Properties

Label 930.2.br.b.11.16
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 11.16
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.b.761.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.951057 - 0.309017i) q^{2} +(-0.650557 - 1.60523i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-1.11476 - 1.32564i) q^{6} +(-0.239608 - 2.27972i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-2.15355 + 2.08859i) q^{9} +O(q^{10})\) \(q+(0.951057 - 0.309017i) q^{2} +(-0.650557 - 1.60523i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-1.11476 - 1.32564i) q^{6} +(-0.239608 - 2.27972i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-2.15355 + 2.08859i) q^{9} +(0.669131 - 0.743145i) q^{10} +(-4.80333 - 2.13858i) q^{11} +(-1.46984 - 0.916274i) q^{12} +(0.102539 + 0.482408i) q^{13} +(-0.932352 - 2.09410i) q^{14} +(-1.36602 - 1.06490i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-0.224735 + 0.100059i) q^{17} +(-1.40274 + 2.65185i) q^{18} +(-2.25806 - 0.479966i) q^{19} +(0.406737 - 0.913545i) q^{20} +(-3.50360 + 1.86771i) q^{21} +(-5.22910 - 0.549600i) q^{22} +(-0.241527 - 0.175480i) q^{23} +(-1.68105 - 0.417222i) q^{24} +(0.500000 - 0.866025i) q^{25} +(0.246593 + 0.427111i) q^{26} +(4.75368 + 2.09821i) q^{27} +(-1.53383 - 1.70349i) q^{28} +(-0.303900 - 0.935309i) q^{29} +(-1.62823 - 0.590653i) q^{30} +(4.86007 - 2.71656i) q^{31} -1.00000i q^{32} +(-0.308084 + 9.10174i) q^{33} +(-0.182816 + 0.164608i) q^{34} +(-1.34736 - 1.85449i) q^{35} +(-0.514618 + 2.95553i) q^{36} +(4.06789 + 2.34860i) q^{37} +(-2.29586 + 0.241305i) q^{38} +(0.707670 - 0.478433i) q^{39} +(0.104528 - 0.994522i) q^{40} +(-7.06425 - 6.36068i) q^{41} +(-2.75497 + 2.85897i) q^{42} +(0.238577 - 1.12242i) q^{43} +(-5.14300 + 1.09318i) q^{44} +(-0.820736 + 2.88555i) q^{45} +(-0.283933 - 0.0922553i) q^{46} +(-3.93760 - 1.27940i) q^{47} +(-1.72770 + 0.122671i) q^{48} +(1.70734 - 0.362906i) q^{49} +(0.207912 - 0.978148i) q^{50} +(0.306821 + 0.295659i) q^{51} +(0.366508 + 0.330005i) q^{52} +(-0.504232 + 4.79745i) q^{53} +(5.16941 + 0.526546i) q^{54} +(-5.22910 + 0.549600i) q^{55} +(-1.98517 - 1.14614i) q^{56} +(0.698539 + 3.93696i) q^{57} +(-0.578053 - 0.795622i) q^{58} +(10.8675 - 9.78515i) q^{59} +(-1.73106 - 0.0585945i) q^{60} +11.6416i q^{61} +(3.78274 - 4.08544i) q^{62} +(5.27740 + 4.40905i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(0.330005 + 0.366508i) q^{65} +(2.51959 + 8.75147i) q^{66} +(-4.94015 - 8.55660i) q^{67} +(-0.123002 + 0.213045i) q^{68} +(-0.124559 + 0.501868i) q^{69} +(-1.85449 - 1.34736i) q^{70} +(-6.46130 - 0.679110i) q^{71} +(0.423879 + 2.96990i) q^{72} +(-0.845091 + 1.89810i) q^{73} +(4.59455 + 0.976602i) q^{74} +(-1.71545 - 0.239219i) q^{75} +(-2.10893 + 0.938954i) q^{76} +(-3.72444 + 11.4627i) q^{77} +(0.525191 - 0.673699i) q^{78} +(-1.47932 - 3.32261i) q^{79} +(-0.207912 - 0.978148i) q^{80} +(0.275576 - 8.99578i) q^{81} +(-8.68406 - 3.86639i) q^{82} +(-0.758476 + 0.842373i) q^{83} +(-1.73666 + 3.57037i) q^{84} +(-0.144597 + 0.199021i) q^{85} +(-0.119946 - 1.14121i) q^{86} +(-1.30369 + 1.09630i) q^{87} +(-4.55348 + 2.62895i) q^{88} +(11.3890 - 8.27458i) q^{89} +(0.111118 + 2.99794i) q^{90} +(1.07518 - 0.349348i) q^{91} -0.298544 q^{92} +(-7.52246 - 6.03428i) q^{93} -4.14024 q^{94} +(-2.19552 + 0.713368i) q^{95} +(-1.60523 + 0.650557i) q^{96} +(-2.96658 + 2.15535i) q^{97} +(1.51163 - 0.872742i) q^{98} +(14.8108 - 5.42665i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176q + 44q^{4} + 4q^{7} + 4q^{9} + O(q^{10}) \) \( 176q + 44q^{4} + 4q^{7} + 4q^{9} + 22q^{10} + 38q^{13} - 44q^{16} + 4q^{18} + 8q^{19} - 42q^{21} + 4q^{22} + 88q^{25} + 30q^{27} + 36q^{28} + 32q^{31} - 70q^{33} + 14q^{34} - 4q^{36} + 42q^{37} + 58q^{39} - 22q^{40} - 12q^{42} - 46q^{43} + 16q^{45} + 10q^{46} + 38q^{49} + 38q^{51} + 2q^{52} + 4q^{55} + 78q^{57} - 40q^{58} + 16q^{63} + 44q^{64} + 34q^{66} - 76q^{67} + 148q^{69} - 8q^{70} - 4q^{72} - 52q^{73} + 12q^{76} + 60q^{78} + 8q^{79} - 108q^{81} - 40q^{82} - 8q^{84} + 28q^{87} + 6q^{88} + 24q^{90} - 20q^{91} - 28q^{93} - 20q^{94} - 112q^{97} - 132q^{99} + O(q^{100}) \)

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
\(3\) −0.650557 1.60523i −0.375599 0.926782i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) −1.11476 1.32564i −0.455099 0.541188i
\(7\) −0.239608 2.27972i −0.0905632 0.861652i −0.941643 0.336614i \(-0.890718\pi\)
0.851079 0.525037i \(-0.175949\pi\)
\(8\) 0.587785 0.809017i 0.207813 0.286031i
\(9\) −2.15355 + 2.08859i −0.717851 + 0.696197i
\(10\) 0.669131 0.743145i 0.211598 0.235003i
\(11\) −4.80333 2.13858i −1.44826 0.644806i −0.476156 0.879361i \(-0.657970\pi\)
−0.972103 + 0.234555i \(0.924637\pi\)
\(12\) −1.46984 0.916274i −0.424307 0.264506i
\(13\) 0.102539 + 0.482408i 0.0284392 + 0.133796i 0.990077 0.140527i \(-0.0448797\pi\)
−0.961638 + 0.274323i \(0.911546\pi\)
\(14\) −0.932352 2.09410i −0.249181 0.559671i
\(15\) −1.36602 1.06490i −0.352704 0.274955i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) −0.224735 + 0.100059i −0.0545063 + 0.0242678i −0.433809 0.901005i \(-0.642831\pi\)
0.379302 + 0.925273i \(0.376164\pi\)
\(18\) −1.40274 + 2.65185i −0.330629 + 0.625048i
\(19\) −2.25806 0.479966i −0.518035 0.110112i −0.0585276 0.998286i \(-0.518641\pi\)
−0.459507 + 0.888174i \(0.651974\pi\)
\(20\) 0.406737 0.913545i 0.0909491 0.204275i
\(21\) −3.50360 + 1.86771i −0.764548 + 0.407568i
\(22\) −5.22910 0.549600i −1.11485 0.117175i
\(23\) −0.241527 0.175480i −0.0503620 0.0365901i 0.562319 0.826920i \(-0.309909\pi\)
−0.612681 + 0.790330i \(0.709909\pi\)
\(24\) −1.68105 0.417222i −0.343143 0.0851650i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 0.246593 + 0.427111i 0.0483608 + 0.0837634i
\(27\) 4.75368 + 2.09821i 0.914847 + 0.403801i
\(28\) −1.53383 1.70349i −0.289867 0.321930i
\(29\) −0.303900 0.935309i −0.0564329 0.173683i 0.918867 0.394567i \(-0.129106\pi\)
−0.975300 + 0.220885i \(0.929106\pi\)
\(30\) −1.62823 0.590653i −0.297273 0.107838i
\(31\) 4.86007 2.71656i 0.872895 0.487908i
\(32\) 1.00000i 0.176777i
\(33\) −0.308084 + 9.10174i −0.0536306 + 1.58441i
\(34\) −0.182816 + 0.164608i −0.0313527 + 0.0282301i
\(35\) −1.34736 1.85449i −0.227746 0.313466i
\(36\) −0.514618 + 2.95553i −0.0857696 + 0.492589i
\(37\) 4.06789 + 2.34860i 0.668757 + 0.386107i 0.795606 0.605815i \(-0.207153\pi\)
−0.126848 + 0.991922i \(0.540486\pi\)
\(38\) −2.29586 + 0.241305i −0.372438 + 0.0391448i
\(39\) 0.707670 0.478433i 0.113318 0.0766105i
\(40\) 0.104528 0.994522i 0.0165274 0.157248i
\(41\) −7.06425 6.36068i −1.10325 0.993372i −0.103252 0.994655i \(-0.532925\pi\)
−0.999999 + 0.00128345i \(0.999591\pi\)
\(42\) −2.75497 + 2.85897i −0.425101 + 0.441149i
\(43\) 0.238577 1.12242i 0.0363827 0.171167i −0.956205 0.292698i \(-0.905447\pi\)
0.992588 + 0.121531i \(0.0387803\pi\)
\(44\) −5.14300 + 1.09318i −0.775337 + 0.164803i
\(45\) −0.820736 + 2.88555i −0.122348 + 0.430152i
\(46\) −0.283933 0.0922553i −0.0418636 0.0136023i
\(47\) −3.93760 1.27940i −0.574358 0.186620i 0.00741320 0.999973i \(-0.497640\pi\)
−0.581772 + 0.813352i \(0.697640\pi\)
\(48\) −1.72770 + 0.122671i −0.249372 + 0.0177061i
\(49\) 1.70734 0.362906i 0.243906 0.0518438i
\(50\) 0.207912 0.978148i 0.0294032 0.138331i
\(51\) 0.306821 + 0.295659i 0.0429635 + 0.0414005i
\(52\) 0.366508 + 0.330005i 0.0508255 + 0.0457635i
\(53\) −0.504232 + 4.79745i −0.0692616 + 0.658980i 0.903724 + 0.428115i \(0.140822\pi\)
−0.972986 + 0.230865i \(0.925844\pi\)
\(54\) 5.16941 + 0.526546i 0.703467 + 0.0716539i
\(55\) −5.22910 + 0.549600i −0.705091 + 0.0741081i
\(56\) −1.98517 1.14614i −0.265279 0.153159i
\(57\) 0.698539 + 3.93696i 0.0925238 + 0.521463i
\(58\) −0.578053 0.795622i −0.0759021 0.104470i
\(59\) 10.8675 9.78515i 1.41483 1.27392i 0.502430 0.864618i \(-0.332440\pi\)
0.912400 0.409300i \(-0.134227\pi\)
\(60\) −1.73106 0.0585945i −0.223479 0.00756452i
\(61\) 11.6416i 1.49056i 0.666753 + 0.745279i \(0.267684\pi\)
−0.666753 + 0.745279i \(0.732316\pi\)
\(62\) 3.78274 4.08544i 0.480409 0.518852i
\(63\) 5.27740 + 4.40905i 0.664890 + 0.555487i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) 0.330005 + 0.366508i 0.0409321 + 0.0454597i
\(66\) 2.51959 + 8.75147i 0.310140 + 1.07723i
\(67\) −4.94015 8.55660i −0.603536 1.04535i −0.992281 0.124010i \(-0.960425\pi\)
0.388745 0.921345i \(-0.372909\pi\)
\(68\) −0.123002 + 0.213045i −0.0149162 + 0.0258355i
\(69\) −0.124559 + 0.501868i −0.0149952 + 0.0604178i
\(70\) −1.85449 1.34736i −0.221654 0.161041i
\(71\) −6.46130 0.679110i −0.766816 0.0805956i −0.286959 0.957943i \(-0.592644\pi\)
−0.479856 + 0.877347i \(0.659311\pi\)
\(72\) 0.423879 + 2.96990i 0.0499546 + 0.350006i
\(73\) −0.845091 + 1.89810i −0.0989104 + 0.222156i −0.956222 0.292641i \(-0.905466\pi\)
0.857312 + 0.514797i \(0.172133\pi\)
\(74\) 4.59455 + 0.976602i 0.534106 + 0.113528i
\(75\) −1.71545 0.239219i −0.198083 0.0276226i
\(76\) −2.10893 + 0.938954i −0.241910 + 0.107705i
\(77\) −3.72444 + 11.4627i −0.424439 + 1.30629i
\(78\) 0.525191 0.673699i 0.0594661 0.0762814i
\(79\) −1.47932 3.32261i −0.166437 0.373823i 0.811002 0.585044i \(-0.198923\pi\)
−0.977438 + 0.211221i \(0.932256\pi\)
\(80\) −0.207912 0.978148i −0.0232452 0.109360i
\(81\) 0.275576 8.99578i 0.0306196 0.999531i
\(82\) −8.68406 3.86639i −0.958994 0.426972i
\(83\) −0.758476 + 0.842373i −0.0832536 + 0.0924625i −0.783332 0.621603i \(-0.786482\pi\)
0.700079 + 0.714066i \(0.253148\pi\)
\(84\) −1.73666 + 3.57037i −0.189485 + 0.389560i
\(85\) −0.144597 + 0.199021i −0.0156838 + 0.0215869i
\(86\) −0.119946 1.14121i −0.0129341 0.123060i
\(87\) −1.30369 + 1.09630i −0.139770 + 0.117536i
\(88\) −4.55348 + 2.62895i −0.485402 + 0.280247i
\(89\) 11.3890 8.27458i 1.20723 0.877104i 0.212254 0.977215i \(-0.431920\pi\)
0.994976 + 0.100111i \(0.0319197\pi\)
\(90\) 0.111118 + 2.99794i 0.0117128 + 0.316011i
\(91\) 1.07518 0.349348i 0.112710 0.0366217i
\(92\) −0.298544 −0.0311254
\(93\) −7.52246 6.03428i −0.780043 0.625726i
\(94\) −4.14024 −0.427033
\(95\) −2.19552 + 0.713368i −0.225256 + 0.0731900i
\(96\) −1.60523 + 0.650557i −0.163834 + 0.0663971i
\(97\) −2.96658 + 2.15535i −0.301211 + 0.218842i −0.728116 0.685454i \(-0.759604\pi\)
0.426905 + 0.904296i \(0.359604\pi\)
\(98\) 1.51163 0.872742i 0.152698 0.0881602i
\(99\) 14.8108 5.42665i 1.48855 0.545399i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) −3.90718 + 5.37777i −0.388779 + 0.535108i −0.957884 0.287157i \(-0.907290\pi\)
0.569105 + 0.822265i \(0.307290\pi\)
\(102\) 0.383167 + 0.186376i 0.0379392 + 0.0184539i
\(103\) 4.93280 5.47843i 0.486044 0.539806i −0.449377 0.893342i \(-0.648354\pi\)
0.935421 + 0.353536i \(0.115021\pi\)
\(104\) 0.450547 + 0.200597i 0.0441798 + 0.0196701i
\(105\) −2.10035 + 3.36928i −0.204973 + 0.328808i
\(106\) 1.00294 + 4.71846i 0.0974141 + 0.458297i
\(107\) 4.02477 + 9.03979i 0.389090 + 0.873910i 0.996814 + 0.0797616i \(0.0254159\pi\)
−0.607724 + 0.794148i \(0.707917\pi\)
\(108\) 5.07911 1.09666i 0.488737 0.105526i
\(109\) 5.37727 16.5495i 0.515049 1.58516i −0.268144 0.963379i \(-0.586410\pi\)
0.783193 0.621779i \(-0.213590\pi\)
\(110\) −4.80333 + 2.13858i −0.457980 + 0.203906i
\(111\) 1.12366 8.05782i 0.106653 0.764814i
\(112\) −2.24218 0.476590i −0.211866 0.0450336i
\(113\) 4.07478 9.15212i 0.383323 0.860959i −0.614101 0.789228i \(-0.710481\pi\)
0.997424 0.0717308i \(-0.0228523\pi\)
\(114\) 1.88094 + 3.52841i 0.176166 + 0.330466i
\(115\) −0.296909 0.0312064i −0.0276869 0.00291001i
\(116\) −0.795622 0.578053i −0.0738716 0.0536709i
\(117\) −1.22838 0.824729i −0.113563 0.0762462i
\(118\) 7.31184 12.6645i 0.673109 1.16586i
\(119\) 0.281954 + 0.488358i 0.0258466 + 0.0447677i
\(120\) −1.66444 + 0.479200i −0.151942 + 0.0437448i
\(121\) 11.1380 + 12.3700i 1.01255 + 1.12455i
\(122\) 3.59746 + 11.0718i 0.325699 + 1.00240i
\(123\) −5.61469 + 15.4778i −0.506259 + 1.39558i
\(124\) 2.33513 5.05442i 0.209701 0.453900i
\(125\) 1.00000i 0.0894427i
\(126\) 6.38158 + 2.56244i 0.568516 + 0.228281i
\(127\) −3.76156 + 3.38692i −0.333784 + 0.300540i −0.818931 0.573892i \(-0.805433\pi\)
0.485147 + 0.874433i \(0.338766\pi\)
\(128\) −0.587785 0.809017i −0.0519534 0.0715077i
\(129\) −1.95695 + 0.347224i −0.172300 + 0.0305714i
\(130\) 0.427111 + 0.246593i 0.0374601 + 0.0216276i
\(131\) 6.90739 0.725996i 0.603502 0.0634306i 0.202150 0.979355i \(-0.435207\pi\)
0.401352 + 0.915924i \(0.368541\pi\)
\(132\) 5.10062 + 7.54455i 0.443952 + 0.656669i
\(133\) −0.553136 + 5.26274i −0.0479630 + 0.456337i
\(134\) −7.34250 6.61122i −0.634295 0.571122i
\(135\) 5.16592 0.559740i 0.444611 0.0481747i
\(136\) −0.0511470 + 0.240628i −0.00438582 + 0.0206337i
\(137\) 7.24675 1.54034i 0.619131 0.131600i 0.112341 0.993670i \(-0.464165\pi\)
0.506790 + 0.862069i \(0.330832\pi\)
\(138\) 0.0366229 + 0.515796i 0.00311755 + 0.0439074i
\(139\) 16.8089 + 5.46155i 1.42571 + 0.463242i 0.917413 0.397937i \(-0.130274\pi\)
0.508301 + 0.861180i \(0.330274\pi\)
\(140\) −2.18008 0.708351i −0.184251 0.0598666i
\(141\) 0.507889 + 7.15310i 0.0427720 + 0.602400i
\(142\) −6.35492 + 1.35078i −0.533293 + 0.113355i
\(143\) 0.539140 2.53645i 0.0450851 0.212109i
\(144\) 1.32088 + 2.69356i 0.110074 + 0.224463i
\(145\) −0.730840 0.658051i −0.0606930 0.0546482i
\(146\) −0.217182 + 2.06635i −0.0179741 + 0.171013i
\(147\) −1.69327 2.50459i −0.139659 0.206575i
\(148\) 4.67147 0.490991i 0.383992 0.0403592i
\(149\) 8.29682 + 4.79017i 0.679702 + 0.392426i 0.799743 0.600343i \(-0.204969\pi\)
−0.120041 + 0.992769i \(0.538303\pi\)
\(150\) −1.70541 + 0.302593i −0.139246 + 0.0247066i
\(151\) −5.12296 7.05114i −0.416900 0.573814i 0.547984 0.836489i \(-0.315395\pi\)
−0.964884 + 0.262675i \(0.915395\pi\)
\(152\) −1.71556 + 1.54469i −0.139150 + 0.125291i
\(153\) 0.274998 0.684862i 0.0222323 0.0553678i
\(154\) 12.0525i 0.971222i
\(155\) 2.85067 4.78264i 0.228971 0.384151i
\(156\) 0.291302 0.803018i 0.0233228 0.0642929i
\(157\) −4.28458 13.1866i −0.341946 1.05240i −0.963198 0.268792i \(-0.913376\pi\)
0.621252 0.783611i \(-0.286624\pi\)
\(158\) −2.43366 2.70286i −0.193612 0.215028i
\(159\) 8.02906 2.31160i 0.636746 0.183322i
\(160\) −0.500000 0.866025i −0.0395285 0.0684653i
\(161\) −0.342173 + 0.592660i −0.0269670 + 0.0467082i
\(162\) −2.51776 8.64065i −0.197814 0.678874i
\(163\) 0.740024 + 0.537659i 0.0579631 + 0.0421127i 0.616390 0.787441i \(-0.288595\pi\)
−0.558426 + 0.829554i \(0.688595\pi\)
\(164\) −9.45382 0.993636i −0.738219 0.0775900i
\(165\) 4.28406 + 8.03638i 0.333514 + 0.625631i
\(166\) −0.461046 + 1.03553i −0.0357841 + 0.0803724i
\(167\) 2.27172 + 0.482869i 0.175791 + 0.0373655i 0.294966 0.955508i \(-0.404692\pi\)
−0.119175 + 0.992873i \(0.538025\pi\)
\(168\) −0.548354 + 3.93228i −0.0423064 + 0.303382i
\(169\) 11.6539 5.18865i 0.896453 0.399127i
\(170\) −0.0760193 + 0.233963i −0.00583041 + 0.0179442i
\(171\) 5.86530 3.68253i 0.448531 0.281610i
\(172\) −0.466728 1.04829i −0.0355877 0.0799312i
\(173\) 3.73588 + 17.5759i 0.284034 + 1.33627i 0.856416 + 0.516287i \(0.172686\pi\)
−0.572382 + 0.819987i \(0.693980\pi\)
\(174\) −0.901103 + 1.44551i −0.0683124 + 0.109584i
\(175\) −2.09410 0.932352i −0.158299 0.0704792i
\(176\) −3.51822 + 3.90738i −0.265196 + 0.294530i
\(177\) −22.7774 11.0791i −1.71205 0.832757i
\(178\) 8.27458 11.3890i 0.620206 0.853640i
\(179\) 0.107315 + 1.02103i 0.00802109 + 0.0763156i 0.997800 0.0662937i \(-0.0211174\pi\)
−0.989779 + 0.142609i \(0.954451\pi\)
\(180\) 1.03209 + 2.81687i 0.0769277 + 0.209957i
\(181\) −0.0640963 + 0.0370060i −0.00476424 + 0.00275063i −0.502380 0.864647i \(-0.667542\pi\)
0.497616 + 0.867397i \(0.334209\pi\)
\(182\) 0.914606 0.664500i 0.0677951 0.0492560i
\(183\) 18.6875 7.57354i 1.38142 0.559852i
\(184\) −0.283933 + 0.0922553i −0.0209318 + 0.00680115i
\(185\) 4.69720 0.345345
\(186\) −9.01898 3.41438i −0.661304 0.250354i
\(187\) 1.29346 0.0945873
\(188\) −3.93760 + 1.27940i −0.287179 + 0.0933102i
\(189\) 3.64430 11.3398i 0.265084 0.824849i
\(190\) −1.86762 + 1.35691i −0.135492 + 0.0984403i
\(191\) −1.20866 + 0.697818i −0.0874553 + 0.0504924i −0.543090 0.839675i \(-0.682746\pi\)
0.455635 + 0.890167i \(0.349412\pi\)
\(192\) −1.32564 + 1.11476i −0.0956695 + 0.0804509i
\(193\) −1.68734 16.0539i −0.121457 1.15559i −0.870190 0.492716i \(-0.836004\pi\)
0.748733 0.662872i \(-0.230663\pi\)
\(194\) −2.15535 + 2.96658i −0.154745 + 0.212988i
\(195\) 0.373644 0.768170i 0.0267572 0.0550098i
\(196\) 1.16796 1.29715i 0.0834255 0.0926533i
\(197\) 20.1991 + 8.99323i 1.43913 + 0.640741i 0.970158 0.242473i \(-0.0779585\pi\)
0.468970 + 0.883214i \(0.344625\pi\)
\(198\) 12.4090 9.73785i 0.881871 0.692039i
\(199\) 1.76623 + 8.30945i 0.125205 + 0.589041i 0.995356 + 0.0962575i \(0.0306872\pi\)
−0.870152 + 0.492784i \(0.835979\pi\)
\(200\) −0.406737 0.913545i −0.0287606 0.0645974i
\(201\) −10.5215 + 13.4967i −0.742129 + 0.951981i
\(202\) −2.05412 + 6.32195i −0.144528 + 0.444811i
\(203\) −2.05942 + 0.916914i −0.144543 + 0.0643547i
\(204\) 0.422007 + 0.0588486i 0.0295464 + 0.00412023i
\(205\) −9.29816 1.97639i −0.649412 0.138037i
\(206\) 2.99845 6.73462i 0.208912 0.469223i
\(207\) 0.886648 0.126547i 0.0616263 0.00879561i
\(208\) 0.490484 + 0.0515519i 0.0340089 + 0.00357448i
\(209\) 9.81977 + 7.13448i 0.679248 + 0.493502i
\(210\) −0.956386 + 3.85342i −0.0659969 + 0.265912i
\(211\) 7.90836 13.6977i 0.544434 0.942988i −0.454208 0.890896i \(-0.650078\pi\)
0.998642 0.0520920i \(-0.0165889\pi\)
\(212\) 2.41194 + 4.17760i 0.165653 + 0.286919i
\(213\) 3.11331 + 10.8137i 0.213321 + 0.740943i
\(214\) 6.62124 + 7.35363i 0.452618 + 0.502684i
\(215\) −0.354595 1.09133i −0.0241832 0.0744282i
\(216\) 4.49163 2.61252i 0.305617 0.177759i
\(217\) −7.35749 10.4287i −0.499459 0.707945i
\(218\) 17.4012i 1.17856i
\(219\) 3.59668 + 0.121744i 0.243041 + 0.00822669i
\(220\) −3.90738 + 3.51822i −0.263436 + 0.237198i
\(221\) −0.0713132 0.0981542i −0.00479705 0.00660257i
\(222\) −1.42134 8.01067i −0.0953942 0.537641i
\(223\) 9.27537 + 5.35514i 0.621125 + 0.358607i 0.777307 0.629122i \(-0.216585\pi\)
−0.156182 + 0.987728i \(0.549919\pi\)
\(224\) −2.27972 + 0.239608i −0.152320 + 0.0160095i
\(225\) 0.731997 + 2.90933i 0.0487998 + 0.193955i
\(226\) 1.04719 9.96336i 0.0696581 0.662753i
\(227\) 14.3618 + 12.9314i 0.953224 + 0.858286i 0.990004 0.141037i \(-0.0450436\pi\)
−0.0367807 + 0.999323i \(0.511710\pi\)
\(228\) 2.87922 + 2.77448i 0.190681 + 0.183744i
\(229\) 4.20055 19.7621i 0.277580 1.30591i −0.589509 0.807762i \(-0.700679\pi\)
0.867090 0.498152i \(-0.165988\pi\)
\(230\) −0.292020 + 0.0620709i −0.0192553 + 0.00409283i
\(231\) 20.8232 1.47850i 1.37007 0.0972783i
\(232\) −0.935309 0.303900i −0.0614061 0.0199520i
\(233\) 13.8077 + 4.48638i 0.904570 + 0.293912i 0.724122 0.689672i \(-0.242245\pi\)
0.180448 + 0.983585i \(0.442245\pi\)
\(234\) −1.42311 0.404775i −0.0930316 0.0264610i
\(235\) −4.04977 + 0.860805i −0.264178 + 0.0561527i
\(236\) 3.04043 14.3041i 0.197915 0.931119i
\(237\) −4.37119 + 4.53620i −0.283939 + 0.294658i
\(238\) 0.419065 + 0.377328i 0.0271639 + 0.0244585i
\(239\) 0.860790 8.18987i 0.0556799 0.529758i −0.930759 0.365632i \(-0.880853\pi\)
0.986439 0.164126i \(-0.0524805\pi\)
\(240\) −1.43490 + 0.970087i −0.0926222 + 0.0626189i
\(241\) −30.2783 + 3.18237i −1.95039 + 0.204995i −0.995703 0.0926038i \(-0.970481\pi\)
−0.954691 + 0.297598i \(0.903814\pi\)
\(242\) 14.4154 + 8.32276i 0.926660 + 0.535007i
\(243\) −14.6196 + 5.40990i −0.937848 + 0.347045i
\(244\) 6.84278 + 9.41828i 0.438064 + 0.602943i
\(245\) 1.29715 1.16796i 0.0828717 0.0746180i
\(246\) −0.556993 + 16.4553i −0.0355126 + 1.04915i
\(247\) 1.13852i 0.0724424i
\(248\) 0.658940 5.52863i 0.0418428 0.351069i
\(249\) 1.84564 + 0.669520i 0.116963 + 0.0424291i
\(250\) −0.309017 0.951057i −0.0195440 0.0601501i
\(251\) −3.56146 3.95540i −0.224797 0.249663i 0.620187 0.784454i \(-0.287057\pi\)
−0.844984 + 0.534791i \(0.820390\pi\)
\(252\) 6.86108 + 0.465013i 0.432207 + 0.0292931i
\(253\) 0.784858 + 1.35941i 0.0493436 + 0.0854657i
\(254\) −2.53084 + 4.38354i −0.158799 + 0.275048i
\(255\) 0.413544 + 0.102638i 0.0258971 + 0.00642744i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −28.1552 2.95923i −1.75628 0.184592i −0.829070 0.559145i \(-0.811130\pi\)
−0.927206 + 0.374553i \(0.877796\pi\)
\(258\) −1.75387 + 0.934961i −0.109191 + 0.0582082i
\(259\) 4.37944 9.83638i 0.272125 0.611203i
\(260\) 0.482408 + 0.102539i 0.0299177 + 0.00635920i
\(261\) 2.60794 + 1.37951i 0.161428 + 0.0853898i
\(262\) 6.34497 2.82496i 0.391994 0.174527i
\(263\) −3.36054 + 10.3427i −0.207220 + 0.637757i 0.792395 + 0.610008i \(0.208834\pi\)
−0.999615 + 0.0277488i \(0.991166\pi\)
\(264\) 7.18237 + 5.59911i 0.442045 + 0.344602i
\(265\) 1.96205 + 4.40683i 0.120528 + 0.270709i
\(266\) 1.10021 + 5.17609i 0.0674584 + 0.317367i
\(267\) −20.6918 12.8989i −1.26632 0.789400i
\(268\) −9.02611 4.01868i −0.551358 0.245480i
\(269\) −12.1131 + 13.4530i −0.738549 + 0.820241i −0.989004 0.147887i \(-0.952753\pi\)
0.250456 + 0.968128i \(0.419420\pi\)
\(270\) 4.74011 2.12870i 0.288474 0.129549i
\(271\) 7.34577 10.1106i 0.446223 0.614174i −0.525357 0.850882i \(-0.676068\pi\)
0.971581 + 0.236708i \(0.0760684\pi\)
\(272\) 0.0257144 + 0.244656i 0.00155916 + 0.0148344i
\(273\) −1.26025 1.49865i −0.0762740 0.0907025i
\(274\) 6.41607 3.70432i 0.387609 0.223786i
\(275\) −4.25373 + 3.09052i −0.256510 + 0.186365i
\(276\) 0.194220 + 0.479234i 0.0116907 + 0.0288465i
\(277\) −19.7985 + 6.43293i −1.18958 + 0.386517i −0.835917 0.548856i \(-0.815063\pi\)
−0.353661 + 0.935374i \(0.615063\pi\)
\(278\) 17.6739 1.06001
\(279\) −4.79265 + 16.0010i −0.286929 + 0.957952i
\(280\) −2.29227 −0.136990
\(281\) −18.5701 + 6.03378i −1.10780 + 0.359945i −0.805099 0.593141i \(-0.797888\pi\)
−0.302699 + 0.953086i \(0.597888\pi\)
\(282\) 2.69346 + 6.64606i 0.160393 + 0.395767i
\(283\) 10.0349 7.29076i 0.596511 0.433391i −0.248128 0.968727i \(-0.579815\pi\)
0.844639 + 0.535337i \(0.179815\pi\)
\(284\) −5.62647 + 3.24845i −0.333870 + 0.192760i
\(285\) 2.57343 + 3.06024i 0.152437 + 0.181273i
\(286\) −0.271055 2.57891i −0.0160278 0.152494i
\(287\) −12.8079 + 17.6286i −0.756026 + 1.04058i
\(288\) 2.08859 + 2.15355i 0.123071 + 0.126899i
\(289\) −11.3347 + 12.5885i −0.666749 + 0.740499i
\(290\) −0.898419 0.400002i −0.0527570 0.0234889i
\(291\) 5.38977 + 3.35988i 0.315954 + 0.196960i
\(292\) 0.431985 + 2.03233i 0.0252800 + 0.118933i
\(293\) 9.62081 + 21.6087i 0.562054 + 1.26239i 0.941448 + 0.337158i \(0.109466\pi\)
−0.379394 + 0.925235i \(0.623868\pi\)
\(294\) −2.38436 1.85876i −0.139059 0.108405i
\(295\) 4.51897 13.9079i 0.263104 0.809752i
\(296\) 4.29110 1.91052i 0.249415 0.111047i
\(297\) −18.3463 20.2445i −1.06456 1.17471i
\(298\) 9.37099 + 1.99186i 0.542847 + 0.115386i
\(299\) 0.0598870 0.134508i 0.00346335 0.00777882i
\(300\) −1.52844 + 0.814785i −0.0882444 + 0.0470417i
\(301\) −2.61596 0.274949i −0.150781 0.0158478i
\(302\) −7.05114 5.12296i −0.405748 0.294793i
\(303\) 11.1744 + 2.77339i 0.641954 + 0.159327i
\(304\) −1.15425 + 1.99923i −0.0662010 + 0.114663i
\(305\) 5.82082 + 10.0819i 0.333299 + 0.577291i
\(306\) 0.0499046 0.736321i 0.00285285 0.0420927i
\(307\) −1.65859 1.84205i −0.0946605 0.105131i 0.693953 0.720020i \(-0.255867\pi\)
−0.788614 + 0.614889i \(0.789201\pi\)
\(308\) 3.72444 + 11.4627i 0.212220 + 0.653145i
\(309\) −12.0032 4.35427i −0.682840 0.247706i
\(310\) 1.23323 5.42947i 0.0700428 0.308373i
\(311\) 12.1114i 0.686776i −0.939194 0.343388i \(-0.888425\pi\)
0.939194 0.343388i \(-0.111575\pi\)
\(312\) 0.0288980 0.853733i 0.00163602 0.0483331i
\(313\) −18.7290 + 16.8637i −1.05863 + 0.953191i −0.998986 0.0450286i \(-0.985662\pi\)
−0.0596405 + 0.998220i \(0.518995\pi\)
\(314\) −8.14975 11.2172i −0.459917 0.633021i
\(315\) 6.77489 + 1.17964i 0.381722 + 0.0664654i
\(316\) −3.14978 1.81853i −0.177189 0.102300i
\(317\) 30.8863 3.24628i 1.73475 0.182329i 0.816235 0.577719i \(-0.196057\pi\)
0.918513 + 0.395390i \(0.129391\pi\)
\(318\) 6.92177 4.67958i 0.388153 0.262418i
\(319\) −0.540500 + 5.14252i −0.0302622 + 0.287926i
\(320\) −0.743145 0.669131i −0.0415431 0.0374055i
\(321\) 11.8926 12.3416i 0.663782 0.688841i
\(322\) −0.142283 + 0.669391i −0.00792914 + 0.0373037i
\(323\) 0.555491 0.118073i 0.0309083 0.00656977i
\(324\) −5.06464 7.43972i −0.281369 0.413318i
\(325\) 0.469047 + 0.152403i 0.0260180 + 0.00845378i
\(326\) 0.869950 + 0.282664i 0.0481821 + 0.0156553i
\(327\) −30.0641 + 2.13463i −1.66255 + 0.118045i
\(328\) −9.29816 + 1.97639i −0.513405 + 0.109128i
\(329\) −1.97320 + 9.28317i −0.108786 + 0.511798i
\(330\) 6.55776 + 6.31920i 0.360993 + 0.347861i
\(331\) −8.47772 7.63337i −0.465978 0.419568i 0.402406 0.915461i \(-0.368174\pi\)
−0.868384 + 0.495893i \(0.834841\pi\)
\(332\) −0.118486 + 1.12732i −0.00650274 + 0.0618695i
\(333\) −13.6657 + 3.43833i −0.748875 + 0.188419i
\(334\) 2.30975 0.242764i 0.126384 0.0132835i
\(335\) −8.55660 4.94015i −0.467497 0.269909i
\(336\) 0.693627 + 3.90928i 0.0378404 + 0.213268i
\(337\) 15.0019 + 20.6484i 0.817206 + 1.12479i 0.990171 + 0.139860i \(0.0446651\pi\)
−0.172965 + 0.984928i \(0.555335\pi\)
\(338\) 9.48013 8.53594i 0.515651 0.464294i
\(339\) −17.3422 0.587014i −0.941897 0.0318822i
\(340\) 0.246003i 0.0133414i
\(341\) −29.1541 + 2.65486i −1.57878 + 0.143768i
\(342\) 4.44027 5.31478i 0.240102 0.287390i
\(343\) −6.19488 19.0659i −0.334492 1.02946i
\(344\) −0.767823 0.852754i −0.0413983 0.0459774i
\(345\) 0.143062 + 0.496910i 0.00770223 + 0.0267527i
\(346\) 8.98430 + 15.5613i 0.482999 + 0.836579i
\(347\) −6.19451 + 10.7292i −0.332539 + 0.575974i −0.983009 0.183558i \(-0.941239\pi\)
0.650470 + 0.759532i \(0.274572\pi\)
\(348\) −0.410313 + 1.65321i −0.0219951 + 0.0886216i
\(349\) −7.18740 5.22195i −0.384733 0.279525i 0.378561 0.925576i \(-0.376419\pi\)
−0.763294 + 0.646052i \(0.776419\pi\)
\(350\) −2.27972 0.239608i −0.121856 0.0128076i
\(351\) −0.524755 + 2.50836i −0.0280093 + 0.133887i
\(352\) −2.13858 + 4.80333i −0.113987 + 0.256018i
\(353\) 0.519568 + 0.110438i 0.0276538 + 0.00587800i 0.221718 0.975111i \(-0.428834\pi\)
−0.194064 + 0.980989i \(0.562167\pi\)
\(354\) −25.0862 3.49826i −1.33332 0.185930i
\(355\) −5.93521 + 2.64252i −0.315008 + 0.140251i
\(356\) 4.35020 13.3886i 0.230560 0.709592i
\(357\) 0.600502 0.770306i 0.0317819 0.0407689i
\(358\) 0.417579 + 0.937898i 0.0220697 + 0.0495695i
\(359\) 4.33883 + 20.4126i 0.228995 + 1.07733i 0.930959 + 0.365123i \(0.118973\pi\)
−0.701965 + 0.712212i \(0.747694\pi\)
\(360\) 1.85204 + 2.36007i 0.0976112 + 0.124387i
\(361\) −12.4889 5.56041i −0.657310 0.292653i
\(362\) −0.0495237 + 0.0550016i −0.00260291 + 0.00289082i
\(363\) 12.6109 25.9265i 0.661900 1.36079i
\(364\) 0.664500 0.914606i 0.0348293 0.0479384i
\(365\) 0.217182 + 2.06635i 0.0113678 + 0.108158i
\(366\) 15.4326 12.9776i 0.806673 0.678352i
\(367\) −10.5070 + 6.06625i −0.548463 + 0.316656i −0.748502 0.663132i \(-0.769227\pi\)
0.200039 + 0.979788i \(0.435893\pi\)
\(368\) −0.241527 + 0.175480i −0.0125905 + 0.00914753i
\(369\) 28.4981 1.05627i 1.48355 0.0549874i
\(370\) 4.46730 1.45151i 0.232244 0.0754606i
\(371\) 11.0576 0.574084
\(372\) −9.63266 0.460247i −0.499430 0.0238627i
\(373\) 3.98423 0.206296 0.103148 0.994666i \(-0.467109\pi\)
0.103148 + 0.994666i \(0.467109\pi\)
\(374\) 1.23016 0.399702i 0.0636098 0.0206681i
\(375\) −1.60523 + 0.650557i −0.0828939 + 0.0335946i
\(376\) −3.34953 + 2.43357i −0.172739 + 0.125502i
\(377\) 0.420039 0.242510i 0.0216331 0.0124899i
\(378\) −0.0382541 11.9109i −0.00196758 0.612633i
\(379\) 2.74802 + 26.1456i 0.141156 + 1.34301i 0.804168 + 0.594402i \(0.202611\pi\)
−0.663012 + 0.748609i \(0.730722\pi\)
\(380\) −1.35691 + 1.86762i −0.0696078 + 0.0958070i
\(381\) 7.88390 + 3.83479i 0.403905 + 0.196462i
\(382\) −0.933863 + 1.03716i −0.0477806 + 0.0530657i
\(383\) −34.4946 15.3580i −1.76259 0.784757i −0.988413 0.151791i \(-0.951496\pi\)
−0.774180 0.632965i \(-0.781838\pi\)
\(384\) −0.916274 + 1.46984i −0.0467584 + 0.0750077i
\(385\) 2.50587 + 11.7892i 0.127711 + 0.600832i
\(386\) −6.56569 14.7468i −0.334185 0.750592i
\(387\) 1.83048 + 2.91548i 0.0930487 + 0.148202i
\(388\) −1.13313 + 3.48743i −0.0575261 + 0.177047i
\(389\) 26.2933 11.7065i 1.33312 0.593545i 0.388424 0.921481i \(-0.373020\pi\)
0.944700 + 0.327936i \(0.106353\pi\)
\(390\) 0.117979 0.846036i 0.00597410 0.0428407i
\(391\) 0.0718381 + 0.0152697i 0.00363301 + 0.000772219i
\(392\) 0.709952 1.59458i 0.0358580 0.0805384i
\(393\) −5.65904 10.6157i −0.285461 0.535490i
\(394\) 21.9896 + 2.31120i 1.10782 + 0.116436i
\(395\) −2.94244 2.13781i −0.148050 0.107565i
\(396\) 8.79252 13.0958i 0.441841 0.658091i
\(397\) −13.9943 + 24.2388i −0.702353 + 1.21651i 0.265285 + 0.964170i \(0.414534\pi\)
−0.967638 + 0.252342i \(0.918799\pi\)
\(398\) 4.24754 + 7.35696i 0.212910 + 0.368771i
\(399\) 8.80778 2.53580i 0.440940 0.126949i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) 5.07464 + 15.6181i 0.253415 + 0.779932i 0.994138 + 0.108121i \(0.0344833\pi\)
−0.740723 + 0.671811i \(0.765517\pi\)
\(402\) −5.83584 + 16.0874i −0.291065 + 0.802367i
\(403\) 1.80884 + 2.06599i 0.0901045 + 0.102914i
\(404\) 6.64729i 0.330715i
\(405\) −4.25923 7.92836i −0.211643 0.393963i
\(406\) −1.67529 + 1.50843i −0.0831430 + 0.0748623i
\(407\) −14.5168 19.9806i −0.719569 0.990402i
\(408\) 0.419538 0.0744390i 0.0207702 0.00368528i
\(409\) 4.78834 + 2.76455i 0.236768 + 0.136698i 0.613690 0.789547i \(-0.289684\pi\)
−0.376922 + 0.926245i \(0.623018\pi\)
\(410\) −9.45382 + 0.993636i −0.466891 + 0.0490722i
\(411\) −7.18703 10.6306i −0.354510 0.524371i
\(412\) 0.770580 7.33157i 0.0379637 0.361201i
\(413\) −24.9113 22.4302i −1.22581 1.10372i
\(414\) 0.804147 0.394342i 0.0395217 0.0193809i
\(415\) −0.235673 + 1.10875i −0.0115687 + 0.0544266i
\(416\) 0.482408 0.102539i 0.0236520 0.00502739i
\(417\) −2.16809 30.5353i −0.106172 1.49532i
\(418\) 11.5438 + 3.75082i 0.564627 + 0.183458i
\(419\) 5.95487 + 1.93486i 0.290915 + 0.0945239i 0.450839 0.892605i \(-0.351125\pi\)
−0.159924 + 0.987129i \(0.551125\pi\)
\(420\) 0.281196 + 3.96036i 0.0137210 + 0.193246i
\(421\) 7.31970 1.55585i 0.356741 0.0758275i −0.0260553 0.999661i \(-0.508295\pi\)
0.382796 + 0.923833i \(0.374961\pi\)
\(422\) 3.28848 15.4711i 0.160081 0.753121i
\(423\) 11.1520 5.46878i 0.542228 0.265901i
\(424\) 3.58484 + 3.22780i 0.174095 + 0.156756i
\(425\) −0.0257144 + 0.244656i −0.00124733 + 0.0118676i
\(426\) 6.30255 + 9.32238i 0.305360 + 0.451671i
\(427\) 26.5396 2.78943i 1.28434 0.134990i
\(428\) 8.56957 + 4.94764i 0.414226 + 0.239153i
\(429\) −4.42234 + 0.784661i −0.213513 + 0.0378838i
\(430\) −0.674480 0.928342i −0.0325263 0.0447686i
\(431\) 18.7969 16.9248i 0.905415 0.815239i −0.0779356 0.996958i \(-0.524833\pi\)
0.983350 + 0.181719i \(0.0581662\pi\)
\(432\) 3.46448 3.87264i 0.166685 0.186323i
\(433\) 22.8130i 1.09632i −0.836372 0.548162i \(-0.815328\pi\)
0.836372 0.548162i \(-0.184672\pi\)
\(434\) −10.2200 7.64468i −0.490577 0.366956i
\(435\) −0.580874 + 1.60127i −0.0278508 + 0.0767750i
\(436\) −5.37727 16.5495i −0.257525 0.792579i
\(437\) 0.461159 + 0.512169i 0.0220602 + 0.0245004i
\(438\) 3.45827 0.995650i 0.165242 0.0475740i
\(439\) 3.60601 + 6.24579i 0.172105 + 0.298095i 0.939156 0.343492i \(-0.111610\pi\)
−0.767050 + 0.641587i \(0.778276\pi\)
\(440\) −2.62895 + 4.55348i −0.125330 + 0.217078i
\(441\) −2.91888 + 4.34747i −0.138994 + 0.207023i
\(442\) −0.0981542 0.0713132i −0.00466872 0.00339202i
\(443\) 20.0595 + 2.10834i 0.953054 + 0.100170i 0.568275 0.822839i \(-0.307611\pi\)
0.384779 + 0.923009i \(0.374278\pi\)
\(444\) −3.82721 7.17938i −0.181631 0.340718i
\(445\) 5.72586 12.8605i 0.271432 0.609646i
\(446\) 10.4762 + 2.22679i 0.496064 + 0.105442i
\(447\) 2.29179 16.4346i 0.108398 0.777330i
\(448\) −2.09410 + 0.932352i −0.0989367 + 0.0440495i
\(449\) 5.05783 15.5664i 0.238694 0.734624i −0.757916 0.652352i \(-0.773782\pi\)
0.996610 0.0822721i \(-0.0262176\pi\)
\(450\) 1.59520 + 2.54073i 0.0751985 + 0.119771i
\(451\) 20.3291 + 45.6599i 0.957261 + 2.15004i
\(452\) −2.08291 9.79932i −0.0979718 0.460921i
\(453\) −7.98596 + 12.8107i −0.375213 + 0.601900i
\(454\) 17.6549 + 7.86045i 0.828584 + 0.368909i
\(455\) 0.756462 0.840137i 0.0354635 0.0393862i
\(456\) 3.59566 + 1.74896i 0.168382 + 0.0819024i
\(457\) −16.5597 + 22.7924i −0.774628 + 1.06618i 0.221227 + 0.975222i \(0.428994\pi\)
−0.995854 + 0.0909613i \(0.971006\pi\)
\(458\) −2.11185 20.0929i −0.0986801 0.938878i
\(459\) −1.27827 + 0.00410538i −0.0596643 + 0.000191623i
\(460\) −0.258547 + 0.149272i −0.0120548 + 0.00695985i
\(461\) 20.9266 15.2041i 0.974649 0.708124i 0.0181429 0.999835i \(-0.494225\pi\)
0.956506 + 0.291711i \(0.0942246\pi\)
\(462\) 19.3472 7.84086i 0.900111 0.364790i
\(463\) −14.8293 + 4.81833i −0.689176 + 0.223927i −0.632609 0.774472i \(-0.718016\pi\)
−0.0565680 + 0.998399i \(0.518016\pi\)
\(464\) −0.983442 −0.0456552
\(465\) −9.53178 1.46461i −0.442026 0.0679198i
\(466\) 14.5182 0.672544
\(467\) −34.4263 + 11.1858i −1.59306 + 0.517616i −0.965378 0.260855i \(-0.915996\pi\)
−0.627681 + 0.778471i \(0.715996\pi\)
\(468\) −1.47854 + 0.0548016i −0.0683456 + 0.00253320i
\(469\) −18.3229 + 13.3124i −0.846074 + 0.614708i
\(470\) −3.58555 + 2.07012i −0.165389 + 0.0954875i
\(471\) −18.3802 + 15.4564i −0.846913 + 0.712191i
\(472\) −1.52859 14.5436i −0.0703591 0.669422i
\(473\) −3.54635 + 4.88113i −0.163061 + 0.224435i
\(474\) −2.75548 + 5.66496i −0.126563 + 0.260200i
\(475\) −1.54469 + 1.71556i −0.0708754 + 0.0787151i
\(476\) 0.515155 + 0.229362i 0.0236121 + 0.0105128i
\(477\) −8.93402 11.3847i −0.409061 0.521269i
\(478\) −1.71215 8.05503i −0.0783119 0.368428i
\(479\) 10.4039 + 23.3675i 0.475365 + 1.06769i 0.979017 + 0.203780i \(0.0653228\pi\)
−0.503652 + 0.863907i \(0.668010\pi\)
\(480\) −1.06490 + 1.36602i −0.0486056 + 0.0623498i
\(481\) −0.715865 + 2.20321i −0.0326406 + 0.100458i
\(482\) −27.8129 + 12.3831i −1.26684 + 0.564035i
\(483\) 1.17396 + 0.163708i 0.0534171 + 0.00744898i
\(484\) 16.2818 + 3.46080i 0.740081 + 0.157309i
\(485\) −1.49146 + 3.34988i −0.0677238 + 0.152110i
\(486\) −12.2323 + 9.66283i −0.554870 + 0.438315i
\(487\) 29.7680 + 3.12874i 1.34892 + 0.141777i 0.751276 0.659988i \(-0.229439\pi\)
0.597640 + 0.801765i \(0.296105\pi\)
\(488\) 9.41828 + 6.84278i 0.426345 + 0.309758i
\(489\) 0.381641 1.53769i 0.0172584 0.0695367i
\(490\) 0.872742 1.51163i 0.0394264 0.0682886i
\(491\) −12.2452 21.2093i −0.552618 0.957162i −0.998085 0.0618637i \(-0.980296\pi\)
0.445467 0.895298i \(-0.353038\pi\)
\(492\) 4.55522 + 15.8220i 0.205365 + 0.713311i
\(493\) 0.161883 + 0.179789i 0.00729084 + 0.00809730i
\(494\) −0.351823 1.08280i −0.0158292 0.0487174i
\(495\) 10.1132 12.1050i 0.454557 0.544081i
\(496\) −1.08175 5.46167i −0.0485721 0.245236i
\(497\) 14.8927i 0.668027i
\(498\) 1.96220 + 0.0664184i 0.0879282 + 0.00297628i
\(499\) 13.2301 11.9125i 0.592263 0.533276i −0.317579 0.948232i \(-0.602870\pi\)
0.909841 + 0.414956i \(0.136203\pi\)
\(500\) −0.587785 0.809017i −0.0262866 0.0361803i
\(501\) −0.702764 3.96077i −0.0313972 0.176954i
\(502\) −4.60944 2.66126i −0.205729 0.118778i
\(503\) −37.3797 + 3.92876i −1.66668 + 0.175175i −0.890388 0.455203i \(-0.849567\pi\)
−0.776289 + 0.630378i \(0.782900\pi\)
\(504\) 6.66897 1.67794i 0.297060 0.0747412i
\(505\) −0.694831 + 6.61087i −0.0309196 + 0.294180i
\(506\) 1.16653 + 1.05035i 0.0518584 + 0.0466936i
\(507\) −15.9105 15.3317i −0.706610 0.680905i
\(508\) −1.05238 + 4.95106i −0.0466918 + 0.219668i
\(509\) −34.9145 + 7.42130i −1.54756 + 0.328943i −0.900964 0.433893i \(-0.857140\pi\)
−0.646592 + 0.762836i \(0.723806\pi\)
\(510\) 0.425021 0.0301776i 0.0188202 0.00133629i
\(511\) 4.52963 + 1.47177i 0.200379 + 0.0651071i
\(512\) −0.951057 0.309017i −0.0420312 0.0136568i
\(513\) −9.72704 7.01949i −0.429459 0.309918i
\(514\) −27.6917 + 5.88605i −1.22143 + 0.259622i
\(515\) 1.53272 7.21086i 0.0675396 0.317749i
\(516\) −1.37911 + 1.43118i −0.0607121 + 0.0630041i
\(517\) 16.1775 + 14.5663i 0.711486 + 0.640625i
\(518\) 1.12549 10.7083i 0.0494510 0.470495i
\(519\) 25.7831 17.4311i 1.13175 0.765141i
\(520\) 0.490484 0.0515519i 0.0215091 0.00226070i
\(521\) −0.179023 0.103359i −0.00784315 0.00452825i 0.496073 0.868281i \(-0.334775\pi\)
−0.503916 + 0.863752i \(0.668108\pi\)
\(522\) 2.90660 + 0.506097i 0.127218 + 0.0221513i
\(523\) −1.27828 1.75941i −0.0558954 0.0769335i 0.780154 0.625587i \(-0.215141\pi\)
−0.836050 + 0.548654i \(0.815141\pi\)
\(524\) 5.16147 4.64741i 0.225480 0.203023i
\(525\) −0.134315 + 3.96806i −0.00586197 + 0.173180i
\(526\) 10.8749i 0.474170i
\(527\) −0.820416 + 1.09680i −0.0357379 + 0.0477773i
\(528\) 8.56106 + 3.10560i 0.372573 + 0.135154i
\(529\) −7.07985 21.7895i −0.307820 0.947371i
\(530\) 3.22780 + 3.58484i 0.140207 + 0.155715i
\(531\) −2.96658 + 43.7706i −0.128739 + 1.89948i
\(532\) 2.64586 + 4.58277i 0.114713 + 0.198688i
\(533\) 2.34408 4.06007i 0.101533 0.175861i
\(534\) −23.6651 5.87346i −1.02409 0.254170i
\(535\) 8.00545 + 5.81630i 0.346106 + 0.251461i
\(536\) −9.82618 1.03277i −0.424427 0.0446090i
\(537\) 1.56918 0.836505i 0.0677152 0.0360979i
\(538\) −7.36305 + 16.5377i −0.317444 + 0.712990i
\(539\) −8.97703 1.90813i −0.386668 0.0821888i
\(540\) 3.85031 3.48929i 0.165691 0.150155i
\(541\) 3.45918 1.54013i 0.148722 0.0662152i −0.331026 0.943622i \(-0.607395\pi\)
0.479748 + 0.877406i \(0.340728\pi\)
\(542\) 3.86190 11.8857i 0.165883 0.510534i
\(543\) 0.101102 + 0.0788150i 0.00433868 + 0.00338228i
\(544\) 0.100059 + 0.224735i 0.00428998 + 0.00963545i
\(545\) −3.61792 17.0210i −0.154974 0.729098i
\(546\) −1.66168 1.03586i −0.0711134 0.0443308i
\(547\) −20.6667 9.20141i −0.883644 0.393424i −0.0858177 0.996311i \(-0.527350\pi\)
−0.797826 + 0.602887i \(0.794017\pi\)
\(548\) 4.95735 5.50569i 0.211767 0.235192i
\(549\) −24.3146 25.0709i −1.03772 1.07000i
\(550\) −3.09052 + 4.25373i −0.131780 + 0.181380i
\(551\) 0.237309 + 2.25785i 0.0101097 + 0.0961875i
\(552\) 0.332806 + 0.395761i 0.0141651 + 0.0168447i
\(553\) −7.22015 + 4.16856i −0.307032 + 0.177265i
\(554\) −16.8416 + 12.2362i −0.715532 + 0.519865i
\(555\) −3.05579 7.54010i −0.129711 0.320060i
\(556\) 16.8089 5.46155i 0.712857 0.231621i
\(557\) 45.6302 1.93341 0.966707 0.255886i \(-0.0823672\pi\)
0.966707 + 0.255886i \(0.0823672\pi\)
\(558\) 0.386484 + 16.6988i 0.0163612 + 0.706917i
\(559\) 0.565927 0.0239362
\(560\) −2.18008 + 0.708351i −0.0921253 + 0.0299333i
\(561\) −0.841470 2.07631i −0.0355269 0.0876618i
\(562\) −15.7966 + 11.4769i −0.666341 + 0.484125i
\(563\) −39.2662 + 22.6703i −1.65487 + 0.955441i −0.679845 + 0.733356i \(0.737953\pi\)
−0.975027 + 0.222085i \(0.928714\pi\)
\(564\) 4.61538 + 5.48845i 0.194342 + 0.231105i
\(565\) −1.04719 9.96336i −0.0440557 0.419162i
\(566\) 7.29076 10.0349i 0.306454 0.421797i
\(567\) −20.5739 + 1.52722i −0.864021 + 0.0641374i
\(568\) −4.34727 + 4.82813i −0.182407 + 0.202584i
\(569\) 13.9160 + 6.19581i 0.583390 + 0.259742i 0.677140 0.735854i \(-0.263219\pi\)
−0.0937505 + 0.995596i \(0.529886\pi\)
\(570\) 3.39315 + 2.11523i 0.142123 + 0.0885970i
\(571\) 6.66608 + 31.3614i 0.278967 + 1.31243i 0.864846 + 0.502037i \(0.167416\pi\)
−0.585880 + 0.810398i \(0.699251\pi\)
\(572\) −1.05472 2.36893i −0.0440999 0.0990500i
\(573\) 1.90646 + 1.48621i 0.0796435 + 0.0620872i
\(574\) −6.73351 + 20.7236i −0.281051 + 0.864987i
\(575\) −0.272734 + 0.121429i −0.0113738 + 0.00506394i
\(576\) 2.65185 + 1.40274i 0.110494 + 0.0584475i
\(577\) 2.48441 + 0.528077i 0.103427 + 0.0219841i 0.259335 0.965788i \(-0.416497\pi\)
−0.155907 + 0.987772i \(0.549830\pi\)
\(578\) −6.88991 + 15.4750i −0.286582 + 0.643675i
\(579\) −24.6726 + 13.1526i −1.02536 + 0.546602i
\(580\) −0.978055 0.102798i −0.0406115 0.00426844i
\(581\) 2.10211 + 1.52727i 0.0872102 + 0.0633619i
\(582\) 6.16423 + 1.52991i 0.255516 + 0.0634167i
\(583\) 12.6817 21.9654i 0.525223 0.909714i
\(584\) 1.03887 + 1.79937i 0.0429886 + 0.0744585i
\(585\) −1.47617 0.100048i −0.0610321 0.00413648i
\(586\) 15.8274 + 17.5781i 0.653823 + 0.726144i
\(587\) −0.253816 0.781166i −0.0104761 0.0322422i 0.945682 0.325094i \(-0.105396\pi\)
−0.956158 + 0.292852i \(0.905396\pi\)
\(588\) −2.84205 1.03098i −0.117204 0.0425167i
\(589\) −12.2782 + 3.80148i −0.505914 + 0.156637i
\(590\) 14.6237i 0.602047i
\(591\) 1.29557 38.2749i 0.0532925 1.57442i
\(592\) 3.49070 3.14304i 0.143467 0.129178i
\(593\) −18.8065 25.8850i −0.772292 1.06297i −0.996091 0.0883335i \(-0.971846\pi\)
0.223799 0.974635i \(-0.428154\pi\)
\(594\) −23.7043 13.5844i −0.972599 0.557373i
\(595\) 0.488358 + 0.281954i 0.0200207 + 0.0115590i
\(596\) 9.52786 1.00142i 0.390276 0.0410197i
\(597\) 12.1896 8.24097i 0.498886 0.337281i
\(598\) 0.0153905 0.146431i 0.000629366 0.00598801i
\(599\) −16.6153 14.9605i −0.678883 0.611269i 0.255809 0.966727i \(-0.417658\pi\)
−0.934692 + 0.355458i \(0.884325\pi\)
\(600\) −1.20185 + 1.24722i −0.0490653 + 0.0509176i
\(601\) −2.67919 + 12.6046i −0.109287 + 0.514153i 0.889118 + 0.457679i \(0.151319\pi\)
−0.998404 + 0.0564739i \(0.982014\pi\)
\(602\) −2.57289 + 0.546885i −0.104863 + 0.0222894i
\(603\) 28.5101 + 8.10912i 1.16102 + 0.330229i
\(604\) −8.28912 2.69330i −0.337279 0.109589i
\(605\) 15.8308 + 5.14375i 0.643615 + 0.209123i
\(606\) 11.4845 0.815432i 0.466527 0.0331247i
\(607\) 9.52421 2.02443i 0.386576 0.0821692i −0.0105241 0.999945i \(-0.503350\pi\)
0.397100 + 0.917775i \(0.370017\pi\)
\(608\) −0.479966 + 2.25806i −0.0194652 + 0.0915765i
\(609\) 2.81163 + 2.70935i 0.113933 + 0.109788i
\(610\) 8.65142 + 7.78977i 0.350286 + 0.315399i
\(611\) 0.213437 2.03072i 0.00863475 0.0821541i
\(612\) −0.180074 0.715704i −0.00727905 0.0289306i
\(613\) −23.9041 + 2.51242i −0.965478 + 0.101476i −0.574128 0.818766i \(-0.694659\pi\)
−0.391351 + 0.920242i \(0.627992\pi\)
\(614\) −2.14663 1.23936i −0.0866311 0.0500165i
\(615\) 2.87642 + 16.2115i 0.115988 + 0.653710i
\(616\) 7.08431 + 9.75071i 0.285435 + 0.392867i
\(617\) 23.3631 21.0362i 0.940563 0.846887i −0.0478220 0.998856i \(-0.515228\pi\)
0.988385 + 0.151969i \(0.0485614\pi\)
\(618\) −12.7613 0.431957i −0.513335 0.0173758i
\(619\) 19.2249i 0.772714i −0.922349 0.386357i \(-0.873733\pi\)
0.922349 0.386357i \(-0.126267\pi\)
\(620\) −0.504927 5.54482i −0.0202783 0.222685i
\(621\) −0.779952 1.34095i −0.0312984 0.0538105i
\(622\) −3.74264 11.5187i −0.150066 0.461856i
\(623\) −21.5926 23.9810i −0.865089 0.960778i
\(624\) −0.236334 0.820878i −0.00946095 0.0328614i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −12.6012 + 21.8259i −0.503645 + 0.872338i
\(627\) 5.06419 20.4044i 0.202244 0.814874i
\(628\) −11.2172 8.14975i −0.447614 0.325210i
\(629\) −1.14920 0.120785i −0.0458215 0.00481603i
\(630\) 6.80783 0.971647i 0.271230 0.0387113i
\(631\) 2.78533 6.25596i 0.110882 0.249046i −0.849578 0.527463i \(-0.823143\pi\)
0.960460 + 0.278417i \(0.0898099\pi\)
\(632\) −3.55757 0.756185i −0.141513 0.0300794i
\(633\) −27.1328 3.78365i −1.07843 0.150387i
\(634\) 28.3715 12.6318i 1.12678 0.501673i
\(635\) −1.56414 + 4.81394i −0.0620711 + 0.191035i
\(636\) 5.13692 6.58949i 0.203692 0.261290i
\(637\) 0.350138 + 0.786423i 0.0138730 + 0.0311592i
\(638\) 1.07508 + 5.05785i 0.0425628 + 0.200242i
\(639\) 15.3331 12.0325i 0.606570 0.475999i
\(640\) −0.913545 0.406737i −0.0361111 0.0160777i
\(641\) −10.2974 + 11.4364i −0.406723 + 0.451711i −0.911354 0.411624i \(-0.864962\pi\)
0.504631 + 0.863335i \(0.331628\pi\)
\(642\) 7.49681 15.4126i 0.295875 0.608286i
\(643\) −17.7966 + 24.4949i −0.701829 + 0.965984i 0.298106 + 0.954533i \(0.403645\pi\)
−0.999934 + 0.0114514i \(0.996355\pi\)
\(644\) 0.0715336 + 0.680596i 0.00281882 + 0.0268193i
\(645\) −1.52116 + 1.27918i −0.0598956 + 0.0503677i
\(646\) 0.491817 0.283950i 0.0193503 0.0111719i
\(647\) 9.04964 6.57495i 0.355778 0.258488i −0.395511 0.918461i \(-0.629432\pi\)
0.751289 + 0.659973i \(0.229432\pi\)
\(648\) −7.11576 5.51053i −0.279533 0.216474i
\(649\) −73.1266 + 23.7603i −2.87047 + 0.932672i
\(650\) 0.493185 0.0193443
\(651\) −11.9540 + 18.5949i −0.468515 + 0.728793i
\(652\) 0.914720 0.0358232
\(653\) 30.2394 9.82539i 1.18336 0.384497i 0.349746 0.936844i \(-0.386268\pi\)
0.833614 + 0.552347i \(0.186268\pi\)
\(654\) −27.9330 + 11.3205i −1.09227 + 0.442665i
\(655\) 5.61898 4.08243i 0.219552 0.159514i
\(656\) −8.23234 + 4.75295i −0.321419 + 0.185571i
\(657\) −2.14442 5.85272i −0.0836617 0.228336i
\(658\) 0.992034 + 9.43857i 0.0386735 + 0.367954i
\(659\) 15.4621 21.2818i 0.602320 0.829022i −0.393599 0.919282i \(-0.628770\pi\)
0.995918 + 0.0902606i \(0.0287700\pi\)
\(660\) 8.18954 + 3.98346i 0.318778 + 0.155056i
\(661\) −15.7873 + 17.5336i −0.614055 + 0.681977i −0.967324 0.253545i \(-0.918403\pi\)
0.353269 + 0.935522i \(0.385070\pi\)
\(662\) −10.4216 4.64001i −0.405048 0.180339i
\(663\) −0.111167 + 0.178329i −0.00431738 + 0.00692574i
\(664\) 0.235673 + 1.10875i 0.00914589 + 0.0430280i
\(665\) 2.15234 + 4.83424i 0.0834642 + 0.187464i
\(666\) −11.9343 + 7.49298i −0.462446 + 0.290347i
\(667\) −0.0907278 + 0.279231i −0.00351299 + 0.0108119i
\(668\) 2.12168 0.944634i 0.0820904 0.0365490i
\(669\) 2.56210 18.3730i 0.0990564 0.710340i
\(670\) −9.66440 2.05423i −0.373368 0.0793619i
\(671\) 24.8966 55.9186i 0.961121 2.15871i
\(672\) 1.86771 + 3.50360i 0.0720485 + 0.135154i
\(673\) 30.6609 + 3.22259i 1.18189 + 0.124222i 0.675020 0.737799i \(-0.264135\pi\)
0.506872 + 0.862021i \(0.330802\pi\)
\(674\) 20.6484 + 15.0019i 0.795345 + 0.577852i
\(675\) 4.19394 3.06771i 0.161425 0.118076i
\(676\) 6.37838 11.0477i 0.245322 0.424911i
\(677\) 13.3581 + 23.1369i 0.513394 + 0.889224i 0.999879 + 0.0155355i \(0.00494531\pi\)
−0.486486 + 0.873689i \(0.661721\pi\)
\(678\) −16.6748 + 4.80074i −0.640391 + 0.184371i
\(679\) 5.62440 + 6.24652i 0.215845 + 0.239720i
\(680\) 0.0760193 + 0.233963i 0.00291521 + 0.00897208i
\(681\) 11.4148 31.4666i 0.437415 1.20580i
\(682\) −26.9068 + 11.5340i −1.03032 + 0.441661i
\(683\) 33.2948i 1.27399i 0.770868 + 0.636995i \(0.219823\pi\)
−0.770868 + 0.636995i \(0.780177\pi\)
\(684\) 2.58059 6.42677i 0.0986714 0.245734i
\(685\) 5.50569 4.95735i 0.210362 0.189411i
\(686\) −11.7834 16.2184i −0.449891 0.619221i
\(687\) −34.4554 + 6.11346i −1.31456 + 0.233243i
\(688\) −0.993759 0.573747i −0.0378867 0.0218739i
\(689\) −2.36603 + 0.248680i −0.0901386 + 0.00947395i
\(690\) 0.289614 + 0.428381i 0.0110254 + 0.0163082i
\(691\) −0.918469 + 8.73865i −0.0349402 + 0.332434i 0.963063 + 0.269275i \(0.0867841\pi\)
−0.998003 + 0.0631587i \(0.979883\pi\)
\(692\) 13.3533 + 12.0233i 0.507615 + 0.457059i
\(693\) −15.9200 32.4643i −0.604751 1.23322i
\(694\) −2.57582 + 12.1183i −0.0977769 + 0.460004i
\(695\) 17.2877 3.67462i 0.655761 0.139386i
\(696\) 0.120640 + 1.69909i 0.00457286 + 0.0644040i
\(697\) 2.22403 + 0.722631i 0.0842411 + 0.0273716i
\(698\) −8.44929 2.74534i −0.319810 0.103913i
\(699\) −1.78097 25.0832i −0.0673625 0.948732i
\(700\) −2.24218 + 0.476590i −0.0847465 + 0.0180134i
\(701\) 0.149227 0.702060i 0.00563624 0.0265164i −0.975240 0.221151i \(-0.929019\pi\)
0.980876 + 0.194634i \(0.0623520\pi\)
\(702\) 0.276055 + 2.54775i 0.0104190 + 0.0961588i
\(703\) −8.05830 7.25573i −0.303925 0.273655i
\(704\) −0.549600 + 5.22910i −0.0207138 + 0.197079i
\(705\) 4.01640 + 5.94082i 0.151266 + 0.223744i
\(706\) 0.528266 0.0555230i 0.0198815 0.00208963i
\(707\) 13.1960 + 7.61870i 0.496286 + 0.286531i
\(708\) −24.9394 + 4.42503i −0.937281 + 0.166303i
\(709\) −16.2152 22.3182i −0.608973 0.838179i 0.387520 0.921861i \(-0.373332\pi\)
−0.996492 + 0.0836823i \(0.973332\pi\)
\(710\) −4.82813 + 4.34727i −0.181197 + 0.163150i
\(711\) 10.1254 + 4.06572i 0.379731 + 0.152476i
\(712\) 14.0776i 0.527579i
\(713\) −1.65054 0.196723i −0.0618133 0.00736733i
\(714\) 0.333074 0.918170i 0.0124650 0.0343616i
\(715\) −0.801318 2.46620i −0.0299676 0.0922308i
\(716\) 0.686968 + 0.762955i 0.0256732 + 0.0285130i
\(717\) −13.7066 + 3.94620i −0.511884 + 0.147374i
\(718\) 10.4343 + 18.0727i 0.389405 + 0.674469i
\(719\) −5.47011 + 9.47450i −0.204001 + 0.353339i −0.949814 0.312816i \(-0.898728\pi\)
0.745813 + 0.666155i \(0.232061\pi\)
\(720\) 2.49070 + 1.67225i 0.0928229 + 0.0623211i
\(721\) −13.6712 9.93272i −0.509142 0.369914i
\(722\) −13.5959 1.42899i −0.505987 0.0531814i
\(723\) 24.8062 + 46.5334i 0.922552 + 1.73059i
\(724\) −0.0301034 + 0.0676133i −0.00111878 + 0.00251283i
\(725\) −0.961952 0.204469i −0.0357260 0.00759379i
\(726\) 3.98192 28.5546i 0.147783 1.05976i
\(727\) 20.0221 8.91442i 0.742579 0.330617i −0.000339107 1.00000i \(-0.500108\pi\)
0.742918 + 0.669383i \(0.233441\pi\)
\(728\) 0.349348 1.07518i 0.0129477 0.0398490i
\(729\) 18.1950 + 19.9484i 0.673890 + 0.738831i
\(730\) 0.845091 + 1.89810i 0.0312782 + 0.0702520i
\(731\) 0.0586909 + 0.276119i 0.00217076 + 0.0102126i
\(732\) 10.6669 17.1114i 0.394261 0.632455i
\(733\) 16.2709 + 7.24425i 0.600978 + 0.267572i 0.684593 0.728926i \(-0.259980\pi\)
−0.0836153 + 0.996498i \(0.526647\pi\)
\(734\) −8.11822 + 9.01620i −0.299649 + 0.332794i
\(735\) −2.71871 1.32240i −0.100281 0.0487776i
\(736\) −0.175480 + 0.241527i −0.00646828 + 0.00890282i
\(737\) 5.43022 + 51.6651i 0.200025 + 1.90311i
\(738\) 26.7769 9.81097i 0.985671 0.361147i
\(739\) −14.7512 + 8.51661i −0.542632 + 0.313288i −0.746145 0.665784i \(-0.768097\pi\)
0.203513 + 0.979072i \(0.434764\pi\)
\(740\) 3.80011 2.76094i 0.139695 0.101494i
\(741\) −1.82759 + 0.740673i −0.0671383 + 0.0272093i
\(742\) 10.5164 3.41700i 0.386071 0.125442i
\(743\) 22.1651 0.813159 0.406579 0.913615i \(-0.366721\pi\)
0.406579 + 0.913615i \(0.366721\pi\)
\(744\) −9.30343 + 2.53894i −0.341080 + 0.0930819i
\(745\) 9.58034 0.350996
\(746\) 3.78923 1.23120i 0.138734 0.0450773i
\(747\) −0.125955 3.39824i −0.00460844 0.124335i
\(748\) 1.04643 0.760278i 0.0382614 0.0277985i
\(749\) 19.6438 11.3413i 0.717768 0.414404i
\(750\) −1.32564 + 1.11476i −0.0484054 + 0.0407053i
\(751\) 2.67632 + 25.4635i 0.0976602 + 0.929175i 0.928166 + 0.372165i \(0.121385\pi\)
−0.830506 + 0.557009i \(0.811949\pi\)
\(752\) −2.43357 + 3.34953i −0.0887433 + 0.122145i
\(753\) −4.03242 + 8.29019i −0.146949 + 0.302111i
\(754\) 0.324541 0.360440i 0.0118191 0.0131264i
\(755\) −7.96218 3.54499i −0.289773 0.129015i
\(756\) −3.71706 11.3162i −0.135188 0.411565i
\(757\) 5.87000 + 27.6162i 0.213349 + 1.00373i 0.946261 + 0.323403i \(0.104827\pi\)
−0.732913 + 0.680323i \(0.761840\pi\)
\(758\) 10.6930 + 24.0168i 0.388386 + 0.872329i
\(759\) 1.67158 2.14426i 0.0606746 0.0778316i
\(760\) −0.713368 + 2.19552i −0.0258766 + 0.0796399i
\(761\) −24.3098 + 10.8234i −0.881229 + 0.392348i −0.796915 0.604091i \(-0.793536\pi\)
−0.0843135 + 0.996439i \(0.526870\pi\)
\(762\) 8.68305 + 1.21085i 0.314554 + 0.0438643i
\(763\) −39.0167 8.29325i −1.41250 0.300236i
\(764\) −0.567656 + 1.27498i −0.0205371 + 0.0461271i
\(765\) −0.104276 0.730607i −0.00377010 0.0264151i
\(766\) −37.5522 3.94690i −1.35682 0.142607i
\(767\) 5.83478 + 4.23922i 0.210682 + 0.153069i
\(768\) −0.417222 + 1.68105i −0.0150552 + 0.0606596i
\(769\) 22.4723 38.9232i 0.810372 1.40360i −0.102232 0.994761i \(-0.532599\pi\)
0.912604 0.408844i \(-0.134068\pi\)
\(770\) 6.02627 + 10.4378i 0.217172 + 0.376153i
\(771\) 13.5663 + 47.1209i 0.488579 + 1.69702i
\(772\) −10.8014 11.9961i −0.388749 0.431750i
\(773\) 6.01898 + 18.5245i