Properties

Label 260.2.o.a.183.36
Level $260$
Weight $2$
Character 260.183
Analytic conductor $2.076$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 260.o (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.07611045255\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(36\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 183.36
Character \(\chi\) \(=\) 260.183
Dual form 260.2.o.a.27.36

$q$-expansion

\(f(q)\) \(=\) \(q+(1.41351 + 0.0447185i) q^{2} +(-1.60820 + 1.60820i) q^{3} +(1.99600 + 0.126420i) q^{4} +(1.86263 - 1.23718i) q^{5} +(-2.34511 + 2.20128i) q^{6} +(0.275770 + 0.275770i) q^{7} +(2.81571 + 0.267954i) q^{8} -2.17259i q^{9} +O(q^{10})\) \(q+(1.41351 + 0.0447185i) q^{2} +(-1.60820 + 1.60820i) q^{3} +(1.99600 + 0.126420i) q^{4} +(1.86263 - 1.23718i) q^{5} +(-2.34511 + 2.20128i) q^{6} +(0.275770 + 0.275770i) q^{7} +(2.81571 + 0.267954i) q^{8} -2.17259i q^{9} +(2.68816 - 1.66547i) q^{10} +0.822170i q^{11} +(-3.41327 + 3.00665i) q^{12} +(0.707107 + 0.707107i) q^{13} +(0.377470 + 0.402134i) q^{14} +(-1.00584 + 4.98510i) q^{15} +(3.96804 + 0.504668i) q^{16} +(-4.59726 + 4.59726i) q^{17} +(0.0971552 - 3.07097i) q^{18} -2.21590 q^{19} +(3.87421 - 2.23394i) q^{20} -0.886983 q^{21} +(-0.0367662 + 1.16214i) q^{22} +(2.72038 - 2.72038i) q^{23} +(-4.95913 + 4.09729i) q^{24} +(1.93876 - 4.60882i) q^{25} +(0.967879 + 1.03112i) q^{26} +(-1.33063 - 1.33063i) q^{27} +(0.515573 + 0.585299i) q^{28} -7.29375i q^{29} +(-1.64469 + 7.00150i) q^{30} -9.35295i q^{31} +(5.58628 + 0.890797i) q^{32} +(-1.32221 - 1.32221i) q^{33} +(-6.70384 + 6.29268i) q^{34} +(0.854833 + 0.172479i) q^{35} +(0.274659 - 4.33650i) q^{36} +(-4.29663 + 4.29663i) q^{37} +(-3.13219 - 0.0990918i) q^{38} -2.27433 q^{39} +(5.57612 - 2.98444i) q^{40} +1.02689 q^{41} +(-1.25376 - 0.0396646i) q^{42} +(-4.26400 + 4.26400i) q^{43} +(-0.103939 + 1.64105i) q^{44} +(-2.68789 - 4.04673i) q^{45} +(3.96693 - 3.72363i) q^{46} +(3.16032 + 3.16032i) q^{47} +(-7.19299 + 5.56978i) q^{48} -6.84790i q^{49} +(2.94655 - 6.42790i) q^{50} -14.7866i q^{51} +(1.32199 + 1.50078i) q^{52} +(0.615128 + 0.615128i) q^{53} +(-1.82135 - 1.94036i) q^{54} +(1.01717 + 1.53140i) q^{55} +(0.702593 + 0.850379i) q^{56} +(3.56360 - 3.56360i) q^{57} +(0.326166 - 10.3098i) q^{58} -12.3097 q^{59} +(-2.63787 + 9.82311i) q^{60} +1.78854 q^{61} +(0.418250 - 13.2205i) q^{62} +(0.599135 - 0.599135i) q^{63} +(7.85640 + 1.50896i) q^{64} +(2.19190 + 0.442257i) q^{65} +(-1.80983 - 1.92808i) q^{66} +(-7.04616 - 7.04616i) q^{67} +(-9.75732 + 8.59495i) q^{68} +8.74982i q^{69} +(1.20060 + 0.282027i) q^{70} +3.71294i q^{71} +(0.582154 - 6.11738i) q^{72} +(0.126153 + 0.126153i) q^{73} +(-6.26545 + 5.88117i) q^{74} +(4.29398 + 10.5298i) q^{75} +(-4.42294 - 0.280134i) q^{76} +(-0.226729 + 0.226729i) q^{77} +(-3.21479 - 0.101705i) q^{78} +8.97712 q^{79} +(8.01534 - 3.96917i) q^{80} +10.7976 q^{81} +(1.45151 + 0.0459209i) q^{82} +(-3.04802 + 3.04802i) q^{83} +(-1.77042 - 0.112132i) q^{84} +(-2.87534 + 14.2506i) q^{85} +(-6.21787 + 5.83651i) q^{86} +(11.7298 + 11.7298i) q^{87} +(-0.220303 + 2.31499i) q^{88} +12.5718i q^{89} +(-3.61839 - 5.84028i) q^{90} +0.389997i q^{91} +(5.77380 - 5.08598i) q^{92} +(15.0414 + 15.0414i) q^{93} +(4.32581 + 4.60846i) q^{94} +(-4.12740 + 2.74147i) q^{95} +(-10.4164 + 7.55125i) q^{96} +(-3.35467 + 3.35467i) q^{97} +(0.306228 - 9.67955i) q^{98} +1.78624 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q - 8 q^{6} - 12 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 72 q - 8 q^{6} - 12 q^{8} - 8 q^{10} - 8 q^{12} - 8 q^{16} + 28 q^{18} - 16 q^{21} - 8 q^{22} - 20 q^{28} - 32 q^{30} - 40 q^{32} + 16 q^{33} + 32 q^{36} - 12 q^{38} - 8 q^{40} - 40 q^{42} - 8 q^{46} + 60 q^{48} + 40 q^{50} + 8 q^{52} - 48 q^{53} + 8 q^{56} - 60 q^{58} + 20 q^{60} - 64 q^{61} + 60 q^{62} + 8 q^{66} - 16 q^{68} - 60 q^{70} + 40 q^{72} - 16 q^{73} - 72 q^{76} + 48 q^{77} - 20 q^{80} + 8 q^{81} - 12 q^{82} + 48 q^{85} + 48 q^{86} + 12 q^{88} + 44 q^{90} - 36 q^{92} + 16 q^{93} + 32 q^{96} - 80 q^{97} - 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

\(n\) \(41\) \(131\) \(157\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{3}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.41351 + 0.0447185i 0.999500 + 0.0316208i
\(3\) −1.60820 + 1.60820i −0.928493 + 0.928493i −0.997609 0.0691158i \(-0.977982\pi\)
0.0691158 + 0.997609i \(0.477982\pi\)
\(4\) 1.99600 + 0.126420i 0.998000 + 0.0632099i
\(5\) 1.86263 1.23718i 0.832992 0.553285i
\(6\) −2.34511 + 2.20128i −0.957388 + 0.898669i
\(7\) 0.275770 + 0.275770i 0.104231 + 0.104231i 0.757299 0.653068i \(-0.226518\pi\)
−0.653068 + 0.757299i \(0.726518\pi\)
\(8\) 2.81571 + 0.267954i 0.995502 + 0.0947359i
\(9\) 2.17259i 0.724198i
\(10\) 2.68816 1.66547i 0.850071 0.526668i
\(11\) 0.822170i 0.247894i 0.992289 + 0.123947i \(0.0395552\pi\)
−0.992289 + 0.123947i \(0.960445\pi\)
\(12\) −3.41327 + 3.00665i −0.985326 + 0.867946i
\(13\) 0.707107 + 0.707107i 0.196116 + 0.196116i
\(14\) 0.377470 + 0.402134i 0.100883 + 0.107475i
\(15\) −1.00584 + 4.98510i −0.259707 + 1.28715i
\(16\) 3.96804 + 0.504668i 0.992009 + 0.126167i
\(17\) −4.59726 + 4.59726i −1.11500 + 1.11500i −0.122536 + 0.992464i \(0.539103\pi\)
−0.992464 + 0.122536i \(0.960897\pi\)
\(18\) 0.0971552 3.07097i 0.0228997 0.723836i
\(19\) −2.21590 −0.508362 −0.254181 0.967157i \(-0.581806\pi\)
−0.254181 + 0.967157i \(0.581806\pi\)
\(20\) 3.87421 2.23394i 0.866300 0.499525i
\(21\) −0.886983 −0.193556
\(22\) −0.0367662 + 1.16214i −0.00783859 + 0.247770i
\(23\) 2.72038 2.72038i 0.567239 0.567239i −0.364115 0.931354i \(-0.618628\pi\)
0.931354 + 0.364115i \(0.118628\pi\)
\(24\) −4.95913 + 4.09729i −1.01228 + 0.836355i
\(25\) 1.93876 4.60882i 0.387752 0.921764i
\(26\) 0.967879 + 1.03112i 0.189817 + 0.202219i
\(27\) −1.33063 1.33063i −0.256080 0.256080i
\(28\) 0.515573 + 0.585299i 0.0974342 + 0.110611i
\(29\) 7.29375i 1.35442i −0.735792 0.677208i \(-0.763190\pi\)
0.735792 0.677208i \(-0.236810\pi\)
\(30\) −1.64469 + 7.00150i −0.300277 + 1.27829i
\(31\) 9.35295i 1.67984i −0.542711 0.839920i \(-0.682602\pi\)
0.542711 0.839920i \(-0.317398\pi\)
\(32\) 5.58628 + 0.890797i 0.987523 + 0.157472i
\(33\) −1.32221 1.32221i −0.230167 0.230167i
\(34\) −6.70384 + 6.29268i −1.14970 + 1.07919i
\(35\) 0.854833 + 0.172479i 0.144493 + 0.0291542i
\(36\) 0.274659 4.33650i 0.0457765 0.722750i
\(37\) −4.29663 + 4.29663i −0.706361 + 0.706361i −0.965768 0.259407i \(-0.916473\pi\)
0.259407 + 0.965768i \(0.416473\pi\)
\(38\) −3.13219 0.0990918i −0.508108 0.0160748i
\(39\) −2.27433 −0.364185
\(40\) 5.57612 2.98444i 0.881662 0.471882i
\(41\) 1.02689 0.160373 0.0801865 0.996780i \(-0.474448\pi\)
0.0801865 + 0.996780i \(0.474448\pi\)
\(42\) −1.25376 0.0396646i −0.193459 0.00612038i
\(43\) −4.26400 + 4.26400i −0.650253 + 0.650253i −0.953054 0.302801i \(-0.902078\pi\)
0.302801 + 0.953054i \(0.402078\pi\)
\(44\) −0.103939 + 1.64105i −0.0156693 + 0.247398i
\(45\) −2.68789 4.04673i −0.400687 0.603251i
\(46\) 3.96693 3.72363i 0.584892 0.549019i
\(47\) 3.16032 + 3.16032i 0.460981 + 0.460981i 0.898977 0.437996i \(-0.144312\pi\)
−0.437996 + 0.898977i \(0.644312\pi\)
\(48\) −7.19299 + 5.56978i −1.03822 + 0.803928i
\(49\) 6.84790i 0.978272i
\(50\) 2.94655 6.42790i 0.416705 0.909042i
\(51\) 14.7866i 2.07054i
\(52\) 1.32199 + 1.50078i 0.183327 + 0.208120i
\(53\) 0.615128 + 0.615128i 0.0844943 + 0.0844943i 0.748091 0.663596i \(-0.230971\pi\)
−0.663596 + 0.748091i \(0.730971\pi\)
\(54\) −1.82135 1.94036i −0.247855 0.264050i
\(55\) 1.01717 + 1.53140i 0.137156 + 0.206493i
\(56\) 0.702593 + 0.850379i 0.0938879 + 0.113637i
\(57\) 3.56360 3.56360i 0.472011 0.472011i
\(58\) 0.326166 10.3098i 0.0428277 1.35374i
\(59\) −12.3097 −1.60258 −0.801291 0.598275i \(-0.795853\pi\)
−0.801291 + 0.598275i \(0.795853\pi\)
\(60\) −2.63787 + 9.82311i −0.340548 + 1.26816i
\(61\) 1.78854 0.229000 0.114500 0.993423i \(-0.463473\pi\)
0.114500 + 0.993423i \(0.463473\pi\)
\(62\) 0.418250 13.2205i 0.0531178 1.67900i
\(63\) 0.599135 0.599135i 0.0754839 0.0754839i
\(64\) 7.85640 + 1.50896i 0.982050 + 0.188620i
\(65\) 2.19190 + 0.442257i 0.271871 + 0.0548552i
\(66\) −1.80983 1.92808i −0.222774 0.237330i
\(67\) −7.04616 7.04616i −0.860825 0.860825i 0.130609 0.991434i \(-0.458307\pi\)
−0.991434 + 0.130609i \(0.958307\pi\)
\(68\) −9.75732 + 8.59495i −1.18325 + 1.04229i
\(69\) 8.74982i 1.05335i
\(70\) 1.20060 + 0.282027i 0.143499 + 0.0337086i
\(71\) 3.71294i 0.440645i 0.975427 + 0.220322i \(0.0707110\pi\)
−0.975427 + 0.220322i \(0.929289\pi\)
\(72\) 0.582154 6.11738i 0.0686075 0.720941i
\(73\) 0.126153 + 0.126153i 0.0147650 + 0.0147650i 0.714451 0.699686i \(-0.246677\pi\)
−0.699686 + 0.714451i \(0.746677\pi\)
\(74\) −6.26545 + 5.88117i −0.728344 + 0.683672i
\(75\) 4.29398 + 10.5298i 0.495826 + 1.21588i
\(76\) −4.42294 0.280134i −0.507346 0.0321335i
\(77\) −0.226729 + 0.226729i −0.0258382 + 0.0258382i
\(78\) −3.21479 0.101705i −0.364003 0.0115158i
\(79\) 8.97712 1.01000 0.505002 0.863118i \(-0.331492\pi\)
0.505002 + 0.863118i \(0.331492\pi\)
\(80\) 8.01534 3.96917i 0.896142 0.443767i
\(81\) 10.7976 1.19974
\(82\) 1.45151 + 0.0459209i 0.160293 + 0.00507112i
\(83\) −3.04802 + 3.04802i −0.334563 + 0.334563i −0.854316 0.519753i \(-0.826024\pi\)
0.519753 + 0.854316i \(0.326024\pi\)
\(84\) −1.77042 0.112132i −0.193169 0.0122346i
\(85\) −2.87534 + 14.2506i −0.311874 + 1.54570i
\(86\) −6.21787 + 5.83651i −0.670490 + 0.629367i
\(87\) 11.7298 + 11.7298i 1.25757 + 1.25757i
\(88\) −0.220303 + 2.31499i −0.0234844 + 0.246779i
\(89\) 12.5718i 1.33261i 0.745681 + 0.666303i \(0.232124\pi\)
−0.745681 + 0.666303i \(0.767876\pi\)
\(90\) −3.61839 5.84028i −0.381412 0.615620i
\(91\) 0.389997i 0.0408828i
\(92\) 5.77380 5.08598i 0.601960 0.530250i
\(93\) 15.0414 + 15.0414i 1.55972 + 1.55972i
\(94\) 4.32581 + 4.60846i 0.446173 + 0.475327i
\(95\) −4.12740 + 2.74147i −0.423462 + 0.281269i
\(96\) −10.4164 + 7.55125i −1.06312 + 0.770697i
\(97\) −3.35467 + 3.35467i −0.340616 + 0.340616i −0.856599 0.515983i \(-0.827427\pi\)
0.515983 + 0.856599i \(0.327427\pi\)
\(98\) 0.306228 9.67955i 0.0309337 0.977783i
\(99\) 1.78624 0.179524
\(100\) 4.45241 8.95411i 0.445241 0.895411i
\(101\) −18.1244 −1.80345 −0.901724 0.432312i \(-0.857698\pi\)
−0.901724 + 0.432312i \(0.857698\pi\)
\(102\) 0.661235 20.9010i 0.0654721 2.06950i
\(103\) 8.43451 8.43451i 0.831077 0.831077i −0.156587 0.987664i \(-0.550049\pi\)
0.987664 + 0.156587i \(0.0500492\pi\)
\(104\) 1.80153 + 2.18048i 0.176655 + 0.213813i
\(105\) −1.65212 + 1.09736i −0.161230 + 0.107091i
\(106\) 0.841980 + 0.896995i 0.0817803 + 0.0871239i
\(107\) 10.1220 + 10.1220i 0.978534 + 0.978534i 0.999774 0.0212405i \(-0.00676156\pi\)
−0.0212405 + 0.999774i \(0.506762\pi\)
\(108\) −2.48772 2.82416i −0.239381 0.271755i
\(109\) 6.02509i 0.577099i 0.957465 + 0.288549i \(0.0931729\pi\)
−0.957465 + 0.288549i \(0.906827\pi\)
\(110\) 1.36930 + 2.21012i 0.130558 + 0.210727i
\(111\) 13.8196i 1.31170i
\(112\) 0.955091 + 1.23344i 0.0902476 + 0.116549i
\(113\) −7.28057 7.28057i −0.684898 0.684898i 0.276202 0.961100i \(-0.410924\pi\)
−0.961100 + 0.276202i \(0.910924\pi\)
\(114\) 5.19653 4.87782i 0.486700 0.456849i
\(115\) 1.70145 8.43267i 0.158661 0.786351i
\(116\) 0.922075 14.5583i 0.0856125 1.35171i
\(117\) 1.53626 1.53626i 0.142027 0.142027i
\(118\) −17.3998 0.550470i −1.60178 0.0506749i
\(119\) −2.53557 −0.232435
\(120\) −4.16792 + 13.7671i −0.380478 + 1.25676i
\(121\) 10.3240 0.938549
\(122\) 2.52812 + 0.0799810i 0.228885 + 0.00724114i
\(123\) −1.65144 + 1.65144i −0.148905 + 0.148905i
\(124\) 1.18240 18.6685i 0.106183 1.67648i
\(125\) −2.09076 10.9831i −0.187003 0.982359i
\(126\) 0.873674 0.820089i 0.0778330 0.0730593i
\(127\) 2.64277 + 2.64277i 0.234508 + 0.234508i 0.814571 0.580064i \(-0.196972\pi\)
−0.580064 + 0.814571i \(0.696972\pi\)
\(128\) 11.0376 + 2.48425i 0.975595 + 0.219578i
\(129\) 13.7147i 1.20751i
\(130\) 3.07848 + 0.723151i 0.270001 + 0.0634245i
\(131\) 14.9688i 1.30783i 0.756567 + 0.653916i \(0.226875\pi\)
−0.756567 + 0.653916i \(0.773125\pi\)
\(132\) −2.47198 2.80629i −0.215158 0.244256i
\(133\) −0.611078 0.611078i −0.0529871 0.0529871i
\(134\) −9.64469 10.2749i −0.833174 0.887614i
\(135\) −4.12471 0.832238i −0.354998 0.0716276i
\(136\) −14.1764 + 11.7127i −1.21562 + 1.00435i
\(137\) 0.764404 0.764404i 0.0653075 0.0653075i −0.673699 0.739006i \(-0.735295\pi\)
0.739006 + 0.673699i \(0.235295\pi\)
\(138\) −0.391279 + 12.3679i −0.0333079 + 1.05283i
\(139\) 18.3089 1.55294 0.776469 0.630156i \(-0.217009\pi\)
0.776469 + 0.630156i \(0.217009\pi\)
\(140\) 1.68444 + 0.452336i 0.142361 + 0.0382293i
\(141\) −10.1648 −0.856034
\(142\) −0.166037 + 5.24826i −0.0139335 + 0.440425i
\(143\) −0.581362 + 0.581362i −0.0486159 + 0.0486159i
\(144\) 1.09644 8.62093i 0.0913699 0.718411i
\(145\) −9.02370 13.5855i −0.749377 1.12822i
\(146\) 0.172676 + 0.183959i 0.0142908 + 0.0152245i
\(147\) 11.0128 + 11.0128i 0.908318 + 0.908318i
\(148\) −9.11925 + 8.03289i −0.749598 + 0.660300i
\(149\) 1.16451i 0.0954004i −0.998862 0.0477002i \(-0.984811\pi\)
0.998862 0.0477002i \(-0.0151892\pi\)
\(150\) 5.59869 + 15.0760i 0.457131 + 1.23095i
\(151\) 1.00865i 0.0820831i −0.999157 0.0410416i \(-0.986932\pi\)
0.999157 0.0410416i \(-0.0130676\pi\)
\(152\) −6.23932 0.593758i −0.506076 0.0481601i
\(153\) 9.98798 + 9.98798i 0.807481 + 0.807481i
\(154\) −0.330622 + 0.310344i −0.0266423 + 0.0250083i
\(155\) −11.5713 17.4211i −0.929429 1.39929i
\(156\) −4.53957 0.287521i −0.363457 0.0230201i
\(157\) −13.9094 + 13.9094i −1.11009 + 1.11009i −0.116953 + 0.993138i \(0.537313\pi\)
−0.993138 + 0.116953i \(0.962687\pi\)
\(158\) 12.6892 + 0.401443i 1.00950 + 0.0319371i
\(159\) −1.97849 −0.156905
\(160\) 11.5072 5.25202i 0.909726 0.415209i
\(161\) 1.50040 0.118248
\(162\) 15.2625 + 0.482854i 1.19914 + 0.0379366i
\(163\) 15.4779 15.4779i 1.21232 1.21232i 0.242065 0.970260i \(-0.422175\pi\)
0.970260 0.242065i \(-0.0778246\pi\)
\(164\) 2.04967 + 0.129819i 0.160052 + 0.0101372i
\(165\) −4.09860 0.826971i −0.319076 0.0643796i
\(166\) −4.44469 + 4.17209i −0.344975 + 0.323817i
\(167\) 13.0603 + 13.0603i 1.01064 + 1.01064i 0.999943 + 0.0106938i \(0.00340399\pi\)
0.0106938 + 0.999943i \(0.496596\pi\)
\(168\) −2.49748 0.237670i −0.192685 0.0183367i
\(169\) 1.00000i 0.0769231i
\(170\) −4.70157 + 20.0148i −0.360594 + 1.53506i
\(171\) 4.81425i 0.368155i
\(172\) −9.04999 + 7.97189i −0.690055 + 0.607851i
\(173\) −1.88337 1.88337i −0.143190 0.143190i 0.631878 0.775068i \(-0.282284\pi\)
−0.775068 + 0.631878i \(0.782284\pi\)
\(174\) 16.0556 + 17.1047i 1.21717 + 1.29670i
\(175\) 1.80562 0.736320i 0.136492 0.0556606i
\(176\) −0.414923 + 3.26240i −0.0312760 + 0.245913i
\(177\) 19.7964 19.7964i 1.48799 1.48799i
\(178\) −0.562192 + 17.7703i −0.0421380 + 1.33194i
\(179\) −3.78420 −0.282845 −0.141422 0.989949i \(-0.545168\pi\)
−0.141422 + 0.989949i \(0.545168\pi\)
\(180\) −4.85345 8.41708i −0.361755 0.627372i
\(181\) 14.3395 1.06585 0.532923 0.846164i \(-0.321094\pi\)
0.532923 + 0.846164i \(0.321094\pi\)
\(182\) −0.0174401 + 0.551263i −0.00129275 + 0.0408624i
\(183\) −2.87633 + 2.87633i −0.212624 + 0.212624i
\(184\) 8.38874 6.93086i 0.618426 0.510950i
\(185\) −2.68731 + 13.3187i −0.197575 + 0.979212i
\(186\) 20.5885 + 21.9337i 1.50962 + 1.60826i
\(187\) −3.77973 3.77973i −0.276401 0.276401i
\(188\) 5.90848 + 6.70753i 0.430920 + 0.489197i
\(189\) 0.733896i 0.0533831i
\(190\) −5.95669 + 3.69052i −0.432144 + 0.267738i
\(191\) 3.78197i 0.273654i −0.990595 0.136827i \(-0.956310\pi\)
0.990595 0.136827i \(-0.0436904\pi\)
\(192\) −15.0613 + 10.2079i −1.08696 + 0.736695i
\(193\) 3.49821 + 3.49821i 0.251807 + 0.251807i 0.821711 0.569904i \(-0.193020\pi\)
−0.569904 + 0.821711i \(0.693020\pi\)
\(194\) −4.89187 + 4.59184i −0.351216 + 0.329675i
\(195\) −4.23624 + 2.81376i −0.303363 + 0.201498i
\(196\) 0.865711 13.6684i 0.0618365 0.976315i
\(197\) −16.9407 + 16.9407i −1.20698 + 1.20698i −0.234977 + 0.972001i \(0.575501\pi\)
−0.972001 + 0.234977i \(0.924499\pi\)
\(198\) 2.52486 + 0.0798781i 0.179434 + 0.00567669i
\(199\) −25.9852 −1.84204 −0.921020 0.389515i \(-0.872643\pi\)
−0.921020 + 0.389515i \(0.872643\pi\)
\(200\) 6.69393 12.4576i 0.473332 0.880884i
\(201\) 22.6632 1.59854
\(202\) −25.6190 0.810498i −1.80255 0.0570264i
\(203\) 2.01139 2.01139i 0.141172 0.141172i
\(204\) 1.86932 29.5141i 0.130879 2.06640i
\(205\) 1.91271 1.27045i 0.133589 0.0887319i
\(206\) 12.2994 11.5451i 0.856941 0.804382i
\(207\) −5.91029 5.91029i −0.410793 0.410793i
\(208\) 2.44897 + 3.16268i 0.169806 + 0.219292i
\(209\) 1.82185i 0.126020i
\(210\) −2.38435 + 1.47724i −0.164536 + 0.101940i
\(211\) 5.58430i 0.384439i −0.981352 0.192219i \(-0.938431\pi\)
0.981352 0.192219i \(-0.0615685\pi\)
\(212\) 1.15003 + 1.30556i 0.0789845 + 0.0896662i
\(213\) −5.97114 5.97114i −0.409136 0.409136i
\(214\) 13.8549 + 14.7602i 0.947103 + 1.00899i
\(215\) −2.66690 + 13.2176i −0.181881 + 0.901431i
\(216\) −3.39012 4.10322i −0.230669 0.279189i
\(217\) 2.57926 2.57926i 0.175091 0.175091i
\(218\) −0.269433 + 8.51650i −0.0182483 + 0.576810i
\(219\) −0.405756 −0.0274185
\(220\) 1.83668 + 3.18526i 0.123829 + 0.214750i
\(221\) −6.50151 −0.437339
\(222\) 0.617994 19.5342i 0.0414771 1.31105i
\(223\) 3.41426 3.41426i 0.228636 0.228636i −0.583487 0.812122i \(-0.698312\pi\)
0.812122 + 0.583487i \(0.198312\pi\)
\(224\) 1.29487 + 1.78618i 0.0865172 + 0.119344i
\(225\) −10.0131 4.21214i −0.667539 0.280809i
\(226\) −9.96555 10.6167i −0.662899 0.706213i
\(227\) −9.31565 9.31565i −0.618301 0.618301i 0.326794 0.945096i \(-0.394032\pi\)
−0.945096 + 0.326794i \(0.894032\pi\)
\(228\) 7.56346 6.66244i 0.500903 0.441231i
\(229\) 14.3456i 0.947986i −0.880529 0.473993i \(-0.842812\pi\)
0.880529 0.473993i \(-0.157188\pi\)
\(230\) 2.78211 11.8435i 0.183447 0.780940i
\(231\) 0.729251i 0.0479812i
\(232\) 1.95439 20.5371i 0.128312 1.34832i
\(233\) −1.74686 1.74686i −0.114440 0.114440i 0.647568 0.762008i \(-0.275786\pi\)
−0.762008 + 0.647568i \(0.775786\pi\)
\(234\) 2.24021 2.10281i 0.146447 0.137465i
\(235\) 9.79640 + 1.97661i 0.639047 + 0.128940i
\(236\) −24.5701 1.55619i −1.59938 0.101299i
\(237\) −14.4370 + 14.4370i −0.937782 + 0.937782i
\(238\) −3.58404 0.113387i −0.232319 0.00734979i
\(239\) −4.56207 −0.295096 −0.147548 0.989055i \(-0.547138\pi\)
−0.147548 + 0.989055i \(0.547138\pi\)
\(240\) −6.50703 + 19.2735i −0.420027 + 1.24410i
\(241\) 21.2829 1.37095 0.685475 0.728096i \(-0.259595\pi\)
0.685475 + 0.728096i \(0.259595\pi\)
\(242\) 14.5931 + 0.461676i 0.938079 + 0.0296776i
\(243\) −13.3728 + 13.3728i −0.857865 + 0.857865i
\(244\) 3.56993 + 0.226107i 0.228542 + 0.0144750i
\(245\) −8.47210 12.7551i −0.541263 0.814893i
\(246\) −2.40817 + 2.26047i −0.153539 + 0.144122i
\(247\) −1.56688 1.56688i −0.0996980 0.0996980i
\(248\) 2.50616 26.3352i 0.159141 1.67228i
\(249\) 9.80362i 0.621279i
\(250\) −2.46415 15.6182i −0.155847 0.987781i
\(251\) 25.3663i 1.60111i 0.599263 + 0.800553i \(0.295461\pi\)
−0.599263 + 0.800553i \(0.704539\pi\)
\(252\) 1.27162 1.12013i 0.0801043 0.0705616i
\(253\) 2.23662 + 2.23662i 0.140615 + 0.140615i
\(254\) 3.61739 + 3.85375i 0.226975 + 0.241806i
\(255\) −18.2937 27.5419i −1.14560 1.72474i
\(256\) 15.4906 + 4.00508i 0.968164 + 0.250318i
\(257\) 2.82314 2.82314i 0.176103 0.176103i −0.613552 0.789655i \(-0.710260\pi\)
0.789655 + 0.613552i \(0.210260\pi\)
\(258\) 0.613301 19.3858i 0.0381824 1.20691i
\(259\) −2.36976 −0.147250
\(260\) 4.31912 + 1.15984i 0.267860 + 0.0719305i
\(261\) −15.8464 −0.980865
\(262\) −0.669383 + 21.1585i −0.0413546 + 1.30718i
\(263\) −9.48595 + 9.48595i −0.584929 + 0.584929i −0.936254 0.351325i \(-0.885731\pi\)
0.351325 + 0.936254i \(0.385731\pi\)
\(264\) −3.36867 4.07725i −0.207327 0.250937i
\(265\) 1.90678 + 0.384729i 0.117133 + 0.0236337i
\(266\) −0.836436 0.891089i −0.0512852 0.0546361i
\(267\) −20.2179 20.2179i −1.23732 1.23732i
\(268\) −13.1734 14.9549i −0.804691 0.913516i
\(269\) 28.8302i 1.75781i 0.477000 + 0.878904i \(0.341724\pi\)
−0.477000 + 0.878904i \(0.658276\pi\)
\(270\) −5.79308 1.36082i −0.352556 0.0828171i
\(271\) 9.17157i 0.557133i 0.960417 + 0.278567i \(0.0898593\pi\)
−0.960417 + 0.278567i \(0.910141\pi\)
\(272\) −20.5622 + 15.9220i −1.24677 + 0.965414i
\(273\) −0.627192 0.627192i −0.0379594 0.0379594i
\(274\) 1.11467 1.04631i 0.0673399 0.0632097i
\(275\) 3.78923 + 1.59399i 0.228499 + 0.0961213i
\(276\) −1.10615 + 17.4647i −0.0665825 + 1.05125i
\(277\) 18.5053 18.5053i 1.11188 1.11188i 0.118979 0.992897i \(-0.462038\pi\)
0.992897 0.118979i \(-0.0379622\pi\)
\(278\) 25.8797 + 0.818746i 1.55216 + 0.0491051i
\(279\) −20.3202 −1.21654
\(280\) 2.36074 + 0.714705i 0.141081 + 0.0427118i
\(281\) 18.8811 1.12635 0.563176 0.826337i \(-0.309579\pi\)
0.563176 + 0.826337i \(0.309579\pi\)
\(282\) −14.3681 0.454557i −0.855606 0.0270685i
\(283\) 4.66224 4.66224i 0.277141 0.277141i −0.554826 0.831967i \(-0.687215\pi\)
0.831967 + 0.554826i \(0.187215\pi\)
\(284\) −0.469389 + 7.41103i −0.0278531 + 0.439764i
\(285\) 2.22884 11.0465i 0.132025 0.654337i
\(286\) −0.847756 + 0.795761i −0.0501289 + 0.0470543i
\(287\) 0.283184 + 0.283184i 0.0167158 + 0.0167158i
\(288\) 1.93534 12.1367i 0.114041 0.715162i
\(289\) 25.2696i 1.48645i
\(290\) −12.1475 19.6068i −0.713327 1.15135i
\(291\) 10.7900i 0.632518i
\(292\) 0.235852 + 0.267749i 0.0138022 + 0.0156688i
\(293\) −21.2736 21.2736i −1.24282 1.24282i −0.958827 0.283992i \(-0.908341\pi\)
−0.283992 0.958827i \(-0.591659\pi\)
\(294\) 15.0742 + 16.0591i 0.879142 + 0.936586i
\(295\) −22.9283 + 15.2293i −1.33494 + 0.886684i
\(296\) −13.2493 + 10.9467i −0.770102 + 0.636267i
\(297\) 1.09401 1.09401i 0.0634807 0.0634807i
\(298\) 0.0520752 1.64604i 0.00301664 0.0953527i
\(299\) 3.84720 0.222490
\(300\) 7.23960 + 21.5603i 0.417979 + 1.24479i
\(301\) −2.35176 −0.135553
\(302\) 0.0451056 1.42574i 0.00259553 0.0820421i
\(303\) 29.1476 29.1476i 1.67449 1.67449i
\(304\) −8.79277 1.11829i −0.504300 0.0641386i
\(305\) 3.33139 2.21275i 0.190755 0.126702i
\(306\) 13.6714 + 14.5647i 0.781544 + 0.832610i
\(307\) −19.0807 19.0807i −1.08899 1.08899i −0.995632 0.0933621i \(-0.970239\pi\)
−0.0933621 0.995632i \(-0.529761\pi\)
\(308\) −0.481215 + 0.423889i −0.0274198 + 0.0241533i
\(309\) 27.1287i 1.54330i
\(310\) −15.5771 25.1422i −0.884718 1.42798i
\(311\) 10.3602i 0.587475i 0.955886 + 0.293738i \(0.0948992\pi\)
−0.955886 + 0.293738i \(0.905101\pi\)
\(312\) −6.40386 0.609416i −0.362547 0.0345014i
\(313\) 5.32726 + 5.32726i 0.301114 + 0.301114i 0.841450 0.540335i \(-0.181703\pi\)
−0.540335 + 0.841450i \(0.681703\pi\)
\(314\) −20.2830 + 19.0390i −1.14464 + 1.07443i
\(315\) 0.374726 1.85720i 0.0211134 0.104642i
\(316\) 17.9183 + 1.13489i 1.00798 + 0.0638423i
\(317\) 12.8622 12.8622i 0.722415 0.722415i −0.246681 0.969097i \(-0.579340\pi\)
0.969097 + 0.246681i \(0.0793401\pi\)
\(318\) −2.79661 0.0884753i −0.156826 0.00496145i
\(319\) 5.99670 0.335751
\(320\) 16.5004 6.90918i 0.922401 0.386235i
\(321\) −32.5564 −1.81712
\(322\) 2.12082 + 0.0670956i 0.118189 + 0.00373909i
\(323\) 10.1871 10.1871i 0.566824 0.566824i
\(324\) 21.5521 + 1.36503i 1.19734 + 0.0758352i
\(325\) 4.62984 1.88802i 0.256817 0.104728i
\(326\) 22.5703 21.1860i 1.25005 1.17338i
\(327\) −9.68953 9.68953i −0.535832 0.535832i
\(328\) 2.89142 + 0.275158i 0.159652 + 0.0151931i
\(329\) 1.74304i 0.0960970i
\(330\) −5.75642 1.35221i −0.316880 0.0744368i
\(331\) 20.1455i 1.10729i 0.832751 + 0.553647i \(0.186764\pi\)
−0.832751 + 0.553647i \(0.813236\pi\)
\(332\) −6.46917 + 5.69851i −0.355042 + 0.312746i
\(333\) 9.33483 + 9.33483i 0.511545 + 0.511545i
\(334\) 17.8768 + 19.0449i 0.978174 + 1.04209i
\(335\) −21.8417 4.40698i −1.19334 0.240779i
\(336\) −3.51958 0.447632i −0.192009 0.0244203i
\(337\) −7.26448 + 7.26448i −0.395721 + 0.395721i −0.876721 0.480999i \(-0.840274\pi\)
0.480999 + 0.876721i \(0.340274\pi\)
\(338\) −0.0447185 + 1.41351i −0.00243237 + 0.0768846i
\(339\) 23.4172 1.27185
\(340\) −7.54074 + 28.0808i −0.408954 + 1.52289i
\(341\) 7.68971 0.416421
\(342\) −0.215286 + 6.80497i −0.0116413 + 0.367971i
\(343\) 3.81883 3.81883i 0.206197 0.206197i
\(344\) −13.1487 + 10.8636i −0.708931 + 0.585726i
\(345\) 10.8251 + 16.2977i 0.582805 + 0.877437i
\(346\) −2.57793 2.74638i −0.138591 0.147646i
\(347\) 21.0494 + 21.0494i 1.12999 + 1.12999i 0.990178 + 0.139816i \(0.0446510\pi\)
0.139816 + 0.990178i \(0.455349\pi\)
\(348\) 21.9298 + 24.8955i 1.17556 + 1.33454i
\(349\) 11.8903i 0.636472i 0.948011 + 0.318236i \(0.103090\pi\)
−0.948011 + 0.318236i \(0.896910\pi\)
\(350\) 2.58519 0.960049i 0.138184 0.0513168i
\(351\) 1.88180i 0.100443i
\(352\) −0.732386 + 4.59287i −0.0390363 + 0.244801i
\(353\) −8.06460 8.06460i −0.429235 0.429235i 0.459132 0.888368i \(-0.348160\pi\)
−0.888368 + 0.459132i \(0.848160\pi\)
\(354\) 28.8675 27.0970i 1.53429 1.44019i
\(355\) 4.59358 + 6.91582i 0.243802 + 0.367054i
\(356\) −1.58932 + 25.0933i −0.0842340 + 1.32994i
\(357\) 4.07770 4.07770i 0.215815 0.215815i
\(358\) −5.34899 0.169224i −0.282703 0.00894376i
\(359\) 5.29931 0.279687 0.139843 0.990174i \(-0.455340\pi\)
0.139843 + 0.990174i \(0.455340\pi\)
\(360\) −6.48398 12.1146i −0.341736 0.638497i
\(361\) −14.0898 −0.741568
\(362\) 20.2690 + 0.641241i 1.06531 + 0.0337029i
\(363\) −16.6031 + 16.6031i −0.871436 + 0.871436i
\(364\) −0.0493034 + 0.778434i −0.00258420 + 0.0408010i
\(365\) 0.391049 + 0.0789015i 0.0204684 + 0.00412989i
\(366\) −4.19434 + 3.93709i −0.219241 + 0.205795i
\(367\) −1.07021 1.07021i −0.0558647 0.0558647i 0.678623 0.734487i \(-0.262577\pi\)
−0.734487 + 0.678623i \(0.762577\pi\)
\(368\) 12.1675 9.42169i 0.634273 0.491139i
\(369\) 2.23101i 0.116142i
\(370\) −4.39412 + 18.7059i −0.228439 + 0.972475i
\(371\) 0.339267i 0.0176139i
\(372\) 28.1211 + 31.9241i 1.45801 + 1.65519i
\(373\) 4.61033 + 4.61033i 0.238714 + 0.238714i 0.816317 0.577603i \(-0.196012\pi\)
−0.577603 + 0.816317i \(0.696012\pi\)
\(374\) −5.17365 5.51170i −0.267523 0.285003i
\(375\) 21.0254 + 14.3007i 1.08574 + 0.738483i
\(376\) 8.05172 + 9.74536i 0.415236 + 0.502579i
\(377\) 5.15746 5.15746i 0.265623 0.265623i
\(378\) 0.0328187 1.03737i 0.00168801 0.0533564i
\(379\) 25.6874 1.31947 0.659736 0.751497i \(-0.270668\pi\)
0.659736 + 0.751497i \(0.270668\pi\)
\(380\) −8.58486 + 4.95019i −0.440394 + 0.253940i
\(381\) −8.50018 −0.435477
\(382\) 0.169124 5.34584i 0.00865315 0.273517i
\(383\) −7.08294 + 7.08294i −0.361921 + 0.361921i −0.864520 0.502599i \(-0.832377\pi\)
0.502599 + 0.864520i \(0.332377\pi\)
\(384\) −21.7458 + 13.7555i −1.10971 + 0.701956i
\(385\) −0.141807 + 0.702818i −0.00722715 + 0.0358189i
\(386\) 4.78831 + 5.10118i 0.243719 + 0.259643i
\(387\) 9.26393 + 9.26393i 0.470912 + 0.470912i
\(388\) −7.12003 + 6.27183i −0.361465 + 0.318404i
\(389\) 12.1615i 0.616610i 0.951288 + 0.308305i \(0.0997618\pi\)
−0.951288 + 0.308305i \(0.900238\pi\)
\(390\) −6.11377 + 3.78784i −0.309583 + 0.191805i
\(391\) 25.0126i 1.26494i
\(392\) 1.83492 19.2817i 0.0926774 0.973872i
\(393\) −24.0728 24.0728i −1.21431 1.21431i
\(394\) −24.7034 + 23.1883i −1.24454 + 1.16821i
\(395\) 16.7210 11.1063i 0.841326 0.558820i
\(396\) 3.56534 + 0.225816i 0.179165 + 0.0113477i
\(397\) 16.9963 16.9963i 0.853018 0.853018i −0.137486 0.990504i \(-0.543902\pi\)
0.990504 + 0.137486i \(0.0439022\pi\)
\(398\) −36.7302 1.16202i −1.84112 0.0582468i
\(399\) 1.96547 0.0983964
\(400\) 10.0190 17.3095i 0.500950 0.865476i
\(401\) −10.9375 −0.546191 −0.273095 0.961987i \(-0.588047\pi\)
−0.273095 + 0.961987i \(0.588047\pi\)
\(402\) 32.0346 + 1.01347i 1.59774 + 0.0505471i
\(403\) 6.61353 6.61353i 0.329444 0.329444i
\(404\) −36.1764 2.29129i −1.79984 0.113996i
\(405\) 20.1119 13.3586i 0.999370 0.663795i
\(406\) 2.93307 2.75317i 0.145566 0.136638i
\(407\) −3.53256 3.53256i −0.175102 0.175102i
\(408\) 3.96212 41.6347i 0.196154 2.06123i
\(409\) 27.4799i 1.35879i −0.733771 0.679397i \(-0.762241\pi\)
0.733771 0.679397i \(-0.237759\pi\)
\(410\) 2.76044 1.71025i 0.136328 0.0844633i
\(411\) 2.45863i 0.121275i
\(412\) 17.9016 15.7690i 0.881947 0.776883i
\(413\) −3.39463 3.39463i −0.167039 0.167039i
\(414\) −8.08993 8.61853i −0.397598 0.423578i
\(415\) −1.90637 + 9.44827i −0.0935799 + 0.463797i
\(416\) 3.32021 + 4.57998i 0.162786 + 0.224552i
\(417\) −29.4443 + 29.4443i −1.44189 + 1.44189i
\(418\) 0.0814703 2.57519i 0.00398484 0.125957i
\(419\) 12.6786 0.619391 0.309695 0.950836i \(-0.399773\pi\)
0.309695 + 0.950836i \(0.399773\pi\)
\(420\) −3.43636 + 1.98147i −0.167677 + 0.0966858i
\(421\) −1.77678 −0.0865951 −0.0432975 0.999062i \(-0.513786\pi\)
−0.0432975 + 0.999062i \(0.513786\pi\)
\(422\) 0.249722 7.89344i 0.0121563 0.384247i
\(423\) 6.86610 6.86610i 0.333841 0.333841i
\(424\) 1.56719 + 1.89685i 0.0761097 + 0.0921190i
\(425\) 12.2750 + 30.1009i 0.595423 + 1.46011i
\(426\) −8.17322 8.70726i −0.395994 0.421868i
\(427\) 0.493226 + 0.493226i 0.0238689 + 0.0238689i
\(428\) 18.9240 + 21.4832i 0.914724 + 1.03843i
\(429\) 1.86989i 0.0902791i
\(430\) −4.36075 + 18.5639i −0.210294 + 0.895229i
\(431\) 10.8688i 0.523529i −0.965132 0.261765i \(-0.915696\pi\)
0.965132 0.261765i \(-0.0843044\pi\)
\(432\) −4.60847 5.95153i −0.221725 0.286343i
\(433\) −8.66547 8.66547i −0.416436 0.416436i 0.467537 0.883973i \(-0.345141\pi\)
−0.883973 + 0.467537i \(0.845141\pi\)
\(434\) 3.76114 3.53046i 0.180540 0.169467i
\(435\) 36.3601 + 7.33634i 1.74333 + 0.351751i
\(436\) −0.761691 + 12.0261i −0.0364784 + 0.575945i
\(437\) −6.02810 + 6.02810i −0.288363 + 0.288363i
\(438\) −0.573539 0.0181448i −0.0274047 0.000866993i
\(439\) 25.8681 1.23462 0.617310 0.786720i \(-0.288223\pi\)
0.617310 + 0.786720i \(0.288223\pi\)
\(440\) 2.45372 + 4.58452i 0.116976 + 0.218558i
\(441\) −14.8777 −0.708462
\(442\) −9.18993 0.290738i −0.437120 0.0138290i
\(443\) −9.49162 + 9.49162i −0.450961 + 0.450961i −0.895673 0.444713i \(-0.853306\pi\)
0.444713 + 0.895673i \(0.353306\pi\)
\(444\) 1.74708 27.5840i 0.0829127 1.30908i
\(445\) 15.5536 + 23.4165i 0.737311 + 1.11005i
\(446\) 4.97875 4.67339i 0.235751 0.221292i
\(447\) 1.87276 + 1.87276i 0.0885786 + 0.0885786i
\(448\) 1.75043 + 2.58268i 0.0827001 + 0.122020i
\(449\) 20.3525i 0.960494i −0.877133 0.480247i \(-0.840547\pi\)
0.877133 0.480247i \(-0.159453\pi\)
\(450\) −13.9652 6.40166i −0.658326 0.301777i
\(451\) 0.844276i 0.0397554i
\(452\) −13.6116 15.4524i −0.640236 0.726821i
\(453\) 1.62212 + 1.62212i 0.0762136 + 0.0762136i
\(454\) −12.7511 13.5843i −0.598441 0.637543i
\(455\) 0.482497 + 0.726419i 0.0226198 + 0.0340551i
\(456\) 10.9889 9.07918i 0.514604 0.425171i
\(457\) 1.07145 1.07145i 0.0501205 0.0501205i −0.681602 0.731723i \(-0.738717\pi\)
0.731723 + 0.681602i \(0.238717\pi\)
\(458\) 0.641516 20.2776i 0.0299761 0.947512i
\(459\) 12.2345 0.571059
\(460\) 4.46215 16.6165i 0.208049 0.774749i
\(461\) 24.1135 1.12308 0.561538 0.827451i \(-0.310210\pi\)
0.561538 + 0.827451i \(0.310210\pi\)
\(462\) 0.0326110 1.03080i 0.00151720 0.0479572i
\(463\) −23.5272 + 23.5272i −1.09340 + 1.09340i −0.0982398 + 0.995163i \(0.531321\pi\)
−0.995163 + 0.0982398i \(0.968679\pi\)
\(464\) 3.68092 28.9419i 0.170883 1.34359i
\(465\) 46.6254 + 9.40756i 2.16220 + 0.436265i
\(466\) −2.39108 2.54731i −0.110764 0.118002i
\(467\) −23.9597 23.9597i −1.10872 1.10872i −0.993319 0.115404i \(-0.963184\pi\)
−0.115404 0.993319i \(-0.536816\pi\)
\(468\) 3.26058 2.87215i 0.150720 0.132765i
\(469\) 3.88623i 0.179449i
\(470\) 13.7589 + 3.23203i 0.634650 + 0.149082i
\(471\) 44.7381i 2.06142i
\(472\) −34.6604 3.29842i −1.59537 0.151822i
\(473\) −3.50573 3.50573i −0.161194 0.161194i
\(474\) −21.0523 + 19.7611i −0.966966 + 0.907660i
\(475\) −4.29610 + 10.2127i −0.197119 + 0.468590i
\(476\) −5.06100 0.320546i −0.231971 0.0146922i
\(477\) 1.33642 1.33642i 0.0611906 0.0611906i
\(478\) −6.44851 0.204009i −0.294948 0.00933116i
\(479\) 0.624652 0.0285411 0.0142705 0.999898i \(-0.495457\pi\)
0.0142705 + 0.999898i \(0.495457\pi\)
\(480\) −10.0596 + 26.9522i −0.459156 + 1.23019i
\(481\) −6.07635 −0.277058
\(482\) 30.0835 + 0.951739i 1.37026 + 0.0433505i
\(483\) −2.41293 + 2.41293i −0.109792 + 0.109792i
\(484\) 20.6068 + 1.30516i 0.936672 + 0.0593256i
\(485\) −2.09817 + 10.3988i −0.0952728 + 0.472187i
\(486\) −19.5005 + 18.3045i −0.884563 + 0.830310i
\(487\) −25.7445 25.7445i −1.16659 1.16659i −0.983003 0.183590i \(-0.941228\pi\)
−0.183590 0.983003i \(-0.558772\pi\)
\(488\) 5.03601 + 0.479246i 0.227970 + 0.0216945i
\(489\) 49.7831i 2.25127i
\(490\) −11.4050 18.4083i −0.515225 0.831600i
\(491\) 9.90039i 0.446798i −0.974727 0.223399i \(-0.928285\pi\)
0.974727 0.223399i \(-0.0717153\pi\)
\(492\) −3.50505 + 3.08750i −0.158020 + 0.139195i
\(493\) 33.5313 + 33.5313i 1.51017 + 1.51017i
\(494\) −2.14472 2.28486i −0.0964956 0.102801i
\(495\) 3.32710 2.20990i 0.149542 0.0993278i
\(496\) 4.72014 37.1128i 0.211940 1.66642i
\(497\) −1.02392 + 1.02392i −0.0459289 + 0.0459289i
\(498\) 0.438404 13.8575i 0.0196453 0.620968i
\(499\) −27.9236 −1.25003 −0.625017 0.780611i \(-0.714908\pi\)
−0.625017 + 0.780611i \(0.714908\pi\)
\(500\) −2.78467 22.1866i −0.124534 0.992215i
\(501\) −42.0071 −1.87674
\(502\) −1.13434 + 35.8554i −0.0506282 + 1.60030i
\(503\) 8.69201 8.69201i 0.387558 0.387558i −0.486258 0.873815i \(-0.661638\pi\)
0.873815 + 0.486258i \(0.161638\pi\)
\(504\) 1.84753 1.52645i 0.0822955 0.0679934i
\(505\) −33.7591 + 22.4232i −1.50226 + 0.997820i
\(506\) 3.06145 + 3.26149i 0.136098 + 0.144991i
\(507\) −1.60820 1.60820i −0.0714225 0.0714225i
\(508\) 4.94087 + 5.60906i 0.219216 + 0.248862i
\(509\) 18.9225i 0.838726i −0.907819 0.419363i \(-0.862253\pi\)
0.907819 0.419363i \(-0.137747\pi\)
\(510\) −24.6267 39.7488i −1.09049 1.76011i
\(511\) 0.0695780i 0.00307795i
\(512\) 21.7170 + 6.35393i 0.959764 + 0.280807i
\(513\) 2.94855 + 2.94855i 0.130182 + 0.130182i
\(514\) 4.11678 3.86428i 0.181583 0.170446i
\(515\) 5.27533 26.1454i 0.232459 1.15210i
\(516\) 1.73381 27.3745i 0.0763267 1.20510i
\(517\) −2.59832 + 2.59832i −0.114274 + 0.114274i
\(518\) −3.34967 0.105972i −0.147176 0.00465615i
\(519\) 6.05766 0.265902
\(520\) 6.05323 + 1.83259i 0.265452 + 0.0803644i
\(521\) 24.7708 1.08523 0.542614 0.839982i \(-0.317435\pi\)
0.542614 + 0.839982i \(0.317435\pi\)
\(522\) −22.3989 0.708626i −0.980374 0.0310157i
\(523\) −31.9322 + 31.9322i −1.39630 + 1.39630i −0.585954 + 0.810344i \(0.699280\pi\)
−0.810344 + 0.585954i \(0.800720\pi\)
\(524\) −1.89236 + 29.8778i −0.0826679 + 1.30522i
\(525\) −1.71965 + 4.08794i −0.0750516 + 0.178413i
\(526\) −13.8326 + 12.9842i −0.603132 + 0.566140i
\(527\) 42.9980 + 42.9980i 1.87302 + 1.87302i
\(528\) −4.57930 5.91386i −0.199289 0.257368i
\(529\) 8.19903i 0.356479i
\(530\) 2.67804 + 0.629085i 0.116327 + 0.0273257i
\(531\) 26.7439i 1.16059i
\(532\) −1.14246 1.29696i −0.0495319 0.0562305i
\(533\) 0.726120 + 0.726120i 0.0314517 + 0.0314517i
\(534\) −27.6740 29.4822i −1.19757 1.27582i
\(535\) 31.3764 + 6.33078i 1.35652 + 0.273703i
\(536\) −17.9519 21.7279i −0.775402 0.938504i
\(537\) 6.08574 6.08574i 0.262619 0.262619i
\(538\) −1.28924 + 40.7516i −0.0555832 + 1.75693i
\(539\) 5.63014 0.242507
\(540\) −8.12771 2.18259i −0.349761 0.0939238i
\(541\) −37.9058 −1.62970 −0.814849 0.579674i \(-0.803180\pi\)
−0.814849 + 0.579674i \(0.803180\pi\)
\(542\) −0.410139 + 12.9641i −0.0176170 + 0.556855i
\(543\) −23.0607 + 23.0607i −0.989630 + 0.989630i
\(544\) −29.7768 + 21.5864i −1.27667 + 0.925507i
\(545\) 7.45413 + 11.2225i 0.319300 + 0.480719i
\(546\) −0.858493 0.914587i −0.0367401 0.0391407i
\(547\) −12.9198 12.9198i −0.552411 0.552411i 0.374725 0.927136i \(-0.377737\pi\)
−0.927136 + 0.374725i \(0.877737\pi\)
\(548\) 1.62239 1.42912i 0.0693050 0.0610488i
\(549\) 3.88578i 0.165841i
\(550\) 5.28482 + 2.42257i 0.225346 + 0.103299i
\(551\) 16.1622i 0.688534i
\(552\) −2.34455 + 24.6369i −0.0997905 + 1.04862i
\(553\) 2.47562 + 2.47562i 0.105274 + 0.105274i
\(554\) 26.9849 25.3298i 1.14648 1.07616i
\(555\) −17.0974 25.7409i −0.725745 1.09264i
\(556\) 36.5445 + 2.31460i 1.54983 + 0.0981611i
\(557\) −4.01335 + 4.01335i −0.170051 + 0.170051i −0.787002 0.616951i \(-0.788368\pi\)
0.616951 + 0.787002i \(0.288368\pi\)
\(558\) −28.7227 0.908688i −1.21593 0.0384678i
\(559\) −6.03020 −0.255050
\(560\) 3.30496 + 1.11581i 0.139660 + 0.0471515i
\(561\) 12.1571 0.513273
\(562\) 26.6885 + 0.844335i 1.12579 + 0.0356161i
\(563\) 30.9791 30.9791i 1.30562 1.30562i 0.381069 0.924547i \(-0.375556\pi\)
0.924547 0.381069i \(-0.124444\pi\)
\(564\) −20.2890 1.28504i −0.854322 0.0541099i
\(565\) −22.5684 4.55360i −0.949459 0.191571i
\(566\) 6.79859 6.38161i 0.285766 0.268239i
\(567\) 2.97765 + 2.97765i 0.125050 + 0.125050i
\(568\) −0.994895 + 10.4545i −0.0417449 + 0.438663i
\(569\) 7.46971i 0.313147i −0.987666 0.156573i \(-0.949955\pi\)
0.987666 0.156573i \(-0.0500448\pi\)
\(570\) 3.64446 15.5146i 0.152650 0.649836i
\(571\) 9.11459i 0.381434i −0.981645 0.190717i \(-0.938919\pi\)
0.981645 0.190717i \(-0.0610812\pi\)
\(572\) −1.23389 + 1.08690i −0.0515917 + 0.0454457i
\(573\) 6.08216 + 6.08216i 0.254086 + 0.254086i
\(574\) 0.387619 + 0.412947i 0.0161789 + 0.0172361i
\(575\) −7.26358 17.8119i −0.302912 0.742809i
\(576\) 3.27835 17.0688i 0.136598 0.711199i
\(577\) −6.82293 + 6.82293i −0.284042 + 0.284042i −0.834719 0.550676i \(-0.814370\pi\)
0.550676 + 0.834719i \(0.314370\pi\)
\(578\) 1.13002 35.7188i 0.0470027 1.48571i
\(579\) −11.2516 −0.467602
\(580\) −16.2938 28.2575i −0.676564 1.17333i
\(581\) −1.68110 −0.0697438
\(582\) 0.482511 15.2517i 0.0200007 0.632202i
\(583\) −0.505740 + 0.505740i −0.0209456 + 0.0209456i
\(584\) 0.321405 + 0.389011i 0.0132999 + 0.0160974i
\(585\) 0.960844 4.76210i 0.0397260 0.196889i
\(586\) −29.1191 31.0217i −1.20290 1.28150i
\(587\) −16.5414 16.5414i −0.682735 0.682735i 0.277881 0.960616i \(-0.410368\pi\)
−0.960616 + 0.277881i \(0.910368\pi\)
\(588\) 20.5893 + 23.3737i 0.849087 + 0.963917i
\(589\) 20.7252i 0.853967i
\(590\) −33.0904 + 20.5014i −1.36231 + 0.844029i
\(591\) 54.4881i 2.24134i
\(592\) −19.2175 + 14.8808i −0.789836 + 0.611597i
\(593\) 9.53305 + 9.53305i 0.391475 + 0.391475i 0.875213 0.483738i \(-0.160721\pi\)
−0.483738 + 0.875213i \(0.660721\pi\)
\(594\) 1.59531 1.49746i 0.0654562 0.0614416i
\(595\) −4.72282 + 3.13696i −0.193617 + 0.128603i
\(596\) 0.147217 2.32436i 0.00603025 0.0952097i
\(597\) 41.7893 41.7893i 1.71032 1.71032i
\(598\) 5.43805 + 0.172041i 0.222378 + 0.00703529i
\(599\) 23.6663 0.966979 0.483489 0.875350i \(-0.339369\pi\)
0.483489 + 0.875350i \(0.339369\pi\)
\(600\) 9.26908 + 30.7994i 0.378409 + 1.25738i
\(601\) 13.4784 0.549795 0.274897 0.961474i \(-0.411356\pi\)
0.274897 + 0.961474i \(0.411356\pi\)
\(602\) −3.32423 0.105167i −0.135485 0.00428630i
\(603\) −15.3084 + 15.3084i −0.623407 + 0.623407i
\(604\) 0.127514 2.01328i 0.00518847 0.0819190i
\(605\) 19.2298 12.7727i 0.781804 0.519285i
\(606\) 42.5038 39.8969i 1.72660 1.62070i
\(607\) −16.2073 16.2073i −0.657834 0.657834i 0.297033 0.954867i \(-0.404003\pi\)
−0.954867 + 0.297033i \(0.904003\pi\)
\(608\) −12.3786 1.97392i −0.502020 0.0800528i
\(609\) 6.46944i 0.262155i
\(610\) 4.80789 2.97877i 0.194666 0.120607i
\(611\) 4.46937i 0.180811i
\(612\) 18.6733 + 21.1987i 0.754825 + 0.856907i
\(613\) −0.635203 0.635203i −0.0256556 0.0256556i 0.694163 0.719818i \(-0.255775\pi\)
−0.719818 + 0.694163i \(0.755775\pi\)
\(614\) −26.1175 27.8240i −1.05401 1.12288i
\(615\) −1.03288 + 5.11914i −0.0416499 + 0.206424i
\(616\) −0.699156 + 0.577650i −0.0281698 + 0.0232742i
\(617\) −16.8468 + 16.8468i −0.678227 + 0.678227i −0.959599 0.281372i \(-0.909211\pi\)
0.281372 + 0.959599i \(0.409211\pi\)
\(618\) −1.21316 + 38.3466i −0.0488003 + 1.54253i
\(619\) −5.11308 −0.205512 −0.102756 0.994707i \(-0.532766\pi\)
−0.102756 + 0.994707i \(0.532766\pi\)
\(620\) −20.8940 36.2353i −0.839121 1.45524i
\(621\) −7.23966 −0.290518
\(622\) −0.463295 + 14.6443i −0.0185764 + 0.587181i
\(623\) −3.46691 + 3.46691i −0.138899 + 0.138899i
\(624\) −9.02464 1.14778i −0.361275 0.0459481i
\(625\) −17.4824 17.8708i −0.699296 0.714832i
\(626\) 7.29188 + 7.76834i 0.291442 + 0.310485i
\(627\) 2.92989 + 2.92989i 0.117008 + 0.117008i
\(628\) −29.5216 + 26.0047i −1.17804 + 1.03770i
\(629\) 39.5055i 1.57519i
\(630\) 0.612729 2.60841i 0.0244117 0.103922i
\(631\) 25.4301i 1.01236i 0.862429 + 0.506178i \(0.168942\pi\)
−0.862429 + 0.506178i \(0.831058\pi\)
\(632\) 25.2769 + 2.40545i 1.00546 + 0.0956837i
\(633\) 8.98065 + 8.98065i 0.356949 + 0.356949i
\(634\) 18.7560 17.6057i 0.744897 0.699211i
\(635\) 8.19208 + 1.65291i 0.325093 + 0.0655936i
\(636\) −3.94907 0.250121i −0.156591 0.00991794i
\(637\) 4.84220 4.84220i 0.191855 0.191855i
\(638\) 8.47638 + 0.268164i 0.335583 + 0.0106167i
\(639\) 8.06671 0.319114
\(640\) 23.6324 9.02829i 0.934152 0.356874i
\(641\) −33.6710 −1.32992 −0.664962 0.746877i \(-0.731552\pi\)
−0.664962 + 0.746877i \(0.731552\pi\)
\(642\) −46.0187 1.45588i −1.81621 0.0574589i
\(643\) 6.67990 6.67990i 0.263430 0.263430i −0.563016 0.826446i \(-0.690359\pi\)
0.826446 + 0.563016i \(0.190359\pi\)
\(644\) 2.99479 + 0.189680i 0.118011 + 0.00747444i
\(645\) −16.9676 25.5454i −0.668097 1.00585i
\(646\) 14.8550 13.9439i 0.584464 0.548617i
\(647\) 4.23583 + 4.23583i 0.166528 + 0.166528i 0.785451 0.618924i \(-0.212431\pi\)
−0.618924 + 0.785451i \(0.712431\pi\)
\(648\) 30.4029 + 2.89326i 1.19434 + 0.113658i
\(649\) 10.1206i 0.397270i
\(650\) 6.62873 2.46168i 0.260000 0.0965551i
\(651\) 8.29591i 0.325142i
\(652\) 32.8507 28.9372i 1.28653 1.13327i
\(653\) 15.8120 + 15.8120i 0.618772 + 0.618772i 0.945216 0.326444i \(-0.105851\pi\)
−0.326444 + 0.945216i \(0.605851\pi\)
\(654\) −13.2629 14.1295i −0.518621 0.552508i
\(655\) 18.5191 + 27.8813i 0.723603 + 1.08941i
\(656\) 4.07473 + 0.518238i 0.159091 + 0.0202338i
\(657\) 0.274078 0.274078i 0.0106928 0.0106928i
\(658\) −0.0779463 + 2.46380i −0.00303866 + 0.0960489i
\(659\) −12.6866 −0.494198 −0.247099 0.968990i \(-0.579477\pi\)
−0.247099 + 0.968990i \(0.579477\pi\)
\(660\) −8.07627 2.16878i −0.314368 0.0844196i
\(661\) 6.64270 0.258371 0.129186 0.991620i \(-0.458764\pi\)
0.129186 + 0.991620i \(0.458764\pi\)
\(662\) −0.900875 + 28.4757i −0.0350135 + 1.10674i
\(663\) 10.4557 10.4557i 0.406066 0.406066i
\(664\) −9.39905 + 7.76559i −0.364754 + 0.301363i
\(665\) −1.89422 0.382196i −0.0734549 0.0148209i
\(666\) 12.7774 + 13.6123i 0.495114 + 0.527465i
\(667\) −19.8418 19.8418i −0.768278 0.768278i
\(668\) 24.4173 + 27.7195i 0.944733 + 1.07250i
\(669\) 10.9816i 0.424573i
\(670\) −30.6764 7.20603i −1.18513 0.278393i
\(671\) 1.47049i 0.0567675i
\(672\) −4.95493 0.790122i −0.191141 0.0304796i
\(673\) −22.3465 22.3465i −0.861393 0.861393i 0.130107 0.991500i \(-0.458468\pi\)
−0.991500 + 0.130107i \(0.958468\pi\)
\(674\) −10.5932 + 9.94353i −0.408037 + 0.383010i
\(675\) −8.71242 + 3.55286i −0.335341 + 0.136750i
\(676\) −0.126420 + 1.99600i −0.00486230 + 0.0767693i
\(677\) 19.4412 19.4412i 0.747188 0.747188i −0.226762 0.973950i \(-0.572814\pi\)
0.973950 + 0.226762i \(0.0728140\pi\)
\(678\) 33.1003 + 1.04718i 1.27121 + 0.0402168i
\(679\) −1.85023 −0.0710054
\(680\) −11.9146 + 39.3552i −0.456904 + 1.50920i
\(681\) 29.9628 1.14818
\(682\) 10.8695 + 0.343873i 0.416213 + 0.0131676i
\(683\) 2.48920 2.48920i 0.0952465 0.0952465i −0.657878 0.753124i \(-0.728546\pi\)
0.753124 + 0.657878i \(0.228546\pi\)
\(684\) −0.608617 + 9.60924i −0.0232710 + 0.367419i
\(685\) 0.478093 2.36951i 0.0182670 0.0905342i
\(686\) 5.56871 5.22717i 0.212614 0.199574i
\(687\) 23.0706 + 23.0706i 0.880198 + 0.880198i
\(688\) −19.0716 + 14.7678i −0.727098 + 0.563017i
\(689\) 0.869922i 0.0331414i
\(690\) 14.5726 + 23.5209i 0.554768 + 0.895427i
\(691\) 31.7913i 1.20940i 0.796454 + 0.604699i \(0.206706\pi\)
−0.796454 + 0.604699i \(0.793294\pi\)
\(692\) −3.52111 3.99730i −0.133853 0.151955i
\(693\) 0.492591 + 0.492591i 0.0187120 + 0.0187120i
\(694\) 28.8122 + 30.6948i 1.09370 + 1.16516i
\(695\) 34.1026 22.6514i 1.29358 0.859216i
\(696\) 29.8846 + 36.1707i 1.13277 + 1.37105i
\(697\) −4.72087 + 4.72087i −0.178816 + 0.178816i
\(698\) −0.531716 + 16.8070i −0.0201258 + 0.636154i
\(699\) 5.61858 0.212514
\(700\) 3.69711 1.24143i 0.139738 0.0469216i
\(701\) −4.81933 −0.182024 −0.0910118 0.995850i \(-0.529010\pi\)
−0.0910118 + 0.995850i \(0.529010\pi\)
\(702\) 0.0841513 2.65993i 0.00317609 0.100393i
\(703\) 9.52090 9.52090i 0.359087 0.359087i
\(704\) −1.24062 + 6.45930i −0.0467576 + 0.243444i
\(705\) −18.9333 + 12.5758i −0.713070 + 0.473631i
\(706\) −11.0387 11.7600i −0.415448 0.442593i
\(707\) −4.99817 4.99817i −0.187975 0.187975i
\(708\) 42.0162 37.0109i 1.57907 1.39095i
\(709\) 25.3141i 0.950691i 0.879799 + 0.475346i \(0.157677\pi\)
−0.879799 + 0.475346i \(0.842323\pi\)
\(710\) 6.18379 + 9.98098i 0.232074 + 0.374579i
\(711\) 19.5036i 0.731443i
\(712\) −3.36865 + 35.3984i −0.126246 + 1.32661i
\(713\) −25.4436 25.4436i −0.952871 0.952871i
\(714\) 5.94620 5.58150i 0.222531 0.208882i
\(715\) −0.363610 + 1.80211i −0.0135982 + 0.0673951i
\(716\) −7.55327 0.478398i −0.282279 0.0178786i
\(717\) 7.33670 7.33670i 0.273994 0.273994i
\(718\) 7.49061 + 0.236977i 0.279547 + 0.00884391i
\(719\) −17.8561 −0.665921 −0.332961 0.942941i \(-0.608048\pi\)
−0.332961 + 0.942941i \(0.608048\pi\)
\(720\) −8.62340 17.4141i −0.321375 0.648984i
\(721\) 4.65196 0.173248
\(722\) −19.9160 0.630075i −0.741197 0.0234490i
\(723\) −34.2270 + 34.2270i −1.27292 + 1.27292i
\(724\) 28.6216 + 1.81280i 1.06371 + 0.0673720i
\(725\) −33.6156 14.1408i −1.24845 0.525178i
\(726\) −24.2110 + 22.7261i −0.898556 + 0.843445i
\(727\) 35.3041 + 35.3041i 1.30936 + 1.30936i 0.921880 + 0.387477i \(0.126653\pi\)
0.387477 + 0.921880i \(0.373347\pi\)
\(728\) −0.104501 + 1.09812i −0.00387307 + 0.0406989i
\(729\) 10.6193i 0.393308i
\(730\) 0.549222 + 0.129015i 0.0203276 + 0.00477506i
\(731\) 39.2054i 1.45006i
\(732\) −6.10478 + 5.37753i −0.225639 + 0.198759i
\(733\) 14.6703 + 14.6703i 0.541859 + 0.541859i 0.924074 0.382214i \(-0.124838\pi\)
−0.382214 + 0.924074i \(0.624838\pi\)
\(734\) −1.46490 1.56061i −0.0540703 0.0576033i
\(735\) 34.1375 + 6.88789i 1.25918 + 0.254064i
\(736\) 17.6201 12.7735i 0.649486 0.470838i
\(737\) 5.79314 5.79314i 0.213393 0.213393i
\(738\) 0.0997675 3.15355i 0.00367249 0.116084i
\(739\) −29.6878 −1.09208 −0.546041 0.837758i \(-0.683866\pi\)
−0.546041 + 0.837758i \(0.683866\pi\)
\(740\) −7.04762 + 26.2445i −0.259076 + 0.964766i
\(741\) 5.03969 0.185138
\(742\) −0.0151715 + 0.479556i −0.000556964 + 0.0176051i
\(743\) −21.9023 + 21.9023i −0.803518 + 0.803518i −0.983644 0.180126i \(-0.942349\pi\)
0.180126 + 0.983644i \(0.442349\pi\)
\(744\) 38.3217 + 46.3825i 1.40494 + 1.70047i
\(745\) −1.44071 2.16905i −0.0527836 0.0794678i
\(746\) 6.31057 + 6.72290i 0.231046 + 0.246143i
\(747\) 6.62210 + 6.62210i 0.242290 + 0.242290i
\(748\) −7.06651 8.02218i −0.258377 0.293320i
\(749\) 5.58270i 0.203987i
\(750\) 29.0800 + 21.1543i 1.06185 + 0.772445i
\(751\) 6.72720i 0.245479i −0.992439 0.122740i \(-0.960832\pi\)
0.992439 0.122740i \(-0.0391680\pi\)
\(752\) 10.9454 + 14.1352i 0.399136 + 0.515457i
\(753\) −40.7940 40.7940i −1.48661 1.48661i
\(754\) 7.52074 7.05947i 0.273889 0.257091i
\(755\) −1.24789 1.87875i −0.0454153 0.0683746i
\(756\) 0.0927790 1.46486i 0.00337434 0.0532763i
\(757\) 14.5990 14.5990i 0.530609 0.530609i −0.390145 0.920754i \(-0.627575\pi\)
0.920754 + 0.390145i \(0.127575\pi\)
\(758\) 36.3093 + 1.14870i 1.31881 + 0.0417227i
\(759\) −7.19384 −0.261120
\(760\) −12.3561 + 6.61323i −0.448204 + 0.239887i
\(761\) 23.2357 0.842294 0.421147 0.906993i \(-0.361628\pi\)
0.421147 + 0.906993i \(0.361628\pi\)
\(762\) −12.0151 0.380116i −0.435260 0.0137701i
\(763\) −1.66154 + 1.66154i −0.0601516 + 0.0601516i
\(764\) 0.478117 7.54882i 0.0172977 0.273107i
\(765\) 30.9608 + 6.24694i 1.11939 + 0.225858i
\(766\) −10.3285 + 9.69504i −0.373185 + 0.350296i
\(767\) −8.70425 8.70425i −0.314292 0.314292i
\(768\) −31.3529 + 18.4710i −1.13135 + 0.666515i
\(769\) 7.52587i 0.271390i 0.990751 + 0.135695i \(0.0433267\pi\)
−0.990751 + 0.135695i \(0.956673\pi\)
\(770\) −0.231874 + 0.987096i −0.00835615 + 0.0355725i
\(771\) 9.08034i 0.327020i
\(772\) 6.54019 + 7.42468i 0.235387 + 0.267220i
\(773\) −22.8017 22.8017i −0.820122 0.820122i 0.166004 0.986125i \(-0.446914\pi\)
−0.986125 + 0.166004i \(0.946914\pi\)
\(774\) 12.6804 + 13.5089i 0.455786 + 0.485567i
\(775\) −43.1060 18.1331i −1.54841 0.651362i