Properties

Label 570.2.bf.a.269.31
Level $570$
Weight $2$
Character 570.269
Analytic conductor $4.551$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bf (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(40\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 269.31
Character \(\chi\) \(=\) 570.269
Dual form 570.2.bf.a.89.31

$q$-expansion

\(f(q)\) \(=\) \(q+(0.642788 - 0.766044i) q^{2} +(0.170539 + 1.72363i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(-2.23454 - 0.0827774i) q^{5} +(1.43000 + 0.977291i) q^{6} +(-1.14096 + 0.658735i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(-2.94183 + 0.587894i) q^{9} +O(q^{10})\) \(q+(0.642788 - 0.766044i) q^{2} +(0.170539 + 1.72363i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(-2.23454 - 0.0827774i) q^{5} +(1.43000 + 0.977291i) q^{6} +(-1.14096 + 0.658735i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(-2.94183 + 0.587894i) q^{9} +(-1.49974 + 1.65855i) q^{10} +(-2.83265 - 1.63543i) q^{11} +(1.66784 - 0.467254i) q^{12} +(0.592390 + 0.215612i) q^{13} +(-0.228776 + 1.29746i) q^{14} +(-0.238397 - 3.86564i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-3.12210 - 2.61976i) q^{17} +(-1.44062 + 2.63147i) q^{18} +(-4.29744 + 0.729393i) q^{19} +(0.306503 + 2.21496i) q^{20} +(-1.33000 - 1.85426i) q^{21} +(-3.07360 + 1.11870i) q^{22} +(-0.00940327 - 0.0533286i) q^{23} +(0.714126 - 1.57798i) q^{24} +(4.98630 + 0.369938i) q^{25} +(0.545950 - 0.315204i) q^{26} +(-1.51501 - 4.97039i) q^{27} +(0.846854 + 1.00924i) q^{28} +(-6.16648 + 5.17430i) q^{29} +(-3.11449 - 2.30216i) q^{30} +(1.01542 - 0.586251i) q^{31} +(-0.342020 + 0.939693i) q^{32} +(2.33581 - 5.16136i) q^{33} +(-4.01370 + 0.707724i) q^{34} +(2.60405 - 1.37752i) q^{35} +(1.08981 + 2.79505i) q^{36} +3.17220 q^{37} +(-2.20359 + 3.76087i) q^{38} +(-0.270611 + 1.05783i) q^{39} +(1.89378 + 1.18895i) q^{40} +(-4.99046 + 1.81638i) q^{41} +(-2.27535 - 0.173060i) q^{42} +(5.75075 + 1.01401i) q^{43} +(-1.11870 + 3.07360i) q^{44} +(6.62229 - 1.07015i) q^{45} +(-0.0468964 - 0.0270756i) q^{46} +(2.96369 - 2.48683i) q^{47} +(-0.749772 - 1.56136i) q^{48} +(-2.63214 + 4.55899i) q^{49} +(3.48852 - 3.58193i) q^{50} +(3.98306 - 5.82814i) q^{51} +(0.109469 - 0.620831i) q^{52} +(-5.06479 + 0.893059i) q^{53} +(-4.78137 - 2.03434i) q^{54} +(6.19428 + 3.88891i) q^{55} +1.31747 q^{56} +(-1.99009 - 7.28283i) q^{57} +8.04977i q^{58} +(-4.27319 - 3.58563i) q^{59} +(-3.76551 + 0.906037i) q^{60} +(0.166865 + 0.946339i) q^{61} +(0.203603 - 1.15469i) q^{62} +(2.96926 - 2.60865i) q^{63} +(0.500000 + 0.866025i) q^{64} +(-1.30587 - 0.530830i) q^{65} +(-2.45240 - 5.10699i) q^{66} +(-1.52596 + 1.28043i) q^{67} +(-2.03781 + 3.52959i) q^{68} +(0.0903154 - 0.0253024i) q^{69} +(0.618609 - 2.88027i) q^{70} +(0.158531 - 0.899077i) q^{71} +(2.84165 + 0.961786i) q^{72} +(3.00215 + 8.24833i) q^{73} +(2.03905 - 2.43005i) q^{74} +(0.212720 + 8.65764i) q^{75} +(1.46455 + 4.10549i) q^{76} +4.30926 q^{77} +(0.636403 + 0.887263i) q^{78} +(-4.62822 - 12.7159i) q^{79} +(2.12809 - 0.686471i) q^{80} +(8.30876 - 3.45897i) q^{81} +(-1.81638 + 4.99046i) q^{82} +(3.82053 + 6.61736i) q^{83} +(-1.59514 + 1.63178i) q^{84} +(6.75959 + 6.11238i) q^{85} +(4.47329 - 3.75354i) q^{86} +(-9.97022 - 9.74635i) q^{87} +(1.63543 + 2.83265i) q^{88} +(13.5101 + 4.91727i) q^{89} +(3.43694 - 5.76085i) q^{90} +(-0.817927 + 0.144223i) q^{91} +(-0.0508856 + 0.0185208i) q^{92} +(1.18365 + 1.65023i) q^{93} -3.86882i q^{94} +(9.66316 - 1.27412i) q^{95} +(-1.67801 - 0.429264i) q^{96} +(11.3663 + 9.53743i) q^{97} +(1.80049 + 4.94680i) q^{98} +(9.29464 + 3.14587i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + O(q^{10}) \) \( 240q - 30q^{15} + 48q^{19} + 12q^{25} - 48q^{39} + 36q^{45} - 72q^{46} + 216q^{49} - 180q^{51} + 36q^{54} + 60q^{55} + 6q^{60} - 72q^{61} + 120q^{64} - 156q^{66} + 48q^{79} - 120q^{81} - 108q^{84} - 48q^{85} - 36q^{90} - 24q^{91} - 216q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{13}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.642788 0.766044i 0.454519 0.541675i
\(3\) 0.170539 + 1.72363i 0.0984607 + 0.995141i
\(4\) −0.173648 0.984808i −0.0868241 0.492404i
\(5\) −2.23454 0.0827774i −0.999315 0.0370192i
\(6\) 1.43000 + 0.977291i 0.583795 + 0.398977i
\(7\) −1.14096 + 0.658735i −0.431244 + 0.248979i −0.699876 0.714264i \(-0.746762\pi\)
0.268633 + 0.963243i \(0.413428\pi\)
\(8\) −0.866025 0.500000i −0.306186 0.176777i
\(9\) −2.94183 + 0.587894i −0.980611 + 0.195965i
\(10\) −1.49974 + 1.65855i −0.474260 + 0.524478i
\(11\) −2.83265 1.63543i −0.854076 0.493101i 0.00794814 0.999968i \(-0.497470\pi\)
−0.862024 + 0.506867i \(0.830803\pi\)
\(12\) 1.66784 0.467254i 0.481462 0.134885i
\(13\) 0.592390 + 0.215612i 0.164299 + 0.0598001i 0.422860 0.906195i \(-0.361026\pi\)
−0.258561 + 0.965995i \(0.583248\pi\)
\(14\) −0.228776 + 1.29746i −0.0611431 + 0.346760i
\(15\) −0.238397 3.86564i −0.0615539 0.998104i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) −3.12210 2.61976i −0.757221 0.635384i 0.180181 0.983634i \(-0.442332\pi\)
−0.937402 + 0.348249i \(0.886776\pi\)
\(18\) −1.44062 + 2.63147i −0.339558 + 0.620242i
\(19\) −4.29744 + 0.729393i −0.985900 + 0.167334i
\(20\) 0.306503 + 2.21496i 0.0685362 + 0.495281i
\(21\) −1.33000 1.85426i −0.290229 0.404634i
\(22\) −3.07360 + 1.11870i −0.655295 + 0.238508i
\(23\) −0.00940327 0.0533286i −0.00196072 0.0111198i 0.983812 0.179205i \(-0.0573526\pi\)
−0.985772 + 0.168086i \(0.946242\pi\)
\(24\) 0.714126 1.57798i 0.145770 0.322104i
\(25\) 4.98630 + 0.369938i 0.997259 + 0.0739876i
\(26\) 0.545950 0.315204i 0.107070 0.0618166i
\(27\) −1.51501 4.97039i −0.291564 0.956551i
\(28\) 0.846854 + 1.00924i 0.160040 + 0.190729i
\(29\) −6.16648 + 5.17430i −1.14509 + 0.960842i −0.999593 0.0285166i \(-0.990922\pi\)
−0.145494 + 0.989359i \(0.546477\pi\)
\(30\) −3.11449 2.30216i −0.568626 0.420315i
\(31\) 1.01542 0.586251i 0.182374 0.105294i −0.406034 0.913858i \(-0.633088\pi\)
0.588408 + 0.808564i \(0.299755\pi\)
\(32\) −0.342020 + 0.939693i −0.0604612 + 0.166116i
\(33\) 2.33581 5.16136i 0.406612 0.898477i
\(34\) −4.01370 + 0.707724i −0.688344 + 0.121374i
\(35\) 2.60405 1.37752i 0.440165 0.232844i
\(36\) 1.08981 + 2.79505i 0.181634 + 0.465842i
\(37\) 3.17220 0.521506 0.260753 0.965405i \(-0.416029\pi\)
0.260753 + 0.965405i \(0.416029\pi\)
\(38\) −2.20359 + 3.76087i −0.357470 + 0.610094i
\(39\) −0.270611 + 1.05783i −0.0433325 + 0.169389i
\(40\) 1.89378 + 1.18895i 0.299432 + 0.187990i
\(41\) −4.99046 + 1.81638i −0.779380 + 0.283671i −0.700914 0.713246i \(-0.747224\pi\)
−0.0784657 + 0.996917i \(0.525002\pi\)
\(42\) −2.27535 0.173060i −0.351095 0.0267038i
\(43\) 5.75075 + 1.01401i 0.876982 + 0.154636i 0.593976 0.804483i \(-0.297557\pi\)
0.283006 + 0.959118i \(0.408668\pi\)
\(44\) −1.11870 + 3.07360i −0.168650 + 0.463363i
\(45\) 6.62229 1.07015i 0.987193 0.159529i
\(46\) −0.0468964 0.0270756i −0.00691450 0.00399209i
\(47\) 2.96369 2.48683i 0.432299 0.362742i −0.400520 0.916288i \(-0.631170\pi\)
0.832818 + 0.553547i \(0.186726\pi\)
\(48\) −0.749772 1.56136i −0.108220 0.225363i
\(49\) −2.63214 + 4.55899i −0.376019 + 0.651285i
\(50\) 3.48852 3.58193i 0.493351 0.506562i
\(51\) 3.98306 5.82814i 0.557740 0.816102i
\(52\) 0.109469 0.620831i 0.0151807 0.0860938i
\(53\) −5.06479 + 0.893059i −0.695702 + 0.122671i −0.510306 0.859993i \(-0.670468\pi\)
−0.185396 + 0.982664i \(0.559357\pi\)
\(54\) −4.78137 2.03434i −0.650662 0.276838i
\(55\) 6.19428 + 3.88891i 0.835236 + 0.524380i
\(56\) 1.31747 0.176054
\(57\) −1.99009 7.28283i −0.263594 0.964634i
\(58\) 8.04977i 1.05699i
\(59\) −4.27319 3.58563i −0.556322 0.466810i 0.320753 0.947163i \(-0.396064\pi\)
−0.877075 + 0.480353i \(0.840509\pi\)
\(60\) −3.76551 + 0.906037i −0.486126 + 0.116969i
\(61\) 0.166865 + 0.946339i 0.0213649 + 0.121166i 0.993625 0.112736i \(-0.0359615\pi\)
−0.972260 + 0.233902i \(0.924850\pi\)
\(62\) 0.203603 1.15469i 0.0258576 0.146646i
\(63\) 2.96926 2.60865i 0.374091 0.328660i
\(64\) 0.500000 + 0.866025i 0.0625000 + 0.108253i
\(65\) −1.30587 0.530830i −0.161973 0.0658414i
\(66\) −2.45240 5.10699i −0.301870 0.628627i
\(67\) −1.52596 + 1.28043i −0.186426 + 0.156430i −0.731224 0.682137i \(-0.761051\pi\)
0.544798 + 0.838567i \(0.316606\pi\)
\(68\) −2.03781 + 3.52959i −0.247121 + 0.428025i
\(69\) 0.0903154 0.0253024i 0.0108727 0.00304605i
\(70\) 0.618609 2.88027i 0.0739379 0.344258i
\(71\) 0.158531 0.899077i 0.0188142 0.106701i −0.973954 0.226744i \(-0.927192\pi\)
0.992769 + 0.120043i \(0.0383032\pi\)
\(72\) 2.84165 + 0.961786i 0.334892 + 0.113348i
\(73\) 3.00215 + 8.24833i 0.351375 + 0.965394i 0.981929 + 0.189249i \(0.0606053\pi\)
−0.630554 + 0.776145i \(0.717172\pi\)
\(74\) 2.03905 2.43005i 0.237035 0.282487i
\(75\) 0.212720 + 8.65764i 0.0245628 + 0.999698i
\(76\) 1.46455 + 4.10549i 0.167996 + 0.470932i
\(77\) 4.30926 0.491086
\(78\) 0.636403 + 0.887263i 0.0720584 + 0.100463i
\(79\) −4.62822 12.7159i −0.520716 1.43065i −0.869726 0.493535i \(-0.835704\pi\)
0.349010 0.937119i \(-0.386518\pi\)
\(80\) 2.12809 0.686471i 0.237927 0.0767498i
\(81\) 8.30876 3.45897i 0.923196 0.384330i
\(82\) −1.81638 + 4.99046i −0.200586 + 0.551105i
\(83\) 3.82053 + 6.61736i 0.419358 + 0.726349i 0.995875 0.0907359i \(-0.0289219\pi\)
−0.576517 + 0.817085i \(0.695589\pi\)
\(84\) −1.59514 + 1.63178i −0.174044 + 0.178042i
\(85\) 6.75959 + 6.11238i 0.733181 + 0.662980i
\(86\) 4.47329 3.75354i 0.482368 0.404754i
\(87\) −9.97022 9.74635i −1.06892 1.04492i
\(88\) 1.63543 + 2.83265i 0.174338 + 0.301961i
\(89\) 13.5101 + 4.91727i 1.43207 + 0.521230i 0.937523 0.347923i \(-0.113113\pi\)
0.494543 + 0.869153i \(0.335335\pi\)
\(90\) 3.43694 5.76085i 0.362286 0.607247i
\(91\) −0.817927 + 0.144223i −0.0857420 + 0.0151186i
\(92\) −0.0508856 + 0.0185208i −0.00530519 + 0.00193093i
\(93\) 1.18365 + 1.65023i 0.122739 + 0.171121i
\(94\) 3.86882i 0.399039i
\(95\) 9.66316 1.27412i 0.991419 0.130722i
\(96\) −1.67801 0.429264i −0.171262 0.0438115i
\(97\) 11.3663 + 9.53743i 1.15407 + 0.968380i 0.999807 0.0196500i \(-0.00625521\pi\)
0.154263 + 0.988030i \(0.450700\pi\)
\(98\) 1.80049 + 4.94680i 0.181877 + 0.499702i
\(99\) 9.29464 + 3.14587i 0.934146 + 0.316172i
\(100\) −0.501543 4.97478i −0.0501543 0.497478i
\(101\) −2.22197 + 6.10481i −0.221094 + 0.607451i −0.999801 0.0199365i \(-0.993654\pi\)
0.778707 + 0.627388i \(0.215876\pi\)
\(102\) −1.90435 6.79746i −0.188559 0.673049i
\(103\) 2.04733 3.54608i 0.201729 0.349406i −0.747356 0.664423i \(-0.768677\pi\)
0.949086 + 0.315018i \(0.102010\pi\)
\(104\) −0.405219 0.482921i −0.0397350 0.0473543i
\(105\) 2.81844 + 4.25351i 0.275051 + 0.415100i
\(106\) −2.57146 + 4.45390i −0.249762 + 0.432601i
\(107\) −7.18638 + 4.14906i −0.694734 + 0.401105i −0.805383 0.592755i \(-0.798040\pi\)
0.110649 + 0.993860i \(0.464707\pi\)
\(108\) −4.63180 + 2.35509i −0.445695 + 0.226619i
\(109\) −13.8778 2.44702i −1.32925 0.234382i −0.536484 0.843911i \(-0.680248\pi\)
−0.792764 + 0.609528i \(0.791359\pi\)
\(110\) 6.96068 2.24535i 0.663675 0.214086i
\(111\) 0.540984 + 5.46771i 0.0513479 + 0.518972i
\(112\) 0.846854 1.00924i 0.0800202 0.0953643i
\(113\) 11.2911i 1.06218i −0.847316 0.531089i \(-0.821783\pi\)
0.847316 0.531089i \(-0.178217\pi\)
\(114\) −6.85817 3.15681i −0.642327 0.295663i
\(115\) 0.0165975 + 0.119943i 0.00154773 + 0.0111847i
\(116\) 6.16648 + 5.17430i 0.572544 + 0.480421i
\(117\) −1.86947 0.286033i −0.172833 0.0264438i
\(118\) −5.49351 + 0.968654i −0.505719 + 0.0891718i
\(119\) 5.28793 + 0.932405i 0.484744 + 0.0854734i
\(120\) −1.72636 + 3.46694i −0.157595 + 0.316487i
\(121\) −0.150733 0.261077i −0.0137030 0.0237342i
\(122\) 0.832197 + 0.480469i 0.0753435 + 0.0434996i
\(123\) −3.98184 8.29197i −0.359031 0.747662i
\(124\) −0.753669 0.898188i −0.0676815 0.0806597i
\(125\) −11.1114 1.23939i −0.993837 0.110855i
\(126\) −0.0897439 3.95139i −0.00799502 0.352018i
\(127\) −17.3913 6.32990i −1.54322 0.561688i −0.576409 0.817162i \(-0.695546\pi\)
−0.966816 + 0.255474i \(0.917769\pi\)
\(128\) 0.984808 + 0.173648i 0.0870455 + 0.0153485i
\(129\) −0.767061 + 10.0851i −0.0675359 + 0.887946i
\(130\) −1.24604 + 0.659143i −0.109285 + 0.0578106i
\(131\) 7.48641 8.92196i 0.654091 0.779515i −0.332434 0.943126i \(-0.607870\pi\)
0.986525 + 0.163612i \(0.0523144\pi\)
\(132\) −5.48855 1.40406i −0.477717 0.122208i
\(133\) 4.42274 3.66309i 0.383500 0.317630i
\(134\) 1.99200i 0.172082i
\(135\) 2.97391 + 11.2319i 0.255953 + 0.966689i
\(136\) 1.39394 + 3.82983i 0.119530 + 0.328405i
\(137\) 2.91356 + 16.5236i 0.248923 + 1.41171i 0.811204 + 0.584764i \(0.198813\pi\)
−0.562281 + 0.826946i \(0.690076\pi\)
\(138\) 0.0386709 0.0854497i 0.00329188 0.00727396i
\(139\) 4.15155 + 1.51104i 0.352130 + 0.128165i 0.512028 0.858969i \(-0.328894\pi\)
−0.159898 + 0.987134i \(0.551117\pi\)
\(140\) −1.80878 2.32529i −0.152870 0.196522i
\(141\) 4.79181 + 4.68422i 0.403543 + 0.394482i
\(142\) −0.586831 0.699357i −0.0492457 0.0586888i
\(143\) −1.32541 1.57957i −0.110837 0.132090i
\(144\) 2.56335 1.55861i 0.213612 0.129884i
\(145\) 14.2075 11.0517i 1.17987 0.917794i
\(146\) 8.24833 + 3.00215i 0.682637 + 0.248459i
\(147\) −8.30692 3.75935i −0.685143 0.310066i
\(148\) −0.550847 3.12401i −0.0452793 0.256792i
\(149\) −5.37465 14.7667i −0.440309 1.20974i −0.939290 0.343125i \(-0.888515\pi\)
0.498981 0.866613i \(-0.333708\pi\)
\(150\) 6.76887 + 5.40207i 0.552676 + 0.441077i
\(151\) 7.40959i 0.602984i 0.953469 + 0.301492i \(0.0974846\pi\)
−0.953469 + 0.301492i \(0.902515\pi\)
\(152\) 4.08639 + 1.51705i 0.331450 + 0.123049i
\(153\) 10.7248 + 5.87142i 0.867052 + 0.474676i
\(154\) 2.76994 3.30109i 0.223208 0.266009i
\(155\) −2.31751 + 1.22594i −0.186147 + 0.0984702i
\(156\) 1.08875 + 0.0828092i 0.0871702 + 0.00663004i
\(157\) 15.9632 + 2.81474i 1.27400 + 0.224641i 0.769431 0.638730i \(-0.220540\pi\)
0.504570 + 0.863371i \(0.331651\pi\)
\(158\) −12.7159 4.62822i −1.01163 0.368201i
\(159\) −2.40305 8.57754i −0.190574 0.680244i
\(160\) 0.842041 2.07146i 0.0665692 0.163764i
\(161\) 0.0458582 + 0.0546517i 0.00361413 + 0.00430716i
\(162\) 2.69104 8.58826i 0.211428 0.674758i
\(163\) −20.4834 11.8261i −1.60438 0.926289i −0.990597 0.136815i \(-0.956314\pi\)
−0.613783 0.789475i \(-0.710353\pi\)
\(164\) 2.65537 + 4.59924i 0.207350 + 0.359140i
\(165\) −5.64669 + 11.3399i −0.439594 + 0.882809i
\(166\) 7.52498 + 1.32686i 0.584052 + 0.102984i
\(167\) −11.4396 + 2.01710i −0.885220 + 0.156088i −0.597732 0.801696i \(-0.703931\pi\)
−0.287488 + 0.957784i \(0.592820\pi\)
\(168\) 0.224680 + 2.27084i 0.0173344 + 0.175199i
\(169\) −9.65414 8.10079i −0.742626 0.623137i
\(170\) 9.02734 1.24919i 0.692365 0.0958085i
\(171\) 12.2135 4.67219i 0.933993 0.357291i
\(172\) 5.83947i 0.445255i
\(173\) 16.6982 19.9001i 1.26954 1.51298i 0.514146 0.857703i \(-0.328109\pi\)
0.755392 0.655273i \(-0.227447\pi\)
\(174\) −13.8749 + 1.37280i −1.05185 + 0.104072i
\(175\) −5.93287 + 2.86256i −0.448483 + 0.216390i
\(176\) 3.22117 + 0.567979i 0.242805 + 0.0428130i
\(177\) 5.45158 7.97691i 0.409766 0.599581i
\(178\) 12.4510 7.18857i 0.933239 0.538806i
\(179\) −2.64887 + 4.58797i −0.197986 + 0.342921i −0.947875 0.318642i \(-0.896773\pi\)
0.749890 + 0.661563i \(0.230107\pi\)
\(180\) −2.20384 6.33586i −0.164265 0.472247i
\(181\) 2.09597 + 2.49788i 0.155793 + 0.185666i 0.838295 0.545217i \(-0.183553\pi\)
−0.682502 + 0.730883i \(0.739108\pi\)
\(182\) −0.415272 + 0.719273i −0.0307820 + 0.0533161i
\(183\) −1.60269 + 0.449002i −0.118474 + 0.0331912i
\(184\) −0.0185208 + 0.0508856i −0.00136537 + 0.00375133i
\(185\) −7.08839 0.262586i −0.521149 0.0193057i
\(186\) 2.02498 + 0.154017i 0.148479 + 0.0112931i
\(187\) 4.55940 + 12.5268i 0.333416 + 0.916053i
\(188\) −2.96369 2.48683i −0.216149 0.181371i
\(189\) 5.00274 + 4.67304i 0.363896 + 0.339913i
\(190\) 5.23532 8.22140i 0.379810 0.596443i
\(191\) 23.4487i 1.69669i −0.529443 0.848346i \(-0.677599\pi\)
0.529443 0.848346i \(-0.322401\pi\)
\(192\) −1.40744 + 1.00951i −0.101573 + 0.0728550i
\(193\) −16.4500 + 5.98730i −1.18409 + 0.430975i −0.857647 0.514240i \(-0.828074\pi\)
−0.326448 + 0.945215i \(0.605852\pi\)
\(194\) 14.6122 2.57652i 1.04909 0.184984i
\(195\) 0.692256 2.34137i 0.0495735 0.167669i
\(196\) 4.94680 + 1.80049i 0.353343 + 0.128606i
\(197\) 3.37708 + 5.84927i 0.240607 + 0.416743i 0.960887 0.276940i \(-0.0893202\pi\)
−0.720280 + 0.693683i \(0.755987\pi\)
\(198\) 8.38435 5.09798i 0.595850 0.362298i
\(199\) −2.03109 + 1.70429i −0.143980 + 0.120814i −0.711933 0.702247i \(-0.752180\pi\)
0.567953 + 0.823061i \(0.307736\pi\)
\(200\) −4.13329 2.81352i −0.292268 0.198946i
\(201\) −2.46723 2.41183i −0.174025 0.170118i
\(202\) 3.24830 + 5.62622i 0.228550 + 0.395860i
\(203\) 3.62724 9.96576i 0.254582 0.699459i
\(204\) −6.43125 2.91051i −0.450277 0.203776i
\(205\) 11.3017 3.64567i 0.789347 0.254625i
\(206\) −1.40046 3.84772i −0.0975744 0.268084i
\(207\) 0.0590144 + 0.151356i 0.00410178 + 0.0105200i
\(208\) −0.630409 −0.0437110
\(209\) 13.3660 + 4.96205i 0.924546 + 0.343232i
\(210\) 5.07003 + 0.575057i 0.349866 + 0.0396827i
\(211\) −9.74000 + 11.6077i −0.670529 + 0.799105i −0.988856 0.148876i \(-0.952435\pi\)
0.318327 + 0.947981i \(0.396879\pi\)
\(212\) 1.75898 + 4.83277i 0.120807 + 0.331916i
\(213\) 1.57672 + 0.119923i 0.108035 + 0.00821697i
\(214\) −1.44095 + 8.17205i −0.0985015 + 0.558630i
\(215\) −12.7663 2.74188i −0.870656 0.186995i
\(216\) −1.17316 + 5.06199i −0.0798231 + 0.344425i
\(217\) −0.772368 + 1.33778i −0.0524318 + 0.0908145i
\(218\) −10.7950 + 9.05806i −0.731128 + 0.613489i
\(219\) −13.7051 + 6.58127i −0.926107 + 0.444721i
\(220\) 2.75420 6.77547i 0.185688 0.456802i
\(221\) −1.28465 2.22508i −0.0864150 0.149675i
\(222\) 4.53625 + 3.10016i 0.304453 + 0.208069i
\(223\) 1.19464 6.77514i 0.0799990 0.453697i −0.918325 0.395827i \(-0.870458\pi\)
0.998324 0.0578700i \(-0.0184309\pi\)
\(224\) −0.228776 1.29746i −0.0152858 0.0866899i
\(225\) −14.8863 + 1.84312i −0.992422 + 0.122874i
\(226\) −8.64949 7.25778i −0.575355 0.482780i
\(227\) 8.29036i 0.550250i 0.961408 + 0.275125i \(0.0887193\pi\)
−0.961408 + 0.275125i \(0.911281\pi\)
\(228\) −6.82661 + 3.22450i −0.452103 + 0.213548i
\(229\) −22.7873 −1.50583 −0.752913 0.658120i \(-0.771352\pi\)
−0.752913 + 0.658120i \(0.771352\pi\)
\(230\) 0.102550 + 0.0643834i 0.00676197 + 0.00424532i
\(231\) 0.734897 + 7.42760i 0.0483527 + 0.488700i
\(232\) 7.92748 1.39783i 0.520465 0.0917719i
\(233\) 2.79926 15.8754i 0.183386 1.04003i −0.744627 0.667481i \(-0.767372\pi\)
0.928012 0.372550i \(-0.121517\pi\)
\(234\) −1.42079 + 1.24824i −0.0928797 + 0.0815999i
\(235\) −6.82832 + 5.31158i −0.445431 + 0.346490i
\(236\) −2.78913 + 4.83091i −0.181557 + 0.314466i
\(237\) 21.1283 10.1459i 1.37243 0.659049i
\(238\) 4.11328 3.45145i 0.266624 0.223724i
\(239\) −16.3377 9.43255i −1.05680 0.610141i −0.132251 0.991216i \(-0.542221\pi\)
−0.924544 + 0.381075i \(0.875554\pi\)
\(240\) 1.54615 + 3.55098i 0.0998033 + 0.229215i
\(241\) 1.23767 3.40046i 0.0797251 0.219043i −0.893426 0.449211i \(-0.851705\pi\)
0.973151 + 0.230168i \(0.0739275\pi\)
\(242\) −0.296885 0.0523489i −0.0190845 0.00336511i
\(243\) 7.37897 + 13.7314i 0.473361 + 0.880869i
\(244\) 0.902986 0.328660i 0.0578078 0.0210403i
\(245\) 6.25898 9.96935i 0.399872 0.636918i
\(246\) −8.91150 2.27971i −0.568177 0.145349i
\(247\) −2.70303 0.494496i −0.171990 0.0314640i
\(248\) −1.17250 −0.0744539
\(249\) −10.7544 + 7.71372i −0.681529 + 0.488837i
\(250\) −8.09172 + 7.71518i −0.511765 + 0.487951i
\(251\) −13.9249 + 2.45534i −0.878933 + 0.154980i −0.594866 0.803825i \(-0.702795\pi\)
−0.284067 + 0.958804i \(0.591684\pi\)
\(252\) −3.08463 2.47116i −0.194313 0.155668i
\(253\) −0.0605791 + 0.166440i −0.00380857 + 0.0104640i
\(254\) −16.0279 + 9.25370i −1.00568 + 0.580628i
\(255\) −9.38273 + 12.6935i −0.587569 + 0.794896i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) 19.9040 + 23.7206i 1.24157 + 1.47965i 0.819489 + 0.573095i \(0.194258\pi\)
0.422086 + 0.906556i \(0.361298\pi\)
\(258\) 7.23260 + 7.07020i 0.450282 + 0.440171i
\(259\) −3.61936 + 2.08964i −0.224896 + 0.129844i
\(260\) −0.296004 + 1.37821i −0.0183574 + 0.0854728i
\(261\) 15.0988 18.8471i 0.934594 1.16661i
\(262\) −2.02244 11.4698i −0.124947 0.708609i
\(263\) 16.5949 6.04005i 1.02329 0.372446i 0.224765 0.974413i \(-0.427838\pi\)
0.798521 + 0.601967i \(0.205616\pi\)
\(264\) −4.60355 + 3.30196i −0.283329 + 0.203222i
\(265\) 11.3914 1.57632i 0.699767 0.0968327i
\(266\) 0.0367974 5.74260i 0.00225619 0.352102i
\(267\) −6.17158 + 24.1250i −0.377695 + 1.47643i
\(268\) 1.52596 + 1.28043i 0.0932128 + 0.0782148i
\(269\) −29.3992 + 10.7004i −1.79250 + 0.652417i −0.793461 + 0.608621i \(0.791723\pi\)
−0.999040 + 0.0437959i \(0.986055\pi\)
\(270\) 10.5157 + 4.94159i 0.639967 + 0.300735i
\(271\) 0.724087 4.10650i 0.0439851 0.249452i −0.954885 0.296976i \(-0.904022\pi\)
0.998870 + 0.0475238i \(0.0151330\pi\)
\(272\) 3.82983 + 1.39394i 0.232217 + 0.0845202i
\(273\) −0.388075 1.38521i −0.0234874 0.0838368i
\(274\) 14.5306 + 8.38927i 0.877828 + 0.506814i
\(275\) −13.5194 9.20265i −0.815252 0.554940i
\(276\) −0.0406011 0.0845496i −0.00244390 0.00508929i
\(277\) −9.19741 5.31013i −0.552619 0.319055i 0.197559 0.980291i \(-0.436699\pi\)
−0.750178 + 0.661236i \(0.770032\pi\)
\(278\) 3.82609 2.20900i 0.229474 0.132487i
\(279\) −2.64253 + 2.32161i −0.158204 + 0.138991i
\(280\) −2.94394 0.109057i −0.175934 0.00651739i
\(281\) 4.86020 + 27.5636i 0.289935 + 1.64430i 0.687104 + 0.726559i \(0.258882\pi\)
−0.397169 + 0.917746i \(0.630007\pi\)
\(282\) 6.66844 0.659785i 0.397100 0.0392896i
\(283\) −12.2842 + 14.6397i −0.730220 + 0.870242i −0.995581 0.0939069i \(-0.970064\pi\)
0.265361 + 0.964149i \(0.414509\pi\)
\(284\) −0.912946 −0.0541734
\(285\) 3.84407 + 16.4385i 0.227703 + 0.973731i
\(286\) −2.06198 −0.121927
\(287\) 4.49742 5.35982i 0.265474 0.316380i
\(288\) 0.453727 2.96549i 0.0267361 0.174743i
\(289\) −0.0676089 0.383429i −0.00397699 0.0225547i
\(290\) 0.666339 17.9875i 0.0391288 1.05626i
\(291\) −14.5007 + 21.2178i −0.850044 + 1.24381i
\(292\) 7.60170 4.38885i 0.444856 0.256838i
\(293\) −10.7733 6.21996i −0.629382 0.363374i 0.151131 0.988514i \(-0.451708\pi\)
−0.780513 + 0.625140i \(0.785042\pi\)
\(294\) −8.21942 + 3.94700i −0.479366 + 0.230194i
\(295\) 9.25179 + 8.36595i 0.538660 + 0.487084i
\(296\) −2.74721 1.58610i −0.159678 0.0921902i
\(297\) −3.83723 + 16.5571i −0.222659 + 0.960738i
\(298\) −14.7667 5.37465i −0.855414 0.311345i
\(299\) 0.00592790 0.0336188i 0.000342819 0.00194423i
\(300\) 8.48917 1.71287i 0.490123 0.0988927i
\(301\) −7.22936 + 2.63127i −0.416694 + 0.151664i
\(302\) 5.67607 + 4.76279i 0.326621 + 0.274068i
\(303\) −10.9014 2.78875i −0.626269 0.160210i
\(304\) 3.78880 2.15522i 0.217303 0.123610i
\(305\) −0.294531 2.12844i −0.0168648 0.121874i
\(306\) 11.3916 4.44163i 0.651213 0.253911i
\(307\) −14.8749 + 5.41403i −0.848956 + 0.308995i −0.729615 0.683858i \(-0.760301\pi\)
−0.119342 + 0.992853i \(0.538078\pi\)
\(308\) −0.748296 4.24380i −0.0426381 0.241813i
\(309\) 6.46130 + 2.92411i 0.367570 + 0.166347i
\(310\) −0.550539 + 2.56334i −0.0312685 + 0.145588i
\(311\) −20.2113 + 11.6690i −1.14608 + 0.661687i −0.947928 0.318485i \(-0.896826\pi\)
−0.198148 + 0.980172i \(0.563493\pi\)
\(312\) 0.763274 0.780806i 0.0432119 0.0442044i
\(313\) 19.2354 + 22.9239i 1.08725 + 1.29573i 0.952394 + 0.304870i \(0.0986129\pi\)
0.134856 + 0.990865i \(0.456943\pi\)
\(314\) 12.4171 10.4192i 0.700740 0.587991i
\(315\) −6.85085 + 5.58334i −0.386001 + 0.314586i
\(316\) −11.7191 + 6.76601i −0.659249 + 0.380618i
\(317\) −5.66010 + 15.5510i −0.317903 + 0.873431i 0.673095 + 0.739556i \(0.264964\pi\)
−0.990998 + 0.133875i \(0.957258\pi\)
\(318\) −8.11543 3.67270i −0.455091 0.205955i
\(319\) 25.9297 4.57210i 1.45178 0.255989i
\(320\) −1.04558 1.97655i −0.0584497 0.110493i
\(321\) −8.37702 11.6791i −0.467560 0.651865i
\(322\) 0.0713427 0.00397578
\(323\) 15.3279 + 8.98100i 0.852866 + 0.499716i
\(324\) −4.84922 7.58189i −0.269401 0.421216i
\(325\) 2.87407 + 1.29425i 0.159425 + 0.0717923i
\(326\) −22.2257 + 8.08951i −1.23097 + 0.448036i
\(327\) 1.85108 24.3375i 0.102365 1.34587i
\(328\) 5.23006 + 0.922201i 0.288782 + 0.0509200i
\(329\) −1.74330 + 4.78967i −0.0961111 + 0.264063i
\(330\) 5.05723 + 11.6148i 0.278391 + 0.639371i
\(331\) 0.513552 + 0.296500i 0.0282274 + 0.0162971i 0.514047 0.857762i \(-0.328146\pi\)
−0.485820 + 0.874059i \(0.661479\pi\)
\(332\) 5.85339 4.91158i 0.321247 0.269558i
\(333\) −9.33208 + 1.86492i −0.511395 + 0.102197i
\(334\) −5.80802 + 10.0598i −0.317801 + 0.550447i
\(335\) 3.51580 2.73486i 0.192089 0.149421i
\(336\) 1.88398 + 1.28755i 0.102780 + 0.0702417i
\(337\) 1.33738 7.58464i 0.0728516 0.413162i −0.926471 0.376366i \(-0.877174\pi\)
0.999323 0.0367962i \(-0.0117152\pi\)
\(338\) −12.4111 + 2.18842i −0.675076 + 0.119034i
\(339\) 19.4617 1.92557i 1.05702 0.104583i
\(340\) 4.84573 7.71830i 0.262796 0.418584i
\(341\) −3.83509 −0.207682
\(342\) 4.27161 12.3593i 0.230982 0.668317i
\(343\) 16.1578i 0.872440i
\(344\) −4.47329 3.75354i −0.241184 0.202377i
\(345\) −0.203907 + 0.0490631i −0.0109780 + 0.00264147i
\(346\) −4.51098 25.5831i −0.242512 1.37535i
\(347\) −6.36972 + 36.1245i −0.341945 + 1.93926i 0.00124829 + 0.999999i \(0.499603\pi\)
−0.343193 + 0.939265i \(0.611508\pi\)
\(348\) −7.86697 + 11.5112i −0.421714 + 0.617064i
\(349\) 8.87535 + 15.3725i 0.475086 + 0.822874i 0.999593 0.0285327i \(-0.00908348\pi\)
−0.524506 + 0.851406i \(0.675750\pi\)
\(350\) −1.62072 + 6.38486i −0.0866314 + 0.341285i
\(351\) 0.174199 3.27106i 0.00929807 0.174596i
\(352\) 2.50563 2.10247i 0.133550 0.112062i
\(353\) −4.23405 + 7.33360i −0.225356 + 0.390328i −0.956426 0.291974i \(-0.905688\pi\)
0.731070 + 0.682302i \(0.239021\pi\)
\(354\) −2.60646 9.30361i −0.138532 0.494481i
\(355\) −0.428667 + 1.99590i −0.0227513 + 0.105931i
\(356\) 2.49656 14.1587i 0.132318 0.750410i
\(357\) −0.705327 + 9.27347i −0.0373299 + 0.490804i
\(358\) 1.81193 + 4.97824i 0.0957636 + 0.263108i
\(359\) 0.861523 1.02672i 0.0454695 0.0541884i −0.742830 0.669480i \(-0.766517\pi\)
0.788300 + 0.615291i \(0.210962\pi\)
\(360\) −6.27015 2.38437i −0.330466 0.125667i
\(361\) 17.9360 6.26905i 0.943998 0.329950i
\(362\) 3.26076 0.171382
\(363\) 0.424295 0.304332i 0.0222697 0.0159733i
\(364\) 0.284063 + 0.780457i 0.0148890 + 0.0409071i
\(365\) −6.02563 18.6797i −0.315396 0.977740i
\(366\) −0.686231 + 1.51634i −0.0358699 + 0.0792605i
\(367\) 11.2419 30.8868i 0.586821 1.61228i −0.189457 0.981889i \(-0.560673\pi\)
0.776279 0.630390i \(-0.217105\pi\)
\(368\) 0.0270756 + 0.0468964i 0.00141142 + 0.00244464i
\(369\) 13.6133 8.27735i 0.708679 0.430902i
\(370\) −4.75748 + 5.26124i −0.247330 + 0.273519i
\(371\) 5.19045 4.35530i 0.269475 0.226116i
\(372\) 1.41962 1.45223i 0.0736038 0.0752944i
\(373\) −12.9116 22.3635i −0.668537 1.15794i −0.978313 0.207130i \(-0.933588\pi\)
0.309777 0.950809i \(-0.399746\pi\)
\(374\) 12.5268 + 4.55940i 0.647747 + 0.235761i
\(375\) 0.241327 19.3634i 0.0124621 0.999922i
\(376\) −3.81005 + 0.671814i −0.196488 + 0.0346462i
\(377\) −4.76861 + 1.73563i −0.245596 + 0.0893896i
\(378\) 6.79545 0.828552i 0.349520 0.0426161i
\(379\) 20.5880i 1.05754i −0.848766 0.528768i \(-0.822654\pi\)
0.848766 0.528768i \(-0.177346\pi\)
\(380\) −2.93276 9.29510i −0.150447 0.476829i
\(381\) 7.94455 31.0557i 0.407012 1.59103i
\(382\) −17.9628 15.0726i −0.919055 0.771179i
\(383\) −3.33320 9.15789i −0.170319 0.467946i 0.824939 0.565222i \(-0.191209\pi\)
−0.995257 + 0.0972755i \(0.968987\pi\)
\(384\) −0.131358 + 1.72706i −0.00670333 + 0.0881338i
\(385\) −9.62920 0.356710i −0.490750 0.0181796i
\(386\) −5.98730 + 16.4500i −0.304746 + 0.837282i
\(387\) −17.5139 + 0.397775i −0.890281 + 0.0202200i
\(388\) 7.41881 12.8498i 0.376633 0.652347i
\(389\) 0.902396 + 1.07543i 0.0457533 + 0.0545267i 0.788436 0.615117i \(-0.210891\pi\)
−0.742682 + 0.669644i \(0.766447\pi\)
\(390\) −1.34862 2.03530i −0.0682900 0.103061i
\(391\) −0.110350 + 0.191132i −0.00558064 + 0.00966595i
\(392\) 4.55899 2.63214i 0.230264 0.132943i
\(393\) 16.6549 + 11.3823i 0.840129 + 0.574161i
\(394\) 6.65155 + 1.17285i 0.335100 + 0.0590872i
\(395\) 9.28933 + 28.7973i 0.467397 + 1.44895i
\(396\) 1.48408 9.69971i 0.0745777 0.487429i
\(397\) −6.70500 + 7.99071i −0.336514 + 0.401042i −0.907592 0.419854i \(-0.862081\pi\)
0.571077 + 0.820896i \(0.306526\pi\)
\(398\) 2.65140i 0.132903i
\(399\) 7.06807 + 6.99849i 0.353846 + 0.350363i
\(400\) −4.81211 + 1.35779i −0.240606 + 0.0678893i
\(401\) −6.84360 5.74246i −0.341753 0.286765i 0.455715 0.890126i \(-0.349383\pi\)
−0.797468 + 0.603361i \(0.793828\pi\)
\(402\) −3.43348 + 0.339713i −0.171246 + 0.0169434i
\(403\) 0.727925 0.128353i 0.0362605 0.00639371i
\(404\) 6.39790 + 1.12812i 0.318308 + 0.0561262i
\(405\) −18.8525 + 7.04141i −0.936791 + 0.349891i
\(406\) −5.30267 9.18450i −0.263167 0.455819i
\(407\) −8.98573 5.18791i −0.445406 0.257155i
\(408\) −6.36350 + 3.05578i −0.315040 + 0.151284i
\(409\) −6.69145 7.97456i −0.330871 0.394316i 0.574803 0.818292i \(-0.305079\pi\)
−0.905674 + 0.423975i \(0.860634\pi\)
\(410\) 4.47186 11.0010i 0.220850 0.543301i
\(411\) −27.9838 + 7.83984i −1.38034 + 0.386711i
\(412\) −3.84772 1.40046i −0.189564 0.0689955i
\(413\) 7.23754 + 1.27617i 0.356136 + 0.0627964i
\(414\) 0.153879 + 0.0520819i 0.00756274 + 0.00255969i
\(415\) −7.98935 15.1030i −0.392182 0.741376i
\(416\) −0.405219 + 0.482921i −0.0198675 + 0.0236771i
\(417\) −1.89648 + 7.41345i −0.0928712 + 0.363038i
\(418\) 12.3927 7.04941i 0.606145 0.344798i
\(419\) 32.7258i 1.59876i −0.600825 0.799381i \(-0.705161\pi\)
0.600825 0.799381i \(-0.294839\pi\)
\(420\) 3.69947 3.51423i 0.180516 0.171477i
\(421\) 11.0652 + 30.4013i 0.539283 + 1.48167i 0.847730 + 0.530428i \(0.177969\pi\)
−0.308447 + 0.951242i \(0.599809\pi\)
\(422\) 2.63125 + 14.9225i 0.128087 + 0.726418i
\(423\) −7.25669 + 9.05818i −0.352832 + 0.440424i
\(424\) 4.83277 + 1.75898i 0.234700 + 0.0854238i
\(425\) −14.5986 14.2179i −0.708135 0.689668i
\(426\) 1.10536 1.13075i 0.0535548 0.0547850i
\(427\) −0.813774 0.969818i −0.0393813 0.0469328i
\(428\) 5.33393 + 6.35673i 0.257825 + 0.307264i
\(429\) 2.49656 2.55391i 0.120535 0.123304i
\(430\) −10.3064 + 8.01713i −0.497021 + 0.386620i
\(431\) 24.1273 + 8.78162i 1.16217 + 0.422996i 0.849873 0.526988i \(-0.176679\pi\)
0.312299 + 0.949984i \(0.398901\pi\)
\(432\) 3.12362 + 4.15247i 0.150285 + 0.199786i
\(433\) −5.21716 29.5880i −0.250721 1.42191i −0.806822 0.590794i \(-0.798814\pi\)
0.556101 0.831114i \(-0.312297\pi\)
\(434\) 0.528331 + 1.45158i 0.0253607 + 0.0696779i
\(435\) 21.4720 + 22.6039i 1.02951 + 1.08377i
\(436\) 14.0918i 0.674877i
\(437\) 0.0793075 + 0.222318i 0.00379379 + 0.0106349i
\(438\) −3.76794 + 14.7291i −0.180039 + 0.703783i
\(439\) 9.40233 11.2053i 0.448749 0.534798i −0.493485 0.869754i \(-0.664277\pi\)
0.942234 + 0.334957i \(0.108722\pi\)
\(440\) −3.41995 6.46503i −0.163040 0.308208i
\(441\) 5.06310 14.9592i 0.241100 0.712343i
\(442\) −2.53027 0.446155i −0.120353 0.0212214i
\(443\) −1.19514 0.434997i −0.0567830 0.0206673i 0.313472 0.949597i \(-0.398508\pi\)
−0.370256 + 0.928930i \(0.620730\pi\)
\(444\) 5.29071 1.48222i 0.251086 0.0703432i
\(445\) −29.7817 12.1061i −1.41179 0.573886i
\(446\) −4.42216 5.27012i −0.209395 0.249548i
\(447\) 24.5359 11.7822i 1.16051 0.557281i
\(448\) −1.14096 0.658735i −0.0539054 0.0311223i
\(449\) 9.75714 + 16.8999i 0.460468 + 0.797553i 0.998984 0.0450615i \(-0.0143484\pi\)
−0.538517 + 0.842615i \(0.681015\pi\)
\(450\) −8.15684 + 12.5883i −0.384517 + 0.593419i
\(451\) 17.1068 + 3.01639i 0.805528 + 0.142036i
\(452\) −11.1196 + 1.96068i −0.523020 + 0.0922226i
\(453\) −12.7714 + 1.26362i −0.600054 + 0.0593702i
\(454\) 6.35078 + 5.32894i 0.298057 + 0.250100i
\(455\) 1.83963 0.254565i 0.0862430 0.0119342i
\(456\) −1.91795 + 7.30216i −0.0898160 + 0.341955i
\(457\) 24.4506i 1.14375i −0.820340 0.571877i \(-0.806216\pi\)
0.820340 0.571877i \(-0.193784\pi\)
\(458\) −14.6474 + 17.4561i −0.684427 + 0.815668i
\(459\) −8.29118 + 19.4870i −0.386999 + 0.909576i
\(460\) 0.115239 0.0371733i 0.00537303 0.00173321i
\(461\) 28.5853 + 5.04036i 1.33135 + 0.234753i 0.793645 0.608381i \(-0.208181\pi\)
0.537704 + 0.843134i \(0.319292\pi\)
\(462\) 6.16225 + 4.21140i 0.286694 + 0.195932i
\(463\) 14.9402 8.62574i 0.694331 0.400872i −0.110901 0.993831i \(-0.535374\pi\)
0.805233 + 0.592959i \(0.202040\pi\)
\(464\) 4.02489 6.97131i 0.186851 0.323635i
\(465\) −2.50831 3.78547i −0.116320 0.175547i
\(466\) −10.3619 12.3489i −0.480007 0.572050i
\(467\) 6.75997 11.7086i 0.312814 0.541810i −0.666156 0.745812i \(-0.732062\pi\)
0.978970 + 0.204002i \(0.0653950\pi\)
\(468\) 0.0429424 + 1.89074i 0.00198501 + 0.0873994i
\(469\) 0.897598 2.46613i 0.0414472 0.113875i
\(470\) −0.320251 + 8.64502i −0.0147721 + 0.398765i
\(471\) −2.12924 + 27.9947i −0.0981101 + 1.28993i
\(472\) 1.90788 + 5.24185i 0.0878171 + 0.241276i
\(473\) −14.6315 12.2773i −0.672758 0.564511i
\(474\) 5.80880 22.7069i 0.266807 1.04296i
\(475\) −21.6981 + 2.04719i −0.995579 + 0.0939313i
\(476\) 5.36951i 0.246111i
\(477\) 14.3747 5.60479i 0.658174 0.256626i
\(478\) −17.7274 + 6.45225i −0.810832 + 0.295119i
\(479\) −6.76192 + 1.19231i −0.308960 + 0.0544780i −0.325979 0.945377i \(-0.605694\pi\)
0.0170184 + 0.999855i \(0.494583\pi\)
\(480\) 3.71405 + 1.09811i 0.169522 + 0.0501215i
\(481\) 1.87918 + 0.683966i 0.0856832 + 0.0311861i
\(482\) −1.80935 3.13388i −0.0824135 0.142744i
\(483\) −0.0863790 + 0.0883631i −0.00393038 + 0.00402066i
\(484\) −0.230936 + 0.193778i −0.0104971 + 0.00880810i
\(485\) −24.6089 22.2526i −1.11743 1.01044i
\(486\) 15.2620 + 3.17374i 0.692296 + 0.143964i
\(487\) −10.3484 17.9239i −0.468929 0.812208i 0.530441 0.847722i \(-0.322027\pi\)
−0.999369 + 0.0355139i \(0.988693\pi\)
\(488\) 0.328660 0.902986i 0.0148777 0.0408763i
\(489\) 16.8906 37.3226i 0.763820 1.68779i
\(490\) −3.61377 11.2028i −0.163253 0.506092i
\(491\) 2.75264 + 7.56282i 0.124225 + 0.341305i 0.986180 0.165680i \(-0.0529820\pi\)
−0.861955 + 0.506986i \(0.830760\pi\)
\(492\) −7.47456 + 5.36124i −0.336979 + 0.241703i
\(493\) 32.8078 1.47759
\(494\) −2.11628 + 1.75278i −0.0952159 + 0.0788615i
\(495\) −20.5088 7.79894i −0.921802 0.350536i
\(496\) −0.753669 + 0.898188i −0.0338407 + 0.0403298i
\(497\) 0.411375 + 1.13024i 0.0184527 + 0.0506984i
\(498\) −1.00371 + 13.1966i −0.0449775 + 0.591354i
\(499\) −2.73791 + 15.5275i −0.122566 + 0.695105i 0.860158 + 0.510027i \(0.170365\pi\)
−0.982724 + 0.185077i \(0.940746\pi\)
\(500\) 0.708917 + 11.1578i 0.0317037 + 0.498994i
\(501\) −5.42764 19.3736i −0.242489 0.865550i
\(502\) −7.06986 + 12.2454i −0.315544 + 0.546537i
\(503\) −20.9842 + 17.6078i −0.935638 + 0.785093i −0.976821 0.214058i \(-0.931332\pi\)
0.0411830 + 0.999152i \(0.486887\pi\)
\(504\) −3.87578 + 0.774533i −0.172641 + 0.0345004i
\(505\) 5.47041 13.4575i 0.243430 0.598850i
\(506\) 0.0885607 + 0.153392i 0.00393700 + 0.00681909i
\(507\) 12.3164 18.0217i 0.546990 0.800372i
\(508\) −3.21377 + 18.2262i −0.142588 + 0.808658i
\(509\) 3.92282 + 22.2474i 0.173876 + 0.986100i 0.939433 + 0.342732i \(0.111352\pi\)
−0.765557 + 0.643368i \(0.777537\pi\)
\(510\) 3.69266 + 15.3468i 0.163514 + 0.679567i
\(511\) −8.85881 7.43342i −0.391891 0.328835i
\(512\) 1.00000i 0.0441942i
\(513\) 10.1360 + 20.2549i 0.447517 + 0.894275i
\(514\) 30.9651 1.36581
\(515\) −4.86837 + 7.75437i −0.214526 + 0.341698i
\(516\) 10.0651 0.995857i 0.443092 0.0438401i
\(517\) −12.4621 + 2.19741i −0.548084 + 0.0966420i
\(518\) −0.725724 + 4.11579i −0.0318865 + 0.180837i
\(519\) 37.1482 + 25.3878i 1.63062 + 1.11440i
\(520\) 0.865501 + 1.11265i 0.0379547 + 0.0487928i
\(521\) 7.82946 13.5610i 0.343015 0.594120i −0.641976 0.766725i \(-0.721885\pi\)
0.984991 + 0.172605i \(0.0552185\pi\)
\(522\) −4.73241 23.6811i −0.207132 1.03649i
\(523\) −9.46665 + 7.94346i −0.413948 + 0.347343i −0.825855 0.563882i \(-0.809307\pi\)
0.411908 + 0.911226i \(0.364863\pi\)
\(524\) −10.0864 5.82339i −0.440627 0.254396i
\(525\) −5.94580 9.73792i −0.259496 0.424998i
\(526\) 6.04005 16.5949i 0.263359 0.723573i
\(527\) −4.70607 0.829807i −0.205000 0.0361469i
\(528\) −0.429654 + 5.64898i −0.0186983 + 0.245840i
\(529\) 21.6102 7.86546i 0.939573 0.341977i
\(530\) 6.11470 9.73954i 0.265606 0.423059i
\(531\) 14.6790 + 8.03615i 0.637014 + 0.348739i
\(532\) −4.37544 3.71946i −0.189699 0.161259i
\(533\) −3.34794 −0.145015
\(534\) 14.5138 + 20.2350i 0.628075 + 0.875653i
\(535\) 16.4017 8.67635i 0.709106 0.375111i
\(536\) 1.96174 0.345907i 0.0847341 0.0149409i
\(537\) −8.35972 3.78325i −0.360749 0.163259i
\(538\) −10.7004 + 29.3992i −0.461329 + 1.26749i
\(539\) 14.9118 8.60935i 0.642298 0.370831i
\(540\) 10.5449 4.87913i 0.453779 0.209964i
\(541\) −14.3906 + 12.0751i −0.618700 + 0.519151i −0.897394 0.441229i \(-0.854543\pi\)
0.278695 + 0.960380i \(0.410098\pi\)
\(542\) −2.68033 3.19429i −0.115130 0.137207i
\(543\) −3.94800 + 4.03868i −0.169425 + 0.173316i
\(544\) 3.52959 2.03781i 0.151330 0.0873703i
\(545\) 30.8078 + 6.61672i 1.31966 + 0.283429i
\(546\) −1.31058 0.593114i −0.0560878 0.0253829i
\(547\) 3.01408 + 17.0937i 0.128873 + 0.730873i 0.978932 + 0.204186i \(0.0654548\pi\)
−0.850060 + 0.526687i \(0.823434\pi\)
\(548\) 15.7667 5.73860i 0.673519 0.245141i
\(549\) −1.04724 2.68587i −0.0446949 0.114630i
\(550\) −15.7398 + 4.44113i −0.671145 + 0.189370i
\(551\) 22.7260 26.7340i 0.968160 1.13891i
\(552\) −0.0908666 0.0232452i −0.00386754 0.000989380i
\(553\) 13.6571 + 11.4596i 0.580757 + 0.487313i
\(554\) −9.97978 + 3.63234i −0.424000 + 0.154323i
\(555\) −0.756244 12.2626i −0.0321008 0.520517i
\(556\) 0.767176 4.35087i 0.0325355 0.184518i
\(557\) 37.5151 + 13.6544i 1.58956 + 0.578554i 0.977256 0.212065i \(-0.0680188\pi\)
0.612309 + 0.790619i \(0.290241\pi\)
\(558\) 0.0798688 + 3.51660i 0.00338112 + 0.148869i
\(559\) 3.18806 + 1.84063i 0.134840 + 0.0778502i
\(560\) −1.97587 + 2.18508i −0.0834956 + 0.0923367i
\(561\) −20.8141 + 9.99504i −0.878773 + 0.421991i
\(562\) 24.2390 + 13.9944i 1.02246 + 0.590318i
\(563\) 38.8083 22.4060i 1.63558 0.944300i 0.653246 0.757146i \(-0.273407\pi\)
0.982330 0.187155i \(-0.0599265\pi\)
\(564\) 3.78096 5.53242i 0.159207 0.232957i
\(565\) −0.934648 + 25.2304i −0.0393209 + 1.06145i
\(566\) 3.31856 + 18.8205i 0.139489 + 0.791084i
\(567\) −7.20145 + 9.41983i −0.302432 + 0.395596i
\(568\) −0.586831 + 0.699357i −0.0246229 + 0.0293444i
\(569\) 16.2168 0.679845 0.339923 0.940453i \(-0.389599\pi\)
0.339923 + 0.940453i \(0.389599\pi\)
\(570\) 15.0635 + 7.62171i 0.630941 + 0.319238i
\(571\) 15.4916 0.648303 0.324152 0.946005i \(-0.394921\pi\)
0.324152 + 0.946005i \(0.394921\pi\)
\(572\) −1.32541 + 1.57957i −0.0554184 + 0.0660450i
\(573\) 40.4171 3.99892i 1.68845 0.167057i
\(574\) −1.21497 6.89045i −0.0507120 0.287602i
\(575\) −0.0271592 0.269391i −0.00113262 0.0112344i
\(576\) −1.98005 2.25376i −0.0825020 0.0939065i
\(577\) −1.23629 + 0.713774i −0.0514675 + 0.0297148i −0.525513 0.850786i \(-0.676127\pi\)
0.474045 + 0.880500i \(0.342793\pi\)
\(578\) −0.337182 0.194672i −0.0140249 0.00809729i
\(579\) −13.1253 27.3327i −0.545468 1.13591i
\(580\) −13.3509 12.0726i −0.554366 0.501287i
\(581\) −8.71817 5.03344i −0.361691 0.208822i
\(582\) 6.93294 + 24.7467i 0.287379 + 1.02578i
\(583\) 15.8073 + 5.75339i 0.654672 + 0.238281i
\(584\) 1.52423 8.64434i 0.0630731 0.357705i
\(585\) 4.15372 + 0.793901i 0.171735 + 0.0328238i
\(586\) −11.6897 + 4.25470i −0.482897 + 0.175760i
\(587\) −9.69157 8.13219i −0.400014 0.335651i 0.420485 0.907299i \(-0.361860\pi\)
−0.820499 + 0.571648i \(0.806304\pi\)
\(588\) −2.25976 + 8.83352i −0.0931909 + 0.364288i
\(589\) −3.93608 + 3.26001i −0.162183 + 0.134327i
\(590\) 12.3556 1.70975i 0.508673 0.0703894i
\(591\) −9.50609 + 6.81838i −0.391028 + 0.280471i
\(592\) −2.98089 + 1.08496i −0.122514 + 0.0445914i
\(593\) 6.64678 + 37.6957i 0.272950 + 1.54798i 0.745398 + 0.666620i \(0.232260\pi\)
−0.472448 + 0.881359i \(0.656629\pi\)
\(594\) 10.2169 + 13.5822i 0.419205 + 0.557283i
\(595\) −11.7389 2.52121i −0.481248 0.103360i
\(596\) −13.6091 + 7.85722i −0.557450 + 0.321844i
\(597\) −3.28395 3.21021i −0.134403 0.131385i
\(598\) −0.0219431 0.0261508i −0.000897321 0.00106939i
\(599\) 0.596444 0.500476i 0.0243700 0.0204489i −0.630521 0.776172i \(-0.717159\pi\)
0.654891 + 0.755723i \(0.272714\pi\)
\(600\) 4.14460 7.60410i 0.169203 0.310436i
\(601\) −18.2021 + 10.5090i −0.742479 + 0.428670i −0.822970 0.568085i \(-0.807684\pi\)
0.0804911 + 0.996755i \(0.474351\pi\)
\(602\) −2.63127 + 7.22936i −0.107243 + 0.294647i
\(603\) 3.73636 4.66392i 0.152156 0.189929i
\(604\) 7.29702 1.28666i 0.296912 0.0523535i
\(605\) 0.315206 + 0.595862i 0.0128150 + 0.0242252i
\(606\) −9.14359 + 6.55837i −0.371433 + 0.266416i
\(607\) 35.7122 1.44951 0.724757 0.689004i \(-0.241952\pi\)
0.724757 + 0.689004i \(0.241952\pi\)
\(608\) 0.784405 4.28774i 0.0318118 0.173891i
\(609\) 17.7959 + 4.55249i 0.721127 + 0.184476i
\(610\) −1.81980 1.14251i −0.0736816 0.0462590i
\(611\) 2.29185 0.834166i 0.0927184 0.0337467i
\(612\) 3.91987 11.5815i 0.158451 0.468153i
\(613\) −42.7399 7.53619i −1.72625 0.304384i −0.779509 0.626391i \(-0.784532\pi\)
−0.946737 + 0.322007i \(0.895643\pi\)
\(614\) −5.41403 + 14.8749i −0.218492 + 0.600303i
\(615\) 8.21119 + 18.8583i 0.331107 + 0.760441i
\(616\) −3.73193 2.15463i −0.150364 0.0868126i
\(617\) 13.6494 11.4532i 0.549506 0.461090i −0.325268 0.945622i \(-0.605454\pi\)
0.874774 + 0.484532i \(0.161010\pi\)
\(618\) 6.39324 3.07006i 0.257174 0.123496i
\(619\) 6.33105 10.9657i 0.254466 0.440749i −0.710284 0.703915i \(-0.751434\pi\)
0.964750 + 0.263166i \(0.0847668\pi\)
\(620\) 1.60975 + 2.06942i 0.0646491 + 0.0831099i
\(621\) −0.250818 + 0.127531i −0.0100650 + 0.00511766i
\(622\) −4.05259 + 22.9834i −0.162494 + 0.921551i
\(623\) −18.6537 + 3.28915i −0.747344 + 0.131777i
\(624\) −0.107509 1.08659i −0.00430381 0.0434986i
\(625\) 24.7263 + 3.68924i 0.989052 + 0.147570i
\(626\) 29.9250 1.19604
\(627\) −6.27333 + 23.8843i −0.250533 + 0.953849i
\(628\) 16.2094i 0.646827i
\(629\) −9.90394 8.31039i −0.394896 0.331357i
\(630\) −0.126550 + 8.83696i −0.00504188 + 0.352073i
\(631\) −3.74024 21.2119i −0.148896 0.844434i −0.964156 0.265338i \(-0.914517\pi\)
0.815259 0.579096i \(-0.196595\pi\)
\(632\) −2.34981 + 13.3264i −0.0934704 + 0.530097i
\(633\) −21.6684 14.8086i −0.861243 0.588590i
\(634\) 8.27451 + 14.3319i 0.328623 + 0.569192i
\(635\) 38.3374 + 15.5840i 1.52137 + 0.618432i
\(636\) −8.02995 + 3.85602i −0.318408 + 0.152901i
\(637\) −2.54223 + 2.13318i −0.100727 + 0.0845197i
\(638\) 13.1648 22.8022i 0.521201 0.902747i
\(639\) 0.0621884 + 2.73813i 0.00246013 + 0.108319i
\(640\) −2.18621 0.469543i −0.0864177 0.0185603i
\(641\) −1.27777 + 7.24662i −0.0504690 + 0.286224i −0.999588 0.0286928i \(-0.990866\pi\)
0.949119 + 0.314917i \(0.101977\pi\)
\(642\) −14.3314 1.09002i −0.565614 0.0430198i
\(643\) 0.842520 + 2.31480i 0.0332257 + 0.0912870i 0.955196 0.295973i \(-0.0956438\pi\)
−0.921971 + 0.387260i \(0.873422\pi\)
\(644\) 0.0458582 0.0546517i 0.00180707 0.00215358i
\(645\) 2.54884 22.4721i 0.100361 0.884837i
\(646\) 16.7324 5.96896i 0.658328 0.234846i
\(647\) −10.5697 −0.415537 −0.207768 0.978178i \(-0.566620\pi\)
−0.207768 + 0.978178i \(0.566620\pi\)
\(648\) −8.92508 1.15883i −0.350610 0.0455230i
\(649\) 6.24040 + 17.1454i 0.244957 + 0.673014i
\(650\) 2.83887 1.36973i 0.111350 0.0537254i
\(651\) −2.43756 1.10314i −0.0955357 0.0432353i
\(652\) −8.08951 + 22.2257i −0.316810 + 0.870427i
\(653\) −1.57775 2.73274i −0.0617422 0.106941i 0.833502 0.552516i \(-0.186332\pi\)
−0.895244 + 0.445576i \(0.852999\pi\)
\(654\) −17.4538 17.0618i −0.682496 0.667171i
\(655\) −17.4672 + 19.3167i −0.682499 + 0.754767i
\(656\) 4.06826 3.41368i 0.158839 0.133282i
\(657\) −13.6810 22.5003i −0.533745 0.877819i
\(658\) 2.54853 + 4.41418i 0.0993520 + 0.172083i
\(659\) 40.3334 + 14.6802i 1.57117 + 0.571858i 0.973260 0.229706i \(-0.0737765\pi\)
0.597908 + 0.801565i \(0.295999\pi\)
\(660\) 12.1481 + 3.59175i 0.472866 + 0.139809i
\(661\) −14.2238 + 2.50804i −0.553241 + 0.0975514i −0.443278 0.896384i \(-0.646184\pi\)
−0.109963 + 0.993936i \(0.535073\pi\)
\(662\) 0.557237 0.202818i 0.0216576 0.00788273i
\(663\) 3.61615 2.59373i 0.140439 0.100732i
\(664\) 7.64106i 0.296531i
\(665\) −10.1860 + 7.81919i −0.394996 + 0.303215i
\(666\) −4.56994 + 8.34753i −0.177081 + 0.323460i
\(667\) 0.333923 + 0.280195i 0.0129296 + 0.0108492i
\(668\) 3.97292 + 10.9155i 0.153717 + 0.422333i
\(669\) 11.8816 + 0.903698i 0.459369 + 0.0349390i
\(670\) 0.164892 4.45119i 0.00637035 0.171964i
\(671\) 1.07500 2.95354i 0.0415000 0.114020i
\(672\) 2.19732 0.615594i 0.0847636 0.0237470i
\(673\) −7.53961 + 13.0590i −0.290631 + 0.503387i −0.973959 0.226724i \(-0.927198\pi\)
0.683328 + 0.730111i \(0.260532\pi\)
\(674\) −4.95053 5.89981i −0.190687 0.227252i
\(675\) −5.71556 25.3443i −0.219992 0.975502i
\(676\) −6.30129 + 10.9142i −0.242357 + 0.419775i
\(677\) −27.0191 + 15.5995i −1.03843 + 0.599537i −0.919388 0.393352i \(-0.871315\pi\)
−0.119041 + 0.992889i \(0.537982\pi\)
\(678\) 11.0347 16.1463i 0.423785 0.620095i
\(679\) −19.2511 3.39450i −0.738791 0.130269i
\(680\) −2.79779 8.67327i −0.107290 0.332605i
\(681\) −14.2895 + 1.41383i −0.547577 + 0.0541780i
\(682\) −2.46515 + 2.93785i −0.0943954 + 0.112496i
\(683\) 24.3802i 0.932881i −0.884553 0.466440i \(-0.845536\pi\)
0.884553 0.466440i \(-0.154464\pi\)
\(684\) −6.72207 11.2167i −0.257025 0.428880i
\(685\) −5.14268 37.1638i −0.196492 1.41996i
\(686\) −12.3776 10.3860i −0.472579 0.396541i
\(687\) −3.88612 39.2769i −0.148265 1.49851i
\(688\) −5.75075 + 1.01401i −0.219245 + 0.0386589i
\(689\) −3.19289 0.562992i −0.121639 0.0214483i
\(690\) −0.0934847 + 0.187739i −0.00355890 + 0.00714711i
\(691\) −21.0762 36.5050i −0.801776 1.38872i −0.918446 0.395546i \(-0.870555\pi\)
0.116670 0.993171i \(-0.462778\pi\)
\(692\) −22.4974 12.9889i −0.855222 0.493763i
\(693\) −12.6771 + 2.53339i −0.481565 + 0.0962355i
\(694\) 23.5786 + 28.0999i 0.895031 + 1.06666i
\(695\) −9.15171 3.72013i −0.347144 0.141113i
\(696\) 3.76129 + 13.4257i 0.142571 + 0.508900i
\(697\) 20.3392 + 7.40287i 0.770403 + 0.280404i
\(698\) 17.4810 + 3.08238i 0.661666 + 0.116670i
\(699\) 27.8408 + 2.11753i 1.05303 + 0.0800923i
\(700\) 3.84931 + 5.34566i 0.145490 + 0.202047i
\(701\) −18.0947 + 21.5644i −0.683427 + 0.814476i −0.990544 0.137196i \(-0.956191\pi\)
0.307117 + 0.951672i \(0.400636\pi\)
\(702\) −2.39381 2.23604i −0.0903484 0.0843940i
\(703\) −13.6323 + 2.31378i −0.514153 + 0.0872659i
\(704\) 3.27086i 0.123275i
\(705\) −10.3197 10.8637i −0.388663 0.409151i
\(706\) 2.89626 + 7.95742i 0.109002 + 0.299481i
\(707\) −1.48627 8.42905i −0.0558969 0.317007i
\(708\) −8.80238 3.98358i −0.330814 0.149712i
\(709\) −9.49114 3.45449i −0.356447 0.129736i 0.157589 0.987505i \(-0.449628\pi\)
−0.514036 + 0.857769i \(0.671850\pi\)
\(710\) 1.25340 + 1.61132i 0.0470394 + 0.0604716i
\(711\) 21.0911 + 34.6872i 0.790977 + 1.30087i
\(712\) −9.24144 11.0135i −0.346338 0.412749i
\(713\) −0.0408122 0.0486380i −0.00152843 0.00182151i
\(714\) 6.65052 + 6.50119i 0.248889 + 0.243301i
\(715\) 2.83093 + 3.63931i 0.105871 + 0.136103i
\(716\) 4.97824 + 1.81193i 0.186046 + 0.0677151i
\(717\) 13.4721 29.7688i 0.503124 1.11174i
\(718\) −0.232739 1.31993i −0.00868575 0.0492594i
\(719\) −10.7327 29.4878i −0.400262 1.09971i −0.962156 0.272501i \(-0.912149\pi\)
0.561894 0.827209i \(-0.310073\pi\)
\(720\) −5.85691 + 3.27057i −0.218274 + 0.121887i
\(721\) 5.39460i 0.200905i
\(722\) 6.72665 17.7694i 0.250340 0.661309i
\(723\) 6.07222 + 1.55337i 0.225828 + 0.0577706i
\(724\) 2.09597 2.49788i 0.0778963 0.0928332i
\(725\) −32.6621 + 23.5193i −1.21304 + 0.873487i
\(726\) 0.0395999 0.520649i 0.00146969 0.0193231i
\(727\) 35.6502 + 6.28609i 1.32219 + 0.233138i 0.789802 0.613362i \(-0.210183\pi\)
0.532389 + 0.846500i \(0.321294\pi\)
\(728\) 0.780457 + 0.284063i 0.0289257 + 0.0105281i
\(729\) −22.4095 + 15.0604i −0.829981 + 0.557792i
\(730\) −18.1827 7.39118i −0.672971 0.273560i
\(731\) −15.2980 18.2314i −0.565816 0.674314i
\(732\) 0.720484 + 1.50037i 0.0266299 + 0.0554552i
\(733\) 21.0150 + 12.1330i 0.776206 + 0.448143i 0.835084 0.550122i \(-0.185419\pi\)
−0.0588778 + 0.998265i \(0.518752\pi\)
\(734\) −16.4345 28.4654i −0.606610 1.05068i
\(735\) 18.2509 + 9.08803i 0.673195 + 0.335217i
\(736\) 0.0533286 + 0.00940327i 0.00196572 + 0.000346609i
\(737\) 6.41656 1.13141i 0.236357 0.0416761i
\(738\) 2.40963 15.7490i 0.0886995 0.579727i
\(739\) −0.951635 0.798517i −0.0350065 0.0293739i 0.625117 0.780531i \(-0.285051\pi\)
−0.660123 + 0.751157i \(0.729496\pi\)
\(740\) 0.972289 + 7.02630i 0.0357421 + 0.258292i
\(741\) 0.391359 4.74336i 0.0143769 0.174252i
\(742\) 6.77565i 0.248742i
\(743\) −27.2474 + 32.4722i −0.999609 + 1.19129i −0.0181073 + 0.999836i \(0.505764\pi\)
−0.981502 + 0.191452i \(0.938680\pi\)
\(744\) −0.199957 2.02096i −0.00733078 0.0740921i
\(745\) 10.7875 + 33.4417i 0.395223 + 1.22521i
\(746\) −25.4309 4.48415i −0.931090 0.164176i
\(747\) −15.1297 17.2211i −0.553566 0.630087i
\(748\) 11.5448 6.66539i 0.422119 0.243711i
\(749\) 5.46627 9.46785i 0.199733 0.345948i
\(750\) −14.6781 12.6314i −0.535969 0.461235i
\(751\) 15.2865 + 18.2178i 0.557813 + 0.664775i 0.969082 0.246739i \(-0.0793589\pi\)
−0.411269 + 0.911514i \(0.634914\pi\)
\(752\) −1.93441 + 3.35050i −0.0705407 + 0.122180i
\(753\) −6.60685 23.5827i −0.240767 0.859403i
\(754\) −1.73563 + 4.76861i −0.0632080 + 0.173662i
\(755\) 0.613346 16.5570i 0.0223220 0.602571i
\(756\) 3.73333 5.73820i 0.135780 0.208696i
\(757\) −14.8974 40.9304i −0.541457 1.48764i −0.844970 0.534813i \(-0.820382\pi\)
0.303513 0.952827i \(-0.401840\pi\)
\(758\) −15.7714 13.2337i −0.572841 0.480671i
\(759\) −0.297212 0.0760317i −0.0107881 0.00275978i
\(760\) −9.00560 3.72815i −0.326668 0.135234i
\(761\) 11.9464i 0.433055i 0.976277 + 0.216528i \(0.0694731\pi\)
−0.976277 + 0.216528i \(0.930527\pi\)
\(762\) −18.6834 26.0481i −0.676827 0.943622i
\(763\) 17.4460 6.34981i 0.631586 0.229878i
\(764\) −23.0925 + 4.07183i −0.835457 + 0.147314i
\(765\) −23.4790 14.0077i −0.848886 0.506448i
\(766\) −9.15789 3.33320i −0.330888 0.120433i
\(767\) −1.75829 3.04545i −0.0634882 0.109965i
\(768\) 1.23857 + 1.21076i 0.0446931 + 0.0436896i
\(769\) 13.1537 11.0373i 0.474335 0.398014i −0.374038 0.927413i \(-0.622027\pi\)
0.848373 + 0.529399i \(0.177583\pi\)
\(770\) −6.46279 + 7.14711i −0.232903 + 0.257564i
\(771\) −37.4913 + 38.3524i −1.35022 + 1.38123i
\(772\) 8.75285 + 15.1604i 0.315022 + 0.545634i
\(773\) −1.55329 + 4.26763i −0.0558680 + 0.153496i −0.964487 0.264129i \(-0.914915\pi\)
0.908619 + 0.417626i