438587244/317622506850679*c_1001_4^10 + 11116973141348454/317622506850679*c_1001_4^9 + 17425938209770062/317622506850679*c_1001_4^8 + 22069462408328248/317622506850679*c_1001_4^7 + 23681320722218778/317622506850679*c_1001_4^6 + 18488381165409020/317622506850679*c_1001_4^5 + 10713531173379963/317622506850679*c_1001_4^4 + 3505627485370871/317622506850679*c_1001_4^3 - 757270162985321/317622506850679*c_1001_4^2 - 1160780794079529/317622506850679*c_1001_4 - 1171177533934893/317622506850679, c_1001_4^14 + 10*c_1001_4^13 + 34*c_1001_4^12 + 93*c_1001_4^11 + 192*c_1001_4^10 + 318*c_1001_4^9 + 434*c_1001_4^8 + 496*c_1001_4^7 + 447*c_1001_4^6 + 603/2*c_1001_4^5 + 140*c_1001_4^4 + 25*c_1001_4^3 - 35/2*c_1001_4^2 - 43/2*c_1001_4 - 19/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB