Properties

Label 441.2.y.a.25.20
Level $441$
Weight $2$
Character 441.25
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.y (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 25.20
Character \(\chi\) \(=\) 441.25
Dual form 441.2.y.a.247.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.222631 + 0.975409i) q^{2} +(-0.211834 - 1.71905i) q^{3} +(0.900079 + 0.433455i) q^{4} +(0.692294 + 1.76394i) q^{5} +(1.72394 + 0.176088i) q^{6} +(-0.942297 + 2.47226i) q^{7} +(-1.87078 + 2.34588i) q^{8} +(-2.91025 + 0.728307i) q^{9} +O(q^{10})\) \(q+(-0.222631 + 0.975409i) q^{2} +(-0.211834 - 1.71905i) q^{3} +(0.900079 + 0.433455i) q^{4} +(0.692294 + 1.76394i) q^{5} +(1.72394 + 0.176088i) q^{6} +(-0.942297 + 2.47226i) q^{7} +(-1.87078 + 2.34588i) q^{8} +(-2.91025 + 0.728307i) q^{9} +(-1.87469 + 0.282563i) q^{10} +(-5.99512 + 1.84925i) q^{11} +(0.554463 - 1.63910i) q^{12} +(-0.194644 + 0.0600396i) q^{13} +(-2.20168 - 1.46953i) q^{14} +(2.88564 - 1.56375i) q^{15} +(-0.625952 - 0.784919i) q^{16} +(0.0911454 - 1.21625i) q^{17} +(-0.0624853 - 3.00083i) q^{18} +(1.58184 + 2.73983i) q^{19} +(-0.141468 + 1.88776i) q^{20} +(4.44955 + 1.09614i) q^{21} +(-0.469077 - 6.25940i) q^{22} +(1.64394 - 1.12082i) q^{23} +(4.42897 + 2.71902i) q^{24} +(1.03306 - 0.958539i) q^{25} +(-0.0152295 - 0.203224i) q^{26} +(1.86849 + 4.84858i) q^{27} +(-1.91976 + 1.81679i) q^{28} +(0.226244 - 3.01901i) q^{29} +(0.882863 + 3.16282i) q^{30} -1.41429 q^{31} +(-4.50173 + 2.16792i) q^{32} +(4.44892 + 9.91417i) q^{33} +(1.16605 + 0.359679i) q^{34} +(-5.01326 + 0.0493806i) q^{35} +(-2.93515 - 0.605931i) q^{36} +(1.94111 + 1.32343i) q^{37} +(-3.02462 + 0.932972i) q^{38} +(0.144443 + 0.321883i) q^{39} +(-5.43311 - 1.67589i) q^{40} +(6.93989 + 1.04602i) q^{41} +(-2.05979 + 4.09609i) q^{42} +(9.05595 - 1.36496i) q^{43} +(-6.19765 - 0.934146i) q^{44} +(-3.29944 - 4.62930i) q^{45} +(0.727267 + 1.85305i) q^{46} +(-2.36394 + 10.3571i) q^{47} +(-1.21671 + 1.24231i) q^{48} +(-5.22415 - 4.65921i) q^{49} +(0.704977 + 1.22106i) q^{50} +(-2.11010 + 0.100960i) q^{51} +(-0.201219 - 0.0303289i) q^{52} +(-3.52604 + 2.40401i) q^{53} +(-5.14533 + 0.743094i) q^{54} +(-7.41234 - 9.29479i) q^{55} +(-4.03680 - 6.83556i) q^{56} +(4.37481 - 3.29965i) q^{57} +(2.89440 + 0.892805i) q^{58} +(4.15332 + 5.20810i) q^{59} +(3.27512 - 0.156702i) q^{60} +(7.28131 - 3.50649i) q^{61} +(0.314865 - 1.37951i) q^{62} +(0.941756 - 7.88119i) q^{63} +(-1.55918 - 6.83123i) q^{64} +(-0.240657 - 0.301774i) q^{65} +(-10.6608 + 2.13232i) q^{66} +10.6642 q^{67} +(0.609228 - 1.05521i) q^{68} +(-2.27499 - 2.58859i) q^{69} +(1.06794 - 4.90097i) q^{70} +(10.2026 + 4.91332i) q^{71} +(3.73591 - 8.18960i) q^{72} +(6.87231 + 2.11983i) q^{73} +(-1.72303 + 1.59874i) q^{74} +(-1.86661 - 1.57283i) q^{75} +(0.236189 + 3.15172i) q^{76} +(1.07735 - 16.5640i) q^{77} +(-0.346125 + 0.0692300i) q^{78} -10.3262 q^{79} +(0.951204 - 1.64753i) q^{80} +(7.93914 - 4.23911i) q^{81} +(-2.56533 + 6.53636i) q^{82} +(-12.5898 - 3.88342i) q^{83} +(3.52982 + 2.91530i) q^{84} +(2.20849 - 0.681228i) q^{85} +(-0.684734 + 9.13714i) q^{86} +(-5.23775 + 0.250607i) q^{87} +(6.87741 - 17.5234i) q^{88} +(5.57065 - 5.16881i) q^{89} +(5.25002 - 2.18768i) q^{90} +(0.0349784 - 0.537785i) q^{91} +(1.96551 - 0.296252i) q^{92} +(0.299596 + 2.43124i) q^{93} +(-9.57612 - 4.61162i) q^{94} +(-3.73778 + 4.68703i) q^{95} +(4.68038 + 7.27945i) q^{96} +(-5.89574 + 10.2117i) q^{97} +(5.70769 - 4.05840i) q^{98} +(16.1005 - 9.74807i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9} - 22 q^{10} - 8 q^{11} - 64 q^{12} - 4 q^{13} - 26 q^{14} - 4 q^{15} - 97 q^{16} - 37 q^{17} - q^{18} - 14 q^{19} - 11 q^{20} - 33 q^{21} - q^{22} + 31 q^{23} - 20 q^{24} + 38 q^{25} - 44 q^{26} - 49 q^{27} - 22 q^{28} + 73 q^{29} - 12 q^{30} - 20 q^{31} - q^{32} - 43 q^{33} - 7 q^{34} - 32 q^{35} + 20 q^{36} - 39 q^{37} - 40 q^{38} + q^{39} - q^{40} - 17 q^{41} + 82 q^{42} - q^{43} - 31 q^{44} - 177 q^{45} + 56 q^{46} + 5 q^{47} - 23 q^{48} - q^{49} - 21 q^{50} - 18 q^{51} - 48 q^{52} + 50 q^{53} - 15 q^{54} + 20 q^{55} + 127 q^{56} + 33 q^{57} - 82 q^{58} + 53 q^{59} + 43 q^{60} + 42 q^{61} - 30 q^{62} + 57 q^{63} - 88 q^{64} - 11 q^{65} - 90 q^{66} - 26 q^{67} + 145 q^{68} + 64 q^{69} - 46 q^{70} - 19 q^{71} - 46 q^{72} - 40 q^{73} + 18 q^{74} - 114 q^{75} + 43 q^{76} + 7 q^{77} - 129 q^{78} - 26 q^{79} + 163 q^{80} + 85 q^{81} - 28 q^{82} - 221 q^{83} - 113 q^{84} - 10 q^{85} - 18 q^{86} + 37 q^{87} - 4 q^{88} - 104 q^{89} - 60 q^{90} - 49 q^{91} + 119 q^{92} - 149 q^{93} - 13 q^{94} + 37 q^{95} + 186 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{8}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.222631 + 0.975409i −0.157424 + 0.689718i 0.833185 + 0.552994i \(0.186515\pi\)
−0.990609 + 0.136725i \(0.956342\pi\)
\(3\) −0.211834 1.71905i −0.122303 0.992493i
\(4\) 0.900079 + 0.433455i 0.450040 + 0.216728i
\(5\) 0.692294 + 1.76394i 0.309603 + 0.788856i 0.997982 + 0.0635044i \(0.0202277\pi\)
−0.688378 + 0.725352i \(0.741677\pi\)
\(6\) 1.72394 + 0.176088i 0.703794 + 0.0718876i
\(7\) −0.942297 + 2.47226i −0.356155 + 0.934427i
\(8\) −1.87078 + 2.34588i −0.661419 + 0.829394i
\(9\) −2.91025 + 0.728307i −0.970084 + 0.242769i
\(10\) −1.87469 + 0.282563i −0.592828 + 0.0893544i
\(11\) −5.99512 + 1.84925i −1.80760 + 0.557570i −0.999504 0.0314855i \(-0.989976\pi\)
−0.808093 + 0.589055i \(0.799500\pi\)
\(12\) 0.554463 1.63910i 0.160060 0.473167i
\(13\) −0.194644 + 0.0600396i −0.0539844 + 0.0166520i −0.321630 0.946866i \(-0.604231\pi\)
0.267645 + 0.963517i \(0.413754\pi\)
\(14\) −2.20168 1.46953i −0.588424 0.392747i
\(15\) 2.88564 1.56375i 0.745069 0.403758i
\(16\) −0.625952 0.784919i −0.156488 0.196230i
\(17\) 0.0911454 1.21625i 0.0221060 0.294984i −0.975183 0.221400i \(-0.928937\pi\)
0.997289 0.0735839i \(-0.0234437\pi\)
\(18\) −0.0624853 3.00083i −0.0147279 0.707302i
\(19\) 1.58184 + 2.73983i 0.362899 + 0.628560i 0.988437 0.151634i \(-0.0484536\pi\)
−0.625538 + 0.780194i \(0.715120\pi\)
\(20\) −0.141468 + 1.88776i −0.0316332 + 0.422116i
\(21\) 4.44955 + 1.09614i 0.970971 + 0.239198i
\(22\) −0.469077 6.25940i −0.100008 1.33451i
\(23\) 1.64394 1.12082i 0.342786 0.233708i −0.379674 0.925120i \(-0.623964\pi\)
0.722460 + 0.691413i \(0.243011\pi\)
\(24\) 4.42897 + 2.71902i 0.904061 + 0.555017i
\(25\) 1.03306 0.958539i 0.206612 0.191708i
\(26\) −0.0152295 0.203224i −0.00298675 0.0398555i
\(27\) 1.86849 + 4.84858i 0.359590 + 0.933110i
\(28\) −1.91976 + 1.81679i −0.362800 + 0.343341i
\(29\) 0.226244 3.01901i 0.0420124 0.560617i −0.935991 0.352025i \(-0.885493\pi\)
0.978003 0.208591i \(-0.0668878\pi\)
\(30\) 0.882863 + 3.16282i 0.161188 + 0.577449i
\(31\) −1.41429 −0.254015 −0.127007 0.991902i \(-0.540537\pi\)
−0.127007 + 0.991902i \(0.540537\pi\)
\(32\) −4.50173 + 2.16792i −0.795801 + 0.383237i
\(33\) 4.44892 + 9.91417i 0.774458 + 1.72583i
\(34\) 1.16605 + 0.359679i 0.199976 + 0.0616844i
\(35\) −5.01326 + 0.0493806i −0.847395 + 0.00834685i
\(36\) −2.93515 0.605931i −0.489191 0.100988i
\(37\) 1.94111 + 1.32343i 0.319116 + 0.217570i 0.712275 0.701901i \(-0.247665\pi\)
−0.393158 + 0.919471i \(0.628618\pi\)
\(38\) −3.02462 + 0.932972i −0.490658 + 0.151348i
\(39\) 0.144443 + 0.321883i 0.0231294 + 0.0515426i
\(40\) −5.43311 1.67589i −0.859050 0.264982i
\(41\) 6.93989 + 1.04602i 1.08383 + 0.163361i 0.666582 0.745432i \(-0.267757\pi\)
0.417247 + 0.908793i \(0.362995\pi\)
\(42\) −2.05979 + 4.09609i −0.317833 + 0.632041i
\(43\) 9.05595 1.36496i 1.38102 0.208155i 0.583826 0.811879i \(-0.301555\pi\)
0.797193 + 0.603724i \(0.206317\pi\)
\(44\) −6.19765 0.934146i −0.934331 0.140828i
\(45\) −3.29944 4.62930i −0.491851 0.690095i
\(46\) 0.727267 + 1.85305i 0.107230 + 0.273217i
\(47\) −2.36394 + 10.3571i −0.344816 + 1.51074i 0.443954 + 0.896050i \(0.353575\pi\)
−0.788770 + 0.614688i \(0.789282\pi\)
\(48\) −1.21671 + 1.24231i −0.175618 + 0.179313i
\(49\) −5.22415 4.65921i −0.746308 0.665601i
\(50\) 0.704977 + 1.22106i 0.0996988 + 0.172683i
\(51\) −2.11010 + 0.100960i −0.295473 + 0.0141373i
\(52\) −0.201219 0.0303289i −0.0279041 0.00420586i
\(53\) −3.52604 + 2.40401i −0.484338 + 0.330216i −0.780749 0.624844i \(-0.785162\pi\)
0.296411 + 0.955060i \(0.404210\pi\)
\(54\) −5.14533 + 0.743094i −0.700191 + 0.101122i
\(55\) −7.41234 9.29479i −0.999480 1.25331i
\(56\) −4.03680 6.83556i −0.539440 0.913441i
\(57\) 4.37481 3.29965i 0.579458 0.437049i
\(58\) 2.89440 + 0.892805i 0.380054 + 0.117231i
\(59\) 4.15332 + 5.20810i 0.540717 + 0.678037i 0.974863 0.222805i \(-0.0715213\pi\)
−0.434146 + 0.900842i \(0.642950\pi\)
\(60\) 3.27512 0.156702i 0.422816 0.0202301i
\(61\) 7.28131 3.50649i 0.932276 0.448961i 0.0948380 0.995493i \(-0.469767\pi\)
0.837438 + 0.546532i \(0.184052\pi\)
\(62\) 0.314865 1.37951i 0.0399879 0.175199i
\(63\) 0.941756 7.88119i 0.118650 0.992936i
\(64\) −1.55918 6.83123i −0.194898 0.853903i
\(65\) −0.240657 0.301774i −0.0298498 0.0374304i
\(66\) −10.6608 + 2.13232i −1.31226 + 0.262470i
\(67\) 10.6642 1.30284 0.651418 0.758719i \(-0.274175\pi\)
0.651418 + 0.758719i \(0.274175\pi\)
\(68\) 0.609228 1.05521i 0.0738798 0.127964i
\(69\) −2.27499 2.58859i −0.273877 0.311630i
\(70\) 1.06794 4.90097i 0.127643 0.585778i
\(71\) 10.2026 + 4.91332i 1.21083 + 0.583104i 0.926743 0.375696i \(-0.122596\pi\)
0.284084 + 0.958799i \(0.408311\pi\)
\(72\) 3.73591 8.18960i 0.440281 0.965154i
\(73\) 6.87231 + 2.11983i 0.804343 + 0.248107i 0.669550 0.742767i \(-0.266487\pi\)
0.134793 + 0.990874i \(0.456963\pi\)
\(74\) −1.72303 + 1.59874i −0.200298 + 0.185850i
\(75\) −1.86661 1.57283i −0.215538 0.181614i
\(76\) 0.236189 + 3.15172i 0.0270927 + 0.361527i
\(77\) 1.07735 16.5640i 0.122776 1.88765i
\(78\) −0.346125 + 0.0692300i −0.0391910 + 0.00783876i
\(79\) −10.3262 −1.16179 −0.580895 0.813978i \(-0.697297\pi\)
−0.580895 + 0.813978i \(0.697297\pi\)
\(80\) 0.951204 1.64753i 0.106348 0.184200i
\(81\) 7.93914 4.23911i 0.882127 0.471013i
\(82\) −2.56533 + 6.53636i −0.283293 + 0.721820i
\(83\) −12.5898 3.88342i −1.38191 0.426261i −0.487345 0.873209i \(-0.662035\pi\)
−0.894560 + 0.446948i \(0.852511\pi\)
\(84\) 3.52982 + 2.91530i 0.385134 + 0.318085i
\(85\) 2.20849 0.681228i 0.239544 0.0738896i
\(86\) −0.684734 + 9.13714i −0.0738367 + 0.985283i
\(87\) −5.23775 + 0.250607i −0.561546 + 0.0268679i
\(88\) 6.87741 17.5234i 0.733135 1.86800i
\(89\) 5.57065 5.16881i 0.590488 0.547893i −0.327322 0.944913i \(-0.606146\pi\)
0.917810 + 0.397020i \(0.129956\pi\)
\(90\) 5.25002 2.18768i 0.553400 0.230601i
\(91\) 0.0349784 0.537785i 0.00366673 0.0563752i
\(92\) 1.96551 0.296252i 0.204918 0.0308864i
\(93\) 0.299596 + 2.43124i 0.0310666 + 0.252108i
\(94\) −9.57612 4.61162i −0.987702 0.475652i
\(95\) −3.73778 + 4.68703i −0.383489 + 0.480879i
\(96\) 4.68038 + 7.27945i 0.477689 + 0.742956i
\(97\) −5.89574 + 10.2117i −0.598621 + 1.03684i 0.394403 + 0.918937i \(0.370951\pi\)
−0.993025 + 0.117905i \(0.962382\pi\)
\(98\) 5.70769 4.05840i 0.576564 0.409961i
\(99\) 16.1005 9.74807i 1.61816 0.979718i
\(100\) 1.34532 0.414976i 0.134532 0.0414976i
\(101\) −8.99998 1.35653i −0.895531 0.134980i −0.314879 0.949132i \(-0.601964\pi\)
−0.580652 + 0.814152i \(0.697202\pi\)
\(102\) 0.371296 2.08069i 0.0367638 0.206019i
\(103\) 4.64219 + 11.8281i 0.457408 + 1.16546i 0.954620 + 0.297828i \(0.0962622\pi\)
−0.497211 + 0.867630i \(0.665643\pi\)
\(104\) 0.223289 0.568931i 0.0218953 0.0557883i
\(105\) 1.14687 + 8.60757i 0.111923 + 0.840013i
\(106\) −1.55989 3.97453i −0.151510 0.386041i
\(107\) −9.65268 + 8.95637i −0.933159 + 0.865845i −0.991187 0.132470i \(-0.957709\pi\)
0.0580276 + 0.998315i \(0.481519\pi\)
\(108\) −0.419859 + 5.17401i −0.0404010 + 0.497870i
\(109\) −8.50962 7.89577i −0.815073 0.756278i 0.157836 0.987465i \(-0.449548\pi\)
−0.972909 + 0.231188i \(0.925739\pi\)
\(110\) 10.7164 5.16076i 1.02177 0.492059i
\(111\) 1.86384 3.61721i 0.176908 0.343330i
\(112\) 2.53036 0.807890i 0.239096 0.0763385i
\(113\) 9.09193 8.43608i 0.855297 0.793599i −0.124787 0.992184i \(-0.539825\pi\)
0.980084 + 0.198584i \(0.0636343\pi\)
\(114\) 2.24454 + 5.00183i 0.210221 + 0.468464i
\(115\) 3.11515 + 2.12387i 0.290489 + 0.198052i
\(116\) 1.51224 2.61928i 0.140408 0.243194i
\(117\) 0.522735 0.316491i 0.0483268 0.0292596i
\(118\) −6.00469 + 2.89171i −0.552776 + 0.266203i
\(119\) 2.92100 + 1.37140i 0.267768 + 0.125716i
\(120\) −1.73002 + 9.69479i −0.157929 + 0.885009i
\(121\) 23.4331 15.9764i 2.13028 1.45240i
\(122\) 1.79922 + 7.88291i 0.162894 + 0.713685i
\(123\) 0.328052 12.1516i 0.0295794 1.09567i
\(124\) −1.27298 0.613033i −0.114317 0.0550520i
\(125\) 10.9423 + 5.26955i 0.978711 + 0.471323i
\(126\) 7.47772 + 2.67319i 0.666168 + 0.238147i
\(127\) −16.1831 + 7.79337i −1.43602 + 0.691550i −0.980106 0.198475i \(-0.936401\pi\)
−0.455912 + 0.890025i \(0.650687\pi\)
\(128\) −2.98272 −0.263638
\(129\) −4.26480 15.2785i −0.375495 1.34519i
\(130\) 0.347930 0.167554i 0.0305155 0.0146955i
\(131\) 15.2756 2.30242i 1.33463 0.201164i 0.557331 0.830291i \(-0.311826\pi\)
0.777302 + 0.629127i \(0.216587\pi\)
\(132\) −0.292966 + 10.8519i −0.0254994 + 0.944540i
\(133\) −8.26413 + 1.32899i −0.716591 + 0.115238i
\(134\) −2.37417 + 10.4019i −0.205097 + 0.898590i
\(135\) −7.25905 + 6.65253i −0.624760 + 0.572559i
\(136\) 2.68266 + 2.48915i 0.230037 + 0.213443i
\(137\) 3.82365 9.74250i 0.326677 0.832358i −0.669321 0.742974i \(-0.733415\pi\)
0.995997 0.0893846i \(-0.0284900\pi\)
\(138\) 3.03142 1.64275i 0.258051 0.139840i
\(139\) −4.19958 0.632985i −0.356204 0.0536891i −0.0314972 0.999504i \(-0.510028\pi\)
−0.324707 + 0.945815i \(0.605266\pi\)
\(140\) −4.53373 2.12858i −0.383170 0.179898i
\(141\) 18.3051 + 1.86974i 1.54157 + 0.157460i
\(142\) −7.06391 + 8.85786i −0.592790 + 0.743335i
\(143\) 1.05588 0.719889i 0.0882974 0.0602001i
\(144\) 2.39334 + 1.82843i 0.199445 + 0.152369i
\(145\) 5.48197 1.69096i 0.455253 0.140427i
\(146\) −3.59769 + 6.23137i −0.297747 + 0.515712i
\(147\) −6.90275 + 9.96755i −0.569329 + 0.822110i
\(148\) 1.17351 + 2.03257i 0.0964616 + 0.167076i
\(149\) −8.35267 7.75014i −0.684277 0.634916i 0.259405 0.965769i \(-0.416473\pi\)
−0.943683 + 0.330852i \(0.892664\pi\)
\(150\) 1.94972 1.47055i 0.159194 0.120070i
\(151\) −1.63293 21.7900i −0.132886 1.77324i −0.522860 0.852419i \(-0.675135\pi\)
0.389973 0.920826i \(-0.372484\pi\)
\(152\) −9.38658 1.41480i −0.761352 0.114755i
\(153\) 0.620547 + 3.60598i 0.0501683 + 0.291526i
\(154\) 15.9169 + 4.73853i 1.28262 + 0.381841i
\(155\) −0.979107 2.49472i −0.0786438 0.200381i
\(156\) −0.00951172 + 0.352330i −0.000761547 + 0.0282090i
\(157\) 3.44748 + 4.32301i 0.275139 + 0.345014i 0.900132 0.435617i \(-0.143470\pi\)
−0.624993 + 0.780630i \(0.714898\pi\)
\(158\) 2.29893 10.0723i 0.182893 0.801308i
\(159\) 4.87954 + 5.55217i 0.386973 + 0.440316i
\(160\) −6.94059 6.43993i −0.548702 0.509121i
\(161\) 1.22188 + 5.12041i 0.0962978 + 0.403545i
\(162\) 2.36737 + 8.68767i 0.185998 + 0.682567i
\(163\) −2.74385 + 6.99120i −0.214915 + 0.547593i −0.997155 0.0753838i \(-0.975982\pi\)
0.782240 + 0.622977i \(0.214077\pi\)
\(164\) 5.79305 + 3.94963i 0.452361 + 0.308415i
\(165\) −14.4080 + 14.7111i −1.12166 + 1.14526i
\(166\) 6.59079 11.4156i 0.511545 0.886022i
\(167\) 3.27565 + 2.23330i 0.253477 + 0.172818i 0.683392 0.730052i \(-0.260504\pi\)
−0.429915 + 0.902869i \(0.641456\pi\)
\(168\) −10.8955 + 8.38746i −0.840608 + 0.647107i
\(169\) −10.7068 + 7.29979i −0.823602 + 0.561522i
\(170\) 0.172799 + 2.30584i 0.0132531 + 0.176850i
\(171\) −6.59899 6.82153i −0.504637 0.521655i
\(172\) 8.74272 + 2.69677i 0.666626 + 0.205627i
\(173\) 6.22262 + 2.99666i 0.473097 + 0.227832i 0.655211 0.755446i \(-0.272580\pi\)
−0.182114 + 0.983277i \(0.558294\pi\)
\(174\) 0.921641 5.16475i 0.0698694 0.391538i
\(175\) 1.39631 + 3.45722i 0.105551 + 0.261341i
\(176\) 5.20417 + 3.54814i 0.392279 + 0.267451i
\(177\) 8.07316 8.24302i 0.606816 0.619583i
\(178\) 3.80151 + 6.58440i 0.284935 + 0.493522i
\(179\) 0.840977 11.2221i 0.0628576 0.838776i −0.873297 0.487188i \(-0.838023\pi\)
0.936155 0.351588i \(-0.114358\pi\)
\(180\) −0.963161 5.59689i −0.0717898 0.417168i
\(181\) −1.66304 7.28627i −0.123613 0.541584i −0.998373 0.0570270i \(-0.981838\pi\)
0.874760 0.484557i \(-0.161019\pi\)
\(182\) 0.516773 + 0.153846i 0.0383058 + 0.0114038i
\(183\) −7.57026 11.7741i −0.559610 0.870368i
\(184\) −0.446138 + 5.95330i −0.0328898 + 0.438883i
\(185\) −0.990621 + 4.34019i −0.0728319 + 0.319097i
\(186\) −2.43815 0.249040i −0.178774 0.0182605i
\(187\) 1.70272 + 7.46012i 0.124515 + 0.545538i
\(188\) −6.61707 + 8.29755i −0.482600 + 0.605161i
\(189\) −13.7476 + 0.0505815i −0.999993 + 0.00367926i
\(190\) −3.73963 4.68935i −0.271301 0.340201i
\(191\) 2.74222 3.43863i 0.198420 0.248811i −0.672660 0.739951i \(-0.734848\pi\)
0.871080 + 0.491141i \(0.163420\pi\)
\(192\) −11.4129 + 4.12740i −0.823657 + 0.297869i
\(193\) −2.83604 + 3.55628i −0.204142 + 0.255987i −0.873355 0.487085i \(-0.838060\pi\)
0.669212 + 0.743071i \(0.266632\pi\)
\(194\) −8.64803 8.02420i −0.620892 0.576104i
\(195\) −0.467784 + 0.477626i −0.0334987 + 0.0342035i
\(196\) −2.68259 6.45809i −0.191614 0.461292i
\(197\) −18.3457 −1.30708 −0.653538 0.756893i \(-0.726716\pi\)
−0.653538 + 0.756893i \(0.726716\pi\)
\(198\) 5.92389 + 17.8748i 0.420993 + 1.27031i
\(199\) 1.63218 + 4.15872i 0.115702 + 0.294804i 0.976980 0.213330i \(-0.0684309\pi\)
−0.861278 + 0.508133i \(0.830336\pi\)
\(200\) 0.315994 + 4.21664i 0.0223441 + 0.298162i
\(201\) −2.25904 18.3322i −0.159340 1.29305i
\(202\) 3.32684 8.47665i 0.234076 0.596415i
\(203\) 7.25060 + 3.40414i 0.508892 + 0.238924i
\(204\) −1.94302 0.823762i −0.136039 0.0576749i
\(205\) 2.95933 + 12.9657i 0.206689 + 0.905562i
\(206\) −12.5707 + 1.89473i −0.875844 + 0.132012i
\(207\) −3.96799 + 4.45917i −0.275794 + 0.309934i
\(208\) 0.168964 + 0.115197i 0.0117155 + 0.00798751i
\(209\) −14.5500 13.5004i −1.00644 0.933841i
\(210\) −8.65123 0.797645i −0.596992 0.0550427i
\(211\) −8.92476 + 8.28097i −0.614406 + 0.570085i −0.924767 0.380533i \(-0.875740\pi\)
0.310361 + 0.950619i \(0.399550\pi\)
\(212\) −4.21574 + 0.635421i −0.289538 + 0.0436409i
\(213\) 6.28497 18.5796i 0.430639 1.27305i
\(214\) −6.58715 11.4093i −0.450288 0.779922i
\(215\) 8.67709 + 15.0292i 0.591772 + 1.02498i
\(216\) −14.8697 4.68737i −1.01176 0.318935i
\(217\) 1.33268 3.49650i 0.0904685 0.237358i
\(218\) 9.59611 6.54252i 0.649931 0.443115i
\(219\) 2.18829 12.2629i 0.147871 0.828649i
\(220\) −2.64282 11.5790i −0.178179 0.780654i
\(221\) 0.0552823 + 0.242208i 0.00371869 + 0.0162926i
\(222\) 3.11331 + 2.62331i 0.208952 + 0.176065i
\(223\) −8.82022 + 6.01352i −0.590645 + 0.402695i −0.821430 0.570310i \(-0.806823\pi\)
0.230784 + 0.973005i \(0.425871\pi\)
\(224\) −1.11770 13.1723i −0.0746793 0.880109i
\(225\) −2.30835 + 3.54197i −0.153890 + 0.236132i
\(226\) 6.20448 + 10.7465i 0.412716 + 0.714845i
\(227\) 0.317154 + 0.549327i 0.0210503 + 0.0364601i 0.876359 0.481659i \(-0.159966\pi\)
−0.855308 + 0.518119i \(0.826632\pi\)
\(228\) 5.36792 1.07366i 0.355499 0.0711050i
\(229\) −23.2420 + 3.50317i −1.53588 + 0.231496i −0.861831 0.507195i \(-0.830682\pi\)
−0.674044 + 0.738691i \(0.735444\pi\)
\(230\) −2.76517 + 2.56571i −0.182330 + 0.169178i
\(231\) −28.7026 + 1.65681i −1.88849 + 0.109010i
\(232\) 6.65899 + 6.17864i 0.437184 + 0.405647i
\(233\) 20.3312 + 13.8616i 1.33194 + 0.908102i 0.999388 0.0349819i \(-0.0111374\pi\)
0.332554 + 0.943084i \(0.392090\pi\)
\(234\) 0.192331 + 0.580341i 0.0125731 + 0.0379381i
\(235\) −19.9058 + 3.00032i −1.29851 + 0.195719i
\(236\) 1.48084 + 6.48799i 0.0963945 + 0.422332i
\(237\) 2.18745 + 17.7513i 0.142090 + 1.15307i
\(238\) −1.98798 + 2.54386i −0.128862 + 0.164894i
\(239\) 1.46194 3.72496i 0.0945649 0.240947i −0.875763 0.482742i \(-0.839641\pi\)
0.970327 + 0.241795i \(0.0777361\pi\)
\(240\) −3.03369 1.28616i −0.195824 0.0830213i
\(241\) 0.454836 + 6.06936i 0.0292985 + 0.390962i 0.992505 + 0.122201i \(0.0389952\pi\)
−0.963207 + 0.268761i \(0.913386\pi\)
\(242\) 10.3666 + 26.4137i 0.666392 + 1.69794i
\(243\) −8.96902 12.7498i −0.575363 0.817898i
\(244\) 8.07366 0.516863
\(245\) 4.60189 12.4406i 0.294004 0.794802i
\(246\) 11.7797 + 3.02530i 0.751048 + 0.192886i
\(247\) −0.472393 0.438317i −0.0300577 0.0278894i
\(248\) 2.64583 3.31776i 0.168010 0.210678i
\(249\) −4.00885 + 22.4650i −0.254051 + 1.42366i
\(250\) −7.57606 + 9.50008i −0.479152 + 0.600838i
\(251\) 1.10207 + 1.38195i 0.0695620 + 0.0872280i 0.815395 0.578905i \(-0.196520\pi\)
−0.745833 + 0.666133i \(0.767948\pi\)
\(252\) 4.26380 6.68548i 0.268594 0.421146i
\(253\) −7.78296 + 9.75953i −0.489311 + 0.613576i
\(254\) −3.99887 17.5202i −0.250911 1.09931i
\(255\) −1.63890 3.65219i −0.102632 0.228709i
\(256\) 3.78241 16.5718i 0.236401 1.03574i
\(257\) 1.56909 20.9381i 0.0978771 1.30608i −0.704689 0.709516i \(-0.748913\pi\)
0.802566 0.596563i \(-0.203468\pi\)
\(258\) 15.8522 0.758469i 0.986916 0.0472202i
\(259\) −5.10096 + 3.55187i −0.316958 + 0.220702i
\(260\) −0.0858045 0.375934i −0.00532137 0.0233144i
\(261\) 1.54034 + 8.95086i 0.0953447 + 0.554045i
\(262\) −1.15501 + 15.4125i −0.0713567 + 0.952189i
\(263\) −5.44862 9.43728i −0.335976 0.581928i 0.647696 0.761899i \(-0.275733\pi\)
−0.983672 + 0.179971i \(0.942400\pi\)
\(264\) −31.5804 8.11056i −1.94364 0.499170i
\(265\) −6.68157 4.55542i −0.410446 0.279837i
\(266\) 0.543539 8.35679i 0.0333265 0.512387i
\(267\) −10.0655 8.48129i −0.615998 0.519046i
\(268\) 9.59860 + 4.62244i 0.586328 + 0.282360i
\(269\) 19.2961 + 5.95206i 1.17650 + 0.362903i 0.820536 0.571595i \(-0.193675\pi\)
0.355968 + 0.934498i \(0.384151\pi\)
\(270\) −4.87285 8.56160i −0.296553 0.521043i
\(271\) −0.125772 1.67831i −0.00764011 0.101950i 0.992080 0.125608i \(-0.0400880\pi\)
−0.999720 + 0.0236573i \(0.992469\pi\)
\(272\) −1.01171 + 0.689772i −0.0613439 + 0.0418236i
\(273\) −0.931888 + 0.0537917i −0.0564004 + 0.00325562i
\(274\) 8.65166 + 5.89860i 0.522666 + 0.356348i
\(275\) −4.42074 + 7.65694i −0.266580 + 0.461731i
\(276\) −0.925634 3.31604i −0.0557166 0.199602i
\(277\) 15.6601 + 10.6769i 0.940922 + 0.641510i 0.933544 0.358463i \(-0.116699\pi\)
0.00737828 + 0.999973i \(0.497651\pi\)
\(278\) 1.55238 3.95539i 0.0931053 0.237229i
\(279\) 4.11595 1.03004i 0.246416 0.0616669i
\(280\) 9.26285 11.8529i 0.553561 0.708345i
\(281\) −8.13278 7.54612i −0.485161 0.450164i 0.399271 0.916833i \(-0.369263\pi\)
−0.884432 + 0.466669i \(0.845454\pi\)
\(282\) −5.89904 + 17.4387i −0.351283 + 1.03846i
\(283\) −2.44621 + 10.7175i −0.145412 + 0.637092i 0.848713 + 0.528854i \(0.177378\pi\)
−0.994125 + 0.108238i \(0.965479\pi\)
\(284\) 7.05345 + 8.84475i 0.418545 + 0.524839i
\(285\) 8.84902 + 5.43256i 0.524171 + 0.321797i
\(286\) 0.467114 + 1.19019i 0.0276210 + 0.0703773i
\(287\) −9.12547 + 16.1716i −0.538659 + 0.954577i
\(288\) 11.5223 9.58783i 0.678955 0.564968i
\(289\) 15.3392 + 2.31201i 0.902304 + 0.136000i
\(290\) 0.428927 + 5.72363i 0.0251874 + 0.336103i
\(291\) 18.8033 + 7.97186i 1.10227 + 0.467319i
\(292\) 5.26677 + 4.88685i 0.308215 + 0.285981i
\(293\) 9.57488 + 16.5842i 0.559371 + 0.968858i 0.997549 + 0.0699703i \(0.0222904\pi\)
−0.438178 + 0.898888i \(0.644376\pi\)
\(294\) −8.18568 8.95209i −0.477398 0.522096i
\(295\) −6.31144 + 10.9317i −0.367466 + 0.636470i
\(296\) −6.73598 + 2.07777i −0.391521 + 0.120768i
\(297\) −20.1680 25.6125i −1.17027 1.48619i
\(298\) 9.41912 6.42185i 0.545635 0.372008i
\(299\) −0.252689 + 0.316862i −0.0146134 + 0.0183246i
\(300\) −0.998348 2.22476i −0.0576397 0.128447i
\(301\) −5.15884 + 23.6749i −0.297351 + 1.36460i
\(302\) 21.6177 + 3.25834i 1.24396 + 0.187497i
\(303\) −0.425433 + 15.7588i −0.0244405 + 0.905317i
\(304\) 1.16039 2.95662i 0.0665527 0.169574i
\(305\) 11.2260 + 10.4162i 0.642801 + 0.596432i
\(306\) −3.65546 0.197514i −0.208969 0.0112911i
\(307\) 2.36748 10.3726i 0.135119 0.591995i −0.861348 0.508015i \(-0.830379\pi\)
0.996467 0.0839805i \(-0.0267634\pi\)
\(308\) 8.14948 14.4420i 0.464360 0.822908i
\(309\) 19.3497 10.4857i 1.10077 0.596513i
\(310\) 2.65136 0.399628i 0.150587 0.0226973i
\(311\) 14.9829 7.21538i 0.849602 0.409147i 0.0421722 0.999110i \(-0.486572\pi\)
0.807430 + 0.589964i \(0.200858\pi\)
\(312\) −1.02532 0.263325i −0.0580473 0.0149079i
\(313\) 28.4919 1.61046 0.805228 0.592965i \(-0.202043\pi\)
0.805228 + 0.592965i \(0.202043\pi\)
\(314\) −4.98422 + 2.40027i −0.281276 + 0.135455i
\(315\) 14.5539 3.79490i 0.820018 0.213818i
\(316\) −9.29442 4.47596i −0.522852 0.251792i
\(317\) 4.13558 + 1.99159i 0.232277 + 0.111859i 0.546403 0.837523i \(-0.315997\pi\)
−0.314125 + 0.949382i \(0.601711\pi\)
\(318\) −6.50198 + 3.52347i −0.364613 + 0.197586i
\(319\) 4.22655 + 18.5177i 0.236641 + 1.03679i
\(320\) 10.9704 7.47952i 0.613266 0.418118i
\(321\) 17.4412 + 14.6961i 0.973473 + 0.820259i
\(322\) −5.26652 + 0.0518752i −0.293492 + 0.00289089i
\(323\) 3.47649 1.67419i 0.193437 0.0931545i
\(324\) 8.98332 0.374276i 0.499073 0.0207931i
\(325\) −0.143528 + 0.248598i −0.00796150 + 0.0137897i
\(326\) −6.20842 4.23283i −0.343853 0.234435i
\(327\) −11.7706 + 16.3010i −0.650915 + 0.901449i
\(328\) −15.4368 + 14.3233i −0.852356 + 0.790871i
\(329\) −23.3779 15.6037i −1.28887 0.860262i
\(330\) −11.1417 17.3288i −0.613331 0.953921i
\(331\) 6.75128 3.25125i 0.371084 0.178705i −0.239042 0.971009i \(-0.576833\pi\)
0.610126 + 0.792305i \(0.291119\pi\)
\(332\) −9.64849 8.95249i −0.529529 0.491331i
\(333\) −6.61298 2.43778i −0.362389 0.133590i
\(334\) −2.90764 + 2.69789i −0.159099 + 0.147622i
\(335\) 7.38274 + 18.8109i 0.403362 + 1.02775i
\(336\) −1.92482 4.17867i −0.105007 0.227965i
\(337\) −6.39074 + 16.2833i −0.348126 + 0.887010i 0.644368 + 0.764716i \(0.277121\pi\)
−0.992494 + 0.122295i \(0.960975\pi\)
\(338\) −4.73661 12.0687i −0.257638 0.656450i
\(339\) −16.4280 13.8424i −0.892247 0.751817i
\(340\) 2.28310 + 0.344121i 0.123818 + 0.0186626i
\(341\) 8.47886 2.61538i 0.459156 0.141631i
\(342\) 8.12292 4.91803i 0.439237 0.265937i
\(343\) 16.4415 8.52512i 0.887757 0.460313i
\(344\) −13.7396 + 23.7977i −0.740790 + 1.28309i
\(345\) 2.99115 5.80500i 0.161038 0.312531i
\(346\) −4.30831 + 5.40246i −0.231616 + 0.290438i
\(347\) 1.31561 + 0.633566i 0.0706259 + 0.0340116i 0.468863 0.883271i \(-0.344664\pi\)
−0.398237 + 0.917282i \(0.630378\pi\)
\(348\) −4.82302 2.04477i −0.258541 0.109611i
\(349\) −17.8623 + 2.69230i −0.956145 + 0.144116i −0.608538 0.793525i \(-0.708244\pi\)
−0.347607 + 0.937640i \(0.613006\pi\)
\(350\) −3.68307 + 0.592290i −0.196868 + 0.0316593i
\(351\) −0.654796 0.831562i −0.0349504 0.0443855i
\(352\) 22.9794 21.3218i 1.22481 1.13645i
\(353\) 3.60705 9.19060i 0.191984 0.489167i −0.802176 0.597088i \(-0.796324\pi\)
0.994159 + 0.107922i \(0.0344195\pi\)
\(354\) 6.24298 + 9.70979i 0.331811 + 0.516069i
\(355\) −1.60357 + 21.3982i −0.0851089 + 1.13570i
\(356\) 7.25448 2.23771i 0.384487 0.118598i
\(357\) 1.73874 5.31186i 0.0920239 0.281133i
\(358\) 10.7589 + 3.31867i 0.568624 + 0.175397i
\(359\) 4.02130 10.2461i 0.212236 0.540769i −0.784622 0.619974i \(-0.787143\pi\)
0.996858 + 0.0792052i \(0.0252382\pi\)
\(360\) 17.0323 + 0.920299i 0.897680 + 0.0485040i
\(361\) 4.49556 7.78654i 0.236608 0.409818i
\(362\) 7.47734 0.393000
\(363\) −32.4282 36.8983i −1.70204 1.93666i
\(364\) 0.264589 0.468887i 0.0138682 0.0245764i
\(365\) 1.01842 + 13.5899i 0.0533065 + 0.711326i
\(366\) 13.1700 4.76282i 0.688405 0.248957i
\(367\) −4.37398 + 4.05846i −0.228320 + 0.211850i −0.786034 0.618183i \(-0.787869\pi\)
0.557714 + 0.830033i \(0.311679\pi\)
\(368\) −1.90878 0.588782i −0.0995022 0.0306924i
\(369\) −20.9587 + 2.01019i −1.09106 + 0.104646i
\(370\) −4.01292 1.93252i −0.208622 0.100467i
\(371\) −2.62077 10.9826i −0.136064 0.570187i
\(372\) −0.784173 + 2.31817i −0.0406575 + 0.120191i
\(373\) −16.5360 + 28.6413i −0.856204 + 1.48299i 0.0193198 + 0.999813i \(0.493850\pi\)
−0.875524 + 0.483175i \(0.839483\pi\)
\(374\) −7.65575 −0.395869
\(375\) 6.74064 19.9267i 0.348085 1.02901i
\(376\) −19.8741 24.9213i −1.02493 1.28522i
\(377\) 0.137223 + 0.601215i 0.00706736 + 0.0309641i
\(378\) 3.01131 13.4208i 0.154885 0.690293i
\(379\) −4.81788 + 21.1085i −0.247478 + 1.08427i 0.686553 + 0.727080i \(0.259123\pi\)
−0.934031 + 0.357192i \(0.883734\pi\)
\(380\) −5.39592 + 2.59854i −0.276805 + 0.133302i
\(381\) 16.8253 + 26.1686i 0.861987 + 1.34066i
\(382\) 2.74357 + 3.44033i 0.140373 + 0.176023i
\(383\) 21.5423 + 6.64491i 1.10076 + 0.339539i 0.791333 0.611385i \(-0.209387\pi\)
0.309425 + 0.950924i \(0.399863\pi\)
\(384\) 0.631842 + 5.12744i 0.0322436 + 0.261658i
\(385\) 29.9638 9.56681i 1.52710 0.487570i
\(386\) −2.83744 3.55803i −0.144422 0.181099i
\(387\) −25.3610 + 10.5679i −1.28917 + 0.537196i
\(388\) −9.73295 + 6.63581i −0.494116 + 0.336882i
\(389\) 0.895764 + 0.135015i 0.0454170 + 0.00684552i 0.171711 0.985147i \(-0.445070\pi\)
−0.126294 + 0.991993i \(0.540308\pi\)
\(390\) −0.361738 0.562615i −0.0183173 0.0284891i
\(391\) −1.21336 2.10161i −0.0613624 0.106283i
\(392\) 20.7032 3.53890i 1.04567 0.178742i
\(393\) −7.19387 25.7717i −0.362883 1.30001i
\(394\) 4.08432 17.8946i 0.205765 0.901515i
\(395\) −7.14878 18.2148i −0.359694 0.916486i
\(396\) 18.7171 1.79519i 0.940568 0.0902118i
\(397\) 27.5960 + 4.15942i 1.38500 + 0.208755i 0.798891 0.601475i \(-0.205420\pi\)
0.586111 + 0.810231i \(0.300658\pi\)
\(398\) −4.41982 + 0.666181i −0.221546 + 0.0333926i
\(399\) 4.03523 + 13.9249i 0.202014 + 0.697118i
\(400\) −1.39902 0.210868i −0.0699510 0.0105434i
\(401\) −17.6326 5.43893i −0.880529 0.271607i −0.178658 0.983911i \(-0.557176\pi\)
−0.701871 + 0.712304i \(0.747652\pi\)
\(402\) 18.3843 + 1.87783i 0.916928 + 0.0936577i
\(403\) 0.275283 0.0849136i 0.0137128 0.00422985i
\(404\) −7.51270 5.12207i −0.373771 0.254833i
\(405\) 12.9737 + 11.0694i 0.644670 + 0.550044i
\(406\) −4.93463 + 6.31443i −0.244902 + 0.313380i
\(407\) −14.0845 4.34450i −0.698144 0.215349i
\(408\) 3.71069 5.13892i 0.183706 0.254414i
\(409\) 26.4479 12.7367i 1.30777 0.629787i 0.355392 0.934717i \(-0.384347\pi\)
0.952375 + 0.304930i \(0.0986331\pi\)
\(410\) −13.3057 −0.657121
\(411\) −17.5578 4.50924i −0.866063 0.222425i
\(412\) −0.948617 + 12.6584i −0.0467350 + 0.623635i
\(413\) −16.7895 + 5.36052i −0.826155 + 0.263774i
\(414\) −3.46612 4.86316i −0.170350 0.239011i
\(415\) −1.86570 24.8960i −0.0915835 1.22210i
\(416\) 0.746071 0.692253i 0.0365792 0.0339405i
\(417\) −0.198516 + 7.35337i −0.00972139 + 0.360096i
\(418\) 16.4077 11.1866i 0.802525 0.547152i
\(419\) −1.59713 21.3122i −0.0780247 1.04117i −0.889546 0.456845i \(-0.848980\pi\)
0.811522 0.584322i \(-0.198640\pi\)
\(420\) −2.69873 + 8.24461i −0.131684 + 0.402296i
\(421\) −0.871608 + 11.6308i −0.0424796 + 0.566850i 0.934838 + 0.355073i \(0.115544\pi\)
−0.977318 + 0.211777i \(0.932075\pi\)
\(422\) −6.09040 10.5489i −0.296476 0.513512i
\(423\) −0.663482 31.8634i −0.0322596 1.54925i
\(424\) 0.956906 12.7690i 0.0464715 0.620119i
\(425\) −1.07166 1.34383i −0.0519834 0.0651851i
\(426\) 16.7235 + 10.2668i 0.810255 + 0.497428i
\(427\) 1.80782 + 21.3055i 0.0874864 + 1.03104i
\(428\) −12.5704 + 3.87744i −0.607611 + 0.187423i
\(429\) −1.46120 1.66262i −0.0705472 0.0802719i
\(430\) −16.5914 + 5.11776i −0.800107 + 0.246800i
\(431\) 11.3644 1.71291i 0.547404 0.0825079i 0.130483 0.991451i \(-0.458347\pi\)
0.416921 + 0.908943i \(0.363109\pi\)
\(432\) 2.63616 4.50159i 0.126832 0.216583i
\(433\) 18.0404 22.6220i 0.866968 1.08714i −0.128469 0.991714i \(-0.541006\pi\)
0.995436 0.0954294i \(-0.0304224\pi\)
\(434\) 3.11382 + 2.07834i 0.149468 + 0.0997636i
\(435\) −4.06812 9.06557i −0.195051 0.434661i
\(436\) −4.23687 10.7954i −0.202909 0.517004i
\(437\) 5.67132 + 2.73116i 0.271296 + 0.130649i
\(438\) 11.4741 + 4.86457i 0.548256 + 0.232438i
\(439\) 6.33714 27.7648i 0.302455 1.32514i −0.563954 0.825806i \(-0.690720\pi\)
0.866409 0.499336i \(-0.166422\pi\)
\(440\) 35.6713 1.70056
\(441\) 18.5969 + 9.75468i 0.885569 + 0.464509i
\(442\) −0.248559 −0.0118227
\(443\) 3.39634 14.8804i 0.161365 0.706987i −0.827902 0.560872i \(-0.810466\pi\)
0.989268 0.146115i \(-0.0466769\pi\)
\(444\) 3.24550 2.44788i 0.154025 0.116171i
\(445\) 12.9740 + 6.24794i 0.615026 + 0.296181i
\(446\) −3.90199 9.94212i −0.184765 0.470773i
\(447\) −11.5535 + 16.0004i −0.546461 + 0.756792i
\(448\) 18.3578 + 2.58233i 0.867324 + 0.122004i
\(449\) 1.84364 2.31185i 0.0870067 0.109103i −0.736423 0.676522i \(-0.763486\pi\)
0.823429 + 0.567419i \(0.192058\pi\)
\(450\) −2.94096 3.04014i −0.138638 0.143314i
\(451\) −43.5398 + 6.56257i −2.05021 + 0.309020i
\(452\) 11.8401 3.65219i 0.556912 0.171785i
\(453\) −37.1121 + 7.42296i −1.74368 + 0.348761i
\(454\) −0.606427 + 0.187058i −0.0284610 + 0.00877906i
\(455\) 0.972833 0.310606i 0.0456071 0.0145614i
\(456\) −0.443708 + 16.4357i −0.0207785 + 0.769671i
\(457\) 1.46180 + 1.83303i 0.0683800 + 0.0857458i 0.814845 0.579679i \(-0.196822\pi\)
−0.746465 + 0.665425i \(0.768251\pi\)
\(458\) 1.75736 23.4504i 0.0821162 1.09576i
\(459\) 6.06740 1.83062i 0.283202 0.0854460i
\(460\) 1.88328 + 3.26193i 0.0878083 + 0.152088i
\(461\) −0.491470 + 6.55821i −0.0228900 + 0.305446i 0.973995 + 0.226572i \(0.0727517\pi\)
−0.996885 + 0.0788747i \(0.974867\pi\)
\(462\) 4.77401 28.3657i 0.222107 1.31969i
\(463\) −2.57306 34.3351i −0.119580 1.59569i −0.658005 0.753013i \(-0.728600\pi\)
0.538425 0.842673i \(-0.319019\pi\)
\(464\) −2.51130 + 1.71217i −0.116584 + 0.0794856i
\(465\) −4.08114 + 2.21160i −0.189258 + 0.102560i
\(466\) −18.0471 + 16.7452i −0.836014 + 0.775708i
\(467\) −2.86638 38.2491i −0.132640 1.76996i −0.525915 0.850537i \(-0.676277\pi\)
0.393275 0.919421i \(-0.371342\pi\)
\(468\) 0.607687 0.0582845i 0.0280903 0.00269420i
\(469\) −10.0488 + 26.3646i −0.464011 + 1.21740i
\(470\) 1.50511 20.0843i 0.0694254 0.926418i
\(471\) 6.70116 6.84215i 0.308773 0.315270i
\(472\) −19.9875 −0.920000
\(473\) −51.7673 + 24.9298i −2.38026 + 1.14627i
\(474\) −17.8017 1.81832i −0.817661 0.0835183i
\(475\) 4.26037 + 1.31415i 0.195479 + 0.0602973i
\(476\) 2.03469 + 2.50050i 0.0932600 + 0.114610i
\(477\) 8.51080 9.56431i 0.389683 0.437920i
\(478\) 3.30788 + 2.25528i 0.151299 + 0.103154i
\(479\) 35.7565 11.0294i 1.63376 0.503947i 0.663941 0.747785i \(-0.268882\pi\)
0.969816 + 0.243837i \(0.0784063\pi\)
\(480\) −9.60029 + 13.2954i −0.438191 + 0.606849i
\(481\) −0.457282 0.141053i −0.0208503 0.00643146i
\(482\) −6.02137 0.907575i −0.274266 0.0413389i
\(483\) 8.54339 3.18515i 0.388738 0.144929i
\(484\) 28.0167 4.22284i 1.27349 0.191947i
\(485\) −22.0944 3.33019i −1.00325 0.151216i
\(486\) 14.4330 5.90997i 0.654695 0.268082i
\(487\) −7.95846 20.2778i −0.360632 0.918876i −0.989910 0.141696i \(-0.954744\pi\)
0.629278 0.777180i \(-0.283351\pi\)
\(488\) −5.39589 + 23.6409i −0.244261 + 1.07018i
\(489\) 12.5995 + 3.23583i 0.569767 + 0.146329i
\(490\) 11.1102 + 7.25839i 0.501906 + 0.327901i
\(491\) 9.58221 + 16.5969i 0.432439 + 0.749006i 0.997083 0.0763284i \(-0.0243197\pi\)
−0.564644 + 0.825335i \(0.690986\pi\)
\(492\) 5.56244 10.7952i 0.250774 0.486685i
\(493\) −3.65125 0.550338i −0.164444 0.0247860i
\(494\) 0.532707 0.363194i 0.0239676 0.0163409i
\(495\) 28.3412 + 21.6517i 1.27384 + 0.973172i
\(496\) 0.885280 + 1.11011i 0.0397502 + 0.0498452i
\(497\) −21.7609 + 20.5937i −0.976109 + 0.923754i
\(498\) −21.0201 8.91168i −0.941933 0.399342i
\(499\) −29.4709 9.09058i −1.31930 0.406950i −0.446394 0.894837i \(-0.647292\pi\)
−0.872907 + 0.487886i \(0.837768\pi\)
\(500\) 7.56485 + 9.48602i 0.338310 + 0.424228i
\(501\) 3.14525 6.10408i 0.140520 0.272710i
\(502\) −1.59332 + 0.767304i −0.0711135 + 0.0342465i
\(503\) −7.20219 + 31.5549i −0.321130 + 1.40696i 0.514416 + 0.857541i \(0.328009\pi\)
−0.835546 + 0.549421i \(0.814848\pi\)
\(504\) 16.7265 + 16.9532i 0.745058 + 0.755155i
\(505\) −3.83780 16.8145i −0.170780 0.748235i
\(506\) −7.78680 9.76434i −0.346166 0.434078i
\(507\) 14.8168 + 16.8592i 0.658035 + 0.748743i
\(508\) −17.9442 −0.796143
\(509\) −13.9382 + 24.1416i −0.617798 + 1.07006i 0.372088 + 0.928197i \(0.378642\pi\)
−0.989887 + 0.141861i \(0.954691\pi\)
\(510\) 3.92725 0.785506i 0.173901 0.0347828i
\(511\) −11.7165 + 14.9926i −0.518308 + 0.663235i
\(512\) 9.94755 + 4.79049i 0.439624 + 0.211712i
\(513\) −10.3286 + 12.7890i −0.456021 + 0.564649i
\(514\) 20.0738 + 6.19196i 0.885419 + 0.273116i
\(515\) −17.6503 + 16.3770i −0.777763 + 0.721659i
\(516\) 2.78387 15.6004i 0.122553 0.686770i
\(517\) −4.98076 66.4636i −0.219053 2.92306i
\(518\) −2.32890 5.76627i −0.102326 0.253356i
\(519\) 3.83323 11.3318i 0.168260 0.497410i
\(520\) 1.15814 0.0507878
\(521\) −7.93288 + 13.7402i −0.347546 + 0.601967i −0.985813 0.167848i \(-0.946318\pi\)
0.638267 + 0.769815i \(0.279652\pi\)
\(522\) −9.07368 0.490275i −0.397144 0.0214588i
\(523\) −1.98885 + 5.06751i −0.0869664 + 0.221587i −0.967740 0.251951i \(-0.918928\pi\)
0.880774 + 0.473537i \(0.157023\pi\)
\(524\) 14.7472 + 4.54892i 0.644236 + 0.198720i
\(525\) 5.64734 3.13268i 0.246470 0.136721i
\(526\) 10.4182 3.21360i 0.454257 0.140120i
\(527\) −0.128906 + 1.72014i −0.00561525 + 0.0749303i
\(528\) 4.99700 9.69783i 0.217467 0.422044i
\(529\) −6.95653 + 17.7250i −0.302458 + 0.770650i
\(530\) 5.93092 5.50309i 0.257623 0.239039i
\(531\) −15.8803 12.1320i −0.689147 0.526484i
\(532\) −8.01444 2.38593i −0.347470 0.103443i
\(533\) −1.41361 + 0.213067i −0.0612301 + 0.00922896i
\(534\) 10.5136 7.92977i 0.454969 0.343155i
\(535\) −22.4810 10.8263i −0.971937 0.468060i
\(536\) −19.9503 + 25.0169i −0.861721 + 1.08056i
\(537\) −19.4694 + 0.931537i −0.840167 + 0.0401988i
\(538\) −10.1016 + 17.4965i −0.435511 + 0.754327i
\(539\) 39.9355 + 18.2717i 1.72014 + 0.787020i
\(540\) −9.41730 + 2.84133i −0.405256 + 0.122272i
\(541\) 14.0901 4.34623i 0.605781 0.186859i 0.0233347 0.999728i \(-0.492572\pi\)
0.582447 + 0.812869i \(0.302095\pi\)
\(542\) 1.66504 + 0.250965i 0.0715197 + 0.0107799i
\(543\) −12.1732 + 4.40233i −0.522400 + 0.188922i
\(544\) 2.22642 + 5.67282i 0.0954570 + 0.243220i
\(545\) 8.03648 20.4766i 0.344245 0.877122i
\(546\) 0.154998 0.920947i 0.00663330 0.0394129i
\(547\) −15.0793 38.4215i −0.644745 1.64278i −0.760370 0.649490i \(-0.774983\pi\)
0.115626 0.993293i \(-0.463113\pi\)
\(548\) 7.66453 7.11164i 0.327412 0.303794i
\(549\) −18.6366 + 15.5078i −0.795393 + 0.661857i
\(550\) −6.48446 6.01670i −0.276498 0.256553i
\(551\) 8.62946 4.15573i 0.367627 0.177040i
\(552\) 10.3285 0.494180i 0.439611 0.0210337i
\(553\) 9.73036 25.5291i 0.413777 1.08561i
\(554\) −13.9007 + 12.8980i −0.590585 + 0.547983i
\(555\) 7.67085 + 0.783523i 0.325609 + 0.0332587i
\(556\) −3.50559 2.39007i −0.148670 0.101362i
\(557\) 1.71759 2.97495i 0.0727766 0.126053i −0.827341 0.561701i \(-0.810147\pi\)
0.900117 + 0.435648i \(0.143481\pi\)
\(558\) 0.0883726 + 4.24405i 0.00374111 + 0.179665i
\(559\) −1.68073 + 0.809397i −0.0710873 + 0.0342338i
\(560\) 3.17682 + 3.90409i 0.134245 + 0.164978i
\(561\) 12.4636 4.50737i 0.526214 0.190301i
\(562\) 9.17116 6.25279i 0.386862 0.263758i
\(563\) 3.52039 + 15.4238i 0.148367 + 0.650037i 0.993339 + 0.115227i \(0.0367596\pi\)
−0.844972 + 0.534810i \(0.820383\pi\)
\(564\) 15.6656 + 9.61736i 0.659641 + 0.404964i
\(565\) 21.1750 + 10.1973i 0.890838 + 0.429005i
\(566\) −9.90939 4.77211i −0.416523 0.200587i
\(567\) 2.99917 + 23.6221i 0.125953 + 0.992036i
\(568\) −30.6129 + 14.7424i −1.28449 + 0.618576i
\(569\) 4.41109 0.184922 0.0924612 0.995716i \(-0.470527\pi\)
0.0924612 + 0.995716i \(0.470527\pi\)
\(570\) −7.26903 + 7.42197i −0.304466 + 0.310872i
\(571\) 21.4478 10.3287i 0.897565 0.432244i 0.0725559 0.997364i \(-0.476884\pi\)
0.825009 + 0.565120i \(0.191170\pi\)
\(572\) 1.26242 0.190279i 0.0527844 0.00795596i
\(573\) −6.49207 3.98559i −0.271210 0.166500i
\(574\) −13.7423 12.5014i −0.573592 0.521796i
\(575\) 0.623940 2.73366i 0.0260201 0.114001i
\(576\) 9.51285 + 18.7450i 0.396369 + 0.781043i
\(577\) 19.1974 + 17.8126i 0.799198 + 0.741548i 0.969829 0.243788i \(-0.0783900\pi\)
−0.170630 + 0.985335i \(0.554580\pi\)
\(578\) −5.67012 + 14.4472i −0.235846 + 0.600926i
\(579\) 6.71418 + 4.12194i 0.279032 + 0.171302i
\(580\) 5.66717 + 0.854188i 0.235316 + 0.0354682i
\(581\) 21.4641 27.4658i 0.890482 1.13947i
\(582\) −11.9620 + 16.5662i −0.495842 + 0.686690i
\(583\) 16.6934 20.9329i 0.691370 0.866950i
\(584\) −17.8294 + 12.1559i −0.737786 + 0.503014i
\(585\) 0.920155 + 0.702966i 0.0380437 + 0.0290641i
\(586\) −18.3080 + 5.64728i −0.756298 + 0.233287i
\(587\) −21.5788 + 37.3756i −0.890652 + 1.54266i −0.0515574 + 0.998670i \(0.516419\pi\)
−0.839095 + 0.543985i \(0.816915\pi\)
\(588\) −10.5335 + 5.97955i −0.434395 + 0.246593i
\(589\) −2.23719 3.87492i −0.0921817 0.159663i
\(590\) −9.25779 8.58998i −0.381137 0.353644i
\(591\) 3.88625 + 31.5371i 0.159859 + 1.29726i
\(592\) −0.176259 2.35201i −0.00724420 0.0966672i
\(593\) 19.1464 + 2.88586i 0.786248 + 0.118508i 0.529881 0.848072i \(-0.322236\pi\)
0.256367 + 0.966580i \(0.417474\pi\)
\(594\) 29.4727 13.9699i 1.20928 0.573194i
\(595\) −0.396876 + 6.10188i −0.0162703 + 0.250153i
\(596\) −4.15872 10.5963i −0.170348 0.434039i
\(597\) 6.80328 3.68675i 0.278440 0.150889i
\(598\) −0.252814 0.317019i −0.0103383 0.0129639i
\(599\) 6.35398 27.8386i 0.259616 1.13745i −0.662047 0.749463i \(-0.730312\pi\)
0.921663 0.387991i \(-0.126831\pi\)
\(600\) 7.18168 1.43644i 0.293191 0.0586424i
\(601\) −11.1319 10.3289i −0.454081 0.421326i 0.419687 0.907669i \(-0.362140\pi\)
−0.873768 + 0.486343i \(0.838330\pi\)
\(602\) −21.9442 10.3027i −0.894377 0.419908i
\(603\) −31.0354 + 7.76678i −1.26386 + 0.316288i
\(604\) 7.97522 20.3205i 0.324507 0.826831i
\(605\) 44.4040 + 30.2741i 1.80528 + 1.23082i
\(606\) −15.2765 3.92335i −0.620566 0.159375i
\(607\) −18.1096 + 31.3667i −0.735046 + 1.27314i 0.219658 + 0.975577i \(0.429506\pi\)
−0.954703 + 0.297559i \(0.903827\pi\)
\(608\) −13.0607 8.90466i −0.529683 0.361132i
\(609\) 4.31595 13.1852i 0.174891 0.534293i
\(610\) −12.6594 + 8.63100i −0.512562 + 0.349459i
\(611\) −0.161710 2.15787i −0.00654209 0.0872982i
\(612\) −1.00449 + 3.51464i −0.0406040 + 0.142071i
\(613\) −10.1218 3.12215i −0.408814 0.126103i 0.0835254 0.996506i \(-0.473382\pi\)
−0.492340 + 0.870403i \(0.663858\pi\)
\(614\) 9.59045 + 4.61852i 0.387039 + 0.186388i
\(615\) 21.6617 7.83381i 0.873485 0.315890i
\(616\) 36.8418 + 33.5150i 1.48440 + 1.35036i
\(617\) 40.4076 + 27.5494i 1.62675 + 1.10910i 0.912393 + 0.409316i \(0.134233\pi\)
0.714356 + 0.699783i \(0.246720\pi\)
\(618\) 5.92005 + 21.2083i 0.238139 + 0.853124i
\(619\) 9.40076 + 16.2826i 0.377848 + 0.654453i 0.990749 0.135707i \(-0.0433307\pi\)
−0.612901 + 0.790160i \(0.709997\pi\)
\(620\) 0.200077 2.66985i 0.00803530 0.107224i
\(621\) 8.50608 + 5.87656i 0.341337 + 0.235818i
\(622\) 3.70230 + 16.2208i 0.148449 + 0.650396i
\(623\) 7.52944 + 18.6427i 0.301661 + 0.746902i
\(624\) 0.162238 0.314859i 0.00649470 0.0126045i
\(625\) −1.19327 + 15.9231i −0.0477307 + 0.636922i
\(626\) −6.34317 + 27.7913i −0.253524 + 1.11076i
\(627\) −20.1256 + 27.8719i −0.803740 + 1.11310i
\(628\) 1.22918 + 5.38538i 0.0490495 + 0.214900i
\(629\) 1.78654 2.24025i 0.0712340 0.0893246i
\(630\) 0.461438 + 15.0409i 0.0183841 + 0.599242i
\(631\) −3.71004 4.65224i −0.147694 0.185203i 0.702481 0.711702i \(-0.252076\pi\)
−0.850175 + 0.526500i \(0.823504\pi\)
\(632\) 19.3181 24.2241i 0.768431 0.963582i
\(633\) 16.1260 + 13.5879i 0.640949 + 0.540070i
\(634\) −2.86332 + 3.59049i −0.113717 + 0.142597i
\(635\) −24.9505 23.1507i −0.990129 0.918706i
\(636\) 1.98536 + 7.11246i 0.0787246 + 0.282027i
\(637\) 1.29658 + 0.593229i 0.0513726 + 0.0235046i
\(638\) −19.0033 −0.752349
\(639\) −33.2706 6.86837i −1.31616 0.271708i
\(640\) −2.06492 5.26133i −0.0816231 0.207972i
\(641\) 1.28310 + 17.1217i 0.0506792 + 0.676267i 0.963466 + 0.267831i \(0.0863068\pi\)
−0.912787 + 0.408436i \(0.866074\pi\)
\(642\) −18.2177 + 13.7405i −0.718995 + 0.542294i
\(643\) 16.1216 41.0772i 0.635775 1.61993i −0.140898 0.990024i \(-0.544999\pi\)
0.776673 0.629904i \(-0.216906\pi\)
\(644\) −1.11968 + 5.13840i −0.0441214 + 0.202481i
\(645\) 23.9977 18.1000i 0.944910 0.712688i
\(646\) 0.859047 + 3.76373i 0.0337988 + 0.148082i
\(647\) 44.9329 6.77254i 1.76649 0.266256i 0.816235 0.577720i \(-0.196058\pi\)
0.950258 + 0.311464i \(0.100819\pi\)
\(648\) −4.90791 + 26.5547i −0.192801 + 1.04317i
\(649\) −34.5308 23.5427i −1.35545 0.924131i
\(650\) −0.210531 0.195344i −0.00825770 0.00766202i
\(651\) −6.29297 1.55027i −0.246641 0.0607598i
\(652\) −5.50005 + 5.10330i −0.215399 + 0.199861i
\(653\) −1.45195 + 0.218846i −0.0568192 + 0.00856411i −0.177390 0.984141i \(-0.556766\pi\)
0.120571 + 0.992705i \(0.461527\pi\)
\(654\) −13.2797 15.1102i −0.519277 0.590857i
\(655\) 14.6365 + 25.3512i 0.571896 + 0.990553i
\(656\) −3.52300 6.10201i −0.137550 0.238243i
\(657\) −21.5440 1.16408i −0.840513 0.0454151i
\(658\) 20.4247 19.3292i 0.796237 0.753529i
\(659\) −6.68112 + 4.55511i −0.260259 + 0.177442i −0.686419 0.727206i \(-0.740818\pi\)
0.426160 + 0.904648i \(0.359866\pi\)
\(660\) −19.3450 + 6.99596i −0.753001 + 0.272317i
\(661\) −8.93474 39.1457i −0.347521 1.52259i −0.782788 0.622288i \(-0.786203\pi\)
0.435267 0.900301i \(-0.356654\pi\)
\(662\) 1.66825 + 7.30909i 0.0648385 + 0.284076i
\(663\) 0.404656 0.146341i 0.0157155 0.00568341i
\(664\) 32.6627 22.2690i 1.26756 0.864206i
\(665\) −8.06547 13.6574i −0.312765 0.529609i
\(666\) 3.85009 5.90763i 0.149188 0.228916i
\(667\) −3.01184 5.21667i −0.116619 0.201990i
\(668\) 1.98031 + 3.42999i 0.0766204 + 0.132710i
\(669\) 12.2060 + 13.8885i 0.471910 + 0.536961i
\(670\) −19.9920 + 3.01330i −0.772357 + 0.116414i
\(671\) −37.1679 + 34.4868i −1.43485 + 1.33135i
\(672\) −22.4070 + 4.71171i −0.864369 + 0.181758i
\(673\) −28.2469 26.2093i −1.08884 1.01030i −0.999898 0.0142588i \(-0.995461\pi\)
−0.0889414 0.996037i \(-0.528348\pi\)
\(674\) −14.4601 9.85876i −0.556984 0.379745i
\(675\) 6.57781 + 3.21786i 0.253180 + 0.123855i
\(676\) −12.8011 + 1.92946i −0.492351 + 0.0742099i
\(677\) −1.05271 4.61220i −0.0404587 0.177261i 0.950661 0.310230i \(-0.100406\pi\)
−0.991120 + 0.132969i \(0.957549\pi\)
\(678\) 17.1594 12.9423i 0.659002 0.497045i
\(679\) −19.6905 24.1983i −0.755652 0.928644i
\(680\) −2.53351 + 6.45527i −0.0971556 + 0.247548i
\(681\) 0.877136 0.661570i 0.0336119 0.0253514i
\(682\) 0.663412 + 8.85262i 0.0254034 + 0.338984i
\(683\) −16.4805 41.9916i −0.630609 1.60676i −0.785520 0.618836i \(-0.787604\pi\)
0.154911 0.987928i \(-0.450491\pi\)
\(684\) −2.98279 9.00028i −0.114050 0.344134i
\(685\) 19.8322 0.757751
\(686\) 4.65510 + 17.9351i 0.177733 + 0.684766i
\(687\) 10.9456 + 39.2120i 0.417600 + 1.49603i
\(688\) −6.73997 6.25378i −0.256959 0.238423i
\(689\) 0.541984 0.679627i 0.0206480 0.0258917i
\(690\) 4.99633 + 4.20996i 0.190207 + 0.160271i
\(691\) −7.53172 + 9.44448i −0.286520 + 0.359285i −0.904173 0.427166i \(-0.859512\pi\)
0.617653 + 0.786451i \(0.288084\pi\)
\(692\) 4.30194 + 5.39446i 0.163535 + 0.205067i
\(693\) 8.92834 + 48.9902i 0.339160 + 1.86098i
\(694\) −0.910882 + 1.14221i −0.0345766 + 0.0433577i
\(695\) −1.79080 7.84601i −0.0679289 0.297616i
\(696\) 9.21077 12.7560i 0.349133 0.483514i
\(697\) 1.90476 8.34530i 0.0721480 0.316101i
\(698\) 1.35059 18.0224i 0.0511207 0.682158i
\(699\) 19.5219 37.8867i 0.738385 1.43301i
\(700\) −0.241760 + 3.71701i −0.00913769 + 0.140490i
\(701\) 3.27739 + 14.3592i 0.123785 + 0.542338i 0.998350 + 0.0574290i \(0.0182903\pi\)
−0.874564 + 0.484909i \(0.838853\pi\)
\(702\) 0.956891 0.453562i 0.0361155 0.0171186i
\(703\) −0.555434 + 7.41175i −0.0209486 + 0.279540i
\(704\) 21.9801 + 38.0707i 0.828408 + 1.43484i
\(705\) 9.37442 + 33.5835i 0.353061 + 1.26483i
\(706\) 8.16156 + 5.56446i 0.307164 + 0.209421i
\(707\) 11.8343 20.9720i 0.445076 0.788735i
\(708\) 10.8395 3.92001i 0.407372 0.147323i
\(709\) 12.2054 + 5.87781i 0.458383 + 0.220746i 0.648802 0.760957i \(-0.275270\pi\)
−0.190419 + 0.981703i \(0.560985\pi\)
\(710\) −20.5150 6.32804i −0.769915 0.237487i
\(711\) 30.0519 7.52066i 1.12703 0.282047i
\(712\) 1.70396 + 22.7378i 0.0638586 + 0.852134i
\(713\) −2.32502 + 1.58517i −0.0870726 + 0.0593651i
\(714\) 4.79413 + 2.87857i 0.179416 + 0.107728i
\(715\) 2.00082 + 1.36414i 0.0748264 + 0.0510158i
\(716\) 5.62121 9.73622i 0.210074 0.363859i
\(717\) −6.71307 1.72407i −0.250704 0.0643865i
\(718\) 9.09888 + 6.20351i 0.339567 + 0.231513i
\(719\) 2.84242 7.24237i 0.106004 0.270095i −0.868023 0.496523i \(-0.834610\pi\)
0.974028 + 0.226428i \(0.0727049\pi\)
\(720\) −1.56833 + 5.48751i −0.0584483 + 0.204507i
\(721\) −33.6165 + 0.331122i −1.25194 + 0.0123316i
\(722\) 6.59421 + 6.11853i 0.245411 + 0.227708i
\(723\) 10.3372 2.06758i 0.384444 0.0768942i
\(724\) 1.66140 7.27908i 0.0617455 0.270525i
\(725\) −2.66012 3.33568i −0.0987943 0.123884i
\(726\) 43.2105 23.4161i 1.60369 0.869051i
\(727\) 10.5735 + 26.9409i 0.392151 + 0.999184i 0.981527 + 0.191325i \(0.0612784\pi\)
−0.589376 + 0.807859i \(0.700626\pi\)
\(728\) 1.19614 + 1.08813i 0.0443320 + 0.0403288i
\(729\) −20.0175 + 18.1190i −0.741390 + 0.671075i
\(730\) −13.4824 2.03214i −0.499006 0.0752131i
\(731\) −0.834731 11.1387i −0.0308736 0.411980i
\(732\) −1.71028 13.8790i −0.0632137 0.512983i
\(733\) −14.8943 13.8199i −0.550135 0.510451i 0.355405 0.934713i \(-0.384343\pi\)
−0.905540 + 0.424262i \(0.860534\pi\)
\(734\) −2.98488 5.16996i −0.110174 0.190827i
\(735\) −22.3609 5.27553i −0.824793 0.194591i
\(736\) −4.97074 + 8.60957i −0.183224 + 0.317353i
\(737\) −63.9330 + 19.7207i −2.35500 + 0.726422i
\(738\) 2.70529 20.8908i 0.0995830 0.769001i
\(739\) 12.8001 8.72695i 0.470859 0.321026i −0.304538 0.952500i \(-0.598502\pi\)
0.775397 + 0.631474i \(0.217550\pi\)
\(740\) −2.77292 + 3.47713i −0.101934 + 0.127822i
\(741\) −0.653419 + 0.904917i −0.0240039 + 0.0332430i
\(742\) 11.2960 0.111265i 0.414688 0.00408468i
\(743\) −8.92310 1.34494i −0.327357 0.0493411i −0.0166922 0.999861i \(-0.505314\pi\)
−0.310665 + 0.950520i \(0.600552\pi\)
\(744\) −6.26387 3.84549i −0.229645 0.140982i
\(745\) 7.88826 20.0990i 0.289003 0.736369i
\(746\) −24.2555 22.5058i −0.888058 0.823997i
\(747\) 39.4677 + 2.13254i 1.44405 + 0.0780257i
\(748\) −1.70104 + 7.45275i −0.0621963 + 0.272500i
\(749\) −13.0468 32.3035i −0.476720 1.18034i
\(750\) 17.9360 + 11.0112i 0.654929 + 0.402071i
\(751\) −17.3270 + 2.61162i −0.632271 + 0.0952995i −0.457356 0.889284i \(-0.651203\pi\)
−0.174915 + 0.984583i \(0.555965\pi\)
\(752\) 9.60919 4.62754i 0.350411 0.168749i
\(753\) 2.14219 2.18726i 0.0780656 0.0797080i
\(754\) −0.616981 −0.0224691
\(755\) 37.3057 17.9655i 1.35769 0.653831i
\(756\) −12.3959 5.91346i −0.450834 0.215070i
\(757\) 2.41181 + 1.16147i 0.0876587 + 0.0422142i 0.477199 0.878795i \(-0.341652\pi\)
−0.389541 + 0.921009i \(0.627366\pi\)
\(758\) −19.5168 9.39881i −0.708883 0.341380i
\(759\) 18.4258 + 11.3119i 0.668814 + 0.410595i
\(760\) −4.00266 17.5368i −0.145192 0.636126i
\(761\) −4.48958 + 3.06094i −0.162747 + 0.110959i −0.641955 0.766742i \(-0.721876\pi\)
0.479208 + 0.877701i \(0.340924\pi\)
\(762\) −29.2710 + 10.5856i −1.06037 + 0.383477i
\(763\) 27.5390 13.5978i 0.996978 0.492275i
\(764\) 3.95871 1.90641i 0.143221 0.0689716i
\(765\) −5.93111 + 3.59100i −0.214440 + 0.129833i
\(766\) −11.2775 + 19.5332i −0.407472 + 0.705762i
\(767\) −1.12111 0.764360i −0.0404809 0.0275994i
\(768\) −29.2890 2.99167i −1.05688 0.107952i
\(769\) 8.10706 7.52225i 0.292348 0.271259i −0.520339 0.853960i \(-0.674194\pi\)
0.812687 + 0.582700i \(0.198004\pi\)
\(770\) 2.66070 + 31.3568i 0.0958848 + 1.13002i
\(771\) −36.3259