Magma V2.19-8 Wed Aug 21 2013 00:09:56 on localhost [Seed = 2867643699] Type ? for help. Type -D to quit. Loading file "K13n2526__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2526 geometric_solution 11.95339319 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 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580948623585 0.629512463968 0 5 7 6 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 0 0 0 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.522903123221 0.716715789633 8 0 6 9 0132 0132 0132 0132 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 -1 0 1 -1 0 -7 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537349171887 0.334594642541 7 10 10 0 0132 0132 3201 0132 0 0 0 0 0 0 0 0 1 0 -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 -8 0 8 0 0 0 0 0 7 -8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456645505080 0.939866110952 5 6 0 11 0132 0132 0132 0132 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 1 -1 0 0 7 -7 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479754524553 0.377181451477 4 1 12 10 0132 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 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 0.811190873407 1.319060132245 8 4 1 2 1023 0132 0132 0132 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 -7 7 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.902597152564 1.252116487897 3 11 8 1 0132 2310 1023 0132 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 0 0 0 8 0 -8 0 -7 7 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.314240383732 0.912128983845 2 6 7 9 0132 1023 1023 1023 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 8 -8 1 0 0 -1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342115456126 1.383380904499 11 12 2 8 1230 3120 0132 1023 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 -1 1 0 0 -8 8 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.246860220305 0.801971525153 3 3 12 5 2310 0132 3120 0213 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 -1 0 0 1 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.265721573599 1.079944547890 12 9 4 7 0132 3012 0132 3201 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 1 -1 0 0 7 -7 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.895225309001 0.624351126226 11 9 10 5 0132 3120 3120 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 0.605844092406 0.473302172628 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : negation(d['c_1001_0']), 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : negation(d['c_0101_12']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : negation(d['c_0011_9']), 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : negation(d['c_0101_10']), '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_1100_1']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : negation(d['c_0011_10']), '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_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : d['c_1100_1'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0101_12']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_12']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0101_12']), 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_9']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_11'], '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' : negation(d['c_0101_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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_0'], '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' : d['c_0101_12'], 'c_0110_10' : negation(d['c_0101_1']), 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], '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' : d['c_0011_11'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_11']})} 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_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_8, c_1001_0, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 82/3*c_1100_1^3 + 392/3*c_1100_1^2 + 647/3*c_1100_1 + 247/3, c_0011_0 - 1, c_0011_10 - c_1100_1^3 - 4*c_1100_1^2 - 6*c_1100_1 - 2, c_0011_11 + c_1100_1^3 + 4*c_1100_1^2 + 6*c_1100_1 + 2, c_0011_9 + c_1100_1^3 + 4*c_1100_1^2 + 5*c_1100_1 + 1, c_0101_0 + 1, c_0101_1 + c_1100_1^3 + 4*c_1100_1^2 + 6*c_1100_1 + 1, c_0101_10 - c_1100_1^3 - 5*c_1100_1^2 - 8*c_1100_1 - 3, c_0101_11 + c_1100_1^3 + 4*c_1100_1^2 + 6*c_1100_1 + 2, c_0101_12 - c_1100_1^3 - 5*c_1100_1^2 - 8*c_1100_1 - 2, c_0101_8 - c_1100_1^3 - 4*c_1100_1^2 - 6*c_1100_1 - 1, c_1001_0 - c_1100_1^3 - 5*c_1100_1^2 - 8*c_1100_1 - 2, c_1001_2 + c_1100_1^2 + 3*c_1100_1 + 1, c_1100_1^4 + 5*c_1100_1^3 + 9*c_1100_1^2 + 5*c_1100_1 + 1 ], 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_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_8, c_1001_0, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 13289582763693367/8089010580030016*c_1100_1^11 + 1722880442659141981/121335158700450240*c_1100_1^10 - 3234160820167365367/121335158700450240*c_1100_1^9 - 954228226726726037/17333594100064320*c_1100_1^8 - 512271349784870011/8666797050032160*c_1100_1^7 - 849479825078344403/20222526450075040*c_1100_1^6 + 14488079738088289/577786470002144*c_1100_1^5 - 261647090581017119/60667579350225120*c_1100_1^4 - 1025937429542228017/17333594100064320*c_1100_1^3 - 1384612181101504807/40445052900150080*c_1100_1^2 - 31327714920322511/3466718820012864*c_1100_1 + 104973928322012839/7583447418778140, c_0011_0 - 1, c_0011_10 - 400066407/547739069612*c_1100_1^11 + 9278984203/547739069612*c_1100_1^10 - 25608877577/547739069612*c_1100_1^9 - 24079790763/78248438516*c_1100_1^8 + 36636994241/39124219258*c_1100_1^7 + 790932949511/273869534806*c_1100_1^6 + 135228749907/39124219258*c_1100_1^5 + 725190678741/273869534806*c_1100_1^4 + 37124438461/78248438516*c_1100_1^3 - 56597552003/547739069612*c_1100_1^2 + 197925965023/78248438516*c_1100_1 + 207018233859/136934767403, c_0011_11 + 7946493847/273869534806*c_1100_1^11 - 69266500777/273869534806*c_1100_1^10 + 134507689189/273869534806*c_1100_1^9 + 36771587221/39124219258*c_1100_1^8 + 16231366393/19562109629*c_1100_1^7 + 159791968200/136934767403*c_1100_1^6 - 6040758977/19562109629*c_1100_1^5 + 163928981390/136934767403*c_1100_1^4 + 50671415915/39124219258*c_1100_1^3 + 119425232785/273869534806*c_1100_1^2 + 17156168873/39124219258*c_1100_1 - 13079952940/136934767403, c_0011_9 + 1451250734/136934767403*c_1100_1^11 - 7500582379/136934767403*c_1100_1^10 - 20366486478/136934767403*c_1100_1^9 + 19195845167/19562109629*c_1100_1^8 + 28961825004/19562109629*c_1100_1^7 + 261698977409/136934767403*c_1100_1^6 + 4264142168/19562109629*c_1100_1^5 - 62916254636/136934767403*c_1100_1^4 - 2172947432/19562109629*c_1100_1^3 + 52178579428/136934767403*c_1100_1^2 + 11647548183/19562109629*c_1100_1 - 85067098941/136934767403, c_0101_0 + 1, c_0101_1 + 17719696593/547739069612*c_1100_1^11 - 131608535741/547739069612*c_1100_1^10 + 97727502959/547739069612*c_1100_1^9 + 142700797021/78248438516*c_1100_1^8 + 76922660097/39124219258*c_1100_1^7 + 803452466823/273869534806*c_1100_1^6 + 55051249745/39124219258*c_1100_1^5 + 88853817719/273869534806*c_1100_1^4 + 125455868349/78248438516*c_1100_1^3 + 650649048837/547739069612*c_1100_1^2 + 69680707339/78248438516*c_1100_1 + 125735866457/136934767403, c_0101_10 - 6909800129/136934767403*c_1100_1^11 + 56423417401/136934767403*c_1100_1^10 - 91348313165/136934767403*c_1100_1^9 - 31851780643/19562109629*c_1100_1^8 - 63379387505/19562109629*c_1100_1^7 - 629751134561/136934767403*c_1100_1^6 - 58059192948/19562109629*c_1100_1^5 - 401513226885/136934767403*c_1100_1^4 - 43822913576/19562109629*c_1100_1^3 - 301846799857/136934767403*c_1100_1^2 - 46283130912/19562109629*c_1100_1 - 175072177145/136934767403, c_0101_11 + 400066407/547739069612*c_1100_1^11 - 9278984203/547739069612*c_1100_1^10 + 25608877577/547739069612*c_1100_1^9 + 24079790763/78248438516*c_1100_1^8 - 36636994241/39124219258*c_1100_1^7 - 790932949511/273869534806*c_1100_1^6 - 135228749907/39124219258*c_1100_1^5 - 725190678741/273869534806*c_1100_1^4 - 37124438461/78248438516*c_1100_1^3 + 56597552003/547739069612*c_1100_1^2 - 197925965023/78248438516*c_1100_1 - 207018233859/136934767403, c_0101_12 - 45328819019/547739069612*c_1100_1^11 + 400873740527/547739069612*c_1100_1^10 - 775461459609/547739069612*c_1100_1^9 - 245300262067/78248438516*c_1100_1^8 - 41932589543/39124219258*c_1100_1^7 + 98176794725/273869534806*c_1100_1^6 + 145935520477/39124219258*c_1100_1^5 + 306861435947/273869534806*c_1100_1^4 - 249170407667/78248438516*c_1100_1^3 + 16381663941/547739069612*c_1100_1^2 + 127661171703/78248438516*c_1100_1 + 81963910501/136934767403, c_0101_8 + 4389960742/136934767403*c_1100_1^11 - 43998253746/136934767403*c_1100_1^10 + 127235332024/136934767403*c_1100_1^9 + 2120764039/19562109629*c_1100_1^8 + 4947816848/19562109629*c_1100_1^7 - 22167518215/136934767403*c_1100_1^6 - 22771138093/19562109629*c_1100_1^5 + 79996821183/136934767403*c_1100_1^4 + 16814800088/19562109629*c_1100_1^3 + 16566225731/136934767403*c_1100_1^2 + 7400407917/19562109629*c_1100_1 + 77760263345/136934767403, c_1001_0 - 19997144/19562109629*c_1100_1^11 - 1253767680/19562109629*c_1100_1^10 + 13771605270/19562109629*c_1100_1^9 - 39574382907/19562109629*c_1100_1^8 - 15195016080/19562109629*c_1100_1^7 - 4061039553/19562109629*c_1100_1^6 + 17317611988/19562109629*c_1100_1^5 + 56880750242/19562109629*c_1100_1^4 - 5268057384/19562109629*c_1100_1^3 - 22892203497/19562109629*c_1100_1^2 + 39461722338/19562109629*c_1100_1 + 22720375821/19562109629, c_1001_2 + 2417672569/39124219258*c_1100_1^11 - 22416950947/39124219258*c_1100_1^10 + 53856365521/39124219258*c_1100_1^9 + 44435796493/39124219258*c_1100_1^8 + 25669527198/19562109629*c_1100_1^7 + 39327189633/19562109629*c_1100_1^6 - 3671856814/19562109629*c_1100_1^5 + 41096174512/19562109629*c_1100_1^4 + 47192483061/39124219258*c_1100_1^3 - 16554185759/39124219258*c_1100_1^2 + 49114464005/39124219258*c_1100_1 + 8165631276/19562109629, c_1100_1^12 - 9*c_1100_1^11 + 19*c_1100_1^10 + 31*c_1100_1^9 + 14*c_1100_1^8 + 10*c_1100_1^7 - 10*c_1100_1^6 + 22*c_1100_1^5 + 55*c_1100_1^4 + c_1100_1^3 - 15*c_1100_1^2 + 12*c_1100_1 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.770 Total time: 2.970 seconds, Total memory usage: 84.94MB