Properties

Label 300.2.n.a.191.55
Level $300$
Weight $2$
Character 300.191
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 191.55
Character \(\chi\) \(=\) 300.191
Dual form 300.2.n.a.11.55

$q$-expansion

\(f(q)\) \(=\) \(q+(1.40679 + 0.144680i) q^{2} +(-0.926171 + 1.46363i) q^{3} +(1.95814 + 0.407070i) q^{4} +(-2.17904 + 0.501802i) q^{5} +(-1.51469 + 1.92502i) q^{6} +2.67645i q^{7} +(2.69580 + 0.855967i) q^{8} +(-1.28441 - 2.71114i) q^{9} +O(q^{10})\) \(q+(1.40679 + 0.144680i) q^{2} +(-0.926171 + 1.46363i) q^{3} +(1.95814 + 0.407070i) q^{4} +(-2.17904 + 0.501802i) q^{5} +(-1.51469 + 1.92502i) q^{6} +2.67645i q^{7} +(2.69580 + 0.855967i) q^{8} +(-1.28441 - 2.71114i) q^{9} +(-3.13805 + 0.390668i) q^{10} +(1.85172 + 1.34535i) q^{11} +(-2.40937 + 2.48896i) q^{12} +(-2.84737 + 2.06874i) q^{13} +(-0.387229 + 3.76521i) q^{14} +(1.28371 - 3.65405i) q^{15} +(3.66859 + 1.59420i) q^{16} +(-1.64171 - 0.533423i) q^{17} +(-1.41466 - 3.99984i) q^{18} +(6.93479 + 2.25325i) q^{19} +(-4.47111 + 0.0955751i) q^{20} +(-3.91732 - 2.47885i) q^{21} +(2.41034 + 2.16054i) q^{22} +(-6.63409 - 4.81995i) q^{23} +(-3.74959 + 3.15287i) q^{24} +(4.49639 - 2.18689i) q^{25} +(-4.30497 + 2.49833i) q^{26} +(5.15769 + 0.631077i) q^{27} +(-1.08950 + 5.24084i) q^{28} +(5.87446 - 1.90873i) q^{29} +(2.33458 - 4.95477i) q^{30} +(1.24970 + 0.406051i) q^{31} +(4.93030 + 2.77348i) q^{32} +(-3.68411 + 1.46420i) q^{33} +(-2.23237 - 0.987938i) q^{34} +(-1.34305 - 5.83207i) q^{35} +(-1.41143 - 5.83163i) q^{36} +(7.58270 - 5.50915i) q^{37} +(9.42982 + 4.17319i) q^{38} +(-0.390707 - 6.08350i) q^{39} +(-6.30376 - 0.512427i) q^{40} +(-4.57985 - 6.30362i) q^{41} +(-5.15222 - 4.05398i) q^{42} +2.46655i q^{43} +(3.07827 + 3.38817i) q^{44} +(4.15924 + 5.26315i) q^{45} +(-8.63544 - 7.74049i) q^{46} +(1.80384 + 5.55165i) q^{47} +(-5.73105 + 3.89295i) q^{48} -0.163362 q^{49} +(6.64189 - 2.42596i) q^{50} +(2.30123 - 1.90881i) q^{51} +(-6.41767 + 2.89179i) q^{52} +(0.712445 - 0.231487i) q^{53} +(7.16450 + 1.63401i) q^{54} +(-4.71007 - 2.00238i) q^{55} +(-2.29095 + 7.21515i) q^{56} +(-9.72073 + 8.06306i) q^{57} +(8.54031 - 1.83527i) q^{58} +(0.338315 - 0.245801i) q^{59} +(4.00113 - 6.63257i) q^{60} +(-6.39074 - 4.64315i) q^{61} +(1.69932 + 0.752035i) q^{62} +(7.25622 - 3.43766i) q^{63} +(6.53464 + 4.61503i) q^{64} +(5.16643 - 5.93667i) q^{65} +(-5.39462 + 1.52681i) q^{66} +(0.682543 + 0.221772i) q^{67} +(-2.99754 - 1.71280i) q^{68} +(13.1989 - 5.24574i) q^{69} +(-1.04560 - 8.39883i) q^{70} +(0.00682784 + 0.0210139i) q^{71} +(-1.14187 - 8.40810i) q^{72} +(4.67607 + 3.39736i) q^{73} +(11.4644 - 6.65317i) q^{74} +(-0.963638 + 8.60647i) q^{75} +(12.6620 + 7.23512i) q^{76} +(-3.60077 + 4.95603i) q^{77} +(0.330518 - 8.61476i) q^{78} +(-9.80854 + 3.18699i) q^{79} +(-8.79395 - 1.63291i) q^{80} +(-5.70056 + 6.96445i) q^{81} +(-5.53089 - 9.53050i) q^{82} +(0.850203 - 2.61666i) q^{83} +(-6.66158 - 6.44854i) q^{84} +(3.84501 + 0.338536i) q^{85} +(-0.356861 + 3.46992i) q^{86} +(-2.64709 + 10.3658i) q^{87} +(3.84029 + 5.21182i) q^{88} +(6.76353 - 9.30919i) q^{89} +(5.08971 + 8.00592i) q^{90} +(-5.53687 - 7.62084i) q^{91} +(-11.0284 - 12.1387i) q^{92} +(-1.75174 + 1.45302i) q^{93} +(1.73442 + 8.07101i) q^{94} +(-16.2418 - 1.43002i) q^{95} +(-8.62564 + 4.64740i) q^{96} +(-2.56496 - 7.89413i) q^{97} +(-0.229816 - 0.0236352i) q^{98} +(1.26907 - 6.74827i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} + q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} + q^{6} - 6q^{9} - 8q^{10} - 9q^{12} - 12q^{13} - 18q^{16} - 26q^{18} + 12q^{21} - 6q^{22} - 16q^{24} - 12q^{25} + 2q^{28} - 13q^{30} + 6q^{33} - 30q^{34} + 35q^{36} + 12q^{37} - 24q^{40} - 13q^{42} - 6q^{45} - 18q^{46} - 34q^{48} - 168q^{49} - 28q^{52} - 38q^{54} - 44q^{57} - 34q^{58} - 76q^{60} + 4q^{61} + 18q^{64} - 46q^{66} - 18q^{69} + 72q^{70} - 29q^{72} - 20q^{73} + 16q^{76} + 5q^{78} - 30q^{81} - 20q^{82} - 18q^{84} - 76q^{85} + 6q^{88} + 2q^{90} - 52q^{93} + 96q^{94} - 50q^{96} - 72q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{1}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.40679 + 0.144680i 0.994753 + 0.102304i
\(3\) −0.926171 + 1.46363i −0.534725 + 0.845026i
\(4\) 1.95814 + 0.407070i 0.979068 + 0.203535i
\(5\) −2.17904 + 0.501802i −0.974494 + 0.224413i
\(6\) −1.51469 + 1.92502i −0.618369 + 0.785888i
\(7\) 2.67645i 1.01160i 0.862650 + 0.505801i \(0.168803\pi\)
−0.862650 + 0.505801i \(0.831197\pi\)
\(8\) 2.69580 + 0.855967i 0.953108 + 0.302630i
\(9\) −1.28441 2.71114i −0.428138 0.903713i
\(10\) −3.13805 + 0.390668i −0.992340 + 0.123540i
\(11\) 1.85172 + 1.34535i 0.558315 + 0.405640i 0.830842 0.556509i \(-0.187859\pi\)
−0.272527 + 0.962148i \(0.587859\pi\)
\(12\) −2.40937 + 2.48896i −0.695525 + 0.718502i
\(13\) −2.84737 + 2.06874i −0.789719 + 0.573765i −0.907880 0.419230i \(-0.862300\pi\)
0.118161 + 0.992994i \(0.462300\pi\)
\(14\) −0.387229 + 3.76521i −0.103491 + 1.00629i
\(15\) 1.28371 3.65405i 0.331452 0.943472i
\(16\) 3.66859 + 1.59420i 0.917147 + 0.398549i
\(17\) −1.64171 0.533423i −0.398172 0.129374i 0.103084 0.994673i \(-0.467129\pi\)
−0.501257 + 0.865299i \(0.667129\pi\)
\(18\) −1.41466 3.99984i −0.333438 0.942772i
\(19\) 6.93479 + 2.25325i 1.59095 + 0.516931i 0.964848 0.262809i \(-0.0846490\pi\)
0.626103 + 0.779740i \(0.284649\pi\)
\(20\) −4.47111 + 0.0955751i −0.999772 + 0.0213713i
\(21\) −3.91732 2.47885i −0.854829 0.540929i
\(22\) 2.41034 + 2.16054i 0.513887 + 0.460629i
\(23\) −6.63409 4.81995i −1.38330 1.00503i −0.996563 0.0828400i \(-0.973601\pi\)
−0.386740 0.922189i \(-0.626399\pi\)
\(24\) −3.74959 + 3.15287i −0.765381 + 0.643577i
\(25\) 4.49639 2.18689i 0.899278 0.437377i
\(26\) −4.30497 + 2.49833i −0.844275 + 0.489963i
\(27\) 5.15769 + 0.631077i 0.992597 + 0.121451i
\(28\) −1.08950 + 5.24084i −0.205896 + 0.990426i
\(29\) 5.87446 1.90873i 1.09086 0.354442i 0.292281 0.956332i \(-0.405586\pi\)
0.798579 + 0.601891i \(0.205586\pi\)
\(30\) 2.33458 4.95477i 0.426234 0.904613i
\(31\) 1.24970 + 0.406051i 0.224452 + 0.0729288i 0.419084 0.907947i \(-0.362351\pi\)
−0.194632 + 0.980876i \(0.562351\pi\)
\(32\) 4.93030 + 2.77348i 0.871561 + 0.490286i
\(33\) −3.68411 + 1.46420i −0.641321 + 0.254885i
\(34\) −2.23237 0.987938i −0.382848 0.169430i
\(35\) −1.34305 5.83207i −0.227016 0.985800i
\(36\) −1.41143 5.83163i −0.235238 0.971938i
\(37\) 7.58270 5.50915i 1.24659 0.905699i 0.248569 0.968614i \(-0.420040\pi\)
0.998019 + 0.0629150i \(0.0200397\pi\)
\(38\) 9.42982 + 4.17319i 1.52972 + 0.676980i
\(39\) −0.390707 6.08350i −0.0625632 0.974140i
\(40\) −6.30376 0.512427i −0.996712 0.0810219i
\(41\) −4.57985 6.30362i −0.715252 0.984460i −0.999668 0.0257592i \(-0.991800\pi\)
0.284416 0.958701i \(-0.408200\pi\)
\(42\) −5.15222 4.05398i −0.795005 0.625543i
\(43\) 2.46655i 0.376145i 0.982155 + 0.188073i \(0.0602240\pi\)
−0.982155 + 0.188073i \(0.939776\pi\)
\(44\) 3.07827 + 3.38817i 0.464066 + 0.510785i
\(45\) 4.15924 + 5.26315i 0.620022 + 0.784584i
\(46\) −8.63544 7.74049i −1.27323 1.14127i
\(47\) 1.80384 + 5.55165i 0.263117 + 0.809792i 0.992121 + 0.125282i \(0.0399836\pi\)
−0.729004 + 0.684510i \(0.760016\pi\)
\(48\) −5.73105 + 3.89295i −0.827206 + 0.561899i
\(49\) −0.163362 −0.0233374
\(50\) 6.64189 2.42596i 0.939305 0.343083i
\(51\) 2.30123 1.90881i 0.322237 0.267286i
\(52\) −6.41767 + 2.89179i −0.889970 + 0.401019i
\(53\) 0.712445 0.231487i 0.0978618 0.0317972i −0.259677 0.965696i \(-0.583616\pi\)
0.357539 + 0.933898i \(0.383616\pi\)
\(54\) 7.16450 + 1.63401i 0.974964 + 0.222361i
\(55\) −4.71007 2.00238i −0.635106 0.270001i
\(56\) −2.29095 + 7.21515i −0.306141 + 0.964165i
\(57\) −9.72073 + 8.06306i −1.28754 + 1.06798i
\(58\) 8.54031 1.83527i 1.12140 0.240982i
\(59\) 0.338315 0.245801i 0.0440449 0.0320005i −0.565545 0.824717i \(-0.691334\pi\)
0.609590 + 0.792717i \(0.291334\pi\)
\(60\) 4.00113 6.63257i 0.516544 0.856261i
\(61\) −6.39074 4.64315i −0.818251 0.594494i 0.0979601 0.995190i \(-0.468768\pi\)
−0.916211 + 0.400696i \(0.868768\pi\)
\(62\) 1.69932 + 0.752035i 0.215813 + 0.0955086i
\(63\) 7.25622 3.43766i 0.914198 0.433105i
\(64\) 6.53464 + 4.61503i 0.816830 + 0.576878i
\(65\) 5.16643 5.93667i 0.640817 0.736353i
\(66\) −5.39462 + 1.52681i −0.664032 + 0.187938i
\(67\) 0.682543 + 0.221772i 0.0833859 + 0.0270937i 0.350413 0.936595i \(-0.386041\pi\)
−0.267027 + 0.963689i \(0.586041\pi\)
\(68\) −2.99754 1.71280i −0.363506 0.207708i
\(69\) 13.1989 5.24574i 1.58896 0.631513i
\(70\) −1.04560 8.39883i −0.124973 1.00385i
\(71\) 0.00682784 + 0.0210139i 0.000810315 + 0.00249389i 0.951461 0.307770i \(-0.0995827\pi\)
−0.950651 + 0.310264i \(0.899583\pi\)
\(72\) −1.14187 8.40810i −0.134571 0.990904i
\(73\) 4.67607 + 3.39736i 0.547292 + 0.397631i 0.826786 0.562516i \(-0.190167\pi\)
−0.279494 + 0.960147i \(0.590167\pi\)
\(74\) 11.4644 6.65317i 1.33270 0.773416i
\(75\) −0.963638 + 8.60647i −0.111271 + 0.993790i
\(76\) 12.6620 + 7.23512i 1.45243 + 0.829925i
\(77\) −3.60077 + 4.95603i −0.410346 + 0.564792i
\(78\) 0.330518 8.61476i 0.0374238 0.975429i
\(79\) −9.80854 + 3.18699i −1.10355 + 0.358564i −0.803466 0.595350i \(-0.797013\pi\)
−0.300080 + 0.953914i \(0.597013\pi\)
\(80\) −8.79395 1.63291i −0.983194 0.182565i
\(81\) −5.70056 + 6.96445i −0.633396 + 0.773828i
\(82\) −5.53089 9.53050i −0.610785 1.05247i
\(83\) 0.850203 2.61666i 0.0933219 0.287215i −0.893491 0.449081i \(-0.851751\pi\)
0.986813 + 0.161866i \(0.0517513\pi\)
\(84\) −6.66158 6.44854i −0.726838 0.703594i
\(85\) 3.84501 + 0.338536i 0.417050 + 0.0367194i
\(86\) −0.356861 + 3.46992i −0.0384813 + 0.374171i
\(87\) −2.64709 + 10.3658i −0.283798 + 1.11133i
\(88\) 3.84029 + 5.21182i 0.409376 + 0.555581i
\(89\) 6.76353 9.30919i 0.716932 0.986773i −0.282688 0.959212i \(-0.591226\pi\)
0.999620 0.0275606i \(-0.00877393\pi\)
\(90\) 5.08971 + 8.00592i 0.536503 + 0.843898i
\(91\) −5.53687 7.62084i −0.580421 0.798881i
\(92\) −11.0284 12.1387i −1.14979 1.26554i
\(93\) −1.75174 + 1.45302i −0.181647 + 0.150671i
\(94\) 1.73442 + 8.07101i 0.178892 + 0.832461i
\(95\) −16.2418 1.43002i −1.66638 0.146717i
\(96\) −8.62564 + 4.64740i −0.880351 + 0.474324i
\(97\) −2.56496 7.89413i −0.260432 0.801528i −0.992711 0.120522i \(-0.961543\pi\)
0.732278 0.681005i \(-0.238457\pi\)
\(98\) −0.229816 0.0236352i −0.0232150 0.00238752i
\(99\) 1.26907 6.74827i 0.127546 0.678227i
\(100\) 9.69476 2.45187i 0.969476 0.245187i
\(101\) 8.19206i 0.815140i 0.913174 + 0.407570i \(0.133624\pi\)
−0.913174 + 0.407570i \(0.866376\pi\)
\(102\) 3.51353 2.35235i 0.347891 0.232918i
\(103\) −11.5728 + 3.76024i −1.14030 + 0.370507i −0.817483 0.575953i \(-0.804631\pi\)
−0.322821 + 0.946460i \(0.604631\pi\)
\(104\) −9.44671 + 3.13964i −0.926327 + 0.307867i
\(105\) 9.77987 + 3.43578i 0.954418 + 0.335298i
\(106\) 1.03575 0.222578i 0.100601 0.0216187i
\(107\) −4.43749 −0.428988 −0.214494 0.976725i \(-0.568810\pi\)
−0.214494 + 0.976725i \(0.568810\pi\)
\(108\) 9.84256 + 3.33528i 0.947101 + 0.320937i
\(109\) −12.5441 + 9.11380i −1.20150 + 0.872944i −0.994432 0.105381i \(-0.966394\pi\)
−0.207073 + 0.978326i \(0.566394\pi\)
\(110\) −6.33639 3.49839i −0.604151 0.333558i
\(111\) 1.04047 + 16.2007i 0.0987573 + 1.53770i
\(112\) −4.26678 + 9.81878i −0.403173 + 0.927787i
\(113\) −0.190962 0.262836i −0.0179642 0.0247256i 0.799940 0.600079i \(-0.204864\pi\)
−0.817905 + 0.575354i \(0.804864\pi\)
\(114\) −14.8416 + 9.93666i −1.39005 + 0.930654i
\(115\) 16.8746 + 7.17384i 1.57356 + 0.668964i
\(116\) 12.2800 1.34623i 1.14017 0.124994i
\(117\) 9.26585 + 5.06252i 0.856628 + 0.468030i
\(118\) 0.511502 0.296843i 0.0470876 0.0273266i
\(119\) 1.42768 4.39394i 0.130875 0.402792i
\(120\) 6.58837 8.75177i 0.601433 0.798923i
\(121\) −1.78029 5.47918i −0.161845 0.498107i
\(122\) −8.31868 7.45656i −0.753138 0.675085i
\(123\) 13.4679 0.864962i 1.21436 0.0779910i
\(124\) 2.28178 + 1.30382i 0.204910 + 0.117086i
\(125\) −8.70041 + 7.02160i −0.778188 + 0.628031i
\(126\) 10.7054 3.78625i 0.953710 0.337306i
\(127\) 2.42299 3.33497i 0.215006 0.295930i −0.687868 0.725836i \(-0.741453\pi\)
0.902874 + 0.429906i \(0.141453\pi\)
\(128\) 8.52519 + 7.43782i 0.753527 + 0.657417i
\(129\) −3.61011 2.28445i −0.317852 0.201134i
\(130\) 8.12702 7.60419i 0.712787 0.666932i
\(131\) −4.03029 + 12.4040i −0.352128 + 1.08374i 0.605528 + 0.795824i \(0.292962\pi\)
−0.957656 + 0.287914i \(0.907038\pi\)
\(132\) −7.81002 + 1.36742i −0.679775 + 0.119018i
\(133\) −6.03070 + 18.5606i −0.522928 + 1.60941i
\(134\) 0.928111 + 0.410737i 0.0801765 + 0.0354823i
\(135\) −11.5555 + 1.21300i −0.994536 + 0.104398i
\(136\) −3.96912 2.84325i −0.340349 0.243806i
\(137\) 4.84704 + 6.67138i 0.414111 + 0.569975i 0.964215 0.265121i \(-0.0854121\pi\)
−0.550104 + 0.835096i \(0.685412\pi\)
\(138\) 19.3271 5.47005i 1.64523 0.465642i
\(139\) 6.80822 9.37071i 0.577466 0.794814i −0.415949 0.909388i \(-0.636550\pi\)
0.993415 + 0.114574i \(0.0365505\pi\)
\(140\) −0.255802 11.9667i −0.0216192 1.01137i
\(141\) −9.79622 2.50163i −0.824990 0.210675i
\(142\) 0.00656506 + 0.0305501i 0.000550927 + 0.00256371i
\(143\) −8.05573 −0.673654
\(144\) −0.389891 11.9937i −0.0324909 0.999472i
\(145\) −11.8429 + 7.10700i −0.983495 + 0.590204i
\(146\) 6.08673 + 5.45592i 0.503741 + 0.451535i
\(147\) 0.151301 0.239101i 0.0124791 0.0197207i
\(148\) 17.0906 7.70098i 1.40484 0.633016i
\(149\) 10.1521i 0.831693i −0.909435 0.415847i \(-0.863485\pi\)
0.909435 0.415847i \(-0.136515\pi\)
\(150\) −2.60083 + 11.9681i −0.212357 + 0.977192i
\(151\) 16.1010i 1.31028i −0.755508 0.655140i \(-0.772610\pi\)
0.755508 0.655140i \(-0.227390\pi\)
\(152\) 16.7661 + 12.0103i 1.35991 + 0.974161i
\(153\) 0.662446 + 5.13603i 0.0535556 + 0.415224i
\(154\) −5.78258 + 6.45115i −0.465973 + 0.519849i
\(155\) −2.92689 0.257699i −0.235093 0.0206989i
\(156\) 1.71136 12.0714i 0.137018 0.966483i
\(157\) 16.9235 1.35064 0.675322 0.737523i \(-0.264005\pi\)
0.675322 + 0.737523i \(0.264005\pi\)
\(158\) −14.2597 + 3.06433i −1.13444 + 0.243785i
\(159\) −0.321035 + 1.25715i −0.0254597 + 0.0996986i
\(160\) −12.1350 3.56948i −0.959358 0.282192i
\(161\) 12.9003 17.7558i 1.01669 1.39935i
\(162\) −9.02713 + 8.97278i −0.709239 + 0.704968i
\(163\) −2.73834 3.76900i −0.214483 0.295211i 0.688196 0.725525i \(-0.258403\pi\)
−0.902679 + 0.430314i \(0.858403\pi\)
\(164\) −6.40195 14.2077i −0.499908 1.10943i
\(165\) 7.29307 5.03924i 0.567764 0.392305i
\(166\) 1.57464 3.55809i 0.122216 0.276161i
\(167\) 4.13795 12.7353i 0.320205 0.985488i −0.653354 0.757052i \(-0.726639\pi\)
0.973559 0.228436i \(-0.0733612\pi\)
\(168\) −8.43849 10.0356i −0.651044 0.774261i
\(169\) −0.189360 + 0.582791i −0.0145662 + 0.0448300i
\(170\) 5.36015 + 1.03255i 0.411105 + 0.0791927i
\(171\) −2.79826 21.6953i −0.213988 1.65908i
\(172\) −1.00406 + 4.82983i −0.0765587 + 0.368271i
\(173\) −9.79725 + 13.4848i −0.744871 + 1.02523i 0.253453 + 0.967348i \(0.418434\pi\)
−0.998324 + 0.0578791i \(0.981566\pi\)
\(174\) −5.22364 + 14.1996i −0.396003 + 1.07647i
\(175\) 5.85309 + 12.0343i 0.442452 + 0.909711i
\(176\) 4.64844 + 7.88756i 0.350390 + 0.594547i
\(177\) 0.0464225 + 0.722821i 0.00348933 + 0.0543306i
\(178\) 10.8617 12.1176i 0.814122 0.908250i
\(179\) 6.55445 + 20.1725i 0.489903 + 1.50777i 0.824752 + 0.565494i \(0.191315\pi\)
−0.334849 + 0.942272i \(0.608685\pi\)
\(180\) 6.00188 + 11.9991i 0.447354 + 0.894357i
\(181\) −5.48943 + 16.8947i −0.408026 + 1.25578i 0.510315 + 0.859987i \(0.329529\pi\)
−0.918342 + 0.395788i \(0.870471\pi\)
\(182\) −6.68664 11.5220i −0.495647 0.854069i
\(183\) 12.7148 5.05332i 0.939902 0.373552i
\(184\) −13.7584 18.6722i −1.01429 1.37653i
\(185\) −13.7585 + 15.8097i −1.01154 + 1.16235i
\(186\) −2.67456 + 1.79065i −0.196108 + 0.131297i
\(187\) −2.32234 3.19643i −0.169826 0.233746i
\(188\) 1.27225 + 11.6052i 0.0927885 + 0.846394i
\(189\) −1.68904 + 13.8043i −0.122860 + 1.00411i
\(190\) −22.6420 4.36162i −1.64263 0.316425i
\(191\) 5.41887 3.93704i 0.392096 0.284874i −0.374218 0.927341i \(-0.622089\pi\)
0.766314 + 0.642466i \(0.222089\pi\)
\(192\) −12.8069 + 5.28998i −0.924257 + 0.381771i
\(193\) −5.36336 −0.386063 −0.193032 0.981193i \(-0.561832\pi\)
−0.193032 + 0.981193i \(0.561832\pi\)
\(194\) −2.46624 11.4765i −0.177066 0.823966i
\(195\) 3.90408 + 13.0601i 0.279577 + 0.935254i
\(196\) −0.319885 0.0664998i −0.0228489 0.00474998i
\(197\) 16.5630 5.38164i 1.18006 0.383426i 0.347674 0.937616i \(-0.386972\pi\)
0.832391 + 0.554189i \(0.186972\pi\)
\(198\) 2.76166 9.30981i 0.196263 0.661620i
\(199\) 0.552935i 0.0391965i 0.999808 + 0.0195983i \(0.00623872\pi\)
−0.999808 + 0.0195983i \(0.993761\pi\)
\(200\) 13.9933 2.04664i 0.989473 0.144719i
\(201\) −0.956742 + 0.793590i −0.0674834 + 0.0559755i
\(202\) −1.18523 + 11.5245i −0.0833924 + 0.810864i
\(203\) 5.10861 + 15.7227i 0.358554 + 1.10352i
\(204\) 5.28315 2.80094i 0.369894 0.196105i
\(205\) 13.1428 + 11.4376i 0.917934 + 0.798839i
\(206\) −16.8246 + 3.61552i −1.17223 + 0.251905i
\(207\) −4.54664 + 24.1768i −0.316013 + 1.68040i
\(208\) −13.7438 + 3.05007i −0.952962 + 0.211484i
\(209\) 9.80989 + 13.5022i 0.678564 + 0.933963i
\(210\) 13.2612 + 6.24838i 0.915108 + 0.431179i
\(211\) 6.21102 8.54873i 0.427584 0.588519i −0.539813 0.841785i \(-0.681505\pi\)
0.967397 + 0.253266i \(0.0815049\pi\)
\(212\) 1.48929 0.163268i 0.102285 0.0112133i
\(213\) −0.0370803 0.00946908i −0.00254070 0.000648810i
\(214\) −6.24263 0.642017i −0.426738 0.0438874i
\(215\) −1.23772 5.37470i −0.0844117 0.366551i
\(216\) 13.3639 + 6.11607i 0.909298 + 0.416146i
\(217\) −1.08677 + 3.34474i −0.0737749 + 0.227056i
\(218\) −18.9655 + 11.0064i −1.28451 + 0.745445i
\(219\) −9.30331 + 3.69748i −0.628660 + 0.249853i
\(220\) −8.40784 5.83826i −0.566857 0.393615i
\(221\) 5.77807 1.87741i 0.388675 0.126288i
\(222\) −0.880186 + 22.9415i −0.0590742 + 1.53973i
\(223\) 0.202024 0.278062i 0.0135285 0.0186204i −0.802199 0.597057i \(-0.796337\pi\)
0.815728 + 0.578436i \(0.196337\pi\)
\(224\) −7.42306 + 13.1957i −0.495974 + 0.881673i
\(225\) −11.7042 9.38148i −0.780279 0.625432i
\(226\) −0.230617 0.397385i −0.0153404 0.0264337i
\(227\) −10.2571 7.45219i −0.680785 0.494619i 0.192833 0.981232i \(-0.438232\pi\)
−0.873618 + 0.486613i \(0.838232\pi\)
\(228\) −22.3167 + 11.8315i −1.47796 + 0.783563i
\(229\) −8.64338 26.6016i −0.571170 1.75788i −0.648864 0.760904i \(-0.724756\pi\)
0.0776936 0.996977i \(-0.475244\pi\)
\(230\) 22.7011 + 12.5335i 1.49687 + 0.826436i
\(231\) −3.91886 9.86032i −0.257842 0.648762i
\(232\) 17.4702 0.117197i 1.14697 0.00769437i
\(233\) −2.61219 0.848752i −0.171130 0.0556036i 0.222199 0.975001i \(-0.428677\pi\)
−0.393329 + 0.919398i \(0.628677\pi\)
\(234\) 12.3027 + 8.46250i 0.804252 + 0.553211i
\(235\) −6.71646 11.1921i −0.438134 0.730091i
\(236\) 0.762525 0.343593i 0.0496362 0.0223660i
\(237\) 4.41982 17.3077i 0.287098 1.12426i
\(238\) 2.64416 5.97481i 0.171396 0.387289i
\(239\) 0.809300 + 0.587991i 0.0523493 + 0.0380340i 0.613652 0.789576i \(-0.289700\pi\)
−0.561303 + 0.827610i \(0.689700\pi\)
\(240\) 10.5347 11.3587i 0.680011 0.733202i
\(241\) 12.5703 9.13283i 0.809721 0.588297i −0.104028 0.994574i \(-0.533173\pi\)
0.913750 + 0.406277i \(0.133173\pi\)
\(242\) −1.71178 7.96564i −0.110037 0.512051i
\(243\) −4.91367 14.7938i −0.315212 0.949021i
\(244\) −10.6239 11.6934i −0.680122 0.748593i
\(245\) 0.355971 0.0819753i 0.0227422 0.00523721i
\(246\) 19.0717 + 0.731713i 1.21596 + 0.0466523i
\(247\) −24.4073 + 7.93042i −1.55300 + 0.504601i
\(248\) 3.02136 + 2.16433i 0.191856 + 0.137435i
\(249\) 3.04238 + 3.66785i 0.192803 + 0.232441i
\(250\) −13.2556 + 8.61917i −0.838356 + 0.545124i
\(251\) 2.21050 0.139526 0.0697629 0.997564i \(-0.477776\pi\)
0.0697629 + 0.997564i \(0.477776\pi\)
\(252\) 15.6080 3.77762i 0.983214 0.237968i
\(253\) −5.79995 17.8504i −0.364640 1.12225i
\(254\) 3.89116 4.34105i 0.244153 0.272382i
\(255\) −4.05663 + 5.31412i −0.254036 + 0.332783i
\(256\) 10.9171 + 11.6969i 0.682317 + 0.731057i
\(257\) 12.9252i 0.806255i −0.915144 0.403127i \(-0.867923\pi\)
0.915144 0.403127i \(-0.132077\pi\)
\(258\) −4.74816 3.73605i −0.295608 0.232597i
\(259\) 14.7449 + 20.2947i 0.916207 + 1.26105i
\(260\) 12.5332 9.52170i 0.777277 0.590511i
\(261\) −12.7201 13.4749i −0.787352 0.834075i
\(262\) −7.46439 + 16.8667i −0.461151 + 1.04203i
\(263\) 11.9011 8.64663i 0.733851 0.533174i −0.156928 0.987610i \(-0.550159\pi\)
0.890779 + 0.454436i \(0.150159\pi\)
\(264\) −11.1849 + 0.793716i −0.688384 + 0.0488498i
\(265\) −1.43628 + 0.861925i −0.0882301 + 0.0529476i
\(266\) −11.1693 + 25.2384i −0.684834 + 1.54747i
\(267\) 7.36101 + 18.5212i 0.450487 + 1.13348i
\(268\) 1.24623 + 0.712102i 0.0761259 + 0.0434985i
\(269\) −16.6765 5.41853i −1.01679 0.330373i −0.247232 0.968956i \(-0.579521\pi\)
−0.769553 + 0.638583i \(0.779521\pi\)
\(270\) −16.4316 + 0.0345910i −0.999998 + 0.00210514i
\(271\) −3.38630 + 1.10028i −0.205703 + 0.0668370i −0.410056 0.912060i \(-0.634491\pi\)
0.204353 + 0.978897i \(0.434491\pi\)
\(272\) −5.17236 4.57411i −0.313621 0.277346i
\(273\) 16.2822 1.04571i 0.985441 0.0632890i
\(274\) 5.85357 + 10.0865i 0.353627 + 0.609349i
\(275\) 11.2682 + 1.99973i 0.679498 + 0.120588i
\(276\) 27.9806 4.89898i 1.68424 0.294884i
\(277\) −13.9525 10.1371i −0.838324 0.609078i 0.0835780 0.996501i \(-0.473365\pi\)
−0.921902 + 0.387423i \(0.873365\pi\)
\(278\) 10.9335 12.1976i 0.655749 0.731566i
\(279\) −0.504265 3.90964i −0.0301896 0.234064i
\(280\) 1.37148 16.8717i 0.0819618 1.00828i
\(281\) −7.25718 2.35800i −0.432927 0.140667i 0.0844429 0.996428i \(-0.473089\pi\)
−0.517370 + 0.855762i \(0.673089\pi\)
\(282\) −13.4193 4.93659i −0.799109 0.293970i
\(283\) −18.9661 6.16246i −1.12742 0.366320i −0.314823 0.949150i \(-0.601945\pi\)
−0.812594 + 0.582830i \(0.801945\pi\)
\(284\) 0.00481568 + 0.0439275i 0.000285758 + 0.00260662i
\(285\) 17.1358 22.4476i 1.01503 1.32968i
\(286\) −11.3328 1.16550i −0.670120 0.0689177i
\(287\) 16.8713 12.2577i 0.995881 0.723550i
\(288\) 1.18675 16.9290i 0.0699299 0.997552i
\(289\) −11.3426 8.24090i −0.667213 0.484759i
\(290\) −17.6887 + 8.28465i −1.03872 + 0.486492i
\(291\) 13.9297 + 3.55717i 0.816571 + 0.208525i
\(292\) 7.77341 + 8.55598i 0.454904 + 0.500701i
\(293\) 10.7374i 0.627288i −0.949541 0.313644i \(-0.898450\pi\)
0.949541 0.313644i \(-0.101550\pi\)
\(294\) 0.247443 0.314475i 0.0144311 0.0183406i
\(295\) −0.613858 + 0.705375i −0.0357402 + 0.0410685i
\(296\) 25.1571 8.36102i 1.46222 0.485974i
\(297\) 8.70158 + 8.10750i 0.504917 + 0.470445i
\(298\) 1.46881 14.2819i 0.0850858 0.827329i
\(299\) 28.8609 1.66907
\(300\) −5.39037 + 16.4604i −0.311213 + 0.950340i
\(301\) −6.60158 −0.380509
\(302\) 2.32949 22.6508i 0.134047 1.30340i
\(303\) −11.9901 7.58725i −0.688815 0.435876i
\(304\) 21.8488 + 19.3217i 1.25311 + 1.10817i
\(305\) 16.2556 + 6.91069i 0.930793 + 0.395705i
\(306\) 0.188842 + 7.32118i 0.0107954 + 0.418524i
\(307\) 25.7559i 1.46997i −0.678084 0.734984i \(-0.737190\pi\)
0.678084 0.734984i \(-0.262810\pi\)
\(308\) −9.06825 + 8.23882i −0.516711 + 0.469450i
\(309\) 5.21483 20.4209i 0.296661 1.16171i
\(310\) −4.08024 0.785992i −0.231742 0.0446414i
\(311\) −10.6715 7.75332i −0.605127 0.439651i 0.242568 0.970134i \(-0.422010\pi\)
−0.847695 + 0.530484i \(0.822010\pi\)
\(312\) 4.15401 16.7343i 0.235175 0.947394i
\(313\) 23.1320 16.8064i 1.30750 0.949954i 0.307500 0.951548i \(-0.400508\pi\)
0.999999 + 0.00159451i \(0.000507549\pi\)
\(314\) 23.8079 + 2.44850i 1.34356 + 0.138177i
\(315\) −14.0865 + 11.1320i −0.793686 + 0.627216i
\(316\) −20.5038 + 2.24779i −1.15343 + 0.126448i
\(317\) 4.14438 + 1.34659i 0.232771 + 0.0756320i 0.423080 0.906092i \(-0.360949\pi\)
−0.190309 + 0.981724i \(0.560949\pi\)
\(318\) −0.633514 + 1.72210i −0.0355257 + 0.0965708i
\(319\) 13.4458 + 4.36880i 0.752819 + 0.244606i
\(320\) −16.5550 6.77721i −0.925455 0.378858i
\(321\) 4.10988 6.49484i 0.229391 0.362506i
\(322\) 20.7170 23.1123i 1.15451 1.28800i
\(323\) −10.1830 7.39835i −0.566595 0.411655i
\(324\) −13.9975 + 11.3168i −0.777639 + 0.628711i
\(325\) −8.27881 + 15.5287i −0.459226 + 0.861380i
\(326\) −3.30698 5.69839i −0.183157 0.315605i
\(327\) −1.72126 26.8008i −0.0951857 1.48209i
\(328\) −6.95065 20.9135i −0.383785 1.15475i
\(329\) −14.8587 + 4.82788i −0.819186 + 0.266170i
\(330\) 10.9889 6.03401i 0.604920 0.332161i
\(331\) 24.5671 + 7.98232i 1.35033 + 0.438748i 0.892802 0.450449i \(-0.148736\pi\)
0.457525 + 0.889197i \(0.348736\pi\)
\(332\) 2.72998 4.77767i 0.149827 0.262209i
\(333\) −24.6754 13.4817i −1.35220 0.738794i
\(334\) 7.66379 17.3173i 0.419344 0.947559i
\(335\) −1.59857 0.140747i −0.0873392 0.00768983i
\(336\) −10.4193 15.3389i −0.568417 0.836803i
\(337\) 21.2843 15.4640i 1.15943 0.842376i 0.169725 0.985492i \(-0.445712\pi\)
0.989706 + 0.143116i \(0.0457122\pi\)
\(338\) −0.350709 + 0.792469i −0.0190760 + 0.0431046i
\(339\) 0.561558 0.0360655i 0.0304996 0.00195881i
\(340\) 7.39124 + 2.22809i 0.400846 + 0.120835i
\(341\) 1.76781 + 2.43318i 0.0957321 + 0.131764i
\(342\) −0.797696 30.9257i −0.0431345 1.67227i
\(343\) 18.2979i 0.987993i
\(344\) −2.11128 + 6.64931i −0.113833 + 0.358507i
\(345\) −26.1286 + 18.0539i −1.40672 + 0.971989i
\(346\) −15.7337 + 17.5528i −0.845848 + 0.943644i
\(347\) −0.424321 1.30593i −0.0227787 0.0701058i 0.939021 0.343860i \(-0.111735\pi\)
−0.961800 + 0.273754i \(0.911735\pi\)
\(348\) −9.40298 + 19.2202i −0.504053 + 1.03031i
\(349\) 6.04822 0.323754 0.161877 0.986811i \(-0.448245\pi\)
0.161877 + 0.986811i \(0.448245\pi\)
\(350\) 6.49295 + 17.7767i 0.347063 + 0.950203i
\(351\) −15.9914 + 8.87299i −0.853558 + 0.473605i
\(352\) 5.39822 + 11.7687i 0.287726 + 0.627274i
\(353\) −7.89521 + 2.56531i −0.420219 + 0.136538i −0.511491 0.859288i \(-0.670907\pi\)
0.0912719 + 0.995826i \(0.470907\pi\)
\(354\) −0.0392710 + 1.02358i −0.00208723 + 0.0544025i
\(355\) −0.0254229 0.0423638i −0.00134931 0.00224844i
\(356\) 17.0334 15.4754i 0.902768 0.820196i
\(357\) 5.10882 + 6.15913i 0.270387 + 0.325976i
\(358\) 6.30220 + 29.3269i 0.333081 + 1.54997i
\(359\) −8.76883 + 6.37093i −0.462801 + 0.336245i −0.794629 0.607095i \(-0.792335\pi\)
0.331828 + 0.943340i \(0.392335\pi\)
\(360\) 6.70737 + 17.7486i 0.353510 + 0.935431i
\(361\) 27.6429 + 20.0837i 1.45489 + 1.05704i
\(362\) −10.1668 + 22.9732i −0.534357 + 1.20744i
\(363\) 9.66833 + 2.46897i 0.507456 + 0.129587i
\(364\) −7.73971 17.1765i −0.405671 0.900295i
\(365\) −11.8941 5.05651i −0.622566 0.264670i
\(366\) 18.6182 5.26940i 0.973187 0.275436i
\(367\) 8.52995 + 2.77155i 0.445260 + 0.144674i 0.523061 0.852295i \(-0.324790\pi\)
−0.0778012 + 0.996969i \(0.524790\pi\)
\(368\) −16.6538 28.2584i −0.868139 1.47307i
\(369\) −11.2076 + 20.5131i −0.583443 + 1.06787i
\(370\) −21.6427 + 20.2503i −1.12515 + 1.05276i
\(371\) 0.619563 + 1.90682i 0.0321661 + 0.0989972i
\(372\) −4.02162 + 2.13212i −0.208511 + 0.110545i
\(373\) 2.04089 + 1.48279i 0.105673 + 0.0767762i 0.639367 0.768902i \(-0.279196\pi\)
−0.533694 + 0.845678i \(0.679196\pi\)
\(374\) −2.80459 4.83271i −0.145022 0.249894i
\(375\) −2.21894 19.2374i −0.114586 0.993413i
\(376\) 0.110757 + 16.5102i 0.00571186 + 0.851446i
\(377\) −12.7781 + 17.5876i −0.658107 + 0.905807i
\(378\) −4.37334 + 19.1754i −0.224940 + 0.986275i
\(379\) −26.3233 + 8.55294i −1.35213 + 0.439335i −0.893410 0.449243i \(-0.851694\pi\)
−0.458725 + 0.888578i \(0.651694\pi\)
\(380\) −31.2216 9.41175i −1.60163 0.482813i
\(381\) 2.63704 + 6.63511i 0.135100 + 0.339927i
\(382\) 8.19285 4.75460i 0.419182 0.243267i
\(383\) −6.76658 + 20.8254i −0.345756 + 1.06413i 0.615422 + 0.788198i \(0.288986\pi\)
−0.961178 + 0.275930i \(0.911014\pi\)
\(384\) −18.7820 + 5.58900i −0.958464 + 0.285213i
\(385\) 5.35926 12.6062i 0.273133 0.642474i
\(386\) −7.54514 0.775972i −0.384038 0.0394960i
\(387\) 6.68716 3.16807i 0.339927 0.161042i
\(388\) −1.80907 16.5019i −0.0918416 0.837757i
\(389\) 0.458545 0.631134i 0.0232492 0.0319997i −0.797234 0.603670i \(-0.793704\pi\)
0.820483 + 0.571670i \(0.193704\pi\)
\(390\) 3.60269 + 18.9377i 0.182429 + 0.958949i
\(391\) 8.32016 + 11.4517i 0.420769 + 0.579138i
\(392\) −0.440390 0.139832i −0.0222431 0.00706260i
\(393\) −14.4220 17.3870i −0.727495 0.877059i
\(394\) 24.0793 5.17452i 1.21310 0.260689i
\(395\) 19.7739 11.8665i 0.994933 0.597068i
\(396\) 5.23203 12.6974i 0.262919 0.638070i
\(397\) 8.07064 + 24.8389i 0.405054 + 1.24663i 0.920850 + 0.389917i \(0.127496\pi\)
−0.515796 + 0.856711i \(0.672504\pi\)
\(398\) −0.0799988 + 0.777865i −0.00400998 + 0.0389909i
\(399\) −21.5803 26.0170i −1.08037 1.30248i
\(400\) 19.9817 0.854655i 0.999087 0.0427327i
\(401\) 34.6680i 1.73124i 0.500706 + 0.865618i \(0.333074\pi\)
−0.500706 + 0.865618i \(0.666926\pi\)
\(402\) −1.46076 + 0.977996i −0.0728559 + 0.0487780i
\(403\) −4.39836 + 1.42911i −0.219098 + 0.0711893i
\(404\) −3.33474 + 16.0412i −0.165910 + 0.798078i
\(405\) 8.92696 18.0363i 0.443584 0.896233i
\(406\) 4.91199 + 22.8577i 0.243778 + 1.13441i
\(407\) 21.4528 1.06338
\(408\) 7.83754 3.17597i 0.388016 0.157234i
\(409\) 0.542682 0.394282i 0.0268339 0.0194960i −0.574287 0.818654i \(-0.694721\pi\)
0.601121 + 0.799158i \(0.294721\pi\)
\(410\) 16.8344 + 17.9919i 0.831393 + 0.888556i
\(411\) −14.2536 + 0.915424i −0.703079 + 0.0451546i
\(412\) −24.1918 + 2.65210i −1.19185 + 0.130660i
\(413\) 0.657872 + 0.905483i 0.0323718 + 0.0445559i
\(414\) −9.89408 + 33.3539i −0.486268 + 1.63925i
\(415\) −0.539580 + 6.12842i −0.0264869 + 0.300832i
\(416\) −19.7760 + 2.30236i −0.969598 + 0.112883i
\(417\) 7.40966 + 18.6436i 0.362853 + 0.912981i
\(418\) 11.8470 + 20.4140i 0.579455 + 0.998483i
\(419\) 0.661155 2.03483i 0.0322996 0.0994078i −0.933607 0.358299i \(-0.883357\pi\)
0.965907 + 0.258891i \(0.0833570\pi\)
\(420\) 17.7517 + 10.7088i 0.866195 + 0.522536i
\(421\) −2.38764 7.34841i −0.116367 0.358140i 0.875863 0.482560i \(-0.160293\pi\)
−0.992230 + 0.124420i \(0.960293\pi\)
\(422\) 9.97445 11.1277i 0.485549 0.541687i
\(423\) 12.7344 12.0211i 0.619169 0.584485i
\(424\) 2.11875 0.0142135i 0.102896 0.000690268i
\(425\) −8.54829 + 1.19175i −0.414653 + 0.0578084i
\(426\) −0.0507943 0.0186858i −0.00246099 0.000905331i
\(427\) 12.4271 17.1045i 0.601391 0.827744i
\(428\) −8.68921 1.80637i −0.420009 0.0873142i
\(429\) 7.46099 11.7906i 0.360220 0.569255i
\(430\) −0.963602 7.74016i −0.0464690 0.373264i
\(431\) −10.3765 + 31.9356i −0.499819 + 1.53828i 0.309492 + 0.950902i \(0.399841\pi\)
−0.809310 + 0.587381i \(0.800159\pi\)
\(432\) 17.9154 + 10.5375i 0.861954 + 0.506987i
\(433\) 7.66365 23.5863i 0.368291 1.13348i −0.579603 0.814899i \(-0.696792\pi\)
0.947894 0.318585i \(-0.103208\pi\)
\(434\) −2.01278 + 4.54813i −0.0966166 + 0.218317i
\(435\) 0.566508 23.9158i 0.0271620 1.14668i
\(436\) −28.2730 + 12.7397i −1.35403 + 0.610123i
\(437\) −35.1455 48.3736i −1.68124 2.31402i
\(438\) −13.6228 + 3.85559i −0.650922 + 0.184227i
\(439\) 0.770658 1.06072i 0.0367815 0.0506254i −0.790230 0.612810i \(-0.790039\pi\)
0.827012 + 0.562185i \(0.190039\pi\)
\(440\) −10.9834 9.42967i −0.523614 0.449542i
\(441\) 0.209824 + 0.442897i 0.00999163 + 0.0210903i
\(442\) 8.40017 1.80515i 0.399555 0.0858624i
\(443\) 5.40886 0.256983 0.128491 0.991711i \(-0.458987\pi\)
0.128491 + 0.991711i \(0.458987\pi\)
\(444\) −4.55743 + 32.1466i −0.216286 + 1.52561i
\(445\) −10.0666 + 23.6790i −0.477202 + 1.12249i
\(446\) 0.324436 0.361947i 0.0153625 0.0171387i
\(447\) 14.8589 + 9.40259i 0.702802 + 0.444727i
\(448\) −12.3519 + 17.4896i −0.583571 + 0.826306i
\(449\) 4.98553i 0.235282i 0.993056 + 0.117641i \(0.0375332\pi\)
−0.993056 + 0.117641i \(0.962467\pi\)
\(450\) −15.1081 14.8912i −0.712200 0.701976i
\(451\) 17.8341i 0.839774i
\(452\) −0.266936 0.592404i −0.0125556 0.0278643i
\(453\) 23.5658 + 14.9123i 1.10722 + 0.700639i
\(454\) −13.3514 11.9677i −0.626611 0.561671i
\(455\) 15.8892 + 13.8277i 0.744896 + 0.648251i
\(456\) −33.1068 + 13.4157i −1.55037 + 0.628250i
\(457\) −28.9239 −1.35300 −0.676501 0.736441i \(-0.736505\pi\)
−0.676501 + 0.736441i \(0.736505\pi\)
\(458\) −8.31072 38.6734i −0.388335 1.80709i
\(459\) −8.13078 3.78727i −0.379512 0.176775i
\(460\) 30.1224 + 20.9165i 1.40447 + 0.975236i
\(461\) 12.1101 16.6681i 0.564022 0.776310i −0.427809 0.903869i \(-0.640714\pi\)
0.991831 + 0.127559i \(0.0407143\pi\)
\(462\) −4.08643 14.4384i −0.190118 0.671736i
\(463\) 0.364485 + 0.501670i 0.0169390 + 0.0233146i 0.817403 0.576067i \(-0.195413\pi\)
−0.800463 + 0.599382i \(0.795413\pi\)
\(464\) 24.5939 + 2.36271i 1.14174 + 0.109686i
\(465\) 3.08797 4.04520i 0.143201 0.187592i
\(466\) −3.55201 1.57195i −0.164544 0.0728192i
\(467\) −12.8476 + 39.5410i −0.594518 + 1.82974i −0.0374063 + 0.999300i \(0.511910\pi\)
−0.557112 + 0.830438i \(0.688090\pi\)
\(468\) 16.0830 + 13.6849i 0.743436 + 0.632587i
\(469\) −0.593560 + 1.82679i −0.0274080 + 0.0843533i
\(470\) −7.82940 16.7167i −0.361143 0.771083i
\(471\) −15.6741 + 24.7697i −0.722224 + 1.14133i
\(472\) 1.12243 0.373041i 0.0516639 0.0171706i
\(473\) −3.31838 + 4.56736i −0.152579 + 0.210007i
\(474\) 8.72186 23.7090i 0.400608 1.08899i
\(475\) 36.1091 5.03412i 1.65680 0.230981i
\(476\) 4.58423 8.02276i 0.210118 0.367723i
\(477\) −1.54267 1.63421i −0.0706339 0.0748254i
\(478\) 1.05345 + 0.944271i 0.0481836 + 0.0431900i
\(479\) −2.79806 8.61154i −0.127847 0.393471i 0.866562 0.499069i \(-0.166324\pi\)
−0.994409 + 0.105598i \(0.966324\pi\)
\(480\) 16.4635 14.4552i 0.751452 0.659787i
\(481\) −10.1938 + 31.3732i −0.464797 + 1.43050i
\(482\) 19.0051 11.0293i 0.865658 0.502372i
\(483\) 14.0399 + 35.3262i 0.638839 + 1.60740i
\(484\) −1.25564 11.4537i −0.0570747 0.520621i
\(485\) 9.55043 + 15.9145i 0.433663 + 0.722640i
\(486\) −4.77215 21.5227i −0.216469 0.976290i
\(487\) −8.79857 12.1102i −0.398701 0.548765i 0.561716 0.827330i \(-0.310141\pi\)
−0.960417 + 0.278565i \(0.910141\pi\)
\(488\) −13.2538 17.9872i −0.599970 0.814244i
\(489\) 8.05259 0.517170i 0.364151 0.0233872i
\(490\) 0.512638 0.0638203i 0.0231586 0.00288311i
\(491\) 14.2576 10.3587i 0.643435 0.467483i −0.217593 0.976040i \(-0.569821\pi\)
0.861029 + 0.508556i \(0.169821\pi\)
\(492\) 26.7240 + 3.78866i 1.20481 + 0.170806i
\(493\) −10.6623 −0.480206
\(494\) −35.4835 + 7.62521i −1.59648 + 0.343074i
\(495\) 0.620947 + 15.3415i 0.0279095 + 0.689551i
\(496\) 3.93729 + 3.48189i 0.176790 + 0.156342i
\(497\) −0.0562426 + 0.0182743i −0.00252283 + 0.000819716i
\(498\) 3.74933 + 5.60008i 0.168012 + 0.250946i
\(499\) 37.6563i 1.68573i 0.538127 + 0.842864i \(0.319132\pi\)
−0.538127 + 0.842864i \(0.680868\pi\)
\(500\) −19.8949 + 10.2076i −0.889725 + 0.456496i
\(501\) 14.8073 + 17.8515i 0.661542 + 0.797547i
\(502\) 3.10972 + 0.319816i 0.138794 + 0.0142741i
\(503\) −8.99503 27.6838i −0.401068 1.23436i −0.924134 0.382069i \(-0.875212\pi\)
0.523065 0.852293i \(-0.324788\pi\)
\(504\) 22.5038 3.05615i 1.00240 0.136132i
\(505\) −4.11079 17.8508i −0.182928 0.794350i
\(506\) −5.57673 25.9510i −0.247916 1.15366i
\(507\) −0.677609 0.816917i −0.0300937 0.0362805i
\(508\) 6.10211 5.54398i 0.270738 0.245975i
\(509\) 10.9017 + 15.0049i 0.483209 + 0.665080i 0.979118 0.203295i \(-0.0651650\pi\)
−0.495909 + 0.868375i \(0.665165\pi\)
\(510\) −6.47569 + 6.88896i −0.286748 + 0.305048i
\(511\) −9.09285 + 12.5152i −0.402244 + 0.553642i
\(512\) 13.6658 + 18.0346i 0.603947 + 0.797025i
\(513\) 34.3455 + 15.9980i 1.51639 + 0.706327i
\(514\) 1.87003 18.1832i 0.0824834 0.802024i
\(515\) 23.3307 14.0010i 1.02807 0.616956i
\(516\) −6.13915 5.94282i −0.270261 0.261618i
\(517\) −4.12873 + 12.7069i −0.181581 + 0.558850i
\(518\) 17.8069 + 30.6837i 0.782388 + 1.34817i
\(519\) −10.6627 26.8287i −0.468042 1.17765i
\(520\) 19.0092 11.5818i 0.833611 0.507894i
\(521\) −15.9028 + 5.16714i −0.696715 + 0.226377i −0.635899 0.771772i \(-0.719370\pi\)
−0.0608165 + 0.998149i \(0.519370\pi\)
\(522\) −15.9450 20.7967i −0.697892 0.910248i
\(523\) −14.7263 + 20.2690i −0.643936 + 0.886302i −0.998818 0.0486095i \(-0.984521\pi\)
0.354882 + 0.934911i \(0.384521\pi\)
\(524\) −12.9411 + 22.6480i −0.565336 + 0.989383i
\(525\) −23.0348 2.57912i −1.00532 0.112562i
\(526\) 17.9933 10.4422i 0.784547 0.455300i
\(527\) −1.83504 1.33323i −0.0799355 0.0580765i
\(528\) −15.8497 0.501642i −0.689770 0.0218312i
\(529\) 13.6719 + 42.0776i 0.594428 + 1.82946i
\(530\) −2.14526 + 1.00475i −0.0931839 + 0.0436435i
\(531\) −1.10094 0.601511i −0.0477766 0.0261034i
\(532\) −19.3644 + 33.8892i −0.839553 + 1.46928i
\(533\) 26.0811 + 8.47426i 1.12970 + 0.367061i
\(534\) 7.67578 + 27.1205i 0.332163 + 1.17362i
\(535\) 9.66945 2.22674i 0.418047 0.0962704i
\(536\) 1.65017 + 1.18209i 0.0712764 + 0.0510583i
\(537\) −35.5956 9.08994i −1.53606 0.392260i
\(538\) −22.6765 10.0355i −0.977652 0.432662i
\(539\) −0.302501 0.219780i −0.0130296 0.00946658i
\(540\) −23.1209 2.32867i −0.994966 0.100210i
\(541\) 7.95973 5.78309i 0.342216 0.248634i −0.403380 0.915032i \(-0.632165\pi\)
0.745596 + 0.666398i \(0.232165\pi\)
\(542\) −4.92301 + 1.05793i −0.211461 + 0.0454420i
\(543\) −19.6435 23.6819i −0.842981 1.01629i
\(544\) −6.61466 7.18317i −0.283601 0.307976i
\(545\) 22.7607 26.1539i 0.974960 1.12031i
\(546\) 23.0569 + 0.884614i 0.986746 + 0.0378580i
\(547\) −12.5604 + 4.08111i −0.537043 + 0.174496i −0.564966 0.825114i \(-0.691111\pi\)
0.0279231 + 0.999610i \(0.491111\pi\)
\(548\) 6.77544 + 15.0366i 0.289433 + 0.642330i
\(549\) −4.37987 + 23.2899i −0.186928 + 0.993990i
\(550\) 15.5627 + 4.44350i 0.663596 + 0.189471i
\(551\) 45.0390 1.91873
\(552\) 40.0718 2.84361i 1.70557 0.121032i
\(553\) −8.52980 26.2520i −0.362724 1.11635i
\(554\) −18.1616 16.2794i −0.771614 0.691646i
\(555\) −10.3968 34.7797i −0.441317 1.47632i
\(556\) 17.1460 15.5777i 0.727151 0.660642i
\(557\) 20.6966i 0.876944i 0.898745 + 0.438472i \(0.144480\pi\)
−0.898745 + 0.438472i \(0.855520\pi\)
\(558\) −0.143750 5.57301i −0.00608543 0.235924i
\(559\) −5.10264 7.02318i −0.215819 0.297049i
\(560\) 4.37039 23.5365i 0.184683 0.994600i
\(561\) 6.82927 0.438603i 0.288332 0.0185178i
\(562\) −9.86820 4.36719i −0.416265 0.184219i
\(563\) −33.0338 + 24.0005i −1.39221 + 1.01150i −0.396591 + 0.917995i \(0.629807\pi\)
−0.995619 + 0.0935044i \(0.970193\pi\)
\(564\) −18.1640 8.88628i −0.764842 0.374180i
\(565\) 0.548004 + 0.476905i 0.0230547 + 0.0200635i
\(566\) −25.7898 11.4133i −1.08403 0.479738i
\(567\) −18.6400 15.2573i −0.782805 0.640744i
\(568\) 0.000419234 0.0624937i 1.75907e−5 0.00262218i
\(569\) 6.61041 + 2.14785i 0.277123 + 0.0900426i 0.444281 0.895887i \(-0.353459\pi\)
−0.167158 + 0.985930i \(0.553459\pi\)
\(570\) 27.3542 29.0999i 1.14574 1.21886i
\(571\) 23.5527 7.65273i 0.985649 0.320257i 0.228532 0.973536i \(-0.426607\pi\)
0.757117 + 0.653280i \(0.226607\pi\)
\(572\) −15.7742 3.27925i −0.659553 0.137112i
\(573\) 0.743560 + 11.5776i 0.0310626 + 0.483661i
\(574\) 25.5079 14.8031i 1.06468 0.617871i
\(575\) −40.3701 7.16436i −1.68355 0.298774i
\(576\) 4.11881 23.6439i 0.171617 0.985164i
\(577\) −13.0154 9.45623i −0.541838 0.393668i 0.282929 0.959141i \(-0.408694\pi\)
−0.824767 + 0.565473i \(0.808694\pi\)
\(578\) −14.7644 13.2343i −0.614120 0.550474i
\(579\) 4.96739 7.84997i 0.206438 0.326234i
\(580\) −26.0830 + 9.09559i −1.08304 + 0.377674i
\(581\) 7.00334 + 2.27552i 0.290547 + 0.0944046i
\(582\) 19.0815 + 7.01955i 0.790954 + 0.290970i
\(583\) 1.63068 + 0.529841i 0.0675360 + 0.0219438i
\(584\) 9.69770 + 13.1612i 0.401293 + 0.544612i
\(585\) −22.7310 6.38178i −0.939811 0.263854i
\(586\) 1.55350 15.1054i 0.0641743 0.623997i
\(587\) 8.32167 6.04605i 0.343472 0.249547i −0.402653 0.915353i \(-0.631912\pi\)
0.746125 + 0.665806i \(0.231912\pi\)
\(588\) 0.393599 0.406602i 0.0162317 0.0167680i
\(589\) 7.75144 + 5.63175i 0.319393 + 0.232052i
\(590\) −0.965625 + 0.903504i −0.0397542 + 0.0371967i
\(591\) −7.46345 + 29.2264i −0.307005 + 1.20221i
\(592\) 36.6005 8.12249i 1.50427 0.333832i
\(593\) 3.83939i 0.157665i −0.996888 0.0788325i \(-0.974881\pi\)
0.996888 0.0788325i \(-0.0251192\pi\)
\(594\) 11.0683 + 12.6645i 0.454139 + 0.519632i
\(595\) −0.906073 + 10.2910i −0.0371454 + 0.421888i
\(596\) 4.13262 19.8792i 0.169279 0.814284i
\(597\) −0.809291 0.512113i −0.0331221 0.0209594i
\(598\) 40.6014 + 4.17561i 1.66031 + 0.170753i
\(599\) −46.4231 −1.89680 −0.948399 0.317079i \(-0.897298\pi\)
−0.948399 + 0.317079i \(0.897298\pi\)
\(600\) −9.96463 + 22.3765i −0.406804 + 0.913515i
\(601\) 40.1233 1.63666 0.818332 0.574746i \(-0.194899\pi\)
0.818332 + 0.574746i \(0.194899\pi\)
\(602\) −9.28706 0.955118i −0.378512 0.0389277i
\(603\) −0.275413 2.13532i −0.0112157 0.0869568i
\(604\) 6.55423 31.5279i 0.266688 1.28285i
\(605\) 6.62878 + 11.0460i 0.269498 + 0.449082i
\(606\) −15.7699 12.4084i −0.640609 0.504058i
\(607\) 13.8983i 0.564114i 0.959398 + 0.282057i \(0.0910168\pi\)
−0.959398 + 0.282057i \(0.908983\pi\)
\(608\) 27.9412 + 30.3427i 1.13317 + 1.23056i
\(609\) −27.7436 7.08479i −1.12423 0.287090i
\(610\) 21.8684 + 12.0738i 0.885427 + 0.488853i
\(611\) −16.6211 12.0760i −0.672419 0.488541i
\(612\) −0.793567 + 10.3267i −0.0320781 + 0.417433i
\(613\) −31.0010 + 22.5236i −1.25212 + 0.909719i −0.998343 0.0575441i \(-0.981673\pi\)
−0.253777 + 0.967263i \(0.581673\pi\)
\(614\) 3.72637 36.2333i 0.150384 1.46226i
\(615\) −28.9129 + 8.64299i −1.16588 + 0.348519i
\(616\) −13.9491 + 10.2783i −0.562027 + 0.414125i
\(617\) 22.7574 + 7.39434i 0.916180 + 0.297685i 0.728899 0.684622i \(-0.240033\pi\)
0.187281 + 0.982306i \(0.440033\pi\)
\(618\) 10.2907 27.9735i 0.413952 1.12526i
\(619\) −18.4227 5.98591i −0.740472 0.240594i −0.0855958 0.996330i \(-0.527279\pi\)
−0.654877 + 0.755736i \(0.727279\pi\)
\(620\) −5.62634 1.69606i −0.225959 0.0681154i
\(621\) −31.1748 29.0464i −1.25100 1.16559i
\(622\) −13.8909 12.4513i −0.556974 0.499251i
\(623\) 24.9156 + 18.1022i 0.998221 + 0.725250i
\(624\) 8.26496 22.9407i 0.330863 0.918364i
\(625\) 15.4350 19.6662i 0.617402 0.786648i
\(626\) 34.9735 20.2964i 1.39782 0.811206i
\(627\) −28.8478 + 1.85272i −1.15207 + 0.0739905i
\(628\) 33.1386 + 6.88907i 1.32237 + 0.274904i
\(629\) −15.3873 + 4.99963i −0.613531 + 0.199348i
\(630\) −21.4274 + 13.6223i −0.853689 + 0.542727i
\(631\) −40.4375 13.1389i −1.60979 0.523053i −0.640288 0.768135i \(-0.721185\pi\)
−0.969502 + 0.245082i \(0.921185\pi\)
\(632\) −29.1698 + 0.195683i −1.16031 + 0.00778386i
\(633\) 6.75970 + 17.0082i 0.268674 + 0.676015i
\(634\) 5.63546 + 2.49398i 0.223813 + 0.0990487i
\(635\) −3.60630 + 8.48287i −0.143112 + 0.336632i
\(636\) −1.14038 + 2.33099i −0.0452189 + 0.0924297i
\(637\) 0.465152 0.337953i 0.0184300 0.0133902i
\(638\) 18.2834 + 8.09134i 0.723845 + 0.320339i
\(639\) 0.0482019 0.0455018i 0.00190684 0.00180002i
\(640\) −22.3090 11.9293i −0.881840 0.471548i
\(641\) 17.7437 + 24.4221i 0.700834 + 0.964615i 0.999946 + 0.0103974i \(0.00330964\pi\)
−0.299112 + 0.954218i \(0.596690\pi\)
\(642\) 6.72142 8.54227i 0.265273 0.337137i
\(643\) 23.0968i 0.910848i 0.890275 + 0.455424i \(0.150512\pi\)
−0.890275 + 0.455424i \(0.849488\pi\)
\(644\) 32.4884 29.5169i 1.28022 1.16313i
\(645\) 9.01289 + 3.16633i 0.354882 + 0.124674i
\(646\) −13.2549 11.8812i −0.521508 0.467461i
\(647\) 3.81823 + 11.7513i 0.150110 + 0.461991i 0.997633 0.0687679i \(-0.0219068\pi\)
−0.847523 + 0.530759i \(0.821907\pi\)
\(648\) −21.3289 + 13.8952i −0.837878 + 0.545857i
\(649\) 0.957155 0.0375716
\(650\) −13.8933 + 20.6480i −0.544939 + 0.809879i
\(651\) −3.88892 4.68843i −0.152419 0.183754i
\(652\) −3.82779 8.49492i −0.149908 0.332687i
\(653\) 36.9494 12.0056i 1.44594 0.469816i 0.522199 0.852824i \(-0.325112\pi\)
0.923745 + 0.383008i \(0.125112\pi\)
\(654\) 1.45609 37.9522i 0.0569378 1.48405i
\(655\) 2.55782 29.0511i 0.0999421 1.13512i
\(656\) −6.75236 30.4266i −0.263635 1.18796i
\(657\) 3.20472 17.0411i 0.125028 0.664836i
\(658\) −21.6016 + 4.64207i −0.842119 + 0.180967i
\(659\) 25.6648 18.6466i 0.999759 0.726367i 0.0377226 0.999288i \(-0.487990\pi\)
0.962037 + 0.272921i \(0.0879897\pi\)
\(660\) 16.3321 6.89873i 0.635728 0.268533i
\(661\) 4.99498 + 3.62906i 0.194282 + 0.141154i 0.680674 0.732587i \(-0.261687\pi\)
−0.486392 + 0.873741i \(0.661687\pi\)
\(662\) 33.4059 + 14.7838i 1.29836 + 0.574590i
\(663\) −2.60365 + 10.1957i −0.101117 + 0.395970i
\(664\) 4.53175 6.32623i 0.175866 0.245505i
\(665\) 3.82738 43.4704i 0.148419 1.68571i
\(666\) −32.7627 22.5361i −1.26953 0.873254i
\(667\) −48.1717 15.6519i −1.86521 0.606045i
\(668\) 13.2868 23.2530i 0.514083 0.899687i
\(669\) 0.219871 + 0.553221i 0.00850069 + 0.0213887i
\(670\) −2.22849 0.429283i −0.0860942 0.0165847i
\(671\) −5.58720 17.1956i −0.215691 0.663830i
\(672\) −12.4385 23.0861i −0.479826 0.890564i
\(673\) −34.1691 24.8253i −1.31712 0.956946i −0.999963 0.00857423i \(-0.997271\pi\)
−0.317160 0.948372i \(-0.602729\pi\)
\(674\) 32.1800 18.6752i 1.23953 0.719341i
\(675\) 24.5711 8.44171i 0.945741 0.324922i
\(676\) −0.608029 + 1.06410i −0.0233857 + 0.0409269i
\(677\) −28.5615 + 39.3115i −1.09771 + 1.51086i −0.259315 + 0.965793i \(0.583497\pi\)
−0.838391 + 0.545070i \(0.816503\pi\)
\(678\) 0.795214 + 0.0305096i 0.0305400 + 0.00117171i
\(679\) 21.1282 6.86497i 0.810827 0.263454i
\(680\) 10.0756 + 4.20383i 0.386381 + 0.161209i
\(681\) 20.4070 8.11051i 0.781999 0.310795i
\(682\) 2.13491 + 3.67874i 0.0817498 + 0.140866i
\(683\) 3.75080 11.5438i 0.143520 0.441710i −0.853298 0.521424i \(-0.825401\pi\)
0.996818 + 0.0797145i \(0.0254009\pi\)
\(684\) 3.35214 43.6214i 0.128172 1.66791i
\(685\) −13.9096 12.1049i −0.531458 0.462505i
\(686\) −2.64734 + 25.7414i −0.101076 + 0.982809i
\(687\) 46.9401 + 11.9869i 1.79087 + 0.457330i
\(688\) −3.93216 + 9.04875i −0.149912 + 0.344980i
\(689\) −1.54971 + 2.13299i −0.0590393 + 0.0812606i
\(690\) −39.3695 + 21.6178i −1.49877 + 0.822976i
\(691\) −3.28043 4.51512i −0.124793 0.171763i 0.742049 0.670346i \(-0.233854\pi\)
−0.866842 + 0.498582i \(0.833854\pi\)
\(692\) −24.6736 + 22.4168i −0.937949 + 0.852159i
\(693\) 18.0614 + 3.39659i 0.686095 + 0.129026i
\(694\) −0.407990 1.89856i −0.0154871 0.0720683i
\(695\) −10.1331 + 23.8355i −0.384371 + 0.904132i
\(696\) −16.0088 + 25.6784i −0.606813 + 0.973336i
\(697\) 4.15627 + 12.7917i 0.157430 + 0.484520i
\(698\) 8.50860 + 0.875058i 0.322055 + 0.0331214i
\(699\) 3.66159 3.03718i 0.138494 0.114877i
\(700\) 6.56231 + 25.9475i 0.248032 + 0.980723i
\(701\) 17.6170i 0.665384i 0.943036 + 0.332692i \(0.107957\pi\)
−0.943036 + 0.332692i \(0.892043\pi\)
\(702\) −23.7803 + 10.1688i −0.897531 + 0.383798i
\(703\) 64.9980 21.1191i 2.45144 0.796523i
\(704\) 5.89149 + 17.3372i 0.222044 + 0.653419i
\(705\) 22.6016 + 0.535377i 0.851227 + 0.0201635i
\(706\) −11.4781 + 2.46658i −0.431983 + 0.0928309i
\(707\) −21.9256 −0.824597
\(708\) −0.203338 + 1.43428i −0.00764189 + 0.0539035i
\(709\) 7.54144 5.47917i 0.283225 0.205775i −0.437098 0.899414i \(-0.643994\pi\)
0.720323 + 0.693639i \(0.243994\pi\)
\(710\) −0.0296356 0.0632754i −0.00111220 0.00237468i
\(711\) 21.2386 + 22.4989i 0.796509 + 0.843775i
\(712\) 26.2015 19.3063i 0.981941 0.723536i
\(713\) −6.33345 8.71724i −0.237189 0.326463i
\(714\) 6.29595 + 9.40377i 0.235620 + 0.351927i
\(715\) 17.5537 4.04238i 0.656472 0.151176i
\(716\) 4.62287 + 42.1687i 0.172765 + 1.57592i
\(717\) −1.61015 + 0.639934i −0.0601322 + 0.0238988i
\(718\) −13.2577 + 7.69390i −0.494772 + 0.287134i
\(719\) −1.78258 + 5.48623i −0.0664792 + 0.204602i −0.978778 0.204923i \(-0.934306\pi\)
0.912299 + 0.409525i \(0.134306\pi\)
\(720\) 6.86803 + 25.9390i 0.255956 + 0.966688i
\(721\) −10.0641 30.9740i −0.374806 1.15353i
\(722\) 35.9821 + 32.2530i 1.33912 + 1.20033i
\(723\) 1.72485 + 26.8567i 0.0641478 + 0.998813i
\(724\) −17.6264 + 30.8476i −0.655080 + 1.14644i
\(725\) 22.2397 21.4292i 0.825961 0.795859i
\(726\) 13.2441 + 4.87215i 0.491536 + 0.180822i
\(727\) −11.1238 + 15.3106i −0.412559 + 0.567839i −0.963840 0.266481i \(-0.914139\pi\)
0.551281 + 0.834320i \(0.314139\pi\)
\(728\) −8.40307 25.2836i −0.311439 0.937073i
\(729\) 26.2035 + 6.50980i 0.970499 + 0.241104i
\(730\) −16.0010 8.83431i −0.592223 0.326972i
\(731\) 1.31571 4.04935i 0.0486634 0.149771i
\(732\) 26.9543 4.71928i 0.996259 0.174430i
\(733\) 1.69847 5.22735i 0.0627343 0.193076i −0.914777 0.403959i \(-0.867634\pi\)
0.977511 + 0.210883i \(0.0676338\pi\)
\(734\) 11.5989 + 5.13311i 0.428123 + 0.189467i
\(735\) −0.209709 + 0.596933i −0.00773524 + 0.0220182i
\(736\) −19.3400 42.1633i −0.712882 1.55416i
\(737\) 0.965518 + 1.32892i 0.0355653 + 0.0489514i
\(738\) −18.7346 + 27.2361i −0.689630 + 1.00258i
\(739\) −19.9136 + 27.4088i −0.732535 + 1.00825i 0.266478 + 0.963841i \(0.414140\pi\)
−0.999014 + 0.0444072i \(0.985860\pi\)
\(740\) −33.3766 + 25.3568i −1.22695 + 0.932134i
\(741\) 10.9982 43.0682i 0.404028 1.58215i
\(742\) 0.595719 + 2.77214i 0.0218695 + 0.101768i
\(743\) 30.2559 1.10998 0.554990 0.831857i \(-0.312722\pi\)
0.554990 + 0.831857i \(0.312722\pi\)
\(744\) −5.96607 + 2.41761i −0.218727 + 0.0886337i
\(745\) 5.09435 + 22.1218i 0.186642 + 0.810480i
\(746\) 2.65658 + 2.38126i 0.0972644 + 0.0871842i
\(747\) −8.18613 + 1.05585i −0.299515 + 0.0386315i
\(748\) −3.24629 7.20440i −0.118696 0.263419i
\(749\) 11.8767i 0.433965i
\(750\) −0.338328 27.3840i −0.0123540 0.999924i
\(751\) 12.7543i 0.465412i −0.972547 0.232706i \(-0.925242\pi\)
0.972547 0.232706i \(-0.0747580\pi\)
\(752\) −2.23288 + 23.2424i −0.0814248 + 0.847563i
\(753\) −2.04730 + 3.23535i −0.0746079 + 0.117903i
\(754\) −20.5208 + 22.8934i −0.747322 + 0.833727i
\(755\) 8.07950 + 35.0846i 0.294043 + 1.27686i
\(756\) −8.92668 + 26.3431i −0.324660 + 0.958088i
\(757\) −11.9898 −0.435777 −0.217889 0.975974i \(-0.569917\pi\)
−0.217889 + 0.975974i \(0.569917\pi\)
\(758\) −38.2688 + 8.22377i −1.38999 + 0.298701i
\(759\) 31.4981 + 8.04357i 1.14331 + 0.291963i
\(760\) −42.5607 17.7575i −1.54384 0.644133i
\(761\) −5.47624 + 7.53739i −0.198513 + 0.273230i −0.896655 0.442729i \(-0.854010\pi\)
0.698142 + 0.715959i \(0.254010\pi\)
\(762\) 2.74980 + 9.71576i 0.0996148 + 0.351965i
\(763\) −24.3926 33.5735i −0.883072 1.21544i
\(764\) 12.2135 5.50340i 0.441870 0.199106i
\(765\) −4.02076 10.8592i −0.145371 0.392615i
\(766\) −12.5322 + 28.3180i −0.452807 + 1.02317i
\(767\) −0.454814 + 1.39977i −0.0164224 + 0.0505428i
\(768\) −27.2310 + 5.14519i −0.982614 + 0.185661i
\(769\) 5.08185 15.6403i 0.183256 0.564005i −0.816658 0.577122i \(-0.804176\pi\)
0.999914 + 0.0131176i \(0.00417559\pi\)
\(770\) 9.36324 16.9590i 0.337428 0.611160i
\(771\) 18.9178 + 11.9710i 0.681306 + 0.431125i
\(772\) −10.5022 2.18327i −0.377982 0.0785774i
\(773\) 12.8718 17.7165i 0.462966 0.637219i −0.512154 0.858893i \(-0.671152\pi\)
0.975121 + 0.221675i \(0.0711524\pi\)