Properties

Label 63.4.h.a.25.1
Level $63$
Weight $4$
Character 63.25
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 63.h (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 25.1
Character \(\chi\) \(=\) 63.25
Dual form 63.4.h.a.58.1

$q$-expansion

\(f(q)\) \(=\) \(q-5.09429 q^{2} +(5.00043 + 1.41268i) q^{3} +17.9518 q^{4} +(-3.42023 + 5.92401i) q^{5} +(-25.4737 - 7.19661i) q^{6} +(-0.241570 - 18.5187i) q^{7} -50.6973 q^{8} +(23.0087 + 14.1280i) q^{9} +O(q^{10})\) \(q-5.09429 q^{2} +(5.00043 + 1.41268i) q^{3} +17.9518 q^{4} +(-3.42023 + 5.92401i) q^{5} +(-25.4737 - 7.19661i) q^{6} +(-0.241570 - 18.5187i) q^{7} -50.6973 q^{8} +(23.0087 + 14.1280i) q^{9} +(17.4236 - 30.1786i) q^{10} +(20.5259 + 35.5519i) q^{11} +(89.7667 + 25.3602i) q^{12} +(31.8869 + 55.2298i) q^{13} +(1.23063 + 94.3396i) q^{14} +(-25.4714 + 24.7909i) q^{15} +114.653 q^{16} +(38.0175 - 65.8483i) q^{17} +(-117.213 - 71.9723i) q^{18} +(46.7854 + 81.0346i) q^{19} +(-61.3993 + 106.347i) q^{20} +(24.9530 - 92.9427i) q^{21} +(-104.565 - 181.112i) q^{22} +(-21.0641 + 36.4840i) q^{23} +(-253.509 - 71.6192i) q^{24} +(39.1040 + 67.7302i) q^{25} +(-162.441 - 281.357i) q^{26} +(95.0949 + 103.150i) q^{27} +(-4.33661 - 332.444i) q^{28} +(21.9258 - 37.9765i) q^{29} +(129.759 - 126.292i) q^{30} -200.136 q^{31} -178.495 q^{32} +(52.4149 + 206.771i) q^{33} +(-193.672 + 335.450i) q^{34} +(110.531 + 61.9071i) q^{35} +(413.047 + 253.624i) q^{36} +(-52.1566 - 90.3379i) q^{37} +(-238.338 - 412.814i) q^{38} +(81.4264 + 321.219i) q^{39} +(173.397 - 300.332i) q^{40} +(-108.674 - 188.229i) q^{41} +(-127.118 + 473.477i) q^{42} +(236.154 - 409.031i) q^{43} +(368.476 + 638.220i) q^{44} +(-162.390 + 87.9825i) q^{45} +(107.306 - 185.860i) q^{46} -17.8842 q^{47} +(573.312 + 161.967i) q^{48} +(-342.883 + 8.94711i) q^{49} +(-199.207 - 345.037i) q^{50} +(283.127 - 275.563i) q^{51} +(572.428 + 991.474i) q^{52} +(211.151 - 365.724i) q^{53} +(-484.441 - 525.477i) q^{54} -280.813 q^{55} +(12.2469 + 938.848i) q^{56} +(119.471 + 471.301i) q^{57} +(-111.696 + 193.463i) q^{58} +291.033 q^{59} +(-457.257 + 445.042i) q^{60} -154.029 q^{61} +1019.55 q^{62} +(256.074 - 429.503i) q^{63} -7.91610 q^{64} -436.243 q^{65} +(-267.016 - 1053.35i) q^{66} -838.351 q^{67} +(682.483 - 1182.10i) q^{68} +(-156.870 + 152.679i) q^{69} +(-563.078 - 315.373i) q^{70} -940.646 q^{71} +(-1166.48 - 716.254i) q^{72} +(65.8171 - 113.998i) q^{73} +(265.701 + 460.208i) q^{74} +(99.8560 + 393.922i) q^{75} +(839.881 + 1454.72i) q^{76} +(653.415 - 388.701i) q^{77} +(-414.810 - 1636.38i) q^{78} +620.364 q^{79} +(-392.138 + 679.203i) q^{80} +(329.797 + 650.134i) q^{81} +(553.616 + 958.891i) q^{82} +(102.235 - 177.076i) q^{83} +(447.952 - 1668.49i) q^{84} +(260.057 + 450.433i) q^{85} +(-1203.04 + 2083.72i) q^{86} +(163.287 - 158.925i) q^{87} +(-1040.61 - 1802.38i) q^{88} +(432.859 + 749.734i) q^{89} +(827.260 - 448.208i) q^{90} +(1015.08 - 603.846i) q^{91} +(-378.138 + 654.953i) q^{92} +(-1000.76 - 282.728i) q^{93} +91.1073 q^{94} -640.067 q^{95} +(-892.551 - 252.156i) q^{96} +(331.039 - 573.377i) q^{97} +(1746.75 - 45.5792i) q^{98} +(-30.0049 + 1107.99i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} + O(q^{10}) \) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} - 18q^{10} + 5q^{11} - 62q^{12} - 14q^{13} - 52q^{14} + 119q^{15} + 494q^{16} - 162q^{17} - 188q^{18} + 58q^{19} - 362q^{20} - 59q^{21} - 18q^{22} - 93q^{23} + 30q^{24} - 349q^{25} - 266q^{26} + 272q^{27} - 172q^{28} + 248q^{29} + 85q^{30} - 122q^{31} + 326q^{32} + 77q^{33} + 6q^{34} + 289q^{35} - 806q^{36} - 86q^{37} - 761q^{38} - 256q^{39} - 18q^{40} - 692q^{41} - 364q^{42} - 86q^{43} - 443q^{44} + 527q^{45} - 270q^{46} + 2010q^{47} - 1013q^{48} + 317q^{49} + 239q^{50} + 1209q^{51} - 335q^{52} + 258q^{53} + 577q^{54} - 870q^{55} - 1752q^{56} + 566q^{57} + 237q^{58} + 3330q^{59} + 1669q^{60} - 878q^{61} + 1812q^{62} + 2872q^{63} + 872q^{64} + 1226q^{65} + 1330q^{66} - 590q^{67} - 1374q^{68} + 1389q^{69} + 1251q^{70} + 636q^{71} - 5970q^{72} - 338q^{73} + 1119q^{74} + 2737q^{75} + 1006q^{76} + 2269q^{77} + 157q^{78} - 266q^{79} - 4817q^{80} - 505q^{81} + 6q^{82} - 1356q^{83} - 6013q^{84} + 483q^{85} - 3343q^{86} - 5755q^{87} + 369q^{88} - 2200q^{89} + 2665q^{90} + 1552q^{91} - 396q^{92} - 129q^{93} + 2382q^{94} - 6166q^{95} - 5941q^{96} - 266q^{97} + 3601q^{98} - 5395q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.09429 −1.80110 −0.900552 0.434749i \(-0.856837\pi\)
−0.900552 + 0.434749i \(0.856837\pi\)
\(3\) 5.00043 + 1.41268i 0.962334 + 0.271871i
\(4\) 17.9518 2.24397
\(5\) −3.42023 + 5.92401i −0.305915 + 0.529860i −0.977465 0.211100i \(-0.932296\pi\)
0.671550 + 0.740959i \(0.265629\pi\)
\(6\) −25.4737 7.19661i −1.73326 0.489667i
\(7\) −0.241570 18.5187i −0.0130435 0.999915i
\(8\) −50.6973 −2.24053
\(9\) 23.0087 + 14.1280i 0.852173 + 0.523261i
\(10\) 17.4236 30.1786i 0.550984 0.954333i
\(11\) 20.5259 + 35.5519i 0.562617 + 0.974481i 0.997267 + 0.0738817i \(0.0235387\pi\)
−0.434650 + 0.900599i \(0.643128\pi\)
\(12\) 89.7667 + 25.3602i 2.15945 + 0.610071i
\(13\) 31.8869 + 55.2298i 0.680296 + 1.17831i 0.974891 + 0.222685i \(0.0714820\pi\)
−0.294595 + 0.955622i \(0.595185\pi\)
\(14\) 1.23063 + 94.3396i 0.0234928 + 1.80095i
\(15\) −25.4714 + 24.7909i −0.438445 + 0.426733i
\(16\) 114.653 1.79145
\(17\) 38.0175 65.8483i 0.542389 0.939445i −0.456378 0.889786i \(-0.650853\pi\)
0.998766 0.0496584i \(-0.0158133\pi\)
\(18\) −117.213 71.9723i −1.53485 0.942446i
\(19\) 46.7854 + 81.0346i 0.564911 + 0.978454i 0.997058 + 0.0766508i \(0.0244227\pi\)
−0.432147 + 0.901803i \(0.642244\pi\)
\(20\) −61.3993 + 106.347i −0.686465 + 1.18899i
\(21\) 24.9530 92.9427i 0.259295 0.965798i
\(22\) −104.565 181.112i −1.01333 1.75514i
\(23\) −21.0641 + 36.4840i −0.190963 + 0.330758i −0.945570 0.325419i \(-0.894495\pi\)
0.754606 + 0.656178i \(0.227828\pi\)
\(24\) −253.509 71.6192i −2.15613 0.609133i
\(25\) 39.1040 + 67.7302i 0.312832 + 0.541842i
\(26\) −162.441 281.357i −1.22528 2.12225i
\(27\) 95.0949 + 103.150i 0.677816 + 0.735232i
\(28\) −4.33661 332.444i −0.0292694 2.24378i
\(29\) 21.9258 37.9765i 0.140397 0.243175i −0.787249 0.616635i \(-0.788495\pi\)
0.927646 + 0.373460i \(0.121829\pi\)
\(30\) 129.759 126.292i 0.789686 0.768590i
\(31\) −200.136 −1.15953 −0.579765 0.814784i \(-0.696855\pi\)
−0.579765 + 0.814784i \(0.696855\pi\)
\(32\) −178.495 −0.986054
\(33\) 52.4149 + 206.771i 0.276493 + 1.09074i
\(34\) −193.672 + 335.450i −0.976898 + 1.69204i
\(35\) 110.531 + 61.9071i 0.533805 + 0.298977i
\(36\) 413.047 + 253.624i 1.91225 + 1.17418i
\(37\) −52.1566 90.3379i −0.231743 0.401391i 0.726578 0.687084i \(-0.241110\pi\)
−0.958321 + 0.285693i \(0.907776\pi\)
\(38\) −238.338 412.814i −1.01746 1.76230i
\(39\) 81.4264 + 321.219i 0.334325 + 1.31888i
\(40\) 173.397 300.332i 0.685410 1.18717i
\(41\) −108.674 188.229i −0.413951 0.716984i 0.581367 0.813642i \(-0.302518\pi\)
−0.995318 + 0.0966575i \(0.969185\pi\)
\(42\) −127.118 + 473.477i −0.467018 + 1.73950i
\(43\) 236.154 409.031i 0.837515 1.45062i −0.0544516 0.998516i \(-0.517341\pi\)
0.891966 0.452102i \(-0.149326\pi\)
\(44\) 368.476 + 638.220i 1.26250 + 2.18671i
\(45\) −162.390 + 87.9825i −0.537947 + 0.291459i
\(46\) 107.306 185.860i 0.343945 0.595730i
\(47\) −17.8842 −0.0555038 −0.0277519 0.999615i \(-0.508835\pi\)
−0.0277519 + 0.999615i \(0.508835\pi\)
\(48\) 573.312 + 161.967i 1.72397 + 0.487042i
\(49\) −342.883 + 8.94711i −0.999660 + 0.0260849i
\(50\) −199.207 345.037i −0.563443 0.975913i
\(51\) 283.127 275.563i 0.777366 0.756600i
\(52\) 572.428 + 991.474i 1.52657 + 2.64409i
\(53\) 211.151 365.724i 0.547241 0.947850i −0.451221 0.892412i \(-0.649011\pi\)
0.998462 0.0554374i \(-0.0176553\pi\)
\(54\) −484.441 525.477i −1.22082 1.32423i
\(55\) −280.813 −0.688451
\(56\) 12.2469 + 938.848i 0.0292244 + 2.24034i
\(57\) 119.471 + 471.301i 0.277620 + 1.09518i
\(58\) −111.696 + 193.463i −0.252869 + 0.437983i
\(59\) 291.033 0.642190 0.321095 0.947047i \(-0.395949\pi\)
0.321095 + 0.947047i \(0.395949\pi\)
\(60\) −457.257 + 445.042i −0.983860 + 0.957578i
\(61\) −154.029 −0.323302 −0.161651 0.986848i \(-0.551682\pi\)
−0.161651 + 0.986848i \(0.551682\pi\)
\(62\) 1019.55 2.08843
\(63\) 256.074 429.503i 0.512101 0.858925i
\(64\) −7.91610 −0.0154611
\(65\) −436.243 −0.832450
\(66\) −267.016 1053.35i −0.497992 1.96453i
\(67\) −838.351 −1.52867 −0.764335 0.644820i \(-0.776933\pi\)
−0.764335 + 0.644820i \(0.776933\pi\)
\(68\) 682.483 1182.10i 1.21711 2.10809i
\(69\) −156.870 + 152.679i −0.273694 + 0.266383i
\(70\) −563.078 315.373i −0.961438 0.538489i
\(71\) −940.646 −1.57231 −0.786156 0.618028i \(-0.787932\pi\)
−0.786156 + 0.618028i \(0.787932\pi\)
\(72\) −1166.48 716.254i −1.90932 1.17238i
\(73\) 65.8171 113.998i 0.105525 0.182774i −0.808428 0.588595i \(-0.799681\pi\)
0.913952 + 0.405821i \(0.133014\pi\)
\(74\) 265.701 + 460.208i 0.417393 + 0.722947i
\(75\) 99.8560 + 393.922i 0.153738 + 0.606482i
\(76\) 839.881 + 1454.72i 1.26764 + 2.19563i
\(77\) 653.415 388.701i 0.967060 0.575280i
\(78\) −414.810 1636.38i −0.602153 2.37543i
\(79\) 620.364 0.883499 0.441749 0.897138i \(-0.354358\pi\)
0.441749 + 0.897138i \(0.354358\pi\)
\(80\) −392.138 + 679.203i −0.548030 + 0.949215i
\(81\) 329.797 + 650.134i 0.452397 + 0.891817i
\(82\) 553.616 + 958.891i 0.745569 + 1.29136i
\(83\) 102.235 177.076i 0.135201 0.234176i −0.790473 0.612497i \(-0.790165\pi\)
0.925674 + 0.378321i \(0.123499\pi\)
\(84\) 447.952 1668.49i 0.581852 2.16723i
\(85\) 260.057 + 450.433i 0.331849 + 0.574780i
\(86\) −1203.04 + 2083.72i −1.50845 + 2.61271i
\(87\) 163.287 158.925i 0.201221 0.195845i
\(88\) −1040.61 1802.38i −1.26056 2.18335i
\(89\) 432.859 + 749.734i 0.515539 + 0.892940i 0.999837 + 0.0180370i \(0.00574166\pi\)
−0.484298 + 0.874903i \(0.660925\pi\)
\(90\) 827.260 448.208i 0.968898 0.524948i
\(91\) 1015.08 603.846i 1.16933 0.695607i
\(92\) −378.138 + 654.953i −0.428517 + 0.742213i
\(93\) −1000.76 282.728i −1.11585 0.315242i
\(94\) 91.1073 0.0999680
\(95\) −640.067 −0.691258
\(96\) −892.551 252.156i −0.948913 0.268079i
\(97\) 331.039 573.377i 0.346515 0.600182i −0.639113 0.769113i \(-0.720698\pi\)
0.985628 + 0.168931i \(0.0540316\pi\)
\(98\) 1746.75 45.5792i 1.80049 0.0469815i
\(99\) −30.0049 + 1107.99i −0.0304606 + 1.12482i
\(100\) 701.988 + 1215.88i 0.701988 + 1.21588i
\(101\) 120.190 + 208.176i 0.118410 + 0.205092i 0.919138 0.393937i \(-0.128887\pi\)
−0.800728 + 0.599028i \(0.795554\pi\)
\(102\) −1442.33 + 1403.80i −1.40012 + 1.36271i
\(103\) 203.183 351.923i 0.194371 0.336660i −0.752323 0.658794i \(-0.771067\pi\)
0.946694 + 0.322134i \(0.104400\pi\)
\(104\) −1616.58 2800.00i −1.52422 2.64003i
\(105\) 465.249 + 465.708i 0.432415 + 0.432842i
\(106\) −1075.66 + 1863.10i −0.985638 + 1.70718i
\(107\) −855.526 1481.81i −0.772961 1.33881i −0.935933 0.352177i \(-0.885442\pi\)
0.162972 0.986631i \(-0.447892\pi\)
\(108\) 1707.12 + 1851.73i 1.52100 + 1.64984i
\(109\) 298.924 517.751i 0.262676 0.454968i −0.704276 0.709926i \(-0.748728\pi\)
0.966952 + 0.254958i \(0.0820616\pi\)
\(110\) 1430.54 1.23997
\(111\) −133.187 525.409i −0.113888 0.449276i
\(112\) −27.6966 2123.21i −0.0233668 1.79129i
\(113\) 374.893 + 649.334i 0.312097 + 0.540568i 0.978816 0.204741i \(-0.0656352\pi\)
−0.666719 + 0.745309i \(0.732302\pi\)
\(114\) −608.620 2400.94i −0.500022 1.97254i
\(115\) −144.088 249.567i −0.116837 0.202368i
\(116\) 393.607 681.747i 0.315047 0.545678i
\(117\) −46.6125 + 1721.26i −0.0368319 + 1.36009i
\(118\) −1482.61 −1.15665
\(119\) −1228.61 688.128i −0.946439 0.530089i
\(120\) 1291.33 1256.83i 0.982349 0.956106i
\(121\) −177.124 + 306.787i −0.133076 + 0.230494i
\(122\) 784.669 0.582300
\(123\) −277.509 1094.75i −0.203432 0.802519i
\(124\) −3592.79 −2.60195
\(125\) −1390.04 −0.994630
\(126\) −1304.52 + 2188.01i −0.922346 + 1.54701i
\(127\) −2519.73 −1.76055 −0.880275 0.474463i \(-0.842642\pi\)
−0.880275 + 0.474463i \(0.842642\pi\)
\(128\) 1468.29 1.01390
\(129\) 1758.70 1711.72i 1.20035 1.16828i
\(130\) 2222.35 1.49933
\(131\) 207.562 359.507i 0.138433 0.239773i −0.788471 0.615073i \(-0.789127\pi\)
0.926904 + 0.375299i \(0.122460\pi\)
\(132\) 940.941 + 3711.92i 0.620442 + 2.44758i
\(133\) 1489.35 885.979i 0.971002 0.577625i
\(134\) 4270.80 2.75329
\(135\) −936.310 + 210.546i −0.596924 + 0.134229i
\(136\) −1927.39 + 3338.33i −1.21524 + 2.10485i
\(137\) 577.022 + 999.431i 0.359842 + 0.623264i 0.987934 0.154875i \(-0.0494974\pi\)
−0.628093 + 0.778139i \(0.716164\pi\)
\(138\) 799.140 777.792i 0.492951 0.479783i
\(139\) 644.637 + 1116.54i 0.393362 + 0.681323i 0.992891 0.119030i \(-0.0379785\pi\)
−0.599528 + 0.800354i \(0.704645\pi\)
\(140\) 1984.23 + 1111.34i 1.19784 + 0.670898i
\(141\) −89.4287 25.2647i −0.0534132 0.0150898i
\(142\) 4791.92 2.83190
\(143\) −1309.01 + 2267.28i −0.765492 + 1.32587i
\(144\) 2638.00 + 1619.82i 1.52662 + 0.937393i
\(145\) 149.982 + 259.777i 0.0858990 + 0.148781i
\(146\) −335.291 + 580.741i −0.190061 + 0.329195i
\(147\) −1727.20 439.645i −0.969098 0.246676i
\(148\) −936.305 1621.73i −0.520026 0.900711i
\(149\) −818.608 + 1417.87i −0.450087 + 0.779574i −0.998391 0.0567053i \(-0.981940\pi\)
0.548304 + 0.836279i \(0.315274\pi\)
\(150\) −508.696 2006.75i −0.276899 1.09234i
\(151\) −190.403 329.788i −0.102615 0.177734i 0.810147 0.586227i \(-0.199387\pi\)
−0.912761 + 0.408494i \(0.866054\pi\)
\(152\) −2371.89 4108.24i −1.26570 2.19225i
\(153\) 1805.04 977.968i 0.953783 0.516759i
\(154\) −3328.69 + 1980.15i −1.74177 + 1.03614i
\(155\) 684.510 1185.61i 0.354717 0.614388i
\(156\) 1461.75 + 5766.46i 0.750216 + 2.95953i
\(157\) 1591.68 0.809108 0.404554 0.914514i \(-0.367427\pi\)
0.404554 + 0.914514i \(0.367427\pi\)
\(158\) −3160.31 −1.59127
\(159\) 1572.50 1530.49i 0.784321 0.763369i
\(160\) 610.493 1057.41i 0.301648 0.522470i
\(161\) 680.724 + 381.265i 0.333221 + 0.186633i
\(162\) −1680.08 3311.97i −0.814814 1.60625i
\(163\) −460.445 797.514i −0.221257 0.383228i 0.733933 0.679222i \(-0.237683\pi\)
−0.955190 + 0.295994i \(0.904349\pi\)
\(164\) −1950.89 3379.04i −0.928895 1.60889i
\(165\) −1404.19 396.699i −0.662520 0.187170i
\(166\) −520.813 + 902.075i −0.243512 + 0.421775i
\(167\) −1489.89 2580.57i −0.690367 1.19575i −0.971718 0.236146i \(-0.924116\pi\)
0.281350 0.959605i \(-0.409218\pi\)
\(168\) −1265.05 + 4711.95i −0.580958 + 2.16390i
\(169\) −935.053 + 1619.56i −0.425605 + 0.737169i
\(170\) −1324.81 2294.64i −0.597695 1.03524i
\(171\) −68.3912 + 2525.48i −0.0305848 + 1.12941i
\(172\) 4239.39 7342.83i 1.87936 3.25515i
\(173\) 1706.64 0.750021 0.375010 0.927021i \(-0.377639\pi\)
0.375010 + 0.927021i \(0.377639\pi\)
\(174\) −831.832 + 809.610i −0.362419 + 0.352738i
\(175\) 1244.83 740.517i 0.537715 0.319873i
\(176\) 2353.34 + 4076.11i 1.00790 + 1.74573i
\(177\) 1455.29 + 411.136i 0.618002 + 0.174593i
\(178\) −2205.11 3819.36i −0.928539 1.60828i
\(179\) −1526.74 + 2644.39i −0.637507 + 1.10419i 0.348471 + 0.937320i \(0.386701\pi\)
−0.985978 + 0.166875i \(0.946632\pi\)
\(180\) −2915.18 + 1579.44i −1.20714 + 0.654027i
\(181\) 418.264 0.171764 0.0858821 0.996305i \(-0.472629\pi\)
0.0858821 + 0.996305i \(0.472629\pi\)
\(182\) −5171.11 + 3076.17i −2.10609 + 1.25286i
\(183\) −770.212 217.594i −0.311124 0.0878962i
\(184\) 1067.89 1849.64i 0.427859 0.741073i
\(185\) 713.551 0.283575
\(186\) 5098.18 + 1440.30i 2.00977 + 0.567783i
\(187\) 3121.37 1.22063
\(188\) −321.053 −0.124549
\(189\) 1887.23 1785.95i 0.726328 0.687348i
\(190\) 3260.69 1.24503
\(191\) −2086.06 −0.790272 −0.395136 0.918623i \(-0.629303\pi\)
−0.395136 + 0.918623i \(0.629303\pi\)
\(192\) −39.5839 11.1829i −0.0148788 0.00420343i
\(193\) −1268.95 −0.473268 −0.236634 0.971599i \(-0.576044\pi\)
−0.236634 + 0.971599i \(0.576044\pi\)
\(194\) −1686.41 + 2920.95i −0.624109 + 1.08099i
\(195\) −2181.40 616.272i −0.801095 0.226319i
\(196\) −6155.37 + 160.617i −2.24321 + 0.0585338i
\(197\) −789.856 −0.285660 −0.142830 0.989747i \(-0.545620\pi\)
−0.142830 + 0.989747i \(0.545620\pi\)
\(198\) 152.854 5644.43i 0.0548628 2.02592i
\(199\) 2735.94 4738.78i 0.974600 1.68806i 0.293349 0.956005i \(-0.405230\pi\)
0.681250 0.732051i \(-0.261437\pi\)
\(200\) −1982.47 3433.74i −0.700909 1.21401i
\(201\) −4192.12 1184.32i −1.47109 0.415600i
\(202\) −612.284 1060.51i −0.213268 0.369391i
\(203\) −708.572 396.862i −0.244985 0.137213i
\(204\) 5082.63 4946.86i 1.74439 1.69779i
\(205\) 1486.76 0.506535
\(206\) −1035.07 + 1792.80i −0.350082 + 0.606360i
\(207\) −1000.10 + 541.855i −0.335807 + 0.181940i
\(208\) 3655.92 + 6332.24i 1.21871 + 2.11087i
\(209\) −1920.62 + 3326.62i −0.635656 + 1.10099i
\(210\) −2370.11 2372.45i −0.778825 0.779593i
\(211\) −835.844 1447.72i −0.272710 0.472348i 0.696844 0.717222i \(-0.254587\pi\)
−0.969555 + 0.244874i \(0.921253\pi\)
\(212\) 3790.54 6565.40i 1.22800 2.12695i
\(213\) −4703.64 1328.83i −1.51309 0.427465i
\(214\) 4358.30 + 7548.79i 1.39218 + 2.41133i
\(215\) 1615.40 + 2797.96i 0.512416 + 0.887531i
\(216\) −4821.06 5229.44i −1.51866 1.64731i
\(217\) 48.3467 + 3706.25i 0.0151244 + 1.15943i
\(218\) −1522.80 + 2637.57i −0.473107 + 0.819445i
\(219\) 490.157 477.063i 0.151241 0.147201i
\(220\) −5041.10 −1.54487
\(221\) 4849.05 1.47594
\(222\) 678.493 + 2676.59i 0.205124 + 0.809193i
\(223\) 1354.96 2346.87i 0.406884 0.704743i −0.587655 0.809112i \(-0.699949\pi\)
0.994539 + 0.104368i \(0.0332821\pi\)
\(224\) 43.1190 + 3305.49i 0.0128616 + 0.985970i
\(225\) −57.1626 + 2110.84i −0.0169371 + 0.625435i
\(226\) −1909.81 3307.90i −0.562119 0.973619i
\(227\) 148.473 + 257.163i 0.0434120 + 0.0751918i 0.886915 0.461933i \(-0.152844\pi\)
−0.843503 + 0.537125i \(0.819511\pi\)
\(228\) 2144.72 + 8460.70i 0.622972 + 2.45756i
\(229\) −1510.16 + 2615.67i −0.435781 + 0.754796i −0.997359 0.0726285i \(-0.976861\pi\)
0.561578 + 0.827424i \(0.310195\pi\)
\(230\) 734.025 + 1271.37i 0.210436 + 0.364485i
\(231\) 3816.47 1020.60i 1.08704 0.290696i
\(232\) −1111.58 + 1925.31i −0.314563 + 0.544839i
\(233\) −150.838 261.259i −0.0424108 0.0734577i 0.844041 0.536279i \(-0.180170\pi\)
−0.886452 + 0.462821i \(0.846837\pi\)
\(234\) 237.458 8768.62i 0.0663381 2.44967i
\(235\) 61.1681 105.946i 0.0169794 0.0294092i
\(236\) 5224.56 1.44106
\(237\) 3102.09 + 876.377i 0.850221 + 0.240197i
\(238\) 6258.88 + 3505.52i 1.70464 + 0.954745i
\(239\) −1040.51 1802.22i −0.281611 0.487765i 0.690171 0.723647i \(-0.257535\pi\)
−0.971782 + 0.235882i \(0.924202\pi\)
\(240\) −2920.36 + 2842.34i −0.785451 + 0.764469i
\(241\) 1734.56 + 3004.35i 0.463622 + 0.803016i 0.999138 0.0415084i \(-0.0132163\pi\)
−0.535516 + 0.844525i \(0.679883\pi\)
\(242\) 902.319 1562.86i 0.239683 0.415143i
\(243\) 730.697 + 3716.85i 0.192898 + 0.981219i
\(244\) −2765.10 −0.725481
\(245\) 1119.74 2061.85i 0.291989 0.537659i
\(246\) 1413.71 + 5576.95i 0.366402 + 1.44542i
\(247\) −2983.68 + 5167.89i −0.768613 + 1.33128i
\(248\) 10146.3 2.59796
\(249\) 761.369 741.030i 0.193774 0.188598i
\(250\) 7081.25 1.79143
\(251\) 5185.82 1.30409 0.652044 0.758181i \(-0.273912\pi\)
0.652044 + 0.758181i \(0.273912\pi\)
\(252\) 4596.99 7710.35i 1.14914 1.92741i
\(253\) −1729.43 −0.429757
\(254\) 12836.2 3.17093
\(255\) 664.082 + 2619.74i 0.163084 + 0.643350i
\(256\) −7416.54 −1.81068
\(257\) −86.5398 + 149.891i −0.0210047 + 0.0363812i −0.876337 0.481699i \(-0.840020\pi\)
0.855332 + 0.518080i \(0.173353\pi\)
\(258\) −8959.34 + 8720.00i −2.16195 + 2.10420i
\(259\) −1660.34 + 987.695i −0.398334 + 0.236959i
\(260\) −7831.34 −1.86800
\(261\) 1041.02 564.021i 0.246886 0.133763i
\(262\) −1057.38 + 1831.44i −0.249333 + 0.431857i
\(263\) −1524.27 2640.12i −0.357379 0.618998i 0.630143 0.776479i \(-0.282996\pi\)
−0.987522 + 0.157481i \(0.949663\pi\)
\(264\) −2657.29 10482.8i −0.619489 2.44382i
\(265\) 1444.37 + 2501.72i 0.334818 + 0.579922i
\(266\) −7587.20 + 4513.43i −1.74888 + 1.04036i
\(267\) 1105.35 + 4360.49i 0.253357 + 0.999466i
\(268\) −15049.9 −3.43030
\(269\) 1564.23 2709.33i 0.354547 0.614093i −0.632494 0.774566i \(-0.717969\pi\)
0.987040 + 0.160473i \(0.0513019\pi\)
\(270\) 4769.83 1072.58i 1.07512 0.241760i
\(271\) −2322.28 4022.30i −0.520547 0.901614i −0.999715 0.0238903i \(-0.992395\pi\)
0.479168 0.877723i \(-0.340939\pi\)
\(272\) 4358.81 7549.68i 0.971660 1.68296i
\(273\) 5928.88 1585.51i 1.31440 0.351499i
\(274\) −2939.52 5091.39i −0.648112 1.12256i
\(275\) −1605.29 + 2780.44i −0.352010 + 0.609698i
\(276\) −2816.09 + 2740.86i −0.614162 + 0.597756i
\(277\) 1167.08 + 2021.44i 0.253152 + 0.438472i 0.964392 0.264477i \(-0.0851995\pi\)
−0.711240 + 0.702949i \(0.751866\pi\)
\(278\) −3283.97 5688.00i −0.708486 1.22713i
\(279\) −4604.85 2827.52i −0.988119 0.606736i
\(280\) −5603.63 3138.53i −1.19600 0.669867i
\(281\) 3471.31 6012.48i 0.736943 1.27642i −0.216923 0.976189i \(-0.569602\pi\)
0.953866 0.300233i \(-0.0970646\pi\)
\(282\) 455.576 + 128.705i 0.0962026 + 0.0271784i
\(283\) 3887.47 0.816559 0.408280 0.912857i \(-0.366129\pi\)
0.408280 + 0.912857i \(0.366129\pi\)
\(284\) −16886.3 −3.52823
\(285\) −3200.61 904.211i −0.665221 0.187933i
\(286\) 6668.50 11550.2i 1.37873 2.38803i
\(287\) −3459.49 + 2057.97i −0.711524 + 0.423268i
\(288\) −4106.93 2521.78i −0.840288 0.515963i
\(289\) −434.166 751.997i −0.0883708 0.153063i
\(290\) −764.053 1323.38i −0.154713 0.267971i
\(291\) 2465.34 2399.48i 0.496635 0.483368i
\(292\) 1181.53 2046.48i 0.236795 0.410141i
\(293\) 2927.47 + 5070.52i 0.583701 + 1.01100i 0.995036 + 0.0995159i \(0.0317294\pi\)
−0.411335 + 0.911484i \(0.634937\pi\)
\(294\) 8798.88 + 2239.68i 1.74545 + 0.444289i
\(295\) −995.399 + 1724.08i −0.196456 + 0.340271i
\(296\) 2644.20 + 4579.89i 0.519227 + 0.899327i
\(297\) −1715.28 + 5498.05i −0.335119 + 1.07417i
\(298\) 4170.23 7223.05i 0.810654 1.40409i
\(299\) −2686.67 −0.519646
\(300\) 1792.59 + 7071.60i 0.344985 + 1.36093i
\(301\) −7631.76 4274.45i −1.46142 0.818522i
\(302\) 969.969 + 1680.04i 0.184819 + 0.320117i
\(303\) 306.918 + 1210.76i 0.0581913 + 0.229559i
\(304\) 5364.06 + 9290.83i 1.01201 + 1.75285i
\(305\) 526.815 912.471i 0.0989028 0.171305i
\(306\) −9195.40 + 4982.06i −1.71786 + 0.930736i
\(307\) 366.420 0.0681196 0.0340598 0.999420i \(-0.489156\pi\)
0.0340598 + 0.999420i \(0.489156\pi\)
\(308\) 11730.0 6977.87i 2.17006 1.29091i
\(309\) 1513.16 1472.74i 0.278578 0.271136i
\(310\) −3487.09 + 6039.82i −0.638882 + 1.10658i
\(311\) 9582.94 1.74726 0.873632 0.486588i \(-0.161759\pi\)
0.873632 + 0.486588i \(0.161759\pi\)
\(312\) −4128.10 16284.9i −0.749063 2.95498i
\(313\) −8689.96 −1.56928 −0.784641 0.619950i \(-0.787153\pi\)
−0.784641 + 0.619950i \(0.787153\pi\)
\(314\) −8108.49 −1.45729
\(315\) 1668.55 + 2985.99i 0.298451 + 0.534100i
\(316\) 11136.6 1.98255
\(317\) −5546.72 −0.982759 −0.491380 0.870945i \(-0.663507\pi\)
−0.491380 + 0.870945i \(0.663507\pi\)
\(318\) −8010.75 + 7796.76i −1.41264 + 1.37491i
\(319\) 1800.18 0.315959
\(320\) 27.0749 46.8951i 0.00472979 0.00819224i
\(321\) −2184.67 8618.30i −0.379864 1.49853i
\(322\) −3467.81 1942.28i −0.600166 0.336145i
\(323\) 7114.66 1.22560
\(324\) 5920.45 + 11671.1i 1.01517 + 2.00121i
\(325\) −2493.82 + 4319.42i −0.425637 + 0.737225i
\(326\) 2345.64 + 4062.77i 0.398506 + 0.690233i
\(327\) 2226.16 2166.69i 0.376474 0.366417i
\(328\) 5509.47 + 9542.68i 0.927468 + 1.60642i
\(329\) 4.32028 + 331.192i 0.000723966 + 0.0554991i
\(330\) 7153.33 + 2020.90i 1.19327 + 0.337112i
\(331\) −2346.22 −0.389606 −0.194803 0.980842i \(-0.562407\pi\)
−0.194803 + 0.980842i \(0.562407\pi\)
\(332\) 1835.30 3178.83i 0.303388 0.525484i
\(333\) 76.2429 2815.43i 0.0125468 0.463316i
\(334\) 7589.95 + 13146.2i 1.24342 + 2.15367i
\(335\) 2867.35 4966.40i 0.467643 0.809981i
\(336\) 2860.93 10656.1i 0.464513 1.73018i
\(337\) −2875.53 4980.56i −0.464807 0.805070i 0.534386 0.845241i \(-0.320543\pi\)
−0.999193 + 0.0401712i \(0.987210\pi\)
\(338\) 4763.43 8250.51i 0.766558 1.32772i
\(339\) 957.326 + 3776.55i 0.153377 + 0.605057i
\(340\) 4668.50 + 8086.08i 0.744661 + 1.28979i
\(341\) −4107.96 7115.19i −0.652371 1.12994i
\(342\) 348.405 12865.6i 0.0550864 2.03418i
\(343\) 248.519 + 6347.59i 0.0391218 + 0.999234i
\(344\) −11972.4 + 20736.8i −1.87647 + 3.25015i
\(345\) −367.942 1451.50i −0.0574184 0.226510i
\(346\) −8694.13 −1.35086
\(347\) −1706.97 −0.264078 −0.132039 0.991245i \(-0.542152\pi\)
−0.132039 + 0.991245i \(0.542152\pi\)
\(348\) 2931.30 2852.99i 0.451534 0.439472i
\(349\) 1098.11 1901.98i 0.168425 0.291720i −0.769441 0.638717i \(-0.779465\pi\)
0.937866 + 0.346997i \(0.112799\pi\)
\(350\) −6341.51 + 3772.41i −0.968480 + 0.576125i
\(351\) −2664.68 + 8541.21i −0.405214 + 1.29885i
\(352\) −3663.76 6345.82i −0.554771 0.960891i
\(353\) 5323.30 + 9220.23i 0.802637 + 1.39021i 0.917875 + 0.396870i \(0.129904\pi\)
−0.115238 + 0.993338i \(0.536763\pi\)
\(354\) −7413.67 2094.45i −1.11308 0.314460i
\(355\) 3217.23 5572.40i 0.480993 0.833105i
\(356\) 7770.60 + 13459.1i 1.15686 + 2.00373i
\(357\) −5171.47 5176.57i −0.766675 0.767431i
\(358\) 7777.65 13471.3i 1.14822 1.98877i
\(359\) −1648.66 2855.56i −0.242375 0.419806i 0.719015 0.694994i \(-0.244593\pi\)
−0.961390 + 0.275188i \(0.911260\pi\)
\(360\) 8232.72 4460.48i 1.20528 0.653022i
\(361\) −948.242 + 1642.40i −0.138248 + 0.239452i
\(362\) −2130.76 −0.309365
\(363\) −1319.09 + 1283.85i −0.190728 + 0.185633i
\(364\) 18222.5 10840.1i 2.62395 1.56092i
\(365\) 450.219 + 779.802i 0.0645631 + 0.111827i
\(366\) 3923.69 + 1108.49i 0.560367 + 0.158310i
\(367\) −842.370 1459.03i −0.119813 0.207522i 0.799880 0.600159i \(-0.204896\pi\)
−0.919693 + 0.392637i \(0.871563\pi\)
\(368\) −2415.05 + 4182.99i −0.342101 + 0.592536i
\(369\) 158.860 5866.23i 0.0224117 0.827599i
\(370\) −3635.03 −0.510747
\(371\) −6823.73 3821.89i −0.954907 0.534831i
\(372\) −17965.5 5075.47i −2.50395 0.707395i
\(373\) −2420.49 + 4192.41i −0.336000 + 0.581969i −0.983676 0.179946i \(-0.942408\pi\)
0.647676 + 0.761916i \(0.275741\pi\)
\(374\) −15901.2 −2.19848
\(375\) −6950.79 1963.68i −0.957166 0.270411i
\(376\) 906.681 0.124358
\(377\) 2796.58 0.382046
\(378\) −9614.12 + 9098.15i −1.30819 + 1.23798i
\(379\) −4006.74 −0.543040 −0.271520 0.962433i \(-0.587526\pi\)
−0.271520 + 0.962433i \(0.587526\pi\)
\(380\) −11490.4 −1.55116
\(381\) −12599.7 3559.58i −1.69424 0.478642i
\(382\) 10627.0 1.42336
\(383\) 1330.57 2304.61i 0.177516 0.307467i −0.763513 0.645793i \(-0.776527\pi\)
0.941029 + 0.338325i \(0.109860\pi\)
\(384\) 7342.06 + 2074.22i 0.975711 + 0.275650i
\(385\) 67.8359 + 5200.29i 0.00897984 + 0.688393i
\(386\) 6464.38 0.852405
\(387\) 11212.4 6074.86i 1.47276 0.797939i
\(388\) 5942.75 10293.1i 0.777571 1.34679i
\(389\) −3412.56 5910.73i −0.444791 0.770401i 0.553247 0.833018i \(-0.313389\pi\)
−0.998038 + 0.0626168i \(0.980055\pi\)
\(390\) 11112.7 + 3139.47i 1.44285 + 0.407623i
\(391\) 1601.61 + 2774.06i 0.207153 + 0.358799i
\(392\) 17383.3 453.595i 2.23976 0.0584438i
\(393\) 1545.77 1504.47i 0.198406 0.193106i
\(394\) 4023.76 0.514502
\(395\) −2121.79 + 3675.05i −0.270275 + 0.468131i
\(396\) −538.641 + 19890.4i −0.0683529 + 2.52407i
\(397\) −1988.98 3445.01i −0.251446 0.435516i 0.712478 0.701694i \(-0.247573\pi\)
−0.963924 + 0.266178i \(0.914239\pi\)
\(398\) −13937.6 + 24140.7i −1.75535 + 3.04036i
\(399\) 8699.02 2326.30i 1.09147 0.291881i
\(400\) 4483.38 + 7765.44i 0.560422 + 0.970680i
\(401\) 3992.33 6914.91i 0.497175 0.861133i −0.502819 0.864391i \(-0.667704\pi\)
0.999995 + 0.00325874i \(0.00103729\pi\)
\(402\) 21355.9 + 6033.28i 2.64959 + 0.748539i
\(403\) −6381.71 11053.4i −0.788823 1.36628i
\(404\) 2157.63 + 3737.13i 0.265708 + 0.460220i
\(405\) −4979.39 269.886i −0.610933 0.0331129i
\(406\) 3609.67 + 2021.73i 0.441244 + 0.247135i
\(407\) 2141.12 3708.53i 0.260765 0.451659i
\(408\) −14353.8 + 13970.3i −1.74171 + 1.69518i
\(409\) 3070.90 0.371262 0.185631 0.982620i \(-0.440567\pi\)
0.185631 + 0.982620i \(0.440567\pi\)
\(410\) −7573.97 −0.912322
\(411\) 1473.48 + 5812.74i 0.176841 + 0.697618i
\(412\) 3647.50 6317.65i 0.436163 0.755457i
\(413\) −70.3047 5389.54i −0.00837644 0.642136i
\(414\) 5094.82 2760.37i 0.604822 0.327692i
\(415\) 699.333 + 1211.28i 0.0827202 + 0.143276i
\(416\) −5691.65 9858.23i −0.670808 1.16187i
\(417\) 1646.14 + 6493.87i 0.193314 + 0.762604i
\(418\) 9784.21 16946.7i 1.14488 1.98300i
\(419\) −1945.50 3369.70i −0.226835 0.392889i 0.730034 0.683411i \(-0.239504\pi\)
−0.956868 + 0.290522i \(0.906171\pi\)
\(420\) 8352.05 + 8360.29i 0.970329 + 0.971286i
\(421\) −2847.38 + 4931.81i −0.329627 + 0.570930i −0.982438 0.186591i \(-0.940256\pi\)
0.652811 + 0.757521i \(0.273590\pi\)
\(422\) 4258.03 + 7375.13i 0.491180 + 0.850748i
\(423\) −411.491 252.668i −0.0472988 0.0290429i
\(424\) −10704.8 + 18541.2i −1.22611 + 2.12368i
\(425\) 5946.56 0.678707
\(426\) 23961.7 + 6769.46i 2.72523 + 0.769909i
\(427\) 37.2088 + 2852.42i 0.00421700 + 0.323274i
\(428\) −15358.2 26601.2i −1.73450 3.00425i
\(429\) −9748.59 + 9488.16i −1.09712 + 1.06782i
\(430\) −8229.33 14253.6i −0.922915 1.59854i
\(431\) −4029.23 + 6978.82i −0.450304 + 0.779949i −0.998405 0.0564630i \(-0.982018\pi\)
0.548101 + 0.836412i \(0.315351\pi\)
\(432\) 10902.9 + 11826.4i 1.21427 + 1.31713i
\(433\) 504.156 0.0559542 0.0279771 0.999609i \(-0.491093\pi\)
0.0279771 + 0.999609i \(0.491093\pi\)
\(434\) −246.292 18880.7i −0.0272406 2.08825i
\(435\) 382.995 + 1510.87i 0.0422142 + 0.166531i
\(436\) 5366.21 9294.56i 0.589438 1.02094i
\(437\) −3941.96 −0.431509
\(438\) −2497.00 + 2430.30i −0.272401 + 0.265124i
\(439\) −7426.91 −0.807442 −0.403721 0.914882i \(-0.632283\pi\)
−0.403721 + 0.914882i \(0.632283\pi\)
\(440\) 14236.5 1.54249
\(441\) −8015.69 4638.41i −0.865532 0.500854i
\(442\) −24702.5 −2.65832
\(443\) −15301.9 −1.64112 −0.820559 0.571562i \(-0.806338\pi\)
−0.820559 + 0.571562i \(0.806338\pi\)
\(444\) −2390.95 9432.04i −0.255561 1.00816i
\(445\) −5921.91 −0.630844
\(446\) −6902.58 + 11955.6i −0.732840 + 1.26932i
\(447\) −6096.39 + 5933.54i −0.645077 + 0.627845i
\(448\) 1.91229 + 146.596i 0.000201668 + 0.0154598i
\(449\) 8469.43 0.890194 0.445097 0.895482i \(-0.353169\pi\)
0.445097 + 0.895482i \(0.353169\pi\)
\(450\) 291.203 10753.3i 0.0305054 1.12647i
\(451\) 4461.25 7727.11i 0.465792 0.806775i
\(452\) 6730.00 + 11656.7i 0.700338 + 1.21302i
\(453\) −486.213 1918.06i −0.0504289 0.198937i
\(454\) −756.367 1310.07i −0.0781895 0.135428i
\(455\) 105.383 + 8078.64i 0.0108581 + 0.832379i
\(456\) −6056.86 23893.7i −0.622014 2.45378i
\(457\) 14922.8 1.52749 0.763743 0.645520i \(-0.223359\pi\)
0.763743 + 0.645520i \(0.223359\pi\)
\(458\) 7693.17 13325.0i 0.784887 1.35946i
\(459\) 10407.5 2340.32i 1.05835 0.237989i
\(460\) −2586.64 4480.18i −0.262179 0.454108i
\(461\) 6078.32 10528.0i 0.614091 1.06364i −0.376453 0.926436i \(-0.622856\pi\)
0.990543 0.137200i \(-0.0438104\pi\)
\(462\) −19442.2 + 5199.25i −1.95786 + 0.523574i
\(463\) 7641.92 + 13236.2i 0.767063 + 1.32859i 0.939149 + 0.343510i \(0.111616\pi\)
−0.172086 + 0.985082i \(0.555051\pi\)
\(464\) 2513.84 4354.11i 0.251514 0.435634i
\(465\) 5097.73 4961.55i 0.508390 0.494809i
\(466\) 768.412 + 1330.93i 0.0763863 + 0.132305i
\(467\) 9121.63 + 15799.1i 0.903852 + 1.56552i 0.822451 + 0.568836i \(0.192606\pi\)
0.0814004 + 0.996681i \(0.474061\pi\)
\(468\) −836.779 + 30899.8i −0.0826498 + 3.05201i
\(469\) 202.520 + 15525.2i 0.0199393 + 1.52854i
\(470\) −311.608 + 539.721i −0.0305817 + 0.0529691i
\(471\) 7959.10 + 2248.54i 0.778632 + 0.219973i
\(472\) −14754.6 −1.43884
\(473\) 19389.1 1.88480
\(474\) −15802.9 4464.52i −1.53134 0.432620i
\(475\) −3658.99 + 6337.56i −0.353445 + 0.612184i
\(476\) −22055.7 12353.1i −2.12379 1.18951i
\(477\) 10025.3 5431.67i 0.962316 0.521382i
\(478\) 5300.67 + 9181.02i 0.507211 + 0.878515i
\(479\) 1516.21 + 2626.15i 0.144629 + 0.250505i 0.929235 0.369491i \(-0.120468\pi\)
−0.784605 + 0.619995i \(0.787134\pi\)
\(480\) 4546.51 4425.05i 0.432331 0.420782i
\(481\) 3326.23 5761.20i 0.315308 0.546129i
\(482\) −8836.35 15305.0i −0.835031 1.44632i
\(483\) 2865.31 + 2868.14i 0.269930 + 0.270196i
\(484\) −3179.69 + 5507.38i −0.298618 + 0.517222i
\(485\) 2264.46 + 3922.16i 0.212008 + 0.367209i
\(486\) −3722.38 18934.7i −0.347429 1.76728i
\(487\) 2783.79 4821.67i 0.259026 0.448646i −0.706955 0.707258i \(-0.749932\pi\)
0.965981 + 0.258612i \(0.0832652\pi\)
\(488\) 7808.86 0.724366
\(489\) −1175.79 4638.38i −0.108734 0.428946i
\(490\) −5704.27 + 10503.6i −0.525903 + 0.968380i
\(491\) 2266.08 + 3924.96i 0.208283 + 0.360756i 0.951174 0.308656i \(-0.0998793\pi\)
−0.742891 + 0.669412i \(0.766546\pi\)
\(492\) −4981.79 19652.6i −0.456497 1.80083i
\(493\) −1667.13 2887.55i −0.152299 0.263790i
\(494\) 15199.8 26326.7i 1.38435 2.39777i
\(495\) −6461.13 3967.34i −0.586679 0.360239i
\(496\) −22946.1 −2.07723
\(497\) 227.232 + 17419.5i 0.0205085 + 1.57218i
\(498\) −3878.64 + 3775.02i −0.349008 + 0.339684i
\(499\) 10318.7 17872.5i 0.925707 1.60337i 0.135287 0.990806i \(-0.456804\pi\)
0.790420 0.612566i \(-0.209862\pi\)
\(500\) −24953.7 −2.23192
\(501\) −3804.59 15008.7i −0.339274 1.33840i
\(502\) −26418.1 −2.34880
\(503\) −8789.60 −0.779143 −0.389572 0.920996i \(-0.627377\pi\)
−0.389572 + 0.920996i \(0.627377\pi\)
\(504\) −12982.3 + 21774.7i −1.14738 + 1.92445i
\(505\) −1644.31 −0.144893
\(506\) 8810.23 0.774037
\(507\) −6963.59 + 6777.57i −0.609988 + 0.593693i
\(508\) −45233.7 −3.95063
\(509\) 2909.23 5038.93i 0.253338 0.438795i −0.711104 0.703086i \(-0.751805\pi\)
0.964443 + 0.264291i \(0.0851381\pi\)
\(510\) −3383.03 13345.7i −0.293731 1.15874i
\(511\) −2127.00 1191.31i −0.184135 0.103132i
\(512\) 26035.7 2.24732
\(513\) −3909.69 + 12531.9i −0.336485 + 1.07855i
\(514\) 440.859 763.590i 0.0378316 0.0655263i
\(515\) 1389.86 + 2407.32i 0.118922 + 0.205979i
\(516\) 31571.9 30728.4i 2.69355 2.62160i
\(517\) −367.089 635.816i −0.0312274 0.0540874i
\(518\) 8458.25 5031.60i 0.717441 0.426788i
\(519\) 8533.95 + 2410.94i 0.721770 + 0.203909i
\(520\) 22116.3 1.86513
\(521\) −11685.2 + 20239.4i −0.982609 + 1.70193i −0.330493 + 0.943808i \(0.607215\pi\)
−0.652115 + 0.758120i \(0.726118\pi\)
\(522\) −5303.24 + 2873.29i −0.444668 + 0.240920i
\(523\) 2340.45 + 4053.77i 0.195680 + 0.338927i 0.947123 0.320870i \(-0.103975\pi\)
−0.751443 + 0.659798i \(0.770642\pi\)
\(524\) 3726.11 6453.80i 0.310641 0.538045i
\(525\) 7270.79 1944.36i 0.604425 0.161636i
\(526\) 7765.08 + 13449.5i 0.643676 + 1.11488i
\(527\) −7608.66 + 13178.6i −0.628915 + 1.08931i
\(528\) 6009.50 + 23706.9i 0.495322 + 1.95399i
\(529\) 5196.11 + 8999.93i 0.427066 + 0.739700i
\(530\) −7358.03 12744.5i −0.603043 1.04450i
\(531\) 6696.27 + 4111.72i 0.547257 + 0.336033i
\(532\) 26736.6 15904.9i 2.17890 1.29618i
\(533\) 6930.55 12004.1i 0.563218 0.975523i
\(534\) −5630.97 22213.6i −0.456322 1.80014i
\(535\) 11704.4 0.945841
\(536\) 42502.2 3.42503
\(537\) −11370.0 + 11066.3i −0.913692 + 0.889284i
\(538\) −7968.66 + 13802.1i −0.638575 + 1.10604i
\(539\) −7356.07 12006.5i −0.587845 0.959474i
\(540\) −16808.4 + 3779.68i −1.33948 + 0.301206i
\(541\) 347.398 + 601.711i 0.0276078 + 0.0478181i 0.879499 0.475900i \(-0.157878\pi\)
−0.851891 + 0.523718i \(0.824544\pi\)
\(542\) 11830.3 + 20490.8i 0.937559 + 1.62390i
\(543\) 2091.50 + 590.874i 0.165295 + 0.0466977i
\(544\) −6785.93 + 11753.6i −0.534824 + 0.926343i
\(545\) 2044.78 + 3541.65i 0.160713 + 0.278363i
\(546\) −30203.4 + 8077.03i −2.36738 + 0.633086i
\(547\) −1795.35 + 3109.64i −0.140336 + 0.243069i −0.927623 0.373518i \(-0.878152\pi\)
0.787287 + 0.616586i \(0.211485\pi\)
\(548\) 10358.6 + 17941.6i 0.807475 + 1.39859i
\(549\) −3544.00 2176.13i −0.275509 0.169171i
\(550\) 8177.81 14164.4i 0.634006 1.09813i
\(551\) 4103.22 0.317247
\(552\) 7952.87 7740.42i 0.613219 0.596837i
\(553\) −149.861 11488.3i −0.0115240 0.883424i
\(554\) −5945.44 10297.8i −0.455952 0.789733i
\(555\) 3568.06 + 1008.02i 0.272893 + 0.0770956i
\(556\) 11572.4 + 20044.0i 0.882695 + 1.52887i
\(557\) −7640.68 + 13234.1i −0.581232 + 1.00672i 0.414102 + 0.910231i \(0.364096\pi\)
−0.995334 + 0.0964925i \(0.969238\pi\)
\(558\) 23458.5 + 14404.2i 1.77971 + 1.09279i
\(559\) 30120.9 2.27903
\(560\) 12672.7 + 7097.81i 0.956283 + 0.535602i
\(561\) 15608.2 + 4409.50i 1.17465 + 0.331853i
\(562\) −17683.9 + 30629.3i −1.32731 + 2.29897i
\(563\) −20682.9 −1.54828 −0.774138 0.633016i \(-0.781817\pi\)
−0.774138 + 0.633016i \(0.781817\pi\)
\(564\) −1605.41 453.546i −0.119858 0.0338612i
\(565\) −5128.88 −0.381900
\(566\) −19803.9 −1.47071
\(567\) 11960.0 6264.47i 0.885840 0.463991i
\(568\) 47688.2 3.52281
\(569\) −10608.9 −0.781635 −0.390817 0.920468i \(-0.627808\pi\)
−0.390817 + 0.920468i \(0.627808\pi\)
\(570\) 16304.9 + 4606.31i 1.19813 + 0.338486i
\(571\) 11148.1 0.817045 0.408523 0.912748i \(-0.366044\pi\)
0.408523 + 0.912748i \(0.366044\pi\)
\(572\) −23499.2 + 40701.8i −1.71774 + 2.97522i
\(573\) −10431.2 2946.94i −0.760506 0.214852i
\(574\) 17623.7 10483.9i 1.28153 0.762349i
\(575\) −3294.76 −0.238958
\(576\) −182.139 111.839i −0.0131756 0.00809020i
\(577\) −5630.45 + 9752.22i −0.406237 + 0.703623i −0.994465 0.105073i \(-0.966492\pi\)
0.588228 + 0.808695i \(0.299826\pi\)
\(578\) 2211.77 + 3830.89i 0.159165 + 0.275682i
\(579\) −6345.28 1792.62i −0.455442 0.128668i
\(580\) 2692.45 + 4663.46i 0.192755 + 0.333862i
\(581\) −3303.91 1850.48i −0.235919 0.132135i
\(582\) −12559.2 + 12223.7i −0.894491 + 0.870596i
\(583\) 17336.2 1.23155
\(584\) −3336.75 + 5779.42i −0.236431 + 0.409510i
\(585\) −10037.4 6163.25i −0.709391 0.435588i
\(586\) −14913.4 25830.7i −1.05131 1.82092i
\(587\) −2580.61 + 4469.74i −0.181453 + 0.314286i −0.942376 0.334557i \(-0.891413\pi\)
0.760922 + 0.648843i \(0.224747\pi\)
\(588\) −31006.4 7892.42i −2.17463 0.553534i
\(589\) −9363.42 16217.9i −0.655030 1.13455i
\(590\) 5070.85 8782.97i 0.353837 0.612863i
\(591\) −3949.62 1115.81i −0.274900 0.0776624i
\(592\) −5979.89 10357.5i −0.415155 0.719070i
\(593\) −8750.90 15157.0i −0.605998 1.04962i −0.991893 0.127076i \(-0.959441\pi\)
0.385895 0.922543i \(-0.373893\pi\)
\(594\) 8738.11 28008.7i 0.603584 1.93470i
\(595\) 8278.60 4924.73i 0.570402 0.339318i
\(596\) −14695.5 + 25453.3i −1.00998 + 1.74934i
\(597\) 20375.2 19830.9i 1.39682 1.35951i
\(598\) 13686.7 0.935937
\(599\) −16803.2 −1.14618 −0.573089 0.819493i \(-0.694255\pi\)
−0.573089 + 0.819493i \(0.694255\pi\)
\(600\) −5062.43 19970.8i −0.344455 1.35884i
\(601\) −6448.81 + 11169.7i −0.437692 + 0.758104i −0.997511 0.0705106i \(-0.977537\pi\)
0.559819 + 0.828615i \(0.310870\pi\)
\(602\) 38878.4 + 21775.3i 2.63217 + 1.47424i
\(603\) −19289.3 11844.3i −1.30269 0.799892i
\(604\) −3418.08 5920.29i −0.230264 0.398829i
\(605\) −1211.61 2098.57i −0.0814196 0.141023i
\(606\) −1563.53 6167.96i −0.104808 0.413459i
\(607\) −8904.81 + 15423.6i −0.595445 + 1.03134i 0.398039 + 0.917368i \(0.369691\pi\)
−0.993484 + 0.113972i \(0.963643\pi\)
\(608\) −8350.95 14464.3i −0.557032 0.964808i
\(609\) −2982.53 2985.47i −0.198453 0.198649i
\(610\) −2683.75 + 4648.39i −0.178134 + 0.308537i
\(611\) −570.272 987.740i −0.0377590 0.0654005i
\(612\) 32403.7 17556.3i 2.14026 1.15959i
\(613\) 1507.76 2611.52i 0.0993439 0.172069i −0.812069 0.583561i \(-0.801659\pi\)
0.911413 + 0.411492i \(0.134992\pi\)
\(614\) −1866.65 −0.122690
\(615\) 7434.43 + 2100.31i 0.487456 + 0.137712i
\(616\) −33126.4 + 19706.1i −2.16672 + 1.28893i
\(617\) −9570.31 16576.3i −0.624451 1.08158i −0.988647 0.150258i \(-0.951989\pi\)
0.364196 0.931322i \(-0.381344\pi\)
\(618\) −7708.46 + 7502.54i −0.501747 + 0.488344i
\(619\) −8802.90 15247.1i −0.571597 0.990035i −0.996402 0.0847501i \(-0.972991\pi\)
0.424805 0.905285i \(-0.360343\pi\)
\(620\) 12288.2 21283.7i 0.795976 1.37867i
\(621\) −5766.42 + 1296.68i −0.372622 + 0.0837907i
\(622\) −48818.3 −3.14700
\(623\) 13779.5 8197.10i 0.886140 0.527142i
\(624\) 9335.75 + 36828.6i 0.598925 + 2.36270i
\(625\) −133.758 + 231.676i −0.00856052 + 0.0148272i
\(626\) 44269.2 2.82644
\(627\) −14303.4 + 13921.3i −0.911040 + 0.886703i
\(628\) 28573.5 1.81562
\(629\) −7931.46 −0.502779
\(630\) −8500.07 15211.5i −0.537541 0.961969i
\(631\) −8362.46 −0.527582 −0.263791 0.964580i \(-0.584973\pi\)
−0.263791 + 0.964580i \(0.584973\pi\)
\(632\) −31450.8 −1.97950
\(633\) −2134.41 8420.03i −0.134021 0.528699i
\(634\) 28256.6 1.77005
\(635\) 8618.06 14926.9i 0.538578 0.932845i
\(636\) 28229.1 27475.0i 1.76000 1.71298i
\(637\) −11427.6 18652.1i −0.710800 1.16016i
\(638\) −9170.65 −0.569075
\(639\) −21643.0 13289.5i −1.33988 0.822728i
\(640\) −5021.87 + 8698.14i −0.310167 + 0.537225i
\(641\) 13424.1 + 23251.3i 0.827178 + 1.43271i 0.900243 + 0.435388i \(0.143389\pi\)
−0.0730647 + 0.997327i \(0.523278\pi\)
\(642\) 11129.3 + 43904.1i 0.684175 + 2.69900i
\(643\) −7757.71 13436.7i −0.475792 0.824096i 0.523824 0.851827i \(-0.324505\pi\)
−0.999615 + 0.0277312i \(0.991172\pi\)
\(644\) 12220.2 + 6844.39i 0.747739 + 0.418799i
\(645\) 4125.09 + 16273.0i 0.251822 + 0.993412i
\(646\) −36244.1 −2.20744
\(647\) 10083.1 17464.4i 0.612685 1.06120i −0.378101 0.925765i \(-0.623423\pi\)
0.990786 0.135438i \(-0.0432440\pi\)
\(648\) −16719.8 32960.1i −1.01361 1.99814i
\(649\) 5973.70 + 10346.8i 0.361307 + 0.625802i
\(650\) 12704.2 22004.4i 0.766616 1.32782i
\(651\) −4993.99 + 18601.1i −0.300660 + 1.11987i
\(652\) −8265.82 14316.8i −0.496494 0.859954i
\(653\) −4400.97 + 7622.70i −0.263742 + 0.456814i −0.967233 0.253890i \(-0.918290\pi\)
0.703492 + 0.710704i \(0.251623\pi\)
\(654\) −11340.7 + 11037.8i −0.678070 + 0.659956i
\(655\) 1419.82 + 2459.20i 0.0846975 + 0.146700i
\(656\) −12459.7 21580.9i −0.741571 1.28444i
\(657\) 3124.94 1693.09i 0.185564 0.100538i
\(658\) −22.0088 1687.19i −0.00130394 0.0999595i
\(659\) −7010.77 + 12143.0i −0.414417 + 0.717791i −0.995367 0.0961482i \(-0.969348\pi\)
0.580950 + 0.813939i \(0.302681\pi\)
\(660\) −25207.7 7121.46i −1.48668 0.420004i
\(661\) 19173.7 1.12825 0.564123 0.825691i \(-0.309214\pi\)
0.564123 + 0.825691i \(0.309214\pi\)
\(662\) 11952.3 0.701721
\(663\) 24247.4 + 6850.16i 1.42035 + 0.401264i
\(664\) −5183.03 + 8977.27i −0.302922 + 0.524677i
\(665\) 154.621 + 11853.2i 0.00901645 + 0.691199i
\(666\) −388.404 + 14342.6i −0.0225981 + 0.834481i
\(667\) 923.691 + 1599.88i 0.0536214 + 0.0928749i
\(668\) −26746.2 46325.9i −1.54917 2.68324i
\(669\) 10090.8 9821.22i 0.583157 0.567579i
\(670\) −14607.1 + 25300.3i −0.842273 + 1.45886i
\(671\) −3161.58 5476.02i −0.181895 0.315051i
\(672\) −4453.99 + 16589.8i −0.255679 + 0.952329i
\(673\) 4962.05 8594.52i 0.284209 0.492265i −0.688208 0.725514i \(-0.741602\pi\)
0.972417 + 0.233249i \(0.0749356\pi\)
\(674\) 14648.8 + 25372.4i 0.837166 + 1.45001i
\(675\) −3267.79 + 10474.4i −0.186337 + 0.597273i
\(676\) −16785.9 + 29074.0i −0.955046 + 1.65419i
\(677\) −3151.89 −0.178932 −0.0894660 0.995990i \(-0.528516\pi\)
−0.0894660 + 0.995990i \(0.528516\pi\)
\(678\) −4876.90 19238.9i −0.276248 1.08977i
\(679\) −10698.2 5991.90i −0.604650 0.338657i
\(680\) −13184.2 22835.7i −0.743517 1.28781i
\(681\) 379.141 + 1495.67i 0.0213344 + 0.0841621i
\(682\) 20927.1 + 36246.9i 1.17499 + 2.03514i
\(683\) −99.2937 + 171.982i −0.00556276 + 0.00963499i −0.868793 0.495175i \(-0.835104\pi\)
0.863231 + 0.504810i \(0.168437\pi\)
\(684\) −1227.74 + 45337.0i −0.0686316 + 2.53436i
\(685\) −7894.19 −0.440323
\(686\) −1266.03 32336.4i −0.0704623 1.79972i
\(687\) −11246.5 + 10946.1i −0.624574 + 0.607889i
\(688\) 27075.7 46896.4i 1.50036 2.59870i
\(689\) 26931.8 1.48914
\(690\) 1874.41 + 7394.34i 0.103417 + 0.407968i
\(691\) 21760.1 1.19796 0.598981 0.800763i \(-0.295572\pi\)
0.598981 + 0.800763i \(0.295572\pi\)
\(692\) 30637.3 1.68303
\(693\) 20525.8 + 287.994i 1.12512 + 0.0157864i
\(694\) 8695.82 0.475632
\(695\) −8819.22 −0.481341
\(696\) −8278.22 + 8057.07i −0.450840 + 0.438797i
\(697\) −16526.0 −0.898089
\(698\) −5594.07 + 9689.22i −0.303351 + 0.525419i
\(699\) −385.179 1519.49i −0.0208424 0.0822211i
\(700\) 22346.9 13293.6i 1.20662 0.717787i
\(701\) 1686.04 0.0908427 0.0454213 0.998968i \(-0.485537\pi\)
0.0454213 + 0.998968i \(0.485537\pi\)
\(702\) 13574.6 43511.4i 0.729832 2.33936i
\(703\) 4880.33 8452.99i 0.261828 0.453500i
\(704\) −162.485 281.432i −0.00869870 0.0150666i
\(705\) 455.535 443.366i 0.0243354 0.0236853i
\(706\) −27118.4 46970.5i −1.44563 2.50391i
\(707\) 3826.10 2276.05i 0.203530 0.121075i
\(708\) 26125.1 + 7380.64i 1.38678 + 0.391781i
\(709\) −9982.43 −0.528770 −0.264385 0.964417i \(-0.585169\pi\)
−0.264385 + 0.964417i \(0.585169\pi\)
\(710\) −16389.5 + 28387.4i −0.866319 + 1.50051i
\(711\) 14273.7 + 8764.52i 0.752894 + 0.462300i
\(712\) −21944.8 38009.5i −1.15508 2.00066i
\(713\) 4215.67 7301.75i 0.221428 0.383524i
\(714\) 26344.9 + 26370.9i 1.38086 + 1.38222i
\(715\) −8954.27 15509.2i −0.468350 0.811207i
\(716\) −27407.7 + 47471.5i −1.43055 + 2.47778i
\(717\) −2657.05 10481.8i −0.138395 0.545954i
\(718\) 8398.73 + 14547.0i 0.436543 + 0.756115i
\(719\) 13757.6 + 23828.8i 0.713591 + 1.23598i 0.963501 + 0.267706i \(0.0862656\pi\)
−0.249910 + 0.968269i \(0.580401\pi\)
\(720\) −18618.4 + 10087.4i −0.963703 + 0.522133i
\(721\) −6566.24 3677.67i −0.339167 0.189963i
\(722\) 4830.62 8366.88i 0.248999 0.431279i
\(723\) 4429.37 + 17473.4i 0.227842 + 0.898815i
\(724\) 7508.59 0.385435
\(725\) 3429.54 0.175683
\(726\) 6719.81 6540.30i 0.343520 0.334343i
\(727\) −14734.5 + 25521.0i −0.751683 + 1.30195i 0.195323 + 0.980739i \(0.437424\pi\)
−0.947006 + 0.321215i \(0.895909\pi\)
\(728\) −51461.9 + 30613.4i −2.61992 + 1.55853i
\(729\) −1596.92 + 19618.1i −0.0811322 + 0.996703i
\(730\) −2293.55 3972.54i −0.116285 0.201411i
\(731\) −17956.0 31100.7i −0.908517 1.57360i
\(732\) −13826.7 3906.20i −0.698155 0.197237i
\(733\) −4756.36 + 8238.25i −0.239673 + 0.415125i −0.960620 0.277864i \(-0.910373\pi\)
0.720948 + 0.692989i \(0.243707\pi\)
\(734\) 4291.28 + 7432.71i 0.215796 + 0.373769i
\(735\) 8511.90 8728.29i 0.427165 0.438024i
\(736\) 3759.82 6512.21i 0.188300 0.326146i
\(737\) −17207.9 29804.9i −0.860055 1.48966i
\(738\) −809.279 + 29884.3i −0.0403658 + 1.49059i
\(739\) −1612.42 + 2792.80i −0.0802624 + 0.139019i −0.903363 0.428878i \(-0.858909\pi\)
0.823100 + 0.567896i \(0.192242\pi\)
\(740\) 12809.5 0.636334
\(741\) −22220.3 + 21626.7i −1.10160 + 1.07217i
\(742\) 34762.1 + 19469.8i 1.71989 + 0.963287i
\(743\) −8219.64 14236.8i −0.405854 0.702960i 0.588566 0.808449i \(-0.299693\pi\)
−0.994420 + 0.105489i \(0.966359\pi\)
\(744\) 50736.1 + 14333.5i 2.50010 + 0.706308i
\(745\) −5599.66 9698.89i −0.275377 0.476966i
\(746\) 12330.7 21357.3i 0.605171 1.04819i
\(747\) 4854.02 2629.90i 0.237750 0.128813i
\(748\) 56034.3 2.73906
\(749\) −27234.6 + 16201.2i −1.32861 + 0.790358i
\(750\) 35409.3 + 10003.6i 1.72395 + 0.487037i
\(751\) 4080.49 7067.62i 0.198268 0.343410i −0.749699 0.661779i \(-0.769802\pi\)
0.947967 + 0.318369i \(0.103135\pi\)
\(752\) −2050.47 −0.0994320
\(753\) 25931.4 + 7325.91i 1.25497 + 0.354543i
\(754\) −14246.6 −0.688104
\(755\) 2604.89 0.125565
\(756\) 33879.2 32061.0i 1.62986 1.54239i
\(757\) 18136.9 0.870801 0.435401 0.900237i \(-0.356607\pi\)
0.435401 + 0.900237i \(0.356607\pi\)
\(758\) 20411.5 0.978072
\(759\) −8647.91 2443.14i −0.413570 0.116838i
\(760\) 32449.7 1.54878
\(761\) −8669.64 + 15016.3i −0.412975 + 0.715294i −0.995214 0.0977241i \(-0.968844\pi\)
0.582238 + 0.813018i \(0.302177\pi\)
\(762\) 64186.8 + 18133.5i 3.05150 + 0.862084i
\(763\) −9660.27 5410.60i −0.458356 0.256719i
\(764\) −37448.5 −1.77335
\(765\) −380.154 + 14038.0i −0.0179667 + 0.663455i
\(766\) −6778.29 + 11740.3i −0.319725 + 0.553780i
\(767\) 9280.14 + 16073.7i 0.436879 + 0.756697i
\(768\) −37085.9 10477.2i −1.74248 0.492271i
\(769\) 17102.1 + 29621.7i 0.801974 + 1.38906i 0.918315 + 0.395851i \(0.129550\pi\)
−0.116341 + 0.993209i \(0.537116\pi\)
\(770\) −345.576 26491.8i −0.0161736 1.23987i
\(771\) −644.485 + 627.268i −0.0301045 + 0.0293003i
\(772\) −22779.9 −1.06200
\(773\) 14432.8 24998.4i 0.671556 1.16317i −0.305907 0.952061i \(-0.598960\pi\)