Magma V2.19-8 Tue Aug 20 2013 23:40:09 on localhost [Seed = 1309158122] Type ? for help. Type -D to quit. Loading file "K14n8124__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n8124 geometric_solution 9.93078676 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.262114422112 0.330388192686 0 5 5 6 0132 0132 0321 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 -1 0 1 0 0 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.556351652090 1.003800006209 7 0 5 8 0132 0132 0132 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 -1 1 0 -5 0 5 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.152827494045 0.699897266064 7 9 6 0 1023 0132 2031 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336415211783 0.444146077462 9 8 0 10 3201 0321 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518466195237 1.002680352551 9 1 1 2 0132 0132 0321 0132 0 0 0 0 0 0 0 0 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 0 0 5 -5 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.556351652090 1.003800006209 10 7 1 3 0132 0213 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.566643941515 0.821473957600 2 3 6 10 0132 1023 0213 1023 0 0 0 0 0 0 0 0 1 0 0 -1 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 5 0 0 -5 6 0 0 -6 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.075812744074 1.804899918169 10 9 2 4 1302 0213 0132 0321 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 0 6 -6 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.036246735605 0.487666569960 5 3 8 4 0132 0132 0213 2310 0 0 0 0 0 0 0 0 0 0 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 6 -6 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832542702242 0.779016988091 6 8 4 7 0132 2031 0132 1023 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 0 0 0 -6 1 5 1 0 0 -1 -1 -5 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528184533638 1.580554589454 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_4'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : d['c_0011_8'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_10' : 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' : d['c_0011_4'], 'c_1100_8' : d['c_1001_1'], 'c_1100_5' : d['c_1001_1'], 'c_1100_4' : negation(d['c_1010_6']), 'c_1100_7' : d['c_1010_6'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_1010_6']), 'c_1100_3' : negation(d['c_1010_6']), 'c_1100_2' : d['c_1001_1'], 'c_1100_10' : negation(d['c_1010_6']), 'c_1010_7' : d['c_0101_0'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_4'], '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_1'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_0'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_8'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_1']), 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_1001_0, c_1001_1, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 65074531046427641646170/58966048054599775103*c_1010_6^13 + 414592105306531652695724/58966048054599775103*c_1010_6^12 - 1187924921803078357225298/58966048054599775103*c_1010_6^11 + 1932624228391685713188107/58966048054599775103*c_1010_6^10 - 1928251109156028572085220/58966048054599775103*c_1010_6^9 + 1496351672544660101477200/58966048054599775103*c_1010_6^8 - 1355517562863034065916285/58966048054599775103*c_1010_6^7 + 643291283603671181173024/58966048054599775103*c_1010_6^6 + 14600503366793851316255/1112566944426410851*c_1010_6^5 - 743385127806372050017132/58966048054599775103*c_1010_6^4 - 52371596456410717301065/8423721150657110729*c_1010_6^3 + 571982382945026681927008/58966048054599775103*c_1010_6^2 - 244280336949739426885718/58966048054599775103*c_1010_6 - 17273244205484377344684/58966048054599775103, c_0011_0 - 1, c_0011_10 + 1486232537845/1048965046747*c_1010_6^13 - 7156782889379/1048965046747*c_1010_6^12 + 15347211714277/1048965046747*c_1010_6^11 - 16845238488235/1048965046747*c_1010_6^10 + 9932497417810/1048965046747*c_1010_6^9 - 9271078264466/1048965046747*c_1010_6^8 + 10706268513735/1048965046747*c_1010_6^7 + 6098026247631/1048965046747*c_1010_6^6 - 13215106854714/1048965046747*c_1010_6^5 - 6820305933991/1048965046747*c_1010_6^4 + 8516892157778/1048965046747*c_1010_6^3 - 883191664012/1048965046747*c_1010_6^2 - 567245038921/1048965046747*c_1010_6 + 503632897473/1048965046747, c_0011_4 - 550421696465/1048965046747*c_1010_6^13 + 2842018630958/1048965046747*c_1010_6^12 - 6431200331083/1048965046747*c_1010_6^11 + 7274777132709/1048965046747*c_1010_6^10 - 3678076841185/1048965046747*c_1010_6^9 + 2207279064636/1048965046747*c_1010_6^8 - 3775738788430/1048965046747*c_1010_6^7 - 1707132370201/1048965046747*c_1010_6^6 + 7005600357825/1048965046747*c_1010_6^5 + 1167329001333/1048965046747*c_1010_6^4 - 5831234708942/1048965046747*c_1010_6^3 + 97776800664/1048965046747*c_1010_6^2 + 1560589045797/1048965046747*c_1010_6 + 126380360326/1048965046747, c_0011_8 + 1457469092515/1048965046747*c_1010_6^13 - 7355190321603/1048965046747*c_1010_6^12 + 17062685248195/1048965046747*c_1010_6^11 - 21807609014964/1048965046747*c_1010_6^10 + 17453111360563/1048965046747*c_1010_6^9 - 15830122121833/1048965046747*c_1010_6^8 + 15882770269943/1048965046747*c_1010_6^7 + 244253494403/1048965046747*c_1010_6^6 - 11503329575684/1048965046747*c_1010_6^5 - 1569762860635/1048965046747*c_1010_6^4 + 6015922982906/1048965046747*c_1010_6^3 - 3741162217622/1048965046747*c_1010_6^2 + 1248641913188/1048965046747*c_1010_6 - 20254610023/1048965046747, c_0101_0 + 951109307385/1048965046747*c_1010_6^13 - 3685768009662/1048965046747*c_1010_6^12 + 5595634107312/1048965046747*c_1010_6^11 - 1500246442651/1048965046747*c_1010_6^10 - 4775556918642/1048965046747*c_1010_6^9 + 2681391388198/1048965046747*c_1010_6^8 - 1748920840956/1048965046747*c_1010_6^7 + 12446689342594/1048965046747*c_1010_6^6 - 7888513552957/1048965046747*c_1010_6^5 - 8678607050216/1048965046747*c_1010_6^4 + 2995293096806/1048965046747*c_1010_6^3 + 1798916376107/1048965046747*c_1010_6^2 - 3144587815404/1048965046747*c_1010_6 - 257511353196/1048965046747, c_0101_1 + 465869218995/1048965046747*c_1010_6^13 - 3102566932869/1048965046747*c_1010_6^12 + 9155659330379/1048965046747*c_1010_6^11 - 15227492264475/1048965046747*c_1010_6^10 + 15219468706415/1048965046747*c_1010_6^9 - 11150110819891/1048965046747*c_1010_6^8 + 9477380196445/1048965046747*c_1010_6^7 - 4153645920835/1048965046747*c_1010_6^6 - 7478897772806/1048965046747*c_1010_6^5 + 7330544992740/1048965046747*c_1010_6^4 + 2800499352305/1048965046747*c_1010_6^3 - 4675316100811/1048965046747*c_1010_6^2 + 1606393601253/1048965046747*c_1010_6 + 1063543216846/1048965046747, c_0101_10 + 28763445330/1048965046747*c_1010_6^13 + 198407432224/1048965046747*c_1010_6^12 - 1715473533918/1048965046747*c_1010_6^11 + 4962370526729/1048965046747*c_1010_6^10 - 7520613942753/1048965046747*c_1010_6^9 + 6559043857367/1048965046747*c_1010_6^8 - 5176501756208/1048965046747*c_1010_6^7 + 5853772753228/1048965046747*c_1010_6^6 - 1711777279030/1048965046747*c_1010_6^5 - 5250543073356/1048965046747*c_1010_6^4 + 2500969174872/1048965046747*c_1010_6^3 + 2857970553610/1048965046747*c_1010_6^2 - 766921905362/1048965046747*c_1010_6 + 523887507496/1048965046747, c_0101_3 - 627807025905/1048965046747*c_1010_6^13 + 3033880347296/1048965046747*c_1010_6^12 - 6899081282728/1048965046747*c_1010_6^11 + 8876567844224/1048965046747*c_1010_6^10 - 7545796454153/1048965046747*c_1010_6^9 + 6907162784957/1048965046747*c_1010_6^8 - 5518913687455/1048965046747*c_1010_6^7 - 1283833447650/1048965046747*c_1010_6^6 + 3782381481489/1048965046747*c_1010_6^5 + 447500439341/1048965046747*c_1010_6^4 - 324142030528/1048965046747*c_1010_6^3 + 2008435451576/1048965046747*c_1010_6^2 - 950113452091/1048965046747*c_1010_6 + 534971586031/1048965046747, c_1001_0 - 679542685025/1048965046747*c_1010_6^13 + 2642935269910/1048965046747*c_1010_6^12 - 4352341196846/1048965046747*c_1010_6^11 + 2456761051723/1048965046747*c_1010_6^10 + 826211973356/1048965046747*c_1010_6^9 + 682270953778/1048965046747*c_1010_6^8 - 940077692346/1048965046747*c_1010_6^7 - 5331527858960/1048965046747*c_1010_6^6 + 1928086994692/1048965046747*c_1010_6^5 + 6293719202623/1048965046747*c_1010_6^4 - 1875933473044/1048965046747*c_1010_6^3 + 510627285359/1048965046747*c_1010_6^2 + 2538544304023/1048965046747*c_1010_6 + 521573868782/1048965046747, c_1001_1 + 849836257270/1048965046747*c_1010_6^13 - 4515344191464/1048965046747*c_1010_6^12 + 11208927966937/1048965046747*c_1010_6^11 - 15848813947764/1048965046747*c_1010_6^10 + 14479971233424/1048965046747*c_1010_6^9 - 12847532020180/1048965046747*c_1010_6^8 + 12258286378807/1048965046747*c_1010_6^7 - 2706914966521/1048965046747*c_1010_6^6 - 6836472005888/1048965046747*c_1010_6^5 + 1913265074433/1048965046747*c_1010_6^4 + 3835889996613/1048965046747*c_1010_6^3 - 3467586035948/1048965046747*c_1010_6^2 + 353519081942/1048965046747*c_1010_6 - 517952049706/1048965046747, c_1010_6^14 - 31/5*c_1010_6^13 + 86/5*c_1010_6^12 - 134/5*c_1010_6^11 + 126/5*c_1010_6^10 - 19*c_1010_6^9 + 18*c_1010_6^8 - 36/5*c_1010_6^7 - 64/5*c_1010_6^6 + 9*c_1010_6^5 + 36/5*c_1010_6^4 - 37/5*c_1010_6^3 + 12/5*c_1010_6^2 + 3/5*c_1010_6 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.490 seconds, Total memory usage: 32.09MB