Properties

Label 384.2.v.a.13.13
Level $384$
Weight $2$
Character 384.13
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 13.13
Character \(\chi\) \(=\) 384.13
Dual form 384.2.v.a.325.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.542361 - 1.30608i) q^{2} +(0.290285 + 0.956940i) q^{3} +(-1.41169 + 1.41673i) q^{4} +(0.155407 + 1.57788i) q^{5} +(1.09240 - 0.898142i) q^{6} +(0.0321569 - 0.0481261i) q^{7} +(2.61601 + 1.07540i) q^{8} +(-0.831470 + 0.555570i) q^{9} +O(q^{10})\) \(q+(-0.542361 - 1.30608i) q^{2} +(0.290285 + 0.956940i) q^{3} +(-1.41169 + 1.41673i) q^{4} +(0.155407 + 1.57788i) q^{5} +(1.09240 - 0.898142i) q^{6} +(0.0321569 - 0.0481261i) q^{7} +(2.61601 + 1.07540i) q^{8} +(-0.831470 + 0.555570i) q^{9} +(1.97655 - 1.05875i) q^{10} +(-4.37401 + 2.33796i) q^{11} +(-1.76552 - 0.939647i) q^{12} +(-4.81489 - 0.474226i) q^{13} +(-0.0802972 - 0.0158977i) q^{14} +(-1.46482 + 0.606749i) q^{15} +(-0.0142664 - 3.99997i) q^{16} +(0.601152 + 0.249005i) q^{17} +(1.17658 + 0.784646i) q^{18} +(-1.22364 + 1.00422i) q^{19} +(-2.45482 - 2.00730i) q^{20} +(0.0553885 + 0.0168019i) q^{21} +(5.42586 + 4.44479i) q^{22} +(-1.04724 + 5.26485i) q^{23} +(-0.269704 + 2.81554i) q^{24} +(2.43838 - 0.485024i) q^{25} +(1.99203 + 6.54584i) q^{26} +(-0.773010 - 0.634393i) q^{27} +(0.0227864 + 0.113497i) q^{28} +(-3.92836 + 7.34945i) q^{29} +(1.58692 + 1.58410i) q^{30} +(-0.512601 + 0.512601i) q^{31} +(-5.21655 + 2.18806i) q^{32} +(-3.50700 - 3.50700i) q^{33} +(-0.000820501 - 0.920203i) q^{34} +(0.0809345 + 0.0432604i) q^{35} +(0.386682 - 1.96226i) q^{36} +(6.25335 - 7.61973i) q^{37} +(1.97525 + 1.05353i) q^{38} +(-0.943884 - 4.74523i) q^{39} +(-1.29030 + 4.29487i) q^{40} +(10.1759 + 2.02412i) q^{41} +(-0.00809591 - 0.0814545i) q^{42} +(0.0283767 - 0.0935456i) q^{43} +(2.86248 - 9.49728i) q^{44} +(-1.00584 - 1.22562i) q^{45} +(7.44430 - 1.48766i) q^{46} +(-2.08609 + 5.03627i) q^{47} +(3.82360 - 1.17478i) q^{48} +(2.67750 + 6.46406i) q^{49} +(-1.95596 - 2.92166i) q^{50} +(-0.0637780 + 0.647549i) q^{51} +(7.46899 - 6.15196i) q^{52} +(-3.80411 - 7.11700i) q^{53} +(-0.409318 + 1.35368i) q^{54} +(-4.36877 - 6.53832i) q^{55} +(0.135878 - 0.0913171i) q^{56} +(-1.31618 - 0.879445i) q^{57} +(11.7296 + 1.14470i) q^{58} +(-6.36002 + 0.626407i) q^{59} +(1.20827 - 2.93180i) q^{60} +(4.53892 - 1.37687i) q^{61} +(0.947512 + 0.391483i) q^{62} +0.0578808i q^{63} +(5.68704 + 5.62651i) q^{64} -7.67101i q^{65} +(-2.67836 + 6.48248i) q^{66} +(-3.87274 + 1.17478i) q^{67} +(-1.20141 + 0.500154i) q^{68} +(-5.34214 + 0.526155i) q^{69} +(0.0126058 - 0.129170i) q^{70} +(1.73828 + 1.16148i) q^{71} +(-2.77259 + 0.559217i) q^{72} +(5.28352 + 7.90735i) q^{73} +(-13.3435 - 4.03473i) q^{74} +(1.17196 + 2.19259i) q^{75} +(0.304695 - 3.15122i) q^{76} +(-0.0281376 + 0.285686i) q^{77} +(-5.68572 + 3.80641i) q^{78} +(-3.36565 - 8.12539i) q^{79} +(6.30925 - 0.644136i) q^{80} +(0.382683 - 0.923880i) q^{81} +(-2.87537 - 14.3884i) q^{82} +(8.89528 + 10.8389i) q^{83} +(-0.101995 + 0.0547516i) q^{84} +(-0.299476 + 0.987241i) q^{85} +(-0.137568 + 0.0136732i) q^{86} +(-8.17333 - 1.62578i) q^{87} +(-13.9567 + 1.41232i) q^{88} +(-2.14254 - 10.7713i) q^{89} +(-1.05523 + 1.97843i) q^{90} +(-0.177655 + 0.216473i) q^{91} +(-5.98050 - 8.91599i) q^{92} +(-0.639328 - 0.341728i) q^{93} +(7.70919 - 0.00687391i) q^{94} +(-1.77470 - 1.77470i) q^{95} +(-3.60813 - 4.35676i) q^{96} +(10.4308 - 10.4308i) q^{97} +(6.99041 - 7.00289i) q^{98} +(2.33796 - 4.37401i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q + O(q^{10}) \) \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{15}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.542361 1.30608i −0.383507 0.923538i
\(3\) 0.290285 + 0.956940i 0.167596 + 0.552490i
\(4\) −1.41169 + 1.41673i −0.705845 + 0.708367i
\(5\) 0.155407 + 1.57788i 0.0695003 + 0.705648i 0.965292 + 0.261174i \(0.0841095\pi\)
−0.895792 + 0.444474i \(0.853390\pi\)
\(6\) 1.09240 0.898142i 0.445971 0.366665i
\(7\) 0.0321569 0.0481261i 0.0121542 0.0181900i −0.825343 0.564632i \(-0.809018\pi\)
0.837497 + 0.546442i \(0.184018\pi\)
\(8\) 2.61601 + 1.07540i 0.924900 + 0.380211i
\(9\) −0.831470 + 0.555570i −0.277157 + 0.185190i
\(10\) 1.97655 1.05875i 0.625039 0.334807i
\(11\) −4.37401 + 2.33796i −1.31881 + 0.704921i −0.972435 0.233173i \(-0.925089\pi\)
−0.346380 + 0.938094i \(0.612589\pi\)
\(12\) −1.76552 0.939647i −0.509662 0.271253i
\(13\) −4.81489 0.474226i −1.33541 0.131527i −0.595025 0.803708i \(-0.702858\pi\)
−0.740387 + 0.672181i \(0.765358\pi\)
\(14\) −0.0802972 0.0158977i −0.0214603 0.00424884i
\(15\) −1.46482 + 0.606749i −0.378215 + 0.156662i
\(16\) −0.0142664 3.99997i −0.00356660 0.999994i
\(17\) 0.601152 + 0.249005i 0.145801 + 0.0603927i 0.454391 0.890803i \(-0.349857\pi\)
−0.308590 + 0.951195i \(0.599857\pi\)
\(18\) 1.17658 + 0.784646i 0.277322 + 0.184943i
\(19\) −1.22364 + 1.00422i −0.280723 + 0.230383i −0.764209 0.644969i \(-0.776870\pi\)
0.483486 + 0.875352i \(0.339370\pi\)
\(20\) −2.45482 2.00730i −0.548914 0.448846i
\(21\) 0.0553885 + 0.0168019i 0.0120868 + 0.00366648i
\(22\) 5.42586 + 4.44479i 1.15680 + 0.947633i
\(23\) −1.04724 + 5.26485i −0.218365 + 1.09780i 0.703621 + 0.710575i \(0.251565\pi\)
−0.921987 + 0.387222i \(0.873435\pi\)
\(24\) −0.269704 + 2.81554i −0.0550531 + 0.574719i
\(25\) 2.43838 0.485024i 0.487676 0.0970049i
\(26\) 1.99203 + 6.54584i 0.390670 + 1.28374i
\(27\) −0.773010 0.634393i −0.148766 0.122089i
\(28\) 0.0227864 + 0.113497i 0.00430623 + 0.0214489i
\(29\) −3.92836 + 7.34945i −0.729479 + 1.36476i 0.193959 + 0.981010i \(0.437867\pi\)
−0.923438 + 0.383749i \(0.874633\pi\)
\(30\) 1.58692 + 1.58410i 0.289732 + 0.289215i
\(31\) −0.512601 + 0.512601i −0.0920658 + 0.0920658i −0.751640 0.659574i \(-0.770737\pi\)
0.659574 + 0.751640i \(0.270737\pi\)
\(32\) −5.21655 + 2.18806i −0.922164 + 0.386799i
\(33\) −3.50700 3.50700i −0.610490 0.610490i
\(34\) −0.000820501 0.920203i −0.000140715 0.157814i
\(35\) 0.0809345 + 0.0432604i 0.0136804 + 0.00731235i
\(36\) 0.386682 1.96226i 0.0644470 0.327044i
\(37\) 6.25335 7.61973i 1.02804 1.25268i 0.0609814 0.998139i \(-0.480577\pi\)
0.967063 0.254537i \(-0.0819230\pi\)
\(38\) 1.97525 + 1.05353i 0.320427 + 0.170905i
\(39\) −0.943884 4.74523i −0.151142 0.759844i
\(40\) −1.29030 + 4.29487i −0.204014 + 0.679079i
\(41\) 10.1759 + 2.02412i 1.58921 + 0.316114i 0.908967 0.416869i \(-0.136872\pi\)
0.680247 + 0.732983i \(0.261872\pi\)
\(42\) −0.00809591 0.0814545i −0.00124923 0.0125687i
\(43\) 0.0283767 0.0935456i 0.00432741 0.0142656i −0.954750 0.297409i \(-0.903877\pi\)
0.959077 + 0.283144i \(0.0913774\pi\)
\(44\) 2.86248 9.49728i 0.431536 1.43177i
\(45\) −1.00584 1.22562i −0.149941 0.182704i
\(46\) 7.44430 1.48766i 1.09760 0.219344i
\(47\) −2.08609 + 5.03627i −0.304288 + 0.734616i 0.695582 + 0.718447i \(0.255147\pi\)
−0.999869 + 0.0161684i \(0.994853\pi\)
\(48\) 3.82360 1.17478i 0.551888 0.169565i
\(49\) 2.67750 + 6.46406i 0.382500 + 0.923437i
\(50\) −1.95596 2.92166i −0.276615 0.413186i
\(51\) −0.0637780 + 0.647549i −0.00893071 + 0.0906750i
\(52\) 7.46899 6.15196i 1.03576 0.853124i
\(53\) −3.80411 7.11700i −0.522535 0.977595i −0.995340 0.0964276i \(-0.969258\pi\)
0.472805 0.881167i \(-0.343242\pi\)
\(54\) −0.409318 + 1.35368i −0.0557011 + 0.184213i
\(55\) −4.36877 6.53832i −0.589084 0.881627i
\(56\) 0.135878 0.0913171i 0.0181574 0.0122028i
\(57\) −1.31618 0.879445i −0.174333 0.116485i
\(58\) 11.7296 + 1.14470i 1.54017 + 0.150307i
\(59\) −6.36002 + 0.626407i −0.828004 + 0.0815513i −0.503135 0.864208i \(-0.667820\pi\)
−0.324869 + 0.945759i \(0.605320\pi\)
\(60\) 1.20827 2.93180i 0.155987 0.378494i
\(61\) 4.53892 1.37687i 0.581149 0.176290i 0.0139960 0.999902i \(-0.495545\pi\)
0.567153 + 0.823612i \(0.308045\pi\)
\(62\) 0.947512 + 0.391483i 0.120334 + 0.0497184i
\(63\) 0.0578808i 0.00729230i
\(64\) 5.68704 + 5.62651i 0.710880 + 0.703314i
\(65\) 7.67101i 0.951472i
\(66\) −2.67836 + 6.48248i −0.329683 + 0.797938i
\(67\) −3.87274 + 1.17478i −0.473131 + 0.143523i −0.517840 0.855477i \(-0.673264\pi\)
0.0447094 + 0.999000i \(0.485764\pi\)
\(68\) −1.20141 + 0.500154i −0.145693 + 0.0606526i
\(69\) −5.34214 + 0.526155i −0.643119 + 0.0633416i
\(70\) 0.0126058 0.129170i 0.00150668 0.0154387i
\(71\) 1.73828 + 1.16148i 0.206296 + 0.137843i 0.654427 0.756125i \(-0.272910\pi\)
−0.448131 + 0.893968i \(0.647910\pi\)
\(72\) −2.77259 + 0.559217i −0.326753 + 0.0659044i
\(73\) 5.28352 + 7.90735i 0.618390 + 0.925486i 0.999999 + 0.00116213i \(0.000369919\pi\)
−0.381610 + 0.924324i \(0.624630\pi\)
\(74\) −13.3435 4.03473i −1.55116 0.469028i
\(75\) 1.17196 + 2.19259i 0.135327 + 0.253179i
\(76\) 0.304695 3.15122i 0.0349509 0.361470i
\(77\) −0.0281376 + 0.285686i −0.00320658 + 0.0325569i
\(78\) −5.68572 + 3.80641i −0.643781 + 0.430992i
\(79\) −3.36565 8.12539i −0.378665 0.914178i −0.992217 0.124524i \(-0.960260\pi\)
0.613552 0.789655i \(-0.289740\pi\)
\(80\) 6.30925 0.644136i 0.705396 0.0720166i
\(81\) 0.382683 0.923880i 0.0425204 0.102653i
\(82\) −2.87537 14.3884i −0.317531 1.58893i
\(83\) 8.89528 + 10.8389i 0.976384 + 1.18973i 0.981834 + 0.189742i \(0.0607652\pi\)
−0.00545011 + 0.999985i \(0.501735\pi\)
\(84\) −0.101995 + 0.0547516i −0.0111286 + 0.00597389i
\(85\) −0.299476 + 0.987241i −0.0324828 + 0.107081i
\(86\) −0.137568 + 0.0136732i −0.0148344 + 0.00147442i
\(87\) −8.17333 1.62578i −0.876273 0.174301i
\(88\) −13.9567 + 1.41232i −1.48779 + 0.150554i
\(89\) −2.14254 10.7713i −0.227109 1.14175i −0.911075 0.412240i \(-0.864747\pi\)
0.683967 0.729513i \(-0.260253\pi\)
\(90\) −1.05523 + 1.97843i −0.111231 + 0.208545i
\(91\) −0.177655 + 0.216473i −0.0186233 + 0.0226925i
\(92\) −5.98050 8.91599i −0.623510 0.929557i
\(93\) −0.639328 0.341728i −0.0662953 0.0354356i
\(94\) 7.70919 0.00687391i 0.795142 0.000708990i
\(95\) −1.77470 1.77470i −0.182080 0.182080i
\(96\) −3.60813 4.35676i −0.368253 0.444660i
\(97\) 10.4308 10.4308i 1.05909 1.05909i 0.0609440 0.998141i \(-0.480589\pi\)
0.998141 0.0609440i \(-0.0194111\pi\)
\(98\) 6.99041 7.00289i 0.706138 0.707398i
\(99\) 2.33796 4.37401i 0.234974 0.439605i
\(100\) −2.75509 + 4.13924i −0.275509 + 0.413924i
\(101\) −4.84371 3.97513i −0.481967 0.395540i 0.361795 0.932258i \(-0.382164\pi\)
−0.843762 + 0.536718i \(0.819664\pi\)
\(102\) 0.880341 0.267906i 0.0871668 0.0265267i
\(103\) −14.2918 + 2.84281i −1.40821 + 0.280110i −0.839916 0.542716i \(-0.817396\pi\)
−0.568293 + 0.822826i \(0.692396\pi\)
\(104\) −12.0858 6.41851i −1.18511 0.629387i
\(105\) −0.0179036 + 0.0900074i −0.00174721 + 0.00878382i
\(106\) −7.23216 + 8.82846i −0.702450 + 0.857496i
\(107\) 9.91454 + 3.00754i 0.958475 + 0.290750i 0.730497 0.682916i \(-0.239289\pi\)
0.227978 + 0.973666i \(0.426789\pi\)
\(108\) 1.99002 0.199583i 0.191489 0.0192049i
\(109\) −6.57417 + 5.39528i −0.629691 + 0.516774i −0.894234 0.447600i \(-0.852279\pi\)
0.264543 + 0.964374i \(0.414779\pi\)
\(110\) −6.17012 + 9.25209i −0.588298 + 0.882152i
\(111\) 9.10688 + 3.77219i 0.864387 + 0.358041i
\(112\) −0.192962 0.127940i −0.0182332 0.0120892i
\(113\) 8.96291 3.71256i 0.843159 0.349248i 0.0810608 0.996709i \(-0.474169\pi\)
0.762098 + 0.647461i \(0.224169\pi\)
\(114\) −0.434779 + 2.19602i −0.0407208 + 0.205676i
\(115\) −8.47003 0.834225i −0.789834 0.0777919i
\(116\) −4.86658 15.9406i −0.451851 1.48005i
\(117\) 4.26690 2.28071i 0.394475 0.210852i
\(118\) 4.26756 + 7.96695i 0.392861 + 0.733417i
\(119\) 0.0313148 0.0209239i 0.00287063 0.00191809i
\(120\) −4.48449 + 0.0119958i −0.409376 + 0.00109506i
\(121\) 7.55468 11.3064i 0.686789 1.02785i
\(122\) −4.26003 5.18143i −0.385685 0.469105i
\(123\) 1.01696 + 10.3253i 0.0916959 + 0.931004i
\(124\) −0.00258553 1.44985i −0.000232187 0.130200i
\(125\) 3.44550 + 11.3583i 0.308175 + 1.01592i
\(126\) 0.0755970 0.0313923i 0.00673471 0.00279665i
\(127\) −2.23986 −0.198756 −0.0993779 0.995050i \(-0.531685\pi\)
−0.0993779 + 0.995050i \(0.531685\pi\)
\(128\) 4.26424 10.4793i 0.376910 0.926250i
\(129\) 0.0977548 0.00860683
\(130\) −10.0190 + 4.16046i −0.878720 + 0.364896i
\(131\) 0.725608 + 2.39201i 0.0633966 + 0.208991i 0.982916 0.184053i \(-0.0589220\pi\)
−0.919520 + 0.393044i \(0.871422\pi\)
\(132\) 9.91927 0.0176891i 0.863362 0.00153964i
\(133\) 0.00898062 + 0.0911818i 0.000778718 + 0.00790646i
\(134\) 3.63479 + 4.42095i 0.313998 + 0.381912i
\(135\) 0.880863 1.31830i 0.0758126 0.113462i
\(136\) 1.30484 + 1.29788i 0.111889 + 0.111292i
\(137\) 0.845783 0.565134i 0.0722601 0.0482827i −0.518915 0.854826i \(-0.673664\pi\)
0.591176 + 0.806543i \(0.298664\pi\)
\(138\) 3.58457 + 6.69190i 0.305139 + 0.569652i
\(139\) 6.65943 3.55954i 0.564845 0.301916i −0.164149 0.986435i \(-0.552488\pi\)
0.728995 + 0.684519i \(0.239988\pi\)
\(140\) −0.175543 + 0.0535924i −0.0148361 + 0.00452938i
\(141\) −5.42497 0.534313i −0.456865 0.0449973i
\(142\) 0.574213 2.90028i 0.0481869 0.243386i
\(143\) 22.1691 9.18276i 1.85388 0.767901i
\(144\) 2.23413 + 3.31793i 0.186177 + 0.276494i
\(145\) −12.2070 5.05631i −1.01374 0.419904i
\(146\) 7.46206 11.1893i 0.617564 0.926037i
\(147\) −5.40848 + 4.43863i −0.446084 + 0.366092i
\(148\) 1.96734 + 19.6160i 0.161714 + 1.61243i
\(149\) −13.7007 4.15606i −1.12240 0.340478i −0.326077 0.945343i \(-0.605727\pi\)
−0.796327 + 0.604866i \(0.793227\pi\)
\(150\) 2.22807 2.71985i 0.181921 0.222075i
\(151\) −0.0820805 + 0.412646i −0.00667961 + 0.0335807i −0.983981 0.178271i \(-0.942950\pi\)
0.977302 + 0.211852i \(0.0679495\pi\)
\(152\) −4.28100 + 1.31114i −0.347235 + 0.106348i
\(153\) −0.638180 + 0.126942i −0.0515938 + 0.0102626i
\(154\) 0.388389 0.118195i 0.0312973 0.00952442i
\(155\) −0.888483 0.729159i −0.0713646 0.0585675i
\(156\) 8.05519 + 5.36155i 0.644932 + 0.429268i
\(157\) 0.140075 0.262063i 0.0111792 0.0209149i −0.876270 0.481821i \(-0.839976\pi\)
0.887449 + 0.460906i \(0.152476\pi\)
\(158\) −8.78702 + 8.80270i −0.699057 + 0.700305i
\(159\) 5.70627 5.70627i 0.452536 0.452536i
\(160\) −4.26318 7.89103i −0.337034 0.623841i
\(161\) 0.219701 + 0.219701i 0.0173148 + 0.0173148i
\(162\) −1.41421 + 0.00126099i −0.111111 + 9.90724e-5i
\(163\) 15.8098 + 8.45053i 1.23832 + 0.661897i 0.954851 0.297084i \(-0.0960142\pi\)
0.283471 + 0.958981i \(0.408514\pi\)
\(164\) −17.2329 + 11.5592i −1.34566 + 0.902619i
\(165\) 4.98860 6.07862i 0.388362 0.473220i
\(166\) 9.33206 17.4966i 0.724308 1.35800i
\(167\) 0.0606693 + 0.305005i 0.00469473 + 0.0236020i 0.983062 0.183275i \(-0.0586699\pi\)
−0.978367 + 0.206877i \(0.933670\pi\)
\(168\) 0.126828 + 0.103519i 0.00978501 + 0.00798664i
\(169\) 10.2081 + 2.03052i 0.785239 + 0.156194i
\(170\) 1.45184 0.144301i 0.111351 0.0110674i
\(171\) 0.459509 1.51480i 0.0351395 0.115839i
\(172\) 0.0924700 + 0.172260i 0.00705077 + 0.0131347i
\(173\) 12.0609 + 14.6962i 0.916971 + 1.11733i 0.992749 + 0.120208i \(0.0383561\pi\)
−0.0757777 + 0.997125i \(0.524144\pi\)
\(174\) 2.30950 + 11.5568i 0.175083 + 0.876117i
\(175\) 0.0550684 0.132947i 0.00416278 0.0100498i
\(176\) 9.41418 + 17.4626i 0.709620 + 1.31629i
\(177\) −2.44565 5.90432i −0.183826 0.443796i
\(178\) −12.9061 + 8.64025i −0.967355 + 0.647614i
\(179\) −0.966878 + 9.81687i −0.0722678 + 0.733748i 0.888959 + 0.457987i \(0.151430\pi\)
−0.961226 + 0.275760i \(0.911070\pi\)
\(180\) 3.15630 + 0.305186i 0.235257 + 0.0227473i
\(181\) −0.357480 0.668799i −0.0265713 0.0497114i 0.868285 0.496065i \(-0.165222\pi\)
−0.894857 + 0.446354i \(0.852722\pi\)
\(182\) 0.379084 + 0.114625i 0.0280995 + 0.00849655i
\(183\) 2.63516 + 3.94379i 0.194796 + 0.291534i
\(184\) −8.40141 + 12.6467i −0.619360 + 0.932327i
\(185\) 12.9948 + 8.68286i 0.955398 + 0.638376i
\(186\) −0.0995775 + 1.02035i −0.00730138 + 0.0748160i
\(187\) −3.21161 + 0.316316i −0.234856 + 0.0231313i
\(188\) −4.19014 10.0651i −0.305597 0.734072i
\(189\) −0.0553885 + 0.0168019i −0.00402892 + 0.00122216i
\(190\) −1.35537 + 3.28042i −0.0983288 + 0.237987i
\(191\) 0.860718i 0.0622794i 0.999515 + 0.0311397i \(0.00991367\pi\)
−0.999515 + 0.0311397i \(0.990086\pi\)
\(192\) −3.73337 + 7.07544i −0.269433 + 0.510626i
\(193\) 11.5965i 0.834734i 0.908738 + 0.417367i \(0.137047\pi\)
−0.908738 + 0.417367i \(0.862953\pi\)
\(194\) −19.2807 7.96618i −1.38427 0.571939i
\(195\) 7.34070 2.22678i 0.525678 0.159463i
\(196\) −12.9377 5.33194i −0.924118 0.380853i
\(197\) 9.92983 0.978003i 0.707471 0.0696798i 0.262119 0.965035i \(-0.415579\pi\)
0.445352 + 0.895356i \(0.353079\pi\)
\(198\) −6.98083 0.681267i −0.496106 0.0484156i
\(199\) −11.2466 7.51473i −0.797249 0.532705i 0.0889353 0.996037i \(-0.471654\pi\)
−0.886185 + 0.463332i \(0.846654\pi\)
\(200\) 6.90043 + 1.35340i 0.487934 + 0.0957000i
\(201\) −2.24840 3.36496i −0.158590 0.237346i
\(202\) −2.56480 + 8.48223i −0.180459 + 0.596807i
\(203\) 0.227377 + 0.425392i 0.0159587 + 0.0298567i
\(204\) −0.827370 1.00449i −0.0579275 0.0703287i
\(205\) −1.61240 + 16.3709i −0.112615 + 1.14340i
\(206\) 11.4642 + 17.1244i 0.798751 + 1.19311i
\(207\) −2.05424 4.95938i −0.142780 0.344701i
\(208\) −1.82820 + 19.2662i −0.126763 + 1.33587i
\(209\) 3.00441 7.25329i 0.207820 0.501721i
\(210\) 0.127267 0.0254330i 0.00878226 0.00175504i
\(211\) 12.8631 + 15.6737i 0.885533 + 1.07903i 0.996365 + 0.0851862i \(0.0271485\pi\)
−0.110832 + 0.993839i \(0.535352\pi\)
\(212\) 15.4531 + 4.65757i 1.06132 + 0.319884i
\(213\) −0.606873 + 2.00059i −0.0415823 + 0.137078i
\(214\) −1.44917 14.5804i −0.0990631 0.996693i
\(215\) 0.152013 + 0.0302373i 0.0103672 + 0.00206217i
\(216\) −1.33998 2.49087i −0.0911740 0.169483i
\(217\) 0.00818586 + 0.0411531i 0.000555693 + 0.00279366i
\(218\) 10.6122 + 5.66020i 0.718751 + 0.383357i
\(219\) −6.03314 + 7.35140i −0.407682 + 0.496762i
\(220\) 15.4304 + 3.04070i 1.04032 + 0.205004i
\(221\) −2.77640 1.48402i −0.186761 0.0998257i
\(222\) −0.0124298 13.9402i −0.000834234 0.935605i
\(223\) −13.1006 13.1006i −0.877284 0.877284i 0.115969 0.993253i \(-0.463003\pi\)
−0.993253 + 0.115969i \(0.963003\pi\)
\(224\) −0.0624448 + 0.321414i −0.00417227 + 0.0214753i
\(225\) −1.75798 + 1.75798i −0.117198 + 0.117198i
\(226\) −9.71003 9.69272i −0.645901 0.644750i
\(227\) 7.20050 13.4712i 0.477914 0.894114i −0.521257 0.853400i \(-0.674537\pi\)
0.999171 0.0407145i \(-0.0129634\pi\)
\(228\) 3.10398 0.623176i 0.205566 0.0412709i
\(229\) 21.8004 + 17.8911i 1.44061 + 1.18228i 0.950543 + 0.310593i \(0.100528\pi\)
0.490067 + 0.871685i \(0.336972\pi\)
\(230\) 3.50425 + 11.5150i 0.231063 + 0.759276i
\(231\) −0.281552 + 0.0560042i −0.0185248 + 0.00368481i
\(232\) −18.1802 + 15.0017i −1.19359 + 0.984909i
\(233\) −3.30150 + 16.5977i −0.216288 + 1.08735i 0.708162 + 0.706050i \(0.249525\pi\)
−0.924450 + 0.381304i \(0.875475\pi\)
\(234\) −5.29299 4.33595i −0.346013 0.283450i
\(235\) −8.27081 2.50892i −0.539528 0.163664i
\(236\) 8.09092 9.89474i 0.526674 0.644093i
\(237\) 6.79852 5.57940i 0.441611 0.362421i
\(238\) −0.0443122 0.0295514i −0.00287233 0.00191553i
\(239\) 21.7836 + 9.02307i 1.40907 + 0.583654i 0.952088 0.305824i \(-0.0989320\pi\)
0.456977 + 0.889478i \(0.348932\pi\)
\(240\) 2.44788 + 5.85059i 0.158010 + 0.377654i
\(241\) −17.9566 + 7.43787i −1.15669 + 0.479116i −0.876771 0.480909i \(-0.840307\pi\)
−0.279917 + 0.960024i \(0.590307\pi\)
\(242\) −18.8644 3.73488i −1.21265 0.240087i
\(243\) 0.995185 + 0.0980171i 0.0638411 + 0.00628780i
\(244\) −4.45689 + 8.37415i −0.285323 + 0.536100i
\(245\) −9.78339 + 5.22933i −0.625038 + 0.334090i
\(246\) 12.9342 6.92828i 0.824651 0.441731i
\(247\) 6.36794 4.25492i 0.405182 0.270734i
\(248\) −1.89222 + 0.789720i −0.120156 + 0.0501472i
\(249\) −7.79005 + 11.6586i −0.493674 + 0.738836i
\(250\) 12.9661 10.6604i 0.820050 0.674222i
\(251\) −2.18957 22.2311i −0.138204 1.40321i −0.774894 0.632091i \(-0.782197\pi\)
0.636689 0.771120i \(-0.280303\pi\)
\(252\) −0.0820017 0.0817097i −0.00516562 0.00514723i
\(253\) −7.72834 25.4769i −0.485877 1.60172i
\(254\) 1.21482 + 2.92544i 0.0762243 + 0.183559i
\(255\) −1.03166 −0.0646053
\(256\) −15.9996 + 0.114130i −0.999975 + 0.00713315i
\(257\) 7.91143 0.493501 0.246751 0.969079i \(-0.420637\pi\)
0.246751 + 0.969079i \(0.420637\pi\)
\(258\) −0.0530184 0.127676i −0.00330078 0.00794874i
\(259\) −0.165620 0.545976i −0.0102911 0.0339253i
\(260\) 10.8678 + 10.8291i 0.673991 + 0.671591i
\(261\) −0.816821 8.29333i −0.0505600 0.513344i
\(262\) 2.73061 2.24503i 0.168698 0.138699i
\(263\) −5.40841 + 8.09426i −0.333497 + 0.499114i −0.959884 0.280399i \(-0.909533\pi\)
0.626386 + 0.779513i \(0.284533\pi\)
\(264\) −5.40293 12.9458i −0.332527 0.796757i
\(265\) 10.6386 7.10846i 0.653522 0.436669i
\(266\) 0.114220 0.0611828i 0.00700327 0.00375136i
\(267\) 9.68552 5.17702i 0.592744 0.316829i
\(268\) 3.80275 7.14507i 0.232290 0.436455i
\(269\) −28.1085 2.76844i −1.71380 0.168795i −0.807058 0.590472i \(-0.798942\pi\)
−0.906746 + 0.421677i \(0.861442\pi\)
\(270\) −2.19956 0.435481i −0.133861 0.0265025i
\(271\) −1.78172 + 0.738013i −0.108232 + 0.0448311i −0.436142 0.899878i \(-0.643656\pi\)
0.327910 + 0.944709i \(0.393656\pi\)
\(272\) 0.987439 2.40815i 0.0598723 0.146015i
\(273\) −0.258722 0.107166i −0.0156586 0.00648599i
\(274\) −1.19683 0.798154i −0.0723032 0.0482182i
\(275\) −9.53155 + 7.82234i −0.574774 + 0.471705i
\(276\) 6.79603 8.31116i 0.409073 0.500273i
\(277\) 11.3870 + 3.45421i 0.684178 + 0.207543i 0.613192 0.789934i \(-0.289885\pi\)
0.0709862 + 0.997477i \(0.477385\pi\)
\(278\) −8.26085 6.76719i −0.495453 0.405869i
\(279\) 0.141426 0.710998i 0.00846696 0.0425663i
\(280\) 0.165204 + 0.200207i 0.00987280 + 0.0119646i
\(281\) −20.8527 + 4.14786i −1.24397 + 0.247440i −0.772826 0.634618i \(-0.781158\pi\)
−0.471141 + 0.882058i \(0.656158\pi\)
\(282\) 2.24444 + 7.37524i 0.133654 + 0.439189i
\(283\) −13.6660 11.2154i −0.812357 0.666684i 0.133579 0.991038i \(-0.457353\pi\)
−0.945936 + 0.324354i \(0.894853\pi\)
\(284\) −4.09942 + 0.823029i −0.243256 + 0.0488378i
\(285\) 1.18311 2.21345i 0.0700815 0.131113i
\(286\) −24.0171 23.9743i −1.42016 1.41763i
\(287\) 0.424639 0.424639i 0.0250657 0.0250657i
\(288\) 3.12178 4.71747i 0.183953 0.277979i
\(289\) −11.7214 11.7214i −0.689496 0.689496i
\(290\) 0.0166611 + 18.6857i 0.000978376 + 1.09726i
\(291\) 13.0095 + 6.95374i 0.762632 + 0.407635i
\(292\) −18.6613 3.67738i −1.09207 0.215202i
\(293\) 0.0715920 0.0872351i 0.00418245 0.00509633i −0.770915 0.636938i \(-0.780201\pi\)
0.775097 + 0.631842i \(0.217701\pi\)
\(294\) 8.73055 + 4.65657i 0.509176 + 0.271577i
\(295\) −1.97679 9.93798i −0.115093 0.578611i
\(296\) 24.5531 13.2085i 1.42712 0.767726i
\(297\) 4.86434 + 0.967578i 0.282258 + 0.0561446i
\(298\) 2.00257 + 20.1483i 0.116006 + 1.16716i
\(299\) 7.53909 24.8531i 0.435997 1.43729i
\(300\) −4.76077 1.43490i −0.274863 0.0828438i
\(301\) −0.00358948 0.00437379i −0.000206894 0.000252101i
\(302\) 0.583466 0.116600i 0.0335747 0.00670955i
\(303\) 2.39791 5.78906i 0.137756 0.332573i
\(304\) 4.03430 + 4.88022i 0.231383 + 0.279900i
\(305\) 2.87791 + 6.94788i 0.164788 + 0.397835i
\(306\) 0.511920 + 0.764665i 0.0292645 + 0.0437130i
\(307\) −2.22788 + 22.6200i −0.127152 + 1.29099i 0.693872 + 0.720098i \(0.255903\pi\)
−0.821024 + 0.570894i \(0.806597\pi\)
\(308\) −0.365019 0.443163i −0.0207989 0.0252516i
\(309\) −6.86908 12.8511i −0.390768 0.731076i
\(310\) −0.470462 + 1.55590i −0.0267204 + 0.0883690i
\(311\) −12.2148 18.2807i −0.692636 1.03660i −0.996476 0.0838795i \(-0.973269\pi\)
0.303840 0.952723i \(-0.401731\pi\)
\(312\) 2.63380 13.4286i 0.149109 0.760246i
\(313\) 12.0890 + 8.07758i 0.683308 + 0.456572i 0.848156 0.529747i \(-0.177713\pi\)
−0.164848 + 0.986319i \(0.552713\pi\)
\(314\) −0.418246 0.0408171i −0.0236030 0.00230344i
\(315\) −0.0913288 + 0.00899510i −0.00514580 + 0.000506817i
\(316\) 16.2628 + 6.70230i 0.914852 + 0.377034i
\(317\) −28.9337 + 8.77694i −1.62508 + 0.492962i −0.965876 0.259004i \(-0.916606\pi\)
−0.659202 + 0.751966i \(0.729106\pi\)
\(318\) −10.5477 4.35798i −0.591485 0.244384i
\(319\) 41.3309i 2.31409i
\(320\) −7.99413 + 9.84785i −0.446886 + 0.550511i
\(321\) 10.3607i 0.578276i
\(322\) 0.167790 0.406104i 0.00935055 0.0226313i
\(323\) −0.985652 + 0.298994i −0.0548431 + 0.0166365i
\(324\) 0.768661 + 1.84639i 0.0427034 + 0.102577i
\(325\) −11.9706 + 1.17900i −0.664007 + 0.0653990i
\(326\) 2.46243 25.2321i 0.136382 1.39748i
\(327\) −7.07134 4.72492i −0.391046 0.261289i
\(328\) 24.4436 + 16.2383i 1.34967 + 0.896610i
\(329\) 0.175294 + 0.262346i 0.00966428 + 0.0144636i
\(330\) −10.6448 3.21870i −0.585976 0.177184i
\(331\) −11.2453 21.0384i −0.618095 1.15637i −0.974994 0.222231i \(-0.928666\pi\)
0.356899 0.934143i \(-0.383834\pi\)
\(332\) −27.9132 2.69896i −1.53194 0.148125i
\(333\) −0.966176 + 9.80975i −0.0529461 + 0.537571i
\(334\) 0.365457 0.244662i 0.0199969 0.0133873i
\(335\) −2.45552 5.92814i −0.134159 0.323889i
\(336\) 0.0664170 0.221792i 0.00362335 0.0120998i
\(337\) −12.8508 + 31.0245i −0.700025 + 1.69001i 0.0235110 + 0.999724i \(0.492516\pi\)
−0.723536 + 0.690287i \(0.757484\pi\)
\(338\) −2.88446 14.4339i −0.156894 0.785100i
\(339\) 6.15449 + 7.49927i 0.334266 + 0.407304i
\(340\) −0.975890 1.81796i −0.0529251 0.0985925i
\(341\) 1.04368 3.44056i 0.0565186 0.186317i
\(342\) −2.22767 + 0.221412i −0.120458 + 0.0119726i
\(343\) 0.794571 + 0.158050i 0.0429028 + 0.00853390i
\(344\) 0.174833 0.214200i 0.00942634 0.0115489i
\(345\) −1.66042 8.34748i −0.0893938 0.449413i
\(346\) 12.6531 23.7231i 0.680234 1.27536i
\(347\) −16.6379 + 20.2733i −0.893169 + 1.08833i 0.102442 + 0.994739i \(0.467334\pi\)
−0.995611 + 0.0935905i \(0.970166\pi\)
\(348\) 13.8415 9.28434i 0.741982 0.497693i
\(349\) 16.4725 + 8.80473i 0.881753 + 0.471307i 0.849144 0.528162i \(-0.177118\pi\)
0.0326088 + 0.999468i \(0.489618\pi\)
\(350\) −0.203506 0.000181457i −0.0108779 9.69926e-6i
\(351\) 3.42112 + 3.42112i 0.182606 + 0.182606i
\(352\) 17.7017 21.7667i 0.943502 1.16017i
\(353\) 4.91497 4.91497i 0.261598 0.261598i −0.564105 0.825703i \(-0.690779\pi\)
0.825703 + 0.564105i \(0.190779\pi\)
\(354\) −6.38509 + 6.39649i −0.339364 + 0.339969i
\(355\) −1.56253 + 2.92330i −0.0829307 + 0.155153i
\(356\) 18.2846 + 12.1703i 0.969083 + 0.645024i
\(357\) 0.0291131 + 0.0238925i 0.00154083 + 0.00126453i
\(358\) 13.3460 4.06147i 0.705359 0.214655i
\(359\) 29.5254 5.87297i 1.55829 0.309963i 0.660652 0.750693i \(-0.270280\pi\)
0.897640 + 0.440729i \(0.145280\pi\)
\(360\) −1.31326 4.28791i −0.0692147 0.225992i
\(361\) −3.21787 + 16.1773i −0.169361 + 0.851437i
\(362\) −0.679621 + 0.829628i −0.0357201 + 0.0436043i
\(363\) 13.0125 + 3.94731i 0.682981 + 0.207180i
\(364\) −0.0558910 0.557281i −0.00292949 0.0292095i
\(365\) −11.6557 + 9.56561i −0.610089 + 0.500687i
\(366\) 3.72170 5.58069i 0.194536 0.291707i
\(367\) 19.5474 + 8.09681i 1.02037 + 0.422650i 0.829227 0.558913i \(-0.188781\pi\)
0.191141 + 0.981563i \(0.438781\pi\)
\(368\) 21.0742 + 4.11384i 1.09857 + 0.214449i
\(369\) −9.58552 + 3.97045i −0.499002 + 0.206694i
\(370\) 4.29263 21.6815i 0.223163 1.12717i
\(371\) −0.464842 0.0457829i −0.0241334 0.00237693i
\(372\) 1.38667 0.423344i 0.0718955 0.0219494i
\(373\) −9.63101 + 5.14788i −0.498675 + 0.266547i −0.701502 0.712667i \(-0.747487\pi\)
0.202827 + 0.979214i \(0.434987\pi\)
\(374\) 2.15499 + 4.02306i 0.111432 + 0.208028i
\(375\) −9.86903 + 6.59428i −0.509635 + 0.340527i
\(376\) −10.8732 + 10.9316i −0.560744 + 0.563752i
\(377\) 22.3999 33.5239i 1.15366 1.72657i
\(378\) 0.0519852 + 0.0632291i 0.00267383 + 0.00325215i
\(379\) −0.997057 10.1233i −0.0512154 0.519999i −0.986229 0.165386i \(-0.947113\pi\)
0.935013 0.354612i \(-0.115387\pi\)
\(380\) 5.01959 0.00895146i 0.257500 0.000459200i
\(381\) −0.650198 2.14342i −0.0333107 0.109811i
\(382\) 1.12417 0.466820i 0.0575174 0.0238846i
\(383\) 11.6928 0.597473 0.298737 0.954336i \(-0.403435\pi\)
0.298737 + 0.954336i \(0.403435\pi\)
\(384\) 11.2659 + 1.03864i 0.574912 + 0.0530029i
\(385\) −0.455150 −0.0231966
\(386\) 15.1459 6.28948i 0.770908 0.320126i
\(387\) 0.0283767 + 0.0935456i 0.00144247 + 0.00475519i
\(388\) 0.0526122 + 29.5027i 0.00267098 + 1.49777i
\(389\) 0.294453 + 2.98963i 0.0149294 + 0.151580i 0.999759 0.0219423i \(-0.00698500\pi\)
−0.984830 + 0.173523i \(0.944485\pi\)
\(390\) −6.88966 8.37982i −0.348871 0.424329i
\(391\) −1.94053 + 2.90420i −0.0981367 + 0.146872i
\(392\) 0.0529360 + 19.7894i 0.00267367 + 0.999518i
\(393\) −2.07838 + 1.38873i −0.104840 + 0.0700520i
\(394\) −6.66290 12.4387i −0.335672 0.626654i
\(395\) 12.2978 6.57332i 0.618771 0.330740i
\(396\) 2.89634 + 9.48701i 0.145547 + 0.476740i
\(397\) −7.43477 0.732261i −0.373141 0.0367511i −0.0902910 0.995915i \(-0.528780\pi\)
−0.282850 + 0.959164i \(0.591280\pi\)
\(398\) −3.71513 + 18.7646i −0.186222 + 0.940586i
\(399\) −0.0846486 + 0.0350626i −0.00423773 + 0.00175532i
\(400\) −1.97487 9.74655i −0.0987436 0.487327i
\(401\) −24.6232 10.1993i −1.22962 0.509327i −0.329167 0.944272i \(-0.606768\pi\)
−0.900457 + 0.434945i \(0.856768\pi\)
\(402\) −3.17547 + 4.76161i −0.158378 + 0.237487i
\(403\) 2.71121 2.22503i 0.135055 0.110837i
\(404\) 12.4695 1.25060i 0.620381 0.0622195i
\(405\) 1.51724 + 0.460250i 0.0753923 + 0.0228700i
\(406\) 0.432276 0.527688i 0.0214535 0.0261887i
\(407\) −9.53763 + 47.9489i −0.472763 + 2.37674i
\(408\) −0.863217 + 1.62541i −0.0427356 + 0.0804697i
\(409\) −12.4430 + 2.47506i −0.615266 + 0.122384i −0.492878 0.870098i \(-0.664055\pi\)
−0.122388 + 0.992482i \(0.539055\pi\)
\(410\) 22.2563 6.77304i 1.09916 0.334496i
\(411\) 0.786318 + 0.645314i 0.0387862 + 0.0318310i
\(412\) 16.1480 24.2608i 0.795556 1.19524i
\(413\) −0.174372 + 0.326226i −0.00858027 + 0.0160526i
\(414\) −5.36320 + 5.37278i −0.263587 + 0.264058i
\(415\) −15.7201 + 15.7201i −0.771670 + 0.771670i
\(416\) 26.1548 8.06147i 1.28234 0.395246i
\(417\) 5.33940 + 5.33940i 0.261471 + 0.261471i
\(418\) −11.1029 + 0.00989988i −0.543059 + 0.000484219i
\(419\) −24.1513 12.9091i −1.17987 0.630652i −0.239527 0.970890i \(-0.576992\pi\)
−0.940339 + 0.340238i \(0.889492\pi\)
\(420\) −0.102242 0.152427i −0.00498891 0.00743768i
\(421\) 4.76599 5.80738i 0.232280 0.283034i −0.643806 0.765189i \(-0.722646\pi\)
0.876086 + 0.482155i \(0.160146\pi\)
\(422\) 13.4947 25.3011i 0.656913 1.23164i
\(423\) −1.06348 5.34648i −0.0517082 0.259955i
\(424\) −2.29800 22.7091i −0.111601 1.10285i
\(425\) 1.58661 + 0.315597i 0.0769620 + 0.0153087i
\(426\) 2.94208 0.292418i 0.142544 0.0141677i
\(427\) 0.0796941 0.262716i 0.00385667 0.0127137i
\(428\) −18.2571 + 9.80054i −0.882492 + 0.473727i
\(429\) 15.2227 + 18.5489i 0.734959 + 0.895551i
\(430\) −0.0429537 0.214941i −0.00207141 0.0103654i
\(431\) −5.12399 + 12.3704i −0.246814 + 0.595862i −0.997930 0.0643085i \(-0.979516\pi\)
0.751116 + 0.660170i \(0.229516\pi\)
\(432\) −2.52653 + 3.10107i −0.121558 + 0.149200i
\(433\) −5.52846 13.3469i −0.265681 0.641410i 0.733590 0.679592i \(-0.237843\pi\)
−0.999271 + 0.0381821i \(0.987843\pi\)
\(434\) 0.0493096 0.0330112i 0.00236694 0.00158459i
\(435\) 1.29508 13.1492i 0.0620943 0.630454i
\(436\) 1.63701 16.9303i 0.0783985 0.810814i
\(437\) −4.00560 7.49396i −0.191614 0.358485i
\(438\) 12.8737 + 3.89265i 0.615127 + 0.185998i
\(439\) 2.83784 + 4.24712i 0.135443 + 0.202704i 0.892991 0.450075i \(-0.148603\pi\)
−0.757548 + 0.652779i \(0.773603\pi\)
\(440\) −4.39745 21.8025i −0.209640 1.03939i
\(441\) −5.81750 3.88713i −0.277024 0.185101i
\(442\) −0.432433 + 4.43107i −0.0205688 + 0.210765i
\(443\) 37.0647 3.65056i 1.76100 0.173443i 0.834819 0.550525i \(-0.185572\pi\)
0.926180 + 0.377082i \(0.123072\pi\)
\(444\) −18.2003 + 7.57685i −0.863747 + 0.359582i
\(445\) 16.6628 5.05460i 0.789892 0.239611i
\(446\) −10.0052 + 24.2158i −0.473760 + 1.14665i
\(447\) 14.3172i 0.677179i
\(448\) 0.453659 0.0927643i 0.0214334 0.00438270i
\(449\) 39.4355i 1.86108i −0.366195 0.930538i \(-0.619340\pi\)
0.366195 0.930538i \(-0.380660\pi\)
\(450\) 3.24951 + 1.34260i 0.153184 + 0.0632907i
\(451\) −49.2420 + 14.9374i −2.31871 + 0.703374i
\(452\) −7.39314 + 17.9390i −0.347744 + 0.843781i
\(453\) −0.418705 + 0.0412388i −0.0196725 + 0.00193757i
\(454\) −21.4997 2.09818i −1.00903 0.0984726i
\(455\) −0.369176 0.246676i −0.0173072 0.0115643i
\(456\) −2.49739 3.71606i −0.116951 0.174020i
\(457\) 8.51655 + 12.7459i 0.398387 + 0.596229i 0.975383 0.220519i \(-0.0707750\pi\)
−0.576996 + 0.816747i \(0.695775\pi\)
\(458\) 11.5435 38.1765i 0.539395 1.78387i
\(459\) −0.306729 0.573851i −0.0143169 0.0267850i
\(460\) 13.1389 10.8221i 0.612606 0.504583i
\(461\) 0.609193 6.18524i 0.0283730 0.288075i −0.970519 0.241023i \(-0.922517\pi\)
0.998892 0.0470526i \(-0.0149829\pi\)
\(462\) 0.225849 + 0.337355i 0.0105074 + 0.0156952i
\(463\) 10.6529 + 25.7184i 0.495083 + 1.19524i 0.952102 + 0.305779i \(0.0989170\pi\)
−0.457019 + 0.889457i \(0.651083\pi\)
\(464\) 29.4537 + 15.6085i 1.36735 + 0.724606i
\(465\) 0.439849 1.06189i 0.0203975 0.0492439i
\(466\) 23.4686 4.68995i 1.08716 0.217258i
\(467\) −4.96675 6.05200i −0.229834 0.280053i 0.645305 0.763925i \(-0.276730\pi\)
−0.875139 + 0.483872i \(0.839230\pi\)
\(468\) −2.79239 + 9.26472i −0.129078 + 0.428262i
\(469\) −0.0679974 + 0.224158i −0.00313983 + 0.0103506i
\(470\) 1.20891 + 12.1631i 0.0557629 + 0.561041i
\(471\) 0.291440 + 0.0579710i 0.0134288 + 0.00267116i
\(472\) −17.3115 5.20086i −0.796827 0.239389i
\(473\) 0.0945855 + 0.475513i 0.00434904 + 0.0218641i
\(474\) −10.9744 5.85336i −0.504071 0.268854i
\(475\) −2.49664 + 3.04216i −0.114554 + 0.139584i
\(476\) −0.0145632 + 0.0739028i −0.000667504 + 0.00338733i
\(477\) 7.11700 + 3.80411i 0.325865 + 0.174178i
\(478\) −0.0297321 33.3449i −0.00135991 1.52516i
\(479\) 13.8867 + 13.8867i 0.634499 + 0.634499i 0.949193 0.314694i \(-0.101902\pi\)
−0.314694 + 0.949193i \(0.601902\pi\)
\(480\) 6.31371 6.37026i 0.288180 0.290761i
\(481\) −33.7227 + 33.7227i −1.53762 + 1.53762i
\(482\) 19.4534 + 19.4188i 0.886079 + 0.884500i
\(483\) −0.146465 + 0.274016i −0.00666438 + 0.0124682i
\(484\) 5.35326 + 26.6640i 0.243330 + 1.21200i
\(485\) 18.0795 + 14.8375i 0.820948 + 0.673735i
\(486\) −0.411731 1.35295i −0.0186765 0.0613711i
\(487\) 39.5977 7.87647i 1.79434 0.356917i 0.818350 0.574720i \(-0.194889\pi\)
0.975993 + 0.217802i \(0.0698889\pi\)
\(488\) 13.3545 + 1.27925i 0.604532 + 0.0579088i
\(489\) −3.49730 + 17.5821i −0.158154 + 0.795091i
\(490\) 12.1361 + 9.94171i 0.548251 + 0.449120i
\(491\) −33.4614 10.1504i −1.51009 0.458081i −0.576705 0.816953i \(-0.695662\pi\)
−0.933387 + 0.358871i \(0.883162\pi\)
\(492\) −16.0639 13.1354i −0.724215 0.592190i
\(493\) −4.19160 + 3.43995i −0.188780 + 0.154928i
\(494\) −9.01099 6.00934i −0.405424 0.270373i
\(495\) 7.26499 + 3.00926i 0.326537 + 0.135256i
\(496\) 2.05770 + 2.04308i 0.0923936 + 0.0917368i
\(497\) 0.111795 0.0463071i 0.00501471 0.00207716i
\(498\) 19.4521 + 3.85124i 0.871670 + 0.172578i
\(499\) 18.0885 + 1.78156i 0.809754 + 0.0797538i 0.494416 0.869226i \(-0.335382\pi\)
0.315338 + 0.948979i \(0.397882\pi\)
\(500\) −20.9556 11.1530i −0.937165 0.498778i
\(501\) −0.274260 + 0.146595i −0.0122531 + 0.00654939i
\(502\) −27.8480 + 14.9170i −1.24292 + 0.665779i
\(503\) −26.4166 + 17.6510i −1.17786 + 0.787020i −0.981113 0.193434i \(-0.938037\pi\)
−0.196746 + 0.980454i \(0.563037\pi\)
\(504\) −0.0622449 + 0.151417i −0.00277261 + 0.00674465i
\(505\) 5.51952 8.26054i 0.245615 0.367589i
\(506\) −29.0834 + 23.9115i −1.29291 + 1.06300i
\(507\) 1.02017 + 10.3580i 0.0453074 + 0.460014i
\(508\) 3.16199 3.17329i 0.140291 0.140792i
\(509\) −4.62941 15.2611i −0.205195 0.676438i −0.997775 0.0666698i \(-0.978763\pi\)
0.792580 0.609768i \(-0.208737\pi\)
\(510\) 0.559534 + 1.34744i 0.0247766 + 0.0596655i
\(511\) 0.550452 0.0243506
\(512\) 8.82662 + 20.8348i 0.390085 + 0.920779i
\(513\) 1.58296 0.0698893
\(514\) −4.29085 10.3330i −0.189261 0.455767i
\(515\) −6.70665 22.1089i −0.295530 0.974232i
\(516\) −0.137999 + 0.138493i −0.00607509 + 0.00609679i
\(517\) −2.65000 26.9059i −0.116547 1.18332i
\(518\) −0.623263 + 0.512429i −0.0273846 + 0.0225148i
\(519\) −10.5623 + 15.8076i −0.463634 + 0.693878i
\(520\) 8.24939 20.0675i 0.361760 0.880016i
\(521\) −9.95033 + 6.64860i −0.435932 + 0.291280i −0.754107 0.656752i \(-0.771930\pi\)
0.318175 + 0.948032i \(0.396930\pi\)
\(522\) −10.3887 + 5.56481i −0.454703 + 0.243565i
\(523\) 27.1091 14.4901i 1.18540 0.633608i 0.243628 0.969869i \(-0.421662\pi\)
0.941769 + 0.336261i \(0.109162\pi\)
\(524\) −4.41317 2.34878i −0.192790 0.102607i
\(525\) 0.143208 + 0.0141047i 0.00625009 + 0.000615580i
\(526\) 13.5051 + 2.67381i 0.588849 + 0.116584i
\(527\) −0.435791 + 0.180511i −0.0189834 + 0.00786317i
\(528\) −13.9779 + 14.0779i −0.608309 + 0.612663i
\(529\) −5.37267 2.22543i −0.233594 0.0967580i
\(530\) −15.0542 10.0395i −0.653911 0.436086i
\(531\) 4.94015 4.05428i 0.214384 0.175941i
\(532\) −0.141858 0.115997i −0.00615033 0.00502912i
\(533\) −48.0362 14.5716i −2.08068 0.631167i
\(534\) −12.0147 9.84226i −0.519925 0.425916i
\(535\) −3.20474 + 16.1113i −0.138553 + 0.696553i
\(536\) −11.3945 1.09149i −0.492167 0.0471453i
\(537\) −9.67483 + 1.92444i −0.417500 + 0.0830459i
\(538\) 11.6291 + 38.2134i 0.501367 + 1.64750i
\(539\) −26.8241 22.0140i −1.15540 0.948210i
\(540\) 0.624181 + 3.10898i 0.0268605 + 0.133789i
\(541\) 0.361717 0.676726i 0.0155514 0.0290947i −0.874026 0.485880i \(-0.838499\pi\)
0.889577 + 0.456785i \(0.150999\pi\)
\(542\) 1.93024 + 1.92680i 0.0829109 + 0.0827631i
\(543\) 0.536229 0.536229i 0.0230118 0.0230118i
\(544\) −3.68078 + 0.0164100i −0.157812 + 0.000703572i
\(545\) −9.53476 9.53476i −0.408424 0.408424i
\(546\) 0.000353125 0.396034i 1.51123e−5 0.0169487i
\(547\) 33.0907 + 17.6874i 1.41486 + 0.756257i 0.988914 0.148492i \(-0.0474420\pi\)
0.425944 + 0.904749i \(0.359942\pi\)
\(548\) −0.393339 + 1.99604i −0.0168026 + 0.0852667i
\(549\) −3.00903 + 3.66651i −0.128422 + 0.156483i
\(550\) 15.3861 + 8.20643i 0.656067 + 0.349924i
\(551\) −2.57354 12.9380i −0.109636 0.551179i
\(552\) −14.5409 4.36850i −0.618903 0.185936i
\(553\) −0.499272 0.0993115i −0.0212312 0.00422315i
\(554\) −1.66439 16.7457i −0.0707131 0.711458i
\(555\) −4.53678 + 14.9558i −0.192576 + 0.634837i
\(556\) −4.35813 + 14.4596i −0.184826 + 0.613223i
\(557\) 5.22503 + 6.36672i 0.221392 + 0.269767i 0.871847 0.489778i \(-0.162922\pi\)
−0.650456 + 0.759544i \(0.725422\pi\)
\(558\) −1.00532 + 0.200903i −0.0425587 + 0.00850492i
\(559\) −0.180993 + 0.436955i −0.00765518 + 0.0184812i
\(560\) 0.171886 0.324353i 0.00726351 0.0137064i
\(561\) −1.23498 2.98150i −0.0521408 0.125879i
\(562\) 16.7271 + 24.9856i 0.705591 + 1.05396i
\(563\) 1.76513 17.9217i 0.0743914 0.755308i −0.883549 0.468340i \(-0.844852\pi\)
0.957940 0.286969i \(-0.0926476\pi\)
\(564\) 8.41535 6.93145i 0.354350 0.291867i
\(565\) 7.25086 + 13.5654i 0.305046 + 0.570701i
\(566\) −7.23628 + 23.9316i −0.304163 + 1.00592i
\(567\) −0.0321569 0.0481261i −0.00135046 0.00202111i
\(568\) 3.29831 + 4.90780i 0.138394 + 0.205927i
\(569\) 11.3073 + 7.55530i 0.474027 + 0.316735i 0.769534 0.638606i \(-0.220489\pi\)
−0.295507 + 0.955341i \(0.595489\pi\)
\(570\) −3.53261 0.344752i −0.147965 0.0144401i
\(571\) 16.6783 1.64267i 0.697966 0.0687437i 0.257190 0.966361i \(-0.417203\pi\)
0.440776 + 0.897617i \(0.354703\pi\)
\(572\) −18.2864 + 44.3710i −0.764594 + 1.85524i
\(573\) −0.823656 + 0.249853i −0.0344087 + 0.0104378i
\(574\) −0.784920 0.324305i −0.0327619 0.0135362i
\(575\) 13.3456i 0.556552i
\(576\) −7.85452 1.51872i −0.327272 0.0632801i
\(577\) 20.9813i 0.873463i −0.899592 0.436732i \(-0.856136\pi\)
0.899592 0.436732i \(-0.143864\pi\)
\(578\) −8.95188 + 21.6664i −0.372349 + 0.901203i
\(579\) −11.0971 + 3.36628i −0.461182 + 0.139898i
\(580\) 24.3960 10.1562i 1.01299 0.421711i
\(581\) 0.807680 0.0795496i 0.0335082 0.00330027i
\(582\) 2.02628 20.7629i 0.0839919 0.860651i
\(583\) 33.2785 + 22.2360i 1.37825 + 0.920920i
\(584\) 5.31821 + 26.3676i 0.220069 + 1.09110i
\(585\) 4.26178 + 6.37821i 0.176203 + 0.263707i
\(586\) −0.152765 0.0461920i −0.00631065 0.00190817i
\(587\) −3.77091 7.05487i −0.155642 0.291186i 0.792000 0.610522i \(-0.209040\pi\)
−0.947642 + 0.319336i \(0.896540\pi\)
\(588\) 1.34675 13.9283i 0.0555389 0.574395i
\(589\) 0.112478 1.14200i 0.00463456 0.0470554i
\(590\) −11.9077 + 7.97181i −0.490231 + 0.328194i
\(591\) 3.81837 + 9.21836i 0.157067 + 0.379193i
\(592\) −30.5679 24.9045i −1.25633 1.02357i
\(593\) −0.716631 + 1.73010i −0.0294285 + 0.0710467i −0.937911 0.346877i \(-0.887242\pi\)
0.908482 + 0.417924i \(0.137242\pi\)
\(594\) −1.37450 6.87800i −0.0563962 0.282208i
\(595\) 0.0378819 + 0.0461592i 0.00155301 + 0.00189234i
\(596\) 25.2291 13.5432i 1.03343 0.554749i
\(597\) 3.92643 12.9437i 0.160698 0.529751i
\(598\) −36.5490 + 3.63267i −1.49460 + 0.148551i
\(599\) −28.0457 5.57863i −1.14592 0.227937i −0.414618 0.909995i \(-0.636085\pi\)
−0.731298 + 0.682059i \(0.761085\pi\)
\(600\) 0.707964 + 6.99617i 0.0289025 + 0.285618i
\(601\) −2.42907 12.2117i −0.0990837 0.498127i −0.998176 0.0603685i \(-0.980772\pi\)
0.899092 0.437759i \(-0.144228\pi\)
\(602\) −0.00376573 + 0.00706032i −0.000153480 + 0.000287757i
\(603\) 2.56739 3.12838i 0.104552 0.127397i
\(604\) −0.468738 0.698815i −0.0190727 0.0284344i
\(605\) 19.0141 + 10.1633i 0.773034 + 0.413195i
\(606\) −8.86151 + 0.00790138i −0.359974 + 0.000320972i
\(607\) −30.3203 30.3203i −1.23066 1.23066i −0.963709 0.266955i \(-0.913983\pi\)
−0.266955 0.963709i \(-0.586017\pi\)
\(608\) 4.18590 7.91596i 0.169761 0.321035i
\(609\) −0.341071 + 0.341071i −0.0138209 + 0.0138209i
\(610\) 7.51362 7.52704i 0.304218 0.304761i
\(611\) 12.4326 23.2598i 0.502971 0.940992i
\(612\) 0.721069 1.08333i 0.0291475 0.0437911i
\(613\) 31.4219 + 25.7873i 1.26912 + 1.04154i 0.996849 + 0.0793195i \(0.0252747\pi\)
0.272271 + 0.962221i \(0.412225\pi\)
\(614\) 30.7519 9.35842i 1.24104 0.377675i
\(615\) −16.1341 + 3.20926i −0.650588 + 0.129410i
\(616\) −0.380834 + 0.717099i −0.0153443 + 0.0288927i
\(617\) −4.54570 + 22.8528i −0.183003 + 0.920018i 0.774715 + 0.632310i \(0.217893\pi\)
−0.957718 + 0.287708i \(0.907107\pi\)
\(618\) −13.0591 + 15.9415i −0.525314 + 0.641262i
\(619\) 33.5992 + 10.1922i 1.35047 + 0.409659i 0.880927 0.473253i \(-0.156920\pi\)
0.469538 + 0.882912i \(0.344420\pi\)
\(620\) 2.28729 0.229397i 0.0918596 0.00921281i
\(621\) 4.14951 3.40542i 0.166514 0.136655i
\(622\) −17.2512 + 25.8682i −0.691711 + 1.03722i
\(623\) −0.587277 0.243258i −0.0235288 0.00974594i
\(624\) −18.9673 + 3.84321i −0.759301 + 0.153852i
\(625\) −5.90200 + 2.44469i −0.236080 + 0.0977876i
\(626\) 3.99339 20.1701i 0.159608 0.806159i
\(627\) 7.81311 + 0.769524i 0.312025 + 0.0307318i
\(628\) 0.173530 + 0.568400i 0.00692460 + 0.0226816i
\(629\) 5.65657 3.02350i 0.225542 0.120555i
\(630\) 0.0612815 + 0.114404i 0.00244151 + 0.00455797i
\(631\) −29.0322 + 19.3987i −1.15575 + 0.772250i −0.977334 0.211704i \(-0.932099\pi\)
−0.178420 + 0.983954i \(0.557099\pi\)
\(632\) −0.0665411 24.8755i −0.00264686 0.989496i
\(633\) −11.2649 + 16.8591i −0.447739 + 0.670088i
\(634\) 27.1559 + 33.0294i 1.07850 + 1.31177i
\(635\) −0.348091 3.53423i −0.0138136 0.140252i
\(636\) 0.0287821 + 16.1397i 0.00114128 + 0.639982i
\(637\) −9.82647 32.3935i −0.389339 1.28348i
\(638\) −53.9815 + 22.4163i −2.13715 + 0.887469i
\(639\) −2.09061 −0.0827034
\(640\) 17.1978 + 5.09989i 0.679802 + 0.201591i
\(641\) 1.42891 0.0564385 0.0282193 0.999602i \(-0.491016\pi\)
0.0282193 + 0.999602i \(0.491016\pi\)
\(642\) 13.5319 5.61922i 0.534060 0.221773i
\(643\) −7.70311 25.3937i −0.303781 1.00143i −0.967377 0.253341i \(-0.918471\pi\)
0.663596 0.748091i \(-0.269029\pi\)
\(644\) −0.621407 + 0.00110816i −0.0244868 + 4.36675e-5i
\(645\) 0.0151918 + 0.154245i 0.000598177 + 0.00607340i
\(646\) 0.925089 + 1.12518i 0.0363971 + 0.0442695i
\(647\) 12.2031 18.2633i 0.479754 0.718003i −0.510096 0.860118i \(-0.670390\pi\)
0.989850 + 0.142114i \(0.0453901\pi\)
\(648\) 1.99464 2.00534i 0.0783570 0.0787773i
\(649\) 26.3543 17.6094i 1.03450 0.691229i
\(650\) 8.03223 + 14.9951i 0.315050 + 0.588155i
\(651\) −0.0370048 + 0.0197795i −0.00145033 + 0.000775220i
\(652\) −34.2907 + 10.4688i −1.34293 + 0.409990i
\(653\) 23.5561 + 2.32008i 0.921822 + 0.0907916i 0.547782 0.836621i \(-0.315472\pi\)
0.374040 + 0.927413i \(0.377972\pi\)
\(654\) −2.33590 + 11.7983i −0.0913410 + 0.461352i
\(655\) −3.66153 + 1.51666i −0.143068 + 0.0592606i
\(656\) 7.95125 40.7324i 0.310444 1.59033i
\(657\) −8.78618 3.63936i −0.342782 0.141985i
\(658\) 0.247572 0.371234i 0.00965138 0.0144722i
\(659\) 6.84491 5.61747i 0.266640 0.218826i −0.491567 0.870840i \(-0.663576\pi\)
0.758207 + 0.652014i \(0.226076\pi\)
\(660\) 1.56944 + 15.6486i 0.0610903 + 0.609122i
\(661\) 21.4317 + 6.50123i 0.833596 + 0.252869i 0.678102 0.734968i \(-0.262803\pi\)
0.155494 + 0.987837i \(0.450303\pi\)
\(662\) −21.3788 + 26.0976i −0.830912 + 1.01431i
\(663\) 0.614169 3.08764i 0.0238523 0.119914i
\(664\) 11.6140 + 37.9207i 0.450710 + 1.47161i
\(665\) −0.142478 + 0.0283406i −0.00552506 + 0.00109900i
\(666\) 13.3363 4.05852i 0.516772 0.157264i
\(667\) −34.5798 28.3789i −1.33893 1.09884i
\(668\) −0.517757 0.344620i −0.0200326 0.0133338i
\(669\) 8.73361 16.3394i 0.337661 0.631719i
\(670\) −6.41085 + 6.42229i −0.247673 + 0.248115i
\(671\) −16.6342 + 16.6342i −0.642158 + 0.642158i
\(672\) −0.325700 + 0.0335455i −0.0125642 + 0.00129405i
\(673\) 3.98289 + 3.98289i 0.153529 + 0.153529i 0.779692 0.626163i \(-0.215376\pi\)
−0.626163 + 0.779692i \(0.715376\pi\)
\(674\) 47.4902 0.0423447i 1.82925 0.00163106i
\(675\) −2.19259 1.17196i −0.0843929 0.0451089i
\(676\) −17.2874 + 11.5957i −0.664899 + 0.445989i
\(677\) 24.1865 29.4713i 0.929563 1.13268i −0.0613430 0.998117i \(-0.519538\pi\)
0.990906 0.134559i \(-0.0429616\pi\)
\(678\) 6.45669 12.1056i 0.247968 0.464911i
\(679\) −0.166572 0.837414i −0.00639245 0.0321370i
\(680\) −1.84511 + 2.26058i −0.0707568 + 0.0866892i
\(681\) 14.9813 + 2.97997i 0.574086 + 0.114193i
\(682\) −5.05970 + 0.502893i −0.193746 + 0.0192568i
\(683\) −13.5637 + 44.7134i −0.518999 + 1.71091i 0.169371 + 0.985552i \(0.445826\pi\)
−0.688371 + 0.725359i \(0.741674\pi\)
\(684\) 1.49738 + 2.78942i 0.0572538 + 0.106656i
\(685\) 1.02315 + 1.24672i 0.0390927 + 0.0476346i
\(686\) −0.224518 1.12349i −0.00857215 0.0428952i
\(687\) −10.7924 + 26.0552i −0.411756 + 0.994067i
\(688\) −0.374585 0.112172i −0.0142809 0.00427650i
\(689\) 14.9413 + 36.0716i 0.569220 + 1.37422i
\(690\) −10.0019 + 6.69598i −0.380767 + 0.254912i
\(691\) −2.76183 + 28.0413i −0.105065 + 1.06674i 0.787651 + 0.616122i \(0.211297\pi\)
−0.892716 + 0.450620i \(0.851203\pi\)
\(692\) −37.8468 3.65945i −1.43872 0.139111i
\(693\) −0.135323 0.253172i −0.00514050 0.00961719i
\(694\) 35.5023 + 10.7350i 1.34765 + 0.407493i
\(695\) 6.65144 + 9.95458i 0.252303 + 0.377599i
\(696\) −19.6332 13.0426i −0.744193 0.494380i
\(697\) 5.61327 + 3.75067i 0.212618 + 0.142067i
\(698\) 2.56565 26.2897i 0.0971112 0.995081i
\(699\) −16.8414 + 1.65873i −0.637001 + 0.0627391i
\(700\) 0.110611 + 0.265697i 0.00418069 + 0.0100424i
\(701\) 26.0527 7.90300i 0.983997 0.298492i 0.243019 0.970022i \(-0.421862\pi\)
0.740978 + 0.671530i \(0.234362\pi\)
\(702\) 2.61277 6.32373i 0.0986128 0.238674i
\(703\) 15.6036i 0.588500i
\(704\) −38.0297 11.3144i −1.43330 0.426427i
\(705\) 8.64297i 0.325513i
\(706\) −9.08504 3.75366i −0.341920 0.141271i
\(707\) −0.347066 + 0.105281i −0.0130528 + 0.00395951i
\(708\) 11.8173 + 4.87023i 0.444123 + 0.183035i
\(709\) 36.3493 3.58009i 1.36513 0.134453i 0.611233 0.791451i \(-0.290674\pi\)
0.753893 + 0.656998i \(0.228174\pi\)
\(710\) 4.66552 + 0.455313i 0.175094 + 0.0170876i
\(711\) 7.31266 + 4.88616i 0.274246 + 0.183245i
\(712\) 5.97850 30.4819i 0.224054 1.14236i
\(713\) −2.16195 3.23558i −0.0809655 0.121173i
\(714\) 0.0154157 0.0509825i 0.000576919 0.00190797i
\(715\) 17.9345 + 33.5531i 0.670713 + 1.25482i
\(716\) −12.5430 15.2282i −0.468752 0.569104i
\(717\) −2.31109 + 23.4649i −0.0863092 + 0.876312i
\(718\) −23.6840 35.3773i −0.883879 1.32027i
\(719\) −12.8962 31.1342i −0.480948 1.16111i −0.959159 0.282866i \(-0.908715\pi\)
0.478212 0.878245i \(-0.341285\pi\)
\(720\) −4.88809 + 4.04081i −0.182168 + 0.150592i
\(721\) −0.322765 + 0.779223i −0.0120204 + 0.0290198i
\(722\) 22.8741 4.57115i 0.851286 0.170121i
\(723\) −12.3301 15.0243i −0.458563 0.558760i
\(724\) 1.45216 + 0.437682i 0.0539691 + 0.0162663i
\(725\) −6.01419 + 19.8261i −0.223361 + 0.736323i
\(726\) −1.90199 19.1363i −0.0705894 0.710213i
\(727\) 50.7513 + 10.0951i 1.88226 + 0.374405i 0.996044 0.0888617i \(-0.0283229\pi\)
0.886219 + 0.463267i \(0.153323\pi\)
\(728\) −0.697541 + 0.375246i −0.0258526 + 0.0139075i
\(729\) 0.195090 + 0.980785i 0.00722557 + 0.0363254i
\(730\) 18.8151 + 10.0353i 0.696377 + 0.371423i
\(731\) 0.0403521 0.0491691i 0.00149248 0.00181859i
\(732\) −9.30733 1.83409i −0.344009 0.0677901i
\(733\) −9.27157 4.95576i −0.342453 0.183045i 0.291200 0.956662i \(-0.405945\pi\)
−0.633653 + 0.773617i \(0.718445\pi\)
\(734\) −0.0266799 29.9219i −0.000984774 1.10444i
\(735\) −7.84413 7.84413i −0.289335 0.289335i
\(736\) −6.05682 29.7558i −0.223257 1.09681i
\(737\) 14.1928 14.1928i 0.522800 0.522800i
\(738\) 10.3845 + 10.3660i 0.382260 + 0.381579i
\(739\) 8.13762 15.2244i 0.299347 0.560039i −0.686612 0.727024i \(-0.740903\pi\)
0.985959 + 0.166985i \(0.0534030\pi\)
\(740\) −30.6459 + 6.15269i −1.12657 + 0.226177i
\(741\) 5.92022 + 4.85860i 0.217485 + 0.178485i
\(742\) 0.192316 + 0.631952i 0.00706014 + 0.0231997i
\(743\) 13.0444 2.59468i 0.478551 0.0951897i 0.0500798 0.998745i \(-0.484052\pi\)
0.428471 + 0.903556i \(0.359052\pi\)
\(744\) −1.30500 1.58150i −0.0478435 0.0579805i
\(745\) 4.42856 22.2639i 0.162250 0.815686i
\(746\) 11.9470 + 9.78686i 0.437412 + 0.358322i
\(747\) −13.4179 4.07029i −0.490937 0.148924i
\(748\) 4.08566 4.99654i 0.149387 0.182692i
\(749\) 0.463562 0.380435i 0.0169382 0.0139008i
\(750\) 13.9652 + 9.31327i 0.509938 + 0.340072i
\(751\) −15.3312 6.35038i −0.559442 0.231729i 0.0850008 0.996381i \(-0.472911\pi\)
−0.644443 + 0.764652i \(0.722911\pi\)
\(752\) 20.1747 + 8.27246i 0.735696 + 0.301666i
\(753\) 20.6382 8.54862i 0.752098 0.311529i
\(754\) −55.9337 11.0741i −2.03699 0.403294i
\(755\) −0.663861 0.0653846i −0.0241604 0.00237959i
\(756\) 0.0543875 0.102190i 0.00197805 0.00371661i
\(757\) 25.7350 13.7556i 0.935353 0.499957i 0.0680194 0.997684i \(-0.478332\pi\)
0.867333 + 0.497727i \(0.165832\pi\)
\(758\) −12.6811 + 6.79271i −0.460597 + 0.246722i
\(759\) 22.1365 14.7911i 0.803503 0.536884i
\(760\) −2.73412 6.55113i −0.0991770 0.237635i
\(761\) 10.1988 15.2636i 0.369708 0.553307i −0.599241 0.800569i \(-0.704531\pi\)
0.968949 + 0.247262i \(0.0795308\pi\)
\(762\) −2.44683 + 2.01172i −0.0886394 + 0.0728768i
\(763\) 0.0482494 + 0.489884i 0.00174675 + 0.0177350i
\(764\) −1.21941 1.21507i −0.0441166 0.0439596i
\(765\) −0.299476 0.987241i −0.0108276 0.0356938i
\(766\) −6.34171 15.2717i −0.229135 0.551789i
\(767\) 30.9199 1.11645
\(768\) −4.75365 15.2775i −0.171533 0.551280i
\(769\) 52.2399 1.88382 0.941910 0.335866i \(-0.109029\pi\)
0.941910 + 0.335866i \(0.109029\pi\)
\(770\) 0.246856 + 0.594462i 0.00889606 + 0.0214229i
\(771\) 2.29657 + 7.57076i 0.0827088 + 0.272654i
\(772\) −16.4291 16.3706i −0.591297 0.589192i
\(773\) −0.451217