Properties

Label 230.2.j.a.9.8
Level $230$
Weight $2$
Character 230.9
Analytic conductor $1.837$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(12\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 9.8
Character \(\chi\) \(=\) 230.9
Dual form 230.2.j.a.179.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.281733 + 0.959493i) q^{2} +(-1.78070 + 1.54299i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(-0.284267 - 2.21793i) q^{5} +(-1.98217 - 1.27386i) q^{6} +(-3.91611 - 1.78843i) q^{7} +(-0.755750 - 0.654861i) q^{8} +(0.363147 - 2.52574i) q^{9} +O(q^{10})\) \(q+(0.281733 + 0.959493i) q^{2} +(-1.78070 + 1.54299i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(-0.284267 - 2.21793i) q^{5} +(-1.98217 - 1.27386i) q^{6} +(-3.91611 - 1.78843i) q^{7} +(-0.755750 - 0.654861i) q^{8} +(0.363147 - 2.52574i) q^{9} +(2.04800 - 0.897613i) q^{10} +(-1.25450 - 0.368356i) q^{11} +(0.663820 - 2.26076i) q^{12} +(3.30504 - 1.50936i) q^{13} +(0.612689 - 4.26134i) q^{14} +(3.92843 + 3.51085i) q^{15} +(0.415415 - 0.909632i) q^{16} +(-2.01019 + 3.12792i) q^{17} +(2.52574 - 0.363147i) q^{18} +(-6.15283 + 3.95418i) q^{19} +(1.43824 + 1.71215i) q^{20} +(9.73296 - 2.85785i) q^{21} -1.30747i q^{22} +(-1.70861 - 4.48114i) q^{23} +2.35621 q^{24} +(-4.83839 + 1.26096i) q^{25} +(2.37936 + 2.74593i) q^{26} +(-0.571055 - 0.888580i) q^{27} +(4.26134 - 0.612689i) q^{28} +(-1.95209 - 1.25453i) q^{29} +(-2.26187 + 4.75842i) q^{30} +(3.09222 - 3.56861i) q^{31} +(0.989821 + 0.142315i) q^{32} +(2.80227 - 1.27975i) q^{33} +(-3.56755 - 1.04753i) q^{34} +(-2.85338 + 9.19404i) q^{35} +(1.06002 + 2.32112i) q^{36} +(-5.75617 - 0.827612i) q^{37} +(-5.52746 - 4.78957i) q^{38} +(-3.55637 + 7.78737i) q^{39} +(-1.23760 + 1.86235i) q^{40} +(0.430941 + 2.99726i) q^{41} +(5.48418 + 8.53356i) q^{42} +(-2.51557 + 2.17975i) q^{43} +(1.25450 - 0.368356i) q^{44} +(-5.70513 - 0.0874487i) q^{45} +(3.81826 - 2.90188i) q^{46} +5.43158i q^{47} +(0.663820 + 2.26076i) q^{48} +(7.55344 + 8.71714i) q^{49} +(-2.57302 - 4.28714i) q^{50} +(-1.24679 - 8.67159i) q^{51} +(-1.96436 + 3.05660i) q^{52} +(4.88892 + 2.23270i) q^{53} +(0.691701 - 0.798266i) q^{54} +(-0.460372 + 2.88711i) q^{55} +(1.78843 + 3.91611i) q^{56} +(4.85510 - 16.5350i) q^{57} +(0.653748 - 2.22646i) q^{58} +(2.87534 + 6.29611i) q^{59} +(-5.20291 - 0.829644i) q^{60} +(-6.18005 + 7.13216i) q^{61} +(4.29523 + 1.96157i) q^{62} +(-5.93923 + 9.24163i) q^{63} +(0.142315 + 0.989821i) q^{64} +(-4.28717 - 6.90128i) q^{65} +(2.01740 + 2.32821i) q^{66} +(-0.940726 - 3.20382i) q^{67} -3.71816i q^{68} +(9.95688 + 5.34322i) q^{69} +(-9.62551 - 0.147541i) q^{70} +(12.8774 - 3.78114i) q^{71} +(-1.92846 + 1.67102i) q^{72} +(-7.36715 - 11.4635i) q^{73} +(-0.827612 - 5.75617i) q^{74} +(6.67007 - 9.71097i) q^{75} +(3.03830 - 6.65294i) q^{76} +(4.25400 + 3.68611i) q^{77} +(-8.47387 - 1.21836i) q^{78} +(-6.84642 - 14.9916i) q^{79} +(-2.13558 - 0.662782i) q^{80} +(9.73300 + 2.85787i) q^{81} +(-2.75444 + 1.25791i) q^{82} +(9.90631 + 1.42431i) q^{83} +(-6.64281 + 7.66622i) q^{84} +(7.50892 + 3.56929i) q^{85} +(-2.80018 - 1.79956i) q^{86} +(5.41183 - 0.778103i) q^{87} +(0.706869 + 1.09991i) q^{88} +(-6.13634 - 7.08172i) q^{89} +(-1.52342 - 5.49867i) q^{90} -15.6423 q^{91} +(3.86006 + 2.84603i) q^{92} +11.1259i q^{93} +(-5.21156 + 1.53025i) q^{94} +(10.5191 + 12.5225i) q^{95} +(-1.98217 + 1.27386i) q^{96} +(4.82382 - 0.693560i) q^{97} +(-6.23598 + 9.70338i) q^{98} +(-1.38594 + 3.03478i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.281733 + 0.959493i 0.199215 + 0.678464i
\(3\) −1.78070 + 1.54299i −1.02809 + 0.890844i −0.994088 0.108577i \(-0.965370\pi\)
−0.0340012 + 0.999422i \(0.510825\pi\)
\(4\) −0.841254 + 0.540641i −0.420627 + 0.270320i
\(5\) −0.284267 2.21793i −0.127128 0.991886i
\(6\) −1.98217 1.27386i −0.809217 0.520052i
\(7\) −3.91611 1.78843i −1.48015 0.675963i −0.498543 0.866865i \(-0.666131\pi\)
−0.981609 + 0.190902i \(0.938859\pi\)
\(8\) −0.755750 0.654861i −0.267198 0.231528i
\(9\) 0.363147 2.52574i 0.121049 0.841913i
\(10\) 2.04800 0.897613i 0.647633 0.283850i
\(11\) −1.25450 0.368356i −0.378247 0.111063i 0.0870819 0.996201i \(-0.472246\pi\)
−0.465329 + 0.885138i \(0.654064\pi\)
\(12\) 0.663820 2.26076i 0.191628 0.652626i
\(13\) 3.30504 1.50936i 0.916654 0.418622i 0.0994977 0.995038i \(-0.468276\pi\)
0.817157 + 0.576416i \(0.195549\pi\)
\(14\) 0.612689 4.26134i 0.163748 1.13889i
\(15\) 3.92843 + 3.51085i 1.01432 + 0.906497i
\(16\) 0.415415 0.909632i 0.103854 0.227408i
\(17\) −2.01019 + 3.12792i −0.487543 + 0.758631i −0.994656 0.103248i \(-0.967076\pi\)
0.507113 + 0.861880i \(0.330713\pi\)
\(18\) 2.52574 0.363147i 0.595323 0.0855945i
\(19\) −6.15283 + 3.95418i −1.41156 + 0.907152i −0.999991 0.00422920i \(-0.998654\pi\)
−0.411564 + 0.911381i \(0.635017\pi\)
\(20\) 1.43824 + 1.71215i 0.321600 + 0.382849i
\(21\) 9.73296 2.85785i 2.12391 0.623635i
\(22\) 1.30747i 0.278753i
\(23\) −1.70861 4.48114i −0.356270 0.934383i
\(24\) 2.35621 0.480959
\(25\) −4.83839 + 1.26096i −0.967677 + 0.252193i
\(26\) 2.37936 + 2.74593i 0.466631 + 0.538521i
\(27\) −0.571055 0.888580i −0.109900 0.171007i
\(28\) 4.26134 0.612689i 0.805318 0.115787i
\(29\) −1.95209 1.25453i −0.362494 0.232961i 0.346697 0.937977i \(-0.387303\pi\)
−0.709191 + 0.705016i \(0.750940\pi\)
\(30\) −2.26187 + 4.75842i −0.412958 + 0.868764i
\(31\) 3.09222 3.56861i 0.555378 0.640941i −0.406749 0.913540i \(-0.633338\pi\)
0.962128 + 0.272599i \(0.0878832\pi\)
\(32\) 0.989821 + 0.142315i 0.174977 + 0.0251579i
\(33\) 2.80227 1.27975i 0.487812 0.222776i
\(34\) −3.56755 1.04753i −0.611830 0.179649i
\(35\) −2.85338 + 9.19404i −0.482310 + 1.55408i
\(36\) 1.06002 + 2.32112i 0.176670 + 0.386853i
\(37\) −5.75617 0.827612i −0.946308 0.136059i −0.348152 0.937438i \(-0.613191\pi\)
−0.598156 + 0.801379i \(0.704100\pi\)
\(38\) −5.52746 4.78957i −0.896673 0.776971i
\(39\) −3.55637 + 7.78737i −0.569475 + 1.24698i
\(40\) −1.23760 + 1.86235i −0.195681 + 0.294464i
\(41\) 0.430941 + 2.99726i 0.0673017 + 0.468093i 0.995404 + 0.0957675i \(0.0305305\pi\)
−0.928102 + 0.372326i \(0.878560\pi\)
\(42\) 5.48418 + 8.53356i 0.846228 + 1.31676i
\(43\) −2.51557 + 2.17975i −0.383621 + 0.332409i −0.825229 0.564799i \(-0.808954\pi\)
0.441608 + 0.897208i \(0.354408\pi\)
\(44\) 1.25450 0.368356i 0.189124 0.0555317i
\(45\) −5.70513 0.0874487i −0.850471 0.0130361i
\(46\) 3.81826 2.90188i 0.562971 0.427859i
\(47\) 5.43158i 0.792277i 0.918191 + 0.396138i \(0.129650\pi\)
−0.918191 + 0.396138i \(0.870350\pi\)
\(48\) 0.663820 + 2.26076i 0.0958142 + 0.326313i
\(49\) 7.55344 + 8.71714i 1.07906 + 1.24531i
\(50\) −2.57302 4.28714i −0.363879 0.606293i
\(51\) −1.24679 8.67159i −0.174585 1.21427i
\(52\) −1.96436 + 3.05660i −0.272407 + 0.423874i
\(53\) 4.88892 + 2.23270i 0.671545 + 0.306684i 0.721850 0.692050i \(-0.243292\pi\)
−0.0503049 + 0.998734i \(0.516019\pi\)
\(54\) 0.691701 0.798266i 0.0941286 0.108630i
\(55\) −0.460372 + 2.88711i −0.0620765 + 0.389297i
\(56\) 1.78843 + 3.91611i 0.238989 + 0.523313i
\(57\) 4.85510 16.5350i 0.643074 2.19011i
\(58\) 0.653748 2.22646i 0.0858414 0.292349i
\(59\) 2.87534 + 6.29611i 0.374337 + 0.819683i 0.999240 + 0.0389811i \(0.0124112\pi\)
−0.624903 + 0.780702i \(0.714862\pi\)
\(60\) −5.20291 0.829644i −0.671693 0.107107i
\(61\) −6.18005 + 7.13216i −0.791274 + 0.913179i −0.997869 0.0652474i \(-0.979216\pi\)
0.206595 + 0.978427i \(0.433762\pi\)
\(62\) 4.29523 + 1.96157i 0.545495 + 0.249119i
\(63\) −5.93923 + 9.24163i −0.748273 + 1.16434i
\(64\) 0.142315 + 0.989821i 0.0177894 + 0.123728i
\(65\) −4.28717 6.90128i −0.531758 0.855998i
\(66\) 2.01740 + 2.32821i 0.248325 + 0.286582i
\(67\) −0.940726 3.20382i −0.114928 0.391409i 0.881858 0.471514i \(-0.156292\pi\)
−0.996786 + 0.0801056i \(0.974474\pi\)
\(68\) 3.71816i 0.450893i
\(69\) 9.95688 + 5.34322i 1.19867 + 0.643248i
\(70\) −9.62551 0.147541i −1.15047 0.0176345i
\(71\) 12.8774 3.78114i 1.52826 0.448739i 0.593746 0.804653i \(-0.297648\pi\)
0.934519 + 0.355914i \(0.115830\pi\)
\(72\) −1.92846 + 1.67102i −0.227271 + 0.196931i
\(73\) −7.36715 11.4635i −0.862260 1.34170i −0.938738 0.344631i \(-0.888004\pi\)
0.0764786 0.997071i \(-0.475632\pi\)
\(74\) −0.827612 5.75617i −0.0962080 0.669141i
\(75\) 6.67007 9.71097i 0.770194 1.12133i
\(76\) 3.03830 6.65294i 0.348516 0.763144i
\(77\) 4.25400 + 3.68611i 0.484788 + 0.420072i
\(78\) −8.47387 1.21836i −0.959477 0.137952i
\(79\) −6.84642 14.9916i −0.770282 1.68668i −0.726030 0.687663i \(-0.758637\pi\)
−0.0442519 0.999020i \(-0.514090\pi\)
\(80\) −2.13558 0.662782i −0.238766 0.0741012i
\(81\) 9.73300 + 2.85787i 1.08144 + 0.317541i
\(82\) −2.75444 + 1.25791i −0.304177 + 0.138913i
\(83\) 9.90631 + 1.42431i 1.08736 + 0.156339i 0.662604 0.748970i \(-0.269451\pi\)
0.424755 + 0.905308i \(0.360360\pi\)
\(84\) −6.64281 + 7.66622i −0.724790 + 0.836453i
\(85\) 7.50892 + 3.56929i 0.814456 + 0.387144i
\(86\) −2.80018 1.79956i −0.301951 0.194052i
\(87\) 5.41183 0.778103i 0.580209 0.0834214i
\(88\) 0.706869 + 1.09991i 0.0753525 + 0.117251i
\(89\) −6.13634 7.08172i −0.650451 0.750660i 0.330735 0.943724i \(-0.392703\pi\)
−0.981186 + 0.193063i \(0.938158\pi\)
\(90\) −1.52342 5.49867i −0.160582 0.579611i
\(91\) −15.6423 −1.63976
\(92\) 3.86006 + 2.84603i 0.402439 + 0.296720i
\(93\) 11.1259i 1.15370i
\(94\) −5.21156 + 1.53025i −0.537531 + 0.157833i
\(95\) 10.5191 + 12.5225i 1.07924 + 1.28478i
\(96\) −1.98217 + 1.27386i −0.202304 + 0.130013i
\(97\) 4.82382 0.693560i 0.489784 0.0704203i 0.107002 0.994259i \(-0.465875\pi\)
0.382783 + 0.923838i \(0.374966\pi\)
\(98\) −6.23598 + 9.70338i −0.629929 + 0.980189i
\(99\) −1.38594 + 3.03478i −0.139292 + 0.305007i
\(100\) 3.38858 3.67662i 0.338858 0.367662i
\(101\) −0.244633 + 1.70146i −0.0243419 + 0.169301i −0.998366 0.0571427i \(-0.981801\pi\)
0.974024 + 0.226444i \(0.0727101\pi\)
\(102\) 7.96907 3.63935i 0.789055 0.360350i
\(103\) −3.10262 + 10.5665i −0.305710 + 1.04115i 0.653139 + 0.757238i \(0.273452\pi\)
−0.958849 + 0.283915i \(0.908367\pi\)
\(104\) −3.48621 1.02364i −0.341851 0.100376i
\(105\) −9.10526 20.7746i −0.888583 2.02739i
\(106\) −0.764887 + 5.31991i −0.0742924 + 0.516715i
\(107\) 11.8399 + 10.2593i 1.14460 + 0.991806i 0.999997 + 0.00231658i \(0.000737390\pi\)
0.144607 + 0.989489i \(0.453808\pi\)
\(108\) 0.960805 + 0.438785i 0.0924535 + 0.0422221i
\(109\) −12.3075 7.90955i −1.17885 0.757598i −0.203672 0.979039i \(-0.565287\pi\)
−0.975174 + 0.221441i \(0.928924\pi\)
\(110\) −2.89986 + 0.371669i −0.276491 + 0.0354372i
\(111\) 11.5270 7.40797i 1.09410 0.703133i
\(112\) −3.25362 + 2.81928i −0.307439 + 0.266397i
\(113\) −2.42346 8.25354i −0.227980 0.776428i −0.991439 0.130572i \(-0.958319\pi\)
0.763459 0.645856i \(-0.223499\pi\)
\(114\) 17.2330 1.61402
\(115\) −9.45314 + 5.06341i −0.881510 + 0.472165i
\(116\) 2.32046 0.215449
\(117\) −2.61204 8.89580i −0.241483 0.822417i
\(118\) −5.23100 + 4.53268i −0.481552 + 0.417267i
\(119\) 13.4662 8.65420i 1.23444 0.793329i
\(120\) −0.669791 5.22589i −0.0611433 0.477056i
\(121\) −7.81570 5.02284i −0.710518 0.456622i
\(122\) −8.58438 3.92035i −0.777193 0.354932i
\(123\) −5.39211 4.67229i −0.486191 0.421286i
\(124\) −0.672003 + 4.67388i −0.0603476 + 0.419727i
\(125\) 4.17211 + 10.3727i 0.373165 + 0.927765i
\(126\) −10.5405 3.09498i −0.939027 0.275723i
\(127\) 1.77591 6.04819i 0.157586 0.536690i −0.842411 0.538835i \(-0.818865\pi\)
0.999998 + 0.00214510i \(0.000682807\pi\)
\(128\) −0.909632 + 0.415415i −0.0804009 + 0.0367178i
\(129\) 1.11615 7.76299i 0.0982714 0.683493i
\(130\) 5.41389 6.05782i 0.474830 0.531306i
\(131\) −3.36642 + 7.37143i −0.294125 + 0.644045i −0.997787 0.0664903i \(-0.978820\pi\)
0.703662 + 0.710535i \(0.251547\pi\)
\(132\) −1.66553 + 2.59162i −0.144966 + 0.225571i
\(133\) 31.1669 4.48113i 2.70252 0.388563i
\(134\) 2.80901 1.80524i 0.242661 0.155949i
\(135\) −1.80847 + 1.51915i −0.155648 + 0.130748i
\(136\) 3.56755 1.04753i 0.305915 0.0898247i
\(137\) 1.57636i 0.134678i −0.997730 0.0673389i \(-0.978549\pi\)
0.997730 0.0673389i \(-0.0214509\pi\)
\(138\) −2.32161 + 11.0589i −0.197628 + 0.941397i
\(139\) 7.81443 0.662812 0.331406 0.943488i \(-0.392477\pi\)
0.331406 + 0.943488i \(0.392477\pi\)
\(140\) −2.57025 9.27717i −0.217226 0.784064i
\(141\) −8.38085 9.67202i −0.705795 0.814531i
\(142\) 7.25596 + 11.2905i 0.608907 + 0.947477i
\(143\) −4.70217 + 0.676070i −0.393215 + 0.0565358i
\(144\) −2.14664 1.37956i −0.178886 0.114963i
\(145\) −2.22755 + 4.68622i −0.184988 + 0.389169i
\(146\) 8.92359 10.2984i 0.738522 0.852299i
\(147\) −26.9009 3.86776i −2.21875 0.319008i
\(148\) 5.28984 2.41579i 0.434822 0.198577i
\(149\) −13.5818 3.98799i −1.11267 0.326709i −0.326794 0.945096i \(-0.605968\pi\)
−0.785874 + 0.618387i \(0.787787\pi\)
\(150\) 11.1968 + 3.66399i 0.914214 + 0.299164i
\(151\) −3.59910 7.88093i −0.292890 0.641341i 0.704790 0.709416i \(-0.251041\pi\)
−0.997680 + 0.0680756i \(0.978314\pi\)
\(152\) 7.23943 + 1.04087i 0.587196 + 0.0844260i
\(153\) 7.17031 + 6.21311i 0.579685 + 0.502300i
\(154\) −2.33831 + 5.12018i −0.188426 + 0.412596i
\(155\) −8.79392 5.84387i −0.706345 0.469391i
\(156\) −1.21836 8.47387i −0.0975468 0.678453i
\(157\) −7.84285 12.2037i −0.625927 0.973962i −0.998935 0.0461338i \(-0.985310\pi\)
0.373008 0.927828i \(-0.378326\pi\)
\(158\) 12.4554 10.7927i 0.990902 0.858621i
\(159\) −12.1507 + 3.56778i −0.963616 + 0.282943i
\(160\) 0.0342706 2.23581i 0.00270933 0.176756i
\(161\) −1.32310 + 20.6044i −0.104275 + 1.62385i
\(162\) 10.1439i 0.796980i
\(163\) 1.26950 + 4.32352i 0.0994349 + 0.338644i 0.994152 0.107989i \(-0.0344411\pi\)
−0.894717 + 0.446633i \(0.852623\pi\)
\(164\) −1.98297 2.28847i −0.154844 0.178700i
\(165\) −3.63499 5.85143i −0.282983 0.455533i
\(166\) 1.42431 + 9.90631i 0.110548 + 0.768879i
\(167\) 0.494968 0.770186i 0.0383018 0.0595988i −0.821575 0.570101i \(-0.806904\pi\)
0.859876 + 0.510502i \(0.170540\pi\)
\(168\) −9.22718 4.21391i −0.711892 0.325110i
\(169\) 0.131948 0.152276i 0.0101499 0.0117136i
\(170\) −1.30920 + 8.21034i −0.100411 + 0.629704i
\(171\) 7.75286 + 16.9764i 0.592876 + 1.29822i
\(172\) 0.937768 3.19374i 0.0715041 0.243521i
\(173\) −3.71057 + 12.6370i −0.282109 + 0.960776i 0.689520 + 0.724267i \(0.257822\pi\)
−0.971629 + 0.236509i \(0.923997\pi\)
\(174\) 2.27127 + 4.97339i 0.172185 + 0.377032i
\(175\) 21.2028 + 3.71503i 1.60278 + 0.280830i
\(176\) −0.856208 + 0.988116i −0.0645391 + 0.0744821i
\(177\) −14.8349 6.77489i −1.11506 0.509232i
\(178\) 5.06605 7.88293i 0.379716 0.590850i
\(179\) −0.708769 4.92960i −0.0529759 0.368455i −0.999014 0.0443996i \(-0.985863\pi\)
0.946038 0.324056i \(-0.105047\pi\)
\(180\) 4.84674 3.01086i 0.361255 0.224416i
\(181\) 4.82808 + 5.57190i 0.358868 + 0.414156i 0.906260 0.422720i \(-0.138925\pi\)
−0.547392 + 0.836876i \(0.684379\pi\)
\(182\) −4.40695 15.0087i −0.326665 1.11252i
\(183\) 22.2360i 1.64373i
\(184\) −1.64324 + 4.50552i −0.121142 + 0.332152i
\(185\) −0.199296 + 13.0020i −0.0146525 + 0.955927i
\(186\) −10.6752 + 3.13452i −0.782744 + 0.229834i
\(187\) 3.67398 3.18352i 0.268668 0.232802i
\(188\) −2.93653 4.56933i −0.214169 0.333253i
\(189\) 0.647156 + 4.50107i 0.0470737 + 0.327405i
\(190\) −9.05164 + 13.6210i −0.656675 + 0.988172i
\(191\) 9.03003 19.7730i 0.653390 1.43072i −0.235165 0.971955i \(-0.575563\pi\)
0.888555 0.458769i \(-0.151710\pi\)
\(192\) −1.78070 1.54299i −0.128511 0.111356i
\(193\) 4.41957 + 0.635438i 0.318127 + 0.0457398i 0.299529 0.954087i \(-0.403170\pi\)
0.0185985 + 0.999827i \(0.494080\pi\)
\(194\) 2.02449 + 4.43302i 0.145350 + 0.318272i
\(195\) 18.2828 + 5.67408i 1.30926 + 0.406329i
\(196\) −11.0672 3.24962i −0.790514 0.232116i
\(197\) −8.24566 + 3.76567i −0.587479 + 0.268293i −0.686899 0.726753i \(-0.741029\pi\)
0.0994199 + 0.995046i \(0.468301\pi\)
\(198\) −3.30232 0.474802i −0.234686 0.0337427i
\(199\) −4.76383 + 5.49775i −0.337699 + 0.389725i −0.899045 0.437856i \(-0.855738\pi\)
0.561346 + 0.827581i \(0.310284\pi\)
\(200\) 4.48236 + 2.21550i 0.316951 + 0.156659i
\(201\) 6.61861 + 4.25352i 0.466840 + 0.300020i
\(202\) −1.70146 + 0.244633i −0.119714 + 0.0172123i
\(203\) 5.40097 + 8.40408i 0.379074 + 0.589851i
\(204\) 5.73708 + 6.62094i 0.401676 + 0.463559i
\(205\) 6.52520 1.80782i 0.455740 0.126263i
\(206\) −11.0126 −0.767287
\(207\) −11.9387 + 2.68819i −0.829796 + 0.186842i
\(208\) 3.63339i 0.251930i
\(209\) 9.17529 2.69411i 0.634668 0.186355i
\(210\) 17.3678 14.5893i 1.19849 1.00676i
\(211\) −20.4414 + 13.1369i −1.40724 + 0.904381i −0.999960 0.00892008i \(-0.997161\pi\)
−0.407284 + 0.913301i \(0.633524\pi\)
\(212\) −5.31991 + 0.764887i −0.365373 + 0.0525327i
\(213\) −17.0965 + 26.6027i −1.17144 + 1.82279i
\(214\) −6.50806 + 14.2507i −0.444882 + 0.974156i
\(215\) 5.54962 + 4.95971i 0.378481 + 0.338250i
\(216\) −0.150321 + 1.04551i −0.0102280 + 0.0711376i
\(217\) −18.4917 + 8.44487i −1.25530 + 0.573275i
\(218\) 4.12174 14.0373i 0.279159 0.950729i
\(219\) 30.8068 + 9.04568i 2.08173 + 0.611250i
\(220\) −1.17360 2.67768i −0.0791240 0.180529i
\(221\) −1.92260 + 13.3720i −0.129328 + 0.899499i
\(222\) 10.3554 + 8.97303i 0.695011 + 0.602230i
\(223\) −17.7521 8.10713i −1.18877 0.542894i −0.279924 0.960022i \(-0.590309\pi\)
−0.908847 + 0.417129i \(0.863036\pi\)
\(224\) −3.62173 2.32755i −0.241987 0.155516i
\(225\) 1.42782 + 12.6784i 0.0951882 + 0.845228i
\(226\) 7.23645 4.65058i 0.481361 0.309352i
\(227\) 5.08672 4.40767i 0.337618 0.292547i −0.469507 0.882929i \(-0.655568\pi\)
0.807124 + 0.590382i \(0.201023\pi\)
\(228\) 4.85510 + 16.5350i 0.321537 + 1.09505i
\(229\) 19.3357 1.27774 0.638870 0.769315i \(-0.279402\pi\)
0.638870 + 0.769315i \(0.279402\pi\)
\(230\) −7.52156 7.64370i −0.495957 0.504010i
\(231\) −13.2627 −0.872624
\(232\) 0.653748 + 2.22646i 0.0429207 + 0.146174i
\(233\) 6.37223 5.52157i 0.417459 0.361730i −0.420660 0.907219i \(-0.638201\pi\)
0.838118 + 0.545489i \(0.183656\pi\)
\(234\) 7.79956 5.01247i 0.509873 0.327676i
\(235\) 12.0468 1.54402i 0.785848 0.100720i
\(236\) −5.82282 3.74210i −0.379033 0.243590i
\(237\) 35.3232 + 16.1316i 2.29449 + 1.04786i
\(238\) 12.0975 + 10.4825i 0.784165 + 0.679483i
\(239\) 2.70204 18.7931i 0.174780 1.21562i −0.693835 0.720134i \(-0.744080\pi\)
0.868615 0.495488i \(-0.165011\pi\)
\(240\) 4.82550 2.11496i 0.311485 0.136520i
\(241\) 3.65232 + 1.07242i 0.235267 + 0.0690806i 0.397241 0.917714i \(-0.369968\pi\)
−0.161974 + 0.986795i \(0.551786\pi\)
\(242\) 2.61745 8.91420i 0.168256 0.573027i
\(243\) −18.8588 + 8.61253i −1.20979 + 0.552494i
\(244\) 1.34305 9.34114i 0.0859802 0.598005i
\(245\) 17.1868 19.2310i 1.09802 1.22862i
\(246\) 2.96390 6.49003i 0.188971 0.413789i
\(247\) −14.3671 + 22.3556i −0.914155 + 1.42245i
\(248\) −4.67388 + 0.672003i −0.296792 + 0.0426722i
\(249\) −19.8379 + 12.7490i −1.25718 + 0.807938i
\(250\) −8.77714 + 6.92545i −0.555115 + 0.438004i
\(251\) −23.4540 + 6.88672i −1.48041 + 0.434686i −0.919466 0.393170i \(-0.871378\pi\)
−0.560940 + 0.827857i \(0.689560\pi\)
\(252\) 10.9855i 0.692024i
\(253\) 0.492803 + 6.25099i 0.0309823 + 0.392996i
\(254\) 6.30353 0.395518
\(255\) −18.8785 + 5.23032i −1.18222 + 0.327535i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) −12.9947 20.2202i −0.810590 1.26130i −0.962059 0.272840i \(-0.912037\pi\)
0.151470 0.988462i \(-0.451599\pi\)
\(258\) 7.76299 1.11615i 0.483302 0.0694884i
\(259\) 21.0617 + 13.5355i 1.30871 + 0.841057i
\(260\) 7.33771 + 3.48791i 0.455065 + 0.216311i
\(261\) −3.87752 + 4.47490i −0.240013 + 0.276989i
\(262\) −8.02127 1.15328i −0.495555 0.0712501i
\(263\) 8.75091 3.99641i 0.539604 0.246429i −0.126919 0.991913i \(-0.540509\pi\)
0.666524 + 0.745484i \(0.267782\pi\)
\(264\) −2.95587 0.867922i −0.181921 0.0534169i
\(265\) 3.56220 11.4779i 0.218824 0.705084i
\(266\) 13.0804 + 28.6420i 0.802008 + 1.75615i
\(267\) 21.8540 + 3.14213i 1.33744 + 0.192295i
\(268\) 2.52350 + 2.18663i 0.154148 + 0.133570i
\(269\) −2.16155 + 4.73314i −0.131792 + 0.288585i −0.964011 0.265863i \(-0.914343\pi\)
0.832219 + 0.554448i \(0.187070\pi\)
\(270\) −1.96712 1.30722i −0.119715 0.0795549i
\(271\) 0.765162 + 5.32182i 0.0464803 + 0.323277i 0.999775 + 0.0212343i \(0.00675960\pi\)
−0.953294 + 0.302043i \(0.902331\pi\)
\(272\) 2.01019 + 3.12792i 0.121886 + 0.189658i
\(273\) 27.8543 24.1359i 1.68582 1.46077i
\(274\) 1.51251 0.444113i 0.0913740 0.0268298i
\(275\) 6.53426 + 0.200362i 0.394030 + 0.0120823i
\(276\) −11.2650 + 0.888090i −0.678075 + 0.0534567i
\(277\) 8.06429i 0.484536i 0.970209 + 0.242268i \(0.0778913\pi\)
−0.970209 + 0.242268i \(0.922109\pi\)
\(278\) 2.20158 + 7.49789i 0.132042 + 0.449694i
\(279\) −7.89045 9.10606i −0.472389 0.545166i
\(280\) 8.17726 5.07982i 0.488685 0.303577i
\(281\) −0.847911 5.89735i −0.0505822 0.351807i −0.999357 0.0358538i \(-0.988585\pi\)
0.948775 0.315953i \(-0.102324\pi\)
\(282\) 6.91908 10.7663i 0.412025 0.641124i
\(283\) −29.5406 13.4907i −1.75600 0.801941i −0.986596 0.163184i \(-0.947823\pi\)
−0.769409 0.638756i \(-0.779449\pi\)
\(284\) −8.78891 + 10.1429i −0.521526 + 0.601873i
\(285\) −38.0534 6.06792i −2.25409 0.359432i
\(286\) −1.97344 4.32123i −0.116692 0.255520i
\(287\) 3.67277 12.5083i 0.216797 0.738343i
\(288\) 0.718901 2.44835i 0.0423616 0.144270i
\(289\) 1.31905 + 2.88833i 0.0775915 + 0.169902i
\(290\) −5.12397 0.817056i −0.300890 0.0479792i
\(291\) −7.51963 + 8.67811i −0.440808 + 0.508720i
\(292\) 12.3953 + 5.66074i 0.725379 + 0.331269i
\(293\) −6.81660 + 10.6068i −0.398230 + 0.619658i −0.981236 0.192810i \(-0.938240\pi\)
0.583006 + 0.812468i \(0.301876\pi\)
\(294\) −3.86776 26.9009i −0.225572 1.56889i
\(295\) 13.1469 8.16705i 0.765444 0.475504i
\(296\) 3.80825 + 4.39496i 0.221350 + 0.255452i
\(297\) 0.389078 + 1.32508i 0.0225766 + 0.0768888i
\(298\) 14.1552i 0.819991i
\(299\) −12.4107 12.2315i −0.717729 0.707364i
\(300\) −0.361076 + 11.7755i −0.0208468 + 0.679859i
\(301\) 13.7496 4.03724i 0.792513 0.232703i
\(302\) 6.54771 5.67362i 0.376778 0.326480i
\(303\) −2.18971 3.40726i −0.125796 0.195742i
\(304\) 1.04087 + 7.23943i 0.0596982 + 0.415210i
\(305\) 17.5754 + 11.6795i 1.00636 + 0.668764i
\(306\) −3.94133 + 8.63030i −0.225311 + 0.493361i
\(307\) −9.29366 8.05300i −0.530417 0.459609i 0.348006 0.937492i \(-0.386859\pi\)
−0.878423 + 0.477883i \(0.841404\pi\)
\(308\) −5.57156 0.801069i −0.317469 0.0456451i
\(309\) −10.7792 23.6032i −0.613208 1.34274i
\(310\) 3.12962 10.0841i 0.177750 0.572739i
\(311\) −31.7774 9.33069i −1.80193 0.529095i −0.804075 0.594528i \(-0.797339\pi\)
−0.997857 + 0.0654336i \(0.979157\pi\)
\(312\) 7.78737 3.55637i 0.440873 0.201340i
\(313\) 7.05257 + 1.01401i 0.398635 + 0.0573150i 0.338717 0.940888i \(-0.390007\pi\)
0.0599178 + 0.998203i \(0.480916\pi\)
\(314\) 9.49979 10.9633i 0.536104 0.618697i
\(315\) 22.1856 + 10.5457i 1.25001 + 0.594182i
\(316\) 13.8646 + 8.91025i 0.779946 + 0.501241i
\(317\) 7.02902 1.01062i 0.394789 0.0567621i 0.0579384 0.998320i \(-0.481547\pi\)
0.336851 + 0.941558i \(0.390638\pi\)
\(318\) −6.84652 10.6534i −0.383934 0.597412i
\(319\) 1.98679 + 2.29288i 0.111239 + 0.128377i
\(320\) 2.15489 0.597017i 0.120462 0.0333743i
\(321\) −36.9133 −2.06030
\(322\) −20.1425 + 4.53543i −1.12250 + 0.252749i
\(323\) 27.1942i 1.51313i
\(324\) −9.73300 + 2.85787i −0.540722 + 0.158770i
\(325\) −14.0878 + 11.4704i −0.781452 + 0.636264i
\(326\) −3.79073 + 2.43615i −0.209949 + 0.134926i
\(327\) 34.1204 4.90577i 1.88686 0.271289i
\(328\) 1.63710 2.54738i 0.0903940 0.140656i
\(329\) 9.71399 21.2707i 0.535550 1.17269i
\(330\) 4.59031 5.13628i 0.252688 0.282743i
\(331\) 3.51924 24.4768i 0.193435 1.34537i −0.629397 0.777084i \(-0.716698\pi\)
0.822832 0.568285i \(-0.192393\pi\)
\(332\) −9.10376 + 4.15755i −0.499634 + 0.228175i
\(333\) −4.18067 + 14.2380i −0.229099 + 0.780240i
\(334\) 0.878437 + 0.257932i 0.0480659 + 0.0141134i
\(335\) −6.83841 + 2.99720i −0.373622 + 0.163754i
\(336\) 1.44362 10.0406i 0.0787560 0.547760i
\(337\) 8.97814 + 7.77960i 0.489070 + 0.423782i 0.864168 0.503203i \(-0.167845\pi\)
−0.375098 + 0.926985i \(0.622391\pi\)
\(338\) 0.183282 + 0.0837022i 0.00996924 + 0.00455280i
\(339\) 17.0506 + 10.9577i 0.926060 + 0.595143i
\(340\) −8.24661 + 1.05695i −0.447235 + 0.0573211i
\(341\) −5.19371 + 3.33780i −0.281255 + 0.180752i
\(342\) −14.1045 + 12.2216i −0.762684 + 0.660869i
\(343\) −5.49983 18.7307i −0.296963 1.01136i
\(344\) 3.32858 0.179465
\(345\) 9.02046 23.6025i 0.485645 1.27072i
\(346\) −13.1705 −0.708052
\(347\) 2.29146 + 7.80401i 0.123012 + 0.418941i 0.997855 0.0654662i \(-0.0208535\pi\)
−0.874843 + 0.484407i \(0.839035\pi\)
\(348\) −4.13204 + 3.58044i −0.221501 + 0.191932i
\(349\) −1.01930 + 0.655061i −0.0545616 + 0.0350646i −0.567637 0.823279i \(-0.692142\pi\)
0.513076 + 0.858343i \(0.328506\pi\)
\(350\) 2.40898 + 21.3906i 0.128765 + 1.14338i
\(351\) −3.22855 2.07486i −0.172327 0.110748i
\(352\) −1.18931 0.543141i −0.0633906 0.0289495i
\(353\) −3.14083 2.72154i −0.167169 0.144853i 0.567259 0.823540i \(-0.308004\pi\)
−0.734428 + 0.678687i \(0.762549\pi\)
\(354\) 2.32097 16.1427i 0.123358 0.857976i
\(355\) −12.0469 27.4862i −0.639383 1.45882i
\(356\) 8.99088 + 2.63996i 0.476516 + 0.139918i
\(357\) −10.6260 + 36.1887i −0.562386 + 1.91531i
\(358\) 4.53023 2.06889i 0.239430 0.109344i
\(359\) −1.18262 + 8.22530i −0.0624162 + 0.434114i 0.934521 + 0.355908i \(0.115828\pi\)
−0.996937 + 0.0782064i \(0.975081\pi\)
\(360\) 4.25439 + 3.80216i 0.224226 + 0.200391i
\(361\) 14.3288 31.3758i 0.754150 1.65136i
\(362\) −3.98597 + 6.20229i −0.209498 + 0.325985i
\(363\) 21.6676 3.11533i 1.13725 0.163513i
\(364\) 13.1592 8.45687i 0.689727 0.443261i
\(365\) −23.3310 + 19.5985i −1.22120 + 1.02583i
\(366\) 21.3353 6.26460i 1.11521 0.327456i
\(367\) 15.5128i 0.809762i 0.914369 + 0.404881i \(0.132687\pi\)
−0.914369 + 0.404881i \(0.867313\pi\)
\(368\) −4.78597 0.307328i −0.249486 0.0160206i
\(369\) 7.72680 0.402241
\(370\) −12.5315 + 3.47187i −0.651481 + 0.180494i
\(371\) −15.1526 17.4870i −0.786682 0.907879i
\(372\) −6.01511 9.35969i −0.311869 0.485277i
\(373\) −20.7350 + 2.98124i −1.07362 + 0.154363i −0.656376 0.754434i \(-0.727912\pi\)
−0.417240 + 0.908797i \(0.637002\pi\)
\(374\) 4.08964 + 2.62825i 0.211470 + 0.135904i
\(375\) −23.4343 12.0332i −1.21014 0.621393i
\(376\) 3.55693 4.10491i 0.183434 0.211695i
\(377\) −8.34530 1.19987i −0.429805 0.0617966i
\(378\) −4.13642 + 1.88904i −0.212755 + 0.0971618i
\(379\) 21.4824 + 6.30779i 1.10347 + 0.324009i 0.782232 0.622987i \(-0.214081\pi\)
0.321243 + 0.946997i \(0.395899\pi\)
\(380\) −15.6194 4.84750i −0.801259 0.248672i
\(381\) 6.16992 + 13.5102i 0.316094 + 0.692150i
\(382\) 21.5161 + 3.09355i 1.10086 + 0.158280i
\(383\) 19.1353 + 16.5808i 0.977767 + 0.847240i 0.988272 0.152705i \(-0.0487984\pi\)
−0.0105049 + 0.999945i \(0.503344\pi\)
\(384\) 0.978804 2.14328i 0.0499494 0.109374i
\(385\) 6.96625 10.4829i 0.355033 0.534258i
\(386\) 0.635438 + 4.41957i 0.0323429 + 0.224950i
\(387\) 4.59197 + 7.14525i 0.233423 + 0.363213i
\(388\) −3.68309 + 3.19141i −0.186980 + 0.162019i
\(389\) −21.7831 + 6.39609i −1.10445 + 0.324295i −0.782617 0.622503i \(-0.786116\pi\)
−0.321829 + 0.946798i \(0.604298\pi\)
\(390\) −0.293391 + 19.1408i −0.0148564 + 0.969230i
\(391\) 17.4513 + 3.66356i 0.882549 + 0.185274i
\(392\) 11.5344i 0.582577i
\(393\) −5.37943 18.3207i −0.271357 0.924156i
\(394\) −5.93620 6.85075i −0.299062 0.345136i
\(395\) −31.3040 + 19.4464i −1.57507 + 0.978457i
\(396\) −0.474802 3.30232i −0.0238597 0.165948i
\(397\) 0.988968 1.53886i 0.0496349 0.0772334i −0.815549 0.578688i \(-0.803565\pi\)
0.865184 + 0.501454i \(0.167201\pi\)
\(398\) −6.61718 3.02197i −0.331689 0.151477i
\(399\) −48.5847 + 56.0698i −2.43228 + 2.80700i
\(400\) −0.862925 + 4.92497i −0.0431462 + 0.246249i
\(401\) 5.19147 + 11.3677i 0.259250 + 0.567678i 0.993839 0.110834i \(-0.0353523\pi\)
−0.734589 + 0.678512i \(0.762625\pi\)
\(402\) −2.21655 + 7.54886i −0.110551 + 0.376503i
\(403\) 4.83359 16.4617i 0.240778 0.820015i
\(404\) −0.714080 1.56362i −0.0355268 0.0777928i
\(405\) 3.57177 22.3995i 0.177483 1.11304i
\(406\) −6.54202 + 7.54990i −0.324675 + 0.374695i
\(407\) 6.91628 + 3.15856i 0.342827 + 0.156564i
\(408\) −4.73643 + 7.37002i −0.234488 + 0.364870i
\(409\) 4.19584 + 29.1827i 0.207471 + 1.44299i 0.781371 + 0.624067i \(0.214521\pi\)
−0.573900 + 0.818925i \(0.694570\pi\)
\(410\) 3.57295 + 5.75156i 0.176455 + 0.284049i
\(411\) 2.43231 + 2.80703i 0.119977 + 0.138461i
\(412\) −3.10262 10.5665i −0.152855 0.520576i
\(413\) 29.7986i 1.46629i
\(414\) −5.94282 10.6977i −0.292074 0.525765i
\(415\) 0.342986 22.3763i 0.0168365 1.09841i
\(416\) 3.48621 1.02364i 0.170925 0.0501882i
\(417\) −13.9152 + 12.0576i −0.681429 + 0.590462i
\(418\) 5.16996 + 8.04461i 0.252871 + 0.393475i
\(419\) −2.35238 16.3612i −0.114921 0.799295i −0.963015 0.269448i \(-0.913159\pi\)
0.848094 0.529846i \(-0.177750\pi\)
\(420\) 18.8914 + 12.5540i 0.921807 + 0.612573i
\(421\) 9.69548 21.2301i 0.472529 1.03469i −0.511922 0.859032i \(-0.671066\pi\)
0.984451 0.175662i \(-0.0562065\pi\)
\(422\) −18.3638 15.9123i −0.893934 0.774599i
\(423\) 13.7188 + 1.97246i 0.667028 + 0.0959042i
\(424\) −2.23270 4.88892i −0.108429 0.237427i
\(425\) 5.78188 17.6688i 0.280463 0.857065i
\(426\) −30.3418 8.90916i −1.47006 0.431650i
\(427\) 36.9571 16.8778i 1.78848 0.816772i
\(428\) −15.5070 2.22956i −0.749557 0.107770i
\(429\) 7.33000 8.45927i 0.353896 0.408418i
\(430\) −3.19530 + 6.72214i −0.154091 + 0.324170i
\(431\) 27.0328 + 17.3729i 1.30212 + 0.836824i 0.993441 0.114342i \(-0.0364759\pi\)
0.308681 + 0.951165i \(0.400112\pi\)
\(432\) −1.04551 + 0.150321i −0.0503019 + 0.00723232i
\(433\) 13.5295 + 21.0523i 0.650186 + 1.01171i 0.997268 + 0.0738744i \(0.0235364\pi\)
−0.347081 + 0.937835i \(0.612827\pi\)
\(434\) −13.3125 15.3634i −0.639020 0.737469i
\(435\) −3.26418 11.7818i −0.156505 0.564896i
\(436\) 14.6300 0.700648
\(437\) 28.2320 + 20.8156i 1.35052 + 0.995743i
\(438\) 32.1073i 1.53415i
\(439\) −7.91152 + 2.32303i −0.377596 + 0.110872i −0.465023 0.885299i \(-0.653954\pi\)
0.0874266 + 0.996171i \(0.472136\pi\)
\(440\) 2.23858 1.88045i 0.106720 0.0896470i
\(441\) 24.7602 15.9124i 1.17906 0.757735i
\(442\) −13.3720 + 1.92260i −0.636042 + 0.0914490i
\(443\) −17.1216 + 26.6417i −0.813471 + 1.26579i 0.147480 + 0.989065i \(0.452884\pi\)
−0.960950 + 0.276720i \(0.910752\pi\)
\(444\) −5.69210 + 12.4640i −0.270135 + 0.591513i
\(445\) −13.9624 + 15.6230i −0.661879 + 0.740603i
\(446\) 2.77738 19.3171i 0.131513 0.914691i
\(447\) 30.3386 13.8552i 1.43497 0.655328i
\(448\) 1.21290 4.13077i 0.0573044 0.195161i
\(449\) −3.89560 1.14385i −0.183845 0.0539817i 0.188514 0.982070i \(-0.439633\pi\)
−0.372359 + 0.928089i \(0.621451\pi\)
\(450\) −11.7626 + 4.94191i −0.554494 + 0.232964i
\(451\) 0.563440 3.91881i 0.0265314 0.184530i
\(452\) 6.50094 + 5.63310i 0.305779 + 0.264959i
\(453\) 18.5691 + 8.48022i 0.872452 + 0.398436i
\(454\) 5.66223 + 3.63889i 0.265741 + 0.170782i
\(455\) 4.44659 + 34.6935i 0.208459 + 1.62646i
\(456\) −14.4973 + 9.31687i −0.678900 + 0.436303i
\(457\) 15.0947 13.0796i 0.706098 0.611837i −0.225964 0.974136i \(-0.572553\pi\)
0.932062 + 0.362298i \(0.118008\pi\)
\(458\) 5.44750 + 18.5525i 0.254545 + 0.866900i
\(459\) 3.92733 0.183312
\(460\) 5.21500 9.37036i 0.243151 0.436896i
\(461\) 15.9547 0.743085 0.371543 0.928416i \(-0.378829\pi\)
0.371543 + 0.928416i \(0.378829\pi\)
\(462\) −3.73655 12.7255i −0.173840 0.592044i
\(463\) −12.2000 + 10.5713i −0.566981 + 0.491292i −0.890533 0.454918i \(-0.849668\pi\)
0.323552 + 0.946210i \(0.395123\pi\)
\(464\) −1.95209 + 1.25453i −0.0906236 + 0.0582403i
\(465\) 24.6764 3.16272i 1.14434 0.146667i
\(466\) 7.09317 + 4.55850i 0.328585 + 0.211169i
\(467\) 8.33114 + 3.80470i 0.385519 + 0.176061i 0.598740 0.800943i \(-0.295668\pi\)
−0.213221 + 0.977004i \(0.568395\pi\)
\(468\) 7.00682 + 6.07145i 0.323891 + 0.280653i
\(469\) −2.04581 + 14.2289i −0.0944669 + 0.657031i
\(470\) 4.87546 + 11.1238i 0.224888 + 0.513105i
\(471\) 32.7960 + 9.62976i 1.51116 + 0.443716i
\(472\) 1.95004 6.64123i 0.0897579 0.305687i
\(473\) 3.95872 1.80788i 0.182022 0.0831266i
\(474\) −5.52643 + 38.4372i −0.253838 + 1.76548i
\(475\) 24.7837 26.8903i 1.13715 1.23381i
\(476\) −6.64967 + 14.5607i −0.304787 + 0.667391i
\(477\) 7.41461 11.5374i 0.339491 0.528259i
\(478\) 18.7931 2.70204i 0.859575 0.123588i
\(479\) 4.67957 3.00738i 0.213815 0.137411i −0.429350 0.903138i \(-0.641257\pi\)
0.643165 + 0.765728i \(0.277621\pi\)
\(480\) 3.38879 + 4.03418i 0.154677 + 0.184134i
\(481\) −20.2736 + 5.95285i −0.924395 + 0.271427i
\(482\) 3.80651i 0.173382i
\(483\) −29.4363 38.7318i −1.33940 1.76236i
\(484\) 9.29053 0.422297
\(485\) −2.90951 10.5017i −0.132114 0.476858i
\(486\) −13.5768 15.6685i −0.615857 0.710736i
\(487\) −11.0677 17.2216i −0.501524 0.780387i 0.494527 0.869162i \(-0.335341\pi\)
−0.996052 + 0.0887749i \(0.971705\pi\)
\(488\) 9.34114 1.34305i 0.422854 0.0607972i
\(489\) −8.93174 5.74008i −0.403907 0.259575i
\(490\) 23.2940 + 11.0726i 1.05232 + 0.500209i
\(491\) 0.351783 0.405979i 0.0158757 0.0183216i −0.747756 0.663973i \(-0.768869\pi\)
0.763632 + 0.645652i \(0.223414\pi\)
\(492\) 7.06217 + 1.01539i 0.318387 + 0.0457772i
\(493\) 7.84815 3.58413i 0.353463 0.161421i
\(494\) −25.4977 7.48680i −1.14720 0.336847i
\(495\) 7.12490 + 2.21122i 0.320240 + 0.0993871i
\(496\) −1.96157 4.29523i −0.0880770 0.192862i
\(497\) −57.1916 8.22291i −2.56539 0.368848i
\(498\) −17.8216 15.4425i −0.798605 0.691995i
\(499\) 17.2264 37.7205i 0.771159 1.68860i 0.0470757 0.998891i \(-0.485010\pi\)
0.724084 0.689712i \(-0.242263\pi\)
\(500\) −9.11773 6.47048i −0.407757 0.289369i
\(501\) 0.306996 + 2.13520i 0.0137156 + 0.0953938i
\(502\) −13.2155 20.5638i −0.589838 0.917806i
\(503\) −0.480592 + 0.416436i −0.0214286 + 0.0185680i −0.665509 0.746390i \(-0.731786\pi\)
0.644081 + 0.764958i \(0.277240\pi\)
\(504\) 10.5405 3.09498i 0.469513 0.137862i
\(505\) 3.84325 + 0.0589096i 0.171022 + 0.00262144i
\(506\) −5.85894 + 2.23395i −0.260462 + 0.0993111i
\(507\) 0.474753i 0.0210845i
\(508\) 1.77591 + 6.04819i 0.0787932 + 0.268345i
\(509\) 16.2298 + 18.7302i 0.719374 + 0.830202i 0.991232 0.132135i \(-0.0421833\pi\)
−0.271857 + 0.962338i \(0.587638\pi\)
\(510\) −10.3371 16.6403i −0.457737 0.736843i
\(511\) 8.34892 + 58.0680i 0.369335 + 2.56878i
\(512\) 0.540641 0.841254i 0.0238932 0.0371785i
\(513\) 7.02721 + 3.20922i 0.310259 + 0.141691i
\(514\) 15.7401 18.1651i 0.694266 0.801226i
\(515\) 24.3178 + 3.87766i 1.07157 + 0.170870i
\(516\) 3.25802 + 7.13408i 0.143426 + 0.314060i
\(517\) 2.00075 6.81393i 0.0879929 0.299676i
\(518\) −7.05348 + 24.0219i −0.309912 + 1.05546i
\(519\) −12.8914 28.2282i −0.565868 1.23908i
\(520\) −1.27935 + 8.02314i −0.0561033 + 0.351838i
\(521\) 1.29908 1.49922i 0.0569139 0.0656822i −0.726579 0.687083i \(-0.758891\pi\)
0.783493 + 0.621401i \(0.213436\pi\)
\(522\) −5.38606 2.45973i −0.235741 0.107659i
\(523\) −9.00256 + 14.0083i −0.393655 + 0.612539i −0.980349 0.197270i \(-0.936793\pi\)
0.586695 + 0.809808i \(0.300429\pi\)
\(524\) −1.15328 8.02127i −0.0503814 0.350411i
\(525\) −43.4882 + 26.1003i −1.89798 + 1.13911i
\(526\) 6.29994 + 7.27052i 0.274691 + 0.317010i
\(527\) 4.94637 + 16.8458i 0.215467 + 0.733814i
\(528\) 3.08066i 0.134068i
\(529\) −17.1613 + 15.3131i −0.746144 + 0.665785i
\(530\) 12.0166 + 0.184191i 0.521967 + 0.00800076i
\(531\) 16.9465 4.97594i 0.735416 0.215938i
\(532\) −23.7966 + 20.6199i −1.03171 + 0.893986i
\(533\) 5.94823 + 9.25563i 0.257647 + 0.400906i
\(534\) 3.14213 + 21.8540i 0.135973 + 0.945715i
\(535\) 19.3887 29.1764i 0.838247 1.26140i
\(536\) −1.38710 + 3.03733i −0.0599137 + 0.131193i
\(537\) 8.86841 + 7.68452i 0.382700 + 0.331612i
\(538\) −5.15039 0.740515i −0.222049 0.0319259i
\(539\) −6.26482 13.7180i −0.269845 0.590878i
\(540\) 0.700067 2.25573i 0.0301261 0.0970710i
\(541\) −2.00667 0.589211i −0.0862734 0.0253322i 0.238311 0.971189i \(-0.423406\pi\)
−0.324584 + 0.945857i \(0.605224\pi\)
\(542\) −4.89068 + 2.23350i −0.210073 + 0.0959369i
\(543\) −17.1948 2.47223i −0.737897 0.106094i
\(544\) −2.43488 + 2.81000i −0.104395 + 0.120478i
\(545\) −14.0442 + 29.5455i −0.601587 + 1.26559i
\(546\) 31.0057 + 19.9262i 1.32692 + 0.852761i
\(547\) −14.2854 + 2.05393i −0.610800 + 0.0878198i −0.440772 0.897619i \(-0.645295\pi\)
−0.170029 + 0.985439i \(0.554386\pi\)
\(548\) 0.852246 + 1.32612i 0.0364062 + 0.0566491i
\(549\) 15.7697 + 18.1992i 0.673035 + 0.776724i
\(550\) 1.64867 + 6.32602i 0.0702994 + 0.269742i
\(551\) 16.9715 0.723012
\(552\) −4.02584 10.5585i −0.171351 0.449400i
\(553\) 70.9530i 3.01723i
\(554\) −7.73763 + 2.27197i −0.328740 + 0.0965269i
\(555\) −19.7071 23.4602i −0.836518 0.995832i
\(556\) −6.57392 + 4.22480i −0.278796 + 0.179171i
\(557\) −37.5963 + 5.40552i −1.59300 + 0.229039i −0.880993 0.473129i \(-0.843125\pi\)
−0.712011 + 0.702168i \(0.752215\pi\)
\(558\) 6.51421 10.1363i 0.275768 0.429104i
\(559\) −5.02403 + 11.0011i −0.212494 + 0.465296i
\(560\) 7.17785 + 6.41487i 0.303320 + 0.271078i
\(561\) −1.63013 + 11.3378i −0.0688241 + 0.478682i
\(562\) 5.41959 2.47504i 0.228611 0.104403i
\(563\) 4.20900 14.3345i 0.177388 0.604129i −0.822011 0.569472i \(-0.807148\pi\)
0.999399 0.0346574i \(-0.0110340\pi\)
\(564\) 12.2795 + 3.60559i 0.517061 + 0.151823i
\(565\) −17.6168 + 7.72125i −0.741146 + 0.324836i
\(566\) 4.62172 32.1448i 0.194265 1.35114i
\(567\) −33.0044 28.5985i −1.38606 1.20102i
\(568\) −12.2082 5.57530i −0.512245 0.233934i
\(569\) 0.151187 + 0.0971618i 0.00633808 + 0.00407324i 0.543806 0.839211i \(-0.316983\pi\)
−0.537468 + 0.843284i \(0.680619\pi\)
\(570\) −4.89877 38.2215i −0.205187 1.60092i
\(571\) 20.3199 13.0588i 0.850360 0.546493i −0.0413268 0.999146i \(-0.513158\pi\)
0.891687 + 0.452652i \(0.149522\pi\)
\(572\) 3.59021 3.11093i 0.150114 0.130075i
\(573\) 14.4297 + 49.1431i 0.602810 + 2.05298i
\(574\) 13.0364 0.544128
\(575\) 13.9175 + 19.5270i 0.580399 + 0.814332i
\(576\) 2.55171 0.106321
\(577\) 1.77803 + 6.05543i 0.0740205 + 0.252091i 0.988188 0.153246i \(-0.0489726\pi\)
−0.914168 + 0.405336i \(0.867154\pi\)
\(578\) −2.39971 + 2.07936i −0.0998147 + 0.0864900i
\(579\) −8.85041 + 5.68781i −0.367810 + 0.236377i
\(580\) −0.659628 5.14660i −0.0273896 0.213701i
\(581\) −36.2470 23.2945i −1.50378 0.966419i
\(582\) −10.4451 4.77012i −0.432964 0.197728i
\(583\) −5.31074 4.60179i −0.219949 0.190587i
\(584\) −1.93928 + 13.4880i −0.0802480 + 0.558137i
\(585\) −18.9877 + 8.32210i −0.785045 + 0.344076i
\(586\) −12.0976 3.55219i −0.499749 0.146740i
\(587\) −4.05904 + 13.8238i −0.167534 + 0.570570i 0.832333 + 0.554276i \(0.187005\pi\)
−0.999867 + 0.0162937i \(0.994813\pi\)
\(588\) 24.7215 11.2899i 1.01950 0.465589i
\(589\) −4.91495 + 34.1842i −0.202517 + 1.40854i
\(590\) 11.5402 + 10.3135i 0.475100 + 0.424599i
\(591\) 8.87270 19.4285i 0.364974 0.799181i
\(592\) −3.14402 + 4.89219i −0.129218 + 0.201068i
\(593\) 7.88791 1.13411i 0.323918 0.0465723i 0.0215620 0.999768i \(-0.493136\pi\)
0.302356 + 0.953195i \(0.402227\pi\)
\(594\) −1.16179 + 0.746635i −0.0476687 + 0.0306348i
\(595\) −23.0223 27.4069i −0.943824 1.12357i
\(596\) 13.5818 3.98799i 0.556334 0.163354i
\(597\) 17.1404i 0.701510i
\(598\) 8.23951 15.3540i 0.336938 0.627871i
\(599\) −15.3525 −0.627284 −0.313642 0.949541i \(-0.601549\pi\)
−0.313642 + 0.949541i \(0.601549\pi\)
\(600\) −11.4002 + 2.97109i −0.465413 + 0.121294i
\(601\) −5.83980 6.73949i −0.238210 0.274909i 0.624039 0.781393i \(-0.285491\pi\)
−0.862250 + 0.506484i \(0.830945\pi\)
\(602\) 7.74742 + 12.0552i 0.315761 + 0.491334i
\(603\) −8.43364 + 1.21257i −0.343444 + 0.0493798i
\(604\) 7.28851 + 4.68404i 0.296565 + 0.190591i
\(605\) −8.91855 + 18.7625i −0.362591 + 0.762802i
\(606\) 2.65233 3.06095i 0.107743 0.124342i
\(607\) −14.0371 2.01823i −0.569747 0.0819173i −0.148580 0.988900i \(-0.547470\pi\)
−0.421167 + 0.906983i \(0.638379\pi\)
\(608\) −6.65294 + 3.03830i −0.269812 + 0.123219i
\(609\) −22.5849 6.63153i −0.915187 0.268723i
\(610\) −6.25480 + 20.1539i −0.253249 + 0.816009i
\(611\) 8.19822 + 17.9516i 0.331664 + 0.726244i
\(612\) −9.39111 1.35024i −0.379613 0.0545801i
\(613\) −26.0901 22.6072i −1.05377 0.913097i −0.0574110 0.998351i \(-0.518285\pi\)
−0.996359 + 0.0852535i \(0.972830\pi\)
\(614\) 5.10847 11.1860i 0.206161 0.451430i
\(615\) −8.83000 + 13.2875i −0.356060 + 0.535803i
\(616\) −0.801069 5.57156i −0.0322760 0.224484i
\(617\) 6.79302 + 10.5702i 0.273477 + 0.425538i 0.950641 0.310294i \(-0.100428\pi\)
−0.677164 + 0.735832i \(0.736791\pi\)
\(618\) 19.6102 16.9924i 0.788839 0.683533i
\(619\) −3.16054 + 0.928018i −0.127033 + 0.0373002i −0.344631 0.938738i \(-0.611996\pi\)
0.217598 + 0.976038i \(0.430178\pi\)
\(620\) 10.5574 + 0.161824i 0.423993 + 0.00649900i
\(621\) −3.00614 + 4.07722i −0.120632 + 0.163613i
\(622\) 33.1190i 1.32795i
\(623\) 11.3655 + 38.7072i 0.455348 + 1.55077i
\(624\) 5.60627 + 6.46998i 0.224430 + 0.259006i
\(625\) 21.8199 12.2021i 0.872798 0.488082i
\(626\) 1.01401 + 7.05257i 0.0405279 + 0.281877i
\(627\) −12.1815 + 18.9548i −0.486482 + 0.756980i
\(628\) 13.1956 + 6.02625i 0.526564 + 0.240474i
\(629\) 14.1597 16.3412i 0.564584 0.651565i
\(630\) −3.86812 + 24.2580i −0.154110 + 0.966460i
\(631\) 9.64305 + 21.1153i 0.383884 + 0.840588i 0.998653 + 0.0518813i \(0.0165218\pi\)
−0.614770 + 0.788707i \(0.710751\pi\)
\(632\) −4.64321 + 15.8133i −0.184697 + 0.629020i
\(633\) 16.1300 54.9338i 0.641110 2.18342i
\(634\) 2.94999 + 6.45957i 0.117159 + 0.256542i
\(635\) −13.9193 2.21953i −0.552369 0.0880795i
\(636\) 8.29296 9.57059i 0.328837 0.379499i
\(637\) 38.1218 + 17.4096i 1.51044 + 0.689795i
\(638\) −1.64026 + 2.55229i −0.0649385 + 0.101046i
\(639\) −4.87380 33.8980i −0.192805 1.34099i
\(640\) 1.17994 + 1.89941i 0.0466411 + 0.0750807i
\(641\) −22.3432 25.7854i −0.882502 1.01846i −0.999679 0.0253502i \(-0.991930\pi\)
0.117177 0.993111i \(-0.462616\pi\)
\(642\) −10.3997 35.4181i −0.410443 1.39784i
\(643\) 7.69594i 0.303498i −0.988419 0.151749i \(-0.951509\pi\)
0.988419 0.151749i \(-0.0484906\pi\)
\(644\) −10.0265 18.0488i −0.395100 0.711224i
\(645\) −17.5350 0.268778i −0.690440 0.0105831i
\(646\) 26.0926 7.66149i 1.02660 0.301437i
\(647\) 30.0732 26.0586i 1.18230 1.02447i 0.183158 0.983083i \(-0.441368\pi\)
0.999143 0.0413863i \(-0.0131774\pi\)
\(648\) −5.48421 8.53359i −0.215440 0.335231i
\(649\) −1.28791 8.95764i −0.0505550 0.351618i
\(650\) −14.9748 10.2856i −0.587359 0.403433i
\(651\) 19.8979 43.5702i 0.779858 1.70765i
\(652\) −3.40544 2.95083i −0.133367 0.115564i
\(653\) 36.5403 + 5.25370i 1.42993 + 0.205593i 0.813385 0.581726i \(-0.197622\pi\)
0.616546 + 0.787319i \(0.288531\pi\)
\(654\) 14.3199 + 31.3561i 0.559951 + 1.22612i
\(655\) 17.3062 + 5.37102i 0.676211 + 0.209863i
\(656\) 2.90542 + 0.853109i 0.113438 + 0.0333083i
\(657\) −31.6292 + 14.4446i −1.23397 + 0.563536i
\(658\) 23.1458 + 3.32786i 0.902317 + 0.129734i
\(659\) 6.85473 7.91078i 0.267022 0.308160i −0.606365 0.795186i \(-0.707373\pi\)
0.873387 + 0.487026i \(0.161918\pi\)
\(660\) 6.22146 + 2.95731i 0.242170 + 0.115113i
\(661\) −28.4342 18.2736i −1.10596 0.710759i −0.145553 0.989350i \(-0.546496\pi\)
−0.960410 + 0.278591i \(0.910133\pi\)
\(662\) 24.4768 3.51924i 0.951320 0.136779i
\(663\) −17.2093 26.7781i −0.668352 1.03998i
\(664\) −6.55397 7.56368i −0.254343 0.293528i
\(665\) −18.7985 67.8521i −0.728976 2.63119i
\(666\) −14.8391 −0.575005
\(667\) −2.28638 + 10.8911i −0.0885290 + 0.421706i
\(668\) 0.915522i 0.0354226i
\(669\) 44.1205 12.9549i 1.70580 0.500867i
\(670\) −4.80239 5.71700i −0.185533 0.220867i
\(671\) 10.3801 6.67086i 0.400718 0.257526i
\(672\) 10.0406 1.44362i 0.387325 0.0556889i
\(673\) 4.46751 6.95158i 0.172210 0.267964i −0.744411 0.667722i \(-0.767270\pi\)
0.916621 + 0.399758i \(0.130906\pi\)
\(674\) −4.93504 + 10.8062i −0.190091 + 0.416240i
\(675\) 3.88345 + 3.57921i 0.149474 + 0.137764i
\(676\) −0.0286751 + 0.199440i −0.00110289 + 0.00767075i
\(677\) 31.2828 14.2864i 1.20229 0.549069i 0.289377 0.957215i \(-0.406552\pi\)
0.912917 + 0.408146i \(0.133825\pi\)
\(678\) −5.71017 + 19.4471i −0.219298 + 0.746860i
\(679\) −20.1310 5.91099i −0.772557 0.226843i
\(680\) −3.33747 7.61478i −0.127986 0.292014i
\(681\) −2.25696 + 15.6975i −0.0864869 + 0.601530i
\(682\) −4.66583 4.04297i −0.178664 0.154813i
\(683\) −39.6005 18.0849i −1.51527 0.692001i −0.527737 0.849408i \(-0.676959\pi\)
−0.987534 + 0.157407i \(0.949687\pi\)
\(684\) −15.7002 10.0899i −0.600314 0.385798i
\(685\) −3.49626 + 0.448107i −0.133585 + 0.0171213i
\(686\) 16.4225 10.5541i 0.627013 0.402957i
\(687\) −34.4311 + 29.8348i −1.31363 + 1.13827i
\(688\) 0.937768 + 3.19374i 0.0357521 + 0.121760i
\(689\) 19.5280 0.743959
\(690\) 25.1878 + 2.00547i 0.958883 + 0.0763470i
\(691\) 1.04412 0.0397203 0.0198602 0.999803i \(-0.493678\pi\)
0.0198602 + 0.999803i \(0.493678\pi\)
\(692\) −3.71057 12.6370i −0.141055 0.480388i
\(693\) 10.8550 9.40590i 0.412347 0.357301i
\(694\) −6.84231 + 4.39729i −0.259731 + 0.166919i
\(695\) −2.22138 17.3318i −0.0842618 0.657434i
\(696\) −4.59953 2.95594i −0.174345 0.112045i
\(697\) −10.2415 4.67712i −0.387923 0.177158i
\(698\) −0.915696 0.793455i −0.0346596 0.0300327i
\(699\) −2.82734 + 19.6645i −0.106940 + 0.743781i
\(700\) −19.8454 + 8.33782i −0.750087 + 0.315140i
\(701\) 37.4233 + 10.9885i 1.41346 + 0.415029i 0.897284 0.441454i \(-0.145537\pi\)
0.516175 + 0.856483i \(0.327355\pi\)
\(702\) 1.08123 3.68233i 0.0408084 0.138981i
\(703\) 38.6892 17.6688i 1.45919 0.666391i
\(704\) 0.186072 1.29416i 0.00701284 0.0487754i
\(705\) −19.0694 + 21.3375i −0.718196 + 0.803618i
\(706\) 1.72643 3.78035i 0.0649749 0.142275i
\(707\) 4.00095 6.22560i 0.150471 0.234138i
\(708\) 16.1427 2.32097i 0.606681 0.0872275i
\(709\) 11.9207 7.66098i 0.447692 0.287714i −0.297304 0.954783i \(-0.596088\pi\)
0.744996 + 0.667069i \(0.232451\pi\)
\(710\) 22.9788 19.3027i 0.862381 0.724417i
\(711\) −40.3511 + 11.8481i −1.51328 + 0.444340i
\(712\) 9.37045i 0.351173i
\(713\) −21.2748 7.75931i −0.796749 0.290588i
\(714\) −37.7165 −1.41150
\(715\) 2.83614 + 10.2369i 0.106066 + 0.382838i
\(716\) 3.26140 + 3.76385i 0.121884 + 0.140662i
\(717\) 24.1859 + 37.6341i 0.903241 + 1.40547i
\(718\) −8.22530 + 1.18262i −0.306965 + 0.0441349i
\(719\) −2.77391 1.78269i −0.103449 0.0664829i 0.487893 0.872903i \(-0.337766\pi\)
−0.591343 + 0.806420i \(0.701402\pi\)
\(720\) −2.44954 + 5.15324i −0.0912891 + 0.192050i
\(721\) 31.0477 35.8310i 1.15628 1.33442i
\(722\) 34.1417 + 4.90884i 1.27062 + 0.182688i
\(723\) −8.15843 + 3.72583i −0.303415 + 0.138565i
\(724\) −7.07404 2.07712i −0.262905 0.0771957i
\(725\) 11.0269 + 3.60840i 0.409529 + 0.134013i
\(726\) 9.09361 + 19.9122i 0.337496 + 0.739012i
\(727\) 18.0406 + 2.59385i 0.669090 + 0.0962007i 0.468485 0.883471i \(-0.344800\pi\)
0.200605 + 0.979672i \(0.435709\pi\)
\(728\) 11.8217 + 10.2435i 0.438140 + 0.379651i
\(729\) 7.65113 16.7536i 0.283375 0.620505i
\(730\) −25.3777 16.8644i −0.939271 0.624178i
\(731\) −1.76131 12.2502i −0.0651446 0.453090i
\(732\) 12.0217 + 18.7061i 0.444334 + 0.691398i
\(733\) −31.1915 + 27.0276i −1.15209 + 0.998288i −0.152135 + 0.988360i \(0.548615\pi\)
−0.999951 + 0.00992778i \(0.996840\pi\)
\(734\) −14.8844 + 4.37046i −0.549394 + 0.161317i
\(735\) −0.931389 + 60.7636i −0.0343548 + 2.24130i
\(736\) −1.05349 4.67869i −0.0388320 0.172459i
\(737\) 4.36572i 0.160814i
\(738\) 2.17689 + 7.41381i 0.0801324 + 0.272906i
\(739\) 23.0074 + 26.5519i 0.846340 + 0.976729i 0.999935 0.0114050i \(-0.00363042\pi\)
−0.153595 + 0.988134i \(0.549085\pi\)
\(740\) −6.86176 11.0457i −0.252243 0.406049i
\(741\) −8.91093 61.9769i −0.327351 2.27678i
\(742\) 12.5097 19.4654i 0.459244 0.714598i
\(743\) −25.3254 11.5657i −0.929099 0.424305i −0.107393 0.994217i \(-0.534250\pi\)
−0.821706 + 0.569911i \(0.806978\pi\)
\(744\) 7.28590 8.40838i 0.267114 0.308266i
\(745\) −4.98420 + 31.2572i −0.182607 + 1.14517i
\(746\) −8.70219 19.0551i −0.318610 0.697658i
\(747\) 7.19489 24.5035i 0.263247 0.896538i
\(748\) −1.36961 + 4.66445i −0.0500777 + 0.170549i
\(749\) −28.0183 61.3515i −1.02377 2.24173i
\(750\) 4.94359 25.8752i 0.180514 0.944828i
\(751\) −21.3265 + 24.6121i −0.778217 + 0.898110i −0.996979 0.0776683i \(-0.975252\pi\)
0.218763 + 0.975778i \(0.429798\pi\)
\(752\) 4.94074 + 2.25636i 0.180170 + 0.0822809i
\(753\) 31.1385 48.4525i 1.13475 1.76571i
\(754\) −1.19987 8.34530i −0.0436968 0.303918i
\(755\) −16.4562 + 10.2228i −0.598903 + 0.372046i
\(756\) −2.97789 3.43666i −0.108305 0.124990i
\(757\) −1.36271 4.64095i −0.0495284 0.168678i 0.931015 0.364981i \(-0.118925\pi\)
−0.980543 + 0.196303i \(0.937106\pi\)
\(758\) 22.3893i 0.813215i
\(759\) −10.5227 10.3708i −0.381951 0.376435i
\(760\) 0.250651 16.3524i 0.00909207 0.593164i
\(761\) 17.0170 4.99666i 0.616867 0.181129i 0.0416541 0.999132i \(-0.486737\pi\)
0.575213 + 0.818003i \(0.304919\pi\)
\(762\) −11.2247 + 9.72626i −0.406628 + 0.352345i
\(763\) 34.0519 + 52.9858i 1.23276 + 1.91822i
\(764\) 3.09355 + 21.5161i 0.111921 + 0.778426i
\(765\) 11.7419 17.6694i 0.424531 0.638838i
\(766\) −10.5181 + 23.0315i −0.380036 + 0.832163i
\(767\) 19.0062 + 16.4690i 0.686275 + 0.594661i
\(768\) 2.33222 + 0.335323i 0.0841569 + 0.0120999i
\(769\) −1.07223 2.34787i −0.0386658 0.0846662i 0.889314 0.457298i \(-0.151183\pi\)
−0.927979 + 0.372632i \(0.878455\pi\)
\(770\) 12.0209 + 3.73070i 0.433203 + 0.134445i
\(771\) 54.3393 + 15.9555i 1.95698 + 0.574622i
\(772\) −4.06152 + 1.85483i −0.146177 + 0.0667569i
\(773\) 0.383553