Magma V2.19-8 Tue Aug 20 2013 16:17:21 on localhost [Seed = 2446331225] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1584 geometric_solution 5.35987192 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.624423286398 0.126860874787 2 0 2 0 0132 2310 1023 0132 0 0 0 0 0 0 -1 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 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 0.837581209843 0.185605779285 1 3 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 1 -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 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 0.956771587311 0.524142806135 5 2 6 4 0132 0132 0132 1230 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 -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 0.993128194226 0.970697440828 3 6 2 5 3012 3201 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 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 0.993128194226 0.970697440828 3 5 5 4 0132 3201 2310 1023 0 0 0 0 0 -1 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.021823513458 0.963621160802 6 6 4 3 1230 3012 2310 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 -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 1.021823513458 0.963621160802 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : d['c_0011_1'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 32 Groebner basis: [ t - 15634637795548127/134721479529794*c_0101_6^15 + 118559796388043849/134721479529794*c_0101_6^14 - 91485682260517392/67360739764897*c_0101_6^13 - 421990836736488793/134721479529794*c_0101_6^12 + 390806017048091764/67360739764897*c_0101_6^11 + 254185606722852411/134721479529794*c_0101_6^10 + 354834354448209151/67360739764897*c_0101_6^9 + 2540110937715131921/134721479529794*c_0101_6^8 + 731741468988963534/67360739764897*c_0101_6^7 + 2128291580998402417/134721479529794*c_0101_6^6 + 752269658884497011/67360739764897*c_0101_6^5 + 10986201612895565/1259079247942*c_0101_6^4 + 183678938352045292/67360739764897*c_0101_6^3 - 31837946633100219/134721479529794*c_0101_6^2 - 232543351642695003/134721479529794*c_0101_6 - 125078111014166665/134721479529794, c_0011_0 - 1, c_0011_1 + 6180241541221/269442959059588*c_0101_6^15 - 46426970425981/269442959059588*c_0101_6^14 + 15631503803308/67360739764897*c_0101_6^13 + 225552523475709/269442959059588*c_0101_6^12 - 103018268157852/67360739764897*c_0101_6^11 - 204616184793101/269442959059588*c_0101_6^10 + 43594282816039/134721479529794*c_0101_6^9 - 1282175252063167/269442959059588*c_0101_6^8 - 36134734613469/134721479529794*c_0101_6^7 + 34597412819331/269442959059588*c_0101_6^6 - 197590969887337/67360739764897*c_0101_6^5 + 4388749590679/2518158495884*c_0101_6^4 - 27119999683177/67360739764897*c_0101_6^3 + 244402091594765/269442959059588*c_0101_6^2 + 73519969995823/269442959059588*c_0101_6 + 71608398622263/269442959059588, c_0011_4 - 13575402701870/67360739764897*c_0011_6*c_0101_6^15 + 197838394650981/134721479529794*c_0011_6*c_0101_6^14 - 126016507567493/67360739764897*c_0011_6*c_0101_6^13 - 431047848423946/67360739764897*c_0011_6*c_0101_6^12 + 1193459124884989/134721479529794*c_0011_6*c_0101_6^11 + 965307302696711/134721479529794*c_0011_6*c_0101_6^10 + 572134728361798/67360739764897*c_0011_6*c_0101_6^9 + 2368272431158863/67360739764897*c_0011_6*c_0101_6^8 + 3593802213710593/134721479529794*c_0011_6*c_0101_6^7 + 3546339037891551/134721479529794*c_0011_6*c_0101_6^6 + 1614314656728159/67360739764897*c_0011_6*c_0101_6^5 + 9199454459531/629539623971*c_0011_6*c_0101_6^4 + 540070453012863/134721479529794*c_0011_6*c_0101_6^3 - 237478046626963/134721479529794*c_0011_6*c_0101_6^2 - 341639509266838/67360739764897*c_0011_6*c_0101_6 - 315915005278741/134721479529794*c_0011_6, c_0011_6^2 + 622024555714417/19669336011349924*c_0101_6^15 - 5197187328236617/19669336011349924*c_0101_6^14 + 2674376895727564/4917334002837481*c_0101_6^13 + 12622338361225961/19669336011349924*c_0101_6^12 - 11098242907306287/4917334002837481*c_0101_6^11 + 2186416753305687/19669336011349924*c_0101_6^10 - 7292701144966219/9834668005674962*c_0101_6^9 - 45214322876962875/19669336011349924*c_0101_6^8 + 13531956185356357/9834668005674962*c_0101_6^7 - 33106861298288673/19669336011349924*c_0101_6^6 + 6290372508937218/4917334002837481*c_0101_6^5 - 48641227369421/183825570199532*c_0101_6^4 + 3671983416637528/4917334002837481*c_0101_6^3 - 15366848857868095/19669336011349924*c_0101_6^2 - 1696105407482797/19669336011349924*c_0101_6 + 622923219259247/19669336011349924, c_0101_0 - 57252080006915/269442959059588*c_0101_6^15 + 460604841964617/269442959059588*c_0101_6^14 - 219961035768674/67360739764897*c_0101_6^13 - 1165725803895819/269442959059588*c_0101_6^12 + 1732271326590193/134721479529794*c_0101_6^11 - 604756009440179/269442959059588*c_0101_6^10 + 1255370236486239/134721479529794*c_0101_6^9 + 8355432034538525/269442959059588*c_0101_6^8 + 406615743299570/67360739764897*c_0101_6^7 + 6556453390370089/269442959059588*c_0101_6^6 + 788204791327223/67360739764897*c_0101_6^5 + 24696797940323/2518158495884*c_0101_6^4 + 116235220151455/134721479529794*c_0101_6^3 + 32746938596931/269442959059588*c_0101_6^2 - 849235096980921/269442959059588*c_0101_6 - 61693652043263/269442959059588, c_0101_1 - 5610886962017/269442959059588*c_0101_6^15 + 43610861055447/269442959059588*c_0101_6^14 - 16486190692284/67360739764897*c_0101_6^13 - 200256374744729/269442959059588*c_0101_6^12 + 209794479116093/134721479529794*c_0101_6^11 + 200582219153607/269442959059588*c_0101_6^10 - 76663497059265/134721479529794*c_0101_6^9 + 851876878776095/269442959059588*c_0101_6^8 - 37872280030769/67360739764897*c_0101_6^7 - 454793038794541/269442959059588*c_0101_6^6 + 41617971140174/67360739764897*c_0101_6^5 - 4480035136727/2518158495884*c_0101_6^4 - 97785889812787/134721479529794*c_0101_6^3 - 147851326011239/269442959059588*c_0101_6^2 - 50349386487547/269442959059588*c_0101_6 + 159098463279447/269442959059588, c_0101_6^16 - 8*c_0101_6^15 + 15*c_0101_6^14 + 21*c_0101_6^13 - 59*c_0101_6^12 + 7*c_0101_6^11 - 47*c_0101_6^10 - 141*c_0101_6^9 - 33*c_0101_6^8 - 115*c_0101_6^7 - 41*c_0101_6^6 - 51*c_0101_6^5 + 5*c_0101_6^4 + 5*c_0101_6^3 + 16*c_0101_6^2 + 2*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB