Properties

Label 576.2.bm.a.13.25
Level $576$
Weight $2$
Character 576.13
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

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 13.25
Character \(\chi\) \(=\) 576.13
Dual form 576.2.bm.a.133.25

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.950049 + 1.04757i) q^{2} +(1.70894 - 0.282012i) q^{3} +(-0.194815 - 1.99049i) q^{4} +(0.762090 - 2.24504i) q^{5} +(-1.32815 + 2.05816i) q^{6} +(0.172281 - 0.224521i) q^{7} +(2.27026 + 1.68698i) q^{8} +(2.84094 - 0.963882i) q^{9} +O(q^{10})\) \(q+(-0.950049 + 1.04757i) q^{2} +(1.70894 - 0.282012i) q^{3} +(-0.194815 - 1.99049i) q^{4} +(0.762090 - 2.24504i) q^{5} +(-1.32815 + 2.05816i) q^{6} +(0.172281 - 0.224521i) q^{7} +(2.27026 + 1.68698i) q^{8} +(2.84094 - 0.963882i) q^{9} +(1.62782 + 2.93125i) q^{10} +(0.890807 + 0.0583866i) q^{11} +(-0.894268 - 3.34668i) q^{12} +(-0.972436 + 1.10885i) q^{13} +(0.0715266 + 0.393783i) q^{14} +(0.669235 - 4.05156i) q^{15} +(-3.92409 + 0.775552i) q^{16} +(-3.08704 - 3.08704i) q^{17} +(-1.68929 + 3.89182i) q^{18} +(-0.658744 + 3.31173i) q^{19} +(-4.61720 - 1.07956i) q^{20} +(0.231100 - 0.432278i) q^{21} +(-0.907475 + 0.877715i) q^{22} +(6.76461 - 5.19067i) q^{23} +(4.35549 + 2.24270i) q^{24} +(-0.492674 - 0.378042i) q^{25} +(-0.237739 - 2.07216i) q^{26} +(4.58316 - 2.44839i) q^{27} +(-0.480470 - 0.299184i) q^{28} +(2.30142 - 4.66682i) q^{29} +(3.60849 + 4.55025i) q^{30} +(-2.39713 - 1.38398i) q^{31} +(2.91563 - 4.84758i) q^{32} +(1.53880 - 0.151439i) q^{33} +(6.16673 - 0.301058i) q^{34} +(-0.372766 - 0.557884i) q^{35} +(-2.47205 - 5.46708i) q^{36} +(-1.25131 - 6.29074i) q^{37} +(-2.84344 - 3.83639i) q^{38} +(-1.34912 + 2.16920i) q^{39} +(5.51749 - 3.81121i) q^{40} +(-4.82178 + 3.69988i) q^{41} +(0.233286 + 0.652779i) q^{42} +(-0.0912444 + 1.39212i) q^{43} +(-0.0573243 - 1.78452i) q^{44} +(0.00109315 - 7.11260i) q^{45} +(-0.989111 + 12.0178i) q^{46} +(-1.23844 + 4.62193i) q^{47} +(-6.48732 + 2.43201i) q^{48} +(1.79100 + 6.68412i) q^{49} +(0.864091 - 0.156953i) q^{50} +(-6.14614 - 4.40497i) q^{51} +(2.39660 + 1.71960i) q^{52} +(-0.782797 + 1.17154i) q^{53} +(-1.78936 + 7.12729i) q^{54} +(0.809956 - 1.95541i) q^{55} +(0.769886 - 0.219087i) q^{56} +(-0.191805 + 5.84531i) q^{57} +(2.70237 + 6.84461i) q^{58} +(3.63814 - 10.7176i) q^{59} +(-8.19496 - 0.542802i) q^{60} +(3.14784 + 1.55234i) q^{61} +(3.72721 - 1.19631i) q^{62} +(0.273028 - 0.803909i) q^{63} +(2.30820 + 7.65978i) q^{64} +(1.74834 + 3.02821i) q^{65} +(-1.30329 + 1.75588i) q^{66} +(0.852474 + 13.0062i) q^{67} +(-5.54332 + 6.74611i) q^{68} +(10.0965 - 10.7782i) q^{69} +(0.938569 + 0.139518i) q^{70} +(-0.728055 - 1.75768i) q^{71} +(8.07573 + 2.60434i) q^{72} +(-4.44620 + 10.7341i) q^{73} +(7.77881 + 4.66568i) q^{74} +(-0.948562 - 0.507111i) q^{75} +(6.72029 + 0.666050i) q^{76} +(0.166578 - 0.189946i) q^{77} +(-0.990656 - 3.47415i) q^{78} +(0.828919 + 0.222108i) q^{79} +(-1.24936 + 9.40080i) q^{80} +(7.14186 - 5.47666i) q^{81} +(0.705034 - 8.56623i) q^{82} +(3.03101 - 1.02889i) q^{83} +(-0.905466 - 0.375788i) q^{84} +(-9.28313 + 4.57794i) q^{85} +(-1.37166 - 1.41817i) q^{86} +(2.61688 - 8.62433i) q^{87} +(1.92387 + 1.63533i) q^{88} +(-7.90377 + 3.27385i) q^{89} +(7.44992 + 6.75846i) q^{90} +(0.0814281 + 0.409367i) q^{91} +(-11.6498 - 12.4537i) q^{92} +(-4.48684 - 1.68912i) q^{93} +(-3.66523 - 5.68842i) q^{94} +(6.93296 + 4.00274i) q^{95} +(3.61556 - 9.10647i) q^{96} +(4.93566 - 2.84961i) q^{97} +(-8.70364 - 4.47403i) q^{98} +(2.58701 - 0.692760i) 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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.950049 + 1.04757i −0.671786 + 0.740745i
\(3\) 1.70894 0.282012i 0.986656 0.162820i
\(4\) −0.194815 1.99049i −0.0974073 0.995245i
\(5\) 0.762090 2.24504i 0.340817 1.00401i −0.632502 0.774559i \(-0.717972\pi\)
0.973319 0.229456i \(-0.0736946\pi\)
\(6\) −1.32815 + 2.05816i −0.542214 + 0.840241i
\(7\) 0.172281 0.224521i 0.0651161 0.0848610i −0.759660 0.650321i \(-0.774635\pi\)
0.824776 + 0.565460i \(0.191301\pi\)
\(8\) 2.27026 + 1.68698i 0.802660 + 0.596437i
\(9\) 2.84094 0.963882i 0.946980 0.321294i
\(10\) 1.62782 + 2.93125i 0.514763 + 0.926941i
\(11\) 0.890807 + 0.0583866i 0.268589 + 0.0176042i 0.199102 0.979979i \(-0.436197\pi\)
0.0694861 + 0.997583i \(0.477864\pi\)
\(12\) −0.894268 3.34668i −0.258153 0.966104i
\(13\) −0.972436 + 1.10885i −0.269705 + 0.307540i −0.870800 0.491638i \(-0.836398\pi\)
0.601094 + 0.799178i \(0.294732\pi\)
\(14\) 0.0715266 + 0.393783i 0.0191163 + 0.105243i
\(15\) 0.669235 4.05156i 0.172796 1.04611i
\(16\) −3.92409 + 0.775552i −0.981024 + 0.193888i
\(17\) −3.08704 3.08704i −0.748717 0.748717i 0.225522 0.974238i \(-0.427591\pi\)
−0.974238 + 0.225522i \(0.927591\pi\)
\(18\) −1.68929 + 3.89182i −0.398171 + 0.917311i
\(19\) −0.658744 + 3.31173i −0.151126 + 0.759763i 0.828666 + 0.559744i \(0.189100\pi\)
−0.979792 + 0.200019i \(0.935900\pi\)
\(20\) −4.61720 1.07956i −1.03244 0.241398i
\(21\) 0.231100 0.432278i 0.0504302 0.0943308i
\(22\) −0.907475 + 0.877715i −0.193474 + 0.187129i
\(23\) 6.76461 5.19067i 1.41052 1.08233i 0.426455 0.904509i \(-0.359762\pi\)
0.984063 0.177820i \(-0.0569045\pi\)
\(24\) 4.35549 + 2.24270i 0.889061 + 0.457790i
\(25\) −0.492674 0.378042i −0.0985349 0.0756085i
\(26\) −0.237739 2.07216i −0.0466245 0.406384i
\(27\) 4.58316 2.44839i 0.882030 0.471193i
\(28\) −0.480470 0.299184i −0.0908002 0.0565404i
\(29\) 2.30142 4.66682i 0.427363 0.866606i −0.571576 0.820549i \(-0.693668\pi\)
0.998939 0.0460569i \(-0.0146656\pi\)
\(30\) 3.60849 + 4.55025i 0.658818 + 0.830758i
\(31\) −2.39713 1.38398i −0.430536 0.248570i 0.269039 0.963129i \(-0.413294\pi\)
−0.699575 + 0.714559i \(0.746627\pi\)
\(32\) 2.91563 4.84758i 0.515416 0.856940i
\(33\) 1.53880 0.151439i 0.267871 0.0263622i
\(34\) 6.16673 0.301058i 1.05759 0.0516310i
\(35\) −0.372766 0.557884i −0.0630090 0.0942996i
\(36\) −2.47205 5.46708i −0.412009 0.911180i
\(37\) −1.25131 6.29074i −0.205713 1.03419i −0.936254 0.351323i \(-0.885732\pi\)
0.730541 0.682869i \(-0.239268\pi\)
\(38\) −2.84344 3.83639i −0.461266 0.622344i
\(39\) −1.34912 + 2.16920i −0.216033 + 0.347349i
\(40\) 5.51749 3.81121i 0.872391 0.602606i
\(41\) −4.82178 + 3.69988i −0.753036 + 0.577825i −0.912354 0.409403i \(-0.865737\pi\)
0.159318 + 0.987227i \(0.449070\pi\)
\(42\) 0.233286 + 0.652779i 0.0359968 + 0.100726i
\(43\) −0.0912444 + 1.39212i −0.0139146 + 0.212296i 0.985240 + 0.171180i \(0.0547580\pi\)
−0.999154 + 0.0411162i \(0.986909\pi\)
\(44\) −0.0573243 1.78452i −0.00864196 0.269026i
\(45\) 0.00109315 7.11260i 0.000162957 1.06028i
\(46\) −0.989111 + 12.0178i −0.145836 + 1.77193i
\(47\) −1.23844 + 4.62193i −0.180646 + 0.674178i 0.814875 + 0.579636i \(0.196805\pi\)
−0.995521 + 0.0945421i \(0.969861\pi\)
\(48\) −6.48732 + 2.43201i −0.936364 + 0.351031i
\(49\) 1.79100 + 6.68412i 0.255858 + 0.954874i
\(50\) 0.864091 0.156953i 0.122201 0.0221965i
\(51\) −6.14614 4.40497i −0.860631 0.616820i
\(52\) 2.39660 + 1.71960i 0.332349 + 0.238466i
\(53\) −0.782797 + 1.17154i −0.107525 + 0.160923i −0.881330 0.472501i \(-0.843351\pi\)
0.773805 + 0.633424i \(0.218351\pi\)
\(54\) −1.78936 + 7.12729i −0.243501 + 0.969901i
\(55\) 0.809956 1.95541i 0.109214 0.263667i
\(56\) 0.769886 0.219087i 0.102880 0.0292768i
\(57\) −0.191805 + 5.84531i −0.0254052 + 0.774231i
\(58\) 2.70237 + 6.84461i 0.354838 + 0.898741i
\(59\) 3.63814 10.7176i 0.473645 1.39531i −0.403452 0.915001i \(-0.632190\pi\)
0.877097 0.480313i \(-0.159477\pi\)
\(60\) −8.19496 0.542802i −1.05796 0.0700755i
\(61\) 3.14784 + 1.55234i 0.403039 + 0.198757i 0.632499 0.774561i \(-0.282029\pi\)
−0.229460 + 0.973318i \(0.573696\pi\)
\(62\) 3.72721 1.19631i 0.473356 0.151932i
\(63\) 0.273028 0.803909i 0.0343983 0.101283i
\(64\) 2.30820 + 7.65978i 0.288525 + 0.957472i
\(65\) 1.74834 + 3.02821i 0.216854 + 0.375603i
\(66\) −1.30329 + 1.75588i −0.160424 + 0.216134i
\(67\) 0.852474 + 13.0062i 0.104146 + 1.58896i 0.655828 + 0.754910i \(0.272320\pi\)
−0.551682 + 0.834055i \(0.686014\pi\)
\(68\) −5.54332 + 6.74611i −0.672226 + 0.818087i
\(69\) 10.0965 10.7782i 1.21547 1.29755i
\(70\) 0.938569 + 0.139518i 0.112180 + 0.0166755i
\(71\) −0.728055 1.75768i −0.0864042 0.208598i 0.874771 0.484536i \(-0.161012\pi\)
−0.961175 + 0.275938i \(0.911012\pi\)
\(72\) 8.07573 + 2.60434i 0.951734 + 0.306924i
\(73\) −4.44620 + 10.7341i −0.520388 + 1.25633i 0.417274 + 0.908781i \(0.362985\pi\)
−0.937662 + 0.347547i \(0.887015\pi\)
\(74\) 7.77881 + 4.66568i 0.904268 + 0.542374i
\(75\) −0.948562 0.507111i −0.109531 0.0585561i
\(76\) 6.72029 + 0.666050i 0.770871 + 0.0764011i
\(77\) 0.166578 0.189946i 0.0189834 0.0216464i
\(78\) −0.990656 3.47415i −0.112170 0.393370i
\(79\) 0.828919 + 0.222108i 0.0932606 + 0.0249891i 0.305148 0.952305i \(-0.401294\pi\)
−0.211887 + 0.977294i \(0.567961\pi\)
\(80\) −1.24936 + 9.40080i −0.139683 + 1.05104i
\(81\) 7.14186 5.47666i 0.793540 0.608518i
\(82\) 0.705034 8.56623i 0.0778579 0.945982i
\(83\) 3.03101 1.02889i 0.332697 0.112935i −0.150092 0.988672i \(-0.547957\pi\)
0.482789 + 0.875737i \(0.339624\pi\)
\(84\) −0.905466 0.375788i −0.0987945 0.0410019i
\(85\) −9.28313 + 4.57794i −1.00690 + 0.496547i
\(86\) −1.37166 1.41817i −0.147910 0.152925i
\(87\) 2.61688 8.62433i 0.280560 0.924625i
\(88\) 1.92387 + 1.63533i 0.205085 + 0.174326i
\(89\) −7.90377 + 3.27385i −0.837798 + 0.347027i −0.759985 0.649940i \(-0.774794\pi\)
−0.0778133 + 0.996968i \(0.524794\pi\)
\(90\) 7.44992 + 6.75846i 0.785290 + 0.712404i
\(91\) 0.0814281 + 0.409367i 0.00853598 + 0.0429133i
\(92\) −11.6498 12.4537i −1.21458 1.29838i
\(93\) −4.48684 1.68912i −0.465263 0.175154i
\(94\) −3.66523 5.68842i −0.378039 0.586716i
\(95\) 6.93296 + 4.00274i 0.711306 + 0.410673i
\(96\) 3.61556 9.10647i 0.369012 0.929425i
\(97\) 4.93566 2.84961i 0.501140 0.289334i −0.228044 0.973651i \(-0.573233\pi\)
0.729184 + 0.684317i \(0.239900\pi\)
\(98\) −8.70364 4.47403i −0.879200 0.451946i
\(99\) 2.58701 0.692760i 0.260004 0.0696250i
\(100\) −0.656509 + 1.05431i −0.0656509 + 0.105431i
\(101\) −8.03769 + 7.04887i −0.799780 + 0.701388i −0.958236 0.285978i \(-0.907682\pi\)
0.158456 + 0.987366i \(0.449348\pi\)
\(102\) 10.4537 2.25358i 1.03507 0.223138i
\(103\) −0.397714 + 3.02094i −0.0391879 + 0.297662i 0.960616 + 0.277878i \(0.0896311\pi\)
−0.999804 + 0.0197837i \(0.993702\pi\)
\(104\) −4.07830 + 0.876905i −0.399910 + 0.0859876i
\(105\) −0.794364 0.848264i −0.0775220 0.0827821i
\(106\) −0.483576 1.93305i −0.0469690 0.187755i
\(107\) 14.3013 + 9.55581i 1.38256 + 0.923795i 1.00000 0.000137598i \(-4.37989e-5\pi\)
0.382556 + 0.923932i \(0.375044\pi\)
\(108\) −5.76637 8.64575i −0.554869 0.831938i
\(109\) −2.49561 + 12.5463i −0.239036 + 1.20171i 0.655667 + 0.755051i \(0.272388\pi\)
−0.894702 + 0.446663i \(0.852612\pi\)
\(110\) 1.27893 + 2.70622i 0.121941 + 0.258028i
\(111\) −3.91247 10.3976i −0.371355 0.986897i
\(112\) −0.501919 + 1.01465i −0.0474269 + 0.0958759i
\(113\) 2.18532 + 8.15574i 0.205578 + 0.767227i 0.989273 + 0.146081i \(0.0466660\pi\)
−0.783695 + 0.621146i \(0.786667\pi\)
\(114\) −5.94116 5.75426i −0.556441 0.538936i
\(115\) −6.49803 19.1426i −0.605945 1.78506i
\(116\) −9.73760 3.67179i −0.904113 0.340917i
\(117\) −1.69383 + 4.08749i −0.156595 + 0.377889i
\(118\) 7.77106 + 13.9935i 0.715384 + 1.28820i
\(119\) −1.22494 + 0.161267i −0.112290 + 0.0147833i
\(120\) 8.35424 8.06912i 0.762634 0.736607i
\(121\) −10.1158 1.33177i −0.919615 0.121070i
\(122\) −4.61679 + 1.82279i −0.417985 + 0.165027i
\(123\) −7.19672 + 7.68267i −0.648906 + 0.692723i
\(124\) −2.28780 + 5.04107i −0.205451 + 0.452702i
\(125\) 8.63233 5.76794i 0.772099 0.515900i
\(126\) 0.582763 + 1.04977i 0.0519166 + 0.0935209i
\(127\) 8.66587 0.768971 0.384486 0.923131i \(-0.374379\pi\)
0.384486 + 0.923131i \(0.374379\pi\)
\(128\) −10.2171 4.85916i −0.903070 0.429493i
\(129\) 0.236664 + 2.40478i 0.0208371 + 0.211729i
\(130\) −4.83327 1.04544i −0.423906 0.0916908i
\(131\) −0.421836 6.43597i −0.0368560 0.562313i −0.975859 0.218403i \(-0.929915\pi\)
0.939003 0.343910i \(-0.111751\pi\)
\(132\) −0.601219 3.03346i −0.0523294 0.264029i
\(133\) 0.630064 + 0.718450i 0.0546335 + 0.0622975i
\(134\) −14.4349 11.4635i −1.24698 0.990298i
\(135\) −2.00397 12.1553i −0.172474 1.04616i
\(136\) −1.80062 12.2162i −0.154402 1.04753i
\(137\) −19.7567 + 2.60101i −1.68792 + 0.222219i −0.912458 0.409170i \(-0.865818\pi\)
−0.775466 + 0.631389i \(0.782485\pi\)
\(138\) 1.69883 + 20.8166i 0.144614 + 1.77203i
\(139\) 2.02814 + 4.11266i 0.172024 + 0.348831i 0.965762 0.259429i \(-0.0835344\pi\)
−0.793738 + 0.608260i \(0.791868\pi\)
\(140\) −1.03784 + 0.850671i −0.0877136 + 0.0718948i
\(141\) −0.812983 + 8.24786i −0.0684655 + 0.694595i
\(142\) 2.53298 + 0.907192i 0.212563 + 0.0761299i
\(143\) −0.930995 + 0.930995i −0.0778538 + 0.0778538i
\(144\) −10.4006 + 5.98566i −0.866714 + 0.498805i
\(145\) −8.72332 8.72332i −0.724432 0.724432i
\(146\) −7.02061 14.8556i −0.581030 1.22946i
\(147\) 4.94572 + 10.9177i 0.407916 + 0.900474i
\(148\) −12.2779 + 3.71624i −1.00924 + 0.305473i
\(149\) 2.58630 1.27542i 0.211878 0.104487i −0.333253 0.942837i \(-0.608146\pi\)
0.545131 + 0.838351i \(0.316480\pi\)
\(150\) 1.43242 0.511907i 0.116956 0.0417971i
\(151\) −3.07066 23.3240i −0.249887 1.89808i −0.411800 0.911274i \(-0.635100\pi\)
0.161913 0.986805i \(-0.448234\pi\)
\(152\) −7.08234 + 6.40721i −0.574454 + 0.519694i
\(153\) −11.7456 5.79455i −0.949577 0.468461i
\(154\) 0.0407248 + 0.354961i 0.00328169 + 0.0286036i
\(155\) −4.93392 + 4.32693i −0.396302 + 0.347548i
\(156\) 4.58059 + 2.26283i 0.366741 + 0.181171i
\(157\) −18.5943 + 1.21873i −1.48399 + 0.0972656i −0.785725 0.618576i \(-0.787710\pi\)
−0.698262 + 0.715842i \(0.746043\pi\)
\(158\) −1.02019 + 0.657339i −0.0811618 + 0.0522950i
\(159\) −1.00736 + 2.22284i −0.0798891 + 0.176283i
\(160\) −8.66106 10.2400i −0.684717 0.809545i
\(161\) 2.41305i 0.190175i
\(162\) −1.04793 + 12.6847i −0.0823328 + 0.996605i
\(163\) −0.511679 0.765782i −0.0400778 0.0599806i 0.810890 0.585199i \(-0.198984\pi\)
−0.850967 + 0.525218i \(0.823984\pi\)
\(164\) 8.30393 + 8.87691i 0.648428 + 0.693171i
\(165\) 0.832716 3.57008i 0.0648269 0.277931i
\(166\) −1.80177 + 4.15270i −0.139845 + 0.322312i
\(167\) −1.78659 + 13.5705i −0.138251 + 1.05012i 0.771872 + 0.635778i \(0.219321\pi\)
−0.910123 + 0.414339i \(0.864013\pi\)
\(168\) 1.25390 0.591524i 0.0967407 0.0456371i
\(169\) 1.41292 + 10.7322i 0.108686 + 0.825555i
\(170\) 4.02371 14.0740i 0.308605 1.07943i
\(171\) 1.32066 + 10.0434i 0.100994 + 0.768036i
\(172\) 2.78878 0.0895843i 0.212642 0.00683074i
\(173\) −12.3475 + 4.19143i −0.938766 + 0.318668i −0.748553 0.663075i \(-0.769251\pi\)
−0.190213 + 0.981743i \(0.560918\pi\)
\(174\) 6.54844 + 10.9349i 0.496436 + 0.828973i
\(175\) −0.169757 + 0.0454862i −0.0128324 + 0.00343844i
\(176\) −3.54089 + 0.461753i −0.266905 + 0.0348060i
\(177\) 3.19486 19.3417i 0.240140 1.45381i
\(178\) 4.07938 11.3901i 0.305762 0.853723i
\(179\) 12.1802 + 2.42279i 0.910389 + 0.181088i 0.628001 0.778213i \(-0.283873\pi\)
0.282388 + 0.959300i \(0.408873\pi\)
\(180\) −14.1578 + 1.38346i −1.05526 + 0.103117i
\(181\) 10.6257 15.9025i 0.789801 1.18202i −0.189948 0.981794i \(-0.560832\pi\)
0.979749 0.200227i \(-0.0641680\pi\)
\(182\) −0.506202 0.303616i −0.0375222 0.0225055i
\(183\) 5.81724 + 1.76513i 0.430023 + 0.130482i
\(184\) 24.1140 0.372428i 1.77771 0.0274557i
\(185\) −15.0766 1.98487i −1.10845 0.145931i
\(186\) 6.03219 3.09554i 0.442302 0.226976i
\(187\) −2.56971 2.93020i −0.187916 0.214277i
\(188\) 9.44118 + 1.56469i 0.688569 + 0.114117i
\(189\) 0.239876 1.45083i 0.0174484 0.105532i
\(190\) −10.7798 + 3.45997i −0.782049 + 0.251012i
\(191\) 9.42826 + 16.3302i 0.682205 + 1.18161i 0.974307 + 0.225226i \(0.0723120\pi\)
−0.292102 + 0.956387i \(0.594355\pi\)
\(192\) 6.10472 + 12.4391i 0.440570 + 0.897718i
\(193\) −8.15861 + 14.1311i −0.587270 + 1.01718i 0.407319 + 0.913286i \(0.366464\pi\)
−0.994588 + 0.103895i \(0.966869\pi\)
\(194\) −1.70395 + 7.87772i −0.122337 + 0.565588i
\(195\) 3.84179 + 4.68197i 0.275116 + 0.335282i
\(196\) 12.9558 4.86714i 0.925411 0.347653i
\(197\) 6.54473 1.30183i 0.466293 0.0927513i 0.0436482 0.999047i \(-0.486102\pi\)
0.422644 + 0.906296i \(0.361102\pi\)
\(198\) −1.73207 + 3.36823i −0.123093 + 0.239370i
\(199\) −8.30544 20.0511i −0.588757 1.42138i −0.884692 0.466177i \(-0.845631\pi\)
0.295935 0.955208i \(-0.404369\pi\)
\(200\) −0.480751 1.68939i −0.0339942 0.119458i
\(201\) 5.12474 + 21.9864i 0.361471 + 1.55080i
\(202\) 0.252004 15.1168i 0.0177309 1.06362i
\(203\) −0.651308 1.32072i −0.0457128 0.0926965i
\(204\) −7.57070 + 13.0920i −0.530055 + 0.916621i
\(205\) 4.63177 + 13.6448i 0.323497 + 0.952991i
\(206\) −2.78680 3.28667i −0.194166 0.228993i
\(207\) 14.2146 21.2666i 0.987986 1.47813i
\(208\) 2.95596 5.10541i 0.204959 0.353997i
\(209\) −0.780175 + 2.91165i −0.0539658 + 0.201403i
\(210\) 1.64330 0.0262609i 0.113399 0.00181217i
\(211\) 3.26137 + 2.86015i 0.224522 + 0.196901i 0.764215 0.644961i \(-0.223126\pi\)
−0.539693 + 0.841862i \(0.681460\pi\)
\(212\) 2.48443 + 1.32992i 0.170632 + 0.0913390i
\(213\) −1.73989 2.79845i −0.119215 0.191746i
\(214\) −23.5973 + 5.90313i −1.61308 + 0.403530i
\(215\) 3.05584 + 1.26577i 0.208406 + 0.0863247i
\(216\) 14.5354 + 2.17320i 0.989007 + 0.147868i
\(217\) −0.723712 + 0.299771i −0.0491288 + 0.0203498i
\(218\) −10.7722 14.5339i −0.729583 0.984359i
\(219\) −4.57114 + 19.5977i −0.308889 + 1.32429i
\(220\) −4.05001 1.23127i −0.273051 0.0830120i
\(221\) 6.42501 0.421118i 0.432193 0.0283274i
\(222\) 14.6093 + 5.77964i 0.980510 + 0.387904i
\(223\) −5.58809 + 3.22628i −0.374206 + 0.216048i −0.675294 0.737548i \(-0.735983\pi\)
0.301088 + 0.953596i \(0.402650\pi\)
\(224\) −0.586076 1.48977i −0.0391589 0.0995393i
\(225\) −1.76405 0.599115i −0.117603 0.0399410i
\(226\) −10.6199 5.45907i −0.706424 0.363132i
\(227\) −7.15828 + 14.5155i −0.475111 + 0.963431i 0.518970 + 0.854793i \(0.326316\pi\)
−0.994081 + 0.108638i \(0.965351\pi\)
\(228\) 11.6724 0.756965i 0.773024 0.0501312i
\(229\) 3.92638 + 1.33283i 0.259462 + 0.0880756i 0.448140 0.893964i \(-0.352087\pi\)
−0.188677 + 0.982039i \(0.560420\pi\)
\(230\) 26.2267 + 11.3792i 1.72934 + 0.750325i
\(231\) 0.231105 0.371583i 0.0152056 0.0244484i
\(232\) 13.0977 6.71246i 0.859903 0.440695i
\(233\) −18.2178 7.54608i −1.19349 0.494360i −0.304601 0.952480i \(-0.598523\pi\)
−0.888890 + 0.458120i \(0.848523\pi\)
\(234\) −2.67272 5.65773i −0.174721 0.369857i
\(235\) 9.43264 + 6.30269i 0.615318 + 0.411142i
\(236\) −22.0421 5.15373i −1.43482 0.335479i
\(237\) 1.47921 + 0.145804i 0.0960849 + 0.00947099i
\(238\) 0.994817 1.43643i 0.0644844 0.0931098i
\(239\) 14.4257 3.86535i 0.933121 0.250029i 0.239936 0.970789i \(-0.422874\pi\)
0.693185 + 0.720760i \(0.256207\pi\)
\(240\) 0.516055 + 16.4177i 0.0333112 + 1.05976i
\(241\) −11.6522 3.12221i −0.750587 0.201119i −0.136809 0.990597i \(-0.543685\pi\)
−0.613778 + 0.789478i \(0.710351\pi\)
\(242\) 11.0056 9.33175i 0.707466 0.599868i
\(243\) 10.6605 11.3734i 0.683873 0.729601i
\(244\) 2.47668 6.56816i 0.158553 0.420483i
\(245\) 16.3710 + 1.07302i 1.04591 + 0.0685524i
\(246\) −1.21092 14.8380i −0.0772055 0.946036i
\(247\) −3.03163 3.95089i −0.192898 0.251389i
\(248\) −3.10736 7.18590i −0.197318 0.456305i
\(249\) 4.88965 2.61309i 0.309869 0.165598i
\(250\) −2.15880 + 14.5228i −0.136535 + 0.918503i
\(251\) 5.00926 0.996405i 0.316182 0.0628925i −0.0344483 0.999406i \(-0.510967\pi\)
0.350630 + 0.936514i \(0.385967\pi\)
\(252\) −1.65336 0.386846i −0.104152 0.0243690i
\(253\) 6.32903 4.22892i 0.397903 0.265870i
\(254\) −8.23300 + 9.07812i −0.516584 + 0.569612i
\(255\) −14.5733 + 10.4414i −0.912614 + 0.653863i
\(256\) 14.7970 6.08668i 0.924815 0.380418i
\(257\) −3.92886 + 6.80498i −0.245076 + 0.424483i −0.962153 0.272510i \(-0.912146\pi\)
0.717077 + 0.696994i \(0.245479\pi\)
\(258\) −2.74402 2.03674i −0.170835 0.126802i
\(259\) −1.62798 0.802831i −0.101158 0.0498855i
\(260\) 5.68701 4.06998i 0.352693 0.252410i
\(261\) 2.03993 15.4764i 0.126269 0.957967i
\(262\) 7.14291 + 5.67258i 0.441290 + 0.350453i
\(263\) −4.66799 + 6.08345i −0.287841 + 0.375122i −0.914784 0.403944i \(-0.867639\pi\)
0.626943 + 0.779065i \(0.284306\pi\)
\(264\) 3.74896 + 2.25212i 0.230732 + 0.138608i
\(265\) 2.03359 + 2.65023i 0.124923 + 0.162802i
\(266\) −1.35122 0.0225254i −0.0828486 0.00138112i
\(267\) −12.5838 + 7.82377i −0.770116 + 0.478807i
\(268\) 25.7227 4.23064i 1.57126 0.258428i
\(269\) 23.9760 + 4.76913i 1.46184 + 0.290779i 0.861007 0.508593i \(-0.169834\pi\)
0.600837 + 0.799372i \(0.294834\pi\)
\(270\) 14.6374 + 9.44882i 0.890805 + 0.575037i
\(271\) −5.86160 + 5.86160i −0.356067 + 0.356067i −0.862361 0.506294i \(-0.831015\pi\)
0.506294 + 0.862361i \(0.331015\pi\)
\(272\) 14.5080 + 9.71967i 0.879676 + 0.589341i
\(273\) 0.254602 + 0.676618i 0.0154092 + 0.0409508i
\(274\) 16.0450 23.1676i 0.969316 1.39961i
\(275\) −0.416805 0.365528i −0.0251343 0.0220422i
\(276\) −23.4209 17.9972i −1.40977 1.08330i
\(277\) −0.775287 + 11.8286i −0.0465825 + 0.710711i 0.909149 + 0.416471i \(0.136733\pi\)
−0.955732 + 0.294240i \(0.904933\pi\)
\(278\) −6.23514 1.78260i −0.373959 0.106914i
\(279\) −8.14408 1.62126i −0.487573 0.0970623i
\(280\) 0.0948612 1.89539i 0.00566904 0.113271i
\(281\) −8.22443 6.31083i −0.490628 0.376472i 0.333614 0.942710i \(-0.391732\pi\)
−0.824242 + 0.566238i \(0.808398\pi\)
\(282\) −7.86785 8.68752i −0.468524 0.517335i
\(283\) −0.248384 0.0843149i −0.0147649 0.00501200i 0.314047 0.949407i \(-0.398315\pi\)
−0.328812 + 0.944395i \(0.606648\pi\)
\(284\) −3.35681 + 1.79161i −0.199190 + 0.106312i
\(285\) 12.9768 + 4.88526i 0.768680 + 0.289378i
\(286\) −0.0907937 1.85978i −0.00536875 0.109971i
\(287\) 1.72001i 0.101529i
\(288\) 3.61064 16.5820i 0.212759 0.977105i
\(289\) 2.05960i 0.121153i
\(290\) 17.4259 0.850727i 1.02328 0.0499564i
\(291\) 7.63112 6.26171i 0.447344 0.367068i
\(292\) 22.2322 + 6.75896i 1.30104 + 0.395538i
\(293\) 16.4810 + 5.59454i 0.962829 + 0.326836i 0.758214 0.652006i \(-0.226072\pi\)
0.204615 + 0.978843i \(0.434406\pi\)
\(294\) −16.1357 5.19132i −0.941054 0.302764i
\(295\) −21.2889 16.3356i −1.23949 0.951093i
\(296\) 7.77156 16.3926i 0.451713 0.952799i
\(297\) 4.22567 1.91345i 0.245198 0.111030i
\(298\) −1.12101 + 3.92105i −0.0649386 + 0.227140i
\(299\) −0.822474 + 12.5485i −0.0475649 + 0.725701i
\(300\) −0.824605 + 1.98690i −0.0476086 + 0.114713i
\(301\) 0.296841 + 0.260322i 0.0171096 + 0.0150047i
\(302\) 27.3508 + 18.9422i 1.57386 + 1.09000i
\(303\) −11.7481 + 14.3128i −0.674908 + 0.822249i
\(304\) 0.0165540 13.5064i 0.000949437 0.774647i
\(305\) 5.88401 5.88401i 0.336918 0.336918i
\(306\) 17.2291 6.79929i 0.984923 0.388689i
\(307\) 8.46987 + 1.68476i 0.483401 + 0.0961545i 0.430774 0.902460i \(-0.358241\pi\)
0.0526270 + 0.998614i \(0.483241\pi\)
\(308\) −0.410538 0.294568i −0.0233925 0.0167846i
\(309\) 0.172272 + 5.27475i 0.00980020 + 0.300070i
\(310\) 0.154692 9.27944i 0.00878592 0.527037i
\(311\) −16.5850 21.6140i −0.940450 1.22562i −0.974085 0.226184i \(-0.927375\pi\)
0.0336346 0.999434i \(-0.489292\pi\)
\(312\) −6.72226 + 2.64870i −0.380573 + 0.149953i
\(313\) −0.00339931 + 0.00443006i −0.000192140 + 0.000250402i −0.793449 0.608636i \(-0.791717\pi\)
0.793257 + 0.608887i \(0.208384\pi\)
\(314\) 16.3888 20.6367i 0.924872 1.16460i
\(315\) −1.59674 1.22561i −0.0899661 0.0690554i
\(316\) 0.280618 1.69322i 0.0157860 0.0952513i
\(317\) −7.99385 3.94213i −0.448979 0.221412i 0.203720 0.979029i \(-0.434697\pi\)
−0.652699 + 0.757617i \(0.726363\pi\)
\(318\) −1.37155 3.16710i −0.0769124 0.177602i
\(319\) 2.32260 4.02286i 0.130041 0.225237i
\(320\) 18.9556 + 0.655430i 1.05965 + 0.0366397i
\(321\) 27.1348 + 12.2972i 1.51452 + 0.686360i
\(322\) 2.52784 + 2.29252i 0.140871 + 0.127757i
\(323\) 12.2570 8.18987i 0.681998 0.455696i
\(324\) −12.2926 13.1489i −0.682920 0.730493i
\(325\) 0.898287 0.178680i 0.0498280 0.00991140i
\(326\) 1.28833 + 0.191509i 0.0713541 + 0.0106067i
\(327\) −0.726642 + 22.1446i −0.0401834 + 1.22460i
\(328\) −17.1883 + 0.265465i −0.949068 + 0.0146578i
\(329\) 0.824361 + 1.07433i 0.0454485 + 0.0592297i
\(330\) 2.94880 + 4.26408i 0.162326 + 0.234730i
\(331\) 4.78109 + 0.313369i 0.262792 + 0.0172243i 0.196230 0.980558i \(-0.437130\pi\)
0.0665625 + 0.997782i \(0.478797\pi\)
\(332\) −2.63848 5.83275i −0.144805 0.320114i
\(333\) −9.61841 16.6655i −0.527086 0.913264i
\(334\) −12.5187 14.7642i −0.684995 0.807863i
\(335\) 29.8492 + 7.99808i 1.63084 + 0.436982i
\(336\) −0.571604 + 1.87553i −0.0311836 + 0.102319i
\(337\) 0.726733 0.194727i 0.0395877 0.0106075i −0.238971 0.971027i \(-0.576810\pi\)
0.278559 + 0.960419i \(0.410143\pi\)
\(338\) −12.5851 8.71598i −0.684540 0.474087i
\(339\) 6.03460 + 13.3214i 0.327754 + 0.723517i
\(340\) 10.9208 + 17.5861i 0.592265 + 0.953742i
\(341\) −2.05457 1.37282i −0.111261 0.0743424i
\(342\) −11.7758 8.15820i −0.636765 0.441145i
\(343\) 3.63950 + 1.50753i 0.196515 + 0.0813991i
\(344\) −2.55563 + 3.00655i −0.137790 + 0.162103i
\(345\) −16.5032 30.8810i −0.888501 1.66258i
\(346\) 7.33995 16.9170i 0.394598 0.909464i
\(347\) 28.2480 + 9.58891i 1.51643 + 0.514760i 0.950776 0.309880i \(-0.100289\pi\)
0.565658 + 0.824640i \(0.308622\pi\)
\(348\) −17.6764 3.52874i −0.947557 0.189160i
\(349\) −10.5760 + 21.4461i −0.566122 + 1.14798i 0.406080 + 0.913837i \(0.366895\pi\)
−0.972202 + 0.234144i \(0.924771\pi\)
\(350\) 0.113627 0.221047i 0.00607363 0.0118154i
\(351\) −1.74193 + 7.46295i −0.0929773 + 0.398343i
\(352\) 2.88030 4.14803i 0.153521 0.221091i
\(353\) 26.4211 15.2542i 1.40625 0.811902i 0.411230 0.911531i \(-0.365099\pi\)
0.995025 + 0.0996297i \(0.0317658\pi\)
\(354\) 17.2266 + 21.7224i 0.915583 + 1.15453i
\(355\) −4.50091 + 0.295005i −0.238884 + 0.0156573i
\(356\) 8.05633 + 15.0946i 0.426985 + 0.800011i
\(357\) −2.04787 + 0.621044i −0.108385 + 0.0328691i
\(358\) −14.1098 + 10.4578i −0.745727 + 0.552714i
\(359\) −4.36180 + 1.80672i −0.230207 + 0.0953550i −0.494805 0.869004i \(-0.664761\pi\)
0.264598 + 0.964359i \(0.414761\pi\)
\(360\) 12.0013 16.1456i 0.632523 0.850949i
\(361\) 7.02010 + 2.90782i 0.369479 + 0.153043i
\(362\) 6.56406 + 26.2393i 0.344999 + 1.37911i
\(363\) −17.6628 + 0.576861i −0.927056 + 0.0302774i
\(364\) 0.798976 0.241832i 0.0418777 0.0126755i
\(365\) 20.7101 + 18.1622i 1.08401 + 0.950655i
\(366\) −7.37576 + 4.41702i −0.385537 + 0.230881i
\(367\) −3.12449 + 11.6608i −0.163097 + 0.608687i 0.835178 + 0.549980i \(0.185365\pi\)
−0.998275 + 0.0587074i \(0.981302\pi\)
\(368\) −22.5193 + 25.6150i −1.17390 + 1.33527i
\(369\) −10.1321 + 15.1588i −0.527458 + 0.789134i
\(370\) 16.4028 13.9081i 0.852741 0.723048i
\(371\) 0.128174 + 0.377588i 0.00665446 + 0.0196034i
\(372\) −2.48807 + 9.26007i −0.129001 + 0.480112i
\(373\) 8.10146 + 16.4281i 0.419478 + 0.850616i 0.999355 + 0.0359127i \(0.0114338\pi\)
−0.579877 + 0.814704i \(0.696900\pi\)
\(374\) 5.51095 + 0.0918698i 0.284964 + 0.00475047i
\(375\) 13.1255 12.2915i 0.677797 0.634729i
\(376\) −10.6087 + 8.40378i −0.547102 + 0.433392i
\(377\) 2.93682 + 7.09011i 0.151254 + 0.365159i
\(378\) 1.29195 + 1.62965i 0.0664509 + 0.0838199i
\(379\) 22.6557 4.50650i 1.16375 0.231483i 0.424825 0.905276i \(-0.360336\pi\)
0.738921 + 0.673792i \(0.235336\pi\)
\(380\) 6.61678 14.5798i 0.339434 0.747926i
\(381\) 14.8094 2.44388i 0.758710 0.125204i
\(382\) −26.0644 5.63773i −1.33357 0.288451i
\(383\) −15.7213 + 27.2300i −0.803319 + 1.39139i 0.114101 + 0.993469i \(0.463601\pi\)
−0.917420 + 0.397920i \(0.869732\pi\)
\(384\) −18.8307 5.42267i −0.960949 0.276724i
\(385\) −0.299490 0.518731i −0.0152634 0.0264370i
\(386\) −7.05230 21.9720i −0.358953 1.11835i
\(387\) 1.08262 + 4.04288i 0.0550327 + 0.205511i
\(388\) −6.63365 9.26924i −0.336772 0.470574i
\(389\) −24.4748 27.9081i −1.24092 1.41500i −0.874838 0.484416i \(-0.839032\pi\)
−0.366082 0.930583i \(-0.619301\pi\)
\(390\) −8.55458 0.423546i −0.433178 0.0214471i
\(391\) −36.9064 4.85882i −1.86644 0.245721i
\(392\) −7.20992 + 18.1961i −0.364156 + 0.919042i
\(393\) −2.53591 10.8797i −0.127920 0.548809i
\(394\) −4.85405 + 8.09287i −0.244544 + 0.407713i
\(395\) 1.13035 1.69169i 0.0568742 0.0851183i
\(396\) −1.88292 5.01445i −0.0946202 0.251986i
\(397\) 24.0270 + 4.77926i 1.20588 + 0.239864i 0.756811 0.653634i \(-0.226756\pi\)
0.449067 + 0.893498i \(0.351756\pi\)
\(398\) 28.8955 + 10.3490i 1.44840 + 0.518748i
\(399\) 1.27935 + 1.05010i 0.0640477 + 0.0525708i
\(400\) 2.22649 + 1.10138i 0.111325 + 0.0550689i
\(401\) −14.1274 + 3.78543i −0.705489 + 0.189035i −0.593688 0.804695i \(-0.702329\pi\)
−0.111801 + 0.993731i \(0.535662\pi\)
\(402\) −27.9011 15.5197i −1.39158 0.774050i
\(403\) 3.86568 1.31222i 0.192563 0.0653664i
\(404\) 15.5966 + 14.6257i 0.775957 + 0.727657i
\(405\) −6.85260 20.2075i −0.340508 1.00412i
\(406\) 2.00232 + 0.572458i 0.0993737 + 0.0284106i
\(407\) −0.747378 5.67690i −0.0370461 0.281393i
\(408\) −6.52225 20.3689i −0.322900 1.00841i
\(409\) 3.15049 23.9303i 0.155782 1.18328i −0.717676 0.696377i \(-0.754794\pi\)
0.873457 0.486901i \(-0.161873\pi\)
\(410\) −18.6943 8.11107i −0.923244 0.400577i
\(411\) −33.0294 + 10.0166i −1.62922 + 0.494081i
\(412\) 6.09062 + 0.203123i 0.300063 + 0.0100071i
\(413\) −1.77955 2.66328i −0.0875658 0.131051i
\(414\) 8.77374 + 35.0952i 0.431206 + 1.72484i
\(415\) 7.58886i 0.372522i
\(416\) 2.53998 + 7.94697i 0.124533 + 0.389632i
\(417\) 4.62578 + 6.45632i 0.226525 + 0.316167i
\(418\) −2.30896 3.58350i −0.112935 0.175275i
\(419\) −27.6795 + 1.81421i −1.35223 + 0.0886301i −0.724218 0.689571i \(-0.757799\pi\)
−0.628016 + 0.778201i \(0.716133\pi\)
\(420\) −1.53371 + 1.74643i −0.0748373 + 0.0852169i
\(421\) −8.38120 + 7.35011i −0.408475 + 0.358223i −0.838789 0.544456i \(-0.816736\pi\)
0.430315 + 0.902679i \(0.358403\pi\)
\(422\) −6.09467 + 0.699243i −0.296684 + 0.0340386i
\(423\) 0.936656 + 14.3243i 0.0455418 + 0.696474i
\(424\) −3.75352 + 1.33914i −0.182287 + 0.0650343i
\(425\) 0.353873 + 2.68793i 0.0171654 + 0.130384i
\(426\) 4.58455 + 0.836003i 0.222122 + 0.0405045i
\(427\) 0.890847 0.439317i 0.0431111 0.0212600i
\(428\) 16.2346 30.3281i 0.784731 1.46597i
\(429\) −1.32846 + 1.85357i −0.0641387 + 0.0894910i
\(430\) −4.22918 + 1.99867i −0.203949 + 0.0963843i
\(431\) −18.3577 18.3577i −0.884258 0.884258i 0.109706 0.993964i \(-0.465009\pi\)
−0.993964 + 0.109706i \(0.965009\pi\)
\(432\) −16.0859 + 13.1622i −0.773933 + 0.633267i
\(433\) 13.0342 13.0342i 0.626383 0.626383i −0.320773 0.947156i \(-0.603943\pi\)
0.947156 + 0.320773i \(0.103943\pi\)
\(434\) 0.373530 1.04294i 0.0179300 0.0500626i
\(435\) −17.3677 12.4475i −0.832717 0.596813i
\(436\) 25.4594 + 2.52328i 1.21928 + 0.120843i
\(437\) 12.7339 + 25.8219i 0.609147 + 1.23523i
\(438\) −16.1872 23.4074i −0.773456 1.11845i
\(439\) −18.8161 + 2.47719i −0.898044 + 0.118230i −0.565394 0.824821i \(-0.691276\pi\)
−0.332650 + 0.943051i \(0.607943\pi\)
\(440\) 5.13754 3.07291i 0.244923 0.146495i
\(441\) 11.5308 + 17.2629i 0.549087 + 0.822041i
\(442\) −5.66292 + 7.13075i −0.269358 + 0.339175i
\(443\) −15.5558 17.7380i −0.739077 0.842756i 0.253120 0.967435i \(-0.418543\pi\)
−0.992197 + 0.124679i \(0.960210\pi\)
\(444\) −19.9341 + 9.81333i −0.946031 + 0.465720i
\(445\) 1.32655 + 20.2393i 0.0628846 + 0.959434i
\(446\) 1.92919 8.91905i 0.0913498 0.422329i
\(447\) 4.06014 2.90898i 0.192038 0.137590i
\(448\) 2.11744 + 0.801396i 0.100040 + 0.0378624i
\(449\) −10.6298 −0.501652 −0.250826 0.968032i \(-0.580702\pi\)
−0.250826 + 0.968032i \(0.580702\pi\)
\(450\) 2.30355 1.27878i 0.108590 0.0602821i
\(451\) −4.51130 + 3.01436i −0.212429 + 0.141940i
\(452\) 15.8082 5.93872i 0.743554 0.279334i
\(453\) −11.8252 38.9933i −0.555597 1.83206i
\(454\) −8.40537 21.2893i −0.394484 0.999156i
\(455\) 0.981101 + 0.129164i 0.0459947 + 0.00605532i
\(456\) −10.2964 + 12.9468i −0.482172 + 0.606291i
\(457\) 30.7629 4.05001i 1.43903 0.189452i 0.629714 0.776827i \(-0.283172\pi\)
0.809315 + 0.587375i \(0.199839\pi\)
\(458\) −5.12648 + 2.84691i −0.239545 + 0.133028i
\(459\) −21.7067 6.59011i −1.01318 0.307600i
\(460\) −36.8372 + 16.6635i −1.71754 + 0.776941i
\(461\) −7.46816 22.0005i −0.347827 1.02467i −0.970275 0.242004i \(-0.922195\pi\)
0.622448 0.782661i \(-0.286138\pi\)
\(462\) 0.169699 + 0.595121i 0.00789512 + 0.0276875i
\(463\) −4.54202 16.9511i −0.211086 0.787783i −0.987508 0.157570i \(-0.949634\pi\)
0.776422 0.630213i \(-0.217033\pi\)
\(464\) −5.41163 + 20.0979i −0.251228 + 0.933022i
\(465\) −7.21152 + 8.78589i −0.334426 + 0.407436i
\(466\) 25.2129 11.9154i 1.16797 0.551969i
\(467\) 4.85642 24.4149i 0.224728 1.12978i −0.689407 0.724375i \(-0.742129\pi\)
0.914135 0.405410i \(-0.132871\pi\)
\(468\) 8.46609 + 2.57525i 0.391345 + 0.119041i
\(469\) 3.06704 + 2.04933i 0.141623 + 0.0946293i
\(470\) −15.5640 + 3.89351i −0.717913 + 0.179594i
\(471\) −31.4328 + 7.32656i −1.44835 + 0.337590i
\(472\) 26.3399 18.1943i 1.21239 0.837463i
\(473\) −0.162562 + 1.23478i −0.00747463 + 0.0567754i
\(474\) −1.55806 + 1.41106i −0.0715641 + 0.0648119i
\(475\) 1.57652 1.38257i 0.0723357 0.0634367i
\(476\) 0.559637 + 2.40682i 0.0256509 + 0.110316i
\(477\) −1.09465 + 4.08279i −0.0501207 + 0.186938i
\(478\) −9.65588 + 18.7842i −0.441650 + 0.859171i
\(479\) −3.38482 + 1.95423i −0.154657 + 0.0892910i −0.575331 0.817921i \(-0.695127\pi\)
0.420675 + 0.907212i \(0.361793\pi\)
\(480\) −17.6890 15.0570i −0.807390 0.687257i
\(481\) 8.19231 + 4.72983i 0.373537 + 0.215662i
\(482\) 14.3409 9.24032i 0.653212 0.420885i
\(483\) −0.680509 4.12375i −0.0309642 0.187637i
\(484\) −0.680168 + 20.3948i −0.0309167 + 0.927035i
\(485\) −2.63607 13.2524i −0.119698 0.601762i
\(486\) 1.78640 + 21.9729i 0.0810327 + 0.996711i
\(487\) −21.4565 + 8.88759i −0.972288 + 0.402735i −0.811564 0.584264i \(-0.801383\pi\)
−0.160725 + 0.986999i \(0.551383\pi\)
\(488\) 4.52766 + 8.83457i 0.204957 + 0.399922i
\(489\) −1.09039 1.16437i −0.0493090 0.0526548i
\(490\) −16.6774 + 16.1304i −0.753406 + 0.728699i
\(491\) −38.5694 + 19.0203i −1.74061 + 0.858374i −0.763451 + 0.645866i \(0.776497\pi\)
−0.977159 + 0.212509i \(0.931837\pi\)
\(492\) 16.6943 + 12.8283i 0.752637 + 0.578344i
\(493\) −21.5112 + 7.30207i −0.968816 + 0.328869i
\(494\) 7.01904 + 0.577694i 0.315802 + 0.0259917i
\(495\) 0.416254 6.33589i 0.0187092 0.284777i
\(496\) 10.4799 + 3.57178i 0.470561 + 0.160377i
\(497\) −0.520066 0.139351i −0.0233282 0.00625076i
\(498\) −1.90801 + 7.60482i −0.0854998 + 0.340780i
\(499\) 16.8266 19.1871i 0.753263 0.858932i −0.240476 0.970655i \(-0.577304\pi\)
0.993739 + 0.111723i \(0.0356369\pi\)
\(500\) −13.1627 16.0589i −0.588655 0.718175i
\(501\) 0.773871 + 23.6950i 0.0345740 + 1.05861i
\(502\) −3.71524 + 6.19420i −0.165819 + 0.276461i
\(503\) −13.5435 + 32.6968i −0.603873 + 1.45788i 0.265690 + 0.964058i \(0.414400\pi\)
−0.869564 + 0.493821i \(0.835600\pi\)
\(504\) 1.97602 1.36449i 0.0880191 0.0607794i
\(505\) 9.69957 + 23.4168i 0.431625 + 1.04204i
\(506\) −1.58279 + 10.6478i −0.0703634 + 0.473352i
\(507\) 5.44121 + 17.9422i 0.241652 + 0.796842i
\(508\) −1.68824 17.2493i −0.0749034 0.765315i
\(509\) −1.66049 25.3343i −0.0736001 1.12292i −0.861715 0.507393i \(-0.830609\pi\)
0.788115 0.615528i \(-0.211057\pi\)
\(510\) 2.90724 25.1864i 0.128735 1.11527i
\(511\) 1.64403 + 2.84754i 0.0727276 + 0.125968i
\(512\) −7.68167 + 21.2836i −0.339485 + 0.940611i
\(513\) 5.08928 + 16.7911i 0.224697 + 0.741343i
\(514\) −3.39610 10.5808i −0.149796 0.466700i
\(515\) 6.47904 + 3.19511i 0.285501 + 0.140793i
\(516\) 4.74058 0.939562i 0.208693 0.0413619i
\(517\) −1.37307 + 4.04494i −0.0603877 + 0.177896i
\(518\) 2.38768 0.942698i 0.104909 0.0414198i
\(519\) −19.9192 + 10.6450i −0.874354 + 0.467266i
\(520\) −1.13934 + 9.82423i −0.0499633 + 0.430821i
\(521\) 0.960245 2.31824i 0.0420691 0.101564i −0.901448 0.432887i \(-0.857495\pi\)
0.943517 + 0.331323i \(0.107495\pi\)
\(522\) 14.2746 + 16.8403i 0.624784 + 0.737082i
\(523\) 9.38931 14.0521i 0.410566 0.614456i −0.567344 0.823481i \(-0.692029\pi\)
0.977910 + 0.209025i \(0.0670291\pi\)
\(524\) −12.7285 + 2.09348i −0.556049 + 0.0914541i
\(525\) −0.277276 + 0.125607i −0.0121013 + 0.00548192i
\(526\) −1.93803 10.6696i −0.0845021 0.465218i
\(527\) 3.12761 + 11.6724i 0.136241 + 0.508458i
\(528\) −5.92095 + 1.78768i −0.257676 + 0.0777989i
\(529\) 12.8641 48.0093i 0.559307 2.08736i
\(530\) −4.70832 0.387513i −0.204516 0.0168325i
\(531\) 0.00521858 33.9548i 0.000226467 1.47351i
\(532\) 1.30732 1.39410i 0.0566796 0.0604419i
\(533\) 0.586256 8.94454i 0.0253936 0.387431i
\(534\) 3.75926 20.6154i 0.162679 0.892115i
\(535\) 32.3521 24.8246i 1.39870 1.07326i
\(536\) −20.0059 + 30.9657i −0.864124 + 1.33751i
\(537\) 21.4984 + 0.705439i 0.927726 + 0.0304420i
\(538\) −27.7744 + 20.5857i −1.19744 + 0.887513i
\(539\) 1.20518 + 6.05883i 0.0519106 + 0.260972i
\(540\) −23.8046 + 6.35691i −1.02439 + 0.273558i
\(541\) 2.02972 + 3.03769i 0.0872644 + 0.130600i 0.872534 0.488554i \(-0.162475\pi\)
−0.785269 + 0.619154i \(0.787475\pi\)
\(542\) −0.571643 11.7093i −0.0245541 0.502956i
\(543\) 13.6740 30.1729i 0.586806 1.29484i
\(544\) −23.9653 + 5.96400i −1.02751 + 0.255705i
\(545\) 26.2650 + 15.1641i 1.12507 + 0.649560i
\(546\) −0.950691 0.376107i −0.0406858 0.0160959i
\(547\) 16.4542 33.3658i 0.703531 1.42662i −0.191897 0.981415i \(-0.561464\pi\)
0.895428 0.445205i \(-0.146869\pi\)
\(548\) 9.02617 + 38.8187i 0.385579 + 1.65825i
\(549\) 10.4391 + 1.37596i 0.445530 + 0.0587247i
\(550\) 0.778903 0.0893637i 0.0332125 0.00381048i
\(551\) 13.9392 + 10.6959i 0.593829 + 0.455661i
\(552\) 41.1043 7.43689i 1.74951 0.316535i
\(553\) 0.192675 0.147845i 0.00819337 0.00628700i
\(554\) −11.6547 12.0499i −0.495162 0.511951i
\(555\) −26.3247 + 0.859757i −1.11742 + 0.0364947i
\(556\) 7.79109 4.83819i 0.330416 0.205185i
\(557\) 8.14690 40.9572i 0.345195 1.73541i −0.284595 0.958648i \(-0.591859\pi\)
0.629790 0.776765i \(-0.283141\pi\)
\(558\) 9.43566 6.99123i 0.399443 0.295963i
\(559\) −1.45493 1.45493i −0.0615368 0.0615368i
\(560\) 1.89544 + 1.90009i 0.0800968 + 0.0802934i
\(561\) −5.21783 4.28284i −0.220297 0.180821i
\(562\) 14.4247 2.62009i 0.608467 0.110522i
\(563\) 26.7090 30.4558i 1.12565 1.28356i 0.171183 0.985239i \(-0.445241\pi\)
0.954466 0.298318i \(-0.0964256\pi\)
\(564\) 16.5756 + 0.0114316i 0.697961 + 0.000481359i
\(565\) 19.9754 + 1.30926i 0.840371 + 0.0550809i
\(566\) 0.324303 0.180097i 0.0136315 0.00757002i
\(567\) 0.000782913 2.54702i 3.28793e−5 0.106965i
\(568\) 1.31229 5.21861i 0.0550626 0.218968i
\(569\) 25.5633 33.3147i 1.07167 1.39662i 0.159311 0.987228i \(-0.449073\pi\)
0.912357 0.409396i \(-0.134261\pi\)
\(570\) −17.4463 + 8.95291i −0.730744 + 0.374996i
\(571\) −11.0084 + 32.4298i −0.460688 + 1.35714i 0.430123 + 0.902770i \(0.358470\pi\)
−0.890811 + 0.454373i \(0.849863\pi\)
\(572\) 2.03451 + 1.67177i 0.0850670 + 0.0699000i
\(573\) 20.7176 + 25.2484i 0.865491 + 1.05477i
\(574\) −1.80184 1.63409i −0.0752072 0.0682058i
\(575\) −5.29504 −0.220818
\(576\) 13.9406 + 19.5361i 0.580857 + 0.814005i
\(577\) −13.9188 −0.579447 −0.289724 0.957110i \(-0.593563\pi\)
−0.289724 + 0.957110i \(0.593563\pi\)
\(578\) −2.15758 1.95672i −0.0897436 0.0813890i
\(579\) −9.95742 + 26.4501i −0.413816 + 1.09923i
\(580\) −15.6642 + 19.0631i −0.650422 + 0.791552i
\(581\) 0.291178 0.857784i 0.0120801 0.0355869i
\(582\) −0.690336 + 13.9431i −0.0286154 + 0.577959i
\(583\) −0.765723 + 0.997910i −0.0317130 + 0.0413292i
\(584\) −28.2022 + 16.8685i −1.16702 + 0.698025i
\(585\) 7.88575 + 6.91776i 0.326036 + 0.286014i
\(586\) −21.5184 + 11.9499i −0.888917 + 0.493647i
\(587\) −0.999570 0.0655153i −0.0412567 0.00270410i 0.0447608 0.998998i \(-0.485747\pi\)
−0.0860175 + 0.996294i \(0.527414\pi\)
\(588\) 20.7680 11.9713i 0.856457 0.493689i
\(589\) 6.16246 7.02694i 0.253920 0.289540i
\(590\) 37.3382 6.78210i 1.53719 0.279215i
\(591\) 10.8174 4.07043i 0.444968 0.167435i
\(592\) 9.78904 + 23.7150i 0.402327 + 0.974681i
\(593\) 4.20697 + 4.20697i 0.172759 + 0.172759i 0.788191 0.615431i \(-0.211018\pi\)
−0.615431 + 0.788191i \(0.711018\pi\)
\(594\) −2.01011 + 6.24456i −0.0824759 + 0.256218i
\(595\) −0.571465 + 2.87295i −0.0234278 + 0.117780i
\(596\) −3.04256 4.89953i −0.124628 0.200693i
\(597\) −19.8481 31.9239i −0.812330 1.30656i
\(598\) −12.3641 12.7833i −0.505606 0.522749i
\(599\) 31.3994 24.0936i 1.28294 0.984438i 0.283267 0.959041i \(-0.408582\pi\)
0.999677 0.0253963i \(-0.00808478\pi\)
\(600\) −1.29800 2.75148i −0.0529907 0.112329i
\(601\) −24.9441 19.1403i −1.01749 0.780749i −0.0416293 0.999133i \(-0.513255\pi\)
−0.975863 + 0.218384i \(0.929922\pi\)
\(602\) −0.554720 + 0.0636431i −0.0226087 + 0.00259390i
\(603\) 14.9583 + 36.1282i 0.609149 + 1.47126i
\(604\) −45.8279 + 10.6560i −1.86471 + 0.433585i
\(605\) −10.6990 + 21.6954i −0.434976 + 0.882044i
\(606\) −3.83247 25.9048i −0.155683 1.05231i
\(607\) 10.2817 + 5.93613i 0.417320 + 0.240940i 0.693930 0.720042i \(-0.255878\pi\)
−0.276610 + 0.960982i \(0.589211\pi\)
\(608\) 14.1332 + 12.8491i 0.573178 + 0.521100i
\(609\) −1.48550 2.07335i −0.0601956 0.0840166i
\(610\) 0.573828 + 11.7540i 0.0232336 + 0.475907i
\(611\) −3.92073 5.86779i −0.158616 0.237385i
\(612\) −9.24576 + 24.5084i −0.373738 + 0.990693i
\(613\) −7.30079 36.7035i −0.294876 1.48244i −0.789724 0.613462i \(-0.789776\pi\)
0.494848 0.868980i \(-0.335224\pi\)
\(614\) −9.81170 + 7.27220i −0.395968 + 0.293482i
\(615\) 11.7634 + 22.0118i 0.474346 + 0.887602i
\(616\) 0.698612 0.150214i 0.0281479 0.00605228i
\(617\) −32.3349 + 24.8115i −1.30176 + 0.998872i −0.302806 + 0.953052i \(0.597923\pi\)
−0.998950 + 0.0458203i \(0.985410\pi\)
\(618\) −5.68935 4.83081i −0.228859 0.194324i
\(619\) 1.00168 15.2827i 0.0402610 0.614265i −0.929286 0.369360i \(-0.879577\pi\)
0.969547 0.244904i \(-0.0787565\pi\)
\(620\) 9.57391 + 8.97797i 0.384498 + 0.360564i
\(621\) 18.2945 40.3521i 0.734133 1.61927i
\(622\) 38.3988 + 3.16037i 1.53965 + 0.126719i
\(623\) −0.626622 + 2.33859i −0.0251051 + 0.0936935i
\(624\) 3.61177 9.55845i 0.144586 0.382644i
\(625\) −7.17430 26.7749i −0.286972 1.07099i
\(626\) −0.00141130 0.00776980i −5.64070e−5 0.000310543i
\(627\) −0.512150 + 5.19585i −0.0204533 + 0.207502i
\(628\) 6.04832 + 36.7743i 0.241354 + 1.46746i
\(629\) −15.5569 + 23.2826i −0.620295 + 0.928337i
\(630\) 2.80090 0.508309i 0.111590 0.0202515i
\(631\) −16.2821 + 39.3086i −0.648182 + 1.56485i 0.167198 + 0.985923i \(0.446528\pi\)
−0.815380 + 0.578926i \(0.803472\pi\)
\(632\) 1.50717 + 1.90261i 0.0599521 + 0.0756819i
\(633\) 6.38008 + 3.96807i 0.253585 + 0.157717i
\(634\) 11.7242 4.62891i 0.465628 0.183838i
\(635\) 6.60417 19.4553i 0.262078 0.772058i
\(636\) 4.62080 + 1.57210i 0.183227 + 0.0623380i
\(637\) −9.15333 4.51392i −0.362668 0.178848i
\(638\) 2.00765 + 6.25501i 0.0794838 + 0.247638i
\(639\) −3.76256 4.29170i −0.148844 0.169777i
\(640\) −18.6954 + 19.2347i −0.738999 + 0.760317i
\(641\) −22.2868 38.6019i −0.880277 1.52469i −0.851033 0.525113i \(-0.824023\pi\)
−0.0292447 0.999572i \(-0.509310\pi\)
\(642\) −38.6616 + 16.7428i −1.52585 + 0.660786i
\(643\) 2.13995 + 32.6494i 0.0843915 + 1.28757i 0.804604 + 0.593812i \(0.202378\pi\)
−0.720212 + 0.693754i \(0.755956\pi\)
\(644\) −4.80315 + 0.470097i −0.189271 + 0.0185244i
\(645\) 5.57920 + 1.30134i 0.219681 + 0.0512401i
\(646\) −3.06527 + 20.6209i −0.120602 + 0.811317i
\(647\) 2.39365 + 5.77877i 0.0941040 + 0.227187i 0.963922 0.266186i \(-0.0857636\pi\)
−0.869818 + 0.493373i \(0.835764\pi\)
\(648\) 25.4529 0.385281i 0.999885 0.0151353i
\(649\) 3.86665 9.33491i 0.151779 0.366427i
\(650\) −0.666236 + 1.11078i −0.0261319 + 0.0435682i
\(651\) −1.15224 + 0.716386i −0.0451599 + 0.0280774i
\(652\) −1.42460 + 1.16768i −0.0557915 + 0.0457297i
\(653\) −7.77236 + 8.86267i −0.304156 + 0.346823i −0.883646 0.468156i \(-0.844918\pi\)
0.579490 + 0.814979i \(0.303252\pi\)
\(654\) −22.5077 21.7996i −0.880120 0.852433i
\(655\) −14.7705 3.95775i −0.577131 0.154642i
\(656\) 16.0517 18.2582i 0.626713 0.712864i
\(657\) −2.28500 + 34.7804i −0.0891463 + 1.35691i
\(658\) −1.90862 0.157087i −0.0744058 0.00612388i
\(659\) 46.5939 15.8165i 1.81504 0.616123i 0.815752 0.578401i \(-0.196323\pi\)
0.999288 0.0377219i \(-0.0120101\pi\)
\(660\) −7.26844 0.962008i −0.282924 0.0374461i
\(661\) 28.1079 13.8613i 1.09327 0.539141i 0.195991 0.980606i \(-0.437208\pi\)
0.897279 + 0.441465i \(0.145541\pi\)
\(662\) −4.87054 + 4.71082i −0.189299 + 0.183091i
\(663\) 10.8612 2.53159i 0.421814 0.0983190i
\(664\) 8.61691 + 2.77740i 0.334401 + 0.107784i
\(665\) 2.09312 0.866998i 0.0811676 0.0336207i
\(666\) 26.5963 + 5.75705i 1.03058 + 0.223081i
\(667\) −8.65569 43.5151i −0.335150 1.68491i
\(668\) 27.3600 + 0.912459i 1.05859 + 0.0353041i
\(669\) −8.63984 + 7.08942i −0.334036 + 0.274093i
\(670\) −36.7368 + 23.6707i −1.41927 + 0.914477i
\(671\) 2.71348 + 1.56663i 0.104753 + 0.0604791i
\(672\) −1.42170 2.38064i −0.0548433 0.0918352i
\(673\) 37.0178 21.3722i 1.42693 0.823840i 0.430055 0.902803i \(-0.358494\pi\)
0.996878 + 0.0789632i \(0.0251610\pi\)
\(674\) −0.486441 + 0.946306i −0.0187370 + 0.0364503i
\(675\) −3.18360 0.526369i −0.122537 0.0202599i
\(676\) 21.0871 4.90320i 0.811042 0.188584i
\(677\) 4.96092 4.35061i 0.190663 0.167207i −0.558692 0.829375i \(-0.688697\pi\)
0.749356 + 0.662168i \(0.230363\pi\)
\(678\) −19.6883 6.33427i −0.756123 0.243266i
\(679\) 0.210525 1.59909i 0.00807919 0.0613676i
\(680\) −28.7981 5.26734i −1.10435 0.201993i
\(681\) −8.13949 + 26.8249i −0.311906 + 1.02793i
\(682\) 3.39007 0.848065i 0.129813 0.0324741i
\(683\) 12.9004 + 8.61977i 0.493620 + 0.329826i 0.777340 0.629081i \(-0.216569\pi\)
−0.283720 + 0.958907i \(0.591569\pi\)
\(684\) 19.7339 4.58536i 0.754546 0.175326i
\(685\) −9.21695 + 46.3368i −0.352162 + 1.77044i
\(686\) −5.03695 + 2.38041i −0.192312 + 0.0908846i
\(687\) 7.08581 + 1.17043i 0.270340 + 0.0446547i
\(688\) −0.721611 5.53358i −0.0275112 0.210966i
\(689\) −0.537841 2.00725i −0.0204901 0.0764702i
\(690\) 48.0289 + 12.0502i 1.82843 + 0.458742i
\(691\) 12.9783 + 38.2327i 0.493716 + 1.45444i 0.853345 + 0.521346i \(0.174570\pi\)
−0.359629 + 0.933095i \(0.617097\pi\)
\(692\) 10.7485 + 23.7611i 0.408596 + 0.903262i
\(693\) 0.290153 0.700187i 0.0110220 0.0265979i
\(694\) −36.8821 + 20.4819i −1.40002 + 0.777482i
\(695\) 10.7787 1.41905i 0.408860 0.0538275i
\(696\) 20.4901 15.1649i 0.776675 0.574823i
\(697\) 26.3067 + 3.46334i 0.996437 + 0.131183i
\(698\) −12.4186 31.4540i −0.470049 1.19055i
\(699\) −33.2613 7.75813i −1.25806 0.293440i
\(700\) 0.123611 + 0.329038i 0.00467205 + 0.0124365i
\(701\) −5.27343 + 3.52359i −0.199175 + 0.133084i −0.651158 0.758942i \(-0.725717\pi\)
0.451984 + 0.892026i \(0.350717\pi\)
\(702\) −6.16306 8.91496i −0.232610 0.336474i
\(703\) 21.6575 0.816829
\(704\) 1.60893 + 6.95816i 0.0606389 + 0.262245i
\(705\) 17.8972 + 8.11079i 0.674049 + 0.305470i
\(706\) −9.12144 + 42.1703i −0.343290 + 1.58710i
\(707\) 0.197877 + 3.01902i 0.00744193 + 0.113542i
\(708\) −39.1219 2.59128i −1.47029 0.0973864i
\(709\) −21.5040 24.5206i −0.807599 0.920890i 0.190552 0.981677i \(-0.438972\pi\)
−0.998151 + 0.0607867i \(0.980639\pi\)
\(710\) 3.96705 4.99530i 0.148881 0.187470i
\(711\) 2.56899 0.167984i 0.0963448 0.00629990i
\(712\) −23.4666 5.90100i −0.879447 0.221149i
\(713\) −23.3994 + 3.08059i −0.876314 + 0.115369i
\(714\) 1.29499 2.73532i 0.0484638 0.102367i
\(715\) 1.38062 + 2.79963i 0.0516324 + 0.104700i
\(716\) 2.44966 24.7165i 0.0915480 0.923699i
\(717\) 23.5625 10.6739i 0.879960 0.398623i
\(718\) 2.25126 6.28577i 0.0840162 0.234583i
\(719\) −5.92215 + 5.92215i −0.220859 + 0.220859i −0.808860 0.588001i \(-0.799915\pi\)
0.588001 + 0.808860i \(0.299915\pi\)
\(720\) 5.51190 + 27.9113i 0.205416 + 1.04019i
\(721\) 0.609745 + 0.609745i 0.0227081 + 0.0227081i
\(722\) −9.71560 + 4.59149i −0.361577 + 0.170878i
\(723\) −20.7935 2.04959i −0.773317 0.0762251i
\(724\) −33.7237 18.0523i −1.25333 0.670908i
\(725\) −2.89810 + 1.42919i −0.107633 + 0.0530787i
\(726\) 16.1762 19.0511i 0.600355 0.707052i
\(727\) 0.796489 + 6.04993i 0.0295401 + 0.224380i 0.999847 0.0174980i \(-0.00557008\pi\)
−0.970307 + 0.241878i \(0.922237\pi\)
\(728\) −0.505730 + 1.06674i −0.0187436 + 0.0395359i
\(729\) 15.0107 22.4428i 0.555954 0.831213i
\(730\) −38.7018 + 4.44027i −1.43242 + 0.164342i
\(731\) 4.57920 4.01585i 0.169368 0.148532i
\(732\) 2.38019 11.9230i 0.0879742 0.440688i
\(733\) −22.9258 + 1.50263i −0.846783 + 0.0555011i −0.482615 0.875832i \(-0.660313\pi\)
−0.364167 + 0.931333i \(0.618646\pi\)
\(734\) −9.24707 14.3514i −0.341316 0.529721i
\(735\) 28.2797 2.78311i 1.04311 0.102657i
\(736\) −5.43907 47.9261i −0.200487 1.76658i
\(737\) 11.6358i 0.428611i
\(738\) −6.25388 25.0157i −0.230208 0.920841i
\(739\) 10.6793 + 15.9828i 0.392846 + 0.587936i 0.974192 0.225721i \(-0.0724737\pi\)
−0.581346 + 0.813656i \(0.697474\pi\)
\(740\) −1.01373 + 30.3965i −0.0372653 + 1.11740i
\(741\) −6.29506 5.89688i −0.231255 0.216627i
\(742\) −0.517322 0.224456i −0.0189915 0.00824003i
\(743\) 6.25712 47.5276i 0.229552 1.74362i −0.357361 0.933966i \(-0.616323\pi\)
0.586912 0.809650i \(-0.300343\pi\)
\(744\) −7.33680 11.4040i −0.268980 0.418089i
\(745\) −0.892386 6.77834i −0.0326945 0.248339i
\(746\) −24.9064 7.12067i −0.911889 0.260706i
\(747\) 7.61919 5.84455i 0.278771 0.213841i
\(748\) −5.33191 + 5.68583i −0.194954 + 0.207895i
\(749\) 4.60932 1.56465i 0.168421 0.0571712i
\(750\) 0.406344 + 25.4274i 0.0148376 + 0.928477i
\(751\) 15.7740 4.22662i 0.575600 0.154232i 0.0407365 0.999170i \(-0.487030\pi\)
0.534864 + 0.844938i \(0.320363\pi\)
\(752\) 1.27522 19.0974i 0.0465024 0.696410i
\(753\) 8.27952 3.11547i 0.301723 0.113534i
\(754\) −10.2175 3.65942i −0.372100 0.133268i
\(755\) −54.7035 10.8812i −1.99086 0.396008i
\(756\) −2.93459 0.194829i −0.106730 0.00708586i
\(757\) 14.2156 21.2751i 0.516673 0.773256i −0.477775 0.878482i \(-0.658557\pi\)
0.994448 + 0.105226i \(0.0335567\pi\)
\(758\) −16.8032 + 28.0149i −0.610318 + 1.01755i
\(759\) 9.62331 9.01183i 0.349304 0.327109i
\(760\) 8.98709 + 20.7830i 0.325996 + 0.753880i
\(761\) −25.0679 3.30026i −0.908712 0.119634i −0.338343 0.941023i \(-0.609866\pi\)
−0.570369 + 0.821389i \(0.693200\pi\)
\(762\) −11.5095 + 17.8358i −0.416947 + 0.646121i
\(763\) 2.38695 + 2.72180i 0.0864135 + 0.0985357i
\(764\) 30.6684 21.9482i 1.10954 0.794058i
\(765\) −21.9602 + 21.9535i −0.793974 + 0.793730i
\(766\) −13.5894 42.3390i −0.491007 1.52977i
\(767\) 8.34638 + 14.4564i 0.301370 + 0.521989i
\(768\) 23.5707 14.5747i 0.850534 0.525919i
\(769\) −8.77361 + 15.1963i −0.316385 + 0.547994i −0.979731 0.200318i \(-0.935802\pi\)
0.663346 + 0.748313i \(0.269136\pi\)
\(770\) 0.827939 + 0.179083i 0.0298368 + 0.00645371i
\(771\) −4.79509 + 12.7373i −0.172691 + 0.458722i
\(772\) 29.7173 + 13.4867i 1.06955 + 0.485396i