Magma V2.19-8 Wed Aug 21 2013 00:42:41 on localhost [Seed = 156180083] Type ? for help. Type -D to quit. Loading file "K14n4704__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n4704 geometric_solution 11.80194684 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 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 1 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 0.727983725976 0.766616373688 0 4 0 5 0132 0132 3012 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 -1 0 1 0 -1 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 0.348654246935 0.685911376058 6 3 7 0 0132 1023 0132 0132 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 1 -1 0 0 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.697308493870 1.371822752116 2 8 0 4 1023 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 -11 12 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.272016274024 0.766616373688 5 1 3 9 3120 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 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 0 0 0 0.576688236020 0.347557380573 10 11 1 4 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.153376472041 0.695114761147 2 12 10 11 0132 0132 0132 2310 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 -12 11 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 0.863863378818 0.934388099283 10 8 9 2 1302 0321 0132 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 0 0 0 1 0 0 -1 -11 0 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196335346934 0.504314187035 12 3 11 7 0132 0132 0132 0321 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 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.068431554464 0.728857441846 10 11 4 7 2103 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.562110314054 1.363818372517 5 7 9 6 0132 2031 2103 0132 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 11 0 -11 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 0.780494674872 0.819724134241 6 5 9 8 3201 0132 0213 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.124094264474 1.142628312941 8 6 12 12 0132 0132 1230 3012 0 0 0 0 0 -1 0 1 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 12 0 -12 0 0 0 0 0 0 0 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485386901689 0.706938227351 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_0']), 'c_1001_10' : d['c_0011_9'], 'c_1001_12' : negation(d['c_0101_8']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : negation(d['c_0011_0']), 'c_1001_8' : d['c_1001_4'], 'c_1010_12' : d['c_0011_7'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_0011_7'], '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'], 'c_0101_12' : negation(d['c_0011_7']), 'c_0101_11' : d['c_0011_9'], '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' : negation(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' : 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_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_1001_7'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1001_7'], 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_8']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_1001_7'], 'c_1010_8' : d['c_0101_1'], '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' : negation(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' : negation(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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : d['c_0011_12'], 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0101_8'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_9']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : negation(d['c_0011_9']), 's_2_9' : negation(d['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_12, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0101_8, c_1001_4, c_1001_7, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1124497/3751936*c_1100_0^9 + 1931773/3751936*c_1100_0^8 - 3893565/3751936*c_1100_0^7 + 9664859/3751936*c_1100_0^6 - 8927973/3751936*c_1100_0^5 + 2099287/468992*c_1100_0^4 - 15432971/3751936*c_1100_0^3 + 4127923/1875968*c_1100_0^2 - 13976703/3751936*c_1100_0 + 2828021/3751936, c_0011_0 - 1, c_0011_10 + c_1100_0^2 + 1, c_0011_12 + c_1100_0^8 + 3*c_1100_0^6 - 2*c_1100_0^5 + 3*c_1100_0^4 - 5*c_1100_0^3 - 2*c_1100_0, c_0011_7 + 1/4*c_1100_0^9 - 1/4*c_1100_0^8 + 5/4*c_1100_0^7 - 7/4*c_1100_0^6 + 13/4*c_1100_0^5 - 4*c_1100_0^4 + 19/4*c_1100_0^3 - 7/2*c_1100_0^2 + 11/4*c_1100_0 - 5/4, c_0011_9 + c_1100_0^2 + 1, c_0101_0 - c_1100_0^9 - 3*c_1100_0^7 + 2*c_1100_0^6 - 3*c_1100_0^5 + 5*c_1100_0^4 + 2*c_1100_0^2 - 2*c_1100_0, c_0101_1 - 1, c_0101_10 - c_1100_0^8 - 3*c_1100_0^6 + 2*c_1100_0^5 - 3*c_1100_0^4 + 5*c_1100_0^3 + 2*c_1100_0, c_0101_4 - c_1100_0^9 - 3*c_1100_0^7 + 2*c_1100_0^6 - 3*c_1100_0^5 + 5*c_1100_0^4 + 2*c_1100_0^2 - c_1100_0, c_0101_8 + 1/4*c_1100_0^9 - 1/4*c_1100_0^8 + 5/4*c_1100_0^7 - 7/4*c_1100_0^6 + 9/4*c_1100_0^5 - 4*c_1100_0^4 + 11/4*c_1100_0^3 - 7/2*c_1100_0^2 + 7/4*c_1100_0 - 5/4, c_1001_4 - c_1100_0, c_1001_7 + 1/8*c_1100_0^9 - 1/8*c_1100_0^8 + 5/8*c_1100_0^7 - 7/8*c_1100_0^6 + 13/8*c_1100_0^5 - 5/2*c_1100_0^4 + 15/8*c_1100_0^3 - 11/4*c_1100_0^2 + 7/8*c_1100_0 - 9/8, c_1100_0^10 + 4*c_1100_0^8 - 2*c_1100_0^7 + 6*c_1100_0^6 - 7*c_1100_0^5 + 3*c_1100_0^4 - 7*c_1100_0^3 + c_1100_0^2 - 2*c_1100_0 - 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_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0101_8, c_1001_4, c_1001_7, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 3713715057641581/37603139088058*c_1100_0^15 + 16758513535156866/18801569544029*c_1100_0^14 - 54064231187678552/18801569544029*c_1100_0^13 + 86243876341304864/18801569544029*c_1100_0^12 - 168887034962966959/18801569544029*c_1100_0^11 + 1419023372552480487/37603139088058*c_1100_0^10 - 3978271876467010251/37603139088058*c_1100_0^9 + 79472388541248247/508150528217*c_1100_0^8 - 2124430304123213259/18801569544029*c_1100_0^7 + 811348923666097777/37603139088058*c_1100_0^6 + 761950495680703751/37603139088058*c_1100_0^5 - 275090207979446238/18801569544029*c_1100_0^4 - 28411783922005559/18801569544029*c_1100_0^3 + 125573519581879599/18801569544029*c_1100_0^2 + 119551733239765871/37603139088058*c_1100_0 + 9232886556072596/18801569544029, c_0011_0 - 1, c_0011_10 - 189698763408/989556291791*c_1100_0^15 + 1046474344462/989556291791*c_1100_0^14 - 2306893993016/989556291791*c_1100_0^13 + 3398348196437/989556291791*c_1100_0^12 - 10961937106112/989556291791*c_1100_0^11 + 40079871149953/989556291791*c_1100_0^10 - 84606274587395/989556291791*c_1100_0^9 + 2731380216060/26744764643*c_1100_0^8 - 60945052098781/989556291791*c_1100_0^7 - 6365975054785/989556291791*c_1100_0^6 + 46687839691055/989556291791*c_1100_0^5 - 37977921246683/989556291791*c_1100_0^4 + 12128938999543/989556291791*c_1100_0^3 + 101091550203/989556291791*c_1100_0^2 - 4258705999761/989556291791*c_1100_0 - 1272489983159/989556291791, c_0011_12 + 4887150480/989556291791*c_1100_0^15 - 98565698390/989556291791*c_1100_0^14 + 560331059628/989556291791*c_1100_0^13 - 1557500718731/989556291791*c_1100_0^12 + 3004376260367/989556291791*c_1100_0^11 - 7605353241189/989556291791*c_1100_0^10 + 24529921456844/989556291791*c_1100_0^9 - 1601382475627/26744764643*c_1100_0^8 + 94587758275492/989556291791*c_1100_0^7 - 100565107287115/989556291791*c_1100_0^6 + 70340184335468/989556291791*c_1100_0^5 - 28613267342007/989556291791*c_1100_0^4 + 3347950395856/989556291791*c_1100_0^3 + 2310553756277/989556291791*c_1100_0^2 - 1435029027747/989556291791*c_1100_0 + 332365305933/989556291791, c_0011_7 + 914088824670/989556291791*c_1100_0^15 - 5722391537949/989556291791*c_1100_0^14 + 15205243995309/989556291791*c_1100_0^13 - 26921594790600/989556291791*c_1100_0^12 + 71426849717139/989556291791*c_1100_0^11 - 244139548736386/989556291791*c_1100_0^10 + 581059087763809/989556291791*c_1100_0^9 - 24085566513181/26744764643*c_1100_0^8 + 904022508230589/989556291791*c_1100_0^7 - 586611129726958/989556291791*c_1100_0^6 + 189062179803662/989556291791*c_1100_0^5 + 19956720614165/989556291791*c_1100_0^4 - 36868283527533/989556291791*c_1100_0^3 + 8632747324713/989556291791*c_1100_0^2 + 12594278941300/989556291791*c_1100_0 + 2397485806253/989556291791, c_0011_9 - 189698763408/989556291791*c_1100_0^15 + 1046474344462/989556291791*c_1100_0^14 - 2306893993016/989556291791*c_1100_0^13 + 3398348196437/989556291791*c_1100_0^12 - 10961937106112/989556291791*c_1100_0^11 + 40079871149953/989556291791*c_1100_0^10 - 84606274587395/989556291791*c_1100_0^9 + 2731380216060/26744764643*c_1100_0^8 - 60945052098781/989556291791*c_1100_0^7 - 6365975054785/989556291791*c_1100_0^6 + 46687839691055/989556291791*c_1100_0^5 - 37977921246683/989556291791*c_1100_0^4 + 12128938999543/989556291791*c_1100_0^3 + 101091550203/989556291791*c_1100_0^2 - 4258705999761/989556291791*c_1100_0 - 1272489983159/989556291791, c_0101_0 - 218547670020/989556291791*c_1100_0^15 + 1481664298701/989556291791*c_1100_0^14 - 4239218302826/989556291791*c_1100_0^13 + 7735564184407/989556291791*c_1100_0^12 - 19020864388148/989556291791*c_1100_0^11 + 64892147900961/989556291791*c_1100_0^10 - 162249661501570/989556291791*c_1100_0^9 + 7060235809951/26744764643*c_1100_0^8 - 273705695327400/989556291791*c_1100_0^7 + 178608971146472/989556291791*c_1100_0^6 - 51979355804078/989556291791*c_1100_0^5 - 17516164216496/989556291791*c_1100_0^4 + 21162437791593/989556291791*c_1100_0^3 - 7833693617880/989556291791*c_1100_0^2 - 922257480137/989556291791*c_1100_0 + 309145412433/989556291791, c_0101_1 - 4887150480/989556291791*c_1100_0^15 + 98565698390/989556291791*c_1100_0^14 - 560331059628/989556291791*c_1100_0^13 + 1557500718731/989556291791*c_1100_0^12 - 3004376260367/989556291791*c_1100_0^11 + 7605353241189/989556291791*c_1100_0^10 - 24529921456844/989556291791*c_1100_0^9 + 1601382475627/26744764643*c_1100_0^8 - 94587758275492/989556291791*c_1100_0^7 + 100565107287115/989556291791*c_1100_0^6 - 70340184335468/989556291791*c_1100_0^5 + 28613267342007/989556291791*c_1100_0^4 - 3347950395856/989556291791*c_1100_0^3 - 2310553756277/989556291791*c_1100_0^2 + 1435029027747/989556291791*c_1100_0 + 657190985858/989556291791, c_0101_10 - 4887150480/989556291791*c_1100_0^15 + 98565698390/989556291791*c_1100_0^14 - 560331059628/989556291791*c_1100_0^13 + 1557500718731/989556291791*c_1100_0^12 - 3004376260367/989556291791*c_1100_0^11 + 7605353241189/989556291791*c_1100_0^10 - 24529921456844/989556291791*c_1100_0^9 + 1601382475627/26744764643*c_1100_0^8 - 94587758275492/989556291791*c_1100_0^7 + 100565107287115/989556291791*c_1100_0^6 - 70340184335468/989556291791*c_1100_0^5 + 28613267342007/989556291791*c_1100_0^4 - 3347950395856/989556291791*c_1100_0^3 - 2310553756277/989556291791*c_1100_0^2 + 1435029027747/989556291791*c_1100_0 - 332365305933/989556291791, c_0101_4 + 396751327281/989556291791*c_1100_0^15 - 2404715598993/989556291791*c_1100_0^14 + 6135306699541/989556291791*c_1100_0^13 - 10514135800762/989556291791*c_1100_0^12 + 29005914338090/989556291791*c_1100_0^11 - 100437718801564/989556291791*c_1100_0^10 + 233079496364637/989556291791*c_1100_0^9 - 9259672024488/26744764643*c_1100_0^8 + 328391204327137/989556291791*c_1100_0^7 - 196585581264258/989556291791*c_1100_0^6 + 53295158379670/989556291791*c_1100_0^5 + 8670709920472/989556291791*c_1100_0^4 - 6045887034812/989556291791*c_1100_0^3 - 2129200000698/989556291791*c_1100_0^2 + 6097765273304/989556291791*c_1100_0 + 1792561421526/989556291791, c_0101_8 + 985398996531/989556291791*c_1100_0^15 - 6283590204839/989556291791*c_1100_0^14 + 17102704297430/989556291791*c_1100_0^13 - 30728286949543/989556291791*c_1100_0^12 + 79500401272701/989556291791*c_1100_0^11 - 270554930237977/989556291791*c_1100_0^10 + 654570196756186/989556291791*c_1100_0^9 - 27667841428014/26744764643*c_1100_0^8 + 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32.09MB