Properties

Label 930.2.br.a.11.5
Level $930$
Weight $2$
Character 930.11
Analytic conductor $7.426$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.br (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 11.5
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.a.761.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.951057 + 0.309017i) q^{2} +(-0.361945 - 1.69381i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(0.867646 + 1.49906i) q^{6} +(0.291242 + 2.77098i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-2.73799 + 1.22613i) q^{9} +O(q^{10})\) \(q+(-0.951057 + 0.309017i) q^{2} +(-0.361945 - 1.69381i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(0.867646 + 1.49906i) q^{6} +(0.291242 + 2.77098i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-2.73799 + 1.22613i) q^{9} +(-0.669131 + 0.743145i) q^{10} +(0.845000 + 0.376218i) q^{11} +(-1.28842 - 1.15758i) q^{12} +(0.183685 + 0.864168i) q^{13} +(-1.13327 - 2.54536i) q^{14} +(-1.16036 - 1.28591i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-6.74748 + 3.00417i) q^{17} +(2.22509 - 2.01221i) q^{18} +(-4.78556 - 1.01720i) q^{19} +(0.406737 - 0.913545i) q^{20} +(4.58810 - 1.49625i) q^{21} +(-0.919901 - 0.0966854i) q^{22} +(-4.70119 - 3.41562i) q^{23} +(1.58307 + 0.702778i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-0.441737 - 0.765111i) q^{26} +(3.06784 + 4.19385i) q^{27} +(1.86436 + 2.07058i) q^{28} +(-2.07551 - 6.38777i) q^{29} +(1.50094 + 0.864404i) q^{30} +(-5.55740 - 0.339510i) q^{31} +1.00000i q^{32} +(0.331399 - 1.56744i) q^{33} +(5.48890 - 4.94222i) q^{34} +(1.63771 + 2.25412i) q^{35} +(-1.49438 + 2.60131i) q^{36} +(-5.69551 - 3.28830i) q^{37} +(4.86567 - 0.511403i) q^{38} +(1.39725 - 0.623908i) q^{39} +(-0.104528 + 0.994522i) q^{40} +(-5.51083 - 4.96197i) q^{41} +(-3.90118 + 2.84082i) q^{42} +(-0.327905 + 1.54267i) q^{43} +(0.904755 - 0.192312i) q^{44} +(-1.75811 + 2.43086i) q^{45} +(5.52658 + 1.79570i) q^{46} +(8.09135 + 2.62904i) q^{47} +(-1.72276 - 0.179187i) q^{48} +(-0.746472 + 0.158668i) q^{49} +(-0.207912 + 0.978148i) q^{50} +(7.53071 + 10.3416i) q^{51} +(0.656549 + 0.591160i) q^{52} +(-1.16801 + 11.1129i) q^{53} +(-4.21366 - 3.04058i) q^{54} +(0.919901 - 0.0966854i) q^{55} +(-2.41296 - 1.39312i) q^{56} +(0.00915890 + 8.47400i) q^{57} +(3.94786 + 5.43376i) q^{58} +(-10.2224 + 9.20431i) q^{59} +(-1.69459 - 0.358282i) q^{60} -3.49140i q^{61} +(5.39032 - 1.39444i) q^{62} +(-4.19500 - 7.22982i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(0.591160 + 0.656549i) q^{65} +(0.169186 + 1.59313i) q^{66} +(-1.98219 - 3.43326i) q^{67} +(-3.69302 + 6.39650i) q^{68} +(-4.08384 + 9.19919i) q^{69} +(-2.25412 - 1.63771i) q^{70} +(15.9627 + 1.67775i) q^{71} +(0.617390 - 2.93578i) q^{72} +(-0.0562466 + 0.126332i) q^{73} +(6.43289 + 1.36735i) q^{74} +(-1.64786 - 0.533452i) q^{75} +(-4.46950 + 1.98995i) q^{76} +(-0.796394 + 2.45105i) q^{77} +(-1.13607 + 1.02515i) q^{78} +(-4.01236 - 9.01191i) q^{79} +(-0.207912 - 0.978148i) q^{80} +(5.99320 - 6.71428i) q^{81} +(6.77444 + 3.01618i) q^{82} +(-11.6516 + 12.9404i) q^{83} +(2.83238 - 3.90731i) q^{84} +(-4.34140 + 5.97543i) q^{85} +(-0.164855 - 1.56850i) q^{86} +(-10.0685 + 5.82755i) q^{87} +(-0.801045 + 0.462484i) q^{88} +(9.03934 - 6.56747i) q^{89} +(0.920881 - 2.85517i) q^{90} +(-2.34110 + 0.760668i) q^{91} -5.81099 q^{92} +(1.43641 + 9.53608i) q^{93} -8.50775 q^{94} +(-4.65302 + 1.51186i) q^{95} +(1.69381 - 0.361945i) q^{96} +(-10.3557 + 7.52384i) q^{97} +(0.660906 - 0.381574i) q^{98} +(-2.77490 + 0.00599835i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} + O(q^{10}) \) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} - 22q^{10} - 38q^{13} - 44q^{16} + 12q^{18} + 8q^{19} - 18q^{21} - 4q^{22} + 88q^{25} - 90q^{27} + 36q^{28} + 24q^{31} + 18q^{33} + 14q^{34} + 4q^{36} - 42q^{37} - 42q^{39} + 22q^{40} - 12q^{42} - 34q^{43} - 8q^{45} + 10q^{46} + 22q^{49} + 26q^{51} - 2q^{52} + 4q^{55} + 114q^{57} + 32q^{63} + 44q^{64} - 42q^{66} + 20q^{67} + 16q^{69} + 8q^{70} - 12q^{72} - 28q^{73} + 12q^{76} - 92q^{78} - 56q^{79} - 124q^{81} - 32q^{82} - 12q^{84} - 36q^{87} - 6q^{88} + 24q^{90} - 140q^{91} - 104q^{93} - 36q^{94} + 88q^{97} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{30}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.951057 + 0.309017i −0.672499 + 0.218508i
\(3\) −0.361945 1.69381i −0.208969 0.977922i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) 0.867646 + 1.49906i 0.354215 + 0.611990i
\(7\) 0.291242 + 2.77098i 0.110079 + 1.04733i 0.900526 + 0.434802i \(0.143182\pi\)
−0.790447 + 0.612530i \(0.790152\pi\)
\(8\) −0.587785 + 0.809017i −0.207813 + 0.286031i
\(9\) −2.73799 + 1.22613i −0.912664 + 0.408710i
\(10\) −0.669131 + 0.743145i −0.211598 + 0.235003i
\(11\) 0.845000 + 0.376218i 0.254777 + 0.113434i 0.530151 0.847903i \(-0.322135\pi\)
−0.275374 + 0.961337i \(0.588802\pi\)
\(12\) −1.28842 1.15758i −0.371934 0.334164i
\(13\) 0.183685 + 0.864168i 0.0509449 + 0.239677i 0.996251 0.0865068i \(-0.0275704\pi\)
−0.945306 + 0.326184i \(0.894237\pi\)
\(14\) −1.13327 2.54536i −0.302878 0.680276i
\(15\) −1.16036 1.28591i −0.299603 0.332021i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) −6.74748 + 3.00417i −1.63650 + 0.728619i −0.999121 0.0419276i \(-0.986650\pi\)
−0.637384 + 0.770546i \(0.719983\pi\)
\(18\) 2.22509 2.01221i 0.524459 0.474282i
\(19\) −4.78556 1.01720i −1.09788 0.233362i −0.376858 0.926271i \(-0.622995\pi\)
−0.721025 + 0.692909i \(0.756329\pi\)
\(20\) 0.406737 0.913545i 0.0909491 0.204275i
\(21\) 4.58810 1.49625i 1.00121 0.326508i
\(22\) −0.919901 0.0966854i −0.196123 0.0206134i
\(23\) −4.70119 3.41562i −0.980266 0.712205i −0.0224980 0.999747i \(-0.507162\pi\)
−0.957768 + 0.287542i \(0.907162\pi\)
\(24\) 1.58307 + 0.702778i 0.323142 + 0.143454i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −0.441737 0.765111i −0.0866318 0.150051i
\(27\) 3.06784 + 4.19385i 0.590405 + 0.807107i
\(28\) 1.86436 + 2.07058i 0.352331 + 0.391303i
\(29\) −2.07551 6.38777i −0.385413 1.18618i −0.936180 0.351521i \(-0.885665\pi\)
0.550767 0.834659i \(-0.314335\pi\)
\(30\) 1.50094 + 0.864404i 0.274032 + 0.157818i
\(31\) −5.55740 0.339510i −0.998139 0.0609778i
\(32\) 1.00000i 0.176777i
\(33\) 0.331399 1.56744i 0.0576892 0.272856i
\(34\) 5.48890 4.94222i 0.941338 0.847584i
\(35\) 1.63771 + 2.25412i 0.276824 + 0.381015i
\(36\) −1.49438 + 2.60131i −0.249063 + 0.433552i
\(37\) −5.69551 3.28830i −0.936335 0.540594i −0.0475258 0.998870i \(-0.515134\pi\)
−0.888810 + 0.458276i \(0.848467\pi\)
\(38\) 4.86567 0.511403i 0.789316 0.0829604i
\(39\) 1.39725 0.623908i 0.223740 0.0999052i
\(40\) −0.104528 + 0.994522i −0.0165274 + 0.157248i
\(41\) −5.51083 4.96197i −0.860647 0.774930i 0.115210 0.993341i \(-0.463246\pi\)
−0.975857 + 0.218411i \(0.929913\pi\)
\(42\) −3.90118 + 2.84082i −0.601965 + 0.438348i
\(43\) −0.327905 + 1.54267i −0.0500050 + 0.235255i −0.996052 0.0887753i \(-0.971705\pi\)
0.946047 + 0.324030i \(0.105038\pi\)
\(44\) 0.904755 0.192312i 0.136397 0.0289921i
\(45\) −1.75811 + 2.43086i −0.262083 + 0.362371i
\(46\) 5.52658 + 1.79570i 0.814850 + 0.264761i
\(47\) 8.09135 + 2.62904i 1.18025 + 0.383485i 0.832458 0.554088i \(-0.186933\pi\)
0.347787 + 0.937573i \(0.386933\pi\)
\(48\) −1.72276 0.179187i −0.248659 0.0258634i
\(49\) −0.746472 + 0.158668i −0.106639 + 0.0226668i
\(50\) −0.207912 + 0.978148i −0.0294032 + 0.138331i
\(51\) 7.53071 + 10.3416i 1.05451 + 1.44812i
\(52\) 0.656549 + 0.591160i 0.0910470 + 0.0819791i
\(53\) −1.16801 + 11.1129i −0.160438 + 1.52647i 0.557391 + 0.830250i \(0.311803\pi\)
−0.717829 + 0.696219i \(0.754864\pi\)
\(54\) −4.21366 3.04058i −0.573406 0.413770i
\(55\) 0.919901 0.0966854i 0.124039 0.0130371i
\(56\) −2.41296 1.39312i −0.322445 0.186164i
\(57\) 0.00915890 + 8.47400i 0.00121313 + 1.12241i
\(58\) 3.94786 + 5.43376i 0.518380 + 0.713488i
\(59\) −10.2224 + 9.20431i −1.33085 + 1.19830i −0.367505 + 0.930022i \(0.619788\pi\)
−0.963341 + 0.268278i \(0.913545\pi\)
\(60\) −1.69459 0.358282i −0.218771 0.0462540i
\(61\) 3.49140i 0.447028i −0.974701 0.223514i \(-0.928247\pi\)
0.974701 0.223514i \(-0.0717528\pi\)
\(62\) 5.39032 1.39444i 0.684571 0.177094i
\(63\) −4.19500 7.22982i −0.528521 0.910872i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) 0.591160 + 0.656549i 0.0733243 + 0.0814349i
\(66\) 0.169186 + 1.59313i 0.0208254 + 0.196101i
\(67\) −1.98219 3.43326i −0.242164 0.419440i 0.719167 0.694838i \(-0.244524\pi\)
−0.961330 + 0.275398i \(0.911190\pi\)
\(68\) −3.69302 + 6.39650i −0.447844 + 0.775689i
\(69\) −4.08384 + 9.19919i −0.491636 + 1.10745i
\(70\) −2.25412 1.63771i −0.269419 0.195744i
\(71\) 15.9627 + 1.67775i 1.89443 + 0.199112i 0.979069 0.203526i \(-0.0652402\pi\)
0.915359 + 0.402639i \(0.131907\pi\)
\(72\) 0.617390 2.93578i 0.0727602 0.345985i
\(73\) −0.0562466 + 0.126332i −0.00658317 + 0.0147860i −0.916807 0.399330i \(-0.869243\pi\)
0.910224 + 0.414116i \(0.135909\pi\)
\(74\) 6.43289 + 1.36735i 0.747808 + 0.158952i
\(75\) −1.64786 0.533452i −0.190278 0.0615978i
\(76\) −4.46950 + 1.98995i −0.512686 + 0.228263i
\(77\) −0.796394 + 2.45105i −0.0907575 + 0.279323i
\(78\) −1.13607 + 1.02515i −0.128635 + 0.116075i
\(79\) −4.01236 9.01191i −0.451426 1.01392i −0.985685 0.168599i \(-0.946076\pi\)
0.534259 0.845321i \(-0.320591\pi\)
\(80\) −0.207912 0.978148i −0.0232452 0.109360i
\(81\) 5.99320 6.71428i 0.665912 0.746031i
\(82\) 6.77444 + 3.01618i 0.748112 + 0.333081i
\(83\) −11.6516 + 12.9404i −1.27893 + 1.42040i −0.420642 + 0.907227i \(0.638195\pi\)
−0.858288 + 0.513169i \(0.828472\pi\)
\(84\) 2.83238 3.90731i 0.309038 0.426322i
\(85\) −4.34140 + 5.97543i −0.470891 + 0.648126i
\(86\) −0.164855 1.56850i −0.0177768 0.169135i
\(87\) −10.0685 + 5.82755i −1.07945 + 0.624779i
\(88\) −0.801045 + 0.462484i −0.0853917 + 0.0493009i
\(89\) 9.03934 6.56747i 0.958168 0.696150i 0.00544383 0.999985i \(-0.498267\pi\)
0.952725 + 0.303835i \(0.0982672\pi\)
\(90\) 0.920881 2.85517i 0.0970694 0.300961i
\(91\) −2.34110 + 0.760668i −0.245414 + 0.0797397i
\(92\) −5.81099 −0.605838
\(93\) 1.43641 + 9.53608i 0.148948 + 0.988845i
\(94\) −8.50775 −0.877508
\(95\) −4.65302 + 1.51186i −0.477389 + 0.155113i
\(96\) 1.69381 0.361945i 0.172874 0.0369408i
\(97\) −10.3557 + 7.52384i −1.05146 + 0.763930i −0.972489 0.232947i \(-0.925163\pi\)
−0.0789699 + 0.996877i \(0.525163\pi\)
\(98\) 0.660906 0.381574i 0.0667616 0.0385448i
\(99\) −2.77490 + 0.00599835i −0.278888 + 0.000602857i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) −4.82213 + 6.63709i −0.479820 + 0.660416i −0.978470 0.206388i \(-0.933829\pi\)
0.498650 + 0.866803i \(0.333829\pi\)
\(102\) −10.3579 7.50834i −1.02558 0.743437i
\(103\) 8.42184 9.35340i 0.829828 0.921618i −0.168112 0.985768i \(-0.553767\pi\)
0.997940 + 0.0641501i \(0.0204336\pi\)
\(104\) −0.807094 0.359341i −0.0791421 0.0352363i
\(105\) 3.22529 3.58984i 0.314756 0.350333i
\(106\) −2.32322 10.9299i −0.225651 1.06161i
\(107\) 3.22774 + 7.24962i 0.312037 + 0.700847i 0.999682 0.0251998i \(-0.00802220\pi\)
−0.687645 + 0.726047i \(0.741356\pi\)
\(108\) 4.94702 + 1.58967i 0.476027 + 0.152966i
\(109\) 1.05510 3.24726i 0.101060 0.311031i −0.887725 0.460373i \(-0.847716\pi\)
0.988786 + 0.149342i \(0.0477156\pi\)
\(110\) −0.845000 + 0.376218i −0.0805676 + 0.0358710i
\(111\) −3.50831 + 10.8373i −0.332994 + 1.02863i
\(112\) 2.72536 + 0.579292i 0.257522 + 0.0547380i
\(113\) 3.50016 7.86150i 0.329268 0.739548i −0.670730 0.741702i \(-0.734019\pi\)
0.999998 + 0.00215411i \(0.000685676\pi\)
\(114\) −2.62732 8.05643i −0.246071 0.754553i
\(115\) −5.77916 0.607414i −0.538909 0.0566417i
\(116\) −5.43376 3.94786i −0.504512 0.366550i
\(117\) −1.56251 2.14086i −0.144454 0.197923i
\(118\) 6.87782 11.9127i 0.633154 1.09666i
\(119\) −10.2896 17.8222i −0.943250 1.63376i
\(120\) 1.72237 0.182910i 0.157230 0.0166973i
\(121\) −6.78795 7.53878i −0.617087 0.685344i
\(122\) 1.07890 + 3.32052i 0.0976792 + 0.300626i
\(123\) −6.41003 + 11.1303i −0.577973 + 1.00358i
\(124\) −4.69559 + 2.99189i −0.421677 + 0.268680i
\(125\) 1.00000i 0.0894427i
\(126\) 6.22382 + 5.57964i 0.554462 + 0.497074i
\(127\) −14.8583 + 13.3785i −1.31846 + 1.18715i −0.350357 + 0.936616i \(0.613940\pi\)
−0.968108 + 0.250535i \(0.919393\pi\)
\(128\) 0.587785 + 0.809017i 0.0519534 + 0.0715077i
\(129\) 2.73168 0.00295246i 0.240511 0.000259950i
\(130\) −0.765111 0.441737i −0.0671047 0.0387429i
\(131\) 11.3786 1.19594i 0.994151 0.104489i 0.406540 0.913633i \(-0.366735\pi\)
0.587611 + 0.809144i \(0.300069\pi\)
\(132\) −0.653211 1.46288i −0.0568547 0.127327i
\(133\) 1.42489 13.5569i 0.123554 1.17554i
\(134\) 2.94611 + 2.65269i 0.254506 + 0.229158i
\(135\) 4.75375 + 2.09806i 0.409138 + 0.180572i
\(136\) 1.53564 7.22464i 0.131680 0.619507i
\(137\) 3.33398 0.708659i 0.284841 0.0605448i −0.0632755 0.997996i \(-0.520155\pi\)
0.348117 + 0.937451i \(0.386821\pi\)
\(138\) 1.04125 10.0109i 0.0886373 0.852187i
\(139\) 14.6737 + 4.76776i 1.24460 + 0.404396i 0.855984 0.517002i \(-0.172952\pi\)
0.388619 + 0.921398i \(0.372952\pi\)
\(140\) 2.64987 + 0.860996i 0.223955 + 0.0727675i
\(141\) 1.52448 14.6568i 0.128384 1.23432i
\(142\) −15.6999 + 3.33712i −1.31751 + 0.280045i
\(143\) −0.169902 + 0.799328i −0.0142079 + 0.0668431i
\(144\) 0.320034 + 2.98288i 0.0266695 + 0.248573i
\(145\) −4.99133 4.49422i −0.414508 0.373224i
\(146\) 0.0144550 0.137530i 0.00119630 0.0113821i
\(147\) 0.538934 + 1.20695i 0.0444506 + 0.0995479i
\(148\) −6.54058 + 0.687442i −0.537632 + 0.0565074i
\(149\) −4.03223 2.32801i −0.330334 0.190718i 0.325656 0.945488i \(-0.394415\pi\)
−0.655989 + 0.754770i \(0.727748\pi\)
\(150\) 1.73205 0.00187204i 0.141421 0.000152851i
\(151\) 1.96190 + 2.70032i 0.159657 + 0.219749i 0.881350 0.472465i \(-0.156636\pi\)
−0.721693 + 0.692214i \(0.756636\pi\)
\(152\) 3.63581 3.27370i 0.294904 0.265532i
\(153\) 14.7910 16.4987i 1.19578 1.33384i
\(154\) 2.57718i 0.207675i
\(155\) −4.98261 + 2.48468i −0.400213 + 0.199574i
\(156\) 0.763678 1.32604i 0.0611432 0.106168i
\(157\) 0.509494 + 1.56806i 0.0406621 + 0.125145i 0.969327 0.245775i \(-0.0790424\pi\)
−0.928665 + 0.370920i \(0.879042\pi\)
\(158\) 6.60082 + 7.33095i 0.525133 + 0.583219i
\(159\) 19.2459 2.04385i 1.52630 0.162088i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) 8.09542 14.0217i 0.638008 1.10506i
\(162\) −3.62505 + 8.23766i −0.284811 + 0.647212i
\(163\) 6.11668 + 4.44403i 0.479095 + 0.348083i 0.800975 0.598697i \(-0.204315\pi\)
−0.321880 + 0.946780i \(0.604315\pi\)
\(164\) −7.37493 0.775136i −0.575885 0.0605280i
\(165\) −0.496720 1.52314i −0.0386696 0.118577i
\(166\) 7.08253 15.9076i 0.549711 1.23467i
\(167\) 10.1126 + 2.14950i 0.782536 + 0.166333i 0.581821 0.813317i \(-0.302340\pi\)
0.200715 + 0.979650i \(0.435674\pi\)
\(168\) −1.48633 + 4.59133i −0.114673 + 0.354229i
\(169\) 11.1630 4.97011i 0.858696 0.382316i
\(170\) 2.28241 7.02454i 0.175053 0.538758i
\(171\) 14.3500 3.08263i 1.09738 0.235735i
\(172\) 0.641479 + 1.44078i 0.0489123 + 0.109859i
\(173\) −1.98292 9.32891i −0.150759 0.709264i −0.986976 0.160866i \(-0.948571\pi\)
0.836218 0.548398i \(-0.184762\pi\)
\(174\) 7.77486 8.65365i 0.589411 0.656032i
\(175\) 2.54536 + 1.13327i 0.192411 + 0.0856669i
\(176\) 0.618924 0.687385i 0.0466532 0.0518136i
\(177\) 19.2903 + 13.9834i 1.44995 + 1.05106i
\(178\) −6.56747 + 9.03934i −0.492252 + 0.677527i
\(179\) 1.46336 + 13.9230i 0.109377 + 1.04065i 0.902235 + 0.431245i \(0.141926\pi\)
−0.792858 + 0.609407i \(0.791408\pi\)
\(180\) 0.00648493 + 2.99999i 0.000483358 + 0.223606i
\(181\) 2.85024 1.64559i 0.211856 0.122315i −0.390317 0.920680i \(-0.627635\pi\)
0.602174 + 0.798365i \(0.294301\pi\)
\(182\) 1.99145 1.44688i 0.147616 0.107250i
\(183\) −5.91377 + 1.26369i −0.437159 + 0.0934149i
\(184\) 5.52658 1.79570i 0.407425 0.132380i
\(185\) −6.57660 −0.483522
\(186\) −4.31291 8.62547i −0.316238 0.632450i
\(187\) −6.83185 −0.499594
\(188\) 8.09135 2.62904i 0.590123 0.191742i
\(189\) −10.7276 + 9.72234i −0.780317 + 0.707196i
\(190\) 3.95809 2.87572i 0.287150 0.208627i
\(191\) −3.37768 + 1.95011i −0.244401 + 0.141105i −0.617198 0.786808i \(-0.711732\pi\)
0.372797 + 0.927913i \(0.378399\pi\)
\(192\) −1.49906 + 0.867646i −0.108186 + 0.0626170i
\(193\) 0.105901 + 1.00758i 0.00762289 + 0.0725270i 0.997672 0.0681955i \(-0.0217242\pi\)
−0.990049 + 0.140722i \(0.955057\pi\)
\(194\) 7.52384 10.3557i 0.540180 0.743494i
\(195\) 0.898104 1.23895i 0.0643145 0.0887229i
\(196\) −0.510646 + 0.567130i −0.0364747 + 0.0405093i
\(197\) −19.3727 8.62529i −1.38025 0.614526i −0.423621 0.905839i \(-0.639241\pi\)
−0.956628 + 0.291313i \(0.905908\pi\)
\(198\) 2.63723 0.863195i 0.187420 0.0613446i
\(199\) 4.41254 + 20.7594i 0.312797 + 1.47159i 0.800896 + 0.598804i \(0.204357\pi\)
−0.488099 + 0.872788i \(0.662310\pi\)
\(200\) 0.406737 + 0.913545i 0.0287606 + 0.0645974i
\(201\) −5.09785 + 4.60011i −0.359575 + 0.324467i
\(202\) 2.53514 7.80237i 0.178372 0.548973i
\(203\) 17.0959 7.61159i 1.19990 0.534229i
\(204\) 12.1711 + 3.94010i 0.852149 + 0.275862i
\(205\) −7.25351 1.54178i −0.506607 0.107683i
\(206\) −5.11929 + 11.4981i −0.356678 + 0.801111i
\(207\) 17.0598 + 3.58765i 1.18574 + 0.249359i
\(208\) 0.878634 + 0.0923482i 0.0609223 + 0.00640320i
\(209\) −3.66111 2.65995i −0.253244 0.183993i
\(210\) −1.95811 + 4.41081i −0.135122 + 0.304375i
\(211\) 3.81192 6.60243i 0.262423 0.454530i −0.704462 0.709741i \(-0.748812\pi\)
0.966885 + 0.255211i \(0.0821451\pi\)
\(212\) 5.58704 + 9.67704i 0.383720 + 0.664622i
\(213\) −2.93583 27.6451i −0.201160 1.89421i
\(214\) −5.31002 5.89737i −0.362985 0.403136i
\(215\) 0.487361 + 1.49994i 0.0332378 + 0.102295i
\(216\) −5.19613 + 0.0168483i −0.353552 + 0.00114638i
\(217\) −0.677773 15.4983i −0.0460102 1.05210i
\(218\) 3.41437i 0.231250i
\(219\) 0.234341 + 0.0495460i 0.0158353 + 0.00334801i
\(220\) 0.687385 0.618924i 0.0463435 0.0417279i
\(221\) −3.83552 5.27914i −0.258005 0.355113i
\(222\) −0.0123117 11.3910i −0.000826305 0.764514i
\(223\) −8.06226 4.65475i −0.539889 0.311705i 0.205145 0.978732i \(-0.434233\pi\)
−0.745034 + 0.667027i \(0.767567\pi\)
\(224\) −2.77098 + 0.291242i −0.185144 + 0.0194594i
\(225\) −0.307135 + 2.98424i −0.0204757 + 0.198949i
\(226\) −0.899518 + 8.55834i −0.0598350 + 0.569292i
\(227\) 15.2356 + 13.7182i 1.01122 + 0.910509i 0.995998 0.0893754i \(-0.0284871\pi\)
0.0152243 + 0.999884i \(0.495154\pi\)
\(228\) 4.98830 + 6.85023i 0.330359 + 0.453668i
\(229\) 0.0125672 0.0591241i 0.000830466 0.00390703i −0.977730 0.209865i \(-0.932698\pi\)
0.978561 + 0.205958i \(0.0660310\pi\)
\(230\) 5.68401 1.20817i 0.374792 0.0796646i
\(231\) 4.43986 + 0.461797i 0.292122 + 0.0303840i
\(232\) 6.38777 + 2.07551i 0.419378 + 0.136264i
\(233\) 9.38457 + 3.04923i 0.614804 + 0.199762i 0.599832 0.800126i \(-0.295234\pi\)
0.0149720 + 0.999888i \(0.495234\pi\)
\(234\) 2.14760 + 1.55324i 0.140393 + 0.101539i
\(235\) 8.32184 1.76886i 0.542857 0.115388i
\(236\) −2.85996 + 13.4550i −0.186167 + 0.875848i
\(237\) −13.8122 + 10.0580i −0.897201 + 0.653337i
\(238\) 15.2934 + 13.7702i 0.991324 + 0.892592i
\(239\) −1.38664 + 13.1930i −0.0896940 + 0.853381i 0.853490 + 0.521110i \(0.174482\pi\)
−0.943184 + 0.332272i \(0.892185\pi\)
\(240\) −1.58154 + 0.706198i −0.102088 + 0.0455849i
\(241\) −6.31188 + 0.663406i −0.406584 + 0.0427337i −0.305613 0.952156i \(-0.598862\pi\)
−0.100971 + 0.994889i \(0.532195\pi\)
\(242\) 8.78534 + 5.07222i 0.564743 + 0.326054i
\(243\) −13.5419 7.72116i −0.868715 0.495313i
\(244\) −2.05219 2.82460i −0.131378 0.180827i
\(245\) −0.567130 + 0.510646i −0.0362326 + 0.0326240i
\(246\) 2.65686 12.5663i 0.169395 0.801199i
\(247\) 4.32237i 0.275026i
\(248\) 3.54123 4.29647i 0.224868 0.272826i
\(249\) 26.1359 + 15.0519i 1.65629 + 0.953876i
\(250\) 0.309017 + 0.951057i 0.0195440 + 0.0601501i
\(251\) −9.74401 10.8218i −0.615036 0.683067i 0.352496 0.935813i \(-0.385333\pi\)
−0.967533 + 0.252746i \(0.918666\pi\)
\(252\) −7.64341 3.38329i −0.481490 0.213127i
\(253\) −2.68749 4.65487i −0.168961 0.292649i
\(254\) 9.99694 17.3152i 0.627264 1.08645i
\(255\) 11.6926 + 5.19074i 0.732219 + 0.325057i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −2.13610 0.224513i −0.133246 0.0140047i 0.0376705 0.999290i \(-0.488006\pi\)
−0.170917 + 0.985285i \(0.554673\pi\)
\(258\) −2.59707 + 0.846942i −0.161686 + 0.0527283i
\(259\) 7.45305 16.7398i 0.463110 1.04016i
\(260\) 0.864168 + 0.183685i 0.0535934 + 0.0113916i
\(261\) 13.5150 + 14.9448i 0.836557 + 0.925061i
\(262\) −10.4521 + 4.65358i −0.645733 + 0.287499i
\(263\) 3.56123 10.9603i 0.219595 0.675843i −0.779201 0.626774i \(-0.784375\pi\)
0.998795 0.0490685i \(-0.0156253\pi\)
\(264\) 1.07329 + 1.18943i 0.0660567 + 0.0732041i
\(265\) 4.54491 + 10.2080i 0.279191 + 0.627074i
\(266\) 2.83417 + 13.3337i 0.173774 + 0.817543i
\(267\) −14.3958 12.9339i −0.881008 0.791541i
\(268\) −3.62165 1.61246i −0.221227 0.0984968i
\(269\) 4.26026 4.73150i 0.259753 0.288485i −0.599136 0.800648i \(-0.704489\pi\)
0.858888 + 0.512163i \(0.171156\pi\)
\(270\) −5.16942 0.526387i −0.314601 0.0320349i
\(271\) −16.8821 + 23.2362i −1.02551 + 1.41150i −0.117250 + 0.993102i \(0.537408\pi\)
−0.908264 + 0.418396i \(0.862592\pi\)
\(272\) 0.772051 + 7.34558i 0.0468125 + 0.445391i
\(273\) 2.13577 + 3.69005i 0.129263 + 0.223332i
\(274\) −2.95181 + 1.70423i −0.178326 + 0.102956i
\(275\) 0.748315 0.543682i 0.0451251 0.0327853i
\(276\) 2.10326 + 9.84272i 0.126601 + 0.592462i
\(277\) −5.59089 + 1.81659i −0.335924 + 0.109148i −0.472122 0.881533i \(-0.656512\pi\)
0.136198 + 0.990682i \(0.456512\pi\)
\(278\) −15.4288 −0.925358
\(279\) 15.6324 5.88453i 0.935888 0.352298i
\(280\) −2.78624 −0.166510
\(281\) −16.7567 + 5.44459i −0.999623 + 0.324797i −0.762715 0.646735i \(-0.776134\pi\)
−0.236908 + 0.971532i \(0.576134\pi\)
\(282\) 3.07933 + 14.4105i 0.183372 + 0.858134i
\(283\) −1.62710 + 1.18216i −0.0967211 + 0.0702720i −0.635095 0.772434i \(-0.719039\pi\)
0.538374 + 0.842706i \(0.319039\pi\)
\(284\) 13.9003 8.02533i 0.824830 0.476216i
\(285\) 4.24493 + 7.33412i 0.251448 + 0.434436i
\(286\) −0.0854191 0.812708i −0.00505094 0.0480565i
\(287\) 12.1445 16.7155i 0.716870 0.986687i
\(288\) −1.22613 2.73799i −0.0722505 0.161338i
\(289\) 25.1282 27.9077i 1.47813 1.64163i
\(290\) 6.13583 + 2.73185i 0.360308 + 0.160420i
\(291\) 16.4921 + 14.8173i 0.966786 + 0.868608i
\(292\) 0.0287516 + 0.135266i 0.00168256 + 0.00791582i
\(293\) −10.7509 24.1470i −0.628076 1.41068i −0.894606 0.446855i \(-0.852544\pi\)
0.266531 0.963826i \(-0.414123\pi\)
\(294\) −0.885526 0.981342i −0.0516450 0.0572330i
\(295\) −4.25072 + 13.0824i −0.247487 + 0.761686i
\(296\) 6.00803 2.67495i 0.349209 0.155478i
\(297\) 1.01452 + 4.69798i 0.0588683 + 0.272604i
\(298\) 4.55428 + 0.968042i 0.263822 + 0.0560771i
\(299\) 2.08813 4.69002i 0.120760 0.271231i
\(300\) −1.64670 + 0.537013i −0.0950722 + 0.0310045i
\(301\) −4.37021 0.459327i −0.251895 0.0264752i
\(302\) −2.70032 1.96190i −0.155386 0.112894i
\(303\) 12.9873 + 5.76552i 0.746102 + 0.331220i
\(304\) −2.44624 + 4.23700i −0.140301 + 0.243009i
\(305\) −1.74570 3.02364i −0.0999585 0.173133i
\(306\) −8.96874 + 20.2619i −0.512709 + 1.15829i
\(307\) −1.96862 2.18638i −0.112355 0.124783i 0.684344 0.729160i \(-0.260089\pi\)
−0.796699 + 0.604377i \(0.793422\pi\)
\(308\) 0.796394 + 2.45105i 0.0453787 + 0.139661i
\(309\) −18.8911 10.8796i −1.07468 0.618918i
\(310\) 3.97093 3.90278i 0.225534 0.221663i
\(311\) 23.9581i 1.35854i −0.733888 0.679270i \(-0.762296\pi\)
0.733888 0.679270i \(-0.237704\pi\)
\(312\) −0.316533 + 1.49713i −0.0179202 + 0.0847581i
\(313\) 14.5108 13.0656i 0.820200 0.738511i −0.147920 0.988999i \(-0.547258\pi\)
0.968120 + 0.250488i \(0.0805912\pi\)
\(314\) −0.969116 1.33387i −0.0546904 0.0752748i
\(315\) −7.24789 4.16371i −0.408372 0.234598i
\(316\) −8.54314 4.93238i −0.480589 0.277468i
\(317\) 11.5957 1.21876i 0.651279 0.0684522i 0.226873 0.973924i \(-0.427150\pi\)
0.424406 + 0.905472i \(0.360483\pi\)
\(318\) −17.6723 + 7.89112i −0.991014 + 0.442512i
\(319\) 0.649388 6.17851i 0.0363587 0.345930i
\(320\) −0.743145 0.669131i −0.0415431 0.0374055i
\(321\) 11.1112 8.09114i 0.620168 0.451603i
\(322\) −3.36626 + 15.8370i −0.187595 + 0.882563i
\(323\) 35.3463 7.51309i 1.96672 0.418040i
\(324\) 0.902051 8.95468i 0.0501139 0.497482i
\(325\) 0.840234 + 0.273009i 0.0466078 + 0.0151438i
\(326\) −7.19059 2.33636i −0.398250 0.129399i
\(327\) −5.88213 0.611810i −0.325283 0.0338332i
\(328\) 7.25351 1.54178i 0.400508 0.0851306i
\(329\) −4.92848 + 23.1867i −0.271716 + 1.27832i
\(330\) 0.943086 + 1.29510i 0.0519152 + 0.0712929i
\(331\) −25.6351 23.0820i −1.40903 1.26870i −0.917440 0.397874i \(-0.869748\pi\)
−0.491593 0.870825i \(-0.663585\pi\)
\(332\) −1.82016 + 17.3177i −0.0998942 + 0.950430i
\(333\) 19.6261 + 2.01991i 1.07551 + 0.110690i
\(334\) −10.2819 + 1.08067i −0.562599 + 0.0591316i
\(335\) −3.43326 1.98219i −0.187579 0.108299i
\(336\) −0.00521596 4.82591i −0.000284554 0.263275i
\(337\) −20.8966 28.7617i −1.13831 1.56675i −0.771221 0.636567i \(-0.780354\pi\)
−0.367091 0.930185i \(-0.619646\pi\)
\(338\) −9.08084 + 8.17642i −0.493932 + 0.444739i
\(339\) −14.5828 3.08319i −0.792027 0.167456i
\(340\) 7.38604i 0.400564i
\(341\) −4.56828 2.37768i −0.247386 0.128759i
\(342\) −12.6951 + 7.36617i −0.686473 + 0.398317i
\(343\) 5.36991 + 16.5269i 0.289948 + 0.892367i
\(344\) −1.05531 1.17204i −0.0568985 0.0631921i
\(345\) 1.06289 + 10.0087i 0.0572241 + 0.538848i
\(346\) 4.76866 + 8.25956i 0.256365 + 0.444037i
\(347\) 0.0955823 0.165553i 0.00513113 0.00888737i −0.863448 0.504437i \(-0.831700\pi\)
0.868580 + 0.495550i \(0.165033\pi\)
\(348\) −4.72021 + 10.6327i −0.253030 + 0.569971i
\(349\) 10.5179 + 7.64173i 0.563012 + 0.409052i 0.832560 0.553935i \(-0.186874\pi\)
−0.269548 + 0.962987i \(0.586874\pi\)
\(350\) −2.77098 0.291242i −0.148115 0.0155675i
\(351\) −3.06068 + 3.42147i −0.163367 + 0.182625i
\(352\) −0.376218 + 0.845000i −0.0200525 + 0.0450386i
\(353\) −4.26901 0.907407i −0.227217 0.0482964i 0.0928963 0.995676i \(-0.470388\pi\)
−0.320113 + 0.947379i \(0.603721\pi\)
\(354\) −22.6673 7.33797i −1.20475 0.390009i
\(355\) 14.6630 6.52839i 0.778232 0.346491i
\(356\) 3.45272 10.6264i 0.182994 0.563197i
\(357\) −26.4631 + 23.8794i −1.40058 + 1.26383i
\(358\) −5.69418 12.7893i −0.300947 0.675937i
\(359\) −0.474726 2.23341i −0.0250551 0.117875i 0.963843 0.266471i \(-0.0858578\pi\)
−0.988898 + 0.148596i \(0.952524\pi\)
\(360\) −0.933216 2.85116i −0.0491848 0.150269i
\(361\) 4.50951 + 2.00776i 0.237343 + 0.105672i
\(362\) −2.20222 + 2.44582i −0.115746 + 0.128549i
\(363\) −10.3124 + 14.2261i −0.541261 + 0.746678i
\(364\) −1.44688 + 1.99145i −0.0758369 + 0.104381i
\(365\) 0.0144550 + 0.137530i 0.000756609 + 0.00719865i
\(366\) 5.23383 3.02930i 0.273577 0.158344i
\(367\) −11.9566 + 6.90315i −0.624130 + 0.360341i −0.778475 0.627675i \(-0.784006\pi\)
0.154345 + 0.988017i \(0.450673\pi\)
\(368\) −4.70119 + 3.41562i −0.245067 + 0.178051i
\(369\) 21.1726 + 6.82884i 1.10220 + 0.355495i
\(370\) 6.25472 2.03228i 0.325168 0.105653i
\(371\) −31.1337 −1.61638
\(372\) 6.76724 + 6.87055i 0.350865 + 0.356221i
\(373\) 6.12207 0.316989 0.158494 0.987360i \(-0.449336\pi\)
0.158494 + 0.987360i \(0.449336\pi\)
\(374\) 6.49747 2.11116i 0.335976 0.109165i
\(375\) −1.69381 + 0.361945i −0.0874680 + 0.0186907i
\(376\) −6.88292 + 5.00073i −0.354959 + 0.257893i
\(377\) 5.13887 2.96693i 0.264665 0.152805i
\(378\) 7.19818 12.5615i 0.370234 0.646094i
\(379\) 1.84710 + 17.5740i 0.0948793 + 0.902716i 0.933639 + 0.358215i \(0.116614\pi\)
−0.838760 + 0.544501i \(0.816719\pi\)
\(380\) −2.87572 + 3.95809i −0.147521 + 0.203046i
\(381\) 28.0386 + 20.3249i 1.43646 + 1.04128i
\(382\) 2.60975 2.89842i 0.133526 0.148296i
\(383\) −2.64967 1.17971i −0.135392 0.0602804i 0.337922 0.941174i \(-0.390276\pi\)
−0.473314 + 0.880894i \(0.656943\pi\)
\(384\) 1.15758 1.28842i 0.0590723 0.0657492i
\(385\) 0.535827 + 2.52087i 0.0273083 + 0.128475i
\(386\) −0.412076 0.925537i −0.0209741 0.0471086i
\(387\) −0.993716 4.62587i −0.0505134 0.235146i
\(388\) −3.95552 + 12.1738i −0.200811 + 0.618032i
\(389\) −26.1465 + 11.6412i −1.32568 + 0.590231i −0.942736 0.333541i \(-0.891757\pi\)
−0.382944 + 0.923771i \(0.625090\pi\)
\(390\) −0.471291 + 1.45584i −0.0238648 + 0.0737192i
\(391\) 41.9823 + 8.92361i 2.12314 + 0.451286i
\(392\) 0.310401 0.697171i 0.0156776 0.0352125i
\(393\) −6.14410 18.8403i −0.309929 0.950367i
\(394\) 21.0899 + 2.21664i 1.06249 + 0.111673i
\(395\) −7.98076 5.79837i −0.401556 0.291747i
\(396\) −2.24141 + 1.63590i −0.112635 + 0.0822069i
\(397\) −9.04272 + 15.6625i −0.453841 + 0.786076i −0.998621 0.0525034i \(-0.983280\pi\)
0.544780 + 0.838579i \(0.316613\pi\)
\(398\) −10.6116 18.3798i −0.531910 0.921295i
\(399\) −23.4786 + 2.49336i −1.17540 + 0.124824i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) −8.50516 26.1762i −0.424727 1.30718i −0.903255 0.429104i \(-0.858829\pi\)
0.478528 0.878072i \(-0.341171\pi\)
\(402\) 3.42683 5.95029i 0.170915 0.296774i
\(403\) −0.727416 4.86489i −0.0362352 0.242338i
\(404\) 8.20390i 0.408159i
\(405\) 1.83313 8.81134i 0.0910889 0.437839i
\(406\) −13.9071 + 12.5220i −0.690196 + 0.621455i
\(407\) −3.57558 4.92137i −0.177235 0.243943i
\(408\) −12.7930 + 0.0138270i −0.633347 + 0.000684536i
\(409\) 7.85042 + 4.53244i 0.388178 + 0.224115i 0.681370 0.731939i \(-0.261384\pi\)
−0.293192 + 0.956053i \(0.594718\pi\)
\(410\) 7.37493 0.775136i 0.364222 0.0382813i
\(411\) −2.40705 5.39064i −0.118731 0.265900i
\(412\) 1.31562 12.5173i 0.0648160 0.616683i
\(413\) −28.4822 25.6455i −1.40152 1.26193i
\(414\) −17.3335 + 1.85972i −0.851895 + 0.0914000i
\(415\) −3.62038 + 17.0325i −0.177717 + 0.836094i
\(416\) −0.864168 + 0.183685i −0.0423693 + 0.00900588i
\(417\) 2.76464 26.5801i 0.135385 1.30163i
\(418\) 4.30389 + 1.39842i 0.210510 + 0.0683989i
\(419\) 2.52784 + 0.821344i 0.123493 + 0.0401253i 0.370112 0.928987i \(-0.379319\pi\)
−0.246619 + 0.969113i \(0.579319\pi\)
\(420\) 0.499258 4.80002i 0.0243613 0.234217i
\(421\) 21.9362 4.66269i 1.06911 0.227246i 0.360435 0.932784i \(-0.382628\pi\)
0.708671 + 0.705539i \(0.249295\pi\)
\(422\) −1.58508 + 7.45723i −0.0771607 + 0.363012i
\(423\) −25.3776 + 2.72277i −1.23390 + 0.132386i
\(424\) −8.30396 7.47692i −0.403276 0.363111i
\(425\) −0.772051 + 7.34558i −0.0374500 + 0.356313i
\(426\) 11.3350 + 25.3848i 0.549180 + 1.22990i
\(427\) 9.67460 1.01684i 0.468187 0.0492084i
\(428\) 6.87251 + 3.96785i 0.332195 + 0.191793i
\(429\) 1.41541 0.00152980i 0.0683364 7.38596e-5i
\(430\) −0.927017 1.27593i −0.0447047 0.0615308i
\(431\) −18.0880 + 16.2865i −0.871266 + 0.784491i −0.977739 0.209824i \(-0.932711\pi\)
0.106473 + 0.994316i \(0.466044\pi\)
\(432\) 4.93660 1.62171i 0.237512 0.0780248i
\(433\) 4.26954i 0.205181i 0.994724 + 0.102591i \(0.0327132\pi\)
−0.994724 + 0.102591i \(0.967287\pi\)
\(434\) 5.43385 + 14.5303i 0.260833 + 0.697479i
\(435\) −5.80577 + 10.0810i −0.278365 + 0.483349i
\(436\) −1.05510 3.24726i −0.0505301 0.155516i
\(437\) 19.0235 + 21.1277i 0.910015 + 1.01067i
\(438\) −0.238182 + 0.0252942i −0.0113808 + 0.00120860i
\(439\) 11.0448 + 19.1302i 0.527142 + 0.913036i 0.999500 + 0.0316293i \(0.0100696\pi\)
−0.472358 + 0.881407i \(0.656597\pi\)
\(440\) −0.462484 + 0.801045i −0.0220481 + 0.0381883i
\(441\) 1.84929 1.34970i 0.0880613 0.0642716i
\(442\) 5.27914 + 3.83552i 0.251103 + 0.182437i
\(443\) −35.6120 3.74298i −1.69198 0.177834i −0.791035 0.611771i \(-0.790458\pi\)
−0.900944 + 0.433936i \(0.857124\pi\)
\(444\) 3.53172 + 10.8297i 0.167608 + 0.513954i
\(445\) 4.54457 10.2073i 0.215433 0.483871i
\(446\) 9.10606 + 1.93555i 0.431185 + 0.0916511i
\(447\) −2.48377 + 7.67245i −0.117478 + 0.362895i
\(448\) 2.54536 1.13327i 0.120257 0.0535418i
\(449\) 2.17626 6.69784i 0.102704 0.316091i −0.886481 0.462766i \(-0.846857\pi\)
0.989185 + 0.146675i \(0.0468571\pi\)
\(450\) −0.630077 2.93309i −0.0297021 0.138267i
\(451\) −2.78987 6.26614i −0.131370 0.295061i
\(452\) −1.78918 8.41743i −0.0841560 0.395923i
\(453\) 3.86373 4.30045i 0.181534 0.202053i
\(454\) −18.7291 8.33872i −0.878999 0.391356i
\(455\) −1.64711 + 1.82931i −0.0772179 + 0.0857592i
\(456\) −6.86100 4.97348i −0.321296 0.232905i
\(457\) −3.49698 + 4.81318i −0.163582 + 0.225151i −0.882937 0.469491i \(-0.844437\pi\)
0.719355 + 0.694642i \(0.244437\pi\)
\(458\) 0.00631822 + 0.0601139i 0.000295231 + 0.00280894i
\(459\) −33.2992 19.0816i −1.55427 0.890654i
\(460\) −5.03247 + 2.90550i −0.234640 + 0.135469i
\(461\) −29.3438 + 21.3195i −1.36668 + 0.992949i −0.368689 + 0.929553i \(0.620193\pi\)
−0.997988 + 0.0633964i \(0.979807\pi\)
\(462\) −4.36526 + 0.932798i −0.203090 + 0.0433977i
\(463\) −23.2521 + 7.55508i −1.08062 + 0.351114i −0.794615 0.607114i \(-0.792327\pi\)
−0.286004 + 0.958228i \(0.592327\pi\)
\(464\) −6.71650 −0.311806
\(465\) 6.01200 + 7.54028i 0.278800 + 0.349672i
\(466\) −9.86753 −0.457104
\(467\) 7.01630 2.27973i 0.324675 0.105493i −0.142144 0.989846i \(-0.545400\pi\)
0.466820 + 0.884353i \(0.345400\pi\)
\(468\) −2.52247 0.813575i −0.116601 0.0376075i
\(469\) 8.93620 6.49253i 0.412635 0.299797i
\(470\) −7.36793 + 4.25388i −0.339857 + 0.196217i
\(471\) 2.47159 1.43054i 0.113885 0.0659157i
\(472\) −1.43786 13.6803i −0.0661826 0.629686i
\(473\) −0.857460 + 1.18019i −0.0394261 + 0.0542653i
\(474\) 10.0281 13.8339i 0.460607 0.635414i
\(475\) −3.27370 + 3.63581i −0.150208 + 0.166823i
\(476\) −18.8001 8.37035i −0.861702 0.383655i
\(477\) −10.4278 31.8591i −0.477458 1.45873i
\(478\) −2.75808 12.9757i −0.126152 0.593496i
\(479\) 0.583908 + 1.31148i 0.0266795 + 0.0599230i 0.926394 0.376556i \(-0.122892\pi\)
−0.899714 + 0.436479i \(0.856225\pi\)
\(480\) 1.28591 1.16036i 0.0586935 0.0529629i
\(481\) 1.79547 5.52589i 0.0818663 0.251959i
\(482\) 5.79795 2.58142i 0.264090 0.117580i
\(483\) −26.6802 8.63704i −1.21399 0.392999i
\(484\) −9.92275 2.10915i −0.451034 0.0958703i
\(485\) −5.20636 + 11.6937i −0.236409 + 0.530982i
\(486\) 15.2651 + 3.15857i 0.692439 + 0.143276i
\(487\) −3.04239 0.319768i −0.137864 0.0144901i 0.0353451 0.999375i \(-0.488747\pi\)
−0.173209 + 0.984885i \(0.555414\pi\)
\(488\) 2.82460 + 2.05219i 0.127864 + 0.0928984i
\(489\) 5.31345 11.9690i 0.240282 0.541257i
\(490\) 0.381574 0.660906i 0.0172378 0.0298567i
\(491\) 8.30873 + 14.3911i 0.374968 + 0.649463i 0.990322 0.138788i \(-0.0443205\pi\)
−0.615355 + 0.788250i \(0.710987\pi\)
\(492\) 1.35638 + 12.7723i 0.0611504 + 0.575820i
\(493\) 33.1945 + 36.8662i 1.49500 + 1.66037i
\(494\) 1.33569 + 4.11082i 0.0600954 + 0.184955i
\(495\) −2.40013 + 1.39264i −0.107878 + 0.0625946i
\(496\) −2.04023 + 5.18049i −0.0916088 + 0.232611i
\(497\) 44.7211i 2.00601i
\(498\) −29.5080 6.23879i −1.32228 0.279567i
\(499\) 8.82595 7.94692i 0.395104 0.355753i −0.447503 0.894282i \(-0.647687\pi\)
0.842607 + 0.538529i \(0.181020\pi\)
\(500\) −0.587785 0.809017i −0.0262866 0.0361803i
\(501\) −0.0193541 17.9068i −0.000864678 0.800018i
\(502\) 12.6112 + 7.28110i 0.562867 + 0.324971i
\(503\) 16.6672 1.75179i 0.743152 0.0781084i 0.274617 0.961554i \(-0.411449\pi\)
0.468534 + 0.883445i \(0.344782\pi\)
\(504\) 8.31481 + 0.855753i 0.370371 + 0.0381183i
\(505\) −0.857541 + 8.15896i −0.0381601 + 0.363069i
\(506\) 3.99439 + 3.59656i 0.177572 + 0.159887i
\(507\) −12.4588 17.1092i −0.553316 0.759846i
\(508\) −4.15696 + 19.5570i −0.184435 + 0.867700i
\(509\) −6.08518 + 1.29345i −0.269721 + 0.0573310i −0.340787 0.940141i \(-0.610693\pi\)
0.0710656 + 0.997472i \(0.477360\pi\)
\(510\) −12.7243 1.32348i −0.563444 0.0586047i
\(511\) −0.366445 0.119065i −0.0162106 0.00526713i
\(512\) 0.951057 + 0.309017i 0.0420312 + 0.0136568i
\(513\) −10.4153 23.1905i −0.459848 1.02389i
\(514\) 2.10093 0.446566i 0.0926680 0.0196972i
\(515\) 2.61683 12.3112i 0.115311 0.542496i
\(516\) 2.20824 1.60803i 0.0972122 0.0707895i
\(517\) 5.84810 + 5.26565i 0.257199 + 0.231583i
\(518\) −1.91538 + 18.2236i −0.0841570 + 0.800701i
\(519\) −15.0837 + 6.73524i −0.662101 + 0.295644i
\(520\) −0.878634 + 0.0923482i −0.0385307 + 0.00404974i
\(521\) −37.4177 21.6031i −1.63930 0.946450i −0.981075 0.193629i \(-0.937974\pi\)
−0.658225 0.752821i \(-0.728693\pi\)
\(522\) −17.4717 10.0370i −0.764716 0.439308i
\(523\) −0.143580 0.197621i −0.00627831 0.00864136i 0.805866 0.592098i \(-0.201700\pi\)
−0.812145 + 0.583456i \(0.801700\pi\)
\(524\) 8.50251 7.65569i 0.371434 0.334441i
\(525\) 0.998261 4.72154i 0.0435677 0.206065i
\(526\) 11.5244i 0.502487i
\(527\) 38.5184 14.4046i 1.67789 0.627473i
\(528\) −1.38832 0.799545i −0.0604187 0.0347957i
\(529\) 3.32738 + 10.2406i 0.144669 + 0.445244i
\(530\) −7.47692 8.30396i −0.324777 0.360701i
\(531\) 16.7032 37.7354i 0.724858 1.63758i
\(532\) −6.81581 11.8053i −0.295503 0.511826i
\(533\) 3.27572 5.67372i 0.141887 0.245756i
\(534\) 17.6880 + 7.85231i 0.765435 + 0.339803i
\(535\) 6.42011 + 4.66448i 0.277566 + 0.201663i
\(536\) 3.94267 + 0.414391i 0.170297 + 0.0178990i
\(537\) 23.0532 7.51801i 0.994820 0.324426i
\(538\) −2.58964 + 5.81642i −0.111647 + 0.250764i
\(539\) −0.690463 0.146762i −0.0297403 0.00632150i
\(540\) 5.07907 1.09682i 0.218569 0.0471994i
\(541\) −25.5692 + 11.3841i −1.09930 + 0.489442i −0.874531 0.484970i \(-0.838831\pi\)
−0.224773 + 0.974411i \(0.572164\pi\)
\(542\) 8.87544 27.3158i 0.381233 1.17331i
\(543\) −3.81894 4.23215i −0.163886 0.181619i
\(544\) −3.00417 6.74748i −0.128803 0.289296i
\(545\) −0.709888 3.33976i −0.0304083 0.143060i
\(546\) −3.17153 2.84946i −0.135729 0.121946i
\(547\) −17.8077 7.92851i −0.761403 0.338999i −0.0109656 0.999940i \(-0.503491\pi\)
−0.750438 + 0.660941i \(0.770157\pi\)
\(548\) 2.28071 2.53298i 0.0974269 0.108204i
\(549\) 4.28092 + 9.55943i 0.182705 + 0.407986i
\(550\) −0.543682 + 0.748315i −0.0231827 + 0.0319082i
\(551\) 3.43484 + 32.6803i 0.146329 + 1.39223i
\(552\) −5.04188 8.71104i −0.214597 0.370767i
\(553\) 23.8033 13.7428i 1.01222 0.584404i
\(554\) 4.75589 3.45536i 0.202059 0.146804i
\(555\) 2.38037 + 11.1395i 0.101041 + 0.472847i
\(556\) 14.6737 4.76776i 0.622302 0.202198i
\(557\) −9.73398 −0.412442 −0.206221 0.978505i \(-0.566117\pi\)
−0.206221 + 0.978505i \(0.566117\pi\)
\(558\) −13.0489 + 10.4272i −0.552403 + 0.441419i
\(559\) −1.39336 −0.0589328
\(560\) 2.64987 0.860996i 0.111978 0.0363837i
\(561\) 2.47275 + 11.5719i 0.104400 + 0.488564i
\(562\) 14.2541 10.3562i 0.601274 0.436851i
\(563\) 9.32645 5.38463i 0.393063 0.226935i −0.290423 0.956898i \(-0.593796\pi\)
0.683487 + 0.729963i \(0.260463\pi\)
\(564\) −7.38172 12.7537i −0.310826 0.537026i
\(565\) −0.899518 8.55834i −0.0378430 0.360052i
\(566\) 1.18216 1.62710i 0.0496898 0.0683922i
\(567\) 20.3506 + 14.6516i 0.854645 + 0.615308i
\(568\) −10.7400 + 11.9280i −0.450640 + 0.500486i
\(569\) 2.13601 + 0.951011i 0.0895460 + 0.0398685i 0.451021 0.892513i \(-0.351060\pi\)
−0.361475 + 0.932382i \(0.617727\pi\)
\(570\) −6.30354 5.66341i −0.264026 0.237214i
\(571\) −2.47172 11.6285i −0.103438 0.486639i −0.999120 0.0419432i \(-0.986645\pi\)
0.895682 0.444696i \(-0.146688\pi\)
\(572\) 0.332379 + 0.746536i 0.0138975 + 0.0312142i
\(573\) 4.52564 + 5.01533i 0.189062 + 0.209518i
\(574\) −6.38476 + 19.6503i −0.266495 + 0.820187i
\(575\) −5.30861 + 2.36354i −0.221384 + 0.0985666i
\(576\) 2.01221 + 2.22509i 0.0838419 + 0.0927121i
\(577\) 34.0608 + 7.23984i 1.41797 + 0.301398i 0.852222 0.523181i \(-0.175255\pi\)
0.565746 + 0.824579i \(0.308588\pi\)
\(578\) −15.2744 + 34.3069i −0.635332 + 1.42698i
\(579\) 1.66831 0.544062i 0.0693328 0.0226105i
\(580\) −6.67971 0.702066i −0.277360 0.0291517i
\(581\) −39.2511 28.5176i −1.62841 1.18311i
\(582\) −20.2638 8.99578i −0.839960 0.372887i
\(583\) −5.16783 + 8.95095i −0.214030 + 0.370710i
\(584\) −0.0691438 0.119761i −0.00286119 0.00495573i
\(585\) −2.42361 1.07279i −0.100204 0.0443543i
\(586\) 17.6866 + 19.6429i 0.730625 + 0.811441i
\(587\) −5.34148 16.4394i −0.220467 0.678527i −0.998720 0.0505764i \(-0.983894\pi\)
0.778254 0.627950i \(-0.216106\pi\)
\(588\) 1.14544 + 0.659669i 0.0472370 + 0.0272043i
\(589\) 26.2499 + 7.27775i 1.08161 + 0.299874i
\(590\) 13.7556i 0.566310i
\(591\) −7.59776 + 35.9356i −0.312530 + 1.47819i
\(592\) −4.88737 + 4.40061i −0.200870 + 0.180864i
\(593\) 16.8514 + 23.1939i 0.692002 + 0.952459i 0.999999 + 0.00107201i \(0.000341233\pi\)
−0.307997 + 0.951387i \(0.599659\pi\)
\(594\) −2.41662 4.15454i −0.0991551 0.170463i
\(595\) −17.8222 10.2896i −0.730639 0.421834i
\(596\) −4.63052 + 0.486687i −0.189673 + 0.0199355i
\(597\) 33.5653 14.9877i 1.37374 0.613407i
\(598\) −0.536635 + 5.10574i −0.0219446 + 0.208789i
\(599\) −6.72850 6.05836i −0.274919 0.247538i 0.520125 0.854090i \(-0.325885\pi\)
−0.795044 + 0.606552i \(0.792552\pi\)
\(600\) 1.40016 1.01959i 0.0571612 0.0416245i
\(601\) −1.31179 + 6.17149i −0.0535090 + 0.251740i −0.996770 0.0803130i \(-0.974408\pi\)
0.943261 + 0.332053i \(0.107741\pi\)
\(602\) 4.29826 0.913622i 0.175184 0.0372365i
\(603\) 9.63686 + 6.96981i 0.392443 + 0.283833i
\(604\) 3.17441 + 1.03143i 0.129165 + 0.0419683i
\(605\) −9.64793 3.13480i −0.392244 0.127448i
\(606\) −14.1333 1.47003i −0.574127 0.0597159i
\(607\) −19.7584 + 4.19977i −0.801967 + 0.170463i −0.590622 0.806948i \(-0.701118\pi\)
−0.211345 + 0.977412i \(0.567784\pi\)
\(608\) 1.01720 4.78556i 0.0412530 0.194080i
\(609\) −19.0804 26.2023i −0.773176 1.06177i
\(610\) 2.59462 + 2.33620i 0.105053 + 0.0945901i
\(611\) −0.785676 + 7.47520i −0.0317850 + 0.302414i
\(612\) 2.26851 22.0417i 0.0916992 0.890982i
\(613\) −22.8051 + 2.39692i −0.921091 + 0.0968106i −0.553191 0.833055i \(-0.686590\pi\)
−0.367900 + 0.929865i \(0.619923\pi\)
\(614\) 2.54790 + 1.47103i 0.102825 + 0.0593659i
\(615\) 0.0138822 + 12.8441i 0.000559785 + 0.517924i
\(616\) −1.51483 2.08499i −0.0610343 0.0840065i
\(617\) −31.2765 + 28.1615i −1.25914 + 1.13374i −0.274052 + 0.961715i \(0.588364\pi\)
−0.985093 + 0.172024i \(0.944969\pi\)
\(618\) 21.3285 + 4.50943i 0.857959 + 0.181396i
\(619\) 33.3033i 1.33857i 0.743004 + 0.669287i \(0.233400\pi\)
−0.743004 + 0.669287i \(0.766600\pi\)
\(620\) −2.57056 + 4.93885i −0.103236 + 0.198349i
\(621\) −0.0979055 30.1946i −0.00392881 1.21167i
\(622\) 7.40347 + 22.7855i 0.296852 + 0.913617i
\(623\) 20.8310 + 23.1351i 0.834574 + 0.926889i
\(624\) −0.161597 1.52167i −0.00646904 0.0609154i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −9.76311 + 16.9102i −0.390212 + 0.675868i
\(627\) −3.18034 + 7.16398i −0.127010 + 0.286102i
\(628\) 1.33387 + 0.969116i 0.0532273 + 0.0386719i
\(629\) 48.3089 + 5.07747i 1.92620 + 0.202452i
\(630\) 8.17981 + 1.72020i 0.325891 + 0.0685344i
\(631\) 16.1310 36.2308i 0.642164 1.44232i −0.239712 0.970844i \(-0.577053\pi\)
0.881876 0.471481i \(-0.156280\pi\)
\(632\) 9.64920 + 2.05100i 0.383825 + 0.0815844i
\(633\) −12.5630 4.06695i −0.499333 0.161647i
\(634\) −10.6515 + 4.74237i −0.423027 + 0.188344i
\(635\) −6.17845 + 19.0153i −0.245184 + 0.754599i
\(636\) 14.3689 12.9659i 0.569763 0.514133i
\(637\) −0.274231 0.615933i −0.0108654 0.0244041i
\(638\) 1.29166 + 6.07679i 0.0511374 + 0.240582i
\(639\) −45.7630 + 14.9787i −1.81036 + 0.592550i
\(640\) 0.913545 + 0.406737i 0.0361111 + 0.0160777i
\(641\) 24.4509 27.1554i 0.965751 1.07258i −0.0315752 0.999501i \(-0.510052\pi\)
0.997327 0.0730741i \(-0.0232810\pi\)
\(642\) −8.06710 + 11.1287i −0.318383 + 0.439214i
\(643\) −2.53221 + 3.48529i −0.0998607 + 0.137447i −0.856023 0.516937i \(-0.827072\pi\)
0.756162 + 0.654384i \(0.227072\pi\)
\(644\) −1.69240 16.1021i −0.0666900 0.634513i
\(645\) 2.36422 1.36839i 0.0930913 0.0538805i
\(646\) −31.2947 + 18.0680i −1.23127 + 0.710876i
\(647\) 22.6948 16.4887i 0.892224 0.648239i −0.0442327 0.999021i \(-0.514084\pi\)
0.936457 + 0.350782i \(0.114084\pi\)
\(648\) 1.90925 + 8.79516i 0.0750023 + 0.345506i
\(649\) −12.1008 + 3.93178i −0.474997 + 0.154336i
\(650\) −0.883474 −0.0346527
\(651\) −26.0059 + 6.75755i −1.01925 + 0.264849i
\(652\) 7.56063 0.296097
\(653\) 21.2549 6.90613i 0.831768 0.270258i 0.137978 0.990435i \(-0.455940\pi\)
0.693790 + 0.720177i \(0.255940\pi\)
\(654\) 5.78330 1.23581i 0.226145 0.0483241i
\(655\) 9.25617 6.72500i 0.361668 0.262768i
\(656\) −6.42206 + 3.70778i −0.250739 + 0.144764i
\(657\) −0.000896786 0.414862i −3.49869e−5 0.0161853i
\(658\) −2.47781 23.5748i −0.0965952 0.919042i
\(659\) −11.1144 + 15.2977i −0.432955 + 0.595912i −0.968628 0.248513i \(-0.920058\pi\)
0.535673 + 0.844426i \(0.320058\pi\)
\(660\) −1.29714 0.940284i −0.0504909 0.0366005i
\(661\) −5.96530 + 6.62514i −0.232023 + 0.257688i −0.847902 0.530153i \(-0.822134\pi\)
0.615879 + 0.787841i \(0.288801\pi\)
\(662\) 31.5132 + 14.0306i 1.22479 + 0.545313i
\(663\) −7.55362 + 8.40740i −0.293358 + 0.326516i
\(664\) −3.62038 17.0325i −0.140498 0.660990i
\(665\) −5.54448 12.4531i −0.215006 0.482910i
\(666\) −19.2898 + 4.14377i −0.747463 + 0.160568i
\(667\) −12.0608 + 37.1193i −0.466996 + 1.43726i
\(668\) 9.44470 4.20505i 0.365426 0.162698i
\(669\) −4.96617 + 15.3407i −0.192003 + 0.593106i
\(670\) 3.87776 + 0.824243i 0.149811 + 0.0318433i
\(671\) 1.31353 2.95023i 0.0507082 0.113892i
\(672\) 1.49625 + 4.58810i 0.0577191 + 0.176990i
\(673\) −24.5319 2.57841i −0.945636 0.0993903i −0.380858 0.924634i \(-0.624371\pi\)
−0.564778 + 0.825243i \(0.691038\pi\)
\(674\) 28.7617 + 20.8966i 1.10786 + 0.804908i
\(675\) 5.16590 0.559899i 0.198836 0.0215505i
\(676\) 6.10974 10.5824i 0.234990 0.407014i
\(677\) 7.16529 + 12.4107i 0.275385 + 0.476980i 0.970232 0.242177i \(-0.0778615\pi\)
−0.694847 + 0.719157i \(0.744528\pi\)
\(678\) 14.8218 1.57403i 0.569227 0.0604503i
\(679\) −23.8644 26.5041i −0.915832 1.01713i
\(680\) −2.28241 7.02454i −0.0875265 0.269379i
\(681\) 17.7216 30.7715i 0.679093 1.17916i
\(682\) 5.07943 + 0.849635i 0.194502 + 0.0325342i
\(683\) 28.7786i 1.10118i −0.834775 0.550591i \(-0.814402\pi\)
0.834775 0.550591i \(-0.185598\pi\)
\(684\) 9.79751 10.9286i 0.374617 0.417867i
\(685\) 2.53298 2.28071i 0.0967802 0.0871413i
\(686\) −10.2142 14.0586i −0.389979 0.536760i
\(687\) −0.104694 0.000113155i −0.00399432 4.31715e-6i
\(688\) 1.36584 + 0.788567i 0.0520721 + 0.0300639i
\(689\) −9.81793 + 1.03191i −0.374033 + 0.0393125i
\(690\) −4.10371 9.19034i −0.156226 0.349870i
\(691\) −4.08844 + 38.8989i −0.155532 + 1.47978i 0.586789 + 0.809740i \(0.300392\pi\)
−0.742321 + 0.670045i \(0.766275\pi\)
\(692\) −7.08761 6.38172i −0.269431 0.242596i
\(693\) −0.824787 7.68743i −0.0313311 0.292021i
\(694\) −0.0397453 + 0.186987i −0.00150871 + 0.00709793i
\(695\) 15.0916 3.20783i 0.572459 0.121680i
\(696\) 1.20351 11.5709i 0.0456189 0.438594i
\(697\) 52.0908 + 16.9253i 1.97308 + 0.641093i
\(698\) −12.3646 4.01749i −0.468006 0.152064i
\(699\) 1.76813 16.9994i 0.0668768 0.642974i
\(700\) 2.72536 0.579292i 0.103009 0.0218952i
\(701\) −7.16738 + 33.7199i −0.270708 + 1.27358i 0.607122 + 0.794609i \(0.292324\pi\)
−0.877830 + 0.478973i \(0.841009\pi\)
\(702\) 1.85358 4.19981i 0.0699590 0.158512i
\(703\) 23.9113 + 21.5298i 0.901832 + 0.812013i
\(704\) 0.0966854 0.919901i 0.00364397 0.0346701i
\(705\) −6.00816 13.4554i −0.226280 0.506759i
\(706\) 4.34048 0.456202i 0.163356 0.0171694i
\(707\) −19.7957 11.4290i −0.744492 0.429833i
\(708\) 23.8254 0.0257511i 0.895415 0.000967785i
\(709\) 15.7121 + 21.6259i 0.590082 + 0.812178i 0.994755 0.102284i \(-0.0326149\pi\)
−0.404674 + 0.914461i \(0.632615\pi\)
\(710\) −11.9280 + 10.7400i −0.447649 + 0.403065i
\(711\) 22.0356 + 19.7549i 0.826400 + 0.740865i
\(712\) 11.1732i 0.418735i
\(713\) 24.9668 + 20.5781i 0.935013 + 0.770654i
\(714\) 17.7888 30.8882i 0.665730 1.15596i
\(715\) 0.252524 + 0.777189i 0.00944386 + 0.0290652i
\(716\) 9.36760 + 10.4038i 0.350084 + 0.388807i
\(717\) 22.8483 2.42642i 0.853284 0.0906163i
\(718\) 1.14165 + 1.97740i 0.0426061 + 0.0737960i
\(719\) 14.9203 25.8428i 0.556435 0.963773i −0.441356 0.897332i \(-0.645502\pi\)
0.997790 0.0664407i \(-0.0211643\pi\)
\(720\) 1.76860 + 2.42323i 0.0659118 + 0.0903086i
\(721\) 28.3709 + 20.6126i 1.05659 + 0.767655i
\(722\) −4.90924 0.515981i −0.182703 0.0192028i
\(723\) 3.40824 + 10.4510i 0.126754 + 0.388678i
\(724\) 1.33864 3.00663i 0.0497501 0.111741i
\(725\) −6.56973 1.39644i −0.243994 0.0518625i
\(726\) 5.41157 16.7166i 0.200842 0.620410i
\(727\) 29.9011 13.3128i 1.10897 0.493745i 0.231237 0.972897i \(-0.425723\pi\)
0.877732 + 0.479153i \(0.159056\pi\)
\(728\) 0.760668 2.34110i 0.0281922 0.0867668i
\(729\) −8.17676 + 25.7321i −0.302843 + 0.953040i
\(730\) −0.0562466 0.126332i −0.00208178 0.00467576i
\(731\) −2.42192 11.3942i −0.0895778 0.421431i
\(732\) −4.04156 + 4.49838i −0.149380 + 0.166265i
\(733\) 36.6446 + 16.3152i 1.35350 + 0.602616i 0.949967 0.312350i \(-0.101116\pi\)
0.403531 + 0.914966i \(0.367783\pi\)
\(734\) 9.23822 10.2601i 0.340989 0.378706i
\(735\) 1.07021 + 0.775786i 0.0394752 + 0.0286153i
\(736\) 3.41562 4.70119i 0.125901 0.173288i
\(737\) −0.383299 3.64684i −0.0141190 0.134333i
\(738\) −22.2466 + 0.0480894i −0.818909 + 0.00177019i
\(739\) −0.0469575 + 0.0271109i −0.00172736 + 0.000997292i −0.500863 0.865526i \(-0.666984\pi\)
0.499136 + 0.866524i \(0.333651\pi\)
\(740\) −5.32058 + 3.86563i −0.195589 + 0.142103i
\(741\) −7.32128 + 1.56446i −0.268954 + 0.0574718i
\(742\) 29.6099 9.62084i 1.08701 0.353192i
\(743\) 16.6969 0.612549 0.306275 0.951943i \(-0.400917\pi\)
0.306275 + 0.951943i \(0.400917\pi\)
\(744\) −8.55915 4.44309i −0.313794 0.162891i
\(745\) −4.65602 −0.170583
\(746\) −5.82243 + 1.89182i −0.213174 + 0.0692645i
\(747\) 16.0354 49.7172i 0.586703 1.81906i
\(748\) −5.52708 + 4.01566i −0.202090 + 0.146827i
\(749\) −19.1485 + 11.0554i −0.699671 + 0.403955i
\(750\) 1.49906 0.867646i 0.0547380 0.0316820i
\(751\) 1.99349 + 18.9668i 0.0727433 + 0.692107i 0.968745 + 0.248057i \(0.0797920\pi\)
−0.896002 + 0.444050i \(0.853541\pi\)
\(752\) 5.00073 6.88292i 0.182358 0.250994i
\(753\) −14.8033 + 20.4214i −0.539463 + 0.744197i
\(754\) −3.97053 + 4.40971i −0.144598 + 0.160592i
\(755\) 3.04921 + 1.35760i 0.110972 + 0.0494080i
\(756\) −2.96416 + 14.1711i −0.107805 + 0.515396i
\(757\) −6.41489 30.1797i −0.233153 1.09690i −0.926500 0.376295i \(-0.877198\pi\)
0.693347 0.720604i \(-0.256135\pi\)
\(758\) −7.18736 16.1431i −0.261057 0.586343i
\(759\) −6.91175 + 6.23690i −0.250880 + 0.226385i
\(760\) 1.51186 4.65302i 0.0548408 0.168783i
\(761\) 3.44955 1.53584i 0.125046 0.0556741i −0.343260 0.939240i \(-0.611531\pi\)
0.468306 + 0.883566i \(0.344864\pi\)
\(762\) −32.9470 10.6658i −1.19354 0.386380i
\(763\) 9.30538 + 1.97792i 0.336877 + 0.0716055i
\(764\) −1.58636 + 3.56302i −0.0573925 + 0.128906i
\(765\) 4.56007 21.6838i 0.164870 0.783980i
\(766\) 2.88454 + 0.303177i 0.104223 + 0.0109542i
\(767\) −9.83178 7.14320i −0.355005 0.257926i
\(768\) −0.702778 + 1.58307i −0.0253593 + 0.0571240i
\(769\) −7.61362 + 13.1872i −0.274554 + 0.475542i −0.970023 0.243015i \(-0.921864\pi\)
0.695468 + 0.718557i \(0.255197\pi\)
\(770\) −1.28859 2.23191i −0.0464376 0.0804323i
\(771\) 0.392867 + 3.69941i 0.0141487 + 0.133231i
\(772\) 0.677914 + 0.752900i 0.0243987 + 0.0270975i
\(773\) 9.03296 + 27.8006i 0.324893