Properties

Label 552.2.t.a.451.22
Level $552$
Weight $2$
Character 552.451
Analytic conductor $4.408$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 451.22
Character \(\chi\) \(=\) 552.451
Dual form 552.2.t.a.235.22

$q$-expansion

\(f(q)\) \(=\) \(q+(1.33194 + 0.475334i) q^{2} +(0.654861 + 0.755750i) q^{3} +(1.54812 + 1.26623i) q^{4} +(-0.462696 - 3.21812i) q^{5} +(0.513000 + 1.31789i) q^{6} +(1.43113 - 3.13375i) q^{7} +(1.46011 + 2.42241i) q^{8} +(-0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(q+(1.33194 + 0.475334i) q^{2} +(0.654861 + 0.755750i) q^{3} +(1.54812 + 1.26623i) q^{4} +(-0.462696 - 3.21812i) q^{5} +(0.513000 + 1.31789i) q^{6} +(1.43113 - 3.13375i) q^{7} +(1.46011 + 2.42241i) q^{8} +(-0.142315 + 0.989821i) q^{9} +(0.913400 - 4.50627i) q^{10} +(0.0298024 - 0.101497i) q^{11} +(0.0568468 + 1.99919i) q^{12} +(-0.610377 + 0.278750i) q^{13} +(3.39576 - 3.49369i) q^{14} +(2.12909 - 2.45710i) q^{15} +(0.793321 + 3.92054i) q^{16} +(0.598302 - 0.930977i) q^{17} +(-0.660050 + 1.25073i) q^{18} +(2.54616 + 3.96191i) q^{19} +(3.35858 - 5.56790i) q^{20} +(3.30552 - 0.970589i) q^{21} +(0.0879401 - 0.121022i) q^{22} +(-2.35594 - 4.17727i) q^{23} +(-0.874567 + 2.68982i) q^{24} +(-5.34475 + 1.56936i) q^{25} +(-0.945484 + 0.0811445i) q^{26} +(-0.841254 + 0.540641i) q^{27} +(6.18361 - 3.03926i) q^{28} +(-2.63576 + 4.10132i) q^{29} +(4.00376 - 2.26068i) q^{30} +(-0.0721183 - 0.0624909i) q^{31} +(-0.806912 + 5.59901i) q^{32} +(0.0962231 - 0.0439436i) q^{33} +(1.23943 - 0.955609i) q^{34} +(-10.7470 - 3.15559i) q^{35} +(-1.47366 + 1.35215i) q^{36} +(-0.960068 + 6.67742i) q^{37} +(1.50810 + 6.48730i) q^{38} +(-0.610377 - 0.278750i) q^{39} +(7.12003 - 5.81965i) q^{40} +(0.346577 + 2.41050i) q^{41} +(4.86410 + 0.278463i) q^{42} +(1.63464 - 1.41643i) q^{43} +(0.174657 - 0.119393i) q^{44} +3.25121 q^{45} +(-1.15236 - 6.68372i) q^{46} +8.18987i q^{47} +(-2.44343 + 3.16696i) q^{48} +(-3.18820 - 3.67938i) q^{49} +(-7.86485 - 0.450252i) q^{50} +(1.09539 - 0.157493i) q^{51} +(-1.29790 - 0.341341i) q^{52} +(-2.84234 + 6.22386i) q^{53} +(-1.37748 + 0.320223i) q^{54} +(-0.340421 - 0.0489451i) q^{55} +(9.68084 - 1.10882i) q^{56} +(-1.32683 + 4.51876i) q^{57} +(-5.46017 + 4.20984i) q^{58} +(-6.33745 - 13.8771i) q^{59} +(6.40734 - 1.10796i) q^{60} +(-3.23927 + 3.73831i) q^{61} +(-0.0663530 - 0.117514i) q^{62} +(2.89818 + 1.86255i) q^{63} +(-3.73616 + 7.07398i) q^{64} +(1.17947 + 1.83529i) q^{65} +(0.149051 - 0.0127920i) q^{66} +(3.45689 + 11.7731i) q^{67} +(2.10507 - 0.683670i) q^{68} +(1.61416 - 4.51603i) q^{69} +(-12.8143 - 9.31145i) q^{70} +(-2.59002 - 8.82078i) q^{71} +(-2.60555 + 1.10050i) q^{72} +(-1.31153 + 0.842871i) q^{73} +(-4.45276 + 8.43755i) q^{74} +(-4.68611 - 3.01158i) q^{75} +(-1.07493 + 9.35752i) q^{76} +(-0.275416 - 0.238650i) q^{77} +(-0.680485 - 0.661410i) q^{78} +(-5.50717 - 12.0590i) q^{79} +(12.2497 - 4.36702i) q^{80} +(-0.959493 - 0.281733i) q^{81} +(-0.684172 + 3.37537i) q^{82} +(-15.2686 - 2.19529i) q^{83} +(6.34632 + 2.68297i) q^{84} +(-3.27283 - 1.49465i) q^{85} +(2.85052 - 1.10959i) q^{86} +(-4.82563 + 0.693821i) q^{87} +(0.289383 - 0.0760040i) q^{88} +(11.9248 - 10.3329i) q^{89} +(4.33041 + 1.54541i) q^{90} +2.31170i q^{91} +(1.64212 - 9.45005i) q^{92} -0.0954262i q^{93} +(-3.89292 + 10.9084i) q^{94} +(11.5718 - 10.0270i) q^{95} +(-4.75986 + 3.05675i) q^{96} +(8.96312 - 1.28870i) q^{97} +(-2.49755 - 6.41616i) q^{98} +(0.0962231 + 0.0439436i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 24q^{3} - 4q^{4} + 11q^{6} - 24q^{9} + O(q^{10}) \) \( 240q + 24q^{3} - 4q^{4} + 11q^{6} - 24q^{9} + 4q^{12} - 4q^{16} + 44q^{17} - 55q^{20} - 24q^{25} + 24q^{27} + 33q^{34} + 7q^{36} - 132q^{38} + 11q^{40} - 66q^{42} + 77q^{44} + 37q^{48} - 56q^{49} - 37q^{50} - 55q^{52} - 11q^{54} + 132q^{56} + 37q^{58} + 11q^{60} + 51q^{62} - 4q^{64} - 55q^{66} - 132q^{70} + 144q^{73} + 44q^{74} + 24q^{75} - 55q^{76} - 198q^{80} - 24q^{81} - 26q^{82} + 44q^{84} - 110q^{86} + 22q^{88} - 139q^{92} - 117q^{94} - 209q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{21}{22}\right)\) \(1\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.33194 + 0.475334i 0.941822 + 0.336112i
\(3\) 0.654861 + 0.755750i 0.378084 + 0.436332i
\(4\) 1.54812 + 1.26623i 0.774058 + 0.633115i
\(5\) −0.462696 3.21812i −0.206924 1.43919i −0.783117 0.621874i \(-0.786371\pi\)
0.576193 0.817314i \(-0.304538\pi\)
\(6\) 0.513000 + 1.31789i 0.209431 + 0.538026i
\(7\) 1.43113 3.13375i 0.540918 1.18444i −0.419978 0.907534i \(-0.637962\pi\)
0.960896 0.276911i \(-0.0893106\pi\)
\(8\) 1.46011 + 2.42241i 0.516227 + 0.856452i
\(9\) −0.142315 + 0.989821i −0.0474383 + 0.329940i
\(10\) 0.913400 4.50627i 0.288843 1.42501i
\(11\) 0.0298024 0.101497i 0.00898575 0.0306026i −0.954878 0.296998i \(-0.904015\pi\)
0.963864 + 0.266395i \(0.0858327\pi\)
\(12\) 0.0568468 + 1.99919i 0.0164103 + 0.577117i
\(13\) −0.610377 + 0.278750i −0.169288 + 0.0773113i −0.498257 0.867030i \(-0.666026\pi\)
0.328969 + 0.944341i \(0.393299\pi\)
\(14\) 3.39576 3.49369i 0.907554 0.933727i
\(15\) 2.12909 2.45710i 0.549729 0.634421i
\(16\) 0.793321 + 3.92054i 0.198330 + 0.980135i
\(17\) 0.598302 0.930977i 0.145110 0.225795i −0.761089 0.648648i \(-0.775335\pi\)
0.906198 + 0.422853i \(0.138971\pi\)
\(18\) −0.660050 + 1.25073i −0.155575 + 0.294801i
\(19\) 2.54616 + 3.96191i 0.584130 + 0.908924i 1.00000 0.000499791i \(-0.000159088\pi\)
−0.415870 + 0.909424i \(0.636523\pi\)
\(20\) 3.35858 5.56790i 0.751001 1.24502i
\(21\) 3.30552 0.970589i 0.721324 0.211800i
\(22\) 0.0879401 0.121022i 0.0187489 0.0258020i
\(23\) −2.35594 4.17727i −0.491247 0.871020i
\(24\) −0.874567 + 2.68982i −0.178520 + 0.549057i
\(25\) −5.34475 + 1.56936i −1.06895 + 0.313872i
\(26\) −0.945484 + 0.0811445i −0.185425 + 0.0159137i
\(27\) −0.841254 + 0.540641i −0.161899 + 0.104046i
\(28\) 6.18361 3.03926i 1.16859 0.574365i
\(29\) −2.63576 + 4.10132i −0.489449 + 0.761597i −0.994858 0.101283i \(-0.967705\pi\)
0.505409 + 0.862880i \(0.331342\pi\)
\(30\) 4.00376 2.26068i 0.730984 0.412742i
\(31\) −0.0721183 0.0624909i −0.0129528 0.0112237i 0.648360 0.761334i \(-0.275455\pi\)
−0.661313 + 0.750110i \(0.730001\pi\)
\(32\) −0.806912 + 5.59901i −0.142643 + 0.989774i
\(33\) 0.0962231 0.0439436i 0.0167503 0.00764960i
\(34\) 1.23943 0.955609i 0.212560 0.163886i
\(35\) −10.7470 3.15559i −1.81657 0.533392i
\(36\) −1.47366 + 1.35215i −0.245610 + 0.225359i
\(37\) −0.960068 + 6.67742i −0.157834 + 1.09776i 0.744780 + 0.667310i \(0.232555\pi\)
−0.902614 + 0.430451i \(0.858355\pi\)
\(38\) 1.50810 + 6.48730i 0.244646 + 1.05238i
\(39\) −0.610377 0.278750i −0.0977386 0.0446357i
\(40\) 7.12003 5.81965i 1.12578 0.920168i
\(41\) 0.346577 + 2.41050i 0.0541262 + 0.376456i 0.998823 + 0.0485101i \(0.0154473\pi\)
−0.944696 + 0.327946i \(0.893644\pi\)
\(42\) 4.86410 + 0.278463i 0.750547 + 0.0429678i
\(43\) 1.63464 1.41643i 0.249281 0.216003i −0.521253 0.853402i \(-0.674535\pi\)
0.770534 + 0.637399i \(0.219990\pi\)
\(44\) 0.174657 0.119393i 0.0263305 0.0179992i
\(45\) 3.25121 0.484662
\(46\) −1.15236 6.68372i −0.169907 0.985460i
\(47\) 8.18987i 1.19462i 0.802012 + 0.597308i \(0.203763\pi\)
−0.802012 + 0.597308i \(0.796237\pi\)
\(48\) −2.44343 + 3.16696i −0.352679 + 0.457111i
\(49\) −3.18820 3.67938i −0.455457 0.525625i
\(50\) −7.86485 0.450252i −1.11226 0.0636752i
\(51\) 1.09539 0.157493i 0.153385 0.0220535i
\(52\) −1.29790 0.341341i −0.179986 0.0473355i
\(53\) −2.84234 + 6.22386i −0.390426 + 0.854913i 0.607726 + 0.794147i \(0.292082\pi\)
−0.998152 + 0.0607667i \(0.980645\pi\)
\(54\) −1.37748 + 0.320223i −0.187452 + 0.0435769i
\(55\) −0.340421 0.0489451i −0.0459023 0.00659976i
\(56\) 9.68084 1.10882i 1.29366 0.148172i
\(57\) −1.32683 + 4.51876i −0.175743 + 0.598525i
\(58\) −5.46017 + 4.20984i −0.716955 + 0.552779i
\(59\) −6.33745 13.8771i −0.825066 1.80664i −0.519493 0.854474i \(-0.673879\pi\)
−0.305573 0.952169i \(-0.598848\pi\)
\(60\) 6.40734 1.10796i 0.827184 0.143037i
\(61\) −3.23927 + 3.73831i −0.414746 + 0.478642i −0.924229 0.381838i \(-0.875291\pi\)
0.509483 + 0.860480i \(0.329837\pi\)
\(62\) −0.0663530 0.117514i −0.00842684 0.0149243i
\(63\) 2.89818 + 1.86255i 0.365136 + 0.234659i
\(64\) −3.73616 + 7.07398i −0.467019 + 0.884247i
\(65\) 1.17947 + 1.83529i 0.146295 + 0.227640i
\(66\) 0.149051 0.0127920i 0.0183469 0.00157459i
\(67\) 3.45689 + 11.7731i 0.422326 + 1.43831i 0.846334 + 0.532653i \(0.178805\pi\)
−0.424008 + 0.905659i \(0.639377\pi\)
\(68\) 2.10507 0.683670i 0.255277 0.0829072i
\(69\) 1.61416 4.51603i 0.194322 0.543666i
\(70\) −12.8143 9.31145i −1.53160 1.11293i
\(71\) −2.59002 8.82078i −0.307378 1.04683i −0.957842 0.287297i \(-0.907243\pi\)
0.650463 0.759538i \(-0.274575\pi\)
\(72\) −2.60555 + 1.10050i −0.307067 + 0.129696i
\(73\) −1.31153 + 0.842871i −0.153503 + 0.0986506i −0.615138 0.788420i \(-0.710900\pi\)
0.461634 + 0.887070i \(0.347263\pi\)
\(74\) −4.45276 + 8.43755i −0.517622 + 0.980846i
\(75\) −4.68611 3.01158i −0.541106 0.347748i
\(76\) −1.07493 + 9.35752i −0.123303 + 1.07338i
\(77\) −0.275416 0.238650i −0.0313866 0.0271966i
\(78\) −0.680485 0.661410i −0.0770497 0.0748900i
\(79\) −5.50717 12.0590i −0.619605 1.35675i −0.915806 0.401620i \(-0.868447\pi\)
0.296201 0.955126i \(-0.404280\pi\)
\(80\) 12.2497 4.36702i 1.36956 0.488248i
\(81\) −0.959493 0.281733i −0.106610 0.0313036i
\(82\) −0.684172 + 3.37537i −0.0755541 + 0.372747i
\(83\) −15.2686 2.19529i −1.67594 0.240964i −0.762224 0.647313i \(-0.775893\pi\)
−0.913718 + 0.406349i \(0.866802\pi\)
\(84\) 6.34632 + 2.68297i 0.692440 + 0.292736i
\(85\) −3.27283 1.49465i −0.354988 0.162118i
\(86\) 2.85052 1.10959i 0.307380 0.119650i
\(87\) −4.82563 + 0.693821i −0.517362 + 0.0743854i
\(88\) 0.289383 0.0760040i 0.0308484 0.00810205i
\(89\) 11.9248 10.3329i 1.26403 1.09529i 0.272945 0.962030i \(-0.412002\pi\)
0.991082 0.133256i \(-0.0425432\pi\)
\(90\) 4.33041 + 1.54541i 0.456466 + 0.162901i
\(91\) 2.31170i 0.242332i
\(92\) 1.64212 9.45005i 0.171203 0.985236i
\(93\) 0.0954262i 0.00989523i
\(94\) −3.89292 + 10.9084i −0.401524 + 1.12511i
\(95\) 11.5718 10.0270i 1.18724 1.02875i
\(96\) −4.75986 + 3.05675i −0.485801 + 0.311978i
\(97\) 8.96312 1.28870i 0.910067 0.130848i 0.328648 0.944452i \(-0.393407\pi\)
0.581419 + 0.813605i \(0.302498\pi\)
\(98\) −2.49755 6.41616i −0.252290 0.648130i
\(99\) 0.0962231 + 0.0439436i 0.00967078 + 0.00441650i
\(100\) −10.2615 4.33814i −1.02615 0.433814i
\(101\) 18.8396 + 2.70872i 1.87461 + 0.269528i 0.983045 0.183365i \(-0.0586990\pi\)
0.891565 + 0.452893i \(0.149608\pi\)
\(102\) 1.53385 + 0.310905i 0.151874 + 0.0307842i
\(103\) −0.453320 0.133107i −0.0446670 0.0131154i 0.259323 0.965791i \(-0.416501\pi\)
−0.303990 + 0.952675i \(0.598319\pi\)
\(104\) −1.56647 1.07158i −0.153605 0.105077i
\(105\) −4.65292 10.1885i −0.454079 0.994294i
\(106\) −6.74424 + 6.93874i −0.655058 + 0.673950i
\(107\) −4.64627 4.02601i −0.449172 0.389209i 0.400691 0.916213i \(-0.368770\pi\)
−0.849863 + 0.527004i \(0.823315\pi\)
\(108\) −1.98693 0.228246i −0.191193 0.0219630i
\(109\) −5.58070 3.58650i −0.534534 0.343524i 0.245364 0.969431i \(-0.421093\pi\)
−0.779898 + 0.625907i \(0.784729\pi\)
\(110\) −0.430154 0.227005i −0.0410136 0.0216441i
\(111\) −5.67517 + 3.64721i −0.538663 + 0.346178i
\(112\) 13.4213 + 3.12475i 1.26820 + 0.295261i
\(113\) −4.27392 14.5556i −0.402057 1.36928i −0.873260 0.487255i \(-0.837998\pi\)
0.471203 0.882025i \(-0.343820\pi\)
\(114\) −3.91517 + 5.38802i −0.366690 + 0.504635i
\(115\) −12.3529 + 9.51450i −1.15191 + 0.887231i
\(116\) −9.27368 + 3.01184i −0.861040 + 0.279642i
\(117\) −0.189047 0.643835i −0.0174774 0.0595225i
\(118\) −1.84484 21.4958i −0.169831 1.97885i
\(119\) −2.06119 3.20728i −0.188949 0.294011i
\(120\) 9.06083 + 1.56990i 0.827137 + 0.143311i
\(121\) 9.24438 + 5.94100i 0.840398 + 0.540091i
\(122\) −6.09145 + 3.43947i −0.551494 + 0.311395i
\(123\) −1.59477 + 1.84046i −0.143796 + 0.165949i
\(124\) −0.0325196 0.188061i −0.00292035 0.0168884i
\(125\) 0.770377 + 1.68689i 0.0689046 + 0.150880i
\(126\) 2.97486 + 3.85840i 0.265022 + 0.343733i
\(127\) −0.661229 + 2.25194i −0.0586746 + 0.199827i −0.983614 0.180287i \(-0.942297\pi\)
0.924939 + 0.380115i \(0.124115\pi\)
\(128\) −8.33883 + 7.64617i −0.737055 + 0.675833i
\(129\) 2.14093 + 0.307819i 0.188498 + 0.0271020i
\(130\) 0.698604 + 3.00514i 0.0612716 + 0.263568i
\(131\) −0.519254 + 1.13701i −0.0453674 + 0.0993408i −0.930959 0.365125i \(-0.881026\pi\)
0.885591 + 0.464466i \(0.153754\pi\)
\(132\) 0.204607 + 0.0538108i 0.0178088 + 0.00468363i
\(133\) 16.0595 2.30901i 1.39254 0.200217i
\(134\) −0.991786 + 17.3242i −0.0856773 + 1.49658i
\(135\) 2.12909 + 2.45710i 0.183243 + 0.211474i
\(136\) 3.12880 + 0.0900058i 0.268292 + 0.00771794i
\(137\) 11.9394i 1.02005i 0.860159 + 0.510025i \(0.170364\pi\)
−0.860159 + 0.510025i \(0.829636\pi\)
\(138\) 4.29658 5.24780i 0.365749 0.446722i
\(139\) 17.9863 1.52558 0.762789 0.646648i \(-0.223830\pi\)
0.762789 + 0.646648i \(0.223830\pi\)
\(140\) −12.6418 18.4933i −1.06843 1.56297i
\(141\) −6.18949 + 5.36322i −0.521249 + 0.451665i
\(142\) 0.743079 12.9799i 0.0623578 1.08925i
\(143\) 0.0101017 + 0.0702592i 0.000844750 + 0.00587537i
\(144\) −3.99354 + 0.227295i −0.332795 + 0.0189413i
\(145\) 14.4181 + 6.58453i 1.19736 + 0.546816i
\(146\) −2.14753 + 0.499236i −0.177731 + 0.0413170i
\(147\) 0.692862 4.81896i 0.0571463 0.397461i
\(148\) −9.94145 + 9.12175i −0.817182 + 0.749803i
\(149\) −9.44712 2.77392i −0.773938 0.227249i −0.129165 0.991623i \(-0.541230\pi\)
−0.644773 + 0.764374i \(0.723048\pi\)
\(150\) −4.81010 6.23871i −0.392743 0.509389i
\(151\) −5.97412 + 2.72829i −0.486167 + 0.222025i −0.643391 0.765538i \(-0.722473\pi\)
0.157224 + 0.987563i \(0.449746\pi\)
\(152\) −5.87969 + 11.9527i −0.476906 + 0.969491i
\(153\) 0.836353 + 0.724704i 0.0676152 + 0.0585889i
\(154\) −0.253399 0.448781i −0.0204195 0.0361638i
\(155\) −0.167734 + 0.261000i −0.0134727 + 0.0209640i
\(156\) −0.591973 1.20442i −0.0473957 0.0964304i
\(157\) 3.74675 2.40789i 0.299023 0.192171i −0.382522 0.923946i \(-0.624944\pi\)
0.681546 + 0.731776i \(0.261308\pi\)
\(158\) −1.60314 18.6796i −0.127539 1.48607i
\(159\) −6.56502 + 1.92766i −0.520640 + 0.152874i
\(160\) 18.3916 + 0.00610168i 1.45399 + 0.000482380i
\(161\) −16.4622 + 1.40468i −1.29740 + 0.110704i
\(162\) −1.14407 0.831330i −0.0898864 0.0653154i
\(163\) −20.3084 + 5.96307i −1.59067 + 0.467064i −0.952932 0.303186i \(-0.901950\pi\)
−0.637743 + 0.770250i \(0.720132\pi\)
\(164\) −2.51570 + 4.17057i −0.196443 + 0.325667i
\(165\) −0.185938 0.289325i −0.0144752 0.0225239i
\(166\) −19.2933 10.1817i −1.49745 0.790250i
\(167\) 4.58653 7.13678i 0.354917 0.552261i −0.617186 0.786817i \(-0.711727\pi\)
0.972103 + 0.234556i \(0.0753637\pi\)
\(168\) 7.17759 + 6.59017i 0.553763 + 0.508442i
\(169\) −8.21833 + 9.48446i −0.632179 + 0.729574i
\(170\) −3.64874 3.54647i −0.279846 0.272002i
\(171\) −4.28394 + 1.95641i −0.327601 + 0.149610i
\(172\) 4.32414 0.122956i 0.329713 0.00937534i
\(173\) −6.58548 + 22.4281i −0.500685 + 1.70518i 0.189795 + 0.981824i \(0.439218\pi\)
−0.690480 + 0.723352i \(0.742600\pi\)
\(174\) −6.75724 1.36966i −0.512265 0.103834i
\(175\) −2.73108 + 18.9951i −0.206450 + 1.43589i
\(176\) 0.421568 + 0.0363212i 0.0317769 + 0.00273781i
\(177\) 6.33745 13.8771i 0.476352 1.04307i
\(178\) 20.7947 8.09452i 1.55863 0.606710i
\(179\) 1.32853 + 9.24014i 0.0992991 + 0.690640i 0.977281 + 0.211947i \(0.0679804\pi\)
−0.877982 + 0.478693i \(0.841111\pi\)
\(180\) 5.03325 + 4.11679i 0.375157 + 0.306847i
\(181\) 13.0027 + 15.0059i 0.966480 + 1.11538i 0.993280 + 0.115737i \(0.0369230\pi\)
−0.0267994 + 0.999641i \(0.508532\pi\)
\(182\) −1.09883 + 3.07903i −0.0814505 + 0.228233i
\(183\) −4.94650 −0.365656
\(184\) 6.67913 11.8063i 0.492392 0.870373i
\(185\) 21.9330 1.61254
\(186\) 0.0453593 0.127102i 0.00332591 0.00931955i
\(187\) −0.0766610 0.0884715i −0.00560601 0.00646967i
\(188\) −10.3703 + 12.6789i −0.756329 + 0.924701i
\(189\) 0.490285 + 3.41001i 0.0356630 + 0.248041i
\(190\) 20.1791 7.85490i 1.46395 0.569854i
\(191\) 7.70256 16.8663i 0.557338 1.22040i −0.395932 0.918280i \(-0.629578\pi\)
0.953270 0.302120i \(-0.0976944\pi\)
\(192\) −7.79282 + 1.80887i −0.562398 + 0.130544i
\(193\) 1.88981 13.1439i 0.136032 0.946122i −0.801444 0.598070i \(-0.795934\pi\)
0.937475 0.348052i \(-0.113157\pi\)
\(194\) 12.5509 + 2.54400i 0.901101 + 0.182649i
\(195\) −0.614632 + 2.09324i −0.0440147 + 0.149900i
\(196\) −0.276759 9.73309i −0.0197685 0.695221i
\(197\) −15.4327 + 7.04789i −1.09954 + 0.502142i −0.880726 0.473626i \(-0.842945\pi\)
−0.218811 + 0.975767i \(0.570218\pi\)
\(198\) 0.107275 + 0.104268i 0.00762372 + 0.00741002i
\(199\) 4.69281 5.41579i 0.332664 0.383915i −0.564633 0.825342i \(-0.690982\pi\)
0.897297 + 0.441427i \(0.145528\pi\)
\(200\) −11.6056 10.6558i −0.820638 0.753476i
\(201\) −6.63372 + 10.3223i −0.467907 + 0.728077i
\(202\) 23.8056 + 12.5630i 1.67496 + 0.883926i
\(203\) 9.08038 + 14.1294i 0.637318 + 0.991686i
\(204\) 1.89521 + 1.14320i 0.132691 + 0.0800399i
\(205\) 7.59691 2.23065i 0.530591 0.155796i
\(206\) −0.540524 0.392769i −0.0376601 0.0273655i
\(207\) 4.47003 1.73747i 0.310689 0.120762i
\(208\) −1.57708 2.17187i −0.109351 0.150592i
\(209\) 0.478006 0.140355i 0.0330643 0.00970857i
\(210\) −1.35447 15.7821i −0.0934675 1.08907i
\(211\) −0.102711 + 0.0660086i −0.00707094 + 0.00454422i −0.544172 0.838974i \(-0.683156\pi\)
0.537101 + 0.843518i \(0.319520\pi\)
\(212\) −12.2811 + 6.03620i −0.843471 + 0.414568i
\(213\) 4.97020 7.73379i 0.340553 0.529910i
\(214\) −4.27484 7.57093i −0.292222 0.517538i
\(215\) −5.31458 4.60511i −0.362451 0.314066i
\(216\) −2.53798 1.24847i −0.172688 0.0849474i
\(217\) −0.299041 + 0.136568i −0.0203003 + 0.00927082i
\(218\) −5.72835 7.42968i −0.387973 0.503202i
\(219\) −1.49587 0.439228i −0.101082 0.0296802i
\(220\) −0.465035 0.506824i −0.0313526 0.0341700i
\(221\) −0.105680 + 0.735024i −0.00710883 + 0.0494430i
\(222\) −9.29261 + 2.16025i −0.623679 + 0.144987i
\(223\) 11.7191 + 5.35195i 0.784772 + 0.358393i 0.767163 0.641452i \(-0.221668\pi\)
0.0176084 + 0.999845i \(0.494395\pi\)
\(224\) 16.3911 + 10.5416i 1.09517 + 0.704340i
\(225\) −0.792750 5.51370i −0.0528500 0.367580i
\(226\) 1.22619 21.4187i 0.0815652 1.42475i
\(227\) 21.2267 18.3930i 1.40886 1.22079i 0.467236 0.884133i \(-0.345250\pi\)
0.941628 0.336655i \(-0.109296\pi\)
\(228\) −7.77588 + 5.31549i −0.514970 + 0.352027i
\(229\) −13.2720 −0.877042 −0.438521 0.898721i \(-0.644497\pi\)
−0.438521 + 0.898721i \(0.644497\pi\)
\(230\) −20.9758 + 6.80097i −1.38310 + 0.448443i
\(231\) 0.364428i 0.0239776i
\(232\) −13.7836 0.396512i −0.904937 0.0260323i
\(233\) −0.740903 0.855047i −0.0485381 0.0560160i 0.730961 0.682419i \(-0.239072\pi\)
−0.779499 + 0.626403i \(0.784527\pi\)
\(234\) 0.0542378 0.947408i 0.00354564 0.0619340i
\(235\) 26.3560 3.78942i 1.71928 0.247194i
\(236\) 7.76048 29.5080i 0.505164 1.92081i
\(237\) 5.50717 12.0590i 0.357729 0.783317i
\(238\) −1.22085 5.25165i −0.0791361 0.340414i
\(239\) −2.49185 0.358274i −0.161184 0.0231748i 0.0612501 0.998122i \(-0.480491\pi\)
−0.222435 + 0.974948i \(0.571400\pi\)
\(240\) 11.3222 + 6.39792i 0.730847 + 0.412984i
\(241\) −2.28900 + 7.79562i −0.147448 + 0.502160i −0.999783 0.0208354i \(-0.993367\pi\)
0.852335 + 0.522996i \(0.175186\pi\)
\(242\) 9.48897 + 12.3072i 0.609974 + 0.791137i
\(243\) −0.415415 0.909632i −0.0266489 0.0583529i
\(244\) −9.74833 + 1.68568i −0.624073 + 0.107915i
\(245\) −10.3655 + 11.9624i −0.662229 + 0.764253i
\(246\) −2.99897 + 1.69333i −0.191207 + 0.107963i
\(247\) −2.65850 1.70852i −0.169156 0.108710i
\(248\) 0.0460779 0.265944i 0.00292595 0.0168874i
\(249\) −8.33969 12.9768i −0.528507 0.822372i
\(250\) 0.224258 + 2.61302i 0.0141833 + 0.165262i
\(251\) −2.51440 8.56326i −0.158707 0.540508i 0.841293 0.540580i \(-0.181795\pi\)
−1.00000 7.21133e-5i \(0.999977\pi\)
\(252\) 2.12830 + 6.55320i 0.134070 + 0.412813i
\(253\) −0.494195 + 0.114629i −0.0310697 + 0.00720668i
\(254\) −1.95114 + 2.68514i −0.122425 + 0.168480i
\(255\) −1.01367 3.45223i −0.0634782 0.216187i
\(256\) −14.7413 + 6.22050i −0.921330 + 0.388781i
\(257\) −1.07112 + 0.688367i −0.0668146 + 0.0429391i −0.573622 0.819120i \(-0.694462\pi\)
0.506807 + 0.862060i \(0.330826\pi\)
\(258\) 2.70527 + 1.42765i 0.168423 + 0.0888817i
\(259\) 19.5514 + 12.5649i 1.21486 + 0.780745i
\(260\) −0.497946 + 4.33472i −0.0308813 + 0.268828i
\(261\) −3.68447 3.19261i −0.228063 0.197618i
\(262\) −1.23207 + 1.26760i −0.0761177 + 0.0783128i
\(263\) −2.32810 5.09783i −0.143557 0.314346i 0.824172 0.566340i \(-0.191641\pi\)
−0.967729 + 0.251994i \(0.918914\pi\)
\(264\) 0.246946 + 0.168929i 0.0151985 + 0.0103969i
\(265\) 21.3443 + 6.26725i 1.31117 + 0.384994i
\(266\) 22.4878 + 4.55818i 1.37882 + 0.279480i
\(267\) 15.6182 + 2.24555i 0.955817 + 0.137426i
\(268\) −9.55577 + 22.6033i −0.583712 + 1.38072i
\(269\) 7.49425 + 3.42251i 0.456932 + 0.208674i 0.630565 0.776136i \(-0.282823\pi\)
−0.173633 + 0.984811i \(0.555551\pi\)
\(270\) 1.66787 + 4.28474i 0.101504 + 0.260761i
\(271\) −15.0886 + 2.16941i −0.916566 + 0.131782i −0.584425 0.811447i \(-0.698680\pi\)
−0.332141 + 0.943230i \(0.607771\pi\)
\(272\) 4.12458 + 1.60711i 0.250089 + 0.0974451i
\(273\) −1.74706 + 1.51384i −0.105737 + 0.0916217i
\(274\) −5.67519 + 15.9025i −0.342851 + 0.960706i
\(275\) 0.589250i 0.0355331i
\(276\) 8.21723 4.94743i 0.494619 0.297801i
\(277\) 1.21009i 0.0727071i 0.999339 + 0.0363536i \(0.0115742\pi\)
−0.999339 + 0.0363536i \(0.988426\pi\)
\(278\) 23.9566 + 8.54950i 1.43682 + 0.512765i
\(279\) 0.0721183 0.0624909i 0.00431761 0.00374123i
\(280\) −8.04760 30.6411i −0.480936 1.83115i
\(281\) −10.0984 + 1.45193i −0.602418 + 0.0866147i −0.436775 0.899571i \(-0.643879\pi\)
−0.165644 + 0.986186i \(0.552970\pi\)
\(282\) −10.7933 + 4.20140i −0.642734 + 0.250190i
\(283\) −2.20786 1.00830i −0.131244 0.0599370i 0.348711 0.937230i \(-0.386620\pi\)
−0.479955 + 0.877293i \(0.659347\pi\)
\(284\) 7.15950 16.9351i 0.424838 1.00492i
\(285\) 15.1558 + 2.17908i 0.897755 + 0.129078i
\(286\) −0.0199417 + 0.0983825i −0.00117918 + 0.00581748i
\(287\) 8.04988 + 2.36366i 0.475169 + 0.139522i
\(288\) −5.42718 1.59552i −0.319800 0.0940170i
\(289\) 6.55330 + 14.3497i 0.385488 + 0.844102i
\(290\) 16.0742 + 15.6236i 0.943908 + 0.917450i
\(291\) 6.84353 + 5.92995i 0.401175 + 0.347620i
\(292\) −3.09767 0.355842i −0.181278 0.0208241i
\(293\) −0.520259 0.334350i −0.0303938 0.0195329i 0.525356 0.850883i \(-0.323932\pi\)
−0.555750 + 0.831350i \(0.687569\pi\)
\(294\) 3.21346 6.08921i 0.187413 0.355130i
\(295\) −41.7258 + 26.8156i −2.42937 + 1.56126i
\(296\) −17.5773 + 7.42409i −1.02166 + 0.431517i
\(297\) 0.0298024 + 0.101497i 0.00172931 + 0.00588948i
\(298\) −11.2644 8.18523i −0.652531 0.474158i
\(299\) 2.60242 + 1.89299i 0.150502 + 0.109475i
\(300\) −3.44129 10.5960i −0.198683 0.611759i
\(301\) −2.09933 7.14966i −0.121003 0.412100i
\(302\) −9.25400 + 0.794208i −0.532508 + 0.0457015i
\(303\) 10.2902 + 16.0119i 0.591156 + 0.919857i
\(304\) −13.5129 + 13.1254i −0.775018 + 0.752794i
\(305\) 13.5291 + 8.69465i 0.774677 + 0.497854i
\(306\) 0.769494 + 1.36281i 0.0439890 + 0.0779065i
\(307\) 9.31105 10.7455i 0.531410 0.613279i −0.425041 0.905174i \(-0.639740\pi\)
0.956450 + 0.291895i \(0.0942857\pi\)
\(308\) −0.124191 0.718197i −0.00707643 0.0409231i
\(309\) −0.196266 0.429763i −0.0111652 0.0244484i
\(310\) −0.347474 + 0.267905i −0.0197352 + 0.0152160i
\(311\) 3.78112 12.8773i 0.214407 0.730205i −0.780111 0.625641i \(-0.784837\pi\)
0.994518 0.104563i \(-0.0333445\pi\)
\(312\) −0.215971 1.88559i −0.0122270 0.106751i
\(313\) −4.83138 0.694648i −0.273086 0.0392638i 0.00441126 0.999990i \(-0.498596\pi\)
−0.277497 + 0.960726i \(0.589505\pi\)
\(314\) 6.13499 1.42620i 0.346218 0.0804852i
\(315\) 4.65292 10.1885i 0.262163 0.574056i
\(316\) 6.74376 25.6421i 0.379366 1.44248i
\(317\) −8.18367 + 1.17663i −0.459641 + 0.0660864i −0.368246 0.929728i \(-0.620042\pi\)
−0.0913948 + 0.995815i \(0.529133\pi\)
\(318\) −9.66048 0.553049i −0.541733 0.0310135i
\(319\) 0.337722 + 0.389752i 0.0189088 + 0.0218219i
\(320\) 24.4936 + 8.75030i 1.36924 + 0.489157i
\(321\) 6.14789i 0.343142i
\(322\) −22.5943 5.95408i −1.25913 0.331808i
\(323\) 5.21182 0.289994
\(324\) −1.12867 1.65109i −0.0627037 0.0917274i
\(325\) 2.82486 2.44775i 0.156695 0.135777i
\(326\) −29.8839 1.71081i −1.65512 0.0947532i
\(327\) −0.944086 6.56626i −0.0522081 0.363115i
\(328\) −5.33317 + 4.35914i −0.294475 + 0.240693i
\(329\) 25.6650 + 11.7208i 1.41496 + 0.646189i
\(330\) −0.110132 0.473745i −0.00606255 0.0260788i
\(331\) 3.88772 27.0397i 0.213688 1.48624i −0.547008 0.837128i \(-0.684233\pi\)
0.760696 0.649108i \(-0.224858\pi\)
\(332\) −20.8578 22.7321i −1.14472 1.24758i
\(333\) −6.47282 1.90059i −0.354709 0.104152i
\(334\) 9.50133 7.32562i 0.519890 0.400840i
\(335\) 36.2877 16.5720i 1.98261 0.905428i
\(336\) 6.42757 + 12.1894i 0.350653 + 0.664989i
\(337\) −4.57305 3.96257i −0.249110 0.215855i 0.521351 0.853343i \(-0.325428\pi\)
−0.770461 + 0.637487i \(0.779974\pi\)
\(338\) −15.4546 + 8.72626i −0.840619 + 0.474646i
\(339\) 8.20159 12.7619i 0.445449 0.693133i
\(340\) −3.17414 6.45805i −0.172142 0.350237i
\(341\) −0.00849196 + 0.00545745i −0.000459865 + 0.000295538i
\(342\) −6.63589 + 0.569513i −0.358828 + 0.0307958i
\(343\) 7.04567 2.06880i 0.380431 0.111705i
\(344\) 5.81793 + 1.89164i 0.313682 + 0.101990i
\(345\) −15.2800 3.10501i −0.822647 0.167168i
\(346\) −19.4323 + 26.7425i −1.04469 + 1.43769i
\(347\) 28.3168 8.31455i 1.52012 0.446349i 0.588113 0.808779i \(-0.299871\pi\)
0.932011 + 0.362430i \(0.118053\pi\)
\(348\) −8.34917 5.03625i −0.447562 0.269971i
\(349\) −4.02721 6.26645i −0.215571 0.335436i 0.716580 0.697505i \(-0.245707\pi\)
−0.932151 + 0.362070i \(0.882070\pi\)
\(350\) −12.6666 + 24.0021i −0.677060 + 1.28297i
\(351\) 0.362778 0.564494i 0.0193637 0.0301305i
\(352\) 0.544237 + 0.248763i 0.0290080 + 0.0132591i
\(353\) −19.1685 + 22.1216i −1.02024 + 1.17741i −0.0362179 + 0.999344i \(0.511531\pi\)
−0.984018 + 0.178071i \(0.943014\pi\)
\(354\) 15.0373 15.4710i 0.799226 0.822275i
\(355\) −27.1880 + 12.4163i −1.44299 + 0.658990i
\(356\) 31.5448 0.896973i 1.67187 0.0475395i
\(357\) 1.07411 3.65807i 0.0568477 0.193606i
\(358\) −2.62263 + 12.9388i −0.138610 + 0.683836i
\(359\) −2.78692 + 19.3834i −0.147088 + 1.02302i 0.773867 + 0.633348i \(0.218320\pi\)
−0.920955 + 0.389670i \(0.872589\pi\)
\(360\) 4.74713 + 7.87578i 0.250196 + 0.415090i
\(361\) −1.32089 + 2.89234i −0.0695205 + 0.152229i
\(362\) 10.1859 + 26.1675i 0.535361 + 1.37533i
\(363\) 1.56387 + 10.8770i 0.0820819 + 0.570892i
\(364\) −2.92714 + 3.57877i −0.153424 + 0.187579i
\(365\) 3.31930 + 3.83068i 0.173740 + 0.200507i
\(366\) −6.58843 2.35124i −0.344383 0.122901i
\(367\) 28.1273 1.46823 0.734117 0.679023i \(-0.237596\pi\)
0.734117 + 0.679023i \(0.237596\pi\)
\(368\) 14.5081 12.5505i 0.756289 0.654238i
\(369\) −2.43528 −0.126776
\(370\) 29.2134 + 10.4255i 1.51873 + 0.541995i
\(371\) 15.4362 + 17.8144i 0.801410 + 0.924876i
\(372\) 0.120832 0.147731i 0.00626482 0.00765948i
\(373\) −4.22177 29.3630i −0.218595 1.52036i −0.743231 0.669034i \(-0.766708\pi\)
0.524636 0.851326i \(-0.324201\pi\)
\(374\) −0.0600541 0.154278i −0.00310532 0.00797753i
\(375\) −0.770377 + 1.68689i −0.0397821 + 0.0871107i
\(376\) −19.8392 + 11.9581i −1.02313 + 0.616693i
\(377\) 0.465565 3.23807i 0.0239778 0.166769i
\(378\) −0.967863 + 4.77496i −0.0497815 + 0.245598i
\(379\) 6.59020 22.4442i 0.338516 1.15288i −0.597778 0.801662i \(-0.703950\pi\)
0.936294 0.351217i \(-0.114232\pi\)
\(380\) 30.6110 0.870421i 1.57031 0.0446517i
\(381\) −2.13491 + 0.974983i −0.109375 + 0.0499499i
\(382\) 18.2764 18.8035i 0.935104 0.962072i
\(383\) −14.6864 + 16.9490i −0.750438 + 0.866051i −0.994611 0.103681i \(-0.966938\pi\)
0.244173 + 0.969732i \(0.421484\pi\)
\(384\) −11.2394 1.29489i −0.573556 0.0660794i
\(385\) −0.640569 + 0.996745i −0.0326464 + 0.0507988i
\(386\) 8.76488 16.6086i 0.446121 0.845357i
\(387\) 1.16938 + 1.81958i 0.0594427 + 0.0924947i
\(388\) 15.5077 + 9.35431i 0.787286 + 0.474893i
\(389\) 30.1438 8.85103i 1.52835 0.448765i 0.593808 0.804607i \(-0.297624\pi\)
0.934546 + 0.355842i \(0.115806\pi\)
\(390\) −1.81364 + 2.49592i −0.0918373 + 0.126386i
\(391\) −5.29850 0.305947i −0.267957 0.0154724i
\(392\) 4.25784 13.0954i 0.215054 0.661419i
\(393\) −1.19933 + 0.352156i −0.0604983 + 0.0177639i
\(394\) −23.9055 + 2.05165i −1.20434 + 0.103361i
\(395\) −36.2592 + 23.3024i −1.82440 + 1.17247i
\(396\) 0.0933217 + 0.189870i 0.00468959 + 0.00954134i
\(397\) 11.3030 17.5878i 0.567280 0.882706i −0.432541 0.901614i \(-0.642383\pi\)
0.999821 + 0.0189088i \(0.00601921\pi\)
\(398\) 8.82483 4.98284i 0.442349 0.249767i
\(399\) 12.2618 + 10.6249i 0.613857 + 0.531910i
\(400\) −10.3929 19.7093i −0.519643 0.985466i
\(401\) 20.7736 9.48697i 1.03738 0.473757i 0.177431 0.984133i \(-0.443221\pi\)
0.859951 + 0.510377i \(0.170494\pi\)
\(402\) −13.7422 + 10.5954i −0.685400 + 0.528450i
\(403\) 0.0614387 + 0.0180400i 0.00306048 + 0.000898638i
\(404\) 25.7360 + 28.0487i 1.28041 + 1.39547i
\(405\) −0.462696 + 3.21812i −0.0229916 + 0.159910i
\(406\) 5.37834 + 23.1356i 0.266923 + 1.14820i
\(407\) 0.649129 + 0.296447i 0.0321761 + 0.0146944i
\(408\) 1.98090 + 2.42353i 0.0980693 + 0.119982i
\(409\) −4.21660 29.3271i −0.208497 1.45013i −0.778064 0.628185i \(-0.783798\pi\)
0.569567 0.821945i \(-0.307111\pi\)
\(410\) 11.1789 + 0.639977i 0.552087 + 0.0316062i
\(411\) −9.02318 + 7.81863i −0.445081 + 0.385665i
\(412\) −0.533248 0.780073i −0.0262712 0.0384314i
\(413\) −52.5570 −2.58616
\(414\) 6.77968 0.189442i 0.333203 0.00931055i
\(415\) 50.1518i 2.46186i
\(416\) −1.06820 3.64243i −0.0523729 0.178585i
\(417\) 11.7785 + 13.5931i 0.576796 + 0.665659i
\(418\) 0.703389 + 0.0402681i 0.0344039 + 0.00196958i
\(419\) −7.17754 + 1.03198i −0.350646 + 0.0504153i −0.315388 0.948963i \(-0.602135\pi\)
−0.0352584 + 0.999378i \(0.511225\pi\)
\(420\) 5.69770 21.6646i 0.278019 1.05713i
\(421\) 7.47958 16.3780i 0.364532 0.798214i −0.635135 0.772402i \(-0.719055\pi\)
0.999667 0.0258128i \(-0.00821737\pi\)
\(422\) −0.168181 + 0.0390971i −0.00818694 + 0.00190322i
\(423\) −8.10651 1.16554i −0.394152 0.0566705i
\(424\) −19.2269 + 2.20220i −0.933741 + 0.106948i
\(425\) −1.73674 + 5.91479i −0.0842443 + 0.286910i
\(426\) 10.2961 7.93841i 0.498849 0.384617i
\(427\) 7.07910 + 15.5011i 0.342582 + 0.750150i
\(428\) −2.09510 12.1160i −0.101270 0.585648i
\(429\) −0.0464831 + 0.0536443i −0.00224422 + 0.00258997i
\(430\) −4.88972 8.65992i −0.235803 0.417618i
\(431\) 29.8892 + 19.2086i 1.43971 + 0.925248i 0.999628 + 0.0272918i \(0.00868832\pi\)
0.440086 + 0.897956i \(0.354948\pi\)
\(432\) −2.78699 2.86927i −0.134089 0.138048i
\(433\) −6.27023 9.75667i −0.301328 0.468875i 0.657263 0.753661i \(-0.271714\pi\)
−0.958591 + 0.284786i \(0.908078\pi\)
\(434\) −0.463220 + 0.0397550i −0.0222353 + 0.00190830i
\(435\) 4.46560 + 15.2084i 0.214109 + 0.729189i
\(436\) −4.09823 12.6188i −0.196270 0.604329i
\(437\) 10.5514 19.9700i 0.504740 0.955296i
\(438\) −1.78363 1.29606i −0.0852250 0.0619282i
\(439\) −3.47804 11.8451i −0.165998 0.565337i −0.999910 0.0134390i \(-0.995722\pi\)
0.833912 0.551898i \(-0.186096\pi\)
\(440\) −0.378487 0.896104i −0.0180436 0.0427201i
\(441\) 4.09565 2.63212i 0.195031 0.125339i
\(442\) −0.490141 + 0.928772i −0.0233136 + 0.0441772i
\(443\) −28.9372 18.5968i −1.37485 0.883562i −0.375780 0.926709i \(-0.622625\pi\)
−0.999069 + 0.0431468i \(0.986262\pi\)
\(444\) −13.4040 1.53977i −0.636127 0.0730743i
\(445\) −38.7701 33.5945i −1.83788 1.59253i
\(446\) 13.0652 + 12.6990i 0.618655 + 0.601314i
\(447\) −4.09016 8.95619i −0.193458 0.423613i
\(448\) 16.8211 + 21.8320i 0.794723 + 1.03146i
\(449\) 3.61727 + 1.06213i 0.170709 + 0.0501248i 0.365970 0.930627i \(-0.380737\pi\)
−0.195261 + 0.980751i \(0.562555\pi\)
\(450\) 1.56495 7.72072i 0.0737726 0.363958i
\(451\) 0.254988 + 0.0366617i 0.0120069 + 0.00172633i
\(452\) 11.8143 27.9456i 0.555696 1.31445i
\(453\) −5.97412 2.72829i −0.280688 0.128186i
\(454\) 37.0154 14.4086i 1.73722 0.676229i
\(455\) 7.43932 1.06961i 0.348761 0.0501442i
\(456\) −12.8836 + 3.38377i −0.603331 + 0.158459i
\(457\) −27.0530 + 23.4416i −1.26549 + 1.09655i −0.274641 + 0.961547i \(0.588559\pi\)
−0.990845 + 0.135003i \(0.956896\pi\)
\(458\) −17.6775 6.30866i −0.826017 0.294784i
\(459\) 1.10665i 0.0516542i
\(460\) −31.1712 0.912047i −1.45337 0.0425244i
\(461\) 1.46696i 0.0683230i −0.999416 0.0341615i \(-0.989124\pi\)
0.999416 0.0341615i \(-0.0108761\pi\)
\(462\) 0.173225 0.485395i 0.00805916 0.0225826i
\(463\) 24.3753 21.1214i 1.13282 0.981593i 0.132864 0.991134i \(-0.457583\pi\)
0.999954 + 0.00954138i \(0.00303716\pi\)
\(464\) −18.1704 7.07994i −0.843540 0.328678i
\(465\) −0.307093 + 0.0441533i −0.0142411 + 0.00204756i
\(466\) −0.580403 1.49105i −0.0268866 0.0690714i
\(467\) −19.6265 8.96312i −0.908206 0.414764i −0.0941553 0.995558i \(-0.530015\pi\)
−0.814051 + 0.580794i \(0.802742\pi\)
\(468\) 0.522577 1.23611i 0.0241561 0.0571391i
\(469\) 41.8411 + 6.01585i 1.93204 + 0.277786i
\(470\) 36.9058 + 7.48063i 1.70234 + 0.345056i
\(471\) 4.27336 + 1.25477i 0.196906 + 0.0578169i
\(472\) 24.3626 35.6140i 1.12138 1.63927i
\(473\) −0.0950476 0.208125i −0.00437029 0.00956961i
\(474\) 13.0673 13.4441i 0.600199 0.617509i
\(475\) −19.8263 17.1796i −0.909693 0.788253i
\(476\) 0.870190 7.57519i 0.0398851 0.347208i
\(477\) −5.75601 3.69916i −0.263549 0.169373i
\(478\) −3.14869 1.66166i −0.144018 0.0760026i
\(479\) −28.0485 + 18.0257i −1.28157 + 0.823615i −0.991081 0.133263i \(-0.957454\pi\)
−0.290489 + 0.956878i \(0.593818\pi\)
\(480\) 12.0394 + 13.9035i 0.549519 + 0.634604i
\(481\) −1.27533 4.34336i −0.0581499 0.198040i
\(482\) −6.75433 + 9.29524i −0.307651 + 0.423387i
\(483\) −11.8420 11.5214i −0.538830 0.524242i
\(484\) 6.78868 + 20.9029i 0.308577 + 0.950130i
\(485\) −8.29440 28.2481i −0.376629 1.28268i
\(486\) −0.120928 1.40903i −0.00548540 0.0639151i
\(487\) −9.94289 15.4714i −0.450555 0.701078i 0.539464 0.842009i \(-0.318627\pi\)
−0.990019 + 0.140931i \(0.954990\pi\)
\(488\) −13.7854 2.38849i −0.624037 0.108122i
\(489\) −17.8057 11.4431i −0.805204 0.517473i
\(490\) −19.4924 + 11.0061i −0.880576 + 0.497207i
\(491\) −5.53544 + 6.38824i −0.249811 + 0.288297i −0.866781 0.498690i \(-0.833815\pi\)
0.616970 + 0.786987i \(0.288360\pi\)
\(492\) −4.79934 + 0.829903i −0.216371 + 0.0374149i
\(493\) 2.24125 + 4.90766i 0.100941 + 0.221030i
\(494\) −2.72884 3.53931i −0.122776 0.159241i
\(495\) 0.0968938 0.329990i 0.00435505 0.0148320i
\(496\) 0.187785 0.332318i 0.00843179 0.0149215i
\(497\) −31.3488 4.50727i −1.40618 0.202179i
\(498\) −4.93963 21.2485i −0.221350 0.952166i
\(499\) 5.33738 11.6872i 0.238934 0.523192i −0.751738 0.659462i \(-0.770784\pi\)
0.990672 + 0.136270i \(0.0435114\pi\)
\(500\) −0.943360 + 3.58698i −0.0421883 + 0.160414i
\(501\) 8.39716 1.20733i 0.375158 0.0539395i
\(502\) 0.721385 12.6009i 0.0321970 0.562406i
\(503\) 14.7464 + 17.0183i 0.657510 + 0.758807i 0.982368 0.186956i \(-0.0598622\pi\)
−0.324859 + 0.945763i \(0.605317\pi\)
\(504\) −0.280193 + 9.74010i −0.0124808 + 0.433859i
\(505\) 61.8814i 2.75369i
\(506\) −0.712724 0.0822285i −0.0316844 0.00365550i
\(507\) −12.5497 −0.557353
\(508\) −3.87513 + 2.64899i −0.171931 + 0.117530i
\(509\) −2.45914 + 2.13086i −0.109000 + 0.0944487i −0.707656 0.706558i \(-0.750247\pi\)
0.598656 + 0.801006i \(0.295702\pi\)
\(510\) 0.290822 5.07998i 0.0128778 0.224945i
\(511\) 0.764365 + 5.31628i 0.0338135 + 0.235178i
\(512\) −22.5913 + 1.27828i −0.998403 + 0.0564926i
\(513\) −4.28394 1.95641i −0.189141 0.0863776i
\(514\) −1.75387 + 0.407722i −0.0773598 + 0.0179838i
\(515\) −0.218605 + 1.52043i −0.00963287 + 0.0669981i
\(516\) 2.92464 + 3.18745i 0.128750 + 0.140320i
\(517\) 0.831251 + 0.244077i 0.0365584 + 0.0107345i
\(518\) 20.0687 + 26.0291i 0.881767 + 1.14365i
\(519\) −21.2626 + 9.71030i −0.933324 + 0.426235i
\(520\) −2.72367 + 5.53689i −0.119441 + 0.242809i
\(521\) 20.1672 + 17.4750i 0.883541 + 0.765592i 0.973099 0.230389i \(-0.0739999\pi\)
−0.0895578 + 0.995982i \(0.528545\pi\)
\(522\) −3.38993 6.00371i −0.148373 0.262775i
\(523\) −14.3532 + 22.3340i −0.627622 + 0.976599i 0.371223 + 0.928544i \(0.378939\pi\)
−0.998845 + 0.0480550i \(0.984698\pi\)
\(524\) −2.24358 + 1.10272i −0.0980112 + 0.0481727i
\(525\) −16.1440 + 10.3751i −0.704582 + 0.452807i
\(526\) −0.677713 7.89661i −0.0295497 0.344309i
\(527\) −0.101326 + 0.0297520i −0.00441383 + 0.00129602i
\(528\) 0.248619 + 0.342385i 0.0108197 + 0.0149004i
\(529\) −11.8991 + 19.6828i −0.517353 + 0.855772i
\(530\) 25.4502 + 18.4933i 1.10549 + 0.803296i
\(531\) 14.6378 4.29803i 0.635224 0.186519i
\(532\) 27.7857 + 16.7604i 1.20466 + 0.726657i
\(533\) −0.883468 1.37470i −0.0382672 0.0595450i
\(534\) 19.7350 + 10.4148i 0.854019 + 0.450692i
\(535\) −10.8064 + 16.8151i −0.467201 + 0.726979i
\(536\) −23.4718 + 25.5640i −1.01383 + 1.10420i
\(537\) −6.11323 + 7.05504i −0.263805 + 0.304448i
\(538\) 8.35504 + 8.12084i 0.360211 + 0.350114i
\(539\) −0.468463 + 0.213940i −0.0201781 + 0.00921505i
\(540\) 0.184821 + 6.49980i 0.00795344 + 0.279707i
\(541\) −10.1713 + 34.6402i −0.437297 + 1.48930i 0.386434 + 0.922317i \(0.373707\pi\)
−0.823731 + 0.566980i \(0.808112\pi\)
\(542\) −21.1283 4.28260i −0.907536 0.183953i
\(543\) −2.82575 + 19.6535i −0.121265 + 0.843413i
\(544\) 4.72977 + 4.10112i 0.202787 + 0.175834i
\(545\) −8.95961 + 19.6188i −0.383788 + 0.840378i
\(546\) −3.04656 + 1.18590i −0.130381 + 0.0507518i
\(547\) −4.84370 33.6887i −0.207102 1.44043i −0.782550 0.622587i \(-0.786082\pi\)
0.575449 0.817838i \(-0.304827\pi\)
\(548\) −15.1180 + 18.4835i −0.645809 + 0.789578i
\(549\) −3.23927 3.73831i −0.138249 0.159547i
\(550\) −0.280090 + 0.784844i −0.0119431 + 0.0334659i
\(551\) −22.9602 −0.978136
\(552\) 13.2965 2.68374i 0.565938 0.114228i
\(553\) −45.6714 −1.94215
\(554\) −0.575196 + 1.61176i −0.0244377 + 0.0684772i
\(555\) 14.3630 + 16.5758i 0.609677 + 0.703605i
\(556\) 27.8449 + 22.7748i 1.18088 + 0.965866i
\(557\) −2.01391 14.0070i −0.0853320 0.593497i −0.986958 0.160980i \(-0.948535\pi\)
0.901626 0.432517i \(-0.142374\pi\)
\(558\) 0.125761 0.0489536i 0.00532389 0.00207237i
\(559\) −0.602921 + 1.32021i −0.0255008 + 0.0558390i
\(560\) 3.84584 44.6373i 0.162516 1.88627i
\(561\) 0.0166600 0.115873i 0.000703387 0.00489216i
\(562\) −14.1405 2.86622i −0.596483 0.120904i
\(563\) 2.69371 9.17395i 0.113527 0.386636i −0.883053 0.469273i \(-0.844516\pi\)
0.996580 + 0.0826371i \(0.0263342\pi\)
\(564\) −16.3731 + 0.465568i −0.689433 + 0.0196039i
\(565\) −44.8643 + 20.4888i −1.88745 + 0.861972i
\(566\) −2.46146 2.39246i −0.103463 0.100563i
\(567\) −2.25604 + 2.60361i −0.0947448 + 0.109341i
\(568\) 17.5859 19.1534i 0.737886 0.803659i
\(569\) −3.64544 + 5.67242i −0.152825 + 0.237800i −0.909221 0.416314i \(-0.863322\pi\)
0.756396 + 0.654114i \(0.226958\pi\)
\(570\) 19.1508 + 10.1065i 0.802141 + 0.423314i
\(571\) 1.48323 + 2.30795i 0.0620712 + 0.0965846i 0.870902 0.491457i \(-0.163535\pi\)
−0.808831 + 0.588042i \(0.799899\pi\)
\(572\) −0.0733256 + 0.121560i −0.00306590 + 0.00508270i
\(573\) 17.7908 5.22384i 0.743220 0.218229i
\(574\) 9.59841 + 6.97463i 0.400630 + 0.291115i
\(575\) 19.1475 + 18.6292i 0.798508 + 0.776889i
\(576\) −6.47026 4.70486i −0.269594 0.196036i
\(577\) −7.91014 + 2.32263i −0.329303 + 0.0966922i −0.442205 0.896914i \(-0.645804\pi\)
0.112902 + 0.993606i \(0.463985\pi\)
\(578\) 1.90768 + 22.2280i 0.0793488 + 0.924561i
\(579\) 11.1711 7.17923i 0.464255 0.298359i
\(580\) 13.9834 + 28.4503i 0.580628 + 1.18133i
\(581\) −28.7308 + 44.7061i −1.19196 + 1.85472i
\(582\) 6.29645 + 11.1513i 0.260996 + 0.462236i
\(583\) 0.546998 + 0.473977i 0.0226543 + 0.0196301i
\(584\) −3.95677 1.94639i −0.163732 0.0805421i
\(585\) −1.98447 + 0.906276i −0.0820476 + 0.0374699i
\(586\) −0.534024 0.692630i −0.0220603 0.0286123i
\(587\) −3.88206 1.13988i −0.160230 0.0470477i 0.200634 0.979666i \(-0.435700\pi\)
−0.360864 + 0.932619i \(0.617518\pi\)
\(588\) 7.17454 6.58298i 0.295873 0.271478i
\(589\) 0.0639581 0.444838i 0.00263535 0.0183292i
\(590\) −68.3226 + 15.8830i −2.81280 + 0.653891i
\(591\) −15.4327 7.04789i −0.634818 0.289912i
\(592\) −26.9407 + 1.53335i −1.10726 + 0.0630205i
\(593\) 2.47242 + 17.1961i 0.101530 + 0.706157i 0.975471 + 0.220126i \(0.0706468\pi\)
−0.873941 + 0.486031i \(0.838444\pi\)
\(594\) −0.00855034 + 0.149354i −0.000350825 + 0.00612808i
\(595\) −9.36771 + 8.11717i −0.384039 + 0.332771i
\(596\) −11.1128 16.2566i −0.455198 0.665896i
\(597\) 7.16611 0.293289
\(598\) 2.56646 + 3.75837i 0.104950 + 0.153691i
\(599\) 12.2519i 0.500598i 0.968169 + 0.250299i \(0.0805290\pi\)
−0.968169 + 0.250299i \(0.919471\pi\)
\(600\) 0.453049 15.7489i 0.0184956 0.642948i
\(601\) −30.9481 35.7160i −1.26240 1.45689i −0.832515 0.554003i \(-0.813100\pi\)
−0.429884 0.902884i \(-0.641446\pi\)
\(602\) 0.602301 10.5208i 0.0245479 0.428795i
\(603\) −12.1452 + 1.74622i −0.494591 + 0.0711115i
\(604\) −12.7033 3.34090i −0.516888 0.135939i
\(605\) 14.8415 32.4984i 0.603394 1.32125i
\(606\) 6.09492 + 26.2181i 0.247589 + 1.06504i
\(607\) 39.9660 + 5.74624i 1.62217 + 0.233233i 0.892658 0.450736i \(-0.148838\pi\)
0.729512 + 0.683968i \(0.239747\pi\)
\(608\) −24.2373 + 11.0591i −0.982952 + 0.448505i
\(609\) −4.73187 + 16.1153i −0.191745 + 0.653023i
\(610\) 13.8871 + 18.0116i 0.562273 + 0.729268i
\(611\) −2.28293 4.99891i −0.0923573 0.202234i
\(612\) 0.377129 + 2.18094i 0.0152445 + 0.0881593i
\(613\) 0.430587 0.496924i 0.0173912 0.0200706i −0.746987 0.664838i \(-0.768500\pi\)
0.764379 + 0.644768i \(0.223046\pi\)
\(614\) 17.5094 9.88651i 0.706624 0.398987i
\(615\) 6.66073 + 4.28059i 0.268587 + 0.172610i
\(616\) 0.175969 1.01563i 0.00709000 0.0409207i
\(617\) 1.64652 + 2.56204i 0.0662865 + 0.103144i 0.872815 0.488052i \(-0.162292\pi\)
−0.806528 + 0.591196i \(0.798656\pi\)
\(618\) −0.0571333 0.665710i −0.00229824 0.0267788i
\(619\) 7.21768 + 24.5812i 0.290103 + 0.988000i 0.967603 + 0.252477i \(0.0812453\pi\)
−0.677500 + 0.735523i \(0.736937\pi\)
\(620\) −0.590158 + 0.191667i −0.0237013 + 0.00769754i
\(621\) 4.24034 + 2.24043i 0.170159 + 0.0899052i
\(622\) 11.1572 15.3545i 0.447364 0.615658i
\(623\) −15.3147 52.1571i −0.613571 2.08963i
\(624\) 0.608625 2.61415i 0.0243645 0.104650i
\(625\) −18.3584 + 11.7982i −0.734336 + 0.471929i
\(626\) −6.10491 3.22175i −0.244001 0.128767i
\(627\) 0.419100 + 0.269339i 0.0167373 + 0.0107564i
\(628\) 8.84935 + 1.01656i 0.353127 + 0.0405651i
\(629\) 5.64211 + 4.88892i 0.224966 + 0.194934i
\(630\) 11.0403 11.3587i 0.439858 0.452543i
\(631\) −17.0712 37.3807i −0.679594 1.48810i −0.863073 0.505079i \(-0.831463\pi\)
0.183480 0.983023i \(-0.441264\pi\)
\(632\) 21.1708 30.9481i 0.842130 1.23105i
\(633\) −0.117148 0.0343976i −0.00465620 0.00136718i
\(634\) −11.4594 2.32277i −0.455112 0.0922492i
\(635\) 7.55296 + 1.08595i 0.299730 + 0.0430947i
\(636\) −12.6043 5.32858i −0.499792 0.211292i
\(637\) 2.97163 + 1.35710i 0.117740 + 0.0537702i
\(638\) 0.264562 + 0.679657i 0.0104741 + 0.0269079i
\(639\) 9.09960 1.30832i 0.359974 0.0517565i
\(640\) 28.4647 + 23.2975i 1.12516 + 0.920915i
\(641\) −31.4539 + 27.2550i −1.24236 + 1.07651i −0.248183 + 0.968713i \(0.579833\pi\)
−0.994173 + 0.107795i \(0.965621\pi\)
\(642\) 2.92230 8.18861i 0.115334 0.323179i
\(643\) 22.5959i 0.891095i −0.895258 0.445547i \(-0.853009\pi\)
0.895258 0.445547i \(-0.146991\pi\)
\(644\) −27.2640 18.6703i −1.07435 0.735712i
\(645\) 7.03220i 0.276893i
\(646\) 6.94182 + 2.47736i 0.273122 + 0.0974703i
\(647\) −3.17903 + 2.75465i −0.124981 + 0.108296i −0.715109 0.699013i \(-0.753623\pi\)
0.590128 + 0.807310i \(0.299077\pi\)
\(648\) −0.718493 2.73565i −0.0282251 0.107466i
\(649\) −1.59736 + 0.229666i −0.0627019 + 0.00901517i
\(650\) 4.92603 1.91750i 0.193215 0.0752106i
\(651\) −0.299041 0.136568i −0.0117204 0.00535251i
\(652\) −38.9903 16.4835i −1.52698 0.645545i
\(653\) 41.1078 + 5.91041i 1.60867 + 0.231292i 0.887279 0.461233i \(-0.152593\pi\)
0.721394 + 0.692525i \(0.243502\pi\)
\(654\) 1.86370 9.19461i 0.0728766 0.359538i
\(655\) 3.89928 + 1.14493i 0.152358 + 0.0447362i
\(656\) −9.17550 + 3.27107i −0.358243 + 0.127714i
\(657\) −0.647642 1.41814i −0.0252669 0.0553268i
\(658\) 28.6128 + 27.8108i 1.11544 + 1.08418i
\(659\) 5.36910 + 4.65235i 0.209150 + 0.181230i 0.753136 0.657865i \(-0.228540\pi\)
−0.543986 + 0.839094i \(0.683086\pi\)
\(660\) 0.0784988 0.683349i 0.00305556 0.0265993i
\(661\) 3.97247 + 2.55295i 0.154511 + 0.0992983i 0.615612 0.788050i \(-0.288909\pi\)
−0.461101 + 0.887348i \(0.652545\pi\)
\(662\) 18.0311 34.1672i 0.700798 1.32795i
\(663\) −0.624700 + 0.401470i −0.0242613 + 0.0155918i
\(664\) −16.9759 40.1921i −0.658793 1.55976i
\(665\) −14.8614 50.6131i −0.576299 1.96269i
\(666\) −7.71798 5.60822i −0.299066 0.217314i
\(667\) 23.3420 + 1.34782i 0.903806 + 0.0521878i
\(668\) 16.1373 5.24096i 0.624371 0.202779i
\(669\) 3.62967 + 12.3615i 0.140331 + 0.477924i
\(670\) 56.2102 4.82414i 2.17159 0.186373i
\(671\) 0.282892 + 0.440188i 0.0109209 + 0.0169933i
\(672\) 2.76707 + 19.2908i 0.106742 + 0.744160i
\(673\) −41.1422 26.4405i −1.58592 1.01921i −0.973505 0.228667i \(-0.926563\pi\)
−0.612411 0.790539i \(-0.709800\pi\)
\(674\) −4.20748 7.45163i −0.162066 0.287026i
\(675\) 3.64783 4.20982i 0.140405 0.162036i
\(676\) −24.7324 + 4.27674i −0.951247 + 0.164490i
\(677\) −7.28503 15.9520i −0.279986 0.613085i 0.716431 0.697658i \(-0.245775\pi\)
−0.996417 + 0.0845734i \(0.973047\pi\)
\(678\) 16.9902 13.0996i 0.652504 0.503087i
\(679\) 8.78896 29.9325i 0.337289 1.14870i
\(680\) −1.15803 10.1105i −0.0444085 0.387720i
\(681\) 27.8010 + 3.99718i 1.06534 + 0.153172i
\(682\) −0.0139049 + 0.00323247i −0.000532445 + 0.000123778i
\(683\) −11.6393 + 25.4866i −0.445367 + 0.975217i 0.545215 + 0.838296i \(0.316448\pi\)
−0.990582 + 0.136921i \(0.956279\pi\)
\(684\) −9.10930 2.39571i −0.348303 0.0916022i
\(685\) 38.4224 5.52431i 1.46804 0.211073i
\(686\) 10.3678 + 0.593540i 0.395843 + 0.0226615i
\(687\) −8.69134 10.0303i −0.331595 0.382682i
\(688\) 6.84996 + 5.28501i 0.261152 + 0.201489i
\(689\) 4.59121i 0.174911i
\(690\) −18.8761 11.3988i −0.718600 0.433944i
\(691\) −12.8621 −0.489298 −0.244649 0.969612i \(-0.578673\pi\)
−0.244649 + 0.969612i \(0.578673\pi\)
\(692\) −38.5942 + 26.3825i −1.46713 + 1.00291i
\(693\) 0.275416 0.238650i 0.0104622 0.00906555i
\(694\) 41.6684 + 2.38546i 1.58171 + 0.0905507i
\(695\) −8.32219 57.8821i −0.315679 2.19559i
\(696\) −8.72667 10.6766i −0.330784 0.404696i
\(697\) 2.45147 + 1.11955i 0.0928561 + 0.0424060i
\(698\) −2.38533 10.2608i −0.0902860 0.388377i
\(699\) 0.161014 1.11987i 0.00609009 0.0423575i
\(700\) −28.2802 + 25.9484i −1.06889 + 0.980757i
\(701\) 37.6862 + 11.0657i 1.42339 + 0.417944i 0.900648 0.434549i \(-0.143092\pi\)
0.522738 + 0.852493i \(0.324910\pi\)
\(702\) 0.751521 0.579430i 0.0283643 0.0218692i
\(703\) −28.8998 + 13.1981i −1.08998 + 0.497776i
\(704\) 0.606645 + 0.590032i 0.0228638 + 0.0222376i
\(705\) 20.1234 + 17.4370i 0.757890 + 0.656715i
\(706\) −36.0464 + 20.3532i −1.35662 + 0.766002i
\(707\) 35.4504 55.1620i 1.33325 2.07458i
\(708\) 27.3827 13.4587i 1.02910 0.505807i
\(709\) 26.9105 17.2943i 1.01064 0.649502i 0.0730846 0.997326i \(-0.476716\pi\)
0.937560 + 0.347824i \(0.113079\pi\)
\(710\) −42.1146 + 3.61441i −1.58053 + 0.135646i
\(711\) 12.7200 3.73494i 0.477038 0.140071i
\(712\) 42.4421 + 13.7996i 1.59058 + 0.517162i
\(713\) −0.0911349 + 0.448482i −0.00341303 + 0.0167958i
\(714\) 3.16945 4.36176i 0.118614 0.163235i
\(715\) 0.221428 0.0650173i 0.00828096 0.00243151i
\(716\) −9.64342 + 15.9870i −0.360392 + 0.597463i
\(717\) −1.36105 2.11783i −0.0508293 0.0790920i
\(718\) −12.9256 + 24.4928i −0.482379 + 0.914063i
\(719\) 11.4694 17.8467i 0.427736 0.665571i −0.558765 0.829326i \(-0.688724\pi\)
0.986501 + 0.163755i \(0.0523608\pi\)
\(720\) 2.57926 + 12.7465i 0.0961233 + 0.475035i
\(721\) −1.06589 + 1.23010i −0.0396956 + 0.0458112i
\(722\) −3.13417 + 3.22456i −0.116642 + 0.120006i
\(723\) −7.39052 + 3.37514i −0.274856 + 0.125523i
\(724\) 1.12873 + 39.6952i 0.0419489 + 1.47526i
\(725\) 7.65104 26.0570i 0.284152 0.967734i
\(726\) −3.08721 + 15.2308i −0.114577 + 0.565268i
\(727\) −4.20808 + 29.2679i −0.156069 + 1.08549i 0.749720 + 0.661756i \(0.230188\pi\)
−0.905789 + 0.423729i \(0.860721\pi\)
\(728\) −5.59988 + 3.37533i −0.207545 + 0.125098i
\(729\) 0.415415 0.909632i 0.0153857 0.0336901i
\(730\) 2.60025 + 6.68001i 0.0962397 + 0.247238i
\(731\) −0.340649 2.36927i −0.0125994 0.0876305i
\(732\) −7.65775 6.26341i −0.283039 0.231502i
\(733\) −17.2557 19.9142i −0.637354 0.735546i 0.341550 0.939864i \(-0.389048\pi\)
−0.978905 + 0.204317i \(0.934503\pi\)
\(734\) 37.4638 + 13.3699i 1.38281 + 0.493491i
\(735\) −15.8286 −0.583846
\(736\) 25.2896 9.82022i 0.932187 0.361978i
\(737\) 1.29796 0.0478110
\(738\) −3.24364 1.15757i −0.119400 0.0426108i
\(739\) 25.7540 + 29.7217i 0.947377 + 1.09333i 0.995526 + 0.0944907i \(0.0301223\pi\)
−0.0481492 + 0.998840i \(0.515332\pi\)
\(740\) 33.9548 + 27.7722i 1.24820 + 1.02093i
\(741\) −0.449739 3.12800i −0.0165216 0.114910i
\(742\) 12.0923 + 31.0650i 0.443923 + 1.14043i
\(743\) 3.79546 8.31089i 0.139242 0.304897i −0.827145 0.561988i \(-0.810037\pi\)
0.966387 + 0.257091i \(0.0827640\pi\)
\(744\) 0.231161 0.139333i 0.00847479 0.00510819i
\(745\) −4.55568 + 31.6855i −0.166907 + 1.16087i
\(746\) 8.33412 41.1165i 0.305134 1.50538i
\(747\) 4.34589 14.8007i 0.159008 0.541530i
\(748\) −0.00665474 0.234034i −0.000243322 0.00855715i
\(749\) −19.2659 + 8.79846i −0.703962 + 0.321489i
\(750\) −1.82793 + 1.88065i −0.0667466 + 0.0686715i
\(751\) 13.3625 15.4211i 0.487603 0.562724i −0.457621 0.889148i \(-0.651298\pi\)
0.945223 + 0.326424i \(0.105844\pi\)
\(752\) −32.1087 + 6.49720i −1.17088 + 0.236928i
\(753\) 4.82510 7.50800i 0.175836 0.273607i
\(754\) 2.15927 4.09161i 0.0786359 0.149008i
\(755\) 11.5442 + 17.9631i 0.420135 + 0.653743i
\(756\) −3.55883 + 5.89989i −0.129434 + 0.214577i
\(757\) −46.5747 + 13.6756i −1.69279 + 0.497047i −0.979093 0.203411i \(-0.934797\pi\)
−0.713693 + 0.700458i \(0.752979\pi\)
\(758\) 19.4462 26.7617i 0.706318 0.972028i
\(759\) −0.410260 0.298421i −0.0148915 0.0108320i
\(760\) 41.1857 + 13.3911i 1.49396 + 0.485747i
\(761\) 29.5113 8.66531i 1.06978 0.314117i 0.301000 0.953624i \(-0.402680\pi\)
0.768785 + 0.639507i \(0.220862\pi\)
\(762\) −3.30702 + 0.283819i −0.119801 + 0.0102817i
\(763\) −19.2259 + 12.3557i −0.696024 + 0.447307i
\(764\) 33.2810 16.3577i 1.20407 0.591801i
\(765\) 1.94521 3.02680i 0.0703292 0.109434i
\(766\) −27.6177 + 15.5940i −0.997869 + 0.563435i
\(767\) 7.73647 + 6.70369i 0.279348 + 0.242056i
\(768\) −14.3546 7.06716i −0.517978 0.255014i
\(769\) 39.9697 18.2535i 1.44134 0.658239i 0.467196 0.884154i \(-0.345264\pi\)
0.974147 + 0.225915i \(0.0725371\pi\)
\(770\) −1.32699 + 1.02312i −0.0478212 + 0.0368706i
\(771\) −1.22167 0.358714i −0.0439973 0.0129188i
\(772\) 19.5689 17.9554i 0.704301 0.646229i
\(773\) 2.36541 16.4518i 0.0850777