Properties

Label 144.3.w.a.5.10
Level $144$
Weight $3$
Character 144.5
Analytic conductor $3.924$
Analytic rank $0$
Dimension $184$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 144.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.92371580679\)
Analytic rank: \(0\)
Dimension: \(184\)
Relative dimension: \(46\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 5.10
Character \(\chi\) \(=\) 144.5
Dual form 144.3.w.a.29.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.59704 - 1.20393i) q^{2} +(-1.75135 - 2.43573i) q^{3} +(1.10109 + 3.84547i) q^{4} +(-2.49590 - 9.31484i) q^{5} +(-0.135487 + 5.99847i) q^{6} +(7.55275 - 4.36058i) q^{7} +(2.87120 - 7.46701i) q^{8} +(-2.86558 + 8.53161i) q^{9} +O(q^{10})\) \(q+(-1.59704 - 1.20393i) q^{2} +(-1.75135 - 2.43573i) q^{3} +(1.10109 + 3.84547i) q^{4} +(-2.49590 - 9.31484i) q^{5} +(-0.135487 + 5.99847i) q^{6} +(7.55275 - 4.36058i) q^{7} +(2.87120 - 7.46701i) q^{8} +(-2.86558 + 8.53161i) q^{9} +(-7.22838 + 17.8811i) q^{10} +(-8.59716 - 2.30360i) q^{11} +(7.43814 - 9.41669i) q^{12} +(-1.01775 - 3.79829i) q^{13} +(-17.3119 - 2.12897i) q^{14} +(-18.3173 + 22.3928i) q^{15} +(-13.5752 + 8.46840i) q^{16} +20.4214i q^{17} +(14.8480 - 10.1754i) q^{18} +(1.44592 - 1.44592i) q^{19} +(33.0717 - 19.8544i) q^{20} +(-23.8487 - 10.7596i) q^{21} +(10.9566 + 14.0294i) q^{22} +(6.97317 - 12.0779i) q^{23} +(-23.2161 + 6.08384i) q^{24} +(-58.8860 + 33.9979i) q^{25} +(-2.94750 + 7.29133i) q^{26} +(25.7993 - 7.96201i) q^{27} +(25.0847 + 24.2425i) q^{28} +(-8.45427 + 31.5518i) q^{29} +(56.2129 - 13.7096i) q^{30} +(12.0086 - 20.7996i) q^{31} +(31.8756 + 2.81926i) q^{32} +(9.44564 + 24.9748i) q^{33} +(24.5860 - 32.6139i) q^{34} +(-59.4691 - 59.4691i) q^{35} +(-35.9633 - 1.62543i) q^{36} +(-14.6915 - 14.6915i) q^{37} +(-4.04998 + 0.568403i) q^{38} +(-7.46919 + 9.13108i) q^{39} +(-76.7202 - 8.10783i) q^{40} +(29.9984 - 51.9587i) q^{41} +(25.1335 + 45.8958i) q^{42} +(9.90936 - 36.9823i) q^{43} +(-0.607813 - 35.5966i) q^{44} +(86.6228 + 5.39834i) q^{45} +(-25.6774 + 10.8937i) q^{46} +(31.8352 - 18.3801i) q^{47} +(44.4016 + 18.2345i) q^{48} +(13.5294 - 23.4336i) q^{49} +(134.975 + 16.5988i) q^{50} +(49.7411 - 35.7649i) q^{51} +(13.4856 - 8.09597i) q^{52} +(-41.8929 + 41.8929i) q^{53} +(-50.7884 - 18.3450i) q^{54} +85.8307i q^{55} +(-10.8751 - 68.9166i) q^{56} +(-6.05417 - 0.989567i) q^{57} +(51.4881 - 40.2111i) q^{58} +(-15.7167 - 58.6557i) q^{59} +(-106.280 - 45.7819i) q^{60} +(18.9131 + 5.06774i) q^{61} +(-44.2196 + 18.7602i) q^{62} +(15.5598 + 76.9328i) q^{63} +(-47.5124 - 42.8785i) q^{64} +(-32.8403 + 18.9603i) q^{65} +(14.9829 - 51.2577i) q^{66} +(9.28744 + 34.6612i) q^{67} +(-78.5298 + 22.4858i) q^{68} +(-41.6309 + 4.16777i) q^{69} +(23.3778 + 166.571i) q^{70} -22.7508 q^{71} +(55.4780 + 45.8933i) q^{72} -78.0968i q^{73} +(5.77535 + 41.1504i) q^{74} +(185.939 + 83.8886i) q^{75} +(7.15231 + 3.96814i) q^{76} +(-74.9773 + 20.0901i) q^{77} +(22.9218 - 5.59032i) q^{78} +(-9.92252 - 17.1863i) q^{79} +(112.764 + 105.315i) q^{80} +(-64.5769 - 48.8961i) q^{81} +(-110.463 + 46.8642i) q^{82} +(-20.4326 + 76.2556i) q^{83} +(15.1161 - 103.557i) q^{84} +(190.222 - 50.9699i) q^{85} +(-60.3498 + 47.1320i) q^{86} +(91.6580 - 34.6657i) q^{87} +(-41.8852 + 57.5810i) q^{88} -108.510 q^{89} +(-131.841 - 112.909i) q^{90} +(-24.2496 - 24.2496i) q^{91} +(54.1232 + 13.5163i) q^{92} +(-71.6934 + 7.17740i) q^{93} +(-72.9705 - 8.97372i) q^{94} +(-17.0773 - 9.85961i) q^{95} +(-48.9582 - 82.5778i) q^{96} +(5.21912 + 9.03978i) q^{97} +(-49.8195 + 21.1359i) q^{98} +(44.2893 - 66.7465i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 184q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} - 10q^{6} + O(q^{10}) \) \( 184q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} - 10q^{6} - 8q^{10} - 6q^{11} - 64q^{12} - 2q^{13} - 6q^{14} - 8q^{15} - 2q^{16} + 54q^{18} - 8q^{19} + 120q^{20} - 22q^{21} - 2q^{22} - 160q^{24} + 44q^{27} - 72q^{28} - 6q^{29} - 90q^{30} - 4q^{31} - 6q^{32} - 8q^{33} + 6q^{34} - 202q^{36} - 8q^{37} - 6q^{38} - 2q^{40} + 44q^{42} - 2q^{43} + 46q^{45} - 160q^{46} - 12q^{47} - 118q^{48} + 472q^{49} + 228q^{50} - 48q^{51} - 2q^{52} + 206q^{54} - 300q^{56} - 92q^{58} - 438q^{59} - 90q^{60} - 2q^{61} - 204q^{63} + 244q^{64} - 12q^{65} - 508q^{66} - 2q^{67} - 144q^{68} + 14q^{69} + 96q^{70} + 6q^{72} + 246q^{74} + 152q^{75} - 158q^{76} - 6q^{77} + 304q^{78} - 4q^{79} - 8q^{81} - 388q^{82} - 726q^{83} + 542q^{84} + 48q^{85} + 894q^{86} + 22q^{88} - 528q^{90} - 204q^{91} - 348q^{92} + 62q^{93} - 18q^{94} - 12q^{95} + 262q^{96} - 4q^{97} + 286q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{6}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.59704 1.20393i −0.798521 0.601967i
\(3\) −1.75135 2.43573i −0.583782 0.811911i
\(4\) 1.10109 + 3.84547i 0.275272 + 0.961366i
\(5\) −2.49590 9.31484i −0.499181 1.86297i −0.505228 0.862986i \(-0.668592\pi\)
0.00604760 0.999982i \(-0.498075\pi\)
\(6\) −0.135487 + 5.99847i −0.0225812 + 0.999745i
\(7\) 7.55275 4.36058i 1.07896 0.622941i 0.148348 0.988935i \(-0.452605\pi\)
0.930617 + 0.365995i \(0.119271\pi\)
\(8\) 2.87120 7.46701i 0.358900 0.933376i
\(9\) −2.86558 + 8.53161i −0.318398 + 0.947957i
\(10\) −7.22838 + 17.8811i −0.722838 + 1.78811i
\(11\) −8.59716 2.30360i −0.781560 0.209418i −0.154088 0.988057i \(-0.549244\pi\)
−0.627473 + 0.778639i \(0.715911\pi\)
\(12\) 7.43814 9.41669i 0.619845 0.784724i
\(13\) −1.01775 3.79829i −0.0782884 0.292176i 0.915670 0.401930i \(-0.131660\pi\)
−0.993959 + 0.109754i \(0.964994\pi\)
\(14\) −17.3119 2.12897i −1.23657 0.152070i
\(15\) −18.3173 + 22.3928i −1.22115 + 1.49286i
\(16\) −13.5752 + 8.46840i −0.848451 + 0.529275i
\(17\) 20.4214i 1.20126i 0.799527 + 0.600630i \(0.205083\pi\)
−0.799527 + 0.600630i \(0.794917\pi\)
\(18\) 14.8480 10.1754i 0.824886 0.565299i
\(19\) 1.44592 1.44592i 0.0761009 0.0761009i −0.668032 0.744133i \(-0.732863\pi\)
0.744133 + 0.668032i \(0.232863\pi\)
\(20\) 33.0717 19.8544i 1.65358 0.992718i
\(21\) −23.8487 10.7596i −1.13565 0.512362i
\(22\) 10.9566 + 14.0294i 0.498030 + 0.637698i
\(23\) 6.97317 12.0779i 0.303181 0.525125i −0.673673 0.739029i \(-0.735285\pi\)
0.976855 + 0.213904i \(0.0686179\pi\)
\(24\) −23.2161 + 6.08384i −0.967337 + 0.253493i
\(25\) −58.8860 + 33.9979i −2.35544 + 1.35991i
\(26\) −2.94750 + 7.29133i −0.113365 + 0.280436i
\(27\) 25.7993 7.96201i 0.955531 0.294889i
\(28\) 25.0847 + 24.2425i 0.895883 + 0.865802i
\(29\) −8.45427 + 31.5518i −0.291527 + 1.08799i 0.652410 + 0.757866i \(0.273758\pi\)
−0.943937 + 0.330126i \(0.892909\pi\)
\(30\) 56.2129 13.7096i 1.87376 0.456985i
\(31\) 12.0086 20.7996i 0.387375 0.670954i −0.604720 0.796438i \(-0.706715\pi\)
0.992096 + 0.125484i \(0.0400484\pi\)
\(32\) 31.8756 + 2.81926i 0.996111 + 0.0881019i
\(33\) 9.44564 + 24.9748i 0.286232 + 0.756812i
\(34\) 24.5860 32.6139i 0.723118 0.959231i
\(35\) −59.4691 59.4691i −1.69912 1.69912i
\(36\) −35.9633 1.62543i −0.998980 0.0451508i
\(37\) −14.6915 14.6915i −0.397067 0.397067i 0.480130 0.877197i \(-0.340589\pi\)
−0.877197 + 0.480130i \(0.840589\pi\)
\(38\) −4.04998 + 0.568403i −0.106578 + 0.0149580i
\(39\) −7.46919 + 9.13108i −0.191518 + 0.234130i
\(40\) −76.7202 8.10783i −1.91801 0.202696i
\(41\) 29.9984 51.9587i 0.731667 1.26729i −0.224503 0.974473i \(-0.572076\pi\)
0.956170 0.292812i \(-0.0945909\pi\)
\(42\) 25.1335 + 45.8958i 0.598417 + 1.09276i
\(43\) 9.90936 36.9823i 0.230450 0.860052i −0.749697 0.661781i \(-0.769801\pi\)
0.980147 0.198271i \(-0.0635326\pi\)
\(44\) −0.607813 35.5966i −0.0138139 0.809013i
\(45\) 86.6228 + 5.39834i 1.92495 + 0.119963i
\(46\) −25.6774 + 10.8937i −0.558205 + 0.236819i
\(47\) 31.8352 18.3801i 0.677344 0.391065i −0.121509 0.992590i \(-0.538773\pi\)
0.798854 + 0.601525i \(0.205440\pi\)
\(48\) 44.4016 + 18.2345i 0.925034 + 0.379885i
\(49\) 13.5294 23.4336i 0.276110 0.478236i
\(50\) 134.975 + 16.5988i 2.69949 + 0.331977i
\(51\) 49.7411 35.7649i 0.975316 0.701273i
\(52\) 13.4856 8.09597i 0.259338 0.155692i
\(53\) −41.8929 + 41.8929i −0.790433 + 0.790433i −0.981564 0.191132i \(-0.938784\pi\)
0.191132 + 0.981564i \(0.438784\pi\)
\(54\) −50.7884 18.3450i −0.940526 0.339723i
\(55\) 85.8307i 1.56056i
\(56\) −10.8751 68.9166i −0.194197 1.23065i
\(57\) −6.05417 0.989567i −0.106213 0.0173608i
\(58\) 51.4881 40.2111i 0.887725 0.693295i
\(59\) −15.7167 58.6557i −0.266385 0.994164i −0.961397 0.275165i \(-0.911267\pi\)
0.695011 0.718999i \(-0.255399\pi\)
\(60\) −106.280 45.7819i −1.77133 0.763031i
\(61\) 18.9131 + 5.06774i 0.310050 + 0.0830777i 0.410489 0.911866i \(-0.365358\pi\)
−0.100439 + 0.994943i \(0.532025\pi\)
\(62\) −44.2196 + 18.7602i −0.713219 + 0.302584i
\(63\) 15.5598 + 76.9328i 0.246981 + 1.22116i
\(64\) −47.5124 42.8785i −0.742382 0.669977i
\(65\) −32.8403 + 18.9603i −0.505235 + 0.291697i
\(66\) 14.9829 51.2577i 0.227014 0.776632i
\(67\) 9.28744 + 34.6612i 0.138618 + 0.517331i 0.999957 + 0.00929939i \(0.00296013\pi\)
−0.861338 + 0.508032i \(0.830373\pi\)
\(68\) −78.5298 + 22.4858i −1.15485 + 0.330673i
\(69\) −41.6309 + 4.16777i −0.603347 + 0.0604025i
\(70\) 23.3778 + 166.571i 0.333969 + 2.37959i
\(71\) −22.7508 −0.320434 −0.160217 0.987082i \(-0.551219\pi\)
−0.160217 + 0.987082i \(0.551219\pi\)
\(72\) 55.4780 + 45.8933i 0.770528 + 0.637407i
\(73\) 78.0968i 1.06982i −0.844909 0.534910i \(-0.820346\pi\)
0.844909 0.534910i \(-0.179654\pi\)
\(74\) 5.77535 + 41.1504i 0.0780452 + 0.556087i
\(75\) 185.939 + 83.8886i 2.47919 + 1.11851i
\(76\) 7.15231 + 3.96814i 0.0941093 + 0.0522124i
\(77\) −74.9773 + 20.0901i −0.973731 + 0.260910i
\(78\) 22.9218 5.59032i 0.293870 0.0716707i
\(79\) −9.92252 17.1863i −0.125602 0.217548i 0.796366 0.604814i \(-0.206753\pi\)
−0.921968 + 0.387266i \(0.873419\pi\)
\(80\) 112.764 + 105.315i 1.40955 + 1.31643i
\(81\) −64.5769 48.8961i −0.797246 0.603655i
\(82\) −110.463 + 46.8642i −1.34712 + 0.571515i
\(83\) −20.4326 + 76.2556i −0.246176 + 0.918742i 0.726612 + 0.687048i \(0.241094\pi\)
−0.972789 + 0.231694i \(0.925573\pi\)
\(84\) 15.1161 103.557i 0.179954 1.23282i
\(85\) 190.222 50.9699i 2.23791 0.599646i
\(86\) −60.3498 + 47.1320i −0.701742 + 0.548047i
\(87\) 91.6580 34.6657i 1.05354 0.398456i
\(88\) −41.8852 + 57.5810i −0.475968 + 0.654329i
\(89\) −108.510 −1.21922 −0.609608 0.792703i \(-0.708673\pi\)
−0.609608 + 0.792703i \(0.708673\pi\)
\(90\) −131.841 112.909i −1.46490 1.25455i
\(91\) −24.2496 24.2496i −0.266479 0.266479i
\(92\) 54.1232 + 13.5163i 0.588295 + 0.146916i
\(93\) −71.6934 + 7.17740i −0.770897 + 0.0771764i
\(94\) −72.9705 8.97372i −0.776282 0.0954651i
\(95\) −17.0773 9.85961i −0.179762 0.103785i
\(96\) −48.9582 82.5778i −0.509981 0.860186i
\(97\) 5.21912 + 9.03978i 0.0538054 + 0.0931936i 0.891674 0.452679i \(-0.149532\pi\)
−0.837868 + 0.545873i \(0.816198\pi\)
\(98\) −49.8195 + 21.1359i −0.508362 + 0.215673i
\(99\) 44.2893 66.7465i 0.447367 0.674207i
\(100\) −195.576 189.010i −1.95576 1.89010i
\(101\) 58.5198 + 15.6803i 0.579404 + 0.155251i 0.536606 0.843833i \(-0.319706\pi\)
0.0427979 + 0.999084i \(0.486373\pi\)
\(102\) −122.497 2.76684i −1.20095 0.0271259i
\(103\) −91.1270 52.6122i −0.884728 0.510798i −0.0125138 0.999922i \(-0.503983\pi\)
−0.872215 + 0.489124i \(0.837317\pi\)
\(104\) −31.2840 3.30611i −0.300808 0.0317895i
\(105\) −40.6999 + 249.002i −0.387618 + 2.37144i
\(106\) 117.341 16.4685i 1.10699 0.155363i
\(107\) 91.3826 91.3826i 0.854043 0.854043i −0.136585 0.990628i \(-0.543613\pi\)
0.990628 + 0.136585i \(0.0436127\pi\)
\(108\) 59.0250 + 90.4436i 0.546528 + 0.837441i
\(109\) 88.9598 88.9598i 0.816145 0.816145i −0.169402 0.985547i \(-0.554184\pi\)
0.985547 + 0.169402i \(0.0541837\pi\)
\(110\) 103.335 137.075i 0.939405 1.24614i
\(111\) −10.0546 + 61.5143i −0.0905824 + 0.554183i
\(112\) −65.6030 + 123.156i −0.585741 + 1.09960i
\(113\) 14.0397 + 8.10580i 0.124245 + 0.0717328i 0.560834 0.827928i \(-0.310480\pi\)
−0.436590 + 0.899661i \(0.643814\pi\)
\(114\) 8.47739 + 8.86919i 0.0743630 + 0.0777999i
\(115\) −129.908 34.8087i −1.12963 0.302684i
\(116\) −130.640 + 2.23068i −1.12621 + 0.0192300i
\(117\) 35.3220 + 2.20127i 0.301897 + 0.0188143i
\(118\) −45.5172 + 112.598i −0.385739 + 0.954216i
\(119\) 89.0493 + 154.238i 0.748313 + 1.29612i
\(120\) 114.615 + 201.069i 0.955125 + 1.67558i
\(121\) −36.1844 20.8911i −0.299045 0.172654i
\(122\) −24.1037 30.8635i −0.197572 0.252979i
\(123\) −179.095 + 17.9296i −1.45606 + 0.145769i
\(124\) 93.2066 + 23.2766i 0.751666 + 0.187715i
\(125\) 293.185 + 293.185i 2.34548 + 2.34548i
\(126\) 67.7723 141.598i 0.537875 1.12379i
\(127\) 74.7359 0.588472 0.294236 0.955733i \(-0.404935\pi\)
0.294236 + 0.955733i \(0.404935\pi\)
\(128\) 24.2565 + 125.681i 0.189504 + 0.981880i
\(129\) −107.434 + 40.6321i −0.832818 + 0.314978i
\(130\) 75.2743 + 9.25703i 0.579033 + 0.0712079i
\(131\) −109.153 + 29.2475i −0.833229 + 0.223263i −0.650122 0.759830i \(-0.725282\pi\)
−0.183107 + 0.983093i \(0.558616\pi\)
\(132\) −85.6392 + 63.8223i −0.648782 + 0.483503i
\(133\) 4.61561 17.2257i 0.0347038 0.129516i
\(134\) 26.8973 66.5369i 0.200726 0.496544i
\(135\) −138.558 220.444i −1.02635 1.63292i
\(136\) 152.487 + 58.6339i 1.12123 + 0.431132i
\(137\) −28.6355 49.5981i −0.209018 0.362030i 0.742388 0.669971i \(-0.233693\pi\)
−0.951405 + 0.307941i \(0.900360\pi\)
\(138\) 71.5041 + 43.4647i 0.518145 + 0.314962i
\(139\) 113.758 30.4812i 0.818400 0.219290i 0.174753 0.984612i \(-0.444087\pi\)
0.643647 + 0.765323i \(0.277421\pi\)
\(140\) 163.206 294.167i 1.16575 2.10119i
\(141\) −100.523 45.3522i −0.712931 0.321647i
\(142\) 36.3340 + 27.3905i 0.255873 + 0.192891i
\(143\) 34.9990i 0.244748i
\(144\) −33.3482 140.085i −0.231585 0.972815i
\(145\) 315.001 2.17242
\(146\) −94.0234 + 124.724i −0.643996 + 0.854274i
\(147\) −80.7725 + 8.08633i −0.549473 + 0.0550090i
\(148\) 40.3189 72.6721i 0.272425 0.491028i
\(149\) −23.9955 89.5524i −0.161044 0.601023i −0.998512 0.0545367i \(-0.982632\pi\)
0.837468 0.546486i \(-0.184035\pi\)
\(150\) −195.957 357.832i −1.30638 2.38555i
\(151\) 44.1519 25.4911i 0.292397 0.168815i −0.346626 0.938004i \(-0.612673\pi\)
0.639022 + 0.769188i \(0.279339\pi\)
\(152\) −6.64516 14.9482i −0.0437181 0.0983433i
\(153\) −174.228 58.5192i −1.13874 0.382479i
\(154\) 143.929 + 58.1829i 0.934604 + 0.377811i
\(155\) −223.717 59.9448i −1.44334 0.386741i
\(156\) −43.3375 18.6684i −0.277804 0.119669i
\(157\) −10.8142 40.3590i −0.0688800 0.257064i 0.922896 0.385049i \(-0.125816\pi\)
−0.991776 + 0.127986i \(0.959149\pi\)
\(158\) −4.84449 + 39.3933i −0.0306613 + 0.249325i
\(159\) 175.409 + 28.6710i 1.10320 + 0.180321i
\(160\) −53.2974 303.952i −0.333109 1.89970i
\(161\) 121.628i 0.755456i
\(162\) 44.2644 + 155.835i 0.273237 + 0.961947i
\(163\) −5.70764 + 5.70764i −0.0350162 + 0.0350162i −0.724398 0.689382i \(-0.757882\pi\)
0.689382 + 0.724398i \(0.257882\pi\)
\(164\) 232.836 + 58.1466i 1.41973 + 0.354552i
\(165\) 209.061 150.319i 1.26703 0.911026i
\(166\) 124.438 97.1839i 0.749629 0.585445i
\(167\) 76.5669 132.618i 0.458485 0.794118i −0.540397 0.841410i \(-0.681726\pi\)
0.998881 + 0.0472920i \(0.0150591\pi\)
\(168\) −148.816 + 147.185i −0.885811 + 0.876104i
\(169\) 132.967 76.7686i 0.786788 0.454252i
\(170\) −365.157 147.614i −2.14798 0.868316i
\(171\) 8.19261 + 16.4794i 0.0479100 + 0.0963707i
\(172\) 153.125 2.61462i 0.890262 0.0152013i
\(173\) 7.17021 26.7596i 0.0414463 0.154680i −0.942101 0.335328i \(-0.891153\pi\)
0.983548 + 0.180648i \(0.0578196\pi\)
\(174\) −188.117 54.9875i −1.08113 0.316020i
\(175\) −296.501 + 513.555i −1.69429 + 2.93460i
\(176\) 136.216 41.5323i 0.773955 0.235979i
\(177\) −115.344 + 141.008i −0.651662 + 0.796656i
\(178\) 173.295 + 130.639i 0.973570 + 0.733928i
\(179\) −91.2881 91.2881i −0.509989 0.509989i 0.404534 0.914523i \(-0.367434\pi\)
−0.914523 + 0.404534i \(0.867434\pi\)
\(180\) 74.6203 + 339.049i 0.414557 + 1.88361i
\(181\) 21.8441 + 21.8441i 0.120686 + 0.120686i 0.764870 0.644184i \(-0.222803\pi\)
−0.644184 + 0.764870i \(0.722803\pi\)
\(182\) 9.53272 + 67.9225i 0.0523776 + 0.373200i
\(183\) −20.7796 54.9425i −0.113550 0.300232i
\(184\) −70.1643 86.7467i −0.381328 0.471450i
\(185\) −100.180 + 173.517i −0.541514 + 0.937930i
\(186\) 123.139 + 74.8515i 0.662035 + 0.402428i
\(187\) 47.0428 175.566i 0.251566 0.938857i
\(188\) 105.733 + 102.183i 0.562411 + 0.543527i
\(189\) 160.137 172.635i 0.847286 0.913414i
\(190\) 15.4029 + 36.3062i 0.0810681 + 0.191085i
\(191\) 190.893 110.212i 0.999439 0.577026i 0.0913567 0.995818i \(-0.470880\pi\)
0.908082 + 0.418792i \(0.137546\pi\)
\(192\) −21.2300 + 190.823i −0.110573 + 0.993868i
\(193\) −25.2352 + 43.7086i −0.130752 + 0.226469i −0.923967 0.382473i \(-0.875073\pi\)
0.793215 + 0.608942i \(0.208406\pi\)
\(194\) 2.54814 20.7204i 0.0131347 0.106806i
\(195\) 103.697 + 46.7840i 0.531779 + 0.239918i
\(196\) 105.010 + 26.2243i 0.535766 + 0.133798i
\(197\) 145.170 145.170i 0.736902 0.736902i −0.235075 0.971977i \(-0.575534\pi\)
0.971977 + 0.235075i \(0.0755337\pi\)
\(198\) −151.090 + 53.2756i −0.763082 + 0.269069i
\(199\) 43.3365i 0.217771i 0.994054 + 0.108886i \(0.0347282\pi\)
−0.994054 + 0.108886i \(0.965272\pi\)
\(200\) 84.7888 + 537.317i 0.423944 + 2.68659i
\(201\) 68.1599 83.3254i 0.339104 0.414554i
\(202\) −74.5805 95.4961i −0.369210 0.472753i
\(203\) 73.7311 + 275.168i 0.363207 + 1.35551i
\(204\) 192.302 + 151.897i 0.942658 + 0.744595i
\(205\) −558.860 149.746i −2.72615 0.730468i
\(206\) 82.1921 + 193.735i 0.398991 + 0.940460i
\(207\) 83.0617 + 94.1026i 0.401264 + 0.454602i
\(208\) 45.9816 + 42.9439i 0.221065 + 0.206461i
\(209\) −15.7616 + 9.09996i −0.0754144 + 0.0435405i
\(210\) 364.781 348.666i 1.73705 1.66031i
\(211\) 83.9145 + 313.173i 0.397699 + 1.48423i 0.817134 + 0.576448i \(0.195562\pi\)
−0.419435 + 0.907785i \(0.637772\pi\)
\(212\) −207.226 114.970i −0.977480 0.542311i
\(213\) 39.8445 + 55.4149i 0.187064 + 0.260164i
\(214\) −255.961 + 35.9233i −1.19608 + 0.167866i
\(215\) −369.216 −1.71729
\(216\) 14.6227 215.504i 0.0676975 0.997706i
\(217\) 209.459i 0.965247i
\(218\) −249.174 + 34.9709i −1.14300 + 0.160417i
\(219\) −190.223 + 136.775i −0.868598 + 0.624541i
\(220\) −330.059 + 94.5073i −1.50027 + 0.429578i
\(221\) 77.5665 20.7839i 0.350980 0.0940447i
\(222\) 90.1168 86.1358i 0.405932 0.387999i
\(223\) 182.085 + 315.380i 0.816523 + 1.41426i 0.908229 + 0.418474i \(0.137435\pi\)
−0.0917056 + 0.995786i \(0.529232\pi\)
\(224\) 253.042 117.703i 1.12965 0.525459i
\(225\) −121.314 599.817i −0.539173 2.66585i
\(226\) −12.6631 29.8481i −0.0560314 0.132071i
\(227\) 83.0798 310.058i 0.365990 1.36589i −0.500083 0.865978i \(-0.666697\pi\)
0.866073 0.499917i \(-0.166636\pi\)
\(228\) −2.86083 24.3707i −0.0125475 0.106889i
\(229\) −376.879 + 100.984i −1.64576 + 0.440980i −0.958421 0.285357i \(-0.907888\pi\)
−0.687339 + 0.726337i \(0.741221\pi\)
\(230\) 165.561 + 211.991i 0.719831 + 0.921702i
\(231\) 180.245 + 147.440i 0.780282 + 0.638268i
\(232\) 211.323 + 153.720i 0.910877 + 0.662584i
\(233\) −88.1182 −0.378190 −0.189095 0.981959i \(-0.560555\pi\)
−0.189095 + 0.981959i \(0.560555\pi\)
\(234\) −53.7605 46.0409i −0.229746 0.196756i
\(235\) −250.665 250.665i −1.06666 1.06666i
\(236\) 208.253 125.023i 0.882427 0.529760i
\(237\) −24.4835 + 54.2677i −0.103306 + 0.228978i
\(238\) 43.4767 353.534i 0.182675 1.48544i
\(239\) −361.872 208.927i −1.51411 0.874171i −0.999863 0.0165275i \(-0.994739\pi\)
−0.514245 0.857643i \(-0.671928\pi\)
\(240\) 59.0291 459.105i 0.245955 1.91294i
\(241\) 20.3206 + 35.1963i 0.0843179 + 0.146043i 0.905100 0.425198i \(-0.139796\pi\)
−0.820782 + 0.571241i \(0.806462\pi\)
\(242\) 32.6366 + 76.9276i 0.134862 + 0.317883i
\(243\) −6.00131 + 242.926i −0.0246967 + 0.999695i
\(244\) 1.33714 + 78.3096i 0.00548008 + 0.320941i
\(245\) −252.048 67.5360i −1.02877 0.275657i
\(246\) 307.608 + 186.984i 1.25044 + 0.760098i
\(247\) −6.96359 4.02043i −0.0281927 0.0162771i
\(248\) −120.831 149.388i −0.487223 0.602372i
\(249\) 221.523 83.7815i 0.889650 0.336472i
\(250\) −115.254 821.204i −0.461015 3.28482i
\(251\) −309.467 + 309.467i −1.23294 + 1.23294i −0.270106 + 0.962831i \(0.587059\pi\)
−0.962831 + 0.270106i \(0.912941\pi\)
\(252\) −278.710 + 144.544i −1.10599 + 0.573589i
\(253\) −87.7721 + 87.7721i −0.346925 + 0.346925i
\(254\) −119.356 89.9771i −0.469907 0.354240i
\(255\) −457.294 374.064i −1.79331 1.46692i
\(256\) 112.573 229.920i 0.439737 0.898127i
\(257\) 352.709 + 203.637i 1.37241 + 0.792361i 0.991231 0.132140i \(-0.0421849\pi\)
0.381179 + 0.924501i \(0.375518\pi\)
\(258\) 220.494 + 64.4516i 0.854629 + 0.249813i
\(259\) −175.024 46.8976i −0.675770 0.181072i
\(260\) −109.071 105.409i −0.419505 0.405420i
\(261\) −244.961 162.543i −0.938548 0.622769i
\(262\) 209.534 + 84.7035i 0.799748 + 0.323296i
\(263\) 193.599 + 335.324i 0.736119 + 1.27500i 0.954231 + 0.299072i \(0.0966769\pi\)
−0.218112 + 0.975924i \(0.569990\pi\)
\(264\) 213.607 + 1.17693i 0.809118 + 0.00445807i
\(265\) 494.787 + 285.665i 1.86712 + 1.07798i
\(266\) −28.1099 + 21.9533i −0.105676 + 0.0825311i
\(267\) 190.039 + 264.302i 0.711756 + 0.989895i
\(268\) −123.062 + 73.8796i −0.459187 + 0.275670i
\(269\) 361.010 + 361.010i 1.34204 + 1.34204i 0.894023 + 0.448022i \(0.147871\pi\)
0.448022 + 0.894023i \(0.352129\pi\)
\(270\) −44.1181 + 518.873i −0.163400 + 1.92175i
\(271\) −226.147 −0.834489 −0.417244 0.908794i \(-0.637004\pi\)
−0.417244 + 0.908794i \(0.637004\pi\)
\(272\) −172.937 277.225i −0.635796 1.01921i
\(273\) −16.5961 + 101.535i −0.0607916 + 0.371922i
\(274\) −13.9807 + 113.685i −0.0510246 + 0.414910i
\(275\) 584.570 156.635i 2.12571 0.569582i
\(276\) −61.8663 155.501i −0.224153 0.563410i
\(277\) −30.8872 + 115.273i −0.111506 + 0.416147i −0.999002 0.0446692i \(-0.985777\pi\)
0.887496 + 0.460816i \(0.152443\pi\)
\(278\) −218.373 88.2767i −0.785514 0.317542i
\(279\) 143.042 + 162.056i 0.512696 + 0.580846i
\(280\) −614.804 + 273.308i −2.19573 + 0.976102i
\(281\) 96.3536 + 166.889i 0.342895 + 0.593912i 0.984969 0.172731i \(-0.0552590\pi\)
−0.642074 + 0.766643i \(0.721926\pi\)
\(282\) 105.939 + 193.453i 0.375670 + 0.686002i
\(283\) 130.006 34.8350i 0.459384 0.123092i −0.0217027 0.999764i \(-0.506909\pi\)
0.481087 + 0.876673i \(0.340242\pi\)
\(284\) −25.0507 87.4875i −0.0882066 0.308054i
\(285\) 5.89296 + 58.8634i 0.0206770 + 0.206538i
\(286\) 42.1365 55.8949i 0.147330 0.195437i
\(287\) 523.242i 1.82314i
\(288\) −115.395 + 263.871i −0.400677 + 0.916220i
\(289\) −128.034 −0.443025
\(290\) −503.069 379.240i −1.73472 1.30772i
\(291\) 12.8780 28.5441i 0.0442543 0.0980899i
\(292\) 300.319 85.9915i 1.02849 0.294492i
\(293\) 109.866 + 410.025i 0.374969 + 1.39940i 0.853390 + 0.521273i \(0.174543\pi\)
−0.478421 + 0.878130i \(0.658791\pi\)
\(294\) 138.733 + 84.3305i 0.471879 + 0.286839i
\(295\) −507.141 + 292.798i −1.71912 + 0.992535i
\(296\) −151.883 + 67.5192i −0.513120 + 0.228105i
\(297\) −240.143 + 9.01927i −0.808561 + 0.0303679i
\(298\) −69.4933 + 171.908i −0.233199 + 0.576872i
\(299\) −52.9723 14.1939i −0.177165 0.0474712i
\(300\) −117.855 + 807.392i −0.392850 + 2.69131i
\(301\) −86.4212 322.528i −0.287114 1.07152i
\(302\) −101.202 12.4456i −0.335106 0.0412105i
\(303\) −64.2953 170.000i −0.212196 0.561057i
\(304\) −7.38403 + 31.8732i −0.0242896 + 0.104846i
\(305\) 188.821i 0.619084i
\(306\) 207.796 + 303.216i 0.679071 + 0.990902i
\(307\) 320.318 320.318i 1.04338 1.04338i 0.0443664 0.999015i \(-0.485873\pi\)
0.999015 0.0443664i \(-0.0141269\pi\)
\(308\) −159.812 266.202i −0.518872 0.864291i
\(309\) 31.4456 + 314.103i 0.101766 + 1.01651i
\(310\) 285.116 + 365.075i 0.919729 + 1.17766i
\(311\) 174.040 301.447i 0.559615 0.969281i −0.437914 0.899017i \(-0.644282\pi\)
0.997528 0.0702643i \(-0.0223843\pi\)
\(312\) 46.7363 + 81.9897i 0.149796 + 0.262787i
\(313\) 193.014 111.437i 0.616657 0.356027i −0.158909 0.987293i \(-0.550798\pi\)
0.775566 + 0.631266i \(0.217464\pi\)
\(314\) −31.3189 + 77.4745i −0.0997416 + 0.246734i
\(315\) 677.781 336.954i 2.15168 1.06969i
\(316\) 55.1638 57.0803i 0.174569 0.180634i
\(317\) 66.4963 248.167i 0.209767 0.782863i −0.778176 0.628046i \(-0.783855\pi\)
0.987943 0.154816i \(-0.0494785\pi\)
\(318\) −245.618 256.970i −0.772382 0.808080i
\(319\) 145.365 251.780i 0.455691 0.789280i
\(320\) −280.820 + 549.591i −0.877563 + 1.71747i
\(321\) −382.626 62.5411i −1.19198 0.194832i
\(322\) −146.432 + 194.246i −0.454759 + 0.603247i
\(323\) 29.5277 + 29.5277i 0.0914169 + 0.0914169i
\(324\) 116.923 302.167i 0.360874 0.932614i
\(325\) 189.065 + 189.065i 0.581738 + 0.581738i
\(326\) 15.9870 2.24372i 0.0490398 0.00688259i
\(327\) −372.482 60.8829i −1.13909 0.186186i
\(328\) −301.845 373.182i −0.920258 1.13775i
\(329\) 160.296 277.640i 0.487220 0.843891i
\(330\) −514.853 11.6290i −1.56016 0.0352393i
\(331\) −11.8727 + 44.3094i −0.0358691 + 0.133865i −0.981539 0.191264i \(-0.938741\pi\)
0.945669 + 0.325130i \(0.105408\pi\)
\(332\) −315.736 + 5.39121i −0.951013 + 0.0162386i
\(333\) 167.441 83.2423i 0.502827 0.249977i
\(334\) −281.944 + 119.615i −0.844142 + 0.358128i
\(335\) 299.683 173.022i 0.894576 0.516484i
\(336\) 414.867 55.8964i 1.23472 0.166358i
\(337\) −121.097 + 209.747i −0.359339 + 0.622394i −0.987851 0.155407i \(-0.950331\pi\)
0.628511 + 0.777800i \(0.283665\pi\)
\(338\) −304.778 37.4808i −0.901711 0.110890i
\(339\) −4.84473 48.3929i −0.0142912 0.142752i
\(340\) 405.454 + 675.370i 1.19251 + 1.98638i
\(341\) −151.154 + 151.154i −0.443267 + 0.443267i
\(342\) 6.75615 36.1817i 0.0197548 0.105794i
\(343\) 191.353i 0.557881i
\(344\) −247.695 180.177i −0.720044 0.523770i
\(345\) 142.729 + 377.383i 0.413707 + 1.09386i
\(346\) −43.6679 + 34.1037i −0.126208 + 0.0985657i
\(347\) −5.72586 21.3692i −0.0165010 0.0615828i 0.957184 0.289479i \(-0.0934820\pi\)
−0.973685 + 0.227896i \(0.926815\pi\)
\(348\) 234.229 + 314.298i 0.673073 + 0.903154i
\(349\) −49.8135 13.3475i −0.142732 0.0382450i 0.186746 0.982408i \(-0.440206\pi\)
−0.329478 + 0.944163i \(0.606873\pi\)
\(350\) 1091.81 463.201i 3.11946 1.32343i
\(351\) −56.4993 89.8901i −0.160967 0.256097i
\(352\) −267.545 97.6663i −0.760071 0.277461i
\(353\) 543.350 313.703i 1.53924 0.888678i 0.540351 0.841439i \(-0.318291\pi\)
0.998884 0.0472383i \(-0.0150420\pi\)
\(354\) 353.974 86.3293i 0.999926 0.243868i
\(355\) 56.7838 + 211.920i 0.159954 + 0.596958i
\(356\) −119.479 417.272i −0.335616 1.17211i
\(357\) 219.726 487.024i 0.615479 1.36421i
\(358\) 35.8862 + 255.696i 0.100241 + 0.714234i
\(359\) 619.161 1.72468 0.862341 0.506328i \(-0.168998\pi\)
0.862341 + 0.506328i \(0.168998\pi\)
\(360\) 289.021 631.314i 0.802836 1.75365i
\(361\) 356.819i 0.988417i
\(362\) −8.58711 61.1848i −0.0237213 0.169019i
\(363\) 12.4863 + 124.723i 0.0343976 + 0.343590i
\(364\) 66.5500 119.952i 0.182830 0.329538i
\(365\) −727.459 + 194.922i −1.99304 + 0.534033i
\(366\) −32.9612 + 112.763i −0.0900578 + 0.308095i
\(367\) −83.2812 144.247i −0.226924 0.393044i 0.729971 0.683478i \(-0.239534\pi\)
−0.956895 + 0.290434i \(0.906200\pi\)
\(368\) 7.61807 + 223.011i 0.0207013 + 0.606009i
\(369\) 357.329 + 404.826i 0.968371 + 1.09709i
\(370\) 368.895 156.504i 0.997013 0.422984i
\(371\) −133.729 + 499.085i −0.360456 + 1.34524i
\(372\) −106.541 267.792i −0.286401 0.719870i
\(373\) −284.269 + 76.1698i −0.762117 + 0.204209i −0.618886 0.785481i \(-0.712416\pi\)
−0.143231 + 0.989689i \(0.545749\pi\)
\(374\) −286.499 + 223.750i −0.766041 + 0.598263i
\(375\) 200.652 1227.59i 0.535072 3.27357i
\(376\) −45.8388 290.486i −0.121912 0.772570i
\(377\) 128.447 0.340709
\(378\) −463.587 + 82.9116i −1.22642 + 0.219343i
\(379\) −126.432 126.432i −0.333593 0.333593i 0.520356 0.853949i \(-0.325799\pi\)
−0.853949 + 0.520356i \(0.825799\pi\)
\(380\) 19.1111 76.5267i 0.0502924 0.201386i
\(381\) −130.888 182.037i −0.343539 0.477787i
\(382\) −437.552 53.8090i −1.14542 0.140861i
\(383\) 630.939 + 364.273i 1.64736 + 0.951103i 0.978116 + 0.208060i \(0.0667149\pi\)
0.669243 + 0.743043i \(0.266618\pi\)
\(384\) 263.643 279.192i 0.686570 0.727064i
\(385\) 374.272 + 648.258i 0.972136 + 1.68379i
\(386\) 92.9238 39.4230i 0.240735 0.102132i
\(387\) 287.122 + 190.519i 0.741918 + 0.492296i
\(388\) −29.0154 + 30.0235i −0.0747821 + 0.0773803i
\(389\) 30.6634 + 8.21624i 0.0788262 + 0.0211214i 0.298017 0.954561i \(-0.403675\pi\)
−0.219190 + 0.975682i \(0.570342\pi\)
\(390\) −109.284 199.560i −0.280214 0.511693i
\(391\) 246.647 + 142.402i 0.630812 + 0.364199i
\(392\) −136.133 168.306i −0.347278 0.429353i
\(393\) 262.404 + 214.645i 0.667694 + 0.546171i
\(394\) −406.617 + 57.0675i −1.03202 + 0.144841i
\(395\) −135.322 + 135.322i −0.342587 + 0.342587i
\(396\) 305.438 + 96.8192i 0.771308 + 0.244493i
\(397\) 113.569 113.569i 0.286068 0.286068i −0.549455 0.835523i \(-0.685165\pi\)
0.835523 + 0.549455i \(0.185165\pi\)
\(398\) 52.1742 69.2102i 0.131091 0.173895i
\(399\) −50.0407 + 18.9257i −0.125415 + 0.0474329i
\(400\) 511.483 960.198i 1.27871 2.40050i
\(401\) −343.971 198.592i −0.857783 0.495242i 0.00548594 0.999985i \(-0.498254\pi\)
−0.863269 + 0.504743i \(0.831587\pi\)
\(402\) −209.172 + 51.0143i −0.520330 + 0.126901i
\(403\) −91.2246 24.4436i −0.226364 0.0606540i
\(404\) 4.13730 + 242.301i 0.0102408 + 0.599756i
\(405\) −294.281 + 723.563i −0.726620 + 1.78658i
\(406\) 213.533 528.223i 0.525942 1.30104i
\(407\) 92.4616 + 160.148i 0.227178 + 0.393485i
\(408\) −124.241 474.105i −0.304511 1.16202i
\(409\) −448.224 258.782i −1.09590 0.632720i −0.160761 0.986993i \(-0.551395\pi\)
−0.935142 + 0.354274i \(0.884728\pi\)
\(410\) 712.239 + 911.981i 1.73717 + 2.22434i
\(411\) −70.6570 + 156.612i −0.171915 + 0.381050i
\(412\) 101.980 408.356i 0.247523 0.991157i
\(413\) −374.478 374.478i −0.906726 0.906726i
\(414\) −19.3598 250.286i −0.0467628 0.604557i
\(415\) 761.306 1.83447
\(416\) −21.7330 123.942i −0.0522427 0.297937i
\(417\) −273.473 223.700i −0.655810 0.536450i
\(418\) 36.1277 + 4.44289i 0.0864299 + 0.0106289i
\(419\) −419.976 + 112.532i −1.00233 + 0.268573i −0.722421 0.691453i \(-0.756971\pi\)
−0.279909 + 0.960027i \(0.590304\pi\)
\(420\) −1002.34 + 117.663i −2.38653 + 0.280150i
\(421\) 159.837 596.521i 0.379661 1.41692i −0.466752 0.884388i \(-0.654576\pi\)
0.846413 0.532527i \(-0.178758\pi\)
\(422\) 243.025 601.178i 0.575888 1.42459i
\(423\) 65.5852 + 324.275i 0.155048 + 0.766608i
\(424\) 192.532 + 433.098i 0.454085 + 1.02146i
\(425\) −694.284 1202.54i −1.63361 2.82950i
\(426\) 3.08244 136.470i 0.00723578 0.320352i
\(427\) 164.944 44.1966i 0.386286 0.103505i
\(428\) 452.029 + 250.788i 1.05614 + 0.585954i
\(429\) 85.2482 61.2954i 0.198714 0.142880i
\(430\) 589.654 + 444.512i 1.37129 + 1.03375i
\(431\) 427.020i 0.990765i −0.868675 0.495382i \(-0.835028\pi\)
0.868675 0.495382i \(-0.164972\pi\)
\(432\) −282.806 + 326.565i −0.654644 + 0.755938i
\(433\) −598.712 −1.38271 −0.691353 0.722517i \(-0.742985\pi\)
−0.691353 + 0.722517i \(0.742985\pi\)
\(434\) −252.174 + 334.514i −0.581047 + 0.770770i
\(435\) −551.675 767.257i −1.26822 1.76381i
\(436\) 440.044 + 244.139i 1.00928 + 0.559952i
\(437\) −7.38099 27.5462i −0.0168901 0.0630349i
\(438\) 468.462 + 10.5811i 1.06955 + 0.0241578i
\(439\) 109.152 63.0187i 0.248637 0.143551i −0.370503 0.928831i \(-0.620815\pi\)
0.619140 + 0.785281i \(0.287481\pi\)
\(440\) 640.899 + 246.437i 1.45659 + 0.560085i
\(441\) 161.157 + 182.578i 0.365435 + 0.414010i
\(442\) −148.899 60.1921i −0.336876 0.136181i
\(443\) −172.539 46.2316i −0.389478 0.104360i 0.0587654 0.998272i \(-0.481284\pi\)
−0.448244 + 0.893911i \(0.647950\pi\)
\(444\) −247.622 + 29.0679i −0.557708 + 0.0654682i
\(445\) 270.831 + 1010.76i 0.608609 + 2.27136i
\(446\) 88.8995 722.893i 0.199326 1.62084i
\(447\) −176.101 + 215.284i −0.393962 + 0.481619i
\(448\) −545.825 116.669i −1.21836 0.260422i
\(449\) 219.897i 0.489748i 0.969555 + 0.244874i \(0.0787466\pi\)
−0.969555 + 0.244874i \(0.921253\pi\)
\(450\) −528.396 + 1103.99i −1.17421 + 2.45330i
\(451\) −377.593 + 377.593i −0.837235 + 0.837235i
\(452\) −15.7117 + 62.9142i −0.0347603 + 0.139191i
\(453\) −139.415 62.8984i −0.307759 0.138849i
\(454\) −505.971 + 395.153i −1.11447 + 0.870382i
\(455\) −165.356 + 286.405i −0.363420 + 0.629462i
\(456\) −24.7718 + 42.3653i −0.0543242 + 0.0929063i
\(457\) 465.977 269.032i 1.01964 0.588692i 0.105643 0.994404i \(-0.466310\pi\)
0.914001 + 0.405712i \(0.132977\pi\)
\(458\) 723.471 + 292.461i 1.57963 + 0.638561i
\(459\) 162.596 + 526.859i 0.354239 + 1.14784i
\(460\) −9.18438 537.884i −0.0199660 1.16931i
\(461\) −104.571 + 390.266i −0.226836 + 0.846564i 0.754824 + 0.655927i \(0.227722\pi\)
−0.981661 + 0.190637i \(0.938945\pi\)
\(462\) −110.351 452.471i −0.238856 0.979375i
\(463\) 410.209 710.503i 0.885980 1.53456i 0.0413942 0.999143i \(-0.486820\pi\)
0.844586 0.535420i \(-0.179847\pi\)
\(464\) −152.424 499.916i −0.328501 1.07741i
\(465\) 245.796 + 649.899i 0.528594 + 1.39763i
\(466\) 140.729 + 106.088i 0.301993 + 0.227658i
\(467\) 66.4642 + 66.4642i 0.142322 + 0.142322i 0.774678 0.632356i \(-0.217912\pi\)
−0.632356 + 0.774678i \(0.717912\pi\)
\(468\) 30.4277 + 138.253i 0.0650165 + 0.295413i
\(469\) 221.289 + 221.289i 0.471831 + 0.471831i
\(470\) 98.5385 + 702.106i 0.209656 + 1.49384i
\(471\) −79.3644 + 97.0229i −0.168502 + 0.205993i
\(472\) −483.108 51.0551i −1.02353 0.108168i
\(473\) −170.385 + 295.115i −0.360222 + 0.623922i
\(474\) 104.436 57.1914i 0.220329 0.120657i
\(475\) −35.9862 + 134.302i −0.0757605 + 0.282742i
\(476\) −495.065 + 512.266i −1.04005 + 1.07619i
\(477\) −237.367 477.462i −0.497624 1.00097i
\(478\) 326.391 + 769.335i 0.682826 + 1.60949i
\(479\) −402.738 + 232.521i −0.840788 + 0.485429i −0.857532 0.514430i \(-0.828003\pi\)
0.0167438 + 0.999860i \(0.494670\pi\)
\(480\) −647.004 + 662.144i −1.34793 + 1.37947i
\(481\) −40.8502 + 70.7547i −0.0849277 + 0.147099i
\(482\) 9.92116 80.6747i 0.0205833 0.167375i
\(483\) −296.254 + 213.013i −0.613363 + 0.441021i
\(484\) 40.4937 162.149i 0.0836647 0.335019i
\(485\) 71.1777 71.1777i 0.146758 0.146758i
\(486\) 302.051 380.738i 0.621504 0.783411i
\(487\) 262.515i 0.539045i −0.962994 0.269522i \(-0.913134\pi\)
0.962994 0.269522i \(-0.0868658\pi\)
\(488\) 92.1440 126.674i 0.188820 0.259577i
\(489\) 23.8983 + 3.90624i 0.0488719 + 0.00798821i
\(490\) 321.222 + 411.307i 0.655556 + 0.839402i
\(491\) −77.3859 288.808i −0.157609 0.588204i −0.998868 0.0475716i \(-0.984852\pi\)
0.841259 0.540632i \(-0.181815\pi\)
\(492\) −266.147 668.961i −0.540949 1.35968i
\(493\) −644.332 172.648i −1.30696 0.350199i
\(494\) 6.28082 + 14.8045i 0.0127142 + 0.0299686i
\(495\) −732.275 245.955i −1.47934 0.496879i
\(496\) 13.1192 + 384.052i 0.0264501 + 0.774299i
\(497\) −171.831 + 99.2068i −0.345737 + 0.199611i
\(498\) −454.649 132.896i −0.912949 0.266860i
\(499\) −81.8323 305.402i −0.163993 0.612029i −0.998167 0.0605272i \(-0.980722\pi\)
0.834174 0.551501i \(-0.185945\pi\)
\(500\) −804.610 + 1450.26i −1.60922 + 2.90051i
\(501\) −457.116 + 45.7630i −0.912408 + 0.0913433i
\(502\) 866.810 121.654i 1.72671 0.242339i
\(503\) −67.4820 −0.134159 −0.0670795 0.997748i \(-0.521368\pi\)
−0.0670795 + 0.997748i \(0.521368\pi\)
\(504\) 619.133 + 104.704i 1.22844 + 0.207747i
\(505\) 584.239i 1.15691i
\(506\) 245.848 34.5040i 0.485865 0.0681897i
\(507\) −419.859 189.424i −0.828124 0.373617i
\(508\) 82.2909 + 287.394i 0.161990 + 0.565737i
\(509\) 186.107 49.8672i 0.365633 0.0979710i −0.0713249 0.997453i \(-0.522723\pi\)
0.436957 + 0.899482i \(0.356056\pi\)
\(510\) 279.969 + 1147.95i 0.548958 + 2.25088i
\(511\) −340.548 589.846i −0.666434 1.15430i
\(512\) −456.592 + 231.663i −0.891781 + 0.452467i
\(513\) 25.7913 48.8161i 0.0502754 0.0951581i
\(514\) −318.127 749.855i −0.618923 1.45886i
\(515\) −262.630 + 980.148i −0.509961 + 1.90320i
\(516\) −274.543 368.393i −0.532061 0.713939i
\(517\) −316.033 + 84.6807i −0.611282 + 0.163792i
\(518\) 223.060 + 285.615i 0.430617 + 0.551381i
\(519\) −77.7367 + 29.4006i −0.149782 + 0.0566485i
\(520\) 47.2860 + 299.657i 0.0909347 + 0.576264i
\(521\) 861.429 1.65341 0.826707 0.562632i \(-0.190211\pi\)
0.826707 + 0.562632i \(0.190211\pi\)
\(522\) 195.523 + 554.505i 0.374564 + 1.06227i
\(523\) −9.70560 9.70560i −0.0185576 0.0185576i 0.697767 0.716325i \(-0.254177\pi\)
−0.716325 + 0.697767i \(0.754177\pi\)
\(524\) −232.657 387.540i −0.444002 0.739580i
\(525\) 1770.16 177.215i 3.37173 0.337552i
\(526\) 94.5213 768.607i 0.179698 1.46123i
\(527\) 424.757 + 245.233i 0.805990 + 0.465338i
\(528\) −339.723 259.049i −0.643415 0.490622i
\(529\) 167.250 + 289.685i 0.316162 + 0.547609i
\(530\) −446.273 1051.91i −0.842025 1.98474i
\(531\) 545.465 + 33.9934i 1.02724 + 0.0640178i
\(532\) 71.3230 1.21784i 0.134066 0.00228918i
\(533\) −227.885 61.0616i −0.427552 0.114562i
\(534\) 14.7017 650.895i 0.0275313 1.21891i
\(535\) −1079.30 623.132i −2.01738 1.16473i
\(536\) 285.482 + 30.1698i 0.532615 + 0.0562870i
\(537\) −62.4764 + 382.230i −0.116343 + 0.711788i
\(538\) −141.916 1011.18i −0.263785 1.87952i
\(539\) −170.296 + 170.296i −0.315948 + 0.315948i
\(540\) 695.147 775.547i 1.28731 1.43620i
\(541\) −29.9877 + 29.9877i −0.0554301 + 0.0554301i −0.734278 0.678848i \(-0.762479\pi\)
0.678848 + 0.734278i \(0.262479\pi\)
\(542\) 361.166 + 272.265i 0.666357 + 0.502335i
\(543\) 14.9498 91.4629i 0.0275319 0.168440i
\(544\) −57.5733 + 650.944i −0.105833 + 1.19659i
\(545\) −1050.68 606.611i −1.92786 1.11305i
\(546\) 148.746 142.175i 0.272428 0.260393i
\(547\) 1019.12 + 273.072i 1.86310 + 0.499217i 0.999983 0.00577947i \(-0.00183967\pi\)
0.863121 + 0.504997i \(0.168506\pi\)
\(548\) 159.197 164.729i 0.290506 0.300599i
\(549\) −97.4329 + 146.837i −0.177473 + 0.267463i
\(550\) −1122.16 453.631i −2.04029 0.824783i
\(551\) 33.3971 + 57.8454i 0.0606117 + 0.104983i
\(552\) −88.4099 + 322.825i −0.160163 + 0.584828i
\(553\) −149.885 86.5359i −0.271039 0.156485i
\(554\) 188.109 146.909i 0.339547 0.265179i
\(555\) 598.091 59.8763i 1.07764 0.107885i
\(556\) 242.472 + 403.888i 0.436100 + 0.726418i
\(557\) 78.8086 + 78.8086i 0.141488 + 0.141488i 0.774303 0.632815i \(-0.218101\pi\)
−0.632815 + 0.774303i \(0.718101\pi\)
\(558\) −33.3399 431.023i −0.0597489 0.772443i
\(559\) −150.555 −0.269328
\(560\) 1310.91 + 303.697i 2.34092 + 0.542317i
\(561\) −510.021 + 192.893i −0.909127 + 0.343838i
\(562\) 47.0429 382.533i 0.0837062 0.680663i
\(563\) 446.283 119.581i 0.792688 0.212400i 0.160317 0.987066i \(-0.448748\pi\)
0.632371 + 0.774666i \(0.282082\pi\)
\(564\) 63.7152 436.496i 0.112970 0.773928i
\(565\) 40.4626 151.008i 0.0716152 0.267272i
\(566\) −249.564 100.885i −0.440925 0.178243i
\(567\) −700.949 87.7070i −1.23624 0.154686i
\(568\) −65.3221 + 169.881i −0.115004 + 0.299085i
\(569\) 101.327 + 175.503i 0.178079 + 0.308441i 0.941222 0.337788i \(-0.109679\pi\)
−0.763144 + 0.646229i \(0.776345\pi\)
\(570\) 61.4563 101.102i 0.107818 0.177372i
\(571\) 372.354 99.7721i 0.652109 0.174732i 0.0824269 0.996597i \(-0.473733\pi\)
0.569682 + 0.821865i \(0.307066\pi\)
\(572\) −134.588 + 38.5370i −0.235293 + 0.0673724i
\(573\) −602.766 271.945i −1.05195 0.474598i
\(574\) −629.948 + 835.639i −1.09747 + 1.45582i
\(575\) 948.292i 1.64920i
\(576\) 501.974 282.486i 0.871482 0.490427i
\(577\) −297.597 −0.515765 −0.257883 0.966176i \(-0.583025\pi\)
−0.257883 + 0.966176i \(0.583025\pi\)
\(578\) 204.476 + 154.145i 0.353765 + 0.266686i
\(579\) 150.658 15.0827i 0.260204 0.0260496i
\(580\) 346.844 + 1211.32i 0.598006 + 2.08849i
\(581\) 178.196 + 665.038i 0.306706 + 1.14464i
\(582\) −54.9320 + 30.0820i −0.0943848 + 0.0516872i
\(583\) 456.665 263.656i 0.783302 0.452240i
\(584\) −583.150 224.232i −0.998544 0.383958i
\(585\) −67.6558 334.513i −0.115651 0.571817i
\(586\) 318.182 787.099i 0.542973 1.34317i
\(587\) −516.751 138.463i −0.880325 0.235882i −0.209778 0.977749i \(-0.567274\pi\)
−0.670547 + 0.741867i \(0.733941\pi\)
\(588\) −120.033 301.704i −0.204138 0.513102i
\(589\) −12.7110 47.4379i −0.0215806 0.0805398i
\(590\) 1162.43 + 142.953i 1.97023 + 0.242293i
\(591\) −607.836 99.3522i −1.02849 0.168109i
\(592\) 323.853 + 75.0265i 0.547049 + 0.126734i
\(593\) 181.495i 0.306063i −0.988221 0.153031i \(-0.951096\pi\)
0.988221 0.153031i \(-0.0489035\pi\)
\(594\) 394.376 + 274.711i 0.663933 + 0.462477i
\(595\) 1214.44 1214.44i 2.04108 2.04108i
\(596\) 317.949 190.879i 0.533472 0.320267i
\(597\) 105.556 75.8971i 0.176811 0.127131i
\(598\) 67.5105 + 86.4433i 0.112894 + 0.144554i
\(599\) 18.6182 32.2477i 0.0310821 0.0538358i −0.850066 0.526676i \(-0.823438\pi\)
0.881148 + 0.472841i \(0.156771\pi\)
\(600\) 1160.27 1147.55i 1.93378 1.91258i
\(601\) −583.511 + 336.890i −0.970901 + 0.560550i −0.899511 0.436899i \(-0.856077\pi\)
−0.0713901 + 0.997448i \(0.522744\pi\)
\(602\) −250.284 + 619.137i −0.415755 + 1.02847i
\(603\) −322.330 20.0876i −0.534544 0.0333128i
\(604\) 146.640 + 141.717i 0.242782 + 0.234630i
\(605\) −104.284 + 389.194i −0.172371 + 0.643296i
\(606\) −101.987 + 348.905i −0.168295 + 0.575750i
\(607\) −85.4343 + 147.977i −0.140748 + 0.243783i −0.927779 0.373131i \(-0.878284\pi\)
0.787030 + 0.616914i \(0.211618\pi\)
\(608\) 50.1658 42.0130i 0.0825096 0.0691003i
\(609\) 541.108 661.504i 0.888518 1.08621i
\(610\) −227.328 + 301.555i −0.372668 + 0.494352i
\(611\) −102.213 102.213i −0.167288 0.167288i
\(612\) 33.1936 734.421i 0.0542379 1.20003i
\(613\) −357.490 357.490i −0.583181 0.583181i 0.352595 0.935776i \(-0.385299\pi\)
−0.935776 + 0.352595i \(0.885299\pi\)
\(614\) −897.203 + 125.920i −1.46124 + 0.205081i
\(615\) 614.015 + 1623.49i 0.998399 + 2.63982i
\(616\) −65.2618 + 617.539i −0.105944 + 1.00250i
\(617\) −425.433 + 736.871i −0.689518 + 1.19428i 0.282476 + 0.959274i \(0.408844\pi\)
−0.971994 + 0.235006i \(0.924489\pi\)
\(618\) 327.939 539.494i 0.530646 0.872968i
\(619\) −74.1354 + 276.677i −0.119766 + 0.446974i −0.999599 0.0283089i \(-0.990988\pi\)
0.879833 + 0.475283i \(0.157654\pi\)
\(620\) −15.8166 926.301i −0.0255107 1.49403i
\(621\) 83.7390 367.122i 0.134845 0.591179i
\(622\) −640.871 + 271.890i −1.03034 + 0.437122i
\(623\) −819.551 + 473.168i −1.31549 + 0.759499i
\(624\) 24.0702 187.208i 0.0385740 0.300013i
\(625\) 1149.26 1990.58i 1.83882 3.18493i
\(626\) −442.413 54.4068i −0.706731 0.0869119i
\(627\) 49.7691 + 22.4539i 0.0793765 + 0.0358116i
\(628\) 143.292 86.0243i 0.228172 0.136981i
\(629\) 300.020 300.020i 0.476980 0.476980i
\(630\) −1488.11 277.873i −2.36209 0.441069i
\(631\) 193.264i 0.306282i 0.988204 + 0.153141i \(0.0489389\pi\)
−0.988204 + 0.153141i \(0.951061\pi\)
\(632\) −156.820 + 24.7462i −0.248133 + 0.0391554i
\(633\) 615.843 752.868i 0.972895 1.18936i
\(634\) −404.974 + 316.277i −0.638761 + 0.498859i
\(635\) −186.534 696.153i −0.293754 1.09630i
\(636\) 82.8875 + 706.098i 0.130326 + 1.11022i
\(637\) −102.777 27.5390i −0.161345 0.0432324i
\(638\) −535.282 + 227.094i −0.839000 + 0.355946i
\(639\) 65.1943 194.101i 0.102026 0.303758i
\(640\) 1110.15 539.632i 1.73461 0.843174i
\(641\) 844.914 487.811i 1.31812 0.761016i 0.334693 0.942327i \(-0.391367\pi\)
0.983426 + 0.181311i \(0.0580341\pi\)
\(642\) 535.775 + 560.537i 0.834540 + 0.873111i
\(643\) −87.1467 325.236i −0.135531 0.505810i −0.999995 0.00311486i \(-0.999009\pi\)
0.864464 0.502695i \(-0.167658\pi\)
\(644\) 467.718 133.924i 0.726270 0.207956i
\(645\) 646.625 + 899.312i 1.00252 + 1.39428i
\(646\) −11.6076 82.7063i −0.0179684 0.128028i
\(647\) 136.600 0.211129 0.105564 0.994412i \(-0.466335\pi\)
0.105564 + 0.994412i \(0.466335\pi\)
\(648\) −550.520 + 341.806i −0.849569 + 0.527478i
\(649\) 540.478i 0.832785i
\(650\) −74.3231 529.566i −0.114343 0.814718i
\(651\) −510.185 + 366.834i −0.783695 + 0.563494i
\(652\) −28.2332 15.6639i −0.0433024 0.0240244i
\(653\) −614.540 + 164.666i −0.941103 + 0.252168i −0.696583 0.717476i \(-0.745297\pi\)
−0.244520 + 0.969644i \(0.578630\pi\)
\(654\) 521.570 + 545.676i 0.797507 + 0.834366i
\(655\) 544.871 + 943.744i 0.831864 + 1.44083i
\(656\) 32.7727 + 959.388i 0.0499584 + 1.46248i
\(657\) 666.292 + 223.793i 1.01414 + 0.340628i
\(658\) −590.259 + 250.418i −0.897050 + 0.380574i
\(659\) 233.363 870.921i 0.354116 1.32158i −0.527477 0.849569i \(-0.676862\pi\)
0.881593 0.472010i \(-0.156471\pi\)
\(660\) 808.242 + 638.421i 1.22461 + 0.967304i
\(661\) 931.114 249.491i 1.40864 0.377445i 0.527204 0.849739i \(-0.323240\pi\)
0.881441 + 0.472294i \(0.156574\pi\)
\(662\) 72.3067 56.4701i 0.109225 0.0853022i
\(663\) −186.470 152.531i −0.281251 0.230062i
\(664\) 510.735 + 371.516i 0.769179 + 0.559511i
\(665\) −171.975 −0.258608
\(666\) −367.629 68.6469i −0.551996 0.103073i
\(667\) 322.126 + 322.126i 0.482947 + 0.482947i
\(668\) 594.284 + 148.411i 0.889647 + 0.222173i
\(669\) 449.288 995.849i 0.671581 1.48856i
\(670\) −686.913 84.4748i −1.02524 0.126082i
\(671\) −150.925 87.1364i −0.224925 0.129860i
\(672\) −729.856 410.204i −1.08610 0.610422i
\(673\) 141.447 + 244.994i 0.210174 + 0.364033i 0.951769 0.306816i \(-0.0992635\pi\)
−0.741595 + 0.670848i \(0.765930\pi\)
\(674\) 445.919 189.181i 0.661600 0.280684i
\(675\) −1248.53 + 1345.97i −1.84967 + 1.99404i
\(676\) 441.619 + 426.791i 0.653283 + 0.631348i
\(677\) 630.350 + 168.902i 0.931094 + 0.249486i 0.692321 0.721590i \(-0.256588\pi\)
0.238773 + 0.971076i \(0.423255\pi\)
\(678\) −50.5246 + 83.1183i −0.0745201 + 0.122593i
\(679\) 78.8374 + 45.5168i 0.116108 + 0.0670351i
\(680\) 165.573 1566.74i 0.243490 2.30402i
\(681\) −900.720 + 340.659i −1.32264 + 0.500233i
\(682\) 423.379 59.4201i 0.620791 0.0871262i
\(683\) −111.182 + 111.182i −0.162785 + 0.162785i −0.783799 0.621014i \(-0.786721\pi\)
0.621014 + 0.783799i \(0.286721\pi\)
\(684\) −54.3502 + 49.6497i −0.0794593 + 0.0725873i
\(685\) −390.527 + 390.527i −0.570112 + 0.570112i
\(686\) 230.377 305.599i 0.335826 0.445480i
\(687\) 906.016 + 741.118i 1.31880 + 1.07877i
\(688\) 178.659 + 585.958i 0.259678 + 0.851683i
\(689\) 201.758 + 116.485i 0.292827 + 0.169064i
\(690\) 226.400 774.532i 0.328116 1.12251i
\(691\) −1237.17 331.499i −1.79041 0.479739i −0.797993 0.602667i \(-0.794105\pi\)
−0.992416 + 0.122928i \(0.960772\pi\)
\(692\) 110.798 1.89188i 0.160113 0.00273393i
\(693\) 43.4525 697.247i 0.0627020 1.00613i
\(694\) −16.5827 + 41.0211i −0.0238943 + 0.0591082i
\(695\) −567.856 983.555i −0.817059 1.41519i
\(696\) 4.31936 783.943i 0.00620597 1.12636i
\(697\) 1061.07 + 612.609i 1.52234 + 0.878923i
\(698\) 63.4848 + 81.2887i 0.0909525 + 0.116459i
\(699\) 154.325 + 214.632i 0.220780 + 0.307056i
\(700\) −2301.33 574.715i −3.28762 0.821022i
\(701\) 184.271 + 184.271i 0.262869 + 0.262869i 0.826219 0.563350i \(-0.190488\pi\)
−0.563350 + 0.826219i \(0.690488\pi\)
\(702\) −17.9899 + 211.580i −0.0256267 + 0.301396i
\(703\) −42.4853 −0.0604342
\(704\) 309.697 + 478.084i 0.439910 + 0.679096i
\(705\) −171.552 + 1049.55i −0.243336 + 1.48873i
\(706\) −1245.43 153.160i −1.76407 0.216940i
\(707\) 510.361 136.751i 0.721868 0.193424i
\(708\) −669.246 288.289i −0.945263 0.407188i
\(709\) 19.8003 73.8959i 0.0279271 0.104226i −0.950555 0.310555i \(-0.899485\pi\)
0.978483 + 0.206329i \(0.0661518\pi\)
\(710\) 164.452 406.809i 0.231622 0.572971i
\(711\) 175.061 35.4063i 0.246218 0.0497980i
\(712\) −311.555 + 810.247i −0.437577 + 1.13799i
\(713\) −167.477 290.078i −0.234890 0.406841i
\(714\) −937.256 + 513.262i −1.31268 + 0.718855i
\(715\) 326.010 87.3542i 0.455958 0.122174i
\(716\) 250.529 451.562i 0.349901 0.630673i
\(717\) 124.873 + 1247.33i 0.174160 + 1.73965i
\(718\) −988.826 745.428i −1.37719 1.03820i
\(719\) 357.779i 0.497606i −0.968554 0.248803i \(-0.919963\pi\)
0.968554 0.248803i \(-0.0800372\pi\)
\(720\) −1221.64 + 660.273i −1.69672 + 0.917045i
\(721\) −917.680 −1.27279
\(722\) 429.586 569.854i 0.594994 0.789272i
\(723\) 50.1404 111.136i 0.0693505 0.153716i
\(724\) −59.9484 + 108.053i −0.0828017 + 0.149245i
\(725\) −574.854 2145.39i −0.792902 2.95915i
\(726\) 130.217 214.221i 0.179362 0.295070i
\(727\) 973.372 561.977i 1.33889 0.773008i 0.352246 0.935907i \(-0.385418\pi\)
0.986643 + 0.162899i \(0.0520846\pi\)
\(728\) −250.697 + 111.446i −0.344364 + 0.153086i
\(729\) 602.213 410.829i 0.826081 0.563552i
\(730\) 1396.46 + 564.514i 1.91295 + 0.773307i
\(731\) 755.230 + 202.363i 1.03315 + 0.276831i
\(732\) 188.399 140.404i 0.257376 0.191809i
\(733\) −15.6674 58.4715i −0.0213743 0.0797702i 0.954415 0.298483i \(-0.0964807\pi\)
−0.975789 + 0.218713i \(0.929814\pi\)
\(734\) −40.6605 + 330.634i −0.0553958 + 0.450455i
\(735\) 276.923 + 732.200i 0.376766 + 0.996191i
\(736\) 256.324 365.330i 0.348267 0.496373i
\(737\) 319.383i 0.433355i
\(738\) −83.2852 1076.72i −0.112853 1.45898i
\(739\) −983.126 + 983.126i −1.33035 + 1.33035i −0.425288 + 0.905058i \(0.639827\pi\)
−0.905058 + 0.425288i \(0.860173\pi\)
\(740\) −777.561 194.182i −1.05076 0.262407i
\(741\) 2.40296 + 24.0026i 0.00324286 + 0.0323922i
\(742\) 814.436 636.058i 1.09762 0.857221i
\(743\) −304.062 + 526.651i −0.409236 + 0.708817i −0.994804 0.101806i \(-0.967538\pi\)
0.585569 + 0.810623i \(0.300871\pi\)
\(744\) −152.252 + 555.943i −0.204640 + 0.747236i
\(745\) −774.275 + 447.028i −1.03930 + 0.600038i
\(746\) 545.694 + 220.595i 0.731493 + 0.295704i
\(747\) −592.032 392.840i −0.792546 0.525890i
\(748\) 726.932 12.4124i 0.971834 0.0165941i
\(749\) 291.709 1088.67i 0.389464 1.45350i
\(750\) −1798.38 + 1718.94i −2.39785 + 2.29192i
\(751\) −36.5757 + 63.3510i −0.0487027 + 0.0843555i −0.889349 0.457229i \(-0.848842\pi\)
0.840646 + 0.541584i \(0.182175\pi\)
\(752\) −276.520 + 519.106i −0.367712 + 0.690301i
\(753\) 1295.76 + 211.795i 1.72080 + 0.281269i
\(754\) −205.136 154.642i −0.272063 0.205095i
\(755\) −347.644 347.644i −0.460456 0.460456i
\(756\) 840.188 + 425.715i 1.11136 + 0.563115i
\(757\) 863.777 + 863.777i 1.14105 + 1.14105i 0.988258 + 0.152794i \(0.0488272\pi\)
0.152794 + 0.988258i \(0.451173\pi\)
\(758\) 49.7015 + 354.133i 0.0655693 + 0.467193i
\(759\) 367.509 + 60.0701i 0.484201 + 0.0791438i
\(760\) −122.654 + 99.2078i −0.161387 + 0.130537i
\(761\) −544.208 + 942.596i −0.715122 + 1.23863i 0.247790 + 0.968814i \(0.420296\pi\)
−0.962912 + 0.269815i \(0.913038\pi\)
\(762\) −10.1258 + 448.301i −0.0132884 + 0.588322i
\(763\) 283.975 1059.81i 0.372182 1.38900i
\(764\) 634.007 + 612.719i 0.829851 + 0.801988i
\(765\) −110.242 + 1768.96i −0.144107 + 2.31237i
\(766\) −569.076 1341.37i −0.742919 1.75113i
\(767\) −206.796 + 119.394i −0.269616 + 0.155663i
\(768\) −757.178 + 128.474i −0.985909 + 0.167283i
\(769\) −618.315 + 1070.95i −0.804050 + 1.39266i 0.112880 + 0.993609i \(0.463993\pi\)
−0.916930 + 0.399048i \(0.869341\pi\)
\(770\) 182.731 1485.89i 0.237314 1.92973i
\(771\) −121.711 1215.74i −0.157861 1.57684i
\(772\) −195.866 48.9139i −0.253712 0.0633600i
\(773\) 507.475 507.475i 0.656501 0.656501i −0.298049 0.954550i \(-0.596336\pi\)
0.954550