Properties

Label 483.2.bf.a.10.29
Level $483$
Weight $2$
Character 483.10
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 10.29
Character \(\chi\) \(=\) 483.10
Dual form 483.2.bf.a.145.29

$q$-expansion

\(f(q)\) \(=\) \(q+(0.761915 - 2.20141i) q^{2} +(0.458227 + 0.888835i) q^{3} +(-2.69358 - 2.11825i) q^{4} +(0.293147 - 0.0279922i) q^{5} +(2.30582 - 0.331527i) q^{6} +(2.64245 + 0.132130i) q^{7} +(-2.79597 + 1.79686i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(0.761915 - 2.20141i) q^{2} +(0.458227 + 0.888835i) q^{3} +(-2.69358 - 2.11825i) q^{4} +(0.293147 - 0.0279922i) q^{5} +(2.30582 - 0.331527i) q^{6} +(2.64245 + 0.132130i) q^{7} +(-2.79597 + 1.79686i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(0.161731 - 0.666665i) q^{10} +(3.62298 - 1.25392i) q^{11} +(0.648510 - 3.36479i) q^{12} +(0.269748 + 0.918678i) q^{13} +(2.30419 - 5.71644i) q^{14} +(0.159208 + 0.247733i) q^{15} +(0.209575 + 0.863878i) q^{16} +(-5.89142 - 2.35857i) q^{17} +(1.35126 + 1.89758i) q^{18} +(6.87516 - 2.75240i) q^{19} +(-0.848910 - 0.545561i) q^{20} +(1.09340 + 2.40925i) q^{21} -8.93103i q^{22} +(-4.65407 + 1.15742i) q^{23} +(-2.87830 - 1.66179i) q^{24} +(-4.82449 + 0.929845i) q^{25} +(2.22791 + 0.106128i) q^{26} +(-0.989821 - 0.142315i) q^{27} +(-6.83776 - 5.95328i) q^{28} +(0.806382 + 5.60851i) q^{29} +(0.666665 - 0.161731i) q^{30} +(7.80134 - 0.371623i) q^{31} +(-4.55562 - 0.435009i) q^{32} +(2.77468 + 2.64565i) q^{33} +(-9.68094 + 11.1724i) q^{34} +(0.778326 - 0.0352344i) q^{35} +(3.28791 - 0.965417i) q^{36} +(-5.92195 - 4.21700i) q^{37} +(-0.820868 - 17.2321i) q^{38} +(-0.692948 + 0.660725i) q^{39} +(-0.769332 + 0.605009i) q^{40} +(1.00238 + 0.457770i) q^{41} +(6.13682 - 0.571375i) q^{42} +(-4.84633 + 7.54104i) q^{43} +(-12.4149 - 4.29684i) q^{44} +(-0.147240 + 0.255028i) q^{45} +(-0.998042 + 11.1274i) q^{46} +(4.82632 - 2.78648i) q^{47} +(-0.671813 + 0.582129i) q^{48} +(6.96508 + 0.698294i) q^{49} +(-1.62888 + 11.3291i) q^{50} +(-0.603226 - 6.31727i) q^{51} +(1.21941 - 3.04593i) q^{52} +(-3.35501 - 3.51863i) q^{53} +(-1.06745 + 2.07057i) q^{54} +(1.02697 - 0.468999i) q^{55} +(-7.62562 + 4.37868i) q^{56} +(5.59681 + 4.84967i) q^{57} +(12.9610 + 2.49803i) q^{58} +(-6.04028 - 1.46536i) q^{59} +(0.0959211 - 1.00453i) q^{60} +(12.8981 + 6.64944i) q^{61} +(5.12586 - 17.4571i) q^{62} +(-1.64040 + 2.07583i) q^{63} +(-5.16718 + 11.3145i) q^{64} +(0.104792 + 0.261757i) q^{65} +(7.93822 - 4.09244i) q^{66} +(2.31448 + 12.0086i) q^{67} +(10.8730 + 18.8325i) q^{68} +(-3.16138 - 3.60634i) q^{69} +(0.515453 - 1.74026i) q^{70} +(-5.34550 - 6.16904i) q^{71} +(0.158142 - 3.31981i) q^{72} +(-5.18603 + 6.59457i) q^{73} +(-13.7954 + 9.82364i) q^{74} +(-3.03719 - 3.86210i) q^{75} +(-24.3491 - 7.14953i) q^{76} +(9.73921 - 2.83473i) q^{77} +(0.926557 + 2.02888i) q^{78} +(-6.46968 + 6.78520i) q^{79} +(0.0856181 + 0.247377i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(1.77147 - 1.85786i) q^{82} +(5.68349 + 12.4451i) q^{83} +(2.15824 - 8.80560i) q^{84} +(-1.79308 - 0.526495i) q^{85} +(12.9084 + 16.4144i) q^{86} +(-4.61553 + 3.28671i) q^{87} +(-7.87659 + 10.0159i) q^{88} +(-0.0342359 + 0.718699i) q^{89} +(0.449236 + 0.518446i) q^{90} +(0.591411 + 2.46320i) q^{91} +(14.9878 + 6.74089i) q^{92} +(3.90509 + 6.76382i) q^{93} +(-2.45693 - 12.7478i) q^{94} +(1.93839 - 0.999309i) q^{95} +(-1.70085 - 4.24853i) q^{96} +(-3.88567 + 8.50844i) q^{97} +(6.84403 - 14.8010i) q^{98} +(-1.08012 + 3.67854i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9} + 4 q^{18} - 28 q^{23} + 56 q^{25} - 84 q^{26} - 176 q^{28} - 24 q^{29} + 12 q^{31} + 36 q^{32} - 76 q^{35} + 28 q^{36} + 44 q^{37} - 110 q^{42} - 88 q^{43} + 154 q^{44} + 8 q^{46} + 12 q^{47} - 8 q^{49} - 212 q^{50} + 44 q^{51} + 108 q^{52} - 110 q^{56} - 88 q^{57} + 2 q^{58} - 36 q^{59} - 168 q^{64} - 48 q^{70} + 16 q^{71} + 12 q^{72} - 48 q^{73} - 22 q^{74} + 48 q^{75} + 32 q^{78} - 44 q^{79} - 594 q^{80} + 32 q^{81} + 24 q^{82} + 352 q^{85} - 36 q^{87} - 330 q^{88} + 244 q^{92} - 24 q^{93} - 486 q^{94} - 154 q^{95} - 60 q^{96} - 24 q^{98} - 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.761915 2.20141i 0.538755 1.55663i −0.266581 0.963812i \(-0.585894\pi\)
0.805336 0.592818i \(-0.201985\pi\)
\(3\) 0.458227 + 0.888835i 0.264557 + 0.513169i
\(4\) −2.69358 2.11825i −1.34679 1.05913i
\(5\) 0.293147 0.0279922i 0.131099 0.0125185i −0.0293000 0.999571i \(-0.509328\pi\)
0.160399 + 0.987052i \(0.448722\pi\)
\(6\) 2.30582 0.331527i 0.941347 0.135345i
\(7\) 2.64245 + 0.132130i 0.998752 + 0.0499404i
\(8\) −2.79597 + 1.79686i −0.988523 + 0.635285i
\(9\) −0.580057 + 0.814576i −0.193352 + 0.271525i
\(10\) 0.161731 0.666665i 0.0511439 0.210818i
\(11\) 3.62298 1.25392i 1.09237 0.378072i 0.279278 0.960210i \(-0.409905\pi\)
0.813090 + 0.582138i \(0.197784\pi\)
\(12\) 0.648510 3.36479i 0.187209 0.971331i
\(13\) 0.269748 + 0.918678i 0.0748147 + 0.254796i 0.988405 0.151840i \(-0.0485200\pi\)
−0.913590 + 0.406636i \(0.866702\pi\)
\(14\) 2.30419 5.71644i 0.615822 1.52778i
\(15\) 0.159208 + 0.247733i 0.0411074 + 0.0639644i
\(16\) 0.209575 + 0.863878i 0.0523937 + 0.215970i
\(17\) −5.89142 2.35857i −1.42888 0.572037i −0.477108 0.878844i \(-0.658315\pi\)
−0.951772 + 0.306807i \(0.900739\pi\)
\(18\) 1.35126 + 1.89758i 0.318495 + 0.447264i
\(19\) 6.87516 2.75240i 1.57727 0.631444i 0.592542 0.805540i \(-0.298125\pi\)
0.984729 + 0.174096i \(0.0557003\pi\)
\(20\) −0.848910 0.545561i −0.189822 0.121991i
\(21\) 1.09340 + 2.40925i 0.238599 + 0.525741i
\(22\) 8.93103i 1.90410i
\(23\) −4.65407 + 1.15742i −0.970441 + 0.241340i
\(24\) −2.87830 1.66179i −0.587530 0.339211i
\(25\) −4.82449 + 0.929845i −0.964898 + 0.185969i
\(26\) 2.22791 + 0.106128i 0.436929 + 0.0208135i
\(27\) −0.989821 0.142315i −0.190491 0.0273885i
\(28\) −6.83776 5.95328i −1.29222 1.12506i
\(29\) 0.806382 + 5.60851i 0.149741 + 1.04147i 0.916642 + 0.399708i \(0.130889\pi\)
−0.766901 + 0.641765i \(0.778202\pi\)
\(30\) 0.666665 0.161731i 0.121716 0.0295279i
\(31\) 7.80134 0.371623i 1.40116 0.0667455i 0.666665 0.745358i \(-0.267721\pi\)
0.734497 + 0.678612i \(0.237418\pi\)
\(32\) −4.55562 0.435009i −0.805327 0.0768994i
\(33\) 2.77468 + 2.64565i 0.483009 + 0.460548i
\(34\) −9.68094 + 11.1724i −1.66027 + 1.91605i
\(35\) 0.778326 0.0352344i 0.131561 0.00595570i
\(36\) 3.28791 0.965417i 0.547985 0.160903i
\(37\) −5.92195 4.21700i −0.973563 0.693271i −0.0216901 0.999765i \(-0.506905\pi\)
−0.951873 + 0.306494i \(0.900844\pi\)
\(38\) −0.820868 17.2321i −0.133162 2.79542i
\(39\) −0.692948 + 0.660725i −0.110960 + 0.105801i
\(40\) −0.769332 + 0.605009i −0.121642 + 0.0956604i
\(41\) 1.00238 + 0.457770i 0.156545 + 0.0714917i 0.492147 0.870512i \(-0.336212\pi\)
−0.335602 + 0.942004i \(0.608940\pi\)
\(42\) 6.13682 0.571375i 0.946931 0.0881651i
\(43\) −4.84633 + 7.54104i −0.739059 + 1.15000i 0.244542 + 0.969639i \(0.421362\pi\)
−0.983601 + 0.180359i \(0.942274\pi\)
\(44\) −12.4149 4.29684i −1.87162 0.647773i
\(45\) −0.147240 + 0.255028i −0.0219493 + 0.0380173i
\(46\) −0.998042 + 11.1274i −0.147153 + 1.64064i
\(47\) 4.82632 2.78648i 0.703991 0.406450i −0.104841 0.994489i \(-0.533433\pi\)
0.808832 + 0.588039i \(0.200100\pi\)
\(48\) −0.671813 + 0.582129i −0.0969679 + 0.0840231i
\(49\) 6.96508 + 0.698294i 0.995012 + 0.0997562i
\(50\) −1.62888 + 11.3291i −0.230359 + 1.60218i
\(51\) −0.603226 6.31727i −0.0844685 0.884594i
\(52\) 1.21941 3.04593i 0.169101 0.422394i
\(53\) −3.35501 3.51863i −0.460846 0.483322i 0.451773 0.892133i \(-0.350792\pi\)
−0.912619 + 0.408811i \(0.865943\pi\)
\(54\) −1.06745 + 2.07057i −0.145262 + 0.281769i
\(55\) 1.02697 0.468999i 0.138476 0.0632399i
\(56\) −7.62562 + 4.37868i −1.01902 + 0.585125i
\(57\) 5.59681 + 4.84967i 0.741316 + 0.642354i
\(58\) 12.9610 + 2.49803i 1.70186 + 0.328007i
\(59\) −6.04028 1.46536i −0.786377 0.190773i −0.177588 0.984105i \(-0.556829\pi\)
−0.608789 + 0.793332i \(0.708345\pi\)
\(60\) 0.0959211 1.00453i 0.0123834 0.129684i
\(61\) 12.8981 + 6.64944i 1.65144 + 0.851374i 0.995312 + 0.0967205i \(0.0308353\pi\)
0.656124 + 0.754654i \(0.272195\pi\)
\(62\) 5.12586 17.4571i 0.650985 2.21705i
\(63\) −1.64040 + 2.07583i −0.206671 + 0.261530i
\(64\) −5.16718 + 11.3145i −0.645897 + 1.41432i
\(65\) 0.104792 + 0.261757i 0.0129978 + 0.0324670i
\(66\) 7.93822 4.09244i 0.977127 0.503744i
\(67\) 2.31448 + 12.0086i 0.282758 + 1.46709i 0.794140 + 0.607735i \(0.207922\pi\)
−0.511381 + 0.859354i \(0.670866\pi\)
\(68\) 10.8730 + 18.8325i 1.31854 + 2.28378i
\(69\) −3.16138 3.60634i −0.380585 0.434152i
\(70\) 0.515453 1.74026i 0.0616084 0.208001i
\(71\) −5.34550 6.16904i −0.634394 0.732130i 0.343979 0.938977i \(-0.388225\pi\)
−0.978373 + 0.206847i \(0.933680\pi\)
\(72\) 0.158142 3.31981i 0.0186372 0.391243i
\(73\) −5.18603 + 6.59457i −0.606979 + 0.771836i −0.988286 0.152612i \(-0.951231\pi\)
0.381308 + 0.924448i \(0.375474\pi\)
\(74\) −13.7954 + 9.82364i −1.60368 + 1.14197i
\(75\) −3.03719 3.86210i −0.350704 0.445957i
\(76\) −24.3491 7.14953i −2.79303 0.820108i
\(77\) 9.73921 2.83473i 1.10989 0.323047i
\(78\) 0.926557 + 2.02888i 0.104912 + 0.229725i
\(79\) −6.46968 + 6.78520i −0.727896 + 0.763395i −0.978845 0.204605i \(-0.934409\pi\)
0.250949 + 0.968000i \(0.419257\pi\)
\(80\) 0.0856181 + 0.247377i 0.00957239 + 0.0276576i
\(81\) −0.327068 0.945001i −0.0363409 0.105000i
\(82\) 1.77147 1.85786i 0.195626 0.205166i
\(83\) 5.68349 + 12.4451i 0.623844 + 1.36603i 0.912690 + 0.408653i \(0.134001\pi\)
−0.288846 + 0.957376i \(0.593271\pi\)
\(84\) 2.15824 8.80560i 0.235484 0.960769i
\(85\) −1.79308 0.526495i −0.194486 0.0571064i
\(86\) 12.9084 + 16.4144i 1.39195 + 1.77001i
\(87\) −4.61553 + 3.28671i −0.494837 + 0.352372i
\(88\) −7.87659 + 10.0159i −0.839648 + 1.06770i
\(89\) −0.0342359 + 0.718699i −0.00362899 + 0.0761820i −0.999955 0.00945633i \(-0.996990\pi\)
0.996326 + 0.0856383i \(0.0272929\pi\)
\(90\) 0.449236 + 0.518446i 0.0473536 + 0.0546490i
\(91\) 0.591411 + 2.46320i 0.0619968 + 0.258214i
\(92\) 14.9878 + 6.74089i 1.56259 + 0.702786i
\(93\) 3.90509 + 6.76382i 0.404939 + 0.701375i
\(94\) −2.45693 12.7478i −0.253413 1.31483i
\(95\) 1.93839 0.999309i 0.198875 0.102527i
\(96\) −1.70085 4.24853i −0.173593 0.433613i
\(97\) −3.88567 + 8.50844i −0.394530 + 0.863901i 0.603265 + 0.797540i \(0.293866\pi\)
−0.997796 + 0.0663603i \(0.978861\pi\)
\(98\) 6.84403 14.8010i 0.691351 1.49512i
\(99\) −1.08012 + 3.67854i −0.108556 + 0.369707i
\(100\) 14.9648 + 7.71489i 1.49648 + 0.771489i
\(101\) 0.421705 4.41629i 0.0419612 0.439438i −0.949941 0.312431i \(-0.898857\pi\)
0.991902 0.127007i \(-0.0405371\pi\)
\(102\) −14.3665 3.48527i −1.42249 0.345093i
\(103\) −10.9634 2.11302i −1.08025 0.208202i −0.382080 0.924129i \(-0.624792\pi\)
−0.698175 + 0.715927i \(0.746004\pi\)
\(104\) −2.40494 2.08389i −0.235824 0.204343i
\(105\) 0.387967 + 0.675658i 0.0378617 + 0.0659375i
\(106\) −10.3022 + 4.70485i −1.00064 + 0.456975i
\(107\) 3.99084 7.74115i 0.385809 0.748365i −0.613331 0.789826i \(-0.710171\pi\)
0.999140 + 0.0414606i \(0.0132011\pi\)
\(108\) 2.36470 + 2.48003i 0.227544 + 0.238641i
\(109\) 3.95111 9.86940i 0.378448 0.945317i −0.609814 0.792545i \(-0.708756\pi\)
0.988261 0.152772i \(-0.0488200\pi\)
\(110\) −0.249999 2.61811i −0.0238365 0.249627i
\(111\) 1.03463 7.19598i 0.0982024 0.683012i
\(112\) 0.439646 + 2.31045i 0.0415427 + 0.218317i
\(113\) 2.07327 1.79650i 0.195037 0.169000i −0.551868 0.833932i \(-0.686085\pi\)
0.746905 + 0.664931i \(0.231539\pi\)
\(114\) 14.9404 8.62584i 1.39930 0.807884i
\(115\) −1.33193 + 0.469573i −0.124203 + 0.0437879i
\(116\) 9.70819 16.8151i 0.901383 1.56124i
\(117\) −0.904803 0.313155i −0.0836490 0.0289512i
\(118\) −7.82803 + 12.1806i −0.720628 + 1.12132i
\(119\) −15.2562 7.01084i −1.39853 0.642682i
\(120\) −0.890282 0.406578i −0.0812713 0.0371153i
\(121\) 2.90705 2.28613i 0.264277 0.207830i
\(122\) 24.4654 23.3277i 2.21499 2.11199i
\(123\) 0.0524333 + 1.10071i 0.00472775 + 0.0992478i
\(124\) −21.8007 15.5242i −1.95776 1.39412i
\(125\) −2.80102 + 0.822453i −0.250531 + 0.0735625i
\(126\) 3.31991 + 5.19280i 0.295761 + 0.462611i
\(127\) 3.92383 4.52834i 0.348184 0.401825i −0.554463 0.832209i \(-0.687076\pi\)
0.902646 + 0.430383i \(0.141622\pi\)
\(128\) 14.3469 + 13.6797i 1.26810 + 1.20913i
\(129\) −8.92346 0.852087i −0.785667 0.0750221i
\(130\) 0.656077 0.0312528i 0.0575418 0.00274105i
\(131\) −8.01044 + 1.94331i −0.699875 + 0.169788i −0.569881 0.821727i \(-0.693011\pi\)
−0.129994 + 0.991515i \(0.541496\pi\)
\(132\) −1.86965 13.0037i −0.162732 1.13183i
\(133\) 18.5309 6.36466i 1.60684 0.551886i
\(134\) 28.1994 + 4.05446i 2.43605 + 0.350252i
\(135\) −0.294147 0.0140120i −0.0253162 0.00120596i
\(136\) 20.7102 3.99157i 1.77589 0.342274i
\(137\) −5.80675 3.35253i −0.496104 0.286426i 0.230999 0.972954i \(-0.425800\pi\)
−0.727103 + 0.686528i \(0.759134\pi\)
\(138\) −10.3477 + 4.21176i −0.880857 + 0.358529i
\(139\) 9.54236i 0.809372i −0.914456 0.404686i \(-0.867381\pi\)
0.914456 0.404686i \(-0.132619\pi\)
\(140\) −2.17112 1.55378i −0.183493 0.131319i
\(141\) 4.68827 + 3.01297i 0.394824 + 0.253738i
\(142\) −17.6534 + 7.06735i −1.48144 + 0.593079i
\(143\) 2.12924 + 2.99011i 0.178056 + 0.250045i
\(144\) −0.825260 0.330384i −0.0687716 0.0275320i
\(145\) 0.393383 + 1.62155i 0.0326687 + 0.134662i
\(146\) 10.5660 + 16.4411i 0.874451 + 1.36067i
\(147\) 2.57092 + 6.51079i 0.212046 + 0.537001i
\(148\) 7.01856 + 23.9030i 0.576922 + 1.96482i
\(149\) −1.65477 + 8.58574i −0.135564 + 0.703371i 0.849007 + 0.528382i \(0.177201\pi\)
−0.984570 + 0.174989i \(0.944011\pi\)
\(150\) −10.8161 + 3.74350i −0.883134 + 0.305656i
\(151\) −3.26174 + 13.4451i −0.265436 + 1.09414i 0.670482 + 0.741926i \(0.266087\pi\)
−0.935918 + 0.352217i \(0.885428\pi\)
\(152\) −14.2770 + 20.0493i −1.15802 + 1.62621i
\(153\) 5.33860 3.43091i 0.431600 0.277372i
\(154\) 1.18006 23.5998i 0.0950917 1.90173i
\(155\) 2.27654 0.327317i 0.182856 0.0262907i
\(156\) 3.26609 0.311874i 0.261497 0.0249699i
\(157\) 2.90454 + 2.28415i 0.231807 + 0.182295i 0.727306 0.686313i \(-0.240772\pi\)
−0.495498 + 0.868609i \(0.665015\pi\)
\(158\) 10.0077 + 19.4122i 0.796167 + 1.54435i
\(159\) 1.59013 4.59438i 0.126106 0.364358i
\(160\) −1.34764 −0.106541
\(161\) −12.4511 + 2.44349i −0.981282 + 0.192574i
\(162\) −2.32953 −0.183025
\(163\) 3.61163 10.4351i 0.282885 0.817342i −0.710622 0.703574i \(-0.751587\pi\)
0.993507 0.113768i \(-0.0362922\pi\)
\(164\) −1.73031 3.35633i −0.135114 0.262085i
\(165\) 0.887446 + 0.697895i 0.0690876 + 0.0543311i
\(166\) 31.7271 3.02957i 2.46250 0.235140i
\(167\) −10.0201 + 1.44067i −0.775377 + 0.111482i −0.518633 0.854997i \(-0.673559\pi\)
−0.256744 + 0.966479i \(0.582650\pi\)
\(168\) −7.38619 4.77150i −0.569857 0.368129i
\(169\) 10.1651 6.53271i 0.781930 0.502516i
\(170\) −2.52520 + 3.54615i −0.193674 + 0.271977i
\(171\) −1.74595 + 7.19689i −0.133516 + 0.550360i
\(172\) 29.0278 10.0466i 2.21335 0.766048i
\(173\) −0.299288 + 1.55285i −0.0227545 + 0.118061i −0.991530 0.129878i \(-0.958541\pi\)
0.968775 + 0.247940i \(0.0797535\pi\)
\(174\) 3.71874 + 12.6649i 0.281917 + 0.960121i
\(175\) −12.8713 + 1.81961i −0.972982 + 0.137549i
\(176\) 1.84252 + 2.86702i 0.138885 + 0.216110i
\(177\) −1.46536 6.04028i −0.110143 0.454015i
\(178\) 1.55607 + 0.622955i 0.116632 + 0.0466924i
\(179\) 5.70023 + 8.00486i 0.426055 + 0.598311i 0.970682 0.240368i \(-0.0772680\pi\)
−0.544627 + 0.838679i \(0.683329\pi\)
\(180\) 0.936817 0.375045i 0.0698262 0.0279542i
\(181\) 1.82816 + 1.17489i 0.135886 + 0.0873288i 0.606818 0.794841i \(-0.292446\pi\)
−0.470932 + 0.882170i \(0.656082\pi\)
\(182\) 5.87312 + 0.574813i 0.435345 + 0.0426080i
\(183\) 14.5113i 1.07270i
\(184\) 10.9329 11.5988i 0.805984 0.855077i
\(185\) −1.85405 1.07043i −0.136312 0.0786999i
\(186\) 17.8653 3.44325i 1.30994 0.252471i
\(187\) −24.3020 1.15764i −1.77713 0.0846554i
\(188\) −18.9025 2.71778i −1.37861 0.198214i
\(189\) −2.59675 0.506845i −0.188886 0.0368675i
\(190\) −0.723000 5.02858i −0.0524519 0.364811i
\(191\) −20.1304 + 4.88358i −1.45659 + 0.353364i −0.884388 0.466752i \(-0.845424\pi\)
−0.572197 + 0.820116i \(0.693909\pi\)
\(192\) −12.4245 + 0.591852i −0.896662 + 0.0427133i
\(193\) −5.13129 0.489979i −0.369359 0.0352695i −0.0912733 0.995826i \(-0.529094\pi\)
−0.278085 + 0.960556i \(0.589700\pi\)
\(194\) 15.7700 + 15.0367i 1.13222 + 1.07957i
\(195\) −0.184641 + 0.213087i −0.0132224 + 0.0152595i
\(196\) −17.2818 16.6347i −1.23442 1.18819i
\(197\) −10.8641 + 3.18999i −0.774035 + 0.227277i −0.644815 0.764339i \(-0.723066\pi\)
−0.129220 + 0.991616i \(0.541247\pi\)
\(198\) 7.27500 + 5.18051i 0.517012 + 0.368163i
\(199\) −0.230378 4.83623i −0.0163311 0.342831i −0.992215 0.124540i \(-0.960255\pi\)
0.975884 0.218292i \(-0.0700484\pi\)
\(200\) 11.8183 11.2687i 0.835681 0.796820i
\(201\) −9.61315 + 7.55987i −0.678060 + 0.533232i
\(202\) −9.40076 4.29318i −0.661435 0.302067i
\(203\) 1.38977 + 14.9267i 0.0975428 + 1.04765i
\(204\) −11.7567 + 18.2938i −0.823136 + 1.28082i
\(205\) 0.306658 + 0.106135i 0.0214179 + 0.00741282i
\(206\) −13.0048 + 22.5249i −0.906086 + 1.56939i
\(207\) 1.75682 4.46247i 0.122107 0.310163i
\(208\) −0.737094 + 0.425561i −0.0511083 + 0.0295074i
\(209\) 21.4572 18.5928i 1.48423 1.28609i
\(210\) 1.78300 0.339280i 0.123038 0.0234125i
\(211\) 1.54638 10.7553i 0.106457 0.740424i −0.864753 0.502198i \(-0.832525\pi\)
0.971210 0.238226i \(-0.0765660\pi\)
\(212\) 1.58363 + 16.5845i 0.108764 + 1.13903i
\(213\) 3.03381 7.57809i 0.207873 0.519242i
\(214\) −14.0008 14.6836i −0.957072 1.00375i
\(215\) −1.20960 + 2.34630i −0.0824940 + 0.160016i
\(216\) 3.02323 1.38066i 0.205705 0.0939421i
\(217\) 20.6637 + 0.0487938i 1.40275 + 0.00331234i
\(218\) −18.7162 16.2177i −1.26762 1.09840i
\(219\) −8.23786 1.58772i −0.556663 0.107288i
\(220\) −3.75967 0.912087i −0.253477 0.0614929i
\(221\) 0.577566 6.04854i 0.0388513 0.406869i
\(222\) −15.0530 7.76036i −1.01029 0.520841i
\(223\) −0.0951166 + 0.323937i −0.00636948 + 0.0216925i −0.962616 0.270868i \(-0.912689\pi\)
0.956247 + 0.292561i \(0.0945074\pi\)
\(224\) −11.9805 1.75142i −0.800482 0.117022i
\(225\) 2.04105 4.46928i 0.136070 0.297952i
\(226\) −2.37517 5.93289i −0.157994 0.394650i
\(227\) 19.7220 10.1674i 1.30899 0.674833i 0.344462 0.938800i \(-0.388061\pi\)
0.964532 + 0.263967i \(0.0850311\pi\)
\(228\) −4.80263 24.9184i −0.318062 1.65026i
\(229\) −3.40149 5.89156i −0.224777 0.389325i 0.731476 0.681868i \(-0.238832\pi\)
−0.956252 + 0.292543i \(0.905499\pi\)
\(230\) 0.0189060 + 3.28990i 0.00124662 + 0.216929i
\(231\) 6.98237 + 7.35761i 0.459406 + 0.484095i
\(232\) −12.3323 14.2322i −0.809656 0.934393i
\(233\) 1.01379 21.2820i 0.0664153 1.39423i −0.682171 0.731192i \(-0.738964\pi\)
0.748587 0.663037i \(-0.230733\pi\)
\(234\) −1.37876 + 1.75324i −0.0901327 + 0.114613i
\(235\) 1.33682 0.951948i 0.0872048 0.0620982i
\(236\) 13.1660 + 16.7419i 0.857032 + 1.08980i
\(237\) −8.99551 2.64132i −0.584321 0.171572i
\(238\) −27.0576 + 28.2434i −1.75388 + 1.83075i
\(239\) −2.71005 5.93419i −0.175299 0.383851i 0.801505 0.597988i \(-0.204033\pi\)
−0.976803 + 0.214138i \(0.931306\pi\)
\(240\) −0.180645 + 0.189455i −0.0116606 + 0.0122293i
\(241\) 9.48663 + 27.4098i 0.611087 + 1.76562i 0.642697 + 0.766120i \(0.277815\pi\)
−0.0316097 + 0.999500i \(0.510063\pi\)
\(242\) −2.81778 8.14143i −0.181133 0.523351i
\(243\) 0.690079 0.723734i 0.0442686 0.0464276i
\(244\) −20.6569 45.2323i −1.32242 2.89570i
\(245\) 2.06134 + 0.00973505i 0.131694 + 0.000621950i
\(246\) 2.46306 + 0.723221i 0.157039 + 0.0461109i
\(247\) 4.38313 + 5.57361i 0.278892 + 0.354640i
\(248\) −21.1445 + 15.0569i −1.34268 + 0.956117i
\(249\) −8.45733 + 10.7544i −0.535961 + 0.681530i
\(250\) −0.323582 + 6.79283i −0.0204651 + 0.429616i
\(251\) −10.3405 11.9336i −0.652688 0.753242i 0.328877 0.944373i \(-0.393330\pi\)
−0.981565 + 0.191131i \(0.938785\pi\)
\(252\) 8.81569 2.11663i 0.555336 0.133335i
\(253\) −15.4103 + 10.0292i −0.968835 + 0.630529i
\(254\) −6.97910 12.0882i −0.437908 0.758479i
\(255\) −0.353668 1.83500i −0.0221475 0.114912i
\(256\) 18.9340 9.76116i 1.18338 0.610073i
\(257\) −3.87750 9.68552i −0.241872 0.604166i 0.756910 0.653519i \(-0.226708\pi\)
−0.998781 + 0.0493533i \(0.984284\pi\)
\(258\) −8.67471 + 18.9950i −0.540064 + 1.18258i
\(259\) −15.0913 11.9257i −0.937726 0.741026i
\(260\) 0.272203 0.927039i 0.0168813 0.0574925i
\(261\) −5.03630 2.59639i −0.311739 0.160713i
\(262\) −1.82525 + 19.1149i −0.112764 + 1.18092i
\(263\) −2.32574 0.564218i −0.143411 0.0347912i 0.163411 0.986558i \(-0.447750\pi\)
−0.306822 + 0.951767i \(0.599266\pi\)
\(264\) −12.5118 2.41144i −0.770045 0.148414i
\(265\) −1.08201 0.937564i −0.0664671 0.0575941i
\(266\) 0.107779 45.6435i 0.00660836 2.79858i
\(267\) −0.654493 + 0.298897i −0.0400543 + 0.0182922i
\(268\) 19.2031 37.2489i 1.17302 2.27534i
\(269\) 4.93605 + 5.17678i 0.300957 + 0.315634i 0.856796 0.515656i \(-0.172452\pi\)
−0.555839 + 0.831290i \(0.687603\pi\)
\(270\) −0.254961 + 0.636862i −0.0155164 + 0.0387582i
\(271\) −1.19175 12.4806i −0.0723939 0.758143i −0.956669 0.291177i \(-0.905953\pi\)
0.884275 0.466966i \(-0.154653\pi\)
\(272\) 0.802825 5.58377i 0.0486784 0.338566i
\(273\) −1.91838 + 1.65437i −0.116106 + 0.100127i
\(274\) −11.8045 + 10.2287i −0.713137 + 0.617937i
\(275\) −16.3131 + 9.41835i −0.983715 + 0.567948i
\(276\) 0.876277 + 16.4106i 0.0527457 + 0.987800i
\(277\) 1.93862 3.35778i 0.116480 0.201750i −0.801890 0.597471i \(-0.796172\pi\)
0.918370 + 0.395722i \(0.129506\pi\)
\(278\) −21.0066 7.27047i −1.25989 0.436054i
\(279\) −4.22250 + 6.57034i −0.252795 + 0.393356i
\(280\) −2.11286 + 1.49706i −0.126268 + 0.0894662i
\(281\) −8.22994 3.75849i −0.490957 0.224213i 0.154524 0.987989i \(-0.450616\pi\)
−0.645481 + 0.763776i \(0.723343\pi\)
\(282\) 10.2048 8.02517i 0.607689 0.477892i
\(283\) −13.7078 + 13.0704i −0.814844 + 0.776953i −0.977769 0.209686i \(-0.932756\pi\)
0.162924 + 0.986639i \(0.447907\pi\)
\(284\) 1.33094 + 27.9399i 0.0789769 + 1.65793i
\(285\) 1.77644 + 1.26500i 0.105227 + 0.0749321i
\(286\) 8.20475 2.40913i 0.485157 0.142455i
\(287\) 2.58825 + 1.34208i 0.152779 + 0.0792204i
\(288\) 2.99687 3.45857i 0.176592 0.203798i
\(289\) 16.8425 + 16.0593i 0.990737 + 0.944666i
\(290\) 3.86941 + 0.369484i 0.227220 + 0.0216968i
\(291\) −9.34312 + 0.445068i −0.547703 + 0.0260903i
\(292\) 27.9379 6.77767i 1.63494 0.396633i
\(293\) 2.10516 + 14.6417i 0.122985 + 0.855377i 0.954145 + 0.299345i \(0.0967680\pi\)
−0.831160 + 0.556033i \(0.812323\pi\)
\(294\) 16.2917 0.698973i 0.950153 0.0407649i
\(295\) −1.81171 0.260485i −0.105482 0.0151660i
\(296\) 24.1349 + 1.14969i 1.40281 + 0.0668243i
\(297\) −3.76455 + 0.725558i −0.218441 + 0.0421011i
\(298\) 17.6399 + 10.1844i 1.02185 + 0.589968i
\(299\) −2.31873 3.96338i −0.134095 0.229208i
\(300\) 16.8364i 0.972050i
\(301\) −13.8026 + 19.2865i −0.795568 + 1.11165i
\(302\) 27.1129 + 17.4244i 1.56017 + 1.00266i
\(303\) 4.11859 1.64884i 0.236607 0.0947232i
\(304\) 3.81860 + 5.36247i 0.219012 + 0.307559i
\(305\) 3.96718 + 1.58822i 0.227160 + 0.0909412i
\(306\) −3.48527 14.3665i −0.199240 0.821277i
\(307\) 0.522094 + 0.812394i 0.0297975 + 0.0463658i 0.855833 0.517253i \(-0.173045\pi\)
−0.826035 + 0.563618i \(0.809409\pi\)
\(308\) −32.2380 12.9946i −1.83693 0.740434i
\(309\) −3.14559 10.7129i −0.178946 0.609435i
\(310\) 1.01397 5.26098i 0.0575896 0.298803i
\(311\) 3.15268 1.09115i 0.178772 0.0618736i −0.236216 0.971701i \(-0.575907\pi\)
0.414988 + 0.909827i \(0.363786\pi\)
\(312\) 0.750231 3.09249i 0.0424735 0.175078i
\(313\) 10.5711 14.8450i 0.597511 0.839087i −0.399469 0.916747i \(-0.630805\pi\)
0.996980 + 0.0776597i \(0.0247448\pi\)
\(314\) 7.24137 4.65374i 0.408654 0.262626i
\(315\) −0.422772 + 0.654443i −0.0238205 + 0.0368737i
\(316\) 31.7994 4.57206i 1.78885 0.257198i
\(317\) −28.9499 + 2.76438i −1.62599 + 0.155263i −0.867848 0.496830i \(-0.834497\pi\)
−0.758139 + 0.652093i \(0.773891\pi\)
\(318\) −8.90257 7.00106i −0.499231 0.392600i
\(319\) 9.95414 + 19.3083i 0.557325 + 1.08106i
\(320\) −1.19803 + 3.46147i −0.0669717 + 0.193502i
\(321\) 8.70932 0.486107
\(322\) −4.10753 + 29.2716i −0.228904 + 1.63124i
\(323\) −46.9962 −2.61494
\(324\) −1.12077 + 3.23825i −0.0622649 + 0.179903i
\(325\) −2.15563 4.18133i −0.119573 0.231939i
\(326\) −20.2202 15.9014i −1.11989 0.880694i
\(327\) 10.5828 1.01053i 0.585229 0.0558826i
\(328\) −3.62516 + 0.521219i −0.200166 + 0.0287795i
\(329\) 13.1215 6.72543i 0.723411 0.370785i
\(330\) 2.21251 1.42189i 0.121795 0.0782727i
\(331\) 17.8769 25.1046i 0.982603 1.37987i 0.0582637 0.998301i \(-0.481444\pi\)
0.924339 0.381572i \(-0.124617\pi\)
\(332\) 11.0530 45.5610i 0.606610 2.50048i
\(333\) 6.87014 2.37778i 0.376481 0.130301i
\(334\) −4.46295 + 23.1560i −0.244202 + 1.26704i
\(335\) 1.01463 + 3.45551i 0.0554352 + 0.188795i
\(336\) −1.85215 + 1.44948i −0.101043 + 0.0790757i
\(337\) 3.59916 + 5.60040i 0.196059 + 0.305073i 0.925338 0.379143i \(-0.123781\pi\)
−0.729280 + 0.684216i \(0.760145\pi\)
\(338\) −6.63622 27.3549i −0.360963 1.48791i
\(339\) 2.54682 + 1.01959i 0.138324 + 0.0553767i
\(340\) 3.71454 + 5.21634i 0.201449 + 0.282896i
\(341\) 27.7981 11.1287i 1.50535 0.602651i
\(342\) 14.5130 + 9.32696i 0.784775 + 0.504344i
\(343\) 18.3126 + 2.76550i 0.988788 + 0.149323i
\(344\) 29.7927i 1.60631i
\(345\) −1.02770 0.968695i −0.0553294 0.0521528i
\(346\) 3.19043 + 1.84200i 0.171519 + 0.0990264i
\(347\) 31.0961 5.99328i 1.66933 0.321736i 0.734976 0.678093i \(-0.237193\pi\)
0.934350 + 0.356357i \(0.115981\pi\)
\(348\) 19.3944 + 0.923868i 1.03965 + 0.0495245i
\(349\) −8.91783 1.28219i −0.477360 0.0686341i −0.100565 0.994931i \(-0.532065\pi\)
−0.376796 + 0.926296i \(0.622974\pi\)
\(350\) −5.80116 + 29.7215i −0.310085 + 1.58868i
\(351\) −0.136261 0.947717i −0.00727308 0.0505854i
\(352\) −17.0504 + 4.13637i −0.908787 + 0.220469i
\(353\) 30.2644 1.44167i 1.61081 0.0767324i 0.777261 0.629178i \(-0.216608\pi\)
0.833549 + 0.552445i \(0.186305\pi\)
\(354\) −14.4136 1.37633i −0.766074 0.0731512i
\(355\) −1.73970 1.65880i −0.0923339 0.0880402i
\(356\) 1.61460 1.86335i 0.0855738 0.0987575i
\(357\) −0.759294 16.7728i −0.0401861 0.887709i
\(358\) 21.9650 6.44952i 1.16089 0.340868i
\(359\) 25.0446 + 17.8341i 1.32180 + 0.941250i 0.999985 0.00555160i \(-0.00176714\pi\)
0.321817 + 0.946802i \(0.395707\pi\)
\(360\) −0.0465697 0.977619i −0.00245444 0.0515251i
\(361\) 25.9412 24.7349i 1.36533 1.30184i
\(362\) 3.97932 3.12937i 0.209148 0.164476i
\(363\) 3.36407 + 1.53632i 0.176568 + 0.0806360i
\(364\) 3.62468 7.88759i 0.189985 0.413422i
\(365\) −1.33567 + 2.07835i −0.0699124 + 0.108786i
\(366\) 31.9452 + 11.0563i 1.66980 + 0.577924i
\(367\) −0.404825 + 0.701177i −0.0211317 + 0.0366012i −0.876398 0.481588i \(-0.840060\pi\)
0.855266 + 0.518189i \(0.173394\pi\)
\(368\) −1.97525 3.77798i −0.102967 0.196941i
\(369\) −0.954324 + 0.550979i −0.0496801 + 0.0286828i
\(370\) −3.76909 + 3.26593i −0.195946 + 0.169788i
\(371\) −8.40053 9.74111i −0.436134 0.505733i
\(372\) 3.80881 26.4908i 0.197477 1.37349i
\(373\) −3.37632 35.3584i −0.174819 1.83079i −0.478585 0.878041i \(-0.658850\pi\)
0.303766 0.952747i \(-0.401756\pi\)
\(374\) −21.0645 + 52.6165i −1.08922 + 2.72073i
\(375\) −2.01453 2.11278i −0.104030 0.109103i
\(376\) −8.48733 + 16.4631i −0.437700 + 0.849021i
\(377\) −4.93489 + 2.25369i −0.254160 + 0.116071i
\(378\) −3.09427 + 5.33033i −0.159152 + 0.274163i
\(379\) −15.0795 13.0664i −0.774580 0.671177i 0.175047 0.984560i \(-0.443992\pi\)
−0.949627 + 0.313383i \(0.898538\pi\)
\(380\) −7.33799 1.41428i −0.376431 0.0725512i
\(381\) 5.82295 + 1.41263i 0.298319 + 0.0723714i
\(382\) −4.58689 + 48.0361i −0.234686 + 2.45774i
\(383\) 16.4401 + 8.47548i 0.840051 + 0.433077i 0.823861 0.566792i \(-0.191816\pi\)
0.0161906 + 0.999869i \(0.494846\pi\)
\(384\) −5.58490 + 19.0204i −0.285003 + 0.970632i
\(385\) 2.77567 1.10361i 0.141461 0.0562454i
\(386\) −4.98825 + 10.9227i −0.253895 + 0.555953i
\(387\) −3.33160 8.32194i −0.169355 0.423028i
\(388\) 28.4894 14.6873i 1.44633 0.745635i
\(389\) 0.715907 + 3.71448i 0.0362979 + 0.188332i 0.995552 0.0942132i \(-0.0300335\pi\)
−0.959254 + 0.282545i \(0.908821\pi\)
\(390\) 0.328410 + 0.568824i 0.0166297 + 0.0288035i
\(391\) 30.1490 + 4.15807i 1.52470 + 0.210283i
\(392\) −20.7289 + 10.5629i −1.04697 + 0.533505i
\(393\) −5.39788 6.22949i −0.272287 0.314236i
\(394\) −1.25505 + 26.3468i −0.0632287 + 1.32733i
\(395\) −1.70664 + 2.17016i −0.0858702 + 0.109193i
\(396\) 10.7014 7.62047i 0.537768 0.382943i
\(397\) −4.21281 5.35702i −0.211435 0.268861i 0.668755 0.743483i \(-0.266827\pi\)
−0.880190 + 0.474622i \(0.842585\pi\)
\(398\) −10.8220 3.17764i −0.542460 0.159281i
\(399\) 14.1485 + 13.5545i 0.708311 + 0.678574i
\(400\) −1.81436 3.97290i −0.0907182 0.198645i
\(401\) 13.5459 14.2065i 0.676451 0.709441i −0.292619 0.956229i \(-0.594527\pi\)
0.969069 + 0.246788i \(0.0793752\pi\)
\(402\) 9.31795 + 26.9225i 0.464737 + 1.34277i
\(403\) 2.44580 + 7.06667i 0.121834 + 0.352016i
\(404\) −10.4907 + 11.0024i −0.521933 + 0.547388i
\(405\) −0.122332 0.267869i −0.00607871 0.0133105i
\(406\) 33.9188 + 8.31346i 1.68336 + 0.412590i
\(407\) −26.7429 7.85242i −1.32560 0.389230i
\(408\) 13.0378 + 16.5790i 0.645469 + 0.820780i
\(409\) 22.3371 15.9062i 1.10450 0.786511i 0.125852 0.992049i \(-0.459834\pi\)
0.978649 + 0.205538i \(0.0658943\pi\)
\(410\) 0.467295 0.594214i 0.0230780 0.0293461i
\(411\) 0.319039 6.69746i 0.0157370 0.330361i
\(412\) 25.0548 + 28.9148i 1.23436 + 1.42453i
\(413\) −15.7675 4.67023i −0.775869 0.229807i
\(414\) −8.48517 7.26749i −0.417023 0.357178i
\(415\) 2.01447 + 3.48916i 0.0988862 + 0.171276i
\(416\) −0.829237 4.30249i −0.0406567 0.210947i
\(417\) 8.48159 4.37256i 0.415345 0.214125i
\(418\) −24.5818 61.4023i −1.20233 3.00328i
\(419\) −12.5269 + 27.4302i −0.611981 + 1.34005i 0.309229 + 0.950987i \(0.399929\pi\)
−0.921211 + 0.389064i \(0.872798\pi\)
\(420\) 0.386196 2.64175i 0.0188444 0.128904i
\(421\) −5.31917 + 18.1154i −0.259240 + 0.882891i 0.722291 + 0.691589i \(0.243089\pi\)
−0.981531 + 0.191302i \(0.938729\pi\)
\(422\) −22.4986 11.5988i −1.09521 0.564622i
\(423\) −0.529743 + 5.54772i −0.0257570 + 0.269739i
\(424\) 15.7030 + 3.80950i 0.762604 + 0.185006i
\(425\) 30.6162 + 5.90079i 1.48511 + 0.286231i
\(426\) −14.3710 12.4525i −0.696275 0.603326i
\(427\) 33.2040 + 19.2750i 1.60686 + 0.932785i
\(428\) −27.1474 + 12.3978i −1.31222 + 0.599270i
\(429\) −1.68204 + 3.26269i −0.0812094 + 0.157524i
\(430\) 4.24354 + 4.45050i 0.204642 + 0.214622i
\(431\) −2.18578 + 5.45981i −0.105285 + 0.262990i −0.971651 0.236421i \(-0.924026\pi\)
0.866366 + 0.499410i \(0.166450\pi\)
\(432\) −0.0844987 0.884911i −0.00406545 0.0425753i
\(433\) 2.55931 17.8004i 0.122993 0.855432i −0.831143 0.556058i \(-0.812313\pi\)
0.954136 0.299374i \(-0.0967777\pi\)
\(434\) 15.8514 45.4522i 0.760893 2.18177i
\(435\) −1.26103 + 1.09269i −0.0604617 + 0.0523904i
\(436\) −31.5485 + 18.2145i −1.51090 + 0.872318i
\(437\) −28.8118 + 20.7673i −1.37825 + 0.993437i
\(438\) −9.77177 + 16.9252i −0.466913 + 0.808717i
\(439\) −13.1082 4.53680i −0.625622 0.216530i −0.00418150 0.999991i \(-0.501331\pi\)
−0.621440 + 0.783461i \(0.713452\pi\)
\(440\) −2.02864 + 3.15662i −0.0967114 + 0.150486i
\(441\) −4.60896 + 5.26854i −0.219474 + 0.250883i
\(442\) −12.8753 5.87993i −0.612413 0.279680i
\(443\) −4.46416 + 3.51066i −0.212099 + 0.166796i −0.718557 0.695468i \(-0.755197\pi\)
0.506458 + 0.862265i \(0.330955\pi\)
\(444\) −18.0298 + 17.1913i −0.855655 + 0.815865i
\(445\) 0.0100818 + 0.211643i 0.000477923 + 0.0100328i
\(446\) 0.640648 + 0.456203i 0.0303356 + 0.0216019i
\(447\) −8.38957 + 2.46340i −0.396813 + 0.116515i
\(448\) −15.1490 + 29.2154i −0.715723 + 1.38030i
\(449\) 13.2552 15.2973i 0.625550 0.721923i −0.351201 0.936300i \(-0.614227\pi\)
0.976751 + 0.214377i \(0.0687722\pi\)
\(450\) −8.28360 7.89840i −0.390493 0.372334i
\(451\) 4.20560 + 0.401586i 0.198034 + 0.0189099i
\(452\) −9.38996 + 0.447299i −0.441666 + 0.0210392i
\(453\) −13.4451 + 3.26174i −0.631704 + 0.153250i
\(454\) −7.35610 51.1628i −0.345239 2.40119i
\(455\) 0.242321 + 0.705526i 0.0113602 + 0.0330756i
\(456\) −24.3627 3.50282i −1.14089 0.164035i
\(457\) 12.2911 + 0.585496i 0.574952 + 0.0273884i 0.333045 0.942911i \(-0.391924\pi\)
0.241907 + 0.970299i \(0.422227\pi\)
\(458\) −15.5614 + 2.99921i −0.727135 + 0.140144i
\(459\) 5.49580 + 3.17300i 0.256522 + 0.148103i
\(460\) 4.58233 + 1.55653i 0.213652 + 0.0725736i
\(461\) 27.3884i 1.27561i −0.770200 0.637803i \(-0.779844\pi\)
0.770200 0.637803i \(-0.220156\pi\)
\(462\) 21.5171 9.76518i 1.00107 0.454317i
\(463\) 25.0119 + 16.0742i 1.16240 + 0.747031i 0.972070 0.234689i \(-0.0754073\pi\)
0.190332 + 0.981720i \(0.439044\pi\)
\(464\) −4.67607 + 1.87202i −0.217081 + 0.0869062i
\(465\) 1.33410 + 1.87348i 0.0618674 + 0.0868807i
\(466\) −46.0779 18.4468i −2.13452 0.854532i
\(467\) −4.38764 18.0861i −0.203036 0.836925i −0.978619 0.205680i \(-0.934059\pi\)
0.775584 0.631245i \(-0.217456\pi\)
\(468\) 1.77381 + 2.76011i 0.0819946 + 0.127586i
\(469\) 4.52919 + 32.0380i 0.209138 + 1.47938i
\(470\) −1.07708 3.66820i −0.0496820 0.169201i
\(471\) −0.699301 + 3.62832i −0.0322221 + 0.167184i
\(472\) 19.5215 6.75644i 0.898548 0.310990i
\(473\) −8.10225 + 33.3979i −0.372542 + 1.53564i
\(474\) −12.6684 + 17.7903i −0.581880 + 0.817137i
\(475\) −30.6099 + 19.6718i −1.40448 + 0.902602i
\(476\) 26.2429 + 51.2006i 1.20284 + 2.34678i
\(477\) 4.81229 0.691903i 0.220340 0.0316801i
\(478\) −15.1284 + 1.44459i −0.691957 + 0.0660739i
\(479\) −13.1059 10.3066i −0.598824 0.470920i 0.272147 0.962256i \(-0.412266\pi\)
−0.870970 + 0.491336i \(0.836509\pi\)
\(480\) −0.617526 1.19783i −0.0281861 0.0546734i
\(481\) 2.27663 6.57790i 0.103805 0.299926i
\(482\) 67.5682 3.07765
\(483\) −7.87728 9.94729i −0.358429 0.452617i
\(484\) −12.6729 −0.576043
\(485\) −0.900905 + 2.60299i −0.0409080 + 0.118196i
\(486\) −1.06745 2.07057i −0.0484206 0.0939229i
\(487\) 13.6090 + 10.7022i 0.616681 + 0.484963i 0.876956 0.480571i \(-0.159571\pi\)
−0.260275 + 0.965535i \(0.583813\pi\)
\(488\) −48.0108 + 4.58448i −2.17335 + 0.207530i
\(489\) 10.9301 1.57150i 0.494274 0.0710659i
\(490\) 1.59200 4.53044i 0.0719191 0.204664i
\(491\) −4.38910 + 2.82070i −0.198077 + 0.127296i −0.635920 0.771755i \(-0.719379\pi\)
0.437843 + 0.899052i \(0.355743\pi\)
\(492\) 2.19035 3.07592i 0.0987487 0.138673i
\(493\) 8.47732 34.9440i 0.381799 1.57380i
\(494\) 15.6094 5.40245i 0.702298 0.243068i
\(495\) −0.213663 + 1.10859i −0.00960343 + 0.0498273i
\(496\) 1.95600 + 6.66152i 0.0878270 + 0.299111i
\(497\) −13.3101 17.0077i −0.597040 0.762899i
\(498\) 17.2310 + 26.8119i 0.772139 + 1.20147i
\(499\) −8.72033 35.9457i −0.390375 1.60915i −0.740236 0.672348i \(-0.765286\pi\)
0.349860 0.936802i \(-0.386229\pi\)
\(500\) 9.28693 + 3.71793i 0.415324 + 0.166271i
\(501\) −5.87199 8.24605i −0.262341 0.368406i
\(502\) −34.1493 + 13.6713i −1.52416 + 0.610181i
\(503\) 1.37457 + 0.883382i 0.0612890 + 0.0393881i 0.570927 0.821001i \(-0.306584\pi\)
−0.509637 + 0.860389i \(0.670220\pi\)
\(504\) 0.856528 8.75153i 0.0381528 0.389824i
\(505\) 1.30643i 0.0581353i
\(506\) 10.3370 + 41.5657i 0.459535 + 1.84782i
\(507\) 10.4644 + 6.04163i 0.464741 + 0.268318i
\(508\) −20.1613 + 3.88578i −0.894514 + 0.172403i
\(509\) 15.8021 + 0.752745i 0.700414 + 0.0333648i 0.394769 0.918781i \(-0.370825\pi\)
0.305646 + 0.952145i \(0.401128\pi\)
\(510\) −4.30906 0.619549i −0.190808 0.0274341i
\(511\) −14.5752 + 16.7406i −0.644767 + 0.740560i
\(512\) −1.41987 9.87541i −0.0627499 0.436435i
\(513\) −7.19689 + 1.74595i −0.317750 + 0.0770854i
\(514\) −24.2761 + 1.15641i −1.07077 + 0.0510072i
\(515\) −3.27303 0.312537i −0.144227 0.0137720i
\(516\) 22.2311 + 21.1973i 0.978670 + 0.933160i
\(517\) 13.9916 16.1472i 0.615351 0.710152i
\(518\) −37.7516 + 24.1357i −1.65871 + 1.06046i
\(519\) −1.51737 + 0.445541i −0.0666053 + 0.0195571i
\(520\) −0.763335 0.543568i −0.0334745 0.0238370i
\(521\) 1.56079 + 32.7650i 0.0683794 + 1.43546i 0.728883 + 0.684638i \(0.240040\pi\)
−0.660504 + 0.750822i \(0.729657\pi\)
\(522\) −9.55296 + 9.10873i −0.418122 + 0.398678i
\(523\) 10.2761 8.08124i 0.449344 0.353368i −0.367699 0.929945i \(-0.619854\pi\)
0.817043 + 0.576577i \(0.195612\pi\)
\(524\) 25.6932 + 11.7337i 1.12241 + 0.512588i
\(525\) −7.51532 10.6067i −0.327995 0.462915i
\(526\) −3.01409 + 4.69001i −0.131420 + 0.204494i
\(527\) −46.8375 16.2106i −2.04027 0.706145i
\(528\) −1.70402 + 2.95144i −0.0741578 + 0.128445i
\(529\) 20.3207 10.7735i 0.883510 0.468412i
\(530\) −2.88836 + 1.66759i −0.125462 + 0.0724357i
\(531\) 4.69735 4.07028i 0.203848 0.176635i
\(532\) −63.3965 22.1095i −2.74859 0.958569i
\(533\) −0.150154 + 1.04434i −0.00650390 + 0.0452356i
\(534\) 0.159326 + 1.66854i 0.00689472 + 0.0722048i
\(535\) 0.953213 2.38101i 0.0412110 0.102940i
\(536\) −28.0490 29.4170i −1.21153 1.27062i
\(537\) −4.50300 + 8.73461i −0.194319 + 0.376926i
\(538\) 15.1571 6.92200i 0.653468 0.298429i
\(539\) 26.1099 6.20379i 1.12463 0.267216i
\(540\) 0.762628 + 0.660821i 0.0328183 + 0.0284372i
\(541\) −34.8569 6.71811i −1.49861 0.288834i −0.626997 0.779022i \(-0.715716\pi\)
−0.871617 + 0.490188i \(0.836928\pi\)
\(542\) −28.3829 6.88562i −1.21915 0.295763i
\(543\) −0.206570 + 2.16330i −0.00886478 + 0.0928362i
\(544\) 25.8131 + 13.3076i 1.10673 + 0.570557i
\(545\) 0.881992 3.00379i 0.0377804 0.128668i
\(546\) 2.18031 + 5.48363i 0.0933085 + 0.234678i
\(547\) 12.2016 26.7177i 0.521701 1.14237i −0.447091 0.894489i \(-0.647540\pi\)
0.968792 0.247877i \(-0.0797329\pi\)
\(548\) 8.53942 + 21.3304i 0.364786 + 0.911192i
\(549\) −12.8981 + 6.64944i −0.550478 + 0.283791i
\(550\) 8.30447 + 43.0877i 0.354104 + 1.83727i
\(551\) 20.9809 + 36.3399i 0.893815 + 1.54813i
\(552\) 15.3192 + 4.40266i 0.652028 + 0.187390i
\(553\) −17.9923 + 17.0747i −0.765112 + 0.726091i
\(554\) −5.91479 6.82603i −0.251295 0.290010i
\(555\) 0.101867 2.13844i 0.00432400 0.0907719i
\(556\) −20.2131 + 25.7031i −0.857228 + 1.09005i
\(557\) 8.47147 6.03251i 0.358948 0.255606i −0.386329 0.922361i \(-0.626257\pi\)
0.745276 + 0.666756i \(0.232318\pi\)
\(558\) 11.2468 + 14.3015i 0.476116 + 0.605431i
\(559\) −8.23508 2.41804i −0.348307 0.102272i
\(560\) 0.193556 + 0.664994i 0.00817921 + 0.0281011i
\(561\) −10.1068 22.1309i −0.426711 0.934367i
\(562\) −14.5445 + 15.2538i −0.613522 + 0.643443i
\(563\) 0.172055 + 0.497121i 0.00725126 + 0.0209511i 0.948568 0.316572i \(-0.102532\pi\)
−0.941317 + 0.337523i \(0.890411\pi\)
\(564\) −6.24599 18.0466i −0.263004 0.759899i
\(565\) 0.557486 0.584674i 0.0234536 0.0245974i
\(566\) 18.3290 + 40.1350i 0.770427 + 1.68700i
\(567\) −0.739398 2.54033i −0.0310518 0.106684i
\(568\) 26.0307 + 7.64331i 1.09223 + 0.320706i
\(569\) 4.19636 + 5.33610i 0.175920 + 0.223701i 0.866015 0.500018i \(-0.166673\pi\)
−0.690094 + 0.723719i \(0.742431\pi\)
\(570\) 4.13828 2.94685i 0.173333 0.123430i
\(571\) −14.9440 + 19.0029i −0.625388 + 0.795246i −0.990762 0.135615i \(-0.956699\pi\)
0.365373 + 0.930861i \(0.380941\pi\)
\(572\) 0.598514 12.5644i 0.0250251 0.525342i
\(573\) −13.5650 15.6548i −0.566686 0.653990i
\(574\) 4.92649 4.67524i 0.205628 0.195141i
\(575\) 21.3773 9.91155i 0.891495 0.413340i
\(576\) −6.21930 10.7721i −0.259137 0.448839i
\(577\) 4.61558 + 23.9479i 0.192149 + 0.996964i 0.942065 + 0.335431i \(0.108882\pi\)
−0.749916 + 0.661533i \(0.769906\pi\)
\(578\) 48.1857 24.8415i 2.00426 1.03327i
\(579\) −1.91578 4.78540i −0.0796173 0.198874i
\(580\) 2.37524 5.20105i 0.0986264 0.215962i
\(581\) 13.3740 + 33.6365i 0.554846 + 1.39548i
\(582\) −6.13888 + 20.9071i −0.254465 + 0.866628i
\(583\) −16.5672 8.54100i −0.686144 0.353732i
\(584\) 2.65045 27.7568i 0.109676 1.14858i
\(585\) −0.274006 0.0664732i −0.0113288 0.00274833i
\(586\) 33.8363 + 6.52142i 1.39777 + 0.269397i
\(587\) 9.92414 + 8.59931i 0.409613 + 0.354932i 0.835162 0.550004i \(-0.185374\pi\)
−0.425549 + 0.904935i \(0.639919\pi\)
\(588\) 6.86653 22.9832i 0.283171 0.947810i
\(589\) 52.6126 24.0274i 2.16786 0.990030i
\(590\) −1.95380 + 3.78985i −0.0804367 + 0.156026i
\(591\) −7.81359 8.19466i −0.321408 0.337083i
\(592\) 2.40189 5.99962i 0.0987169 0.246583i
\(593\) −2.20076 23.0474i −0.0903742 0.946442i −0.920988 0.389592i \(-0.872616\pi\)
0.830613 0.556850i \(-0.187990\pi\)
\(594\) −1.27102 + 8.84013i −0.0521505 + 0.362715i
\(595\) −4.66855 1.62815i −0.191392 0.0667478i
\(596\) 22.6440 19.6212i 0.927535 0.803714i
\(597\) 4.19305 2.42086i 0.171610 0.0990791i
\(598\) −10.4917 + 2.08471i −0.429037 + 0.0852501i
\(599\) 19.0289 32.9590i 0.777499 1.34667i −0.155879 0.987776i \(-0.549821\pi\)
0.933379 0.358892i \(-0.116846\pi\)
\(600\) 15.4315 + 5.34090i 0.629989 + 0.218041i
\(601\) 6.68114 10.3961i 0.272529 0.424064i −0.677830 0.735219i \(-0.737079\pi\)
0.950359 + 0.311155i \(0.100716\pi\)
\(602\) 31.9410 + 45.0798i 1.30182 + 1.83732i
\(603\) −11.1245 5.08038i −0.453024 0.206889i
\(604\) 37.2658 29.3061i 1.51632 1.19245i
\(605\) 0.788199 0.751546i 0.0320448 0.0305547i
\(606\) −0.491744 10.3230i −0.0199757 0.419342i
\(607\) −31.2857 22.2784i −1.26985 0.904253i −0.271539 0.962427i \(-0.587533\pi\)
−0.998306 + 0.0581744i \(0.981472\pi\)
\(608\) −32.5179 + 9.54813i −1.31878 + 0.387228i
\(609\) −12.6306 + 8.07511i −0.511817 + 0.327220i
\(610\) 6.51898 7.52330i 0.263946 0.304609i
\(611\) 3.86177 + 3.68219i 0.156230 + 0.148965i
\(612\) −21.6475 2.06708i −0.875046 0.0835568i
\(613\) −11.6782 + 0.556302i −0.471679 + 0.0224688i −0.282076 0.959392i \(-0.591023\pi\)
−0.189603 + 0.981861i \(0.560720\pi\)
\(614\) 2.18620 0.530367i 0.0882280 0.0214039i
\(615\) 0.0461820 + 0.321203i 0.00186224 + 0.0129521i
\(616\) −22.1369 + 25.4258i −0.891921 + 1.02443i
\(617\) −20.0549 2.88346i −0.807380 0.116084i −0.273749 0.961801i \(-0.588264\pi\)
−0.533631 + 0.845717i \(0.679173\pi\)
\(618\) −25.9801 1.23758i −1.04507 0.0497830i
\(619\) 3.49348 0.673313i 0.140415 0.0270627i −0.118560 0.992947i \(-0.537828\pi\)
0.258974 + 0.965884i \(0.416616\pi\)
\(620\) −6.82537 3.94063i −0.274114 0.158260i
\(621\) 4.77142 0.483300i 0.191470 0.0193942i
\(622\) 7.77170i 0.311617i
\(623\) −0.185428 + 1.89460i −0.00742903 + 0.0759057i
\(624\) −0.716010 0.460152i −0.0286633 0.0184208i
\(625\) 22.0086 8.81090i 0.880343 0.352436i
\(626\) −24.6256 34.5818i −0.984237 1.38217i
\(627\) 26.3582 + 10.5522i 1.05265 + 0.421416i
\(628\) −2.98518 12.3051i −0.119122 0.491027i
\(629\) 24.9426 + 38.8115i 0.994528 + 1.54752i
\(630\) 1.11858 + 1.42932i 0.0445653 + 0.0569456i
\(631\) −5.71773 19.4728i −0.227619 0.775200i −0.991530 0.129878i \(-0.958541\pi\)
0.763911 0.645322i \(-0.223277\pi\)
\(632\) 5.89695 30.5963i 0.234568 1.21706i
\(633\) 10.2683 3.55388i 0.408127 0.141254i
\(634\) −15.9718 + 65.8367i −0.634322 + 2.61471i
\(635\) 1.02350 1.43731i 0.0406164 0.0570378i
\(636\) −14.0152 + 9.00703i −0.555739 + 0.357152i
\(637\) 1.23731 + 6.58703i 0.0490241 + 0.260988i
\(638\) 50.0898 7.20182i 1.98307 0.285123i
\(639\) 8.12585 0.775924i 0.321453 0.0306951i
\(640\) 4.58867 + 3.60857i 0.181383 + 0.142641i
\(641\) 0.216108 + 0.419192i 0.00853576 + 0.0165571i 0.893065 0.449928i \(-0.148550\pi\)
−0.884529 + 0.466485i \(0.845520\pi\)
\(642\) 6.63576 19.1728i 0.261893 0.756689i
\(643\) 1.55390 0.0612797 0.0306398 0.999530i \(-0.490246\pi\)
0.0306398 + 0.999530i \(0.490246\pi\)
\(644\) 38.7139 + 19.7928i 1.52554 + 0.779945i
\(645\) −2.63974 −0.103940
\(646\) −35.8071 + 103.458i −1.40881 + 4.07050i
\(647\) 13.3382 + 25.8724i 0.524377 + 1.01715i 0.991147 + 0.132770i \(0.0423873\pi\)
−0.466770 + 0.884379i \(0.654582\pi\)
\(648\) 2.61250 + 2.05450i 0.102629 + 0.0807082i
\(649\) −23.7212 + 2.26510i −0.931140 + 0.0889131i
\(650\) −10.8472 + 1.55960i −0.425463 + 0.0611724i
\(651\) 9.42530 + 18.3890i 0.369407 + 0.720723i
\(652\) −31.8325 + 20.4575i −1.24665 + 0.801177i
\(653\) 6.84448 9.61173i 0.267845 0.376136i −0.658646 0.752453i \(-0.728870\pi\)
0.926491 + 0.376317i \(0.122810\pi\)
\(654\) 5.83858 24.0669i 0.228306 0.941092i
\(655\) −2.29384 + 0.793906i −0.0896278 + 0.0310205i
\(656\) −0.185385 + 0.961869i −0.00723807 + 0.0375547i
\(657\) −2.36359 8.04964i −0.0922123 0.314046i
\(658\) −4.80795 34.0100i −0.187434 1.32585i
\(659\) 24.3996 + 37.9666i 0.950475 + 1.47897i 0.876325 + 0.481721i \(0.159988\pi\)
0.0741505 + 0.997247i \(0.476375\pi\)
\(660\) −0.912087 3.75967i −0.0355029 0.146345i
\(661\) 42.8936 + 17.1720i 1.66837 + 0.667914i 0.997297 0.0734791i \(-0.0234102\pi\)
0.671071 + 0.741393i \(0.265834\pi\)
\(662\) −41.6448 58.4819i −1.61857 2.27296i
\(663\) 5.64081 2.25824i 0.219071 0.0877028i
\(664\) −38.2530 24.5837i −1.48450 0.954032i
\(665\) 5.25414 2.38451i 0.203747 0.0924672i
\(666\) 16.9356i 0.656243i
\(667\) −10.2444 25.1691i −0.396664 0.974550i
\(668\) 30.0416 + 17.3445i 1.16234 + 0.671080i
\(669\) −0.331512 + 0.0638937i −0.0128170 + 0.00247027i
\(670\) 8.38006 + 0.399191i 0.323750 + 0.0154221i
\(671\) 55.0675 + 7.91751i 2.12586 + 0.305652i
\(672\) −3.93306 11.4513i −0.151721 0.441742i
\(673\) 5.29756 + 36.8454i 0.204206 + 1.42028i 0.791628 + 0.611003i \(0.209234\pi\)
−0.587422 + 0.809281i \(0.699857\pi\)
\(674\) 15.0710 3.65619i 0.580514 0.140831i
\(675\) 4.90772 0.233783i 0.188898 0.00899832i
\(676\) −41.2184 3.93588i −1.58532 0.151380i
\(677\) −19.0098 18.1258i −0.730605 0.696630i 0.230420 0.973091i \(-0.425990\pi\)
−0.961025 + 0.276461i \(0.910838\pi\)
\(678\) 4.18500 4.82975i 0.160724 0.185485i
\(679\) −11.3919 + 21.9697i −0.437182 + 0.843120i
\(680\) 5.95942 1.74984i 0.228533 0.0671034i
\(681\) 18.0743 + 12.8706i 0.692607 + 0.493203i
\(682\) −3.31898 69.6740i −0.127090 2.66795i
\(683\) −4.75487 + 4.53376i −0.181940 + 0.173480i −0.775576 0.631254i \(-0.782540\pi\)
0.593636 + 0.804734i \(0.297692\pi\)
\(684\) 19.9477 15.6870i 0.762719 0.599809i
\(685\) −1.79608 0.820241i −0.0686245 0.0313398i
\(686\) 20.0407 38.2065i 0.765156 1.45873i
\(687\) 3.67797 5.72303i 0.140323 0.218347i
\(688\) −7.53021 2.60623i −0.287087 0.0993616i
\(689\) 2.32748 4.03132i 0.0886701 0.153581i
\(690\) −2.91551 + 1.52432i −0.110992 + 0.0580299i
\(691\) −1.49851 + 0.865167i −0.0570061 + 0.0329125i −0.528232 0.849100i \(-0.677145\pi\)
0.471226 + 0.882012i \(0.343812\pi\)
\(692\) 4.09549 3.54877i 0.155687 0.134904i
\(693\) −3.34020 + 9.57763i −0.126884 + 0.363824i
\(694\) 10.4989 73.0216i 0.398533 2.77186i
\(695\) −0.267111 2.79732i −0.0101321 0.106108i
\(696\) 6.99913 17.4830i 0.265301 0.662691i
\(697\) −4.82574 5.06110i −0.182788 0.191703i
\(698\) −9.61725 + 18.6549i −0.364018 + 0.706097i
\(699\) 19.3807 8.85088i 0.733047 0.334771i
\(700\) 38.5243 + 22.3635i 1.45608 + 0.845261i
\(701\) −27.2884 23.6455i −1.03067 0.893080i −0.0363309 0.999340i \(-0.511567\pi\)
−0.994338 + 0.106260i \(0.966112\pi\)
\(702\) −2.19013 0.422113i −0.0826612 0.0159316i
\(703\) −52.3212 12.6930i −1.97333 0.478725i
\(704\) −4.53299 + 47.4716i −0.170843 + 1.78915i
\(705\) 1.45869 + 0.752009i 0.0549376 + 0.0283223i
\(706\) 19.8852 67.7227i 0.748389 2.54878i
\(707\) 1.69786 11.6141i 0.0638545 0.436794i
\(708\) −8.84779 + 19.3740i −0.332520 + 0.728118i
\(709\) −3.91840 9.78768i −0.147158 0.367584i 0.836414 0.548098i \(-0.184648\pi\)
−0.983572 + 0.180514i \(0.942224\pi\)
\(710\) −4.97721 + 2.56593i −0.186791 + 0.0962977i
\(711\) −1.77428 9.20585i −0.0665408 0.345246i
\(712\) −1.19568 2.07098i −0.0448099 0.0776131i
\(713\) −35.8778 + 10.7590i −1.34364 + 0.402928i
\(714\) −37.5022 11.1079i −1.40349 0.415703i
\(715\) 0.707882 + 0.816939i 0.0264733 + 0.0305518i
\(716\) 1.60229 33.6362i 0.0598805 1.25705i
\(717\) 4.03270 5.12800i 0.150604 0.191508i
\(718\) 58.3421 41.5452i 2.17731 1.55045i
\(719\) 6.82624 + 8.68028i 0.254576 + 0.323720i 0.896496 0.443052i \(-0.146104\pi\)
−0.641920 + 0.766772i \(0.721862\pi\)
\(720\) −0.251171 0.0737504i −0.00936058 0.00274852i
\(721\) −28.6910 7.03214i −1.06851 0.261891i
\(722\) −34.6866 75.9531i −1.29090 2.82668i
\(723\) −20.0158 + 20.9919i −0.744395 + 0.780699i
\(724\) −2.43559 7.03717i −0.0905179 0.261534i
\(725\) −9.10542 26.3084i −0.338167 0.977069i
\(726\) 5.94521 6.23516i 0.220647 0.231408i
\(727\) −5.34940 11.7136i −0.198398 0.434432i 0.784117 0.620613i \(-0.213116\pi\)
−0.982515 + 0.186181i \(0.940389\pi\)
\(728\) −6.07959 5.82435i −0.225325 0.215865i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) 3.55762 + 4.52389i 0.131674 + 0.167437i
\(731\) 46.3379 32.9970i 1.71387 1.22044i
\(732\) 30.7385 39.0872i 1.13613 1.44470i
\(733\) 0.0918167 1.92747i 0.00339133 0.0711927i −0.996537 0.0831481i \(-0.973503\pi\)
0.999929 + 0.0119553i \(0.00380559\pi\)
\(734\) 1.23514 + 1.42542i 0.0455897 + 0.0526133i
\(735\) 0.935909 + 1.83665i 0.0345215 + 0.0677460i
\(736\) 21.7057 3.24822i 0.800081 0.119731i
\(737\) 23.4432 + 40.6048i 0.863542 + 1.49570i
\(738\) 0.485817 + 2.52066i 0.0178832 + 0.0927867i
\(739\) −17.3286 + 8.93354i −0.637444 + 0.328625i −0.746475 0.665413i \(-0.768255\pi\)
0.109031 + 0.994038i \(0.465225\pi\)
\(740\) 2.72657 + 6.81064i 0.100231 + 0.250364i
\(741\) −2.94555 + 6.44986i −0.108208 + 0.236941i
\(742\) −27.8447 + 11.0711i −1.02221 + 0.406433i
\(743\) −2.81903 + 9.60073i −0.103420 + 0.352217i −0.994903 0.100838i \(-0.967848\pi\)
0.891483 + 0.453055i \(0.149666\pi\)
\(744\) −23.0721 11.8945i −0.845865 0.436074i
\(745\) −0.244757 + 2.56321i −0.00896719 + 0.0939087i
\(746\) −80.4107 19.5074i −2.94405 0.714218i
\(747\) −13.4342 2.58924i −0.491533 0.0947352i
\(748\) 63.0070 + 54.5959i 2.30377 + 1.99622i
\(749\) 11.5684 19.9283i 0.422701 0.728164i
\(750\) −6.18598 + 2.82504i −0.225880 + 0.103156i
\(751\) −13.4258 + 26.0424i −0.489913 + 0.950300i 0.506216 + 0.862406i \(0.331044\pi\)
−0.996130 + 0.0878931i \(0.971987\pi\)
\(752\) 3.41865 + 3.58538i 0.124665 + 0.130745i
\(753\) 5.86871 14.6593i 0.213868 0.534215i
\(754\) 1.20132 + 12.5808i 0.0437496 + 0.458167i
\(755\) −0.579813 + 4.03269i −0.0211015 + 0.146764i
\(756\) 5.92092 + 6.86580i 0.215342 + 0.249707i
\(757\) −21.7878 + 18.8792i −0.791890 + 0.686176i −0.953738 0.300639i \(-0.902800\pi\)
0.161848 + 0.986816i \(0.448254\pi\)
\(758\) −40.2538 + 23.2406i −1.46208 + 0.844135i
\(759\) −15.9757 9.10156i −0.579880 0.330366i
\(760\) −3.62405 + 6.27705i −0.131458 + 0.227692i
\(761\) −26.6316 9.21729i −0.965395 0.334126i −0.201515 0.979485i \(-0.564587\pi\)
−0.763879 + 0.645359i \(0.776708\pi\)
\(762\) 7.54638 11.7424i 0.273376 0.425382i
\(763\) 11.7447 25.5573i 0.425185 0.925238i
\(764\) 64.5675 + 29.4870i 2.33597 + 1.06680i
\(765\) 1.46896 1.15520i 0.0531102 0.0417663i
\(766\) 31.1840 29.7338i 1.12672 1.07433i
\(767\) −0.283164 5.94435i −0.0102245 0.214638i
\(768\) 17.3521 + 12.3564i 0.626141 + 0.445873i
\(769\) 38.6797 11.3574i 1.39483 0.409558i 0.503922 0.863749i \(-0.331890\pi\)
0.890904 + 0.454191i \(0.150072\pi\)
\(770\) −0.314679 6.95125i −0.0113403 0.250506i
\(771\) 6.83206 7.88462i 0.246051 0.283958i