Properties

Label 570.2.n.a.179.5
Level $570$
Weight $2$
Character 570.179
Analytic conductor $4.551$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 179.5
Character \(\chi\) \(=\) 570.179
Dual form 570.2.n.a.449.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.25145 - 1.19744i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.09015 + 1.95233i) q^{5} +(0.485072 + 1.66274i) q^{6} +4.59876i q^{7} -1.00000i q^{8} +(0.132279 + 2.99708i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.25145 - 1.19744i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.09015 + 1.95233i) q^{5} +(0.485072 + 1.66274i) q^{6} +4.59876i q^{7} -1.00000i q^{8} +(0.132279 + 2.99708i) q^{9} +(1.92026 - 1.14569i) q^{10} -1.39284i q^{11} +(0.411285 - 1.68251i) q^{12} +(-3.11593 - 5.39696i) q^{13} +(2.29938 - 3.98265i) q^{14} +(3.70206 - 1.13787i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(0.239870 - 0.415466i) q^{17} +(1.38398 - 2.66169i) q^{18} +(-2.43225 - 3.61720i) q^{19} +(-2.23584 + 0.0320694i) q^{20} +(5.50674 - 5.75515i) q^{21} +(-0.696421 + 1.20624i) q^{22} +(-2.13813 - 3.70335i) q^{23} +(-1.19744 + 1.25145i) q^{24} +(-2.62316 - 4.25664i) q^{25} +6.23187i q^{26} +(3.42328 - 3.90911i) q^{27} +(-3.98265 + 2.29938i) q^{28} +(1.35342 + 2.34419i) q^{29} +(-3.77501 - 0.865610i) q^{30} -4.16041i q^{31} +(0.866025 - 0.500000i) q^{32} +(-1.66784 + 1.74308i) q^{33} +(-0.415466 + 0.239870i) q^{34} +(-8.97829 - 5.01332i) q^{35} +(-2.52941 + 1.61310i) q^{36} +2.07106 q^{37} +(0.297794 + 4.34871i) q^{38} +(-2.56308 + 10.4852i) q^{39} +(1.95233 + 1.09015i) q^{40} +(-5.51368 + 9.54997i) q^{41} +(-7.64655 + 2.23073i) q^{42} +(5.15633 + 2.97701i) q^{43} +(1.20624 - 0.696421i) q^{44} +(-5.99549 - 3.00901i) q^{45} +4.27626i q^{46} +(-3.19735 - 5.53798i) q^{47} +(1.66274 - 0.485072i) q^{48} -14.1486 q^{49} +(0.143404 + 4.99794i) q^{50} +(-0.797682 + 0.232708i) q^{51} +(3.11593 - 5.39696i) q^{52} +(6.58345 - 3.80096i) q^{53} +(-4.91920 + 1.67375i) q^{54} +(2.71928 + 1.51840i) q^{55} +4.59876 q^{56} +(-1.28752 + 7.43924i) q^{57} -2.70684i q^{58} +(0.292964 - 0.507429i) q^{59} +(2.83645 + 2.63715i) q^{60} +(-4.04082 - 6.99890i) q^{61} +(-2.08020 + 3.60302i) q^{62} +(-13.7829 + 0.608319i) q^{63} -1.00000 q^{64} +(13.9335 - 0.199853i) q^{65} +(2.31593 - 0.675629i) q^{66} +(-7.23104 - 12.5245i) q^{67} +0.479739 q^{68} +(-1.75876 + 7.19485i) q^{69} +(5.26877 + 8.83081i) q^{70} +(5.36334 - 9.28957i) q^{71} +(2.99708 - 0.132279i) q^{72} +(7.91151 + 4.56771i) q^{73} +(-1.79359 - 1.03553i) q^{74} +(-1.81430 + 8.46808i) q^{75} +(1.91646 - 3.91499i) q^{76} +6.40535 q^{77} +(7.46229 - 7.79890i) q^{78} +(-9.30867 - 5.37436i) q^{79} +(-1.14569 - 1.92026i) q^{80} +(-8.96500 + 0.792902i) q^{81} +(9.54997 - 5.51368i) q^{82} -5.37122 q^{83} +(7.73747 + 1.89140i) q^{84} +(0.549634 + 0.921223i) q^{85} +(-2.97701 - 5.15633i) q^{86} +(1.11328 - 4.55429i) q^{87} -1.39284 q^{88} +(-0.964199 - 1.67004i) q^{89} +(3.68774 + 5.60362i) q^{90} +(24.8193 - 14.3294i) q^{91} +(2.13813 - 3.70335i) q^{92} +(-4.98184 + 5.20657i) q^{93} +6.39471i q^{94} +(9.71347 - 0.805279i) q^{95} +(-1.68251 - 0.411285i) q^{96} +(-7.30058 + 12.6450i) q^{97} +(12.2531 + 7.07431i) q^{98} +(4.17446 - 0.184244i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 40q^{4} + O(q^{10}) \) \( 80q + 40q^{4} + 30q^{15} - 40q^{16} + 8q^{19} + 8q^{25} - 4q^{30} + 48q^{39} + 12q^{45} - 128q^{49} - 36q^{54} + 12q^{55} + 30q^{60} - 24q^{61} - 80q^{64} + 4q^{66} + 36q^{70} + 16q^{76} + 24q^{79} + 32q^{81} - 8q^{85} - 54q^{90} + 24q^{91} - 60q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) −1.25145 1.19744i −0.722528 0.691342i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −1.09015 + 1.95233i −0.487528 + 0.873107i
\(6\) 0.485072 + 1.66274i 0.198030 + 0.678811i
\(7\) 4.59876i 1.73817i 0.494664 + 0.869085i \(0.335291\pi\)
−0.494664 + 0.869085i \(0.664709\pi\)
\(8\) 1.00000i 0.353553i
\(9\) 0.132279 + 2.99708i 0.0440930 + 0.999027i
\(10\) 1.92026 1.14569i 0.607239 0.362300i
\(11\) 1.39284i 0.419958i −0.977706 0.209979i \(-0.932661\pi\)
0.977706 0.209979i \(-0.0673395\pi\)
\(12\) 0.411285 1.68251i 0.118728 0.485699i
\(13\) −3.11593 5.39696i −0.864205 1.49685i −0.867835 0.496853i \(-0.834489\pi\)
0.00362967 0.999993i \(-0.498845\pi\)
\(14\) 2.29938 3.98265i 0.614536 1.06441i
\(15\) 3.70206 1.13787i 0.955868 0.293796i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 0.239870 0.415466i 0.0581769 0.100765i −0.835470 0.549536i \(-0.814805\pi\)
0.893647 + 0.448770i \(0.148138\pi\)
\(18\) 1.38398 2.66169i 0.326208 0.627366i
\(19\) −2.43225 3.61720i −0.557997 0.829843i
\(20\) −2.23584 + 0.0320694i −0.499949 + 0.00717094i
\(21\) 5.50674 5.75515i 1.20167 1.25588i
\(22\) −0.696421 + 1.20624i −0.148477 + 0.257170i
\(23\) −2.13813 3.70335i −0.445831 0.772201i 0.552279 0.833659i \(-0.313758\pi\)
−0.998110 + 0.0614580i \(0.980425\pi\)
\(24\) −1.19744 + 1.25145i −0.244426 + 0.255452i
\(25\) −2.62316 4.25664i −0.524633 0.851329i
\(26\) 6.23187i 1.22217i
\(27\) 3.42328 3.90911i 0.658811 0.752308i
\(28\) −3.98265 + 2.29938i −0.752649 + 0.434542i
\(29\) 1.35342 + 2.34419i 0.251324 + 0.435305i 0.963891 0.266299i \(-0.0858008\pi\)
−0.712567 + 0.701604i \(0.752467\pi\)
\(30\) −3.77501 0.865610i −0.689220 0.158038i
\(31\) 4.16041i 0.747232i −0.927584 0.373616i \(-0.878118\pi\)
0.927584 0.373616i \(-0.121882\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) −1.66784 + 1.74308i −0.290334 + 0.303431i
\(34\) −0.415466 + 0.239870i −0.0712519 + 0.0411373i
\(35\) −8.97829 5.01332i −1.51761 0.847406i
\(36\) −2.52941 + 1.61310i −0.421568 + 0.268850i
\(37\) 2.07106 0.340480 0.170240 0.985403i \(-0.445546\pi\)
0.170240 + 0.985403i \(0.445546\pi\)
\(38\) 0.297794 + 4.34871i 0.0483085 + 0.705455i
\(39\) −2.56308 + 10.4852i −0.410421 + 1.67897i
\(40\) 1.95233 + 1.09015i 0.308690 + 0.172367i
\(41\) −5.51368 + 9.54997i −0.861092 + 1.49145i 0.00978488 + 0.999952i \(0.496885\pi\)
−0.870876 + 0.491502i \(0.836448\pi\)
\(42\) −7.64655 + 2.23073i −1.17989 + 0.344209i
\(43\) 5.15633 + 2.97701i 0.786333 + 0.453989i 0.838670 0.544640i \(-0.183334\pi\)
−0.0523373 + 0.998629i \(0.516667\pi\)
\(44\) 1.20624 0.696421i 0.181847 0.104989i
\(45\) −5.99549 3.00901i −0.893755 0.448556i
\(46\) 4.27626i 0.630500i
\(47\) −3.19735 5.53798i −0.466382 0.807798i 0.532881 0.846190i \(-0.321109\pi\)
−0.999263 + 0.0383929i \(0.987776\pi\)
\(48\) 1.66274 0.485072i 0.239996 0.0700141i
\(49\) −14.1486 −2.02123
\(50\) 0.143404 + 4.99794i 0.0202804 + 0.706816i
\(51\) −0.797682 + 0.232708i −0.111698 + 0.0325857i
\(52\) 3.11593 5.39696i 0.432102 0.748423i
\(53\) 6.58345 3.80096i 0.904307 0.522102i 0.0257120 0.999669i \(-0.491815\pi\)
0.878595 + 0.477567i \(0.158481\pi\)
\(54\) −4.91920 + 1.67375i −0.669419 + 0.227768i
\(55\) 2.71928 + 1.51840i 0.366668 + 0.204741i
\(56\) 4.59876 0.614536
\(57\) −1.28752 + 7.43924i −0.170536 + 0.985351i
\(58\) 2.70684i 0.355425i
\(59\) 0.292964 0.507429i 0.0381407 0.0660617i −0.846325 0.532667i \(-0.821190\pi\)
0.884466 + 0.466605i \(0.154523\pi\)
\(60\) 2.83645 + 2.63715i 0.366184 + 0.340454i
\(61\) −4.04082 6.99890i −0.517374 0.896118i −0.999796 0.0201790i \(-0.993576\pi\)
0.482423 0.875939i \(-0.339757\pi\)
\(62\) −2.08020 + 3.60302i −0.264186 + 0.457584i
\(63\) −13.7829 + 0.608319i −1.73648 + 0.0766410i
\(64\) −1.00000 −0.125000
\(65\) 13.9335 0.199853i 1.72823 0.0247887i
\(66\) 2.31593 0.675629i 0.285072 0.0831641i
\(67\) −7.23104 12.5245i −0.883412 1.53011i −0.847523 0.530758i \(-0.821907\pi\)
−0.0358883 0.999356i \(-0.511426\pi\)
\(68\) 0.479739 0.0581769
\(69\) −1.75876 + 7.19485i −0.211730 + 0.866158i
\(70\) 5.26877 + 8.83081i 0.629738 + 1.05548i
\(71\) 5.36334 9.28957i 0.636511 1.10247i −0.349682 0.936868i \(-0.613710\pi\)
0.986193 0.165601i \(-0.0529563\pi\)
\(72\) 2.99708 0.132279i 0.353210 0.0155892i
\(73\) 7.91151 + 4.56771i 0.925972 + 0.534610i 0.885536 0.464572i \(-0.153792\pi\)
0.0404369 + 0.999182i \(0.487125\pi\)
\(74\) −1.79359 1.03553i −0.208501 0.120378i
\(75\) −1.81430 + 8.46808i −0.209497 + 0.977809i
\(76\) 1.91646 3.91499i 0.219833 0.449081i
\(77\) 6.40535 0.729957
\(78\) 7.46229 7.79890i 0.844937 0.883052i
\(79\) −9.30867 5.37436i −1.04731 0.604663i −0.125413 0.992105i \(-0.540026\pi\)
−0.921894 + 0.387442i \(0.873359\pi\)
\(80\) −1.14569 1.92026i −0.128092 0.214691i
\(81\) −8.96500 + 0.792902i −0.996112 + 0.0881002i
\(82\) 9.54997 5.51368i 1.05462 0.608884i
\(83\) −5.37122 −0.589568 −0.294784 0.955564i \(-0.595248\pi\)
−0.294784 + 0.955564i \(0.595248\pi\)
\(84\) 7.73747 + 1.89140i 0.844227 + 0.206369i
\(85\) 0.549634 + 0.921223i 0.0596161 + 0.0999207i
\(86\) −2.97701 5.15633i −0.321019 0.556021i
\(87\) 1.11328 4.55429i 0.119356 0.488271i
\(88\) −1.39284 −0.148477
\(89\) −0.964199 1.67004i −0.102205 0.177024i 0.810388 0.585894i \(-0.199256\pi\)
−0.912593 + 0.408870i \(0.865923\pi\)
\(90\) 3.68774 + 5.60362i 0.388722 + 0.590673i
\(91\) 24.8193 14.3294i 2.60177 1.50213i
\(92\) 2.13813 3.70335i 0.222915 0.386101i
\(93\) −4.98184 + 5.20657i −0.516593 + 0.539896i
\(94\) 6.39471i 0.659564i
\(95\) 9.71347 0.805279i 0.996581 0.0826199i
\(96\) −1.68251 0.411285i −0.171721 0.0419766i
\(97\) −7.30058 + 12.6450i −0.741261 + 1.28390i 0.210660 + 0.977559i \(0.432439\pi\)
−0.951921 + 0.306343i \(0.900895\pi\)
\(98\) 12.2531 + 7.07431i 1.23775 + 0.714613i
\(99\) 4.17446 0.184244i 0.419549 0.0185172i
\(100\) 2.37478 4.40005i 0.237478 0.440005i
\(101\) −13.5006 + 7.79457i −1.34336 + 0.775589i −0.987299 0.158874i \(-0.949214\pi\)
−0.356061 + 0.934463i \(0.615880\pi\)
\(102\) 0.807167 + 0.197310i 0.0799214 + 0.0195366i
\(103\) −14.6267 −1.44121 −0.720605 0.693345i \(-0.756136\pi\)
−0.720605 + 0.693345i \(0.756136\pi\)
\(104\) −5.39696 + 3.11593i −0.529215 + 0.305543i
\(105\) 5.23278 + 17.0249i 0.510667 + 1.66146i
\(106\) −7.60192 −0.738364
\(107\) 5.90734i 0.571084i −0.958366 0.285542i \(-0.907826\pi\)
0.958366 0.285542i \(-0.0921737\pi\)
\(108\) 5.09703 + 1.01009i 0.490462 + 0.0971964i
\(109\) −3.32769 1.92124i −0.318735 0.184022i 0.332094 0.943246i \(-0.392245\pi\)
−0.650829 + 0.759225i \(0.725578\pi\)
\(110\) −1.59577 2.67461i −0.152150 0.255015i
\(111\) −2.59184 2.47997i −0.246006 0.235388i
\(112\) −3.98265 2.29938i −0.376325 0.217271i
\(113\) 13.9360i 1.31098i 0.755202 + 0.655492i \(0.227539\pi\)
−0.755202 + 0.655492i \(0.772461\pi\)
\(114\) 4.83465 5.79881i 0.452806 0.543108i
\(115\) 9.56102 0.137137i 0.891570 0.0127881i
\(116\) −1.35342 + 2.34419i −0.125662 + 0.217653i
\(117\) 15.7630 10.0526i 1.45729 0.929365i
\(118\) −0.507429 + 0.292964i −0.0467126 + 0.0269696i
\(119\) 1.91063 + 1.10310i 0.175147 + 0.101121i
\(120\) −1.13787 3.70206i −0.103872 0.337950i
\(121\) 9.05999 0.823636
\(122\) 8.08164i 0.731677i
\(123\) 18.3356 5.34906i 1.65327 0.482309i
\(124\) 3.60302 2.08020i 0.323561 0.186808i
\(125\) 11.1700 0.480910i 0.999074 0.0430139i
\(126\) 12.2405 + 6.36462i 1.09047 + 0.567005i
\(127\) −2.52200 4.36823i −0.223791 0.387617i 0.732165 0.681127i \(-0.238510\pi\)
−0.955956 + 0.293510i \(0.905177\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) −2.88813 9.89998i −0.254285 0.871645i
\(130\) −12.1666 6.79365i −1.06709 0.595842i
\(131\) 6.42795 + 3.71118i 0.561612 + 0.324247i 0.753792 0.657113i \(-0.228222\pi\)
−0.192180 + 0.981360i \(0.561556\pi\)
\(132\) −2.34347 0.572855i −0.203973 0.0498606i
\(133\) 16.6346 11.1854i 1.44241 0.969894i
\(134\) 14.4621i 1.24933i
\(135\) 3.89998 + 10.9449i 0.335657 + 0.941984i
\(136\) −0.415466 0.239870i −0.0356260 0.0205687i
\(137\) −4.75833 8.24166i −0.406531 0.704133i 0.587967 0.808885i \(-0.299928\pi\)
−0.994498 + 0.104752i \(0.966595\pi\)
\(138\) 5.12056 5.35154i 0.435891 0.455554i
\(139\) −2.16277 3.74604i −0.183444 0.317735i 0.759607 0.650382i \(-0.225391\pi\)
−0.943051 + 0.332648i \(0.892058\pi\)
\(140\) −0.147480 10.2821i −0.0124643 0.868995i
\(141\) −2.63005 + 10.7592i −0.221490 + 0.906086i
\(142\) −9.28957 + 5.36334i −0.779563 + 0.450081i
\(143\) −7.51711 + 4.34000i −0.628612 + 0.362929i
\(144\) −2.66169 1.38398i −0.221807 0.115332i
\(145\) −6.05205 + 0.0868068i −0.502596 + 0.00720891i
\(146\) −4.56771 7.91151i −0.378027 0.654761i
\(147\) 17.7064 + 16.9421i 1.46040 + 1.39736i
\(148\) 1.03553 + 1.79359i 0.0851200 + 0.147432i
\(149\) 8.69619 + 5.02075i 0.712420 + 0.411316i 0.811956 0.583718i \(-0.198403\pi\)
−0.0995366 + 0.995034i \(0.531736\pi\)
\(150\) 5.80527 6.42642i 0.473998 0.524715i
\(151\) 8.52964i 0.694132i 0.937841 + 0.347066i \(0.112822\pi\)
−0.937841 + 0.347066i \(0.887178\pi\)
\(152\) −3.61720 + 2.43225i −0.293394 + 0.197282i
\(153\) 1.27692 + 0.663952i 0.103233 + 0.0536773i
\(154\) −5.54719 3.20267i −0.447006 0.258079i
\(155\) 8.12248 + 4.53545i 0.652413 + 0.364296i
\(156\) −10.3620 + 3.02291i −0.829622 + 0.242026i
\(157\) 3.83879 + 2.21633i 0.306369 + 0.176882i 0.645300 0.763929i \(-0.276732\pi\)
−0.338932 + 0.940811i \(0.610066\pi\)
\(158\) 5.37436 + 9.30867i 0.427561 + 0.740558i
\(159\) −12.7903 3.12656i −1.01434 0.247952i
\(160\) 0.0320694 + 2.23584i 0.00253531 + 0.176759i
\(161\) 17.0308 9.83275i 1.34222 0.774929i
\(162\) 8.16037 + 3.79583i 0.641139 + 0.298229i
\(163\) 13.3074i 1.04232i 0.853460 + 0.521158i \(0.174500\pi\)
−0.853460 + 0.521158i \(0.825500\pi\)
\(164\) −11.0274 −0.861092
\(165\) −1.58487 5.15639i −0.123382 0.401424i
\(166\) 4.65161 + 2.68561i 0.361035 + 0.208444i
\(167\) 9.26118 5.34695i 0.716652 0.413759i −0.0968673 0.995297i \(-0.530882\pi\)
0.813519 + 0.581538i \(0.197549\pi\)
\(168\) −5.75515 5.50674i −0.444019 0.424854i
\(169\) −12.9181 + 22.3748i −0.993700 + 1.72114i
\(170\) −0.0153850 1.07262i −0.00117997 0.0822662i
\(171\) 10.5193 7.76815i 0.804432 0.594045i
\(172\) 5.95401i 0.453989i
\(173\) −16.5086 9.53126i −1.25513 0.724648i −0.283004 0.959119i \(-0.591331\pi\)
−0.972123 + 0.234471i \(0.924664\pi\)
\(174\) −3.24127 + 3.38749i −0.245720 + 0.256805i
\(175\) 19.5753 12.0633i 1.47975 0.911900i
\(176\) 1.20624 + 0.696421i 0.0909235 + 0.0524947i
\(177\) −0.974247 + 0.284218i −0.0732289 + 0.0213631i
\(178\) 1.92840i 0.144540i
\(179\) −10.6080 −0.792881 −0.396440 0.918060i \(-0.629755\pi\)
−0.396440 + 0.918060i \(0.629755\pi\)
\(180\) −0.391869 6.69675i −0.0292082 0.499146i
\(181\) −3.00128 + 1.73279i −0.223083 + 0.128797i −0.607377 0.794414i \(-0.707778\pi\)
0.384294 + 0.923211i \(0.374445\pi\)
\(182\) −28.6589 −2.12434
\(183\) −3.32386 + 13.5974i −0.245707 + 1.00515i
\(184\) −3.70335 + 2.13813i −0.273014 + 0.157625i
\(185\) −2.25776 + 4.04339i −0.165994 + 0.297276i
\(186\) 6.91768 2.01810i 0.507229 0.147974i
\(187\) −0.578679 0.334100i −0.0423172 0.0244318i
\(188\) 3.19735 5.53798i 0.233191 0.403899i
\(189\) 17.9771 + 15.7429i 1.30764 + 1.14513i
\(190\) −8.81475 4.15934i −0.639489 0.301750i
\(191\) 12.3355i 0.892563i −0.894893 0.446281i \(-0.852748\pi\)
0.894893 0.446281i \(-0.147252\pi\)
\(192\) 1.25145 + 1.19744i 0.0903160 + 0.0864177i
\(193\) −6.20828 + 10.7531i −0.446882 + 0.774022i −0.998181 0.0602858i \(-0.980799\pi\)
0.551300 + 0.834307i \(0.314132\pi\)
\(194\) 12.6450 7.30058i 0.907856 0.524151i
\(195\) −17.6764 16.4344i −1.26583 1.17689i
\(196\) −7.07431 12.2531i −0.505308 0.875219i
\(197\) −1.06295 −0.0757323 −0.0378661 0.999283i \(-0.512056\pi\)
−0.0378661 + 0.999283i \(0.512056\pi\)
\(198\) −3.70731 1.92767i −0.263467 0.136994i
\(199\) −1.54641 2.67846i −0.109622 0.189871i 0.805995 0.591922i \(-0.201631\pi\)
−0.915617 + 0.402051i \(0.868297\pi\)
\(200\) −4.25664 + 2.62316i −0.300990 + 0.185486i
\(201\) −5.94804 + 24.3326i −0.419542 + 1.71629i
\(202\) 15.5891 1.09685
\(203\) −10.7804 + 6.22406i −0.756634 + 0.436843i
\(204\) −0.600372 0.574459i −0.0420345 0.0402202i
\(205\) −12.6339 21.1754i −0.882393 1.47895i
\(206\) 12.6671 + 7.31335i 0.882558 + 0.509545i
\(207\) 10.8164 6.89802i 0.751792 0.479446i
\(208\) 6.23187 0.432102
\(209\) −5.03819 + 3.38774i −0.348499 + 0.234335i
\(210\) 3.98074 17.3604i 0.274697 1.19798i
\(211\) 7.20865 + 4.16192i 0.496264 + 0.286518i 0.727169 0.686458i \(-0.240835\pi\)
−0.230905 + 0.972976i \(0.574169\pi\)
\(212\) 6.58345 + 3.80096i 0.452154 + 0.261051i
\(213\) −17.8357 + 5.20321i −1.22208 + 0.356518i
\(214\) −2.95367 + 5.11591i −0.201909 + 0.349716i
\(215\) −11.4332 + 6.82147i −0.779741 + 0.465220i
\(216\) −3.90911 3.42328i −0.265981 0.232925i
\(217\) 19.1327 1.29882
\(218\) 1.92124 + 3.32769i 0.130123 + 0.225380i
\(219\) −4.43134 15.1898i −0.299442 1.02643i
\(220\) 0.0446676 + 3.11417i 0.00301149 + 0.209957i
\(221\) −2.98967 −0.201107
\(222\) 1.00461 + 3.44363i 0.0674252 + 0.231122i
\(223\) 5.54000 9.59556i 0.370986 0.642566i −0.618732 0.785602i \(-0.712353\pi\)
0.989717 + 0.143036i \(0.0456865\pi\)
\(224\) 2.29938 + 3.98265i 0.153634 + 0.266102i
\(225\) 12.4105 8.42490i 0.827368 0.561660i
\(226\) 6.96798 12.0689i 0.463503 0.802811i
\(227\) 9.47873i 0.629126i 0.949237 + 0.314563i \(0.101858\pi\)
−0.949237 + 0.314563i \(0.898142\pi\)
\(228\) −7.08633 + 2.60459i −0.469304 + 0.172493i
\(229\) −15.6438 −1.03377 −0.516885 0.856055i \(-0.672908\pi\)
−0.516885 + 0.856055i \(0.672908\pi\)
\(230\) −8.34865 4.66175i −0.550494 0.307386i
\(231\) −8.01600 7.67001i −0.527414 0.504650i
\(232\) 2.34419 1.35342i 0.153904 0.0888563i
\(233\) 7.00038 12.1250i 0.458610 0.794336i −0.540278 0.841487i \(-0.681681\pi\)
0.998888 + 0.0471506i \(0.0150141\pi\)
\(234\) −18.6774 + 0.824345i −1.22098 + 0.0538891i
\(235\) 14.2975 0.205075i 0.932668 0.0133776i
\(236\) 0.585929 0.0381407
\(237\) 5.21391 + 17.8723i 0.338680 + 1.16093i
\(238\) −1.10310 1.91063i −0.0715036 0.123848i
\(239\) 6.56660i 0.424758i 0.977187 + 0.212379i \(0.0681211\pi\)
−0.977187 + 0.212379i \(0.931879\pi\)
\(240\) −0.865610 + 3.77501i −0.0558749 + 0.243676i
\(241\) 9.33253 5.38814i 0.601161 0.347080i −0.168337 0.985729i \(-0.553840\pi\)
0.769498 + 0.638649i \(0.220506\pi\)
\(242\) −7.84618 4.53000i −0.504372 0.291199i
\(243\) 12.1688 + 9.74277i 0.780626 + 0.624999i
\(244\) 4.04082 6.99890i 0.258687 0.448059i
\(245\) 15.4241 27.6227i 0.985407 1.76475i
\(246\) −18.5536 4.53539i −1.18294 0.289166i
\(247\) −11.9431 + 24.3977i −0.759923 + 1.55239i
\(248\) −4.16041 −0.264186
\(249\) 6.72184 + 6.43171i 0.425979 + 0.407593i
\(250\) −9.91395 5.16852i −0.627013 0.326886i
\(251\) −5.05969 + 2.92121i −0.319365 + 0.184385i −0.651109 0.758984i \(-0.725696\pi\)
0.331745 + 0.943369i \(0.392363\pi\)
\(252\) −7.41826 11.6322i −0.467306 0.732757i
\(253\) −5.15818 + 2.97807i −0.324292 + 0.187230i
\(254\) 5.04399i 0.316488i
\(255\) 0.415267 1.81102i 0.0260050 0.113411i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −23.3067 + 13.4561i −1.45383 + 0.839371i −0.998696 0.0510509i \(-0.983743\pi\)
−0.455137 + 0.890422i \(0.650410\pi\)
\(258\) −2.44880 + 10.0177i −0.152456 + 0.623675i
\(259\) 9.52431i 0.591812i
\(260\) 7.13980 + 11.9668i 0.442792 + 0.742149i
\(261\) −6.84670 + 4.36640i −0.423800 + 0.270273i
\(262\) −3.71118 6.42795i −0.229277 0.397120i
\(263\) 3.27942 5.68013i 0.202218 0.350252i −0.747025 0.664796i \(-0.768518\pi\)
0.949243 + 0.314544i \(0.101852\pi\)
\(264\) 1.74308 + 1.66784i 0.107279 + 0.102649i
\(265\) 0.243789 + 16.9967i 0.0149759 + 1.04410i
\(266\) −19.9987 + 1.36948i −1.22620 + 0.0839683i
\(267\) −0.793122 + 3.24455i −0.0485383 + 0.198563i
\(268\) 7.23104 12.5245i 0.441706 0.765057i
\(269\) 10.5970 18.3545i 0.646108 1.11909i −0.337937 0.941169i \(-0.609729\pi\)
0.984045 0.177922i \(-0.0569376\pi\)
\(270\) 2.09495 11.4285i 0.127495 0.695518i
\(271\) 3.82071 6.61767i 0.232092 0.401995i −0.726332 0.687344i \(-0.758776\pi\)
0.958423 + 0.285350i \(0.0921097\pi\)
\(272\) 0.239870 + 0.415466i 0.0145442 + 0.0251914i
\(273\) −48.2189 11.7870i −2.91834 0.713381i
\(274\) 9.51665i 0.574922i
\(275\) −5.92883 + 3.65365i −0.357522 + 0.220323i
\(276\) −7.11031 + 2.07429i −0.427990 + 0.124858i
\(277\) 9.73807i 0.585104i −0.956250 0.292552i \(-0.905496\pi\)
0.956250 0.292552i \(-0.0945044\pi\)
\(278\) 4.32555i 0.259429i
\(279\) 12.4691 0.550335i 0.746505 0.0329477i
\(280\) −5.01332 + 8.97829i −0.299603 + 0.536555i
\(281\) −10.2574 17.7663i −0.611904 1.05985i −0.990919 0.134459i \(-0.957070\pi\)
0.379015 0.925391i \(-0.376263\pi\)
\(282\) 7.65728 8.00269i 0.455984 0.476553i
\(283\) −0.395082 0.228101i −0.0234852 0.0135592i 0.488211 0.872725i \(-0.337649\pi\)
−0.511697 + 0.859166i \(0.670983\pi\)
\(284\) 10.7267 0.636511
\(285\) −13.1202 10.6235i −0.777176 0.629283i
\(286\) 8.68001 0.513260
\(287\) −43.9180 25.3561i −2.59240 1.49672i
\(288\) 1.61310 + 2.52941i 0.0950527 + 0.149047i
\(289\) 8.38493 + 14.5231i 0.493231 + 0.854301i
\(290\) 5.28463 + 2.95085i 0.310324 + 0.173280i
\(291\) 24.2779 7.08261i 1.42320 0.415190i
\(292\) 9.13543i 0.534610i
\(293\) 21.4226i 1.25152i −0.780015 0.625761i \(-0.784788\pi\)
0.780015 0.625761i \(-0.215212\pi\)
\(294\) −6.86310 23.5255i −0.400264 1.37203i
\(295\) 0.671294 + 1.12513i 0.0390842 + 0.0655078i
\(296\) 2.07106i 0.120378i
\(297\) −5.44477 4.76809i −0.315938 0.276673i
\(298\) −5.02075 8.69619i −0.290844 0.503757i
\(299\) −13.3245 + 23.0788i −0.770578 + 1.33468i
\(300\) −8.24072 + 2.66281i −0.475778 + 0.153737i
\(301\) −13.6906 + 23.7127i −0.789110 + 1.36678i
\(302\) 4.26482 7.38688i 0.245413 0.425067i
\(303\) 26.2289 + 6.41159i 1.50681 + 0.368336i
\(304\) 4.34871 0.297794i 0.249416 0.0170796i
\(305\) 18.0692 0.259174i 1.03464 0.0148402i
\(306\) −0.773867 1.21346i −0.0442390 0.0693688i
\(307\) −1.61128 + 2.79083i −0.0919608 + 0.159281i −0.908336 0.418241i \(-0.862647\pi\)
0.816375 + 0.577522i \(0.195980\pi\)
\(308\) 3.20267 + 5.54719i 0.182489 + 0.316081i
\(309\) 18.3046 + 17.5146i 1.04131 + 0.996369i
\(310\) −4.76655 7.98906i −0.270722 0.453748i
\(311\) 18.9599i 1.07512i −0.843227 0.537558i \(-0.819347\pi\)
0.843227 0.537558i \(-0.180653\pi\)
\(312\) 10.4852 + 2.56308i 0.593607 + 0.145106i
\(313\) −21.1307 + 12.1998i −1.19438 + 0.689575i −0.959297 0.282400i \(-0.908869\pi\)
−0.235083 + 0.971975i \(0.575536\pi\)
\(314\) −2.21633 3.83879i −0.125075 0.216635i
\(315\) 13.8377 27.5718i 0.779666 1.55350i
\(316\) 10.7487i 0.604663i
\(317\) 5.31295 3.06743i 0.298405 0.172284i −0.343321 0.939218i \(-0.611552\pi\)
0.641726 + 0.766934i \(0.278219\pi\)
\(318\) 9.51346 + 9.10284i 0.533488 + 0.510462i
\(319\) 3.26509 1.88510i 0.182810 0.105545i
\(320\) 1.09015 1.95233i 0.0609410 0.109138i
\(321\) −7.07368 + 7.39277i −0.394815 + 0.412624i
\(322\) −19.6655 −1.09592
\(323\) −2.08625 + 0.142863i −0.116082 + 0.00794913i
\(324\) −5.16918 7.36747i −0.287176 0.409304i
\(325\) −14.7993 + 27.4205i −0.820919 + 1.52102i
\(326\) 6.65370 11.5245i 0.368514 0.638285i
\(327\) 1.86388 + 6.38906i 0.103073 + 0.353316i
\(328\) 9.54997 + 5.51368i 0.527309 + 0.304442i
\(329\) 25.4679 14.7039i 1.40409 0.810651i
\(330\) −1.20566 + 5.25799i −0.0663693 + 0.289443i
\(331\) 13.0072i 0.714940i 0.933925 + 0.357470i \(0.116361\pi\)
−0.933925 + 0.357470i \(0.883639\pi\)
\(332\) −2.68561 4.65161i −0.147392 0.255290i
\(333\) 0.273958 + 6.20714i 0.0150128 + 0.340149i
\(334\) −10.6939 −0.585144
\(335\) 32.3349 0.463791i 1.76664 0.0253396i
\(336\) 2.23073 + 7.64655i 0.121696 + 0.417153i
\(337\) 4.67204 8.09221i 0.254502 0.440811i −0.710258 0.703941i \(-0.751422\pi\)
0.964760 + 0.263131i \(0.0847551\pi\)
\(338\) 22.3748 12.9181i 1.21703 0.702652i
\(339\) 16.6875 17.4402i 0.906338 0.947223i
\(340\) −0.522986 + 0.936608i −0.0283629 + 0.0507947i
\(341\) −5.79479 −0.313806
\(342\) −12.9941 + 1.46776i −0.702639 + 0.0793671i
\(343\) 32.8748i 1.77507i
\(344\) 2.97701 5.15633i 0.160509 0.278011i
\(345\) −12.1294 11.2771i −0.653025 0.607140i
\(346\) 9.53126 + 16.5086i 0.512403 + 0.887509i
\(347\) −16.1143 + 27.9108i −0.865062 + 1.49833i 0.00192381 + 0.999998i \(0.499388\pi\)
−0.866986 + 0.498333i \(0.833946\pi\)
\(348\) 4.50077 1.31301i 0.241267 0.0703848i
\(349\) 11.9647 0.640457 0.320228 0.947340i \(-0.396240\pi\)
0.320228 + 0.947340i \(0.396240\pi\)
\(350\) −22.9844 + 0.659482i −1.22857 + 0.0352508i
\(351\) −31.7640 6.29478i −1.69544 0.335991i
\(352\) −0.696421 1.20624i −0.0371193 0.0642926i
\(353\) 3.69736 0.196791 0.0983954 0.995147i \(-0.468629\pi\)
0.0983954 + 0.995147i \(0.468629\pi\)
\(354\) 0.985832 + 0.240984i 0.0523964 + 0.0128081i
\(355\) 12.2895 + 20.5980i 0.652257 + 1.09323i
\(356\) 0.964199 1.67004i 0.0511025 0.0885121i
\(357\) −1.07017 3.66835i −0.0566394 0.194150i
\(358\) 9.18682 + 5.30401i 0.485538 + 0.280326i
\(359\) −2.86979 1.65687i −0.151462 0.0874464i 0.422354 0.906431i \(-0.361204\pi\)
−0.573815 + 0.818985i \(0.694537\pi\)
\(360\) −3.00901 + 5.99549i −0.158589 + 0.315990i
\(361\) −7.16828 + 17.5959i −0.377278 + 0.926100i
\(362\) 3.46558 0.182147
\(363\) −11.3382 10.8488i −0.595100 0.569414i
\(364\) 24.8193 + 14.3294i 1.30089 + 0.751067i
\(365\) −17.5424 + 10.4664i −0.918210 + 0.547836i
\(366\) 9.67727 10.1138i 0.505839 0.528657i
\(367\) 13.4156 7.74551i 0.700290 0.404312i −0.107166 0.994241i \(-0.534178\pi\)
0.807455 + 0.589929i \(0.200844\pi\)
\(368\) 4.27626 0.222915
\(369\) −29.3514 15.2617i −1.52797 0.794491i
\(370\) 3.97697 2.37280i 0.206753 0.123356i
\(371\) 17.4797 + 30.2758i 0.907501 + 1.57184i
\(372\) −6.99994 1.71112i −0.362930 0.0887172i
\(373\) 4.72434 0.244617 0.122308 0.992492i \(-0.460970\pi\)
0.122308 + 0.992492i \(0.460970\pi\)
\(374\) 0.334100 + 0.578679i 0.0172759 + 0.0299228i
\(375\) −14.5546 12.7735i −0.751596 0.659623i
\(376\) −5.53798 + 3.19735i −0.285600 + 0.164891i
\(377\) 8.43433 14.6087i 0.434390 0.752386i
\(378\) −7.69717 22.6223i −0.395899 1.16356i
\(379\) 9.54162i 0.490120i 0.969508 + 0.245060i \(0.0788077\pi\)
−0.969508 + 0.245060i \(0.921192\pi\)
\(380\) 5.55413 + 8.00947i 0.284921 + 0.410877i
\(381\) −2.07452 + 8.48658i −0.106281 + 0.434780i
\(382\) −6.16773 + 10.6828i −0.315569 + 0.546581i
\(383\) −3.26903 1.88738i −0.167040 0.0964404i 0.414150 0.910209i \(-0.364079\pi\)
−0.581189 + 0.813768i \(0.697412\pi\)
\(384\) −0.485072 1.66274i −0.0247537 0.0848514i
\(385\) −6.98277 + 12.5053i −0.355875 + 0.637331i
\(386\) 10.7531 6.20828i 0.547316 0.315993i
\(387\) −8.24026 + 15.8477i −0.418876 + 0.805586i
\(388\) −14.6012 −0.741261
\(389\) −17.3261 + 10.0032i −0.878468 + 0.507183i −0.870153 0.492782i \(-0.835980\pi\)
−0.00831472 + 0.999965i \(0.502647\pi\)
\(390\) 7.09103 + 23.0708i 0.359068 + 1.16823i
\(391\) −2.05149 −0.103748
\(392\) 14.1486i 0.714613i
\(393\) −3.60038 12.3414i −0.181615 0.622544i
\(394\) 0.920544 + 0.531476i 0.0463763 + 0.0267754i
\(395\) 20.6403 12.3147i 1.03853 0.619621i
\(396\) 2.24679 + 3.52307i 0.112905 + 0.177041i
\(397\) −24.4000 14.0874i −1.22460 0.707024i −0.258706 0.965956i \(-0.583296\pi\)
−0.965896 + 0.258932i \(0.916630\pi\)
\(398\) 3.09282i 0.155029i
\(399\) −34.2113 5.92100i −1.71271 0.296421i
\(400\) 4.99794 0.143404i 0.249897 0.00717021i
\(401\) −5.25498 + 9.10189i −0.262421 + 0.454527i −0.966885 0.255213i \(-0.917854\pi\)
0.704464 + 0.709740i \(0.251188\pi\)
\(402\) 17.3175 18.0986i 0.863716 0.902678i
\(403\) −22.4536 + 12.9636i −1.11849 + 0.645761i
\(404\) −13.5006 7.79457i −0.671680 0.387795i
\(405\) 8.22516 18.3670i 0.408712 0.912664i
\(406\) 12.4481 0.617789
\(407\) 2.88466i 0.142987i
\(408\) 0.232708 + 0.797682i 0.0115208 + 0.0394911i
\(409\) 0.617398 0.356455i 0.0305284 0.0176256i −0.484658 0.874704i \(-0.661056\pi\)
0.515187 + 0.857078i \(0.327723\pi\)
\(410\) 0.353641 + 24.6554i 0.0174651 + 1.21764i
\(411\) −3.91406 + 16.0119i −0.193066 + 0.789808i
\(412\) −7.31335 12.6671i −0.360303 0.624063i
\(413\) 2.33355 + 1.34727i 0.114826 + 0.0662950i
\(414\) −12.8163 + 0.565659i −0.629887 + 0.0278006i
\(415\) 5.85541 10.4864i 0.287431 0.514756i
\(416\) −5.39696 3.11593i −0.264608 0.152771i
\(417\) −1.77903 + 7.27779i −0.0871197 + 0.356395i
\(418\) 6.05707 0.414779i 0.296261 0.0202875i
\(419\) 27.4307i 1.34008i −0.742325 0.670040i \(-0.766277\pi\)
0.742325 0.670040i \(-0.233723\pi\)
\(420\) −12.1276 + 13.0442i −0.591767 + 0.636490i
\(421\) 9.13416 + 5.27361i 0.445172 + 0.257020i 0.705789 0.708422i \(-0.250593\pi\)
−0.260617 + 0.965442i \(0.583926\pi\)
\(422\) −4.16192 7.20865i −0.202599 0.350912i
\(423\) 16.1748 10.3153i 0.786448 0.501547i
\(424\) −3.80096 6.58345i −0.184591 0.319721i
\(425\) −2.39771 + 0.0687966i −0.116306 + 0.00333713i
\(426\) 18.0477 + 4.41172i 0.874416 + 0.213749i
\(427\) 32.1863 18.5828i 1.55760 0.899283i
\(428\) 5.11591 2.95367i 0.247287 0.142771i
\(429\) 14.6042 + 3.56996i 0.705098 + 0.172359i
\(430\) 13.3122 0.190942i 0.641972 0.00920804i
\(431\) 10.8918 + 18.8652i 0.524640 + 0.908702i 0.999588 + 0.0286889i \(0.00913322\pi\)
−0.474949 + 0.880013i \(0.657533\pi\)
\(432\) 1.67375 + 4.91920i 0.0805282 + 0.236675i
\(433\) 7.67259 + 13.2893i 0.368721 + 0.638644i 0.989366 0.145448i \(-0.0464623\pi\)
−0.620645 + 0.784092i \(0.713129\pi\)
\(434\) −16.5694 9.56637i −0.795359 0.459200i
\(435\) 7.67782 + 7.13833i 0.368123 + 0.342257i
\(436\) 3.84249i 0.184022i
\(437\) −8.19528 + 16.7415i −0.392033 + 0.800856i
\(438\) −3.75727 + 15.3705i −0.179529 + 0.734429i
\(439\) −20.9419 12.0908i −0.999502 0.577063i −0.0914012 0.995814i \(-0.529135\pi\)
−0.908101 + 0.418751i \(0.862468\pi\)
\(440\) 1.51840 2.71928i 0.0723869 0.129637i
\(441\) −1.87156 42.4046i −0.0891221 2.01927i
\(442\) 2.58913 + 1.49484i 0.123153 + 0.0711021i
\(443\) 3.71967 + 6.44266i 0.176727 + 0.306100i 0.940758 0.339080i \(-0.110116\pi\)
−0.764031 + 0.645180i \(0.776782\pi\)
\(444\) 0.851796 3.48458i 0.0404245 0.165371i
\(445\) 4.31159 0.0618427i 0.204389 0.00293162i
\(446\) −9.59556 + 5.54000i −0.454363 + 0.262327i
\(447\) −4.87085 16.6964i −0.230383 0.789713i
\(448\) 4.59876i 0.217271i
\(449\) 12.6975 0.599231 0.299615 0.954060i \(-0.403142\pi\)
0.299615 + 0.954060i \(0.403142\pi\)
\(450\) −14.9603 + 1.09092i −0.705234 + 0.0514263i
\(451\) 13.3016 + 7.67968i 0.626347 + 0.361622i
\(452\) −12.0689 + 6.96798i −0.567673 + 0.327746i
\(453\) 10.2137 10.6745i 0.479883 0.501530i
\(454\) 4.73937 8.20882i 0.222430 0.385259i
\(455\) 0.919075 + 64.0766i 0.0430869 + 3.00396i
\(456\) 7.43924 + 1.28752i 0.348374 + 0.0602937i
\(457\) 4.90753i 0.229565i 0.993391 + 0.114782i \(0.0366170\pi\)
−0.993391 + 0.114782i \(0.963383\pi\)
\(458\) 13.5479 + 7.82189i 0.633052 + 0.365493i
\(459\) −0.802962 2.35994i −0.0374791 0.110152i
\(460\) 4.89927 + 8.21152i 0.228430 + 0.382864i
\(461\) 16.9981 + 9.81383i 0.791678 + 0.457076i 0.840553 0.541729i \(-0.182230\pi\)
−0.0488748 + 0.998805i \(0.515564\pi\)
\(462\) 3.10706 + 10.6504i 0.144553 + 0.495503i
\(463\) 38.5459i 1.79138i 0.444680 + 0.895689i \(0.353317\pi\)
−0.444680 + 0.895689i \(0.646683\pi\)
\(464\) −2.70684 −0.125662
\(465\) −4.73399 15.4021i −0.219533 0.714255i
\(466\) −12.1250 + 7.00038i −0.561681 + 0.324286i
\(467\) −37.1729 −1.72016 −0.860079 0.510161i \(-0.829586\pi\)
−0.860079 + 0.510161i \(0.829586\pi\)
\(468\) 16.5873 + 8.62481i 0.766748 + 0.398682i
\(469\) 57.5973 33.2538i 2.65960 1.53552i
\(470\) −12.4846 6.97117i −0.575870 0.321556i
\(471\) −2.15016 7.37035i −0.0990740 0.339608i
\(472\) −0.507429 0.292964i −0.0233563 0.0134848i
\(473\) 4.14650 7.18195i 0.190656 0.330226i
\(474\) 4.42079 18.0849i 0.203054 0.830665i
\(475\) −9.01693 + 19.8417i −0.413725 + 0.910402i
\(476\) 2.20621i 0.101121i
\(477\) 12.2626 + 19.2284i 0.561468 + 0.880407i
\(478\) 3.28330 5.68684i 0.150175 0.260110i
\(479\) −3.84357 + 2.21908i −0.175617 + 0.101393i −0.585232 0.810866i \(-0.698996\pi\)
0.409615 + 0.912259i \(0.365663\pi\)
\(480\) 2.63715 2.83645i 0.120369 0.129466i
\(481\) −6.45329 11.1774i −0.294245 0.509647i
\(482\) −10.7763 −0.490846
\(483\) −33.0874 8.08813i −1.50553 0.368023i
\(484\) 4.53000 + 7.84618i 0.205909 + 0.356645i
\(485\) −16.7284 28.0380i −0.759598 1.27314i
\(486\) −5.66706 14.5219i −0.257063 0.658725i
\(487\) −1.58405 −0.0717800 −0.0358900 0.999356i \(-0.511427\pi\)
−0.0358900 + 0.999356i \(0.511427\pi\)
\(488\) −6.99890 + 4.04082i −0.316825 + 0.182919i
\(489\) 15.9348 16.6536i 0.720596 0.753102i
\(490\) −27.1690 + 16.2100i −1.22737 + 0.732292i
\(491\) −12.0182 6.93869i −0.542372 0.313139i 0.203668 0.979040i \(-0.434714\pi\)
−0.746040 + 0.665901i \(0.768047\pi\)
\(492\) 13.8002 + 13.2046i 0.622163 + 0.595309i
\(493\) 1.29858 0.0584850
\(494\) 22.5419 15.1575i 1.01421 0.681968i
\(495\) −4.19107 + 8.35077i −0.188374 + 0.375339i
\(496\) 3.60302 + 2.08020i 0.161780 + 0.0934040i
\(497\) 42.7205 + 24.6647i 1.91628 + 1.10636i
\(498\) −2.60543 8.93094i −0.116752 0.400205i
\(499\) 11.7673 20.3816i 0.526778 0.912407i −0.472735 0.881205i \(-0.656733\pi\)
0.999513 0.0312021i \(-0.00993354\pi\)
\(500\) 6.00148 + 9.43304i 0.268394 + 0.421858i
\(501\) −17.9926 4.39824i −0.803850 0.196499i
\(502\) 5.84242 0.260760
\(503\) 12.7244 + 22.0393i 0.567353 + 0.982684i 0.996827 + 0.0796045i \(0.0253657\pi\)
−0.429474 + 0.903079i \(0.641301\pi\)
\(504\) 0.608319 + 13.7829i 0.0270967 + 0.613938i
\(505\) −0.499935 34.8548i −0.0222468 1.55102i
\(506\) 5.95615 0.264783
\(507\) 42.9589 12.5324i 1.90787 0.556584i
\(508\) 2.52200 4.36823i 0.111896 0.193809i
\(509\) 11.5167 + 19.9475i 0.510468 + 0.884157i 0.999926 + 0.0121304i \(0.00386133\pi\)
−0.489458 + 0.872027i \(0.662805\pi\)
\(510\) −1.26514 + 1.36076i −0.0560215 + 0.0602554i
\(511\) −21.0058 + 36.3832i −0.929243 + 1.60950i
\(512\) 1.00000i 0.0441942i
\(513\) −22.4663 2.87475i −0.991913 0.126923i
\(514\) 26.9123 1.18705
\(515\) 15.9452 28.5561i 0.702631 1.25833i
\(516\) 7.12957 7.45118i 0.313862 0.328020i
\(517\) −7.71353 + 4.45341i −0.339241 + 0.195861i
\(518\) 4.76216 8.24830i 0.209237 0.362409i
\(519\) 9.24669 + 31.6960i 0.405885 + 1.39130i
\(520\) −0.199853 13.9335i −0.00876412 0.611022i
\(521\) 3.36747 0.147532 0.0737659 0.997276i \(-0.476498\pi\)
0.0737659 + 0.997276i \(0.476498\pi\)
\(522\) 8.11262 0.358058i 0.355080 0.0156718i
\(523\) −4.73639 8.20368i −0.207108 0.358722i 0.743694 0.668520i \(-0.233072\pi\)
−0.950802 + 0.309798i \(0.899739\pi\)
\(524\) 7.42235i 0.324247i
\(525\) −38.9427 8.34354i −1.69960 0.364142i
\(526\) −5.68013 + 3.27942i −0.247665 + 0.142990i
\(527\) −1.72851 0.997956i −0.0752951 0.0434717i
\(528\) −0.675629 2.31593i −0.0294030 0.100788i
\(529\) 2.35681 4.08212i 0.102470 0.177483i
\(530\) 8.28720 14.8414i 0.359973 0.644671i
\(531\) 1.55956 + 0.810916i 0.0676791 + 0.0351908i
\(532\) 18.0041 + 8.81335i 0.780578 + 0.382107i
\(533\) 68.7210 2.97664
\(534\) 2.30914 2.41330i 0.0999263 0.104434i
\(535\) 11.5331 + 6.43987i 0.498618 + 0.278420i
\(536\) −12.5245 + 7.23104i −0.540977 + 0.312333i
\(537\) 13.2755 + 12.7025i 0.572878 + 0.548152i
\(538\) −18.3545 + 10.5970i −0.791317 + 0.456867i
\(539\) 19.7068i 0.848832i
\(540\) −7.52854 + 8.84992i −0.323977 + 0.380840i
\(541\) −3.84845 6.66571i −0.165458 0.286581i 0.771360 0.636399i \(-0.219577\pi\)
−0.936818 + 0.349818i \(0.886243\pi\)
\(542\) −6.61767 + 3.82071i −0.284253 + 0.164114i
\(543\) 5.83087 + 1.42534i 0.250227 + 0.0611672i
\(544\) 0.479739i 0.0205687i
\(545\) 7.37857 4.40231i 0.316063 0.188574i
\(546\) 35.8653 + 34.3173i 1.53489 + 1.46864i
\(547\) −1.44871 2.50924i −0.0619423 0.107287i 0.833391 0.552683i \(-0.186396\pi\)
−0.895334 + 0.445396i \(0.853063\pi\)
\(548\) 4.75833 8.24166i 0.203266 0.352066i
\(549\) 20.4418 13.0365i 0.872433 0.556383i
\(550\) 6.96134 0.199739i 0.296833 0.00851691i
\(551\) 5.18755 10.5973i 0.220997 0.451458i
\(552\) 7.19485 + 1.75876i 0.306233 + 0.0748579i
\(553\) 24.7154 42.8084i 1.05101 1.82040i
\(554\) −4.86904 + 8.43342i −0.206865 + 0.358302i
\(555\) 7.66719 2.35659i 0.325454 0.100032i
\(556\) 2.16277 3.74604i 0.0917221 0.158867i
\(557\) 15.8962 + 27.5330i 0.673544 + 1.16661i 0.976892 + 0.213732i \(0.0685621\pi\)
−0.303348 + 0.952880i \(0.598105\pi\)
\(558\) −11.0737 5.75794i −0.468788 0.243753i
\(559\) 37.1046i 1.56936i
\(560\) 8.83081 5.26877i 0.373170 0.222646i
\(561\) 0.324126 + 1.11104i 0.0136846 + 0.0469083i
\(562\) 20.5148i 0.865363i
\(563\) 9.81574i 0.413684i 0.978374 + 0.206842i \(0.0663186\pi\)
−0.978374 + 0.206842i \(0.933681\pi\)
\(564\) −10.6327 + 3.10190i −0.447719 + 0.130613i
\(565\) −27.2075 15.1922i −1.14463 0.639142i
\(566\) 0.228101 + 0.395082i 0.00958779 + 0.0166065i
\(567\) −3.64637 41.2279i −0.153133 1.73141i
\(568\) −9.28957 5.36334i −0.389782 0.225041i
\(569\) −36.0591 −1.51167 −0.755837 0.654760i \(-0.772770\pi\)
−0.755837 + 0.654760i \(0.772770\pi\)
\(570\) 6.05070 + 15.7604i 0.253436 + 0.660129i
\(571\) −13.7104 −0.573764 −0.286882 0.957966i \(-0.592619\pi\)
−0.286882 + 0.957966i \(0.592619\pi\)
\(572\) −7.51711 4.34000i −0.314306 0.181465i
\(573\) −14.7710 + 15.4373i −0.617066 + 0.644901i
\(574\) 25.3561 + 43.9180i 1.05834 + 1.83310i
\(575\) −10.1552 + 18.8157i −0.423500 + 0.784671i
\(576\) −0.132279 2.99708i −0.00551162 0.124878i
\(577\) 34.0427i 1.41722i −0.705602 0.708608i \(-0.749323\pi\)
0.705602 0.708608i \(-0.250677\pi\)
\(578\) 16.7699i 0.697534i
\(579\) 20.6455 6.02292i 0.857998 0.250304i
\(580\) −3.10120 5.19783i −0.128770 0.215828i
\(581\) 24.7010i 1.02477i
\(582\) −24.5666 6.00524i −1.01832 0.248925i
\(583\) −5.29413 9.16971i −0.219261 0.379771i
\(584\) 4.56771 7.91151i 0.189013 0.327381i
\(585\) 2.44208 + 41.7333i 0.100967 + 1.72546i
\(586\) −10.7113 + 18.5525i −0.442480 + 0.766398i
\(587\) 12.6616 21.9305i 0.522599 0.905168i −0.477055 0.878873i \(-0.658296\pi\)
0.999654 0.0262946i \(-0.00837079\pi\)
\(588\) −5.81912 + 23.8052i −0.239976 + 0.981711i
\(589\) −15.0490 + 10.1192i −0.620085 + 0.416953i
\(590\) −0.0187904 1.31004i −0.000773589 0.0539336i
\(591\) 1.33024 + 1.27282i 0.0547187 + 0.0523569i
\(592\) −1.03553 + 1.79359i −0.0425600 + 0.0737161i
\(593\) −10.3969 18.0080i −0.426951 0.739500i 0.569650 0.821888i \(-0.307079\pi\)
−0.996600 + 0.0823874i \(0.973746\pi\)
\(594\) 2.33126 + 6.85167i 0.0956529 + 0.281128i
\(595\) −4.23649 + 2.52763i −0.173679 + 0.103623i
\(596\) 10.0415i 0.411316i
\(597\) −1.27203 + 5.20370i −0.0520607 + 0.212973i
\(598\) 23.0788 13.3245i 0.943762 0.544881i
\(599\) −2.18111 3.77780i −0.0891178 0.154357i 0.818021 0.575189i \(-0.195071\pi\)
−0.907138 + 0.420832i \(0.861738\pi\)
\(600\) 8.46808 + 1.81430i 0.345708 + 0.0740685i
\(601\) 5.12913i 0.209221i −0.994513 0.104611i \(-0.966640\pi\)
0.994513 0.104611i \(-0.0333597\pi\)
\(602\) 23.7127 13.6906i 0.966459 0.557985i
\(603\) 36.5805 23.3287i 1.48967 0.950020i
\(604\) −7.38688 + 4.26482i −0.300568 + 0.173533i
\(605\) −9.87672 + 17.6881i −0.401546 + 0.719122i
\(606\) −19.5091 18.6671i −0.792504 0.758297i
\(607\) 3.49534 0.141871 0.0709357 0.997481i \(-0.477401\pi\)
0.0709357 + 0.997481i \(0.477401\pi\)
\(608\) −3.91499 1.91646i −0.158774 0.0777227i
\(609\) 20.9441 + 5.11972i 0.848697 + 0.207462i
\(610\) −15.7780 8.81016i −0.638832 0.356713i
\(611\) −19.9255 + 34.5120i −0.806099 + 1.39621i
\(612\) 0.0634594 + 1.43782i 0.00256519 + 0.0581204i
\(613\) 20.1711 + 11.6458i 0.814705 + 0.470370i 0.848587 0.529056i \(-0.177454\pi\)
−0.0338824 + 0.999426i \(0.510787\pi\)
\(614\) 2.79083 1.61128i 0.112629 0.0650261i
\(615\) −9.54539 + 41.6284i −0.384907 + 1.67862i
\(616\) 6.40535i 0.258079i
\(617\) 19.1437 + 33.1578i 0.770696 + 1.33488i 0.937182 + 0.348840i \(0.113424\pi\)
−0.166486 + 0.986044i \(0.553242\pi\)
\(618\) −7.09500 24.3204i −0.285403 0.978310i
\(619\) 32.6821 1.31360 0.656801 0.754064i \(-0.271909\pi\)
0.656801 + 0.754064i \(0.271909\pi\)
\(620\) 0.133422 + 9.30200i 0.00535836 + 0.373577i
\(621\) −21.7962 4.31943i −0.874652 0.173333i
\(622\) −9.47994 + 16.4197i −0.380111 + 0.658371i
\(623\) 7.68013 4.43412i 0.307698 0.177649i
\(624\) −7.79890 7.46229i −0.312206 0.298730i
\(625\) −11.2380 + 22.3317i −0.449521 + 0.893270i
\(626\) 24.3997 0.975207
\(627\) 10.3617 + 1.79331i 0.413806 + 0.0716180i
\(628\) 4.43265i 0.176882i
\(629\) 0.496785 0.860456i 0.0198081 0.0343086i
\(630\) −25.7697 + 16.9591i −1.02669 + 0.675665i
\(631\) −16.1683 28.0042i −0.643648 1.11483i −0.984612 0.174755i \(-0.944087\pi\)
0.340964 0.940076i \(-0.389247\pi\)
\(632\) −5.37436 + 9.30867i −0.213781 + 0.370279i
\(633\) −4.03766 13.8404i −0.160483 0.550105i
\(634\) −6.13487 −0.243647
\(635\) 11.2776 0.161758i 0.447536 0.00641917i
\(636\) −3.68748 12.6400i −0.146218 0.501209i
\(637\) 44.0862 + 76.3595i 1.74676 + 3.02547i
\(638\) −3.77020 −0.149264
\(639\) 28.5511 + 14.8455i 1.12946 + 0.587281i
\(640\) −1.92026 + 1.14569i −0.0759049 + 0.0452875i
\(641\) −3.96930 + 6.87504i −0.156778 + 0.271548i −0.933705 0.358043i \(-0.883444\pi\)
0.776927 + 0.629591i \(0.216777\pi\)
\(642\) 9.82238 2.86549i 0.387658 0.113092i
\(643\) −13.4682 7.77586i −0.531134 0.306650i 0.210344 0.977627i \(-0.432541\pi\)
−0.741478 + 0.670977i \(0.765875\pi\)
\(644\) 17.0308 + 9.83275i 0.671108 + 0.387465i
\(645\) 22.4765 + 5.15385i 0.885010 + 0.202933i
\(646\) 1.87818 + 0.919402i 0.0738959 + 0.0361734i
\(647\) −21.8361 −0.858465 −0.429232 0.903194i \(-0.641216\pi\)
−0.429232 + 0.903194i \(0.641216\pi\)
\(648\) 0.792902 + 8.96500i 0.0311481 + 0.352179i
\(649\) −0.706768 0.408053i −0.0277431 0.0160175i
\(650\) 26.5268 16.3472i 1.04047 0.641190i
\(651\) −23.9438 22.9103i −0.938430 0.897925i
\(652\) −11.5245 + 6.65370i −0.451336 + 0.260579i
\(653\) −33.4523 −1.30909 −0.654544 0.756024i \(-0.727139\pi\)
−0.654544 + 0.756024i \(0.727139\pi\)
\(654\) 1.58036 6.46503i 0.0617969 0.252803i
\(655\) −14.2528 + 8.50373i −0.556904 + 0.332268i
\(656\) −5.51368 9.54997i −0.215273 0.372864i
\(657\) −12.6433 + 24.3157i −0.493262 + 0.948644i
\(658\) −29.4078 −1.14643
\(659\) −21.0910 36.5306i −0.821587 1.42303i −0.904500 0.426473i \(-0.859756\pi\)
0.0829133 0.996557i \(-0.473578\pi\)
\(660\) 3.67313 3.95073i 0.142976 0.153782i
\(661\) 12.7480 7.36004i 0.495838 0.286272i −0.231155 0.972917i \(-0.574250\pi\)
0.726993 + 0.686645i \(0.240917\pi\)
\(662\) 6.50359 11.2646i 0.252769 0.437809i
\(663\) 3.74144 + 3.57995i 0.145306 + 0.139034i
\(664\) 5.37122i 0.208444i
\(665\) 3.70329 + 44.6700i 0.143607 + 1.73223i
\(666\) 2.86631 5.51252i 0.111067 0.213606i
\(667\) 5.78757 10.0244i 0.224096 0.388145i
\(668\) 9.26118 + 5.34695i 0.358326 + 0.206880i
\(669\) −18.4232 + 5.37460i −0.712281 + 0.207794i
\(670\) −28.2347 15.7658i −1.09080 0.609085i
\(671\) −9.74836 + 5.62822i −0.376331 + 0.217275i
\(672\) 1.89140 7.73747i 0.0729625 0.298479i
\(673\) 20.7866 0.801263 0.400632 0.916239i \(-0.368791\pi\)
0.400632 + 0.916239i \(0.368791\pi\)
\(674\) −8.09221 + 4.67204i −0.311700 + 0.179960i
\(675\) −25.6195 4.31746i −0.986096 0.166179i
\(676\) −25.8362 −0.993700
\(677\) 22.3672i 0.859641i −0.902914 0.429821i \(-0.858577\pi\)
0.902914 0.429821i \(-0.141423\pi\)
\(678\) −23.1719 + 6.75994i −0.889910 + 0.259614i
\(679\) −58.1512 33.5736i −2.23164 1.28844i
\(680\) 0.921223 0.549634i 0.0353273 0.0210775i
\(681\) 11.3502 11.8622i 0.434941 0.454561i
\(682\) 5.01844 + 2.89740i 0.192166 + 0.110947i
\(683\) 39.9738i 1.52956i 0.644294 + 0.764778i \(0.277151\pi\)
−0.644294 + 0.764778i \(0.722849\pi\)
\(684\) 11.9871 + 5.22592i 0.458337 + 0.199818i
\(685\) 21.2777 0.305194i 0.812979 0.0116609i
\(686\) −16.4374 + 28.4704i −0.627583 + 1.08701i
\(687\) 19.5775 + 18.7325i 0.746927 + 0.714688i
\(688\) −5.15633 + 2.97701i −0.196583 + 0.113497i
\(689\) −41.0272 23.6871i −1.56301 0.902406i
\(690\) 4.86581 + 15.8310i 0.185238 + 0.602675i
\(691\) −25.0769 −0.953970 −0.476985 0.878911i \(-0.658270\pi\)
−0.476985 + 0.878911i \(0.658270\pi\)
\(692\) 19.0625i 0.724648i
\(693\) 0.847293 + 19.1974i 0.0321860 + 0.729247i
\(694\) 27.9108 16.1143i 1.05948 0.611691i
\(695\) 9.67123 0.138718i 0.366851 0.00526187i
\(696\) −4.55429 1.11328i −0.172630 0.0421989i
\(697\) 2.64513 + 4.58150i 0.100191 + 0.173537i
\(698\) −10.3618 5.98236i −0.392198 0.226436i
\(699\) −23.2796 + 6.79138i −0.880517 + 0.256874i
\(700\) 20.2348 + 10.9211i 0.764803 + 0.412777i
\(701\) 14.2018 + 8.19942i 0.536395 + 0.309688i 0.743617 0.668606i \(-0.233109\pi\)
−0.207222 + 0.978294i \(0.566442\pi\)
\(702\) 24.3611 + 21.3335i 0.919449 + 0.805179i
\(703\) −5.03734 7.49144i −0.189987 0.282545i
\(704\) 1.39284i 0.0524947i
\(705\) −18.1383 16.8638i −0.683127 0.635127i
\(706\) −3.20201 1.84868i −0.120509 0.0695760i
\(707\) −35.8454 62.0861i −1.34811 2.33499i
\(708\) −0.733263 0.701614i −0.0275577 0.0263683i
\(709\) 8.91758 + 15.4457i 0.334907 + 0.580076i 0.983467 0.181088i \(-0.0579618\pi\)
−0.648560 + 0.761163i \(0.724628\pi\)
\(710\) −0.343998 23.9831i −0.0129100 0.900070i
\(711\) 14.8761 28.6098i 0.557896 1.07295i
\(712\) −1.67004 + 0.964199i −0.0625875 + 0.0361349i
\(713\) −15.4074 + 8.89549i −0.577013 + 0.333139i
\(714\) −0.907381 + 3.71197i −0.0339579 + 0.138917i
\(715\) −0.278363 19.4071i −0.0104102 0.725784i
\(716\) −5.30401 9.18682i −0.198220 0.343327i
\(717\) 7.86310 8.21780i 0.293653 0.306899i
\(718\) 1.65687 + 2.86979i 0.0618339 + 0.107099i
\(719\) 19.2354 + 11.1056i 0.717360 + 0.414168i 0.813780 0.581173i \(-0.197406\pi\)
−0.0964201 + 0.995341i \(0.530739\pi\)
\(720\) 5.60362 3.68774i 0.208835 0.137434i
\(721\) 67.2647i 2.50507i
\(722\) 15.0059 11.6544i 0.558460 0.433730i
\(723\) −18.1312 4.43212i −0.674307 0.164832i
\(724\) −3.00128 1.73279i −0.111542 0.0643986i
\(725\) 6.42815 11.9102i 0.238735 0.442334i
\(726\) 4.39475 + 15.0644i 0.163104 + 0.559093i
\(727\) −21.2331 12.2589i −0.787492 0.454659i 0.0515868 0.998669i \(-0.483572\pi\)
−0.839079 + 0.544010i \(0.816905\pi\)
\(728\) −14.3294 24.8193i −0.531085 0.919866i
\(729\) −3.56227 26.7640i −0.131936 0.991258i
\(730\) 20.4253 0.292968i 0.755976 0.0108432i
\(731\) 2.47369 1.42819i 0.0914929 0.0528234i
\(732\) −13.4377 + 3.92018i −0.496670 + 0.144894i
\(733\) 12.5596i 0.463899i 0.972728 + 0.231949i \(0.0745104\pi\)
−0.972728 + 0.231949i \(0.925490\pi\)
\(734\) −15.4910 −0.571784
\(735\) −52.3791 + 16.0992i −1.93203 + 0.593829i
\(736\) −3.70335 2.13813i −0.136507 0.0788125i
\(737\) −17.4447 + 10.0717i −0.642583 + 0.370995i
\(738\) 17.7882 + 27.8927i 0.654793 + 1.02674i
\(739\) 12.6272 21.8709i 0.464498 0.804534i −0.534681 0.845054i \(-0.679568\pi\)
0.999179 + 0.0405203i \(0.0129016\pi\)
\(740\) −4.63055 + 0.0664177i −0.170223 + 0.00244156i
\(741\) 44.1611 16.2315i 1.62230 0.596279i
\(742\) 34.9594i 1.28340i
\(743\) −4.75202 2.74358i −0.174335 0.100652i 0.410294 0.911954i \(-0.365426\pi\)
−0.584628 + 0.811301i \(0.698760\pi\)
\(744\) 5.20657 + 4.98184i 0.190882 + 0.182643i
\(745\) −19.2823 + 11.5045i −0.706447 + 0.421491i
\(746\) −4.09140 2.36217i −0.149797 0.0864851i
\(747\) −0.710499 16.0980i −0.0259958 0.588994i
\(748\) 0.668201i 0.0244318i
\(749\) 27.1665 0.992641
\(750\) 6.21788 + 18.3395i 0.227045 + 0.669665i
\(751\) −26.3926 + 15.2378i −0.963078 + 0.556034i −0.897119 0.441789i \(-0.854344\pi\)
−0.0659593 + 0.997822i \(0.521011\pi\)
\(752\) 6.39471 0.233191
\(753\) 9.82994 + 2.40290i 0.358223 + 0.0875666i
\(754\) −14.6087 + 8.43433i −0.532017 + 0.307160i
\(755\) −16.6526 9.29855i −0.606052 0.338409i
\(756\) −4.64519 + 23.4400i −0.168944 + 0.852506i
\(757\) −42.0539 24.2798i −1.52847 0.882465i −0.999426 0.0338722i \(-0.989216\pi\)
−0.529047 0.848592i \(-0.677451\pi\)
\(758\) 4.77081 8.26329i 0.173284 0.300136i
\(759\) 10.0213 + 2.44968i 0.363750 + 0.0889176i
\(760\) −0.805279 9.71347i −0.0292105 0.352345i
\(761\) 33.3844i 1.21018i 0.796156 + 0.605092i \(0.206864\pi\)
−0.796156 + 0.605092i \(0.793136\pi\)
\(762\) 6.03987 6.31233i 0.218802 0.228672i
\(763\) 8.83534 15.3033i 0.319861 0.554015i
\(764\) 10.6828 6.16773i 0.386491 0.223141i
\(765\) −2.68828 + 1.76916i −0.0971949 + 0.0639639i
\(766\) 1.88738 + 3.26903i 0.0681937 + 0.118115i
\(767\) −3.65143 −0.131846
\(768\) −0.411285 + 1.68251i −0.0148410 + 0.0607124i
\(769\) 21.7336 + 37.6437i 0.783734 + 1.35747i 0.929753 + 0.368185i \(0.120021\pi\)
−0.146019 + 0.989282i \(0.546646\pi\)
\(770\) 12.2999 7.33856i 0.443258 0.264463i
\(771\) 45.2802 + 11.0686i 1.63073 + 0.398627i
\(772\) −12.4166 −0.446882
\(773\) −21.3590 + 12.3316i −0.768230 + 0.443538i −0.832243 0.554411i \(-0.812943\pi\)
0.0640129 + 0.997949i \(0.479610\pi\)
\(774\) 15.0601 9.60441i 0.541326 0.345223i
\(775\) −17.7094 + 10.9134i −0.636140 + 0.392022i