Properties

Label 930.2.br.a.11.6
Level $930$
Weight $2$
Character 930.11
Analytic conductor $7.426$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.br (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 11.6
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.a.761.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.951057 + 0.309017i) q^{2} +(0.164188 + 1.72425i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-0.688975 - 1.58912i) q^{6} +(-0.487372 - 4.63703i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-2.94608 + 0.566203i) q^{9} +O(q^{10})\) \(q+(-0.951057 + 0.309017i) q^{2} +(0.164188 + 1.72425i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-0.688975 - 1.58912i) q^{6} +(-0.487372 - 4.63703i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-2.94608 + 0.566203i) q^{9} +(-0.669131 + 0.743145i) q^{10} +(0.793581 + 0.353325i) q^{11} +(1.14632 + 1.29844i) q^{12} +(0.254594 + 1.19777i) q^{13} +(1.89644 + 4.25947i) q^{14} +(1.00432 + 1.41115i) q^{15} +(0.309017 - 0.951057i) q^{16} +(2.33896 - 1.04137i) q^{17} +(2.62693 - 1.44888i) q^{18} +(-6.87933 - 1.46225i) q^{19} +(0.406737 - 0.913545i) q^{20} +(7.91539 - 1.60170i) q^{21} +(-0.863924 - 0.0908021i) q^{22} +(-3.09069 - 2.24552i) q^{23} +(-1.49146 - 0.880658i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-0.612264 - 1.06047i) q^{26} +(-1.45999 - 4.98683i) q^{27} +(-3.11987 - 3.46497i) q^{28} +(-1.73394 - 5.33652i) q^{29} +(-1.39123 - 1.03173i) q^{30} +(-4.35158 - 3.47329i) q^{31} +1.00000i q^{32} +(-0.478925 + 1.42635i) q^{33} +(-1.90268 + 1.71318i) q^{34} +(-2.74059 - 3.77210i) q^{35} +(-2.05063 + 2.18973i) q^{36} +(-6.74761 - 3.89573i) q^{37} +(6.99449 - 0.735150i) q^{38} +(-2.02345 + 0.635643i) q^{39} +(-0.104528 + 0.994522i) q^{40} +(3.65338 + 3.28952i) q^{41} +(-7.03303 + 3.96930i) q^{42} +(2.00531 - 9.43422i) q^{43} +(0.849700 - 0.180609i) q^{44} +(-2.26828 + 1.96339i) q^{45} +(3.63333 + 1.18054i) q^{46} +(8.17122 + 2.65499i) q^{47} +(1.69060 + 0.376671i) q^{48} +(-14.4175 + 3.06454i) q^{49} +(-0.207912 + 0.978148i) q^{50} +(2.17962 + 3.86198i) q^{51} +(0.910001 + 0.819369i) q^{52} +(0.0119241 - 0.113450i) q^{53} +(2.92955 + 4.29159i) q^{54} +(0.863924 - 0.0908021i) q^{55} +(4.03791 + 2.33129i) q^{56} +(1.39178 - 12.1018i) q^{57} +(3.29815 + 4.53951i) q^{58} +(7.95569 - 7.16334i) q^{59} +(1.64196 + 0.551323i) q^{60} +9.88995i q^{61} +(5.21190 + 1.95859i) q^{62} +(4.06134 + 13.3851i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(0.819369 + 0.910001i) q^{65} +(0.0147194 - 1.50453i) q^{66} +(-0.378654 - 0.655849i) q^{67} +(1.28016 - 2.21730i) q^{68} +(3.36438 - 5.69782i) q^{69} +(3.77210 + 2.74059i) q^{70} +(-2.04879 - 0.215337i) q^{71} +(1.27360 - 2.71624i) q^{72} +(5.12221 - 11.5047i) q^{73} +(7.62120 + 1.61994i) q^{74} +(1.57534 + 0.719934i) q^{75} +(-6.42498 + 2.86059i) q^{76} +(1.25161 - 3.85206i) q^{77} +(1.72799 - 1.22981i) q^{78} +(4.61682 + 10.3696i) q^{79} +(-0.207912 - 0.978148i) q^{80} +(8.35883 - 3.33617i) q^{81} +(-4.49109 - 1.99956i) q^{82} +(-2.31676 + 2.57302i) q^{83} +(5.46223 - 5.94835i) q^{84} +(1.50491 - 2.07134i) q^{85} +(1.00818 + 9.59215i) q^{86} +(8.91681 - 3.86594i) q^{87} +(-0.752301 + 0.434341i) q^{88} +(-5.10306 + 3.70759i) q^{89} +(1.55054 - 2.56823i) q^{90} +(5.43001 - 1.76432i) q^{91} -3.82031 q^{92} +(5.27435 - 8.07349i) q^{93} -8.59173 q^{94} +(-6.68880 + 2.17332i) q^{95} +(-1.72425 + 0.164188i) q^{96} +(9.19646 - 6.68162i) q^{97} +(12.7649 - 7.36980i) q^{98} +(-2.53801 - 0.591597i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} + O(q^{10}) \) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} - 22q^{10} - 38q^{13} - 44q^{16} + 12q^{18} + 8q^{19} - 18q^{21} - 4q^{22} + 88q^{25} - 90q^{27} + 36q^{28} + 24q^{31} + 18q^{33} + 14q^{34} + 4q^{36} - 42q^{37} - 42q^{39} + 22q^{40} - 12q^{42} - 34q^{43} - 8q^{45} + 10q^{46} + 22q^{49} + 26q^{51} - 2q^{52} + 4q^{55} + 114q^{57} + 32q^{63} + 44q^{64} - 42q^{66} + 20q^{67} + 16q^{69} + 8q^{70} - 12q^{72} - 28q^{73} + 12q^{76} - 92q^{78} - 56q^{79} - 124q^{81} - 32q^{82} - 12q^{84} - 36q^{87} - 6q^{88} + 24q^{90} - 140q^{91} - 104q^{93} - 36q^{94} + 88q^{97} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{30}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.951057 + 0.309017i −0.672499 + 0.218508i
\(3\) 0.164188 + 1.72425i 0.0947941 + 0.995497i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) −0.688975 1.58912i −0.281273 0.648757i
\(7\) −0.487372 4.63703i −0.184209 1.75263i −0.562362 0.826891i \(-0.690107\pi\)
0.378153 0.925743i \(-0.376559\pi\)
\(8\) −0.587785 + 0.809017i −0.207813 + 0.286031i
\(9\) −2.94608 + 0.566203i −0.982028 + 0.188734i
\(10\) −0.669131 + 0.743145i −0.211598 + 0.235003i
\(11\) 0.793581 + 0.353325i 0.239274 + 0.106532i 0.522871 0.852412i \(-0.324861\pi\)
−0.283597 + 0.958944i \(0.591528\pi\)
\(12\) 1.14632 + 1.29844i 0.330914 + 0.374828i
\(13\) 0.254594 + 1.19777i 0.0706115 + 0.332201i 0.999247 0.0387915i \(-0.0123508\pi\)
−0.928636 + 0.370993i \(0.879017\pi\)
\(14\) 1.89644 + 4.25947i 0.506845 + 1.13839i
\(15\) 1.00432 + 1.41115i 0.259313 + 0.364358i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 2.33896 1.04137i 0.567282 0.252570i −0.102994 0.994682i \(-0.532842\pi\)
0.670276 + 0.742112i \(0.266176\pi\)
\(18\) 2.62693 1.44888i 0.619172 0.341505i
\(19\) −6.87933 1.46225i −1.57823 0.335462i −0.666257 0.745722i \(-0.732105\pi\)
−0.911969 + 0.410260i \(0.865438\pi\)
\(20\) 0.406737 0.913545i 0.0909491 0.204275i
\(21\) 7.91539 1.60170i 1.72728 0.349519i
\(22\) −0.863924 0.0908021i −0.184189 0.0193591i
\(23\) −3.09069 2.24552i −0.644454 0.468223i 0.216924 0.976189i \(-0.430398\pi\)
−0.861377 + 0.507965i \(0.830398\pi\)
\(24\) −1.49146 0.880658i −0.304442 0.179764i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −0.612264 1.06047i −0.120075 0.207976i
\(27\) −1.45999 4.98683i −0.280975 0.959715i
\(28\) −3.11987 3.46497i −0.589600 0.654818i
\(29\) −1.73394 5.33652i −0.321985 0.990967i −0.972783 0.231716i \(-0.925566\pi\)
0.650799 0.759250i \(-0.274434\pi\)
\(30\) −1.39123 1.03173i −0.254003 0.188368i
\(31\) −4.35158 3.47329i −0.781566 0.623822i
\(32\) 1.00000i 0.176777i
\(33\) −0.478925 + 1.42635i −0.0833701 + 0.248295i
\(34\) −1.90268 + 1.71318i −0.326308 + 0.293809i
\(35\) −2.74059 3.77210i −0.463245 0.637602i
\(36\) −2.05063 + 2.18973i −0.341771 + 0.364956i
\(37\) −6.74761 3.89573i −1.10930 0.640454i −0.170652 0.985331i \(-0.554587\pi\)
−0.938648 + 0.344877i \(0.887921\pi\)
\(38\) 6.99449 0.735150i 1.13466 0.119257i
\(39\) −2.02345 + 0.635643i −0.324012 + 0.101784i
\(40\) −0.104528 + 0.994522i −0.0165274 + 0.157248i
\(41\) 3.65338 + 3.28952i 0.570563 + 0.513737i 0.903144 0.429338i \(-0.141253\pi\)
−0.332581 + 0.943075i \(0.607920\pi\)
\(42\) −7.03303 + 3.96930i −1.08522 + 0.612476i
\(43\) 2.00531 9.43422i 0.305806 1.43871i −0.509897 0.860235i \(-0.670317\pi\)
0.815704 0.578470i \(-0.196350\pi\)
\(44\) 0.849700 0.180609i 0.128097 0.0272279i
\(45\) −2.26828 + 1.96339i −0.338136 + 0.292685i
\(46\) 3.63333 + 1.18054i 0.535705 + 0.174061i
\(47\) 8.17122 + 2.65499i 1.19189 + 0.387270i 0.836773 0.547550i \(-0.184439\pi\)
0.355122 + 0.934820i \(0.384439\pi\)
\(48\) 1.69060 + 0.376671i 0.244017 + 0.0543677i
\(49\) −14.4175 + 3.06454i −2.05964 + 0.437791i
\(50\) −0.207912 + 0.978148i −0.0294032 + 0.138331i
\(51\) 2.17962 + 3.86198i 0.305208 + 0.540785i
\(52\) 0.910001 + 0.819369i 0.126194 + 0.113626i
\(53\) 0.0119241 0.113450i 0.00163789 0.0155835i −0.993672 0.112317i \(-0.964173\pi\)
0.995310 + 0.0967335i \(0.0308395\pi\)
\(54\) 2.92955 + 4.29159i 0.398661 + 0.584012i
\(55\) 0.863924 0.0908021i 0.116491 0.0122437i
\(56\) 4.03791 + 2.33129i 0.539588 + 0.311531i
\(57\) 1.39178 12.1018i 0.184345 1.60292i
\(58\) 3.29815 + 4.53951i 0.433068 + 0.596067i
\(59\) 7.95569 7.16334i 1.03574 0.932587i 0.0379690 0.999279i \(-0.487911\pi\)
0.997774 + 0.0666921i \(0.0212445\pi\)
\(60\) 1.64196 + 0.551323i 0.211977 + 0.0711755i
\(61\) 9.88995i 1.26628i 0.774038 + 0.633139i \(0.218234\pi\)
−0.774038 + 0.633139i \(0.781766\pi\)
\(62\) 5.21190 + 1.95859i 0.661912 + 0.248741i
\(63\) 4.06134 + 13.3851i 0.511681 + 1.68637i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) 0.819369 + 0.910001i 0.101630 + 0.112872i
\(66\) 0.0147194 1.50453i 0.00181184 0.185195i
\(67\) −0.378654 0.655849i −0.0462600 0.0801247i 0.841968 0.539527i \(-0.181397\pi\)
−0.888228 + 0.459402i \(0.848064\pi\)
\(68\) 1.28016 2.21730i 0.155242 0.268887i
\(69\) 3.36438 5.69782i 0.405024 0.685937i
\(70\) 3.77210 + 2.74059i 0.450853 + 0.327564i
\(71\) −2.04879 0.215337i −0.243147 0.0255558i −0.0178290 0.999841i \(-0.505675\pi\)
−0.225318 + 0.974285i \(0.572342\pi\)
\(72\) 1.27360 2.71624i 0.150095 0.320112i
\(73\) 5.12221 11.5047i 0.599510 1.34652i −0.317728 0.948182i \(-0.602920\pi\)
0.917238 0.398339i \(-0.130413\pi\)
\(74\) 7.62120 + 1.61994i 0.885947 + 0.188314i
\(75\) 1.57534 + 0.719934i 0.181905 + 0.0831309i
\(76\) −6.42498 + 2.86059i −0.736996 + 0.328132i
\(77\) 1.25161 3.85206i 0.142634 0.438983i
\(78\) 1.72799 1.22981i 0.195657 0.139249i
\(79\) 4.61682 + 10.3696i 0.519433 + 1.16667i 0.962773 + 0.270312i \(0.0871269\pi\)
−0.443340 + 0.896354i \(0.646206\pi\)
\(80\) −0.207912 0.978148i −0.0232452 0.109360i
\(81\) 8.35883 3.33617i 0.928759 0.370685i
\(82\) −4.49109 1.99956i −0.495958 0.220815i
\(83\) −2.31676 + 2.57302i −0.254297 + 0.282426i −0.856754 0.515726i \(-0.827522\pi\)
0.602456 + 0.798152i \(0.294189\pi\)
\(84\) 5.46223 5.94835i 0.595978 0.649018i
\(85\) 1.50491 2.07134i 0.163231 0.224668i
\(86\) 1.00818 + 9.59215i 0.108714 + 1.03435i
\(87\) 8.91681 3.86594i 0.955982 0.414472i
\(88\) −0.752301 + 0.434341i −0.0801956 + 0.0463009i
\(89\) −5.10306 + 3.70759i −0.540923 + 0.393004i −0.824428 0.565967i \(-0.808503\pi\)
0.283505 + 0.958971i \(0.408503\pi\)
\(90\) 1.55054 2.56823i 0.163442 0.270715i
\(91\) 5.43001 1.76432i 0.569220 0.184951i
\(92\) −3.82031 −0.398294
\(93\) 5.27435 8.07349i 0.546925 0.837182i
\(94\) −8.59173 −0.886169
\(95\) −6.68880 + 2.17332i −0.686256 + 0.222978i
\(96\) −1.72425 + 0.164188i −0.175981 + 0.0167574i
\(97\) 9.19646 6.68162i 0.933759 0.678415i −0.0131515 0.999914i \(-0.504186\pi\)
0.946910 + 0.321498i \(0.104186\pi\)
\(98\) 12.7649 7.36980i 1.28945 0.744463i
\(99\) −2.53801 0.591597i −0.255080 0.0594578i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) −10.6891 + 14.7123i −1.06361 + 1.46393i −0.187219 + 0.982318i \(0.559947\pi\)
−0.876386 + 0.481609i \(0.840053\pi\)
\(102\) −3.26636 2.99942i −0.323418 0.296987i
\(103\) 5.94748 6.60535i 0.586023 0.650844i −0.375094 0.926987i \(-0.622390\pi\)
0.961117 + 0.276143i \(0.0890562\pi\)
\(104\) −1.11866 0.498060i −0.109694 0.0488388i
\(105\) 6.05408 5.34481i 0.590818 0.521600i
\(106\) 0.0237175 + 0.111582i 0.00230364 + 0.0108378i
\(107\) −1.81808 4.08348i −0.175761 0.394765i 0.804087 0.594512i \(-0.202655\pi\)
−0.979848 + 0.199747i \(0.935988\pi\)
\(108\) −4.11234 3.17627i −0.395710 0.305636i
\(109\) −3.08864 + 9.50587i −0.295838 + 0.910497i 0.687100 + 0.726563i \(0.258883\pi\)
−0.982939 + 0.183934i \(0.941117\pi\)
\(110\) −0.793581 + 0.353325i −0.0756650 + 0.0336882i
\(111\) 5.60934 12.2742i 0.532415 1.16502i
\(112\) −4.56069 0.969404i −0.430944 0.0916001i
\(113\) 5.40555 12.1411i 0.508512 1.14214i −0.458798 0.888540i \(-0.651720\pi\)
0.967310 0.253596i \(-0.0816133\pi\)
\(114\) 2.41600 + 11.9396i 0.226279 + 1.11824i
\(115\) −3.79938 0.399331i −0.354294 0.0372378i
\(116\) −4.53951 3.29815i −0.421483 0.306226i
\(117\) −1.42823 3.38458i −0.132040 0.312904i
\(118\) −5.35272 + 9.27118i −0.492758 + 0.853481i
\(119\) −5.96883 10.3383i −0.547162 0.947712i
\(120\) −1.73197 0.0169445i −0.158106 0.00154682i
\(121\) −6.85550 7.61381i −0.623228 0.692164i
\(122\) −3.05616 9.40590i −0.276692 0.851571i
\(123\) −5.07212 + 6.83945i −0.457337 + 0.616693i
\(124\) −5.56205 0.252161i −0.499487 0.0226447i
\(125\) 1.00000i 0.0894427i
\(126\) −7.99880 11.4750i −0.712590 1.02227i
\(127\) 10.7113 9.64453i 0.950477 0.855814i −0.0391848 0.999232i \(-0.512476\pi\)
0.989662 + 0.143418i \(0.0458094\pi\)
\(128\) 0.587785 + 0.809017i 0.0519534 + 0.0715077i
\(129\) 16.5962 + 1.90866i 1.46122 + 0.168048i
\(130\) −1.06047 0.612264i −0.0930095 0.0536991i
\(131\) −3.50667 + 0.368566i −0.306379 + 0.0322017i −0.256470 0.966552i \(-0.582560\pi\)
−0.0499085 + 0.998754i \(0.515893\pi\)
\(132\) 0.450927 + 1.43544i 0.0392481 + 0.124939i
\(133\) −3.42769 + 32.6123i −0.297219 + 2.82785i
\(134\) 0.562790 + 0.506739i 0.0486177 + 0.0437755i
\(135\) −3.75780 3.58872i −0.323420 0.308868i
\(136\) −0.532319 + 2.50436i −0.0456460 + 0.214748i
\(137\) −11.0103 + 2.34032i −0.940677 + 0.199947i −0.652636 0.757671i \(-0.726337\pi\)
−0.288040 + 0.957618i \(0.593004\pi\)
\(138\) −1.43900 + 6.45860i −0.122496 + 0.549792i
\(139\) −1.17562 0.381982i −0.0997147 0.0323993i 0.258735 0.965948i \(-0.416694\pi\)
−0.358449 + 0.933549i \(0.616694\pi\)
\(140\) −4.43437 1.44082i −0.374773 0.121771i
\(141\) −3.23625 + 14.5252i −0.272542 + 1.22324i
\(142\) 2.01506 0.428314i 0.169100 0.0359434i
\(143\) −0.221161 + 1.04048i −0.0184944 + 0.0870094i
\(144\) −0.371899 + 2.97686i −0.0309916 + 0.248072i
\(145\) −4.16990 3.75459i −0.346291 0.311802i
\(146\) −1.31637 + 12.5245i −0.108944 + 1.03653i
\(147\) −7.65122 24.3563i −0.631062 2.00887i
\(148\) −7.74878 + 0.814430i −0.636946 + 0.0669457i
\(149\) 19.6833 + 11.3641i 1.61252 + 0.930987i 0.988785 + 0.149348i \(0.0477174\pi\)
0.623731 + 0.781639i \(0.285616\pi\)
\(150\) −1.72071 0.197892i −0.140495 0.0161578i
\(151\) −8.07277 11.1112i −0.656952 0.904217i 0.342423 0.939546i \(-0.388752\pi\)
−0.999376 + 0.0353283i \(0.988752\pi\)
\(152\) 5.22655 4.70601i 0.423929 0.381707i
\(153\) −6.30115 + 4.39230i −0.509418 + 0.355097i
\(154\) 4.05030i 0.326382i
\(155\) −5.50522 0.832172i −0.442190 0.0668417i
\(156\) −1.26339 + 1.70360i −0.101152 + 0.136397i
\(157\) 2.73678 + 8.42296i 0.218419 + 0.672225i 0.998893 + 0.0470368i \(0.0149778\pi\)
−0.780474 + 0.625188i \(0.785022\pi\)
\(158\) −7.59523 8.43535i −0.604244 0.671081i
\(159\) 0.197574 + 0.00193294i 0.0156686 + 0.000153292i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) −8.90623 + 15.4260i −0.701909 + 1.21574i
\(162\) −6.91878 + 5.75590i −0.543591 + 0.452226i
\(163\) 4.80008 + 3.48746i 0.375971 + 0.273159i 0.759683 0.650294i \(-0.225354\pi\)
−0.383711 + 0.923453i \(0.625354\pi\)
\(164\) 4.88918 + 0.513874i 0.381781 + 0.0401268i
\(165\) 0.298412 + 1.47471i 0.0232313 + 0.114806i
\(166\) 1.40826 3.16301i 0.109302 0.245497i
\(167\) 4.33774 + 0.922016i 0.335665 + 0.0713477i 0.372661 0.927968i \(-0.378446\pi\)
−0.0369960 + 0.999315i \(0.511779\pi\)
\(168\) −3.35675 + 7.34514i −0.258979 + 0.566690i
\(169\) 10.5063 4.67769i 0.808174 0.359822i
\(170\) −0.791180 + 2.43500i −0.0606808 + 0.186756i
\(171\) 21.0950 + 0.412802i 1.61318 + 0.0315677i
\(172\) −3.92297 8.81114i −0.299124 0.671843i
\(173\) 3.16559 + 14.8929i 0.240675 + 1.13229i 0.917993 + 0.396597i \(0.129809\pi\)
−0.677317 + 0.735691i \(0.736858\pi\)
\(174\) −7.28574 + 6.43217i −0.552331 + 0.487622i
\(175\) −4.25947 1.89644i −0.321986 0.143357i
\(176\) 0.581262 0.645557i 0.0438143 0.0486607i
\(177\) 13.6576 + 12.5415i 1.02657 + 0.942675i
\(178\) 3.70759 5.10306i 0.277896 0.382491i
\(179\) −0.392979 3.73894i −0.0293726 0.279462i −0.999343 0.0362392i \(-0.988462\pi\)
0.969971 0.243222i \(-0.0782045\pi\)
\(180\) −0.681028 + 2.92168i −0.0507608 + 0.217769i
\(181\) −11.8062 + 6.81633i −0.877550 + 0.506653i −0.869850 0.493317i \(-0.835784\pi\)
−0.00769990 + 0.999970i \(0.502451\pi\)
\(182\) −4.61904 + 3.35593i −0.342386 + 0.248758i
\(183\) −17.0528 + 1.62381i −1.26058 + 0.120036i
\(184\) 3.63333 1.18054i 0.267852 0.0870305i
\(185\) −7.79146 −0.572840
\(186\) −2.52136 + 9.30821i −0.184875 + 0.682511i
\(187\) 2.22410 0.162642
\(188\) 8.17122 2.65499i 0.595947 0.193635i
\(189\) −22.4125 + 9.20046i −1.63027 + 0.669235i
\(190\) 5.68983 4.13390i 0.412784 0.299905i
\(191\) −2.83469 + 1.63661i −0.205111 + 0.118421i −0.599037 0.800721i \(-0.704450\pi\)
0.393926 + 0.919142i \(0.371117\pi\)
\(192\) 1.58912 0.688975i 0.114685 0.0497225i
\(193\) −0.610091 5.80463i −0.0439153 0.417826i −0.994289 0.106717i \(-0.965966\pi\)
0.950374 0.311109i \(-0.100701\pi\)
\(194\) −6.68162 + 9.19646i −0.479712 + 0.660267i
\(195\) −1.43454 + 1.56221i −0.102730 + 0.111872i
\(196\) −9.86272 + 10.9537i −0.704480 + 0.782405i
\(197\) −1.70722 0.760102i −0.121634 0.0541550i 0.345017 0.938596i \(-0.387873\pi\)
−0.466651 + 0.884441i \(0.654540\pi\)
\(198\) 2.59661 0.221646i 0.184533 0.0157517i
\(199\) −3.43227 16.1476i −0.243307 1.14467i −0.914878 0.403731i \(-0.867713\pi\)
0.671570 0.740941i \(-0.265620\pi\)
\(200\) 0.406737 + 0.913545i 0.0287606 + 0.0645974i
\(201\) 1.06868 0.760578i 0.0753787 0.0536470i
\(202\) 5.61959 17.2953i 0.395393 1.21690i
\(203\) −23.9005 + 10.6412i −1.67749 + 0.746866i
\(204\) 4.03336 + 1.84326i 0.282392 + 0.129054i
\(205\) 4.80868 + 1.02212i 0.335853 + 0.0713878i
\(206\) −3.61523 + 8.11993i −0.251885 + 0.565742i
\(207\) 10.3769 + 4.86553i 0.721242 + 0.338178i
\(208\) 1.21782 + 0.127998i 0.0844406 + 0.00887506i
\(209\) −4.94266 3.59105i −0.341891 0.248398i
\(210\) −4.10614 + 6.95403i −0.283350 + 0.479873i
\(211\) 3.58995 6.21798i 0.247143 0.428064i −0.715589 0.698521i \(-0.753842\pi\)
0.962732 + 0.270458i \(0.0871750\pi\)
\(212\) −0.0570374 0.0987916i −0.00391734 0.00678503i
\(213\) 0.0349071 3.56799i 0.00239180 0.244475i
\(214\) 2.99097 + 3.32180i 0.204458 + 0.227074i
\(215\) −2.98047 9.17293i −0.203266 0.625589i
\(216\) 4.89259 + 1.75003i 0.332898 + 0.119074i
\(217\) −13.9849 + 21.8712i −0.949360 + 1.48471i
\(218\) 9.99506i 0.676951i
\(219\) 20.6780 + 6.94305i 1.39729 + 0.469168i
\(220\) 0.645557 0.581262i 0.0435235 0.0391887i
\(221\) 1.84281 + 2.53641i 0.123961 + 0.170617i
\(222\) −1.54187 + 13.4068i −0.103483 + 0.899808i
\(223\) 5.94134 + 3.43023i 0.397861 + 0.229705i 0.685561 0.728015i \(-0.259557\pi\)
−0.287699 + 0.957721i \(0.592890\pi\)
\(224\) 4.63703 0.487372i 0.309825 0.0325639i
\(225\) −0.982696 + 2.83449i −0.0655130 + 0.188966i
\(226\) −1.38919 + 13.2173i −0.0924075 + 0.879199i
\(227\) −19.7967 17.8250i −1.31395 1.18309i −0.969724 0.244204i \(-0.921473\pi\)
−0.344230 0.938885i \(-0.611860\pi\)
\(228\) −5.98727 10.6086i −0.396517 0.702572i
\(229\) 3.02261 14.2203i 0.199740 0.939702i −0.758042 0.652206i \(-0.773844\pi\)
0.957782 0.287496i \(-0.0928228\pi\)
\(230\) 3.73682 0.794286i 0.246399 0.0523737i
\(231\) 6.84742 + 1.52563i 0.450527 + 0.100379i
\(232\) 5.33652 + 1.73394i 0.350360 + 0.113839i
\(233\) 21.1716 + 6.87905i 1.38699 + 0.450662i 0.904962 0.425492i \(-0.139899\pi\)
0.482032 + 0.876154i \(0.339899\pi\)
\(234\) 2.40422 + 2.77757i 0.157169 + 0.181576i
\(235\) 8.40398 1.78632i 0.548215 0.116527i
\(236\) 2.22579 10.4715i 0.144886 0.681636i
\(237\) −17.1217 + 9.66312i −1.11217 + 0.627687i
\(238\) 8.87141 + 7.98785i 0.575048 + 0.517776i
\(239\) −2.73910 + 26.0608i −0.177178 + 1.68573i 0.439284 + 0.898348i \(0.355232\pi\)
−0.616461 + 0.787385i \(0.711434\pi\)
\(240\) 1.65244 0.519092i 0.106664 0.0335073i
\(241\) 26.1249 2.74583i 1.68285 0.176875i 0.785703 0.618604i \(-0.212302\pi\)
0.897148 + 0.441730i \(0.145635\pi\)
\(242\) 8.87277 + 5.12270i 0.570363 + 0.329299i
\(243\) 7.12481 + 13.8650i 0.457057 + 0.889438i
\(244\) 5.81317 + 8.00114i 0.372150 + 0.512221i
\(245\) −10.9537 + 9.86272i −0.699804 + 0.630106i
\(246\) 2.71036 8.07208i 0.172807 0.514657i
\(247\) 8.61212i 0.547976i
\(248\) 5.36775 1.47895i 0.340852 0.0939134i
\(249\) −4.81692 3.57222i −0.305260 0.226380i
\(250\) 0.309017 + 0.951057i 0.0195440 + 0.0601501i
\(251\) −15.7438 17.4853i −0.993742 1.10366i −0.994613 0.103662i \(-0.966944\pi\)
0.000870709 1.00000i \(-0.499723\pi\)
\(252\) 11.1533 + 8.44161i 0.702591 + 0.531771i
\(253\) −1.65932 2.87402i −0.104320 0.180688i
\(254\) −7.20676 + 12.4825i −0.452192 + 0.783220i
\(255\) 3.81860 + 2.25476i 0.239130 + 0.141199i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −13.2187 1.38935i −0.824563 0.0866650i −0.317158 0.948373i \(-0.602729\pi\)
−0.507405 + 0.861708i \(0.669395\pi\)
\(258\) −16.3737 + 3.31327i −1.01939 + 0.206275i
\(259\) −14.7760 + 33.1875i −0.918139 + 2.06217i
\(260\) 1.19777 + 0.254594i 0.0742824 + 0.0157892i
\(261\) 8.12989 + 14.7401i 0.503227 + 0.912388i
\(262\) 3.22115 1.43415i 0.199003 0.0886018i
\(263\) −4.69372 + 14.4458i −0.289427 + 0.890766i 0.695609 + 0.718420i \(0.255135\pi\)
−0.985037 + 0.172345i \(0.944865\pi\)
\(264\) −0.872433 1.22584i −0.0536945 0.0754454i
\(265\) −0.0463984 0.104212i −0.00285023 0.00640172i
\(266\) −6.81783 32.0754i −0.418028 1.96667i
\(267\) −7.23068 8.19022i −0.442510 0.501233i
\(268\) −0.691836 0.308025i −0.0422606 0.0188156i
\(269\) 0.600537 0.666964i 0.0366154 0.0406655i −0.724559 0.689213i \(-0.757956\pi\)
0.761174 + 0.648547i \(0.224623\pi\)
\(270\) 4.68286 + 2.25185i 0.284990 + 0.137043i
\(271\) −7.36133 + 10.1320i −0.447169 + 0.615475i −0.971786 0.235863i \(-0.924208\pi\)
0.524618 + 0.851338i \(0.324208\pi\)
\(272\) −0.267626 2.54629i −0.0162272 0.154391i
\(273\) 3.93367 + 9.07302i 0.238077 + 0.549124i
\(274\) 9.74826 5.62816i 0.588914 0.340010i
\(275\) 0.702779 0.510599i 0.0423792 0.0307903i
\(276\) −0.627249 6.58717i −0.0377560 0.396501i
\(277\) −13.1497 + 4.27259i −0.790088 + 0.256715i −0.676142 0.736772i \(-0.736349\pi\)
−0.113946 + 0.993487i \(0.536349\pi\)
\(278\) 1.23612 0.0741375
\(279\) 14.7867 + 7.76874i 0.885257 + 0.465102i
\(280\) 4.66258 0.278642
\(281\) 4.54544 1.47690i 0.271158 0.0881047i −0.170282 0.985395i \(-0.554468\pi\)
0.441440 + 0.897291i \(0.354468\pi\)
\(282\) −1.41066 14.8143i −0.0840036 0.882179i
\(283\) 0.129955 0.0944175i 0.00772500 0.00561254i −0.583916 0.811814i \(-0.698480\pi\)
0.591641 + 0.806202i \(0.298480\pi\)
\(284\) −1.78408 + 1.03004i −0.105866 + 0.0611216i
\(285\) −4.84557 11.1763i −0.287027 0.662029i
\(286\) −0.111190 1.05790i −0.00657478 0.0625548i
\(287\) 13.4731 18.5441i 0.795290 1.09462i
\(288\) −0.566203 2.94608i −0.0333639 0.173600i
\(289\) −6.98893 + 7.76199i −0.411114 + 0.456588i
\(290\) 5.12604 + 2.28226i 0.301011 + 0.134019i
\(291\) 13.0307 + 14.7600i 0.763875 + 0.865244i
\(292\) −2.61832 12.3182i −0.153226 0.720871i
\(293\) 9.18876 + 20.6383i 0.536813 + 1.20570i 0.954800 + 0.297249i \(0.0960690\pi\)
−0.417987 + 0.908453i \(0.637264\pi\)
\(294\) 14.8032 + 20.7998i 0.863342 + 1.21307i
\(295\) 3.30816 10.1815i 0.192609 0.592788i
\(296\) 7.11786 3.16907i 0.413717 0.184199i
\(297\) 0.603351 4.47330i 0.0350100 0.259567i
\(298\) −22.2316 4.72547i −1.28784 0.273739i
\(299\) 1.90274 4.27363i 0.110038 0.247150i
\(300\) 1.69764 0.343522i 0.0980135 0.0198333i
\(301\) −44.7241 4.70070i −2.57786 0.270944i
\(302\) 11.1112 + 8.07277i 0.639378 + 0.464536i
\(303\) −27.1227 16.0151i −1.55816 0.920044i
\(304\) −3.51651 + 6.09077i −0.201686 + 0.349330i
\(305\) 4.94498 + 8.56495i 0.283149 + 0.490428i
\(306\) 4.63546 6.12449i 0.264991 0.350114i
\(307\) −7.95513 8.83507i −0.454023 0.504244i 0.472058 0.881567i \(-0.343511\pi\)
−0.926082 + 0.377323i \(0.876845\pi\)
\(308\) −1.25161 3.85206i −0.0713172 0.219492i
\(309\) 12.3658 + 9.17043i 0.703465 + 0.521688i
\(310\) 5.49293 0.909765i 0.311978 0.0516712i
\(311\) 2.78248i 0.157780i −0.996883 0.0788900i \(-0.974862\pi\)
0.996883 0.0788900i \(-0.0251376\pi\)
\(312\) 0.675110 2.01063i 0.0382206 0.113829i
\(313\) −19.7760 + 17.8064i −1.11781 + 1.00648i −0.117897 + 0.993026i \(0.537615\pi\)
−0.999910 + 0.0134518i \(0.995718\pi\)
\(314\) −5.20567 7.16499i −0.293773 0.404344i
\(315\) 10.2098 + 9.56120i 0.575257 + 0.538713i
\(316\) 9.83016 + 5.67544i 0.552990 + 0.319269i
\(317\) −12.3644 + 1.29955i −0.694453 + 0.0729900i −0.445177 0.895443i \(-0.646859\pi\)
−0.249276 + 0.968432i \(0.580193\pi\)
\(318\) −0.188501 + 0.0592153i −0.0105706 + 0.00332063i
\(319\) 0.509504 4.84761i 0.0285267 0.271414i
\(320\) −0.743145 0.669131i −0.0415431 0.0374055i
\(321\) 6.74244 3.80529i 0.376326 0.212391i
\(322\) 3.70342 17.4232i 0.206384 0.970958i
\(323\) −17.6132 + 3.74381i −0.980027 + 0.208311i
\(324\) 4.80148 7.61221i 0.266749 0.422901i
\(325\) 1.16459 + 0.378400i 0.0646001 + 0.0209898i
\(326\) −5.64283 1.83347i −0.312528 0.101546i
\(327\) −16.8976 3.76485i −0.934441 0.208196i
\(328\) −4.80868 + 1.02212i −0.265515 + 0.0564370i
\(329\) 8.32886 39.1842i 0.459185 2.16029i
\(330\) −0.739518 1.31032i −0.0407091 0.0721308i
\(331\) 1.77779 + 1.60073i 0.0977162 + 0.0879841i 0.716541 0.697545i \(-0.245724\pi\)
−0.618825 + 0.785529i \(0.712391\pi\)
\(332\) −0.361913 + 3.44338i −0.0198626 + 0.188980i
\(333\) 22.0848 + 7.65664i 1.21024 + 0.419581i
\(334\) −4.41036 + 0.463547i −0.241324 + 0.0253642i
\(335\) −0.655849 0.378654i −0.0358328 0.0206881i
\(336\) 0.922685 8.02293i 0.0503366 0.437687i
\(337\) −7.86275 10.8222i −0.428311 0.589520i 0.539253 0.842144i \(-0.318707\pi\)
−0.967565 + 0.252624i \(0.918707\pi\)
\(338\) −8.54656 + 7.69536i −0.464872 + 0.418572i
\(339\) 21.8218 + 7.32711i 1.18520 + 0.397954i
\(340\) 2.56031i 0.138853i
\(341\) −2.22613 4.29386i −0.120552 0.232526i
\(342\) −20.1901 + 6.12612i −1.09176 + 0.331263i
\(343\) 11.1513 + 34.3203i 0.602116 + 1.85312i
\(344\) 6.45376 + 7.16762i 0.347963 + 0.386452i
\(345\) 0.0647334 6.61665i 0.00348513 0.356228i
\(346\) −7.61282 13.1858i −0.409268 0.708873i
\(347\) −6.93837 + 12.0176i −0.372471 + 0.645139i −0.989945 0.141452i \(-0.954823\pi\)
0.617474 + 0.786592i \(0.288156\pi\)
\(348\) 4.94150 8.36878i 0.264892 0.448614i
\(349\) 4.88477 + 3.54899i 0.261476 + 0.189973i 0.710797 0.703397i \(-0.248334\pi\)
−0.449322 + 0.893370i \(0.648334\pi\)
\(350\) 4.63703 + 0.487372i 0.247860 + 0.0260511i
\(351\) 5.60136 3.01834i 0.298978 0.161107i
\(352\) −0.353325 + 0.793581i −0.0188323 + 0.0422980i
\(353\) 14.8127 + 3.14853i 0.788399 + 0.167579i 0.584480 0.811408i \(-0.301299\pi\)
0.203919 + 0.978988i \(0.434632\pi\)
\(354\) −16.8647 7.70721i −0.896349 0.409634i
\(355\) −1.88198 + 0.837910i −0.0998849 + 0.0444716i
\(356\) −1.94920 + 5.99901i −0.103307 + 0.317947i
\(357\) 16.8458 11.9892i 0.891576 0.634535i
\(358\) 1.52914 + 3.43451i 0.0808177 + 0.181519i
\(359\) 0.0614367 + 0.289037i 0.00324251 + 0.0152548i 0.979739 0.200278i \(-0.0641845\pi\)
−0.976497 + 0.215533i \(0.930851\pi\)
\(360\) −0.255152 2.98913i −0.0134477 0.157541i
\(361\) 27.8296 + 12.3905i 1.46472 + 0.652134i
\(362\) 9.12202 10.1310i 0.479443 0.532475i
\(363\) 12.0025 13.0707i 0.629969 0.686034i
\(364\) 3.35593 4.61904i 0.175899 0.242104i
\(365\) −1.31637 12.5245i −0.0689021 0.655560i
\(366\) 15.7164 6.81393i 0.821507 0.356170i
\(367\) −4.12072 + 2.37910i −0.215100 + 0.124188i −0.603679 0.797227i \(-0.706299\pi\)
0.388580 + 0.921415i \(0.372966\pi\)
\(368\) −3.09069 + 2.24552i −0.161113 + 0.117056i
\(369\) −12.6257 7.62265i −0.657268 0.396819i
\(370\) 7.41012 2.40769i 0.385234 0.125170i
\(371\) −0.531882 −0.0276139
\(372\) −0.478435 9.63178i −0.0248057 0.499384i
\(373\) −2.15281 −0.111468 −0.0557341 0.998446i \(-0.517750\pi\)
−0.0557341 + 0.998446i \(0.517750\pi\)
\(374\) −2.11525 + 0.687285i −0.109377 + 0.0355387i
\(375\) 1.72425 0.164188i 0.0890399 0.00847864i
\(376\) −6.95085 + 5.05009i −0.358463 + 0.260439i
\(377\) 5.95046 3.43550i 0.306464 0.176937i
\(378\) 18.4725 15.6760i 0.950122 0.806287i
\(379\) −1.54016 14.6537i −0.0791128 0.752708i −0.960117 0.279599i \(-0.909798\pi\)
0.881004 0.473109i \(-0.156868\pi\)
\(380\) −4.13390 + 5.68983i −0.212065 + 0.291882i
\(381\) 18.3883 + 16.8855i 0.942060 + 0.865071i
\(382\) 2.19021 2.43247i 0.112061 0.124456i
\(383\) 24.3409 + 10.8373i 1.24376 + 0.553758i 0.919828 0.392322i \(-0.128328\pi\)
0.323933 + 0.946080i \(0.394995\pi\)
\(384\) −1.29844 + 1.14632i −0.0662608 + 0.0584979i
\(385\) −0.842105 3.96179i −0.0429176 0.201912i
\(386\) 2.37396 + 5.33200i 0.120831 + 0.271392i
\(387\) −0.566111 + 28.9294i −0.0287770 + 1.47057i
\(388\) 3.51273 10.8111i 0.178332 0.548850i
\(389\) −1.52527 + 0.679094i −0.0773343 + 0.0344314i −0.445039 0.895511i \(-0.646810\pi\)
0.367705 + 0.929942i \(0.380144\pi\)
\(390\) 0.881579 1.92905i 0.0446405 0.0976810i
\(391\) −9.56744 2.03362i −0.483846 0.102845i
\(392\) 5.99514 13.4653i 0.302800 0.680101i
\(393\) −1.21125 5.98586i −0.0610996 0.301947i
\(394\) 1.85854 + 0.195341i 0.0936321 + 0.00984113i
\(395\) 9.18306 + 6.67188i 0.462050 + 0.335699i
\(396\) −2.40103 + 1.01319i −0.120656 + 0.0509149i
\(397\) −12.5616 + 21.7573i −0.630447 + 1.09197i 0.357013 + 0.934099i \(0.383795\pi\)
−0.987460 + 0.157867i \(0.949538\pi\)
\(398\) 8.25416 + 14.2966i 0.413744 + 0.716625i
\(399\) −56.7946 0.555645i −2.84329 0.0278170i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) −11.1442 34.2984i −0.556516 1.71278i −0.691906 0.721987i \(-0.743229\pi\)
0.135390 0.990792i \(-0.456771\pi\)
\(402\) −0.781341 + 1.05359i −0.0389698 + 0.0525484i
\(403\) 3.05232 6.09646i 0.152047 0.303686i
\(404\) 18.1854i 0.904757i
\(405\) 5.57087 7.06862i 0.276819 0.351242i
\(406\) 19.4425 17.5061i 0.964913 0.868811i
\(407\) −3.97831 5.47568i −0.197198 0.271419i
\(408\) −4.40555 0.506665i −0.218107 0.0250836i
\(409\) 16.8910 + 9.75203i 0.835207 + 0.482207i 0.855632 0.517584i \(-0.173169\pi\)
−0.0204250 + 0.999791i \(0.506502\pi\)
\(410\) −4.88918 + 0.513874i −0.241459 + 0.0253784i
\(411\) −5.84307 18.6003i −0.288217 0.917487i
\(412\) 0.929088 8.83968i 0.0457729 0.435500i
\(413\) −37.0940 33.3996i −1.82528 1.64349i
\(414\) −11.3725 1.42077i −0.558929 0.0698269i
\(415\) −0.719862 + 3.38668i −0.0353366 + 0.166246i
\(416\) −1.19777 + 0.254594i −0.0587254 + 0.0124825i
\(417\) 0.465610 2.08978i 0.0228010 0.102337i
\(418\) 5.81044 + 1.88793i 0.284198 + 0.0923415i
\(419\) 34.1565 + 11.0981i 1.66866 + 0.542179i 0.982658 0.185425i \(-0.0593663\pi\)
0.685997 + 0.727604i \(0.259366\pi\)
\(420\) 1.75626 7.88254i 0.0856965 0.384628i
\(421\) 37.1038 7.88667i 1.80833 0.384373i 0.824845 0.565359i \(-0.191262\pi\)
0.983486 + 0.180986i \(0.0579290\pi\)
\(422\) −1.49279 + 7.02301i −0.0726677 + 0.341875i
\(423\) −25.5764 3.19525i −1.24357 0.155358i
\(424\) 0.0847740 + 0.0763309i 0.00411699 + 0.00370696i
\(425\) 0.267626 2.54629i 0.0129818 0.123513i
\(426\) 1.06937 + 3.40415i 0.0518112 + 0.164931i
\(427\) 45.8600 4.82008i 2.21932 0.233260i
\(428\) −3.87107 2.23496i −0.187115 0.108031i
\(429\) −1.83036 0.210502i −0.0883707 0.0101632i
\(430\) 5.66918 + 7.80296i 0.273392 + 0.376292i
\(431\) 12.3383 11.1094i 0.594314 0.535123i −0.316151 0.948709i \(-0.602391\pi\)
0.910465 + 0.413586i \(0.135724\pi\)
\(432\) −5.19391 0.152481i −0.249892 0.00733627i
\(433\) 14.1567i 0.680329i −0.940366 0.340165i \(-0.889517\pi\)
0.940366 0.340165i \(-0.110483\pi\)
\(434\) 6.54190 25.1223i 0.314021 1.20591i
\(435\) 5.78921 7.80641i 0.277571 0.374289i
\(436\) 3.08864 + 9.50587i 0.147919 + 0.455249i
\(437\) 17.9784 + 19.9670i 0.860023 + 0.955152i
\(438\) −21.8114 0.213390i −1.04219 0.0101962i
\(439\) −4.54416 7.87071i −0.216881 0.375649i 0.736972 0.675923i \(-0.236255\pi\)
−0.953853 + 0.300275i \(0.902922\pi\)
\(440\) −0.434341 + 0.752301i −0.0207064 + 0.0358646i
\(441\) 40.7401 17.1916i 1.94000 0.818649i
\(442\) −2.53641 1.84281i −0.120645 0.0876535i
\(443\) −0.986515 0.103687i −0.0468707 0.00492631i 0.0810641 0.996709i \(-0.474168\pi\)
−0.127935 + 0.991783i \(0.540835\pi\)
\(444\) −2.67654 13.2271i −0.127023 0.627732i
\(445\) −2.56558 + 5.76240i −0.121620 + 0.273164i
\(446\) −6.71055 1.42637i −0.317754 0.0675406i
\(447\) −16.3629 + 35.8048i −0.773937 + 1.69351i
\(448\) −4.25947 + 1.89644i −0.201241 + 0.0895984i
\(449\) 7.25903 22.3410i 0.342575 1.05434i −0.620295 0.784369i \(-0.712987\pi\)
0.962869 0.269968i \(-0.0870131\pi\)
\(450\) 0.0586948 2.99943i 0.00276690 0.141394i
\(451\) 1.73699 + 3.90133i 0.0817915 + 0.183707i
\(452\) −2.76316 12.9996i −0.129968 0.611452i
\(453\) 17.8331 15.7438i 0.837870 0.739709i
\(454\) 24.3360 + 10.8351i 1.14215 + 0.508516i
\(455\) 3.82037 4.24295i 0.179102 0.198913i
\(456\) 8.97247 + 8.23921i 0.420175 + 0.385836i
\(457\) 0.376629 0.518385i 0.0176179 0.0242490i −0.800117 0.599844i \(-0.795229\pi\)
0.817735 + 0.575595i \(0.195229\pi\)
\(458\) 1.51963 + 14.4583i 0.0710076 + 0.675593i
\(459\) −8.60801 10.1436i −0.401787 0.473463i
\(460\) −3.30848 + 1.91015i −0.154259 + 0.0890613i
\(461\) −28.4844 + 20.6951i −1.32665 + 0.963868i −0.326827 + 0.945084i \(0.605979\pi\)
−0.999824 + 0.0187836i \(0.994021\pi\)
\(462\) −6.98373 + 0.665011i −0.324913 + 0.0309391i
\(463\) 5.95894 1.93618i 0.276935 0.0899817i −0.167257 0.985913i \(-0.553491\pi\)
0.444192 + 0.895932i \(0.353491\pi\)
\(464\) −5.61115 −0.260491
\(465\) 0.530981 9.62902i 0.0246236 0.446535i
\(466\) −22.2611 −1.03122
\(467\) 29.8707 9.70556i 1.38225 0.449120i 0.478841 0.877902i \(-0.341057\pi\)
0.903408 + 0.428782i \(0.141057\pi\)
\(468\) −3.14487 1.89868i −0.145372 0.0877667i
\(469\) −2.85665 + 2.07548i −0.131908 + 0.0958366i
\(470\) −7.44065 + 4.29586i −0.343212 + 0.198153i
\(471\) −14.0739 + 6.10185i −0.648493 + 0.281159i
\(472\) 1.11902 + 10.6468i 0.0515072 + 0.490058i
\(473\) 4.92472 6.77830i 0.226439 0.311666i
\(474\) 13.2976 14.4811i 0.610780 0.665137i
\(475\) −4.70601 + 5.22655i −0.215926 + 0.239811i
\(476\) −10.9056 4.85548i −0.499857 0.222551i
\(477\) 0.0291064 + 0.340984i 0.00133269 + 0.0156126i
\(478\) −5.44819 25.6317i −0.249195 1.17237i
\(479\) 1.60604 + 3.60724i 0.0733821 + 0.164819i 0.946512 0.322669i \(-0.104580\pi\)
−0.873130 + 0.487488i \(0.837913\pi\)
\(480\) −1.41115 + 1.00432i −0.0644099 + 0.0458406i
\(481\) 2.94829 9.07390i 0.134430 0.413734i
\(482\) −23.9977 + 10.6845i −1.09307 + 0.486664i
\(483\) −28.0607 12.8238i −1.27681 0.583503i
\(484\) −10.0215 2.13014i −0.455523 0.0968244i
\(485\) 4.62356 10.3847i 0.209945 0.471544i
\(486\) −11.0606 10.9847i −0.501719 0.498275i
\(487\) 0.431094 + 0.0453098i 0.0195347 + 0.00205318i 0.114291 0.993447i \(-0.463540\pi\)
−0.0947561 + 0.995501i \(0.530207\pi\)
\(488\) −8.00114 5.81317i −0.362195 0.263150i
\(489\) −5.22514 + 8.84914i −0.236289 + 0.400172i
\(490\) 7.36980 12.7649i 0.332934 0.576658i
\(491\) −20.5882 35.6598i −0.929132 1.60930i −0.784777 0.619778i \(-0.787223\pi\)
−0.144355 0.989526i \(-0.546111\pi\)
\(492\) −0.0833013 + 8.51455i −0.00375551 + 0.383865i
\(493\) −9.61293 10.6762i −0.432945 0.480834i
\(494\) 2.66129 + 8.19061i 0.119737 + 0.368513i
\(495\) −2.49378 + 0.756667i −0.112087 + 0.0340097i
\(496\) −4.64801 + 3.06529i −0.208702 + 0.137636i
\(497\) 9.60527i 0.430855i
\(498\) 5.68504 + 1.90887i 0.254753 + 0.0855385i
\(499\) 3.81835 3.43806i 0.170933 0.153909i −0.579224 0.815168i \(-0.696645\pi\)
0.750157 + 0.661260i \(0.229978\pi\)
\(500\) −0.587785 0.809017i −0.0262866 0.0361803i
\(501\) −0.877580 + 7.63074i −0.0392074 + 0.340916i
\(502\) 20.3765 + 11.7644i 0.909449 + 0.525071i
\(503\) −14.5269 + 1.52684i −0.647724 + 0.0680785i −0.422693 0.906273i \(-0.638915\pi\)
−0.225031 + 0.974352i \(0.572248\pi\)
\(504\) −13.2160 4.58189i −0.588688 0.204094i
\(505\) −1.90089 + 18.0858i −0.0845885 + 0.804806i
\(506\) 2.46623 + 2.22060i 0.109637 + 0.0987177i
\(507\) 9.79051 + 17.3474i 0.434812 + 0.770426i
\(508\) 2.99674 14.0986i 0.132959 0.625522i
\(509\) −6.02541 + 1.28074i −0.267072 + 0.0567678i −0.339501 0.940606i \(-0.610258\pi\)
0.0724293 + 0.997374i \(0.476925\pi\)
\(510\) −4.32846 0.964395i −0.191667 0.0427041i
\(511\) −55.8440 18.1448i −2.47039 0.802680i
\(512\) 0.951057 + 0.309017i 0.0420312 + 0.0136568i
\(513\) 2.75178 + 36.4409i 0.121494 + 1.60890i
\(514\) 13.0011 2.76347i 0.573454 0.121891i
\(515\) 1.84800 8.69414i 0.0814324 0.383109i
\(516\) 14.5485 8.21087i 0.640462 0.361463i
\(517\) 5.54645 + 4.99405i 0.243933 + 0.219638i
\(518\) 3.79734 36.1293i 0.166846 1.58743i
\(519\) −25.1594 + 7.90351i −1.10437 + 0.346926i
\(520\) −1.21782 + 0.127998i −0.0534049 + 0.00561308i
\(521\) 16.4739 + 9.51122i 0.721735 + 0.416694i 0.815391 0.578911i \(-0.196522\pi\)
−0.0936558 + 0.995605i \(0.529855\pi\)
\(522\) −12.2869 11.5064i −0.537784 0.503620i
\(523\) 1.91090 + 2.63012i 0.0835576 + 0.115007i 0.848750 0.528795i \(-0.177356\pi\)
−0.765192 + 0.643802i \(0.777356\pi\)
\(524\) −2.62032 + 2.35934i −0.114469 + 0.103068i
\(525\) 2.57058 7.65578i 0.112189 0.334126i
\(526\) 15.1892i 0.662281i
\(527\) −13.7952 3.59229i −0.600927 0.156483i
\(528\) 1.20854 + 0.896249i 0.0525949 + 0.0390042i
\(529\) −2.59737 7.99388i −0.112929 0.347560i
\(530\) 0.0763309 + 0.0847740i 0.00331560 + 0.00368235i
\(531\) −19.3822 + 25.6083i −0.841117 + 1.11131i
\(532\) 16.3960 + 28.3987i 0.710856 + 1.23124i
\(533\) −3.00996 + 5.21340i −0.130376 + 0.225817i
\(534\) 9.40770 + 5.55495i 0.407111 + 0.240386i
\(535\) −3.61625 2.62736i −0.156344 0.113591i
\(536\) 0.753160 + 0.0791603i 0.0325316 + 0.00341921i
\(537\) 6.38235 1.29148i 0.275419 0.0557317i
\(538\) −0.365041 + 0.819896i −0.0157381 + 0.0353482i
\(539\) −12.5242 2.66211i −0.539457 0.114665i
\(540\) −5.14952 0.694558i −0.221600 0.0298890i
\(541\) 0.493101 0.219543i 0.0212001 0.00943888i −0.396109 0.918203i \(-0.629640\pi\)
0.417309 + 0.908765i \(0.362973\pi\)
\(542\) 3.87008 11.9109i 0.166234 0.511616i
\(543\) −13.6915 19.2377i −0.587559 0.825570i
\(544\) 1.04137 + 2.33896i 0.0446485 + 0.100282i
\(545\) 2.07809 + 9.77665i 0.0890156 + 0.418785i
\(546\) −6.54486 7.41339i −0.280094 0.317264i
\(547\) −35.1596 15.6541i −1.50332 0.669320i −0.520494 0.853865i \(-0.674252\pi\)
−0.982824 + 0.184545i \(0.940919\pi\)
\(548\) −7.53195 + 8.36507i −0.321749 + 0.357338i
\(549\) −5.59973 29.1366i −0.238990 1.24352i
\(550\) −0.510599 + 0.702779i −0.0217720 + 0.0299666i
\(551\) 4.12504 + 39.2471i 0.175732 + 1.67198i
\(552\) 2.63210 + 6.07094i 0.112029 + 0.258396i
\(553\) 45.8339 26.4622i 1.94905 1.12529i
\(554\) 11.1858 8.12695i 0.475239 0.345281i
\(555\) −1.27927 13.4344i −0.0543018 0.570260i
\(556\) −1.17562 + 0.381982i −0.0498574 + 0.0161996i
\(557\) 28.1529 1.19288 0.596439 0.802659i \(-0.296582\pi\)
0.596439 + 0.802659i \(0.296582\pi\)
\(558\) −16.4637 2.81917i −0.696963 0.119345i
\(559\) 11.8106 0.499533
\(560\) −4.43437 + 1.44082i −0.187386 + 0.0608855i
\(561\) 0.365171 + 3.83491i 0.0154175 + 0.161910i
\(562\) −3.86658 + 2.80924i −0.163102 + 0.118501i
\(563\) 31.6236 18.2579i 1.33278 0.769478i 0.347051 0.937846i \(-0.387183\pi\)
0.985724 + 0.168368i \(0.0538496\pi\)
\(564\) 5.91949 + 13.6533i 0.249255 + 0.574908i
\(565\) −1.38919 13.2173i −0.0584436 0.556054i
\(566\) −0.0944175 + 0.129955i −0.00396866 + 0.00546240i
\(567\) −19.5438 37.1342i −0.820761 1.55949i
\(568\) 1.37846 1.53094i 0.0578390 0.0642367i
\(569\) 22.7409 + 10.1249i 0.953348 + 0.424458i 0.823652 0.567096i \(-0.191933\pi\)
0.129696 + 0.991554i \(0.458600\pi\)
\(570\) 8.06209 + 9.13196i 0.337684 + 0.382496i
\(571\) 4.02840 + 18.9522i 0.168583 + 0.793123i 0.978446 + 0.206503i \(0.0662084\pi\)
−0.809862 + 0.586620i \(0.800458\pi\)
\(572\) 0.432656 + 0.971762i 0.0180903 + 0.0406314i
\(573\) −3.28735 4.61901i −0.137331 0.192962i
\(574\) −7.08321 + 21.7999i −0.295647 + 0.909909i
\(575\) −3.49002 + 1.55386i −0.145544 + 0.0648004i
\(576\) 1.44888 + 2.62693i 0.0603701 + 0.109455i
\(577\) 5.27651 + 1.12156i 0.219664 + 0.0466911i 0.316429 0.948616i \(-0.397516\pi\)
−0.0967648 + 0.995307i \(0.530849\pi\)
\(578\) 4.24828 9.54179i 0.176705 0.396886i
\(579\) 9.90847 2.00500i 0.411782 0.0833250i
\(580\) −5.58041 0.586525i −0.231714 0.0243541i
\(581\) 13.0603 + 9.48887i 0.541833 + 0.393665i
\(582\) −16.9540 10.0108i −0.702768 0.414963i
\(583\) 0.0495474 0.0858186i 0.00205204 0.00355424i
\(584\) 6.29672 + 10.9062i 0.260560 + 0.451303i
\(585\) −2.92918 2.21701i −0.121106 0.0916621i
\(586\) −15.1166 16.7887i −0.624461 0.693535i
\(587\) 1.11231 + 3.42333i 0.0459098 + 0.141296i 0.971384 0.237515i \(-0.0763330\pi\)
−0.925474 + 0.378811i \(0.876333\pi\)
\(588\) −20.5062 15.2074i −0.845662 0.627141i
\(589\) 24.8571 + 30.2570i 1.02422 + 1.24672i
\(590\) 10.7054i 0.440736i
\(591\) 1.03030 3.06847i 0.0423809 0.126220i
\(592\) −5.79019 + 5.21351i −0.237975 + 0.214274i
\(593\) −2.48623 3.42200i −0.102097 0.140525i 0.754911 0.655827i \(-0.227680\pi\)
−0.857009 + 0.515302i \(0.827680\pi\)
\(594\) 0.808506 + 4.44081i 0.0331734 + 0.182209i
\(595\) −10.3383 5.96883i −0.423830 0.244698i
\(596\) 22.6038 2.37575i 0.925887 0.0973146i
\(597\) 27.2789 8.56934i 1.11645 0.350720i
\(598\) −0.488991 + 4.65244i −0.0199963 + 0.190252i
\(599\) −5.23221 4.71111i −0.213782 0.192491i 0.555281 0.831663i \(-0.312611\pi\)
−0.769064 + 0.639172i \(0.779277\pi\)
\(600\) −1.50840 + 0.851310i −0.0615802 + 0.0347546i
\(601\) −3.39396 + 15.9673i −0.138443 + 0.651321i 0.853122 + 0.521711i \(0.174706\pi\)
−0.991565 + 0.129610i \(0.958627\pi\)
\(602\) 43.9878 9.34989i 1.79281 0.381073i
\(603\) 1.48689 + 1.71779i 0.0605509 + 0.0699538i
\(604\) −13.0620 4.24410i −0.531486 0.172690i
\(605\) −9.74395 3.16600i −0.396148 0.128716i
\(606\) 30.7442 + 6.84990i 1.24890 + 0.278258i
\(607\) 5.01573 1.06613i 0.203582 0.0432728i −0.104992 0.994473i \(-0.533482\pi\)
0.308574 + 0.951200i \(0.400148\pi\)
\(608\) 1.46225 6.87933i 0.0593019 0.278994i
\(609\) −22.2723 39.4634i −0.902519 1.59914i
\(610\) −7.34967 6.61767i −0.297579 0.267942i
\(611\) −1.09972 + 10.4632i −0.0444901 + 0.423295i
\(612\) −2.51601 + 7.25717i −0.101704 + 0.293354i
\(613\) 43.8992 4.61399i 1.77307 0.186357i 0.839166 0.543875i \(-0.183043\pi\)
0.933907 + 0.357517i \(0.116377\pi\)
\(614\) 10.2960 + 5.94438i 0.415511 + 0.239896i
\(615\) −0.972858 + 8.45920i −0.0392294 + 0.341108i
\(616\) 2.38071 + 3.27676i 0.0959214 + 0.132024i
\(617\) −20.2178 + 18.2042i −0.813938 + 0.732873i −0.966844 0.255368i \(-0.917804\pi\)
0.152906 + 0.988241i \(0.451137\pi\)
\(618\) −14.5944 4.90036i −0.587072 0.197121i
\(619\) 26.1180i 1.04977i −0.851173 0.524885i \(-0.824108\pi\)
0.851173 0.524885i \(-0.175892\pi\)
\(620\) −4.94296 + 2.56265i −0.198514 + 0.102918i
\(621\) −6.68564 + 18.6912i −0.268285 + 0.750051i
\(622\) 0.859834 + 2.64630i 0.0344762 + 0.106107i
\(623\) 19.6793 + 21.8561i 0.788435 + 0.875646i
\(624\) −0.0207491 + 2.12084i −0.000830627 + 0.0849016i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 13.3056 23.0460i 0.531800 0.921104i
\(627\) 5.38035 9.11199i 0.214870 0.363898i
\(628\) 7.16499 + 5.20567i 0.285914 + 0.207729i
\(629\) −19.8393 2.08520i −0.791045 0.0831422i
\(630\) −12.6647 5.93824i −0.504572 0.236585i
\(631\) 7.18246 16.1321i 0.285929 0.642207i −0.712288 0.701887i \(-0.752341\pi\)
0.998218 + 0.0596794i \(0.0190078\pi\)
\(632\) −11.1028 2.35998i −0.441647 0.0938751i
\(633\) 11.3108 + 5.16906i 0.449564 + 0.205452i
\(634\) 11.3576 5.05675i 0.451070 0.200829i
\(635\) 4.45402 13.7081i 0.176753 0.543988i
\(636\) 0.160977 0.114567i 0.00638314 0.00454288i
\(637\) −7.34121 16.4886i −0.290869 0.653303i
\(638\) 1.01343 + 4.76779i 0.0401219 + 0.188759i
\(639\) 6.15784 0.525633i 0.243601 0.0207937i
\(640\) 0.913545 + 0.406737i 0.0361111 + 0.0160777i
\(641\) −32.0977 + 35.6481i −1.26778 + 1.40802i −0.395908 + 0.918290i \(0.629570\pi\)
−0.871876 + 0.489727i \(0.837097\pi\)
\(642\) −5.23654 + 5.70258i −0.206670 + 0.225063i
\(643\) 12.9807 17.8665i 0.511910 0.704584i −0.472330 0.881422i \(-0.656587\pi\)
0.984240 + 0.176838i \(0.0565868\pi\)
\(644\) 1.86191 + 17.7149i 0.0733695 + 0.698064i
\(645\) 15.3271 6.64516i 0.603503 0.261653i
\(646\) 15.5943 9.00336i 0.613549 0.354233i
\(647\) 14.8380 10.7805i 0.583343 0.423824i −0.256585 0.966522i \(-0.582597\pi\)
0.839928 + 0.542698i \(0.182597\pi\)
\(648\) −2.21418 + 8.72338i −0.0869812 + 0.342687i
\(649\) 8.84447 2.87374i 0.347176 0.112804i
\(650\) −1.22453 −0.0480299
\(651\) −40.0076 20.5226i −1.56802 0.804343i
\(652\) 5.93322 0.232363
\(653\) 28.3984 9.22720i 1.11131 0.361088i 0.304868 0.952395i \(-0.401388\pi\)
0.806447 + 0.591307i \(0.201388\pi\)
\(654\) 17.2340 1.64107i 0.673903 0.0641710i
\(655\) −2.85258 + 2.07252i −0.111460 + 0.0809801i
\(656\) 4.25748 2.45806i 0.166227 0.0959710i
\(657\) −8.57648 + 36.7940i −0.334601 + 1.43547i
\(658\) 4.18737 + 39.8401i 0.163241 + 1.55313i
\(659\) 1.00751 1.38673i 0.0392472 0.0540191i −0.788942 0.614467i \(-0.789371\pi\)
0.828190 + 0.560448i \(0.189371\pi\)
\(660\) 1.10823 + 1.01767i 0.0431380 + 0.0396126i
\(661\) 15.1732 16.8515i 0.590169 0.655449i −0.371894 0.928275i \(-0.621292\pi\)
0.962063 + 0.272826i \(0.0879583\pi\)
\(662\) −2.18543 0.973017i −0.0849392 0.0378174i
\(663\) −4.07084 + 3.59391i −0.158098 + 0.139576i
\(664\) −0.719862 3.38668i −0.0279361 0.131429i
\(665\) 13.3377 + 29.9570i 0.517214 + 1.16168i
\(666\) −23.3699 0.457319i −0.905566 0.0177207i
\(667\) −6.62418 + 20.3871i −0.256489 + 0.789393i
\(668\) 4.05126 1.80373i 0.156748 0.0697886i
\(669\) −4.93909 + 10.8076i −0.190956 + 0.417845i
\(670\) 0.740760 + 0.157453i 0.0286181 + 0.00608295i
\(671\) −3.49437 + 7.84848i −0.134899 + 0.302987i
\(672\) 1.60170 + 7.91539i 0.0617868 + 0.305343i
\(673\) −26.5778 2.79344i −1.02450 0.107679i −0.422652 0.906292i \(-0.638901\pi\)
−0.601845 + 0.798613i \(0.705568\pi\)
\(674\) 10.8222 + 7.86275i 0.416854 + 0.302862i
\(675\) −5.04871 1.22902i −0.194325 0.0473052i
\(676\) 5.75027 9.95975i 0.221164 0.383067i
\(677\) −2.26108 3.91630i −0.0869002 0.150516i 0.819299 0.573366i \(-0.194363\pi\)
−0.906199 + 0.422851i \(0.861029\pi\)
\(678\) −23.0180 0.225194i −0.883999 0.00864853i
\(679\) −35.4650 39.3878i −1.36102 1.51157i
\(680\) 0.791180 + 2.43500i 0.0303404 + 0.0933781i
\(681\) 27.4845 37.0612i 1.05321 1.42019i
\(682\) 3.44405 + 3.39579i 0.131879 + 0.130032i
\(683\) 46.0641i 1.76260i 0.472562 + 0.881298i \(0.343329\pi\)
−0.472562 + 0.881298i \(0.656671\pi\)
\(684\) 17.3089 12.0654i 0.661821 0.461331i
\(685\) −8.36507 + 7.53195i −0.319613 + 0.287781i
\(686\) −21.2111 29.1946i −0.809844 1.11466i
\(687\) 25.0156 + 2.87694i 0.954404 + 0.109762i
\(688\) −8.35280 4.82249i −0.318448 0.183856i
\(689\) 0.138922 0.0146013i 0.00529252 0.000556266i
\(690\) 1.98309 + 6.31281i 0.0754950 + 0.240325i
\(691\) −2.98625 + 28.4123i −0.113602 + 1.08085i 0.778072 + 0.628175i \(0.216198\pi\)
−0.891674 + 0.452678i \(0.850469\pi\)
\(692\) 11.3149 + 10.1879i 0.430126 + 0.387287i
\(693\) −1.50630 + 12.0572i −0.0572196 + 0.458014i
\(694\) 2.88514 13.5735i 0.109518 0.515243i
\(695\) −1.20911 + 0.257004i −0.0458641 + 0.00974870i
\(696\) −2.11355 + 9.48619i −0.0801141 + 0.359573i
\(697\) 11.9707 + 3.88953i 0.453424 + 0.147327i
\(698\) −5.74239 1.86581i −0.217353 0.0706221i
\(699\) −8.38510 + 37.6345i −0.317154 + 1.42347i
\(700\) −4.56069 + 0.969404i −0.172378 + 0.0366400i
\(701\) −6.25875 + 29.4451i −0.236390 + 1.11213i 0.686520 + 0.727111i \(0.259137\pi\)
−0.922910 + 0.385016i \(0.874196\pi\)
\(702\) −4.39449 + 4.60153i −0.165859 + 0.173674i
\(703\) 40.7225 + 36.6667i 1.53588 + 1.38291i
\(704\) 0.0908021 0.863924i 0.00342223 0.0325604i
\(705\) 4.45990 + 14.1973i 0.167970 + 0.534700i
\(706\) −15.0606 + 1.58294i −0.566815 + 0.0595746i
\(707\) 73.4309 + 42.3954i 2.76165 + 1.59444i
\(708\) 18.4209 + 2.11852i 0.692301 + 0.0796187i
\(709\) 30.1045 + 41.4352i 1.13060 + 1.55613i 0.786930 + 0.617042i \(0.211669\pi\)
0.343667 + 0.939092i \(0.388331\pi\)
\(710\) 1.53094 1.37846i 0.0574550 0.0517327i
\(711\) −19.4728 27.9355i −0.730288 1.04766i
\(712\) 6.30773i 0.236392i
\(713\) 5.65004 + 20.5064i 0.211596 + 0.767972i
\(714\) −12.3165 + 16.6080i −0.460933 + 0.621541i
\(715\) 0.328709 + 1.01166i 0.0122930 + 0.0378341i
\(716\) −2.51562 2.79388i −0.0940132 0.104412i
\(717\) −45.3851 0.444021i −1.69494 0.0165823i
\(718\) −0.147747 0.255906i −0.00551388 0.00955031i
\(719\) 8.08232 13.9990i 0.301420 0.522075i −0.675038 0.737783i \(-0.735873\pi\)
0.976458 + 0.215709i \(0.0692061\pi\)
\(720\) 1.16636 + 2.76399i 0.0434675 + 0.103008i
\(721\) −33.5278 24.3594i −1.24864 0.907192i
\(722\) −30.2964 3.18428i −1.12752 0.118507i
\(723\) 9.02391 + 44.5950i 0.335603 + 1.65851i
\(724\) −5.54490 + 12.4540i −0.206075 + 0.462851i
\(725\) −5.48853 1.16662i −0.203839 0.0433273i
\(726\) −7.37601 + 16.1400i −0.273749 + 0.599010i
\(727\) 30.3896 13.5303i 1.12709 0.501812i 0.243417 0.969922i \(-0.421732\pi\)
0.883670 + 0.468110i \(0.155065\pi\)
\(728\) −1.76432 + 5.43001i −0.0653899 + 0.201250i
\(729\) −22.7369 + 14.5614i −0.842106 + 0.539312i
\(730\) 5.12221 + 11.5047i 0.189582 + 0.425807i
\(731\) −5.13421 24.1546i −0.189896 0.893389i
\(732\) −12.8415 + 11.3371i −0.474636 + 0.419030i
\(733\) 20.5968 + 9.17027i 0.760759 + 0.338712i 0.750181 0.661232i \(-0.229966\pi\)
0.0105777 + 0.999944i \(0.496633\pi\)
\(734\) 3.18385 3.53603i 0.117518 0.130517i
\(735\) −18.8043 17.2675i −0.693606 0.636922i
\(736\) 2.24552 3.09069i 0.0827710 0.113924i
\(737\) −0.0687652 0.654257i −0.00253300 0.0240999i
\(738\) 14.3633 + 3.34801i 0.528720 + 0.123242i
\(739\) −29.8678 + 17.2442i −1.09871 + 0.634338i −0.935881 0.352317i \(-0.885394\pi\)
−0.162825 + 0.986655i \(0.552060\pi\)
\(740\) −6.30343 + 4.57971i −0.231719 + 0.168353i
\(741\) 14.8495 1.41401i 0.545508 0.0519449i
\(742\) 0.505850 0.164361i 0.0185703 0.00603387i
\(743\) −12.5487 −0.460368 −0.230184 0.973147i \(-0.573933\pi\)
−0.230184 + 0.973147i \(0.573933\pi\)
\(744\) 3.43140 + 9.01252i 0.125801 + 0.330415i
\(745\) 22.7283 0.832700
\(746\) 2.04744 0.665255i 0.0749622 0.0243567i
\(747\) 5.36852 8.89210i 0.196424 0.325345i
\(748\) 1.79934 1.30729i 0.0657902 0.0477994i
\(749\) −18.0492 + 10.4207i −0.659502 + 0.380764i
\(750\) −1.58912 + 0.688975i −0.0580266 + 0.0251578i
\(751\) 2.15160 + 20.4711i 0.0785129 + 0.747000i 0.960978 + 0.276623i \(0.0892154\pi\)
−0.882466 + 0.470377i \(0.844118\pi\)
\(752\) 5.05009 6.95085i 0.184158 0.253472i
\(753\) 27.5641 30.0172i 1.00449 1.09389i
\(754\) −4.59760 + 5.10615i −0.167435 + 0.185955i
\(755\) −12.5468 5.58621i −0.456626 0.203303i
\(756\) −12.7242 + 20.6171i −0.462775 + 0.749836i
\(757\) 4.76628 + 22.4236i 0.173233 + 0.814999i 0.975839 + 0.218490i \(0.0701130\pi\)
−0.802606 + 0.596510i \(0.796554\pi\)
\(758\) 5.99301 + 13.4605i 0.217676 + 0.488908i
\(759\) 4.68309 3.33296i 0.169986 0.120979i
\(760\) 2.17332 6.68880i 0.0788346 0.242628i
\(761\) 41.4014 18.4331i 1.50080 0.668199i 0.518426 0.855123i \(-0.326518\pi\)
0.982375 + 0.186923i \(0.0598515\pi\)
\(762\) −22.7062 10.3768i −0.822559 0.375912i
\(763\) 45.5843 + 9.68925i 1.65026 + 0.350774i
\(764\) −1.33134 + 2.99023i −0.0481661 + 0.108183i
\(765\) −3.26081 + 6.95442i −0.117895 + 0.251438i
\(766\) −26.4985 2.78510i −0.957428 0.100630i
\(767\) 10.6055 + 7.70533i 0.382942 + 0.278224i
\(768\) 0.880658 1.49146i 0.0317780 0.0538183i
\(769\) 7.46653 12.9324i 0.269250 0.466355i −0.699418 0.714713i \(-0.746558\pi\)
0.968668 + 0.248358i \(0.0798908\pi\)
\(770\) 2.02515 + 3.50766i 0.0729813 + 0.126407i
\(771\) 0.225220 23.0206i 0.00811108 0.829065i
\(772\) −3.90545 4.33744i −0.140560 0.156108i
\(773\) −11.0966 34.1517i −0.399116 1.22835i