Properties

Label 576.2.bm.a.205.39
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 205.39
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.39

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.427576 + 1.34803i) q^{2} +(1.64520 - 0.541597i) q^{3} +(-1.63436 - 1.15277i) q^{4} +(2.38016 + 2.71405i) q^{5} +(0.0266422 + 2.44934i) q^{6} +(3.65079 + 0.480636i) q^{7} +(2.25278 - 1.71026i) q^{8} +(2.41334 - 1.78207i) q^{9} +O(q^{10})\) \(q+(-0.427576 + 1.34803i) q^{2} +(1.64520 - 0.541597i) q^{3} +(-1.63436 - 1.15277i) q^{4} +(2.38016 + 2.71405i) q^{5} +(0.0266422 + 2.44934i) q^{6} +(3.65079 + 0.480636i) q^{7} +(2.25278 - 1.71026i) q^{8} +(2.41334 - 1.78207i) q^{9} +(-4.67632 + 2.04806i) q^{10} +(-1.82388 - 3.69846i) q^{11} +(-3.31318 - 1.01137i) q^{12} +(1.01627 + 2.99385i) q^{13} +(-2.20890 + 4.71586i) q^{14} +(5.38576 + 3.17606i) q^{15} +(1.34225 + 3.76807i) q^{16} +(-4.41542 - 4.41542i) q^{17} +(1.37039 + 4.01522i) q^{18} +(0.330635 - 1.66221i) q^{19} +(-0.761361 - 7.17951i) q^{20} +(6.26658 - 1.18652i) q^{21} +(5.76547 - 0.877267i) q^{22} +(-0.580807 - 4.41167i) q^{23} +(2.77998 - 4.03382i) q^{24} +(-1.04829 + 7.96256i) q^{25} +(-4.47032 + 0.0898694i) q^{26} +(3.00526 - 4.23891i) q^{27} +(-5.41264 - 4.99405i) q^{28} +(-4.75151 + 0.311431i) q^{29} +(-6.58424 + 5.90215i) q^{30} +(-4.26195 + 2.46064i) q^{31} +(-5.65338 + 0.198257i) q^{32} +(-5.00372 - 5.09689i) q^{33} +(7.84004 - 4.06418i) q^{34} +(7.38500 + 11.0524i) q^{35} +(-5.99858 + 0.130512i) q^{36} +(1.25696 + 6.31914i) q^{37} +(2.09934 + 1.15643i) q^{38} +(3.29343 + 4.37506i) q^{39} +(10.0037 + 2.04345i) q^{40} +(-0.274218 - 2.08289i) q^{41} +(-1.07998 + 8.95485i) q^{42} +(-5.84251 + 2.88121i) q^{43} +(-1.28260 + 8.14712i) q^{44} +(10.5808 + 2.30834i) q^{45} +(6.19539 + 1.10338i) q^{46} +(0.735963 - 0.197201i) q^{47} +(4.24905 + 5.47226i) q^{48} +(6.33579 + 1.69767i) q^{49} +(-10.2855 - 4.81772i) q^{50} +(-9.65562 - 4.87286i) q^{51} +(1.79026 - 6.06455i) q^{52} +(-6.09949 + 9.12853i) q^{53} +(4.42920 + 5.86363i) q^{54} +(5.69670 - 13.7530i) q^{55} +(9.04643 - 5.16105i) q^{56} +(-0.356291 - 2.91374i) q^{57} +(1.61181 - 6.53833i) q^{58} +(5.64649 + 6.43858i) q^{59} +(-5.14099 - 11.3994i) q^{60} +(-0.314873 - 4.80403i) q^{61} +(-1.49470 - 6.79734i) q^{62} +(9.66714 - 5.34602i) q^{63} +(2.14999 - 7.70568i) q^{64} +(-5.70657 + 9.88407i) q^{65} +(9.01021 - 4.56584i) q^{66} +(-0.486933 - 0.240129i) q^{67} +(2.12642 + 12.3063i) q^{68} +(-3.34489 - 6.94349i) q^{69} +(-18.0566 + 5.22944i) q^{70} +(1.08365 + 2.61615i) q^{71} +(2.38891 - 8.14206i) q^{72} +(-5.99517 + 14.4736i) q^{73} +(-9.05582 - 1.00750i) q^{74} +(2.58786 + 13.6677i) q^{75} +(-2.45652 + 2.33551i) q^{76} +(-4.88099 - 14.3789i) q^{77} +(-7.30589 + 2.56897i) q^{78} +(1.74684 + 6.51931i) q^{79} +(-7.03197 + 12.6116i) q^{80} +(2.64846 - 8.60149i) q^{81} +(2.92504 + 0.520940i) q^{82} +(-8.46451 - 7.42317i) q^{83} +(-11.6096 - 5.28472i) q^{84} +(1.47428 - 22.4931i) q^{85} +(-1.38583 - 9.10780i) q^{86} +(-7.64850 + 3.08577i) q^{87} +(-10.4341 - 5.21249i) q^{88} +(5.32301 - 2.20486i) q^{89} +(-7.63579 + 13.2762i) q^{90} +(2.27125 + 11.4184i) q^{91} +(-4.13638 + 7.87978i) q^{92} +(-5.67907 + 6.35650i) q^{93} +(-0.0488479 + 1.07642i) q^{94} +(5.29831 - 3.05898i) q^{95} +(-9.19355 + 3.38803i) q^{96} +(-5.66601 - 3.27128i) q^{97} +(-4.99753 + 7.81493i) q^{98} +(-10.9926 - 5.67538i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.427576 + 1.34803i −0.302342 + 0.953200i
\(3\) 1.64520 0.541597i 0.949855 0.312691i
\(4\) −1.63436 1.15277i −0.817179 0.576384i
\(5\) 2.38016 + 2.71405i 1.06444 + 1.21376i 0.976020 + 0.217679i \(0.0698486\pi\)
0.0884205 + 0.996083i \(0.471818\pi\)
\(6\) 0.0266422 + 2.44934i 0.0108766 + 0.999941i
\(7\) 3.65079 + 0.480636i 1.37987 + 0.181663i 0.783672 0.621175i \(-0.213344\pi\)
0.596197 + 0.802838i \(0.296678\pi\)
\(8\) 2.25278 1.71026i 0.796476 0.604670i
\(9\) 2.41334 1.78207i 0.804448 0.594023i
\(10\) −4.67632 + 2.04806i −1.47878 + 0.647654i
\(11\) −1.82388 3.69846i −0.549920 1.11513i −0.977458 0.211130i \(-0.932286\pi\)
0.427538 0.903998i \(-0.359381\pi\)
\(12\) −3.31318 1.01137i −0.956432 0.291956i
\(13\) 1.01627 + 2.99385i 0.281864 + 0.830344i 0.991995 + 0.126275i \(0.0403021\pi\)
−0.710132 + 0.704069i \(0.751365\pi\)
\(14\) −2.20890 + 4.71586i −0.590353 + 1.26037i
\(15\) 5.38576 + 3.17606i 1.39060 + 0.820056i
\(16\) 1.34225 + 3.76807i 0.335563 + 0.942018i
\(17\) −4.41542 4.41542i −1.07090 1.07090i −0.997287 0.0736098i \(-0.976548\pi\)
−0.0736098 0.997287i \(-0.523452\pi\)
\(18\) 1.37039 + 4.01522i 0.323004 + 0.946398i
\(19\) 0.330635 1.66221i 0.0758529 0.381338i −0.924147 0.382037i \(-0.875223\pi\)
1.00000 0.000699247i \(0.000222577\pi\)
\(20\) −0.761361 7.17951i −0.170246 1.60539i
\(21\) 6.26658 1.18652i 1.36748 0.258920i
\(22\) 5.76547 0.877267i 1.22920 0.187034i
\(23\) −0.580807 4.41167i −0.121107 0.919896i −0.938853 0.344318i \(-0.888110\pi\)
0.817747 0.575578i \(-0.195223\pi\)
\(24\) 2.77998 4.03382i 0.567462 0.823400i
\(25\) −1.04829 + 7.96256i −0.209658 + 1.59251i
\(26\) −4.47032 + 0.0898694i −0.876703 + 0.0176248i
\(27\) 3.00526 4.23891i 0.578363 0.815779i
\(28\) −5.41264 4.99405i −1.02289 0.943786i
\(29\) −4.75151 + 0.311431i −0.882334 + 0.0578312i −0.499831 0.866123i \(-0.666605\pi\)
−0.382503 + 0.923954i \(0.624938\pi\)
\(30\) −6.58424 + 5.90215i −1.20211 + 1.07758i
\(31\) −4.26195 + 2.46064i −0.765469 + 0.441944i −0.831256 0.555890i \(-0.812378\pi\)
0.0657867 + 0.997834i \(0.479044\pi\)
\(32\) −5.65338 + 0.198257i −0.999386 + 0.0350472i
\(33\) −5.00372 5.09689i −0.871035 0.887254i
\(34\) 7.84004 4.06418i 1.34456 0.697002i
\(35\) 7.38500 + 11.0524i 1.24829 + 1.86820i
\(36\) −5.99858 + 0.130512i −0.999763 + 0.0217519i
\(37\) 1.25696 + 6.31914i 0.206642 + 1.03886i 0.935266 + 0.353946i \(0.115160\pi\)
−0.728624 + 0.684914i \(0.759840\pi\)
\(38\) 2.09934 + 1.15643i 0.340558 + 0.187597i
\(39\) 3.29343 + 4.37506i 0.527371 + 0.700570i
\(40\) 10.0037 + 2.04345i 1.58173 + 0.323098i
\(41\) −0.274218 2.08289i −0.0428256 0.325293i −0.999426 0.0338885i \(-0.989211\pi\)
0.956600 0.291404i \(-0.0941224\pi\)
\(42\) −1.07998 + 8.95485i −0.166644 + 1.38176i
\(43\) −5.84251 + 2.88121i −0.890974 + 0.439380i −0.829356 0.558720i \(-0.811293\pi\)
−0.0616178 + 0.998100i \(0.519626\pi\)
\(44\) −1.28260 + 8.14712i −0.193359 + 1.22822i
\(45\) 10.5808 + 2.30834i 1.57729 + 0.344107i
\(46\) 6.19539 + 1.10338i 0.913460 + 0.162684i
\(47\) 0.735963 0.197201i 0.107351 0.0287647i −0.204743 0.978816i \(-0.565636\pi\)
0.312095 + 0.950051i \(0.398969\pi\)
\(48\) 4.24905 + 5.47226i 0.613297 + 0.789852i
\(49\) 6.33579 + 1.69767i 0.905112 + 0.242524i
\(50\) −10.2855 4.81772i −1.45459 0.681329i
\(51\) −9.65562 4.87286i −1.35206 0.682336i
\(52\) 1.79026 6.06455i 0.248264 0.841001i
\(53\) −6.09949 + 9.12853i −0.837829 + 1.25390i 0.127232 + 0.991873i \(0.459391\pi\)
−0.965061 + 0.262026i \(0.915609\pi\)
\(54\) 4.42920 + 5.86363i 0.602737 + 0.797940i
\(55\) 5.69670 13.7530i 0.768142 1.85446i
\(56\) 9.04643 5.16105i 1.20888 0.689675i
\(57\) −0.356291 2.91374i −0.0471919 0.385934i
\(58\) 1.61181 6.53833i 0.211642 0.858525i
\(59\) 5.64649 + 6.43858i 0.735110 + 0.838232i 0.991738 0.128278i \(-0.0409450\pi\)
−0.256628 + 0.966510i \(0.582612\pi\)
\(60\) −5.14099 11.3994i −0.663700 1.47165i
\(61\) −0.314873 4.80403i −0.0403153 0.615093i −0.969440 0.245327i \(-0.921105\pi\)
0.929125 0.369766i \(-0.120562\pi\)
\(62\) −1.49470 6.79734i −0.189827 0.863263i
\(63\) 9.66714 5.34602i 1.21795 0.673535i
\(64\) 2.14999 7.70568i 0.268749 0.963210i
\(65\) −5.70657 + 9.88407i −0.707813 + 1.22597i
\(66\) 9.01021 4.56584i 1.10908 0.562016i
\(67\) −0.486933 0.240129i −0.0594884 0.0293364i 0.412301 0.911048i \(-0.364725\pi\)
−0.471790 + 0.881711i \(0.656392\pi\)
\(68\) 2.12642 + 12.3063i 0.257867 + 1.49236i
\(69\) −3.34489 6.94349i −0.402677 0.835899i
\(70\) −18.0566 + 5.22944i −2.15818 + 0.625037i
\(71\) 1.08365 + 2.61615i 0.128605 + 0.310480i 0.975046 0.222002i \(-0.0712592\pi\)
−0.846441 + 0.532483i \(0.821259\pi\)
\(72\) 2.38891 8.14206i 0.281536 0.959551i
\(73\) −5.99517 + 14.4736i −0.701681 + 1.69401i 0.0181267 + 0.999836i \(0.494230\pi\)
−0.719808 + 0.694173i \(0.755770\pi\)
\(74\) −9.05582 1.00750i −1.05272 0.117120i
\(75\) 2.58786 + 13.6677i 0.298820 + 1.57821i
\(76\) −2.45652 + 2.33551i −0.281783 + 0.267901i
\(77\) −4.88099 14.3789i −0.556240 1.63863i
\(78\) −7.30589 + 2.56897i −0.827229 + 0.290878i
\(79\) 1.74684 + 6.51931i 0.196535 + 0.733479i 0.991864 + 0.127301i \(0.0406315\pi\)
−0.795329 + 0.606178i \(0.792702\pi\)
\(80\) −7.03197 + 12.6116i −0.786199 + 1.41002i
\(81\) 2.64846 8.60149i 0.294274 0.955721i
\(82\) 2.92504 + 0.520940i 0.323017 + 0.0575282i
\(83\) −8.46451 7.42317i −0.929100 0.814799i 0.0538728 0.998548i \(-0.482843\pi\)
−0.982973 + 0.183749i \(0.941177\pi\)
\(84\) −11.6096 5.28472i −1.26671 0.576610i
\(85\) 1.47428 22.4931i 0.159908 2.43972i
\(86\) −1.38583 9.10780i −0.149438 0.982119i
\(87\) −7.64850 + 3.08577i −0.820006 + 0.330829i
\(88\) −10.4341 5.21249i −1.11228 0.555653i
\(89\) 5.32301 2.20486i 0.564238 0.233715i −0.0822861 0.996609i \(-0.526222\pi\)
0.646524 + 0.762894i \(0.276222\pi\)
\(90\) −7.63579 + 13.2762i −0.804883 + 1.39943i
\(91\) 2.27125 + 11.4184i 0.238092 + 1.19697i
\(92\) −4.13638 + 7.87978i −0.431248 + 0.821523i
\(93\) −5.67907 + 6.35650i −0.588893 + 0.659138i
\(94\) −0.0488479 + 1.07642i −0.00503828 + 0.111024i
\(95\) 5.29831 3.05898i 0.543595 0.313845i
\(96\) −9.19355 + 3.38803i −0.938312 + 0.345789i
\(97\) −5.66601 3.27128i −0.575297 0.332148i 0.183965 0.982933i \(-0.441107\pi\)
−0.759262 + 0.650785i \(0.774440\pi\)
\(98\) −4.99753 + 7.81493i −0.504827 + 0.789428i
\(99\) −10.9926 5.67538i −1.10479 0.570397i
\(100\) 10.8923 11.8052i 1.08923 1.18052i
\(101\) −11.7772 3.99781i −1.17187 0.397797i −0.333423 0.942777i \(-0.608204\pi\)
−0.838449 + 0.544980i \(0.816537\pi\)
\(102\) 10.6973 10.9325i 1.05919 1.08248i
\(103\) −7.35838 5.64629i −0.725043 0.556345i 0.178968 0.983855i \(-0.442724\pi\)
−0.904011 + 0.427510i \(0.859391\pi\)
\(104\) 7.40971 + 5.00637i 0.726582 + 0.490915i
\(105\) 18.1358 + 14.1837i 1.76987 + 1.38419i
\(106\) −9.69751 12.1254i −0.941906 1.17772i
\(107\) 10.7013 + 7.15036i 1.03453 + 0.691252i 0.952238 0.305357i \(-0.0987757\pi\)
0.0822930 + 0.996608i \(0.473776\pi\)
\(108\) −9.79816 + 3.46353i −0.942828 + 0.333279i
\(109\) 3.96911 19.9540i 0.380171 1.91125i −0.0306397 0.999530i \(-0.509754\pi\)
0.410811 0.911720i \(-0.365246\pi\)
\(110\) 16.1037 + 13.5598i 1.53543 + 1.29287i
\(111\) 5.49037 + 9.71547i 0.521123 + 0.922151i
\(112\) 3.08921 + 14.4016i 0.291903 + 1.36082i
\(113\) −0.196200 0.0525717i −0.0184570 0.00494553i 0.249579 0.968355i \(-0.419708\pi\)
−0.268036 + 0.963409i \(0.586375\pi\)
\(114\) 4.08014 + 0.765554i 0.382141 + 0.0717007i
\(115\) 10.5911 12.0768i 0.987624 1.12617i
\(116\) 8.12468 + 4.96840i 0.754358 + 0.461305i
\(117\) 7.78786 + 5.41411i 0.719988 + 0.500535i
\(118\) −11.0937 + 4.85864i −1.02126 + 0.447274i
\(119\) −13.9976 18.2420i −1.28316 1.67224i
\(120\) 17.5648 2.05611i 1.60344 0.187697i
\(121\) −3.65570 + 4.76420i −0.332336 + 0.433109i
\(122\) 6.61060 + 1.62963i 0.598495 + 0.147540i
\(123\) −1.57923 3.27825i −0.142394 0.295590i
\(124\) 9.80210 + 0.891477i 0.880255 + 0.0800570i
\(125\) −9.09837 + 6.07934i −0.813783 + 0.543752i
\(126\) 3.07315 + 15.3174i 0.273778 + 1.36458i
\(127\) 5.64144 0.500597 0.250298 0.968169i \(-0.419471\pi\)
0.250298 + 0.968169i \(0.419471\pi\)
\(128\) 9.46819 + 6.19301i 0.836878 + 0.547390i
\(129\) −8.05162 + 7.90444i −0.708906 + 0.695947i
\(130\) −10.8840 11.9188i −0.954590 1.04535i
\(131\) 4.38404 + 2.16197i 0.383035 + 0.188892i 0.623605 0.781740i \(-0.285668\pi\)
−0.240570 + 0.970632i \(0.577334\pi\)
\(132\) 2.30234 + 14.0983i 0.200393 + 1.22710i
\(133\) 2.00600 5.90948i 0.173942 0.512417i
\(134\) 0.531901 0.553726i 0.0459493 0.0478347i
\(135\) 18.6577 1.93286i 1.60580 0.166354i
\(136\) −17.4985 2.39541i −1.50048 0.205405i
\(137\) −13.7003 17.8545i −1.17049 1.52541i −0.803620 0.595142i \(-0.797096\pi\)
−0.366871 0.930272i \(-0.619571\pi\)
\(138\) 10.7902 1.54013i 0.918524 0.131105i
\(139\) 15.6553 + 1.02610i 1.32787 + 0.0870330i 0.712759 0.701409i \(-0.247446\pi\)
0.615108 + 0.788442i \(0.289112\pi\)
\(140\) 0.671159 26.5768i 0.0567233 2.24615i
\(141\) 1.10400 0.723030i 0.0929737 0.0608901i
\(142\) −3.98999 + 0.342182i −0.334832 + 0.0287152i
\(143\) 9.21906 9.21906i 0.770937 0.770937i
\(144\) 9.95428 + 6.70167i 0.829523 + 0.558472i
\(145\) −12.1546 12.1546i −1.00939 1.00939i
\(146\) −16.9474 14.2702i −1.40258 1.18101i
\(147\) 11.3431 0.638446i 0.935560 0.0526582i
\(148\) 5.23019 11.7767i 0.429919 0.968040i
\(149\) −0.719791 + 10.9819i −0.0589675 + 0.899671i 0.861230 + 0.508216i \(0.169695\pi\)
−0.920197 + 0.391455i \(0.871972\pi\)
\(150\) −19.5310 2.35549i −1.59470 0.192325i
\(151\) 14.3791 11.0334i 1.17015 0.897889i 0.173932 0.984758i \(-0.444353\pi\)
0.996220 + 0.0868683i \(0.0276859\pi\)
\(152\) −2.09798 4.31007i −0.170169 0.349593i
\(153\) −18.5245 2.78735i −1.49762 0.225344i
\(154\) 21.4702 0.431627i 1.73012 0.0347815i
\(155\) −16.8224 5.71045i −1.35121 0.458675i
\(156\) −0.339220 10.9470i −0.0271594 0.876459i
\(157\) −5.65294 + 11.4630i −0.451153 + 0.914848i 0.545879 + 0.837864i \(0.316196\pi\)
−0.997032 + 0.0769844i \(0.975471\pi\)
\(158\) −9.53512 0.432705i −0.758573 0.0344241i
\(159\) −5.09087 + 18.3217i −0.403732 + 1.45300i
\(160\) −13.9940 14.8717i −1.10633 1.17571i
\(161\) 16.3852i 1.29134i
\(162\) 10.4626 + 7.24799i 0.822022 + 0.569456i
\(163\) 0.929913 + 1.39171i 0.0728364 + 0.109007i 0.866100 0.499872i \(-0.166619\pi\)
−0.793263 + 0.608879i \(0.791619\pi\)
\(164\) −1.95292 + 3.72030i −0.152497 + 0.290506i
\(165\) 1.92357 25.7118i 0.149750 2.00166i
\(166\) 13.6259 8.23642i 1.05757 0.639270i
\(167\) −14.8992 11.4325i −1.15293 0.884675i −0.158221 0.987404i \(-0.550576\pi\)
−0.994709 + 0.102729i \(0.967243\pi\)
\(168\) 12.0879 13.3905i 0.932605 1.03310i
\(169\) 2.38329 1.82876i 0.183330 0.140674i
\(170\) 29.6910 + 11.6049i 2.27719 + 0.890053i
\(171\) −2.16424 4.60071i −0.165504 0.351825i
\(172\) 12.8701 + 2.02613i 0.981337 + 0.154491i
\(173\) 12.0338 + 10.5534i 0.914913 + 0.802357i 0.980708 0.195476i \(-0.0626252\pi\)
−0.0657957 + 0.997833i \(0.520959\pi\)
\(174\) −0.889392 11.6298i −0.0674246 0.881653i
\(175\) −7.65418 + 28.5658i −0.578602 + 2.15937i
\(176\) 11.4880 11.8368i 0.865937 0.892230i
\(177\) 12.7767 + 7.53461i 0.960355 + 0.566336i
\(178\) 0.696226 + 8.11831i 0.0521844 + 0.608493i
\(179\) 13.0725 + 2.60029i 0.977087 + 0.194355i 0.657708 0.753273i \(-0.271526\pi\)
0.319378 + 0.947627i \(0.396526\pi\)
\(180\) −14.6318 15.9698i −1.09059 1.19032i
\(181\) −1.40205 + 2.09832i −0.104214 + 0.155967i −0.879911 0.475138i \(-0.842398\pi\)
0.775698 + 0.631105i \(0.217398\pi\)
\(182\) −16.3634 1.82050i −1.21294 0.134945i
\(183\) −3.11988 7.73304i −0.230628 0.571643i
\(184\) −8.85354 8.94516i −0.652692 0.659446i
\(185\) −14.1587 + 18.4520i −1.04097 + 1.35662i
\(186\) −6.14050 10.3734i −0.450243 0.760617i
\(187\) −8.27707 + 24.3835i −0.605279 + 1.78309i
\(188\) −1.43015 0.526098i −0.104305 0.0383697i
\(189\) 13.0090 14.0310i 0.946263 1.02060i
\(190\) 1.85816 + 8.45021i 0.134805 + 0.613042i
\(191\) 2.48238 4.29961i 0.179619 0.311109i −0.762131 0.647423i \(-0.775847\pi\)
0.941750 + 0.336314i \(0.109180\pi\)
\(192\) −0.636218 13.8418i −0.0459151 0.998945i
\(193\) 0.241237 + 0.417835i 0.0173646 + 0.0300764i 0.874577 0.484886i \(-0.161139\pi\)
−0.857213 + 0.514963i \(0.827806\pi\)
\(194\) 6.83242 6.23923i 0.490539 0.447950i
\(195\) −4.03524 + 19.3519i −0.288970 + 1.38582i
\(196\) −8.39792 10.0783i −0.599852 0.719878i
\(197\) 3.60879 0.717833i 0.257116 0.0511435i −0.0648493 0.997895i \(-0.520657\pi\)
0.321965 + 0.946752i \(0.395657\pi\)
\(198\) 12.3507 12.3916i 0.877728 0.880634i
\(199\) 8.64017 + 20.8592i 0.612486 + 1.47867i 0.860261 + 0.509853i \(0.170300\pi\)
−0.247776 + 0.968817i \(0.579700\pi\)
\(200\) 11.2565 + 19.7307i 0.795956 + 1.39517i
\(201\) −0.931154 0.131338i −0.0656786 0.00926383i
\(202\) 10.4248 14.1666i 0.733486 0.996758i
\(203\) −17.4965 1.14678i −1.22801 0.0804881i
\(204\) 10.1635 + 19.0947i 0.711585 + 1.33689i
\(205\) 5.00039 5.70186i 0.349243 0.398235i
\(206\) 10.7576 7.50509i 0.749519 0.522905i
\(207\) −9.26358 9.61183i −0.643863 0.668068i
\(208\) −9.91693 + 7.84789i −0.687616 + 0.544153i
\(209\) −6.75067 + 1.80884i −0.466954 + 0.125120i
\(210\) −26.8745 + 18.3829i −1.85452 + 1.26854i
\(211\) 3.10611 1.05438i 0.213834 0.0725868i −0.212467 0.977168i \(-0.568150\pi\)
0.426301 + 0.904581i \(0.359817\pi\)
\(212\) 20.4918 7.88799i 1.40738 0.541749i
\(213\) 3.19971 + 3.71719i 0.219241 + 0.254697i
\(214\) −14.2145 + 11.3683i −0.971683 + 0.777120i
\(215\) −21.7259 8.99915i −1.48169 0.613737i
\(216\) −0.479483 14.6891i −0.0326247 0.999468i
\(217\) −16.7422 + 6.93483i −1.13653 + 0.470767i
\(218\) 25.2015 + 13.8823i 1.70686 + 0.940230i
\(219\) −2.02436 + 27.0589i −0.136793 + 1.82847i
\(220\) −25.1645 + 15.9104i −1.69659 + 1.07268i
\(221\) 8.73182 17.7064i 0.587366 1.19106i
\(222\) −15.4443 + 3.24707i −1.03655 + 0.217929i
\(223\) 1.54838 + 0.893958i 0.103687 + 0.0598638i 0.550947 0.834540i \(-0.314267\pi\)
−0.447260 + 0.894404i \(0.647600\pi\)
\(224\) −20.7346 1.99342i −1.38539 0.133191i
\(225\) 11.6599 + 21.0845i 0.777329 + 1.40563i
\(226\) 0.154759 0.242005i 0.0102944 0.0160979i
\(227\) 17.4633 1.14460i 1.15908 0.0759700i 0.526297 0.850301i \(-0.323580\pi\)
0.632781 + 0.774330i \(0.281913\pi\)
\(228\) −2.77656 + 5.17282i −0.183882 + 0.342578i
\(229\) 0.869721 0.762725i 0.0574728 0.0504023i −0.630128 0.776492i \(-0.716997\pi\)
0.687600 + 0.726089i \(0.258664\pi\)
\(230\) 11.7514 + 19.4408i 0.774864 + 1.28189i
\(231\) −15.8178 21.0126i −1.04073 1.38253i
\(232\) −10.1715 + 8.82793i −0.667789 + 0.579582i
\(233\) −13.9810 5.79111i −0.915924 0.379388i −0.125603 0.992081i \(-0.540086\pi\)
−0.790321 + 0.612692i \(0.790086\pi\)
\(234\) −10.6283 + 8.18331i −0.694792 + 0.534960i
\(235\) 2.28693 + 1.52808i 0.149183 + 0.0996806i
\(236\) −1.80619 17.0320i −0.117573 1.10869i
\(237\) 6.40474 + 9.77946i 0.416033 + 0.635244i
\(238\) 30.5757 11.0693i 1.98193 0.717515i
\(239\) 2.73471 10.2061i 0.176894 0.660177i −0.819327 0.573326i \(-0.805653\pi\)
0.996221 0.0868511i \(-0.0276804\pi\)
\(240\) −4.73859 + 24.5570i −0.305875 + 1.58515i
\(241\) −4.34324 16.2092i −0.279773 1.04413i −0.952575 0.304303i \(-0.901576\pi\)
0.672803 0.739822i \(-0.265090\pi\)
\(242\) −4.85919 6.96504i −0.312360 0.447730i
\(243\) −0.301302 15.5855i −0.0193286 0.999813i
\(244\) −5.02332 + 8.21448i −0.321585 + 0.525878i
\(245\) 10.4726 + 21.2364i 0.669072 + 1.35674i
\(246\) 5.09441 0.727146i 0.324808 0.0463611i
\(247\) 5.31243 0.699395i 0.338022 0.0445014i
\(248\) −5.39288 + 12.8323i −0.342448 + 0.814854i
\(249\) −17.9462 7.62823i −1.13729 0.483419i
\(250\) −4.30487 14.8642i −0.272264 0.940097i
\(251\) 5.38726 1.07159i 0.340041 0.0676384i −0.0221161 0.999755i \(-0.507040\pi\)
0.362157 + 0.932117i \(0.382040\pi\)
\(252\) −21.9623 2.40666i −1.38349 0.151605i
\(253\) −15.2571 + 10.1944i −0.959203 + 0.640919i
\(254\) −2.41214 + 7.60482i −0.151351 + 0.477169i
\(255\) −9.75674 37.8041i −0.610991 2.36738i
\(256\) −12.3967 + 10.1154i −0.774795 + 0.632213i
\(257\) 9.12489 + 15.8048i 0.569195 + 0.985875i 0.996646 + 0.0818363i \(0.0260785\pi\)
−0.427451 + 0.904039i \(0.640588\pi\)
\(258\) −7.21272 14.2336i −0.449045 0.886142i
\(259\) 1.55168 + 23.6740i 0.0964165 + 1.47103i
\(260\) 20.7206 9.57575i 1.28504 0.593863i
\(261\) −10.9120 + 9.21911i −0.675439 + 0.570649i
\(262\) −4.78890 + 4.98540i −0.295859 + 0.307999i
\(263\) −2.74119 0.360885i −0.169029 0.0222531i 0.0455365 0.998963i \(-0.485500\pi\)
−0.214566 + 0.976710i \(0.568834\pi\)
\(264\) −19.9893 2.92446i −1.23025 0.179988i
\(265\) −39.2931 + 5.17303i −2.41375 + 0.317777i
\(266\) 7.10843 + 5.23089i 0.435846 + 0.320727i
\(267\) 7.56325 6.51036i 0.462863 0.398427i
\(268\) 0.519010 + 0.953778i 0.0317036 + 0.0582613i
\(269\) 7.92045 + 1.57547i 0.482918 + 0.0960584i 0.430545 0.902569i \(-0.358321\pi\)
0.0523733 + 0.998628i \(0.483321\pi\)
\(270\) −5.37202 + 25.9775i −0.326931 + 1.58094i
\(271\) 3.23664 3.23664i 0.196612 0.196612i −0.601934 0.798546i \(-0.705603\pi\)
0.798546 + 0.601934i \(0.205603\pi\)
\(272\) 10.7110 22.5642i 0.649451 1.36816i
\(273\) 9.92082 + 17.5554i 0.600435 + 1.06250i
\(274\) 29.9263 10.8342i 1.80791 0.654516i
\(275\) 31.3612 10.6457i 1.89115 0.641959i
\(276\) −2.53749 + 15.2040i −0.152739 + 0.915175i
\(277\) 12.3633 6.09689i 0.742837 0.366327i −0.0311614 0.999514i \(-0.509921\pi\)
0.773998 + 0.633188i \(0.218254\pi\)
\(278\) −8.07705 + 20.6651i −0.484429 + 1.23941i
\(279\) −5.90053 + 13.5335i −0.353256 + 0.810227i
\(280\) 35.5393 + 12.2684i 2.12388 + 0.733174i
\(281\) −3.33613 + 25.3404i −0.199017 + 1.51168i 0.542104 + 0.840312i \(0.317628\pi\)
−0.741120 + 0.671372i \(0.765705\pi\)
\(282\) 0.502620 + 1.79737i 0.0299306 + 0.107032i
\(283\) −0.0376732 + 0.0330385i −0.00223944 + 0.00196394i −0.660465 0.750857i \(-0.729641\pi\)
0.658225 + 0.752821i \(0.271307\pi\)
\(284\) 1.24475 5.52492i 0.0738625 0.327844i
\(285\) 7.06002 7.90217i 0.418199 0.468084i
\(286\) 8.48571 + 16.3694i 0.501770 + 0.967943i
\(287\) 7.73599i 0.456641i
\(288\) −13.2902 + 10.5532i −0.783135 + 0.621852i
\(289\) 21.9919i 1.29364i
\(290\) 21.5818 11.1877i 1.26733 0.656967i
\(291\) −11.0934 2.31319i −0.650308 0.135602i
\(292\) 26.4830 16.7440i 1.54980 0.979870i
\(293\) 6.02779 5.28623i 0.352147 0.308825i −0.464936 0.885344i \(-0.653923\pi\)
0.817084 + 0.576519i \(0.195589\pi\)
\(294\) −3.98938 + 15.5638i −0.232665 + 0.907697i
\(295\) −4.03511 + 30.6497i −0.234933 + 1.78450i
\(296\) 13.6390 + 12.0859i 0.792753 + 0.702477i
\(297\) −21.1587 3.38358i −1.22775 0.196335i
\(298\) −14.4961 5.66588i −0.839738 0.328216i
\(299\) 12.6176 6.22231i 0.729694 0.359845i
\(300\) 11.5262 25.3212i 0.665467 1.46192i
\(301\) −22.7146 + 7.71056i −1.30925 + 0.444430i
\(302\) 8.72525 + 24.1010i 0.502082 + 1.38686i
\(303\) −21.5410 0.198700i −1.23750 0.0114150i
\(304\) 6.70714 0.985254i 0.384681 0.0565082i
\(305\) 12.2889 12.2889i 0.703663 0.703663i
\(306\) 11.6781 23.7798i 0.667590 1.35940i
\(307\) −1.10608 0.220013i −0.0631274 0.0125568i 0.163426 0.986556i \(-0.447746\pi\)
−0.226553 + 0.973999i \(0.572746\pi\)
\(308\) −8.59829 + 29.1270i −0.489933 + 1.65966i
\(309\) −15.1640 5.30397i −0.862650 0.301732i
\(310\) 14.8907 20.2355i 0.845736 1.14930i
\(311\) −17.1129 + 2.25296i −0.970386 + 0.127754i −0.599021 0.800733i \(-0.704443\pi\)
−0.371365 + 0.928487i \(0.621110\pi\)
\(312\) 14.9019 + 4.22338i 0.843652 + 0.239102i
\(313\) −15.3353 2.01893i −0.866804 0.114117i −0.316008 0.948757i \(-0.602343\pi\)
−0.550796 + 0.834640i \(0.685676\pi\)
\(314\) −13.0354 12.5216i −0.735631 0.706636i
\(315\) 37.5188 + 13.5128i 2.11394 + 0.761358i
\(316\) 4.66028 12.6686i 0.262161 0.712664i
\(317\) 1.96836 + 30.0314i 0.110554 + 1.68673i 0.588623 + 0.808408i \(0.299670\pi\)
−0.478069 + 0.878322i \(0.658663\pi\)
\(318\) −22.5214 14.6965i −1.26294 0.824141i
\(319\) 9.81800 + 17.0053i 0.549702 + 0.952113i
\(320\) 26.0310 12.5056i 1.45518 0.699083i
\(321\) 21.4783 + 5.96797i 1.19880 + 0.333100i
\(322\) 22.0877 + 7.00593i 1.23090 + 0.390425i
\(323\) −8.79927 + 5.87948i −0.489604 + 0.327143i
\(324\) −14.2441 + 11.0049i −0.791337 + 0.611381i
\(325\) −24.9040 + 4.95372i −1.38143 + 0.274783i
\(326\) −2.27368 + 0.658486i −0.125927 + 0.0364702i
\(327\) −4.27710 34.9780i −0.236524 1.93429i
\(328\) −4.18004 4.22330i −0.230804 0.233193i
\(329\) 2.78163 0.366209i 0.153356 0.0201897i
\(330\) 33.8377 + 13.5868i 1.86271 + 0.747927i
\(331\) −9.19949 18.6547i −0.505650 1.02536i −0.988720 0.149774i \(-0.952145\pi\)
0.483071 0.875581i \(-0.339521\pi\)
\(332\) 5.27684 + 21.8897i 0.289604 + 1.20136i
\(333\) 14.2946 + 13.0103i 0.783340 + 0.712959i
\(334\) 21.7819 15.1962i 1.19185 0.831499i
\(335\) −0.507257 1.89311i −0.0277144 0.103432i
\(336\) 12.8822 + 22.0203i 0.702783 + 1.20131i
\(337\) 4.25097 15.8648i 0.231565 0.864213i −0.748102 0.663584i \(-0.769035\pi\)
0.979667 0.200629i \(-0.0642986\pi\)
\(338\) 1.44618 + 3.99467i 0.0786620 + 0.217281i
\(339\) −0.351261 + 0.0197708i −0.0190779 + 0.00107380i
\(340\) −28.3388 + 35.0623i −1.53689 + 1.90152i
\(341\) 16.8739 + 11.2748i 0.913771 + 0.610562i
\(342\) 7.12726 0.950309i 0.385398 0.0513868i
\(343\) −1.49930 0.621030i −0.0809545 0.0335324i
\(344\) −8.23423 + 16.4829i −0.443960 + 0.888701i
\(345\) 10.8836 25.6049i 0.585956 1.37852i
\(346\) −19.3716 + 11.7095i −1.04142 + 0.629508i
\(347\) 21.3895 18.7581i 1.14825 1.00699i 0.148410 0.988926i \(-0.452585\pi\)
0.999837 0.0180591i \(-0.00574871\pi\)
\(348\) 16.0576 + 3.77369i 0.860776 + 0.202291i
\(349\) 10.4142 0.682585i 0.557461 0.0365379i 0.215931 0.976409i \(-0.430721\pi\)
0.341530 + 0.939871i \(0.389055\pi\)
\(350\) −35.2347 22.5321i −1.88338 1.20439i
\(351\) 15.7448 + 4.68940i 0.840397 + 0.250302i
\(352\) 11.0443 + 20.5472i 0.588664 + 1.09517i
\(353\) −2.37198 1.36947i −0.126248 0.0728893i 0.435546 0.900166i \(-0.356555\pi\)
−0.561794 + 0.827277i \(0.689889\pi\)
\(354\) −15.6199 + 14.0017i −0.830187 + 0.744183i
\(355\) −4.52113 + 9.16795i −0.239957 + 0.486584i
\(356\) −11.2414 2.53266i −0.595793 0.134231i
\(357\) −32.9086 22.4306i −1.74171 1.18715i
\(358\) −9.09476 + 16.5103i −0.480673 + 0.872597i
\(359\) −22.4689 + 9.30690i −1.18586 + 0.491200i −0.886405 0.462911i \(-0.846805\pi\)
−0.299456 + 0.954110i \(0.596805\pi\)
\(360\) 27.7840 12.8958i 1.46434 0.679667i
\(361\) 14.9001 + 6.17181i 0.784214 + 0.324832i
\(362\) −2.22911 2.78719i −0.117159 0.146492i
\(363\) −3.43407 + 9.81797i −0.180242 + 0.515310i
\(364\) 9.45069 21.2799i 0.495351 1.11537i
\(365\) −53.5517 + 18.1783i −2.80302 + 0.951498i
\(366\) 11.7583 0.899221i 0.614618 0.0470031i
\(367\) 8.08202 2.16557i 0.421878 0.113042i −0.0416330 0.999133i \(-0.513256\pi\)
0.463511 + 0.886091i \(0.346589\pi\)
\(368\) 15.8439 8.11009i 0.825919 0.422768i
\(369\) −4.37363 4.53805i −0.227682 0.236242i
\(370\) −18.8199 26.9760i −0.978401 1.40242i
\(371\) −26.6554 + 30.3947i −1.38388 + 1.57801i
\(372\) 16.6092 3.84214i 0.861147 0.199206i
\(373\) 31.3484 + 2.05468i 1.62316 + 0.106387i 0.849632 0.527376i \(-0.176824\pi\)
0.773527 + 0.633763i \(0.218491\pi\)
\(374\) −29.3305 21.5835i −1.51664 1.11606i
\(375\) −11.6761 + 14.9294i −0.602949 + 0.770949i
\(376\) 1.32069 1.70294i 0.0681096 0.0878225i
\(377\) −5.76122 13.9088i −0.296718 0.716340i
\(378\) 13.3518 + 23.5357i 0.686743 + 1.21055i
\(379\) −17.2562 + 3.43247i −0.886392 + 0.176314i −0.617232 0.786781i \(-0.711746\pi\)
−0.269160 + 0.963095i \(0.586746\pi\)
\(380\) −12.1856 1.10825i −0.625109 0.0568521i
\(381\) 9.28128 3.05539i 0.475494 0.156532i
\(382\) 4.73459 + 5.18473i 0.242243 + 0.265274i
\(383\) 9.58570 + 16.6029i 0.489806 + 0.848369i 0.999931 0.0117311i \(-0.00373421\pi\)
−0.510125 + 0.860100i \(0.670401\pi\)
\(384\) 18.9312 + 5.06078i 0.966076 + 0.258257i
\(385\) 27.4077 47.4715i 1.39682 2.41937i
\(386\) −0.666400 + 0.146538i −0.0339189 + 0.00745860i
\(387\) −8.96548 + 17.3651i −0.455741 + 0.882717i
\(388\) 5.48928 + 11.8780i 0.278676 + 0.603016i
\(389\) −1.22567 + 3.61070i −0.0621438 + 0.183070i −0.973568 0.228399i \(-0.926651\pi\)
0.911424 + 0.411469i \(0.134984\pi\)
\(390\) −24.3615 13.7140i −1.23359 0.694436i
\(391\) −16.9149 + 22.0439i −0.855421 + 1.11481i
\(392\) 17.1766 7.01140i 0.867548 0.354129i
\(393\) 8.38352 + 1.18248i 0.422892 + 0.0596482i
\(394\) −0.575372 + 5.17168i −0.0289868 + 0.260545i
\(395\) −13.5360 + 20.2580i −0.681069 + 1.01929i
\(396\) 11.4234 + 21.9475i 0.574046 + 1.10290i
\(397\) 6.39744 + 1.27253i 0.321078 + 0.0638665i 0.352998 0.935624i \(-0.385162\pi\)
−0.0319198 + 0.999490i \(0.510162\pi\)
\(398\) −31.8131 + 2.72830i −1.59465 + 0.136757i
\(399\) 0.0997025 10.8087i 0.00499137 0.541112i
\(400\) −31.4106 + 6.73772i −1.57053 + 0.336886i
\(401\) 4.86654 18.1622i 0.243024 0.906976i −0.731343 0.682010i \(-0.761106\pi\)
0.974367 0.224966i \(-0.0722272\pi\)
\(402\) 0.575186 1.19907i 0.0286877 0.0598039i
\(403\) −11.6981 10.2590i −0.582723 0.511035i
\(404\) 14.6396 + 20.1102i 0.728346 + 1.00052i
\(405\) 29.6487 13.2849i 1.47326 0.660130i
\(406\) 9.02696 23.0954i 0.448000 1.14621i
\(407\) 21.0786 16.1741i 1.04483 0.801723i
\(408\) −30.0858 + 5.53621i −1.48947 + 0.274083i
\(409\) −15.2078 11.6694i −0.751980 0.577014i 0.160064 0.987107i \(-0.448830\pi\)
−0.912044 + 0.410092i \(0.865496\pi\)
\(410\) 5.54821 + 9.17864i 0.274007 + 0.453301i
\(411\) −32.2096 21.9542i −1.58878 1.08292i
\(412\) 5.51738 + 17.7106i 0.271822 + 0.872537i
\(413\) 17.5195 + 26.2198i 0.862080 + 1.29019i
\(414\) 16.9179 8.37777i 0.831469 0.411745i
\(415\) 40.6415i 1.99501i
\(416\) −6.33893 16.7239i −0.310792 0.819955i
\(417\) 26.3118 6.79074i 1.28850 0.332544i
\(418\) 0.448061 9.87351i 0.0219154 0.482929i
\(419\) 10.2294 20.7431i 0.499737 1.01337i −0.490167 0.871629i \(-0.663064\pi\)
0.989904 0.141739i \(-0.0452692\pi\)
\(420\) −13.2898 44.0876i −0.648474 2.15126i
\(421\) 32.8115 + 11.1380i 1.59913 + 0.542832i 0.971777 0.235901i \(-0.0758040\pi\)
0.627355 + 0.778733i \(0.284137\pi\)
\(422\) 0.0932394 + 4.63796i 0.00453882 + 0.225772i
\(423\) 1.42471 1.78745i 0.0692717 0.0869088i
\(424\) 1.87142 + 30.9962i 0.0908843 + 1.50531i
\(425\) 39.7867 30.5294i 1.92994 1.48089i
\(426\) −6.37899 + 2.72392i −0.309063 + 0.131975i
\(427\) 1.15945 17.6898i 0.0561099 0.856072i
\(428\) −9.24700 24.0223i −0.446971 1.16116i
\(429\) 10.1742 20.1602i 0.491213 0.973343i
\(430\) 21.4206 25.4393i 1.03299 1.22679i
\(431\) −16.3868 16.3868i −0.789326 0.789326i 0.192058 0.981384i \(-0.438484\pi\)
−0.981384 + 0.192058i \(0.938484\pi\)
\(432\) 20.0064 + 5.63435i 0.962556 + 0.271083i
\(433\) −4.23873 + 4.23873i −0.203700 + 0.203700i −0.801583 0.597883i \(-0.796009\pi\)
0.597883 + 0.801583i \(0.296009\pi\)
\(434\) −2.18980 25.5341i −0.105114 1.22568i
\(435\) −26.5796 13.4138i −1.27440 0.643144i
\(436\) −29.4893 + 28.0366i −1.41228 + 1.34271i
\(437\) −7.52517 0.493226i −0.359978 0.0235942i
\(438\) −35.6106 14.2986i −1.70154 0.683215i
\(439\) −20.8879 27.2217i −0.996926 1.29922i −0.953893 0.300146i \(-0.902965\pi\)
−0.0430332 0.999074i \(-0.513702\pi\)
\(440\) −10.6880 40.7254i −0.509529 1.94151i
\(441\) 18.3158 7.19375i 0.872181 0.342559i
\(442\) 20.1352 + 19.3415i 0.957732 + 0.919984i
\(443\) 11.3778 33.5178i 0.540573 1.59248i −0.242237 0.970217i \(-0.577881\pi\)
0.782810 0.622261i \(-0.213786\pi\)
\(444\) 2.22645 22.2077i 0.105663 1.05393i
\(445\) 18.6537 + 9.19901i 0.884272 + 0.436075i
\(446\) −1.86713 + 1.70502i −0.0884111 + 0.0807353i
\(447\) 4.76356 + 18.4572i 0.225309 + 0.872995i
\(448\) 11.5528 27.0985i 0.545818 1.28028i
\(449\) 14.6087 0.689428 0.344714 0.938708i \(-0.387976\pi\)
0.344714 + 0.938708i \(0.387976\pi\)
\(450\) −33.4080 + 6.70269i −1.57487 + 0.315968i
\(451\) −7.20334 + 4.81312i −0.339192 + 0.226641i
\(452\) 0.260058 + 0.312094i 0.0122321 + 0.0146797i
\(453\) 17.6807 25.9399i 0.830712 1.21876i
\(454\) −5.92392 + 24.0304i −0.278023 + 1.12780i
\(455\) −25.5841 + 33.3419i −1.19940 + 1.56309i
\(456\) −5.78591 5.95465i −0.270950 0.278852i
\(457\) 12.3529 + 16.0986i 0.577845 + 0.753062i 0.987230 0.159299i \(-0.0509235\pi\)
−0.409385 + 0.912362i \(0.634257\pi\)
\(458\) 0.656302 + 1.49853i 0.0306670 + 0.0700217i
\(459\) −31.9861 + 5.44709i −1.49298 + 0.254249i
\(460\) −31.2314 + 7.52878i −1.45617 + 0.351031i
\(461\) 4.82172 5.49812i 0.224570 0.256073i −0.628572 0.777751i \(-0.716360\pi\)
0.853142 + 0.521678i \(0.174694\pi\)
\(462\) 35.0889 12.3383i 1.63248 0.574030i
\(463\) −5.85612 1.56914i −0.272157 0.0729242i 0.120159 0.992755i \(-0.461659\pi\)
−0.392316 + 0.919830i \(0.628326\pi\)
\(464\) −7.55122 17.4860i −0.350557 0.811768i
\(465\) −30.7690 0.283822i −1.42688 0.0131619i
\(466\) 13.7845 16.3706i 0.638555 0.758354i
\(467\) −5.69765 + 28.6440i −0.263656 + 1.32549i 0.591159 + 0.806555i \(0.298671\pi\)
−0.854815 + 0.518933i \(0.826329\pi\)
\(468\) −6.48693 17.8262i −0.299859 0.824016i
\(469\) −1.66228 1.11070i −0.0767568 0.0512873i
\(470\) −3.03772 + 2.42947i −0.140120 + 0.112063i
\(471\) −3.09185 + 21.9205i −0.142465 + 1.01004i
\(472\) 23.7319 + 4.84770i 1.09235 + 0.223133i
\(473\) 21.3121 + 16.3533i 0.979929 + 0.751926i
\(474\) −15.9215 + 4.45231i −0.731298 + 0.204501i
\(475\) 12.8889 + 4.37518i 0.591382 + 0.200747i
\(476\) 1.84826 + 45.9499i 0.0847148 + 2.10611i
\(477\) 1.54750 + 32.9000i 0.0708551 + 1.50639i
\(478\) 12.5888 + 8.05035i 0.575798 + 0.368214i
\(479\) −4.79252 2.76696i −0.218976 0.126426i 0.386500 0.922289i \(-0.373684\pi\)
−0.605476 + 0.795864i \(0.707017\pi\)
\(480\) −31.0774 16.8877i −1.41848 0.770816i
\(481\) −17.6411 + 10.1851i −0.804366 + 0.464401i
\(482\) 23.7075 + 1.07585i 1.07985 + 0.0490036i
\(483\) −8.87420 26.9569i −0.403790 1.22658i
\(484\) 11.4667 3.57224i 0.521216 0.162374i
\(485\) −4.60761 23.1640i −0.209221 1.05182i
\(486\) 21.1386 + 6.25784i 0.958865 + 0.283861i
\(487\) −0.284706 + 0.117929i −0.0129013 + 0.00534388i −0.389125 0.921185i \(-0.627222\pi\)
0.376223 + 0.926529i \(0.377222\pi\)
\(488\) −8.92550 10.2839i −0.404038 0.465529i
\(489\) 2.28364 + 1.78600i 0.103270 + 0.0807659i
\(490\) −33.1051 + 5.03723i −1.49554 + 0.227559i
\(491\) −1.73116 + 26.4123i −0.0781260 + 1.19197i 0.761264 + 0.648442i \(0.224579\pi\)
−0.839390 + 0.543530i \(0.817087\pi\)
\(492\) −1.19803 + 7.17831i −0.0540115 + 0.323623i
\(493\) 22.3550 + 19.6048i 1.00682 + 0.882957i
\(494\) −1.32866 + 7.46035i −0.0597794 + 0.335657i
\(495\) −10.7608 43.3427i −0.483661 1.94811i
\(496\) −14.9925 12.7565i −0.673182 0.572786i
\(497\) 2.69875 + 10.0719i 0.121055 + 0.451785i
\(498\) 17.9564 20.9303i 0.804646 0.937908i
\(499\) −8.97901 26.4513i −0.401956 1.18412i −0.939991 0.341200i \(-0.889167\pi\)
0.538035 0.842923i \(-0.319167\pi\)
\(500\) 21.8781 + 0.552498i 0.978417 + 0.0247085i
\(501\) −30.7039 10.7394i −1.37175 0.479801i
\(502\) −0.858926 + 7.72037i −0.0383357 + 0.344577i
\(503\) −3.31051 + 7.99228i −0.147608 + 0.356358i −0.980339 0.197320i \(-0.936776\pi\)
0.832731 + 0.553678i \(0.186776\pi\)
\(504\) 12.6348 28.5768i 0.562798 1.27291i
\(505\) −17.1813 41.4793i −0.764558 1.84581i
\(506\) −7.21884 24.9258i −0.320916 1.10809i
\(507\) 2.93052 4.29945i 0.130149 0.190945i
\(508\) −9.22013 6.50327i −0.409077 0.288536i
\(509\) 11.6738 + 5.75689i 0.517433 + 0.255170i 0.682204 0.731162i \(-0.261022\pi\)
−0.164771 + 0.986332i \(0.552688\pi\)
\(510\) 55.1327 + 3.01175i 2.44132 + 0.133362i
\(511\) −28.8436 + 49.9587i −1.27597 + 2.21004i
\(512\) −8.33530 21.0362i −0.368372 0.929679i
\(513\) −6.05234 6.39692i −0.267217 0.282431i
\(514\) −25.2069 + 5.54287i −1.11183 + 0.244486i
\(515\) −2.18982 33.4101i −0.0964948 1.47223i
\(516\) 22.2712 3.63703i 0.980436 0.160111i
\(517\) −2.07165 2.36226i −0.0911110 0.103892i
\(518\) −32.5767 8.03073i −1.43134 0.352850i
\(519\) 25.5136 + 10.8449i 1.11992 + 0.476037i
\(520\) 4.04875 + 32.0263i 0.177549 + 1.40445i
\(521\) −16.2777 + 39.2979i −0.713140 + 1.72167i −0.0211381 + 0.999777i \(0.506729\pi\)
−0.692002 + 0.721896i \(0.743271\pi\)
\(522\) −7.76189 18.6516i −0.339729 0.816359i
\(523\) −13.7541 + 20.5844i −0.601423 + 0.900093i −0.999854 0.0171054i \(-0.994555\pi\)
0.398431 + 0.917198i \(0.369555\pi\)
\(524\) −4.67284 8.58720i −0.204134 0.375134i
\(525\) 2.87853 + 51.1418i 0.125629 + 2.23201i
\(526\) 1.65855 3.54090i 0.0723162 0.154391i
\(527\) 29.6831 + 7.95356i 1.29302 + 0.346462i
\(528\) 12.4892 25.6957i 0.543522 1.11826i
\(529\) 3.09084 0.828187i 0.134384 0.0360081i
\(530\) 9.82738 55.1800i 0.426874 2.39687i
\(531\) 25.1009 + 5.47609i 1.08929 + 0.237642i
\(532\) −10.0908 + 7.34576i −0.437491 + 0.318479i
\(533\) 5.95717 2.93775i 0.258034 0.127248i
\(534\) 5.54228 + 12.9791i 0.239838 + 0.561662i
\(535\) 6.06429 + 46.0629i 0.262182 + 1.99147i
\(536\) −1.50764 + 0.291828i −0.0651199 + 0.0126051i
\(537\) 22.9152 2.80206i 0.988863 0.120918i
\(538\) −5.51037 + 10.0033i −0.237569 + 0.431275i
\(539\) −5.27695 26.5290i −0.227294 1.14268i
\(540\) −32.7214 18.3490i −1.40811 0.789614i
\(541\) −1.53397 2.29575i −0.0659507 0.0987022i 0.797028 0.603942i \(-0.206404\pi\)
−0.862979 + 0.505240i \(0.831404\pi\)
\(542\) 2.97917 + 5.74699i 0.127966 + 0.246854i
\(543\) −1.17021 + 4.21149i −0.0502184 + 0.180732i
\(544\) 25.8374 + 24.0867i 1.10777 + 1.03271i
\(545\) 63.6035 36.7215i 2.72447 1.57298i
\(546\) −27.9070 + 5.86730i −1.19431 + 0.251097i
\(547\) 30.0006 1.96634i 1.28273 0.0840748i 0.591262 0.806479i \(-0.298630\pi\)
0.691471 + 0.722405i \(0.256963\pi\)
\(548\) 1.80900 + 44.9739i 0.0772767 + 1.92119i
\(549\) −9.32100 11.0327i −0.397811 0.470862i
\(550\) 0.941400 + 46.8275i 0.0401414 + 1.99673i
\(551\) −1.05335 + 8.00100i −0.0448743 + 0.340854i
\(552\) −19.4105 9.92149i −0.826165 0.422287i
\(553\) 3.24395 + 24.6402i 0.137947 + 1.04781i
\(554\) 2.93254 + 19.2729i 0.124592 + 0.818828i
\(555\) −13.3003 + 38.0256i −0.564568 + 1.61409i
\(556\) −24.4035 19.7240i −1.03494 0.836483i
\(557\) 4.24115 21.3217i 0.179703 0.903429i −0.780719 0.624882i \(-0.785147\pi\)
0.960423 0.278547i \(-0.0898529\pi\)
\(558\) −15.7206 13.7407i −0.665504 0.581689i
\(559\) −14.5635 14.5635i −0.615970 0.615970i
\(560\) −31.7338 + 42.6624i −1.34100 + 1.80281i
\(561\) −0.411388 + 44.5984i −0.0173688 + 1.88295i
\(562\) −32.7332 15.3322i −1.38077 0.646748i
\(563\) 4.82477 + 14.2133i 0.203340 + 0.599019i 0.999985 0.00542731i \(-0.00172758\pi\)
−0.796646 + 0.604447i \(0.793394\pi\)
\(564\) −2.63782 0.0909674i −0.111072 0.00383042i
\(565\) −0.324306 0.657627i −0.0136436 0.0276666i
\(566\) −0.0284287 0.0649111i −0.00119495 0.00272842i
\(567\) 13.8032 30.1293i 0.579679 1.26531i
\(568\) 6.91553 + 4.04028i 0.290169 + 0.169527i
\(569\) −1.99259 0.262330i −0.0835339 0.0109974i 0.0886434 0.996063i \(-0.471747\pi\)
−0.172177 + 0.985066i \(0.555080\pi\)
\(570\) 7.63365 + 12.8959i 0.319738 + 0.540149i
\(571\) 2.19810 + 2.50645i 0.0919876 + 0.104892i 0.796002 0.605294i \(-0.206944\pi\)
−0.704015 + 0.710186i \(0.748611\pi\)
\(572\) −25.6947 + 4.43981i −1.07435 + 0.185638i
\(573\) 1.75535 8.41815i 0.0733307 0.351673i
\(574\) 10.4283 + 3.30772i 0.435270 + 0.138062i
\(575\) 35.7370 1.49034
\(576\) −8.54338 22.4279i −0.355974 0.934496i
\(577\) 31.2835 1.30235 0.651175 0.758928i \(-0.274276\pi\)
0.651175 + 0.758928i \(0.274276\pi\)
\(578\) −29.6457 9.40320i −1.23310 0.391121i
\(579\) 0.623181 + 0.556767i 0.0258985 + 0.0231385i
\(580\) 5.85354 + 33.8764i 0.243055 + 1.40664i
\(581\) −27.3343 31.1688i −1.13402 1.29310i
\(582\) 7.86153 13.9652i 0.325871 0.578875i
\(583\) 44.8862 + 5.90938i 1.85900 + 0.244742i
\(584\) 11.2479 + 42.8591i 0.465443 + 1.77352i
\(585\) 3.84217 + 34.0232i 0.158854 + 1.40668i
\(586\) 4.54865 + 10.3859i 0.187903 + 0.429037i
\(587\) 2.50200 + 5.07355i 0.103269 + 0.209408i 0.942374 0.334560i \(-0.108588\pi\)
−0.839106 + 0.543968i \(0.816921\pi\)
\(588\) −19.2746 12.0325i −0.794872 0.496211i
\(589\) 2.68096 + 7.89785i 0.110467 + 0.325425i
\(590\) −39.5914 18.5445i −1.62995 0.763466i
\(591\) 5.54839 3.13549i 0.228230 0.128977i
\(592\) −22.1238 + 13.2182i −0.909284 + 0.543264i
\(593\) −0.984363 0.984363i −0.0404229 0.0404229i 0.686606 0.727029i \(-0.259100\pi\)
−0.727029 + 0.686606i \(0.759100\pi\)
\(594\) 13.6081 27.0758i 0.558347 1.11093i
\(595\) 16.1933 81.4091i 0.663859 3.33745i
\(596\) 13.8360 17.1186i 0.566743 0.701204i
\(597\) 25.5121 + 29.6380i 1.04414 + 1.21300i
\(598\) 2.99287 + 19.6694i 0.122387 + 0.804341i
\(599\) −5.33914 40.5548i −0.218151 1.65702i −0.653622 0.756821i \(-0.726751\pi\)
0.435471 0.900203i \(-0.356582\pi\)
\(600\) 29.2053 + 26.3644i 1.19230 + 1.07632i
\(601\) 2.50082 18.9956i 0.102011 0.774848i −0.861609 0.507572i \(-0.830543\pi\)
0.963620 0.267276i \(-0.0861235\pi\)
\(602\) −0.681847 33.9167i −0.0277900 1.38234i
\(603\) −1.60306 + 0.288235i −0.0652818 + 0.0117378i
\(604\) −36.2196 + 1.45687i −1.47375 + 0.0592793i
\(605\) −21.6315 + 1.41780i −0.879444 + 0.0576418i
\(606\) 9.47825 28.9529i 0.385028 1.17613i
\(607\) 4.65166 2.68564i 0.188805 0.109007i −0.402618 0.915368i \(-0.631900\pi\)
0.591423 + 0.806361i \(0.298566\pi\)
\(608\) −1.53966 + 9.46268i −0.0624414 + 0.383762i
\(609\) −29.4062 + 7.58936i −1.19160 + 0.307537i
\(610\) 11.3114 + 21.8203i 0.457985 + 0.883478i
\(611\) 1.33833 + 2.00295i 0.0541430 + 0.0810308i
\(612\) 27.0625 + 25.9100i 1.09394 + 1.04735i
\(613\) 2.68903 + 13.5186i 0.108609 + 0.546013i 0.996327 + 0.0856265i \(0.0272892\pi\)
−0.887719 + 0.460387i \(0.847711\pi\)
\(614\) 0.769517 1.39696i 0.0310552 0.0563765i
\(615\) 5.13852 12.0889i 0.207205 0.487470i
\(616\) −35.5875 24.0447i −1.43386 0.968789i
\(617\) 1.77188 + 13.4588i 0.0713332 + 0.541829i 0.989379 + 0.145356i \(0.0464327\pi\)
−0.918046 + 0.396473i \(0.870234\pi\)
\(618\) 13.6337 18.1737i 0.548426 0.731051i
\(619\) 21.0929 10.4019i 0.847796 0.418087i 0.0341284 0.999417i \(-0.489134\pi\)
0.813667 + 0.581331i \(0.197468\pi\)
\(620\) 20.9111 + 28.7253i 0.839809 + 1.15364i
\(621\) −20.4462 10.7962i −0.820476 0.433238i
\(622\) 4.28003 24.0320i 0.171613 0.963597i
\(623\) 20.4929 5.49106i 0.821032 0.219995i
\(624\) −12.0649 + 18.2823i −0.482983 + 0.731878i
\(625\) 0.632778 + 0.169552i 0.0253111 + 0.00678209i
\(626\) 9.27859 19.8092i 0.370847 0.791735i
\(627\) −10.1265 + 6.63204i −0.404414 + 0.264858i
\(628\) 22.4531 12.2182i 0.895977 0.487557i
\(629\) 22.3517 33.4517i 0.891220 1.33380i
\(630\) −34.2577 + 44.7986i −1.36486 + 1.78482i
\(631\) 5.78074 13.9559i 0.230128 0.555577i −0.766064 0.642764i \(-0.777788\pi\)
0.996192 + 0.0871866i \(0.0277876\pi\)
\(632\) 15.0850 + 11.6990i 0.600048 + 0.465360i
\(633\) 4.53912 3.41693i 0.180414 0.135811i
\(634\) −41.3248 10.1873i −1.64122 0.404589i
\(635\) 13.4275 + 15.3112i 0.532856 + 0.607605i
\(636\) 29.4410 24.0756i 1.16741 0.954660i
\(637\) 1.35633 + 20.6937i 0.0537399 + 0.819913i
\(638\) −27.1215 + 5.96389i −1.07375 + 0.236113i
\(639\) 7.27738 + 4.38255i 0.287889 + 0.173371i
\(640\) 5.72765 + 40.4376i 0.226405 + 1.59843i
\(641\) −10.8069 + 18.7181i −0.426846 + 0.739319i −0.996591 0.0825026i \(-0.973709\pi\)
0.569745 + 0.821822i \(0.307042\pi\)
\(642\) −17.2286 + 26.4016i −0.679958 + 1.04199i
\(643\) −0.204936 0.101063i −0.00808189 0.00398555i 0.438243 0.898856i \(-0.355601\pi\)
−0.446325 + 0.894871i \(0.647268\pi\)
\(644\) −18.8884 + 26.7793i −0.744306 + 1.05525i
\(645\) −40.6172 3.03870i −1.59930 0.119649i
\(646\) −4.16335 14.3756i −0.163805 0.565600i
\(647\) −6.03473 14.5691i −0.237250 0.572772i 0.759747 0.650219i \(-0.225323\pi\)
−0.996996 + 0.0774475i \(0.975323\pi\)
\(648\) −8.74443 23.9068i −0.343514 0.939148i
\(649\) 13.5143 32.6265i 0.530484 1.28070i
\(650\) 3.97061 35.6894i 0.155740 1.39985i
\(651\) −23.7883 + 20.4767i −0.932336 + 0.802545i
\(652\) 0.0845117 3.34653i 0.00330973 0.131060i
\(653\) 12.3848 + 36.4845i 0.484656 + 1.42775i 0.864469 + 0.502687i \(0.167655\pi\)
−0.379813 + 0.925063i \(0.624012\pi\)
\(654\) 48.9801 + 9.19009i 1.91527 + 0.359361i
\(655\) 4.56702 + 17.0443i 0.178448 + 0.665978i
\(656\) 7.48041 3.82903i 0.292061 0.149499i
\(657\) 11.3246 + 45.6136i 0.441814 + 1.77956i
\(658\) −0.695698 + 3.90630i −0.0271211 + 0.152283i
\(659\) −36.1482 31.7011i −1.40813 1.23490i −0.935350 0.353723i \(-0.884916\pi\)
−0.472785 0.881178i \(-0.656751\pi\)
\(660\) −32.7835 + 39.8048i −1.27610 + 1.54940i
\(661\) −0.864507 + 13.1898i −0.0336254 + 0.513025i 0.947513 + 0.319718i \(0.103588\pi\)
−0.981138 + 0.193307i \(0.938079\pi\)
\(662\) 29.0805 4.42486i 1.13025 0.171977i
\(663\) 4.77583 33.8596i 0.185478 1.31500i
\(664\) −31.7642 2.24620i −1.23269 0.0871693i
\(665\) 20.8133 8.62113i 0.807104 0.334313i
\(666\) −23.6503 + 13.7066i −0.916429 + 0.531122i
\(667\) 4.13364 + 20.7812i 0.160055 + 0.804652i
\(668\) 11.1715 + 35.8601i 0.432238 + 1.38747i
\(669\) 3.03155 + 0.632137i 0.117207 + 0.0244398i
\(670\) 2.76886 + 0.125651i 0.106970 + 0.00485432i
\(671\) −17.1932 + 9.92651i −0.663737 + 0.383209i
\(672\) −35.1921 + 7.95023i −1.35757 + 0.306687i
\(673\) −20.8770 12.0534i −0.804751 0.464623i 0.0403790 0.999184i \(-0.487143\pi\)
−0.845130 + 0.534561i \(0.820477\pi\)
\(674\) 19.5686 + 12.5138i 0.753756 + 0.482015i
\(675\) 30.6022 + 28.3732i 1.17788 + 1.09208i
\(676\) −6.00328 + 0.241472i −0.230895 + 0.00928739i
\(677\) −27.2422 9.24747i −1.04700 0.355409i −0.255649 0.966770i \(-0.582289\pi\)
−0.791352 + 0.611360i \(0.790623\pi\)
\(678\) 0.123539 0.481962i 0.00474449 0.0185097i
\(679\) −19.1131 14.6660i −0.733495 0.562831i
\(680\) −35.1480 53.1933i −1.34786 2.03987i
\(681\) 28.1106 11.3412i 1.07720 0.434595i
\(682\) −22.4135 + 17.9256i −0.858259 + 0.686408i
\(683\) −34.9390 23.3455i −1.33690 0.893291i −0.338049 0.941128i \(-0.609767\pi\)
−0.998855 + 0.0478376i \(0.984767\pi\)
\(684\) −1.76640 + 10.0141i −0.0675401 + 0.382898i
\(685\) 15.8493 79.6799i 0.605571 3.04441i
\(686\) 1.47823 1.75556i 0.0564390 0.0670275i
\(687\) 1.01777 1.72587i 0.0388304 0.0658461i
\(688\) −18.6987 18.1477i −0.712882 0.691874i
\(689\) −33.5282 8.98384i −1.27732 0.342257i
\(690\) 29.8625 + 25.6195i 1.13684 + 0.975317i
\(691\) −29.7147 + 33.8831i −1.13040 + 1.28897i −0.178031 + 0.984025i \(0.556973\pi\)
−0.952369 + 0.304949i \(0.901361\pi\)
\(692\) −7.50196 31.1201i −0.285182 1.18301i
\(693\) −37.4037 26.0031i −1.42085 0.987774i
\(694\) 16.1408 + 36.8541i 0.612695 + 1.39896i
\(695\) 34.4773 + 44.9317i 1.30780 + 1.70436i
\(696\) −11.9529 + 20.0325i −0.453073 + 0.759330i
\(697\) −7.98605 + 10.4076i −0.302493 + 0.394217i
\(698\) −3.53273 + 14.3305i −0.133716 + 0.542419i
\(699\) −26.1379 1.95545i −0.988626 0.0739621i
\(700\) 45.4394 37.8632i 1.71745 1.43110i
\(701\) −26.0666 + 17.4172i −0.984523 + 0.657837i −0.940001 0.341171i \(-0.889176\pi\)
−0.0445221 + 0.999008i \(0.514176\pi\)
\(702\) −13.0535 + 19.2194i −0.492674 + 0.725389i
\(703\) 10.9194 0.411831
\(704\) −32.4205 + 6.10257i −1.22189 + 0.229999i
\(705\) 4.59004 + 1.27539i 0.172871 + 0.0480340i
\(706\) 2.86028 2.61195i 0.107648 0.0983020i
\(707\) −41.0745 20.2557i −1.54477 0.761794i
\(708\) −12.1960 27.0428i −0.458355 1.01633i
\(709\) −13.7982 + 40.6481i −0.518201 + 1.52657i 0.301322 + 0.953522i \(0.402572\pi\)
−0.819522 + 0.573047i \(0.805761\pi\)
\(710\) −10.4255 10.0146i −0.391263 0.375841i
\(711\) 15.8336 + 12.6203i 0.593806 + 0.473300i
\(712\) 8.22064 14.0708i 0.308082 0.527326i
\(713\) 13.3309 + 17.3732i 0.499246 + 0.650630i
\(714\) 44.3080 34.7709i 1.65819 1.30127i
\(715\) 46.9639 + 3.07818i 1.75635 + 0.115117i
\(716\) −18.3677 19.3194i −0.686432 0.722000i
\(717\) −1.02845 18.2721i −0.0384082 0.682385i
\(718\) −2.93883 34.2680i −0.109676 1.27887i
\(719\) 6.22596 6.22596i 0.232189 0.232189i −0.581417 0.813606i \(-0.697501\pi\)
0.813606 + 0.581417i \(0.197501\pi\)
\(720\) 5.50410 + 42.9675i 0.205126 + 1.60130i
\(721\) −24.1501 24.1501i −0.899397 0.899397i
\(722\) −14.6907 + 17.4468i −0.546731 + 0.649303i
\(723\) −15.9243 24.3150i −0.592232 0.904285i
\(724\) 4.71033 1.81316i 0.175058 0.0673857i
\(725\) 2.50118 38.1607i 0.0928916 1.41725i
\(726\) −11.7666 8.82714i −0.436698 0.327606i
\(727\) 15.0542 11.5515i 0.558330 0.428421i −0.290663 0.956825i \(-0.593876\pi\)
0.848993 + 0.528404i \(0.177209\pi\)
\(728\) 24.6451 + 21.8386i 0.913407 + 0.809391i
\(729\) −8.93679 25.4781i −0.330992 0.943633i
\(730\) −1.60752 79.9617i −0.0594968 2.95952i
\(731\) 38.5189 + 13.0754i 1.42467 + 0.483611i
\(732\) −3.81540 + 16.2350i −0.141021 + 0.600065i
\(733\) 16.6089 33.6796i 0.613464 1.24398i −0.339416 0.940636i \(-0.610229\pi\)
0.952880 0.303346i \(-0.0981039\pi\)
\(734\) −0.536426 + 11.8207i −0.0197999 + 0.436311i
\(735\) 28.7311 + 29.2661i 1.05976 + 1.07950i
\(736\) 4.15816 + 24.8257i 0.153272 + 0.915086i
\(737\) 2.23887i 0.0824698i
\(738\) 7.98748 3.95542i 0.294023 0.145601i
\(739\) −12.6270 18.8976i −0.464491 0.695160i 0.523089 0.852278i \(-0.324780\pi\)
−0.987580 + 0.157118i \(0.949780\pi\)
\(740\) 44.4114 13.8355i 1.63259 0.508602i
\(741\) 8.36120 4.02784i 0.307156 0.147966i
\(742\) −29.5757 48.9283i −1.08576 1.79622i
\(743\) 37.6822 + 28.9146i 1.38243 + 1.06077i 0.990012 + 0.140983i \(0.0450263\pi\)
0.392413 + 0.919789i \(0.371640\pi\)
\(744\) −1.92239 + 24.0325i −0.0704781 + 0.881074i
\(745\) −31.5186 + 24.1851i −1.15475 + 0.886074i
\(746\) −16.1736 + 41.3800i −0.592157 + 1.51503i
\(747\) −33.6564 2.83034i −1.23142 0.103557i
\(748\) 41.6362 30.3098i 1.52237 1.10823i
\(749\) 35.6314 + 31.2479i 1.30194 + 1.14177i
\(750\) −15.1328 22.1231i −0.552572 0.807821i
\(751\) 7.25430 27.0734i 0.264713 0.987923i −0.697713 0.716378i \(-0.745799\pi\)
0.962426 0.271545i \(-0.0875346\pi\)
\(752\) 1.73091 + 2.50847i 0.0631200 + 0.0914745i
\(753\) 8.28274 4.68071i 0.301840 0.170575i
\(754\) 21.2128 1.81921i 0.772525 0.0662518i
\(755\) 64.1699 + 12.7642i 2.33538 + 0.464536i
\(756\) −37.4357 + 7.93529i −1.36152 + 0.288604i
\(757\) 3.06527 4.58749i 0.111409 0.166735i −0.771575 0.636138i \(-0.780531\pi\)
0.882984 + 0.469403i \(0.155531\pi\)
\(758\) 2.75127 24.7295i 0.0999305 0.898216i
\(759\) −19.5796 + 25.0350i −0.710693 + 0.908714i
\(760\) 6.70423 15.9527i 0.243188 0.578665i
\(761\) −20.6998 + 26.9765i −0.750367 + 0.977898i 0.249587 + 0.968352i \(0.419705\pi\)
−0.999954 + 0.00954534i \(0.996962\pi\)
\(762\) 0.150300 + 13.8178i 0.00544480 + 0.500567i
\(763\) 24.0810 70.9404i 0.871791 2.56821i
\(764\) −9.01355 + 4.16549i −0.326099 + 0.150702i
\(765\) −36.5263 56.9109i −1.32061 2.05762i
\(766\) −26.4798 + 5.82278i −0.956754 + 0.210386i
\(767\) −13.5378 + 23.4481i −0.488820 + 0.846661i
\(768\) −14.9166 + 23.3559i −0.538255 + 0.842782i
\(769\) −2.75272 4.76785i −0.0992655 0.171933i 0.812115 0.583497i \(-0.198316\pi\)
−0.911381 + 0.411564i \(0.864983\pi\)
\(770\) 52.2740 + 57.2439i 1.88382 + 2.06293i
\(771\) 23.5721 + 21.0600i 0.848927 + 0.758456i
\(772\) 0.0873990 0.960982i 0.00314556 0.0345865i
\(773\) −31.3630 +