Magma V2.19-8 Wed Aug 21 2013 01:05:42 on localhost [Seed = 3499542632] Type ? for help. Type -D to quit. Loading file "L14n27303__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n27303 geometric_solution 11.55292360 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 3 -3 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 0.505164840925 0.425872931307 0 2 6 5 0132 0321 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517349065135 0.355050664164 7 0 8 1 0132 0132 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359196853717 2.325391329964 4 6 7 0 0213 3012 0132 0132 0 1 1 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 0 0 0 0 0 0 0 0 3 0 -3 0 0 -1 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643143384217 0.859079715097 3 8 0 9 0213 3012 0132 0132 0 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 0 0 0 0 0 0 0 0 0 0 -1 3 -2 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 1.288468402941 1.721985265502 9 6 1 9 0321 3201 0132 2103 0 1 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 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.064251262080 1.855892228697 3 10 5 1 1230 0132 2310 0132 0 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509815807528 0.690382831885 2 11 11 3 0132 0132 1302 0132 0 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 -1 1 -1 1 0 0 -1 -11 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639933498556 0.662010324247 4 11 10 2 1230 0321 0321 0132 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 0 0 0 -1 0 1 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385240702846 0.467827372539 5 12 4 5 0321 0132 0132 2103 0 1 0 1 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 2 -2 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.783389573688 0.429608494841 12 6 8 12 3012 0132 0321 0132 0 0 0 1 0 0 0 0 0 0 -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 3 -3 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.860870913027 0.660006504990 7 7 12 8 2031 0132 1302 0321 0 0 1 1 0 0 0 0 0 0 -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 2 -2 -12 11 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.245158979188 0.780881998006 11 9 10 10 2031 0132 0132 1230 0 0 1 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 0 0 0 0 0 3 -3 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.678544758028 0.497001426349 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_1001_1'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0011_8']), 'c_1001_7' : negation(d['c_0011_8']), 'c_1001_6' : d['c_1001_12'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : negation(d['c_0011_8']), 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0101_12'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0011_8']), 'c_1010_10' : d['c_1001_12'], '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' : negation(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' : negation(d['c_0011_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_12']), 'c_1100_7' : negation(d['c_0011_12']), 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : negation(d['c_0011_12']), 'c_1100_3' : negation(d['c_0011_12']), 'c_1100_2' : d['c_1001_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : d['c_0101_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_1001_12']), 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : negation(d['c_0101_6']), 'c_1010_0' : negation(d['c_0011_8']), 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : negation(d['c_0011_8']), 'c_1100_8' : d['c_1001_1'], '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_0101_12'], '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' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_10']), '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_0011_8']), 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_0']), 'c_0101_8' : negation(d['c_0101_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_5']), 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : d['c_0011_3']})} 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_12, c_0011_3, c_0011_4, c_0011_5, c_0011_8, c_0101_0, c_0101_10, c_0101_12, c_0101_6, c_1001_1, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 12/5*c_1001_12 - 4/5, c_0011_0 - 1, c_0011_10 - 1/2*c_1001_12 + 1/2, c_0011_12 + c_1001_12, c_0011_3 + 1/2*c_1001_12 - 1/2, c_0011_4 - 1, c_0011_5 - c_1001_12 - 1, c_0011_8 - 1/2*c_1001_12 - 1/2, c_0101_0 + 1, c_0101_10 + 1, c_0101_12 - 1/2*c_1001_12, c_0101_6 + 1, c_1001_1 + 1/2*c_1001_12 + 3/2, c_1001_12^2 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_4, c_0011_5, c_0011_8, c_0101_0, c_0101_10, c_0101_12, c_0101_6, c_1001_1, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 92479494495544957117/2902131830016876632000*c_1001_12^9 - 11244776002376274651/414590261430982376000*c_1001_12^8 - 305313909794912977111/2902131830016876632000*c_1001_12^7 + 637103868649704219579/1451065915008438316000*c_1001_12^6 + 658493666399382977491/145106591500843831600*c_1001_12^5 - 34623658073166549893381/2902131830016876632000*c_1001_12^4 - 9221414785094690617929/414590261430982376000*c_1001_12^3 + 70067734797911798521453/1451065915008438316000*c_1001_12^2 - 27503788930635762379653/725532957504219158000*c_1001_12 - 8539291284626660381881/181383239376054789500, c_0011_0 - 1, c_0011_10 - 9759401832269/9641633986767032*c_1001_12^9 + 14694278692153/9641633986767032*c_1001_12^8 + 28039312860479/9641633986767032*c_1001_12^7 - 77666917094423/4820816993383516*c_1001_12^6 - 159843488214129/1205204248345879*c_1001_12^5 + 4539322980290669/9641633986767032*c_1001_12^4 + 4811988654151323/9641633986767032*c_1001_12^3 - 10226065929643329/4820816993383516*c_1001_12^2 + 2715971860615893/1205204248345879*c_1001_12 + 105649764329321/1205204248345879, c_0011_12 + 1, c_0011_3 - 61694719820013/19283267973534064*c_1001_12^9 + 84775443069809/19283267973534064*c_1001_12^8 + 158292226894219/19283267973534064*c_1001_12^7 - 477210681674005/9641633986767032*c_1001_12^6 - 2081978237208263/4820816993383516*c_1001_12^5 + 27536019249865989/19283267973534064*c_1001_12^4 + 28048174790292587/19283267973534064*c_1001_12^3 - 55405669908580431/9641633986767032*c_1001_12^2 + 32092102810550517/4820816993383516*c_1001_12 + 2953191756915272/1205204248345879, c_0011_4 - 18157865605907/9641633986767032*c_1001_12^9 + 29038634355717/9641633986767032*c_1001_12^8 + 32170413879607/9641633986767032*c_1001_12^7 - 36683232499665/1205204248345879*c_1001_12^6 - 296113220533958/1205204248345879*c_1001_12^5 + 8588077388606347/9641633986767032*c_1001_12^4 + 5350781320995215/9641633986767032*c_1001_12^3 - 8194328044124571/2410408496691758*c_1001_12^2 + 6249318153549012/1205204248345879*c_1001_12 + 736080266778330/1205204248345879, c_0011_5 - 1942297043475/9641633986767032*c_1001_12^9 - 1570887679093/9641633986767032*c_1001_12^8 + 3039400914825/9641633986767032*c_1001_12^7 - 16621701729361/4820816993383516*c_1001_12^6 - 78330054701897/2410408496691758*c_1001_12^5 + 300518789387059/9641633986767032*c_1001_12^4 + 1383732142923449/9641633986767032*c_1001_12^3 - 1382559236225547/4820816993383516*c_1001_12^2 + 1410510327828471/2410408496691758*c_1001_12 + 1679854836401011/1205204248345879, c_0011_8 + 19012089545077/9641633986767032*c_1001_12^9 - 21881122442011/9641633986767032*c_1001_12^8 - 52747956809861/9641633986767032*c_1001_12^7 + 66484860422271/2410408496691758*c_1001_12^6 + 650395658937071/2410408496691758*c_1001_12^5 - 7918643813133637/9641633986767032*c_1001_12^4 - 10267425654685833/9641633986767032*c_1001_12^3 + 3607265405300046/1205204248345879*c_1001_12^2 - 8236880527431861/2410408496691758*c_1001_12 - 1341786497802731/1205204248345879, c_0101_0 + 112927535661613/19283267973534064*c_1001_12^9 - 121565570576341/19283267973534064*c_1001_12^8 - 331697232538647/19283267973534064*c_1001_12^7 + 798904191734459/9641633986767032*c_1001_12^6 + 3918095686200861/4820816993383516*c_1001_12^5 - 45485981120955077/19283267973534064*c_1001_12^4 - 66712436103018327/19283267973534064*c_1001_12^3 + 89228006140625061/9641633986767032*c_1001_12^2 - 43687534193568427/4820816993383516*c_1001_12 - 5174368285848702/1205204248345879, c_0101_10 + 5134235034033/9641633986767032*c_1001_12^9 - 5975247811729/9641633986767032*c_1001_12^8 - 3086236648187/9641633986767032*c_1001_12^7 + 32224129893083/4820816993383516*c_1001_12^6 + 171706783380481/2410408496691758*c_1001_12^5 - 2091543853620489/9641633986767032*c_1001_12^4 - 1092620043574147/9641633986767032*c_1001_12^3 + 2797525606055269/4820816993383516*c_1001_12^2 - 3454654132335945/2410408496691758*c_1001_12 - 2566871731169/1205204248345879, c_0101_12 + 4181641865369/4820816993383516*c_1001_12^9 - 2089516162087/2410408496691758*c_1001_12^8 - 3253102332833/1205204248345879*c_1001_12^7 + 66751872877939/4820816993383516*c_1001_12^6 + 138286778448135/1205204248345879*c_1001_12^5 - 1688343464285517/4820816993383516*c_1001_12^4 - 1251197943376829/2410408496691758*c_1001_12^3 + 6447226321055899/4820816993383516*c_1001_12^2 - 2188736353940007/1205204248345879*c_1001_12 - 490662850908100/1205204248345879, c_0101_6 + 1, c_1001_1 - 2720458405/30705840722188*c_1001_12^9 - 22794623929/30705840722188*c_1001_12^8 + 65533576211/30705840722188*c_1001_12^7 + 43831876287/15352920361094*c_1001_12^6 - 370504572415/15352920361094*c_1001_12^5 - 2131954062015/30705840722188*c_1001_12^4 + 15658102973537/30705840722188*c_1001_12^3 + 6240746710347/15352920361094*c_1001_12^2 - 27144941271759/15352920361094*c_1001_12 + 3858001471493/7676460180547, c_1001_12^10 - c_1001_12^9 - 3*c_1001_12^8 + 14*c_1001_12^7 + 140*c_1001_12^6 - 393*c_1001_12^5 - 619*c_1001_12^4 + 1538*c_1001_12^3 - 1476*c_1001_12^2 - 1008*c_1001_12 - 160 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.370 Total time: 0.590 seconds, Total memory usage: 32.09MB