Magma V2.19-8 Wed Aug 21 2013 01:01:12 on localhost [Seed = 728576218] Type ? for help. Type -D to quit. Loading file "L14a20581__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a20581 geometric_solution 10.82704663 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 0 1 0 0 0 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 0 0 0 0 1 -1 0 2 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 1.103284578385 0.707985783285 0 3 2 5 0132 1230 2103 0132 1 1 1 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 1 -1 0 -2 0 2 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 0.982284511597 0.513582207783 1 0 7 6 2103 0132 0132 0132 0 1 1 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 -1 1 0 -2 0 0 2 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.844291603060 1.220942940075 5 4 1 0 0132 0321 3012 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 -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 0.982284511597 0.513582207783 7 6 0 3 0132 0132 0132 0321 0 1 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 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 0.844291603060 1.220942940075 3 8 1 8 0132 0132 0132 2310 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 1.204700842915 0.219868763149 9 4 2 10 0132 0132 0132 0132 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 1 0 -2 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 0.155542259694 0.801047663476 4 11 9 2 0132 0132 0132 0132 0 1 0 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 0 0 0 0 0 0 0 0 1 0 -1 1 0 -1 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 0.155542259694 0.801047663476 5 5 8 8 3201 0132 2031 1302 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 0.701273395623 0.289166894432 6 11 10 7 0132 1023 0132 0132 0 1 1 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 -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 0 0 0 0.336995600165 0.465251010865 11 12 6 9 3201 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 1 0 -1 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 -0.078607078316 1.759318199115 9 7 12 10 1023 0132 0132 2310 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 0 0 0 0 0 0 -1 0 1 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 -0.078607078316 1.759318199115 12 10 12 11 2031 0132 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 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 0.182757257981 0.529741867769 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_1001_10'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : negation(d['c_0110_8']), 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_0101_11'], '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_0101_11'], '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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_3']), 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_0'], 'c_1100_7' : d['c_1100_10'], 'c_1100_6' : d['c_1100_10'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_1100_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_1100_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : negation(d['c_0110_8']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_1001_10'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0101_3'], '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_0011_10'], '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_11'], 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_11']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0101_10'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0011_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0101_3']), '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' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_10']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0110_8, c_1001_0, c_1001_10, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 32/845*c_1100_10^5 + 542/4225*c_1100_10^4 + 426/4225*c_1100_10^3 + 1544/4225*c_1100_10^2 + 12/4225*c_1100_10 + 2113/4225, c_0011_0 - 1, c_0011_10 + 2*c_1100_10^5 + c_1100_10^4 + 4*c_1100_10^3 - c_1100_10^2 + 6*c_1100_10 - 4, c_0011_11 + c_1100_10, c_0011_3 + 9/85*c_1100_10^5 + 7/85*c_1100_10^4 + 23/85*c_1100_10^3 - 1/85*c_1100_10^2 + 6/85*c_1100_10 + 3/17, c_0101_0 - 1, c_0101_1 - c_1100_10^5 - c_1100_10^3 + c_1100_10^2 - 2*c_1100_10 + 3, c_0101_10 + c_1100_10^4 + c_1100_10^3 + 2*c_1100_10^2 + c_1100_10 + 3, c_0101_11 - c_1100_10^5 - 2*c_1100_10^3 - 2*c_1100_10 + 3, c_0101_3 + 59/85*c_1100_10^5 + 27/85*c_1100_10^4 + 113/85*c_1100_10^3 - 16/85*c_1100_10^2 + 181/85*c_1100_10 - 20/17, c_0110_8 - 4/17*c_1100_10^5 - 5/17*c_1100_10^4 - 14/17*c_1100_10^3 - 9/17*c_1100_10^2 - 14/17*c_1100_10 - 1/17, c_1001_0 + c_1100_10^5 + c_1100_10^3 - c_1100_10^2 + 2*c_1100_10 - 3, c_1001_10 - c_1100_10^2 + 2*c_1100_10 - 2, c_1100_10^6 + 3*c_1100_10^4 + 6*c_1100_10^2 - 2*c_1100_10 + 5 ], 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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0110_8, c_1001_0, c_1001_10, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 806456772116103327324653499177773821/249179345447420600856830957142\ 27267*c_1100_10^19 + 3065859716679716351408652899449520887/14238819\ 739852605763247483265272724*c_1100_10^18 + 17191816299458061358113423457355986/2894069052815570277082821801884\ 7*c_1100_10^17 + 13170033735701700063610232201441504677/99671738178\ 968240342732382856909068*c_1100_10^16 - 79544803086922632574651666802295034391/1661195636316137339045539714\ 2818178*c_1100_10^15 - 303252866888425295903200328828083866790/2491\ 7934544742060085683095714227267*c_1100_10^14 - 195035288890245681933421795334186490527/498358690894841201713661914\ 28454534*c_1100_10^13 + 966242401872489623635458996969014248013/498\ 35869089484120171366191428454534*c_1100_10^12 + 112119387948033913032326992754129864899/830597818158068669522769857\ 1409089*c_1100_10^11 - 637388715946988258356723504933528656311/2491\ 7934544742060085683095714227267*c_1100_10^10 - 644534417835489983121047619948685302041/249179345447420600856830957\ 14227267*c_1100_10^9 + 54225589716736503784182495014353329965/11074\ 637575440915593636931428545452*c_1100_10^8 + 857139416326544017706757168370383494131/498358690894841201713661914\ 28454534*c_1100_10^7 - 22122414139203237635560748071798444543/35597\ 04934963151440811870816318181*c_1100_10^6 - 5945066863809852750061844726326104101/10170585528466146973748202332\ 33766*c_1100_10^5 - 15305525513977817451378806356267241827/11074637\ 575440915593636931428545452*c_1100_10^4 + 28840355285412089730775274751284464172/8305978181580686695227698571\ 409089*c_1100_10^3 - 23220525645307217171523247323315522770/2491793\ 4544742060085683095714227267*c_1100_10^2 + 7818829488290597305001681261259732052/83059781815806866952276985714\ 09089*c_1100_10 - 55107624352801902098420300961435510017/9967173817\ 8968240342732382856909068, c_0011_0 - 1, c_0011_10 + 6895389916936541195649505/63539685345891019680757404*c_1100\ _10^19 + 42859584500503215229359385/63539685345891019680757404*c_11\ 00_10^18 + 35778632310735893519510627/21179895115297006560252468*c_\ 1100_10^17 - 24142209442334407727045921/63539685345891019680757404*\ c_1100_10^16 - 172235384146675605926819261/105899475576485032801262\ 34*c_1100_10^15 - 1092850154435126813419915211/31769842672945509840\ 378702*c_1100_10^14 + 44525648305614119550747500/158849213364727549\ 20189351*c_1100_10^13 + 2280259830239286109680780047/31769842672945\ 509840378702*c_1100_10^12 + 153022616670888317815100440/52949737788\ 24251640063117*c_1100_10^11 - 1539800257180990721287777193/15884921\ 336472754920189351*c_1100_10^10 - 4444766878383706604223203495/6353\ 9685345891019680757404*c_1100_10^9 + 239283945348523767023052219/7059965038432335520084156*c_1100_10^8 + 2429310739307842388488816909/31769842672945509840378702*c_1100_10^7 - 733116749521839638072995979/31769842672945509840378702*c_1100_10^\ 6 - 1086000907828217325015715969/63539685345891019680757404*c_1100_\ 10^5 - 73321208931629101694003943/7059965038432335520084156*c_1100_\ 10^4 + 91175581419004233034165907/5294973778824251640063117*c_1100_\ 10^3 - 88867575565697661472906154/15884921336472754920189351*c_1100\ _10^2 + 109516993142919034172417101/21179895115297006560252468*c_11\ 00_10 - 172742304860370523947108653/63539685345891019680757404, c_0011_11 + c_1100_10, c_0011_3 + 393081246163776813019175211113/13877512057340019935415182335\ 428*c_1100_10^19 + 2480175198375753517905111202817/1387751205734001\ 9935415182335428*c_1100_10^18 + 51144008726283815169701148083/11282\ 5301279187153946464897036*c_1100_10^17 - 1047604793129407602320116969093/13877512057340019935415182335428*c_\ 1100_10^16 - 9881155644466054958811602368609/2312918676223336655902\ 530389238*c_1100_10^15 - 64245441225529523218395318287017/693875602\ 8670009967707591167714*c_1100_10^14 + 1482515223751456955390339912677/3469378014335004983853795583857*c_1\ 100_10^13 + 131318243437156584964605057266509/693875602867000996770\ 7591167714*c_1100_10^12 + 8302129470382923728945873566007/115645933\ 8111668327951265194619*c_1100_10^11 - 90177084699394798796078722186381/3469378014335004983853795583857*c_\ 1100_10^10 - 33221399024818582761090688995997/198250172247714570505\ 9311762204*c_1100_10^9 + 15642809666588371974776567386691/154194578\ 4148891103935020259492*c_1100_10^8 + 113305059280476712493561675974979/6938756028670009967707591167714*c\ _1100_10^7 - 38731126808610009783286772317477/693875602867000996770\ 7591167714*c_1100_10^6 - 70043150362899560502520392712001/138775120\ 57340019935415182335428*c_1100_10^5 - 264722439377266559740338140517/220277969164127300562145751356*c_110\ 0_10^4 + 4034336450662472937831178925563/11564593381116683279512651\ 94619*c_1100_10^3 + 2674715005248846144915781902188/346937801433500\ 4983853795583857*c_1100_10^2 + 227402815824867144808824507887/66083\ 3907492381901686437254068*c_1100_10 - 1818775368590117261268658207273/13877512057340019935415182335428, c_0101_0 - 1, c_0101_1 - 2004612698776658550727793/42359790230594013120504936*c_1100_\ 10^19 - 10667838558555669037166741/42359790230594013120504936*c_110\ 0_10^18 - 7139794373160354511604707/14119930076864671040168312*c_11\ 00_10^17 + 26658024605790189375186889/42359790230594013120504936*c_\ 1100_10^16 + 45923225828751757303264625/7059965038432335520084156*c\ _1100_10^15 + 190876904332006691618948629/2117989511529700656025246\ 8*c_1100_10^14 - 50360480576460699179002235/52949737788242516400631\ 17*c_1100_10^13 - 448525555362963301171485691/211798951152970065602\ 52468*c_1100_10^12 + 15174891487068430672516814/1764991259608083880\ 021039*c_1100_10^11 + 141129119237042655756030200/52949737788242516\ 40063117*c_1100_10^10 - 185015084672761933598717993/423597902305940\ 13120504936*c_1100_10^9 + 34408570563273194083400111/14119930076864\ 671040168312*c_1100_10^8 - 354254234178991104978775817/211798951152\ 97006560252468*c_1100_10^7 + 98553832873406256972911203/21179895115\ 297006560252468*c_1100_10^6 - 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