Properties

Label 96.2.o.a.11.10
Level 96
Weight 2
Character 96.11
Analytic conductor 0.767
Analytic rank 0
Dimension 56
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 96 = 2^{5} \cdot 3 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 96.o (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.766563859404\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{8})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 11.10
Character \(\chi\) = 96.11
Dual form 96.2.o.a.35.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.816393 + 1.15477i) q^{2} +(-1.02188 - 1.39848i) q^{3} +(-0.667005 + 1.88550i) q^{4} +(3.14689 + 1.30348i) q^{5} +(0.780671 - 2.32176i) q^{6} +(0.663471 - 0.663471i) q^{7} +(-2.72186 + 0.769068i) q^{8} +(-0.911503 + 2.85817i) q^{9} +O(q^{10})\) \(q+(0.816393 + 1.15477i) q^{2} +(-1.02188 - 1.39848i) q^{3} +(-0.667005 + 1.88550i) q^{4} +(3.14689 + 1.30348i) q^{5} +(0.780671 - 2.32176i) q^{6} +(0.663471 - 0.663471i) q^{7} +(-2.72186 + 0.769068i) q^{8} +(-0.911503 + 2.85817i) q^{9} +(1.06387 + 4.69810i) q^{10} +(-1.91929 - 0.794997i) q^{11} +(3.31844 - 0.993968i) q^{12} +(-2.31672 - 5.59306i) q^{13} +(1.30781 + 0.224506i) q^{14} +(-1.39286 - 5.73287i) q^{15} +(-3.11021 - 2.51527i) q^{16} -2.24987 q^{17} +(-4.04469 + 1.28081i) q^{18} +(3.08841 - 1.27926i) q^{19} +(-4.55670 + 5.06402i) q^{20} +(-1.60584 - 0.249861i) q^{21} +(-0.648856 - 2.86538i) q^{22} +(-4.32171 + 4.32171i) q^{23} +(3.85696 + 3.02058i) q^{24} +(4.66830 + 4.66830i) q^{25} +(4.56736 - 7.24142i) q^{26} +(4.92856 - 1.64600i) q^{27} +(0.808436 + 1.69351i) q^{28} +(-0.546766 - 1.32001i) q^{29} +(5.48305 - 6.28871i) q^{30} +2.34273i q^{31} +(0.365418 - 5.64504i) q^{32} +(0.849507 + 3.49649i) q^{33} +(-1.83678 - 2.59809i) q^{34} +(2.95269 - 1.22305i) q^{35} +(-4.78111 - 3.62505i) q^{36} +(-0.324682 + 0.783851i) q^{37} +(3.99861 + 2.52203i) q^{38} +(-5.45437 + 8.95535i) q^{39} +(-9.56786 - 1.12773i) q^{40} +(4.73908 + 4.73908i) q^{41} +(-1.02247 - 2.05837i) q^{42} +(0.951664 - 2.29752i) q^{43} +(2.77914 - 3.08856i) q^{44} +(-6.59398 + 7.80622i) q^{45} +(-8.51882 - 1.46238i) q^{46} -3.02812i q^{47} +(-0.339289 + 6.91989i) q^{48} +6.11961i q^{49} +(-1.57966 + 9.20199i) q^{50} +(2.29911 + 3.14640i) q^{51} +(12.0910 - 0.637576i) q^{52} +(3.49549 - 8.43885i) q^{53} +(5.92440 + 4.34758i) q^{54} +(-5.00353 - 5.00353i) q^{55} +(-1.29562 + 2.31613i) q^{56} +(-4.94502 - 3.01183i) q^{57} +(1.07794 - 1.70904i) q^{58} +(-3.11165 + 7.51220i) q^{59} +(11.7384 + 1.19762i) q^{60} +(-1.01639 + 0.421005i) q^{61} +(-2.70533 + 1.91259i) q^{62} +(1.29156 + 2.50107i) q^{63} +(6.81707 - 4.18660i) q^{64} -20.6205i q^{65} +(-3.34413 + 3.83550i) q^{66} +(3.46052 + 8.35443i) q^{67} +(1.50067 - 4.24213i) q^{68} +(10.4601 + 1.62755i) q^{69} +(3.82290 + 2.41121i) q^{70} +(-0.167408 - 0.167408i) q^{71} +(0.282855 - 8.48057i) q^{72} +(3.86922 - 3.86922i) q^{73} +(-1.17024 + 0.264997i) q^{74} +(1.75807 - 11.2990i) q^{75} +(0.352061 + 6.67646i) q^{76} +(-1.80085 + 0.745938i) q^{77} +(-14.7943 + 1.01252i) q^{78} +2.44740 q^{79} +(-6.50886 - 11.9694i) q^{80} +(-7.33832 - 5.21047i) q^{81} +(-1.60361 + 9.34152i) q^{82} +(5.17660 + 12.4974i) q^{83} +(1.54222 - 2.86116i) q^{84} +(-7.08008 - 2.93267i) q^{85} +(3.43005 - 0.776723i) q^{86} +(-1.28728 + 2.11354i) q^{87} +(5.83546 + 0.687806i) q^{88} +(-6.63254 + 6.63254i) q^{89} +(-14.3977 - 1.24161i) q^{90} +(-5.24791 - 2.17376i) q^{91} +(-5.26598 - 11.0312i) q^{92} +(3.27627 - 2.39400i) q^{93} +(3.49679 - 2.47213i) q^{94} +11.3864 q^{95} +(-8.26790 + 5.25755i) q^{96} +4.48787 q^{97} +(-7.06677 + 4.99601i) q^{98} +(4.02168 - 4.76103i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 4q^{3} - 8q^{4} - 4q^{6} - 8q^{7} - 4q^{9} + O(q^{10}) \) \( 56q - 4q^{3} - 8q^{4} - 4q^{6} - 8q^{7} - 4q^{9} - 16q^{10} - 4q^{12} - 8q^{13} - 8q^{15} - 40q^{16} - 4q^{18} - 8q^{19} - 4q^{21} - 24q^{22} + 16q^{24} - 8q^{25} - 28q^{27} - 8q^{28} + 44q^{30} - 8q^{33} - 24q^{34} + 48q^{36} - 8q^{37} - 28q^{39} + 24q^{40} + 56q^{42} - 8q^{43} - 4q^{45} + 24q^{46} + 48q^{48} - 16q^{51} + 48q^{52} + 40q^{54} + 24q^{55} - 4q^{57} + 96q^{58} + 8q^{60} - 40q^{61} + 40q^{64} - 28q^{66} + 56q^{67} - 4q^{69} + 40q^{70} - 64q^{72} - 8q^{73} + 16q^{75} + 48q^{76} - 92q^{78} + 16q^{79} - 48q^{82} - 136q^{84} - 48q^{85} + 52q^{87} - 48q^{88} - 136q^{90} + 40q^{91} + 8q^{93} - 64q^{94} - 104q^{96} - 16q^{97} + 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(37\) \(65\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{8}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.816393 + 1.15477i 0.577277 + 0.816548i
\(3\) −1.02188 1.39848i −0.589985 0.807414i
\(4\) −0.667005 + 1.88550i −0.333502 + 0.942749i
\(5\) 3.14689 + 1.30348i 1.40733 + 0.582935i 0.951644 0.307205i \(-0.0993936\pi\)
0.455687 + 0.890140i \(0.349394\pi\)
\(6\) 0.780671 2.32176i 0.318707 0.947853i
\(7\) 0.663471 0.663471i 0.250769 0.250769i −0.570517 0.821286i \(-0.693257\pi\)
0.821286 + 0.570517i \(0.193257\pi\)
\(8\) −2.72186 + 0.769068i −0.962324 + 0.271907i
\(9\) −0.911503 + 2.85817i −0.303834 + 0.952725i
\(10\) 1.06387 + 4.69810i 0.336425 + 1.48567i
\(11\) −1.91929 0.794997i −0.578689 0.239701i 0.0740873 0.997252i \(-0.476396\pi\)
−0.652776 + 0.757551i \(0.726396\pi\)
\(12\) 3.31844 0.993968i 0.957950 0.286934i
\(13\) −2.31672 5.59306i −0.642543 1.55123i −0.823238 0.567696i \(-0.807835\pi\)
0.180696 0.983539i \(-0.442165\pi\)
\(14\) 1.30781 + 0.224506i 0.349528 + 0.0600017i
\(15\) −1.39286 5.73287i −0.359634 1.48022i
\(16\) −3.11021 2.51527i −0.777552 0.628818i
\(17\) −2.24987 −0.545673 −0.272837 0.962060i \(-0.587962\pi\)
−0.272837 + 0.962060i \(0.587962\pi\)
\(18\) −4.04469 + 1.28081i −0.953343 + 0.301891i
\(19\) 3.08841 1.27926i 0.708530 0.293483i 0.000833646 1.00000i \(-0.499735\pi\)
0.707696 + 0.706517i \(0.249735\pi\)
\(20\) −4.55670 + 5.06402i −1.01891 + 1.13235i
\(21\) −1.60584 0.249861i −0.350424 0.0545242i
\(22\) −0.648856 2.86538i −0.138336 0.610901i
\(23\) −4.32171 + 4.32171i −0.901140 + 0.901140i −0.995535 0.0943951i \(-0.969908\pi\)
0.0943951 + 0.995535i \(0.469908\pi\)
\(24\) 3.85696 + 3.02058i 0.787298 + 0.616572i
\(25\) 4.66830 + 4.66830i 0.933659 + 0.933659i
\(26\) 4.56736 7.24142i 0.895733 1.42016i
\(27\) 4.92856 1.64600i 0.948501 0.316774i
\(28\) 0.808436 + 1.69351i 0.152780 + 0.320044i
\(29\) −0.546766 1.32001i −0.101532 0.245120i 0.864948 0.501861i \(-0.167351\pi\)
−0.966480 + 0.256741i \(0.917351\pi\)
\(30\) 5.48305 6.28871i 1.00106 1.14816i
\(31\) 2.34273i 0.420767i 0.977619 + 0.210384i \(0.0674713\pi\)
−0.977619 + 0.210384i \(0.932529\pi\)
\(32\) 0.365418 5.64504i 0.0645974 0.997911i
\(33\) 0.849507 + 3.49649i 0.147880 + 0.608661i
\(34\) −1.83678 2.59809i −0.315005 0.445569i
\(35\) 2.95269 1.22305i 0.499096 0.206732i
\(36\) −4.78111 3.62505i −0.796851 0.604176i
\(37\) −0.324682 + 0.783851i −0.0533774 + 0.128864i −0.948319 0.317319i \(-0.897217\pi\)
0.894941 + 0.446184i \(0.147217\pi\)
\(38\) 3.99861 + 2.52203i 0.648661 + 0.409128i
\(39\) −5.45437 + 8.95535i −0.873398 + 1.43400i
\(40\) −9.56786 1.12773i −1.51281 0.178310i
\(41\) 4.73908 + 4.73908i 0.740120 + 0.740120i 0.972601 0.232481i \(-0.0746843\pi\)
−0.232481 + 0.972601i \(0.574684\pi\)
\(42\) −1.02247 2.05837i −0.157770 0.317614i
\(43\) 0.951664 2.29752i 0.145127 0.350369i −0.834555 0.550925i \(-0.814275\pi\)
0.979682 + 0.200556i \(0.0642750\pi\)
\(44\) 2.77914 3.08856i 0.418972 0.465617i
\(45\) −6.59398 + 7.80622i −0.982973 + 1.16368i
\(46\) −8.51882 1.46238i −1.25603 0.215617i
\(47\) 3.02812i 0.441696i −0.975308 0.220848i \(-0.929117\pi\)
0.975308 0.220848i \(-0.0708825\pi\)
\(48\) −0.339289 + 6.91989i −0.0489721 + 0.998800i
\(49\) 6.11961i 0.874230i
\(50\) −1.57966 + 9.20199i −0.223398 + 1.30136i
\(51\) 2.29911 + 3.14640i 0.321939 + 0.440584i
\(52\) 12.0910 0.637576i 1.67671 0.0884159i
\(53\) 3.49549 8.43885i 0.480142 1.15916i −0.479399 0.877597i \(-0.659145\pi\)
0.959541 0.281568i \(-0.0908545\pi\)
\(54\) 5.92440 + 4.34758i 0.806209 + 0.591631i
\(55\) −5.00353 5.00353i −0.674676 0.674676i
\(56\) −1.29562 + 2.31613i −0.173135 + 0.309506i
\(57\) −4.94502 3.01183i −0.654984 0.398926i
\(58\) 1.07794 1.70904i 0.141540 0.224408i
\(59\) −3.11165 + 7.51220i −0.405103 + 0.978005i 0.581305 + 0.813686i \(0.302542\pi\)
−0.986407 + 0.164318i \(0.947458\pi\)
\(60\) 11.7384 + 1.19762i 1.51542 + 0.154612i
\(61\) −1.01639 + 0.421005i −0.130136 + 0.0539041i −0.446801 0.894633i \(-0.647437\pi\)
0.316665 + 0.948537i \(0.397437\pi\)
\(62\) −2.70533 + 1.91259i −0.343577 + 0.242899i
\(63\) 1.29156 + 2.50107i 0.162721 + 0.315106i
\(64\) 6.81707 4.18660i 0.852134 0.523324i
\(65\) 20.6205i 2.55766i
\(66\) −3.34413 + 3.83550i −0.411633 + 0.472117i
\(67\) 3.46052 + 8.35443i 0.422770 + 1.02066i 0.981527 + 0.191325i \(0.0612784\pi\)
−0.558757 + 0.829331i \(0.688722\pi\)
\(68\) 1.50067 4.24213i 0.181983 0.514433i
\(69\) 10.4601 + 1.62755i 1.25925 + 0.195933i
\(70\) 3.82290 + 2.41121i 0.456924 + 0.288194i
\(71\) −0.167408 0.167408i −0.0198677 0.0198677i 0.697103 0.716971i \(-0.254472\pi\)
−0.716971 + 0.697103i \(0.754472\pi\)
\(72\) 0.282855 8.48057i 0.0333348 0.999444i
\(73\) 3.86922 3.86922i 0.452858 0.452858i −0.443444 0.896302i \(-0.646244\pi\)
0.896302 + 0.443444i \(0.146244\pi\)
\(74\) −1.17024 + 0.264997i −0.136037 + 0.0308052i
\(75\) 1.75807 11.2990i 0.203004 1.30469i
\(76\) 0.352061 + 6.67646i 0.0403841 + 0.765843i
\(77\) −1.80085 + 0.745938i −0.205226 + 0.0850075i
\(78\) −14.7943 + 1.01252i −1.67513 + 0.114646i
\(79\) 2.44740 0.275354 0.137677 0.990477i \(-0.456036\pi\)
0.137677 + 0.990477i \(0.456036\pi\)
\(80\) −6.50886 11.9694i −0.727713 1.33822i
\(81\) −7.33832 5.21047i −0.815369 0.578941i
\(82\) −1.60361 + 9.34152i −0.177090 + 1.03160i
\(83\) 5.17660 + 12.4974i 0.568206 + 1.37177i 0.903066 + 0.429502i \(0.141311\pi\)
−0.334860 + 0.942268i \(0.608689\pi\)
\(84\) 1.54222 2.86116i 0.168270 0.312178i
\(85\) −7.08008 2.93267i −0.767943 0.318092i
\(86\) 3.43005 0.776723i 0.369872 0.0837562i
\(87\) −1.28728 + 2.11354i −0.138011 + 0.226595i
\(88\) 5.83546 + 0.687806i 0.622062 + 0.0733203i
\(89\) −6.63254 + 6.63254i −0.703048 + 0.703048i −0.965064 0.262016i \(-0.915613\pi\)
0.262016 + 0.965064i \(0.415613\pi\)
\(90\) −14.3977 1.24161i −1.51765 0.130877i
\(91\) −5.24791 2.17376i −0.550130 0.227871i
\(92\) −5.26598 11.0312i −0.549017 1.15008i
\(93\) 3.27627 2.39400i 0.339733 0.248246i
\(94\) 3.49679 2.47213i 0.360666 0.254981i
\(95\) 11.3864 1.16822
\(96\) −8.26790 + 5.25755i −0.843839 + 0.536596i
\(97\) 4.48787 0.455674 0.227837 0.973699i \(-0.426835\pi\)
0.227837 + 0.973699i \(0.426835\pi\)
\(98\) −7.06677 + 4.99601i −0.713851 + 0.504673i
\(99\) 4.02168 4.76103i 0.404194 0.478502i
\(100\) −11.9158 + 5.68829i −1.19158 + 0.568829i
\(101\) −12.6091 5.22285i −1.25465 0.519693i −0.346386 0.938092i \(-0.612591\pi\)
−0.908263 + 0.418399i \(0.862591\pi\)
\(102\) −1.75641 + 5.22365i −0.173910 + 0.517218i
\(103\) 5.37192 5.37192i 0.529311 0.529311i −0.391056 0.920367i \(-0.627890\pi\)
0.920367 + 0.391056i \(0.127890\pi\)
\(104\) 10.6072 + 13.4418i 1.04012 + 1.31808i
\(105\) −4.72772 2.87948i −0.461378 0.281008i
\(106\) 12.5986 2.85292i 1.22369 0.277100i
\(107\) −13.4838 5.58517i −1.30353 0.539939i −0.380538 0.924765i \(-0.624261\pi\)
−0.922989 + 0.384826i \(0.874261\pi\)
\(108\) −0.183832 + 10.3907i −0.0176893 + 0.999844i
\(109\) −1.82205 4.39883i −0.174521 0.421331i 0.812280 0.583268i \(-0.198226\pi\)
−0.986801 + 0.161936i \(0.948226\pi\)
\(110\) 1.69310 9.86280i 0.161431 0.940381i
\(111\) 1.42799 0.346944i 0.135539 0.0329305i
\(112\) −3.73235 + 0.394723i −0.352674 + 0.0372978i
\(113\) 5.85162 0.550475 0.275237 0.961376i \(-0.411244\pi\)
0.275237 + 0.961376i \(0.411244\pi\)
\(114\) −0.559102 8.16922i −0.0523647 0.765117i
\(115\) −19.2332 + 7.96666i −1.79351 + 0.742895i
\(116\) 2.85357 0.150473i 0.264947 0.0139711i
\(117\) 18.0976 1.52350i 1.67313 0.140848i
\(118\) −11.2152 + 2.53965i −1.03244 + 0.233794i
\(119\) −1.49272 + 1.49272i −0.136838 + 0.136838i
\(120\) 8.20014 + 14.5329i 0.748567 + 1.32667i
\(121\) −4.72651 4.72651i −0.429683 0.429683i
\(122\) −1.31594 0.830001i −0.119140 0.0751448i
\(123\) 1.78472 11.4703i 0.160923 1.03424i
\(124\) −4.41722 1.56261i −0.396678 0.140327i
\(125\) 2.08814 + 5.04121i 0.186769 + 0.450899i
\(126\) −1.83375 + 3.53332i −0.163364 + 0.314773i
\(127\) 10.2914i 0.913216i −0.889668 0.456608i \(-0.849064\pi\)
0.889668 0.456608i \(-0.150936\pi\)
\(128\) 10.4000 + 4.45426i 0.919237 + 0.393705i
\(129\) −4.18553 + 1.01692i −0.368516 + 0.0895345i
\(130\) 23.8120 16.8345i 2.08845 1.47648i
\(131\) 16.3968 6.79177i 1.43259 0.593400i 0.474603 0.880200i \(-0.342592\pi\)
0.957990 + 0.286800i \(0.0925915\pi\)
\(132\) −7.15926 0.730433i −0.623133 0.0635760i
\(133\) 1.20032 2.89782i 0.104081 0.251273i
\(134\) −6.82233 + 10.8166i −0.589360 + 0.934413i
\(135\) 17.6551 + 1.24450i 1.51951 + 0.107110i
\(136\) 6.12383 1.73030i 0.525114 0.148372i
\(137\) 8.43673 + 8.43673i 0.720799 + 0.720799i 0.968768 0.247969i \(-0.0797631\pi\)
−0.247969 + 0.968768i \(0.579763\pi\)
\(138\) 6.66013 + 13.4078i 0.566948 + 1.14135i
\(139\) −7.74040 + 18.6870i −0.656532 + 1.58501i 0.146592 + 0.989197i \(0.453169\pi\)
−0.803124 + 0.595812i \(0.796831\pi\)
\(140\) 0.336590 + 6.38308i 0.0284470 + 0.539468i
\(141\) −4.23477 + 3.09439i −0.356632 + 0.260594i
\(142\) 0.0566477 0.329990i 0.00475377 0.0276921i
\(143\) 12.5765i 1.05170i
\(144\) 10.0241 6.59684i 0.835338 0.549737i
\(145\) 4.86662i 0.404151i
\(146\) 7.62688 + 1.30927i 0.631205 + 0.108356i
\(147\) 8.55817 6.25354i 0.705866 0.515783i
\(148\) −1.26139 1.13502i −0.103685 0.0932980i
\(149\) −4.26837 + 10.3048i −0.349678 + 0.844198i 0.646979 + 0.762508i \(0.276032\pi\)
−0.996658 + 0.0816908i \(0.973968\pi\)
\(150\) 14.4830 7.19424i 1.18254 0.587408i
\(151\) 12.1716 + 12.1716i 0.990514 + 0.990514i 0.999955 0.00944142i \(-0.00300534\pi\)
−0.00944142 + 0.999955i \(0.503005\pi\)
\(152\) −7.42239 + 5.85717i −0.602035 + 0.475079i
\(153\) 2.05076 6.43052i 0.165794 0.519877i
\(154\) −2.33159 1.47060i −0.187885 0.118504i
\(155\) −3.05371 + 7.37231i −0.245280 + 0.592159i
\(156\) −13.2472 16.2575i −1.06063 1.30164i
\(157\) −10.1467 + 4.20290i −0.809795 + 0.335428i −0.748872 0.662714i \(-0.769404\pi\)
−0.0609231 + 0.998142i \(0.519404\pi\)
\(158\) 1.99804 + 2.82620i 0.158956 + 0.224840i
\(159\) −15.3736 + 3.73516i −1.21920 + 0.296217i
\(160\) 8.50814 17.2880i 0.672628 1.36674i
\(161\) 5.73467i 0.451955i
\(162\) 0.0259577 12.7279i 0.00203943 0.999998i
\(163\) −4.03936 9.75187i −0.316387 0.763826i −0.999440 0.0334571i \(-0.989348\pi\)
0.683053 0.730369i \(-0.260652\pi\)
\(164\) −12.0965 + 5.77454i −0.944580 + 0.450916i
\(165\) −1.88432 + 12.1104i −0.146694 + 0.942792i
\(166\) −10.2055 + 16.1806i −0.792104 + 1.25586i
\(167\) −12.8761 12.8761i −0.996385 0.996385i 0.00360853 0.999993i \(-0.498851\pi\)
−0.999993 + 0.00360853i \(0.998851\pi\)
\(168\) 4.56305 0.554915i 0.352047 0.0428126i
\(169\) −16.7227 + 16.7227i −1.28636 + 1.28636i
\(170\) −2.39356 10.5701i −0.183578 0.810690i
\(171\) 0.841256 + 9.99326i 0.0643325 + 0.764204i
\(172\) 3.69721 + 3.32682i 0.281909 + 0.253668i
\(173\) 9.91155 4.10550i 0.753561 0.312135i 0.0273673 0.999625i \(-0.491288\pi\)
0.726194 + 0.687490i \(0.241288\pi\)
\(174\) −3.49159 + 0.238965i −0.264696 + 0.0181159i
\(175\) 6.19456 0.468265
\(176\) 3.96977 + 7.30015i 0.299232 + 0.550270i
\(177\) 13.6854 3.32501i 1.02866 0.249923i
\(178\) −13.0738 2.24432i −0.979926 0.168219i
\(179\) −9.52280 22.9901i −0.711768 1.71836i −0.695536 0.718491i \(-0.744833\pi\)
−0.0162316 0.999868i \(1.49483\pi\)
\(180\) −10.3204 17.6397i −0.769238 1.31479i
\(181\) 11.0607 + 4.58151i 0.822139 + 0.340541i 0.753786 0.657120i \(-0.228226\pi\)
0.0683528 + 0.997661i \(0.478226\pi\)
\(182\) −1.77416 7.83479i −0.131510 0.580753i
\(183\) 1.62741 + 0.991192i 0.120301 + 0.0732710i
\(184\) 8.43942 15.0868i 0.622162 1.11221i
\(185\) −2.04347 + 2.04347i −0.150239 + 0.150239i
\(186\) 5.43925 + 1.82890i 0.398825 + 0.134102i
\(187\) 4.31816 + 1.78864i 0.315775 + 0.130798i
\(188\) 5.70951 + 2.01977i 0.416409 + 0.147307i
\(189\) 2.17788 4.36203i 0.158417 0.317291i
\(190\) 9.29575 + 13.1487i 0.674385 + 0.953906i
\(191\) −0.133706 −0.00967461 −0.00483731 0.999988i \(-0.501540\pi\)
−0.00483731 + 0.999988i \(0.501540\pi\)
\(192\) −12.8211 5.25533i −0.925286 0.379271i
\(193\) 7.48776 0.538981 0.269490 0.963003i \(-0.413145\pi\)
0.269490 + 0.963003i \(0.413145\pi\)
\(194\) 3.66387 + 5.18248i 0.263050 + 0.372080i
\(195\) −28.8374 + 21.0718i −2.06509 + 1.50898i
\(196\) −11.5385 4.08181i −0.824180 0.291558i
\(197\) 4.23540 + 1.75436i 0.301759 + 0.124993i 0.528425 0.848980i \(-0.322783\pi\)
−0.226666 + 0.973973i \(0.572783\pi\)
\(198\) 8.78119 + 0.757260i 0.624052 + 0.0538161i
\(199\) 3.74082 3.74082i 0.265179 0.265179i −0.561975 0.827154i \(-0.689958\pi\)
0.827154 + 0.561975i \(0.189958\pi\)
\(200\) −16.2967 9.11622i −1.15235 0.644614i
\(201\) 8.14727 13.3767i 0.574664 0.943522i
\(202\) −4.26275 18.8245i −0.299926 1.32449i
\(203\) −1.23855 0.513025i −0.0869293 0.0360073i
\(204\) −7.46605 + 2.23630i −0.522728 + 0.156572i
\(205\) 8.73604 + 21.0907i 0.610152 + 1.47304i
\(206\) 10.5889 + 1.81775i 0.737767 + 0.126649i
\(207\) −8.41296 16.2915i −0.584741 1.13234i
\(208\) −6.86258 + 23.2228i −0.475834 + 1.61021i
\(209\) −6.94457 −0.480366
\(210\) −0.534533 7.81023i −0.0368863 0.538957i
\(211\) 0.564367 0.233768i 0.0388526 0.0160933i −0.363173 0.931722i \(-0.618306\pi\)
0.402025 + 0.915629i \(0.368306\pi\)
\(212\) 13.5799 + 12.2195i 0.932673 + 0.839238i
\(213\) −0.0630455 + 0.405189i −0.00431980 + 0.0277631i
\(214\) −4.55847 20.1304i −0.311610 1.37609i
\(215\) 5.98956 5.98956i 0.408485 0.408485i
\(216\) −12.1490 + 8.27059i −0.826632 + 0.562743i
\(217\) 1.55434 + 1.55434i 0.105515 + 0.105515i
\(218\) 3.59214 5.69523i 0.243290 0.385730i
\(219\) −9.36493 1.45714i −0.632823 0.0984642i
\(220\) 12.7715 6.09677i 0.861057 0.411044i
\(221\) 5.21232 + 12.5836i 0.350618 + 0.846468i
\(222\) 1.56644 + 1.36576i 0.105133 + 0.0916639i
\(223\) 10.6887i 0.715768i −0.933766 0.357884i \(-0.883498\pi\)
0.933766 0.357884i \(-0.116502\pi\)
\(224\) −3.50288 3.98777i −0.234046 0.266444i
\(225\) −17.5980 + 9.08764i −1.17320 + 0.605842i
\(226\) 4.77723 + 6.75730i 0.317776 + 0.449489i
\(227\) −1.76729 + 0.732035i −0.117299 + 0.0485869i −0.440561 0.897723i \(-0.645220\pi\)
0.323262 + 0.946309i \(0.395220\pi\)
\(228\) 8.97715 7.31493i 0.594526 0.484443i
\(229\) −4.83167 + 11.6647i −0.319286 + 0.770824i 0.680007 + 0.733206i \(0.261977\pi\)
−0.999292 + 0.0376176i \(0.988023\pi\)
\(230\) −24.9016 15.7061i −1.64196 1.03563i
\(231\) 2.88345 + 1.75620i 0.189717 + 0.115549i
\(232\) 2.50340 + 3.17238i 0.164356 + 0.208277i
\(233\) −6.98725 6.98725i −0.457750 0.457750i 0.440166 0.897916i \(-0.354920\pi\)
−0.897916 + 0.440166i \(0.854920\pi\)
\(234\) 16.5341 + 19.6549i 1.08087 + 1.28488i
\(235\) 3.94710 9.52914i 0.257480 0.621613i
\(236\) −12.0887 10.8777i −0.786910 0.708077i
\(237\) −2.50096 3.42265i −0.162455 0.222325i
\(238\) −2.94241 0.505109i −0.190728 0.0327413i
\(239\) 6.60970i 0.427546i −0.976883 0.213773i \(-0.931425\pi\)
0.976883 0.213773i \(-0.0685752\pi\)
\(240\) −10.0877 + 21.3339i −0.651156 + 1.37709i
\(241\) 13.3092i 0.857322i −0.903466 0.428661i \(-0.858986\pi\)
0.903466 0.428661i \(-0.141014\pi\)
\(242\) 1.59936 9.31674i 0.102811 0.598903i
\(243\) 0.212173 + 15.5870i 0.0136109 + 0.999907i
\(244\) −0.115863 2.19722i −0.00741738 0.140663i
\(245\) −7.97681 + 19.2577i −0.509620 + 1.23033i
\(246\) 14.7027 7.30333i 0.937407 0.465643i
\(247\) −14.3100 14.3100i −0.910521 0.910521i
\(248\) −1.80172 6.37659i −0.114409 0.404914i
\(249\) 12.1875 20.0103i 0.772353 1.26810i
\(250\) −4.11671 + 6.52693i −0.260364 + 0.412800i
\(251\) 5.55430 13.4093i 0.350584 0.846385i −0.645964 0.763368i \(-0.723544\pi\)
0.996548 0.0830174i \(-0.0264557\pi\)
\(252\) −5.57725 + 0.767008i −0.351334 + 0.0483170i
\(253\) 11.7304 4.85889i 0.737483 0.305476i
\(254\) 11.8843 8.40185i 0.745685 0.527179i
\(255\) 3.13375 + 12.8982i 0.196243 + 0.807718i
\(256\) 3.34680 + 15.6461i 0.209175 + 0.977878i
\(257\) 12.0491i 0.751605i 0.926700 + 0.375803i \(0.122633\pi\)
−0.926700 + 0.375803i \(0.877367\pi\)
\(258\) −4.59135 4.00314i −0.285845 0.249225i
\(259\) 0.304646 + 0.735480i 0.0189298 + 0.0457005i
\(260\) 38.8800 + 13.7540i 2.41123 + 0.852986i
\(261\) 4.27120 0.359559i 0.264380 0.0222562i
\(262\) 21.2292 + 13.3898i 1.31154 + 0.827226i
\(263\) −2.42769 2.42769i −0.149698 0.149698i 0.628285 0.777983i \(-0.283757\pi\)
−0.777983 + 0.628285i \(0.783757\pi\)
\(264\) −5.00128 8.86364i −0.307808 0.545519i
\(265\) 21.9998 21.9998i 1.35144 1.35144i
\(266\) 4.32626 0.979668i 0.265260 0.0600673i
\(267\) 16.0532 + 2.49780i 0.982439 + 0.152863i
\(268\) −18.0604 + 0.952357i −1.10322 + 0.0581745i
\(269\) 11.0872 4.59246i 0.675997 0.280007i −0.0181552 0.999835i \(-0.505779\pi\)
0.694153 + 0.719828i \(0.255779\pi\)
\(270\) 12.9764 + 21.4037i 0.789720 + 1.30259i
\(271\) 16.6609 1.01208 0.506038 0.862511i \(-0.331109\pi\)
0.506038 + 0.862511i \(0.331109\pi\)
\(272\) 6.99756 + 5.65904i 0.424290 + 0.343129i
\(273\) 2.32280 + 9.56043i 0.140582 + 0.578624i
\(274\) −2.85483 + 16.6302i −0.172466 + 1.00467i
\(275\) −5.24854 12.6711i −0.316499 0.764097i
\(276\) −10.0457 + 18.6370i −0.604680 + 1.12181i
\(277\) −26.2888 10.8892i −1.57954 0.654267i −0.591199 0.806526i \(-0.701345\pi\)
−0.988341 + 0.152259i \(0.951345\pi\)
\(278\) −27.8984 + 6.31751i −1.67324 + 0.378899i
\(279\) −6.69594 2.13541i −0.400875 0.127844i
\(280\) −7.09622 + 5.59978i −0.424080 + 0.334651i
\(281\) 0.109141 0.109141i 0.00651081 0.00651081i −0.703844 0.710355i \(-0.748535\pi\)
0.710355 + 0.703844i \(0.248535\pi\)
\(282\) −7.03055 2.36396i −0.418663 0.140772i
\(283\) 11.5159 + 4.77003i 0.684547 + 0.283549i 0.697726 0.716364i \(-0.254195\pi\)
−0.0131791 + 0.999913i \(0.504195\pi\)
\(284\) 0.427310 0.203986i 0.0253562 0.0121043i
\(285\) −11.6356 15.9236i −0.689231 0.943235i
\(286\) −14.5230 + 10.2674i −0.858764 + 0.607122i
\(287\) 6.28849 0.371198
\(288\) 15.8014 + 6.18990i 0.931108 + 0.364743i
\(289\) −11.9381 −0.702240
\(290\) 5.61985 3.97308i 0.330009 0.233307i
\(291\) −4.58609 6.27621i −0.268841 0.367918i
\(292\) 4.71462 + 9.87620i 0.275902 + 0.577961i
\(293\) −14.6551 6.07035i −0.856161 0.354634i −0.0889561 0.996036i \(-0.528353\pi\)
−0.767205 + 0.641402i \(0.778353\pi\)
\(294\) 14.2082 + 4.77740i 0.828642 + 0.278624i
\(295\) −19.5840 + 19.5840i −1.14023 + 1.14023i
\(296\) 0.280904 2.38324i 0.0163272 0.138523i
\(297\) −10.7679 0.759024i −0.624818 0.0440430i
\(298\) −15.3843 + 3.48373i −0.891190 + 0.201807i
\(299\) 34.1838 + 14.1594i 1.97690 + 0.818859i
\(300\) 20.1316 + 10.8513i 1.16230 + 0.626501i
\(301\) −0.892937 2.15574i −0.0514680 0.124255i
\(302\) −4.11865 + 23.9923i −0.237002 + 1.38060i
\(303\) 5.58096 + 22.9707i 0.320618 + 1.31963i
\(304\) −12.8233 3.78942i −0.735466 0.217338i
\(305\) −3.74725 −0.214567
\(306\) 9.10002 2.88166i 0.520214 0.164734i
\(307\) 17.9759 7.44586i 1.02594 0.424958i 0.194694 0.980864i \(-0.437629\pi\)
0.831245 + 0.555906i \(0.187629\pi\)
\(308\) −0.205287 3.89305i −0.0116973 0.221827i
\(309\) −13.0020 2.02305i −0.739659 0.115087i
\(310\) −11.0064 + 2.49236i −0.625121 + 0.141556i
\(311\) 14.7567 14.7567i 0.836776 0.836776i −0.151657 0.988433i \(-0.548461\pi\)
0.988433 + 0.151657i \(0.0484609\pi\)
\(312\) 7.95876 28.5700i 0.450576 1.61746i
\(313\) −3.76309 3.76309i −0.212703 0.212703i 0.592712 0.805415i \(-0.298057\pi\)
−0.805415 + 0.592712i \(0.798057\pi\)
\(314\) −13.1371 8.28593i −0.741370 0.467602i
\(315\) 0.804289 + 9.55412i 0.0453165 + 0.538314i
\(316\) −1.63243 + 4.61457i −0.0918313 + 0.259590i
\(317\) −5.65481 13.6519i −0.317606 0.766768i −0.999380 0.0352055i \(-0.988791\pi\)
0.681774 0.731562i \(1.73879\pi\)
\(318\) −16.8641 14.7036i −0.945693 0.824538i
\(319\) 2.96816i 0.166185i
\(320\) 26.9097 4.28881i 1.50430 0.239752i
\(321\) 5.96812 + 24.5642i 0.333108 + 1.37104i
\(322\) −6.62224 + 4.68174i −0.369043 + 0.260903i
\(323\) −6.94852 + 2.87817i −0.386626 + 0.160146i
\(324\) 14.7190 10.3610i 0.817724 0.575611i
\(325\) 15.2949 36.9252i 0.848409 2.04824i
\(326\) 7.96350 12.6259i 0.441058 0.699284i
\(327\) −4.28975 + 7.04321i −0.237224 + 0.389490i
\(328\) −16.5438 9.25445i −0.913479 0.510992i
\(329\) −2.00907 2.00907i −0.110764 0.110764i
\(330\) −15.5231 + 7.71087i −0.854518 + 0.424470i
\(331\) 3.87845 9.36340i 0.213179 0.514659i −0.780730 0.624869i \(-0.785152\pi\)
0.993908 + 0.110210i \(0.0351523\pi\)
\(332\) −27.0167 + 1.42463i −1.48273 + 0.0781869i
\(333\) −1.94443 1.64248i −0.106554 0.0900073i
\(334\) 4.35703 25.3810i 0.238406 1.38879i
\(335\) 30.8012i 1.68285i
\(336\) 4.36604 + 4.81626i 0.238187 + 0.262748i
\(337\) 18.4557i 1.00535i 0.864476 + 0.502674i \(0.167650\pi\)
−0.864476 + 0.502674i \(0.832350\pi\)
\(338\) −32.9632 5.65864i −1.79296 0.307789i
\(339\) −5.97969 8.18339i −0.324772 0.444461i
\(340\) 10.2520 11.3934i 0.555992 0.617893i
\(341\) 1.86247 4.49639i 0.100858 0.243493i
\(342\) −10.8532 + 9.12989i −0.586872 + 0.493688i
\(343\) 8.70449 + 8.70449i 0.469998 + 0.469998i
\(344\) −0.823349 + 6.98543i −0.0443920 + 0.376629i
\(345\) 30.7954 + 18.7563i 1.65797 + 1.00981i
\(346\) 12.8326 + 8.09389i 0.689887 + 0.435130i
\(347\) −2.01715 + 4.86983i −0.108286 + 0.261426i −0.968729 0.248121i \(-0.920187\pi\)
0.860443 + 0.509547i \(0.170187\pi\)
\(348\) −3.12646 3.83690i −0.167596 0.205680i
\(349\) 19.0402 7.88672i 1.01920 0.422166i 0.190397 0.981707i \(-0.439023\pi\)
0.828803 + 0.559541i \(0.189023\pi\)
\(350\) 5.05720 + 7.15332i 0.270318 + 0.382361i
\(351\) −20.6243 23.7524i −1.10084 1.26781i
\(352\) −5.18914 + 10.5440i −0.276582 + 0.561996i
\(353\) 13.3595i 0.711053i −0.934666 0.355527i \(-0.884301\pi\)
0.934666 0.355527i \(-0.115699\pi\)
\(354\) 15.0123 + 13.0891i 0.797895 + 0.695675i
\(355\) −0.308601 0.745029i −0.0163788 0.0395420i
\(356\) −8.08171 16.9296i −0.428330 0.897266i
\(357\) 3.61294 + 0.562156i 0.191217 + 0.0297524i
\(358\) 18.7740 29.7656i 0.992236 1.57316i
\(359\) 0.514805 + 0.514805i 0.0271704 + 0.0271704i 0.720561 0.693391i \(-0.243884\pi\)
−0.693391 + 0.720561i \(0.743884\pi\)
\(360\) 11.9444 26.3187i 0.629525 1.38712i
\(361\) −5.53327 + 5.53327i −0.291225 + 0.291225i
\(362\) 3.73931 + 16.5130i 0.196534 + 0.867902i
\(363\) −1.77999 + 11.4399i −0.0934252 + 0.600438i
\(364\) 7.59899 8.44502i 0.398296 0.442639i
\(365\) 17.2195 7.13254i 0.901308 0.373334i
\(366\) 0.184000 + 2.68849i 0.00961786 + 0.140529i
\(367\) −37.5921 −1.96229 −0.981145 0.193271i \(-0.938090\pi\)
−0.981145 + 0.193271i \(0.938090\pi\)
\(368\) 24.3117 2.57114i 1.26734 0.134030i
\(369\) −17.8648 + 9.22543i −0.930005 + 0.480257i
\(370\) −4.02803 0.691472i −0.209407 0.0359479i
\(371\) −3.27978 7.91809i −0.170278 0.411087i
\(372\) 2.32860 + 7.77421i 0.120732 + 0.403074i
\(373\) 22.6229 + 9.37070i 1.17137 + 0.485196i 0.881644 0.471914i \(-0.156437\pi\)
0.289723 + 0.957111i \(0.406437\pi\)
\(374\) 1.45984 + 6.44673i 0.0754865 + 0.333352i
\(375\) 4.91620 8.07176i 0.253872 0.416824i
\(376\) 2.32883 + 8.24212i 0.120100 + 0.425055i
\(377\) −6.11619 + 6.11619i −0.315000 + 0.315000i
\(378\) 6.81517 1.04618i 0.350534 0.0538095i
\(379\) −14.1576 5.86429i −0.727229 0.301228i −0.0118165 0.999930i \(-0.503761\pi\)
−0.715413 + 0.698702i \(0.753761\pi\)
\(380\) −7.59476 + 21.4690i −0.389603 + 1.10134i
\(381\) −14.3924 + 10.5167i −0.737344 + 0.538784i
\(382\) −0.109157 0.154400i −0.00558493 0.00789979i
\(383\) −16.0682 −0.821048 −0.410524 0.911850i \(-0.634654\pi\)
−0.410524 + 0.911850i \(0.634654\pi\)
\(384\) −4.39837 19.0959i −0.224453 0.974485i
\(385\) −6.63940 −0.338375
\(386\) 6.11296 + 8.64667i 0.311141 + 0.440104i
\(387\) 5.69927 + 4.81422i 0.289710 + 0.244721i
\(388\) −2.99343 + 8.46188i −0.151968 + 0.429587i
\(389\) −31.0923 12.8788i −1.57644 0.652983i −0.588596 0.808427i \(-0.700319\pi\)
−0.987845 + 0.155444i \(0.950319\pi\)
\(390\) −47.8758 16.0978i −2.42429 0.815146i
\(391\) 9.72329 9.72329i 0.491728 0.491728i
\(392\) −4.70640 16.6567i −0.237709 0.841292i
\(393\) −26.2538 15.9902i −1.32433 0.806599i
\(394\) 1.43186 + 6.32317i 0.0721361 + 0.318557i
\(395\) 7.70170 + 3.19015i 0.387514 + 0.160514i
\(396\) 6.29444 + 10.7585i 0.316307 + 0.540635i
\(397\) −8.21223 19.8261i −0.412160 0.995042i −0.984557 0.175065i \(-0.943986\pi\)
0.572397 0.819977i \(-0.306014\pi\)
\(398\) 7.37377 + 1.26582i 0.369614 + 0.0634498i
\(399\) −5.27914 + 1.28262i −0.264288 + 0.0642113i
\(400\) −2.77734 26.2614i −0.138867 1.31307i
\(401\) 15.2053 0.759315 0.379657 0.925127i \(-0.376042\pi\)
0.379657 + 0.925127i \(0.376042\pi\)
\(402\) 22.0985 1.51242i 1.10217 0.0754328i
\(403\) 13.1030 5.42745i 0.652709 0.270361i
\(404\) 18.2580 20.2907i 0.908369 1.00950i
\(405\) −16.3011 25.9621i −0.810009 1.29007i
\(406\) −0.418717 1.84908i −0.0207806 0.0917682i
\(407\) 1.24632 1.24632i 0.0617777 0.0617777i
\(408\) −8.67765 6.79590i −0.429608 0.336447i
\(409\) 23.0147 + 23.0147i 1.13800 + 1.13800i 0.988808 + 0.149193i \(0.0476677\pi\)
0.149193 + 0.988808i \(0.452332\pi\)
\(410\) −17.2229 + 27.3064i −0.850579 + 1.34857i
\(411\) 3.17725 20.4200i 0.156722 1.00724i
\(412\) 6.54565 + 13.7118i 0.322481 + 0.675534i
\(413\) 2.91963 + 7.04862i 0.143666 + 0.346840i
\(414\) 11.9447 23.0153i 0.587049 1.13114i
\(415\) 46.0756i 2.26176i
\(416\) −32.4196 + 11.0342i −1.58950 + 0.540995i
\(417\) 34.0432 8.27113i 1.66710 0.405039i
\(418\) −5.66950 8.01941i −0.277304 0.392242i
\(419\) −10.8187 + 4.48124i −0.528527 + 0.218923i −0.630958 0.775817i \(-0.717338\pi\)
0.102431 + 0.994740i \(0.467338\pi\)
\(420\) 8.58266 6.99348i 0.418791 0.341247i
\(421\) −11.0208 + 26.6066i −0.537121 + 1.29673i 0.389603 + 0.920983i \(0.372612\pi\)
−0.926724 + 0.375742i \(0.877388\pi\)
\(422\) 0.730695 + 0.460869i 0.0355697 + 0.0224348i
\(423\) 8.65489 + 2.76014i 0.420815 + 0.134203i
\(424\) −3.02418 + 25.6576i −0.146867 + 1.24605i
\(425\) −10.5031 10.5031i −0.509473 0.509473i
\(426\) −0.519372 + 0.257991i −0.0251637 + 0.0124997i
\(427\) −0.395024 + 0.953673i −0.0191166 + 0.0461515i
\(428\) 19.5246 21.6983i 0.943756 1.04883i
\(429\) 17.5880 12.8517i 0.849157 0.620488i
\(430\) 11.8064 + 2.02675i 0.569356 + 0.0977386i
\(431\) 0.278342i 0.0134073i 0.999978 + 0.00670363i \(0.00213385\pi\)
−0.999978 + 0.00670363i \(0.997866\pi\)
\(432\) −19.4690 7.27725i −0.936702 0.350127i
\(433\) 11.0862i 0.532769i 0.963867 + 0.266385i \(0.0858292\pi\)
−0.963867 + 0.266385i \(0.914171\pi\)
\(434\) −0.525957 + 3.06385i −0.0252468 + 0.147070i
\(435\) −6.80588 + 4.97313i −0.326317 + 0.238443i
\(436\) 9.50930 0.501441i 0.455413 0.0240147i
\(437\) −7.81862 + 18.8758i −0.374015 + 0.902953i
\(438\) −5.96280 12.0040i −0.284914 0.573572i
\(439\) 18.4802 + 18.4802i 0.882011 + 0.882011i 0.993739 0.111728i \(-0.0356386\pi\)
−0.111728 + 0.993739i \(0.535639\pi\)
\(440\) 17.4670 + 9.77087i 0.832706 + 0.465808i
\(441\) −17.4909 5.57805i −0.832901 0.265621i
\(442\) −10.2760 + 16.2922i −0.488778 + 0.774943i
\(443\) −15.7855 + 38.1095i −0.749991 + 1.81064i −0.190740 + 0.981641i \(0.561089\pi\)
−0.559251 + 0.828998i \(0.688911\pi\)
\(444\) −0.298313 + 2.92388i −0.0141573 + 0.138761i
\(445\) −29.5173 + 12.2265i −1.39925 + 0.579590i
\(446\) 12.3430 8.72618i 0.584460 0.413197i
\(447\) 18.7728 4.56103i 0.887923 0.215730i
\(448\) 1.74524 7.30062i 0.0824550 0.344922i
\(449\) 23.9532i 1.13042i 0.824946 + 0.565211i \(0.191205\pi\)
−0.824946 + 0.565211i \(0.808795\pi\)
\(450\) −24.8610 12.9026i −1.17196 0.608234i
\(451\) −5.32813 12.8632i −0.250892 0.605706i
\(452\) −3.90306 + 11.0332i −0.183585 + 0.518959i
\(453\) 4.58380 29.4598i 0.215366 1.38414i
\(454\) −2.28814 1.44319i −0.107388 0.0677323i
\(455\) −13.6811 13.6811i −0.641381 0.641381i
\(456\) 15.7760 + 4.39472i 0.738777 + 0.205802i
\(457\) −3.61836 + 3.61836i −0.169260 + 0.169260i −0.786654 0.617394i \(-0.788188\pi\)
0.617394 + 0.786654i \(0.288188\pi\)
\(458\) −17.4146 + 3.94348i −0.813731 + 0.184267i
\(459\) −11.0886 + 3.70329i −0.517572 + 0.172855i
\(460\) −2.19248 41.5780i −0.102225 1.93859i
\(461\) 11.0476 4.57608i 0.514539 0.213129i −0.110277 0.993901i \(-0.535174\pi\)
0.624816 + 0.780772i \(0.285174\pi\)
\(462\) 0.326013 + 4.76348i 0.0151675 + 0.221617i
\(463\) −27.8395 −1.29381 −0.646906 0.762569i \(-0.723938\pi\)
−0.646906 + 0.762569i \(0.723938\pi\)
\(464\) −1.61963 + 5.48077i −0.0751894 + 0.254438i
\(465\) 13.4306 3.26309i 0.622829 0.151322i
\(466\) 2.36435 13.7730i 0.109526 0.638024i
\(467\) 15.3748 + 37.1181i 0.711462 + 1.71762i 0.696315 + 0.717736i \(0.254822\pi\)
0.0151469 + 0.999885i \(0.495178\pi\)
\(468\) −9.19865 + 35.1392i −0.425208 + 1.62431i
\(469\) 7.83888 + 3.24697i 0.361966 + 0.149931i
\(470\) 14.2264 3.22152i 0.656214 0.148598i
\(471\) 16.2465 + 9.89510i 0.748597 + 0.455942i
\(472\) 2.69210 22.8402i 0.123914 1.05131i
\(473\) −3.65304 + 3.65304i −0.167967 + 0.167967i
\(474\) 1.91061 5.68227i 0.0877574 0.260995i
\(475\) 20.3896 + 8.44564i 0.935538 + 0.387512i
\(476\) −1.81887 3.81018i −0.0833680 0.174639i
\(477\) 20.9336 + 17.6827i 0.958482 + 0.809637i
\(478\) 7.63270 5.39611i 0.349112 0.246812i
\(479\) 23.6720 1.08160 0.540800 0.841151i \(-0.318122\pi\)
0.540800 + 0.841151i \(0.318122\pi\)
\(480\) −32.8713 + 5.76784i −1.50036 + 0.263265i
\(481\) 5.13632 0.234196
\(482\) 15.3691 10.8655i 0.700044 0.494912i
\(483\) 8.01983 5.86017i 0.364915 0.266647i
\(484\) 12.0644 5.75922i 0.548383 0.261783i
\(485\) 14.1228 + 5.84987i 0.641284 + 0.265629i
\(486\) −17.8263 + 12.9701i −0.808615 + 0.588338i
\(487\) −1.06704 + 1.06704i −0.0483522 + 0.0483522i −0.730869 0.682517i \(-0.760885\pi\)
0.682517 + 0.730869i \(0.260885\pi\)
\(488\) 2.44271 1.92759i 0.110576 0.0872580i
\(489\) −9.51006 + 15.6143i −0.430060 + 0.706101i
\(490\) −28.7505 + 6.51046i −1.29882 + 0.294113i
\(491\) −24.4454 10.1256i −1.10321 0.456964i −0.244614 0.969621i \(-0.578661\pi\)
−0.858594 + 0.512657i \(0.828661\pi\)
\(492\) 20.4368 + 11.0159i 0.921364 + 0.496633i
\(493\) 1.23015 + 2.96985i 0.0554033 + 0.133755i
\(494\) 4.84221 28.2073i 0.217862 1.26911i
\(495\) 18.8617 9.74023i 0.847771 0.437791i
\(496\) 5.89261 7.28639i 0.264586 0.327168i
\(497\) −0.222141 −0.00996439
\(498\) 33.0572 2.26244i 1.48133 0.101382i
\(499\) 23.7276 9.82828i 1.06219 0.439974i 0.217963 0.975957i \(-0.430059\pi\)
0.844229 + 0.535983i \(0.180059\pi\)
\(500\) −10.8980 + 0.574669i −0.487373 + 0.0257000i
\(501\) −4.84911 + 31.1650i −0.216642 + 1.39235i
\(502\) 20.0192 4.53327i 0.893499 0.202330i
\(503\) 8.35178 8.35178i 0.372387 0.372387i −0.495959 0.868346i \(-0.665183\pi\)
0.868346 + 0.495959i \(0.165183\pi\)
\(504\) −5.43895 5.81428i −0.242270 0.258989i
\(505\) −32.8714 32.8714i −1.46276 1.46276i
\(506\) 15.1875 + 9.57918i 0.675168 + 0.425847i
\(507\) 40.4751 + 6.29772i 1.79756 + 0.279692i
\(508\) 19.4045 + 6.86443i 0.860934 + 0.304560i
\(509\) 2.98703 + 7.21134i 0.132398 + 0.319637i 0.976150 0.217096i \(-0.0696584\pi\)
−0.843752 + 0.536733i \(0.819658\pi\)
\(510\) −12.3362 + 14.1488i −0.546254 + 0.626519i
\(511\) 5.13423i 0.227125i
\(512\) −15.3353 + 16.6381i −0.677733 + 0.735308i
\(513\) 13.1157 11.3884i 0.579074 0.502812i
\(514\) −13.9140 + 9.83684i −0.613722 + 0.433884i
\(515\) 23.9070 9.90262i 1.05347 0.436361i
\(516\) 0.874376 8.57010i 0.0384923 0.377278i
\(517\) −2.40734 + 5.81184i −0.105875 + 0.255605i
\(518\) −0.600602 + 0.952237i −0.0263889 + 0.0418389i
\(519\) −15.8699 9.66577i −0.696612 0.424280i
\(520\) 15.8586 + 56.1262i 0.695445 + 2.46130i
\(521\) 5.48494 + 5.48494i 0.240299 + 0.240299i 0.816974 0.576675i \(-0.195650\pi\)
−0.576675 + 0.816974i \(0.695650\pi\)
\(522\) 3.90219 + 4.63872i 0.170794 + 0.203031i
\(523\) 6.43166 15.5274i 0.281237 0.678966i −0.718628 0.695394i \(-0.755230\pi\)
0.999865 + 0.0164288i \(0.00522969\pi\)
\(524\) 1.86914 + 35.4463i 0.0816537 + 1.54848i
\(525\) −6.33013 8.66298i −0.276269 0.378083i
\(526\) 0.821485 4.78539i 0.0358185 0.208653i
\(527\) 5.27084i 0.229601i
\(528\) 6.15249 13.0116i 0.267753 0.566256i
\(529\) 14.3544i 0.624106i
\(530\) 43.3653 + 7.44431i 1.88367 + 0.323360i
\(531\) −18.6349 15.7410i −0.808685 0.683103i
\(532\) 4.66322 + 4.19606i 0.202176 + 0.181922i
\(533\) 15.5268 37.4851i 0.672542 1.62366i
\(534\) 10.2213 + 20.5770i 0.442320 + 0.890453i
\(535\) −35.1518 35.1518i −1.51974 1.51974i
\(536\) −15.8442 20.0782i −0.684364 0.867248i
\(537\) −22.4200 + 36.8107i −0.967495 + 1.58850i
\(538\) 14.3548 + 9.05393i 0.618877 + 0.390343i
\(539\) 4.86507 11.7453i 0.209554 0.505907i
\(540\) −14.1226 + 32.4587i −0.607739 + 1.39680i
\(541\) −3.57097 + 1.47914i −0.153528 + 0.0635934i −0.458124 0.888888i \(-0.651478\pi\)
0.304596 + 0.952482i \(0.401478\pi\)
\(542\) 13.6018 + 19.2396i 0.584249 + 0.826409i
\(543\) −4.89565 20.1500i −0.210092 0.864720i
\(544\) −0.822143 + 12.7006i −0.0352491 + 0.544534i
\(545\) 16.2176i 0.694687i
\(546\) −9.14382 + 10.4874i −0.391319 + 0.448819i
\(547\) 1.97916 + 4.77812i 0.0846228 + 0.204298i 0.960527 0.278188i \(-0.0897339\pi\)
−0.875904 + 0.482486i \(0.839734\pi\)
\(548\) −21.5348 + 10.2801i −0.919921 + 0.439144i
\(549\) −0.276857 3.28878i −0.0118160 0.140362i
\(550\) 10.3474 16.4055i 0.441214 0.699532i
\(551\) −3.37727 3.37727i −0.143877 0.143877i
\(552\) −29.7227 + 3.61460i −1.26508 + 0.153848i
\(553\) 1.62378 1.62378i 0.0690502 0.0690502i
\(554\) −8.88745 39.2474i −0.377592 1.66746i
\(555\) 4.94596 + 0.769566i 0.209944 + 0.0326663i
\(556\) −30.0714 27.0588i −1.27531 1.14755i
\(557\) −30.8826 + 12.7920i −1.30854 + 0.542014i −0.924457 0.381286i \(-0.875481\pi\)
−0.384080 + 0.923300i \(0.625481\pi\)
\(558\) −3.00060 9.47563i −0.127026 0.401135i
\(559\) −15.0549 −0.636755
\(560\) −12.2598 3.62290i −0.518071 0.153096i
\(561\) −1.91128 7.86665i −0.0806943 0.332130i
\(562\) 0.215135 + 0.0369312i 0.00907493 + 0.00155785i
\(563\) −6.06412 14.6401i −0.255572 0.617005i 0.743064 0.669221i \(-0.233372\pi\)
−0.998636 + 0.0522151i \(0.983372\pi\)
\(564\) −3.00985 10.0486i −0.126738 0.423123i
\(565\) 18.4144 + 7.62750i 0.774700 + 0.320891i
\(566\) 3.89317 + 17.1924i 0.163642 + 0.722652i
\(567\) −8.32577 + 1.41177i −0.349649 + 0.0592888i
\(568\) 0.584411 + 0.326914i 0.0245213 + 0.0137170i
\(569\) 24.5419 24.5419i 1.02885 1.02885i 0.0292808 0.999571i \(-0.490678\pi\)
0.999571 0.0292808i \(-0.00932170\pi\)
\(570\) 8.88900 26.4364i 0.372319 1.10730i
\(571\) −37.5798 15.5661i −1.57266 0.651419i −0.585435 0.810720i \(-0.699076\pi\)
−0.987230 + 0.159301i \(0.949076\pi\)
\(572\) −23.7130 8.38859i −0.991489 0.350744i
\(573\) 0.136632 + 0.186985i 0.00570788 + 0.00781142i
\(574\) 5.13388 + 7.26178i 0.214284 + 0.303101i
\(575\) −40.3501 −1.68271
\(576\) 5.75224 + 23.3005i 0.239677 + 0.970853i
\(577\) −37.6825 −1.56874 −0.784371 0.620292i \(-0.787014\pi\)
−0.784371 + 0.620292i \(0.787014\pi\)
\(578\) −9.74617 13.7858i −0.405387 0.573413i
\(579\) −7.65163 10.4715i −0.317991 0.435181i
\(580\) 9.17601 + 3.24606i 0.381013 + 0.134785i
\(581\) 11.7262 + 4.85715i 0.486485 + 0.201509i
\(582\) 3.50355 10.4197i 0.145227 0.431912i
\(583\) −13.4177 + 13.4177i −0.555705 + 0.555705i
\(584\) −7.55579 + 13.5072i −0.312661 + 0.558931i
\(585\) 58.9371 + 18.7957i 2.43675 + 0.777105i
\(586\) −4.95446 21.8791i −0.204667 0.903819i
\(587\) −16.1148 6.67499i −0.665131 0.275506i 0.0244651 0.999701i \(-0.492212\pi\)
−0.689596 + 0.724195i \(0.742212\pi\)
\(588\) 6.08270 + 20.3075i 0.250846 + 0.837469i
\(589\) 2.99697 + 7.23532i 0.123488 + 0.298126i
\(590\) −38.6034 6.62686i −1.58928 0.272824i
\(591\) −1.87465 7.71588i −0.0771127 0.317389i
\(592\) 2.98143 1.62128i 0.122536 0.0666341i
\(593\) 35.2533 1.44768 0.723839 0.689969i \(-0.242376\pi\)
0.723839 + 0.689969i \(0.242376\pi\)
\(594\) −7.91435 13.0542i −0.324730 0.535619i
\(595\) −6.64317 + 2.75169i −0.272344 + 0.112808i
\(596\) −16.5826 14.9213i −0.679249 0.611201i
\(597\) −9.05415 1.40878i −0.370562 0.0576576i
\(598\) 11.5565 + 51.0342i 0.472581 + 2.08694i
\(599\) −12.1323 + 12.1323i −0.495712 + 0.495712i −0.910100 0.414388i \(-0.863996\pi\)
0.414388 + 0.910100i \(0.363996\pi\)
\(600\) 3.90448 + 32.1064i 0.159400 + 1.31074i
\(601\) 0.0132863 + 0.0132863i 0.000541959 + 0.000541959i 0.707378 0.706836i \(-0.249878\pi\)
−0.706836 + 0.707378i \(0.749878\pi\)
\(602\) 1.76041 2.79107i 0.0717488 0.113756i
\(603\) −27.0327 + 2.27568i −1.10086 + 0.0926727i
\(604\) −31.0682 + 14.8311i −1.26415 + 0.603468i
\(605\) −8.71287 21.0347i −0.354228 0.855183i
\(606\) −21.9697 + 25.1979i −0.892459 + 1.02359i
\(607\) 5.69469i 0.231140i −0.993299 0.115570i \(-0.963130\pi\)
0.993299 0.115570i \(-0.0368695\pi\)
\(608\) −6.09292 17.9017i −0.247100 0.726008i
\(609\) 0.548201 + 2.25635i 0.0222142 + 0.0914317i
\(610\) −3.05923 4.32723i −0.123865 0.175204i
\(611\) −16.9364 + 7.01530i −0.685175 + 0.283809i
\(612\) 10.7569 + 8.15590i 0.434821 + 0.329683i
\(613\) −12.0221 + 29.0239i −0.485567 + 1.17226i 0.471362 + 0.881940i \(0.343763\pi\)
−0.956929 + 0.290322i \(0.906237\pi\)
\(614\) 23.2737 + 14.6793i 0.939249 + 0.592410i
\(615\) 20.5677 33.7694i 0.829369 1.36171i
\(616\) 4.32800 3.41532i 0.174380 0.137607i
\(617\) 12.5126 + 12.5126i 0.503739 + 0.503739i 0.912598 0.408859i \(-0.134073\pi\)
−0.408859 + 0.912598i \(0.634073\pi\)
\(618\) −8.27859 16.6660i −0.333014 0.670404i
\(619\) 9.64869 23.2940i 0.387814 0.936265i −0.602589 0.798052i \(-0.705864\pi\)
0.990402 0.138213i \(-0.0441359\pi\)
\(620\) −11.8636 10.6751i −0.476455 0.428724i
\(621\) −14.1863 + 28.4134i −0.569275 + 1.14019i
\(622\) 29.0879 + 4.99339i 1.16632 + 0.200217i
\(623\) 8.80100i 0.352605i
\(624\) 39.4894 14.1338i 1.58084 0.565804i
\(625\) 14.4239i 0.576955i
\(626\) 1.27336 7.41768i 0.0508936 0.296470i
\(627\) 7.09655 + 9.71186i 0.283409 + 0.387854i
\(628\) −1.15667 21.9350i −0.0461560 0.875300i
\(629\) 0.730492 1.76356i 0.0291266 0.0703178i
\(630\) −10.3762 + 8.72869i −0.413399 + 0.347759i
\(631\) 14.0643 + 14.0643i 0.559893 + 0.559893i 0.929277 0.369384i \(-0.120431\pi\)
−0.369384 + 0.929277i \(0.620431\pi\)
\(632\) −6.66149 + 1.88222i −0.264980 + 0.0748706i
\(633\) −0.903639 0.550373i −0.0359164 0.0218753i
\(634\) 11.1483 17.6754i 0.442757 0.701978i
\(635\) 13.4147 32.3860i 0.532346 1.28520i
\(636\) 3.21160 31.4782i 0.127348 1.24819i
\(637\) 34.2273 14.1774i 1.35614 0.561730i
\(638\) −3.42756 + 2.42319i −0.135698 + 0.0959349i
\(639\) 0.631075 0.325889i 0.0249649 0.0128920i
\(640\) 26.9215 + 27.5733i 1.06417 + 1.08993i
\(641\) 2.18451i 0.0862828i −0.999069 0.0431414i \(-0.986263\pi\)
0.999069 0.0431414i \(-0.0137366\pi\)
\(642\) −23.4938 + 26.9459i −0.927226 + 1.06347i
\(643\) 10.9947 + 26.5434i 0.433587 + 1.04677i 0.978122 + 0.208033i \(0.0667062\pi\)
−0.544535 + 0.838738i \(0.683294\pi\)
\(644\) −10.8127 3.82505i −0.426080 0.150728i
\(645\) −14.4969 2.25565i −0.570816 0.0888162i
\(646\) −8.99636 5.67425i −0.353957 0.223250i
\(647\) 18.0436 + 18.0436i 0.709366 + 0.709366i 0.966402 0.257036i \(-0.0827458\pi\)
−0.257036 + 0.966402i \(0.582746\pi\)
\(648\) 23.9811 + 8.53851i 0.942067 + 0.335424i
\(649\) 11.9443 11.9443i 0.468857 0.468857i
\(650\) 55.1269 12.4833i 2.16225 0.489635i
\(651\) 0.585358 3.76206i 0.0229420 0.147447i
\(652\) 21.0814 1.11166i 0.825612 0.0435359i
\(653\) 9.04305 3.74575i 0.353882 0.146583i −0.198659 0.980069i \(-0.563658\pi\)
0.552540 + 0.833486i \(0.313658\pi\)
\(654\) −11.6354 + 0.796331i −0.454981 + 0.0311390i
\(655\) 60.4518 2.36205
\(656\) −2.81945 26.6596i −0.110081 1.04088i
\(657\) 7.53210 + 14.5857i 0.293855 + 0.569043i
\(658\) 0.679830 3.96021i 0.0265025 0.154385i
\(659\) −6.74648 16.2874i −0.262805 0.634468i 0.736305 0.676650i \(-0.236569\pi\)
−0.999110 + 0.0421820i \(0.986569\pi\)
\(660\) −21.5773 11.6306i −0.839894 0.452719i
\(661\) −20.2135 8.37271i −0.786215 0.325661i −0.0467942 0.998905i \(-0.514900\pi\)
−0.739421 + 0.673244i \(0.764900\pi\)
\(662\) 13.9789 3.16549i 0.543307 0.123030i
\(663\) 12.2716 20.1484i 0.476590 0.782498i
\(664\) −23.7014 30.0351i −0.919791 1.16559i
\(665\) 7.55453 7.55453i 0.292952 0.292952i
\(666\) 0.309270 3.58629i 0.0119840 0.138966i
\(667\) 8.06767 + 3.34174i 0.312381 + 0.129393i
\(668\) 32.8664 15.6895i 1.27164 0.607044i
\(669\) −14.9480 + 10.9226i −0.577921 + 0.422293i
\(670\) −35.5684 + 25.1459i −1.37413 + 0.971470i
\(671\) 2.28546 0.0882291
\(672\) −1.99728 + 8.97375i −0.0770468 + 0.346170i
\(673\) −12.4887 −0.481404 −0.240702 0.970599i \(-0.577378\pi\)
−0.240702 + 0.970599i \(0.577378\pi\)
\(674\) −21.3122 + 15.0671i −0.820915 + 0.580364i
\(675\) 30.6920 + 15.3239i 1.18134 + 0.589818i
\(676\) −20.3765 42.6848i −0.783712 1.64172i
\(677\) 40.9040 + 16.9430i 1.57207 + 0.651173i 0.987132 0.159906i \(-0.0511190\pi\)
0.584937 + 0.811078i \(0.301119\pi\)
\(678\) 4.56819 13.5860i 0.175440 0.521769i
\(679\) 2.97757 2.97757i 0.114269 0.114269i
\(680\) 21.5264 + 2.53725i 0.825501 + 0.0972990i
\(681\) 2.82970 + 1.72347i 0.108434 + 0.0660433i
\(682\) 6.71282 1.52009i 0.257047 0.0582074i
\(683\) −8.56803 3.54899i −0.327846 0.135798i 0.212688 0.977120i \(-0.431778\pi\)
−0.540535 + 0.841322i \(0.681778\pi\)
\(684\) −19.4034 5.07937i −0.741908 0.194214i
\(685\) 15.5523 + 37.5466i 0.594223 + 1.43458i
\(686\) −2.94543 + 17.1580i −0.112457 + 0.655095i
\(687\) 21.2502 5.16296i 0.810748 0.196979i
\(688\) −8.73877 + 4.75207i −0.333162 + 0.181171i
\(689\) −55.2970 −2.10665
\(690\) 3.48184 + 50.8742i 0.132551 + 1.93675i
\(691\) −32.2776 + 13.3698i −1.22790 + 0.508611i −0.899912 0.436072i \(-0.856369\pi\)
−0.327984 + 0.944683i \(0.606369\pi\)
\(692\) 1.12986 + 21.4266i 0.0429508 + 0.814517i
\(693\) −0.490537 5.82708i −0.0186340 0.221352i
\(694\) −7.27033 + 1.64634i −0.275978 + 0.0624943i
\(695\) −48.7163 + 48.7163i −1.84792 + 1.84792i
\(696\) 1.87834 6.74277i 0.0711982 0.255584i
\(697\) −10.6623 10.6623i −0.403864 0.403864i
\(698\) 24.6517 + 15.5485i 0.933080 + 0.588519i
\(699\) −2.63138 + 16.9117i −0.0995279 + 0.639660i
\(700\) −4.13180 + 11.6798i −0.156167 + 0.441456i
\(701\) 7.31376 + 17.6570i 0.276237 + 0.666895i 0.999725 0.0234415i \(-0.00746235\pi\)
−0.723488 + 0.690337i \(0.757462\pi\)
\(702\) 10.5911 43.2076i 0.399735 1.63077i
\(703\) 2.83621i 0.106970i
\(704\) −16.4123 + 2.61575i −0.618561 + 0.0985849i
\(705\) −17.3598 + 4.21774i −0.653808 + 0.158849i
\(706\) 15.4272 10.9066i 0.580610 0.410475i
\(707\) −11.8310 + 4.90055i −0.444949 + 0.184304i
\(708\) −2.85894 + 28.0216i −0.107446 + 1.05312i
\(709\) 17.1483 41.3997i 0.644019 1.55480i −0.177192 0.984176i \(-0.556701\pi\)
0.821212 0.570624i \(-0.193299\pi\)
\(710\) 0.608400 0.964601i 0.0228328 0.0362008i
\(711\) −2.23081 + 6.99510i −0.0836621 + 0.262337i
\(712\) 12.9520 23.1537i 0.485396 0.867723i
\(713\) −10.1246 10.1246i −0.379170 0.379170i
\(714\) 2.30042 + 4.63107i 0.0860909 + 0.173313i
\(715\) −16.3933 + 39.5768i −0.613073 + 1.48009i
\(716\) 49.6995 2.62074i 1.85736 0.0979415i
\(717\) −9.24354 + 6.75435i −0.345206 + 0.252246i
\(718\) −0.174200 + 1.01477i −0.00650109 + 0.0378708i
\(719\) 41.1609i 1.53504i −0.641023 0.767522i \(-0.721490\pi\)
0.641023 0.767522i \(-0.278510\pi\)
\(720\) 40.1434 7.69333i 1.49606 0.286713i
\(721\) 7.12823i 0.265469i
\(722\) −10.9070 1.87235i −0.405916 0.0696817i
\(723\) −18.6127 + 13.6005i −0.692213 + 0.505807i
\(724\) −16.0160 + 17.7991i −0.595230 + 0.661499i
\(725\) 3.60973 8.71466i 0.134062 0.323654i
\(726\) −14.6637 + 7.28396i −0.544219 + 0.270333i
\(727\) −2.53270 2.53270i −0.0939328 0.0939328i 0.658579 0.752512i \(-0.271158\pi\)
−0.752512 + 0.658579i \(0.771158\pi\)
\(728\) 15.9559 + 1.88066i 0.591363 + 0.0697020i
\(729\) 21.5813 16.2249i 0.799309 0.600920i
\(730\) 22.2943 + 14.0616i 0.825150 + 0.520444i
\(731\) −2.14112 + 5.16912i −0.0791922 + 0.191187i
\(732\) −2.95438 + 2.40734i −0.109197 + 0.0889779i
\(733\) −12.2518 + 5.07484i −0.452529 + 0.187444i −0.597294 0.802023i \(-0.703757\pi\)
0.144765 + 0.989466i \(0.453757\pi\)
\(734\) −30.6899 43.4104i −1.13279 1.60231i
\(735\) 35.0830 8.52375i 1.29405 0.314403i
\(736\) 22.8170 + 25.9755i 0.841046 + 0.957469i
\(737\) 18.7857i 0.691980i
\(738\) −25.2380 13.0982i −0.929023 0.482153i
\(739\) 0.871699 + 2.10447i 0.0320659 + 0.0774141i 0.939101 0.343640i \(-0.111660\pi\)
−0.907035 + 0.421054i \(0.861660\pi\)
\(740\) −2.48996 5.21597i −0.0915327 0.191743i
\(741\) −5.38909 + 34.6353i −0.197973 + 1.27236i
\(742\) 6.46601 10.2517i 0.237375 0.376351i
\(743\) 37.5946 + 37.5946i 1.37921 + 1.37921i 0.845950 + 0.533262i \(0.179034\pi\)
0.533262 + 0.845950i \(0.320966\pi\)
\(744\) −7.07640 + 9.03582i −0.259433 + 0.331269i
\(745\) −26.8642 + 26.8642i −0.984226 + 0.984226i
\(746\) 7.64811 + 33.7745i 0.280017 + 1.23657i
\(747\) −40.4383 + 3.40419i −1.47956 + 0.124553i
\(748\) −6.25271 + 6.94885i −0.228622 + 0.254075i
\(749\) −12.6517 + 5.24051i −0.462283 + 0.191484i
\(750\) 13.3346 0.912622i 0.486911 0.0333243i
\(751\) 33.5914 1.22577 0.612885 0.790172i \(-0.290009\pi\)
0.612885 + 0.790172i \(0.290009\pi\)
\(752\) −7.61654 + 9.41808i −0.277747 + 0.343442i
\(753\) −24.4285 + 5.93514i −0.890223 + 0.216288i
\(754\) −12.0560 2.06960i −0.439054 0.0753704i
\(755\) 22.4372 + 54.1683i 0.816575 + 1.97139i
\(756\) 6.77195 + 7.01588i 0.246293 + 0.255165i
\(757\) 30.7254 + 12.7269i 1.11673 + 0.462567i 0.863252 0.504773i \(-0.168424\pi\)
0.253483 + 0.967340i \(0.418424\pi\)
\(758\) −4.78628 21.1364i −0.173845 0.767710i
\(759\) −18.7822 11.4395i −0.681749 0.415228i
\(760\) −30.9921 + 8.75690i −1.12420 + 0.317646i