Properties

Label 570.2.n.a.179.3
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 179.3
Character \(\chi\) \(=\) 570.179
Dual form 570.2.n.a.449.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.66274 - 0.485072i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.14569 + 1.92026i) q^{5} +(1.19744 + 1.25145i) q^{6} -4.59876i q^{7} -1.00000i q^{8} +(2.52941 + 1.61310i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.66274 - 0.485072i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.14569 + 1.92026i) q^{5} +(1.19744 + 1.25145i) q^{6} -4.59876i q^{7} -1.00000i q^{8} +(2.52941 + 1.61310i) q^{9} +(1.95233 - 1.09015i) q^{10} +1.39284i q^{11} +(-0.411285 - 1.68251i) q^{12} +(3.11593 + 5.39696i) q^{13} +(-2.29938 + 3.98265i) q^{14} +(2.83645 - 2.63715i) 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} +(-2.23073 + 7.64655i) q^{21} +(0.696421 - 1.20624i) q^{22} +(-2.13813 - 3.70335i) q^{23} +(-0.485072 + 1.66274i) q^{24} +(-2.37478 - 4.40005i) 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} +(0.675629 - 2.31593i) q^{33} +(-0.415466 + 0.239870i) q^{34} +(8.83081 + 5.26877i) q^{35} +(-0.132279 + 2.99708i) q^{36} -2.07106 q^{37} +(0.297794 + 4.34871i) q^{38} +(-2.56308 - 10.4852i) q^{39} +(1.92026 + 1.14569i) q^{40} +(5.51368 - 9.54997i) q^{41} +(5.75515 - 5.50674i) 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} +(1.25145 - 1.19744i) q^{48} -14.1486 q^{49} +(-0.143404 + 4.99794i) q^{50} +(-0.600372 + 0.574459i) q^{51} +(-3.11593 + 5.39696i) q^{52} +(6.58345 - 3.80096i) q^{53} +(1.01009 + 5.09703i) q^{54} +(-2.67461 - 1.59577i) q^{55} -4.59876 q^{56} +(2.28960 + 7.19428i) q^{57} +2.70684i q^{58} +(-0.292964 + 0.507429i) q^{59} +(3.70206 + 1.13787i) q^{60} +(-4.04082 - 6.99890i) q^{61} +(-2.08020 + 3.60302i) q^{62} +(7.41826 - 11.6322i) q^{63} -1.00000 q^{64} +(-13.9335 - 0.199853i) q^{65} +(-1.74308 + 1.66784i) q^{66} +(7.23104 + 12.5245i) q^{67} +0.479739 q^{68} +(1.75876 + 7.19485i) q^{69} +(-5.01332 - 8.97829i) q^{70} +(-5.36334 + 9.28957i) q^{71} +(1.61310 - 2.52941i) 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} +(-3.02291 + 10.3620i) q^{78} +(-9.30867 - 5.37436i) q^{79} +(-1.09015 - 1.95233i) q^{80} +(3.79583 + 8.16037i) q^{81} +(-9.54997 + 5.51368i) q^{82} -5.37122 q^{83} +(-7.73747 + 1.89140i) q^{84} +(0.522986 + 0.936608i) q^{85} +(2.97701 + 5.15633i) q^{86} +(1.11328 + 4.55429i) q^{87} +1.39284 q^{88} +(0.964199 + 1.67004i) q^{89} +(6.69675 + 0.391869i) q^{90} +(24.8193 - 14.3294i) q^{91} +(2.13813 - 3.70335i) q^{92} +(-2.01810 + 6.91768i) q^{93} +6.39471i q^{94} +(9.73257 - 0.526357i) q^{95} +(-1.68251 + 0.411285i) q^{96} +(7.30058 - 12.6450i) q^{97} +(12.2531 + 7.07431i) q^{98} +(-2.24679 + 3.52307i) 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
\(3\) −1.66274 0.485072i −0.959984 0.280057i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −1.14569 + 1.92026i −0.512369 + 0.858765i
\(6\) 1.19744 + 1.25145i 0.488852 + 0.510904i
\(7\) 4.59876i 1.73817i −0.494664 0.869085i \(-0.664709\pi\)
0.494664 0.869085i \(-0.335291\pi\)
\(8\) 1.00000i 0.353553i
\(9\) 2.52941 + 1.61310i 0.843137 + 0.537699i
\(10\) 1.95233 1.09015i 0.617380 0.344734i
\(11\) 1.39284i 0.419958i 0.977706 + 0.209979i \(0.0673395\pi\)
−0.977706 + 0.209979i \(0.932661\pi\)
\(12\) −0.411285 1.68251i −0.118728 0.485699i
\(13\) 3.11593 + 5.39696i 0.864205 + 1.49685i 0.867835 + 0.496853i \(0.165511\pi\)
−0.00362967 + 0.999993i \(0.501155\pi\)
\(14\) −2.29938 + 3.98265i −0.614536 + 1.06441i
\(15\) 2.83645 2.63715i 0.732369 0.680908i
\(16\) −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
\(21\) −2.23073 + 7.64655i −0.486786 + 1.66861i
\(22\) 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 \(0.980425\pi\)
\(24\) −0.485072 + 1.66274i −0.0990149 + 0.339405i
\(25\) −2.37478 4.40005i −0.474956 0.880010i
\(26\) 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 0.712567 0.701604i \(-0.247533\pi\)
−0.963891 + 0.266299i \(0.914199\pi\)
\(30\) −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
\(33\) 0.675629 2.31593i 0.117612 0.403152i
\(34\) −0.415466 + 0.239870i −0.0712519 + 0.0411373i
\(35\) 8.83081 + 5.26877i 1.49268 + 0.890584i
\(36\) −0.132279 + 2.99708i −0.0220465 + 0.499514i
\(37\) −2.07106 −0.340480 −0.170240 0.985403i \(-0.554454\pi\)
−0.170240 + 0.985403i \(0.554454\pi\)
\(38\) 0.297794 + 4.34871i 0.0483085 + 0.705455i
\(39\) −2.56308 10.4852i −0.410421 1.67897i
\(40\) 1.92026 + 1.14569i 0.303619 + 0.181150i
\(41\) 5.51368 9.54997i 0.861092 1.49145i −0.00978488 0.999952i \(-0.503115\pi\)
0.870876 0.491502i \(-0.163552\pi\)
\(42\) 5.75515 5.50674i 0.888038 0.849708i
\(43\) −5.15633 2.97701i −0.786333 0.453989i 0.0523373 0.998629i \(-0.483333\pi\)
−0.838670 + 0.544640i \(0.816666\pi\)
\(44\) −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 \(0.987776\pi\)
\(48\) 1.25145 1.19744i 0.180632 0.172835i
\(49\) −14.1486 −2.02123
\(50\) −0.143404 + 4.99794i −0.0202804 + 0.706816i
\(51\) −0.600372 + 0.574459i −0.0840689 + 0.0804403i
\(52\) −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 \(0.158481\pi\)
\(54\) 1.01009 + 5.09703i 0.137457 + 0.693618i
\(55\) −2.67461 1.59577i −0.360645 0.215173i
\(56\) −4.59876 −0.614536
\(57\) 2.28960 + 7.19428i 0.303265 + 0.952906i
\(58\) 2.70684i 0.355425i
\(59\) −0.292964 + 0.507429i −0.0381407 + 0.0660617i −0.884466 0.466605i \(-0.845477\pi\)
0.846325 + 0.532667i \(0.178810\pi\)
\(60\) 3.70206 + 1.13787i 0.477934 + 0.146898i
\(61\) −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
\(63\) 7.41826 11.6322i 0.934612 1.46551i
\(64\) −1.00000 −0.125000
\(65\) −13.9335 0.199853i −1.72823 0.0247887i
\(66\) −1.74308 + 1.66784i −0.214558 + 0.205297i
\(67\) 7.23104 + 12.5245i 0.883412 + 1.53011i 0.847523 + 0.530758i \(0.178093\pi\)
0.0358883 + 0.999356i \(0.488574\pi\)
\(68\) 0.479739 0.0581769
\(69\) 1.75876 + 7.19485i 0.211730 + 0.866158i
\(70\) −5.01332 8.97829i −0.599207 1.07311i
\(71\) −5.36334 + 9.28957i −0.636511 + 1.10247i 0.349682 + 0.936868i \(0.386290\pi\)
−0.986193 + 0.165601i \(0.947044\pi\)
\(72\) 1.61310 2.52941i 0.190105 0.298094i
\(73\) −7.91151 4.56771i −0.925972 0.534610i −0.0404369 0.999182i \(-0.512875\pi\)
−0.885536 + 0.464572i \(0.846208\pi\)
\(74\) 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
\(78\) −3.02291 + 10.3620i −0.342277 + 1.17326i
\(79\) −9.30867 5.37436i −1.04731 0.604663i −0.125413 0.992105i \(-0.540026\pi\)
−0.921894 + 0.387442i \(0.873359\pi\)
\(80\) −1.09015 1.95233i −0.121882 0.218277i
\(81\) 3.79583 + 8.16037i 0.421759 + 0.906708i
\(82\) −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
\(85\) 0.522986 + 0.936608i 0.0567258 + 0.101589i
\(86\) 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 0.912593 0.408870i \(-0.134077\pi\)
−0.810388 + 0.585894i \(0.800744\pi\)
\(90\) 6.69675 + 0.391869i 0.705899 + 0.0413066i
\(91\) 24.8193 14.3294i 2.60177 1.50213i
\(92\) 2.13813 3.70335i 0.222915 0.386101i
\(93\) −2.01810 + 6.91768i −0.209267 + 0.717330i
\(94\) 6.39471i 0.659564i
\(95\) 9.73257 0.526357i 0.998541 0.0540031i
\(96\) −1.68251 + 0.411285i −0.171721 + 0.0419766i
\(97\) 7.30058 12.6450i 0.741261 1.28390i −0.210660 0.977559i \(-0.567561\pi\)
0.951921 0.306343i \(-0.0991053\pi\)
\(98\) 12.2531 + 7.07431i 1.23775 + 0.714613i
\(99\) −2.24679 + 3.52307i −0.225811 + 0.354082i
\(100\) 2.62316 4.25664i 0.262316 0.425664i
\(101\) 13.5006 7.79457i 1.34336 0.775589i 0.356061 0.934463i \(-0.384120\pi\)
0.987299 + 0.158874i \(0.0507863\pi\)
\(102\) 0.807167 0.197310i 0.0799214 0.0195366i
\(103\) 14.6267 1.44121 0.720605 0.693345i \(-0.243864\pi\)
0.720605 + 0.693345i \(0.243864\pi\)
\(104\) 5.39696 3.11593i 0.529215 0.305543i
\(105\) −12.1276 13.0442i −1.18353 1.27298i
\(106\) −7.60192 −0.738364
\(107\) 5.90734i 0.571084i −0.958366 0.285542i \(-0.907826\pi\)
0.958366 0.285542i \(-0.0921737\pi\)
\(108\) 1.67375 4.91920i 0.161056 0.473351i
\(109\) −3.32769 1.92124i −0.318735 0.184022i 0.332094 0.943246i \(-0.392245\pi\)
−0.650829 + 0.759225i \(0.725578\pi\)
\(110\) 1.51840 + 2.71928i 0.144774 + 0.259273i
\(111\) 3.44363 + 1.00461i 0.326855 + 0.0953537i
\(112\) 3.98265 + 2.29938i 0.376325 + 0.217271i
\(113\) 13.9360i 1.31098i 0.755202 + 0.655492i \(0.227539\pi\)
−0.755202 + 0.655492i \(0.772461\pi\)
\(114\) 1.61429 7.37523i 0.151192 0.690754i
\(115\) 9.56102 + 0.137137i 0.891570 + 0.0127881i
\(116\) 1.35342 2.34419i 0.125662 0.217653i
\(117\) −0.824345 + 18.6774i −0.0762107 + 1.72673i
\(118\) 0.507429 0.292964i 0.0467126 0.0269696i
\(119\) −1.91063 1.10310i −0.175147 0.101121i
\(120\) −2.63715 2.83645i −0.240737 0.258931i
\(121\) 9.05999 0.823636
\(122\) 8.08164i 0.731677i
\(123\) −13.8002 + 13.2046i −1.24433 + 1.19062i
\(124\) 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 0.955956 0.293510i \(-0.0948234\pi\)
−0.732165 + 0.681127i \(0.761490\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) 7.12957 + 7.45118i 0.627724 + 0.656040i
\(130\) 11.9668 + 7.13980i 1.04956 + 0.626202i
\(131\) −6.42795 3.71118i −0.561612 0.324247i 0.192180 0.981360i \(-0.438444\pi\)
−0.753792 + 0.657113i \(0.771778\pi\)
\(132\) 2.34347 0.572855i 0.203973 0.0498606i
\(133\) −16.6346 + 11.1854i −1.44241 + 0.969894i
\(134\) 14.4621i 1.24933i
\(135\) 11.4285 2.09495i 0.983611 0.180305i
\(136\) −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 \(0.966595\pi\)
\(138\) 2.07429 7.11031i 0.176576 0.605269i
\(139\) −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
\(147\) 23.5255 + 6.86310i 1.94035 + 0.566059i
\(148\) −1.03553 1.79359i −0.0851200 0.147432i
\(149\) −8.69619 5.02075i −0.712420 0.411316i 0.0995366 0.995034i \(-0.468264\pi\)
−0.811956 + 0.583718i \(0.801597\pi\)
\(150\) 2.66281 8.24072i 0.217417 0.672852i
\(151\) 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
\(155\) 7.98906 + 4.76655i 0.641697 + 0.382858i
\(156\) 7.79890 7.46229i 0.624412 0.597461i
\(157\) −3.83879 2.21633i −0.306369 0.176882i 0.338932 0.940811i \(-0.389934\pi\)
−0.645300 + 0.763929i \(0.723268\pi\)
\(158\) 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
\(162\) 0.792902 8.96500i 0.0622962 0.704357i
\(163\) 13.3074i 1.04232i −0.853460 0.521158i \(-0.825500\pi\)
0.853460 0.521158i \(-0.174500\pi\)
\(164\) 11.0274 0.861092
\(165\) 3.67313 + 3.95073i 0.285953 + 0.307564i
\(166\) 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 \(0.197549\pi\)
\(168\) 7.64655 + 2.23073i 0.589944 + 0.172105i
\(169\) −12.9181 + 22.3748i −0.993700 + 1.72114i
\(170\) 0.0153850 1.07262i 0.00117997 0.0822662i
\(171\) −0.317269 13.0728i −0.0242621 0.999706i
\(172\) 5.95401i 0.453989i
\(173\) −16.5086 9.53126i −1.25513 0.724648i −0.283004 0.959119i \(-0.591331\pi\)
−0.972123 + 0.234471i \(0.924664\pi\)
\(174\) 1.31301 4.50077i 0.0995392 0.341202i
\(175\) −20.2348 + 10.9211i −1.52961 + 0.825554i
\(176\) −1.20624 0.696421i −0.0909235 0.0524947i
\(177\) 0.733263 0.701614i 0.0551155 0.0527365i
\(178\) 1.92840i 0.144540i
\(179\) 10.6080 0.792881 0.396440 0.918060i \(-0.370245\pi\)
0.396440 + 0.918060i \(0.370245\pi\)
\(180\) −5.60362 3.68774i −0.417669 0.274868i
\(181\) −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
\(185\) 2.37280 3.97697i 0.174451 0.292393i
\(186\) 5.20657 4.98184i 0.381764 0.365286i
\(187\) 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
\(190\) −8.69183 4.41045i −0.630572 0.319967i
\(191\) 12.3355i 0.892563i 0.894893 + 0.446281i \(0.147252\pi\)
−0.894893 + 0.446281i \(0.852748\pi\)
\(192\) 1.66274 + 0.485072i 0.119998 + 0.0350071i
\(193\) 6.20828 10.7531i 0.446882 0.774022i −0.551300 0.834307i \(-0.685868\pi\)
0.998181 + 0.0602858i \(0.0192012\pi\)
\(194\) −12.6450 + 7.30058i −0.907856 + 0.524151i
\(195\) 23.0708 + 7.09103i 1.65213 + 0.507799i
\(196\) −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 \(0.868297\pi\)
\(200\) −4.40005 + 2.37478i −0.311130 + 0.167922i
\(201\) −5.94804 24.3326i −0.419542 1.71629i
\(202\) −15.5891 −1.09685
\(203\) −10.7804 + 6.22406i −0.756634 + 0.436843i
\(204\) −0.797682 0.232708i −0.0558489 0.0162928i
\(205\) 12.0214 + 21.5290i 0.839613 + 1.50365i
\(206\) −12.6671 7.31335i −0.882558 0.509545i
\(207\) 0.565659 12.8163i 0.0393160 0.890794i
\(208\) −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
\(213\) 13.4239 12.8445i 0.919794 0.880093i
\(214\) −2.95367 + 5.11591i −0.201909 + 0.349716i
\(215\) 11.6242 6.49075i 0.792763 0.442665i
\(216\) −3.90911 + 3.42328i −0.265981 + 0.232925i
\(217\) −19.1327 −1.29882
\(218\) 1.92124 + 3.32769i 0.130123 + 0.225380i
\(219\) 10.9391 + 11.4326i 0.739197 + 0.772542i
\(220\) 0.0446676 3.11417i 0.00301149 0.209957i
\(221\) 2.98967 0.201107
\(222\) −2.47997 2.59184i −0.166445 0.173953i
\(223\) −5.54000 + 9.59556i −0.370986 + 0.642566i −0.989717 0.143036i \(-0.954314\pi\)
0.618732 + 0.785602i \(0.287647\pi\)
\(224\) −2.29938 3.98265i −0.153634 0.266102i
\(225\) 1.09092 14.9603i 0.0727278 0.997352i
\(226\) 6.96798 12.0689i 0.463503 0.802811i
\(227\) 9.47873i 0.629126i 0.949237 + 0.314563i \(0.101858\pi\)
−0.949237 + 0.314563i \(0.898142\pi\)
\(228\) −5.08563 + 5.58000i −0.336804 + 0.369544i
\(229\) −15.6438 −1.03377 −0.516885 0.856055i \(-0.672908\pi\)
−0.516885 + 0.856055i \(0.672908\pi\)
\(230\) −8.21152 4.89927i −0.541451 0.323049i
\(231\) −10.6504 3.10706i −0.700747 0.204429i
\(232\) −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 \(0.0150141\pi\)
\(234\) 10.0526 15.7630i 0.657160 1.03046i
\(235\) 14.2975 + 0.205075i 0.932668 + 0.0133776i
\(236\) −0.585929 −0.0381407
\(237\) 12.8709 + 13.4515i 0.836058 + 0.873772i
\(238\) 1.10310 + 1.91063i 0.0715036 + 0.123848i
\(239\) 6.56660i 0.424758i −0.977187 0.212379i \(-0.931879\pi\)
0.977187 0.212379i \(-0.0681211\pi\)
\(240\) 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
\(243\) −2.35311 15.4098i −0.150952 0.988541i
\(244\) 4.04082 6.99890i 0.258687 0.448059i
\(245\) 16.2100 27.1690i 1.03562 1.73576i
\(246\) 18.5536 4.53539i 1.18294 0.289166i
\(247\) 11.9431 24.3977i 0.759923 1.55239i
\(248\) −4.16041 −0.264186
\(249\) 8.93094 + 2.60543i 0.565975 + 0.165112i
\(250\) −9.43304 6.00148i −0.596598 0.379567i
\(251\) 5.05969 2.92121i 0.319365 0.184385i −0.331745 0.943369i \(-0.607637\pi\)
0.651109 + 0.758984i \(0.274304\pi\)
\(252\) 13.7829 + 0.608319i 0.868239 + 0.0383205i
\(253\) 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
\(260\) −6.79365 12.1666i −0.421324 0.754544i
\(261\) 0.358058 8.11262i 0.0221632 0.502158i
\(262\) 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 \(0.101852\pi\)
\(264\) −2.31593 0.675629i −0.142536 0.0415821i
\(265\) −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 \(0.390271\pi\)
−0.984045 + 0.177922i \(0.943062\pi\)
\(270\) −10.9449 3.89998i −0.666083 0.237345i
\(271\) 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
\(275\) 6.12857 3.30769i 0.369567 0.199461i
\(276\) −5.35154 + 5.12056i −0.322125 + 0.308221i
\(277\) 9.73807i 0.585104i 0.956250 + 0.292552i \(0.0945044\pi\)
−0.956250 + 0.292552i \(0.905496\pi\)
\(278\) 4.32555i 0.259429i
\(279\) 6.71115 10.5234i 0.401786 0.630018i
\(280\) 5.26877 8.83081i 0.314869 0.527742i
\(281\) 10.2574 + 17.7663i 0.611904 + 1.05985i 0.990919 + 0.134459i \(0.0429296\pi\)
−0.379015 + 0.925391i \(0.623737\pi\)
\(282\) 3.10190 10.6327i 0.184715 0.633171i
\(283\) 0.395082 + 0.228101i 0.0234852 + 0.0135592i 0.511697 0.859166i \(-0.329017\pi\)
−0.488211 + 0.872725i \(0.662351\pi\)
\(284\) −10.7267 −0.636511
\(285\) −16.4381 3.84580i −0.973707 0.227806i
\(286\) 8.68001 0.513260
\(287\) −43.9180 25.3561i −2.59240 1.49672i
\(288\) 2.99708 + 0.132279i 0.176605 + 0.00779461i
\(289\) 8.38493 + 14.5231i 0.493231 + 0.854301i
\(290\) −5.19783 3.10120i −0.305227 0.182109i
\(291\) −18.2727 + 17.4840i −1.07116 + 1.02493i
\(292\) 9.13543i 0.534610i
\(293\) 21.4226i 1.25152i −0.780015 0.625761i \(-0.784788\pi\)
0.780015 0.625761i \(-0.215212\pi\)
\(294\) −16.9421 17.7064i −0.988084 1.03266i
\(295\) −0.638748 1.14392i −0.0371893 0.0666019i
\(296\) 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
\(300\) −6.42642 + 5.80527i −0.371029 + 0.335167i
\(301\) −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
\(306\) −1.43782 0.0634594i −0.0821946 0.00362773i
\(307\) 1.61128 2.79083i 0.0919608 0.159281i −0.816375 0.577522i \(-0.804020\pi\)
0.908336 + 0.418241i \(0.137353\pi\)
\(308\) 3.20267 + 5.54719i 0.182489 + 0.316081i
\(309\) −24.3204 7.09500i −1.38354 0.403621i
\(310\) −4.53545 8.12248i −0.257596 0.461326i
\(311\) 18.9599i 1.07512i 0.843227 + 0.537558i \(0.180653\pi\)
−0.843227 + 0.537558i \(0.819347\pi\)
\(312\) −10.4852 + 2.56308i −0.593607 + 0.145106i
\(313\) 21.1307 12.1998i 1.19438 0.689575i 0.235083 0.971975i \(-0.424464\pi\)
0.959297 + 0.282400i \(0.0911306\pi\)
\(314\) 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 \(0.278219\pi\)
\(318\) 12.6400 + 3.68748i 0.708817 + 0.206784i
\(319\) 3.26509 1.88510i 0.182810 0.105545i
\(320\) 1.14569 1.92026i 0.0640461 0.107346i
\(321\) −2.86549 + 9.82238i −0.159936 + 0.548232i
\(322\) 19.6655 1.09592
\(323\) −2.08625 + 0.142863i −0.116082 + 0.00794913i
\(324\) −5.16918 + 7.36747i −0.287176 + 0.409304i
\(325\) 16.3472 26.5268i 0.906780 1.47144i
\(326\) −6.65370 + 11.5245i −0.368514 + 0.638285i
\(327\) 4.60114 + 4.80870i 0.254444 + 0.265922i
\(328\) −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
\(333\) −5.23856 3.34082i −0.287071 0.183076i
\(334\) −10.6939 −0.585144
\(335\) −32.3349 0.463791i −1.76664 0.0253396i
\(336\) −5.50674 5.75515i −0.300417 0.313969i
\(337\) −4.67204 + 8.09221i −0.254502 + 0.440811i −0.964760 0.263131i \(-0.915245\pi\)
0.710258 + 0.703941i \(0.248578\pi\)
\(338\) 22.3748 12.9181i 1.21703 0.702652i
\(339\) 6.75994 23.1719i 0.367150 1.25852i
\(340\) −0.549634 + 0.921223i −0.0298081 + 0.0499603i
\(341\) 5.79479 0.313806
\(342\) −6.26166 + 11.4801i −0.338592 + 0.620770i
\(343\) 32.8748i 1.77507i
\(344\) −2.97701 + 5.15633i −0.160509 + 0.278011i
\(345\) −15.8310 4.86581i −0.852311 0.261966i
\(346\) 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 \(0.833946\pi\)
\(348\) −3.38749 + 3.24127i −0.181588 + 0.173751i
\(349\) 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
\(351\) 10.4306 30.6558i 0.556743 1.63629i
\(352\) 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
\(355\) −11.6936 20.9420i −0.620634 1.11148i
\(356\) −0.964199 + 1.67004i −0.0511025 + 0.0885121i
\(357\) 2.64180 + 2.76097i 0.139819 + 0.146126i
\(358\) −9.18682 5.30401i −0.485538 0.280326i
\(359\) 2.86979 + 1.65687i 0.151462 + 0.0874464i 0.573815 0.818985i \(-0.305463\pi\)
−0.422354 + 0.906431i \(0.638796\pi\)
\(360\) 3.00901 + 5.99549i 0.158589 + 0.315990i
\(361\) −7.16828 + 17.5959i −0.377278 + 0.926100i
\(362\) 3.46558 0.182147
\(363\) −15.0644 4.39475i −0.790677 0.230665i
\(364\) 24.8193 + 14.3294i 1.30089 + 0.751067i
\(365\) 17.8353 9.95895i 0.933545 0.521275i
\(366\) 3.92018 13.4377i 0.204911 0.702398i
\(367\) −13.4156 + 7.74551i −0.700290 + 0.404312i −0.807455 0.589929i \(-0.799156\pi\)
0.107166 + 0.994241i \(0.465822\pi\)
\(368\) 4.27626 0.222915
\(369\) 29.3514 15.2617i 1.52797 0.794491i
\(370\) −4.04339 + 2.25776i −0.210206 + 0.117375i
\(371\) −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 \(-0.539030\pi\)
−0.122308 + 0.992492i \(0.539030\pi\)
\(374\) −0.334100 0.578679i −0.0172759 0.0299228i
\(375\) −18.3395 6.21788i −0.947049 0.321090i
\(376\) −5.53798 + 3.19735i −0.285600 + 0.164891i
\(377\) 8.43433 14.6087i 0.434390 0.752386i
\(378\) 23.4400 4.64519i 1.20563 0.238923i
\(379\) 9.54162i 0.490120i 0.969508 + 0.245060i \(0.0788077\pi\)
−0.969508 + 0.245060i \(0.921192\pi\)
\(380\) 5.32212 + 8.16548i 0.273019 + 0.418880i
\(381\) −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 \(0.697412\pi\)
\(384\) −1.19744 1.25145i −0.0611066 0.0638630i
\(385\) −7.33856 + 12.2999i −0.374007 + 0.626862i
\(386\) −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 0.00831472 0.999965i \(-0.497353\pi\)
0.870153 + 0.492782i \(0.164020\pi\)
\(390\) −16.4344 17.6764i −0.832186 0.895079i
\(391\) −2.05149 −0.103748
\(392\) 14.1486i 0.714613i
\(393\) 8.88782 + 9.28874i 0.448331 + 0.468555i
\(394\) 0.920544 + 0.531476i 0.0463763 + 0.0267754i
\(395\) 20.9850 11.7177i 1.05587 0.589580i
\(396\) −4.17446 0.184244i −0.209775 0.00925859i
\(397\) 24.4000 + 14.0874i 1.22460 + 0.707024i 0.965896 0.258932i \(-0.0833705\pi\)
0.258706 + 0.965956i \(0.416704\pi\)
\(398\) 3.09282i 0.155029i
\(399\) 33.0848 10.5293i 1.65631 0.527127i
\(400\) 4.99794 + 0.143404i 0.249897 + 0.00717021i
\(401\) 5.25498 9.10189i 0.262421 0.454527i −0.704464 0.709740i \(-0.748812\pi\)
0.966885 + 0.255213i \(0.0821457\pi\)
\(402\) −7.01515 + 24.0467i −0.349884 + 1.19934i
\(403\) 22.4536 12.9636i 1.11849 0.645761i
\(404\) 13.5006 + 7.79457i 0.671680 + 0.387795i
\(405\) −20.0189 2.06030i −0.994746 0.102377i
\(406\) 12.4481 0.617789
\(407\) 2.88466i 0.142987i
\(408\) 0.574459 + 0.600372i 0.0284399 + 0.0297229i
\(409\) 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
\(414\) −6.89802 + 10.8164i −0.339019 + 0.531597i
\(415\) 6.15376 10.3141i 0.302076 0.506300i
\(416\) 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 \(0.233723\pi\)
−0.742325 + 0.670040i \(0.766277\pi\)
\(420\) 5.23278 17.0249i 0.255333 0.830730i
\(421\) 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
\(423\) 0.845885 19.1655i 0.0411284 0.931857i
\(424\) −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 \(-0.990867\pi\)
0.474949 0.880013i \(-0.342467\pi\)
\(432\) 5.09703 1.01009i 0.245231 0.0485982i
\(433\) −7.67259 13.2893i −0.368721 0.638644i 0.620645 0.784092i \(-0.286871\pi\)
−0.989366 + 0.145448i \(0.953538\pi\)
\(434\) 16.5694 + 9.56637i 0.795359 + 0.459200i
\(435\) −10.0209 3.08002i −0.480465 0.147676i
\(436\) 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 \(0.862468\pi\)
\(440\) −1.59577 + 2.67461i −0.0760752 + 0.127507i
\(441\) −35.7877 22.8231i −1.70417 1.08682i
\(442\) −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
\(447\) 12.0241 + 12.5665i 0.568720 + 0.594374i
\(448\) 4.59876i 0.217271i
\(449\) −12.6975 −0.599231 −0.299615 0.954060i \(-0.596858\pi\)
−0.299615 + 0.954060i \(0.596858\pi\)
\(450\) −8.42490 + 12.4105i −0.397154 + 0.585038i
\(451\) 13.3016 + 7.67968i 0.626347 + 0.361622i
\(452\) −12.0689 + 6.96798i −0.567673 + 0.327746i
\(453\) 4.13749 14.1826i 0.194396 0.666355i
\(454\) 4.73937 8.20882i 0.222430 0.385259i
\(455\) −0.919075 + 64.0766i −0.0430869 + 3.00396i
\(456\) 7.19428 2.28960i 0.336903 0.107220i
\(457\) 4.90753i 0.229565i −0.993391 0.114782i \(-0.963383\pi\)
0.993391 0.114782i \(-0.0366170\pi\)
\(458\) 13.5479 + 7.82189i 0.633052 + 0.365493i
\(459\) −2.44525 + 0.484582i −0.114134 + 0.0226184i
\(460\) 4.66175 + 8.34865i 0.217355 + 0.389258i
\(461\) −16.9981 9.81383i −0.791678 0.457076i 0.0488748 0.998805i \(-0.484436\pi\)
−0.840553 + 0.541729i \(0.817770\pi\)
\(462\) 7.67001 + 8.01600i 0.356841 + 0.372938i
\(463\) 38.5459i 1.79138i −0.444680 0.895689i \(-0.646683\pi\)
0.444680 0.895689i \(-0.353317\pi\)
\(464\) 2.70684 0.125662
\(465\) −10.9716 11.8008i −0.508796 0.547249i
\(466\) −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
\(470\) −12.2795 7.32637i −0.566411 0.337940i
\(471\) 5.30783 + 5.54726i 0.244572 + 0.255604i
\(472\) 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
\(475\) −10.1398 + 19.2921i −0.465245 + 0.885182i
\(476\) 2.20621i 0.101121i
\(477\) 22.7836 + 1.00557i 1.04319 + 0.0460421i
\(478\) −3.28330 + 5.68684i −0.150175 + 0.260110i
\(479\) 3.84357 2.21908i 0.175617 0.101393i −0.409615 0.912259i \(-0.634337\pi\)
0.585232 + 0.810866i \(0.301004\pi\)
\(480\) 1.13787 3.70206i 0.0519362 0.168975i
\(481\) −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
\(485\) 15.9174 + 28.5062i 0.722771 + 1.29440i
\(486\) −5.66706 + 14.5219i −0.257063 + 0.658725i
\(487\) 1.58405 0.0717800 0.0358900 0.999356i \(-0.488573\pi\)
0.0358900 + 0.999356i \(0.488573\pi\)
\(488\) −6.99890 + 4.04082i −0.316825 + 0.182919i
\(489\) −6.45504 + 22.1267i −0.291907 + 1.00061i
\(490\) −27.6227 + 15.4241i −1.24787 + 0.696788i
\(491\) 12.0182 + 6.93869i 0.542372 + 0.313139i 0.746040 0.665901i \(-0.231953\pi\)
−0.203668 + 0.979040i \(0.565286\pi\)
\(492\) −18.3356 5.34906i −0.826634 0.241154i
\(493\) −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
\(498\) −6.43171 6.72184i −0.288212 0.301213i
\(499\) 11.7673 20.3816i 0.526778 0.912407i −0.472735 0.881205i \(-0.656733\pi\)
0.999513 0.0312021i \(-0.00993354\pi\)
\(500\) 5.16852 + 9.91395i 0.231143 + 0.443365i
\(501\) −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 \(0.641301\pi\)
\(504\) −11.6322 7.41826i −0.518137 0.330435i
\(505\) −0.499935 + 34.8548i −0.0222468 + 1.55102i
\(506\) −5.95615 −0.264783
\(507\) 32.3328 30.9373i 1.43595 1.37397i
\(508\) −2.52200 + 4.36823i −0.111896 + 0.193809i
\(509\) −11.5167 19.9475i −0.510468 0.884157i −0.999926 0.0121304i \(-0.996139\pi\)
0.489458 0.872027i \(-0.337195\pi\)
\(510\) −0.545879 + 1.77602i −0.0241719 + 0.0786437i
\(511\) −21.0058 + 36.3832i −0.929243 + 1.60950i
\(512\) 1.00000i 0.0441942i
\(513\) −5.81374 + 21.8906i −0.256683 + 0.966496i
\(514\) 26.9123 1.18705
\(515\) −16.7577 + 28.0870i −0.738432 + 1.23766i
\(516\) −2.88813 + 9.89998i −0.127143 + 0.435822i
\(517\) 7.71353 4.45341i 0.339241 0.195861i
\(518\) 4.76216 8.24830i 0.209237 0.362409i
\(519\) 22.8262 + 23.8559i 1.00196 + 1.04716i
\(520\) −0.199853 + 13.9335i −0.00876412 + 0.611022i
\(521\) −3.36747 −0.147532 −0.0737659 0.997276i \(-0.523502\pi\)
−0.0737659 + 0.997276i \(0.523502\pi\)
\(522\) −4.36640 + 6.84670i −0.191112 + 0.299672i
\(523\) 4.73639 + 8.20368i 0.207108 + 0.358722i 0.950802 0.309798i \(-0.100261\pi\)
−0.743694 + 0.668520i \(0.766928\pi\)
\(524\) 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
\(528\) 1.66784 + 1.74308i 0.0725835 + 0.0758577i
\(529\) 2.35681 4.08212i 0.102470 0.177483i
\(530\) 8.70946 14.5976i 0.378315 0.634081i
\(531\) −1.55956 + 0.810916i −0.0676791 + 0.0351908i
\(532\) −18.0041 8.81335i −0.780578 0.382107i
\(533\) 68.7210 2.97664
\(534\) −0.935412 + 3.20643i −0.0404793 + 0.138756i
\(535\) 11.3436 + 6.76800i 0.490428 + 0.292606i
\(536\) 12.5245 7.23104i 0.540977 0.312333i
\(537\) −17.6384 5.14566i −0.761152 0.222051i
\(538\) 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
\(545\) 7.50179 4.18887i 0.321341 0.179432i
\(546\) 47.6523 + 13.9016i 2.03933 + 0.594935i
\(547\) 1.44871 + 2.50924i 0.0619423 + 0.107287i 0.895334 0.445396i \(-0.146937\pi\)
−0.833391 + 0.552683i \(0.813604\pi\)
\(548\) 4.75833 8.24166i 0.203266 0.352066i
\(549\) 1.06903 24.2213i 0.0456251 1.03374i
\(550\) −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
\(555\) −5.87446 + 5.46169i −0.249357 + 0.231836i
\(556\) 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
\(560\) −8.97829 + 5.01332i −0.379402 + 0.211852i
\(561\) −0.800130 0.836223i −0.0337815 0.0353054i
\(562\) 20.5148i 0.865363i
\(563\) 9.81574i 0.413684i 0.978374 + 0.206842i \(0.0663186\pi\)
−0.978374 + 0.206842i \(0.933681\pi\)
\(564\) −8.00269 + 7.65728i −0.336974 + 0.322429i
\(565\) −26.7606 15.9663i −1.12583 0.671708i
\(566\) −0.228101 0.395082i −0.00958779 0.0166065i
\(567\) 37.5276 17.4561i 1.57601 0.733088i
\(568\) 9.28957 + 5.36334i 0.389782 + 0.225041i
\(569\) 36.0591 1.51167 0.755837 0.654760i \(-0.227230\pi\)
0.755837 + 0.654760i \(0.227230\pi\)
\(570\) 12.3129 + 11.5496i 0.515730 + 0.483759i
\(571\) −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
\(573\) 5.98359 20.5107i 0.249968 0.856845i
\(574\) 25.3561 + 43.9180i 1.05834 + 1.83310i
\(575\) −11.2173 + 18.2025i −0.467795 + 0.759097i
\(576\) −2.52941 1.61310i −0.105392 0.0672124i
\(577\) 34.0427i 1.41722i 0.705602 + 0.708608i \(0.250677\pi\)
−0.705602 + 0.708608i \(0.749323\pi\)
\(578\) 16.7699i 0.697534i
\(579\) −15.5388 + 14.8681i −0.645769 + 0.617896i
\(580\) 2.95085 + 5.28463i 0.122527 + 0.219433i
\(581\) 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
\(585\) −34.9210 22.9815i −1.44381 0.950169i
\(586\) −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
\(591\) 1.76741 + 0.515609i 0.0727017 + 0.0212093i
\(592\) 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 \(0.973746\pi\)
\(594\) −7.09935 + 1.40690i −0.291290 + 0.0577259i
\(595\) 4.30724 2.40509i 0.176580 0.0985990i
\(596\) 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 0.907138 0.420832i \(-0.138262\pi\)
−0.818021 + 0.575189i \(0.804929\pi\)
\(600\) 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
\(603\) −1.91303 + 43.3440i −0.0779045 + 1.76510i
\(604\) −7.38688 + 4.26482i −0.300568 + 0.173533i
\(605\) −10.3800 + 17.3975i −0.422005 + 0.707310i
\(606\) 25.9207 + 7.56186i 1.05296 + 0.307180i
\(607\) −3.49534 −0.141871 −0.0709357 0.997481i \(-0.522599\pi\)
−0.0709357 + 0.997481i \(0.522599\pi\)
\(608\) −3.91499 1.91646i −0.158774 0.0777227i
\(609\) 20.9441 5.11972i 0.848697 0.207462i
\(610\) −15.5188 9.25906i −0.628339 0.374889i
\(611\) 19.9255 34.5120i 0.806099 1.39621i
\(612\) 1.21346 + 0.773867i 0.0490511 + 0.0312817i
\(613\) −20.1711 11.6458i −0.814705 0.470370i 0.0338824 0.999426i \(-0.489213\pi\)
−0.848587 + 0.529056i \(0.822546\pi\)
\(614\) −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 \(0.553242\pi\)
\(618\) 17.5146 + 18.3046i 0.704539 + 0.736321i
\(619\) 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
\(621\) −7.15737 + 21.0358i −0.287215 + 0.844137i
\(622\) 9.47994 16.4197i 0.380111 0.658371i
\(623\) 7.68013 4.43412i 0.307698 0.177649i
\(624\) 10.3620 + 3.02291i 0.414811 + 0.121013i
\(625\) −13.7208 + 20.8983i −0.548834 + 0.835932i
\(626\) −24.3997 −0.975207
\(627\) −10.0205 + 3.18905i −0.400180 + 0.127359i
\(628\) 4.43265i 0.176882i
\(629\) −0.496785 + 0.860456i −0.0198081 + 0.0343086i
\(630\) 1.80211 30.7968i 0.0717979 1.22697i
\(631\) −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
\(633\) −9.96728 10.4169i −0.396164 0.414035i
\(634\) −6.13487 −0.243647
\(635\) −11.2776 0.161758i −0.447536 0.00641917i
\(636\) −9.10284 9.51346i −0.360951 0.377233i
\(637\) −44.0862 76.3595i −1.74676 3.02547i
\(638\) −3.77020 −0.149264
\(639\) −28.5511 + 14.8455i −1.12946 + 0.587281i
\(640\) −1.95233 + 1.09015i −0.0771725 + 0.0430918i
\(641\) 3.96930 6.87504i 0.156778 0.271548i −0.776927 0.629591i \(-0.783223\pi\)
0.933705 + 0.358043i \(0.116556\pi\)
\(642\) 7.39277 7.07368i 0.291769 0.279176i
\(643\) 13.4682 + 7.77586i 0.531134 + 0.306650i 0.741478 0.670977i \(-0.234125\pi\)
−0.210344 + 0.977627i \(0.567459\pi\)
\(644\) −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 \(0.641216\pi\)
\(648\) 8.16037 3.79583i 0.320570 0.149114i
\(649\) −0.706768 0.408053i −0.0277431 0.0160175i
\(650\) −27.4205 + 14.7993i −1.07552 + 0.580477i
\(651\) 31.8128 + 9.28076i 1.24684 + 0.363742i
\(652\) 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
\(655\) 14.4909 8.09145i 0.566205 0.316159i
\(656\) 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 \(0.140244\pi\)
−0.0829133 + 0.996557i \(0.526422\pi\)
\(660\) −1.58487 + 5.15639i −0.0616909 + 0.200712i
\(661\) 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
\(663\) −4.97105 1.45021i −0.193060 0.0563214i
\(664\) 5.37122i 0.208444i
\(665\) −2.42059 44.7578i −0.0938666 1.73563i
\(666\) 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
\(669\) 13.8661 13.2676i 0.536095 0.512956i
\(670\) 27.7709 + 16.5691i 1.07288 + 0.640119i
\(671\) 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 \(-0.631209\pi\)
−0.400632 + 0.916239i \(0.631209\pi\)
\(674\) 8.09221 4.67204i 0.311700 0.179960i
\(675\) −9.07073 + 24.3459i −0.349132 + 0.937073i
\(676\) −25.8362 −0.993700
\(677\) 22.3672i 0.859641i −0.902914 0.429821i \(-0.858577\pi\)
0.902914 0.429821i \(-0.141423\pi\)
\(678\) −17.4402 + 16.6875i −0.669788 + 0.640878i
\(679\) −58.1512 33.5736i −2.23164 1.28844i
\(680\) 0.936608 0.522986i 0.0359173 0.0200556i
\(681\) 4.59787 15.7607i 0.176191 0.603950i
\(682\) −5.01844 2.89740i −0.192166 0.110947i
\(683\) 39.9738i 1.52956i 0.644294 + 0.764778i \(0.277151\pi\)
−0.644294 + 0.764778i \(0.722849\pi\)
\(684\) 11.1628 6.81119i 0.426820 0.260432i
\(685\) 21.2777 + 0.305194i 0.812979 + 0.0116609i
\(686\) 16.4374 28.4704i 0.627583 1.08701i
\(687\) 26.0115 + 7.58836i 0.992402 + 0.289514i
\(688\) 5.15633 2.97701i 0.196583 0.113497i
\(689\) 41.0272 + 23.6871i 1.56301 + 0.902406i
\(690\) 11.2771 + 12.1294i 0.429313 + 0.461758i
\(691\) −25.0769 −0.953970 −0.476985 0.878911i \(-0.658270\pi\)
−0.476985 + 0.878911i \(0.658270\pi\)
\(692\) 19.0625i 0.724648i
\(693\) 16.2018 + 10.3325i 0.615454 + 0.392497i
\(694\) 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
\(699\) −17.5213 + 16.7651i −0.662717 + 0.634113i
\(700\) −19.5753 12.0633i −0.739877 0.455950i
\(701\) −14.2018 8.19942i −0.536395 0.309688i 0.207222 0.978294i \(-0.433558\pi\)
−0.743617 + 0.668606i \(0.766891\pi\)
\(702\) −24.3611 + 21.3335i −0.919449 + 0.805179i
\(703\) 5.03734 + 7.49144i 0.189987 + 0.282545i
\(704\) 1.39284i 0.0524947i
\(705\) −23.6736 7.27632i −0.891600 0.274042i
\(706\) −3.20201 1.84868i −0.120509 0.0695760i
\(707\) −35.8454 62.0861i −1.34811 2.33499i
\(708\) 0.974247 + 0.284218i 0.0366145 + 0.0106816i
\(709\) 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
\(717\) −3.18527 + 10.9185i −0.118956 + 0.407761i
\(718\) −1.65687 2.86979i −0.0618339 0.107099i
\(719\) −19.2354 11.1056i −0.717360 0.414168i 0.0964201 0.995341i \(-0.469261\pi\)
−0.813780 + 0.581173i \(0.802594\pi\)
\(720\) 0.391869 6.69675i 0.0146041 0.249573i
\(721\) 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
\(725\) −7.10048 + 11.5220i −0.263705 + 0.427918i
\(726\) 10.8488 + 11.3382i 0.402636 + 0.420799i
\(727\) 21.2331 + 12.2589i 0.787492 + 0.454659i 0.839079 0.544010i \(-0.183095\pi\)
−0.0515868 + 0.998669i \(0.516428\pi\)
\(728\) −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
\(732\) −10.1138 + 9.67727i −0.373817 + 0.357682i
\(733\) 12.5596i 0.463899i −0.972728 0.231949i \(-0.925490\pi\)
0.972728 0.231949i \(-0.0745104\pi\)
\(734\) 15.4910 0.571784
\(735\) −40.1319 + 37.3120i −1.48029 + 1.37627i
\(736\) −3.70335 2.13813i −0.136507 0.0788125i
\(737\) −17.4447 + 10.0717i −0.642583 + 0.370995i
\(738\) −33.0499 1.45869i −1.21658 0.0536950i
\(739\) 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
\(741\) −31.6930 + 34.7738i −1.16427 + 1.27745i
\(742\) 34.9594i 1.28340i
\(743\) −4.75202 2.74358i −0.174335 0.100652i 0.410294 0.911954i \(-0.365426\pi\)
−0.584628 + 0.811301i \(0.698760\pi\)
\(744\) 6.91768 + 2.01810i 0.253614 + 0.0739871i
\(745\) 19.6043 10.9467i 0.718245 0.401056i
\(746\) 4.09140 + 2.36217i 0.149797 + 0.0864851i
\(747\) −13.5860 8.66430i −0.497086 0.317010i
\(748\) 0.668201i 0.0244318i
\(749\) −27.1665 −0.992641
\(750\) 12.7735 + 14.5546i 0.466424 + 0.531459i
\(751\) −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
\(755\) −16.3791 9.77234i −0.596097 0.355652i
\(756\) −22.6223 7.69717i −0.822764 0.279943i
\(757\) 42.0539 + 24.2798i 1.52847 + 0.882465i 0.999426 + 0.0338722i \(0.0107839\pi\)
0.529047 + 0.848592i \(0.322549\pi\)
\(758\) 4.77081 8.26329i 0.173284 0.300136i
\(759\) −10.0213 + 2.44968i −0.363750 + 0.0889176i
\(760\) −0.526357 9.73257i −0.0190930 0.353037i
\(761\) 33.3844i 1.21018i −0.796156 0.605092i \(-0.793136\pi\)
0.796156 0.605092i \(-0.206864\pi\)
\(762\) −2.44670 + 8.38685i −0.0886346 + 0.303824i
\(763\) −8.83534 + 15.3033i −0.319861 + 0.554015i
\(764\) −10.6828 + 6.16773i −0.386491 + 0.223141i
\(765\) −0.187995 + 3.21269i −0.00679697 + 0.116155i
\(766\) 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 \(0.546646\pi\)
\(770\) 12.5053 6.98277i 0.450661 0.251641i
\(771\) 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 \(0.479610\pi\)
\(774\) −0.787591 + 17.8447i −0.0283094 + 0.641413i
\(775\) −18.3060 + 9.88006i −0.657571 + 0.354902i
\(776\)