Properties

Label 273.2.bh.a.131.11
Level $273$
Weight $2$
Character 273.131
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bh (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 131.11
Character \(\chi\) \(=\) 273.131
Dual form 273.2.bh.a.248.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.00971 - 0.582955i) q^{2} +(1.67611 - 0.436646i) q^{3} +(-0.320327 - 0.554823i) q^{4} +(-0.156706 + 0.271422i) q^{5} +(-1.94692 - 0.536211i) q^{6} +(2.13875 + 1.55748i) q^{7} +3.07876i q^{8} +(2.61868 - 1.46373i) q^{9} +O(q^{10})\) \(q+(-1.00971 - 0.582955i) q^{2} +(1.67611 - 0.436646i) q^{3} +(-0.320327 - 0.554823i) q^{4} +(-0.156706 + 0.271422i) q^{5} +(-1.94692 - 0.536211i) q^{6} +(2.13875 + 1.55748i) q^{7} +3.07876i q^{8} +(2.61868 - 1.46373i) q^{9} +(0.316454 - 0.182705i) q^{10} +(3.79522 - 2.19117i) q^{11} +(-0.779165 - 0.790075i) q^{12} -1.00000i q^{13} +(-1.25157 - 2.81939i) q^{14} +(-0.144140 + 0.523358i) q^{15} +(1.15413 - 1.99900i) q^{16} +(-1.80003 - 3.11774i) q^{17} +(-3.49739 - 0.0486303i) q^{18} +(-1.27605 - 0.736727i) q^{19} +0.200788 q^{20} +(4.26485 + 1.67662i) q^{21} -5.10941 q^{22} +(-6.20466 - 3.58226i) q^{23} +(1.34433 + 5.16034i) q^{24} +(2.45089 + 4.24506i) q^{25} +(-0.582955 + 1.00971i) q^{26} +(3.75006 - 3.59681i) q^{27} +(0.179024 - 1.68553i) q^{28} +2.70881i q^{29} +(0.450633 - 0.444411i) q^{30} +(-4.67385 + 2.69845i) q^{31} +(3.00192 - 1.73316i) q^{32} +(5.40443 - 5.32981i) q^{33} +4.19734i q^{34} +(-0.757889 + 0.336439i) q^{35} +(-1.65095 - 0.984031i) q^{36} +(-1.07911 + 1.86908i) q^{37} +(0.858957 + 1.48776i) q^{38} +(-0.436646 - 1.67611i) q^{39} +(-0.835645 - 0.482460i) q^{40} +8.78641 q^{41} +(-3.32885 - 4.17911i) q^{42} -0.0932870 q^{43} +(-2.43143 - 1.40378i) q^{44} +(-0.0130724 + 0.940143i) q^{45} +(4.17659 + 7.23407i) q^{46} +(3.56796 - 6.17989i) q^{47} +(1.06158 - 3.85449i) q^{48} +(2.14852 + 6.66212i) q^{49} -5.71502i q^{50} +(-4.37839 - 4.43969i) q^{51} +(-0.554823 + 0.320327i) q^{52} +(-9.29072 + 5.36400i) q^{53} +(-5.88324 + 1.44561i) q^{54} +1.37347i q^{55} +(-4.79511 + 6.58472i) q^{56} +(-2.46048 - 0.677652i) q^{57} +(1.57911 - 2.73511i) q^{58} +(5.87796 + 10.1809i) q^{59} +(0.336543 - 0.0876735i) q^{60} +(-5.91478 - 3.41490i) q^{61} +6.29230 q^{62} +(7.88044 + 0.947976i) q^{63} -8.65792 q^{64} +(0.271422 + 0.156706i) q^{65} +(-8.56393 + 2.23101i) q^{66} +(5.49567 + 9.51877i) q^{67} +(-1.15320 + 1.99739i) q^{68} +(-11.9639 - 3.29502i) q^{69} +(0.961374 + 0.102110i) q^{70} +8.39369i q^{71} +(4.50649 + 8.06230i) q^{72} +(-4.82127 + 2.78356i) q^{73} +(2.17918 - 1.25815i) q^{74} +(5.96154 + 6.04501i) q^{75} +0.943975i q^{76} +(11.5297 + 1.22460i) q^{77} +(-0.536211 + 1.94692i) q^{78} +(-1.21864 + 2.11075i) q^{79} +(0.361716 + 0.626510i) q^{80} +(4.71497 - 7.66610i) q^{81} +(-8.87171 - 5.12208i) q^{82} -14.4055 q^{83} +(-0.435917 - 2.90331i) q^{84} +1.12830 q^{85} +(0.0941925 + 0.0543821i) q^{86} +(1.18279 + 4.54026i) q^{87} +(6.74610 + 11.6846i) q^{88} +(-3.01244 + 5.21770i) q^{89} +(0.561260 - 0.941648i) q^{90} +(1.55748 - 2.13875i) q^{91} +4.58999i q^{92} +(-6.65562 + 6.56372i) q^{93} +(-7.20520 + 4.15992i) q^{94} +(0.399928 - 0.230898i) q^{95} +(4.27476 - 4.21574i) q^{96} -8.53007i q^{97} +(1.71434 - 7.97928i) q^{98} +(6.73118 - 11.2932i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} + O(q^{10}) \) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} - 12q^{10} - 30q^{12} + 12q^{15} - 16q^{16} - 10q^{18} + 10q^{21} - 8q^{22} + 36q^{24} - 36q^{25} - 20q^{28} - 22q^{30} + 12q^{31} + 36q^{36} - 36q^{40} + 48q^{42} - 32q^{43} - 6q^{45} - 48q^{46} + 36q^{49} - 16q^{51} - 54q^{54} - 8q^{57} - 12q^{58} + 16q^{60} - 72q^{61} - 86q^{63} - 48q^{64} - 78q^{66} + 32q^{67} - 4q^{70} + 62q^{72} + 48q^{73} + 48q^{75} - 20q^{78} - 64q^{79} + 28q^{81} + 72q^{82} - 18q^{84} + 64q^{85} + 60q^{87} + 44q^{88} + 8q^{91} - 38q^{93} + 72q^{94} + 66q^{96} - 68q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.00971 0.582955i −0.713971 0.412211i 0.0985587 0.995131i \(-0.468577\pi\)
−0.812530 + 0.582920i \(0.801910\pi\)
\(3\) 1.67611 0.436646i 0.967702 0.252098i
\(4\) −0.320327 0.554823i −0.160164 0.277412i
\(5\) −0.156706 + 0.271422i −0.0700809 + 0.121384i −0.898937 0.438079i \(-0.855659\pi\)
0.828856 + 0.559462i \(0.188992\pi\)
\(6\) −1.94692 0.536211i −0.794828 0.218907i
\(7\) 2.13875 + 1.55748i 0.808372 + 0.588671i
\(8\) 3.07876i 1.08851i
\(9\) 2.61868 1.46373i 0.872893 0.487911i
\(10\) 0.316454 0.182705i 0.100071 0.0577763i
\(11\) 3.79522 2.19117i 1.14430 0.660663i 0.196809 0.980442i \(-0.436942\pi\)
0.947492 + 0.319779i \(0.103609\pi\)
\(12\) −0.779165 0.790075i −0.224926 0.228075i
\(13\) 1.00000i 0.277350i
\(14\) −1.25157 2.81939i −0.334497 0.753514i
\(15\) −0.144140 + 0.523358i −0.0372168 + 0.135130i
\(16\) 1.15413 1.99900i 0.288531 0.499751i
\(17\) −1.80003 3.11774i −0.436570 0.756162i 0.560852 0.827916i \(-0.310474\pi\)
−0.997422 + 0.0717539i \(0.977140\pi\)
\(18\) −3.49739 0.0486303i −0.824343 0.0114623i
\(19\) −1.27605 0.736727i −0.292745 0.169017i 0.346434 0.938074i \(-0.387393\pi\)
−0.639179 + 0.769058i \(0.720726\pi\)
\(20\) 0.200788 0.0448977
\(21\) 4.26485 + 1.67662i 0.930666 + 0.365870i
\(22\) −5.10941 −1.08933
\(23\) −6.20466 3.58226i −1.29376 0.746953i −0.314442 0.949277i \(-0.601817\pi\)
−0.979319 + 0.202323i \(0.935151\pi\)
\(24\) 1.34433 + 5.16034i 0.274410 + 1.05335i
\(25\) 2.45089 + 4.24506i 0.490177 + 0.849012i
\(26\) −0.582955 + 1.00971i −0.114327 + 0.198020i
\(27\) 3.75006 3.59681i 0.721699 0.692207i
\(28\) 0.179024 1.68553i 0.0338324 0.318536i
\(29\) 2.70881i 0.503013i 0.967856 + 0.251507i \(0.0809261\pi\)
−0.967856 + 0.251507i \(0.919074\pi\)
\(30\) 0.450633 0.444411i 0.0822740 0.0811380i
\(31\) −4.67385 + 2.69845i −0.839449 + 0.484656i −0.857077 0.515188i \(-0.827722\pi\)
0.0176278 + 0.999845i \(0.494389\pi\)
\(32\) 3.00192 1.73316i 0.530669 0.306382i
\(33\) 5.40443 5.32981i 0.940791 0.927800i
\(34\) 4.19734i 0.719837i
\(35\) −0.757889 + 0.336439i −0.128107 + 0.0568686i
\(36\) −1.65095 0.984031i −0.275158 0.164005i
\(37\) −1.07911 + 1.86908i −0.177405 + 0.307275i −0.940991 0.338431i \(-0.890104\pi\)
0.763586 + 0.645706i \(0.223437\pi\)
\(38\) 0.858957 + 1.48776i 0.139341 + 0.241346i
\(39\) −0.436646 1.67611i −0.0699194 0.268392i
\(40\) −0.835645 0.482460i −0.132127 0.0762836i
\(41\) 8.78641 1.37221 0.686104 0.727504i \(-0.259320\pi\)
0.686104 + 0.727504i \(0.259320\pi\)
\(42\) −3.32885 4.17911i −0.513653 0.644851i
\(43\) −0.0932870 −0.0142261 −0.00711306 0.999975i \(-0.502264\pi\)
−0.00711306 + 0.999975i \(0.502264\pi\)
\(44\) −2.43143 1.40378i −0.366551 0.211628i
\(45\) −0.0130724 + 0.940143i −0.00194872 + 0.140148i
\(46\) 4.17659 + 7.23407i 0.615805 + 1.06661i
\(47\) 3.56796 6.17989i 0.520441 0.901430i −0.479277 0.877664i \(-0.659101\pi\)
0.999718 0.0237662i \(-0.00756573\pi\)
\(48\) 1.06158 3.85449i 0.153226 0.556348i
\(49\) 2.14852 + 6.66212i 0.306932 + 0.951732i
\(50\) 5.71502i 0.808226i
\(51\) −4.37839 4.43969i −0.613097 0.621681i
\(52\) −0.554823 + 0.320327i −0.0769402 + 0.0444214i
\(53\) −9.29072 + 5.36400i −1.27618 + 0.736802i −0.976144 0.217126i \(-0.930332\pi\)
−0.300035 + 0.953928i \(0.596998\pi\)
\(54\) −5.88324 + 1.44561i −0.800608 + 0.196723i
\(55\) 1.37347i 0.185199i
\(56\) −4.79511 + 6.58472i −0.640773 + 0.879920i
\(57\) −2.46048 0.677652i −0.325899 0.0897572i
\(58\) 1.57911 2.73511i 0.207348 0.359137i
\(59\) 5.87796 + 10.1809i 0.765245 + 1.32544i 0.940117 + 0.340852i \(0.110715\pi\)
−0.174872 + 0.984591i \(0.555951\pi\)
\(60\) 0.336543 0.0876735i 0.0434475 0.0113186i
\(61\) −5.91478 3.41490i −0.757310 0.437233i 0.0710192 0.997475i \(-0.477375\pi\)
−0.828329 + 0.560242i \(0.810708\pi\)
\(62\) 6.29230 0.799123
\(63\) 7.88044 + 0.947976i 0.992842 + 0.119434i
\(64\) −8.65792 −1.08224
\(65\) 0.271422 + 0.156706i 0.0336658 + 0.0194369i
\(66\) −8.56393 + 2.23101i −1.05415 + 0.274618i
\(67\) 5.49567 + 9.51877i 0.671402 + 1.16290i 0.977507 + 0.210905i \(0.0676411\pi\)
−0.306104 + 0.951998i \(0.599026\pi\)
\(68\) −1.15320 + 1.99739i −0.139846 + 0.242220i
\(69\) −11.9639 3.29502i −1.44028 0.396674i
\(70\) 0.961374 + 0.102110i 0.114906 + 0.0122045i
\(71\) 8.39369i 0.996148i 0.867135 + 0.498074i \(0.165959\pi\)
−0.867135 + 0.498074i \(0.834041\pi\)
\(72\) 4.50649 + 8.06230i 0.531095 + 0.950151i
\(73\) −4.82127 + 2.78356i −0.564287 + 0.325791i −0.754864 0.655881i \(-0.772297\pi\)
0.190577 + 0.981672i \(0.438964\pi\)
\(74\) 2.17918 1.25815i 0.253324 0.146257i
\(75\) 5.96154 + 6.04501i 0.688380 + 0.698018i
\(76\) 0.943975i 0.108281i
\(77\) 11.5297 + 1.22460i 1.31393 + 0.139556i
\(78\) −0.536211 + 1.94692i −0.0607139 + 0.220446i
\(79\) −1.21864 + 2.11075i −0.137108 + 0.237478i −0.926401 0.376539i \(-0.877114\pi\)
0.789293 + 0.614017i \(0.210447\pi\)
\(80\) 0.361716 + 0.626510i 0.0404411 + 0.0700460i
\(81\) 4.71497 7.66610i 0.523886 0.851789i
\(82\) −8.87171 5.12208i −0.979716 0.565639i
\(83\) −14.4055 −1.58121 −0.790607 0.612324i \(-0.790235\pi\)
−0.790607 + 0.612324i \(0.790235\pi\)
\(84\) −0.435917 2.90331i −0.0475625 0.316777i
\(85\) 1.12830 0.122381
\(86\) 0.0941925 + 0.0543821i 0.0101570 + 0.00586417i
\(87\) 1.18279 + 4.54026i 0.126809 + 0.486767i
\(88\) 6.74610 + 11.6846i 0.719137 + 1.24558i
\(89\) −3.01244 + 5.21770i −0.319318 + 0.553075i −0.980346 0.197286i \(-0.936787\pi\)
0.661028 + 0.750361i \(0.270120\pi\)
\(90\) 0.561260 0.941648i 0.0591620 0.0992585i
\(91\) 1.55748 2.13875i 0.163268 0.224202i
\(92\) 4.58999i 0.478539i
\(93\) −6.65562 + 6.56372i −0.690156 + 0.680626i
\(94\) −7.20520 + 4.15992i −0.743159 + 0.429063i
\(95\) 0.399928 0.230898i 0.0410317 0.0236897i
\(96\) 4.27476 4.21574i 0.436291 0.430267i
\(97\) 8.53007i 0.866097i −0.901371 0.433049i \(-0.857438\pi\)
0.901371 0.433049i \(-0.142562\pi\)
\(98\) 1.71434 7.97928i 0.173174 0.806029i
\(99\) 6.73118 11.2932i 0.676509 1.13501i
\(100\) 1.57017 2.71962i 0.157017 0.271962i
\(101\) −2.60344 4.50929i −0.259052 0.448691i 0.706936 0.707277i \(-0.250077\pi\)
−0.965988 + 0.258586i \(0.916743\pi\)
\(102\) 1.83275 + 7.03519i 0.181469 + 0.696588i
\(103\) −9.62280 5.55572i −0.948162 0.547422i −0.0556528 0.998450i \(-0.517724\pi\)
−0.892510 + 0.451028i \(0.851057\pi\)
\(104\) 3.07876 0.301898
\(105\) −1.12340 + 0.894837i −0.109632 + 0.0873272i
\(106\) 12.5079 1.21487
\(107\) −7.15876 4.13311i −0.692063 0.399563i 0.112321 0.993672i \(-0.464171\pi\)
−0.804384 + 0.594109i \(0.797505\pi\)
\(108\) −3.19684 0.928463i −0.307616 0.0893414i
\(109\) −7.38720 12.7950i −0.707565 1.22554i −0.965758 0.259445i \(-0.916460\pi\)
0.258193 0.966093i \(-0.416873\pi\)
\(110\) 0.800674 1.38681i 0.0763412 0.132227i
\(111\) −0.992586 + 3.60397i −0.0942121 + 0.342074i
\(112\) 5.58179 2.47785i 0.527430 0.234135i
\(113\) 8.77280i 0.825276i 0.910895 + 0.412638i \(0.135393\pi\)
−0.910895 + 0.412638i \(0.864607\pi\)
\(114\) 2.08933 + 2.11858i 0.195683 + 0.198423i
\(115\) 1.94461 1.12272i 0.181336 0.104694i
\(116\) 1.50291 0.867706i 0.139542 0.0805645i
\(117\) −1.46373 2.61868i −0.135322 0.242097i
\(118\) 13.7063i 1.26177i
\(119\) 1.00600 9.47157i 0.0922196 0.868257i
\(120\) −1.61130 0.443774i −0.147090 0.0405108i
\(121\) 4.10246 7.10566i 0.372951 0.645969i
\(122\) 3.98146 + 6.89610i 0.360465 + 0.624343i
\(123\) 14.7270 3.83655i 1.32789 0.345930i
\(124\) 2.99433 + 1.72878i 0.268899 + 0.155249i
\(125\) −3.10333 −0.277570
\(126\) −7.40431 5.55112i −0.659628 0.494533i
\(127\) 14.7711 1.31073 0.655363 0.755314i \(-0.272516\pi\)
0.655363 + 0.755314i \(0.272516\pi\)
\(128\) 2.73812 + 1.58086i 0.242018 + 0.139729i
\(129\) −0.156359 + 0.0407334i −0.0137666 + 0.00358638i
\(130\) −0.182705 0.316454i −0.0160243 0.0277548i
\(131\) −0.576985 + 0.999368i −0.0504114 + 0.0873152i −0.890130 0.455707i \(-0.849387\pi\)
0.839719 + 0.543022i \(0.182720\pi\)
\(132\) −4.68829 1.29122i −0.408063 0.112386i
\(133\) −1.58171 3.56309i −0.137152 0.308959i
\(134\) 12.8149i 1.10704i
\(135\) 0.388599 + 1.58149i 0.0334453 + 0.136113i
\(136\) 9.59878 5.54186i 0.823088 0.475210i
\(137\) −6.17328 + 3.56415i −0.527419 + 0.304506i −0.739965 0.672645i \(-0.765158\pi\)
0.212546 + 0.977151i \(0.431825\pi\)
\(138\) 10.1592 + 10.3014i 0.864805 + 0.876913i
\(139\) 7.46359i 0.633054i −0.948584 0.316527i \(-0.897483\pi\)
0.948584 0.316527i \(-0.102517\pi\)
\(140\) 0.429437 + 0.312724i 0.0362940 + 0.0264300i
\(141\) 3.28187 11.9161i 0.276383 1.00352i
\(142\) 4.89314 8.47517i 0.410623 0.711220i
\(143\) −2.19117 3.79522i −0.183235 0.317372i
\(144\) 0.0962775 6.92408i 0.00802313 0.577007i
\(145\) −0.735231 0.424486i −0.0610576 0.0352516i
\(146\) 6.49076 0.537179
\(147\) 6.51015 + 10.2283i 0.536948 + 0.843615i
\(148\) 1.38268 0.113656
\(149\) 8.14052 + 4.69993i 0.666898 + 0.385033i 0.794900 0.606740i \(-0.207523\pi\)
−0.128003 + 0.991774i \(0.540857\pi\)
\(150\) −2.49544 9.57900i −0.203752 0.782122i
\(151\) 8.54017 + 14.7920i 0.694989 + 1.20376i 0.970184 + 0.242368i \(0.0779243\pi\)
−0.275195 + 0.961388i \(0.588742\pi\)
\(152\) 2.26821 3.92865i 0.183976 0.318656i
\(153\) −9.27723 5.52960i −0.750019 0.447041i
\(154\) −10.9278 7.95780i −0.880585 0.641258i
\(155\) 1.69145i 0.135861i
\(156\) −0.790075 + 0.779165i −0.0632566 + 0.0623831i
\(157\) −1.02128 + 0.589637i −0.0815071 + 0.0470582i −0.540200 0.841537i \(-0.681651\pi\)
0.458693 + 0.888595i \(0.348318\pi\)
\(158\) 2.46095 1.42083i 0.195782 0.113035i
\(159\) −13.2301 + 13.0474i −1.04921 + 1.03473i
\(160\) 1.08638i 0.0858861i
\(161\) −7.69093 17.3252i −0.606131 1.36542i
\(162\) −9.22973 + 4.99190i −0.725156 + 0.392201i
\(163\) −0.710931 + 1.23137i −0.0556844 + 0.0964483i −0.892524 0.451000i \(-0.851067\pi\)
0.836839 + 0.547448i \(0.184401\pi\)
\(164\) −2.81453 4.87491i −0.219778 0.380666i
\(165\) 0.599723 + 2.30209i 0.0466883 + 0.179218i
\(166\) 14.5454 + 8.39778i 1.12894 + 0.651794i
\(167\) −2.74952 −0.212765 −0.106382 0.994325i \(-0.533927\pi\)
−0.106382 + 0.994325i \(0.533927\pi\)
\(168\) −5.16193 + 13.1305i −0.398252 + 1.01304i
\(169\) −1.00000 −0.0769231
\(170\) −1.13925 0.657746i −0.0873765 0.0504468i
\(171\) −4.41993 0.0614580i −0.338001 0.00469981i
\(172\) 0.0298824 + 0.0517578i 0.00227851 + 0.00394649i
\(173\) −3.00783 + 5.20971i −0.228681 + 0.396087i −0.957417 0.288707i \(-0.906775\pi\)
0.728737 + 0.684794i \(0.240108\pi\)
\(174\) 1.45249 5.27385i 0.110113 0.399809i
\(175\) −1.36975 + 12.8963i −0.103543 + 0.974871i
\(176\) 10.1155i 0.762488i
\(177\) 14.2976 + 14.4977i 1.07467 + 1.08972i
\(178\) 6.08336 3.51223i 0.455967 0.263253i
\(179\) 7.17837 4.14444i 0.536537 0.309770i −0.207137 0.978312i \(-0.566415\pi\)
0.743674 + 0.668542i \(0.233081\pi\)
\(180\) 0.525801 0.293901i 0.0391909 0.0219061i
\(181\) 19.8158i 1.47290i −0.676494 0.736448i \(-0.736502\pi\)
0.676494 0.736448i \(-0.263498\pi\)
\(182\) −2.81939 + 1.25157i −0.208987 + 0.0927729i
\(183\) −11.4049 3.14108i −0.843076 0.232195i
\(184\) 11.0289 19.1027i 0.813064 1.40827i
\(185\) −0.338207 0.585791i −0.0248654 0.0430682i
\(186\) 10.5466 2.74751i 0.773313 0.201457i
\(187\) −13.6630 7.88833i −0.999136 0.576852i
\(188\) −4.57167 −0.333423
\(189\) 13.6224 1.85205i 0.990884 0.134717i
\(190\) −0.538413 −0.0390606
\(191\) 16.6994 + 9.64142i 1.20833 + 0.697629i 0.962394 0.271657i \(-0.0875718\pi\)
0.245935 + 0.969286i \(0.420905\pi\)
\(192\) −14.5116 + 3.78045i −1.04728 + 0.272830i
\(193\) −4.25091 7.36279i −0.305987 0.529985i 0.671494 0.741010i \(-0.265653\pi\)
−0.977481 + 0.211025i \(0.932320\pi\)
\(194\) −4.97264 + 8.61287i −0.357015 + 0.618368i
\(195\) 0.523358 + 0.144140i 0.0374784 + 0.0103221i
\(196\) 3.00807 3.32611i 0.214862 0.237579i
\(197\) 2.05950i 0.146734i 0.997305 + 0.0733668i \(0.0233744\pi\)
−0.997305 + 0.0733668i \(0.976626\pi\)
\(198\) −13.3799 + 7.47882i −0.950869 + 0.531496i
\(199\) −22.0328 + 12.7207i −1.56187 + 0.901744i −0.564798 + 0.825229i \(0.691046\pi\)
−0.997068 + 0.0765144i \(0.975621\pi\)
\(200\) −13.0695 + 7.54570i −0.924156 + 0.533562i
\(201\) 13.3677 + 13.5548i 0.942883 + 0.956084i
\(202\) 6.07075i 0.427136i
\(203\) −4.21891 + 5.79347i −0.296110 + 0.406622i
\(204\) −1.06073 + 3.85139i −0.0742657 + 0.269651i
\(205\) −1.37688 + 2.38483i −0.0961655 + 0.166564i
\(206\) 6.47747 + 11.2193i 0.451307 + 0.781686i
\(207\) −21.4915 0.298833i −1.49376 0.0207704i
\(208\) −1.99900 1.15413i −0.138606 0.0800242i
\(209\) −6.45717 −0.446652
\(210\) 1.65595 0.248633i 0.114272 0.0171573i
\(211\) 24.0274 1.65411 0.827057 0.562118i \(-0.190013\pi\)
0.827057 + 0.562118i \(0.190013\pi\)
\(212\) 5.95215 + 3.43647i 0.408795 + 0.236018i
\(213\) 3.66507 + 14.0687i 0.251127 + 0.963974i
\(214\) 4.81883 + 8.34646i 0.329409 + 0.570552i
\(215\) 0.0146186 0.0253201i 0.000996980 0.00172682i
\(216\) 11.0737 + 11.5455i 0.753472 + 0.785575i
\(217\) −14.1990 1.50811i −0.963891 0.102377i
\(218\) 17.2256i 1.16667i
\(219\) −6.86554 + 6.77074i −0.463930 + 0.457524i
\(220\) 0.762036 0.439962i 0.0513765 0.0296622i
\(221\) −3.11774 + 1.80003i −0.209722 + 0.121083i
\(222\) 3.10318 3.06033i 0.208271 0.205396i
\(223\) 27.3470i 1.83129i 0.401990 + 0.915644i \(0.368319\pi\)
−0.401990 + 0.915644i \(0.631681\pi\)
\(224\) 9.11972 + 0.968627i 0.609337 + 0.0647191i
\(225\) 12.6317 + 7.52901i 0.842115 + 0.501934i
\(226\) 5.11415 8.85796i 0.340188 0.589223i
\(227\) −10.2443 17.7437i −0.679941 1.17769i −0.974998 0.222213i \(-0.928672\pi\)
0.295057 0.955480i \(-0.404661\pi\)
\(228\) 0.412183 + 1.58220i 0.0272975 + 0.104784i
\(229\) −7.02553 4.05619i −0.464260 0.268041i 0.249574 0.968356i \(-0.419710\pi\)
−0.713834 + 0.700315i \(0.753043\pi\)
\(230\) −2.61798 −0.172625
\(231\) 19.8598 2.98185i 1.30668 0.196191i
\(232\) −8.33979 −0.547534
\(233\) −14.5048 8.37434i −0.950240 0.548621i −0.0570844 0.998369i \(-0.518180\pi\)
−0.893155 + 0.449748i \(0.851514\pi\)
\(234\) −0.0486303 + 3.49739i −0.00317906 + 0.228632i
\(235\) 1.11824 + 1.93685i 0.0729459 + 0.126346i
\(236\) 3.76574 6.52246i 0.245129 0.424576i
\(237\) −1.12093 + 4.06997i −0.0728120 + 0.264373i
\(238\) −6.53726 + 8.97706i −0.423748 + 0.581896i
\(239\) 9.35739i 0.605279i 0.953105 + 0.302640i \(0.0978678\pi\)
−0.953105 + 0.302640i \(0.902132\pi\)
\(240\) 0.879839 + 0.892158i 0.0567933 + 0.0575885i
\(241\) 15.3922 8.88668i 0.991498 0.572442i 0.0857762 0.996314i \(-0.472663\pi\)
0.905722 + 0.423873i \(0.139330\pi\)
\(242\) −8.28456 + 4.78309i −0.532552 + 0.307469i
\(243\) 4.55543 14.9080i 0.292231 0.956348i
\(244\) 4.37554i 0.280116i
\(245\) −2.14493 0.460835i −0.137035 0.0294417i
\(246\) −17.1065 4.71137i −1.09067 0.300386i
\(247\) −0.736727 + 1.27605i −0.0468768 + 0.0811930i
\(248\) −8.30790 14.3897i −0.527552 0.913747i
\(249\) −24.1452 + 6.29012i −1.53014 + 0.398620i
\(250\) 3.13345 + 1.80910i 0.198177 + 0.114417i
\(251\) 28.6799 1.81026 0.905128 0.425139i \(-0.139775\pi\)
0.905128 + 0.425139i \(0.139775\pi\)
\(252\) −1.99836 4.67592i −0.125885 0.294555i
\(253\) −31.3974 −1.97394
\(254\) −14.9145 8.61090i −0.935820 0.540296i
\(255\) 1.89115 0.492667i 0.118428 0.0308520i
\(256\) 6.81478 + 11.8035i 0.425924 + 0.737722i
\(257\) 7.18769 12.4494i 0.448356 0.776575i −0.549923 0.835215i \(-0.685343\pi\)
0.998279 + 0.0586399i \(0.0186764\pi\)
\(258\) 0.181623 + 0.0500215i 0.0113073 + 0.00311420i
\(259\) −5.21901 + 2.31680i −0.324294 + 0.143959i
\(260\) 0.200788i 0.0124524i
\(261\) 3.96498 + 7.09351i 0.245426 + 0.439077i
\(262\) 1.16517 0.672713i 0.0719846 0.0415603i
\(263\) 19.9146 11.4977i 1.22799 0.708978i 0.261377 0.965237i \(-0.415823\pi\)
0.966608 + 0.256259i \(0.0824901\pi\)
\(264\) 16.4092 + 16.6390i 1.00992 + 1.02406i
\(265\) 3.36228i 0.206543i
\(266\) −0.480053 + 4.51975i −0.0294339 + 0.277124i
\(267\) −2.77089 + 10.0608i −0.169576 + 0.615711i
\(268\) 3.52083 6.09825i 0.215069 0.372510i
\(269\) −11.7921 20.4245i −0.718978 1.24531i −0.961405 0.275137i \(-0.911277\pi\)
0.242427 0.970170i \(-0.422056\pi\)
\(270\) 0.529566 1.82338i 0.0322283 0.110967i
\(271\) −17.5883 10.1546i −1.06841 0.616848i −0.140664 0.990057i \(-0.544924\pi\)
−0.927747 + 0.373210i \(0.878257\pi\)
\(272\) −8.30983 −0.503857
\(273\) 1.67662 4.26485i 0.101474 0.258120i
\(274\) 8.31095 0.502083
\(275\) 18.6033 + 10.7406i 1.12182 + 0.647684i
\(276\) 2.00420 + 7.69332i 0.120639 + 0.463083i
\(277\) −10.2155 17.6938i −0.613792 1.06312i −0.990595 0.136826i \(-0.956310\pi\)
0.376803 0.926293i \(-0.377023\pi\)
\(278\) −4.35094 + 7.53604i −0.260952 + 0.451982i
\(279\) −8.28952 + 13.9077i −0.496280 + 0.832630i
\(280\) −1.03582 2.33336i −0.0619019 0.139445i
\(281\) 5.84642i 0.348768i −0.984678 0.174384i \(-0.944207\pi\)
0.984678 0.174384i \(-0.0557935\pi\)
\(282\) −10.2603 + 10.1186i −0.610991 + 0.602554i
\(283\) 11.2190 6.47729i 0.666900 0.385035i −0.128001 0.991774i \(-0.540856\pi\)
0.794901 + 0.606739i \(0.207523\pi\)
\(284\) 4.65702 2.68873i 0.276343 0.159547i
\(285\) 0.569501 0.561638i 0.0337344 0.0332685i
\(286\) 5.10941i 0.302126i
\(287\) 18.7920 + 13.6846i 1.10925 + 0.807779i
\(288\) 5.32418 8.93260i 0.313731 0.526358i
\(289\) 2.01981 3.49842i 0.118812 0.205789i
\(290\) 0.494912 + 0.857213i 0.0290622 + 0.0503373i
\(291\) −3.72462 14.2973i −0.218341 0.838124i
\(292\) 3.08877 + 1.78330i 0.180757 + 0.104360i
\(293\) 0.385796 0.0225384 0.0112692 0.999937i \(-0.496413\pi\)
0.0112692 + 0.999937i \(0.496413\pi\)
\(294\) −0.610710 14.1227i −0.0356173 0.823653i
\(295\) −3.68444 −0.214516
\(296\) −5.75446 3.32234i −0.334471 0.193107i
\(297\) 6.35106 21.8677i 0.368526 1.26889i
\(298\) −5.47970 9.49111i −0.317430 0.549805i
\(299\) −3.58226 + 6.20466i −0.207168 + 0.358825i
\(300\) 1.44427 5.24399i 0.0833849 0.302762i
\(301\) −0.199518 0.145292i −0.0115000 0.00837452i
\(302\) 19.9141i 1.14593i
\(303\) −6.33261 6.42128i −0.363799 0.368893i
\(304\) −2.94544 + 1.70055i −0.168933 + 0.0975332i
\(305\) 1.85376 1.07027i 0.106146 0.0612834i
\(306\) 6.14378 + 10.9915i 0.351216 + 0.628341i
\(307\) 9.66359i 0.551530i 0.961225 + 0.275765i \(0.0889312\pi\)
−0.961225 + 0.275765i \(0.911069\pi\)
\(308\) −3.01385 6.78924i −0.171730 0.386853i
\(309\) −18.5547 5.11024i −1.05554 0.290711i
\(310\) −0.986039 + 1.70787i −0.0560032 + 0.0970005i
\(311\) 2.48159 + 4.29825i 0.140718 + 0.243731i 0.927767 0.373159i \(-0.121725\pi\)
−0.787049 + 0.616890i \(0.788392\pi\)
\(312\) 5.16034 1.34433i 0.292147 0.0761078i
\(313\) −0.316395 0.182671i −0.0178837 0.0103252i 0.491031 0.871142i \(-0.336620\pi\)
−0.508915 + 0.860817i \(0.669953\pi\)
\(314\) 1.37493 0.0775916
\(315\) −1.49221 + 1.99037i −0.0840766 + 0.112145i
\(316\) 1.56146 0.0878390
\(317\) 19.6115 + 11.3227i 1.10149 + 0.635948i 0.936613 0.350366i \(-0.113943\pi\)
0.164881 + 0.986314i \(0.447276\pi\)
\(318\) 20.9646 5.46152i 1.17563 0.306267i
\(319\) 5.93547 + 10.2805i 0.332322 + 0.575599i
\(320\) 1.35674 2.34995i 0.0758443 0.131366i
\(321\) −13.8036 3.80170i −0.770440 0.212190i
\(322\) −2.33421 + 21.9768i −0.130081 + 1.22472i
\(323\) 5.30451i 0.295151i
\(324\) −5.76367 0.160315i −0.320204 0.00890641i
\(325\) 4.24506 2.45089i 0.235474 0.135951i
\(326\) 1.43567 0.828882i 0.0795141 0.0459075i
\(327\) −17.9686 18.2202i −0.993668 1.00758i
\(328\) 27.0513i 1.49366i
\(329\) 17.2560 7.66024i 0.951356 0.422322i
\(330\) 0.736472 2.67405i 0.0405414 0.147202i
\(331\) −7.59214 + 13.1500i −0.417302 + 0.722788i −0.995667 0.0929898i \(-0.970358\pi\)
0.578365 + 0.815778i \(0.303691\pi\)
\(332\) 4.61449 + 7.99253i 0.253253 + 0.438647i
\(333\) −0.0900201 + 6.47406i −0.00493307 + 0.354776i
\(334\) 2.77621 + 1.60285i 0.151908 + 0.0877039i
\(335\) −3.44481 −0.188210
\(336\) 8.27375 6.59041i 0.451370 0.359537i
\(337\) −8.98426 −0.489404 −0.244702 0.969598i \(-0.578690\pi\)
−0.244702 + 0.969598i \(0.578690\pi\)
\(338\) 1.00971 + 0.582955i 0.0549208 + 0.0317086i
\(339\) 3.83061 + 14.7042i 0.208050 + 0.798621i
\(340\) −0.361424 0.626006i −0.0196010 0.0339499i
\(341\) −11.8255 + 20.4824i −0.640389 + 1.10919i
\(342\) 4.42701 + 2.63868i 0.239385 + 0.142683i
\(343\) −5.78095 + 17.5949i −0.312142 + 0.950035i
\(344\) 0.287209i 0.0154853i
\(345\) 2.76915 2.73091i 0.149086 0.147027i
\(346\) 6.07405 3.50685i 0.326543 0.188530i
\(347\) −28.1613 + 16.2590i −1.51178 + 0.872827i −0.511875 + 0.859060i \(0.671049\pi\)
−0.999905 + 0.0137668i \(0.995618\pi\)
\(348\) 2.14016 2.11061i 0.114725 0.113141i
\(349\) 5.53422i 0.296240i 0.988969 + 0.148120i \(0.0473222\pi\)
−0.988969 + 0.148120i \(0.952678\pi\)
\(350\) 8.90103 12.2230i 0.475780 0.653348i
\(351\) −3.59681 3.75006i −0.191984 0.200163i
\(352\) 7.59529 13.1554i 0.404830 0.701187i
\(353\) 5.17793 + 8.96844i 0.275594 + 0.477342i 0.970285 0.241966i \(-0.0777923\pi\)
−0.694691 + 0.719308i \(0.744459\pi\)
\(354\) −5.98482 22.9733i −0.318090 1.22102i
\(355\) −2.27823 1.31534i −0.120916 0.0698109i
\(356\) 3.85987 0.204573
\(357\) −2.44956 16.3146i −0.129645 0.863462i
\(358\) −9.66407 −0.510762
\(359\) −12.1819 7.03320i −0.642934 0.371198i 0.142810 0.989750i \(-0.454386\pi\)
−0.785744 + 0.618552i \(0.787720\pi\)
\(360\) −2.89448 0.0402470i −0.152552 0.00212120i
\(361\) −8.41447 14.5743i −0.442867 0.767068i
\(362\) −11.5517 + 20.0081i −0.607144 + 1.05160i
\(363\) 3.77350 13.7012i 0.198057 0.719126i
\(364\) −1.68553 0.179024i −0.0883459 0.00938343i
\(365\) 1.74480i 0.0913270i
\(366\) 9.68452 + 9.82012i 0.506218 + 0.513306i
\(367\) 14.4496 8.34248i 0.754263 0.435474i −0.0729690 0.997334i \(-0.523247\pi\)
0.827232 + 0.561860i \(0.189914\pi\)
\(368\) −14.3219 + 8.26876i −0.746581 + 0.431039i
\(369\) 23.0088 12.8610i 1.19779 0.669515i
\(370\) 0.788637i 0.0409993i
\(371\) −28.2249 2.99783i −1.46536 0.155640i
\(372\) 5.77368 + 1.59015i 0.299352 + 0.0824457i
\(373\) −2.42098 + 4.19326i −0.125354 + 0.217119i −0.921871 0.387497i \(-0.873340\pi\)
0.796517 + 0.604616i \(0.206673\pi\)
\(374\) 9.19708 + 15.9298i 0.475570 + 0.823711i
\(375\) −5.20151 + 1.35506i −0.268605 + 0.0699748i
\(376\) 19.0264 + 10.9849i 0.981214 + 0.566504i
\(377\) 2.70881 0.139511
\(378\) −14.8343 6.07121i −0.762994 0.312269i
\(379\) 14.0908 0.723798 0.361899 0.932217i \(-0.382128\pi\)
0.361899 + 0.932217i \(0.382128\pi\)
\(380\) −0.256216 0.147926i −0.0131436 0.00758845i
\(381\) 24.7580 6.44976i 1.26839 0.330431i
\(382\) −11.2410 19.4700i −0.575141 0.996173i
\(383\) 2.91746 5.05318i 0.149075 0.258206i −0.781811 0.623516i \(-0.785704\pi\)
0.930886 + 0.365310i \(0.119037\pi\)
\(384\) 5.27966 + 1.45410i 0.269427 + 0.0742040i
\(385\) −2.13916 + 2.93752i −0.109022 + 0.149710i
\(386\) 9.91235i 0.504525i
\(387\) −0.244289 + 0.136547i −0.0124179 + 0.00694108i
\(388\) −4.73268 + 2.73242i −0.240266 + 0.138717i
\(389\) 21.3776 12.3424i 1.08389 0.625783i 0.151946 0.988389i \(-0.451446\pi\)
0.931943 + 0.362605i \(0.118113\pi\)
\(390\) −0.444411 0.450633i −0.0225036 0.0228187i
\(391\) 25.7927i 1.30439i
\(392\) −20.5111 + 6.61479i −1.03597 + 0.334098i
\(393\) −0.530720 + 1.92699i −0.0267713 + 0.0972037i
\(394\) 1.20060 2.07950i 0.0604852 0.104763i
\(395\) −0.381937 0.661534i −0.0192173 0.0332854i
\(396\) −8.42189 0.117104i −0.423216 0.00588470i
\(397\) −20.6217 11.9059i −1.03497 0.597541i −0.116567 0.993183i \(-0.537189\pi\)
−0.918405 + 0.395642i \(0.870522\pi\)
\(398\) 29.6623 1.48684
\(399\) −4.20694 5.28148i −0.210610 0.264405i
\(400\) 11.3145 0.565726
\(401\) −32.4338 18.7257i −1.61967 0.935115i −0.987006 0.160685i \(-0.948630\pi\)
−0.632660 0.774429i \(-0.718037\pi\)
\(402\) −5.59558 21.4792i −0.279082 1.07128i
\(403\) 2.69845 + 4.67385i 0.134419 + 0.232821i
\(404\) −1.66791 + 2.88890i −0.0829814 + 0.143728i
\(405\) 1.34189 + 2.48107i 0.0666788 + 0.123285i
\(406\) 7.63720 3.39028i 0.379028 0.168257i
\(407\) 9.45810i 0.468820i
\(408\) 13.6688 13.4800i 0.676705 0.667361i
\(409\) 15.6888 9.05796i 0.775763 0.447887i −0.0591634 0.998248i \(-0.518843\pi\)
0.834927 + 0.550361i \(0.185510\pi\)
\(410\) 2.78049 1.60532i 0.137319 0.0792810i
\(411\) −8.79082 + 8.66944i −0.433619 + 0.427632i
\(412\) 7.11861i 0.350708i
\(413\) −3.28507 + 30.9293i −0.161648 + 1.52193i
\(414\) 21.5259 + 12.8303i 1.05794 + 0.630575i
\(415\) 2.25743 3.90998i 0.110813 0.191933i
\(416\) −1.73316 3.00192i −0.0849751 0.147181i
\(417\) −3.25895 12.5098i −0.159591 0.612607i
\(418\) 6.51986 + 3.76424i 0.318897 + 0.184115i
\(419\) 9.19606 0.449257 0.224628 0.974444i \(-0.427883\pi\)
0.224628 + 0.974444i \(0.427883\pi\)
\(420\) 0.856332 + 0.336647i 0.0417847 + 0.0164267i
\(421\) 29.0763 1.41709 0.708546 0.705664i \(-0.249351\pi\)
0.708546 + 0.705664i \(0.249351\pi\)
\(422\) −24.2606 14.0069i −1.18099 0.681844i
\(423\) 0.297641 21.4057i 0.0144718 1.04078i
\(424\) −16.5145 28.6039i −0.802015 1.38913i
\(425\) 8.82332 15.2824i 0.427994 0.741307i
\(426\) 4.50079 16.3419i 0.218064 0.791766i
\(427\) −7.33162 16.5158i −0.354802 0.799254i
\(428\) 5.29579i 0.255982i
\(429\) −5.32981 5.40443i −0.257326 0.260928i
\(430\) −0.0295210 + 0.0170440i −0.00142363 + 0.000821932i
\(431\) 3.61934 2.08963i 0.174337 0.100654i −0.410292 0.911954i \(-0.634573\pi\)
0.584630 + 0.811300i \(0.301240\pi\)
\(432\) −2.86200 11.6476i −0.137698 0.560393i
\(433\) 12.6625i 0.608521i −0.952589 0.304261i \(-0.901591\pi\)
0.952589 0.304261i \(-0.0984094\pi\)
\(434\) 13.4577 + 9.80012i 0.645989 + 0.470421i
\(435\) −1.41768 0.390448i −0.0679724 0.0187206i
\(436\) −4.73264 + 8.19718i −0.226653 + 0.392574i
\(437\) 5.27830 + 9.14228i 0.252495 + 0.437334i
\(438\) 10.8792 2.83417i 0.519830 0.135422i
\(439\) 30.0041 + 17.3229i 1.43202 + 0.826777i 0.997275 0.0737768i \(-0.0235053\pi\)
0.434745 + 0.900554i \(0.356839\pi\)
\(440\) −4.22861 −0.201591
\(441\) 15.3779 + 14.3011i 0.732279 + 0.681005i
\(442\) 4.19734 0.199647
\(443\) −0.444610 0.256696i −0.0211241 0.0121960i 0.489401 0.872059i \(-0.337216\pi\)
−0.510525 + 0.859863i \(0.670549\pi\)
\(444\) 2.31752 0.603742i 0.109985 0.0286523i
\(445\) −0.944132 1.63529i −0.0447562 0.0775200i
\(446\) 15.9420 27.6124i 0.754878 1.30749i
\(447\) 15.6966 + 4.32307i 0.742424 + 0.204474i
\(448\) −18.5171 13.4845i −0.874852 0.637083i
\(449\) 12.6244i 0.595784i 0.954600 + 0.297892i \(0.0962835\pi\)
−0.954600 + 0.297892i \(0.903716\pi\)
\(450\) −8.36527 14.9658i −0.394343 0.705496i
\(451\) 33.3464 19.2525i 1.57022 0.906566i
\(452\) 4.86736 2.81017i 0.228941 0.132179i
\(453\) 20.7731 + 21.0640i 0.976007 + 0.989672i
\(454\) 23.8880i 1.12112i
\(455\) 0.336439 + 0.757889i 0.0157725 + 0.0355304i
\(456\) 2.08633 7.57525i 0.0977015 0.354744i
\(457\) −6.58810 + 11.4109i −0.308178 + 0.533780i −0.977964 0.208774i \(-0.933053\pi\)
0.669786 + 0.742554i \(0.266386\pi\)
\(458\) 4.72915 + 8.19114i 0.220979 + 0.382747i
\(459\) −17.9641 5.21734i −0.838493 0.243525i
\(460\) −1.24582 0.719277i −0.0580868 0.0335365i
\(461\) −12.6733 −0.590253 −0.295127 0.955458i \(-0.595362\pi\)
−0.295127 + 0.955458i \(0.595362\pi\)
\(462\) −21.7909 8.56657i −1.01380 0.398553i
\(463\) 8.99871 0.418206 0.209103 0.977894i \(-0.432946\pi\)
0.209103 + 0.977894i \(0.432946\pi\)
\(464\) 5.41492 + 3.12631i 0.251382 + 0.145135i
\(465\) −0.738565 2.83505i −0.0342501 0.131472i
\(466\) 9.76372 + 16.9113i 0.452296 + 0.783399i
\(467\) −3.85821 + 6.68261i −0.178537 + 0.309234i −0.941379 0.337349i \(-0.890470\pi\)
0.762843 + 0.646584i \(0.223803\pi\)
\(468\) −0.984031 + 1.65095i −0.0454869 + 0.0763151i
\(469\) −3.07141 + 28.9177i −0.141825 + 1.33529i
\(470\) 2.60753i 0.120277i
\(471\) −1.45432 + 1.43423i −0.0670113 + 0.0660860i
\(472\) −31.3447 + 18.0968i −1.44276 + 0.832975i
\(473\) −0.354044 + 0.204408i −0.0162790 + 0.00939867i
\(474\) 3.50441 3.45603i 0.160963 0.158741i
\(475\) 7.22253i 0.331393i
\(476\) −5.57730 + 2.47585i −0.255635 + 0.113481i
\(477\) −16.4780 + 27.6457i −0.754474 + 1.26581i
\(478\) 5.45493 9.44822i 0.249503 0.432152i
\(479\) −12.2043 21.1385i −0.557630 0.965843i −0.997694 0.0678768i \(-0.978378\pi\)
0.440064 0.897966i \(-0.354956\pi\)
\(480\) 0.474365 + 1.82090i 0.0216517 + 0.0831121i
\(481\) 1.86908 + 1.07911i 0.0852228 + 0.0492034i
\(482\) −20.7221 −0.943868
\(483\) −20.4558 25.6807i −0.930772 1.16851i
\(484\) −5.25652 −0.238933
\(485\) 2.31525 + 1.33671i 0.105130 + 0.0606969i
\(486\) −13.2903 + 12.3971i −0.602862 + 0.562343i
\(487\) 9.61352 + 16.6511i 0.435630 + 0.754533i 0.997347 0.0727963i \(-0.0231923\pi\)
−0.561717 + 0.827330i \(0.689859\pi\)
\(488\) 10.5137 18.2102i 0.475932 0.824338i
\(489\) −0.653926 + 2.37433i −0.0295715 + 0.107371i
\(490\) 1.89711 + 1.71571i 0.0857026 + 0.0775078i
\(491\) 39.7410i 1.79349i −0.442549 0.896744i \(-0.645926\pi\)
0.442549 0.896744i \(-0.354074\pi\)
\(492\) −6.84607 6.94192i −0.308645 0.312966i
\(493\) 8.44536 4.87593i 0.380360 0.219601i
\(494\) 1.48776 0.858957i 0.0669373 0.0386463i
\(495\) 2.01040 + 3.59669i 0.0903608 + 0.161659i
\(496\) 12.4574i 0.559354i
\(497\) −13.0730 + 17.9520i −0.586404 + 0.805258i
\(498\) 28.0465 + 7.72440i 1.25679 + 0.346139i
\(499\) 3.25788 5.64282i 0.145843 0.252607i −0.783844 0.620958i \(-0.786744\pi\)
0.929687 + 0.368350i \(0.120077\pi\)
\(500\) 0.994081 + 1.72180i 0.0444566 + 0.0770012i
\(501\) −4.60850 + 1.20057i −0.205893 + 0.0536375i
\(502\) −28.9583 16.7191i −1.29247 0.746208i
\(503\) −5.31561 −0.237011 −0.118506 0.992953i \(-0.537810\pi\)
−0.118506 + 0.992953i \(0.537810\pi\)
\(504\) −2.91859 + 24.2620i −0.130005 + 1.08072i
\(505\) 1.63189 0.0726183
\(506\) 31.7022 + 18.3033i 1.40933 + 0.813679i
\(507\) −1.67611 + 0.436646i −0.0744386 + 0.0193921i
\(508\) −4.73160 8.19537i −0.209931 0.363611i
\(509\) 15.2177 26.3578i 0.674513 1.16829i −0.302099 0.953277i \(-0.597687\pi\)
0.976611 0.215013i \(-0.0689795\pi\)
\(510\) −2.19671 0.605005i −0.0972719 0.0267901i
\(511\) −14.6468 1.55568i −0.647938 0.0688190i
\(512\) 22.2143i 0.981741i
\(513\) −7.43512 + 1.82694i −0.328269 + 0.0806612i
\(514\) −14.5149 + 8.38020i −0.640226 + 0.369635i
\(515\) 3.01589 1.74123i 0.132896 0.0767276i
\(516\) 0.0726860 + 0.0737037i 0.00319982 + 0.00324462i
\(517\) 31.2721i 1.37534i
\(518\) 6.62027 + 0.703154i 0.290878 + 0.0308948i
\(519\) −2.76664 + 10.0454i −0.121442 + 0.440944i
\(520\) −0.482460 + 0.835645i −0.0211573 + 0.0366454i
\(521\) 1.44066 + 2.49529i 0.0631163 + 0.109321i 0.895857 0.444343i \(-0.146563\pi\)
−0.832741 + 0.553663i \(0.813229\pi\)
\(522\) 0.131730 9.47377i 0.00576567 0.414656i
\(523\) −6.22337 3.59306i −0.272129 0.157114i 0.357726 0.933827i \(-0.383552\pi\)
−0.629855 + 0.776713i \(0.716886\pi\)
\(524\) 0.739297 0.0322963
\(525\) 3.33529 + 22.2138i 0.145564 + 0.969488i
\(526\) −26.8105 −1.16899
\(527\) 16.8261 + 9.71457i 0.732957 + 0.423173i
\(528\) −4.41691 16.9548i −0.192222 0.737861i
\(529\) 14.1652 + 24.5348i 0.615878 + 1.06673i
\(530\) −1.96005 + 3.39491i −0.0851393 + 0.147466i
\(531\) 30.2946 + 18.0568i 1.31468 + 0.783599i
\(532\) −1.47022 + 2.01893i −0.0637422 + 0.0875317i
\(533\) 8.78641i 0.380582i
\(534\) 8.66278 8.54316i 0.374875 0.369699i
\(535\) 2.24363 1.29536i 0.0970008 0.0560034i
\(536\) −29.3061 + 16.9199i −1.26583 + 0.730827i
\(537\) 10.2221 10.0809i 0.441115 0.435024i
\(538\) 27.4971i 1.18548i
\(539\) 22.7520 + 20.5764i 0.979996 + 0.886289i
\(540\) 0.752969 0.722198i 0.0324026 0.0310785i
\(541\) −13.2598 + 22.9667i −0.570085 + 0.987417i 0.426471 + 0.904501i \(0.359756\pi\)
−0.996557 + 0.0829155i \(0.973577\pi\)
\(542\) 11.8393 + 20.5063i 0.508543 + 0.880822i
\(543\) −8.65249 33.2134i −0.371314 1.42532i
\(544\) −10.8071 6.23946i −0.463349 0.267515i
\(545\) 4.63046 0.198347
\(546\) −4.17911 + 3.32885i −0.178850 + 0.142462i
\(547\) 35.1018 1.50085 0.750423 0.660958i \(-0.229850\pi\)
0.750423 + 0.660958i \(0.229850\pi\)
\(548\) 3.95495 + 2.28339i 0.168947 + 0.0975415i
\(549\) −20.4874 0.284872i −0.874382 0.0121580i
\(550\) −12.5226 21.6898i −0.533965 0.924855i
\(551\) 1.99565 3.45657i 0.0850177 0.147255i
\(552\) 10.1446 36.8339i 0.431782 1.56776i
\(553\) −5.89383 + 2.61637i −0.250631 + 0.111259i
\(554\) 23.8208i 1.01205i
\(555\) −0.822654 0.834173i −0.0349197 0.0354087i
\(556\) −4.14098 + 2.39079i −0.175616 + 0.101392i
\(557\) 34.9076 20.1539i 1.47908 0.853949i 0.479363 0.877617i \(-0.340868\pi\)
0.999720 + 0.0236683i \(0.00753456\pi\)
\(558\) 16.4775 9.21025i 0.697549 0.389901i
\(559\) 0.0932870i 0.00394562i
\(560\) −0.202156 + 1.90332i −0.00854263 + 0.0804298i
\(561\) −26.3451 7.25580i −1.11229 0.306340i
\(562\) −3.40820 + 5.90318i −0.143766 + 0.249011i
\(563\) 3.30993 + 5.73296i 0.139497 + 0.241616i 0.927306 0.374303i \(-0.122118\pi\)
−0.787809 + 0.615919i \(0.788785\pi\)
\(564\) −7.66261 + 1.99620i −0.322654 + 0.0840552i
\(565\) −2.38113 1.37475i −0.100175 0.0578361i
\(566\) −15.1039 −0.634863
\(567\) 22.0239 9.05242i 0.924918 0.380166i
\(568\) −25.8422 −1.08431
\(569\) −5.30174 3.06096i −0.222261 0.128322i 0.384736 0.923027i \(-0.374293\pi\)
−0.606997 + 0.794704i \(0.707626\pi\)
\(570\) −0.902439 + 0.235096i −0.0377990 + 0.00984709i
\(571\) 14.4677 + 25.0587i 0.605453 + 1.04867i 0.991980 + 0.126397i \(0.0403412\pi\)
−0.386527 + 0.922278i \(0.626325\pi\)
\(572\) −1.40378 + 2.43143i −0.0586952 + 0.101663i
\(573\) 32.2000 + 8.86833i 1.34517 + 0.370480i
\(574\) −10.9968 24.7724i −0.459000 1.03398i
\(575\) 35.1189i 1.46456i
\(576\) −22.6723 + 12.6729i −0.944680 + 0.528036i
\(577\) −9.95700 + 5.74868i −0.414515 + 0.239321i −0.692728 0.721199i \(-0.743591\pi\)
0.278213 + 0.960520i \(0.410258\pi\)
\(578\) −4.07884 + 2.35492i −0.169657 + 0.0979516i
\(579\) −10.3399 10.4847i −0.429712 0.435729i
\(580\) 0.543898i 0.0225841i
\(581\) −30.8099 22.4363i −1.27821 0.930815i
\(582\) −4.57391 + 16.6074i −0.189595 + 0.688399i
\(583\) −23.5069 + 40.7151i −0.973555 + 1.68625i
\(584\) −8.56993 14.8436i −0.354626 0.614231i
\(585\) 0.940143 + 0.0130724i 0.0388701 + 0.000540479i
\(586\) −0.389541 0.224902i −0.0160918 0.00929060i
\(587\) −27.8836 −1.15088 −0.575440 0.817844i \(-0.695169\pi\)
−0.575440 + 0.817844i \(0.695169\pi\)
\(588\) 3.58952 6.88839i 0.148029 0.284072i
\(589\) 7.95208 0.327660
\(590\) 3.72020 + 2.14786i 0.153158 + 0.0884260i
\(591\) 0.899275 + 3.45195i 0.0369912 + 0.141994i
\(592\) 2.49087 + 4.31431i 0.102374 + 0.177317i
\(593\) −3.09759 + 5.36518i −0.127203 + 0.220322i −0.922592 0.385778i \(-0.873933\pi\)
0.795389 + 0.606099i \(0.207267\pi\)
\(594\) −19.1606 + 18.3776i −0.786169 + 0.754042i
\(595\) 2.41315 + 1.75730i 0.0989294 + 0.0720422i
\(596\) 6.02207i 0.246674i
\(597\) −31.3750 + 30.9418i −1.28409 + 1.26636i
\(598\) 7.23407 4.17659i 0.295823 0.170794i
\(599\) 4.45091 2.56973i 0.181859 0.104996i −0.406307 0.913737i \(-0.633184\pi\)
0.588166 + 0.808740i \(0.299850\pi\)
\(600\) −18.6112 + 18.3542i −0.759798 + 0.749306i
\(601\) 15.5050i 0.632462i −0.948682 0.316231i \(-0.897582\pi\)
0.948682 0.316231i \(-0.102418\pi\)
\(602\) 0.116756 + 0.263013i 0.00475860 + 0.0107196i
\(603\) 28.3243 + 16.8824i 1.15346 + 0.687506i
\(604\) 5.47130 9.47658i 0.222624 0.385596i
\(605\) 1.28576 + 2.22699i 0.0522734 + 0.0905402i
\(606\) 2.65077 + 10.1752i 0.107680 + 0.413341i
\(607\) −13.1742 7.60612i −0.534724 0.308723i 0.208214 0.978083i \(-0.433235\pi\)
−0.742938 + 0.669360i \(0.766568\pi\)
\(608\) −5.10746 −0.207135
\(609\) −4.54166 + 11.5527i −0.184037 + 0.468138i
\(610\) −2.49567 −0.101047
\(611\) −6.17989 3.56796i −0.250012 0.144344i
\(612\) −0.0962000 + 6.91851i −0.00388865 + 0.279664i
\(613\) 2.10189 + 3.64057i 0.0848944 + 0.147041i 0.905346 0.424674i \(-0.139611\pi\)
−0.820452 + 0.571716i \(0.806278\pi\)
\(614\) 5.63343 9.75740i 0.227347 0.393776i
\(615\) −1.26648 + 4.59844i −0.0510692 + 0.185427i
\(616\) −3.77026 + 35.4973i −0.151908 + 1.43023i
\(617\) 38.2386i 1.53943i 0.638389 + 0.769714i \(0.279601\pi\)
−0.638389 + 0.769714i \(0.720399\pi\)
\(618\) 15.7558 + 15.9764i 0.633792 + 0.642666i
\(619\) −11.9160 + 6.87970i −0.478944 + 0.276519i −0.719976 0.693999i \(-0.755847\pi\)
0.241032 + 0.970517i \(0.422514\pi\)
\(620\) −0.938456 + 0.541818i −0.0376893 + 0.0217599i
\(621\) −36.1526 + 8.88330i −1.45075 + 0.356475i
\(622\) 5.78663i 0.232023i
\(623\) −14.5693 + 6.46755i −0.583707 + 0.259117i
\(624\) −3.85449 1.06158i −0.154303 0.0424973i
\(625\) −11.7681 + 20.3830i −0.470725 + 0.815320i
\(626\) 0.212978 + 0.368888i 0.00851230 + 0.0147437i
\(627\) −10.8229 + 2.81950i −0.432226 + 0.112600i
\(628\) 0.654289 + 0.377754i 0.0261090 + 0.0150740i
\(629\) 7.76974 0.309800
\(630\) 2.66699 1.13980i 0.106256 0.0454108i
\(631\) 12.6357 0.503018 0.251509 0.967855i \(-0.419073\pi\)
0.251509 + 0.967855i \(0.419073\pi\)
\(632\) −6.49851 3.75192i −0.258497 0.149243i
\(633\) 40.2725 10.4915i 1.60069 0.416998i
\(634\) −13.2013 22.8653i −0.524290 0.908096i
\(635\) −2.31472 + 4.00921i −0.0918568 + 0.159101i
\(636\) 11.4770 + 3.16092i 0.455091 + 0.125339i
\(637\) 6.66212 2.14852i 0.263963 0.0851276i
\(638\) 13.8404i 0.547948i
\(639\) 12.2861 + 21.9804i 0.486031 + 0.869531i
\(640\) −0.858158 + 0.495458i −0.0339217 + 0.0195847i
\(641\) −22.0064 + 12.7054i −0.869200 + 0.501833i −0.867082 0.498165i \(-0.834007\pi\)
−0.00211773 + 0.999998i \(0.500674\pi\)
\(642\) 11.7213 + 11.8855i 0.462604 + 0.469081i
\(643\) 9.47369i 0.373606i −0.982397 0.186803i \(-0.940187\pi\)
0.982397 0.186803i \(-0.0598126\pi\)
\(644\) −7.14881 + 9.81685i −0.281702 + 0.386838i
\(645\) 0.0134464 0.0488225i 0.000529452 0.00192238i
\(646\) 3.09229 5.35600i 0.121664 0.210729i
\(647\) 4.60156 + 7.97014i 0.180906 + 0.313338i 0.942189 0.335081i \(-0.108764\pi\)
−0.761283 + 0.648419i \(0.775430\pi\)
\(648\) 23.6021 + 14.5163i 0.927178 + 0.570254i
\(649\) 44.6163 + 25.7592i 1.75134 + 1.01114i
\(650\) −5.71502 −0.224162
\(651\) −24.4576 + 3.67218i −0.958568 + 0.143924i
\(652\) 0.910923 0.0356745
\(653\) 8.12600 + 4.69155i 0.317995 + 0.183595i 0.650499 0.759507i \(-0.274560\pi\)
−0.332503 + 0.943102i \(0.607893\pi\)
\(654\) 7.52150 + 28.8720i 0.294114 + 1.12898i
\(655\) −0.180834 0.313213i −0.00706576 0.0122383i
\(656\) 10.1406 17.5641i 0.395925 0.685762i
\(657\) −8.55098 + 14.3463i −0.333605 + 0.559703i
\(658\) −21.8891 2.32489i −0.853327 0.0906338i
\(659\) 45.8744i 1.78701i −0.449052 0.893506i \(-0.648238\pi\)
0.449052 0.893506i \(-0.351762\pi\)
\(660\) 1.08515 1.07016i 0.0422393 0.0416561i
\(661\) 11.2386 6.48858i 0.437129 0.252377i −0.265250 0.964180i \(-0.585454\pi\)
0.702379 + 0.711803i \(0.252121\pi\)
\(662\) 15.3317 8.85175i 0.595883 0.344033i
\(663\) −4.43969 + 4.37839i −0.172423 + 0.170042i
\(664\) 44.3513i 1.72116i
\(665\) 1.21497 + 0.129044i 0.0471143 + 0.00500413i
\(666\) 3.86498 6.48443i 0.149765 0.251267i
\(667\) 9.70367 16.8072i 0.375728 0.650779i
\(668\) 0.880748 + 1.52550i 0.0340772 + 0.0590234i
\(669\) 11.9410 + 45.8365i 0.461664 + 1.77214i
\(670\) 3.47825 + 2.00817i 0.134376 + 0.0775822i
\(671\) −29.9305 −1.15545
\(672\) 15.7086 2.35857i 0.605972 0.0909837i
\(673\) −24.6608 −0.950604 −0.475302 0.879823i \(-0.657661\pi\)
−0.475302 + 0.879823i \(0.657661\pi\)
\(674\) 9.07147 + 5.23741i 0.349420 + 0.201738i
\(675\) 24.4597 + 7.10385i 0.941453 + 0.273427i
\(676\) 0.320327 + 0.554823i 0.0123203 + 0.0213394i
\(677\) 2.56926 4.45009i 0.0987447 0.171031i −0.812421 0.583072i \(-0.801851\pi\)
0.911165 + 0.412041i \(0.135184\pi\)
\(678\) 4.70407 17.0800i 0.180659 0.655953i
\(679\) 13.2854 18.2437i 0.509847 0.700129i
\(680\) 3.47376i 0.133213i
\(681\) −24.9184 25.2673i −0.954874 0.968244i
\(682\) 23.8807 13.7875i 0.914438 0.527951i
\(683\) 22.3794 12.9208i 0.856325 0.494399i −0.00645490 0.999979i \(-0.502055\pi\)
0.862780 + 0.505580i \(0.168721\pi\)
\(684\) 1.38173 + 2.47197i 0.0528317 + 0.0945181i
\(685\) 2.23409i 0.0853601i
\(686\) 16.0941 14.3957i 0.614476 0.549629i
\(687\) −13.5467 3.73095i −0.516838 0.142345i
\(688\) −0.107665 + 0.186481i −0.00410469 + 0.00710952i
\(689\) 5.36400 + 9.29072i 0.204352 + 0.353948i
\(690\) −4.38802 + 1.14313i −0.167049 + 0.0435183i
\(691\) 17.8058 + 10.2802i 0.677365 + 0.391077i 0.798861 0.601515i \(-0.205436\pi\)
−0.121497 + 0.992592i \(0.538769\pi\)
\(692\) 3.85396 0.146505
\(693\) 31.9852 13.6696i 1.21502 0.519266i
\(694\) 37.9130 1.43916
\(695\) 2.02578 + 1.16959i 0.0768424 + 0.0443650i
\(696\) −13.9784 + 3.64154i −0.529850 + 0.138032i
\(697\) −15.8158 27.3937i −0.599065 1.03761i
\(698\) 3.22620 5.58794i 0.122113 0.211507i
\(699\) −27.9682 7.70284i −1.05785 0.291348i
\(700\) 7.59396 3.37108i 0.287025 0.127415i
\(701\) 8.86469i 0.334815i 0.985888 + 0.167407i \(0.0535395\pi\)
−0.985888 + 0.167407i \(0.946460\pi\)
\(702\) 1.44561 + 5.88324i 0.0545611 + 0.222049i
\(703\) 2.75400 1.59002i 0.103869 0.0599689i
\(704\) −32.8587 + 18.9710i −1.23841 + 0.714995i
\(705\) 2.72001 + 2.75809i 0.102441 + 0.103876i
\(706\) 12.0740i 0.454411i
\(707\) 1.45501 13.6991i 0.0547212 0.515206i
\(708\) 3.46379 12.5766i 0.130177 0.472659i
\(709\) 12.6055 21.8334i 0.473410 0.819970i −0.526127 0.850406i \(-0.676356\pi\)
0.999537 + 0.0304361i \(0.00968962\pi\)
\(710\) 1.53357 + 2.65621i 0.0575537 + 0.0996859i
\(711\) −0.101660 + 7.31116i −0.00381253 + 0.274190i
\(712\) −16.0641 9.27459i −0.602026 0.347580i
\(713\) 38.6662 1.44806
\(714\) −7.03736 + 17.9010i −0.263366 + 0.669928i
\(715\) 1.37347 0.0513650
\(716\) −4.59886 2.65515i −0.171867 0.0992277i
\(717\) 4.08587 + 15.6840i 0.152590 + 0.585730i
\(718\) 8.20008 + 14.2030i 0.306024 + 0.530050i
\(719\) −16.8123 + 29.1197i −0.626991 + 1.08598i 0.361161 + 0.932503i \(0.382380\pi\)
−0.988152 + 0.153477i \(0.950953\pi\)
\(720\) 1.86426 + 1.11117i 0.0694770 + 0.0414110i
\(721\) −11.9279 26.8696i −0.444217 1.00068i
\(722\) 19.6210i 0.730219i
\(723\) 21.9186 21.6160i 0.815163 0.803907i
\(724\) −10.9943 + 6.34754i −0.408599 + 0.235905i
\(725\) −11.4991 + 6.63899i −0.427064 + 0.246566i
\(726\) −11.7973 + 11.6344i −0.437839 + 0.431793i
\(727\) 20.8434i 0.773041i 0.922281 + 0.386520i \(0.126323\pi\)
−0.922281 + 0.386520i \(0.873677\pi\)
\(728\) 6.58472 + 4.79511i 0.244046 + 0.177719i
\(729\) 1.12588 26.9765i 0.0416994 0.999130i
\(730\) −1.01714 + 1.76174i −0.0376460 + 0.0652048i
\(731\) 0.167919 + 0.290844i 0.00621071 + 0.0107573i
\(732\) 1.91056 + 7.33389i 0.0706165 + 0.271068i
\(733\) 13.6131 + 7.85954i 0.502812 + 0.290299i 0.729874 0.683582i \(-0.239579\pi\)
−0.227062 + 0.973880i \(0.572912\pi\)
\(734\) −19.4532 −0.718029
\(735\) −3.79636 + 0.164166i −0.140031 + 0.00605537i
\(736\) −24.8345 −0.915412
\(737\) 41.7145 + 24.0839i 1.53657 + 0.887141i
\(738\) −30.7295 0.427286i −1.13117 0.0157286i
\(739\) −10.6249 18.4029i −0.390844 0.676961i 0.601717 0.798709i \(-0.294483\pi\)
−0.992561 + 0.121748i \(0.961150\pi\)
\(740\) −0.216674 + 0.375290i −0.00796509 + 0.0137959i
\(741\) −0.677652 + 2.46048i −0.0248942 + 0.0903881i
\(742\) 26.7512 + 19.4807i 0.982069 + 0.715161i
\(743\) 18.1749i 0.666772i 0.942790 + 0.333386i \(0.108191\pi\)
−0.942790 + 0.333386i \(0.891809\pi\)
\(744\) −20.2081 20.4911i −0.740867 0.751240i
\(745\) −2.55133 + 1.47301i −0.0934735 + 0.0539670i
\(746\) 4.88897 2.82265i 0.178998 0.103344i
\(747\) −37.7235 + 21.0859i −1.38023 + 0.771491i
\(748\) 10.1074i 0.369563i
\(749\) −8.87358 19.9893i −0.324233 0.730393i
\(750\) 6.04194 + 1.66404i 0.220621 + 0.0607620i
\(751\) 20.6232 35.7204i 0.752551 1.30346i −0.194032 0.980995i \(-0.562157\pi\)
0.946583 0.322461i \(-0.104510\pi\)
\(752\) −8.23576 14.2647i −0.300327 0.520182i
\(753\) 48.0705 12.5229i 1.75179 0.456362i
\(754\) −2.73511 1.57911i −0.0996067 0.0575079i
\(755\) −5.35317 −0.194822
\(756\) −5.39119 6.96477i −0.196076 0.253306i
\(757\) 0.0326836 0.00118790 0.000593952 1.00000i \(-0.499811\pi\)
0.000593952 1.00000i \(0.499811\pi\)
\(758\) −14.2276 8.21433i −0.516771 0.298358i
\(759\) −52.6254 + 13.7095i −1.91018 + 0.497625i
\(760\) 0.710882 + 1.23128i 0.0257864 + 0.0446633i
\(761\) −14.9592 + 25.9101i −0.542272 + 0.939242i 0.456502 + 0.889723i \(0.349102\pi\)
−0.998773 + 0.0495194i \(0.984231\pi\)
\(762\) −28.7583 7.92043i −1.04180 0.286927i
\(763\) 4.12855 38.8707i 0.149464 1.40721i
\(764\) 12.3537i 0.446939i
\(765\) 2.95465 1.65153i 0.106826 0.0597110i
\(766\) −5.89155 + 3.40149i −0.212870 + 0.122901i
\(767\) 10.1809 5.87796i 0.367612 0.212241i
\(768\) 16.5763 + 16.8084i 0.598145 + 0.606520i
\(769\) 16.4361i 0.592701i −0.955079 0.296350i \(-0.904230\pi\)
0.955079 0.296350i \(-0.0957696\pi\)
\(770\) 3.87237 1.71901i 0.139550 0.0619487i
\(771\) 6.61135 24.0051i 0.238102 0.864523i
\(772\) −2.72337 + 4.71701i −0.0980161 + 0.169769i
\(773\) −10.1274 17.5411i −0.364256 0.630910i 0.624401 0.781104i \(-0.285343\pi\)
−0.988656 + 0.150195i \(0.952010\pi\)
\(774\) 0.326261 + 0.00453657i 0.0117272 + 0.000163064i
\(775\) −22.9102 13.2272i −0.822958 0.475135i