Properties

Label 384.2.w.a.323.36
Level $384$
Weight $2$
Character 384.323
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 323.36
Character \(\chi\) \(=\) 384.323
Dual form 384.2.w.a.107.36

$q$-expansion

\(f(q)\) \(=\) \(q+(0.348649 - 1.37056i) q^{2} +(0.545128 - 1.64403i) q^{3} +(-1.75689 - 0.955692i) q^{4} +(-2.82396 - 0.856639i) q^{5} +(-2.06319 - 1.32032i) q^{6} +(-0.0745750 - 0.374914i) q^{7} +(-1.92237 + 2.07472i) q^{8} +(-2.40567 - 1.79241i) q^{9} +O(q^{10})\) \(q+(0.348649 - 1.37056i) q^{2} +(0.545128 - 1.64403i) q^{3} +(-1.75689 - 0.955692i) q^{4} +(-2.82396 - 0.856639i) q^{5} +(-2.06319 - 1.32032i) q^{6} +(-0.0745750 - 0.374914i) q^{7} +(-1.92237 + 2.07472i) q^{8} +(-2.40567 - 1.79241i) q^{9} +(-2.15865 + 3.57175i) q^{10} +(0.231027 + 2.34566i) q^{11} +(-2.52891 + 2.36740i) q^{12} +(3.12979 - 0.949411i) q^{13} +(-0.539844 - 0.0285037i) q^{14} +(-2.94776 + 4.17570i) q^{15} +(2.17331 + 3.35809i) q^{16} +(-0.745322 - 0.308723i) q^{17} +(-3.29535 + 2.67220i) q^{18} +(0.936386 + 0.500509i) q^{19} +(4.14270 + 4.20386i) q^{20} +(-0.657023 - 0.0817723i) q^{21} +(3.29542 + 0.501175i) q^{22} +(-5.22949 - 7.82648i) q^{23} +(2.36297 + 4.29143i) q^{24} +(3.08357 + 2.06038i) q^{25} +(-0.210029 - 4.62059i) q^{26} +(-4.25818 + 2.97790i) q^{27} +(-0.227282 + 0.729952i) q^{28} +(0.407758 - 4.14004i) q^{29} +(4.69533 + 5.49595i) q^{30} +(-2.67551 - 2.67551i) q^{31} +(5.36019 - 1.80786i) q^{32} +(3.98227 + 0.898867i) q^{33} +(-0.682980 + 0.913875i) q^{34} +(-0.110569 + 1.12263i) q^{35} +(2.51350 + 5.44815i) q^{36} +(-5.34624 + 2.85762i) q^{37} +(1.01245 - 1.10887i) q^{38} +(0.145274 - 5.66302i) q^{39} +(7.20600 - 4.21216i) q^{40} +(-1.74994 - 2.61897i) q^{41} +(-0.341145 + 0.871982i) q^{42} +(5.57238 - 6.78997i) q^{43} +(1.83584 - 4.34185i) q^{44} +(5.25807 + 7.12249i) q^{45} +(-12.5499 + 4.43865i) q^{46} +(-10.9974 - 4.55527i) q^{47} +(6.70552 - 1.74239i) q^{48} +(6.33216 - 2.62287i) q^{49} +(3.89897 - 3.50788i) q^{50} +(-0.913845 + 1.05704i) q^{51} +(-6.40603 - 1.32311i) q^{52} +(0.956915 + 9.71572i) q^{53} +(2.59679 + 6.87435i) q^{54} +(1.35697 - 6.82195i) q^{55} +(0.921204 + 0.566002i) q^{56} +(1.33330 - 1.26661i) q^{57} +(-5.53202 - 2.00228i) q^{58} +(11.2313 + 3.40698i) q^{59} +(9.16956 - 4.51908i) q^{60} +(1.86997 + 2.27857i) q^{61} +(-4.59978 + 2.73414i) q^{62} +(-0.492598 + 1.03559i) q^{63} +(-0.608955 - 7.97679i) q^{64} -9.65171 q^{65} +(2.62037 - 5.14456i) q^{66} +(1.44003 - 1.18180i) q^{67} +(1.01440 + 1.25469i) q^{68} +(-15.7177 + 4.33101i) q^{69} +(1.50008 + 0.542945i) q^{70} +(-0.884109 - 4.44472i) q^{71} +(8.34336 - 1.54542i) q^{72} +(3.73126 + 0.742195i) q^{73} +(2.05259 + 8.32367i) q^{74} +(5.06827 - 3.94632i) q^{75} +(-1.16679 - 1.77423i) q^{76} +(0.862191 - 0.261543i) q^{77} +(-7.71088 - 2.17352i) q^{78} +(-0.353489 - 0.853397i) q^{79} +(-3.26066 - 11.3448i) q^{80} +(2.57451 + 8.62391i) q^{81} +(-4.19957 + 1.48530i) q^{82} +(-6.40718 - 3.42471i) q^{83} +(1.07617 + 0.771576i) q^{84} +(1.84030 + 1.51029i) q^{85} +(-7.36327 - 10.0046i) q^{86} +(-6.58407 - 2.92722i) q^{87} +(-5.31071 - 4.02991i) q^{88} +(5.43895 + 3.63419i) q^{89} +(11.5951 - 4.72327i) q^{90} +(-0.589352 - 1.10260i) q^{91} +(1.70791 + 18.7480i) q^{92} +(-5.85712 + 2.94013i) q^{93} +(-10.0775 + 13.4844i) q^{94} +(-2.21556 - 2.21556i) q^{95} +(-0.0501846 - 9.79783i) q^{96} +(-8.45955 + 8.45955i) q^{97} +(-1.38710 - 9.59308i) q^{98} +(3.64861 - 6.05698i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{19}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.348649 1.37056i 0.246532 0.969135i
\(3\) 0.545128 1.64403i 0.314730 0.949181i
\(4\) −1.75689 0.955692i −0.878444 0.477846i
\(5\) −2.82396 0.856639i −1.26291 0.383101i −0.413343 0.910575i \(-0.635639\pi\)
−0.849571 + 0.527475i \(0.823139\pi\)
\(6\) −2.06319 1.32032i −0.842293 0.539019i
\(7\) −0.0745750 0.374914i −0.0281867 0.141704i 0.964129 0.265433i \(-0.0855148\pi\)
−0.992316 + 0.123729i \(0.960515\pi\)
\(8\) −1.92237 + 2.07472i −0.679662 + 0.733526i
\(9\) −2.40567 1.79241i −0.801891 0.597471i
\(10\) −2.15865 + 3.57175i −0.682625 + 1.12949i
\(11\) 0.231027 + 2.34566i 0.0696573 + 0.707242i 0.965068 + 0.262001i \(0.0843822\pi\)
−0.895410 + 0.445242i \(0.853118\pi\)
\(12\) −2.52891 + 2.36740i −0.730035 + 0.683410i
\(13\) 3.12979 0.949411i 0.868048 0.263319i 0.175314 0.984513i \(-0.443906\pi\)
0.692734 + 0.721193i \(0.256406\pi\)
\(14\) −0.539844 0.0285037i −0.144279 0.00761795i
\(15\) −2.94776 + 4.17570i −0.761108 + 1.07816i
\(16\) 2.17331 + 3.35809i 0.543326 + 0.839522i
\(17\) −0.745322 0.308723i −0.180767 0.0748762i 0.290464 0.956886i \(-0.406190\pi\)
−0.471231 + 0.882010i \(0.656190\pi\)
\(18\) −3.29535 + 2.67220i −0.776722 + 0.629844i
\(19\) 0.936386 + 0.500509i 0.214822 + 0.114825i 0.575298 0.817944i \(-0.304886\pi\)
−0.360477 + 0.932768i \(0.617386\pi\)
\(20\) 4.14270 + 4.20386i 0.926335 + 0.940011i
\(21\) −0.657023 0.0817723i −0.143374 0.0178442i
\(22\) 3.29542 + 0.501175i 0.702586 + 0.106851i
\(23\) −5.22949 7.82648i −1.09042 1.63193i −0.705022 0.709185i \(-0.749063\pi\)
−0.385402 0.922749i \(-0.625937\pi\)
\(24\) 2.36297 + 4.29143i 0.482339 + 0.875985i
\(25\) 3.08357 + 2.06038i 0.616715 + 0.412076i
\(26\) −0.210029 4.62059i −0.0411901 0.906172i
\(27\) −4.25818 + 2.97790i −0.819487 + 0.573098i
\(28\) −0.227282 + 0.729952i −0.0429523 + 0.137948i
\(29\) 0.407758 4.14004i 0.0757188 0.768786i −0.880092 0.474803i \(-0.842519\pi\)
0.955811 0.293983i \(-0.0949807\pi\)
\(30\) 4.69533 + 5.49595i 0.857245 + 1.00342i
\(31\) −2.67551 2.67551i −0.480536 0.480536i 0.424767 0.905303i \(-0.360356\pi\)
−0.905303 + 0.424767i \(0.860356\pi\)
\(32\) 5.36019 1.80786i 0.947557 0.319587i
\(33\) 3.98227 + 0.898867i 0.693224 + 0.156473i
\(34\) −0.682980 + 0.913875i −0.117130 + 0.156728i
\(35\) −0.110569 + 1.12263i −0.0186896 + 0.189759i
\(36\) 2.51350 + 5.44815i 0.418917 + 0.908025i
\(37\) −5.34624 + 2.85762i −0.878916 + 0.469791i −0.848162 0.529736i \(-0.822291\pi\)
−0.0307540 + 0.999527i \(0.509791\pi\)
\(38\) 1.01245 1.10887i 0.164241 0.179883i
\(39\) 0.145274 5.66302i 0.0232624 0.906809i
\(40\) 7.20600 4.21216i 1.13937 0.666000i
\(41\) −1.74994 2.61897i −0.273294 0.409014i 0.669280 0.743010i \(-0.266603\pi\)
−0.942574 + 0.333996i \(0.891603\pi\)
\(42\) −0.341145 + 0.871982i −0.0526398 + 0.134550i
\(43\) 5.57238 6.78997i 0.849780 1.03546i −0.149131 0.988817i \(-0.547648\pi\)
0.998912 0.0466430i \(-0.0148523\pi\)
\(44\) 1.83584 4.34185i 0.276763 0.654558i
\(45\) 5.25807 + 7.12249i 0.783827 + 1.06176i
\(46\) −12.5499 + 4.43865i −1.85039 + 0.654443i
\(47\) −10.9974 4.55527i −1.60413 0.664454i −0.612141 0.790749i \(-0.709691\pi\)
−0.991993 + 0.126295i \(0.959691\pi\)
\(48\) 6.70552 1.74239i 0.967859 0.251493i
\(49\) 6.33216 2.62287i 0.904594 0.374695i
\(50\) 3.89897 3.50788i 0.551397 0.496090i
\(51\) −0.913845 + 1.05704i −0.127964 + 0.148015i
\(52\) −6.40603 1.32311i −0.888357 0.183482i
\(53\) 0.956915 + 9.71572i 0.131442 + 1.33456i 0.804052 + 0.594559i \(0.202673\pi\)
−0.672610 + 0.739998i \(0.734827\pi\)
\(54\) 2.59679 + 6.87435i 0.353379 + 0.935480i
\(55\) 1.35697 6.82195i 0.182974 0.919871i
\(56\) 0.921204 + 0.566002i 0.123101 + 0.0756353i
\(57\) 1.33330 1.26661i 0.176600 0.167766i
\(58\) −5.53202 2.00228i −0.726390 0.262912i
\(59\) 11.2313 + 3.40698i 1.46219 + 0.443552i 0.918395 0.395664i \(-0.129486\pi\)
0.543798 + 0.839216i \(0.316986\pi\)
\(60\) 9.16956 4.51908i 1.18379 0.583411i
\(61\) 1.86997 + 2.27857i 0.239425 + 0.291741i 0.878835 0.477125i \(-0.158321\pi\)
−0.639410 + 0.768866i \(0.720821\pi\)
\(62\) −4.59978 + 2.73414i −0.584172 + 0.347237i
\(63\) −0.492598 + 1.03559i −0.0620615 + 0.130472i
\(64\) −0.608955 7.97679i −0.0761194 0.997099i
\(65\) −9.65171 −1.19715
\(66\) 2.62037 5.14456i 0.322545 0.633252i
\(67\) 1.44003 1.18180i 0.175928 0.144380i −0.542309 0.840179i \(-0.682450\pi\)
0.718236 + 0.695799i \(0.244950\pi\)
\(68\) 1.01440 + 1.25469i 0.123014 + 0.152153i
\(69\) −15.7177 + 4.33101i −1.89219 + 0.521392i
\(70\) 1.50008 + 0.542945i 0.179294 + 0.0648943i
\(71\) −0.884109 4.44472i −0.104924 0.527491i −0.997120 0.0758414i \(-0.975836\pi\)
0.892195 0.451650i \(-0.149164\pi\)
\(72\) 8.34336 1.54542i 0.983275 0.182129i
\(73\) 3.73126 + 0.742195i 0.436711 + 0.0868673i 0.408550 0.912736i \(-0.366035\pi\)
0.0281617 + 0.999603i \(0.491035\pi\)
\(74\) 2.05259 + 8.32367i 0.238609 + 0.967607i
\(75\) 5.06827 3.94632i 0.585233 0.455682i
\(76\) −1.16679 1.77423i −0.133840 0.203519i
\(77\) 0.862191 0.261543i 0.0982558 0.0298056i
\(78\) −7.71088 2.17352i −0.873085 0.246102i
\(79\) −0.353489 0.853397i −0.0397706 0.0960147i 0.902746 0.430174i \(-0.141548\pi\)
−0.942517 + 0.334159i \(0.891548\pi\)
\(80\) −3.26066 11.3448i −0.364553 1.26839i
\(81\) 2.57451 + 8.62391i 0.286057 + 0.958213i
\(82\) −4.19957 + 1.48530i −0.463765 + 0.164024i
\(83\) −6.40718 3.42471i −0.703280 0.375911i 0.0806651 0.996741i \(-0.474296\pi\)
−0.783945 + 0.620830i \(0.786796\pi\)
\(84\) 1.07617 + 0.771576i 0.117419 + 0.0841859i
\(85\) 1.84030 + 1.51029i 0.199608 + 0.163814i
\(86\) −7.36327 10.0046i −0.794002 1.07883i
\(87\) −6.58407 2.92722i −0.705886 0.313830i
\(88\) −5.31071 4.02991i −0.566124 0.429590i
\(89\) 5.43895 + 3.63419i 0.576528 + 0.385224i 0.809377 0.587289i \(-0.199805\pi\)
−0.232849 + 0.972513i \(0.574805\pi\)
\(90\) 11.5951 4.72327i 1.22223 0.497876i
\(91\) −0.589352 1.10260i −0.0617809 0.115584i
\(92\) 1.70791 + 18.7480i 0.178062 + 1.95462i
\(93\) −5.85712 + 2.94013i −0.607355 + 0.304877i
\(94\) −10.0775 + 13.4844i −1.03942 + 1.39081i
\(95\) −2.21556 2.21556i −0.227312 0.227312i
\(96\) −0.0501846 9.79783i −0.00512195 0.999987i
\(97\) −8.45955 + 8.45955i −0.858938 + 0.858938i −0.991213 0.132275i \(-0.957772\pi\)
0.132275 + 0.991213i \(0.457772\pi\)
\(98\) −1.38710 9.59308i −0.140118 0.969048i
\(99\) 3.64861 6.05698i 0.366699 0.608749i
\(100\) −3.44841 6.56680i −0.344841 0.656680i
\(101\) 13.9516 7.45729i 1.38824 0.742028i 0.403321 0.915059i \(-0.367856\pi\)
0.984916 + 0.173031i \(0.0553560\pi\)
\(102\) 1.13013 + 1.62102i 0.111899 + 0.160505i
\(103\) 6.72740 10.0683i 0.662871 0.992056i −0.335871 0.941908i \(-0.609031\pi\)
0.998742 0.0501480i \(-0.0159693\pi\)
\(104\) −4.04686 + 8.31857i −0.396827 + 0.815703i
\(105\) 1.78536 + 0.793753i 0.174233 + 0.0774624i
\(106\) 13.6496 + 2.07587i 1.32577 + 0.201626i
\(107\) 1.56733 1.90980i 0.151519 0.184627i −0.691719 0.722167i \(-0.743146\pi\)
0.843238 + 0.537540i \(0.180646\pi\)
\(108\) 10.3271 1.16233i 0.993726 0.111846i
\(109\) 8.59594 16.0819i 0.823342 1.54036i −0.0179852 0.999838i \(-0.505725\pi\)
0.841327 0.540526i \(-0.181775\pi\)
\(110\) −8.87681 4.23828i −0.846370 0.404104i
\(111\) 1.78364 + 10.3471i 0.169296 + 0.982108i
\(112\) 1.09692 1.06523i 0.103649 0.100655i
\(113\) 9.26952 3.83956i 0.872003 0.361195i 0.0986127 0.995126i \(-0.468560\pi\)
0.773390 + 0.633931i \(0.218560\pi\)
\(114\) −1.27111 2.26898i −0.119050 0.212509i
\(115\) 8.06340 + 26.5815i 0.751916 + 2.47873i
\(116\) −4.67299 + 6.88389i −0.433876 + 0.639153i
\(117\) −9.23098 3.32590i −0.853405 0.307480i
\(118\) 8.58528 14.2054i 0.790339 1.30771i
\(119\) −0.0601620 + 0.302455i −0.00551504 + 0.0277260i
\(120\) −2.99673 14.1430i −0.273562 1.29108i
\(121\) 5.33991 1.06217i 0.485446 0.0965612i
\(122\) 3.77489 1.76849i 0.341762 0.160112i
\(123\) −5.25960 + 1.44928i −0.474242 + 0.130677i
\(124\) 2.14361 + 7.25754i 0.192502 + 0.651746i
\(125\) 2.41768 + 2.94595i 0.216244 + 0.263494i
\(126\) 1.24760 + 1.03619i 0.111145 + 0.0923115i
\(127\) 2.76012i 0.244921i −0.992473 0.122461i \(-0.960921\pi\)
0.992473 0.122461i \(-0.0390786\pi\)
\(128\) −11.1450 1.94649i −0.985089 0.172047i
\(129\) −8.12525 12.8626i −0.715389 1.13249i
\(130\) −3.36506 + 13.2283i −0.295135 + 1.16020i
\(131\) 16.0246 13.1511i 1.40008 1.14902i 0.430974 0.902364i \(-0.358170\pi\)
0.969104 0.246651i \(-0.0793301\pi\)
\(132\) −6.13736 5.38503i −0.534189 0.468707i
\(133\) 0.117817 0.388390i 0.0102160 0.0336777i
\(134\) −1.11767 2.38569i −0.0965520 0.206092i
\(135\) 14.5759 4.76176i 1.25450 0.409827i
\(136\) 2.07330 0.952857i 0.177784 0.0817068i
\(137\) −2.71768 0.540581i −0.232187 0.0461849i 0.0776251 0.996983i \(-0.475266\pi\)
−0.309812 + 0.950798i \(0.600266\pi\)
\(138\) 0.455947 + 23.0521i 0.0388128 + 1.96233i
\(139\) −10.8020 + 1.06391i −0.916216 + 0.0902394i −0.545123 0.838356i \(-0.683517\pi\)
−0.371093 + 0.928596i \(0.621017\pi\)
\(140\) 1.26714 1.86666i 0.107093 0.157761i
\(141\) −13.4840 + 15.5968i −1.13556 + 1.31349i
\(142\) −6.40001 0.337920i −0.537077 0.0283577i
\(143\) 2.95006 + 7.12207i 0.246696 + 0.595578i
\(144\) 0.790817 11.9739i 0.0659014 0.997826i
\(145\) −4.69801 + 11.3420i −0.390149 + 0.941902i
\(146\) 2.31813 4.85517i 0.191850 0.401817i
\(147\) −0.860237 11.8401i −0.0709512 0.976551i
\(148\) 12.1237 + 0.0888349i 0.996566 + 0.00730218i
\(149\) 13.1553 + 10.7963i 1.07772 + 0.884465i 0.993708 0.111999i \(-0.0357253\pi\)
0.0840160 + 0.996464i \(0.473225\pi\)
\(150\) −3.64164 8.32226i −0.297338 0.679510i
\(151\) −2.48099 + 1.65774i −0.201900 + 0.134905i −0.652410 0.757866i \(-0.726242\pi\)
0.450510 + 0.892771i \(0.351242\pi\)
\(152\) −2.83850 + 0.980577i −0.230233 + 0.0795353i
\(153\) 1.23964 + 2.07861i 0.100219 + 0.168046i
\(154\) −0.0578585 1.27287i −0.00466237 0.102571i
\(155\) 5.26359 + 9.84749i 0.422782 + 0.790970i
\(156\) −5.66733 + 9.81045i −0.453750 + 0.785465i
\(157\) 8.91691 + 0.878239i 0.711647 + 0.0700911i 0.447361 0.894353i \(-0.352364\pi\)
0.264286 + 0.964444i \(0.414864\pi\)
\(158\) −1.29288 + 0.186942i −0.102856 + 0.0148723i
\(159\) 16.4946 + 3.72311i 1.30811 + 0.295262i
\(160\) −16.6857 + 0.513569i −1.31912 + 0.0406012i
\(161\) −2.54427 + 2.54427i −0.200516 + 0.200516i
\(162\) 12.7172 0.521813i 0.999159 0.0409975i
\(163\) −20.2689 1.99631i −1.58758 0.156363i −0.734672 0.678422i \(-0.762664\pi\)
−0.852909 + 0.522059i \(0.825164\pi\)
\(164\) 0.571517 + 6.27363i 0.0446280 + 0.489888i
\(165\) −10.4758 5.94973i −0.815538 0.463186i
\(166\) −6.92764 + 7.58743i −0.537689 + 0.588899i
\(167\) −4.06363 + 6.08165i −0.314453 + 0.470612i −0.954705 0.297552i \(-0.903830\pi\)
0.640253 + 0.768165i \(0.278830\pi\)
\(168\) 1.43270 1.20594i 0.110535 0.0930406i
\(169\) −1.91490 + 1.27950i −0.147300 + 0.0984228i
\(170\) 2.71157 1.99568i 0.207968 0.153062i
\(171\) −1.35552 2.88245i −0.103659 0.220427i
\(172\) −16.2792 + 6.60373i −1.24127 + 0.503529i
\(173\) −11.1741 + 20.9053i −0.849550 + 1.58940i −0.0423626 + 0.999102i \(0.513488\pi\)
−0.807188 + 0.590295i \(0.799012\pi\)
\(174\) −6.30746 + 8.00331i −0.478168 + 0.606729i
\(175\) 0.542507 1.30973i 0.0410097 0.0990062i
\(176\) −7.37483 + 5.87364i −0.555898 + 0.442742i
\(177\) 11.7237 16.6074i 0.881206 1.24829i
\(178\) 6.87718 6.18737i 0.515466 0.463763i
\(179\) 0.653940 + 2.15575i 0.0488778 + 0.161128i 0.977982 0.208690i \(-0.0669199\pi\)
−0.929104 + 0.369818i \(0.879420\pi\)
\(180\) −2.43093 17.5385i −0.181191 1.30724i
\(181\) −17.7644 + 1.74964i −1.32042 + 0.130050i −0.733552 0.679633i \(-0.762139\pi\)
−0.586867 + 0.809683i \(0.699639\pi\)
\(182\) −1.71666 + 0.423323i −0.127247 + 0.0313788i
\(183\) 4.76541 1.83218i 0.352269 0.135439i
\(184\) 26.2908 + 4.19568i 1.93818 + 0.309310i
\(185\) 17.5455 3.49002i 1.28997 0.256591i
\(186\) 1.98755 + 9.05263i 0.145734 + 0.663771i
\(187\) 0.551968 1.81959i 0.0403639 0.133062i
\(188\) 14.9677 + 18.5132i 1.09163 + 1.35021i
\(189\) 1.43401 + 1.37437i 0.104309 + 0.0999710i
\(190\) −3.80902 + 2.26411i −0.276336 + 0.164256i
\(191\) 0.443876i 0.0321177i −0.999871 0.0160589i \(-0.994888\pi\)
0.999871 0.0160589i \(-0.00511191\pi\)
\(192\) −13.4460 3.34723i −0.970385 0.241565i
\(193\) 0.693338i 0.0499076i 0.999689 + 0.0249538i \(0.00794386\pi\)
−0.999689 + 0.0249538i \(0.992056\pi\)
\(194\) 8.64494 + 14.5438i 0.620670 + 1.04418i
\(195\) −5.26141 + 15.8677i −0.376777 + 1.13631i
\(196\) −13.6315 1.44351i −0.973681 0.103108i
\(197\) 2.76860 9.12685i 0.197255 0.650261i −0.801387 0.598147i \(-0.795904\pi\)
0.998641 0.0521143i \(-0.0165960\pi\)
\(198\) −7.02938 7.11241i −0.499557 0.505457i
\(199\) 0.0877509 0.0174547i 0.00622049 0.00123733i −0.191979 0.981399i \(-0.561491\pi\)
0.198200 + 0.980162i \(0.436491\pi\)
\(200\) −10.2025 + 2.43675i −0.721426 + 0.172304i
\(201\) −1.15792 3.01169i −0.0816733 0.212428i
\(202\) −5.35647 21.7215i −0.376880 1.52832i
\(203\) −1.58257 + 0.155869i −0.111074 + 0.0109399i
\(204\) 2.61573 0.983744i 0.183137 0.0688759i
\(205\) 2.69824 + 8.89492i 0.188454 + 0.621248i
\(206\) −11.4537 12.7306i −0.798017 0.886985i
\(207\) −1.44785 + 28.2013i −0.100633 + 1.96013i
\(208\) 9.99019 + 8.44674i 0.692695 + 0.585676i
\(209\) −0.957692 + 2.31207i −0.0662449 + 0.159929i
\(210\) 1.71035 2.17020i 0.118026 0.149758i
\(211\) −8.99333 + 16.8253i −0.619126 + 1.15830i 0.355545 + 0.934659i \(0.384295\pi\)
−0.974671 + 0.223644i \(0.928205\pi\)
\(212\) 7.60405 17.9839i 0.522248 1.23514i
\(213\) −7.78920 0.969435i −0.533707 0.0664246i
\(214\) −2.07105 2.81397i −0.141574 0.192359i
\(215\) −21.5527 + 14.4011i −1.46988 + 0.982146i
\(216\) 2.00748 14.5592i 0.136592 0.990627i
\(217\) −0.803561 + 1.20261i −0.0545493 + 0.0816388i
\(218\) −19.0443 17.3882i −1.28984 1.17768i
\(219\) 3.25420 5.72972i 0.219899 0.387179i
\(220\) −8.90373 + 10.6885i −0.600289 + 0.720622i
\(221\) −2.62581 0.258619i −0.176631 0.0173966i
\(222\) 14.8033 + 1.16294i 0.993532 + 0.0780512i
\(223\) 9.32342 9.32342i 0.624342 0.624342i −0.322296 0.946639i \(-0.604455\pi\)
0.946639 + 0.322296i \(0.104455\pi\)
\(224\) −1.07753 1.87479i −0.0719953 0.125265i
\(225\) −3.72502 10.4836i −0.248335 0.698909i
\(226\) −2.03055 14.0431i −0.135070 0.934134i
\(227\) −25.2847 2.49033i −1.67821 0.165289i −0.786403 0.617714i \(-0.788059\pi\)
−0.891803 + 0.452425i \(0.850559\pi\)
\(228\) −3.55295 + 0.951058i −0.235300 + 0.0629854i
\(229\) 2.61511 + 4.89254i 0.172812 + 0.323308i 0.953385 0.301756i \(-0.0975728\pi\)
−0.780573 + 0.625064i \(0.785073\pi\)
\(230\) 39.2429 1.78379i 2.58760 0.117619i
\(231\) 0.0400198 1.56004i 0.00263311 0.102643i
\(232\) 7.80557 + 8.80469i 0.512461 + 0.578056i
\(233\) 18.9899 12.6886i 1.24407 0.831260i 0.253374 0.967368i \(-0.418460\pi\)
0.990694 + 0.136109i \(0.0434596\pi\)
\(234\) −7.77674 + 11.4921i −0.508381 + 0.751260i
\(235\) 27.1540 + 22.2847i 1.77133 + 1.45369i
\(236\) −16.4761 16.7194i −1.07251 1.08834i
\(237\) −1.59571 + 0.115936i −0.103652 + 0.00753084i
\(238\) 0.393558 + 0.187906i 0.0255106 + 0.0121802i
\(239\) −0.648295 + 1.56512i −0.0419347 + 0.101239i −0.943459 0.331489i \(-0.892449\pi\)
0.901524 + 0.432728i \(0.142449\pi\)
\(240\) −20.4287 0.823761i −1.31867 0.0531736i
\(241\) 7.09867 + 17.1377i 0.457265 + 1.10394i 0.969500 + 0.245091i \(0.0788177\pi\)
−0.512235 + 0.858845i \(0.671182\pi\)
\(242\) 0.405979 7.68900i 0.0260973 0.494268i
\(243\) 15.5814 + 0.468552i 0.999548 + 0.0300576i
\(244\) −1.10772 5.79031i −0.0709146 0.370686i
\(245\) −20.1286 + 1.98250i −1.28597 + 0.126657i
\(246\) 0.152573 + 7.71390i 0.00972770 + 0.491820i
\(247\) 3.40588 + 0.677472i 0.216711 + 0.0431065i
\(248\) 10.6943 0.407613i 0.679088 0.0258834i
\(249\) −9.12306 + 8.66670i −0.578151 + 0.549230i
\(250\) 4.88053 2.28648i 0.308672 0.144610i
\(251\) −7.14486 + 23.5534i −0.450980 + 1.48668i 0.377154 + 0.926150i \(0.376903\pi\)
−0.828134 + 0.560530i \(0.810597\pi\)
\(252\) 1.85514 1.34864i 0.116863 0.0849565i
\(253\) 17.1501 14.0747i 1.07822 0.884870i
\(254\) −3.78293 0.962316i −0.237362 0.0603811i
\(255\) 3.48616 2.20220i 0.218312 0.137907i
\(256\) −6.55349 + 14.5963i −0.409593 + 0.912268i
\(257\) 3.95566i 0.246747i 0.992360 + 0.123374i \(0.0393714\pi\)
−0.992360 + 0.123374i \(0.960629\pi\)
\(258\) −20.4618 + 6.65165i −1.27390 + 0.414114i
\(259\) 1.47006 + 1.79127i 0.0913451 + 0.111304i
\(260\) 16.9570 + 9.22406i 1.05163 + 0.572052i
\(261\) −8.40159 + 9.22870i −0.520045 + 0.571242i
\(262\) −12.4374 26.5479i −0.768385 1.64013i
\(263\) 11.3600 2.25965i 0.700488 0.139336i 0.168017 0.985784i \(-0.446264\pi\)
0.532471 + 0.846448i \(0.321264\pi\)
\(264\) −9.52031 + 6.53415i −0.585935 + 0.402149i
\(265\) 5.62058 28.2565i 0.345269 1.73579i
\(266\) −0.491236 0.296887i −0.0301196 0.0182033i
\(267\) 8.93964 6.96071i 0.547097 0.425988i
\(268\) −3.65941 + 0.700068i −0.223534 + 0.0427635i
\(269\) 7.91740 + 26.1002i 0.482733 + 1.59136i 0.772997 + 0.634410i \(0.218757\pi\)
−0.290265 + 0.956946i \(0.593743\pi\)
\(270\) −1.44441 21.6374i −0.0879041 1.31681i
\(271\) −22.5640 + 9.34632i −1.37067 + 0.567748i −0.941969 0.335700i \(-0.891027\pi\)
−0.428697 + 0.903448i \(0.641027\pi\)
\(272\) −0.583096 3.17380i −0.0353554 0.192440i
\(273\) −2.13398 + 0.367855i −0.129154 + 0.0222636i
\(274\) −1.68842 + 3.53628i −0.102001 + 0.213635i
\(275\) −4.12055 + 7.70901i −0.248479 + 0.464871i
\(276\) 31.7534 + 7.41220i 1.91133 + 0.446162i
\(277\) 10.4104 12.6851i 0.625499 0.762172i −0.359797 0.933031i \(-0.617154\pi\)
0.985296 + 0.170858i \(0.0546540\pi\)
\(278\) −2.30797 + 15.1758i −0.138423 + 0.910183i
\(279\) 1.64078 + 11.2320i 0.0982311 + 0.672444i
\(280\) −2.11658 2.38751i −0.126490 0.142681i
\(281\) 11.2093 16.7759i 0.668691 1.00077i −0.329701 0.944085i \(-0.606948\pi\)
0.998392 0.0566819i \(-0.0180521\pi\)
\(282\) 16.6753 + 23.9185i 0.992998 + 1.42432i
\(283\) 14.4709 7.73483i 0.860203 0.459788i 0.0185635 0.999828i \(-0.494091\pi\)
0.841640 + 0.540039i \(0.181591\pi\)
\(284\) −2.69450 + 8.65380i −0.159889 + 0.513509i
\(285\) −4.85022 + 2.43469i −0.287302 + 0.144218i
\(286\) 10.7898 1.56014i 0.638014 0.0922528i
\(287\) −0.851385 + 0.851385i −0.0502557 + 0.0502557i
\(288\) −16.1353 5.25856i −0.950781 0.309864i
\(289\) −11.5606 11.5606i −0.680036 0.680036i
\(290\) 13.9070 + 10.3933i 0.816646 + 0.610316i
\(291\) 9.29623 + 18.5193i 0.544955 + 1.08562i
\(292\) −5.84610 4.86989i −0.342117 0.284989i
\(293\) −5.04047 9.43006i −0.294468 0.550910i 0.690567 0.723269i \(-0.257361\pi\)
−0.985034 + 0.172359i \(0.944861\pi\)
\(294\) −16.5275 2.94902i −0.963901 0.171990i
\(295\) −28.7983 19.2424i −1.67670 1.12033i
\(296\) 4.34869 16.5854i 0.252763 0.964006i
\(297\) −7.96890 9.30025i −0.462402 0.539655i
\(298\) 19.3836 14.2661i 1.12286 0.826411i
\(299\) −23.7978 19.5303i −1.37626 1.12947i
\(300\) −12.6758 + 2.08954i −0.731840 + 0.120640i
\(301\) −2.96122 1.58280i −0.170682 0.0912312i
\(302\) 1.40705 + 3.97832i 0.0809664 + 0.228927i
\(303\) −4.65461 27.0020i −0.267400 1.55123i
\(304\) 0.354301 + 4.23222i 0.0203206 + 0.242735i
\(305\) −3.32882 8.03648i −0.190608 0.460167i
\(306\) 3.28107 0.974302i 0.187566 0.0556972i
\(307\) −1.40050 + 0.424838i −0.0799309 + 0.0242468i −0.329997 0.943982i \(-0.607048\pi\)
0.250066 + 0.968229i \(0.419548\pi\)
\(308\) −1.76473 0.364488i −0.100555 0.0207686i
\(309\) −12.8852 16.5485i −0.733016 0.941414i
\(310\) 15.3318 3.78077i 0.870785 0.214733i
\(311\) −12.1369 2.41417i −0.688218 0.136895i −0.161420 0.986886i \(-0.551607\pi\)
−0.526798 + 0.849991i \(0.676607\pi\)
\(312\) 11.4699 + 11.1878i 0.649357 + 0.633387i
\(313\) 1.43263 + 7.20230i 0.0809768 + 0.407098i 0.999919 + 0.0127064i \(0.00404467\pi\)
−0.918942 + 0.394392i \(0.870955\pi\)
\(314\) 4.31256 11.9150i 0.243372 0.672402i
\(315\) 2.27820 2.50249i 0.128362 0.140999i
\(316\) −0.194545 + 1.83715i −0.0109440 + 0.103348i
\(317\) 10.2020 8.37253i 0.572999 0.470248i −0.302713 0.953082i \(-0.597892\pi\)
0.875712 + 0.482834i \(0.160392\pi\)
\(318\) 10.8536 21.3088i 0.608639 1.19494i
\(319\) 9.80531 0.548992
\(320\) −5.11356 + 23.0478i −0.285857 + 1.28841i
\(321\) −2.28537 3.61782i −0.127557 0.201927i
\(322\) 2.60002 + 4.37414i 0.144894 + 0.243761i
\(323\) −0.543391 0.662124i −0.0302351 0.0368416i
\(324\) 3.71867 17.6117i 0.206593 0.978427i
\(325\) 11.6071 + 3.52097i 0.643845 + 0.195308i
\(326\) −9.80280 + 27.0838i −0.542927 + 1.50003i
\(327\) −21.7532 22.8987i −1.20296 1.26630i
\(328\) 8.79766 + 1.40400i 0.485770 + 0.0775227i
\(329\) −0.887703 + 4.46278i −0.0489406 + 0.246041i
\(330\) −11.8069 + 12.2833i −0.649946 + 0.676175i
\(331\) −2.36854 24.0482i −0.130187 1.32181i −0.809135 0.587623i \(-0.800064\pi\)
0.678948 0.734186i \(-0.262436\pi\)
\(332\) 7.98373 + 12.1401i 0.438164 + 0.666276i
\(333\) 17.9833 + 2.70816i 0.985481 + 0.148406i
\(334\) 6.91850 + 7.68982i 0.378564 + 0.420768i
\(335\) −5.07897 + 2.10378i −0.277494 + 0.114942i
\(336\) −1.15331 2.38406i −0.0629184 0.130061i
\(337\) −29.2503 12.1159i −1.59337 0.659994i −0.602909 0.797810i \(-0.705992\pi\)
−0.990458 + 0.137816i \(0.955992\pi\)
\(338\) 1.08600 + 3.07059i 0.0590707 + 0.167018i
\(339\) −1.25928 17.3324i −0.0683949 0.941368i
\(340\) −1.78982 4.41217i −0.0970666 0.239284i
\(341\) 5.65772 6.89395i 0.306383 0.373328i
\(342\) −4.42318 + 0.852861i −0.239178 + 0.0461174i
\(343\) −2.94217 4.40327i −0.158862 0.237754i
\(344\) 3.37510 + 24.6140i 0.181973 + 1.32710i
\(345\) 48.0963 + 1.23382i 2.58942 + 0.0664264i
\(346\) 24.7561 + 22.6034i 1.33090 + 1.21517i
\(347\) 7.38226 3.94590i 0.396300 0.211827i −0.261194 0.965286i \(-0.584116\pi\)
0.657494 + 0.753459i \(0.271616\pi\)
\(348\) 8.76995 + 11.4351i 0.470119 + 0.612987i
\(349\) −0.687998 + 6.98536i −0.0368277 + 0.373918i 0.959052 + 0.283231i \(0.0914062\pi\)
−0.995879 + 0.0906868i \(0.971094\pi\)
\(350\) −1.60592 1.20018i −0.0858401 0.0641521i
\(351\) −10.4999 + 13.3630i −0.560446 + 0.713263i
\(352\) 5.47896 + 12.1555i 0.292030 + 0.647891i
\(353\) 10.6551 + 10.6551i 0.567111 + 0.567111i 0.931318 0.364207i \(-0.118660\pi\)
−0.364207 + 0.931318i \(0.618660\pi\)
\(354\) −18.6740 21.8582i −0.992513 1.16175i
\(355\) −1.31083 + 13.3091i −0.0695716 + 0.706372i
\(356\) −6.08246 11.5828i −0.322370 0.613889i
\(357\) 0.464449 + 0.263785i 0.0245812 + 0.0139610i
\(358\) 3.18259 0.144665i 0.168205 0.00764577i
\(359\) 19.1233 + 12.7778i 1.00929 + 0.674384i 0.946186 0.323623i \(-0.104901\pi\)
0.0631010 + 0.998007i \(0.479901\pi\)
\(360\) −24.8852 2.78305i −1.31156 0.146680i
\(361\) −9.92952 14.8606i −0.522607 0.782136i
\(362\) −3.79556 + 24.9573i −0.199490 + 1.31173i
\(363\) 1.16468 9.35799i 0.0611301 0.491167i
\(364\) −0.0183212 + 2.50038i −0.000960290 + 0.131056i
\(365\) −9.90115 5.29227i −0.518250 0.277010i
\(366\) −0.849664 7.17008i −0.0444126 0.374786i
\(367\) 16.7221 + 6.92652i 0.872886 + 0.361561i 0.773734 0.633511i \(-0.218387\pi\)
0.0991525 + 0.995072i \(0.468387\pi\)
\(368\) 14.9167 34.5704i 0.777588 1.80211i
\(369\) −0.484493 + 9.43698i −0.0252217 + 0.491270i
\(370\) 1.33394 25.2640i 0.0693483 1.31341i
\(371\) 3.57120 1.08331i 0.185407 0.0562427i
\(372\) 13.1002 + 0.432129i 0.679212 + 0.0224048i
\(373\) −1.56010 15.8399i −0.0807787 0.820160i −0.947157 0.320771i \(-0.896058\pi\)
0.866378 0.499389i \(-0.166442\pi\)
\(374\) −2.30142 1.39091i −0.119004 0.0719221i
\(375\) 6.16117 2.36882i 0.318162 0.122325i
\(376\) 30.5920 14.0596i 1.57766 0.725069i
\(377\) −2.65440 13.3446i −0.136709 0.687281i
\(378\) 2.38363 1.48623i 0.122601 0.0764434i
\(379\) 34.3932 + 10.4331i 1.76666 + 0.535911i 0.994978 0.100096i \(-0.0319150\pi\)
0.771683 + 0.636007i \(0.219415\pi\)
\(380\) 1.77510 + 6.00989i 0.0910606 + 0.308301i
\(381\) −4.53773 1.50462i −0.232475 0.0770840i
\(382\) −0.608360 0.154757i −0.0311264 0.00791806i
\(383\) −3.75605 −0.191925 −0.0959627 0.995385i \(-0.530593\pi\)
−0.0959627 + 0.995385i \(0.530593\pi\)
\(384\) −9.27554 + 17.2616i −0.473340 + 0.880880i
\(385\) −2.65884 −0.135507
\(386\) 0.950263 + 0.241732i 0.0483671 + 0.0123038i
\(387\) −25.5757 + 6.34643i −1.30009 + 0.322607i
\(388\) 22.9472 6.77775i 1.16497 0.344088i
\(389\) 16.3846 + 4.97021i 0.830732 + 0.252000i 0.676879 0.736094i \(-0.263332\pi\)
0.153853 + 0.988094i \(0.450832\pi\)
\(390\) 19.9133 + 12.7434i 1.00835 + 0.645285i
\(391\) 1.48144 + 7.44771i 0.0749197 + 0.376647i
\(392\) −6.73106 + 18.1796i −0.339970 + 0.918209i
\(393\) −12.8853 33.5140i −0.649978 1.69056i
\(394\) −11.5437 6.97661i −0.581561 0.351477i
\(395\) 0.267185 + 2.71277i 0.0134435 + 0.136494i
\(396\) −12.1988 + 7.15448i −0.613013 + 0.359526i
\(397\) −28.4080 + 8.61747i −1.42576 + 0.432499i −0.906531 0.422139i \(-0.861280\pi\)
−0.519226 + 0.854637i \(0.673780\pi\)
\(398\) 0.00667147 0.126354i 0.000334411 0.00633354i
\(399\) −0.574300 0.405416i −0.0287509 0.0202962i
\(400\) −0.217381 + 14.8327i −0.0108690 + 0.741637i
\(401\) 6.91704 + 2.86513i 0.345420 + 0.143078i 0.548647 0.836054i \(-0.315143\pi\)
−0.203227 + 0.979132i \(0.565143\pi\)
\(402\) −4.53142 + 0.536979i −0.226007 + 0.0267821i
\(403\) −10.9140 5.83363i −0.543663 0.290594i
\(404\) −31.6383 0.231825i −1.57406 0.0115337i
\(405\) 0.117253 26.5590i 0.00582633 1.31973i
\(406\) −0.338132 + 2.22335i −0.0167812 + 0.110343i
\(407\) −7.93813 11.8803i −0.393479 0.588882i
\(408\) −0.436312 3.92800i −0.0216007 0.194465i
\(409\) −18.2744 12.2105i −0.903609 0.603772i 0.0145893 0.999894i \(-0.495356\pi\)
−0.918198 + 0.396121i \(0.870356\pi\)
\(410\) 13.1318 0.596906i 0.648533 0.0294791i
\(411\) −2.37022 + 4.17327i −0.116914 + 0.205852i
\(412\) −21.4414 + 11.2595i −1.05634 + 0.554715i
\(413\) 0.439750 4.46486i 0.0216387 0.219701i
\(414\) 38.1469 + 11.8168i 1.87482 + 0.580762i
\(415\) 15.1599 + 15.1599i 0.744170 + 0.744170i
\(416\) 15.0599 10.7472i 0.738371 0.526927i
\(417\) −4.13939 + 18.3388i −0.202707 + 0.898056i
\(418\) 2.83494 + 2.11868i 0.138662 + 0.103628i
\(419\) 2.09861 21.3075i 0.102524 1.04094i −0.796974 0.604014i \(-0.793567\pi\)
0.899497 0.436926i \(-0.143933\pi\)
\(420\) −2.37809 3.10079i −0.116039 0.151303i
\(421\) −9.27719 + 4.95876i −0.452143 + 0.241675i −0.681717 0.731616i \(-0.738767\pi\)
0.229575 + 0.973291i \(0.426267\pi\)
\(422\) 19.9247 + 18.1921i 0.969918 + 0.885576i
\(423\) 18.2912 + 30.6703i 0.889348 + 1.49124i
\(424\) −21.9970 16.6919i −1.06827 0.810631i
\(425\) −1.66217 2.48762i −0.0806272 0.120667i
\(426\) −4.04437 + 10.3376i −0.195951 + 0.500858i
\(427\) 0.714814 0.871003i 0.0345923 0.0421508i
\(428\) −4.57880 + 1.85741i −0.221325 + 0.0897814i
\(429\) 13.3171 0.967549i 0.642954 0.0467137i
\(430\) 12.2232 + 34.5603i 0.589457 + 1.66665i
\(431\) 23.0634 + 9.55318i 1.11093 + 0.460161i 0.861257 0.508170i \(-0.169678\pi\)
0.249670 + 0.968331i \(0.419678\pi\)
\(432\) −19.2544 7.82744i −0.926377 0.376598i
\(433\) 17.0872 7.07774i 0.821158 0.340135i 0.0677615 0.997702i \(-0.478414\pi\)
0.753396 + 0.657567i \(0.228414\pi\)
\(434\) 1.36810 + 1.52062i 0.0656708 + 0.0729922i
\(435\) 16.0856 + 13.9065i 0.771245 + 0.666766i
\(436\) −30.4714 + 20.0390i −1.45932 + 0.959693i
\(437\) −0.979597 9.94602i −0.0468605 0.475782i
\(438\) −6.71837 6.45776i −0.321016 0.308564i
\(439\) 5.79699 29.1434i 0.276675 1.39094i −0.553227 0.833030i \(-0.686604\pi\)
0.829902 0.557909i \(-0.188396\pi\)
\(440\) 11.5451 + 15.9297i 0.550389 + 0.759418i
\(441\) −19.9344 5.04008i −0.949255 0.240004i
\(442\) −1.26994 + 3.50867i −0.0604049 + 0.166890i
\(443\) 19.7550 + 5.99262i 0.938589 + 0.284718i 0.722275 0.691606i \(-0.243096\pi\)
0.216314 + 0.976324i \(0.430596\pi\)
\(444\) 6.75504 19.8834i 0.320580 0.943624i
\(445\) −12.2462 14.9220i −0.580525 0.707372i
\(446\) −9.52773 16.0289i −0.451151 0.758992i
\(447\) 24.9207 15.7424i 1.17871 0.744588i
\(448\) −2.94520 + 0.823175i −0.139148 + 0.0388914i
\(449\) 1.12173 0.0529377 0.0264689 0.999650i \(-0.491574\pi\)
0.0264689 + 0.999650i \(0.491574\pi\)
\(450\) −15.6672 + 1.45026i −0.738559 + 0.0683661i
\(451\) 5.73891 4.70980i 0.270235 0.221776i
\(452\) −19.9549 2.11313i −0.938601 0.0993933i
\(453\) 1.37292 + 4.98250i 0.0645056 + 0.234098i
\(454\) −12.2287 + 33.7861i −0.573919 + 1.58566i
\(455\) 0.719776 + 3.61856i 0.0337436 + 0.169641i
\(456\) 0.0647531 + 5.20112i 0.00303234 + 0.243565i
\(457\) 14.7080 + 2.92560i 0.688011 + 0.136854i 0.526702 0.850050i \(-0.323428\pi\)
0.161309 + 0.986904i \(0.448428\pi\)
\(458\) 7.61729 1.87840i 0.355932 0.0877719i
\(459\) 4.09306 0.904902i 0.191048 0.0422372i
\(460\) 11.2372 54.4068i 0.523938 2.53673i
\(461\) −24.5718 + 7.45377i −1.14442 + 0.347157i −0.804882 0.593435i \(-0.797771\pi\)
−0.339540 + 0.940592i \(0.610271\pi\)
\(462\) −2.12418 0.598757i −0.0988260 0.0278567i
\(463\) 2.11651 + 5.10971i 0.0983627 + 0.237469i 0.965399 0.260776i \(-0.0839783\pi\)
−0.867037 + 0.498244i \(0.833978\pi\)
\(464\) 14.7888 7.62828i 0.686552 0.354134i
\(465\) 19.0589 3.28537i 0.883836 0.152355i
\(466\) −10.7698 30.4507i −0.498899 1.41060i
\(467\) −15.0368 8.03731i −0.695818 0.371922i 0.0852576 0.996359i \(-0.472829\pi\)
−0.781076 + 0.624436i \(0.785329\pi\)
\(468\) 13.0393 + 14.6652i 0.602740 + 0.677900i
\(469\) −0.550465 0.451755i −0.0254181 0.0208601i
\(470\) 40.0098 29.4467i 1.84551 1.35827i
\(471\) 6.30471 14.1809i 0.290506 0.653422i
\(472\) −28.6594 + 16.7524i −1.31915 + 0.771091i
\(473\) 17.2143 + 11.5022i 0.791515 + 0.528873i
\(474\) −0.397445 + 2.22744i −0.0182553 + 0.102310i
\(475\) 1.85618 + 3.47267i 0.0851673 + 0.159337i
\(476\) 0.394751 0.473883i 0.0180934 0.0217204i
\(477\) 15.1126 25.0880i 0.691956 1.14870i
\(478\) 1.91907 + 1.43421i 0.0877763 + 0.0655992i
\(479\) −6.10055 6.10055i −0.278741 0.278741i 0.553865 0.832606i \(-0.313152\pi\)
−0.832606 + 0.553865i \(0.813152\pi\)
\(480\) −8.25149 + 27.7117i −0.376627 + 1.26486i
\(481\) −14.0195 + 14.0195i −0.639236 + 0.639236i
\(482\) 25.9632 3.75412i 1.18259 0.170996i
\(483\) 2.79590 + 5.56981i 0.127218 + 0.253435i
\(484\) −10.3967 3.23719i −0.472578 0.147145i
\(485\) 31.1362 16.6427i 1.41382 0.755704i
\(486\) 6.07463 21.1920i 0.275551 0.961286i
\(487\) −17.2089 + 25.7549i −0.779808 + 1.16706i 0.202406 + 0.979302i \(0.435124\pi\)
−0.982214 + 0.187763i \(0.939876\pi\)
\(488\) −8.32219 0.500584i −0.376728 0.0226604i
\(489\) −14.3311 + 32.2344i −0.648076 + 1.45769i
\(490\) −4.30069 + 28.2787i −0.194286 + 1.27750i
\(491\) −1.27731 + 1.55640i −0.0576440 + 0.0702395i −0.801034 0.598618i \(-0.795717\pi\)
0.743390 + 0.668858i \(0.233217\pi\)
\(492\) 10.6256 + 2.48034i 0.479038 + 0.111822i
\(493\) −1.58203 + 2.95978i −0.0712512 + 0.133302i
\(494\) 2.11598 4.43178i 0.0952023 0.199395i
\(495\) −15.4922 + 13.9791i −0.696321 + 0.628315i
\(496\) 3.16990 14.7993i 0.142333 0.664509i
\(497\) −1.60045 + 0.662930i −0.0717902 + 0.0297365i
\(498\) 8.69751 + 15.5254i 0.389745 + 0.695709i
\(499\) 0.344410 + 1.13537i 0.0154179 + 0.0508261i 0.964312 0.264769i \(-0.0852958\pi\)
−0.948894 + 0.315595i \(0.897796\pi\)
\(500\) −1.43217 7.48626i −0.0640485 0.334796i
\(501\) 7.78322 + 9.99600i 0.347729 + 0.446588i
\(502\) 29.7904 + 18.0044i 1.32961 + 0.803575i
\(503\) 1.17666 5.91545i 0.0524645 0.263757i −0.945646 0.325197i \(-0.894569\pi\)
0.998111 + 0.0614402i \(0.0195693\pi\)
\(504\) −1.20161 3.01279i −0.0535237 0.134201i
\(505\) −45.7870 + 9.10760i −2.03749 + 0.405283i
\(506\) −13.3109 28.4124i −0.591742 1.26309i
\(507\) 1.05967 + 3.84565i 0.0470614 + 0.170791i
\(508\) −2.63783 + 4.84923i −0.117035 + 0.215150i
\(509\) −9.04475 11.0211i −0.400901 0.488500i 0.532957 0.846142i \(-0.321081\pi\)
−0.933859 + 0.357642i \(0.883581\pi\)
\(510\) −1.80281 5.54580i −0.0798297 0.245572i
\(511\) 1.45425i 0.0643323i
\(512\) 17.7203 + 14.0710i 0.783133 + 0.621854i
\(513\) −5.47777 + 0.657212i −0.241849 + 0.0290166i
\(514\) 5.42149 + 1.37914i 0.239132 + 0.0608312i
\(515\) −27.6228 + 22.6694i −1.21721 + 0.998935i
\(516\) 1.98250 + 30.3633i 0.0872749 + 1.33667i
\(517\) 8.14440 26.8485i 0.358190 1.18079i
\(518\) 2.96759 1.39028i 0.130388 0.0610855i
\(519\) 28.2776 + 29.7666i 1.24125 + 1.30661i
\(520\) 18.5542 20.0246i 0.813655 0.878138i
\(521\) −33.6360 6.69061i −1.47362 0.293121i −0.608045 0.793903i \(-0.708046\pi\)
−0.865574 + 0.500782i \(0.833046\pi\)
\(522\) 9.71931 + 14.7325i 0.425403 + 0.644823i
\(523\) −14.2368 + 1.40220i −0.622531 + 0.0613139i −0.404365 0.914598i \(-0.632507\pi\)
−0.218166 + 0.975912i \(0.570007\pi\)
\(524\) −40.7219 + 7.79034i −1.77894 + 0.340323i
\(525\) −1.85750 1.60587i −0.0810678 0.0700858i
\(526\) 0.863672 16.3574i 0.0376579 0.713218i
\(527\) 1.16813 + 2.82011i 0.0508845 + 0.122846i
\(528\) 5.63622 + 15.3263i 0.245285 + 0.666992i
\(529\) −25.1046 + 60.6078i −1.09150 + 2.63512i
\(530\) −36.7678 17.5550i −1.59709 0.762540i
\(531\) −20.9122 28.3272i −0.907510 1.22930i
\(532\) −0.578172 + 0.569761i −0.0250669 + 0.0247023i
\(533\) −7.96341 6.53540i −0.344934 0.283080i
\(534\) −6.42328 14.6792i −0.277963 0.635231i
\(535\) −6.06208 + 4.05055i −0.262087 + 0.175121i
\(536\) −0.316364 + 5.25953i −0.0136648 + 0.227177i
\(537\) 3.90060 + 0.100062i 0.168323 + 0.00431800i
\(538\) 38.5323 1.75149i 1.66125 0.0755121i
\(539\) 7.61524 + 14.2471i 0.328012 + 0.613667i
\(540\) −30.1590 5.56421i −1.29784 0.239446i
\(541\) 35.5269 + 3.49910i 1.52742 + 0.150438i 0.826556 0.562855i \(-0.190297\pi\)
0.700866 + 0.713293i \(0.252797\pi\)
\(542\) 4.94279 + 34.1840i 0.212311 + 1.46833i
\(543\) −6.80741 + 30.1590i −0.292134 + 1.29425i
\(544\) −4.55320 0.307376i −0.195217 0.0131786i
\(545\) −38.0510 + 38.0510i −1.62992 + 1.62992i
\(546\) −0.239842 + 3.05301i −0.0102643 + 0.130657i
\(547\) 6.76477 + 0.666271i 0.289241 + 0.0284877i 0.241597 0.970377i \(-0.422329\pi\)
0.0476436 + 0.998864i \(0.484829\pi\)
\(548\) 4.25803 + 3.54701i 0.181894 + 0.151521i
\(549\) −0.414406 8.83325i −0.0176864 0.376994i
\(550\) 9.12906 + 8.33522i 0.389264 + 0.355415i
\(551\) 2.45394 3.67259i 0.104542 0.156458i
\(552\) 21.2297 40.9357i 0.903595 1.74234i
\(553\) −0.293589 + 0.196170i −0.0124847 + 0.00834200i
\(554\) −13.7561 18.6907i −0.584442 0.794093i
\(555\) 3.82685 30.7479i 0.162441 1.30517i
\(556\) 19.9947 + 8.45424i 0.847964 + 0.358540i
\(557\) 3.25158 6.08328i 0.137774 0.257757i −0.803567 0.595215i \(-0.797067\pi\)
0.941341 + 0.337458i \(0.109567\pi\)
\(558\) 15.9663 + 1.66724i 0.675906 + 0.0705800i
\(559\) 10.9939 26.5417i 0.464993 1.12259i
\(560\) −4.01018 + 2.06851i −0.169461 + 0.0874105i
\(561\) −2.69057 1.89936i −0.113596 0.0801911i
\(562\) −19.0843 21.2120i −0.805024 0.894773i
\(563\) −8.10167 26.7076i −0.341445 1.12559i −0.944670 0.328021i \(-0.893618\pi\)
0.603226 0.797571i \(-0.293882\pi\)
\(564\) 38.5956 14.5154i 1.62517 0.611207i
\(565\) −29.4659 + 2.90213i −1.23964 + 0.122094i
\(566\) −5.55582 22.5300i −0.233529 0.947005i
\(567\) 3.04123 1.60835i 0.127720 0.0675444i
\(568\) 10.9211 + 6.71013i 0.458241 + 0.281551i
\(569\) −23.7851 + 4.73116i −0.997125 + 0.198340i −0.666567 0.745445i \(-0.732237\pi\)
−0.330558 + 0.943786i \(0.607237\pi\)
\(570\) 1.64587 + 7.49638i 0.0689379 + 0.313989i
\(571\) −8.21584 + 27.0840i −0.343822 + 1.13343i 0.599172 + 0.800620i \(0.295497\pi\)
−0.942994 + 0.332809i \(0.892003\pi\)
\(572\) 1.62359 15.3320i 0.0678856 0.641064i
\(573\) −0.729745 0.241969i −0.0304855 0.0101084i
\(574\) 0.870043 + 1.46371i 0.0363149 + 0.0610942i
\(575\) 34.9083i 1.45578i
\(576\) −12.8328 + 20.2810i −0.534698 + 0.845043i
\(577\) 19.7635i 0.822765i 0.911463 + 0.411382i \(0.134954\pi\)
−0.911463 + 0.411382i \(0.865046\pi\)
\(578\) −19.8752 + 11.8140i −0.826698 + 0.491396i
\(579\) 1.13987 + 0.377958i 0.0473713 + 0.0157074i
\(580\) 19.0933 15.4368i 0.792808 0.640977i
\(581\) −0.806156 + 2.65754i −0.0334450 + 0.110253i
\(582\) 28.6230 6.28433i 1.18646 0.260494i
\(583\) −22.5687 + 4.48919i −0.934699 + 0.185923i
\(584\) −8.71273 + 6.31457i −0.360535 + 0.261299i
\(585\) 23.2188 + 17.2998i 0.959981 + 0.715260i
\(586\) −14.6819 + 3.62050i −0.606502 + 0.149562i
\(587\) 0.623164 0.0613763i 0.0257207 0.00253327i −0.0851486 0.996368i \(-0.527136\pi\)
0.110869 + 0.993835i \(0.464636\pi\)
\(588\) −9.80411 + 21.6238i −0.404315 + 0.891749i
\(589\) −1.16620 3.84443i −0.0480523 0.158407i
\(590\) −36.4134 + 32.7610i −1.49912 + 1.34875i
\(591\) −13.4956 9.52696i −0.555134 0.391887i
\(592\) −21.2152 11.7426i −0.871938 0.482620i
\(593\) 14.5844 35.2099i 0.598910 1.44590i −0.275783 0.961220i \(-0.588937\pi\)
0.874693 0.484677i \(-0.161063\pi\)
\(594\) −15.5249 + 7.67935i −0.636996 + 0.315088i
\(595\) 0.428990 0.802583i 0.0175869 0.0329027i
\(596\) −12.7945 31.5403i −0.524082 1.29194i
\(597\) 0.0191393 0.153780i 0.000783320 0.00629380i
\(598\) −35.0646 + 25.8071i −1.43390 + 1.05533i
\(599\) −3.06471 + 2.04777i −0.125221 + 0.0836698i −0.616603 0.787274i \(-0.711492\pi\)
0.491383 + 0.870944i \(0.336492\pi\)
\(600\) −1.55558 + 18.1016i −0.0635063 + 0.738993i
\(601\) −5.06488 + 7.58012i −0.206601 + 0.309200i −0.920271 0.391282i \(-0.872032\pi\)
0.713670 + 0.700482i \(0.247032\pi\)
\(602\) −3.20176 + 3.50669i −0.130494 + 0.142922i
\(603\) −5.58252 + 0.261901i −0.227338 + 0.0106654i
\(604\) 5.94311 0.541407i 0.241822 0.0220295i
\(605\) −15.9896 1.57484i −0.650069 0.0640262i
\(606\) −38.6308 3.03481i −1.56927 0.123281i
\(607\) 15.1075 15.1075i 0.613194 0.613194i −0.330583 0.943777i \(-0.607245\pi\)
0.943777 + 0.330583i \(0.107245\pi\)
\(608\) 5.92406 + 0.989971i 0.240252 + 0.0401486i
\(609\) −0.606447 + 2.68676i −0.0245745 + 0.108873i
\(610\) −12.1751 + 1.76044i −0.492955 + 0.0712782i
\(611\) −38.7443 3.81598i −1.56743 0.154378i
\(612\) −0.191401 4.83660i −0.00773692 0.195508i
\(613\) 2.11592 + 3.95861i 0.0854611 + 0.159887i 0.921021 0.389513i \(-0.127357\pi\)
−0.835560 + 0.549399i \(0.814857\pi\)
\(614\) 0.0939827 + 2.06760i 0.00379283 + 0.0834414i
\(615\) 16.0944 + 0.412870i 0.648989 + 0.0166485i
\(616\) −1.11482 + 2.29159i −0.0449176 + 0.0923308i
\(617\) 5.29140 3.53560i 0.213024 0.142338i −0.444481 0.895788i \(-0.646612\pi\)
0.657505 + 0.753450i \(0.271612\pi\)
\(618\) −27.1733 + 11.8904i −1.09307 + 0.478302i
\(619\) 9.31388 + 7.64370i 0.374356 + 0.307226i 0.802692 0.596393i \(-0.203400\pi\)
−0.428336 + 0.903619i \(0.640900\pi\)
\(620\) 0.163629 22.3313i 0.00657151 0.896847i
\(621\) 45.5746 + 17.7536i 1.82885 + 0.712429i
\(622\) −7.54028 + 15.7926i −0.302338 + 0.633227i
\(623\) 0.956900 2.31016i 0.0383374 0.0925546i
\(624\) 19.3326 11.8196i 0.773925 0.473164i
\(625\) −11.3999 27.5217i −0.455995 1.10087i
\(626\) 10.3707 + 0.547572i 0.414496 + 0.0218854i
\(627\) 3.27905 + 2.83485i 0.130953 + 0.113213i
\(628\) −14.8267 10.0648i −0.591649 0.401629i
\(629\) 4.86688 0.479346i 0.194055 0.0191128i
\(630\) −2.63552 3.99491i −0.105002 0.159161i
\(631\) −0.922941 0.183584i −0.0367417 0.00730838i 0.176685 0.984267i \(-0.443463\pi\)
−0.213427 + 0.976959i \(0.568463\pi\)
\(632\) 2.45010 + 0.907157i 0.0974598 + 0.0360848i
\(633\) 22.7588 + 23.9573i 0.904583 + 0.952216i
\(634\) −7.91817 16.9015i −0.314471 0.671244i
\(635\) −2.36443 + 7.79448i −0.0938296 + 0.309315i
\(636\) −25.4210 22.3048i −1.00801 0.884444i
\(637\) 17.3281 14.2208i 0.686566 0.563450i
\(638\) 3.41862 13.4388i 0.135344 0.532047i
\(639\) −5.83989 + 12.2772i −0.231022 + 0.485679i
\(640\) 29.8056 + 15.0441i 1.17817 + 0.594669i
\(641\) 30.7807i 1.21576i 0.794027 + 0.607882i \(0.207981\pi\)
−0.794027 + 0.607882i \(0.792019\pi\)
\(642\) −5.75524 + 1.87089i −0.227141 + 0.0738382i
\(643\) −27.5308 33.5464i −1.08571 1.32294i −0.942857 0.333197i \(-0.891873\pi\)
−0.142852 0.989744i \(-0.545627\pi\)
\(644\) 6.90153 2.03846i 0.271958 0.0803264i
\(645\) 11.9268 + 43.2838i 0.469618 + 1.70430i
\(646\) −1.09694 + 0.513903i −0.0431584 + 0.0202192i
\(647\) −9.26707 + 1.84334i −0.364326 + 0.0724690i −0.373859 0.927486i \(-0.621966\pi\)
0.00953276 + 0.999955i \(0.496966\pi\)
\(648\) −22.8414 11.2370i −0.897296 0.441430i
\(649\) −5.39688 + 27.1319i −0.211846 + 1.06502i
\(650\) 8.87252 14.6807i 0.348009 0.575823i
\(651\) 1.53909 + 1.97666i 0.0603217 + 0.0774713i
\(652\) 33.7023 + 22.8781i 1.31988 + 0.895976i
\(653\) −9.47826 31.2456i −0.370913 1.22274i −0.921638 0.388050i \(-0.873149\pi\)
0.550726 0.834686i \(-0.314351\pi\)
\(654\) −38.9683 + 21.8305i −1.52378 + 0.853642i
\(655\) −56.5187 + 23.4108i −2.20837 + 0.914736i
\(656\) 4.99157 11.5683i 0.194888 0.451664i
\(657\) −7.64588 8.47344i −0.298294 0.330580i
\(658\) 5.80703 + 2.77260i 0.226382 + 0.108087i
\(659\) 21.0584 39.3975i 0.820319 1.53471i −0.0245264 0.999699i \(-0.507808\pi\)
0.844846 0.535010i \(-0.179692\pi\)
\(660\) 12.7186 + 20.4646i 0.495072 + 0.796584i
\(661\) 2.07981 2.53426i 0.0808954 0.0985713i −0.730990 0.682388i \(-0.760941\pi\)
0.811885 + 0.583817i \(0.198441\pi\)
\(662\) −33.7854 5.13816i −1.31311 0.199700i
\(663\) −1.85658 + 4.17593i −0.0721035 + 0.162180i
\(664\) 19.4223 6.70956i 0.753733 0.260381i
\(665\) −0.665420 + 0.995871i −0.0258039 + 0.0386182i
\(666\) 9.98158 23.7031i 0.386779 0.918477i
\(667\) −34.5343 + 18.4590i −1.33717 + 0.714734i
\(668\) 12.9515 6.80119i 0.501109 0.263146i
\(669\) −10.2455 20.4104i −0.396115 0.789113i
\(670\) 1.11258 + 7.69453i 0.0429828 + 0.297266i
\(671\) −4.91273 + 4.91273i −0.189654 + 0.189654i
\(672\) −3.66960 + 0.749489i −0.141558 + 0.0289121i
\(673\) 19.6878 + 19.6878i 0.758911 + 0.758911i 0.976124 0.217213i \(-0.0696968\pi\)
−0.217213 + 0.976124i \(0.569697\pi\)
\(674\) −26.8037 + 35.8652i −1.03244 + 1.38148i
\(675\) −19.2660 + 0.409130i −0.741550 + 0.0157474i
\(676\) 4.58707 0.417874i 0.176426 0.0160721i
\(677\) 13.5717 + 25.3908i 0.521602 + 0.975850i 0.995454 + 0.0952447i \(0.0303634\pi\)
−0.473851 + 0.880605i \(0.657137\pi\)
\(678\) −24.1942 4.31701i −0.929173 0.165794i
\(679\) 3.80248 + 2.54073i 0.145926 + 0.0975044i
\(680\) −6.67118 + 0.914760i −0.255828 + 0.0350794i
\(681\) −17.8776 + 40.2113i −0.685070 + 1.54090i
\(682\) −7.47604 10.1578i −0.286272 0.388964i
\(683\) 12.2008 + 10.0130i 0.466852 + 0.383136i 0.838204 0.545356i \(-0.183606\pi\)
−0.371352 + 0.928492i \(0.621106\pi\)
\(684\) −0.373240 + 6.35960i −0.0142712 + 0.243165i
\(685\) 7.21155 + 3.85465i 0.275539 + 0.147279i
\(686\) −7.06075 + 2.49724i −0.269581 + 0.0953449i
\(687\) 9.46905 1.63227i 0.361267 0.0622751i
\(688\) 34.9118 + 3.95587i 1.33100 + 0.150816i
\(689\) 12.2192 + 29.4997i 0.465513 + 1.12385i
\(690\) 18.4598 65.4889i 0.702752 2.49312i
\(691\) 33.9725 10.3054i 1.29238 0.392038i 0.432081 0.901835i \(-0.357780\pi\)
0.860295 + 0.509797i \(0.170280\pi\)
\(692\) 39.6106 26.0492i 1.50577 0.990241i
\(693\) −2.54294 0.916216i −0.0965983 0.0348042i
\(694\) −2.83428 11.4936i −0.107588 0.436290i
\(695\) 31.4159 + 6.24900i 1.19167 + 0.237038i
\(696\) 18.7302 8.03292i 0.709967 0.304487i
\(697\) 0.495733 + 2.49222i 0.0187772 + 0.0943995i
\(698\) 9.33400 + 3.37838i 0.353297 + 0.127874i
\(699\) −10.5086 38.1369i −0.397471 1.44247i
\(700\) −2.20482 + 1.78258i −0.0833344 + 0.0673750i
\(701\) 16.7608 13.7552i 0.633046 0.519528i −0.262249 0.965000i \(-0.584464\pi\)
0.895296 + 0.445472i \(0.146964\pi\)
\(702\) 14.6540 + 19.0498i 0.553080 + 0.718990i
\(703\) −6.43641 −0.242754
\(704\) 18.5701 3.27125i 0.699888 0.123290i
\(705\) 51.4391 32.4939i 1.93731 1.22379i
\(706\) 18.3183 10.8885i 0.689418 0.409796i
\(707\) −3.83628 4.67453i −0.144278 0.175804i
\(708\) −36.4688 + 17.9731i −1.37058 + 0.675470i
\(709\) 48.0325 + 14.5705i 1.80390 + 0.547207i 0.998936 0.0461192i \(-0.0146854\pi\)
0.804962 + 0.593326i \(0.202185\pi\)
\(710\) 17.7839 + 6.43677i 0.667418 + 0.241568i
\(711\) −0.679262 + 2.68659i −0.0254743 + 0.100755i
\(712\) −17.9956 + 4.29805i −0.674415 + 0.161076i
\(713\) −6.94829 + 34.9314i −0.260216 + 1.30819i
\(714\) 0.523463 0.544588i 0.0195901 0.0203807i
\(715\) −2.22981 22.6396i −0.0833900 0.846673i
\(716\) 0.911335 4.41238i 0.0340582 0.164898i
\(717\) 2.21971 + 1.91901i 0.0828964 + 0.0716667i
\(718\) 24.1800 21.7547i 0.902391 0.811877i
\(719\) 13.3993 5.55018i 0.499710 0.206987i −0.118568 0.992946i \(-0.537830\pi\)
0.618278 + 0.785959i \(0.287830\pi\)
\(720\) −12.4906 + 33.1364i −0.465496 + 1.23492i
\(721\) −4.27643 1.77136i −0.159263 0.0659687i
\(722\) −23.8293 + 8.42791i −0.886834 + 0.313654i
\(723\) 32.0446 2.32819i 1.19175 0.0865864i
\(724\) 32.8822 + 13.9034i 1.22206 + 0.516716i
\(725\) 9.78740 11.9260i 0.363495 0.442920i
\(726\) −12.4196 4.85893i −0.460936 0.180332i
\(727\) 15.5238 + 23.2331i 0.575747 + 0.861666i 0.999017 0.0443374i \(-0.0141177\pi\)
−0.423270 + 0.906004i \(0.639118\pi\)
\(728\) 3.42054 + 0.896867i 0.126774 + 0.0332401i
\(729\) 9.26417 25.3609i 0.343117 0.939293i
\(730\) −10.7054 + 11.7250i −0.396226 + 0.433962i
\(731\) −6.24944 + 3.34039i −0.231144 + 0.123549i
\(732\) −10.1233 1.33533i −0.374167 0.0493551i
\(733\) −4.63361 + 47.0458i −0.171146 + 1.73768i 0.399723 + 0.916636i \(0.369106\pi\)
−0.570870 + 0.821041i \(0.693394\pi\)
\(734\) 15.3234 20.5038i 0.565596 0.756808i
\(735\) −7.71338 + 34.1728i −0.284512 + 1.26048i
\(736\) −42.1802 32.4973i −1.55478 1.19787i
\(737\) 3.10479 + 3.10479i 0.114366 + 0.114366i
\(738\) 12.7651 + 3.95423i 0.469888 + 0.145557i
\(739\) 0.620510 6.30014i 0.0228258 0.231754i −0.977003 0.213228i \(-0.931602\pi\)
0.999828 0.0185268i \(-0.00589759\pi\)
\(740\) −34.1609 10.6365i −1.25578 0.391007i
\(741\) 2.97042 5.23006i 0.109121 0.192131i
\(742\) −0.239650 5.27225i −0.00879784 0.193550i
\(743\) 27.4882 + 18.3670i 1.00844 + 0.673820i 0.945979 0.324227i \(-0.105104\pi\)
0.0624635 + 0.998047i \(0.480104\pi\)
\(744\) 5.15962 17.8039i 0.189161 0.652724i
\(745\) −27.9015 41.7576i −1.02223 1.52988i
\(746\) −22.2535 3.38437i −0.814760 0.123911i
\(747\) 9.27509 + 19.7230i 0.339358 + 0.721629i
\(748\) −2.70872 + 2.66931i −0.0990405 + 0.0975996i
\(749\) −0.832893 0.445191i −0.0304333 0.0162669i
\(750\) −1.09853 9.27016i −0.0401125 0.338499i
\(751\) −40.9179 16.9488i −1.49312 0.618469i −0.521124 0.853481i \(-0.674487\pi\)
−0.971992 + 0.235012i \(0.924487\pi\)
\(752\) −8.60370 46.8302i −0.313745 1.70772i
\(753\) 34.8277 + 24.5860i 1.26919 + 0.895964i
\(754\) −19.2150 1.01455i −0.699771 0.0369479i
\(755\) 8.42630 2.55609i 0.306664 0.0930256i
\(756\) −1.20592 3.78509i −0.0438589 0.137663i
\(757\) 2.22745 + 22.6157i 0.0809582 + 0.821982i 0.946834 + 0.321723i \(0.104262\pi\)
−0.865876 + 0.500259i \(0.833238\pi\)
\(758\) 26.2904 43.5006i 0.954909 1.58001i
\(759\) −13.7903 35.8678i −0.500555 1.30192i
\(760\) 8.85582 0.337540i 0.321234 0.0122438i
\(761\) 3.99448 + 20.0816i 0.144800 + 0.727957i 0.983146 + 0.182820i \(0.0585225\pi\)
−0.838347 + 0.545137i \(0.816478\pi\)
\(762\) −3.64425 + 5.69466i −0.132017 + 0.206296i
\(763\) −6.67036 2.02343i −0.241483 0.0732532i
\(764\) −0.424209 + 0.779840i −0.0153473 + 0.0282136i
\(765\) −1.72008 6.93184i −0.0621897 0.250621i
\(766\) −1.30955 + 5.14791i −0.0473158 + 0.186002i
\(767\) 38.3863 1.38605
\(768\) 20.4243 + 18.7310i 0.736997 + 0.675896i
\(769\) 25.1594 0.907270 0.453635 0.891188i \(-0.350127\pi\)
0.453635 + 0.891188i \(0.350127\pi\)
\(770\) −0.927003 + 3.64411i −0.0334069 + 0.131325i
\(771\) 6.50323 + 2.15634i 0.234208 + 0.0776587i
\(772\) 0.662618 1.21812i 0.0238481 0.0438410i
\(773\) −17.2508