Magma V2.19-8 Tue Aug 20 2013 23:49:36 on localhost [Seed = 1982864516] Type ? for help. Type -D to quit. Loading file "K11n76__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n76 geometric_solution 12.31245798 oriented_manifold CS_known -0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 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 -11 1 10 0 0 11 -11 0 0 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.806512814391 0.923568530145 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 1 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 0 0 0 0 11 -1 -10 0 0 0 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533873142114 0.893611384998 8 0 7 4 0132 0132 3012 0213 0 0 0 0 0 1 -1 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 11 -11 0 -1 0 1 0 -11 0 0 11 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.332318337986 0.749266435331 7 9 9 0 2310 0132 0321 0132 0 0 0 0 0 0 0 0 1 0 0 -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 1 0 -1 11 0 0 -11 0 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.254832049864 0.705392589516 10 11 0 2 0132 0132 0132 0213 0 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 10 -10 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.922250537456 0.529725716205 12 1 6 10 0132 0132 2310 0132 0 0 0 0 0 -1 0 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 -11 0 11 0 0 0 0 0 0 0 0 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.145867996523 0.875573320641 11 5 1 9 2031 3201 0132 2310 0 0 0 0 0 -1 1 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 -10 10 0 -10 0 0 10 -11 0 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.453020195059 1.253990966464 11 2 3 1 3120 1230 3201 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 -1 1 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.810959981696 0.991448814875 2 12 12 10 0132 0132 0321 2031 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 -1 0 1 1 0 -1 0 -1 1 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.629122355709 0.825269420768 6 3 3 12 3201 0132 0321 0213 0 0 0 0 0 0 0 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 -1 0 1 -11 0 0 11 0 0 0 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.254832049864 0.705392589516 4 8 5 11 0132 1302 0132 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 -11 11 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 0.211613018793 0.674526914070 10 4 6 7 3120 0132 1302 3120 0 0 0 0 0 -1 1 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 -10 10 0 0 0 0 0 -1 0 0 1 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.102156304009 0.830406942159 5 8 8 9 0132 0132 0321 0213 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 11 0 -11 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.629122355709 0.825269420768 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : d['c_0101_2'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_3'], 'c_1010_12' : d['c_1001_3'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : 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' : negation(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' : d['1'], 's_2_4' : negation(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' : negation(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_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_0101_3'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0101_0'], 'c_1100_10' : d['c_0011_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : d['c_0011_10'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_3'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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_1'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : negation(d['c_0101_10']), 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_5']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} 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_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 3130082/9*c_1001_3^3 - 8541859/3*c_1001_3^2 + 10861858/9*c_1001_3 - 16749689/9, c_0011_0 - 1, c_0011_10 - 1/18*c_1001_3^3 - 1/3*c_1001_3^2 + 4/9*c_1001_3 + 5/18, c_0011_3 - 1/9*c_1001_3^3 - 2/3*c_1001_3^2 + 8/9*c_1001_3 - 4/9, c_0011_6 + c_1001_3, c_0011_7 + c_1001_3, c_0101_0 - 2/9*c_1001_3^3 - 11/6*c_1001_3^2 + 5/18*c_1001_3 - 7/18, c_0101_1 - 2/9*c_1001_3^3 - 11/6*c_1001_3^2 + 23/18*c_1001_3 - 25/18, c_0101_10 + 2/9*c_1001_3^3 + 11/6*c_1001_3^2 - 23/18*c_1001_3 + 25/18, c_0101_2 + 2/9*c_1001_3^3 + 11/6*c_1001_3^2 - 5/18*c_1001_3 + 7/18, c_0101_3 + 1/9*c_1001_3^3 + 7/6*c_1001_3^2 - 7/18*c_1001_3 - 1/18, c_0101_5 - 1/9*c_1001_3^3 - 2/3*c_1001_3^2 + 17/9*c_1001_3 - 4/9, c_1001_0 - 1/18*c_1001_3^3 - 1/3*c_1001_3^2 + 4/9*c_1001_3 + 5/18, c_1001_3^4 + 8*c_1001_3^3 - 5*c_1001_3^2 + 6*c_1001_3 - 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 2982626801146883/8986002176*c_1001_3^7 + 907473369497163/8986002176*c_1001_3^6 + 2682580845283405/17972004352*c_1001_3^5 + 5892616602035225/17972004352*c_1001_3^4 + 990788252956257/2246500544*c_1001_3^3 + 1594423345448143/8986002176*c_1001_3^2 + 4040456143182597/17972004352*c_1001_3 + 463033440368641/8986002176, c_0011_0 - 1, c_0011_10 - 858649/2420798*c_1001_3^7 - 1055521/2420798*c_1001_3^6 - 1415695/4841596*c_1001_3^5 + 681093/4841596*c_1001_3^4 - 1896847/1210399*c_1001_3^3 - 1943685/2420798*c_1001_3^2 - 279187/4841596*c_1001_3 - 328905/2420798, c_0011_3 - 1203158/1210399*c_1001_3^7 - 71490/1210399*c_1001_3^6 - 685573/1210399*c_1001_3^5 - 605307/1210399*c_1001_3^4 - 1510802/1210399*c_1001_3^3 + 670278/1210399*c_1001_3^2 - 111899/1210399*c_1001_3 + 449671/1210399, c_0011_6 + 938872/1210399*c_1001_3^7 + 4255410/1210399*c_1001_3^6 + 106408/1210399*c_1001_3^5 + 4069591/1210399*c_1001_3^4 + 3657768/1210399*c_1001_3^3 + 3943540/1210399*c_1001_3^2 + 2416976/1210399*c_1001_3 + 673480/1210399, c_0011_7 - 5103043/2420798*c_1001_3^7 - 3241735/2420798*c_1001_3^6 - 8488429/4841596*c_1001_3^5 - 16057229/4841596*c_1001_3^4 - 3974688/1210399*c_1001_3^3 - 7786187/2420798*c_1001_3^2 - 11289337/4841596*c_1001_3 - 2490209/2420798, c_0101_0 + 1669899/1210399*c_1001_3^7 - 78987/1210399*c_1001_3^6 - 394643/2420798*c_1001_3^5 + 3003411/2420798*c_1001_3^4 + 1097056/1210399*c_1001_3^3 + 1827642/1210399*c_1001_3^2 + 517067/2420798*c_1001_3 + 14242/1210399, c_0101_1 + 4887465/2420798*c_1001_3^7 - 1070515/2420798*c_1001_3^6 + 537311/4841596*c_1001_3^5 + 9109143/4841596*c_1001_3^4 + 711011/1210399*c_1001_3^3 + 371043/2420798*c_1001_3^2 + 1202543/4841596*c_1001_3 - 1199763/2420798, c_0101_10 + 2873057/1210399*c_1001_3^7 - 7497/1210399*c_1001_3^6 + 976503/2420798*c_1001_3^5 + 4214025/2420798*c_1001_3^4 + 2607858/1210399*c_1001_3^3 + 1157364/1210399*c_1001_3^2 + 740865/2420798*c_1001_3 + 774970/1210399, c_0101_2 + 1026663/1210399*c_1001_3^7 + 49317/1210399*c_1001_3^6 + 2765489/2420798*c_1001_3^5 - 943841/2420798*c_1001_3^4 + 1124402/1210399*c_1001_3^3 + 958193/1210399*c_1001_3^2 + 363247/2420798*c_1001_3 - 371612/1210399, c_0101_3 - 1026663/1210399*c_1001_3^7 - 49317/1210399*c_1001_3^6 - 2765489/2420798*c_1001_3^5 + 943841/2420798*c_1001_3^4 - 1124402/1210399*c_1001_3^3 - 958193/1210399*c_1001_3^2 - 363247/2420798*c_1001_3 + 371612/1210399, c_0101_5 - 3049552/1210399*c_1001_3^7 - 14676/1210399*c_1001_3^6 + 208920/1210399*c_1001_3^5 - 3184240/1210399*c_1001_3^4 - 2994258/1210399*c_1001_3^3 + 471107/1210399*c_1001_3^2 - 300708/1210399*c_1001_3 + 513488/1210399, c_1001_0 + 858649/2420798*c_1001_3^7 + 1055521/2420798*c_1001_3^6 + 1415695/4841596*c_1001_3^5 - 681093/4841596*c_1001_3^4 + 1896847/1210399*c_1001_3^3 + 1943685/2420798*c_1001_3^2 + 5120783/4841596*c_1001_3 + 328905/2420798, c_1001_3^8 + 9/11*c_1001_3^7 + 17/22*c_1001_3^6 + 27/22*c_1001_3^5 + 21/11*c_1001_3^4 + 15/11*c_1001_3^3 + 25/22*c_1001_3^2 + 6/11*c_1001_3 + 2/11 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 20497755527/15120928*c_1001_3^10 + 312320947323/7560464*c_1001_3^9 + 2838646459873/15120928*c_1001_3^8 + 1641521832433/7560464*c_1001_3^7 + 733909686243/1890116*c_1001_3^6 + 4985971124993/15120928*c_1001_3^5 + 6209527011093/15120928*c_1001_3^4 + 114675446891/472529*c_1001_3^3 + 3242706458387/15120928*c_1001_3^2 + 967950952931/15120928*c_1001_3 + 288070960843/7560464, c_0011_0 - 1, c_0011_10 + 8464/6473*c_1001_3^10 + 433797/12946*c_1001_3^9 + 98062/6473*c_1001_3^8 + 545419/12946*c_1001_3^7 + 124945/6473*c_1001_3^6 + 242578/6473*c_1001_3^5 + 74271/12946*c_1001_3^4 + 115453/12946*c_1001_3^3 - 16280/6473*c_1001_3^2 - 5245/12946*c_1001_3 + 8223/12946, c_0011_3 - 14097/12946*c_1001_3^10 - 154088/6473*c_1001_3^9 + 1199173/12946*c_1001_3^8 + 118433/6473*c_1001_3^7 + 945100/6473*c_1001_3^6 + 699659/12946*c_1001_3^5 + 1992963/12946*c_1001_3^4 + 240650/6473*c_1001_3^3 + 891921/12946*c_1001_3^2 + 33317/12946*c_1001_3 + 52378/6473, c_0011_6 - 39839/12946*c_1001_3^10 - 1046793/12946*c_1001_3^9 - 1137803/12946*c_1001_3^8 - 1922315/12946*c_1001_3^7 - 837798/6473*c_1001_3^6 - 2047015/12946*c_1001_3^5 - 637994/6473*c_1001_3^4 - 927071/12946*c_1001_3^3 - 336243/12946*c_1001_3^2 - 50937/6473*c_1001_3 - 35201/12946, c_0011_7 - 27543/12946*c_1001_3^10 - 735235/12946*c_1001_3^9 - 1082895/12946*c_1001_3^8 - 1492131/12946*c_1001_3^7 - 857930/6473*c_1001_3^6 - 1679647/12946*c_1001_3^5 - 706853/6473*c_1001_3^4 - 798709/12946*c_1001_3^3 - 490357/12946*c_1001_3^2 - 43914/6473*c_1001_3 - 60917/12946, c_0101_0 - 11351/12946*c_1001_3^10 - 345065/12946*c_1001_3^9 - 1530215/12946*c_1001_3^8 - 1267621/12946*c_1001_3^7 - 1186743/6473*c_1001_3^6 - 1667569/12946*c_1001_3^5 - 1120502/6473*c_1001_3^4 - 876837/12946*c_1001_3^3 - 868229/12946*c_1001_3^2 - 37698/6473*c_1001_3 - 94141/12946, c_0101_1 - 10979/12946*c_1001_3^10 - 261345/12946*c_1001_3^9 + 388347/12946*c_1001_3^8 - 42197/12946*c_1001_3^7 + 311099/6473*c_1001_3^6 + 118377/12946*c_1001_3^5 + 353164/6473*c_1001_3^4 + 141825/12946*c_1001_3^3 + 323409/12946*c_1001_3^2 + 2319/6473*c_1001_3 + 26893/12946, c_0101_10 + 2510/6473*c_1001_3^10 + 168773/12946*c_1001_3^9 + 546905/6473*c_1001_3^8 + 823463/12946*c_1001_3^7 + 862233/6473*c_1001_3^6 + 574680/6473*c_1001_3^5 + 1662409/12946*c_1001_3^4 + 641141/12946*c_1001_3^3 + 344861/6473*c_1001_3^2 + 66691/12946*c_1001_3 + 90159/12946, c_0101_2 - 10103/6473*c_1001_3^10 - 516567/12946*c_1001_3^9 - 105939/6473*c_1001_3^8 - 874785/12946*c_1001_3^7 - 163714/6473*c_1001_3^6 - 419882/6473*c_1001_3^5 - 149895/12946*c_1001_3^4 - 382619/12946*c_1001_3^3 + 32507/6473*c_1001_3^2 - 57921/12946*c_1001_3 + 25169/12946, c_0101_3 - 12724/6473*c_1001_3^10 - 653241/12946*c_1001_3^9 - 165521/6473*c_1001_3^8 - 1030755/12946*c_1001_3^7 - 241643/6473*c_1001_3^6 - 483955/6473*c_1001_3^5 - 248041/12946*c_1001_3^4 - 395537/12946*c_1001_3^3 + 11846/6473*c_1001_3^2 - 42079/12946*c_1001_3 + 10615/12946, c_0101_5 - 11351/12946*c_1001_3^10 - 345065/12946*c_1001_3^9 - 1530215/12946*c_1001_3^8 - 1267621/12946*c_1001_3^7 - 1186743/6473*c_1001_3^6 - 1667569/12946*c_1001_3^5 - 1120502/6473*c_1001_3^4 - 876837/12946*c_1001_3^3 - 868229/12946*c_1001_3^2 - 37698/6473*c_1001_3 - 94141/12946, c_1001_0 - c_1001_3, c_1001_3^11 + 26*c_1001_3^10 + 22*c_1001_3^9 + 58*c_1001_3^8 + 41*c_1001_3^7 + 67*c_1001_3^6 + 35*c_1001_3^5 + 41*c_1001_3^4 + 12*c_1001_3^3 + 11*c_1001_3^2 + c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.700 Total time: 2.919 seconds, Total memory usage: 64.12MB