Magma V2.19-8 Wed Aug 21 2013 00:07:39 on localhost [Seed = 290946583] Type ? for help. Type -D to quit. Loading file "K13n2305__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2305 geometric_solution 11.63438765 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 -11 0 0 11 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.919538202044 1.609463982227 0 5 4 6 0132 0132 1230 0132 0 0 0 0 0 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 10 -11 1 11 0 -11 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 0.432996416390 0.471044587870 7 0 9 8 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.340084820265 0.772574791842 10 8 5 0 0132 0321 2031 0132 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 10 0 -10 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 0.174459420274 0.495641475105 5 10 0 1 2031 2310 0132 3012 0 0 0 0 0 0 0 0 0 0 -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 1 -1 0 0 0 -11 11 -1 -10 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.358152744855 1.123675902998 9 1 4 3 2103 0132 1302 1302 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 -10 0 10 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 0.418594545080 1.188863977796 10 11 1 11 2103 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.085469770998 1.014777444917 2 9 8 12 0132 2103 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.527297899668 0.374003821112 7 11 2 3 2031 0213 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.348336415483 0.817474681650 12 7 5 2 0132 2103 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379289230643 0.579844232545 3 12 6 4 0132 0132 2103 3201 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 -10 0 0 10 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430933487670 0.771991675266 12 6 8 6 3120 0132 0213 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.085469770998 1.014777444917 9 10 7 11 0132 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.630103249037 0.931967303209 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_4'], 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : negation(d['c_1001_12']), 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0110_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_1001_12']), 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0110_4'], 'c_1010_10' : d['c_1001_12'], 's_0_10' : 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_0011_8'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : 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_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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_0011_8']), 'c_1100_6' : d['c_0110_4'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0110_5']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_0'], 'c_1100_10' : negation(d['c_0011_4']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : negation(d['c_1001_12']), 'c_1010_9' : negation(d['c_1001_12']), 'c_1010_8' : d['c_1001_0'], '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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_8']), '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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_4']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0011_4']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_4']), 'c_0101_8' : negation(d['c_0011_8']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_8']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_12'], 'c_1100_8' : negation(d['c_0110_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_4, c_0011_8, c_0101_0, c_0101_1, c_0101_12, c_0110_4, c_0110_5, c_1001_0, c_1001_1, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 16900942367/78584418*c_1001_12^7 + 304258073465/2986207884*c_1001_12^6 + 1110848930077/1990805256*c_1001_12^5 - 446798706197/1990805256*c_1001_12^4 + 218309591651/663601752*c_1001_12^3 - 426365882567/663601752*c_1001_12^2 - 75557870143/221200584*c_1001_12 + 31922018461/221200584, c_0011_0 - 1, c_0011_10 + 40606/188001*c_1001_12^7 + 85121/1190673*c_1001_12^6 + 471049/793782*c_1001_12^5 - 215576/396891*c_1001_12^4 + 183988/396891*c_1001_12^3 - 205945/264594*c_1001_12^2 + 1859/4009*c_1001_12 + 3840/44099, c_0011_11 + 1, c_0011_4 + 68804/188001*c_1001_12^7 - 22412/1190673*c_1001_12^6 + 304498/396891*c_1001_12^5 - 691727/793782*c_1001_12^4 + 319763/396891*c_1001_12^3 - 100906/132297*c_1001_12^2 + 2593/8018*c_1001_12 + 67124/44099, c_0011_8 + 66788/188001*c_1001_12^7 + 62048/396891*c_1001_12^6 + 1123690/1190673*c_1001_12^5 - 494099/793782*c_1001_12^4 + 696277/793782*c_1001_12^3 - 124015/132297*c_1001_12^2 + 26107/24054*c_1001_12 + 22291/88198, c_0101_0 - 26182/188001*c_1001_12^7 - 5317/62667*c_1001_12^6 - 43907/125334*c_1001_12^5 + 3313/41778*c_1001_12^4 - 17279/41778*c_1001_12^3 + 2215/13926*c_1001_12^2 + 479/1266*c_1001_12 - 769/4642, c_0101_1 - 18862/188001*c_1001_12^7 + 168215/1190673*c_1001_12^6 - 197117/793782*c_1001_12^5 + 52973/132297*c_1001_12^4 - 38725/72162*c_1001_12^3 + 100607/88198*c_1001_12^2 - 6781/44099*c_1001_12 + 34669/88198, c_0101_12 + 2236/5697*c_1001_12^7 + 44188/108243*c_1001_12^6 + 5896/4009*c_1001_12^5 + 1205/24054*c_1001_12^4 + 5451/8018*c_1001_12^3 - 4556/4009*c_1001_12^2 - 1523/8018*c_1001_12 + 7633/8018, c_0110_4 - 52364/188001*c_1001_12^7 - 10634/62667*c_1001_12^6 - 43907/62667*c_1001_12^5 + 3313/20889*c_1001_12^4 - 17279/20889*c_1001_12^3 + 2215/6963*c_1001_12^2 - 154/633*c_1001_12 - 769/2321, c_0110_5 + 66788/188001*c_1001_12^7 + 62048/396891*c_1001_12^6 + 1123690/1190673*c_1001_12^5 - 494099/793782*c_1001_12^4 + 696277/793782*c_1001_12^3 - 124015/132297*c_1001_12^2 + 26107/24054*c_1001_12 + 22291/88198, c_1001_0 + 40606/188001*c_1001_12^7 + 85121/1190673*c_1001_12^6 + 471049/793782*c_1001_12^5 - 215576/396891*c_1001_12^4 + 183988/396891*c_1001_12^3 - 205945/264594*c_1001_12^2 + 1859/4009*c_1001_12 + 3840/44099, c_1001_1 - 47060/188001*c_1001_12^7 + 8356/36081*c_1001_12^6 - 55844/132297*c_1001_12^5 + 52583/72162*c_1001_12^4 - 697525/793782*c_1001_12^3 + 148844/132297*c_1001_12^2 - 1187/88198*c_1001_12 - 3701/88198, c_1001_12^8 + 21/38*c_1001_12^7 + 207/76*c_1001_12^6 - 9/19*c_1001_12^5 + 45/19*c_1001_12^4 - 27/19*c_1001_12^3 + 81/38*c_1001_12 + 81/76 ], 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_4, c_0011_8, c_0101_0, c_0101_1, c_0101_12, c_0110_4, c_0110_5, c_1001_0, c_1001_1, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 397760171138542600637/26830487359716398848*c_1001_12^21 - 6466938703802442875349/107321949438865595392*c_1001_12^20 - 3585212756874594560017/26830487359716398848*c_1001_12^19 - 2674961585006508711921/7665853531347542528*c_1001_12^18 - 7457006065000804330359/13415243679858199424*c_1001_12^17 - 29865249225867008889423/26830487359716398848*c_1001_12^16 - 101395068142328810759155/53660974719432797696*c_1001_12^15 - 88552229573258881962127/26830487359716398848*c_1001_12^14 - 622599571222181968002985/107321949438865595392*c_1001_12^13 - 488562995897541431225103/53660974719432797696*c_1001_12^12 - 1488506295053633273888993/107321949438865595392*c_1001_12^11 - 2003201246589645253459541/107321949438865595392*c_1001_12^10 - 2487511541918918897295923/107321949438865595392*c_1001_12^9 - 347721876990593920937189/13415243679858199424*c_1001_12^8 - 2773539552840838193499669/107321949438865595392*c_1001_12^7 - 2529140331104978854375675/107321949438865595392*c_1001_12^6 - 1989273448450168775223563/107321949438865595392*c_1001_12^5 - 176392041152221104852813/13415243679858199424*c_1001_12^4 - 854759707075002766649113/107321949438865595392*c_1001_12^3 - 103169206906725861180123/26830487359716398848*c_1001_12^2 - 173497187079803317736623/107321949438865595392*c_1001_12 - 10194303925195399502151/26830487359716398848, c_0011_0 - 1, c_0011_10 + 10498487005/44225952872*c_1001_12^21 + 55282561763/44225952872*c_1001_12^20 + 69499427249/22112976436*c_1001_12^19 + 161559473557/22112976436*c_1001_12^18 + 144546002253/11056488218*c_1001_12^17 + 492679511649/22112976436*c_1001_12^16 + 894994774997/22112976436*c_1001_12^15 + 3027055161353/44225952872*c_1001_12^14 + 5408017524605/44225952872*c_1001_12^13 + 8666111883811/44225952872*c_1001_12^12 + 1607317672992/5528244109*c_1001_12^11 + 8620915155479/22112976436*c_1001_12^10 + 20309266132293/44225952872*c_1001_12^9 + 21795610923789/44225952872*c_1001_12^8 + 10122568750893/22112976436*c_1001_12^7 + 2124149402847/5528244109*c_1001_12^6 + 12370074672461/44225952872*c_1001_12^5 + 7675218036941/44225952872*c_1001_12^4 + 4359731423435/44225952872*c_1001_12^3 + 1752182123639/44225952872*c_1001_12^2 + 745508521249/44225952872*c_1001_12 + 56687628939/11056488218, c_0011_11 + 37206277459/44225952872*c_1001_12^21 + 107976714709/44225952872*c_1001_12^20 + 84950412811/22112976436*c_1001_12^19 + 252914135947/22112976436*c_1001_12^18 + 101918665511/11056488218*c_1001_12^17 + 672062765527/22112976436*c_1001_12^16 + 839695840991/22112976436*c_1001_12^15 + 3470137464103/44225952872*c_1001_12^14 + 5806714209315/44225952872*c_1001_12^13 + 7674069912429/44225952872*c_1001_12^12 + 1391992260777/5528244109*c_1001_12^11 + 5431777416973/22112976436*c_1001_12^10 + 11579326003371/44225952872*c_1001_12^9 + 8491334109579/44225952872*c_1001_12^8 + 2647073658547/22112976436*c_1001_12^7 + 382969758577/5528244109*c_1001_12^6 - 889044248477/44225952872*c_1001_12^5 - 151746564629/44225952872*c_1001_12^4 - 1547147635803/44225952872*c_1001_12^3 - 781407599367/44225952872*c_1001_12^2 - 98199530641/44225952872*c_1001_12 - 91298801583/11056488218, c_0011_4 + 42102512207/88451905744*c_1001_12^21 + 101198642933/88451905744*c_1001_12^20 + 56412818731/44225952872*c_1001_12^19 + 204925232215/44225952872*c_1001_12^18 + 14798836345/22112976436*c_1001_12^17 + 496510733259/44225952872*c_1001_12^16 + 380138668139/44225952872*c_1001_12^15 + 2163002169035/88451905744*c_1001_12^14 + 3244086286715/88451905744*c_1001_12^13 + 3039251262393/88451905744*c_1001_12^12 + 1025451352873/22112976436*c_1001_12^11 + 13481750743/44225952872*c_1001_12^10 - 1609725243117/88451905744*c_1001_12^9 - 7078266914657/88451905744*c_1001_12^8 - 5038418595591/44225952872*c_1001_12^7 - 2608885783095/22112976436*c_1001_12^6 - 11818308770629/88451905744*c_1001_12^5 - 6905688829809/88451905744*c_1001_12^4 - 5914521425275/88451905744*c_1001_12^3 - 2618831553347/88451905744*c_1001_12^2 - 814062830217/88451905744*c_1001_12 - 181988199097/22112976436, c_0011_8 - 57425067289/176903811488*c_1001_12^21 - 182594251735/176903811488*c_1001_12^20 - 161597277725/88451905744*c_1001_12^19 - 447895555821/88451905744*c_1001_12^18 - 229027231243/44225952872*c_1001_12^17 - 1238475766237/88451905744*c_1001_12^16 - 1694463102985/88451905744*c_1001_12^15 - 6698437934829/176903811488*c_1001_12^14 - 11305972282961/176903811488*c_1001_12^13 - 15948569753191/176903811488*c_1001_12^12 - 1457567133169/11056488218*c_1001_12^11 - 12770662512659/88451905744*c_1001_12^10 - 28476134034161/176903811488*c_1001_12^9 - 24911433397017/176903811488*c_1001_12^8 - 9810702555193/88451905744*c_1001_12^7 - 1782543419903/22112976436*c_1001_12^6 - 6107608842937/176903811488*c_1001_12^5 - 4121668928793/176903811488*c_1001_12^4 - 300247281655/176903811488*c_1001_12^3 + 142489673045/176903811488*c_1001_12^2 - 294120806701/176903811488*c_1001_12 + 109343549151/44225952872, c_0101_0 + 2002065341/44225952872*c_1001_12^21 + 18915485261/22112976436*c_1001_12^20 + 56563096383/22112976436*c_1001_12^19 + 54384531199/11056488218*c_1001_12^18 + 139665527819/11056488218*c_1001_12^17 + 340661192267/22112976436*c_1001_12^16 + 405115433461/11056488218*c_1001_12^15 + 2405240250513/44225952872*c_1001_12^14 + 562564467564/5528244109*c_1001_12^13 + 7630527538609/44225952872*c_1001_12^12 + 11037874855575/44225952872*c_1001_12^11 + 16123489280465/44225952872*c_1001_12^10 + 9444885482395/22112976436*c_1001_12^9 + 21676650552161/44225952872*c_1001_12^8 + 20799150779741/44225952872*c_1001_12^7 + 18040158763605/44225952872*c_1001_12^6 + 7224766088067/22112976436*c_1001_12^5 + 8694902865305/44225952872*c_1001_12^4 + 2925693848959/22112976436*c_1001_12^3 + 2353205715647/44225952872*c_1001_12^2 + 462107111235/22112976436*c_1001_12 + 61629740745/5528244109, c_0101_1 - 61629740745/88451905744*c_1001_12^21 - 180885091553/88451905744*c_1001_12^20 - 147058251713/44225952872*c_1001_12^19 - 441541473939/44225952872*c_1001_12^18 - 199379641327/22112976436*c_1001_12^17 - 1228600370329/44225952872*c_1001_12^16 - 1598978023031/44225952872*c_1001_12^15 - 6434945829277/88451905744*c_1001_12^14 - 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