Properties

Label 354.2.e.c.7.2
Level 354
Weight 2
Character 354.7
Analytic conductor 2.827
Analytic rank 0
Dimension 84
CM No

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\) and degree \(28\))

Newform invariants

Self dual: No
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(3\) over \(\Q(\zeta_{29})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 7.2
Character \(\chi\) = 354.7
Dual form 354.2.e.c.253.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.561187 - 0.827689i) q^{2} +(-0.0541389 + 0.998533i) q^{3} +(-0.370138 + 0.928977i) q^{4} +(-0.0493609 + 0.0228368i) q^{5} +(0.856857 - 0.515554i) q^{6} +(-0.676801 + 2.43762i) q^{7} +(0.976621 - 0.214970i) q^{8} +(-0.994138 - 0.108119i) q^{9} +O(q^{10})\) \(q+(-0.561187 - 0.827689i) q^{2} +(-0.0541389 + 0.998533i) q^{3} +(-0.370138 + 0.928977i) q^{4} +(-0.0493609 + 0.0228368i) q^{5} +(0.856857 - 0.515554i) q^{6} +(-0.676801 + 2.43762i) q^{7} +(0.976621 - 0.214970i) q^{8} +(-0.994138 - 0.108119i) q^{9} +(0.0466025 + 0.0280398i) q^{10} +(0.0375051 - 0.0355267i) q^{11} +(-0.907575 - 0.419889i) q^{12} +(-4.97780 + 0.541368i) q^{13} +(2.39740 - 0.807778i) q^{14} +(-0.0201310 - 0.0505249i) q^{15} +(-0.725995 - 0.687699i) q^{16} +(1.56763 + 5.64608i) q^{17} +(0.468408 + 0.883512i) q^{18} +(-3.72737 + 2.83347i) q^{19} +(-0.00294449 - 0.0543079i) q^{20} +(-2.39740 - 0.807778i) q^{21} +(-0.0504525 - 0.0111054i) q^{22} +(3.48218 - 6.56809i) q^{23} +(0.161782 + 0.986827i) q^{24} +(-3.23502 + 3.80856i) q^{25} +(3.24156 + 3.81626i) q^{26} +(0.161782 - 0.986827i) q^{27} +(-2.01398 - 1.53099i) q^{28} +(-4.33702 + 6.39663i) q^{29} +(-0.0305217 + 0.0450161i) q^{30} +(8.10725 + 6.16297i) q^{31} +(-0.161782 + 0.986827i) q^{32} +(0.0334442 + 0.0393735i) q^{33} +(3.79347 - 4.46602i) q^{34} +(-0.0222598 - 0.135779i) q^{35} +(0.468408 - 0.883512i) q^{36} +(0.292782 + 0.0644462i) q^{37} +(4.43698 + 1.49499i) q^{38} +(-0.271082 - 4.99981i) q^{39} +(-0.0432977 + 0.0329140i) q^{40} +(0.0856414 + 0.161537i) q^{41} +(0.676801 + 2.43762i) q^{42} +(-7.33873 - 6.95161i) q^{43} +(0.0191214 + 0.0479912i) q^{44} +(0.0515407 - 0.0173661i) q^{45} +(-7.39050 + 0.803765i) q^{46} +(1.94471 + 0.899718i) q^{47} +(0.725995 - 0.687699i) q^{48} +(0.514084 + 0.309314i) q^{49} +(4.96775 + 0.540275i) q^{50} +(-5.72267 + 1.25966i) q^{51} +(1.33955 - 4.82464i) q^{52} +(9.27118 - 5.57828i) q^{53} +(-0.907575 + 0.419889i) q^{54} +(-0.00103997 + 0.00261013i) q^{55} +(-0.136962 + 2.52612i) q^{56} +(-2.62752 - 3.87530i) q^{57} +7.72830 q^{58} +(7.00645 + 3.14795i) q^{59} +0.0543877 q^{60} +(1.89559 + 2.79578i) q^{61} +(0.551340 - 10.1689i) q^{62} +(0.936386 - 2.35015i) q^{63} +(0.907575 - 0.419889i) q^{64} +(0.233346 - 0.140399i) q^{65} +(0.0138206 - 0.0497773i) q^{66} +(2.89152 - 0.636471i) q^{67} +(-5.82532 - 0.633542i) q^{68} +(6.36994 + 3.83267i) q^{69} +(-0.0998908 + 0.0946216i) q^{70} +(-3.69390 - 1.70898i) q^{71} +(-0.994138 + 0.108119i) q^{72} +(-9.37093 + 3.15743i) q^{73} +(-0.110964 - 0.278499i) q^{74} +(-3.62783 - 3.43646i) q^{75} +(-1.25259 - 4.51141i) q^{76} +(0.0612171 + 0.115468i) q^{77} +(-3.98616 + 3.03020i) q^{78} +(-0.382833 - 7.06093i) q^{79} +(0.0515407 + 0.0173661i) q^{80} +(0.976621 + 0.214970i) q^{81} +(0.0856414 - 0.161537i) q^{82} +(-2.48735 - 15.1722i) q^{83} +(1.63778 - 1.92814i) q^{84} +(-0.206318 - 0.242896i) q^{85} +(-1.63537 + 9.97534i) q^{86} +(-6.15244 - 4.67697i) q^{87} +(0.0289911 - 0.0427586i) q^{88} +(8.24122 - 12.1549i) q^{89} +(-0.0432977 - 0.0329140i) q^{90} +(2.04933 - 12.5004i) q^{91} +(4.81272 + 5.66597i) q^{92} +(-6.59285 + 7.76171i) q^{93} +(-0.346659 - 2.11452i) q^{94} +(0.119279 - 0.224984i) q^{95} +(-0.976621 - 0.214970i) q^{96} +(-1.43577 - 0.483766i) q^{97} +(-0.0324814 - 0.599085i) q^{98} +(-0.0411264 + 0.0312635i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} + O(q^{10}) \) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} - 26q^{11} + 3q^{12} - 3q^{13} + q^{14} - 3q^{16} + 3q^{17} - 3q^{18} + 4q^{19} - q^{21} + 3q^{22} - 2q^{23} + 3q^{24} + 41q^{25} + 26q^{26} + 3q^{27} + q^{28} - 2q^{29} + 8q^{31} - 3q^{32} - 3q^{33} - 26q^{34} + 83q^{35} - 3q^{36} - 53q^{37} + 4q^{38} + 3q^{39} - 7q^{41} - q^{42} + 119q^{43} + 3q^{44} - 31q^{46} - 12q^{47} + 3q^{48} - 38q^{49} - 133q^{50} - 3q^{51} - 32q^{52} - 83q^{53} + 3q^{54} - 83q^{55} + q^{56} - 4q^{57} + 56q^{58} - 57q^{59} - 48q^{61} - 21q^{62} + q^{63} - 3q^{64} - 33q^{65} - 3q^{66} - 88q^{67} - 26q^{68} + 89q^{69} - 62q^{70} - 35q^{71} - 3q^{72} - 71q^{73} - 24q^{74} + 17q^{75} + 33q^{76} + 113q^{77} + 3q^{78} - 5q^{79} - 3q^{81} - 7q^{82} - 51q^{83} - q^{84} + 125q^{85} + 61q^{86} + 31q^{87} + 32q^{88} - 58q^{89} + 173q^{91} - 2q^{92} + 21q^{93} + 17q^{94} + 26q^{95} + 3q^{96} + 20q^{98} + 3q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{9}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.561187 0.827689i −0.396819 0.585265i
\(3\) −0.0541389 + 0.998533i −0.0312571 + 0.576504i
\(4\) −0.370138 + 0.928977i −0.185069 + 0.464488i
\(5\) −0.0493609 + 0.0228368i −0.0220749 + 0.0102129i −0.430895 0.902402i \(-0.641802\pi\)
0.408821 + 0.912615i \(0.365940\pi\)
\(6\) 0.856857 0.515554i 0.349810 0.210474i
\(7\) −0.676801 + 2.43762i −0.255807 + 0.921333i 0.718392 + 0.695639i \(0.244879\pi\)
−0.974198 + 0.225694i \(0.927535\pi\)
\(8\) 0.976621 0.214970i 0.345288 0.0760035i
\(9\) −0.994138 0.108119i −0.331379 0.0360397i
\(10\) 0.0466025 + 0.0280398i 0.0147370 + 0.00886696i
\(11\) 0.0375051 0.0355267i 0.0113082 0.0107117i −0.682024 0.731329i \(-0.738900\pi\)
0.693333 + 0.720618i \(0.256142\pi\)
\(12\) −0.907575 0.419889i −0.261994 0.121212i
\(13\) −4.97780 + 0.541368i −1.38059 + 0.150148i −0.768101 0.640329i \(-0.778798\pi\)
−0.612492 + 0.790477i \(0.709833\pi\)
\(14\) 2.39740 0.807778i 0.640732 0.215888i
\(15\) −0.0201310 0.0505249i −0.00519779 0.0130455i
\(16\) −0.725995 0.687699i −0.181499 0.171925i
\(17\) 1.56763 + 5.64608i 0.380205 + 1.36938i 0.868063 + 0.496453i \(0.165365\pi\)
−0.487858 + 0.872923i \(0.662222\pi\)
\(18\) 0.468408 + 0.883512i 0.110405 + 0.208246i
\(19\) −3.72737 + 2.83347i −0.855116 + 0.650042i −0.938045 0.346513i \(-0.887366\pi\)
0.0829289 + 0.996555i \(0.473573\pi\)
\(20\) −0.00294449 0.0543079i −0.000658408 0.0121436i
\(21\) −2.39740 0.807778i −0.523156 0.176272i
\(22\) −0.0504525 0.0111054i −0.0107565 0.00236769i
\(23\) 3.48218 6.56809i 0.726085 1.36954i −0.195242 0.980755i \(-0.562549\pi\)
0.921328 0.388787i \(-0.127106\pi\)
\(24\) 0.161782 + 0.986827i 0.0330236 + 0.201435i
\(25\) −3.23502 + 3.80856i −0.647003 + 0.761711i
\(26\) 3.24156 + 3.81626i 0.635722 + 0.748430i
\(27\) 0.161782 0.986827i 0.0311350 0.189915i
\(28\) −2.01398 1.53099i −0.380606 0.289329i
\(29\) −4.33702 + 6.39663i −0.805364 + 1.18782i 0.173805 + 0.984780i \(0.444394\pi\)
−0.979170 + 0.203044i \(0.934917\pi\)
\(30\) −0.0305217 + 0.0450161i −0.00557247 + 0.00821878i
\(31\) 8.10725 + 6.16297i 1.45611 + 1.10690i 0.972854 + 0.231421i \(0.0743376\pi\)
0.483252 + 0.875481i \(0.339456\pi\)
\(32\) −0.161782 + 0.986827i −0.0285993 + 0.174448i
\(33\) 0.0334442 + 0.0393735i 0.00582188 + 0.00685405i
\(34\) 3.79347 4.46602i 0.650575 0.765916i
\(35\) −0.0222598 0.135779i −0.00376260 0.0229508i
\(36\) 0.468408 0.883512i 0.0780681 0.147252i
\(37\) 0.292782 + 0.0644462i 0.0481330 + 0.0105949i 0.238972 0.971027i \(-0.423190\pi\)
−0.190839 + 0.981621i \(0.561121\pi\)
\(38\) 4.43698 + 1.49499i 0.719773 + 0.242520i
\(39\) −0.271082 4.99981i −0.0434078 0.800610i
\(40\) −0.0432977 + 0.0329140i −0.00684596 + 0.00520416i
\(41\) 0.0856414 + 0.161537i 0.0133749 + 0.0252278i 0.890109 0.455747i \(-0.150628\pi\)
−0.876735 + 0.480975i \(0.840283\pi\)
\(42\) 0.676801 + 2.43762i 0.104433 + 0.376132i
\(43\) −7.33873 6.95161i −1.11915 1.06011i −0.997719 0.0675108i \(-0.978494\pi\)
−0.121427 0.992600i \(-0.538747\pi\)
\(44\) 0.0191214 + 0.0479912i 0.00288267 + 0.00723495i
\(45\) 0.0515407 0.0173661i 0.00768323 0.00258878i
\(46\) −7.39050 + 0.803765i −1.08967 + 0.118509i
\(47\) 1.94471 + 0.899718i 0.283665 + 0.131237i 0.556563 0.830806i \(-0.312120\pi\)
−0.272898 + 0.962043i \(0.587982\pi\)
\(48\) 0.725995 0.687699i 0.104788 0.0992609i
\(49\) 0.514084 + 0.309314i 0.0734406 + 0.0441877i
\(50\) 4.96775 + 0.540275i 0.702546 + 0.0764065i
\(51\) −5.72267 + 1.25966i −0.801334 + 0.176387i
\(52\) 1.33955 4.82464i 0.185763 0.669057i
\(53\) 9.27118 5.57828i 1.27349 0.766236i 0.291760 0.956492i \(-0.405759\pi\)
0.981735 + 0.190256i \(0.0609317\pi\)
\(54\) −0.907575 + 0.419889i −0.123505 + 0.0571397i
\(55\) −0.00103997 + 0.00261013i −0.000140230 + 0.000351950i
\(56\) −0.136962 + 2.52612i −0.0183023 + 0.337567i
\(57\) −2.62752 3.87530i −0.348023 0.513296i
\(58\) 7.72830 1.01477
\(59\) 7.00645 + 3.14795i 0.912163 + 0.409828i
\(60\) 0.0543877 0.00702142
\(61\) 1.89559 + 2.79578i 0.242705 + 0.357963i 0.929458 0.368928i \(-0.120275\pi\)
−0.686753 + 0.726891i \(0.740965\pi\)
\(62\) 0.551340 10.1689i 0.0700202 1.29145i
\(63\) 0.936386 2.35015i 0.117974 0.296091i
\(64\) 0.907575 0.419889i 0.113447 0.0524861i
\(65\) 0.233346 0.140399i 0.0289430 0.0174144i
\(66\) 0.0138206 0.0497773i 0.00170120 0.00612716i
\(67\) 2.89152 0.636471i 0.353255 0.0777573i −0.0347980 0.999394i \(-0.511079\pi\)
0.388053 + 0.921637i \(0.373148\pi\)
\(68\) −5.82532 0.633542i −0.706424 0.0768282i
\(69\) 6.36994 + 3.83267i 0.766851 + 0.461399i
\(70\) −0.0998908 + 0.0946216i −0.0119392 + 0.0113094i
\(71\) −3.69390 1.70898i −0.438385 0.202819i 0.188266 0.982118i \(-0.439713\pi\)
−0.626652 + 0.779299i \(0.715575\pi\)
\(72\) −0.994138 + 0.108119i −0.117160 + 0.0127419i
\(73\) −9.37093 + 3.15743i −1.09678 + 0.369550i −0.808799 0.588085i \(-0.799882\pi\)
−0.287985 + 0.957635i \(0.592985\pi\)
\(74\) −0.110964 0.278499i −0.0128993 0.0323748i
\(75\) −3.62783 3.43646i −0.418906 0.396809i
\(76\) −1.25259 4.51141i −0.143682 0.517494i
\(77\) 0.0612171 + 0.115468i 0.00697633 + 0.0131588i
\(78\) −3.98616 + 3.03020i −0.451343 + 0.343102i
\(79\) −0.382833 7.06093i −0.0430720 0.794417i −0.937666 0.347537i \(-0.887018\pi\)
0.894594 0.446880i \(-0.147465\pi\)
\(80\) 0.0515407 + 0.0173661i 0.00576242 + 0.00194159i
\(81\) 0.976621 + 0.214970i 0.108513 + 0.0238856i
\(82\) 0.0856414 0.161537i 0.00945751 0.0178388i
\(83\) −2.48735 15.1722i −0.273022 1.66536i −0.666105 0.745858i \(-0.732040\pi\)
0.393083 0.919503i \(-0.371408\pi\)
\(84\) 1.63778 1.92814i 0.178696 0.210377i
\(85\) −0.206318 0.242896i −0.0223783 0.0263458i
\(86\) −1.63537 + 9.97534i −0.176347 + 1.07567i
\(87\) −6.15244 4.67697i −0.659611 0.501423i
\(88\) 0.0289911 0.0427586i 0.00309046 0.00455809i
\(89\) 8.24122 12.1549i 0.873568 1.28842i −0.0828943 0.996558i \(-0.526416\pi\)
0.956462 0.291857i \(-0.0942733\pi\)
\(90\) −0.0432977 0.0329140i −0.00456397 0.00346944i
\(91\) 2.04933 12.5004i 0.214828 1.31039i
\(92\) 4.81272 + 5.66597i 0.501761 + 0.590718i
\(93\) −6.59285 + 7.76171i −0.683647 + 0.804851i
\(94\) −0.346659 2.11452i −0.0357551 0.218097i
\(95\) 0.119279 0.224984i 0.0122378 0.0230828i
\(96\) −0.976621 0.214970i −0.0996759 0.0219403i
\(97\) −1.43577 0.483766i −0.145780 0.0491190i 0.245466 0.969405i \(-0.421059\pi\)
−0.391246 + 0.920286i \(0.627956\pi\)
\(98\) −0.0324814 0.599085i −0.00328112 0.0605167i
\(99\) −0.0411264 + 0.0312635i −0.00413336 + 0.00314210i
\(100\) −2.34066 4.41495i −0.234066 0.441495i
\(101\) 0.269281 + 0.969863i 0.0267945 + 0.0965050i 0.975738 0.218940i \(-0.0702600\pi\)
−0.948944 + 0.315445i \(0.897846\pi\)
\(102\) 4.25409 + 4.02969i 0.421218 + 0.398999i
\(103\) 0.0346054 + 0.0868530i 0.00340977 + 0.00855788i 0.930672 0.365855i \(-0.119223\pi\)
−0.927262 + 0.374413i \(0.877844\pi\)
\(104\) −4.74504 + 1.59879i −0.465290 + 0.156774i
\(105\) 0.136785 0.0148763i 0.0133488 0.00145177i
\(106\) −9.81995 4.54319i −0.953798 0.441274i
\(107\) −7.98102 + 7.56002i −0.771554 + 0.730855i −0.968352 0.249589i \(-0.919704\pi\)
0.196798 + 0.980444i \(0.436946\pi\)
\(108\) 0.856857 + 0.515554i 0.0824511 + 0.0496092i
\(109\) 10.8573 + 1.18080i 1.03994 + 0.113100i 0.612120 0.790765i \(-0.290317\pi\)
0.427818 + 0.903865i \(0.359282\pi\)
\(110\) 0.00274399 0.000603999i 0.000261630 5.75890e-5i
\(111\) −0.0802025 + 0.288863i −0.00761249 + 0.0274177i
\(112\) 2.16770 1.30426i 0.204829 0.123241i
\(113\) −9.16498 + 4.24017i −0.862169 + 0.398882i −0.800584 0.599220i \(-0.795477\pi\)
−0.0615845 + 0.998102i \(0.519615\pi\)
\(114\) −1.73301 + 4.34954i −0.162312 + 0.407371i
\(115\) −0.0218896 + 0.403729i −0.00204121 + 0.0376479i
\(116\) −4.33702 6.39663i −0.402682 0.593912i
\(117\) 5.00715 0.462911
\(118\) −1.32641 7.56575i −0.122106 0.696484i
\(119\) −14.8240 −1.35891
\(120\) −0.0305217 0.0450161i −0.00278623 0.00410939i
\(121\) −0.595384 + 10.9812i −0.0541258 + 0.998291i
\(122\) 1.25026 3.13791i 0.113193 0.284093i
\(123\) −0.165936 + 0.0767704i −0.0149620 + 0.00692215i
\(124\) −8.72606 + 5.25030i −0.783624 + 0.471491i
\(125\) 0.145459 0.523898i 0.0130103 0.0468588i
\(126\) −2.47068 + 0.543838i −0.220106 + 0.0484490i
\(127\) 16.1561 + 1.75708i 1.43362 + 0.155916i 0.791727 0.610875i \(-0.209182\pi\)
0.641897 + 0.766791i \(0.278148\pi\)
\(128\) −0.856857 0.515554i −0.0757362 0.0455690i
\(129\) 7.33873 6.95161i 0.646139 0.612055i
\(130\) −0.247158 0.114347i −0.0216771 0.0100289i
\(131\) 7.11351 0.773640i 0.621510 0.0675933i 0.208054 0.978117i \(-0.433287\pi\)
0.413456 + 0.910524i \(0.364322\pi\)
\(132\) −0.0489560 + 0.0164952i −0.00426108 + 0.00143572i
\(133\) −4.38423 11.0036i −0.380161 0.954132i
\(134\) −2.14948 2.03610i −0.185687 0.175892i
\(135\) 0.0145502 + 0.0524053i 0.00125229 + 0.00451033i
\(136\) 2.74472 + 5.17709i 0.235358 + 0.443932i
\(137\) 2.94557 2.23916i 0.251657 0.191304i −0.471739 0.881738i \(-0.656373\pi\)
0.723395 + 0.690434i \(0.242580\pi\)
\(138\) −0.402473 7.42317i −0.0342607 0.631902i
\(139\) 20.7315 + 6.98526i 1.75842 + 0.592482i 0.998354 0.0573596i \(-0.0182682\pi\)
0.760070 + 0.649841i \(0.225165\pi\)
\(140\) 0.134375 + 0.0295781i 0.0113567 + 0.00249981i
\(141\) −1.00368 + 1.89315i −0.0845254 + 0.159432i
\(142\) 0.658465 + 4.01646i 0.0552572 + 0.337054i
\(143\) −0.167460 + 0.197149i −0.0140037 + 0.0164864i
\(144\) 0.647386 + 0.762162i 0.0539489 + 0.0635135i
\(145\) 0.0680009 0.414787i 0.00564717 0.0344462i
\(146\) 7.87222 + 5.98431i 0.651509 + 0.495265i
\(147\) −0.336692 + 0.496584i −0.0277699 + 0.0409576i
\(148\) −0.168239 + 0.248134i −0.0138291 + 0.0203965i
\(149\) 3.07820 + 2.33999i 0.252176 + 0.191699i 0.723623 0.690195i \(-0.242475\pi\)
−0.471448 + 0.881894i \(0.656268\pi\)
\(150\) −0.808431 + 4.93121i −0.0660081 + 0.402632i
\(151\) 7.01021 + 8.25306i 0.570483 + 0.671625i 0.969435 0.245347i \(-0.0789019\pi\)
−0.398952 + 0.916972i \(0.630626\pi\)
\(152\) −3.03111 + 3.56850i −0.245855 + 0.289443i
\(153\) −0.947989 5.78248i −0.0766404 0.467485i
\(154\) 0.0612171 0.115468i 0.00493301 0.00930465i
\(155\) −0.540924 0.119066i −0.0434481 0.00956364i
\(156\) 4.74504 + 1.59879i 0.379907 + 0.128006i
\(157\) 0.537099 + 9.90621i 0.0428652 + 0.790601i 0.938388 + 0.345585i \(0.112319\pi\)
−0.895522 + 0.445016i \(0.853198\pi\)
\(158\) −5.62942 + 4.27937i −0.447852 + 0.340448i
\(159\) 5.06817 + 9.55958i 0.401932 + 0.758124i
\(160\) −0.0145502 0.0524053i −0.00115030 0.00414300i
\(161\) 13.6538 + 12.9335i 1.07607 + 1.01930i
\(162\) −0.370138 0.928977i −0.0290808 0.0729873i
\(163\) −10.7534 + 3.62325i −0.842273 + 0.283795i −0.707176 0.707038i \(-0.750031\pi\)
−0.135097 + 0.990832i \(0.543135\pi\)
\(164\) −0.181763 + 0.0197679i −0.0141933 + 0.00154362i
\(165\) −0.00255000 0.00117976i −0.000198517 9.18438e-5i
\(166\) −11.1620 + 10.5732i −0.866336 + 0.820637i
\(167\) 8.95150 + 5.38594i 0.692688 + 0.416776i 0.817905 0.575353i \(-0.195135\pi\)
−0.125218 + 0.992129i \(0.539963\pi\)
\(168\) −2.51500 0.273523i −0.194036 0.0211027i
\(169\) 11.7893 2.59503i 0.906871 0.199617i
\(170\) −0.0852596 + 0.307077i −0.00653911 + 0.0235518i
\(171\) 4.01187 2.41386i 0.306795 0.184593i
\(172\) 9.17423 4.24445i 0.699529 0.323636i
\(173\) −5.35868 + 13.4493i −0.407413 + 1.02253i 0.571926 + 0.820305i \(0.306196\pi\)
−0.979339 + 0.202224i \(0.935183\pi\)
\(174\) −0.418402 + 7.71696i −0.0317189 + 0.585021i
\(175\) −7.09434 10.4634i −0.536281 0.790956i
\(176\) −0.0516603 −0.00389404
\(177\) −3.52266 + 6.82575i −0.264779 + 0.513055i
\(178\) −14.6853 −1.10071
\(179\) −9.27630 13.6815i −0.693343 1.02260i −0.997547 0.0699979i \(-0.977701\pi\)
0.304204 0.952607i \(-0.401610\pi\)
\(180\) −0.00294449 + 0.0543079i −0.000219469 + 0.00404787i
\(181\) −0.187405 + 0.470351i −0.0139297 + 0.0349609i −0.935777 0.352592i \(-0.885300\pi\)
0.921847 + 0.387553i \(0.126680\pi\)
\(182\) −11.4965 + 5.31883i −0.852175 + 0.394258i
\(183\) −2.89430 + 1.74145i −0.213953 + 0.128731i
\(184\) 1.98883 7.16310i 0.146618 0.528071i
\(185\) −0.0159237 + 0.00350508i −0.00117074 + 0.000257698i
\(186\) 10.1241 + 1.10106i 0.742335 + 0.0807338i
\(187\) 0.259381 + 0.156064i 0.0189678 + 0.0114126i
\(188\) −1.55563 + 1.47357i −0.113456 + 0.107471i
\(189\) 2.29601 + 1.06225i 0.167010 + 0.0772671i
\(190\) −0.253154 + 0.0275322i −0.0183657 + 0.00199740i
\(191\) −7.26326 + 2.44728i −0.525551 + 0.177079i −0.569556 0.821953i \(-0.692885\pi\)
0.0440049 + 0.999031i \(0.485988\pi\)
\(192\) 0.370138 + 0.928977i 0.0267124 + 0.0670431i
\(193\) 10.5832 + 10.0250i 0.761798 + 0.721613i 0.966347 0.257243i \(-0.0828142\pi\)
−0.204549 + 0.978856i \(0.565573\pi\)
\(194\) 0.405326 + 1.45985i 0.0291007 + 0.104811i
\(195\) 0.127560 + 0.240604i 0.00913479 + 0.0172300i
\(196\) −0.477628 + 0.363083i −0.0341163 + 0.0259345i
\(197\) 0.825110 + 15.2183i 0.0587867 + 1.08426i 0.867943 + 0.496663i \(0.165442\pi\)
−0.809157 + 0.587593i \(0.800076\pi\)
\(198\) 0.0489560 + 0.0164952i 0.00347915 + 0.00117226i
\(199\) 19.6447 + 4.32412i 1.39257 + 0.306529i 0.847026 0.531551i \(-0.178391\pi\)
0.545548 + 0.838080i \(0.316322\pi\)
\(200\) −2.34066 + 4.41495i −0.165509 + 0.312184i
\(201\) 0.478994 + 2.92173i 0.0337856 + 0.206083i
\(202\) 0.651628 0.767156i 0.0458484 0.0539769i
\(203\) −12.6572 14.9012i −0.888363 1.04586i
\(204\) 0.947989 5.78248i 0.0663725 0.404854i
\(205\) −0.00791632 0.00601783i −0.000552900 0.000420303i
\(206\) 0.0524672 0.0773833i 0.00365556 0.00539155i
\(207\) −4.17191 + 6.15310i −0.289968 + 0.427670i
\(208\) 3.98616 + 3.03020i 0.276390 + 0.210106i
\(209\) −0.0391314 + 0.238691i −0.00270677 + 0.0165106i
\(210\) −0.0890749 0.104867i −0.00614675 0.00723651i
\(211\) 1.39867 1.64664i 0.0962885 0.113360i −0.711907 0.702273i \(-0.752168\pi\)
0.808196 + 0.588914i \(0.200444\pi\)
\(212\) 1.75048 + 10.6774i 0.120223 + 0.733330i
\(213\) 1.90646 3.59596i 0.130628 0.246391i
\(214\) 10.7362 + 2.36321i 0.733911 + 0.161546i
\(215\) 0.520999 + 0.175545i 0.0355318 + 0.0119721i
\(216\) −0.0541389 0.998533i −0.00368369 0.0679416i
\(217\) −20.5100 + 15.5913i −1.39231 + 1.05840i
\(218\) −5.11563 9.64910i −0.346474 0.653520i
\(219\) −2.64547 9.52813i −0.178764 0.643851i
\(220\) −0.00203982 0.00193222i −0.000137524 0.000130270i
\(221\) −10.8599 27.2564i −0.730519 1.83346i
\(222\) 0.284098 0.0957237i 0.0190674 0.00642455i
\(223\) −4.16142 + 0.452582i −0.278669 + 0.0303071i −0.246386 0.969172i \(-0.579243\pi\)
−0.0322828 + 0.999479i \(0.510278\pi\)
\(224\) −2.29601 1.06225i −0.153409 0.0709744i
\(225\) 3.62783 3.43646i 0.241855 0.229098i
\(226\) 8.65281 + 5.20622i 0.575576 + 0.346313i
\(227\) −12.6563 1.37646i −0.840028 0.0913585i −0.322018 0.946733i \(-0.604361\pi\)
−0.518010 + 0.855375i \(0.673327\pi\)
\(228\) 4.57261 1.00651i 0.302828 0.0666576i
\(229\) −1.49299 + 5.37726i −0.0986595 + 0.355339i −0.996358 0.0852713i \(-0.972824\pi\)
0.897698 + 0.440611i \(0.145238\pi\)
\(230\) 0.346446 0.208450i 0.0228440 0.0137448i
\(231\) −0.118613 + 0.0548760i −0.00780413 + 0.00361058i
\(232\) −2.86054 + 7.17941i −0.187803 + 0.471351i
\(233\) −0.388057 + 7.15729i −0.0254225 + 0.468890i 0.957909 + 0.287070i \(0.0926814\pi\)
−0.983332 + 0.181819i \(0.941801\pi\)
\(234\) −2.80995 4.14436i −0.183692 0.270925i
\(235\) −0.116539 −0.00760219
\(236\) −5.51773 + 5.34366i −0.359174 + 0.347842i
\(237\) 7.07130 0.459331
\(238\) 8.31901 + 12.2696i 0.539242 + 0.795322i
\(239\) 0.828543 15.2816i 0.0535940 0.988483i −0.840840 0.541283i \(-0.817939\pi\)
0.894434 0.447199i \(-0.147579\pi\)
\(240\) −0.0201310 + 0.0505249i −0.00129945 + 0.00326137i
\(241\) −25.0313 + 11.5807i −1.61241 + 0.745979i −0.999039 0.0438189i \(-0.986048\pi\)
−0.613367 + 0.789798i \(0.710185\pi\)
\(242\) 9.42314 5.66972i 0.605743 0.364463i
\(243\) −0.267528 + 0.963550i −0.0171620 + 0.0618118i
\(244\) −3.29884 + 0.726130i −0.211187 + 0.0464857i
\(245\) −0.0324394 0.00352800i −0.00207248 0.000225396i
\(246\) 0.156663 + 0.0942612i 0.00998849 + 0.00600987i
\(247\) 17.0201 16.1223i 1.08296 1.02584i
\(248\) 9.24257 + 4.27607i 0.586904 + 0.271531i
\(249\) 15.2846 1.66230i 0.968620 0.105344i
\(250\) −0.515254 + 0.173609i −0.0325875 + 0.0109800i
\(251\) −0.298557 0.749321i −0.0188447 0.0472967i 0.919253 0.393667i \(-0.128794\pi\)
−0.938098 + 0.346370i \(0.887414\pi\)
\(252\) 1.83664 + 1.73976i 0.115698 + 0.109595i
\(253\) −0.102743 0.370048i −0.00645942 0.0232647i
\(254\) −7.61229 14.3583i −0.477637 0.900920i
\(255\) 0.253710 0.192865i 0.0158879 0.0120777i
\(256\) 0.0541389 + 0.998533i 0.00338368 + 0.0624083i
\(257\) −7.77321 2.61910i −0.484879 0.163375i 0.0662360 0.997804i \(-0.478901\pi\)
−0.551115 + 0.834429i \(0.685798\pi\)
\(258\) −9.87217 2.17303i −0.614615 0.135287i
\(259\) −0.355250 + 0.670073i −0.0220742 + 0.0416363i
\(260\) 0.0440576 + 0.268740i 0.00273234 + 0.0166665i
\(261\) 5.00319 5.89021i 0.309690 0.364595i
\(262\) −4.63234 5.45361i −0.286187 0.336925i
\(263\) −0.373678 + 2.27933i −0.0230419 + 0.140550i −0.995842 0.0910964i \(-0.970963\pi\)
0.972800 + 0.231646i \(0.0744111\pi\)
\(264\) 0.0411264 + 0.0312635i 0.00253115 + 0.00192413i
\(265\) −0.330244 + 0.487073i −0.0202867 + 0.0299207i
\(266\) −6.64717 + 9.80385i −0.407564 + 0.601112i
\(267\) 11.6909 + 8.88719i 0.715471 + 0.543887i
\(268\) −0.478994 + 2.92173i −0.0292592 + 0.178473i
\(269\) 5.91513 + 6.96382i 0.360652 + 0.424592i 0.912324 0.409469i \(-0.134286\pi\)
−0.551672 + 0.834061i \(0.686010\pi\)
\(270\) 0.0352098 0.0414522i 0.00214280 0.00252270i
\(271\) −3.39929 20.7347i −0.206492 1.25955i −0.862991 0.505219i \(-0.831412\pi\)
0.656499 0.754327i \(-0.272037\pi\)
\(272\) 2.74472 5.17709i 0.166423 0.313907i
\(273\) 12.3711 + 2.72308i 0.748732 + 0.164808i
\(274\) −3.50634 1.18142i −0.211826 0.0713724i
\(275\) 0.0139759 + 0.257770i 0.000842777 + 0.0155441i
\(276\) −5.91822 + 4.49891i −0.356235 + 0.270803i
\(277\) −14.4001 27.1615i −0.865218 1.63197i −0.771369 0.636388i \(-0.780428\pi\)
−0.0938485 0.995586i \(-0.529917\pi\)
\(278\) −5.85263 21.0793i −0.351018 1.26425i
\(279\) −7.39339 7.00339i −0.442631 0.419282i
\(280\) −0.0509279 0.127819i −0.00304352 0.00763867i
\(281\) −0.793420 + 0.267334i −0.0473315 + 0.0159478i −0.342868 0.939384i \(-0.611398\pi\)
0.295536 + 0.955332i \(0.404502\pi\)
\(282\) 2.13019 0.231672i 0.126851 0.0137959i
\(283\) 7.94546 + 3.67596i 0.472308 + 0.218513i 0.641580 0.767056i \(-0.278279\pi\)
−0.169271 + 0.985569i \(0.554141\pi\)
\(284\) 2.95486 2.79899i 0.175339 0.166089i
\(285\) 0.218196 + 0.131284i 0.0129248 + 0.00777661i
\(286\) 0.257154 + 0.0279672i 0.0152059 + 0.00165374i
\(287\) −0.451727 + 0.0994326i −0.0266646 + 0.00586932i
\(288\) 0.267528 0.963550i 0.0157643 0.0567777i
\(289\) −14.8542 + 8.93749i −0.873778 + 0.525735i
\(290\) −0.381476 + 0.176490i −0.0224010 + 0.0103638i
\(291\) 0.560788 1.40747i 0.0328740 0.0825074i
\(292\) 0.535356 9.87406i 0.0313294 0.577836i
\(293\) −14.6597 21.6214i −0.856428 1.26314i −0.963182 0.268851i \(-0.913356\pi\)
0.106754 0.994285i \(-0.465954\pi\)
\(294\) 0.599965 0.0349907
\(295\) −0.417734 + 0.00461913i −0.0243214 + 0.000268936i
\(296\) 0.299791 0.0174250
\(297\) −0.0289911 0.0427586i −0.00168223 0.00248111i
\(298\) 0.209335 3.86096i 0.0121265 0.223659i
\(299\) −13.7778 + 34.5798i −0.796793 + 1.99980i
\(300\) 4.53519 2.09820i 0.261839 0.121140i
\(301\) 21.9122 13.1842i 1.26300 0.759922i
\(302\) 2.89693 10.4338i 0.166699 0.600397i
\(303\) −0.983019 + 0.216379i −0.0564730 + 0.0124306i
\(304\) 4.65463 + 0.506221i 0.266961 + 0.0290338i
\(305\) −0.157415 0.0947132i −0.00901353 0.00542326i
\(306\) −4.25409 + 4.02969i −0.243190 + 0.230362i
\(307\) −28.6530 13.2563i −1.63531 0.756577i −0.635436 0.772154i \(-0.719180\pi\)
−0.999879 + 0.0155764i \(0.995042\pi\)
\(308\) −0.129926 + 0.0141303i −0.00740320 + 0.000805146i
\(309\) −0.0885991 + 0.0298525i −0.00504023 + 0.00169825i
\(310\) 0.205010 + 0.514535i 0.0116438 + 0.0292236i
\(311\) 17.2724 + 16.3613i 0.979427 + 0.927763i 0.997399 0.0720758i \(-0.0229624\pi\)
−0.0179720 + 0.999838i \(0.505721\pi\)
\(312\) −1.33955 4.82464i −0.0758373 0.273141i
\(313\) 9.20439 + 17.3613i 0.520263 + 0.981320i 0.994874 + 0.101124i \(0.0322440\pi\)
−0.474611 + 0.880196i \(0.657411\pi\)
\(314\) 7.89784 6.00379i 0.445701 0.338813i
\(315\) 0.00744906 + 0.137390i 0.000419707 + 0.00774104i
\(316\) 6.70114 + 2.25788i 0.376969 + 0.127016i
\(317\) 3.49290 + 0.768845i 0.196181 + 0.0431826i 0.311974 0.950091i \(-0.399010\pi\)
−0.115793 + 0.993273i \(0.536941\pi\)
\(318\) 5.06817 9.55958i 0.284209 0.536075i
\(319\) 0.0645908 + 0.393986i 0.00361639 + 0.0220590i
\(320\) −0.0352098 + 0.0414522i −0.00196829 + 0.00231725i
\(321\) −7.11685 8.37860i −0.397224 0.467648i
\(322\) 3.04262 18.5592i 0.169559 1.03426i
\(323\) −21.8411 16.6032i −1.21527 0.923826i
\(324\) −0.561187 + 0.827689i −0.0311771 + 0.0459827i
\(325\) 14.0414 20.7096i 0.778878 1.14876i
\(326\) 9.03361 + 6.86717i 0.500325 + 0.380337i
\(327\) −1.76687 + 10.7774i −0.0977081 + 0.595993i
\(328\) 0.118365 + 0.139350i 0.00653560 + 0.00769430i
\(329\) −3.50935 + 4.13152i −0.193477 + 0.227778i
\(330\) 0.000454556 0.00277267i 2.50225e−5 0.000152630i
\(331\) −16.5127 + 31.1463i −0.907623 + 1.71196i −0.234966 + 0.972004i \(0.575498\pi\)
−0.672657 + 0.739954i \(0.734847\pi\)
\(332\) 15.0152 + 3.30511i 0.824069 + 0.181391i
\(333\) −0.284098 0.0957237i −0.0155685 0.00524562i
\(334\) −0.565584 10.4316i −0.0309474 0.570790i
\(335\) −0.128193 + 0.0974498i −0.00700393 + 0.00532425i
\(336\) 1.18499 + 2.23513i 0.0646467 + 0.121937i
\(337\) −0.656506 2.36452i −0.0357622 0.128804i 0.943514 0.331332i \(-0.107498\pi\)
−0.979276 + 0.202528i \(0.935084\pi\)
\(338\) −8.76389 8.30159i −0.476693 0.451547i
\(339\) −3.73777 9.38110i −0.203008 0.509511i
\(340\) 0.302011 0.101759i 0.0163789 0.00551868i
\(341\) 0.523014 0.0568812i 0.0283228 0.00308029i
\(342\) −4.24933 1.96595i −0.229778 0.106306i
\(343\) −13.9584 + 13.2221i −0.753685 + 0.713928i
\(344\) −8.66155 5.21148i −0.466999 0.280984i
\(345\) −0.401952 0.0437149i −0.0216404 0.00235353i
\(346\) 14.1390 3.11224i 0.760119 0.167315i
\(347\) 3.13864 11.3044i 0.168491 0.606850i −0.830283 0.557343i \(-0.811821\pi\)
0.998774 0.0495077i \(-0.0157652\pi\)
\(348\) 6.62205 3.98435i 0.354979 0.213584i
\(349\) −26.2901 + 12.1631i −1.40728 + 0.651077i −0.968841 0.247685i \(-0.920330\pi\)
−0.438438 + 0.898761i \(0.644468\pi\)
\(350\) −4.67916 + 11.7438i −0.250112 + 0.627733i
\(351\) −0.271082 + 4.99981i −0.0144693 + 0.266870i
\(352\) 0.0289911 + 0.0427586i 0.00154523 + 0.00227904i
\(353\) 31.7765 1.69129 0.845646 0.533744i \(-0.179215\pi\)
0.845646 + 0.533744i \(0.179215\pi\)
\(354\) 7.62647 0.914859i 0.405342 0.0486242i
\(355\) 0.221362 0.0117487
\(356\) 8.24122 + 12.1549i 0.436784 + 0.644208i
\(357\) 0.802553 14.8022i 0.0424756 0.783416i
\(358\) −6.11830 + 15.3558i −0.323362 + 0.811578i
\(359\) 16.6406 7.69874i 0.878255 0.406324i 0.0716605 0.997429i \(-0.477170\pi\)
0.806595 + 0.591105i \(0.201308\pi\)
\(360\) 0.0466025 0.0280398i 0.00245617 0.00147783i
\(361\) 0.781665 2.81530i 0.0411403 0.148174i
\(362\) 0.494474 0.108842i 0.0259890 0.00572061i
\(363\) −10.9329 1.18902i −0.573827 0.0624074i
\(364\) 10.8540 + 6.53064i 0.568905 + 0.342299i
\(365\) 0.390452 0.369856i 0.0204372 0.0193591i
\(366\) 3.06562 + 1.41831i 0.160243 + 0.0741361i
\(367\) 22.4129 2.43755i 1.16994 0.127239i 0.497551 0.867435i \(-0.334233\pi\)
0.672391 + 0.740196i \(0.265267\pi\)
\(368\) −7.04492 + 2.37371i −0.367242 + 0.123738i
\(369\) −0.0676741 0.169849i −0.00352298 0.00884200i
\(370\) 0.0118373 + 0.0112129i 0.000615392 + 0.000582930i
\(371\) 7.32297 + 26.3750i 0.380190 + 1.36932i
\(372\) −4.77018 8.99751i −0.247322 0.466499i
\(373\) 12.5892 9.57009i 0.651846 0.495521i −0.226210 0.974079i \(-0.572633\pi\)
0.878056 + 0.478558i \(0.158840\pi\)
\(374\) −0.0163885 0.302268i −0.000847429 0.0156299i
\(375\) 0.515254 + 0.173609i 0.0266076 + 0.00896515i
\(376\) 2.09266 + 0.460628i 0.107920 + 0.0237551i
\(377\) 18.1259 34.1890i 0.933530 1.76082i
\(378\) −0.409281 2.49650i −0.0210511 0.128406i
\(379\) 10.9703 12.9152i 0.563504 0.663409i −0.404443 0.914563i \(-0.632534\pi\)
0.967947 + 0.251155i \(0.0808103\pi\)
\(380\) 0.164855 + 0.194082i 0.00845688 + 0.00995621i
\(381\) −2.62918 + 16.0373i −0.134697 + 0.821616i
\(382\) 6.10163 + 4.63834i 0.312187 + 0.237318i
\(383\) 4.16049 6.13626i 0.212591 0.313548i −0.706410 0.707802i \(-0.749687\pi\)
0.919001 + 0.394254i \(0.128997\pi\)
\(384\) 0.561187 0.827689i 0.0286380 0.0422378i
\(385\) −0.00565864 0.00430159i −0.000288391 0.000219229i
\(386\) 2.35838 14.3855i 0.120039 0.732203i
\(387\) 6.54411 + 7.70432i 0.332656 + 0.391633i
\(388\) 0.980840 1.15473i 0.0497946 0.0586227i
\(389\) −1.29858 7.92101i −0.0658408 0.401611i −0.999100 0.0424083i \(-0.986497\pi\)
0.933260 0.359203i \(-0.116951\pi\)
\(390\) 0.127560 0.240604i 0.00645927 0.0121835i
\(391\) 42.5428 + 9.36437i 2.15148 + 0.473577i
\(392\) 0.568558 + 0.191570i 0.0287165 + 0.00967573i
\(393\) 0.387388 + 7.14496i 0.0195412 + 0.360415i
\(394\) 12.1329 9.22322i 0.611249 0.464659i
\(395\) 0.180146 + 0.339792i 0.00906413 + 0.0170968i
\(396\) −0.0138206 0.0497773i −0.000694511 0.00250140i
\(397\) −9.50182 9.00060i −0.476883 0.451727i 0.411109 0.911586i \(-0.365141\pi\)
−0.887992 + 0.459859i \(0.847900\pi\)
\(398\) −7.44531 18.6863i −0.373200 0.936661i
\(399\) 11.2248 3.78208i 0.561943 0.189341i
\(400\) 4.96775 0.540275i 0.248387 0.0270138i
\(401\) −15.6320 7.23211i −0.780623 0.361154i −0.0112352 0.999937i \(-0.503576\pi\)
−0.769387 + 0.638782i \(0.779438\pi\)
\(402\) 2.14948 2.03610i 0.107206 0.101551i
\(403\) −43.6927 26.2890i −2.17649 1.30955i
\(404\) −1.00065 0.108827i −0.0497843 0.00541437i
\(405\) −0.0531161 + 0.0116917i −0.00263936 + 0.000580967i
\(406\) −5.23052 + 18.8386i −0.259586 + 0.934945i
\(407\) 0.0132704 0.00798453i 0.000657789 0.000395778i
\(408\) −5.31809 + 2.46041i −0.263285 + 0.121808i
\(409\) −2.03787 + 5.11466i −0.100766 + 0.252904i −0.970713 0.240241i \(-0.922773\pi\)
0.869947 + 0.493145i \(0.164153\pi\)
\(410\) −0.000538355 0.00992938i −2.65875e−5 0.000490377i
\(411\) 2.07641 + 3.06247i 0.102422 + 0.151061i
\(412\) −0.0934932 −0.00460608
\(413\) −12.4155 + 14.9485i −0.610926 + 0.735568i
\(414\) 7.43407 0.365365
\(415\) 0.469261 + 0.692109i 0.0230351 + 0.0339743i
\(416\) 0.271082 4.99981i 0.0132909 0.245136i
\(417\) −8.09739 + 20.3229i −0.396531 + 0.995218i
\(418\) 0.219522 0.101562i 0.0107372 0.00496754i
\(419\) −12.1203 + 7.29253i −0.592115 + 0.356264i −0.779860 0.625954i \(-0.784710\pi\)
0.187745 + 0.982218i \(0.439882\pi\)
\(420\) −0.0368096 + 0.132576i −0.00179613 + 0.00646906i
\(421\) −1.39251 + 0.306514i −0.0678666 + 0.0149386i −0.248774 0.968562i \(-0.580028\pi\)
0.180907 + 0.983500i \(0.442097\pi\)
\(422\) −2.14782 0.233590i −0.104554 0.0113710i
\(423\) −1.83603 1.10470i −0.0892709 0.0537125i
\(424\) 7.85526 7.44090i 0.381485 0.361362i
\(425\) −26.5747 12.2948i −1.28906 0.596384i
\(426\) −4.04622 + 0.440053i −0.196040 + 0.0213206i
\(427\) −8.09798 + 2.72853i −0.391888 + 0.132043i
\(428\) −4.06900 10.2124i −0.196683 0.493636i
\(429\) −0.187794 0.177888i −0.00906677 0.00858850i
\(430\) −0.147081 0.529739i −0.00709289 0.0255463i
\(431\) 4.30862 + 8.12692i 0.207539 + 0.391460i 0.965328 0.261040i \(-0.0840653\pi\)
−0.757789 + 0.652499i \(0.773720\pi\)
\(432\) −0.796093 + 0.605174i −0.0383020 + 0.0291165i
\(433\) −1.14507 21.1196i −0.0550286 1.01494i −0.887481 0.460845i \(-0.847546\pi\)
0.832452 0.554097i \(-0.186936\pi\)
\(434\) 24.4146 + 8.22625i 1.17194 + 0.394873i
\(435\) 0.410497 + 0.0903573i 0.0196818 + 0.00433230i
\(436\) −5.11563 + 9.64910i −0.244994 + 0.462108i
\(437\) 5.63113 + 34.3483i 0.269373 + 1.64310i
\(438\) −6.40172 + 7.53669i −0.305886 + 0.360117i
\(439\) 21.8654 + 25.7419i 1.04358 + 1.22859i 0.972932 + 0.231092i \(0.0742299\pi\)
0.0706451 + 0.997502i \(0.477494\pi\)
\(440\) −0.000454556 0.00277267i −2.16701e−5 0.000132182i
\(441\) −0.477628 0.363083i −0.0227442 0.0172897i
\(442\) −16.4654 + 24.2846i −0.783177 + 1.15510i
\(443\) −8.56531 + 12.6329i −0.406950 + 0.600206i −0.974842 0.222897i \(-0.928449\pi\)
0.567892 + 0.823103i \(0.307759\pi\)
\(444\) −0.238661 0.181426i −0.0113264 0.00861008i
\(445\) −0.129215 + 0.788180i −0.00612540 + 0.0373633i
\(446\) 2.70993 + 3.19038i 0.128319 + 0.151069i
\(447\) −2.50320 + 2.94700i −0.118398 + 0.139388i
\(448\) 0.409281 + 2.49650i 0.0193367 + 0.117949i
\(449\) −15.1151 + 28.5102i −0.713327 + 1.34548i 0.216063 + 0.976379i \(0.430678\pi\)
−0.929390 + 0.369099i \(0.879666\pi\)
\(450\) −4.88021 1.07422i −0.230055 0.0506390i
\(451\) 0.00895087 + 0.00301590i 0.000421480 + 0.000142013i
\(452\) −0.546712 10.0835i −0.0257152 0.474288i
\(453\) −8.62048 + 6.55312i −0.405026 + 0.307893i
\(454\) 5.96327 + 11.2479i 0.279870 + 0.527891i
\(455\) 0.184311 + 0.663829i 0.00864065 + 0.0311208i
\(456\) −3.39916 3.21986i −0.159180 0.150784i
\(457\) −1.51154 3.79368i −0.0707068 0.177461i 0.889376 0.457176i \(-0.151139\pi\)
−0.960083 + 0.279716i \(0.909760\pi\)
\(458\) 5.28855 1.78192i 0.247118 0.0832636i
\(459\) 5.82532 0.633542i 0.271903 0.0295712i
\(460\) −0.366953 0.169770i −0.0171093 0.00791559i
\(461\) 22.9524 21.7417i 1.06900 1.01261i 0.0691137 0.997609i \(-0.477983\pi\)
0.999887 0.0150028i \(-0.00477573\pi\)
\(462\) 0.111984 + 0.0673786i 0.00520997 + 0.00313474i
\(463\) −15.2672 1.66041i −0.709526 0.0771656i −0.253763 0.967267i \(-0.581668\pi\)
−0.455764 + 0.890101i \(0.650634\pi\)
\(464\) 7.54761 1.66136i 0.350389 0.0771265i
\(465\) 0.148177 0.533685i 0.00687153 0.0247490i
\(466\) 6.14178 3.69539i 0.284513 0.171186i
\(467\) 7.97138 3.68795i 0.368872 0.170658i −0.226692 0.973967i \(-0.572791\pi\)
0.595563 + 0.803308i \(0.296929\pi\)
\(468\) −1.85334 + 4.65153i −0.0856705 + 0.215017i
\(469\) −0.405509 + 7.47917i −0.0187247 + 0.345356i
\(470\) 0.0654003 + 0.0964583i 0.00301669 + 0.00444929i
\(471\) −9.92075 −0.457124
\(472\) 7.51936 + 1.56817i 0.346107 + 0.0721811i
\(473\) −0.522208 −0.0240112
\(474\) −3.96832 5.85284i −0.182271 0.268830i
\(475\) 1.26666 23.3622i 0.0581184 1.07193i
\(476\) 5.48691 13.7711i 0.251492 0.631198i
\(477\) −9.81995 + 4.54319i −0.449625 + 0.208018i
\(478\) −13.1134 + 7.89004i −0.599791 + 0.360882i
\(479\) −1.00570 + 3.62222i −0.0459518 + 0.165503i −0.982966 0.183788i \(-0.941164\pi\)
0.937014 + 0.349292i \(0.113578\pi\)
\(480\) 0.0531161 0.0116917i 0.00242441 0.000533653i
\(481\) −1.49230 0.162297i −0.0680429 0.00740011i
\(482\) 23.6325 + 14.2192i 1.07643 + 0.647666i
\(483\) −13.6538 + 12.9335i −0.621267 + 0.588496i
\(484\) −9.98091 4.61766i −0.453678 0.209894i
\(485\) 0.0819185 0.00890917i 0.00371973 0.000404545i
\(486\) 0.947653 0.319302i 0.0429864 0.0144838i
\(487\) 0.410499 + 1.03027i 0.0186015 + 0.0466862i 0.937984 0.346678i \(-0.112690\pi\)
−0.919383 + 0.393364i \(0.871311\pi\)
\(488\) 2.45228 + 2.32292i 0.111009 + 0.105154i
\(489\) −3.03576 10.9338i −0.137282 0.494444i
\(490\) 0.0152845 + 0.0288296i 0.000690483 + 0.00130239i
\(491\) 0.359122 0.272997i 0.0162070 0.0123202i −0.597039 0.802212i \(-0.703656\pi\)
0.613246 + 0.789892i \(0.289863\pi\)
\(492\) −0.00989848 0.182567i −0.000446258 0.00823074i
\(493\) −42.9147 14.4596i −1.93278 0.651230i
\(494\) −22.8957 5.03973i −1.03013 0.226748i
\(495\) 0.00131608 0.00248239i 5.91534e−5 0.000111575i
\(496\) −1.64756 10.0496i −0.0739774 0.451242i
\(497\) 6.66588 7.84768i 0.299005 0.352016i
\(498\) −9.95337 11.7180i −0.446021 0.525097i
\(499\) −0.475769 + 2.90207i −0.0212984 + 0.129914i −0.995336 0.0964740i \(-0.969244\pi\)
0.974037 + 0.226388i \(0.0726918\pi\)
\(500\) 0.432849 + 0.329043i 0.0193576 + 0.0147152i
\(501\) −5.86266 + 8.64678i −0.261924 + 0.386310i
\(502\) −0.452658 + 0.667621i −0.0202031 + 0.0297974i
\(503\) 21.5706 + 16.3976i 0.961788 + 0.731132i 0.963177 0.268867i \(-0.0866492\pi\)
−0.00138960 + 0.999999i \(0.500442\pi\)
\(504\) 0.409281 2.49650i 0.0182308 0.111203i
\(505\) −0.0354405 0.0417238i −0.00157708 0.00185669i
\(506\) −0.248626 + 0.292706i −0.0110528 + 0.0130124i
\(507\) 1.95296 + 11.9125i 0.0867339 + 0.529054i
\(508\) −7.61229 + 14.3583i −0.337741 + 0.637046i
\(509\) 20.0668 + 4.41704i 0.889446 + 0.195782i 0.636112 0.771597i \(-0.280542\pi\)
0.253334 + 0.967379i \(0.418473\pi\)
\(510\) −0.302011 0.101759i −0.0133733 0.00450598i
\(511\) −1.35436 24.9797i −0.0599133 1.10504i
\(512\) 0.796093 0.605174i 0.0351827 0.0267452i
\(513\) 2.19312 + 4.13667i 0.0968287 + 0.182638i
\(514\) 2.19442 + 7.90360i 0.0967919 + 0.348613i
\(515\) −0.00369160 0.00349687i −0.000162671 0.000154090i
\(516\) 3.74154 + 9.39057i 0.164712 + 0.413397i
\(517\) 0.104901 0.0353451i 0.00461352 0.00155448i
\(518\) 0.753974 0.0819996i 0.0331277 0.00360285i
\(519\) −13.1394 6.07895i −0.576757 0.266836i
\(520\) 0.197708 0.187279i 0.00867009 0.00821274i
\(521\) 25.9805 + 15.6319i 1.13823 + 0.684848i 0.954524 0.298134i \(-0.0963644\pi\)
0.183702 + 0.982982i \(0.441192\pi\)
\(522\) −7.68299 0.835576i −0.336275 0.0365722i
\(523\) −0.0690194 + 0.0151923i −0.00301801 + 0.000664314i −0.216479 0.976287i \(-0.569457\pi\)
0.213461 + 0.976952i \(0.431526\pi\)
\(524\) −1.91429 + 6.89464i −0.0836260 + 0.301194i
\(525\) 10.8321 6.51746i 0.472752 0.284445i
\(526\) 2.09628 0.969843i 0.0914022 0.0422872i
\(527\) −22.0875 + 55.4355i −0.962147 + 2.41481i
\(528\) 0.00279683 0.0515845i 0.000121716 0.00224493i
\(529\) −18.1070 26.7058i −0.787259 1.16112i
\(530\) 0.588474 0.0255617
\(531\) −6.62503 3.88703i −0.287502 0.168683i
\(532\) 11.8448 0.513539
\(533\) −0.513756 0.757734i −0.0222533 0.0328211i
\(534\) 0.795048 14.6638i 0.0344051 0.634565i
\(535\) 0.221304 0.555430i 0.00956779 0.0240133i
\(536\) 2.68709 1.24318i 0.116065 0.0536972i
\(537\) 14.1637 8.52199i 0.611207 0.367751i
\(538\) 2.44439 8.80389i 0.105385 0.379563i
\(539\) 0.0302697 0.00666287i 0.00130381 0.000286990i
\(540\) −0.0540689 0.00588034i −0.00232675 0.000253050i
\(541\) 3.73002 + 2.24428i 0.160366 + 0.0964892i 0.593475 0.804853i \(-0.297756\pi\)
−0.433108 + 0.901342i \(0.642583\pi\)
\(542\) −15.2543 + 14.4496i −0.655228 + 0.620665i
\(543\) −0.459516 0.212595i −0.0197197 0.00912331i
\(544\) −5.82532 + 0.633542i −0.249758 + 0.0271629i
\(545\) −0.562891 + 0.189660i −0.0241116 + 0.00812415i
\(546\) −4.68863 11.7676i −0.200655 0.503605i
\(547\) −0.624683 0.591731i −0.0267095 0.0253006i 0.674228 0.738523i \(-0.264476\pi\)
−0.700938 + 0.713222i \(0.747235\pi\)
\(548\) 0.989862 + 3.56516i 0.0422848 + 0.152296i
\(549\) −1.58220 2.98434i −0.0675265 0.127369i
\(550\) 0.205510 0.156225i 0.00876299 0.00666145i
\(551\) −1.95899 36.1314i −0.0834556 1.53925i
\(552\) 7.04492 + 2.37371i 0.299852 + 0.101032i
\(553\) 17.4710 + 3.84565i 0.742940 + 0.163534i
\(554\) −14.4001 + 27.1615i −0.611801 + 1.15398i
\(555\) −0.00263784 0.0160901i −0.000111970 0.000682988i
\(556\) −14.1627 + 16.6736i −0.600631 + 0.707117i
\(557\) 24.7298 + 29.1142i 1.04784 + 1.23361i 0.971627 + 0.236516i \(0.0760057\pi\)
0.0762088 + 0.997092i \(0.475718\pi\)
\(558\) −1.64756 + 10.0496i −0.0697466 + 0.425435i
\(559\) 40.2941 + 30.6308i 1.70426 + 1.29554i
\(560\) −0.0772146 + 0.113883i −0.00326291 + 0.00481244i
\(561\) −0.169878 + 0.250551i −0.00717226 + 0.0105783i
\(562\) 0.666527 + 0.506680i 0.0281157 + 0.0213730i
\(563\) 4.51316 27.5290i 0.190207 1.16021i −0.703210 0.710982i \(-0.748251\pi\)
0.893417 0.449228i \(-0.148301\pi\)
\(564\) −1.38719 1.63312i −0.0584112 0.0687669i
\(565\) 0.355560 0.418598i 0.0149585 0.0176105i
\(566\) −1.41634 8.63927i −0.0595331 0.363136i
\(567\) −1.18499 + 2.23513i −0.0497650 + 0.0938668i
\(568\) −3.97492 0.874946i −0.166784 0.0367119i
\(569\) −36.4768 12.2905i −1.52919 0.515243i −0.575955 0.817481i \(-0.695370\pi\)
−0.953232 + 0.302238i \(0.902266\pi\)
\(570\) −0.0137863 0.254274i −0.000577445 0.0106503i
\(571\) 19.9817 15.1897i 0.836210 0.635670i −0.0968868 0.995295i \(-0.530888\pi\)
0.933097 + 0.359625i \(0.117095\pi\)
\(572\) −0.121164 0.228539i −0.00506610 0.00955568i
\(573\) −2.05046 7.38510i −0.0856593 0.308517i
\(574\) 0.335803 + 0.318089i 0.0140161 + 0.0132768i
\(575\) 13.7500 + 34.5100i 0.573416 + 1.43917i
\(576\) −0.947653 + 0.319302i −0.0394855 + 0.0133042i
\(577\) −39.4719 + 4.29283i −1.64324 + 0.178713i −0.882488 0.470335i \(-0.844133\pi\)
−0.760748 + 0.649047i \(0.775168\pi\)
\(578\) 15.7335 + 7.27908i 0.654426 + 0.302770i
\(579\) −10.5832 + 10.0250i −0.439824 + 0.416624i
\(580\) 0.360158 + 0.216700i 0.0149547 + 0.00899797i
\(581\) 38.6673 + 4.20533i 1.60419 + 0.174466i
\(582\) −1.47966 + 0.325697i −0.0613337 + 0.0135006i
\(583\) 0.149539 0.538589i 0.00619325 0.0223061i
\(584\) −8.47309 + 5.09809i −0.350619 + 0.210960i
\(585\) −0.247158 + 0.114347i −0.0102187 + 0.00472768i
\(586\) −9.66898 + 24.2673i −0.399422 + 1.00247i
\(587\) 0.130411 2.40529i 0.00538263 0.0992768i −0.994608 0.103710i \(-0.966928\pi\)
0.999990 + 0.00443356i \(0.00141125\pi\)
\(588\) −0.336692 0.496584i −0.0138850 0.0204788i
\(589\) −47.6813 −1.96467
\(590\) 0.238250 + 0.343162i 0.00980861 + 0.0141277i
\(591\) −15.2406 −0.626915
\(592\) −0.168239 0.248134i −0.00691457 0.0101982i
\(593\) 0.702635 12.9593i 0.0288538 0.532176i −0.948000 0.318269i \(-0.896898\pi\)
0.976854 0.213907i \(-0.0686189\pi\)
\(594\) −0.0191214 + 0.0479912i −0.000784562 + 0.00196910i
\(595\) 0.731724 0.338532i 0.0299978 0.0138784i
\(596\) −3.31315 + 1.99346i −0.135712 + 0.0816552i
\(597\) −5.38132 + 19.3818i −0.220243 + 0.793243i
\(598\) 36.3533 8.00196i 1.48660 0.327224i
\(599\) 1.10478 + 0.120152i 0.0451399 + 0.00490926i 0.130661 0.991427i \(-0.458290\pi\)
−0.0855212 + 0.996336i \(0.527256\pi\)
\(600\) −4.28175 2.57624i −0.174802 0.105175i
\(601\) 13.5660 12.8504i 0.553370 0.524180i −0.359113 0.933294i \(-0.616921\pi\)
0.912483 + 0.409114i \(0.134162\pi\)
\(602\) −23.2092 10.7377i −0.945938 0.437637i
\(603\) −2.94338 + 0.320112i −0.119864 + 0.0130360i
\(604\) −10.2617 + 3.45755i −0.417541 + 0.140686i
\(605\) −0.221387 0.555639i −0.00900065 0.0225899i
\(606\) 0.730752 + 0.692205i 0.0296848 + 0.0281189i
\(607\) 8.51772 + 30.6781i 0.345724 + 1.24518i 0.908258 + 0.418411i \(0.137413\pi\)
−0.562534 + 0.826774i \(0.690174\pi\)
\(608\) −2.19312 4.13667i −0.0889429 0.167764i
\(609\) 15.5646 11.8319i 0.630711 0.479454i
\(610\) 0.00994594 + 0.183442i 0.000402699 + 0.00742735i
\(611\) −10.1674 3.42581i −0.411331 0.138593i
\(612\) 5.72267 + 1.25966i 0.231325 + 0.0509186i
\(613\) 2.14851 4.05253i 0.0867777 0.163680i −0.836325 0.548235i \(-0.815300\pi\)
0.923102 + 0.384555i \(0.125645\pi\)
\(614\) 5.10761 + 31.1551i 0.206126 + 1.25732i
\(615\) 0.00643759 0.00757891i 0.000259588 0.000305611i
\(616\) 0.0846080 + 0.0996082i 0.00340895 + 0.00401333i
\(617\) 1.76185 10.7468i 0.0709294 0.432650i −0.927359 0.374172i \(-0.877927\pi\)
0.998289 0.0584783i \(-0.0186248\pi\)
\(618\) 0.0744293 + 0.0565797i 0.00299399 + 0.00227597i
\(619\) −3.16277 + 4.66474i −0.127122 + 0.187492i −0.885924 0.463830i \(-0.846475\pi\)
0.758802 + 0.651322i \(0.225785\pi\)
\(620\) 0.310827 0.458435i 0.0124831 0.0184112i
\(621\) −5.91822 4.49891i −0.237490 0.180535i
\(622\) 3.84901 23.4779i 0.154331 0.941378i
\(623\) 24.0513 + 28.3154i 0.963595 + 1.13443i
\(624\) −3.24156 + 3.81626i −0.129766 + 0.152773i
\(625\) −4.03737 24.6269i −0.161495 0.985075i
\(626\) 9.20439 17.3613i 0.367882 0.693898i
\(627\) −0.236222 0.0519964i −0.00943381 0.00207654i
\(628\) −9.40143 3.16771i −0.375158 0.126405i
\(629\) 0.0951044 + 1.75410i 0.00379206 + 0.0699405i
\(630\) 0.109536 0.0832669i 0.00436401 0.00331743i
\(631\) 6.06763 + 11.4448i 0.241549 + 0.455609i 0.974413 0.224766i \(-0.0721618\pi\)
−0.732864 + 0.680375i \(0.761817\pi\)
\(632\) −1.89177 6.81355i −0.0752507 0.271029i
\(633\) 1.56851 + 1.48577i 0.0623425 + 0.0590539i
\(634\) −1.32380 3.32250i −0.0525750 0.131953i
\(635\) −0.837607 + 0.282223i −0.0332394 + 0.0111997i
\(636\) −10.7566 + 1.16985i −0.426525 + 0.0463874i
\(637\) −2.72646 1.26139i −0.108026 0.0499783i
\(638\) 0.289851 0.274561i 0.0114753 0.0108700i
\(639\) 3.48747 + 2.09834i 0.137962 + 0.0830092i
\(640\) 0.0540689 + 0.00588034i 0.00213726 + 0.000232441i
\(641\) 17.2423 3.79531i 0.681029 0.149906i 0.139034 0.990288i \(-0.455600\pi\)
0.541995 + 0.840382i \(0.317669\pi\)
\(642\) −2.94099 + 10.5925i −0.116072 + 0.418053i
\(643\) 23.3169 14.0293i 0.919530 0.553263i 0.0247122 0.999695i \(-0.492133\pi\)
0.894818 + 0.446432i \(0.147305\pi\)
\(644\) −17.0687 + 7.89683i −0.672602 + 0.311179i
\(645\) −0.203494 + 0.510731i −0.00801256 + 0.0201100i
\(646\) −1.48532 + 27.3952i −0.0584392 + 1.07785i
\(647\) −5.37316 7.92482i −0.211241 0.311557i 0.707277 0.706936i \(-0.249923\pi\)
−0.918518 + 0.395380i \(0.870613\pi\)
\(648\) 1.00000 0.0392837
\(649\) 0.374614 0.130852i 0.0147049 0.00513640i
\(650\) −25.0209 −0.981402
\(651\) −14.4580 21.3240i −0.566654 0.835753i
\(652\) 0.614337 11.3308i 0.0240593 0.443748i
\(653\) 16.0736 40.3416i 0.629007 1.57869i −0.175326 0.984510i \(-0.556098\pi\)
0.804333 0.594179i \(-0.202523\pi\)
\(654\) 9.91190 4.58574i 0.387586 0.179316i
\(655\) −0.333462 + 0.200637i −0.0130294 + 0.00783955i
\(656\) 0.0489135 0.176171i 0.00190975 0.00687830i
\(657\) 9.65738 2.12575i 0.376770 0.0829334i
\(658\) 5.38902 + 0.586091i 0.210086 + 0.0228482i
\(659\) 41.6489 + 25.0593i 1.62241 + 0.976171i 0.977242 + 0.212130i \(0.0680399\pi\)
0.645167 + 0.764041i \(0.276788\pi\)
\(660\) 0.00203982 0.00193222i 7.93998e−5 7.52115e-5i
\(661\) −18.4115 8.51808i −0.716126 0.331315i 0.0277668 0.999614i \(-0.491160\pi\)
−0.743892 + 0.668299i \(0.767022\pi\)
\(662\) 35.0462 3.81151i 1.36211 0.148138i
\(663\) 27.8044 9.36838i 1.07983 0.363838i
\(664\) −5.69076 14.2827i −0.220844 0.554278i
\(665\) 0.467696 + 0.443025i 0.0181365 + 0.0171798i
\(666\) 0.0802025 + 0.288863i 0.00310779 + 0.0111932i
\(667\) 26.9113 + 50.7602i 1.04201 + 1.96544i
\(668\) −8.31670 + 6.32219i −0.321783 + 0.244613i
\(669\) −0.226623 4.17982i −0.00876176 0.161601i
\(670\) 0.152598 + 0.0514164i 0.00589539 + 0.00198639i
\(671\) 0.170419 + 0.0375121i 0.00657896 + 0.00144814i
\(672\) 1.18499 2.23513i 0.0457121 0.0862222i
\(673\) −5.68459 34.6745i −0.219125 1.33660i −0.835648 0.549266i \(-0.814908\pi\)
0.616523 0.787337i \(-0.288541\pi\)
\(674\) −1.58867 + 1.87032i −0.0611931 + 0.0720421i
\(675\) 3.23502 + 3.80856i 0.124516 + 0.146591i
\(676\) −1.95296 + 11.9125i −0.0751138 + 0.458174i
\(677\) 7.12415 + 5.41563i 0.273803 + 0.208140i 0.733060 0.680164i \(-0.238091\pi\)
−0.459257 + 0.888303i \(0.651884\pi\)
\(678\) −5.66704 + 8.35826i −0.217641 + 0.320997i
\(679\) 2.15097 3.17244i 0.0825465 0.121747i
\(680\) −0.253710 0.192865i −0.00972933 0.00739604i
\(681\) 2.05963 12.5632i 0.0789254 0.481423i
\(682\) −0.340589 0.400972i −0.0130418 0.0153540i
\(683\) −23.7106 + 27.9143i −0.907260 + 1.06811i 0.0901313 + 0.995930i \(0.471271\pi\)
−0.997392 + 0.0721795i \(0.977005\pi\)
\(684\) 0.757475 + 4.62039i 0.0289628 + 0.176665i
\(685\) −0.0942606 + 0.177794i −0.00360151 + 0.00679317i
\(686\) 18.7771 + 4.13315i 0.716913 + 0.157805i
\(687\) −5.28855 1.78192i −0.201771 0.0679844i
\(688\) 0.547263 + 10.0937i 0.0208642 + 0.384818i
\(689\) −43.1301 + 32.7867i −1.64313 + 1.24907i
\(690\) 0.189388 + 0.357223i 0.00720987 + 0.0135993i
\(691\) −0.280763 1.01122i −0.0106807 0.0384685i 0.958018 0.286709i \(-0.0925614\pi\)
−0.968698 + 0.248241i \(0.920148\pi\)
\(692\) −10.5106 9.95618i −0.399553 0.378477i
\(693\) −0.0483740 0.121410i −0.00183758 0.00461197i
\(694\) −11.1179 + 3.74605i −0.422028 + 0.142198i
\(695\) −1.18285 + 0.128642i −0.0448680 + 0.00487968i
\(696\) −7.01401 3.24503i −0.265865 0.123002i
\(697\) −0.777796 + 0.736768i −0.0294611 + 0.0279071i
\(698\) 24.8210 + 14.9343i 0.939487 + 0.565271i
\(699\) −7.12579 0.774976i −0.269522 0.0293123i
\(700\) 12.3461 2.71758i 0.466639 0.102715i
\(701\) −9.18697 + 33.0885i −0.346987 + 1.24974i 0.559970 + 0.828513i \(0.310813\pi\)
−0.906957 + 0.421222i \(0.861601\pi\)
\(702\) 4.29041 2.58146i 0.161931 0.0974307i
\(703\) −1.27391 + 0.589374i −0.0480465 + 0.0222287i
\(704\) 0.0191214 0.0479912i 0.000720666 0.00180874i
\(705\) 0.00630931 0.116368i 0.000237622 0.00438269i
\(706\) −17.8326 26.3011i −0.671137 0.989853i
\(707\) −2.54640 −0.0957674
\(708\) −5.03709 5.79894i −0.189306 0.217937i
\(709\) −20.4338 −0.767407 −0.383703 0.923456i \(-0.625351\pi\)
−0.383703 + 0.923456i \(0.625351\pi\)
\(710\) −0.124226 0.183219i −0.00466210 0.00687608i
\(711\) −0.382833 + 7.06093i −0.0143573 + 0.264806i
\(712\) 5.43560 13.6423i 0.203708 0.511268i
\(713\) 68.7099 31.7886i 2.57321 1.19049i
\(714\) −12.7020 + 7.64255i −0.475361 + 0.286015i
\(715\) 0.00376372 0.0135557i 0.000140755 0.000506955i
\(716\) 16.1433 3.55342i 0.603304 0.132797i
\(717\) 15.2143 + 1.65466i 0.568189 + 0.0617942i
\(718\) −15.7106 9.45277i −0.586316 0.352774i
\(719\) 34.3544 32.5422i 1.28120 1.21362i 0.317007 0.948423i \(-0.397322\pi\)
0.964195 0.265196i \(-0.0854366\pi\)
\(720\) −0.0493609 0.0228368i −0.00183957 0.000851077i
\(721\) −0.235135 + 0.0255725i −0.00875690 + 0.000952370i
\(722\) −2.76886 + 0.932936i −0.103046 + 0.0347203i
\(723\) −10.2086 25.6215i −0.379660 0.952875i
\(724\) −0.367580 0.348190i −0.0136610 0.0129404i
\(725\) −10.3316 37.2110i −0.383705 1.38198i
\(726\) 5.15124 + 9.71627i 0.191181 + 0.360605i
\(727\) 21.7054 16.5000i 0.805007 0.611950i −0.119622 0.992820i \(-0.538168\pi\)
0.924629 + 0.380869i \(0.124375\pi\)
\(728\) −0.685790 12.6487i −0.0254171 0.468790i
\(729\) −0.947653 0.319302i −0.0350983 0.0118260i
\(730\) −0.525242 0.115615i −0.0194401 0.00427909i
\(731\) 27.7450 52.3326i 1.02619 1.93559i
\(732\) −0.546470 3.33332i −0.0201981 0.123203i
\(733\) 2.42257 2.85207i 0.0894795 0.105343i −0.715600 0.698510i \(-0.753847\pi\)
0.805080 + 0.593167i \(0.202123\pi\)
\(734\) −14.5953 17.1830i −0.538724 0.634235i
\(735\) 0.00527906 0.0322008i 0.000194721 0.00118775i
\(736\) 5.91822 + 4.49891i 0.218148 + 0.165832i
\(737\) 0.0858350 0.126597i 0.00316177 0.00466326i
\(738\) −0.102605 + 0.151330i −0.00377693 + 0.00557055i
\(739\) 20.8832 + 15.8750i 0.768200 + 0.583970i 0.914176 0.405318i \(-0.132839\pi\)
−0.145976 + 0.989288i \(0.546632\pi\)
\(740\) 0.00263784 0.0160901i 9.69691e−5 0.000591485i
\(741\) 15.1772 + 17.8680i 0.557549 + 0.656397i
\(742\) 17.7207 20.8624i 0.650548 0.765884i
\(743\) −5.07859 30.9780i −0.186315 1.13647i −0.899962 0.435968i \(-0.856406\pi\)
0.713647 0.700505i \(-0.247042\pi\)
\(744\) −4.77018 + 8.99751i −0.174883 + 0.329865i
\(745\) −0.205381 0.0452077i −0.00752456 0.00165628i
\(746\) −14.9860 5.04936i −0.548676 0.184870i
\(747\) 0.832369 + 15.3521i 0.0304548 + 0.561706i
\(748\) −0.240987 + 0.183194i −0.00881136 + 0.00669822i
\(749\) −13.0269 24.5713i −0.475992 0.897815i
\(750\) −0.145459 0.523898i −0.00531143 0.0191300i
\(751\) −18.4325 17.4602i −0.672612 0.637132i 0.273158 0.961969i \(-0.411932\pi\)
−0.945770 + 0.324837i \(0.894691\pi\)
\(752\) −0.793114 1.99057i −0.0289219 0.0725885i
\(753\) 0.764385 0.257551i 0.0278557 0.00938569i
\(754\) −38.4699 + 4.18385i −1.40099 + 0.152367i
\(755\) −0.534504 0.247288i −0.0194526 0.00899973i
\(756\) −1.83664 + 1.73976i −0.0667981 + 0.0632745i
\(757\) 26.7323 + 16.0843i 0.971601 + 0.584593i 0.910487 0.413538i \(-0.135707\pi\)