Properties

Label 552.2.bb.a.13.5
Level $552$
Weight $2$
Character 552.13
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 13.5
Character \(\chi\) \(=\) 552.13
Dual form 552.2.bb.a.85.5

$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{7}{11}\right)\) \(1\) \(-1\) \(1\)

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 0.588003 0.808859i \(-0.299914\pi\)
−0.226235 + 0.974073i \(0.572642\pi\)
\(6\) −0.426333 + 1.34842i −0.174050 + 0.550491i
\(7\) 0.759802 + 0.223098i 0.287178 + 0.0843231i 0.422149 0.906526i \(-0.361276\pi\)
−0.134971 + 0.990850i \(0.543094\pi\)
\(8\) −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 0.774452 0.632633i \(-0.218026\pi\)
−0.515978 + 0.856602i \(0.672571\pi\)
\(12\) 0.0824854 1.99830i 0.0238115 0.576859i
\(13\) 1.80954 + 6.16272i 0.501876 + 1.70923i 0.687125 + 0.726539i \(0.258873\pi\)
−0.185249 + 0.982692i \(0.559309\pi\)
\(14\) −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 0.996564 + 0.0828217i \(0.0263932\pi\)
−0.932863 + 0.360231i \(0.882698\pi\)
\(18\) 0.903871 + 1.08767i 0.213045 + 0.256365i
\(19\) 6.71287 + 0.965165i 1.54004 + 0.221424i 0.859442 0.511234i \(-0.170811\pi\)
0.680597 + 0.732658i \(0.261720\pi\)
\(20\) 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 −0.232758 0.972535i \(-0.574775\pi\)
0.0506654 + 0.998716i \(0.483866\pi\)
\(30\) −0.843025 + 0.933290i −0.153915 + 0.170395i
\(31\) 3.39749 2.18343i 0.610207 0.392156i −0.198728 0.980055i \(-0.563681\pi\)
0.808935 + 0.587899i \(0.200045\pi\)
\(32\) −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 0.165990 0.986127i \(-0.446918\pi\)
0.853966 + 0.520329i \(0.174191\pi\)
\(38\) −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 −0.897757 0.440491i \(-0.854804\pi\)
0.920807 + 0.390019i \(0.127532\pi\)
\(42\) −0.624759 + 0.929419i −0.0964024 + 0.143413i
\(43\) 2.14419 3.33643i 0.326986 0.508801i −0.638372 0.769728i \(-0.720392\pi\)
0.965359 + 0.260927i \(0.0840282\pi\)
\(44\) 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 0.535462 + 0.844559i \(0.320138\pi\)
−0.907062 + 0.420996i \(0.861681\pi\)
\(54\) 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 −0.957872 0.287195i \(-0.907277\pi\)
0.650544 0.759469i \(-0.274541\pi\)
\(60\) 0.804957 1.58603i 0.103920 0.204755i
\(61\) 4.32658 + 6.73229i 0.553962 + 0.861982i 0.999445 0.0333085i \(-0.0106044\pi\)
−0.445483 + 0.895290i \(0.646968\pi\)
\(62\) −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 −0.999885 0.0151969i \(-0.995162\pi\)
−0.127256 + 0.991870i \(0.540617\pi\)
\(68\) 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 0.855655 0.517547i \(-0.173155\pi\)
−0.634052 + 0.773290i \(0.718609\pi\)
\(72\) 2.65938 + 0.963165i 0.313411 + 0.113510i
\(73\) 0.472028 3.28303i 0.0552467 0.384249i −0.943373 0.331733i \(-0.892367\pi\)
0.998620 0.0525163i \(-0.0167241\pi\)
\(74\) −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 0.132341 0.991204i \(-0.457751\pi\)
0.647218 + 0.762305i \(0.275933\pi\)
\(80\) 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 0.350223 0.936667i \(-0.386106\pi\)
0.937232 + 0.348706i \(0.113379\pi\)
\(84\) 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 0.599200 0.800600i \(-0.295485\pi\)
−0.479334 + 0.877632i \(0.659122\pi\)
\(90\) 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 −0.999669 0.0257186i \(-0.991813\pi\)
0.674081 + 0.738657i \(0.264540\pi\)
\(98\) 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 −0.763570 0.645725i \(-0.776555\pi\)
−0.0120259 + 0.999928i \(0.503828\pi\)
\(102\) −2.57521 0.424646i −0.254984 0.0420462i
\(103\) 5.36254 6.18870i 0.528386 0.609790i −0.427324 0.904098i \(-0.640544\pi\)
0.955711 + 0.294308i \(0.0950892\pi\)
\(104\) −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 0.425531 0.904944i \(-0.360087\pi\)
−0.999938 + 0.0111498i \(0.996451\pi\)
\(108\) −1.85198 + 0.755092i −0.178207 + 0.0726587i
\(109\) −18.4196 + 2.64835i −1.76428 + 0.253666i −0.946693 0.322136i \(-0.895599\pi\)
−0.817589 + 0.575802i \(0.804690\pi\)
\(110\) −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 −0.990490 0.137584i \(-0.956066\pi\)
0.00477784 0.999989i \(-0.498479\pi\)
\(114\) −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 −0.961421 0.275082i \(-0.911295\pi\)
0.409106 + 0.912487i \(0.365841\pi\)
\(128\) 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 −0.857865 0.513875i \(-0.828210\pi\)
0.999504 + 0.0314977i \(0.0100277\pi\)
\(132\) 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 \(0.0399471\pi\)
−0.992135 + 0.125169i \(0.960053\pi\)
\(140\) 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 −0.0804645 0.996757i \(-0.525640\pi\)
−0.998063 + 0.0622079i \(0.980186\pi\)
\(150\) 5.46455 2.36060i 0.446178 0.192742i
\(151\) 2.09304 0.614571i 0.170329 0.0500131i −0.195456 0.980712i \(-0.562619\pi\)
0.365785 + 0.930699i \(0.380801\pi\)
\(152\) −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 0.316460 0.948606i \(-0.397506\pi\)
0.0363878 + 0.999338i \(0.488415\pi\)
\(158\) −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 −0.995383 0.0959813i \(-0.969401\pi\)
−0.0466534 + 0.998911i \(0.514856\pi\)
\(164\) −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 0.979561 0.201147i \(-0.0644668\pi\)
−0.996552 + 0.0829754i \(0.973558\pi\)
\(168\) −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 0.638767 0.769400i \(-0.279445\pi\)
−0.670663 + 0.741762i \(0.733990\pi\)
\(174\) 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 0.867680 0.497123i \(-0.165610\pi\)
0.192510 + 0.981295i \(0.438337\pi\)
\(180\) −0.899060 1.53464i −0.0670119 0.114386i
\(181\) −0.732616 + 1.13997i −0.0544549 + 0.0847335i −0.867413 0.497588i \(-0.834219\pi\)
0.812959 + 0.582322i \(0.197856\pi\)
\(182\) −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 −0.165014 0.986291i \(-0.552767\pi\)
−0.672048 + 0.740508i \(0.734585\pi\)
\(192\) −6.81114 4.19623i −0.491552 0.302837i
\(193\) −5.46934 11.9762i −0.393692 0.862065i −0.997871 0.0652166i \(-0.979226\pi\)
0.604179 0.796848i \(-0.293501\pi\)
\(194\) 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 0.854295 + 0.519788i \(0.173989\pi\)
−0.437661 + 0.899140i \(0.644193\pi\)
\(198\) −0.0330872 + 1.60383i −0.00235141 + 0.113979i
\(199\) −1.82084 + 1.17018i −0.129076 + 0.0829519i −0.603585 0.797298i \(-0.706262\pi\)
0.474510 + 0.880250i \(0.342625\pi\)
\(200\) 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 −0.254233 0.967143i \(-0.581823\pi\)
−0.516410 + 0.856341i \(0.672732\pi\)
\(212\) 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 −0.336580 0.941655i \(-0.609270\pi\)
−0.792246 + 0.610201i \(0.791089\pi\)
\(224\) −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 −0.668300 0.743892i \(-0.732978\pi\)
0.954290 + 0.298883i \(0.0966142\pi\)
\(228\) 2.48240 13.3347i 0.164401 0.883113i
\(229\) 9.51660i 0.628875i −0.949278 0.314437i \(-0.898184\pi\)
0.949278 0.314437i \(-0.101816\pi\)
\(230\) 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 0.996921 0.0784178i \(-0.0249868\pi\)
0.342804 + 0.939407i \(0.388623\pi\)
\(234\) −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 −0.518379 0.855151i \(-0.673464\pi\)
−0.306814 0.951770i \(-0.599263\pi\)
\(240\) −0.214338 3.55075i −0.0138354 0.229200i
\(241\) −12.4830 + 14.4061i −0.804098 + 0.927978i −0.998599 0.0529241i \(-0.983146\pi\)
0.194501 + 0.980902i \(0.437691\pi\)
\(242\) 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 0.401202 0.915989i \(-0.368592\pi\)
0.963763 0.266760i \(-0.0859530\pi\)
\(252\) −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 0.719961 + 0.694015i \(0.244160\pi\)
−0.886324 + 0.463066i \(0.846749\pi\)
\(258\) 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 −0.00431259 0.999991i \(-0.501373\pi\)
0.537008 + 0.843577i \(0.319555\pi\)
\(264\) −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 −0.973611 0.228213i \(-0.926712\pi\)
0.942435 + 0.334389i \(0.108530\pi\)
\(270\) 1.19916 + 0.379139i 0.0729783 + 0.0230737i
\(271\) −7.75032 + 16.9708i −0.470799 + 1.03090i 0.514093 + 0.857734i \(0.328129\pi\)
−0.984892 + 0.173171i \(0.944599\pi\)
\(272\) 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 \(0.0562506\pi\)
−0.984426 + 0.175798i \(0.943749\pi\)
\(278\) −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 −0.840938 0.541132i \(-0.817996\pi\)
0.959657 + 0.281172i \(0.0907233\pi\)
\(282\) −5.43539 + 17.1913i −0.323673 + 1.02372i
\(283\) 6.29052 21.4235i 0.373932 1.27350i −0.530793 0.847502i \(-0.678106\pi\)
0.904725 0.425995i \(-0.140076\pi\)
\(284\) 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 −0.340014 0.940420i \(-0.610432\pi\)
−0.0612941 + 0.998120i \(0.519523\pi\)
\(294\) 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 0.979644 + 0.200744i \(0.0643360\pi\)
−0.224355 + 0.974507i \(0.572028\pi\)
\(308\) 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 −0.594836 0.803847i \(-0.702783\pi\)
0.880319 + 0.474382i \(0.157328\pi\)
\(312\) −15.8609 + 8.85773i −0.897948 + 0.501470i
\(313\) −9.61647 21.0571i −0.543555 1.19022i −0.959727 0.280934i \(-0.909356\pi\)
0.416172 0.909286i \(-0.363371\pi\)
\(314\) −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 0.871322 0.490712i \(-0.163263\pi\)
0.199739 + 0.979849i \(0.435990\pi\)
\(318\) −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 −0.891031 0.453942i \(-0.850017\pi\)
−0.240435 + 0.970665i \(0.577290\pi\)
\(332\) 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 −0.296014 0.955184i \(-0.595658\pi\)
0.745897 + 0.666062i \(0.232021\pi\)
\(338\) 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 −0.950444 0.310895i \(-0.899371\pi\)
0.172468 + 0.985015i \(0.444826\pi\)
\(348\) 0.200852 + 1.97115i 0.0107668 + 0.105665i
\(349\) −0.0289926 0.00416851i −0.00155194 0.000223135i 0.141539 0.989933i \(-0.454795\pi\)
−0.143091 + 0.989710i \(0.545704\pi\)
\(350\) 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 −0.802926 0.596079i \(-0.796725\pi\)
0.208665 + 0.977987i \(0.433088\pi\)
\(354\) 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 0.757209 0.653172i \(-0.226562\pi\)
−0.989501 + 0.144524i \(0.953835\pi\)
\(360\) 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 0.814021 0.580836i \(-0.197274\pi\)
0.0941036 + 0.995562i \(0.470001\pi\)
\(374\) 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 −0.0133331 0.999911i \(-0.504244\pi\)
−0.991631 + 0.129105i \(0.958790\pi\)
\(380\) 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 −0.714954 0.699172i \(-0.753552\pi\)
0.338987 + 0.940791i \(0.389916\pi\)
\(384\) 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 −0.769000 0.639249i \(-0.779245\pi\)
0.523302 + 0.852147i \(0.324700\pi\)
\(390\) −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 −0.308274 0.951298i \(-0.599751\pi\)
−0.0277750 + 0.999614i \(0.508842\pi\)
\(398\) 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 0.723648 0.690169i \(-0.242464\pi\)
0.981905 + 0.189373i \(0.0606455\pi\)
\(402\) −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 −0.342161 0.939641i \(-0.611159\pi\)
0.934202 0.356746i \(-0.116114\pi\)
\(410\) −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 0.551470 0.834195i \(-0.314067\pi\)
−0.269306 + 0.963055i \(0.586794\pi\)
\(420\) 0.965448 1.02548i 0.0471090 0.0500385i
\(421\) 5.82648 19.8432i 0.283965 0.967097i −0.686756 0.726888i \(-0.740966\pi\)
0.970721 0.240209i \(-0.0772159\pi\)
\(422\) 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 −0.956665 0.291189i \(-0.905949\pi\)
0.835876 0.548918i \(-0.184960\pi\)
\(432\) −2.43253 + 3.17534i −0.117035 + 0.152774i
\(433\) −3.23304 + 22.4863i −0.155370 + 1.08062i 0.751659 + 0.659552i \(0.229254\pi\)
−0.907029 + 0.421069i \(0.861655\pi\)
\(434\) −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 0.548189 0.836355i \(-0.315317\pi\)
−0.905857 + 0.423583i \(0.860772\pi\)
\(440\) −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 0.270737 0.962653i \(-0.412733\pi\)
0.530981 + 0.847384i \(0.321823\pi\)
\(444\) −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 0.0461132 0.998936i \(-0.485316\pi\)
0.982206 0.187807i \(-0.0601380\pi\)
\(450\) 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 −0.0239134 0.999714i \(-0.507613\pi\)
−0.919306 + 0.393544i \(0.871249\pi\)
\(458\) 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 \(0.00553052\pi\)
−0.999849 + 0.0173738i \(0.994469\pi\)
\(462\) −1.22597 + 0.332671i −0.0570375 + 0.0154773i
\(463\) −18.4416 11.8517i −0.857054 0.550795i 0.0367138 0.999326i \(-0.488311\pi\)
−0.893767 + 0.448531i \(0.851947\pi\)
\(464\) −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 −0.999987 0.00511143i \(-0.998373\pi\)
0.844006 + 0.536334i \(0.180191\pi\)
\(468\) 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 −0.998480 0.0551231i \(-0.982445\pi\)
0.973564 + 0.228414i \(0.0733540\pi\)
\(480\) 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 −0.968057 0.250731i \(-0.919329\pi\)
0.999483 + 0.0321582i \(0.0102380\pi\)
\(488\) −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 0.839674 0.543091i \(-0.182746\pi\)
−0.842826 + 0.538186i \(0.819110\pi\)
\(492\) −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 −0.999009 0.0445063i \(-0.985829\pi\)
0.864482 + 0.502664i \(0.167647\pi\)
\(500\) −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 0.128493 0.991710i \(-0.458986\pi\)
−0.848714 + 0.528852i \(0.822623\pi\)
\(504\) 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 0.0725734 + 0.997363i \(0.476879\pi\)
−0.937381 + 0.348305i \(0.886758\pi\)
\(510\) −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 −0.183529 0.983014i \(-0.558752\pi\)
0.817940 + 0.575303i \(0.195116\pi\)
\(522\) −1.03968 0.939125i −0.0455056 0.0411044i
\(523\) 17.7935 2.55832i 0.778054 0.111867i 0.258165 0.966101i \(-0.416882\pi\)
0.519889 + 0.854234i \(0.325973\pi\)
\(524\) −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 0.840283 0.542147i \(-0.182389\pi\)
−0.417044 + 0.908886i \(0.636934\pi\)
\(542\) 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 0.534151 0.845389i \(-0.320632\pi\)
−0.289108 + 0.957296i \(0.593359\pi\)
\(548\) −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 0.563962 0.825801i \(-0.309276\pi\)
−0.254782 + 0.966999i \(0.582004\pi\)
\(558\) 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 0.332877 0.942970i \(-0.391981\pi\)
−0.885999 + 0.463687i \(0.846526\pi\)
\(564\) 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 0.999420 + 0.0340667i \(0.0108459\pi\)
−0.949338 + 0.314256i \(0.898245\pi\)
\(570\) −6.55990 + 5.45140i −0.274764 + 0.228334i
\(571\) −41.6652 5.99056i −1.74364 0.250697i −0.804429 0.594049i \(-0.797529\pi\)
−0.939207 + 0.343352i \(0.888438\pi\)
\(572\) 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 0.883231 0.468938i \(-0.155363\pi\)
−0.589862 + 0.807504i \(0.700818\pi\)
\(578\) −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 0.790088 0.612994i \(-0.210035\pi\)
−0.494313 + 0.869284i \(0.664580\pi\)
\(588\) −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 −0.988374 0.152040i \(-0.951416\pi\)
0.762152 + 0.647398i \(0.224143\pi\)
\(594\) 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 0.995087 + 0.0990016i \(0.0315649\pi\)
0.503429 + 0.864036i \(0.332071\pi\)
\(602\) −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 0.873792 0.486299i \(-0.161654\pi\)
−0.939733 + 0.341910i \(0.888926\pi\)
\(608\) −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 −0.999341 0.0362980i \(-0.988443\pi\)
0.382123 0.924111i \(-0.375193\pi\)
\(614\) −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 −0.762983 0.646418i \(-0.776266\pi\)
0.914194 0.405277i \(-0.132825\pi\)
\(618\) 6.05875 + 9.86940i 0.243718 + 0.397006i
\(619\) 10.8483 9.40011i 0.436030 0.377822i −0.409006 0.912532i \(-0.634124\pi\)
0.845036 + 0.534710i \(0.179579\pi\)
\(620\) 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 0.711501 0.702685i \(-0.248016\pi\)
0.978453 + 0.206469i \(0.0661973\pi\)
\(632\) −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 0.999531 0.0306176i \(-0.00974740\pi\)
0.387370 + 0.921925i \(0.373384\pi\)
\(642\) 14.9999 4.07027i 0.592000 0.160641i
\(643\) 11.6049i 0.457653i 0.973467 + 0.228827i \(0.0734889\pi\)
−0.973467 + 0.228827i \(0.926511\pi\)
\(644\) −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 0.437788 0.899078i \(-0.355762\pi\)
−0.635967 + 0.771717i \(0.719398\pi\)
\(648\) −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 −0.200786 0.979635i \(-0.564349\pi\)
0.608872 + 0.793268i \(0.291622\pi\)
\(654\) 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 0.826923 0.562315i \(-0.190089\pi\)
−0.855016 + 0.518602i \(0.826453\pi\)
\(660\) 1.86820 0.761702i 0.0727194 0.0296492i
\(661\) −25.0443 + 3.60083i −0.974111 + 0.140056i −0.610949 0.791670i \(-0.709212\pi\)
−0.363162 + 0.931726i \(0.618303\pi\)
\(662\) 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 −0.584967 0.811057i \(-0.698893\pi\)
0.332771 0.943008i \(-0.392016\pi\)
\(674\) −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 0.954923 0.296854i \(-0.0959375\pi\)
−0.963824 + 0.266541i \(0.914119\pi\)
\(678\) 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 −0.814619 0.579996i \(-0.803054\pi\)
0.998871 0.0475073i \(-0.0151277\pi\)
\(684\) −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 \(0.0632070\pi\)
−0.980350 + 0.197268i \(0.936793\pi\)
\(692\) −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 0.420132 0.907463i \(-0.361984\pi\)
−0.838435 + 0.545002i \(0.816529\pi\)
\(702\) 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 0.767393 0.641177i \(-0.221554\pi\)
0.555668 + 0.831405i \(0.312463\pi\)
\(710\) −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 −0.881808 0.471608i \(-0.843674\pi\)
0.713222 0.700938i \(-0.247235\pi\)
\(720\) −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 0.997967 0.0637405i \(-0.0203030\pi\)
−0.701701 + 0.712472i \(0.747576\pi\)
\(728\) −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 −0.936725 0.350065i \(-0.886160\pi\)
0.707560 + 0.706653i \(0.249796\pi\)
\(734\) 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 −0.661618 0.749841i \(-0.730130\pi\)
0.956925 + 0.290334i \(0.0937663\pi\)
\(740\) 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 −0.484894 0.874573i \(-0.661142\pi\)
−0.880749 + 0.473584i \(0.842960\pi\)
\(744\) 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 −0.341611 0.939842i \(-0.610972\pi\)
0.713000 + 0.701164i \(0.247336\pi\)
\(752\) 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 −0.391710 + 0.920089i \(0.628116\pi\)
−0.966470 + 0.256780i \(0.917338\pi\)
\(758\) 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 0.976343 0.216229i \(-0.0693757\pi\)
−0.352976 + 0.935632i \(0.614830\pi\)
\(762\) −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 0.403864 0.914819i \(-0.367667\pi\)
0.834341 + 0.551249i \(0.185849\pi\)
\(770\) −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 0.194412