Properties

Label 41.2.g.a.2.3
Level 41
Weight 2
Character 41.2
Analytic conductor 0.327
Analytic rank 0
Dimension 24
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 41 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 41.g (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.327386648287\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(3\) over \(\Q(\zeta_{20})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 2.3
Character \(\chi\) = 41.2
Dual form 41.2.g.a.21.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.698642 - 0.227002i) q^{2} +(0.0432913 - 0.0432913i) q^{3} +(-1.18146 + 0.858384i) q^{4} +(-0.422124 - 0.581004i) q^{5} +(0.0204179 - 0.0400723i) q^{6} +(-1.42228 - 2.79137i) q^{7} +(-1.49413 + 2.05650i) q^{8} +2.99625i q^{9} +O(q^{10})\) \(q+(0.698642 - 0.227002i) q^{2} +(0.0432913 - 0.0432913i) q^{3} +(-1.18146 + 0.858384i) q^{4} +(-0.422124 - 0.581004i) q^{5} +(0.0204179 - 0.0400723i) q^{6} +(-1.42228 - 2.79137i) q^{7} +(-1.49413 + 2.05650i) q^{8} +2.99625i q^{9} +(-0.426803 - 0.310091i) q^{10} +(3.06970 - 0.486193i) q^{11} +(-0.0139866 + 0.0883076i) q^{12} +(-1.79162 - 0.912875i) q^{13} +(-1.62731 - 1.62731i) q^{14} +(-0.0434267 - 0.00687812i) q^{15} +(0.325524 - 1.00186i) q^{16} +(0.304435 + 1.92213i) q^{17} +(0.680157 + 2.09331i) q^{18} +(3.91204 - 1.99329i) q^{19} +(0.997449 + 0.324091i) q^{20} +(-0.182414 - 0.0592700i) q^{21} +(2.03426 - 1.03651i) q^{22} +(0.275748 + 0.848664i) q^{23} +(0.0243455 + 0.153711i) q^{24} +(1.38571 - 4.26477i) q^{25} +(-1.45892 - 0.231071i) q^{26} +(0.259585 + 0.259585i) q^{27} +(4.07644 + 2.07705i) q^{28} +(-1.43151 + 9.03822i) q^{29} +(-0.0319011 + 0.00505263i) q^{30} +(-5.64731 - 4.10301i) q^{31} -5.85778i q^{32} +(0.111844 - 0.153939i) q^{33} +(0.649020 + 1.27377i) q^{34} +(-1.02142 + 2.00465i) q^{35} +(-2.57193 - 3.53996i) q^{36} +(-3.49299 + 2.53781i) q^{37} +(2.28064 - 2.28064i) q^{38} +(-0.117081 + 0.0380419i) q^{39} +1.82554 q^{40} +(-2.53101 + 5.88167i) q^{41} -0.140897 q^{42} +(-10.3243 + 3.35457i) q^{43} +(-3.20940 + 3.20940i) q^{44} +(1.74083 - 1.26479i) q^{45} +(0.385298 + 0.530317i) q^{46} +(5.24325 - 10.2905i) q^{47} +(-0.0292795 - 0.0574642i) q^{48} +(-1.65440 + 2.27709i) q^{49} -3.29411i q^{50} +(0.0963909 + 0.0700321i) q^{51} +(2.90033 - 0.459367i) q^{52} +(0.465724 - 2.94046i) q^{53} +(0.240284 + 0.122431i) q^{54} +(-1.57828 - 1.57828i) q^{55} +(7.86552 + 1.24578i) q^{56} +(0.0830655 - 0.255649i) q^{57} +(1.05158 + 6.63944i) q^{58} +(1.37512 + 4.23218i) q^{59} +(0.0572112 - 0.0291505i) q^{60} +(11.3577 + 3.69033i) q^{61} +(-4.87684 - 1.58458i) q^{62} +(8.36366 - 4.26150i) q^{63} +(-0.678682 - 2.08877i) q^{64} +(0.225901 + 1.42628i) q^{65} +(0.0431939 - 0.132937i) q^{66} +(8.00079 + 1.26720i) q^{67} +(-2.00960 - 2.00960i) q^{68} +(0.0486772 + 0.0248023i) q^{69} +(-0.258547 + 1.63240i) q^{70} +(-0.988102 + 0.156500i) q^{71} +(-6.16179 - 4.47680i) q^{72} -6.49752i q^{73} +(-1.86426 + 2.56593i) q^{74} +(-0.124638 - 0.244616i) q^{75} +(-2.91093 + 5.71303i) q^{76} +(-5.72311 - 7.87719i) q^{77} +(-0.0731620 + 0.0531553i) q^{78} +(-4.43337 + 4.43337i) q^{79} +(-0.719497 + 0.233779i) q^{80} -8.96628 q^{81} +(-0.433113 + 4.68372i) q^{82} +7.83744 q^{83} +(0.266392 - 0.0865561i) q^{84} +(0.988256 - 0.988256i) q^{85} +(-6.45150 + 4.68729i) q^{86} +(0.329304 + 0.453248i) q^{87} +(-3.58669 + 7.03928i) q^{88} +(-6.40964 - 12.5796i) q^{89} +(0.929109 - 1.27881i) q^{90} +6.29943i q^{91} +(-1.05426 - 0.765968i) q^{92} +(-0.422104 + 0.0668547i) q^{93} +(1.32719 - 8.37958i) q^{94} +(-2.80948 - 1.43150i) q^{95} +(-0.253591 - 0.253591i) q^{96} +(6.34053 + 1.00424i) q^{97} +(-0.638929 + 1.96642i) q^{98} +(1.45676 + 9.19761i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 10q^{2} - 6q^{3} - 10q^{5} - 2q^{6} - 8q^{7} - 10q^{8} + O(q^{10}) \) \( 24q - 10q^{2} - 6q^{3} - 10q^{5} - 2q^{6} - 8q^{7} - 10q^{8} + 6q^{10} - 16q^{11} + 2q^{12} + 14q^{14} + 8q^{15} - 20q^{16} + 8q^{17} + 16q^{19} + 20q^{20} - 10q^{21} + 6q^{22} + 12q^{23} + 68q^{24} - 8q^{25} - 28q^{26} - 6q^{27} + 18q^{28} + 40q^{29} - 36q^{30} - 12q^{31} + 10q^{33} - 16q^{34} - 36q^{35} - 40q^{36} + 46q^{38} - 50q^{39} - 44q^{40} - 4q^{41} - 40q^{42} - 48q^{44} + 16q^{45} + 70q^{46} - 12q^{47} - 50q^{48} - 30q^{49} - 24q^{51} + 20q^{52} - 26q^{53} + 68q^{54} + 20q^{55} + 106q^{56} + 10q^{57} - 20q^{58} + 6q^{59} + 76q^{60} + 30q^{61} - 10q^{62} + 92q^{63} + 70q^{64} + 68q^{65} + 34q^{66} - 22q^{67} - 20q^{68} - 38q^{69} - 20q^{70} + 4q^{71} - 74q^{72} + 10q^{74} + 4q^{75} - 128q^{76} - 20q^{77} - 10q^{78} - 2q^{79} - 70q^{80} + 28q^{81} - 90q^{82} + 80q^{83} - 30q^{84} - 56q^{85} - 46q^{86} - 10q^{87} + 10q^{88} - 72q^{89} - 70q^{90} - 6q^{93} - 18q^{94} - 40q^{95} + 66q^{96} - 22q^{97} + 6q^{98} + 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/41\mathbb{Z}\right)^\times\).

\(n\) \(6\)
\(\chi(n)\) \(e\left(\frac{13}{20}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.698642 0.227002i 0.494014 0.160515i −0.0514057 0.998678i \(-0.516370\pi\)
0.545420 + 0.838163i \(0.316370\pi\)
\(3\) 0.0432913 0.0432913i 0.0249942 0.0249942i −0.694499 0.719493i \(-0.744374\pi\)
0.719493 + 0.694499i \(0.244374\pi\)
\(4\) −1.18146 + 0.858384i −0.590732 + 0.429192i
\(5\) −0.422124 0.581004i −0.188780 0.259833i 0.704128 0.710073i \(-0.251338\pi\)
−0.892907 + 0.450240i \(0.851338\pi\)
\(6\) 0.0204179 0.0400723i 0.00833556 0.0163595i
\(7\) −1.42228 2.79137i −0.537570 1.05504i −0.986848 0.161648i \(-0.948319\pi\)
0.449279 0.893392i \(-0.351681\pi\)
\(8\) −1.49413 + 2.05650i −0.528256 + 0.727082i
\(9\) 2.99625i 0.998751i
\(10\) −0.426803 0.310091i −0.134967 0.0980592i
\(11\) 3.06970 0.486193i 0.925551 0.146593i 0.324575 0.945860i \(-0.394779\pi\)
0.600976 + 0.799267i \(0.294779\pi\)
\(12\) −0.0139866 + 0.0883076i −0.00403757 + 0.0254922i
\(13\) −1.79162 0.912875i −0.496905 0.253186i 0.187531 0.982259i \(-0.439952\pi\)
−0.684436 + 0.729073i \(0.739952\pi\)
\(14\) −1.62731 1.62731i −0.434917 0.434917i
\(15\) −0.0434267 0.00687812i −0.0112127 0.00177592i
\(16\) 0.325524 1.00186i 0.0813810 0.250465i
\(17\) 0.304435 + 1.92213i 0.0738365 + 0.466185i 0.996708 + 0.0810768i \(0.0258359\pi\)
−0.922871 + 0.385108i \(0.874164\pi\)
\(18\) 0.680157 + 2.09331i 0.160314 + 0.493397i
\(19\) 3.91204 1.99329i 0.897485 0.457291i 0.0565325 0.998401i \(-0.481996\pi\)
0.840952 + 0.541109i \(0.181996\pi\)
\(20\) 0.997449 + 0.324091i 0.223036 + 0.0724689i
\(21\) −0.182414 0.0592700i −0.0398061 0.0129338i
\(22\) 2.03426 1.03651i 0.433705 0.220984i
\(23\) 0.275748 + 0.848664i 0.0574973 + 0.176959i 0.975681 0.219198i \(-0.0703439\pi\)
−0.918183 + 0.396156i \(0.870344\pi\)
\(24\) 0.0243455 + 0.153711i 0.00496950 + 0.0313762i
\(25\) 1.38571 4.26477i 0.277142 0.852954i
\(26\) −1.45892 0.231071i −0.286119 0.0453167i
\(27\) 0.259585 + 0.259585i 0.0499572 + 0.0499572i
\(28\) 4.07644 + 2.07705i 0.770374 + 0.392525i
\(29\) −1.43151 + 9.03822i −0.265825 + 1.67836i 0.387961 + 0.921676i \(0.373180\pi\)
−0.653786 + 0.756680i \(0.726820\pi\)
\(30\) −0.0319011 + 0.00505263i −0.00582431 + 0.000922480i
\(31\) −5.64731 4.10301i −1.01429 0.736922i −0.0491827 0.998790i \(-0.515662\pi\)
−0.965104 + 0.261868i \(0.915662\pi\)
\(32\) 5.85778i 1.03552i
\(33\) 0.111844 0.153939i 0.0194695 0.0267974i
\(34\) 0.649020 + 1.27377i 0.111306 + 0.218450i
\(35\) −1.02142 + 2.00465i −0.172652 + 0.338848i
\(36\) −2.57193 3.53996i −0.428656 0.589994i
\(37\) −3.49299 + 2.53781i −0.574244 + 0.417213i −0.836644 0.547746i \(-0.815486\pi\)
0.262400 + 0.964959i \(0.415486\pi\)
\(38\) 2.28064 2.28064i 0.369968 0.369968i
\(39\) −0.117081 + 0.0380419i −0.0187480 + 0.00609158i
\(40\) 1.82554 0.288644
\(41\) −2.53101 + 5.88167i −0.395277 + 0.918562i
\(42\) −0.140897 −0.0217408
\(43\) −10.3243 + 3.35457i −1.57444 + 0.511568i −0.960618 0.277874i \(-0.910370\pi\)
−0.613826 + 0.789441i \(0.710370\pi\)
\(44\) −3.20940 + 3.20940i −0.483836 + 0.483836i
\(45\) 1.74083 1.26479i 0.259508 0.188544i
\(46\) 0.385298 + 0.530317i 0.0568090 + 0.0781909i
\(47\) 5.24325 10.2905i 0.764807 1.50102i −0.0978352 0.995203i \(-0.531192\pi\)
0.862642 0.505815i \(-0.168808\pi\)
\(48\) −0.0292795 0.0574642i −0.00422612 0.00829424i
\(49\) −1.65440 + 2.27709i −0.236343 + 0.325298i
\(50\) 3.29411i 0.465857i
\(51\) 0.0963909 + 0.0700321i 0.0134974 + 0.00980645i
\(52\) 2.90033 0.459367i 0.402203 0.0637027i
\(53\) 0.465724 2.94046i 0.0639721 0.403904i −0.934835 0.355081i \(-0.884453\pi\)
0.998807 0.0488225i \(-0.0155469\pi\)
\(54\) 0.240284 + 0.122431i 0.0326985 + 0.0166607i
\(55\) −1.57828 1.57828i −0.212815 0.212815i
\(56\) 7.86552 + 1.24578i 1.05107 + 0.166474i
\(57\) 0.0830655 0.255649i 0.0110023 0.0338616i
\(58\) 1.05158 + 6.63944i 0.138080 + 0.871801i
\(59\) 1.37512 + 4.23218i 0.179025 + 0.550982i 0.999794 0.0202774i \(-0.00645493\pi\)
−0.820769 + 0.571260i \(0.806455\pi\)
\(60\) 0.0572112 0.0291505i 0.00738593 0.00376332i
\(61\) 11.3577 + 3.69033i 1.45420 + 0.472499i 0.926294 0.376803i \(-0.122977\pi\)
0.527908 + 0.849301i \(0.322977\pi\)
\(62\) −4.87684 1.58458i −0.619359 0.201242i
\(63\) 8.36366 4.26150i 1.05372 0.536898i
\(64\) −0.678682 2.08877i −0.0848353 0.261096i
\(65\) 0.225901 + 1.42628i 0.0280196 + 0.176909i
\(66\) 0.0431939 0.132937i 0.00531680 0.0163634i
\(67\) 8.00079 + 1.26720i 0.977452 + 0.154813i 0.624667 0.780891i \(-0.285235\pi\)
0.352785 + 0.935704i \(0.385235\pi\)
\(68\) −2.00960 2.00960i −0.243700 0.243700i
\(69\) 0.0486772 + 0.0248023i 0.00586005 + 0.00298584i
\(70\) −0.258547 + 1.63240i −0.0309023 + 0.195109i
\(71\) −0.988102 + 0.156500i −0.117266 + 0.0185731i −0.214792 0.976660i \(-0.568907\pi\)
0.0975255 + 0.995233i \(0.468907\pi\)
\(72\) −6.16179 4.47680i −0.726174 0.527596i
\(73\) 6.49752i 0.760477i −0.924889 0.380238i \(-0.875842\pi\)
0.924889 0.380238i \(-0.124158\pi\)
\(74\) −1.86426 + 2.56593i −0.216716 + 0.298284i
\(75\) −0.124638 0.244616i −0.0143920 0.0282459i
\(76\) −2.91093 + 5.71303i −0.333907 + 0.655330i
\(77\) −5.72311 7.87719i −0.652209 0.897689i
\(78\) −0.0731620 + 0.0531553i −0.00828397 + 0.00601866i
\(79\) −4.43337 + 4.43337i −0.498793 + 0.498793i −0.911062 0.412269i \(-0.864736\pi\)
0.412269 + 0.911062i \(0.364736\pi\)
\(80\) −0.719497 + 0.233779i −0.0804422 + 0.0261372i
\(81\) −8.96628 −0.996253
\(82\) −0.433113 + 4.68372i −0.0478294 + 0.517231i
\(83\) 7.83744 0.860271 0.430136 0.902764i \(-0.358466\pi\)
0.430136 + 0.902764i \(0.358466\pi\)
\(84\) 0.266392 0.0865561i 0.0290658 0.00944404i
\(85\) 0.988256 0.988256i 0.107191 0.107191i
\(86\) −6.45150 + 4.68729i −0.695683 + 0.505444i
\(87\) 0.329304 + 0.453248i 0.0353051 + 0.0485933i
\(88\) −3.58669 + 7.03928i −0.382343 + 0.750390i
\(89\) −6.40964 12.5796i −0.679420 1.33344i −0.930793 0.365547i \(-0.880882\pi\)
0.251373 0.967890i \(-0.419118\pi\)
\(90\) 0.929109 1.27881i 0.0979367 0.134798i
\(91\) 6.29943i 0.660360i
\(92\) −1.05426 0.765968i −0.109915 0.0798577i
\(93\) −0.422104 + 0.0668547i −0.0437701 + 0.00693251i
\(94\) 1.32719 8.37958i 0.136890 0.864287i
\(95\) −2.80948 1.43150i −0.288246 0.146869i
\(96\) −0.253591 0.253591i −0.0258820 0.0258820i
\(97\) 6.34053 + 1.00424i 0.643783 + 0.101965i 0.469785 0.882781i \(-0.344331\pi\)
0.173998 + 0.984746i \(0.444331\pi\)
\(98\) −0.638929 + 1.96642i −0.0645415 + 0.198638i
\(99\) 1.45676 + 9.19761i 0.146410 + 0.924394i
\(100\) 2.02365 + 6.22814i 0.202365 + 0.622814i
\(101\) 10.7210 5.46262i 1.06678 0.543551i 0.169734 0.985490i \(-0.445709\pi\)
0.897045 + 0.441938i \(0.145709\pi\)
\(102\) 0.0832402 + 0.0270464i 0.00824200 + 0.00267799i
\(103\) −14.6231 4.75134i −1.44086 0.468163i −0.518694 0.854960i \(-0.673581\pi\)
−0.922165 + 0.386797i \(0.873581\pi\)
\(104\) 4.55424 2.32050i 0.446580 0.227544i
\(105\) 0.0425654 + 0.131003i 0.00415396 + 0.0127846i
\(106\) −0.342119 2.16005i −0.0332295 0.209803i
\(107\) −0.344730 + 1.06097i −0.0333263 + 0.102568i −0.966336 0.257284i \(-0.917173\pi\)
0.933010 + 0.359851i \(0.117173\pi\)
\(108\) −0.529515 0.0838669i −0.0509526 0.00807009i
\(109\) 4.18654 + 4.18654i 0.400998 + 0.400998i 0.878585 0.477587i \(-0.158488\pi\)
−0.477587 + 0.878585i \(0.658488\pi\)
\(110\) −1.46092 0.744378i −0.139294 0.0709736i
\(111\) −0.0413511 + 0.261081i −0.00392488 + 0.0247807i
\(112\) −3.25955 + 0.516262i −0.307999 + 0.0487822i
\(113\) 12.4975 + 9.07995i 1.17566 + 0.854170i 0.991676 0.128759i \(-0.0410992\pi\)
0.183988 + 0.982928i \(0.441099\pi\)
\(114\) 0.197463i 0.0184941i
\(115\) 0.376677 0.518452i 0.0351254 0.0483459i
\(116\) −6.06698 11.9071i −0.563305 1.10555i
\(117\) 2.73520 5.36814i 0.252870 0.496285i
\(118\) 1.92143 + 2.64462i 0.176882 + 0.243457i
\(119\) 4.93239 3.58359i 0.452152 0.328507i
\(120\) 0.0790301 0.0790301i 0.00721443 0.00721443i
\(121\) −1.27492 + 0.414247i −0.115902 + 0.0376588i
\(122\) 8.77266 0.794240
\(123\) 0.145054 + 0.364195i 0.0130791 + 0.0328384i
\(124\) 10.1940 0.915452
\(125\) −6.47785 + 2.10478i −0.579396 + 0.188257i
\(126\) 4.87583 4.87583i 0.434373 0.434373i
\(127\) 3.50780 2.54857i 0.311267 0.226149i −0.421173 0.906980i \(-0.638381\pi\)
0.732440 + 0.680832i \(0.238381\pi\)
\(128\) 5.93792 + 8.17285i 0.524843 + 0.722384i
\(129\) −0.301729 + 0.592177i −0.0265658 + 0.0521383i
\(130\) 0.481594 + 0.945182i 0.0422386 + 0.0828979i
\(131\) −9.74217 + 13.4090i −0.851178 + 1.17155i 0.132424 + 0.991193i \(0.457724\pi\)
−0.983602 + 0.180352i \(0.942276\pi\)
\(132\) 0.277878i 0.0241862i
\(133\) −11.1280 8.08497i −0.964921 0.701056i
\(134\) 5.87734 0.930880i 0.507725 0.0804157i
\(135\) 0.0412429 0.260398i 0.00354963 0.0224115i
\(136\) −4.40772 2.24585i −0.377959 0.192580i
\(137\) −0.166857 0.166857i −0.0142555 0.0142555i 0.699943 0.714199i \(-0.253209\pi\)
−0.714199 + 0.699943i \(0.753209\pi\)
\(138\) 0.0396381 + 0.00627806i 0.00337422 + 0.000534424i
\(139\) −0.727856 + 2.24011i −0.0617360 + 0.190004i −0.977168 0.212470i \(-0.931849\pi\)
0.915432 + 0.402473i \(0.131849\pi\)
\(140\) −0.513989 3.24520i −0.0434400 0.274269i
\(141\) −0.218500 0.672474i −0.0184010 0.0566325i
\(142\) −0.654803 + 0.333639i −0.0549499 + 0.0279984i
\(143\) −5.94357 1.93118i −0.497026 0.161494i
\(144\) 3.00182 + 0.975352i 0.250152 + 0.0812793i
\(145\) 5.85552 2.98354i 0.486275 0.247769i
\(146\) −1.47495 4.53944i −0.122068 0.375686i
\(147\) 0.0269569 + 0.170199i 0.00222337 + 0.0140378i
\(148\) 1.94843 5.99665i 0.160160 0.492922i
\(149\) −8.28803 1.31270i −0.678982 0.107540i −0.192588 0.981280i \(-0.561688\pi\)
−0.486394 + 0.873739i \(0.661688\pi\)
\(150\) −0.142606 0.142606i −0.0116437 0.0116437i
\(151\) 3.22750 + 1.64449i 0.262650 + 0.133827i 0.580357 0.814362i \(-0.302913\pi\)
−0.317707 + 0.948189i \(0.602913\pi\)
\(152\) −1.74593 + 11.0233i −0.141613 + 0.894112i
\(153\) −5.75919 + 0.912165i −0.465603 + 0.0737442i
\(154\) −5.78655 4.20417i −0.466293 0.338782i
\(155\) 5.01309i 0.402661i
\(156\) 0.105672 0.145446i 0.00846056 0.0116450i
\(157\) 6.25608 + 12.2783i 0.499290 + 0.979911i 0.993847 + 0.110766i \(0.0353304\pi\)
−0.494557 + 0.869145i \(0.664670\pi\)
\(158\) −2.09095 + 4.10373i −0.166347 + 0.326475i
\(159\) −0.107135 0.147458i −0.00849633 0.0116942i
\(160\) −3.40339 + 2.47271i −0.269062 + 0.195485i
\(161\) 1.97675 1.97675i 0.155790 0.155790i
\(162\) −6.26422 + 2.03537i −0.492163 + 0.159914i
\(163\) −0.923374 −0.0723243 −0.0361621 0.999346i \(-0.511513\pi\)
−0.0361621 + 0.999346i \(0.511513\pi\)
\(164\) −2.05844 9.12155i −0.160737 0.712273i
\(165\) −0.136651 −0.0106383
\(166\) 5.47557 1.77912i 0.424986 0.138086i
\(167\) −12.0223 + 12.0223i −0.930315 + 0.930315i −0.997725 0.0674099i \(-0.978526\pi\)
0.0674099 + 0.997725i \(0.478526\pi\)
\(168\) 0.394440 0.286577i 0.0304317 0.0221099i
\(169\) −5.26465 7.24617i −0.404973 0.557398i
\(170\) 0.466100 0.914774i 0.0357483 0.0701599i
\(171\) 5.97239 + 11.7215i 0.456720 + 0.896363i
\(172\) 9.31829 12.8255i 0.710513 0.977938i
\(173\) 12.1428i 0.923198i −0.887089 0.461599i \(-0.847276\pi\)
0.887089 0.461599i \(-0.152724\pi\)
\(174\) 0.332954 + 0.241905i 0.0252412 + 0.0183388i
\(175\) −13.8754 + 2.19765i −1.04888 + 0.166127i
\(176\) 0.512165 3.23368i 0.0386059 0.243748i
\(177\) 0.242747 + 0.123686i 0.0182460 + 0.00929679i
\(178\) −7.33365 7.33365i −0.549680 0.549680i
\(179\) −2.11231 0.334557i −0.157881 0.0250060i 0.0769933 0.997032i \(-0.475468\pi\)
−0.234875 + 0.972026i \(0.575468\pi\)
\(180\) −0.971058 + 2.98861i −0.0723784 + 0.222758i
\(181\) −0.878821 5.54866i −0.0653222 0.412428i −0.998582 0.0532273i \(-0.983049\pi\)
0.933260 0.359201i \(-0.116951\pi\)
\(182\) 1.42999 + 4.40105i 0.105998 + 0.326227i
\(183\) 0.651448 0.331929i 0.0481564 0.0245369i
\(184\) −2.15728 0.700942i −0.159037 0.0516742i
\(185\) 2.94895 + 0.958172i 0.216811 + 0.0704462i
\(186\) −0.279723 + 0.142526i −0.0205103 + 0.0104505i
\(187\) 1.86905 + 5.75236i 0.136679 + 0.420654i
\(188\) 2.63845 + 16.6585i 0.192429 + 1.21495i
\(189\) 0.355398 1.09380i 0.0258514 0.0795624i
\(190\) −2.28777 0.362347i −0.165972 0.0262875i
\(191\) 9.27794 + 9.27794i 0.671328 + 0.671328i 0.958022 0.286694i \(-0.0925564\pi\)
−0.286694 + 0.958022i \(0.592556\pi\)
\(192\) −0.119807 0.0610445i −0.00864629 0.00440551i
\(193\) 2.59319 16.3728i 0.186662 1.17854i −0.699317 0.714812i \(-0.746512\pi\)
0.885979 0.463726i \(-0.153488\pi\)
\(194\) 4.65772 0.737711i 0.334405 0.0529646i
\(195\) 0.0715252 + 0.0519661i 0.00512203 + 0.00372137i
\(196\) 4.11040i 0.293600i
\(197\) −8.51171 + 11.7154i −0.606434 + 0.834685i −0.996278 0.0861961i \(-0.972529\pi\)
0.389844 + 0.920881i \(0.372529\pi\)
\(198\) 3.10563 + 6.09515i 0.220708 + 0.433163i
\(199\) 8.18953 16.0729i 0.580541 1.13938i −0.394820 0.918759i \(-0.629193\pi\)
0.975361 0.220617i \(-0.0708070\pi\)
\(200\) 6.70006 + 9.22184i 0.473766 + 0.652083i
\(201\) 0.401223 0.291506i 0.0283001 0.0205612i
\(202\) 6.25011 6.25011i 0.439756 0.439756i
\(203\) 27.2651 8.85895i 1.91363 0.621777i
\(204\) −0.173997 −0.0121822
\(205\) 4.48567 1.01227i 0.313293 0.0707000i
\(206\) −11.2949 −0.786952
\(207\) −2.54281 + 0.826209i −0.176738 + 0.0574255i
\(208\) −1.49779 + 1.49779i −0.103853 + 0.103853i
\(209\) 11.0397 8.02081i 0.763632 0.554811i
\(210\) 0.0594759 + 0.0818616i 0.00410423 + 0.00564898i
\(211\) 6.12962 12.0301i 0.421980 0.828183i −0.577946 0.816075i \(-0.696146\pi\)
0.999927 0.0121083i \(-0.00385430\pi\)
\(212\) 1.97381 + 3.87382i 0.135562 + 0.266055i
\(213\) −0.0360011 + 0.0495513i −0.00246676 + 0.00339520i
\(214\) 0.819492i 0.0560193i
\(215\) 6.30717 + 4.58242i 0.430145 + 0.312519i
\(216\) −0.921692 + 0.145982i −0.0627132 + 0.00993280i
\(217\) −3.42100 + 21.5994i −0.232233 + 1.46626i
\(218\) 3.87525 + 1.97454i 0.262465 + 0.133733i
\(219\) −0.281286 0.281286i −0.0190075 0.0190075i
\(220\) 3.21944 + 0.509910i 0.217055 + 0.0343781i
\(221\) 1.20923 3.72163i 0.0813418 0.250344i
\(222\) 0.0303764 + 0.191789i 0.00203873 + 0.0128720i
\(223\) −2.34538 7.21835i −0.157059 0.483377i 0.841305 0.540561i \(-0.181788\pi\)
−0.998364 + 0.0571840i \(0.981788\pi\)
\(224\) −16.3512 + 8.33138i −1.09251 + 0.556664i
\(225\) 12.7783 + 4.15193i 0.851888 + 0.276795i
\(226\) 10.7924 + 3.50667i 0.717902 + 0.233260i
\(227\) −19.3474 + 9.85797i −1.28413 + 0.654297i −0.956837 0.290626i \(-0.906136\pi\)
−0.327293 + 0.944923i \(0.606136\pi\)
\(228\) 0.121306 + 0.373343i 0.00803371 + 0.0247252i
\(229\) −0.463354 2.92550i −0.0306193 0.193323i 0.967637 0.252345i \(-0.0812017\pi\)
−0.998257 + 0.0590222i \(0.981202\pi\)
\(230\) 0.145473 0.447719i 0.00959219 0.0295217i
\(231\) −0.588775 0.0932527i −0.0387385 0.00613558i
\(232\) −16.4482 16.4482i −1.07988 1.07988i
\(233\) −15.5044 7.89988i −1.01573 0.517538i −0.134840 0.990867i \(-0.543052\pi\)
−0.880886 + 0.473329i \(0.843052\pi\)
\(234\) 0.692347 4.37130i 0.0452601 0.285761i
\(235\) −8.19210 + 1.29750i −0.534394 + 0.0846397i
\(236\) −5.25748 3.81978i −0.342233 0.248647i
\(237\) 0.383853i 0.0249339i
\(238\) 2.63249 3.62331i 0.170639 0.234864i
\(239\) −2.69685 5.29286i −0.174444 0.342366i 0.787186 0.616716i \(-0.211537\pi\)
−0.961630 + 0.274350i \(0.911537\pi\)
\(240\) −0.0210274 + 0.0412685i −0.00135731 + 0.00266387i
\(241\) 5.16221 + 7.10518i 0.332527 + 0.457685i 0.942240 0.334938i \(-0.108715\pi\)
−0.609713 + 0.792622i \(0.708715\pi\)
\(242\) −0.796678 + 0.578820i −0.0512124 + 0.0372080i
\(243\) −1.16692 + 1.16692i −0.0748578 + 0.0748578i
\(244\) −16.5864 + 5.38925i −1.06184 + 0.345011i
\(245\) 2.02136 0.129140
\(246\) 0.184014 + 0.221514i 0.0117323 + 0.0141232i
\(247\) −8.82851 −0.561745
\(248\) 16.8757 5.48324i 1.07161 0.348186i
\(249\) 0.339293 0.339293i 0.0215018 0.0215018i
\(250\) −4.04790 + 2.94098i −0.256012 + 0.186004i
\(251\) −3.01355 4.14780i −0.190214 0.261807i 0.703250 0.710943i \(-0.251732\pi\)
−0.893463 + 0.449137i \(0.851732\pi\)
\(252\) −6.22336 + 12.2140i −0.392035 + 0.769412i
\(253\) 1.25908 + 2.47108i 0.0791576 + 0.155355i
\(254\) 1.87216 2.57681i 0.117470 0.161684i
\(255\) 0.0855657i 0.00535833i
\(256\) 9.55736 + 6.94383i 0.597335 + 0.433989i
\(257\) −1.08576 + 0.171967i −0.0677277 + 0.0107270i −0.190206 0.981744i \(-0.560916\pi\)
0.122479 + 0.992471i \(0.460916\pi\)
\(258\) −0.0763750 + 0.482213i −0.00475490 + 0.0300212i
\(259\) 12.0520 + 6.14078i 0.748872 + 0.381569i
\(260\) −1.49119 1.49119i −0.0924799 0.0924799i
\(261\) −27.0808 4.28917i −1.67626 0.265493i
\(262\) −3.76242 + 11.5796i −0.232443 + 0.715387i
\(263\) −1.99659 12.6060i −0.123115 0.777317i −0.969562 0.244845i \(-0.921263\pi\)
0.846447 0.532472i \(-0.178737\pi\)
\(264\) 0.149467 + 0.460012i 0.00919905 + 0.0283118i
\(265\) −1.90502 + 0.970654i −0.117024 + 0.0596268i
\(266\) −9.60980 3.12241i −0.589215 0.191448i
\(267\) −0.822069 0.267107i −0.0503098 0.0163467i
\(268\) −10.5404 + 5.37059i −0.643856 + 0.328061i
\(269\) 0.170602 + 0.525059i 0.0104018 + 0.0320134i 0.956123 0.292967i \(-0.0946425\pi\)
−0.945721 + 0.324980i \(0.894642\pi\)
\(270\) −0.0302969 0.191287i −0.00184381 0.0116413i
\(271\) −0.852971 + 2.62518i −0.0518143 + 0.159468i −0.973615 0.228195i \(-0.926718\pi\)
0.921801 + 0.387663i \(0.126718\pi\)
\(272\) 2.02481 + 0.320698i 0.122772 + 0.0194452i
\(273\) 0.272711 + 0.272711i 0.0165052 + 0.0165052i
\(274\) −0.154450 0.0786962i −0.00933067 0.00475421i
\(275\) 2.18021 13.7653i 0.131472 0.830079i
\(276\) −0.0788002 + 0.0124807i −0.00474322 + 0.000751252i
\(277\) 17.2011 + 12.4974i 1.03352 + 0.750894i 0.969010 0.247023i \(-0.0794525\pi\)
0.0645072 + 0.997917i \(0.479452\pi\)
\(278\) 1.73026i 0.103774i
\(279\) 12.2936 16.9208i 0.736002 1.01302i
\(280\) −2.59643 5.09578i −0.155166 0.304531i
\(281\) −0.813754 + 1.59708i −0.0485445 + 0.0952739i −0.914004 0.405704i \(-0.867026\pi\)
0.865460 + 0.500978i \(0.167026\pi\)
\(282\) −0.305307 0.420219i −0.0181807 0.0250236i
\(283\) −3.00831 + 2.18566i −0.178825 + 0.129924i −0.673597 0.739099i \(-0.735252\pi\)
0.494772 + 0.869023i \(0.335252\pi\)
\(284\) 1.03307 1.03307i 0.0613014 0.0613014i
\(285\) −0.183597 + 0.0596544i −0.0108754 + 0.00353362i
\(286\) −4.59081 −0.271460
\(287\) 20.0177 1.30037i 1.18161 0.0767585i
\(288\) 17.5514 1.03423
\(289\) 12.5661 4.08296i 0.739180 0.240174i
\(290\) 3.41364 3.41364i 0.200456 0.200456i
\(291\) 0.317965 0.231015i 0.0186394 0.0135423i
\(292\) 5.57736 + 7.67658i 0.326390 + 0.449238i
\(293\) −6.31176 + 12.3875i −0.368737 + 0.723687i −0.998593 0.0530245i \(-0.983114\pi\)
0.629856 + 0.776712i \(0.283114\pi\)
\(294\) 0.0574688 + 0.112789i 0.00335165 + 0.00657798i
\(295\) 1.87844 2.58545i 0.109367 0.150531i
\(296\) 10.9751i 0.637917i
\(297\) 0.923059 + 0.670642i 0.0535613 + 0.0389146i
\(298\) −6.08835 + 0.964300i −0.352689 + 0.0558604i
\(299\) 0.280690 1.77220i 0.0162327 0.102489i
\(300\) 0.357230 + 0.182018i 0.0206247 + 0.0105088i
\(301\) 24.0479 + 24.0479i 1.38610 + 1.38610i
\(302\) 2.62817 + 0.416261i 0.151234 + 0.0239532i
\(303\) 0.227642 0.700610i 0.0130777 0.0402490i
\(304\) −0.723529 4.56818i −0.0414973 0.262003i
\(305\) −2.65025 8.15664i −0.151753 0.467048i
\(306\) −3.81654 + 1.94463i −0.218177 + 0.111167i
\(307\) −20.7993 6.75809i −1.18708 0.385705i −0.352086 0.935968i \(-0.614527\pi\)
−0.834991 + 0.550263i \(0.814527\pi\)
\(308\) 13.5233 + 4.39399i 0.770562 + 0.250371i
\(309\) −0.838745 + 0.427362i −0.0477145 + 0.0243118i
\(310\) 1.13798 + 3.50235i 0.0646331 + 0.198920i
\(311\) −2.49509 15.7534i −0.141483 0.893291i −0.951671 0.307120i \(-0.900635\pi\)
0.810188 0.586171i \(-0.199365\pi\)
\(312\) 0.0967015 0.297617i 0.00547464 0.0168492i
\(313\) −0.811177 0.128478i −0.0458504 0.00726199i 0.133467 0.991053i \(-0.457389\pi\)
−0.179318 + 0.983791i \(0.557389\pi\)
\(314\) 7.15796 + 7.15796i 0.403947 + 0.403947i
\(315\) −6.00645 3.06044i −0.338425 0.172436i
\(316\) 1.43233 9.04340i 0.0805751 0.508731i
\(317\) 27.9438 4.42587i 1.56948 0.248582i 0.689749 0.724048i \(-0.257721\pi\)
0.879734 + 0.475467i \(0.157721\pi\)
\(318\) −0.108322 0.0787007i −0.00607441 0.00441331i
\(319\) 28.4407i 1.59237i
\(320\) −0.927096 + 1.27604i −0.0518262 + 0.0713327i
\(321\) 0.0310069 + 0.0608545i 0.00173064 + 0.00339657i
\(322\) 0.932312 1.82977i 0.0519557 0.101969i
\(323\) 5.02232 + 6.91263i 0.279449 + 0.384629i
\(324\) 10.5933 7.69651i 0.588519 0.427584i
\(325\) −6.37586 + 6.37586i −0.353669 + 0.353669i
\(326\) −0.645108 + 0.209608i −0.0357292 + 0.0116091i
\(327\) 0.362481 0.0200453
\(328\) −8.31398 13.9930i −0.459063 0.772634i
\(329\) −36.1819 −1.99477
\(330\) −0.0954703 + 0.0310202i −0.00525547 + 0.00170760i
\(331\) 21.7469 21.7469i 1.19532 1.19532i 0.219762 0.975554i \(-0.429472\pi\)
0.975554 0.219762i \(-0.0705281\pi\)
\(332\) −9.25966 + 6.72753i −0.508190 + 0.369221i
\(333\) −7.60390 10.4659i −0.416691 0.573526i
\(334\) −5.67020 + 11.1284i −0.310260 + 0.608919i
\(335\) −2.64108 5.18341i −0.144297 0.283200i
\(336\) −0.118760 + 0.163460i −0.00647891 + 0.00891746i
\(337\) 26.0552i 1.41932i 0.704546 + 0.709658i \(0.251151\pi\)
−0.704546 + 0.709658i \(0.748849\pi\)
\(338\) −5.32301 3.86739i −0.289533 0.210358i
\(339\) 0.934115 0.147949i 0.0507341 0.00803550i
\(340\) −0.319286 + 2.01589i −0.0173157 + 0.109327i
\(341\) −19.3304 9.84934i −1.04680 0.533372i
\(342\) 6.83336 + 6.83336i 0.369506 + 0.369506i
\(343\) −12.9506 2.05118i −0.699268 0.110753i
\(344\) 8.52723 26.2441i 0.459758 1.41499i
\(345\) −0.00613760 0.0387513i −0.000330437 0.00208630i
\(346\) −2.75644 8.48345i −0.148187 0.456073i
\(347\) −5.78097 + 2.94555i −0.310339 + 0.158126i −0.602223 0.798328i \(-0.705718\pi\)
0.291884 + 0.956454i \(0.405718\pi\)
\(348\) −0.778122 0.252827i −0.0417117 0.0135530i
\(349\) 7.18918 + 2.33591i 0.384828 + 0.125038i 0.495041 0.868870i \(-0.335153\pi\)
−0.110213 + 0.993908i \(0.535153\pi\)
\(350\) −9.19508 + 4.68513i −0.491498 + 0.250431i
\(351\) −0.228109 0.702047i −0.0121756 0.0374725i
\(352\) −2.84801 17.9817i −0.151800 0.958425i
\(353\) −11.4959 + 35.3808i −0.611866 + 1.88313i −0.171899 + 0.985115i \(0.554990\pi\)
−0.439967 + 0.898014i \(0.645010\pi\)
\(354\) 0.197670 + 0.0313079i 0.0105060 + 0.00166399i
\(355\) 0.508029 + 0.508029i 0.0269634 + 0.0269634i
\(356\) 18.3709 + 9.36044i 0.973655 + 0.496102i
\(357\) 0.0583912 0.368668i 0.00309039 0.0195120i
\(358\) −1.55169 + 0.245764i −0.0820095 + 0.0129890i
\(359\) 17.5992 + 12.7866i 0.928849 + 0.674848i 0.945711 0.325009i \(-0.105367\pi\)
−0.0168617 + 0.999858i \(0.505367\pi\)
\(360\) 5.46979i 0.288283i
\(361\) 0.162984 0.224329i 0.00857813 0.0118068i
\(362\) −1.87354 3.67703i −0.0984711 0.193260i
\(363\) −0.0372597 + 0.0731262i −0.00195563 + 0.00383813i
\(364\) −5.40733 7.44255i −0.283421 0.390096i
\(365\) −3.77508 + 2.74276i −0.197597 + 0.143563i
\(366\) 0.379780 0.379780i 0.0198514 0.0198514i
\(367\) −16.6389 + 5.40631i −0.868544 + 0.282207i −0.709193 0.705015i \(-0.750940\pi\)
−0.159352 + 0.987222i \(0.550940\pi\)
\(368\) 0.940005 0.0490011
\(369\) −17.6230 7.58353i −0.917414 0.394783i
\(370\) 2.27777 0.118416
\(371\) −8.87032 + 2.88214i −0.460524 + 0.149633i
\(372\) 0.441313 0.441313i 0.0228810 0.0228810i
\(373\) 5.79680 4.21162i 0.300147 0.218070i −0.427510 0.904011i \(-0.640609\pi\)
0.727657 + 0.685941i \(0.240609\pi\)
\(374\) 2.61160 + 3.59456i 0.135043 + 0.185870i
\(375\) −0.189316 + 0.371553i −0.00977622 + 0.0191869i
\(376\) 13.3282 + 26.1581i 0.687349 + 1.34900i
\(377\) 10.8155 14.8862i 0.557026 0.766681i
\(378\) 0.844852i 0.0434545i
\(379\) 6.38423 + 4.63842i 0.327936 + 0.238260i 0.739554 0.673097i \(-0.235036\pi\)
−0.411618 + 0.911356i \(0.635036\pi\)
\(380\) 4.54807 0.720344i 0.233311 0.0369529i
\(381\) 0.0415265 0.262188i 0.00212747 0.0134323i
\(382\) 8.58807 + 4.37584i 0.439404 + 0.223887i
\(383\) −4.35320 4.35320i −0.222438 0.222438i 0.587086 0.809524i \(-0.300275\pi\)
−0.809524 + 0.587086i \(0.800275\pi\)
\(384\) 0.610873 + 0.0967528i 0.0311735 + 0.00493740i
\(385\) −2.16082 + 6.65031i −0.110125 + 0.338931i
\(386\) −1.90495 12.0274i −0.0969592 0.612177i
\(387\) −10.0511 30.9343i −0.510929 1.57248i
\(388\) −8.35313 + 4.25613i −0.424066 + 0.216072i
\(389\) −21.1299 6.86553i −1.07133 0.348096i −0.280324 0.959905i \(-0.590442\pi\)
−0.791005 + 0.611809i \(0.790442\pi\)
\(390\) 0.0617670 + 0.0200693i 0.00312769 + 0.00101625i
\(391\) −1.54729 + 0.788386i −0.0782501 + 0.0398704i
\(392\) −2.21093 6.80454i −0.111669 0.343681i
\(393\) 0.158740 + 1.00224i 0.00800735 + 0.0505564i
\(394\) −3.28722 + 10.1170i −0.165608 + 0.509688i
\(395\) 4.44724 + 0.704374i 0.223765 + 0.0354409i
\(396\) −9.61618 9.61618i −0.483231 0.483231i
\(397\) 5.81775 + 2.96429i 0.291984 + 0.148773i 0.593847 0.804578i \(-0.297608\pi\)
−0.301863 + 0.953351i \(0.597608\pi\)
\(398\) 2.07297 13.0882i 0.103909 0.656053i
\(399\) −0.831755 + 0.131737i −0.0416398 + 0.00659510i
\(400\) −3.82162 2.77657i −0.191081 0.138829i
\(401\) 21.3099i 1.06416i 0.846693 + 0.532082i \(0.178590\pi\)
−0.846693 + 0.532082i \(0.821410\pi\)
\(402\) 0.214139 0.294737i 0.0106803 0.0147001i
\(403\) 6.37228 + 12.5063i 0.317426 + 0.622984i
\(404\) −7.97745 + 15.6566i −0.396893 + 0.778946i
\(405\) 3.78488 + 5.20945i 0.188072 + 0.258859i
\(406\) 17.0375 12.3785i 0.845557 0.614333i
\(407\) −9.48858 + 9.48858i −0.470331 + 0.470331i
\(408\) −0.288042 + 0.0935904i −0.0142602 + 0.00463342i
\(409\) 3.89625 0.192657 0.0963287 0.995350i \(-0.469290\pi\)
0.0963287 + 0.995350i \(0.469290\pi\)
\(410\) 2.90409 1.72547i 0.143423 0.0852150i
\(411\) −0.0144469 −0.000712613
\(412\) 21.3552 6.93871i 1.05209 0.341846i
\(413\) 9.85779 9.85779i 0.485070 0.485070i
\(414\) −1.58896 + 1.15445i −0.0780932 + 0.0567380i
\(415\) −3.30838 4.55359i −0.162402 0.223527i
\(416\) −5.34742 + 10.4949i −0.262179 + 0.514555i
\(417\) 0.0654675 + 0.128487i 0.00320596 + 0.00629204i
\(418\) 5.89205 8.10971i 0.288190 0.396659i
\(419\) 14.8236i 0.724179i −0.932143 0.362089i \(-0.882063\pi\)
0.932143 0.362089i \(-0.117937\pi\)
\(420\) −0.162740 0.118238i −0.00794090 0.00576940i
\(421\) −10.9908 + 1.74076i −0.535657 + 0.0848397i −0.418402 0.908262i \(-0.637410\pi\)
−0.117255 + 0.993102i \(0.537410\pi\)
\(422\) 1.55156 9.79614i 0.0755286 0.476869i
\(423\) 30.8328 + 15.7101i 1.49914 + 0.763851i
\(424\) 5.35121 + 5.35121i 0.259878 + 0.259878i
\(425\) 8.61930 + 1.36516i 0.418098 + 0.0662202i
\(426\) −0.0139036 + 0.0427909i −0.000673633 + 0.00207323i
\(427\) −5.85265 36.9522i −0.283230 1.78824i
\(428\) −0.503433 1.54941i −0.0243343 0.0748934i
\(429\) −0.340908 + 0.173701i −0.0164592 + 0.00838638i
\(430\) 5.44667 + 1.76973i 0.262662 + 0.0853440i
\(431\) 25.1750 + 8.17986i 1.21264 + 0.394010i 0.844396 0.535720i \(-0.179960\pi\)
0.368242 + 0.929730i \(0.379960\pi\)
\(432\) 0.344570 0.175567i 0.0165781 0.00844697i
\(433\) 0.144494 + 0.444707i 0.00694395 + 0.0213713i 0.954468 0.298312i \(-0.0964235\pi\)
−0.947525 + 0.319683i \(0.896424\pi\)
\(434\) 2.51305 + 15.8668i 0.120630 + 0.761630i
\(435\) 0.124332 0.382654i 0.00596126 0.0183469i
\(436\) −8.53990 1.35259i −0.408987 0.0647772i
\(437\) 2.77037 + 2.77037i 0.132525 + 0.132525i
\(438\) −0.260371 0.132665i −0.0124410 0.00633900i
\(439\) −3.05677 + 19.2997i −0.145892 + 0.921123i 0.800788 + 0.598947i \(0.204414\pi\)
−0.946680 + 0.322176i \(0.895586\pi\)
\(440\) 5.60388 0.887568i 0.267155 0.0423131i
\(441\) −6.82272 4.95700i −0.324891 0.236047i
\(442\) 2.87459i 0.136730i
\(443\) 4.37823 6.02611i 0.208016 0.286309i −0.692243 0.721665i \(-0.743377\pi\)
0.900259 + 0.435355i \(0.143377\pi\)
\(444\) −0.175253 0.343953i −0.00831712 0.0163233i
\(445\) −4.60315 + 9.03419i −0.218210 + 0.428262i
\(446\) −3.27717 4.51063i −0.155178 0.213585i
\(447\) −0.415628 + 0.301971i −0.0196585 + 0.0142828i
\(448\) −4.86526 + 4.86526i −0.229862 + 0.229862i
\(449\) 24.2920 7.89296i 1.14641 0.372492i 0.326621 0.945155i \(-0.394090\pi\)
0.819790 + 0.572664i \(0.194090\pi\)
\(450\) 9.86997 0.465275
\(451\) −4.90981 + 19.2855i −0.231194 + 0.908121i
\(452\) −22.5594 −1.06110
\(453\) 0.210915 0.0685304i 0.00990964 0.00321984i
\(454\) −11.2791 + 11.2791i −0.529354 + 0.529354i
\(455\) 3.66000 2.65914i 0.171583 0.124663i
\(456\) 0.401632 + 0.552798i 0.0188081 + 0.0258872i
\(457\) 16.0293 31.4593i 0.749820 1.47161i −0.127571 0.991829i \(-0.540718\pi\)
0.877391 0.479776i \(-0.159282\pi\)
\(458\) −0.987815 1.93870i −0.0461576 0.0905893i
\(459\) −0.419930 + 0.577984i −0.0196007 + 0.0269780i
\(460\) 0.935866i 0.0436350i
\(461\) 23.0488 + 16.7459i 1.07349 + 0.779936i 0.976536 0.215353i \(-0.0690903\pi\)
0.0969530 + 0.995289i \(0.469090\pi\)
\(462\) −0.432511 + 0.0685030i −0.0201222 + 0.00318705i
\(463\) −2.00832 + 12.6801i −0.0933348 + 0.589293i 0.896048 + 0.443958i \(0.146426\pi\)
−0.989383 + 0.145335i \(0.953574\pi\)
\(464\) 8.58904 + 4.37633i 0.398736 + 0.203166i
\(465\) 0.217023 + 0.217023i 0.0100642 + 0.0100642i
\(466\) −12.6253 1.99965i −0.584856 0.0926321i
\(467\) 9.10432 28.0202i 0.421297 1.29662i −0.485198 0.874404i \(-0.661252\pi\)
0.906495 0.422216i \(-0.138748\pi\)
\(468\) 1.37638 + 8.69011i 0.0636231 + 0.401701i
\(469\) −7.84210 24.1355i −0.362114 1.11447i
\(470\) −5.42881 + 2.76612i −0.250412 + 0.127591i
\(471\) 0.802375 + 0.260708i 0.0369715 + 0.0120128i
\(472\) −10.7581 3.49551i −0.495180 0.160894i
\(473\) −30.0616 + 15.3172i −1.38224 + 0.704284i
\(474\) 0.0871355 + 0.268176i 0.00400227 + 0.0123177i
\(475\) −3.07996 19.4461i −0.141318 0.892248i
\(476\) −2.75134 + 8.46777i −0.126108 + 0.388120i
\(477\) 8.81037 + 1.39543i 0.403399 + 0.0638922i
\(478\) −3.08562 3.08562i −0.141133 0.141133i
\(479\) −23.8053 12.1294i −1.08769 0.554207i −0.184234 0.982882i \(-0.558980\pi\)
−0.903459 + 0.428675i \(0.858980\pi\)
\(480\) −0.0402905 + 0.254384i −0.00183900 + 0.0116110i
\(481\) 8.57480 1.35812i 0.390977 0.0619247i
\(482\) 5.21943 + 3.79214i 0.237739 + 0.172727i
\(483\) 0.171152i 0.00778768i
\(484\) 1.15069 1.58379i 0.0523041 0.0719904i
\(485\) −2.09302 4.10779i −0.0950393 0.186525i
\(486\) −0.550364 + 1.08015i −0.0249650 + 0.0489966i
\(487\) 6.82210 + 9.38981i 0.309139 + 0.425493i 0.935112 0.354351i \(-0.115298\pi\)
−0.625974 + 0.779844i \(0.715298\pi\)
\(488\) −24.5591 + 17.8432i −1.11174 + 0.807724i
\(489\) −0.0399741 + 0.0399741i −0.00180769 + 0.00180769i
\(490\) 1.41221 0.458853i 0.0637969 0.0207289i
\(491\) −26.8852 −1.21331 −0.606656 0.794964i \(-0.707489\pi\)
−0.606656 + 0.794964i \(0.707489\pi\)
\(492\) −0.483996 0.305771i −0.0218202 0.0137852i
\(493\) −17.8084 −0.802052
\(494\) −6.16797 + 2.00409i −0.277510 + 0.0901685i
\(495\) 4.72892 4.72892i 0.212549 0.212549i
\(496\) −5.94898 + 4.32218i −0.267117 + 0.194072i
\(497\) 1.84220 + 2.53557i 0.0826341 + 0.113736i
\(498\) 0.160024 0.314065i 0.00717084 0.0140736i
\(499\) 5.83710 + 11.4559i 0.261304 + 0.512839i 0.983964 0.178365i \(-0.0570808\pi\)
−0.722660 + 0.691204i \(0.757081\pi\)
\(500\) 5.84663 8.04720i 0.261469 0.359882i
\(501\) 1.04092i 0.0465050i
\(502\) −3.04695 2.21374i −0.135992 0.0988041i
\(503\) 11.9300 1.88953i 0.531934 0.0842501i 0.115311 0.993329i \(-0.463214\pi\)
0.416623 + 0.909079i \(0.363214\pi\)
\(504\) −3.73266 + 23.5671i −0.166266 + 1.04976i
\(505\) −7.69940 3.92304i −0.342619 0.174573i
\(506\) 1.44059 + 1.44059i 0.0640419 + 0.0640419i
\(507\) −0.541610 0.0857826i −0.0240537 0.00380974i
\(508\) −1.95669 + 6.02208i −0.0868141 + 0.267186i
\(509\) 4.55017 + 28.7287i 0.201683 + 1.27338i 0.855929 + 0.517094i \(0.172986\pi\)
−0.654246 + 0.756282i \(0.727014\pi\)
\(510\) −0.0194236 0.0597798i −0.000860093 0.00264709i
\(511\) −18.1370 + 9.24126i −0.802333 + 0.408809i
\(512\) −10.9621 3.56179i −0.484460 0.157411i
\(513\) 1.53294 + 0.498082i 0.0676809 + 0.0219908i
\(514\) −0.719519 + 0.366613i −0.0317366 + 0.0161706i
\(515\) 3.41223 + 10.5017i 0.150361 + 0.462762i
\(516\) −0.151833 0.958635i −0.00668407 0.0422015i
\(517\) 11.0921 34.1379i 0.487829 1.50138i
\(518\) 9.81397 + 1.55438i 0.431201 + 0.0682956i
\(519\) −0.525676 0.525676i −0.0230746 0.0230746i
\(520\) −3.27068 1.66649i −0.143429 0.0730806i
\(521\) 3.39562 21.4391i 0.148765 0.939264i −0.794510 0.607251i \(-0.792272\pi\)
0.943275 0.332013i \(-0.107728\pi\)
\(522\) −19.8934 + 3.15081i −0.870711 + 0.137907i
\(523\) −12.7639 9.27355i −0.558128 0.405504i 0.272645 0.962115i \(-0.412102\pi\)
−0.830773 + 0.556611i \(0.812102\pi\)
\(524\) 24.2047i 1.05739i
\(525\) −0.505546 + 0.695824i −0.0220638 + 0.0303683i
\(526\) −4.25648 8.35382i −0.185592 0.364244i
\(527\) 6.16728 12.1040i 0.268651 0.527257i
\(528\) −0.117818 0.162163i −0.00512737 0.00705722i
\(529\) 17.9632 13.0510i 0.781009 0.567436i
\(530\) −1.11058 + 1.11058i −0.0482406 + 0.0482406i
\(531\) −12.6807 + 4.12020i −0.550294 + 0.178801i
\(532\) 20.0874 0.870897
\(533\) 9.90382 8.22721i 0.428982 0.356360i
\(534\) −0.634966 −0.0274777
\(535\) 0.761946 0.247571i 0.0329418 0.0107034i
\(536\) −14.5602 + 14.5602i −0.628907 + 0.628907i
\(537\) −0.105928 + 0.0769612i −0.00457113 + 0.00332112i
\(538\) 0.238379 + 0.328101i 0.0102773 + 0.0141454i
\(539\) −3.97141 + 7.79434i −0.171061 + 0.335726i
\(540\) 0.174794 + 0.343052i 0.00752193 + 0.0147626i
\(541\) 2.48515 3.42051i 0.106845 0.147059i −0.752246 0.658882i \(-0.771030\pi\)
0.859091 + 0.511823i \(0.171030\pi\)
\(542\) 2.02768i 0.0870965i
\(543\) −0.278254 0.202163i −0.0119410 0.00867565i
\(544\) 11.2594 1.78332i 0.482743 0.0764590i
\(545\) 0.665157 4.19964i 0.0284922 0.179893i
\(546\) 0.252433 + 0.128621i 0.0108031 + 0.00550447i
\(547\) −1.68661 1.68661i −0.0721143 0.0721143i 0.670130 0.742244i \(-0.266238\pi\)
−0.742244 + 0.670130i \(0.766238\pi\)
\(548\) 0.340362 + 0.0539081i 0.0145396 + 0.00230284i
\(549\) −11.0572 + 34.0305i −0.471908 + 1.45238i
\(550\) −1.60157 10.1119i −0.0682913 0.431174i
\(551\) 12.4156 + 38.2113i 0.528923 + 1.62786i
\(552\) −0.123736 + 0.0630467i −0.00526656 + 0.00268344i
\(553\) 18.6807 + 6.06972i 0.794383 + 0.258111i
\(554\) 14.8544 + 4.82648i 0.631102 + 0.205057i
\(555\) 0.169144 0.0861834i 0.00717978 0.00365828i
\(556\) −1.06294 3.27139i −0.0450787 0.138738i
\(557\) 1.20951 + 7.63657i 0.0512487 + 0.323572i 0.999972 + 0.00746438i \(0.00237601\pi\)
−0.948723 + 0.316107i \(0.897624\pi\)
\(558\) 4.74780 14.6122i 0.200991 0.618585i
\(559\) 21.5595 + 3.41470i 0.911871 + 0.144426i
\(560\) 1.67589 + 1.67589i 0.0708191 + 0.0708191i
\(561\) 0.329941 + 0.168113i 0.0139301 + 0.00709774i
\(562\) −0.205981 + 1.30051i −0.00868878 + 0.0548588i
\(563\) 29.4356 4.66214i 1.24056 0.196486i 0.498543 0.866865i \(-0.333869\pi\)
0.742019 + 0.670379i \(0.233869\pi\)
\(564\) 0.835391 + 0.606947i 0.0351763 + 0.0255571i
\(565\) 11.0940i 0.466726i
\(566\) −1.60558 + 2.20989i −0.0674875 + 0.0928885i
\(567\) 12.7525 + 25.0282i 0.535556 + 1.05109i
\(568\) 1.15451 2.26586i 0.0484423 0.0950734i
\(569\) −5.19710 7.15320i −0.217874 0.299878i 0.686064 0.727541i \(-0.259337\pi\)
−0.903938 + 0.427663i \(0.859337\pi\)
\(570\) −0.114727 + 0.0833541i −0.00480539 + 0.00349132i
\(571\) 15.7965 15.7965i 0.661063 0.661063i −0.294567 0.955631i \(-0.595176\pi\)
0.955631 + 0.294567i \(0.0951756\pi\)
\(572\) 8.67981 2.82024i 0.362921 0.117920i
\(573\) 0.803308 0.0335587
\(574\) 13.6900 5.45256i 0.571411 0.227586i
\(575\) 4.00146 0.166872
\(576\) 6.25848 2.03350i 0.260770 0.0847293i
\(577\) 8.51989 8.51989i 0.354688 0.354688i −0.507163 0.861850i \(-0.669306\pi\)
0.861850 + 0.507163i \(0.169306\pi\)
\(578\) 7.85233 5.70505i 0.326614 0.237299i
\(579\) −0.596536 0.821061i −0.0247912 0.0341221i
\(580\) −4.35707 + 8.55122i −0.180917 + 0.355070i
\(581\) −11.1470 21.8772i −0.462456 0.907621i
\(582\) 0.169702 0.233575i 0.00703439 0.00968201i
\(583\) 9.25279i 0.383211i
\(584\) 13.3621 + 9.70816i 0.552929 + 0.401726i
\(585\) −4.27351 + 0.676857i −0.176688 + 0.0279846i
\(586\) −1.59766 + 10.0872i −0.0659988 + 0.416700i
\(587\) −22.9909 11.7145i −0.948936 0.483507i −0.0901991 0.995924i \(-0.528750\pi\)
−0.858737 + 0.512417i \(0.828750\pi\)
\(588\) −0.177945 0.177945i −0.00733831 0.00733831i
\(589\) −30.2710 4.79445i −1.24729 0.197552i
\(590\) 0.725454 2.23272i 0.0298664 0.0919195i
\(591\) 0.138690 + 0.875656i 0.00570495 + 0.0360197i
\(592\) 1.40547 + 4.32560i 0.0577646 + 0.177781i
\(593\) 18.5585 9.45605i 0.762108 0.388313i −0.0293248 0.999570i \(-0.509336\pi\)
0.791432 + 0.611257i \(0.209336\pi\)
\(594\) 0.797125 + 0.259002i 0.0327064 + 0.0106270i
\(595\) −4.16416 1.35302i −0.170714 0.0554684i
\(596\) 10.9188 5.56341i 0.447252 0.227886i
\(597\) −0.341280 1.05035i −0.0139676 0.0429880i
\(598\) −0.206193 1.30185i −0.00843187 0.0532367i
\(599\) −5.67622 + 17.4696i −0.231924 + 0.713789i 0.765591 + 0.643328i \(0.222447\pi\)
−0.997515 + 0.0704605i \(0.977553\pi\)
\(600\) 0.689280 + 0.109171i 0.0281397 + 0.00445689i
\(601\) −7.61945 7.61945i −0.310804 0.310804i 0.534417 0.845221i \(-0.320531\pi\)
−0.845221 + 0.534417i \(0.820531\pi\)
\(602\) 22.2598 + 11.3419i 0.907241 + 0.462263i
\(603\) −3.79685 + 23.9724i −0.154620 + 0.976230i
\(604\) −5.22478 + 0.827524i −0.212593 + 0.0336715i
\(605\) 0.778854 + 0.565870i 0.0316649 + 0.0230059i
\(606\) 0.541151i 0.0219827i
\(607\) −8.17357 + 11.2500i −0.331755 + 0.456622i −0.942011 0.335583i \(-0.891067\pi\)
0.610256 + 0.792205i \(0.291067\pi\)
\(608\) −11.6762 22.9159i −0.473534 0.929362i
\(609\) 0.796824 1.56385i 0.0322889 0.0633706i
\(610\) −3.70315 5.09695i −0.149936 0.206370i
\(611\) −18.7878 + 13.6501i −0.760073 + 0.552226i
\(612\) 6.02128 6.02128i 0.243396 0.243396i
\(613\) −14.1988 + 4.61346i −0.573482 + 0.186336i −0.581379 0.813633i \(-0.697487\pi\)
0.00789628 + 0.999969i \(0.497487\pi\)
\(614\) −16.0653 −0.648344
\(615\) 0.150368 0.238013i 0.00606343 0.00959761i
\(616\) 24.7505 0.997227
\(617\) 7.99439 2.59753i 0.321842 0.104573i −0.143640 0.989630i \(-0.545881\pi\)
0.465482 + 0.885057i \(0.345881\pi\)
\(618\) −0.488970 + 0.488970i −0.0196693 + 0.0196693i
\(619\) −22.0401 + 16.0131i −0.885866 + 0.643619i −0.934797 0.355183i \(-0.884418\pi\)
0.0489312 + 0.998802i \(0.484418\pi\)
\(620\) −4.30315 5.92278i −0.172819 0.237865i
\(621\) −0.148721 + 0.291881i −0.00596796 + 0.0117128i
\(622\) −5.31922 10.4396i −0.213281 0.418588i
\(623\) −25.9981 + 35.7834i −1.04159 + 1.43363i
\(624\) 0.129682i 0.00519145i
\(625\) −14.1818 10.3037i −0.567272 0.412148i
\(626\) −0.595887 + 0.0943792i −0.0238164 + 0.00377215i
\(627\) 0.130692 0.825154i 0.00521932 0.0329535i
\(628\) −17.9308 9.13619i −0.715516 0.364574i
\(629\) −5.94138 5.94138i −0.236898 0.236898i
\(630\) −4.89108 0.774672i −0.194865 0.0308637i
\(631\) 0.989181 3.04439i 0.0393787 0.121195i −0.929435 0.368987i \(-0.879705\pi\)
0.968813 + 0.247792i \(0.0797048\pi\)
\(632\) −2.49317 15.7413i −0.0991731 0.626154i
\(633\) −0.255437 0.786156i −0.0101527 0.0312469i
\(634\) 18.5181 9.43542i 0.735446 0.374728i
\(635\) −2.96145 0.962235i −0.117522 0.0381851i
\(636\) 0.253152 + 0.0822539i 0.0100381 + 0.00326158i
\(637\) 5.04275 2.56941i 0.199801 0.101804i
\(638\) 6.45610 + 19.8698i 0.255599 + 0.786654i
\(639\) −0.468913 2.96060i −0.0185499 0.117120i
\(640\) 2.24192 6.89991i 0.0886196 0.272743i
\(641\) −42.6511 6.75528i −1.68462 0.266817i −0.760615 0.649203i \(-0.775103\pi\)
−0.924003 + 0.382385i \(0.875103\pi\)
\(642\) 0.0354769 + 0.0354769i 0.00140016 + 0.00140016i
\(643\) −3.56855 1.81827i −0.140730 0.0717054i 0.382208 0.924076i \(-0.375164\pi\)
−0.522937 + 0.852371i \(0.675164\pi\)
\(644\) −0.638648 + 4.03226i −0.0251663 + 0.158893i
\(645\) 0.471424 0.0746663i 0.0185623 0.00293998i
\(646\) 5.07799 + 3.68937i 0.199791 + 0.145156i
\(647\) 16.9523i 0.666465i 0.942845 + 0.333232i \(0.108139\pi\)
−0.942845 + 0.333232i \(0.891861\pi\)
\(648\) 13.3968 18.4391i 0.526277 0.724358i
\(649\) 6.27886 + 12.3230i 0.246467 + 0.483718i
\(650\) −3.00711 + 5.90178i −0.117948 + 0.231487i
\(651\) 0.786964 + 1.08316i 0.0308436 + 0.0424525i
\(652\) 1.09093 0.792609i 0.0427242 0.0310410i
\(653\) 12.3449 12.3449i 0.483092 0.483092i −0.423026 0.906118i \(-0.639032\pi\)
0.906118 + 0.423026i \(0.139032\pi\)
\(654\) 0.253245 0.0822842i 0.00990265 0.00321757i
\(655\) 11.9031 0.465091
\(656\) 5.06870 + 4.45034i 0.197900 + 0.173757i
\(657\) 19.4682 0.759527
\(658\) −25.2782 + 8.21337i −0.985445 + 0.320191i
\(659\) −19.4232 + 19.4232i −0.756620 + 0.756620i −0.975706 0.219086i \(-0.929692\pi\)
0.219086 + 0.975706i \(0.429692\pi\)
\(660\) 0.161449 0.117299i 0.00628438 0.00456587i
\(661\) −4.42412 6.08928i −0.172078 0.236846i 0.714264 0.699877i \(-0.246762\pi\)
−0.886342 + 0.463031i \(0.846762\pi\)
\(662\) 10.2567 20.1299i 0.398637 0.782369i
\(663\) −0.108765 0.213464i −0.00422409 0.00829024i
\(664\) −11.7102 + 16.1177i −0.454443 + 0.625488i
\(665\) 9.87829i 0.383063i
\(666\) −7.68818 5.58579i −0.297911 0.216445i
\(667\) −8.06515 + 1.27739i −0.312284 + 0.0494609i
\(668\) 3.88417 24.5237i 0.150283 0.948851i
\(669\) −0.414026 0.210957i −0.0160072 0.00815607i
\(670\) −3.02181 3.02181i −0.116743 0.116743i
\(671\) 36.6589 + 5.80620i 1.41520 + 0.224146i
\(672\) −0.347191 + 1.06854i −0.0133932 + 0.0412199i
\(673\) 6.65260 + 42.0029i 0.256439 + 1.61909i 0.694049 + 0.719927i \(0.255825\pi\)
−0.437610 + 0.899165i \(0.644175\pi\)
\(674\) 5.91459 + 18.2032i 0.227822 + 0.701163i
\(675\) 1.46678 0.747363i 0.0564565 0.0287660i
\(676\) 12.4400 + 4.04200i 0.478461 + 0.155462i
\(677\) −44.0320 14.3069i −1.69229 0.549857i −0.705056 0.709152i \(-0.749078\pi\)
−0.987231 + 0.159294i \(0.949078\pi\)
\(678\) 0.619027 0.315410i 0.0237736 0.0121132i
\(679\) −6.21477 19.1271i −0.238501 0.734030i
\(680\) 0.555760 + 3.50893i 0.0213124 + 0.134561i
\(681\) −0.410808 + 1.26434i −0.0157422 + 0.0484495i
\(682\) −15.7409 2.49311i −0.602749 0.0954661i
\(683\) 10.8884 + 10.8884i 0.416633 + 0.416633i 0.884041 0.467409i \(-0.154812\pi\)
−0.467409 + 0.884041i \(0.654812\pi\)
\(684\) −17.1177 8.72189i −0.654511 0.333490i
\(685\) −0.0265102 + 0.167379i −0.00101290 + 0.00639522i
\(686\) −9.51347 + 1.50679i −0.363226 + 0.0575293i
\(687\) −0.146708 0.106590i −0.00559726 0.00406665i
\(688\) 11.4355i 0.435975i
\(689\) −3.51868 + 4.84304i −0.134051 + 0.184505i
\(690\) −0.0130846 0.0256800i −0.000498123 0.000977622i
\(691\) 19.4697 38.2115i 0.740664 1.45363i −0.145060 0.989423i \(-0.546338\pi\)
0.885724 0.464212i \(-0.153662\pi\)
\(692\) 10.4232 + 14.3462i 0.396229 + 0.545363i
\(693\) 23.6020 17.1479i 0.896567 0.651394i
\(694\) −3.37018 + 3.37018i −0.127930 + 0.127930i
\(695\) 1.60876 0.522718i 0.0610237 0.0198278i
\(696\) −1.42413 −0.0539815
\(697\) −12.0759 3.07433i −0.457406 0.116449i
\(698\) 5.55292 0.210181
\(699\) −1.01320 + 0.329209i −0.0383228 + 0.0124518i
\(700\) 14.5069 14.5069i 0.548309 0.548309i
\(701\) 23.6599 17.1899i 0.893623 0.649255i −0.0431974 0.999067i \(-0.513754\pi\)
0.936820 + 0.349812i \(0.113754\pi\)
\(702\) −0.318733 0.438698i −0.0120298 0.0165576i
\(703\) −8.60616 + 16.8905i −0.324587 + 0.637039i
\(704\) −3.09890 6.08193i −0.116794 0.229222i
\(705\) −0.298476 + 0.410817i −0.0112413 + 0.0154723i
\(706\) 27.3281i 1.02851i
\(707\) −30.4964 22.1570i −1.14694 0.833298i
\(708\) −0.392966 + 0.0622398i −0.0147686 + 0.00233911i
\(709\) 1.32698 8.37821i 0.0498357 0.314650i −0.950160 0.311762i \(-0.899081\pi\)
0.999996 0.00288796i \(-0.000919268\pi\)
\(710\) 0.470254 + 0.239606i 0.0176483 + 0.00899227i
\(711\) −13.2835 13.2835i −0.498170 0.498170i
\(712\) 35.4468 + 5.61423i 1.32843 + 0.210402i
\(713\) 1.92484 5.92406i 0.0720860 0.221858i
\(714\) −0.0428939 0.270822i −0.00160527 0.0101352i
\(715\) 1.38690 + 4.26844i 0.0518671 + 0.159631i
\(716\) 2.78279 1.41790i 0.103998 0.0529896i
\(717\) −0.345884 0.112385i −0.0129173 0.00419708i
\(718\) 15.1981 + 4.93816i 0.567188 + 0.184291i
\(719\) 34.3184 17.4861i 1.27986 0.652121i 0.324031 0.946046i \(-0.394962\pi\)
0.955828 + 0.293926i \(0.0949618\pi\)
\(720\) −0.700460 2.15579i −0.0261046 0.0803417i
\(721\) 7.53535 + 47.5763i 0.280631 + 1.77183i
\(722\) 0.0629445 0.193723i 0.00234255 0.00720964i
\(723\) 0.531071 + 0.0841134i 0.0197507 + 0.00312821i
\(724\) 5.80117 + 5.80117i 0.215599 + 0.215599i
\(725\) 36.5623 + 18.6294i 1.35789 + 0.691879i
\(726\) −0.00943133 + 0.0595471i −0.000350029 + 0.00221000i
\(727\) −51.1019 + 8.09374i −1.89526 + 0.300180i −0.991730 0.128338i \(-0.959036\pi\)
−0.903533 + 0.428518i \(0.859036\pi\)
\(728\) −12.9548 9.41220i −0.480136 0.348839i
\(729\) 26.7978i 0.992511i
\(730\) −2.01482 + 2.77316i −0.0745718 + 0.102639i
\(731\) −9.59102 18.8234i −0.354737 0.696210i
\(732\) −0.484739 + 0.951354i −0.0179165 + 0.0351631i
\(733\) 0.369332 + 0.508342i 0.0136416 + 0.0187760i 0.815783 0.578358i \(-0.196306\pi\)
−0.802142 + 0.597134i \(0.796306\pi\)
\(734\) −10.3974 + 7.55415i −0.383775 + 0.278829i
\(735\) 0.0875072 0.0875072i 0.00322775 0.00322775i
\(736\) 4.97128 1.61527i 0.183244 0.0595396i
\(737\) 25.1762 0.927376
\(738\) −14.0336 1.29772i −0.516584 0.0477696i
\(739\) 40.6971 1.49707 0.748533 0.663097i \(-0.230758\pi\)
0.748533 + 0.663097i \(0.230758\pi\)
\(740\) −4.30656 + 1.39929i −0.158312 + 0.0514388i
\(741\) −0.382198 + 0.382198i −0.0140404 + 0.0140404i
\(742\) −5.54292 + 4.02717i −0.203487 + 0.147842i
\(743\) 9.43650 + 12.9882i 0.346192 + 0.476492i 0.946237 0.323474i \(-0.104851\pi\)
−0.600045 + 0.799966i \(0.704851\pi\)
\(744\) 0.493193 0.967945i 0.0180813 0.0354866i
\(745\) 2.73590 + 5.36950i 0.100236 + 0.196723i
\(746\) 3.09384 4.25830i 0.113273 0.155908i
\(747\) 23.4830i 0.859196i
\(748\) −7.14595 5.19184i −0.261282 0.189832i
\(749\) 3.45186 0.546721i 0.126128 0.0199768i
\(750\) −0.0479204 + 0.302558i −0.00174981 + 0.0110478i
\(751\) 26.2079 + 13.3536i 0.956339 + 0.487279i 0.861245 0.508189i \(-0.169685\pi\)
0.0950935 + 0.995468i \(0.469685\pi\)
\(752\) −8.60280 8.60280i −0.313712 0.313712i
\(753\) −0.310024 0.0491030i −0.0112979 0.00178941i
\(754\) 4.17694 12.8553i 0.152115 0.468162i
\(755\) −0.406949 2.56937i −0.0148104 0.0935090i
\(756\) 0.519012 + 1.59735i 0.0188763 + 0.0580952i
\(757\) 32.6350 16.6284i 1.18614 0.604369i 0.254260 0.967136i \(-0.418168\pi\)
0.931880 + 0.362767i \(0.118168\pi\)
\(758\) 5.51323 + 1.79136i 0.200249 + 0.0650650i
\(759\) 0.161483 + 0.0524691i 0.00586147 + 0.00190451i
\(760\) 7.14161 3.63883i 0.259053 0.131994i
\(761\) −8.21482 25.2826i −0.297787 0.916494i −0.982271 0.187466i \(-0.939972\pi\)
0.684484 0.729028i \(-0.260028\pi\)
\(762\) −0.0305052 0.192602i −0.00110509 0.00697723i
\(763\) 5.73178 17.6406i