Properties

Label 230.3.i.a.19.1
Level $230$
Weight $3$
Character 230.19
Analytic conductor $6.267$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 230.i (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.26704608029\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 19.1
Character \(\chi\) \(=\) 230.19
Dual form 230.3.i.a.109.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.28641 + 0.587486i) q^{2} +(-1.51772 - 5.16888i) q^{3} +(1.30972 - 1.51150i) q^{4} +(-4.19163 + 2.72584i) q^{5} +(4.98906 + 5.75768i) q^{6} +(0.512235 + 3.56267i) q^{7} +(-0.796860 + 2.71386i) q^{8} +(-16.8426 + 10.8241i) q^{9} +O(q^{10})\) \(q+(-1.28641 + 0.587486i) q^{2} +(-1.51772 - 5.16888i) q^{3} +(1.30972 - 1.51150i) q^{4} +(-4.19163 + 2.72584i) q^{5} +(4.98906 + 5.75768i) q^{6} +(0.512235 + 3.56267i) q^{7} +(-0.796860 + 2.71386i) q^{8} +(-16.8426 + 10.8241i) q^{9} +(3.79078 - 5.96909i) q^{10} +(7.06002 + 3.22420i) q^{11} +(-9.80055 - 4.47576i) q^{12} +(-8.22762 - 1.18295i) q^{13} +(-2.75197 - 4.28214i) q^{14} +(20.4513 + 17.5290i) q^{15} +(-0.569259 - 3.95929i) q^{16} +(5.32878 + 6.14974i) q^{17} +(15.3075 - 23.8190i) q^{18} +(-0.222299 - 0.192623i) q^{19} +(-1.36976 + 9.90574i) q^{20} +(17.6376 - 8.05482i) q^{21} -10.9763 q^{22} +(22.9782 + 1.00077i) q^{23} +15.2370 q^{24} +(10.1395 - 22.8515i) q^{25} +(11.2791 - 3.31184i) q^{26} +(44.8689 + 38.8792i) q^{27} +(6.05586 + 3.89187i) q^{28} +(28.9297 + 33.3867i) q^{29} +(-36.6068 - 10.5347i) q^{30} +(18.1340 + 5.32462i) q^{31} +(3.05833 + 4.75885i) q^{32} +(5.95039 - 41.3858i) q^{33} +(-10.4679 - 4.78053i) q^{34} +(-11.8584 - 13.5371i) q^{35} +(-5.69851 + 39.6340i) q^{36} +(-52.5439 + 33.7679i) q^{37} +(0.399132 + 0.117196i) q^{38} +(6.37268 + 44.3230i) q^{39} +(-4.05741 - 13.5476i) q^{40} +(-8.04016 - 5.16710i) q^{41} +(-17.9572 + 20.7237i) q^{42} +(-60.1460 + 17.6605i) q^{43} +(14.1200 - 6.44841i) q^{44} +(41.0931 - 91.2807i) q^{45} +(-30.1474 + 12.2120i) q^{46} +58.0051i q^{47} +(-19.6011 + 8.95152i) q^{48} +(34.5849 - 10.1550i) q^{49} +(0.381262 + 35.3533i) q^{50} +(23.6997 - 36.8774i) q^{51} +(-12.5639 + 10.8867i) q^{52} +(0.703015 + 4.88958i) q^{53} +(-80.5610 - 23.6548i) q^{54} +(-38.3817 + 5.72985i) q^{55} +(-10.0768 - 1.44882i) q^{56} +(-0.658259 + 1.44139i) q^{57} +(-56.8298 - 25.9533i) q^{58} +(-8.37099 + 58.2215i) q^{59} +(53.2805 - 7.95404i) q^{60} +(12.1732 - 41.4580i) q^{61} +(-26.4560 + 3.80379i) q^{62} +(-47.1900 - 54.4601i) q^{63} +(-6.73003 - 4.32513i) q^{64} +(37.7117 - 17.4687i) q^{65} +(16.6589 + 56.7351i) q^{66} +(-21.6692 - 47.4488i) q^{67} +16.2745 q^{68} +(-29.7017 - 120.291i) q^{69} +(23.2077 + 10.4477i) q^{70} +(56.7112 + 124.180i) q^{71} +(-15.9538 - 54.3336i) q^{72} +(91.9978 + 79.7165i) q^{73} +(47.7550 - 74.3082i) q^{74} +(-133.506 - 17.7279i) q^{75} +(-0.582300 + 0.0837222i) q^{76} +(-7.87039 + 26.8041i) q^{77} +(-34.2370 - 53.2739i) q^{78} +(-85.7511 - 12.3291i) q^{79} +(13.1785 + 15.0442i) q^{80} +(58.0107 - 127.026i) q^{81} +(13.3786 + 1.92355i) q^{82} +(-27.5754 + 17.7217i) q^{83} +(10.9255 - 37.2088i) q^{84} +(-39.0995 - 11.2520i) q^{85} +(66.9974 - 58.0536i) q^{86} +(128.664 - 200.206i) q^{87} +(-14.3759 + 16.5906i) q^{88} +(-40.0230 - 136.306i) q^{89} +(0.763327 + 141.566i) q^{90} -29.9183i q^{91} +(31.6077 - 33.4208i) q^{92} -101.814i q^{93} +(-34.0771 - 74.6185i) q^{94} +(1.45686 + 0.201453i) q^{95} +(19.9562 - 23.0307i) q^{96} +(65.0108 + 41.7799i) q^{97} +(-38.5245 + 33.3817i) q^{98} +(-153.808 + 22.1142i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 48q^{4} - 8q^{6} + 96q^{9} + O(q^{10}) \) \( 240q + 48q^{4} - 8q^{6} + 96q^{9} + 154q^{15} - 96q^{16} + 44q^{20} + 16q^{24} - 84q^{25} + 32q^{26} - 100q^{29} - 352q^{30} + 124q^{31} + 28q^{35} - 192q^{36} + 72q^{39} + 116q^{41} - 148q^{46} - 188q^{49} + 144q^{50} + 324q^{54} + 796q^{55} - 264q^{56} + 400q^{59} + 176q^{60} - 616q^{61} + 192q^{64} + 462q^{65} - 176q^{66} + 120q^{69} - 504q^{70} + 464q^{71} - 528q^{74} - 934q^{75} - 968q^{79} - 264q^{80} + 664q^{81} - 352q^{84} - 1196q^{85} + 396q^{86} + 376q^{94} + 126q^{95} - 32q^{96} - 3300q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{15}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.28641 + 0.587486i −0.643207 + 0.293743i
\(3\) −1.51772 5.16888i −0.505907 1.72296i −0.675421 0.737432i \(-0.736038\pi\)
0.169514 0.985528i \(-0.445780\pi\)
\(4\) 1.30972 1.51150i 0.327430 0.377875i
\(5\) −4.19163 + 2.72584i −0.838326 + 0.545169i
\(6\) 4.98906 + 5.75768i 0.831510 + 0.959614i
\(7\) 0.512235 + 3.56267i 0.0731765 + 0.508953i 0.993138 + 0.116946i \(0.0373103\pi\)
−0.919962 + 0.392008i \(0.871781\pi\)
\(8\) −0.796860 + 2.71386i −0.0996075 + 0.339232i
\(9\) −16.8426 + 10.8241i −1.87140 + 1.20267i
\(10\) 3.79078 5.96909i 0.379078 0.596909i
\(11\) 7.06002 + 3.22420i 0.641820 + 0.293109i 0.709615 0.704590i \(-0.248869\pi\)
−0.0677947 + 0.997699i \(0.521596\pi\)
\(12\) −9.80055 4.47576i −0.816712 0.372980i
\(13\) −8.22762 1.18295i −0.632894 0.0909964i −0.181601 0.983372i \(-0.558128\pi\)
−0.451293 + 0.892376i \(0.649037\pi\)
\(14\) −2.75197 4.28214i −0.196569 0.305867i
\(15\) 20.4513 + 17.5290i 1.36342 + 1.16860i
\(16\) −0.569259 3.95929i −0.0355787 0.247455i
\(17\) 5.32878 + 6.14974i 0.313458 + 0.361749i 0.890515 0.454954i \(-0.150344\pi\)
−0.577057 + 0.816704i \(0.695799\pi\)
\(18\) 15.3075 23.8190i 0.850419 1.32328i
\(19\) −0.222299 0.192623i −0.0117000 0.0101381i 0.648991 0.760796i \(-0.275191\pi\)
−0.660691 + 0.750658i \(0.729737\pi\)
\(20\) −1.36976 + 9.90574i −0.0684879 + 0.495287i
\(21\) 17.6376 8.05482i 0.839886 0.383563i
\(22\) −10.9763 −0.498922
\(23\) 22.9782 + 1.00077i 0.999053 + 0.0435117i
\(24\) 15.2370 0.634875
\(25\) 10.1395 22.8515i 0.405582 0.914059i
\(26\) 11.2791 3.31184i 0.433811 0.127379i
\(27\) 44.8689 + 38.8792i 1.66181 + 1.43997i
\(28\) 6.05586 + 3.89187i 0.216281 + 0.138995i
\(29\) 28.9297 + 33.3867i 0.997576 + 1.15126i 0.988487 + 0.151306i \(0.0483478\pi\)
0.00908931 + 0.999959i \(0.497107\pi\)
\(30\) −36.6068 10.5347i −1.22023 0.351156i
\(31\) 18.1340 + 5.32462i 0.584968 + 0.171762i 0.560808 0.827946i \(-0.310491\pi\)
0.0241600 + 0.999708i \(0.492309\pi\)
\(32\) 3.05833 + 4.75885i 0.0955727 + 0.148714i
\(33\) 5.95039 41.3858i 0.180315 1.25412i
\(34\) −10.4679 4.78053i −0.307879 0.140604i
\(35\) −11.8584 13.5371i −0.338811 0.386775i
\(36\) −5.69851 + 39.6340i −0.158292 + 1.10095i
\(37\) −52.5439 + 33.7679i −1.42010 + 0.912646i −0.420118 + 0.907470i \(0.638011\pi\)
−0.999987 + 0.00517620i \(0.998352\pi\)
\(38\) 0.399132 + 0.117196i 0.0105035 + 0.00308410i
\(39\) 6.37268 + 44.3230i 0.163402 + 1.13649i
\(40\) −4.05741 13.5476i −0.101435 0.338690i
\(41\) −8.04016 5.16710i −0.196101 0.126027i 0.438905 0.898533i \(-0.355366\pi\)
−0.635007 + 0.772507i \(0.719003\pi\)
\(42\) −17.9572 + 20.7237i −0.427552 + 0.493421i
\(43\) −60.1460 + 17.6605i −1.39875 + 0.410709i −0.892253 0.451536i \(-0.850876\pi\)
−0.506492 + 0.862245i \(0.669058\pi\)
\(44\) 14.1200 6.44841i 0.320910 0.146555i
\(45\) 41.0931 91.2807i 0.913181 2.02846i
\(46\) −30.1474 + 12.2120i −0.655379 + 0.265478i
\(47\) 58.0051i 1.23415i 0.786904 + 0.617075i \(0.211683\pi\)
−0.786904 + 0.617075i \(0.788317\pi\)
\(48\) −19.6011 + 8.95152i −0.408356 + 0.186490i
\(49\) 34.5849 10.1550i 0.705814 0.207246i
\(50\) 0.381262 + 35.3533i 0.00762523 + 0.707066i
\(51\) 23.6997 36.8774i 0.464699 0.723086i
\(52\) −12.5639 + 10.8867i −0.241614 + 0.209360i
\(53\) 0.703015 + 4.88958i 0.0132644 + 0.0922562i 0.995378 0.0960321i \(-0.0306152\pi\)
−0.982114 + 0.188288i \(0.939706\pi\)
\(54\) −80.5610 23.6548i −1.49187 0.438052i
\(55\) −38.3817 + 5.72985i −0.697849 + 0.104179i
\(56\) −10.0768 1.44882i −0.179942 0.0258718i
\(57\) −0.658259 + 1.44139i −0.0115484 + 0.0252875i
\(58\) −56.8298 25.9533i −0.979824 0.447470i
\(59\) −8.37099 + 58.2215i −0.141881 + 0.986805i 0.787139 + 0.616776i \(0.211562\pi\)
−0.929020 + 0.370029i \(0.879348\pi\)
\(60\) 53.2805 7.95404i 0.888009 0.132567i
\(61\) 12.1732 41.4580i 0.199560 0.679639i −0.797521 0.603291i \(-0.793856\pi\)
0.997081 0.0763478i \(-0.0243259\pi\)
\(62\) −26.4560 + 3.80379i −0.426709 + 0.0613515i
\(63\) −47.1900 54.4601i −0.749047 0.864446i
\(64\) −6.73003 4.32513i −0.105157 0.0675801i
\(65\) 37.7117 17.4687i 0.580180 0.268750i
\(66\) 16.6589 + 56.7351i 0.252408 + 0.859623i
\(67\) −21.6692 47.4488i −0.323420 0.708191i 0.676172 0.736744i \(-0.263638\pi\)
−0.999592 + 0.0285523i \(0.990910\pi\)
\(68\) 16.2745 0.239331
\(69\) −29.7017 120.291i −0.430459 1.74334i
\(70\) 23.2077 + 10.4477i 0.331538 + 0.149253i
\(71\) 56.7112 + 124.180i 0.798749 + 1.74902i 0.649705 + 0.760186i \(0.274892\pi\)
0.149044 + 0.988831i \(0.452380\pi\)
\(72\) −15.9538 54.3336i −0.221580 0.754633i
\(73\) 91.9978 + 79.7165i 1.26024 + 1.09201i 0.991678 + 0.128746i \(0.0410951\pi\)
0.268566 + 0.963261i \(0.413450\pi\)
\(74\) 47.7550 74.3082i 0.645338 1.00417i
\(75\) −133.506 17.7279i −1.78007 0.236373i
\(76\) −0.582300 + 0.0837222i −0.00766185 + 0.00110161i
\(77\) −7.87039 + 26.8041i −0.102213 + 0.348105i
\(78\) −34.2370 53.2739i −0.438936 0.682998i
\(79\) −85.7511 12.3291i −1.08546 0.156065i −0.423714 0.905796i \(-0.639274\pi\)
−0.661743 + 0.749731i \(0.730183\pi\)
\(80\) 13.1785 + 15.0442i 0.164732 + 0.188052i
\(81\) 58.0107 127.026i 0.716182 1.56822i
\(82\) 13.3786 + 1.92355i 0.163153 + 0.0234579i
\(83\) −27.5754 + 17.7217i −0.332234 + 0.213514i −0.696113 0.717932i \(-0.745089\pi\)
0.363879 + 0.931446i \(0.381452\pi\)
\(84\) 10.9255 37.2088i 0.130065 0.442962i
\(85\) −39.0995 11.2520i −0.459994 0.132377i
\(86\) 66.9974 58.0536i 0.779040 0.675042i
\(87\) 128.664 200.206i 1.47890 2.30122i
\(88\) −14.3759 + 16.5906i −0.163362 + 0.188530i
\(89\) −40.0230 136.306i −0.449697 1.53153i −0.802977 0.596010i \(-0.796752\pi\)
0.353280 0.935517i \(-0.385066\pi\)
\(90\) 0.763327 + 141.566i 0.00848142 + 1.57296i
\(91\) 29.9183i 0.328772i
\(92\) 31.6077 33.4208i 0.343562 0.363270i
\(93\) 101.814i 1.09477i
\(94\) −34.0771 74.6185i −0.362523 0.793814i
\(95\) 1.45686 + 0.201453i 0.0153354 + 0.00212056i
\(96\) 19.9562 23.0307i 0.207877 0.239903i
\(97\) 65.0108 + 41.7799i 0.670214 + 0.430721i 0.831003 0.556268i \(-0.187767\pi\)
−0.160788 + 0.986989i \(0.551404\pi\)
\(98\) −38.5245 + 33.3817i −0.393108 + 0.340630i
\(99\) −153.808 + 22.1142i −1.55361 + 0.223376i
\(100\) −21.2600 45.2550i −0.212600 0.452550i
\(101\) −117.861 + 75.7445i −1.16694 + 0.749945i −0.972940 0.231057i \(-0.925782\pi\)
−0.193997 + 0.981002i \(0.562145\pi\)
\(102\) −8.82264 + 61.3628i −0.0864965 + 0.601596i
\(103\) −34.4495 + 75.4339i −0.334461 + 0.732368i −0.999901 0.0140838i \(-0.995517\pi\)
0.665440 + 0.746452i \(0.268244\pi\)
\(104\) 9.76663 21.3859i 0.0939099 0.205634i
\(105\) −51.9741 + 81.8402i −0.494992 + 0.779431i
\(106\) −3.77692 5.87701i −0.0356314 0.0554435i
\(107\) −4.19154 1.23075i −0.0391733 0.0115023i 0.262087 0.965044i \(-0.415589\pi\)
−0.301260 + 0.953542i \(0.597407\pi\)
\(108\) 117.532 16.8985i 1.08826 0.156468i
\(109\) −94.5443 + 81.9231i −0.867379 + 0.751588i −0.969993 0.243133i \(-0.921825\pi\)
0.102614 + 0.994721i \(0.467279\pi\)
\(110\) 46.0085 29.9196i 0.418259 0.271997i
\(111\) 254.289 + 220.343i 2.29089 + 1.98507i
\(112\) 13.8140 4.05617i 0.123340 0.0362158i
\(113\) 36.1992 + 79.2652i 0.320347 + 0.701462i 0.999470 0.0325625i \(-0.0103668\pi\)
−0.679123 + 0.734025i \(0.737640\pi\)
\(114\) 2.24094i 0.0196574i
\(115\) −99.0441 + 58.4402i −0.861253 + 0.508176i
\(116\) 88.3538 0.761671
\(117\) 151.379 69.1323i 1.29383 0.590875i
\(118\) −23.4357 79.8148i −0.198608 0.676397i
\(119\) −19.1799 + 22.1348i −0.161176 + 0.186007i
\(120\) −63.8679 + 41.5337i −0.532233 + 0.346114i
\(121\) −39.7897 45.9198i −0.328841 0.379503i
\(122\) 8.69623 + 60.4836i 0.0712806 + 0.495767i
\(123\) −14.5054 + 49.4008i −0.117930 + 0.401633i
\(124\) 31.7986 20.4357i 0.256441 0.164804i
\(125\) 19.7883 + 123.424i 0.158307 + 0.987390i
\(126\) 92.7004 + 42.3348i 0.735717 + 0.335991i
\(127\) 60.5193 + 27.6382i 0.476530 + 0.217624i 0.639176 0.769060i \(-0.279276\pi\)
−0.162646 + 0.986685i \(0.552003\pi\)
\(128\) 11.1986 + 1.61011i 0.0874887 + 0.0125790i
\(129\) 182.570 + 284.084i 1.41527 + 2.20220i
\(130\) −38.2502 + 44.6271i −0.294233 + 0.343285i
\(131\) −13.1836 91.6940i −0.100638 0.699954i −0.976204 0.216855i \(-0.930420\pi\)
0.875566 0.483099i \(-0.160489\pi\)
\(132\) −54.7613 63.1979i −0.414858 0.478772i
\(133\) 0.572385 0.890648i 0.00430365 0.00669660i
\(134\) 55.7510 + 48.3085i 0.416052 + 0.360511i
\(135\) −294.053 40.6613i −2.17817 0.301195i
\(136\) −20.9358 + 9.56106i −0.153940 + 0.0703019i
\(137\) −250.229 −1.82649 −0.913244 0.407414i \(-0.866431\pi\)
−0.913244 + 0.407414i \(0.866431\pi\)
\(138\) 108.878 + 137.294i 0.788968 + 0.994885i
\(139\) 13.3801 0.0962596 0.0481298 0.998841i \(-0.484674\pi\)
0.0481298 + 0.998841i \(0.484674\pi\)
\(140\) −35.9926 + 0.194072i −0.257090 + 0.00138623i
\(141\) 299.821 88.0354i 2.12639 0.624365i
\(142\) −145.908 126.430i −1.02752 0.890353i
\(143\) −54.2731 34.8792i −0.379532 0.243911i
\(144\) 52.4433 + 60.5228i 0.364190 + 0.420298i
\(145\) −212.270 61.0867i −1.46393 0.421288i
\(146\) −165.180 48.5011i −1.13137 0.332199i
\(147\) −104.980 163.353i −0.714152 1.11124i
\(148\) −17.7777 + 123.647i −0.120120 + 0.835450i
\(149\) 98.5276 + 44.9960i 0.661259 + 0.301987i 0.717632 0.696423i \(-0.245226\pi\)
−0.0563727 + 0.998410i \(0.517953\pi\)
\(150\) 182.158 55.6271i 1.21439 0.370847i
\(151\) −23.1672 + 161.131i −0.153425 + 1.06710i 0.756998 + 0.653417i \(0.226665\pi\)
−0.910423 + 0.413678i \(0.864244\pi\)
\(152\) 0.699894 0.449794i 0.00460456 0.00295917i
\(153\) −156.315 45.8984i −1.02167 0.299989i
\(154\) −5.62244 39.1049i −0.0365093 0.253928i
\(155\) −90.5251 + 27.1116i −0.584033 + 0.174914i
\(156\) 75.3406 + 48.4185i 0.482953 + 0.310375i
\(157\) 195.528 225.651i 1.24540 1.43727i 0.388776 0.921332i \(-0.372898\pi\)
0.856626 0.515938i \(-0.172557\pi\)
\(158\) 117.555 34.5171i 0.744017 0.218463i
\(159\) 24.2067 11.0548i 0.152243 0.0695271i
\(160\) −25.7913 11.6108i −0.161195 0.0725676i
\(161\) 8.20484 + 82.3765i 0.0509617 + 0.511655i
\(162\) 197.488i 1.21906i
\(163\) 14.3033 6.53209i 0.0877502 0.0400742i −0.371056 0.928610i \(-0.621004\pi\)
0.458807 + 0.888536i \(0.348277\pi\)
\(164\) −18.3404 + 5.38524i −0.111832 + 0.0328368i
\(165\) 87.8696 + 189.694i 0.532543 + 1.14966i
\(166\) 25.0622 38.9975i 0.150977 0.234925i
\(167\) 181.460 157.236i 1.08659 0.941535i 0.0880802 0.996113i \(-0.471927\pi\)
0.998510 + 0.0545780i \(0.0173814\pi\)
\(168\) 7.80493 + 54.2845i 0.0464579 + 0.323122i
\(169\) −95.8599 28.1470i −0.567218 0.166550i
\(170\) 56.9085 8.49565i 0.334756 0.0499744i
\(171\) 5.82906 + 0.838092i 0.0340881 + 0.00490112i
\(172\) −52.0808 + 114.041i −0.302795 + 0.663029i
\(173\) −11.4004 5.20638i −0.0658982 0.0300947i 0.382193 0.924082i \(-0.375169\pi\)
−0.448091 + 0.893988i \(0.647896\pi\)
\(174\) −47.8977 + 333.136i −0.275274 + 1.91458i
\(175\) 86.6062 + 24.4186i 0.494892 + 0.139535i
\(176\) 8.74656 29.7880i 0.0496964 0.169250i
\(177\) 313.645 45.0953i 1.77201 0.254776i
\(178\) 131.564 + 151.833i 0.739123 + 0.852994i
\(179\) 47.1729 + 30.3162i 0.263536 + 0.169364i 0.665736 0.746188i \(-0.268118\pi\)
−0.402200 + 0.915552i \(0.631754\pi\)
\(180\) −84.1502 181.665i −0.467501 1.00925i
\(181\) −47.6380 162.240i −0.263193 0.896354i −0.979986 0.199068i \(-0.936209\pi\)
0.716792 0.697287i \(-0.245610\pi\)
\(182\) 17.5766 + 38.4873i 0.0965745 + 0.211469i
\(183\) −232.767 −1.27195
\(184\) −21.0264 + 61.5621i −0.114274 + 0.334577i
\(185\) 128.198 284.769i 0.692965 1.53929i
\(186\) 59.8141 + 130.975i 0.321581 + 0.704165i
\(187\) 17.7933 + 60.5983i 0.0951512 + 0.324055i
\(188\) 87.6746 + 75.9705i 0.466354 + 0.404098i
\(189\) −115.530 + 179.769i −0.611271 + 0.951157i
\(190\) −1.99247 + 0.596731i −0.0104867 + 0.00314069i
\(191\) 237.845 34.1969i 1.24526 0.179041i 0.511998 0.858987i \(-0.328906\pi\)
0.733263 + 0.679945i \(0.237996\pi\)
\(192\) −12.1418 + 41.3510i −0.0632383 + 0.215370i
\(193\) 56.2954 + 87.5973i 0.291686 + 0.453872i 0.955909 0.293662i \(-0.0948740\pi\)
−0.664223 + 0.747534i \(0.731238\pi\)
\(194\) −108.176 15.5533i −0.557608 0.0801719i
\(195\) −147.530 168.415i −0.756562 0.863665i
\(196\) 29.9472 65.5753i 0.152792 0.334568i
\(197\) 156.726 + 22.5338i 0.795563 + 0.114385i 0.528099 0.849183i \(-0.322905\pi\)
0.267464 + 0.963568i \(0.413814\pi\)
\(198\) 184.869 118.808i 0.933681 0.600040i
\(199\) 96.6345 329.107i 0.485600 1.65380i −0.243883 0.969805i \(-0.578421\pi\)
0.729483 0.683998i \(-0.239761\pi\)
\(200\) 53.9358 + 45.7267i 0.269679 + 0.228633i
\(201\) −212.370 + 184.019i −1.05657 + 0.915519i
\(202\) 107.119 166.680i 0.530291 0.825149i
\(203\) −104.127 + 120.169i −0.512941 + 0.591965i
\(204\) −24.7002 84.1212i −0.121079 0.412359i
\(205\) 47.7861 0.257663i 0.233103 0.00125689i
\(206\) 117.278i 0.569310i
\(207\) −397.845 + 231.862i −1.92195 + 1.12011i
\(208\) 33.2489i 0.159851i
\(209\) −0.948381 2.07666i −0.00453771 0.00993619i
\(210\) 18.7803 135.814i 0.0894300 0.646736i
\(211\) −236.864 + 273.356i −1.12258 + 1.29552i −0.171981 + 0.985100i \(0.555017\pi\)
−0.950598 + 0.310425i \(0.899529\pi\)
\(212\) 8.31135 + 5.34138i 0.0392045 + 0.0251952i
\(213\) 555.801 481.604i 2.60939 2.26105i
\(214\) 6.11510 0.879219i 0.0285752 0.00410850i
\(215\) 203.970 237.975i 0.948699 1.10686i
\(216\) −141.267 + 90.7866i −0.654012 + 0.420308i
\(217\) −9.68102 + 67.3330i −0.0446130 + 0.310290i
\(218\) 73.4944 160.930i 0.337131 0.738213i
\(219\) 272.418 596.513i 1.24392 2.72380i
\(220\) −41.6087 + 65.5184i −0.189130 + 0.297811i
\(221\) −36.5683 56.9014i −0.165468 0.257473i
\(222\) −456.569 134.061i −2.05662 0.603878i
\(223\) −95.3450 + 13.7085i −0.427556 + 0.0614733i −0.352734 0.935724i \(-0.614748\pi\)
−0.0748221 + 0.997197i \(0.523839\pi\)
\(224\) −15.3876 + 13.3335i −0.0686948 + 0.0595244i
\(225\) 76.5698 + 494.629i 0.340310 + 2.19835i
\(226\) −93.1344 80.7014i −0.412099 0.357086i
\(227\) 158.558 46.5568i 0.698493 0.205096i 0.0868403 0.996222i \(-0.472323\pi\)
0.611653 + 0.791126i \(0.290505\pi\)
\(228\) 1.31652 + 2.88277i 0.00577421 + 0.0126437i
\(229\) 116.593i 0.509139i −0.967054 0.254569i \(-0.918066\pi\)
0.967054 0.254569i \(-0.0819338\pi\)
\(230\) 93.0790 133.365i 0.404691 0.579849i
\(231\) 150.492 0.651482
\(232\) −113.660 + 51.9066i −0.489912 + 0.223735i
\(233\) 102.590 + 349.389i 0.440299 + 1.49952i 0.818886 + 0.573956i \(0.194592\pi\)
−0.378587 + 0.925566i \(0.623590\pi\)
\(234\) −154.121 + 177.866i −0.658638 + 0.760109i
\(235\) −158.113 243.136i −0.672820 1.03462i
\(236\) 77.0381 + 88.9067i 0.326433 + 0.376723i
\(237\) 66.4183 + 461.949i 0.280246 + 1.94915i
\(238\) 11.6694 39.7425i 0.0490313 0.166985i
\(239\) −148.242 + 95.2691i −0.620258 + 0.398615i −0.812691 0.582695i \(-0.801998\pi\)
0.192434 + 0.981310i \(0.438362\pi\)
\(240\) 57.7601 90.9510i 0.240667 0.378963i
\(241\) −138.311 63.1643i −0.573903 0.262093i 0.107252 0.994232i \(-0.465795\pi\)
−0.681155 + 0.732139i \(0.738522\pi\)
\(242\) 78.1633 + 35.6960i 0.322989 + 0.147504i
\(243\) −215.733 31.0177i −0.887790 0.127645i
\(244\) −46.7202 72.6981i −0.191476 0.297943i
\(245\) −117.286 + 136.839i −0.478719 + 0.558528i
\(246\) −10.3623 72.0716i −0.0421233 0.292974i
\(247\) 1.60113 + 1.84780i 0.00648231 + 0.00748098i
\(248\) −28.9005 + 44.9701i −0.116534 + 0.181331i
\(249\) 133.453 + 115.638i 0.535955 + 0.464408i
\(250\) −97.9657 147.149i −0.391863 0.588595i
\(251\) −4.11203 + 1.87790i −0.0163826 + 0.00748168i −0.423589 0.905854i \(-0.639230\pi\)
0.407207 + 0.913336i \(0.366503\pi\)
\(252\) −144.122 −0.571913
\(253\) 159.000 + 81.1519i 0.628459 + 0.320758i
\(254\) −94.0900 −0.370433
\(255\) 1.18181 + 219.178i 0.00463455 + 0.859522i
\(256\) −15.3519 + 4.50772i −0.0599683 + 0.0176083i
\(257\) −332.663 288.254i −1.29441 1.12161i −0.985345 0.170571i \(-0.945439\pi\)
−0.309064 0.951041i \(-0.600016\pi\)
\(258\) −401.755 258.193i −1.55719 1.00075i
\(259\) −147.219 169.900i −0.568412 0.655983i
\(260\) 22.9879 79.8804i 0.0884149 0.307232i
\(261\) −848.630 249.180i −3.25146 0.954714i
\(262\) 70.8284 + 110.211i 0.270338 + 0.420653i
\(263\) 28.2859 196.733i 0.107551 0.748034i −0.862662 0.505781i \(-0.831204\pi\)
0.970213 0.242253i \(-0.0778865\pi\)
\(264\) 107.574 + 49.1272i 0.407476 + 0.186088i
\(265\) −16.2750 18.5790i −0.0614151 0.0701094i
\(266\) −0.213081 + 1.48201i −0.000801056 + 0.00557147i
\(267\) −643.805 + 413.748i −2.41126 + 1.54962i
\(268\) −100.099 29.3918i −0.373505 0.109671i
\(269\) −20.3318 141.411i −0.0755828 0.525690i −0.992076 0.125640i \(-0.959902\pi\)
0.916493 0.400050i \(-0.131007\pi\)
\(270\) 402.161 120.444i 1.48949 0.446090i
\(271\) 281.235 + 180.739i 1.03777 + 0.666932i 0.944433 0.328703i \(-0.106611\pi\)
0.0933333 + 0.995635i \(0.470248\pi\)
\(272\) 21.3151 24.5990i 0.0783644 0.0904373i
\(273\) −154.644 + 45.4076i −0.566462 + 0.166328i
\(274\) 321.898 147.006i 1.17481 0.536517i
\(275\) 145.263 128.640i 0.528230 0.467782i
\(276\) −220.720 112.653i −0.799710 0.408163i
\(277\) 32.7051i 0.118069i 0.998256 + 0.0590345i \(0.0188022\pi\)
−0.998256 + 0.0590345i \(0.981198\pi\)
\(278\) −17.2123 + 7.86060i −0.0619148 + 0.0282755i
\(279\) −363.057 + 106.603i −1.30128 + 0.382090i
\(280\) 46.1873 21.3948i 0.164955 0.0764099i
\(281\) 69.5817 108.271i 0.247622 0.385307i −0.695086 0.718927i \(-0.744634\pi\)
0.942708 + 0.333620i \(0.108270\pi\)
\(282\) −333.975 + 289.391i −1.18431 + 1.02621i
\(283\) 24.2500 + 168.662i 0.0856890 + 0.595980i 0.986745 + 0.162278i \(0.0518841\pi\)
−0.901056 + 0.433703i \(0.857207\pi\)
\(284\) 261.974 + 76.9226i 0.922444 + 0.270854i
\(285\) −1.16982 7.83608i −0.00410462 0.0274950i
\(286\) 90.3087 + 12.9844i 0.315765 + 0.0454001i
\(287\) 14.2902 31.2912i 0.0497917 0.109029i
\(288\) −103.020 47.0477i −0.357709 0.163360i
\(289\) 31.7056 220.517i 0.109708 0.763035i
\(290\) 308.954 46.1225i 1.06536 0.159043i
\(291\) 117.287 399.443i 0.403048 1.37266i
\(292\) 240.983 34.6481i 0.825284 0.118658i
\(293\) −133.145 153.658i −0.454421 0.524430i 0.481592 0.876396i \(-0.340059\pi\)
−0.936013 + 0.351966i \(0.885513\pi\)
\(294\) 231.016 + 148.465i 0.785767 + 0.504982i
\(295\) −123.615 266.861i −0.419033 0.904614i
\(296\) −49.7711 169.505i −0.168146 0.572651i
\(297\) 191.421 + 419.154i 0.644516 + 1.41129i
\(298\) −153.182 −0.514033
\(299\) −187.872 35.4161i −0.628335 0.118449i
\(300\) −201.651 + 178.575i −0.672169 + 0.595249i
\(301\) −93.7274 205.234i −0.311387 0.681842i
\(302\) −64.8598 220.892i −0.214767 0.731431i
\(303\) 570.394 + 494.249i 1.88249 + 1.63118i
\(304\) −0.636105 + 0.989799i −0.00209245 + 0.00325592i
\(305\) 61.9826 + 206.959i 0.203222 + 0.678553i
\(306\) 228.051 32.7888i 0.745265 0.107153i
\(307\) 11.8395 40.3217i 0.0385652 0.131341i −0.937960 0.346742i \(-0.887288\pi\)
0.976526 + 0.215401i \(0.0691060\pi\)
\(308\) 30.2064 + 47.0020i 0.0980726 + 0.152604i
\(309\) 442.193 + 63.5778i 1.43105 + 0.205753i
\(310\) 100.525 88.0589i 0.324274 0.284061i
\(311\) −181.848 + 398.192i −0.584721 + 1.28036i 0.353859 + 0.935299i \(0.384869\pi\)
−0.938580 + 0.345061i \(0.887858\pi\)
\(312\) −125.364 18.0247i −0.401809 0.0577714i
\(313\) −262.557 + 168.735i −0.838840 + 0.539090i −0.888076 0.459697i \(-0.847958\pi\)
0.0492354 + 0.998787i \(0.484322\pi\)
\(314\) −118.963 + 405.151i −0.378863 + 1.29029i
\(315\) 346.253 + 99.6442i 1.09922 + 0.316331i
\(316\) −130.946 + 113.465i −0.414385 + 0.359066i
\(317\) 144.253 224.462i 0.455057 0.708083i −0.535598 0.844473i \(-0.679914\pi\)
0.990655 + 0.136390i \(0.0435501\pi\)
\(318\) −24.6452 + 28.4421i −0.0775008 + 0.0894407i
\(319\) 96.5990 + 328.986i 0.302818 + 1.03130i
\(320\) 39.9994 0.215677i 0.124998 0.000673992i
\(321\) 23.5335i 0.0733131i
\(322\) −58.9498 101.150i −0.183074 0.314131i
\(323\) 2.39353i 0.00741031i
\(324\) −116.021 254.052i −0.358091 0.784110i
\(325\) −110.457 + 176.019i −0.339866 + 0.541596i
\(326\) −14.5624 + 16.8059i −0.0446701 + 0.0515520i
\(327\) 566.942 + 364.352i 1.73377 + 1.11423i
\(328\) 20.4296 17.7024i 0.0622855 0.0539707i
\(329\) −206.653 + 29.7122i −0.628125 + 0.0903107i
\(330\) −224.479 192.403i −0.680240 0.583039i
\(331\) −8.33511 + 5.35665i −0.0251816 + 0.0161832i −0.553171 0.833068i \(-0.686582\pi\)
0.527989 + 0.849251i \(0.322946\pi\)
\(332\) −9.32987 + 64.8907i −0.0281020 + 0.195454i
\(333\) 519.468 1137.48i 1.55996 3.41584i
\(334\) −141.059 + 308.877i −0.422333 + 0.924780i
\(335\) 220.167 + 139.821i 0.657216 + 0.417377i
\(336\) −41.9317 65.2470i −0.124797 0.194188i
\(337\) 322.396 + 94.6640i 0.956665 + 0.280902i 0.722559 0.691309i \(-0.242966\pi\)
0.234106 + 0.972211i \(0.424784\pi\)
\(338\) 139.851 20.1076i 0.413762 0.0594900i
\(339\) 354.772 307.412i 1.04653 0.906820i
\(340\) −68.2169 + 44.3619i −0.200638 + 0.130476i
\(341\) 110.859 + 96.0596i 0.325099 + 0.281700i
\(342\) −7.99095 + 2.34635i −0.0233654 + 0.00686069i
\(343\) 127.160 + 278.441i 0.370728 + 0.811782i
\(344\) 177.301i 0.515409i
\(345\) 452.392 + 423.251i 1.31128 + 1.22682i
\(346\) 17.7243 0.0512263
\(347\) −332.112 + 151.670i −0.957094 + 0.437090i −0.831828 0.555033i \(-0.812706\pi\)
−0.125266 + 0.992123i \(0.539978\pi\)
\(348\) −134.096 456.690i −0.385334 1.31233i
\(349\) 425.706 491.291i 1.21979 1.40771i 0.334673 0.942334i \(-0.391374\pi\)
0.885114 0.465375i \(-0.154081\pi\)
\(350\) −125.757 + 19.4675i −0.359306 + 0.0556214i
\(351\) −323.172 372.961i −0.920719 1.06257i
\(352\) 6.24835 + 43.4582i 0.0177510 + 0.123461i
\(353\) −51.4810 + 175.328i −0.145839 + 0.496681i −0.999717 0.0237921i \(-0.992426\pi\)
0.853878 + 0.520473i \(0.174244\pi\)
\(354\) −376.984 + 242.273i −1.06493 + 0.684387i
\(355\) −576.208 365.932i −1.62312 1.03079i
\(356\) −258.445 118.028i −0.725970 0.331539i
\(357\) 143.522 + 65.5443i 0.402022 + 0.183597i
\(358\) −78.4942 11.2858i −0.219258 0.0315245i
\(359\) 275.701 + 429.000i 0.767970 + 1.19499i 0.976193 + 0.216904i \(0.0695958\pi\)
−0.208223 + 0.978081i \(0.566768\pi\)
\(360\) 214.977 + 184.259i 0.597159 + 0.511830i
\(361\) −51.3633 357.240i −0.142281 0.989584i
\(362\) 156.596 + 180.721i 0.432585 + 0.499230i
\(363\) −176.964 + 275.362i −0.487505 + 0.758573i
\(364\) −45.2215 39.1846i −0.124235 0.107650i
\(365\) −602.916 83.3706i −1.65182 0.228413i
\(366\) 299.434 136.747i 0.818126 0.373626i
\(367\) 222.308 0.605744 0.302872 0.953031i \(-0.402055\pi\)
0.302872 + 0.953031i \(0.402055\pi\)
\(368\) −9.11824 91.5470i −0.0247778 0.248769i
\(369\) 191.346 0.518553
\(370\) 2.38136 + 441.646i 0.00643610 + 1.19364i
\(371\) −17.0599 + 5.00923i −0.0459835 + 0.0135020i
\(372\) −153.891 133.348i −0.413687 0.358461i
\(373\) −455.975 293.037i −1.22245 0.785623i −0.239754 0.970834i \(-0.577067\pi\)
−0.982699 + 0.185211i \(0.940703\pi\)
\(374\) −58.4902 67.5013i −0.156391 0.180485i
\(375\) 607.929 289.606i 1.62115 0.772283i
\(376\) −157.417 46.2219i −0.418663 0.122931i
\(377\) −198.528 308.915i −0.526599 0.819404i
\(378\) 43.0083 299.129i 0.113779 0.791347i
\(379\) 74.5746 + 34.0571i 0.196767 + 0.0898603i 0.511361 0.859366i \(-0.329141\pi\)
−0.314595 + 0.949226i \(0.601869\pi\)
\(380\) 2.21257 1.93819i 0.00582256 0.00510051i
\(381\) 51.0074 354.764i 0.133878 0.931140i
\(382\) −285.877 + 183.722i −0.748368 + 0.480947i
\(383\) 212.922 + 62.5195i 0.555932 + 0.163236i 0.547617 0.836729i \(-0.315535\pi\)
0.00831496 + 0.999965i \(0.497353\pi\)
\(384\) −8.67381 60.3277i −0.0225880 0.157103i
\(385\) −40.0740 133.806i −0.104088 0.347549i
\(386\) −123.881 79.6137i −0.320936 0.206253i
\(387\) 821.856 948.472i 2.12366 2.45083i
\(388\) 148.296 43.5437i 0.382207 0.112226i
\(389\) −450.900 + 205.919i −1.15913 + 0.529355i −0.899743 0.436419i \(-0.856246\pi\)
−0.259383 + 0.965775i \(0.583519\pi\)
\(390\) 288.725 + 129.980i 0.740321 + 0.333281i
\(391\) 116.291 + 146.643i 0.297420 + 0.375046i
\(392\) 101.951i 0.260078i
\(393\) −453.946 + 207.310i −1.15508 + 0.527507i
\(394\) −214.853 + 63.0864i −0.545311 + 0.160118i
\(395\) 393.044 182.065i 0.995049 0.460924i
\(396\) −168.020 + 261.444i −0.424293 + 0.660212i
\(397\) 171.725 148.801i 0.432557 0.374813i −0.411194 0.911548i \(-0.634888\pi\)
0.843751 + 0.536735i \(0.180343\pi\)
\(398\) 69.0336 + 480.139i 0.173451 + 1.20638i
\(399\) −5.47238 1.60683i −0.0137152 0.00402715i
\(400\) −96.2475 27.1369i −0.240619 0.0678423i
\(401\) −160.705 23.1058i −0.400760 0.0576206i −0.0610117 0.998137i \(-0.519433\pi\)
−0.339748 + 0.940516i \(0.610342\pi\)
\(402\) 165.087 361.489i 0.410663 0.899227i
\(403\) −142.901 65.2607i −0.354593 0.161937i
\(404\) −39.8770 + 277.350i −0.0987054 + 0.686511i
\(405\) 103.093 + 690.574i 0.254551 + 1.70512i
\(406\) 63.3529 215.760i 0.156042 0.531429i
\(407\) −479.835 + 68.9899i −1.17896 + 0.169508i
\(408\) 81.1946 + 93.7036i 0.199006 + 0.229666i
\(409\) −110.641 71.1045i −0.270515 0.173850i 0.398350 0.917234i \(-0.369583\pi\)
−0.668865 + 0.743384i \(0.733219\pi\)
\(410\) −61.3213 + 28.4051i −0.149564 + 0.0692807i
\(411\) 379.777 + 1293.40i 0.924032 + 3.14697i
\(412\) 68.8990 + 150.868i 0.167231 + 0.366184i
\(413\) −211.712 −0.512620
\(414\) 375.577 531.999i 0.907191 1.28502i
\(415\) 67.2796 149.449i 0.162119 0.360118i
\(416\) −19.5333 42.7719i −0.0469549 0.102817i
\(417\) −20.3072 69.1600i −0.0486984 0.165851i
\(418\) 2.44002 + 2.11429i 0.00583737 + 0.00505811i
\(419\) −106.521 + 165.750i −0.254226 + 0.395584i −0.944784 0.327693i \(-0.893729\pi\)
0.690558 + 0.723277i \(0.257365\pi\)
\(420\) 55.6298 + 185.747i 0.132452 + 0.442254i
\(421\) 55.2921 7.94980i 0.131335 0.0188831i −0.0763338 0.997082i \(-0.524321\pi\)
0.207669 + 0.978199i \(0.433412\pi\)
\(422\) 144.113 490.803i 0.341499 1.16304i
\(423\) −627.850 976.954i −1.48428 2.30958i
\(424\) −13.8298 1.98843i −0.0326175 0.00468969i
\(425\) 194.562 59.4149i 0.457793 0.139800i
\(426\) −432.054 + 946.067i −1.01421 + 2.22082i
\(427\) 153.937 + 22.1328i 0.360507 + 0.0518331i
\(428\) −7.35003 + 4.72357i −0.0171730 + 0.0110364i
\(429\) −97.9151 + 333.468i −0.228240 + 0.777315i
\(430\) −122.583 + 425.964i −0.285078 + 0.990614i
\(431\) −121.406 + 105.199i −0.281685 + 0.244081i −0.784231 0.620469i \(-0.786942\pi\)
0.502546 + 0.864551i \(0.332397\pi\)
\(432\) 128.392 199.781i 0.297203 0.462457i
\(433\) −234.218 + 270.302i −0.540918 + 0.624253i −0.958743 0.284275i \(-0.908247\pi\)
0.417825 + 0.908528i \(0.362793\pi\)
\(434\) −27.1033 92.3055i −0.0624501 0.212686i
\(435\) 6.41600 + 1189.91i 0.0147494 + 2.73542i
\(436\) 250.200i 0.573853i
\(437\) −4.91527 4.64861i −0.0112478 0.0106376i
\(438\) 927.404i 2.11736i
\(439\) 201.343 + 440.879i 0.458639 + 1.00428i 0.987796 + 0.155755i \(0.0497811\pi\)
−0.529157 + 0.848524i \(0.677492\pi\)
\(440\) 15.0348 108.728i 0.0341701 0.247110i
\(441\) −472.580 + 545.386i −1.07161 + 1.23670i
\(442\) 80.4708 + 51.7154i 0.182061 + 0.117003i
\(443\) −366.697 + 317.745i −0.827759 + 0.717257i −0.961810 0.273717i \(-0.911747\pi\)
0.134051 + 0.990974i \(0.457201\pi\)
\(444\) 666.096 95.7701i 1.50022 0.215698i
\(445\) 539.310 + 462.248i 1.21193 + 1.03876i
\(446\) 114.600 73.6487i 0.256950 0.165132i
\(447\) 83.0418 577.569i 0.185776 1.29210i
\(448\) 11.9617 26.1924i 0.0267001 0.0584651i
\(449\) 157.148 344.106i 0.349996 0.766383i −0.649984 0.759948i \(-0.725224\pi\)
0.999979 0.00643524i \(-0.00204842\pi\)
\(450\) −389.088 591.313i −0.864639 1.31403i
\(451\) −40.1039 62.4029i −0.0889222 0.138366i
\(452\) 167.220 + 49.1003i 0.369956 + 0.108629i
\(453\) 868.030 124.804i 1.91618 0.275505i
\(454\) −176.620 + 153.042i −0.389030 + 0.337097i
\(455\) 81.5526 + 125.406i 0.179237 + 0.275619i
\(456\) −3.38718 2.93501i −0.00742802 0.00643641i
\(457\) 365.148 107.217i 0.799012 0.234611i 0.143356 0.989671i \(-0.454211\pi\)
0.655655 + 0.755060i \(0.272392\pi\)
\(458\) 68.4966 + 149.987i 0.149556 + 0.327482i
\(459\) 483.111i 1.05253i
\(460\) −41.3879 + 226.246i −0.0899738 + 0.491838i
\(461\) 364.290 0.790218 0.395109 0.918634i \(-0.370707\pi\)
0.395109 + 0.918634i \(0.370707\pi\)
\(462\) −193.595 + 88.4120i −0.419038 + 0.191368i
\(463\) 71.8463 + 244.686i 0.155176 + 0.528479i 0.999978 0.00659857i \(-0.00210041\pi\)
−0.844803 + 0.535078i \(0.820282\pi\)
\(464\) 115.719 133.547i 0.249394 0.287816i
\(465\) 277.528 + 426.766i 0.596835 + 0.917776i
\(466\) −337.234 389.188i −0.723677 0.835168i
\(467\) −69.5819 483.952i −0.148998 1.03630i −0.917865 0.396893i \(-0.870089\pi\)
0.768867 0.639408i \(-0.220821\pi\)
\(468\) 93.7705 319.353i 0.200364 0.682378i
\(469\) 157.945 101.505i 0.336770 0.216429i
\(470\) 346.237 + 219.884i 0.736675 + 0.467839i
\(471\) −1463.12 668.186i −3.10642 1.41865i
\(472\) −151.334 69.1121i −0.320624 0.146424i
\(473\) −481.573 69.2398i −1.01813 0.146384i
\(474\) −356.830 555.238i −0.752806 1.17139i
\(475\) −6.65574 + 3.12675i −0.0140121 + 0.00658264i
\(476\) 8.33639 + 57.9809i 0.0175134 + 0.121809i
\(477\) −64.7657 74.7436i −0.135777 0.156695i
\(478\) 134.731 209.645i 0.281864 0.438588i
\(479\) −494.924 428.854i −1.03324 0.895311i −0.0386606 0.999252i \(-0.512309\pi\)
−0.994583 + 0.103941i \(0.966855\pi\)
\(480\) −20.8710 + 150.934i −0.0434813 + 0.314446i
\(481\) 472.257 215.673i 0.981823 0.448384i
\(482\) 215.033 0.446126
\(483\) 413.342 167.434i 0.855780 0.346655i
\(484\) −121.521 −0.251077
\(485\) −386.387 + 2.08340i −0.796674 + 0.00429567i
\(486\) 295.744 86.8384i 0.608528 0.178680i
\(487\) −14.1416 12.2537i −0.0290381 0.0251617i 0.640221 0.768191i \(-0.278843\pi\)
−0.669259 + 0.743029i \(0.733388\pi\)
\(488\) 102.811 + 66.0724i 0.210677 + 0.135394i
\(489\) −55.4720 64.0181i −0.113440 0.130916i
\(490\) 70.4873 244.936i 0.143852 0.499869i
\(491\) 549.323 + 161.296i 1.11878 + 0.328505i 0.788291 0.615303i \(-0.210966\pi\)
0.330494 + 0.943808i \(0.392785\pi\)
\(492\) 55.6713 + 86.6262i 0.113153 + 0.176070i
\(493\) −51.1592 + 355.820i −0.103771 + 0.721745i
\(494\) −3.14527 1.43640i −0.00636695 0.00290769i
\(495\) 584.426 511.951i 1.18066 1.03424i
\(496\) 10.7588 74.8288i 0.0216910 0.150864i
\(497\) −413.364 + 265.653i −0.831719 + 0.534513i
\(498\) −239.611 70.3562i −0.481147 0.141277i
\(499\) 115.814 + 805.502i 0.232092 + 1.61423i 0.689029 + 0.724734i \(0.258037\pi\)
−0.456937 + 0.889499i \(0.651053\pi\)
\(500\) 212.472 + 131.741i 0.424944 + 0.263481i
\(501\) −1088.14 699.307i −2.17194 1.39582i
\(502\) 4.18654 4.83152i 0.00833971 0.00962454i
\(503\) 87.1010 25.5752i 0.173163 0.0508452i −0.194002 0.981001i \(-0.562147\pi\)
0.367165 + 0.930156i \(0.380329\pi\)
\(504\) 185.401 84.6697i 0.367859 0.167995i
\(505\) 287.561 638.763i 0.569427 1.26488i
\(506\) −252.215 10.9847i −0.498449 0.0217089i
\(507\) 538.208i 1.06155i
\(508\) 121.039 55.2765i 0.238265 0.108812i
\(509\) −407.076 + 119.528i −0.799757 + 0.234830i −0.655978 0.754780i \(-0.727744\pi\)
−0.143779 + 0.989610i \(0.545925\pi\)
\(510\) −130.284 281.259i −0.255459 0.551489i
\(511\) −236.879 + 368.592i −0.463561 + 0.721314i
\(512\) 17.1007 14.8178i 0.0333997 0.0289410i
\(513\) −2.48530 17.2856i −0.00484463 0.0336952i
\(514\) 597.288 + 175.380i 1.16204 + 0.341205i
\(515\) −61.2215 410.095i −0.118877 0.796301i
\(516\) 668.508 + 96.1170i 1.29556 + 0.186273i
\(517\) −187.020 + 409.517i −0.361741 + 0.792102i
\(518\) 289.198 + 132.072i 0.558297 + 0.254966i
\(519\) −9.60857 + 66.8291i −0.0185136 + 0.128765i
\(520\) 17.3566 + 116.264i 0.0333781 + 0.223585i
\(521\) 87.8250 299.104i 0.168570 0.574097i −0.831264 0.555878i \(-0.812382\pi\)
0.999834 0.0182188i \(-0.00579956\pi\)
\(522\) 1238.08 178.009i 2.37180 0.341013i
\(523\) 197.976 + 228.477i 0.378540 + 0.436858i 0.912766 0.408484i \(-0.133942\pi\)
−0.534226 + 0.845342i \(0.679397\pi\)
\(524\) −155.862 100.167i −0.297447 0.191158i
\(525\) −5.22736 484.717i −0.00995687 0.923271i
\(526\) 79.1904 + 269.698i 0.150552 + 0.512733i
\(527\) 63.8870 + 139.893i 0.121228 + 0.265452i
\(528\) −167.246 −0.316753
\(529\) 526.997 + 45.9917i 0.996213 + 0.0869409i
\(530\) 31.8513 + 14.3389i 0.0600968 + 0.0270546i
\(531\) −489.204 1071.21i −0.921289 2.01734i
\(532\) −0.596549 2.03166i −0.00112133 0.00381891i
\(533\) 60.0390 + 52.0241i 0.112643 + 0.0976061i
\(534\) 585.129 910.478i 1.09575 1.70502i
\(535\) 20.9242 6.26665i 0.0391107 0.0117134i
\(536\) 146.037 20.9969i 0.272456 0.0391733i
\(537\) 85.1055 289.843i 0.158483 0.539744i
\(538\) 109.232 + 169.968i 0.203033 + 0.315926i
\(539\) 276.912 + 39.8139i 0.513751 + 0.0738663i
\(540\) −446.587 + 391.205i −0.827012 + 0.724454i
\(541\) −363.700 + 796.392i −0.672274 + 1.47207i 0.198353 + 0.980131i \(0.436441\pi\)
−0.870627 + 0.491944i \(0.836286\pi\)
\(542\) −467.966 67.2833i −0.863405 0.124139i
\(543\) −766.299 + 492.470i −1.41123 + 0.906943i
\(544\) −12.9685 + 44.1668i −0.0238392 + 0.0811889i
\(545\) 172.985 601.104i 0.317404 1.10294i
\(546\) 172.260 149.264i 0.315494 0.273377i
\(547\) 30.7890 47.9087i 0.0562871 0.0875844i −0.811969 0.583700i \(-0.801604\pi\)
0.868256 + 0.496116i \(0.165241\pi\)
\(548\) −327.730 + 378.221i −0.598047 + 0.690184i
\(549\) 243.716 + 830.021i 0.443928 + 1.51188i
\(550\) −111.294 + 250.824i −0.202354 + 0.456044i
\(551\) 12.9944i 0.0235833i
\(552\) 350.119 + 15.2487i 0.634274 + 0.0276245i
\(553\) 311.819i 0.563867i
\(554\) −19.2138 42.0723i −0.0346819 0.0759428i
\(555\) −1666.51 230.443i −3.00271 0.415213i
\(556\) 17.5242 20.2240i 0.0315183 0.0363741i
\(557\) −535.427 344.098i −0.961270 0.617771i −0.0369206 0.999318i \(-0.511755\pi\)
−0.924349 + 0.381548i \(0.875391\pi\)
\(558\) 404.414 350.427i 0.724756 0.628005i
\(559\) 515.750 74.1537i 0.922630 0.132654i
\(560\) −46.8469 + 54.6569i −0.0836552 + 0.0976017i
\(561\) 286.220 183.943i 0.510197 0.327884i
\(562\) −25.9031 + 180.160i −0.0460909 + 0.320569i
\(563\) 228.383 500.089i 0.405654 0.888258i −0.591012 0.806663i \(-0.701271\pi\)
0.996666 0.0815951i \(-0.0260014\pi\)
\(564\) 259.617 568.481i 0.460313 1.00795i
\(565\) −367.799 233.577i −0.650971 0.413411i
\(566\) −130.282 202.723i −0.230181 0.358168i
\(567\) 482.267 + 141.606i 0.850559 + 0.249747i
\(568\) −382.198 + 54.9518i −0.672884 + 0.0967461i
\(569\) −779.782 + 675.685i −1.37044 + 1.18750i −0.408985 + 0.912541i \(0.634117\pi\)
−0.961457 + 0.274954i \(0.911337\pi\)
\(570\) 6.10845 + 9.39319i 0.0107166 + 0.0164793i
\(571\) 207.868 + 180.119i 0.364042 + 0.315444i 0.817605 0.575780i \(-0.195302\pi\)
−0.453562 + 0.891225i \(0.649847\pi\)
\(572\) −123.803 + 36.3517i −0.216438 + 0.0635519i
\(573\) −537.742 1177.49i −0.938467 2.05496i
\(574\) 48.6488i 0.0847540i
\(575\) 255.858 514.939i 0.444970 0.895546i
\(576\) 160.166 0.278067
\(577\) 333.026 152.088i 0.577169 0.263584i −0.105370 0.994433i \(-0.533603\pi\)
0.682539 + 0.730849i \(0.260876\pi\)
\(578\) 88.7642 + 302.303i 0.153571 + 0.523016i
\(579\) 367.339 423.932i 0.634438 0.732180i
\(580\) −370.346 + 240.839i −0.638528 + 0.415239i
\(581\) −77.2616 89.1646i −0.132980 0.153467i
\(582\) 83.7873 + 582.754i 0.143965 + 1.00130i
\(583\) −10.8017 + 36.7872i −0.0185278 + 0.0630998i
\(584\) −289.648 + 186.146i −0.495973 + 0.318743i
\(585\) −446.080 + 702.412i −0.762529 + 1.20070i
\(586\) 261.552 + 119.447i 0.446334 + 0.203834i
\(587\) 25.3649 + 11.5837i 0.0432110 + 0.0197338i 0.436903 0.899508i \(-0.356075\pi\)
−0.393692 + 0.919242i \(0.628802\pi\)
\(588\) −384.403 55.2687i −0.653746 0.0939945i
\(589\) −3.00553 4.67669i −0.00510276 0.00794006i
\(590\) 315.797 + 270.672i 0.535249 + 0.458766i
\(591\) −121.392 844.298i −0.205400 1.42859i
\(592\) 163.608 + 188.813i 0.276365 + 0.318942i
\(593\) −193.247 + 300.698i −0.325881 + 0.507080i −0.965078 0.261963i \(-0.915630\pi\)
0.639197 + 0.769043i \(0.279267\pi\)
\(594\) −492.494 426.749i −0.829115 0.718432i
\(595\) 20.0591 145.062i 0.0337128 0.243802i
\(596\) 197.055 89.9921i 0.330629 0.150993i
\(597\) −1847.78 −3.09511
\(598\) 262.488 64.8125i 0.438943 0.108382i
\(599\) −522.010 −0.871469 −0.435735 0.900075i \(-0.643511\pi\)
−0.435735 + 0.900075i \(0.643511\pi\)
\(600\) 154.496 348.188i 0.257494 0.580313i
\(601\) 349.127 102.513i 0.580910 0.170571i 0.0219413 0.999759i \(-0.493015\pi\)
0.558969 + 0.829189i \(0.311197\pi\)
\(602\) 241.144 + 208.953i 0.400572 + 0.347098i
\(603\) 878.553 + 564.612i 1.45697 + 0.936338i
\(604\) 213.207 + 246.054i 0.352992 + 0.407375i
\(605\) 291.954 + 84.0182i 0.482569 + 0.138873i
\(606\) −1024.13 300.711i −1.68998 0.496222i
\(607\) −453.472 705.617i −0.747072 1.16247i −0.981710 0.190383i \(-0.939027\pi\)
0.234638 0.972083i \(-0.424609\pi\)
\(608\) 0.236802 1.64699i 0.000389477 0.00270887i
\(609\) 779.175 + 355.837i 1.27943 + 0.584297i
\(610\) −201.320 229.820i −0.330033 0.376755i
\(611\) 68.6173 477.244i 0.112303 0.781086i
\(612\) −274.105 + 176.157i −0.447884 + 0.287838i
\(613\) −142.447 41.8263i −0.232377 0.0682322i 0.163471 0.986548i \(-0.447731\pi\)
−0.395848 + 0.918316i \(0.629549\pi\)
\(614\) 8.45789 + 58.8259i 0.0137751 + 0.0958077i
\(615\) −73.8578 246.610i −0.120094 0.400991i
\(616\) −66.4709 42.7182i −0.107907 0.0693478i
\(617\) −567.119 + 654.490i −0.919155 + 1.06076i 0.0788027 + 0.996890i \(0.474890\pi\)
−0.997958 + 0.0638716i \(0.979655\pi\)
\(618\) −606.195 + 177.995i −0.980898 + 0.288018i
\(619\) −122.987 + 56.1664i −0.198687 + 0.0907373i −0.512274 0.858822i \(-0.671197\pi\)
0.313587 + 0.949560i \(0.398469\pi\)
\(620\) −77.5835 + 172.337i −0.125135 + 0.277963i
\(621\) 992.099 + 938.277i 1.59758 + 1.51091i
\(622\) 619.073i 0.995294i
\(623\) 465.112 212.410i 0.746569 0.340947i
\(624\) 171.860 50.4626i 0.275416 0.0808695i
\(625\) −419.379 463.407i −0.671007 0.741451i
\(626\) 238.628 371.312i 0.381194 0.593150i
\(627\) −9.29465 + 8.05386i −0.0148240 + 0.0128451i
\(628\) −84.9846 591.081i −0.135326 0.941212i
\(629\) −487.658 143.189i −0.775291 0.227646i
\(630\) −503.964 + 75.2348i −0.799943 + 0.119420i
\(631\) 1087.19 + 156.314i 1.72296 + 0.247724i 0.931564 0.363578i \(-0.118445\pi\)
0.791397 + 0.611303i \(0.209354\pi\)
\(632\) 101.791 222.892i 0.161062 0.352676i
\(633\) 1772.44 + 809.445i 2.80006 + 1.27874i
\(634\) −53.7009 + 373.498i −0.0847017 + 0.589113i
\(635\) −329.012 + 49.1169i −0.518130 + 0.0773495i
\(636\) 14.9946 51.0671i 0.0235765 0.0802941i
\(637\) −296.564 + 42.6395i −0.465564 + 0.0669380i
\(638\) −317.541 366.462i −0.497713 0.574391i
\(639\) −2299.30 1477.67i −3.59827 2.31247i
\(640\) −51.3291 + 23.7765i −0.0802017 + 0.0371508i
\(641\) 43.4882 + 148.107i 0.0678444 + 0.231057i 0.986435 0.164155i \(-0.0524896\pi\)
−0.918590 + 0.395211i \(0.870671\pi\)
\(642\) −13.8256 30.2738i −0.0215352 0.0471555i
\(643\) −504.411 −0.784466 −0.392233 0.919866i \(-0.628297\pi\)
−0.392233 + 0.919866i \(0.628297\pi\)
\(644\) 135.258 + 95.4887i 0.210028 + 0.148274i
\(645\) −1539.63 693.119i −2.38703 1.07460i
\(646\) 1.40616 + 3.07907i 0.00217673 + 0.00476636i
\(647\) 289.005 + 984.260i 0.446685 + 1.52127i 0.808204 + 0.588903i \(0.200440\pi\)
−0.361519 + 0.932365i \(0.617742\pi\)
\(648\) 298.503 + 258.655i 0.460653 + 0.399158i
\(649\) −246.817 + 384.055i −0.380304 + 0.591765i
\(650\) 38.6844 291.325i 0.0595145 0.448192i
\(651\) 362.729 52.1526i 0.557188 0.0801115i
\(652\) 8.86007 30.1746i 0.0135891 0.0462801i
\(653\) −133.172 207.220i −0.203939 0.317336i 0.724185 0.689605i \(-0.242216\pi\)
−0.928125 + 0.372270i \(0.878580\pi\)
\(654\) −943.374 135.637i −1.44247 0.207396i
\(655\) 305.204 + 348.411i 0.465961 + 0.531925i
\(656\) −15.8811 + 34.7747i −0.0242090 + 0.0530102i
\(657\) −2412.34 346.841i −3.67174 0.527917i
\(658\) 248.386 159.628i 0.377486 0.242596i
\(659\) −36.0227 + 122.682i −0.0546627 + 0.186164i −0.982299 0.187322i \(-0.940019\pi\)
0.927636 + 0.373486i \(0.121837\pi\)
\(660\) 401.807 + 115.632i 0.608798 + 0.175199i
\(661\) −472.289 + 409.241i −0.714507 + 0.619123i −0.934327 0.356417i \(-0.883998\pi\)
0.219820 + 0.975540i \(0.429453\pi\)
\(662\) 7.57545 11.7876i 0.0114433 0.0178061i
\(663\) −238.616 + 275.378i −0.359904 + 0.415351i
\(664\) −26.1203 88.9574i −0.0393377 0.133972i
\(665\) 0.0285426 + 5.29350i 4.29212e−5 + 0.00796015i
\(666\) 1768.45i 2.65532i
\(667\) 631.341 + 796.118i 0.946538 + 1.19358i
\(668\) 480.213i 0.718882i
\(669\) 215.565 + 472.021i 0.322220 + 0.705562i
\(670\) −365.369 50.5229i −0.545327 0.0754073i
\(671\) 219.612 253.445i 0.327290 0.377713i
\(672\) 92.2732 + 59.3004i 0.137311 + 0.0882447i
\(673\) 711.858 616.828i 1.05774 0.916535i 0.0610730 0.998133i \(-0.480548\pi\)
0.996665 + 0.0815978i \(0.0260023\pi\)
\(674\) −470.349 + 67.6259i −0.697847 + 0.100335i
\(675\) 1343.40 631.104i 1.99022 0.934969i
\(676\) −168.094 + 108.027i −0.248660 + 0.159804i
\(677\) −115.713 + 804.799i −0.170920 + 1.18877i 0.706027 + 0.708185i \(0.250486\pi\)
−0.876947 + 0.480588i \(0.840423\pi\)
\(678\) −275.784 + 603.883i −0.406761 + 0.890682i
\(679\) −115.547 + 253.013i −0.170173 + 0.372626i
\(680\) 61.6932 97.1441i 0.0907252 0.142859i
\(681\) −481.293 748.907i −0.706745 1.09972i
\(682\) −199.044 58.4445i −0.291853 0.0856958i
\(683\) 922.684 132.662i 1.35093 0.194234i 0.571437 0.820646i \(-0.306386\pi\)
0.779492 + 0.626412i \(0.215477\pi\)
\(684\) 8.90122 7.71295i 0.0130135 0.0112762i
\(685\) 1048.87 682.085i 1.53119 0.995744i
\(686\) −327.160 283.486i −0.476910 0.413245i
\(687\) −602.654 + 176.955i −0.877226 + 0.257577i
\(688\) 104.162 + 228.082i 0.151398 + 0.331514i
\(689\) 41.0612i 0.0595954i
\(690\) −830.617 278.703i −1.20379 0.403917i
\(691\) 898.771 1.30068 0.650341 0.759642i \(-0.274626\pi\)
0.650341 + 0.759642i \(0.274626\pi\)
\(692\) −22.8008 + 10.4128i −0.0329491 + 0.0150473i
\(693\) −157.572 536.640i −0.227376 0.774372i
\(694\) 338.129 390.222i 0.487218 0.562279i
\(695\) −56.0844 + 36.4720i −0.0806969 + 0.0524777i
\(696\) 440.802 + 508.713i 0.633337 + 0.730909i
\(697\) −11.0679 76.9792i −0.0158794 0.110444i
\(698\) −259.008 + 882.099i −0.371071 + 1.26375i
\(699\) 1650.25 1060.55i 2.36087 1.51724i
\(700\) 150.339 98.9236i 0.214769 0.141319i
\(701\) 946.840 + 432.407i 1.35070 + 0.616844i 0.953640 0.300949i \(-0.0973035\pi\)
0.397059 + 0.917793i \(0.370031\pi\)
\(702\) 634.843 + 289.923i 0.904334 + 0.412996i
\(703\) 18.1850 + 2.61460i 0.0258676 + 0.00371921i
\(704\) −33.5691 52.2345i −0.0476833 0.0741967i
\(705\) −1016.77 + 1186.28i −1.44223 + 1.68266i
\(706\) −36.7769 255.789i −0.0520919 0.362307i
\(707\) −330.225 381.100i −0.467079 0.539038i
\(708\) 342.626 533.136i 0.483935 0.753017i
\(709\) −824.957 714.830i −1.16355 1.00822i −0.999764 0.0217265i \(-0.993084\pi\)
−0.163787 0.986496i \(-0.552371\pi\)
\(710\) 956.222 + 132.226i 1.34679 + 0.186233i
\(711\) 1577.72 720.521i 2.21902 1.01339i
\(712\) 401.807 0.564336
\(713\) 411.358 + 140.498i 0.576940 + 0.197052i
\(714\) −223.135 −0.312514
\(715\) 322.568 1.73929i 0.451144 0.00243257i
\(716\) 107.606 31.5961i 0.150288 0.0441286i
\(717\) 717.424 + 621.651i 1.00059 + 0.867017i
\(718\) −606.697 389.901i −0.844982 0.543037i
\(719\) −96.6022 111.485i −0.134356 0.155055i 0.684584 0.728934i \(-0.259984\pi\)
−0.818941 + 0.573878i \(0.805438\pi\)
\(720\) −384.799 110.737i −0.534443 0.153801i
\(721\) −286.393 84.0924i −0.397216 0.116633i
\(722\) 275.948 + 429.383i 0.382199 + 0.594714i
\(723\) −116.572 + 810.777i −0.161234 + 1.12141i
\(724\) −307.618 140.485i −0.424887 0.194039i
\(725\) 1056.27 322.561i 1.45692 0.444912i
\(726\) 65.8782 458.193i 0.0907414 0.631120i
\(727\) 925.511 594.790i 1.27305 0.818142i 0.283040 0.959108i \(-0.408657\pi\)
0.990014 + 0.140966i \(0.0450207\pi\)
\(728\) 81.1939 + 23.8407i 0.111530 + 0.0327482i
\(729\) −11.7669 81.8405i −0.0161411 0.112264i
\(730\) 824.578 246.955i 1.12956 0.338295i
\(731\) −429.112 275.774i −0.587021 0.377255i
\(732\) −304.859 + 351.827i −0.416475 + 0.480637i
\(733\) 637.130 187.078i 0.869208 0.255223i 0.183430 0.983033i \(-0.441280\pi\)
0.685779 + 0.727810i \(0.259462\pi\)
\(734\) −285.980 + 130.603i −0.389619 + 0.177933i
\(735\) 885.313 + 398.554i 1.20451 + 0.542250i
\(736\) 65.5124 + 112.411i 0.0890114 + 0.152732i
\(737\) 404.855i 0.549329i
\(738\) −246.150 + 112.413i −0.333537 + 0.152321i
\(739\) 550.911 161.762i 0.745482 0.218893i 0.113136 0.993579i \(-0.463910\pi\)
0.632346 + 0.774686i \(0.282092\pi\)
\(740\) −262.524 566.740i −0.354762 0.765865i
\(741\) 7.12100 11.0805i 0.00960999 0.0149534i
\(742\) 19.0032 16.4664i 0.0256108 0.0221919i
\(743\) −25.4875 177.270i −0.0343035 0.238586i 0.965455 0.260571i \(-0.0839107\pi\)
−0.999758 + 0.0219844i \(0.993002\pi\)
\(744\) 276.308 + 81.1313i 0.371382 + 0.109047i
\(745\) −535.643 + 79.9641i −0.718984 + 0.107334i
\(746\) 758.727 + 109.089i 1.01706 + 0.146231i
\(747\) 272.621 596.956i 0.364954 0.799138i
\(748\) 114.899 + 52.4724i 0.153608 + 0.0701503i
\(749\) 2.23770 15.5635i 0.00298758 0.0207791i
\(750\) −611.909 + 729.703i −0.815879 + 0.972938i
\(751\) 155.193 528.538i 0.206648 0.703779i −0.789313 0.613991i \(-0.789563\pi\)
0.995961 0.0897877i \(-0.0286189\pi\)
\(752\) 229.659 33.0199i 0.305397 0.0439095i
\(753\) 15.9476 + 18.4045i 0.0211787 + 0.0244415i
\(754\) 436.872 + 280.761i 0.579406 + 0.372362i
\(755\) −342.111 738.554i −0.453127 0.978217i
\(756\) 120.408 + 410.071i 0.159269 + 0.542422i
\(757\) 442.908 + 969.833i 0.585083 + 1.28115i 0.938368 + 0.345637i \(0.112337\pi\)
−0.353285 + 0.935516i \(0.614935\pi\)
\(758\) −115.942 −0.152958
\(759\) 178.147 945.018i 0.234713 1.24508i
\(760\) −1.70763 + 3.79317i −0.00224688 + 0.00499102i
\(761\) 404.139 + 884.942i 0.531063 + 1.16287i 0.965078 + 0.261961i \(0.0843692\pi\)
−0.434015 + 0.900906i \(0.642904\pi\)
\(762\) 142.802 + 486.340i 0.187405 + 0.638241i
\(763\) −340.294 294.867i −0.445995 0.386457i
\(764\) 259.822 404.291i 0.340081 0.529176i
\(765\) 780.329 233.703i 1.02004 0.305494i
\(766\) −310.635 + 44.6626i −0.405529 + 0.0583063i
\(767\) 137.747 469.122i 0.179592 0.611633i
\(768\) 46.5997 + 72.5106i 0.0606767 + 0.0944149i
\(769\) 115.893 + 16.6629i 0.150706 + 0.0216683i 0.217255 0.976115i \(-0.430290\pi\)
−0.0665488 + 0.997783i \(0.521199\pi\)
\(770\) 130.161 + 148.587i 0.169040 + 0.192971i
\(771\) −985.063 + 2156.99i −1.27764 + 2.79765i
\(772\) 206.135 + 29.6377i 0.267014 + 0.0383908i
\(773\) 559.332 359.461i 0.723586 0.465021i −0.126296 0.991993i \(-0.540309\pi\)
0.849883 + 0.526972i \(0.176673\pi\)