Magma V2.19-8 Wed Aug 21 2013 00:58:59 on localhost [Seed = 4122209948] Type ? for help. Type -D to quit. Loading file "L13n6177__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6177 geometric_solution 12.19029040 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 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 0 -1 7 0 -1 -6 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638729537323 0.795358911168 0 2 6 5 0132 0213 0132 0132 1 0 0 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 0 0 -7 0 7 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757557931594 0.633338757560 7 0 1 8 0132 0132 0213 0132 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 0 0 0 0 0 -1 0 1 6 0 -6 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 0.496453890626 0.490225745995 9 6 10 0 0132 0213 0132 0132 1 0 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 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.081349246715 1.207441300265 7 6 0 7 3120 0132 0132 0321 1 0 1 1 0 0 0 0 1 0 -1 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 1 -1 -6 0 6 0 -2 -1 0 3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338957390932 1.003894792188 11 9 1 8 0132 2310 0132 0321 1 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 -1 1 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529842083992 1.334009506800 10 4 3 1 1302 0132 0213 0132 1 0 1 1 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 7 -7 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.847524070168 0.885307156974 2 4 10 4 0132 0321 0321 3120 1 0 1 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 1 0 -1 -6 0 0 6 1 -3 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457537933249 0.694841666961 12 5 2 12 0132 0321 0132 0321 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 -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 0.980143002529 1.007062623204 3 12 11 5 0132 3201 0132 3201 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 0 0 0 1 0 0 -1 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529842083992 1.334009506800 12 6 7 3 3201 2031 0321 0132 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 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 0.126097373380 0.710422093717 5 11 11 9 0132 3201 2310 0132 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 1 -1 0 0 0 0 0 6 1 0 -7 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.257165696323 0.647478737689 8 8 9 10 0132 0321 2310 2310 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 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 0.503688732644 0.509942452825 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : negation(d['c_0101_1']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_12'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0101_3']), 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : negation(d['c_0011_4']), 's_0_10' : d['1'], 's_3_10' : 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_12'], 'c_0101_10' : d['c_0101_10'], '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' : d['c_0011_11'], 'c_1100_8' : d['c_1001_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_1001_7'], 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : d['c_1001_12'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_1001_7'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_12'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_1001_12']), 'c_1010_8' : negation(d['c_0101_3']), '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_10'], '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' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_4']), '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_0'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0101_10']), 'c_0101_12' : negation(d['c_0011_12']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1']})} 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_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_1001_0, c_1001_1, c_1001_12, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 174451126371938795/126024631537631934*c_1001_7^14 - 50784008991036311/252049263075263868*c_1001_7^13 - 4611281156322188485/504098526150527736*c_1001_7^12 - 2370515995520439287/504098526150527736*c_1001_7^11 - 12235112773639104101/504098526150527736*c_1001_7^10 - 13465880826283832183/504098526150527736*c_1001_7^9 - 22216515081979229527/504098526150527736*c_1001_7^8 - 5410872758157572356/63012315768815967*c_1001_7^7 - 8467033547523377003/126024631537631934*c_1001_7^6 - 43694863678763277071/504098526150527736*c_1001_7^5 - 3837977307568397305/63012315768815967*c_1001_7^4 - 1020231601675483851/84016421025087956*c_1001_7^3 - 1111334503896878137/63012315768815967*c_1001_7^2 + 728337500737730470/63012315768815967*c_1001_7 - 441628709624908343/63012315768815967, c_0011_0 - 1, c_0011_10 + 142174964428378/1235535603310117*c_1001_7^14 + 108469882931650/1235535603310117*c_1001_7^13 + 920167875853492/1235535603310117*c_1001_7^12 + 4442369473609889/4942142413240468*c_1001_7^11 + 10332124442998051/4942142413240468*c_1001_7^10 + 18075781573245997/4942142413240468*c_1001_7^9 + 23054001047658883/4942142413240468*c_1001_7^8 + 47821582988105681/4942142413240468*c_1001_7^7 + 11946331966187493/1235535603310117*c_1001_7^6 + 25905609541149721/2471071206620234*c_1001_7^5 + 50072214340466361/4942142413240468*c_1001_7^4 + 5522807093403467/1235535603310117*c_1001_7^3 + 5763478512284157/2471071206620234*c_1001_7^2 + 786739157335912/1235535603310117*c_1001_7 - 384417137178448/1235535603310117, c_0011_11 - 10713542365043977/96371777058189126*c_1001_7^14 - 1722787080166753/64247851372126084*c_1001_7^13 - 91306177299931923/128495702744252168*c_1001_7^12 - 17018912390722603/48185888529094563*c_1001_7^11 - 697651037787531679/385487108232756504*c_1001_7^10 - 332145178985732971/192743554116378252*c_1001_7^9 - 1178341639907876675/385487108232756504*c_1001_7^8 - 720791525619658055/128495702744252168*c_1001_7^7 - 502316462690308373/128495702744252168*c_1001_7^6 - 263102016663433135/64247851372126084*c_1001_7^5 - 16418006432412759/64247851372126084*c_1001_7^4 + 113739398927854892/48185888529094563*c_1001_7^3 + 126600118006871611/96371777058189126*c_1001_7^2 + 6249997781737151/3706606809930351*c_1001_7 - 65819826611799914/48185888529094563, c_0011_12 - 6204135491419381/96371777058189126*c_1001_7^14 + 9161637428767983/64247851372126084*c_1001_7^13 - 51463931860005115/128495702744252168*c_1001_7^12 + 139440517898651243/192743554116378252*c_1001_7^11 - 225436498681606621/385487108232756504*c_1001_7^10 + 51296675664453359/48185888529094563*c_1001_7^9 + 327643473467364883/385487108232756504*c_1001_7^8 + 15644726677346043/128495702744252168*c_1001_7^7 + 723965444011760863/128495702744252168*c_1001_7^6 + 159322294107276215/64247851372126084*c_1001_7^5 + 65608357241099528/16061962843031521*c_1001_7^4 + 512533516232445181/96371777058189126*c_1001_7^3 - 39757805504469869/96371777058189126*c_1001_7^2 + 6863124412499564/3706606809930351*c_1001_7 - 27443339822154005/48185888529094563, c_0011_4 + 31835373146903/1235535603310117*c_1001_7^14 + 274995901987349/2471071206620234*c_1001_7^13 + 795464936703003/4942142413240468*c_1001_7^12 + 2015476492491423/2471071206620234*c_1001_7^11 + 769679459270500/1235535603310117*c_1001_7^10 + 3053902402372135/1235535603310117*c_1001_7^9 + 5659607055629753/2471071206620234*c_1001_7^8 + 24986686253773211/4942142413240468*c_1001_7^7 + 16965798631849319/2471071206620234*c_1001_7^6 + 29743791889136343/4942142413240468*c_1001_7^5 + 33881983643929765/4942142413240468*c_1001_7^4 + 4445423559352208/1235535603310117*c_1001_7^3 + 2956176742435397/2471071206620234*c_1001_7^2 + 503728672579190/1235535603310117*c_1001_7 - 609527519465886/1235535603310117, c_0101_0 - 1, c_0101_1 + 112555191143719/1235535603310117*c_1001_7^14 - 108123991419231/2471071206620234*c_1001_7^13 + 3155102433128511/4942142413240468*c_1001_7^12 - 74109292601357/1235535603310117*c_1001_7^11 + 2063833307359830/1235535603310117*c_1001_7^10 + 2169889040943503/2471071206620234*c_1001_7^9 + 3009025857023466/1235535603310117*c_1001_7^8 + 21806660024428885/4942142413240468*c_1001_7^7 + 4790499157529301/2471071206620234*c_1001_7^6 + 23627148049807093/4942142413240468*c_1001_7^5 + 8322474415641031/4942142413240468*c_1001_7^4 - 2579910982226067/2471071206620234*c_1001_7^3 + 610944333104526/1235535603310117*c_1001_7^2 - 2078982031786694/1235535603310117*c_1001_7 - 57900102469284/1235535603310117, c_0101_10 - 549618368832109/3706606809930351*c_1001_7^14 - 200219784415139/2471071206620234*c_1001_7^13 - 4721392718746805/4942142413240468*c_1001_7^12 - 12450944465313947/14826427239721404*c_1001_7^11 - 9609442455657043/3706606809930351*c_1001_7^10 - 50782209786630029/14826427239721404*c_1001_7^9 - 38568877267607929/7413213619860702*c_1001_7^8 - 23476317032021159/2471071206620234*c_1001_7^7 - 44020923454298627/4942142413240468*c_1001_7^6 - 21272175138131833/2471071206620234*c_1001_7^5 - 26637950775868747/4942142413240468*c_1001_7^4 + 1525419158664275/7413213619860702*c_1001_7^3 + 8955443792871976/3706606809930351*c_1001_7^2 + 10743448009229479/3706606809930351*c_1001_7 - 3790920468192163/3706606809930351, c_0101_3 + 110339591281475/1235535603310117*c_1001_7^14 - 58056136124049/2471071206620234*c_1001_7^13 + 2885206566710965/4942142413240468*c_1001_7^12 + 411416488627043/4942142413240468*c_1001_7^11 + 7253406605916051/4942142413240468*c_1001_7^10 + 5860171963757457/4942142413240468*c_1001_7^9 + 11734786936399377/4942142413240468*c_1001_7^8 + 11417448367166235/2471071206620234*c_1001_7^7 + 6926865300525667/2471071206620234*c_1001_7^6 + 22067427193163099/4942142413240468*c_1001_7^5 + 4047557674134149/1235535603310117*c_1001_7^4 + 1077383534051259/1235535603310117*c_1001_7^3 + 2639186488234497/1235535603310117*c_1001_7^2 + 283010484756722/1235535603310117*c_1001_7 + 1460645985597555/1235535603310117, c_1001_0 + 142174964428378/1235535603310117*c_1001_7^14 + 108469882931650/1235535603310117*c_1001_7^13 + 920167875853492/1235535603310117*c_1001_7^12 + 4442369473609889/4942142413240468*c_1001_7^11 + 10332124442998051/4942142413240468*c_1001_7^10 + 18075781573245997/4942142413240468*c_1001_7^9 + 23054001047658883/4942142413240468*c_1001_7^8 + 47821582988105681/4942142413240468*c_1001_7^7 + 11946331966187493/1235535603310117*c_1001_7^6 + 25905609541149721/2471071206620234*c_1001_7^5 + 50072214340466361/4942142413240468*c_1001_7^4 + 5522807093403467/1235535603310117*c_1001_7^3 + 5763478512284157/2471071206620234*c_1001_7^2 + 786739157335912/1235535603310117*c_1001_7 - 384417137178448/1235535603310117, c_1001_1 + 217347754854636/1235535603310117*c_1001_7^14 + 93921021260094/1235535603310117*c_1001_7^13 + 1415857161196321/1235535603310117*c_1001_7^12 + 1190320030297879/1235535603310117*c_1001_7^11 + 3788924358828577/1235535603310117*c_1001_7^10 + 10983688975793111/2471071206620234*c_1001_7^9 + 14818330443651855/2471071206620234*c_1001_7^8 + 31394652451578729/2471071206620234*c_1001_7^7 + 26449685126079503/2471071206620234*c_1001_7^6 + 31876696593651117/2471071206620234*c_1001_7^5 + 12559151724118642/1235535603310117*c_1001_7^4 + 3483736812574025/1235535603310117*c_1001_7^3 + 3705789290680849/2471071206620234*c_1001_7^2 - 1859011411725695/1235535603310117*c_1001_7 - 157967310790976/1235535603310117, c_1001_12 - 110339591281475/1235535603310117*c_1001_7^14 + 58056136124049/2471071206620234*c_1001_7^13 - 2885206566710965/4942142413240468*c_1001_7^12 - 411416488627043/4942142413240468*c_1001_7^11 - 7253406605916051/4942142413240468*c_1001_7^10 - 5860171963757457/4942142413240468*c_1001_7^9 - 11734786936399377/4942142413240468*c_1001_7^8 - 11417448367166235/2471071206620234*c_1001_7^7 - 6926865300525667/2471071206620234*c_1001_7^6 - 22067427193163099/4942142413240468*c_1001_7^5 - 4047557674134149/1235535603310117*c_1001_7^4 - 1077383534051259/1235535603310117*c_1001_7^3 - 2639186488234497/1235535603310117*c_1001_7^2 - 283010484756722/1235535603310117*c_1001_7 - 1460645985597555/1235535603310117, c_1001_7^15 + 1/2*c_1001_7^14 + 27/4*c_1001_7^13 + 23/4*c_1001_7^12 + 77/4*c_1001_7^11 + 103/4*c_1001_7^10 + 159/4*c_1001_7^9 + 149/2*c_1001_7^8 + 72*c_1001_7^7 + 333/4*c_1001_7^6 + 135/2*c_1001_7^5 + 49/2*c_1001_7^4 + 15*c_1001_7^3 - 6*c_1001_7^2 + 2*c_1001_7 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.360 Total time: 0.570 seconds, Total memory usage: 32.09MB