Properties

Label 576.2.bl.a.11.6
Level $576$
Weight $2$
Character 576.11
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.bl (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 11.6
Character \(\chi\) \(=\) 576.11
Dual form 576.2.bl.a.419.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.38521 - 0.284957i) q^{2} +(0.799756 + 1.53636i) q^{3} +(1.83760 + 0.789449i) q^{4} +(1.54938 + 0.764070i) q^{5} +(-0.670032 - 2.35607i) q^{6} +(2.14122 + 2.79049i) q^{7} +(-2.32050 - 1.61719i) q^{8} +(-1.72078 + 2.45742i) q^{9} +O(q^{10})\) \(q+(-1.38521 - 0.284957i) q^{2} +(0.799756 + 1.53636i) q^{3} +(1.83760 + 0.789449i) q^{4} +(1.54938 + 0.764070i) q^{5} +(-0.670032 - 2.35607i) q^{6} +(2.14122 + 2.79049i) q^{7} +(-2.32050 - 1.61719i) q^{8} +(-1.72078 + 2.45742i) q^{9} +(-1.92849 - 1.49990i) q^{10} +(0.262556 + 0.230255i) q^{11} +(0.256755 + 3.45457i) q^{12} +(3.36419 + 0.220501i) q^{13} +(-2.17086 - 4.47556i) q^{14} +(0.0652421 + 2.99147i) q^{15} +(2.75354 + 2.90138i) q^{16} +(-0.546278 - 0.546278i) q^{17} +(3.08390 - 2.91369i) q^{18} +(-0.385670 + 0.577197i) q^{19} +(2.24395 + 2.62721i) q^{20} +(-2.57473 + 5.52138i) q^{21} +(-0.298081 - 0.393768i) q^{22} +(-0.643231 + 0.838275i) q^{23} +(0.628746 - 4.85846i) q^{24} +(-1.22703 - 1.59909i) q^{25} +(-4.59727 - 1.26409i) q^{26} +(-5.15168 - 0.678400i) q^{27} +(1.73175 + 6.81818i) q^{28} +(2.99031 - 8.80918i) q^{29} +(0.762067 - 4.16240i) q^{30} +(-2.64959 - 4.58922i) q^{31} +(-2.98746 - 4.80366i) q^{32} +(-0.143774 + 0.587527i) q^{33} +(0.601043 + 0.912374i) q^{34} +(1.18543 + 5.95957i) q^{35} +(-5.10211 + 3.15728i) q^{36} +(-1.20183 + 0.803037i) q^{37} +(0.698710 - 0.689638i) q^{38} +(2.35177 + 5.34495i) q^{39} +(-2.35969 - 4.27866i) q^{40} +(-2.61841 - 2.00917i) q^{41} +(5.13990 - 6.91457i) q^{42} +(6.94890 + 6.09402i) q^{43} +(0.300697 + 0.630391i) q^{44} +(-4.54379 + 2.49268i) q^{45} +(1.12988 - 0.977892i) q^{46} +(1.19711 + 4.46769i) q^{47} +(-2.25540 + 6.55082i) q^{48} +(-1.39028 + 5.18860i) q^{49} +(1.24401 + 2.56473i) q^{50} +(0.402389 - 1.27617i) q^{51} +(6.00797 + 3.06105i) q^{52} +(-12.0312 - 2.39315i) q^{53} +(6.94283 + 2.40773i) q^{54} +(0.230868 + 0.557364i) q^{55} +(-0.455944 - 9.93807i) q^{56} +(-1.19522 - 0.130911i) q^{57} +(-6.65244 + 11.3504i) q^{58} +(1.18698 - 2.40697i) q^{59} +(-2.24173 + 5.54863i) q^{60} +(-3.62483 + 10.6784i) q^{61} +(2.36250 + 7.11204i) q^{62} +(-10.5420 + 0.460046i) q^{63} +(2.76941 + 7.50536i) q^{64} +(5.04394 + 2.91212i) q^{65} +(0.366576 - 0.772877i) q^{66} +(2.87939 - 2.52515i) q^{67} +(-0.572581 - 1.43510i) q^{68} +(-1.80232 - 0.317817i) q^{69} +(0.0561518 - 8.59304i) q^{70} +(6.40675 + 2.65376i) q^{71} +(7.96718 - 2.91961i) q^{72} +(11.1908 - 4.63539i) q^{73} +(1.89362 - 0.769903i) q^{74} +(1.47546 - 3.16404i) q^{75} +(-1.16438 + 0.756189i) q^{76} +(-0.0803356 + 1.22568i) q^{77} +(-1.73460 - 8.07401i) q^{78} +(2.54990 + 9.51636i) q^{79} +(2.04942 + 6.59925i) q^{80} +(-3.07782 - 8.45737i) q^{81} +(3.05451 + 3.52926i) q^{82} +(-6.39274 + 3.15255i) q^{83} +(-9.09018 + 8.11346i) q^{84} +(-0.428998 - 1.26379i) q^{85} +(-7.88913 - 10.4216i) q^{86} +(15.9256 - 2.45100i) q^{87} +(-0.236894 - 0.958908i) q^{88} +(9.72288 + 4.02735i) q^{89} +(7.00440 - 2.15810i) q^{90} +(6.58816 + 9.85988i) q^{91} +(-1.84378 + 1.03262i) q^{92} +(4.93166 - 7.74097i) q^{93} +(-0.385151 - 6.52980i) q^{94} +(-1.03857 + 0.599618i) q^{95} +(4.99089 - 8.43155i) q^{96} +(-1.16602 - 0.673203i) q^{97} +(3.40435 - 6.79111i) q^{98} +(-1.01763 + 0.248990i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9} - 32 q^{10} - 24 q^{11} - 16 q^{12} - 8 q^{13} - 24 q^{14} - 16 q^{15} - 8 q^{16} - 16 q^{18} - 32 q^{19} - 24 q^{20} - 16 q^{21} - 8 q^{22} - 24 q^{23} - 96 q^{24} - 8 q^{25} - 16 q^{27} - 32 q^{28} - 24 q^{29} + 64 q^{30} - 16 q^{31} - 24 q^{32} - 8 q^{34} + 64 q^{36} - 32 q^{37} - 24 q^{38} - 16 q^{39} - 8 q^{40} - 24 q^{41} - 96 q^{42} - 8 q^{43} - 16 q^{45} - 32 q^{46} - 24 q^{47} - 16 q^{48} - 8 q^{49} - 24 q^{50} - 16 q^{51} - 8 q^{52} - 16 q^{54} - 32 q^{55} - 24 q^{56} - 16 q^{57} + 64 q^{58} - 24 q^{59} - 16 q^{60} - 8 q^{61} - 32 q^{64} - 48 q^{65} - 8 q^{67} - 24 q^{68} - 16 q^{69} - 8 q^{70} - 16 q^{72} - 32 q^{73} - 24 q^{74} - 16 q^{75} - 56 q^{76} - 24 q^{77} - 40 q^{78} - 8 q^{79} - 16 q^{81} - 32 q^{82} - 24 q^{83} - 128 q^{84} - 8 q^{85} - 24 q^{86} - 16 q^{87} - 8 q^{88} - 160 q^{90} - 32 q^{91} - 480 q^{92} + 8 q^{93} - 8 q^{94} - 48 q^{95} - 152 q^{96} - 16 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{5}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.38521 0.284957i −0.979490 0.201495i
\(3\) 0.799756 + 1.53636i 0.461739 + 0.887016i
\(4\) 1.83760 + 0.789449i 0.918800 + 0.394725i
\(5\) 1.54938 + 0.764070i 0.692904 + 0.341703i 0.754409 0.656404i \(-0.227923\pi\)
−0.0615050 + 0.998107i \(0.519590\pi\)
\(6\) −0.670032 2.35607i −0.273539 0.961861i
\(7\) 2.14122 + 2.79049i 0.809304 + 1.05471i 0.997365 + 0.0725479i \(0.0231130\pi\)
−0.188061 + 0.982157i \(0.560220\pi\)
\(8\) −2.32050 1.61719i −0.820419 0.571762i
\(9\) −1.72078 + 2.45742i −0.573594 + 0.819140i
\(10\) −1.92849 1.49990i −0.609841 0.474311i
\(11\) 0.262556 + 0.230255i 0.0791635 + 0.0694245i 0.698013 0.716085i \(-0.254068\pi\)
−0.618850 + 0.785509i \(0.712401\pi\)
\(12\) 0.256755 + 3.45457i 0.0741188 + 0.997249i
\(13\) 3.36419 + 0.220501i 0.933060 + 0.0611560i 0.524345 0.851506i \(-0.324310\pi\)
0.408715 + 0.912662i \(0.365977\pi\)
\(14\) −2.17086 4.47556i −0.580187 1.19614i
\(15\) 0.0652421 + 2.99147i 0.0168454 + 0.772395i
\(16\) 2.75354 + 2.90138i 0.688385 + 0.725345i
\(17\) −0.546278 0.546278i −0.132492 0.132492i 0.637751 0.770243i \(-0.279865\pi\)
−0.770243 + 0.637751i \(0.779865\pi\)
\(18\) 3.08390 2.91369i 0.726882 0.686762i
\(19\) −0.385670 + 0.577197i −0.0884789 + 0.132418i −0.873069 0.487597i \(-0.837874\pi\)
0.784590 + 0.620015i \(0.212874\pi\)
\(20\) 2.24395 + 2.62721i 0.501762 + 0.587463i
\(21\) −2.57473 + 5.52138i −0.561853 + 1.20486i
\(22\) −0.298081 0.393768i −0.0635511 0.0839516i
\(23\) −0.643231 + 0.838275i −0.134123 + 0.174792i −0.855586 0.517660i \(-0.826803\pi\)
0.721463 + 0.692453i \(0.243470\pi\)
\(24\) 0.628746 4.85846i 0.128342 0.991730i
\(25\) −1.22703 1.59909i −0.245406 0.319819i
\(26\) −4.59727 1.26409i −0.901599 0.247908i
\(27\) −5.15168 0.678400i −0.991441 0.130558i
\(28\) 1.73175 + 6.81818i 0.327270 + 1.28851i
\(29\) 2.99031 8.80918i 0.555287 1.63582i −0.199533 0.979891i \(-0.563942\pi\)
0.754820 0.655932i \(-0.227724\pi\)
\(30\) 0.762067 4.16240i 0.139134 0.759947i
\(31\) −2.64959 4.58922i −0.475880 0.824248i 0.523738 0.851879i \(-0.324537\pi\)
−0.999618 + 0.0276309i \(0.991204\pi\)
\(32\) −2.98746 4.80366i −0.528112 0.849174i
\(33\) −0.143774 + 0.587527i −0.0250278 + 0.102275i
\(34\) 0.601043 + 0.912374i 0.103078 + 0.156471i
\(35\) 1.18543 + 5.95957i 0.200375 + 1.00735i
\(36\) −5.10211 + 3.15728i −0.850352 + 0.526214i
\(37\) −1.20183 + 0.803037i −0.197580 + 0.132019i −0.650425 0.759571i \(-0.725409\pi\)
0.452845 + 0.891589i \(0.350409\pi\)
\(38\) 0.698710 0.689638i 0.113346 0.111874i
\(39\) 2.35177 + 5.34495i 0.376584 + 0.855877i
\(40\) −2.35969 4.27866i −0.373100 0.676516i
\(41\) −2.61841 2.00917i −0.408926 0.313780i 0.383734 0.923444i \(-0.374638\pi\)
−0.792660 + 0.609663i \(0.791305\pi\)
\(42\) 5.13990 6.91457i 0.793103 1.06694i
\(43\) 6.94890 + 6.09402i 1.05970 + 0.929329i 0.997634 0.0687429i \(-0.0218988\pi\)
0.0620626 + 0.998072i \(0.480232\pi\)
\(44\) 0.300697 + 0.630391i 0.0453318 + 0.0950350i
\(45\) −4.54379 + 2.49268i −0.677348 + 0.371587i
\(46\) 1.12988 0.977892i 0.166592 0.144182i
\(47\) 1.19711 + 4.46769i 0.174617 + 0.651680i 0.996617 + 0.0821914i \(0.0261919\pi\)
−0.822000 + 0.569488i \(0.807141\pi\)
\(48\) −2.25540 + 6.55082i −0.325539 + 0.945529i
\(49\) −1.39028 + 5.18860i −0.198611 + 0.741228i
\(50\) 1.24401 + 2.56473i 0.175930 + 0.362707i
\(51\) 0.402389 1.27617i 0.0563457 0.178699i
\(52\) 6.00797 + 3.06105i 0.833155 + 0.424492i
\(53\) −12.0312 2.39315i −1.65261 0.328724i −0.721208 0.692719i \(-0.756413\pi\)
−0.931401 + 0.363994i \(0.881413\pi\)
\(54\) 6.94283 + 2.40773i 0.944799 + 0.327651i
\(55\) 0.230868 + 0.557364i 0.0311302 + 0.0751549i
\(56\) −0.455944 9.93807i −0.0609281 1.32803i
\(57\) −1.19522 0.130911i −0.158311 0.0173396i
\(58\) −6.65244 + 11.3504i −0.873508 + 1.49038i
\(59\) 1.18698 2.40697i 0.154532 0.313360i −0.805815 0.592168i \(-0.798272\pi\)
0.960347 + 0.278807i \(0.0899390\pi\)
\(60\) −2.24173 + 5.54863i −0.289406 + 0.716325i
\(61\) −3.62483 + 10.6784i −0.464112 + 1.36723i 0.423189 + 0.906041i \(0.360911\pi\)
−0.887302 + 0.461190i \(0.847423\pi\)
\(62\) 2.36250 + 7.11204i 0.300038 + 0.903230i
\(63\) −10.5420 + 0.460046i −1.32816 + 0.0579603i
\(64\) 2.76941 + 7.50536i 0.346176 + 0.938170i
\(65\) 5.04394 + 2.91212i 0.625624 + 0.361204i
\(66\) 0.366576 0.772877i 0.0451224 0.0951346i
\(67\) 2.87939 2.52515i 0.351773 0.308497i −0.465163 0.885225i \(-0.654004\pi\)
0.816936 + 0.576728i \(0.195671\pi\)
\(68\) −0.572581 1.43510i −0.0694357 0.174031i
\(69\) −1.80232 0.317817i −0.216973 0.0382607i
\(70\) 0.0561518 8.59304i 0.00671142 1.02706i
\(71\) 6.40675 + 2.65376i 0.760341 + 0.314944i 0.728953 0.684564i \(-0.240007\pi\)
0.0313880 + 0.999507i \(0.490007\pi\)
\(72\) 7.96718 2.91961i 0.938941 0.344079i
\(73\) 11.1908 4.63539i 1.30979 0.542532i 0.384965 0.922931i \(-0.374213\pi\)
0.924822 + 0.380399i \(0.124213\pi\)
\(74\) 1.89362 0.769903i 0.220128 0.0894994i
\(75\) 1.47546 3.16404i 0.170371 0.365351i
\(76\) −1.16438 + 0.756189i −0.133563 + 0.0867408i
\(77\) −0.0803356 + 1.22568i −0.00915509 + 0.139680i
\(78\) −1.73460 8.07401i −0.196405 0.914202i
\(79\) 2.54990 + 9.51636i 0.286886 + 1.07067i 0.947450 + 0.319904i \(0.103651\pi\)
−0.660564 + 0.750770i \(0.729683\pi\)
\(80\) 2.04942 + 6.59925i 0.229133 + 0.737818i
\(81\) −3.07782 8.45737i −0.341980 0.939707i
\(82\) 3.05451 + 3.52926i 0.337314 + 0.389741i
\(83\) −6.39274 + 3.15255i −0.701694 + 0.346037i −0.757890 0.652383i \(-0.773770\pi\)
0.0561958 + 0.998420i \(0.482103\pi\)
\(84\) −9.09018 + 8.11346i −0.991820 + 0.885251i
\(85\) −0.428998 1.26379i −0.0465314 0.137077i
\(86\) −7.88913 10.4216i −0.850707 1.12379i
\(87\) 15.9256 2.45100i 1.70740 0.262775i
\(88\) −0.236894 0.958908i −0.0252530 0.102220i
\(89\) 9.72288 + 4.02735i 1.03062 + 0.426898i 0.832937 0.553367i \(-0.186657\pi\)
0.197686 + 0.980265i \(0.436657\pi\)
\(90\) 7.00440 2.15810i 0.738328 0.227483i
\(91\) 6.58816 + 9.85988i 0.690627 + 1.03360i
\(92\) −1.84378 + 1.03262i −0.192227 + 0.107658i
\(93\) 4.93166 7.74097i 0.511389 0.802701i
\(94\) −0.385151 6.52980i −0.0397253 0.673498i
\(95\) −1.03857 + 0.599618i −0.106555 + 0.0615196i
\(96\) 4.99089 8.43155i 0.509381 0.860541i
\(97\) −1.16602 0.673203i −0.118392 0.0683534i 0.439635 0.898177i \(-0.355108\pi\)
−0.558026 + 0.829823i \(0.688441\pi\)
\(98\) 3.40435 6.79111i 0.343892 0.686006i
\(99\) −1.01763 + 0.248990i −0.102276 + 0.0250245i
\(100\) −0.992382 3.90717i −0.0992382 0.390717i
\(101\) −18.8692 + 1.23675i −1.87755 + 0.123061i −0.960948 0.276730i \(-0.910749\pi\)
−0.916606 + 0.399791i \(0.869083\pi\)
\(102\) −0.921045 + 1.65309i −0.0911970 + 0.163681i
\(103\) −2.40034 18.2324i −0.236513 1.79649i −0.537919 0.842997i \(-0.680789\pi\)
0.301406 0.953496i \(-0.402544\pi\)
\(104\) −7.45001 5.95220i −0.730534 0.583662i
\(105\) −8.20797 + 6.58745i −0.801016 + 0.642869i
\(106\) 15.9837 + 6.74338i 1.55248 + 0.654975i
\(107\) 8.23467 + 1.63798i 0.796075 + 0.158349i 0.576340 0.817210i \(-0.304480\pi\)
0.219736 + 0.975559i \(0.429480\pi\)
\(108\) −8.93115 5.31361i −0.859401 0.511303i
\(109\) −14.4864 9.67952i −1.38755 0.927129i −0.999986 0.00528551i \(-0.998318\pi\)
−0.387561 0.921844i \(-0.626682\pi\)
\(110\) −0.160975 0.837852i −0.0153484 0.0798860i
\(111\) −2.19492 1.20421i −0.208333 0.114298i
\(112\) −2.20034 + 13.8962i −0.207913 + 1.31307i
\(113\) 10.3023 + 2.76048i 0.969154 + 0.259684i 0.708471 0.705740i \(-0.249385\pi\)
0.260684 + 0.965424i \(0.416052\pi\)
\(114\) 1.61833 + 0.521926i 0.151570 + 0.0488828i
\(115\) −1.63711 + 0.807334i −0.152661 + 0.0752843i
\(116\) 12.4494 13.8270i 1.15590 1.28381i
\(117\) −6.33091 + 7.88780i −0.585293 + 0.729227i
\(118\) −2.33010 + 2.99591i −0.214503 + 0.275796i
\(119\) 0.354683 2.69408i 0.0325137 0.246966i
\(120\) 4.68638 7.04721i 0.427806 0.643319i
\(121\) −1.41987 10.7850i −0.129079 0.980453i
\(122\) 8.06404 13.7589i 0.730083 1.24567i
\(123\) 0.992722 5.62966i 0.0895108 0.507609i
\(124\) −1.24592 10.5249i −0.111887 0.945161i
\(125\) −2.36444 11.8869i −0.211482 1.06319i
\(126\) 14.7339 + 2.36675i 1.31260 + 0.210847i
\(127\) 2.95640i 0.262338i −0.991360 0.131169i \(-0.958127\pi\)
0.991360 0.131169i \(-0.0418730\pi\)
\(128\) −1.69750 11.1856i −0.150039 0.988680i
\(129\) −3.80517 + 15.5497i −0.335026 + 1.36908i
\(130\) −6.15708 5.47120i −0.540011 0.479856i
\(131\) 6.14294 + 7.00468i 0.536711 + 0.612002i 0.955106 0.296263i \(-0.0957406\pi\)
−0.418395 + 0.908265i \(0.637407\pi\)
\(132\) −0.728021 + 0.966137i −0.0633661 + 0.0840914i
\(133\) −2.43646 + 0.159694i −0.211268 + 0.0138473i
\(134\) −4.70811 + 2.67736i −0.406718 + 0.231289i
\(135\) −7.46357 4.98734i −0.642362 0.429242i
\(136\) 0.384202 + 2.15107i 0.0329451 + 0.184453i
\(137\) 7.58811 + 0.998993i 0.648296 + 0.0853498i 0.447501 0.894284i \(-0.352314\pi\)
0.200795 + 0.979633i \(0.435647\pi\)
\(138\) 2.40602 + 0.953825i 0.204814 + 0.0811950i
\(139\) −1.23430 3.63613i −0.104692 0.308413i 0.881944 0.471355i \(-0.156235\pi\)
−0.986636 + 0.162942i \(0.947902\pi\)
\(140\) −2.52643 + 11.8871i −0.213522 + 1.00465i
\(141\) −5.90657 + 5.41225i −0.497423 + 0.455794i
\(142\) −8.11847 5.50166i −0.681286 0.461689i
\(143\) 0.832516 + 0.832516i 0.0696185 + 0.0696185i
\(144\) −11.8682 + 1.77396i −0.989013 + 0.147830i
\(145\) 11.3640 11.3640i 0.943726 0.943726i
\(146\) −16.8225 + 3.23208i −1.39224 + 0.267489i
\(147\) −9.08342 + 2.01364i −0.749187 + 0.166082i
\(148\) −2.84244 + 0.526877i −0.233647 + 0.0433090i
\(149\) −13.4455 + 4.56413i −1.10150 + 0.373908i −0.812228 0.583340i \(-0.801745\pi\)
−0.289269 + 0.957248i \(0.593412\pi\)
\(150\) −2.94543 + 3.96240i −0.240493 + 0.323529i
\(151\) 0.106591 0.809642i 0.00867429 0.0658877i −0.986560 0.163398i \(-0.947755\pi\)
0.995235 + 0.0975102i \(0.0310879\pi\)
\(152\) 1.82838 0.715682i 0.148301 0.0580494i
\(153\) 2.28246 0.402409i 0.184526 0.0325328i
\(154\) 0.460549 1.67493i 0.0371121 0.134970i
\(155\) −0.598735 9.13493i −0.0480915 0.733735i
\(156\) 0.102037 + 11.6785i 0.00816948 + 0.935026i
\(157\) 15.8162 13.8704i 1.26227 1.10698i 0.272827 0.962063i \(-0.412041\pi\)
0.989444 0.144919i \(-0.0462921\pi\)
\(158\) −0.820388 13.9087i −0.0652666 1.10652i
\(159\) −5.94527 20.3981i −0.471491 1.61768i
\(160\) −0.958377 9.72532i −0.0757663 0.768854i
\(161\) −3.71649 −0.292901
\(162\) 1.85343 + 12.5923i 0.145619 + 0.989341i
\(163\) 1.15713 0.230168i 0.0906337 0.0180282i −0.149565 0.988752i \(-0.547787\pi\)
0.240199 + 0.970724i \(0.422787\pi\)
\(164\) −3.22544 5.75916i −0.251865 0.449715i
\(165\) −0.671672 + 0.800450i −0.0522896 + 0.0623149i
\(166\) 9.75361 2.54528i 0.757027 0.197552i
\(167\) 13.2807 1.74844i 1.02769 0.135298i 0.402218 0.915544i \(-0.368239\pi\)
0.625473 + 0.780246i \(0.284906\pi\)
\(168\) 14.9038 8.64852i 1.14985 0.667248i
\(169\) −1.61960 0.213225i −0.124585 0.0164019i
\(170\) 0.234126 + 1.87285i 0.0179567 + 0.143641i
\(171\) −0.754759 1.94098i −0.0577179 0.148431i
\(172\) 7.95837 + 16.6842i 0.606820 + 1.27216i
\(173\) 1.40917 + 2.85752i 0.107137 + 0.217253i 0.943839 0.330406i \(-0.107186\pi\)
−0.836702 + 0.547659i \(0.815519\pi\)
\(174\) −22.7586 1.14295i −1.72533 0.0866469i
\(175\) 1.83492 6.84801i 0.138707 0.517661i
\(176\) 0.0548995 + 1.39579i 0.00413821 + 0.105212i
\(177\) 4.64726 0.101354i 0.349309 0.00761821i
\(178\) −12.3206 8.34931i −0.923467 0.625808i
\(179\) 5.90781 8.84167i 0.441571 0.660857i −0.542208 0.840244i \(-0.682411\pi\)
0.983779 + 0.179387i \(0.0574115\pi\)
\(180\) −10.3175 + 0.993459i −0.769022 + 0.0740480i
\(181\) −1.42674 + 7.17271i −0.106049 + 0.533144i 0.890840 + 0.454318i \(0.150117\pi\)
−0.996888 + 0.0788256i \(0.974883\pi\)
\(182\) −6.31633 15.5353i −0.468197 1.15155i
\(183\) −19.3048 + 2.97109i −1.42705 + 0.219629i
\(184\) 2.84826 0.904989i 0.209977 0.0667167i
\(185\) −2.47567 + 0.325928i −0.182015 + 0.0239627i
\(186\) −9.03721 + 9.31753i −0.662640 + 0.683195i
\(187\) −0.0176451 0.269212i −0.00129033 0.0196867i
\(188\) −1.32720 + 9.15488i −0.0967959 + 0.667688i
\(189\) −9.13779 15.8283i −0.664676 1.15134i
\(190\) 1.60950 0.534648i 0.116765 0.0387875i
\(191\) −1.41904 + 2.45785i −0.102678 + 0.177844i −0.912787 0.408435i \(-0.866075\pi\)
0.810109 + 0.586279i \(0.199408\pi\)
\(192\) −9.31605 + 10.2573i −0.672328 + 0.740253i
\(193\) −8.06522 13.9694i −0.580547 1.00554i −0.995414 0.0956556i \(-0.969505\pi\)
0.414867 0.909882i \(-0.363828\pi\)
\(194\) 1.42335 + 1.26479i 0.102190 + 0.0908068i
\(195\) −0.440135 + 10.0783i −0.0315187 + 0.721720i
\(196\) −6.65091 + 8.43700i −0.475065 + 0.602643i
\(197\) 1.04330 0.697108i 0.0743318 0.0496669i −0.517849 0.855472i \(-0.673267\pi\)
0.592181 + 0.805805i \(0.298267\pi\)
\(198\) 1.48059 0.0549213i 0.105221 0.00390309i
\(199\) 5.10308 12.3199i 0.361748 0.873337i −0.633297 0.773909i \(-0.718299\pi\)
0.995045 0.0994277i \(-0.0317012\pi\)
\(200\) 0.261280 + 5.69503i 0.0184753 + 0.402699i
\(201\) 6.18234 + 2.40426i 0.436069 + 0.169583i
\(202\) 26.4902 + 3.66375i 1.86384 + 0.257780i
\(203\) 30.9848 10.5179i 2.17471 0.738214i
\(204\) 1.74690 2.02742i 0.122307 0.141948i
\(205\) −2.52176 5.11363i −0.176127 0.357151i
\(206\) −1.87048 + 25.9397i −0.130323 + 1.80730i
\(207\) −0.953133 3.02318i −0.0662473 0.210125i
\(208\) 8.62369 + 10.3680i 0.597945 + 0.718889i
\(209\) −0.234162 + 0.0627436i −0.0161974 + 0.00434007i
\(210\) 13.2469 6.78606i 0.914121 0.468283i
\(211\) −21.1233 1.38449i −1.45419 0.0953124i −0.682300 0.731072i \(-0.739020\pi\)
−0.771887 + 0.635760i \(0.780687\pi\)
\(212\) −20.2192 13.8957i −1.38866 0.954357i
\(213\) 1.04671 + 11.9654i 0.0717193 + 0.819856i
\(214\) −10.9400 4.61547i −0.747841 0.315507i
\(215\) 6.11023 + 14.7514i 0.416714 + 1.00604i
\(216\) 10.8573 + 9.90545i 0.738749 + 0.673981i
\(217\) 7.13282 17.2202i 0.484208 1.16898i
\(218\) 17.3084 + 17.5361i 1.17228 + 1.18770i
\(219\) 16.0715 + 13.4859i 1.08601 + 0.911294i
\(220\) −0.0157682 + 1.20647i −0.00106309 + 0.0813402i
\(221\) −1.71733 1.95824i −0.115520 0.131725i
\(222\) 2.69728 + 2.29353i 0.181029 + 0.153932i
\(223\) −4.21111 + 7.29386i −0.281997 + 0.488433i −0.971876 0.235491i \(-0.924330\pi\)
0.689880 + 0.723924i \(0.257663\pi\)
\(224\) 7.00775 18.6221i 0.468225 1.24424i
\(225\) 6.04109 0.263630i 0.402739 0.0175753i
\(226\) −13.4841 6.75954i −0.896952 0.449638i
\(227\) 18.4673 + 6.26879i 1.22572 + 0.416074i 0.857896 0.513823i \(-0.171771\pi\)
0.367819 + 0.929897i \(0.380105\pi\)
\(228\) −2.09299 1.18413i −0.138612 0.0784209i
\(229\) 13.2801 + 6.54901i 0.877573 + 0.432771i 0.824528 0.565821i \(-0.191441\pi\)
0.0530448 + 0.998592i \(0.483107\pi\)
\(230\) 2.49779 0.651819i 0.164700 0.0429796i
\(231\) −1.94734 + 0.856824i −0.128125 + 0.0563749i
\(232\) −21.1851 + 15.6058i −1.39087 + 1.02457i
\(233\) −3.01202 + 1.24762i −0.197324 + 0.0817343i −0.479157 0.877729i \(-0.659058\pi\)
0.281833 + 0.959463i \(0.409058\pi\)
\(234\) 11.0173 9.12220i 0.720224 0.596337i
\(235\) −1.55884 + 7.83683i −0.101688 + 0.511219i
\(236\) 4.08138 3.48598i 0.265675 0.226918i
\(237\) −12.5812 + 11.5283i −0.817238 + 0.748844i
\(238\) −1.25901 + 3.63079i −0.0816093 + 0.235349i
\(239\) 13.2498 + 3.55027i 0.857058 + 0.229648i 0.660483 0.750841i \(-0.270351\pi\)
0.196575 + 0.980489i \(0.437018\pi\)
\(240\) −8.49975 + 8.42643i −0.548657 + 0.543924i
\(241\) −2.71219 + 0.726729i −0.174707 + 0.0468127i −0.345112 0.938561i \(-0.612159\pi\)
0.170405 + 0.985374i \(0.445492\pi\)
\(242\) −1.10644 + 15.3440i −0.0711248 + 0.986352i
\(243\) 10.5320 11.4925i 0.675630 0.737241i
\(244\) −15.0911 + 16.7610i −0.966106 + 1.07301i
\(245\) −6.11853 + 6.97684i −0.390898 + 0.445734i
\(246\) −2.97934 + 7.51536i −0.189956 + 0.479162i
\(247\) −1.42474 + 1.85676i −0.0906542 + 0.118143i
\(248\) −1.27327 + 14.9342i −0.0808527 + 0.948320i
\(249\) −9.95607 7.30025i −0.630940 0.462635i
\(250\) −0.111999 + 17.1395i −0.00708347 + 1.08400i
\(251\) 13.6831 + 20.4781i 0.863667 + 1.29257i 0.954957 + 0.296745i \(0.0959010\pi\)
−0.0912898 + 0.995824i \(0.529099\pi\)
\(252\) −19.7351 7.47696i −1.24319 0.471004i
\(253\) −0.361901 + 0.0719866i −0.0227525 + 0.00452576i
\(254\) −0.842446 + 4.09522i −0.0528597 + 0.256957i
\(255\) 1.59854 1.66982i 0.100104 0.104568i
\(256\) −0.836032 + 15.9781i −0.0522520 + 0.998634i
\(257\) 21.5754 12.4565i 1.34583 0.777018i 0.358178 0.933653i \(-0.383398\pi\)
0.987656 + 0.156636i \(0.0500648\pi\)
\(258\) 9.70194 20.4553i 0.604017 1.27349i
\(259\) −4.81425 1.63422i −0.299143 0.101545i
\(260\) 6.96977 + 9.33325i 0.432247 + 0.578823i
\(261\) 16.5022 + 22.5071i 1.02146 + 1.39316i
\(262\) −6.51321 11.4534i −0.402388 0.707594i
\(263\) 1.31408 1.00833i 0.0810295 0.0621761i −0.567452 0.823406i \(-0.692071\pi\)
0.648482 + 0.761230i \(0.275404\pi\)
\(264\) 1.28377 1.13085i 0.0790104 0.0695987i
\(265\) −16.8123 12.9006i −1.03277 0.792476i
\(266\) 3.42051 + 0.473078i 0.209725 + 0.0290063i
\(267\) 1.58848 + 18.1587i 0.0972137 + 1.11129i
\(268\) 7.28464 2.36709i 0.444980 0.144593i
\(269\) −2.80307 1.87295i −0.170906 0.114196i 0.467175 0.884165i \(-0.345272\pi\)
−0.638082 + 0.769969i \(0.720272\pi\)
\(270\) 8.91741 + 9.03530i 0.542696 + 0.549871i
\(271\) 2.17409 2.17409i 0.132067 0.132067i −0.637983 0.770050i \(-0.720231\pi\)
0.770050 + 0.637983i \(0.220231\pi\)
\(272\) 0.0807625 3.08916i 0.00489695 0.187308i
\(273\) −9.87937 + 18.0073i −0.597927 + 1.08985i
\(274\) −10.2264 3.54610i −0.617801 0.214228i
\(275\) 0.0460364 0.702380i 0.00277610 0.0423551i
\(276\) −3.06104 2.00686i −0.184253 0.120799i
\(277\) 10.6505 12.1446i 0.639928 0.729698i −0.337416 0.941356i \(-0.609553\pi\)
0.977344 + 0.211658i \(0.0678862\pi\)
\(278\) 0.673621 + 5.38852i 0.0404011 + 0.323182i
\(279\) 15.8370 + 1.38590i 0.948137 + 0.0829717i
\(280\) 6.88695 15.7462i 0.411574 0.941017i
\(281\) −10.7360 + 8.23804i −0.640458 + 0.491440i −0.877196 0.480133i \(-0.840588\pi\)
0.236738 + 0.971574i \(0.423922\pi\)
\(282\) 9.72408 5.81398i 0.579060 0.346217i
\(283\) −12.7046 + 25.7624i −0.755211 + 1.53142i 0.0893761 + 0.995998i \(0.471513\pi\)
−0.844587 + 0.535418i \(0.820154\pi\)
\(284\) 9.67802 + 9.93435i 0.574285 + 0.589495i
\(285\) −1.75183 1.11606i −0.103769 0.0661100i
\(286\) −0.915977 1.39044i −0.0541628 0.0822184i
\(287\) 11.6087i 0.685240i
\(288\) 16.9454 + 0.924614i 0.998515 + 0.0544834i
\(289\) 16.4032i 0.964892i
\(290\) −18.9797 + 12.5032i −1.11453 + 0.734214i
\(291\) 0.101747 2.32982i 0.00596453 0.136577i
\(292\) 24.2237 + 0.316596i 1.41758 + 0.0185274i
\(293\) −5.22633 + 10.5980i −0.305326 + 0.619139i −0.994415 0.105537i \(-0.966344\pi\)
0.689090 + 0.724676i \(0.258011\pi\)
\(294\) 13.1562 0.200930i 0.767286 0.0117185i
\(295\) 3.67818 2.82237i 0.214152 0.164325i
\(296\) 4.08751 + 0.0801394i 0.237581 + 0.00465801i
\(297\) −1.19640 1.36432i −0.0694220 0.0791657i
\(298\) 19.9254 2.49088i 1.15425 0.144293i
\(299\) −2.34879 + 2.67829i −0.135834 + 0.154889i
\(300\) 5.20914 4.64943i 0.300750 0.268435i
\(301\) −2.12619 + 32.4394i −0.122552 + 1.86978i
\(302\) −0.378364 + 1.09115i −0.0217724 + 0.0627885i
\(303\) −16.9908 28.0007i −0.976097 1.60860i
\(304\) −2.73663 + 0.470357i −0.156956 + 0.0269768i
\(305\) −13.7753 + 13.7753i −0.788772 + 0.788772i
\(306\) −3.27635 0.0929832i −0.187296 0.00531550i
\(307\) −17.9397 11.9869i −1.02387 0.684129i −0.0741576 0.997247i \(-0.523627\pi\)
−0.949715 + 0.313117i \(0.898627\pi\)
\(308\) −1.11524 + 2.18889i −0.0635467 + 0.124724i
\(309\) 26.0918 18.2693i 1.48431 1.03930i
\(310\) −1.77369 + 12.8244i −0.100739 + 0.728376i
\(311\) −19.3850 14.8746i −1.09922 0.843463i −0.110598 0.993865i \(-0.535277\pi\)
−0.988625 + 0.150402i \(0.951943\pi\)
\(312\) 3.18652 16.2062i 0.180401 0.917494i
\(313\) 22.0992 16.9573i 1.24912 0.958485i 0.249172 0.968459i \(-0.419842\pi\)
0.999950 + 0.00997431i \(0.00317497\pi\)
\(314\) −25.8612 + 14.7065i −1.45943 + 0.829936i
\(315\) −16.6850 7.34202i −0.940095 0.413676i
\(316\) −2.82698 + 19.5003i −0.159030 + 1.09698i
\(317\) −27.1852 9.22812i −1.52687 0.518303i −0.573268 0.819368i \(-0.694324\pi\)
−0.953604 + 0.301065i \(0.902658\pi\)
\(318\) 2.42285 + 29.9498i 0.135867 + 1.67950i
\(319\) 2.81348 1.62436i 0.157525 0.0909469i
\(320\) −1.44375 + 13.7447i −0.0807080 + 0.768351i
\(321\) 4.06921 + 13.9614i 0.227121 + 0.779248i
\(322\) 5.14811 + 1.05904i 0.286893 + 0.0590180i
\(323\) 0.525993 0.104627i 0.0292670 0.00582158i
\(324\) 1.02086 17.9710i 0.0567146 0.998390i
\(325\) −3.77536 5.65022i −0.209419 0.313418i
\(326\) −1.66846 0.0109027i −0.0924074 0.000603842i
\(327\) 3.28559 29.9975i 0.181694 1.65887i
\(328\) 2.82679 + 8.89674i 0.156084 + 0.491240i
\(329\) −9.90375 + 12.9068i −0.546012 + 0.711576i
\(330\) 1.15850 0.917392i 0.0637732 0.0505007i
\(331\) −15.0717 + 17.1860i −0.828417 + 0.944628i −0.999172 0.0406853i \(-0.987046\pi\)
0.170755 + 0.985313i \(0.445379\pi\)
\(332\) −14.2361 + 0.746381i −0.781306 + 0.0409630i
\(333\) 0.0946885 4.33525i 0.00518890 0.237570i
\(334\) −18.8947 1.36248i −1.03387 0.0745516i
\(335\) 6.39066 1.71237i 0.349159 0.0935569i
\(336\) −23.1093 + 7.73306i −1.26071 + 0.421873i
\(337\) 19.2199 + 5.14996i 1.04698 + 0.280536i 0.741001 0.671504i \(-0.234351\pi\)
0.305974 + 0.952040i \(0.401018\pi\)
\(338\) 2.18272 + 0.756877i 0.118725 + 0.0411687i
\(339\) 3.99820 + 18.0356i 0.217153 + 0.979562i
\(340\) 0.209370 2.66101i 0.0113547 0.144313i
\(341\) 0.361027 1.81501i 0.0195507 0.0982881i
\(342\) 0.492401 + 2.90374i 0.0266260 + 0.157016i
\(343\) 5.29154 2.19183i 0.285716 0.118348i
\(344\) −6.26972 25.3788i −0.338041 1.36833i
\(345\) −2.54964 1.86952i −0.137268 0.100651i
\(346\) −1.13772 4.35980i −0.0611644 0.234385i
\(347\) 3.51122 + 1.73154i 0.188492 + 0.0929540i 0.534086 0.845430i \(-0.320656\pi\)
−0.345594 + 0.938384i \(0.612323\pi\)
\(348\) 31.1997 + 8.06845i 1.67248 + 0.432515i
\(349\) −3.78265 1.28404i −0.202481 0.0687329i 0.218357 0.975869i \(-0.429930\pi\)
−0.420837 + 0.907136i \(0.638264\pi\)
\(350\) −4.49313 + 8.96304i −0.240168 + 0.479095i
\(351\) −17.1817 3.41822i −0.917089 0.182451i
\(352\) 0.321693 1.94910i 0.0171463 0.103888i
\(353\) −8.96685 + 15.5310i −0.477257 + 0.826634i −0.999660 0.0260649i \(-0.991702\pi\)
0.522403 + 0.852699i \(0.325036\pi\)
\(354\) −6.46629 1.18387i −0.343680 0.0629221i
\(355\) 7.89883 + 9.00689i 0.419227 + 0.478036i
\(356\) 14.6874 + 15.0764i 0.778429 + 0.799046i
\(357\) 4.42273 1.60969i 0.234076 0.0851937i
\(358\) −10.7030 + 10.5641i −0.565673 + 0.558328i
\(359\) −3.74948 + 9.05204i −0.197890 + 0.477748i −0.991409 0.130797i \(-0.958247\pi\)
0.793519 + 0.608545i \(0.208247\pi\)
\(360\) 14.5750 + 1.56390i 0.768169 + 0.0824247i
\(361\) 7.08657 + 17.1085i 0.372977 + 0.900447i
\(362\) 4.02025 9.52914i 0.211300 0.500840i
\(363\) 15.4340 10.8068i 0.810076 0.567209i
\(364\) 4.32253 + 23.3195i 0.226562 + 1.22228i
\(365\) 20.8806 + 1.36859i 1.09294 + 0.0716352i
\(366\) 27.5878 + 1.38548i 1.44204 + 0.0724200i
\(367\) −1.44167 + 0.386295i −0.0752547 + 0.0201644i −0.296250 0.955110i \(-0.595736\pi\)
0.220995 + 0.975275i \(0.429069\pi\)
\(368\) −4.20332 + 0.441965i −0.219113 + 0.0230390i
\(369\) 9.44309 2.97717i 0.491588 0.154985i
\(370\) 3.52219 + 0.253982i 0.183110 + 0.0132039i
\(371\) −19.0833 38.6971i −0.990755 2.00905i
\(372\) 15.1735 10.3315i 0.786710 0.535663i
\(373\) 5.23075 1.77560i 0.270838 0.0919371i −0.182717 0.983166i \(-0.558489\pi\)
0.453554 + 0.891229i \(0.350156\pi\)
\(374\) −0.0522717 + 0.377942i −0.00270290 + 0.0195429i
\(375\) 16.3715 13.1392i 0.845419 0.678506i
\(376\) 4.44719 12.3032i 0.229346 0.634490i
\(377\) 12.0024 28.9764i 0.618156 1.49236i
\(378\) 8.14735 + 24.5293i 0.419055 + 1.26165i
\(379\) −4.94874 + 3.30665i −0.254200 + 0.169851i −0.676141 0.736772i \(-0.736349\pi\)
0.421941 + 0.906623i \(0.361349\pi\)
\(380\) −2.38184 + 0.281960i −0.122186 + 0.0144643i
\(381\) 4.54208 2.36439i 0.232698 0.121132i
\(382\) 2.66605 3.00027i 0.136407 0.153507i
\(383\) −1.21132 2.09807i −0.0618956 0.107206i 0.833417 0.552644i \(-0.186381\pi\)
−0.895313 + 0.445438i \(0.853048\pi\)
\(384\) 15.8275 11.5537i 0.807696 0.589600i
\(385\) −1.06098 + 1.83767i −0.0540725 + 0.0936563i
\(386\) 7.19133 + 21.6487i 0.366029 + 1.10189i
\(387\) −26.9331 + 6.58988i −1.36909 + 0.334982i
\(388\) −1.61122 2.15759i −0.0817974 0.109535i
\(389\) 2.24444 + 34.2435i 0.113798 + 1.73622i 0.548947 + 0.835857i \(0.315029\pi\)
−0.435150 + 0.900358i \(0.643305\pi\)
\(390\) 3.48155 13.8351i 0.176295 0.700567i
\(391\) 0.809314 0.106548i 0.0409288 0.00538838i
\(392\) 11.6171 9.79177i 0.586751 0.494559i
\(393\) −5.84884 + 15.0398i −0.295035 + 0.758657i
\(394\) −1.64383 + 0.668345i −0.0828149 + 0.0336707i
\(395\) −3.32040 + 16.6928i −0.167067 + 0.839904i
\(396\) −2.06657 0.345826i −0.103849 0.0173784i
\(397\) 19.5731 29.2932i 0.982344 1.47018i 0.102606 0.994722i \(-0.467282\pi\)
0.879738 0.475459i \(-0.157718\pi\)
\(398\) −10.5795 + 15.6115i −0.530301 + 0.782534i
\(399\) −2.19392 3.61556i −0.109834 0.181004i
\(400\) 1.26091 7.96324i 0.0630455 0.398162i
\(401\) 8.73107 32.5848i 0.436009 1.62721i −0.302632 0.953107i \(-0.597865\pi\)
0.738641 0.674099i \(-0.235468\pi\)
\(402\) −7.87871 5.09210i −0.392955 0.253971i
\(403\) −7.90180 16.0233i −0.393617 0.798176i
\(404\) −35.6503 12.6236i −1.77367 0.628048i
\(405\) 1.69331 15.4554i 0.0841411 0.767983i
\(406\) −45.9175 + 5.74017i −2.27885 + 0.284880i
\(407\) −0.500451 0.0658856i −0.0248064 0.00326583i
\(408\) −2.99754 + 2.31060i −0.148400 + 0.114392i
\(409\) −14.9064 + 1.96246i −0.737073 + 0.0970375i −0.489710 0.871885i \(-0.662897\pi\)
−0.247363 + 0.968923i \(0.579564\pi\)
\(410\) 2.03600 + 7.80202i 0.100551 + 0.385315i
\(411\) 4.53382 + 12.4570i 0.223637 + 0.614458i
\(412\) 9.98269 35.3988i 0.491812 1.74397i
\(413\) 9.25820 1.84157i 0.455566 0.0906178i
\(414\) 0.458811 + 4.45933i 0.0225493 + 0.219164i
\(415\) −12.3136 −0.604449
\(416\) −8.99117 16.8192i −0.440828 0.824628i
\(417\) 4.59926 4.80434i 0.225227 0.235270i
\(418\) 0.342243 0.0201867i 0.0167396 0.000987365i
\(419\) −15.4867 + 13.5814i −0.756573 + 0.663496i −0.948093 0.317992i \(-0.896991\pi\)
0.191521 + 0.981489i \(0.438658\pi\)
\(420\) −20.2834 + 5.62531i −0.989729 + 0.274487i
\(421\) −0.0155284 0.236917i −0.000756807 0.0115466i 0.997464 0.0711754i \(-0.0226750\pi\)
−0.998221 + 0.0596287i \(0.981008\pi\)
\(422\) 28.8656 + 7.93704i 1.40516 + 0.386369i
\(423\) −13.0390 4.74611i −0.633976 0.230764i
\(424\) 24.0481 + 25.0100i 1.16788 + 1.21459i
\(425\) −0.203251 + 1.54385i −0.00985914 + 0.0748876i
\(426\) 1.95972 16.8728i 0.0949487 0.817492i
\(427\) −37.5595 + 12.7497i −1.81763 + 0.617003i
\(428\) 13.8389 + 9.51080i 0.668929 + 0.459722i
\(429\) −0.613232 + 1.94485i −0.0296071 + 0.0938983i
\(430\) −4.26042 22.1749i −0.205456 1.06937i
\(431\) −27.2166 + 27.2166i −1.31098 + 1.31098i −0.390278 + 0.920697i \(0.627621\pi\)
−0.920697 + 0.390278i \(0.872379\pi\)
\(432\) −12.2171 16.8150i −0.587793 0.809011i
\(433\) 17.8997 + 17.8997i 0.860203 + 0.860203i 0.991361 0.131159i \(-0.0418698\pi\)
−0.131159 + 0.991361i \(0.541870\pi\)
\(434\) −14.7874 + 21.8209i −0.709820 + 1.04744i
\(435\) 26.5475 + 8.37071i 1.27286 + 0.401345i
\(436\) −18.9787 29.2234i −0.908917 1.39955i
\(437\) −0.235774 0.694569i −0.0112786 0.0332257i
\(438\) −18.4195 23.2605i −0.880119 1.11143i
\(439\) 12.2241 + 1.60934i 0.583425 + 0.0768094i 0.416461 0.909154i \(-0.363270\pi\)
0.166964 + 0.985963i \(0.446604\pi\)
\(440\) 0.365634 1.66672i 0.0174309 0.0794576i
\(441\) −10.3582 12.3449i −0.493247 0.587854i
\(442\) 1.82084 + 3.20193i 0.0866088 + 0.152300i
\(443\) −23.6612 + 1.55084i −1.12418 + 0.0736825i −0.616128 0.787646i \(-0.711300\pi\)
−0.508049 + 0.861328i \(0.669633\pi\)
\(444\) −3.08273 3.94563i −0.146300 0.187251i
\(445\) 11.9873 + 13.6689i 0.568251 + 0.647966i
\(446\) 7.91170 8.90352i 0.374630 0.421594i
\(447\) −17.7652 17.0069i −0.840266 0.804397i
\(448\) −15.0137 + 23.7986i −0.709331 + 1.12438i
\(449\) 32.9936i 1.55707i −0.627604 0.778533i \(-0.715964\pi\)
0.627604 0.778533i \(-0.284036\pi\)
\(450\) −8.44329 1.35627i −0.398020 0.0639351i
\(451\) −0.224855 1.13042i −0.0105880 0.0532295i
\(452\) 16.7522 + 13.2058i 0.787955 + 0.621147i
\(453\) 1.32915 0.483753i 0.0624487 0.0227287i
\(454\) −23.7947 13.9460i −1.11674 0.654516i
\(455\) 2.67393 + 20.3105i 0.125356 + 0.952173i
\(456\) 2.56180 + 2.23668i 0.119967 + 0.104742i
\(457\) −0.473235 + 3.59458i −0.0221370 + 0.168147i −0.998942 0.0459824i \(-0.985358\pi\)
0.976805 + 0.214130i \(0.0686915\pi\)
\(458\) −16.5295 12.8560i −0.772372 0.600721i
\(459\) 2.44365 + 3.18484i 0.114060 + 0.148656i
\(460\) −3.64570 + 0.191140i −0.169982 + 0.00891195i
\(461\) −1.20270 + 0.593104i −0.0560152 + 0.0276236i −0.470081 0.882624i \(-0.655775\pi\)
0.414065 + 0.910247i \(0.364108\pi\)
\(462\) 2.94162 0.631971i 0.136857 0.0294020i
\(463\) −32.7746 8.78192i −1.52316 0.408130i −0.602381 0.798208i \(-0.705781\pi\)
−0.920782 + 0.390078i \(0.872448\pi\)
\(464\) 33.7927 15.5804i 1.56879 0.723301i
\(465\) 13.5557 8.22558i 0.628629 0.381452i
\(466\) 4.52779 0.869915i 0.209746 0.0402981i
\(467\) −3.57558 2.38912i −0.165458 0.110556i 0.470084 0.882621i \(-0.344223\pi\)
−0.635542 + 0.772066i \(0.719223\pi\)
\(468\) −17.8607 + 9.49669i −0.825611 + 0.438984i
\(469\) 13.2118 + 2.62799i 0.610064 + 0.121349i
\(470\) 4.39248 10.4114i 0.202610 0.480244i
\(471\) 33.9590 + 13.2064i 1.56475 + 0.608517i
\(472\) −6.64691 + 3.66578i −0.305949 + 0.168731i
\(473\) 0.421293 + 3.20004i 0.0193711 + 0.147138i
\(474\) 20.7127 12.3840i 0.951364 0.568816i
\(475\) 1.39622 0.0915131i 0.0640630 0.00419891i
\(476\) 2.77860 4.67064i 0.127357 0.214078i
\(477\) 26.5840 25.4476i 1.21720 1.16516i
\(478\) −17.3420 8.69349i −0.793207 0.397631i
\(479\) −4.42690 2.55587i −0.202270 0.116781i 0.395444 0.918490i \(-0.370591\pi\)
−0.597714 + 0.801709i \(0.703924\pi\)
\(480\) 14.1751 9.25029i 0.647002 0.422216i
\(481\) −4.22026 + 2.43657i −0.192427 + 0.111098i
\(482\) 3.96403 0.233813i 0.180557 0.0106499i
\(483\) −2.97229 5.70986i −0.135244 0.259808i
\(484\) 5.90504 20.9394i 0.268411 0.951791i
\(485\) −1.29224 1.93397i −0.0586775 0.0878171i
\(486\) −17.8639 + 12.9183i −0.810323 + 0.585984i
\(487\) −31.1950 12.9214i −1.41358 0.585524i −0.460341 0.887742i \(-0.652273\pi\)
−0.953239 + 0.302219i \(0.902273\pi\)
\(488\) 25.6804 18.9172i 1.16250 0.856341i
\(489\) 1.27905 + 1.59369i 0.0578404 + 0.0720692i
\(490\) 10.4635 7.92086i 0.472694 0.357828i
\(491\) 2.89914 + 8.54059i 0.130836 + 0.385431i 0.992531 0.121997i \(-0.0389297\pi\)
−0.861694 + 0.507428i \(0.830596\pi\)
\(492\) 6.26855 9.56135i 0.282608 0.431059i
\(493\) −6.44580 + 3.17872i −0.290304 + 0.143162i
\(494\) 2.50266 2.16601i 0.112600 0.0974533i
\(495\) −1.76695 0.391763i −0.0794185 0.0176084i
\(496\) 6.01933 20.3241i 0.270276 0.912578i
\(497\) 6.31294 + 23.5602i 0.283174 + 1.05682i
\(498\) 11.7110 + 12.9494i 0.524781 + 0.580277i
\(499\) 2.80878 42.8537i 0.125738 1.91840i −0.212197 0.977227i \(-0.568062\pi\)
0.337935 0.941169i \(-0.390272\pi\)
\(500\) 5.03917 23.7099i 0.225359 1.06034i
\(501\) 13.3075 + 19.0056i 0.594537 + 0.849106i
\(502\) −13.1185 32.2656i −0.585507 1.44008i
\(503\) −21.7992 + 9.02951i −0.971977 + 0.402606i −0.811448 0.584425i \(-0.801320\pi\)
−0.160529 + 0.987031i \(0.551320\pi\)
\(504\) 25.2066 + 15.9808i 1.12279 + 0.711841i
\(505\) −30.1805 12.5012i −1.34302 0.556295i
\(506\) 0.521821 + 0.00340987i 0.0231978 + 0.000151587i
\(507\) −0.967697 2.65881i −0.0429769 0.118082i
\(508\) 2.33392 5.43267i 0.103551 0.241036i
\(509\) 3.38690 2.97023i 0.150122 0.131653i −0.580991 0.813910i \(-0.697335\pi\)
0.731112 + 0.682257i \(0.239001\pi\)
\(510\) −2.69013 + 1.85753i −0.119121 + 0.0822527i
\(511\) 36.8970 + 21.3025i 1.63223 + 0.942367i
\(512\) 5.71116 21.8948i 0.252400 0.967623i
\(513\) 2.37842 2.71189i 0.105010 0.119733i
\(514\) −33.4359 + 11.1068i −1.47480 + 0.489902i
\(515\) 10.2118 30.0830i 0.449986 1.32561i
\(516\) −19.2681 + 25.5701i −0.848230 + 1.12566i
\(517\) −0.714399 + 1.44866i −0.0314192 + 0.0637119i
\(518\) 6.20305 + 3.63558i 0.272546 + 0.159738i
\(519\) −3.26317 + 4.45030i −0.143237 + 0.195347i
\(520\) −6.99500 14.9146i −0.306751 0.654047i
\(521\) 4.28289 + 10.3398i 0.187637 + 0.452996i 0.989504 0.144507i \(-0.0461597\pi\)
−0.801867 + 0.597503i \(0.796160\pi\)
\(522\) −16.4454 35.8794i −0.719794 1.57040i
\(523\) −13.3722 2.65989i −0.584724 0.116309i −0.106141 0.994351i \(-0.533849\pi\)
−0.478583 + 0.878042i \(0.658849\pi\)
\(524\) 5.75842 + 17.7213i 0.251558 + 0.774160i
\(525\) 11.9885 2.65765i 0.523220 0.115989i
\(526\) −2.10760 + 1.02229i −0.0918957 + 0.0445738i
\(527\) −1.05958 + 3.95440i −0.0461560 + 0.172256i
\(528\) −2.10053 + 1.20064i −0.0914136 + 0.0522510i
\(529\) 5.66388 + 21.1379i 0.246256 + 0.919038i
\(530\) 19.6125 + 22.6608i 0.851912 + 0.984320i
\(531\) 3.87238 + 7.05878i 0.168047 + 0.306325i
\(532\) −4.60331 1.63001i −0.199579 0.0706699i
\(533\) −8.36581 7.33661i −0.362363 0.317784i
\(534\) 2.97407 25.6062i 0.128701 1.10809i
\(535\) 11.5071 + 8.82972i 0.497496 + 0.381742i
\(536\) −10.7653 + 1.20310i −0.464988 + 0.0519662i
\(537\) 18.3088 + 2.00533i 0.790081 + 0.0865365i
\(538\) 3.34913 + 3.39318i 0.144391 + 0.146291i
\(539\) −1.55973 + 1.04218i −0.0671822 + 0.0448897i
\(540\) −9.77779 15.0568i −0.420769 0.647943i
\(541\) 3.95909 + 19.9037i 0.170215 + 0.855726i 0.967645 + 0.252315i \(0.0811921\pi\)
−0.797430 + 0.603411i \(0.793808\pi\)
\(542\) −3.63109 + 2.39205i −0.155969 + 0.102747i
\(543\) −12.1609 + 3.54443i −0.521874 + 0.152106i
\(544\) −0.992151 + 4.25611i −0.0425381 + 0.182479i
\(545\) −15.0492 26.0659i −0.644635 1.11654i
\(546\) 18.8163 22.1286i 0.805262 0.947016i
\(547\) −11.4479 + 33.7243i −0.489475 + 1.44195i 0.369164 + 0.929364i \(0.379644\pi\)
−0.858638 + 0.512582i \(0.828689\pi\)
\(548\) 13.1552 + 7.82617i 0.561964 + 0.334318i
\(549\) −20.0038 27.2830i −0.853741 1.16441i
\(550\) −0.263918 + 0.959824i −0.0112535 + 0.0409270i
\(551\) 3.93135 + 5.12344i 0.167481 + 0.218266i
\(552\) 3.66830 + 3.65218i 0.156133 + 0.155447i
\(553\) −21.0954 + 27.4920i −0.897067 + 1.16908i
\(554\) −18.2139 + 13.7878i −0.773833 + 0.585789i
\(555\) −2.48067 3.54285i −0.105299 0.150386i
\(556\) 0.602392 7.65617i 0.0255471 0.324694i
\(557\) 15.1881 22.7306i 0.643540 0.963126i −0.356049 0.934467i \(-0.615876\pi\)
0.999589 0.0286585i \(-0.00912354\pi\)
\(558\) −21.5426 6.43262i −0.911971 0.272315i
\(559\) 22.0337 + 22.0337i 0.931926 + 0.931926i
\(560\) −14.0269 + 19.8493i −0.592743 + 0.838786i
\(561\) 0.399493 0.242413i 0.0168666 0.0102347i
\(562\) 17.2191 8.35209i 0.726344 0.352312i
\(563\) −14.4548 0.947419i −0.609198 0.0399289i −0.242317 0.970197i \(-0.577908\pi\)
−0.366881 + 0.930268i \(0.619574\pi\)
\(564\) −15.1266 + 5.28262i −0.636945 + 0.222438i
\(565\) 13.8529 + 12.1487i 0.582797 + 0.511099i
\(566\) 24.9397 32.0660i 1.04829 1.34783i
\(567\) 17.0099 26.6977i 0.714349 1.12120i
\(568\) −10.5752 16.5190i −0.443726 0.693120i
\(569\) 19.1301 + 24.9309i 0.801976 + 1.04516i 0.997915 + 0.0645397i \(0.0205579\pi\)
−0.195939 + 0.980616i \(0.562775\pi\)
\(570\) 2.10862 + 2.04518i 0.0883202 + 0.0856631i
\(571\) 2.48955 + 1.22771i 0.104184 + 0.0513781i 0.493634 0.869670i \(-0.335668\pi\)
−0.389450 + 0.921048i \(0.627335\pi\)
\(572\) 0.872602 + 2.18706i 0.0364853 + 0.0914456i
\(573\) −4.91102 0.214473i −0.205161 0.00895972i
\(574\) −3.30798 + 16.0805i −0.138073 + 0.671186i
\(575\) 2.12974 0.0888164
\(576\) −23.2094 6.10948i −0.967057 0.254562i
\(577\) 20.2869 0.844553 0.422276 0.906467i \(-0.361231\pi\)
0.422276 + 0.906467i \(0.361231\pi\)
\(578\) −4.67420 + 22.7218i −0.194421 + 0.945101i
\(579\) 15.0117 23.5631i 0.623866 0.979251i
\(580\) 29.8537 11.9111i 1.23961 0.494583i
\(581\) −22.4854 11.0886i −0.932851 0.460031i
\(582\) −0.804840 + 3.19829i −0.0333617 + 0.132574i
\(583\) −2.60782 3.39857i −0.108005 0.140755i
\(584\) −33.4646 7.34126i −1.38477 0.303783i
\(585\) −15.8358 + 7.38395i −0.654731 + 0.305289i
\(586\) 10.2595 13.1911i 0.423817 0.544919i
\(587\) −4.08945 3.58635i −0.168790 0.148025i 0.570784 0.821100i \(-0.306639\pi\)
−0.739573 + 0.673076i \(0.764973\pi\)
\(588\) −18.2813 3.47063i −0.753910 0.143126i
\(589\) 3.67075 + 0.240594i 0.151251 + 0.00991349i
\(590\) −5.89930 + 2.86144i −0.242870 + 0.117804i
\(591\) 1.90539 + 1.04536i 0.0783772 + 0.0430003i
\(592\) −5.63921 1.27577i −0.231770 0.0524339i
\(593\) 28.6666 + 28.6666i 1.17719 + 1.17719i 0.980456 + 0.196738i \(0.0630350\pi\)
0.196738 + 0.980456i \(0.436965\pi\)
\(594\) 1.26849 + 2.23078i 0.0520466 + 0.0915302i
\(595\) 2.60801 3.90316i 0.106918 0.160014i
\(596\) −28.3106 2.22749i −1.15965 0.0912415i
\(597\) 23.0090 2.01278i 0.941696 0.0823776i
\(598\) 4.01676 3.04068i 0.164258 0.124343i
\(599\) 5.74723 7.48993i 0.234825 0.306030i −0.661045 0.750347i \(-0.729887\pi\)
0.895870 + 0.444316i \(0.146553\pi\)
\(600\) −8.54063 + 4.95605i −0.348670 + 0.202330i
\(601\) −3.56913 4.65138i −0.145588 0.189734i 0.714867 0.699260i \(-0.246487\pi\)
−0.860455 + 0.509527i \(0.829821\pi\)
\(602\) 12.1891 44.3295i 0.496789 1.80673i
\(603\) 1.25057 + 11.4211i 0.0509270 + 0.465103i
\(604\) 0.835043 1.40365i 0.0339774 0.0571137i
\(605\) 6.04057 17.7949i 0.245584 0.723467i
\(606\) 15.5568 + 43.6284i 0.631953 + 1.77228i
\(607\) 11.0638 + 19.1630i 0.449065 + 0.777803i 0.998325 0.0578480i \(-0.0184239\pi\)
−0.549261 + 0.835651i \(0.685091\pi\)
\(608\) 3.92483 + 0.128279i 0.159173 + 0.00520240i
\(609\) 40.9396 + 39.1919i 1.65895 + 1.58814i
\(610\) 23.0070 15.1563i 0.931528 0.613660i
\(611\) 3.04219 + 15.2941i 0.123074 + 0.618735i
\(612\) 4.51193 + 1.06242i 0.182384 + 0.0429458i
\(613\) −21.8894 + 14.6260i −0.884103 + 0.590739i −0.912599 0.408855i \(-0.865928\pi\)
0.0284963 + 0.999594i \(0.490928\pi\)
\(614\) 21.4344 + 21.7164i 0.865023 + 0.876403i
\(615\) 5.83956 7.96397i 0.235474 0.321138i
\(616\) 2.16858 2.71428i 0.0873745 0.109361i
\(617\) −1.14663 0.879842i −0.0461617 0.0354211i 0.585423 0.810728i \(-0.300928\pi\)
−0.631585 + 0.775307i \(0.717595\pi\)
\(618\) −41.3485 + 17.8717i −1.66328 + 0.718904i
\(619\) −19.7910 17.3563i −0.795468 0.697607i 0.161795 0.986824i \(-0.448272\pi\)
−0.957263 + 0.289217i \(0.906605\pi\)
\(620\) 6.11132 17.2590i 0.245437 0.693138i
\(621\) 3.88240 3.88215i 0.155795 0.155785i
\(622\) 22.6136 + 26.1284i 0.906724 + 1.04765i
\(623\) 9.58052 + 35.7550i 0.383836 + 1.43249i
\(624\) −9.03205 + 21.5409i −0.361572 + 0.862326i
\(625\) 2.81058 10.4892i 0.112423 0.419569i
\(626\) −35.4441 + 17.1921i −1.41663 + 0.687134i
\(627\) −0.283669 0.309577i −0.0113287 0.0123633i
\(628\) 40.0139 13.0022i 1.59673 0.518845i
\(629\) 1.09522 + 0.217852i 0.0436691 + 0.00868632i
\(630\) 21.0201 + 14.9247i 0.837460 + 0.594616i
\(631\) 10.2137 + 24.6580i 0.406601 + 0.981621i 0.986025 + 0.166595i \(0.0532774\pi\)
−0.579424 + 0.815026i \(0.696723\pi\)
\(632\) 9.47270 26.2063i 0.376804 1.04243i
\(633\) −14.7664 33.5601i −0.586911 1.33390i
\(634\) 35.0275 + 20.5295i 1.39112 + 0.815329i
\(635\) 2.25889 4.58058i 0.0896415 0.181775i
\(636\) 5.17825 42.1770i 0.205331 1.67243i
\(637\) −5.82126 + 17.1489i −0.230647 + 0.679463i
\(638\) −4.36013 + 1.44836i −0.172619 + 0.0573411i
\(639\) −17.5460 + 11.1775i −0.694110 + 0.442176i
\(640\) 5.91653 18.6278i 0.233872 0.736330i
\(641\) −9.75057 5.62950i −0.385124 0.222352i 0.294921 0.955522i \(-0.404707\pi\)
−0.680045 + 0.733170i \(0.738040\pi\)
\(642\) −1.65830 20.4989i −0.0654480 0.809029i
\(643\) 19.7888 17.3543i 0.780392 0.684386i −0.173400 0.984851i \(-0.555475\pi\)
0.953793 + 0.300466i \(0.0971421\pi\)
\(644\) −6.82942 2.93398i −0.269117 0.115615i
\(645\) −17.7767 + 21.1850i −0.699958 + 0.834159i
\(646\) −0.758424 0.00495597i −0.0298398 0.000194990i
\(647\) 0.708330 + 0.293400i 0.0278473 + 0.0115347i 0.396564 0.918007i \(-0.370203\pi\)
−0.368716 + 0.929542i \(0.620203\pi\)
\(648\) −6.53508 + 24.6027i −0.256722 + 0.966485i
\(649\) 0.865866 0.358653i 0.0339882 0.0140784i
\(650\) 3.61958 + 8.90254i 0.141972 + 0.349187i
\(651\) 32.1608 2.81336i 1.26048 0.110264i
\(652\) 2.30805 + 0.490541i 0.0903904 + 0.0192111i
\(653\) −2.66765 + 40.7005i −0.104393 + 1.59273i 0.549071 + 0.835775i \(0.314981\pi\)
−0.653465 + 0.756957i \(0.726685\pi\)
\(654\) −13.0992 + 40.6166i −0.512221 + 1.58823i
\(655\) 4.16569 + 15.5466i 0.162767 + 0.607454i
\(656\) −1.38051 13.1293i −0.0538998 0.512615i
\(657\) −7.86587 + 35.4771i −0.306877 + 1.38409i
\(658\) 17.3966 15.0565i 0.678192 0.586963i
\(659\) 45.2057 22.2930i 1.76096 0.868411i 0.796308 0.604891i \(-0.206783\pi\)
0.964654 0.263519i \(-0.0848833\pi\)
\(660\) −1.86618 + 0.940655i −0.0726409 + 0.0366150i
\(661\) −6.18284 18.2140i −0.240484 0.708444i −0.998424 0.0561196i \(-0.982127\pi\)
0.757940 0.652325i \(-0.226206\pi\)
\(662\) 25.7747 19.5114i 1.00176 0.758332i
\(663\) 1.63511 4.20455i 0.0635024 0.163291i
\(664\) 19.9326 + 3.02277i 0.773534 + 0.117306i
\(665\) −3.89703 1.61420i −0.151120 0.0625961i
\(666\) −1.36652 + 5.97824i −0.0529517 + 0.231652i
\(667\) 5.46105 + 8.17304i 0.211453 + 0.316461i
\(668\) 25.7849 + 7.27151i 0.997647 + 0.281343i
\(669\) −14.5738 0.636464i −0.563457 0.0246071i
\(670\) −9.34035 + 0.550927i −0.360849 + 0.0212842i
\(671\) −3.41048 + 1.96904i −0.131660 + 0.0760140i
\(672\) 34.2147 4.12674i 1.31986 0.159192i
\(673\) 30.5542 + 17.6405i 1.17778 + 0.679991i 0.955500 0.294992i \(-0.0953170\pi\)
0.222279 + 0.974983i \(0.428650\pi\)
\(674\) −25.1560 12.6106i −0.968975 0.485743i
\(675\) 5.23643 + 9.07043i 0.201550 + 0.349121i
\(676\) −2.80785 1.67041i −0.107994 0.0642467i
\(677\) −21.6735 + 1.42055i −0.832978 + 0.0545963i −0.475923 0.879487i \(-0.657886\pi\)
−0.357055 + 0.934083i \(0.616219\pi\)
\(678\) −0.398958 26.1224i −0.0153219 1.00323i
\(679\) −0.618140 4.69524i −0.0237221 0.180187i
\(680\) −1.04829 + 3.62639i −0.0402002 + 0.139066i
\(681\) 5.13820 + 33.3858i 0.196896 + 1.27935i
\(682\) −1.01730 + 2.41128i −0.0389543 + 0.0923328i
\(683\) −4.92449 0.979543i −0.188430 0.0374812i 0.0999729 0.994990i \(-0.468124\pi\)
−0.288403 + 0.957509i \(0.593124\pi\)
\(684\) 0.145363 4.16259i 0.00555808 0.159161i
\(685\) 10.9936 + 7.34567i 0.420043 + 0.280664i
\(686\) −7.95446 + 1.52827i −0.303703 + 0.0583498i
\(687\) 0.559204 + 25.6406i 0.0213350 + 0.978248i
\(688\) 1.45299 + 36.9415i 0.0553948 + 1.40838i
\(689\) −39.9475 10.7039i −1.52188 0.407786i
\(690\) 2.99905 + 3.31621i 0.114172 + 0.126246i
\(691\) −23.6224 + 11.6493i −0.898639 + 0.443160i −0.832101 0.554624i \(-0.812862\pi\)
−0.0665382 + 0.997784i \(0.521195\pi\)
\(692\) 0.333628 + 6.36344i 0.0126826 + 0.241902i
\(693\) −2.87378 2.30655i −0.109166 0.0876187i
\(694\) −4.37035 3.39909i −0.165896 0.129028i
\(695\) 0.865859 6.57685i 0.0328439 0.249474i
\(696\) −40.9189 20.0671i −1.55103 0.760640i
\(697\) 0.332810 + 2.52795i 0.0126061 + 0.0957528i
\(698\) 4.87386 + 2.85655i 0.184478 + 0.108122i
\(699\) −4.32567 3.62974i −0.163612 0.137290i
\(700\) 8.77800 11.1353i 0.331777 0.420876i
\(701\) −4.84447 24.3548i −0.182973 0.919868i −0.957743 0.287625i \(-0.907134\pi\)
0.774770 0.632243i \(-0.217866\pi\)
\(702\) 22.8261 + 9.63097i 0.861516 + 0.363498i
\(703\) 1.00340i 0.0378440i
\(704\) −1.00102 + 2.60824i −0.0377274 + 0.0983019i
\(705\) −13.2869 + 3.87261i −0.500412 + 0.145851i
\(706\) 16.8466 18.9585i 0.634031 0.713514i
\(707\) −43.8541 50.0061i −1.64930 1.88067i
\(708\) 8.61981 + 3.48252i 0.323952 + 0.130881i
\(709\) −39.3484 + 2.57903i −1.47776 + 0.0968574i −0.782837 0.622227i \(-0.786228\pi\)
−0.694922 + 0.719085i \(0.744561\pi\)
\(710\) −8.37495 14.7272i −0.314306 0.552704i
\(711\) −27.7735 10.1094i −1.04159 0.379132i
\(712\) −16.0489 25.0692i −0.601459 0.939507i
\(713\) 5.55133 + 0.730846i 0.207899 + 0.0273704i
\(714\) −6.58509 + 0.969464i −0.246441 + 0.0362813i
\(715\) 0.653784 + 1.92599i 0.0244502 + 0.0720278i
\(716\) 17.8362 11.5835i 0.666571 0.432896i
\(717\) 5.14212 + 23.1958i 0.192036 + 0.866262i
\(718\) 7.77325 11.4705i 0.290095 0.428076i
\(719\) −25.8828 25.8828i −0.965267 0.965267i 0.0341493 0.999417i \(-0.489128\pi\)
−0.999417 + 0.0341493i \(0.989128\pi\)
\(720\) −19.7437 6.31957i −0.735805 0.235516i
\(721\) 45.7377 45.7377i 1.70336 1.70336i
\(722\) −4.94118 25.7182i −0.183892 0.957132i
\(723\) −3.28560 3.58568i −0.122193 0.133353i
\(724\) −8.28427 + 12.0542i −0.307882 + 0.447992i
\(725\) −17.7559 + 6.02731i −0.659437 + 0.223849i
\(726\) −24.4588 + 10.5716i −0.907751 + 0.392349i
\(727\) 1.29506 9.83692i 0.0480310 0.364831i −0.950504 0.310714i \(-0.899432\pi\)
0.998535 0.0541178i \(-0.0172347\pi\)
\(728\) 0.657468 33.5341i 0.0243674 1.24286i
\(729\) 26.0795 + 6.98979i 0.965909 + 0.258881i
\(730\) −28.5340 7.84586i −1.05609 0.290388i
\(731\) −0.467001 7.12506i −0.0172727 0.263530i
\(732\) −37.8201 9.78052i −1.39787 0.361498i
\(733\) −18.0593 + 15.8376i −0.667035 + 0.584974i −0.924439 0.381330i \(-0.875466\pi\)
0.257404 + 0.966304i \(0.417133\pi\)
\(734\) 2.10709 0.124284i 0.0777742 0.00458740i
\(735\) −15.6122 3.82047i −0.575866 0.140920i
\(736\) 5.94841 + 0.585552i 0.219261 + 0.0215837i
\(737\) 1.33743 0.0492648
\(738\) −13.9290 + 1.43313i −0.512734 + 0.0527541i
\(739\) 20.0829 3.99473i 0.738760 0.146948i 0.188654 0.982044i \(-0.439587\pi\)
0.550106 + 0.835095i \(0.314587\pi\)
\(740\) −4.80659 1.35549i −0.176694 0.0498288i
\(741\) −3.99209 0.703958i −0.146653 0.0258605i
\(742\) 15.4073 + 59.0414i 0.565620 + 2.16748i
\(743\) 1.73044 0.227816i 0.0634835 0.00835776i −0.0987175 0.995115i \(-0.531474\pi\)
0.162201 + 0.986758i \(0.448141\pi\)
\(744\) −23.9625 + 9.98747i −0.878507 + 0.366159i
\(745\) −24.3195 3.20172i −0.890997 0.117302i
\(746\) −7.75164 + 0.969036i −0.283808 + 0.0354789i
\(747\) 3.25337 21.1345i 0.119035 0.773270i
\(748\) 0.180104 0.508633i 0.00658527 0.0185975i
\(749\) 13.0615 + 26.4860i 0.477255 + 0.967778i
\(750\) −26.4220 + 13.5354i −0.964795 + 0.494242i
\(751\) −12.9781 + 48.4349i −0.473577 + 1.76741i 0.153179 + 0.988199i \(0.451049\pi\)
−0.626756 + 0.779216i \(0.715618\pi\)
\(752\) −9.66617 + 15.7752i −0.352489 + 0.575264i
\(753\) −20.5186 + 37.3996i −0.747740 + 1.36292i
\(754\) −24.8829 + 36.7182i −0.906181 + 1.33720i
\(755\) 0.783774 1.17300i 0.0285245 0.0426899i
\(756\) −4.29596 36.2999i −0.156243 1.32021i
\(757\) −4.20789 + 21.1545i −0.152938 + 0.768873i 0.825833 + 0.563915i \(0.190706\pi\)
−0.978771 + 0.204957i \(0.934294\pi\)
\(758\) 7.79729 3.17021i 0.283210 0.115147i
\(759\) −0.400029 0.498437i −0.0145201 0.0180921i
\(760\) 3.37969 + 0.288149i 0.122594 + 0.0104523i
\(761\) −46.3577 + 6.10311i −1.68047 + 0.221237i −0.909519 0.415663i \(-0.863550\pi\)
−0.770946 + 0.636900i \(0.780216\pi\)
\(762\) −6.96547 + 1.98088i −0.252332 + 0.0717597i
\(763\) −4.00799 61.1501i −0.145099 2.21378i
\(764\) −4.54798 + 3.39629i −0.164540 + 0.122873i
\(765\) 3.84387 + 1.12048i 0.138975 + 0.0405109i
\(766\) 1.08007 + 3.25143i 0.0390245 + 0.117479i
\(767\) 4.52398 7.83577i 0.163352 0.282933i
\(768\) −25.2167 + 11.4942i −0.909931 + 0.414760i
\(769\) −13.8517 23.9919i −0.499505 0.865169i 0.500495 0.865740i \(-0.333152\pi\)
−1.00000 0.000571130i \(0.999818\pi\)
\(770\) 1.99333 2.24322i 0.0718347 0.0808401i