Properties

Label 605.2.s.b.16.6
Level $605$
Weight $2$
Character 605.16
Analytic conductor $4.831$
Analytic rank $0$
Dimension $880$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.s (of order \(55\), degree \(40\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(880\)
Relative dimension: \(22\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 16.6
Character \(\chi\) \(=\) 605.16
Dual form 605.2.s.b.416.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.56544 - 0.179618i) q^{2} +(1.90128 + 1.38136i) q^{3} +(0.470322 + 0.109369i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(-2.72823 - 2.50395i) q^{6} +(-2.64879 - 2.72554i) q^{7} +(2.25154 + 0.803346i) q^{8} +(0.779664 + 2.39956i) q^{9} +O(q^{10})\) \(q+(-1.56544 - 0.179618i) q^{2} +(1.90128 + 1.38136i) q^{3} +(0.470322 + 0.109369i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(-2.72823 - 2.50395i) q^{6} +(-2.64879 - 2.72554i) q^{7} +(2.25154 + 0.803346i) q^{8} +(0.779664 + 2.39956i) q^{9} +(1.03187 - 1.19084i) q^{10} +(0.907456 - 3.19007i) q^{11} +(0.743138 + 0.857627i) q^{12} +(-0.131046 + 0.217315i) q^{13} +(3.65697 + 4.74245i) q^{14} +(-2.21344 + 0.789755i) q^{15} +(-4.24701 - 2.08811i) q^{16} +(3.47672 - 2.84290i) q^{17} +(-0.789515 - 3.89641i) q^{18} +(5.20092 + 0.297399i) q^{19} +(-0.355751 + 0.326505i) q^{20} +(-1.27114 - 8.84097i) q^{21} +(-1.99356 + 4.83087i) q^{22} +(0.0344520 - 0.239619i) q^{23} +(3.17109 + 4.63758i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(0.244178 - 0.316656i) q^{26} +(0.346377 - 1.06604i) q^{27} +(-0.947696 - 1.57158i) q^{28} +(1.89222 - 4.86012i) q^{29} +(3.60687 - 0.838742i) q^{30} +(4.47021 + 1.88913i) q^{31} +(2.25125 + 1.44679i) q^{32} +(6.13197 - 4.81170i) q^{33} +(-5.95323 + 3.82591i) q^{34} +(3.74495 - 0.648089i) q^{35} +(0.104256 + 1.21384i) q^{36} +(-0.554981 + 6.46153i) q^{37} +(-8.08832 - 1.39974i) q^{38} +(-0.549346 + 0.232155i) q^{39} +(-1.93400 + 1.40514i) q^{40} +(0.676865 - 0.382243i) q^{41} +(0.401900 + 14.0683i) q^{42} +(2.38460 - 0.700182i) q^{43} +(0.775690 - 1.40111i) q^{44} +(-2.42084 - 0.710824i) q^{45} +(-0.0969725 + 0.368922i) q^{46} +(-0.953313 + 4.70479i) q^{47} +(-5.19032 - 9.83676i) q^{48} +(-0.212590 + 7.44162i) q^{49} +(0.400575 + 1.52395i) q^{50} +(10.5373 - 0.602545i) q^{51} +(-0.0854011 + 0.0878756i) q^{52} +(-7.09840 + 3.49005i) q^{53} +(-0.733712 + 1.60660i) q^{54} +(2.12110 + 2.54969i) q^{55} +(-3.77429 - 8.26455i) q^{56} +(9.47760 + 7.74980i) q^{57} +(-3.83512 + 7.26836i) q^{58} +(-0.379350 - 0.214229i) q^{59} +(-1.12741 + 0.129358i) q^{60} +(7.35018 - 0.843355i) q^{61} +(-6.65853 - 3.76024i) q^{62} +(4.47493 - 8.48093i) q^{63} +(4.06304 + 3.32233i) q^{64} +(-0.105419 - 0.230836i) q^{65} +(-10.4635 + 6.43102i) q^{66} +(5.19807 - 11.3822i) q^{67} +(1.94610 - 0.956833i) q^{68} +(0.396504 - 0.407993i) q^{69} +(-5.97891 + 0.341886i) q^{70} +(-3.47201 - 13.2089i) q^{71} +(-0.172236 + 6.02903i) q^{72} +(2.10516 + 3.98972i) q^{73} +(2.02940 - 10.0155i) q^{74} +(0.597443 - 2.27291i) q^{75} +(2.41358 + 0.708691i) q^{76} +(-11.0983 + 5.97651i) q^{77} +(0.901668 - 0.264754i) q^{78} +(-0.416684 - 14.5858i) q^{79} +(4.12087 - 2.32716i) q^{80} +(8.25471 - 5.99740i) q^{81} +(-1.12825 + 0.476803i) q^{82} +(-2.86750 - 0.496241i) q^{83} +(0.369080 - 4.29713i) q^{84} +(0.384323 + 4.47459i) q^{85} +(-3.85872 + 0.667778i) q^{86} +(10.3112 - 6.62663i) q^{87} +(4.60590 - 6.45355i) q^{88} +(2.74169 + 1.76198i) q^{89} +(3.66201 + 1.54758i) q^{90} +(0.939413 - 0.218451i) q^{91} +(0.0424104 - 0.108930i) q^{92} +(5.88956 + 9.76674i) q^{93} +(2.33742 - 7.19384i) q^{94} +(-3.18112 + 4.12535i) q^{95} +(2.28172 + 5.86055i) q^{96} +(4.83614 + 7.07263i) q^{97} +(1.66945 - 11.6112i) q^{98} +(8.36226 - 0.309686i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} + O(q^{10}) \) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} - 6q^{10} + 5q^{11} - 5q^{12} - 26q^{13} - 108q^{14} - 12q^{15} + 34q^{16} - q^{17} - 14q^{18} + q^{19} + 19q^{20} - 10q^{21} + 275q^{22} - 51q^{23} + 283q^{24} + 22q^{25} - 16q^{27} - 4q^{28} - 19q^{29} + q^{30} - 34q^{31} - 122q^{32} + 19q^{33} + 52q^{34} + 8q^{35} - 21q^{36} - 109q^{37} - 10q^{38} - 9q^{39} - 64q^{40} + 4q^{41} - 49q^{42} - 97q^{43} + 17q^{44} - 80q^{45} - 91q^{46} + 166q^{47} - 159q^{48} + 175q^{49} + 4q^{50} - 112q^{51} - 128q^{52} - 141q^{53} - 37q^{54} - 5q^{55} + 79q^{56} - 204q^{57} - 190q^{58} + 9q^{59} - 22q^{60} + 2q^{61} - 105q^{62} - q^{63} - 176q^{64} - 14q^{65} - 112q^{66} - 13q^{67} - 35q^{68} - 53q^{69} + 24q^{70} - 50q^{71} + 705q^{72} + q^{73} + 40q^{74} - q^{75} - 148q^{76} - 104q^{77} - 187q^{78} - 83q^{79} - q^{80} - 238q^{81} - 54q^{82} - 151q^{83} + 4q^{84} - 29q^{85} - 39q^{86} - 74q^{87} - 143q^{88} - 52q^{89} - 28q^{90} - 188q^{91} - 253q^{92} + 122q^{93} - 187q^{94} + 122q^{95} - 155q^{96} + 283q^{97} - 92q^{98} + 172q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{55}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.56544 0.179618i −1.10693 0.127009i −0.458804 0.888538i \(-0.651722\pi\)
−0.648131 + 0.761529i \(0.724449\pi\)
\(3\) 1.90128 + 1.38136i 1.09771 + 0.797531i 0.980684 0.195599i \(-0.0626650\pi\)
0.117023 + 0.993129i \(0.462665\pi\)
\(4\) 0.470322 + 0.109369i 0.235161 + 0.0546844i
\(5\) −0.564443 + 0.825472i −0.252427 + 0.369162i
\(6\) −2.72823 2.50395i −1.11380 1.02223i
\(7\) −2.64879 2.72554i −1.00115 1.03016i −0.999545 0.0301588i \(-0.990399\pi\)
−0.00160345 0.999999i \(-0.500510\pi\)
\(8\) 2.25154 + 0.803346i 0.796038 + 0.284026i
\(9\) 0.779664 + 2.39956i 0.259888 + 0.799853i
\(10\) 1.03187 1.19084i 0.326307 0.376578i
\(11\) 0.907456 3.19007i 0.273608 0.961841i
\(12\) 0.743138 + 0.857627i 0.214525 + 0.247575i
\(13\) −0.131046 + 0.217315i −0.0363455 + 0.0602723i −0.873991 0.485941i \(-0.838477\pi\)
0.837646 + 0.546214i \(0.183931\pi\)
\(14\) 3.65697 + 4.74245i 0.977367 + 1.26747i
\(15\) −2.21344 + 0.789755i −0.571509 + 0.203914i
\(16\) −4.24701 2.08811i −1.06175 0.522028i
\(17\) 3.47672 2.84290i 0.843228 0.689504i −0.109282 0.994011i \(-0.534855\pi\)
0.952510 + 0.304507i \(0.0984917\pi\)
\(18\) −0.789515 3.89641i −0.186091 0.918393i
\(19\) 5.20092 + 0.297399i 1.19317 + 0.0682281i 0.642361 0.766402i \(-0.277955\pi\)
0.550811 + 0.834630i \(0.314319\pi\)
\(20\) −0.355751 + 0.326505i −0.0795483 + 0.0730088i
\(21\) −1.27114 8.84097i −0.277385 1.92926i
\(22\) −1.99356 + 4.83087i −0.425029 + 1.02994i
\(23\) 0.0344520 0.239619i 0.00718375 0.0499641i −0.985914 0.167252i \(-0.946511\pi\)
0.993098 + 0.117287i \(0.0374199\pi\)
\(24\) 3.17109 + 4.63758i 0.647297 + 0.946642i
\(25\) −0.362808 0.931864i −0.0725615 0.186373i
\(26\) 0.244178 0.316656i 0.0478872 0.0621013i
\(27\) 0.346377 1.06604i 0.0666602 0.205159i
\(28\) −0.947696 1.57158i −0.179098 0.297000i
\(29\) 1.89222 4.86012i 0.351376 0.902502i −0.639630 0.768683i \(-0.720912\pi\)
0.991006 0.133819i \(-0.0427240\pi\)
\(30\) 3.60687 0.838742i 0.658522 0.153133i
\(31\) 4.47021 + 1.88913i 0.802873 + 0.339297i 0.751794 0.659398i \(-0.229189\pi\)
0.0510785 + 0.998695i \(0.483734\pi\)
\(32\) 2.25125 + 1.44679i 0.397968 + 0.255759i
\(33\) 6.13197 4.81170i 1.06744 0.837609i
\(34\) −5.95323 + 3.82591i −1.02097 + 0.656138i
\(35\) 3.74495 0.648089i 0.633012 0.109547i
\(36\) 0.104256 + 1.21384i 0.0173761 + 0.202306i
\(37\) −0.554981 + 6.46153i −0.0912383 + 1.06227i 0.797336 + 0.603536i \(0.206242\pi\)
−0.888574 + 0.458733i \(0.848303\pi\)
\(38\) −8.08832 1.39974i −1.31210 0.227068i
\(39\) −0.549346 + 0.232155i −0.0879657 + 0.0371746i
\(40\) −1.93400 + 1.40514i −0.305793 + 0.222171i
\(41\) 0.676865 0.382243i 0.105709 0.0596964i −0.437972 0.898989i \(-0.644303\pi\)
0.543681 + 0.839292i \(0.317030\pi\)
\(42\) 0.401900 + 14.0683i 0.0620145 + 2.17079i
\(43\) 2.38460 0.700182i 0.363648 0.106777i −0.0948037 0.995496i \(-0.530222\pi\)
0.458452 + 0.888719i \(0.348404\pi\)
\(44\) 0.775690 1.40111i 0.116940 0.211225i
\(45\) −2.42084 0.710824i −0.360878 0.105963i
\(46\) −0.0969725 + 0.368922i −0.0142978 + 0.0543945i
\(47\) −0.953313 + 4.70479i −0.139055 + 0.686264i 0.848526 + 0.529154i \(0.177490\pi\)
−0.987581 + 0.157110i \(0.949782\pi\)
\(48\) −5.19032 9.83676i −0.749159 1.41981i
\(49\) −0.212590 + 7.44162i −0.0303700 + 1.06309i
\(50\) 0.400575 + 1.52395i 0.0566499 + 0.215518i
\(51\) 10.5373 0.602545i 1.47552 0.0843731i
\(52\) −0.0854011 + 0.0878756i −0.0118430 + 0.0121862i
\(53\) −7.09840 + 3.49005i −0.975040 + 0.479395i −0.857954 0.513727i \(-0.828264\pi\)
−0.117086 + 0.993122i \(0.537355\pi\)
\(54\) −0.733712 + 1.60660i −0.0998455 + 0.218631i
\(55\) 2.12110 + 2.54969i 0.286009 + 0.343800i
\(56\) −3.77429 8.26455i −0.504361 1.10440i
\(57\) 9.47760 + 7.74980i 1.25534 + 1.02649i
\(58\) −3.83512 + 7.26836i −0.503576 + 0.954383i
\(59\) −0.379350 0.214229i −0.0493872 0.0278902i 0.466842 0.884341i \(-0.345392\pi\)
−0.516229 + 0.856451i \(0.672665\pi\)
\(60\) −1.12741 + 0.129358i −0.145547 + 0.0167000i
\(61\) 7.35018 0.843355i 0.941094 0.107981i 0.370152 0.928971i \(-0.379305\pi\)
0.570942 + 0.820991i \(0.306578\pi\)
\(62\) −6.65853 3.76024i −0.845634 0.477551i
\(63\) 4.47493 8.48093i 0.563788 1.06850i
\(64\) 4.06304 + 3.32233i 0.507880 + 0.415292i
\(65\) −0.105419 0.230836i −0.0130757 0.0286317i
\(66\) −10.4635 + 6.43102i −1.28797 + 0.791604i
\(67\) 5.19807 11.3822i 0.635045 1.39055i −0.269010 0.963137i \(-0.586696\pi\)
0.904055 0.427417i \(-0.140576\pi\)
\(68\) 1.94610 0.956833i 0.235999 0.116033i
\(69\) 0.396504 0.407993i 0.0477335 0.0491166i
\(70\) −5.97891 + 0.341886i −0.714616 + 0.0408632i
\(71\) −3.47201 13.2089i −0.412051 1.56761i −0.772617 0.634872i \(-0.781053\pi\)
0.360566 0.932734i \(-0.382584\pi\)
\(72\) −0.172236 + 6.02903i −0.0202982 + 0.710528i
\(73\) 2.10516 + 3.98972i 0.246390 + 0.466961i 0.976253 0.216632i \(-0.0695072\pi\)
−0.729863 + 0.683593i \(0.760416\pi\)
\(74\) 2.02940 10.0155i 0.235912 1.16427i
\(75\) 0.597443 2.27291i 0.0689867 0.262453i
\(76\) 2.41358 + 0.708691i 0.276857 + 0.0812924i
\(77\) −11.0983 + 5.97651i −1.26477 + 0.681086i
\(78\) 0.901668 0.264754i 0.102094 0.0299774i
\(79\) −0.416684 14.5858i −0.0468806 1.64103i −0.594348 0.804208i \(-0.702590\pi\)
0.547468 0.836827i \(-0.315592\pi\)
\(80\) 4.12087 2.32716i 0.460728 0.260185i
\(81\) 8.25471 5.99740i 0.917190 0.666377i
\(82\) −1.12825 + 0.476803i −0.124595 + 0.0526541i
\(83\) −2.86750 0.496241i −0.314750 0.0544696i 0.0109585 0.999940i \(-0.496512\pi\)
−0.325708 + 0.945470i \(0.605603\pi\)
\(84\) 0.369080 4.29713i 0.0402700 0.468855i
\(85\) 0.384323 + 4.47459i 0.0416856 + 0.485337i
\(86\) −3.85872 + 0.667778i −0.416096 + 0.0720083i
\(87\) 10.3112 6.62663i 1.10548 0.710449i
\(88\) 4.60590 6.45355i 0.490990 0.687950i
\(89\) 2.74169 + 1.76198i 0.290619 + 0.186769i 0.677824 0.735224i \(-0.262923\pi\)
−0.387205 + 0.921994i \(0.626559\pi\)
\(90\) 3.66201 + 1.54758i 0.386010 + 0.163129i
\(91\) 0.939413 0.218451i 0.0984772 0.0228999i
\(92\) 0.0424104 0.108930i 0.00442159 0.0113568i
\(93\) 5.88956 + 9.76674i 0.610719 + 1.01276i
\(94\) 2.33742 7.19384i 0.241086 0.741988i
\(95\) −3.18112 + 4.12535i −0.326376 + 0.423252i
\(96\) 2.28172 + 5.86055i 0.232877 + 0.598140i
\(97\) 4.83614 + 7.07263i 0.491035 + 0.718117i 0.988808 0.149191i \(-0.0476669\pi\)
−0.497773 + 0.867307i \(0.665849\pi\)
\(98\) 1.66945 11.6112i 0.168639 1.17291i
\(99\) 8.36226 0.309686i 0.840439 0.0311246i
\(100\) −0.0687197 0.477956i −0.00687197 0.0477956i
\(101\) 9.13978 8.38842i 0.909442 0.834679i −0.0772943 0.997008i \(-0.524628\pi\)
0.986737 + 0.162330i \(0.0519008\pi\)
\(102\) −16.6038 0.949437i −1.64402 0.0940083i
\(103\) 2.45779 + 12.1297i 0.242173 + 1.19517i 0.897909 + 0.440181i \(0.145086\pi\)
−0.655736 + 0.754990i \(0.727642\pi\)
\(104\) −0.469633 + 0.384017i −0.0460513 + 0.0376560i
\(105\) 8.01546 + 3.94093i 0.782229 + 0.384596i
\(106\) 11.7390 4.18847i 1.14019 0.406820i
\(107\) −4.79071 6.21271i −0.463136 0.600605i 0.501185 0.865340i \(-0.332897\pi\)
−0.964321 + 0.264735i \(0.914716\pi\)
\(108\) 0.279500 0.463498i 0.0268949 0.0446001i
\(109\) −10.7966 12.4599i −1.03413 1.19345i −0.980830 0.194868i \(-0.937572\pi\)
−0.0532977 0.998579i \(-0.516973\pi\)
\(110\) −2.86249 4.37238i −0.272928 0.416890i
\(111\) −9.98090 + 11.5186i −0.947345 + 1.09329i
\(112\) 5.55819 + 17.1064i 0.525200 + 1.61640i
\(113\) −6.48790 2.31488i −0.610330 0.217765i 0.0127557 0.999919i \(-0.495940\pi\)
−0.623086 + 0.782153i \(0.714121\pi\)
\(114\) −13.4446 13.8342i −1.25921 1.29569i
\(115\) 0.178353 + 0.163691i 0.0166315 + 0.0152642i
\(116\) 1.42150 2.07887i 0.131983 0.193019i
\(117\) −0.623631 0.145019i −0.0576547 0.0134070i
\(118\) 0.555372 + 0.403501i 0.0511261 + 0.0371453i
\(119\) −16.9575 1.94569i −1.55449 0.178362i
\(120\) −5.61809 −0.512859
\(121\) −9.35305 5.78969i −0.850277 0.526335i
\(122\) −11.6578 −1.05544
\(123\) 1.81493 + 0.208244i 0.163647 + 0.0187767i
\(124\) 1.89583 + 1.37740i 0.170250 + 0.123694i
\(125\) 0.974012 + 0.226497i 0.0871183 + 0.0202585i
\(126\) −8.52857 + 12.4726i −0.759785 + 1.11115i
\(127\) 13.0853 + 12.0096i 1.16113 + 1.06568i 0.996854 + 0.0792652i \(0.0252574\pi\)
0.164280 + 0.986414i \(0.447470\pi\)
\(128\) −9.49380 9.76889i −0.839142 0.863456i
\(129\) 5.50101 + 1.96276i 0.484337 + 0.172811i
\(130\) 0.123566 + 0.380296i 0.0108374 + 0.0333542i
\(131\) −6.12551 + 7.06921i −0.535188 + 0.617640i −0.957368 0.288872i \(-0.906720\pi\)
0.422180 + 0.906512i \(0.361265\pi\)
\(132\) 3.41025 1.59240i 0.296824 0.138601i
\(133\) −12.9656 14.9631i −1.12426 1.29746i
\(134\) −10.1817 + 16.8845i −0.879566 + 1.45860i
\(135\) 0.684474 + 0.887642i 0.0589102 + 0.0763961i
\(136\) 10.1118 3.60788i 0.867078 0.309373i
\(137\) −12.4179 6.10545i −1.06093 0.521624i −0.174581 0.984643i \(-0.555857\pi\)
−0.886348 + 0.463019i \(0.846766\pi\)
\(138\) −0.693987 + 0.567471i −0.0590761 + 0.0483063i
\(139\) 1.93791 + 9.56398i 0.164372 + 0.811207i 0.974401 + 0.224817i \(0.0721784\pi\)
−0.810029 + 0.586389i \(0.800549\pi\)
\(140\) 1.83221 + 0.104770i 0.154850 + 0.00885466i
\(141\) −8.31154 + 7.62826i −0.699958 + 0.642416i
\(142\) 3.06268 + 21.3014i 0.257014 + 1.78757i
\(143\) 0.574330 + 0.615248i 0.0480279 + 0.0514496i
\(144\) 1.69931 11.8190i 0.141609 0.984914i
\(145\) 2.94384 + 4.30524i 0.244473 + 0.357530i
\(146\) −2.57888 6.62380i −0.213430 0.548189i
\(147\) −10.6838 + 13.8550i −0.881184 + 1.14274i
\(148\) −0.967709 + 2.97830i −0.0795452 + 0.244815i
\(149\) −4.51934 7.49448i −0.370238 0.613971i 0.614314 0.789062i \(-0.289433\pi\)
−0.984552 + 0.175090i \(0.943978\pi\)
\(150\) −1.34352 + 3.45079i −0.109698 + 0.281756i
\(151\) −20.2117 + 4.70003i −1.64481 + 0.382483i −0.943759 0.330633i \(-0.892738\pi\)
−0.701046 + 0.713116i \(0.747283\pi\)
\(152\) 11.4711 + 4.84774i 0.930432 + 0.393204i
\(153\) 9.53237 + 6.12608i 0.770646 + 0.495264i
\(154\) 18.4473 7.36242i 1.48652 0.593281i
\(155\) −4.08260 + 2.62373i −0.327922 + 0.210743i
\(156\) −0.283760 + 0.0491066i −0.0227190 + 0.00393167i
\(157\) 1.46999 + 17.1148i 0.117318 + 1.36591i 0.784091 + 0.620646i \(0.213130\pi\)
−0.666773 + 0.745261i \(0.732325\pi\)
\(158\) −1.96758 + 22.9081i −0.156532 + 1.82247i
\(159\) −18.3171 3.16990i −1.45264 0.251389i
\(160\) −2.46499 + 1.04171i −0.194874 + 0.0823545i
\(161\) −0.744348 + 0.540801i −0.0586629 + 0.0426211i
\(162\) −13.9995 + 7.90588i −1.09990 + 0.621145i
\(163\) 0.233148 + 8.16125i 0.0182616 + 0.639238i 0.956247 + 0.292562i \(0.0945078\pi\)
−0.937985 + 0.346676i \(0.887310\pi\)
\(164\) 0.360150 0.105750i 0.0281230 0.00825766i
\(165\) 0.510769 + 7.77770i 0.0397633 + 0.605493i
\(166\) 4.39978 + 1.29189i 0.341489 + 0.100270i
\(167\) −2.77587 + 10.5605i −0.214803 + 0.817197i 0.769194 + 0.639015i \(0.220658\pi\)
−0.983998 + 0.178182i \(0.942978\pi\)
\(168\) 4.24034 20.9269i 0.327150 1.61455i
\(169\) 6.03662 + 11.4407i 0.464356 + 0.880052i
\(170\) 0.202080 7.07374i 0.0154989 0.542531i
\(171\) 3.34134 + 12.7118i 0.255519 + 0.972094i
\(172\) 1.19811 0.0685103i 0.0913549 0.00522386i
\(173\) −7.87239 + 8.10050i −0.598527 + 0.615870i −0.946916 0.321480i \(-0.895820\pi\)
0.348389 + 0.937350i \(0.386729\pi\)
\(174\) −17.3319 + 8.52152i −1.31393 + 0.646015i
\(175\) −1.57883 + 3.45716i −0.119348 + 0.261337i
\(176\) −10.5152 + 11.6534i −0.792612 + 0.878406i
\(177\) −0.425325 0.931331i −0.0319694 0.0700031i
\(178\) −3.97548 3.25073i −0.297975 0.243653i
\(179\) 10.8876 20.6343i 0.813779 1.54228i −0.0261961 0.999657i \(-0.508339\pi\)
0.839975 0.542625i \(-0.182570\pi\)
\(180\) −1.06083 0.599081i −0.0790699 0.0446528i
\(181\) −17.0738 + 1.95904i −1.26909 + 0.145614i −0.722254 0.691628i \(-0.756894\pi\)
−0.546833 + 0.837242i \(0.684167\pi\)
\(182\) −1.50983 + 0.173237i −0.111916 + 0.0128412i
\(183\) 15.1398 + 8.54982i 1.11916 + 0.632021i
\(184\) 0.270067 0.511834i 0.0199096 0.0377329i
\(185\) −5.02055 4.10529i −0.369118 0.301827i
\(186\) −7.46549 16.3471i −0.547396 1.19863i
\(187\) −5.91406 13.6708i −0.432479 0.999705i
\(188\) −0.962921 + 2.10850i −0.0702282 + 0.153778i
\(189\) −3.82301 + 1.87965i −0.278083 + 0.136724i
\(190\) 5.72084 5.88660i 0.415033 0.427059i
\(191\) 22.0678 1.26188i 1.59677 0.0913067i 0.764109 0.645087i \(-0.223179\pi\)
0.832663 + 0.553781i \(0.186815\pi\)
\(192\) 3.13565 + 11.9292i 0.226296 + 0.860918i
\(193\) 0.362717 12.6968i 0.0261090 0.913933i −0.875971 0.482364i \(-0.839778\pi\)
0.902080 0.431569i \(-0.142040\pi\)
\(194\) −6.30032 11.9404i −0.452337 0.857274i
\(195\) 0.118437 0.584508i 0.00848143 0.0418575i
\(196\) −0.913867 + 3.47671i −0.0652762 + 0.248336i
\(197\) −11.3547 3.33404i −0.808989 0.237541i −0.149021 0.988834i \(-0.547612\pi\)
−0.659968 + 0.751294i \(0.729430\pi\)
\(198\) −13.1463 1.01722i −0.934264 0.0722903i
\(199\) 4.56574 1.34062i 0.323657 0.0950343i −0.115868 0.993265i \(-0.536965\pi\)
0.439525 + 0.898230i \(0.355147\pi\)
\(200\) −0.0682649 2.38958i −0.00482706 0.168969i
\(201\) 25.6059 14.4603i 1.80610 1.01995i
\(202\) −15.8145 + 11.4899i −1.11270 + 0.808427i
\(203\) −18.2585 + 7.71613i −1.28150 + 0.541566i
\(204\) 5.02182 + 0.869061i 0.351598 + 0.0608464i
\(205\) −0.0665208 + 0.774488i −0.00464602 + 0.0540926i
\(206\) −1.66882 19.4297i −0.116272 1.35373i
\(207\) 0.601841 0.104153i 0.0418309 0.00723912i
\(208\) 1.01033 0.649299i 0.0700538 0.0450208i
\(209\) 5.66833 16.3214i 0.392086 1.12897i
\(210\) −11.8399 7.60902i −0.817029 0.525072i
\(211\) 12.2907 + 5.19411i 0.846130 + 0.357578i 0.768848 0.639432i \(-0.220830\pi\)
0.0772822 + 0.997009i \(0.475376\pi\)
\(212\) −3.72023 + 0.865103i −0.255507 + 0.0594155i
\(213\) 11.6450 29.9099i 0.797902 2.04940i
\(214\) 6.38367 + 10.5861i 0.436379 + 0.723653i
\(215\) −0.767991 + 2.36363i −0.0523766 + 0.161198i
\(216\) 1.63628 2.12196i 0.111335 0.144381i
\(217\) −6.69175 17.1876i −0.454266 1.16677i
\(218\) 14.6634 + 21.4446i 0.993133 + 1.45241i
\(219\) −1.50875 + 10.4936i −0.101952 + 0.709090i
\(220\) 0.718745 + 1.43116i 0.0484578 + 0.0964887i
\(221\) 0.162195 + 1.12809i 0.0109104 + 0.0758836i
\(222\) 17.6935 16.2389i 1.18751 1.08988i
\(223\) −6.55761 0.374978i −0.439130 0.0251104i −0.163874 0.986481i \(-0.552399\pi\)
−0.275256 + 0.961371i \(0.588763\pi\)
\(224\) −2.01980 9.96811i −0.134954 0.666022i
\(225\) 1.95319 1.59712i 0.130213 0.106475i
\(226\) 9.74064 + 4.78915i 0.647938 + 0.318570i
\(227\) −10.2379 + 3.65287i −0.679513 + 0.242450i −0.653179 0.757204i \(-0.726565\pi\)
−0.0263337 + 0.999653i \(0.508383\pi\)
\(228\) 3.60994 + 4.68145i 0.239074 + 0.310037i
\(229\) −5.84447 + 9.69197i −0.386214 + 0.640463i −0.987327 0.158700i \(-0.949270\pi\)
0.601113 + 0.799164i \(0.294724\pi\)
\(230\) −0.249799 0.288283i −0.0164713 0.0190088i
\(231\) −29.3568 3.96777i −1.93153 0.261060i
\(232\) 8.16476 9.42263i 0.536042 0.618626i
\(233\) 3.01626 + 9.28309i 0.197602 + 0.608156i 0.999936 + 0.0112811i \(0.00359096\pi\)
−0.802335 + 0.596874i \(0.796409\pi\)
\(234\) 0.950210 + 0.339034i 0.0621172 + 0.0221634i
\(235\) −3.34558 3.44252i −0.218241 0.224565i
\(236\) −0.154987 0.142246i −0.0100888 0.00925941i
\(237\) 19.3561 28.3074i 1.25731 1.83876i
\(238\) 26.1965 + 6.09174i 1.69807 + 0.394869i
\(239\) 8.58677 + 6.23865i 0.555432 + 0.403545i 0.829784 0.558084i \(-0.188463\pi\)
−0.274352 + 0.961629i \(0.588463\pi\)
\(240\) 11.0496 + 1.26782i 0.713249 + 0.0818377i
\(241\) −10.9418 −0.704823 −0.352412 0.935845i \(-0.614638\pi\)
−0.352412 + 0.935845i \(0.614638\pi\)
\(242\) 13.6017 + 10.7434i 0.874352 + 0.690612i
\(243\) 20.6164 1.32254
\(244\) 3.54919 + 0.407231i 0.227214 + 0.0260703i
\(245\) −6.02286 4.37586i −0.384786 0.279564i
\(246\) −2.80376 0.651987i −0.178761 0.0415692i
\(247\) −0.746187 + 1.09126i −0.0474787 + 0.0694354i
\(248\) 8.54721 + 7.84455i 0.542748 + 0.498130i
\(249\) −4.76645 4.90456i −0.302062 0.310814i
\(250\) −1.48408 0.529517i −0.0938612 0.0334896i
\(251\) 3.51966 + 10.8324i 0.222159 + 0.683734i 0.998568 + 0.0535048i \(0.0170393\pi\)
−0.776409 + 0.630230i \(0.782961\pi\)
\(252\) 3.03221 3.49935i 0.191011 0.220438i
\(253\) −0.733137 0.327348i −0.0460920 0.0205802i
\(254\) −18.3272 21.1507i −1.14995 1.32711i
\(255\) −5.45032 + 9.03835i −0.341313 + 0.566003i
\(256\) 6.69743 + 8.68538i 0.418589 + 0.542836i
\(257\) 17.7148 6.32063i 1.10502 0.394270i 0.280357 0.959896i \(-0.409547\pi\)
0.824662 + 0.565626i \(0.191365\pi\)
\(258\) −8.25896 4.06066i −0.514181 0.252806i
\(259\) 19.0812 15.6026i 1.18565 0.969499i
\(260\) −0.0243348 0.120097i −0.00150918 0.00744810i
\(261\) 13.1374 + 0.751226i 0.813187 + 0.0464997i
\(262\) 10.8589 9.96619i 0.670864 0.615713i
\(263\) −0.354542 2.46589i −0.0218620 0.152053i 0.975966 0.217921i \(-0.0699276\pi\)
−0.997828 + 0.0658677i \(0.979018\pi\)
\(264\) 17.6718 5.90760i 1.08762 0.363588i
\(265\) 1.12571 7.82946i 0.0691516 0.480960i
\(266\) 17.6092 + 25.7526i 1.07969 + 1.57900i
\(267\) 2.77880 + 7.13730i 0.170060 + 0.436796i
\(268\) 3.68962 4.78478i 0.225379 0.292277i
\(269\) −6.68364 + 20.5701i −0.407509 + 1.25418i 0.511273 + 0.859418i \(0.329174\pi\)
−0.918782 + 0.394765i \(0.870826\pi\)
\(270\) −0.912069 1.51250i −0.0555067 0.0920476i
\(271\) −6.32130 + 16.2361i −0.383992 + 0.986274i 0.598691 + 0.800980i \(0.295688\pi\)
−0.982683 + 0.185295i \(0.940676\pi\)
\(272\) −20.7019 + 4.81403i −1.25524 + 0.291893i
\(273\) 2.08785 + 0.882333i 0.126362 + 0.0534012i
\(274\) 18.3428 + 11.7882i 1.10813 + 0.712151i
\(275\) −3.30194 + 0.311755i −0.199114 + 0.0187995i
\(276\) 0.231106 0.148523i 0.0139110 0.00894004i
\(277\) 1.94783 0.337085i 0.117034 0.0202535i −0.111704 0.993741i \(-0.535631\pi\)
0.228738 + 0.973488i \(0.426540\pi\)
\(278\) −1.31583 15.3199i −0.0789183 0.918829i
\(279\) −1.04781 + 12.1994i −0.0627306 + 0.730359i
\(280\) 8.95252 + 1.54930i 0.535016 + 0.0925881i
\(281\) 7.31242 3.09025i 0.436222 0.184349i −0.160089 0.987103i \(-0.551178\pi\)
0.596311 + 0.802754i \(0.296633\pi\)
\(282\) 14.3814 10.4487i 0.856400 0.622211i
\(283\) −21.8098 + 12.3166i −1.29646 + 0.732145i −0.976548 0.215302i \(-0.930927\pi\)
−0.319913 + 0.947447i \(0.603654\pi\)
\(284\) −0.188323 6.59216i −0.0111749 0.391173i
\(285\) −11.7468 + 3.44917i −0.695821 + 0.204311i
\(286\) −0.788572 1.06629i −0.0466292 0.0630513i
\(287\) −2.83469 0.832341i −0.167327 0.0491316i
\(288\) −1.71644 + 6.53001i −0.101142 + 0.384785i
\(289\) 0.629458 3.10650i 0.0370269 0.182735i
\(290\) −3.83512 7.26836i −0.225206 0.426813i
\(291\) −0.574997 + 20.1275i −0.0337069 + 1.17990i
\(292\) 0.553752 + 2.10669i 0.0324059 + 0.123285i
\(293\) −13.1413 + 0.751444i −0.767721 + 0.0438999i −0.436561 0.899675i \(-0.643804\pi\)
−0.331160 + 0.943575i \(0.607440\pi\)
\(294\) 19.2134 19.7702i 1.12055 1.15302i
\(295\) 0.390962 0.192223i 0.0227627 0.0111917i
\(296\) −6.44040 + 14.1025i −0.374341 + 0.819692i
\(297\) −3.08641 2.07235i −0.179092 0.120250i
\(298\) 5.72862 + 12.5439i 0.331850 + 0.726650i
\(299\) 0.0475580 + 0.0388880i 0.00275035 + 0.00224895i
\(300\) 0.529575 1.00366i 0.0305750 0.0579462i
\(301\) −8.22468 4.64469i −0.474063 0.267716i
\(302\) 32.4845 3.72725i 1.86927 0.214479i
\(303\) 28.9648 3.32340i 1.66398 0.190924i
\(304\) −21.4673 12.1232i −1.23124 0.695311i
\(305\) −3.45259 + 6.54339i −0.197695 + 0.374674i
\(306\) −13.8220 11.3022i −0.790152 0.646104i
\(307\) 4.53365 + 9.92730i 0.258749 + 0.566581i 0.993768 0.111465i \(-0.0355543\pi\)
−0.735020 + 0.678046i \(0.762827\pi\)
\(308\) −5.87343 + 1.59708i −0.334669 + 0.0910018i
\(309\) −12.0825 + 26.4570i −0.687350 + 1.50509i
\(310\) 6.86234 3.37398i 0.389755 0.191629i
\(311\) 19.2780 19.8366i 1.09315 1.12483i 0.101641 0.994821i \(-0.467591\pi\)
0.991513 0.130008i \(-0.0415004\pi\)
\(312\) −1.42337 + 0.0813914i −0.0805826 + 0.00460788i
\(313\) −1.83492 6.98075i −0.103716 0.394575i 0.894953 0.446161i \(-0.147209\pi\)
−0.998669 + 0.0515852i \(0.983573\pi\)
\(314\) 0.772934 27.0562i 0.0436192 1.52687i
\(315\) 4.47493 + 8.48093i 0.252134 + 0.477846i
\(316\) 1.39926 6.90561i 0.0787144 0.388471i
\(317\) 3.35530 12.7649i 0.188453 0.716948i −0.804033 0.594585i \(-0.797316\pi\)
0.992485 0.122363i \(-0.0390473\pi\)
\(318\) 28.1050 + 8.25236i 1.57605 + 0.462770i
\(319\) −13.7870 10.4466i −0.771924 0.584900i
\(320\) −5.03585 + 1.47866i −0.281512 + 0.0826595i
\(321\) −0.526498 18.4298i −0.0293863 1.02865i
\(322\) 1.26237 0.712894i 0.0703492 0.0397280i
\(323\) 18.9276 13.7517i 1.05316 0.765165i
\(324\) 4.53830 1.91790i 0.252128 0.106550i
\(325\) 0.250052 + 0.0432732i 0.0138704 + 0.00240037i
\(326\) 1.10092 12.8178i 0.0609746 0.709914i
\(327\) −3.31569 38.6039i −0.183358 2.13480i
\(328\) 1.83106 0.316877i 0.101103 0.0174966i
\(329\) 15.3482 9.86370i 0.846174 0.543803i
\(330\) 0.597434 12.2673i 0.0328877 0.675292i
\(331\) 11.0099 + 7.07562i 0.605158 + 0.388911i 0.807038 0.590499i \(-0.201069\pi\)
−0.201881 + 0.979410i \(0.564705\pi\)
\(332\) −1.29438 0.547008i −0.0710382 0.0300210i
\(333\) −15.9375 + 3.70611i −0.873370 + 0.203094i
\(334\) 6.24232 16.0333i 0.341565 0.877302i
\(335\) 6.46165 + 10.7154i 0.353038 + 0.585448i
\(336\) −13.0624 + 40.2019i −0.712613 + 2.19320i
\(337\) 18.5071 24.0005i 1.00815 1.30739i 0.0570933 0.998369i \(-0.481817\pi\)
0.951055 0.309021i \(-0.100001\pi\)
\(338\) −7.39503 18.9940i −0.402237 1.03314i
\(339\) −9.13765 13.3634i −0.496289 0.725800i
\(340\) −0.308624 + 2.14653i −0.0167375 + 0.116412i
\(341\) 10.0829 12.5460i 0.546022 0.679402i
\(342\) −2.94741 20.4997i −0.159378 1.10850i
\(343\) 1.24508 1.14272i 0.0672281 0.0617013i
\(344\) 5.93150 + 0.339175i 0.319805 + 0.0182871i
\(345\) 0.112983 + 0.557592i 0.00608279 + 0.0300198i
\(346\) 13.7788 11.2668i 0.740751 0.605709i
\(347\) 1.88348 + 0.926045i 0.101111 + 0.0497127i 0.491076 0.871117i \(-0.336604\pi\)
−0.389965 + 0.920830i \(0.627513\pi\)
\(348\) 5.57435 1.98892i 0.298816 0.106617i
\(349\) 14.7653 + 19.1479i 0.790366 + 1.02496i 0.998897 + 0.0469491i \(0.0149499\pi\)
−0.208531 + 0.978016i \(0.566868\pi\)
\(350\) 3.09254 5.12840i 0.165303 0.274124i
\(351\) 0.186275 + 0.214972i 0.00994260 + 0.0114744i
\(352\) 6.65826 5.86873i 0.354887 0.312805i
\(353\) −1.12979 + 1.30384i −0.0601325 + 0.0693966i −0.785019 0.619472i \(-0.787347\pi\)
0.724886 + 0.688868i \(0.241892\pi\)
\(354\) 0.498538 + 1.53434i 0.0264970 + 0.0815493i
\(355\) 12.8633 + 4.58962i 0.682714 + 0.243592i
\(356\) 1.09677 + 1.12855i 0.0581289 + 0.0598132i
\(357\) −29.5534 27.1238i −1.56413 1.43555i
\(358\) −20.7502 + 30.3462i −1.09668 + 1.60385i
\(359\) −19.4561 4.52431i −1.02685 0.238784i −0.320952 0.947096i \(-0.604003\pi\)
−0.705900 + 0.708311i \(0.749457\pi\)
\(360\) −4.87958 3.54522i −0.257176 0.186850i
\(361\) 8.08494 + 0.927661i 0.425523 + 0.0488242i
\(362\) 27.0799 1.42329
\(363\) −9.78513 23.9278i −0.513586 1.25588i
\(364\) 0.465718 0.0244103
\(365\) −4.48164 0.514221i −0.234580 0.0269155i
\(366\) −22.1647 16.1036i −1.15857 0.841749i
\(367\) −15.1749 3.52877i −0.792123 0.184200i −0.189136 0.981951i \(-0.560569\pi\)
−0.602988 + 0.797751i \(0.706023\pi\)
\(368\) −0.646670 + 0.945725i −0.0337100 + 0.0492993i
\(369\) 1.44494 + 1.32616i 0.0752207 + 0.0690370i
\(370\) 7.12200 + 7.32837i 0.370255 + 0.380984i
\(371\) 28.3144 + 10.1026i 1.47001 + 0.524499i
\(372\) 1.70182 + 5.23765i 0.0882350 + 0.271559i
\(373\) 22.7751 26.2839i 1.17925 1.36093i 0.260799 0.965393i \(-0.416014\pi\)
0.918451 0.395534i \(-0.129441\pi\)
\(374\) 6.80261 + 22.4631i 0.351755 + 1.16154i
\(375\) 1.53900 + 1.77610i 0.0794736 + 0.0917174i
\(376\) −5.92599 + 9.82715i −0.305610 + 0.506797i
\(377\) 0.808209 + 1.04810i 0.0416249 + 0.0539801i
\(378\) 6.32232 2.25580i 0.325185 0.116026i
\(379\) 15.7051 + 7.72166i 0.806715 + 0.396635i 0.797498 0.603322i \(-0.206157\pi\)
0.00921793 + 0.999958i \(0.497066\pi\)
\(380\) −1.94733 + 1.59233i −0.0998961 + 0.0816846i
\(381\) 8.28928 + 40.9092i 0.424673 + 2.09584i
\(382\) −34.7726 1.98837i −1.77912 0.101734i
\(383\) −23.6197 + 21.6780i −1.20691 + 1.10769i −0.215554 + 0.976492i \(0.569156\pi\)
−0.991356 + 0.131200i \(0.958117\pi\)
\(384\) −4.55602 31.6878i −0.232499 1.61706i
\(385\) 1.33093 12.5347i 0.0678304 0.638830i
\(386\) −2.84838 + 19.8109i −0.144979 + 1.00835i
\(387\) 3.53931 + 5.17608i 0.179913 + 0.263115i
\(388\) 1.50102 + 3.85533i 0.0762027 + 0.195725i
\(389\) −6.74258 + 8.74393i −0.341862 + 0.443335i −0.931176 0.364569i \(-0.881216\pi\)
0.589314 + 0.807904i \(0.299398\pi\)
\(390\) −0.290394 + 0.893740i −0.0147047 + 0.0452563i
\(391\) −0.561433 0.931032i −0.0283929 0.0470843i
\(392\) −6.45685 + 16.5843i −0.326120 + 0.837634i
\(393\) −21.4115 + 4.97903i −1.08007 + 0.251159i
\(394\) 17.1763 + 7.25875i 0.865328 + 0.365691i
\(395\) 12.2754 + 7.88892i 0.617642 + 0.396934i
\(396\) 3.96683 + 0.768918i 0.199341 + 0.0386396i
\(397\) −26.0465 + 16.7391i −1.30724 + 0.840110i −0.993980 0.109559i \(-0.965056\pi\)
−0.313256 + 0.949669i \(0.601420\pi\)
\(398\) −7.38821 + 1.27858i −0.370337 + 0.0640894i
\(399\) −3.98179 46.3592i −0.199339 2.32086i
\(400\) −0.404990 + 4.71522i −0.0202495 + 0.235761i
\(401\) 5.95065 + 1.02980i 0.297161 + 0.0514258i 0.317153 0.948374i \(-0.397273\pi\)
−0.0199917 + 0.999800i \(0.506364\pi\)
\(402\) −42.6819 + 18.0375i −2.12878 + 0.899630i
\(403\) −0.996336 + 0.723880i −0.0496310 + 0.0360590i
\(404\) 5.21607 2.94565i 0.259509 0.146552i
\(405\) 0.291368 + 10.1992i 0.0144782 + 0.506803i
\(406\) 29.9686 8.79959i 1.48732 0.436716i
\(407\) 20.1091 + 7.63398i 0.996770 + 0.378402i
\(408\) 24.2092 + 7.10845i 1.19853 + 0.351921i
\(409\) −5.94689 + 22.6243i −0.294055 + 1.11870i 0.641959 + 0.766739i \(0.278122\pi\)
−0.936014 + 0.351962i \(0.885515\pi\)
\(410\) 0.243246 1.20047i 0.0120131 0.0592869i
\(411\) −15.1760 28.7618i −0.748578 1.41871i
\(412\) −0.170653 + 5.97365i −0.00840749 + 0.294301i
\(413\) 0.420930 + 1.60138i 0.0207126 + 0.0787989i
\(414\) −0.960855 + 0.0549437i −0.0472235 + 0.00270034i
\(415\) 2.02818 2.08694i 0.0995593 0.102444i
\(416\) −0.609425 + 0.299634i −0.0298795 + 0.0146908i
\(417\) −9.52681 + 20.8608i −0.466530 + 1.02156i
\(418\) −11.8050 + 24.5321i −0.577404 + 1.19990i
\(419\) 3.54626 + 7.76522i 0.173246 + 0.379356i 0.976259 0.216605i \(-0.0694985\pi\)
−0.803013 + 0.595961i \(0.796771\pi\)
\(420\) 3.33883 + 2.73015i 0.162918 + 0.133218i
\(421\) −11.7147 + 22.2018i −0.570938 + 1.08205i 0.414184 + 0.910193i \(0.364067\pi\)
−0.985122 + 0.171855i \(0.945024\pi\)
\(422\) −18.3075 10.3387i −0.891195 0.503281i
\(423\) −12.0327 + 1.38062i −0.585049 + 0.0671281i
\(424\) −18.7860 + 2.15549i −0.912329 + 0.104680i
\(425\) −3.91057 2.20840i −0.189691 0.107123i
\(426\) −23.6019 + 44.7306i −1.14352 + 2.16721i
\(427\) −21.7677 17.7993i −1.05341 0.861371i
\(428\) −1.57370 3.44593i −0.0760678 0.166565i
\(429\) 0.242084 + 1.96312i 0.0116879 + 0.0947803i
\(430\) 1.62680 3.56219i 0.0784511 0.171784i
\(431\) 15.7907 7.76374i 0.760609 0.373966i −0.0193369 0.999813i \(-0.506156\pi\)
0.779946 + 0.625847i \(0.215246\pi\)
\(432\) −3.69707 + 3.80420i −0.177875 + 0.183030i
\(433\) 19.0301 1.08818i 0.914527 0.0522945i 0.406515 0.913644i \(-0.366744\pi\)
0.508012 + 0.861350i \(0.330380\pi\)
\(434\) 7.38835 + 28.1082i 0.354652 + 1.34924i
\(435\) −0.350011 + 12.2520i −0.0167818 + 0.587438i
\(436\) −3.71515 7.04100i −0.177924 0.337203i
\(437\) 0.250445 1.23599i 0.0119804 0.0591256i
\(438\) 4.24669 16.1561i 0.202915 0.771968i
\(439\) 35.6770 + 10.4757i 1.70277 + 0.499978i 0.981303 0.192471i \(-0.0616502\pi\)
0.721467 + 0.692449i \(0.243468\pi\)
\(440\) 2.72745 + 7.44470i 0.130026 + 0.354912i
\(441\) −18.0224 + 5.29184i −0.858208 + 0.251993i
\(442\) −0.0512817 1.79509i −0.00243922 0.0853839i
\(443\) 2.61957 1.47934i 0.124460 0.0702855i −0.428246 0.903662i \(-0.640868\pi\)
0.552705 + 0.833377i \(0.313596\pi\)
\(444\) −5.95401 + 4.32584i −0.282565 + 0.205295i
\(445\) −3.00200 + 1.26865i −0.142308 + 0.0601400i
\(446\) 10.1982 + 1.76487i 0.482899 + 0.0835690i
\(447\) 1.76006 20.4920i 0.0832478 0.969237i
\(448\) −1.70699 19.8741i −0.0806478 0.938965i
\(449\) −24.2490 + 4.19646i −1.14438 + 0.198043i −0.711016 0.703176i \(-0.751765\pi\)
−0.433365 + 0.901218i \(0.642674\pi\)
\(450\) −3.34448 + 2.14937i −0.157660 + 0.101322i
\(451\) −0.605157 2.50611i −0.0284957 0.118008i
\(452\) −2.79823 1.79831i −0.131618 0.0845855i
\(453\) −44.9206 18.9836i −2.11056 0.891928i
\(454\) 16.6829 3.87945i 0.782969 0.182072i
\(455\) −0.349920 + 0.898762i −0.0164045 + 0.0421346i
\(456\) 15.1134 + 25.0627i 0.707749 + 1.17367i
\(457\) 1.23554 3.80261i 0.0577963 0.177879i −0.917991 0.396602i \(-0.870189\pi\)
0.975787 + 0.218724i \(0.0701893\pi\)
\(458\) 10.8900 14.1224i 0.508858 0.659899i
\(459\) −1.82638 4.69103i −0.0852482 0.218958i
\(460\) 0.0659806 + 0.0964935i 0.00307636 + 0.00449903i
\(461\) 3.31456 23.0533i 0.154374 1.07370i −0.754402 0.656413i \(-0.772073\pi\)
0.908776 0.417284i \(-0.137018\pi\)
\(462\) 45.2437 + 11.4843i 2.10493 + 0.534299i
\(463\) 5.86450 + 40.7885i 0.272546 + 1.89560i 0.421614 + 0.906775i \(0.361464\pi\)
−0.149067 + 0.988827i \(0.547627\pi\)
\(464\) −18.1847 + 16.6898i −0.844206 + 0.774805i
\(465\) −11.3865 0.651103i −0.528036 0.0301942i
\(466\) −3.05437 15.0739i −0.141491 0.698286i
\(467\) 26.4349 21.6157i 1.22326 1.00026i 0.223589 0.974683i \(-0.428223\pi\)
0.999673 0.0255730i \(-0.00814102\pi\)
\(468\) −0.277447 0.136411i −0.0128250 0.00630562i
\(469\) −44.7912 + 15.9815i −2.06826 + 0.737955i
\(470\) 4.61897 + 5.98999i 0.213057 + 0.276298i
\(471\) −20.8469 + 34.5706i −0.960573 + 1.59293i
\(472\) −0.682021 0.787094i −0.0313926 0.0362289i
\(473\) −0.0697070 8.24242i −0.00320513 0.378987i
\(474\) −35.3854 + 40.8369i −1.62530 + 1.87570i
\(475\) −1.60980 4.95445i −0.0738626 0.227326i
\(476\) −7.76270 2.76973i −0.355803 0.126950i
\(477\) −13.9089 14.3120i −0.636846 0.655299i
\(478\) −12.3215 11.3086i −0.563573 0.517243i
\(479\) 19.9432 29.1660i 0.911228 1.33263i −0.0316529 0.999499i \(-0.510077\pi\)
0.942881 0.333130i \(-0.108105\pi\)
\(480\) −6.12562 1.42445i −0.279595 0.0650170i
\(481\) −1.33146 0.967361i −0.0607092 0.0441078i
\(482\) 17.1288 + 1.96534i 0.780193 + 0.0895188i
\(483\) −2.16226 −0.0983862
\(484\) −3.76573 3.74595i −0.171170 0.170270i
\(485\) −8.56798 −0.389052
\(486\) −32.2738 3.70308i −1.46397 0.167975i
\(487\) 15.4367 + 11.2154i 0.699504 + 0.508219i 0.879771 0.475399i \(-0.157696\pi\)
−0.180267 + 0.983618i \(0.557696\pi\)
\(488\) 17.2267 + 4.00590i 0.779816 + 0.181338i
\(489\) −10.8304 + 15.8389i −0.489766 + 0.716260i
\(490\) 8.64245 + 7.93197i 0.390426 + 0.358330i
\(491\) 10.6547 + 10.9634i 0.480840 + 0.494773i 0.913531 0.406770i \(-0.133345\pi\)
−0.432691 + 0.901542i \(0.642436\pi\)
\(492\) 0.830826 + 0.296438i 0.0374565 + 0.0133645i
\(493\) −7.23812 22.2766i −0.325989 1.00329i
\(494\) 1.36412 1.57428i 0.0613748 0.0708303i
\(495\) −4.46439 + 7.07761i −0.200659 + 0.318115i
\(496\) −15.0403 17.3574i −0.675329 0.779371i
\(497\) −26.8047 + 44.4507i −1.20236 + 1.99388i
\(498\) 6.58066 + 8.53395i 0.294886 + 0.382415i
\(499\) −16.1913 + 5.77706i −0.724824 + 0.258617i −0.672587 0.740018i \(-0.734817\pi\)
−0.0522368 + 0.998635i \(0.516635\pi\)
\(500\) 0.433328 + 0.213053i 0.0193790 + 0.00952801i
\(501\) −19.8656 + 16.2440i −0.887531 + 0.725731i
\(502\) −3.56413 17.5897i −0.159075 0.785065i
\(503\) 6.46664 + 0.369776i 0.288333 + 0.0164875i 0.200657 0.979662i \(-0.435692\pi\)
0.0876761 + 0.996149i \(0.472056\pi\)
\(504\) 16.8886 15.5002i 0.752277 0.690434i
\(505\) 1.76551 + 12.2794i 0.0785643 + 0.546427i
\(506\) 1.08889 + 0.644129i 0.0484069 + 0.0286350i
\(507\) −4.32639 + 30.0907i −0.192142 + 1.33638i
\(508\) 4.84084 + 7.07950i 0.214777 + 0.314102i
\(509\) 15.1219 + 38.8404i 0.670268 + 1.72157i 0.692093 + 0.721808i \(0.256689\pi\)
−0.0218248 + 0.999762i \(0.506948\pi\)
\(510\) 10.1556 13.1700i 0.449698 0.583179i
\(511\) 5.29802 16.3056i 0.234370 0.721318i
\(512\) 5.14453 + 8.53124i 0.227358 + 0.377031i
\(513\) 2.11852 5.44136i 0.0935347 0.240242i
\(514\) −28.8668 + 6.71268i −1.27326 + 0.296084i
\(515\) −11.4000 4.81767i −0.502343 0.212292i
\(516\) 2.37258 + 1.52477i 0.104447 + 0.0671241i
\(517\) 14.1435 + 7.31052i 0.622030 + 0.321516i
\(518\) −32.6730 + 20.9977i −1.43557 + 0.922584i
\(519\) −26.1574 + 4.52671i −1.14818 + 0.198701i
\(520\) −0.0519141 0.604424i −0.00227658 0.0265058i
\(521\) −0.342883 + 3.99212i −0.0150220 + 0.174898i 0.984976 + 0.172694i \(0.0552471\pi\)
−0.999998 + 0.00220413i \(0.999298\pi\)
\(522\) −20.4310 3.53572i −0.894239 0.154754i
\(523\) −18.4463 + 7.79548i −0.806601 + 0.340872i −0.753276 0.657705i \(-0.771527\pi\)
−0.0533252 + 0.998577i \(0.516982\pi\)
\(524\) −3.65411 + 2.65487i −0.159631 + 0.115978i
\(525\) −7.77740 + 4.39210i −0.339434 + 0.191687i
\(526\) 0.112097 + 3.92389i 0.00488765 + 0.171090i
\(527\) 20.9122 6.14039i 0.910951 0.267479i
\(528\) −36.0899 + 7.63105i −1.57061 + 0.332099i
\(529\) 22.0121 + 6.46334i 0.957048 + 0.281015i
\(530\) −3.16854 + 12.0544i −0.137632 + 0.523608i
\(531\) 0.218289 1.07730i 0.00947295 0.0467509i
\(532\) −4.46150 8.45548i −0.193431 0.366592i
\(533\) −0.00563310 + 0.197184i −0.000243997 + 0.00854100i
\(534\) −3.06807 11.6721i −0.132768 0.505103i
\(535\) 7.83250 0.447879i 0.338629 0.0193635i
\(536\) 20.8475 21.4515i 0.900473 0.926565i
\(537\) 49.2040 24.1920i 2.12331 1.04396i
\(538\) 14.1576 31.0009i 0.610378 1.33654i
\(539\) 23.5464 + 7.43112i 1.01421 + 0.320081i
\(540\) 0.224843 + 0.492338i 0.00967571 + 0.0211868i
\(541\) −25.8582 21.1441i −1.11173 0.909057i −0.115287 0.993332i \(-0.536779\pi\)
−0.996443 + 0.0842754i \(0.973142\pi\)
\(542\) 12.8119 24.2813i 0.550319 1.04297i
\(543\) −35.1683 19.8605i −1.50922 0.852294i
\(544\) 11.9400 1.36999i 0.511924 0.0587378i
\(545\) 16.3794 1.87936i 0.701617 0.0805030i
\(546\) −3.10993 1.75626i −0.133093 0.0751608i
\(547\) 9.31668 17.6571i 0.398353 0.754962i −0.600655 0.799509i \(-0.705093\pi\)
0.999007 + 0.0445463i \(0.0141842\pi\)
\(548\) −5.17265 4.22965i −0.220965 0.180682i
\(549\) 7.75435 + 16.9797i 0.330948 + 0.724674i
\(550\) 5.22499 + 0.105052i 0.222794 + 0.00447945i
\(551\) 11.2867 24.7143i 0.480828 1.05287i
\(552\) 1.22050 0.600081i 0.0519481 0.0255411i
\(553\) −38.6506 + 39.7705i −1.64359 + 1.69121i
\(554\) −3.10976 + 0.177823i −0.132121 + 0.00755496i
\(555\) −3.87461 14.7405i −0.164468 0.625701i
\(556\) −0.134557 + 4.71010i −0.00570648 + 0.199753i
\(557\) −10.3746 19.6621i −0.439588 0.833112i −0.999988 0.00488987i \(-0.998444\pi\)
0.560400 0.828222i \(-0.310647\pi\)
\(558\) 3.83151 18.9093i 0.162201 0.800493i
\(559\) −0.160332 + 0.609965i −0.00678131 + 0.0257988i
\(560\) −17.2581 5.06744i −0.729288 0.214138i
\(561\) 7.63998 34.1615i 0.322560 1.44230i
\(562\) −12.0022 + 3.52417i −0.506284 + 0.148658i
\(563\) −0.709578 24.8385i −0.0299051 1.04682i −0.866556 0.499080i \(-0.833671\pi\)
0.836651 0.547737i \(-0.184510\pi\)
\(564\) −4.74339 + 2.67872i −0.199733 + 0.112794i
\(565\) 5.57292 4.04896i 0.234454 0.170341i
\(566\) 36.3543 15.3635i 1.52809 0.645775i
\(567\) −38.2111 6.61270i −1.60472 0.277707i
\(568\) 2.79396 32.5295i 0.117232 1.36491i
\(569\) 3.69888 + 43.0653i 0.155065 + 1.80539i 0.499216 + 0.866478i \(0.333621\pi\)
−0.344151 + 0.938914i \(0.611833\pi\)
\(570\) 19.0085 3.28955i 0.796178 0.137784i
\(571\) −37.9634 + 24.3976i −1.58872 + 1.02101i −0.616378 + 0.787451i \(0.711401\pi\)
−0.972343 + 0.233558i \(0.924963\pi\)
\(572\) 0.202831 + 0.352178i 0.00848081 + 0.0147253i
\(573\) 43.7003 + 28.0845i 1.82561 + 1.17325i
\(574\) 4.28805 + 1.81214i 0.178980 + 0.0756374i
\(575\) −0.235792 + 0.0548311i −0.00983321 + 0.00228661i
\(576\) −4.80433 + 12.3398i −0.200180 + 0.514159i
\(577\) −8.75442 14.5176i −0.364451 0.604374i 0.619034 0.785364i \(-0.287524\pi\)
−0.983485 + 0.180990i \(0.942070\pi\)
\(578\) −1.54336 + 4.74998i −0.0641953 + 0.197573i
\(579\) 18.2285 23.6391i 0.757549 0.982407i
\(580\) 0.913697 + 2.34681i 0.0379392 + 0.0974460i
\(581\) 6.24289 + 9.12994i 0.258999 + 0.378774i
\(582\) 4.51539 31.4052i 0.187169 1.30179i
\(583\) 4.69200 + 25.8114i 0.194323 + 1.06900i
\(584\) 1.53471 + 10.6742i 0.0635069 + 0.441700i
\(585\) 0.471714 0.432935i 0.0195030 0.0178997i
\(586\) 20.7069 + 1.18406i 0.855392 + 0.0489131i
\(587\) 8.42718 + 41.5897i 0.347827 + 1.71659i 0.647083 + 0.762420i \(0.275989\pi\)
−0.299256 + 0.954173i \(0.596738\pi\)
\(588\) −6.54012 + 5.34783i −0.269710 + 0.220541i
\(589\) 22.6874 + 11.1546i 0.934816 + 0.459618i
\(590\) −0.646555 + 0.230690i −0.0266182 + 0.00949737i
\(591\) −16.9830 22.0239i −0.698587 0.905943i
\(592\) 15.8494 26.2833i 0.651407 1.08024i
\(593\) −12.3044 14.2000i −0.505279 0.583123i 0.444604 0.895727i \(-0.353344\pi\)
−0.949884 + 0.312604i \(0.898799\pi\)
\(594\) 4.45937 + 3.79851i 0.182970 + 0.155855i
\(595\) 11.1777 12.8997i 0.458240 0.528837i
\(596\) −1.30588 4.01909i −0.0534910 0.164628i
\(597\) 10.5327 + 3.75805i 0.431073 + 0.153807i
\(598\) −0.0674643 0.0694192i −0.00275882 0.00283876i
\(599\) −10.8210 9.93139i −0.442133 0.405786i 0.423951 0.905685i \(-0.360643\pi\)
−0.866083 + 0.499900i \(0.833370\pi\)
\(600\) 3.17109 4.63758i 0.129459 0.189328i
\(601\) −37.3239 8.67930i −1.52247 0.354036i −0.619938 0.784651i \(-0.712842\pi\)
−0.902536 + 0.430615i \(0.858297\pi\)
\(602\) 12.0410 + 8.74829i 0.490754 + 0.356554i
\(603\) 31.3649 + 3.59879i 1.27728 + 0.146554i
\(604\) −10.0200 −0.407710
\(605\) 10.0585 4.45273i 0.408936 0.181029i
\(606\) −45.9396 −1.86617
\(607\) 43.9495 + 5.04273i 1.78385 + 0.204678i 0.942134 0.335237i \(-0.108816\pi\)
0.841719 + 0.539915i \(0.181544\pi\)
\(608\) 11.2783 + 8.19415i 0.457395 + 0.332317i
\(609\) −45.3735 10.5511i −1.83863 0.427554i
\(610\) 6.58015 9.62316i 0.266422 0.389630i
\(611\) −0.897492 0.823711i −0.0363086 0.0333238i
\(612\) 3.81328 + 3.92377i 0.154143 + 0.158609i
\(613\) −22.3482 7.97382i −0.902635 0.322060i −0.156362 0.987700i \(-0.549977\pi\)
−0.746273 + 0.665640i \(0.768159\pi\)
\(614\) −5.31404 16.3549i −0.214457 0.660031i
\(615\) −1.19632 + 1.38063i −0.0482405 + 0.0556725i
\(616\) −29.7895 + 4.54053i −1.20025 + 0.182943i
\(617\) −10.5485 12.1736i −0.424665 0.490090i 0.502587 0.864526i \(-0.332382\pi\)
−0.927252 + 0.374437i \(0.877836\pi\)
\(618\) 23.6666 39.2467i 0.952011 1.57873i
\(619\) 27.5149 + 35.6820i 1.10592 + 1.43418i 0.888952 + 0.458001i \(0.151434\pi\)
0.216967 + 0.976179i \(0.430384\pi\)
\(620\) −2.20709 + 0.787488i −0.0886388 + 0.0316263i
\(621\) −0.243510 0.119726i −0.00977171 0.00480443i
\(622\) −33.7416 + 27.5903i −1.35291 + 1.10627i
\(623\) −2.45982 12.1397i −0.0985508 0.486367i
\(624\) 2.81784 + 0.161130i 0.112804 + 0.00645036i
\(625\) −0.736741 + 0.676175i −0.0294696 + 0.0270470i
\(626\) 1.61859 + 11.2575i 0.0646919 + 0.449942i
\(627\) 33.3229 23.2016i 1.33079 0.926582i
\(628\) −1.18045 + 8.21023i −0.0471052 + 0.327624i
\(629\) 16.4399 + 24.0427i 0.655504 + 0.958644i
\(630\) −5.48192 14.0802i −0.218405 0.560968i
\(631\) 20.5875 26.6984i 0.819576 1.06285i −0.177323 0.984153i \(-0.556744\pi\)
0.996899 0.0786926i \(-0.0250746\pi\)
\(632\) 10.7793 33.1753i 0.428777 1.31964i
\(633\) 16.1932 + 26.8535i 0.643624 + 1.06733i
\(634\) −7.54533 + 19.3800i −0.299664 + 0.769680i
\(635\) −17.2995 + 4.02283i −0.686510 + 0.159641i
\(636\) −8.26824 3.49419i −0.327857 0.138554i
\(637\) −1.58932 1.02139i −0.0629710 0.0404690i
\(638\) 19.7064 + 18.8300i 0.780182 + 0.745487i
\(639\) 28.9885 18.6298i 1.14677 0.736983i
\(640\) 13.4227 2.32288i 0.530577 0.0918200i
\(641\) −3.06138 35.6429i −0.120917 1.40781i −0.765578 0.643343i \(-0.777547\pi\)
0.644661 0.764469i \(-0.276999\pi\)
\(642\) −2.48612 + 28.9454i −0.0981195 + 1.14238i
\(643\) 33.1349 + 5.73422i 1.30671 + 0.226136i 0.781003 0.624528i \(-0.214708\pi\)
0.525711 + 0.850663i \(0.323799\pi\)
\(644\) −0.409230 + 0.172942i −0.0161259 + 0.00681487i
\(645\) −4.72521 + 3.43306i −0.186055 + 0.135177i
\(646\) −32.1001 + 18.1278i −1.26296 + 0.713227i
\(647\) −0.129033 4.51676i −0.00507282 0.177572i −0.998178 0.0603428i \(-0.980781\pi\)
0.993105 0.117229i \(-0.0374012\pi\)
\(648\) 23.4037 6.87196i 0.919386 0.269956i
\(649\) −1.02765 + 1.01575i −0.0403387 + 0.0398717i
\(650\) −0.383670 0.112656i −0.0150488 0.00441871i
\(651\) 11.0194 41.9223i 0.431886 1.64306i
\(652\) −0.782930 + 3.86391i −0.0306619 + 0.151322i
\(653\) −4.75895 9.01921i −0.186232 0.352949i 0.773532 0.633757i \(-0.218488\pi\)
−0.959764 + 0.280809i \(0.909397\pi\)
\(654\) −1.74342 + 61.0278i −0.0681732 + 2.38637i
\(655\) −2.37793 9.04660i −0.0929136 0.353480i
\(656\) −3.67282 + 0.210019i −0.143400 + 0.00819988i
\(657\) −7.93225 + 8.16209i −0.309466 + 0.318433i
\(658\) −25.7984 + 12.6842i −1.00573 + 0.494483i
\(659\) −19.1603 + 41.9552i −0.746379 + 1.63434i 0.0263885 + 0.999652i \(0.491599\pi\)
−0.772767 + 0.634690i \(0.781128\pi\)
\(660\) −0.610411 + 3.71389i −0.0237602 + 0.144563i
\(661\) −9.16966 20.0788i −0.356658 0.780973i −0.999883 0.0152954i \(-0.995131\pi\)
0.643225 0.765678i \(-0.277596\pi\)
\(662\) −15.9644 13.0540i −0.620475 0.507360i
\(663\) −1.24993 + 2.36887i −0.0485431 + 0.0919994i
\(664\) −6.05763 3.42090i −0.235082 0.132757i
\(665\) 19.6699 2.25691i 0.762766 0.0875193i
\(666\) 25.6149 2.93904i 0.992559 0.113885i
\(667\) −1.09939 0.620853i −0.0425685 0.0240395i
\(668\) −2.46054 + 4.66325i −0.0952013 + 0.180427i
\(669\) −11.9499 9.77138i −0.462010 0.377783i
\(670\) −8.19066 17.9350i −0.316433 0.692891i
\(671\) 3.97961 24.2129i 0.153631 0.934728i
\(672\) 9.92937 21.7423i 0.383034 0.838727i
\(673\) 14.1660 6.96494i 0.546059 0.268479i −0.147275 0.989096i \(-0.547050\pi\)
0.693334 + 0.720617i \(0.256141\pi\)
\(674\) −33.2828 + 34.2472i −1.28200 + 1.31915i
\(675\) −1.11907 + 0.0639908i −0.0430730 + 0.00246301i
\(676\) 1.58791 + 6.04102i 0.0610733 + 0.232347i
\(677\) −1.30213 + 45.5804i −0.0500448 + 1.75180i 0.456626 + 0.889659i \(0.349058\pi\)
−0.506671 + 0.862139i \(0.669124\pi\)
\(678\) 11.9042 + 22.5609i 0.457177 + 0.866446i
\(679\) 6.46682 31.9150i 0.248174 1.22479i
\(680\) −2.72933 + 10.3834i −0.104665 + 0.398186i
\(681\) −24.5111 7.19710i −0.939267 0.275794i
\(682\) −18.0377 + 17.8289i −0.690701 + 0.682704i
\(683\) 0.273762 0.0803838i 0.0104752 0.00307580i −0.276491 0.961017i \(-0.589172\pi\)
0.286966 + 0.957941i \(0.407353\pi\)
\(684\) 0.181235 + 6.34407i 0.00692971 + 0.242571i
\(685\) 12.0491 6.80441i 0.460371 0.259983i
\(686\) −2.15436 + 1.56523i −0.0822537 + 0.0597608i
\(687\) −24.5001 + 10.3538i −0.934739 + 0.395024i
\(688\) −11.5895 2.00564i −0.441845 0.0764642i
\(689\) 0.171775 1.99994i 0.00654411 0.0761917i
\(690\) −0.0767146 0.893172i −0.00292048 0.0340025i
\(691\) 39.8444 6.89534i 1.51575 0.262311i 0.648899 0.760875i \(-0.275230\pi\)
0.866853 + 0.498563i \(0.166139\pi\)
\(692\) −4.58850 + 2.94885i −0.174429 + 0.112098i
\(693\) −22.9939 21.9714i −0.873468 0.834624i
\(694\) −2.78215 1.78798i −0.105609 0.0678706i
\(695\) −8.98864 3.79863i −0.340959 0.144090i
\(696\) 28.5396 6.63660i 1.08179 0.251560i
\(697\) 1.26659 3.25321i 0.0479755 0.123224i
\(698\) −19.6748 32.6271i −0.744704 1.23495i
\(699\) −7.08856 + 21.8163i −0.268114 + 0.825170i
\(700\) −1.12066 + 1.45330i −0.0423571 + 0.0549297i
\(701\) 8.75690 + 22.4919i 0.330744 + 0.849508i 0.994802 + 0.101828i \(0.0324690\pi\)
−0.664058 + 0.747681i \(0.731167\pi\)
\(702\) −0.252989 0.369985i −0.00954846 0.0139642i
\(703\) −4.80806 + 33.4408i −0.181340 + 1.26124i
\(704\) 14.2855 9.94650i 0.538405 0.374873i
\(705\) −1.60552 11.1667i −0.0604675 0.420561i
\(706\) 2.00281 1.83816i 0.0753767 0.0691801i
\(707\) −47.0723 2.69169i −1.77034 0.101232i
\(708\) −0.0981811 0.484543i −0.00368987 0.0182102i
\(709\) 14.5487 11.8964i 0.546387 0.446778i −0.319092 0.947724i \(-0.603378\pi\)
0.865479 + 0.500945i \(0.167014\pi\)
\(710\) −19.3124 9.49526i −0.724781 0.356351i
\(711\) 34.6747 12.3719i 1.30040 0.463983i
\(712\) 4.75754 + 6.16969i 0.178296 + 0.231219i
\(713\) 0.606678 1.00606i 0.0227203 0.0376774i
\(714\) 41.3921 + 47.7691i 1.54906 + 1.78771i
\(715\) −0.832047 + 0.126821i −0.0311168 + 0.00474284i
\(716\) 7.37744 8.51402i 0.275708 0.318184i
\(717\) 7.70804 + 23.7229i 0.287862 + 0.885948i
\(718\) 29.6447 + 10.5772i 1.10633 + 0.394738i
\(719\) −24.6261 25.3396i −0.918398 0.945009i 0.0802614 0.996774i \(-0.474424\pi\)
−0.998659 + 0.0517647i \(0.983515\pi\)
\(720\) 8.79706 + 8.07387i 0.327847 + 0.300895i
\(721\) 26.5497 38.8277i 0.988763 1.44602i
\(722\) −12.4899 2.90440i −0.464825 0.108090i
\(723\) −20.8035 15.1146i −0.773689 0.562118i
\(724\) −8.24445 0.945962i −0.306403 0.0351564i
\(725\) −5.21548 −0.193698
\(726\) 11.0202 + 39.2152i 0.408998 + 1.45541i
\(727\) 13.1904 0.489206 0.244603 0.969623i \(-0.421342\pi\)
0.244603 + 0.969623i \(0.421342\pi\)
\(728\) 2.29061 + 0.262823i 0.0848957 + 0.00974088i
\(729\) 14.4336 + 10.4866i 0.534576 + 0.388392i
\(730\) 6.92339 + 1.60996i 0.256246 + 0.0595875i
\(731\) 6.30004 9.21351i 0.233015 0.340774i
\(732\) 6.18548 + 5.67698i 0.228622 + 0.209827i
\(733\) −31.1187 32.0204i −1.14940 1.18270i −0.980386 0.197086i \(-0.936852\pi\)
−0.169010 0.985614i \(-0.554057\pi\)
\(734\) 23.1216 + 8.24977i 0.853434 + 0.304505i
\(735\) −5.40650 16.6395i −0.199422 0.613758i
\(736\) 0.424239 0.489597i 0.0156376 0.0180468i
\(737\) −31.5929 26.9110i −1.16374 0.991279i
\(738\) −2.02377 2.33556i −0.0744961 0.0859731i
\(739\) 14.4552 23.9713i 0.531744 0.881798i −0.468254 0.883594i \(-0.655117\pi\)
0.999998 + 0.00179535i \(0.000571477\pi\)
\(740\) −1.91229 2.47990i −0.0702971 0.0911629i
\(741\) −2.92614 + 1.04405i −0.107495 + 0.0383540i
\(742\) −42.5100 20.9008i −1.56059 0.767291i
\(743\) 17.2827 14.1320i 0.634039 0.518451i −0.260481 0.965479i \(-0.583881\pi\)
0.894520 + 0.447028i \(0.147518\pi\)
\(744\) 5.41448 + 26.7215i 0.198505 + 0.979659i
\(745\) 8.73739 + 0.499622i 0.320113 + 0.0183047i
\(746\) −40.3742 + 37.0551i −1.47820 + 1.35668i
\(747\) −1.04493 7.26765i −0.0382320 0.265909i
\(748\) −1.28636 7.07647i −0.0470340 0.258742i
\(749\) −4.24339 + 29.5134i −0.155050 + 1.07840i
\(750\) −2.09019 3.05681i −0.0763231 0.111619i
\(751\) 11.0107 + 28.2807i 0.401785 + 1.03198i 0.976861 + 0.213877i \(0.0686091\pi\)
−0.575075 + 0.818100i \(0.695027\pi\)
\(752\) 13.8729 17.9906i 0.505891 0.656051i
\(753\) −8.27160 + 25.4574i −0.301434 + 0.927718i
\(754\) −1.07695 1.78592i −0.0392201 0.0650392i
\(755\) 7.52862 19.3371i 0.273994 0.703749i
\(756\) −2.00362 + 0.465922i −0.0728709 + 0.0169454i
\(757\) 11.7413 + 4.96192i 0.426746 + 0.180344i 0.592055 0.805898i \(-0.298317\pi\)
−0.165309 + 0.986242i \(0.552862\pi\)
\(758\) −23.1984 14.9087i −0.842605 0.541509i
\(759\) −0.941716 1.63511i −0.0341821 0.0593508i
\(760\) −10.4765 + 6.73282i −0.380022 + 0.244225i
\(761\) −6.43960 + 1.11442i −0.233435 + 0.0403975i −0.286039 0.958218i \(-0.592339\pi\)
0.0526041 + 0.998615i \(0.483248\pi\)
\(762\) −5.62837 65.5299i −0.203894 2.37390i
\(763\) −5.36215 + 62.4304i −0.194123 + 2.26013i
\(764\) 10.5170 + 1.82004i 0.380491 + 0.0658466i
\(765\) −10.4374 + 4.41088i −0.377365 + 0.159476i
\(766\) 40.8690 29.6931i 1.47666 1.07285i
\(767\) 0.0962674 0.0543647i 0.00347601 0.00196299i
\(768\) 0.736045 + 25.7649i 0.0265597 + 0.929712i
\(769\) 6.59971 1.93785i 0.237992 0.0698807i −0.160562 0.987026i \(-0.551331\pi\)
0.398553 + 0.917145i \(0.369512\pi\)
\(770\) −4.33496 + 19.3834i −0.156221 + 0.698528i
\(771\) 42.4119 + 12.4533i 1.52743 + 0.448494i
\(772\) 1.55922 5.93190i 0.0561176 0.213494i