Properties

Label 441.2.bd.a.437.51
Level $441$
Weight $2$
Character 441.437
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bd (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 437.51
Character \(\chi\) \(=\) 441.437
Dual form 441.2.bd.a.110.51

$q$-expansion

\(f(q)\) \(=\) \(q+(2.52537 + 0.189250i) q^{2} +(-0.882430 + 1.49041i) q^{3} +(4.36400 + 0.657768i) q^{4} +(-0.486593 + 2.13190i) q^{5} +(-2.51052 + 3.59683i) q^{6} +(1.52157 - 2.16445i) q^{7} +(5.95832 + 1.35995i) q^{8} +(-1.44263 - 2.63036i) q^{9} +O(q^{10})\) \(q+(2.52537 + 0.189250i) q^{2} +(-0.882430 + 1.49041i) q^{3} +(4.36400 + 0.657768i) q^{4} +(-0.486593 + 2.13190i) q^{5} +(-2.51052 + 3.59683i) q^{6} +(1.52157 - 2.16445i) q^{7} +(5.95832 + 1.35995i) q^{8} +(-1.44263 - 2.63036i) q^{9} +(-1.63229 + 5.29175i) q^{10} +(0.444304 + 0.922606i) q^{11} +(-4.83127 + 5.92371i) q^{12} +(1.89601 + 0.142086i) q^{13} +(4.25214 - 5.17807i) q^{14} +(-2.74802 - 2.60648i) q^{15} +(6.35513 + 1.96030i) q^{16} +(-6.21921 + 0.937394i) q^{17} +(-3.14538 - 6.91565i) q^{18} +(-1.54472 + 0.891846i) q^{19} +(-3.52579 + 8.98357i) q^{20} +(1.88323 + 4.17773i) q^{21} +(0.947427 + 2.41400i) q^{22} +(-2.10802 - 1.68109i) q^{23} +(-7.28469 + 7.68027i) q^{24} +(0.196608 + 0.0946814i) q^{25} +(4.76123 + 0.717640i) q^{26} +(5.19334 + 0.171001i) q^{27} +(8.06384 - 8.44482i) q^{28} +(-1.02994 - 0.404221i) q^{29} +(-6.44649 - 7.10238i) q^{30} +(9.15570 - 5.28605i) q^{31} +(4.29989 + 1.68758i) q^{32} +(-1.76713 - 0.151942i) q^{33} +(-15.8832 + 1.19028i) q^{34} +(3.87400 + 4.29704i) q^{35} +(-4.56549 - 12.4278i) q^{36} +(2.78911 - 7.10654i) q^{37} +(-4.06978 + 1.95990i) q^{38} +(-1.88486 + 2.70045i) q^{39} +(-5.79856 + 12.0408i) q^{40} +(-3.65992 - 3.39591i) q^{41} +(3.96521 + 10.9067i) q^{42} +(-3.77572 + 3.50336i) q^{43} +(1.33208 + 4.31851i) q^{44} +(6.30965 - 1.79564i) q^{45} +(-5.00539 - 4.64432i) q^{46} +(0.598936 - 7.99225i) q^{47} +(-8.52961 + 7.74192i) q^{48} +(-2.36966 - 6.58671i) q^{49} +(0.478589 + 0.276314i) q^{50} +(4.09092 - 10.0963i) q^{51} +(8.18073 + 1.86720i) q^{52} +(7.46143 - 2.92839i) q^{53} +(13.0827 + 1.41468i) q^{54} +(-2.18310 + 0.498279i) q^{55} +(12.0095 - 10.8272i) q^{56} +(0.0338958 - 3.08926i) q^{57} +(-2.52447 - 1.21572i) q^{58} +(-4.58274 + 4.25216i) q^{59} +(-10.2779 - 13.1822i) q^{60} +(-0.860809 - 5.71109i) q^{61} +(24.1219 - 11.6165i) q^{62} +(-7.88835 - 0.879777i) q^{63} +(-1.44453 - 0.695650i) q^{64} +(-1.22550 + 3.97297i) q^{65} +(-4.43389 - 0.718138i) q^{66} +(7.17128 + 12.4210i) q^{67} -27.7572 q^{68} +(4.36570 - 1.65837i) q^{69} +(8.97007 + 11.5848i) q^{70} +(0.496657 + 0.396071i) q^{71} +(-5.01852 - 17.6345i) q^{72} +(5.25437 + 7.70675i) q^{73} +(8.38844 - 17.4188i) q^{74} +(-0.314607 + 0.209476i) q^{75} +(-7.32781 + 2.87595i) q^{76} +(2.67297 + 0.442137i) q^{77} +(-5.27103 + 6.46291i) q^{78} +(-7.99293 + 13.8442i) q^{79} +(-7.27153 + 12.5947i) q^{80} +(-4.83762 + 7.58930i) q^{81} +(-8.59997 - 9.26856i) q^{82} +(0.800072 + 10.6762i) q^{83} +(5.47045 + 19.4704i) q^{84} +(1.02779 - 13.7149i) q^{85} +(-10.1981 + 8.13271i) q^{86} +(1.51130 - 1.17833i) q^{87} +(1.39261 + 6.10142i) q^{88} +(-0.453478 - 6.05125i) q^{89} +(16.2740 - 3.34054i) q^{90} +(3.19244 - 3.88761i) q^{91} +(-8.09366 - 8.72289i) q^{92} +(-0.200903 + 18.3103i) q^{93} +(3.02507 - 20.0700i) q^{94} +(-1.14968 - 3.72717i) q^{95} +(-6.30955 + 4.91942i) q^{96} +(-8.99141 + 5.19119i) q^{97} +(-4.73772 - 17.0823i) q^{98} +(1.78582 - 2.49966i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 18q^{2} - 11q^{3} - 60q^{4} - 15q^{5} - 22q^{6} - 5q^{7} + 13q^{9} + O(q^{10}) \) \( 648q - 18q^{2} - 11q^{3} - 60q^{4} - 15q^{5} - 22q^{6} - 5q^{7} + 13q^{9} - 22q^{10} - 21q^{11} + 24q^{12} - 10q^{13} - 24q^{14} - 10q^{15} + 42q^{16} + 9q^{17} + 12q^{18} - 36q^{19} - 15q^{20} - 38q^{21} - 9q^{22} - 84q^{23} - 38q^{24} - 97q^{25} - 6q^{26} - 20q^{27} - 26q^{28} - 123q^{29} - q^{30} - 6q^{31} - 30q^{32} - 8q^{33} - q^{34} + 70q^{36} - 13q^{37} - 75q^{38} - 24q^{39} - 7q^{40} - 15q^{41} - 133q^{42} - 9q^{43} - 51q^{44} - 41q^{45} - 108q^{46} - 36q^{47} + 15q^{48} + 5q^{49} - 45q^{50} + 10q^{51} - 35q^{52} + 12q^{53} - 50q^{54} + 14q^{55} + 33q^{56} - 7q^{57} + 33q^{58} - 3q^{59} + 180q^{60} + 55q^{61} - 66q^{62} - 20q^{63} + 64q^{64} + 3q^{65} + 285q^{66} + 13q^{67} + 6q^{68} + 82q^{69} + 11q^{70} + 63q^{71} - 21q^{72} - 22q^{73} - 21q^{74} - 107q^{75} + 21q^{76} - 69q^{77} + 63q^{78} + q^{79} + 45q^{80} - 211q^{81} - 28q^{82} + 9q^{83} + 239q^{84} - 10q^{85} - 21q^{86} - 109q^{87} - 29q^{88} - 132q^{89} - 275q^{90} - 13q^{91} + 195q^{92} + 19q^{93} - 4q^{94} - 129q^{95} - 5q^{96} - 3q^{97} - 21q^{98} - 148q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{31}{42}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.52537 + 0.189250i 1.78570 + 0.133820i 0.926133 0.377196i \(-0.123112\pi\)
0.859571 + 0.511016i \(0.170731\pi\)
\(3\) −0.882430 + 1.49041i −0.509471 + 0.860488i
\(4\) 4.36400 + 0.657768i 2.18200 + 0.328884i
\(5\) −0.486593 + 2.13190i −0.217611 + 0.953416i 0.741626 + 0.670813i \(0.234055\pi\)
−0.959237 + 0.282602i \(0.908802\pi\)
\(6\) −2.51052 + 3.59683i −1.02492 + 1.46840i
\(7\) 1.52157 2.16445i 0.575099 0.818084i
\(8\) 5.95832 + 1.35995i 2.10659 + 0.480814i
\(9\) −1.44263 2.63036i −0.480878 0.876788i
\(10\) −1.63229 + 5.29175i −0.516175 + 1.67340i
\(11\) 0.444304 + 0.922606i 0.133963 + 0.278176i 0.957149 0.289594i \(-0.0935204\pi\)
−0.823187 + 0.567771i \(0.807806\pi\)
\(12\) −4.83127 + 5.92371i −1.39467 + 1.71003i
\(13\) 1.89601 + 0.142086i 0.525858 + 0.0394076i 0.335015 0.942213i \(-0.391259\pi\)
0.190843 + 0.981621i \(0.438878\pi\)
\(14\) 4.25214 5.17807i 1.13643 1.38390i
\(15\) −2.74802 2.60648i −0.709536 0.672990i
\(16\) 6.35513 + 1.96030i 1.58878 + 0.490075i
\(17\) −6.21921 + 0.937394i −1.50838 + 0.227352i −0.850581 0.525843i \(-0.823750\pi\)
−0.657797 + 0.753195i \(0.728512\pi\)
\(18\) −3.14538 6.91565i −0.741374 1.63003i
\(19\) −1.54472 + 0.891846i −0.354384 + 0.204604i −0.666614 0.745403i \(-0.732257\pi\)
0.312231 + 0.950006i \(0.398924\pi\)
\(20\) −3.52579 + 8.98357i −0.788391 + 2.00879i
\(21\) 1.88323 + 4.17773i 0.410955 + 0.911656i
\(22\) 0.947427 + 2.41400i 0.201992 + 0.514667i
\(23\) −2.10802 1.68109i −0.439553 0.350532i 0.378572 0.925572i \(-0.376415\pi\)
−0.818125 + 0.575040i \(0.804987\pi\)
\(24\) −7.28469 + 7.68027i −1.48698 + 1.56773i
\(25\) 0.196608 + 0.0946814i 0.0393216 + 0.0189363i
\(26\) 4.76123 + 0.717640i 0.933754 + 0.140741i
\(27\) 5.19334 + 0.171001i 0.999458 + 0.0329091i
\(28\) 8.06384 8.44482i 1.52392 1.59592i
\(29\) −1.02994 0.404221i −0.191255 0.0750619i 0.267781 0.963480i \(-0.413710\pi\)
−0.459035 + 0.888418i \(0.651805\pi\)
\(30\) −6.44649 7.10238i −1.17696 1.29671i
\(31\) 9.15570 5.28605i 1.64441 0.949402i 0.665174 0.746688i \(-0.268357\pi\)
0.979238 0.202714i \(-0.0649762\pi\)
\(32\) 4.29989 + 1.68758i 0.760121 + 0.298326i
\(33\) −1.76713 0.151942i −0.307617 0.0264497i
\(34\) −15.8832 + 1.19028i −2.72394 + 0.204131i
\(35\) 3.87400 + 4.29704i 0.654826 + 0.726332i
\(36\) −4.56549 12.4278i −0.760915 2.07131i
\(37\) 2.78911 7.10654i 0.458527 1.16831i −0.495506 0.868605i \(-0.665017\pi\)
0.954033 0.299703i \(-0.0968875\pi\)
\(38\) −4.06978 + 1.95990i −0.660205 + 0.317938i
\(39\) −1.88486 + 2.70045i −0.301819 + 0.432417i
\(40\) −5.79856 + 12.0408i −0.916832 + 1.90382i
\(41\) −3.65992 3.39591i −0.571584 0.530352i 0.340560 0.940223i \(-0.389383\pi\)
−0.912144 + 0.409871i \(0.865574\pi\)
\(42\) 3.96521 + 10.9067i 0.611846 + 1.68294i
\(43\) −3.77572 + 3.50336i −0.575792 + 0.534257i −0.913418 0.407024i \(-0.866567\pi\)
0.337626 + 0.941280i \(0.390376\pi\)
\(44\) 1.33208 + 4.31851i 0.200819 + 0.651039i
\(45\) 6.30965 1.79564i 0.940588 0.267678i
\(46\) −5.00539 4.64432i −0.738004 0.684768i
\(47\) 0.598936 7.99225i 0.0873638 1.16579i −0.765422 0.643528i \(-0.777470\pi\)
0.852786 0.522260i \(-0.174911\pi\)
\(48\) −8.52961 + 7.74192i −1.23114 + 1.11745i
\(49\) −2.36966 6.58671i −0.338523 0.940958i
\(50\) 0.478589 + 0.276314i 0.0676827 + 0.0390766i
\(51\) 4.09092 10.0963i 0.572843 1.41377i
\(52\) 8.18073 + 1.86720i 1.13446 + 0.258934i
\(53\) 7.46143 2.92839i 1.02491 0.402246i 0.207455 0.978245i \(-0.433482\pi\)
0.817451 + 0.575999i \(0.195387\pi\)
\(54\) 13.0827 + 1.41468i 1.78033 + 0.192514i
\(55\) −2.18310 + 0.498279i −0.294369 + 0.0671879i
\(56\) 12.0095 10.8272i 1.60484 1.44685i
\(57\) 0.0338958 3.08926i 0.00448961 0.409183i
\(58\) −2.52447 1.21572i −0.331479 0.159632i
\(59\) −4.58274 + 4.25216i −0.596621 + 0.553584i −0.919617 0.392817i \(-0.871501\pi\)
0.322995 + 0.946401i \(0.395310\pi\)
\(60\) −10.2779 13.1822i −1.32687 1.70182i
\(61\) −0.860809 5.71109i −0.110215 0.731230i −0.973863 0.227135i \(-0.927064\pi\)
0.863648 0.504095i \(-0.168174\pi\)
\(62\) 24.1219 11.6165i 3.06348 1.47530i
\(63\) −7.88835 0.879777i −0.993838 0.110841i
\(64\) −1.44453 0.695650i −0.180566 0.0869562i
\(65\) −1.22550 + 3.97297i −0.152004 + 0.492786i
\(66\) −4.43389 0.718138i −0.545774 0.0883967i
\(67\) 7.17128 + 12.4210i 0.876112 + 1.51747i 0.855574 + 0.517681i \(0.173205\pi\)
0.0205379 + 0.999789i \(0.493462\pi\)
\(68\) −27.7572 −3.36606
\(69\) 4.36570 1.65837i 0.525568 0.199644i
\(70\) 8.97007 + 11.5848i 1.07213 + 1.38464i
\(71\) 0.496657 + 0.396071i 0.0589423 + 0.0470049i 0.652518 0.757773i \(-0.273713\pi\)
−0.593576 + 0.804778i \(0.702284\pi\)
\(72\) −5.01852 17.6345i −0.591438 2.07824i
\(73\) 5.25437 + 7.70675i 0.614978 + 0.902007i 0.999780 0.0209926i \(-0.00668264\pi\)
−0.384802 + 0.922999i \(0.625730\pi\)
\(74\) 8.38844 17.4188i 0.975137 2.02489i
\(75\) −0.314607 + 0.209476i −0.0363277 + 0.0241883i
\(76\) −7.32781 + 2.87595i −0.840557 + 0.329894i
\(77\) 2.67297 + 0.442137i 0.304613 + 0.0503862i
\(78\) −5.27103 + 6.46291i −0.596827 + 0.731780i
\(79\) −7.99293 + 13.8442i −0.899275 + 1.55759i −0.0708531 + 0.997487i \(0.522572\pi\)
−0.828422 + 0.560104i \(0.810761\pi\)
\(80\) −7.27153 + 12.5947i −0.812982 + 1.40813i
\(81\) −4.83762 + 7.58930i −0.537513 + 0.843255i
\(82\) −8.59997 9.26856i −0.949708 1.02354i
\(83\) 0.800072 + 10.6762i 0.0878193 + 1.17187i 0.850816 + 0.525464i \(0.176108\pi\)
−0.762996 + 0.646403i \(0.776273\pi\)
\(84\) 5.47045 + 19.4704i 0.596875 + 2.12439i
\(85\) 1.02779 13.7149i 0.111479 1.48759i
\(86\) −10.1981 + 8.13271i −1.09969 + 0.876972i
\(87\) 1.51130 1.17833i 0.162029 0.126330i
\(88\) 1.39261 + 6.10142i 0.148453 + 0.650413i
\(89\) −0.453478 6.05125i −0.0480686 0.641431i −0.968257 0.249956i \(-0.919584\pi\)
0.920189 0.391475i \(-0.128035\pi\)
\(90\) 16.2740 3.34054i 1.71543 0.352124i
\(91\) 3.19244 3.88761i 0.334659 0.407533i
\(92\) −8.09366 8.72289i −0.843822 0.909424i
\(93\) −0.200903 + 18.3103i −0.0208327 + 1.89869i
\(94\) 3.02507 20.0700i 0.312012 2.07006i
\(95\) −1.14968 3.72717i −0.117955 0.382399i
\(96\) −6.30955 + 4.91942i −0.643965 + 0.502086i
\(97\) −8.99141 + 5.19119i −0.912940 + 0.527086i −0.881376 0.472416i \(-0.843382\pi\)
−0.0315638 + 0.999502i \(0.510049\pi\)
\(98\) −4.73772 17.0823i −0.478582 1.72557i
\(99\) 1.78582 2.49966i 0.179482 0.251225i
\(100\) 0.795720 + 0.542513i 0.0795720 + 0.0542513i
\(101\) −2.06144 + 9.03175i −0.205121 + 0.898692i 0.762640 + 0.646823i \(0.223903\pi\)
−0.967761 + 0.251870i \(0.918955\pi\)
\(102\) 12.2418 24.7228i 1.21212 2.44792i
\(103\) −16.9224 3.86243i −1.66742 0.380577i −0.718357 0.695675i \(-0.755106\pi\)
−0.949059 + 0.315098i \(0.897963\pi\)
\(104\) 11.1038 + 3.42507i 1.08882 + 0.335856i
\(105\) −9.82288 + 1.98201i −0.958615 + 0.193424i
\(106\) 19.3970 5.98320i 1.88401 0.581139i
\(107\) −10.7735 + 0.807359i −1.04151 + 0.0780503i −0.584486 0.811404i \(-0.698704\pi\)
−0.457024 + 0.889454i \(0.651085\pi\)
\(108\) 22.5513 + 4.16226i 2.17000 + 0.400514i
\(109\) 0.519812 6.93642i 0.0497890 0.664388i −0.915351 0.402656i \(-0.868087\pi\)
0.965140 0.261732i \(-0.0842938\pi\)
\(110\) −5.60743 + 0.845185i −0.534648 + 0.0805852i
\(111\) 8.13044 + 10.4279i 0.771708 + 0.989776i
\(112\) 13.9127 10.7726i 1.31463 1.01792i
\(113\) 4.71422 + 6.91449i 0.443476 + 0.650460i 0.981275 0.192613i \(-0.0616962\pi\)
−0.537798 + 0.843073i \(0.680744\pi\)
\(114\) 0.670242 7.79510i 0.0627739 0.730078i
\(115\) 4.60967 3.67609i 0.429854 0.342797i
\(116\) −4.22877 2.44148i −0.392631 0.226686i
\(117\) −2.36151 5.19217i −0.218321 0.480016i
\(118\) −12.3778 + 9.87098i −1.13947 + 0.908697i
\(119\) −7.43401 + 14.8874i −0.681474 + 1.36473i
\(120\) −12.8289 19.2674i −1.17111 1.75887i
\(121\) 6.20459 7.78031i 0.564054 0.707301i
\(122\) −1.09303 14.5855i −0.0989586 1.32051i
\(123\) 8.29092 2.45812i 0.747567 0.221641i
\(124\) 43.4325 17.0460i 3.90035 1.53078i
\(125\) −7.11453 + 8.92134i −0.636343 + 0.797949i
\(126\) −19.7545 3.71463i −1.75987 0.330926i
\(127\) −8.18139 10.2591i −0.725981 0.910351i 0.272679 0.962105i \(-0.412090\pi\)
−0.998660 + 0.0517539i \(0.983519\pi\)
\(128\) −11.5170 6.64935i −1.01797 0.587725i
\(129\) −1.88962 8.71883i −0.166372 0.767650i
\(130\) −3.84672 + 9.80128i −0.337379 + 0.859629i
\(131\) 0.0335577 + 0.147026i 0.00293195 + 0.0128457i 0.976373 0.216093i \(-0.0693315\pi\)
−0.973441 + 0.228939i \(0.926474\pi\)
\(132\) −7.61181 1.82543i −0.662523 0.158884i
\(133\) −0.420049 + 4.70048i −0.0364228 + 0.407583i
\(134\) 15.7594 + 32.7248i 1.36141 + 2.82699i
\(135\) −2.89160 + 10.9885i −0.248869 + 0.945738i
\(136\) −38.3308 2.87250i −3.28684 0.246315i
\(137\) 0.452922 0.103376i 0.0386957 0.00883205i −0.203129 0.979152i \(-0.565111\pi\)
0.241825 + 0.970320i \(0.422254\pi\)
\(138\) 11.3388 3.36178i 0.965226 0.286174i
\(139\) 4.61732 4.97629i 0.391636 0.422083i −0.506198 0.862417i \(-0.668950\pi\)
0.897834 + 0.440334i \(0.145140\pi\)
\(140\) 14.0797 + 21.3005i 1.18995 + 1.80022i
\(141\) 11.3832 + 7.94526i 0.958637 + 0.669112i
\(142\) 1.17928 + 1.09422i 0.0989634 + 0.0918246i
\(143\) 0.711314 + 1.81240i 0.0594831 + 0.151560i
\(144\) −4.01183 19.5443i −0.334319 1.62869i
\(145\) 1.36292 1.99903i 0.113184 0.166011i
\(146\) 11.8107 + 20.4568i 0.977462 + 1.69301i
\(147\) 11.9079 + 2.28056i 0.982150 + 0.188097i
\(148\) 16.8461 29.1784i 1.38474 2.39845i
\(149\) 5.06202 + 10.5114i 0.414697 + 0.861126i 0.998778 + 0.0494310i \(0.0157408\pi\)
−0.584081 + 0.811695i \(0.698545\pi\)
\(150\) −0.834141 + 0.469466i −0.0681074 + 0.0383317i
\(151\) −10.2253 + 12.8222i −0.832126 + 1.04345i 0.166227 + 0.986088i \(0.446842\pi\)
−0.998353 + 0.0573659i \(0.981730\pi\)
\(152\) −10.4168 + 3.21317i −0.844916 + 0.260622i
\(153\) 11.4377 + 15.0065i 0.924685 + 1.21320i
\(154\) 6.66656 + 1.62242i 0.537207 + 0.130738i
\(155\) 6.81424 + 22.0912i 0.547333 + 1.77441i
\(156\) −10.0018 + 10.5450i −0.800786 + 0.844272i
\(157\) −3.88720 4.18941i −0.310232 0.334351i 0.558619 0.829425i \(-0.311332\pi\)
−0.868851 + 0.495074i \(0.835141\pi\)
\(158\) −22.8051 + 33.4490i −1.81428 + 2.66106i
\(159\) −2.21969 + 13.7047i −0.176033 + 1.08685i
\(160\) −5.69006 + 8.34579i −0.449839 + 0.659793i
\(161\) −6.84614 + 2.00481i −0.539551 + 0.158001i
\(162\) −13.6530 + 18.2502i −1.07268 + 1.43387i
\(163\) −3.76354 + 3.49205i −0.294783 + 0.273519i −0.813674 0.581322i \(-0.802536\pi\)
0.518891 + 0.854841i \(0.326345\pi\)
\(164\) −13.7382 17.2271i −1.07277 1.34521i
\(165\) 1.18380 3.69341i 0.0921585 0.287531i
\(166\) 27.1128i 2.10436i
\(167\) 19.3707 2.91966i 1.49895 0.225930i 0.652252 0.758003i \(-0.273825\pi\)
0.846699 + 0.532072i \(0.178586\pi\)
\(168\) 5.53939 + 27.4534i 0.427374 + 2.11807i
\(169\) −9.28014 1.39876i −0.713857 0.107597i
\(170\) 5.19108 34.4406i 0.398138 2.64147i
\(171\) 4.57435 + 2.77658i 0.349809 + 0.212330i
\(172\) −18.7817 + 12.8051i −1.43209 + 0.976381i
\(173\) −7.90458 20.1405i −0.600974 1.53126i −0.829957 0.557827i \(-0.811635\pi\)
0.228983 0.973430i \(-0.426460\pi\)
\(174\) 4.03959 2.68970i 0.306241 0.203906i
\(175\) 0.504085 0.281483i 0.0381053 0.0212781i
\(176\) 1.01503 + 6.73425i 0.0765104 + 0.507613i
\(177\) −2.29350 10.5824i −0.172390 0.795420i
\(178\) 15.3674i 1.15184i
\(179\) 3.30348 + 21.9172i 0.246914 + 1.63817i 0.677433 + 0.735585i \(0.263092\pi\)
−0.430519 + 0.902582i \(0.641669\pi\)
\(180\) 28.7165 3.68588i 2.14040 0.274729i
\(181\) 3.64287 7.56451i 0.270773 0.562265i −0.720598 0.693353i \(-0.756133\pi\)
0.991371 + 0.131088i \(0.0418470\pi\)
\(182\) 8.79783 9.21349i 0.652138 0.682949i
\(183\) 9.27146 + 3.75669i 0.685366 + 0.277702i
\(184\) −10.2741 12.8833i −0.757416 0.949769i
\(185\) 13.7933 + 9.40410i 1.01410 + 0.691403i
\(186\) −3.97258 + 46.2022i −0.291284 + 3.38771i
\(187\) −3.62806 5.32139i −0.265310 0.389139i
\(188\) 7.87080 34.4842i 0.574037 2.51502i
\(189\) 8.27214 10.9805i 0.601710 0.798715i
\(190\) −2.19799 9.63004i −0.159459 0.698637i
\(191\) 0.470442 0.507016i 0.0340400 0.0366864i −0.715802 0.698303i \(-0.753939\pi\)
0.749842 + 0.661617i \(0.230129\pi\)
\(192\) 2.31150 1.53908i 0.166818 0.111073i
\(193\) 2.78450 0.858904i 0.200433 0.0618252i −0.192913 0.981216i \(-0.561794\pi\)
0.393346 + 0.919391i \(0.371317\pi\)
\(194\) −23.6891 + 11.4080i −1.70078 + 0.819050i
\(195\) −4.83993 5.33236i −0.346594 0.381858i
\(196\) −6.00867 30.3031i −0.429191 2.16451i
\(197\) 1.24663i 0.0888189i −0.999013 0.0444095i \(-0.985859\pi\)
0.999013 0.0444095i \(-0.0141406\pi\)
\(198\) 4.98292 5.97460i 0.354121 0.424596i
\(199\) 7.62567 8.21851i 0.540569 0.582595i −0.402405 0.915462i \(-0.631826\pi\)
0.942974 + 0.332867i \(0.108016\pi\)
\(200\) 1.04269 + 0.831519i 0.0737295 + 0.0587973i
\(201\) −24.8406 0.272554i −1.75212 0.0192245i
\(202\) −6.91515 + 22.4184i −0.486548 + 1.57735i
\(203\) −2.44203 + 1.61419i −0.171397 + 0.113294i
\(204\) 24.4938 41.3696i 1.71491 2.89645i
\(205\) 9.02064 6.15017i 0.630029 0.429546i
\(206\) −42.0044 12.9566i −2.92658 0.902732i
\(207\) −1.38078 + 7.97007i −0.0959709 + 0.553958i
\(208\) 11.7709 + 4.61972i 0.816162 + 0.320320i
\(209\) −1.50915 1.02892i −0.104390 0.0711719i
\(210\) −25.1815 + 3.14632i −1.73769 + 0.217117i
\(211\) 16.9010 11.5229i 1.16351 0.793269i 0.181743 0.983346i \(-0.441826\pi\)
0.981769 + 0.190077i \(0.0608737\pi\)
\(212\) 34.4879 7.87164i 2.36864 0.540626i
\(213\) −1.02857 + 0.390717i −0.0704766 + 0.0267715i
\(214\) −27.3597 −1.87027
\(215\) −5.63158 9.75418i −0.384070 0.665229i
\(216\) 30.7110 + 8.08155i 2.08962 + 0.549880i
\(217\) 2.48966 27.8601i 0.169009 1.89127i
\(218\) 2.62544 17.4186i 0.177817 1.17974i
\(219\) −16.1228 + 1.03049i −1.08948 + 0.0696340i
\(220\) −9.85482 + 0.738516i −0.664412 + 0.0497908i
\(221\) −11.9249 + 0.893644i −0.802153 + 0.0601130i
\(222\) 18.5589 + 27.8731i 1.24559 + 1.87072i
\(223\) −2.98973 + 19.8356i −0.200207 + 1.32829i 0.632494 + 0.774565i \(0.282031\pi\)
−0.832701 + 0.553723i \(0.813207\pi\)
\(224\) 10.1953 6.73912i 0.681200 0.450276i
\(225\) −0.0345866 0.653741i −0.00230578 0.0435827i
\(226\) 10.5966 + 18.3538i 0.704873 + 1.22088i
\(227\) −12.9949 −0.862500 −0.431250 0.902232i \(-0.641927\pi\)
−0.431250 + 0.902232i \(0.641927\pi\)
\(228\) 2.17994 13.4593i 0.144370 0.891361i
\(229\) 22.6846 5.17762i 1.49904 0.342147i 0.607221 0.794533i \(-0.292284\pi\)
0.891822 + 0.452386i \(0.149427\pi\)
\(230\) 12.3368 8.41111i 0.813466 0.554612i
\(231\) −3.01768 + 3.59366i −0.198548 + 0.236446i
\(232\) −5.58698 3.80914i −0.366803 0.250082i
\(233\) −2.71084 1.06393i −0.177593 0.0697002i 0.274878 0.961479i \(-0.411362\pi\)
−0.452472 + 0.891779i \(0.649458\pi\)
\(234\) −4.98105 13.5591i −0.325622 0.886383i
\(235\) 16.7473 + 5.16584i 1.09247 + 0.336982i
\(236\) −22.7960 + 15.5421i −1.48389 + 1.01170i
\(237\) −13.5803 24.1293i −0.882132 1.56736i
\(238\) −21.5911 + 36.1894i −1.39954 + 2.34581i
\(239\) 1.65559 5.36729i 0.107091 0.347181i −0.886128 0.463441i \(-0.846614\pi\)
0.993219 + 0.116260i \(0.0370907\pi\)
\(240\) −12.3546 21.9515i −0.797484 1.41696i
\(241\) 2.19429 + 1.74989i 0.141347 + 0.112720i 0.691611 0.722271i \(-0.256901\pi\)
−0.550264 + 0.834991i \(0.685473\pi\)
\(242\) 17.1413 18.4739i 1.10188 1.18755i
\(243\) −7.04229 13.9071i −0.451763 0.892138i
\(244\) 25.4894i 1.63179i
\(245\) 15.1953 1.84683i 0.970791 0.117990i
\(246\) 21.4028 4.63860i 1.36459 0.295746i
\(247\) −3.05553 + 1.47146i −0.194419 + 0.0936270i
\(248\) 61.7414 19.0447i 3.92058 1.20934i
\(249\) −16.6179 8.22859i −1.05312 0.521466i
\(250\) −19.6552 + 21.1832i −1.24310 + 1.33975i
\(251\) 2.99083 + 13.1037i 0.188780 + 0.827097i 0.977261 + 0.212039i \(0.0680104\pi\)
−0.788482 + 0.615058i \(0.789132\pi\)
\(252\) −33.8461 9.02805i −2.13210 0.568714i
\(253\) 0.614384 2.69179i 0.0386260 0.169231i
\(254\) −18.7195 27.4564i −1.17456 1.72277i
\(255\) 19.5338 + 13.6342i 1.22325 + 0.853809i
\(256\) −25.1769 17.1653i −1.57355 1.07283i
\(257\) −0.794863 0.996727i −0.0495822 0.0621741i 0.756422 0.654084i \(-0.226946\pi\)
−0.806004 + 0.591910i \(0.798374\pi\)
\(258\) −3.12195 22.3759i −0.194364 1.39306i
\(259\) −11.1379 16.8500i −0.692075 1.04701i
\(260\) −7.96137 + 16.5320i −0.493743 + 1.02527i
\(261\) 0.422574 + 3.29225i 0.0261567 + 0.203785i
\(262\) 0.0569209 + 0.377645i 0.00351658 + 0.0233310i
\(263\) 29.4087i 1.81342i 0.421754 + 0.906710i \(0.361414\pi\)
−0.421754 + 0.906710i \(0.638586\pi\)
\(264\) −10.3225 3.30852i −0.635305 0.203625i
\(265\) 2.61237 + 17.3320i 0.160477 + 1.06469i
\(266\) −1.95034 + 11.7909i −0.119583 + 0.722949i
\(267\) 9.41899 + 4.66394i 0.576433 + 0.285428i
\(268\) 23.1254 + 58.9225i 1.41261 + 3.59926i
\(269\) 14.3652 9.79402i 0.875861 0.597152i −0.0397531 0.999210i \(-0.512657\pi\)
0.915614 + 0.402057i \(0.131705\pi\)
\(270\) −9.38192 + 27.2027i −0.570966 + 1.65551i
\(271\) −3.32998 + 22.0930i −0.202282 + 1.34205i 0.625158 + 0.780498i \(0.285034\pi\)
−0.827440 + 0.561554i \(0.810204\pi\)
\(272\) −41.3615 6.23424i −2.50791 0.378006i
\(273\) 2.97702 + 8.18860i 0.180178 + 0.495596i
\(274\) 1.16336 0.175348i 0.0702810 0.0105932i
\(275\) 0.223459i 0.0134751i
\(276\) 20.1427 4.36551i 1.21245 0.262773i
\(277\) 7.41343 + 9.29614i 0.445430 + 0.558551i 0.952965 0.303080i \(-0.0980148\pi\)
−0.507536 + 0.861631i \(0.669443\pi\)
\(278\) 12.6022 11.6931i 0.755829 0.701307i
\(279\) −27.1125 16.4570i −1.62319 0.985254i
\(280\) 17.2388 + 30.8716i 1.03022 + 1.84493i
\(281\) 4.92989 7.23082i 0.294092 0.431354i −0.650546 0.759467i \(-0.725460\pi\)
0.944639 + 0.328112i \(0.106412\pi\)
\(282\) 27.2431 + 22.2190i 1.62230 + 1.32312i
\(283\) −10.7858 + 15.8199i −0.641150 + 0.940394i 0.358826 + 0.933405i \(0.383177\pi\)
−0.999976 + 0.00698944i \(0.997775\pi\)
\(284\) 1.90689 + 2.05514i 0.113153 + 0.121950i
\(285\) 6.56951 + 1.57547i 0.389144 + 0.0933231i
\(286\) 1.45333 + 4.71159i 0.0859374 + 0.278602i
\(287\) −12.9191 + 2.75459i −0.762590 + 0.162598i
\(288\) −1.76421 13.7448i −0.103957 0.809923i
\(289\) 21.5551 6.64886i 1.26795 0.391109i
\(290\) 3.82019 4.79037i 0.224329 0.281300i
\(291\) 0.197298 17.9817i 0.0115658 1.05411i
\(292\) 17.8609 + 37.0884i 1.04523 + 2.17044i
\(293\) 4.42936 7.67187i 0.258766 0.448196i −0.707146 0.707068i \(-0.750018\pi\)
0.965912 + 0.258872i \(0.0833509\pi\)
\(294\) 29.6403 + 8.01282i 1.72866 + 0.467317i
\(295\) −6.83526 11.8390i −0.397964 0.689294i
\(296\) 26.2829 38.5500i 1.52767 2.24067i
\(297\) 2.14965 + 4.86738i 0.124736 + 0.282434i
\(298\) 10.7942 + 27.5031i 0.625290 + 1.59321i
\(299\) −3.75797 3.48689i −0.217329 0.201652i
\(300\) −1.51073 + 0.707218i −0.0872222 + 0.0408312i
\(301\) 1.83781 + 13.5029i 0.105930 + 0.778297i
\(302\) −28.2493 + 30.4455i −1.62557 + 1.75194i
\(303\) −11.6419 11.0423i −0.668811 0.634362i
\(304\) −11.5652 + 2.63968i −0.663310 + 0.151396i
\(305\) 12.5944 + 0.943817i 0.721151 + 0.0540428i
\(306\) 26.0445 + 40.0614i 1.48886 + 2.29016i
\(307\) 7.95085 + 16.5101i 0.453779 + 0.942282i 0.994855 + 0.101308i \(0.0323029\pi\)
−0.541076 + 0.840974i \(0.681983\pi\)
\(308\) 11.3740 + 3.68768i 0.648096 + 0.210125i
\(309\) 20.6895 21.8130i 1.17698 1.24090i
\(310\) 13.0277 + 57.0780i 0.739923 + 3.24181i
\(311\) 7.08483 18.0519i 0.401744 1.02363i −0.576671 0.816976i \(-0.695649\pi\)
0.978415 0.206650i \(-0.0662562\pi\)
\(312\) −14.9031 + 13.5268i −0.843721 + 0.765805i
\(313\) −12.7319 7.35074i −0.719647 0.415488i 0.0949757 0.995480i \(-0.469723\pi\)
−0.814623 + 0.579991i \(0.803056\pi\)
\(314\) −9.02377 11.3154i −0.509241 0.638567i
\(315\) 5.71401 16.3891i 0.321948 0.923421i
\(316\) −43.9875 + 55.1585i −2.47449 + 3.10291i
\(317\) −2.20906 + 0.866993i −0.124073 + 0.0486952i −0.426565 0.904457i \(-0.640277\pi\)
0.302492 + 0.953152i \(0.402181\pi\)
\(318\) −8.19914 + 34.1893i −0.459785 + 1.91724i
\(319\) −0.0846685 1.12982i −0.00474053 0.0632579i
\(320\) 2.18596 2.74110i 0.122199 0.153232i
\(321\) 8.30353 16.7693i 0.463458 0.935970i
\(322\) −17.6684 + 3.76724i −0.984623 + 0.209940i
\(323\) 8.77094 6.99459i 0.488028 0.389189i
\(324\) −26.1034 + 29.9377i −1.45019 + 1.66321i
\(325\) 0.359318 + 0.207452i 0.0199313 + 0.0115074i
\(326\) −10.1652 + 8.10646i −0.562997 + 0.448976i
\(327\) 9.87939 + 6.89564i 0.546332 + 0.381330i
\(328\) −17.1887 25.2112i −0.949089 1.39206i
\(329\) −16.3875 13.4571i −0.903470 0.741915i
\(330\) 3.68850 9.10318i 0.203045 0.501114i
\(331\) −1.82198 + 0.274619i −0.100145 + 0.0150944i −0.198923 0.980015i \(-0.563745\pi\)
0.0987786 + 0.995109i \(0.468506\pi\)
\(332\) −3.53096 + 47.1173i −0.193786 + 2.58590i
\(333\) −22.7164 + 2.91575i −1.24485 + 0.159782i
\(334\) 49.4707 3.70732i 2.70692 0.202855i
\(335\) −29.9699 + 9.24449i −1.63743 + 0.505081i
\(336\) 3.77858 + 30.2417i 0.206138 + 1.64982i
\(337\) 10.8823 + 3.35674i 0.592795 + 0.182853i 0.576615 0.817016i \(-0.304373\pi\)
0.0161800 + 0.999869i \(0.494850\pi\)
\(338\) −23.1711 5.28864i −1.26034 0.287664i
\(339\) −14.4654 + 0.924554i −0.785652 + 0.0502149i
\(340\) 13.5065 59.1757i 0.732491 3.20925i
\(341\) 8.94485 + 6.09850i 0.484391 + 0.330252i
\(342\) 11.0264 + 7.87757i 0.596242 + 0.425970i
\(343\) −17.8622 4.89313i −0.964467 0.264204i
\(344\) −27.2613 + 15.7393i −1.46983 + 0.848609i
\(345\) 1.41116 + 10.1142i 0.0759744 + 0.544530i
\(346\) −16.1504 52.3582i −0.868250 2.81480i
\(347\) 5.33411 35.3895i 0.286350 1.89981i −0.131540 0.991311i \(-0.541992\pi\)
0.417890 0.908498i \(-0.362770\pi\)
\(348\) 7.37039 4.14815i 0.395095 0.222364i
\(349\) −17.7590 19.1396i −0.950616 1.02452i −0.999669 0.0257243i \(-0.991811\pi\)
0.0490530 0.998796i \(-0.484380\pi\)
\(350\) 1.32627 0.615450i 0.0708922 0.0328972i
\(351\) 9.82232 + 1.06212i 0.524276 + 0.0566918i
\(352\) 0.353483 + 4.71691i 0.0188407 + 0.251412i
\(353\) 1.17544 + 5.14995i 0.0625625 + 0.274104i 0.996528 0.0832591i \(-0.0265329\pi\)
−0.933965 + 0.357363i \(0.883676\pi\)
\(354\) −3.78922 27.1584i −0.201395 1.44346i
\(355\) −1.08605 + 0.866099i −0.0576417 + 0.0459678i
\(356\) 2.00133 26.7060i 0.106071 1.41541i
\(357\) −15.6284 24.2168i −0.827141 1.28169i
\(358\) 4.19468 + 55.9741i 0.221696 + 2.95832i
\(359\) 13.8588 + 14.9362i 0.731437 + 0.788302i 0.983788 0.179334i \(-0.0573942\pi\)
−0.252351 + 0.967636i \(0.581204\pi\)
\(360\) 40.0369 2.11818i 2.11013 0.111638i
\(361\) −7.90922 + 13.6992i −0.416275 + 0.721009i
\(362\) 10.6312 18.4137i 0.558762 0.967805i
\(363\) 6.12072 + 16.1130i 0.321254 + 0.845711i
\(364\) 16.4890 14.8657i 0.864258 0.779173i
\(365\) −18.9868 + 7.45176i −0.993813 + 0.390043i
\(366\) 22.7029 + 11.2416i 1.18670 + 0.587610i
\(367\) −5.19899 + 10.7958i −0.271385 + 0.563537i −0.991468 0.130351i \(-0.958389\pi\)
0.720083 + 0.693888i \(0.244104\pi\)
\(368\) −10.1013 14.8159i −0.526568 0.772333i
\(369\) −3.65255 + 14.5260i −0.190144 + 0.756192i
\(370\) 33.0534 + 26.3592i 1.71836 + 1.37035i
\(371\) 5.01472 20.6056i 0.260351 1.06979i
\(372\) −12.9207 + 79.7741i −0.669906 + 4.13609i
\(373\) −18.1804 −0.941348 −0.470674 0.882307i \(-0.655989\pi\)
−0.470674 + 0.882307i \(0.655989\pi\)
\(374\) −8.15512 14.1251i −0.421691 0.730390i
\(375\) −7.01836 18.4760i −0.362427 0.954098i
\(376\) 14.4377 46.8059i 0.744567 2.41383i
\(377\) −1.89534 0.912745i −0.0976147 0.0470088i
\(378\) 22.9683 26.1643i 1.18136 1.34575i
\(379\) 16.4781 7.93543i 0.846423 0.407616i 0.0401741 0.999193i \(-0.487209\pi\)
0.806248 + 0.591577i \(0.201494\pi\)
\(380\) −2.56559 17.0216i −0.131612 0.873189i
\(381\) 22.5098 3.14063i 1.15321 0.160899i
\(382\) 1.28399 1.19137i 0.0656947 0.0609558i
\(383\) 23.3574 + 11.2484i 1.19351 + 0.574764i 0.921819 0.387621i \(-0.126703\pi\)
0.271691 + 0.962385i \(0.412417\pi\)
\(384\) 20.0732 11.2975i 1.02436 0.576521i
\(385\) −2.24324 + 5.48337i −0.114326 + 0.279458i
\(386\) 7.19443 1.64208i 0.366187 0.0835797i
\(387\) 14.6621 + 4.87746i 0.745315 + 0.247935i
\(388\) −42.6532 + 16.7401i −2.16539 + 0.849852i
\(389\) 22.0985 + 5.04384i 1.12044 + 0.255733i 0.742334 0.670030i \(-0.233719\pi\)
0.378105 + 0.925763i \(0.376576\pi\)
\(390\) −11.2134 14.3821i −0.567815 0.728267i
\(391\) 14.6861 + 8.47901i 0.742707 + 0.428802i
\(392\) −5.16160 42.4684i −0.260700 2.14498i
\(393\) −0.248741 0.0797255i −0.0125473 0.00402162i
\(394\) 0.235925 3.14821i 0.0118858 0.158604i
\(395\) −25.6251 23.7766i −1.28934 1.19633i
\(396\) 9.43753 9.73388i 0.474254 0.489146i
\(397\) −3.26732 10.5924i −0.163982 0.531616i 0.835868 0.548930i \(-0.184965\pi\)
−0.999850 + 0.0173140i \(0.994489\pi\)
\(398\) 20.8130 19.3116i 1.04326 0.968004i
\(399\) −6.63496 4.77389i −0.332164 0.238993i
\(400\) 1.06387 + 0.987124i 0.0531933 + 0.0493562i
\(401\) 4.96933 10.3189i 0.248156 0.515302i −0.739265 0.673415i \(-0.764827\pi\)
0.987421 + 0.158113i \(0.0505410\pi\)
\(402\) −62.6800 5.38938i −3.12619 0.268798i
\(403\) 18.1104 8.72149i 0.902141 0.434448i
\(404\) −14.9369 + 38.0586i −0.743139 + 1.89349i
\(405\) −13.8257 14.0062i −0.687004 0.695975i
\(406\) −6.47252 + 3.61428i −0.321226 + 0.179374i
\(407\) 7.79575 0.584210i 0.386421 0.0289582i
\(408\) 38.1055 54.5938i 1.88650 2.70280i
\(409\) 7.82998 + 3.07304i 0.387168 + 0.151952i 0.550938 0.834546i \(-0.314270\pi\)
−0.163770 + 0.986499i \(0.552365\pi\)
\(410\) 23.9444 13.8243i 1.18253 0.682733i
\(411\) −0.245599 + 0.766261i −0.0121145 + 0.0377969i
\(412\) −71.3090 27.9867i −3.51314 1.37881i
\(413\) 2.23062 + 16.3890i 0.109762 + 0.806452i
\(414\) −4.99531 + 19.8660i −0.245506 + 0.976362i
\(415\) −23.1500 3.48930i −1.13639 0.171283i
\(416\) 7.91285 + 3.81063i 0.387960 + 0.186831i
\(417\) 3.34223 + 11.2729i 0.163670 + 0.552037i
\(418\) −3.61643 2.88401i −0.176886 0.141062i
\(419\) 3.15577 + 8.04077i 0.154169 + 0.392817i 0.987002 0.160708i \(-0.0513776\pi\)
−0.832833 + 0.553525i \(0.813282\pi\)
\(420\) −44.1708 + 2.18832i −2.15532 + 0.106779i
\(421\) 6.08958 15.5160i 0.296788 0.756204i −0.702232 0.711948i \(-0.747813\pi\)
0.999020 0.0442557i \(-0.0140916\pi\)
\(422\) 44.8619 25.9010i 2.18384 1.26084i
\(423\) −21.8866 + 9.95446i −1.06416 + 0.484002i
\(424\) 48.4401 7.30116i 2.35246 0.354576i
\(425\) −1.31150 0.404544i −0.0636171 0.0196233i
\(426\) −2.67147 + 0.792046i −0.129433 + 0.0383747i
\(427\) −13.6711 6.82664i −0.661593 0.330364i
\(428\) −47.5465 3.56312i −2.29825 0.172230i
\(429\) −3.32890 0.539168i −0.160721 0.0260313i
\(430\) −12.3758 25.6987i −0.596815 1.23930i
\(431\) 0.351694 1.14016i 0.0169405 0.0549198i −0.946708 0.322093i \(-0.895614\pi\)
0.963648 + 0.267174i \(0.0860897\pi\)
\(432\) 32.6691 + 11.2672i 1.57180 + 0.542095i
\(433\) −16.6450 3.79910i −0.799906 0.182573i −0.197019 0.980400i \(-0.563126\pi\)
−0.602887 + 0.797826i \(0.705983\pi\)
\(434\) 11.5598 69.8858i 0.554890 3.35463i
\(435\) 1.77670 + 3.79531i 0.0851861 + 0.181971i
\(436\) 6.83102 29.9286i 0.327146 1.43332i
\(437\) 4.75559 + 0.716790i 0.227491 + 0.0342887i
\(438\) −40.9111 0.448882i −1.95481 0.0214484i
\(439\) 13.5010 + 1.01176i 0.644365 + 0.0482885i 0.392905 0.919579i \(-0.371470\pi\)
0.251460 + 0.967868i \(0.419089\pi\)
\(440\) −13.6853 −0.652419
\(441\) −13.9069 + 15.7353i −0.662233 + 0.749298i
\(442\) −30.2838 −1.44045
\(443\) −2.53601 0.190047i −0.120489 0.00902943i 0.0143489 0.999897i \(-0.495432\pi\)
−0.134838 + 0.990868i \(0.543051\pi\)
\(444\) 28.6221 + 50.8555i 1.35835 + 2.41350i
\(445\) 13.1213 + 1.97772i 0.622011 + 0.0937530i
\(446\) −11.3041 + 49.5263i −0.535263 + 2.34514i
\(447\) −20.1331 1.73110i −0.952265 0.0818781i
\(448\) −3.70365 + 2.06813i −0.174981 + 0.0977101i
\(449\) −33.2302 7.58457i −1.56823 0.357938i −0.651881 0.758321i \(-0.726020\pi\)
−0.916348 + 0.400383i \(0.868877\pi\)
\(450\) 0.0363766 1.65748i 0.00171481 0.0781344i
\(451\) 1.50697 4.88548i 0.0709605 0.230048i
\(452\) 16.0247 + 33.2757i 0.753741 + 1.56516i
\(453\) −10.0871 26.5546i −0.473934 1.24764i
\(454\) −32.8168 2.45928i −1.54017 0.115420i
\(455\) 6.73460 + 8.69767i 0.315723 + 0.407753i
\(456\) 4.40320 18.3607i 0.206199 0.859819i
\(457\) 25.3846 + 7.83010i 1.18744 + 0.366277i 0.824677 0.565604i \(-0.191357\pi\)
0.362764 + 0.931881i \(0.381833\pi\)
\(458\) 58.2669 8.78233i 2.72263 0.410371i
\(459\) −32.4587 + 3.80472i −1.51504 + 0.177589i
\(460\) 22.5347 13.0104i 1.05068 0.606613i
\(461\) 1.56895 3.99762i 0.0730733 0.186188i −0.889670 0.456603i \(-0.849066\pi\)
0.962744 + 0.270416i \(0.0871611\pi\)
\(462\) −8.30084 + 8.50422i −0.386190 + 0.395652i
\(463\) 6.34789 + 16.1741i 0.295011 + 0.751676i 0.999134 + 0.0415986i \(0.0132451\pi\)
−0.704123 + 0.710078i \(0.748660\pi\)
\(464\) −5.75300 4.58786i −0.267076 0.212986i
\(465\) −38.9380 9.33797i −1.80571 0.433038i
\(466\) −6.64452 3.19983i −0.307802 0.148229i
\(467\) 8.20392 + 1.23654i 0.379632 + 0.0572203i 0.336087 0.941831i \(-0.390897\pi\)
0.0435456 + 0.999051i \(0.486135\pi\)
\(468\) −6.89038 24.2120i −0.318508 1.11920i
\(469\) 37.7962 + 3.37759i 1.74527 + 0.155962i
\(470\) 41.3153 + 16.2151i 1.90573 + 0.747946i
\(471\) 9.67411 2.09666i 0.445759 0.0966088i
\(472\) −33.0881 + 19.1034i −1.52301 + 0.879307i
\(473\) −4.90978 1.92695i −0.225752 0.0886012i
\(474\) −29.7287 63.5053i −1.36548 2.91689i
\(475\) −0.388146 + 0.0290875i −0.0178094 + 0.00133463i
\(476\) −42.2345 + 60.0790i −1.93582 + 2.75372i
\(477\) −18.4668 15.4017i −0.845538 0.705194i
\(478\) 5.19673 13.2411i 0.237693 0.605632i
\(479\) 15.1328 7.28758i 0.691436 0.332978i −0.0549522 0.998489i \(-0.517501\pi\)
0.746388 + 0.665511i \(0.231786\pi\)
\(480\) −7.41755 15.8451i −0.338563 0.723226i
\(481\) 6.29792 13.0778i 0.287160 0.596295i
\(482\) 5.21022 + 4.83438i 0.237319 + 0.220200i
\(483\) 3.05326 11.9726i 0.138928 0.544774i
\(484\) 32.1945 29.8721i 1.46339 1.35782i
\(485\) −6.69196 21.6948i −0.303866 0.985111i
\(486\) −15.1524 36.4532i −0.687329 1.65355i
\(487\) −1.99567 1.85171i −0.0904324 0.0839090i 0.633661 0.773611i \(-0.281551\pi\)
−0.724094 + 0.689702i \(0.757742\pi\)
\(488\) 2.63781 35.1992i 0.119408 1.59339i
\(489\) −1.88352 8.69070i −0.0851758 0.393007i
\(490\) 38.7232 1.78823i 1.74933 0.0807838i
\(491\) −6.84665 3.95292i −0.308985 0.178393i 0.337487 0.941330i \(-0.390423\pi\)
−0.646472 + 0.762938i \(0.723756\pi\)
\(492\) 37.7985 5.27375i 1.70409 0.237759i
\(493\) 6.78430 + 1.54847i 0.305550 + 0.0697397i
\(494\) −7.99480 + 3.13773i −0.359703 + 0.141173i
\(495\) 4.46007 + 5.02352i 0.200465 + 0.225790i
\(496\) 68.5479 15.6456i 3.07789 0.702509i
\(497\) 1.61297 0.472339i 0.0723516 0.0211873i
\(498\) −40.4091 23.9252i −1.81078 1.07211i
\(499\) −26.0182 12.5297i −1.16473 0.560906i −0.251306 0.967908i \(-0.580860\pi\)
−0.913427 + 0.407002i \(0.866574\pi\)
\(500\) −36.9160 + 34.2531i −1.65094 + 1.53184i
\(501\) −12.7418 + 31.4467i −0.569262 + 1.40493i
\(502\) 5.07307 + 33.6576i 0.226422 + 1.50221i
\(503\) 14.6147 7.03806i 0.651636 0.313811i −0.0787010 0.996898i \(-0.525077\pi\)
0.730337 + 0.683087i \(0.239363\pi\)
\(504\) −45.8049 15.9697i −2.04031 0.711349i
\(505\) −18.2517 8.78957i −0.812191 0.391131i
\(506\) 2.06097 6.68149i 0.0916211 0.297028i
\(507\) 10.2738 12.5969i 0.456275 0.559448i
\(508\) −28.9555 50.1524i −1.28469 2.22515i
\(509\) 13.8398 0.613436 0.306718 0.951800i \(-0.400769\pi\)
0.306718 + 0.951800i \(0.400769\pi\)
\(510\) 46.7498 + 38.1283i 2.07011 + 1.68835i
\(511\) 24.6757 + 0.353539i 1.09159 + 0.0156397i
\(512\) −39.5376 31.5302i −1.74733 1.39345i
\(513\) −8.17478 + 4.36751i −0.360925 + 0.192830i
\(514\) −1.81869 2.66753i −0.0802190 0.117660i
\(515\) 16.4687 34.1975i 0.725696 1.50692i
\(516\) −2.51134 39.2920i −0.110556 1.72973i
\(517\) 7.63980 2.99840i 0.335998 0.131870i
\(518\) −24.9384 44.6602i −1.09573 1.96226i
\(519\) 36.9929 + 5.99158i 1.62381 + 0.263001i
\(520\) −12.7049 + 22.0056i −0.557149 + 0.965010i
\(521\) −2.07130 + 3.58759i −0.0907452 + 0.157175i −0.907825 0.419349i \(-0.862258\pi\)
0.817080 + 0.576525i \(0.195592\pi\)
\(522\) 0.444097 + 8.39412i 0.0194376 + 0.367400i
\(523\) 7.57164 + 8.16028i 0.331085 + 0.356824i 0.876552 0.481308i \(-0.159838\pi\)
−0.545467 + 0.838132i \(0.683648\pi\)
\(524\) 0.0497371 + 0.663695i 0.00217277 + 0.0289937i
\(525\) −0.0252955 + 0.999682i −0.00110399 + 0.0436297i
\(526\) −5.56561 + 74.2679i −0.242672 + 3.23823i
\(527\) −51.9861 + 41.4575i −2.26455 + 1.80592i
\(528\) −10.9325 4.42971i −0.475775 0.192778i
\(529\) −3.50029 15.3358i −0.152187 0.666773i
\(530\) 3.31713 + 44.2640i 0.144087 + 1.92270i
\(531\) 17.7959 + 5.91996i 0.772277 + 0.256904i
\(532\) −4.92492 + 20.2366i −0.213522 + 0.877368i
\(533\) −6.45673 6.95870i −0.279672 0.301415i
\(534\) 22.9038 + 13.5607i 0.991143 + 0.586829i
\(535\) 3.52108 23.3608i 0.152229 1.00998i
\(536\) 25.8369 + 83.7611i 1.11598 + 3.61793i
\(537\) −35.5806 14.4168i −1.53542 0.622133i
\(538\) 38.1309 22.0149i 1.64394 0.949130i
\(539\) 5.02409 5.11276i 0.216403 0.220222i
\(540\) −19.8468 + 46.0518i −0.854071 + 1.98175i
\(541\) −26.0067 17.7311i −1.11812 0.762319i −0.144273 0.989538i \(-0.546084\pi\)
−0.973844 + 0.227219i \(0.927037\pi\)
\(542\) −12.5905 + 55.1627i −0.540809 + 2.36944i
\(543\) 8.05962 + 12.1045i 0.345871 + 0.519455i
\(544\) −28.3239 6.46474i −1.21438 0.277173i
\(545\) 14.5348 + 4.48340i 0.622604 + 0.192048i
\(546\) 5.96838 + 21.2426i 0.255423 + 0.909100i
\(547\) −23.9034 + 7.37321i −1.02203 + 0.315256i −0.760083 0.649825i \(-0.774842\pi\)
−0.261951 + 0.965081i \(0.584366\pi\)
\(548\) 2.04455 0.153218i 0.0873389 0.00654514i
\(549\) −13.7804 + 10.5032i −0.588134 + 0.448268i
\(550\) −0.0422897 + 0.564316i −0.00180324 + 0.0240625i
\(551\) 1.95147 0.294137i 0.0831354 0.0125307i
\(552\) 28.2675 3.94397i 1.20315 0.167866i
\(553\) 17.8032 + 38.3651i 0.757068 + 1.63145i
\(554\) 16.9623 + 24.8792i 0.720660 + 1.05701i
\(555\) −26.1876 + 12.2592i −1.11160 + 0.520372i
\(556\) 23.4232 18.6794i 0.993367 0.792183i
\(557\) −16.7036 9.64380i −0.707753 0.408621i 0.102476 0.994735i \(-0.467324\pi\)
−0.810228 + 0.586114i \(0.800657\pi\)
\(558\) −65.3546 46.6910i −2.76668 1.97659i
\(559\) −7.65658 + 6.10592i −0.323839 + 0.258253i
\(560\) 16.1963 + 34.9025i 0.684420 + 1.47490i
\(561\) 11.1326 0.711537i 0.470017 0.0300411i
\(562\) 13.8182 17.3275i 0.582886 0.730916i
\(563\) −2.76027 36.8332i −0.116331 1.55233i −0.684248 0.729249i \(-0.739870\pi\)
0.567917 0.823086i \(-0.307749\pi\)
\(564\) 44.4502 + 42.1607i 1.87169 + 1.77528i
\(565\) −17.0349 + 6.68571i −0.716665 + 0.281270i
\(566\) −30.2320 + 37.9098i −1.27075 + 1.59347i
\(567\) 9.06585 + 22.0184i 0.380730 + 0.924686i
\(568\) 2.42061 + 3.03534i 0.101566 + 0.127360i
\(569\) −10.4783 6.04962i −0.439271 0.253613i 0.264017 0.964518i \(-0.414952\pi\)
−0.703288 + 0.710905i \(0.748286\pi\)
\(570\) 16.2923 + 5.22193i 0.682408 + 0.218723i
\(571\) 1.53884 3.92090i 0.0643985 0.164085i −0.895052 0.445962i \(-0.852862\pi\)
0.959451 + 0.281877i \(0.0909570\pi\)
\(572\) 1.91204 + 8.37719i 0.0799464 + 0.350268i
\(573\) 0.340528 + 1.14856i 0.0142258 + 0.0479816i
\(574\) −33.1467 + 4.51142i −1.38352 + 0.188303i
\(575\) −0.255286 0.530107i −0.0106462 0.0221070i
\(576\) 0.254117 + 4.80321i 0.0105882 + 0.200134i
\(577\) 17.6372 + 1.32172i 0.734245 + 0.0550241i 0.436604 0.899654i \(-0.356181\pi\)
0.297641 + 0.954678i \(0.403800\pi\)
\(578\) 55.6928 12.7115i 2.31651 0.528729i
\(579\) −1.17701 + 4.90796i −0.0489148 + 0.203968i
\(580\) 7.26269 7.82731i 0.301567 0.325011i
\(581\) 24.3255 + 14.5129i 1.00919 + 0.602096i
\(582\) 3.90130 45.3732i 0.161714 1.88078i
\(583\) 6.01689 + 5.58286i 0.249194 + 0.231218i
\(584\) 20.8265 + 53.0650i 0.861805 + 2.19584i
\(585\) 12.2183 2.50803i 0.505164 0.103694i
\(586\) 12.6377 18.5360i 0.522057 0.765717i
\(587\) 9.12969 + 15.8131i 0.376822 + 0.652676i 0.990598 0.136805i \(-0.0436834\pi\)
−0.613776 + 0.789481i \(0.710350\pi\)
\(588\) 50.4662 + 17.7850i 2.08119 + 0.733442i
\(589\) −9.42868 + 16.3310i −0.388502 + 0.672905i
\(590\) −15.0210 31.1914i −0.618405 1.28413i
\(591\) 1.85799 + 1.10007i 0.0764276 + 0.0452507i
\(592\) 31.6561 39.6955i 1.30106 1.63148i
\(593\) −2.57389 + 0.793941i −0.105697 + 0.0326033i −0.347153 0.937809i \(-0.612851\pi\)
0.241455 + 0.970412i \(0.422375\pi\)
\(594\) 4.50751 + 12.6988i 0.184945 + 0.521036i
\(595\) −28.1213 23.0927i −1.15286 0.946709i
\(596\) 15.1766 + 49.2014i 0.621658 + 2.01537i
\(597\) 5.51982 + 18.6176i 0.225911 + 0.761969i
\(598\) −8.83036 9.51687i −0.361100 0.389174i
\(599\) 17.9024 26.2580i 0.731473 1.07287i −0.262678 0.964883i \(-0.584606\pi\)
0.994152 0.107991i \(-0.0344418\pi\)
\(600\) −2.15941 + 0.820279i −0.0881574 + 0.0334878i
\(601\) 10.4783 15.3689i 0.427421 0.626911i −0.550761 0.834663i \(-0.685662\pi\)
0.978181 + 0.207752i \(0.0666148\pi\)
\(602\) 2.08571 + 34.4477i 0.0850073 + 1.40398i
\(603\) 22.3263 36.7821i 0.909197 1.49788i
\(604\) −53.0574 + 49.2301i −2.15888 + 2.00314i
\(605\) 13.5678 + 17.0134i 0.551608 + 0.691694i
\(606\) −27.3104 30.0890i −1.10941 1.22228i
\(607\) 4.66793i 0.189465i −0.995503 0.0947326i \(-0.969800\pi\)
0.995503 0.0947326i \(-0.0301996\pi\)
\(608\) −8.14721 + 1.22799i −0.330413 + 0.0498018i
\(609\) −0.250884 5.06404i −0.0101663 0.205205i
\(610\) 31.6268 + 4.76697i 1.28053 + 0.193009i
\(611\) 2.27118 15.0683i 0.0918819 0.609597i
\(612\) 40.0435 + 73.0116i 1.61866 + 2.95132i
\(613\) 24.5624 16.7464i 0.992065 0.676379i 0.0455247 0.998963i \(-0.485504\pi\)
0.946541 + 0.322584i \(0.104552\pi\)
\(614\) 16.9543 + 43.1988i 0.684219 + 1.74336i
\(615\) 1.20617 + 18.8715i 0.0486376 + 0.760974i
\(616\) 15.3251 + 6.26950i 0.617467 + 0.252605i
\(617\) 4.06225 + 26.9512i 0.163540 + 1.08502i 0.908493 + 0.417900i \(0.137234\pi\)
−0.744953 + 0.667117i \(0.767528\pi\)
\(618\) 56.3766 51.1703i 2.26780 2.05837i
\(619\) 21.7395i 0.873785i −0.899514 0.436893i \(-0.856079\pi\)
0.899514 0.436893i \(-0.143921\pi\)
\(620\) 15.2065 + 100.888i 0.610707 + 4.05177i
\(621\) −10.6602 9.09096i −0.427779 0.364807i
\(622\) 21.3081 44.2468i 0.854378 1.77413i
\(623\) −13.7876 8.22586i −0.552388 0.329562i
\(624\) −17.2722 + 13.4668i −0.691443 + 0.539103i
\(625\) −14.8773 18.6555i −0.595091 0.746220i
\(626\) −30.7615 20.9728i −1.22948 0.838243i
\(627\) 2.86523 1.34130i 0.114426 0.0535663i
\(628\) −14.2081 20.8395i −0.566965 0.831585i
\(629\) −10.6844 + 46.8115i −0.426016 + 1.86650i
\(630\) 17.5316 40.3071i 0.698476 1.60587i
\(631\) 0.307360 + 1.34663i 0.0122358 + 0.0536086i 0.980677 0.195633i \(-0.0626760\pi\)
−0.968441 + 0.249241i \(0.919819\pi\)
\(632\) −66.4519 + 71.6181i −2.64331 + 2.84881i
\(633\) 2.25988 + 35.3575i 0.0898220 + 1.40534i
\(634\) −5.74277 + 1.77141i −0.228075 + 0.0703517i
\(635\) 25.8525 12.4499i 1.02592 0.494059i
\(636\) −18.7012 + 58.3472i −0.741552 + 2.31362i
\(637\) −3.55701 12.8251i −0.140934 0.508151i
\(638\) 2.86924i 0.113594i
\(639\) 0.325316 1.87777i 0.0128693 0.0742835i
\(640\) 19.7799 21.3176i 0.781868 0.842653i
\(641\) −31.5696 25.1759i −1.24692 0.994389i −0.999676 0.0254368i \(-0.991902\pi\)
−0.247248 0.968952i \(-0.579526\pi\)
\(642\) 24.1431 40.7772i 0.952851 1.60935i
\(643\) −9.00622 + 29.1974i −0.355171 + 1.15143i 0.585087 + 0.810971i \(0.301060\pi\)
−0.940257 + 0.340464i \(0.889416\pi\)
\(644\) −31.1953 + 4.24581i −1.22927 + 0.167309i
\(645\) 19.5072 + 0.214035i 0.768094 + 0.00842764i
\(646\) 23.4736 16.0040i 0.923555 0.629669i
\(647\) −13.6600 4.21354i −0.537029 0.165651i 0.0143645 0.999897i \(-0.495427\pi\)
−0.551393 + 0.834245i \(0.685904\pi\)
\(648\) −39.1452 + 38.6406i −1.53777 + 1.51795i
\(649\) −5.95919 2.33881i −0.233919 0.0918064i
\(650\) 0.868149 + 0.591894i 0.0340516 + 0.0232160i
\(651\) 39.3260 + 28.2952i 1.54131 + 1.10898i
\(652\) −18.7210 + 12.7638i −0.733173 + 0.499869i
\(653\) −14.0347 + 3.20332i −0.549219 + 0.125356i −0.488121 0.872776i \(-0.662317\pi\)
−0.0610981 + 0.998132i \(0.519460\pi\)
\(654\) 23.6441 + 19.2837i 0.924557 + 0.754052i
\(655\) −0.329774 −0.0128853
\(656\) −16.6023 28.7560i −0.648210 1.12273i
\(657\) 12.6914 24.9389i 0.495139 0.972960i
\(658\) −38.8376 37.0855i −1.51405 1.44574i
\(659\) 4.37909 29.0534i 0.170585 1.13176i −0.725612 0.688104i \(-0.758443\pi\)
0.896197 0.443656i \(-0.146319\pi\)
\(660\) 7.59550 15.3394i 0.295654 0.597085i
\(661\) −11.6430 + 0.872526i −0.452862 + 0.0339373i −0.299209 0.954188i \(-0.596723\pi\)
−0.153653 + 0.988125i \(0.549104\pi\)
\(662\) −4.65313 + 0.348704i −0.180849 + 0.0135528i
\(663\) 9.19096 18.5615i 0.356947 0.720868i
\(664\) −9.75202 + 64.7004i −0.378452 + 2.51086i
\(665\) −9.81657 3.18272i −0.380670 0.123421i
\(666\) −57.9192 + 3.06425i −2.24432 + 0.118737i
\(667\) 1.49160 + 2.58353i 0.0577550 + 0.100035i
\(668\) 86.4543 3.34502
\(669\) −26.9249 21.9594i −1.04098 0.849001i
\(670\) −77.4346 + 17.6739i −2.99156 + 0.682804i
\(671\) 4.88663 3.33165i 0.188646 0.128617i
\(672\) 1.04742 + 21.1419i 0.0404050 + 0.815567i
\(673\) 4.44895 + 3.03324i 0.171494 + 0.116923i 0.646025 0.763316i \(-0.276430\pi\)
−0.474531 + 0.880239i \(0.657382\pi\)
\(674\) 26.8465 + 10.5365i 1.03409 + 0.405849i
\(675\) 1.00486 + 0.525333i 0.0386771 + 0.0202201i
\(676\) −39.5785 12.2084i −1.52225 0.469552i
\(677\) −21.1361 + 14.4104i −0.812327 + 0.553835i −0.896721 0.442597i \(-0.854057\pi\)
0.0843933 + 0.996433i \(0.473105\pi\)
\(678\) −36.7054 0.402736i −1.40966 0.0154670i
\(679\) −2.44499 + 27.3602i −0.0938301 + 1.04999i
\(680\) 24.7754 80.3199i 0.950094 3.08013i
\(681\) 11.4671 19.3677i 0.439419 0.742171i
\(682\) 21.4349 + 17.0938i 0.820785 + 0.654554i
\(683\) 12.1934 13.1413i 0.466566 0.502838i −0.455305 0.890336i \(-0.650470\pi\)
0.921871 + 0.387497i \(0.126660\pi\)
\(684\) 18.1361 + 15.1259i 0.693452 + 0.578351i
\(685\) 1.01589i 0.0388151i
\(686\) −44.1825 15.7374i −1.68690 0.600856i
\(687\) −12.3008 + 38.3783i −0.469307 + 1.46422i
\(688\) −30.8628 + 14.8628i −1.17663 + 0.566637i
\(689\) 14.5630 4.49209i 0.554806 0.171135i
\(690\) 1.64959 + 25.8091i 0.0627988 + 0.982536i
\(691\) −4.36355 + 4.70278i −0.165997 + 0.178902i −0.810572 0.585639i \(-0.800844\pi\)
0.644575 + 0.764541i \(0.277034\pi\)
\(692\) −21.2478 93.0928i −0.807721 3.53886i
\(693\) −2.69313 7.66872i −0.102304 0.291311i
\(694\) 20.1681 88.3621i 0.765569 3.35418i
\(695\) 8.36220 + 12.2651i 0.317196 + 0.465242i
\(696\) 10.6073 4.96558i 0.402068 0.188220i
\(697\) 25.9451 + 17.6891i 0.982741 + 0.670021i
\(698\) −41.2258 51.6955i −1.56042 1.95670i
\(699\) 3.97781 3.10142i 0.150455 0.117306i
\(700\) 2.38498 0.896823i 0.0901439 0.0338967i
\(701\) 0.490989 1.01955i 0.0185444 0.0385079i −0.891491 0.453039i \(-0.850340\pi\)
0.910035 + 0.414531i \(0.136054\pi\)
\(702\) 24.6040 + 4.54112i 0.928616 + 0.171394i
\(703\) 2.02954 + 13.4651i 0.0765454 + 0.507846i
\(704\) 1.64181i 0.0618782i
\(705\) −22.4775 + 20.4017i −0.846552 + 0.768374i
\(706\) 1.99380 + 13.2280i 0.0750375 + 0.497841i
\(707\) 16.4121 + 18.2043i 0.617241 + 0.684643i
\(708\) −3.04811 47.6902i −0.114555 1.79231i
\(709\) 15.0434 + 38.3299i 0.564966 + 1.43951i 0.872804 + 0.488072i \(0.162299\pi\)
−0.307837 + 0.951439i \(0.599605\pi\)
\(710\) −2.90659 + 1.98168i −0.109083 + 0.0743712i
\(711\) 47.9461 + 1.05227i 1.79812 + 0.0394631i
\(712\) 5.52741 36.6720i 0.207149 1.37434i
\(713\) −28.1868 4.24847i −1.05560 0.159106i
\(714\) −34.8844 64.1141i −1.30551 2.39941i
\(715\) −4.20998 + 0.634552i −0.157444 + 0.0237309i
\(716\) 97.8196i 3.65569i
\(717\) 6.53851 + 7.20376i 0.244185 + 0.269029i
\(718\) 32.1718 + 40.3421i 1.20064 + 1.50556i
\(719\) 30.4058 28.2125i 1.13394 1.05215i 0.135833 0.990732i \(-0.456629\pi\)
0.998112 0.0614153i \(-0.0195614\pi\)
\(720\) 43.6187 + 0.957296i 1.62557 + 0.0356763i
\(721\) −34.1087 + 30.7507i −1.27027 + 1.14522i
\(722\) −22.5663 + 33.0986i −0.839829 + 1.23180i
\(723\) −4.54436 + 1.72623i −0.169006 + 0.0641993i
\(724\) 20.8732 30.6154i 0.775747 1.13781i
\(725\) −0.164222 0.176989i −0.00609904 0.00657320i
\(726\) 12.4077 + 41.8495i 0.460492 + 1.55318i
\(727\) 4.47549 + 14.5092i 0.165987 + 0.538116i 0.999905 0.0137720i \(-0.00438391\pi\)
−0.833918 + 0.551888i \(0.813908\pi\)
\(728\) 24.3086 18.8221i 0.900936 0.697594i
\(729\) 26.9415 + 1.77613i 0.997834 + 0.0657826i
\(730\) −49.3588 + 15.2252i −1.82685 + 0.563509i
\(731\) 20.1980 25.3274i 0.747048 0.936769i
\(732\) 37.9897 + 22.4927i 1.40414 + 0.831353i
\(733\) 18.8132 + 39.0659i 0.694880 + 1.44293i 0.887098 + 0.461581i \(0.152718\pi\)
−0.192218 + 0.981352i \(0.561568\pi\)
\(734\) −15.1725 + 26.2795i −0.560026 + 0.969994i
\(735\) −10.6562 + 24.2769i −0.393061 + 0.895466i
\(736\) −6.22729 10.7860i −0.229541 0.397577i
\(737\) −8.27349 + 12.1350i −0.304758 + 0.446998i
\(738\) −11.9731 + 35.9922i −0.440735 + 1.32489i
\(739\) 17.7867 + 45.3198i 0.654294 + 1.66712i 0.741523 + 0.670927i \(0.234104\pi\)
−0.0872290 + 0.996188i \(0.527801\pi\)
\(740\) 54.0082 + 50.1123i 1.98538 + 1.84217i
\(741\) 0.503208 5.85245i 0.0184858 0.214995i
\(742\) 16.5636 51.0877i 0.608070 1.87549i
\(743\) 32.9523 35.5141i 1.20890 1.30289i 0.268317 0.963331i \(-0.413532\pi\)
0.940586 0.339557i \(-0.110277\pi\)
\(744\) −26.0981 + 108.825i −0.956803 + 3.98974i
\(745\) −24.8724 + 5.67696i −0.911254 + 0.207988i
\(746\) −45.9123 3.44065i −1.68097 0.125971i
\(747\) 26.9281 17.5063i 0.985249 0.640524i
\(748\) −12.3326 25.6090i −0.450926 0.936357i
\(749\) −14.6451 + 24.5470i −0.535119 + 0.896929i
\(750\) −14.2274 47.9870i −0.519509 1.75224i
\(751\) −4.57539 20.0461i −0.166958 0.731493i −0.987202 0.159478i \(-0.949019\pi\)
0.820243 0.572015i \(-0.193838\pi\)
\(752\) 19.4735 49.6177i 0.710126 1.80937i
\(753\) −22.1690 7.10553i −0.807885 0.258940i
\(754\) −4.61368 2.66371i −0.168020 0.0970066i
\(755\) −22.3600 28.0386i −0.813765 1.02043i
\(756\) 43.3223 42.4779i 1.57562 1.54490i
\(757\) 6.94452 8.70815i 0.252403 0.316503i −0.639447 0.768836i \(-0.720836\pi\)
0.891849 + 0.452332i \(0.149408\pi\)
\(758\) 43.1150 16.9214i 1.56601 0.614613i
\(759\) 3.46972 + 3.29100i 0.125943 + 0.119456i
\(760\) −1.78140 23.7712i −0.0646183 0.862271i
\(761\) −3.79868 + 4.76339i −0.137702 + 0.172673i −0.845901 0.533340i \(-0.820937\pi\)
0.708199 + 0.706013i \(0.249508\pi\)
\(762\) 57.4399 3.67127i 2.08083 0.132996i
\(763\) −14.2226 11.6793i −0.514892 0.422820i
\(764\) 2.38651 1.90318i 0.0863409 0.0688546i
\(765\) −37.5578 + 17.0821i −1.35791 + 0.617603i
\(766\) 56.8574 + 32.8266i 2.05434 + 1.18607i
\(767\) −9.29308 + 7.41098i −0.335554 + 0.267595i
\(768\) 47.8001 22.3766i 1.72484 0.807447i
\(769\) 14.3761 + 21.0858i 0.518414 + 0.760374i 0.992779 0.119954i \(-0.0382748\pi\)
−0.474365 + 0.880328i \(0.657322\pi\)
\(770\) −6.70274 + 13.4230i −0.241550 + 0.483731i
\(771\) 2.18694 0.305128i 0.0787608 0.0109889i
\(772\) 12.7165 1.91671i 0.457678 0.0689838i
\(773\) 1.83556