Properties

Label 230.2.j.a.9.5
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 9.5
Character \(\chi\) \(=\) 230.9
Dual form 230.2.j.a.179.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.281733 - 0.959493i) q^{2} +(1.78070 - 1.54299i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(-0.352110 - 2.20817i) q^{5} +(-1.98217 - 1.27386i) q^{6} +(3.91611 + 1.78843i) q^{7} +(0.755750 + 0.654861i) q^{8} +(0.363147 - 2.52574i) q^{9} +O(q^{10})\) \(q+(-0.281733 - 0.959493i) q^{2} +(1.78070 - 1.54299i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(-0.352110 - 2.20817i) 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} +(-2.01952 + 0.959961i) 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} +(-4.03418 - 3.38879i) 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} +(1.49004 + 1.66727i) q^{20} +(9.73296 - 2.85785i) q^{21} +1.30747i q^{22} +(1.70861 + 4.48114i) q^{23} +2.35621 q^{24} +(-4.75204 + 1.55504i) 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} +(-2.11496 + 4.82550i) 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} +(2.57025 - 9.27717i) 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} +(1.17994 - 1.89941i) 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} +(2.83085 + 4.12144i) 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} +(-0.371669 + 2.89986i) 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} +(5.22589 + 0.669791i) 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} +(4.49667 + 6.76664i) 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} +(-6.06256 + 10.1014i) 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} +(-2.15489 - 0.597017i) 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} +(-7.61478 - 3.33747i) 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} +(1.69123 + 5.44940i) q^{90} -15.6423 q^{91} +(-3.86006 - 2.84603i) q^{92} -11.1259i q^{93} +(-5.21156 + 1.53025i) q^{94} +(10.8980 + 12.1942i) 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 0.0340012 0.999422i \(-0.489175\pi\)
0.994088 + 0.108577i \(0.0346295\pi\)
\(4\) −0.841254 + 0.540641i −0.420627 + 0.270320i
\(5\) −0.352110 2.20817i −0.157468 0.987524i
\(6\) −1.98217 1.27386i −0.809217 0.520052i
\(7\) 3.91611 + 1.78843i 1.48015 + 0.675963i 0.981609 0.190902i \(-0.0611414\pi\)
0.498543 + 0.866865i \(0.333869\pi\)
\(8\) 0.755750 + 0.654861i 0.267198 + 0.231528i
\(9\) 0.363147 2.52574i 0.121049 0.841913i
\(10\) −2.01952 + 0.959961i −0.638629 + 0.303566i
\(11\) −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 −0.817157 0.576416i \(-0.804451\pi\)
−0.0994977 + 0.995038i \(0.531724\pi\)
\(14\) 0.612689 4.26134i 0.163748 1.13889i
\(15\) −4.03418 3.38879i −1.04162 0.874983i
\(16\) 0.415415 0.909632i 0.103854 0.227408i
\(17\) 2.01019 3.12792i 0.487543 0.758631i −0.507113 0.861880i \(-0.669287\pi\)
0.994656 + 0.103248i \(0.0329236\pi\)
\(18\) −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 \(0.635017\pi\)
\(20\) 1.49004 + 1.66727i 0.333183 + 0.372812i
\(21\) 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
\(25\) −4.75204 + 1.55504i −0.950407 + 0.311008i
\(26\) 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 \(0.750940\pi\)
\(30\) −2.11496 + 4.82550i −0.386138 + 0.881013i
\(31\) 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
\(35\) 2.57025 9.27717i 0.434452 1.56813i
\(36\) 1.06002 + 2.32112i 0.176670 + 0.386853i
\(37\) 5.75617 + 0.827612i 0.946308 + 0.136059i 0.598156 0.801379i \(-0.295900\pi\)
0.348152 + 0.937438i \(0.386809\pi\)
\(38\) 5.52746 + 4.78957i 0.896673 + 0.776971i
\(39\) −3.55637 + 7.78737i −0.569475 + 1.24698i
\(40\) 1.17994 1.89941i 0.186564 0.300323i
\(41\) 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 −0.441608 0.897208i \(-0.645592\pi\)
0.825229 + 0.564799i \(0.191046\pi\)
\(44\) 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 \(-0.870350\pi\)
0.918191 0.396138i \(-0.129650\pi\)
\(48\) −0.663820 2.26076i −0.0958142 0.326313i
\(49\) 7.55344 + 8.71714i 1.07906 + 1.24531i
\(50\) 2.83085 + 4.12144i 0.400343 + 0.582860i
\(51\) −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 0.0503049 0.998734i \(-0.483981\pi\)
−0.721850 + 0.692050i \(0.756708\pi\)
\(54\) 0.691701 0.798266i 0.0941286 0.108630i
\(55\) −0.371669 + 2.89986i −0.0501158 + 0.391017i
\(56\) 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 \(0.714862\pi\)
\(60\) 5.22589 + 0.669791i 0.674660 + 0.0864696i
\(61\) −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
\(65\) 4.49667 + 6.76664i 0.557743 + 0.839298i
\(66\) 2.01740 + 2.32821i 0.248325 + 0.286582i
\(67\) 0.940726 + 3.20382i 0.114928 + 0.391409i 0.996786 0.0801056i \(-0.0255257\pi\)
−0.881858 + 0.471514i \(0.843708\pi\)
\(68\) 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 \(0.111996\pi\)
−0.0764786 + 0.997071i \(0.524368\pi\)
\(74\) −0.827612 5.75617i −0.0962080 0.669141i
\(75\) −6.06256 + 10.1014i −0.700044 + 1.16641i
\(76\) 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 \(-0.514090\pi\)
\(80\) −2.15489 0.597017i −0.240925 0.0667485i
\(81\) 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 −0.424755 0.905308i \(-0.639640\pi\)
−0.662604 + 0.748970i \(0.730549\pi\)
\(84\) −6.64281 + 7.66622i −0.724790 + 0.836453i
\(85\) −7.61478 3.33747i −0.825939 0.362000i
\(86\) −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 \(0.938158\pi\)
\(90\) 1.69123 + 5.44940i 0.178271 + 0.574417i
\(91\) −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
\(95\) 10.8980 + 12.1942i 1.11811 + 1.25110i
\(96\) −1.98217 + 1.27386i −0.202304 + 0.130013i
\(97\) −4.82382 + 0.693560i −0.489784 + 0.0704203i −0.382783 0.923838i \(-0.625034\pi\)
−0.107002 + 0.994259i \(0.534125\pi\)
\(98\) 6.23598 9.70338i 0.629929 0.980189i
\(99\) −1.38594 + 3.03478i −0.139292 + 0.305007i
\(100\) 3.15695 3.87733i 0.315695 0.387733i
\(101\) −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 \(-0.726548\pi\)
0.958849 0.283915i \(-0.0916333\pi\)
\(104\) −3.48621 1.02364i −0.341851 0.100376i
\(105\) −9.73770 20.4858i −0.950303 1.99921i
\(106\) −0.764887 + 5.31991i −0.0742924 + 0.516715i
\(107\) −11.8399 10.2593i −1.14460 0.991806i −0.999997 0.00231658i \(-0.999263\pi\)
−0.144607 0.989489i \(-0.546192\pi\)
\(108\) −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 \(0.928924\pi\)
\(110\) 2.88711 0.460372i 0.275275 0.0438947i
\(111\) 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 \(0.0416812\pi\)
−0.763459 + 0.645856i \(0.776501\pi\)
\(114\) 17.2330 1.61402
\(115\) 9.29351 5.35076i 0.866625 0.498961i
\(116\) 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
\(120\) −0.829644 5.20291i −0.0757358 0.474958i
\(121\) −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
\(125\) 5.10703 + 9.94577i 0.456787 + 0.889576i
\(126\) −10.5405 3.09498i −0.939027 0.275723i
\(127\) −1.77591 + 6.04819i −0.157586 + 0.536690i −0.999998 0.00214510i \(-0.999317\pi\)
0.842411 + 0.538835i \(0.181135\pi\)
\(128\) 0.909632 0.415415i 0.0804009 0.0367178i
\(129\) 1.11615 7.76299i 0.0982714 0.683493i
\(130\) 5.22568 6.22091i 0.458323 0.545610i
\(131\) −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
\(135\) 1.76106 1.57387i 0.151568 0.135457i
\(136\) 3.56755 1.04753i 0.305915 0.0898247i
\(137\) 1.57636i 0.134678i 0.997730 + 0.0673389i \(0.0214509\pi\)
−0.997730 + 0.0673389i \(0.978549\pi\)
\(138\) 2.32161 11.0589i 0.197628 0.941397i
\(139\) 7.81443 0.662812 0.331406 0.943488i \(-0.392477\pi\)
0.331406 + 0.943488i \(0.392477\pi\)
\(140\) 2.85338 + 9.19404i 0.241155 + 0.777038i
\(141\) −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
\(145\) −2.08287 + 4.75229i −0.172973 + 0.394656i
\(146\) 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 \(0.787787\pi\)
\(150\) 11.4002 + 2.97109i 0.930826 + 0.242589i
\(151\) −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
\(155\) −8.96890 5.57160i −0.720399 0.447522i
\(156\) −1.21836 8.47387i −0.0975468 0.678453i
\(157\) 7.84285 + 12.2037i 0.625927 + 0.973962i 0.998935 + 0.0461338i \(0.0146901\pi\)
−0.373008 + 0.927828i \(0.621674\pi\)
\(158\) −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 0.894717 0.446633i \(-0.147377\pi\)
−0.994152 + 0.107989i \(0.965559\pi\)
\(164\) −1.98297 2.28847i −0.154844 0.178700i
\(165\) 3.81262 + 5.73727i 0.296812 + 0.446646i
\(166\) 1.42431 + 9.90631i 0.110548 + 0.768879i
\(167\) −0.494968 + 0.770186i −0.0383018 + 0.0595988i −0.859876 0.510502i \(-0.829460\pi\)
0.821575 + 0.570101i \(0.193096\pi\)
\(168\) 9.22718 + 4.21391i 0.711892 + 0.325110i
\(169\) 0.131948 0.152276i 0.0101499 0.0117136i
\(170\) −1.05695 + 8.24661i −0.0810643 + 0.632486i
\(171\) 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 \(-0.742178\pi\)
0.971629 0.236509i \(-0.0760034\pi\)
\(174\) 2.27127 + 4.97339i 0.172185 + 0.377032i
\(175\) −21.3906 2.40898i −1.61698 0.182101i
\(176\) −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 \(-0.105047\pi\)
\(180\) 4.75219 3.15799i 0.354207 0.235383i
\(181\) 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
\(190\) 8.62992 13.8920i 0.626080 1.00783i
\(191\) 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 −0.0185985 0.999827i \(-0.505920\pi\)
−0.299529 + 0.954087i \(0.596830\pi\)
\(194\) 2.02449 + 4.43302i 0.145350 + 0.318272i
\(195\) 18.4481 + 5.11107i 1.32109 + 0.366011i
\(196\) −11.0672 3.24962i −0.790514 0.232116i
\(197\) 8.24566 3.76567i 0.587479 0.268293i −0.0994199 0.995046i \(-0.531699\pi\)
0.686899 + 0.726753i \(0.258971\pi\)
\(198\) 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 \(0.310284\pi\)
\(200\) −4.60968 1.93670i −0.325954 0.136946i
\(201\) 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
\(205\) 6.46672 2.00696i 0.451656 0.140172i
\(206\) −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
\(210\) −16.9125 + 15.1148i −1.16707 + 1.04302i
\(211\) −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
\(215\) −5.69903 4.78729i −0.388670 0.326491i
\(216\) −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
\(220\) −1.25512 2.64046i −0.0846199 0.178020i
\(221\) −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 0.908847 0.417129i \(-0.136964\pi\)
0.279924 + 0.960022i \(0.409691\pi\)
\(224\) −3.62173 2.32755i −0.241987 0.155516i
\(225\) 2.20194 + 12.5671i 0.146796 + 0.837808i
\(226\) 7.23645 4.65058i 0.481361 0.309352i
\(227\) −5.08672 + 4.40767i −0.337618 + 0.292547i −0.807124 0.590382i \(-0.798977\pi\)
0.469507 + 0.882929i \(0.344432\pi\)
\(228\) −4.85510 16.5350i −0.321537 1.09505i
\(229\) 19.3357 1.27774 0.638870 0.769315i \(-0.279402\pi\)
0.638870 + 0.769315i \(0.279402\pi\)
\(230\) −7.75230 7.40958i −0.511172 0.488573i
\(231\) −13.2627 −0.872624
\(232\) −0.653748 2.22646i −0.0429207 0.146174i
\(233\) −6.37223 + 5.52157i −0.417459 + 0.361730i −0.838118 0.545489i \(-0.816344\pi\)
0.420660 + 0.907219i \(0.361799\pi\)
\(234\) 7.79956 5.01247i 0.509873 0.327676i
\(235\) −11.9938 + 1.91251i −0.782392 + 0.124759i
\(236\) −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 \(-0.165011\pi\)
\(240\) −4.75842 + 2.26187i −0.307154 + 0.146003i
\(241\) 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
\(245\) 16.5893 19.7487i 1.05985 1.26170i
\(246\) 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
\(250\) 8.10407 7.70221i 0.512547 0.487130i
\(251\) −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
\(255\) −18.7093 + 5.80647i −1.17162 + 0.363615i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) 12.9947 + 20.2202i 0.810590 + 1.26130i 0.962059 + 0.272840i \(0.0879630\pi\)
−0.151470 + 0.988462i \(0.548401\pi\)
\(258\) −7.76299 + 1.11615i −0.483302 + 0.0694884i
\(259\) 21.0617 + 13.5355i 1.30871 + 0.841057i
\(260\) −7.44116 3.26138i −0.461481 0.202262i
\(261\) −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 −0.666524 0.745484i \(-0.732218\pi\)
0.126919 + 0.991913i \(0.459491\pi\)
\(264\) −2.95587 0.867922i −0.181921 0.0534169i
\(265\) −3.20874 + 11.5817i −0.197111 + 0.711460i
\(266\) 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 \(0.187070\pi\)
\(270\) −2.00626 1.24632i −0.122097 0.0758484i
\(271\) 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 \(-0.922109\pi\)
0.970209 0.242268i \(-0.0778913\pi\)
\(278\) −2.20158 7.49789i −0.132042 0.449694i
\(279\) −7.89045 9.10606i −0.472389 0.545166i
\(280\) 8.01772 5.32806i 0.479151 0.318413i
\(281\) −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 \(0.0521766\pi\)
0.769409 + 0.638756i \(0.220551\pi\)
\(284\) −8.78891 + 10.1429i −0.521526 + 0.601873i
\(285\) 38.2215 + 4.89877i 2.26405 + 0.290178i
\(286\) −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
\(290\) 5.14660 + 0.659628i 0.302219 + 0.0387347i
\(291\) −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 −0.583006 0.812468i \(-0.698124\pi\)
0.981236 + 0.192810i \(0.0617601\pi\)
\(294\) −3.86776 26.9009i −0.225572 1.56889i
\(295\) 12.8904 8.56616i 0.750511 0.498741i
\(296\) 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
\(305\) 17.9251 + 11.1353i 1.02639 + 0.637605i
\(306\) −3.94133 + 8.63030i −0.225311 + 0.493361i
\(307\) 9.29366 + 8.05300i 0.530417 + 0.459609i 0.878423 0.477883i \(-0.158596\pi\)
−0.348006 + 0.937492i \(0.613141\pi\)
\(308\) 5.57156 + 0.801069i 0.317469 + 0.0456451i
\(309\) −10.7792 23.6032i −0.613208 1.34274i
\(310\) −2.81908 + 10.1753i −0.160113 + 0.577918i
\(311\) −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 −0.0599178 0.998203i \(-0.519084\pi\)
−0.338717 + 0.940888i \(0.609993\pi\)
\(314\) 9.49979 10.9633i 0.536104 0.618697i
\(315\) −22.4984 9.86077i −1.26764 0.555591i
\(316\) 13.8646 + 8.91025i 0.779946 + 0.501241i
\(317\) −7.02902 + 1.01062i −0.394789 + 0.0567621i −0.336851 0.941558i \(-0.609362\pi\)
−0.0579384 + 0.998320i \(0.518453\pi\)
\(318\) 6.84652 + 10.6534i 0.383934 + 0.597412i
\(319\) 1.98679 + 2.29288i 0.111239 + 0.128377i
\(320\) 2.13558 0.662782i 0.119383 0.0370506i
\(321\) −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
\(325\) 13.3586 12.3120i 0.741000 0.682948i
\(326\) −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
\(330\) 4.43073 5.27456i 0.243904 0.290355i
\(331\) 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
\(335\) 6.74334 3.20538i 0.368428 0.175129i
\(336\) 1.44362 10.0406i 0.0787560 0.547760i
\(337\) −8.97814 7.77960i −0.489070 0.423782i 0.375098 0.926985i \(-0.377609\pi\)
−0.864168 + 0.503203i \(0.832155\pi\)
\(338\) −0.183282 0.0837022i −0.00996924 0.00455280i
\(339\) 17.0506 + 10.9577i 0.926060 + 0.595143i
\(340\) 8.21034 1.30920i 0.445268 0.0710015i
\(341\) −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
\(345\) 8.29283 23.8679i 0.446471 1.28500i
\(346\) −13.1705 −0.708052
\(347\) −2.29146 7.80401i −0.123012 0.418941i 0.874843 0.484407i \(-0.160965\pi\)
−0.997855 + 0.0654662i \(0.979147\pi\)
\(348\) 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 \(0.328506\pi\)
\(350\) 3.71503 + 21.2028i 0.198577 + 1.13334i
\(351\) −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 0.734428 0.678687i \(-0.237451\pi\)
−0.567259 + 0.823540i \(0.691996\pi\)
\(354\) 2.32097 16.1427i 0.123358 0.857976i
\(355\) −12.8837 27.1041i −0.683794 1.43854i
\(356\) 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 \(0.975081\pi\)
\(360\) −4.36892 3.66998i −0.230262 0.193425i
\(361\) 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
\(365\) 22.7193 20.3043i 1.18918 1.06278i
\(366\) 21.3353 6.26460i 1.11521 0.327456i
\(367\) 15.5128i 0.809762i −0.914369 0.404881i \(-0.867313\pi\)
0.914369 0.404881i \(-0.132687\pi\)
\(368\) 4.78597 + 0.307328i 0.249486 + 0.0160206i
\(369\) 7.72680 0.402241
\(370\) −12.4192 + 3.85431i −0.645643 + 0.200376i
\(371\) −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 0.417240 0.908797i \(-0.362998\pi\)
0.656376 + 0.754434i \(0.272088\pi\)
\(374\) 4.08964 + 2.62825i 0.211470 + 0.135904i
\(375\) 24.4403 + 9.83037i 1.26209 + 0.507638i
\(376\) 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 \(0.395899\pi\)
\(380\) −15.7606 4.36651i −0.808504 0.223997i
\(381\) 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 0.0105049 0.999945i \(-0.496656\pi\)
−0.988272 + 0.152705i \(0.951202\pi\)
\(384\) 0.978804 2.14328i 0.0499494 0.109374i
\(385\) −6.64169 + 10.6915i −0.338492 + 0.544888i
\(386\) 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
\(395\) −30.6932 + 20.3967i −1.54434 + 1.02627i
\(396\) −0.474802 3.30232i −0.0238597 0.165948i
\(397\) −0.988968 + 1.53886i −0.0496349 + 0.0772334i −0.865184 0.501454i \(-0.832799\pi\)
0.815549 + 0.578688i \(0.196435\pi\)
\(398\) 6.61718 + 3.02197i 0.331689 + 0.151477i
\(399\) −48.5847 + 56.0698i −2.43228 + 2.80700i
\(400\) −0.559555 + 4.96859i −0.0279777 + 0.248430i
\(401\) 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
\(405\) 2.88357 22.4984i 0.143286 1.11796i
\(406\) −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 \(0.694570\pi\)
\(410\) −3.74755 5.63935i −0.185078 0.278508i
\(411\) 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 \(-0.177750\pi\)
\(420\) 19.2673 + 11.9691i 0.940149 + 0.584033i
\(421\) 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
\(425\) −4.68847 + 17.9899i −0.227424 + 0.872638i
\(426\) −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
\(430\) −2.98777 + 6.81691i −0.144083 + 0.328741i
\(431\) 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 \(-0.976464\pi\)
0.347081 0.937835i \(-0.387173\pi\)
\(434\) −13.3125 15.3634i −0.639020 0.737469i
\(435\) 3.62374 + 11.6763i 0.173745 + 0.559834i
\(436\) 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 \(0.472136\pi\)
\(440\) −2.17989 + 1.94818i −0.103922 + 0.0928757i
\(441\) 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 \(-0.547116\pi\)
0.960950 0.276720i \(-0.0892476\pi\)
\(444\) −5.69210 + 12.4640i −0.270135 + 0.591513i
\(445\) −13.4770 + 16.0436i −0.638870 + 0.760541i
\(446\) 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 \(0.621451\pi\)
\(450\) 11.4377 5.65331i 0.539179 0.266500i
\(451\) 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
\(455\) 5.50782 + 34.5409i 0.258210 + 1.61930i
\(456\) −14.4973 + 9.31687i −0.678900 + 0.436303i
\(457\) −15.0947 + 13.0796i −0.706098 + 0.611837i −0.932062 0.362298i \(-0.881992\pi\)
0.225964 + 0.974136i \(0.427447\pi\)
\(458\) −5.44750 18.5525i −0.254545 0.866900i
\(459\) 3.92733 0.183312
\(460\) −4.92536 + 9.52580i −0.229646 + 0.444143i
\(461\) 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 −0.323552 0.946210i \(-0.604877\pi\)
0.890533 + 0.454918i \(0.150332\pi\)
\(464\) −1.95209 + 1.25453i −0.0906236 + 0.0582403i
\(465\) −24.5678 + 3.91754i −1.13931 + 0.181671i
\(466\) 7.09317 + 4.55850i 0.328585 + 0.211169i
\(467\) −8.33114 3.80470i −0.385519 0.176061i 0.213221 0.977004i \(-0.431605\pi\)
−0.598740 + 0.800943i \(0.704332\pi\)
\(468\) −7.00682 6.07145i −0.323891 0.280653i
\(469\) −2.04581 + 14.2289i −0.0944669 + 0.657031i
\(470\) 5.21410 + 10.9692i 0.240508 + 0.505971i
\(471\) 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
\(475\) 23.0896 28.3583i 1.05942 1.30117i
\(476\) −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 \(0.277621\pi\)
\(480\) 3.51085 + 3.92843i 0.160247 + 0.179307i
\(481\) −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
\(485\) 3.23001 + 10.4076i 0.146667 + 0.472585i
\(486\) −13.5768 15.6685i −0.615857 0.710736i
\(487\) 11.0677 + 17.2216i 0.501524 + 0.780387i 0.996052 0.0887749i \(-0.0282952\pi\)
−0.494527 + 0.869162i \(0.664659\pi\)
\(488\) −9.34114 + 1.34305i −0.422854 + 0.0607972i
\(489\) −8.93174 5.74008i −0.403907 0.259575i
\(490\) −23.6225 10.3535i −1.06715 0.467722i
\(491\) 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
\(495\) 7.18932 + 1.99181i 0.323136 + 0.0895253i
\(496\) −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 \(-0.242263\pi\)
\(500\) −9.67339 5.60584i −0.432607 0.250701i
\(501\) 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 −0.644081 0.764958i \(-0.722760\pi\)
0.665509 + 0.746390i \(0.268214\pi\)
\(504\) 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 \(0.587638\pi\)
\(510\) 10.8423 + 16.3156i 0.480105 + 0.722467i
\(511\) 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
\(515\) −24.4252 3.13052i −1.07630 0.137947i
\(516\) 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
\(520\) −1.03285 + 8.05858i −0.0452935 + 0.353392i
\(521\) 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 −0.586695 0.809808i \(-0.699571\pi\)
0.980349 + 0.197270i \(0.0632075\pi\)
\(524\) −1.15328 8.02127i −0.0503814 0.350411i
\(525\) −41.8073 + 28.7158i −1.82462 + 1.25326i
\(526\) 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
\(535\) −18.4854 + 29.7569i −0.799193 + 1.28650i
\(536\) −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
\(540\) −0.630603 + 2.27612i −0.0271368 + 0.0979487i
\(541\) −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
\(545\) −13.1320 + 29.9621i −0.562515 + 1.28344i
\(546\) 31.0057 + 19.9262i 1.32692 + 0.852761i
\(547\) 14.2854 2.05393i 0.610800 0.0878198i 0.170029 0.985439i \(-0.445614\pi\)
0.440772 + 0.897619i \(0.354705\pi\)
\(548\) −0.852246 1.32612i −0.0364062 0.0566491i
\(549\) 15.7697 + 18.1992i 0.673035 + 0.776724i
\(550\) −2.03316 6.21312i −0.0866942 0.264928i
\(551\) 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
\(555\) −20.4168 22.8452i −0.866646 0.969725i
\(556\) −6.57392 + 4.22480i −0.278796 + 0.179171i
\(557\) 37.5963 5.40552i 1.59300 0.229039i 0.712011 0.702168i \(-0.247785\pi\)
0.880993 + 0.473129i \(0.156875\pi\)
\(558\) −6.51421 + 10.1363i −0.275768 + 0.429104i
\(559\) −5.02403 + 11.0011i −0.212494 + 0.465296i
\(560\) −7.37109 6.19186i −0.311485 0.261654i
\(561\) −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 \(0.192852\pi\)
−0.999399 + 0.0346574i \(0.988966\pi\)
\(564\) 12.2795 + 3.60559i 0.517061 + 0.151823i
\(565\) 17.3719 8.25756i 0.730841 0.347398i
\(566\) 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 \(0.680619\pi\)
\(570\) −6.06792 38.0534i −0.254157 1.59388i
\(571\) 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
\(575\) −15.0877 18.6376i −0.629202 0.777242i
\(576\) 2.55171 0.106321
\(577\) −1.77803 6.05543i −0.0740205 0.252091i 0.914168 0.405336i \(-0.132846\pi\)
−0.988188 + 0.153246i \(0.951027\pi\)
\(578\) 2.39971 2.07936i 0.0998147 0.0864900i
\(579\) −8.85041 + 5.68781i −0.367810 + 0.236377i
\(580\) −0.817056 5.12397i −0.0339264 0.212761i
\(581\) −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
\(585\) 18.7237 8.90014i 0.774131 0.367975i
\(586\) −12.0976 3.55219i −0.499749 0.146740i
\(587\) 4.05904 13.8238i 0.167534 0.570570i −0.832333 0.554276i \(-0.812995\pi\)
0.999867 0.0162937i \(-0.00518666\pi\)
\(588\) −24.7215 + 11.2899i −1.01950 + 0.465589i
\(589\) −4.91495 + 34.1842i −0.202517 + 1.40854i
\(590\) −11.8508 9.95493i −0.487891 0.409838i
\(591\) 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 −0.302356 0.953195i \(-0.597773\pi\)
−0.0215620 + 0.999768i \(0.506864\pi\)
\(594\) −1.16179 + 0.746635i −0.0476687 + 0.0306348i
\(595\) −23.8515 26.6884i −0.977817 1.09412i
\(596\) 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 \(0.601549\pi\)
\(600\) −11.1968 + 3.66399i −0.457107 + 0.149582i
\(601\) −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
\(605\) −8.33931 + 19.0270i −0.339041 + 0.773557i
\(606\) 2.65233 3.06095i 0.107743 0.124342i
\(607\) 14.0371 + 2.01823i 0.569747 + 0.0819173i 0.421167 0.906983i \(-0.361621\pi\)
0.148580 + 0.988900i \(0.452530\pi\)
\(608\) 6.65294 3.03830i 0.269812 0.123219i
\(609\) −22.5849 6.63153i −0.915187 0.268723i
\(610\) 5.63416 20.3362i 0.228121 0.823387i
\(611\) 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 0.996359 0.0852535i \(-0.0271700\pi\)
0.0574110 + 0.998351i \(0.481715\pi\)
\(614\) 5.10847 11.1860i 0.206161 0.451430i
\(615\) 8.41860 13.5519i 0.339471 0.546464i
\(616\) −0.801069 5.57156i −0.0322760 0.224484i
\(617\) −6.79302 10.5702i −0.273477 0.425538i 0.677164 0.735832i \(-0.263209\pi\)
−0.950641 + 0.310294i \(0.899572\pi\)
\(618\) −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
\(625\) 20.1637 14.7792i 0.806548 0.591168i
\(626\) 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
\(630\) −3.12282 + 24.3651i −0.124416 + 0.970729i
\(631\) 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
\(635\) 13.9807 + 1.79188i 0.554809 + 0.0711086i
\(636\) 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
\(640\) −1.23760 1.86235i −0.0489204 0.0736159i
\(641\) −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 \(0.0484906\pi\)
−0.988419 + 0.151749i \(0.951509\pi\)
\(644\) −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 \(0.558632\pi\)
−0.999143 + 0.0413863i \(0.986823\pi\)
\(648\) 5.48421 + 8.53359i 0.215440 + 0.335231i
\(649\) −1.28791 8.95764i −0.0505550 0.351618i
\(650\) −15.5768 9.34876i −0.610974 0.366689i
\(651\) 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 −0.616546 0.787319i \(-0.711469\pi\)
−0.813385 + 0.581726i \(0.802378\pi\)
\(654\) 14.3199 + 31.3561i 0.559951 + 1.22612i
\(655\) 17.4627 + 4.83808i 0.682325 + 0.189039i
\(656\) 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 \(0.161918\pi\)
\(660\) −6.30918 2.76524i −0.245584 0.107637i
\(661\) −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
\(665\) 20.8693 + 67.2441i 0.809277 + 2.60761i
\(666\) −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
\(670\) −4.97536 5.56713i −0.192215 0.215077i
\(671\) 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 −0.916621 0.399758i \(-0.869094\pi\)
0.744411 + 0.667722i \(0.232730\pi\)
\(674\) −4.93504 + 10.8062i −0.190091 + 0.416240i
\(675\) −4.09545 3.33455i −0.157634 0.128347i
\(676\) −0.0286751 + 0.199440i −0.00110289 + 0.00767075i
\(677\) −31.2828 + 14.2864i −1.20229 + 0.549069i −0.912917 0.408146i \(-0.866175\pi\)
−0.289377 + 0.957215i \(0.593448\pi\)
\(678\) 5.71017 19.4471i 0.219298 0.746860i
\(679\) −20.1310 5.91099i −0.772557 0.226843i
\(680\) −3.56929 7.50892i −0.136876 0.287954i
\(681\) −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 0.987534 0.157407i \(-0.0503134\pi\)
0.527737 + 0.849408i \(0.323041\pi\)
\(684\) −15.7002 10.0899i −0.600314 0.385798i
\(685\) 3.48088 0.555053i 0.132998 0.0212075i
\(686\) 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
\(690\) −25.2374 1.23255i −0.960773 0.0469224i
\(691\) 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
\(695\) −2.75154 17.2556i −0.104372 0.654542i
\(696\) −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
\(700\) 19.2973 9.53807i 0.729370 0.360505i
\(701\) 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
\(705\) −18.4065 + 21.9120i −0.693229 + 0.825253i
\(706\) 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 \(0.232451\pi\)
\(710\) −22.3764 + 19.9979i −0.839773 + 0.750508i
\(711\) −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
\(715\) −3.14856 10.1451i −0.117749 0.379407i
\(716\) 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 \(0.701402\pi\)
\(720\) −2.29045 + 5.22590i −0.0853601 + 0.194758i
\(721\) 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
\(725\) 11.2273 + 2.92601i 0.416970 + 0.108669i
\(726\) 9.09361 + 19.9122i 0.337496 + 0.739012i
\(727\) −18.0406 2.59385i −0.669090 0.0962007i −0.200605 0.979672i \(-0.564291\pi\)
−0.468485 + 0.883471i \(0.655200\pi\)
\(728\) −11.8217 10.2435i −0.438140 0.379651i
\(729\) 7.65113 16.7536i 0.283375 0.620505i
\(730\) −25.8827 16.0787i −0.957960 0.595098i
\(731\) −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 \(-0.451385\pi\)
0.999951 0.00992778i \(-0.00316016\pi\)
\(734\) −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 \(0.549085\pi\)
\(740\) 7.19708 + 10.8302i 0.264570 + 0.398128i
\(741\) −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 0.821706 0.569911i \(-0.193022\pi\)
0.107393 + 0.994217i \(0.465750\pi\)
\(744\) 7.28590 8.40838i 0.267114 0.308266i
\(745\) −4.02386 + 31.3952i −0.147423 + 1.15023i
\(746\) −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
\(750\) 2.54654 26.2198i 0.0929865 0.957413i
\(751\) −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
\(755\) −16.1352 + 10.7224i −0.587218 + 0.390227i
\(756\) −2.97789 3.43666i −0.108305 0.124990i
\(757\) 1.36271 + 4.64095i 0.0495284 + 0.168678i 0.980543 0.196303i \(-0.0628936\pi\)
−0.931015 + 0.364981i \(0.881075\pi\)
\(758\) 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
\(765\) −11.1949 + 18.0210i −0.404751 + 0.651550i
\(766\) −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 \(0.878455\pi\)
\(770\) 12.1296 + 3.36052i 0.437120 + 0.121105i
\(771\) 54.3393 + 15.9555i 1.95698 + 0.574622i
\(772\) 4.06152 1.85483i 0.146177 0.0667569i
\(773\)