Properties

Label 552.2.bb.a.85.5
Level $552$
Weight $2$
Character 552.85
Analytic conductor $4.408$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.bb (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(48\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 85.5
Character \(\chi\) \(=\) 552.85
Dual form 552.2.bb.a.13.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.36486 - 0.370358i) q^{2} +(0.540641 + 0.841254i) q^{3} +(1.72567 + 1.01097i) q^{4} +(0.808939 - 0.369430i) q^{5} +(-0.426333 - 1.34842i) q^{6} +(0.759802 - 0.223098i) q^{7} +(-1.98087 - 2.01895i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})\) \(q+(-1.36486 - 0.370358i) q^{2} +(0.540641 + 0.841254i) q^{3} +(1.72567 + 1.01097i) q^{4} +(0.808939 - 0.369430i) q^{5} +(-0.426333 - 1.34842i) q^{6} +(0.759802 - 0.223098i) q^{7} +(-1.98087 - 2.01895i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(-1.24091 + 0.204623i) q^{10} +(0.857262 - 0.742822i) q^{11} +(0.0824854 + 1.99830i) q^{12} +(1.80954 - 6.16272i) q^{13} +(-1.11965 + 0.0230985i) q^{14} +(0.748130 + 0.480794i) q^{15} +(1.95588 + 3.48920i) q^{16} +(0.262648 - 1.82676i) q^{17} +(0.903871 - 1.08767i) q^{18} +(6.71287 - 0.965165i) q^{19} +(1.76944 + 0.180299i) q^{20} +(0.598462 + 0.518570i) q^{21} +(-1.44515 + 0.696352i) q^{22} +(-4.76142 - 0.573480i) q^{23} +(0.627504 - 2.75794i) q^{24} +(-2.75640 + 3.18106i) q^{25} +(-4.75217 + 7.74106i) q^{26} +(-0.989821 + 0.142315i) q^{27} +(1.53671 + 0.383144i) q^{28} +(-0.980596 - 0.140988i) q^{29} +(-0.843025 - 0.933290i) q^{30} +(3.39749 + 2.18343i) q^{31} +(-1.37724 - 5.48664i) q^{32} +(1.08837 + 0.319575i) q^{33} +(-1.03503 + 2.39599i) q^{34} +(0.532214 - 0.461166i) q^{35} +(-1.63648 + 1.14975i) q^{36} +(6.20415 + 2.83334i) q^{37} +(-9.51957 - 1.16885i) q^{38} +(6.16272 - 1.80954i) q^{39} +(-2.34826 - 0.901410i) q^{40} +(0.147591 + 0.323180i) q^{41} +(-0.624759 - 0.929419i) q^{42} +(2.14419 + 3.33643i) q^{43} +(2.23032 - 0.415199i) q^{44} +0.889303i q^{45} +(6.28627 + 2.54615i) q^{46} +12.7492 q^{47} +(-1.87788 + 3.53179i) q^{48} +(-5.36125 + 3.44547i) q^{49} +(4.94022 - 3.32083i) q^{50} +(1.67876 - 0.766665i) q^{51} +(9.35299 - 8.80544i) q^{52} +(-2.70529 - 9.21338i) q^{53} +(1.40367 + 0.172348i) q^{54} +(0.419052 - 0.917596i) q^{55} +(-1.95549 - 1.09207i) q^{56} +(4.44120 + 5.12542i) q^{57} +(1.28616 + 0.555600i) q^{58} +(-2.36063 + 8.03958i) q^{59} +(0.804957 + 1.58603i) q^{60} +(4.32658 - 6.73229i) q^{61} +(-3.82843 - 4.23836i) q^{62} +(-0.112696 + 0.783819i) q^{63} +(-0.152282 + 7.99855i) q^{64} +(-0.812888 - 5.65376i) q^{65} +(-1.36712 - 0.839261i) q^{66} +(-9.22604 - 7.99441i) q^{67} +(2.30004 - 2.88685i) q^{68} +(-2.09178 - 4.31561i) q^{69} +(-0.897193 + 0.432317i) q^{70} +(1.86726 - 2.15493i) q^{71} +(2.65938 - 0.963165i) q^{72} +(0.472028 + 3.28303i) q^{73} +(-7.41843 - 6.16486i) q^{74} +(-4.16630 - 0.599023i) q^{75} +(12.5600 + 5.12096i) q^{76} +(0.485627 - 0.755651i) q^{77} +(-9.08141 + 0.187351i) q^{78} +(6.92887 + 2.03450i) q^{79} +(2.87120 + 2.09999i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-0.0817489 - 0.495756i) q^{82} +(11.7293 + 5.35658i) q^{83} +(0.508489 + 1.49991i) q^{84} +(-0.462392 - 1.57476i) q^{85} +(-1.69085 - 5.34787i) q^{86} +(-0.411543 - 0.901154i) q^{87} +(-3.19784 - 0.259330i) q^{88} +(1.13081 - 0.726727i) q^{89} +(0.329360 - 1.21377i) q^{90} -5.08615i q^{91} +(-7.63687 - 5.80329i) q^{92} +4.03860i q^{93} +(-17.4008 - 4.72176i) q^{94} +(5.07374 - 3.26070i) q^{95} +(3.87106 - 4.12491i) q^{96} +(-3.20667 - 7.02163i) q^{97} +(8.59339 - 2.71699i) q^{98} +(0.319575 + 1.08837i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} + O(q^{10}) \) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} - 4q^{10} - 4q^{14} - 8q^{15} - 8q^{16} - 4q^{18} + 20q^{20} + 20q^{22} - 8q^{23} - 4q^{24} + 48q^{25} + 16q^{30} + 16q^{31} + 4q^{32} + 6q^{34} - 22q^{36} + 90q^{38} - 74q^{40} + 90q^{42} - 130q^{44} + 96q^{46} - 88q^{48} - 48q^{49} + 142q^{50} - 142q^{52} + 18q^{54} - 82q^{56} + 22q^{58} + 2q^{60} - 40q^{62} - 8q^{63} + 16q^{66} - 44q^{68} + 16q^{71} - 4q^{72} + 10q^{74} - 138q^{76} - 40q^{79} - 170q^{80} - 48q^{81} - 124q^{82} - 8q^{84} - 216q^{86} - 108q^{88} + 4q^{90} - 198q^{92} - 238q^{94} + 80q^{95} + 4q^{96} - 132q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{4}{11}\right)\) \(1\) \(-1\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.36486 0.370358i −0.965100 0.261882i
\(3\) 0.540641 + 0.841254i 0.312139 + 0.485698i
\(4\) 1.72567 + 1.01097i 0.862835 + 0.505485i
\(5\) 0.808939 0.369430i 0.361768 0.165214i −0.226235 0.974073i \(-0.572642\pi\)
0.588003 + 0.808859i \(0.299914\pi\)
\(6\) −0.426333 1.34842i −0.174050 0.550491i
\(7\) 0.759802 0.223098i 0.287178 0.0843231i −0.134971 0.990850i \(-0.543094\pi\)
0.422149 + 0.906526i \(0.361276\pi\)
\(8\) −1.98087 2.01895i −0.700344 0.713805i
\(9\) −0.415415 + 0.909632i −0.138472 + 0.303211i
\(10\) −1.24091 + 0.204623i −0.392409 + 0.0647073i
\(11\) 0.857262 0.742822i 0.258474 0.223969i −0.515978 0.856602i \(-0.672571\pi\)
0.774452 + 0.632633i \(0.218026\pi\)
\(12\) 0.0824854 + 1.99830i 0.0238115 + 0.576859i
\(13\) 1.80954 6.16272i 0.501876 1.70923i −0.185249 0.982692i \(-0.559309\pi\)
0.687125 0.726539i \(-0.258873\pi\)
\(14\) −1.11965 + 0.0230985i −0.299238 + 0.00617333i
\(15\) 0.748130 + 0.480794i 0.193166 + 0.124140i
\(16\) 1.95588 + 3.48920i 0.488969 + 0.872301i
\(17\) 0.262648 1.82676i 0.0637014 0.443053i −0.932863 0.360231i \(-0.882698\pi\)
0.996564 0.0828217i \(-0.0263932\pi\)
\(18\) 0.903871 1.08767i 0.213045 0.256365i
\(19\) 6.71287 0.965165i 1.54004 0.221424i 0.680597 0.732658i \(-0.261720\pi\)
0.859442 + 0.511234i \(0.170811\pi\)
\(20\) 1.76944 + 0.180299i 0.395660 + 0.0403161i
\(21\) 0.598462 + 0.518570i 0.130595 + 0.113161i
\(22\) −1.44515 + 0.696352i −0.308107 + 0.148463i
\(23\) −4.76142 0.573480i −0.992825 0.119579i
\(24\) 0.627504 2.75794i 0.128089 0.562962i
\(25\) −2.75640 + 3.18106i −0.551280 + 0.636211i
\(26\) −4.75217 + 7.74106i −0.931977 + 1.51815i
\(27\) −0.989821 + 0.142315i −0.190491 + 0.0273885i
\(28\) 1.53671 + 0.383144i 0.290412 + 0.0724074i
\(29\) −0.980596 0.140988i −0.182092 0.0261809i 0.0506654 0.998716i \(-0.483866\pi\)
−0.232758 + 0.972535i \(0.574775\pi\)
\(30\) −0.843025 0.933290i −0.153915 0.170395i
\(31\) 3.39749 + 2.18343i 0.610207 + 0.392156i 0.808935 0.587899i \(-0.200045\pi\)
−0.198728 + 0.980055i \(0.563681\pi\)
\(32\) −1.37724 5.48664i −0.243464 0.969910i
\(33\) 1.08837 + 0.319575i 0.189461 + 0.0556309i
\(34\) −1.03503 + 2.39599i −0.177506 + 0.410908i
\(35\) 0.532214 0.461166i 0.0899606 0.0779513i
\(36\) −1.63648 + 1.14975i −0.272747 + 0.191625i
\(37\) 6.20415 + 2.83334i 1.01996 + 0.465798i 0.853966 0.520329i \(-0.174191\pi\)
0.165990 + 0.986127i \(0.446918\pi\)
\(38\) −9.51957 1.16885i −1.54428 0.189613i
\(39\) 6.16272 1.80954i 0.986825 0.289758i
\(40\) −2.34826 0.901410i −0.371293 0.142525i
\(41\) 0.147591 + 0.323180i 0.0230499 + 0.0504722i 0.920807 0.390019i \(-0.127532\pi\)
−0.897757 + 0.440491i \(0.854804\pi\)
\(42\) −0.624759 0.929419i −0.0964024 0.143413i
\(43\) 2.14419 + 3.33643i 0.326986 + 0.508801i 0.965359 0.260927i \(-0.0840282\pi\)
−0.638372 + 0.769728i \(0.720392\pi\)
\(44\) 2.23032 0.415199i 0.336234 0.0625936i
\(45\) 0.889303i 0.132570i
\(46\) 6.28627 + 2.54615i 0.926859 + 0.375409i
\(47\) 12.7492 1.85966 0.929829 0.367991i \(-0.119954\pi\)
0.929829 + 0.367991i \(0.119954\pi\)
\(48\) −1.87788 + 3.53179i −0.271048 + 0.509771i
\(49\) −5.36125 + 3.44547i −0.765893 + 0.492209i
\(50\) 4.94022 3.32083i 0.698653 0.469637i
\(51\) 1.67876 0.766665i 0.235074 0.107355i
\(52\) 9.35299 8.80544i 1.29703 1.22109i
\(53\) −2.70529 9.21338i −0.371601 1.26556i −0.907062 0.420996i \(-0.861681\pi\)
0.535462 0.844559i \(-0.320138\pi\)
\(54\) 1.40367 + 0.172348i 0.191016 + 0.0234537i
\(55\) 0.419052 0.917596i 0.0565049 0.123729i
\(56\) −1.95549 1.09207i −0.261314 0.145934i
\(57\) 4.44120 + 5.12542i 0.588252 + 0.678879i
\(58\) 1.28616 + 0.555600i 0.168881 + 0.0729539i
\(59\) −2.36063 + 8.03958i −0.307328 + 1.04666i 0.650544 + 0.759469i \(0.274541\pi\)
−0.957872 + 0.287195i \(0.907277\pi\)
\(60\) 0.804957 + 1.58603i 0.103920 + 0.204755i
\(61\) 4.32658 6.73229i 0.553962 0.861982i −0.445483 0.895290i \(-0.646968\pi\)
0.999445 + 0.0333085i \(0.0106044\pi\)
\(62\) −3.82843 4.23836i −0.486212 0.538272i
\(63\) −0.112696 + 0.783819i −0.0141984 + 0.0987519i
\(64\) −0.152282 + 7.99855i −0.0190353 + 0.999819i
\(65\) −0.812888 5.65376i −0.100826 0.701263i
\(66\) −1.36712 0.839261i −0.168280 0.103306i
\(67\) −9.22604 7.99441i −1.12714 0.976673i −0.127256 0.991870i \(-0.540617\pi\)
−0.999885 + 0.0151969i \(0.995162\pi\)
\(68\) 2.30004 2.88685i 0.278921 0.350082i
\(69\) −2.09178 4.31561i −0.251820 0.519538i
\(70\) −0.897193 + 0.432317i −0.107235 + 0.0516717i
\(71\) 1.86726 2.15493i 0.221603 0.255743i −0.634052 0.773290i \(-0.718609\pi\)
0.855655 + 0.517547i \(0.173155\pi\)
\(72\) 2.65938 0.963165i 0.313411 0.113510i
\(73\) 0.472028 + 3.28303i 0.0552467 + 0.384249i 0.998620 + 0.0525163i \(0.0167241\pi\)
−0.943373 + 0.331733i \(0.892367\pi\)
\(74\) −7.41843 6.16486i −0.862375 0.716650i
\(75\) −4.16630 0.599023i −0.481082 0.0691692i
\(76\) 12.5600 + 5.12096i 1.44073 + 0.587414i
\(77\) 0.485627 0.755651i 0.0553424 0.0861144i
\(78\) −9.08141 + 0.187351i −1.02827 + 0.0212133i
\(79\) 6.92887 + 2.03450i 0.779558 + 0.228899i 0.647218 0.762305i \(-0.275933\pi\)
0.132341 + 0.991204i \(0.457751\pi\)
\(80\) 2.87120 + 2.09999i 0.321010 + 0.234786i
\(81\) −0.654861 0.755750i −0.0727623 0.0839722i
\(82\) −0.0817489 0.495756i −0.00902765 0.0547470i
\(83\) 11.7293 + 5.35658i 1.28745 + 0.587961i 0.937232 0.348706i \(-0.113379\pi\)
0.350223 + 0.936667i \(0.386106\pi\)
\(84\) 0.508489 + 1.49991i 0.0554807 + 0.163653i
\(85\) −0.462392 1.57476i −0.0501535 0.170807i
\(86\) −1.69085 5.34787i −0.182329 0.576676i
\(87\) −0.411543 0.901154i −0.0441221 0.0966139i
\(88\) −3.19784 0.259330i −0.340891 0.0276446i
\(89\) 1.13081 0.726727i 0.119865 0.0770329i −0.479334 0.877632i \(-0.659122\pi\)
0.599200 + 0.800600i \(0.295485\pi\)
\(90\) 0.329360 1.21377i 0.0347176 0.127943i
\(91\) 5.08615i 0.533174i
\(92\) −7.63687 5.80329i −0.796199 0.605035i
\(93\) 4.03860i 0.418783i
\(94\) −17.4008 4.72176i −1.79476 0.487012i
\(95\) 5.07374 3.26070i 0.520555 0.334540i
\(96\) 3.87106 4.12491i 0.395089 0.420997i
\(97\) −3.20667 7.02163i −0.325588 0.712939i 0.674081 0.738657i \(-0.264540\pi\)
−0.999669 + 0.0257186i \(0.991813\pi\)
\(98\) 8.59339 2.71699i 0.868064 0.274457i
\(99\) 0.319575 + 1.08837i 0.0321185 + 0.109386i
\(100\) −7.97259 + 2.70281i −0.797259 + 0.270281i
\(101\) −7.79464 3.55970i −0.775596 0.354203i −0.0120259 0.999928i \(-0.503828\pi\)
−0.763570 + 0.645725i \(0.776555\pi\)
\(102\) −2.57521 + 0.424646i −0.254984 + 0.0420462i
\(103\) 5.36254 + 6.18870i 0.528386 + 0.609790i 0.955711 0.294308i \(-0.0950892\pi\)
−0.427324 + 0.904098i \(0.640544\pi\)
\(104\) −16.0267 + 8.55421i −1.57154 + 0.838809i
\(105\) 0.675695 + 0.198402i 0.0659410 + 0.0193620i
\(106\) 0.280093 + 13.5769i 0.0272050 + 1.31870i
\(107\) −5.94171 + 9.24548i −0.574406 + 0.893794i −0.999938 0.0111498i \(-0.996451\pi\)
0.425531 + 0.904944i \(0.360087\pi\)
\(108\) −1.85198 0.755092i −0.178207 0.0726587i
\(109\) −18.4196 2.64835i −1.76428 0.253666i −0.817589 0.575802i \(-0.804690\pi\)
−0.946693 + 0.322136i \(0.895599\pi\)
\(110\) −0.911785 + 1.09719i −0.0869352 + 0.104613i
\(111\) 0.970659 + 6.75108i 0.0921308 + 0.640784i
\(112\) 2.26451 + 2.21475i 0.213976 + 0.209274i
\(113\) −10.4783 + 12.0926i −0.985712 + 1.13757i 0.00477784 + 0.999989i \(0.498479\pi\)
−0.990490 + 0.137584i \(0.956066\pi\)
\(114\) −4.16337 8.64030i −0.389935 0.809238i
\(115\) −4.06356 + 1.29510i −0.378929 + 0.120769i
\(116\) −1.54965 1.23465i −0.143881 0.114635i
\(117\) 4.85410 + 4.20610i 0.448762 + 0.388854i
\(118\) 6.19944 10.0986i 0.570705 0.929651i
\(119\) −0.207985 1.44657i −0.0190660 0.132607i
\(120\) −0.511254 2.46282i −0.0466709 0.224824i
\(121\) −1.38235 + 9.61445i −0.125668 + 0.874041i
\(122\) −8.39852 + 7.58624i −0.760367 + 0.686826i
\(123\) −0.192082 + 0.298886i −0.0173195 + 0.0269496i
\(124\) 3.65556 + 7.20264i 0.328279 + 0.646816i
\(125\) −2.30731 + 7.85798i −0.206372 + 0.702839i
\(126\) 0.444107 1.02806i 0.0395642 0.0915871i
\(127\) −6.22427 7.18319i −0.552315 0.637405i 0.409106 0.912487i \(-0.365841\pi\)
−0.961421 + 0.275082i \(0.911295\pi\)
\(128\) 3.17017 10.8605i 0.280206 0.959940i
\(129\) −1.64755 + 3.60762i −0.145058 + 0.317633i
\(130\) −0.984437 + 8.01764i −0.0863409 + 0.703193i
\(131\) 1.62113 + 5.52106i 0.141639 + 0.482377i 0.999504 0.0314977i \(-0.0100277\pi\)
−0.857865 + 0.513875i \(0.828210\pi\)
\(132\) 1.55509 + 1.65179i 0.135353 + 0.143770i
\(133\) 4.88513 2.23096i 0.423594 0.193449i
\(134\) 9.63144 + 14.3282i 0.832030 + 1.23777i
\(135\) −0.748130 + 0.480794i −0.0643888 + 0.0413801i
\(136\) −4.20839 + 3.08830i −0.360867 + 0.264819i
\(137\) −6.82572 −0.583161 −0.291580 0.956546i \(-0.594181\pi\)
−0.291580 + 0.956546i \(0.594181\pi\)
\(138\) 1.25666 + 6.66489i 0.106974 + 0.567353i
\(139\) 2.95143i 0.250337i −0.992135 0.125169i \(-0.960053\pi\)
0.992135 0.125169i \(-0.0399471\pi\)
\(140\) 1.38465 0.257768i 0.117024 0.0217854i
\(141\) 6.89273 + 10.7253i 0.580472 + 0.903233i
\(142\) −3.34663 + 2.24962i −0.280843 + 0.188784i
\(143\) −3.02655 6.62723i −0.253093 0.554197i
\(144\) −3.98639 + 0.329661i −0.332199 + 0.0274717i
\(145\) −0.845328 + 0.248211i −0.0702006 + 0.0206128i
\(146\) 0.571643 4.65568i 0.0473095 0.385307i
\(147\) −5.79702 2.64741i −0.478130 0.218355i
\(148\) 7.84189 + 11.1616i 0.644600 + 0.917479i
\(149\) −13.1651 + 11.4076i −1.07853 + 0.934550i −0.998063 0.0622079i \(-0.980186\pi\)
−0.0804645 + 0.996757i \(0.525640\pi\)
\(150\) 5.46455 + 2.36060i 0.446178 + 0.192742i
\(151\) 2.09304 + 0.614571i 0.170329 + 0.0500131i 0.365785 0.930699i \(-0.380801\pi\)
−0.195456 + 0.980712i \(0.562619\pi\)
\(152\) −15.2460 11.6411i −1.23661 0.944214i
\(153\) 1.55257 + 0.997774i 0.125518 + 0.0806653i
\(154\) −0.942673 + 0.851500i −0.0759628 + 0.0686158i
\(155\) 3.55498 + 0.511130i 0.285543 + 0.0410549i
\(156\) 12.4642 + 3.10766i 0.997936 + 0.248812i
\(157\) 4.42117 0.635668i 0.352848 0.0507318i 0.0363878 0.999338i \(-0.488415\pi\)
0.316460 + 0.948606i \(0.397506\pi\)
\(158\) −8.70342 5.34296i −0.692407 0.425063i
\(159\) 6.28820 7.25697i 0.498687 0.575515i
\(160\) −3.14103 3.92956i −0.248320 0.310659i
\(161\) −3.74568 + 0.626532i −0.295201 + 0.0493776i
\(162\) 0.613894 + 1.27402i 0.0482321 + 0.100097i
\(163\) −13.3038 11.5278i −1.04204 0.902930i −0.0466534 0.998911i \(-0.514856\pi\)
−0.995383 + 0.0959813i \(0.969401\pi\)
\(164\) −0.0720313 + 0.706912i −0.00562470 + 0.0552005i
\(165\) 0.998487 0.143561i 0.0777321 0.0111762i
\(166\) −14.0249 11.6550i −1.08855 0.904603i
\(167\) −0.219565 + 1.52711i −0.0169905 + 0.118171i −0.996552 0.0829754i \(-0.973558\pi\)
0.979561 + 0.201147i \(0.0644668\pi\)
\(168\) −0.138512 2.23548i −0.0106864 0.172471i
\(169\) −23.7684 15.2750i −1.82834 1.17500i
\(170\) 0.0478738 + 2.32058i 0.00367175 + 0.177980i
\(171\) −1.91068 + 6.50719i −0.146114 + 0.497617i
\(172\) 0.327139 + 7.92530i 0.0249441 + 0.604298i
\(173\) −0.419528 + 0.363523i −0.0318961 + 0.0276382i −0.670663 0.741762i \(-0.733990\pi\)
0.638767 + 0.769400i \(0.279445\pi\)
\(174\) 0.227949 + 1.38236i 0.0172807 + 0.104797i
\(175\) −1.38463 + 3.03192i −0.104668 + 0.229192i
\(176\) 4.26856 + 1.53829i 0.321754 + 0.115953i
\(177\) −8.03958 + 2.36063i −0.604292 + 0.177436i
\(178\) −1.81254 + 0.573075i −0.135856 + 0.0429538i
\(179\) 14.1844 6.47779i 1.06019 0.484173i 0.192510 0.981295i \(-0.438337\pi\)
0.867680 + 0.497123i \(0.165610\pi\)
\(180\) −0.899060 + 1.53464i −0.0670119 + 0.114386i
\(181\) −0.732616 1.13997i −0.0544549 0.0847335i 0.812959 0.582322i \(-0.197856\pi\)
−0.867413 + 0.497588i \(0.834219\pi\)
\(182\) −1.88370 + 6.94187i −0.139629 + 0.514566i
\(183\) 8.00269 0.591576
\(184\) 8.27394 + 10.7490i 0.609963 + 0.792430i
\(185\) 6.06550 0.445944
\(186\) 1.49573 5.51211i 0.109672 0.404168i
\(187\) −1.13180 1.76111i −0.0827651 0.128785i
\(188\) 22.0009 + 12.8890i 1.60458 + 0.940030i
\(189\) −0.720318 + 0.328958i −0.0523954 + 0.0239282i
\(190\) −8.13256 + 2.57129i −0.589998 + 0.186541i
\(191\) −11.5684 + 3.39679i −0.837061 + 0.245783i −0.672048 0.740508i \(-0.734585\pi\)
−0.165014 + 0.986291i \(0.552767\pi\)
\(192\) −6.81114 + 4.19623i −0.491552 + 0.302837i
\(193\) −5.46934 + 11.9762i −0.393692 + 0.862065i 0.604179 + 0.796848i \(0.293501\pi\)
−0.997871 + 0.0652166i \(0.979226\pi\)
\(194\) 1.77613 + 10.7711i 0.127519 + 0.773323i
\(195\) 4.31677 3.74050i 0.309130 0.267863i
\(196\) −12.7350 + 0.525674i −0.909644 + 0.0375481i
\(197\) 5.84775 19.9156i 0.416635 1.41893i −0.437661 0.899140i \(-0.644193\pi\)
0.854295 0.519788i \(-0.173989\pi\)
\(198\) −0.0330872 1.60383i −0.00235141 0.113979i
\(199\) −1.82084 1.17018i −0.129076 0.0829519i 0.474510 0.880250i \(-0.342625\pi\)
−0.603585 + 0.797298i \(0.706262\pi\)
\(200\) 11.8825 0.736246i 0.840217 0.0520604i
\(201\) 1.73735 12.0835i 0.122543 0.852308i
\(202\) 9.32022 + 7.74528i 0.655768 + 0.544956i
\(203\) −0.776513 + 0.111646i −0.0545005 + 0.00783600i
\(204\) 3.67207 + 0.374168i 0.257096 + 0.0261970i
\(205\) 0.238785 + 0.206908i 0.0166774 + 0.0144511i
\(206\) −5.02707 10.4327i −0.350252 0.726884i
\(207\) 2.49962 4.09291i 0.173736 0.284477i
\(208\) 25.0422 5.73968i 1.73637 0.397975i
\(209\) 5.03775 5.81387i 0.348468 0.402154i
\(210\) −0.848747 0.521039i −0.0585691 0.0359551i
\(211\) −11.1942 + 1.60949i −0.770643 + 0.110802i −0.516410 0.856341i \(-0.672732\pi\)
−0.254233 + 0.967143i \(0.581823\pi\)
\(212\) 4.64601 18.6342i 0.319090 1.27980i
\(213\) 2.82236 + 0.405794i 0.193385 + 0.0278045i
\(214\) 11.5337 10.4182i 0.788428 0.712173i
\(215\) 2.96710 + 1.90684i 0.202354 + 0.130045i
\(216\) 2.24804 + 1.71649i 0.152960 + 0.116792i
\(217\) 3.06854 + 0.901004i 0.208306 + 0.0611641i
\(218\) 24.1594 + 10.4365i 1.63628 + 0.706847i
\(219\) −2.50666 + 2.17203i −0.169384 + 0.146772i
\(220\) 1.65081 1.15982i 0.111297 0.0781950i
\(221\) −10.7825 4.92421i −0.725310 0.331238i
\(222\) 1.17550 9.57375i 0.0788946 0.642548i
\(223\) −16.8570 + 4.94966i −1.12883 + 0.331453i −0.792246 0.610201i \(-0.791089\pi\)
−0.336580 + 0.941655i \(0.609270\pi\)
\(224\) −2.27049 3.86150i −0.151703 0.258007i
\(225\) −1.74854 3.82877i −0.116569 0.255251i
\(226\) 18.7799 12.6239i 1.24922 0.839730i
\(227\) 4.30887 + 6.70473i 0.285989 + 0.445008i 0.954290 0.298883i \(-0.0966142\pi\)
−0.668300 + 0.743892i \(0.732978\pi\)
\(228\) 2.48240 + 13.3347i 0.164401 + 0.883113i
\(229\) 9.51660i 0.628875i 0.949278 + 0.314437i \(0.101816\pi\)
−0.949278 + 0.314437i \(0.898184\pi\)
\(230\) 6.02583 0.262658i 0.397331 0.0173192i
\(231\) 0.898244 0.0591001
\(232\) 1.65779 + 2.25905i 0.108839 + 0.148314i
\(233\) 20.4500 13.1424i 1.33973 0.860989i 0.342804 0.939407i \(-0.388623\pi\)
0.996921 + 0.0784178i \(0.0249868\pi\)
\(234\) −5.06739 7.53848i −0.331266 0.492806i
\(235\) 10.3133 4.70993i 0.672766 0.307242i
\(236\) −12.2014 + 11.4871i −0.794247 + 0.747748i
\(237\) 2.03450 + 6.92887i 0.132155 + 0.450078i
\(238\) −0.251878 + 2.05139i −0.0163268 + 0.132972i
\(239\) −12.7572 + 27.9343i −0.825193 + 1.80692i −0.306814 + 0.951770i \(0.599263\pi\)
−0.518379 + 0.855151i \(0.673464\pi\)
\(240\) −0.214338 + 3.55075i −0.0138354 + 0.229200i
\(241\) −12.4830 14.4061i −0.804098 0.927978i 0.194501 0.980902i \(-0.437691\pi\)
−0.998599 + 0.0529241i \(0.983146\pi\)
\(242\) 5.44749 12.6104i 0.350178 0.810626i
\(243\) 0.281733 0.959493i 0.0180732 0.0615515i
\(244\) 14.2724 7.24367i 0.913697 0.463729i
\(245\) −3.06406 + 4.76778i −0.195756 + 0.304602i
\(246\) 0.372859 0.336797i 0.0237726 0.0214734i
\(247\) 6.19915 43.1161i 0.394443 2.74341i
\(248\) −2.32176 11.1844i −0.147432 0.710213i
\(249\) 1.83508 + 12.7633i 0.116294 + 0.808840i
\(250\) 6.05941 9.87049i 0.383231 0.624265i
\(251\) 21.6251 + 18.7383i 1.36497 + 1.18275i 0.963763 + 0.266760i \(0.0859530\pi\)
0.401202 + 0.915989i \(0.368592\pi\)
\(252\) −0.986894 + 1.23868i −0.0621685 + 0.0780295i
\(253\) −4.50778 + 3.04526i −0.283402 + 0.191454i
\(254\) 5.83489 + 12.1092i 0.366114 + 0.759801i
\(255\) 1.07479 1.24037i 0.0673058 0.0776750i
\(256\) −8.34909 + 13.6489i −0.521818 + 0.853057i
\(257\) −2.66700 18.5494i −0.166363 1.15708i −0.886324 0.463066i \(-0.846749\pi\)
0.719961 0.694015i \(-0.244160\pi\)
\(258\) 3.58477 4.31371i 0.223178 0.268560i
\(259\) 5.34604 + 0.768644i 0.332187 + 0.0477612i
\(260\) 4.31301 10.5783i 0.267481 0.656041i
\(261\) 0.535602 0.833413i 0.0331529 0.0515870i
\(262\) −0.167844 8.13586i −0.0103694 0.502635i
\(263\) 8.63886 + 2.53660i 0.532695 + 0.156413i 0.537008 0.843577i \(-0.319555\pi\)
−0.00431259 + 0.999991i \(0.501373\pi\)
\(264\) −1.51072 2.83040i −0.0929786 0.174199i
\(265\) −5.59212 6.45365i −0.343521 0.396444i
\(266\) −7.49376 + 1.23570i −0.459472 + 0.0757658i
\(267\) 1.22272 + 0.558399i 0.0748294 + 0.0341735i
\(268\) −7.83900 23.1230i −0.478843 1.41246i
\(269\) −0.511330 1.74143i −0.0311764 0.106177i 0.942435 0.334389i \(-0.108530\pi\)
−0.973611 + 0.228213i \(0.926712\pi\)
\(270\) 1.19916 0.379139i 0.0729783 0.0230737i
\(271\) −7.75032 16.9708i −0.470799 1.03090i −0.984892 0.173171i \(-0.944599\pi\)
0.514093 0.857734i \(-0.328129\pi\)
\(272\) 6.88763 2.65648i 0.417624 0.161073i
\(273\) 4.27874 2.74978i 0.258961 0.166424i
\(274\) 9.31613 + 2.52796i 0.562808 + 0.152719i
\(275\) 4.77451i 0.287914i
\(276\) 0.753236 9.56204i 0.0453395 0.575567i
\(277\) 5.85173i 0.351596i −0.984426 0.175798i \(-0.943749\pi\)
0.984426 0.175798i \(-0.0562506\pi\)
\(278\) −1.09308 + 4.02828i −0.0655589 + 0.241600i
\(279\) −3.39749 + 2.18343i −0.203402 + 0.130719i
\(280\) −1.98532 0.161000i −0.118645 0.00962157i
\(281\) 1.99010 + 4.35771i 0.118719 + 0.259959i 0.959657 0.281172i \(-0.0907233\pi\)
−0.840938 + 0.541132i \(0.817996\pi\)
\(282\) −5.43539 17.1913i −0.323673 1.02372i
\(283\) 6.29052 + 21.4235i 0.373932 + 1.27350i 0.904725 + 0.425995i \(0.140076\pi\)
−0.530793 + 0.847502i \(0.678106\pi\)
\(284\) 5.40084 1.83096i 0.320481 0.108647i
\(285\) 5.48615 + 2.50544i 0.324971 + 0.148409i
\(286\) 1.67637 + 10.1661i 0.0991258 + 0.601136i
\(287\) 0.184241 + 0.212625i 0.0108754 + 0.0125509i
\(288\) 5.56295 + 1.02645i 0.327800 + 0.0604842i
\(289\) 13.0433 + 3.82987i 0.767255 + 0.225286i
\(290\) 1.24568 0.0256985i 0.0731488 0.00150907i
\(291\) 4.17332 6.49381i 0.244644 0.380674i
\(292\) −2.50448 + 6.14263i −0.146563 + 0.359470i
\(293\) −6.86929 0.987655i −0.401308 0.0576994i −0.0612941 0.998120i \(-0.519523\pi\)
−0.340014 + 0.940420i \(0.610432\pi\)
\(294\) 6.93162 + 5.76031i 0.404260 + 0.335948i
\(295\) 1.06045 + 7.37561i 0.0617420 + 0.429425i
\(296\) −6.56927 18.1383i −0.381831 1.05427i
\(297\) −0.742822 + 0.857262i −0.0431029 + 0.0497434i
\(298\) 22.1934 10.6940i 1.28563 0.619486i
\(299\) −12.1502 + 28.3056i −0.702662 + 1.63695i
\(300\) −6.58406 5.24572i −0.380131 0.302862i
\(301\) 2.37351 + 2.05666i 0.136807 + 0.118544i
\(302\) −2.62909 1.61397i −0.151287 0.0928738i
\(303\) −1.21950 8.48179i −0.0700583 0.487266i
\(304\) 16.4972 + 21.5348i 0.946180 + 1.23511i
\(305\) 1.01283 7.04438i 0.0579944 0.403360i
\(306\) −1.74950 1.93682i −0.100012 0.110721i
\(307\) 13.2337 20.5921i 0.755288 1.17525i −0.224355 0.974507i \(-0.572028\pi\)
0.979644 0.200744i \(-0.0643360\pi\)
\(308\) 1.60197 0.813050i 0.0912809 0.0463278i
\(309\) −2.30706 + 7.85711i −0.131244 + 0.446976i
\(310\) −4.66275 2.01423i −0.264826 0.114401i
\(311\) 5.03456 + 5.81019i 0.285484 + 0.329466i 0.880319 0.474382i \(-0.157328\pi\)
−0.594836 + 0.803847i \(0.702783\pi\)
\(312\) −15.8609 8.85773i −0.897948 0.501470i
\(313\) −9.61647 + 21.0571i −0.543555 + 1.19022i 0.416172 + 0.909286i \(0.363371\pi\)
−0.959727 + 0.280934i \(0.909356\pi\)
\(314\) −6.26969 0.769817i −0.353819 0.0434433i
\(315\) 0.198402 + 0.675695i 0.0111787 + 0.0380711i
\(316\) 9.90012 + 10.5158i 0.556925 + 0.591557i
\(317\) 19.0697 8.70884i 1.07106 0.489137i 0.199739 0.979849i \(-0.435990\pi\)
0.871322 + 0.490712i \(0.163263\pi\)
\(318\) −11.2702 + 7.57584i −0.632000 + 0.424832i
\(319\) −0.945357 + 0.607544i −0.0529298 + 0.0340159i
\(320\) 2.83172 + 6.52660i 0.158298 + 0.364848i
\(321\) −10.9901 −0.613409
\(322\) 5.34436 + 0.532114i 0.297829 + 0.0296535i
\(323\) 12.5163i 0.696424i
\(324\) −0.366033 1.96622i −0.0203352 0.109234i
\(325\) 14.6161 + 22.7432i 0.810758 + 1.26156i
\(326\) 13.8884 + 20.6610i 0.769208 + 1.14431i
\(327\) −7.73048 16.9274i −0.427497 0.936087i
\(328\) 0.360123 0.938156i 0.0198844 0.0518010i
\(329\) 9.68685 2.84432i 0.534053 0.156812i
\(330\) −1.41596 0.173857i −0.0779461 0.00957053i
\(331\) −20.5852 9.40095i −1.13147 0.516723i −0.240435 0.970665i \(-0.577290\pi\)
−0.891031 + 0.453942i \(0.850017\pi\)
\(332\) 14.8255 + 21.1016i 0.813656 + 1.15810i
\(333\) −5.15459 + 4.46648i −0.282470 + 0.244762i
\(334\) 0.865253 2.00297i 0.0473445 0.109598i
\(335\) −10.4167 3.05861i −0.569124 0.167110i
\(336\) −0.638879 + 3.10242i −0.0348537 + 0.169251i
\(337\) 8.25875 + 5.30757i 0.449883 + 0.289122i 0.745897 0.666062i \(-0.232021\pi\)
−0.296014 + 0.955184i \(0.595658\pi\)
\(338\) 26.7832 + 29.6510i 1.45682 + 1.61280i
\(339\) −15.8379 2.27714i −0.860196 0.123678i
\(340\) 0.794103 3.18499i 0.0430663 0.172730i
\(341\) 4.53444 0.651954i 0.245554 0.0353053i
\(342\) 5.01780 8.17375i 0.271331 0.441986i
\(343\) −6.93480 + 8.00319i −0.374444 + 0.432132i
\(344\) 2.48870 10.9381i 0.134181 0.589740i
\(345\) −3.28643 2.71830i −0.176936 0.146348i
\(346\) 0.707230 0.340782i 0.0380209 0.0183206i
\(347\) −14.4921 12.5575i −0.777976 0.674120i 0.172468 0.985015i \(-0.444826\pi\)
−0.950444 + 0.310895i \(0.899371\pi\)
\(348\) 0.200852 1.97115i 0.0107668 0.105665i
\(349\) −0.0289926 + 0.00416851i −0.00155194 + 0.000223135i −0.143091 0.989710i \(-0.545704\pi\)
0.141539 + 0.989933i \(0.454795\pi\)
\(350\) 3.01272 3.62533i 0.161037 0.193782i
\(351\) −0.914073 + 6.35752i −0.0487896 + 0.339339i
\(352\) −5.25625 3.68044i −0.280159 0.196168i
\(353\) −11.1652 7.17541i −0.594262 0.381909i 0.208665 0.977987i \(-0.433088\pi\)
−0.802926 + 0.596079i \(0.796725\pi\)
\(354\) 11.8472 0.244408i 0.629669 0.0129902i
\(355\) 0.714401 2.43303i 0.0379165 0.129132i
\(356\) 2.68610 0.110876i 0.142363 0.00587644i
\(357\) 1.10449 0.957042i 0.0584556 0.0506520i
\(358\) −21.7587 + 3.58796i −1.14999 + 0.189630i
\(359\) −4.40130 + 9.63751i −0.232292 + 0.508648i −0.989501 0.144524i \(-0.953835\pi\)
0.757209 + 0.653172i \(0.226562\pi\)
\(360\) 1.79546 1.76160i 0.0946288 0.0928443i
\(361\) 25.9008 7.60515i 1.36320 0.400271i
\(362\) 0.577719 + 1.82723i 0.0303642 + 0.0960371i
\(363\) −8.83554 + 4.03506i −0.463746 + 0.211786i
\(364\) 5.14195 8.77702i 0.269511 0.460041i
\(365\) 1.59469 + 2.48139i 0.0834699 + 0.129882i
\(366\) −10.9225 2.96386i −0.570930 0.154923i
\(367\) −14.5413 −0.759051 −0.379525 0.925181i \(-0.623913\pi\)
−0.379525 + 0.925181i \(0.623913\pi\)
\(368\) −7.31176 17.7352i −0.381152 0.924512i
\(369\) −0.355286 −0.0184955
\(370\) −8.27854 2.24640i −0.430381 0.116785i
\(371\) −4.11098 6.39680i −0.213431 0.332105i
\(372\) −4.08291 + 6.96929i −0.211689 + 0.361341i
\(373\) 17.5388 8.00970i 0.908124 0.414726i 0.0941036 0.995562i \(-0.470001\pi\)
0.814021 + 0.580836i \(0.197274\pi\)
\(374\) 0.892499 + 2.82283i 0.0461501 + 0.145965i
\(375\) −7.85798 + 2.30731i −0.405784 + 0.119149i
\(376\) −25.2545 25.7399i −1.30240 1.32743i
\(377\) −2.64330 + 5.78802i −0.136137 + 0.298098i
\(378\) 1.10496 0.182206i 0.0568332 0.00937165i
\(379\) −19.5646 + 16.9528i −1.00496 + 0.870806i −0.991631 0.129105i \(-0.958790\pi\)
−0.0133331 + 0.999911i \(0.504244\pi\)
\(380\) 12.0521 0.497484i 0.618259 0.0255204i
\(381\) 2.67779 9.11972i 0.137187 0.467217i
\(382\) 17.0473 0.351687i 0.872214 0.0179939i
\(383\) −7.35781 4.72858i −0.375967 0.241619i 0.338987 0.940791i \(-0.389916\pi\)
−0.714954 + 0.699172i \(0.753552\pi\)
\(384\) 10.8503 3.20470i 0.553704 0.163539i
\(385\) 0.113683 0.790681i 0.00579381 0.0402968i
\(386\) 11.9003 14.3202i 0.605712 0.728878i
\(387\) −3.92565 + 0.564424i −0.199552 + 0.0286913i
\(388\) 1.56500 15.3589i 0.0794510 0.779729i
\(389\) −4.84591 4.19901i −0.245697 0.212898i 0.523302 0.852147i \(-0.324700\pi\)
−0.769000 + 0.639249i \(0.779245\pi\)
\(390\) −7.27709 + 3.50650i −0.368490 + 0.177559i
\(391\) −2.29818 + 8.54733i −0.116224 + 0.432257i
\(392\) 17.5762 + 3.99904i 0.887730 + 0.201982i
\(393\) −3.76816 + 4.34869i −0.190079 + 0.219362i
\(394\) −15.3572 + 25.0162i −0.773686 + 1.26030i
\(395\) 6.35663 0.913946i 0.319837 0.0459856i
\(396\) −0.548831 + 2.20125i −0.0275798 + 0.110617i
\(397\) −6.69573 0.962700i −0.336049 0.0483165i −0.0277750 0.999614i \(-0.508842\pi\)
−0.308274 + 0.951298i \(0.599751\pi\)
\(398\) 2.05180 + 2.27149i 0.102847 + 0.113859i
\(399\) 4.51791 + 2.90348i 0.226178 + 0.145356i
\(400\) −16.4905 3.39589i −0.824527 0.169794i
\(401\) 34.1537 + 10.0284i 1.70555 + 0.500796i 0.981905 0.189373i \(-0.0606455\pi\)
0.723648 + 0.690169i \(0.242464\pi\)
\(402\) −6.84647 + 15.8489i −0.341471 + 0.790470i
\(403\) 19.6038 16.9868i 0.976533 0.846171i
\(404\) −9.85224 14.0230i −0.490167 0.697671i
\(405\) −0.808939 0.369430i −0.0401965 0.0183571i
\(406\) 1.10118 + 0.135207i 0.0546506 + 0.00671021i
\(407\) 7.42325 2.17966i 0.367957 0.108042i
\(408\) −4.87327 1.87066i −0.241263 0.0926116i
\(409\) 11.9733 + 26.2178i 0.592040 + 1.29639i 0.934202 + 0.356746i \(0.116114\pi\)
−0.342161 + 0.939641i \(0.611159\pi\)
\(410\) −0.249277 0.370835i −0.0123109 0.0183143i
\(411\) −3.69026 5.74216i −0.182027 0.283240i
\(412\) 2.99738 + 16.1010i 0.147670 + 0.793240i
\(413\) 6.63514i 0.326494i
\(414\) −4.92747 + 4.66048i −0.242172 + 0.229050i
\(415\) 11.4671 0.562900
\(416\) −36.3048 1.44074i −1.77999 0.0706379i
\(417\) 2.48290 1.59566i 0.121588 0.0781400i
\(418\) −9.02901 + 6.06933i −0.441623 + 0.296861i
\(419\) 5.77576 2.63770i 0.282164 0.128860i −0.269306 0.963055i \(-0.586794\pi\)
0.551470 + 0.834195i \(0.314067\pi\)
\(420\) 0.965448 + 1.02548i 0.0471090 + 0.0500385i
\(421\) 5.82648 + 19.8432i 0.283965 + 0.967097i 0.970721 + 0.240209i \(0.0772159\pi\)
−0.686756 + 0.726888i \(0.740966\pi\)
\(422\) 15.8746 + 1.94915i 0.772765 + 0.0948831i
\(423\) −5.29620 + 11.5971i −0.257510 + 0.563868i
\(424\) −13.2425 + 23.7124i −0.643111 + 1.15158i
\(425\) 5.08705 + 5.87077i 0.246758 + 0.284774i
\(426\) −3.70183 1.59913i −0.179354 0.0774782i
\(427\) 1.78539 6.08046i 0.0864008 0.294254i
\(428\) −19.6003 + 9.94775i −0.947418 + 0.480843i
\(429\) 3.93890 6.12905i 0.190172 0.295913i
\(430\) −3.34345 3.70145i −0.161236 0.178500i
\(431\) −2.50765 + 17.4411i −0.120789 + 0.840108i 0.835876 + 0.548918i \(0.184960\pi\)
−0.956665 + 0.291189i \(0.905949\pi\)
\(432\) −2.43253 3.17534i −0.117035 0.152774i
\(433\) −3.23304 22.4863i −0.155370 1.08062i −0.907029 0.421069i \(-0.861655\pi\)
0.751659 0.659552i \(-0.229254\pi\)
\(434\) −3.85442 2.36620i −0.185018 0.113581i
\(435\) −0.665827 0.576942i −0.0319239 0.0276623i
\(436\) −29.1088 23.1919i −1.39406 1.11069i
\(437\) −32.5163 + 0.745860i −1.55547 + 0.0356793i
\(438\) 4.22566 2.03615i 0.201910 0.0972912i
\(439\) −7.49398 + 8.64851i −0.357668 + 0.412771i −0.905857 0.423583i \(-0.860772\pi\)
0.548189 + 0.836355i \(0.315317\pi\)
\(440\) −2.68266 + 0.971598i −0.127891 + 0.0463191i
\(441\) −0.906962 6.30806i −0.0431887 0.300384i
\(442\) 12.8929 + 10.7142i 0.613251 + 0.509624i
\(443\) 16.8742 + 2.42615i 0.801718 + 0.115270i 0.530981 0.847384i \(-0.321823\pi\)
0.270737 + 0.962653i \(0.412733\pi\)
\(444\) −5.15011 + 12.6314i −0.244413 + 0.599462i
\(445\) 0.646281 1.00563i 0.0306366 0.0476715i
\(446\) 24.8405 0.512463i 1.17623 0.0242658i
\(447\) −16.7143 4.90776i −0.790560 0.232129i
\(448\) 1.66876 + 6.11129i 0.0788413 + 0.288731i
\(449\) 21.7897 + 25.1466i 1.02832 + 1.18674i 0.982206 + 0.187807i \(0.0601380\pi\)
0.0461132 + 0.998936i \(0.485316\pi\)
\(450\) 0.968494 + 5.87331i 0.0456552 + 0.276870i
\(451\) 0.366589 + 0.167416i 0.0172620 + 0.00788330i
\(452\) −30.3073 + 10.2746i −1.42553 + 0.483275i
\(453\) 0.614571 + 2.09304i 0.0288751 + 0.0983395i
\(454\) −3.39784 10.7468i −0.159469 0.504373i
\(455\) −1.87898 4.11439i −0.0880878 0.192885i
\(456\) 1.55049 19.1194i 0.0726082 0.895346i
\(457\) −20.1637 + 12.9584i −0.943219 + 0.606170i −0.919306 0.393544i \(-0.871249\pi\)
−0.0239134 + 0.999714i \(0.507613\pi\)
\(458\) 3.52454 12.9888i 0.164691 0.606927i
\(459\) 1.84554i 0.0861424i
\(460\) −8.32167 1.87322i −0.388000 0.0873393i
\(461\) 0.746061i 0.0347475i −0.999849 0.0173738i \(-0.994469\pi\)
0.999849 0.0173738i \(-0.00553052\pi\)
\(462\) −1.22597 0.332671i −0.0570375 0.0154773i
\(463\) −18.4416 + 11.8517i −0.857054 + 0.550795i −0.893767 0.448531i \(-0.851947\pi\)
0.0367138 + 0.999326i \(0.488311\pi\)
\(464\) −1.42599 3.69726i −0.0661998 0.171641i
\(465\) 1.49198 + 3.26698i 0.0691889 + 0.151503i
\(466\) −32.7787 + 10.3637i −1.51845 + 0.480090i
\(467\) −3.37078 11.4798i −0.155981 0.531222i 0.844006 0.536334i \(-0.180191\pi\)
−0.999987 + 0.00511143i \(0.998373\pi\)
\(468\) 4.12433 + 12.1657i 0.190647 + 0.562359i
\(469\) −8.79350 4.01586i −0.406046 0.185435i
\(470\) −15.8205 + 2.60877i −0.729748 + 0.120334i
\(471\) 2.92502 + 3.37566i 0.134778 + 0.155542i
\(472\) 20.9076 11.1594i 0.962349 0.513653i
\(473\) 4.31651 + 1.26744i 0.198473 + 0.0582770i
\(474\) −0.210642 10.2104i −0.00967511 0.468979i
\(475\) −15.4331 + 24.0144i −0.708120 + 1.10186i
\(476\) 1.10352 2.70657i 0.0505800 0.124055i
\(477\) 9.50461 + 1.36656i 0.435186 + 0.0625703i
\(478\) 27.7574 33.4016i 1.26959 1.52776i
\(479\) −0.545301 3.79266i −0.0249155 0.173291i 0.973564 0.228414i \(-0.0733540\pi\)
−0.998480 + 0.0551231i \(0.982445\pi\)
\(480\) 1.60759 4.76689i 0.0733760 0.217578i
\(481\) 28.6877 33.1074i 1.30805 1.50957i
\(482\) 11.7020 + 24.2854i 0.533013 + 1.10617i
\(483\) −2.55214 2.81234i −0.116126 0.127966i
\(484\) −12.1054 + 15.1939i −0.550246 + 0.690630i
\(485\) −5.18800 4.49543i −0.235575 0.204127i
\(486\) −0.739880 + 1.20523i −0.0335616 + 0.0546703i
\(487\) 0.693513 + 4.82349i 0.0314261 + 0.218573i 0.999483 0.0321582i \(-0.0102380\pi\)
−0.968057 + 0.250731i \(0.919329\pi\)
\(488\) −22.1625 + 4.60069i −1.00325 + 0.208263i
\(489\) 2.50524 17.4243i 0.113291 0.787955i
\(490\) 5.94779 5.37254i 0.268694 0.242706i
\(491\) −0.0698481 + 0.108686i −0.00315220 + 0.00490492i −0.842826 0.538186i \(-0.819110\pi\)
0.839674 + 0.543091i \(0.182746\pi\)
\(492\) −0.633635 + 0.321589i −0.0285665 + 0.0144983i
\(493\) −0.515103 + 1.75428i −0.0231991 + 0.0790087i
\(494\) −24.4293 + 56.5514i −1.09913 + 2.54437i
\(495\) 0.660594 + 0.762366i 0.0296915 + 0.0342658i
\(496\) −0.973373 + 16.1250i −0.0437057 + 0.724036i
\(497\) 0.937985 2.05390i 0.0420744 0.0921300i
\(498\) 2.22235 18.0997i 0.0995859 0.811066i
\(499\) −3.00511 10.2345i −0.134527 0.458158i 0.864482 0.502664i \(-0.167647\pi\)
−0.999009 + 0.0445063i \(0.985829\pi\)
\(500\) −11.9258 + 11.2277i −0.533340 + 0.502116i
\(501\) −1.40339 + 0.640908i −0.0626990 + 0.0286337i
\(502\) −22.5753 33.5841i −1.00759 1.49893i
\(503\) −16.1529 + 10.3808i −0.720221 + 0.462858i −0.848714 0.528852i \(-0.822623\pi\)
0.128493 + 0.991710i \(0.458986\pi\)
\(504\) 1.80572 1.32512i 0.0804333 0.0590254i
\(505\) −7.62045 −0.339106
\(506\) 7.28031 2.48686i 0.323649 0.110554i
\(507\) 28.2535i 1.25478i
\(508\) −3.47905 18.6884i −0.154358 0.829163i
\(509\) −19.5110 30.3596i −0.864808 1.34567i −0.937381 0.348305i \(-0.886758\pi\)
0.0725734 0.997363i \(-0.476879\pi\)
\(510\) −1.92631 + 1.29487i −0.0852985 + 0.0573379i
\(511\) 1.09108 + 2.38914i 0.0482667 + 0.105689i
\(512\) 16.4503 15.5367i 0.727007 0.686630i
\(513\) −6.50719 + 1.91068i −0.287299 + 0.0843587i
\(514\) −3.22984 + 26.3050i −0.142462 + 1.16027i
\(515\) 6.62425 + 3.02520i 0.291900 + 0.133306i
\(516\) −6.49032 + 4.55995i −0.285720 + 0.200740i
\(517\) 10.9294 9.47037i 0.480674 0.416506i
\(518\) −7.01190 3.02903i −0.308085 0.133088i
\(519\) −0.532629 0.156394i −0.0233798 0.00686494i
\(520\) −9.80441 + 12.8406i −0.429952 + 0.563096i
\(521\) 14.4807 + 9.30618i 0.634411 + 0.407711i 0.817940 0.575303i \(-0.195116\pi\)
−0.183529 + 0.983014i \(0.558752\pi\)
\(522\) −1.03968 + 0.939125i −0.0455056 + 0.0411044i
\(523\) 17.7935 + 2.55832i 0.778054 + 0.111867i 0.519889 0.854234i \(-0.325973\pi\)
0.258165 + 0.966101i \(0.416882\pi\)
\(524\) −2.78409 + 11.1664i −0.121624 + 0.487808i
\(525\) −3.29920 + 0.474354i −0.143989 + 0.0207025i
\(526\) −10.8514 6.66157i −0.473142 0.290458i
\(527\) 4.88094 5.63290i 0.212617 0.245373i
\(528\) 1.01366 + 4.42260i 0.0441139 + 0.192469i
\(529\) 22.3422 + 5.46116i 0.971402 + 0.237442i
\(530\) 5.24228 + 10.8794i 0.227710 + 0.472571i
\(531\) −6.33241 5.48707i −0.274803 0.238118i
\(532\) 10.6856 + 1.08881i 0.463278 + 0.0472060i
\(533\) 2.25874 0.324757i 0.0978368 0.0140668i
\(534\) −1.46203 1.21498i −0.0632684 0.0525773i
\(535\) −1.39092 + 9.67407i −0.0601348 + 0.418246i
\(536\) 2.13534 + 34.4628i 0.0922326 + 1.48857i
\(537\) 13.1181 + 8.43050i 0.566088 + 0.363803i
\(538\) 0.0529406 + 2.56618i 0.00228243 + 0.110636i
\(539\) −2.03663 + 6.93612i −0.0877238 + 0.298760i
\(540\) −1.77709 + 0.0733546i −0.0764739 + 0.00315668i
\(541\) 9.84429 8.53013i 0.423239 0.366739i −0.417044 0.908886i \(-0.636934\pi\)
0.840283 + 0.542147i \(0.182389\pi\)
\(542\) 4.29280 + 26.0332i 0.184392 + 1.11822i
\(543\) 0.562924 1.23263i 0.0241574 0.0528973i
\(544\) −10.3845 + 1.07483i −0.445231 + 0.0460828i
\(545\) −15.8787 + 4.66242i −0.680171 + 0.199716i
\(546\) −6.85828 + 2.16839i −0.293507 + 0.0927987i
\(547\) 5.73105 2.61728i 0.245042 0.111907i −0.289108 0.957296i \(-0.593359\pi\)
0.534151 + 0.845389i \(0.320632\pi\)
\(548\) −11.7789 6.90060i −0.503172 0.294779i
\(549\) 4.32658 + 6.73229i 0.184654 + 0.287327i
\(550\) 1.76828 6.51653i 0.0753996 0.277866i
\(551\) −6.71870 −0.286226
\(552\) −4.56943 + 12.7719i −0.194488 + 0.543606i
\(553\) 5.71846 0.243174
\(554\) −2.16723 + 7.98678i −0.0920769 + 0.339326i
\(555\) 3.27926 + 5.10262i 0.139197 + 0.216594i
\(556\) 2.98381 5.09320i 0.126542 0.216000i
\(557\) 7.29692 3.33239i 0.309180 0.141198i −0.254782 0.966999i \(-0.582004\pi\)
0.563962 + 0.825801i \(0.309276\pi\)
\(558\) 5.44574 1.72179i 0.230536 0.0728891i
\(559\) 24.4415 7.17667i 1.03376 0.303541i
\(560\) 2.65005 + 0.955020i 0.111985 + 0.0403569i
\(561\) 0.869644 1.90425i 0.0367164 0.0803977i
\(562\) −1.10229 6.68471i −0.0464974 0.281977i
\(563\) −13.1243 + 11.3723i −0.553122 + 0.479283i −0.885999 0.463687i \(-0.846526\pi\)
0.332877 + 0.942970i \(0.391981\pi\)
\(564\) 1.05162 + 25.4767i 0.0442812 + 1.07276i
\(565\) −4.00892 + 13.6531i −0.168657 + 0.574391i
\(566\) −0.651289 31.5698i −0.0273757 1.32698i
\(567\) −0.666171 0.428122i −0.0279765 0.0179794i
\(568\) −8.04948 + 0.498752i −0.337749 + 0.0209272i
\(569\) 1.19462 8.30879i 0.0500812 0.348322i −0.949338 0.314256i \(-0.898245\pi\)
0.999420 0.0340667i \(-0.0108459\pi\)
\(570\) −6.55990 5.45140i −0.274764 0.228334i
\(571\) −41.6652 + 5.99056i −1.74364 + 0.250697i −0.939207 0.343352i \(-0.888438\pi\)
−0.804429 + 0.594049i \(0.797529\pi\)
\(572\) 1.47710 14.4962i 0.0617606 0.606115i
\(573\) −9.11192 7.89553i −0.380656 0.329840i
\(574\) −0.172715 0.358438i −0.00720899 0.0149609i
\(575\) 14.9487 13.5656i 0.623402 0.565725i
\(576\) −7.21248 3.46124i −0.300520 0.144218i
\(577\) 7.04697 8.13264i 0.293369 0.338566i −0.589862 0.807504i \(-0.700818\pi\)
0.883231 + 0.468938i \(0.155363\pi\)
\(578\) −16.3839 10.0579i −0.681479 0.418354i
\(579\) −13.0320 + 1.87371i −0.541590 + 0.0778689i
\(580\) −1.70969 0.426272i −0.0709910 0.0177000i
\(581\) 10.1070 + 1.45316i 0.419308 + 0.0602873i
\(582\) −8.10101 + 7.31750i −0.335798 + 0.303320i
\(583\) −9.16305 5.88873i −0.379495 0.243886i
\(584\) 5.69322 7.45626i 0.235587 0.308542i
\(585\) 5.48053 + 1.60923i 0.226592 + 0.0665334i
\(586\) 9.00981 + 3.89210i 0.372192 + 0.160781i
\(587\) 7.16606 6.20943i 0.295775 0.256290i −0.494313 0.869284i \(-0.664580\pi\)
0.790088 + 0.612994i \(0.210035\pi\)
\(588\) −7.32729 10.4292i −0.302172 0.430092i
\(589\) 24.9143 + 11.3780i 1.02657 + 0.468821i
\(590\) 1.28425 10.4594i 0.0528716 0.430607i
\(591\) 19.9156 5.84775i 0.819218 0.240544i
\(592\) 2.24845 + 27.1892i 0.0924108 + 1.11747i
\(593\) −5.50888 12.0628i −0.226223 0.495358i 0.762152 0.647398i \(-0.224143\pi\)
−0.988374 + 0.152040i \(0.951416\pi\)
\(594\) 1.33134 0.894931i 0.0546255 0.0367194i
\(595\) −0.702653 1.09335i −0.0288060 0.0448230i
\(596\) −34.2514 + 6.37628i −1.40299 + 0.261182i
\(597\) 2.16443i 0.0885843i
\(598\) 27.0664 34.1331i 1.10683 1.39581i
\(599\) −22.7159 −0.928148 −0.464074 0.885797i \(-0.653613\pi\)
−0.464074 + 0.885797i \(0.653613\pi\)
\(600\) 7.04351 + 9.59811i 0.287550 + 0.391841i
\(601\) 36.7366 23.6092i 1.49852 0.963038i 0.503429 0.864036i \(-0.332071\pi\)
0.995087 0.0990016i \(-0.0315649\pi\)
\(602\) −2.47781 3.68610i −0.100988 0.150234i
\(603\) 11.1046 5.07131i 0.452215 0.206520i
\(604\) 2.99058 + 3.17655i 0.121685 + 0.129252i
\(605\) 2.43363 + 8.28818i 0.0989411 + 0.336963i
\(606\) −1.47686 + 12.0281i −0.0599932 + 0.488607i
\(607\) −1.62460 + 3.55738i −0.0659406 + 0.144390i −0.939733 0.341910i \(-0.888926\pi\)
0.873792 + 0.486299i \(0.161654\pi\)
\(608\) −14.5408 35.5018i −0.589705 1.43979i
\(609\) −0.513737 0.592884i −0.0208177 0.0240249i
\(610\) −3.99131 + 9.23947i −0.161603 + 0.374095i
\(611\) 23.0701 78.5696i 0.933317 3.17859i
\(612\) 1.67050 + 3.29143i 0.0675259 + 0.133048i
\(613\) −15.2816 + 23.7786i −0.617218 + 0.960409i 0.382123 + 0.924111i \(0.375193\pi\)
−0.999341 + 0.0362980i \(0.988443\pi\)
\(614\) −25.6886 + 23.2040i −1.03671 + 0.936438i
\(615\) −0.0449654 + 0.312741i −0.00181318 + 0.0126109i
\(616\) −2.48758 + 0.516393i −0.100228 + 0.0208061i
\(617\) 3.75600 + 26.1236i 0.151211 + 1.05169i 0.914194 + 0.405277i \(0.132825\pi\)
−0.762983 + 0.646418i \(0.776266\pi\)
\(618\) 6.05875 9.86940i 0.243718 0.397006i
\(619\) 10.8483 + 9.40011i 0.436030 + 0.377822i 0.845036 0.534710i \(-0.179579\pi\)
−0.409006 + 0.912532i \(0.634124\pi\)
\(620\) 5.61799 + 4.47603i 0.225624 + 0.179762i
\(621\) 4.79457 0.109978i 0.192399 0.00441326i
\(622\) −4.71961 9.79467i −0.189239 0.392730i
\(623\) 0.697060 0.804450i 0.0279271 0.0322296i
\(624\) 18.3674 + 17.9638i 0.735283 + 0.719126i
\(625\) −1.95862 13.6225i −0.0783446 0.544899i
\(626\) 20.9238 25.1784i 0.836282 1.00633i
\(627\) 7.61455 + 1.09481i 0.304096 + 0.0437224i
\(628\) 8.27212 + 3.37272i 0.330094 + 0.134586i
\(629\) 6.80532 10.5893i 0.271346 0.422223i
\(630\) −0.0205415 0.995706i −0.000818395 0.0396699i
\(631\) 42.4512 + 12.4648i 1.68995 + 0.496215i 0.978453 0.206469i \(-0.0661973\pi\)
0.711501 + 0.702685i \(0.248016\pi\)
\(632\) −9.61766 18.0191i −0.382570 0.716761i
\(633\) −7.40605 8.54704i −0.294364 0.339714i
\(634\) −29.2528 + 4.82372i −1.16178 + 0.191574i
\(635\) −7.68874 3.51133i −0.305118 0.139343i
\(636\) 18.1879 6.16595i 0.721199 0.244496i
\(637\) 11.5321 + 39.2746i 0.456917 + 1.55612i
\(638\) 1.51529 0.479091i 0.0599907 0.0189674i
\(639\) 1.18451 + 2.59371i 0.0468583 + 0.102605i
\(640\) −1.44772 9.95662i −0.0572260 0.393570i
\(641\) 35.1135 22.5661i 1.38690 0.891307i 0.387370 0.921925i \(-0.373384\pi\)
0.999531 + 0.0306176i \(0.00974740\pi\)
\(642\) 14.9999 + 4.07027i 0.592000 + 0.160641i
\(643\) 11.6049i 0.457653i −0.973467 0.228827i \(-0.926511\pi\)
0.973467 0.228827i \(-0.0734889\pi\)
\(644\) −7.09721 2.70558i −0.279669 0.106615i
\(645\) 3.52700i 0.138875i
\(646\) −4.63550 + 17.0829i −0.182381 + 0.672119i
\(647\) −5.04091 + 3.23960i −0.198179 + 0.127362i −0.635967 0.771717i \(-0.719398\pi\)
0.437788 + 0.899078i \(0.355762\pi\)
\(648\) −0.228621 + 2.81917i −0.00898109 + 0.110748i
\(649\) 3.94829 + 8.64555i 0.154984 + 0.339368i
\(650\) −11.5258 36.4544i −0.452081 1.42986i
\(651\) 0.901004 + 3.06854i 0.0353131 + 0.120265i
\(652\) −11.3037 33.3430i −0.442688 1.30581i
\(653\) 10.4282 + 4.76240i 0.408087 + 0.186367i 0.608872 0.793268i \(-0.291622\pi\)
−0.200786 + 0.979635i \(0.564349\pi\)
\(654\) 4.28182 + 25.9665i 0.167432 + 1.01537i
\(655\) 3.35104 + 3.86731i 0.130936 + 0.151108i
\(656\) −0.838969 + 1.14708i −0.0327563 + 0.0447858i
\(657\) −3.18243 0.934447i −0.124159 0.0364562i
\(658\) −14.2746 + 0.294487i −0.556481 + 0.0114803i
\(659\) −0.721176 + 1.12217i −0.0280930 + 0.0437136i −0.855016 0.518602i \(-0.826453\pi\)
0.826923 + 0.562315i \(0.190089\pi\)
\(660\) 1.86820 + 0.761702i 0.0727194 + 0.0296492i
\(661\) −25.0443 3.60083i −0.974111 0.140056i −0.363162 0.931726i \(-0.618303\pi\)
−0.610949 + 0.791670i \(0.709212\pi\)
\(662\) 24.6142 + 20.4549i 0.956657 + 0.795000i
\(663\) −1.68696 11.7331i −0.0655160 0.455674i
\(664\) −12.4196 34.2915i −0.481972 1.33077i
\(665\) 3.12759 3.60943i 0.121283 0.139968i
\(666\) 8.68948 4.18706i 0.336710 0.162245i
\(667\) 4.58818 + 1.23366i 0.177655 + 0.0477674i
\(668\) −1.92276 + 2.41332i −0.0743939 + 0.0933740i
\(669\) −13.2775 11.5050i −0.513337 0.444809i
\(670\) 13.0845 + 8.03247i 0.505498 + 0.310321i
\(671\) −1.29188 8.98522i −0.0498725 0.346871i
\(672\) 2.02098 3.99774i 0.0779611 0.154216i
\(673\) −6.54254 + 45.5044i −0.252196 + 1.75406i 0.332771 + 0.943008i \(0.392016\pi\)
−0.584967 + 0.811057i \(0.698893\pi\)
\(674\) −9.30631 10.3028i −0.358466 0.396848i
\(675\) 2.27563 3.54095i 0.0875891 0.136291i
\(676\) −25.5738 50.3888i −0.983609 1.93803i
\(677\) −0.231590 + 0.788723i −0.00890073 + 0.0303131i −0.963824 0.266541i \(-0.914119\pi\)
0.954923 + 0.296854i \(0.0959375\pi\)
\(678\) 20.7731 + 8.97366i 0.797786 + 0.344631i
\(679\) −4.00295 4.61965i −0.153619 0.177286i
\(680\) −2.26342 + 4.05295i −0.0867982 + 0.155424i
\(681\) −3.31083 + 7.24970i −0.126871 + 0.277809i
\(682\) −6.43032 0.789540i −0.246229 0.0302330i
\(683\) 4.81528 + 16.3993i 0.184252 + 0.627503i 0.998871 + 0.0475073i \(0.0151277\pi\)
−0.814619 + 0.579996i \(0.803054\pi\)
\(684\) −9.87579 + 9.29762i −0.377610 + 0.355503i
\(685\) −5.52159 + 2.52163i −0.210969 + 0.0963464i
\(686\) 12.4291 8.35485i 0.474544 0.318990i
\(687\) −8.00587 + 5.14506i −0.305443 + 0.196296i
\(688\) −7.44771 + 14.0072i −0.283941 + 0.534019i
\(689\) −61.6748 −2.34962
\(690\) 3.47877 + 4.92725i 0.132435 + 0.187577i
\(691\) 10.3711i 0.394536i −0.980350 0.197268i \(-0.936793\pi\)
0.980350 0.197268i \(-0.0632070\pi\)
\(692\) −1.09148 + 0.203191i −0.0414918 + 0.00772415i
\(693\) 0.485627 + 0.755651i 0.0184475 + 0.0287048i
\(694\) 15.1289 + 22.5064i 0.574285 + 0.854332i
\(695\) −1.09035 2.38753i −0.0413592 0.0905640i
\(696\) −1.00417 + 2.61596i −0.0380628 + 0.0991575i
\(697\) 0.629135 0.184731i 0.0238302 0.00699717i
\(698\) 0.0411146 + 0.00504821i 0.00155621 + 0.000191078i
\(699\) 22.1122 + 10.0983i 0.836361 + 0.381953i
\(700\) −5.45460 + 3.83227i −0.206164 + 0.144846i
\(701\) −11.0751 + 9.59667i −0.418303 + 0.362461i −0.838435 0.545002i \(-0.816529\pi\)
0.420132 + 0.907463i \(0.361984\pi\)
\(702\) 3.60213 8.33857i 0.135954 0.314719i
\(703\) 44.3823 + 13.0318i 1.67391 + 0.491504i
\(704\) 5.81095 + 6.96997i 0.219008 + 0.262691i
\(705\) 9.53804 + 6.12973i 0.359223 + 0.230859i
\(706\) 12.5814 + 13.9285i 0.473507 + 0.524207i
\(707\) −6.71655 0.965694i −0.252602 0.0363187i
\(708\) −16.2602 4.05410i −0.611095 0.152362i
\(709\) 35.2292 5.06520i 1.32306 0.190227i 0.555668 0.831405i \(-0.312463\pi\)
0.767393 + 0.641177i \(0.221554\pi\)
\(710\) −1.87615 + 3.05615i −0.0704105 + 0.114695i
\(711\) −4.72900 + 5.45756i −0.177351 + 0.204674i
\(712\) −3.70721 0.843488i −0.138934 0.0316110i
\(713\) −14.9247 12.3446i −0.558935 0.462310i
\(714\) −1.86191 + 0.897171i −0.0696803 + 0.0335758i
\(715\) −4.89660 4.24292i −0.183122 0.158676i
\(716\) 31.0264 + 3.16146i 1.15951 + 0.118149i
\(717\) −30.3969 + 4.37041i −1.13519 + 0.163216i
\(718\) 9.57647 11.5238i 0.357391 0.430063i
\(719\) −4.52051 + 31.4409i −0.168587 + 1.17255i 0.713222 + 0.700938i \(0.247235\pi\)
−0.881808 + 0.471608i \(0.843674\pi\)
\(720\) −3.10296 + 1.73937i −0.115641 + 0.0648224i
\(721\) 5.45515 + 3.50581i 0.203160 + 0.130563i
\(722\) −38.1675 + 0.787400i −1.42045 + 0.0293040i
\(723\) 5.37039 18.2899i 0.199727 0.680207i
\(724\) −0.111775 2.70787i −0.00415408 0.100637i
\(725\) 3.15141 2.73071i 0.117040 0.101416i
\(726\) 13.5537 2.23497i 0.503024 0.0829474i
\(727\) 7.98819 17.4917i 0.296266 0.648731i −0.701701 0.712472i \(-0.747576\pi\)
0.997967 + 0.0637405i \(0.0203030\pi\)
\(728\) −10.2687 + 10.0750i −0.380582 + 0.373405i
\(729\) 0.959493 0.281733i 0.0355368 0.0104345i
\(730\) −1.25752 3.97734i −0.0465430 0.147208i
\(731\) 6.65801 3.04061i 0.246255 0.112461i
\(732\) 13.8100 + 8.09049i 0.510433 + 0.299033i
\(733\) −6.20442 9.65426i −0.229165 0.356588i 0.707560 0.706653i \(-0.249796\pi\)
−0.936725 + 0.350065i \(0.886160\pi\)
\(734\) 19.8468 + 5.38549i 0.732560 + 0.198782i
\(735\) −5.66747 −0.209048
\(736\) 3.41114 + 26.9140i 0.125736 + 0.992064i
\(737\) −13.8476 −0.510081
\(738\) 0.484915 + 0.131583i 0.0178500 + 0.00484363i
\(739\) 8.02780 + 12.4915i 0.295307 + 0.459507i 0.956925 0.290334i \(-0.0937663\pi\)
−0.661618 + 0.749841i \(0.730130\pi\)
\(740\) 10.4670 + 6.13204i 0.384776 + 0.225418i
\(741\) 39.6231 18.0952i 1.45559 0.664745i
\(742\) 3.24179 + 10.2533i 0.119010 + 0.376409i
\(743\) −37.2247 + 10.9302i −1.36564 + 0.400989i −0.880749 0.473584i \(-0.842960\pi\)
−0.484894 + 0.874573i \(0.661142\pi\)
\(744\) 8.15371 7.99996i 0.298930 0.293293i
\(745\) −6.43545 + 14.0917i −0.235777 + 0.516279i
\(746\) −26.9044 + 4.43647i −0.985040 + 0.162431i
\(747\) −9.74503 + 8.44412i −0.356552 + 0.308954i
\(748\) −0.172678 4.18330i −0.00631372 0.152957i
\(749\) −2.45187 + 8.35031i −0.0895895 + 0.305114i
\(750\) 11.5795 0.238888i 0.422825 0.00872294i
\(751\) 10.1777 + 6.54080i 0.371389 + 0.238677i 0.713000 0.701164i \(-0.247336\pi\)
−0.341611 + 0.939842i \(0.610972\pi\)
\(752\) 24.9358 + 44.4845i 0.909316 + 1.62218i
\(753\) −4.07222 + 28.3229i −0.148400 + 1.03214i
\(754\) 5.75136 6.92085i 0.209452 0.252042i
\(755\) 1.92018 0.276080i 0.0698825 0.0100476i
\(756\) −1.57560 0.160547i −0.0573040 0.00583903i
\(757\) −37.3684 32.3799i −1.35818 1.17687i −0.966470 0.256780i \(-0.917338\pi\)
−0.391710 0.920089i \(-0.628116\pi\)
\(758\) 32.9814 15.8923i 1.19794 0.577233i
\(759\) −4.99893 2.14579i −0.181450 0.0778872i
\(760\) −16.6336 3.78458i −0.603365 0.137281i
\(761\) 17.1963 19.8456i 0.623367 0.719403i −0.352976 0.935632i \(-0.614830\pi\)
0.976343 + 0.216229i \(0.0693757\pi\)
\(762\) −7.03236 + 11.4554i −0.254755 + 0.414984i
\(763\) −14.5861 + 2.09717i −0.528053 + 0.0759226i
\(764\) −23.3973 5.83358i −0.846486 0.211052i
\(765\) 1.62454 + 0.233574i 0.0587354 + 0.00844487i
\(766\) 8.29110 + 9.17886i 0.299570 + 0.331646i
\(767\) 45.2740 + 29.0958i 1.63475 + 1.05059i
\(768\) −15.9961 + 0.355458i −0.577208 + 0.0128265i
\(769\) 34.3365 + 10.0821i 1.23820 + 0.363570i 0.834341 0.551249i \(-0.185849\pi\)
0.403864 + 0.914819i \(0.367667\pi\)
\(770\) −0.447995 + 1.03706i −0.0161446 + 0.0373732i
\(771\) 14.1629 12.2722i 0.510063 0.441972i
\(772\) −21.5459 + 15.1376i −0.775452 + 0.544815i
\(773\) 29.5560 + 13.4978i 1.06305 + 0.485480i 0.868642