Properties

Label 552.2.bb.a.13.8
Level $552$
Weight $2$
Character 552.13
Analytic conductor $4.408$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.bb (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(48\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 13.8
Character \(\chi\) \(=\) 552.13
Dual form 552.2.bb.a.85.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.28649 + 0.587327i) q^{2} +(-0.540641 + 0.841254i) q^{3} +(1.31009 - 1.51118i) q^{4} +(2.37560 + 1.08490i) q^{5} +(0.201436 - 1.39979i) q^{6} +(1.76843 + 0.519257i) q^{7} +(-0.797864 + 2.71356i) q^{8} +(-0.415415 - 0.909632i) q^{9} +O(q^{10})\) \(q+(-1.28649 + 0.587327i) q^{2} +(-0.540641 + 0.841254i) q^{3} +(1.31009 - 1.51118i) q^{4} +(2.37560 + 1.08490i) q^{5} +(0.201436 - 1.39979i) q^{6} +(1.76843 + 0.519257i) q^{7} +(-0.797864 + 2.71356i) q^{8} +(-0.415415 - 0.909632i) q^{9} +(-3.69337 - 0.000455346i) q^{10} +(3.66757 + 3.17797i) q^{11} +(0.562992 + 1.91912i) q^{12} +(-0.735357 - 2.50439i) q^{13} +(-2.58003 + 0.370628i) q^{14} +(-2.19702 + 1.41194i) q^{15} +(-0.567307 - 3.95957i) q^{16} +(-0.317717 - 2.20977i) q^{17} +(1.06868 + 0.926245i) q^{18} +(1.84049 + 0.264623i) q^{19} +(4.75173 - 2.16863i) q^{20} +(-1.39291 + 1.20696i) q^{21} +(-6.58478 - 1.93435i) q^{22} +(4.13830 - 2.42373i) q^{23} +(-1.85144 - 2.13827i) q^{24} +(1.19216 + 1.37583i) q^{25} +(2.41692 + 2.78997i) q^{26} +(0.989821 + 0.142315i) q^{27} +(3.10149 - 1.99213i) q^{28} +(1.40144 - 0.201497i) q^{29} +(1.99717 - 3.10681i) q^{30} +(0.445741 - 0.286460i) q^{31} +(3.05539 + 4.76073i) q^{32} +(-4.65631 + 1.36722i) q^{33} +(1.70660 + 2.65623i) q^{34} +(3.63773 + 3.15211i) q^{35} +(-1.91885 - 0.563938i) q^{36} +(-6.09278 + 2.78248i) q^{37} +(-2.52319 + 0.740537i) q^{38} +(2.50439 + 0.735357i) q^{39} +(-4.83935 + 5.58073i) q^{40} +(-1.56265 + 3.42173i) q^{41} +(1.08308 - 2.37084i) q^{42} +(-0.469155 + 0.730019i) q^{43} +(9.60732 - 1.37891i) q^{44} -2.61160i q^{45} +(-3.90034 + 5.54863i) q^{46} +2.04867 q^{47} +(3.63771 + 1.66345i) q^{48} +(-3.03107 - 1.94795i) q^{49} +(-2.34176 - 1.06979i) q^{50} +(2.03075 + 0.927411i) q^{51} +(-4.74797 - 2.16974i) q^{52} +(-3.30615 + 11.2597i) q^{53} +(-1.35698 + 0.398263i) q^{54} +(5.26490 + 11.5285i) q^{55} +(-2.82000 + 4.38444i) q^{56} +(-1.21766 + 1.40526i) q^{57} +(-1.68459 + 1.08233i) q^{58} +(0.962583 + 3.27826i) q^{59} +(-0.744615 + 5.16986i) q^{60} +(1.27324 + 1.98120i) q^{61} +(-0.405194 + 0.630323i) q^{62} +(-0.262298 - 1.82432i) q^{63} +(-6.72683 - 4.33010i) q^{64} +(0.970105 - 6.74723i) q^{65} +(5.18728 - 4.49368i) q^{66} +(-3.55986 + 3.08463i) q^{67} +(-3.75559 - 2.41488i) q^{68} +(-0.198359 + 4.79173i) q^{69} +(-6.53121 - 1.91861i) q^{70} +(7.67205 + 8.85401i) q^{71} +(2.79979 - 0.401492i) q^{72} +(0.985217 - 6.85234i) q^{73} +(6.20406 - 7.15808i) q^{74} +(-1.80195 + 0.259081i) q^{75} +(2.81111 - 2.43463i) q^{76} +(4.83564 + 7.52441i) q^{77} +(-3.65376 + 0.524872i) q^{78} +(9.58201 - 2.81353i) q^{79} +(2.94804 - 10.0218i) q^{80} +(-0.654861 + 0.755750i) q^{81} +(0.000655866 - 5.31980i) q^{82} +(-12.8319 + 5.86015i) q^{83} +(-0.000908918 + 3.68617i) q^{84} +(1.64261 - 5.59422i) q^{85} +(0.174801 - 1.21471i) q^{86} +(-0.588168 + 1.28791i) q^{87} +(-11.5498 + 7.41658i) q^{88} +(-6.64268 - 4.26899i) q^{89} +(1.53387 + 3.35979i) q^{90} -4.81068i q^{91} +(1.75887 - 9.42902i) q^{92} +0.529853i q^{93} +(-2.63558 + 1.20324i) q^{94} +(4.08518 + 2.62539i) q^{95} +(-5.65685 - 0.00348710i) q^{96} +(4.94567 - 10.8295i) q^{97} +(5.04351 + 0.725782i) q^{98} +(1.36722 - 4.65631i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} + O(q^{10}) \) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} - 4q^{10} - 4q^{14} - 8q^{15} - 8q^{16} - 4q^{18} + 20q^{20} + 20q^{22} - 8q^{23} - 4q^{24} + 48q^{25} + 16q^{30} + 16q^{31} + 4q^{32} + 6q^{34} - 22q^{36} + 90q^{38} - 74q^{40} + 90q^{42} - 130q^{44} + 96q^{46} - 88q^{48} - 48q^{49} + 142q^{50} - 142q^{52} + 18q^{54} - 82q^{56} + 22q^{58} + 2q^{60} - 40q^{62} - 8q^{63} + 16q^{66} - 44q^{68} + 16q^{71} - 4q^{72} + 10q^{74} - 138q^{76} - 40q^{79} - 170q^{80} - 48q^{81} - 124q^{82} - 8q^{84} - 216q^{86} - 108q^{88} + 4q^{90} - 198q^{92} - 238q^{94} + 80q^{95} + 4q^{96} - 132q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{7}{11}\right)\) \(1\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.28649 + 0.587327i −0.909683 + 0.415303i
\(3\) −0.540641 + 0.841254i −0.312139 + 0.485698i
\(4\) 1.31009 1.51118i 0.655047 0.755588i
\(5\) 2.37560 + 1.08490i 1.06240 + 0.485182i 0.868423 0.495824i \(-0.165134\pi\)
0.193977 + 0.981006i \(0.437861\pi\)
\(6\) 0.201436 1.39979i 0.0822360 0.571464i
\(7\) 1.76843 + 0.519257i 0.668403 + 0.196261i 0.598292 0.801278i \(-0.295846\pi\)
0.0701110 + 0.997539i \(0.477665\pi\)
\(8\) −0.797864 + 2.71356i −0.282087 + 0.959389i
\(9\) −0.415415 0.909632i −0.138472 0.303211i
\(10\) −3.69337 0.000455346i −1.16795 0.000143993i
\(11\) 3.66757 + 3.17797i 1.10581 + 0.958193i 0.999347 0.0361238i \(-0.0115011\pi\)
0.106466 + 0.994316i \(0.466047\pi\)
\(12\) 0.562992 + 1.91912i 0.162522 + 0.554004i
\(13\) −0.735357 2.50439i −0.203951 0.694594i −0.996409 0.0846677i \(-0.973017\pi\)
0.792458 0.609926i \(-0.208801\pi\)
\(14\) −2.58003 + 0.370628i −0.689542 + 0.0990544i
\(15\) −2.19702 + 1.41194i −0.567269 + 0.364561i
\(16\) −0.567307 3.95957i −0.141827 0.989892i
\(17\) −0.317717 2.20977i −0.0770577 0.535948i −0.991386 0.130974i \(-0.958190\pi\)
0.914328 0.404974i \(-0.132719\pi\)
\(18\) 1.06868 + 0.926245i 0.251890 + 0.218318i
\(19\) 1.84049 + 0.264623i 0.422238 + 0.0607087i 0.350159 0.936690i \(-0.386128\pi\)
0.0720790 + 0.997399i \(0.477037\pi\)
\(20\) 4.75173 2.16863i 1.06252 0.484920i
\(21\) −1.39291 + 1.20696i −0.303958 + 0.263381i
\(22\) −6.58478 1.93435i −1.40388 0.412404i
\(23\) 4.13830 2.42373i 0.862895 0.505383i
\(24\) −1.85144 2.13827i −0.377923 0.436472i
\(25\) 1.19216 + 1.37583i 0.238432 + 0.275165i
\(26\) 2.41692 + 2.78997i 0.473998 + 0.547159i
\(27\) 0.989821 + 0.142315i 0.190491 + 0.0273885i
\(28\) 3.10149 1.99213i 0.586127 0.376477i
\(29\) 1.40144 0.201497i 0.260242 0.0374171i −0.0109589 0.999940i \(-0.503488\pi\)
0.271201 + 0.962523i \(0.412579\pi\)
\(30\) 1.99717 3.10681i 0.364631 0.567224i
\(31\) 0.445741 0.286460i 0.0800574 0.0514498i −0.500000 0.866026i \(-0.666667\pi\)
0.580057 + 0.814576i \(0.303030\pi\)
\(32\) 3.05539 + 4.76073i 0.540122 + 0.841587i
\(33\) −4.65631 + 1.36722i −0.810560 + 0.238002i
\(34\) 1.70660 + 2.65623i 0.292679 + 0.455541i
\(35\) 3.63773 + 3.15211i 0.614889 + 0.532804i
\(36\) −1.91885 0.563938i −0.319808 0.0939897i
\(37\) −6.09278 + 2.78248i −1.00165 + 0.457437i −0.847605 0.530627i \(-0.821956\pi\)
−0.154042 + 0.988064i \(0.549229\pi\)
\(38\) −2.52319 + 0.740537i −0.409315 + 0.120131i
\(39\) 2.50439 + 0.735357i 0.401024 + 0.117751i
\(40\) −4.83935 + 5.58073i −0.765168 + 0.882391i
\(41\) −1.56265 + 3.42173i −0.244045 + 0.534385i −0.991527 0.129897i \(-0.958535\pi\)
0.747482 + 0.664282i \(0.231263\pi\)
\(42\) 1.08308 2.37084i 0.167123 0.365828i
\(43\) −0.469155 + 0.730019i −0.0715454 + 0.111327i −0.875183 0.483793i \(-0.839259\pi\)
0.803637 + 0.595119i \(0.202895\pi\)
\(44\) 9.60732 1.37891i 1.44836 0.207878i
\(45\) 2.61160i 0.389315i
\(46\) −3.90034 + 5.54863i −0.575074 + 0.818101i
\(47\) 2.04867 0.298829 0.149414 0.988775i \(-0.452261\pi\)
0.149414 + 0.988775i \(0.452261\pi\)
\(48\) 3.63771 + 1.66345i 0.525058 + 0.240099i
\(49\) −3.03107 1.94795i −0.433010 0.278278i
\(50\) −2.34176 1.06979i −0.331175 0.151292i
\(51\) 2.03075 + 0.927411i 0.284362 + 0.129864i
\(52\) −4.74797 2.16974i −0.658425 0.300889i
\(53\) −3.30615 + 11.2597i −0.454134 + 1.54664i 0.340915 + 0.940094i \(0.389263\pi\)
−0.795049 + 0.606545i \(0.792555\pi\)
\(54\) −1.35698 + 0.398263i −0.184661 + 0.0541967i
\(55\) 5.26490 + 11.5285i 0.709918 + 1.55450i
\(56\) −2.82000 + 4.38444i −0.376838 + 0.585895i
\(57\) −1.21766 + 1.40526i −0.161283 + 0.186131i
\(58\) −1.68459 + 1.08233i −0.221198 + 0.142117i
\(59\) 0.962583 + 3.27826i 0.125318 + 0.426793i 0.998121 0.0612799i \(-0.0195182\pi\)
−0.872803 + 0.488073i \(0.837700\pi\)
\(60\) −0.744615 + 5.16986i −0.0961294 + 0.667426i
\(61\) 1.27324 + 1.98120i 0.163021 + 0.253666i 0.913148 0.407628i \(-0.133644\pi\)
−0.750127 + 0.661294i \(0.770008\pi\)
\(62\) −0.405194 + 0.630323i −0.0514596 + 0.0800511i
\(63\) −0.262298 1.82432i −0.0330465 0.229843i
\(64\) −6.72683 4.33010i −0.840853 0.541263i
\(65\) 0.970105 6.74723i 0.120327 0.836890i
\(66\) 5.18728 4.49368i 0.638510 0.553134i
\(67\) −3.55986 + 3.08463i −0.434906 + 0.376848i −0.844620 0.535366i \(-0.820174\pi\)
0.409714 + 0.912214i \(0.365628\pi\)
\(68\) −3.75559 2.41488i −0.455432 0.292847i
\(69\) −0.198359 + 4.79173i −0.0238796 + 0.576856i
\(70\) −6.53121 1.91861i −0.780629 0.229318i
\(71\) 7.67205 + 8.85401i 0.910504 + 1.05078i 0.998505 + 0.0546575i \(0.0174067\pi\)
−0.0880009 + 0.996120i \(0.528048\pi\)
\(72\) 2.79979 0.401492i 0.329958 0.0473162i
\(73\) 0.985217 6.85234i 0.115311 0.802005i −0.847299 0.531116i \(-0.821773\pi\)
0.962610 0.270890i \(-0.0873179\pi\)
\(74\) 6.20406 7.15808i 0.721207 0.832110i
\(75\) −1.80195 + 0.259081i −0.208071 + 0.0299161i
\(76\) 2.81111 2.43463i 0.322457 0.279271i
\(77\) 4.83564 + 7.52441i 0.551073 + 0.857486i
\(78\) −3.65376 + 0.524872i −0.413707 + 0.0594301i
\(79\) 9.58201 2.81353i 1.07806 0.316547i 0.305958 0.952045i \(-0.401023\pi\)
0.772103 + 0.635498i \(0.219205\pi\)
\(80\) 2.94804 10.0218i 0.329601 1.12047i
\(81\) −0.654861 + 0.755750i −0.0727623 + 0.0839722i
\(82\) 0.000655866 5.31980i 7.24282e−5 0.587474i
\(83\) −12.8319 + 5.86015i −1.40849 + 0.643235i −0.967173 0.254118i \(-0.918215\pi\)
−0.441314 + 0.897353i \(0.645488\pi\)
\(84\) −0.000908918 3.68617i −9.91711e−5 0.402194i
\(85\) 1.64261 5.59422i 0.178166 0.606778i
\(86\) 0.174801 1.21471i 0.0188493 0.130985i
\(87\) −0.588168 + 1.28791i −0.0630582 + 0.138078i
\(88\) −11.5498 + 7.41658i −1.23122 + 0.790611i
\(89\) −6.64268 4.26899i −0.704123 0.452512i 0.138959 0.990298i \(-0.455624\pi\)
−0.843081 + 0.537786i \(0.819261\pi\)
\(90\) 1.53387 + 3.35979i 0.161684 + 0.354153i
\(91\) 4.81068i 0.504296i
\(92\) 1.75887 9.42902i 0.183375 0.983043i
\(93\) 0.529853i 0.0549432i
\(94\) −2.63558 + 1.20324i −0.271839 + 0.124104i
\(95\) 4.08518 + 2.62539i 0.419131 + 0.269359i
\(96\) −5.65685 0.00348710i −0.577350 0.000355901i
\(97\) 4.94567 10.8295i 0.502157 1.09957i −0.473606 0.880737i \(-0.657048\pi\)
0.975762 0.218833i \(-0.0702249\pi\)
\(98\) 5.04351 + 0.725782i 0.509472 + 0.0733151i
\(99\) 1.36722 4.65631i 0.137410 0.467977i
\(100\) 3.64096 0.000897770i 0.364096 8.97770e-5i
\(101\) 11.2923 5.15701i 1.12362 0.513141i 0.235099 0.971971i \(-0.424459\pi\)
0.888524 + 0.458830i \(0.151731\pi\)
\(102\) −3.15722 0.000389246i −0.312612 3.85411e-5i
\(103\) −7.80713 + 9.00991i −0.769260 + 0.887773i −0.996285 0.0861160i \(-0.972554\pi\)
0.227026 + 0.973889i \(0.427100\pi\)
\(104\) 7.38254 + 0.00273053i 0.723918 + 0.000267750i
\(105\) −4.61843 + 1.35609i −0.450713 + 0.132341i
\(106\) −2.35981 16.4272i −0.229205 1.59555i
\(107\) −8.71496 13.5607i −0.842507 1.31097i −0.948557 0.316606i \(-0.897457\pi\)
0.106050 0.994361i \(-0.466180\pi\)
\(108\) 1.51182 1.30935i 0.145475 0.125992i
\(109\) 4.80826 0.691323i 0.460548 0.0662168i 0.0918638 0.995772i \(-0.470718\pi\)
0.368684 + 0.929555i \(0.379808\pi\)
\(110\) −13.5442 11.7391i −1.29139 1.11928i
\(111\) 0.953236 6.62990i 0.0904771 0.629282i
\(112\) 1.05279 7.29678i 0.0994795 0.689481i
\(113\) −11.6861 13.4864i −1.09933 1.26870i −0.960470 0.278384i \(-0.910201\pi\)
−0.138862 0.990312i \(-0.544344\pi\)
\(114\) 0.741160 2.52301i 0.0694159 0.236301i
\(115\) 12.4604 1.26818i 1.16194 0.118258i
\(116\) 1.53153 2.38181i 0.142199 0.221145i
\(117\) −1.97260 + 1.70927i −0.182367 + 0.158022i
\(118\) −3.16376 3.65208i −0.291248 0.336202i
\(119\) 0.585579 4.07279i 0.0536800 0.373352i
\(120\) −2.07846 7.08829i −0.189737 0.647069i
\(121\) 1.78612 + 12.4228i 0.162375 + 1.12934i
\(122\) −2.80161 1.80097i −0.253646 0.163053i
\(123\) −2.03371 3.16452i −0.183374 0.285335i
\(124\) 0.151071 1.04888i 0.0135665 0.0941924i
\(125\) −2.33941 7.96730i −0.209243 0.712617i
\(126\) 1.40892 + 2.19291i 0.125516 + 0.195360i
\(127\) −4.31607 + 4.98101i −0.382989 + 0.441993i −0.914210 0.405240i \(-0.867188\pi\)
0.531221 + 0.847233i \(0.321733\pi\)
\(128\) 11.1972 + 1.61977i 0.989698 + 0.143169i
\(129\) −0.360487 0.789356i −0.0317391 0.0694989i
\(130\) 2.71480 + 9.24998i 0.238104 + 0.811277i
\(131\) −2.85266 + 9.71528i −0.249238 + 0.848828i 0.735904 + 0.677086i \(0.236758\pi\)
−0.985142 + 0.171741i \(0.945061\pi\)
\(132\) −4.03410 + 8.82769i −0.351123 + 0.768352i
\(133\) 3.11737 + 1.42366i 0.270310 + 0.123447i
\(134\) 2.76802 6.05914i 0.239120 0.523430i
\(135\) 2.19702 + 1.41194i 0.189090 + 0.121520i
\(136\) 6.24984 + 0.900951i 0.535919 + 0.0772559i
\(137\) 8.67507 0.741161 0.370581 0.928800i \(-0.379159\pi\)
0.370581 + 0.928800i \(0.379159\pi\)
\(138\) −2.55912 6.28099i −0.217847 0.534674i
\(139\) 17.3825i 1.47436i −0.675696 0.737181i \(-0.736157\pi\)
0.675696 0.737181i \(-0.263843\pi\)
\(140\) 9.52917 1.36769i 0.805362 0.115591i
\(141\) −1.10759 + 1.72345i −0.0932761 + 0.145140i
\(142\) −15.0702 6.88457i −1.26466 0.577740i
\(143\) 5.26191 11.5220i 0.440023 0.963516i
\(144\) −3.36608 + 2.16090i −0.280507 + 0.180075i
\(145\) 3.54787 + 1.04175i 0.294635 + 0.0865126i
\(146\) 2.75709 + 9.39408i 0.228179 + 0.777460i
\(147\) 3.27744 1.49676i 0.270319 0.123450i
\(148\) −3.77730 + 12.8526i −0.310492 + 1.05648i
\(149\) 8.88083 + 7.69529i 0.727546 + 0.630422i 0.937781 0.347229i \(-0.112877\pi\)
−0.210234 + 0.977651i \(0.567423\pi\)
\(150\) 2.16602 1.39164i 0.176855 0.113627i
\(151\) 9.18412 2.69670i 0.747393 0.219454i 0.114210 0.993457i \(-0.463566\pi\)
0.633183 + 0.774002i \(0.281748\pi\)
\(152\) −2.18653 + 4.78316i −0.177351 + 0.387965i
\(153\) −1.87809 + 1.20698i −0.151835 + 0.0975783i
\(154\) −10.6403 6.83995i −0.857418 0.551179i
\(155\) 1.36968 0.196931i 0.110015 0.0158178i
\(156\) 4.39225 2.82120i 0.351661 0.225876i
\(157\) −21.5541 3.09902i −1.72021 0.247328i −0.789672 0.613530i \(-0.789749\pi\)
−0.930536 + 0.366201i \(0.880658\pi\)
\(158\) −10.6747 + 9.24734i −0.849231 + 0.735679i
\(159\) −7.68483 8.86876i −0.609446 0.703339i
\(160\) 2.09347 + 14.6244i 0.165503 + 1.15616i
\(161\) 8.57682 2.13735i 0.675948 0.168447i
\(162\) 0.398597 1.35688i 0.0313168 0.106606i
\(163\) 6.42240 5.56505i 0.503042 0.435888i −0.366009 0.930611i \(-0.619276\pi\)
0.869051 + 0.494723i \(0.164731\pi\)
\(164\) 3.12362 + 6.84424i 0.243914 + 0.534445i
\(165\) −12.5448 1.80367i −0.976613 0.140416i
\(166\) 13.0663 15.0755i 1.01414 1.17009i
\(167\) 1.95777 + 13.6166i 0.151497 + 1.05368i 0.913712 + 0.406361i \(0.133203\pi\)
−0.762215 + 0.647323i \(0.775888\pi\)
\(168\) −2.16382 4.74274i −0.166942 0.365910i
\(169\) 5.20505 3.34508i 0.400389 0.257314i
\(170\) 1.17244 + 8.16163i 0.0899220 + 0.625969i
\(171\) −0.523859 1.78410i −0.0400605 0.136434i
\(172\) 0.488550 + 1.66537i 0.0372516 + 0.126983i
\(173\) −10.1829 8.82351i −0.774190 0.670839i 0.175343 0.984507i \(-0.443897\pi\)
−0.949533 + 0.313668i \(0.898442\pi\)
\(174\) 0.000246862 2.00232i 1.87145e−5 0.151796i
\(175\) 1.39384 + 3.05209i 0.105364 + 0.230716i
\(176\) 10.5027 16.3249i 0.791673 1.23053i
\(177\) −3.27826 0.962583i −0.246409 0.0723522i
\(178\) 11.0530 + 1.59057i 0.828458 + 0.119219i
\(179\) −23.5580 10.7586i −1.76081 0.804133i −0.984864 0.173328i \(-0.944548\pi\)
−0.775941 0.630805i \(-0.782725\pi\)
\(180\) −3.94659 3.42145i −0.294162 0.255020i
\(181\) −0.832132 + 1.29482i −0.0618519 + 0.0962434i −0.870802 0.491634i \(-0.836400\pi\)
0.808950 + 0.587877i \(0.200036\pi\)
\(182\) 2.82544 + 6.18887i 0.209436 + 0.458750i
\(183\) −2.35505 −0.174090
\(184\) 3.27515 + 13.1633i 0.241447 + 0.970414i
\(185\) −17.4927 −1.28609
\(186\) −0.311197 0.681649i −0.0228181 0.0499809i
\(187\) 5.85732 9.11417i 0.428330 0.666494i
\(188\) 2.68394 3.09589i 0.195747 0.225791i
\(189\) 1.67653 + 0.765645i 0.121950 + 0.0556925i
\(190\) −6.79750 0.978188i −0.493142 0.0709652i
\(191\) −23.4228 6.87754i −1.69481 0.497641i −0.715264 0.698855i \(-0.753693\pi\)
−0.979547 + 0.201213i \(0.935512\pi\)
\(192\) 7.27951 3.31794i 0.525354 0.239451i
\(193\) −0.511863 1.12082i −0.0368447 0.0806786i 0.890315 0.455346i \(-0.150484\pi\)
−0.927159 + 0.374667i \(0.877757\pi\)
\(194\) −0.00207576 + 16.8367i −0.000149031 + 1.20881i
\(195\) 5.15165 + 4.46393i 0.368917 + 0.319669i
\(196\) −6.91468 + 2.02848i −0.493906 + 0.144892i
\(197\) −0.833382 2.83824i −0.0593760 0.202216i 0.924463 0.381272i \(-0.124514\pi\)
−0.983839 + 0.179056i \(0.942696\pi\)
\(198\) 0.975872 + 6.79328i 0.0693522 + 0.482778i
\(199\) 7.26635 4.66980i 0.515098 0.331033i −0.257132 0.966376i \(-0.582778\pi\)
0.772230 + 0.635343i \(0.219141\pi\)
\(200\) −4.68457 + 2.13728i −0.331249 + 0.151128i
\(201\) −0.670355 4.66242i −0.0472832 0.328862i
\(202\) −11.4985 + 13.2667i −0.809032 + 0.933440i
\(203\) 2.58298 + 0.371377i 0.181290 + 0.0260655i
\(204\) 4.06195 1.85382i 0.284394 0.129793i
\(205\) −7.42447 + 6.43334i −0.518548 + 0.449324i
\(206\) 4.75200 16.1765i 0.331088 1.12707i
\(207\) −3.92382 2.75747i −0.272724 0.191658i
\(208\) −9.49914 + 4.33245i −0.658647 + 0.300402i
\(209\) 5.90917 + 6.81955i 0.408746 + 0.471718i
\(210\) 5.14508 4.45713i 0.355044 0.307571i
\(211\) 26.3552 + 3.78931i 1.81437 + 0.260867i 0.964111 0.265501i \(-0.0855373\pi\)
0.850257 + 0.526368i \(0.176446\pi\)
\(212\) 12.6840 + 19.7474i 0.871143 + 1.35626i
\(213\) −11.5963 + 1.66729i −0.794565 + 0.114241i
\(214\) 19.1763 + 12.3272i 1.31086 + 0.842669i
\(215\) −1.90652 + 1.22525i −0.130024 + 0.0835611i
\(216\) −1.17592 + 2.57239i −0.0800114 + 0.175029i
\(217\) 0.937006 0.275130i 0.0636081 0.0186770i
\(218\) −5.77973 + 3.71340i −0.391452 + 0.251503i
\(219\) 5.23190 + 4.53347i 0.353539 + 0.306344i
\(220\) 24.3191 + 7.14725i 1.63960 + 0.481868i
\(221\) −5.30050 + 2.42066i −0.356550 + 0.162831i
\(222\) 2.66759 + 9.08914i 0.179037 + 0.610023i
\(223\) 2.91073 + 0.854668i 0.194917 + 0.0572328i 0.377734 0.925914i \(-0.376703\pi\)
−0.182817 + 0.983147i \(0.558522\pi\)
\(224\) 2.93119 + 10.0055i 0.195849 + 0.668523i
\(225\) 0.756254 1.65597i 0.0504170 0.110398i
\(226\) 22.9549 + 10.4866i 1.52694 + 0.697556i
\(227\) −5.86057 + 9.11922i −0.388979 + 0.605264i −0.979424 0.201815i \(-0.935316\pi\)
0.590444 + 0.807078i \(0.298953\pi\)
\(228\) 0.528338 + 3.68112i 0.0349901 + 0.243788i
\(229\) 15.9631i 1.05487i −0.849595 0.527435i \(-0.823154\pi\)
0.849595 0.527435i \(-0.176846\pi\)
\(230\) −15.2854 + 8.94985i −1.00789 + 0.590136i
\(231\) −8.94428 −0.588491
\(232\) −0.571386 + 3.96367i −0.0375134 + 0.260228i
\(233\) −22.0074 14.1433i −1.44175 0.926556i −0.999561 0.0296343i \(-0.990566\pi\)
−0.442189 0.896922i \(-0.645798\pi\)
\(234\) 1.53382 3.35751i 0.100269 0.219487i
\(235\) 4.86681 + 2.22260i 0.317476 + 0.144986i
\(236\) 6.21510 + 2.84019i 0.404569 + 0.184881i
\(237\) −2.81353 + 9.58201i −0.182759 + 0.622419i
\(238\) 1.63872 + 5.58352i 0.106223 + 0.361926i
\(239\) 8.39636 + 18.3855i 0.543115 + 1.18926i 0.959924 + 0.280262i \(0.0904213\pi\)
−0.416808 + 0.908994i \(0.636851\pi\)
\(240\) 6.83706 + 7.89825i 0.441330 + 0.509830i
\(241\) −9.61813 + 11.0999i −0.619558 + 0.715008i −0.975623 0.219453i \(-0.929573\pi\)
0.356065 + 0.934461i \(0.384118\pi\)
\(242\) −9.59405 14.9327i −0.616729 0.959909i
\(243\) −0.281733 0.959493i −0.0180732 0.0615515i
\(244\) 4.66200 + 0.671467i 0.298454 + 0.0429863i
\(245\) −5.08727 7.91595i −0.325014 0.505732i
\(246\) 4.47495 + 2.87665i 0.285312 + 0.183409i
\(247\) −0.690699 4.80391i −0.0439481 0.305666i
\(248\) 0.421687 + 1.43810i 0.0267771 + 0.0913195i
\(249\) 2.00760 13.9631i 0.127226 0.884878i
\(250\) 7.68903 + 8.87582i 0.486297 + 0.561356i
\(251\) −5.23567 + 4.53673i −0.330472 + 0.286356i −0.804253 0.594287i \(-0.797434\pi\)
0.473781 + 0.880643i \(0.342889\pi\)
\(252\) −3.10051 1.99366i −0.195314 0.125589i
\(253\) 22.8800 + 4.26216i 1.43846 + 0.267960i
\(254\) 2.62708 8.94295i 0.164838 0.561131i
\(255\) 3.81809 + 4.40631i 0.239098 + 0.275934i
\(256\) −15.3563 + 4.49258i −0.959770 + 0.280786i
\(257\) −2.86044 + 19.8948i −0.178429 + 1.24100i 0.681969 + 0.731381i \(0.261124\pi\)
−0.860398 + 0.509622i \(0.829785\pi\)
\(258\) 0.927371 + 0.803772i 0.0577356 + 0.0500407i
\(259\) −12.2195 + 1.75689i −0.759281 + 0.109168i
\(260\) −8.92532 10.3055i −0.553525 0.639120i
\(261\) −0.765469 1.19109i −0.0473814 0.0737268i
\(262\) −2.03613 14.1740i −0.125793 0.875674i
\(263\) −9.32323 + 2.73755i −0.574895 + 0.168804i −0.556240 0.831022i \(-0.687757\pi\)
−0.0186547 + 0.999826i \(0.505938\pi\)
\(264\) 0.00507675 13.7260i 0.000312452 0.844779i
\(265\) −20.0697 + 23.1617i −1.23287 + 1.42281i
\(266\) −4.84661 0.000597527i −0.297164 3.66367e-5i
\(267\) 7.18261 3.28019i 0.439568 0.200744i
\(268\) −0.00232292 + 9.42073i −0.000141895 + 0.575463i
\(269\) 6.63849 22.6086i 0.404756 1.37847i −0.465140 0.885237i \(-0.653996\pi\)
0.869896 0.493235i \(-0.164186\pi\)
\(270\) −3.65571 0.526072i −0.222479 0.0320157i
\(271\) 10.8107 23.6720i 0.656700 1.43797i −0.228865 0.973458i \(-0.573501\pi\)
0.885565 0.464515i \(-0.153771\pi\)
\(272\) −8.56949 + 2.51164i −0.519601 + 0.152290i
\(273\) 4.04700 + 2.60085i 0.244936 + 0.157411i
\(274\) −11.1604 + 5.09510i −0.674222 + 0.307806i
\(275\) 8.83458i 0.532745i
\(276\) 6.98128 + 6.57737i 0.420223 + 0.395911i
\(277\) 5.40470i 0.324737i 0.986730 + 0.162369i \(0.0519134\pi\)
−0.986730 + 0.162369i \(0.948087\pi\)
\(278\) 10.2092 + 22.3623i 0.612306 + 1.34120i
\(279\) −0.445741 0.286460i −0.0266858 0.0171499i
\(280\) −11.4559 + 7.35625i −0.684619 + 0.439620i
\(281\) −0.436338 + 0.955446i −0.0260297 + 0.0569972i −0.922200 0.386713i \(-0.873611\pi\)
0.896171 + 0.443710i \(0.146338\pi\)
\(282\) 0.412675 2.86771i 0.0245745 0.170770i
\(283\) 7.33493 24.9805i 0.436017 1.48494i −0.389748 0.920921i \(-0.627438\pi\)
0.825765 0.564015i \(-0.190744\pi\)
\(284\) 23.4311 + 0.00577752i 1.39038 + 0.000342833i
\(285\) −4.41724 + 2.01728i −0.261654 + 0.119494i
\(286\) −0.00220849 + 17.9133i −0.000130591 + 1.05924i
\(287\) −4.54020 + 5.23967i −0.267999 + 0.309288i
\(288\) 3.06126 4.75696i 0.180386 0.280307i
\(289\) 11.5292 3.38529i 0.678191 0.199135i
\(290\) −5.17614 + 0.743565i −0.303953 + 0.0436636i
\(291\) 6.43653 + 10.0154i 0.377316 + 0.587115i
\(292\) −9.06436 10.4660i −0.530452 0.612479i
\(293\) 33.7146 4.84743i 1.96963 0.283190i 0.970520 0.241020i \(-0.0774821\pi\)
0.999110 0.0421698i \(-0.0134270\pi\)
\(294\) −3.33729 + 3.85048i −0.194635 + 0.224565i
\(295\) −1.26987 + 8.83213i −0.0739346 + 0.514227i
\(296\) −2.68922 18.7532i −0.156308 1.09001i
\(297\) 3.17797 + 3.66757i 0.184404 + 0.212814i
\(298\) −15.9447 4.68393i −0.923653 0.271333i
\(299\) −9.11311 8.58163i −0.527025 0.496288i
\(300\) −1.96921 + 3.06248i −0.113692 + 0.176813i
\(301\) −1.20873 + 1.04737i −0.0696702 + 0.0603696i
\(302\) −10.2314 + 8.86335i −0.588751 + 0.510029i
\(303\) −1.76671 + 12.2877i −0.101495 + 0.705913i
\(304\) 0.00366789 7.43768i 0.000210368 0.426580i
\(305\) 0.875302 + 6.08786i 0.0501197 + 0.348590i
\(306\) 1.70725 2.65581i 0.0975970 0.151823i
\(307\) −6.75808 10.5158i −0.385704 0.600167i 0.593060 0.805158i \(-0.297920\pi\)
−0.978764 + 0.204991i \(0.934283\pi\)
\(308\) 17.7059 + 2.55017i 1.00888 + 0.145310i
\(309\) −3.35876 11.4389i −0.191073 0.650736i
\(310\) −1.64641 + 1.05780i −0.0935101 + 0.0600790i
\(311\) −9.20654 + 10.6249i −0.522055 + 0.602483i −0.954144 0.299347i \(-0.903231\pi\)
0.432089 + 0.901831i \(0.357777\pi\)
\(312\) −3.99360 + 6.20911i −0.226093 + 0.351522i
\(313\) 9.81781 + 21.4980i 0.554935 + 1.21514i 0.954439 + 0.298407i \(0.0964553\pi\)
−0.399503 + 0.916732i \(0.630817\pi\)
\(314\) 29.5492 8.67248i 1.66756 0.489416i
\(315\) 1.35609 4.61843i 0.0764072 0.260219i
\(316\) 8.30159 18.1661i 0.467001 1.02192i
\(317\) 13.1275 + 5.99514i 0.737315 + 0.336720i 0.748426 0.663218i \(-0.230810\pi\)
−0.0111116 + 0.999938i \(0.503537\pi\)
\(318\) 15.0953 + 6.89604i 0.846502 + 0.386710i
\(319\) 5.78024 + 3.71474i 0.323631 + 0.207985i
\(320\) −11.2825 17.5845i −0.630712 0.983005i
\(321\) 16.1197 0.899713
\(322\) −9.77864 + 7.78708i −0.544942 + 0.433957i
\(323\) 4.15114i 0.230976i
\(324\) 0.284142 + 1.97971i 0.0157856 + 0.109984i
\(325\) 2.56895 3.99736i 0.142500 0.221734i
\(326\) −4.99383 + 10.9314i −0.276583 + 0.605435i
\(327\) −2.01796 + 4.41872i −0.111594 + 0.244356i
\(328\) −8.03830 6.97043i −0.443841 0.384878i
\(329\) 3.62292 + 1.06378i 0.199738 + 0.0586483i
\(330\) 17.1981 5.04751i 0.946724 0.277856i
\(331\) −29.9583 + 13.6815i −1.64666 + 0.752004i −0.999942 0.0107259i \(-0.996586\pi\)
−0.646717 + 0.762730i \(0.723858\pi\)
\(332\) −7.95533 + 27.0687i −0.436605 + 1.48559i
\(333\) 5.06207 + 4.38631i 0.277400 + 0.240368i
\(334\) −10.5160 16.3677i −0.575413 0.895602i
\(335\) −11.8033 + 3.46577i −0.644884 + 0.189355i
\(336\) 5.56926 + 4.83060i 0.303828 + 0.263531i
\(337\) −11.2877 + 7.25414i −0.614878 + 0.395158i −0.810683 0.585485i \(-0.800904\pi\)
0.195806 + 0.980643i \(0.437268\pi\)
\(338\) −4.73157 + 7.36047i −0.257363 + 0.400357i
\(339\) 17.6635 2.53962i 0.959347 0.137933i
\(340\) −6.30187 9.81123i −0.341767 0.532088i
\(341\) 2.54514 + 0.365937i 0.137827 + 0.0198166i
\(342\) 1.72179 + 1.98754i 0.0931036 + 0.107474i
\(343\) −12.7975 14.7691i −0.690999 0.797456i
\(344\) −1.60663 1.85553i −0.0866236 0.100044i
\(345\) −5.66977 + 11.1680i −0.305250 + 0.601266i
\(346\) 18.2824 + 5.37065i 0.982869 + 0.288728i
\(347\) 9.24581 8.01154i 0.496341 0.430082i −0.370376 0.928882i \(-0.620771\pi\)
0.866717 + 0.498800i \(0.166226\pi\)
\(348\) 1.17570 + 2.57611i 0.0630241 + 0.138094i
\(349\) 1.85621 + 0.266883i 0.0993606 + 0.0142859i 0.191816 0.981431i \(-0.438562\pi\)
−0.0924552 + 0.995717i \(0.529471\pi\)
\(350\) −3.58573 3.10783i −0.191665 0.166120i
\(351\) −0.371459 2.58356i −0.0198270 0.137900i
\(352\) −3.92359 + 27.1702i −0.209128 + 1.44818i
\(353\) 31.1623 20.0268i 1.65860 1.06592i 0.738490 0.674264i \(-0.235539\pi\)
0.920112 0.391655i \(-0.128097\pi\)
\(354\) 4.78279 0.687059i 0.254202 0.0365168i
\(355\) 8.61999 + 29.3570i 0.457501 + 1.55811i
\(356\) −15.1537 + 4.44548i −0.803146 + 0.235610i
\(357\) 3.10966 + 2.69454i 0.164581 + 0.142610i
\(358\) 36.6258 + 0.00451551i 1.93573 + 0.000238652i
\(359\) −1.19107 2.60807i −0.0628622 0.137649i 0.875593 0.483049i \(-0.160471\pi\)
−0.938456 + 0.345400i \(0.887743\pi\)
\(360\) 7.08675 + 2.08370i 0.373504 + 0.109821i
\(361\) −14.9130 4.37885i −0.784894 0.230466i
\(362\) 0.310042 2.15450i 0.0162954 0.113238i
\(363\) −11.4163 5.21367i −0.599203 0.273647i
\(364\) −7.26978 6.30244i −0.381040 0.330338i
\(365\) 9.77458 15.2095i 0.511625 0.796104i
\(366\) 3.02974 1.38319i 0.158367 0.0723003i
\(367\) 21.4917 1.12186 0.560929 0.827864i \(-0.310444\pi\)
0.560929 + 0.827864i \(0.310444\pi\)
\(368\) −11.9446 15.0109i −0.622656 0.782496i
\(369\) 3.76167 0.195825
\(370\) 22.5042 10.2740i 1.16994 0.534117i
\(371\) −11.6934 + 18.1952i −0.607089 + 0.944649i
\(372\) 0.800701 + 0.694157i 0.0415144 + 0.0359904i
\(373\) −15.9124 7.26694i −0.823912 0.376268i −0.0415840 0.999135i \(-0.513240\pi\)
−0.782328 + 0.622867i \(0.785968\pi\)
\(374\) −2.18237 + 15.1654i −0.112848 + 0.784185i
\(375\) 7.96730 + 2.33941i 0.411429 + 0.120807i
\(376\) −1.63456 + 5.55918i −0.0842958 + 0.286693i
\(377\) −1.53519 3.36160i −0.0790663 0.173131i
\(378\) −2.60652 0.000321351i −0.134065 1.65285e-5i
\(379\) 3.17370 + 2.75002i 0.163022 + 0.141259i 0.732552 0.680711i \(-0.238329\pi\)
−0.569530 + 0.821971i \(0.692875\pi\)
\(380\) 9.31940 2.73393i 0.478075 0.140248i
\(381\) −1.85685 6.32385i −0.0951293 0.323981i
\(382\) 34.1724 4.90895i 1.74841 0.251164i
\(383\) −4.02529 + 2.58690i −0.205683 + 0.132184i −0.639427 0.768852i \(-0.720828\pi\)
0.433745 + 0.901036i \(0.357192\pi\)
\(384\) −7.41628 + 8.54393i −0.378460 + 0.436006i
\(385\) 3.32432 + 23.1212i 0.169423 + 1.17836i
\(386\) 1.31679 + 1.14129i 0.0670230 + 0.0580903i
\(387\) 0.858942 + 0.123497i 0.0436625 + 0.00627772i
\(388\) −9.88600 21.6614i −0.501885 1.09969i
\(389\) 3.82435 3.31382i 0.193902 0.168017i −0.552499 0.833514i \(-0.686326\pi\)
0.746401 + 0.665497i \(0.231780\pi\)
\(390\) −9.24931 2.71708i −0.468357 0.137585i
\(391\) −6.67070 8.37463i −0.337352 0.423523i
\(392\) 7.70426 6.67079i 0.389124 0.336926i
\(393\) −6.63074 7.65229i −0.334477 0.386007i
\(394\) 2.73911 + 3.16189i 0.137994 + 0.159294i
\(395\) 25.8154 + 3.71170i 1.29891 + 0.186756i
\(396\) −5.24532 8.16631i −0.263587 0.410373i
\(397\) −5.99768 + 0.862337i −0.301015 + 0.0432794i −0.291168 0.956672i \(-0.594044\pi\)
−0.00984753 + 0.999952i \(0.503135\pi\)
\(398\) −6.60536 + 10.2754i −0.331097 + 0.515057i
\(399\) −2.88303 + 1.85281i −0.144332 + 0.0927567i
\(400\) 4.77135 5.50095i 0.238568 0.275048i
\(401\) −26.5150 + 7.78550i −1.32409 + 0.388789i −0.865969 0.500098i \(-0.833297\pi\)
−0.458126 + 0.888887i \(0.651479\pi\)
\(402\) 3.60077 + 5.60443i 0.179590 + 0.279523i
\(403\) −1.04519 0.905660i −0.0520645 0.0451142i
\(404\) 7.00079 23.8208i 0.348302 1.18513i
\(405\) −2.37560 + 1.08490i −0.118044 + 0.0539091i
\(406\) −3.54109 + 1.03928i −0.175741 + 0.0515788i
\(407\) −31.1883 9.15772i −1.54595 0.453931i
\(408\) −4.13685 + 4.77061i −0.204804 + 0.236180i
\(409\) 13.7237 30.0506i 0.678592 1.48591i −0.185536 0.982637i \(-0.559402\pi\)
0.864128 0.503272i \(-0.167870\pi\)
\(410\) 5.77301 12.6370i 0.285109 0.624097i
\(411\) −4.69010 + 7.29793i −0.231345 + 0.359980i
\(412\) 3.38748 + 23.6018i 0.166889 + 1.16278i
\(413\) 6.29719i 0.309864i
\(414\) 6.66748 + 1.24289i 0.327689 + 0.0610847i
\(415\) −36.8412 −1.80846
\(416\) 9.67595 11.1527i 0.474403 0.546808i
\(417\) 14.6231 + 9.39767i 0.716094 + 0.460206i
\(418\) −11.6074 5.30264i −0.567735 0.259360i
\(419\) −25.0576 11.4434i −1.22414 0.559047i −0.304766 0.952427i \(-0.598578\pi\)
−0.919376 + 0.393381i \(0.871305\pi\)
\(420\) −4.00128 + 8.75588i −0.195243 + 0.427243i
\(421\) −8.96532 + 30.5331i −0.436943 + 1.48809i 0.387353 + 0.921932i \(0.373390\pi\)
−0.824296 + 0.566160i \(0.808429\pi\)
\(422\) −36.1312 + 10.6042i −1.75884 + 0.516206i
\(423\) −0.851046 1.86353i −0.0413793 0.0906080i
\(424\) −27.9160 17.9551i −1.35572 0.871979i
\(425\) 2.66149 3.07152i 0.129101 0.148991i
\(426\) 13.9392 8.95577i 0.675357 0.433908i
\(427\) 1.22288 + 4.16474i 0.0591792 + 0.201546i
\(428\) −31.9101 4.59601i −1.54243 0.222156i
\(429\) 6.84810 + 10.6558i 0.330629 + 0.514469i
\(430\) 1.73309 2.69601i 0.0835771 0.130013i
\(431\) −3.79483 26.3936i −0.182790 1.27134i −0.850126 0.526579i \(-0.823475\pi\)
0.667336 0.744757i \(-0.267435\pi\)
\(432\) 0.00197260 4.00000i 9.49069e−5 0.192450i
\(433\) 1.61112 11.2056i 0.0774255 0.538506i −0.913784 0.406201i \(-0.866853\pi\)
0.991209 0.132305i \(-0.0422377\pi\)
\(434\) −1.04385 + 0.904280i −0.0501066 + 0.0434068i
\(435\) −2.79450 + 2.42145i −0.133986 + 0.116100i
\(436\) 5.25456 8.17183i 0.251648 0.391359i
\(437\) 8.25789 3.36578i 0.395028 0.161007i
\(438\) −9.39340 2.75941i −0.448834 0.131850i
\(439\) −2.24901 2.59550i −0.107340 0.123876i 0.699537 0.714596i \(-0.253389\pi\)
−0.806877 + 0.590719i \(0.798844\pi\)
\(440\) −35.4840 + 5.08843i −1.69163 + 0.242582i
\(441\) −0.512766 + 3.56636i −0.0244174 + 0.169827i
\(442\) 5.39730 6.22727i 0.256724 0.296201i
\(443\) 7.73978 1.11281i 0.367728 0.0528713i 0.0440259 0.999030i \(-0.485982\pi\)
0.323702 + 0.946159i \(0.395072\pi\)
\(444\) −8.77012 10.1263i −0.416211 0.480573i
\(445\) −11.1489 17.3481i −0.528509 0.822377i
\(446\) −4.24658 + 0.610032i −0.201082 + 0.0288859i
\(447\) −11.2750 + 3.31065i −0.533291 + 0.156588i
\(448\) −9.64747 11.1504i −0.455800 0.526808i
\(449\) 16.4297 18.9608i 0.775363 0.894817i −0.221402 0.975183i \(-0.571063\pi\)
0.996765 + 0.0803657i \(0.0256088\pi\)
\(450\) −0.000317410 2.57455i −1.49628e−5 0.121365i
\(451\) −16.6053 + 7.58338i −0.781912 + 0.357087i
\(452\) −35.6902 0.00880032i −1.67873 0.000413932i
\(453\) −2.69670 + 9.18412i −0.126702 + 0.431508i
\(454\) 2.18357 15.1738i 0.102480 0.712143i
\(455\) 5.21910 11.4282i 0.244675 0.535764i
\(456\) −2.84172 4.42540i −0.133076 0.207238i
\(457\) 6.94514 + 4.46337i 0.324880 + 0.208788i 0.692906 0.721028i \(-0.256330\pi\)
−0.368026 + 0.929815i \(0.619966\pi\)
\(458\) 9.37555 + 20.5363i 0.438091 + 0.959598i
\(459\) 2.23249i 0.104204i
\(460\) 14.4079 20.4914i 0.671773 0.955415i
\(461\) 5.22218i 0.243221i −0.992578 0.121611i \(-0.961194\pi\)
0.992578 0.121611i \(-0.0388059\pi\)
\(462\) 11.5067 5.25322i 0.535340 0.244402i
\(463\) 1.83891 + 1.18180i 0.0854615 + 0.0549228i 0.582674 0.812706i \(-0.302007\pi\)
−0.497212 + 0.867629i \(0.665643\pi\)
\(464\) −1.59289 5.43480i −0.0739481 0.252304i
\(465\) −0.574837 + 1.25872i −0.0266574 + 0.0583717i
\(466\) 36.6189 + 5.26961i 1.69634 + 0.244110i
\(467\) −4.80858 + 16.3765i −0.222515 + 0.757815i 0.770250 + 0.637742i \(0.220131\pi\)
−0.992765 + 0.120073i \(0.961687\pi\)
\(468\) −0.00128718 + 5.22025i −5.95001e−5 + 0.241306i
\(469\) −7.89707 + 3.60647i −0.364653 + 0.166531i
\(470\) −7.56647 0.000932853i −0.349015 4.30293e-5i
\(471\) 14.2601 16.4570i 0.657071 0.758300i
\(472\) −9.66376 0.00357427i −0.444811 0.000164519i
\(473\) −4.04063 + 1.18644i −0.185788 + 0.0545524i
\(474\) −2.00820 13.9796i −0.0922398 0.642104i
\(475\) 1.83009 + 2.84767i 0.0839702 + 0.130660i
\(476\) −5.38754 6.22066i −0.246938 0.285123i
\(477\) 11.6156 1.67007i 0.531842 0.0764674i
\(478\) −21.6001 18.7212i −0.987964 0.856289i
\(479\) 1.52925 10.6361i 0.0698730 0.485977i −0.924596 0.380949i \(-0.875597\pi\)
0.994469 0.105029i \(-0.0334935\pi\)
\(480\) −13.4346 6.14540i −0.613204 0.280498i
\(481\) 11.4488 + 13.2126i 0.522020 + 0.602444i
\(482\) 5.85431 19.9289i 0.266657 0.907735i
\(483\) −2.83892 + 8.37082i −0.129175 + 0.380886i
\(484\) 21.1130 + 13.5758i 0.959681 + 0.617084i
\(485\) 23.4979 20.3610i 1.06698 0.924546i
\(486\) 0.925981 + 1.06891i 0.0420034 + 0.0484865i
\(487\) 2.69121 18.7178i 0.121951 0.848185i −0.833392 0.552683i \(-0.813604\pi\)
0.955342 0.295502i \(-0.0954869\pi\)
\(488\) −6.39196 + 1.87428i −0.289351 + 0.0848448i
\(489\) 1.20940 + 8.41156i 0.0546910 + 0.380384i
\(490\) 11.1940 + 7.19587i 0.505692 + 0.325076i
\(491\) −10.9268 17.0024i −0.493119 0.767308i 0.502117 0.864799i \(-0.332555\pi\)
−0.995236 + 0.0974913i \(0.968918\pi\)
\(492\) −7.44649 1.07252i −0.335714 0.0483529i
\(493\) −0.890525 3.03285i −0.0401072 0.136593i
\(494\) 3.71004 + 5.77450i 0.166923 + 0.259807i
\(495\) 8.29959 9.57824i 0.373039 0.430510i
\(496\) −1.38713 1.60243i −0.0622840 0.0719512i
\(497\) 8.96994 + 19.6414i 0.402357 + 0.881039i
\(498\) 5.61819 + 19.1425i 0.251757 + 0.857796i
\(499\) −8.56623 + 29.1739i −0.383477 + 1.30600i 0.511266 + 0.859422i \(0.329177\pi\)
−0.894743 + 0.446581i \(0.852642\pi\)
\(500\) −15.1048 6.90265i −0.675509 0.308696i
\(501\) −12.5135 5.71471i −0.559061 0.255314i
\(502\) 4.07107 8.91149i 0.181701 0.397739i
\(503\) 26.9415 + 17.3142i 1.20126 + 0.772003i 0.979174 0.203024i \(-0.0650769\pi\)
0.222087 + 0.975027i \(0.428713\pi\)
\(504\) 5.15970 + 0.743800i 0.229831 + 0.0331315i
\(505\) 32.4207 1.44270
\(506\) −31.9381 + 7.95484i −1.41982 + 0.353636i
\(507\) 6.18726i 0.274786i
\(508\) 1.87273 + 13.0479i 0.0830888 + 0.578909i
\(509\) −11.8980 + 18.5136i −0.527368 + 0.820601i −0.998096 0.0616775i \(-0.980355\pi\)
0.470728 + 0.882278i \(0.343991\pi\)
\(510\) −7.49987 3.42619i −0.332100 0.151714i
\(511\) 5.30041 11.6063i 0.234476 0.513432i
\(512\) 17.1171 14.7988i 0.756476 0.654022i
\(513\) 1.78410 + 0.523859i 0.0787699 + 0.0231289i
\(514\) −8.00483 27.2744i −0.353078 1.20302i
\(515\) −28.3215 + 12.9340i −1.24799 + 0.569939i
\(516\) −1.66513 0.489371i −0.0733031 0.0215434i
\(517\) 7.51362 + 6.51059i 0.330449 + 0.286335i
\(518\) 14.6883 9.43704i 0.645367 0.414640i
\(519\) 12.9281 3.79603i 0.567480 0.166627i
\(520\) 17.5350 + 8.01581i 0.768961 + 0.351516i
\(521\) 12.3936 7.96489i 0.542974 0.348948i −0.240227 0.970717i \(-0.577222\pi\)
0.783201 + 0.621769i \(0.213586\pi\)
\(522\) 1.68433 + 1.08274i 0.0737210 + 0.0473905i
\(523\) 22.6053 3.25016i 0.988463 0.142119i 0.370927 0.928662i \(-0.379040\pi\)
0.617536 + 0.786543i \(0.288131\pi\)
\(524\) 10.9442 + 17.0388i 0.478101 + 0.744343i
\(525\) −3.32115 0.477509i −0.144947 0.0208402i
\(526\) 10.3864 8.99760i 0.452867 0.392314i
\(527\) −0.774630 0.893971i −0.0337434 0.0389420i
\(528\) 8.05514 + 17.6613i 0.350555 + 0.768611i
\(529\) 11.2510 20.0603i 0.489175 0.872185i
\(530\) 12.2159 41.5847i 0.530626 1.80632i
\(531\) 2.58214 2.23743i 0.112055 0.0970964i
\(532\) 6.23544 2.84577i 0.270341 0.123380i
\(533\) 9.71848 + 1.39731i 0.420954 + 0.0605240i
\(534\) −7.31378 + 8.43846i −0.316498 + 0.365168i
\(535\) −5.99120 41.6697i −0.259022 1.80154i
\(536\) −5.53006 12.1210i −0.238862 0.523548i
\(537\) 21.7871 14.0017i 0.940182 0.604218i
\(538\) 4.73833 + 32.9847i 0.204284 + 1.42207i
\(539\) −4.92613 16.7769i −0.212184 0.722631i
\(540\) 5.01200 1.47031i 0.215682 0.0632722i
\(541\) 31.9033 + 27.6444i 1.37163 + 1.18853i 0.960942 + 0.276750i \(0.0892572\pi\)
0.410689 + 0.911775i \(0.365288\pi\)
\(542\) −0.00453737 + 36.8031i −0.000194897 + 1.58083i
\(543\) −0.639389 1.40007i −0.0274388 0.0600826i
\(544\) 9.54937 8.26428i 0.409426 0.354328i
\(545\) 12.1725 + 3.57417i 0.521413 + 0.153101i
\(546\) −6.73396 0.969045i −0.288187 0.0414713i
\(547\) −18.4816 8.44026i −0.790216 0.360880i −0.0209275 0.999781i \(-0.506662\pi\)
−0.769289 + 0.638901i \(0.779389\pi\)
\(548\) 11.3652 13.1096i 0.485495 0.560013i
\(549\) 1.27324 1.98120i 0.0543404 0.0845554i
\(550\) −5.18879 11.3656i −0.221251 0.484629i
\(551\) 2.63267 0.112155
\(552\) −12.8444 4.36140i −0.546693 0.185634i
\(553\) 18.4060 0.782704
\(554\) −3.17433 6.95308i −0.134864 0.295408i
\(555\) 9.45728 14.7158i 0.401439 0.624652i
\(556\) −26.2680 22.7727i −1.11401 0.965776i
\(557\) −23.3541 10.6655i −0.989544 0.451910i −0.146183 0.989258i \(-0.546699\pi\)
−0.843361 + 0.537348i \(0.819426\pi\)
\(558\) 0.741685 + 0.106732i 0.0313980 + 0.00451831i
\(559\) 2.17325 + 0.638124i 0.0919187 + 0.0269898i
\(560\) 10.4173 16.1921i 0.440211 0.684239i
\(561\) 4.50062 + 9.85499i 0.190016 + 0.416078i
\(562\) 0.000183137 1.48544i 7.72515e−6 0.0626596i
\(563\) 32.1348 + 27.8450i 1.35432 + 1.17353i 0.967938 + 0.251188i \(0.0808213\pi\)
0.386383 + 0.922338i \(0.373724\pi\)
\(564\) 1.15338 + 3.93165i 0.0485662 + 0.165552i
\(565\) −13.1300 44.7165i −0.552382 1.88124i
\(566\) 5.23542 + 36.4451i 0.220061 + 1.53190i
\(567\) −1.55050 + 0.996447i −0.0651150 + 0.0418468i
\(568\) −30.1471 + 13.7543i −1.26495 + 0.577116i
\(569\) 2.99106 + 20.8033i 0.125392 + 0.872120i 0.951289 + 0.308300i \(0.0997599\pi\)
−0.825897 + 0.563820i \(0.809331\pi\)
\(570\) 4.49791 5.18957i 0.188397 0.217367i
\(571\) −8.17895 1.17596i −0.342278 0.0492122i −0.0309677 0.999520i \(-0.509859\pi\)
−0.311311 + 0.950308i \(0.600768\pi\)
\(572\) −10.5181 23.0465i −0.439785 0.963624i
\(573\) 18.4491 15.9862i 0.770720 0.667833i
\(574\) 2.76350 9.40734i 0.115346 0.392655i
\(575\) 8.26815 + 2.80410i 0.344806 + 0.116939i
\(576\) −1.14438 + 7.91773i −0.0476823 + 0.329905i
\(577\) −18.5159 21.3685i −0.770827 0.889582i 0.225584 0.974224i \(-0.427571\pi\)
−0.996411 + 0.0846418i \(0.973025\pi\)
\(578\) −12.8439 + 11.1266i −0.534237 + 0.462804i
\(579\) 1.21963 + 0.175356i 0.0506861 + 0.00728756i
\(580\) 6.22232 3.99667i 0.258368 0.165953i
\(581\) −25.7353 + 3.70017i −1.06768 + 0.153509i
\(582\) −14.1628 9.10437i −0.587069 0.377388i
\(583\) −47.9085 + 30.7889i −1.98417 + 1.27515i
\(584\) 17.8082 + 8.14068i 0.736907 + 0.336864i
\(585\) −6.54049 + 1.92046i −0.270416 + 0.0794013i
\(586\) −40.5264 + 26.0377i −1.67413 + 1.07561i
\(587\) −26.0822 22.6004i −1.07653 0.932817i −0.0785840 0.996907i \(-0.525040\pi\)
−0.997944 + 0.0640906i \(0.979585\pi\)
\(588\) 2.03189 6.91368i 0.0837938 0.285115i
\(589\) 0.896187 0.409275i 0.0369267 0.0168639i
\(590\) −3.55368 12.1082i −0.146303 0.498489i
\(591\) 2.83824 + 0.833382i 0.116750 + 0.0342807i
\(592\) 14.4739 + 22.5463i 0.594874 + 0.926646i
\(593\) −13.5332 + 29.6335i −0.555740 + 1.21690i 0.398309 + 0.917251i \(0.369597\pi\)
−0.954049 + 0.299650i \(0.903130\pi\)
\(594\) −6.24247 2.85177i −0.256132 0.117010i
\(595\) 5.80967 9.04003i 0.238173 0.370605i
\(596\) 23.2637 3.33895i 0.952917 0.136769i
\(597\) 8.63753i 0.353511i
\(598\) 16.7641 + 5.68777i 0.685536 + 0.232590i
\(599\) 26.5132 1.08330 0.541649 0.840604i \(-0.317800\pi\)
0.541649 + 0.840604i \(0.317800\pi\)
\(600\) 0.734677 5.09641i 0.0299931 0.208060i
\(601\) −9.52709 6.12269i −0.388618 0.249750i 0.331713 0.943380i \(-0.392374\pi\)
−0.720331 + 0.693631i \(0.756010\pi\)
\(602\) 0.939868 2.05735i 0.0383062 0.0838514i
\(603\) 4.28470 + 1.95676i 0.174487 + 0.0796853i
\(604\) 7.95687 17.4118i 0.323761 0.708474i
\(605\) −9.23434 + 31.4493i −0.375429 + 1.27860i
\(606\) −4.94408 16.8457i −0.200839 0.684308i
\(607\) 10.8811 + 23.8262i 0.441649 + 0.967076i 0.991293 + 0.131677i \(0.0420361\pi\)
−0.549644 + 0.835399i \(0.685237\pi\)
\(608\) 4.36363 + 9.57062i 0.176969 + 0.388140i
\(609\) −1.70889 + 1.97216i −0.0692476 + 0.0799160i
\(610\) −4.70163 7.31786i −0.190363 0.296292i
\(611\) −1.50650 5.13067i −0.0609465 0.207565i
\(612\) −0.636524 + 4.41938i −0.0257299 + 0.178643i
\(613\) 12.5472 + 19.5239i 0.506778 + 0.788561i 0.996524 0.0833034i \(-0.0265471\pi\)
−0.489747 + 0.871865i \(0.662911\pi\)
\(614\) 14.8704 + 9.55920i 0.600119 + 0.385778i
\(615\) −1.39810 9.72399i −0.0563768 0.392109i
\(616\) −24.2761 + 7.11836i −0.978113 + 0.286807i
\(617\) −0.588568 + 4.09358i −0.0236949 + 0.164801i −0.998233 0.0594201i \(-0.981075\pi\)
0.974538 + 0.224222i \(0.0719839\pi\)
\(618\) 11.0394 + 12.7433i 0.444069 + 0.512611i
\(619\) 8.50677 7.37116i 0.341916 0.296272i −0.466928 0.884295i \(-0.654639\pi\)
0.808844 + 0.588024i \(0.200094\pi\)
\(620\) 1.49682 2.32783i 0.0601136 0.0934878i
\(621\) 4.44111 1.81012i 0.178216 0.0726377i
\(622\) 5.60379 19.0761i 0.224691 0.764880i
\(623\) −9.53039 10.9987i −0.381827 0.440652i
\(624\) 1.49093 10.3335i 0.0596851 0.413671i
\(625\) 4.38162 30.4749i 0.175265 1.21899i
\(626\) −25.2568 21.8906i −1.00947 0.874925i
\(627\) −8.93171 + 1.28419i −0.356698 + 0.0512854i
\(628\) −32.9211 + 28.5121i −1.31370 + 1.13776i
\(629\) 8.08442 + 12.5796i 0.322347 + 0.501582i
\(630\) 0.967933 + 6.73802i 0.0385634 + 0.268449i
\(631\) −29.7434 + 8.73345i −1.18407 + 0.347673i −0.813740 0.581228i \(-0.802572\pi\)
−0.370326 + 0.928902i \(0.620754\pi\)
\(632\) −0.0104472 + 28.2462i −0.000415568 + 1.12357i
\(633\) −17.4365 + 20.1228i −0.693038 + 0.799808i
\(634\) −20.4095 0.00251624i −0.810564 9.99325e-5i
\(635\) −15.6572 + 7.15038i −0.621335 + 0.283754i
\(636\) −23.4701 0.00578715i −0.930650 0.000229475i
\(637\) −2.64952 + 9.02343i −0.104978 + 0.357521i
\(638\) −9.61797 1.38407i −0.380779 0.0547957i
\(639\) 4.86681 10.6568i 0.192528 0.421578i
\(640\) 24.8427 + 15.9957i 0.981993 + 0.632287i
\(641\) 38.8596 + 24.9736i 1.53486 + 0.986397i 0.988899 + 0.148588i \(0.0474729\pi\)
0.545964 + 0.837809i \(0.316163\pi\)
\(642\) −20.7378 + 9.46752i −0.818454 + 0.373653i
\(643\) 28.9678i 1.14238i 0.820818 + 0.571189i \(0.193518\pi\)
−0.820818 + 0.571189i \(0.806482\pi\)
\(644\) 8.00652 15.7612i 0.315501 0.621079i
\(645\) 2.26629i 0.0892349i
\(646\) 2.43808 + 5.34039i 0.0959249 + 0.210115i
\(647\) 23.3498 + 15.0060i 0.917976 + 0.589948i 0.912070 0.410035i \(-0.134484\pi\)
0.00590657 + 0.999983i \(0.498120\pi\)
\(648\) −1.52828 2.37999i −0.0600366 0.0934948i
\(649\) −6.88785 + 15.0823i −0.270372 + 0.592032i
\(650\) −0.957159 + 6.65137i −0.0375429 + 0.260888i
\(651\) −0.275130 + 0.937006i −0.0107832 + 0.0367242i
\(652\) 0.00419082 16.9961i 0.000164125 0.665619i
\(653\) −19.8169 + 9.05009i −0.775497 + 0.354157i −0.763531 0.645771i \(-0.776536\pi\)
−0.0119655 + 0.999928i \(0.503809\pi\)
\(654\) 0.000846965 6.86983i 3.31190e−5 0.268632i
\(655\) −17.3169 + 19.9847i −0.676627 + 0.780869i
\(656\) 14.4351 + 4.24626i 0.563595 + 0.165788i
\(657\) −6.64238 + 1.95038i −0.259144 + 0.0760915i
\(658\) −5.28562 + 0.759292i −0.206055 + 0.0296003i
\(659\) 10.9176 + 16.9882i 0.425291 + 0.661766i 0.986095 0.166183i \(-0.0531442\pi\)
−0.560804 + 0.827949i \(0.689508\pi\)
\(660\) −19.1606 + 16.5945i −0.745824 + 0.645938i
\(661\) −40.4903 + 5.82162i −1.57489 + 0.226435i −0.873673 0.486514i \(-0.838268\pi\)
−0.701216 + 0.712949i \(0.747359\pi\)
\(662\) 30.5055 35.1964i 1.18563 1.36795i
\(663\) 0.829280 5.76777i 0.0322066 0.224002i
\(664\) −5.66373 39.4958i −0.219796 1.53274i
\(665\) 5.86110 + 6.76407i 0.227284 + 0.262299i
\(666\) −9.08848 2.66984i −0.352171 0.103454i
\(667\) 5.31122 4.23058i 0.205651 0.163809i
\(668\) 23.1420 + 14.8805i 0.895389 + 0.575744i
\(669\) −2.29265 + 1.98659i −0.0886390 + 0.0768062i
\(670\) 13.1493 11.3911i 0.508000 0.440075i
\(671\) −1.62649 + 11.3125i −0.0627899 + 0.436713i
\(672\) −10.0019 2.94353i −0.385832 0.113549i
\(673\) −3.05352 21.2377i −0.117704 0.818653i −0.960073 0.279750i \(-0.909748\pi\)
0.842368 0.538902i \(-0.181161\pi\)
\(674\) 10.2609 15.9619i 0.395234 0.614829i
\(675\) 0.984225 + 1.53148i 0.0378828 + 0.0589469i
\(676\) 1.76410 12.2481i 0.0678499 0.471082i
\(677\) 0.992982 + 3.38178i 0.0381634 + 0.129973i 0.976371 0.216099i \(-0.0693335\pi\)
−0.938208 + 0.346072i \(0.887515\pi\)
\(678\) −21.2322 + 13.6414i −0.815418 + 0.523895i
\(679\) 14.3694 16.5831i 0.551445 0.636402i
\(680\) 13.8697 + 8.92075i 0.531878 + 0.342095i
\(681\) −4.50311 9.86044i −0.172560 0.377853i
\(682\) −3.48922 + 1.02406i −0.133609 + 0.0392133i
\(683\) −3.65308 + 12.4412i −0.139781 + 0.476051i −0.999391 0.0349004i \(-0.988889\pi\)
0.859610 + 0.510951i \(0.170707\pi\)
\(684\) −3.38239 1.54570i −0.129329 0.0591011i
\(685\) 20.6085 + 9.41158i 0.787410 + 0.359598i
\(686\) 25.1381 + 11.4839i 0.959776 + 0.438458i
\(687\) 13.4290 + 8.63030i 0.512349 + 0.329266i
\(688\) 3.15671 + 1.44350i 0.120349 + 0.0550331i
\(689\) 30.6299 1.16691
\(690\) 0.734794 17.6975i 0.0279731 0.673733i
\(691\) 31.3390i 1.19219i 0.802914 + 0.596095i \(0.203282\pi\)
−0.802914 + 0.596095i \(0.796718\pi\)
\(692\) −26.6744 + 3.82849i −1.01401 + 0.145537i
\(693\) 4.83564 7.52441i 0.183691 0.285829i
\(694\) −7.18922 + 15.7371i −0.272899 + 0.597370i
\(695\) 18.8582 41.2938i 0.715333 1.56636i
\(696\) −3.02554 2.62360i −0.114683 0.0994474i
\(697\) 8.05772 + 2.36596i 0.305208 + 0.0896172i
\(698\) −2.54474 + 0.746861i −0.0963197 + 0.0282691i
\(699\) 23.7961 10.8673i 0.900053 0.411040i
\(700\) 6.43830 + 1.89218i 0.243345 + 0.0715177i
\(701\) 7.65820 + 6.63587i 0.289246 + 0.250633i 0.787382 0.616466i \(-0.211436\pi\)
−0.498135 + 0.867099i \(0.665982\pi\)
\(702\) 1.99527 + 3.10554i 0.0753066 + 0.117211i
\(703\) −11.9500 + 3.50885i −0.450704 + 0.132339i
\(704\) −10.9102 37.2586i −0.411193 1.40424i
\(705\) −4.50096 + 2.89259i −0.169516 + 0.108941i
\(706\) −28.3276 + 44.0667i −1.06612 + 1.65847i
\(707\) 22.6474 3.25620i 0.851742 0.122462i
\(708\) −5.74946 + 3.69295i −0.216078 + 0.138790i
\(709\) −19.7779 2.84364i −0.742776 0.106795i −0.239471 0.970904i \(-0.576974\pi\)
−0.503306 + 0.864109i \(0.667883\pi\)
\(710\) −28.3316 32.7046i −1.06327 1.22738i
\(711\) −6.53979 7.54732i −0.245261 0.283047i
\(712\) 16.8841 14.6192i 0.632759 0.547879i
\(713\) 1.15031 2.26581i 0.0430793 0.0848554i
\(714\) −5.58312 1.64010i −0.208943 0.0613791i
\(715\) 25.0004 21.6629i 0.934961 0.810148i
\(716\) −47.1213 + 21.5055i −1.76100 + 0.803699i
\(717\) −20.0062 2.87646i −0.747147 0.107424i
\(718\) 3.06409 + 2.65571i 0.114351 + 0.0991101i
\(719\) 5.93536 + 41.2813i 0.221352 + 1.53953i 0.732934 + 0.680300i \(0.238150\pi\)
−0.511582 + 0.859234i \(0.670941\pi\)
\(720\) −10.3408 + 1.48158i −0.385380 + 0.0552153i
\(721\) −18.4848 + 11.8795i −0.688410 + 0.442414i
\(722\) 21.7572 3.12547i 0.809717 0.116318i
\(723\) −4.13789 14.0924i −0.153890 0.524100i
\(724\) 0.866534 + 2.95384i 0.0322045 + 0.109778i
\(725\) 1.94797 + 1.68793i 0.0723458 + 0.0626880i
\(726\) 17.7491 + 0.00218825i 0.658731 + 8.12134e-5i
\(727\) −1.62780 3.56439i −0.0603718 0.132196i 0.877041 0.480415i \(-0.159514\pi\)
−0.937413 + 0.348219i \(0.886787\pi\)
\(728\) 13.0541 + 3.83827i 0.483816 + 0.142256i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) −3.64189 + 25.3077i −0.134792 + 0.936682i
\(731\) 1.76223 + 0.804784i 0.0651785 + 0.0297660i
\(732\) −3.08534 + 3.55890i −0.114037 + 0.131541i
\(733\) 5.13833 7.99540i 0.189789 0.295317i −0.733299 0.679906i \(-0.762021\pi\)
0.923088 + 0.384589i \(0.125657\pi\)
\(734\) −27.6488 + 12.6227i −1.02054 + 0.465911i
\(735\) 9.40971 0.347082
\(736\) 24.1829 + 12.2959i 0.891393 + 0.453232i
\(737\) −22.8589 −0.842018
\(738\) −4.83933 + 2.20933i −0.178138 + 0.0813265i
\(739\) 10.8062 16.8148i 0.397512 0.618541i −0.583586 0.812051i \(-0.698351\pi\)
0.981098 + 0.193510i \(0.0619873\pi\)
\(740\) −22.9171 + 26.4346i −0.842450 + 0.971755i
\(741\) 4.41473 + 2.01614i 0.162179 + 0.0740647i
\(742\) 4.35680 30.2757i 0.159943 1.11146i
\(743\) −10.2560 3.01142i −0.376255 0.110478i 0.0881368 0.996108i \(-0.471909\pi\)
−0.464391 + 0.885630i \(0.653727\pi\)
\(744\) −1.43779 0.422751i −0.0527119 0.0154988i
\(745\) 12.7487 + 27.9157i 0.467076 + 1.02275i
\(746\) 24.7391 + 0.00305003i 0.905764 + 0.000111669i
\(747\) 10.6612 + 9.23794i 0.390071 + 0.337999i
\(748\) −6.09948 20.7919i −0.223019 0.760226i
\(749\) −8.37026 28.5065i −0.305843 1.04160i
\(750\) −11.6238 + 1.66979i −0.424442 + 0.0609721i
\(751\) −10.0792 + 6.47750i −0.367795 + 0.236367i −0.711463 0.702724i \(-0.751967\pi\)
0.343668 + 0.939091i \(0.388331\pi\)
\(752\) −1.16222 8.11183i −0.0423819 0.295808i
\(753\) −0.985926 6.85727i −0.0359291 0.249893i
\(754\) 3.94936 + 3.42299i 0.143827 + 0.124658i
\(755\) 24.7434 + 3.55757i 0.900506 + 0.129473i
\(756\) 3.35344 1.53046i 0.121963 0.0556624i
\(757\) −11.6174 + 10.0665i −0.422241 + 0.365874i −0.839910 0.542725i \(-0.817392\pi\)
0.417670 + 0.908599i \(0.362847\pi\)
\(758\) −5.69808 1.67387i −0.206964 0.0607977i
\(759\) −15.9554 + 16.9436i −0.579146 + 0.615014i
\(760\) −10.3836 + 8.99070i −0.376652 + 0.326127i
\(761\) 27.4361 + 31.6629i 0.994556 + 1.14778i 0.989018 + 0.147795i \(0.0472175\pi\)
0.00553843 + 0.999985i \(0.498237\pi\)
\(762\) 6.10298 + 7.04497i 0.221088 + 0.255212i
\(763\) 8.86203 + 1.27417i 0.320827 + 0.0461280i
\(764\) −41.0792 + 26.3857i −1.48619 + 0.954601i
\(765\) −5.77105 + 0.829751i −0.208653 + 0.0299997i
\(766\) 3.65912 5.69217i 0.132210 0.205666i
\(767\) 7.50221 4.82138i 0.270889 0.174090i
\(768\) 4.52286 15.3474i 0.163205 0.553803i
\(769\) −14.3676 + 4.21871i −0.518110 + 0.152131i −0.530325 0.847795i \(-0.677930\pi\)
0.0122150 + 0.999925i \(0.496112\pi\)
\(770\) −17.8564 27.7926i −0.643499 1.00158i
\(771\) −15.1901 13.1623i −0.547058 0.474028i
\(772\) −2.36435 0.694869i −0.0850948 0.0250089i
\(773\) 19.9535 9.11245i 0.717677 0.327752i −0.0228868 0.999738i \(-0.507286\pi\)
0.740564 + 0.671986i