Properties

Label 576.2.bm.a.205.65
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.65
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.65

$q$-expansion

\(f(q)\) \(=\) \(q+(0.782397 - 1.17807i) q^{2} +(-0.422226 + 1.67980i) q^{3} +(-0.775711 - 1.84344i) q^{4} +(-0.0860861 - 0.0981624i) q^{5} +(1.64858 + 1.81168i) q^{6} +(-3.69234 - 0.486106i) q^{7} +(-2.77862 - 0.528457i) q^{8} +(-2.64345 - 1.41851i) q^{9} +O(q^{10})\) \(q+(0.782397 - 1.17807i) q^{2} +(-0.422226 + 1.67980i) q^{3} +(-0.775711 - 1.84344i) q^{4} +(-0.0860861 - 0.0981624i) q^{5} +(1.64858 + 1.81168i) q^{6} +(-3.69234 - 0.486106i) q^{7} +(-2.77862 - 0.528457i) q^{8} +(-2.64345 - 1.41851i) q^{9} +(-0.182996 + 0.0246138i) q^{10} +(2.51386 + 5.09761i) q^{11} +(3.42414 - 0.524690i) q^{12} +(2.15615 + 6.35182i) q^{13} +(-3.46154 + 3.96952i) q^{14} +(0.201241 - 0.103161i) q^{15} +(-2.79654 + 2.85995i) q^{16} +(-0.490212 - 0.490212i) q^{17} +(-3.73933 + 2.00434i) q^{18} +(-0.255708 + 1.28553i) q^{19} +(-0.114179 + 0.234840i) q^{20} +(2.37556 - 5.99714i) q^{21} +(7.97219 + 1.02684i) q^{22} +(0.753805 + 5.72572i) q^{23} +(2.06091 - 4.44440i) q^{24} +(0.650406 - 4.94032i) q^{25} +(9.16987 + 2.42954i) q^{26} +(3.49895 - 3.84153i) q^{27} +(1.96808 + 7.18369i) q^{28} +(-7.24329 + 0.474750i) q^{29} +(0.0359195 - 0.317789i) q^{30} +(-4.69271 + 2.70934i) q^{31} +(1.18123 + 5.53215i) q^{32} +(-9.62437 + 2.07044i) q^{33} +(-0.961046 + 0.193965i) q^{34} +(0.270142 + 0.404296i) q^{35} +(-0.564386 + 5.97340i) q^{36} +(0.531839 + 2.67373i) q^{37} +(1.31439 + 1.30704i) q^{38} +(-11.5802 + 0.939998i) q^{39} +(0.187326 + 0.318249i) q^{40} +(-1.02879 - 7.81440i) q^{41} +(-5.20644 - 7.49073i) q^{42} +(-2.75289 + 1.35757i) q^{43} +(7.44710 - 8.58842i) q^{44} +(0.0883200 + 0.381601i) q^{45} +(7.33508 + 3.59174i) q^{46} +(-3.95872 + 1.06074i) q^{47} +(-3.62337 - 5.90518i) q^{48} +(6.63559 + 1.77800i) q^{49} +(-5.31119 - 4.63152i) q^{50} +(1.03044 - 0.616477i) q^{51} +(10.0367 - 8.90192i) q^{52} +(3.43976 - 5.14797i) q^{53} +(-1.78804 - 7.12762i) q^{54} +(0.283985 - 0.685600i) q^{55} +(10.0027 + 3.30195i) q^{56} +(-2.05147 - 0.972324i) q^{57} +(-5.10783 + 8.90456i) q^{58} +(-3.69366 - 4.21181i) q^{59} +(-0.346275 - 0.290953i) q^{60} +(0.118670 + 1.81055i) q^{61} +(-0.479764 + 7.64813i) q^{62} +(9.07097 + 6.52262i) q^{63} +(7.44147 + 2.93677i) q^{64} +(0.437895 - 0.758457i) q^{65} +(-5.09095 + 12.9581i) q^{66} +(7.81845 + 3.85563i) q^{67} +(-0.523414 + 1.28394i) q^{68} +(-9.93633 - 1.15131i) q^{69} +(0.687648 - 0.00192706i) q^{70} +(-2.55726 - 6.17376i) q^{71} +(6.59552 + 5.33845i) q^{72} +(3.06643 - 7.40302i) q^{73} +(3.56596 + 1.46538i) q^{74} +(8.02413 + 3.17849i) q^{75} +(2.56816 - 0.525819i) q^{76} +(-6.80405 - 20.0441i) q^{77} +(-7.95290 + 14.3777i) q^{78} +(4.42103 + 16.4995i) q^{79} +(0.521484 + 0.0283132i) q^{80} +(4.97566 + 7.49952i) q^{81} +(-10.0109 - 4.90198i) q^{82} +(2.87714 + 2.52318i) q^{83} +(-12.8981 + 0.272842i) q^{84} +(-0.00591994 + 0.0903208i) q^{85} +(-0.554529 + 4.30526i) q^{86} +(2.26082 - 12.3677i) q^{87} +(-4.29120 - 15.4928i) q^{88} +(6.87796 - 2.84894i) q^{89} +(0.518656 + 0.194516i) q^{90} +(-4.87359 - 24.5012i) q^{91} +(9.97028 - 5.83110i) q^{92} +(-2.56976 - 9.02676i) q^{93} +(-1.84767 + 5.49358i) q^{94} +(0.148204 - 0.0855655i) q^{95} +(-9.79165 - 0.351595i) q^{96} +(6.08841 + 3.51515i) q^{97} +(7.28628 - 6.42611i) q^{98} +(0.585741 - 17.0412i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.782397 1.17807i 0.553238 0.833023i
\(3\) −0.422226 + 1.67980i −0.243772 + 0.969832i
\(4\) −0.775711 1.84344i −0.387856 0.921720i
\(5\) −0.0860861 0.0981624i −0.0384989 0.0438996i 0.732270 0.681015i \(-0.238461\pi\)
−0.770769 + 0.637115i \(0.780128\pi\)
\(6\) 1.64858 + 1.81168i 0.673029 + 0.739616i
\(7\) −3.69234 0.486106i −1.39557 0.183731i −0.605062 0.796178i \(-0.706852\pi\)
−0.790511 + 0.612448i \(0.790185\pi\)
\(8\) −2.77862 0.528457i −0.982391 0.186838i
\(9\) −2.64345 1.41851i −0.881150 0.472837i
\(10\) −0.182996 + 0.0246138i −0.0578684 + 0.00778356i
\(11\) 2.51386 + 5.09761i 0.757957 + 1.53699i 0.841363 + 0.540470i \(0.181754\pi\)
−0.0834057 + 0.996516i \(0.526580\pi\)
\(12\) 3.42414 0.524690i 0.988463 0.151465i
\(13\) 2.15615 + 6.35182i 0.598009 + 1.76168i 0.646566 + 0.762858i \(0.276204\pi\)
−0.0485573 + 0.998820i \(0.515462\pi\)
\(14\) −3.46154 + 3.96952i −0.925136 + 1.06090i
\(15\) 0.201241 0.103161i 0.0519602 0.0266360i
\(16\) −2.79654 + 2.85995i −0.699136 + 0.714989i
\(17\) −0.490212 0.490212i −0.118894 0.118894i 0.645157 0.764050i \(-0.276792\pi\)
−0.764050 + 0.645157i \(0.776792\pi\)
\(18\) −3.73933 + 2.00434i −0.881370 + 0.472427i
\(19\) −0.255708 + 1.28553i −0.0586635 + 0.294921i −0.998968 0.0454120i \(-0.985540\pi\)
0.940305 + 0.340333i \(0.110540\pi\)
\(20\) −0.114179 + 0.234840i −0.0255311 + 0.0525119i
\(21\) 2.37556 5.99714i 0.518390 1.30868i
\(22\) 7.97219 + 1.02684i 1.69968 + 0.218923i
\(23\) 0.753805 + 5.72572i 0.157179 + 1.19389i 0.870181 + 0.492732i \(0.164002\pi\)
−0.713002 + 0.701162i \(0.752665\pi\)
\(24\) 2.06091 4.44440i 0.420681 0.907209i
\(25\) 0.650406 4.94032i 0.130081 0.988065i
\(26\) 9.16987 + 2.42954i 1.79836 + 0.476472i
\(27\) 3.49895 3.84153i 0.673373 0.739303i
\(28\) 1.96808 + 7.18369i 0.371932 + 1.35759i
\(29\) −7.24329 + 0.474750i −1.34504 + 0.0881589i −0.720840 0.693102i \(-0.756244\pi\)
−0.624205 + 0.781261i \(0.714577\pi\)
\(30\) 0.0359195 0.317789i 0.00655797 0.0580201i
\(31\) −4.69271 + 2.70934i −0.842836 + 0.486611i −0.858227 0.513270i \(-0.828434\pi\)
0.0153915 + 0.999882i \(0.495101\pi\)
\(32\) 1.18123 + 5.53215i 0.208813 + 0.977955i
\(33\) −9.62437 + 2.07044i −1.67539 + 0.360417i
\(34\) −0.961046 + 0.193965i −0.164818 + 0.0332648i
\(35\) 0.270142 + 0.404296i 0.0456623 + 0.0683385i
\(36\) −0.564386 + 5.97340i −0.0940643 + 0.995566i
\(37\) 0.531839 + 2.67373i 0.0874338 + 0.439559i 0.999560 + 0.0296505i \(0.00943945\pi\)
−0.912127 + 0.409909i \(0.865561\pi\)
\(38\) 1.31439 + 1.30704i 0.213221 + 0.212030i
\(39\) −11.5802 + 0.939998i −1.85431 + 0.150520i
\(40\) 0.187326 + 0.318249i 0.0296188 + 0.0503196i
\(41\) −1.02879 7.81440i −0.160669 1.22040i −0.861754 0.507326i \(-0.830634\pi\)
0.701085 0.713078i \(-0.252699\pi\)
\(42\) −5.20644 7.49073i −0.803371 1.15584i
\(43\) −2.75289 + 1.35757i −0.419812 + 0.207028i −0.639911 0.768449i \(-0.721029\pi\)
0.220099 + 0.975478i \(0.429362\pi\)
\(44\) 7.44710 8.58842i 1.12269 1.29475i
\(45\) 0.0883200 + 0.381601i 0.0131660 + 0.0568858i
\(46\) 7.33508 + 3.59174i 1.08150 + 0.529574i
\(47\) −3.95872 + 1.06074i −0.577439 + 0.154724i −0.535706 0.844404i \(-0.679955\pi\)
−0.0417330 + 0.999129i \(0.513288\pi\)
\(48\) −3.62337 5.90518i −0.522989 0.852339i
\(49\) 6.63559 + 1.77800i 0.947942 + 0.254000i
\(50\) −5.31119 4.63152i −0.751115 0.654996i
\(51\) 1.03044 0.616477i 0.144290 0.0863241i
\(52\) 10.0367 8.90192i 1.39183 1.23447i
\(53\) 3.43976 5.14797i 0.472487 0.707127i −0.516308 0.856403i \(-0.672694\pi\)
0.988796 + 0.149275i \(0.0476941\pi\)
\(54\) −1.78804 7.12762i −0.243322 0.969946i
\(55\) 0.283985 0.685600i 0.0382925 0.0924462i
\(56\) 10.0027 + 3.30195i 1.33667 + 0.441241i
\(57\) −2.05147 0.972324i −0.271724 0.128787i
\(58\) −5.10783 + 8.90456i −0.670692 + 1.16923i
\(59\) −3.69366 4.21181i −0.480873 0.548331i 0.459632 0.888109i \(-0.347981\pi\)
−0.940505 + 0.339779i \(0.889648\pi\)
\(60\) −0.346275 0.290953i −0.0447040 0.0375618i
\(61\) 0.118670 + 1.81055i 0.0151941 + 0.231817i 0.998701 + 0.0509482i \(0.0162243\pi\)
−0.983507 + 0.180869i \(0.942109\pi\)
\(62\) −0.479764 + 7.64813i −0.0609300 + 0.971313i
\(63\) 9.07097 + 6.52262i 1.14283 + 0.821773i
\(64\) 7.44147 + 2.93677i 0.930183 + 0.367096i
\(65\) 0.437895 0.758457i 0.0543142 0.0940750i
\(66\) −5.09095 + 12.9581i −0.626652 + 1.59503i
\(67\) 7.81845 + 3.85563i 0.955176 + 0.471041i 0.851953 0.523618i \(-0.175418\pi\)
0.103223 + 0.994658i \(0.467085\pi\)
\(68\) −0.523414 + 1.28394i −0.0634732 + 0.155701i
\(69\) −9.93633 1.15131i −1.19619 0.138601i
\(70\) 0.687648 0.00192706i 0.0821897 0.000230328i
\(71\) −2.55726 6.17376i −0.303490 0.732691i −0.999887 0.0150334i \(-0.995215\pi\)
0.696397 0.717657i \(-0.254785\pi\)
\(72\) 6.59552 + 5.33845i 0.777290 + 0.629143i
\(73\) 3.06643 7.40302i 0.358899 0.866458i −0.636557 0.771230i \(-0.719642\pi\)
0.995455 0.0952281i \(-0.0303581\pi\)
\(74\) 3.56596 + 1.46538i 0.414535 + 0.170346i
\(75\) 8.02413 + 3.17849i 0.926547 + 0.367020i
\(76\) 2.56816 0.525819i 0.294588 0.0603155i
\(77\) −6.80405 20.0441i −0.775394 2.28424i
\(78\) −7.95290 + 14.3777i −0.900488 + 1.62796i
\(79\) 4.42103 + 16.4995i 0.497405 + 1.85634i 0.516123 + 0.856514i \(0.327375\pi\)
−0.0187187 + 0.999825i \(0.505959\pi\)
\(80\) 0.521484 + 0.0283132i 0.0583036 + 0.00316551i
\(81\) 4.97566 + 7.49952i 0.552851 + 0.833280i
\(82\) −10.0109 4.90198i −1.10551 0.541333i
\(83\) 2.87714 + 2.52318i 0.315807 + 0.276955i 0.802544 0.596594i \(-0.203480\pi\)
−0.486737 + 0.873549i \(0.661813\pi\)
\(84\) −12.8981 + 0.272842i −1.40730 + 0.0297695i
\(85\) −0.00591994 + 0.0903208i −0.000642108 + 0.00979667i
\(86\) −0.554529 + 4.30526i −0.0597964 + 0.464249i
\(87\) 2.26082 12.3677i 0.242386 1.32596i
\(88\) −4.29120 15.4928i −0.457443 1.65154i
\(89\) 6.87796 2.84894i 0.729062 0.301987i 0.0128954 0.999917i \(-0.495895\pi\)
0.716166 + 0.697930i \(0.245895\pi\)
\(90\) 0.518656 + 0.194516i 0.0546711 + 0.0205038i
\(91\) −4.87359 24.5012i −0.510891 2.56842i
\(92\) 9.97028 5.83110i 1.03947 0.607934i
\(93\) −2.56976 9.02676i −0.266471 0.936032i
\(94\) −1.84767 + 5.49358i −0.190572 + 0.566620i
\(95\) 0.148204 0.0855655i 0.0152054 0.00877884i
\(96\) −9.79165 0.351595i −0.999356 0.0358845i
\(97\) 6.08841 + 3.51515i 0.618185 + 0.356909i 0.776162 0.630534i \(-0.217164\pi\)
−0.157977 + 0.987443i \(0.550497\pi\)
\(98\) 7.28628 6.42611i 0.736025 0.649135i
\(99\) 0.585741 17.0412i 0.0588692 1.71271i
\(100\) −9.61172 + 2.63328i −0.961172 + 0.263328i
\(101\) −2.35466 0.799300i −0.234298 0.0795333i 0.201821 0.979422i \(-0.435314\pi\)
−0.436119 + 0.899889i \(0.643647\pi\)
\(102\) 0.0799561 1.69626i 0.00791683 0.167955i
\(103\) 6.72786 + 5.16247i 0.662916 + 0.508673i 0.884543 0.466458i \(-0.154470\pi\)
−0.221628 + 0.975131i \(0.571137\pi\)
\(104\) −2.63446 18.7887i −0.258330 1.84239i
\(105\) −0.793197 + 0.283080i −0.0774081 + 0.0276258i
\(106\) −3.37342 8.08004i −0.327656 0.784803i
\(107\) −7.17013 4.79093i −0.693163 0.463157i 0.158423 0.987371i \(-0.449359\pi\)
−0.851586 + 0.524215i \(0.824359\pi\)
\(108\) −9.79581 3.47018i −0.942602 0.333918i
\(109\) −2.52909 + 12.7146i −0.242243 + 1.21784i 0.647745 + 0.761857i \(0.275712\pi\)
−0.889989 + 0.455983i \(0.849288\pi\)
\(110\) −0.585498 0.870966i −0.0558250 0.0830433i
\(111\) −4.71589 0.235538i −0.447613 0.0223563i
\(112\) 11.7160 9.20051i 1.10706 0.869366i
\(113\) −7.07939 1.89692i −0.665973 0.178447i −0.0900327 0.995939i \(-0.528697\pi\)
−0.575940 + 0.817492i \(0.695364\pi\)
\(114\) −2.75053 + 1.65604i −0.257611 + 0.155102i
\(115\) 0.497158 0.566900i 0.0463602 0.0528637i
\(116\) 6.49387 + 12.9843i 0.602941 + 1.20556i
\(117\) 3.31044 19.8492i 0.306051 1.83506i
\(118\) −7.85172 + 1.05609i −0.722809 + 0.0972211i
\(119\) 1.57173 + 2.04832i 0.144081 + 0.187770i
\(120\) −0.613688 + 0.180297i −0.0560218 + 0.0164588i
\(121\) −12.9697 + 16.9025i −1.17906 + 1.53659i
\(122\) 2.22581 + 1.27677i 0.201515 + 0.115593i
\(123\) 13.5610 + 1.57129i 1.22275 + 0.141679i
\(124\) 8.63469 + 6.54907i 0.775418 + 0.588124i
\(125\) −1.08374 + 0.724132i −0.0969327 + 0.0647684i
\(126\) 14.7812 5.58299i 1.31682 0.497372i
\(127\) 15.9961 1.41942 0.709711 0.704493i \(-0.248825\pi\)
0.709711 + 0.704493i \(0.248825\pi\)
\(128\) 9.28190 6.46887i 0.820412 0.571773i
\(129\) −1.11811 5.19750i −0.0984441 0.457615i
\(130\) −0.550910 1.10929i −0.0483180 0.0972909i
\(131\) −10.6853 5.26940i −0.933577 0.460389i −0.0891253 0.996020i \(-0.528407\pi\)
−0.844452 + 0.535631i \(0.820074\pi\)
\(132\) 11.2825 + 16.1359i 0.982012 + 1.40445i
\(133\) 1.56907 4.62232i 0.136055 0.400806i
\(134\) 10.6593 6.19407i 0.920827 0.535086i
\(135\) −0.678305 0.0127624i −0.0583792 0.00109841i
\(136\) 1.10306 + 1.62117i 0.0945864 + 0.139014i
\(137\) 7.36220 + 9.59461i 0.628995 + 0.819723i 0.993779 0.111370i \(-0.0355237\pi\)
−0.364784 + 0.931092i \(0.618857\pi\)
\(138\) −9.13047 + 10.8049i −0.777238 + 0.919778i
\(139\) −7.58228 0.496969i −0.643121 0.0421524i −0.259646 0.965704i \(-0.583606\pi\)
−0.383475 + 0.923551i \(0.625273\pi\)
\(140\) 0.535743 0.811607i 0.0452786 0.0685933i
\(141\) −0.110348 7.09773i −0.00929296 0.597737i
\(142\) −9.27393 1.81770i −0.778251 0.152538i
\(143\) −26.9588 + 26.9588i −2.25441 + 2.25441i
\(144\) 11.4494 3.59322i 0.954117 0.299435i
\(145\) 0.670149 + 0.670149i 0.0556529 + 0.0556529i
\(146\) −6.32213 9.40458i −0.523223 0.778328i
\(147\) −5.78841 + 10.3957i −0.477420 + 0.857426i
\(148\) 4.51632 3.05446i 0.371239 0.251075i
\(149\) −0.802479 + 12.2435i −0.0657417 + 1.00302i 0.829804 + 0.558055i \(0.188452\pi\)
−0.895546 + 0.444969i \(0.853215\pi\)
\(150\) 10.0225 6.96618i 0.818337 0.568786i
\(151\) −3.91208 + 3.00185i −0.318361 + 0.244287i −0.755562 0.655077i \(-0.772636\pi\)
0.437202 + 0.899364i \(0.355970\pi\)
\(152\) 1.38987 3.43688i 0.112733 0.278767i
\(153\) 0.600480 + 1.99122i 0.0485459 + 0.160981i
\(154\) −28.9369 7.66676i −2.33180 0.617805i
\(155\) 0.669932 + 0.227411i 0.0538103 + 0.0182661i
\(156\) 10.7157 + 20.6182i 0.857942 + 1.65078i
\(157\) 6.60763 13.3990i 0.527346 1.06935i −0.456398 0.889776i \(-0.650861\pi\)
0.983744 0.179577i \(-0.0574728\pi\)
\(158\) 22.8966 + 7.70086i 1.82156 + 0.612648i
\(159\) 7.19519 + 7.95171i 0.570616 + 0.630612i
\(160\) 0.441362 0.592194i 0.0348927 0.0468170i
\(161\) 21.5077i 1.69505i
\(162\) 12.7279 + 0.00591671i 1.00000 + 0.000464860i
\(163\) 11.9102 + 17.8249i 0.932880 + 1.39615i 0.918138 + 0.396262i \(0.129693\pi\)
0.0147422 + 0.999891i \(0.495307\pi\)
\(164\) −13.6073 + 7.95822i −1.06255 + 0.621433i
\(165\) 1.03176 + 0.766515i 0.0803227 + 0.0596731i
\(166\) 5.22355 1.41535i 0.405426 0.109852i
\(167\) −9.60004 7.36637i −0.742874 0.570027i 0.166483 0.986044i \(-0.446759\pi\)
−0.909357 + 0.416017i \(0.863426\pi\)
\(168\) −9.77002 + 15.4084i −0.753773 + 1.18878i
\(169\) −25.3830 + 19.4771i −1.95254 + 1.49824i
\(170\) 0.101773 + 0.0776408i 0.00780562 + 0.00595478i
\(171\) 2.49949 3.03552i 0.191141 0.232132i
\(172\) 4.63805 + 4.02170i 0.353648 + 0.306652i
\(173\) −3.28132 2.87764i −0.249474 0.218783i 0.525471 0.850812i \(-0.323889\pi\)
−0.774945 + 0.632029i \(0.782222\pi\)
\(174\) −12.8012 12.3399i −0.970458 0.935484i
\(175\) −4.80304 + 17.9252i −0.363076 + 1.35502i
\(176\) −21.6090 7.06615i −1.62884 0.532631i
\(177\) 8.63455 4.42626i 0.649012 0.332698i
\(178\) 2.02503 10.3317i 0.151782 0.774396i
\(179\) 19.7748 + 3.93345i 1.47804 + 0.294000i 0.867280 0.497820i \(-0.165866\pi\)
0.610755 + 0.791819i \(0.290866\pi\)
\(180\) 0.634949 0.458825i 0.0473263 0.0341988i
\(181\) −3.58053 + 5.35865i −0.266139 + 0.398305i −0.940336 0.340246i \(-0.889490\pi\)
0.674198 + 0.738551i \(0.264490\pi\)
\(182\) −32.6773 13.4282i −2.42220 0.995365i
\(183\) −3.09147 0.565120i −0.228528 0.0417749i
\(184\) 0.931259 16.3079i 0.0686533 1.20224i
\(185\) 0.216676 0.282378i 0.0159304 0.0207608i
\(186\) −12.6448 4.03515i −0.927158 0.295871i
\(187\) 1.26658 3.73123i 0.0926217 0.272855i
\(188\) 5.02623 + 6.47485i 0.366576 + 0.472227i
\(189\) −14.7867 + 12.4834i −1.07557 + 0.908033i
\(190\) 0.0151518 0.241541i 0.00109922 0.0175232i
\(191\) 6.28426 10.8847i 0.454713 0.787587i −0.543958 0.839112i \(-0.683075\pi\)
0.998672 + 0.0515257i \(0.0164084\pi\)
\(192\) −8.07516 + 11.2602i −0.582774 + 0.812634i
\(193\) −8.84300 15.3165i −0.636533 1.10251i −0.986188 0.165629i \(-0.947035\pi\)
0.349655 0.936878i \(-0.386299\pi\)
\(194\) 8.90465 4.42235i 0.639317 0.317507i
\(195\) 1.08916 + 1.05582i 0.0779967 + 0.0756086i
\(196\) −1.86966 13.6115i −0.133547 0.972252i
\(197\) 8.86353 1.76307i 0.631500 0.125613i 0.131046 0.991376i \(-0.458166\pi\)
0.500454 + 0.865763i \(0.333166\pi\)
\(198\) −19.6175 14.0230i −1.39415 0.996573i
\(199\) −0.825122 1.99202i −0.0584913 0.141211i 0.891932 0.452170i \(-0.149350\pi\)
−0.950423 + 0.310959i \(0.899350\pi\)
\(200\) −4.41798 + 13.3836i −0.312398 + 0.946362i
\(201\) −9.77785 + 11.5055i −0.689676 + 0.811534i
\(202\) −2.78391 + 2.14859i −0.195875 + 0.151175i
\(203\) 26.9755 + 1.76807i 1.89331 + 0.124094i
\(204\) −1.93576 1.42134i −0.135530 0.0995139i
\(205\) −0.678516 + 0.773700i −0.0473896 + 0.0540375i
\(206\) 11.3456 3.88681i 0.790487 0.270807i
\(207\) 6.12934 16.2049i 0.426019 1.12632i
\(208\) −24.1957 11.5967i −1.67767 0.804083i
\(209\) −7.19595 + 1.92815i −0.497754 + 0.133373i
\(210\) −0.287106 + 1.15592i −0.0198122 + 0.0797664i
\(211\) −3.10305 + 1.05334i −0.213623 + 0.0725152i −0.426200 0.904629i \(-0.640148\pi\)
0.212577 + 0.977144i \(0.431815\pi\)
\(212\) −12.1582 2.34766i −0.835030 0.161238i
\(213\) 11.4504 1.68895i 0.784570 0.115725i
\(214\) −11.2539 + 4.69853i −0.769304 + 0.321185i
\(215\) 0.370248 + 0.153362i 0.0252507 + 0.0104592i
\(216\) −11.7523 + 8.82512i −0.799645 + 0.600473i
\(217\) 18.6441 7.72264i 1.26564 0.524247i
\(218\) 13.0000 + 12.9273i 0.880470 + 0.875549i
\(219\) 11.1409 + 8.27674i 0.752829 + 0.559290i
\(220\) −1.48415 + 0.00831844i −0.100062 + 0.000560829i
\(221\) 2.05677 4.17071i 0.138353 0.280552i
\(222\) −3.96718 + 5.37138i −0.266260 + 0.360503i
\(223\) −12.9980 7.50438i −0.870409 0.502531i −0.00292454 0.999996i \(-0.500931\pi\)
−0.867484 + 0.497465i \(0.834264\pi\)
\(224\) −1.67228 21.0008i −0.111734 1.40317i
\(225\) −8.72722 + 12.1369i −0.581814 + 0.809126i
\(226\) −7.77359 + 6.85589i −0.517092 + 0.456047i
\(227\) 14.5912 0.956359i 0.968453 0.0634758i 0.427040 0.904233i \(-0.359556\pi\)
0.541413 + 0.840757i \(0.317890\pi\)
\(228\) −0.201074 + 4.53600i −0.0133164 + 0.300404i
\(229\) 13.6567 11.9766i 0.902460 0.791436i −0.0761636 0.997095i \(-0.524267\pi\)
0.978624 + 0.205659i \(0.0659338\pi\)
\(230\) −0.278875 1.02923i −0.0183885 0.0678653i
\(231\) 36.5429 2.96630i 2.40435 0.195168i
\(232\) 20.3772 + 2.50862i 1.33783 + 0.164699i
\(233\) 2.72176 + 1.12739i 0.178309 + 0.0738578i 0.470052 0.882639i \(-0.344235\pi\)
−0.291743 + 0.956497i \(0.594235\pi\)
\(234\) −20.7938 19.4299i −1.35933 1.27017i
\(235\) 0.444916 + 0.297283i 0.0290231 + 0.0193926i
\(236\) −4.89901 + 10.0762i −0.318898 + 0.655903i
\(237\) −29.5825 + 0.459917i −1.92159 + 0.0298748i
\(238\) 3.64279 0.249016i 0.236127 0.0161413i
\(239\) −0.757661 + 2.82763i −0.0490090 + 0.182904i −0.986091 0.166204i \(-0.946849\pi\)
0.937082 + 0.349108i \(0.113516\pi\)
\(240\) −0.267745 + 0.864033i −0.0172828 + 0.0557731i
\(241\) 7.48127 + 27.9205i 0.481911 + 1.79852i 0.593585 + 0.804771i \(0.297712\pi\)
−0.111674 + 0.993745i \(0.535621\pi\)
\(242\) 9.76486 + 28.5037i 0.627709 + 1.83229i
\(243\) −14.6985 + 5.19161i −0.942912 + 0.333042i
\(244\) 3.24559 1.62322i 0.207777 0.103916i
\(245\) −0.396699 0.804427i −0.0253442 0.0513930i
\(246\) 12.4612 14.7465i 0.794496 0.940201i
\(247\) −8.71682 + 1.14759i −0.554638 + 0.0730194i
\(248\) 14.4710 5.04832i 0.918911 0.320569i
\(249\) −5.45324 + 3.76766i −0.345585 + 0.238766i
\(250\) 0.00516562 + 1.84328i 0.000326702 + 0.116580i
\(251\) 2.37007 0.471436i 0.149597 0.0297568i −0.119723 0.992807i \(-0.538201\pi\)
0.269321 + 0.963051i \(0.413201\pi\)
\(252\) 4.98761 21.7815i 0.314190 1.37210i
\(253\) −27.2925 + 18.2363i −1.71586 + 1.14650i
\(254\) 12.5153 18.8445i 0.785278 1.18241i
\(255\) −0.149221 0.0480801i −0.00934460 0.00301090i
\(256\) −0.358676 15.9960i −0.0224173 0.999749i
\(257\) 10.9126 + 18.9011i 0.680706 + 1.17902i 0.974766 + 0.223231i \(0.0716603\pi\)
−0.294059 + 0.955787i \(0.595006\pi\)
\(258\) −6.99784 2.74929i −0.435667 0.171164i
\(259\) −0.664012 10.1309i −0.0412597 0.629501i
\(260\) −1.73785 0.218890i −0.107777 0.0135750i
\(261\) 19.8207 + 9.01970i 1.22687 + 0.558306i
\(262\) −14.5679 + 8.46528i −0.900006 + 0.522987i
\(263\) 8.71838 + 1.14780i 0.537598 + 0.0707762i 0.394437 0.918923i \(-0.370940\pi\)
0.143162 + 0.989699i \(0.454273\pi\)
\(264\) 27.8366 0.666893i 1.71323 0.0410444i
\(265\) −0.801452 + 0.105513i −0.0492328 + 0.00648162i
\(266\) −4.21780 5.46496i −0.258610 0.335078i
\(267\) 1.88160 + 12.7565i 0.115152 + 0.780684i
\(268\) 1.04277 17.4037i 0.0636974 1.06310i
\(269\) −9.12826 1.81572i −0.556560 0.110707i −0.0912070 0.995832i \(-0.529072\pi\)
−0.465353 + 0.885125i \(0.654072\pi\)
\(270\) −0.545738 + 0.789107i −0.0332126 + 0.0480235i
\(271\) −4.96780 + 4.96780i −0.301772 + 0.301772i −0.841707 0.539935i \(-0.818449\pi\)
0.539935 + 0.841707i \(0.318449\pi\)
\(272\) 2.77288 0.0310841i 0.168131 0.00188475i
\(273\) 43.2148 + 2.15839i 2.61548 + 0.130632i
\(274\) 17.0633 1.16642i 1.03083 0.0704661i
\(275\) 26.8188 9.10377i 1.61724 0.548978i
\(276\) 5.58535 + 19.2101i 0.336199 + 1.15631i
\(277\) 20.8129 10.2638i 1.25053 0.616692i 0.308180 0.951328i \(-0.400280\pi\)
0.942347 + 0.334637i \(0.108614\pi\)
\(278\) −6.51782 + 8.54365i −0.390913 + 0.512414i
\(279\) 16.2482 0.505339i 0.972752 0.0302539i
\(280\) −0.536969 1.26614i −0.0320900 0.0756665i
\(281\) 1.73360 13.1680i 0.103418 0.785536i −0.858619 0.512615i \(-0.828677\pi\)
0.962036 0.272921i \(-0.0879898\pi\)
\(282\) −8.44798 5.42324i −0.503070 0.322949i
\(283\) 4.62810 4.05874i 0.275112 0.241267i −0.510660 0.859783i \(-0.670599\pi\)
0.785772 + 0.618516i \(0.212266\pi\)
\(284\) −9.39727 + 9.50320i −0.557625 + 0.563911i
\(285\) 0.0811574 + 0.285081i 0.00480735 + 0.0168867i
\(286\) 10.6670 + 52.8519i 0.630750 + 3.12520i
\(287\) 29.3535i 1.73268i
\(288\) 4.72490 16.2995i 0.278417 0.960460i
\(289\) 16.5194i 0.971728i
\(290\) 1.31381 0.265162i 0.0771494 0.0155709i
\(291\) −8.47543 + 8.74312i −0.496838 + 0.512531i
\(292\) −16.0257 + 0.0898215i −0.937833 + 0.00525640i
\(293\) −18.9020 + 16.5766i −1.10427 + 0.968415i −0.999659 0.0260982i \(-0.991692\pi\)
−0.104607 + 0.994514i \(0.533358\pi\)
\(294\) 7.71811 + 14.9528i 0.450129 + 0.872062i
\(295\) −0.0954686 + 0.725156i −0.00555840 + 0.0422202i
\(296\) −0.0648238 7.71035i −0.00376781 0.448155i
\(297\) 28.3785 + 8.17917i 1.64669 + 0.474604i
\(298\) 13.7958 + 10.5246i 0.799172 + 0.609675i
\(299\) −34.7434 + 17.1336i −2.00926 + 0.990859i
\(300\) −0.365060 17.2576i −0.0210768 0.996368i
\(301\) 10.8245 3.67443i 0.623915 0.211791i
\(302\) 0.475594 + 6.95735i 0.0273673 + 0.400351i
\(303\) 2.33686 3.61787i 0.134249 0.207841i
\(304\) −2.96146 4.32636i −0.169852 0.248134i
\(305\) 0.167512 0.167512i 0.00959172 0.00959172i
\(306\) 2.81562 + 0.850516i 0.160958 + 0.0486208i
\(307\) 10.8809 + 2.16434i 0.621004 + 0.123525i 0.495557 0.868575i \(-0.334964\pi\)
0.125446 + 0.992100i \(0.459964\pi\)
\(308\) −31.6721 + 28.0913i −1.80469 + 1.60065i
\(309\) −11.5126 + 9.12172i −0.654928 + 0.518917i
\(310\) 0.792060 0.611303i 0.0449860 0.0347197i
\(311\) −26.2797 + 3.45978i −1.49018 + 0.196186i −0.831201 0.555973i \(-0.812346\pi\)
−0.658982 + 0.752159i \(0.729013\pi\)
\(312\) 32.6736 + 3.50773i 1.84978 + 0.198586i
\(313\) 6.66601 + 0.877597i 0.376785 + 0.0496047i 0.316541 0.948579i \(-0.397479\pi\)
0.0602446 + 0.998184i \(0.480812\pi\)
\(314\) −10.6152 18.2676i −0.599048 1.03090i
\(315\) −0.140609 1.45194i −0.00792240 0.0818073i
\(316\) 26.9864 20.9487i 1.51810 1.17846i
\(317\) −0.0908230 1.38569i −0.00510113 0.0778282i 0.994549 0.104267i \(-0.0332498\pi\)
−0.999650 + 0.0264393i \(0.991583\pi\)
\(318\) 14.9972 2.25507i 0.841001 0.126458i
\(319\) −20.6287 35.7300i −1.15499 2.00049i
\(320\) −0.352327 0.983287i −0.0196957 0.0549674i
\(321\) 11.0752 10.0215i 0.618158 0.559347i
\(322\) −25.3377 16.8276i −1.41201 0.937764i
\(323\) 0.755535 0.504832i 0.0420391 0.0280896i
\(324\) 9.96525 14.9898i 0.553625 0.832766i
\(325\) 32.7824 6.52083i 1.81844 0.361711i
\(326\) 30.3175 0.0849618i 1.67913 0.00470560i
\(327\) −20.2902 9.61682i −1.12205 0.531811i
\(328\) −1.27097 + 22.2569i −0.0701778 + 1.22893i
\(329\) 15.1326 1.99224i 0.834286 0.109836i
\(330\) 1.71026 0.615774i 0.0941467 0.0338972i
\(331\) −5.77439 11.7093i −0.317389 0.643602i 0.678458 0.734639i \(-0.262649\pi\)
−0.995848 + 0.0910370i \(0.970982\pi\)
\(332\) 2.41951 7.26109i 0.132788 0.398504i
\(333\) 2.38683 7.82230i 0.130798 0.428660i
\(334\) −16.1892 + 5.54613i −0.885832 + 0.303471i
\(335\) −0.294582 1.09939i −0.0160947 0.0600663i
\(336\) 10.5082 + 23.5653i 0.573268 + 1.28559i
\(337\) −6.34884 + 23.6942i −0.345843 + 1.29070i 0.545781 + 0.837928i \(0.316233\pi\)
−0.891624 + 0.452776i \(0.850434\pi\)
\(338\) 3.08583 + 45.1419i 0.167847 + 2.45539i
\(339\) 6.17554 11.0910i 0.335409 0.602382i
\(340\) 0.171093 0.0591498i 0.00927883 0.00320785i
\(341\) −25.6079 17.1107i −1.38675 0.926595i
\(342\) −1.62046 5.31956i −0.0876246 0.287649i
\(343\) 0.448429 + 0.185745i 0.0242129 + 0.0100293i
\(344\) 8.36665 2.31740i 0.451100 0.124946i
\(345\) 0.742365 + 1.07449i 0.0399676 + 0.0578484i
\(346\) −5.95736 + 1.61418i −0.320270 + 0.0867787i
\(347\) −15.8572 + 13.9064i −0.851259 + 0.746534i −0.969145 0.246493i \(-0.920722\pi\)
0.117885 + 0.993027i \(0.462388\pi\)
\(348\) −24.5529 + 5.42609i −1.31617 + 0.290869i
\(349\) 13.1366 0.861019i 0.703187 0.0460893i 0.290385 0.956910i \(-0.406217\pi\)
0.412802 + 0.910821i \(0.364550\pi\)
\(350\) 17.3593 + 19.6829i 0.927893 + 1.05210i
\(351\) 31.9450 + 13.9418i 1.70510 + 0.744156i
\(352\) −25.2313 + 19.9285i −1.34483 + 1.06219i
\(353\) 29.5792 + 17.0776i 1.57434 + 0.908947i 0.995627 + 0.0934185i \(0.0297795\pi\)
0.578716 + 0.815529i \(0.303554\pi\)
\(354\) 1.54118 13.6352i 0.0819128 0.724704i
\(355\) −0.385887 + 0.782501i −0.0204808 + 0.0415309i
\(356\) −10.5872 10.4691i −0.561118 0.554864i
\(357\) −4.10440 + 1.77534i −0.217228 + 0.0939611i
\(358\) 20.1056 20.2186i 1.06261 1.06859i
\(359\) 9.63033 3.98901i 0.508269 0.210532i −0.113786 0.993505i \(-0.536298\pi\)
0.622055 + 0.782973i \(0.286298\pi\)
\(360\) −0.0437475 1.10700i −0.00230570 0.0583440i
\(361\) 15.9665 + 6.61354i 0.840342 + 0.348081i
\(362\) 3.51148 + 8.41072i 0.184559 + 0.442057i
\(363\) −22.9166 28.9232i −1.20281 1.51807i
\(364\) −41.3860 + 27.9900i −2.16922 + 1.46708i
\(365\) −0.990675 + 0.336289i −0.0518543 + 0.0176022i
\(366\) −3.08451 + 3.19982i −0.161230 + 0.167257i
\(367\) −5.09717 + 1.36578i −0.266070 + 0.0712933i −0.389388 0.921074i \(-0.627313\pi\)
0.123317 + 0.992367i \(0.460647\pi\)
\(368\) −18.4833 13.8564i −0.963510 0.722313i
\(369\) −8.36527 + 22.1163i −0.435478 + 1.15133i
\(370\) −0.163135 0.476192i −0.00848099 0.0247560i
\(371\) −15.2032 + 17.3359i −0.789312 + 0.900038i
\(372\) −14.6469 + 11.7394i −0.759407 + 0.608657i
\(373\) 3.56699 + 0.233793i 0.184692 + 0.0121054i 0.157468 0.987524i \(-0.449667\pi\)
0.0272235 + 0.999629i \(0.491333\pi\)
\(374\) −3.40469 4.41143i −0.176052 0.228110i
\(375\) −0.758813 2.12621i −0.0391849 0.109797i
\(376\) 11.5603 0.855369i 0.596179 0.0441123i
\(377\) −18.6332 44.9844i −0.959657 2.31682i
\(378\) 3.13728 + 27.1868i 0.161364 + 1.39834i
\(379\) −11.0553 + 2.19903i −0.567871 + 0.112957i −0.470672 0.882308i \(-0.655988\pi\)
−0.0971994 + 0.995265i \(0.530988\pi\)
\(380\) −0.272698 0.206831i −0.0139891 0.0106102i
\(381\) −6.75396 + 26.8702i −0.346016 + 1.37660i
\(382\) −7.90614 15.9194i −0.404513 0.814509i
\(383\) −18.4627 31.9783i −0.943399 1.63402i −0.758925 0.651179i \(-0.774275\pi\)
−0.184475 0.982837i \(-0.559058\pi\)
\(384\) 6.94735 + 18.3231i 0.354530 + 0.935045i
\(385\) −1.38184 + 2.39342i −0.0704252 + 0.121980i
\(386\) −24.9627 1.56590i −1.27057 0.0797022i
\(387\) 9.20286 + 0.316321i 0.467807 + 0.0160795i
\(388\) 1.75711 13.9504i 0.0892039 0.708222i
\(389\) −4.01529 + 11.8287i −0.203583 + 0.599736i −0.999987 0.00502820i \(-0.998399\pi\)
0.796404 + 0.604765i \(0.206733\pi\)
\(390\) 2.09599 0.457048i 0.106134 0.0231435i
\(391\) 2.43729 3.17634i 0.123259 0.160634i
\(392\) −17.4982 8.44702i −0.883792 0.426639i
\(393\) 13.3631 15.7242i 0.674081 0.793183i
\(394\) 4.85777 11.8213i 0.244731 0.595548i
\(395\) 1.23904 1.85436i 0.0623430 0.0933028i
\(396\) −31.8688 + 12.1393i −1.60147 + 0.610021i
\(397\) 11.5896 + 2.30531i 0.581663 + 0.115700i 0.477147 0.878823i \(-0.341671\pi\)
0.104516 + 0.994523i \(0.466671\pi\)
\(398\) −2.99232 0.586496i −0.149991 0.0293984i
\(399\) 7.10207 + 4.58738i 0.355548 + 0.229656i
\(400\) 12.3102 + 15.6760i 0.615510 + 0.783798i
\(401\) −1.04126 + 3.88603i −0.0519979 + 0.194059i −0.987039 0.160480i \(-0.948696\pi\)
0.935041 + 0.354539i \(0.115362\pi\)
\(402\) 5.90414 + 20.5209i 0.294472 + 1.02349i
\(403\) −27.3274 23.9655i −1.36128 1.19381i
\(404\) 0.353075 + 4.96071i 0.0175662 + 0.246804i
\(405\) 0.307836 1.13403i 0.0152965 0.0563503i
\(406\) 23.1884 30.3957i 1.15082 1.50851i
\(407\) −12.2927 + 9.43250i −0.609325 + 0.467552i
\(408\) −3.18898 + 1.16841i −0.157878 + 0.0578451i
\(409\) 8.19467 + 6.28799i 0.405200 + 0.310921i 0.791177 0.611587i \(-0.209469\pi\)
−0.385976 + 0.922509i \(0.626135\pi\)
\(410\) 0.380606 + 1.40468i 0.0187968 + 0.0693723i
\(411\) −19.2255 + 8.31592i −0.948325 + 0.410194i
\(412\) 4.29783 16.4070i 0.211739 0.808314i
\(413\) 11.5908 + 17.3469i 0.570348 + 0.853587i
\(414\) −14.2950 19.8995i −0.702561 0.978007i
\(415\) 0.499638i 0.0245263i
\(416\) −32.5923 + 19.4311i −1.59797 + 0.952688i
\(417\) 4.03625 12.5269i 0.197656 0.613444i
\(418\) −3.35859 + 9.98593i −0.164274 + 0.488428i
\(419\) 4.73524 9.60212i 0.231332 0.469094i −0.749995 0.661444i \(-0.769944\pi\)
0.981326 + 0.192349i \(0.0616107\pi\)
\(420\) 1.13713 + 1.24262i 0.0554864 + 0.0606338i
\(421\) −0.419640 0.142449i −0.0204520 0.00694252i 0.311195 0.950346i \(-0.399271\pi\)
−0.331647 + 0.943404i \(0.607604\pi\)
\(422\) −1.18690 + 4.47976i −0.0577775 + 0.218071i
\(423\) 11.9694 + 2.81149i 0.581970 + 0.136699i
\(424\) −12.2783 + 12.4865i −0.596285 + 0.606397i
\(425\) −2.74064 + 2.10297i −0.132941 + 0.102009i
\(426\) 6.96906 14.8109i 0.337652 0.717588i
\(427\) 0.441950 6.74285i 0.0213875 0.326309i
\(428\) −3.26984 + 16.9341i −0.158054 + 0.818540i
\(429\) −33.9027 56.6681i −1.63684 2.73596i
\(430\) 0.470352 0.316190i 0.0226824 0.0152480i
\(431\) 3.67814 + 3.67814i 0.177170 + 0.177170i 0.790121 0.612951i \(-0.210018\pi\)
−0.612951 + 0.790121i \(0.710018\pi\)
\(432\) 1.20165 + 20.7498i 0.0578143 + 0.998327i
\(433\) −13.0910 + 13.0910i −0.629116 + 0.629116i −0.947846 0.318730i \(-0.896744\pi\)
0.318730 + 0.947846i \(0.396744\pi\)
\(434\) 5.48925 28.0063i 0.263492 1.34434i
\(435\) −1.40867 + 0.842762i −0.0675406 + 0.0404073i
\(436\) 25.4005 5.20063i 1.21646 0.249065i
\(437\) −7.55335 0.495073i −0.361326 0.0236825i
\(438\) 18.4672 6.64905i 0.882395 0.317704i
\(439\) −7.61388 9.92260i −0.363391 0.473580i 0.575497 0.817804i \(-0.304809\pi\)
−0.938888 + 0.344224i \(0.888142\pi\)
\(440\) −1.15140 + 1.75495i −0.0548906 + 0.0836638i
\(441\) −15.0187 14.1127i −0.715178 0.672034i
\(442\) −3.30419 5.68617i −0.157164 0.270464i
\(443\) −4.65891 + 13.7247i −0.221352 + 0.652081i 0.778354 + 0.627825i \(0.216055\pi\)
−0.999706 + 0.0242552i \(0.992279\pi\)
\(444\) 3.22397 + 8.87618i 0.153003 + 0.421245i
\(445\) −0.871756 0.429902i −0.0413252 0.0203793i
\(446\) −19.0103 + 9.44115i −0.900163 + 0.447052i
\(447\) −20.2277 6.51752i −0.956739 0.308268i
\(448\) −26.0488 14.4609i −1.23069 0.683212i
\(449\) 16.9754 0.801117 0.400558 0.916271i \(-0.368816\pi\)
0.400558 + 0.916271i \(0.368816\pi\)
\(450\) 7.47000 + 19.7772i 0.352139 + 0.932304i
\(451\) 37.2485 24.8887i 1.75396 1.17196i
\(452\) 1.99471 + 14.5219i 0.0938232 + 0.683052i
\(453\) −3.39072 7.83897i −0.159310 0.368307i
\(454\) 10.2895 17.9378i 0.482908 0.841862i
\(455\) −1.98555 + 2.58762i −0.0930839 + 0.121309i
\(456\) 5.18642 + 3.78583i 0.242877 + 0.177288i
\(457\) 22.9124 + 29.8601i 1.07180 + 1.39680i 0.912264 + 0.409603i \(0.134333\pi\)
0.159535 + 0.987192i \(0.449001\pi\)
\(458\) −3.42436 25.4590i −0.160010 1.18962i
\(459\) −3.59839 + 0.167940i −0.167959 + 0.00783876i
\(460\) −1.43070 0.476730i −0.0667066 0.0222277i
\(461\) −16.4360 + 18.7417i −0.765503 + 0.872889i −0.994944 0.100434i \(-0.967977\pi\)
0.229441 + 0.973323i \(0.426310\pi\)
\(462\) 25.0965 45.3710i 1.16760 2.11085i
\(463\) 9.07438 + 2.43147i 0.421722 + 0.113000i 0.463438 0.886129i \(-0.346616\pi\)
−0.0417158 + 0.999130i \(0.513282\pi\)
\(464\) 18.8984 22.0431i 0.877337 1.02333i
\(465\) −0.664868 + 1.02933i −0.0308325 + 0.0477342i
\(466\) 3.45765 2.32437i 0.160172 0.107674i
\(467\) −6.38811 + 32.1152i −0.295606 + 1.48611i 0.492358 + 0.870393i \(0.336135\pi\)
−0.787964 + 0.615721i \(0.788865\pi\)
\(468\) −39.1588 + 9.29468i −1.81012 + 0.429647i
\(469\) −26.9941 18.0369i −1.24647 0.832867i
\(470\) 0.698322 0.291550i 0.0322112 0.0134482i
\(471\) 19.7176 + 16.7569i 0.908540 + 0.772116i
\(472\) 8.03751 + 13.6550i 0.369956 + 0.628520i
\(473\) −13.8408 10.6204i −0.636399 0.488326i
\(474\) −22.6035 + 35.2102i −1.03821 + 1.61726i
\(475\) 6.18463 + 2.09940i 0.283770 + 0.0963270i
\(476\) 2.55675 4.48631i 0.117189 0.205630i
\(477\) −16.3953 + 8.72905i −0.750688 + 0.399676i
\(478\) 2.73836 + 3.10491i 0.125250 + 0.142015i
\(479\) −17.9615 10.3701i −0.820683 0.473822i 0.0299687 0.999551i \(-0.490459\pi\)
−0.850652 + 0.525729i \(0.823793\pi\)
\(480\) 0.808412 + 0.991439i 0.0368988 + 0.0452528i
\(481\) −15.8364 + 9.14312i −0.722076 + 0.416891i
\(482\) 38.7457 + 13.0314i 1.76482 + 0.593564i
\(483\) 36.1286 + 9.08112i 1.64391 + 0.413205i
\(484\) 41.2194 + 10.7975i 1.87361 + 0.490794i
\(485\) −0.179073 0.900259i −0.00813127 0.0408786i
\(486\) −5.38400 + 21.3779i −0.244223 + 0.969719i
\(487\) −27.5444 + 11.4093i −1.24816 + 0.517003i −0.906254 0.422733i \(-0.861071\pi\)
−0.341901 + 0.939736i \(0.611071\pi\)
\(488\) 0.627060 5.09354i 0.0283857 0.230574i
\(489\) −34.9710 + 12.4806i −1.58145 + 0.564393i
\(490\) −1.25805 0.162040i −0.0568329 0.00732022i
\(491\) −1.30029 + 19.8385i −0.0586811 + 0.895300i 0.862473 + 0.506103i \(0.168914\pi\)
−0.921154 + 0.389198i \(0.872752\pi\)
\(492\) −7.62284 26.2178i −0.343664 1.18199i
\(493\) 3.78348 + 3.31802i 0.170399 + 0.149436i
\(494\) −5.46806 + 11.1669i −0.246020 + 0.502423i
\(495\) −1.72323 + 1.40951i −0.0774534 + 0.0633529i
\(496\) 5.37479 20.9977i 0.241335 0.942825i
\(497\) 6.44115 + 24.0387i 0.288925 + 1.07828i
\(498\) 0.171979 + 9.37212i 0.00770658 + 0.419975i
\(499\) −1.33828 3.94246i −0.0599098 0.176489i 0.912855 0.408285i \(-0.133873\pi\)
−0.972764 + 0.231796i \(0.925540\pi\)
\(500\) 2.17556 + 1.43609i 0.0972942 + 0.0642241i
\(501\) 16.4274 13.0159i 0.733923 0.581506i
\(502\) 1.29895 3.16096i 0.0579749 0.141081i
\(503\) 9.13034 22.0426i 0.407102 0.982831i −0.578794 0.815473i \(-0.696477\pi\)
0.985896 0.167357i \(-0.0535234\pi\)
\(504\) −21.7579 22.9175i −0.969172 1.02083i
\(505\) 0.124243 + 0.299948i 0.00552872 + 0.0133475i
\(506\) 0.130089 + 46.4205i 0.00578315 + 2.06364i
\(507\) −22.0002 50.8621i −0.977064 2.25887i
\(508\) −12.4083 29.4878i −0.550531 1.30831i
\(509\) 32.4343 + 15.9948i 1.43763 + 0.708959i 0.983320 0.181886i \(-0.0582203\pi\)
0.454307 + 0.890845i \(0.349887\pi\)
\(510\) −0.173392 + 0.138176i −0.00767793 + 0.00611853i
\(511\) −14.9210 + 25.8439i −0.660064 + 1.14326i
\(512\) −19.1251 12.0927i −0.845216 0.534425i
\(513\) 4.04370 + 5.48032i 0.178534 + 0.241962i
\(514\) 30.8048 + 1.93237i 1.35874 + 0.0852332i
\(515\) −0.0724150 1.10484i −0.00319099 0.0486851i
\(516\) −8.71396 + 6.09293i −0.383610 + 0.268226i
\(517\) −15.3589 17.5135i −0.675484 0.770241i
\(518\) −12.4544 7.14410i −0.547216 0.313894i
\(519\) 6.21931 4.29694i 0.272998 0.188615i
\(520\) −1.61756 + 1.87605i −0.0709346 + 0.0822704i
\(521\) 0.645123 1.55747i 0.0282634 0.0682338i −0.909118 0.416539i \(-0.863243\pi\)
0.937381 + 0.348306i \(0.113243\pi\)
\(522\) 26.1335 16.2933i 1.14383 0.713136i
\(523\) 2.50434 3.74802i 0.109507 0.163889i −0.772668 0.634810i \(-0.781078\pi\)
0.882175 + 0.470921i \(0.156078\pi\)
\(524\) −1.42513 + 23.7852i −0.0622571 + 1.03906i
\(525\) −28.0827 15.6366i −1.22563 0.682438i
\(526\) 8.17342 9.37285i 0.356378 0.408676i
\(527\) 3.62857 + 0.972273i 0.158063 + 0.0423529i
\(528\) 20.9936 33.3153i 0.913630 1.44986i
\(529\) −9.99931 + 2.67931i −0.434753 + 0.116492i
\(530\) −0.502751 + 1.02672i −0.0218381 + 0.0445980i
\(531\) 3.78950 + 16.3732i 0.164450 + 0.710536i
\(532\) −9.73811 + 0.693105i −0.422201 + 0.0300499i
\(533\) 47.4175 23.3837i 2.05388 1.01286i
\(534\) 16.5002 + 7.76397i 0.714034 + 0.335980i
\(535\) 0.146960 + 1.11627i 0.00635362 + 0.0482606i
\(536\) −19.6870 14.8451i −0.850348 0.641209i
\(537\) −14.9568 + 31.5568i −0.645435 + 1.36178i
\(538\) −9.28097 + 9.33313i −0.400131 + 0.402380i
\(539\) 7.61740 + 38.2953i 0.328105 + 1.64949i
\(540\) 0.502642 + 1.26031i 0.0216303 + 0.0542353i
\(541\) 15.8723 + 23.7545i 0.682402 + 1.02129i 0.997391 + 0.0721908i \(0.0229991\pi\)
−0.314989 + 0.949095i \(0.602001\pi\)
\(542\) 1.96564 + 9.73922i 0.0844315 + 0.418336i
\(543\) −7.48965 8.27714i −0.321412 0.355206i
\(544\) 2.13288 3.29098i 0.0914463 0.141100i
\(545\) 1.46582 0.846290i 0.0627887 0.0362511i
\(546\) 36.3539 49.2215i 1.55580 2.10649i
\(547\) 17.7712 1.16478i 0.759840 0.0498025i 0.319443 0.947606i \(-0.396504\pi\)
0.440397 + 0.897803i \(0.354838\pi\)
\(548\) 11.9761 21.0144i 0.511596 0.897692i
\(549\) 2.25459 4.95443i 0.0962234 0.211450i
\(550\) 10.2581 38.7173i 0.437406 1.65091i
\(551\) 1.24186 9.43288i 0.0529051 0.401854i
\(552\) 27.0009 + 8.44997i 1.14923 + 0.359655i
\(553\) −8.30344 63.0709i −0.353098 2.68205i
\(554\) 4.19246 32.5495i 0.178120 1.38290i
\(555\) 0.382852 + 0.483200i 0.0162512 + 0.0205107i
\(556\) 4.96553 + 14.3630i 0.210585 + 0.609126i
\(557\) 4.54755 22.8621i 0.192686 0.968698i −0.756503 0.653990i \(-0.773094\pi\)
0.949189 0.314707i \(-0.101906\pi\)
\(558\) 12.1172 19.5369i 0.512961 0.827063i
\(559\) −14.5587 14.5587i −0.615768 0.615768i
\(560\) −1.91173 0.358038i −0.0807854 0.0151299i
\(561\) 5.73294 + 3.70303i 0.242045 + 0.156342i
\(562\) −14.1565 12.3449i −0.597155 0.520738i
\(563\) 0.894686 + 2.63566i 0.0377065 + 0.111080i 0.964153 0.265346i \(-0.0854862\pi\)
−0.926447 + 0.376426i \(0.877153\pi\)
\(564\) −12.9986 + 5.70921i −0.547342 + 0.240401i
\(565\) 0.423231 + 0.858228i 0.0178055 + 0.0361059i
\(566\) −1.16048 8.62778i −0.0487784 0.362653i
\(567\) −14.7262 30.1095i −0.618444 1.26448i
\(568\) 3.84307 + 18.5059i 0.161252 + 0.776492i
\(569\) −17.9724 2.36611i −0.753441 0.0991924i −0.255984 0.966681i \(-0.582399\pi\)
−0.497457 + 0.867489i \(0.665733\pi\)
\(570\) 0.399343 + 0.127437i 0.0167266 + 0.00533775i
\(571\) −17.5110 19.9675i −0.732813 0.835613i 0.258654 0.965970i \(-0.416721\pi\)
−0.991467 + 0.130357i \(0.958388\pi\)
\(572\) 70.6092 + 28.7847i 2.95232 + 1.20355i
\(573\) 15.6307 + 15.1521i 0.652980 + 0.632988i
\(574\) 34.5806 + 22.9661i 1.44337 + 0.958586i
\(575\) 28.7772 1.20009
\(576\) −15.5053 18.3190i −0.646055 0.763291i
\(577\) 6.98236 0.290679 0.145340 0.989382i \(-0.453573\pi\)
0.145340 + 0.989382i \(0.453573\pi\)
\(578\) −19.4610 12.9247i −0.809472 0.537597i
\(579\) 29.4624 8.38742i 1.22442 0.348569i
\(580\) 0.715538 1.75522i 0.0297111 0.0728816i
\(581\) −9.39684 10.7150i −0.389846 0.444535i
\(582\) 3.66889 + 16.8253i 0.152080 + 0.697429i
\(583\) 34.8894 + 4.59327i 1.44497 + 0.190234i
\(584\) −12.4326 + 18.9497i −0.514466 + 0.784144i
\(585\) −2.23343 + 1.38378i −0.0923411 + 0.0572124i
\(586\) 4.73959 + 35.2374i 0.195791 + 1.45564i
\(587\) −10.2912 20.8685i −0.424763 0.861334i −0.999088 0.0427064i \(-0.986402\pi\)
0.574325 0.818628i \(-0.305265\pi\)
\(588\) 23.6541 + 2.60649i 0.975477 + 0.107490i
\(589\) −2.28298 6.72543i −0.0940684 0.277116i
\(590\) 0.779593 + 0.679829i 0.0320953 + 0.0279881i
\(591\) −0.780818 + 15.6334i −0.0321186 + 0.643070i
\(592\) −9.13407 5.95618i −0.375408 0.244798i
\(593\) −10.5201 10.5201i −0.432008 0.432008i 0.457303 0.889311i \(-0.348815\pi\)
−0.889311 + 0.457303i \(0.848815\pi\)
\(594\) 31.8389 27.0326i 1.30637 1.10916i
\(595\) 0.0657639 0.330618i 0.00269606 0.0135540i
\(596\) 23.1926 8.01807i 0.950006 0.328433i
\(597\) 3.69458 0.544955i 0.151209 0.0223035i
\(598\) −6.99855 + 54.3355i −0.286192 + 2.22194i
\(599\) −5.79599 44.0249i −0.236818 1.79881i −0.535584 0.844482i \(-0.679909\pi\)
0.298767 0.954326i \(-0.403425\pi\)
\(600\) −20.6163 13.0722i −0.841658 0.533671i
\(601\) 1.03045 7.82706i 0.0420330 0.319273i −0.957492 0.288459i \(-0.906857\pi\)
0.999525 0.0308132i \(-0.00980969\pi\)
\(602\) 4.14032 15.6269i 0.168747 0.636906i
\(603\) −15.1984 21.2827i −0.618928 0.866700i
\(604\) 8.56837 + 4.88313i 0.348642 + 0.198692i
\(605\) 2.77570 0.181929i 0.112848 0.00739646i
\(606\) −2.43376 5.58361i −0.0988649 0.226819i
\(607\) 15.7909 9.11688i 0.640933 0.370043i −0.144041 0.989572i \(-0.546010\pi\)
0.784974 + 0.619529i \(0.212676\pi\)
\(608\) −7.41381 + 0.103889i −0.300670 + 0.00421325i
\(609\) −14.3597 + 44.5668i −0.581886 + 1.80594i
\(610\) −0.0662806 0.328402i −0.00268362 0.0132966i
\(611\) −15.2732 22.8580i −0.617888 0.924735i
\(612\) 3.20490 2.65156i 0.129550 0.107183i
\(613\) 0.520082 + 2.61463i 0.0210059 + 0.105604i 0.989866 0.142005i \(-0.0453550\pi\)
−0.968860 + 0.247609i \(0.920355\pi\)
\(614\) 11.0629 11.1251i 0.446462 0.448972i
\(615\) −1.01317 1.46645i −0.0408551 0.0591329i
\(616\) 8.31343 + 59.2906i 0.334958 + 2.38889i
\(617\) −4.06840 30.9026i −0.163788 1.24409i −0.853919 0.520406i \(-0.825780\pi\)
0.690131 0.723684i \(-0.257553\pi\)
\(618\) 1.73864 + 20.6995i 0.0699385 + 0.832655i
\(619\) −24.6054 + 12.1340i −0.988973 + 0.487707i −0.863478 0.504387i \(-0.831719\pi\)
−0.125495 + 0.992094i \(0.540052\pi\)
\(620\) −0.100455 1.41139i −0.00403435 0.0566826i
\(621\) 24.6330 + 17.1382i 0.988490 + 0.687733i
\(622\) −16.4852 + 33.6663i −0.660998 + 1.34989i
\(623\) −26.7806 + 7.17585i −1.07294 + 0.287494i
\(624\) 29.6961 35.7475i 1.18880 1.43104i
\(625\) −23.9014 6.40437i −0.956058 0.256175i
\(626\) 6.24934 7.16642i 0.249774 0.286428i
\(627\) −0.200584 12.9019i −0.00801055 0.515251i
\(628\) −29.8258 1.78706i −1.19018 0.0713114i
\(629\) 1.04998 1.57141i 0.0418656 0.0626562i
\(630\) −1.82050 0.970342i −0.0725303 0.0386593i
\(631\) 4.28707 10.3499i 0.170666 0.412023i −0.815285 0.579060i \(-0.803420\pi\)
0.985951 + 0.167037i \(0.0534198\pi\)
\(632\) −3.56508 48.1822i −0.141811 1.91658i
\(633\) −0.459217 5.65726i −0.0182522 0.224856i
\(634\) −1.70351 0.977164i −0.0676548 0.0388082i
\(635\) −1.37704 1.57021i −0.0546462 0.0623120i
\(636\) 9.07712 19.4321i 0.359931 0.770534i
\(637\) 3.01380 + 45.9817i 0.119411 + 1.82186i
\(638\) −58.2323 3.65289i −2.30544 0.144619i
\(639\) −1.99757 + 19.9475i −0.0790225 + 0.789112i
\(640\) −1.43404 0.354254i −0.0566855 0.0140031i
\(641\) 20.3684 35.2791i 0.804503 1.39344i −0.112124 0.993694i \(-0.535765\pi\)
0.916626 0.399745i \(-0.130901\pi\)
\(642\) −3.14087 20.8882i −0.123960 0.824392i
\(643\) −37.2092 18.3495i −1.46739 0.723635i −0.479317 0.877642i \(-0.659116\pi\)
−0.988070 + 0.154006i \(0.950782\pi\)
\(644\) −39.6482 + 16.6838i −1.56236 + 0.657433i
\(645\) −0.413946 + 0.557189i −0.0162991 + 0.0219393i
\(646\) −0.00360123 1.28505i −0.000141689 0.0505598i
\(647\) 3.19935 + 7.72391i 0.125779 + 0.303658i 0.974208 0.225651i \(-0.0724510\pi\)
−0.848429 + 0.529309i \(0.822451\pi\)
\(648\) −9.86228 23.4678i −0.387427 0.921900i
\(649\) 12.1848 29.4167i 0.478295 1.15471i
\(650\) 17.9668 43.7220i 0.704718 1.71492i
\(651\) 5.10045 + 34.5790i 0.199903 + 1.35526i
\(652\) 23.6202 35.7827i 0.925040 1.40136i
\(653\) 14.4513 + 42.5723i 0.565525 + 1.66598i 0.733099 + 0.680122i \(0.238073\pi\)
−0.167574 + 0.985859i \(0.553593\pi\)
\(654\) −27.2043 + 16.3791i −1.06377 + 0.640474i
\(655\) 0.402598 + 1.50252i 0.0157308 + 0.0587081i
\(656\) 25.2259 + 18.9110i 0.984905 + 0.738352i
\(657\) −18.6072 + 15.2197i −0.725937 + 0.593779i
\(658\) 9.49268 19.3860i 0.370063 0.755745i
\(659\) −2.11756 1.85705i −0.0824883 0.0723403i 0.617109 0.786878i \(-0.288304\pi\)
−0.699597 + 0.714538i \(0.746637\pi\)
\(660\) 0.612675 2.49659i 0.0238483 0.0971796i
\(661\) −0.668854 + 10.2047i −0.0260154 + 0.396919i 0.964917 + 0.262556i \(0.0845654\pi\)
−0.990932 + 0.134363i \(0.957101\pi\)
\(662\) −18.3123 2.35867i −0.711727 0.0916723i
\(663\) 6.13754 + 5.21594i 0.238362 + 0.202570i
\(664\) −6.66108 8.53141i −0.258500 0.331083i
\(665\) −0.588813 + 0.243894i −0.0228332 + 0.00945782i
\(666\) −7.34779 8.93200i −0.284721 0.346108i
\(667\) −8.17831 41.1151i −0.316665 1.59198i
\(668\) −6.13261 + 23.4113i −0.237278 + 0.905810i
\(669\) 18.0939 18.6654i 0.699552 0.721647i
\(670\) −1.52565 0.513124i −0.0589409 0.0198237i
\(671\) −8.93115 + 5.15640i −0.344783 + 0.199061i
\(672\) 35.9832 + 6.05799i 1.38808 + 0.233692i
\(673\) −11.4666 6.62024i −0.442005 0.255191i 0.262443 0.964948i \(-0.415472\pi\)
−0.704448 + 0.709756i \(0.748805\pi\)
\(674\) 22.9462 + 26.0176i 0.883853 + 1.00216i
\(675\) −16.7027 19.7845i −0.642886 0.761505i
\(676\) 55.5948 + 31.6835i 2.13826 + 1.21860i
\(677\) −10.5665 3.58683i −0.406102 0.137853i 0.110911 0.993830i \(-0.464623\pi\)
−0.517014 + 0.855977i \(0.672956\pi\)
\(678\) −8.23431 15.9528i −0.316237 0.612664i
\(679\) −20.7718 15.9387i −0.797147 0.611672i
\(680\) 0.0641800 0.247839i 0.00246119 0.00950419i
\(681\) −4.55431 + 24.9141i −0.174521 + 0.954711i
\(682\) −40.1932 + 16.7807i −1.53908 + 0.642566i
\(683\) 3.16120 + 2.11225i 0.120960 + 0.0808229i 0.614579 0.788856i \(-0.289326\pi\)
−0.493619 + 0.869679i \(0.664326\pi\)
\(684\) −7.53468 2.25298i −0.288096 0.0861450i
\(685\) 0.308046 1.54865i 0.0117699 0.0591710i
\(686\) 0.569671 0.382955i 0.0217501 0.0146213i
\(687\) 14.3521 + 27.9973i 0.547566 + 1.06817i
\(688\) 3.81597 11.6697i 0.145483 0.444901i
\(689\) 40.1156 + 10.7489i 1.52828 + 0.409502i
\(690\) 1.84665 0.0338861i 0.0703006 0.00129002i
\(691\) 13.7111 15.6346i 0.521597 0.594767i −0.429728 0.902959i \(-0.641390\pi\)
0.951324 + 0.308192i \(0.0997238\pi\)
\(692\) −2.75940 + 8.28113i −0.104897 + 0.314801i
\(693\) −10.4466 + 62.6372i −0.396833 + 2.37939i
\(694\) 3.97612 + 29.5613i 0.150932 + 1.12213i
\(695\) 0.603946 + 0.787077i 0.0229090 + 0.0298555i
\(696\) −12.8178 + 33.1705i −0.485857 + 1.25732i
\(697\) −3.32639 + 4.33504i −0.125996 + 0.164201i
\(698\) 9.26370 16.1495i 0.350636 0.611269i
\(699\) −3.04299 + 4.09600i −0.115096 + 0.154925i
\(700\) 36.7698 5.05065i 1.38977 0.190897i
\(701\) 8.43591 5.63669i 0.318620 0.212895i −0.385967 0.922512i \(-0.626132\pi\)
0.704587 + 0.709617i \(0.251132\pi\)
\(702\) 41.4180 26.7255i 1.56322 1.00869i
\(703\) −3.57317 −0.134765
\(704\) 3.73634 + 45.3163i 0.140819 + 1.70792i
\(705\) −0.687231 + 0.621848i −0.0258826 + 0.0234202i
\(706\) 43.2613 21.4850i 1.62816 0.808600i
\(707\) 8.30567 + 4.09590i 0.312367 + 0.154042i
\(708\) −14.8575 12.4838i −0.558378 0.469169i
\(709\) −16.3274 + 48.0991i −0.613190 + 1.80640i −0.0221542 + 0.999755i \(0.507052\pi\)
−0.591036 + 0.806645i \(0.701281\pi\)
\(710\) 0.619927 + 1.06683i 0.0232654 + 0.0400374i
\(711\) 11.7180 49.8869i 0.439457 1.87090i
\(712\) −20.6168 + 4.28142i −0.772646 + 0.160453i
\(713\) −19.0503 24.8268i −0.713439 0.929771i
\(714\) −1.11979 + 6.22430i −0.0419070 + 0.232939i
\(715\) 4.96712 + 0.325562i 0.185760 + 0.0121753i
\(716\) −8.08843 39.5048i −0.302279 1.47636i
\(717\) −4.42994 2.46662i −0.165439 0.0921175i
\(718\) 2.83539 14.4662i 0.105816 0.539874i
\(719\) −16.6481 + 16.6481i −0.620869 + 0.620869i −0.945754 0.324885i \(-0.894675\pi\)
0.324885 + 0.945754i \(0.394675\pi\)
\(720\) −1.33835 0.814575i −0.0498775 0.0303574i
\(721\) −22.3320 22.3320i −0.831688 0.831688i
\(722\) 20.2834 13.6353i 0.754869 0.507453i
\(723\) −50.0596 + 0.778271i −1.86174 + 0.0289442i
\(724\) 12.6558 + 2.44374i 0.470349 + 0.0908208i
\(725\) −2.36566 + 36.0930i −0.0878583 + 1.34046i
\(726\) −52.0034 + 4.36801i −1.93003 + 0.162112i
\(727\) −31.3893 + 24.0859i −1.16417 + 0.893295i −0.995721 0.0924158i \(-0.970541\pi\)
−0.168445 + 0.985711i \(0.553874\pi\)
\(728\) 0.594023 + 70.6550i 0.0220160 + 2.61865i
\(729\) −2.51474 26.8826i −0.0931387 0.995653i
\(730\) −0.378928 + 1.43020i −0.0140248 + 0.0529340i
\(731\) 2.01500 + 0.684000i 0.0745274 + 0.0252986i
\(732\) 1.35632 + 6.13730i 0.0501310 + 0.226841i
\(733\) −0.832862 + 1.68888i −0.0307625 + 0.0623801i −0.911711 0.410831i \(-0.865239\pi\)
0.880949 + 0.473211i \(0.156905\pi\)
\(734\) −2.37902 + 7.07342i −0.0878112 + 0.261085i
\(735\) 1.51877 0.326725i 0.0560208 0.0120514i
\(736\) −30.7851 + 10.9335i −1.13475 + 0.403015i
\(737\) 49.5479i 1.82512i
\(738\) 19.5097 + 27.1586i 0.718161 + 0.999723i
\(739\) −3.40400 5.09444i −0.125218 0.187402i 0.763564 0.645732i \(-0.223448\pi\)
−0.888782 + 0.458330i \(0.848448\pi\)
\(740\) −0.688625 0.180386i −0.0253144 0.00663112i
\(741\) 1.75275 15.1270i 0.0643888 0.555706i
\(742\) 8.52806 + 31.4741i 0.313075 + 1.15545i
\(743\) 24.3160 + 18.6583i 0.892067 + 0.684507i 0.949475 0.313843i \(-0.101617\pi\)
−0.0574073 + 0.998351i \(0.518283\pi\)
\(744\) 2.37012 + 26.4400i 0.0868928 + 0.969336i
\(745\) 1.27093 0.975219i 0.0465633 0.0357293i
\(746\) 3.06623 4.01926i 0.112263 0.147156i
\(747\) −4.02641 10.7512i −0.147319 0.393364i
\(748\) −7.86081 + 0.559489i −0.287420 + 0.0204569i
\(749\) 24.1457 + 21.1752i 0.882263 + 0.773724i
\(750\) −3.09853 0.769606i −0.113142 0.0281020i
\(751\) −3.85450 + 14.3852i −0.140653 + 0.524923i 0.859258 + 0.511543i \(0.170926\pi\)
−0.999910 + 0.0133803i \(0.995741\pi\)
\(752\) 8.03709 14.2882i 0.293082 0.521036i
\(753\) −0.208787 + 4.18029i −0.00760864 + 0.152338i
\(754\) −67.5735 13.2444i −2.46088 0.482334i
\(755\) 0.631445 + 0.125602i 0.0229806 + 0.00457113i
\(756\) 34.4826 + 17.5749i 1.25412 + 0.639192i
\(757\) 21.1984 31.7256i 0.770467 1.15309i −0.213882 0.976859i \(-0.568611\pi\)
0.984350 0.176226i \(-0.0563890\pi\)
\(758\) −6.05899 + 14.7444i −0.220072 + 0.535542i
\(759\) −19.1096 53.5457i −0.693636 1.94359i
\(760\) −0.457020 + 0.159435i −0.0165779 + 0.00578331i
\(761\) 4.35886 5.68058i 0.158009 0.205921i −0.707640 0.706574i \(-0.750240\pi\)
0.865648 + 0.500653i \(0.166907\pi\)
\(762\) 26.3708 + 28.9798i 0.955312 + 1.04983i
\(763\) 15.5189 45.7173i 0.561823 1.65508i
\(764\) −24.9400 3.14131i −0.902297 0.113649i
\(765\) 0.143770 0.230361i 0.00519802 0.00832872i
\(766\) −52.1179 3.26933i −1.88310 0.118126i
\(767\) 18.7886 32.5427i 0.678415 1.17505i
\(768\) 27.0215 + 6.15142i 0.975053 + 0.221970i
\(769\) −10.9162 18.9073i −0.393647 0.681816i 0.599281 0.800539i \(-0.295453\pi\)
−0.992927 + 0.118723i \(0.962120\pi\)
\(770\) 1.73847 + 3.50051i 0.0626503 + 0.126150i
\(771\) −36.3576 + 10.3504i −1.30939 + 0.372759i
\(772\) −21.3755 + 28.1827i −0.769320 + 1.01432i