Magma V2.19-8 Wed Aug 21 2013 01:01:35 on localhost [Seed = 795423983] Type ? for help. Type -D to quit. Loading file "L14n12416__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n12416 geometric_solution 11.98023379 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 1 0 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560340612257 0.949634128715 0 5 4 6 0132 0132 3012 0132 0 1 1 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 -1 1 0 0 0 0 0 -2 0 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.936045514750 0.416911169370 7 0 9 8 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 -1 1 -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 -1 1 0 1 0 -2 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.000000000000 10 10 7 0 0132 1302 1023 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 -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 0.218913792759 0.539112685237 11 1 0 11 0132 1230 0132 1023 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 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 0.757182483518 1.745026053477 6 1 12 12 1302 0132 0132 3201 0 1 0 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 1 -1 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 0.790743462956 0.482259055051 10 5 1 8 2103 2031 0132 2031 0 1 1 1 0 0 0 0 0 0 0 0 -1 0 0 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 -1 0 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560340612257 0.949634128715 2 8 3 11 0132 1023 1023 0132 1 1 0 1 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 -1 0 1 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000000000000 1.000000000000 7 6 2 9 1023 1302 0132 0321 1 1 0 1 0 0 0 0 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 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 0.500000000000 0.500000000000 12 8 10 2 0132 0321 2310 0132 1 1 0 1 0 0 0 0 0 0 -1 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 1 -1 0 0 -2 2 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.000000000000 3 9 6 3 0132 3201 2103 2031 1 1 1 1 0 -1 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 -1 1 0 0 0 0 0 0 -1 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.867162345445 0.598523205576 4 12 7 4 0132 1230 0132 1023 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196841871261 0.795391924762 9 5 11 5 0132 2310 3012 0132 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 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 0.628591241759 0.622513026738 ==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_0011_6'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0110_6'], 'c_1010_12' : negation(d['c_0110_5']), 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_12']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1100_0']), 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1100_0']), 'c_1100_10' : negation(d['c_0110_6']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : negation(d['c_0110_5']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_12']), 's_1_7' : negation(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' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0011_6']), 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0101_3'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0110_6']})} 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_6, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0110_5, c_0110_6, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 698528/161*c_1100_0^5 + 1854408/161*c_1100_0^4 - 385903/23*c_1100_0^3 + 2208939/161*c_1100_0^2 - 1022219/161*c_1100_0 + 132333/161, c_0011_0 - 1, c_0011_10 - 144/161*c_1100_0^5 + 540/161*c_1100_0^4 - 167/46*c_1100_0^3 + 1367/644*c_1100_0^2 - 10/161*c_1100_0 - 173/644, c_0011_11 - 668/161*c_1100_0^5 + 2183/161*c_1100_0^4 - 3661/184*c_1100_0^3 + 10183/644*c_1100_0^2 - 9727/1288*c_1100_0 - 81/161, c_0011_12 - 44/23*c_1100_0^5 + 27/23*c_1100_0^4 - 335/184*c_1100_0^3 + 81/92*c_1100_0^2 - 165/184*c_1100_0 + 27/92, c_0011_6 + c_1100_0, c_0101_0 - 1, c_0101_1 - 978/161*c_1100_0^5 + 4437/322*c_1100_0^4 - 6283/368*c_1100_0^3 + 29865/2576*c_1100_0^2 - 7151/2576*c_1100_0 - 165/2576, c_0101_11 + 4/7*c_1100_0^5 - 1/7*c_1100_0^4 - 21/8*c_1100_0^3 + 75/28*c_1100_0^2 - 109/56*c_1100_0 - 9/28, c_0101_3 - 144/161*c_1100_0^5 + 540/161*c_1100_0^4 - 167/46*c_1100_0^3 + 1367/644*c_1100_0^2 - 10/161*c_1100_0 - 173/644, c_0110_5 + 626/161*c_1100_0^5 - 1797/322*c_1100_0^4 + 2363/368*c_1100_0^3 - 3905/2576*c_1100_0^2 - 825/2576*c_1100_0 + 1765/2576, c_0110_6 + c_1100_0 - 1, c_1001_2 + 996/161*c_1100_0^5 - 2125/161*c_1100_0^4 + 3179/184*c_1100_0^3 - 14107/1288*c_1100_0^2 + 5759/1288*c_1100_0 + 327/1288, c_1100_0^6 - 9/4*c_1100_0^5 + 93/32*c_1100_0^4 - 15/8*c_1100_0^3 + 9/16*c_1100_0^2 + 1/8*c_1100_0 + 1/32 ], 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_6, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0110_5, c_0110_6, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 458912391694099028918725/4403380269418286695936592*c_1100_0^11 - 2435066766566323105599735/8806760538836573391873184*c_1100_0^10 - 4841186463624165079133881/4403380269418286695936592*c_1100_0^9 + 44398811960573105633637/338721559186022053533584*c_1100_0^8 + 41526311109365671808821141/4403380269418286695936592*c_1100_0^7 + 265466359483690623363906469/8806760538836573391873184*c_1100_0^6 + 233991603065224090282289151/4403380269418286695936592*c_1100_0^5 + 478830589732865786386212221/8806760538836573391873184*c_1100_0^4 + 65226494655726254398916197/2201690134709143347968296*c_1100_0^3 + 3339114753373035567189823/4403380269418286695936592*c_1100_0^2 - 24303623014219931497793129/2201690134709143347968296*c_1100_0 - 73238962329608945547762579/8806760538836573391873184, c_0011_0 - 1, c_0011_10 + 1450098683725194825/201380237328193848712*c_1100_0^11 - 44946576576767269715/805520949312775394848*c_1100_0^10 + 2313993893555158643/27776584459061220512*c_1100_0^9 + 149764446886105754401/805520949312775394848*c_1100_0^8 + 67865821518127975119/805520949312775394848*c_1100_0^7 - 140041364701562702459/201380237328193848712*c_1100_0^6 - 610210558327236466925/402760474656387697424*c_1100_0^5 - 1006452050051957024181/805520949312775394848*c_1100_0^4 + 1553461138474170330995/805520949312775394848*c_1100_0^3 + 1589196122028995034153/805520949312775394848*c_1100_0^2 + 1001547916668035534449/805520949312775394848*c_1100_0 - 1650640610116867065/13888292229530610256, c_0011_11 - 9793492462779387675/805520949312775394848*c_1100_0^11 + 41277694818857852005/1611041898625550789696*c_1100_0^10 + 1167549134704545253/6944146114765305128*c_1100_0^9 - 17769531860954696845/805520949312775394848*c_1100_0^8 - 528619130292069642501/402760474656387697424*c_1100_0^7 - 6152348966490365205443/1611041898625550789696*c_1100_0^6 - 4914664712733293456257/805520949312775394848*c_1100_0^5 - 8407706249363061861883/1611041898625550789696*c_1100_0^4 - 1542730243507924044341/805520949312775394848*c_1100_0^3 + 64765315395030934681/805520949312775394848*c_1100_0^2 - 241454920711332182277/805520949312775394848*c_1100_0 + 27674730958091154205/55553168918122441024, c_0011_12 + 52142565070796605375/3222083797251101579392*c_1100_0^11 - 116960807039148290175/3222083797251101579392*c_1100_0^10 - 3174771452523245855/13888292229530610256*c_1100_0^9 + 178018894314610752015/1611041898625550789696*c_1100_0^8 + 5488833597831264763875/3222083797251101579392*c_1100_0^7 + 15687520835011805194231/3222083797251101579392*c_1100_0^6 + 22224631284109749926531/3222083797251101579392*c_1100_0^5 + 14856200934081870150019/3222083797251101579392*c_1100_0^4 - 1547704241948933813939/1611041898625550789696*c_1100_0^3 - 2391262664570364315521/805520949312775394848*c_1100_0^2 - 7402100637616642336815/3222083797251101579392*c_1100_0 + 71111974935053375503/111106337836244882048, c_0011_6 + 13501140353601682975/201380237328193848712*c_1100_0^11 - 5222526932401030160/25172529666024231089*c_1100_0^10 - 2405312978935481447/3472073057382652564*c_1100_0^9 + 70923552352578488129/100690118664096924356*c_1100_0^8 + 1256050611843423644691/201380237328193848712*c_1100_0^7 + 778790343076066716435/50345059332048462178*c_1100_0^6 + 4225350451399150540507/201380237328193848712*c_1100_0^5 + 1373179058886908060121/100690118664096924356*c_1100_0^4 + 229990711819932848937/100690118664096924356*c_1100_0^3 - 31466544421490127801/25172529666024231089*c_1100_0^2 - 386506549684329017737/201380237328193848712*c_1100_0 - 145162972794590548/868018264345663141, c_0101_0 - 1, c_0101_1 - 60035681226189062625/3222083797251101579392*c_1100_0^11 + 229505292046615722625/3222083797251101579392*c_1100_0^10 + 387631739774042675/3472073057382652564*c_1100_0^9 - 252788527202263140257/1611041898625550789696*c_1100_0^8 - 4690434015441175786789/3222083797251101579392*c_1100_0^7 - 11816186039623063464169/3222083797251101579392*c_1100_0^6 - 17275510803801029135837/3222083797251101579392*c_1100_0^5 - 14433456777191761280525/3222083797251101579392*c_1100_0^4 - 3802840853089073437863/1611041898625550789696*c_1100_0^3 - 34762276463213540449/805520949312775394848*c_1100_0^2 + 2253989277778028910889/3222083797251101579392*c_1100_0 + 12704977542933031583/111106337836244882048, c_0101_11 + 23267511108927866275/3222083797251101579392*c_1100_0^11 - 124047523626999750595/3222083797251101579392*c_1100_0^10 - 289874841162850439/27776584459061220512*c_1100_0^9 + 264480180274765502729/1611041898625550789696*c_1100_0^8 + 1693465616030150245691/3222083797251101579392*c_1100_0^7 + 1235768143143922508999/3222083797251101579392*c_1100_0^6 - 2419070255361009317873/3222083797251101579392*c_1100_0^5 - 7837518099498987011393/3222083797251101579392*c_1100_0^4 - 3950015344602406887669/1611041898625550789696*c_1100_0^3 - 230864999136691898829/402760474656387697424*c_1100_0^2 + 3083994344437996923825/3222083797251101579392*c_1100_0 + 41008814751309973447/111106337836244882048, c_0101_3 + 316900563753294975/50345059332048462178*c_1100_0^11 - 7911072678583717415/402760474656387697424*c_1100_0^10 - 1265502202392941159/27776584459061220512*c_1100_0^9 - 21661203685374373627/805520949312775394848*c_1100_0^8 + 443864712320422145875/805520949312775394848*c_1100_0^7 + 1432252060078215970619/805520949312775394848*c_1100_0^6 + 1240607446015983687577/402760474656387697424*c_1100_0^5 + 322279665328061766731/100690118664096924356*c_1100_0^4 + 1167582716213118990531/805520949312775394848*c_1100_0^3 - 710459055805964937011/805520949312775394848*c_1100_0^2 - 435993744875705274281/805520949312775394848*c_1100_0 - 11395586878889522487/27776584459061220512, c_0110_5 - 24988274035502865225/3222083797251101579392*c_1100_0^11 + 17358600167223289205/3222083797251101579392*c_1100_0^10 + 4421734395564067771/27776584459061220512*c_1100_0^9 + 26165712057090873941/1611041898625550789696*c_1100_0^8 - 3195318111578896718657/3222083797251101579392*c_1100_0^7 - 10591273009328852980225/3222083797251101579392*c_1100_0^6 - 16781001079771069853581/3222083797251101579392*c_1100_0^5 - 12897391084378472581233/3222083797251101579392*c_1100_0^4 + 226059961180499112119/1611041898625550789696*c_1100_0^3 + 689427069691166064147/402760474656387697424*c_1100_0^2 + 3275947982436173448725/3222083797251101579392*c_1100_0 - 123460896533810423569/111106337836244882048, c_0110_6 + 3121302543543591025/201380237328193848712*c_1100_0^11 - 75464568015455828705/805520949312775394848*c_1100_0^10 + 527737136767017333/13888292229530610256*c_1100_0^9 + 151426236331579596461/402760474656387697424*c_1100_0^8 + 75146302362141952379/100690118664096924356*c_1100_0^7 + 231877241853996007107/805520949312775394848*c_1100_0^6 - 175526816410539390157/100690118664096924356*c_1100_0^5 - 3336468724258016387241/805520949312775394848*c_1100_0^4 - 532430491381413810905/201380237328193848712*c_1100_0^3 - 623331494487373276971/402760474656387697424*c_1100_0^2 - 290770525043533613777/402760474656387697424*c_1100_0 - 9002822645191010697/27776584459061220512, c_1001_2 + 315659368806525/14573234238751952*c_1100_0^11 - 1807166579309615/29146468477503904*c_1100_0^10 - 3232658130390879/14573234238751952*c_1100_0^9 + 1285902348428165/14573234238751952*c_1100_0^8 + 29767381311986015/14573234238751952*c_1100_0^7 + 167247379471069397/29146468477503904*c_1100_0^6 + 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