Properties

Label 300.2.w.a.67.4
Level $300$
Weight $2$
Character 300.67
Analytic conductor $2.396$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.w (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 67.4
Character \(\chi\) \(=\) 300.67
Dual form 300.2.w.a.103.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.36970 - 0.352033i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(1.75215 + 0.964358i) q^{4} +(1.21468 - 1.87738i) q^{5} +(1.29776 + 0.561967i) q^{6} +(-0.466793 + 0.466793i) q^{7} +(-2.06042 - 1.93769i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\) \(q+(-1.36970 - 0.352033i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(1.75215 + 0.964358i) q^{4} +(1.21468 - 1.87738i) q^{5} +(1.29776 + 0.561967i) q^{6} +(-0.466793 + 0.466793i) q^{7} +(-2.06042 - 1.93769i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-2.32465 + 2.14383i) q^{10} +(1.78159 - 0.578872i) q^{11} +(-1.57971 - 1.22658i) q^{12} +(0.234433 + 0.460102i) q^{13} +(0.803693 - 0.475039i) q^{14} +(-1.49341 + 1.66425i) q^{15} +(2.14003 + 3.37939i) q^{16} +(-0.610050 - 3.85171i) q^{17} +(-1.19388 - 0.758063i) q^{18} +(-0.124246 - 0.0902702i) q^{19} +(3.93876 - 2.11805i) q^{20} +(0.534069 - 0.388024i) q^{21} +(-2.64402 + 0.165703i) q^{22} +(2.60885 - 5.12015i) q^{23} +(1.73194 + 2.23616i) q^{24} +(-2.04910 - 4.56083i) q^{25} +(-0.159132 - 0.712729i) q^{26} +(-0.891007 - 0.453990i) q^{27} +(-1.26805 + 0.367734i) q^{28} +(-2.19816 - 3.02551i) q^{29} +(2.63139 - 1.75378i) q^{30} +(4.91991 - 6.77167i) q^{31} +(-1.74153 - 5.38211i) q^{32} +(-1.85021 + 0.293044i) q^{33} +(-0.520343 + 5.49043i) q^{34} +(0.309343 + 1.44335i) q^{35} +(1.36839 + 1.45860i) q^{36} +(0.232407 - 0.118417i) q^{37} +(0.138402 + 0.167382i) q^{38} +(-0.159571 - 0.491110i) q^{39} +(-6.14054 + 1.51452i) q^{40} +(3.02867 - 9.32128i) q^{41} +(-0.868111 + 0.343466i) q^{42} +(-1.26309 - 1.26309i) q^{43} +(3.67984 + 0.703818i) q^{44} +(1.73537 - 1.41014i) q^{45} +(-5.37579 + 6.09466i) q^{46} +(-1.19271 + 7.53046i) q^{47} +(-1.58503 - 3.67256i) q^{48} +6.56421i q^{49} +(1.20108 + 6.96831i) q^{50} +3.89972i q^{51} +(-0.0329410 + 1.03224i) q^{52} +(-0.540190 + 3.41063i) q^{53} +(1.06059 + 0.935494i) q^{54} +(1.07730 - 4.04786i) q^{55} +(1.86629 - 0.0572906i) q^{56} +(0.108595 + 0.108595i) q^{57} +(1.94574 + 4.91787i) q^{58} +(-4.23246 + 13.0262i) q^{59} +(-4.22161 + 1.47582i) q^{60} +(-0.806430 - 2.48194i) q^{61} +(-9.12264 + 7.54318i) q^{62} +(-0.588194 + 0.299700i) q^{63} +(0.490698 + 7.98494i) q^{64} +(1.14855 + 0.118757i) q^{65} +(2.63739 + 0.249952i) q^{66} +(0.495584 - 0.0784927i) q^{67} +(2.64553 - 7.33706i) q^{68} +(-3.37769 + 4.64900i) q^{69} +(0.0844020 - 2.08586i) q^{70} +(3.34472 + 4.60362i) q^{71} +(-1.36080 - 2.47956i) q^{72} +(14.3303 + 7.30166i) q^{73} +(-0.360014 + 0.0803809i) q^{74} +(1.31040 + 4.82523i) q^{75} +(-0.130645 - 0.277984i) q^{76} +(-0.561419 + 1.10185i) q^{77} +(0.0456776 + 0.728847i) q^{78} +(4.18276 - 3.03896i) q^{79} +(8.94385 + 0.0872410i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-7.42975 + 11.7011i) q^{82} +(-1.77842 - 11.2285i) q^{83} +(1.30996 - 0.164841i) q^{84} +(-7.97213 - 3.53330i) q^{85} +(1.28540 + 2.17470i) q^{86} +(1.69781 + 3.33213i) q^{87} +(-4.79250 - 2.25944i) q^{88} +(-17.1308 + 5.56614i) q^{89} +(-2.87335 + 1.32055i) q^{90} +(-0.324204 - 0.105340i) q^{91} +(9.50873 - 6.45538i) q^{92} +(-5.91866 + 5.91866i) q^{93} +(4.28462 - 9.89459i) q^{94} +(-0.320391 + 0.123608i) q^{95} +(0.878147 + 5.58828i) q^{96} +(13.4335 + 2.12767i) q^{97} +(2.31082 - 8.99098i) q^{98} +1.87327 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 12q^{8} + O(q^{10}) \) \( 240q + 12q^{8} + 8q^{10} + 8q^{12} + 4q^{13} + 20q^{17} - 20q^{20} - 12q^{22} + 20q^{25} + 4q^{28} - 8q^{30} - 20q^{32} - 8q^{33} - 4q^{37} - 76q^{38} - 92q^{40} - 20q^{42} - 140q^{44} - 4q^{45} - 16q^{48} - 164q^{50} - 172q^{52} - 4q^{53} - 120q^{58} + 20q^{60} - 44q^{62} - 60q^{64} - 20q^{65} + 16q^{68} - 44q^{70} + 12q^{72} - 44q^{73} - 48q^{77} + 24q^{78} - 4q^{80} + 60q^{81} + 24q^{82} + 80q^{84} - 64q^{85} + 60q^{88} - 260q^{89} + 48q^{90} + 144q^{92} - 64q^{93} + 40q^{94} - 20q^{96} - 180q^{97} + 256q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{20}\right)\)

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:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.36970 0.352033i −0.968523 0.248925i
\(3\) −0.987688 0.156434i −0.570242 0.0903175i
\(4\) 1.75215 + 0.964358i 0.876073 + 0.482179i
\(5\) 1.21468 1.87738i 0.543222 0.839589i
\(6\) 1.29776 + 0.561967i 0.529810 + 0.229422i
\(7\) −0.466793 + 0.466793i −0.176431 + 0.176431i −0.789798 0.613367i \(-0.789815\pi\)
0.613367 + 0.789798i \(0.289815\pi\)
\(8\) −2.06042 1.93769i −0.728470 0.685078i
\(9\) 0.951057 + 0.309017i 0.317019 + 0.103006i
\(10\) −2.32465 + 2.14383i −0.735118 + 0.677940i
\(11\) 1.78159 0.578872i 0.537168 0.174537i −0.0278542 0.999612i \(-0.508867\pi\)
0.565023 + 0.825075i \(0.308867\pi\)
\(12\) −1.57971 1.22658i −0.456024 0.354083i
\(13\) 0.234433 + 0.460102i 0.0650201 + 0.127609i 0.921229 0.389020i \(-0.127186\pi\)
−0.856209 + 0.516630i \(0.827186\pi\)
\(14\) 0.803693 0.475039i 0.214796 0.126960i
\(15\) −1.49341 + 1.66425i −0.385598 + 0.429707i
\(16\) 2.14003 + 3.37939i 0.535007 + 0.844848i
\(17\) −0.610050 3.85171i −0.147959 0.934176i −0.944242 0.329252i \(-0.893203\pi\)
0.796283 0.604924i \(-0.206797\pi\)
\(18\) −1.19388 0.758063i −0.281399 0.178677i
\(19\) −0.124246 0.0902702i −0.0285041 0.0207094i 0.573442 0.819246i \(-0.305608\pi\)
−0.601946 + 0.798537i \(0.705608\pi\)
\(20\) 3.93876 2.11805i 0.880734 0.473611i
\(21\) 0.534069 0.388024i 0.116543 0.0846738i
\(22\) −2.64402 + 0.165703i −0.563706 + 0.0353281i
\(23\) 2.60885 5.12015i 0.543982 1.06762i −0.441407 0.897307i \(-0.645521\pi\)
0.985389 0.170318i \(-0.0544795\pi\)
\(24\) 1.73194 + 2.23616i 0.353530 + 0.456454i
\(25\) −2.04910 4.56083i −0.409820 0.912167i
\(26\) −0.159132 0.712729i −0.0312084 0.139778i
\(27\) −0.891007 0.453990i −0.171474 0.0873705i
\(28\) −1.26805 + 0.367734i −0.239638 + 0.0694952i
\(29\) −2.19816 3.02551i −0.408189 0.561824i 0.554587 0.832126i \(-0.312876\pi\)
−0.962776 + 0.270302i \(0.912876\pi\)
\(30\) 2.63139 1.75378i 0.480425 0.320196i
\(31\) 4.91991 6.77167i 0.883642 1.21623i −0.0917572 0.995781i \(-0.529248\pi\)
0.975399 0.220447i \(-0.0707516\pi\)
\(32\) −1.74153 5.38211i −0.307863 0.951431i
\(33\) −1.85021 + 0.293044i −0.322080 + 0.0510124i
\(34\) −0.520343 + 5.49043i −0.0892381 + 0.941601i
\(35\) 0.309343 + 1.44335i 0.0522884 + 0.243971i
\(36\) 1.36839 + 1.45860i 0.228064 + 0.243100i
\(37\) 0.232407 0.118417i 0.0382074 0.0194677i −0.434782 0.900536i \(-0.643175\pi\)
0.472990 + 0.881068i \(0.343175\pi\)
\(38\) 0.138402 + 0.167382i 0.0224517 + 0.0271529i
\(39\) −0.159571 0.491110i −0.0255519 0.0786406i
\(40\) −6.14054 + 1.51452i −0.970905 + 0.239466i
\(41\) 3.02867 9.32128i 0.472998 1.45574i −0.375640 0.926766i \(-0.622577\pi\)
0.848639 0.528973i \(-0.177423\pi\)
\(42\) −0.868111 + 0.343466i −0.133952 + 0.0529979i
\(43\) −1.26309 1.26309i −0.192619 0.192619i 0.604208 0.796827i \(-0.293490\pi\)
−0.796827 + 0.604208i \(0.793490\pi\)
\(44\) 3.67984 + 0.703818i 0.554756 + 0.106105i
\(45\) 1.73537 1.41014i 0.258694 0.210211i
\(46\) −5.37579 + 6.09466i −0.792617 + 0.898608i
\(47\) −1.19271 + 7.53046i −0.173974 + 1.09843i 0.733921 + 0.679235i \(0.237688\pi\)
−0.907896 + 0.419196i \(0.862312\pi\)
\(48\) −1.58503 3.67256i −0.228779 0.530088i
\(49\) 6.56421i 0.937744i
\(50\) 1.20108 + 6.96831i 0.169859 + 0.985468i
\(51\) 3.89972i 0.546070i
\(52\) −0.0329410 + 1.03224i −0.00456810 + 0.143146i
\(53\) −0.540190 + 3.41063i −0.0742008 + 0.468485i 0.922409 + 0.386214i \(0.126217\pi\)
−0.996610 + 0.0822713i \(0.973783\pi\)
\(54\) 1.06059 + 0.935494i 0.144328 + 0.127305i
\(55\) 1.07730 4.04786i 0.145263 0.545813i
\(56\) 1.86629 0.0572906i 0.249394 0.00765579i
\(57\) 0.108595 + 0.108595i 0.0143838 + 0.0143838i
\(58\) 1.94574 + 4.91787i 0.255488 + 0.645748i
\(59\) −4.23246 + 13.0262i −0.551019 + 1.69586i 0.155211 + 0.987881i \(0.450394\pi\)
−0.706231 + 0.707982i \(0.749606\pi\)
\(60\) −4.22161 + 1.47582i −0.545007 + 0.190527i
\(61\) −0.806430 2.48194i −0.103253 0.317779i 0.886064 0.463564i \(-0.153429\pi\)
−0.989316 + 0.145784i \(0.953429\pi\)
\(62\) −9.12264 + 7.54318i −1.15858 + 0.957985i
\(63\) −0.588194 + 0.299700i −0.0741055 + 0.0377586i
\(64\) 0.490698 + 7.98494i 0.0613373 + 0.998117i
\(65\) 1.14855 + 0.118757i 0.142460 + 0.0147299i
\(66\) 2.63739 + 0.249952i 0.324640 + 0.0307670i
\(67\) 0.495584 0.0784927i 0.0605452 0.00958941i −0.126088 0.992019i \(-0.540242\pi\)
0.186634 + 0.982430i \(0.440242\pi\)
\(68\) 2.64553 7.33706i 0.320817 0.889749i
\(69\) −3.37769 + 4.64900i −0.406627 + 0.559674i
\(70\) 0.0844020 2.08586i 0.0100880 0.249308i
\(71\) 3.34472 + 4.60362i 0.396946 + 0.546349i 0.959974 0.280089i \(-0.0903639\pi\)
−0.563029 + 0.826437i \(0.690364\pi\)
\(72\) −1.36080 2.47956i −0.160372 0.292219i
\(73\) 14.3303 + 7.30166i 1.67724 + 0.854594i 0.991995 + 0.126278i \(0.0403033\pi\)
0.685241 + 0.728316i \(0.259697\pi\)
\(74\) −0.360014 + 0.0803809i −0.0418507 + 0.00934409i
\(75\) 1.31040 + 4.82523i 0.151312 + 0.557170i
\(76\) −0.130645 0.277984i −0.0149860 0.0318870i
\(77\) −0.561419 + 1.10185i −0.0639796 + 0.125567i
\(78\) 0.0456776 + 0.728847i 0.00517197 + 0.0825257i
\(79\) 4.18276 3.03896i 0.470598 0.341909i −0.327076 0.944998i \(-0.606063\pi\)
0.797674 + 0.603089i \(0.206063\pi\)
\(80\) 8.94385 + 0.0872410i 0.999952 + 0.00975384i
\(81\) 0.809017 + 0.587785i 0.0898908 + 0.0653095i
\(82\) −7.42975 + 11.7011i −0.820479 + 1.29218i
\(83\) −1.77842 11.2285i −0.195207 1.23249i −0.869465 0.493994i \(-0.835536\pi\)
0.674258 0.738496i \(-0.264464\pi\)
\(84\) 1.30996 0.164841i 0.142928 0.0179856i
\(85\) −7.97213 3.53330i −0.864699 0.383240i
\(86\) 1.28540 + 2.17470i 0.138609 + 0.234504i
\(87\) 1.69781 + 3.33213i 0.182024 + 0.357242i
\(88\) −4.79250 2.25944i −0.510882 0.240857i
\(89\) −17.1308 + 5.56614i −1.81586 + 0.590010i −0.815934 + 0.578145i \(0.803777\pi\)
−0.999930 + 0.0118654i \(0.996223\pi\)
\(90\) −2.87335 + 1.32055i −0.302878 + 0.139198i
\(91\) −0.324204 0.105340i −0.0339859 0.0110427i
\(92\) 9.50873 6.45538i 0.991354 0.673020i
\(93\) −5.91866 + 5.91866i −0.613736 + 0.613736i
\(94\) 4.28462 9.89459i 0.441925 1.02055i
\(95\) −0.320391 + 0.123608i −0.0328714 + 0.0126819i
\(96\) 0.878147 + 5.58828i 0.0896255 + 0.570351i
\(97\) 13.4335 + 2.12767i 1.36397 + 0.216032i 0.795141 0.606424i \(-0.207397\pi\)
0.568829 + 0.822456i \(0.307397\pi\)
\(98\) 2.31082 8.99098i 0.233428 0.908226i
\(99\) 1.87327 0.188271
\(100\) 0.807956 9.96731i 0.0807956 0.996731i
\(101\) 8.89432 0.885018 0.442509 0.896764i \(-0.354088\pi\)
0.442509 + 0.896764i \(0.354088\pi\)
\(102\) 1.37283 5.34144i 0.135930 0.528881i
\(103\) 0.918328 + 0.145449i 0.0904855 + 0.0143315i 0.201513 0.979486i \(-0.435414\pi\)
−0.111027 + 0.993817i \(0.535414\pi\)
\(104\) 0.408503 1.40226i 0.0400570 0.137503i
\(105\) −0.0797439 1.47398i −0.00778221 0.143845i
\(106\) 1.94055 4.48136i 0.188483 0.435268i
\(107\) −13.1698 + 13.1698i −1.27317 + 1.27317i −0.328751 + 0.944417i \(0.606628\pi\)
−0.944417 + 0.328751i \(0.893372\pi\)
\(108\) −1.12336 1.65471i −0.108096 0.159224i
\(109\) −9.23857 3.00179i −0.884895 0.287520i −0.168907 0.985632i \(-0.554024\pi\)
−0.715988 + 0.698112i \(0.754024\pi\)
\(110\) −2.90055 + 5.16510i −0.276557 + 0.492473i
\(111\) −0.248070 + 0.0806028i −0.0235457 + 0.00765048i
\(112\) −2.57643 0.578527i −0.243450 0.0546656i
\(113\) 4.23938 + 8.32026i 0.398808 + 0.782704i 0.999864 0.0165027i \(-0.00525322\pi\)
−0.601056 + 0.799207i \(0.705253\pi\)
\(114\) −0.110514 0.186972i −0.0103505 0.0175115i
\(115\) −6.44354 11.1171i −0.600863 1.03668i
\(116\) −0.933826 7.42096i −0.0867036 0.689019i
\(117\) 0.0807803 + 0.510027i 0.00746814 + 0.0471520i
\(118\) 10.3828 16.3520i 0.955817 1.50532i
\(119\) 2.08272 + 1.51318i 0.190923 + 0.138713i
\(120\) 6.30186 0.535279i 0.575279 0.0488641i
\(121\) −6.06023 + 4.40302i −0.550930 + 0.400274i
\(122\) 0.230842 + 3.68339i 0.0208995 + 0.333479i
\(123\) −4.44955 + 8.73273i −0.401202 + 0.787404i
\(124\) 15.1507 7.12040i 1.36057 0.639431i
\(125\) −11.0514 1.69303i −0.988468 0.151429i
\(126\) 0.911153 0.203435i 0.0811719 0.0181234i
\(127\) 1.83675 + 0.935873i 0.162986 + 0.0830453i 0.533580 0.845749i \(-0.320846\pi\)
−0.370595 + 0.928795i \(0.620846\pi\)
\(128\) 2.13885 11.1097i 0.189050 0.981968i
\(129\) 1.04995 + 1.44513i 0.0924428 + 0.127237i
\(130\) −1.53136 0.566987i −0.134309 0.0497280i
\(131\) 5.23162 7.20070i 0.457088 0.629128i −0.516813 0.856098i \(-0.672882\pi\)
0.973902 + 0.226970i \(0.0728819\pi\)
\(132\) −3.52443 1.27081i −0.306762 0.110609i
\(133\) 0.100135 0.0158598i 0.00868280 0.00137522i
\(134\) −0.706432 0.0669504i −0.0610264 0.00578364i
\(135\) −1.93460 + 1.12130i −0.166504 + 0.0965064i
\(136\) −6.20646 + 9.11824i −0.532199 + 0.781883i
\(137\) −3.17579 + 1.61814i −0.271326 + 0.138247i −0.584360 0.811494i \(-0.698654\pi\)
0.313034 + 0.949742i \(0.398654\pi\)
\(138\) 6.26302 5.17866i 0.533144 0.440837i
\(139\) −4.51261 13.8884i −0.382755 1.17800i −0.938096 0.346376i \(-0.887412\pi\)
0.555341 0.831623i \(-0.312588\pi\)
\(140\) −0.849896 + 2.82728i −0.0718293 + 0.238949i
\(141\) 2.35605 7.25117i 0.198415 0.610659i
\(142\) −2.96064 7.48302i −0.248451 0.627961i
\(143\) 0.684004 + 0.684004i 0.0571992 + 0.0571992i
\(144\) 0.990998 + 3.87530i 0.0825832 + 0.322941i
\(145\) −8.35010 + 0.451751i −0.693438 + 0.0375159i
\(146\) −17.0578 15.0458i −1.41171 1.24520i
\(147\) 1.02687 6.48339i 0.0846947 0.534741i
\(148\) 0.521407 + 0.0166392i 0.0428594 + 0.00136773i
\(149\) 16.6477i 1.36383i 0.731431 + 0.681916i \(0.238853\pi\)
−0.731431 + 0.681916i \(0.761147\pi\)
\(150\) −0.0962107 7.07041i −0.00785557 0.577297i
\(151\) 3.92894i 0.319733i −0.987139 0.159866i \(-0.948894\pi\)
0.987139 0.159866i \(-0.0511063\pi\)
\(152\) 0.0810842 + 0.426746i 0.00657680 + 0.0346137i
\(153\) 0.610050 3.85171i 0.0493196 0.311392i
\(154\) 1.15686 1.31156i 0.0932225 0.105688i
\(155\) −6.73687 17.4620i −0.541119 1.40258i
\(156\) 0.194014 1.01438i 0.0155335 0.0812155i
\(157\) 15.5356 + 15.5356i 1.23987 + 1.23987i 0.960052 + 0.279822i \(0.0902755\pi\)
0.279822 + 0.960052i \(0.409724\pi\)
\(158\) −6.79894 + 2.68998i −0.540894 + 0.214003i
\(159\) 1.06708 3.28413i 0.0846248 0.260448i
\(160\) −12.2197 3.26802i −0.966049 0.258360i
\(161\) 1.17226 + 3.60784i 0.0923870 + 0.284338i
\(162\) −0.901189 1.08989i −0.0708041 0.0856298i
\(163\) −1.83685 + 0.935924i −0.143874 + 0.0733072i −0.524445 0.851444i \(-0.675727\pi\)
0.380572 + 0.924751i \(0.375727\pi\)
\(164\) 14.2957 13.4115i 1.11631 1.04726i
\(165\) −1.69726 + 3.82949i −0.132131 + 0.298126i
\(166\) −1.51691 + 16.0057i −0.117735 + 1.24229i
\(167\) 11.1843 1.77142i 0.865468 0.137077i 0.292113 0.956384i \(-0.405642\pi\)
0.573355 + 0.819307i \(0.305642\pi\)
\(168\) −1.85228 0.235368i −0.142906 0.0181590i
\(169\) 7.48447 10.3015i 0.575729 0.792423i
\(170\) 9.67557 + 7.64601i 0.742082 + 0.586422i
\(171\) −0.0902702 0.124246i −0.00690314 0.00950135i
\(172\) −0.995047 3.43119i −0.0758716 0.261626i
\(173\) 11.4844 + 5.85160i 0.873144 + 0.444889i 0.832332 0.554278i \(-0.187005\pi\)
0.0408123 + 0.999167i \(0.487005\pi\)
\(174\) −1.15246 5.16170i −0.0873679 0.391308i
\(175\) 3.08547 + 1.17246i 0.233240 + 0.0886297i
\(176\) 5.76888 + 4.78187i 0.434846 + 0.360447i
\(177\) 6.21809 12.2037i 0.467381 0.917286i
\(178\) 25.4235 1.59332i 1.90557 0.119424i
\(179\) −5.65626 + 4.10951i −0.422769 + 0.307160i −0.778751 0.627333i \(-0.784146\pi\)
0.355982 + 0.934493i \(0.384146\pi\)
\(180\) 4.40050 0.797243i 0.327994 0.0594230i
\(181\) 1.50517 + 1.09357i 0.111878 + 0.0812843i 0.642318 0.766439i \(-0.277973\pi\)
−0.530439 + 0.847723i \(0.677973\pi\)
\(182\) 0.406979 + 0.258415i 0.0301673 + 0.0191550i
\(183\) 0.408241 + 2.57753i 0.0301781 + 0.190537i
\(184\) −15.2966 + 5.49454i −1.12768 + 0.405063i
\(185\) 0.0599863 0.580154i 0.00441028 0.0426538i
\(186\) 10.1903 6.02321i 0.747192 0.441643i
\(187\) −3.31650 6.50900i −0.242527 0.475986i
\(188\) −9.35186 + 12.0443i −0.682055 + 0.878419i
\(189\) 0.627836 0.203996i 0.0456683 0.0148385i
\(190\) 0.482353 0.0565171i 0.0349936 0.00410018i
\(191\) 3.81762 + 1.24042i 0.276233 + 0.0897536i 0.443858 0.896097i \(-0.353610\pi\)
−0.167624 + 0.985851i \(0.553610\pi\)
\(192\) 0.764462 7.96339i 0.0551703 0.574708i
\(193\) −7.39886 + 7.39886i −0.532582 + 0.532582i −0.921340 0.388758i \(-0.872904\pi\)
0.388758 + 0.921340i \(0.372904\pi\)
\(194\) −17.6509 7.64331i −1.26726 0.548758i
\(195\) −1.11583 0.296967i −0.0799061 0.0212662i
\(196\) −6.33025 + 11.5014i −0.452160 + 0.821532i
\(197\) 19.1368 + 3.03096i 1.36344 + 0.215947i 0.794915 0.606721i \(-0.207515\pi\)
0.568522 + 0.822668i \(0.307515\pi\)
\(198\) −2.56581 0.659453i −0.182345 0.0468653i
\(199\) 26.2562 1.86126 0.930628 0.365968i \(-0.119262\pi\)
0.930628 + 0.365968i \(0.119262\pi\)
\(200\) −4.61548 + 13.3678i −0.326364 + 0.945244i
\(201\) −0.501761 −0.0353915
\(202\) −12.1825 3.13110i −0.857160 0.220303i
\(203\) 2.43838 + 0.386201i 0.171141 + 0.0271060i
\(204\) −3.76072 + 6.83287i −0.263303 + 0.478397i
\(205\) −13.8207 17.0083i −0.965279 1.18791i
\(206\) −1.20663 0.522503i −0.0840698 0.0364045i
\(207\) 4.06337 4.06337i 0.282424 0.282424i
\(208\) −1.05317 + 1.77687i −0.0730241 + 0.123204i
\(209\) −0.273610 0.0889014i −0.0189260 0.00614944i
\(210\) −0.409663 + 2.04697i −0.0282694 + 0.141255i
\(211\) −20.9571 + 6.80937i −1.44274 + 0.468776i −0.922752 0.385394i \(-0.874065\pi\)
−0.519993 + 0.854171i \(0.674065\pi\)
\(212\) −4.23555 + 5.45498i −0.290899 + 0.374649i
\(213\) −2.58338 5.07017i −0.177010 0.347402i
\(214\) 22.6748 13.4024i 1.55002 0.916169i
\(215\) −3.90555 + 0.837046i −0.266356 + 0.0570861i
\(216\) 0.956158 + 2.66191i 0.0650583 + 0.181120i
\(217\) 0.864392 + 5.45755i 0.0586787 + 0.370483i
\(218\) 11.5973 + 7.36384i 0.785470 + 0.498742i
\(219\) −13.0117 9.45352i −0.879246 0.638810i
\(220\) 5.79116 6.05353i 0.390440 0.408129i
\(221\) 1.62916 1.18365i 0.109589 0.0796212i
\(222\) 0.368156 0.0230727i 0.0247090 0.00154854i
\(223\) −9.67185 + 18.9821i −0.647675 + 1.27113i 0.300620 + 0.953744i \(0.402806\pi\)
−0.948295 + 0.317390i \(0.897194\pi\)
\(224\) 3.32527 + 1.69939i 0.222179 + 0.113546i
\(225\) −0.539434 4.97082i −0.0359622 0.331388i
\(226\) −2.87767 12.8886i −0.191420 0.857340i
\(227\) −18.6257 9.49027i −1.23623 0.629891i −0.291134 0.956682i \(-0.594033\pi\)
−0.945097 + 0.326791i \(0.894033\pi\)
\(228\) 0.0855500 + 0.294999i 0.00566569 + 0.0195368i
\(229\) −10.5496 14.5203i −0.697140 0.959531i −0.999979 0.00648916i \(-0.997934\pi\)
0.302839 0.953042i \(-0.402066\pi\)
\(230\) 4.91210 + 17.4955i 0.323895 + 1.15362i
\(231\) 0.726874 1.00046i 0.0478248 0.0658252i
\(232\) −1.33336 + 10.4932i −0.0875395 + 0.688913i
\(233\) −6.11304 + 0.968210i −0.400478 + 0.0634295i −0.353425 0.935463i \(-0.614983\pi\)
−0.0470533 + 0.998892i \(0.514983\pi\)
\(234\) 0.0689016 0.727020i 0.00450424 0.0475268i
\(235\) 12.6888 + 11.3863i 0.827724 + 0.742759i
\(236\) −19.9778 + 18.7421i −1.30044 + 1.22001i
\(237\) −4.60666 + 2.34721i −0.299235 + 0.152468i
\(238\) −2.32001 2.80579i −0.150384 0.181872i
\(239\) −1.34493 4.13926i −0.0869961 0.267746i 0.898089 0.439813i \(-0.144955\pi\)
−0.985085 + 0.172067i \(0.944955\pi\)
\(240\) −8.82009 1.48529i −0.569334 0.0958752i
\(241\) −0.568954 + 1.75106i −0.0366496 + 0.112796i −0.967708 0.252075i \(-0.918887\pi\)
0.931058 + 0.364871i \(0.118887\pi\)
\(242\) 9.85069 3.89740i 0.633227 0.250534i
\(243\) −0.707107 0.707107i −0.0453609 0.0453609i
\(244\) 0.980492 5.12640i 0.0627696 0.328184i
\(245\) 12.3235 + 7.97342i 0.787320 + 0.509403i
\(246\) 9.16874 10.3948i 0.584578 0.662749i
\(247\) 0.0124060 0.0783283i 0.000789374 0.00498391i
\(248\) −23.2585 + 4.41925i −1.47692 + 0.280623i
\(249\) 11.3685i 0.720449i
\(250\) 14.5411 + 6.20939i 0.919660 + 0.392717i
\(251\) 28.1716i 1.77817i 0.457737 + 0.889087i \(0.348660\pi\)
−0.457737 + 0.889087i \(0.651340\pi\)
\(252\) −1.31962 0.0421118i −0.0831282 0.00265280i
\(253\) 1.68397 10.6322i 0.105870 0.668439i
\(254\) −2.18634 1.92846i −0.137183 0.121002i
\(255\) 7.32125 + 4.73691i 0.458474 + 0.296637i
\(256\) −6.84056 + 14.4640i −0.427535 + 0.903999i
\(257\) −7.52224 7.52224i −0.469224 0.469224i 0.432439 0.901663i \(-0.357653\pi\)
−0.901663 + 0.432439i \(0.857653\pi\)
\(258\) −0.929379 2.34901i −0.0578606 0.146243i
\(259\) −0.0532096 + 0.163762i −0.00330628 + 0.0101757i
\(260\) 1.89790 + 1.31569i 0.117703 + 0.0815956i
\(261\) −1.15564 3.55671i −0.0715325 0.220155i
\(262\) −9.70062 + 8.02109i −0.599306 + 0.495544i
\(263\) 9.95605 5.07286i 0.613916 0.312806i −0.119241 0.992865i \(-0.538046\pi\)
0.733157 + 0.680059i \(0.238046\pi\)
\(264\) 4.38004 + 2.98134i 0.269573 + 0.183489i
\(265\) 5.74688 + 5.15696i 0.353028 + 0.316790i
\(266\) −0.142738 0.0135276i −0.00875181 0.000829433i
\(267\) 17.7907 2.81776i 1.08877 0.172444i
\(268\) 0.944030 + 0.340389i 0.0576658 + 0.0207926i
\(269\) 6.02380 8.29105i 0.367278 0.505514i −0.584881 0.811119i \(-0.698859\pi\)
0.952158 + 0.305605i \(0.0988587\pi\)
\(270\) 3.04455 0.854802i 0.185286 0.0520216i
\(271\) 1.40293 + 1.93096i 0.0852217 + 0.117298i 0.849499 0.527590i \(-0.176904\pi\)
−0.764278 + 0.644888i \(0.776904\pi\)
\(272\) 11.7109 10.3044i 0.710077 0.624793i
\(273\) 0.303734 + 0.154760i 0.0183828 + 0.00936652i
\(274\) 4.91951 1.09839i 0.297198 0.0663560i
\(275\) −6.29079 6.93935i −0.379349 0.418459i
\(276\) −10.4015 + 4.88841i −0.626097 + 0.294248i
\(277\) 1.04875 2.05829i 0.0630135 0.123671i −0.857352 0.514731i \(-0.827892\pi\)
0.920365 + 0.391060i \(0.127892\pi\)
\(278\) 1.29174 + 20.6115i 0.0774737 + 1.23620i
\(279\) 6.77167 4.91991i 0.405409 0.294547i
\(280\) 2.15940 3.57333i 0.129049 0.213547i
\(281\) −13.4390 9.76398i −0.801701 0.582470i 0.109711 0.993963i \(-0.465007\pi\)
−0.911413 + 0.411493i \(0.865007\pi\)
\(282\) −5.77973 + 9.10251i −0.344178 + 0.542046i
\(283\) 3.69142 + 23.3067i 0.219432 + 1.38544i 0.813752 + 0.581212i \(0.197421\pi\)
−0.594320 + 0.804228i \(0.702579\pi\)
\(284\) 1.42091 + 11.2917i 0.0843153 + 0.670040i
\(285\) 0.335783 0.0719657i 0.0198901 0.00426288i
\(286\) −0.696086 1.17767i −0.0411605 0.0696371i
\(287\) 2.93735 + 5.76487i 0.173386 + 0.340290i
\(288\) 0.00686393 5.65685i 0.000404461 0.333333i
\(289\) 1.70448 0.553819i 0.100264 0.0325776i
\(290\) 11.5962 + 2.32075i 0.680950 + 0.136279i
\(291\) −12.9353 4.20294i −0.758282 0.246381i
\(292\) 18.0674 + 26.6131i 1.05731 + 1.55741i
\(293\) −18.6714 + 18.6714i −1.09080 + 1.09080i −0.0953524 + 0.995444i \(0.530398\pi\)
−0.995444 + 0.0953524i \(0.969602\pi\)
\(294\) −3.68887 + 8.51880i −0.215139 + 0.496826i
\(295\) 19.3140 + 23.7686i 1.12450 + 1.38386i
\(296\) −0.708312 0.206343i −0.0411698 0.0119934i
\(297\) −1.85021 0.293044i −0.107360 0.0170041i
\(298\) 5.86053 22.8023i 0.339492 1.32090i
\(299\) 2.96739 0.171609
\(300\) −2.35724 + 9.71820i −0.136095 + 0.561081i
\(301\) 1.17920 0.0679682
\(302\) −1.38312 + 5.38146i −0.0795894 + 0.309668i
\(303\) −8.78482 1.39138i −0.504675 0.0799326i
\(304\) 0.0391678 0.613058i 0.00224643 0.0351613i
\(305\) −5.63909 1.50079i −0.322893 0.0859349i
\(306\) −2.19151 + 5.06092i −0.125280 + 0.289313i
\(307\) −0.833602 + 0.833602i −0.0475762 + 0.0475762i −0.730495 0.682918i \(-0.760710\pi\)
0.682918 + 0.730495i \(0.260710\pi\)
\(308\) −2.04626 + 1.38919i −0.116597 + 0.0791563i
\(309\) −0.884268 0.287316i −0.0503043 0.0163449i
\(310\) 3.08029 + 26.2892i 0.174949 + 1.49313i
\(311\) 21.7855 7.07853i 1.23534 0.401387i 0.382695 0.923875i \(-0.374996\pi\)
0.852647 + 0.522488i \(0.174996\pi\)
\(312\) −0.622836 + 1.32110i −0.0352611 + 0.0747924i
\(313\) −7.42212 14.5667i −0.419523 0.823360i −0.999959 0.00905407i \(-0.997118\pi\)
0.580436 0.814306i \(-0.302882\pi\)
\(314\) −15.8100 26.7481i −0.892211 1.50948i
\(315\) −0.151818 + 1.46830i −0.00855400 + 0.0827295i
\(316\) 10.2595 1.29101i 0.577139 0.0726251i
\(317\) −2.08040 13.1351i −0.116847 0.737742i −0.974645 0.223756i \(-0.928168\pi\)
0.857798 0.513986i \(-0.171832\pi\)
\(318\) −2.61770 + 4.12262i −0.146793 + 0.231185i
\(319\) −5.66761 4.11776i −0.317325 0.230550i
\(320\) 15.5868 + 8.77793i 0.871328 + 0.490701i
\(321\) 15.0678 10.9474i 0.841003 0.611025i
\(322\) −0.335562 5.35433i −0.0187001 0.298385i
\(323\) −0.271898 + 0.533630i −0.0151288 + 0.0296919i
\(324\) 0.850680 + 1.81007i 0.0472600 + 0.100559i
\(325\) 1.61807 2.01201i 0.0897543 0.111606i
\(326\) 2.84541 0.635300i 0.157593 0.0351860i
\(327\) 8.65525 + 4.41007i 0.478636 + 0.243877i
\(328\) −24.3021 + 13.3372i −1.34186 + 0.736422i
\(329\) −2.95842 4.07192i −0.163103 0.224492i
\(330\) 3.67284 4.64776i 0.202183 0.255851i
\(331\) −10.6400 + 14.6447i −0.584826 + 0.804944i −0.994214 0.107417i \(-0.965742\pi\)
0.409388 + 0.912360i \(0.365742\pi\)
\(332\) 7.71226 21.3890i 0.423265 1.17388i
\(333\) 0.257625 0.0408038i 0.0141177 0.00223603i
\(334\) −15.9427 1.51093i −0.872347 0.0826746i
\(335\) 0.454616 1.02574i 0.0248383 0.0560422i
\(336\) 2.45421 + 0.974446i 0.133888 + 0.0531604i
\(337\) −9.56642 + 4.87434i −0.521116 + 0.265522i −0.694703 0.719297i \(-0.744464\pi\)
0.173587 + 0.984819i \(0.444464\pi\)
\(338\) −13.8779 + 11.4752i −0.754860 + 0.624166i
\(339\) −2.88561 8.88101i −0.156725 0.482350i
\(340\) −10.5610 13.8788i −0.572748 0.752686i
\(341\) 4.84531 14.9123i 0.262388 0.807547i
\(342\) 0.0799041 + 0.201958i 0.00432072 + 0.0109206i
\(343\) −6.33168 6.33168i −0.341879 0.341879i
\(344\) 0.155022 + 5.04998i 0.00835823 + 0.272277i
\(345\) 4.62511 + 11.9883i 0.249007 + 0.645426i
\(346\) −13.6702 12.0578i −0.734916 0.648233i
\(347\) 3.88238 24.5124i 0.208417 1.31589i −0.632428 0.774619i \(-0.717942\pi\)
0.840845 0.541275i \(-0.182058\pi\)
\(348\) −0.238565 + 7.47568i −0.0127884 + 0.400738i
\(349\) 4.03089i 0.215768i −0.994163 0.107884i \(-0.965592\pi\)
0.994163 0.107884i \(-0.0344076\pi\)
\(350\) −3.81342 2.69211i −0.203836 0.143899i
\(351\) 0.516384i 0.0275625i
\(352\) −6.21825 8.58056i −0.331434 0.457345i
\(353\) 3.68545 23.2690i 0.196157 1.23848i −0.671381 0.741112i \(-0.734299\pi\)
0.867538 0.497372i \(-0.165701\pi\)
\(354\) −12.8130 + 14.5264i −0.681004 + 0.772070i
\(355\) 12.7055 0.687383i 0.674338 0.0364825i
\(356\) −35.3835 6.76755i −1.87532 0.358680i
\(357\) −1.82036 1.82036i −0.0963438 0.0963438i
\(358\) 9.19405 3.63760i 0.485921 0.192253i
\(359\) −9.50212 + 29.2445i −0.501503 + 1.54347i 0.305069 + 0.952330i \(0.401321\pi\)
−0.806571 + 0.591137i \(0.798679\pi\)
\(360\) −6.30801 0.457139i −0.332461 0.0240934i
\(361\) −5.86403 18.0476i −0.308633 0.949876i
\(362\) −1.67665 2.02773i −0.0881229 0.106575i
\(363\) 6.67440 3.40078i 0.350315 0.178495i
\(364\) −0.466468 0.497221i −0.0244495 0.0260615i
\(365\) 31.1147 18.0342i 1.62862 0.943955i
\(366\) 0.348210 3.67416i 0.0182012 0.192051i
\(367\) 16.4328 2.60269i 0.857783 0.135859i 0.287976 0.957638i \(-0.407018\pi\)
0.569807 + 0.821778i \(0.307018\pi\)
\(368\) 22.8860 2.14095i 1.19301 0.111605i
\(369\) 5.76087 7.92915i 0.299899 0.412775i
\(370\) −0.286397 + 0.773519i −0.0148891 + 0.0402133i
\(371\) −1.33990 1.84421i −0.0695642 0.0957469i
\(372\) −16.0781 + 4.66265i −0.833609 + 0.241747i
\(373\) 11.9791 + 6.10365i 0.620254 + 0.316035i 0.735730 0.677275i \(-0.236839\pi\)
−0.115476 + 0.993310i \(0.536839\pi\)
\(374\) 2.25122 + 10.0829i 0.116408 + 0.521374i
\(375\) 10.6505 + 3.40100i 0.549990 + 0.175627i
\(376\) 17.0492 13.2049i 0.879246 0.680988i
\(377\) 0.876721 1.72066i 0.0451534 0.0886185i
\(378\) −0.931759 + 0.0583943i −0.0479245 + 0.00300348i
\(379\) −20.6167 + 14.9789i −1.05901 + 0.769415i −0.973905 0.226957i \(-0.927122\pi\)
−0.0851045 + 0.996372i \(0.527122\pi\)
\(380\) −0.680574 0.0923928i −0.0349127 0.00473965i
\(381\) −1.66774 1.21168i −0.0854408 0.0620764i
\(382\) −4.79232 3.04293i −0.245196 0.155690i
\(383\) −3.55759 22.4617i −0.181784 1.14774i −0.894759 0.446550i \(-0.852652\pi\)
0.712975 0.701190i \(-0.247348\pi\)
\(384\) −3.85046 + 10.6383i −0.196493 + 0.542885i
\(385\) 1.38664 + 2.39239i 0.0706696 + 0.121927i
\(386\) 12.7389 7.52956i 0.648391 0.383245i
\(387\) −0.810954 1.59159i −0.0412231 0.0809049i
\(388\) 21.4857 + 16.6827i 1.09077 + 0.846937i
\(389\) 6.63915 2.15719i 0.336618 0.109374i −0.135830 0.990732i \(-0.543370\pi\)
0.472449 + 0.881358i \(0.343370\pi\)
\(390\) 1.42381 + 0.799563i 0.0720972 + 0.0404875i
\(391\) −21.3128 6.92496i −1.07784 0.350210i
\(392\) 12.7194 13.5251i 0.642427 0.683118i
\(393\) −6.29364 + 6.29364i −0.317472 + 0.317472i
\(394\) −25.1446 10.8883i −1.26677 0.548543i
\(395\) −0.624545 11.5440i −0.0314242 0.580841i
\(396\) 3.28224 + 1.80650i 0.164939 + 0.0907802i
\(397\) −13.2885 2.10468i −0.666928 0.105631i −0.186215 0.982509i \(-0.559622\pi\)
−0.480713 + 0.876878i \(0.659622\pi\)
\(398\) −35.9631 9.24306i −1.80267 0.463313i
\(399\) −0.101383 −0.00507550
\(400\) 11.0277 16.6850i 0.551385 0.834251i
\(401\) −8.16004 −0.407493 −0.203746 0.979024i \(-0.565312\pi\)
−0.203746 + 0.979024i \(0.565312\pi\)
\(402\) 0.687261 + 0.176636i 0.0342775 + 0.00880983i
\(403\) 4.26905 + 0.676151i 0.212656 + 0.0336815i
\(404\) 15.5841 + 8.57731i 0.775340 + 0.426737i
\(405\) 2.08619 0.804859i 0.103664 0.0399938i
\(406\) −3.20389 1.38737i −0.159006 0.0688540i
\(407\) 0.345504 0.345504i 0.0171260 0.0171260i
\(408\) 7.55645 8.03508i 0.374100 0.397795i
\(409\) 29.1233 + 9.46272i 1.44005 + 0.467901i 0.921914 0.387395i \(-0.126625\pi\)
0.518139 + 0.855297i \(0.326625\pi\)
\(410\) 12.9427 + 28.1616i 0.639194 + 1.39080i
\(411\) 3.38982 1.10142i 0.167208 0.0543290i
\(412\) 1.46878 + 1.14044i 0.0723616 + 0.0561857i
\(413\) −4.10485 8.05622i −0.201986 0.396421i
\(414\) −6.99604 + 4.13515i −0.343836 + 0.203232i
\(415\) −23.2404 10.3003i −1.14083 0.505622i
\(416\) 2.06804 2.06303i 0.101394 0.101148i
\(417\) 2.28443 + 14.4233i 0.111869 + 0.706314i
\(418\) 0.343467 + 0.218088i 0.0167995 + 0.0106670i
\(419\) −8.28642 6.02044i −0.404818 0.294118i 0.366683 0.930346i \(-0.380494\pi\)
−0.771501 + 0.636229i \(0.780494\pi\)
\(420\) 1.28172 2.65952i 0.0625414 0.129771i
\(421\) 3.46287 2.51593i 0.168770 0.122619i −0.500194 0.865913i \(-0.666738\pi\)
0.668964 + 0.743295i \(0.266738\pi\)
\(422\) 31.1020 1.94919i 1.51402 0.0948853i
\(423\) −3.46137 + 6.79333i −0.168298 + 0.330303i
\(424\) 7.72176 5.98061i 0.375002 0.290444i
\(425\) −16.3169 + 10.6749i −0.791488 + 0.517807i
\(426\) 1.75358 + 7.85403i 0.0849614 + 0.380529i
\(427\) 1.53499 + 0.782116i 0.0742833 + 0.0378492i
\(428\) −35.7757 + 10.3750i −1.72928 + 0.501493i
\(429\) −0.568581 0.782584i −0.0274513 0.0377835i
\(430\) 5.64409 + 0.228382i 0.272182 + 0.0110136i
\(431\) 8.79922 12.1111i 0.423844 0.583371i −0.542683 0.839938i \(-0.682591\pi\)
0.966526 + 0.256567i \(0.0825914\pi\)
\(432\) −0.372567 3.98261i −0.0179252 0.191613i
\(433\) 11.6158 1.83976i 0.558218 0.0884130i 0.129051 0.991638i \(-0.458807\pi\)
0.429167 + 0.903225i \(0.358807\pi\)
\(434\) 0.737284 7.77950i 0.0353908 0.373428i
\(435\) 8.31797 + 0.860055i 0.398816 + 0.0412365i
\(436\) −13.2925 14.1689i −0.636596 0.678566i
\(437\) −0.786336 + 0.400658i −0.0376156 + 0.0191661i
\(438\) 14.4941 + 17.5290i 0.692554 + 0.837568i
\(439\) −6.49959 20.0037i −0.310209 0.954724i −0.977682 0.210090i \(-0.932624\pi\)
0.667473 0.744634i \(-0.267376\pi\)
\(440\) −10.0632 + 6.25283i −0.479744 + 0.298092i
\(441\) −2.02845 + 6.24293i −0.0965929 + 0.297282i
\(442\) −2.64814 + 1.04773i −0.125959 + 0.0498355i
\(443\) 14.6462 + 14.6462i 0.695864 + 0.695864i 0.963516 0.267652i \(-0.0862477\pi\)
−0.267652 + 0.963516i \(0.586248\pi\)
\(444\) −0.512384 0.0980003i −0.0243167 0.00465089i
\(445\) −10.3587 + 38.9221i −0.491051 + 1.84509i
\(446\) 19.9298 22.5949i 0.943705 1.06990i
\(447\) 2.60427 16.4427i 0.123178 0.777714i
\(448\) −3.95637 3.49826i −0.186921 0.165277i
\(449\) 16.9769i 0.801188i 0.916256 + 0.400594i \(0.131196\pi\)
−0.916256 + 0.400594i \(0.868804\pi\)
\(450\) −1.01103 + 6.99842i −0.0476604 + 0.329908i
\(451\) 18.3599i 0.864532i
\(452\) −0.595690 + 18.6666i −0.0280189 + 0.878002i
\(453\) −0.614621 + 3.88057i −0.0288774 + 0.182325i
\(454\) 22.1707 + 19.5557i 1.04052 + 0.917793i
\(455\) −0.591569 + 0.480699i −0.0277332 + 0.0225355i
\(456\) −0.0133281 0.434176i −0.000624148 0.0203322i
\(457\) −9.33909 9.33909i −0.436864 0.436864i 0.454091 0.890955i \(-0.349964\pi\)
−0.890955 + 0.454091i \(0.849964\pi\)
\(458\) 9.33819 + 23.6023i 0.436345 + 1.10286i
\(459\) −1.20508 + 3.70885i −0.0562483 + 0.173114i
\(460\) −0.569117 25.6927i −0.0265352 1.19793i
\(461\) 9.65012 + 29.7000i 0.449451 + 1.38327i 0.877528 + 0.479526i \(0.159191\pi\)
−0.428077 + 0.903742i \(0.640809\pi\)
\(462\) −1.34779 + 1.11444i −0.0627049 + 0.0518484i
\(463\) −9.29083 + 4.73391i −0.431781 + 0.220004i −0.656353 0.754454i \(-0.727902\pi\)
0.224572 + 0.974458i \(0.427902\pi\)
\(464\) 5.52026 13.9031i 0.256272 0.645437i
\(465\) 3.92228 + 18.3008i 0.181891 + 0.848682i
\(466\) 8.71386 + 0.825836i 0.403662 + 0.0382561i
\(467\) −15.0045 + 2.37648i −0.694327 + 0.109971i −0.493616 0.869680i \(-0.664325\pi\)
−0.200711 + 0.979651i \(0.564325\pi\)
\(468\) −0.350309 + 0.971542i −0.0161931 + 0.0449095i
\(469\) −0.194695 + 0.267975i −0.00899019 + 0.0123739i
\(470\) −13.3714 20.0626i −0.616778 0.925420i
\(471\) −12.9140 17.7746i −0.595046 0.819011i
\(472\) 33.9614 18.6382i 1.56320 0.857894i
\(473\) −2.98147 1.51914i −0.137088 0.0698500i
\(474\) 7.13604 1.59327i 0.327769 0.0731815i
\(475\) −0.157114 + 0.751639i −0.00720891 + 0.0344876i
\(476\) 2.18998 + 4.65980i 0.100377 + 0.213582i
\(477\) −1.56769 + 3.07677i −0.0717797 + 0.140876i
\(478\) 0.384988 + 6.14299i 0.0176089 + 0.280974i
\(479\) 23.5993 17.1459i 1.07828 0.783416i 0.100897 0.994897i \(-0.467829\pi\)
0.977382 + 0.211481i \(0.0678286\pi\)
\(480\) 11.5580 + 5.13936i 0.527547 + 0.234579i
\(481\) 0.108968 + 0.0791697i 0.00496850 + 0.00360983i
\(482\) 1.39573 2.19813i 0.0635736 0.100122i
\(483\) −0.593436 3.74681i −0.0270023 0.170486i
\(484\) −14.8645 + 1.87049i −0.675659 + 0.0850224i
\(485\) 20.3119 22.6354i 0.922316 1.02782i
\(486\) 0.719598 + 1.21745i 0.0326416 + 0.0552245i
\(487\) 9.87340 + 19.3776i 0.447406 + 0.878084i 0.999032 + 0.0439926i \(0.0140078\pi\)
−0.551625 + 0.834092i \(0.685992\pi\)
\(488\) −3.14764 + 6.67646i −0.142487 + 0.302229i
\(489\) 1.96065 0.637054i 0.0886637 0.0288086i
\(490\) −14.0726 15.2595i −0.635734 0.689352i
\(491\) 31.7883 + 10.3287i 1.43459 + 0.466126i 0.920205 0.391436i \(-0.128021\pi\)
0.514382 + 0.857561i \(0.328021\pi\)
\(492\) −16.2177 + 11.0101i −0.731152 + 0.496372i
\(493\) −10.3124 + 10.3124i −0.464447 + 0.464447i
\(494\) −0.0445666 + 0.102919i −0.00200515 + 0.00463053i
\(495\) 2.27543 3.51684i 0.102273 0.158070i
\(496\) 33.4129 + 2.13472i 1.50028 + 0.0958519i
\(497\) −3.71023 0.587643i −0.166427 0.0263594i
\(498\) 4.00208 15.5714i 0.179338 0.697771i
\(499\) −34.6232 −1.54995 −0.774973 0.631994i \(-0.782237\pi\)
−0.774973 + 0.631994i \(0.782237\pi\)
\(500\) −17.7310 13.6239i −0.792954 0.609281i
\(501\) −11.3237 −0.505906
\(502\) 9.91733 38.5866i 0.442632 1.72220i
\(503\) −6.32790 1.00224i −0.282147 0.0446877i 0.0137570 0.999905i \(-0.495621\pi\)
−0.295904 + 0.955218i \(0.595621\pi\)
\(504\) 1.79266 + 0.522230i 0.0798512 + 0.0232620i
\(505\) 10.8038 16.6980i 0.480761 0.743052i
\(506\) −6.04941 + 13.9701i −0.268929 + 0.621045i
\(507\) −9.00384 + 9.00384i −0.399874 + 0.399874i
\(508\) 2.31574 + 3.41107i 0.102745 + 0.151342i
\(509\) 10.9090 + 3.54457i 0.483535 + 0.157110i 0.540633 0.841258i \(-0.318185\pi\)
−0.0570980 + 0.998369i \(0.518185\pi\)
\(510\) −8.36035 9.06546i −0.370202 0.401425i
\(511\) −10.0977 + 3.28093i −0.446694 + 0.145140i
\(512\) 14.4613 17.4032i 0.639105 0.769119i
\(513\) 0.0697224 + 0.136838i 0.00307832 + 0.00604154i
\(514\) 7.65512 + 12.9513i 0.337653 + 0.571256i
\(515\) 1.38854 1.54737i 0.0611863 0.0681855i
\(516\) 0.446040 + 3.54461i 0.0196358 + 0.156043i
\(517\) 2.23427 + 14.1066i 0.0982629 + 0.620407i
\(518\) 0.130531 0.205573i 0.00573519 0.00903237i
\(519\) −10.4276 7.57612i −0.457722 0.332555i
\(520\) −2.13638 2.47022i −0.0936865 0.108326i
\(521\) −16.5330 + 12.0119i −0.724322 + 0.526251i −0.887762 0.460303i \(-0.847741\pi\)
0.163440 + 0.986553i \(0.447741\pi\)
\(522\) 0.330805 + 5.27844i 0.0144789 + 0.231031i
\(523\) 3.52578 6.91973i 0.154172 0.302579i −0.800983 0.598688i \(-0.795689\pi\)
0.955154 + 0.296109i \(0.0956891\pi\)
\(524\) 16.1106 7.57153i 0.703795 0.330764i
\(525\) −2.86407 1.64070i −0.124998 0.0716060i
\(526\) −15.4226 + 3.44343i −0.672457 + 0.150141i
\(527\) −29.0839 14.8190i −1.26691 0.645525i
\(528\) −4.94981 5.62545i −0.215413 0.244816i
\(529\) −5.89079 8.10797i −0.256121 0.352521i
\(530\) −6.05606 9.08657i −0.263059 0.394696i
\(531\) −8.05062 + 11.0807i −0.349367 + 0.480862i
\(532\) 0.190745 + 0.0687772i 0.00826986 + 0.00298187i
\(533\) 4.99875 0.791725i 0.216520 0.0342934i
\(534\) −25.3598 2.40341i −1.09742 0.104006i
\(535\) 8.72755 + 40.7217i 0.377325 + 1.76055i
\(536\) −1.17321 0.798560i −0.0506748 0.0344925i
\(537\) 6.22949 3.17409i 0.268822 0.136972i
\(538\) −11.1695 + 9.23566i −0.481552 + 0.398177i
\(539\) 3.79984 + 11.6947i 0.163671 + 0.503726i
\(540\) −4.47104 + 0.0990376i −0.192403 + 0.00426190i
\(541\) −12.2423 + 37.6779i −0.526338 + 1.61990i 0.235317 + 0.971919i \(0.424387\pi\)
−0.761655 + 0.647983i \(0.775613\pi\)
\(542\) −1.24182 3.13871i −0.0533409 0.134819i
\(543\) −1.31556 1.31556i −0.0564563 0.0564563i
\(544\) −19.6679 + 9.99124i −0.843253 + 0.428371i
\(545\) −16.8574 + 13.6981i −0.722093 + 0.586761i
\(546\) −0.361543 0.318899i −0.0154726 0.0136476i
\(547\) 0.879288 5.55161i 0.0375956 0.237370i −0.961734 0.273986i \(-0.911658\pi\)
0.999329 + 0.0366162i \(0.0116579\pi\)
\(548\) −7.12491 0.227371i −0.304361 0.00971280i
\(549\) 2.60966i 0.111378i
\(550\) 6.17360 + 11.7194i 0.263243 + 0.499716i
\(551\) 0.574338i 0.0244676i
\(552\) 15.9678 3.03398i 0.679635 0.129135i
\(553\) −0.533922 + 3.37105i −0.0227047 + 0.143352i
\(554\) −2.16106 + 2.45005i −0.0918148 + 0.104092i
\(555\) −0.150004 + 0.563628i −0.00636731 + 0.0239247i
\(556\) 5.48663 28.6863i 0.232685 1.21657i
\(557\) −14.0532 14.0532i −0.595452 0.595452i 0.343647 0.939099i \(-0.388338\pi\)
−0.939099 + 0.343647i \(0.888338\pi\)
\(558\) −11.0071 + 4.35494i −0.465968 + 0.184359i
\(559\) 0.285039 0.877261i 0.0120559 0.0371042i
\(560\) −4.21565 + 4.13421i −0.178144 + 0.174702i
\(561\) 2.25744 + 6.94768i 0.0953092 + 0.293331i
\(562\) 14.9701 + 18.1047i 0.631475 + 0.763699i
\(563\) 30.6565 15.6203i 1.29202 0.658316i 0.333340 0.942807i \(-0.391824\pi\)
0.958679 + 0.284490i \(0.0918243\pi\)
\(564\) 11.1209 10.4330i 0.468273 0.439310i
\(565\) 20.7698 + 2.14754i 0.873791 + 0.0903475i
\(566\) 3.14860 33.2227i 0.132346 1.39645i
\(567\) −0.652018 + 0.103270i −0.0273822 + 0.00433691i
\(568\) 2.02884 15.9664i 0.0851283 0.669937i
\(569\) 16.6510 22.9181i 0.698045 0.960777i −0.301927 0.953331i \(-0.597630\pi\)
0.999972 0.00744590i \(-0.00237013\pi\)
\(570\) −0.485256 0.0196354i −0.0203251 0.000822435i
\(571\) 5.23495 + 7.20530i 0.219076 + 0.301532i 0.904383 0.426722i \(-0.140332\pi\)
−0.685307 + 0.728255i \(0.740332\pi\)
\(572\) 0.538850 + 1.85810i 0.0225304 + 0.0776910i
\(573\) −3.57657 1.82236i −0.149414 0.0761300i
\(574\) −1.99386 8.93018i −0.0832219 0.372738i
\(575\) −28.6979 1.40682i −1.19679 0.0586685i
\(576\) −2.00080 + 7.74576i −0.0833666 + 0.322740i
\(577\) 2.56439 5.03290i 0.106757 0.209522i −0.831448 0.555603i \(-0.812488\pi\)
0.938205 + 0.346080i \(0.112488\pi\)
\(578\) −2.52959 + 0.158532i −0.105217 + 0.00659406i
\(579\) 8.46521 6.15033i 0.351802 0.255599i
\(580\) −15.0662 7.26095i −0.625592 0.301495i
\(581\) 6.07156 + 4.41124i 0.251891 + 0.183009i
\(582\) 16.2379 + 10.3104i 0.673083 + 0.427381i
\(583\) 1.01192 + 6.38902i 0.0419095 + 0.264606i
\(584\) −15.3782 42.8122i −0.636353 1.77158i
\(585\) 1.05564 + 0.467865i 0.0436451 + 0.0193438i
\(586\) 32.1472 19.0013i 1.32799 0.784934i
\(587\) 1.15370 + 2.26427i 0.0476185 + 0.0934565i 0.913590 0.406637i \(-0.133299\pi\)
−0.865971 + 0.500094i \(0.833299\pi\)
\(588\) 8.05153 10.3696i 0.332040 0.427634i
\(589\) −1.22256 + 0.397234i −0.0503747 + 0.0163677i
\(590\) −18.0870 39.3549i −0.744629 1.62022i
\(591\) −18.4270 5.98730i −0.757985 0.246284i
\(592\) 0.897534 + 0.531977i 0.0368884 + 0.0218641i
\(593\) −10.2988 + 10.2988i −0.422922 + 0.422922i −0.886209 0.463287i \(-0.846670\pi\)
0.463287 + 0.886209i \(0.346670\pi\)
\(594\) 2.43106 + 1.05272i 0.0997478 + 0.0431935i
\(595\) 5.37066 2.07202i 0.220176 0.0849443i
\(596\) −16.0543 + 29.1692i −0.657611 + 1.19482i
\(597\) −25.9330 4.10738i −1.06137 0.168104i
\(598\) −4.06443 1.04462i −0.166207 0.0427177i
\(599\) 33.7978 1.38094 0.690470 0.723361i \(-0.257404\pi\)
0.690470 + 0.723361i \(0.257404\pi\)
\(600\) 6.64983 12.4812i 0.271478 0.509542i
\(601\) −1.37594 −0.0561258 −0.0280629 0.999606i \(-0.508934\pi\)
−0.0280629 + 0.999606i \(0.508934\pi\)
\(602\) −1.61515 0.415119i −0.0658288 0.0169190i
\(603\) 0.495584 + 0.0784927i 0.0201817 + 0.00319647i
\(604\) 3.78890 6.88407i 0.154168 0.280109i
\(605\) 0.904876 + 16.7256i 0.0367885 + 0.679993i
\(606\) 11.5427 + 4.99832i 0.468892 + 0.203043i
\(607\) 1.92999 1.92999i 0.0783357 0.0783357i −0.666853 0.745189i \(-0.732359\pi\)
0.745189 + 0.666853i \(0.232359\pi\)
\(608\) −0.269465 + 0.825915i −0.0109282 + 0.0334953i
\(609\) −2.34794 0.762893i −0.0951435 0.0309140i
\(610\) 7.19552 + 4.04077i 0.291338 + 0.163606i
\(611\) −3.74439 + 1.21663i −0.151482 + 0.0492194i
\(612\) 4.78332 6.16044i 0.193354 0.249021i
\(613\) −17.2610 33.8767i −0.697166 1.36827i −0.919420 0.393277i \(-0.871341\pi\)
0.222254 0.974989i \(-0.428659\pi\)
\(614\) 1.43524 0.848328i 0.0579215 0.0342357i
\(615\) 10.9899 + 18.9610i 0.443154 + 0.764580i
\(616\) 3.29180 1.18241i 0.132630 0.0476408i
\(617\) −1.12869 7.12627i −0.0454393 0.286893i 0.954496 0.298222i \(-0.0963936\pi\)
−0.999936 + 0.0113295i \(0.996394\pi\)
\(618\) 1.11004 + 0.704828i 0.0446522 + 0.0283523i
\(619\) 31.7345 + 23.0565i 1.27552 + 0.926718i 0.999408 0.0344083i \(-0.0109547\pi\)
0.276110 + 0.961126i \(0.410955\pi\)
\(620\) 5.03560 37.0926i 0.202234 1.48968i
\(621\) −4.64900 + 3.37769i −0.186558 + 0.135542i
\(622\) −32.3314 + 2.02624i −1.29637 + 0.0812450i
\(623\) 5.39832 10.5948i 0.216279 0.424472i
\(624\) 1.31817 1.59024i 0.0527689 0.0636607i
\(625\) −16.6024 + 18.6912i −0.664096 + 0.747648i
\(626\) 5.03809 + 22.5648i 0.201363 + 0.901872i
\(627\) 0.256335 + 0.130609i 0.0102370 + 0.00521602i
\(628\) 12.2387 + 42.2024i 0.488379 + 1.68406i
\(629\) −0.597888 0.822922i −0.0238393 0.0328120i
\(630\) 0.724836 1.95769i 0.0288782 0.0779961i
\(631\) 0.281835 0.387913i 0.0112197 0.0154426i −0.803370 0.595480i \(-0.796962\pi\)
0.814590 + 0.580037i \(0.196962\pi\)
\(632\) −14.5068 1.84337i −0.577051 0.0733253i
\(633\) 21.7643 3.44712i 0.865053 0.137011i
\(634\) −1.77448 + 18.7235i −0.0704736 + 0.743606i
\(635\) 3.98806 2.31149i 0.158261 0.0917289i
\(636\) 5.03675 4.72523i 0.199720 0.187368i
\(637\) −3.02020 + 1.53887i −0.119665 + 0.0609723i
\(638\) 6.31332 + 7.63527i 0.249947 + 0.302283i
\(639\) 1.75842 + 5.41187i 0.0695622 + 0.214090i
\(640\) −18.2591 17.5102i −0.721753 0.692150i
\(641\) −12.7819 + 39.3385i −0.504853 + 1.55378i 0.296164 + 0.955137i \(0.404292\pi\)
−0.801017 + 0.598641i \(0.795708\pi\)
\(642\) −24.4922 + 9.69027i −0.966630 + 0.382445i
\(643\) 3.73251 + 3.73251i 0.147196 + 0.147196i 0.776864 0.629668i \(-0.216809\pi\)
−0.629668 + 0.776864i \(0.716809\pi\)
\(644\) −1.42528 + 7.45195i −0.0561640 + 0.293648i
\(645\) 3.98841 0.215778i 0.157043 0.00849625i
\(646\) 0.560273 0.635194i 0.0220437 0.0249914i
\(647\) −6.75154 + 42.6275i −0.265430 + 1.67586i 0.390162 + 0.920746i \(0.372419\pi\)
−0.655593 + 0.755115i \(0.727581\pi\)
\(648\) −0.527972 2.77871i −0.0207407 0.109158i
\(649\) 25.6573i 1.00714i
\(650\) −2.92456 + 2.18623i −0.114711 + 0.0857508i
\(651\) 5.52558i 0.216565i
\(652\) −4.12100 0.131510i −0.161391 0.00515032i
\(653\) 5.04111 31.8283i 0.197274 1.24554i −0.667970 0.744188i \(-0.732837\pi\)
0.865244 0.501351i \(-0.167163\pi\)
\(654\) −10.3026 9.08740i −0.402863 0.355345i
\(655\) −7.16369 18.5683i −0.279909 0.725523i
\(656\) 37.9817 9.71274i 1.48293 0.379219i
\(657\) 11.3726 + 11.3726i 0.443687 + 0.443687i
\(658\) 2.61870 + 6.61876i 0.102087 + 0.258026i
\(659\) −8.49446 + 26.1432i −0.330897 + 1.01840i 0.637811 + 0.770193i \(0.279840\pi\)
−0.968708 + 0.248203i \(0.920160\pi\)
\(660\) −6.66685 + 5.07307i −0.259507 + 0.197469i
\(661\) 0.735294 + 2.26300i 0.0285996 + 0.0880205i 0.964337 0.264676i \(-0.0852649\pi\)
−0.935738 + 0.352696i \(0.885265\pi\)
\(662\) 19.7290 16.3131i 0.766788 0.634029i
\(663\) −1.79427 + 0.914225i −0.0696835 + 0.0355055i
\(664\) −18.0931 + 26.5816i −0.702149 + 1.03156i
\(665\) 0.0918571 0.207256i 0.00356207 0.00803703i
\(666\) −0.367232 0.0348036i −0.0142300 0.00134861i
\(667\) −21.2258 + 3.36183i −0.821865 + 0.130171i
\(668\) 21.3048 + 7.68189i 0.824308 + 0.297221i
\(669\) 12.5222 17.2354i 0.484137 0.666358i
\(670\) −0.983781 + 1.24492i −0.0380068 + 0.0480953i
\(671\) −2.87345 3.95496i −0.110928 0.152680i
\(672\) −3.01849 2.19866i −0.116441 0.0848151i
\(673\) 18.8496 + 9.60435i 0.726598 + 0.370220i 0.777837 0.628466i \(-0.216317\pi\)
−0.0512386 + 0.998686i \(0.516317\pi\)
\(674\) 14.8190 3.30867i 0.570808 0.127445i
\(675\) −0.244815 + 4.99400i −0.00942292 + 0.192219i
\(676\) 23.0482 10.8320i 0.886470 0.416616i
\(677\) −19.3407 + 37.9583i −0.743324 + 1.45886i 0.140028 + 0.990148i \(0.455281\pi\)
−0.883353 + 0.468709i \(0.844719\pi\)
\(678\) 0.826012 + 13.1801i 0.0317228 + 0.506180i
\(679\) −7.26387 + 5.27751i −0.278762 + 0.202532i
\(680\) 9.57952 + 22.7276i 0.367358 + 0.871565i
\(681\) 16.9118 + 12.2871i 0.648061 + 0.470844i
\(682\) −11.8862 + 18.7197i −0.455147 + 0.716813i
\(683\) 1.06653 + 6.73380i 0.0408096 + 0.257662i 0.999655 0.0262671i \(-0.00836204\pi\)
−0.958845 + 0.283929i \(0.908362\pi\)
\(684\) −0.0383487 0.304750i −0.00146630 0.0116524i
\(685\) −0.819700 + 7.92768i −0.0313191 + 0.302901i
\(686\) 6.44353 + 10.9015i 0.246015 + 0.416220i
\(687\) 8.14828 + 15.9919i 0.310876 + 0.610129i
\(688\) 1.56543 6.97152i 0.0596814 0.265787i
\(689\) −1.69587 + 0.551022i −0.0646076 + 0.0209923i
\(690\) −2.11473 18.0485i −0.0805065 0.687094i
\(691\) 16.0044 + 5.20015i 0.608836 + 0.197823i 0.597177 0.802109i \(-0.296289\pi\)
0.0116588 + 0.999932i \(0.496289\pi\)
\(692\) 14.4793 + 21.3279i 0.550422 + 0.810767i
\(693\) −0.874430 + 0.874430i −0.0332169 + 0.0332169i
\(694\) −13.9469 + 32.2079i −0.529416 + 1.22259i
\(695\) −31.5552 8.39809i −1.19696 0.318558i
\(696\) 2.95845 10.1554i 0.112140 0.384941i
\(697\) −37.7505 5.97908i −1.42990 0.226474i
\(698\) −1.41901 + 5.52110i −0.0537101 + 0.208977i
\(699\) 6.18924 0.234098
\(700\) 4.27553 + 5.02982i 0.161600 + 0.190109i
\(701\) 1.14847 0.0433772 0.0216886 0.999765i \(-0.493096\pi\)
0.0216886 + 0.999765i \(0.493096\pi\)
\(702\) −0.181784 + 0.707290i −0.00686100 + 0.0266950i
\(703\) −0.0395652 0.00626651i −0.00149223 0.000236346i
\(704\) 5.49648 + 13.9418i 0.207156 + 0.525451i
\(705\) −10.7513 13.2311i −0.404919 0.498310i
\(706\) −13.2394 + 30.5741i −0.498272 + 1.15067i
\(707\) −4.15181 + 4.15181i −0.156145 + 0.156145i
\(708\) 22.6637 15.3862i 0.851755 0.578248i
\(709\) 4.78724 + 1.55547i 0.179789 + 0.0584168i 0.397528 0.917590i \(-0.369868\pi\)
−0.217739 + 0.976007i \(0.569868\pi\)
\(710\) −17.6447 3.53125i −0.662193 0.132525i
\(711\) 4.91713 1.59767i 0.184407 0.0599174i
\(712\) 46.0822 + 21.7257i 1.72701 + 0.814203i
\(713\) −21.8367 42.8569i −0.817791 1.60500i
\(714\) 1.85252 + 3.13418i 0.0693288 + 0.117294i
\(715\) 2.11498 0.453287i 0.0790958 0.0169520i
\(716\) −13.8736 + 1.74581i −0.518482 + 0.0652439i
\(717\) 0.680846 + 4.29869i 0.0254266 + 0.160538i
\(718\) 23.3101 36.7111i 0.869924 1.37005i
\(719\) −2.05400 1.49232i −0.0766011 0.0556540i 0.548826 0.835937i \(-0.315075\pi\)
−0.625427 + 0.780283i \(0.715075\pi\)
\(720\) 8.47914 + 2.84677i 0.315999 + 0.106093i
\(721\) −0.496564 + 0.360775i −0.0184930 + 0.0134360i
\(722\) 1.67859 + 26.7842i 0.0624707 + 0.996803i
\(723\) 0.835876 1.64050i 0.0310866 0.0610108i
\(724\) 1.58268 + 3.36761i 0.0588199 + 0.125156i
\(725\) −9.29461 + 16.2250i −0.345193 + 0.602583i
\(726\) −10.3391 + 2.30843i −0.383720 + 0.0856738i
\(727\) 39.3024 + 20.0256i 1.45764 + 0.742707i 0.989981 0.141199i \(-0.0450959\pi\)
0.467664 + 0.883907i \(0.345096\pi\)
\(728\) 0.463882 + 0.845254i 0.0171926 + 0.0313272i
\(729\) 0.587785 + 0.809017i 0.0217698 + 0.0299636i
\(730\) −48.9664 + 13.7480i −1.81233 + 0.508837i
\(731\) −4.09450 + 5.63560i −0.151441 + 0.208440i
\(732\) −1.77037 + 4.90991i −0.0654346 + 0.181475i
\(733\) −25.8356 + 4.09196i −0.954260 + 0.151140i −0.614100 0.789228i \(-0.710481\pi\)
−0.340159 + 0.940368i \(0.610481\pi\)
\(734\) −23.4241 2.21997i −0.864601 0.0819406i
\(735\) −10.9245 9.80307i −0.402955 0.361592i
\(736\) −32.1006 5.12417i −1.18324 0.188879i
\(737\) 0.837487 0.426721i 0.0308492 0.0157185i
\(738\) −10.6820 + 8.83253i −0.393209 + 0.325130i
\(739\) 0.301873 + 0.929069i 0.0111046 + 0.0341764i 0.956455 0.291879i \(-0.0942804\pi\)
−0.945351 + 0.326055i \(0.894280\pi\)
\(740\) 0.664581 0.958666i 0.0244305 0.0352413i
\(741\) −0.0245065 + 0.0754232i −0.000900268 + 0.00277074i
\(742\) 1.18603 + 2.99771i 0.0435407 + 0.110049i
\(743\) −26.4861 26.4861i −0.971681 0.971681i 0.0279291 0.999610i \(-0.491109\pi\)
−0.999610 + 0.0279291i \(0.991109\pi\)
\(744\) 23.6635 0.726411i 0.867546 0.0266315i
\(745\) 31.2540 + 20.2216i 1.14506 + 0.740863i
\(746\) −14.2591 12.5772i −0.522061 0.460484i
\(747\) 1.77842 11.2285i 0.0650691 0.410830i
\(748\) 0.466013 14.6030i 0.0170391 0.533939i
\(749\) 12.2951i 0.449253i
\(750\) −13.3907 8.40768i −0.488959 0.307005i
\(751\) 41.0628i 1.49840i −0.662343 0.749201i \(-0.730438\pi\)
0.662343 0.749201i \(-0.269562\pi\)
\(752\) −28.0008 + 12.0848i −1.02108 + 0.440686i
\(753\) 4.40701 27.8247i 0.160600 1.01399i
\(754\) −1.80657 + 2.04815i −0.0657915 + 0.0745893i
\(755\) −7.37611 4.77241i −0.268444 0.173686i
\(756\) 1.29679 + 0.248027i 0.0471636 + 0.00902067i
\(757\) −21.5446 21.5446i −0.783052 0.783052i 0.197292 0.980345i \(-0.436785\pi\)
−0.980345 + 0.197292i \(0.936785\pi\)
\(758\) 33.5117 13.2588i 1.21720 0.481582i
\(759\) −3.32648 + 10.2378i −0.120743 + 0.371610i
\(760\) 0.899655 + 0.366135i 0.0326339 + 0.0132811i
\(761\) 8.21601 + 25.2863i 0.297830 + 0.916627i 0.982256 + 0.187544i \(0.0600529\pi\)
−0.684426 + 0.729082i \(0.739947\pi\)
\(762\) 1.85774 + 2.24674i 0.0672990 + 0.0813907i
\(763\) 5.71373 2.91129i 0.206851 0.105396i
\(764\) 5.49282 + 5.85495i 0.198723 + 0.211825i
\(765\) −6.49009 5.82389i −0.234650 0.210563i
\(766\) −3.03445 + 32.0182i −0.109639 + 1.15686i
\(767\) −6.98559 + 1.10641i −0.252235 + 0.0399501i
\(768\) 9.01901 13.2158i 0.325445 0.476884i
\(769\) 15.9264 21.9208i 0.574320 0.790484i −0.418738 0.908107i \(-0.637528\pi\)
0.993058 + 0.117623i \(0.0375275\pi\)
\(770\) −1.05708 3.76499i −0.0380944 0.135681i
\(771\) 6.25289 + 8.60636i 0.225192 + 0.309951i
\(772\) −20.0990 + 5.82873i −0.723380 + 0.209781i
\(773\) 43.9863 + 22.4122i 1.58208 + 0.806109i 0.999975