Magma V2.19-8 Wed Aug 21 2013 00:04:55 on localhost [Seed = 2530277624] Type ? for help. Type -D to quit. Loading file "L14n6727__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n6727 geometric_solution 11.46039407 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 1302 0132 1 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 1 -1 0 0 0 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.680992797676 0.822393039992 0 4 5 4 0132 0132 0132 1230 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 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 0.409984423907 1.056930170447 0 0 6 4 2031 0132 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 0 0 -1 0 0 1 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402680601295 0.721345831885 7 8 0 9 0132 0132 0132 0132 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 0.916930138548 0.781274061792 1 1 2 9 3012 0132 0132 0213 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 0 0 0 0 0 0 -1 1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402680601295 0.721345831885 7 6 10 1 3120 1023 0132 0132 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 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 0.177606960008 0.680992797676 5 11 8 2 1023 0132 3201 0132 1 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 0.641412070741 1.374922453196 3 9 8 5 0132 3120 3120 3120 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 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 0.635944466221 0.486232842758 6 3 7 11 2310 0132 3120 0132 1 1 1 1 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 0 -1 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 0 0 0 0.413323687096 0.475297633717 10 7 3 4 2103 3120 0132 0213 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 0 0 0 1 0 0 -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 0.567291073262 0.456455621317 11 11 9 5 3120 3012 2103 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 0 0 1 0 -1 0 -3 3 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.781459225012 1.013680324002 10 6 8 10 1230 0132 0132 3120 1 1 1 1 0 0 0 0 1 0 -1 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 1 -1 -3 0 4 -1 1 -4 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.203235539483 0.942688464075 ==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' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : negation(d['c_1001_7']), 'c_1001_8' : negation(d['c_1001_7']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_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' : 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' : 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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0011_3'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : d['c_0110_4'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_1001_7']), 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : d['c_1001_11'], 'c_1100_8' : negation(d['c_0101_10']), 's_3_1' : negation(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' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_11']), '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_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : negation(d['c_0101_11']), 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0110_4']), 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_0101_2'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], '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_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_4, c_0110_4, c_1001_11, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 61589813631902344223/4416636780295257518*c_1001_7^9 - 151316626187800416435/4416636780295257518*c_1001_7^8 - 104788532559033299876/581136418459902305*c_1001_7^7 - 1229441159592536501323/11041591950738143795*c_1001_7^6 + 3954335426593721911351/6309481114707510740*c_1001_7^5 - 2298814421782144224687/3397412907919428860*c_1001_7^4 + 210987592676030829651/339741290791942886*c_1001_7^3 - 91338950259421543472581/44166367802952575180*c_1001_7^2 + 154548997931789235964173/88332735605905150360*c_1001_7 - 46858004855559891375791/88332735605905150360, c_0011_0 - 1, c_0011_10 + 24092815141204/21445606034083*c_1001_7^9 + 53048124578360/21445606034083*c_1001_7^8 - 5508845599696/5643580535285*c_1001_7^7 - 878349335941648/107228030170415*c_1001_7^6 + 199012455314224/15318290024345*c_1001_7^5 - 869762795509364/107228030170415*c_1001_7^4 + 633481271310466/21445606034083*c_1001_7^3 - 3971352240099744/107228030170415*c_1001_7^2 + 1995215530675641/107228030170415*c_1001_7 - 388065796828992/107228030170415, c_0011_11 + 17282062758288/21445606034083*c_1001_7^9 + 46110708231120/21445606034083*c_1001_7^8 + 1752801226688/5643580535285*c_1001_7^7 - 614895023351856/107228030170415*c_1001_7^6 + 100284725836648/15318290024345*c_1001_7^5 - 321571417360918/107228030170415*c_1001_7^4 + 424290260183348/21445606034083*c_1001_7^3 - 1868910564919648/107228030170415*c_1001_7^2 + 565363502140882/107228030170415*c_1001_7 - 70173492155369/107228030170415, c_0011_3 - 1, c_0101_1 - 1, c_0101_10 + 31001446756068/21445606034083*c_1001_7^9 + 70865419841680/21445606034083*c_1001_7^8 - 5587759764732/5643580535285*c_1001_7^7 - 1147056227354776/107228030170415*c_1001_7^6 + 238625837185798/15318290024345*c_1001_7^5 - 1005640696273228/107228030170415*c_1001_7^4 + 803273571077920/21445606034083*c_1001_7^3 - 4746266608414838/107228030170415*c_1001_7^2 + 2043129735655142/107228030170415*c_1001_7 - 359332462598524/107228030170415, c_0101_11 + 17282062758288/21445606034083*c_1001_7^9 + 46110708231120/21445606034083*c_1001_7^8 + 1752801226688/5643580535285*c_1001_7^7 - 614895023351856/107228030170415*c_1001_7^6 + 100284725836648/15318290024345*c_1001_7^5 - 321571417360918/107228030170415*c_1001_7^4 + 424290260183348/21445606034083*c_1001_7^3 - 1868910564919648/107228030170415*c_1001_7^2 + 565363502140882/107228030170415*c_1001_7 - 70173492155369/107228030170415, c_0101_2 - 9442040554916/21445606034083*c_1001_7^9 - 10566517442960/21445606034083*c_1001_7^8 + 10605669573384/5643580535285*c_1001_7^7 + 444793682670112/107228030170415*c_1001_7^6 - 120785264464006/15318290024345*c_1001_7^5 + 614171873597756/107228030170415*c_1001_7^4 - 269648475965068/21445606034083*c_1001_7^3 + 2847718115333666/107228030170415*c_1001_7^2 - 1263477201224299/107228030170415*c_1001_7 + 339159386914988/107228030170415, c_0101_4 + 1245131700/1521720431*c_1001_7^9 + 2990919280/1521720431*c_1001_7^8 - 7960200/80090549*c_1001_7^7 - 8118847556/1521720431*c_1001_7^6 + 1874802830/217388633*c_1001_7^5 - 8887331476/1521720431*c_1001_7^4 + 32821825156/1521720431*c_1001_7^3 - 35051604426/1521720431*c_1001_7^2 + 20416397535/1521720431*c_1001_7 - 4474753021/1521720431, c_0110_4 - 2453607418456/1949600548553*c_1001_7^9 - 4792503896000/1949600548553*c_1001_7^8 + 1015144096944/513052775935*c_1001_7^7 + 92444388700332/9748002742765*c_1001_7^6 - 22990295079996/1392571820395*c_1001_7^5 + 112765244186736/9748002742765*c_1001_7^4 - 66564223444416/1949600548553*c_1001_7^3 + 483420856473796/9748002742765*c_1001_7^2 - 245647150320734/9748002742765*c_1001_7 + 59497532594523/9748002742765, c_1001_11 + 2453607418456/1949600548553*c_1001_7^9 + 4792503896000/1949600548553*c_1001_7^8 - 1015144096944/513052775935*c_1001_7^7 - 92444388700332/9748002742765*c_1001_7^6 + 22990295079996/1392571820395*c_1001_7^5 - 112765244186736/9748002742765*c_1001_7^4 + 66564223444416/1949600548553*c_1001_7^3 - 483420856473796/9748002742765*c_1001_7^2 + 245647150320734/9748002742765*c_1001_7 - 59497532594523/9748002742765, c_1001_7^10 + 2*c_1001_7^9 - 6/5*c_1001_7^8 - 34/5*c_1001_7^7 + 131/10*c_1001_7^6 - 52/5*c_1001_7^5 + 143/5*c_1001_7^4 - 387/10*c_1001_7^3 + 513/20*c_1001_7^2 - 17/2*c_1001_7 + 13/10 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB