Magma V2.19-8 Wed Aug 21 2013 00:57:51 on localhost [Seed = 475661986] Type ? for help. Type -D to quit. Loading file "L13n4532__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4532 geometric_solution 11.96361611 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 1 1 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 0 -1 0 0 1 -1 1 -2 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619504216266 1.592071192943 0 5 7 6 0132 0132 0132 0132 1 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.173848808349 0.541130760657 4 0 3 6 0132 0132 0213 2031 0 1 1 1 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 -1 0 1 1 0 -1 0 -1 1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509871935809 0.613385808969 8 2 9 0 0132 0213 0132 0132 0 1 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 0 0 0 0 0 0 0 0 0 0 0 2 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 0.295774246836 0.671993815373 2 9 0 10 0132 0132 0132 0132 0 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 0 1 -1 -1 0 1 0 2 0 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338598351303 0.699147864593 9 1 7 11 0132 0132 1302 0132 1 1 1 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 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 1.029826229998 1.146137393223 8 2 1 12 2103 1302 0132 0132 1 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 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.234154802735 0.853937940964 5 10 12 1 2031 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417516283744 1.524554022018 3 12 6 10 0132 3120 2103 0321 0 1 1 1 0 1 -1 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 -2 1 1 -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 0 0 0 1.013798982695 1.226836895910 5 4 11 3 0132 0132 2031 0132 0 1 1 1 0 0 0 0 -1 0 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 -1 0 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 0.593995199020 0.900451261170 7 8 4 11 1023 0321 0132 2031 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 -1 1 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594089430134 0.804647838275 12 10 5 9 0132 1302 0132 1302 1 1 0 1 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 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 0.334285566545 0.813633741908 11 8 6 7 0132 3120 0132 0132 1 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 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.940894277859 0.833600424210 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_10'], 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : negation(d['c_0011_6']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0110_10'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : d['c_0011_3'], 'c_1010_11' : d['c_1010_11'], 'c_1010_10' : d['c_0011_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_0011_3'], '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_1010_11']), 'c_1100_8' : negation(d['c_0101_12']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : negation(d['c_1010_11']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1010_11']), 'c_1100_3' : negation(d['c_1010_11']), 'c_1100_2' : d['c_0011_6'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : negation(d['c_1010_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_10'], 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : negation(d['c_0101_12']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_11'], '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_1100_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' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_0101_12'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_0'], '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_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_12']})} 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_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0110_10, c_1001_2, c_1010_11, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 25288681758112610158634098/4141705308376753634143*c_1100_1^10 - 21563397519065409125881447/57983874317274550878002*c_1100_1^9 + 18864567621139991223802377619/405887120220921856146014*c_1100_1^8 - 4229754000097375852117555140/202943560110460928073007*c_1100_1^7 + 61994720585277800353913497/57983874317274550878002*c_1100_1^6 + 1254933184982763586396363283/28991937158637275439001*c_1100_1^5 + 7152334748188162758501184921/405887120220921856146014*c_1100_1^4 - 7955930885400857913084398873/405887120220921856146014*c_1100_1^3 - 694457246164310786303313212/202943560110460928073007*c_1100_1^2 + 2005315181218741476119492521/405887120220921856146014*c_1100_1 + 1021906283232282743517153739/405887120220921856146014, c_0011_0 - 1, c_0011_10 - 9830571426302907/8446491394991467*c_1100_1^10 + 383910251996915/8446491394991467*c_1100_1^9 - 2492481561751346/291258323965223*c_1100_1^8 + 26611243515244763/8446491394991467*c_1100_1^7 + 691228734081301/291258323965223*c_1100_1^6 - 119971275910326837/8446491394991467*c_1100_1^5 - 425753528784836/8446491394991467*c_1100_1^4 + 26992368359923248/8446491394991467*c_1100_1^3 - 10962920612016584/8446491394991467*c_1100_1^2 - 14741699640113217/8446491394991467*c_1100_1 + 471677769572075/8446491394991467, c_0011_11 + 597177224218820/291258323965223*c_1100_1^10 + 543644644849376/291258323965223*c_1100_1^9 + 3833362145511253/291258323965223*c_1100_1^8 + 2620568435626050/291258323965223*c_1100_1^7 - 7173613904499522/291258323965223*c_1100_1^6 + 8259501119245243/291258323965223*c_1100_1^5 + 4054180985421394/291258323965223*c_1100_1^4 - 4061505363216256/291258323965223*c_1100_1^3 - 2586211784205149/291258323965223*c_1100_1^2 + 1815797184297117/291258323965223*c_1100_1 + 499274837082008/291258323965223, c_0011_3 - 36486403348922674/8446491394991467*c_1100_1^10 + 3223595333960596/8446491394991467*c_1100_1^9 - 9525962926265405/291258323965223*c_1100_1^8 + 133922047539577062/8446491394991467*c_1100_1^7 + 29649092255022/291258323965223*c_1100_1^6 - 248580670121178802/8446491394991467*c_1100_1^5 - 111054795506753632/8446491394991467*c_1100_1^4 + 142823667198872543/8446491394991467*c_1100_1^3 + 33784855927539689/8446491394991467*c_1100_1^2 - 36998567726152775/8446491394991467*c_1100_1 - 13721455260967833/8446491394991467, c_0011_6 - 1, c_0101_0 + 5050543922563377/8446491394991467*c_1100_1^10 - 7559229938671159/8446491394991467*c_1100_1^9 + 1452346479870566/291258323965223*c_1100_1^8 - 75059533258940110/8446491394991467*c_1100_1^7 + 1778687297399953/291258323965223*c_1100_1^6 + 5173745244674569/8446491394991467*c_1100_1^5 - 19193903355882296/8446491394991467*c_1100_1^4 - 17011316228577422/8446491394991467*c_1100_1^3 + 7270269454844412/8446491394991467*c_1100_1^2 + 7675561197847572/8446491394991467*c_1100_1 - 2540064514228476/8446491394991467, c_0101_1 - 41299242465806115/8446491394991467*c_1100_1^10 - 939300568293178/8446491394991467*c_1100_1^9 - 10931394439206444/291258323965223*c_1100_1^8 + 114694397886874409/8446491394991467*c_1100_1^7 - 652423825822576/291258323965223*c_1100_1^6 - 284321306534790216/8446491394991467*c_1100_1^5 - 156448686943583817/8446491394991467*c_1100_1^4 + 112214870337212488/8446491394991467*c_1100_1^3 + 28186950117883267/8446491394991467*c_1100_1^2 - 32740293528496724/8446491394991467*c_1100_1 - 17739923097529370/8446491394991467, c_0101_11 - 24689292804560580/8446491394991467*c_1100_1^10 - 860300282246496/8446491394991467*c_1100_1^9 - 6216979663548260/291258323965223*c_1100_1^8 + 63687512439735982/8446491394991467*c_1100_1^7 + 2152940309145116/291258323965223*c_1100_1^6 - 218479154482104511/8446491394991467*c_1100_1^5 - 69203834782694659/8446491394991467*c_1100_1^4 + 112344335417620260/8446491394991467*c_1100_1^3 + 24000344103303157/8446491394991467*c_1100_1^2 - 31023879366512086/8446491394991467*c_1100_1 - 11972376952361993/8446491394991467, c_0101_12 - 26575677465995889/8446491394991467*c_1100_1^10 - 21188322492393693/8446491394991467*c_1100_1^9 - 6499839660973153/291258323965223*c_1100_1^8 - 90950751111393126/8446491394991467*c_1100_1^7 + 5843271402627828/291258323965223*c_1100_1^6 - 289968349359416491/8446491394991467*c_1100_1^5 - 200910624523958270/8446491394991467*c_1100_1^4 + 107080115269182995/8446491394991467*c_1100_1^3 + 68299026355638306/8446491394991467*c_1100_1^2 - 45788060915526314/8446491394991467*c_1100_1 - 17460908519623631/8446491394991467, c_0110_10 - 94204823630767871/8446491394991467*c_1100_1^10 - 1503082958205563/8446491394991467*c_1100_1^9 - 24672869657161927/291258323965223*c_1100_1^8 + 264050189549669970/8446491394991467*c_1100_1^7 + 605667205116981/291258323965223*c_1100_1^6 - 690687334953181334/8446491394991467*c_1100_1^5 - 310513245081831173/8446491394991467*c_1100_1^4 + 286116503379733387/8446491394991467*c_1100_1^3 + 59305684604532671/8446491394991467*c_1100_1^2 - 84026142538697147/8446491394991467*c_1100_1 - 36471870375338850/8446491394991467, c_1001_2 - 27184567470089239/8446491394991467*c_1100_1^10 + 14577229691188717/8446491394991467*c_1100_1^9 - 7449625150264996/291258323965223*c_1100_1^8 + 194515172076627039/8446491394991467*c_1100_1^7 - 3802027874319198/291258323965223*c_1100_1^6 - 139984997164166080/8446491394991467*c_1100_1^5 + 19343300111191294/8446491394991467*c_1100_1^4 + 60968464472622325/8446491394991467*c_1100_1^3 - 23975291635364466/8446491394991467*c_1100_1^2 + 12049432933461691/8446491394991467*c_1100_1 - 2588702053383593/8446491394991467, c_1010_11 - 31659033001703177/8446491394991467*c_1100_1^10 - 10616668769302064/8446491394991467*c_1100_1^9 - 8317482571903978/291258323965223*c_1100_1^8 + 13329422238539678/8446491394991467*c_1100_1^7 + 912595155669023/291258323965223*c_1100_1^6 - 216085200352050206/8446491394991467*c_1100_1^5 - 207490955720239027/8446491394991467*c_1100_1^4 + 83501582504754536/8446491394991467*c_1100_1^3 + 59123502248309644/8446491394991467*c_1100_1^2 - 33692718078460723/8446491394991467*c_1100_1 - 16870925097300291/8446491394991467, c_1100_1^11 + 2/7*c_1100_1^10 + 372/49*c_1100_1^9 - 38/49*c_1100_1^8 - c_1100_1^7 + 50/7*c_1100_1^6 + 262/49*c_1100_1^5 - 108/49*c_1100_1^4 - 82/49*c_1100_1^3 + 30/49*c_1100_1^2 + 34/49*c_1100_1 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.490 seconds, Total memory usage: 32.09MB