Properties

Label 441.2.bd.a.110.51
Level $441$
Weight $2$
Character 441.110
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 110.51
Character \(\chi\) \(=\) 441.110
Dual form 441.2.bd.a.437.51

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 18 q^{2} - 11 q^{3} - 60 q^{4} - 15 q^{5} - 22 q^{6} - 5 q^{7} + 13 q^{9} + O(q^{10}) \) \( 648 q - 18 q^{2} - 11 q^{3} - 60 q^{4} - 15 q^{5} - 22 q^{6} - 5 q^{7} + 13 q^{9} - 22 q^{10} - 21 q^{11} + 24 q^{12} - 10 q^{13} - 24 q^{14} - 10 q^{15} + 42 q^{16} + 9 q^{17} + 12 q^{18} - 36 q^{19} - 15 q^{20} - 38 q^{21} - 9 q^{22} - 84 q^{23} - 38 q^{24} - 97 q^{25} - 6 q^{26} - 20 q^{27} - 26 q^{28} - 123 q^{29} - q^{30} - 6 q^{31} - 30 q^{32} - 8 q^{33} - q^{34} + 70 q^{36} - 13 q^{37} - 75 q^{38} - 24 q^{39} - 7 q^{40} - 15 q^{41} - 133 q^{42} - 9 q^{43} - 51 q^{44} - 41 q^{45} - 108 q^{46} - 36 q^{47} + 15 q^{48} + 5 q^{49} - 45 q^{50} + 10 q^{51} - 35 q^{52} + 12 q^{53} - 50 q^{54} + 14 q^{55} + 33 q^{56} - 7 q^{57} + 33 q^{58} - 3 q^{59} + 180 q^{60} + 55 q^{61} - 66 q^{62} - 20 q^{63} + 64 q^{64} + 3 q^{65} + 285 q^{66} + 13 q^{67} + 6 q^{68} + 82 q^{69} + 11 q^{70} + 63 q^{71} - 21 q^{72} - 22 q^{73} - 21 q^{74} - 107 q^{75} + 21 q^{76} - 69 q^{77} + 63 q^{78} + q^{79} + 45 q^{80} - 211 q^{81} - 28 q^{82} + 9 q^{83} + 239 q^{84} - 10 q^{85} - 21 q^{86} - 109 q^{87} - 29 q^{88} - 132 q^{89} - 275 q^{90} - 13 q^{91} + 195 q^{92} + 19 q^{93} - 4 q^{94} - 129 q^{95} - 5 q^{96} - 3 q^{97} - 21 q^{98} - 148 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{11}{42}\right)\) \(e\left(\frac{1}{6}\right)\)

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 0.859571 0.511016i \(-0.170731\pi\)
0.926133 + 0.377196i \(0.123112\pi\)
\(3\) −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 −0.959237 0.282602i \(-0.908802\pi\)
0.741626 0.670813i \(-0.234055\pi\)
\(6\) −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 −0.823187 0.567771i \(-0.807806\pi\)
0.957149 + 0.289594i \(0.0935204\pi\)
\(12\) −4.83127 5.92371i −1.39467 1.71003i
\(13\) 1.89601 0.142086i 0.525858 0.0394076i 0.190843 0.981621i \(-0.438878\pi\)
0.335015 + 0.942213i \(0.391259\pi\)
\(14\) 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 −0.657797 0.753195i \(-0.728512\pi\)
−0.850581 + 0.525843i \(0.823750\pi\)
\(18\) −3.14538 + 6.91565i −0.741374 + 1.63003i
\(19\) −1.54472 0.891846i −0.354384 0.204604i 0.312231 0.950006i \(-0.398924\pi\)
−0.666614 + 0.745403i \(0.732257\pi\)
\(20\) −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 −0.818125 0.575040i \(-0.804987\pi\)
0.378572 + 0.925572i \(0.376415\pi\)
\(24\) −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 −0.459035 0.888418i \(-0.651805\pi\)
0.267781 + 0.963480i \(0.413710\pi\)
\(30\) −6.44649 + 7.10238i −1.17696 + 1.29671i
\(31\) 9.15570 + 5.28605i 1.64441 + 0.949402i 0.979238 + 0.202714i \(0.0649762\pi\)
0.665174 + 0.746688i \(0.268357\pi\)
\(32\) 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 0.954033 + 0.299703i \(0.0968875\pi\)
−0.495506 + 0.868605i \(0.665017\pi\)
\(38\) −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 −0.912144 0.409871i \(-0.865574\pi\)
0.340560 + 0.940223i \(0.389383\pi\)
\(42\) 3.96521 10.9067i 0.611846 1.68294i
\(43\) −3.77572 3.50336i −0.575792 0.534257i 0.337626 0.941280i \(-0.390376\pi\)
−0.913418 + 0.407024i \(0.866567\pi\)
\(44\) 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 0.852786 + 0.522260i \(0.174911\pi\)
−0.765422 + 0.643528i \(0.777470\pi\)
\(48\) −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 0.817451 0.575999i \(-0.195387\pi\)
0.207455 + 0.978245i \(0.433482\pi\)
\(54\) 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 0.322995 0.946401i \(-0.395310\pi\)
−0.919617 + 0.392817i \(0.871501\pi\)
\(60\) −10.2779 + 13.1822i −1.32687 + 1.70182i
\(61\) −0.860809 + 5.71109i −0.110215 + 0.731230i 0.863648 + 0.504095i \(0.168174\pi\)
−0.973863 + 0.227135i \(0.927064\pi\)
\(62\) 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 0.0205379 0.999789i \(-0.493462\pi\)
0.855574 0.517681i \(-0.173205\pi\)
\(68\) −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 −0.593576 0.804778i \(-0.702284\pi\)
0.652518 + 0.757773i \(0.273713\pi\)
\(72\) −5.01852 + 17.6345i −0.591438 + 2.07824i
\(73\) 5.25437 7.70675i 0.614978 0.902007i −0.384802 0.922999i \(-0.625730\pi\)
0.999780 + 0.0209926i \(0.00668264\pi\)
\(74\) 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 −0.828422 0.560104i \(-0.810761\pi\)
−0.0708531 0.997487i \(-0.522572\pi\)
\(80\) −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 −0.762996 0.646403i \(-0.776273\pi\)
0.850816 0.525464i \(-0.176108\pi\)
\(84\) 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 0.920189 + 0.391475i \(0.128035\pi\)
−0.968257 + 0.249956i \(0.919584\pi\)
\(90\) 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 −0.0315638 0.999502i \(-0.510049\pi\)
−0.881376 + 0.472416i \(0.843382\pi\)
\(98\) −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 −0.967761 0.251870i \(-0.918955\pi\)
0.762640 0.646823i \(-0.223903\pi\)
\(102\) 12.2418 + 24.7228i 1.21212 + 2.44792i
\(103\) −16.9224 + 3.86243i −1.66742 + 0.380577i −0.949059 0.315098i \(-0.897963\pi\)
−0.718357 + 0.695675i \(0.755106\pi\)
\(104\) 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 −0.457024 0.889454i \(-0.651085\pi\)
−0.584486 + 0.811404i \(0.698704\pi\)
\(108\) 22.5513 4.16226i 2.17000 0.400514i
\(109\) 0.519812 + 6.93642i 0.0497890 + 0.664388i 0.965140 + 0.261732i \(0.0842938\pi\)
−0.915351 + 0.402656i \(0.868087\pi\)
\(110\) −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 −0.537798 0.843073i \(-0.680744\pi\)
0.981275 + 0.192613i \(0.0616962\pi\)
\(114\) 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 −0.998660 0.0517539i \(-0.983519\pi\)
0.272679 + 0.962105i \(0.412090\pi\)
\(128\) −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 −0.973441 0.228939i \(-0.926474\pi\)
0.976373 + 0.216093i \(0.0693315\pi\)
\(132\) −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 0.241825 0.970320i \(-0.422254\pi\)
−0.203129 + 0.979152i \(0.565111\pi\)
\(138\) 11.3388 + 3.36178i 0.965226 + 0.286174i
\(139\) 4.61732 + 4.97629i 0.391636 + 0.422083i 0.897834 0.440334i \(-0.145140\pi\)
−0.506198 + 0.862417i \(0.668950\pi\)
\(140\) 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 −0.584081 0.811695i \(-0.698545\pi\)
0.998778 0.0494310i \(-0.0157408\pi\)
\(150\) −0.834141 0.469466i −0.0681074 0.0383317i
\(151\) −10.2253 12.8222i −0.832126 1.04345i −0.998353 0.0573659i \(-0.981730\pi\)
0.166227 0.986088i \(-0.446842\pi\)
\(152\) −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 −0.868851 0.495074i \(-0.835141\pi\)
0.558619 + 0.829425i \(0.311332\pi\)
\(158\) −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 0.518891 0.854841i \(-0.326345\pi\)
−0.813674 + 0.581322i \(0.802536\pi\)
\(164\) −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 0.846699 0.532072i \(-0.178586\pi\)
0.652252 + 0.758003i \(0.273825\pi\)
\(168\) 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 0.228983 + 0.973430i \(0.426460\pi\)
−0.829957 + 0.557827i \(0.811635\pi\)
\(174\) 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 −0.430519 0.902582i \(-0.641669\pi\)
0.677433 0.735585i \(-0.263092\pi\)
\(180\) 28.7165 + 3.68588i 2.14040 + 0.274729i
\(181\) 3.64287 + 7.56451i 0.270773 + 0.562265i 0.991371 0.131088i \(-0.0418470\pi\)
−0.720598 + 0.693353i \(0.756133\pi\)
\(182\) 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 0.749842 0.661617i \(-0.230129\pi\)
−0.715802 + 0.698303i \(0.753939\pi\)
\(192\) 2.31150 + 1.53908i 0.166818 + 0.111073i
\(193\) 2.78450 + 0.858904i 0.200433 + 0.0618252i 0.393346 0.919391i \(-0.371317\pi\)
−0.192913 + 0.981216i \(0.561794\pi\)
\(194\) −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 \(0.0141406\pi\)
−0.999013 + 0.0444095i \(0.985859\pi\)
\(198\) 4.98292 + 5.97460i 0.354121 + 0.424596i
\(199\) 7.62567 + 8.21851i 0.540569 + 0.582595i 0.942974 0.332867i \(-0.108016\pi\)
−0.402405 + 0.915462i \(0.631826\pi\)
\(200\) 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 0.981769 0.190077i \(-0.0608737\pi\)
0.181743 + 0.983346i \(0.441826\pi\)
\(212\) 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 −0.832701 0.553723i \(-0.813207\pi\)
0.632494 0.774565i \(-0.282031\pi\)
\(224\) 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 0.891822 0.452386i \(-0.149427\pi\)
0.607221 + 0.794533i \(0.292284\pi\)
\(230\) 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 −0.452472 0.891779i \(-0.649458\pi\)
0.274878 + 0.961479i \(0.411362\pi\)
\(234\) −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 0.993219 0.116260i \(-0.0370907\pi\)
−0.886128 + 0.463441i \(0.846614\pi\)
\(240\) −12.3546 + 21.9515i −0.797484 + 1.41696i
\(241\) 2.19429 1.74989i 0.141347 0.112720i −0.550264 0.834991i \(-0.685473\pi\)
0.691611 + 0.722271i \(0.256901\pi\)
\(242\) 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 −0.788482 0.615058i \(-0.789132\pi\)
0.977261 0.212039i \(-0.0680104\pi\)
\(252\) −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 −0.806004 0.591910i \(-0.798374\pi\)
0.756422 + 0.654084i \(0.226946\pi\)
\(258\) −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 \(-0.638586\pi\)
0.421754 0.906710i \(-0.361414\pi\)
\(264\) −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 0.915614 0.402057i \(-0.131705\pi\)
−0.0397531 + 0.999210i \(0.512657\pi\)
\(270\) −9.38192 27.2027i −0.570966 1.65551i
\(271\) −3.32998 22.0930i −0.202282 1.34205i −0.827440 0.561554i \(-0.810204\pi\)
0.625158 0.780498i \(-0.285034\pi\)
\(272\) −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 −0.507536 0.861631i \(-0.669443\pi\)
0.952965 + 0.303080i \(0.0980148\pi\)
\(278\) 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 0.944639 0.328112i \(-0.106412\pi\)
−0.650546 + 0.759467i \(0.725460\pi\)
\(282\) 27.2431 22.2190i 1.62230 1.32312i
\(283\) −10.7858 15.8199i −0.641150 0.940394i −0.999976 0.00698944i \(-0.997775\pi\)
0.358826 0.933405i \(-0.383177\pi\)
\(284\) 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 0.965912 0.258872i \(-0.0833509\pi\)
−0.707146 + 0.707068i \(0.750018\pi\)
\(294\) 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 −0.541076 0.840974i \(-0.681983\pi\)
0.994855 0.101308i \(-0.0323029\pi\)
\(308\) 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 0.978415 + 0.206650i \(0.0662562\pi\)
−0.576671 + 0.816976i \(0.695649\pi\)
\(312\) −14.9031 13.5268i −0.843721 0.765805i
\(313\) −12.7319 + 7.35074i −0.719647 + 0.415488i −0.814623 0.579991i \(-0.803056\pi\)
0.0949757 + 0.995480i \(0.469723\pi\)
\(314\) −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 0.302492 0.953152i \(-0.402181\pi\)
−0.426565 + 0.904457i \(0.640277\pi\)
\(318\) −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 0.0987786 0.995109i \(-0.468506\pi\)
−0.198923 + 0.980015i \(0.563745\pi\)
\(332\) −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 0.0161800 0.999869i \(-0.494850\pi\)
0.576615 + 0.817016i \(0.304373\pi\)
\(338\) −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 0.417890 + 0.908498i \(0.362770\pi\)
−0.131540 + 0.991311i \(0.541992\pi\)
\(348\) 7.37039 + 4.14815i 0.395095 + 0.222364i
\(349\) −17.7590 + 19.1396i −0.950616 + 1.02452i 0.0490530 + 0.998796i \(0.484380\pi\)
−0.999669 + 0.0257243i \(0.991811\pi\)
\(350\) 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 −0.933965 0.357363i \(-0.883676\pi\)
0.996528 + 0.0832591i \(0.0265329\pi\)
\(354\) −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 −0.252351 0.967636i \(-0.581204\pi\)
0.983788 + 0.179334i \(0.0573942\pi\)
\(360\) 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 0.720083 0.693888i \(-0.244104\pi\)
−0.991468 + 0.130351i \(0.958389\pi\)
\(368\) −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 0.806248 0.591577i \(-0.201494\pi\)
0.0401741 + 0.999193i \(0.487209\pi\)
\(380\) −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 0.271691 0.962385i \(-0.412417\pi\)
0.921819 + 0.387621i \(0.126703\pi\)
\(384\) 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 0.378105 0.925763i \(-0.376576\pi\)
0.742334 + 0.670030i \(0.233719\pi\)
\(390\) −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 −0.999850 0.0173140i \(-0.994489\pi\)
0.835868 + 0.548930i \(0.184965\pi\)
\(398\) 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 0.987421 0.158113i \(-0.0505410\pi\)
−0.739265 + 0.673415i \(0.764827\pi\)
\(402\) −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 −0.163770 0.986499i \(-0.552365\pi\)
0.550938 + 0.834546i \(0.314270\pi\)
\(410\) 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 −0.832833 0.553525i \(-0.813282\pi\)
0.987002 + 0.160708i \(0.0513776\pi\)
\(420\) −44.1708 2.18832i −2.15532 0.106779i
\(421\) 6.08958 + 15.5160i 0.296788 + 0.756204i 0.999020 + 0.0442557i \(0.0140916\pi\)
−0.702232 + 0.711948i \(0.747813\pi\)
\(422\) 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 0.963648 0.267174i \(-0.0860897\pi\)
−0.946708 + 0.322093i \(0.895614\pi\)
\(432\) 32.6691 11.2672i 1.57180 0.542095i
\(433\) −16.6450 + 3.79910i −0.799906 + 0.182573i −0.602887 0.797826i \(-0.705983\pi\)
−0.197019 + 0.980400i \(0.563126\pi\)
\(434\) 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 0.251460 0.967868i \(-0.419089\pi\)
0.392905 + 0.919579i \(0.371470\pi\)
\(440\) −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 −0.134838 0.990868i \(-0.543051\pi\)
0.0143489 + 0.999897i \(0.495432\pi\)
\(444\) 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 −0.916348 0.400383i \(-0.868877\pi\)
−0.651881 + 0.758321i \(0.726020\pi\)
\(450\) 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 0.362764 0.931881i \(-0.381833\pi\)
0.824677 + 0.565604i \(0.191357\pi\)
\(458\) 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 0.962744 0.270416i \(-0.0871611\pi\)
−0.889670 + 0.456603i \(0.849066\pi\)
\(462\) −8.30084 8.50422i −0.386190 0.395652i
\(463\) 6.34789 16.1741i 0.295011 0.751676i −0.704123 0.710078i \(-0.748660\pi\)
0.999134 0.0415986i \(-0.0132451\pi\)
\(464\) −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 0.0435456 0.999051i \(-0.486135\pi\)
0.336087 + 0.941831i \(0.390897\pi\)
\(468\) −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 0.746388 0.665511i \(-0.231786\pi\)
−0.0549522 + 0.998489i \(0.517501\pi\)
\(480\) −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 −0.724094 0.689702i \(-0.757742\pi\)
0.633661 + 0.773611i \(0.281551\pi\)
\(488\) 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 −0.646472 0.762938i \(-0.723756\pi\)
0.337487 + 0.941330i \(0.390423\pi\)
\(492\) 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 −0.913427 0.407002i \(-0.866574\pi\)
−0.251306 + 0.967908i \(0.580860\pi\)
\(500\) −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 0.730337 0.683087i \(-0.239363\pi\)
−0.0787010 + 0.996898i \(0.525077\pi\)
\(504\) −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 0.817080 0.576525i \(-0.195592\pi\)
−0.907825 + 0.419349i \(0.862258\pi\)
\(522\) 0.444097 8.39412i 0.0194376 0.367400i
\(523\) 7.57164 8.16028i 0.331085 0.356824i −0.545467 0.838132i \(-0.683648\pi\)
0.876552 + 0.481308i \(0.159838\pi\)
\(524\) 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 −0.973844 0.227219i \(-0.927037\pi\)
−0.144273 + 0.989538i \(0.546084\pi\)
\(542\) −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 −0.261951 0.965081i \(-0.584366\pi\)
−0.760083 + 0.649825i \(0.774842\pi\)
\(548\) 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 −0.810228 0.586114i \(-0.800657\pi\)
0.102476 + 0.994735i \(0.467324\pi\)
\(558\) −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 0.567917 + 0.823086i \(0.307749\pi\)
−0.684248 + 0.729249i \(0.739870\pi\)
\(564\) 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 −0.703288 0.710905i \(-0.748286\pi\)
0.264017 + 0.964518i \(0.414952\pi\)
\(570\) 16.2923 5.22193i 0.682408 0.218723i
\(571\) 1.53884 + 3.92090i 0.0643985 + 0.164085i 0.959451 0.281877i \(-0.0909570\pi\)
−0.895052 + 0.445962i \(0.852862\pi\)
\(572\) 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 0.297641 0.954678i \(-0.403800\pi\)
0.436604 + 0.899654i \(0.356181\pi\)
\(578\) 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 −0.613776 0.789481i \(-0.710350\pi\)
0.990598 + 0.136805i \(0.0436834\pi\)
\(588\) 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 0.241455 0.970412i \(-0.422375\pi\)
−0.347153 + 0.937809i \(0.612851\pi\)
\(594\) 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 0.994152 + 0.107991i \(0.0344418\pi\)
−0.262678 + 0.964883i \(0.584606\pi\)
\(600\) −2.15941 0.820279i −0.0881574 0.0334878i
\(601\) 10.4783 + 15.3689i 0.427421 + 0.626911i 0.978181 0.207752i \(-0.0666148\pi\)
−0.550761 + 0.834663i \(0.685662\pi\)
\(602\) 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 \(0.0301996\pi\)
−0.995503 + 0.0947326i \(0.969800\pi\)
\(608\) −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 0.946541 0.322584i \(-0.104552\pi\)
0.0455247 + 0.998963i \(0.485504\pi\)
\(614\) 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 −0.744953 0.667117i \(-0.767528\pi\)
0.908493 0.417900i \(-0.137234\pi\)
\(618\) 56.3766 + 51.1703i 2.26780 + 2.05837i
\(619\) 21.7395i 0.873785i 0.899514 + 0.436893i \(0.143921\pi\)
−0.899514 + 0.436893i \(0.856079\pi\)
\(620\) 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 −0.968441 0.249241i \(-0.919819\pi\)
0.980677 + 0.195633i \(0.0626760\pi\)
\(632\) −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 −0.247248 + 0.968952i \(0.579526\pi\)
−0.999676 + 0.0254368i \(0.991902\pi\)
\(642\) 24.1431 + 40.7772i 0.952851 + 1.60935i
\(643\) −9.00622 29.1974i −0.355171 1.15143i −0.940257 0.340464i \(-0.889416\pi\)
0.585087 0.810971i \(-0.301060\pi\)
\(644\) −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 −0.551393 0.834245i \(-0.685904\pi\)
0.0143645 + 0.999897i \(0.495427\pi\)
\(648\) −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 −0.0610981 0.998132i \(-0.519460\pi\)
−0.488121 + 0.872776i \(0.662317\pi\)
\(654\) 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 0.896197 + 0.443656i \(0.146319\pi\)
−0.725612 + 0.688104i \(0.758443\pi\)
\(660\) 7.59550 + 15.3394i 0.295654 + 0.597085i
\(661\) −11.6430 0.872526i −0.452862 0.0339373i −0.153653 0.988125i \(-0.549104\pi\)
−0.299209 + 0.954188i \(0.596723\pi\)
\(662\) −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 −0.474531 0.880239i \(-0.657382\pi\)
0.646025 + 0.763316i \(0.276430\pi\)
\(674\) 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 0.0843933 0.996433i \(-0.473105\pi\)
−0.896721 + 0.442597i \(0.854057\pi\)
\(678\) −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 0.921871 0.387497i \(-0.126660\pi\)
−0.455305 + 0.890336i \(0.650470\pi\)
\(684\) 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 0.644575 0.764541i \(-0.277034\pi\)
−0.810572 + 0.585639i \(0.800844\pi\)
\(692\) −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 0.910035 0.414531i \(-0.136054\pi\)
−0.891491 + 0.453039i \(0.850340\pi\)
\(702\) 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 −0.307837 0.951439i \(-0.599605\pi\)
0.872804 0.488072i \(-0.162299\pi\)
\(710\) −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 0.998112 + 0.0614153i \(0.0195614\pi\)
0.135833 + 0.990732i \(0.456629\pi\)
\(720\) 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 −0.833918 0.551888i \(-0.813908\pi\)
0.999905 + 0.0137720i \(0.00438391\pi\)
\(728\) 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 −0.192218 0.981352i \(-0.561568\pi\)
0.887098 0.461581i \(-0.152718\pi\)
\(734\) −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 −0.0872290 0.996188i \(-0.527801\pi\)
0.741523 0.670927i \(-0.234104\pi\)
\(740\) 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 0.940586 + 0.339557i \(0.110277\pi\)
0.268317 + 0.963331i \(0.413532\pi\)
\(744\) −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 0.820243 + 0.572015i \(0.193838\pi\)
−0.987202 + 0.159478i \(0.949019\pi\)
\(752\) 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 0.891849 0.452332i \(-0.149408\pi\)
−0.639447 + 0.768836i \(0.720836\pi\)
\(758\) 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 0.708199 0.706013i \(-0.249508\pi\)
−0.845901 + 0.533340i \(0.820937\pi\)
\(762\) 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 −0.474365 0.880328i \(-0.657322\pi\)
0.992779 + 0.119954i \(0.0382748\pi\)
\(770\) −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 + 24.4938i