Properties

Label 576.2.bm.a.205.10
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 205.10
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.35510 + 0.404590i) q^{2} +(0.578280 + 1.63266i) q^{3} +(1.67261 - 1.09652i) q^{4} +(-1.08161 - 1.23334i) q^{5} +(-1.44419 - 1.97846i) q^{6} +(-2.69081 - 0.354252i) q^{7} +(-1.82292 + 2.16263i) q^{8} +(-2.33118 + 1.88827i) q^{9} +O(q^{10})\) \(q+(-1.35510 + 0.404590i) q^{2} +(0.578280 + 1.63266i) q^{3} +(1.67261 - 1.09652i) q^{4} +(-1.08161 - 1.23334i) q^{5} +(-1.44419 - 1.97846i) q^{6} +(-2.69081 - 0.354252i) q^{7} +(-1.82292 + 2.16263i) q^{8} +(-2.33118 + 1.88827i) q^{9} +(1.96470 + 1.23370i) q^{10} +(1.67332 + 3.39317i) q^{11} +(2.75749 + 2.09672i) q^{12} +(-2.14523 - 6.31963i) q^{13} +(3.78966 - 0.608629i) q^{14} +(1.38816 - 2.47913i) q^{15} +(1.59527 - 3.66812i) q^{16} +(1.12973 + 1.12973i) q^{17} +(2.39502 - 3.50198i) q^{18} +(0.200277 - 1.00686i) q^{19} +(-3.16151 - 0.876891i) q^{20} +(-0.977668 - 4.59805i) q^{21} +(-3.64037 - 3.92108i) q^{22} +(-0.716717 - 5.44401i) q^{23} +(-4.58500 - 1.72561i) q^{24} +(0.301382 - 2.28922i) q^{25} +(5.46387 + 7.69582i) q^{26} +(-4.43099 - 2.71409i) q^{27} +(-4.88914 + 2.35801i) q^{28} +(-3.39404 + 0.222457i) q^{29} +(-0.878070 + 3.92111i) q^{30} +(-3.29701 + 1.90353i) q^{31} +(-0.677669 + 5.61612i) q^{32} +(-4.57225 + 4.69418i) q^{33} +(-1.98798 - 1.07383i) q^{34} +(2.47350 + 3.70186i) q^{35} +(-1.82863 + 5.71455i) q^{36} +(-1.66443 - 8.36765i) q^{37} +(0.135970 + 1.44543i) q^{38} +(9.07729 - 7.15695i) q^{39} +(4.63896 - 0.0908383i) q^{40} +(-0.893620 - 6.78772i) q^{41} +(3.18517 + 5.83528i) q^{42} +(4.18302 - 2.06284i) q^{43} +(6.51951 + 3.84061i) q^{44} +(4.85033 + 0.832770i) q^{45} +(3.17382 + 7.08722i) q^{46} +(2.15714 - 0.578003i) q^{47} +(6.91132 + 0.483338i) q^{48} +(0.353500 + 0.0947200i) q^{49} +(0.517794 + 3.22407i) q^{50} +(-1.19117 + 2.49777i) q^{51} +(-10.5178 - 8.21801i) q^{52} +(-6.62294 + 9.91192i) q^{53} +(7.10255 + 1.88514i) q^{54} +(2.37505 - 5.73388i) q^{55} +(5.67126 - 5.17345i) q^{56} +(1.75968 - 0.255262i) q^{57} +(4.50928 - 1.67465i) q^{58} +(-6.59218 - 7.51694i) q^{59} +(-0.396569 - 5.66877i) q^{60} +(0.342497 + 5.22549i) q^{61} +(3.69764 - 3.91342i) q^{62} +(6.94171 - 4.25516i) q^{63} +(-1.35392 - 7.88460i) q^{64} +(-5.47397 + 9.48119i) q^{65} +(4.29666 - 8.21099i) q^{66} +(5.75939 + 2.84021i) q^{67} +(3.12838 + 0.650826i) q^{68} +(8.47378 - 4.31832i) q^{69} +(-4.84959 - 4.01565i) q^{70} +(-2.44944 - 5.91347i) q^{71} +(0.165934 - 8.48366i) q^{72} +(4.54405 - 10.9703i) q^{73} +(5.64095 + 10.6656i) q^{74} +(3.91182 - 0.831756i) q^{75} +(-0.769062 - 1.90370i) q^{76} +(-3.30057 - 9.72316i) q^{77} +(-9.40504 + 13.3710i) q^{78} +(3.14118 + 11.7230i) q^{79} +(-6.24952 + 1.99997i) q^{80} +(1.86885 - 8.80383i) q^{81} +(3.95720 + 8.83652i) q^{82} +(-1.15632 - 1.01407i) q^{83} +(-6.67713 - 6.61872i) q^{84} +(0.171415 - 2.61528i) q^{85} +(-4.83382 + 4.48777i) q^{86} +(-2.32590 - 5.41269i) q^{87} +(-10.3885 - 2.56670i) q^{88} +(-12.7922 + 5.29872i) q^{89} +(-6.90963 + 0.833907i) q^{90} +(3.53366 + 17.7649i) q^{91} +(-7.16828 - 8.31982i) q^{92} +(-5.01441 - 4.28213i) q^{93} +(-2.68929 + 1.65601i) q^{94} +(-1.45843 + 0.842024i) q^{95} +(-9.56111 + 2.14128i) q^{96} +(-6.98956 - 4.03542i) q^{97} +(-0.517352 + 0.0146672i) q^{98} +(-10.3081 - 4.75040i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.35510 + 0.404590i −0.958203 + 0.286089i
\(3\) 0.578280 + 1.63266i 0.333870 + 0.942619i
\(4\) 1.67261 1.09652i 0.836307 0.548262i
\(5\) −1.08161 1.23334i −0.483712 0.551568i 0.457577 0.889170i \(-0.348717\pi\)
−0.941289 + 0.337602i \(0.890384\pi\)
\(6\) −1.44419 1.97846i −0.589588 0.807704i
\(7\) −2.69081 0.354252i −1.01703 0.133895i −0.396466 0.918049i \(-0.629764\pi\)
−0.620566 + 0.784155i \(0.713097\pi\)
\(8\) −1.82292 + 2.16263i −0.644500 + 0.764604i
\(9\) −2.33118 + 1.88827i −0.777062 + 0.629425i
\(10\) 1.96470 + 1.23370i 0.621292 + 0.390130i
\(11\) 1.67332 + 3.39317i 0.504526 + 1.02308i 0.988951 + 0.148245i \(0.0473625\pi\)
−0.484424 + 0.874833i \(0.660971\pi\)
\(12\) 2.75749 + 2.09672i 0.796020 + 0.605270i
\(13\) −2.14523 6.31963i −0.594979 1.75275i −0.656158 0.754623i \(-0.727820\pi\)
0.0611796 0.998127i \(-0.480514\pi\)
\(14\) 3.78966 0.608629i 1.01283 0.162663i
\(15\) 1.38816 2.47913i 0.358421 0.640108i
\(16\) 1.59527 3.66812i 0.398817 0.917030i
\(17\) 1.12973 + 1.12973i 0.274000 + 0.274000i 0.830708 0.556708i \(-0.187936\pi\)
−0.556708 + 0.830708i \(0.687936\pi\)
\(18\) 2.39502 3.50198i 0.564512 0.825425i
\(19\) 0.200277 1.00686i 0.0459468 0.230990i −0.950988 0.309228i \(-0.899929\pi\)
0.996935 + 0.0782380i \(0.0249294\pi\)
\(20\) −3.16151 0.876891i −0.706935 0.196079i
\(21\) −0.977668 4.59805i −0.213345 1.00338i
\(22\) −3.64037 3.92108i −0.776130 0.835978i
\(23\) −0.716717 5.44401i −0.149446 1.13515i −0.887631 0.460556i \(-0.847650\pi\)
0.738185 0.674599i \(-0.235683\pi\)
\(24\) −4.58500 1.72561i −0.935910 0.352240i
\(25\) 0.301382 2.28922i 0.0602764 0.457845i
\(26\) 5.46387 + 7.69582i 1.07155 + 1.50927i
\(27\) −4.43099 2.71409i −0.852745 0.522327i
\(28\) −4.88914 + 2.35801i −0.923960 + 0.445623i
\(29\) −3.39404 + 0.222457i −0.630258 + 0.0413093i −0.377185 0.926138i \(-0.623108\pi\)
−0.253073 + 0.967447i \(0.581441\pi\)
\(30\) −0.878070 + 3.92111i −0.160313 + 0.715894i
\(31\) −3.29701 + 1.90353i −0.592160 + 0.341884i −0.765951 0.642899i \(-0.777732\pi\)
0.173791 + 0.984783i \(0.444398\pi\)
\(32\) −0.677669 + 5.61612i −0.119796 + 0.992799i
\(33\) −4.57225 + 4.69418i −0.795927 + 0.817151i
\(34\) −1.98798 1.07383i −0.340936 0.184160i
\(35\) 2.47350 + 3.70186i 0.418098 + 0.625729i
\(36\) −1.82863 + 5.71455i −0.304772 + 0.952425i
\(37\) −1.66443 8.36765i −0.273630 1.37563i −0.835992 0.548742i \(-0.815107\pi\)
0.562361 0.826892i \(-0.309893\pi\)
\(38\) 0.135970 + 1.44543i 0.0220573 + 0.234480i
\(39\) 9.07729 7.15695i 1.45353 1.14603i
\(40\) 4.63896 0.0908383i 0.733484 0.0143628i
\(41\) −0.893620 6.78772i −0.139560 1.06006i −0.907652 0.419724i \(-0.862127\pi\)
0.768092 0.640340i \(-0.221206\pi\)
\(42\) 3.18517 + 5.83528i 0.491482 + 0.900404i
\(43\) 4.18302 2.06284i 0.637905 0.314580i −0.0944230 0.995532i \(-0.530101\pi\)
0.732328 + 0.680952i \(0.238434\pi\)
\(44\) 6.51951 + 3.84061i 0.982854 + 0.578994i
\(45\) 4.85033 + 0.832770i 0.723044 + 0.124142i
\(46\) 3.17382 + 7.08722i 0.467954 + 1.04495i
\(47\) 2.15714 0.578003i 0.314651 0.0843104i −0.0980376 0.995183i \(-0.531257\pi\)
0.412688 + 0.910872i \(0.364590\pi\)
\(48\) 6.91132 + 0.483338i 0.997564 + 0.0697639i
\(49\) 0.353500 + 0.0947200i 0.0505000 + 0.0135314i
\(50\) 0.517794 + 3.22407i 0.0732272 + 0.455953i
\(51\) −1.19117 + 2.49777i −0.166797 + 0.349758i
\(52\) −10.5178 8.21801i −1.45855 1.13963i
\(53\) −6.62294 + 9.91192i −0.909730 + 1.36151i 0.0225404 + 0.999746i \(0.492825\pi\)
−0.932271 + 0.361762i \(0.882175\pi\)
\(54\) 7.10255 + 1.88514i 0.966535 + 0.256535i
\(55\) 2.37505 5.73388i 0.320252 0.773156i
\(56\) 5.67126 5.17345i 0.757854 0.691332i
\(57\) 1.75968 0.255262i 0.233076 0.0338103i
\(58\) 4.50928 1.67465i 0.592097 0.219892i
\(59\) −6.59218 7.51694i −0.858229 0.978623i 0.141707 0.989909i \(-0.454741\pi\)
−0.999936 + 0.0112859i \(0.996408\pi\)
\(60\) −0.396569 5.66877i −0.0511968 0.731836i
\(61\) 0.342497 + 5.22549i 0.0438522 + 0.669056i 0.962040 + 0.272910i \(0.0879860\pi\)
−0.918187 + 0.396146i \(0.870347\pi\)
\(62\) 3.69764 3.91342i 0.469600 0.497004i
\(63\) 6.94171 4.25516i 0.874573 0.536100i
\(64\) −1.35392 7.88460i −0.169239 0.985575i
\(65\) −5.47397 + 9.48119i −0.678962 + 1.17600i
\(66\) 4.29666 8.21099i 0.528882 1.01070i
\(67\) 5.75939 + 2.84021i 0.703621 + 0.346987i 0.758651 0.651497i \(-0.225859\pi\)
−0.0550300 + 0.998485i \(0.517525\pi\)
\(68\) 3.12838 + 0.650826i 0.379372 + 0.0789243i
\(69\) 8.47378 4.31832i 1.02012 0.519865i
\(70\) −4.84959 4.01565i −0.579637 0.479962i
\(71\) −2.44944 5.91347i −0.290695 0.701799i 0.709300 0.704906i \(-0.249011\pi\)
−0.999995 + 0.00310695i \(0.999011\pi\)
\(72\) 0.165934 8.48366i 0.0195555 0.999809i
\(73\) 4.54405 10.9703i 0.531841 1.28398i −0.398462 0.917185i \(-0.630456\pi\)
0.930303 0.366792i \(-0.119544\pi\)
\(74\) 5.64095 + 10.6656i 0.655747 + 1.23985i
\(75\) 3.91182 0.831756i 0.451698 0.0960430i
\(76\) −0.769062 1.90370i −0.0882175 0.218369i
\(77\) −3.30057 9.72316i −0.376135 1.10806i
\(78\) −9.40504 + 13.3710i −1.06491 + 1.51397i
\(79\) 3.14118 + 11.7230i 0.353410 + 1.31895i 0.882473 + 0.470363i \(0.155877\pi\)
−0.529063 + 0.848583i \(0.677456\pi\)
\(80\) −6.24952 + 1.99997i −0.698717 + 0.223604i
\(81\) 1.86885 8.80383i 0.207650 0.978203i
\(82\) 3.95720 + 8.83652i 0.436999 + 0.975830i
\(83\) −1.15632 1.01407i −0.126923 0.111308i 0.593531 0.804811i \(-0.297733\pi\)
−0.720454 + 0.693503i \(0.756067\pi\)
\(84\) −6.67713 6.61872i −0.728535 0.722162i
\(85\) 0.171415 2.61528i 0.0185925 0.283667i
\(86\) −4.83382 + 4.48777i −0.521245 + 0.483929i
\(87\) −2.32590 5.41269i −0.249363 0.580301i
\(88\) −10.3885 2.56670i −1.10742 0.273611i
\(89\) −12.7922 + 5.29872i −1.35598 + 0.561663i −0.937949 0.346772i \(-0.887278\pi\)
−0.418026 + 0.908435i \(0.637278\pi\)
\(90\) −6.90963 + 0.833907i −0.728339 + 0.0879015i
\(91\) 3.53366 + 17.7649i 0.370428 + 1.86227i
\(92\) −7.16828 8.31982i −0.747345 0.867402i
\(93\) −5.01441 4.28213i −0.519971 0.444037i
\(94\) −2.68929 + 1.65601i −0.277379 + 0.170805i
\(95\) −1.45843 + 0.842024i −0.149632 + 0.0863899i
\(96\) −9.56111 + 2.14128i −0.975827 + 0.218544i
\(97\) −6.98956 4.03542i −0.709682 0.409735i 0.101261 0.994860i \(-0.467712\pi\)
−0.810943 + 0.585125i \(0.801046\pi\)
\(98\) −0.517352 + 0.0146672i −0.0522604 + 0.00148161i
\(99\) −10.3081 4.75040i −1.03600 0.477434i
\(100\) −2.00609 4.15946i −0.200609 0.415946i
\(101\) 13.9461 + 4.73405i 1.38768 + 0.471055i 0.912589 0.408879i \(-0.134080\pi\)
0.475096 + 0.879934i \(0.342413\pi\)
\(102\) 0.603586 3.86668i 0.0597639 0.382859i
\(103\) −4.19350 3.21778i −0.413197 0.317057i 0.381159 0.924509i \(-0.375525\pi\)
−0.794356 + 0.607452i \(0.792192\pi\)
\(104\) 17.5776 + 6.88087i 1.72362 + 0.674724i
\(105\) −4.61352 + 6.17911i −0.450233 + 0.603020i
\(106\) 4.96450 16.1113i 0.482195 1.56486i
\(107\) 2.88931 + 1.93057i 0.279320 + 0.186635i 0.687337 0.726339i \(-0.258780\pi\)
−0.408017 + 0.912974i \(0.633780\pi\)
\(108\) −10.3874 + 0.319067i −0.999529 + 0.0307022i
\(109\) −3.85995 + 19.4053i −0.369716 + 1.85869i 0.128603 + 0.991696i \(0.458951\pi\)
−0.498320 + 0.866993i \(0.666049\pi\)
\(110\) −0.898567 + 8.73092i −0.0856750 + 0.832461i
\(111\) 12.6991 7.55630i 1.20534 0.717212i
\(112\) −5.59201 + 9.30510i −0.528395 + 0.879249i
\(113\) 0.184359 + 0.0493988i 0.0173430 + 0.00464705i 0.267480 0.963563i \(-0.413809\pi\)
−0.250137 + 0.968210i \(0.580476\pi\)
\(114\) −2.28128 + 1.05786i −0.213661 + 0.0990775i
\(115\) −5.93912 + 6.77227i −0.553826 + 0.631517i
\(116\) −5.43299 + 4.09373i −0.504440 + 0.380094i
\(117\) 16.9341 + 10.6815i 1.56556 + 0.987501i
\(118\) 11.9744 + 7.51911i 1.10233 + 0.692190i
\(119\) −2.63969 3.44011i −0.241980 0.315354i
\(120\) 2.83092 + 7.52133i 0.258427 + 0.686600i
\(121\) −2.01719 + 2.62885i −0.183381 + 0.238987i
\(122\) −2.57830 6.94252i −0.233429 0.628546i
\(123\) 10.5653 5.38418i 0.952642 0.485476i
\(124\) −3.42735 + 6.79911i −0.307785 + 0.610578i
\(125\) −9.96923 + 6.66123i −0.891675 + 0.595798i
\(126\) −7.68514 + 8.57474i −0.684646 + 0.763898i
\(127\) −7.42652 −0.658997 −0.329498 0.944156i \(-0.606880\pi\)
−0.329498 + 0.944156i \(0.606880\pi\)
\(128\) 5.02473 + 10.1367i 0.444128 + 0.895964i
\(129\) 5.78688 + 5.63657i 0.509506 + 0.496272i
\(130\) 3.58180 15.0627i 0.314144 1.32109i
\(131\) 17.8633 + 8.80921i 1.56072 + 0.769664i 0.998361 0.0572257i \(-0.0182255\pi\)
0.562364 + 0.826890i \(0.309892\pi\)
\(132\) −2.50033 + 12.8651i −0.217626 + 1.11977i
\(133\) −0.895592 + 2.63833i −0.0776577 + 0.228772i
\(134\) −8.95369 1.51859i −0.773481 0.131187i
\(135\) 1.44521 + 8.40053i 0.124384 + 0.723003i
\(136\) −4.50260 + 0.383777i −0.386095 + 0.0329086i
\(137\) −4.70755 6.13500i −0.402193 0.524148i 0.547720 0.836662i \(-0.315496\pi\)
−0.949913 + 0.312513i \(0.898829\pi\)
\(138\) −9.73570 + 9.28018i −0.828758 + 0.789982i
\(139\) −5.03271 0.329861i −0.426869 0.0279785i −0.149545 0.988755i \(-0.547781\pi\)
−0.277324 + 0.960776i \(0.589448\pi\)
\(140\) 8.19639 + 3.47952i 0.692722 + 0.294073i
\(141\) 2.19111 + 3.18763i 0.184525 + 0.268447i
\(142\) 5.71178 + 7.02234i 0.479322 + 0.589302i
\(143\) 17.8539 17.8539i 1.49302 1.49302i
\(144\) 3.20755 + 11.5634i 0.267296 + 0.963615i
\(145\) 3.94541 + 3.94541i 0.327648 + 0.327648i
\(146\) −1.71918 + 16.7044i −0.142280 + 1.38246i
\(147\) 0.0497759 + 0.631921i 0.00410545 + 0.0521200i
\(148\) −11.9593 12.1708i −0.983047 1.00043i
\(149\) −0.532888 + 8.13029i −0.0436558 + 0.666059i 0.918817 + 0.394683i \(0.129146\pi\)
−0.962473 + 0.271377i \(0.912521\pi\)
\(150\) −4.96440 + 2.70980i −0.405341 + 0.221254i
\(151\) 7.51745 5.76835i 0.611762 0.469421i −0.255814 0.966726i \(-0.582344\pi\)
0.867576 + 0.497305i \(0.165677\pi\)
\(152\) 1.81238 + 2.26856i 0.147003 + 0.184004i
\(153\) −4.76686 0.500371i −0.385378 0.0404526i
\(154\) 8.40651 + 11.8405i 0.677416 + 0.954135i
\(155\) 5.91379 + 2.00746i 0.475007 + 0.161243i
\(156\) 7.33503 21.9243i 0.587273 1.75535i
\(157\) −4.49898 + 9.12302i −0.359057 + 0.728096i −0.999193 0.0401656i \(-0.987211\pi\)
0.640136 + 0.768262i \(0.278878\pi\)
\(158\) −8.99966 14.6151i −0.715974 1.16271i
\(159\) −20.0128 5.08116i −1.58711 0.402963i
\(160\) 7.65957 5.23867i 0.605543 0.414153i
\(161\) 14.9027i 1.17450i
\(162\) 1.02947 + 12.6862i 0.0808824 + 0.996724i
\(163\) −1.01960 1.52594i −0.0798611 0.119521i 0.789389 0.613894i \(-0.210398\pi\)
−0.869250 + 0.494373i \(0.835398\pi\)
\(164\) −8.93758 10.3734i −0.697908 0.810023i
\(165\) 10.7349 + 0.561873i 0.835714 + 0.0437418i
\(166\) 1.97722 + 0.906329i 0.153462 + 0.0703448i
\(167\) −10.2001 7.82678i −0.789304 0.605654i 0.133445 0.991056i \(-0.457396\pi\)
−0.922749 + 0.385402i \(0.874063\pi\)
\(168\) 11.7261 + 6.26755i 0.904687 + 0.483552i
\(169\) −25.0221 + 19.2002i −1.92478 + 1.47694i
\(170\) 0.825833 + 3.61333i 0.0633385 + 0.277130i
\(171\) 1.43435 + 2.72536i 0.109687 + 0.208413i
\(172\) 4.73462 8.03711i 0.361012 0.612824i
\(173\) −18.6659 16.3695i −1.41914 1.24455i −0.927536 0.373734i \(-0.878077\pi\)
−0.491604 0.870819i \(-0.663589\pi\)
\(174\) 5.34176 + 6.39372i 0.404958 + 0.484706i
\(175\) −1.62193 + 6.05311i −0.122606 + 0.457572i
\(176\) 15.1160 0.724943i 1.13941 0.0546447i
\(177\) 8.46052 15.1097i 0.635932 1.13572i
\(178\) 15.1910 12.3559i 1.13861 0.926117i
\(179\) −6.89798 1.37209i −0.515580 0.102555i −0.0695590 0.997578i \(-0.522159\pi\)
−0.446021 + 0.895023i \(0.647159\pi\)
\(180\) 9.02588 3.92560i 0.672749 0.292597i
\(181\) −3.02579 + 4.52842i −0.224905 + 0.336595i −0.926712 0.375773i \(-0.877377\pi\)
0.701806 + 0.712368i \(0.252377\pi\)
\(182\) −11.9760 22.6436i −0.887719 1.67845i
\(183\) −8.33342 + 3.58098i −0.616024 + 0.264714i
\(184\) 13.0799 + 8.37401i 0.964262 + 0.617340i
\(185\) −8.51992 + 11.1034i −0.626397 + 0.816336i
\(186\) 8.52756 + 3.77395i 0.625271 + 0.276720i
\(187\) −1.94296 + 5.72378i −0.142083 + 0.418564i
\(188\) 2.97426 3.33213i 0.216920 0.243020i
\(189\) 10.9615 + 8.87280i 0.797332 + 0.645401i
\(190\) 1.63565 1.73110i 0.118662 0.125587i
\(191\) −0.133760 + 0.231679i −0.00967852 + 0.0167637i −0.870824 0.491595i \(-0.836414\pi\)
0.861146 + 0.508358i \(0.169747\pi\)
\(192\) 12.0900 6.76999i 0.872518 0.488582i
\(193\) 5.64140 + 9.77119i 0.406077 + 0.703346i 0.994446 0.105247i \(-0.0335632\pi\)
−0.588369 + 0.808592i \(0.700230\pi\)
\(194\) 11.1043 + 2.64051i 0.797240 + 0.189578i
\(195\) −18.6451 3.45437i −1.33520 0.247373i
\(196\) 0.695131 0.229191i 0.0496522 0.0163708i
\(197\) −1.49981 + 0.298331i −0.106857 + 0.0212552i −0.248229 0.968701i \(-0.579849\pi\)
0.141372 + 0.989957i \(0.454849\pi\)
\(198\) 15.8905 + 2.26675i 1.12929 + 0.161091i
\(199\) −4.36046 10.5271i −0.309104 0.746244i −0.999735 0.0230361i \(-0.992667\pi\)
0.690630 0.723208i \(-0.257333\pi\)
\(200\) 4.40134 + 4.82485i 0.311222 + 0.341169i
\(201\) −1.30658 + 11.0456i −0.0921591 + 0.779095i
\(202\) −20.8137 0.772686i −1.46445 0.0543660i
\(203\) 9.21154 + 0.603756i 0.646523 + 0.0423754i
\(204\) 0.746501 + 5.48396i 0.0522655 + 0.383954i
\(205\) −7.40504 + 8.44383i −0.517190 + 0.589743i
\(206\) 6.98451 + 2.66378i 0.486634 + 0.185594i
\(207\) 11.9506 + 11.3376i 0.830623 + 0.788020i
\(208\) −26.6034 2.21257i −1.84461 0.153414i
\(209\) 3.75158 1.00523i 0.259502 0.0695334i
\(210\) 3.75179 10.2399i 0.258898 0.706622i
\(211\) 19.5648 6.64136i 1.34690 0.457210i 0.447478 0.894295i \(-0.352322\pi\)
0.899420 + 0.437085i \(0.143989\pi\)
\(212\) −0.208945 + 23.8410i −0.0143504 + 1.63741i
\(213\) 8.23825 7.41875i 0.564475 0.508324i
\(214\) −4.69640 1.44714i −0.321039 0.0989245i
\(215\) −7.06860 2.92791i −0.482074 0.199682i
\(216\) 13.9469 4.63501i 0.948968 0.315373i
\(217\) 9.54596 3.95407i 0.648022 0.268419i
\(218\) −2.62056 27.8579i −0.177487 1.88677i
\(219\) 20.5386 + 1.07500i 1.38787 + 0.0726418i
\(220\) −2.31480 12.1949i −0.156063 0.822177i
\(221\) 4.71596 9.56302i 0.317230 0.643278i
\(222\) −14.1513 + 15.3775i −0.949776 + 1.03207i
\(223\) −2.36612 1.36608i −0.158447 0.0914793i 0.418680 0.908134i \(-0.362493\pi\)
−0.577127 + 0.816654i \(0.695826\pi\)
\(224\) 3.81300 14.8719i 0.254767 0.993668i
\(225\) 3.62010 + 5.90570i 0.241340 + 0.393713i
\(226\) −0.269812 + 0.00764932i −0.0179476 + 0.000508825i
\(227\) −21.9972 + 1.44177i −1.46000 + 0.0956938i −0.774592 0.632461i \(-0.782045\pi\)
−0.685413 + 0.728155i \(0.740378\pi\)
\(228\) 2.66337 2.35649i 0.176386 0.156062i
\(229\) −2.34201 + 2.05389i −0.154764 + 0.135725i −0.733226 0.679985i \(-0.761986\pi\)
0.578462 + 0.815709i \(0.303653\pi\)
\(230\) 5.30813 11.5800i 0.350008 0.763565i
\(231\) 13.9660 11.0114i 0.918895 0.724498i
\(232\) 5.70598 7.74557i 0.374616 0.508522i
\(233\) −22.2960 9.23531i −1.46066 0.605025i −0.495953 0.868349i \(-0.665181\pi\)
−0.964707 + 0.263324i \(0.915181\pi\)
\(234\) −27.2691 7.62310i −1.78264 0.498338i
\(235\) −3.04606 2.03531i −0.198703 0.132769i
\(236\) −19.2687 5.34445i −1.25428 0.347894i
\(237\) −17.3233 + 11.9077i −1.12527 + 0.773488i
\(238\) 4.96889 + 3.59371i 0.322085 + 0.232946i
\(239\) −4.26767 + 15.9272i −0.276053 + 1.03024i 0.679080 + 0.734065i \(0.262379\pi\)
−0.955132 + 0.296179i \(0.904288\pi\)
\(240\) −6.87925 9.04682i −0.444054 0.583970i
\(241\) −6.07597 22.6758i −0.391387 1.46068i −0.827847 0.560954i \(-0.810434\pi\)
0.436460 0.899724i \(-0.356232\pi\)
\(242\) 1.66989 4.37851i 0.107345 0.281461i
\(243\) 15.4544 2.03988i 0.991401 0.130858i
\(244\) 6.30275 + 8.36467i 0.403492 + 0.535493i
\(245\) −0.265528 0.538437i −0.0169639 0.0343995i
\(246\) −12.1387 + 11.5708i −0.773935 + 0.737724i
\(247\) −6.79264 + 0.894267i −0.432205 + 0.0569009i
\(248\) 1.89356 10.6002i 0.120241 0.673112i
\(249\) 0.986953 2.47430i 0.0625456 0.156802i
\(250\) 10.8143 13.0601i 0.683955 0.825994i
\(251\) −4.36530 + 0.868312i −0.275535 + 0.0548074i −0.330924 0.943657i \(-0.607360\pi\)
0.0553884 + 0.998465i \(0.482360\pi\)
\(252\) 6.94490 14.7290i 0.437488 0.927839i
\(253\) 17.2731 11.5415i 1.08595 0.725610i
\(254\) 10.0637 3.00470i 0.631453 0.188532i
\(255\) 4.36900 1.23250i 0.273597 0.0771823i
\(256\) −10.9102 11.7033i −0.681889 0.731455i
\(257\) −0.419525 0.726638i −0.0261692 0.0453265i 0.852644 0.522492i \(-0.174998\pi\)
−0.878813 + 0.477166i \(0.841664\pi\)
\(258\) −10.1223 5.29682i −0.630188 0.329766i
\(259\) 1.51441 + 23.1054i 0.0941008 + 1.43570i
\(260\) 1.24052 + 21.8607i 0.0769341 + 1.35574i
\(261\) 7.49208 6.92747i 0.463748 0.428800i
\(262\) −27.7708 4.71007i −1.71568 0.290989i
\(263\) 21.5670 + 2.83935i 1.32988 + 0.175082i 0.761757 0.647863i \(-0.224337\pi\)
0.568121 + 0.822945i \(0.307670\pi\)
\(264\) −1.81690 18.4452i −0.111823 1.13522i
\(265\) 19.3883 2.55251i 1.19101 0.156800i
\(266\) 0.146177 3.93756i 0.00896272 0.241427i
\(267\) −16.0485 17.8213i −0.982154 1.09065i
\(268\) 12.7476 1.56473i 0.778683 0.0955808i
\(269\) 15.9181 + 3.16630i 0.970541 + 0.193053i 0.654808 0.755795i \(-0.272749\pi\)
0.315733 + 0.948848i \(0.397749\pi\)
\(270\) −5.35719 10.7989i −0.326028 0.657199i
\(271\) 3.29152 3.29152i 0.199946 0.199946i −0.600031 0.799977i \(-0.704845\pi\)
0.799977 + 0.600031i \(0.204845\pi\)
\(272\) 5.94622 2.34177i 0.360543 0.141991i
\(273\) −26.9607 + 16.0424i −1.63173 + 0.970928i
\(274\) 8.86138 + 6.40893i 0.535336 + 0.387178i
\(275\) 8.27203 2.80798i 0.498822 0.169327i
\(276\) 9.43821 16.5146i 0.568113 0.994061i
\(277\) 18.4711 9.10892i 1.10982 0.547302i 0.207441 0.978248i \(-0.433487\pi\)
0.902378 + 0.430946i \(0.141820\pi\)
\(278\) 6.95330 1.58919i 0.417031 0.0953133i
\(279\) 4.09155 10.6631i 0.244955 0.638385i
\(280\) −12.5147 1.39893i −0.747899 0.0836022i
\(281\) 1.38576 10.5259i 0.0826672 0.627920i −0.899088 0.437769i \(-0.855769\pi\)
0.981755 0.190151i \(-0.0608978\pi\)
\(282\) −4.25887 3.43307i −0.253612 0.204436i
\(283\) −20.2711 + 17.7773i −1.20499 + 1.05675i −0.208088 + 0.978110i \(0.566724\pi\)
−0.996903 + 0.0786391i \(0.974943\pi\)
\(284\) −10.5812 7.20507i −0.627880 0.427543i
\(285\) −2.21812 1.89420i −0.131390 0.112203i
\(286\) −16.9704 + 31.4174i −1.00348 + 1.85775i
\(287\) 18.5811i 1.09681i
\(288\) −9.02499 14.3718i −0.531803 0.846868i
\(289\) 14.4474i 0.849848i
\(290\) −6.94271 3.75016i −0.407690 0.220217i
\(291\) 2.54657 13.7452i 0.149283 0.805758i
\(292\) −4.42877 23.3317i −0.259174 1.36539i
\(293\) 10.6808 9.36682i 0.623980 0.547215i −0.287907 0.957658i \(-0.592959\pi\)
0.911886 + 0.410443i \(0.134626\pi\)
\(294\) −0.323121 0.836180i −0.0188448 0.0487670i
\(295\) −2.14078 + 16.2608i −0.124641 + 0.946743i
\(296\) 21.1302 + 11.6540i 1.22817 + 0.677377i
\(297\) 1.79487 19.5767i 0.104149 1.13595i
\(298\) −2.56732 11.2330i −0.148721 0.650710i
\(299\) −32.8666 + 16.2080i −1.90073 + 0.937334i
\(300\) 5.63092 5.68061i 0.325101 0.327970i
\(301\) −11.9865 + 4.06887i −0.690890 + 0.234526i
\(302\) −7.85311 + 10.8582i −0.451896 + 0.624819i
\(303\) 0.335612 + 25.5068i 0.0192804 + 1.46533i
\(304\) −3.37380 2.34086i −0.193500 0.134257i
\(305\) 6.07438 6.07438i 0.347818 0.347818i
\(306\) 6.66203 1.25057i 0.380843 0.0714904i
\(307\) 27.3538 + 5.44101i 1.56116 + 0.310535i 0.898702 0.438560i \(-0.144511\pi\)
0.662462 + 0.749095i \(0.269511\pi\)
\(308\) −16.1822 12.6439i −0.922069 0.720455i
\(309\) 2.82854 8.70735i 0.160910 0.495344i
\(310\) −8.82600 0.327655i −0.501283 0.0186096i
\(311\) 22.5784 2.97250i 1.28030 0.168555i 0.540479 0.841357i \(-0.318243\pi\)
0.739822 + 0.672802i \(0.234910\pi\)
\(312\) −1.06938 + 32.6774i −0.0605418 + 1.84999i
\(313\) 10.5274 + 1.38596i 0.595044 + 0.0783391i 0.422033 0.906581i \(-0.361317\pi\)
0.173012 + 0.984920i \(0.444650\pi\)
\(314\) 2.40549 14.1829i 0.135750 0.800386i
\(315\) −12.7563 3.95907i −0.718737 0.223068i
\(316\) 18.1086 + 16.1637i 1.01869 + 0.909281i
\(317\) −1.08423 16.5421i −0.0608962 0.929096i −0.913577 0.406665i \(-0.866692\pi\)
0.852681 0.522431i \(-0.174975\pi\)
\(318\) 29.1752 1.21146i 1.63606 0.0679355i
\(319\) −6.43417 11.1443i −0.360244 0.623962i
\(320\) −8.26001 + 10.1979i −0.461748 + 0.570082i
\(321\) −1.48115 + 5.83368i −0.0826697 + 0.325604i
\(322\) −6.02950 20.1947i −0.336011 1.12541i
\(323\) 1.36374 0.911225i 0.0758808 0.0507019i
\(324\) −6.52776 16.7746i −0.362653 0.931924i
\(325\) −15.1136 + 3.00628i −0.838351 + 0.166758i
\(326\) 1.99904 + 1.65528i 0.110717 + 0.0916777i
\(327\) −33.9145 + 4.91968i −1.87547 + 0.272059i
\(328\) 16.3083 + 10.4409i 0.900476 + 0.576503i
\(329\) −6.00921 + 0.791128i −0.331299 + 0.0436163i
\(330\) −14.7743 + 3.58186i −0.813298 + 0.197175i
\(331\) 2.40328 + 4.87337i 0.132096 + 0.267865i 0.952864 0.303397i \(-0.0981208\pi\)
−0.820768 + 0.571262i \(0.806454\pi\)
\(332\) −3.04603 0.428207i −0.167173 0.0235009i
\(333\) 19.6805 + 16.3636i 1.07849 + 0.896722i
\(334\) 16.9888 + 6.47925i 0.929585 + 0.354529i
\(335\) −2.72647 10.1753i −0.148963 0.555937i
\(336\) −18.4259 3.74893i −1.00521 0.204521i
\(337\) 5.72526 21.3669i 0.311875 1.16393i −0.614990 0.788535i \(-0.710840\pi\)
0.926864 0.375397i \(-0.122494\pi\)
\(338\) 26.1394 36.1419i 1.42180 1.96586i
\(339\) 0.0259594 + 0.329563i 0.00140992 + 0.0178994i
\(340\) −2.58101 4.56231i −0.139975 0.247426i
\(341\) −11.9759 8.00207i −0.648534 0.433337i
\(342\) −3.04634 3.11282i −0.164727 0.168322i
\(343\) 16.6344 + 6.89020i 0.898174 + 0.372036i
\(344\) −3.16417 + 12.8067i −0.170601 + 0.690491i
\(345\) −14.4913 5.78032i −0.780186 0.311202i
\(346\) 31.9172 + 14.6304i 1.71588 + 0.786534i
\(347\) 0.147392 0.129260i 0.00791244 0.00693903i −0.655380 0.755299i \(-0.727492\pi\)
0.663293 + 0.748360i \(0.269158\pi\)
\(348\) −9.82548 6.50292i −0.526701 0.348593i
\(349\) 18.2837 1.19838i 0.978706 0.0641478i 0.432355 0.901704i \(-0.357683\pi\)
0.546352 + 0.837556i \(0.316016\pi\)
\(350\) −0.251152 8.85881i −0.0134247 0.473523i
\(351\) −7.64657 + 33.8246i −0.408144 + 1.80542i
\(352\) −20.1904 + 7.09814i −1.07615 + 0.378332i
\(353\) −4.87043 2.81195i −0.259227 0.149665i 0.364755 0.931104i \(-0.381153\pi\)
−0.623982 + 0.781439i \(0.714486\pi\)
\(354\) −5.35163 + 23.8983i −0.284436 + 1.27018i
\(355\) −4.64399 + 9.41708i −0.246477 + 0.499807i
\(356\) −15.5863 + 22.8897i −0.826072 + 1.21315i
\(357\) 4.09006 6.29907i 0.216469 0.333382i
\(358\) 9.90262 0.931528i 0.523370 0.0492328i
\(359\) −0.589420 + 0.244146i −0.0311084 + 0.0128855i −0.398183 0.917306i \(-0.630359\pi\)
0.367075 + 0.930191i \(0.380359\pi\)
\(360\) −10.6427 + 8.97138i −0.560922 + 0.472833i
\(361\) 16.5801 + 6.86768i 0.872634 + 0.361457i
\(362\) 2.26811 7.36068i 0.119209 0.386869i
\(363\) −5.45853 1.77318i −0.286499 0.0930679i
\(364\) 25.3901 + 25.8391i 1.33080 + 1.35433i
\(365\) −18.4451 + 6.26125i −0.965458 + 0.327729i
\(366\) 9.84382 8.22422i 0.514545 0.429887i
\(367\) −8.79385 + 2.35631i −0.459035 + 0.122998i −0.480924 0.876762i \(-0.659699\pi\)
0.0218887 + 0.999760i \(0.493032\pi\)
\(368\) −21.1126 6.05566i −1.10057 0.315673i
\(369\) 14.9003 + 14.1360i 0.775677 + 0.735892i
\(370\) 7.05306 18.4933i 0.366671 0.961421i
\(371\) 21.3324 24.3249i 1.10752 1.26289i
\(372\) −13.0826 1.66393i −0.678303 0.0862705i
\(373\) 29.6823 + 1.94548i 1.53689 + 0.100733i 0.810168 0.586198i \(-0.199376\pi\)
0.726722 + 0.686931i \(0.241043\pi\)
\(374\) 0.317128 8.54242i 0.0163983 0.441718i
\(375\) −16.6406 12.4244i −0.859314 0.641591i
\(376\) −2.68229 + 5.71874i −0.138328 + 0.294921i
\(377\) 8.68683 + 20.9719i 0.447395 + 1.08011i
\(378\) −18.4438 7.58865i −0.948648 0.390318i
\(379\) −23.4516 + 4.66481i −1.20463 + 0.239615i −0.756282 0.654246i \(-0.772986\pi\)
−0.448344 + 0.893861i \(0.647986\pi\)
\(380\) −1.51609 + 3.00758i −0.0777736 + 0.154286i
\(381\) −4.29461 12.1250i −0.220019 0.621183i
\(382\) 0.0875234 0.368067i 0.00447809 0.0188319i
\(383\) −7.57624 13.1224i −0.387128 0.670525i 0.604934 0.796276i \(-0.293200\pi\)
−0.992062 + 0.125750i \(0.959866\pi\)
\(384\) −13.6441 + 14.0655i −0.696271 + 0.717779i
\(385\) −8.42205 + 14.5874i −0.429228 + 0.743444i
\(386\) −11.5980 10.9585i −0.590323 0.557774i
\(387\) −5.85619 + 12.7075i −0.297687 + 0.645961i
\(388\) −16.1158 + 0.914518i −0.818154 + 0.0464276i
\(389\) 8.78521 25.8804i 0.445428 1.31219i −0.460088 0.887874i \(-0.652182\pi\)
0.905515 0.424314i \(-0.139485\pi\)
\(390\) 26.6636 2.86259i 1.35017 0.144953i
\(391\) 5.34057 6.95997i 0.270084 0.351981i
\(392\) −0.849246 + 0.591821i −0.0428934 + 0.0298915i
\(393\) −4.05249 + 34.2590i −0.204421 + 1.72814i
\(394\) 1.91170 1.01108i 0.0963098 0.0509373i
\(395\) 11.0610 16.5540i 0.556539 0.832920i
\(396\) −22.4503 + 3.35744i −1.12817 + 0.168718i
\(397\) 20.1232 + 4.00276i 1.00996 + 0.200893i 0.672223 0.740349i \(-0.265340\pi\)
0.337734 + 0.941242i \(0.390340\pi\)
\(398\) 10.1680 + 12.5011i 0.509677 + 0.626622i
\(399\) −4.82541 + 0.0634914i −0.241573 + 0.00317855i
\(400\) −7.91637 4.75744i −0.395818 0.237872i
\(401\) 1.92665 7.19037i 0.0962125 0.359070i −0.900988 0.433844i \(-0.857157\pi\)
0.997200 + 0.0747741i \(0.0238236\pi\)
\(402\) −2.69838 15.4965i −0.134583 0.772897i
\(403\) 19.1024 + 16.7524i 0.951559 + 0.834495i
\(404\) 28.5174 7.37396i 1.41879 0.366868i
\(405\) −12.8795 + 7.21741i −0.639988 + 0.358636i
\(406\) −12.7269 + 2.90875i −0.631624 + 0.144359i
\(407\) 25.6077 19.6495i 1.26933 0.973989i
\(408\) −3.23034 7.12931i −0.159926 0.352953i
\(409\) −29.3795 22.5437i −1.45272 1.11471i −0.971195 0.238284i \(-0.923415\pi\)
−0.481529 0.876430i \(-0.659918\pi\)
\(410\) 6.61830 14.4383i 0.326855 0.713055i
\(411\) 7.29411 11.2336i 0.359792 0.554112i
\(412\) −10.5425 0.783836i −0.519390 0.0386168i
\(413\) 15.0754 + 22.5620i 0.741814 + 1.11020i
\(414\) −20.7814 10.5286i −1.02135 0.517452i
\(415\) 2.52297i 0.123848i
\(416\) 36.9455 7.76522i 1.81140 0.380721i
\(417\) −2.37176 8.40748i −0.116146 0.411716i
\(418\) −4.67707 + 2.88005i −0.228763 + 0.140868i
\(419\) −0.0883260 + 0.179107i −0.00431501 + 0.00874996i −0.899020 0.437908i \(-0.855719\pi\)
0.894705 + 0.446658i \(0.147386\pi\)
\(420\) −0.941083 + 15.3941i −0.0459202 + 0.751155i
\(421\) 15.8217 + 5.37074i 0.771102 + 0.261754i 0.679140 0.734009i \(-0.262353\pi\)
0.0919621 + 0.995763i \(0.470686\pi\)
\(422\) −23.8253 + 16.9155i −1.15980 + 0.823432i
\(423\) −3.93726 + 5.42070i −0.191436 + 0.263563i
\(424\) −9.36271 32.3916i −0.454693 1.57308i
\(425\) 2.92669 2.24573i 0.141965 0.108934i
\(426\) −8.16212 + 13.3863i −0.395456 + 0.648568i
\(427\) 0.929548 14.1822i 0.0449840 0.686323i
\(428\) 6.94961 + 0.0609071i 0.335922 + 0.00294405i
\(429\) 39.4740 + 18.8249i 1.90582 + 0.908874i
\(430\) 10.7633 + 1.10773i 0.519052 + 0.0534197i
\(431\) −1.28087 1.28087i −0.0616973 0.0616973i 0.675585 0.737282i \(-0.263891\pi\)
−0.737282 + 0.675585i \(0.763891\pi\)
\(432\) −17.0242 + 11.9237i −0.819079 + 0.573680i
\(433\) 14.7071 14.7071i 0.706777 0.706777i −0.259079 0.965856i \(-0.583419\pi\)
0.965856 + 0.259079i \(0.0834190\pi\)
\(434\) −11.3360 + 9.22037i −0.544145 + 0.442592i
\(435\) −4.15998 + 8.72307i −0.199456 + 0.418239i
\(436\) 14.8222 + 36.6901i 0.709853 + 1.75714i
\(437\) −5.62491 0.368676i −0.269076 0.0176362i
\(438\) −28.2668 + 6.85297i −1.35064 + 0.327447i
\(439\) 20.6989 + 26.9753i 0.987904 + 1.28746i 0.957655 + 0.287919i \(0.0929635\pi\)
0.0302493 + 0.999542i \(0.490370\pi\)
\(440\) 8.07071 + 15.5888i 0.384756 + 0.743165i
\(441\) −1.00293 + 0.446695i −0.0477586 + 0.0212712i
\(442\) −2.52151 + 14.8669i −0.119936 + 0.707147i
\(443\) −12.3358 + 36.3400i −0.586089 + 1.72656i 0.0960844 + 0.995373i \(0.469368\pi\)
−0.682174 + 0.731190i \(0.738965\pi\)
\(444\) 12.9549 26.5636i 0.614815 1.26065i
\(445\) 20.3714 + 10.0461i 0.965697 + 0.476229i
\(446\) 3.75903 + 0.893869i 0.177995 + 0.0423259i
\(447\) −13.5822 + 3.83156i −0.642416 + 0.181226i
\(448\) 0.849996 + 21.6956i 0.0401585 + 1.02502i
\(449\) 2.51125 0.118513 0.0592565 0.998243i \(-0.481127\pi\)
0.0592565 + 0.998243i \(0.481127\pi\)
\(450\) −7.29501 6.53817i −0.343890 0.308212i
\(451\) 21.5366 14.3903i 1.01412 0.677611i
\(452\) 0.362528 0.119529i 0.0170519 0.00562217i
\(453\) 13.7650 + 8.93776i 0.646734 + 0.419933i
\(454\) 29.2252 10.8536i 1.37160 0.509385i
\(455\) 18.0882 23.5730i 0.847986 1.10512i
\(456\) −2.65573 + 4.27086i −0.124366 + 0.200002i
\(457\) −12.2424 15.9546i −0.572674 0.746323i 0.413778 0.910378i \(-0.364209\pi\)
−0.986451 + 0.164055i \(0.947542\pi\)
\(458\) 2.34268 3.73079i 0.109466 0.174328i
\(459\) −1.93964 8.07203i −0.0905346 0.376770i
\(460\) −2.50789 + 17.8398i −0.116931 + 0.831784i
\(461\) −3.72929 + 4.25244i −0.173690 + 0.198056i −0.832135 0.554573i \(-0.812881\pi\)
0.658444 + 0.752629i \(0.271215\pi\)
\(462\) −14.4703 + 20.5721i −0.673218 + 0.957102i
\(463\) −17.9341 4.80543i −0.833468 0.223327i −0.183242 0.983068i \(-0.558659\pi\)
−0.650226 + 0.759741i \(0.725326\pi\)
\(464\) −4.59841 + 12.8046i −0.213476 + 0.594440i
\(465\) 0.142315 + 10.8161i 0.00659972 + 0.501585i
\(466\) 33.9499 + 3.49405i 1.57270 + 0.161859i
\(467\) 2.41178 12.1248i 0.111604 0.561071i −0.884006 0.467475i \(-0.845164\pi\)
0.995610 0.0935961i \(-0.0298362\pi\)
\(468\) 40.0367 0.702719i 1.85070 0.0324832i
\(469\) −14.4913 9.68276i −0.669145 0.447108i
\(470\) 4.95120 + 1.52565i 0.228382 + 0.0703732i
\(471\) −17.4965 2.06966i −0.806196 0.0953648i
\(472\) 28.2734 0.553638i 1.30139 0.0254833i
\(473\) 13.9991 + 10.7419i 0.643680 + 0.493913i
\(474\) 18.6572 23.1450i 0.856951 1.06309i
\(475\) −2.24457 0.761930i −0.102988 0.0349597i
\(476\) −8.18734 2.85949i −0.375266 0.131064i
\(477\) −3.27714 35.6124i −0.150050 1.63058i
\(478\) −0.660842 23.3096i −0.0302262 1.06616i
\(479\) 5.36114 + 3.09526i 0.244957 + 0.141426i 0.617453 0.786608i \(-0.288165\pi\)
−0.372496 + 0.928034i \(0.621498\pi\)
\(480\) 12.9824 + 9.47610i 0.592561 + 0.432523i
\(481\) −49.3099 + 28.4691i −2.24834 + 1.29808i
\(482\) 17.4080 + 28.2698i 0.792912 + 1.28765i
\(483\) −24.3311 + 8.61794i −1.10710 + 0.392130i
\(484\) −0.491377 + 6.60895i −0.0223353 + 0.300407i
\(485\) 2.58294 + 12.9853i 0.117285 + 0.589632i
\(486\) −20.1170 + 9.01696i −0.912527 + 0.409017i
\(487\) −27.6194 + 11.4403i −1.25156 + 0.518411i −0.907308 0.420467i \(-0.861866\pi\)
−0.344248 + 0.938879i \(0.611866\pi\)
\(488\) −11.9251 8.78497i −0.539826 0.397677i
\(489\) 1.90173 2.54708i 0.0859992 0.115183i
\(490\) 0.577664 + 0.622208i 0.0260962 + 0.0281085i
\(491\) −1.75331 + 26.7503i −0.0791257 + 1.20723i 0.755028 + 0.655693i \(0.227623\pi\)
−0.834153 + 0.551532i \(0.814043\pi\)
\(492\) 11.7678 20.5908i 0.530533 0.928304i
\(493\) −4.08568 3.58304i −0.184010 0.161372i
\(494\) 8.84291 3.96006i 0.397862 0.178172i
\(495\) 5.29045 + 17.8515i 0.237788 + 0.802364i
\(496\) 1.72276 + 15.1305i 0.0773541 + 0.679378i
\(497\) 4.49612 + 16.7798i 0.201679 + 0.752675i
\(498\) −0.336346 + 3.75225i −0.0150720 + 0.168142i
\(499\) 1.92104 + 5.65921i 0.0859976 + 0.253341i 0.981418 0.191880i \(-0.0614585\pi\)
−0.895421 + 0.445221i \(0.853125\pi\)
\(500\) −9.37047 + 22.0732i −0.419060 + 0.987142i
\(501\) 6.88002 21.1793i 0.307376 0.946223i
\(502\) 5.56413 2.94281i 0.248339 0.131344i
\(503\) 2.17601 5.25335i 0.0970234 0.234235i −0.867914 0.496714i \(-0.834540\pi\)
0.964938 + 0.262479i \(0.0845399\pi\)
\(504\) −3.45185 + 22.7692i −0.153758 + 1.01422i
\(505\) −9.24553 22.3207i −0.411421 0.993257i
\(506\) −18.7373 + 22.6285i −0.832974 + 1.00596i
\(507\) −45.8172 29.7497i −2.03481 1.32123i
\(508\) −12.4217 + 8.14336i −0.551123 + 0.361303i
\(509\) −27.3418 13.4835i −1.21190 0.597644i −0.279876 0.960036i \(-0.590293\pi\)
−0.932026 + 0.362392i \(0.881960\pi\)
\(510\) −5.42179 + 3.43782i −0.240081 + 0.152229i
\(511\) −16.1134 + 27.9093i −0.712817 + 1.23464i
\(512\) 19.5195 + 11.4450i 0.862650 + 0.505802i
\(513\) −3.62014 + 3.91783i −0.159833 + 0.172976i
\(514\) 0.862491 + 0.814935i 0.0380428 + 0.0359452i
\(515\) 0.567109 + 8.65241i 0.0249898 + 0.381271i
\(516\) 15.8598 + 3.08235i 0.698191 + 0.135693i
\(517\) 5.57085 + 6.35234i 0.245006 + 0.279376i
\(518\) −11.4004 30.6975i −0.500905 1.34877i
\(519\) 15.9319 39.9413i 0.699331 1.75323i
\(520\) −10.5257 29.1216i −0.461581 1.27707i
\(521\) 6.53022 15.7653i 0.286094 0.690693i −0.713860 0.700289i \(-0.753055\pi\)
0.999954 + 0.00959618i \(0.00305461\pi\)
\(522\) −7.34976 + 12.4187i −0.321690 + 0.543550i
\(523\) 0.204392 0.305894i 0.00893742 0.0133758i −0.826974 0.562240i \(-0.809940\pi\)
0.835911 + 0.548864i \(0.184940\pi\)
\(524\) 39.5379 4.85315i 1.72722 0.212011i
\(525\) −10.8206 + 0.852331i −0.472251 + 0.0371988i
\(526\) −30.3743 + 4.87819i −1.32438 + 0.212699i
\(527\) −5.87521 1.57426i −0.255928 0.0685758i
\(528\) 9.92484 + 24.2601i 0.431923 + 1.05578i
\(529\) −6.90727 + 1.85080i −0.300316 + 0.0804694i
\(530\) −25.2404 + 11.3032i −1.09637 + 0.490981i
\(531\) 29.5616 + 5.07554i 1.28287 + 0.220260i
\(532\) 1.39501 + 5.39494i 0.0604815 + 0.233900i
\(533\) −40.9789 + 20.2085i −1.77499 + 0.875329i
\(534\) 28.9577 + 17.6566i 1.25312 + 0.764077i
\(535\) −0.744052 5.65164i −0.0321682 0.244342i
\(536\) −16.6412 + 7.27792i −0.718792 + 0.314358i
\(537\) −1.74880 12.0555i −0.0754661 0.520235i
\(538\) −22.8517 + 2.14963i −0.985206 + 0.0926772i
\(539\) 0.270119 + 1.35798i 0.0116349 + 0.0584924i
\(540\) 11.6287 + 12.4661i 0.500418 + 0.536457i
\(541\) −16.0418 24.0083i −0.689691 1.03220i −0.996754 0.0805062i \(-0.974346\pi\)
0.307063 0.951689i \(-0.400654\pi\)
\(542\) −3.12864 + 5.79207i −0.134386 + 0.248791i
\(543\) −9.14314 2.32141i −0.392370 0.0996212i
\(544\) −7.11029 + 5.57912i −0.304851 + 0.239203i
\(545\) 28.1084 16.2284i 1.20403 0.695147i
\(546\) 30.0439 32.6471i 1.28576 1.39717i
\(547\) 41.7248 2.73479i 1.78402 0.116931i 0.862697 0.505722i \(-0.168774\pi\)
0.921326 + 0.388791i \(0.127107\pi\)
\(548\) −14.6011 5.09954i −0.623727 0.217841i
\(549\) −10.6656 11.5349i −0.455196 0.492296i
\(550\) −10.0734 + 7.15188i −0.429530 + 0.304957i
\(551\) −0.455766 + 3.46189i −0.0194163 + 0.147481i
\(552\) −6.10811 + 26.1976i −0.259978 + 1.11504i
\(553\) −4.29941 32.6573i −0.182830 1.38873i
\(554\) −21.3448 + 19.8167i −0.906855 + 0.841933i
\(555\) −23.0550 7.48931i −0.978629 0.317903i
\(556\) −8.77948 + 4.96676i −0.372333 + 0.210637i
\(557\) −3.99048 + 20.0615i −0.169082 + 0.850032i 0.799372 + 0.600837i \(0.205166\pi\)
−0.968453 + 0.249195i \(0.919834\pi\)
\(558\) −1.23028 + 16.1050i −0.0520818 + 0.681781i
\(559\) −22.0099 22.0099i −0.930919 0.930919i
\(560\) 17.5248 3.16765i 0.740557 0.133858i
\(561\) −10.4686 + 0.137743i −0.441984 + 0.00581551i
\(562\) 2.38082 + 14.8243i 0.100429 + 0.625325i
\(563\) 13.5378 + 39.8812i 0.570552 + 1.68079i 0.721637 + 0.692272i \(0.243390\pi\)
−0.151085 + 0.988521i \(0.548277\pi\)
\(564\) 7.16020 + 2.92907i 0.301499 + 0.123336i
\(565\) −0.138479 0.280808i −0.00582587 0.0118137i
\(566\) 20.2769 32.2915i 0.852303 1.35731i
\(567\) −8.14749 + 23.0274i −0.342162 + 0.967061i
\(568\) 17.2538 + 5.48256i 0.723952 + 0.230043i
\(569\) −17.3033 2.27802i −0.725391 0.0954995i −0.241217 0.970471i \(-0.577546\pi\)
−0.484174 + 0.874972i \(0.660880\pi\)
\(570\) 3.77216 + 1.66941i 0.157998 + 0.0699237i
\(571\) 0.539130 + 0.614759i 0.0225619 + 0.0257269i 0.763011 0.646386i \(-0.223720\pi\)
−0.740449 + 0.672113i \(0.765387\pi\)
\(572\) 10.2854 49.4399i 0.430056 2.06719i
\(573\) −0.455604 0.0844097i −0.0190331 0.00352627i
\(574\) −7.51772 25.1793i −0.313783 1.05096i
\(575\) −12.6786 −0.528733
\(576\) 18.0445 + 15.8239i 0.751855 + 0.659329i
\(577\) 12.6261 0.525630 0.262815 0.964846i \(-0.415349\pi\)
0.262815 + 0.964846i \(0.415349\pi\)
\(578\) 5.84528 + 19.5777i 0.243132 + 0.814327i
\(579\) −12.6908 + 14.8610i −0.527410 + 0.617602i
\(580\) 10.9254 + 2.27291i 0.453651 + 0.0943772i
\(581\) 2.75221 + 3.13829i 0.114181 + 0.130198i
\(582\) 2.11031 + 19.6565i 0.0874752 + 0.814788i
\(583\) −44.7151 5.88686i −1.85191 0.243809i
\(584\) 15.4412 + 29.8251i 0.638963 + 1.23417i
\(585\) −5.14225 32.4388i −0.212606 1.34118i
\(586\) −10.6839 + 17.0144i −0.441347 + 0.702857i
\(587\) −2.31481 4.69397i −0.0955423 0.193741i 0.843855 0.536572i \(-0.180281\pi\)
−0.939397 + 0.342831i \(0.888614\pi\)
\(588\) 0.776173 + 1.00238i 0.0320088 + 0.0413374i
\(589\) 1.25627 + 3.70086i 0.0517639 + 0.152491i
\(590\) −3.67800 22.9013i −0.151421 0.942831i
\(591\) −1.35438 2.27617i −0.0557119 0.0936290i
\(592\) −33.3488 7.24333i −1.37063 0.297699i
\(593\) 8.13456 + 8.13456i 0.334046 + 0.334046i 0.854121 0.520074i \(-0.174096\pi\)
−0.520074 + 0.854121i \(0.674096\pi\)
\(594\) 5.48829 + 27.2546i 0.225187 + 1.11827i
\(595\) −1.38771 + 6.97651i −0.0568907 + 0.286009i
\(596\) 8.02375 + 14.1832i 0.328666 + 0.580965i
\(597\) 14.6656 13.2068i 0.600223 0.540516i
\(598\) 37.9801 35.2611i 1.55312 1.44193i
\(599\) 0.167106 + 1.26929i 0.00682775 + 0.0518619i 0.994520 0.104551i \(-0.0333404\pi\)
−0.987692 + 0.156413i \(0.950007\pi\)
\(600\) −5.33216 + 9.97603i −0.217684 + 0.407270i
\(601\) 2.55267 19.3894i 0.104125 0.790911i −0.857101 0.515149i \(-0.827737\pi\)
0.961226 0.275762i \(-0.0889301\pi\)
\(602\) 14.5967 10.3634i 0.594918 0.422379i
\(603\) −18.7893 + 4.25423i −0.765159 + 0.173246i
\(604\) 6.24866 17.8913i 0.254254 0.727986i
\(605\) 5.42410 0.355514i 0.220521 0.0144537i
\(606\) −10.7746 34.4286i −0.437689 1.39857i
\(607\) 29.3513 16.9460i 1.19133 0.687816i 0.232723 0.972543i \(-0.425236\pi\)
0.958609 + 0.284727i \(0.0919030\pi\)
\(608\) 5.51893 + 1.80710i 0.223822 + 0.0732876i
\(609\) 4.34112 + 15.3885i 0.175911 + 0.623573i
\(610\) −5.77378 + 10.6891i −0.233773 + 0.432787i
\(611\) −8.28031 12.3924i −0.334986 0.501341i
\(612\) −8.52178 + 4.39005i −0.344473 + 0.177457i
\(613\) −3.31365 16.6588i −0.133837 0.672844i −0.988200 0.153168i \(-0.951053\pi\)
0.854363 0.519676i \(-0.173947\pi\)
\(614\) −39.2686 + 3.69395i −1.58475 + 0.149076i
\(615\) −18.0681 7.20705i −0.728577 0.290616i
\(616\) 27.0442 + 10.5867i 1.08964 + 0.426548i
\(617\) 2.13722 + 16.2338i 0.0860414 + 0.653550i 0.979066 + 0.203542i \(0.0652454\pi\)
−0.893025 + 0.450008i \(0.851421\pi\)
\(618\) −0.310061 + 12.9438i −0.0124725 + 0.520674i
\(619\) 29.3879 14.4925i 1.18120 0.582504i 0.257747 0.966213i \(-0.417020\pi\)
0.923454 + 0.383709i \(0.125353\pi\)
\(620\) 12.0927 3.12691i 0.485655 0.125580i
\(621\) −11.5998 + 26.0676i −0.465483 + 1.04606i
\(622\) −29.3934 + 13.1630i −1.17857 + 0.527790i
\(623\) 36.2986 9.72619i 1.45427 0.389671i
\(624\) −11.7718 44.7139i −0.471250 1.78999i
\(625\) 7.84692 + 2.10258i 0.313877 + 0.0841031i
\(626\) −14.8265 + 2.38117i −0.592585 + 0.0951707i
\(627\) 3.81067 + 5.54376i 0.152184 + 0.221397i
\(628\) 2.47857 + 20.1925i 0.0989056 + 0.805769i
\(629\) 7.57285 11.3336i 0.301949 0.451899i
\(630\) 18.8879 + 0.203864i 0.752514 + 0.00812213i
\(631\) −13.7117 + 33.1030i −0.545855 + 1.31781i 0.374681 + 0.927154i \(0.377752\pi\)
−0.920536 + 0.390657i \(0.872248\pi\)
\(632\) −31.0787 14.5770i −1.23624 0.579841i
\(633\) 22.1571 + 28.1022i 0.880664 + 1.11696i
\(634\) 8.16201 + 21.9776i 0.324155 + 0.872841i
\(635\) 8.03262 + 9.15945i 0.318765 + 0.363482i
\(636\) −39.0452 + 13.4456i −1.54824 + 0.533155i
\(637\) −0.159741 2.43718i −0.00632919 0.0965648i
\(638\) 13.2278 + 12.4985i 0.523696 + 0.494820i
\(639\) 16.8763 + 9.16018i 0.667618 + 0.362371i
\(640\) 7.06718 17.1612i 0.279355 0.678355i
\(641\) −3.87876 + 6.71822i −0.153202 + 0.265354i −0.932403 0.361421i \(-0.882292\pi\)
0.779201 + 0.626774i \(0.215625\pi\)
\(642\) −0.353139 8.50450i −0.0139373 0.335646i
\(643\) −28.2312 13.9221i −1.11333 0.549033i −0.209879 0.977727i \(-0.567307\pi\)
−0.903450 + 0.428694i \(0.858974\pi\)
\(644\) 16.3412 + 24.9265i 0.643933 + 0.982241i
\(645\) 0.692665 13.2338i 0.0272736 0.521080i
\(646\) −1.47934 + 1.78656i −0.0582039 + 0.0702913i
\(647\) −6.12604 14.7896i −0.240839 0.581438i 0.756527 0.653962i \(-0.226894\pi\)
−0.997367 + 0.0725246i \(0.976894\pi\)
\(648\) 15.6326 + 20.0903i 0.614108 + 0.789222i
\(649\) 14.4754 34.9467i 0.568208 1.37178i
\(650\) 19.2642 10.1886i 0.755603 0.399631i
\(651\) 11.9759 + 13.2988i 0.469372 + 0.521221i
\(652\) −3.37862 1.43429i −0.132317 0.0561711i
\(653\) −9.85437 29.0300i −0.385631 1.13603i −0.950466 0.310829i \(-0.899393\pi\)
0.564834 0.825204i \(-0.308940\pi\)
\(654\) 43.9672 20.3881i 1.71925 0.797240i
\(655\) −8.45641 31.5598i −0.330419 1.23314i
\(656\) −26.3238 7.55033i −1.02777 0.294791i
\(657\) 10.1219 + 34.1542i 0.394894 + 1.33248i
\(658\) 7.82302 3.50333i 0.304973 0.136574i
\(659\) −14.1797 12.4353i −0.552364 0.484410i 0.337066 0.941481i \(-0.390565\pi\)
−0.889430 + 0.457071i \(0.848899\pi\)
\(660\) 18.5715 10.8313i 0.722895 0.421609i
\(661\) 1.21262 18.5010i 0.0471654 0.719606i −0.907151 0.420806i \(-0.861747\pi\)
0.954316 0.298799i \(-0.0965861\pi\)
\(662\) −5.22841 5.63158i −0.203208 0.218878i
\(663\) 18.3403 + 2.16948i 0.712280 + 0.0842555i
\(664\) 4.30093 0.652129i 0.166909 0.0253075i
\(665\) 4.22265 1.74908i 0.163747 0.0678263i
\(666\) −33.2897 14.2119i −1.28995 0.550700i
\(667\) 3.64363 + 18.3178i 0.141082 + 0.709267i
\(668\) −25.6430 1.90656i −0.992158 0.0737672i
\(669\) 0.862069 4.65305i 0.0333295 0.179897i
\(670\) 7.81148 + 12.6855i 0.301784 + 0.490084i
\(671\) −17.1579 + 9.90610i −0.662372 + 0.382421i
\(672\) 26.4857 2.37474i 1.02171 0.0916076i
\(673\) 21.8705 + 12.6269i 0.843046 + 0.486733i 0.858299 0.513151i \(-0.171522\pi\)
−0.0152521 + 0.999884i \(0.504855\pi\)
\(674\) 0.886546 + 31.2708i 0.0341485 + 1.20451i
\(675\) −7.54859 + 9.32556i −0.290545 + 0.358941i
\(676\) −20.7989 + 59.5518i −0.799958 + 2.29046i
\(677\) −42.7571 14.5141i −1.64329 0.557821i −0.661857 0.749630i \(-0.730231\pi\)
−0.981432 + 0.191809i \(0.938565\pi\)
\(678\) −0.168516 0.436089i −0.00647180 0.0167479i
\(679\) 17.3780 + 13.3346i 0.666908 + 0.511736i
\(680\) 5.34340 + 5.13816i 0.204910 + 0.197039i
\(681\) −15.0745 35.0803i −0.577655 1.34428i
\(682\) 19.4662 + 5.99829i 0.745400 + 0.229686i
\(683\) 9.25430 + 6.18352i 0.354106 + 0.236606i 0.719881 0.694097i \(-0.244196\pi\)
−0.365776 + 0.930703i \(0.619196\pi\)
\(684\) 5.38753 + 2.98568i 0.205997 + 0.114160i
\(685\) −2.47481 + 12.4417i −0.0945577 + 0.475374i
\(686\) −25.3291 2.60681i −0.967069 0.0995286i
\(687\) −4.70765 2.63599i −0.179608 0.100569i
\(688\) −0.893694 18.6346i −0.0340718 0.710438i
\(689\) 76.8474 + 20.5912i 2.92765 + 0.784462i
\(690\) 21.9759 + 1.96989i 0.836608 + 0.0749925i
\(691\) 18.1818 20.7324i 0.691669 0.788697i −0.294285 0.955718i \(-0.595081\pi\)
0.985953 + 0.167021i \(0.0534148\pi\)
\(692\) −49.1704 6.91231i −1.86918 0.262767i
\(693\) 26.0542 + 16.4341i 0.989718 + 0.624280i
\(694\) −0.147435 + 0.234794i −0.00559655 + 0.00891266i
\(695\) 5.03661 + 6.56384i 0.191050 + 0.248981i
\(696\) 15.9456 + 4.83684i 0.604415 + 0.183340i
\(697\) 6.65876 8.67786i 0.252218 0.328697i
\(698\) −24.2915 + 9.02136i −0.919448 + 0.341463i
\(699\) 2.18483 41.7425i 0.0826377 1.57885i
\(700\) 3.92453 + 11.9030i 0.148333 + 0.449891i
\(701\) 0.100297 0.0670166i 0.00378818 0.00253118i −0.553675 0.832733i \(-0.686775\pi\)
0.557463 + 0.830202i \(0.311775\pi\)
\(702\) −3.32320 48.9296i −0.125426 1.84673i
\(703\) −8.75842 −0.330330
\(704\) 24.4882 17.7876i 0.922935 0.670394i
\(705\) 1.56151 6.15018i 0.0588098 0.231629i
\(706\) 7.73763 + 1.83995i 0.291210 + 0.0692474i
\(707\) −35.8492 17.6789i −1.34825 0.664882i
\(708\) −2.41700 34.5499i −0.0908363 1.29846i
\(709\) 9.25482 27.2638i 0.347572 1.02391i −0.622817 0.782368i \(-0.714012\pi\)
0.970389 0.241547i \(-0.0776548\pi\)
\(710\) 2.48303 14.6400i 0.0931864 0.549431i
\(711\) −29.4590 21.3972i −1.10480 0.802457i
\(712\) 11.8601 37.3240i 0.444476 1.39878i
\(713\) 12.7258 + 16.5846i 0.476587 + 0.621100i
\(714\) −2.99392 + 10.1907i −0.112045 + 0.381377i
\(715\) −41.3310 2.70898i −1.54569 0.101310i
\(716\) −13.0422 + 5.26882i −0.487410 + 0.196905i
\(717\) −28.4716 + 2.24269i −1.06329 + 0.0837547i
\(718\) 0.699946 0.569316i 0.0261218 0.0212467i
\(719\) 33.1586 33.1586i 1.23661 1.23661i 0.275228 0.961379i \(-0.411247\pi\)
0.961379 0.275228i \(-0.0887534\pi\)
\(720\) 10.7923 16.4631i 0.402205 0.613544i
\(721\) 10.1440 + 10.1440i 0.377782 + 0.377782i
\(722\) −25.2463 2.59829i −0.939570 0.0966984i
\(723\) 33.5084 23.0330i 1.24619 0.856606i
\(724\) −0.0954598 + 10.8921i −0.00354774 + 0.404803i
\(725\) −0.513649 + 7.83677i −0.0190764 + 0.291050i
\(726\) 8.11429 + 0.194374i 0.301150 + 0.00721388i
\(727\) −14.1048 + 10.8230i −0.523119 + 0.401403i −0.836285 0.548295i \(-0.815277\pi\)
0.313166 + 0.949698i \(0.398610\pi\)
\(728\) −44.8604 24.7420i −1.66264 0.917000i
\(729\) 12.2674 + 24.0522i 0.454349 + 0.890824i
\(730\) 22.4617 15.9473i 0.831346 0.590238i
\(731\) 7.05615 + 2.39524i 0.260981 + 0.0885911i
\(732\) −10.0120 + 15.1274i −0.370052 + 0.559124i
\(733\) −17.2180 + 34.9146i −0.635960 + 1.28960i 0.305409 + 0.952221i \(0.401207\pi\)
−0.941369 + 0.337378i \(0.890460\pi\)
\(734\) 10.9632 6.75095i 0.404661 0.249182i
\(735\) 0.725538 0.744885i 0.0267619 0.0274755i
\(736\) 31.0599 0.335933i 1.14488 0.0123827i
\(737\) 24.2952i 0.894924i
\(738\) −25.9107 13.1273i −0.953787 0.483222i
\(739\) −29.9641 44.8445i −1.10225 1.64963i −0.656108 0.754667i \(-0.727799\pi\)
−0.446139 0.894963i \(-0.647201\pi\)
\(740\) −2.07541 + 27.9139i −0.0762936 + 1.02614i
\(741\) −5.38808 10.5730i −0.197936 0.388407i
\(742\) −19.0660 + 41.5937i −0.699934 + 1.52695i
\(743\) −0.240884 0.184837i −0.00883718 0.00678100i 0.604333 0.796732i \(-0.293440\pi\)
−0.613171 + 0.789951i \(0.710106\pi\)
\(744\) 18.4015 3.03832i 0.674633 0.111390i
\(745\) 10.6038 8.13660i 0.388494 0.298102i
\(746\) −41.0097 + 9.37284i −1.50147 + 0.343164i
\(747\) 4.61044 + 0.180526i 0.168687 + 0.00660509i
\(748\) 3.02644 + 11.7042i 0.110658 + 0.427947i
\(749\) −7.09067 6.21835i −0.259088 0.227214i
\(750\) 27.5765 + 10.1037i 1.00695 + 0.368934i
\(751\) 4.73004 17.6528i 0.172602 0.644158i −0.824346 0.566086i \(-0.808457\pi\)
0.996948 0.0780719i \(-0.0248764\pi\)
\(752\) 1.32103 8.83471i 0.0481730 0.322169i
\(753\) −3.94203 6.62494i −0.143655 0.241426i
\(754\) −20.2566 24.9045i −0.737701 0.906967i
\(755\) −15.2453 3.03248i −0.554834 0.110363i
\(756\) 28.0636 + 2.82121i 1.02066 + 0.102607i
\(757\) −17.6445 + 26.4068i −0.641300 + 0.959773i 0.358357 + 0.933584i \(0.383337\pi\)
−0.999657 + 0.0261882i \(0.991663\pi\)
\(758\) 29.8920 15.8096i 1.08573 0.574230i
\(759\) 28.8322 + 21.5270i 1.04654 + 0.781380i
\(760\) 0.837616 4.68898i 0.0303835 0.170087i
\(761\) 24.4933 31.9203i 0.887882 1.15711i −0.0989065 0.995097i \(-0.531534\pi\)
0.986789 0.162014i \(-0.0517988\pi\)
\(762\) 10.7253 + 14.6931i 0.388537 + 0.532275i
\(763\) 17.2608 50.8486i 0.624882 1.84084i
\(764\) 0.0303130 + 0.534180i 0.00109669 + 0.0193260i
\(765\) 4.53877 + 6.42038i 0.164099 + 0.232129i
\(766\) 15.5758 + 14.7170i 0.562777 + 0.531747i
\(767\) −33.3626 + 57.7857i −1.20465 + 2.08652i
\(768\) 12.7984 24.5805i 0.461821 0.886973i
\(769\) −2.17772 3.77192i −0.0785306 0.136019i 0.824086 0.566465i \(-0.191690\pi\)
−0.902616 + 0.430446i \(0.858356\pi\)
\(770\) 5.51082 23.1750i 0.198596 0.835168i
\(771\) 0.943754 1.10514i 0.0339885 0.0398008i
\(772\) 20.1502 + 10.1575i 0.725223 + 0.365576i