Properties

Label 576.2.bm.a.205.89
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.89
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.89

$q$-expansion

\(f(q)\) \(=\) \(q+(1.38975 - 0.261905i) q^{2} +(1.70060 + 0.328562i) q^{3} +(1.86281 - 0.727965i) q^{4} +(0.232101 + 0.264660i) q^{5} +(2.44946 + 0.0112231i) q^{6} +(-2.67566 - 0.352258i) q^{7} +(2.39819 - 1.49957i) q^{8} +(2.78409 + 1.11751i) q^{9} +O(q^{10})\) \(q+(1.38975 - 0.261905i) q^{2} +(1.70060 + 0.328562i) q^{3} +(1.86281 - 0.727965i) q^{4} +(0.232101 + 0.264660i) q^{5} +(2.44946 + 0.0112231i) q^{6} +(-2.67566 - 0.352258i) q^{7} +(2.39819 - 1.49957i) q^{8} +(2.78409 + 1.11751i) q^{9} +(0.391878 + 0.307023i) q^{10} +(1.81344 + 3.67730i) q^{11} +(3.40708 - 0.625929i) q^{12} +(0.566790 + 1.66971i) q^{13} +(-3.81076 + 0.211219i) q^{14} +(0.307754 + 0.526341i) q^{15} +(2.94013 - 2.71212i) q^{16} +(-4.32588 - 4.32588i) q^{17} +(4.16188 + 0.823886i) q^{18} +(-0.761827 + 3.82996i) q^{19} +(0.625024 + 0.324051i) q^{20} +(-4.43450 - 1.47817i) q^{21} +(3.48333 + 4.63557i) q^{22} +(-0.977017 - 7.42118i) q^{23} +(4.57106 - 1.76222i) q^{24} +(0.636457 - 4.83437i) q^{25} +(1.22500 + 2.17204i) q^{26} +(4.36747 + 2.81518i) q^{27} +(-5.24069 + 1.29160i) q^{28} +(-3.98656 + 0.261293i) q^{29} +(0.565552 + 0.650881i) q^{30} +(2.59062 - 1.49570i) q^{31} +(3.37574 - 4.53921i) q^{32} +(1.87572 + 6.84944i) q^{33} +(-7.14487 - 4.87893i) q^{34} +(-0.527795 - 0.789902i) q^{35} +(5.99975 + 0.0549810i) q^{36} +(-1.86303 - 9.36607i) q^{37} +(-0.0556635 + 5.52222i) q^{38} +(0.415282 + 3.02574i) q^{39} +(0.953497 + 0.286653i) q^{40} +(1.21167 + 9.20357i) q^{41} +(-6.54999 - 0.892872i) q^{42} +(-9.03235 + 4.45426i) q^{43} +(6.05504 + 5.52999i) q^{44} +(0.350431 + 0.996213i) q^{45} +(-3.30145 - 10.0577i) q^{46} +(-7.40035 + 1.98292i) q^{47} +(5.89110 - 3.64622i) q^{48} +(0.273615 + 0.0733148i) q^{49} +(-0.381629 - 6.88526i) q^{50} +(-5.93529 - 8.77793i) q^{51} +(2.27131 + 2.69775i) q^{52} +(-6.62156 + 9.90987i) q^{53} +(6.80700 + 2.76854i) q^{54} +(-0.552333 + 1.33345i) q^{55} +(-6.94498 + 3.16756i) q^{56} +(-2.55394 + 6.26294i) q^{57} +(-5.47189 + 1.40723i) q^{58} +(3.40219 + 3.87946i) q^{59} +(0.956445 + 0.756441i) q^{60} +(0.0222013 + 0.338726i) q^{61} +(3.20859 - 2.75714i) q^{62} +(-7.05565 - 3.97079i) q^{63} +(3.50259 - 7.19249i) q^{64} +(-0.310354 + 0.537548i) q^{65} +(4.40069 + 9.02776i) q^{66} +(1.22976 + 0.606449i) q^{67} +(-11.2074 - 4.90922i) q^{68} +(0.776800 - 12.9415i) q^{69} +(-0.940383 - 0.959534i) q^{70} +(3.87199 + 9.34780i) q^{71} +(8.35255 - 1.49495i) q^{72} +(2.45535 - 5.92774i) q^{73} +(-5.04216 - 12.5286i) q^{74} +(2.67075 - 8.01222i) q^{75} +(1.36894 + 7.68908i) q^{76} +(-3.55680 - 10.4780i) q^{77} +(1.36959 + 4.09626i) q^{78} +(-1.82557 - 6.81312i) q^{79} +(1.40020 + 0.148651i) q^{80} +(6.50236 + 6.22248i) q^{81} +(4.09438 + 12.4733i) q^{82} +(11.0581 + 9.69770i) q^{83} +(-9.33670 + 0.474605i) q^{84} +(0.140848 - 2.14893i) q^{85} +(-11.3861 + 8.55593i) q^{86} +(-6.86541 - 0.865477i) q^{87} +(9.86333 + 6.09946i) q^{88} +(12.8688 - 5.33045i) q^{89} +(0.747925 + 1.29271i) q^{90} +(-0.928372 - 4.66724i) q^{91} +(-7.22235 - 13.1130i) q^{92} +(4.89704 - 1.69240i) q^{93} +(-9.76530 + 4.69395i) q^{94} +(-1.19046 + 0.687313i) q^{95} +(7.23219 - 6.61025i) q^{96} +(-10.8241 - 6.24928i) q^{97} +(0.399458 + 0.0302283i) q^{98} +(0.939392 + 12.2645i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.38975 0.261905i 0.982702 0.185195i
\(3\) 1.70060 + 0.328562i 0.981843 + 0.189695i
\(4\) 1.86281 0.727965i 0.931406 0.363982i
\(5\) 0.232101 + 0.264660i 0.103799 + 0.118360i 0.801406 0.598120i \(-0.204085\pi\)
−0.697608 + 0.716480i \(0.745752\pi\)
\(6\) 2.44946 + 0.0112231i 0.999990 + 0.00458179i
\(7\) −2.67566 0.352258i −1.01131 0.133141i −0.393379 0.919376i \(-0.628694\pi\)
−0.617927 + 0.786235i \(0.712027\pi\)
\(8\) 2.39819 1.49957i 0.847887 0.530178i
\(9\) 2.78409 + 1.11751i 0.928031 + 0.372502i
\(10\) 0.391878 + 0.307023i 0.123923 + 0.0970893i
\(11\) 1.81344 + 3.67730i 0.546773 + 1.10875i 0.978405 + 0.206697i \(0.0662713\pi\)
−0.431632 + 0.902050i \(0.642062\pi\)
\(12\) 3.40708 0.625929i 0.983540 0.180690i
\(13\) 0.566790 + 1.66971i 0.157199 + 0.463094i 0.996784 0.0801345i \(-0.0255350\pi\)
−0.839585 + 0.543229i \(0.817202\pi\)
\(14\) −3.81076 + 0.211219i −1.01847 + 0.0564506i
\(15\) 0.307754 + 0.526341i 0.0794617 + 0.135901i
\(16\) 2.94013 2.71212i 0.735034 0.678031i
\(17\) −4.32588 4.32588i −1.04918 1.04918i −0.998726 0.0504548i \(-0.983933\pi\)
−0.0504548 0.998726i \(-0.516067\pi\)
\(18\) 4.16188 + 0.823886i 0.980964 + 0.194192i
\(19\) −0.761827 + 3.82996i −0.174775 + 0.878654i 0.789500 + 0.613751i \(0.210340\pi\)
−0.964275 + 0.264903i \(0.914660\pi\)
\(20\) 0.625024 + 0.324051i 0.139760 + 0.0724600i
\(21\) −4.43450 1.47817i −0.967688 0.322564i
\(22\) 3.48333 + 4.63557i 0.742649 + 0.988308i
\(23\) −0.977017 7.42118i −0.203722 1.54742i −0.721808 0.692094i \(-0.756688\pi\)
0.518086 0.855329i \(-0.326645\pi\)
\(24\) 4.57106 1.76222i 0.933064 0.359711i
\(25\) 0.636457 4.83437i 0.127291 0.966874i
\(26\) 1.22500 + 2.17204i 0.240243 + 0.425971i
\(27\) 4.36747 + 2.81518i 0.840519 + 0.541782i
\(28\) −5.24069 + 1.29160i −0.990397 + 0.244089i
\(29\) −3.98656 + 0.261293i −0.740286 + 0.0485209i −0.430880 0.902409i \(-0.641797\pi\)
−0.309406 + 0.950930i \(0.600130\pi\)
\(30\) 0.565552 + 0.650881i 0.103255 + 0.118834i
\(31\) 2.59062 1.49570i 0.465289 0.268635i −0.248976 0.968510i \(-0.580094\pi\)
0.714266 + 0.699875i \(0.246761\pi\)
\(32\) 3.37574 4.53921i 0.596751 0.802426i
\(33\) 1.87572 + 6.84944i 0.326521 + 1.19234i
\(34\) −7.14487 4.87893i −1.22534 0.836729i
\(35\) −0.527795 0.789902i −0.0892137 0.133518i
\(36\) 5.99975 + 0.0549810i 0.999958 + 0.00916349i
\(37\) −1.86303 9.36607i −0.306280 1.53977i −0.760770 0.649021i \(-0.775179\pi\)
0.454491 0.890752i \(-0.349821\pi\)
\(38\) −0.0556635 + 5.52222i −0.00902981 + 0.895822i
\(39\) 0.415282 + 3.02574i 0.0664983 + 0.484506i
\(40\) 0.953497 + 0.286653i 0.150761 + 0.0453239i
\(41\) 1.21167 + 9.20357i 0.189232 + 1.43736i 0.777598 + 0.628762i \(0.216438\pi\)
−0.588366 + 0.808594i \(0.700229\pi\)
\(42\) −6.54999 0.892872i −1.01069 0.137773i
\(43\) −9.03235 + 4.45426i −1.37742 + 0.679269i −0.972026 0.234873i \(-0.924533\pi\)
−0.405395 + 0.914142i \(0.632866\pi\)
\(44\) 6.05504 + 5.52999i 0.912832 + 0.833677i
\(45\) 0.350431 + 0.996213i 0.0522392 + 0.148507i
\(46\) −3.30145 10.0577i −0.486772 1.48293i
\(47\) −7.40035 + 1.98292i −1.07945 + 0.289238i −0.754371 0.656448i \(-0.772058\pi\)
−0.325080 + 0.945686i \(0.605391\pi\)
\(48\) 5.89110 3.64622i 0.850307 0.526287i
\(49\) 0.273615 + 0.0733148i 0.0390878 + 0.0104735i
\(50\) −0.381629 6.88526i −0.0539704 0.973722i
\(51\) −5.93529 8.77793i −0.831106 1.22916i
\(52\) 2.27131 + 2.69775i 0.314975 + 0.374111i
\(53\) −6.62156 + 9.90987i −0.909542 + 1.36123i 0.0228357 + 0.999739i \(0.492731\pi\)
−0.932377 + 0.361486i \(0.882269\pi\)
\(54\) 6.80700 + 2.76854i 0.926315 + 0.376750i
\(55\) −0.552333 + 1.33345i −0.0744765 + 0.179802i
\(56\) −6.94498 + 3.16756i −0.928061 + 0.423283i
\(57\) −2.55394 + 6.26294i −0.338278 + 0.829546i
\(58\) −5.47189 + 1.40723i −0.718495 + 0.184779i
\(59\) 3.40219 + 3.87946i 0.442928 + 0.505062i 0.929624 0.368509i \(-0.120132\pi\)
−0.486696 + 0.873571i \(0.661798\pi\)
\(60\) 0.956445 + 0.756441i 0.123477 + 0.0976561i
\(61\) 0.0222013 + 0.338726i 0.00284259 + 0.0433695i 0.999045 0.0437029i \(-0.0139155\pi\)
−0.996202 + 0.0870724i \(0.972249\pi\)
\(62\) 3.20859 2.75714i 0.407491 0.350157i
\(63\) −7.05565 3.97079i −0.888929 0.500273i
\(64\) 3.50259 7.19249i 0.437824 0.899061i
\(65\) −0.310354 + 0.537548i −0.0384946 + 0.0666746i
\(66\) 4.40069 + 9.02776i 0.541687 + 1.11124i
\(67\) 1.22976 + 0.606449i 0.150239 + 0.0740895i 0.515854 0.856677i \(-0.327475\pi\)
−0.365615 + 0.930766i \(0.619141\pi\)
\(68\) −11.2074 4.90922i −1.35910 0.595330i
\(69\) 0.776800 12.9415i 0.0935157 1.55797i
\(70\) −0.940383 0.959534i −0.112397 0.114686i
\(71\) 3.87199 + 9.34780i 0.459520 + 1.10938i 0.968592 + 0.248656i \(0.0799888\pi\)
−0.509072 + 0.860724i \(0.670011\pi\)
\(72\) 8.35255 1.49495i 0.984358 0.176182i
\(73\) 2.45535 5.92774i 0.287377 0.693790i −0.712593 0.701578i \(-0.752479\pi\)
0.999970 + 0.00778844i \(0.00247916\pi\)
\(74\) −5.04216 12.5286i −0.586139 1.45642i
\(75\) 2.67075 8.01222i 0.308391 0.925172i
\(76\) 1.36894 + 7.68908i 0.157028 + 0.881999i
\(77\) −3.55680 10.4780i −0.405336 1.19408i
\(78\) 1.36959 + 4.09626i 0.155076 + 0.463810i
\(79\) −1.82557 6.81312i −0.205393 0.766536i −0.989329 0.145695i \(-0.953458\pi\)
0.783937 0.620841i \(-0.213209\pi\)
\(80\) 1.40020 + 0.148651i 0.156547 + 0.0166197i
\(81\) 6.50236 + 6.22248i 0.722485 + 0.691387i
\(82\) 4.09438 + 12.4733i 0.452149 + 1.37745i
\(83\) 11.0581 + 9.69770i 1.21378 + 1.06446i 0.996081 + 0.0884454i \(0.0281899\pi\)
0.217703 + 0.976015i \(0.430143\pi\)
\(84\) −9.33670 + 0.474605i −1.01872 + 0.0517836i
\(85\) 0.140848 2.14893i 0.0152772 0.233084i
\(86\) −11.3861 + 8.55593i −1.22780 + 0.922610i
\(87\) −6.86541 0.865477i −0.736049 0.0927889i
\(88\) 9.86333 + 6.09946i 1.05143 + 0.650204i
\(89\) 12.8688 5.33045i 1.36409 0.565026i 0.423913 0.905703i \(-0.360656\pi\)
0.940180 + 0.340677i \(0.110656\pi\)
\(90\) 0.747925 + 1.29271i 0.0788382 + 0.136263i
\(91\) −0.928372 4.66724i −0.0973198 0.489260i
\(92\) −7.22235 13.1130i −0.752982 1.36713i
\(93\) 4.89704 1.69240i 0.507800 0.175494i
\(94\) −9.76530 + 4.69395i −1.00721 + 0.484143i
\(95\) −1.19046 + 0.687313i −0.122139 + 0.0705168i
\(96\) 7.23219 6.61025i 0.738133 0.674656i
\(97\) −10.8241 6.24928i −1.09902 0.634518i −0.163055 0.986617i \(-0.552135\pi\)
−0.935963 + 0.352099i \(0.885468\pi\)
\(98\) 0.399458 + 0.0302283i 0.0403513 + 0.00305352i
\(99\) 0.939392 + 12.2645i 0.0944125 + 1.23263i
\(100\) −2.33365 9.46884i −0.233365 0.946884i
\(101\) 2.13607 + 0.725099i 0.212547 + 0.0721501i 0.425682 0.904873i \(-0.360034\pi\)
−0.213135 + 0.977023i \(0.568367\pi\)
\(102\) −10.5475 10.6446i −1.04436 1.05398i
\(103\) 3.13957 + 2.40908i 0.309351 + 0.237374i 0.751755 0.659442i \(-0.229208\pi\)
−0.442404 + 0.896816i \(0.645874\pi\)
\(104\) 3.86311 + 3.15433i 0.378809 + 0.309308i
\(105\) −0.638038 1.51672i −0.0622662 0.148017i
\(106\) −6.60688 + 15.5065i −0.641717 + 1.50612i
\(107\) 1.58968 + 1.06219i 0.153680 + 0.102686i 0.630033 0.776569i \(-0.283041\pi\)
−0.476353 + 0.879254i \(0.658041\pi\)
\(108\) 10.1851 + 2.06479i 0.980064 + 0.198684i
\(109\) −0.468615 + 2.35589i −0.0448852 + 0.225653i −0.996717 0.0809686i \(-0.974199\pi\)
0.951831 + 0.306622i \(0.0991987\pi\)
\(110\) −0.418368 + 1.99782i −0.0398898 + 0.190485i
\(111\) −0.0909343 16.5401i −0.00863110 1.56991i
\(112\) −8.82218 + 6.22104i −0.833618 + 0.587833i
\(113\) −8.53256 2.28629i −0.802675 0.215076i −0.165917 0.986140i \(-0.553058\pi\)
−0.636758 + 0.771064i \(0.719725\pi\)
\(114\) −1.90905 + 9.37281i −0.178799 + 0.877844i
\(115\) 1.73732 1.98104i 0.162006 0.184733i
\(116\) −7.23600 + 3.38882i −0.671846 + 0.314644i
\(117\) −0.287914 + 5.28202i −0.0266176 + 0.488323i
\(118\) 5.74425 + 4.50043i 0.528801 + 0.414298i
\(119\) 10.0508 + 13.0984i 0.921354 + 1.20073i
\(120\) 1.52734 + 0.800766i 0.139426 + 0.0730996i
\(121\) −3.53756 + 4.61023i −0.321596 + 0.419112i
\(122\) 0.119568 + 0.464931i 0.0108252 + 0.0420928i
\(123\) −0.963369 + 16.0497i −0.0868640 + 1.44715i
\(124\) 3.73702 4.67208i 0.335595 0.419565i
\(125\) 2.89064 1.93147i 0.258547 0.172756i
\(126\) −10.8456 3.67050i −0.966200 0.326994i
\(127\) −2.09364 −0.185780 −0.0928902 0.995676i \(-0.529611\pi\)
−0.0928902 + 0.995676i \(0.529611\pi\)
\(128\) 2.98398 10.9131i 0.263749 0.964591i
\(129\) −16.8239 + 4.60724i −1.48127 + 0.405645i
\(130\) −0.290527 + 0.828341i −0.0254809 + 0.0726503i
\(131\) 4.30116 + 2.12110i 0.375794 + 0.185321i 0.620371 0.784309i \(-0.286982\pi\)
−0.244576 + 0.969630i \(0.578649\pi\)
\(132\) 8.48027 + 11.3938i 0.738113 + 0.991700i
\(133\) 3.38753 9.97934i 0.293736 0.865318i
\(134\) 1.86789 + 0.520733i 0.161361 + 0.0449845i
\(135\) 0.268626 + 1.80930i 0.0231197 + 0.155720i
\(136\) −16.8612 3.88731i −1.44584 0.333334i
\(137\) −13.3421 17.3878i −1.13989 1.48554i −0.848703 0.528870i \(-0.822616\pi\)
−0.291189 0.956665i \(-0.594051\pi\)
\(138\) −2.30988 18.1889i −0.196630 1.54834i
\(139\) 1.54844 + 0.101490i 0.131337 + 0.00860828i 0.130930 0.991392i \(-0.458204\pi\)
0.000407156 1.00000i \(0.499870\pi\)
\(140\) −1.55820 1.08722i −0.131692 0.0918870i
\(141\) −13.2366 + 0.940681i −1.11472 + 0.0792196i
\(142\) 7.82933 + 11.9770i 0.657023 + 1.00509i
\(143\) −5.11218 + 5.11218i −0.427502 + 0.427502i
\(144\) 11.2164 4.26519i 0.934702 0.355432i
\(145\) −0.994439 0.994439i −0.0825836 0.0825836i
\(146\) 1.85982 8.88115i 0.153920 0.735009i
\(147\) 0.441221 + 0.214579i 0.0363913 + 0.0176982i
\(148\) −10.2886 16.0910i −0.845721 1.32267i
\(149\) −0.242506 + 3.69993i −0.0198669 + 0.303110i 0.976349 + 0.216199i \(0.0693661\pi\)
−0.996216 + 0.0869106i \(0.972301\pi\)
\(150\) 1.61323 11.8345i 0.131720 0.966280i
\(151\) 10.3656 7.95381i 0.843541 0.647272i −0.0938359 0.995588i \(-0.529913\pi\)
0.937377 + 0.348316i \(0.113246\pi\)
\(152\) 3.91629 + 10.3274i 0.317653 + 0.837661i
\(153\) −7.20947 16.8779i −0.582851 1.36450i
\(154\) −7.68731 13.6303i −0.619461 1.09836i
\(155\) 0.997136 + 0.338482i 0.0800919 + 0.0271875i
\(156\) 2.97622 + 5.33407i 0.238288 + 0.427067i
\(157\) 10.4248 21.1394i 0.831991 1.68711i 0.111374 0.993779i \(-0.464475\pi\)
0.720617 0.693333i \(-0.243858\pi\)
\(158\) −4.32148 8.99041i −0.343798 0.715239i
\(159\) −14.5167 + 14.6772i −1.15125 + 1.16397i
\(160\) 1.98486 0.160131i 0.156917 0.0126595i
\(161\) 20.2007i 1.59204i
\(162\) 10.6664 + 6.94470i 0.838028 + 0.545627i
\(163\) 2.89219 + 4.32847i 0.226534 + 0.339032i 0.927273 0.374386i \(-0.122146\pi\)
−0.700739 + 0.713417i \(0.747146\pi\)
\(164\) 8.95699 + 16.2625i 0.699424 + 1.26989i
\(165\) −1.37742 + 2.08619i −0.107232 + 0.162410i
\(166\) 17.9079 + 10.5812i 1.38992 + 0.821261i
\(167\) 13.6489 + 10.4732i 1.05618 + 0.810439i 0.982391 0.186834i \(-0.0598228\pi\)
0.0737934 + 0.997274i \(0.476489\pi\)
\(168\) −12.8514 + 3.10491i −0.991505 + 0.239549i
\(169\) 7.84691 6.02115i 0.603609 0.463165i
\(170\) −0.367071 3.02337i −0.0281531 0.231882i
\(171\) −6.40101 + 9.81163i −0.489497 + 0.750314i
\(172\) −13.5830 + 14.8727i −1.03570 + 1.13403i
\(173\) −4.24652 3.72410i −0.322857 0.283138i 0.482540 0.875874i \(-0.339714\pi\)
−0.805397 + 0.592736i \(0.798048\pi\)
\(174\) −9.76788 + 0.595287i −0.740501 + 0.0451286i
\(175\) −3.40589 + 12.7110i −0.257461 + 0.960858i
\(176\) 15.3050 + 5.89347i 1.15366 + 0.444237i
\(177\) 4.51113 + 7.71525i 0.339078 + 0.579913i
\(178\) 16.4884 10.7784i 1.23586 0.807875i
\(179\) 3.07469 + 0.611594i 0.229813 + 0.0457127i 0.308653 0.951175i \(-0.400122\pi\)
−0.0788402 + 0.996887i \(0.525122\pi\)
\(180\) 1.37800 + 1.60066i 0.102710 + 0.119306i
\(181\) 5.39524 8.07455i 0.401025 0.600176i −0.574916 0.818213i \(-0.694965\pi\)
0.975941 + 0.218036i \(0.0699652\pi\)
\(182\) −2.51258 6.24315i −0.186245 0.462773i
\(183\) −0.0735370 + 0.583333i −0.00543601 + 0.0431212i
\(184\) −13.4716 16.3323i −0.993142 1.20403i
\(185\) 2.04642 2.66694i 0.150456 0.196078i
\(186\) 6.36242 3.63458i 0.466515 0.266500i
\(187\) 8.06282 23.7523i 0.589612 1.73694i
\(188\) −12.3420 + 9.08099i −0.900130 + 0.662299i
\(189\) −10.6942 9.07095i −0.777889 0.659815i
\(190\) −1.47443 + 1.26698i −0.106967 + 0.0919164i
\(191\) −12.4674 + 21.5941i −0.902106 + 1.56249i −0.0773504 + 0.997004i \(0.524646\pi\)
−0.824756 + 0.565489i \(0.808687\pi\)
\(192\) 8.31969 11.0807i 0.600422 0.799684i
\(193\) 8.54589 + 14.8019i 0.615147 + 1.06547i 0.990359 + 0.138526i \(0.0442365\pi\)
−0.375212 + 0.926939i \(0.622430\pi\)
\(194\) −16.6795 5.85006i −1.19752 0.420010i
\(195\) −0.704406 + 0.812185i −0.0504435 + 0.0581618i
\(196\) 0.563063 0.0626101i 0.0402188 0.00447215i
\(197\) −8.01575 + 1.59443i −0.571099 + 0.113599i −0.472188 0.881498i \(-0.656536\pi\)
−0.0989104 + 0.995096i \(0.531536\pi\)
\(198\) 4.51764 + 16.7985i 0.321055 + 1.19382i
\(199\) 5.70400 + 13.7707i 0.404346 + 0.976176i 0.986598 + 0.163169i \(0.0521714\pi\)
−0.582253 + 0.813008i \(0.697829\pi\)
\(200\) −5.72313 12.5481i −0.404686 0.887286i
\(201\) 1.89207 + 1.43538i 0.133456 + 0.101244i
\(202\) 3.15852 + 0.448259i 0.222232 + 0.0315394i
\(203\) 10.7587 + 0.705166i 0.755116 + 0.0494929i
\(204\) −17.4463 12.0309i −1.22149 0.842335i
\(205\) −2.15459 + 2.45684i −0.150483 + 0.171593i
\(206\) 4.99417 + 2.52575i 0.347961 + 0.175977i
\(207\) 5.57310 21.7531i 0.387357 1.51194i
\(208\) 6.19490 + 3.37197i 0.429539 + 0.233804i
\(209\) −15.4654 + 4.14395i −1.06977 + 0.286643i
\(210\) −1.28395 1.94076i −0.0886010 0.133925i
\(211\) 7.48430 2.54058i 0.515240 0.174901i −0.0516948 0.998663i \(-0.516462\pi\)
0.566935 + 0.823762i \(0.308129\pi\)
\(212\) −5.12069 + 23.2805i −0.351691 + 1.59891i
\(213\) 3.51338 + 17.1691i 0.240733 + 1.17641i
\(214\) 2.48745 + 1.05983i 0.170039 + 0.0724487i
\(215\) −3.27528 1.35667i −0.223373 0.0925239i
\(216\) 14.6956 + 0.202009i 0.999906 + 0.0137450i
\(217\) −7.45850 + 3.08941i −0.506316 + 0.209723i
\(218\) −0.0342397 + 3.39683i −0.00231901 + 0.230062i
\(219\) 6.12320 9.27399i 0.413768 0.626678i
\(220\) −0.0581880 + 2.88604i −0.00392304 + 0.194577i
\(221\) 4.77110 9.67484i 0.320939 0.650800i
\(222\) −4.45830 22.9628i −0.299222 1.54116i
\(223\) −8.74885 5.05115i −0.585866 0.338250i 0.177595 0.984104i \(-0.443168\pi\)
−0.763461 + 0.645854i \(0.776502\pi\)
\(224\) −10.6313 + 10.9563i −0.710334 + 0.732047i
\(225\) 7.17439 12.7481i 0.478293 0.849873i
\(226\) −12.4569 0.942656i −0.828621 0.0627046i
\(227\) −1.69175 + 0.110883i −0.112285 + 0.00735958i −0.121442 0.992598i \(-0.538752\pi\)
0.00915681 + 0.999958i \(0.497085\pi\)
\(228\) −0.198322 + 13.5259i −0.0131342 + 0.895772i
\(229\) 6.06337 5.31743i 0.400679 0.351386i −0.435167 0.900350i \(-0.643311\pi\)
0.835846 + 0.548964i \(0.184978\pi\)
\(230\) 1.89560 3.20816i 0.124992 0.211540i
\(231\) −2.60604 18.9876i −0.171465 1.24929i
\(232\) −9.16869 + 6.60475i −0.601954 + 0.433623i
\(233\) 4.84660 + 2.00753i 0.317511 + 0.131518i 0.535747 0.844379i \(-0.320030\pi\)
−0.218236 + 0.975896i \(0.570030\pi\)
\(234\) 0.983259 + 7.41610i 0.0642777 + 0.484805i
\(235\) −2.24243 1.49834i −0.146280 0.0977410i
\(236\) 9.16175 + 4.75002i 0.596379 + 0.309200i
\(237\) −0.866037 12.1862i −0.0562551 0.791580i
\(238\) 17.3986 + 15.5712i 1.12779 + 1.00933i
\(239\) 3.95232 14.7503i 0.255654 0.954115i −0.712071 0.702107i \(-0.752243\pi\)
0.967725 0.252007i \(-0.0810907\pi\)
\(240\) 2.33234 + 0.712848i 0.150552 + 0.0460142i
\(241\) −3.48574 13.0090i −0.224536 0.837981i −0.982590 0.185788i \(-0.940516\pi\)
0.758054 0.652192i \(-0.226151\pi\)
\(242\) −3.70888 + 7.33358i −0.238416 + 0.471420i
\(243\) 9.01346 + 12.7184i 0.578214 + 0.815885i
\(244\) 0.287938 + 0.614822i 0.0184333 + 0.0393599i
\(245\) 0.0441027 + 0.0894314i 0.00281762 + 0.00571356i
\(246\) 2.86466 + 22.5574i 0.182644 + 1.43821i
\(247\) −6.82673 + 0.898756i −0.434374 + 0.0571864i
\(248\) 3.96989 7.47177i 0.252088 0.474458i
\(249\) 15.6191 + 20.1252i 0.989823 + 1.27538i
\(250\) 3.51141 3.44133i 0.222081 0.217649i
\(251\) 6.60137 1.31309i 0.416675 0.0828818i 0.0176993 0.999843i \(-0.494366\pi\)
0.398975 + 0.916962i \(0.369366\pi\)
\(252\) −16.0339 2.26057i −1.01004 0.142402i
\(253\) 25.5181 17.0507i 1.60431 1.07197i
\(254\) −2.90964 + 0.548334i −0.182567 + 0.0344055i
\(255\) 0.945584 3.60820i 0.0592148 0.225954i
\(256\) 1.28879 15.9480i 0.0805492 0.996751i
\(257\) 10.6151 + 18.3859i 0.662153 + 1.14688i 0.980049 + 0.198756i \(0.0636903\pi\)
−0.317896 + 0.948125i \(0.602976\pi\)
\(258\) −22.1744 + 10.8092i −1.38052 + 0.672951i
\(259\) 1.68556 + 25.7167i 0.104736 + 1.59796i
\(260\) −0.186814 + 1.22728i −0.0115857 + 0.0761125i
\(261\) −11.3910 3.72754i −0.705083 0.230729i
\(262\) 6.53307 + 1.82130i 0.403614 + 0.112520i
\(263\) −7.67734 1.01074i −0.473405 0.0623250i −0.109951 0.993937i \(-0.535069\pi\)
−0.363454 + 0.931612i \(0.618403\pi\)
\(264\) 14.7695 + 13.6135i 0.909002 + 0.837851i
\(265\) −4.15962 + 0.547624i −0.255523 + 0.0336403i
\(266\) 2.09418 14.7560i 0.128403 0.904748i
\(267\) 23.6361 4.83676i 1.44651 0.296005i
\(268\) 2.73228 + 0.234481i 0.166900 + 0.0143232i
\(269\) 21.2429 + 4.22548i 1.29520 + 0.257632i 0.794117 0.607765i \(-0.207934\pi\)
0.501087 + 0.865397i \(0.332934\pi\)
\(270\) 0.847188 + 2.44412i 0.0515582 + 0.148745i
\(271\) −15.0650 + 15.0650i −0.915132 + 0.915132i −0.996670 0.0815383i \(-0.974017\pi\)
0.0815383 + 0.996670i \(0.474017\pi\)
\(272\) −24.4510 0.986357i −1.48256 0.0598067i
\(273\) −0.0453138 8.24215i −0.00274252 0.498837i
\(274\) −23.0961 20.6703i −1.39529 1.24874i
\(275\) 18.9316 6.42641i 1.14162 0.387527i
\(276\) −7.97391 24.6730i −0.479973 1.48514i
\(277\) −6.36349 + 3.13813i −0.382345 + 0.188552i −0.623297 0.781985i \(-0.714207\pi\)
0.240952 + 0.970537i \(0.422540\pi\)
\(278\) 2.17853 0.264498i 0.130659 0.0158635i
\(279\) 8.88398 1.26912i 0.531870 0.0759804i
\(280\) −2.45026 1.10287i −0.146431 0.0659088i
\(281\) 1.49942 11.3893i 0.0894482 0.679426i −0.886704 0.462338i \(-0.847011\pi\)
0.976152 0.217088i \(-0.0696560\pi\)
\(282\) −18.1491 + 4.77403i −1.08077 + 0.284289i
\(283\) 1.55433 1.36311i 0.0923954 0.0810286i −0.611902 0.790933i \(-0.709595\pi\)
0.704298 + 0.709905i \(0.251262\pi\)
\(284\) 14.0176 + 14.5945i 0.831794 + 0.866026i
\(285\) −2.25032 + 0.777705i −0.133298 + 0.0460673i
\(286\) −5.76575 + 8.44355i −0.340936 + 0.499278i
\(287\) 25.0525i 1.47880i
\(288\) 14.4710 8.86518i 0.852709 0.522386i
\(289\) 20.4266i 1.20156i
\(290\) −1.64247 1.12157i −0.0964491 0.0658610i
\(291\) −16.3542 14.1839i −0.958698 0.831476i
\(292\) 0.258670 12.8297i 0.0151375 0.750800i
\(293\) −9.26471 + 8.12493i −0.541250 + 0.474664i −0.885776 0.464113i \(-0.846373\pi\)
0.344526 + 0.938777i \(0.388040\pi\)
\(294\) 0.669387 + 0.182653i 0.0390394 + 0.0106525i
\(295\) −0.237087 + 1.80085i −0.0138037 + 0.104850i
\(296\) −18.5130 19.6678i −1.07604 1.14317i
\(297\) −2.43210 + 21.1656i −0.141125 + 1.22815i
\(298\) 0.632006 + 5.20549i 0.0366111 + 0.301546i
\(299\) 11.8375 5.83759i 0.684578 0.337596i
\(300\) −0.857512 16.8695i −0.0495085 0.973959i
\(301\) 25.7366 8.73640i 1.48343 0.503558i
\(302\) 12.3225 13.7686i 0.709078 0.792295i
\(303\) 3.39437 + 1.93494i 0.195001 + 0.111159i
\(304\) 8.14746 + 13.3268i 0.467289 + 0.764343i
\(305\) −0.0844945 + 0.0844945i −0.00483814 + 0.00483814i
\(306\) −14.4398 21.5678i −0.825466 1.23295i
\(307\) 7.86766 + 1.56497i 0.449031 + 0.0893178i 0.414425 0.910083i \(-0.363983\pi\)
0.0346054 + 0.999401i \(0.488983\pi\)
\(308\) −14.2533 16.9293i −0.812156 0.964638i
\(309\) 4.54763 + 5.12843i 0.258706 + 0.291746i
\(310\) 1.47442 + 0.209251i 0.0837415 + 0.0118847i
\(311\) −9.81883 + 1.29267i −0.556775 + 0.0733008i −0.403662 0.914908i \(-0.632263\pi\)
−0.153112 + 0.988209i \(0.548930\pi\)
\(312\) 5.53322 + 6.63354i 0.313257 + 0.375550i
\(313\) 10.0886 + 1.32820i 0.570244 + 0.0750740i 0.410134 0.912025i \(-0.365482\pi\)
0.160110 + 0.987099i \(0.448815\pi\)
\(314\) 8.95138 32.1089i 0.505155 1.81201i
\(315\) −0.586712 2.78897i −0.0330575 0.157141i
\(316\) −8.36041 11.3626i −0.470310 0.639197i
\(317\) 1.01289 + 15.4538i 0.0568898 + 0.867971i 0.926988 + 0.375092i \(0.122389\pi\)
−0.870098 + 0.492879i \(0.835944\pi\)
\(318\) −16.3305 + 24.1996i −0.915769 + 1.35704i
\(319\) −8.19025 14.1859i −0.458566 0.794260i
\(320\) 2.71652 0.742386i 0.151858 0.0415007i
\(321\) 2.35442 + 2.32867i 0.131411 + 0.129974i
\(322\) 5.29067 + 28.0740i 0.294838 + 1.56450i
\(323\) 19.8636 13.2724i 1.10524 0.738496i
\(324\) 16.6424 + 6.85783i 0.924579 + 0.380990i
\(325\) 8.43273 1.67737i 0.467764 0.0930440i
\(326\) 5.15307 + 5.25801i 0.285402 + 0.291214i
\(327\) −1.57098 + 3.85246i −0.0868756 + 0.213041i
\(328\) 16.7072 + 20.2549i 0.922501 + 1.11839i
\(329\) 20.4993 2.69879i 1.13017 0.148789i
\(330\) −1.36788 + 3.26004i −0.0752996 + 0.179459i
\(331\) −11.7254 23.7767i −0.644484 1.30688i −0.936566 0.350491i \(-0.886015\pi\)
0.292082 0.956393i \(-0.405652\pi\)
\(332\) 27.6587 + 10.0151i 1.51797 + 0.549649i
\(333\) 5.27980 28.1580i 0.289331 1.54305i
\(334\) 21.7116 + 10.9804i 1.18800 + 0.600820i
\(335\) 0.124925 + 0.466225i 0.00682536 + 0.0254726i
\(336\) −17.0470 + 7.68089i −0.929991 + 0.419027i
\(337\) −0.0753450 + 0.281191i −0.00410430 + 0.0153175i −0.967948 0.251152i \(-0.919191\pi\)
0.963843 + 0.266470i \(0.0858572\pi\)
\(338\) 9.32828 10.4230i 0.507392 0.566938i
\(339\) −13.7593 6.69154i −0.747302 0.363435i
\(340\) −1.30197 4.10559i −0.0706094 0.222657i
\(341\) 10.1981 + 6.81412i 0.552255 + 0.369005i
\(342\) −6.32609 + 15.3122i −0.342076 + 0.827988i
\(343\) 16.7470 + 6.93683i 0.904252 + 0.374553i
\(344\) −14.9818 + 24.2268i −0.807764 + 1.30622i
\(345\) 3.60539 2.79814i 0.194108 0.150647i
\(346\) −6.87697 4.06339i −0.369708 0.218449i
\(347\) −2.28403 + 2.00304i −0.122613 + 0.107529i −0.718457 0.695572i \(-0.755151\pi\)
0.595844 + 0.803100i \(0.296818\pi\)
\(348\) −13.4190 + 3.38555i −0.719334 + 0.181485i
\(349\) −33.4384 + 2.19167i −1.78992 + 0.117317i −0.923885 0.382669i \(-0.875005\pi\)
−0.866033 + 0.499987i \(0.833338\pi\)
\(350\) −1.40428 + 18.5571i −0.0750617 + 0.991917i
\(351\) −2.22510 + 8.88802i −0.118767 + 0.474407i
\(352\) 22.8137 + 4.18199i 1.21597 + 0.222901i
\(353\) −6.37077 3.67817i −0.339082 0.195769i 0.320784 0.947152i \(-0.396054\pi\)
−0.659866 + 0.751383i \(0.729387\pi\)
\(354\) 8.29001 + 9.54078i 0.440609 + 0.507087i
\(355\) −1.57530 + 3.19439i −0.0836083 + 0.169541i
\(356\) 20.0918 19.2977i 1.06487 1.02277i
\(357\) 12.7887 + 25.5775i 0.676852 + 1.35371i
\(358\) 4.43323 + 0.0446866i 0.234304 + 0.00236176i
\(359\) −18.6274 + 7.71572i −0.983116 + 0.407220i −0.815579 0.578646i \(-0.803581\pi\)
−0.167537 + 0.985866i \(0.553581\pi\)
\(360\) 2.33429 + 1.86361i 0.123028 + 0.0982208i
\(361\) 3.46547 + 1.43544i 0.182393 + 0.0755497i
\(362\) 5.38327 12.6346i 0.282939 0.664062i
\(363\) −7.53072 + 6.67787i −0.395260 + 0.350497i
\(364\) −5.12697 8.01837i −0.268726 0.420277i
\(365\) 2.13873 0.726000i 0.111946 0.0380006i
\(366\) 0.0505797 + 0.829947i 0.00264385 + 0.0433820i
\(367\) 13.1290 3.51789i 0.685326 0.183633i 0.100677 0.994919i \(-0.467899\pi\)
0.584649 + 0.811287i \(0.301232\pi\)
\(368\) −22.9997 19.1695i −1.19894 0.999278i
\(369\) −6.91163 + 26.9777i −0.359805 + 1.40440i
\(370\) 2.14552 4.24235i 0.111540 0.220549i
\(371\) 21.2079 24.1830i 1.10106 1.25552i
\(372\) 7.89026 6.71750i 0.409091 0.348286i
\(373\) 14.8844 + 0.975577i 0.770687 + 0.0505135i 0.445673 0.895196i \(-0.352964\pi\)
0.325014 + 0.945709i \(0.394631\pi\)
\(374\) 4.98446 35.1215i 0.257740 1.81609i
\(375\) 5.55044 2.33490i 0.286624 0.120574i
\(376\) −14.7739 + 15.8527i −0.761905 + 0.817542i
\(377\) −2.69583 6.50831i −0.138842 0.335195i
\(378\) −17.2380 9.80549i −0.886627 0.504340i
\(379\) −11.9348 + 2.37397i −0.613048 + 0.121943i −0.491842 0.870685i \(-0.663676\pi\)
−0.121206 + 0.992627i \(0.538676\pi\)
\(380\) −1.71726 + 2.14695i −0.0880938 + 0.110136i
\(381\) −3.56045 0.687890i −0.182407 0.0352417i
\(382\) −11.6709 + 33.2757i −0.597136 + 1.70253i
\(383\) −5.89394 10.2086i −0.301166 0.521635i 0.675234 0.737603i \(-0.264043\pi\)
−0.976400 + 0.215968i \(0.930709\pi\)
\(384\) 8.66019 17.5784i 0.441938 0.897045i
\(385\) 1.94758 3.37330i 0.0992576 0.171919i
\(386\) 15.7533 + 18.3328i 0.801824 + 0.933113i
\(387\) −30.1246 + 2.30738i −1.53132 + 0.117291i
\(388\) −24.7125 3.76169i −1.25458 0.190971i
\(389\) −0.162778 + 0.479528i −0.00825317 + 0.0243130i −0.950979 0.309256i \(-0.899920\pi\)
0.942726 + 0.333569i \(0.108253\pi\)
\(390\) −0.766233 + 1.31322i −0.0387997 + 0.0664976i
\(391\) −27.8767 + 36.3296i −1.40979 + 1.83727i
\(392\) 0.766119 0.234481i 0.0386949 0.0118431i
\(393\) 6.61765 + 5.02034i 0.333816 + 0.253243i
\(394\) −10.7223 + 4.31523i −0.540182 + 0.217398i
\(395\) 1.37945 2.06449i 0.0694075 0.103876i
\(396\) 10.6780 + 22.1626i 0.536590 + 1.11371i
\(397\) −4.26420 0.848201i −0.214014 0.0425700i 0.0869188 0.996215i \(-0.472298\pi\)
−0.300933 + 0.953645i \(0.597298\pi\)
\(398\) 11.5337 + 17.6439i 0.578134 + 0.884408i
\(399\) 9.03967 15.8579i 0.452549 0.793887i
\(400\) −11.2401 15.9398i −0.562006 0.796992i
\(401\) 8.26370 30.8406i 0.412670 1.54010i −0.376788 0.926299i \(-0.622972\pi\)
0.789458 0.613805i \(-0.210362\pi\)
\(402\) 3.00544 + 1.49928i 0.149898 + 0.0747771i
\(403\) 3.96572 + 3.47784i 0.197546 + 0.173244i
\(404\) 4.50695 0.204263i 0.224229 0.0101624i
\(405\) −0.137641 + 3.16516i −0.00683943 + 0.157278i
\(406\) 15.1367 1.83776i 0.751220 0.0912067i
\(407\) 31.0633 23.8357i 1.53975 1.18149i
\(408\) −27.3970 12.1507i −1.35635 0.601551i
\(409\) 24.9279 + 19.1278i 1.23260 + 0.945810i 0.999644 0.0266761i \(-0.00849226\pi\)
0.232960 + 0.972486i \(0.425159\pi\)
\(410\) −2.35088 + 3.97869i −0.116102 + 0.196493i
\(411\) −16.9766 33.9533i −0.837396 1.67480i
\(412\) 7.60216 + 2.20216i 0.374532 + 0.108493i
\(413\) −7.73656 11.5786i −0.380691 0.569745i
\(414\) 2.04799 31.6910i 0.100653 1.55753i
\(415\) 5.17748i 0.254153i
\(416\) 9.49250 + 3.06372i 0.465408 + 0.150211i
\(417\) 2.59994 + 0.681353i 0.127319 + 0.0333660i
\(418\) −20.4078 + 9.80953i −0.998177 + 0.479800i
\(419\) −4.29102 + 8.70132i −0.209630 + 0.425087i −0.976139 0.217146i \(-0.930325\pi\)
0.766509 + 0.642233i \(0.221992\pi\)
\(420\) −2.29267 2.36090i −0.111871 0.115200i
\(421\) 26.8847 + 9.12614i 1.31028 + 0.444781i 0.887231 0.461326i \(-0.152626\pi\)
0.423050 + 0.906106i \(0.360959\pi\)
\(422\) 9.73592 5.49094i 0.473937 0.267295i
\(423\) −22.8192 2.74930i −1.10951 0.133676i
\(424\) −1.01921 + 33.6952i −0.0494972 + 1.63638i
\(425\) −23.6662 + 18.1597i −1.14798 + 0.880874i
\(426\) 9.37938 + 22.9406i 0.454432 + 1.11147i
\(427\) 0.0599158 0.914139i 0.00289953 0.0442383i
\(428\) 3.73451 + 0.821429i 0.180514 + 0.0397053i
\(429\) −10.3734 + 7.01411i −0.500835 + 0.338645i
\(430\) −4.90714 1.02762i −0.236644 0.0495560i
\(431\) −4.77224 4.77224i −0.229871 0.229871i 0.582768 0.812639i \(-0.301970\pi\)
−0.812639 + 0.582768i \(0.801970\pi\)
\(432\) 20.4761 3.56809i 0.985155 0.171670i
\(433\) −27.3673 + 27.3673i −1.31519 + 1.31519i −0.397655 + 0.917535i \(0.630176\pi\)
−0.917535 + 0.397655i \(0.869824\pi\)
\(434\) −9.55632 + 6.24693i −0.458718 + 0.299862i
\(435\) −1.36441 2.01788i −0.0654184 0.0967499i
\(436\) 0.842061 + 4.72971i 0.0403274 + 0.226512i
\(437\) 29.1672 + 1.91172i 1.39525 + 0.0914498i
\(438\) 6.08082 14.4922i 0.290553 0.692466i
\(439\) 0.590697 + 0.769811i 0.0281924 + 0.0367411i 0.807237 0.590228i \(-0.200962\pi\)
−0.779044 + 0.626969i \(0.784295\pi\)
\(440\) 0.675002 + 4.02612i 0.0321795 + 0.191938i
\(441\) 0.679839 + 0.509881i 0.0323733 + 0.0242801i
\(442\) 4.09676 14.6952i 0.194863 0.698979i
\(443\) −4.89948 + 14.4334i −0.232781 + 0.685752i 0.766283 + 0.642503i \(0.222104\pi\)
−0.999064 + 0.0432486i \(0.986229\pi\)
\(444\) −12.2100 30.7449i −0.579460 1.45909i
\(445\) 4.39762 + 2.16867i 0.208467 + 0.102805i
\(446\) −13.4816 4.72847i −0.638374 0.223900i
\(447\) −1.62806 + 6.21243i −0.0770047 + 0.293838i
\(448\) −11.9054 + 18.0109i −0.562476 + 0.850934i
\(449\) −23.4419 −1.10629 −0.553145 0.833085i \(-0.686572\pi\)
−0.553145 + 0.833085i \(0.686572\pi\)
\(450\) 6.63182 19.5957i 0.312627 0.923749i
\(451\) −31.6470 + 21.1458i −1.49020 + 0.995718i
\(452\) −17.5589 + 1.95247i −0.825900 + 0.0918364i
\(453\) 20.2411 10.1205i 0.951010 0.475504i
\(454\) −2.32207 + 0.597178i −0.108980 + 0.0280269i
\(455\) 1.01976 1.32897i 0.0478070 0.0623033i
\(456\) 3.26687 + 18.8495i 0.152985 + 0.882709i
\(457\) 10.7464 + 14.0050i 0.502697 + 0.655127i 0.973921 0.226886i \(-0.0728545\pi\)
−0.471225 + 0.882013i \(0.656188\pi\)
\(458\) 7.03391 8.97793i 0.328673 0.419511i
\(459\) −6.71501 31.0713i −0.313430 1.45028i
\(460\) 1.79418 4.95501i 0.0836542 0.231029i
\(461\) −1.31280 + 1.49696i −0.0611432 + 0.0697205i −0.781603 0.623776i \(-0.785598\pi\)
0.720460 + 0.693497i \(0.243931\pi\)
\(462\) −8.59467 25.7054i −0.399860 1.19592i
\(463\) 19.0689 + 5.10951i 0.886209 + 0.237459i 0.673084 0.739566i \(-0.264969\pi\)
0.213125 + 0.977025i \(0.431636\pi\)
\(464\) −11.0124 + 11.5803i −0.511237 + 0.537601i
\(465\) 1.58452 + 0.903245i 0.0734803 + 0.0418870i
\(466\) 7.26135 + 1.52061i 0.336375 + 0.0704411i
\(467\) −3.49216 + 17.5563i −0.161598 + 0.812408i 0.811915 + 0.583776i \(0.198425\pi\)
−0.973513 + 0.228632i \(0.926575\pi\)
\(468\) 3.30880 + 10.0490i 0.152949 + 0.464515i
\(469\) −3.07679 2.05584i −0.142073 0.0949301i
\(470\) −3.50883 1.49502i −0.161850 0.0689600i
\(471\) 24.6741 32.5246i 1.13692 1.49865i
\(472\) 13.9766 + 4.20184i 0.643325 + 0.193405i
\(473\) −32.7593 25.1371i −1.50627 1.15580i
\(474\) −4.39521 16.7090i −0.201878 0.767469i
\(475\) 18.0306 + 6.12056i 0.827300 + 0.280831i
\(476\) 28.2579 + 17.0833i 1.29520 + 0.783012i
\(477\) −29.5094 + 20.1904i −1.35114 + 0.924454i
\(478\) 1.62957 21.5343i 0.0745349 0.984956i
\(479\) 26.0682 + 15.0505i 1.19109 + 0.687674i 0.958553 0.284915i \(-0.0919653\pi\)
0.232533 + 0.972588i \(0.425299\pi\)
\(480\) 3.42807 + 0.379830i 0.156469 + 0.0173368i
\(481\) 14.5827 8.41931i 0.664913 0.383888i
\(482\) −8.25142 17.1663i −0.375842 0.781902i
\(483\) −6.63719 + 34.3534i −0.302003 + 1.56314i
\(484\) −3.23372 + 11.1632i −0.146987 + 0.507419i
\(485\) −0.858340 4.31516i −0.0389752 0.195942i
\(486\) 15.8575 + 15.3147i 0.719309 + 0.694690i
\(487\) 25.2239 10.4481i 1.14300 0.473447i 0.270821 0.962630i \(-0.412705\pi\)
0.872182 + 0.489182i \(0.162705\pi\)
\(488\) 0.561186 + 0.779036i 0.0254037 + 0.0352653i
\(489\) 3.49629 + 8.31126i 0.158108 + 0.375848i
\(490\) 0.0847142 + 0.112737i 0.00382700 + 0.00509292i
\(491\) 0.585347 8.93067i 0.0264163 0.403035i −0.964091 0.265573i \(-0.914439\pi\)
0.990507 0.137462i \(-0.0438945\pi\)
\(492\) 9.88905 + 30.5989i 0.445833 + 1.37951i
\(493\) 18.3757 + 16.1151i 0.827602 + 0.725787i
\(494\) −9.25206 + 3.03700i −0.416270 + 0.136641i
\(495\) −3.02788 + 3.09521i −0.136093 + 0.139120i
\(496\) 3.56026 11.4236i 0.159861 0.512936i
\(497\) −7.06730 26.3755i −0.317012 1.18310i
\(498\) 26.9776 + 23.8783i 1.20889 + 1.07001i
\(499\) −13.4416 39.5976i −0.601728 1.77263i −0.634210 0.773161i \(-0.718675\pi\)
0.0324826 0.999472i \(-0.489659\pi\)
\(500\) 3.97869 5.70225i 0.177932 0.255012i
\(501\) 19.7703 + 22.2952i 0.883271 + 0.996077i
\(502\) 8.83035 3.55380i 0.394118 0.158614i
\(503\) 0.447552 1.08049i 0.0199553 0.0481764i −0.913588 0.406642i \(-0.866700\pi\)
0.933543 + 0.358465i \(0.116700\pi\)
\(504\) −22.8752 + 1.05774i −1.01894 + 0.0471155i
\(505\) 0.303879 + 0.733630i 0.0135225 + 0.0326461i
\(506\) 30.9981 30.3795i 1.37804 1.35053i
\(507\) 15.3228 7.66138i 0.680509 0.340254i
\(508\) −3.90006 + 1.52410i −0.173037 + 0.0676208i
\(509\) −2.16509 1.06771i −0.0959661 0.0473253i 0.393672 0.919251i \(-0.371205\pi\)
−0.489638 + 0.871926i \(0.662871\pi\)
\(510\) 0.369121 5.26215i 0.0163449 0.233012i
\(511\) −8.65779 + 14.9957i −0.382998 + 0.663372i
\(512\) −2.38577 22.5013i −0.105437 0.994426i
\(513\) −14.1093 + 14.5826i −0.622940 + 0.643836i
\(514\) 19.5677 + 22.7717i 0.863095 + 1.00442i
\(515\) 0.0911100 + 1.39007i 0.00401479 + 0.0612538i
\(516\) −27.9859 + 20.8297i −1.23201 + 0.916975i
\(517\) −20.7119 23.6174i −0.910907 1.03869i
\(518\) 9.07785 + 35.2984i 0.398858 + 1.55092i
\(519\) −5.99805 7.72846i −0.263285 0.339242i
\(520\) 0.0618048 + 1.75454i 0.00271032 + 0.0769415i
\(521\) 9.84418 23.7660i 0.431281 1.04121i −0.547593 0.836745i \(-0.684456\pi\)
0.978875 0.204461i \(-0.0655440\pi\)
\(522\) −16.8069 2.19701i −0.735616 0.0961603i
\(523\) 5.95239 8.90838i 0.260280 0.389536i −0.678196 0.734881i \(-0.737238\pi\)
0.938476 + 0.345345i \(0.112238\pi\)
\(524\) 9.55634 + 0.820113i 0.417471 + 0.0358268i
\(525\) −9.96840 + 20.4972i −0.435056 + 0.894572i
\(526\) −10.9343 + 0.606055i −0.476758 + 0.0264253i
\(527\) −17.6769 4.73652i −0.770019 0.206326i
\(528\) 24.0914 + 15.0511i 1.04844 + 0.655015i
\(529\) −31.9030 + 8.54839i −1.38709 + 0.371669i
\(530\) −5.63741 + 1.85049i −0.244873 + 0.0803800i
\(531\) 5.13671 + 14.6027i 0.222914 + 0.633705i
\(532\) −0.954277 21.0556i −0.0413732 0.912877i
\(533\) −14.6805 + 7.23964i −0.635884 + 0.313584i
\(534\) 31.5816 12.9123i 1.36667 0.558770i
\(535\) 0.0878465 + 0.667260i 0.00379793 + 0.0288482i
\(536\) 3.85859 0.389727i 0.166666 0.0168336i
\(537\) 5.02788 + 2.05030i 0.216969 + 0.0884772i
\(538\) 30.6290 + 0.308738i 1.32051 + 0.0133106i
\(539\) 0.226584 + 1.13911i 0.00975966 + 0.0490651i
\(540\) 1.81751 + 3.17484i 0.0782131 + 0.136623i
\(541\) −13.4847 20.1812i −0.579751 0.867659i 0.419443 0.907782i \(-0.362225\pi\)
−0.999195 + 0.0401222i \(0.987225\pi\)
\(542\) −16.9910 + 24.8821i −0.729824 + 1.06878i
\(543\) 11.8281 11.9589i 0.507594 0.513206i
\(544\) −34.2391 + 5.03305i −1.46799 + 0.215790i
\(545\) −0.732276 + 0.422780i −0.0313673 + 0.0181099i
\(546\) −2.22163 11.4427i −0.0950771 0.489701i
\(547\) −31.2670 + 2.04935i −1.33688 + 0.0876238i −0.717000 0.697073i \(-0.754485\pi\)
−0.619880 + 0.784697i \(0.712819\pi\)
\(548\) −37.5115 22.6775i −1.60241 0.968736i
\(549\) −0.316718 + 0.967856i −0.0135172 + 0.0413071i
\(550\) 24.6271 13.8894i 1.05010 0.592245i
\(551\) 2.03633 15.4675i 0.0867505 0.658936i
\(552\) −17.5437 32.2009i −0.746711 1.37056i
\(553\) 2.48464 + 18.8727i 0.105658 + 0.802549i
\(554\) −8.02177 + 6.02784i −0.340813 + 0.256098i
\(555\) 4.35640 3.86303i 0.184919 0.163977i
\(556\) 2.95833 0.938153i 0.125461 0.0397865i
\(557\) −5.73143 + 28.8139i −0.242849 + 1.22088i 0.646235 + 0.763138i \(0.276342\pi\)
−0.889084 + 0.457744i \(0.848658\pi\)
\(558\) 12.0141 4.09052i 0.508598 0.173166i
\(559\) −12.5568 12.5568i −0.531095 0.531095i
\(560\) −3.69410 0.890972i −0.156104 0.0376504i
\(561\) 21.5157 37.7441i 0.908395 1.59356i
\(562\) −0.899076 16.2209i −0.0379253 0.684239i
\(563\) 3.73610 + 11.0062i 0.157458 + 0.463856i 0.996817 0.0797212i \(-0.0254030\pi\)
−0.839359 + 0.543577i \(0.817070\pi\)
\(564\) −23.9724 + 11.3881i −1.00942 + 0.479524i
\(565\) −1.37532 2.78888i −0.0578603 0.117329i
\(566\) 1.80313 2.30147i 0.0757911 0.0967381i
\(567\) −15.2062 18.9398i −0.638601 0.795396i
\(568\) 23.3034 + 16.6115i 0.977789 + 0.697001i
\(569\) −18.8104 2.47644i −0.788573 0.103818i −0.274526 0.961580i \(-0.588521\pi\)
−0.514047 + 0.857762i \(0.671854\pi\)
\(570\) −2.92370 + 1.67019i −0.122460 + 0.0699564i
\(571\) −18.7625 21.3945i −0.785186 0.895333i 0.211441 0.977391i \(-0.432184\pi\)
−0.996628 + 0.0820574i \(0.973851\pi\)
\(572\) −5.80154 + 13.2445i −0.242575 + 0.553781i
\(573\) −28.2970 + 32.6267i −1.18212 + 1.36300i
\(574\) −6.56137 34.8167i −0.273866 1.45322i
\(575\) −36.4985 −1.52209
\(576\) 17.7892 16.1104i 0.741216 0.671267i
\(577\) −26.0683 −1.08524 −0.542619 0.839979i \(-0.682567\pi\)
−0.542619 + 0.839979i \(0.682567\pi\)
\(578\) 5.34981 + 28.3878i 0.222523 + 1.18078i
\(579\) 9.66981 + 27.9800i 0.401864 + 1.16281i
\(580\) −2.57637 1.12854i −0.106978 0.0468599i
\(581\) −26.1717 29.8431i −1.08578 1.23810i
\(582\) −26.4430 15.4289i −1.09610 0.639547i
\(583\) −48.4493 6.37848i −2.00657 0.264170i
\(584\) −3.00067 17.8978i −0.124168 0.740616i
\(585\) −1.46477 + 1.14976i −0.0605606 + 0.0475368i
\(586\) −10.7477 + 13.7181i −0.443982 + 0.566690i
\(587\) −7.42525 15.0569i −0.306473 0.621465i 0.688088 0.725628i \(-0.258450\pi\)
−0.994560 + 0.104162i \(0.966784\pi\)
\(588\) 0.978118 + 0.0785263i 0.0403369 + 0.00323837i
\(589\) 3.75485 + 11.0614i 0.154716 + 0.455779i
\(590\) 0.142161 + 2.56483i 0.00585266 + 0.105592i
\(591\) −14.1555 + 0.0778242i −0.582278 + 0.00320126i
\(592\) −30.8795 22.4848i −1.26914 0.924118i
\(593\) 23.5568 + 23.5568i 0.967362 + 0.967362i 0.999484 0.0321220i \(-0.0102265\pi\)
−0.0321220 + 0.999484i \(0.510227\pi\)
\(594\) 2.16336 + 30.0519i 0.0887639 + 1.23305i
\(595\) −1.13384 + 5.70021i −0.0464830 + 0.233686i
\(596\) 2.24167 + 7.06880i 0.0918225 + 0.289549i
\(597\) 5.17571 + 25.2925i 0.211828 + 1.03515i
\(598\) 14.9222 11.2131i 0.610215 0.458537i
\(599\) 4.46419 + 33.9089i 0.182402 + 1.38548i 0.800478 + 0.599362i \(0.204579\pi\)
−0.618076 + 0.786119i \(0.712088\pi\)
\(600\) −5.60992 23.2198i −0.229024 0.947943i
\(601\) 1.98870 15.1057i 0.0811208 0.616174i −0.901801 0.432151i \(-0.857755\pi\)
0.982922 0.184023i \(-0.0589120\pi\)
\(602\) 33.4793 18.8820i 1.36452 0.769571i
\(603\) 2.74605 + 3.06267i 0.111828 + 0.124722i
\(604\) 13.5191 22.3623i 0.550084 0.909907i
\(605\) −2.04122 + 0.133788i −0.0829872 + 0.00543927i
\(606\) 5.22410 + 1.80008i 0.212214 + 0.0731232i
\(607\) −15.6389 + 9.02915i −0.634765 + 0.366482i −0.782595 0.622531i \(-0.786104\pi\)
0.147830 + 0.989013i \(0.452771\pi\)
\(608\) 14.8133 + 16.3870i 0.600758 + 0.664582i
\(609\) 18.0647 + 4.73412i 0.732017 + 0.191836i
\(610\) −0.0952967 + 0.139556i −0.00385845 + 0.00565045i
\(611\) −7.50534 11.2325i −0.303634 0.454420i
\(612\) −25.7164 26.1921i −1.03952 1.05875i
\(613\) 5.31476 + 26.7191i 0.214661 + 1.07917i 0.926345 + 0.376675i \(0.122933\pi\)
−0.711684 + 0.702499i \(0.752067\pi\)
\(614\) 11.3440 + 0.114346i 0.457805 + 0.00461463i
\(615\) −4.47132 + 3.47019i −0.180301 + 0.139932i
\(616\) −24.2424 19.7945i −0.976753 0.797545i
\(617\) 3.34947 + 25.4417i 0.134844 + 1.02424i 0.916359 + 0.400358i \(0.131114\pi\)
−0.781515 + 0.623887i \(0.785553\pi\)
\(618\) 7.66324 + 5.93619i 0.308261 + 0.238789i
\(619\) −22.2771 + 10.9858i −0.895391 + 0.441558i −0.830939 0.556363i \(-0.812196\pi\)
−0.0644514 + 0.997921i \(0.520530\pi\)
\(620\) 2.10388 0.0953514i 0.0844939 0.00382941i
\(621\) 16.6249 35.1622i 0.667133 1.41101i
\(622\) −13.3072 + 4.36809i −0.533568 + 0.175144i
\(623\) −36.3104 + 9.72934i −1.45474 + 0.389798i
\(624\) 9.42716 + 7.76978i 0.377388 + 0.311040i
\(625\) −22.3676 5.99337i −0.894703 0.239735i
\(626\) 14.3686 0.796405i 0.574283 0.0318308i
\(627\) −27.6621 + 1.96586i −1.10472 + 0.0785089i
\(628\) 4.03071 46.9677i 0.160843 1.87422i
\(629\) −32.4573 + 48.5758i −1.29416 + 1.93684i
\(630\) −1.54583 3.72232i −0.0615873 0.148301i
\(631\) −15.6917 + 37.8830i −0.624675 + 1.50810i 0.221481 + 0.975165i \(0.428911\pi\)
−0.846156 + 0.532935i \(0.821089\pi\)
\(632\) −14.5948 13.6016i −0.580550 0.541041i
\(633\) 13.5626 1.86146i 0.539063 0.0739862i
\(634\) 5.45509 + 21.2116i 0.216649 + 0.842421i
\(635\) −0.485935 0.554103i −0.0192838 0.0219889i
\(636\) −16.3573 + 37.9084i −0.648611 + 1.50317i
\(637\) 0.0326676 + 0.498411i 0.00129434 + 0.0197478i
\(638\) −15.0978 17.5698i −0.597726 0.695596i
\(639\) 0.333751 + 30.3521i 0.0132030 + 1.20071i
\(640\) 3.58085 1.74320i 0.141546 0.0689061i
\(641\) −6.27664 + 10.8715i −0.247912 + 0.429397i −0.962946 0.269693i \(-0.913078\pi\)
0.715034 + 0.699090i \(0.246411\pi\)
\(642\) 3.88194 + 2.61964i 0.153208 + 0.103389i
\(643\) −20.9914 10.3518i −0.827819 0.408235i −0.0215381 0.999768i \(-0.506856\pi\)
−0.806281 + 0.591533i \(0.798523\pi\)
\(644\) 14.7054 + 37.6302i 0.579475 + 1.48284i
\(645\) −5.12421 3.38328i −0.201765 0.133217i
\(646\) 24.1293 23.6477i 0.949354 0.930406i
\(647\) −16.7898 40.5340i −0.660073 1.59356i −0.797687 0.603072i \(-0.793943\pi\)
0.137614 0.990486i \(-0.456057\pi\)
\(648\) 24.9249 + 5.17193i 0.979143 + 0.203173i
\(649\) −8.09624 + 19.5460i −0.317805 + 0.767249i
\(650\) 11.2801 4.53971i 0.442441 0.178062i
\(651\) −13.6990 + 2.80328i −0.536906 + 0.109869i
\(652\) 8.53857 + 5.95771i 0.334396 + 0.233322i
\(653\) −3.77149 11.1104i −0.147590 0.434785i 0.847843 0.530247i \(-0.177901\pi\)
−0.995433 + 0.0954614i \(0.969567\pi\)
\(654\) −1.17430 + 5.76540i −0.0459186 + 0.225445i
\(655\) 0.436933 + 1.63066i 0.0170724 + 0.0637150i
\(656\) 28.5237 + 23.7735i 1.11366 + 0.928201i
\(657\) 13.4602 13.7595i 0.525133 0.536810i
\(658\) 27.7821 9.11952i 1.08306 0.355516i
\(659\) −28.4793 24.9757i −1.10940 0.972914i −0.109617 0.993974i \(-0.534962\pi\)
−0.999778 + 0.0210602i \(0.993296\pi\)
\(660\) −1.04720 + 4.88889i −0.0407622 + 0.190300i
\(661\) 1.38037 21.0604i 0.0536902 0.819153i −0.883083 0.469217i \(-0.844536\pi\)
0.936773 0.349937i \(-0.113797\pi\)
\(662\) −22.5226 29.9727i −0.875364 1.16492i
\(663\) 11.2925 14.8855i 0.438566 0.578103i
\(664\) 41.0617 + 6.67449i 1.59350 + 0.259021i
\(665\) 3.42738 1.41967i 0.132908 0.0550524i
\(666\) −0.0371100 40.5153i −0.00143798 1.56994i
\(667\) 5.83404 + 29.3297i 0.225895 + 1.13565i
\(668\) 33.0495 + 9.57364i 1.27872 + 0.370415i
\(669\) −13.2187 11.4645i −0.511064 0.443245i
\(670\) 0.295720 + 0.615218i 0.0114247 + 0.0237679i
\(671\) −1.20534 + 0.695901i −0.0465315 + 0.0268650i
\(672\) −21.6794 + 15.1392i −0.836302 + 0.584008i
\(673\) 10.0046 + 5.77618i 0.385651 + 0.222655i 0.680274 0.732958i \(-0.261861\pi\)
−0.294623 + 0.955613i \(0.595194\pi\)
\(674\) −0.0310654 + 0.410519i −0.00119659 + 0.0158126i
\(675\) 16.3893 19.3222i 0.630825 0.743712i
\(676\) 10.2341 16.9285i 0.393621 0.651098i
\(677\) 12.4974 + 4.24230i 0.480315 + 0.163045i 0.551087 0.834447i \(-0.314213\pi\)
−0.0707724 + 0.997492i \(0.522546\pi\)
\(678\) −20.8745 5.69595i −0.801681 0.218752i
\(679\) 26.7602 + 20.5338i 1.02696 + 0.788016i
\(680\) −2.88469 5.36475i −0.110623 0.205729i
\(681\) −2.91343 0.367277i −0.111643 0.0140741i
\(682\) 15.9574 + 6.79901i 0.611040 + 0.260347i
\(683\) 10.2420 + 6.84351i 0.391901 + 0.261860i 0.735872 0.677120i \(-0.236772\pi\)
−0.343972 + 0.938980i \(0.611772\pi\)
\(684\) −4.78135 + 22.9369i −0.182819 + 0.877016i
\(685\) 1.50514 7.56683i 0.0575083 0.289114i
\(686\) 25.0909 + 5.25434i 0.957975 + 0.200612i
\(687\) 12.0585 7.05064i 0.460060 0.268999i
\(688\) −14.4758 + 37.5930i −0.551886 + 1.43322i
\(689\) −20.2997 5.43928i −0.773355 0.207220i
\(690\) 4.27775 4.83299i 0.162851 0.183989i
\(691\) 11.3955 12.9941i 0.433506 0.494319i −0.493300 0.869859i \(-0.664209\pi\)
0.926806 + 0.375540i \(0.122543\pi\)
\(692\) −10.6215 3.84598i −0.403768 0.146202i
\(693\) 1.80676 33.1465i 0.0686330 1.25913i
\(694\) −2.64962 + 3.38192i −0.100578 + 0.128376i
\(695\) 0.332534 + 0.433367i 0.0126137 + 0.0164385i
\(696\) −17.7624 + 8.21958i −0.673281 + 0.311562i
\(697\) 34.5720 45.0551i 1.30951 1.70659i
\(698\) −45.8971 + 11.8036i −1.73723 + 0.446771i
\(699\) 7.58254 + 5.00641i 0.286798 + 0.189360i
\(700\) 2.90859 + 26.1575i 0.109934 + 0.988660i
\(701\) 35.6500 23.8206i 1.34648 0.899691i 0.347208 0.937788i \(-0.387130\pi\)
0.999274 + 0.0380973i \(0.0121297\pi\)
\(702\) −0.764514 + 12.9349i −0.0288547 + 0.488196i
\(703\) 37.2910 1.40646
\(704\) 32.8006 0.163100i 1.23622 0.00614708i
\(705\) −3.32118 3.28486i −0.125083 0.123715i
\(706\) −9.81711 3.44320i −0.369472 0.129586i
\(707\) −5.45999 2.69257i −0.205344 0.101265i
\(708\) 14.0198 + 11.0881i 0.526897 + 0.416716i
\(709\) −6.40494 + 18.8683i −0.240542 + 0.708615i 0.757876 + 0.652398i \(0.226237\pi\)
−0.998419 + 0.0562167i \(0.982096\pi\)
\(710\) −1.35265 + 4.85199i −0.0507640 + 0.182092i
\(711\) 2.53114 21.0085i 0.0949253 0.787879i
\(712\) 22.8685 32.0811i 0.857033 1.20229i
\(713\) −13.6309 17.7641i −0.510481 0.665272i
\(714\) 24.4720 + 32.1970i 0.915843 + 1.20494i
\(715\) −2.53953 0.166450i −0.0949731 0.00622486i
\(716\) 6.17279 1.09898i 0.230688 0.0410709i
\(717\) 11.5677 23.7857i 0.432003 0.888294i
\(718\) −23.8666 + 15.6015i −0.890695 + 0.582244i
\(719\) −1.82913 + 1.82913i −0.0682151 + 0.0682151i −0.740391 0.672176i \(-0.765360\pi\)
0.672176 + 0.740391i \(0.265360\pi\)
\(720\) 3.73217 + 1.97859i 0.139090 + 0.0737377i
\(721\) −7.55183 7.55183i −0.281245 0.281245i
\(722\) 5.19209 + 1.08729i 0.193229 + 0.0404646i
\(723\) −1.65361 23.2683i −0.0614984 0.865359i
\(724\) 4.17233 18.9689i 0.155063 0.704974i
\(725\) −1.27409 + 19.4388i −0.0473184 + 0.721940i
\(726\) −8.71686 + 11.2529i −0.323513 + 0.417634i
\(727\) −19.9802 + 15.3314i −0.741025 + 0.568609i −0.908808 0.417215i \(-0.863006\pi\)
0.167783 + 0.985824i \(0.446339\pi\)
\(728\) −9.22526 9.80075i −0.341911 0.363240i
\(729\) 11.1495 + 24.5904i 0.412945 + 0.910756i
\(730\) 2.78215 1.56910i 0.102972 0.0580751i
\(731\) 58.3416 + 19.8043i 2.15784 + 0.732488i
\(732\) 0.287660 + 1.14017i 0.0106322 + 0.0421420i
\(733\) −16.4102 + 33.2767i −0.606126 + 1.22910i 0.350166 + 0.936688i \(0.386125\pi\)
−0.956292 + 0.292414i \(0.905542\pi\)
\(734\) 17.3246 8.32753i 0.639464 0.307375i
\(735\) 0.0456174 + 0.166578i 0.00168262 + 0.00614431i
\(736\) −36.9844 20.6171i −1.36326 0.759955i
\(737\) 5.62194i 0.207087i
\(738\) −2.53986 + 39.3024i −0.0934937 + 1.44674i
\(739\) 3.87211 + 5.79503i 0.142438 + 0.213174i 0.895829 0.444400i \(-0.146583\pi\)
−0.753391 + 0.657573i \(0.771583\pi\)
\(740\) 1.87065 6.45773i 0.0687665 0.237391i
\(741\) −11.9048 0.714576i −0.437335 0.0262506i
\(742\) 23.1401 39.1628i 0.849498 1.43771i
\(743\) 2.91986 + 2.24049i 0.107119 + 0.0821956i 0.660932 0.750446i \(-0.270161\pi\)
−0.553813 + 0.832641i \(0.686828\pi\)
\(744\) 9.20614 11.4021i 0.337514 0.418023i
\(745\) −1.03551 + 0.794575i −0.0379381 + 0.0291110i
\(746\) 20.9412 2.54250i 0.766710 0.0930874i
\(747\) 19.9496 + 39.3568i 0.729916 + 1.43999i
\(748\) −2.27132 50.1155i −0.0830477 1.83240i
\(749\) −3.87928 3.40204i −0.141746 0.124308i
\(750\) 7.10221 4.69862i 0.259336 0.171569i
\(751\) 4.64951 17.3522i 0.169663 0.633191i −0.827736 0.561117i \(-0.810372\pi\)
0.997399 0.0720739i \(-0.0229618\pi\)
\(752\) −16.3801 + 25.9007i −0.597321 + 0.944501i
\(753\) 11.6577 0.0640921i 0.424831 0.00233564i
\(754\) −5.45109 8.33887i −0.198517 0.303684i
\(755\) 4.51093 + 0.897279i 0.164169 + 0.0326553i
\(756\) −26.5246 9.11247i −0.964691 0.331417i
\(757\) −17.6377 + 26.3967i −0.641054 + 0.959405i 0.358610 + 0.933487i \(0.383251\pi\)
−0.999664 + 0.0259176i \(0.991749\pi\)
\(758\) −15.9646 + 6.42500i −0.579860 + 0.233367i
\(759\) 48.9983 20.6121i 1.77853 0.748172i
\(760\) −1.82427 + 3.43348i −0.0661733 + 0.124545i
\(761\) 4.39158 5.72322i 0.159195 0.207467i −0.706945 0.707269i \(-0.749927\pi\)
0.866140 + 0.499802i \(0.166594\pi\)
\(762\) −5.12829 0.0234970i −0.185778 0.000851208i
\(763\) 2.08374 6.13849i 0.0754364 0.222228i
\(764\) −7.50460 + 49.3015i −0.271507 + 1.78367i
\(765\) 2.79358 5.82543i 0.101002 0.210619i
\(766\) −10.8648 12.6438i −0.392561 0.456837i
\(767\) −4.54924 + 7.87952i −0.164264 + 0.284513i
\(768\) 7.43162 26.6978i 0.268166 0.963373i
\(769\) −18.6077 32.2295i −0.671011 1.16222i −0.977618 0.210389i \(-0.932527\pi\)
0.306607 0.951836i \(-0.400806\pi\)
\(770\) 1.82316 5.19812i 0.0657021 0.187327i
\(771\) 12.0112 + 34.7548i 0.432572 + 1.25167i
\(772\) 26.6947 + 21.3521i 0.960762 + 0.768478i
\(773\) −18.9027 + 3.75998i −0.679883 +