Properties

Label 171.2.x.a.110.7
Level $171$
Weight $2$
Character 171.110
Analytic conductor $1.365$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 171 = 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 171.x (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.36544187456\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 110.7
Character \(\chi\) \(=\) 171.110
Dual form 171.2.x.a.14.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.788568 + 0.661687i) q^{2} +(-0.897794 - 1.48120i) q^{3} +(-0.163287 + 0.926044i) q^{4} +(0.446483 - 1.22670i) q^{5} +(1.68807 + 0.573972i) q^{6} +(-0.947545 - 1.64120i) q^{7} +(-1.51339 - 2.62127i) q^{8} +(-1.38793 + 2.65963i) q^{9} +O(q^{10})\) \(q+(-0.788568 + 0.661687i) q^{2} +(-0.897794 - 1.48120i) q^{3} +(-0.163287 + 0.926044i) q^{4} +(0.446483 - 1.22670i) q^{5} +(1.68807 + 0.573972i) q^{6} +(-0.947545 - 1.64120i) q^{7} +(-1.51339 - 2.62127i) q^{8} +(-1.38793 + 2.65963i) q^{9} +(0.459610 + 1.26277i) q^{10} -5.09241i q^{11} +(1.51826 - 0.589536i) q^{12} +(0.188944 + 0.519120i) q^{13} +(1.83316 + 0.667217i) q^{14} +(-2.21784 + 0.439993i) q^{15} +(1.16063 + 0.422436i) q^{16} +(1.79639 - 4.93555i) q^{17} +(-0.665367 - 3.01568i) q^{18} +(-1.28875 - 4.16403i) q^{19} +(1.06307 + 0.613766i) q^{20} +(-1.58025 + 2.87696i) q^{21} +(3.36958 + 4.01571i) q^{22} +(-4.43591 - 0.782171i) q^{23} +(-2.52392 + 4.59500i) q^{24} +(2.52477 + 2.11854i) q^{25} +(-0.492490 - 0.284339i) q^{26} +(5.18554 - 0.331993i) q^{27} +(1.67454 - 0.609484i) q^{28} +(-0.744354 + 4.22144i) q^{29} +(1.45778 - 1.81448i) q^{30} +9.56154i q^{31} +(4.49373 - 1.63559i) q^{32} +(-7.54289 + 4.57193i) q^{33} +(1.84921 + 5.08067i) q^{34} +(-2.43632 + 0.429589i) q^{35} +(-2.23631 - 1.71957i) q^{36} -0.822439i q^{37} +(3.77155 + 2.43087i) q^{38} +(0.599289 - 0.745928i) q^{39} +(-3.89122 + 0.686127i) q^{40} +(-4.69226 + 3.93727i) q^{41} +(-0.657519 - 3.31431i) q^{42} +(-0.620272 - 3.51774i) q^{43} +(4.71579 + 0.831522i) q^{44} +(2.64289 + 2.89006i) q^{45} +(4.01557 - 2.31839i) q^{46} +(6.74036 + 1.18851i) q^{47} +(-0.416295 - 2.09839i) q^{48} +(1.70432 - 2.95196i) q^{49} -3.39277 q^{50} +(-8.92335 + 1.77028i) q^{51} +(-0.511580 + 0.0902054i) q^{52} +(-3.87285 - 3.24971i) q^{53} +(-3.86947 + 3.69300i) q^{54} +(-6.24686 - 2.27367i) q^{55} +(-2.86801 + 4.96755i) q^{56} +(-5.01074 + 5.64734i) q^{57} +(-2.20630 - 3.82142i) q^{58} +(1.14034 + 6.46720i) q^{59} +(-0.0453088 - 2.12567i) q^{60} +(2.20421 - 0.802266i) q^{61} +(-6.32675 - 7.53992i) q^{62} +(5.68011 - 0.242254i) q^{63} +(-3.69649 + 6.40251i) q^{64} +0.721165 q^{65} +(2.92290 - 8.59632i) q^{66} +(10.0012 - 11.9190i) q^{67} +(4.27721 + 2.46945i) q^{68} +(2.82398 + 7.27272i) q^{69} +(1.63695 - 1.95084i) q^{70} +(0.276935 - 0.232376i) q^{71} +(9.07210 - 0.386921i) q^{72} +(0.920520 + 5.22053i) q^{73} +(0.544197 + 0.648549i) q^{74} +(0.871259 - 5.64172i) q^{75} +(4.06651 - 0.513512i) q^{76} +(-8.35764 + 4.82529i) q^{77} +(0.0209902 + 0.984757i) q^{78} +(4.77547 - 13.1205i) q^{79} +(1.03640 - 1.23514i) q^{80} +(-5.14729 - 7.38278i) q^{81} +(1.09492 - 6.20962i) q^{82} +(6.96872 - 4.02339i) q^{83} +(-2.40616 - 1.93315i) q^{84} +(-5.25239 - 4.40727i) q^{85} +(2.81677 + 2.36355i) q^{86} +(6.92109 - 2.68744i) q^{87} +(-13.3486 + 7.70681i) q^{88} +(-0.457076 + 2.59221i) q^{89} +(-3.99641 - 0.530242i) q^{90} +(0.672944 - 0.801984i) q^{91} +(1.44865 - 3.98014i) q^{92} +(14.1626 - 8.58429i) q^{93} +(-6.10165 + 3.52279i) q^{94} +(-5.68342 - 0.278252i) q^{95} +(-6.45709 - 5.18772i) q^{96} +(1.47879 + 1.76235i) q^{97} +(0.609306 + 3.45555i) q^{98} +(13.5439 + 7.06791i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9} - 12 q^{10} - 9 q^{12} - 6 q^{13} - 9 q^{14} - 36 q^{15} - 9 q^{16} + 27 q^{17} + 36 q^{18} - 15 q^{19} - 18 q^{20} + 3 q^{21} + 30 q^{22} - 45 q^{23} - 21 q^{24} - 3 q^{25} - 72 q^{26} - 36 q^{28} - 9 q^{29} - 21 q^{30} - 9 q^{32} - 6 q^{33} + 33 q^{34} + 45 q^{35} + 18 q^{36} - 9 q^{38} - 18 q^{39} + 15 q^{40} - 9 q^{41} + 15 q^{42} + 9 q^{43} - 63 q^{44} + 33 q^{45} - 18 q^{46} - 9 q^{47} + 3 q^{48} - 15 q^{49} + 126 q^{50} + 39 q^{51} - 39 q^{52} - 51 q^{54} + 3 q^{55} + 63 q^{56} - 78 q^{57} - 6 q^{58} + 36 q^{59} - 75 q^{60} - 24 q^{61} + 18 q^{62} - 9 q^{63} - 18 q^{65} + 159 q^{66} - 63 q^{67} + 54 q^{68} - 9 q^{69} + 39 q^{70} + 141 q^{72} - 45 q^{73} - 117 q^{74} - 3 q^{76} - 18 q^{77} + 27 q^{78} + 3 q^{79} + 126 q^{80} - 60 q^{81} - 3 q^{82} + 27 q^{83} - 117 q^{84} - 3 q^{85} - 171 q^{86} + 15 q^{87} - 9 q^{88} + 54 q^{89} - 21 q^{90} - 9 q^{91} - 27 q^{92} + 42 q^{93} + 99 q^{95} + 207 q^{96} - 57 q^{97} - 27 q^{98} + 39 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(154\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{11}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.788568 + 0.661687i −0.557602 + 0.467884i −0.877506 0.479567i \(-0.840794\pi\)
0.319904 + 0.947450i \(0.396349\pi\)
\(3\) −0.897794 1.48120i −0.518342 0.855174i
\(4\) −0.163287 + 0.926044i −0.0816433 + 0.463022i
\(5\) 0.446483 1.22670i 0.199673 0.548597i −0.798931 0.601423i \(-0.794601\pi\)
0.998604 + 0.0528259i \(0.0168228\pi\)
\(6\) 1.68807 + 0.573972i 0.689150 + 0.234323i
\(7\) −0.947545 1.64120i −0.358138 0.620314i 0.629511 0.776991i \(-0.283255\pi\)
−0.987650 + 0.156677i \(0.949922\pi\)
\(8\) −1.51339 2.62127i −0.535065 0.926759i
\(9\) −1.38793 + 2.65963i −0.462644 + 0.886544i
\(10\) 0.459610 + 1.26277i 0.145342 + 0.399323i
\(11\) 5.09241i 1.53542i −0.640799 0.767709i \(-0.721397\pi\)
0.640799 0.767709i \(-0.278603\pi\)
\(12\) 1.51826 0.589536i 0.438284 0.170185i
\(13\) 0.188944 + 0.519120i 0.0524037 + 0.143978i 0.963133 0.269026i \(-0.0867018\pi\)
−0.910729 + 0.413004i \(0.864480\pi\)
\(14\) 1.83316 + 0.667217i 0.489933 + 0.178321i
\(15\) −2.21784 + 0.439993i −0.572645 + 0.113606i
\(16\) 1.16063 + 0.422436i 0.290158 + 0.105609i
\(17\) 1.79639 4.93555i 0.435689 1.19705i −0.506580 0.862193i \(-0.669091\pi\)
0.942270 0.334854i \(-0.108687\pi\)
\(18\) −0.665367 3.01568i −0.156828 0.710802i
\(19\) −1.28875 4.16403i −0.295660 0.955293i
\(20\) 1.06307 + 0.613766i 0.237711 + 0.137242i
\(21\) −1.58025 + 2.87696i −0.344838 + 0.627805i
\(22\) 3.36958 + 4.01571i 0.718397 + 0.856152i
\(23\) −4.43591 0.782171i −0.924952 0.163094i −0.309167 0.951008i \(-0.600050\pi\)
−0.615785 + 0.787914i \(0.711161\pi\)
\(24\) −2.52392 + 4.59500i −0.515194 + 0.937951i
\(25\) 2.52477 + 2.11854i 0.504955 + 0.423707i
\(26\) −0.492490 0.284339i −0.0965853 0.0557635i
\(27\) 5.18554 0.331993i 0.997957 0.0638920i
\(28\) 1.67454 0.609484i 0.316459 0.115182i
\(29\) −0.744354 + 4.22144i −0.138223 + 0.783902i 0.834338 + 0.551253i \(0.185850\pi\)
−0.972561 + 0.232648i \(0.925261\pi\)
\(30\) 1.45778 1.81448i 0.266154 0.331278i
\(31\) 9.56154i 1.71730i 0.512560 + 0.858651i \(0.328697\pi\)
−0.512560 + 0.858651i \(0.671303\pi\)
\(32\) 4.49373 1.63559i 0.794388 0.289133i
\(33\) −7.54289 + 4.57193i −1.31305 + 0.795871i
\(34\) 1.84921 + 5.08067i 0.317137 + 0.871328i
\(35\) −2.43632 + 0.429589i −0.411813 + 0.0726138i
\(36\) −2.23631 1.71957i −0.372718 0.286595i
\(37\) 0.822439i 0.135208i −0.997712 0.0676041i \(-0.978465\pi\)
0.997712 0.0676041i \(-0.0215355\pi\)
\(38\) 3.77155 + 2.43087i 0.611827 + 0.394339i
\(39\) 0.599289 0.745928i 0.0959631 0.119444i
\(40\) −3.89122 + 0.686127i −0.615256 + 0.108486i
\(41\) −4.69226 + 3.93727i −0.732808 + 0.614899i −0.930896 0.365285i \(-0.880971\pi\)
0.198088 + 0.980184i \(0.436527\pi\)
\(42\) −0.657519 3.31431i −0.101457 0.511409i
\(43\) −0.620272 3.51774i −0.0945906 0.536450i −0.994872 0.101142i \(-0.967750\pi\)
0.900281 0.435308i \(-0.143361\pi\)
\(44\) 4.71579 + 0.831522i 0.710933 + 0.125357i
\(45\) 2.64289 + 2.89006i 0.393978 + 0.430824i
\(46\) 4.01557 2.31839i 0.592064 0.341828i
\(47\) 6.74036 + 1.18851i 0.983182 + 0.173362i 0.642057 0.766657i \(-0.278081\pi\)
0.341125 + 0.940018i \(0.389192\pi\)
\(48\) −0.416295 2.09839i −0.0600871 0.302877i
\(49\) 1.70432 2.95196i 0.243474 0.421709i
\(50\) −3.39277 −0.479810
\(51\) −8.92335 + 1.77028i −1.24952 + 0.247889i
\(52\) −0.511580 + 0.0902054i −0.0709434 + 0.0125092i
\(53\) −3.87285 3.24971i −0.531977 0.446382i 0.336806 0.941574i \(-0.390653\pi\)
−0.868783 + 0.495192i \(0.835098\pi\)
\(54\) −3.86947 + 3.69300i −0.526569 + 0.502554i
\(55\) −6.24686 2.27367i −0.842326 0.306582i
\(56\) −2.86801 + 4.96755i −0.383255 + 0.663816i
\(57\) −5.01074 + 5.64734i −0.663689 + 0.748009i
\(58\) −2.20630 3.82142i −0.289701 0.501778i
\(59\) 1.14034 + 6.46720i 0.148460 + 0.841958i 0.964524 + 0.263996i \(0.0850406\pi\)
−0.816064 + 0.577962i \(0.803848\pi\)
\(60\) −0.0453088 2.12567i −0.00584934 0.274422i
\(61\) 2.20421 0.802266i 0.282220 0.102720i −0.197032 0.980397i \(-0.563130\pi\)
0.479252 + 0.877677i \(0.340908\pi\)
\(62\) −6.32675 7.53992i −0.803498 0.957571i
\(63\) 5.68011 0.242254i 0.715626 0.0305211i
\(64\) −3.69649 + 6.40251i −0.462061 + 0.800313i
\(65\) 0.721165 0.0894495
\(66\) 2.92290 8.59632i 0.359784 1.05813i
\(67\) 10.0012 11.9190i 1.22184 1.45613i 0.372713 0.927947i \(-0.378428\pi\)
0.849128 0.528187i \(-0.177128\pi\)
\(68\) 4.27721 + 2.46945i 0.518688 + 0.299465i
\(69\) 2.82398 + 7.27272i 0.339968 + 0.875533i
\(70\) 1.63695 1.95084i 0.195653 0.233170i
\(71\) 0.276935 0.232376i 0.0328661 0.0275780i −0.626207 0.779657i \(-0.715393\pi\)
0.659073 + 0.752079i \(0.270949\pi\)
\(72\) 9.07210 0.386921i 1.06916 0.0455991i
\(73\) 0.920520 + 5.22053i 0.107739 + 0.611017i 0.990091 + 0.140427i \(0.0448476\pi\)
−0.882352 + 0.470589i \(0.844041\pi\)
\(74\) 0.544197 + 0.648549i 0.0632617 + 0.0753923i
\(75\) 0.871259 5.64172i 0.100604 0.651449i
\(76\) 4.06651 0.513512i 0.466461 0.0589039i
\(77\) −8.35764 + 4.82529i −0.952441 + 0.549892i
\(78\) 0.0209902 + 0.984757i 0.00237667 + 0.111502i
\(79\) 4.77547 13.1205i 0.537282 1.47617i −0.312954 0.949768i \(-0.601318\pi\)
0.850236 0.526402i \(-0.176459\pi\)
\(80\) 1.03640 1.23514i 0.115873 0.138093i
\(81\) −5.14729 7.38278i −0.571921 0.820308i
\(82\) 1.09492 6.20962i 0.120914 0.685738i
\(83\) 6.96872 4.02339i 0.764917 0.441625i −0.0661417 0.997810i \(-0.521069\pi\)
0.831058 + 0.556185i \(0.187736\pi\)
\(84\) −2.40616 1.93315i −0.262534 0.210924i
\(85\) −5.25239 4.40727i −0.569701 0.478036i
\(86\) 2.81677 + 2.36355i 0.303740 + 0.254868i
\(87\) 6.92109 2.68744i 0.742019 0.288124i
\(88\) −13.3486 + 7.70681i −1.42296 + 0.821548i
\(89\) −0.457076 + 2.59221i −0.0484500 + 0.274773i −0.999403 0.0345634i \(-0.988996\pi\)
0.950953 + 0.309337i \(0.100107\pi\)
\(90\) −3.99641 0.530242i −0.421258 0.0558924i
\(91\) 0.672944 0.801984i 0.0705437 0.0840708i
\(92\) 1.44865 3.98014i 0.151032 0.414958i
\(93\) 14.1626 8.58429i 1.46859 0.890149i
\(94\) −6.10165 + 3.52279i −0.629337 + 0.363348i
\(95\) −5.68342 0.278252i −0.583107 0.0285480i
\(96\) −6.45709 5.18772i −0.659023 0.529469i
\(97\) 1.47879 + 1.76235i 0.150148 + 0.178939i 0.835876 0.548919i \(-0.184960\pi\)
−0.685728 + 0.727858i \(0.740516\pi\)
\(98\) 0.609306 + 3.45555i 0.0615492 + 0.349063i
\(99\) 13.5439 + 7.06791i 1.36122 + 0.710352i
\(100\) −2.37412 + 1.99212i −0.237412 + 0.199212i
\(101\) 5.31701 6.33656i 0.529062 0.630512i −0.433637 0.901088i \(-0.642770\pi\)
0.962699 + 0.270576i \(0.0872143\pi\)
\(102\) 5.86530 7.30046i 0.580751 0.722853i
\(103\) −12.1267 7.00135i −1.19488 0.689864i −0.235470 0.971882i \(-0.575663\pi\)
−0.959409 + 0.282018i \(0.908996\pi\)
\(104\) 1.07481 1.28091i 0.105394 0.125603i
\(105\) 2.82362 + 3.22300i 0.275557 + 0.314533i
\(106\) 5.20430 0.505486
\(107\) −1.26663 + 2.19386i −0.122449 + 0.212089i −0.920733 0.390193i \(-0.872408\pi\)
0.798284 + 0.602282i \(0.205742\pi\)
\(108\) −0.539289 + 4.85625i −0.0518931 + 0.467293i
\(109\) 7.35992 + 8.77121i 0.704953 + 0.840130i 0.993077 0.117463i \(-0.0374761\pi\)
−0.288124 + 0.957593i \(0.593032\pi\)
\(110\) 6.43053 2.34052i 0.613127 0.223160i
\(111\) −1.21820 + 0.738381i −0.115626 + 0.0700840i
\(112\) −0.406452 2.30510i −0.0384061 0.217812i
\(113\) 3.04325 + 5.27107i 0.286285 + 0.495860i 0.972920 0.231142i \(-0.0742463\pi\)
−0.686635 + 0.727002i \(0.740913\pi\)
\(114\) 0.214534 7.76886i 0.0200929 0.727620i
\(115\) −2.94005 + 5.09231i −0.274161 + 0.474861i
\(116\) −3.78770 1.37861i −0.351679 0.128001i
\(117\) −1.64291 0.217981i −0.151887 0.0201523i
\(118\) −5.17850 4.34528i −0.476720 0.400015i
\(119\) −9.80237 + 1.72842i −0.898582 + 0.158444i
\(120\) 4.50981 + 5.14769i 0.411687 + 0.469918i
\(121\) −14.9326 −1.35751
\(122\) −1.20732 + 2.09114i −0.109306 + 0.189323i
\(123\) 10.0446 + 3.41533i 0.905690 + 0.307950i
\(124\) −8.85441 1.56127i −0.795149 0.140206i
\(125\) 9.37875 5.41482i 0.838861 0.484316i
\(126\) −4.31886 + 3.94949i −0.384754 + 0.351848i
\(127\) −3.06101 0.539739i −0.271621 0.0478941i 0.0361787 0.999345i \(-0.488481\pi\)
−0.307799 + 0.951451i \(0.599593\pi\)
\(128\) 0.339294 + 1.92423i 0.0299896 + 0.170080i
\(129\) −4.65361 + 4.07695i −0.409728 + 0.358956i
\(130\) −0.568688 + 0.477186i −0.0498772 + 0.0418519i
\(131\) −12.7315 + 2.24491i −1.11236 + 0.196139i −0.699483 0.714649i \(-0.746587\pi\)
−0.412875 + 0.910788i \(0.635475\pi\)
\(132\) −3.00216 7.73159i −0.261304 0.672948i
\(133\) −5.61283 + 6.06070i −0.486695 + 0.525529i
\(134\) 16.0166i 1.38362i
\(135\) 1.90800 6.50933i 0.164214 0.560234i
\(136\) −15.6561 + 2.76059i −1.34250 + 0.236718i
\(137\) 2.91352 + 8.00484i 0.248919 + 0.683900i 0.999727 + 0.0233786i \(0.00744232\pi\)
−0.750808 + 0.660521i \(0.770335\pi\)
\(138\) −7.03917 3.86645i −0.599214 0.329134i
\(139\) 2.98108 1.08503i 0.252852 0.0920307i −0.212484 0.977164i \(-0.568155\pi\)
0.465337 + 0.885134i \(0.345933\pi\)
\(140\) 2.32629i 0.196607i
\(141\) −4.29103 11.0509i −0.361370 0.930652i
\(142\) −0.0646218 + 0.366489i −0.00542294 + 0.0307550i
\(143\) 2.64357 0.962180i 0.221066 0.0804616i
\(144\) −2.73440 + 2.50054i −0.227867 + 0.208379i
\(145\) 4.84610 + 2.79790i 0.402447 + 0.232353i
\(146\) −4.18025 3.50765i −0.345960 0.290295i
\(147\) −5.90258 + 0.125814i −0.486837 + 0.0103770i
\(148\) 0.761615 + 0.134293i 0.0626044 + 0.0110388i
\(149\) −11.6236 13.8524i −0.952240 1.13483i −0.990767 0.135577i \(-0.956711\pi\)
0.0385273 0.999258i \(-0.487733\pi\)
\(150\) 3.04601 + 5.02538i 0.248705 + 0.410320i
\(151\) 11.2859 + 6.51591i 0.918432 + 0.530257i 0.883135 0.469120i \(-0.155429\pi\)
0.0352977 + 0.999377i \(0.488762\pi\)
\(152\) −8.96466 + 9.67997i −0.727130 + 0.785150i
\(153\) 10.6335 + 11.6280i 0.859666 + 0.940064i
\(154\) 3.39774 9.33521i 0.273798 0.752253i
\(155\) 11.7291 + 4.26906i 0.942107 + 0.342899i
\(156\) 0.592906 + 0.676769i 0.0474705 + 0.0541849i
\(157\) 20.6617 + 7.52026i 1.64899 + 0.600182i 0.988576 0.150724i \(-0.0481603\pi\)
0.660410 + 0.750905i \(0.270383\pi\)
\(158\) 4.91588 + 13.5063i 0.391086 + 1.07450i
\(159\) −1.33646 + 8.65405i −0.105988 + 0.686311i
\(160\) 6.24273i 0.493531i
\(161\) 2.91953 + 8.02135i 0.230091 + 0.632171i
\(162\) 8.94408 + 2.41592i 0.702713 + 0.189813i
\(163\) 2.41860 + 4.18914i 0.189439 + 0.328119i 0.945063 0.326887i \(-0.106000\pi\)
−0.755624 + 0.655006i \(0.772666\pi\)
\(164\) −2.87991 4.98815i −0.224883 0.389509i
\(165\) 2.24062 + 11.2942i 0.174432 + 0.879249i
\(166\) −2.83308 + 7.78383i −0.219890 + 0.604143i
\(167\) 0.334515 1.89713i 0.0258855 0.146804i −0.969126 0.246567i \(-0.920697\pi\)
0.995011 + 0.0997631i \(0.0318085\pi\)
\(168\) 9.93284 0.211719i 0.766335 0.0163345i
\(169\) 9.72479 8.16007i 0.748061 0.627698i
\(170\) 7.05810 0.541332
\(171\) 12.8635 + 2.35178i 0.983695 + 0.179845i
\(172\) 3.35886 0.256111
\(173\) 0.541085 0.454024i 0.0411379 0.0345188i −0.621987 0.783028i \(-0.713674\pi\)
0.663125 + 0.748509i \(0.269230\pi\)
\(174\) −3.67951 + 6.69883i −0.278943 + 0.507837i
\(175\) 1.08460 6.15106i 0.0819879 0.464977i
\(176\) 2.15121 5.91041i 0.162154 0.445514i
\(177\) 8.55545 7.49529i 0.643067 0.563381i
\(178\) −1.35480 2.34657i −0.101546 0.175883i
\(179\) −10.1185 17.5257i −0.756288 1.30993i −0.944731 0.327846i \(-0.893677\pi\)
0.188443 0.982084i \(-0.439656\pi\)
\(180\) −3.10787 + 1.97552i −0.231647 + 0.147247i
\(181\) 4.39983 + 12.0884i 0.327037 + 0.898527i 0.988858 + 0.148865i \(0.0475618\pi\)
−0.661821 + 0.749662i \(0.730216\pi\)
\(182\) 1.07770i 0.0798843i
\(183\) −3.16725 2.54461i −0.234130 0.188103i
\(184\) 4.66299 + 12.8115i 0.343760 + 0.944474i
\(185\) −1.00889 0.367205i −0.0741748 0.0269974i
\(186\) −5.48805 + 16.1405i −0.402403 + 1.18348i
\(187\) −25.1338 9.14797i −1.83797 0.668966i
\(188\) −2.20122 + 6.04780i −0.160540 + 0.441081i
\(189\) −5.45840 8.19591i −0.397040 0.596164i
\(190\) 4.66588 3.54123i 0.338498 0.256908i
\(191\) 3.19381 + 1.84395i 0.231096 + 0.133423i 0.611078 0.791571i \(-0.290736\pi\)
−0.379982 + 0.924994i \(0.624070\pi\)
\(192\) 12.8021 0.272878i 0.923912 0.0196933i
\(193\) −10.9517 13.0518i −0.788324 0.939488i 0.210953 0.977496i \(-0.432343\pi\)
−0.999277 + 0.0380081i \(0.987899\pi\)
\(194\) −2.33225 0.411238i −0.167446 0.0295252i
\(195\) −0.647458 1.06819i −0.0463654 0.0764948i
\(196\) 2.45536 + 2.06029i 0.175383 + 0.147163i
\(197\) 13.7412 + 7.93351i 0.979022 + 0.565239i 0.901975 0.431789i \(-0.142117\pi\)
0.0770476 + 0.997027i \(0.475451\pi\)
\(198\) −15.3571 + 3.38832i −1.09138 + 0.240797i
\(199\) −16.9852 + 6.18211i −1.20405 + 0.438238i −0.864636 0.502399i \(-0.832451\pi\)
−0.339414 + 0.940637i \(0.610229\pi\)
\(200\) 1.73229 9.82430i 0.122491 0.694683i
\(201\) −26.6334 4.11304i −1.87858 0.290112i
\(202\) 8.51501i 0.599114i
\(203\) 7.63352 2.77838i 0.535768 0.195004i
\(204\) −0.182297 8.55248i −0.0127633 0.598794i
\(205\) 2.73484 + 7.51392i 0.191010 + 0.524795i
\(206\) 14.1954 2.50304i 0.989043 0.174395i
\(207\) 8.23703 10.7123i 0.572513 0.744557i
\(208\) 0.682324i 0.0473106i
\(209\) −21.2049 + 6.56285i −1.46677 + 0.453962i
\(210\) −4.35924 0.673204i −0.300816 0.0464555i
\(211\) 26.2753 4.63304i 1.80887 0.318952i 0.835723 0.549152i \(-0.185049\pi\)
0.973143 + 0.230200i \(0.0739381\pi\)
\(212\) 3.64176 3.05580i 0.250117 0.209873i
\(213\) −0.592827 0.201571i −0.0406198 0.0138114i
\(214\) −0.452829 2.56812i −0.0309548 0.175553i
\(215\) −4.59215 0.809720i −0.313182 0.0552225i
\(216\) −8.71799 13.0903i −0.593184 0.890680i
\(217\) 15.6924 9.05999i 1.06527 0.615032i
\(218\) −11.6076 2.04673i −0.786166 0.138622i
\(219\) 6.90623 6.05044i 0.466680 0.408851i
\(220\) 3.12555 5.41361i 0.210724 0.364985i
\(221\) 2.90156 0.195180
\(222\) 0.472057 1.38833i 0.0316824 0.0931787i
\(223\) −11.3279 + 1.99741i −0.758570 + 0.133756i −0.539538 0.841961i \(-0.681401\pi\)
−0.219032 + 0.975718i \(0.570290\pi\)
\(224\) −6.94233 5.82531i −0.463854 0.389220i
\(225\) −9.13875 + 3.77459i −0.609250 + 0.251639i
\(226\) −5.88761 2.14291i −0.391638 0.142545i
\(227\) −10.4898 + 18.1688i −0.696230 + 1.20591i 0.273534 + 0.961862i \(0.411807\pi\)
−0.969764 + 0.244044i \(0.921526\pi\)
\(228\) −4.41150 5.56230i −0.292159 0.368373i
\(229\) 3.77433 + 6.53733i 0.249415 + 0.431999i 0.963364 0.268199i \(-0.0864284\pi\)
−0.713949 + 0.700198i \(0.753095\pi\)
\(230\) −1.05109 5.96103i −0.0693068 0.393059i
\(231\) 14.6507 + 8.04726i 0.963943 + 0.529471i
\(232\) 12.1920 4.43754i 0.800447 0.291339i
\(233\) −18.0687 21.5335i −1.18372 1.41070i −0.890695 0.454600i \(-0.849782\pi\)
−0.293026 0.956104i \(-0.594662\pi\)
\(234\) 1.43978 0.915200i 0.0941214 0.0598285i
\(235\) 4.46739 7.73775i 0.291421 0.504755i
\(236\) −6.17512 −0.401966
\(237\) −23.7215 + 4.70606i −1.54088 + 0.305691i
\(238\) 6.58616 7.84909i 0.426918 0.508781i
\(239\) 23.2383 + 13.4166i 1.50316 + 0.867848i 0.999993 + 0.00365777i \(0.00116431\pi\)
0.503164 + 0.864191i \(0.332169\pi\)
\(240\) −2.75997 0.426226i −0.178155 0.0275128i
\(241\) 3.68705 4.39406i 0.237504 0.283046i −0.634106 0.773246i \(-0.718632\pi\)
0.871610 + 0.490200i \(0.163076\pi\)
\(242\) 11.7754 9.88071i 0.756949 0.635156i
\(243\) −6.31419 + 14.2524i −0.405055 + 0.914292i
\(244\) 0.383016 + 2.17219i 0.0245201 + 0.139060i
\(245\) −2.86023 3.40868i −0.182733 0.217773i
\(246\) −10.1807 + 3.95315i −0.649099 + 0.252044i
\(247\) 1.91813 1.45579i 0.122047 0.0926294i
\(248\) 25.0634 14.4703i 1.59153 0.918868i
\(249\) −12.2159 6.70992i −0.774154 0.425224i
\(250\) −3.81286 + 10.4758i −0.241147 + 0.662545i
\(251\) 2.87033 3.42072i 0.181173 0.215914i −0.667812 0.744330i \(-0.732769\pi\)
0.848986 + 0.528415i \(0.177214\pi\)
\(252\) −0.703148 + 5.29959i −0.0442941 + 0.333843i
\(253\) −3.98313 + 22.5895i −0.250418 + 1.42019i
\(254\) 2.77095 1.59981i 0.173865 0.100381i
\(255\) −1.81251 + 11.7367i −0.113504 + 0.734979i
\(256\) −12.8675 10.7971i −0.804218 0.674819i
\(257\) −10.9885 9.22043i −0.685442 0.575154i 0.232149 0.972680i \(-0.425424\pi\)
−0.917591 + 0.397526i \(0.869869\pi\)
\(258\) 0.972021 6.29419i 0.0605154 0.391859i
\(259\) −1.34978 + 0.779298i −0.0838715 + 0.0484232i
\(260\) −0.117757 + 0.667831i −0.00730295 + 0.0414171i
\(261\) −10.1944 7.83878i −0.631016 0.485208i
\(262\) 8.55425 10.1946i 0.528483 0.629822i
\(263\) −3.25822 + 8.95187i −0.200910 + 0.551996i −0.998702 0.0509370i \(-0.983779\pi\)
0.797792 + 0.602933i \(0.206001\pi\)
\(264\) 23.3996 + 12.8528i 1.44015 + 0.791038i
\(265\) −5.71558 + 3.29989i −0.351105 + 0.202711i
\(266\) 0.415815 8.49322i 0.0254953 0.520753i
\(267\) 4.24995 1.65025i 0.260093 0.100993i
\(268\) 9.40443 + 11.2078i 0.574467 + 0.684623i
\(269\) 1.18735 + 6.73379i 0.0723940 + 0.410567i 0.999371 + 0.0354497i \(0.0112863\pi\)
−0.926977 + 0.375117i \(0.877603\pi\)
\(270\) 2.80256 + 6.39555i 0.170558 + 0.389221i
\(271\) 21.5952 18.1205i 1.31182 1.10074i 0.323843 0.946111i \(-0.395025\pi\)
0.987972 0.154633i \(-0.0494195\pi\)
\(272\) 4.16990 4.96950i 0.252838 0.301320i
\(273\) −1.79207 0.276752i −0.108461 0.0167498i
\(274\) −7.59421 4.38452i −0.458783 0.264879i
\(275\) 10.7885 12.8572i 0.650568 0.775317i
\(276\) −7.19598 + 1.42759i −0.433147 + 0.0859311i
\(277\) 2.96624 0.178224 0.0891120 0.996022i \(-0.471597\pi\)
0.0891120 + 0.996022i \(0.471597\pi\)
\(278\) −1.63284 + 2.82816i −0.0979313 + 0.169622i
\(279\) −25.4302 13.2708i −1.52246 0.794499i
\(280\) 4.81317 + 5.73612i 0.287642 + 0.342799i
\(281\) 12.7465 4.63936i 0.760395 0.276761i 0.0674220 0.997725i \(-0.478523\pi\)
0.692973 + 0.720963i \(0.256300\pi\)
\(282\) 10.6960 + 5.87505i 0.636937 + 0.349854i
\(283\) 1.10490 + 6.26623i 0.0656798 + 0.372489i 0.999876 + 0.0157297i \(0.00500711\pi\)
−0.934197 + 0.356759i \(0.883882\pi\)
\(284\) 0.169971 + 0.294398i 0.0100859 + 0.0174693i
\(285\) 4.69039 + 8.66812i 0.277835 + 0.513455i
\(286\) −1.44797 + 2.50796i −0.0856204 + 0.148299i
\(287\) 10.9080 + 3.97018i 0.643877 + 0.234352i
\(288\) −1.88694 + 14.2218i −0.111189 + 0.838026i
\(289\) −8.10988 6.80500i −0.477052 0.400294i
\(290\) −5.67282 + 1.00027i −0.333119 + 0.0587379i
\(291\) 1.28275 3.77261i 0.0751963 0.221154i
\(292\) −4.98475 −0.291710
\(293\) 6.15574 10.6621i 0.359622 0.622884i −0.628275 0.777991i \(-0.716239\pi\)
0.987898 + 0.155107i \(0.0495722\pi\)
\(294\) 4.57134 4.00488i 0.266606 0.233569i
\(295\) 8.44246 + 1.48863i 0.491539 + 0.0866716i
\(296\) −2.15584 + 1.24467i −0.125305 + 0.0723451i
\(297\) −1.69064 26.4069i −0.0981010 1.53228i
\(298\) 18.3319 + 3.23242i 1.06194 + 0.187249i
\(299\) −0.432099 2.45056i −0.0249890 0.141719i
\(300\) 5.08222 + 1.72804i 0.293422 + 0.0997685i
\(301\) −5.18556 + 4.35121i −0.298891 + 0.250799i
\(302\) −13.2112 + 2.32949i −0.760218 + 0.134047i
\(303\) −14.1593 2.18664i −0.813432 0.125619i
\(304\) 0.263265 5.37732i 0.0150993 0.308410i
\(305\) 3.06210i 0.175335i
\(306\) −16.0793 2.13340i −0.919192 0.121958i
\(307\) 4.09615 0.722262i 0.233780 0.0412217i −0.0555308 0.998457i \(-0.517685\pi\)
0.289310 + 0.957235i \(0.406574\pi\)
\(308\) −3.10374 8.52745i −0.176852 0.485897i
\(309\) 0.516846 + 24.2479i 0.0294023 + 1.37941i
\(310\) −12.0740 + 4.39458i −0.685758 + 0.249595i
\(311\) 15.4430i 0.875692i 0.899050 + 0.437846i \(0.144259\pi\)
−0.899050 + 0.437846i \(0.855741\pi\)
\(312\) −2.86224 0.442020i −0.162042 0.0250244i
\(313\) 1.18388 6.71411i 0.0669168 0.379504i −0.932896 0.360146i \(-0.882727\pi\)
0.999813 0.0193578i \(-0.00616215\pi\)
\(314\) −21.2692 + 7.74137i −1.20029 + 0.436871i
\(315\) 2.23890 7.07595i 0.126147 0.398685i
\(316\) 11.3704 + 6.56470i 0.639634 + 0.369293i
\(317\) −7.21033 6.05018i −0.404972 0.339812i 0.417439 0.908705i \(-0.362928\pi\)
−0.822412 + 0.568893i \(0.807372\pi\)
\(318\) −4.67239 7.70863i −0.262014 0.432278i
\(319\) 21.4973 + 3.79055i 1.20362 + 0.212230i
\(320\) 6.20354 + 7.39309i 0.346788 + 0.413286i
\(321\) 4.38673 0.0935035i 0.244843 0.00521886i
\(322\) −7.60988 4.39356i −0.424082 0.244844i
\(323\) −22.8669 1.11953i −1.27235 0.0622922i
\(324\) 7.67726 3.56111i 0.426515 0.197840i
\(325\) −0.622733 + 1.71095i −0.0345430 + 0.0949062i
\(326\) −4.67913 1.70307i −0.259153 0.0943240i
\(327\) 6.38426 18.7763i 0.353051 1.03833i
\(328\) 17.4219 + 6.34105i 0.961963 + 0.350126i
\(329\) −4.43622 12.1884i −0.244577 0.671969i
\(330\) −9.24008 7.42362i −0.508650 0.408657i
\(331\) 34.6632i 1.90526i 0.304130 + 0.952631i \(0.401634\pi\)
−0.304130 + 0.952631i \(0.598366\pi\)
\(332\) 2.58794 + 7.11031i 0.142032 + 0.390229i
\(333\) 2.18739 + 1.14149i 0.119868 + 0.0625532i
\(334\) 0.991518 + 1.71736i 0.0542534 + 0.0939697i
\(335\) −10.1556 17.5901i −0.554862 0.961049i
\(336\) −3.04942 + 2.67155i −0.166359 + 0.145745i
\(337\) −0.256198 + 0.703897i −0.0139560 + 0.0383437i −0.946475 0.322777i \(-0.895384\pi\)
0.932519 + 0.361121i \(0.117606\pi\)
\(338\) −2.26925 + 12.8695i −0.123431 + 0.700011i
\(339\) 5.07531 9.24001i 0.275653 0.501848i
\(340\) 4.93898 4.14429i 0.267854 0.224756i
\(341\) 48.6912 2.63678
\(342\) −11.6999 + 6.65707i −0.632657 + 0.359973i
\(343\) −19.7253 −1.06507
\(344\) −8.28223 + 6.94962i −0.446548 + 0.374698i
\(345\) 10.1823 0.217037i 0.548197 0.0116849i
\(346\) −0.126260 + 0.716058i −0.00678780 + 0.0384955i
\(347\) 4.90061 13.4643i 0.263078 0.722802i −0.735878 0.677115i \(-0.763230\pi\)
0.998956 0.0456870i \(-0.0145477\pi\)
\(348\) 1.35857 + 6.84806i 0.0728271 + 0.367095i
\(349\) −0.0568119 0.0984011i −0.00304107 0.00526729i 0.864501 0.502631i \(-0.167635\pi\)
−0.867542 + 0.497364i \(0.834301\pi\)
\(350\) 3.21480 + 5.56820i 0.171838 + 0.297633i
\(351\) 1.15212 + 2.62919i 0.0614957 + 0.140336i
\(352\) −8.32907 22.8839i −0.443941 1.21972i
\(353\) 4.23792i 0.225562i 0.993620 + 0.112781i \(0.0359758\pi\)
−0.993620 + 0.112781i \(0.964024\pi\)
\(354\) −1.78702 + 11.5716i −0.0949789 + 0.615023i
\(355\) −0.161409 0.443468i −0.00856671 0.0235368i
\(356\) −2.32587 0.846546i −0.123271 0.0448668i
\(357\) 11.3607 + 12.9675i 0.601270 + 0.686315i
\(358\) 19.5756 + 7.12494i 1.03460 + 0.376565i
\(359\) −11.5267 + 31.6692i −0.608354 + 1.67144i 0.125470 + 0.992097i \(0.459956\pi\)
−0.733824 + 0.679340i \(0.762266\pi\)
\(360\) 3.57590 11.3015i 0.188466 0.595642i
\(361\) −15.6782 + 10.7328i −0.825170 + 0.564884i
\(362\) −11.4683 6.62125i −0.602762 0.348005i
\(363\) 13.4064 + 22.1182i 0.703653 + 1.16091i
\(364\) 0.632790 + 0.754130i 0.0331672 + 0.0395271i
\(365\) 6.81502 + 1.20167i 0.356714 + 0.0628984i
\(366\) 4.18133 0.0891254i 0.218561 0.00465866i
\(367\) −27.0849 22.7269i −1.41382 1.18633i −0.954555 0.298035i \(-0.903669\pi\)
−0.459263 0.888300i \(-0.651887\pi\)
\(368\) −4.81805 2.78170i −0.251158 0.145006i
\(369\) −3.95917 17.9444i −0.206106 0.934146i
\(370\) 1.03855 0.378001i 0.0539917 0.0196514i
\(371\) −1.66371 + 9.43535i −0.0863754 + 0.489859i
\(372\) 5.63687 + 14.5169i 0.292258 + 0.752665i
\(373\) 24.3603i 1.26133i 0.776055 + 0.630665i \(0.217218\pi\)
−0.776055 + 0.630665i \(0.782782\pi\)
\(374\) 25.8728 9.41694i 1.33785 0.486938i
\(375\) −16.4406 9.03044i −0.848991 0.466330i
\(376\) −7.08540 19.4670i −0.365402 1.00393i
\(377\) −2.33207 + 0.411208i −0.120108 + 0.0211783i
\(378\) 9.72744 + 2.85128i 0.500326 + 0.146654i
\(379\) 4.56637i 0.234559i −0.993099 0.117279i \(-0.962583\pi\)
0.993099 0.117279i \(-0.0374173\pi\)
\(380\) 1.18570 5.21766i 0.0608251 0.267661i
\(381\) 1.94869 + 5.01856i 0.0998346 + 0.257108i
\(382\) −3.73865 + 0.659225i −0.191286 + 0.0337289i
\(383\) −3.81663 + 3.20253i −0.195021 + 0.163642i −0.735069 0.677992i \(-0.762850\pi\)
0.540048 + 0.841634i \(0.318406\pi\)
\(384\) 2.54556 2.23013i 0.129903 0.113806i
\(385\) 2.18764 + 12.4067i 0.111492 + 0.632305i
\(386\) 17.2724 + 3.04559i 0.879142 + 0.155016i
\(387\) 10.2168 + 3.23268i 0.519349 + 0.164327i
\(388\) −1.87348 + 1.08165i −0.0951115 + 0.0549126i
\(389\) 7.24832 + 1.27807i 0.367505 + 0.0648010i 0.354351 0.935113i \(-0.384702\pi\)
0.0131536 + 0.999913i \(0.495813\pi\)
\(390\) 1.21737 + 0.413928i 0.0616441 + 0.0209601i
\(391\) −11.8291 + 20.4886i −0.598223 + 1.03615i
\(392\) −10.3172 −0.521097
\(393\) 14.7555 + 16.8425i 0.744315 + 0.849593i
\(394\) −16.0854 + 2.83629i −0.810371 + 0.142890i
\(395\) −13.9627 11.7161i −0.702542 0.589503i
\(396\) −8.75674 + 11.3882i −0.440043 + 0.572278i
\(397\) −24.9352 9.07567i −1.25146 0.455495i −0.370567 0.928806i \(-0.620837\pi\)
−0.880896 + 0.473311i \(0.843059\pi\)
\(398\) 9.30338 16.1139i 0.466336 0.807718i
\(399\) 14.0163 + 2.87249i 0.701693 + 0.143805i
\(400\) 2.03539 + 3.52540i 0.101769 + 0.176270i
\(401\) −2.83041 16.0521i −0.141344 0.801602i −0.970230 0.242185i \(-0.922136\pi\)
0.828886 0.559417i \(-0.188975\pi\)
\(402\) 23.7238 14.3796i 1.18324 0.717189i
\(403\) −4.96358 + 1.80660i −0.247254 + 0.0899930i
\(404\) 4.99974 + 5.95846i 0.248746 + 0.296445i
\(405\) −11.3546 + 3.01791i −0.564216 + 0.149961i
\(406\) −4.18114 + 7.24194i −0.207506 + 0.359412i
\(407\) −4.18819 −0.207601
\(408\) 18.1449 + 20.7114i 0.898307 + 1.02537i
\(409\) −13.2654 + 15.8091i −0.655934 + 0.781711i −0.986796 0.161968i \(-0.948216\pi\)
0.330863 + 0.943679i \(0.392660\pi\)
\(410\) −7.12848 4.11563i −0.352050 0.203256i
\(411\) 9.24106 11.5022i 0.455828 0.567363i
\(412\) 8.46369 10.0866i 0.416976 0.496933i
\(413\) 9.53342 7.99949i 0.469109 0.393629i
\(414\) 0.592732 + 13.8977i 0.0291312 + 0.683036i
\(415\) −1.82409 10.3449i −0.0895409 0.507812i
\(416\) 1.69813 + 2.02375i 0.0832577 + 0.0992226i
\(417\) −4.28354 3.44146i −0.209766 0.168529i
\(418\) 12.3790 19.2063i 0.605475 0.939410i
\(419\) −32.3192 + 18.6595i −1.57889 + 0.911575i −0.583880 + 0.811840i \(0.698466\pi\)
−0.995014 + 0.0997349i \(0.968201\pi\)
\(420\) −3.44570 + 2.08853i −0.168133 + 0.101910i
\(421\) −0.617360 + 1.69618i −0.0300883 + 0.0826668i −0.953827 0.300356i \(-0.902895\pi\)
0.923739 + 0.383023i \(0.125117\pi\)
\(422\) −17.6542 + 21.0395i −0.859395 + 1.02419i
\(423\) −12.5161 + 16.2773i −0.608556 + 0.791430i
\(424\) −2.65723 + 15.0699i −0.129046 + 0.731858i
\(425\) 14.9916 8.65543i 0.727201 0.419850i
\(426\) 0.600862 0.233313i 0.0291118 0.0113041i
\(427\) −3.40526 2.85736i −0.164792 0.138277i
\(428\) −1.82479 1.53118i −0.0882046 0.0740125i
\(429\) −3.79857 3.05182i −0.183396 0.147343i
\(430\) 4.15701 2.40005i 0.200469 0.115741i
\(431\) −3.09931 + 17.5771i −0.149289 + 0.846658i 0.814534 + 0.580115i \(0.196993\pi\)
−0.963823 + 0.266543i \(0.914119\pi\)
\(432\) 6.15874 + 1.80523i 0.296313 + 0.0868543i
\(433\) 8.99091 10.7149i 0.432076 0.514928i −0.505444 0.862859i \(-0.668671\pi\)
0.937520 + 0.347932i \(0.113116\pi\)
\(434\) −6.37962 + 17.5279i −0.306231 + 0.841364i
\(435\) −0.206543 9.69001i −0.00990300 0.464600i
\(436\) −9.32431 + 5.38339i −0.446554 + 0.257818i
\(437\) 2.45981 + 19.4793i 0.117669 + 0.931821i
\(438\) −1.44254 + 9.34095i −0.0689270 + 0.446328i
\(439\) −4.96718 5.91965i −0.237070 0.282529i 0.634371 0.773028i \(-0.281259\pi\)
−0.871442 + 0.490499i \(0.836815\pi\)
\(440\) 3.49404 + 19.8157i 0.166572 + 0.944675i
\(441\) 5.48566 + 8.62997i 0.261222 + 0.410951i
\(442\) −2.28808 + 1.91993i −0.108833 + 0.0913215i
\(443\) −2.77933 + 3.31228i −0.132050 + 0.157371i −0.828018 0.560702i \(-0.810531\pi\)
0.695968 + 0.718073i \(0.254976\pi\)
\(444\) −0.484858 1.24868i −0.0230103 0.0592595i
\(445\) 2.97579 + 1.71807i 0.141066 + 0.0814444i
\(446\) 7.61114 9.07060i 0.360398 0.429505i
\(447\) −10.0827 + 29.6535i −0.476895 + 1.40256i
\(448\) 14.0104 0.661927
\(449\) 16.3492 28.3177i 0.771568 1.33640i −0.165135 0.986271i \(-0.552806\pi\)
0.936703 0.350124i \(-0.113861\pi\)
\(450\) 4.70893 9.02351i 0.221981 0.425372i
\(451\) 20.0502 + 23.8949i 0.944127 + 1.12517i
\(452\) −5.37816 + 1.95749i −0.252968 + 0.0920726i
\(453\) −0.481010 22.5666i −0.0225998 1.06027i
\(454\) −3.75017 21.2683i −0.176004 0.998170i
\(455\) −0.683336 1.18357i −0.0320353 0.0554868i
\(456\) 22.3864 + 4.58786i 1.04834 + 0.214846i
\(457\) 2.41382 4.18086i 0.112914 0.195573i −0.804030 0.594589i \(-0.797315\pi\)
0.916944 + 0.399016i \(0.130648\pi\)
\(458\) −7.30199 2.65771i −0.341200 0.124186i
\(459\) 7.67670 26.1899i 0.358318 1.22244i
\(460\) −4.23564 3.55412i −0.197488 0.165712i
\(461\) 19.8871 3.50664i 0.926236 0.163320i 0.309869 0.950779i \(-0.399715\pi\)
0.616367 + 0.787459i \(0.288604\pi\)
\(462\) −16.8778 + 3.34835i −0.785227 + 0.155779i
\(463\) −40.6046 −1.88706 −0.943529 0.331290i \(-0.892516\pi\)
−0.943529 + 0.331290i \(0.892516\pi\)
\(464\) −2.64721 + 4.58510i −0.122894 + 0.212858i
\(465\) −4.20701 21.2060i −0.195095 0.983404i
\(466\) 28.4969 + 5.02476i 1.32009 + 0.232768i
\(467\) −7.04539 + 4.06766i −0.326022 + 0.188229i −0.654074 0.756431i \(-0.726941\pi\)
0.328052 + 0.944660i \(0.393608\pi\)
\(468\) 0.470125 1.48581i 0.0217315 0.0686818i
\(469\) −29.0380 5.12018i −1.34085 0.236428i
\(470\) 1.59713 + 9.05776i 0.0736700 + 0.417803i
\(471\) −7.41095 37.3559i −0.341478 1.72127i
\(472\) 15.2265 12.7766i 0.700857 0.588089i
\(473\) −17.9138 + 3.15868i −0.823675 + 0.145236i
\(474\) 15.5921 19.4073i 0.716168 0.891405i
\(475\) 5.56784 13.2435i 0.255470 0.607653i
\(476\) 9.35966i 0.428999i
\(477\) 14.0183 5.78999i 0.641853 0.265105i
\(478\) −27.2025 + 4.79654i −1.24422 + 0.219389i
\(479\) 4.64845 + 12.7715i 0.212393 + 0.583545i 0.999444 0.0333431i \(-0.0106154\pi\)
−0.787051 + 0.616888i \(0.788393\pi\)
\(480\) −9.24675 + 5.60468i −0.422055 + 0.255818i
\(481\) 0.426944 0.155395i 0.0194670 0.00708540i
\(482\) 5.90469i 0.268951i
\(483\) 9.26012 11.5259i 0.421350 0.524449i
\(484\) 2.43829 13.8282i 0.110832 0.628557i
\(485\) 2.82213 1.02717i 0.128146 0.0466414i
\(486\) −4.45147 15.4170i −0.201923 0.699330i
\(487\) −0.548867 0.316888i −0.0248715 0.0143596i 0.487513 0.873116i \(-0.337904\pi\)
−0.512384 + 0.858756i \(0.671238\pi\)
\(488\) −5.43879 4.56369i −0.246202 0.206588i
\(489\) 4.03357 7.34343i 0.182404 0.332081i
\(490\) 4.51097 + 0.795405i 0.203785 + 0.0359327i
\(491\) −3.33772 3.97775i −0.150629 0.179513i 0.685453 0.728117i \(-0.259604\pi\)
−0.836083 + 0.548604i \(0.815160\pi\)
\(492\) −4.80290 + 8.74406i −0.216531 + 0.394213i
\(493\) 19.4980 + 11.2572i 0.878145 + 0.506997i
\(494\) −0.549299 + 2.41719i −0.0247141 + 0.108754i
\(495\) 14.7173 13.4586i 0.661495 0.604921i
\(496\) −4.03913 + 11.0974i −0.181362 + 0.498289i
\(497\) −0.643783 0.234318i −0.0288776 0.0105106i
\(498\) 14.0730 2.79190i 0.630625 0.125108i
\(499\) −0.197698 0.0719561i −0.00885017 0.00322120i 0.337591 0.941293i \(-0.390388\pi\)
−0.346441 + 0.938072i \(0.612610\pi\)
\(500\) 3.48294 + 9.56930i 0.155762 + 0.427952i
\(501\) −3.11036 + 1.20775i −0.138961 + 0.0539581i
\(502\) 4.59673i 0.205162i
\(503\) 10.5560 + 29.0023i 0.470668 + 1.29315i 0.917216 + 0.398390i \(0.130431\pi\)
−0.446548 + 0.894760i \(0.647347\pi\)
\(504\) −9.23124 14.5225i −0.411192 0.646883i
\(505\) −5.39911 9.35154i −0.240257 0.416138i
\(506\) −11.8062 20.4489i −0.524849 0.909066i
\(507\) −20.8176 7.07834i −0.924542 0.314360i
\(508\) 0.999644 2.74650i 0.0443520 0.121856i
\(509\) 3.08959 17.5219i 0.136944 0.776646i −0.836543 0.547902i \(-0.815427\pi\)
0.973486 0.228745i \(-0.0734621\pi\)
\(510\) −6.33672 10.4545i −0.280595 0.462933i
\(511\) 7.69568 6.45744i 0.340437 0.285660i
\(512\) 13.3834 0.591467
\(513\) −8.06530 21.1649i −0.356092 0.934451i
\(514\) 14.7662 0.651309
\(515\) −14.0029 + 11.7498i −0.617042 + 0.517760i
\(516\) −3.01557 4.97516i −0.132753 0.219019i
\(517\) 6.05236 34.3246i 0.266182 1.50960i
\(518\) 0.548745 1.50766i 0.0241105 0.0662430i
\(519\) −1.15829 0.393837i −0.0508431 0.0172875i
\(520\) −1.09140 1.89037i −0.0478613 0.0828982i
\(521\) 14.9254 + 25.8516i 0.653895 + 1.13258i 0.982170 + 0.187997i \(0.0601997\pi\)
−0.328274 + 0.944582i \(0.606467\pi\)
\(522\) 13.2258 0.564074i 0.578877 0.0246888i
\(523\) −15.1156 41.5297i −0.660958 1.81597i −0.572529 0.819885i \(-0.694038\pi\)
−0.0884291 0.996082i \(-0.528185\pi\)
\(524\) 12.1565i 0.531060i
\(525\) −10.0847 + 3.91588i −0.440133 + 0.170903i
\(526\) −3.35402 9.21508i −0.146242 0.401797i
\(527\) 47.1914 + 17.1763i 2.05569 + 0.748211i
\(528\) −10.6859 + 2.11995i −0.465043 + 0.0922588i
\(529\) −2.54738 0.927172i −0.110756 0.0403118i
\(530\) 2.32363 6.38411i 0.100932 0.277308i
\(531\) −18.7831 5.94314i −0.815117 0.257910i
\(532\) −4.69598 6.18737i −0.203596 0.268256i
\(533\) −2.93049 1.69192i −0.126934 0.0732852i
\(534\) −2.25943 + 4.11347i −0.0977750 + 0.178007i
\(535\) 2.12569 + 2.53329i 0.0919014 + 0.109524i
\(536\) −46.3786 8.17780i −2.00325 0.353227i
\(537\) −16.8748 + 30.7219i −0.728202 + 1.32575i
\(538\) −5.39197 4.52440i −0.232464 0.195061i
\(539\) −15.0326 8.67907i −0.647499 0.373834i
\(540\) 5.71638 + 2.82977i 0.245994 + 0.121774i
\(541\) 27.4781 10.0012i 1.18138 0.429986i 0.324689 0.945821i \(-0.394740\pi\)
0.856688 + 0.515834i \(0.172518\pi\)
\(542\) −5.03917 + 28.5785i −0.216451 + 1.22755i
\(543\) 13.9553 17.3700i 0.598879 0.745417i
\(544\) 25.1172i 1.07689i
\(545\) 14.0457 5.11223i 0.601653 0.218984i
\(546\) 1.59629 0.967551i 0.0683149 0.0414074i
\(547\) 0.732656 + 2.01296i 0.0313261 + 0.0860678i 0.954370 0.298627i \(-0.0965288\pi\)
−0.923044 + 0.384695i \(0.874307\pi\)
\(548\) −7.88858 + 1.39097i −0.336983 + 0.0594192i
\(549\) −0.925557 + 6.97588i −0.0395018 + 0.297723i
\(550\) 17.2773i 0.736708i
\(551\) 18.5375 2.34088i 0.789723 0.0997249i
\(552\) 14.7900 18.4089i 0.629504 0.783535i
\(553\) −26.0583 + 4.59478i −1.10811 + 0.195390i
\(554\) −2.33908 + 1.96272i −0.0993780 + 0.0833881i
\(555\) 0.361867 + 1.82404i 0.0153604 + 0.0774262i
\(556\) 0.518011 + 2.93779i 0.0219686 + 0.124590i
\(557\) 0.460074 + 0.0811235i 0.0194940 + 0.00343731i 0.183387 0.983041i \(-0.441294\pi\)
−0.163893 + 0.986478i \(0.552405\pi\)
\(558\) 28.8345 6.36193i 1.22066 0.269322i
\(559\) 1.70893 0.986652i 0.0722801 0.0417309i
\(560\) −3.00914 0.530593i −0.127160 0.0224217i
\(561\) 9.01500 + 45.4413i 0.380614 + 1.91853i
\(562\) −6.98171 + 12.0927i −0.294506 + 0.510099i
\(563\) 34.7538 1.46470 0.732350 0.680929i \(-0.238424\pi\)
0.732350 + 0.680929i \(0.238424\pi\)
\(564\) 10.9343 2.16923i 0.460416 0.0913409i
\(565\) 7.82478 1.37972i 0.329191 0.0580452i
\(566\) −5.01758 4.21025i −0.210904 0.176970i
\(567\) −7.23929 + 15.4432i −0.304022 + 0.648555i
\(568\) −1.02823 0.374246i −0.0431436 0.0157030i
\(569\) 1.65136 2.86024i 0.0692287 0.119908i −0.829333 0.558754i \(-0.811280\pi\)
0.898562 + 0.438847i \(0.144613\pi\)
\(570\) −9.43428 3.73183i −0.395158 0.156309i
\(571\) −16.4743 28.5343i −0.689428 1.19412i −0.972023 0.234885i \(-0.924529\pi\)
0.282595 0.959239i \(-0.408805\pi\)
\(572\) 0.459362 + 2.60517i 0.0192069 + 0.108928i
\(573\) −0.136122 6.38617i −0.00568657 0.266786i
\(574\) −11.2287 + 4.08691i −0.468677 + 0.170584i
\(575\) −9.54262 11.3725i −0.397955 0.474264i
\(576\) −11.8978 18.7175i −0.495743 0.779898i
\(577\) −12.2898 + 21.2865i −0.511630 + 0.886169i 0.488279 + 0.872687i \(0.337625\pi\)
−0.999909 + 0.0134815i \(0.995709\pi\)
\(578\) 10.8980 0.453296
\(579\) −9.49994 + 27.9396i −0.394804 + 1.16113i
\(580\) −3.38228 + 4.03085i −0.140442 + 0.167372i
\(581\) −13.2064 7.62469i −0.547892 0.316326i
\(582\) 1.48475 + 3.82374i 0.0615449 + 0.158499i
\(583\) −16.5488 + 19.7221i −0.685383 + 0.816807i
\(584\) 12.2913 10.3136i 0.508618 0.426781i
\(585\) −1.00093 + 1.91803i −0.0413833 + 0.0793009i
\(586\) 2.20073 + 12.4809i 0.0909112 + 0.515583i
\(587\) 29.8376 + 35.5590i 1.23153 + 1.46768i 0.835547 + 0.549419i \(0.185151\pi\)
0.395981 + 0.918259i \(0.370405\pi\)
\(588\) 0.847303 5.48660i 0.0349422 0.226263i
\(589\) 39.8145 12.3225i 1.64053 0.507738i
\(590\) −7.64247 + 4.41238i −0.314635 + 0.181655i
\(591\) −0.585658 27.4762i −0.0240908 1.13022i
\(592\) 0.347427 0.954549i 0.0142792 0.0392317i
\(593\) 13.8322 16.4846i 0.568020 0.676940i −0.403203 0.915110i \(-0.632103\pi\)
0.971223 + 0.238171i \(0.0765477\pi\)
\(594\) 18.8063 + 19.7049i 0.771630 + 0.808503i
\(595\) −2.25633 + 12.7963i −0.0925006 + 0.524597i
\(596\) 14.7259 8.50202i 0.603198 0.348256i
\(597\) 24.4062 + 19.6083i 0.998879 + 0.802515i
\(598\) 1.96224 + 1.64652i 0.0802421 + 0.0673311i
\(599\) 17.5885 + 14.7585i 0.718648 + 0.603017i 0.927011 0.375034i \(-0.122369\pi\)
−0.208363 + 0.978052i \(0.566814\pi\)
\(600\) −16.1070 + 6.25432i −0.657567 + 0.255332i
\(601\) 8.75623 5.05541i 0.357174 0.206215i −0.310666 0.950519i \(-0.600552\pi\)
0.667840 + 0.744304i \(0.267219\pi\)
\(602\) 1.21003 6.86244i 0.0493173 0.279692i
\(603\) 17.8191 + 43.1422i 0.725650 + 1.75689i
\(604\) −7.87685 + 9.38727i −0.320505 + 0.381963i
\(605\) −6.66714 + 18.3178i −0.271058 + 0.744725i
\(606\) 12.6125 7.64472i 0.512346 0.310546i
\(607\) −23.3384 + 13.4744i −0.947277 + 0.546911i −0.892234 0.451573i \(-0.850863\pi\)
−0.0550432 + 0.998484i \(0.517530\pi\)
\(608\) −12.6019 16.6042i −0.511076 0.673388i
\(609\) −10.9687 8.81240i −0.444473 0.357096i
\(610\) 2.02615 + 2.41468i 0.0820366 + 0.0977674i
\(611\) 0.656574 + 3.72361i 0.0265621 + 0.150641i
\(612\) −12.5043 + 7.94839i −0.505457 + 0.321295i
\(613\) 22.9952 19.2953i 0.928768 0.779329i −0.0468276 0.998903i \(-0.514911\pi\)
0.975596 + 0.219574i \(0.0704667\pi\)
\(614\) −2.75218 + 3.27992i −0.111069 + 0.132367i
\(615\) 8.67433 10.7968i 0.349783 0.435370i
\(616\) 25.2968 + 14.6051i 1.01924 + 0.588456i
\(617\) −15.8259 + 18.8605i −0.637125 + 0.759296i −0.983913 0.178648i \(-0.942828\pi\)
0.346788 + 0.937943i \(0.387272\pi\)
\(618\) −16.4521 18.7791i −0.661800 0.755407i
\(619\) −40.0436 −1.60949 −0.804743 0.593623i \(-0.797697\pi\)
−0.804743 + 0.593623i \(0.797697\pi\)
\(620\) −5.86855 + 10.1646i −0.235687 + 0.408221i
\(621\) −23.2623 2.58329i −0.933483 0.103664i
\(622\) −10.2184 12.1779i −0.409722 0.488288i
\(623\) 4.68742 1.70608i 0.187798 0.0683528i
\(624\) 1.01066 0.612586i 0.0404588 0.0245231i
\(625\) 0.406681 + 2.30640i 0.0162672 + 0.0922560i
\(626\) 3.50907 + 6.07789i 0.140251 + 0.242922i
\(627\) 28.7586 + 25.5167i 1.14851 + 1.01904i
\(628\) −10.3379 + 17.9057i −0.412526 + 0.714516i
\(629\) −4.05919 1.47742i −0.161851 0.0589088i
\(630\) 2.91655 + 7.06132i 0.116198 + 0.281330i
\(631\) 12.0925 + 10.1469i 0.481397 + 0.403940i 0.850931 0.525277i \(-0.176038\pi\)
−0.369534 + 0.929217i \(0.620483\pi\)
\(632\) −41.6195 + 7.33864i −1.65554 + 0.291916i
\(633\) −30.4523 34.7596i −1.21037 1.38157i
\(634\) 9.68917 0.384806
\(635\) −2.02879 + 3.51396i −0.0805099 + 0.139447i
\(636\) −7.79581 2.65071i −0.309124 0.105107i
\(637\) 1.85444 + 0.326988i 0.0734757 + 0.0129557i
\(638\) −19.4602 + 11.2354i −0.770438 + 0.444813i
\(639\) 0.233668 + 1.05907i 0.00924377 + 0.0418961i
\(640\) 2.51194 + 0.442923i 0.0992933 + 0.0175081i
\(641\) −3.66739 20.7988i −0.144853 0.821503i −0.967485 0.252929i \(-0.918606\pi\)
0.822632 0.568574i \(-0.192505\pi\)
\(642\) −3.39737 + 2.97638i −0.134083 + 0.117468i
\(643\) 4.26135 3.57570i 0.168051 0.141012i −0.554883 0.831928i \(-0.687237\pi\)
0.722935 + 0.690916i \(0.242793\pi\)
\(644\) −7.90485 + 1.39384i −0.311495 + 0.0549249i
\(645\) 2.92345 + 7.52888i 0.115111 + 0.296449i
\(646\) 18.7729 14.2479i 0.738609 0.560576i
\(647\) 19.5668i 0.769252i −0.923073 0.384626i \(-0.874330\pi\)
0.923073 0.384626i \(-0.125670\pi\)
\(648\) −11.5624 + 24.6655i −0.454214 + 0.968952i
\(649\) 32.9336 5.80708i 1.29276 0.227948i
\(650\) −0.641043 1.76125i −0.0251438 0.0690820i
\(651\) −27.5082 15.1096i −1.07813 0.592191i
\(652\) −4.27426 + 1.55570i −0.167393 + 0.0609260i
\(653\) 25.3016i 0.990127i 0.868857 + 0.495064i \(0.164855\pi\)
−0.868857 + 0.495064i \(0.835145\pi\)
\(654\) 7.38961 + 19.0308i 0.288956 + 0.744162i
\(655\) −2.93057 + 16.6201i −0.114507 + 0.649400i
\(656\) −7.10923 + 2.58755i −0.277569 + 0.101027i
\(657\) −15.1623 4.79749i −0.591538 0.187168i
\(658\) 11.5632 + 6.67601i 0.450780 + 0.260258i
\(659\) −26.3078 22.0749i −1.02481 0.859915i −0.0345826 0.999402i \(-0.511010\pi\)
−0.990224 + 0.139487i \(0.955455\pi\)
\(660\) −10.8248 + 0.230731i −0.421353 + 0.00898118i
\(661\) 18.1920 + 3.20774i 0.707587 + 0.124767i 0.515849 0.856679i \(-0.327476\pi\)
0.191738 + 0.981446i \(0.438588\pi\)
\(662\) −22.9362 27.3343i −0.891440 1.06238i
\(663\) −2.60500 4.29780i −0.101170 0.166913i
\(664\) −21.0928 12.1779i −0.818560 0.472596i
\(665\) 4.92863 + 9.59126i 0.191124 + 0.371933i
\(666\) −2.48021 + 0.547223i −0.0961063 + 0.0212045i
\(667\) 6.60378 18.1437i 0.255699 0.702528i
\(668\) 1.70220 + 0.619551i 0.0658602 + 0.0239712i
\(669\) 13.1287 + 14.9856i 0.507583 + 0.579378i
\(670\) 19.6476 + 7.15113i 0.759051 + 0.276272i
\(671\) −4.08547 11.2247i −0.157718 0.433326i
\(672\) −2.39569 + 15.5129i −0.0924156 + 0.598425i
\(673\) 22.9356i 0.884104i −0.896989 0.442052i \(-0.854251\pi\)
0.896989 0.442052i \(-0.145749\pi\)
\(674\) −0.263730 0.724593i −0.0101585 0.0279103i
\(675\) 13.7956 + 10.1475i 0.530995 + 0.390579i
\(676\) 5.96866 + 10.3380i 0.229564 + 0.397616i
\(677\) 17.1278 + 29.6662i 0.658274 + 1.14016i 0.981062 + 0.193693i \(0.0620465\pi\)
−0.322788 + 0.946471i \(0.604620\pi\)
\(678\) 2.11177 + 10.6446i 0.0811019 + 0.408805i
\(679\) 1.49114 4.09688i 0.0572248 0.157224i
\(680\) −3.60375 + 20.4379i −0.138197 + 0.783756i
\(681\) 36.3294 0.774364i 1.39214 0.0296737i
\(682\) −38.3963 + 32.2184i −1.47027 + 1.23370i
\(683\) −20.2934 −0.776507 −0.388254 0.921553i \(-0.626922\pi\)
−0.388254 + 0.921553i \(0.626922\pi\)
\(684\) −4.27828 + 11.5281i −0.163584 + 0.440790i
\(685\) 11.1204 0.424888
\(686\) 15.5547 13.0520i 0.593883 0.498327i
\(687\) 6.29455 11.4597i 0.240152 0.437216i
\(688\) 0.766110 4.34483i 0.0292077 0.165645i
\(689\) 0.955235 2.62449i 0.0363916 0.0999850i
\(690\) −7.88584 + 6.90866i −0.300209 + 0.263008i
\(691\) 18.5303 + 32.0954i 0.704925 + 1.22097i 0.966719 + 0.255842i \(0.0823527\pi\)
−0.261793 + 0.965124i \(0.584314\pi\)
\(692\) 0.332095 + 0.575205i 0.0126243 + 0.0218660i
\(693\) −1.23366 28.9254i −0.0468627 1.09879i
\(694\) 5.04470 + 13.8602i 0.191494 + 0.526126i
\(695\) 4.14134i 0.157090i
\(696\) −17.5188 14.0749i −0.664050 0.533508i
\(697\) 11.0035 + 30.2318i 0.416786 + 1.14511i
\(698\) 0.109911 + 0.0400043i 0.00416018 + 0.00151418i
\(699\) −15.6735 + 46.0961i −0.592825 + 1.74351i
\(700\) 5.51906 + 2.00877i 0.208601 + 0.0759244i
\(701\) −0.0851016 + 0.233815i −0.00321424 + 0.00883106i −0.941289 0.337601i \(-0.890385\pi\)
0.938075 + 0.346432i \(0.112607\pi\)
\(702\) −2.64822 1.31095i −0.0999508 0.0494786i
\(703\) −3.42466 + 1.05992i −0.129163 + 0.0399757i
\(704\) 32.6042 + 18.8240i 1.22882 + 0.709457i
\(705\) −15.4720 + 0.329787i −0.582709 + 0.0124205i
\(706\) −2.80418 3.34189i −0.105537 0.125774i
\(707\) −15.4376 2.72207i −0.580593 0.102374i
\(708\) 5.54399 + 9.14661i 0.208356 + 0.343751i
\(709\) 9.22851 + 7.74364i 0.346584 + 0.290819i 0.799417 0.600777i \(-0.205142\pi\)
−0.452833 + 0.891596i \(0.649586\pi\)
\(710\) 0.420719 + 0.242902i 0.0157893 + 0.00911597i
\(711\) 28.2677 + 30.9113i 1.06012 + 1.15927i
\(712\) 7.48662 2.72491i 0.280573 0.102120i
\(713\) 7.47876 42.4142i 0.280082 1.58842i
\(714\) −17.5391 2.70859i −0.656385 0.101367i
\(715\) 3.67246i 0.137342i
\(716\) 17.8818 6.50843i 0.668273 0.243231i
\(717\) −0.990426 46.4660i −0.0369881 1.73530i
\(718\) −11.8656 32.6004i −0.442819 1.21664i
\(719\) 45.5717 8.03553i 1.69954 0.299675i 0.762006 0.647570i \(-0.224215\pi\)
0.937533 + 0.347896i \(0.113104\pi\)
\(720\) 1.84656 + 4.47074i 0.0688171 + 0.166615i
\(721\) 26.5364i 0.988267i
\(722\) 5.26160 18.8376i 0.195817 0.701064i
\(723\) −9.81871 1.51632i −0.365162 0.0563925i
\(724\) −11.9129 + 2.10056i −0.442738 + 0.0780667i
\(725\) −10.8226 + 9.08125i −0.401942 + 0.337269i
\(726\) −25.2072 8.57089i −0.935527 0.318095i
\(727\) 1.99292 + 11.3024i 0.0739133 + 0.419183i 0.999203 + 0.0399215i \(0.0127108\pi\)
−0.925290 + 0.379261i \(0.876178\pi\)
\(728\) −3.12065 0.550254i −0.115659 0.0203938i
\(729\) 26.7796 3.44312i 0.991836 0.127523i
\(730\) −6.16924 + 3.56181i −0.228334 + 0.131829i
\(731\) −18.4762 3.25786i −0.683368 0.120496i
\(732\) 2.87359 2.51751i 0.106211 0.0930498i
\(733\) −4.59735 + 7.96285i −0.169807 + 0.294115i −0.938352 0.345681i \(-0.887648\pi\)
0.768545 + 0.639796i \(0.220981\pi\)
\(734\) 36.3964 1.34341
\(735\) −2.48106 + 7.29688i −0.0915154 + 0.269149i
\(736\) −21.2131 + 3.74045i −0.781926 + 0.137875i
\(737\) −60.6962 50.9302i −2.23577 1.87604i
\(738\) 14.9956 + 11.5306i 0.551997 + 0.424448i
\(739\) −15.7479 5.73176i −0.579295 0.210846i 0.0357194 0.999362i \(-0.488628\pi\)
−0.615015 + 0.788516i \(0.710850\pi\)
\(740\) 0.504786 0.874314i 0.0185563 0.0321404i
\(741\) −3.87840 1.53414i −0.142477 0.0563581i
\(742\) −4.93131 8.54127i −0.181034 0.313560i
\(743\) −3.31059 18.7753i −0.121454 0.688798i −0.983351 0.181715i \(-0.941835\pi\)
0.861897 0.507083i \(-0.169276\pi\)
\(744\) −43.9353 24.1326i −1.61075 0.884744i
\(745\) −22.1825 + 8.07377i −0.812704 + 0.295800i
\(746\) −16.1189 19.2098i −0.590156 0.703320i
\(747\) 1.02864 + 24.1184i 0.0376360 + 0.882447i
\(748\) 12.5754 21.7813i 0.459804 0.796403i
\(749\) 4.80075 0.175415
\(750\) 18.9399 3.75744i 0.691587 0.137202i
\(751\) −10.5101 + 12.5255i −0.383520 + 0.457062i −0.922922 0.384987i \(-0.874206\pi\)
0.539402 + 0.842049i \(0.318650\pi\)
\(752\) 7.32101 + 4.22679i 0.266970 + 0.154135i
\(753\) −7.64375 1.18044i −0.278554 0.0430175i
\(754\) 1.56691 1.86737i 0.0570635 0.0680056i
\(755\) 13.0320 10.9352i 0.474284 0.397971i
\(756\) 8.48106 3.71643i 0.308453 0.135165i
\(757\) 1.53487 + 8.70469i 0.0557858 + 0.316377i 0.999913 0.0132048i \(-0.00420333\pi\)
−0.944127 + 0.329582i \(0.893092\pi\)
\(758\) 3.02151 + 3.60089i 0.109746 + 0.130790i
\(759\) 37.0357 14.3809i 1.34431 0.521992i
\(760\) 7.87187 + 15.3189i 0.285543 + 0.555675i
\(761\) −2.25718 + 1.30318i −0.0818227 + 0.0472404i −0.540353 0.841438i \(-0.681709\pi\)
0.458530 + 0.888679i \(0.348376\pi\)
\(762\) −4.85739 2.66805i −0.175965 0.0966532i
\(763\) 7.42143 20.3902i 0.268674 0.738175i
\(764\) −2.22908 + 2.65652i −0.0806454 + 0.0961094i
\(765\) 19.0117 7.85242i 0.687369 0.283905i
\(766\) 0.890598 5.05083i 0.0321786 0.182494i
\(767\) −3.14179 + 1.81391i −0.113444 + 0.0654966i
\(768\) −4.44036 + 28.7530i −0.160228 + 1.03753i
\(769\) 21.1464 + 17.7439i 0.762558 + 0.639862i 0.938791 0.344486i \(-0.111947\pi\)
−0.176233 + 0.984348i \(0.556391\pi\)
\(770\) −9.93448 8.33602i −0.358014 0.300409i
\(771\) −3.79194 + 24.5542i −0.136564