Properties

Label 930.2.br.a.11.12
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 11.12
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.a.761.12

$q$-expansion

\(f(q)\) \(=\) \(q+(0.951057 - 0.309017i) q^{2} +(-1.69764 - 0.343522i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-1.72071 + 0.197892i) q^{6} +(-0.487372 - 4.63703i) q^{7} +(0.587785 - 0.809017i) q^{8} +(2.76399 + 1.16636i) q^{9} +O(q^{10})\) \(q+(0.951057 - 0.309017i) q^{2} +(-1.69764 - 0.343522i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-1.72071 + 0.197892i) q^{6} +(-0.487372 - 4.63703i) q^{7} +(0.587785 - 0.809017i) q^{8} +(2.76399 + 1.16636i) q^{9} +(-0.669131 + 0.743145i) q^{10} +(-0.793581 - 0.353325i) q^{11} +(-1.57534 + 0.719934i) q^{12} +(0.254594 + 1.19777i) q^{13} +(-1.89644 - 4.25947i) q^{14} +(1.64196 - 0.551323i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-2.33896 + 1.04137i) q^{17} +(2.98913 + 0.255152i) q^{18} +(-6.87933 - 1.46225i) q^{19} +(-0.406737 + 0.913545i) q^{20} +(-0.765540 + 8.03945i) q^{21} +(-0.863924 - 0.0908021i) q^{22} +(3.09069 + 2.24552i) q^{23} +(-1.27576 + 1.17150i) q^{24} +(0.500000 - 0.866025i) q^{25} +(0.612264 + 1.06047i) q^{26} +(-4.29159 - 2.92955i) 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} +(1.22584 + 0.872433i) q^{33} +(-1.90268 + 1.71318i) q^{34} +(2.74059 + 3.77210i) q^{35} +(2.92168 - 0.681028i) q^{36} +(-6.74761 - 3.89573i) q^{37} +(-6.99449 + 0.735150i) q^{38} +(-0.0207491 - 2.12084i) q^{39} +(-0.104528 + 0.994522i) q^{40} +(-3.65338 - 3.28952i) q^{41} +(1.75626 + 7.88254i) q^{42} +(2.00531 - 9.43422i) q^{43} +(-0.849700 + 0.180609i) q^{44} +(-2.97686 + 0.371899i) q^{45} +(3.63333 + 1.18054i) q^{46} +(-8.17122 - 2.65499i) q^{47} +(-0.851310 + 1.50840i) q^{48} +(-14.4175 + 3.06454i) q^{49} +(0.207912 - 0.978148i) q^{50} +(4.32846 - 0.964395i) q^{51} +(0.910001 + 0.819369i) q^{52} +(-0.0119241 + 0.113450i) q^{53} +(-4.98683 - 1.45999i) q^{54} +(0.863924 - 0.0908021i) q^{55} +(-4.03791 - 2.33129i) q^{56} +(11.1763 + 4.84557i) q^{57} +(3.29815 + 4.53951i) q^{58} +(-7.95569 + 7.16334i) q^{59} +(1.00432 - 1.41115i) 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} +(1.43544 + 0.450927i) q^{66} +(-0.378654 - 0.655849i) q^{67} +(-1.28016 + 2.21730i) q^{68} +(-4.47551 - 4.87381i) q^{69} +(3.77210 + 2.74059i) q^{70} +(2.04879 + 0.215337i) q^{71} +(2.56823 - 1.55054i) q^{72} +(5.12221 - 11.5047i) q^{73} +(-7.62120 - 1.61994i) q^{74} +(-1.14632 + 1.29844i) q^{75} +(-6.42498 + 2.86059i) q^{76} +(-1.25161 + 3.85206i) q^{77} +(-0.675110 - 2.01063i) q^{78} +(4.61682 + 10.3696i) q^{79} +(0.207912 + 0.978148i) q^{80} +(6.27923 + 6.44758i) q^{81} +(-4.49109 - 1.99956i) q^{82} +(2.31676 - 2.57302i) q^{83} +(4.10614 + 6.95403i) q^{84} +(1.50491 - 2.07134i) q^{85} +(-1.00818 - 9.59215i) q^{86} +(-1.11040 - 9.65515i) q^{87} +(-0.752301 + 0.434341i) q^{88} +(5.10306 - 3.70759i) q^{89} +(-2.71624 + 1.27360i) q^{90} +(5.43001 - 1.76432i) q^{91} +3.82031 q^{92} +(6.19427 + 7.39128i) q^{93} -8.59173 q^{94} +(6.68880 - 2.17332i) q^{95} +(-0.343522 + 1.69764i) q^{96} +(9.19646 - 6.68162i) q^{97} +(-12.7649 + 7.36980i) q^{98} +(-1.78134 - 1.90218i) 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
\(3\) −1.69764 0.343522i −0.980135 0.198333i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) −1.72071 + 0.197892i −0.702476 + 0.0807889i
\(7\) −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
\(9\) 2.76399 + 1.16636i 0.921328 + 0.388785i
\(10\) −0.669131 + 0.743145i −0.211598 + 0.235003i
\(11\) −0.793581 0.353325i −0.239274 0.106532i 0.283597 0.958944i \(-0.408472\pi\)
−0.522871 + 0.852412i \(0.675139\pi\)
\(12\) −1.57534 + 0.719934i −0.454761 + 0.207827i
\(13\) 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
\(15\) 1.64196 0.551323i 0.423953 0.142351i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) −2.33896 + 1.04137i −0.567282 + 0.252570i −0.670276 0.742112i \(-0.733824\pi\)
0.102994 + 0.994682i \(0.467158\pi\)
\(18\) 2.98913 + 0.255152i 0.704545 + 0.0601399i
\(19\) −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
\(21\) −0.765540 + 8.03945i −0.167055 + 1.75435i
\(22\) −0.863924 0.0908021i −0.184189 0.0193591i
\(23\) 3.09069 + 2.24552i 0.644454 + 0.468223i 0.861377 0.507965i \(-0.169602\pi\)
−0.216924 + 0.976189i \(0.569602\pi\)
\(24\) −1.27576 + 1.17150i −0.260414 + 0.239132i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 0.612264 + 1.06047i 0.120075 + 0.207976i
\(27\) −4.29159 2.92955i −0.825917 0.563791i
\(28\) −3.11987 3.46497i −0.589600 0.654818i
\(29\) 1.73394 + 5.33652i 0.321985 + 0.990967i 0.972783 + 0.231716i \(0.0744341\pi\)
−0.650799 + 0.759250i \(0.725566\pi\)
\(30\) 1.39123 1.03173i 0.254003 0.188368i
\(31\) −4.35158 3.47329i −0.781566 0.623822i
\(32\) 1.00000i 0.176777i
\(33\) 1.22584 + 0.872433i 0.213392 + 0.151871i
\(34\) −1.90268 + 1.71318i −0.326308 + 0.293809i
\(35\) 2.74059 + 3.77210i 0.463245 + 0.637602i
\(36\) 2.92168 0.681028i 0.486946 0.113505i
\(37\) −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
\(39\) −0.0207491 2.12084i −0.00332251 0.339606i
\(40\) −0.104528 + 0.994522i −0.0165274 + 0.157248i
\(41\) −3.65338 3.28952i −0.570563 0.513737i 0.332581 0.943075i \(-0.392080\pi\)
−0.903144 + 0.429338i \(0.858747\pi\)
\(42\) 1.75626 + 7.88254i 0.270996 + 1.21630i
\(43\) 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
\(45\) −2.97686 + 0.371899i −0.443764 + 0.0554394i
\(46\) 3.63333 + 1.18054i 0.535705 + 0.174061i
\(47\) −8.17122 2.65499i −1.19189 0.387270i −0.355122 0.934820i \(-0.615561\pi\)
−0.836773 + 0.547550i \(0.815561\pi\)
\(48\) −0.851310 + 1.50840i −0.122876 + 0.217719i
\(49\) −14.4175 + 3.06454i −2.05964 + 0.437791i
\(50\) 0.207912 0.978148i 0.0294032 0.138331i
\(51\) 4.32846 0.964395i 0.606106 0.135042i
\(52\) 0.910001 + 0.819369i 0.126194 + 0.113626i
\(53\) −0.0119241 + 0.113450i −0.00163789 + 0.0155835i −0.995310 0.0967335i \(-0.969161\pi\)
0.993672 + 0.112317i \(0.0358272\pi\)
\(54\) −4.98683 1.45999i −0.678621 0.198679i
\(55\) 0.863924 0.0908021i 0.116491 0.0122437i
\(56\) −4.03791 2.33129i −0.539588 0.311531i
\(57\) 11.1763 + 4.84557i 1.48034 + 0.641812i
\(58\) 3.29815 + 4.53951i 0.433068 + 0.596067i
\(59\) −7.95569 + 7.16334i −1.03574 + 0.932587i −0.997774 0.0666921i \(-0.978755\pi\)
−0.0379690 + 0.999279i \(0.512089\pi\)
\(60\) 1.00432 1.41115i 0.129657 0.182179i
\(61\) 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
\(66\) 1.43544 + 0.450927i 0.176691 + 0.0555052i
\(67\) −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
\(69\) −4.47551 4.87381i −0.538788 0.586738i
\(70\) 3.77210 + 2.74059i 0.450853 + 0.327564i
\(71\) 2.04879 + 0.215337i 0.243147 + 0.0255558i 0.225318 0.974285i \(-0.427658\pi\)
0.0178290 + 0.999841i \(0.494325\pi\)
\(72\) 2.56823 1.55054i 0.302669 0.182733i
\(73\) 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
\(75\) −1.14632 + 1.29844i −0.132366 + 0.149931i
\(76\) −6.42498 + 2.86059i −0.736996 + 0.328132i
\(77\) −1.25161 + 3.85206i −0.142634 + 0.438983i
\(78\) −0.675110 2.01063i −0.0764411 0.227659i
\(79\) 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
\(81\) 6.27923 + 6.44758i 0.697692 + 0.716398i
\(82\) −4.49109 1.99956i −0.495958 0.220815i
\(83\) 2.31676 2.57302i 0.254297 0.282426i −0.602456 0.798152i \(-0.705811\pi\)
0.856754 + 0.515726i \(0.172478\pi\)
\(84\) 4.10614 + 6.95403i 0.448016 + 0.758746i
\(85\) 1.50491 2.07134i 0.163231 0.224668i
\(86\) −1.00818 9.59215i −0.108714 1.03435i
\(87\) −1.11040 9.65515i −0.119047 1.03514i
\(88\) −0.752301 + 0.434341i −0.0801956 + 0.0463009i
\(89\) 5.10306 3.70759i 0.540923 0.393004i −0.283505 0.958971i \(-0.591497\pi\)
0.824428 + 0.565967i \(0.191497\pi\)
\(90\) −2.71624 + 1.27360i −0.286317 + 0.134249i
\(91\) 5.43001 1.76432i 0.569220 0.184951i
\(92\) 3.82031 0.398294
\(93\) 6.19427 + 7.39128i 0.642316 + 0.766440i
\(94\) −8.59173 −0.886169
\(95\) 6.68880 2.17332i 0.686256 0.222978i
\(96\) −0.343522 + 1.69764i −0.0350606 + 0.173265i
\(97\) 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
\(99\) −1.78134 1.90218i −0.179032 0.191177i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) 10.6891 14.7123i 1.06361 1.46393i 0.187219 0.982318i \(-0.440053\pi\)
0.876386 0.481609i \(-0.159947\pi\)
\(102\) 3.81860 2.25476i 0.378097 0.223255i
\(103\) 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
\(105\) −3.35675 7.34514i −0.327585 0.716812i
\(106\) 0.0237175 + 0.111582i 0.00230364 + 0.0108378i
\(107\) 1.81808 + 4.08348i 0.175761 + 0.394765i 0.979848 0.199747i \(-0.0640119\pi\)
−0.804087 + 0.594512i \(0.797345\pi\)
\(108\) −5.19391 + 0.152481i −0.499785 + 0.0146725i
\(109\) −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
\(111\) 10.1168 + 8.93152i 0.960240 + 0.847742i
\(112\) −4.56069 0.969404i −0.430944 0.0916001i
\(113\) −5.40555 + 12.1411i −0.508512 + 1.14214i 0.458798 + 0.888540i \(0.348280\pi\)
−0.967310 + 0.253596i \(0.918387\pi\)
\(114\) 12.1267 + 1.15474i 1.13577 + 0.108151i
\(115\) −3.79938 0.399331i −0.354294 0.0372378i
\(116\) 4.53951 + 3.29815i 0.421483 + 0.306226i
\(117\) −0.693332 + 3.60756i −0.0640985 + 0.333519i
\(118\) −5.35272 + 9.27118i −0.492758 + 0.853481i
\(119\) 5.96883 + 10.3383i 0.547162 + 0.947712i
\(120\) 0.519092 1.65244i 0.0473864 0.150846i
\(121\) −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
\(126\) −0.273669 13.9850i −0.0243804 1.24589i
\(127\) 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
\(129\) −6.64516 + 15.3271i −0.585074 + 1.34947i
\(130\) −1.06047 0.612264i −0.0930095 0.0536991i
\(131\) 3.50667 0.368566i 0.306379 0.0322017i 0.0499085 0.998754i \(-0.484107\pi\)
0.256470 + 0.966552i \(0.417440\pi\)
\(132\) 1.50453 0.0147194i 0.130953 0.00128116i
\(133\) −3.42769 + 32.6123i −0.297219 + 2.82785i
\(134\) −0.562790 0.506739i −0.0486177 0.0437755i
\(135\) 5.18140 + 0.391266i 0.445944 + 0.0336748i
\(136\) −0.532319 + 2.50436i −0.0456460 + 0.214748i
\(137\) 11.0103 2.34032i 0.940677 0.199947i 0.288040 0.957618i \(-0.406996\pi\)
0.652636 + 0.757671i \(0.273663\pi\)
\(138\) −5.76255 3.25226i −0.490541 0.276851i
\(139\) −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
\(141\) 12.9598 + 7.31422i 1.09141 + 0.615968i
\(142\) 2.01506 0.428314i 0.169100 0.0359434i
\(143\) 0.221161 1.04048i 0.0184944 0.0870094i
\(144\) 1.96339 2.26828i 0.163616 0.189024i
\(145\) −4.16990 3.75459i −0.346291 0.311802i
\(146\) 1.31637 12.5245i 0.108944 1.03653i
\(147\) 25.5285 0.249756i 2.10556 0.0205995i
\(148\) −7.74878 + 0.814430i −0.636946 + 0.0669457i
\(149\) −19.6833 11.3641i −1.61252 0.930987i −0.988785 0.149348i \(-0.952283\pi\)
−0.623731 0.781639i \(-0.714384\pi\)
\(150\) −0.688975 + 1.58912i −0.0562546 + 0.129751i
\(151\) −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
\(153\) −7.67947 + 0.150277i −0.620848 + 0.0121492i
\(154\) 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
\(159\) 0.0592153 0.188501i 0.00469608 0.0149491i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) 8.90623 15.4260i 0.701909 1.21574i
\(162\) 7.96431 + 4.19163i 0.625735 + 0.329325i
\(163\) 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
\(165\) −1.49783 0.142627i −0.116606 0.0111035i
\(166\) 1.40826 3.16301i 0.109302 0.245497i
\(167\) −4.33774 0.922016i −0.335665 0.0713477i 0.0369960 0.999315i \(-0.488221\pi\)
−0.372661 + 0.927968i \(0.621554\pi\)
\(168\) 6.05408 + 5.34481i 0.467082 + 0.412361i
\(169\) 10.5063 4.67769i 0.808174 0.359822i
\(170\) 0.791180 2.43500i 0.0606808 0.186756i
\(171\) −17.3089 12.0654i −1.32364 0.922662i
\(172\) −3.92297 8.81114i −0.299124 0.671843i
\(173\) −3.16559 14.8929i −0.240675 1.13229i −0.917993 0.396597i \(-0.870191\pi\)
0.677317 0.735691i \(-0.263142\pi\)
\(174\) −4.03966 8.83946i −0.306246 0.670118i
\(175\) −4.25947 1.89644i −0.321986 0.143357i
\(176\) −0.581262 + 0.645557i −0.0438143 + 0.0486607i
\(177\) 15.9667 9.42783i 1.20013 0.708639i
\(178\) 3.70759 5.10306i 0.277896 0.382491i
\(179\) 0.392979 + 3.73894i 0.0293726 + 0.279462i 0.999343 + 0.0362392i \(0.0115378\pi\)
−0.969971 + 0.243222i \(0.921795\pi\)
\(180\) −2.18973 + 2.05063i −0.163213 + 0.152845i
\(181\) −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
\(183\) 3.39742 16.7896i 0.251144 1.24112i
\(184\) 3.63333 1.18054i 0.267852 0.0870305i
\(185\) 7.79146 0.572840
\(186\) 8.17513 + 5.11539i 0.599430 + 0.375078i
\(187\) 2.22410 0.162642
\(188\) −8.17122 + 2.65499i −0.595947 + 0.193635i
\(189\) −11.4928 + 21.3280i −0.835978 + 1.55139i
\(190\) 5.68983 4.13390i 0.412784 0.299905i
\(191\) 2.83469 1.63661i 0.205111 0.118421i −0.393926 0.919142i \(-0.628883\pi\)
0.599037 + 0.800721i \(0.295550\pi\)
\(192\) 0.197892 + 1.72071i 0.0142816 + 0.124181i
\(193\) −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
\(195\) 1.07839 + 1.82633i 0.0772251 + 0.130786i
\(196\) −9.86272 + 10.9537i −0.704480 + 0.782405i
\(197\) 1.70722 + 0.760102i 0.121634 + 0.0541550i 0.466651 0.884441i \(-0.345460\pi\)
−0.345017 + 0.938596i \(0.612127\pi\)
\(198\) −2.28197 1.25862i −0.162172 0.0894461i
\(199\) −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
\(201\) 0.417522 + 1.24347i 0.0294497 + 0.0877078i
\(202\) 5.61959 17.2953i 0.395393 1.21690i
\(203\) 23.9005 10.6412i 1.67749 0.746866i
\(204\) 2.93494 3.32442i 0.205487 0.232756i
\(205\) 4.80868 + 1.02212i 0.335853 + 0.0713878i
\(206\) 3.61523 8.11993i 0.251885 0.565742i
\(207\) 5.92355 + 9.81143i 0.411715 + 0.681942i
\(208\) 1.21782 + 0.127998i 0.0844406 + 0.00887506i
\(209\) 4.94266 + 3.59105i 0.341891 + 0.248398i
\(210\) −5.46223 5.94835i −0.376930 0.410475i
\(211\) 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
\(213\) −3.40415 1.06937i −0.233248 0.0732721i
\(214\) 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
\(219\) −12.6478 + 17.7713i −0.854659 + 1.20087i
\(220\) 0.645557 0.581262i 0.0435235 0.0391887i
\(221\) −1.84281 2.53641i −0.123961 0.170617i
\(222\) 12.3816 + 5.36813i 0.830998 + 0.360285i
\(223\) 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
\(225\) 2.39209 1.81050i 0.159472 0.120700i
\(226\) −1.38919 + 13.2173i −0.0924075 + 0.879199i
\(227\) 19.7967 + 17.8250i 1.31395 + 1.18309i 0.969724 + 0.244204i \(0.0785267\pi\)
0.344230 + 0.938885i \(0.388140\pi\)
\(228\) 11.8900 2.64913i 0.787434 0.175443i
\(229\) 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
\(231\) 3.44806 6.10947i 0.226866 0.401974i
\(232\) 5.33652 + 1.73394i 0.350360 + 0.113839i
\(233\) −21.1716 6.87905i −1.38699 0.450662i −0.482032 0.876154i \(-0.660101\pi\)
−0.904962 + 0.425492i \(0.860101\pi\)
\(234\) 0.455400 + 3.64525i 0.0297704 + 0.238297i
\(235\) 8.40398 1.78632i 0.548215 0.116527i
\(236\) −2.22579 + 10.4715i −0.144886 + 0.681636i
\(237\) −4.27555 19.1898i −0.277727 1.24651i
\(238\) 8.87141 + 7.98785i 0.575048 + 0.517776i
\(239\) 2.73910 26.0608i 0.177178 1.68573i −0.439284 0.898348i \(-0.644768\pi\)
0.616461 0.787385i \(-0.288566\pi\)
\(240\) −0.0169445 1.73197i −0.00109377 0.111798i
\(241\) 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
\(243\) −8.44500 13.1027i −0.541747 0.840542i
\(244\) 5.81317 + 8.00114i 0.372150 + 0.512221i
\(245\) 10.9537 9.86272i 0.699804 0.630106i
\(246\) 6.93738 + 4.93733i 0.442311 + 0.314793i
\(247\) 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 \(0.0330562\pi\)
−0.000870709 1.00000i \(0.500277\pi\)
\(252\) −4.58189 13.2160i −0.288632 0.832530i
\(253\) −1.65932 2.87402i −0.104320 0.180688i
\(254\) 7.20676 12.4825i 0.452192 0.783220i
\(255\) −3.26636 + 2.99942i −0.204547 + 0.187831i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) 13.2187 + 1.38935i 0.824563 + 0.0866650i 0.507405 0.861708i \(-0.330605\pi\)
0.317158 + 0.948373i \(0.397271\pi\)
\(258\) −1.58359 + 16.6304i −0.0985902 + 1.03536i
\(259\) −14.7760 + 33.1875i −0.918139 + 2.06217i
\(260\) −1.19777 0.254594i −0.0742824 0.0157892i
\(261\) −1.43170 + 16.7724i −0.0886198 + 1.03819i
\(262\) 3.22115 1.43415i 0.199003 0.0886018i
\(263\) 4.69372 14.4458i 0.289427 0.890766i −0.695609 0.718420i \(-0.744865\pi\)
0.985037 0.172345i \(-0.0551345\pi\)
\(264\) 1.42635 0.478925i 0.0877855 0.0294758i
\(265\) −0.0463984 0.104212i −0.00285023 0.00640172i
\(266\) 6.81783 + 32.0754i 0.418028 + 1.96667i
\(267\) −9.93682 + 4.54115i −0.608123 + 0.277914i
\(268\) −0.691836 0.308025i −0.0422606 0.0188156i
\(269\) −0.600537 + 0.666964i −0.0366154 + 0.0406655i −0.761174 0.648547i \(-0.775377\pi\)
0.724559 + 0.689213i \(0.242044\pi\)
\(270\) 5.04871 1.22902i 0.307255 0.0747961i
\(271\) −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
\(273\) −9.82430 + 1.12985i −0.594594 + 0.0683818i
\(274\) 9.74826 5.62816i 0.588914 0.340010i
\(275\) −0.702779 + 0.510599i −0.0423792 + 0.0307903i
\(276\) −6.48552 1.31236i −0.390382 0.0789948i
\(277\) −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
\(279\) −7.97660 14.6756i −0.477546 0.878606i
\(280\) 4.66258 0.278642
\(281\) −4.54544 + 1.47690i −0.271158 + 0.0881047i −0.441440 0.897291i \(-0.645532\pi\)
0.170282 + 0.985395i \(0.445532\pi\)
\(282\) 14.5857 + 2.95145i 0.868565 + 0.175756i
\(283\) 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
\(285\) −12.1018 + 1.39178i −0.716847 + 0.0824416i
\(286\) −0.111190 1.05790i −0.00657478 0.0625548i
\(287\) −13.4731 + 18.5441i −0.795290 + 1.09462i
\(288\) 1.16636 2.76399i 0.0687282 0.162869i
\(289\) −6.98893 + 7.76199i −0.411114 + 0.456588i
\(290\) −5.12604 2.28226i −0.301011 0.134019i
\(291\) −17.9076 + 8.18382i −1.04976 + 0.479744i
\(292\) −2.61832 12.3182i −0.153226 0.720871i
\(293\) −9.18876 20.6383i −0.536813 1.20570i −0.954800 0.297249i \(-0.903931\pi\)
0.417987 0.908453i \(-0.362736\pi\)
\(294\) 24.2019 8.12628i 1.41148 0.473934i
\(295\) 3.30816 10.1815i 0.192609 0.592788i
\(296\) −7.11786 + 3.16907i −0.413717 + 0.184199i
\(297\) 2.37064 + 3.84116i 0.137559 + 0.222887i
\(298\) −22.2316 4.72547i −1.28784 0.273739i
\(299\) −1.90274 + 4.27363i −0.110038 + 0.247150i
\(300\) −0.164188 + 1.72425i −0.00947941 + 0.0995497i
\(301\) −44.7241 4.70070i −2.57786 0.270944i
\(302\) −11.1112 8.07277i −0.639378 0.464536i
\(303\) −23.2003 + 21.3043i −1.33282 + 1.22390i
\(304\) −3.51651 + 6.09077i −0.201686 + 0.349330i
\(305\) −4.94498 8.56495i −0.283149 0.490428i
\(306\) −7.25717 + 2.51601i −0.414865 + 0.143831i
\(307\) −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 \(0.0251376\pi\)
−0.996883 + 0.0788900i \(0.974862\pi\)
\(312\) −1.72799 1.22981i −0.0978283 0.0696245i
\(313\) −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
\(315\) 3.17534 + 13.6225i 0.178910 + 0.767543i
\(316\) 9.83016 + 5.67544i 0.552990 + 0.319269i
\(317\) 12.3644 1.29955i 0.694453 0.0729900i 0.249276 0.968432i \(-0.419807\pi\)
0.445177 + 0.895443i \(0.353141\pi\)
\(318\) −0.00193294 0.197574i −0.000108394 0.0110794i
\(319\) 0.509504 4.84761i 0.0285267 0.271414i
\(320\) 0.743145 + 0.669131i 0.0415431 + 0.0374055i
\(321\) −1.68369 7.55685i −0.0939745 0.421782i
\(322\) 3.70342 17.4232i 0.206384 0.970958i
\(323\) 17.6132 3.74381i 0.980027 0.208311i
\(324\) 8.86979 + 1.52537i 0.492766 + 0.0847425i
\(325\) 1.16459 + 0.378400i 0.0646001 + 0.0209898i
\(326\) 5.64283 + 1.83347i 0.312528 + 0.101546i
\(327\) 8.50889 15.0766i 0.470543 0.833735i
\(328\) −4.80868 + 1.02212i −0.265515 + 0.0564370i
\(329\) −8.32886 + 39.1842i −0.459185 + 2.16029i
\(330\) −1.46859 + 0.327207i −0.0808434 + 0.0180122i
\(331\) 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
\(333\) −14.1065 18.6379i −0.773030 1.02135i
\(334\) −4.41036 + 0.463547i −0.241324 + 0.0253642i
\(335\) 0.655849 + 0.378654i 0.0358328 + 0.0206881i
\(336\) 7.40941 + 3.21240i 0.404216 + 0.175251i
\(337\) −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
\(339\) 13.3474 18.7543i 0.724933 1.01859i
\(340\) 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
\(345\) 6.31281 + 1.98309i 0.339870 + 0.106766i
\(346\) −7.61282 13.1858i −0.409268 0.708873i
\(347\) 6.93837 12.0176i 0.372471 0.645139i −0.617474 0.786592i \(-0.711844\pi\)
0.989945 + 0.141452i \(0.0451771\pi\)
\(348\) −6.57349 7.15851i −0.352376 0.383736i
\(349\) 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
\(351\) 2.41631 5.88618i 0.128973 0.314181i
\(352\) −0.353325 + 0.793581i −0.0188323 + 0.0422980i
\(353\) −14.8127 3.14853i −0.788399 0.167579i −0.203919 0.978988i \(-0.565368\pi\)
−0.584480 + 0.811408i \(0.698701\pi\)
\(354\) 12.2719 13.9004i 0.652242 0.738797i
\(355\) −1.88198 + 0.837910i −0.0998849 + 0.0444716i
\(356\) 1.94920 5.99901i 0.103307 0.317947i
\(357\) −6.58150 19.6012i −0.348330 1.03741i
\(358\) 1.52914 + 3.43451i 0.0808177 + 0.181519i
\(359\) −0.0614367 0.289037i −0.00324251 0.0152548i 0.976497 0.215533i \(-0.0691488\pi\)
−0.979739 + 0.200278i \(0.935815\pi\)
\(360\) −1.44888 + 2.62693i −0.0763628 + 0.138451i
\(361\) 27.8296 + 12.3905i 1.46472 + 0.652134i
\(362\) −9.12202 + 10.1310i −0.479443 + 0.532475i
\(363\) 9.02269 + 15.2805i 0.473568 + 0.802021i
\(364\) 3.35593 4.61904i 0.175899 0.242104i
\(365\) 1.31637 + 12.5245i 0.0689021 + 0.655560i
\(366\) −1.95714 17.0177i −0.102301 0.889531i
\(367\) −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
\(369\) −6.26114 13.3533i −0.325942 0.695147i
\(370\) 7.41012 2.40769i 0.385234 0.125170i
\(371\) 0.531882 0.0276139
\(372\) 9.35576 + 2.33877i 0.485073 + 0.121259i
\(373\) −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
\(375\) 0.343522 1.69764i 0.0177394 0.0876659i
\(376\) −6.95085 + 5.05009i −0.358463 + 0.260439i
\(377\) −5.95046 + 3.43550i −0.306464 + 0.176937i
\(378\) −4.33958 + 23.8356i −0.223204 + 1.22597i
\(379\) −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
\(381\) −21.4971 + 12.6934i −1.10133 + 0.650302i
\(382\) 2.19021 2.43247i 0.112061 0.124456i
\(383\) −24.3409 10.8373i −1.24376 0.553758i −0.323933 0.946080i \(-0.605005\pi\)
−0.919828 + 0.392322i \(0.871672\pi\)
\(384\) 0.719934 + 1.57534i 0.0367390 + 0.0803912i
\(385\) −0.842105 3.96179i −0.0429176 0.201912i
\(386\) −2.37396 5.33200i −0.120831 0.271392i
\(387\) 16.5463 23.7371i 0.841096 1.20663i
\(388\) 3.51273 10.8111i 0.178332 0.548850i
\(389\) 1.52527 0.679094i 0.0773343 0.0344314i −0.367705 0.929942i \(-0.619856\pi\)
0.445039 + 0.895511i \(0.353190\pi\)
\(390\) 1.58998 + 1.40370i 0.0805116 + 0.0710791i
\(391\) −9.56744 2.03362i −0.483846 0.102845i
\(392\) −5.99514 + 13.4653i −0.302800 + 0.680101i
\(393\) −6.07968 0.578925i −0.306679 0.0292029i
\(394\) 1.85854 + 0.195341i 0.0936321 + 0.00984113i
\(395\) −9.18306 6.67188i −0.462050 0.335699i
\(396\) −2.55921 0.491851i −0.128605 0.0247165i
\(397\) −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
\(399\) 17.0221 54.1866i 0.852169 2.71272i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) 11.1442 + 34.2984i 0.556516 + 1.71278i 0.691906 + 0.721987i \(0.256771\pi\)
−0.135390 + 0.990792i \(0.543229\pi\)
\(402\) 0.781341 + 1.05359i 0.0389698 + 0.0525484i
\(403\) 3.05232 6.09646i 0.152047 0.303686i
\(404\) 18.1854i 0.904757i
\(405\) −8.66176 2.44416i −0.430406 0.121451i
\(406\) 19.4425 17.5061i 0.964913 0.868811i
\(407\) 3.97831 + 5.47568i 0.197198 + 0.271419i
\(408\) 1.76399 4.06865i 0.0873307 0.201428i
\(409\) 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
\(411\) −19.4956 + 0.190733i −0.961646 + 0.00940818i
\(412\) 0.929088 8.83968i 0.0457729 0.435500i
\(413\) 37.0940 + 33.3996i 1.82528 + 1.64349i
\(414\) 8.66553 + 7.50075i 0.425888 + 0.368642i
\(415\) −0.719862 + 3.38668i −0.0353366 + 0.166246i
\(416\) 1.19777 0.254594i 0.0587254 0.0124825i
\(417\) 1.86456 + 1.05232i 0.0913080 + 0.0515323i
\(418\) 5.81044 + 1.88793i 0.284198 + 0.0923415i
\(419\) −34.1565 11.0981i −1.66866 0.542179i −0.685997 0.727604i \(-0.740634\pi\)
−0.982658 + 0.185425i \(0.940634\pi\)
\(420\) −7.03303 3.96930i −0.343177 0.193682i
\(421\) 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
\(423\) −19.4885 16.8689i −0.947562 0.820194i
\(424\) 0.0847740 + 0.0763309i 0.00411699 + 0.00370696i
\(425\) −0.267626 + 2.54629i −0.0129818 + 0.123513i
\(426\) −3.56799 + 0.0349071i −0.172870 + 0.00169125i
\(427\) 45.8600 4.82008i 2.21932 0.233260i
\(428\) 3.87107 + 2.23496i 0.187115 + 0.108031i
\(429\) −0.732881 + 1.69039i −0.0353838 + 0.0816129i
\(430\) 5.66918 + 7.80296i 0.273392 + 0.376292i
\(431\) −12.3383 + 11.1094i −0.594314 + 0.535123i −0.910465 0.413586i \(-0.864276\pi\)
0.316151 + 0.948709i \(0.397609\pi\)
\(432\) −4.11234 + 3.17627i −0.197855 + 0.152818i
\(433\) 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
\(438\) −6.53716 + 20.8099i −0.312358 + 0.994333i
\(439\) −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
\(441\) −43.4241 8.34562i −2.06782 0.397410i
\(442\) −2.53641 1.84281i −0.120645 0.0876535i
\(443\) 0.986515 + 0.103687i 0.0468707 + 0.00492631i 0.127935 0.991783i \(-0.459165\pi\)
−0.0810641 + 0.996709i \(0.525832\pi\)
\(444\) 13.4344 + 1.27927i 0.637570 + 0.0607113i
\(445\) −2.56558 + 5.76240i −0.121620 + 0.273164i
\(446\) 6.71055 + 1.42637i 0.317754 + 0.0675406i
\(447\) 29.5113 + 26.0539i 1.39584 + 1.23231i
\(448\) −4.25947 + 1.89644i −0.201241 + 0.0895984i
\(449\) −7.25903 + 22.3410i −0.342575 + 1.05434i 0.620295 + 0.784369i \(0.287013\pi\)
−0.962869 + 0.269968i \(0.912987\pi\)
\(450\) 1.71553 2.46109i 0.0808710 0.116017i
\(451\) 1.73699 + 3.90133i 0.0817915 + 0.183707i
\(452\) 2.76316 + 12.9996i 0.129968 + 0.611452i
\(453\) 9.88773 + 21.6360i 0.464566 + 1.01655i
\(454\) 24.3360 + 10.8351i 1.14215 + 0.508516i
\(455\) −3.82037 + 4.24295i −0.179102 + 0.198913i
\(456\) 10.4894 6.19368i 0.491213 0.290046i
\(457\) 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
\(459\) 13.0886 + 2.38295i 0.610925 + 0.111227i
\(460\) −3.30848 + 1.91015i −0.154259 + 0.0890613i
\(461\) 28.4844 20.6951i 1.32665 0.963868i 0.326827 0.945084i \(-0.394021\pi\)
0.999824 0.0187836i \(-0.00597935\pi\)
\(462\) 1.39137 6.87596i 0.0647323 0.319899i
\(463\) 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
\(465\) −9.06004 3.30390i −0.420149 0.153215i
\(466\) −22.2611 −1.03122
\(467\) −29.8707 + 9.70556i −1.38225 + 0.449120i −0.903408 0.428782i \(-0.858943\pi\)
−0.478841 + 0.877902i \(0.658943\pi\)
\(468\) 1.55955 + 3.32611i 0.0720904 + 0.153749i
\(469\) −2.85665 + 2.07548i −0.131908 + 0.0958366i
\(470\) 7.44065 4.29586i 0.343212 0.198153i
\(471\) −1.75261 15.2393i −0.0807561 0.702191i
\(472\) 1.11902 + 10.6468i 0.0515072 + 0.490058i
\(473\) −4.92472 + 6.77830i −0.226439 + 0.311666i
\(474\) −9.99625 16.9293i −0.459143 0.777591i
\(475\) −4.70601 + 5.22655i −0.215926 + 0.239811i
\(476\) 10.9056 + 4.85548i 0.499857 + 0.222551i
\(477\) −0.165281 + 0.299666i −0.00756769 + 0.0137208i
\(478\) −5.44819 25.6317i −0.249195 1.17237i
\(479\) −1.60604 3.60724i −0.0733821 0.164819i 0.873130 0.487488i \(-0.162087\pi\)
−0.946512 + 0.322669i \(0.895420\pi\)
\(480\) −0.551323 1.64196i −0.0251643 0.0749450i
\(481\) 2.94829 9.07390i 0.134430 0.413734i
\(482\) 23.9977 10.6845i 1.09307 0.486664i
\(483\) −20.4188 + 23.1284i −0.929087 + 1.05238i
\(484\) −10.0215 2.13014i −0.455523 0.0968244i
\(485\) −4.62356 + 10.3847i −0.209945 + 0.471544i
\(486\) −12.0806 9.85180i −0.547989 0.446887i
\(487\) 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
\(489\) −6.95080 7.56940i −0.314326 0.342300i
\(490\) 7.36980 12.7649i 0.332934 0.576658i
\(491\) 20.5882 + 35.6598i 0.929132 + 1.60930i 0.784777 + 0.619778i \(0.212777\pi\)
0.144355 + 0.989526i \(0.453889\pi\)
\(492\) 8.12356 + 2.55192i 0.366238 + 0.115049i
\(493\) −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
\(498\) −3.47729 + 4.88589i −0.155821 + 0.218942i
\(499\) 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
\(501\) 7.04721 + 3.05536i 0.314846 + 0.136504i
\(502\) 20.3765 + 11.7644i 0.909449 + 0.525071i
\(503\) 14.5269 1.52684i 0.647724 0.0680785i 0.225031 0.974352i \(-0.427752\pi\)
0.422693 + 0.906273i \(0.361085\pi\)
\(504\) −8.44161 11.1533i −0.376019 0.496807i
\(505\) −1.90089 + 18.0858i −0.0845885 + 0.804806i
\(506\) −2.46623 2.22060i −0.109637 0.0987177i
\(507\) −19.4428 + 4.33191i −0.863484 + 0.192387i
\(508\) 2.99674 14.0986i 0.132959 0.625522i
\(509\) 6.02541 1.28074i 0.267072 0.0567678i −0.0724293 0.997374i \(-0.523075\pi\)
0.339501 + 0.940606i \(0.389742\pi\)
\(510\) −2.17962 + 3.86198i −0.0965152 + 0.171011i
\(511\) −55.8440 18.1448i −2.47039 0.802680i
\(512\) −0.951057 0.309017i −0.0420312 0.0136568i
\(513\) 25.2395 + 26.4287i 1.11435 + 1.16685i
\(514\) 13.0011 2.76347i 0.573454 0.121891i
\(515\) −1.84800 + 8.69414i −0.0814324 + 0.383109i
\(516\) 3.63298 + 16.3058i 0.159933 + 0.717822i
\(517\) 5.54645 + 4.99405i 0.243933 + 0.219638i
\(518\) −3.79734 + 36.1293i −0.166846 + 1.58743i
\(519\) 0.257992 + 26.3703i 0.0113246 + 1.15753i
\(520\) −1.21782 + 0.127998i −0.0534049 + 0.00561308i
\(521\) −16.4739 9.51122i −0.721735 0.416694i 0.0936558 0.995605i \(-0.470145\pi\)
−0.815391 + 0.578911i \(0.803478\pi\)
\(522\) 3.82135 + 16.3940i 0.167256 + 0.717544i
\(523\) 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
\(525\) 6.57960 + 4.68270i 0.287157 + 0.204370i
\(526\) 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
\(531\) −30.3444 + 10.5202i −1.31684 + 0.456537i
\(532\) 16.3960 + 28.3987i 0.710856 + 1.23124i
\(533\) 3.00996 5.21340i 0.130376 0.225817i
\(534\) −8.04718 + 7.38954i −0.348236 + 0.319777i
\(535\) −3.61625 2.62736i −0.156344 0.113591i
\(536\) −0.753160 0.0791603i −0.0325316 0.00341921i
\(537\) 0.617272 6.48239i 0.0266372 0.279736i
\(538\) −0.365041 + 0.819896i −0.0157381 + 0.0353482i
\(539\) 12.5242 + 2.66211i 0.539457 + 0.114665i
\(540\) 4.42182 2.72901i 0.190285 0.117438i
\(541\) 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
\(543\) 22.3843 7.51599i 0.960603 0.322542i
\(544\) 1.04137 + 2.33896i 0.0446485 + 0.100282i
\(545\) −2.07809 9.77665i −0.0890156 0.418785i
\(546\) −8.99432 + 4.11043i −0.384921 + 0.175910i
\(547\) −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
\(549\) −11.5352 + 27.3357i −0.492311 + 1.16666i
\(550\) −0.510599 + 0.702779i −0.0217720 + 0.0299666i
\(551\) −4.12504 39.2471i −0.175732 1.67198i
\(552\) −6.57363 + 0.756007i −0.279792 + 0.0321778i
\(553\) 45.8339 26.4622i 1.94905 1.12529i
\(554\) −11.1858 + 8.12695i −0.475239 + 0.345281i
\(555\) −13.2271 2.67654i −0.561460 0.113613i
\(556\) −1.17562 + 0.381982i −0.0498574 + 0.0161996i
\(557\) −28.1529 −1.19288 −0.596439 0.802659i \(-0.703418\pi\)
−0.596439 + 0.802659i \(0.703418\pi\)
\(558\) −12.1212 11.4924i −0.513132 0.486514i
\(559\) 11.8106 0.499533
\(560\) 4.43437 1.44082i 0.187386 0.0608855i
\(561\) −3.77573 0.764028i −0.159411 0.0322573i
\(562\) −3.86658 + 2.80924i −0.163102 + 0.118501i
\(563\) −31.6236 + 18.2579i −1.33278 + 0.769478i −0.985724 0.168368i \(-0.946150\pi\)
−0.347051 + 0.937846i \(0.612817\pi\)
\(564\) 14.7839 1.70023i 0.622513 0.0715927i
\(565\) −1.38919 13.2173i −0.0584436 0.556054i
\(566\) 0.0944175 0.129955i 0.00396866 0.00546240i
\(567\) 26.8373 32.2594i 1.12706 1.35477i
\(568\) 1.37846 1.53094i 0.0578390 0.0642367i
\(569\) −22.7409 10.1249i −0.953348 0.424458i −0.129696 0.991554i \(-0.541400\pi\)
−0.823652 + 0.567096i \(0.808067\pi\)
\(570\) −11.0794 + 5.06331i −0.464064 + 0.212079i
\(571\) 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
\(573\) −5.37450 + 1.80460i −0.224523 + 0.0753882i
\(574\) −7.08321 + 21.7999i −0.295647 + 0.909909i
\(575\) 3.49002 1.55386i 0.145544 0.0648004i
\(576\) 0.255152 2.98913i 0.0106313 0.124547i
\(577\) 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
\(579\) −0.958301 + 10.0638i −0.0398256 + 0.418236i
\(580\) −5.58041 0.586525i −0.231714 0.0243541i
\(581\) −13.0603 9.48887i −0.541833 0.393665i
\(582\) −14.5022 + 13.3170i −0.601135 + 0.552008i
\(583\) 0.0495474 0.0858186i 0.00205204 0.00355424i
\(584\) −6.29672 10.9062i −0.260560 0.451303i
\(585\) −1.20334 3.47090i −0.0497519 0.143504i
\(586\) −15.1166 16.7887i −0.624461 0.693535i
\(587\) −1.11231 3.42333i −0.0459098 0.141296i 0.925474 0.378811i \(-0.123667\pi\)
−0.971384 + 0.237515i \(0.923667\pi\)
\(588\) 20.5062 15.2074i 0.845662 0.627141i
\(589\) 24.8571 + 30.2570i 1.02422 + 1.24672i
\(590\) 10.7054i 0.440736i
\(591\) −2.63713 1.87685i −0.108477 0.0772032i
\(592\) −5.79019 + 5.21351i −0.237975 + 0.214274i
\(593\) 2.48623 + 3.42200i 0.102097 + 0.140525i 0.857009 0.515302i \(-0.172320\pi\)
−0.754911 + 0.655827i \(0.772320\pi\)
\(594\) 3.44160 + 2.92059i 0.141211 + 0.119833i
\(595\) −10.3383 5.96883i −0.423830 0.244698i
\(596\) −22.6038 + 2.37575i −0.925887 + 0.0973146i
\(597\) 0.279726 + 28.5919i 0.0114484 + 1.17019i
\(598\) −0.488991 + 4.65244i −0.0199963 + 0.190252i
\(599\) 5.23221 + 4.71111i 0.213782 + 0.192491i 0.769064 0.639172i \(-0.220723\pi\)
−0.555281 + 0.831663i \(0.687389\pi\)
\(600\) 0.376671 + 1.69060i 0.0153775 + 0.0690183i
\(601\) −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
\(603\) −0.281642 2.25440i −0.0114694 0.0918063i
\(604\) −13.0620 4.24410i −0.531486 0.172690i
\(605\) 9.74395 + 3.16600i 0.396148 + 0.128716i
\(606\) −15.4814 + 27.4308i −0.628889 + 1.11430i
\(607\) 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
\(609\) −44.2301 + 9.85461i −1.79229 + 0.399329i
\(610\) −7.34967 6.61767i −0.297579 0.267942i
\(611\) 1.09972 10.4632i 0.0444901 0.423295i
\(612\) −6.12449 + 4.63546i −0.247568 + 0.187377i
\(613\) 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
\(615\) −7.81231 3.38708i −0.315023 0.136580i
\(616\) 2.38071 + 3.27676i 0.0959214 + 0.132024i
\(617\) 20.2178 18.2042i 0.813938 0.732873i −0.152906 0.988241i \(-0.548863\pi\)
0.966844 + 0.255368i \(0.0821965\pi\)
\(618\) −8.92674 + 12.5428i −0.359086 + 0.504547i
\(619\) 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
\(624\) −2.02345 0.635643i −0.0810029 0.0254461i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −13.3056 + 23.0460i −0.531800 + 0.921104i
\(627\) −7.15726 7.79423i −0.285834 0.311272i
\(628\) 7.16499 + 5.20567i 0.285914 + 0.207729i
\(629\) 19.8393 + 2.08520i 0.791045 + 0.0831422i
\(630\) 7.22953 + 11.9746i 0.288031 + 0.477078i
\(631\) 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
\(633\) −8.23048 + 9.32269i −0.327132 + 0.370544i
\(634\) 11.3576 5.05675i 0.451070 0.200829i
\(635\) −4.45402 + 13.7081i −0.176753 + 0.543988i
\(636\) −0.0628920 0.187306i −0.00249383 0.00742719i
\(637\) −7.34121 16.4886i −0.290869 0.653303i
\(638\) −1.01343 4.76779i −0.0401219 0.188759i
\(639\) 5.41168 + 2.98481i 0.214083 + 0.118077i
\(640\) 0.913545 + 0.406737i 0.0361111 + 0.0160777i
\(641\) 32.0977 35.6481i 1.26778 1.40802i 0.395908 0.918290i \(-0.370430\pi\)
0.871876 0.489727i \(-0.162903\pi\)
\(642\) −3.93648 6.66670i −0.155360 0.263114i
\(643\) 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
\(645\) −1.90866 16.5962i −0.0751535 0.653475i
\(646\) 15.5943 9.00336i 0.613549 0.354233i
\(647\) −14.8380 + 10.7805i −0.583343 + 0.423824i −0.839928 0.542698i \(-0.817403\pi\)
0.256585 + 0.966522i \(0.417403\pi\)
\(648\) 8.90704 1.29021i 0.349902 0.0506842i
\(649\) 8.84447 2.87374i 0.347176 0.112804i
\(650\) 1.22453 0.0480299
\(651\) 31.2547 32.3254i 1.22497 1.26693i
\(652\) 5.93322 0.232363
\(653\) −28.3984 + 9.22720i −1.11131 + 0.361088i −0.806447 0.591307i \(-0.798612\pi\)
−0.304868 + 0.952395i \(0.598612\pi\)
\(654\) 3.43352 16.9680i 0.134261 0.663503i
\(655\) −2.85258 + 2.07252i −0.111460 + 0.0809801i
\(656\) −4.25748 + 2.45806i −0.166227 + 0.0959710i
\(657\) 27.5763 25.8244i 1.07585 1.00751i
\(658\) 4.18737 + 39.8401i 0.163241 + 1.55313i
\(659\) −1.00751 + 1.38673i −0.0392472 + 0.0540191i −0.828190 0.560448i \(-0.810629\pi\)
0.788942 + 0.614467i \(0.210629\pi\)
\(660\) −1.29560 + 0.765013i −0.0504312 + 0.0297781i
\(661\) 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
\(663\) 2.25712 + 4.93896i 0.0876593 + 0.191813i
\(664\) −0.719862 3.38668i −0.0279361 0.131429i
\(665\) −13.3377 29.9570i −0.517214 1.16168i
\(666\) −19.1755 13.3665i −0.743034 0.517942i
\(667\) −6.62418 + 20.3871i −0.256489 + 0.789393i
\(668\) −4.05126 + 1.80373i −0.156748 + 0.0697886i
\(669\) −8.90791 7.86429i −0.344400 0.304051i
\(670\) 0.740760 + 0.157453i 0.0286181 + 0.00608295i
\(671\) 3.49437 7.84848i 0.134899 0.302987i
\(672\) 8.03945 + 0.765540i 0.310129 + 0.0295313i
\(673\) −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
\(675\) −4.68286 + 2.25185i −0.180243 + 0.0866739i
\(676\) 5.75027 9.95975i 0.221164 0.383067i
\(677\) 2.26108 + 3.91630i 0.0869002 + 0.150516i 0.906199 0.422851i \(-0.138971\pi\)
−0.819299 + 0.573366i \(0.805637\pi\)
\(678\) 6.89877 21.9610i 0.264946 0.843406i
\(679\) −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 \(-0.656671\pi\)
0.472562 0.881298i \(-0.343329\pi\)
\(684\) −21.0950 + 0.412802i −0.806588 + 0.0157839i
\(685\) −8.36507 + 7.53195i −0.319613 + 0.287781i
\(686\) 21.2111 + 29.1946i 0.809844 + 1.11466i
\(687\) −10.0163 + 23.1026i −0.382145 + 0.881419i
\(688\) −8.35280 4.82249i −0.318448 0.183856i
\(689\) −0.138922 + 0.0146013i −0.00529252 + 0.000556266i
\(690\) 6.61665 0.0647334i 0.251891 0.00246436i
\(691\) −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
\(693\) −7.95231 + 9.18722i −0.302083 + 0.348994i
\(694\) 2.88514 13.5735i 0.109518 0.515243i
\(695\) 1.20911 0.257004i 0.0458641 0.00974870i
\(696\) −8.46386 4.77682i −0.320822 0.181065i
\(697\) 11.9707 + 3.88953i 0.453424 + 0.147327i
\(698\) 5.74239 + 1.86581i 0.217353 + 0.0706221i
\(699\) 33.5786 + 18.9511i 1.27006 + 0.716796i
\(700\) −4.56069 + 0.969404i −0.172378 + 0.0366400i
\(701\) 6.25875 29.4451i 0.236390 1.11213i −0.686520 0.727111i \(-0.740863\pi\)
0.922910 0.385016i \(-0.125804\pi\)
\(702\) 0.479116 6.34477i 0.0180831 0.239468i
\(703\) 40.7225 + 36.6667i 1.53588 + 1.38291i
\(704\) −0.0908021 + 0.863924i −0.00342223 + 0.0325604i
\(705\) −14.8806 + 0.145583i −0.560436 + 0.00548297i
\(706\) −15.0606 + 1.58294i −0.566815 + 0.0595746i
\(707\) −73.4309 42.3954i −2.76165 1.59444i
\(708\) 7.37578 17.0123i 0.277199 0.639360i
\(709\) 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
\(711\) 0.666238 + 34.0461i 0.0249859 + 1.27683i
\(712\) 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
\(717\) −13.6025 + 43.3010i −0.507994 + 1.61711i
\(718\) −0.147747 0.255906i −0.00551388 0.00955031i
\(719\) −8.08232 + 13.9990i −0.301420 + 0.522075i −0.976458 0.215709i \(-0.930794\pi\)
0.675038 + 0.737783i \(0.264127\pi\)
\(720\) −0.566203 + 2.94608i −0.0211012 + 0.109794i
\(721\) −33.5278 24.3594i −1.24864 0.907192i
\(722\) 30.2964 + 3.18428i 1.12752 + 0.118507i
\(723\) −45.2940 4.31302i −1.68450 0.160403i
\(724\) −5.54490 + 12.4540i −0.206075 + 0.462851i
\(725\) 5.48853 + 1.16662i 0.203839 + 0.0433273i
\(726\) 13.3030 + 11.7445i 0.493722 + 0.435879i
\(727\) 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
\(729\) 9.83552 + 25.1448i 0.364278 + 0.931290i
\(730\) 5.12221 + 11.5047i 0.189582 + 0.425807i
\(731\) 5.13421 + 24.1546i 0.189896 + 0.893389i
\(732\) −7.12012 15.5800i −0.263167 0.575855i
\(733\) 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
\(735\) −21.9835 + 12.9806i −0.810873 + 0.478795i
\(736\) 2.24552 3.09069i 0.0827710 0.113924i
\(737\) 0.0687652 + 0.654257i 0.00253300 + 0.0240999i
\(738\) −10.0811 10.7650i −0.371091 0.396264i
\(739\) −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
\(741\) −2.95845 + 14.6203i −0.108681 + 0.537090i
\(742\) 0.505850 0.164361i 0.0185703 0.00603387i
\(743\) 12.5487 0.460368 0.230184 0.973147i \(-0.426067\pi\)
0.230184 + 0.973147i \(0.426067\pi\)
\(744\) 9.62057 0.666788i 0.352707 0.0244456i
\(745\) 22.7283 0.832700
\(746\) −2.04744 + 0.665255i −0.0749622 + 0.0243567i
\(747\) 9.40455 4.40963i 0.344095 0.161340i
\(748\) 1.79934 1.30729i 0.0657902 0.0477994i
\(749\) 18.0492 10.4207i 0.659502 0.380764i
\(750\) −0.197892 1.72071i −0.00722598 0.0628314i
\(751\) 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
\(753\) −20.7208 35.0921i −0.755109 1.27883i
\(754\) −4.59760 + 5.10615i −0.167435 + 0.185955i
\(755\) 12.5468 + 5.58621i 0.456626 + 0.203303i
\(756\) 3.23843 + 24.0100i 0.117781 + 0.873237i
\(757\) 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
\(759\) 1.82964 + 5.44908i 0.0664117 + 0.197789i
\(760\) 2.17332 6.68880i 0.0788346 0.242628i
\(761\) −41.4014 + 18.4331i −1.50080 + 0.668199i −0.982375 0.186923i \(-0.940148\pi\)
−0.518426 + 0.855123i \(0.673482\pi\)
\(762\) −16.5225 + 18.7151i −0.598548 + 0.677977i
\(763\) 45.5843 + 9.68925i 1.65026 + 0.350774i
\(764\) 1.33134 2.99023i 0.0481661 0.108183i
\(765\) 6.57548 3.96988i 0.237737 0.143531i
\(766\) −26.4985 2.78510i −0.957428 0.100630i
\(767\) −10.6055 7.70533i −0.382942 0.278224i
\(768\) 1.17150 + 1.27576i 0.0422730 + 0.0460352i
\(769\) 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
\(771\) −21.9634 6.89955i −0.790994 0.248481i
\(772\) −3.90545 4.33744i −0.140560 0.156108i
\(773\) 11.0966 + 34.1517i 0.399116 + 1.22835i 0.925710 + 0.378235i