Properties

Label 690.2.q.a.11.4
Level $690$
Weight $2$
Character 690.11
Analytic conductor $5.510$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.q (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 11.4
Character \(\chi\) \(=\) 690.11
Dual form 690.2.q.a.251.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.540641 - 0.841254i) q^{2} +(-0.717428 + 1.57648i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(1.71409 - 0.248772i) q^{6} +(3.34933 - 2.90221i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-1.97059 - 2.26203i) q^{9} +O(q^{10})\) \(q+(-0.540641 - 0.841254i) q^{2} +(-0.717428 + 1.57648i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(1.71409 - 0.248772i) q^{6} +(3.34933 - 2.90221i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-1.97059 - 2.26203i) q^{9} +(0.755750 + 0.654861i) q^{10} +(-2.16703 - 1.39266i) q^{11} +(-1.13599 - 1.30749i) q^{12} +(-3.44698 + 3.97803i) q^{13} +(-4.25228 - 1.24858i) q^{14} +(0.244221 - 1.71475i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(-1.32705 - 2.90584i) q^{17} +(-0.837554 + 2.88071i) q^{18} +(2.61627 + 1.19481i) q^{19} +(0.142315 - 0.989821i) q^{20} +(2.17238 + 7.36229i) q^{21} +2.57595i q^{22} +(-3.05423 - 3.69752i) q^{23} +(-0.485769 + 1.66254i) q^{24} +(0.841254 - 0.540641i) q^{25} +(5.21011 + 0.749101i) q^{26} +(4.97980 - 1.48377i) q^{27} +(1.24858 + 4.25228i) q^{28} +(2.44879 - 1.11833i) q^{29} +(-1.57457 + 0.721610i) q^{30} +(-0.885575 - 6.15931i) q^{31} +(-0.281733 + 0.959493i) q^{32} +(3.75020 - 2.41714i) q^{33} +(-1.72709 + 2.68740i) q^{34} +(-2.39601 + 3.72827i) q^{35} +(2.87623 - 0.852836i) q^{36} +(2.30624 - 7.85434i) q^{37} +(-0.409323 - 2.84691i) q^{38} +(-3.79833 - 8.28806i) q^{39} +(-0.909632 + 0.415415i) q^{40} +(-1.17803 - 4.01201i) q^{41} +(5.01908 - 5.80788i) q^{42} +(-5.93426 - 0.853218i) q^{43} +(2.16703 - 1.39266i) q^{44} +(2.52806 + 1.61522i) q^{45} +(-1.45931 + 4.56841i) q^{46} -9.44878i q^{47} +(1.66124 - 0.490180i) q^{48} +(1.79898 - 12.5122i) q^{49} +(-0.909632 - 0.415415i) q^{50} +(5.53307 - 0.00734397i) q^{51} +(-2.18662 - 4.78802i) q^{52} +(0.843386 + 0.973319i) q^{53} +(-3.94051 - 3.38709i) q^{54} +(2.47161 + 0.725729i) q^{55} +(2.90221 - 3.34933i) q^{56} +(-3.76058 + 3.26731i) q^{57} +(-2.26471 - 1.45544i) q^{58} +(5.85202 + 5.07080i) q^{59} +(1.45834 + 0.934483i) q^{60} +(-3.49755 + 0.502871i) q^{61} +(-4.70276 + 4.07497i) q^{62} +(-13.1651 - 1.85719i) q^{63} +(0.959493 - 0.281733i) q^{64} +(2.18662 - 4.78802i) q^{65} +(-4.06094 - 1.84806i) q^{66} +(-1.36405 - 2.12251i) q^{67} +3.19452 q^{68} +(8.02027 - 2.16223i) q^{69} +4.43180 q^{70} +(7.57539 + 11.7875i) q^{71} +(-2.27246 - 1.95856i) q^{72} +(6.91362 - 15.1387i) q^{73} +(-7.85434 + 2.30624i) q^{74} +(0.248772 + 1.71409i) q^{75} +(-2.17367 + 1.88350i) q^{76} +(-11.2999 + 1.62468i) q^{77} +(-4.91883 + 7.67623i) q^{78} +(9.92394 + 8.59914i) q^{79} +(0.841254 + 0.540641i) q^{80} +(-1.23352 + 8.91507i) q^{81} +(-2.73822 + 3.16008i) q^{82} +(-14.6519 - 4.30219i) q^{83} +(-7.59942 - 1.08234i) q^{84} +(2.09197 + 2.41426i) q^{85} +(2.49053 + 5.45350i) q^{86} +(0.00618887 + 4.66280i) q^{87} +(-2.34317 - 1.07009i) q^{88} +(-1.35665 + 9.43573i) q^{89} +(-0.00796371 - 2.99999i) q^{90} +23.3276i q^{91} +(4.63216 - 1.24222i) q^{92} +(10.3454 + 3.02277i) q^{93} +(-7.94882 + 5.10840i) q^{94} +(-2.84691 - 0.409323i) q^{95} +(-1.31050 - 1.13251i) q^{96} +(-2.78804 - 9.49521i) q^{97} +(-11.4985 + 5.25121i) q^{98} +(1.12009 + 7.64625i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160q + 16q^{4} - 16q^{5} - 2q^{6} + 42q^{9} + O(q^{10}) \) \( 160q + 16q^{4} - 16q^{5} - 2q^{6} + 42q^{9} - 12q^{11} - 12q^{14} - 16q^{16} - 8q^{18} + 16q^{20} + 62q^{21} + 4q^{23} + 2q^{24} - 16q^{25} + 42q^{27} - 2q^{30} - 4q^{31} + 16q^{33} + 2q^{36} + 72q^{38} - 124q^{39} + 44q^{41} + 44q^{43} + 12q^{44} - 2q^{45} + 4q^{46} + 70q^{49} - 2q^{51} - 52q^{53} + 92q^{54} + 10q^{55} - 54q^{56} - 38q^{57} - 36q^{58} - 44q^{61} - 220q^{63} + 16q^{64} - 34q^{66} - 44q^{67} + 22q^{69} - 12q^{70} - 36q^{72} - 28q^{73} - 24q^{74} - 88q^{77} - 54q^{78} - 44q^{79} - 16q^{80} - 66q^{81} - 28q^{82} + 4q^{83} - 18q^{84} + 158q^{86} - 64q^{87} + 80q^{89} - 8q^{90} - 4q^{92} + 4q^{93} + 24q^{94} - 2q^{96} - 88q^{98} + 190q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.540641 0.841254i −0.382291 0.594856i
\(3\) −0.717428 + 1.57648i −0.414207 + 0.910183i
\(4\) −0.415415 + 0.909632i −0.207708 + 0.454816i
\(5\) −0.959493 + 0.281733i −0.429098 + 0.125995i
\(6\) 1.71409 0.248772i 0.699775 0.101561i
\(7\) 3.34933 2.90221i 1.26593 1.09693i 0.275156 0.961400i \(-0.411271\pi\)
0.990773 0.135534i \(-0.0432749\pi\)
\(8\) 0.989821 0.142315i 0.349955 0.0503159i
\(9\) −1.97059 2.26203i −0.656865 0.754009i
\(10\) 0.755750 + 0.654861i 0.238989 + 0.207085i
\(11\) −2.16703 1.39266i −0.653383 0.419904i 0.171518 0.985181i \(-0.445133\pi\)
−0.824901 + 0.565277i \(0.808769\pi\)
\(12\) −1.13599 1.30749i −0.327932 0.377440i
\(13\) −3.44698 + 3.97803i −0.956021 + 1.10331i 0.0385507 + 0.999257i \(0.487726\pi\)
−0.994572 + 0.104051i \(0.966820\pi\)
\(14\) −4.25228 1.24858i −1.13647 0.333698i
\(15\) 0.244221 1.71475i 0.0630575 0.442746i
\(16\) −0.654861 0.755750i −0.163715 0.188937i
\(17\) −1.32705 2.90584i −0.321857 0.704770i 0.677674 0.735362i \(-0.262988\pi\)
−0.999532 + 0.0305925i \(0.990261\pi\)
\(18\) −0.837554 + 2.88071i −0.197413 + 0.678990i
\(19\) 2.61627 + 1.19481i 0.600213 + 0.274108i 0.692262 0.721646i \(-0.256614\pi\)
−0.0920489 + 0.995754i \(0.529342\pi\)
\(20\) 0.142315 0.989821i 0.0318226 0.221331i
\(21\) 2.17238 + 7.36229i 0.474053 + 1.60658i
\(22\) 2.57595i 0.549194i
\(23\) −3.05423 3.69752i −0.636851 0.770987i
\(24\) −0.485769 + 1.66254i −0.0991572 + 0.339364i
\(25\) 0.841254 0.540641i 0.168251 0.108128i
\(26\) 5.21011 + 0.749101i 1.02179 + 0.146911i
\(27\) 4.97980 1.48377i 0.958364 0.285551i
\(28\) 1.24858 + 4.25228i 0.235960 + 0.803606i
\(29\) 2.44879 1.11833i 0.454729 0.207668i −0.174864 0.984593i \(-0.555949\pi\)
0.629594 + 0.776925i \(0.283221\pi\)
\(30\) −1.57457 + 0.721610i −0.287476 + 0.131747i
\(31\) −0.885575 6.15931i −0.159054 1.10624i −0.900382 0.435101i \(-0.856713\pi\)
0.741328 0.671143i \(-0.234196\pi\)
\(32\) −0.281733 + 0.959493i −0.0498038 + 0.169616i
\(33\) 3.75020 2.41714i 0.652825 0.420771i
\(34\) −1.72709 + 2.68740i −0.296193 + 0.460886i
\(35\) −2.39601 + 3.72827i −0.405000 + 0.630192i
\(36\) 2.87623 0.852836i 0.479371 0.142139i
\(37\) 2.30624 7.85434i 0.379144 1.29124i −0.520216 0.854035i \(-0.674148\pi\)
0.899359 0.437210i \(-0.144033\pi\)
\(38\) −0.409323 2.84691i −0.0664010 0.461829i
\(39\) −3.79833 8.28806i −0.608220 1.32715i
\(40\) −0.909632 + 0.415415i −0.143825 + 0.0656829i
\(41\) −1.17803 4.01201i −0.183978 0.626570i −0.998895 0.0469935i \(-0.985036\pi\)
0.814918 0.579577i \(-0.196782\pi\)
\(42\) 5.01908 5.80788i 0.774460 0.896175i
\(43\) −5.93426 0.853218i −0.904966 0.130114i −0.325909 0.945401i \(-0.605670\pi\)
−0.579057 + 0.815287i \(0.696579\pi\)
\(44\) 2.16703 1.39266i 0.326692 0.209952i
\(45\) 2.52806 + 1.61522i 0.376861 + 0.240782i
\(46\) −1.45931 + 4.56841i −0.215164 + 0.673576i
\(47\) 9.44878i 1.37825i −0.724644 0.689123i \(-0.757996\pi\)
0.724644 0.689123i \(-0.242004\pi\)
\(48\) 1.66124 0.490180i 0.239780 0.0707515i
\(49\) 1.79898 12.5122i 0.256998 1.78746i
\(50\) −0.909632 0.415415i −0.128641 0.0587486i
\(51\) 5.53307 0.00734397i 0.774785 0.00102836i
\(52\) −2.18662 4.78802i −0.303229 0.663979i
\(53\) 0.843386 + 0.973319i 0.115848 + 0.133696i 0.810711 0.585446i \(-0.199081\pi\)
−0.694863 + 0.719142i \(0.744535\pi\)
\(54\) −3.94051 3.38709i −0.536235 0.460925i
\(55\) 2.47161 + 0.725729i 0.333271 + 0.0978573i
\(56\) 2.90221 3.34933i 0.387825 0.447573i
\(57\) −3.76058 + 3.26731i −0.498101 + 0.432766i
\(58\) −2.26471 1.45544i −0.297371 0.191109i
\(59\) 5.85202 + 5.07080i 0.761868 + 0.660162i 0.946521 0.322642i \(-0.104571\pi\)
−0.184654 + 0.982804i \(0.559116\pi\)
\(60\) 1.45834 + 0.934483i 0.188270 + 0.120641i
\(61\) −3.49755 + 0.502871i −0.447815 + 0.0643861i −0.362533 0.931971i \(-0.618088\pi\)
−0.0852816 + 0.996357i \(0.527179\pi\)
\(62\) −4.70276 + 4.07497i −0.597251 + 0.517521i
\(63\) −13.1651 1.85719i −1.65864 0.233984i
\(64\) 0.959493 0.281733i 0.119937 0.0352166i
\(65\) 2.18662 4.78802i 0.271216 0.593881i
\(66\) −4.06094 1.84806i −0.499867 0.227480i
\(67\) −1.36405 2.12251i −0.166645 0.259305i 0.747880 0.663834i \(-0.231072\pi\)
−0.914525 + 0.404529i \(0.867436\pi\)
\(68\) 3.19452 0.387393
\(69\) 8.02027 2.16223i 0.965527 0.260302i
\(70\) 4.43180 0.529702
\(71\) 7.57539 + 11.7875i 0.899034 + 1.39892i 0.916914 + 0.399084i \(0.130672\pi\)
−0.0178804 + 0.999840i \(0.505692\pi\)
\(72\) −2.27246 1.95856i −0.267811 0.230818i
\(73\) 6.91362 15.1387i 0.809177 1.77185i 0.198273 0.980147i \(-0.436467\pi\)
0.610904 0.791705i \(-0.290806\pi\)
\(74\) −7.85434 + 2.30624i −0.913048 + 0.268095i
\(75\) 0.248772 + 1.71409i 0.0287257 + 0.197926i
\(76\) −2.17367 + 1.88350i −0.249337 + 0.216052i
\(77\) −11.2999 + 1.62468i −1.28774 + 0.185150i
\(78\) −4.91883 + 7.67623i −0.556947 + 0.869161i
\(79\) 9.92394 + 8.59914i 1.11653 + 0.967479i 0.999670 0.0256696i \(-0.00817179\pi\)
0.116860 + 0.993148i \(0.462717\pi\)
\(80\) 0.841254 + 0.540641i 0.0940550 + 0.0604455i
\(81\) −1.23352 + 8.91507i −0.137058 + 0.990563i
\(82\) −2.73822 + 3.16008i −0.302386 + 0.348972i
\(83\) −14.6519 4.30219i −1.60826 0.472226i −0.650427 0.759569i \(-0.725410\pi\)
−0.957828 + 0.287342i \(0.907228\pi\)
\(84\) −7.59942 1.08234i −0.829164 0.118093i
\(85\) 2.09197 + 2.41426i 0.226906 + 0.261863i
\(86\) 2.49053 + 5.45350i 0.268561 + 0.588066i
\(87\) 0.00618887 + 4.66280i 0.000663517 + 0.499904i
\(88\) −2.34317 1.07009i −0.249782 0.114072i
\(89\) −1.35665 + 9.43573i −0.143805 + 1.00019i 0.782295 + 0.622908i \(0.214049\pi\)
−0.926100 + 0.377278i \(0.876860\pi\)
\(90\) −0.00796371 2.99999i −0.000839448 0.316227i
\(91\) 23.3276i 2.44540i
\(92\) 4.63216 1.24222i 0.482936 0.129510i
\(93\) 10.3454 + 3.02277i 1.07277 + 0.313446i
\(94\) −7.94882 + 5.10840i −0.819858 + 0.526891i
\(95\) −2.84691 0.409323i −0.292086 0.0419957i
\(96\) −1.31050 1.13251i −0.133752 0.115587i
\(97\) −2.78804 9.49521i −0.283083 0.964092i −0.971155 0.238450i \(-0.923361\pi\)
0.688072 0.725643i \(-0.258457\pi\)
\(98\) −11.4985 + 5.25121i −1.16153 + 0.530452i
\(99\) 1.12009 + 7.64625i 0.112573 + 0.768477i
\(100\) 0.142315 + 0.989821i 0.0142315 + 0.0989821i
\(101\) 3.89748 13.2736i 0.387813 1.32077i −0.502166 0.864771i \(-0.667463\pi\)
0.889980 0.456000i \(-0.150718\pi\)
\(102\) −2.99758 4.65074i −0.296805 0.460492i
\(103\) 2.14029 3.33036i 0.210889 0.328150i −0.719653 0.694333i \(-0.755699\pi\)
0.930543 + 0.366183i \(0.119336\pi\)
\(104\) −2.84577 + 4.42810i −0.279050 + 0.434211i
\(105\) −4.15858 6.45204i −0.405836 0.629654i
\(106\) 0.362839 1.23572i 0.0352421 0.120023i
\(107\) 1.26739 + 8.81486i 0.122523 + 0.852164i 0.954682 + 0.297628i \(0.0961954\pi\)
−0.832159 + 0.554537i \(0.812895\pi\)
\(108\) −0.719004 + 5.14617i −0.0691862 + 0.495190i
\(109\) −4.69359 + 2.14349i −0.449564 + 0.205309i −0.627314 0.778767i \(-0.715846\pi\)
0.177749 + 0.984076i \(0.443118\pi\)
\(110\) −0.725729 2.47161i −0.0691956 0.235658i
\(111\) 10.7277 + 9.27067i 1.01822 + 0.879933i
\(112\) −4.38669 0.630711i −0.414503 0.0595966i
\(113\) −15.6924 + 10.0849i −1.47622 + 0.948709i −0.478726 + 0.877965i \(0.658901\pi\)
−0.997494 + 0.0707446i \(0.977462\pi\)
\(114\) 4.78176 + 1.39716i 0.447853 + 0.130856i
\(115\) 3.97223 + 2.68727i 0.370412 + 0.250589i
\(116\) 2.69207i 0.249952i
\(117\) 15.7910 0.0419185i 1.45988 0.00387536i
\(118\) 1.10199 7.66451i 0.101446 0.705576i
\(119\) −12.8781 5.88123i −1.18053 0.539132i
\(120\) −0.00229893 1.73205i −0.000209862 0.158114i
\(121\) −1.81307 3.97007i −0.164825 0.360915i
\(122\) 2.31396 + 2.67045i 0.209496 + 0.241771i
\(123\) 7.17001 + 1.02118i 0.646498 + 0.0920768i
\(124\) 5.97059 + 1.75312i 0.536174 + 0.157435i
\(125\) −0.654861 + 0.755750i −0.0585725 + 0.0675963i
\(126\) 5.55520 + 12.0792i 0.494896 + 1.07610i
\(127\) −4.37295 2.81032i −0.388037 0.249376i 0.332048 0.943263i \(-0.392261\pi\)
−0.720084 + 0.693887i \(0.755897\pi\)
\(128\) −0.755750 0.654861i −0.0667995 0.0578821i
\(129\) 5.60249 8.74313i 0.493271 0.769790i
\(130\) −5.21011 + 0.749101i −0.456957 + 0.0657005i
\(131\) 14.0624 12.1852i 1.22864 1.06462i 0.232894 0.972502i \(-0.425181\pi\)
0.995748 0.0921218i \(-0.0293649\pi\)
\(132\) 0.640824 + 4.41542i 0.0557766 + 0.384313i
\(133\) 12.2303 3.59115i 1.06050 0.311392i
\(134\) −1.04810 + 2.29503i −0.0905424 + 0.198260i
\(135\) −4.36006 + 2.82664i −0.375254 + 0.243278i
\(136\) −1.72709 2.68740i −0.148097 0.230443i
\(137\) −3.40065 −0.290537 −0.145268 0.989392i \(-0.546405\pi\)
−0.145268 + 0.989392i \(0.546405\pi\)
\(138\) −6.15507 5.57809i −0.523955 0.474839i
\(139\) −0.163090 −0.0138331 −0.00691655 0.999976i \(-0.502202\pi\)
−0.00691655 + 0.999976i \(0.502202\pi\)
\(140\) −2.39601 3.72827i −0.202500 0.315096i
\(141\) 14.8958 + 6.77882i 1.25446 + 0.570880i
\(142\) 5.82075 12.7457i 0.488466 1.06959i
\(143\) 13.0098 3.82001i 1.08793 0.319446i
\(144\) −0.419060 + 2.97059i −0.0349217 + 0.247549i
\(145\) −2.03453 + 1.76293i −0.168959 + 0.146403i
\(146\) −16.4733 + 2.36850i −1.36334 + 0.196018i
\(147\) 18.4346 + 11.8127i 1.52046 + 0.974293i
\(148\) 6.18651 + 5.36064i 0.508528 + 0.440642i
\(149\) −5.85220 3.76098i −0.479431 0.308112i 0.278511 0.960433i \(-0.410159\pi\)
−0.757943 + 0.652321i \(0.773795\pi\)
\(150\) 1.30749 1.13599i 0.106756 0.0927531i
\(151\) −15.2371 + 17.5845i −1.23998 + 1.43101i −0.376655 + 0.926354i \(0.622926\pi\)
−0.863321 + 0.504655i \(0.831620\pi\)
\(152\) 2.75968 + 0.810314i 0.223839 + 0.0657252i
\(153\) −3.95800 + 8.72806i −0.319985 + 0.705621i
\(154\) 7.47596 + 8.62771i 0.602430 + 0.695241i
\(155\) 2.58498 + 5.66032i 0.207631 + 0.454648i
\(156\) 9.11697 0.0121008i 0.729942 0.000968842i
\(157\) −0.271188 0.123848i −0.0216432 0.00988411i 0.404564 0.914510i \(-0.367423\pi\)
−0.426207 + 0.904626i \(0.640151\pi\)
\(158\) 1.86877 12.9976i 0.148671 1.03403i
\(159\) −2.13949 + 0.631297i −0.169673 + 0.0500651i
\(160\) 1.00000i 0.0790569i
\(161\) −20.9606 3.52021i −1.65193 0.277431i
\(162\) 8.16672 3.78215i 0.641638 0.297153i
\(163\) −11.8745 + 7.63130i −0.930085 + 0.597729i −0.915567 0.402165i \(-0.868258\pi\)
−0.0145180 + 0.999895i \(0.504621\pi\)
\(164\) 4.13882 + 0.595073i 0.323188 + 0.0464674i
\(165\) −2.91730 + 3.37579i −0.227111 + 0.262805i
\(166\) 4.30219 + 14.6519i 0.333914 + 1.13721i
\(167\) −11.3452 + 5.18119i −0.877919 + 0.400932i −0.802804 0.596242i \(-0.796660\pi\)
−0.0751151 + 0.997175i \(0.523932\pi\)
\(168\) 3.19803 + 6.97819i 0.246734 + 0.538379i
\(169\) −2.09294 14.5567i −0.160996 1.11975i
\(170\) 0.900001 3.06512i 0.0690269 0.235084i
\(171\) −2.45291 8.27255i −0.187579 0.632617i
\(172\) 3.24129 5.04355i 0.247146 0.384567i
\(173\) 0.947452 1.47426i 0.0720334 0.112086i −0.803368 0.595483i \(-0.796961\pi\)
0.875401 + 0.483397i \(0.160597\pi\)
\(174\) 3.91925 2.52611i 0.297118 0.191504i
\(175\) 1.24858 4.25228i 0.0943840 0.321442i
\(176\) 0.366596 + 2.54973i 0.0276332 + 0.192193i
\(177\) −12.1924 + 5.58767i −0.916439 + 0.419995i
\(178\) 8.67131 3.96005i 0.649942 0.296819i
\(179\) 0.592975 + 2.01949i 0.0443210 + 0.150944i 0.978681 0.205388i \(-0.0658456\pi\)
−0.934360 + 0.356331i \(0.884027\pi\)
\(180\) −2.51945 + 1.62862i −0.187788 + 0.121390i
\(181\) 7.84539 + 1.12800i 0.583143 + 0.0838433i 0.427572 0.903981i \(-0.359369\pi\)
0.155571 + 0.987825i \(0.450278\pi\)
\(182\) 19.6245 12.6119i 1.45466 0.934854i
\(183\) 1.71647 5.87459i 0.126885 0.434262i
\(184\) −3.54936 3.22523i −0.261662 0.237767i
\(185\) 8.18592i 0.601841i
\(186\) −3.05022 10.3373i −0.223653 0.757969i
\(187\) −1.17110 + 8.14517i −0.0856392 + 0.595634i
\(188\) 8.59491 + 3.92516i 0.626848 + 0.286272i
\(189\) 12.3728 19.4221i 0.899990 1.41275i
\(190\) 1.19481 + 2.61627i 0.0866806 + 0.189804i
\(191\) 9.35325 + 10.7942i 0.676778 + 0.781043i 0.985421 0.170135i \(-0.0544203\pi\)
−0.308643 + 0.951178i \(0.599875\pi\)
\(192\) −0.244221 + 1.71475i −0.0176251 + 0.123751i
\(193\) 12.7660 + 3.74844i 0.918918 + 0.269819i 0.706790 0.707423i \(-0.250143\pi\)
0.212128 + 0.977242i \(0.431961\pi\)
\(194\) −6.48055 + 7.47895i −0.465276 + 0.536957i
\(195\) 5.97949 + 6.88222i 0.428200 + 0.492846i
\(196\) 10.6342 + 6.83417i 0.759584 + 0.488155i
\(197\) −3.69131 3.19854i −0.262995 0.227886i 0.513374 0.858165i \(-0.328395\pi\)
−0.776369 + 0.630279i \(0.782941\pi\)
\(198\) 5.82687 5.07615i 0.414097 0.360746i
\(199\) −17.1426 + 2.46473i −1.21521 + 0.174720i −0.719950 0.694026i \(-0.755835\pi\)
−0.495257 + 0.868746i \(0.664926\pi\)
\(200\) 0.755750 0.654861i 0.0534396 0.0463056i
\(201\) 4.32470 0.627658i 0.305041 0.0442716i
\(202\) −13.2736 + 3.89748i −0.933926 + 0.274225i
\(203\) 4.95620 10.8526i 0.347857 0.761701i
\(204\) −2.29184 + 5.03611i −0.160461 + 0.352598i
\(205\) 2.26063 + 3.51760i 0.157889 + 0.245680i
\(206\) −3.95881 −0.275823
\(207\) −2.34524 + 14.1951i −0.163006 + 0.986625i
\(208\) 5.26369 0.364971
\(209\) −4.00555 6.23277i −0.277070 0.431129i
\(210\) −3.17950 + 6.98666i −0.219406 + 0.482125i
\(211\) 3.79743 8.31520i 0.261426 0.572442i −0.732715 0.680535i \(-0.761747\pi\)
0.994141 + 0.108093i \(0.0344745\pi\)
\(212\) −1.23572 + 0.362839i −0.0848694 + 0.0249199i
\(213\) −24.0177 + 3.48576i −1.64566 + 0.238840i
\(214\) 6.73033 5.83186i 0.460076 0.398658i
\(215\) 5.93426 0.853218i 0.404713 0.0581890i
\(216\) 4.71795 2.17736i 0.321016 0.148151i
\(217\) −20.8417 18.0594i −1.41483 1.22596i
\(218\) 4.34076 + 2.78964i 0.293994 + 0.188938i
\(219\) 18.9059 + 21.7601i 1.27754 + 1.47041i
\(220\) −1.68689 + 1.94677i −0.113730 + 0.131251i
\(221\) 16.1338 + 4.73733i 1.08528 + 0.318667i
\(222\) 1.99917 14.0368i 0.134176 0.942087i
\(223\) 13.6758 + 15.7827i 0.915796 + 1.05689i 0.998181 + 0.0602846i \(0.0192008\pi\)
−0.0823850 + 0.996601i \(0.526254\pi\)
\(224\) 1.84104 + 4.03131i 0.123009 + 0.269353i
\(225\) −2.88071 0.837554i −0.192047 0.0558369i
\(226\) 16.9679 + 7.74900i 1.12869 + 0.515456i
\(227\) −3.69776 + 25.7185i −0.245429 + 1.70700i 0.378570 + 0.925572i \(0.376416\pi\)
−0.624000 + 0.781425i \(0.714493\pi\)
\(228\) −1.40985 4.77803i −0.0933695 0.316433i
\(229\) 0.417866i 0.0276134i −0.999905 0.0138067i \(-0.995605\pi\)
0.999905 0.0138067i \(-0.00439495\pi\)
\(230\) 0.113129 4.79450i 0.00745953 0.316140i
\(231\) 5.54559 18.9797i 0.364873 1.24877i
\(232\) 2.26471 1.45544i 0.148686 0.0955545i
\(233\) 22.1892 + 3.19033i 1.45366 + 0.209005i 0.823438 0.567406i \(-0.192053\pi\)
0.630226 + 0.776412i \(0.282962\pi\)
\(234\) −8.57253 13.2616i −0.560404 0.866937i
\(235\) 2.66203 + 9.06604i 0.173652 + 0.591403i
\(236\) −7.04358 + 3.21669i −0.458498 + 0.209389i
\(237\) −20.6761 + 9.47565i −1.34306 + 0.615509i
\(238\) 2.01482 + 14.0134i 0.130601 + 0.908353i
\(239\) −6.36863 + 21.6896i −0.411952 + 1.40298i 0.448652 + 0.893707i \(0.351904\pi\)
−0.860604 + 0.509274i \(0.829914\pi\)
\(240\) −1.45585 + 0.938351i −0.0939747 + 0.0605703i
\(241\) 1.97912 3.07957i 0.127486 0.198372i −0.771643 0.636056i \(-0.780565\pi\)
0.899129 + 0.437684i \(0.144201\pi\)
\(242\) −2.35962 + 3.67163i −0.151682 + 0.236022i
\(243\) −13.1695 8.34054i −0.844823 0.535046i
\(244\) 0.995505 3.39038i 0.0637307 0.217047i
\(245\) 1.79898 + 12.5122i 0.114933 + 0.799375i
\(246\) −3.01733 6.58389i −0.192378 0.419774i
\(247\) −13.7712 + 6.28911i −0.876242 + 0.400166i
\(248\) −1.75312 5.97059i −0.111323 0.379133i
\(249\) 17.2940 20.0120i 1.09596 1.26821i
\(250\) 0.989821 + 0.142315i 0.0626018 + 0.00900078i
\(251\) −0.728332 + 0.468071i −0.0459719 + 0.0295444i −0.563425 0.826167i \(-0.690517\pi\)
0.517453 + 0.855712i \(0.326880\pi\)
\(252\) 7.15832 11.2038i 0.450932 0.705776i
\(253\) 1.46919 + 12.2661i 0.0923674 + 0.771166i
\(254\) 5.19814i 0.326160i
\(255\) −5.30687 + 1.56589i −0.332329 + 0.0980600i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) 12.1419 + 5.54503i 0.757393 + 0.345890i 0.756400 0.654110i \(-0.226957\pi\)
0.000993113 1.00000i \(0.499684\pi\)
\(258\) −10.3841 + 0.0137827i −0.646487 + 0.000858074i
\(259\) −15.0706 33.0000i −0.936441 2.05052i
\(260\) 3.44698 + 3.97803i 0.213773 + 0.246707i
\(261\) −7.35526 3.33547i −0.455279 0.206460i
\(262\) −17.8536 5.24228i −1.10300 0.323869i
\(263\) 6.43138 7.42221i 0.396576 0.457673i −0.521984 0.852955i \(-0.674808\pi\)
0.918560 + 0.395283i \(0.129353\pi\)
\(264\) 3.36803 2.92625i 0.207288 0.180098i
\(265\) −1.08344 0.696284i −0.0665551 0.0427724i
\(266\) −9.63329 8.34729i −0.590655 0.511805i
\(267\) −13.9020 8.90820i −0.850787 0.545173i
\(268\) 2.49735 0.359064i 0.152550 0.0219333i
\(269\) 15.8033 13.6936i 0.963544 0.834916i −0.0227787 0.999741i \(-0.507251\pi\)
0.986323 + 0.164825i \(0.0527058\pi\)
\(270\) 4.73514 + 2.13972i 0.288172 + 0.130219i
\(271\) 8.81469 2.58823i 0.535455 0.157224i −0.00281554 0.999996i \(-0.500896\pi\)
0.538270 + 0.842772i \(0.319078\pi\)
\(272\) −1.32705 + 2.90584i −0.0804644 + 0.176192i
\(273\) −36.7756 16.7359i −2.22576 1.01290i
\(274\) 1.83853 + 2.86081i 0.111070 + 0.172828i
\(275\) −2.57595 −0.155336
\(276\) −1.36490 + 8.19372i −0.0821576 + 0.493204i
\(277\) −3.19390 −0.191903 −0.0959513 0.995386i \(-0.530589\pi\)
−0.0959513 + 0.995386i \(0.530589\pi\)
\(278\) 0.0881730 + 0.137200i 0.00528827 + 0.00822870i
\(279\) −12.1874 + 14.1407i −0.729641 + 0.846581i
\(280\) −1.84104 + 4.03131i −0.110023 + 0.240917i
\(281\) −9.90310 + 2.90781i −0.590769 + 0.173466i −0.563434 0.826161i \(-0.690520\pi\)
−0.0273349 + 0.999626i \(0.508702\pi\)
\(282\) −2.35059 16.1961i −0.139976 0.964463i
\(283\) 7.11985 6.16939i 0.423231 0.366732i −0.417049 0.908884i \(-0.636936\pi\)
0.840281 + 0.542152i \(0.182390\pi\)
\(284\) −13.8693 + 1.99410i −0.822989 + 0.118328i
\(285\) 2.68774 4.19444i 0.159208 0.248457i
\(286\) −10.2472 8.87926i −0.605930 0.525042i
\(287\) −15.5893 10.0186i −0.920209 0.591382i
\(288\) 2.72558 1.25348i 0.160606 0.0738623i
\(289\) 4.44980 5.13534i 0.261753 0.302079i
\(290\) 2.58302 + 0.758444i 0.151680 + 0.0445374i
\(291\) 16.9692 + 2.41683i 0.994755 + 0.141677i
\(292\) 10.8986 + 12.5777i 0.637794 + 0.736054i
\(293\) 2.07097 + 4.53480i 0.120988 + 0.264926i 0.960429 0.278524i \(-0.0898451\pi\)
−0.839442 + 0.543450i \(0.817118\pi\)
\(294\) −0.0290604 21.8946i −0.00169484 1.27692i
\(295\) −7.04358 3.21669i −0.410093 0.187283i
\(296\) 1.16498 8.10260i 0.0677130 0.470954i
\(297\) −12.8578 3.71983i −0.746083 0.215846i
\(298\) 6.95653i 0.402981i
\(299\) 25.2367 + 0.595478i 1.45948 + 0.0344374i
\(300\) −1.66254 0.485769i −0.0959866 0.0280459i
\(301\) −22.3520 + 14.3648i −1.28835 + 0.827972i
\(302\) 23.0308 + 3.31133i 1.32528 + 0.190546i
\(303\) 18.1294 + 15.6671i 1.04151 + 0.900054i
\(304\) −0.810314 2.75968i −0.0464747 0.158278i
\(305\) 3.21420 1.46787i 0.184044 0.0840502i
\(306\) 9.48236 1.38906i 0.542071 0.0794073i
\(307\) −0.935240 6.50474i −0.0533770 0.371245i −0.998949 0.0458326i \(-0.985406\pi\)
0.945572 0.325413i \(-0.105503\pi\)
\(308\) 3.21629 10.9537i 0.183265 0.624143i
\(309\) 3.71475 + 5.76343i 0.211325 + 0.327870i
\(310\) 3.36422 5.23482i 0.191075 0.297318i
\(311\) 7.81798 12.1650i 0.443317 0.689815i −0.545640 0.838020i \(-0.683713\pi\)
0.988957 + 0.148205i \(0.0473496\pi\)
\(312\) −4.93919 7.66314i −0.279626 0.433840i
\(313\) 5.99544 20.4186i 0.338882 1.15413i −0.597125 0.802148i \(-0.703691\pi\)
0.936008 0.351979i \(-0.114491\pi\)
\(314\) 0.0424283 + 0.295095i 0.00239437 + 0.0166532i
\(315\) 13.1550 1.92706i 0.741201 0.108578i
\(316\) −11.9446 + 5.45492i −0.671937 + 0.306863i
\(317\) −2.61178 8.89490i −0.146692 0.499587i 0.853061 0.521811i \(-0.174743\pi\)
−0.999753 + 0.0222240i \(0.992925\pi\)
\(318\) 1.68778 + 1.45855i 0.0946458 + 0.0817913i
\(319\) −6.86405 0.986902i −0.384313 0.0552559i
\(320\) −0.841254 + 0.540641i −0.0470275 + 0.0302227i
\(321\) −14.8057 4.32602i −0.826375 0.241455i
\(322\) 8.37079 + 19.5364i 0.466486 + 1.08872i
\(323\) 9.18803i 0.511235i
\(324\) −7.59701 4.82550i −0.422056 0.268083i
\(325\) −0.749101 + 5.21011i −0.0415527 + 0.289005i
\(326\) 12.8397 + 5.86370i 0.711126 + 0.324760i
\(327\) −0.0118622 8.93716i −0.000655980 0.494226i
\(328\) −1.73701 3.80352i −0.0959103 0.210014i
\(329\) −27.4224 31.6471i −1.51184 1.74476i
\(330\) 4.41710 + 0.629101i 0.243153 + 0.0346308i
\(331\) −14.7539 4.33215i −0.810950 0.238116i −0.150135 0.988665i \(-0.547971\pi\)
−0.660815 + 0.750549i \(0.729789\pi\)
\(332\) 10.0000 11.5406i 0.548823 0.633375i
\(333\) −22.3114 + 10.2609i −1.22266 + 0.562295i
\(334\) 10.4924 + 6.74304i 0.574118 + 0.368963i
\(335\) 1.90678 + 1.65223i 0.104178 + 0.0902711i
\(336\) 4.14144 6.46305i 0.225934 0.352588i
\(337\) 6.57668 0.945584i 0.358255 0.0515092i 0.0391623 0.999233i \(-0.487531\pi\)
0.319092 + 0.947724i \(0.396622\pi\)
\(338\) −11.1144 + 9.63066i −0.604543 + 0.523839i
\(339\) −4.64050 31.9741i −0.252037 1.73659i
\(340\) −3.06512 + 0.900001i −0.166230 + 0.0488094i
\(341\) −6.65878 + 14.5807i −0.360593 + 0.789589i
\(342\) −5.63317 + 6.53600i −0.304607 + 0.353426i
\(343\) −13.5156 21.0307i −0.729773 1.13555i
\(344\) −5.99528 −0.323244
\(345\) −7.08622 + 4.33422i −0.381509 + 0.233347i
\(346\) −1.75246 −0.0942129
\(347\) −14.0907 21.9256i −0.756429 1.17703i −0.979346 0.202189i \(-0.935194\pi\)
0.222917 0.974837i \(-0.428442\pi\)
\(348\) −4.24400 1.93137i −0.227502 0.103532i
\(349\) −10.4303 + 22.8391i −0.558319 + 1.22255i 0.394468 + 0.918910i \(0.370929\pi\)
−0.952787 + 0.303639i \(0.901798\pi\)
\(350\) −4.25228 + 1.24858i −0.227294 + 0.0667396i
\(351\) −11.2628 + 24.9243i −0.601166 + 1.33036i
\(352\) 1.94677 1.68689i 0.103763 0.0899115i
\(353\) −2.08375 + 0.299597i −0.110907 + 0.0159460i −0.197545 0.980294i \(-0.563297\pi\)
0.0866380 + 0.996240i \(0.472388\pi\)
\(354\) 11.2924 + 7.23600i 0.600183 + 0.384589i
\(355\) −10.5895 9.17583i −0.562031 0.487003i
\(356\) −8.01947 5.15380i −0.425031 0.273151i
\(357\) 18.5108 16.0827i 0.979694 0.851189i
\(358\) 1.37831 1.59066i 0.0728462 0.0840689i
\(359\) 12.1157 + 3.55748i 0.639440 + 0.187757i 0.585352 0.810780i \(-0.300956\pi\)
0.0540886 + 0.998536i \(0.482775\pi\)
\(360\) 2.73219 + 1.23900i 0.143999 + 0.0653009i
\(361\) −7.02507 8.10736i −0.369740 0.426703i
\(362\) −3.29261 7.20980i −0.173056 0.378939i
\(363\) 7.55949 0.0100336i 0.396771 0.000526628i
\(364\) −21.2196 9.69065i −1.11221 0.507928i
\(365\) −2.36850 + 16.4733i −0.123973 + 0.862250i
\(366\) −5.87002 + 1.73206i −0.306831 + 0.0905361i
\(367\) 16.7235i 0.872961i 0.899714 + 0.436480i \(0.143775\pi\)
−0.899714 + 0.436480i \(0.856225\pi\)
\(368\) −0.794306 + 4.72960i −0.0414061 + 0.246547i
\(369\) −6.75384 + 10.5708i −0.351591 + 0.550293i
\(370\) 6.88644 4.42564i 0.358009 0.230078i
\(371\) 5.64956 + 0.812284i 0.293311 + 0.0421717i
\(372\) −7.04723 + 8.15478i −0.365382 + 0.422806i
\(373\) −1.17430 3.99930i −0.0608030 0.207076i 0.923489 0.383625i \(-0.125325\pi\)
−0.984292 + 0.176549i \(0.943506\pi\)
\(374\) 7.48530 3.41842i 0.387056 0.176762i
\(375\) −0.721610 1.57457i −0.0372638 0.0813106i
\(376\) −1.34470 9.35260i −0.0693477 0.482324i
\(377\) −3.99221 + 13.5962i −0.205609 + 0.700241i
\(378\) −23.0281 + 0.0916952i −1.18444 + 0.00471629i
\(379\) −1.36559 + 2.12490i −0.0701457 + 0.109149i −0.874554 0.484928i \(-0.838846\pi\)
0.804409 + 0.594076i \(0.202482\pi\)
\(380\) 1.55498 2.41960i 0.0797689 0.124123i
\(381\) 7.56771 4.87767i 0.387705 0.249891i
\(382\) 4.02393 13.7043i 0.205882 0.701171i
\(383\) −1.28941 8.96806i −0.0658859 0.458246i −0.995881 0.0906736i \(-0.971098\pi\)
0.929995 0.367573i \(-0.119811\pi\)
\(384\) 1.57457 0.721610i 0.0803521 0.0368245i
\(385\) 10.3845 4.74242i 0.529241 0.241696i
\(386\) −3.74844 12.7660i −0.190791 0.649773i
\(387\) 9.76401 + 15.1048i 0.496333 + 0.767820i
\(388\) 9.79534 + 1.40836i 0.497283 + 0.0714985i
\(389\) −4.91737 + 3.16020i −0.249321 + 0.160229i −0.659332 0.751852i \(-0.729161\pi\)
0.410012 + 0.912080i \(0.365525\pi\)
\(390\) 2.55694 8.75108i 0.129476 0.443128i
\(391\) −6.69128 + 13.7819i −0.338393 + 0.696981i
\(392\) 12.6409i 0.638460i
\(393\) 9.12093 + 30.9112i 0.460090 + 1.55926i
\(394\) −0.695108 + 4.83458i −0.0350190 + 0.243563i
\(395\) −11.9446 5.45492i −0.600998 0.274467i
\(396\) −7.42057 2.15750i −0.372898 0.108418i
\(397\) −6.45533 14.1352i −0.323984 0.709426i 0.675629 0.737242i \(-0.263872\pi\)
−0.999613 + 0.0278158i \(0.991145\pi\)
\(398\) 11.3415 + 13.0887i 0.568496 + 0.656079i
\(399\) −3.11300 + 21.8573i −0.155845 + 1.09423i
\(400\) −0.959493 0.281733i −0.0479746 0.0140866i
\(401\) 4.77758 5.51362i 0.238581 0.275337i −0.623814 0.781573i \(-0.714418\pi\)
0.862395 + 0.506235i \(0.168963\pi\)
\(402\) −2.86613 3.29883i −0.142950 0.164531i
\(403\) 27.5545 + 17.7082i 1.37259 + 0.882108i
\(404\) 10.4550 + 9.05932i 0.520156 + 0.450718i
\(405\) −1.32811 8.90147i −0.0659944 0.442317i
\(406\) −11.8093 + 1.69792i −0.586085 + 0.0842663i
\(407\) −15.9361 + 13.8087i −0.789925 + 0.684474i
\(408\) 5.47571 0.794707i 0.271088 0.0393439i
\(409\) −5.98610 + 1.75768i −0.295993 + 0.0869115i −0.426358 0.904555i \(-0.640204\pi\)
0.130364 + 0.991466i \(0.458385\pi\)
\(410\) 1.73701 3.80352i 0.0857848 0.187842i
\(411\) 2.43972 5.36106i 0.120342 0.264442i
\(412\) 2.14029 + 3.33036i 0.105445 + 0.164075i
\(413\) 34.3169 1.68862
\(414\) 13.2096 5.70149i 0.649216 0.280213i
\(415\) 15.2705 0.749598
\(416\) −2.84577 4.42810i −0.139525 0.217105i
\(417\) 0.117005 0.257108i 0.00572977 0.0125906i
\(418\) −3.07777 + 6.73937i −0.150539 + 0.329634i
\(419\) 24.9609 7.32919i 1.21942 0.358054i 0.392173 0.919892i \(-0.371723\pi\)
0.827248 + 0.561837i \(0.189905\pi\)
\(420\) 7.59652 1.10251i 0.370672 0.0537969i
\(421\) −10.7182 + 9.28734i −0.522371 + 0.452637i −0.875696 0.482864i \(-0.839597\pi\)
0.353324 + 0.935501i \(0.385051\pi\)
\(422\) −9.04824 + 1.30094i −0.440461 + 0.0633288i
\(423\) −21.3734 + 18.6197i −1.03921 + 0.905321i
\(424\) 0.973319 + 0.843386i 0.0472686 + 0.0409584i
\(425\) −2.68740 1.72709i −0.130358 0.0837761i
\(426\) 15.9173 + 18.3204i 0.771197 + 0.887626i
\(427\) −10.2550 + 11.8349i −0.496274 + 0.572731i
\(428\) −8.54477 2.50897i −0.413027 0.121276i
\(429\) −3.31139 + 23.2503i −0.159875 + 1.12253i
\(430\) −3.92608 4.53093i −0.189332 0.218501i
\(431\) −1.98204 4.34006i −0.0954715 0.209053i 0.855871 0.517190i \(-0.173022\pi\)
−0.951342 + 0.308137i \(0.900295\pi\)
\(432\) −4.38243 2.79182i −0.210850 0.134322i
\(433\) 4.01680 + 1.83441i 0.193035 + 0.0881563i 0.509588 0.860419i \(-0.329798\pi\)
−0.316552 + 0.948575i \(0.602525\pi\)
\(434\) −3.92469 + 27.2968i −0.188391 + 1.31029i
\(435\) −1.31960 4.47218i −0.0632700 0.214425i
\(436\) 5.15988i 0.247113i
\(437\) −3.57285 13.3229i −0.170912 0.637322i
\(438\) 8.08449 27.6691i 0.386292 1.32208i
\(439\) −0.448973 + 0.288538i −0.0214283 + 0.0137712i −0.551311 0.834300i \(-0.685872\pi\)
0.529883 + 0.848071i \(0.322236\pi\)
\(440\) 2.54973 + 0.366596i 0.121554 + 0.0174768i
\(441\) −31.8480 + 20.5871i −1.51657 + 0.980339i
\(442\) −4.73733 16.1338i −0.225332 0.767409i
\(443\) 12.3197 5.62621i 0.585326 0.267309i −0.100664 0.994920i \(-0.532097\pi\)
0.685990 + 0.727611i \(0.259369\pi\)
\(444\) −12.8893 + 5.90705i −0.611700 + 0.280336i
\(445\) −1.35665 9.43573i −0.0643116 0.447297i
\(446\) 5.88355 20.0375i 0.278594 0.948804i
\(447\) 10.1277 6.52766i 0.479022 0.308748i
\(448\) 2.39601 3.72827i 0.113201 0.176144i
\(449\) 17.5861 27.3645i 0.829939 1.29141i −0.124263 0.992249i \(-0.539657\pi\)
0.954202 0.299162i \(-0.0967070\pi\)
\(450\) 0.852836 + 2.87623i 0.0402031 + 0.135587i
\(451\) −3.03455 + 10.3347i −0.142891 + 0.486644i
\(452\) −2.65469 18.4638i −0.124866 0.868463i
\(453\) −16.7902 36.6366i −0.788872 1.72134i
\(454\) 23.6349 10.7937i 1.10924 0.506574i
\(455\) −6.57215 22.3827i −0.308107 1.04932i
\(456\) −3.25732 + 3.76924i −0.152538 + 0.176511i
\(457\) 22.8831 + 3.29009i 1.07043 + 0.153904i 0.654929 0.755690i \(-0.272699\pi\)
0.415497 + 0.909594i \(0.363608\pi\)
\(458\) −0.351531 + 0.225916i −0.0164260 + 0.0105563i
\(459\) −10.9200 12.5015i −0.509704 0.583519i
\(460\) −4.09455 + 2.49693i −0.190909 + 0.116420i
\(461\) 13.8486i 0.644994i 0.946570 + 0.322497i \(0.104522\pi\)
−0.946570 + 0.322497i \(0.895478\pi\)
\(462\) −18.9649 + 5.59595i −0.882327 + 0.260347i
\(463\) 3.40923 23.7117i 0.158440 1.10198i −0.743069 0.669215i \(-0.766630\pi\)
0.901509 0.432761i \(-0.142460\pi\)
\(464\) −2.44879 1.11833i −0.113682 0.0519170i
\(465\) −10.7779 + 0.0143054i −0.499815 + 0.000663397i
\(466\) −9.31252 20.3916i −0.431394 0.944622i
\(467\) 15.7868 + 18.2190i 0.730528 + 0.843074i 0.992531 0.121993i \(-0.0389286\pi\)
−0.262003 + 0.965067i \(0.584383\pi\)
\(468\) −6.52169 + 14.3814i −0.301465 + 0.664782i
\(469\) −10.7286 3.15021i −0.495402 0.145463i
\(470\) 6.18763 7.14091i 0.285414 0.329386i
\(471\) 0.389801 0.338672i 0.0179611 0.0156052i
\(472\) 6.51410 + 4.18636i 0.299836 + 0.192693i
\(473\) 11.6715 + 10.1134i 0.536654 + 0.465013i
\(474\) 19.1498 + 12.2709i 0.879578 + 0.563622i
\(475\) 2.84691 0.409323i 0.130625 0.0187810i
\(476\) 10.6995 9.27118i 0.490411 0.424944i
\(477\) 0.539702 3.82578i 0.0247113 0.175170i
\(478\) 21.6896 6.36863i 0.992057 0.291294i
\(479\) 12.9815 28.4255i 0.593140 1.29880i −0.340386 0.940286i \(-0.610558\pi\)
0.933526 0.358510i \(-0.116715\pi\)
\(480\) 1.57648 + 0.717428i 0.0719563 + 0.0327460i
\(481\) 23.2952 + 36.2481i 1.06217 + 1.65277i
\(482\) −3.66069 −0.166740
\(483\) 20.5873 30.5186i 0.936754 1.38864i
\(484\) 4.36448 0.198385
\(485\) 5.35022 + 8.32510i 0.242941 + 0.378023i
\(486\) 0.103451 + 15.5881i 0.00469263 + 0.707091i
\(487\) −15.2926 + 33.4862i −0.692975 + 1.51740i 0.155311 + 0.987866i \(0.450362\pi\)
−0.848286 + 0.529538i \(0.822365\pi\)
\(488\) −3.39038 + 0.995505i −0.153475 + 0.0450644i
\(489\) −3.51149 24.1949i −0.158795 1.09413i
\(490\) 9.55333 8.27801i 0.431575 0.373962i
\(491\) 18.5612 2.66870i 0.837657 0.120437i 0.289882 0.957062i \(-0.406384\pi\)
0.547775 + 0.836625i \(0.315475\pi\)
\(492\) −3.90743 + 6.09786i −0.176161 + 0.274913i
\(493\) −6.49935 5.63172i −0.292716 0.253640i
\(494\) 12.7360 + 8.18494i 0.573020 + 0.368258i
\(495\) −3.22891 7.02095i −0.145129 0.315568i
\(496\) −4.07497 + 4.70276i −0.182971 + 0.211160i
\(497\) 59.5825 + 17.4950i 2.67264 + 0.784758i
\(498\) −26.1850 3.72936i −1.17338 0.167117i
\(499\) 14.6278 + 16.8814i 0.654831 + 0.755715i 0.981924 0.189277i \(-0.0606145\pi\)
−0.327093 + 0.944992i \(0.606069\pi\)
\(500\) −0.415415 0.909632i −0.0185779 0.0406800i
\(501\) −0.0286729 21.6027i −0.00128101 0.965136i
\(502\) 0.787532 + 0.359654i 0.0351493 + 0.0160521i
\(503\) 2.10185 14.6187i 0.0937171 0.651817i −0.887770 0.460288i \(-0.847746\pi\)
0.981487 0.191529i \(-0.0613446\pi\)
\(504\) −13.2954 + 0.0352936i −0.592222 + 0.00157210i
\(505\) 13.8340i 0.615603i
\(506\) 9.52464 7.86755i 0.423422 0.349755i
\(507\) 24.4500 + 7.14393i 1.08586 + 0.317273i
\(508\) 4.37295 2.81032i 0.194018 0.124688i
\(509\) −36.4957 5.24729i −1.61764 0.232582i −0.726786 0.686864i \(-0.758987\pi\)
−0.890858 + 0.454281i \(0.849896\pi\)
\(510\) 4.18642 + 3.61784i 0.185378 + 0.160201i
\(511\) −20.7798 70.7693i −0.919242 3.13065i
\(512\) 0.909632 0.415415i 0.0402004 0.0183589i
\(513\) 14.8013 + 2.06799i 0.653494 + 0.0913038i
\(514\) −1.89964 13.2123i −0.0837897 0.582770i
\(515\) −1.11533 + 3.79845i −0.0491471 + 0.167380i
\(516\) 5.62568 + 8.72823i 0.247657 + 0.384239i
\(517\) −13.1590 + 20.4758i −0.578731 + 0.900523i
\(518\) −19.6136 + 30.5193i −0.861771 + 1.34094i
\(519\) 1.64442 + 2.55132i 0.0721821 + 0.111990i
\(520\) 1.48295 5.05047i 0.0650318 0.221478i
\(521\) −2.24715 15.6293i −0.0984496 0.684732i −0.977951 0.208835i \(-0.933033\pi\)
0.879501 0.475897i \(-0.157876\pi\)
\(522\) 1.17058 + 7.99093i 0.0512349 + 0.349753i
\(523\) −3.02338 + 1.38073i −0.132203 + 0.0603752i −0.480418 0.877039i \(-0.659515\pi\)
0.348215 + 0.937415i \(0.386788\pi\)
\(524\) 5.24228 + 17.8536i 0.229010 + 0.779936i
\(525\) 5.80788 + 5.01908i 0.253477 + 0.219050i
\(526\) −9.72102 1.39767i −0.423857 0.0609414i
\(527\) −16.7228 + 10.7471i −0.728455 + 0.468149i
\(528\) −4.28261 1.25132i −0.186377 0.0544566i
\(529\) −4.34335 + 22.5862i −0.188841 + 0.982008i
\(530\) 1.28789i 0.0559422i
\(531\) −0.0616656 23.2299i −0.00267606 1.00809i
\(532\) −1.81404 + 12.6169i −0.0786486 + 0.547013i
\(533\) 20.0206 + 9.14308i 0.867186 + 0.396031i
\(534\) 0.0219151 + 16.5112i 0.000948360 + 0.714510i
\(535\) −3.69948 8.10073i −0.159942 0.350225i
\(536\) −1.65223 1.90678i −0.0713655 0.0823602i
\(537\) −3.60910 0.514022i −0.155744 0.0221817i
\(538\) −20.0637 5.89124i −0.865009 0.253990i
\(539\) −21.3237 + 24.6089i −0.918478 + 1.05998i
\(540\) −0.759963 5.14028i −0.0327036 0.221202i
\(541\) 10.8680 + 6.98445i 0.467253 + 0.300285i 0.753001 0.658020i \(-0.228606\pi\)
−0.285748 + 0.958305i \(0.592242\pi\)
\(542\) −6.94294 6.01609i −0.298225 0.258413i
\(543\) −7.40677 + 11.5589i −0.317855 + 0.496038i
\(544\) 3.16201 0.454628i 0.135570 0.0194920i
\(545\) 3.89957 3.37900i 0.167039 0.144740i
\(546\) 5.80326 + 39.9857i 0.248356 + 1.71123i
\(547\) 32.3416 9.49636i 1.38283 0.406035i 0.496076 0.868279i \(-0.334774\pi\)
0.886753 + 0.462244i \(0.152956\pi\)
\(548\) 1.41268 3.09334i 0.0603467 0.132141i
\(549\) 8.02975 + 6.92058i 0.342701 + 0.295363i
\(550\) 1.39266 + 2.16703i 0.0593834 + 0.0924024i
\(551\) 7.74288 0.329858
\(552\) 7.63092 3.28163i 0.324793 0.139675i
\(553\) 58.1951 2.47471
\(554\) 1.72675 + 2.68688i 0.0733626 + 0.114154i
\(555\) −12.9050 5.87281i −0.547785 0.249287i
\(556\) 0.0677500 0.148352i 0.00287324 0.00629152i
\(557\) −8.82273 + 2.59059i −0.373831 + 0.109767i −0.463250 0.886227i \(-0.653317\pi\)
0.0894196 + 0.995994i \(0.471499\pi\)
\(558\) 18.4849 + 2.60766i 0.782529 + 0.110391i
\(559\) 23.8494 20.6656i 1.00872 0.874064i
\(560\) 4.38669 0.630711i 0.185372 0.0266524i
\(561\) −12.0005 7.68979i −0.506663 0.324663i
\(562\) 7.80023 + 6.75893i 0.329033 + 0.285108i
\(563\) −36.5528 23.4911i −1.54052 0.990030i −0.987635 0.156770i \(-0.949892\pi\)
−0.552881 0.833260i \(-0.686472\pi\)
\(564\) −12.3542 + 10.7337i −0.520205 + 0.451970i
\(565\) 12.2155 14.0975i 0.513911 0.593085i
\(566\) −9.03930 2.65418i −0.379950 0.111563i
\(567\) 21.7420 + 33.4395i 0.913076 + 1.40433i
\(568\) 9.17583 + 10.5895i 0.385009 + 0.444324i
\(569\) 16.0986 + 35.2511i 0.674889 + 1.47780i 0.867969 + 0.496619i \(0.165425\pi\)
−0.193080 + 0.981183i \(0.561848\pi\)
\(570\) −4.98169 + 0.00661213i −0.208660 + 0.000276952i
\(571\) −26.8061 12.2419i −1.12180 0.512309i −0.233861 0.972270i \(-0.575136\pi\)
−0.887939 + 0.459961i \(0.847863\pi\)
\(572\) −1.92965 + 13.4210i −0.0806826 + 0.561160i
\(573\) −23.7272 + 7.00116i −0.991218 + 0.292477i
\(574\) 18.5311i 0.773472i
\(575\) −4.56841 1.45931i −0.190516 0.0608576i
\(576\) −2.52806 1.61522i −0.105336 0.0673007i
\(577\) 11.3421 7.28913i 0.472178 0.303450i −0.282825 0.959171i \(-0.591272\pi\)
0.755003 + 0.655721i \(0.227635\pi\)
\(578\) −6.72587 0.967034i −0.279759 0.0402233i
\(579\) −15.0680 + 17.4362i −0.626207 + 0.724622i
\(580\) −0.758444 2.58302i −0.0314927 0.107254i
\(581\) −61.5600 + 28.1135i −2.55394 + 1.16634i
\(582\) −7.14111 15.5821i −0.296008 0.645898i
\(583\) −0.472134 3.28376i −0.0195538 0.136000i
\(584\) 4.68878 15.9685i 0.194023 0.660782i
\(585\) −15.1396 + 4.48906i −0.625944 + 0.185600i
\(586\) 2.69526 4.19391i 0.111340 0.173249i
\(587\) 5.61056 8.73020i 0.231573 0.360334i −0.705948 0.708264i \(-0.749479\pi\)
0.937521 + 0.347930i \(0.113115\pi\)
\(588\) −18.4032 + 11.8616i −0.758935 + 0.489163i
\(589\) 5.04230 17.1725i 0.207764 0.707580i
\(590\) 1.10199 + 7.66451i 0.0453682 + 0.315543i
\(591\) 7.69068 3.52456i 0.316352 0.144981i
\(592\) −7.44618 + 3.40056i −0.306036 + 0.139762i
\(593\) 3.25641 + 11.0903i 0.133725 + 0.455425i 0.998943 0.0459711i \(-0.0146382\pi\)
−0.865218 + 0.501396i \(0.832820\pi\)
\(594\) 3.82211 + 12.8277i 0.156823 + 0.526328i
\(595\) 14.0134 + 2.01482i 0.574493 + 0.0825996i
\(596\) 5.85220 3.76098i 0.239716 0.154056i
\(597\) 8.41298 28.7933i 0.344320 1.17843i
\(598\) −13.1431 21.5524i −0.537460 0.881345i
\(599\) 31.1475i 1.27265i 0.771420 + 0.636326i \(0.219547\pi\)
−0.771420 + 0.636326i \(0.780453\pi\)
\(600\) 0.490180 + 1.66124i 0.0200115 + 0.0678199i
\(601\) 3.50675 24.3900i 0.143043 0.994888i −0.784221 0.620481i \(-0.786937\pi\)
0.927264 0.374407i \(-0.122154\pi\)
\(602\) 24.1688 + 11.0375i 0.985048 + 0.449856i
\(603\) −2.11317 + 7.26812i −0.0860550 + 0.295981i
\(604\) −9.66574 21.1650i −0.393293 0.861192i
\(605\) 2.85813 + 3.29845i 0.116199 + 0.134101i
\(606\) 3.37854 23.7217i 0.137244 0.963630i
\(607\) 30.2781 + 8.89045i 1.22895 + 0.360852i 0.830853 0.556492i \(-0.187853\pi\)
0.398096 + 0.917344i \(0.369671\pi\)
\(608\) −1.88350 + 2.17367i −0.0763860 + 0.0881541i
\(609\) 13.5532 + 15.5993i 0.549202 + 0.632116i
\(610\) −2.97258 1.91036i −0.120356 0.0773482i
\(611\) 37.5875 + 32.5698i 1.52063 + 1.31763i
\(612\) −6.29511 7.22609i −0.254465 0.292097i
\(613\) 0.721443 0.103728i 0.0291388 0.00418953i −0.127730 0.991809i \(-0.540769\pi\)
0.156869 + 0.987619i \(0.449860\pi\)
\(614\) −4.96651 + 4.30350i −0.200432 + 0.173675i
\(615\) −7.16728 + 1.04021i −0.289013 + 0.0419453i
\(616\) −10.9537 + 3.21629i −0.441336 + 0.129588i
\(617\) 17.2145 37.6946i 0.693031 1.51753i −0.155191 0.987884i \(-0.549599\pi\)
0.848222 0.529641i \(-0.177673\pi\)
\(618\) 2.84016 6.24099i 0.114248 0.251050i
\(619\) 20.7450 + 32.2798i 0.833810 + 1.29743i 0.952511 + 0.304504i \(0.0984907\pi\)
−0.118701 + 0.992930i \(0.537873\pi\)
\(620\) −6.22265 −0.249907
\(621\) −20.6957 13.8812i −0.830491 0.557032i
\(622\) −14.4606 −0.579817
\(623\) 22.8406 + 35.5407i 0.915090 + 1.42391i
\(624\) −3.77632 + 8.29811i −0.151174 + 0.332190i
\(625\) 0.415415 0.909632i 0.0166166 0.0363853i
\(626\) −20.4186 + 5.99544i −0.816091 + 0.239626i
\(627\) 12.6995 1.84313i 0.507171 0.0736074i
\(628\) 0.225311 0.195233i 0.00899090 0.00779066i
\(629\) −25.8839 + 3.72155i −1.03206 + 0.148388i
\(630\) −8.73328 10.0248i −0.347942 0.399400i
\(631\) −23.0945 20.0115i −0.919376 0.796644i 0.0601029 0.998192i \(-0.480857\pi\)
−0.979478 + 0.201549i \(0.935403\pi\)
\(632\) 11.0467 + 7.09929i 0.439415 + 0.282395i
\(633\) 10.3844 + 11.9521i 0.412743 + 0.475055i
\(634\) −6.07083 + 7.00611i −0.241104 + 0.278248i
\(635\) 4.98758 + 1.46448i 0.197926 + 0.0581163i
\(636\) 0.314529 2.20840i 0.0124719 0.0875687i
\(637\) 43.5729 + 50.2858i 1.72642 + 1.99239i
\(638\) 2.88075 + 6.30797i 0.114050 + 0.249735i
\(639\) 11.7357 40.3642i 0.464257 1.59678i
\(640\) 0.909632 + 0.415415i 0.0359564 + 0.0164207i
\(641\) −0.972233 + 6.76203i −0.0384009 + 0.267084i −0.999972 0.00747157i \(-0.997622\pi\)
0.961571 + 0.274556i \(0.0885308\pi\)
\(642\) 4.36530 + 14.7942i 0.172285 + 0.583880i
\(643\) 46.2747i 1.82490i 0.409193 + 0.912448i \(0.365810\pi\)
−0.409193 + 0.912448i \(0.634190\pi\)
\(644\) 11.9095 17.6041i 0.469298 0.693699i
\(645\) −2.91232 + 9.96738i −0.114673 + 0.392465i
\(646\) −7.72946 + 4.96742i −0.304112 + 0.195441i
\(647\) 4.58269 + 0.658892i 0.180164 + 0.0259037i 0.231806 0.972762i \(-0.425536\pi\)
−0.0516421 + 0.998666i \(0.516446\pi\)
\(648\) 0.0477821 + 8.99987i 0.00187706 + 0.353548i
\(649\) −5.61956 19.1385i −0.220587 0.751250i
\(650\) 4.78802 2.18662i 0.187802 0.0857661i
\(651\) 43.4228 19.9002i 1.70187 0.779952i
\(652\) −2.00881 13.9716i −0.0786712 0.547170i
\(653\) 6.67154 22.7212i 0.261078 0.889149i −0.719744 0.694240i \(-0.755741\pi\)
0.980821 0.194909i \(-0.0624412\pi\)
\(654\) −7.51200 + 4.84177i −0.293743 + 0.189328i
\(655\) −10.0599 + 15.6534i −0.393071 + 0.611631i
\(656\) −2.26063 + 3.51760i −0.0882626 + 0.137339i
\(657\) −47.8681 + 14.1935i −1.86751 + 0.553740i
\(658\) −11.7976 + 40.1789i −0.459918 + 1.56634i
\(659\) −2.08598 14.5083i −0.0812584 0.565164i −0.989257 0.146190i \(-0.953299\pi\)
0.907998 0.418974i \(-0.137610\pi\)
\(660\) −1.85883 4.05602i −0.0723550 0.157880i
\(661\) 25.5177 11.6535i 0.992523 0.453270i 0.148115 0.988970i \(-0.452680\pi\)
0.844408 + 0.535700i \(0.179952\pi\)
\(662\) 4.33215 + 14.7539i 0.168374 + 0.573428i
\(663\) −19.0432 + 22.0360i −0.739576 + 0.855809i
\(664\) −15.1150 2.17321i −0.586577 0.0843370i
\(665\) −10.7232 + 6.89137i −0.415827 + 0.267236i
\(666\) 20.6945 + 13.2220i 0.801895 + 0.512344i
\(667\) −11.6142 5.63884i −0.449704 0.218337i
\(668\) 12.4723i 0.482568i
\(669\) −34.6925 + 10.2367i −1.34129 + 0.395772i
\(670\) 0.359064 2.49735i 0.0138719 0.0964809i
\(671\) 8.27961 + 3.78117i 0.319631 + 0.145970i
\(672\) −7.67610 + 0.0101884i −0.296112 + 0.000393025i
\(673\) −2.62073 5.73861i −0.101022 0.221207i 0.852372 0.522936i \(-0.175163\pi\)
−0.953394 + 0.301729i \(0.902436\pi\)
\(674\) −4.35110 5.02143i −0.167598 0.193418i
\(675\) 3.38709 3.94051i 0.130369 0.151670i
\(676\) 14.1107 + 4.14328i 0.542720 + 0.159357i
\(677\) −16.4213 + 18.9512i −0.631122 + 0.728354i −0.977779 0.209638i \(-0.932771\pi\)
0.346657 + 0.937992i \(0.387317\pi\)
\(678\) −24.3894 + 21.1903i −0.936671 + 0.813809i
\(679\) −36.8952 23.7111i −1.41591 0.909949i
\(680\) 2.41426 + 2.09197i 0.0925826 + 0.0802233i
\(681\) −37.8919 24.2806i −1.45202 0.930436i
\(682\) 15.8661 2.28120i 0.607543 0.0873515i
\(683\) −8.41138 + 7.28850i −0.321852 + 0.278887i −0.800768 0.598974i \(-0.795575\pi\)
0.478916 + 0.877861i \(0.341030\pi\)
\(684\) 8.54395 + 1.20529i 0.326686 + 0.0460856i
\(685\) 3.26290 0.958073i 0.124669 0.0366061i
\(686\) −10.3850 + 22.7401i −0.396503 + 0.868220i
\(687\) 0.658759 + 0.299789i 0.0251332 + 0.0114377i
\(688\) 3.24129 + 5.04355i 0.123573 + 0.192284i
\(689\) −6.77903 −0.258261
\(690\) 7.47728 + 3.61805i 0.284655 + 0.137737i
\(691\) 20.5306 0.781021 0.390510 0.920599i \(-0.372299\pi\)
0.390510 + 0.920599i \(0.372299\pi\)
\(692\) 0.947452 + 1.47426i 0.0360167 + 0.0560431i
\(693\) 25.9426 + 22.3591i 0.985477 + 0.849351i
\(694\) −10.8270 + 23.7077i −0.410986 + 0.899933i
\(695\) 0.156484 0.0459477i 0.00593576 0.00174290i
\(696\) 0.669711 + 4.61446i 0.0253853 + 0.174911i
\(697\) −10.0949 + 8.74732i −0.382373 + 0.331328i
\(698\) 24.8525 3.57325i 0.940680 0.135249i
\(699\) −20.9487 + 32.6921i −0.792351 + 1.23653i
\(700\) 3.34933 + 2.90221i 0.126593 + 0.109693i
\(701\) 39.0943 + 25.1244i 1.47657 + 0.948935i 0.997464 + 0.0711794i \(0.0226763\pi\)
0.479108 + 0.877756i \(0.340960\pi\)
\(702\) 27.0568 4.00021i 1.02119 0.150978i
\(703\) 15.4182 17.7935i 0.581507 0.671095i
\(704\) −2.47161 0.725729i −0.0931522 0.0273519i
\(705\) −16.2023 2.30759i −0.610213 0.0869088i
\(706\) 1.37860 + 1.59098i 0.0518841 + 0.0598775i
\(707\) −25.4688 55.7690i −0.957854 2.09741i
\(708\) −0.0178013 13.4118i −0.000669015 0.504047i
\(709\) −3.62902 1.65732i −0.136291 0.0622418i 0.346102 0.938197i \(-0.387505\pi\)
−0.482393 + 0.875955i \(0.660232\pi\)
\(710\) −1.99410 + 13.8693i −0.0748372 + 0.520504i
\(711\) −0.104573 39.3936i −0.00392181 1.47738i
\(712\) 9.53276i 0.357255i
\(713\) −20.0694 + 22.0864i −0.751606 + 0.827141i
\(714\) −23.5373 6.87727i −0.880863 0.257375i
\(715\) −11.4066 + 7.33055i −0.426581 + 0.274147i
\(716\) −2.08332 0.299536i −0.0778573 0.0111942i
\(717\) −29.6242 25.6007i −1.10634 0.956077i
\(718\) −3.55748 12.1157i −0.132764 0.452152i
\(719\) 23.5200 10.7412i 0.877150 0.400581i 0.0746334 0.997211i \(-0.476221\pi\)
0.802516 + 0.596630i \(0.203494\pi\)
\(720\) −0.434826 2.96832i −0.0162050 0.110623i
\(721\) −2.49686 17.3661i −0.0929881 0.646747i
\(722\) −3.02231 + 10.2930i −0.112479 + 0.383067i
\(723\) 3.43501 + 5.32942i 0.127749 + 0.198203i
\(724\) −4.28516 + 6.66783i −0.159257 + 0.247808i
\(725\) 1.45544 2.26471i 0.0540538 0.0841093i
\(726\) −4.09541 6.35403i −0.151995 0.235820i
\(727\) 1.95972 6.67419i 0.0726820 0.247532i −0.915136 0.403145i \(-0.867917\pi\)
0.987818 + 0.155613i \(0.0497352\pi\)
\(728\) 3.31987 + 23.0902i 0.123042 + 0.855779i
\(729\) 22.5969 14.7777i 0.836921 0.547323i
\(730\) 15.1387 6.91362i 0.560309 0.255884i
\(731\) 5.39576 + 18.3763i 0.199569 + 0.679671i
\(732\) 4.63067 + 4.00175i 0.171155 + 0.147909i
\(733\) −46.3598 6.66553i −1.71234 0.246197i −0.784753 0.619809i \(-0.787210\pi\)
−0.927585 + 0.373612i \(0.878119\pi\)
\(734\) 14.0687 9.04142i 0.519286 0.333725i
\(735\) −21.0159 6.14054i −0.775183 0.226497i
\(736\) 4.40822 1.88880i 0.162489 0.0696221i
\(737\) 6.49919i 0.239401i
\(738\) 12.5441 0.0332993i 0.461755 0.00122576i
\(739\) −4.05874 + 28.2292i −0.149303 + 1.03843i 0.768061 + 0.640377i \(0.221222\pi\)
−0.917364 + 0.398050i \(0.869687\pi\)
\(740\) −7.44618 3.40056i −0.273727 0.125007i
\(741\) −0.0348042 26.2221i −0.00127856 0.963292i
\(742\) −2.37105 5.19187i −0.0870438 0.190599i
\(743\) −3.38935 3.91152i −0.124343 0.143500i 0.690164 0.723653i \(-0.257538\pi\)
−0.814508 + 0.580153i \(0.802993\pi\)
\(744\) 10.6703 + 1.51970i 0.391191 + 0.0557149i
\(745\) 6.67474 + 1.95988i 0.244544 + 0.0718045i
\(746\) −2.72955 + 3.15007i −0.0999360 + 0.115332i
\(747\) 19.1413 + 41.6208i 0.700343 + 1.52283i
\(748\) −6.92262 4.44890i −0.253116 0.162668i
\(749\) 29.8275 + 25.8457i 1.08987 + 0.944380i
\(750\) −0.934483 + 1.45834i −0.0341225 + 0.0532509i
\(751\) −27.6418 + 3.97429i −1.00866 + 0.145024i −0.626788 0.779190i \(-0.715631\pi\)
−0.381876 + 0.924214i \(0.624722\pi\)
\(752\) −7.14091 + 6.18763i −0.260402 + 0.225640i
\(753\) −0.215379 1.48401i −0.00784885 0.0540803i
\(754\) 13.5962 3.99221i 0.495145 0.145388i
\(755\) 9.66574 21.1650i 0.351772 0.770274i
\(756\) 12.5271 + 19.3229i 0.455606 + 0.702768i
\(757\) −8.66617 13.4848i −0.314977 0.490114i 0.647281 0.762251i \(-0.275906\pi\)
−0.962259 + 0.272137i \(0.912270\pi\)
\(758\) 2.52588 0.0917439
\(759\) −20.3914 6.48392i −0.740161 0.235351i
\(760\) −2.87618 −0.104330
\(761\) −19.8698 30.9180i −0.720278 1.12078i −0.987573 0.157160i \(-0.949766\pi\)
0.267295 0.963615i \(-0.413870\pi\)
\(762\) −8.19477 3.72929i −0.296865 0.135098i
\(763\) −9.49952 + 20.8011i −0.343906 + 0.753049i
\(764\) −13.7043 + 4.02393i −0.495803 + 0.145581i
\(765\) 1.33870 9.48961i 0.0484007 0.343097i
\(766\) −6.84730 + 5.93322i −0.247403 + 0.214376i
\(767\) −40.3436 + 5.80054i −1.45672 + 0.209445i
\(768\) −1.45834 0.934483i −0.0526231 0.0337202i
\(769\) 35.3382 + 30.6207i 1.27433 + 1.10421i 0.989331 + 0.145683i \(0.0465378\pi\)
0.284996 + 0.958529i \(0.408008\pi\)
\(770\) −9.60384 6.17201i −0.346098 0.222424i
\(771\) −17.4526 + 15.1634i −0.628540 + 0.546096i
\(772\) −8.71290 + 10.0552i −0.313584 + 0.361895i
\(773\) −11.6930 3.43336i −0.420566 0.123489i 0.0646001 0.997911i \(-0.479423\pi\)