Properties

Label 370.2.v.a.289.4
Level $370$
Weight $2$
Character 370.289
Analytic conductor $2.954$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.v (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(10\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 289.4
Character \(\chi\) \(=\) 370.289
Dual form 370.2.v.a.169.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.939693 + 0.342020i) q^{2} +(-0.489052 + 1.34366i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.0464674 - 2.23559i) q^{5} -1.42989i q^{6} +(-1.53126 + 0.270002i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.731885 + 0.614125i) q^{9} +O(q^{10})\) \(q+(-0.939693 + 0.342020i) q^{2} +(-0.489052 + 1.34366i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.0464674 - 2.23559i) q^{5} -1.42989i q^{6} +(-1.53126 + 0.270002i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.731885 + 0.614125i) q^{9} +(0.808280 + 2.08487i) q^{10} +(-1.42259 + 2.46400i) q^{11} +(0.489052 + 1.34366i) q^{12} +(-2.83863 + 2.38189i) q^{13} +(1.34657 - 0.777441i) q^{14} +(3.02659 + 1.03088i) q^{15} +(0.173648 - 0.984808i) q^{16} +(5.50465 + 4.61895i) q^{17} +(-0.897790 - 0.326769i) q^{18} +(-0.620005 + 1.70345i) q^{19} +(-1.47260 - 1.68269i) q^{20} +(0.386074 - 2.18954i) q^{21} +(0.494061 - 2.80196i) q^{22} +(1.61600 + 2.79900i) q^{23} +(-0.919117 - 1.09536i) q^{24} +(-4.99568 + 0.207763i) q^{25} +(1.85278 - 3.20911i) q^{26} +(-4.89807 + 2.82790i) q^{27} +(-0.999459 + 1.19111i) q^{28} +(-7.33057 - 4.23230i) q^{29} +(-3.19665 + 0.0664433i) q^{30} +8.60827i q^{31} +(0.173648 + 0.984808i) q^{32} +(-2.61506 - 3.11650i) q^{33} +(-6.75246 - 2.45769i) q^{34} +(0.674767 + 3.41072i) q^{35} +0.955408 q^{36} +(5.84845 - 1.67201i) q^{37} -1.81277i q^{38} +(-1.81221 - 4.97901i) q^{39} +(1.95931 + 1.07755i) q^{40} +(3.11159 - 2.61093i) q^{41} +(0.386074 + 2.18954i) q^{42} -12.1533 q^{43} +(0.494061 + 2.80196i) q^{44} +(1.33892 - 1.66473i) q^{45} +(-2.47586 - 2.07749i) q^{46} +(1.72546 - 0.996195i) q^{47} +(1.23832 + 0.714946i) q^{48} +(-4.30599 + 1.56725i) q^{49} +(4.62335 - 1.90386i) q^{50} +(-8.89836 + 5.13747i) q^{51} +(-0.643464 + 3.64927i) q^{52} +(9.80891 + 1.72958i) q^{53} +(3.63548 - 4.33260i) q^{54} +(5.57459 + 3.06583i) q^{55} +(0.531801 - 1.46111i) q^{56} +(-1.98564 - 1.66615i) q^{57} +(8.33601 + 1.46986i) q^{58} +(4.36537 + 0.769733i) q^{59} +(2.98114 - 1.15575i) q^{60} +(2.54039 + 3.02752i) q^{61} +(-2.94420 - 8.08913i) q^{62} +(-1.28652 - 0.742773i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(5.45682 + 6.23531i) q^{65} +(3.52325 + 2.03415i) q^{66} +(-2.50556 + 0.441798i) q^{67} +7.18581 q^{68} +(-4.55121 + 0.802502i) q^{69} +(-1.80061 - 2.97424i) q^{70} +(10.6723 + 3.88442i) q^{71} +(-0.897790 + 0.326769i) q^{72} -8.43957i q^{73} +(-4.92389 + 3.57146i) q^{74} +(2.16398 - 6.81410i) q^{75} +(0.620005 + 1.70345i) q^{76} +(1.51307 - 4.15713i) q^{77} +(3.40585 + 4.05893i) q^{78} +(-1.88000 + 0.331495i) q^{79} +(-2.20969 - 0.342444i) q^{80} +(-0.906612 - 5.14165i) q^{81} +(-2.03095 + 3.51770i) q^{82} +(5.66798 - 6.75483i) q^{83} +(-1.11166 - 1.92545i) q^{84} +(10.0703 - 12.5207i) q^{85} +(11.4203 - 4.15666i) q^{86} +(9.27180 - 7.77997i) q^{87} +(-1.42259 - 2.46400i) q^{88} +(-5.96604 - 1.05197i) q^{89} +(-0.688802 + 2.02227i) q^{90} +(3.70356 - 4.41373i) q^{91} +(3.03709 + 1.10541i) q^{92} +(-11.5666 - 4.20989i) q^{93} +(-1.28068 + 1.52626i) q^{94} +(3.83702 + 1.30692i) q^{95} +(-1.40817 - 0.248298i) q^{96} +(2.61488 + 4.52911i) q^{97} +(3.51028 - 2.94547i) q^{98} +(-2.55438 + 0.929717i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9} + 9 q^{10} + 6 q^{11} - 3 q^{13} + 9 q^{14} + 18 q^{15} + 3 q^{17} + 12 q^{18} + 3 q^{19} - 6 q^{20} + 12 q^{21} - 3 q^{22} - 18 q^{23} - 15 q^{25} - 27 q^{26} + 6 q^{30} - 66 q^{33} + 21 q^{34} - 3 q^{35} - 72 q^{36} + 6 q^{37} + 12 q^{39} + 6 q^{40} - 57 q^{41} + 12 q^{42} + 60 q^{43} - 3 q^{44} + 45 q^{45} - 21 q^{46} - 18 q^{47} - 6 q^{49} + 36 q^{50} - 3 q^{52} - 6 q^{53} + 3 q^{55} + 30 q^{57} + 15 q^{58} - 12 q^{59} + 9 q^{60} + 42 q^{61} - 12 q^{62} - 9 q^{63} - 30 q^{64} - 30 q^{65} - 18 q^{67} - 24 q^{68} + 36 q^{69} + 18 q^{71} + 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} + 21 q^{77} + 6 q^{78} - 24 q^{79} - 36 q^{81} + 27 q^{82} + 30 q^{83} + 12 q^{84} + 33 q^{85} - 18 q^{86} - 30 q^{87} + 6 q^{88} + 3 q^{89} - 3 q^{90} + 57 q^{91} + 15 q^{92} + 60 q^{93} + 3 q^{94} - 150 q^{95} + 84 q^{97} - 6 q^{98} - 45 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.939693 + 0.342020i −0.664463 + 0.241845i
\(3\) −0.489052 + 1.34366i −0.282354 + 0.775762i 0.714726 + 0.699404i \(0.246551\pi\)
−0.997080 + 0.0763576i \(0.975671\pi\)
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) −0.0464674 2.23559i −0.0207808 0.999784i
\(6\) 1.42989i 0.583751i
\(7\) −1.53126 + 0.270002i −0.578762 + 0.102051i −0.455363 0.890306i \(-0.650491\pi\)
−0.123399 + 0.992357i \(0.539379\pi\)
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) 0.731885 + 0.614125i 0.243962 + 0.204708i
\(10\) 0.808280 + 2.08487i 0.255601 + 0.659294i
\(11\) −1.42259 + 2.46400i −0.428927 + 0.742924i −0.996778 0.0802075i \(-0.974442\pi\)
0.567851 + 0.823131i \(0.307775\pi\)
\(12\) 0.489052 + 1.34366i 0.141177 + 0.387881i
\(13\) −2.83863 + 2.38189i −0.787293 + 0.660618i −0.945074 0.326857i \(-0.894011\pi\)
0.157781 + 0.987474i \(0.449566\pi\)
\(14\) 1.34657 0.777441i 0.359885 0.207780i
\(15\) 3.02659 + 1.03088i 0.781462 + 0.266172i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) 5.50465 + 4.61895i 1.33507 + 1.12026i 0.982863 + 0.184340i \(0.0590148\pi\)
0.352212 + 0.935920i \(0.385430\pi\)
\(18\) −0.897790 0.326769i −0.211611 0.0770202i
\(19\) −0.620005 + 1.70345i −0.142239 + 0.390798i −0.990272 0.139145i \(-0.955565\pi\)
0.848033 + 0.529943i \(0.177787\pi\)
\(20\) −1.47260 1.68269i −0.329284 0.376261i
\(21\) 0.386074 2.18954i 0.0842483 0.477796i
\(22\) 0.494061 2.80196i 0.105334 0.597379i
\(23\) 1.61600 + 2.79900i 0.336960 + 0.583632i 0.983859 0.178944i \(-0.0572679\pi\)
−0.646899 + 0.762575i \(0.723935\pi\)
\(24\) −0.919117 1.09536i −0.187614 0.223590i
\(25\) −4.99568 + 0.207763i −0.999136 + 0.0415527i
\(26\) 1.85278 3.20911i 0.363360 0.629359i
\(27\) −4.89807 + 2.82790i −0.942635 + 0.544230i
\(28\) −0.999459 + 1.19111i −0.188880 + 0.225098i
\(29\) −7.33057 4.23230i −1.36125 0.785919i −0.371462 0.928448i \(-0.621143\pi\)
−0.989791 + 0.142529i \(0.954477\pi\)
\(30\) −3.19665 + 0.0664433i −0.583625 + 0.0121308i
\(31\) 8.60827i 1.54609i 0.634351 + 0.773045i \(0.281268\pi\)
−0.634351 + 0.773045i \(0.718732\pi\)
\(32\) 0.173648 + 0.984808i 0.0306970 + 0.174091i
\(33\) −2.61506 3.11650i −0.455223 0.542513i
\(34\) −6.75246 2.45769i −1.15804 0.421491i
\(35\) 0.674767 + 3.41072i 0.114056 + 0.576516i
\(36\) 0.955408 0.159235
\(37\) 5.84845 1.67201i 0.961479 0.274877i
\(38\) 1.81277i 0.294071i
\(39\) −1.81221 4.97901i −0.290186 0.797280i
\(40\) 1.95931 + 1.07755i 0.309794 + 0.170376i
\(41\) 3.11159 2.61093i 0.485949 0.407759i −0.366623 0.930370i \(-0.619486\pi\)
0.852572 + 0.522610i \(0.175042\pi\)
\(42\) 0.386074 + 2.18954i 0.0595726 + 0.337853i
\(43\) −12.1533 −1.85335 −0.926677 0.375859i \(-0.877348\pi\)
−0.926677 + 0.375859i \(0.877348\pi\)
\(44\) 0.494061 + 2.80196i 0.0744825 + 0.422411i
\(45\) 1.33892 1.66473i 0.199594 0.248163i
\(46\) −2.47586 2.07749i −0.365046 0.306310i
\(47\) 1.72546 0.996195i 0.251684 0.145310i −0.368851 0.929489i \(-0.620249\pi\)
0.620535 + 0.784179i \(0.286915\pi\)
\(48\) 1.23832 + 0.714946i 0.178737 + 0.103194i
\(49\) −4.30599 + 1.56725i −0.615142 + 0.223893i
\(50\) 4.62335 1.90386i 0.653840 0.269246i
\(51\) −8.89836 + 5.13747i −1.24602 + 0.719390i
\(52\) −0.643464 + 3.64927i −0.0892325 + 0.506062i
\(53\) 9.80891 + 1.72958i 1.34736 + 0.237575i 0.800340 0.599546i \(-0.204652\pi\)
0.547017 + 0.837121i \(0.315763\pi\)
\(54\) 3.63548 4.33260i 0.494727 0.589592i
\(55\) 5.57459 + 3.06583i 0.751677 + 0.413396i
\(56\) 0.531801 1.46111i 0.0710649 0.195249i
\(57\) −1.98564 1.66615i −0.263005 0.220687i
\(58\) 8.33601 + 1.46986i 1.09457 + 0.193003i
\(59\) 4.36537 + 0.769733i 0.568323 + 0.100211i 0.450424 0.892815i \(-0.351273\pi\)
0.117899 + 0.993026i \(0.462384\pi\)
\(60\) 2.98114 1.15575i 0.384863 0.149207i
\(61\) 2.54039 + 3.02752i 0.325263 + 0.387634i 0.903752 0.428057i \(-0.140802\pi\)
−0.578488 + 0.815691i \(0.696357\pi\)
\(62\) −2.94420 8.08913i −0.373914 1.02732i
\(63\) −1.28652 0.742773i −0.162086 0.0935807i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) 5.45682 + 6.23531i 0.676836 + 0.773395i
\(66\) 3.52325 + 2.03415i 0.433683 + 0.250387i
\(67\) −2.50556 + 0.441798i −0.306103 + 0.0539742i −0.324590 0.945855i \(-0.605226\pi\)
0.0184869 + 0.999829i \(0.494115\pi\)
\(68\) 7.18581 0.871408
\(69\) −4.55121 + 0.802502i −0.547902 + 0.0966098i
\(70\) −1.80061 2.97424i −0.215214 0.355490i
\(71\) 10.6723 + 3.88442i 1.26657 + 0.460996i 0.885970 0.463742i \(-0.153494\pi\)
0.380605 + 0.924738i \(0.375716\pi\)
\(72\) −0.897790 + 0.326769i −0.105806 + 0.0385101i
\(73\) 8.43957i 0.987777i −0.869525 0.493889i \(-0.835575\pi\)
0.869525 0.493889i \(-0.164425\pi\)
\(74\) −4.92389 + 3.57146i −0.572390 + 0.415174i
\(75\) 2.16398 6.81410i 0.249875 0.786825i
\(76\) 0.620005 + 1.70345i 0.0711195 + 0.195399i
\(77\) 1.51307 4.15713i 0.172430 0.473749i
\(78\) 3.40585 + 4.05893i 0.385636 + 0.459583i
\(79\) −1.88000 + 0.331495i −0.211517 + 0.0372961i −0.278402 0.960465i \(-0.589805\pi\)
0.0668857 + 0.997761i \(0.478694\pi\)
\(80\) −2.20969 0.342444i −0.247051 0.0382864i
\(81\) −0.906612 5.14165i −0.100735 0.571295i
\(82\) −2.03095 + 3.51770i −0.224280 + 0.388465i
\(83\) 5.66798 6.75483i 0.622141 0.741439i −0.359296 0.933224i \(-0.616983\pi\)
0.981437 + 0.191784i \(0.0614275\pi\)
\(84\) −1.11166 1.92545i −0.121292 0.210083i
\(85\) 10.0703 12.5207i 1.09227 1.35807i
\(86\) 11.4203 4.15666i 1.23148 0.448224i
\(87\) 9.27180 7.77997i 0.994042 0.834100i
\(88\) −1.42259 2.46400i −0.151649 0.262663i
\(89\) −5.96604 1.05197i −0.632399 0.111509i −0.151745 0.988420i \(-0.548489\pi\)
−0.480653 + 0.876911i \(0.659601\pi\)
\(90\) −0.688802 + 2.02227i −0.0726061 + 0.213166i
\(91\) 3.70356 4.41373i 0.388238 0.462685i
\(92\) 3.03709 + 1.10541i 0.316639 + 0.115247i
\(93\) −11.5666 4.20989i −1.19940 0.436545i
\(94\) −1.28068 + 1.52626i −0.132092 + 0.157422i
\(95\) 3.83702 + 1.30692i 0.393670 + 0.134087i
\(96\) −1.40817 0.248298i −0.143721 0.0253418i
\(97\) 2.61488 + 4.52911i 0.265501 + 0.459862i 0.967695 0.252124i \(-0.0811292\pi\)
−0.702194 + 0.711986i \(0.747796\pi\)
\(98\) 3.51028 2.94547i 0.354592 0.297538i
\(99\) −2.55438 + 0.929717i −0.256724 + 0.0934401i
\(100\) −3.69337 + 3.37032i −0.369337 + 0.337032i
\(101\) −1.43968 2.49360i −0.143254 0.248123i 0.785466 0.618904i \(-0.212423\pi\)
−0.928720 + 0.370782i \(0.879090\pi\)
\(102\) 6.60460 7.87106i 0.653953 0.779351i
\(103\) 5.05618 8.75755i 0.498200 0.862907i −0.501798 0.864985i \(-0.667328\pi\)
0.999998 + 0.00207744i \(0.000661271\pi\)
\(104\) −0.643464 3.64927i −0.0630969 0.357840i
\(105\) −4.91283 0.761360i −0.479444 0.0743011i
\(106\) −9.80891 + 1.72958i −0.952725 + 0.167991i
\(107\) 12.6009 + 15.0171i 1.21817 + 1.45176i 0.853876 + 0.520477i \(0.174246\pi\)
0.364296 + 0.931283i \(0.381310\pi\)
\(108\) −1.93440 + 5.31472i −0.186138 + 0.511409i
\(109\) −4.38292 12.0420i −0.419807 1.15341i −0.951815 0.306672i \(-0.900785\pi\)
0.532008 0.846739i \(-0.321438\pi\)
\(110\) −6.28697 0.974315i −0.599439 0.0928973i
\(111\) −0.613584 + 8.67603i −0.0582388 + 0.823492i
\(112\) 1.55488i 0.146923i
\(113\) −8.58094 + 3.12321i −0.807227 + 0.293807i −0.712478 0.701695i \(-0.752427\pi\)
−0.0947492 + 0.995501i \(0.530205\pi\)
\(114\) 2.43575 + 0.886541i 0.228129 + 0.0830321i
\(115\) 6.18231 3.74278i 0.576504 0.349016i
\(116\) −8.33601 + 1.46986i −0.773979 + 0.136473i
\(117\) −3.54033 −0.327303
\(118\) −4.36537 + 0.769733i −0.401865 + 0.0708596i
\(119\) −9.67618 5.58655i −0.887014 0.512118i
\(120\) −2.40606 + 2.10566i −0.219643 + 0.192220i
\(121\) 1.45247 + 2.51575i 0.132043 + 0.228705i
\(122\) −3.42266 1.97607i −0.309873 0.178905i
\(123\) 1.98648 + 5.45780i 0.179115 + 0.492113i
\(124\) 5.53329 + 6.59432i 0.496904 + 0.592187i
\(125\) 0.696609 + 11.1586i 0.0623066 + 0.998057i
\(126\) 1.46298 + 0.257963i 0.130332 + 0.0229811i
\(127\) −8.76131 1.54486i −0.777441 0.137084i −0.229172 0.973386i \(-0.573602\pi\)
−0.548269 + 0.836302i \(0.684713\pi\)
\(128\) 0.766044 + 0.642788i 0.0677094 + 0.0568149i
\(129\) 5.94357 16.3298i 0.523302 1.43776i
\(130\) −7.26034 3.99293i −0.636774 0.350203i
\(131\) 1.94868 2.32235i 0.170257 0.202904i −0.674168 0.738578i \(-0.735498\pi\)
0.844425 + 0.535673i \(0.179942\pi\)
\(132\) −4.00650 0.706454i −0.348721 0.0614889i
\(133\) 0.489453 2.77583i 0.0424410 0.240695i
\(134\) 2.20335 1.27211i 0.190341 0.109893i
\(135\) 6.54962 + 10.8187i 0.563702 + 0.931121i
\(136\) −6.75246 + 2.45769i −0.579018 + 0.210745i
\(137\) 2.19322 + 1.26625i 0.187379 + 0.108183i 0.590755 0.806851i \(-0.298830\pi\)
−0.403376 + 0.915034i \(0.632163\pi\)
\(138\) 4.00227 2.31071i 0.340696 0.196701i
\(139\) −15.9598 13.3919i −1.35369 1.13588i −0.977875 0.209192i \(-0.932917\pi\)
−0.375820 0.926693i \(-0.622639\pi\)
\(140\) 2.70927 + 2.17903i 0.228975 + 0.184161i
\(141\) 0.494707 + 2.80562i 0.0416618 + 0.236276i
\(142\) −11.3573 −0.953082
\(143\) −1.83077 10.3828i −0.153097 0.868256i
\(144\) 0.731885 0.614125i 0.0609904 0.0511770i
\(145\) −9.12105 + 16.5848i −0.757462 + 1.37729i
\(146\) 2.88650 + 7.93061i 0.238889 + 0.656342i
\(147\) 6.55226i 0.540421i
\(148\) 3.40543 5.04015i 0.279924 0.414297i
\(149\) 18.3359 1.50214 0.751069 0.660224i \(-0.229538\pi\)
0.751069 + 0.660224i \(0.229538\pi\)
\(150\) 0.297079 + 7.14329i 0.0242564 + 0.583247i
\(151\) 15.7172 + 5.72058i 1.27904 + 0.465534i 0.890116 0.455734i \(-0.150623\pi\)
0.388928 + 0.921268i \(0.372845\pi\)
\(152\) −1.16523 1.38867i −0.0945125 0.112636i
\(153\) 1.19216 + 6.76108i 0.0963806 + 0.546601i
\(154\) 4.42392i 0.356490i
\(155\) 19.2445 0.400004i 1.54576 0.0321291i
\(156\) −4.58868 2.64928i −0.367389 0.212112i
\(157\) 2.96951 3.53892i 0.236993 0.282437i −0.634419 0.772989i \(-0.718761\pi\)
0.871412 + 0.490553i \(0.163205\pi\)
\(158\) 1.65324 0.954501i 0.131525 0.0759361i
\(159\) −7.12103 + 12.3340i −0.564734 + 0.978148i
\(160\) 2.19355 0.433967i 0.173416 0.0343081i
\(161\) −3.23026 3.84967i −0.254580 0.303397i
\(162\) 2.61049 + 4.52149i 0.205099 + 0.355242i
\(163\) −2.01593 + 11.4329i −0.157900 + 0.895496i 0.798186 + 0.602411i \(0.205793\pi\)
−0.956086 + 0.293085i \(0.905318\pi\)
\(164\) 0.705340 4.00018i 0.0550778 0.312362i
\(165\) −6.84569 + 5.99099i −0.532936 + 0.466398i
\(166\) −3.01587 + 8.28603i −0.234077 + 0.643121i
\(167\) −7.10485 2.58595i −0.549789 0.200107i 0.0521635 0.998639i \(-0.483388\pi\)
−0.601953 + 0.798532i \(0.705611\pi\)
\(168\) 1.70316 + 1.42912i 0.131401 + 0.110259i
\(169\) 0.126972 0.720095i 0.00976709 0.0553919i
\(170\) −5.18061 + 15.2099i −0.397335 + 1.16655i
\(171\) −1.49990 + 0.865970i −0.114700 + 0.0662223i
\(172\) −9.30993 + 7.81196i −0.709876 + 0.595656i
\(173\) −5.75668 15.8164i −0.437673 1.20250i −0.941002 0.338401i \(-0.890114\pi\)
0.503329 0.864095i \(-0.332108\pi\)
\(174\) −6.05174 + 10.4819i −0.458781 + 0.794632i
\(175\) 7.59359 1.66699i 0.574021 0.126012i
\(176\) 2.17954 + 1.82885i 0.164289 + 0.137855i
\(177\) −3.16915 + 5.48913i −0.238208 + 0.412588i
\(178\) 5.96604 1.05197i 0.447174 0.0788488i
\(179\) 14.9502i 1.11743i 0.829358 + 0.558717i \(0.188706\pi\)
−0.829358 + 0.558717i \(0.811294\pi\)
\(180\) −0.0443953 2.13590i −0.00330903 0.159200i
\(181\) 0.267559 0.224508i 0.0198875 0.0166876i −0.632790 0.774324i \(-0.718090\pi\)
0.652677 + 0.757636i \(0.273646\pi\)
\(182\) −1.97062 + 5.41424i −0.146072 + 0.401330i
\(183\) −5.31033 + 1.93280i −0.392551 + 0.142877i
\(184\) −3.23201 −0.238267
\(185\) −4.00968 12.9970i −0.294798 0.955560i
\(186\) 12.3089 0.902532
\(187\) −19.2120 + 6.99258i −1.40492 + 0.511348i
\(188\) 0.681438 1.87223i 0.0496989 0.136547i
\(189\) 6.73668 5.65275i 0.490021 0.411177i
\(190\) −4.05261 + 0.0842348i −0.294007 + 0.00611103i
\(191\) 18.2632i 1.32148i −0.750615 0.660740i \(-0.770243\pi\)
0.750615 0.660740i \(-0.229757\pi\)
\(192\) 1.40817 0.248298i 0.101626 0.0179194i
\(193\) −10.4784 + 18.1491i −0.754251 + 1.30640i 0.191495 + 0.981494i \(0.438666\pi\)
−0.945746 + 0.324907i \(0.894667\pi\)
\(194\) −4.00624 3.36163i −0.287631 0.241351i
\(195\) −11.0468 + 4.28272i −0.791078 + 0.306692i
\(196\) −2.29117 + 3.96842i −0.163655 + 0.283459i
\(197\) −0.950843 2.61242i −0.0677448 0.186127i 0.901201 0.433402i \(-0.142687\pi\)
−0.968945 + 0.247275i \(0.920465\pi\)
\(198\) 2.08235 1.74730i 0.147986 0.124175i
\(199\) 17.2058 9.93379i 1.21969 0.704188i 0.254838 0.966984i \(-0.417978\pi\)
0.964851 + 0.262796i \(0.0846447\pi\)
\(200\) 2.31791 4.43027i 0.163901 0.313267i
\(201\) 0.631723 3.58268i 0.0445583 0.252703i
\(202\) 2.20572 + 1.85082i 0.155194 + 0.130223i
\(203\) 12.3677 + 4.50149i 0.868045 + 0.315942i
\(204\) −3.51424 + 9.65528i −0.246046 + 0.676005i
\(205\) −5.98155 6.83490i −0.417770 0.477370i
\(206\) −1.75599 + 9.95872i −0.122346 + 0.693857i
\(207\) −0.536206 + 3.04097i −0.0372689 + 0.211362i
\(208\) 1.85278 + 3.20911i 0.128467 + 0.222512i
\(209\) −3.31529 3.95101i −0.229323 0.273297i
\(210\) 4.87695 0.964844i 0.336542 0.0665806i
\(211\) −0.245357 + 0.424971i −0.0168911 + 0.0292562i −0.874347 0.485301i \(-0.838710\pi\)
0.857456 + 0.514557i \(0.172044\pi\)
\(212\) 8.62581 4.98011i 0.592423 0.342036i
\(213\) −10.4387 + 12.4403i −0.715246 + 0.852397i
\(214\) −16.9771 9.80173i −1.16053 0.670033i
\(215\) 0.564729 + 27.1696i 0.0385142 + 1.85295i
\(216\) 5.65581i 0.384829i
\(217\) −2.32425 13.1815i −0.157781 0.894818i
\(218\) 8.23719 + 9.81670i 0.557893 + 0.664871i
\(219\) 11.3399 + 4.12739i 0.766280 + 0.278903i
\(220\) 6.24106 1.23471i 0.420772 0.0832444i
\(221\) −26.6275 −1.79116
\(222\) −2.39080 8.36265i −0.160460 0.561265i
\(223\) 4.24532i 0.284288i 0.989846 + 0.142144i \(0.0453996\pi\)
−0.989846 + 0.142144i \(0.954600\pi\)
\(224\) −0.531801 1.46111i −0.0355324 0.0976246i
\(225\) −3.78386 2.91591i −0.252257 0.194394i
\(226\) 6.99525 5.86971i 0.465317 0.390447i
\(227\) 0.813626 + 4.61430i 0.0540022 + 0.306262i 0.999831 0.0184052i \(-0.00585888\pi\)
−0.945828 + 0.324667i \(0.894748\pi\)
\(228\) −2.59207 −0.171664
\(229\) 3.30354 + 18.7353i 0.218304 + 1.23807i 0.875080 + 0.483979i \(0.160809\pi\)
−0.656775 + 0.754086i \(0.728080\pi\)
\(230\) −4.52937 + 5.63153i −0.298658 + 0.371332i
\(231\) 4.84579 + 4.06610i 0.318830 + 0.267530i
\(232\) 7.33057 4.23230i 0.481275 0.277864i
\(233\) −10.0655 5.81130i −0.659410 0.380711i 0.132642 0.991164i \(-0.457654\pi\)
−0.792052 + 0.610453i \(0.790987\pi\)
\(234\) 3.32682 1.21086i 0.217481 0.0791566i
\(235\) −2.30726 3.81112i −0.150509 0.248610i
\(236\) 3.83884 2.21636i 0.249887 0.144273i
\(237\) 0.474002 2.68820i 0.0307897 0.174617i
\(238\) 11.0033 + 1.94019i 0.713241 + 0.125764i
\(239\) 3.74309 4.46084i 0.242120 0.288548i −0.631276 0.775559i \(-0.717468\pi\)
0.873396 + 0.487011i \(0.161913\pi\)
\(240\) 1.54078 2.80160i 0.0994570 0.180842i
\(241\) 7.79025 21.4035i 0.501814 1.37872i −0.387687 0.921791i \(-0.626726\pi\)
0.889501 0.456933i \(-0.151052\pi\)
\(242\) −2.22531 1.86726i −0.143048 0.120032i
\(243\) −9.35764 1.65000i −0.600293 0.105848i
\(244\) 3.89210 + 0.686282i 0.249166 + 0.0439347i
\(245\) 3.70382 + 9.55359i 0.236628 + 0.610356i
\(246\) −3.73335 4.44924i −0.238030 0.283673i
\(247\) −2.29747 6.31224i −0.146184 0.401638i
\(248\) −7.45498 4.30413i −0.473392 0.273313i
\(249\) 6.30426 + 10.9193i 0.399516 + 0.691982i
\(250\) −4.47107 10.2474i −0.282775 0.648103i
\(251\) −15.6683 9.04612i −0.988977 0.570986i −0.0840085 0.996465i \(-0.526772\pi\)
−0.904968 + 0.425479i \(0.860106\pi\)
\(252\) −1.46298 + 0.257963i −0.0921590 + 0.0162501i
\(253\) −9.19565 −0.578126
\(254\) 8.76131 1.54486i 0.549734 0.0969329i
\(255\) 11.8987 + 19.6543i 0.745128 + 1.23080i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) −6.51169 + 2.37006i −0.406188 + 0.147840i −0.537030 0.843563i \(-0.680454\pi\)
0.130843 + 0.991403i \(0.458232\pi\)
\(258\) 17.3778i 1.08190i
\(259\) −8.50405 + 4.13938i −0.528416 + 0.257208i
\(260\) 8.18815 + 1.26895i 0.507807 + 0.0786968i
\(261\) −2.76597 7.59944i −0.171209 0.470394i
\(262\) −1.03687 + 2.84878i −0.0640581 + 0.175998i
\(263\) −8.36450 9.96842i −0.515777 0.614679i 0.443800 0.896126i \(-0.353630\pi\)
−0.959577 + 0.281447i \(0.909186\pi\)
\(264\) 4.00650 0.706454i 0.246583 0.0434792i
\(265\) 3.41082 22.0090i 0.209525 1.35200i
\(266\) 0.489453 + 2.77583i 0.0300103 + 0.170197i
\(267\) 4.33120 7.50185i 0.265065 0.459106i
\(268\) −1.63539 + 1.94898i −0.0998972 + 0.119053i
\(269\) −0.624977 1.08249i −0.0381055 0.0660007i 0.846344 0.532637i \(-0.178799\pi\)
−0.884449 + 0.466637i \(0.845466\pi\)
\(270\) −9.85483 7.92611i −0.599746 0.482368i
\(271\) 4.12647 1.50191i 0.250665 0.0912346i −0.213632 0.976914i \(-0.568529\pi\)
0.464297 + 0.885680i \(0.346307\pi\)
\(272\) 5.50465 4.61895i 0.333769 0.280065i
\(273\) 4.11932 + 7.13486i 0.249312 + 0.431822i
\(274\) −2.49404 0.439766i −0.150670 0.0265672i
\(275\) 6.59488 12.6049i 0.397686 0.760105i
\(276\) −2.97059 + 3.54021i −0.178809 + 0.213096i
\(277\) 2.72070 + 0.990254i 0.163471 + 0.0594986i 0.422459 0.906382i \(-0.361167\pi\)
−0.258988 + 0.965880i \(0.583389\pi\)
\(278\) 19.5776 + 7.12567i 1.17419 + 0.427369i
\(279\) −5.28655 + 6.30026i −0.316497 + 0.377187i
\(280\) −3.29115 1.12099i −0.196684 0.0669921i
\(281\) 15.1608 + 2.67326i 0.904419 + 0.159474i 0.606468 0.795108i \(-0.292586\pi\)
0.297951 + 0.954581i \(0.403697\pi\)
\(282\) −1.42445 2.46722i −0.0848249 0.146921i
\(283\) 11.1221 9.33252i 0.661138 0.554761i −0.249289 0.968429i \(-0.580197\pi\)
0.910428 + 0.413668i \(0.135753\pi\)
\(284\) 10.6723 3.88442i 0.633287 0.230498i
\(285\) −3.63256 + 4.51649i −0.215174 + 0.267534i
\(286\) 5.27150 + 9.13051i 0.311710 + 0.539898i
\(287\) −4.05969 + 4.83816i −0.239636 + 0.285587i
\(288\) −0.477704 + 0.827408i −0.0281490 + 0.0487555i
\(289\) 6.01446 + 34.1097i 0.353792 + 2.00645i
\(290\) 2.89865 18.7042i 0.170215 1.09835i
\(291\) −7.36440 + 1.29854i −0.431709 + 0.0761219i
\(292\) −5.42485 6.46509i −0.317466 0.378341i
\(293\) 7.23516 19.8784i 0.422682 1.16131i −0.527483 0.849565i \(-0.676864\pi\)
0.950166 0.311745i \(-0.100914\pi\)
\(294\) 2.24100 + 6.15711i 0.130698 + 0.359090i
\(295\) 1.51796 9.79493i 0.0883788 0.570283i
\(296\) −1.47622 + 5.90091i −0.0858036 + 0.342984i
\(297\) 16.0918i 0.933741i
\(298\) −17.2301 + 6.27126i −0.998115 + 0.363284i
\(299\) −11.2541 4.09617i −0.650844 0.236888i
\(300\) −2.72231 6.61089i −0.157173 0.381680i
\(301\) 18.6098 3.28141i 1.07265 0.189137i
\(302\) −16.7259 −0.962465
\(303\) 4.05463 0.714941i 0.232933 0.0410723i
\(304\) 1.56991 + 0.906387i 0.0900404 + 0.0519849i
\(305\) 6.65023 5.81993i 0.380791 0.333248i
\(306\) −3.43269 5.94560i −0.196234 0.339887i
\(307\) −9.57823 5.52999i −0.546659 0.315613i 0.201115 0.979568i \(-0.435544\pi\)
−0.747773 + 0.663954i \(0.768877\pi\)
\(308\) −1.51307 4.15713i −0.0862152 0.236874i
\(309\) 9.29443 + 11.0767i 0.528742 + 0.630130i
\(310\) −17.9471 + 6.95789i −1.01933 + 0.395182i
\(311\) −3.21879 0.567560i −0.182521 0.0321834i 0.0816405 0.996662i \(-0.473984\pi\)
−0.264161 + 0.964478i \(0.585095\pi\)
\(312\) 5.21806 + 0.920085i 0.295414 + 0.0520895i
\(313\) 15.4060 + 12.9272i 0.870800 + 0.730688i 0.964267 0.264934i \(-0.0853502\pi\)
−0.0934661 + 0.995622i \(0.529795\pi\)
\(314\) −1.58004 + 4.34113i −0.0891670 + 0.244984i
\(315\) −1.60075 + 2.91064i −0.0901922 + 0.163996i
\(316\) −1.22708 + 1.46238i −0.0690288 + 0.0822654i
\(317\) 5.67633 + 1.00089i 0.318814 + 0.0562156i 0.330765 0.943713i \(-0.392693\pi\)
−0.0119510 + 0.999929i \(0.503804\pi\)
\(318\) 2.47311 14.0257i 0.138685 0.786521i
\(319\) 20.8568 12.0417i 1.16776 0.674205i
\(320\) −1.91284 + 1.15803i −0.106931 + 0.0647361i
\(321\) −26.3404 + 9.58711i −1.47018 + 0.535100i
\(322\) 4.35211 + 2.51269i 0.242534 + 0.140027i
\(323\) −11.2811 + 6.51313i −0.627695 + 0.362400i
\(324\) −3.99950 3.35598i −0.222194 0.186443i
\(325\) 13.6860 12.4889i 0.759163 0.692761i
\(326\) −2.01593 11.4329i −0.111652 0.633211i
\(327\) 18.3238 1.01331
\(328\) 0.705340 + 4.00018i 0.0389459 + 0.220873i
\(329\) −2.37315 + 1.99131i −0.130836 + 0.109785i
\(330\) 4.38380 7.97106i 0.241320 0.438792i
\(331\) 1.98439 + 5.45207i 0.109072 + 0.299673i 0.982206 0.187808i \(-0.0601382\pi\)
−0.873134 + 0.487481i \(0.837916\pi\)
\(332\) 8.81781i 0.483940i
\(333\) 5.30722 + 2.36796i 0.290834 + 0.129763i
\(334\) 7.56082 0.413710
\(335\) 1.10410 + 5.58086i 0.0603236 + 0.304915i
\(336\) −2.08923 0.760418i −0.113977 0.0414842i
\(337\) 12.2492 + 14.5980i 0.667255 + 0.795203i 0.988408 0.151824i \(-0.0485147\pi\)
−0.321153 + 0.947027i \(0.604070\pi\)
\(338\) 0.126972 + 0.720095i 0.00690638 + 0.0391680i
\(339\) 13.0573i 0.709174i
\(340\) −0.333906 16.0645i −0.0181086 0.871220i
\(341\) −21.2108 12.2460i −1.14863 0.663161i
\(342\) 1.11327 1.32674i 0.0601987 0.0717420i
\(343\) 15.5964 9.00459i 0.842127 0.486202i
\(344\) 6.07663 10.5250i 0.327630 0.567471i
\(345\) 2.00554 + 10.1373i 0.107975 + 0.545776i
\(346\) 10.8190 + 12.8936i 0.581634 + 0.693165i
\(347\) 5.71974 + 9.90689i 0.307052 + 0.531830i 0.977716 0.209932i \(-0.0673241\pi\)
−0.670664 + 0.741761i \(0.733991\pi\)
\(348\) 2.10175 11.9196i 0.112665 0.638958i
\(349\) −0.215685 + 1.22321i −0.0115454 + 0.0654771i −0.990036 0.140814i \(-0.955028\pi\)
0.978491 + 0.206291i \(0.0661393\pi\)
\(350\) −6.56550 + 4.16361i −0.350941 + 0.222555i
\(351\) 7.16804 19.6940i 0.382602 1.05119i
\(352\) −2.67360 0.973110i −0.142503 0.0518669i
\(353\) 4.69752 + 3.94169i 0.250024 + 0.209795i 0.759183 0.650878i \(-0.225599\pi\)
−0.509159 + 0.860673i \(0.670043\pi\)
\(354\) 1.10063 6.24201i 0.0584981 0.331759i
\(355\) 8.18803 24.0394i 0.434576 1.27588i
\(356\) −5.24645 + 3.02904i −0.278061 + 0.160539i
\(357\) 12.2386 10.2694i 0.647734 0.543513i
\(358\) −5.11329 14.0486i −0.270246 0.742494i
\(359\) −12.8727 + 22.2961i −0.679394 + 1.17675i 0.295769 + 0.955259i \(0.404424\pi\)
−0.975164 + 0.221486i \(0.928909\pi\)
\(360\) 0.772238 + 1.99190i 0.0407005 + 0.104982i
\(361\) 12.0375 + 10.1007i 0.633553 + 0.531614i
\(362\) −0.174637 + 0.302479i −0.00917869 + 0.0158980i
\(363\) −4.09064 + 0.721291i −0.214703 + 0.0378580i
\(364\) 5.76171i 0.301996i
\(365\) −18.8674 + 0.392165i −0.987564 + 0.0205268i
\(366\) 4.32902 3.63248i 0.226282 0.189873i
\(367\) −1.32496 + 3.64030i −0.0691625 + 0.190022i −0.969458 0.245256i \(-0.921128\pi\)
0.900296 + 0.435279i \(0.143350\pi\)
\(368\) 3.03709 1.10541i 0.158319 0.0576236i
\(369\) 3.88077 0.202025
\(370\) 8.21311 + 10.8418i 0.426979 + 0.563639i
\(371\) −15.4870 −0.804044
\(372\) −11.5666 + 4.20989i −0.599699 + 0.218273i
\(373\) −9.40977 + 25.8531i −0.487219 + 1.33862i 0.415968 + 0.909379i \(0.363443\pi\)
−0.903188 + 0.429245i \(0.858780\pi\)
\(374\) 15.6617 13.1418i 0.809849 0.679544i
\(375\) −15.3341 4.52114i −0.791847 0.233471i
\(376\) 1.99239i 0.102750i
\(377\) 30.8896 5.44668i 1.59090 0.280518i
\(378\) −4.39706 + 7.61592i −0.226160 + 0.391721i
\(379\) 17.3062 + 14.5217i 0.888962 + 0.745928i 0.968002 0.250944i \(-0.0807410\pi\)
−0.0790397 + 0.996871i \(0.525185\pi\)
\(380\) 3.77940 1.46523i 0.193879 0.0751647i
\(381\) 6.36050 11.0167i 0.325858 0.564403i
\(382\) 6.24639 + 17.1618i 0.319593 + 0.878074i
\(383\) 8.57925 7.19885i 0.438379 0.367844i −0.396723 0.917938i \(-0.629853\pi\)
0.835103 + 0.550094i \(0.185408\pi\)
\(384\) −1.23832 + 0.714946i −0.0631929 + 0.0364844i
\(385\) −9.36392 3.18943i −0.477230 0.162548i
\(386\) 3.63910 20.6384i 0.185226 1.05047i
\(387\) −8.89478 7.46361i −0.452147 0.379397i
\(388\) 4.91437 + 1.78869i 0.249490 + 0.0908068i
\(389\) 3.72359 10.2305i 0.188794 0.518707i −0.808796 0.588089i \(-0.799881\pi\)
0.997590 + 0.0693822i \(0.0221028\pi\)
\(390\) 8.91582 7.80267i 0.451470 0.395103i
\(391\) −4.03291 + 22.8718i −0.203953 + 1.15667i
\(392\) 0.795715 4.51273i 0.0401897 0.227927i
\(393\) 2.16744 + 3.75411i 0.109333 + 0.189370i
\(394\) 1.78700 + 2.12966i 0.0900278 + 0.107291i
\(395\) 0.828444 + 4.18750i 0.0416835 + 0.210696i
\(396\) −1.35916 + 2.35413i −0.0683001 + 0.118299i
\(397\) 25.2983 14.6060i 1.26969 0.733053i 0.294757 0.955572i \(-0.404761\pi\)
0.974928 + 0.222519i \(0.0714279\pi\)
\(398\) −12.7706 + 15.2194i −0.640134 + 0.762882i
\(399\) 3.49040 + 2.01518i 0.174738 + 0.100885i
\(400\) −0.662884 + 4.95586i −0.0331442 + 0.247793i
\(401\) 8.69852i 0.434384i 0.976129 + 0.217192i \(0.0696897\pi\)
−0.976129 + 0.217192i \(0.930310\pi\)
\(402\) 0.631723 + 3.58268i 0.0315075 + 0.178688i
\(403\) −20.5040 24.4357i −1.02137 1.21723i
\(404\) −2.70572 0.984801i −0.134615 0.0489957i
\(405\) −11.4525 + 2.26573i −0.569078 + 0.112585i
\(406\) −13.1615 −0.653193
\(407\) −4.20012 + 16.7892i −0.208192 + 0.832208i
\(408\) 10.2749i 0.508685i
\(409\) 5.97622 + 16.4195i 0.295505 + 0.811893i 0.995237 + 0.0974873i \(0.0310805\pi\)
−0.699732 + 0.714405i \(0.746697\pi\)
\(410\) 7.95850 + 4.37689i 0.393042 + 0.216159i
\(411\) −2.77401 + 2.32767i −0.136832 + 0.114816i
\(412\) −1.75599 9.95872i −0.0865115 0.490631i
\(413\) −6.89235 −0.339150
\(414\) −0.536206 3.04097i −0.0263531 0.149456i
\(415\) −15.3644 12.3574i −0.754208 0.606599i
\(416\) −2.83863 2.38189i −0.139175 0.116782i
\(417\) 25.7993 14.8952i 1.26340 0.729423i
\(418\) 4.46667 + 2.57884i 0.218472 + 0.126135i
\(419\) −1.31973 + 0.480344i −0.0644733 + 0.0234663i −0.374055 0.927406i \(-0.622033\pi\)
0.309582 + 0.950873i \(0.399811\pi\)
\(420\) −4.25284 + 2.57467i −0.207517 + 0.125631i
\(421\) −21.7213 + 12.5408i −1.05863 + 0.611200i −0.925053 0.379838i \(-0.875980\pi\)
−0.133577 + 0.991038i \(0.542646\pi\)
\(422\) 0.0852117 0.483260i 0.00414804 0.0235247i
\(423\) 1.87463 + 0.330547i 0.0911475 + 0.0160718i
\(424\) −6.40231 + 7.62998i −0.310924 + 0.370544i
\(425\) −28.4591 21.9311i −1.38047 1.06382i
\(426\) 5.55430 15.2603i 0.269107 0.739364i
\(427\) −4.70743 3.95000i −0.227809 0.191154i
\(428\) 19.3056 + 3.40411i 0.933173 + 0.164544i
\(429\) 14.8463 + 2.61781i 0.716788 + 0.126389i
\(430\) −9.82323 25.3380i −0.473718 1.22190i
\(431\) 17.9892 + 21.4387i 0.866510 + 1.03267i 0.999138 + 0.0415008i \(0.0132139\pi\)
−0.132628 + 0.991166i \(0.542342\pi\)
\(432\) 1.93440 + 5.31472i 0.0930689 + 0.255705i
\(433\) 13.7254 + 7.92439i 0.659603 + 0.380822i 0.792126 0.610358i \(-0.208974\pi\)
−0.132523 + 0.991180i \(0.542308\pi\)
\(434\) 6.69242 + 11.5916i 0.321246 + 0.556415i
\(435\) −17.8236 20.3664i −0.854577 0.976494i
\(436\) −11.0979 6.40740i −0.531495 0.306859i
\(437\) −5.76989 + 1.01739i −0.276011 + 0.0486682i
\(438\) −12.0677 −0.576616
\(439\) −3.37836 + 0.595697i −0.161241 + 0.0284311i −0.253686 0.967287i \(-0.581643\pi\)
0.0924451 + 0.995718i \(0.470532\pi\)
\(440\) −5.44238 + 3.29482i −0.259455 + 0.157074i
\(441\) −4.11398 1.49737i −0.195904 0.0713032i
\(442\) 25.0217 9.10714i 1.19016 0.433182i
\(443\) 16.4750i 0.782749i 0.920232 + 0.391374i \(0.128000\pi\)
−0.920232 + 0.391374i \(0.872000\pi\)
\(444\) 5.10681 + 7.04062i 0.242358 + 0.334133i
\(445\) −2.07455 + 13.3865i −0.0983431 + 0.634580i
\(446\) −1.45199 3.98930i −0.0687535 0.188899i
\(447\) −8.96722 + 24.6372i −0.424135 + 1.16530i
\(448\) 0.999459 + 1.19111i 0.0472200 + 0.0562746i
\(449\) 12.5363 2.21049i 0.591624 0.104319i 0.130183 0.991490i \(-0.458444\pi\)
0.461441 + 0.887171i \(0.347333\pi\)
\(450\) 4.55296 + 1.44591i 0.214629 + 0.0681606i
\(451\) 2.00682 + 11.3813i 0.0944975 + 0.535922i
\(452\) −4.56582 + 7.90824i −0.214758 + 0.371972i
\(453\) −15.3730 + 18.3208i −0.722287 + 0.860789i
\(454\) −2.34274 4.05775i −0.109950 0.190440i
\(455\) −10.0394 8.07453i −0.470653 0.378540i
\(456\) 2.43575 0.886541i 0.114064 0.0415161i
\(457\) −26.7581 + 22.4527i −1.25169 + 1.05029i −0.255173 + 0.966895i \(0.582132\pi\)
−0.996516 + 0.0833967i \(0.973423\pi\)
\(458\) −9.51218 16.4756i −0.444475 0.769853i
\(459\) −40.0241 7.05734i −1.86817 0.329408i
\(460\) 2.33012 6.84105i 0.108642 0.318965i
\(461\) 0.657559 0.783648i 0.0306256 0.0364981i −0.750514 0.660854i \(-0.770194\pi\)
0.781140 + 0.624356i \(0.214639\pi\)
\(462\) −5.94424 2.16353i −0.276551 0.100656i
\(463\) 5.59191 + 2.03529i 0.259878 + 0.0945878i 0.468673 0.883371i \(-0.344732\pi\)
−0.208796 + 0.977959i \(0.566954\pi\)
\(464\) −5.44095 + 6.48427i −0.252590 + 0.301025i
\(465\) −8.87410 + 26.0537i −0.411527 + 1.20821i
\(466\) 11.4460 + 2.01824i 0.530227 + 0.0934933i
\(467\) −1.92127 3.32774i −0.0889058 0.153989i 0.818143 0.575015i \(-0.195004\pi\)
−0.907049 + 0.421025i \(0.861670\pi\)
\(468\) −2.71205 + 2.27568i −0.125364 + 0.105193i
\(469\) 3.71738 1.35301i 0.171652 0.0624764i
\(470\) 3.47159 + 2.79216i 0.160133 + 0.128793i
\(471\) 3.30286 + 5.72073i 0.152188 + 0.263597i
\(472\) −2.84929 + 3.39566i −0.131149 + 0.156298i
\(473\) 17.2891 29.9456i 0.794954 1.37690i
\(474\) 0.474002 + 2.68820i 0.0217716 + 0.123473i
\(475\) 2.74343 8.63871i 0.125877 0.396371i
\(476\) −11.0033 + 1.94019i −0.504338 + 0.0889283i
\(477\) 6.11682 + 7.28974i 0.280070 + 0.333774i
\(478\) −1.99166 + 5.47203i −0.0910963 + 0.250285i
\(479\) 12.7071 + 34.9125i 0.580603 + 1.59519i 0.787154 + 0.616757i \(0.211554\pi\)
−0.206551 + 0.978436i \(0.566224\pi\)
\(480\) −0.489658 + 3.15962i −0.0223497 + 0.144216i
\(481\) −12.6190 + 18.6766i −0.575378 + 0.851579i
\(482\) 22.7772i 1.03747i
\(483\) 6.75241 2.45768i 0.307245 0.111828i
\(484\) 2.72975 + 0.993547i 0.124080 + 0.0451612i
\(485\) 10.0037 6.05625i 0.454245 0.275000i
\(486\) 9.35764 1.65000i 0.424471 0.0748457i
\(487\) −9.74863 −0.441753 −0.220876 0.975302i \(-0.570892\pi\)
−0.220876 + 0.975302i \(0.570892\pi\)
\(488\) −3.89210 + 0.686282i −0.176187 + 0.0310665i
\(489\) −14.3761 8.30002i −0.650108 0.375340i
\(490\) −6.74797 7.71066i −0.304842 0.348332i
\(491\) −19.3544 33.5228i −0.873452 1.51286i −0.858403 0.512976i \(-0.828543\pi\)
−0.0150485 0.999887i \(-0.504790\pi\)
\(492\) 5.02993 + 2.90403i 0.226767 + 0.130924i
\(493\) −20.8034 57.1569i −0.936939 2.57422i
\(494\) 4.31783 + 5.14579i 0.194268 + 0.231520i
\(495\) 2.19716 + 5.66732i 0.0987548 + 0.254727i
\(496\) 8.47749 + 1.49481i 0.380651 + 0.0671190i
\(497\) −17.3909 3.06649i −0.780090 0.137551i
\(498\) −9.65868 8.10460i −0.432816 0.363176i
\(499\) 11.6402 31.9811i 0.521086 1.43167i −0.348228 0.937410i \(-0.613217\pi\)
0.869314 0.494261i \(-0.164561\pi\)
\(500\) 7.70625 + 8.10023i 0.344634 + 0.362253i
\(501\) 6.94928 8.28183i 0.310471 0.370005i
\(502\) 17.8174 + 3.14168i 0.795229 + 0.140220i
\(503\) −1.00145 + 5.67952i −0.0446525 + 0.253237i −0.998960 0.0455884i \(-0.985484\pi\)
0.954308 + 0.298825i \(0.0965948\pi\)
\(504\) 1.28652 0.742773i 0.0573062 0.0330858i
\(505\) −5.50777 + 3.33440i −0.245092 + 0.148379i
\(506\) 8.64108 3.14510i 0.384143 0.139817i
\(507\) 0.905466 + 0.522771i 0.0402132 + 0.0232171i
\(508\) −7.70457 + 4.44823i −0.341835 + 0.197358i
\(509\) 19.4953 + 16.3585i 0.864112 + 0.725076i 0.962850 0.270037i \(-0.0870361\pi\)
−0.0987378 + 0.995113i \(0.531481\pi\)
\(510\) −17.9033 14.3994i −0.792772 0.637616i
\(511\) 2.27871 + 12.9232i 0.100804 + 0.571688i
\(512\) 1.00000 0.0441942
\(513\) −1.78036 10.0969i −0.0786049 0.445791i
\(514\) 5.30838 4.45426i 0.234142 0.196469i
\(515\) −19.8132 10.8966i −0.873074 0.480160i
\(516\) −5.94357 16.3298i −0.261651 0.718881i
\(517\) 5.66871i 0.249310i
\(518\) 6.57544 6.79830i 0.288908 0.298700i
\(519\) 24.0671 1.05643
\(520\) −8.12835 + 1.60809i −0.356452 + 0.0705195i
\(521\) 24.9773 + 9.09100i 1.09428 + 0.398284i 0.825203 0.564836i \(-0.191060\pi\)
0.269073 + 0.963120i \(0.413283\pi\)
\(522\) 5.19832 + 6.19512i 0.227524 + 0.271153i
\(523\) 6.14388 + 34.8437i 0.268653 + 1.52361i 0.758427 + 0.651759i \(0.225968\pi\)
−0.489773 + 0.871850i \(0.662920\pi\)
\(524\) 3.03161i 0.132436i
\(525\) −1.47380 + 11.0184i −0.0643219 + 0.480884i
\(526\) 11.2695 + 6.50642i 0.491372 + 0.283694i
\(527\) −39.7612 + 47.3855i −1.73202 + 2.06415i
\(528\) −3.52325 + 2.03415i −0.153330 + 0.0885251i
\(529\) 6.27706 10.8722i 0.272916 0.472704i
\(530\) 4.32241 + 21.8483i 0.187753 + 0.949029i
\(531\) 2.72224 + 3.24424i 0.118135 + 0.140788i
\(532\) −1.40932 2.44102i −0.0611020 0.105832i
\(533\) −2.61368 + 14.8229i −0.113211 + 0.642053i
\(534\) −1.50421 + 8.53079i −0.0650935 + 0.369164i
\(535\) 32.9865 28.8681i 1.42613 1.24808i
\(536\) 0.870172 2.39078i 0.0375857 0.103266i
\(537\) −20.0880 7.31145i −0.866863 0.315512i
\(538\) 0.957520 + 0.803455i 0.0412816 + 0.0346394i
\(539\) 2.26396 12.8395i 0.0975155 0.553038i
\(540\) 11.9714 + 4.07756i 0.515167 + 0.175470i
\(541\) −27.7837 + 16.0409i −1.19451 + 0.689653i −0.959327 0.282297i \(-0.908904\pi\)
−0.235187 + 0.971950i \(0.575570\pi\)
\(542\) −3.36393 + 2.82267i −0.144493 + 0.121244i
\(543\) 0.170813 + 0.469304i 0.00733027 + 0.0201398i
\(544\) −3.59291 + 6.22310i −0.154045 + 0.266813i
\(545\) −26.7172 + 10.3579i −1.14444 + 0.443686i
\(546\) −6.31116 5.29569i −0.270093 0.226635i
\(547\) −10.1603 + 17.5981i −0.434422 + 0.752442i −0.997248 0.0741337i \(-0.976381\pi\)
0.562826 + 0.826576i \(0.309714\pi\)
\(548\) 2.49404 0.439766i 0.106540 0.0187859i
\(549\) 3.77591i 0.161152i
\(550\) −1.88603 + 14.1003i −0.0804204 + 0.601240i
\(551\) 11.7545 9.86320i 0.500759 0.420187i
\(552\) 1.58062 4.34272i 0.0672756 0.184838i
\(553\) 2.78926 1.01521i 0.118612 0.0431711i
\(554\) −2.89531 −0.123010
\(555\) 19.4245 + 0.968567i 0.824524 + 0.0411134i
\(556\) −20.8341 −0.883562
\(557\) 17.1613 6.24621i 0.727148 0.264660i 0.0481911 0.998838i \(-0.484654\pi\)
0.678957 + 0.734178i \(0.262432\pi\)
\(558\) 2.81291 7.72842i 0.119080 0.327170i
\(559\) 34.4985 28.9477i 1.45913 1.22436i
\(560\) 3.47607 0.0722512i 0.146891 0.00305317i
\(561\) 29.2341i 1.23426i
\(562\) −15.1608 + 2.67326i −0.639521 + 0.112765i
\(563\) 13.3996 23.2088i 0.564727 0.978136i −0.432348 0.901707i \(-0.642315\pi\)
0.997075 0.0764289i \(-0.0243518\pi\)
\(564\) 2.18239 + 1.83124i 0.0918950 + 0.0771091i
\(565\) 7.38093 + 19.0383i 0.310518 + 0.800947i
\(566\) −7.25942 + 12.5737i −0.305136 + 0.528511i
\(567\) 2.77652 + 7.62842i 0.116603 + 0.320363i
\(568\) −8.70018 + 7.30032i −0.365051 + 0.306315i
\(569\) −27.8053 + 16.0534i −1.16566 + 0.672994i −0.952654 0.304057i \(-0.901659\pi\)
−0.213006 + 0.977051i \(0.568325\pi\)
\(570\) 1.86875 5.48652i 0.0782735 0.229805i
\(571\) 6.32872 35.8920i 0.264849 1.50203i −0.504617 0.863343i \(-0.668366\pi\)
0.769466 0.638688i \(-0.220523\pi\)
\(572\) −8.07641 6.77691i −0.337692 0.283357i
\(573\) 24.5395 + 8.93166i 1.02515 + 0.373125i
\(574\) 2.16012 5.93488i 0.0901616 0.247717i
\(575\) −8.65457 13.6472i −0.360920 0.569126i
\(576\) 0.165905 0.940893i 0.00691270 0.0392039i
\(577\) 4.21311 23.8938i 0.175394 0.994710i −0.762294 0.647231i \(-0.775927\pi\)
0.937688 0.347479i \(-0.112962\pi\)
\(578\) −17.3180 29.9956i −0.720332 1.24765i
\(579\) −19.2617 22.9552i −0.800490 0.953987i
\(580\) 3.67336 + 18.5676i 0.152528 + 0.770976i
\(581\) −6.85533 + 11.8738i −0.284407 + 0.492607i
\(582\) 6.47614 3.73900i 0.268445 0.154987i
\(583\) −18.2157 + 21.7087i −0.754419 + 0.899081i
\(584\) 7.30889 + 4.21979i 0.302444 + 0.174616i
\(585\) 0.164510 + 7.91470i 0.00680163 + 0.327233i
\(586\) 21.1542i 0.873871i
\(587\) −2.07862 11.7885i −0.0857940 0.486562i −0.997182 0.0750147i \(-0.976100\pi\)
0.911388 0.411547i \(-0.135011\pi\)
\(588\) −4.21171 5.01932i −0.173688 0.206993i
\(589\) −14.6638 5.33717i −0.604210 0.219914i
\(590\) 1.92365 + 9.72339i 0.0791954 + 0.400306i
\(591\) 3.97521 0.163518
\(592\) −0.631036 6.04994i −0.0259354 0.248651i
\(593\) 11.8001i 0.484574i −0.970205 0.242287i \(-0.922102\pi\)
0.970205 0.242287i \(-0.0778976\pi\)
\(594\) 5.50372 + 15.1213i 0.225820 + 0.620436i
\(595\) −12.0396 + 21.8915i −0.493574 + 0.897465i
\(596\) 14.0461 11.7861i 0.575352 0.482778i
\(597\) 4.93308 + 27.9769i 0.201898 + 1.14502i
\(598\) 11.9764 0.489752
\(599\) 5.18341 + 29.3966i 0.211788 + 1.20111i 0.886394 + 0.462932i \(0.153203\pi\)
−0.674605 + 0.738179i \(0.735686\pi\)
\(600\) 4.81919 + 5.28112i 0.196743 + 0.215601i
\(601\) 37.0333 + 31.0747i 1.51062 + 1.26756i 0.862538 + 0.505993i \(0.168874\pi\)
0.648084 + 0.761569i \(0.275571\pi\)
\(602\) −16.3652 + 9.44844i −0.666995 + 0.385089i
\(603\) −2.10510 1.21538i −0.0857263 0.0494941i
\(604\) 15.7172 5.72058i 0.639522 0.232767i
\(605\) 5.55668 3.36402i 0.225911 0.136767i
\(606\) −3.56558 + 2.05859i −0.144842 + 0.0836246i
\(607\) 2.42384 13.7463i 0.0983804 0.557943i −0.895279 0.445507i \(-0.853023\pi\)
0.993659 0.112436i \(-0.0358654\pi\)
\(608\) −1.78523 0.314785i −0.0724008 0.0127662i
\(609\) −12.0969 + 14.4166i −0.490192 + 0.584188i
\(610\) −4.25863 + 7.74346i −0.172427 + 0.313524i
\(611\) −2.52511 + 6.93768i −0.102155 + 0.280669i
\(612\) 5.25919 + 4.41298i 0.212590 + 0.178384i
\(613\) −0.936313 0.165097i −0.0378173 0.00666821i 0.154708 0.987960i \(-0.450556\pi\)
−0.192525 + 0.981292i \(0.561668\pi\)
\(614\) 10.8920 + 1.92055i 0.439564 + 0.0775070i
\(615\) 12.1091 4.69455i 0.488285 0.189302i
\(616\) 2.84364 + 3.38892i 0.114574 + 0.136544i
\(617\) 11.1985 + 30.7676i 0.450834 + 1.23866i 0.932138 + 0.362103i \(0.117941\pi\)
−0.481304 + 0.876554i \(0.659837\pi\)
\(618\) −12.5224 7.22979i −0.503723 0.290825i
\(619\) −2.81449 4.87483i −0.113124 0.195936i 0.803904 0.594758i \(-0.202752\pi\)
−0.917028 + 0.398822i \(0.869419\pi\)
\(620\) 14.4850 12.6766i 0.581733 0.509103i
\(621\) −15.8306 9.13981i −0.635260 0.366768i
\(622\) 3.21879 0.567560i 0.129062 0.0227571i
\(623\) 9.41959 0.377388
\(624\) −5.21806 + 0.920085i −0.208890 + 0.0368329i
\(625\) 24.9137 2.07584i 0.996547 0.0830336i
\(626\) −18.8983 6.87842i −0.755328 0.274917i
\(627\) 6.93015 2.52237i 0.276764 0.100734i
\(628\) 4.61974i 0.184348i
\(629\) 39.9166 + 17.8099i 1.59158 + 0.710126i
\(630\) 0.508716 3.28260i 0.0202677 0.130782i
\(631\) −13.2290 36.3463i −0.526637 1.44692i −0.863007 0.505192i \(-0.831422\pi\)
0.336370 0.941730i \(-0.390801\pi\)
\(632\) 0.652917 1.79388i 0.0259717 0.0713565i
\(633\) −0.451024 0.537510i −0.0179266 0.0213641i
\(634\) −5.67633 + 1.00089i −0.225436 + 0.0397504i
\(635\) −3.04654 + 19.6584i −0.120898 + 0.780122i
\(636\) 2.47311 + 14.0257i 0.0980650 + 0.556155i
\(637\) 8.49008 14.7053i 0.336389 0.582643i
\(638\) −15.4805 + 18.4489i −0.612878 + 0.730400i
\(639\) 5.42542 + 9.39710i 0.214626 + 0.371744i
\(640\) 1.40141 1.74243i 0.0553956 0.0688754i
\(641\) 39.8546 14.5059i 1.57416 0.572948i 0.600237 0.799822i \(-0.295073\pi\)
0.973924 + 0.226875i \(0.0728508\pi\)
\(642\) 21.4729 18.0179i 0.847467 0.711109i
\(643\) 6.74763 + 11.6872i 0.266100 + 0.460900i 0.967851 0.251523i \(-0.0809314\pi\)
−0.701751 + 0.712422i \(0.747598\pi\)
\(644\) −4.94904 0.872650i −0.195020 0.0343872i
\(645\) −36.7829 12.5286i −1.44833 0.493311i
\(646\) 8.37311 9.97869i 0.329436 0.392606i
\(647\) −28.2483 10.2815i −1.11055 0.404209i −0.279358 0.960187i \(-0.590122\pi\)
−0.831197 + 0.555978i \(0.812344\pi\)
\(648\) 4.90611 + 1.78568i 0.192730 + 0.0701480i
\(649\) −8.10676 + 9.66126i −0.318218 + 0.379238i
\(650\) −8.58917 + 16.4166i −0.336895 + 0.643914i
\(651\) 18.8481 + 3.32343i 0.738716 + 0.130256i
\(652\) 5.80465 + 10.0539i 0.227328 + 0.393743i
\(653\) −32.9027 + 27.6087i −1.28758 + 1.08041i −0.295433 + 0.955363i \(0.595464\pi\)
−0.992151 + 0.125048i \(0.960092\pi\)
\(654\) −17.2187 + 6.26710i −0.673305 + 0.245063i
\(655\) −5.28235 4.24853i −0.206399 0.166004i
\(656\) −2.03095 3.51770i −0.0792951 0.137343i
\(657\) 5.18295 6.17680i 0.202206 0.240980i
\(658\) 1.54897 2.68289i 0.0603850 0.104590i
\(659\) −1.06613 6.04633i −0.0415306 0.235532i 0.956976 0.290168i \(-0.0937112\pi\)
−0.998506 + 0.0546363i \(0.982600\pi\)
\(660\) −1.39317 + 8.98969i −0.0542289 + 0.349923i
\(661\) −6.09365 + 1.07448i −0.237016 + 0.0417922i −0.290894 0.956755i \(-0.593953\pi\)
0.0538785 + 0.998547i \(0.482842\pi\)
\(662\) −3.72944 4.44457i −0.144949 0.172743i
\(663\) 13.0222 35.7783i 0.505741 1.38951i
\(664\) 3.01587 + 8.28603i 0.117038 + 0.321560i
\(665\) −6.22834 0.965229i −0.241525 0.0374300i
\(666\) −5.79704 0.409977i −0.224631 0.0158863i
\(667\) 27.3577i 1.05929i
\(668\) −7.10485 + 2.58595i −0.274895 + 0.100054i
\(669\) −5.70427 2.07618i −0.220540 0.0802699i
\(670\) −2.94629 4.86667i −0.113825 0.188016i
\(671\) −11.0737 + 1.95260i −0.427497 + 0.0753792i
\(672\) 2.22331 0.0857662
\(673\) 16.2163 2.85937i 0.625092 0.110221i 0.147875 0.989006i \(-0.452757\pi\)
0.477217 + 0.878785i \(0.341646\pi\)
\(674\) −16.5033 9.52816i −0.635682 0.367011i
\(675\) 23.8817 15.1449i 0.919206 0.582929i
\(676\) −0.365602 0.633241i −0.0140616 0.0243554i
\(677\) −1.56325 0.902546i −0.0600808 0.0346876i 0.469659 0.882848i \(-0.344377\pi\)
−0.529739 + 0.848160i \(0.677710\pi\)
\(678\) 4.46585 + 12.2698i 0.171510 + 0.471220i
\(679\) −5.22694 6.22922i −0.200591 0.239056i
\(680\) 5.80815 + 14.9815i 0.222732 + 0.574514i
\(681\) −6.59795 1.16340i −0.252834 0.0445815i
\(682\) 24.1200 + 4.25301i 0.923603 + 0.162856i
\(683\) −14.3251 12.0202i −0.548134 0.459939i 0.326175 0.945309i \(-0.394240\pi\)
−0.874308 + 0.485371i \(0.838685\pi\)
\(684\) −0.592358 + 1.62749i −0.0226494 + 0.0622286i
\(685\) 2.72891 4.96196i 0.104266 0.189587i
\(686\) −11.5761 + 13.7958i −0.441977 + 0.526727i
\(687\) −26.7895 4.72371i −1.02208 0.180221i
\(688\) −2.11039 + 11.9686i −0.0804579 + 0.456299i
\(689\) −31.9635 + 18.4541i −1.21771 + 0.703046i
\(690\) −5.35177 8.84004i −0.203738 0.336535i
\(691\) −1.09642 + 0.399066i −0.0417100 + 0.0151812i −0.362791 0.931871i \(-0.618176\pi\)
0.321081 + 0.947052i \(0.395954\pi\)
\(692\) −14.5764 8.41571i −0.554113 0.319917i
\(693\) 3.66039 2.11333i 0.139047 0.0802786i
\(694\) −8.76316 7.35316i −0.332645 0.279122i
\(695\) −29.1971 + 36.3018i −1.10751 + 1.37701i
\(696\) 2.10175 + 11.9196i 0.0796665 + 0.451811i
\(697\) 29.1880 1.10557
\(698\) −0.215685 1.22321i −0.00816381 0.0462993i
\(699\) 12.7309 10.6825i 0.481528 0.404050i
\(700\) 4.74551 6.15805i 0.179363 0.232752i
\(701\) 17.2072 + 47.2764i 0.649907 + 1.78560i 0.618085 + 0.786111i \(0.287909\pi\)
0.0318214 + 0.999494i \(0.489869\pi\)
\(702\) 20.9580i 0.791007i
\(703\) −0.777883 + 10.9992i −0.0293384 + 0.414843i
\(704\) 2.84518 0.107232
\(705\) 6.24922 1.23633i 0.235359 0.0465628i
\(706\) −5.76237 2.09733i −0.216870 0.0789341i
\(707\) 2.87781 + 3.42964i 0.108231 + 0.128985i
\(708\) 1.10063 + 6.24201i 0.0413644 + 0.234589i
\(709\) 40.8004i 1.53229i −0.642668 0.766145i \(-0.722172\pi\)
0.642668 0.766145i \(-0.277828\pi\)
\(710\) 0.527743 + 25.3902i 0.0198058 + 0.952876i
\(711\) −1.57952 0.911938i −0.0592368 0.0342004i
\(712\) 3.89406 4.64076i 0.145936 0.173920i
\(713\) −24.0946 + 13.9110i −0.902348 + 0.520971i
\(714\) −7.98816 + 13.8359i −0.298949 + 0.517795i
\(715\) −23.1266 + 4.57531i −0.864887 + 0.171107i
\(716\) 9.60983 + 11.4526i 0.359136 + 0.428002i
\(717\) 4.16328 + 7.21102i 0.155481 + 0.269301i
\(718\) 4.47064 25.3542i 0.166843 0.946212i
\(719\) −0.596860 + 3.38496i −0.0222591 + 0.126238i −0.993913 0.110172i \(-0.964860\pi\)
0.971653 + 0.236410i \(0.0759709\pi\)
\(720\) −1.40694 1.60765i −0.0524334 0.0599138i
\(721\) −5.37776 + 14.7753i −0.200278 + 0.550260i
\(722\) −14.7662 5.37445i −0.549541 0.200016i
\(723\) 24.9492 + 20.9349i 0.927872 + 0.778577i
\(724\) 0.0606506 0.343967i 0.00225406 0.0127834i
\(725\) 37.5005 + 19.6202i 1.39273 + 0.728677i
\(726\) 3.59725 2.07687i 0.133507 0.0770800i
\(727\) 1.95706 1.64217i 0.0725835 0.0609048i −0.605774 0.795637i \(-0.707136\pi\)
0.678358 + 0.734732i \(0.262692\pi\)
\(728\) 1.97062 + 5.41424i 0.0730361 + 0.200665i
\(729\) 14.6249 25.3310i 0.541662 0.938186i
\(730\) 17.5954 6.82154i 0.651236 0.252477i
\(731\) −66.8994 56.1353i −2.47436 2.07624i
\(732\) −2.82557 + 4.89403i −0.104436 + 0.180888i
\(733\) 35.5979 6.27687i 1.31484 0.231842i 0.528129 0.849164i \(-0.322894\pi\)
0.786710 + 0.617323i \(0.211783\pi\)
\(734\) 3.87393i 0.142989i
\(735\) −14.6481 + 0.304466i −0.540304 + 0.0112304i
\(736\) −2.47586 + 2.07749i −0.0912615 + 0.0765775i
\(737\) 2.47580 6.80220i 0.0911972 0.250562i
\(738\) −3.64673 + 1.32730i −0.134238 + 0.0488586i
\(739\) −40.8122 −1.50130 −0.750651 0.660698i \(-0.770260\pi\)
−0.750651 + 0.660698i \(0.770260\pi\)
\(740\) −11.4259 7.37892i −0.420025 0.271254i
\(741\) 9.60509 0.352852
\(742\) 14.5530 5.29686i 0.534257 0.194454i
\(743\) 15.4832 42.5398i 0.568025 1.56064i −0.239558 0.970882i \(-0.577003\pi\)
0.807583 0.589754i \(-0.200775\pi\)
\(744\) 9.42916 7.91201i 0.345690 0.290068i
\(745\) −0.852022 40.9915i −0.0312157 1.50181i
\(746\) 27.5123i 1.00730i
\(747\) 8.29662 1.46292i 0.303557 0.0535254i
\(748\) −10.2225 + 17.7058i −0.373771 + 0.647390i
\(749\) −23.3499 19.5929i −0.853185 0.715907i
\(750\) 15.9556 0.996076i 0.582617 0.0363715i
\(751\) −11.4645 + 19.8570i −0.418344 + 0.724593i −0.995773 0.0918480i \(-0.970723\pi\)
0.577429 + 0.816441i \(0.304056\pi\)
\(752\) −0.681438 1.87223i −0.0248495 0.0682734i
\(753\) 19.8175 16.6289i 0.722191 0.605990i
\(754\) −27.1639 + 15.6831i −0.989250 + 0.571144i
\(755\) 12.0585 35.4029i 0.438854 1.28844i
\(756\) 1.52708 8.66051i 0.0555394 0.314980i
\(757\) −1.97917 1.66072i −0.0719341 0.0603599i 0.606112 0.795380i \(-0.292728\pi\)
−0.678046 + 0.735020i \(0.737173\pi\)
\(758\) −21.2292 7.72681i −0.771081 0.280651i
\(759\) 4.49715 12.3558i 0.163236 0.448488i
\(760\) −3.05033 + 2.66950i −0.110647 + 0.0968328i
\(761\) 6.27757 35.6019i 0.227562 1.29057i −0.630165 0.776461i \(-0.717013\pi\)
0.857727 0.514106i \(-0.171876\pi\)
\(762\) −2.20898 + 12.5277i −0.0800228 + 0.453832i
\(763\) 9.96274 + 17.2560i 0.360676 + 0.624708i
\(764\) −11.7394 13.9904i −0.424715 0.506156i
\(765\) 15.0596 2.97935i 0.544480 0.107719i
\(766\) −5.59971 + 9.69898i −0.202326 + 0.350439i
\(767\) −14.2251 + 8.21285i −0.513638 + 0.296549i
\(768\) 0.919117 1.09536i 0.0331658 0.0395254i
\(769\) −27.2723 15.7457i −0.983464 0.567803i −0.0801500 0.996783i \(-0.525540\pi\)
−0.903314 + 0.428979i \(0.858873\pi\)
\(770\) 9.89005 0.205568i 0.356413 0.00740815i
\(771\) 9.90857i 0.356849i
\(772\) 3.63910 + 20.6384i