Properties

Label 576.2.bm.a.205.2
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 205.2
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41311 + 0.0559574i) q^{2} +(-1.05401 - 1.37443i) q^{3} +(1.99374 - 0.158147i) q^{4} +(1.11364 + 1.26986i) q^{5} +(1.56634 + 1.88324i) q^{6} +(-0.644387 - 0.0848352i) q^{7} +(-2.80851 + 0.335044i) q^{8} +(-0.778133 + 2.89733i) q^{9} +O(q^{10})\) \(q+(-1.41311 + 0.0559574i) q^{2} +(-1.05401 - 1.37443i) q^{3} +(1.99374 - 0.158147i) q^{4} +(1.11364 + 1.26986i) q^{5} +(1.56634 + 1.88324i) q^{6} +(-0.644387 - 0.0848352i) q^{7} +(-2.80851 + 0.335044i) q^{8} +(-0.778133 + 2.89733i) q^{9} +(-1.64475 - 1.73214i) q^{10} +(-2.31665 - 4.69770i) q^{11} +(-2.31878 - 2.57357i) q^{12} +(1.12545 + 3.31547i) q^{13} +(0.915335 + 0.0838229i) q^{14} +(0.571556 - 2.86907i) q^{15} +(3.94998 - 0.630609i) q^{16} +(-2.81312 - 2.81312i) q^{17} +(0.937457 - 4.13777i) q^{18} +(0.851862 - 4.28260i) q^{19} +(2.42113 + 2.35565i) q^{20} +(0.562589 + 0.975084i) q^{21} +(3.53655 + 6.50872i) q^{22} +(0.0561046 + 0.426157i) q^{23} +(3.42069 + 3.50697i) q^{24} +(0.280273 - 2.12888i) q^{25} +(-1.77590 - 4.62213i) q^{26} +(4.80234 - 1.98432i) q^{27} +(-1.29816 - 0.0672309i) q^{28} +(-0.430131 + 0.0281922i) q^{29} +(-0.647123 + 4.08628i) q^{30} +(-1.34030 + 0.773823i) q^{31} +(-5.54645 + 1.11215i) q^{32} +(-4.01491 + 8.13550i) q^{33} +(4.13265 + 3.81782i) q^{34} +(-0.609887 - 0.912760i) q^{35} +(-1.09319 + 5.89957i) q^{36} +(-0.485089 - 2.43871i) q^{37} +(-0.964128 + 6.09943i) q^{38} +(3.37065 - 5.04138i) q^{39} +(-3.55313 - 3.19331i) q^{40} +(-1.46420 - 11.1217i) q^{41} +(-0.849562 - 1.34642i) q^{42} +(3.21561 - 1.58576i) q^{43} +(-5.36173 - 8.99962i) q^{44} +(-4.54577 + 2.23846i) q^{45} +(-0.103128 - 0.599065i) q^{46} +(-11.7514 + 3.14878i) q^{47} +(-5.03004 - 4.76431i) q^{48} +(-6.35344 - 1.70240i) q^{49} +(-0.276928 + 3.02402i) q^{50} +(-0.901393 + 6.83150i) q^{51} +(2.76818 + 6.43218i) q^{52} +(-2.72766 + 4.08223i) q^{53} +(-6.67518 + 3.07278i) q^{54} +(3.38553 - 8.17338i) q^{55} +(1.83819 + 0.0223630i) q^{56} +(-6.78401 + 3.34307i) q^{57} +(0.606243 - 0.0639076i) q^{58} +(-5.86947 - 6.69285i) q^{59} +(0.685796 - 5.81056i) q^{60} +(-0.622214 - 9.49315i) q^{61} +(1.85069 - 1.16849i) q^{62} +(0.747214 - 1.80099i) q^{63} +(7.77549 - 1.88195i) q^{64} +(-2.95684 + 5.12140i) q^{65} +(5.21825 - 11.7210i) q^{66} +(-1.70680 - 0.841701i) q^{67} +(-6.05351 - 5.16374i) q^{68} +(0.526589 - 0.526285i) q^{69} +(0.912910 + 1.25570i) q^{70} +(-0.383177 - 0.925070i) q^{71} +(1.21466 - 8.39789i) q^{72} +(-0.871779 + 2.10466i) q^{73} +(0.821947 + 3.41901i) q^{74} +(-3.22142 + 1.85864i) q^{75} +(1.02111 - 8.67310i) q^{76} +(1.09429 + 3.22367i) q^{77} +(-4.48099 + 7.31262i) q^{78} +(-0.586219 - 2.18780i) q^{79} +(5.19964 + 4.31366i) q^{80} +(-7.78902 - 4.50901i) q^{81} +(2.69141 + 15.6342i) q^{82} +(6.77629 + 5.94265i) q^{83} +(1.27586 + 1.85509i) q^{84} +(0.439474 - 6.70508i) q^{85} +(-4.45526 + 2.42079i) q^{86} +(0.492110 + 0.561471i) q^{87} +(8.08028 + 12.4174i) q^{88} +(-2.69400 + 1.11589i) q^{89} +(6.29840 - 3.41755i) q^{90} +(-0.443957 - 2.23192i) q^{91} +(0.179253 + 0.840772i) q^{92} +(2.47626 + 1.02654i) q^{93} +(16.4298 - 5.10713i) q^{94} +(6.38698 - 3.68753i) q^{95} +(7.37458 + 6.45101i) q^{96} +(6.88699 + 3.97621i) q^{97} +(9.07335 + 2.05015i) q^{98} +(15.4135 - 3.05666i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41311 + 0.0559574i −0.999217 + 0.0395679i
\(3\) −1.05401 1.37443i −0.608532 0.793529i
\(4\) 1.99374 0.158147i 0.996869 0.0790737i
\(5\) 1.11364 + 1.26986i 0.498035 + 0.567900i 0.945175 0.326564i \(-0.105891\pi\)
−0.447140 + 0.894464i \(0.647557\pi\)
\(6\) 1.56634 + 1.88324i 0.639454 + 0.768830i
\(7\) −0.644387 0.0848352i −0.243556 0.0320647i 0.00776008 0.999970i \(-0.497530\pi\)
−0.251316 + 0.967905i \(0.580863\pi\)
\(8\) −2.80851 + 0.335044i −0.992959 + 0.118456i
\(9\) −0.778133 + 2.89733i −0.259378 + 0.965776i
\(10\) −1.64475 1.73214i −0.520116 0.547749i
\(11\) −2.31665 4.69770i −0.698497 1.41641i −0.899544 0.436830i \(-0.856101\pi\)
0.201048 0.979581i \(-0.435565\pi\)
\(12\) −2.31878 2.57357i −0.669374 0.742926i
\(13\) 1.12545 + 3.31547i 0.312143 + 0.919545i 0.983892 + 0.178765i \(0.0572103\pi\)
−0.671748 + 0.740779i \(0.734456\pi\)
\(14\) 0.915335 + 0.0838229i 0.244634 + 0.0224026i
\(15\) 0.571556 2.86907i 0.147575 0.740791i
\(16\) 3.94998 0.630609i 0.987495 0.157652i
\(17\) −2.81312 2.81312i −0.682282 0.682282i 0.278232 0.960514i \(-0.410252\pi\)
−0.960514 + 0.278232i \(0.910252\pi\)
\(18\) 0.937457 4.13777i 0.220961 0.975283i
\(19\) 0.851862 4.28260i 0.195431 0.982496i −0.751175 0.660103i \(-0.770513\pi\)
0.946606 0.322393i \(-0.104487\pi\)
\(20\) 2.42113 + 2.35565i 0.541382 + 0.526740i
\(21\) 0.562589 + 0.975084i 0.122767 + 0.212781i
\(22\) 3.53655 + 6.50872i 0.753994 + 1.38766i
\(23\) 0.0561046 + 0.426157i 0.0116986 + 0.0888598i 0.996298 0.0859652i \(-0.0273974\pi\)
−0.984600 + 0.174825i \(0.944064\pi\)
\(24\) 3.42069 + 3.50697i 0.698246 + 0.715858i
\(25\) 0.280273 2.12888i 0.0560545 0.425777i
\(26\) −1.77590 4.62213i −0.348283 0.906474i
\(27\) 4.80234 1.98432i 0.924211 0.381882i
\(28\) −1.29816 0.0672309i −0.245328 0.0127054i
\(29\) −0.430131 + 0.0281922i −0.0798732 + 0.00523517i −0.105287 0.994442i \(-0.533576\pi\)
0.0254141 + 0.999677i \(0.491910\pi\)
\(30\) −0.647123 + 4.08628i −0.118148 + 0.746050i
\(31\) −1.34030 + 0.773823i −0.240725 + 0.138983i −0.615510 0.788129i \(-0.711050\pi\)
0.374785 + 0.927112i \(0.377717\pi\)
\(32\) −5.54645 + 1.11215i −0.980483 + 0.196602i
\(33\) −4.01491 + 8.13550i −0.698906 + 1.41621i
\(34\) 4.13265 + 3.81782i 0.708744 + 0.654751i
\(35\) −0.609887 0.912760i −0.103090 0.154285i
\(36\) −1.09319 + 5.89957i −0.182198 + 0.983262i
\(37\) −0.485089 2.43871i −0.0797482 0.400921i −0.999955 0.00948870i \(-0.996980\pi\)
0.920207 0.391433i \(-0.128020\pi\)
\(38\) −0.964128 + 6.09943i −0.156402 + 0.989459i
\(39\) 3.37065 5.04138i 0.539737 0.807267i
\(40\) −3.55313 3.19331i −0.561800 0.504907i
\(41\) −1.46420 11.1217i −0.228669 1.73692i −0.592607 0.805492i \(-0.701901\pi\)
0.363938 0.931423i \(-0.381432\pi\)
\(42\) −0.849562 1.34642i −0.131090 0.207757i
\(43\) 3.21561 1.58576i 0.490376 0.241827i −0.180252 0.983620i \(-0.557691\pi\)
0.670628 + 0.741794i \(0.266025\pi\)
\(44\) −5.36173 8.99962i −0.808310 1.35674i
\(45\) −4.54577 + 2.23846i −0.677643 + 0.333690i
\(46\) −0.103128 0.599065i −0.0152054 0.0883273i
\(47\) −11.7514 + 3.14878i −1.71412 + 0.459296i −0.976428 0.215844i \(-0.930750\pi\)
−0.737689 + 0.675141i \(0.764083\pi\)
\(48\) −5.03004 4.76431i −0.726024 0.687670i
\(49\) −6.35344 1.70240i −0.907635 0.243200i
\(50\) −0.276928 + 3.02402i −0.0391636 + 0.427661i
\(51\) −0.901393 + 6.83150i −0.126220 + 0.956601i
\(52\) 2.76818 + 6.43218i 0.383878 + 0.891983i
\(53\) −2.72766 + 4.08223i −0.374672 + 0.560737i −0.970110 0.242664i \(-0.921979\pi\)
0.595438 + 0.803401i \(0.296979\pi\)
\(54\) −6.67518 + 3.07278i −0.908377 + 0.418152i
\(55\) 3.38553 8.17338i 0.456504 1.10210i
\(56\) 1.83819 + 0.0223630i 0.245639 + 0.00298838i
\(57\) −6.78401 + 3.34307i −0.898565 + 0.442800i
\(58\) 0.606243 0.0639076i 0.0796036 0.00839148i
\(59\) −5.86947 6.69285i −0.764140 0.871335i 0.230675 0.973031i \(-0.425907\pi\)
−0.994816 + 0.101696i \(0.967573\pi\)
\(60\) 0.685796 5.81056i 0.0885359 0.750141i
\(61\) −0.622214 9.49315i −0.0796663 1.21547i −0.831274 0.555863i \(-0.812388\pi\)
0.751608 0.659610i \(-0.229279\pi\)
\(62\) 1.85069 1.16849i 0.235037 0.148399i
\(63\) 0.747214 1.80099i 0.0941401 0.226903i
\(64\) 7.77549 1.88195i 0.971936 0.235244i
\(65\) −2.95684 + 5.12140i −0.366751 + 0.635232i
\(66\) 5.21825 11.7210i 0.642322 1.44275i
\(67\) −1.70680 0.841701i −0.208519 0.102830i 0.335031 0.942207i \(-0.391253\pi\)
−0.543550 + 0.839377i \(0.682920\pi\)
\(68\) −6.05351 5.16374i −0.734096 0.626195i
\(69\) 0.526589 0.526285i 0.0633939 0.0633572i
\(70\) 0.912910 + 1.25570i 0.109114 + 0.150085i
\(71\) −0.383177 0.925070i −0.0454747 0.109786i 0.899510 0.436900i \(-0.143924\pi\)
−0.944985 + 0.327115i \(0.893924\pi\)
\(72\) 1.21466 8.39789i 0.143150 0.989701i
\(73\) −0.871779 + 2.10466i −0.102034 + 0.246332i −0.966650 0.256102i \(-0.917562\pi\)
0.864616 + 0.502433i \(0.167562\pi\)
\(74\) 0.821947 + 3.41901i 0.0955494 + 0.397452i
\(75\) −3.22142 + 1.85864i −0.371977 + 0.214618i
\(76\) 1.02111 8.67310i 0.117129 0.994873i
\(77\) 1.09429 + 3.22367i 0.124706 + 0.367372i
\(78\) −4.48099 + 7.31262i −0.507372 + 0.827991i
\(79\) −0.586219 2.18780i −0.0659547 0.246146i 0.925076 0.379783i \(-0.124001\pi\)
−0.991030 + 0.133636i \(0.957335\pi\)
\(80\) 5.19964 + 4.31366i 0.581338 + 0.482282i
\(81\) −7.78902 4.50901i −0.865447 0.501001i
\(82\) 2.69141 + 15.6342i 0.297216 + 1.72651i
\(83\) 6.77629 + 5.94265i 0.743794 + 0.652290i 0.944930 0.327273i \(-0.106130\pi\)
−0.201135 + 0.979563i \(0.564463\pi\)
\(84\) 1.27586 + 1.85509i 0.139208 + 0.202407i
\(85\) 0.439474 6.70508i 0.0476677 0.727268i
\(86\) −4.45526 + 2.42079i −0.480423 + 0.261040i
\(87\) 0.492110 + 0.561471i 0.0527597 + 0.0601960i
\(88\) 8.08028 + 12.4174i 0.861361 + 1.32370i
\(89\) −2.69400 + 1.11589i −0.285564 + 0.118284i −0.520868 0.853637i \(-0.674391\pi\)
0.235304 + 0.971922i \(0.424391\pi\)
\(90\) 6.29840 3.41755i 0.663909 0.360241i
\(91\) −0.443957 2.23192i −0.0465393 0.233969i
\(92\) 0.179253 + 0.840772i 0.0186885 + 0.0876565i
\(93\) 2.47626 + 1.02654i 0.256776 + 0.106447i
\(94\) 16.4298 5.10713i 1.69460 0.526760i
\(95\) 6.38698 3.68753i 0.655291 0.378332i
\(96\) 7.37458 + 6.45101i 0.752665 + 0.658404i
\(97\) 6.88699 + 3.97621i 0.699268 + 0.403723i 0.807075 0.590449i \(-0.201049\pi\)
−0.107807 + 0.994172i \(0.534383\pi\)
\(98\) 9.07335 + 2.05015i 0.916547 + 0.207096i
\(99\) 15.4135 3.05666i 1.54911 0.307206i
\(100\) 0.222113 4.28876i 0.0222113 0.428876i
\(101\) 17.4395 + 5.91990i 1.73529 + 0.589052i 0.996400 0.0847722i \(-0.0270162\pi\)
0.738892 + 0.673824i \(0.235350\pi\)
\(102\) 0.891491 9.70407i 0.0882708 0.960846i
\(103\) −9.66518 7.41635i −0.952338 0.730755i 0.0107497 0.999942i \(-0.496578\pi\)
−0.963088 + 0.269187i \(0.913245\pi\)
\(104\) −4.27166 8.93446i −0.418871 0.876095i
\(105\) −0.611702 + 1.80030i −0.0596960 + 0.175692i
\(106\) 3.62604 5.92125i 0.352192 0.575123i
\(107\) −7.65063 5.11199i −0.739615 0.494195i 0.127788 0.991802i \(-0.459212\pi\)
−0.867403 + 0.497607i \(0.834212\pi\)
\(108\) 9.26079 4.71569i 0.891120 0.453767i
\(109\) −3.37614 + 16.9730i −0.323375 + 1.62572i 0.387130 + 0.922025i \(0.373466\pi\)
−0.710505 + 0.703692i \(0.751534\pi\)
\(110\) −4.32675 + 11.7393i −0.412539 + 1.11930i
\(111\) −2.84055 + 3.23714i −0.269613 + 0.307256i
\(112\) −2.59881 + 0.0712593i −0.245565 + 0.00673337i
\(113\) 6.89393 + 1.84722i 0.648526 + 0.173772i 0.568062 0.822985i \(-0.307693\pi\)
0.0804637 + 0.996758i \(0.474360\pi\)
\(114\) 9.39946 5.10373i 0.880340 0.478008i
\(115\) −0.478680 + 0.545830i −0.0446372 + 0.0508989i
\(116\) −0.853109 + 0.124232i −0.0792092 + 0.0115347i
\(117\) −10.4817 + 0.680923i −0.969037 + 0.0629514i
\(118\) 8.66870 + 9.12927i 0.798019 + 0.840417i
\(119\) 1.57409 + 2.05139i 0.144296 + 0.188051i
\(120\) −0.643959 + 8.24932i −0.0587851 + 0.753056i
\(121\) −10.0052 + 13.0390i −0.909562 + 1.18536i
\(122\) 1.41047 + 13.3800i 0.127698 + 1.21137i
\(123\) −13.7427 + 13.7348i −1.23914 + 1.23842i
\(124\) −2.54983 + 1.75477i −0.228982 + 0.157583i
\(125\) 10.0373 6.70671i 0.897764 0.599867i
\(126\) −0.955114 + 2.58680i −0.0850883 + 0.230450i
\(127\) 4.15644 0.368825 0.184412 0.982849i \(-0.440962\pi\)
0.184412 + 0.982849i \(0.440962\pi\)
\(128\) −10.8823 + 3.09449i −0.961867 + 0.273517i
\(129\) −5.56881 2.74823i −0.490306 0.241968i
\(130\) 3.89175 7.40254i 0.341329 0.649246i
\(131\) 12.8417 + 6.33281i 1.12198 + 0.553300i 0.906076 0.423114i \(-0.139063\pi\)
0.215905 + 0.976414i \(0.430730\pi\)
\(132\) −6.71807 + 16.8550i −0.584733 + 1.46704i
\(133\) −0.912244 + 2.68738i −0.0791016 + 0.233026i
\(134\) 2.45899 + 1.09391i 0.212424 + 0.0944990i
\(135\) 7.86789 + 3.88850i 0.677160 + 0.334669i
\(136\) 8.84320 + 6.95817i 0.758298 + 0.596658i
\(137\) −13.1602 17.1508i −1.12436 1.46529i −0.866549 0.499093i \(-0.833667\pi\)
−0.257807 0.966196i \(-0.583000\pi\)
\(138\) −0.714677 + 0.773163i −0.0608373 + 0.0658160i
\(139\) −1.99440 0.130720i −0.169163 0.0110875i −0.0194138 0.999812i \(-0.506180\pi\)
−0.149749 + 0.988724i \(0.547847\pi\)
\(140\) −1.36030 1.72335i −0.114967 0.145650i
\(141\) 16.7138 + 12.8327i 1.40756 + 1.08071i
\(142\) 0.593234 + 1.28578i 0.0497831 + 0.107900i
\(143\) 12.9678 12.9678i 1.08442 1.08442i
\(144\) −1.24653 + 11.9351i −0.103877 + 0.994590i
\(145\) −0.514811 0.514811i −0.0427527 0.0427527i
\(146\) 1.11414 3.02289i 0.0922073 0.250176i
\(147\) 4.35675 + 10.5267i 0.359338 + 0.868230i
\(148\) −1.35282 4.78543i −0.111201 0.393360i
\(149\) 1.26902 19.3616i 0.103962 1.58616i −0.553614 0.832773i \(-0.686752\pi\)
0.657577 0.753387i \(-0.271581\pi\)
\(150\) 4.44820 2.80672i 0.363194 0.229168i
\(151\) 3.48968 2.67773i 0.283987 0.217911i −0.456938 0.889498i \(-0.651054\pi\)
0.740925 + 0.671588i \(0.234387\pi\)
\(152\) −0.957608 + 12.3131i −0.0776723 + 0.998728i
\(153\) 10.3395 5.96155i 0.835900 0.481963i
\(154\) −1.72674 4.49416i −0.139144 0.362150i
\(155\) −2.47526 0.840238i −0.198818 0.0674896i
\(156\) 5.92292 10.5843i 0.474213 0.847419i
\(157\) −7.93635 + 16.0933i −0.633390 + 1.28439i 0.309379 + 0.950939i \(0.399879\pi\)
−0.942768 + 0.333448i \(0.891788\pi\)
\(158\) 0.950812 + 3.05879i 0.0756426 + 0.243344i
\(159\) 8.48572 0.553720i 0.672961 0.0439128i
\(160\) −7.58903 5.80470i −0.599965 0.458902i
\(161\) 0.279370i 0.0220174i
\(162\) 11.2590 + 5.93586i 0.884592 + 0.466365i
\(163\) −0.619166 0.926648i −0.0484968 0.0725807i 0.806429 0.591331i \(-0.201397\pi\)
−0.854926 + 0.518750i \(0.826397\pi\)
\(164\) −4.67809 21.9422i −0.365298 1.71339i
\(165\) −14.8021 + 3.96164i −1.15235 + 0.308413i
\(166\) −9.90815 8.01841i −0.769022 0.622349i
\(167\) 6.70290 + 5.14331i 0.518686 + 0.398002i 0.834659 0.550766i \(-0.185664\pi\)
−0.315974 + 0.948768i \(0.602331\pi\)
\(168\) −1.90674 2.55004i −0.147108 0.196740i
\(169\) 0.587914 0.451122i 0.0452241 0.0347017i
\(170\) −0.245825 + 9.49958i −0.0188539 + 0.728585i
\(171\) 11.7452 + 5.80055i 0.898180 + 0.443579i
\(172\) 6.16030 3.67014i 0.469718 0.279845i
\(173\) 11.4019 + 9.99923i 0.866873 + 0.760227i 0.972186 0.234212i \(-0.0752510\pi\)
−0.105313 + 0.994439i \(0.533584\pi\)
\(174\) −0.726822 0.765881i −0.0551002 0.0580613i
\(175\) −0.361208 + 1.34805i −0.0273048 + 0.101903i
\(176\) −12.1131 17.0949i −0.913062 1.28858i
\(177\) −3.01240 + 15.1215i −0.226426 + 1.13660i
\(178\) 3.74447 1.72762i 0.280660 0.129491i
\(179\) 12.7547 + 2.53706i 0.953328 + 0.189629i 0.647165 0.762350i \(-0.275955\pi\)
0.306163 + 0.951979i \(0.400955\pi\)
\(180\) −8.70907 + 5.18180i −0.649135 + 0.386229i
\(181\) 7.77821 11.6409i 0.578150 0.865262i −0.420976 0.907072i \(-0.638312\pi\)
0.999126 + 0.0418095i \(0.0133122\pi\)
\(182\) 0.752251 + 3.12910i 0.0557605 + 0.231944i
\(183\) −12.3919 + 10.8610i −0.916034 + 0.802872i
\(184\) −0.300352 1.17807i −0.0221422 0.0868484i
\(185\) 2.55661 3.33184i 0.187966 0.244962i
\(186\) −3.55666 1.31204i −0.260787 0.0962036i
\(187\) −6.69819 + 19.7322i −0.489820 + 1.44296i
\(188\) −22.9312 + 8.13629i −1.67243 + 0.593400i
\(189\) −3.26291 + 0.871261i −0.237342 + 0.0633749i
\(190\) −8.81914 + 5.56826i −0.639808 + 0.403964i
\(191\) −5.95634 + 10.3167i −0.430986 + 0.746490i −0.996958 0.0779345i \(-0.975167\pi\)
0.565973 + 0.824424i \(0.308501\pi\)
\(192\) −10.7820 8.70330i −0.778127 0.628107i
\(193\) −4.28110 7.41509i −0.308161 0.533750i 0.669799 0.742542i \(-0.266380\pi\)
−0.977960 + 0.208792i \(0.933047\pi\)
\(194\) −9.95455 5.23342i −0.714695 0.375738i
\(195\) 10.1556 1.33402i 0.727255 0.0955310i
\(196\) −12.9363 2.38936i −0.924023 0.170668i
\(197\) 11.2884 2.24541i 0.804267 0.159979i 0.224196 0.974544i \(-0.428025\pi\)
0.580072 + 0.814565i \(0.303025\pi\)
\(198\) −21.6098 + 5.18189i −1.53574 + 0.368261i
\(199\) −8.31705 20.0791i −0.589580 1.42337i −0.883905 0.467667i \(-0.845095\pi\)
0.294324 0.955706i \(-0.404905\pi\)
\(200\) −0.0738812 + 6.07290i −0.00522419 + 0.429419i
\(201\) 0.642121 + 3.23305i 0.0452917 + 0.228041i
\(202\) −24.9751 7.38958i −1.75724 0.519929i
\(203\) 0.279562 + 0.0183235i 0.0196214 + 0.00128606i
\(204\) −0.716757 + 13.7628i −0.0501830 + 0.963586i
\(205\) 12.4924 14.2449i 0.872509 0.994906i
\(206\) 14.0729 + 9.93925i 0.980507 + 0.692500i
\(207\) −1.27837 0.169053i −0.0888530 0.0117500i
\(208\) 6.53626 + 12.3863i 0.453208 + 0.858836i
\(209\) −22.0919 + 5.91949i −1.52813 + 0.409460i
\(210\) 0.763659 2.57825i 0.0526975 0.177916i
\(211\) 9.17064 3.11301i 0.631333 0.214309i 0.0126132 0.999920i \(-0.495985\pi\)
0.618720 + 0.785612i \(0.287652\pi\)
\(212\) −4.79264 + 8.57026i −0.329160 + 0.588608i
\(213\) −0.867576 + 1.50168i −0.0594453 + 0.102894i
\(214\) 11.0972 + 6.79568i 0.758590 + 0.464543i
\(215\) 5.59474 + 2.31742i 0.381558 + 0.158046i
\(216\) −12.8226 + 7.18197i −0.872468 + 0.488671i
\(217\) 0.929320 0.384937i 0.0630864 0.0261312i
\(218\) 3.82107 24.1735i 0.258796 1.63724i
\(219\) 3.81158 1.02013i 0.257563 0.0689339i
\(220\) 5.45725 16.8310i 0.367928 1.13475i
\(221\) 6.16078 12.4928i 0.414419 0.840359i
\(222\) 3.83286 4.73338i 0.257245 0.317683i
\(223\) −18.3594 10.5998i −1.22944 0.709816i −0.262525 0.964925i \(-0.584555\pi\)
−0.966912 + 0.255109i \(0.917889\pi\)
\(224\) 3.66841 0.246120i 0.245106 0.0164446i
\(225\) 5.94998 + 2.46859i 0.396665 + 0.164573i
\(226\) −9.84522 2.22455i −0.654894 0.147975i
\(227\) 27.1286 1.77810i 1.80059 0.118017i 0.872087 0.489351i \(-0.162766\pi\)
0.928499 + 0.371335i \(0.121100\pi\)
\(228\) −12.9968 + 7.73808i −0.860737 + 0.512467i
\(229\) −0.938056 + 0.822653i −0.0619885 + 0.0543625i −0.689780 0.724019i \(-0.742293\pi\)
0.627791 + 0.778382i \(0.283959\pi\)
\(230\) 0.645883 0.798102i 0.0425883 0.0526253i
\(231\) 3.27733 4.90181i 0.215633 0.322515i
\(232\) 1.19858 0.223291i 0.0786907 0.0146598i
\(233\) 5.83700 + 2.41777i 0.382395 + 0.158393i 0.565596 0.824682i \(-0.308646\pi\)
−0.183202 + 0.983075i \(0.558646\pi\)
\(234\) 14.7737 1.54875i 0.965788 0.101245i
\(235\) −17.0853 11.4161i −1.11452 0.744702i
\(236\) −12.7606 12.4155i −0.830648 0.808183i
\(237\) −2.38910 + 3.11167i −0.155189 + 0.202125i
\(238\) −2.33914 2.81075i −0.151624 0.182194i
\(239\) −1.91285 + 7.13885i −0.123732 + 0.461774i −0.999791 0.0204294i \(-0.993497\pi\)
0.876059 + 0.482203i \(0.160163\pi\)
\(240\) 0.448372 11.6932i 0.0289423 0.754793i
\(241\) 7.58804 + 28.3190i 0.488789 + 1.82419i 0.562357 + 0.826895i \(0.309895\pi\)
−0.0735676 + 0.997290i \(0.523438\pi\)
\(242\) 13.4087 18.9854i 0.861947 1.22042i
\(243\) 2.01236 + 15.4580i 0.129093 + 0.991633i
\(244\) −2.74185 18.8284i −0.175529 1.20537i
\(245\) −4.91363 9.96386i −0.313921 0.636568i
\(246\) 18.6514 20.1777i 1.18917 1.28648i
\(247\) 15.1575 1.99553i 0.964451 0.126972i
\(248\) 3.50499 2.62235i 0.222567 0.166519i
\(249\) 1.02550 15.5772i 0.0649886 0.987162i
\(250\) −13.8085 + 10.0390i −0.873325 + 0.634920i
\(251\) 10.8924 2.16664i 0.687525 0.136757i 0.161048 0.986947i \(-0.448513\pi\)
0.526477 + 0.850189i \(0.323513\pi\)
\(252\) 1.20493 3.70887i 0.0759033 0.233637i
\(253\) 1.87198 1.25082i 0.117691 0.0786383i
\(254\) −5.87349 + 0.232584i −0.368536 + 0.0145936i
\(255\) −9.67890 + 6.46319i −0.606116 + 0.404740i
\(256\) 15.2047 4.98179i 0.950292 0.311362i
\(257\) 0.531900 + 0.921279i 0.0331790 + 0.0574678i 0.882138 0.470991i \(-0.156104\pi\)
−0.848959 + 0.528459i \(0.822770\pi\)
\(258\) 8.02310 + 3.57193i 0.499496 + 0.222379i
\(259\) 0.105697 + 1.61263i 0.00656770 + 0.100204i
\(260\) −5.08523 + 10.6784i −0.315373 + 0.662243i
\(261\) 0.253016 1.26817i 0.0156613 0.0784975i
\(262\) −18.5010 8.23034i −1.14300 0.508472i
\(263\) −4.16172 0.547901i −0.256623 0.0337850i 0.00111715 0.999999i \(-0.499644\pi\)
−0.257740 + 0.966214i \(0.582978\pi\)
\(264\) 8.55018 24.1938i 0.526227 1.48903i
\(265\) −8.22150 + 1.08238i −0.505043 + 0.0664901i
\(266\) 1.13872 3.84861i 0.0698193 0.235973i
\(267\) 4.37322 + 2.52657i 0.267637 + 0.154623i
\(268\) −3.53603 1.40821i −0.215997 0.0860198i
\(269\) −7.90769 1.57294i −0.482140 0.0959037i −0.0519648 0.998649i \(-0.516548\pi\)
−0.430176 + 0.902745i \(0.641548\pi\)
\(270\) −11.3358 5.05460i −0.689872 0.307613i
\(271\) 21.2801 21.2801i 1.29268 1.29268i 0.359551 0.933126i \(-0.382930\pi\)
0.933126 0.359551i \(-0.117070\pi\)
\(272\) −12.8857 9.33779i −0.781313 0.566186i
\(273\) −2.59969 + 2.96265i −0.157341 + 0.179308i
\(274\) 19.5565 + 23.4994i 1.18145 + 1.41965i
\(275\) −10.6502 + 3.61524i −0.642229 + 0.218007i
\(276\) 0.966650 1.13255i 0.0581855 0.0681716i
\(277\) 14.2371 7.02096i 0.855424 0.421849i 0.0389576 0.999241i \(-0.487596\pi\)
0.816467 + 0.577392i \(0.195930\pi\)
\(278\) 2.82562 + 0.0731198i 0.169469 + 0.00438543i
\(279\) −1.19909 4.48543i −0.0717875 0.268536i
\(280\) 2.01869 + 2.35916i 0.120640 + 0.140987i
\(281\) −3.77618 + 28.6829i −0.225268 + 1.71108i 0.388380 + 0.921499i \(0.373035\pi\)
−0.613648 + 0.789580i \(0.710299\pi\)
\(282\) −24.3365 17.1987i −1.44922 1.02417i
\(283\) −16.9265 + 14.8441i −1.00618 + 0.882393i −0.993070 0.117521i \(-0.962505\pi\)
−0.0131061 + 0.999914i \(0.504172\pi\)
\(284\) −0.910251 1.78375i −0.0540135 0.105846i
\(285\) −11.8002 4.89180i −0.698983 0.289765i
\(286\) −17.5992 + 19.0505i −1.04066 + 1.12648i
\(287\) 7.29089i 0.430367i
\(288\) 1.09362 16.9353i 0.0644420 0.997921i
\(289\) 1.17271i 0.0689828i
\(290\) 0.756290 + 0.698675i 0.0444109 + 0.0410276i
\(291\) −1.79392 13.6567i −0.105161 0.800568i
\(292\) −1.40525 + 4.33401i −0.0822361 + 0.253629i
\(293\) 23.4403 20.5566i 1.36940 1.20093i 0.412338 0.911031i \(-0.364712\pi\)
0.957058 0.289897i \(-0.0936212\pi\)
\(294\) −6.74559 14.6316i −0.393411 0.853332i
\(295\) 1.96253 14.9069i 0.114263 0.867911i
\(296\) 2.17945 + 6.68662i 0.126678 + 0.388652i
\(297\) −20.4471 17.9630i −1.18646 1.04232i
\(298\) −0.709842 + 27.4309i −0.0411201 + 1.58903i
\(299\) −1.34977 + 0.665631i −0.0780589 + 0.0384944i
\(300\) −6.12872 + 4.21511i −0.353842 + 0.243359i
\(301\) −2.20663 + 0.749049i −0.127188 + 0.0431745i
\(302\) −4.78146 + 3.97919i −0.275142 + 0.228977i
\(303\) −10.2448 30.2090i −0.588551 1.73546i
\(304\) 0.664190 17.4534i 0.0380939 1.00102i
\(305\) 11.3621 11.3621i 0.650591 0.650591i
\(306\) −14.2772 + 9.00288i −0.816175 + 0.514660i
\(307\) −19.8338 3.94519i −1.13197 0.225164i −0.406659 0.913580i \(-0.633306\pi\)
−0.725316 + 0.688416i \(0.758306\pi\)
\(308\) 2.69154 + 6.25410i 0.153365 + 0.356361i
\(309\) −0.00610041 + 21.1010i −0.000347040 + 1.20040i
\(310\) 3.54483 + 1.04884i 0.201333 + 0.0595699i
\(311\) −17.3460 + 2.28364i −0.983601 + 0.129494i −0.605136 0.796122i \(-0.706881\pi\)
−0.378465 + 0.925616i \(0.623548\pi\)
\(312\) −7.77744 + 15.2881i −0.440311 + 0.865519i
\(313\) 8.47174 + 1.11533i 0.478851 + 0.0630419i 0.366088 0.930580i \(-0.380697\pi\)
0.112762 + 0.993622i \(0.464030\pi\)
\(314\) 10.3144 23.1857i 0.582073 1.30844i
\(315\) 3.11914 1.05679i 0.175743 0.0595436i
\(316\) −1.51476 4.26918i −0.0852119 0.240160i
\(317\) 0.688732 + 10.5080i 0.0386830 + 0.590189i 0.972569 + 0.232617i \(0.0747287\pi\)
−0.933885 + 0.357572i \(0.883605\pi\)
\(318\) −11.9602 + 1.25730i −0.670697 + 0.0705061i
\(319\) 1.12890 + 1.95531i 0.0632064 + 0.109477i
\(320\) 11.0489 + 7.77800i 0.617653 + 0.434803i
\(321\) 1.03774 + 15.9034i 0.0579212 + 0.887639i
\(322\) 0.0156328 + 0.394779i 0.000871182 + 0.0220002i
\(323\) −14.4439 + 9.65108i −0.803678 + 0.537000i
\(324\) −16.2423 7.75797i −0.902353 0.430998i
\(325\) 7.37367 1.46671i 0.409018 0.0813587i
\(326\) 0.926800 + 1.27480i 0.0513307 + 0.0706049i
\(327\) 26.8867 13.2494i 1.48684 0.732693i
\(328\) 7.83847 + 30.7448i 0.432807 + 1.69760i
\(329\) 7.83958 1.03210i 0.432210 0.0569015i
\(330\) 20.6953 6.42650i 1.13924 0.353767i
\(331\) 1.67893 + 3.40453i 0.0922823 + 0.187130i 0.938120 0.346310i \(-0.112566\pi\)
−0.845838 + 0.533440i \(0.820899\pi\)
\(332\) 14.4500 + 10.7764i 0.793044 + 0.591433i
\(333\) 7.44320 + 0.492176i 0.407885 + 0.0269711i
\(334\) −9.75971 6.89297i −0.534028 0.377167i
\(335\) −0.831917 3.10476i −0.0454525 0.169631i
\(336\) 2.83711 + 3.49679i 0.154777 + 0.190765i
\(337\) −6.18176 + 23.0707i −0.336742 + 1.25674i 0.565226 + 0.824936i \(0.308789\pi\)
−0.901968 + 0.431803i \(0.857878\pi\)
\(338\) −0.805541 + 0.670382i −0.0438156 + 0.0364639i
\(339\) −4.72737 11.4222i −0.256756 0.620370i
\(340\) −0.184195 13.4377i −0.00998940 0.728760i
\(341\) 6.74020 + 4.50366i 0.365002 + 0.243887i
\(342\) −16.9218 7.53956i −0.915028 0.407693i
\(343\) 8.15297 + 3.37707i 0.440219 + 0.182345i
\(344\) −8.49978 + 5.53101i −0.458278 + 0.298212i
\(345\) 1.25474 + 0.0826044i 0.0675530 + 0.00444727i
\(346\) −16.6717 13.4919i −0.896275 0.725332i
\(347\) −25.3388 + 22.2215i −1.36026 + 1.19291i −0.399100 + 0.916907i \(0.630677\pi\)
−0.961156 + 0.276005i \(0.910989\pi\)
\(348\) 1.06993 + 1.04160i 0.0573544 + 0.0558356i
\(349\) −28.1429 + 1.84458i −1.50646 + 0.0987383i −0.796126 0.605131i \(-0.793121\pi\)
−0.710330 + 0.703869i \(0.751454\pi\)
\(350\) 0.434992 1.92515i 0.0232513 0.102903i
\(351\) 11.9837 + 13.6888i 0.639644 + 0.730652i
\(352\) 18.0737 + 23.4791i 0.963334 + 1.25144i
\(353\) −1.05267 0.607760i −0.0560281 0.0323478i 0.471724 0.881746i \(-0.343632\pi\)
−0.527752 + 0.849398i \(0.676965\pi\)
\(354\) 3.41068 21.5369i 0.181276 1.14467i
\(355\) 0.747992 1.51678i 0.0396993 0.0805022i
\(356\) −5.19466 + 2.65085i −0.275316 + 0.140495i
\(357\) 1.16040 4.32566i 0.0614148 0.228938i
\(358\) −18.1657 2.87142i −0.960085 0.151759i
\(359\) −31.5681 + 13.0759i −1.66610 + 0.690121i −0.998518 0.0544154i \(-0.982670\pi\)
−0.667582 + 0.744537i \(0.732670\pi\)
\(360\) 12.0169 7.80977i 0.633345 0.411611i
\(361\) −0.0612727 0.0253800i −0.00322488 0.00133579i
\(362\) −10.3400 + 16.8851i −0.543461 + 0.887461i
\(363\) 28.4668 + 0.00822989i 1.49412 + 0.000431957i
\(364\) −1.23811 4.37966i −0.0648944 0.229556i
\(365\) −3.64348 + 1.23679i −0.190708 + 0.0647368i
\(366\) 16.9033 16.0412i 0.883549 0.838489i
\(367\) −24.4990 + 6.56448i −1.27884 + 0.342663i −0.833410 0.552656i \(-0.813614\pi\)
−0.445426 + 0.895319i \(0.646948\pi\)
\(368\) 0.490350 + 1.64793i 0.0255613 + 0.0859043i
\(369\) 33.3625 + 4.41188i 1.73678 + 0.229673i
\(370\) −3.42632 + 4.85131i −0.178126 + 0.252207i
\(371\) 2.10398 2.39913i 0.109233 0.124557i
\(372\) 5.09935 + 1.65503i 0.264389 + 0.0858095i
\(373\) −3.48630 0.228504i −0.180514 0.0118315i −0.0251218 0.999684i \(-0.507997\pi\)
−0.155392 + 0.987853i \(0.549664\pi\)
\(374\) 8.36109 28.2585i 0.432342 1.46121i
\(375\) −19.7973 6.72667i −1.02233 0.347364i
\(376\) 31.9490 12.7806i 1.64764 0.659109i
\(377\) −0.577561 1.39435i −0.0297459 0.0718129i
\(378\) 4.56208 1.41377i 0.234648 0.0727164i
\(379\) −5.89357 + 1.17230i −0.302732 + 0.0602172i −0.344119 0.938926i \(-0.611822\pi\)
0.0413868 + 0.999143i \(0.486822\pi\)
\(380\) 12.1508 8.36204i 0.623323 0.428964i
\(381\) −4.38093 5.71275i −0.224442 0.292673i
\(382\) 7.83965 14.9119i 0.401111 0.762958i
\(383\) −1.42704 2.47170i −0.0729182 0.126298i 0.827261 0.561818i \(-0.189898\pi\)
−0.900179 + 0.435520i \(0.856565\pi\)
\(384\) 15.7232 + 11.6954i 0.802371 + 0.596826i
\(385\) −2.87498 + 4.97961i −0.146523 + 0.253785i
\(386\) 6.46458 + 10.2387i 0.329039 + 0.521139i
\(387\) 2.09231 + 10.5506i 0.106358 + 0.536318i
\(388\) 14.3597 + 6.83835i 0.729002 + 0.347165i
\(389\) 1.90734 5.61885i 0.0967061 0.284887i −0.887802 0.460225i \(-0.847769\pi\)
0.984508 + 0.175338i \(0.0561019\pi\)
\(390\) −14.2762 + 2.45339i −0.722906 + 0.124232i
\(391\) 1.04100 1.35666i 0.0526457 0.0686092i
\(392\) 18.4141 + 2.65253i 0.930053 + 0.133973i
\(393\) −4.83120 24.3248i −0.243702 1.22703i
\(394\) −15.8261 + 3.80467i −0.797308 + 0.191677i
\(395\) 2.12537 3.18084i 0.106939 0.160045i
\(396\) 30.2470 8.53178i 1.51997 0.428738i
\(397\) −22.1110 4.39815i −1.10972 0.220737i −0.393990 0.919115i \(-0.628905\pi\)
−0.715729 + 0.698378i \(0.753905\pi\)
\(398\) 12.8765 + 27.9086i 0.645438 + 1.39893i
\(399\) 4.65514 1.57871i 0.233049 0.0790342i
\(400\) −0.235422 8.58578i −0.0117711 0.429289i
\(401\) 3.90846 14.5866i 0.195179 0.728418i −0.797041 0.603925i \(-0.793603\pi\)
0.992220 0.124493i \(-0.0397306\pi\)
\(402\) −1.08830 4.53270i −0.0542794 0.226071i
\(403\) −4.07402 3.57282i −0.202942 0.177975i
\(404\) 35.7059 + 9.04472i 1.77644 + 0.449992i
\(405\) −2.94834 14.9124i −0.146504 0.741003i
\(406\) −0.396077 0.0102494i −0.0196570 0.000508671i
\(407\) −10.3326 + 7.92845i −0.512166 + 0.392998i
\(408\) 0.242725 19.4884i 0.0120167 0.964817i
\(409\) 2.13260 + 1.63640i 0.105450 + 0.0809147i 0.660141 0.751142i \(-0.270497\pi\)
−0.554691 + 0.832057i \(0.687163\pi\)
\(410\) −16.8560 + 20.8286i −0.832459 + 1.02865i
\(411\) −9.70157 + 36.1649i −0.478543 + 1.78388i
\(412\) −20.4427 13.2577i −1.00714 0.653162i
\(413\) 3.21443 + 4.81073i 0.158172 + 0.236720i
\(414\) 1.81594 + 0.167355i 0.0892484 + 0.00822507i
\(415\) 15.2229i 0.747264i
\(416\) −9.92954 17.1374i −0.486836 0.840230i
\(417\) 1.92245 + 2.87895i 0.0941429 + 0.140983i
\(418\) 30.8869 9.60107i 1.51073 0.469604i
\(419\) −5.47518 + 11.1026i −0.267480 + 0.542395i −0.988627 0.150386i \(-0.951948\pi\)
0.721148 + 0.692782i \(0.243615\pi\)
\(420\) −0.934859 + 3.68607i −0.0456164 + 0.179862i
\(421\) 18.9673 + 6.43853i 0.924409 + 0.313795i 0.742752 0.669567i \(-0.233520\pi\)
0.181658 + 0.983362i \(0.441854\pi\)
\(422\) −12.7849 + 4.91218i −0.622359 + 0.239121i
\(423\) 0.0211034 36.4978i 0.00102608 1.77458i
\(424\) 6.29294 12.3789i 0.305612 0.601171i
\(425\) −6.77724 + 5.20036i −0.328745 + 0.252255i
\(426\) 1.14195 2.17058i 0.0553275 0.105165i
\(427\) −0.404406 + 6.17005i −0.0195706 + 0.298590i
\(428\) −16.0618 8.98204i −0.776377 0.434163i
\(429\) −31.4916 4.15520i −1.52043 0.200615i
\(430\) −8.03563 2.96169i −0.387513 0.142825i
\(431\) 14.7255 + 14.7255i 0.709302 + 0.709302i 0.966389 0.257086i \(-0.0827624\pi\)
−0.257086 + 0.966389i \(0.582762\pi\)
\(432\) 17.7178 10.8664i 0.852449 0.522810i
\(433\) 13.9345 13.9345i 0.669652 0.669652i −0.287984 0.957635i \(-0.592985\pi\)
0.957635 + 0.287984i \(0.0929849\pi\)
\(434\) −1.29169 + 0.595959i −0.0620030 + 0.0286070i
\(435\) −0.164958 + 1.25019i −0.00790914 + 0.0599419i
\(436\) −4.04690 + 34.3736i −0.193811 + 1.64620i
\(437\) 1.87285 + 0.122753i 0.0895906 + 0.00587208i
\(438\) −5.32908 + 1.65484i −0.254633 + 0.0790711i
\(439\) −4.65715 6.06932i −0.222274 0.289673i 0.668884 0.743367i \(-0.266772\pi\)
−0.891157 + 0.453694i \(0.850106\pi\)
\(440\) −6.76986 + 24.0894i −0.322740 + 1.14841i
\(441\) 9.87623 17.0833i 0.470297 0.813491i
\(442\) −8.00677 + 17.9984i −0.380843 + 0.856098i
\(443\) 7.17509 21.1371i 0.340899 1.00425i −0.632386 0.774653i \(-0.717924\pi\)
0.973285 0.229602i \(-0.0737423\pi\)
\(444\) −5.15137 + 6.90324i −0.244473 + 0.327613i
\(445\) −4.41718 2.17831i −0.209394 0.103262i
\(446\) 26.5369 + 13.9513i 1.25656 + 0.660614i
\(447\) −27.9487 + 18.6631i −1.32193 + 0.882732i
\(448\) −5.17008 + 0.553068i −0.244263 + 0.0261300i
\(449\) 18.7446 0.884614 0.442307 0.896864i \(-0.354160\pi\)
0.442307 + 0.896864i \(0.354160\pi\)
\(450\) −8.54609 3.15544i −0.402867 0.148749i
\(451\) −48.8543 + 32.6434i −2.30046 + 1.53712i
\(452\) 14.0368 + 2.59262i 0.660236 + 0.121947i
\(453\) −7.35852 1.97399i −0.345733 0.0927461i
\(454\) −38.2360 + 4.03069i −1.79451 + 0.189170i
\(455\) 2.33983 3.04932i 0.109693 0.142954i
\(456\) 17.9329 11.6620i 0.839786 0.546123i
\(457\) −1.89472 2.46925i −0.0886313 0.115507i 0.746933 0.664900i \(-0.231526\pi\)
−0.835564 + 0.549393i \(0.814859\pi\)
\(458\) 1.27954 1.21499i 0.0597890 0.0567726i
\(459\) −19.0917 7.92744i −0.891124 0.370021i
\(460\) −0.868041 + 1.16394i −0.0404726 + 0.0542692i
\(461\) −3.14153 + 3.58223i −0.146316 + 0.166841i −0.820355 0.571854i \(-0.806224\pi\)
0.674040 + 0.738695i \(0.264558\pi\)
\(462\) −4.35693 + 7.11017i −0.202703 + 0.330795i
\(463\) 31.9030 + 8.54840i 1.48266 + 0.397278i 0.907252 0.420588i \(-0.138176\pi\)
0.575409 + 0.817866i \(0.304843\pi\)
\(464\) −1.68123 + 0.382603i −0.0780491 + 0.0177619i
\(465\) 1.45410 + 4.28770i 0.0674321 + 0.198837i
\(466\) −8.38360 3.08994i −0.388363 0.143139i
\(467\) −1.86621 + 9.38205i −0.0863577 + 0.434150i 0.913282 + 0.407327i \(0.133539\pi\)
−0.999640 + 0.0268228i \(0.991461\pi\)
\(468\) −20.7902 + 3.01524i −0.961025 + 0.139380i
\(469\) 1.02844 + 0.687179i 0.0474887 + 0.0317310i
\(470\) 24.7822 + 15.1761i 1.14312 + 0.700019i
\(471\) 30.4842 6.05452i 1.40464 0.278977i
\(472\) 18.7269 + 16.8304i 0.861975 + 0.774684i
\(473\) −14.8989 11.4323i −0.685052 0.525659i
\(474\) 3.20193 4.53081i 0.147070 0.208107i
\(475\) −8.87840 3.01381i −0.407369 0.138283i
\(476\) 3.46274 + 3.84100i 0.158714 + 0.176052i
\(477\) −9.70507 11.0794i −0.444365 0.507292i
\(478\) 2.30359 10.1950i 0.105364 0.466308i
\(479\) 17.9414 + 10.3585i 0.819764 + 0.473291i 0.850335 0.526242i \(-0.176399\pi\)
−0.0305710 + 0.999533i \(0.509733\pi\)
\(480\) 0.0207241 + 16.5488i 0.000945920 + 0.755347i
\(481\) 7.53951 4.35294i 0.343772 0.198477i
\(482\) −12.3074 39.5931i −0.560585 1.80342i
\(483\) −0.383975 + 0.294458i −0.0174715 + 0.0133983i
\(484\) −17.8856 + 27.5786i −0.812982 + 1.25357i
\(485\) 2.62039 + 13.1736i 0.118986 + 0.598182i
\(486\) −3.70867 21.7312i −0.168229 0.985748i
\(487\) 13.2141 5.47348i 0.598790 0.248027i −0.0626372 0.998036i \(-0.519951\pi\)
0.661427 + 0.750009i \(0.269951\pi\)
\(488\) 4.92811 + 26.4532i 0.223085 + 1.19748i
\(489\) −0.621009 + 1.82770i −0.0280830 + 0.0826513i
\(490\) 7.50104 + 13.8050i 0.338862 + 0.623648i
\(491\) −0.265682 + 4.05353i −0.0119901 + 0.182933i 0.987663 + 0.156594i \(0.0500515\pi\)
−0.999653 + 0.0263388i \(0.991615\pi\)
\(492\) −25.2273 + 29.5569i −1.13733 + 1.33253i
\(493\) 1.28932 + 1.13070i 0.0580679 + 0.0509242i
\(494\) −21.3075 + 3.66807i −0.958672 + 0.165034i
\(495\) 21.0466 + 16.1690i 0.945974 + 0.726741i
\(496\) −4.80618 + 3.90179i −0.215804 + 0.175196i
\(497\) 0.168436 + 0.628610i 0.00755537 + 0.0281970i
\(498\) −0.577488 + 22.0696i −0.0258779 + 0.988961i
\(499\) 4.37206 + 12.8797i 0.195720 + 0.576574i 0.999840 0.0178941i \(-0.00569617\pi\)
−0.804120 + 0.594468i \(0.797363\pi\)
\(500\) 18.9511 14.9588i 0.847519 0.668978i
\(501\) 0.00423070 14.6338i 0.000189014 0.653789i
\(502\) −15.2709 + 3.67121i −0.681575 + 0.163854i
\(503\) 1.46141 3.52815i 0.0651609 0.157312i −0.887945 0.459950i \(-0.847867\pi\)
0.953106 + 0.302638i \(0.0978673\pi\)
\(504\) −1.49515 + 5.30845i −0.0665993 + 0.236457i
\(505\) 11.9038 + 28.7384i 0.529713 + 1.27884i
\(506\) −2.57532 + 1.87229i −0.114487 + 0.0832335i
\(507\) −1.23970 0.332562i −0.0550572 0.0147696i
\(508\) 8.28686 0.657331i 0.367670 0.0291643i
\(509\) 1.77813 + 0.876875i 0.0788141 + 0.0388668i 0.481269 0.876573i \(-0.340176\pi\)
−0.402455 + 0.915440i \(0.631843\pi\)
\(510\) 13.3156 9.67477i 0.589627 0.428406i
\(511\) 0.740313 1.28226i 0.0327495 0.0567238i
\(512\) −21.2070 + 7.89060i −0.937227 + 0.348719i
\(513\) −4.40710 22.2569i −0.194578 0.982665i
\(514\) −0.803184 1.27210i −0.0354269 0.0561100i
\(515\) −1.34578 20.5326i −0.0593020 0.904774i
\(516\) −11.5374 4.59856i −0.507904 0.202440i
\(517\) 42.0159 + 47.9100i 1.84786 + 2.10708i
\(518\) −0.239600 2.27290i −0.0105274 0.0998654i
\(519\) 1.72554 26.2105i 0.0757426 1.15051i
\(520\) 6.58844 15.3742i 0.288922 0.674203i
\(521\) 6.67275 16.1095i 0.292339 0.705768i −0.707661 0.706552i \(-0.750250\pi\)
1.00000 0.000784104i \(0.000249588\pi\)
\(522\) −0.286576 + 1.80621i −0.0125431 + 0.0790558i
\(523\) 24.1531 36.1476i 1.05614 1.58062i 0.269714 0.962941i \(-0.413071\pi\)
0.786426 0.617684i \(-0.211929\pi\)
\(524\) 26.6044 + 10.5951i 1.16222 + 0.462848i
\(525\) 2.23352 0.924397i 0.0974787 0.0403440i
\(526\) 5.91161 + 0.541363i 0.257758 + 0.0236045i
\(527\) 5.94729 + 1.59357i 0.259068 + 0.0694170i
\(528\) −10.7285 + 34.6669i −0.466898 + 1.50868i
\(529\) 22.0378 5.90502i 0.958167 0.256740i
\(530\) 11.5573 1.98957i 0.502016 0.0864215i
\(531\) 23.9586 11.7979i 1.03972 0.511984i
\(532\) −1.39377 + 5.50221i −0.0604277 + 0.238551i
\(533\) 35.2257 17.3714i 1.52579 0.752438i
\(534\) −6.32121 3.32559i −0.273545 0.143912i
\(535\) −2.02853 15.4082i −0.0877008 0.666154i
\(536\) 5.07558 + 1.79208i 0.219232 + 0.0774059i
\(537\) −9.95650 20.2045i −0.429655 0.871889i
\(538\) 11.2624 + 1.78023i 0.485558 + 0.0767513i
\(539\) 6.72134 + 33.7905i 0.289509 + 1.45546i
\(540\) 16.3015 + 6.50837i 0.701504 + 0.280075i
\(541\) −15.0067 22.4592i −0.645190 0.965596i −0.999535 0.0304808i \(-0.990296\pi\)
0.354345 0.935115i \(-0.384704\pi\)
\(542\) −28.8803 + 31.2619i −1.24052 + 1.34281i
\(543\) −24.1980 + 1.57899i −1.03843 + 0.0677610i
\(544\) 18.7314 + 12.4742i 0.803104 + 0.534828i
\(545\) −25.3132 + 14.6146i −1.08430 + 0.626019i
\(546\) 3.50786 4.33202i 0.150123 0.185393i
\(547\) 14.4044 0.944116i 0.615889 0.0403675i 0.245734 0.969337i \(-0.420971\pi\)
0.370155 + 0.928970i \(0.379304\pi\)
\(548\) −28.9504 32.1129i −1.23670 1.37179i
\(549\) 27.9889 + 5.58417i 1.19454 + 0.238327i
\(550\) 14.8475 5.70467i 0.633100 0.243248i
\(551\) −0.245676 + 1.86609i −0.0104661 + 0.0794982i
\(552\) −1.30260 + 1.65451i −0.0554425 + 0.0704205i
\(553\) 0.192150 + 1.45952i 0.00817103 + 0.0620651i
\(554\) −19.7257 + 10.7180i −0.838063 + 0.455366i
\(555\) −7.27408 0.00210297i −0.308768 8.92663e-5i
\(556\) −3.99699 + 0.0547883i −0.169510 + 0.00232354i
\(557\) −3.22306 + 16.2034i −0.136565 + 0.686560i 0.850466 + 0.526030i \(0.176320\pi\)
−0.987031 + 0.160529i \(0.948680\pi\)
\(558\) 1.94543 + 6.27129i 0.0823567 + 0.265485i
\(559\) 8.87655 + 8.87655i 0.375438 + 0.375438i
\(560\) −2.98463 3.22078i −0.126124 0.136103i
\(561\) 34.1806 11.5917i 1.44310 0.489403i
\(562\) 3.73112 40.7433i 0.157388 1.71865i
\(563\) 2.43168 + 7.16350i 0.102483 + 0.301905i 0.986062 0.166376i \(-0.0532066\pi\)
−0.883579 + 0.468282i \(0.844873\pi\)
\(564\) 35.3525 + 22.9417i 1.48861 + 0.966020i
\(565\) 5.33164 + 10.8115i 0.224304 + 0.454843i
\(566\) 23.0883 21.9235i 0.970474 0.921514i
\(567\) 4.63662 + 3.56633i 0.194720 + 0.149772i
\(568\) 1.38610 + 2.46969i 0.0581593 + 0.103626i
\(569\) 25.2860 + 3.32897i 1.06004 + 0.139558i 0.640331 0.768099i \(-0.278797\pi\)
0.419714 + 0.907657i \(0.362131\pi\)
\(570\) 16.9487 + 6.25232i 0.709901 + 0.261881i
\(571\) −21.2593 24.2416i −0.889675 1.01448i −0.999789 0.0205612i \(-0.993455\pi\)
0.110113 0.993919i \(-0.464879\pi\)
\(572\) 23.8036 27.9052i 0.995278 1.16678i
\(573\) 20.4576 2.68728i 0.854630 0.112263i
\(574\) −0.407979 10.3028i −0.0170287 0.430030i
\(575\) 0.922962 0.0384902
\(576\) −0.597741 + 23.9926i −0.0249059 + 0.999690i
\(577\) −11.3868 −0.474038 −0.237019 0.971505i \(-0.576170\pi\)
−0.237019 + 0.971505i \(0.576170\pi\)
\(578\) 0.0656217 + 1.65716i 0.00272950 + 0.0689288i
\(579\) −5.67922 + 13.6997i −0.236021 + 0.569338i
\(580\) −1.10781 0.944982i −0.0459995 0.0392382i
\(581\) −3.86241 4.40423i −0.160240 0.182718i
\(582\) 3.29919 + 19.1979i 0.136756 + 0.795780i
\(583\) 25.4961 + 3.35663i 1.05594 + 0.139017i
\(584\) 1.74325 6.20305i 0.0721362 0.256684i
\(585\) −12.5376 12.5521i −0.518365 0.518964i
\(586\) −31.9733 + 30.3603i −1.32081 + 1.25417i
\(587\) −14.8363 30.0849i −0.612358 1.24174i −0.953405 0.301692i \(-0.902448\pi\)
0.341048 0.940046i \(-0.389218\pi\)
\(588\) 10.3510 + 20.2985i 0.426867 + 0.837097i
\(589\) 2.17222 + 6.39916i 0.0895049 + 0.263673i
\(590\) −1.93911 + 21.1748i −0.0798318 + 0.871752i
\(591\) −14.9843 13.1485i −0.616370 0.540858i
\(592\) −3.45397 9.32695i −0.141957 0.383335i
\(593\) −24.8452 24.8452i −1.02027 1.02027i −0.999790 0.0204782i \(-0.993481\pi\)
−0.0204782 0.999790i \(-0.506519\pi\)
\(594\) 29.8991 + 24.2395i 1.22677 + 0.994558i
\(595\) −0.852019 + 4.28339i −0.0349294 + 0.175602i
\(596\) −0.531882 38.8026i −0.0217867 1.58941i
\(597\) −18.8312 + 32.5948i −0.770709 + 1.33402i
\(598\) 1.87011 1.01614i 0.0764747 0.0415529i
\(599\) 5.36682 + 40.7651i 0.219282 + 1.66562i 0.647595 + 0.761985i \(0.275775\pi\)
−0.428312 + 0.903631i \(0.640892\pi\)
\(600\) 8.42466 6.29934i 0.343935 0.257170i
\(601\) 0.444351 3.37518i 0.0181255 0.137676i −0.979989 0.199049i \(-0.936215\pi\)
0.998115 + 0.0613729i \(0.0195479\pi\)
\(602\) 3.07628 1.18196i 0.125380 0.0481732i
\(603\) 3.76680 4.29021i 0.153396 0.174711i
\(604\) 6.53404 5.89057i 0.265866 0.239684i
\(605\) −27.6999 + 1.81555i −1.12616 + 0.0738125i
\(606\) 16.1675 + 42.1153i 0.656758 + 1.71082i
\(607\) −33.0510 + 19.0820i −1.34150 + 0.774514i −0.987027 0.160553i \(-0.948672\pi\)
−0.354470 + 0.935067i \(0.615339\pi\)
\(608\) 0.0380737 + 24.7006i 0.00154409 + 1.00174i
\(609\) −0.269477 0.403553i −0.0109197 0.0163528i
\(610\) −15.4200 + 16.6916i −0.624339 + 0.675824i
\(611\) −23.6653 35.4176i −0.957394 1.43284i
\(612\) 19.6715 13.5209i 0.795172 0.546552i
\(613\) −2.82468 14.2006i −0.114088 0.573558i −0.994966 0.100215i \(-0.968047\pi\)
0.880878 0.473343i \(-0.156953\pi\)
\(614\) 28.2480 + 4.46512i 1.14000 + 0.180198i
\(615\) −32.7458 2.15578i −1.32044 0.0869294i
\(616\) −4.15340 8.68710i −0.167345 0.350013i
\(617\) −5.60001 42.5363i −0.225448 1.71245i −0.612569 0.790417i \(-0.709864\pi\)
0.387121 0.922029i \(-0.373469\pi\)
\(618\) −1.17214 29.8183i −0.0471503 1.19947i
\(619\) 12.8048 6.31461i 0.514667 0.253806i −0.166359 0.986065i \(-0.553201\pi\)
0.681026 + 0.732260i \(0.261534\pi\)
\(620\) −5.06791 1.28376i −0.203532 0.0515570i
\(621\) 1.11506 + 1.93522i 0.0447460 + 0.0776577i
\(622\) 24.3839 4.19767i 0.977707 0.168311i
\(623\) 1.83065 0.490521i 0.0733434 0.0196523i
\(624\) 10.1349 22.0389i 0.405719 0.882263i
\(625\) 9.32412 + 2.49839i 0.372965 + 0.0999357i
\(626\) −12.0339 1.10202i −0.480970 0.0440454i
\(627\) 31.4209 + 24.1246i 1.25483 + 0.963443i
\(628\) −13.2779 + 33.3410i −0.529845 + 1.33045i
\(629\) −5.49577 + 8.22500i −0.219131 + 0.327952i
\(630\) −4.34854 + 1.66790i −0.173250 + 0.0664507i
\(631\) −13.0375 + 31.4753i −0.519014 + 1.25301i 0.419496 + 0.907757i \(0.362207\pi\)
−0.938510 + 0.345253i \(0.887793\pi\)
\(632\) 2.37941 + 5.94805i 0.0946478 + 0.236601i
\(633\) −13.9446 9.32329i −0.554246 0.370567i
\(634\) −1.56125 14.8104i −0.0620052 0.588196i
\(635\) 4.62878 + 5.27811i 0.183688 + 0.209456i
\(636\) 16.8307 2.44597i 0.667382 0.0969889i
\(637\) −1.50623 22.9806i −0.0596789 0.910524i
\(638\) −1.70467 2.69990i −0.0674886 0.106890i
\(639\) 2.97839 0.390361i 0.117823 0.0154424i
\(640\) −16.0485 10.3729i −0.634374 0.410024i
\(641\) 5.36144 9.28629i 0.211764 0.366786i −0.740502 0.672054i \(-0.765412\pi\)
0.952267 + 0.305267i \(0.0987458\pi\)
\(642\) −2.35635 22.4151i −0.0929979 0.884652i
\(643\) −20.3155 10.0185i −0.801164 0.395090i −0.00486076 0.999988i \(-0.501547\pi\)
−0.796303 + 0.604898i \(0.793214\pi\)
\(644\) −0.0441816 0.556990i −0.00174100 0.0219485i
\(645\) −2.71177 10.1322i −0.106776 0.398954i
\(646\) 19.8707 14.4462i 0.781800 0.568379i
\(647\) −7.39241 17.8468i −0.290625 0.701632i 0.709369 0.704837i \(-0.248980\pi\)
−0.999995 + 0.00320496i \(0.998980\pi\)
\(648\) 23.3863 + 10.0540i 0.918700 + 0.394957i
\(649\) −17.8435 + 43.0781i −0.700419 + 1.69096i
\(650\) −10.3377 + 2.48523i −0.405478 + 0.0974789i
\(651\) −1.50858 0.871562i −0.0591260 0.0341592i
\(652\) −1.38100 1.74957i −0.0540842 0.0685186i
\(653\) 7.93215 + 23.3674i 0.310409 + 0.914436i 0.984438 + 0.175731i \(0.0562288\pi\)
−0.674029 + 0.738705i \(0.735438\pi\)
\(654\) −37.2524 + 20.2273i −1.45668 + 0.790950i
\(655\) 6.25919 + 23.3596i 0.244567 + 0.912736i
\(656\) −12.7970 43.0071i −0.499638 1.67914i
\(657\) −5.41953 4.16353i −0.211436 0.162435i
\(658\) −11.0204 + 1.89715i −0.429620 + 0.0739586i
\(659\) 23.1871 + 20.3346i 0.903242 + 0.792122i 0.978757 0.205023i \(-0.0657268\pi\)
−0.0755152 + 0.997145i \(0.524060\pi\)
\(660\) −28.8851 + 10.2394i −1.12435 + 0.398567i
\(661\) 3.03420 46.2929i 0.118017 1.80059i −0.371335 0.928499i \(-0.621100\pi\)
0.489352 0.872086i \(-0.337233\pi\)
\(662\) −2.56301 4.71702i −0.0996144 0.183332i
\(663\) −23.6641 + 4.69996i −0.919036 + 0.182532i
\(664\) −21.0223 14.4196i −0.815825 0.559591i
\(665\) −4.42852 + 1.83435i −0.171731 + 0.0711332i
\(666\) −10.5456 0.278994i −0.408633 0.0108108i
\(667\) −0.0361466 0.181721i −0.00139960 0.00703628i
\(668\) 14.1772 + 9.19437i 0.548533 + 0.355741i
\(669\) 4.78224 + 36.4061i 0.184892 + 1.40754i
\(670\) 1.34932 + 4.34080i 0.0521288 + 0.167700i
\(671\) −43.1546 + 24.9153i −1.66596 + 0.961844i
\(672\) −4.20481 4.78257i −0.162204 0.184492i
\(673\) 27.7598 + 16.0271i 1.07006 + 0.617800i 0.928198 0.372086i \(-0.121357\pi\)
0.141863 + 0.989886i \(0.454691\pi\)
\(674\) 7.44452 32.9472i 0.286752 1.26908i
\(675\) −2.87841 10.7798i −0.110790 0.414914i
\(676\) 1.10080 0.992396i 0.0423385 0.0381691i
\(677\) −40.0294 13.5881i −1.53845 0.522234i −0.581767 0.813356i \(-0.697638\pi\)
−0.956686 + 0.291121i \(0.905972\pi\)
\(678\) 7.31944 + 15.8763i 0.281101 + 0.609725i
\(679\) −4.10057 3.14648i −0.157365 0.120751i
\(680\) 1.01223 + 18.9786i 0.0388171 + 0.727794i
\(681\) −31.0376 35.4123i −1.18936 1.35700i
\(682\) −9.77663 5.98698i −0.374367 0.229253i
\(683\) −25.8813 17.2933i −0.990321 0.661711i −0.0488500 0.998806i \(-0.515556\pi\)
−0.941471 + 0.337095i \(0.890556\pi\)
\(684\) 24.3343 + 9.70730i 0.930443 + 0.371168i
\(685\) 7.12335 35.8115i 0.272169 1.36829i
\(686\) −11.7100 4.31594i −0.447089 0.164783i
\(687\) 2.11940 + 0.422212i 0.0808602 + 0.0161084i
\(688\) 11.7016 8.29153i 0.446119 0.316111i
\(689\) −16.6043 4.44912i −0.632574 0.169498i
\(690\) −1.77770 0.0465167i −0.0676760 0.00177086i
\(691\) 18.4824 21.0752i 0.703104 0.801737i −0.284504 0.958675i \(-0.591829\pi\)
0.987608 + 0.156938i \(0.0501624\pi\)
\(692\) 24.3138 + 18.1327i 0.924273 + 0.689300i
\(693\) −10.1915 + 0.662071i −0.387145 + 0.0251500i
\(694\) 34.5629 32.8192i 1.31199 1.24580i
\(695\) −2.05505 2.67820i −0.0779525 0.101590i
\(696\) −1.57021 1.41202i −0.0595188 0.0535225i
\(697\) −27.1677 + 35.4056i −1.02905 + 1.34108i
\(698\) 39.6657 4.18140i 1.50137 0.158268i
\(699\) −2.82919 10.5709i −0.107010 0.399829i
\(700\) −0.506964 + 2.74478i −0.0191614 + 0.103743i
\(701\) 5.51509 3.68507i 0.208302 0.139183i −0.447043 0.894512i \(-0.647523\pi\)
0.655346 + 0.755329i \(0.272523\pi\)
\(702\) −17.7003 18.6731i −0.668053 0.704770i
\(703\) −10.8572 −0.409489
\(704\) −26.8539 32.1671i −1.01210 1.21234i
\(705\) 2.31748 + 35.5153i 0.0872814 + 1.33758i
\(706\) 1.52155 + 0.799925i 0.0572641 + 0.0301056i
\(707\) −10.7356 5.29419i −0.403752 0.199109i
\(708\) −3.61451 + 30.6248i −0.135842 + 1.15095i
\(709\) 0.346506 1.02077i 0.0130133 0.0383359i −0.940229 0.340542i \(-0.889390\pi\)
0.953243 + 0.302206i \(0.0977229\pi\)
\(710\) −0.972117 + 2.18522i −0.0364829 + 0.0820100i
\(711\) 6.79492 + 0.00392889i 0.254829 + 0.000147345i
\(712\) 7.19227 4.03661i 0.269542 0.151278i
\(713\) −0.404967 0.527763i −0.0151661 0.0197649i
\(714\) −1.39771 + 6.17755i −0.0523081 + 0.231189i
\(715\) 30.9088 + 2.02587i 1.15592 + 0.0757633i
\(716\) 25.8307 + 3.04111i 0.965338 + 0.113652i
\(717\) 11.8280 4.89532i 0.441726 0.182819i
\(718\) 43.8774 20.2441i 1.63749 0.755505i
\(719\) −33.4103 + 33.4103i −1.24599 + 1.24599i −0.288520 + 0.957474i \(0.593163\pi\)
−0.957474 + 0.288520i \(0.906837\pi\)
\(720\) −16.5441 + 11.7085i −0.616562 + 0.436349i
\(721\) 5.59895 + 5.59895i 0.208516 + 0.208516i
\(722\) 0.0880050 + 0.0324360i 0.00327521 + 0.00120714i
\(723\) 30.9247 40.2777i 1.15010 1.49794i
\(724\) 13.6667 24.4390i 0.507920 0.908270i
\(725\) −0.0605359 + 0.923599i −0.00224825 + 0.0343016i
\(726\) −40.2270 + 1.58130i −1.49297 + 0.0586874i
\(727\) 5.42668 4.16404i 0.201264 0.154436i −0.503212 0.864163i \(-0.667849\pi\)
0.704476 + 0.709727i \(0.251182\pi\)
\(728\) 1.99465 + 6.11964i 0.0739266 + 0.226809i
\(729\) 19.1250 19.0587i 0.708332 0.705879i
\(730\) 5.07941 1.95160i 0.187998 0.0722320i
\(731\) −13.5068 4.58496i −0.499569 0.169581i
\(732\) −22.9885 + 23.6138i −0.849680 + 0.872792i
\(733\) 21.9172 44.4437i 0.809531 1.64157i 0.0432478 0.999064i \(-0.486230\pi\)
0.766283 0.642503i \(-0.222104\pi\)
\(734\) 34.2523 10.6472i 1.26428 0.392995i
\(735\) −8.51565 + 17.2555i −0.314105 + 0.636477i
\(736\) −0.785131 2.30126i −0.0289403 0.0848256i
\(737\) 9.96798i 0.367175i
\(738\) −47.3916 4.36758i −1.74451 0.160773i
\(739\) −13.2663 19.8544i −0.488008 0.730355i 0.502981 0.864297i \(-0.332236\pi\)
−0.990989 + 0.133942i \(0.957236\pi\)
\(740\) 4.57029 7.04714i 0.168007 0.259058i
\(741\) −18.7189 18.7297i −0.687656 0.688053i
\(742\) −2.83890 + 3.50796i −0.104219 + 0.128781i
\(743\) 12.2471 + 9.39756i 0.449304 + 0.344763i 0.808497 0.588500i \(-0.200281\pi\)
−0.359193 + 0.933263i \(0.616948\pi\)
\(744\) −7.29853 2.05339i −0.267577 0.0752810i
\(745\) 25.9998 19.9503i 0.952558 0.730923i
\(746\) 4.93930 + 0.127816i 0.180841 + 0.00467969i
\(747\) −22.4906 + 15.0090i −0.822890 + 0.549149i
\(748\) −10.2338 + 40.4002i −0.374186 + 1.47718i
\(749\) 4.49629 + 3.94314i 0.164291 + 0.144079i
\(750\) 28.3521 + 8.39770i 1.03527 + 0.306640i
\(751\) −7.95626 + 29.6932i −0.290328 + 1.08352i 0.654529 + 0.756037i \(0.272867\pi\)
−0.944857 + 0.327482i \(0.893800\pi\)
\(752\) −44.4321 + 19.8481i −1.62027 + 0.723787i
\(753\) −14.4586 12.6873i −0.526902 0.462350i
\(754\) 0.894179 + 1.93805i 0.0325641 + 0.0705797i
\(755\) 7.28660 + 1.44940i 0.265187 + 0.0527489i
\(756\) −6.36759 + 2.25309i −0.231587 + 0.0819440i
\(757\) −4.33264 + 6.48425i −0.157472 + 0.235674i −0.901813 0.432126i \(-0.857764\pi\)
0.744341 + 0.667800i \(0.232764\pi\)
\(758\) 8.26264 1.98638i 0.300113 0.0721485i
\(759\) −3.69225 1.25454i −0.134020 0.0455370i
\(760\) −16.7024 + 12.4964i −0.605861 + 0.453291i
\(761\) −23.1845 + 30.2147i −0.840439 + 1.09528i 0.153801 + 0.988102i \(0.450848\pi\)
−0.994240 + 0.107179i \(0.965818\pi\)
\(762\) 6.51038 + 7.82758i 0.235846 + 0.283563i
\(763\) 3.61545 10.6508i 0.130888 0.385583i
\(764\) −10.2438 + 21.5108i −0.370609 + 0.778232i
\(765\) 19.0849 + 6.49074i 0.690014 + 0.234673i
\(766\) 2.15487 + 3.41292i 0.0778585 + 0.123314i
\(767\) 15.5841 26.9925i 0.562710 0.974643i
\(768\) −22.8730 15.6469i −0.825357 0.564611i
\(769\) −12.1707 21.0803i −0.438887 0.760175i 0.558717 0.829359i \(-0.311294\pi\)
−0.997604 + 0.0691836i \(0.977961\pi\)
\(770\) 3.78401 7.19760i 0.136366 0.259383i
\(771\) 0.705608 1.70210i 0.0254119 0.0612995i
\(772\) −9.70808 14.1067i −0.349401 0.507711i