Properties

Label 462.2.bc.b.95.12
Level $462$
Weight $2$
Character 462.95
Analytic conductor $3.689$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.bc (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 95.12
Character \(\chi\) \(=\) 462.95
Dual form 462.2.bc.b.107.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.104528 + 0.994522i) q^{2} +(0.882151 + 1.49057i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(1.35789 - 3.04988i) q^{5} +(-1.57462 + 0.721511i) q^{6} +(1.07443 - 2.41777i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-1.44362 + 2.62982i) q^{9} +O(q^{10})\) \(q+(-0.104528 + 0.994522i) q^{2} +(0.882151 + 1.49057i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(1.35789 - 3.04988i) q^{5} +(-1.57462 + 0.721511i) q^{6} +(1.07443 - 2.41777i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-1.44362 + 2.62982i) q^{9} +(2.89123 + 1.66925i) q^{10} +(0.617451 - 3.25864i) q^{11} +(-0.552966 - 1.64141i) q^{12} +(1.75434 - 2.41465i) q^{13} +(2.29221 + 1.32127i) q^{14} +(5.74393 - 0.666413i) q^{15} +(0.913545 + 0.406737i) q^{16} +(-0.284826 - 2.70994i) q^{17} +(-2.46452 - 1.71060i) q^{18} +(1.31058 + 6.16579i) q^{19} +(-1.96232 + 2.70091i) q^{20} +(4.55167 - 0.531316i) q^{21} +(3.17625 + 0.954689i) q^{22} +(-0.928949 + 0.536329i) q^{23} +(1.69022 - 0.378363i) q^{24} +(-4.11222 - 4.56708i) q^{25} +(2.21804 + 1.99713i) q^{26} +(-5.19343 + 0.168079i) q^{27} +(-1.55363 + 2.14155i) q^{28} +(-0.535164 - 1.64707i) q^{29} +(0.0623578 + 5.78212i) q^{30} +(4.61371 - 2.05416i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(5.40193 - 1.95426i) q^{33} +2.72486 q^{34} +(-5.91492 - 6.55995i) q^{35} +(1.95884 - 2.27221i) q^{36} +(-6.72672 + 7.47078i) q^{37} +(-6.26901 + 0.658899i) q^{38} +(5.14681 + 0.484895i) q^{39} +(-2.48099 - 2.23390i) q^{40} +(-3.40181 + 10.4697i) q^{41} +(0.0526261 + 4.58227i) q^{42} +0.998721i q^{43} +(-1.28147 + 3.05906i) q^{44} +(6.06035 + 7.97387i) q^{45} +(-0.436290 - 0.979922i) q^{46} +(1.94346 + 9.14326i) q^{47} +(0.199614 + 1.72051i) q^{48} +(-4.69119 - 5.19545i) q^{49} +(4.97190 - 3.61230i) q^{50} +(3.78810 - 2.81513i) q^{51} +(-2.21804 + 1.99713i) q^{52} +(2.79637 + 6.28076i) q^{53} +(0.375703 - 5.18255i) q^{54} +(-9.10002 - 6.30803i) q^{55} +(-1.96742 - 1.76898i) q^{56} +(-8.03444 + 7.39267i) q^{57} +(1.69398 - 0.360067i) q^{58} +(-1.23972 + 5.83242i) q^{59} +(-5.75697 - 0.542380i) q^{60} +(4.16142 - 9.34670i) q^{61} +(1.56064 + 4.80315i) q^{62} +(4.80723 + 6.31590i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-4.98217 - 8.62936i) q^{65} +(1.37890 + 5.57662i) q^{66} +(1.86083 - 3.22305i) q^{67} +(-0.284826 + 2.70994i) q^{68} +(-1.61891 - 0.911544i) q^{69} +(7.14229 - 5.19682i) q^{70} +(-0.722902 - 0.994990i) q^{71} +(2.05501 + 2.18562i) q^{72} +(1.24396 - 5.85236i) q^{73} +(-6.72672 - 7.47078i) q^{74} +(3.17997 - 10.1584i) q^{75} -6.30354i q^{76} +(-7.21523 - 4.99404i) q^{77} +(-1.02023 + 5.06793i) q^{78} +(17.1227 + 1.79967i) q^{79} +(2.48099 - 2.23390i) q^{80} +(-4.83193 - 7.59292i) q^{81} +(-10.0568 - 4.47755i) q^{82} +(9.70645 - 7.05215i) q^{83} +(-4.56267 - 0.426640i) q^{84} +(-8.65173 - 2.81112i) q^{85} +(-0.993250 - 0.104395i) q^{86} +(1.98298 - 2.25066i) q^{87} +(-2.90835 - 1.59421i) q^{88} +(-11.7595 + 6.78938i) q^{89} +(-8.56367 + 5.19365i) q^{90} +(-3.95313 - 6.83597i) q^{91} +(1.02016 - 0.331470i) q^{92} +(7.13186 + 5.06500i) q^{93} +(-9.29632 + 0.977083i) q^{94} +(20.5845 + 4.37538i) q^{95} +(-1.73195 + 0.0186784i) q^{96} +(-2.77243 - 2.01429i) q^{97} +(5.65735 - 4.12242i) q^{98} +(7.67829 + 6.32803i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} + O(q^{10}) \) \( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} - 6 q^{11} - 12 q^{15} + 16 q^{16} - 2 q^{17} - 4 q^{18} + 2 q^{22} - 12 q^{25} - 18 q^{27} - 5 q^{28} + 38 q^{29} + 6 q^{30} - 3 q^{31} - 64 q^{32} + 28 q^{33} - 16 q^{34} - 31 q^{35} + 8 q^{36} + 2 q^{37} - 2 q^{39} + 5 q^{40} + 16 q^{41} - 13 q^{42} - q^{44} + 28 q^{45} + 38 q^{49} + 34 q^{50} + 4 q^{51} + 25 q^{53} - 6 q^{54} - 42 q^{55} - 100 q^{57} - 19 q^{58} + 40 q^{59} - 4 q^{60} + 40 q^{61} - 4 q^{62} - 106 q^{63} - 32 q^{64} + 20 q^{65} - 7 q^{66} + 16 q^{67} - 2 q^{68} - 68 q^{69} - 21 q^{70} + 80 q^{71} - 4 q^{72} + 10 q^{73} + 2 q^{74} - 14 q^{75} + q^{77} - 16 q^{78} - 5 q^{80} + 32 q^{81} - 8 q^{82} - 92 q^{83} + 8 q^{84} - 100 q^{85} - 40 q^{86} - 38 q^{87} - q^{88} + 4 q^{90} + 12 q^{91} - 20 q^{92} - 33 q^{93} + 40 q^{94} + 38 q^{95} - 16 q^{97} + 18 q^{98} + 2 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{7}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.104528 + 0.994522i −0.0739128 + 0.703233i
\(3\) 0.882151 + 1.49057i 0.509310 + 0.860583i
\(4\) −0.978148 0.207912i −0.489074 0.103956i
\(5\) 1.35789 3.04988i 0.607268 1.36395i −0.304213 0.952604i \(-0.598394\pi\)
0.911481 0.411342i \(-0.134940\pi\)
\(6\) −1.57462 + 0.721511i −0.642835 + 0.294556i
\(7\) 1.07443 2.41777i 0.406097 0.913830i
\(8\) 0.309017 0.951057i 0.109254 0.336249i
\(9\) −1.44362 + 2.62982i −0.481206 + 0.876607i
\(10\) 2.89123 + 1.66925i 0.914287 + 0.527864i
\(11\) 0.617451 3.25864i 0.186168 0.982518i
\(12\) −0.552966 1.64141i −0.159628 0.473834i
\(13\) 1.75434 2.41465i 0.486568 0.669703i −0.493183 0.869926i \(-0.664167\pi\)
0.979750 + 0.200223i \(0.0641666\pi\)
\(14\) 2.29221 + 1.32127i 0.612620 + 0.353125i
\(15\) 5.74393 0.666413i 1.48308 0.172067i
\(16\) 0.913545 + 0.406737i 0.228386 + 0.101684i
\(17\) −0.284826 2.70994i −0.0690804 0.657256i −0.973197 0.229971i \(-0.926137\pi\)
0.904117 0.427285i \(-0.140530\pi\)
\(18\) −2.46452 1.71060i −0.580892 0.403193i
\(19\) 1.31058 + 6.16579i 0.300668 + 1.41453i 0.826018 + 0.563644i \(0.190601\pi\)
−0.525350 + 0.850886i \(0.676066\pi\)
\(20\) −1.96232 + 2.70091i −0.438789 + 0.603941i
\(21\) 4.55167 0.531316i 0.993256 0.115943i
\(22\) 3.17625 + 0.954689i 0.677179 + 0.203540i
\(23\) −0.928949 + 0.536329i −0.193699 + 0.111832i −0.593713 0.804677i \(-0.702339\pi\)
0.400014 + 0.916509i \(0.369005\pi\)
\(24\) 1.69022 0.378363i 0.345015 0.0772330i
\(25\) −4.11222 4.56708i −0.822443 0.913416i
\(26\) 2.21804 + 1.99713i 0.434994 + 0.391670i
\(27\) −5.19343 + 0.168079i −0.999477 + 0.0323469i
\(28\) −1.55363 + 2.14155i −0.293609 + 0.404714i
\(29\) −0.535164 1.64707i −0.0993775 0.305852i 0.888992 0.457922i \(-0.151406\pi\)
−0.988370 + 0.152070i \(0.951406\pi\)
\(30\) 0.0623578 + 5.78212i 0.0113849 + 1.05567i
\(31\) 4.61371 2.05416i 0.828647 0.368937i 0.0518236 0.998656i \(-0.483497\pi\)
0.776823 + 0.629719i \(0.216830\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) 5.40193 1.95426i 0.940356 0.340193i
\(34\) 2.72486 0.467310
\(35\) −5.91492 6.55995i −0.999805 1.10883i
\(36\) 1.95884 2.27221i 0.326474 0.378701i
\(37\) −6.72672 + 7.47078i −1.10587 + 1.22819i −0.134422 + 0.990924i \(0.542918\pi\)
−0.971445 + 0.237265i \(0.923749\pi\)
\(38\) −6.26901 + 0.658899i −1.01697 + 0.106888i
\(39\) 5.14681 + 0.484895i 0.824149 + 0.0776454i
\(40\) −2.48099 2.23390i −0.392279 0.353210i
\(41\) −3.40181 + 10.4697i −0.531273 + 1.63509i 0.220293 + 0.975434i \(0.429299\pi\)
−0.751567 + 0.659657i \(0.770701\pi\)
\(42\) 0.0526261 + 4.58227i 0.00812038 + 0.707060i
\(43\) 0.998721i 0.152304i 0.997096 + 0.0761518i \(0.0242633\pi\)
−0.997096 + 0.0761518i \(0.975737\pi\)
\(44\) −1.28147 + 3.05906i −0.193189 + 0.461170i
\(45\) 6.06035 + 7.97387i 0.903424 + 1.18867i
\(46\) −0.436290 0.979922i −0.0643274 0.144482i
\(47\) 1.94346 + 9.14326i 0.283483 + 1.33368i 0.857350 + 0.514734i \(0.172109\pi\)
−0.573867 + 0.818948i \(0.694558\pi\)
\(48\) 0.199614 + 1.72051i 0.0288118 + 0.248334i
\(49\) −4.69119 5.19545i −0.670170 0.742207i
\(50\) 4.97190 3.61230i 0.703133 0.510856i
\(51\) 3.78810 2.81513i 0.530440 0.394196i
\(52\) −2.21804 + 1.99713i −0.307587 + 0.276953i
\(53\) 2.79637 + 6.28076i 0.384112 + 0.862729i 0.997345 + 0.0728266i \(0.0232020\pi\)
−0.613233 + 0.789902i \(0.710131\pi\)
\(54\) 0.375703 5.18255i 0.0511267 0.705256i
\(55\) −9.10002 6.30803i −1.22705 0.850575i
\(56\) −1.96742 1.76898i −0.262907 0.236389i
\(57\) −8.03444 + 7.39267i −1.06419 + 0.979184i
\(58\) 1.69398 0.360067i 0.222431 0.0472791i
\(59\) −1.23972 + 5.83242i −0.161398 + 0.759316i 0.820763 + 0.571270i \(0.193549\pi\)
−0.982160 + 0.188046i \(0.939784\pi\)
\(60\) −5.75697 0.542380i −0.743221 0.0700210i
\(61\) 4.16142 9.34670i 0.532815 1.19672i −0.423904 0.905707i \(-0.639341\pi\)
0.956719 0.291015i \(-0.0939928\pi\)
\(62\) 1.56064 + 4.80315i 0.198201 + 0.610001i
\(63\) 4.80723 + 6.31590i 0.605654 + 0.795728i
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) −4.98217 8.62936i −0.617962 1.07034i
\(66\) 1.37890 + 5.57662i 0.169731 + 0.686434i
\(67\) 1.86083 3.22305i 0.227336 0.393758i −0.729681 0.683787i \(-0.760332\pi\)
0.957018 + 0.290029i \(0.0936650\pi\)
\(68\) −0.284826 + 2.70994i −0.0345402 + 0.328628i
\(69\) −1.61891 0.911544i −0.194894 0.109737i
\(70\) 7.14229 5.19682i 0.853667 0.621139i
\(71\) −0.722902 0.994990i −0.0857927 0.118084i 0.763963 0.645260i \(-0.223251\pi\)
−0.849756 + 0.527176i \(0.823251\pi\)
\(72\) 2.05501 + 2.18562i 0.242185 + 0.257578i
\(73\) 1.24396 5.85236i 0.145594 0.684967i −0.843433 0.537234i \(-0.819469\pi\)
0.989027 0.147733i \(-0.0471975\pi\)
\(74\) −6.72672 7.47078i −0.781966 0.868461i
\(75\) 3.17997 10.1584i 0.367191 1.17299i
\(76\) 6.30354i 0.723066i
\(77\) −7.21523 4.99404i −0.822252 0.569124i
\(78\) −1.02023 + 5.06793i −0.115518 + 0.573830i
\(79\) 17.1227 + 1.79967i 1.92645 + 0.202478i 0.989242 0.146290i \(-0.0467332\pi\)
0.937209 + 0.348768i \(0.113400\pi\)
\(80\) 2.48099 2.23390i 0.277383 0.249757i
\(81\) −4.83193 7.59292i −0.536881 0.843658i
\(82\) −10.0568 4.47755i −1.11058 0.494463i
\(83\) 9.70645 7.05215i 1.06542 0.774073i 0.0903372 0.995911i \(-0.471206\pi\)
0.975084 + 0.221838i \(0.0712055\pi\)
\(84\) −4.56267 0.426640i −0.497828 0.0465503i
\(85\) −8.65173 2.81112i −0.938412 0.304908i
\(86\) −0.993250 0.104395i −0.107105 0.0112572i
\(87\) 1.98298 2.25066i 0.212597 0.241296i
\(88\) −2.90835 1.59421i −0.310031 0.169943i
\(89\) −11.7595 + 6.78938i −1.24651 + 0.719673i −0.970412 0.241457i \(-0.922375\pi\)
−0.276098 + 0.961129i \(0.589041\pi\)
\(90\) −8.56367 + 5.19365i −0.902690 + 0.547459i
\(91\) −3.95313 6.83597i −0.414401 0.716604i
\(92\) 1.02016 0.331470i 0.106359 0.0345581i
\(93\) 7.13186 + 5.06500i 0.739539 + 0.525216i
\(94\) −9.29632 + 0.977083i −0.958842 + 0.100778i
\(95\) 20.5845 + 4.37538i 2.11193 + 0.448904i
\(96\) −1.73195 + 0.0186784i −0.176766 + 0.00190635i
\(97\) −2.77243 2.01429i −0.281498 0.204520i 0.438073 0.898940i \(-0.355661\pi\)
−0.719571 + 0.694419i \(0.755661\pi\)
\(98\) 5.65735 4.12242i 0.571479 0.416427i
\(99\) 7.67829 + 6.32803i 0.771697 + 0.635990i
\(100\) 3.07280 + 5.32225i 0.307280 + 0.532225i
\(101\) −8.16186 + 3.63389i −0.812136 + 0.361586i −0.770415 0.637543i \(-0.779951\pi\)
−0.0417210 + 0.999129i \(0.513284\pi\)
\(102\) 2.40374 + 4.06161i 0.238006 + 0.402159i
\(103\) −6.97292 + 7.74421i −0.687062 + 0.763060i −0.981261 0.192684i \(-0.938281\pi\)
0.294199 + 0.955744i \(0.404947\pi\)
\(104\) −1.75434 2.41465i −0.172028 0.236776i
\(105\) 4.56023 14.6035i 0.445033 1.42516i
\(106\) −6.53865 + 2.12454i −0.635090 + 0.206353i
\(107\) 14.9358 3.17471i 1.44390 0.306911i 0.581670 0.813425i \(-0.302399\pi\)
0.862232 + 0.506514i \(0.169066\pi\)
\(108\) 5.11489 + 0.915369i 0.492181 + 0.0880814i
\(109\) 8.40092 + 4.85027i 0.804662 + 0.464572i 0.845099 0.534610i \(-0.179542\pi\)
−0.0404368 + 0.999182i \(0.512875\pi\)
\(110\) 7.22469 8.39080i 0.688847 0.800032i
\(111\) −17.0697 3.43632i −1.62019 0.326161i
\(112\) 1.96494 1.77173i 0.185669 0.167413i
\(113\) −9.74475 3.16626i −0.916709 0.297857i −0.187593 0.982247i \(-0.560069\pi\)
−0.729116 + 0.684390i \(0.760069\pi\)
\(114\) −6.51235 8.76317i −0.609937 0.820746i
\(115\) 0.374324 + 3.56146i 0.0349059 + 0.332108i
\(116\) 0.181025 + 1.72234i 0.0168078 + 0.159915i
\(117\) 3.81749 + 8.09945i 0.352927 + 0.748794i
\(118\) −5.67088 1.84258i −0.522047 0.169623i
\(119\) −6.85802 2.22300i −0.628673 0.203782i
\(120\) 1.14118 5.66873i 0.104175 0.517482i
\(121\) −10.2375 4.02410i −0.930683 0.365828i
\(122\) 8.86051 + 5.11562i 0.802193 + 0.463146i
\(123\) −18.6068 + 4.16520i −1.67771 + 0.375564i
\(124\) −4.93997 + 1.05002i −0.443622 + 0.0942949i
\(125\) −3.63743 + 1.18187i −0.325342 + 0.105710i
\(126\) −6.78379 + 4.12070i −0.604348 + 0.367101i
\(127\) −8.86744 12.2050i −0.786858 1.08302i −0.994492 0.104811i \(-0.966576\pi\)
0.207634 0.978207i \(-0.433424\pi\)
\(128\) 0.669131 0.743145i 0.0591433 0.0656853i
\(129\) −1.48867 + 0.881023i −0.131070 + 0.0775697i
\(130\) 9.10287 4.05286i 0.798374 0.355459i
\(131\) −1.43436 2.48439i −0.125321 0.217062i 0.796537 0.604589i \(-0.206663\pi\)
−0.921858 + 0.387527i \(0.873329\pi\)
\(132\) −5.69020 + 0.788429i −0.495268 + 0.0686240i
\(133\) 16.3156 + 3.45605i 1.41474 + 0.299677i
\(134\) 3.01088 + 2.18753i 0.260101 + 0.188974i
\(135\) −6.53950 + 16.0676i −0.562831 + 1.38288i
\(136\) −2.66532 0.566531i −0.228549 0.0485796i
\(137\) 4.71796 0.495878i 0.403083 0.0423657i 0.0991818 0.995069i \(-0.468377\pi\)
0.303901 + 0.952704i \(0.401711\pi\)
\(138\) 1.07577 1.51476i 0.0915759 0.128945i
\(139\) −10.7864 + 3.50472i −0.914891 + 0.297266i −0.728369 0.685185i \(-0.759721\pi\)
−0.186522 + 0.982451i \(0.559721\pi\)
\(140\) 4.42178 + 7.64638i 0.373709 + 0.646237i
\(141\) −11.9143 + 10.9626i −1.00336 + 0.923218i
\(142\) 1.06510 0.614937i 0.0893815 0.0516044i
\(143\) −6.78526 7.20771i −0.567412 0.602739i
\(144\) −2.38846 + 1.81529i −0.199038 + 0.151274i
\(145\) −5.75004 0.604353i −0.477515 0.0501888i
\(146\) 5.69027 + 1.84888i 0.470930 + 0.153014i
\(147\) 3.60586 11.5757i 0.297406 0.954751i
\(148\) 8.13299 5.90896i 0.668528 0.485714i
\(149\) 4.69445 + 2.09010i 0.384584 + 0.171228i 0.589916 0.807464i \(-0.299161\pi\)
−0.205332 + 0.978692i \(0.565827\pi\)
\(150\) 9.77037 + 4.22439i 0.797747 + 0.344920i
\(151\) 6.38858 5.75230i 0.519895 0.468116i −0.366912 0.930256i \(-0.619585\pi\)
0.886807 + 0.462140i \(0.152918\pi\)
\(152\) 6.26901 + 0.658899i 0.508484 + 0.0534438i
\(153\) 7.53783 + 3.16307i 0.609397 + 0.255719i
\(154\) 5.72088 6.65369i 0.461002 0.536169i
\(155\) 16.8606i 1.35427i
\(156\) −4.93352 1.54438i −0.394998 0.123649i
\(157\) 11.2607 + 12.5063i 0.898702 + 0.998109i 0.999995 + 0.00325285i \(0.00103542\pi\)
−0.101293 + 0.994857i \(0.532298\pi\)
\(158\) −3.57961 + 16.8408i −0.284779 + 1.33978i
\(159\) −6.89511 + 9.70878i −0.546818 + 0.769956i
\(160\) 1.96232 + 2.70091i 0.155135 + 0.213525i
\(161\) 0.298626 + 2.82223i 0.0235350 + 0.222423i
\(162\) 8.05640 4.01178i 0.632971 0.315195i
\(163\) −0.645467 + 6.14121i −0.0505569 + 0.481017i 0.939724 + 0.341934i \(0.111082\pi\)
−0.990281 + 0.139083i \(0.955585\pi\)
\(164\) 5.50424 9.53363i 0.429809 0.744451i
\(165\) 1.37499 19.1289i 0.107043 1.48918i
\(166\) 5.99891 + 10.3904i 0.465606 + 0.806453i
\(167\) 0.650095 + 0.472322i 0.0503059 + 0.0365494i 0.612654 0.790351i \(-0.290102\pi\)
−0.562348 + 0.826901i \(0.690102\pi\)
\(168\) 0.901232 4.49308i 0.0695316 0.346649i
\(169\) 1.26442 + 3.89149i 0.0972631 + 0.299345i
\(170\) 3.70007 8.31049i 0.283782 0.637386i
\(171\) −18.1069 5.45447i −1.38467 0.417113i
\(172\) 0.207646 0.976897i 0.0158328 0.0744877i
\(173\) −20.0964 + 4.27162i −1.52790 + 0.324765i −0.893792 0.448481i \(-0.851965\pi\)
−0.634106 + 0.773246i \(0.718632\pi\)
\(174\) 2.03105 + 2.20737i 0.153974 + 0.167340i
\(175\) −15.4604 + 5.03536i −1.16870 + 0.380638i
\(176\) 1.88948 2.72578i 0.142425 0.205463i
\(177\) −9.78726 + 3.29718i −0.735656 + 0.247831i
\(178\) −5.52298 12.4048i −0.413965 0.929780i
\(179\) 4.93620 4.44457i 0.368949 0.332203i −0.463712 0.885986i \(-0.653483\pi\)
0.832661 + 0.553783i \(0.186816\pi\)
\(180\) −4.27006 9.05964i −0.318271 0.675266i
\(181\) −9.87038 + 7.17125i −0.733660 + 0.533035i −0.890719 0.454554i \(-0.849799\pi\)
0.157060 + 0.987589i \(0.449799\pi\)
\(182\) 7.21174 3.21692i 0.534570 0.238454i
\(183\) 17.6029 2.04230i 1.30125 0.150971i
\(184\) 0.223018 + 1.04922i 0.0164411 + 0.0773494i
\(185\) 13.6508 + 30.6602i 1.00363 + 2.25418i
\(186\) −5.78273 + 6.56335i −0.424011 + 0.481248i
\(187\) −9.00658 0.745106i −0.658626 0.0544876i
\(188\) 9.34753i 0.681739i
\(189\) −5.17361 + 12.7371i −0.376325 + 0.926488i
\(190\) −6.50307 + 20.0144i −0.471783 + 1.45200i
\(191\) −1.34358 1.20976i −0.0972179 0.0875353i 0.619089 0.785321i \(-0.287502\pi\)
−0.716307 + 0.697786i \(0.754169\pi\)
\(192\) 0.162462 1.72441i 0.0117247 0.124449i
\(193\) 3.45738 0.363385i 0.248868 0.0261570i 0.0207268 0.999785i \(-0.493402\pi\)
0.228141 + 0.973628i \(0.426735\pi\)
\(194\) 2.29305 2.54670i 0.164632 0.182842i
\(195\) 8.46768 15.0387i 0.606383 1.07694i
\(196\) 3.50848 + 6.05727i 0.250606 + 0.432662i
\(197\) −2.52468 −0.179876 −0.0899379 0.995947i \(-0.528667\pi\)
−0.0899379 + 0.995947i \(0.528667\pi\)
\(198\) −7.09596 + 6.97477i −0.504288 + 0.495675i
\(199\) −7.25141 + 12.5598i −0.514039 + 0.890342i 0.485828 + 0.874054i \(0.338518\pi\)
−0.999867 + 0.0162876i \(0.994815\pi\)
\(200\) −5.61429 + 2.49964i −0.396991 + 0.176752i
\(201\) 6.44572 0.0695145i 0.454646 0.00490317i
\(202\) −2.76084 8.49700i −0.194252 0.597847i
\(203\) −4.55722 0.475758i −0.319854 0.0333916i
\(204\) −4.29062 + 1.96602i −0.300403 + 0.137649i
\(205\) 27.3120 + 24.5918i 1.90755 + 1.71757i
\(206\) −6.97292 7.74421i −0.485826 0.539565i
\(207\) −0.0694010 3.21723i −0.00482370 0.223613i
\(208\) 2.58480 1.49233i 0.179224 0.103475i
\(209\) 20.9013 0.463638i 1.44578 0.0320705i
\(210\) 14.0468 + 6.06173i 0.969323 + 0.418299i
\(211\) 1.03651 1.42663i 0.0713564 0.0982136i −0.771847 0.635808i \(-0.780667\pi\)
0.843203 + 0.537595i \(0.180667\pi\)
\(212\) −1.42942 6.72491i −0.0981732 0.461869i
\(213\) 0.845396 1.95527i 0.0579256 0.133973i
\(214\) 1.59610 + 15.1859i 0.109107 + 1.03808i
\(215\) 3.04597 + 1.35616i 0.207734 + 0.0924890i
\(216\) −1.44501 + 4.99119i −0.0983202 + 0.339607i
\(217\) −0.00935373 13.3619i −0.000634972 0.907066i
\(218\) −5.70184 + 7.84790i −0.386177 + 0.531527i
\(219\) 9.82073 3.30845i 0.663623 0.223565i
\(220\) 7.58965 + 8.06219i 0.511694 + 0.543553i
\(221\) −7.04322 4.06641i −0.473778 0.273536i
\(222\) 5.20177 16.6170i 0.349120 1.11526i
\(223\) 4.13231 12.7179i 0.276720 0.851656i −0.712040 0.702139i \(-0.752228\pi\)
0.988759 0.149516i \(-0.0477716\pi\)
\(224\) 1.55663 + 2.13937i 0.104007 + 0.142943i
\(225\) 17.9471 4.22127i 1.19647 0.281418i
\(226\) 4.16752 9.36040i 0.277219 0.622645i
\(227\) −6.17656 1.31287i −0.409953 0.0871381i −0.00168099 0.999999i \(-0.500535\pi\)
−0.408272 + 0.912860i \(0.633868\pi\)
\(228\) 9.39589 5.56067i 0.622258 0.368265i
\(229\) 1.02172 9.72100i 0.0675170 0.642382i −0.907470 0.420118i \(-0.861989\pi\)
0.974987 0.222264i \(-0.0713446\pi\)
\(230\) −3.58107 −0.236129
\(231\) 1.07906 15.1603i 0.0709972 0.997477i
\(232\) −1.73183 −0.113700
\(233\) −0.0523197 + 0.497789i −0.00342758 + 0.0326112i −0.996102 0.0882088i \(-0.971886\pi\)
0.992674 + 0.120820i \(0.0385524\pi\)
\(234\) −8.45411 + 2.94995i −0.552663 + 0.192845i
\(235\) 30.5248 + 6.48825i 1.99122 + 0.423247i
\(236\) 2.42526 5.44721i 0.157871 0.354583i
\(237\) 12.4222 + 27.1102i 0.806912 + 1.76100i
\(238\) 2.92768 6.58808i 0.189773 0.427042i
\(239\) 0.201722 0.620837i 0.0130483 0.0401586i −0.944320 0.329027i \(-0.893279\pi\)
0.957369 + 0.288869i \(0.0932791\pi\)
\(240\) 5.51839 + 1.72747i 0.356211 + 0.111508i
\(241\) −3.93195 2.27011i −0.253279 0.146231i 0.367986 0.929831i \(-0.380047\pi\)
−0.621265 + 0.783601i \(0.713381\pi\)
\(242\) 5.07217 9.76079i 0.326051 0.627448i
\(243\) 7.05532 13.9004i 0.452599 0.891714i
\(244\) −6.01377 + 8.27724i −0.384992 + 0.529896i
\(245\) −22.2156 + 7.25269i −1.41930 + 0.463357i
\(246\) −2.19745 18.9402i −0.140104 1.20758i
\(247\) 17.1874 + 7.65234i 1.09361 + 0.486906i
\(248\) −0.527904 5.02267i −0.0335219 0.318940i
\(249\) 19.0743 + 8.24711i 1.20878 + 0.522640i
\(250\) −0.795184 3.74105i −0.0502918 0.236604i
\(251\) −11.5950 + 15.9591i −0.731869 + 1.00733i 0.267176 + 0.963648i \(0.413909\pi\)
−0.999045 + 0.0436839i \(0.986091\pi\)
\(252\) −3.38903 7.17736i −0.213489 0.452131i
\(253\) 1.17413 + 3.35827i 0.0738166 + 0.211133i
\(254\) 13.0650 7.54309i 0.819772 0.473296i
\(255\) −3.44195 15.3759i −0.215544 0.962874i
\(256\) 0.669131 + 0.743145i 0.0418207 + 0.0464466i
\(257\) 3.34477 + 3.01164i 0.208641 + 0.187861i 0.766825 0.641856i \(-0.221835\pi\)
−0.558185 + 0.829717i \(0.688502\pi\)
\(258\) −0.720588 1.57260i −0.0448619 0.0979060i
\(259\) 10.8352 + 24.2905i 0.673267 + 1.50934i
\(260\) 3.07915 + 9.47664i 0.190961 + 0.587716i
\(261\) 5.10406 + 0.970349i 0.315933 + 0.0600631i
\(262\) 2.62071 1.16682i 0.161908 0.0720861i
\(263\) 9.14930 15.8471i 0.564170 0.977172i −0.432956 0.901415i \(-0.642529\pi\)
0.997126 0.0757566i \(-0.0241372\pi\)
\(264\) −0.189322 5.74144i −0.0116520 0.353361i
\(265\) 22.9527 1.40997
\(266\) −5.14256 + 15.8649i −0.315310 + 0.972742i
\(267\) −20.4938 11.5392i −1.25420 0.706188i
\(268\) −2.49027 + 2.76573i −0.152118 + 0.168944i
\(269\) −31.6670 + 3.32833i −1.93077 + 0.202932i −0.990502 0.137502i \(-0.956093\pi\)
−0.940268 + 0.340434i \(0.889426\pi\)
\(270\) −15.2960 8.18319i −0.930883 0.498013i
\(271\) 4.41742 + 3.97746i 0.268339 + 0.241614i 0.792304 0.610126i \(-0.208881\pi\)
−0.523965 + 0.851740i \(0.675548\pi\)
\(272\) 0.842029 2.59150i 0.0510555 0.157133i
\(273\) 6.70226 11.9228i 0.405639 0.721600i
\(274\) 4.74395i 0.286593i
\(275\) −17.4216 + 10.5803i −1.05056 + 0.638016i
\(276\) 1.39401 + 1.22822i 0.0839098 + 0.0739299i
\(277\) −1.09009 2.44837i −0.0654970 0.147109i 0.877831 0.478970i \(-0.158990\pi\)
−0.943328 + 0.331862i \(0.892323\pi\)
\(278\) −2.35803 11.0937i −0.141425 0.665354i
\(279\) −1.25838 + 15.0987i −0.0753370 + 0.903933i
\(280\) −8.06669 + 3.59829i −0.482077 + 0.215039i
\(281\) −15.7119 + 11.4154i −0.937294 + 0.680984i −0.947768 0.318961i \(-0.896666\pi\)
0.0104735 + 0.999945i \(0.496666\pi\)
\(282\) −9.65717 12.9949i −0.575076 0.773836i
\(283\) −11.8718 + 10.6894i −0.705706 + 0.635420i −0.941747 0.336323i \(-0.890817\pi\)
0.236041 + 0.971743i \(0.424150\pi\)
\(284\) 0.500235 + 1.12355i 0.0296835 + 0.0666702i
\(285\) 11.6368 + 34.5425i 0.689307 + 2.04612i
\(286\) 7.87748 5.99467i 0.465805 0.354473i
\(287\) 21.6583 + 19.4737i 1.27845 + 1.14950i
\(288\) −1.55568 2.56512i −0.0916695 0.151151i
\(289\) 9.36588 1.99078i 0.550934 0.117105i
\(290\) 1.20209 5.65537i 0.0705889 0.332095i
\(291\) 0.556744 5.90943i 0.0326369 0.346417i
\(292\) −2.43355 + 5.46584i −0.142413 + 0.319864i
\(293\) 3.37442 + 10.3854i 0.197136 + 0.606722i 0.999945 + 0.0104858i \(0.00333781\pi\)
−0.802809 + 0.596236i \(0.796662\pi\)
\(294\) 11.1354 + 4.79610i 0.649430 + 0.279714i
\(295\) 16.1047 + 11.7008i 0.937654 + 0.681246i
\(296\) 5.02647 + 8.70609i 0.292157 + 0.506031i
\(297\) −2.65898 + 17.0273i −0.154290 + 0.988026i
\(298\) −2.56936 + 4.45026i −0.148839 + 0.257796i
\(299\) −0.334651 + 3.18399i −0.0193534 + 0.184135i
\(300\) −5.22253 + 9.27527i −0.301523 + 0.535508i
\(301\) 2.41467 + 1.07306i 0.139180 + 0.0618500i
\(302\) 5.05300 + 6.95486i 0.290768 + 0.400207i
\(303\) −12.6166 8.96021i −0.724804 0.514751i
\(304\) −1.31058 + 6.16579i −0.0751669 + 0.353632i
\(305\) −22.8555 25.3836i −1.30870 1.45346i
\(306\) −3.93366 + 7.16590i −0.224873 + 0.409647i
\(307\) 12.4401i 0.709997i −0.934867 0.354998i \(-0.884481\pi\)
0.934867 0.354998i \(-0.115519\pi\)
\(308\) 6.01924 + 6.38504i 0.342978 + 0.363821i
\(309\) −17.6945 3.56209i −1.00660 0.202640i
\(310\) 16.7682 + 1.76241i 0.952369 + 0.100098i
\(311\) 2.77086 2.49490i 0.157121 0.141473i −0.586821 0.809717i \(-0.699621\pi\)
0.743942 + 0.668244i \(0.232954\pi\)
\(312\) 2.05161 4.74506i 0.116150 0.268636i
\(313\) −9.14380 4.07108i −0.516838 0.230111i 0.131705 0.991289i \(-0.457955\pi\)
−0.648543 + 0.761178i \(0.724621\pi\)
\(314\) −13.6148 + 9.89175i −0.768329 + 0.558224i
\(315\) 25.7904 6.08513i 1.45312 0.342858i
\(316\) −16.3743 5.32034i −0.921128 0.299293i
\(317\) 21.7116 + 2.28198i 1.21944 + 0.128169i 0.692302 0.721608i \(-0.256597\pi\)
0.527143 + 0.849777i \(0.323263\pi\)
\(318\) −8.93486 7.87218i −0.501042 0.441450i
\(319\) −5.69764 + 0.726927i −0.319006 + 0.0407001i
\(320\) −2.89123 + 1.66925i −0.161625 + 0.0933140i
\(321\) 17.9078 + 19.4624i 0.999516 + 1.08628i
\(322\) −2.83799 + 0.00198667i −0.158155 + 0.000110713i
\(323\) 16.3356 5.30776i 0.908938 0.295332i
\(324\) 3.14768 + 8.43161i 0.174871 + 0.468423i
\(325\) −18.2421 + 1.91733i −1.01189 + 0.106354i
\(326\) −6.04010 1.28386i −0.334530 0.0711066i
\(327\) 0.181190 + 16.8009i 0.0100198 + 0.929090i
\(328\) 8.90605 + 6.47062i 0.491754 + 0.357280i
\(329\) 24.1944 + 5.12498i 1.33388 + 0.282549i
\(330\) 18.8804 + 3.36697i 1.03933 + 0.185346i
\(331\) −11.7817 20.4066i −0.647582 1.12165i −0.983699 0.179825i \(-0.942447\pi\)
0.336116 0.941821i \(-0.390887\pi\)
\(332\) −10.9606 + 4.87996i −0.601539 + 0.267822i
\(333\) −9.93600 28.4751i −0.544490 1.56042i
\(334\) −0.537688 + 0.597163i −0.0294210 + 0.0326753i
\(335\) −7.30309 10.0518i −0.399011 0.549191i
\(336\) 4.37426 + 1.36595i 0.238636 + 0.0745187i
\(337\) 13.0031 4.22496i 0.708324 0.230148i 0.0673702 0.997728i \(-0.478539\pi\)
0.640954 + 0.767580i \(0.278539\pi\)
\(338\) −4.00234 + 0.850723i −0.217698 + 0.0462732i
\(339\) −3.87680 17.3184i −0.210559 0.940606i
\(340\) 7.87820 + 4.54848i 0.427256 + 0.246676i
\(341\) −3.84502 16.3028i −0.208220 0.882844i
\(342\) 7.31727 17.4376i 0.395673 0.942916i
\(343\) −17.6018 + 5.76005i −0.950405 + 0.311014i
\(344\) 0.949840 + 0.308622i 0.0512119 + 0.0166398i
\(345\) −4.97840 + 3.69970i −0.268028 + 0.199185i
\(346\) −2.14757 20.4328i −0.115454 1.09847i
\(347\) −0.758453 7.21620i −0.0407159 0.387386i −0.995836 0.0911661i \(-0.970941\pi\)
0.955120 0.296220i \(-0.0957261\pi\)
\(348\) −2.40758 + 1.78920i −0.129060 + 0.0959109i
\(349\) −13.9076 4.51886i −0.744458 0.241889i −0.0878629 0.996133i \(-0.528004\pi\)
−0.656595 + 0.754244i \(0.728004\pi\)
\(350\) −3.39173 15.9021i −0.181295 0.850001i
\(351\) −8.70522 + 12.8352i −0.464650 + 0.685091i
\(352\) 2.51334 + 2.16405i 0.133962 + 0.115344i
\(353\) −5.90086 3.40686i −0.314071 0.181329i 0.334676 0.942333i \(-0.391373\pi\)
−0.648747 + 0.761004i \(0.724707\pi\)
\(354\) −2.25607 10.0783i −0.119909 0.535656i
\(355\) −4.01622 + 0.853673i −0.213159 + 0.0453083i
\(356\) 12.9142 4.19607i 0.684449 0.222391i
\(357\) −2.73626 12.1834i −0.144818 0.644814i
\(358\) 3.90425 + 5.37374i 0.206346 + 0.284011i
\(359\) −4.75329 + 5.27907i −0.250869 + 0.278618i −0.855405 0.517959i \(-0.826692\pi\)
0.604536 + 0.796578i \(0.293359\pi\)
\(360\) 9.45635 3.29967i 0.498394 0.173908i
\(361\) −18.9420 + 8.43353i −0.996948 + 0.443870i
\(362\) −6.10023 10.5659i −0.320621 0.555332i
\(363\) −3.03281 18.8096i −0.159181 0.987249i
\(364\) 2.44547 + 7.50849i 0.128177 + 0.393552i
\(365\) −16.1598 11.7408i −0.845843 0.614541i
\(366\) 0.191103 + 17.7200i 0.00998910 + 0.926238i
\(367\) 8.58382 + 1.82455i 0.448072 + 0.0952405i 0.426420 0.904525i \(-0.359774\pi\)
0.0216510 + 0.999766i \(0.493108\pi\)
\(368\) −1.06678 + 0.112123i −0.0556099 + 0.00584483i
\(369\) −22.6225 24.0604i −1.17768 1.25253i
\(370\) −31.9191 + 10.3712i −1.65940 + 0.539171i
\(371\) 18.1899 0.0127335i 0.944374 0.000661089i
\(372\) −5.92294 6.43711i −0.307090 0.333749i
\(373\) −5.86734 + 3.38751i −0.303799 + 0.175399i −0.644148 0.764901i \(-0.722788\pi\)
0.340349 + 0.940299i \(0.389455\pi\)
\(374\) 1.68247 8.87935i 0.0869984 0.459140i
\(375\) −4.97043 4.37927i −0.256672 0.226145i
\(376\) 9.29632 + 0.977083i 0.479421 + 0.0503892i
\(377\) −4.91595 1.59729i −0.253184 0.0822645i
\(378\) −12.1265 6.47666i −0.623722 0.333124i
\(379\) −25.4883 + 18.5184i −1.30925 + 0.951224i −0.309247 + 0.950982i \(0.600077\pi\)
−1.00000 0.000242201i \(0.999923\pi\)
\(380\) −19.2250 8.55953i −0.986222 0.439094i
\(381\) 10.3700 23.9842i 0.531271 1.22875i
\(382\) 1.34358 1.20976i 0.0687434 0.0618968i
\(383\) 27.8804 + 2.93035i 1.42462 + 0.149734i 0.785257 0.619170i \(-0.212531\pi\)
0.639364 + 0.768904i \(0.279198\pi\)
\(384\) 1.69799 + 0.341822i 0.0866500 + 0.0174436i
\(385\) −25.0287 + 15.2242i −1.27558 + 0.775896i
\(386\) 3.47642i 0.176945i
\(387\) −2.62646 1.44177i −0.133510 0.0732894i
\(388\) 2.29305 + 2.54670i 0.116412 + 0.129289i
\(389\) −0.912422 + 4.29261i −0.0462616 + 0.217644i −0.995206 0.0977991i \(-0.968820\pi\)
0.948945 + 0.315443i \(0.102153\pi\)
\(390\) 14.0712 + 9.99326i 0.712522 + 0.506029i
\(391\) 1.71801 + 2.36463i 0.0868833 + 0.119585i
\(392\) −6.39083 + 2.85611i −0.322785 + 0.144255i
\(393\) 2.43784 4.32963i 0.122973 0.218401i
\(394\) 0.263901 2.51085i 0.0132951 0.126495i
\(395\) 28.7395 49.7783i 1.44604 2.50462i
\(396\) −6.19483 7.78615i −0.311302 0.391269i
\(397\) −18.5435 32.1184i −0.930674 1.61197i −0.782172 0.623062i \(-0.785888\pi\)
−0.148502 0.988912i \(-0.547445\pi\)
\(398\) −11.7330 8.52455i −0.588124 0.427297i
\(399\) 9.24131 + 27.3683i 0.462644 + 1.37013i
\(400\) −1.89910 5.84482i −0.0949549 0.292241i
\(401\) 11.4925 25.8125i 0.573906 1.28901i −0.360486 0.932765i \(-0.617389\pi\)
0.934391 0.356248i \(-0.115944\pi\)
\(402\) −0.604628 + 6.41768i −0.0301561 + 0.320085i
\(403\) 3.13397 14.7442i 0.156114 0.734460i
\(404\) 8.73903 1.85754i 0.434783 0.0924160i
\(405\) −29.7187 + 4.42640i −1.47673 + 0.219950i
\(406\) 0.949510 4.48252i 0.0471234 0.222464i
\(407\) 20.1912 + 26.5328i 1.00084 + 1.31518i
\(408\) −1.50676 4.47262i −0.0745956 0.221428i
\(409\) 10.7656 + 24.1799i 0.532324 + 1.19562i 0.956951 + 0.290250i \(0.0937386\pi\)
−0.424627 + 0.905368i \(0.639595\pi\)
\(410\) −27.3120 + 24.5918i −1.34884 + 1.21450i
\(411\) 4.90110 + 6.59503i 0.241753 + 0.325309i
\(412\) 8.43066 6.12523i 0.415349 0.301768i
\(413\) 12.7694 + 9.26388i 0.628343 + 0.455846i
\(414\) 3.20686 + 0.267271i 0.157608 + 0.0131357i
\(415\) −8.32786 39.1795i −0.408799 1.92325i
\(416\) 1.21397 + 2.72663i 0.0595200 + 0.133684i
\(417\) −14.7393 12.9862i −0.721785 0.635939i
\(418\) −1.72369 + 20.8353i −0.0843082 + 1.01909i
\(419\) 33.9103i 1.65663i 0.560264 + 0.828314i \(0.310700\pi\)
−0.560264 + 0.828314i \(0.689300\pi\)
\(420\) −7.49682 + 13.3362i −0.365807 + 0.650742i
\(421\) 4.92289 15.1511i 0.239927 0.738420i −0.756502 0.653991i \(-0.773093\pi\)
0.996430 0.0844289i \(-0.0269066\pi\)
\(422\) 1.31047 + 1.17996i 0.0637929 + 0.0574394i
\(423\) −26.8508 8.08843i −1.30553 0.393273i
\(424\) 6.83748 0.718649i 0.332058 0.0349007i
\(425\) −11.2052 + 12.4447i −0.543533 + 0.603655i
\(426\) 1.85619 + 1.04515i 0.0899328 + 0.0506375i
\(427\) −18.1270 20.1037i −0.877226 0.972887i
\(428\) −15.2695 −0.738080
\(429\) 4.75800 16.4722i 0.229718 0.795286i
\(430\) −1.66712 + 2.88753i −0.0803955 + 0.139249i
\(431\) −4.71976 + 2.10137i −0.227343 + 0.101219i −0.517247 0.855836i \(-0.673043\pi\)
0.289904 + 0.957056i \(0.406376\pi\)
\(432\) −4.81280 1.95881i −0.231556 0.0942434i
\(433\) −0.666032 2.04984i −0.0320074 0.0985088i 0.933777 0.357857i \(-0.116492\pi\)
−0.965784 + 0.259348i \(0.916492\pi\)
\(434\) 13.2897 + 1.38740i 0.637926 + 0.0665973i
\(435\) −4.17157 9.10399i −0.200011 0.436503i
\(436\) −7.20891 6.49093i −0.345244 0.310859i
\(437\) −4.52436 5.02481i −0.216429 0.240369i
\(438\) 2.26378 + 10.1128i 0.108168 + 0.483206i
\(439\) 18.5718 10.7224i 0.886383 0.511753i 0.0136252 0.999907i \(-0.495663\pi\)
0.872758 + 0.488154i \(0.162330\pi\)
\(440\) −8.81136 + 6.70535i −0.420065 + 0.319665i
\(441\) 20.4354 4.83675i 0.973115 0.230321i
\(442\) 4.78035 6.57958i 0.227378 0.312959i
\(443\) 2.57246 + 12.1025i 0.122221 + 0.575006i 0.996052 + 0.0887750i \(0.0282952\pi\)
−0.873830 + 0.486231i \(0.838371\pi\)
\(444\) 15.9823 + 6.91022i 0.758485 + 0.327945i
\(445\) 4.73856 + 45.0844i 0.224629 + 2.13721i
\(446\) 12.2163 + 5.43905i 0.578459 + 0.257547i
\(447\) 1.02576 + 8.84121i 0.0485168 + 0.418175i
\(448\) −2.29036 + 1.32448i −0.108209 + 0.0625758i
\(449\) 7.18781 9.89317i 0.339214 0.466887i −0.604998 0.796227i \(-0.706826\pi\)
0.944212 + 0.329340i \(0.106826\pi\)
\(450\) 2.32217 + 18.2900i 0.109468 + 0.862199i
\(451\) 32.0165 + 17.5498i 1.50760 + 0.826388i
\(452\) 8.87350 + 5.12312i 0.417374 + 0.240971i
\(453\) 14.2099 + 4.44825i 0.667640 + 0.208997i
\(454\) 1.95130 6.00549i 0.0915792 0.281852i
\(455\) −26.2168 + 2.77405i −1.22906 + 0.130050i
\(456\) 4.54807 + 9.92567i 0.212983 + 0.464812i
\(457\) 6.54079 14.6909i 0.305965 0.687209i −0.693481 0.720475i \(-0.743924\pi\)
0.999447 + 0.0332653i \(0.0105906\pi\)
\(458\) 9.56095 + 2.03224i 0.446754 + 0.0949604i
\(459\) 1.93471 + 14.0260i 0.0903044 + 0.654677i
\(460\) 0.374324 3.56146i 0.0174530 0.166054i
\(461\) −17.8529 −0.831491 −0.415745 0.909481i \(-0.636479\pi\)
−0.415745 + 0.909481i \(0.636479\pi\)
\(462\) 14.9645 + 2.65784i 0.696211 + 0.123654i
\(463\) −25.1200 −1.16742 −0.583712 0.811961i \(-0.698400\pi\)
−0.583712 + 0.811961i \(0.698400\pi\)
\(464\) 0.181025 1.72234i 0.00840388 0.0799576i
\(465\) 25.1319 14.8736i 1.16546 0.689745i
\(466\) −0.489593 0.104066i −0.0226800 0.00482077i
\(467\) 4.37854 9.83435i 0.202615 0.455080i −0.783447 0.621458i \(-0.786541\pi\)
0.986062 + 0.166378i \(0.0532073\pi\)
\(468\) −2.05010 8.71615i −0.0947658 0.402904i
\(469\) −5.79325 7.96199i −0.267507 0.367651i
\(470\) −9.64342 + 29.6794i −0.444818 + 1.36901i
\(471\) −8.70789 + 27.8173i −0.401238 + 1.28175i
\(472\) 5.16386 + 2.98136i 0.237686 + 0.137228i
\(473\) 3.25448 + 0.616661i 0.149641 + 0.0283541i
\(474\) −28.2601 + 9.52041i −1.29803 + 0.437287i
\(475\) 22.7703 31.3406i 1.04477 1.43800i
\(476\) 6.24597 + 3.60028i 0.286283 + 0.165019i
\(477\) −20.5542 1.71306i −0.941111 0.0784356i
\(478\) 0.596351 + 0.265512i 0.0272764 + 0.0121443i
\(479\) 2.38882 + 22.7281i 0.109148 + 1.03847i 0.902788 + 0.430085i \(0.141516\pi\)
−0.793641 + 0.608387i \(0.791817\pi\)
\(480\) −2.29483 + 5.30759i −0.104744 + 0.242257i
\(481\) 6.23832 + 29.3490i 0.284443 + 1.33820i
\(482\) 2.66867 3.67312i 0.121555 0.167306i
\(483\) −3.94331 + 2.93476i −0.179427 + 0.133536i
\(484\) 9.17714 + 6.06466i 0.417143 + 0.275667i
\(485\) −9.90800 + 5.72039i −0.449899 + 0.259749i
\(486\) 13.0868 + 8.46966i 0.593630 + 0.384192i
\(487\) 8.88917 + 9.87243i 0.402807 + 0.447362i 0.910086 0.414419i \(-0.136015\pi\)
−0.507279 + 0.861782i \(0.669349\pi\)
\(488\) −7.60329 6.84603i −0.344185 0.309905i
\(489\) −9.72333 + 4.45536i −0.439704 + 0.201478i
\(490\) −4.89080 22.8520i −0.220944 1.03235i
\(491\) −7.50139 23.0869i −0.338533 1.04190i −0.964956 0.262413i \(-0.915482\pi\)
0.626423 0.779484i \(-0.284518\pi\)
\(492\) 19.0661 0.205621i 0.859568 0.00927009i
\(493\) −4.31101 + 1.91939i −0.194158 + 0.0864448i
\(494\) −9.40699 + 16.2934i −0.423240 + 0.733074i
\(495\) 29.7260 14.8250i 1.33608 0.666336i
\(496\) 5.05033 0.226767
\(497\) −3.18236 + 0.678761i −0.142748 + 0.0304466i
\(498\) −10.1957 + 18.1077i −0.456882 + 0.811427i
\(499\) −26.1109 + 28.9991i −1.16888 + 1.29818i −0.222575 + 0.974916i \(0.571446\pi\)
−0.946310 + 0.323262i \(0.895221\pi\)
\(500\) 3.80367 0.399782i 0.170105 0.0178788i
\(501\) −0.130548 + 1.38567i −0.00583247 + 0.0619073i
\(502\) −14.6597 13.1997i −0.654295 0.589129i
\(503\) 13.1616 40.5071i 0.586845 1.80612i −0.00488488 0.999988i \(-0.501555\pi\)
0.591730 0.806136i \(-0.298445\pi\)
\(504\) 7.49229 2.62022i 0.333733 0.116714i
\(505\) 29.8271i 1.32729i
\(506\) −3.46260 + 0.816658i −0.153932 + 0.0363049i
\(507\) −4.68514 + 5.31759i −0.208074 + 0.236162i
\(508\) 6.13611 + 13.7819i 0.272246 + 0.611474i
\(509\) −7.43616 34.9844i −0.329602 1.55066i −0.761156 0.648569i \(-0.775368\pi\)
0.431554 0.902087i \(-0.357965\pi\)
\(510\) 15.6514 1.81588i 0.693056 0.0804086i
\(511\) −12.8131 9.29556i −0.566818 0.411211i
\(512\) −0.809017 + 0.587785i −0.0357538 + 0.0259767i
\(513\) −7.84275 31.8013i −0.346266 1.40406i
\(514\) −3.34477 + 3.01164i −0.147531 + 0.132838i
\(515\) 14.1504 + 31.7823i 0.623542 + 1.40050i
\(516\) 1.63931 0.552259i 0.0721666 0.0243118i
\(517\) 30.9946 0.687530i 1.36314 0.0302375i
\(518\) −25.2900 + 8.23680i −1.11118 + 0.361904i
\(519\) −24.0952 26.1869i −1.05766 1.14948i
\(520\) −9.74659 + 2.07170i −0.427416 + 0.0908501i
\(521\) 0.675410 3.17756i 0.0295903 0.139211i −0.960873 0.276990i \(-0.910663\pi\)
0.990463 + 0.137779i \(0.0439964\pi\)
\(522\) −1.49855 + 4.97467i −0.0655899 + 0.217735i
\(523\) −5.26439 + 11.8240i −0.230196 + 0.517028i −0.991303 0.131598i \(-0.957989\pi\)
0.761107 + 0.648626i \(0.224656\pi\)
\(524\) 0.886485 + 2.72832i 0.0387263 + 0.119187i
\(525\) −21.1440 18.6029i −0.922800 0.811899i
\(526\) 14.8039 + 10.7557i 0.645480 + 0.468969i
\(527\) −6.88073 11.9178i −0.299729 0.519146i
\(528\) 5.72978 + 0.411859i 0.249357 + 0.0179239i
\(529\) −10.9247 + 18.9221i −0.474987 + 0.822702i
\(530\) −2.39921 + 22.8270i −0.104215 + 0.991540i
\(531\) −13.5485 11.6800i −0.587956 0.506870i
\(532\) −15.2405 6.77272i −0.660759 0.293635i
\(533\) 19.3127 + 26.5816i 0.836525 + 1.15138i
\(534\) 13.6182 19.1753i 0.589316 0.829797i
\(535\) 10.5988 49.8634i 0.458225 2.15578i
\(536\) −2.49027 2.76573i −0.107563 0.119461i
\(537\) 10.9794 + 3.43698i 0.473798 + 0.148317i
\(538\) 31.8414i 1.37278i
\(539\) −19.8267 + 12.0790i −0.853996 + 0.520279i
\(540\) 9.73723 14.3568i 0.419024 0.617818i
\(541\) −36.8663 3.87481i −1.58501 0.166591i −0.729353 0.684138i \(-0.760179\pi\)
−0.855655 + 0.517547i \(0.826845\pi\)
\(542\) −4.41742 + 3.97746i −0.189744 + 0.170847i
\(543\) −19.3964 8.38640i −0.832381 0.359895i
\(544\) 2.48929 + 1.10830i 0.106727 + 0.0475180i
\(545\) 26.2003 19.0356i 1.12230 0.815396i
\(546\) 11.1569 + 7.91181i 0.477471 + 0.338594i
\(547\) 26.0099 + 8.45114i 1.11211 + 0.361345i 0.806750 0.590894i \(-0.201225\pi\)
0.305356 + 0.952238i \(0.401225\pi\)
\(548\) −4.71796 0.495878i −0.201541 0.0211829i
\(549\) 18.5726 + 24.4369i 0.792661 + 1.04294i
\(550\) −8.70129 18.4321i −0.371024 0.785946i
\(551\) 9.45409 5.45832i 0.402758 0.232532i
\(552\) −1.36720 + 1.25799i −0.0581920 + 0.0535438i
\(553\) 22.7483 39.4650i 0.967357 1.67822i
\(554\) 2.54891 0.828190i 0.108293 0.0351864i
\(555\) −33.6592 + 47.3944i −1.42875 + 2.01178i
\(556\) 11.2794 1.18551i 0.478352 0.0502768i
\(557\) −36.3137 7.71872i −1.53866 0.327053i −0.640932 0.767598i \(-0.721452\pi\)
−0.897731 + 0.440545i \(0.854785\pi\)
\(558\) −14.8844 2.82972i −0.630107 0.119792i
\(559\) 2.41156 + 1.75210i 0.101998 + 0.0741060i
\(560\) −2.73538 8.39863i −0.115591 0.354907i
\(561\) −6.83453 14.0823i −0.288554 0.594554i
\(562\) −9.71050 16.8191i −0.409613 0.709470i
\(563\) 18.9959 8.45754i 0.800583 0.356443i 0.0346800 0.999398i \(-0.488959\pi\)
0.765903 + 0.642956i \(0.222292\pi\)
\(564\) 13.9332 8.24593i 0.586693 0.347216i
\(565\) −22.8890 + 25.4208i −0.962948 + 1.06946i
\(566\) −9.38992 12.9241i −0.394688 0.543241i
\(567\) −23.5495 + 3.52439i −0.988986 + 0.148011i
\(568\) −1.16968 + 0.380052i −0.0490787 + 0.0159466i
\(569\) 17.6574 3.75319i 0.740235 0.157342i 0.177665 0.984091i \(-0.443146\pi\)
0.562571 + 0.826749i \(0.309812\pi\)
\(570\) −35.5696 + 7.96242i −1.48985 + 0.333509i
\(571\) −14.9901 8.65456i −0.627317 0.362182i 0.152395 0.988320i \(-0.451301\pi\)
−0.779712 + 0.626138i \(0.784635\pi\)
\(572\) 5.13841 + 8.46094i 0.214848 + 0.353770i
\(573\) 0.618002 3.06989i 0.0258174 0.128247i
\(574\) −21.6310 + 19.5041i −0.902859 + 0.814083i
\(575\) 6.26950 + 2.03708i 0.261456 + 0.0849522i
\(576\) 2.71368 1.27903i 0.113070 0.0532930i
\(577\) −1.15930 11.0300i −0.0482623 0.459185i −0.991789 0.127887i \(-0.959180\pi\)
0.943526 0.331297i \(-0.107486\pi\)
\(578\) 1.00087 + 9.52267i 0.0416308 + 0.396091i
\(579\) 3.59158 + 4.83292i 0.149261 + 0.200849i
\(580\) 5.49873 + 1.78665i 0.228323 + 0.0741865i
\(581\) −6.62153 31.0450i −0.274707 1.28796i
\(582\) 5.81886 + 1.17140i 0.241199 + 0.0485560i
\(583\) 22.1934 5.23433i 0.919156 0.216784i
\(584\) −5.18152 2.99155i −0.214413 0.123791i
\(585\) 29.8860 0.644692i 1.23564 0.0266547i
\(586\) −10.6812 + 2.27037i −0.441238 + 0.0937880i
\(587\) 17.3402 5.63418i 0.715708 0.232548i 0.0715467 0.997437i \(-0.477206\pi\)
0.644161 + 0.764890i \(0.277206\pi\)
\(588\) −5.93380 + 10.5731i −0.244706 + 0.436027i
\(589\) 18.7121 + 25.7550i 0.771020 + 1.06122i
\(590\) −13.3201 + 14.7935i −0.548379 + 0.609037i
\(591\) −2.22715 3.76322i −0.0916126 0.154798i
\(592\) −9.18381 + 4.08890i −0.377452 + 0.168053i
\(593\) 6.16209 + 10.6730i 0.253047 + 0.438290i 0.964363 0.264582i \(-0.0852341\pi\)
−0.711317 + 0.702872i \(0.751901\pi\)
\(594\) −16.6561 4.42425i −0.683408 0.181529i
\(595\) −16.0923 + 17.8975i −0.659721 + 0.733726i
\(596\) −4.15731 3.02046i −0.170290 0.123723i
\(597\) −25.1182 + 0.270889i −1.02802 + 0.0110868i
\(598\) −3.13157 0.665636i −0.128059 0.0272199i
\(599\) 21.4437 2.25382i 0.876165 0.0920887i 0.344242 0.938881i \(-0.388136\pi\)
0.531924 + 0.846792i \(0.321469\pi\)
\(600\) −8.67856 6.16345i −0.354301 0.251622i
\(601\) 17.0063 5.52569i 0.693702 0.225398i 0.0591179 0.998251i \(-0.481171\pi\)
0.634585 + 0.772853i \(0.281171\pi\)
\(602\) −1.31958 + 2.28928i −0.0537821 + 0.0933041i
\(603\) 5.78972 + 9.54650i 0.235776 + 0.388764i
\(604\) −7.44494 + 4.29834i −0.302930 + 0.174897i
\(605\) −26.1744 + 25.7588i −1.06414 + 1.04725i
\(606\) 10.2299 11.6109i 0.415562 0.471659i
\(607\) 20.0624 + 2.10864i 0.814308 + 0.0855872i 0.502521 0.864565i \(-0.332406\pi\)
0.311787 + 0.950152i \(0.399073\pi\)
\(608\) −5.99502 1.94790i −0.243130 0.0789978i
\(609\) −3.31100 7.21256i −0.134169 0.292268i
\(610\) 27.6336 20.0770i 1.11885 0.812893i
\(611\) 25.4873 + 11.3477i 1.03110 + 0.459077i
\(612\) −6.71547 4.66116i −0.271457 0.188416i
\(613\) 7.99514 7.19885i 0.322921 0.290759i −0.491686 0.870772i \(-0.663619\pi\)
0.814607 + 0.580013i \(0.196953\pi\)
\(614\) 12.3720 + 1.30035i 0.499293 + 0.0524778i
\(615\) −12.5626 + 62.4042i −0.506573 + 2.51638i
\(616\) −6.97924 + 5.31885i −0.281202 + 0.214303i
\(617\) 44.5484i 1.79345i −0.442589 0.896725i \(-0.645940\pi\)
0.442589 0.896725i \(-0.354060\pi\)
\(618\) 5.39215 17.2252i 0.216904 0.692900i
\(619\) 10.5099 + 11.6725i 0.422430 + 0.469156i 0.916365 0.400343i \(-0.131109\pi\)
−0.493936 + 0.869498i \(0.664442\pi\)
\(620\) −3.50551 + 16.4921i −0.140785 + 0.662339i
\(621\) 4.73429 2.94153i 0.189981 0.118039i
\(622\) 2.19160 + 3.01647i 0.0878750 + 0.120950i
\(623\) 3.78030 + 35.7266i 0.151455 + 1.43135i
\(624\) 4.50462 + 2.53637i 0.180329 + 0.101536i
\(625\) 1.87728 17.8611i 0.0750913 0.714446i
\(626\) 5.00457 8.66816i 0.200023 0.346450i
\(627\) 19.1292 + 30.7460i 0.763947 + 1.22788i
\(628\) −8.41443 14.5742i −0.335772 0.581575i
\(629\) 22.1613 + 16.1011i 0.883628 + 0.641994i
\(630\) 3.35597 + 26.2852i 0.133705 + 1.04723i
\(631\) −6.45028 19.8519i −0.256782 0.790293i −0.993473 0.114064i \(-0.963613\pi\)
0.736692 0.676229i \(-0.236387\pi\)
\(632\) 7.00278 15.7285i 0.278556 0.625646i
\(633\) 3.04086 + 0.286488i 0.120863 + 0.0113869i
\(634\) −4.53896 + 21.3541i −0.180265 + 0.848080i
\(635\) −49.2647 + 10.4715i −1.95501 + 0.415550i
\(636\) 8.76300 8.06305i 0.347476 0.319721i
\(637\) −20.7752 + 2.21297i −0.823142 + 0.0876810i
\(638\) −0.127379 5.74241i −0.00504300 0.227344i
\(639\) 3.66024 0.464718i 0.144797 0.0183840i
\(640\) −1.35789 3.04988i −0.0536754 0.120557i
\(641\) 26.3759 23.7490i 1.04179 0.938029i 0.0436497 0.999047i \(-0.486101\pi\)
0.998137 + 0.0610183i \(0.0194348\pi\)
\(642\) −21.2277 + 15.7753i −0.837789 + 0.622603i
\(643\) 16.1761 11.7527i 0.637925 0.463480i −0.221212 0.975226i \(-0.571001\pi\)
0.859137 + 0.511746i \(0.171001\pi\)
\(644\) 0.294675 2.82265i 0.0116118 0.111228i
\(645\) 0.665560 + 5.73658i 0.0262064 + 0.225878i
\(646\) 3.57115 + 16.8009i 0.140505 + 0.661024i
\(647\) 0.393180 + 0.883098i 0.0154575 + 0.0347181i 0.921109 0.389304i \(-0.127284\pi\)
−0.905652 + 0.424022i \(0.860618\pi\)
\(648\) −8.71445 + 2.24909i −0.342336 + 0.0883527i
\(649\) 18.2403 + 7.64103i 0.715994 + 0.299937i
\(650\) 18.3426i 0.719456i
\(651\) 19.9087 11.8012i 0.780283 0.462524i
\(652\) 1.90819 5.87281i 0.0747305 0.229997i
\(653\) 21.7712 + 19.6028i 0.851971 + 0.767118i 0.974272 0.225375i \(-0.0723607\pi\)
−0.122301 + 0.992493i \(0.539027\pi\)
\(654\) −16.7278 1.57597i −0.654107 0.0616253i
\(655\) −9.52479 + 1.00110i −0.372164 + 0.0391160i
\(656\) −7.36611 + 8.18090i −0.287598 + 0.319410i
\(657\) 13.5949 + 11.7200i 0.530386 + 0.457239i
\(658\) −7.62590 + 23.5261i −0.297289 + 0.917145i
\(659\) −32.4424 −1.26378 −0.631888 0.775060i \(-0.717720\pi\)
−0.631888 + 0.775060i \(0.717720\pi\)
\(660\) −5.32207 + 18.4250i −0.207161 + 0.717192i
\(661\) 22.4002 38.7983i 0.871268 1.50908i 0.0105814 0.999944i \(-0.496632\pi\)
0.860686 0.509136i \(-0.170035\pi\)
\(662\) 21.5263 9.58412i 0.836643 0.372498i
\(663\) −0.151908 14.0856i −0.00589961 0.547040i
\(664\) −3.70753 11.4106i −0.143880 0.442818i
\(665\) 32.6953 45.0675i 1.26787 1.74764i
\(666\) 29.3577 6.90512i 1.13759 0.267568i
\(667\) 1.38051 + 1.24302i 0.0534535 + 0.0481298i
\(668\) −0.537688 0.597163i −0.0208038 0.0231049i
\(669\) 22.6023 5.05963i 0.873857 0.195617i
\(670\) 10.7602 6.21238i 0.415701 0.240005i
\(671\) −27.8881 19.3317i −1.07661 0.746292i
\(672\) −1.81570 + 4.20752i −0.0700422 + 0.162309i
\(673\) −2.27193 + 3.12705i −0.0875765 + 0.120539i −0.850557 0.525883i \(-0.823735\pi\)
0.762981 + 0.646421i \(0.223735\pi\)
\(674\) 2.84262 + 13.3735i 0.109494 + 0.515128i
\(675\) 22.1241 + 23.0276i 0.851559 + 0.886334i
\(676\) −0.427704 4.06933i −0.0164502 0.156513i
\(677\) 20.1480 + 8.97047i 0.774351 + 0.344763i 0.755577 0.655060i \(-0.227357\pi\)
0.0187746 + 0.999824i \(0.494024\pi\)
\(678\) 17.6288 2.04529i 0.677028 0.0785490i
\(679\) −7.84888 + 4.53888i −0.301212 + 0.174186i
\(680\) −5.34706 + 7.35960i −0.205050 + 0.282228i
\(681\) −3.49173 10.3648i −0.133803 0.397179i
\(682\) 16.6154 2.11985i 0.636236 0.0811734i
\(683\) 8.58069 + 4.95407i 0.328331 + 0.189562i 0.655100 0.755542i \(-0.272627\pi\)
−0.326769 + 0.945104i \(0.605960\pi\)
\(684\) 16.5772 + 9.09991i 0.633845 + 0.347944i
\(685\) 4.89412 15.0625i 0.186995 0.575510i
\(686\) −3.88861 18.1074i −0.148468 0.691345i
\(687\) 15.3912 7.05244i 0.587210 0.269067i
\(688\) −0.406216 + 0.912377i −0.0154869 + 0.0347840i
\(689\) 20.0716 + 4.26636i 0.764668 + 0.162535i
\(690\) −3.15905 5.33786i −0.120263 0.203209i
\(691\) −4.34452 + 41.3354i −0.165273 + 1.57247i 0.526385 + 0.850246i \(0.323547\pi\)
−0.691658 + 0.722225i \(0.743120\pi\)
\(692\) 20.5453 0.781017
\(693\) 23.5495 11.7653i 0.894571 0.446926i
\(694\) 7.25595 0.275432
\(695\) −3.95783 + 37.6562i −0.150129 + 1.42838i
\(696\) −1.52773 2.58142i −0.0579086 0.0978483i
\(697\) 29.3411 + 6.23664i 1.11137 + 0.236230i
\(698\) 5.94784 13.3591i 0.225129 0.505649i
\(699\) −0.788145 + 0.361138i −0.0298104 + 0.0136595i
\(700\) 16.1695 1.71093i 0.611149 0.0646670i
\(701\) −13.0745 + 40.2391i −0.493816 + 1.51981i 0.324978 + 0.945722i \(0.394643\pi\)
−0.818794 + 0.574088i \(0.805357\pi\)
\(702\) −11.8549 9.99917i −0.447435 0.377394i
\(703\) −54.8792 31.6845i −2.06981 1.19500i
\(704\) −2.41491 + 2.27337i −0.0910154 + 0.0856808i
\(705\) 17.2563 + 51.2231i 0.649909 + 1.92917i
\(706\) 4.00501 5.51242i 0.150730 0.207463i
\(707\) 0.0165472 + 23.6379i 0.000622320 + 0.888993i
\(708\) 10.2589 1.19024i 0.385554 0.0447320i
\(709\) −3.70028 1.64747i −0.138967 0.0618721i 0.336075 0.941835i \(-0.390900\pi\)
−0.475042 + 0.879963i \(0.657567\pi\)
\(710\) −0.429188 4.08345i −0.0161071 0.153249i
\(711\) −29.4514 + 42.4315i −1.10451 + 1.59131i
\(712\) 2.82318 + 13.2820i 0.105803 + 0.497765i
\(713\) −3.18420 + 4.38267i −0.119249 + 0.164132i
\(714\) 12.4027 1.44776i 0.464159 0.0541811i
\(715\) −31.1963 + 10.9069i −1.16667 + 0.407895i
\(716\) −5.75241 + 3.32116i −0.214978 + 0.124117i
\(717\) 1.10335 0.246990i 0.0412055 0.00922402i
\(718\) −4.75329 5.27907i −0.177391 0.197013i
\(719\) 8.01069 + 7.21286i 0.298748 + 0.268994i 0.804848 0.593481i \(-0.202247\pi\)
−0.506100 + 0.862475i \(0.668913\pi\)
\(720\) 2.29314 + 9.74946i 0.0854602 + 0.363341i
\(721\) 11.2318 + 25.1795i 0.418293 + 0.937734i
\(722\) −6.40735 19.7198i −0.238457 0.733894i
\(723\) −0.0848039 7.86343i −0.00315389 0.292444i
\(724\) 11.1457 4.96237i 0.414226 0.184425i
\(725\) −5.32157 + 9.21722i −0.197638 + 0.342319i
\(726\) 19.0236 1.05005i 0.706032 0.0389711i
\(727\) 1.55296 0.0575962 0.0287981 0.999585i \(-0.490832\pi\)
0.0287981 + 0.999585i \(0.490832\pi\)
\(728\) −7.72298 + 1.64722i −0.286233 + 0.0610501i
\(729\) 26.9435 1.74582i 0.997907 0.0646599i
\(730\) 13.3656 14.8440i 0.494684 0.549402i
\(731\) 2.70647 0.284461i 0.100102 0.0105212i
\(732\) −17.6429 1.66219i −0.652100 0.0614362i
\(733\) −15.4000 13.8662i −0.568810 0.512159i 0.333785 0.942649i \(-0.391674\pi\)
−0.902595 + 0.430490i \(0.858341\pi\)
\(734\) −2.71180 + 8.34608i −0.100095 + 0.308059i
\(735\) −30.4082 26.7160i −1.12162 0.985436i
\(736\) 1.07266i 0.0395387i
\(737\) −9.35380 8.05385i −0.344551 0.296667i
\(738\) 26.2933 19.9836i 0.967869 0.735606i
\(739\) −8.16363 18.3358i −0.300304 0.674494i 0.698865 0.715254i \(-0.253689\pi\)
−0.999169 + 0.0407599i \(0.987022\pi\)
\(740\) −6.97788 32.8283i −0.256512 1.20679i
\(741\) 3.75554 + 32.3696i 0.137963 + 1.18913i
\(742\) −1.88870 + 18.0916i −0.0693364 + 0.664164i
\(743\) 18.9719 13.7839i 0.696012 0.505683i −0.182619 0.983184i \(-0.558457\pi\)
0.878631 + 0.477501i \(0.158457\pi\)
\(744\) 7.02096 5.21763i 0.257401 0.191288i
\(745\) 12.7491 11.4793i 0.467091 0.420571i
\(746\) −2.75565 6.18929i −0.100891 0.226606i
\(747\) 4.53347 + 35.7068i 0.165871 + 1.30644i
\(748\) 8.65485 + 2.60140i 0.316453 + 0.0951165i
\(749\) 8.37183 39.5224i 0.305900 1.44412i
\(750\) 4.87483 4.48545i 0.178004 0.163785i
\(751\) 40.1154 8.52678i 1.46383 0.311147i 0.593987 0.804475i \(-0.297553\pi\)
0.869843 + 0.493328i \(0.164220\pi\)
\(752\) −1.94346 + 9.14326i −0.0708707 + 0.333420i
\(753\) −34.0168 3.20482i −1.23964 0.116790i
\(754\) 2.10239 4.72205i 0.0765647 0.171967i
\(755\) −8.86880 27.2954i −0.322769 0.993380i
\(756\) 7.70875 11.3831i 0.280365 0.414000i
\(757\) −15.5750 11.3159i −0.566084 0.411284i 0.267597 0.963531i \(-0.413771\pi\)
−0.833680 + 0.552247i \(0.813771\pi\)
\(758\) −15.7527 27.2844i −0.572162 0.991014i
\(759\) −3.97000 + 4.71262i −0.144102 + 0.171057i
\(760\) 10.5222 18.2250i 0.381680 0.661089i
\(761\) 2.10959 20.0714i 0.0764724 0.727586i −0.887360 0.461077i \(-0.847463\pi\)
0.963832 0.266509i \(-0.0858703\pi\)
\(762\) 22.7689 + 12.8202i 0.824829 + 0.464428i
\(763\) 20.7530 15.1002i 0.751310 0.546663i
\(764\) 1.06269 + 1.46267i 0.0384469 + 0.0529176i
\(765\) 19.8825 18.6943i 0.718855 0.675895i
\(766\) −5.82859 + 27.4213i −0.210595 + 0.990773i
\(767\) 11.9083 + 13.2256i 0.429985 + 0.477547i
\(768\) −0.517438 + 1.65295i −0.0186714 + 0.0596459i
\(769\) 21.3254i 0.769014i −0.923122 0.384507i \(-0.874371\pi\)
0.923122 0.384507i \(-0.125629\pi\)
\(770\) −12.5246 26.4830i −0.451354 0.954380i
\(771\) −1.53848 + 7.64234i −0.0554072 + 0.275232i
\(772\) −3.45738 0.363385i −0.124434 0.0130785i
\(773\) −20.7084