Magma V2.19-8 Wed Aug 21 2013 01:02:08 on localhost [Seed = 307497391] Type ? for help. Type -D to quit. Loading file "L14n13932__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13932 geometric_solution 11.82996800 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 0321 0132 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 1 0 -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 0.188832392409 0.841572591256 0 4 6 5 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 -2 2 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 0.222096513837 0.865183430499 7 0 0 8 0132 0132 0321 0132 1 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 -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 0.188832392409 0.841572591256 9 6 0 10 0132 0213 0132 0132 1 0 0 0 0 -1 0 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 -2 1 1 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 1.358757449317 0.843576019933 7 1 11 5 1023 0132 0132 0321 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 -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 0.538159113836 1.374991321734 12 4 1 10 0132 0321 0132 0321 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 -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 1.542555114148 1.862240429199 9 10 3 1 3120 0321 0213 0132 1 0 0 0 0 0 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 2 -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 0 0 0 0 0.472676496723 0.595133850116 2 4 9 12 0132 1023 0321 0213 0 0 0 0 0 0 -1 1 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493111835303 0.891993893171 10 11 2 11 0321 0213 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0.156078027235 1.370776384813 3 11 7 6 0132 3012 0321 3120 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 -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 0.750341767517 0.768252221305 8 5 3 6 0321 0321 0132 0321 1 0 0 0 0 1 -1 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 -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 0.874073623069 0.568465053404 9 8 8 4 1230 0321 0213 0132 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 -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 0.917999899695 0.720176972006 5 12 12 7 0132 3201 2310 0213 0 0 0 0 0 1 0 -1 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 1 -1 0 0 0 -1 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.166227739104 0.635822254605 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_1001_1'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0101_11' : d['c_0011_6'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_1001_0'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_10'], 'c_1100_4' : d['c_1001_4'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_1001_10'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_1001_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_4'], 'c_1100_10' : d['c_1001_2'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_1001_4'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_12'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_3']), 'c_0011_8' : d['c_0011_6'], 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0110_6' : d['c_0101_1'], '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_0011_3']), 'c_0110_10' : negation(d['c_0011_6']), 'c_0110_12' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), '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_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : negation(d['c_0101_0']), 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['1']})} 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_12, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_1001_0, c_1001_1, c_1001_10, c_1001_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 6465334765044173/36427291078464*c_1001_4^17 - 7581434525208527/3311571916224*c_1001_4^16 - 53037837658589977/4553411384808*c_1001_4^15 - 330710846861828893/12142430359488*c_1001_4^14 - 103001999069320723/6071215179744*c_1001_4^13 + 936645819969673361/18213645539232*c_1001_4^12 + 238069573347355361/2276705692404*c_1001_4^11 + 415665371345691685/18213645539232*c_1001_4^10 - 4344767303826918313/36427291078464*c_1001_4^9 - 2209708592244856723/18213645539232*c_1001_4^8 + 2696586540764687/107773050528*c_1001_4^7 + 516275394869566115/4553411384808*c_1001_4^6 + 693220196080221781/18213645539232*c_1001_4^5 - 1307517056884271287/36427291078464*c_1001_4^4 - 53538534348026791/1655785958112*c_1001_4^3 + 34890662378782019/36427291078464*c_1001_4^2 + 6761897565815567/934033104576*c_1001_4 + 13650741607151497/9106822769616, c_0011_0 - 1, c_0011_10 + 3914723/27547184*c_1001_4^17 + 50401823/27547184*c_1001_4^16 + 63574187/6886796*c_1001_4^15 + 575244395/27547184*c_1001_4^14 + 125472071/13773592*c_1001_4^13 - 12980496/245957*c_1001_4^12 - 24012573/245957*c_1001_4^11 - 103924067/6886796*c_1001_4^10 + 3486777629/27547184*c_1001_4^9 + 1784887375/13773592*c_1001_4^8 - 78932127/3443398*c_1001_4^7 - 850948831/6886796*c_1001_4^6 - 361361299/6886796*c_1001_4^5 + 982840819/27547184*c_1001_4^4 + 76477957/1967656*c_1001_4^3 + 69680661/27547184*c_1001_4^2 - 219822391/27547184*c_1001_4 - 28304215/13773592, c_0011_12 - 5682045/13773592*c_1001_4^17 - 9140713/1721699*c_1001_4^16 - 92694095/3443398*c_1001_4^15 - 860781541/13773592*c_1001_4^14 - 255775071/6886796*c_1001_4^13 + 121510407/983828*c_1001_4^12 + 487546749/1967656*c_1001_4^11 + 767467881/13773592*c_1001_4^10 - 3906863879/13773592*c_1001_4^9 - 2064319653/6886796*c_1001_4^8 + 79561263/1721699*c_1001_4^7 + 3770051203/13773592*c_1001_4^6 + 1505410811/13773592*c_1001_4^5 - 1042917963/13773592*c_1001_4^4 - 41766167/491914*c_1001_4^3 - 60481251/13773592*c_1001_4^2 + 227257223/13773592*c_1001_4 + 82620201/13773592, c_0011_3 - 2323691/13773592*c_1001_4^17 - 60205671/27547184*c_1001_4^16 - 308243413/27547184*c_1001_4^15 - 181997957/6886796*c_1001_4^14 - 464437279/27547184*c_1001_4^13 + 50487575/983828*c_1001_4^12 + 218021435/1967656*c_1001_4^11 + 528562845/13773592*c_1001_4^10 - 1538090359/13773592*c_1001_4^9 - 3854593485/27547184*c_1001_4^8 - 22405653/6886796*c_1001_4^7 + 1504922945/13773592*c_1001_4^6 + 813106113/13773592*c_1001_4^5 - 299958755/13773592*c_1001_4^4 - 141994817/3935312*c_1001_4^3 - 74428493/13773592*c_1001_4^2 + 179576513/27547184*c_1001_4 + 64502815/27547184, c_0011_6 + 1209/3752*c_1001_4^17 + 31215/7504*c_1001_4^16 + 158659/7504*c_1001_4^15 + 183859/3752*c_1001_4^14 + 205845/7504*c_1001_4^13 - 56227/536*c_1001_4^12 - 56137/268*c_1001_4^11 - 193919/3752*c_1001_4^10 + 110889/469*c_1001_4^9 + 1944203/7504*c_1001_4^8 - 96913/3752*c_1001_4^7 - 104407/469*c_1001_4^6 - 363533/3752*c_1001_4^5 + 26638/469*c_1001_4^4 + 69839/1072*c_1001_4^3 + 4455/938*c_1001_4^2 - 89615/7504*c_1001_4 - 26493/7504, c_0101_0 + 11902075/13773592*c_1001_4^17 + 304850081/27547184*c_1001_4^16 + 1532356659/27547184*c_1001_4^15 + 871520311/6886796*c_1001_4^14 + 1797150137/27547184*c_1001_4^13 - 270199797/983828*c_1001_4^12 - 1008851397/1967656*c_1001_4^11 - 961463961/13773592*c_1001_4^10 + 8862342325/13773592*c_1001_4^9 + 16933412171/27547184*c_1001_4^8 - 1156364627/6886796*c_1001_4^7 - 8559968239/13773592*c_1001_4^6 - 2842807405/13773592*c_1001_4^5 + 2825133905/13773592*c_1001_4^4 + 762346519/3935312*c_1001_4^3 - 17203519/13773592*c_1001_4^2 - 1215567327/27547184*c_1001_4 - 384827509/27547184, c_0101_1 + 995993/27547184*c_1001_4^17 + 10819607/27547184*c_1001_4^16 + 9552379/6886796*c_1001_4^15 + 4860699/27547184*c_1001_4^14 - 153963153/13773592*c_1001_4^13 - 55406833/1967656*c_1001_4^12 - 32632303/1967656*c_1001_4^11 + 124363675/3443398*c_1001_4^10 + 1879050357/27547184*c_1001_4^9 + 363125753/13773592*c_1001_4^8 - 644168391/13773592*c_1001_4^7 - 862202825/13773592*c_1001_4^6 - 66932737/6886796*c_1001_4^5 + 728151175/27547184*c_1001_4^4 + 45187883/1967656*c_1001_4^3 + 13652721/27547184*c_1001_4^2 - 163616037/27547184*c_1001_4 - 31332661/13773592, c_0101_10 - 3126721/27547184*c_1001_4^17 - 42482407/27547184*c_1001_4^16 - 14564461/1721699*c_1001_4^15 - 622052215/27547184*c_1001_4^14 - 316972969/13773592*c_1001_4^13 + 49487235/1967656*c_1001_4^12 + 177606653/1967656*c_1001_4^11 + 224074091/3443398*c_1001_4^10 - 1565234353/27547184*c_1001_4^9 - 1667972027/13773592*c_1001_4^8 - 543952355/13773592*c_1001_4^7 + 928027879/13773592*c_1001_4^6 + 400758667/6886796*c_1001_4^5 - 167776755/27547184*c_1001_4^4 - 47138341/1967656*c_1001_4^3 - 136137837/27547184*c_1001_4^2 + 101435713/27547184*c_1001_4 + 10803043/13773592, c_1001_0 - 1, c_1001_1 + 1/16*c_1001_4^17 + 17/16*c_1001_4^16 + 15/2*c_1001_4^15 + 443/16*c_1001_4^14 + 421/8*c_1001_4^13 + 223/8*c_1001_4^12 - 82*c_1001_4^11 - 1317/8*c_1001_4^10 - 1083/16*c_1001_4^9 + 983/8*c_1001_4^8 + 1369/8*c_1001_4^7 + 65/2*c_1001_4^6 - 717/8*c_1001_4^5 - 965/16*c_1001_4^4 - 7/8*c_1001_4^3 + 313/16*c_1001_4^2 + 91/16*c_1001_4 + 1/4, c_1001_10 - 1/4*c_1001_4^17 - 49/16*c_1001_4^16 - 229/16*c_1001_4^15 - 221/8*c_1001_4^14 + 33/16*c_1001_4^13 + 187/2*c_1001_4^12 + 921/8*c_1001_4^11 - 369/8*c_1001_4^10 - 196*c_1001_4^9 - 1701/16*c_1001_4^8 + 106*c_1001_4^7 + 1213/8*c_1001_4^6 + 11/8*c_1001_4^5 - 243/4*c_1001_4^4 - 503/16*c_1001_4^3 + 10*c_1001_4^2 + 115/16*c_1001_4 + 15/16, c_1001_2 + 5/16*c_1001_4^17 + 31/8*c_1001_4^16 + 295/16*c_1001_4^15 + 589/16*c_1001_4^14 + 3/16*c_1001_4^13 - 997/8*c_1001_4^12 - 172*c_1001_4^11 + 291/8*c_1001_4^10 + 4441/16*c_1001_4^9 + 3177/16*c_1001_4^8 - 925/8*c_1001_4^7 - 243*c_1001_4^6 - 415/8*c_1001_4^5 + 1375/16*c_1001_4^4 + 1095/16*c_1001_4^3 - 67/16*c_1001_4^2 - 121/8*c_1001_4 - 67/16, c_1001_4^18 + 12*c_1001_4^17 + 54*c_1001_4^16 + 94*c_1001_4^15 - 45*c_1001_4^14 - 383*c_1001_4^13 - 336*c_1001_4^12 + 412*c_1001_4^11 + 823*c_1001_4^10 + 99*c_1001_4^9 - 793*c_1001_4^8 - 568*c_1001_4^7 + 360*c_1001_4^6 + 445*c_1001_4^5 + 25*c_1001_4^4 - 188*c_1001_4^3 - 52*c_1001_4^2 + 28*c_1001_4 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.510 Total time: 0.720 seconds, Total memory usage: 32.09MB