Magma V2.19-8 Tue Aug 20 2013 23:56:14 on localhost [Seed = 492533046] Type ? for help. Type -D to quit. Loading file "L14n15801__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15801 geometric_solution 10.99430948 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 0213 0 1 1 1 0 0 -1 1 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 -1 0 1 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 0.267175849687 1.314221398578 0 4 6 5 0132 0132 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 -1 1 1 0 -1 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 0.202476846860 1.608594336724 7 0 8 0 0132 0132 0132 0213 0 1 1 1 0 0 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 1 -1 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.267175849687 1.314221398578 4 8 8 0 2310 0132 0321 0132 0 1 1 1 0 -1 0 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 1 0 -1 0 0 1 -1 1 -1 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.851450200158 0.730707232469 7 1 3 9 1023 0132 3201 0132 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 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 0.247399947993 0.499002635447 7 8 1 10 2310 1023 0132 0132 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 1 -1 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.943520166156 0.733788528174 10 9 11 1 0132 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 0 1 0 0 -1 1 3 1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.124920715266 0.517624315779 2 4 5 10 0132 1023 3201 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339584183608 0.513614406216 5 3 3 2 1023 0132 0321 0132 0 1 1 1 0 1 0 -1 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 -1 0 1 -1 0 -3 4 -3 3 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.851450200158 0.730707232469 6 11 4 11 1302 2031 0132 0321 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 0 0 0 0 0 0 0 0 0 0 -1 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 1.111034039837 0.821566635519 6 7 5 11 0132 1302 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 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.337341165116 0.729159987330 9 9 10 6 1302 0321 0132 0132 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 0 0 0 0 0 0 0 0 -1 0 0 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 -0.161550985369 1.195353242205 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_3']), 'c_1001_10' : d['c_0101_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_0011_9'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_9'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : negation(d['c_0011_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_9']), 'c_0101_10' : d['c_0101_1'], '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_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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_2'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_2'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_9'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_1001_2'], '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'], '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_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], '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_9']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : negation(d['c_0101_3']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_1001_0, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 19238711959597183/13268894599061504*c_1100_1^13 + 106470616203752105/13268894599061504*c_1100_1^12 - 5516289739883281/1658611824882688*c_1100_1^11 - 1005260256176797527/13268894599061504*c_1100_1^10 - 1236315717925077423/13268894599061504*c_1100_1^9 - 293207912177637759/6634447299530752*c_1100_1^8 - 1095115405773041099/3317223649765376*c_1100_1^7 - 4286274039568791237/6634447299530752*c_1100_1^6 - 1061595091909318251/1658611824882688*c_1100_1^5 - 3408102000000974383/13268894599061504*c_1100_1^4 - 297366510516908067/6634447299530752*c_1100_1^3 + 218265373220095371/1658611824882688*c_1100_1^2 + 466223518784732131/3317223649765376*c_1100_1 + 906308451108029187/13268894599061504, c_0011_0 - 1, c_0011_10 - c_1100_1, c_0011_11 + 28714437867/1226783894144*c_1100_1^13 + 166723950229/1226783894144*c_1100_1^12 - 175537277/153347986768*c_1100_1^11 - 1402710321315/1226783894144*c_1100_1^10 - 2295872281171/1226783894144*c_1100_1^9 - 1211766296707/613391947072*c_1100_1^8 - 2035936953135/306695973536*c_1100_1^7 - 7771464219433/613391947072*c_1100_1^6 - 2691212495073/153347986768*c_1100_1^5 - 19023047024747/1226783894144*c_1100_1^4 - 6272849189187/613391947072*c_1100_1^3 - 85470715749/19168498346*c_1100_1^2 - 624310194959/306695973536*c_1100_1 - 270022130457/1226783894144, c_0011_3 - 19153344515/613391947072*c_1100_1^13 - 108500146213/613391947072*c_1100_1^12 + 1933650765/76673993384*c_1100_1^11 + 924551619067/613391947072*c_1100_1^10 + 1381034665683/613391947072*c_1100_1^9 + 734462356675/306695973536*c_1100_1^8 + 1362854912735/153347986768*c_1100_1^7 + 4992396751089/306695973536*c_1100_1^6 + 1679749760087/76673993384*c_1100_1^5 + 11798991272883/613391947072*c_1100_1^4 + 4932678543719/306695973536*c_1100_1^3 + 607047929093/76673993384*c_1100_1^2 + 666019172497/153347986768*c_1100_1 + 383980610345/613391947072, c_0011_9 - 84033367975/2453567788288*c_1100_1^13 - 476599957089/2453567788288*c_1100_1^12 + 14565338793/306695973536*c_1100_1^11 + 4344012909759/2453567788288*c_1100_1^10 + 5919965172855/2453567788288*c_1100_1^9 + 1872608808647/1226783894144*c_1100_1^8 + 5335798676979/613391947072*c_1100_1^7 + 21309944381693/1226783894144*c_1100_1^6 + 5648368083307/306695973536*c_1100_1^5 + 30611048305815/2453567788288*c_1100_1^4 + 10554336457499/1226783894144*c_1100_1^3 + 1087982565521/306695973536*c_1100_1^2 + 385124358557/613391947072*c_1100_1 + 582943051285/2453567788288, c_0101_0 + 132477190825/1226783894144*c_1100_1^13 + 697997485791/1226783894144*c_1100_1^12 - 55357667783/153347986768*c_1100_1^11 - 6539142931985/1226783894144*c_1100_1^10 - 6814843125993/1226783894144*c_1100_1^9 - 2297638511385/613391947072*c_1100_1^8 - 8106744846637/306695973536*c_1100_1^7 - 26488123685683/613391947072*c_1100_1^6 - 7076403952945/153347986768*c_1100_1^5 - 33119590889369/1226783894144*c_1100_1^4 - 11350321512557/613391947072*c_1100_1^3 - 371594069937/153347986768*c_1100_1^2 - 99971389751/306695973536*c_1100_1 + 913287261525/1226783894144, c_0101_1 + 19153344515/613391947072*c_1100_1^13 + 108500146213/613391947072*c_1100_1^12 - 1933650765/76673993384*c_1100_1^11 - 924551619067/613391947072*c_1100_1^10 - 1381034665683/613391947072*c_1100_1^9 - 734462356675/306695973536*c_1100_1^8 - 1362854912735/153347986768*c_1100_1^7 - 4992396751089/306695973536*c_1100_1^6 - 1679749760087/76673993384*c_1100_1^5 - 11798991272883/613391947072*c_1100_1^4 - 4932678543719/306695973536*c_1100_1^3 - 607047929093/76673993384*c_1100_1^2 - 666019172497/153347986768*c_1100_1 - 383980610345/613391947072, c_0101_2 - 53352863707/306695973536*c_1100_1^13 - 319185546813/306695973536*c_1100_1^12 - 4255582503/38336996692*c_1100_1^11 + 2693652096787/306695973536*c_1100_1^10 + 4633591396795/306695973536*c_1100_1^9 + 2202522038107/153347986768*c_1100_1^8 + 3819437224255/76673993384*c_1100_1^7 + 15674462475833/153347986768*c_1100_1^6 + 5122996603587/38336996692*c_1100_1^5 + 35698248625803/306695973536*c_1100_1^4 + 12908685662247/153347986768*c_1100_1^3 + 1597597857051/38336996692*c_1100_1^2 + 1072751528693/76673993384*c_1100_1 + 942675106241/306695973536, c_0101_3 - 1, c_1001_0 - 1, c_1001_2 + 80934264003/1226783894144*c_1100_1^13 + 578744701461/1226783894144*c_1100_1^12 + 72379997795/153347986768*c_1100_1^11 - 4235465455163/1226783894144*c_1100_1^10 - 11719522461187/1226783894144*c_1100_1^9 - 6512449641043/613391947072*c_1100_1^8 - 7171004050383/306695973536*c_1100_1^7 - 36209726217649/613391947072*c_1100_1^6 - 13415582461403/153347986768*c_1100_1^5 - 109673403613843/1226783894144*c_1100_1^4 - 40284421136431/613391947072*c_1100_1^3 - 6018797358267/153347986768*c_1100_1^2 - 4191034725021/306695973536*c_1100_1 - 4683987686489/1226783894144, c_1100_1^14 + 6*c_1100_1^13 + c_1100_1^12 - 49*c_1100_1^11 - 88*c_1100_1^10 - 97*c_1100_1^9 - 306*c_1100_1^8 - 610*c_1100_1^7 - 850*c_1100_1^6 - 809*c_1100_1^5 - 665*c_1100_1^4 - 382*c_1100_1^3 - 180*c_1100_1^2 - 55*c_1100_1 - 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB