Properties

Label 177.3.h.a.5.3
Level $177$
Weight $3$
Character 177.5
Analytic conductor $4.823$
Analytic rank $0$
Dimension $1064$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 177.h (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.82290067918\)
Analytic rank: \(0\)
Dimension: \(1064\)
Relative dimension: \(38\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 5.3
Character \(\chi\) \(=\) 177.5
Dual form 177.3.h.a.71.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.15362 + 3.42383i) q^{2} +(0.846084 + 2.87822i) q^{3} +(-7.20737 - 5.47890i) q^{4} +(-6.99239 - 2.78602i) q^{5} +(-10.8306 - 0.423531i) q^{6} +(0.665705 - 0.307988i) q^{7} +(15.1117 - 10.2460i) q^{8} +(-7.56829 + 4.87043i) q^{9} +O(q^{10})\) \(q+(-1.15362 + 3.42383i) q^{2} +(0.846084 + 2.87822i) q^{3} +(-7.20737 - 5.47890i) q^{4} +(-6.99239 - 2.78602i) q^{5} +(-10.8306 - 0.423531i) q^{6} +(0.665705 - 0.307988i) q^{7} +(15.1117 - 10.2460i) q^{8} +(-7.56829 + 4.87043i) q^{9} +(17.6054 - 20.7267i) q^{10} +(9.87482 + 2.74173i) q^{11} +(9.67143 - 25.3800i) q^{12} +(-1.92710 + 3.63490i) q^{13} +(0.286525 + 2.63456i) q^{14} +(2.10264 - 22.4828i) q^{15} +(7.95917 + 28.6663i) q^{16} +(9.81341 - 21.2113i) q^{17} +(-7.94456 - 31.5311i) q^{18} +(-25.8306 + 5.68574i) q^{19} +(35.1324 + 58.3904i) q^{20} +(1.44970 + 1.65546i) q^{21} +(-20.7790 + 30.6467i) q^{22} +(-31.1235 - 5.10245i) q^{23} +(42.2761 + 34.8259i) q^{24} +(22.9817 + 21.7694i) q^{25} +(-10.2221 - 10.7914i) q^{26} +(-20.4216 - 17.6624i) q^{27} +(-6.48541 - 1.42755i) q^{28} +(-5.80528 - 17.2295i) q^{29} +(74.5516 + 33.1357i) q^{30} +(-13.3422 - 2.93683i) q^{31} +(-34.4064 - 1.86546i) q^{32} +(0.463624 + 30.7416i) q^{33} +(61.3030 + 58.0692i) q^{34} +(-5.51293 + 0.298902i) q^{35} +(81.2320 + 6.36290i) q^{36} +(7.39359 - 10.9047i) q^{37} +(10.3317 - 94.9985i) q^{38} +(-12.0925 - 2.47119i) q^{39} +(-134.213 + 29.5425i) q^{40} +(56.2137 - 9.21578i) q^{41} +(-7.34041 + 3.05374i) q^{42} +(-13.6656 - 49.2189i) q^{43} +(-56.1498 - 73.8637i) q^{44} +(66.4895 - 12.9705i) q^{45} +(53.3747 - 100.675i) q^{46} +(-73.1414 + 29.1422i) q^{47} +(-75.7738 + 47.1623i) q^{48} +(-31.3736 + 36.9359i) q^{49} +(-101.047 + 53.5716i) q^{50} +(69.3538 + 10.2986i) q^{51} +(33.8046 - 15.6397i) q^{52} +(-62.6240 + 53.1933i) q^{53} +(84.0317 - 49.5441i) q^{54} +(-61.4100 - 46.6827i) q^{55} +(6.90432 - 11.4751i) q^{56} +(-38.2196 - 69.5354i) q^{57} +65.6878 q^{58} +(-9.56533 + 58.2195i) q^{59} +(-138.336 + 150.522i) q^{60} +(-39.6339 - 13.3542i) q^{61} +(25.4470 - 42.2933i) q^{62} +(-3.53821 + 5.57321i) q^{63} +(2.03141 - 5.09846i) q^{64} +(23.6019 - 20.0477i) q^{65} +(-105.789 - 33.8768i) q^{66} +(5.50646 + 8.12141i) q^{67} +(-186.944 + 99.1112i) q^{68} +(-11.6472 - 93.8975i) q^{69} +(5.33644 - 19.2201i) q^{70} +(57.7083 - 22.9931i) q^{71} +(-64.4675 + 151.145i) q^{72} +(91.8480 - 9.98907i) q^{73} +(28.8065 + 37.8943i) q^{74} +(-43.2127 + 84.5650i) q^{75} +(217.322 + 100.544i) q^{76} +(7.41813 - 1.21614i) q^{77} +(22.4111 - 38.5519i) q^{78} +(-19.5984 + 11.7919i) q^{79} +(24.2114 - 222.620i) q^{80} +(33.5579 - 73.7216i) q^{81} +(-33.2962 + 203.098i) q^{82} +(-147.043 + 7.97242i) q^{83} +(-1.37841 - 19.8743i) q^{84} +(-127.714 + 120.978i) q^{85} +(184.282 + 9.99146i) q^{86} +(44.6784 - 31.2864i) q^{87} +(177.318 - 59.7452i) q^{88} +(-51.8537 - 153.896i) q^{89} +(-32.2949 + 242.611i) q^{90} +(-0.163376 + 3.01329i) q^{91} +(196.363 + 207.298i) q^{92} +(-2.83574 - 40.8865i) q^{93} +(-15.4003 - 284.042i) q^{94} +(196.458 + 32.2076i) q^{95} +(-23.7415 - 100.607i) q^{96} +(-18.7538 - 2.03960i) q^{97} +(-90.2687 - 150.028i) q^{98} +(-88.0888 + 27.3444i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1064q - 29q^{3} + 18q^{4} - 21q^{6} - 46q^{7} - 49q^{9} + O(q^{10}) \) \( 1064q - 29q^{3} + 18q^{4} - 21q^{6} - 46q^{7} - 49q^{9} - 94q^{10} - 29q^{12} - 54q^{13} - 12q^{15} - 158q^{16} - 27q^{18} - 30q^{19} - 18q^{21} - 142q^{22} - 23q^{24} + 108q^{25} - 32q^{27} - 70q^{28} - 131q^{30} - 18q^{31} + 17q^{33} + 90q^{34} + 67q^{36} - 170q^{37} - 91q^{39} - 2q^{40} - 43q^{42} - 222q^{43} - 461q^{45} - 54q^{46} - 1645q^{48} - 300q^{49} - 893q^{51} - 66q^{52} - 859q^{54} + 170q^{55} - 27q^{57} - 36q^{58} + 510q^{60} - 70q^{61} + 610q^{63} - 106q^{64} + 1619q^{66} - 182q^{67} + 1487q^{69} - 206q^{70} + 2241q^{72} + 134q^{73} + 542q^{75} + 246q^{76} - 273q^{78} - 122q^{79} + 127q^{81} + 122q^{82} - 329q^{84} - 6q^{85} + 54q^{87} + 38q^{88} + 347q^{90} + 274q^{91} - 483q^{93} - 826q^{94} + 693q^{96} - 474q^{97} - 523q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{3}{29}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.15362 + 3.42383i −0.576811 + 1.71191i 0.118271 + 0.992981i \(0.462265\pi\)
−0.695081 + 0.718931i \(0.744632\pi\)
\(3\) 0.846084 + 2.87822i 0.282028 + 0.959406i
\(4\) −7.20737 5.47890i −1.80184 1.36972i
\(5\) −6.99239 2.78602i −1.39848 0.557204i −0.455552 0.890209i \(-0.650558\pi\)
−0.942925 + 0.333005i \(0.891937\pi\)
\(6\) −10.8306 0.423531i −1.80510 0.0705885i
\(7\) 0.665705 0.307988i 0.0951007 0.0439983i −0.371762 0.928328i \(-0.621246\pi\)
0.466863 + 0.884330i \(0.345384\pi\)
\(8\) 15.1117 10.2460i 1.88897 1.28075i
\(9\) −7.56829 + 4.87043i −0.840921 + 0.541159i
\(10\) 17.6054 20.7267i 1.76054 2.07267i
\(11\) 9.87482 + 2.74173i 0.897711 + 0.249248i 0.685584 0.727994i \(-0.259547\pi\)
0.212127 + 0.977242i \(0.431961\pi\)
\(12\) 9.67143 25.3800i 0.805952 2.11500i
\(13\) −1.92710 + 3.63490i −0.148239 + 0.279608i −0.946500 0.322703i \(-0.895408\pi\)
0.798262 + 0.602311i \(0.205753\pi\)
\(14\) 0.286525 + 2.63456i 0.0204661 + 0.188183i
\(15\) 2.10264 22.4828i 0.140176 1.49886i
\(16\) 7.95917 + 28.6663i 0.497448 + 1.79165i
\(17\) 9.81341 21.2113i 0.577259 1.24773i −0.370527 0.928822i \(-0.620823\pi\)
0.947787 0.318904i \(-0.103315\pi\)
\(18\) −7.94456 31.5311i −0.441364 1.75173i
\(19\) −25.8306 + 5.68574i −1.35950 + 0.299249i −0.834104 0.551607i \(-0.814015\pi\)
−0.525399 + 0.850856i \(0.676084\pi\)
\(20\) 35.1324 + 58.3904i 1.75662 + 2.91952i
\(21\) 1.44970 + 1.65546i 0.0690333 + 0.0788315i
\(22\) −20.7790 + 30.6467i −0.944500 + 1.39303i
\(23\) −31.1235 5.10245i −1.35320 0.221845i −0.558830 0.829282i \(-0.688749\pi\)
−0.794368 + 0.607437i \(0.792198\pi\)
\(24\) 42.2761 + 34.8259i 1.76150 + 1.45108i
\(25\) 22.9817 + 21.7694i 0.919267 + 0.870776i
\(26\) −10.2221 10.7914i −0.393158 0.415052i
\(27\) −20.4216 17.6624i −0.756354 0.654163i
\(28\) −6.48541 1.42755i −0.231622 0.0509838i
\(29\) −5.80528 17.2295i −0.200182 0.594119i 0.799799 0.600268i \(-0.204939\pi\)
−0.999981 + 0.00614853i \(0.998043\pi\)
\(30\) 74.5516 + 33.1357i 2.48505 + 1.10452i
\(31\) −13.3422 2.93683i −0.430392 0.0947365i −0.00550947 0.999985i \(-0.501754\pi\)
−0.424883 + 0.905248i \(0.639685\pi\)
\(32\) −34.4064 1.86546i −1.07520 0.0582956i
\(33\) 0.463624 + 30.7416i 0.0140492 + 0.931564i
\(34\) 61.3030 + 58.0692i 1.80303 + 1.70792i
\(35\) −5.51293 + 0.298902i −0.157512 + 0.00854006i
\(36\) 81.2320 + 6.36290i 2.25644 + 0.176747i
\(37\) 7.39359 10.9047i 0.199827 0.294722i −0.714552 0.699582i \(-0.753369\pi\)
0.914379 + 0.404860i \(0.132680\pi\)
\(38\) 10.3317 94.9985i 0.271887 2.49996i
\(39\) −12.0925 2.47119i −0.310065 0.0633639i
\(40\) −134.213 + 29.5425i −3.35532 + 0.738562i
\(41\) 56.2137 9.21578i 1.37107 0.224775i 0.569161 0.822226i \(-0.307268\pi\)
0.801906 + 0.597451i \(0.203820\pi\)
\(42\) −7.34041 + 3.05374i −0.174772 + 0.0727081i
\(43\) −13.6656 49.2189i −0.317804 1.14463i −0.934071 0.357088i \(-0.883770\pi\)
0.616267 0.787537i \(-0.288644\pi\)
\(44\) −56.1498 73.8637i −1.27613 1.67872i
\(45\) 66.4895 12.9705i 1.47754 0.288233i
\(46\) 53.3747 100.675i 1.16032 2.18859i
\(47\) −73.1414 + 29.1422i −1.55620 + 0.620046i −0.980307 0.197479i \(-0.936724\pi\)
−0.575892 + 0.817526i \(0.695345\pi\)
\(48\) −75.7738 + 47.1623i −1.57862 + 0.982548i
\(49\) −31.3736 + 36.9359i −0.640278 + 0.753794i
\(50\) −101.047 + 53.5716i −2.02093 + 1.07143i
\(51\) 69.3538 + 10.2986i 1.35988 + 0.201933i
\(52\) 33.8046 15.6397i 0.650088 0.300763i
\(53\) −62.6240 + 53.1933i −1.18159 + 1.00365i −0.181791 + 0.983337i \(0.558190\pi\)
−0.999794 + 0.0203104i \(0.993535\pi\)
\(54\) 84.0317 49.5441i 1.55614 0.917484i
\(55\) −61.4100 46.6827i −1.11655 0.848776i
\(56\) 6.90432 11.4751i 0.123291 0.204912i
\(57\) −38.2196 69.5354i −0.670519 1.21992i
\(58\) 65.6878 1.13255
\(59\) −9.56533 + 58.2195i −0.162124 + 0.986770i
\(60\) −138.336 + 150.522i −2.30559 + 2.50870i
\(61\) −39.6339 13.3542i −0.649736 0.218922i −0.0249152 0.999690i \(-0.507932\pi\)
−0.624821 + 0.780768i \(0.714828\pi\)
\(62\) 25.4470 42.2933i 0.410436 0.682149i
\(63\) −3.53821 + 5.57321i −0.0561621 + 0.0884636i
\(64\) 2.03141 5.09846i 0.0317408 0.0796634i
\(65\) 23.6019 20.0477i 0.363107 0.308426i
\(66\) −105.789 33.8768i −1.60286 0.513285i
\(67\) 5.50646 + 8.12141i 0.0821859 + 0.121215i 0.866560 0.499073i \(-0.166326\pi\)
−0.784374 + 0.620288i \(0.787016\pi\)
\(68\) −186.944 + 99.1112i −2.74917 + 1.45752i
\(69\) −11.6472 93.8975i −0.168799 1.36083i
\(70\) 5.33644 19.2201i 0.0762348 0.274573i
\(71\) 57.7083 22.9931i 0.812794 0.323847i 0.0735558 0.997291i \(-0.476565\pi\)
0.739238 + 0.673445i \(0.235186\pi\)
\(72\) −64.4675 + 151.145i −0.895382 + 2.09924i
\(73\) 91.8480 9.98907i 1.25819 0.136837i 0.545378 0.838190i \(-0.316386\pi\)
0.712814 + 0.701354i \(0.247421\pi\)
\(74\) 28.8065 + 37.8943i 0.389277 + 0.512085i
\(75\) −43.2127 + 84.5650i −0.576169 + 1.12753i
\(76\) 217.322 + 100.544i 2.85950 + 1.32294i
\(77\) 7.41813 1.21614i 0.0963394 0.0157940i
\(78\) 22.4111 38.5519i 0.287322 0.494255i
\(79\) −19.5984 + 11.7919i −0.248080 + 0.149265i −0.634164 0.773199i \(-0.718655\pi\)
0.386083 + 0.922464i \(0.373828\pi\)
\(80\) 24.2114 222.620i 0.302643 2.78276i
\(81\) 33.5579 73.7216i 0.414295 0.910143i
\(82\) −33.2962 + 203.098i −0.406051 + 2.47680i
\(83\) −147.043 + 7.97242i −1.77160 + 0.0960532i −0.910788 0.412874i \(-0.864525\pi\)
−0.860810 + 0.508927i \(0.830042\pi\)
\(84\) −1.37841 19.8743i −0.0164096 0.236598i
\(85\) −127.714 + 120.978i −1.50252 + 1.42326i
\(86\) 184.282 + 9.99146i 2.14281 + 0.116180i
\(87\) 44.6784 31.2864i 0.513545 0.359614i
\(88\) 177.318 59.7452i 2.01497 0.678923i
\(89\) −51.8537 153.896i −0.582626 1.72917i −0.679304 0.733857i \(-0.737718\pi\)
0.0966774 0.995316i \(-0.469178\pi\)
\(90\) −32.2949 + 242.611i −0.358833 + 2.69568i
\(91\) −0.163376 + 3.01329i −0.00179534 + 0.0331131i
\(92\) 196.363 + 207.298i 2.13438 + 2.25324i
\(93\) −2.83574 40.8865i −0.0304918 0.439640i
\(94\) −15.4003 284.042i −0.163833 3.02173i
\(95\) 196.458 + 32.2076i 2.06798 + 0.339028i
\(96\) −23.7415 100.607i −0.247307 1.04799i
\(97\) −18.7538 2.03960i −0.193338 0.0210268i 0.0109377 0.999940i \(-0.496518\pi\)
−0.204276 + 0.978913i \(0.565484\pi\)
\(98\) −90.2687 150.028i −0.921110 1.53090i
\(99\) −88.0888 + 27.3444i −0.889786 + 0.276206i
\(100\) −46.3650 282.814i −0.463650 2.82814i
\(101\) −32.3428 + 69.9079i −0.320226 + 0.692158i −0.999114 0.0420844i \(-0.986600\pi\)
0.678888 + 0.734242i \(0.262462\pi\)
\(102\) −115.269 + 225.575i −1.13008 + 2.21152i
\(103\) −109.573 + 83.2951i −1.06381 + 0.808691i −0.982175 0.187971i \(-0.939809\pi\)
−0.0816398 + 0.996662i \(0.526016\pi\)
\(104\) 8.12137 + 74.6748i 0.0780901 + 0.718027i
\(105\) −5.52470 15.6145i −0.0526162 0.148710i
\(106\) −109.880 275.779i −1.03661 2.60168i
\(107\) 106.442 + 29.5535i 0.994787 + 0.276201i 0.726522 0.687144i \(-0.241136\pi\)
0.268266 + 0.963345i \(0.413549\pi\)
\(108\) 50.4152 + 239.187i 0.466807 + 2.21469i
\(109\) 2.34341 + 4.42014i 0.0214992 + 0.0405517i 0.894029 0.448009i \(-0.147867\pi\)
−0.872530 + 0.488561i \(0.837522\pi\)
\(110\) 230.677 156.403i 2.09707 1.42185i
\(111\) 37.6418 + 12.0541i 0.339115 + 0.108595i
\(112\) 14.1273 + 16.6320i 0.126137 + 0.148500i
\(113\) 76.2608 + 30.3851i 0.674875 + 0.268895i 0.682294 0.731078i \(-0.260982\pi\)
−0.00741942 + 0.999972i \(0.502362\pi\)
\(114\) 282.168 50.6398i 2.47516 0.444208i
\(115\) 203.412 + 122.389i 1.76880 + 1.06425i
\(116\) −52.5577 + 155.986i −0.453083 + 1.34470i
\(117\) −3.11866 36.8958i −0.0266552 0.315348i
\(118\) −188.298 99.9132i −1.59575 0.846722i
\(119\) 17.1429i 0.144058i
\(120\) −198.585 361.298i −1.65487 3.01082i
\(121\) −13.6848 8.23387i −0.113097 0.0680485i
\(122\) 91.4451 120.294i 0.749550 0.986016i
\(123\) 74.0865 + 153.998i 0.602330 + 1.25202i
\(124\) 80.0713 + 94.2672i 0.645736 + 0.760219i
\(125\) −21.0343 45.4650i −0.168275 0.363720i
\(126\) −14.9999 18.5436i −0.119047 0.147171i
\(127\) 6.29708 + 11.8775i 0.0495833 + 0.0935240i 0.907065 0.420990i \(-0.138317\pi\)
−0.857482 + 0.514514i \(0.827972\pi\)
\(128\) −89.9343 76.3909i −0.702612 0.596804i
\(129\) 130.101 80.9757i 1.00853 0.627719i
\(130\) 41.4120 + 103.936i 0.318554 + 0.799510i
\(131\) 81.2824 + 43.0932i 0.620476 + 0.328956i 0.748819 0.662774i \(-0.230621\pi\)
−0.128343 + 0.991730i \(0.540966\pi\)
\(132\) 165.089 224.106i 1.25067 1.69777i
\(133\) −15.4444 + 11.7405i −0.116123 + 0.0882746i
\(134\) −34.1587 + 9.48411i −0.254915 + 0.0707769i
\(135\) 93.5876 + 180.397i 0.693242 + 1.33628i
\(136\) −69.0340 421.089i −0.507603 3.09624i
\(137\) 42.2528 + 191.956i 0.308415 + 1.40114i 0.834640 + 0.550797i \(0.185676\pi\)
−0.526225 + 0.850345i \(0.676393\pi\)
\(138\) 334.925 + 68.4442i 2.42699 + 0.495973i
\(139\) −23.4792 2.55352i −0.168915 0.0183707i 0.0232705 0.999729i \(-0.492592\pi\)
−0.192186 + 0.981359i \(0.561558\pi\)
\(140\) 41.3713 + 28.0505i 0.295509 + 0.200360i
\(141\) −145.761 185.860i −1.03377 1.31816i
\(142\) 12.1508 + 224.109i 0.0855691 + 1.57823i
\(143\) −28.9957 + 30.6104i −0.202767 + 0.214058i
\(144\) −199.854 178.190i −1.38788 1.23743i
\(145\) −7.40888 + 136.649i −0.0510957 + 0.942405i
\(146\) −71.7569 + 325.995i −0.491486 + 2.23284i
\(147\) −132.854 59.0493i −0.903770 0.401696i
\(148\) −113.034 + 38.0857i −0.763745 + 0.257336i
\(149\) 2.15569 9.79341i 0.0144677 0.0657276i −0.968834 0.247713i \(-0.920321\pi\)
0.983301 + 0.181985i \(0.0582522\pi\)
\(150\) −239.685 245.509i −1.59790 1.63672i
\(151\) −10.4049 + 9.85609i −0.0689069 + 0.0652721i −0.721378 0.692541i \(-0.756491\pi\)
0.652471 + 0.757814i \(0.273732\pi\)
\(152\) −332.089 + 350.582i −2.18479 + 2.30646i
\(153\) 29.0376 + 208.329i 0.189788 + 1.36163i
\(154\) −4.39386 + 26.8014i −0.0285316 + 0.174035i
\(155\) 85.1115 + 57.7070i 0.549107 + 0.372303i
\(156\) 73.6158 + 84.0644i 0.471896 + 0.538875i
\(157\) −183.764 + 110.567i −1.17047 + 0.704247i −0.961804 0.273740i \(-0.911739\pi\)
−0.208664 + 0.977987i \(0.566912\pi\)
\(158\) −17.7645 80.7048i −0.112433 0.510790i
\(159\) −206.087 135.240i −1.29615 0.850564i
\(160\) 235.386 + 108.901i 1.47116 + 0.680631i
\(161\) −22.2906 + 6.18895i −0.138451 + 0.0384407i
\(162\) 213.697 + 199.943i 1.31912 + 1.23422i
\(163\) −76.2449 + 8.29213i −0.467760 + 0.0508720i −0.338964 0.940799i \(-0.610077\pi\)
−0.128796 + 0.991671i \(0.541111\pi\)
\(164\) −455.645 241.568i −2.77832 1.47297i
\(165\) 82.4050 216.249i 0.499424 1.31060i
\(166\) 142.335 512.645i 0.857441 3.08822i
\(167\) −110.883 94.1845i −0.663968 0.563979i 0.250760 0.968049i \(-0.419319\pi\)
−0.914728 + 0.404070i \(0.867595\pi\)
\(168\) 38.8694 + 10.1633i 0.231365 + 0.0604956i
\(169\) 85.3418 + 125.870i 0.504981 + 0.744792i
\(170\) −266.872 576.834i −1.56983 3.39314i
\(171\) 167.801 168.837i 0.981293 0.987352i
\(172\) −171.173 + 429.611i −0.995189 + 2.49774i
\(173\) 88.1845 116.005i 0.509737 0.670548i −0.467181 0.884162i \(-0.654730\pi\)
0.976918 + 0.213614i \(0.0685235\pi\)
\(174\) 55.5773 + 189.064i 0.319410 + 1.08657i
\(175\) 22.0037 + 7.41392i 0.125736 + 0.0423652i
\(176\) 304.897i 1.73237i
\(177\) −175.661 + 21.7274i −0.992437 + 0.122754i
\(178\) 586.734 3.29626
\(179\) 19.4693 57.7828i 0.108767 0.322809i −0.879423 0.476041i \(-0.842071\pi\)
0.988190 + 0.153232i \(0.0489680\pi\)
\(180\) −550.278 270.806i −3.05710 1.50448i
\(181\) 95.5541 + 72.6383i 0.527923 + 0.401317i 0.834901 0.550400i \(-0.185525\pi\)
−0.306978 + 0.951717i \(0.599318\pi\)
\(182\) −10.1285 4.03557i −0.0556512 0.0221735i
\(183\) 4.90276 125.374i 0.0267911 0.685103i
\(184\) −522.611 + 241.786i −2.84028 + 1.31405i
\(185\) −82.0797 + 55.6514i −0.443674 + 0.300818i
\(186\) 143.260 + 37.4584i 0.770212 + 0.201389i
\(187\) 155.061 182.552i 0.829205 0.976216i
\(188\) 686.823 + 190.696i 3.65332 + 1.01434i
\(189\) −19.0345 5.46835i −0.100712 0.0289331i
\(190\) −336.911 + 635.482i −1.77322 + 3.34464i
\(191\) 23.5569 + 216.602i 0.123334 + 1.13404i 0.878244 + 0.478213i \(0.158715\pi\)
−0.754910 + 0.655829i \(0.772319\pi\)
\(192\) 16.3932 + 1.53312i 0.0853814 + 0.00798503i
\(193\) −69.6064 250.700i −0.360655 1.29896i −0.892088 0.451862i \(-0.850760\pi\)
0.531433 0.847101i \(-0.321654\pi\)
\(194\) 28.6180 61.8567i 0.147515 0.318849i
\(195\) 77.6708 + 50.9695i 0.398312 + 0.261382i
\(196\) 428.489 94.3176i 2.18617 0.481212i
\(197\) −41.2502 68.5583i −0.209392 0.348012i 0.734307 0.678817i \(-0.237507\pi\)
−0.943699 + 0.330806i \(0.892680\pi\)
\(198\) 7.99872 333.146i 0.0403976 1.68255i
\(199\) 113.641 167.608i 0.571062 0.842253i −0.427015 0.904245i \(-0.640435\pi\)
0.998077 + 0.0619913i \(0.0197451\pi\)
\(200\) 570.343 + 93.5030i 2.85171 + 0.467515i
\(201\) −18.7163 + 22.7202i −0.0931158 + 0.113036i
\(202\) −202.041 191.383i −1.00020 0.947443i
\(203\) −9.17107 9.68178i −0.0451777 0.0476935i
\(204\) −443.434 454.208i −2.17369 2.22651i
\(205\) −418.744 92.1724i −2.04265 0.449622i
\(206\) −158.782 471.249i −0.770788 2.28762i
\(207\) 260.403 112.968i 1.25799 0.545740i
\(208\) −119.537 26.3121i −0.574698 0.126501i
\(209\) −270.661 14.6748i −1.29503 0.0702144i
\(210\) 59.8348 0.902387i 0.284927 0.00429708i
\(211\) 45.0819 + 42.7038i 0.213658 + 0.202388i 0.787043 0.616899i \(-0.211611\pi\)
−0.573384 + 0.819287i \(0.694370\pi\)
\(212\) 742.795 40.2732i 3.50375 0.189968i
\(213\) 115.005 + 146.643i 0.539931 + 0.688465i
\(214\) −223.980 + 330.346i −1.04664 + 1.54367i
\(215\) −41.5700 + 382.230i −0.193349 + 1.77781i
\(216\) −489.575 57.6699i −2.26655 0.266990i
\(217\) −9.78645 + 2.15416i −0.0450989 + 0.00992701i
\(218\) −17.8372 + 2.92426i −0.0818219 + 0.0134140i
\(219\) 106.462 + 255.907i 0.486127 + 1.16853i
\(220\) 186.835 + 672.918i 0.849249 + 3.05872i
\(221\) 58.1896 + 76.5471i 0.263301 + 0.346367i
\(222\) −84.6954 + 114.973i −0.381511 + 0.517897i
\(223\) 46.0385 86.8378i 0.206451 0.389407i −0.758566 0.651596i \(-0.774100\pi\)
0.965017 + 0.262189i \(0.0844444\pi\)
\(224\) −23.4790 + 9.35490i −0.104817 + 0.0417630i
\(225\) −279.958 52.8264i −1.24426 0.234784i
\(226\) −192.009 + 226.051i −0.849599 + 1.00023i
\(227\) −241.883 + 128.238i −1.06556 + 0.564926i −0.906441 0.422333i \(-0.861211\pi\)
−0.159122 + 0.987259i \(0.550866\pi\)
\(228\) −105.515 + 710.568i −0.462783 + 3.11653i
\(229\) 99.0354 45.8187i 0.432469 0.200082i −0.191563 0.981480i \(-0.561356\pi\)
0.624032 + 0.781399i \(0.285493\pi\)
\(230\) −653.700 + 555.258i −2.84217 + 2.41416i
\(231\) 9.77668 + 20.3221i 0.0423233 + 0.0879742i
\(232\) −264.261 200.886i −1.13906 0.865889i
\(233\) 118.760 197.381i 0.509700 0.847128i −0.489997 0.871724i \(-0.663002\pi\)
0.999697 + 0.0245958i \(0.00782989\pi\)
\(234\) 129.922 + 31.8860i 0.555224 + 0.136265i
\(235\) 592.623 2.52180
\(236\) 387.919 367.201i 1.64373 1.55594i
\(237\) −50.5216 46.4314i −0.213171 0.195913i
\(238\) 58.6943 + 19.7764i 0.246615 + 0.0830942i
\(239\) 15.9623 26.5296i 0.0667879 0.111002i −0.821664 0.569972i \(-0.806954\pi\)
0.888452 + 0.458970i \(0.151781\pi\)
\(240\) 661.235 118.670i 2.75515 0.494457i
\(241\) −42.8326 + 107.502i −0.177728 + 0.446065i −0.990670 0.136280i \(-0.956485\pi\)
0.812942 + 0.582345i \(0.197865\pi\)
\(242\) 43.9784 37.3556i 0.181729 0.154362i
\(243\) 240.580 + 34.2123i 0.990039 + 0.140791i
\(244\) 212.490 + 313.399i 0.870860 + 1.28442i
\(245\) 322.281 170.862i 1.31543 0.697398i
\(246\) −612.730 + 76.0039i −2.49077 + 0.308959i
\(247\) 29.1110 104.848i 0.117858 0.424488i
\(248\) −231.714 + 92.3234i −0.934332 + 0.372272i
\(249\) −147.357 416.475i −0.591794 1.67259i
\(250\) 179.930 19.5685i 0.719719 0.0782742i
\(251\) 169.018 + 222.339i 0.673378 + 0.885813i 0.998201 0.0599618i \(-0.0190979\pi\)
−0.324823 + 0.945775i \(0.605305\pi\)
\(252\) 56.0362 20.7826i 0.222366 0.0824708i
\(253\) −293.350 135.718i −1.15949 0.536435i
\(254\) −47.9311 + 7.85790i −0.188705 + 0.0309366i
\(255\) −456.257 265.233i −1.78924 1.04013i
\(256\) 384.110 231.111i 1.50043 0.902778i
\(257\) −1.25579 + 11.5468i −0.00488635 + 0.0449293i −0.996327 0.0856268i \(-0.972711\pi\)
0.991441 + 0.130556i \(0.0416762\pi\)
\(258\) 127.160 + 538.857i 0.492869 + 2.08859i
\(259\) 1.56342 9.53647i 0.00603639 0.0368203i
\(260\) −279.947 + 15.1783i −1.07672 + 0.0583780i
\(261\) 127.851 + 102.123i 0.489850 + 0.391277i
\(262\) −241.313 + 228.583i −0.921040 + 0.872456i
\(263\) −128.344 6.95860i −0.487999 0.0264585i −0.191502 0.981492i \(-0.561336\pi\)
−0.296497 + 0.955034i \(0.595819\pi\)
\(264\) 321.985 + 459.809i 1.21964 + 1.74170i
\(265\) 586.089 197.476i 2.21166 0.745194i
\(266\) −22.3805 66.4230i −0.0841373 0.249711i
\(267\) 399.075 279.456i 1.49466 1.04665i
\(268\) 4.80935 88.7033i 0.0179453 0.330982i
\(269\) 44.3842 + 46.8559i 0.164997 + 0.174185i 0.803251 0.595640i \(-0.203102\pi\)
−0.638254 + 0.769826i \(0.720343\pi\)
\(270\) −725.613 + 112.318i −2.68746 + 0.415991i
\(271\) −16.9086 311.861i −0.0623934 1.15078i −0.847282 0.531143i \(-0.821763\pi\)
0.784889 0.619637i \(-0.212720\pi\)
\(272\) 686.158 + 112.490i 2.52264 + 0.413566i
\(273\) −8.81115 + 2.07927i −0.0322753 + 0.00761636i
\(274\) −705.969 76.7788i −2.57653 0.280214i
\(275\) 167.254 + 277.978i 0.608196 + 1.01083i
\(276\) −430.509 + 740.567i −1.55982 + 2.68321i
\(277\) −5.64946 34.4602i −0.0203952 0.124405i 0.974667 0.223663i \(-0.0718014\pi\)
−0.995062 + 0.0992578i \(0.968353\pi\)
\(278\) 35.8289 77.4430i 0.128881 0.278572i
\(279\) 115.281 42.7553i 0.413193 0.153245i
\(280\) −80.2474 + 61.0025i −0.286598 + 0.217866i
\(281\) −28.3468 260.644i −0.100878 0.927560i −0.929768 0.368147i \(-0.879992\pi\)
0.828889 0.559413i \(-0.188973\pi\)
\(282\) 804.506 284.649i 2.85286 1.00939i
\(283\) 64.0000 + 160.628i 0.226148 + 0.567590i 0.997641 0.0686488i \(-0.0218688\pi\)
−0.771493 + 0.636238i \(0.780489\pi\)
\(284\) −541.902 150.458i −1.90811 0.529783i
\(285\) 73.5192 + 592.699i 0.257962 + 2.07965i
\(286\) −71.3545 134.589i −0.249491 0.470591i
\(287\) 34.5834 23.4481i 0.120500 0.0817008i
\(288\) 269.483 153.455i 0.935705 0.532832i
\(289\) −166.523 196.046i −0.576205 0.678361i
\(290\) −459.314 183.008i −1.58384 0.631060i
\(291\) −9.99686 55.7031i −0.0343535 0.191420i
\(292\) −716.711 431.231i −2.45449 1.47682i
\(293\) 27.6723 82.1285i 0.0944447 0.280302i −0.890010 0.455941i \(-0.849303\pi\)
0.984455 + 0.175639i \(0.0561993\pi\)
\(294\) 355.438 386.749i 1.20897 1.31547i
\(295\) 229.085 380.444i 0.776560 1.28964i
\(296\) 240.544i 0.812650i
\(297\) −153.234 230.403i −0.515938 0.775769i
\(298\) 31.0441 + 18.6786i 0.104175 + 0.0626799i
\(299\) 78.5251 103.298i 0.262626 0.345478i
\(300\) 774.772 372.733i 2.58257 1.24244i
\(301\) −24.2560 28.5564i −0.0805849 0.0948718i
\(302\) −21.7422 46.9949i −0.0719939 0.155612i
\(303\) −228.575 33.9418i −0.754373 0.112019i
\(304\) −368.579 695.213i −1.21243 2.28689i
\(305\) 239.931 + 203.799i 0.786658 + 0.668193i
\(306\) −746.780 140.913i −2.44046 0.460500i
\(307\) 50.1400 + 125.842i 0.163322 + 0.409908i 0.987747 0.156064i \(-0.0498805\pi\)
−0.824425 + 0.565972i \(0.808501\pi\)
\(308\) −60.1283 31.8780i −0.195222 0.103500i
\(309\) −332.449 244.900i −1.07589 0.792557i
\(310\) −295.765 + 224.835i −0.954081 + 0.725274i
\(311\) −139.359 + 38.6928i −0.448099 + 0.124414i −0.484245 0.874932i \(-0.660906\pi\)
0.0361461 + 0.999347i \(0.488492\pi\)
\(312\) −208.059 + 86.5562i −0.666856 + 0.277424i
\(313\) −22.9697 140.109i −0.0733858 0.447633i −0.997803 0.0662507i \(-0.978896\pi\)
0.924417 0.381383i \(-0.124552\pi\)
\(314\) −166.568 756.726i −0.530472 2.40996i
\(315\) 40.2676 29.1125i 0.127834 0.0924206i
\(316\) 205.859 + 22.3885i 0.651454 + 0.0708498i
\(317\) −331.678 224.883i −1.04630 0.709411i −0.0882776 0.996096i \(-0.528136\pi\)
−0.958025 + 0.286685i \(0.907447\pi\)
\(318\) 700.783 549.591i 2.20372 1.72827i
\(319\) −10.0876 186.054i −0.0316225 0.583242i
\(320\) −28.4088 + 29.9908i −0.0887776 + 0.0937214i
\(321\) 4.99748 + 331.369i 0.0155685 + 1.03230i
\(322\) 4.52500 83.4588i 0.0140528 0.259189i
\(323\) −132.884 + 603.697i −0.411405 + 1.86903i
\(324\) −645.777 + 347.478i −1.99314 + 1.07246i
\(325\) −123.418 + 41.5842i −0.379746 + 0.127951i
\(326\) 59.5669 270.615i 0.182721 0.830108i
\(327\) −10.7394 + 10.4846i −0.0328422 + 0.0320631i
\(328\) 755.063 715.234i 2.30202 2.18059i
\(329\) −39.7151 + 41.9267i −0.120715 + 0.127437i
\(330\) 645.334 + 531.609i 1.95556 + 1.61094i
\(331\) 30.7431 187.525i 0.0928796 0.566540i −0.898856 0.438244i \(-0.855601\pi\)
0.991736 0.128297i \(-0.0409510\pi\)
\(332\) 1103.47 + 748.171i 3.32370 + 2.25353i
\(333\) −2.84611 + 118.540i −0.00854687 + 0.355976i
\(334\) 450.388 270.989i 1.34847 0.811346i
\(335\) −15.8768 72.1292i −0.0473935 0.215311i
\(336\) −35.9176 + 54.7336i −0.106898 + 0.162898i
\(337\) 301.094 + 139.301i 0.893454 + 0.413356i 0.812228 0.583340i \(-0.198254\pi\)
0.0812257 + 0.996696i \(0.474117\pi\)
\(338\) −529.408 + 146.990i −1.56630 + 0.434880i
\(339\) −22.9319 + 245.204i −0.0676457 + 0.723315i
\(340\) 1583.31 172.195i 4.65679 0.506456i
\(341\) −123.699 65.5813i −0.362755 0.192321i
\(342\) 384.490 + 769.296i 1.12424 + 2.24940i
\(343\) −19.1251 + 68.8824i −0.0557583 + 0.200823i
\(344\) −710.808 603.766i −2.06630 1.75513i
\(345\) −180.159 + 689.017i −0.522200 + 1.99715i
\(346\) 295.448 + 435.754i 0.853897 + 1.25940i
\(347\) −0.0683411 0.147717i −0.000196948 0.000425697i 0.907477 0.420102i \(-0.138006\pi\)
−0.907674 + 0.419676i \(0.862144\pi\)
\(348\) −493.429 19.2956i −1.41790 0.0554471i
\(349\) 47.8591 120.117i 0.137132 0.344176i −0.844332 0.535820i \(-0.820003\pi\)
0.981464 + 0.191644i \(0.0613820\pi\)
\(350\) −50.7679 + 66.7840i −0.145051 + 0.190812i
\(351\) 103.555 40.1931i 0.295030 0.114510i
\(352\) −334.642 112.754i −0.950688 0.320324i
\(353\) 141.606i 0.401150i −0.979678 0.200575i \(-0.935719\pi\)
0.979678 0.200575i \(-0.0642810\pi\)
\(354\) 128.256 626.499i 0.362304 1.76977i
\(355\) −467.578 −1.31712
\(356\) −469.454 + 1393.29i −1.31869 + 3.91373i
\(357\) 49.3410 14.5043i 0.138210 0.0406284i
\(358\) 175.378 + 133.319i 0.489883 + 0.372399i
\(359\) 464.199 + 184.954i 1.29303 + 0.515191i 0.912311 0.409498i \(-0.134296\pi\)
0.380722 + 0.924690i \(0.375675\pi\)
\(360\) 871.877 877.260i 2.42188 2.43683i
\(361\) 307.255 142.152i 0.851123 0.393771i
\(362\) −358.934 + 243.363i −0.991531 + 0.672275i
\(363\) 12.1204 46.3544i 0.0333895 0.127698i
\(364\) 17.6870 20.8228i 0.0485907 0.0572054i
\(365\) −670.066 186.043i −1.83580 0.509707i
\(366\) 423.602 + 161.420i 1.15738 + 0.441039i
\(367\) −50.4535 + 95.1654i −0.137475 + 0.259306i −0.942685 0.333684i \(-0.891708\pi\)
0.805209 + 0.592991i \(0.202053\pi\)
\(368\) −101.449 932.809i −0.275677 2.53481i
\(369\) −380.557 + 343.533i −1.03132 + 0.930983i
\(370\) −95.8518 345.227i −0.259059 0.933046i
\(371\) −25.3062 + 54.6985i −0.0682108 + 0.147435i
\(372\) −203.575 + 310.221i −0.547243 + 0.833926i
\(373\) −464.897 + 102.332i −1.24637 + 0.274347i −0.788703 0.614775i \(-0.789247\pi\)
−0.457670 + 0.889122i \(0.651316\pi\)
\(374\) 446.145 + 741.499i 1.19290 + 1.98262i
\(375\) 113.061 99.0086i 0.301497 0.264023i
\(376\) −806.703 + 1189.80i −2.14549 + 3.16435i
\(377\) 73.8147 + 12.1013i 0.195795 + 0.0320990i
\(378\) 40.6813 58.8625i 0.107622 0.155721i
\(379\) −16.5668 15.6929i −0.0437118 0.0414060i 0.665532 0.746369i \(-0.268205\pi\)
−0.709244 + 0.704963i \(0.750963\pi\)
\(380\) −1239.48 1308.50i −3.26179 3.44343i
\(381\) −28.8583 + 28.1738i −0.0757436 + 0.0739469i
\(382\) −768.783 169.222i −2.01252 0.442989i
\(383\) −164.535 488.321i −0.429594 1.27499i −0.915972 0.401242i \(-0.868579\pi\)
0.486378 0.873749i \(-0.338318\pi\)
\(384\) 143.778 323.484i 0.374421 0.842405i
\(385\) −55.2587 12.1633i −0.143529 0.0315931i
\(386\) 938.652 + 50.8922i 2.43174 + 0.131845i
\(387\) 343.142 + 305.945i 0.886671 + 0.790557i
\(388\) 123.991 + 117.450i 0.319563 + 0.302706i
\(389\) 494.516 26.8119i 1.27125 0.0689251i 0.593871 0.804560i \(-0.297599\pi\)
0.677378 + 0.735635i \(0.263116\pi\)
\(390\) −264.113 + 207.132i −0.677214 + 0.531107i
\(391\) −413.658 + 610.100i −1.05795 + 1.56036i
\(392\) −95.6645 + 879.621i −0.244042 + 2.24393i
\(393\) −55.2599 + 270.409i −0.140611 + 0.688063i
\(394\) 282.319 62.1430i 0.716545 0.157723i
\(395\) 169.892 27.8524i 0.430106 0.0705123i
\(396\) 784.705 + 285.549i 1.98158 + 0.721082i
\(397\) −23.7997 85.7187i −0.0599488 0.215916i 0.927509 0.373802i \(-0.121946\pi\)
−0.987457 + 0.157886i \(0.949532\pi\)
\(398\) 442.763 + 582.445i 1.11247 + 1.46343i
\(399\) −46.8590 34.5189i −0.117441 0.0865135i
\(400\) −441.134 + 832.066i −1.10283 + 2.08017i
\(401\) 68.3381 27.2284i 0.170419 0.0679012i −0.283368 0.959011i \(-0.591452\pi\)
0.453787 + 0.891110i \(0.350073\pi\)
\(402\) −56.1984 90.2918i −0.139797 0.224606i
\(403\) 36.3868 42.8378i 0.0902898 0.106297i
\(404\) 616.125 326.649i 1.52506 0.808537i
\(405\) −440.040 + 421.997i −1.08652 + 1.04197i
\(406\) 43.7287 20.2310i 0.107706 0.0498301i
\(407\) 102.908 87.4110i 0.252846 0.214769i
\(408\) 1153.58 554.971i 2.82740 1.36022i
\(409\) 61.7353 + 46.9299i 0.150942 + 0.114743i 0.677920 0.735136i \(-0.262882\pi\)
−0.526978 + 0.849879i \(0.676675\pi\)
\(410\) 798.654 1327.37i 1.94794 3.23749i
\(411\) −516.743 + 284.024i −1.25728 + 0.691056i
\(412\) 1246.10 3.02451
\(413\) 11.5632 + 41.7030i 0.0279981 + 0.100976i
\(414\) 86.3770 + 1021.90i 0.208640 + 2.46835i
\(415\) 1050.39 + 353.918i 2.53106 + 0.852814i
\(416\) 73.0853 121.469i 0.175686 0.291992i
\(417\) −12.5158 69.7389i −0.0300139 0.167239i
\(418\) 362.484 909.766i 0.867186 2.17647i
\(419\) −545.388 + 463.257i −1.30164 + 1.10562i −0.313912 + 0.949452i \(0.601640\pi\)
−0.987730 + 0.156173i \(0.950084\pi\)
\(420\) −45.7317 + 142.809i −0.108885 + 0.340021i
\(421\) 402.195 + 593.193i 0.955333 + 1.40901i 0.912110 + 0.409945i \(0.134452\pi\)
0.0432223 + 0.999065i \(0.486238\pi\)
\(422\) −198.218 + 105.088i −0.469711 + 0.249025i
\(423\) 411.620 576.786i 0.973096 1.36356i
\(424\) −401.339 + 1445.49i −0.946553 + 3.40918i
\(425\) 687.287 273.840i 1.61714 0.644329i
\(426\) −634.753 + 224.587i −1.49003 + 0.527200i
\(427\) −30.4974 + 3.31680i −0.0714226 + 0.00776767i
\(428\) −605.247 796.189i −1.41413 1.86026i
\(429\) −112.636 57.5570i −0.262555 0.134165i
\(430\) −1260.73 583.277i −2.93194 1.35646i
\(431\) −129.575 + 21.2428i −0.300639 + 0.0492873i −0.310214 0.950667i \(-0.600401\pi\)
0.00957451 + 0.999954i \(0.496952\pi\)
\(432\) 343.777 725.989i 0.795781 1.68053i
\(433\) −602.554 + 362.544i −1.39158 + 0.837285i −0.996678 0.0814387i \(-0.974049\pi\)
−0.394900 + 0.918724i \(0.629221\pi\)
\(434\) 3.91439 35.9922i 0.00901932 0.0829313i
\(435\) −399.573 + 94.2919i −0.918560 + 0.216763i
\(436\) 7.32767 44.6968i 0.0168066 0.102516i
\(437\) 832.950 45.1612i 1.90606 0.103344i
\(438\) −998.997 + 69.2869i −2.28082 + 0.158189i
\(439\) −117.490 + 111.292i −0.267631 + 0.253513i −0.809732 0.586800i \(-0.800387\pi\)
0.542101 + 0.840313i \(0.317629\pi\)
\(440\) −1406.32 76.2487i −3.19619 0.173293i
\(441\) 57.5510 432.344i 0.130501 0.980372i
\(442\) −329.213 + 110.925i −0.744825 + 0.250961i
\(443\) 57.8448 + 171.677i 0.130575 + 0.387533i 0.992920 0.118789i \(-0.0379012\pi\)
−0.862344 + 0.506322i \(0.831005\pi\)
\(444\) −205.255 293.114i −0.462287 0.660166i
\(445\) −66.1773 + 1220.57i −0.148713 + 2.74285i
\(446\) 244.207 + 257.806i 0.547548 + 0.578040i
\(447\) 30.0115 2.08149i 0.0671398 0.00465658i
\(448\) −0.217943 4.01972i −0.000486480 0.00897259i
\(449\) 163.069 + 26.7338i 0.363183 + 0.0595408i 0.340611 0.940204i \(-0.389366\pi\)
0.0225720 + 0.999745i \(0.492814\pi\)
\(450\) 503.834 897.586i 1.11963 1.99464i
\(451\) 580.368 + 63.1188i 1.28685 + 0.139953i
\(452\) −383.163 636.822i −0.847706 1.40890i
\(453\) −37.1714 21.6086i −0.0820561 0.0477012i
\(454\) −160.024 976.103i −0.352476 2.15001i
\(455\) 9.53749 20.6149i 0.0209615 0.0453076i
\(456\) −1290.03 659.203i −2.82900 1.44562i
\(457\) 188.111 142.998i 0.411621 0.312906i −0.378791 0.925482i \(-0.623660\pi\)
0.790411 + 0.612577i \(0.209867\pi\)
\(458\) 42.6258 + 391.937i 0.0930693 + 0.855759i
\(459\) −575.048 + 259.840i −1.25283 + 0.566101i
\(460\) −795.509 1996.58i −1.72937 4.34039i
\(461\) −177.543 49.2945i −0.385125 0.106930i 0.0695688 0.997577i \(-0.477838\pi\)
−0.454694 + 0.890648i \(0.650251\pi\)
\(462\) −80.8577 + 10.0297i −0.175017 + 0.0217093i
\(463\) −303.828 573.081i −0.656217 1.23776i −0.958651 0.284586i \(-0.908144\pi\)
0.302434 0.953170i \(-0.402201\pi\)
\(464\) 447.700 303.548i 0.964871 0.654199i
\(465\) −94.0820 + 293.795i −0.202327 + 0.631816i
\(466\) 538.793 + 634.317i 1.15621 + 1.36119i
\(467\) −626.312 249.545i −1.34114 0.534358i −0.414410 0.910090i \(-0.636012\pi\)
−0.926728 + 0.375732i \(0.877391\pi\)
\(468\) −179.671 + 283.008i −0.383912 + 0.604718i
\(469\) 6.16697 + 3.71054i 0.0131492 + 0.00791161i
\(470\) −683.663 + 2029.04i −1.45460 + 4.31710i
\(471\) −473.715 435.363i −1.00576 0.924337i
\(472\) 451.969 + 977.804i 0.957561 + 2.07162i
\(473\) 523.495i 1.10675i
\(474\) 217.256 119.413i 0.458345 0.251926i
\(475\) −717.404 431.648i −1.51033 0.908733i
\(476\) −93.9242 + 123.555i −0.197320 + 0.259570i
\(477\) 214.882 707.588i 0.450487 1.48341i
\(478\) 72.4181 + 85.2572i 0.151502 + 0.178362i
\(479\) −221.368 478.480i −0.462147 0.998914i −0.988857 0.148869i \(-0.952437\pi\)
0.526710 0.850045i \(-0.323425\pi\)
\(480\) −114.285 + 769.630i −0.238094 + 1.60340i
\(481\) 25.3894 + 47.8895i 0.0527846 + 0.0995623i
\(482\) −318.654 270.667i −0.661108 0.561551i
\(483\) −36.6728 58.9208i −0.0759272 0.121989i
\(484\) 53.5188 + 134.322i 0.110576 + 0.277525i
\(485\) 125.451 + 66.5101i 0.258662 + 0.137134i
\(486\) −394.675 + 784.234i −0.812088 + 1.61365i
\(487\) −19.9943 + 15.1993i −0.0410561 + 0.0312100i −0.625501 0.780223i \(-0.715105\pi\)
0.584445 + 0.811433i \(0.301312\pi\)
\(488\) −735.766 + 204.284i −1.50772 + 0.418615i
\(489\) −88.3761 212.434i −0.180728 0.434425i
\(490\) 213.213 + 1300.54i 0.435129 + 2.65417i
\(491\) 68.7812 + 312.476i 0.140084 + 0.636408i 0.993370 + 0.114964i \(0.0366753\pi\)
−0.853286 + 0.521444i \(0.825394\pi\)
\(492\) 309.771 1515.83i 0.629616 3.08096i
\(493\) −422.430 45.9420i −0.856855 0.0931886i
\(494\) 325.400 + 220.626i 0.658704 + 0.446612i
\(495\) 692.133 + 54.2148i 1.39825 + 0.109525i
\(496\) −22.0043 405.846i −0.0443635 0.818237i
\(497\) 31.3351 33.0801i 0.0630485 0.0665595i
\(498\) 1595.93 24.0688i 3.20468 0.0483308i
\(499\) −22.8145 + 420.788i −0.0457204 + 0.843263i 0.882290 + 0.470707i \(0.156001\pi\)
−0.928010 + 0.372555i \(0.878482\pi\)
\(500\) −97.4958 + 442.928i −0.194992 + 0.885855i
\(501\) 177.268 398.832i 0.353828 0.796073i
\(502\) −956.232 + 322.192i −1.90485 + 0.641817i
\(503\) −145.866 + 662.676i −0.289992 + 1.31745i 0.576025 + 0.817432i \(0.304603\pi\)
−0.866017 + 0.500015i \(0.833328\pi\)
\(504\) 3.63462 + 120.473i 0.00721155 + 0.239035i
\(505\) 420.919 398.715i 0.833502 0.789535i
\(506\) 803.089 847.811i 1.58713 1.67552i
\(507\) −290.074 + 352.129i −0.572139 + 0.694534i
\(508\) 19.6905 120.107i 0.0387609 0.236431i
\(509\) −212.626 144.164i −0.417732 0.283229i 0.334159 0.942517i \(-0.391548\pi\)
−0.751891 + 0.659287i \(0.770858\pi\)
\(510\) 1434.46 1256.17i 2.81266 2.46307i
\(511\) 58.0671 34.9378i 0.113634 0.0683715i
\(512\) 246.702 + 1120.78i 0.481840 + 2.18902i
\(513\) 627.924 + 340.118i 1.22402 + 0.662998i
\(514\) −38.0856 17.6203i −0.0740965 0.0342807i
\(515\) 998.238 277.159i 1.93833 0.538174i
\(516\) −1381.34 129.185i −2.67701 0.250359i
\(517\) −802.157 + 87.2399i −1.55156 + 0.168743i
\(518\) 30.8476 + 16.3544i 0.0595514 + 0.0315721i
\(519\) 408.498 + 155.665i 0.787088 + 0.299932i
\(520\) 151.258 544.781i 0.290880 1.04766i
\(521\) −706.263 599.905i −1.35559 1.15145i −0.973853 0.227178i \(-0.927050\pi\)
−0.381738 0.924271i \(-0.624674\pi\)
\(522\) −497.144 + 319.927i −0.952383 + 0.612888i
\(523\) 555.318 + 819.033i 1.06179 + 1.56603i 0.799146 + 0.601137i \(0.205286\pi\)
0.262648 + 0.964892i \(0.415404\pi\)
\(524\) −349.729 755.926i −0.667421 1.44261i
\(525\) −2.72189 + 69.6043i −0.00518455 + 0.132580i
\(526\) 171.885 431.399i 0.326778 0.820150i
\(527\) −193.226 + 254.185i −0.366653 + 0.482324i
\(528\) −877.559 + 257.968i −1.66204 + 0.488576i
\(529\) 441.331 + 148.702i 0.834275 + 0.281100i
\(530\) 2234.48i 4.21600i
\(531\) −211.160 487.209i −0.397666 0.917530i
\(532\) 175.638 0.330147
\(533\) −74.8312 + 222.091i −0.140396 + 0.416681i
\(534\) 496.426 + 1688.75i 0.929637 + 3.16245i
\(535\) −661.949 503.200i −1.23729 0.940561i
\(536\) 166.424 + 66.3095i 0.310493 + 0.123712i
\(537\) 182.784 + 7.14780i 0.340380 + 0.0133106i
\(538\) −211.629 + 97.9099i −0.393362 + 0.181989i
\(539\) −411.077 + 278.717i −0.762666 + 0.517100i
\(540\) 313.857 1812.95i 0.581217 3.35731i
\(541\) 390.498 459.730i 0.721808 0.849778i −0.271836 0.962344i \(-0.587631\pi\)
0.993644 + 0.112565i \(0.0359067\pi\)
\(542\) 1087.26 + 301.877i 2.00602 + 0.556970i
\(543\) −128.222 + 336.484i −0.236137 + 0.619675i
\(544\) −377.213 + 711.499i −0.693406 + 1.30790i
\(545\) −4.07142 37.4361i −0.00747050 0.0686901i
\(546\) 3.04568 32.5665i 0.00557817 0.0596456i
\(547\) −73.4826 264.660i −0.134337 0.483840i 0.865517 0.500879i \(-0.166990\pi\)
−0.999855 + 0.0170392i \(0.994576\pi\)
\(548\) 747.178 1615.00i 1.36346 2.94708i
\(549\) 365.002 91.9656i 0.664848 0.167515i
\(550\) −1144.70 + 251.967i −2.08127 + 0.458122i
\(551\) 247.916 + 412.039i 0.449938 + 0.747803i
\(552\) −1138.08 1299.62i −2.06175 2.35438i
\(553\) −9.41495 + 13.8860i −0.0170252 + 0.0251103i
\(554\) 124.503 + 20.4112i 0.224735 + 0.0368434i
\(555\) −229.623 189.158i −0.413735 0.340824i
\(556\) 155.233 + 147.044i 0.279196 + 0.264468i
\(557\) −528.740 558.185i −0.949265 1.00213i −0.999994 0.00341420i \(-0.998913\pi\)
0.0507294 0.998712i \(-0.483845\pi\)
\(558\) 13.3960 + 444.025i 0.0240072 + 0.795744i
\(559\) 205.241 + 45.1769i 0.367157 + 0.0808173i
\(560\) −52.4467 155.656i −0.0936549 0.277958i
\(561\) 656.621 + 291.846i 1.17045 + 0.520225i
\(562\) 925.102 + 203.630i 1.64609 + 0.362331i
\(563\) −323.960 17.5646i −0.575418 0.0311983i −0.235866 0.971786i \(-0.575793\pi\)
−0.339552 + 0.940587i \(0.610275\pi\)
\(564\) 32.2464 + 2138.17i 0.0571745 + 3.79109i
\(565\) −448.592 424.929i −0.793968 0.752086i
\(566\) −623.793 + 33.8211i −1.10211 + 0.0597546i
\(567\) −0.365703 59.4122i −0.000644980 0.104783i
\(568\) 636.486 938.747i 1.12057 1.65272i
\(569\) −17.0819 + 157.065i −0.0300209 + 0.276037i 0.969500 + 0.245091i \(0.0788177\pi\)
−0.999521 + 0.0309466i \(0.990148\pi\)
\(570\) −2114.11 432.033i −3.70897 0.757953i
\(571\) 518.970 114.234i 0.908879 0.200060i 0.264160 0.964479i \(-0.414905\pi\)
0.644719 + 0.764419i \(0.276974\pi\)
\(572\) 376.693 61.7558i 0.658555 0.107965i
\(573\) −603.496 + 251.065i −1.05322 + 0.438159i
\(574\) 40.3862 + 145.458i 0.0703592 + 0.253411i
\(575\) −604.194 794.803i −1.05077 1.38227i
\(576\) 9.45737 + 48.4804i 0.0164190 + 0.0841674i
\(577\) 283.862 535.420i 0.491962 0.927938i −0.505901 0.862592i \(-0.668840\pi\)
0.997863 0.0653466i \(-0.0208153\pi\)
\(578\) 863.333 343.983i 1.49366 0.595127i
\(579\) 662.676 412.456i 1.14452 0.712358i
\(580\) 802.083 944.285i 1.38290 1.62808i
\(581\) −95.4316 + 50.5946i −0.164254 + 0.0870820i
\(582\) 202.250 + 30.0328i 0.347509 + 0.0516028i
\(583\) −764.242 + 353.576i −1.31088 + 0.606477i
\(584\) 1285.64 1092.03i 2.20143 1.86991i
\(585\) −80.9855 + 266.678i −0.138437 + 0.455860i
\(586\) 249.270 + 189.490i 0.425376 + 0.323362i
\(587\) −230.268 + 382.709i −0.392280 + 0.651974i −0.988564 0.150799i \(-0.951815\pi\)
0.596285 + 0.802773i \(0.296643\pi\)
\(588\) 634.004 + 1153.48i 1.07824 + 1.96171i
\(589\) 361.334 0.613470
\(590\) 1038.30 + 1223.24i 1.75982 + 2.07328i
\(591\) 162.425 176.733i 0.274830 0.299041i
\(592\) 371.445 + 125.155i 0.627441 + 0.211410i
\(593\) −240.261 + 399.316i −0.405161 + 0.673383i −0.990517 0.137394i \(-0.956127\pi\)
0.585355 + 0.810777i \(0.300955\pi\)
\(594\) 965.634 258.847i 1.62565 0.435770i
\(595\) −47.7605 + 119.870i −0.0802697 + 0.201462i
\(596\) −69.1940 + 58.7739i −0.116097 + 0.0986139i
\(597\) 578.564 + 185.274i 0.969118 + 0.310341i
\(598\) 263.086 + 388.023i 0.439943 + 0.648868i
\(599\) 463.568 245.768i 0.773903 0.410297i −0.0341428 0.999417i \(-0.510870\pi\)
0.808046 + 0.589120i \(0.200525\pi\)
\(600\) 213.436 + 1720.68i 0.355726 + 2.86781i
\(601\) 283.554 1021.27i 0.471803 1.69928i −0.218563 0.975823i \(-0.570137\pi\)
0.690367 0.723460i \(-0.257449\pi\)
\(602\) 125.754 50.1052i 0.208894 0.0832312i
\(603\) −81.2292 34.6464i −0.134708 0.0574567i
\(604\) 128.993 14.0288i 0.213564 0.0232265i
\(605\) 72.7496 + 95.7005i 0.120247 + 0.158183i
\(606\) 379.900 743.445i 0.626898 1.22681i
\(607\) 415.761 + 192.351i 0.684944 + 0.316889i 0.731319 0.682035i \(-0.238905\pi\)
−0.0463754 + 0.998924i \(0.514767\pi\)
\(608\) 899.343 147.440i 1.47918 0.242500i
\(609\) 20.1068 34.5879i 0.0330161 0.0567946i
\(610\) −974.561 + 586.374i −1.59764 + 0.961268i
\(611\) 35.0219 322.021i 0.0573190 0.527040i
\(612\) 932.128 1660.60i 1.52309 2.71339i
\(613\) −176.747 + 1078.11i −0.288331 + 1.75874i 0.303645 + 0.952785i \(0.401796\pi\)
−0.591976 + 0.805956i \(0.701652\pi\)
\(614\) −488.703 + 26.4967i −0.795933 + 0.0431542i
\(615\) −88.9997 1283.22i −0.144715 2.08654i
\(616\) 99.6404 94.3844i 0.161754 0.153221i
\(617\) −251.875 13.6563i −0.408225 0.0221333i −0.151117 0.988516i \(-0.548287\pi\)
−0.257108 + 0.966383i \(0.582770\pi\)
\(618\) 1222.02 855.727i 1.97737 1.38467i
\(619\) −596.392 + 200.948i −0.963477 + 0.324633i −0.756705 0.653756i \(-0.773192\pi\)
−0.206771 + 0.978389i \(0.566296\pi\)
\(620\) −297.259 882.233i −0.479450 1.42296i
\(621\) 545.470 + 653.916i 0.878373 + 1.05300i
\(622\) 28.2899 521.777i 0.0454822 0.838869i
\(623\) −81.9175 86.4793i −0.131489 0.138811i
\(624\) −25.4064 366.317i −0.0407154 0.587046i
\(625\) −22.4309 413.713i −0.0358894 0.661941i
\(626\) 506.208 + 82.9886i 0.808639 + 0.132570i
\(627\) −186.764 791.437i −0.297870 1.26226i
\(628\) 1930.23 + 209.926i 3.07362 + 0.334277i
\(629\) −158.748 263.841i −0.252381 0.419460i
\(630\) 53.2225 + 171.454i 0.0844801 + 0.272149i
\(631\) 162.312 + 990.057i 0.257229 + 1.56903i 0.727250 + 0.686373i \(0.240798\pi\)
−0.470021 + 0.882655i \(0.655753\pi\)
\(632\) −175.345 + 379.002i −0.277445 + 0.599687i
\(633\) −84.7679 + 165.887i −0.133915 + 0.262064i
\(634\) 1152.59 876.177i 1.81797 1.38198i
\(635\) −10.9405 100.596i −0.0172291 0.158419i
\(636\) 744.381 + 2103.85i 1.17041 + 3.30794i
\(637\) −73.7980 185.219i −0.115852 0.290768i
\(638\) 648.655 + 180.098i 1.01670 + 0.282285i
\(639\) −324.767 + 455.083i −0.508243 + 0.712179i
\(640\) 416.029 + 784.713i 0.650045 + 1.22611i
\(641\) −482.776 + 327.330i −0.753160 + 0.510655i −0.876319 0.481732i \(-0.840008\pi\)
0.123158 + 0.992387i \(0.460698\pi\)
\(642\) −1140.31 365.164i −1.77619 0.568791i
\(643\) 543.228 + 639.538i 0.844834 + 0.994615i 0.999977 + 0.00672324i \(0.00214009\pi\)
−0.155144 + 0.987892i \(0.549584\pi\)
\(644\) 194.565 + 77.5218i 0.302120 + 0.120375i
\(645\) −1135.31 + 203.751i −1.76018 + 0.315893i
\(646\) −1913.66 1151.41i −2.96232 1.78237i
\(647\) 405.877 1204.60i 0.627322 1.86183i 0.136324 0.990664i \(-0.456471\pi\)
0.490998 0.871161i \(-0.336632\pi\)
\(648\) −248.234 1457.90i −0.383078 2.24984i
\(649\) −254.078 + 548.681i −0.391491 + 0.845425i
\(650\) 470.533i 0.723896i
\(651\) −14.4803 26.3450i −0.0222432 0.0404684i
\(652\) 594.956 + 357.973i 0.912510 + 0.549039i
\(653\) −385.526 + 507.151i −0.590392 + 0.776648i −0.990156 0.139971i \(-0.955299\pi\)
0.399764 + 0.916618i \(0.369092\pi\)
\(654\) −23.5084 48.8651i −0.0359456 0.0747174i
\(655\) −448.299 527.779i −0.684426 0.805769i
\(656\) 711.597 + 1538.09i 1.08475 + 2.34465i
\(657\) −646.481 + 522.939i −0.983989 + 0.795950i
\(658\) −97.7336 184.345i −0.148531 0.280160i
\(659\) −199.217 169.216i −0.302302 0.256777i 0.483377 0.875412i \(-0.339410\pi\)
−0.785678 + 0.618635i \(0.787686\pi\)
\(660\) −1778.73 + 1107.10i −2.69504 + 1.67742i
\(661\) −419.266 1052.28i −0.634291 1.59195i −0.796125 0.605132i \(-0.793121\pi\)
0.161835 0.986818i \(-0.448259\pi\)
\(662\) 606.586 + 321.592i 0.916294 + 0.485788i
\(663\) −171.086 + 232.248i −0.258048 + 0.350298i
\(664\) −2140.39 + 1627.08i −3.22347 + 2.45042i
\(665\) 140.702 39.0659i 0.211583 0.0587456i
\(666\) −402.577 146.495i −0.604470 0.219962i
\(667\) 92.7685 + 565.863i 0.139083 + 0.848370i
\(668\) 283.144 + 1286.34i 0.423868 + 1.92565i
\(669\) 288.891 + 59.0368i 0.431825 + 0.0882464i
\(670\) 265.274 + 28.8502i 0.395931 + 0.0430601i
\(671\) −354.764 240.536i −0.528709 0.358474i
\(672\) −46.7907 59.6628i −0.0696290 0.0887839i
\(673\) −7.99663 147.489i −0.0118821 0.219152i −0.998444 0.0557640i \(-0.982241\pi\)
0.986562 0.163388i \(-0.0522422\pi\)
\(674\) −824.290 + 870.192i −1.22298 + 1.29109i
\(675\) −84.8219 850.476i −0.125662 1.25996i
\(676\) 74.5378 1374.77i 0.110263 2.03368i
\(677\) 93.5605 425.049i 0.138199 0.627843i −0.855693 0.517484i \(-0.826869\pi\)
0.993892 0.110359i \(-0.0352001\pi\)
\(678\) −813.080 361.387i −1.19923 0.533019i
\(679\) −13.1126 + 4.41817i −0.0193117 + 0.00650687i
\(680\) −690.450 + 3136.75i −1.01537 + 4.61286i
\(681\) −573.751 587.692i −0.842512 0.862983i
\(682\) 367.241 347.869i 0.538477 0.510072i
\(683\) 163.391 172.490i 0.239226 0.252547i −0.595317 0.803491i \(-0.702973\pi\)
0.834542 + 0.550944i \(0.185732\pi\)
\(684\) −2134.44 + 297.506i −3.12053 + 0.434950i
\(685\) 239.347 1459.95i 0.349411 2.13132i
\(686\) −213.778 144.945i −0.311630 0.211290i
\(687\) 215.668 + 246.279i 0.313928 + 0.358485i
\(688\) 1302.16 783.482i 1.89267 1.13878i
\(689\) −72.6695 330.141i −0.105471 0.479159i
\(690\) −2151.24 1411.70i −3.11774 2.04594i
\(691\) −369.041 170.737i −0.534068 0.247086i 0.134269 0.990945i \(-0.457131\pi\)
−0.668337 + 0.743859i \(0.732994\pi\)
\(692\) −1271.16 + 352.935i −1.83693 + 0.510021i
\(693\) −50.2194 + 45.3336i −0.0724667 + 0.0654164i
\(694\) 0.584596 0.0635787i 0.000842358 9.16119e-5i
\(695\) 157.062 + 83.2689i 0.225988 + 0.119811i
\(696\) 354.607 930.569i 0.509493 1.33702i
\(697\) 356.170 1282.81i 0.511004 1.84047i
\(698\) 356.049 + 302.431i 0.510099 + 0.433282i
\(699\) 668.586 + 174.817i 0.956490 + 0.250096i
\(700\) −117.969 173.991i −0.168527 0.248558i
\(701\) −43.3386 93.6749i −0.0618240 0.133630i 0.874201 0.485565i \(-0.161386\pi\)
−0.936025 + 0.351934i \(0.885524\pi\)
\(702\) 18.1503 + 400.923i 0.0258552 + 0.571116i
\(703\) −128.979 + 323.713i −0.183470 + 0.460474i
\(704\) 34.0384 44.7768i 0.0483500 0.0636034i
\(705\) 501.409 + 1705.70i 0.711218 + 2.41943i
\(706\) 484.834 + 163.359i 0.686733 + 0.231387i
\(707\) 56.4992i 0.0799141i
\(708\) 1385.10 + 805.833i 1.95635 + 1.13818i
\(709\) −67.2507 −0.0948530 −0.0474265 0.998875i \(-0.515102\pi\)
−0.0474265 + 0.998875i \(0.515102\pi\)
\(710\) 539.408 1600.91i 0.759730 2.25480i
\(711\) 90.8942 184.697i 0.127840 0.259771i
\(712\) −2360.43 1794.35i −3.31521 2.52015i
\(713\) 400.270 + 159.482i 0.561389 + 0.223678i
\(714\) −7.26055 + 185.668i −0.0101688 + 0.260039i
\(715\) 288.030 133.257i 0.402839 0.186373i
\(716\) −456.909 + 309.792i −0.638140 + 0.432670i
\(717\) 89.8634 + 23.4968i 0.125332 + 0.0327710i
\(718\) −1168.76 + 1375.97i −1.62780 + 1.91639i
\(719\) 1279.19 + 355.165i 1.77912 + 0.493971i 0.992370 0.123297i \(-0.0393469\pi\)
0.786753 + 0.617268i \(0.211761\pi\)
\(720\) 901.018 + 1802.77i 1.25141 + 2.50385i
\(721\) −47.2893 + 89.1971i −0.0655885 + 0.123713i
\(722\) 132.246 + 1215.98i 0.183166 + 1.68418i
\(723\) −345.653 32.3261i −0.478082 0.0447111i
\(724\) −290.715 1047.06i −0.401540 1.44622i
\(725\) 241.660 522.339i 0.333324 0.720468i
\(726\) 144.727 + 94.9735i 0.199348 + 0.130817i
\(727\) −1037.54 + 228.380i −1.42715 + 0.314140i −0.860345 0.509711i \(-0.829752\pi\)
−0.566806 + 0.823851i \(0.691821\pi\)
\(728\) 28.4054 + 47.2101i 0.0390184 + 0.0648490i
\(729\) 105.080 + 721.387i 0.144143 + 0.989557i
\(730\) 1409.98 2079.57i 1.93148 2.84872i
\(731\) −1178.10 193.140i −1.61163 0.264214i
\(732\) −722.247 + 876.754i −0.986676 + 1.19775i
\(733\) 535.078 + 506.853i 0.729984 + 0.691478i 0.959463 0.281836i \(-0.0909434\pi\)
−0.229478 + 0.973314i \(0.573702\pi\)
\(734\) −267.625 282.529i −0.364612 0.384916i
\(735\) 764.456 + 783.030i 1.04008 + 1.06535i
\(736\) 1061.33 + 233.616i 1.44202 + 0.317414i
\(737\) 32.1085 + 95.2947i 0.0435665 + 0.129301i
\(738\) −737.177 1699.27i −0.998885 2.30253i
\(739\) −901.692 198.477i −1.22015 0.268576i −0.442210 0.896912i \(-0.645805\pi\)
−0.777942 + 0.628336i \(0.783736\pi\)
\(740\) 896.486 + 48.6061i 1.21147 + 0.0656839i
\(741\) 326.407 4.92265i 0.440495 0.00664325i
\(742\) −158.084 149.745i −0.213052 0.201813i
\(743\) 725.080 39.3127i 0.975882 0.0529108i 0.440706 0.897651i \(-0.354728\pi\)
0.535176 + 0.844741i \(0.320245\pi\)
\(744\) −461.777 588.811i −0.620668 0.791413i
\(745\) −42.3581 + 62.4735i −0.0568565 + 0.0838571i
\(746\) 185.950 1709.78i 0.249262 2.29193i
\(747\) 1074.03 776.498i 1.43779 1.03949i
\(748\) −2117.77 + 466.156i −2.83124 + 0.623204i
\(749\) 79.9612 13.1090i 0.106757 0.0175020i
\(750\) 208.558 + 501.321i 0.278078 + 0.668428i
\(751\) −58.9495 212.317i −0.0784946 0.282712i 0.913878 0.405990i \(-0.133073\pi\)
−0.992372 + 0.123278i \(0.960659\pi\)
\(752\) −1417.54 1864.75i −1.88503 2.47972i
\(753\) −496.937 + 674.587i −0.659943 + 0.895867i
\(754\) −126.587 + 238.768i −0.167887 + 0.316669i
\(755\) 100.215 39.9292i 0.132735 0.0528863i
\(756\) 107.228 + 143.701i 0.141836 + 0.190080i
\(757\) −325.324 + 383.002i −0.429755 + 0.505947i −0.933832 0.357712i \(-0.883557\pi\)
0.504077 + 0.863659i \(0.331833\pi\)
\(758\) 72.8415 38.6181i 0.0960970 0.0509474i
\(759\) 142.428 959.154i 0.187652 1.26371i
\(760\) 3298.82 1526.20i 4.34056 2.00815i
\(761\) 812.273 689.951i 1.06738 0.906637i 0.0715072 0.997440i \(-0.477219\pi\)
0.995869 + 0.0908027i \(0.0289433\pi\)
\(762\) −63.1705 131.308i −0.0829009 0.172320i
\(763\) 2.92137 + 2.22077i 0.00382879 + 0.00291057i
\(764\) 1016.96 1690.19i 1.33109 2.21230i
\(765\) 377.367 1537.62i 0.493290 2.00996i
\(766\) 1861.74 2.43047
\(767\) −193.188 146.964i −0.251875 0.191609i
\(768\) 990.177 + 910.012i 1.28929 + 1.18491i
\(769\) −689.028 232.161i −0.896005 0.301899i −0.166635 0.986019i \(-0.553290\pi\)
−0.729370 + 0.684119i \(0.760187\pi\)
\(770\) 105.393 175.164i 0.136874 0.227486i
\(771\) −34.2968 + 6.15513i −0.0444835 + 0.00798331i
\(772\) −871.879 + 2188.25i −1.12938 + 2.83452i
\(773\) −778.877 + 661.584i −1.00760 + 0.855865i −0.989582 0.143973i \(-0.954012\pi\)
−0.0180205 + 0.999838i