Magma V2.19-8 Wed Aug 21 2013 00:57:33 on localhost [Seed = 3035803258] Type ? for help. Type -D to quit. Loading file "L13n4358__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4358 geometric_solution 11.83818749 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1302 0132 1 1 1 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 3 0 0 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329271975858 0.527650026695 0 4 5 4 0132 0132 0132 1230 1 1 0 1 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 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.227001313915 1.184794071335 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 -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 0.148804194784 1.364019783875 7 8 0 5 0132 0132 0132 3201 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 -1 1 0 -1 0 0 1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.141798365880 0.797692167370 1 1 2 9 3012 0132 0132 0132 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 -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 0.386255237427 0.592022888995 6 3 10 1 0321 2310 0132 0132 1 1 1 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 4 -1 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.441011812471 1.913990060828 5 7 11 2 0321 0321 0132 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 0 0 0 0 -4 4 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.103276790298 0.688090094427 3 10 12 6 0132 2031 0132 0321 1 1 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 1 0 0 -1 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.255505252255 0.641376750433 12 3 11 10 2031 0132 3012 2031 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 1 -1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.042640053853 0.796187919234 10 12 4 11 2031 2031 0132 0132 1 1 1 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 1 -1 0 0 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.076566435070 0.878854083603 7 8 9 5 1302 1302 1302 0132 1 1 1 1 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.254955616322 0.365931944805 12 8 9 6 1023 1230 0132 0132 1 1 1 1 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 0 0 1 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.014056033933 1.339007989673 9 11 8 7 1302 1023 1302 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 -1 1 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649036241801 0.696453230721 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_0101_5']), 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : d['c_0011_11'], 's_3_11' : 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_0101_11'], 'c_0101_10' : d['c_0011_3'], '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' : 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_1100_8' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : d['c_1100_11'], 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_1100_11'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : d['c_1100_11'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_11'], 'c_1100_10' : d['c_0101_9'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0011_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' : 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_0101_8'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_5']), 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0011_3'], 'c_0110_0' : negation(d['c_0011_6']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], '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_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_1100_11'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0011_5'])})} 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_3, c_0011_5, c_0011_6, c_0101_11, c_0101_4, c_0101_5, c_0101_7, c_0101_8, c_0101_9, c_1100_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 4952777558291589027011/1522185574397314267*c_1100_11^8 + 36079720201319432037492/1522185574397314267*c_1100_11^7 - 312392988157548864477085/1522185574397314267*c_1100_11^6 - 1253251499887117132914175/1522185574397314267*c_1100_11^5 - 6552260644186396774242934/1522185574397314267*c_1100_11^4 + 241110183733712138761323/1522185574397314267*c_1100_11^3 - 4667330782501753955280/1522185574397314267*c_1100_11^2 - 59875973416399812385069/1522185574397314267*c_1100_11 + 17389809450931320902522/1522185574397314267, c_0011_0 - 1, c_0011_10 + 624861026410/3107522215253*c_1100_11^8 - 4589072526304/3107522215253*c_1100_11^7 + 39686375446737/3107522215253*c_1100_11^6 + 155753803095247/3107522215253*c_1100_11^5 + 817446358320068/3107522215253*c_1100_11^4 - 78460134684753/3107522215253*c_1100_11^3 + 8181154210024/3107522215253*c_1100_11^2 + 13369386283746/3107522215253*c_1100_11 - 1986000564296/3107522215253, c_0011_11 - 554860898098/3107522215253*c_1100_11^8 + 3987021391261/3107522215253*c_1100_11^7 - 34594658743606/3107522215253*c_1100_11^6 - 143892553865680/3107522215253*c_1100_11^5 - 747791172680197/3107522215253*c_1100_11^4 - 45562032089051/3107522215253*c_1100_11^3 + 3582825911497/3107522215253*c_1100_11^2 - 15294317111153/3107522215253*c_1100_11 + 67349263373/3107522215253, c_0011_3 - 708342895430/3107522215253*c_1100_11^8 + 4984756159422/3107522215253*c_1100_11^7 - 43411241984293/3107522215253*c_1100_11^6 - 190225246834820/3107522215253*c_1100_11^5 - 982110879750196/3107522215253*c_1100_11^4 - 200184545614057/3107522215253*c_1100_11^3 - 6518031589035/3107522215253*c_1100_11^2 - 11779109402201/3107522215253*c_1100_11 - 2048721634754/3107522215253, c_0011_5 - 1727712768243/3107522215253*c_1100_11^8 + 12538092764575/3107522215253*c_1100_11^7 - 108639614886309/3107522215253*c_1100_11^6 - 440101659258440/3107522215253*c_1100_11^5 - 2298629064140825/3107522215253*c_1100_11^4 + 17002229267243/3107522215253*c_1100_11^3 - 18813944847992/3107522215253*c_1100_11^2 - 26556158055631/3107522215253*c_1100_11 + 5563522699286/3107522215253, c_0011_6 + 1, c_0101_11 - 130475726717/3107522215253*c_1100_11^8 + 858145020688/3107522215253*c_1100_11^7 - 7571265028982/3107522215253*c_1100_11^6 - 38741726802629/3107522215253*c_1100_11^5 - 196839859670897/3107522215253*c_1100_11^4 - 119738056962295/3107522215253*c_1100_11^3 - 16470026440428/3107522215253*c_1100_11^2 - 10514849295836/3107522215253*c_1100_11 - 2245823676395/3107522215253, c_0101_4 - 8714269/24554329*c_1100_11^8 + 62809803/24554329*c_1100_11^7 - 544839396/24554329*c_1100_11^6 - 2246796749/24554329*c_1100_11^5 - 11703680601/24554329*c_1100_11^4 - 485614430/24554329*c_1100_11^3 - 84015824/24554329*c_1100_11^2 - 104196305/24554329*c_1100_11 + 28268070/24554329, c_0101_5 - 608466442140/3107522215253*c_1100_11^8 + 4218092732655/3107522215253*c_1100_11^7 - 36838129021817/3107522215253*c_1100_11^6 - 167335779870575/3107522215253*c_1100_11^5 - 860576207171586/3107522215253*c_1100_11^4 - 259656097064558/3107522215253*c_1100_11^3 - 18921662868372/3107522215253*c_1100_11^2 - 10332234783975/3107522215253*c_1100_11 - 654302105701/3107522215253, c_0101_7 - 1621304865919/3107522215253*c_1100_11^8 + 11817150474927/3107522215253*c_1100_11^7 - 102271471085449/3107522215253*c_1100_11^6 - 410120935482572/3107522215253*c_1100_11^5 - 2140973219007894/3107522215253*c_1100_11^4 + 97265816743398/3107522215253*c_1100_11^3 + 49419756629394/3107522215253*c_1100_11^2 - 11971983911413/3107522215253*c_1100_11 + 7108609275505/3107522215253, c_0101_8 + 1127642514675/3107522215253*c_1100_11^8 - 8013092271508/3107522215253*c_1100_11^7 + 69673116474855/3107522215253*c_1100_11^6 + 297932901293660/3107522215253*c_1100_11^5 + 1543792420512271/3107522215253*c_1100_11^4 + 215591367993143/3107522215253*c_1100_11^3 + 11910384721633/3107522215253*c_1100_11^2 + 11706093940227/3107522215253*c_1100_11 - 2230929502195/3107522215253, c_0101_9 + 113870662/682521901*c_1100_11^8 - 849578352/682521901*c_1100_11^7 + 7317863309/682521901*c_1100_11^6 + 27624221243/682521901*c_1100_11^5 + 144913356729/682521901*c_1100_11^4 - 34861349036/682521901*c_1100_11^3 - 13189665554/682521901*c_1100_11^2 - 266810424/682521901*c_1100_11 - 775551755/682521901, c_1100_11^9 - 7*c_1100_11^8 + 61*c_1100_11^7 + 271*c_1100_11^6 + 1395*c_1100_11^5 + 328*c_1100_11^4 - 13*c_1100_11^3 + 12*c_1100_11^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.810 Total time: 1.010 seconds, Total memory usage: 32.09MB