Properties

Label 576.2.bm.a.205.22
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.22
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.22

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.09539 - 0.894500i) q^{2} +(-1.71899 - 0.212286i) q^{3} +(0.399740 + 1.95964i) q^{4} +(2.09926 + 2.39375i) q^{5} +(1.69307 + 1.77017i) q^{6} +(-0.401915 - 0.0529131i) q^{7} +(1.31503 - 2.50413i) q^{8} +(2.90987 + 0.729836i) q^{9} +O(q^{10})\) \(q+(-1.09539 - 0.894500i) q^{2} +(-1.71899 - 0.212286i) q^{3} +(0.399740 + 1.95964i) q^{4} +(2.09926 + 2.39375i) q^{5} +(1.69307 + 1.77017i) q^{6} +(-0.401915 - 0.0529131i) q^{7} +(1.31503 - 2.50413i) q^{8} +(2.90987 + 0.729836i) q^{9} +(-0.158293 - 4.49987i) q^{10} +(-0.0136052 - 0.0275886i) q^{11} +(-0.271145 - 3.45347i) q^{12} +(0.691828 + 2.03806i) q^{13} +(0.392921 + 0.417473i) q^{14} +(-3.10046 - 4.56048i) q^{15} +(-3.68042 + 1.56670i) q^{16} +(-1.86727 - 1.86727i) q^{17} +(-2.53459 - 3.40233i) q^{18} +(-0.587985 + 2.95600i) q^{19} +(-3.85174 + 5.07069i) q^{20} +(0.679656 + 0.176278i) q^{21} +(-0.00977506 + 0.0423900i) q^{22} +(0.0505938 + 0.384298i) q^{23} +(-2.79212 + 4.02543i) q^{24} +(-0.670507 + 5.09301i) q^{25} +(1.06523 - 2.85130i) q^{26} +(-4.84711 - 1.87231i) q^{27} +(-0.0569707 - 0.808762i) q^{28} +(3.58256 - 0.234814i) q^{29} +(-0.683154 + 7.76885i) q^{30} +(-7.70724 + 4.44978i) q^{31} +(5.43289 + 1.57599i) q^{32} +(0.0175305 + 0.0503128i) q^{33} +(0.375108 + 3.71565i) q^{34} +(-0.717065 - 1.07316i) q^{35} +(-0.267027 + 5.99406i) q^{36} +(1.68150 + 8.45345i) q^{37} +(3.28821 - 2.71201i) q^{38} +(-0.756596 - 3.65028i) q^{39} +(8.75488 - 2.10898i) q^{40} +(0.682674 + 5.18542i) q^{41} +(-0.586805 - 0.801045i) q^{42} +(0.855136 - 0.421706i) q^{43} +(0.0486253 - 0.0376896i) q^{44} +(4.36154 + 8.49762i) q^{45} +(0.288335 - 0.466210i) q^{46} +(7.12206 - 1.90835i) q^{47} +(6.65919 - 1.91184i) q^{48} +(-6.60274 - 1.76920i) q^{49} +(5.29016 - 4.97904i) q^{50} +(2.81342 + 3.60621i) q^{51} +(-3.71732 + 2.17043i) q^{52} +(5.23810 - 7.83938i) q^{53} +(3.63468 + 6.38664i) q^{54} +(0.0374794 - 0.0904832i) q^{55} +(-0.661033 + 0.936867i) q^{56} +(1.63826 - 4.95652i) q^{57} +(-4.13433 - 2.94739i) q^{58} +(0.405687 + 0.462597i) q^{59} +(7.69755 - 7.89881i) q^{60} +(0.837180 + 12.7729i) q^{61} +(12.4227 + 2.01990i) q^{62} +(-1.13090 - 0.447302i) q^{63} +(-4.54138 - 6.58604i) q^{64} +(-3.42628 + 5.93449i) q^{65} +(0.0258021 - 0.0707930i) q^{66} +(2.79809 + 1.37987i) q^{67} +(2.91276 - 4.40560i) q^{68} +(-0.00538931 - 0.671345i) q^{69} +(-0.174482 + 1.81694i) q^{70} +(4.00836 + 9.67703i) q^{71} +(5.65418 - 6.32695i) q^{72} +(-2.06997 + 4.99736i) q^{73} +(5.71972 - 10.7639i) q^{74} +(2.23377 - 8.61250i) q^{75} +(-6.02775 + 0.0293903i) q^{76} +(0.00400833 + 0.0118082i) q^{77} +(-2.43641 + 4.67523i) q^{78} +(2.38156 + 8.88811i) q^{79} +(-11.4764 - 5.52109i) q^{80} +(7.93468 + 4.24745i) q^{81} +(3.89057 - 6.29069i) q^{82} +(0.647090 + 0.567483i) q^{83} +(-0.0737566 + 1.40235i) q^{84} +(0.549887 - 8.38966i) q^{85} +(-1.31392 - 0.302988i) q^{86} +(-6.20825 - 0.356885i) q^{87} +(-0.0869768 - 0.00221066i) q^{88} +(-12.1635 + 5.03828i) q^{89} +(2.82355 - 13.2096i) q^{90} +(-0.170216 - 0.855733i) q^{91} +(-0.732863 + 0.252765i) q^{92} +(14.1933 - 6.01299i) q^{93} +(-9.50843 - 4.28030i) q^{94} +(-8.31027 + 4.79794i) q^{95} +(-9.00453 - 3.86244i) q^{96} +(-3.04756 - 1.75951i) q^{97} +(5.65000 + 7.84411i) q^{98} +(-0.0194542 - 0.0902088i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.09539 0.894500i −0.774555 0.632507i
\(3\) −1.71899 0.212286i −0.992461 0.122563i
\(4\) 0.399740 + 1.95964i 0.199870 + 0.979822i
\(5\) 2.09926 + 2.39375i 0.938819 + 1.07052i 0.997388 + 0.0722349i \(0.0230131\pi\)
−0.0585683 + 0.998283i \(0.518654\pi\)
\(6\) 1.69307 + 1.77017i 0.691193 + 0.722670i
\(7\) −0.401915 0.0529131i −0.151910 0.0199993i 0.0541878 0.998531i \(-0.482743\pi\)
−0.206097 + 0.978531i \(0.566076\pi\)
\(8\) 1.31503 2.50413i 0.464934 0.885345i
\(9\) 2.90987 + 0.729836i 0.969956 + 0.243279i
\(10\) −0.158293 4.49987i −0.0500568 1.42298i
\(11\) −0.0136052 0.0275886i −0.00410212 0.00831827i 0.894812 0.446443i \(-0.147309\pi\)
−0.898914 + 0.438125i \(0.855643\pi\)
\(12\) −0.271145 3.45347i −0.0782729 0.996932i
\(13\) 0.691828 + 2.03806i 0.191879 + 0.565256i 0.999708 0.0241601i \(-0.00769114\pi\)
−0.807829 + 0.589416i \(0.799358\pi\)
\(14\) 0.392921 + 0.417473i 0.105013 + 0.111574i
\(15\) −3.10046 4.56048i −0.800535 1.17751i
\(16\) −3.68042 + 1.56670i −0.920104 + 0.391674i
\(17\) −1.86727 1.86727i −0.452879 0.452879i 0.443430 0.896309i \(-0.353761\pi\)
−0.896309 + 0.443430i \(0.853761\pi\)
\(18\) −2.53459 3.40233i −0.597409 0.801937i
\(19\) −0.587985 + 2.95600i −0.134893 + 0.678153i 0.852862 + 0.522137i \(0.174865\pi\)
−0.987755 + 0.156016i \(0.950135\pi\)
\(20\) −3.85174 + 5.07069i −0.861276 + 1.13384i
\(21\) 0.679656 + 0.176278i 0.148313 + 0.0384670i
\(22\) −0.00977506 + 0.0423900i −0.00208405 + 0.00903758i
\(23\) 0.0505938 + 0.384298i 0.0105495 + 0.0801316i 0.995910 0.0903538i \(-0.0287998\pi\)
−0.985360 + 0.170485i \(0.945466\pi\)
\(24\) −2.79212 + 4.02543i −0.569940 + 0.821687i
\(25\) −0.670507 + 5.09301i −0.134101 + 1.01860i
\(26\) 1.06523 2.85130i 0.208908 0.559186i
\(27\) −4.84711 1.87231i −0.932827 0.360325i
\(28\) −0.0569707 0.808762i −0.0107664 0.152842i
\(29\) 3.58256 0.234814i 0.665265 0.0436038i 0.270970 0.962588i \(-0.412655\pi\)
0.394295 + 0.918984i \(0.370989\pi\)
\(30\) −0.683154 + 7.76885i −0.124726 + 1.41839i
\(31\) −7.70724 + 4.44978i −1.38426 + 0.799203i −0.992661 0.120932i \(-0.961412\pi\)
−0.391600 + 0.920136i \(0.628078\pi\)
\(32\) 5.43289 + 1.57599i 0.960408 + 0.278599i
\(33\) 0.0175305 + 0.0503128i 0.00305168 + 0.00875833i
\(34\) 0.375108 + 3.71565i 0.0643304 + 0.637228i
\(35\) −0.717065 1.07316i −0.121206 0.181398i
\(36\) −0.267027 + 5.99406i −0.0445044 + 0.999009i
\(37\) 1.68150 + 8.45345i 0.276436 + 1.38974i 0.830386 + 0.557189i \(0.188120\pi\)
−0.553950 + 0.832550i \(0.686880\pi\)
\(38\) 3.28821 2.71201i 0.533418 0.439946i
\(39\) −0.756596 3.65028i −0.121152 0.584512i
\(40\) 8.75488 2.10898i 1.38427 0.333459i
\(41\) 0.682674 + 5.18542i 0.106616 + 0.809827i 0.958298 + 0.285769i \(0.0922490\pi\)
−0.851683 + 0.524058i \(0.824418\pi\)
\(42\) −0.586805 0.801045i −0.0905459 0.123604i
\(43\) 0.855136 0.421706i 0.130407 0.0643096i −0.375915 0.926654i \(-0.622671\pi\)
0.506322 + 0.862345i \(0.331005\pi\)
\(44\) 0.0486253 0.0376896i 0.00733054 0.00568192i
\(45\) 4.36154 + 8.49762i 0.650180 + 1.26675i
\(46\) 0.288335 0.466210i 0.0425126 0.0687390i
\(47\) 7.12206 1.90835i 1.03886 0.278362i 0.301219 0.953555i \(-0.402607\pi\)
0.737641 + 0.675193i \(0.235940\pi\)
\(48\) 6.65919 1.91184i 0.961172 0.275950i
\(49\) −6.60274 1.76920i −0.943249 0.252743i
\(50\) 5.29016 4.97904i 0.748142 0.704143i
\(51\) 2.81342 + 3.60621i 0.393958 + 0.504971i
\(52\) −3.71732 + 2.17043i −0.515500 + 0.300985i
\(53\) 5.23810 7.83938i 0.719509 1.07682i −0.273851 0.961772i \(-0.588298\pi\)
0.993360 0.115049i \(-0.0367025\pi\)
\(54\) 3.63468 + 6.38664i 0.494617 + 0.869111i
\(55\) 0.0374794 0.0904832i 0.00505372 0.0122008i
\(56\) −0.661033 + 0.936867i −0.0883342 + 0.125194i
\(57\) 1.63826 4.95652i 0.216993 0.656507i
\(58\) −4.13433 2.94739i −0.542864 0.387011i
\(59\) 0.405687 + 0.462597i 0.0528159 + 0.0602250i 0.777644 0.628704i \(-0.216414\pi\)
−0.724829 + 0.688929i \(0.758081\pi\)
\(60\) 7.69755 7.89881i 0.993750 1.01973i
\(61\) 0.837180 + 12.7729i 0.107190 + 1.63540i 0.625510 + 0.780216i \(0.284891\pi\)
−0.518320 + 0.855187i \(0.673442\pi\)
\(62\) 12.4227 + 2.01990i 1.57769 + 0.256528i
\(63\) −1.13090 0.447302i −0.142480 0.0563548i
\(64\) −4.54138 6.58604i −0.567673 0.823254i
\(65\) −3.42628 + 5.93449i −0.424978 + 0.736083i
\(66\) 0.0258021 0.0707930i 0.00317601 0.00871401i
\(67\) 2.79809 + 1.37987i 0.341841 + 0.168577i 0.605103 0.796147i \(-0.293132\pi\)
−0.263262 + 0.964724i \(0.584798\pi\)
\(68\) 2.91276 4.40560i 0.353224 0.534258i
\(69\) −0.00538931 0.671345i −0.000648796 0.0808205i
\(70\) −0.174482 + 1.81694i −0.0208546 + 0.217166i
\(71\) 4.00836 + 9.67703i 0.475704 + 1.14845i 0.961605 + 0.274438i \(0.0884918\pi\)
−0.485900 + 0.874014i \(0.661508\pi\)
\(72\) 5.65418 6.32695i 0.666351 0.745638i
\(73\) −2.06997 + 4.99736i −0.242272 + 0.584897i −0.997508 0.0705567i \(-0.977522\pi\)
0.755236 + 0.655453i \(0.227522\pi\)
\(74\) 5.71972 10.7639i 0.664904 1.25128i
\(75\) 2.23377 8.61250i 0.257934 0.994486i
\(76\) −6.02775 + 0.0293903i −0.691431 + 0.00337130i
\(77\) 0.00400833 + 0.0118082i 0.000456792 + 0.00134566i
\(78\) −2.43641 + 4.67523i −0.275869 + 0.529366i
\(79\) 2.38156 + 8.88811i 0.267947 + 0.999991i 0.960422 + 0.278549i \(0.0898535\pi\)
−0.692475 + 0.721442i \(0.743480\pi\)
\(80\) −11.4764 5.52109i −1.28311 0.617277i
\(81\) 7.93468 + 4.24745i 0.881631 + 0.471939i
\(82\) 3.89057 6.29069i 0.429641 0.694690i
\(83\) 0.647090 + 0.567483i 0.0710274 + 0.0622893i 0.694124 0.719856i \(-0.255792\pi\)
−0.623096 + 0.782145i \(0.714125\pi\)
\(84\) −0.0737566 + 1.40235i −0.00804751 + 0.153009i
\(85\) 0.549887 8.38966i 0.0596436 0.909986i
\(86\) −1.31392 0.302988i −0.141684 0.0326720i
\(87\) −6.20825 0.356885i −0.665594 0.0382621i
\(88\) −0.0869768 0.00221066i −0.00927176 0.000235658i
\(89\) −12.1635 + 5.03828i −1.28933 + 0.534057i −0.918785 0.394759i \(-0.870828\pi\)
−0.370542 + 0.928816i \(0.620828\pi\)
\(90\) 2.82355 13.2096i 0.297629 1.39241i
\(91\) −0.170216 0.855733i −0.0178435 0.0897052i
\(92\) −0.732863 + 0.252765i −0.0764062 + 0.0263526i
\(93\) 14.1933 6.01299i 1.47178 0.623518i
\(94\) −9.50843 4.28030i −0.980719 0.441480i
\(95\) −8.31027 + 4.79794i −0.852615 + 0.492258i
\(96\) −9.00453 3.86244i −0.919021 0.394209i
\(97\) −3.04756 1.75951i −0.309433 0.178651i 0.337240 0.941419i \(-0.390507\pi\)
−0.646673 + 0.762768i \(0.723840\pi\)
\(98\) 5.65000 + 7.84411i 0.570737 + 0.792375i
\(99\) −0.0194542 0.0902088i −0.00195522 0.00906632i
\(100\) −10.2485 + 0.721924i −1.02485 + 0.0721924i
\(101\) −10.8366 3.67855i −1.07829 0.366029i −0.274891 0.961475i \(-0.588642\pi\)
−0.803395 + 0.595446i \(0.796975\pi\)
\(102\) 0.143972 6.46680i 0.0142553 0.640308i
\(103\) −11.0665 8.49160i −1.09041 0.836703i −0.102970 0.994684i \(-0.532835\pi\)
−0.987442 + 0.157982i \(0.949501\pi\)
\(104\) 6.01335 + 0.947684i 0.589658 + 0.0929280i
\(105\) 1.00481 + 1.99698i 0.0980595 + 0.194885i
\(106\) −12.7501 + 3.90166i −1.23840 + 0.378963i
\(107\) −10.4468 6.98034i −1.00993 0.674815i −0.0635878 0.997976i \(-0.520254\pi\)
−0.946344 + 0.323161i \(0.895254\pi\)
\(108\) 1.73147 10.2470i 0.166611 0.986023i
\(109\) −2.27880 + 11.4563i −0.218269 + 1.09731i 0.703832 + 0.710366i \(0.251471\pi\)
−0.922101 + 0.386948i \(0.873529\pi\)
\(110\) −0.121992 + 0.0655887i −0.0116314 + 0.00625364i
\(111\) −1.09593 14.8884i −0.104021 1.41314i
\(112\) 1.56211 0.434937i 0.147606 0.0410977i
\(113\) −9.68709 2.59565i −0.911285 0.244178i −0.227429 0.973795i \(-0.573032\pi\)
−0.683856 + 0.729617i \(0.739698\pi\)
\(114\) −6.22813 + 3.96388i −0.583318 + 0.371251i
\(115\) −0.813704 + 0.927851i −0.0758783 + 0.0865226i
\(116\) 1.89225 + 6.92669i 0.175691 + 0.643127i
\(117\) 0.525681 + 6.43541i 0.0485992 + 0.594954i
\(118\) −0.0305905 0.869608i −0.00281608 0.0800539i
\(119\) 0.651679 + 0.849285i 0.0597394 + 0.0778538i
\(120\) −15.4973 + 1.76678i −1.41470 + 0.161284i
\(121\) 6.69580 8.72614i 0.608709 0.793285i
\(122\) 10.5083 14.7401i 0.951379 1.33451i
\(123\) −0.0727192 9.05862i −0.00655687 0.816788i
\(124\) −11.8009 13.3247i −1.05975 1.19659i
\(125\) −0.362562 + 0.242256i −0.0324285 + 0.0216681i
\(126\) 0.838662 + 1.50156i 0.0747140 + 0.133770i
\(127\) 1.05243 0.0933885 0.0466942 0.998909i \(-0.485131\pi\)
0.0466942 + 0.998909i \(0.485131\pi\)
\(128\) −0.916643 + 11.2765i −0.0810206 + 0.996712i
\(129\) −1.55949 + 0.543377i −0.137306 + 0.0478416i
\(130\) 9.06150 3.43575i 0.794746 0.301335i
\(131\) 20.2248 + 9.97378i 1.76705 + 0.871413i 0.959545 + 0.281554i \(0.0908498\pi\)
0.807506 + 0.589859i \(0.200817\pi\)
\(132\) −0.0915875 + 0.0544657i −0.00797167 + 0.00474063i
\(133\) 0.392731 1.15695i 0.0340541 0.100320i
\(134\) −1.83070 4.01438i −0.158148 0.346789i
\(135\) −5.69353 15.5332i −0.490021 1.33689i
\(136\) −7.13140 + 2.22037i −0.611513 + 0.190395i
\(137\) −2.37568 3.09605i −0.202968 0.264513i 0.680768 0.732500i \(-0.261646\pi\)
−0.883736 + 0.467986i \(0.844980\pi\)
\(138\) −0.594615 + 0.740203i −0.0506170 + 0.0630102i
\(139\) 9.35303 + 0.613030i 0.793314 + 0.0519965i 0.456671 0.889636i \(-0.349042\pi\)
0.336643 + 0.941632i \(0.390708\pi\)
\(140\) 1.81638 1.83418i 0.153512 0.155016i
\(141\) −12.6479 + 1.76853i −1.06514 + 0.148937i
\(142\) 4.26540 14.1856i 0.357945 1.19043i
\(143\) 0.0468148 0.0468148i 0.00391485 0.00391485i
\(144\) −11.8530 + 1.87279i −0.987747 + 0.156066i
\(145\) 8.08283 + 8.08283i 0.671243 + 0.671243i
\(146\) 6.73756 3.62245i 0.557604 0.299796i
\(147\) 10.9745 + 4.44291i 0.905161 + 0.366445i
\(148\) −15.8936 + 6.67432i −1.30645 + 0.548626i
\(149\) −0.465996 + 7.10972i −0.0381759 + 0.582451i 0.935328 + 0.353781i \(0.115104\pi\)
−0.973504 + 0.228670i \(0.926562\pi\)
\(150\) −10.1507 + 7.43591i −0.828803 + 0.607139i
\(151\) 5.83984 4.48106i 0.475239 0.364664i −0.343195 0.939264i \(-0.611509\pi\)
0.818434 + 0.574600i \(0.194842\pi\)
\(152\) 6.62900 + 5.35963i 0.537683 + 0.434723i
\(153\) −4.07070 6.79630i −0.329097 0.549448i
\(154\) 0.00617173 0.0165199i 0.000497332 0.00133121i
\(155\) −26.8312 9.10796i −2.15513 0.731569i
\(156\) 6.85080 2.94182i 0.548503 0.235534i
\(157\) 9.70245 19.6746i 0.774340 1.57021i −0.0464134 0.998922i \(-0.514779\pi\)
0.820753 0.571283i \(-0.193554\pi\)
\(158\) 5.34168 11.8662i 0.424962 0.944026i
\(159\) −10.6684 + 12.3639i −0.846063 + 0.980517i
\(160\) 7.63253 + 16.3134i 0.603404 + 1.28969i
\(161\) 0.157132i 0.0123837i
\(162\) −4.89219 11.7502i −0.384367 0.923180i
\(163\) 11.7145 + 17.5319i 0.917547 + 1.37321i 0.927728 + 0.373258i \(0.121759\pi\)
−0.0101807 + 0.999948i \(0.503241\pi\)
\(164\) −9.88869 + 3.41062i −0.772177 + 0.266325i
\(165\) −0.0836350 + 0.147584i −0.00651098 + 0.0114894i
\(166\) −0.201200 1.20043i −0.0156162 0.0931718i
\(167\) −2.08831 1.60241i −0.161598 0.123999i 0.524797 0.851227i \(-0.324141\pi\)
−0.686395 + 0.727229i \(0.740808\pi\)
\(168\) 1.33519 1.47014i 0.103012 0.113424i
\(169\) 6.63853 5.09392i 0.510656 0.391840i
\(170\) −8.10689 + 8.69804i −0.621770 + 0.667109i
\(171\) −3.86835 + 8.17244i −0.295820 + 0.624962i
\(172\) 1.16823 + 1.50719i 0.0890765 + 0.114922i
\(173\) −7.22017 6.33192i −0.548939 0.481407i 0.339370 0.940653i \(-0.389786\pi\)
−0.888309 + 0.459246i \(0.848120\pi\)
\(174\) 6.48119 + 5.94420i 0.491338 + 0.450629i
\(175\) 0.538974 2.01148i 0.0407426 0.152053i
\(176\) 0.0932957 + 0.0802223i 0.00703243 + 0.00604698i
\(177\) −0.599169 0.881322i −0.0450363 0.0662442i
\(178\) 17.8304 + 5.36137i 1.33645 + 0.401852i
\(179\) 12.2169 + 2.43009i 0.913133 + 0.181633i 0.629229 0.777220i \(-0.283371\pi\)
0.283903 + 0.958853i \(0.408371\pi\)
\(180\) −14.9088 + 11.9439i −1.11124 + 0.890246i
\(181\) 12.5041 18.7138i 0.929426 1.39098i 0.00904590 0.999959i \(-0.497121\pi\)
0.920380 0.391025i \(-0.127879\pi\)
\(182\) −0.579001 + 1.08962i −0.0429184 + 0.0807677i
\(183\) 1.27240 22.1342i 0.0940585 1.63621i
\(184\) 1.02887 + 0.378670i 0.0758490 + 0.0279159i
\(185\) −16.7056 + 21.7711i −1.22822 + 1.60064i
\(186\) −20.9258 6.10936i −1.53435 0.447960i
\(187\) −0.0261107 + 0.0769198i −0.00190941 + 0.00562493i
\(188\) 6.58666 + 13.1939i 0.480382 + 0.962262i
\(189\) 1.84906 + 1.00898i 0.134499 + 0.0733927i
\(190\) 13.3947 + 2.17794i 0.971754 + 0.158005i
\(191\) 4.52183 7.83204i 0.327188 0.566707i −0.654765 0.755833i \(-0.727232\pi\)
0.981953 + 0.189126i \(0.0605655\pi\)
\(192\) 6.40848 + 12.2854i 0.462492 + 0.886623i
\(193\) 2.30543 + 3.99313i 0.165949 + 0.287432i 0.936992 0.349351i \(-0.113598\pi\)
−0.771043 + 0.636783i \(0.780265\pi\)
\(194\) 1.76437 + 4.65339i 0.126675 + 0.334094i
\(195\) 7.14956 9.47399i 0.511990 0.678447i
\(196\) 0.827621 13.6463i 0.0591158 0.974733i
\(197\) 21.5468 4.28592i 1.53514 0.305359i 0.646126 0.763231i \(-0.276388\pi\)
0.889018 + 0.457872i \(0.151388\pi\)
\(198\) −0.0593819 + 0.116215i −0.00422009 + 0.00825905i
\(199\) −4.24496 10.2482i −0.300917 0.726479i −0.999935 0.0113747i \(-0.996379\pi\)
0.699018 0.715104i \(-0.253621\pi\)
\(200\) 11.8718 + 8.37651i 0.839466 + 0.592309i
\(201\) −4.51697 2.96597i −0.318602 0.209204i
\(202\) 8.57985 + 13.7228i 0.603676 + 0.965533i
\(203\) −1.45231 0.0951895i −0.101932 0.00668099i
\(204\) −5.94225 + 6.95486i −0.416041 + 0.486937i
\(205\) −10.9795 + 12.5197i −0.766842 + 0.874415i
\(206\) 4.52632 + 19.2005i 0.315364 + 1.33777i
\(207\) −0.133253 + 1.15518i −0.00926172 + 0.0802907i
\(208\) −5.73924 6.41702i −0.397945 0.444940i
\(209\) 0.0895516 0.0239953i 0.00619441 0.00165979i
\(210\) 0.685644 3.08627i 0.0473139 0.212973i
\(211\) −7.75697 + 2.63313i −0.534011 + 0.181272i −0.575402 0.817871i \(-0.695154\pi\)
0.0413908 + 0.999143i \(0.486821\pi\)
\(212\) 17.4563 + 7.13111i 1.19890 + 0.489767i
\(213\) −4.83604 17.4857i −0.331360 1.19810i
\(214\) 5.19938 + 16.9908i 0.355422 + 1.16147i
\(215\) 2.80462 + 1.16171i 0.191273 + 0.0792280i
\(216\) −11.0626 + 9.67567i −0.752715 + 0.658346i
\(217\) 3.33311 1.38062i 0.226266 0.0937224i
\(218\) 12.7438 10.5107i 0.863121 0.711873i
\(219\) 4.61914 8.15100i 0.312132 0.550793i
\(220\) 0.192297 + 0.0372765i 0.0129647 + 0.00251318i
\(221\) 2.51377 5.09743i 0.169095 0.342890i
\(222\) −12.1172 + 17.2888i −0.813252 + 1.16035i
\(223\) −15.8032 9.12398i −1.05826 0.610987i −0.133310 0.991074i \(-0.542561\pi\)
−0.924951 + 0.380088i \(0.875894\pi\)
\(224\) −2.10017 0.920886i −0.140323 0.0615293i
\(225\) −5.66815 + 14.3306i −0.377877 + 0.955375i
\(226\) 8.28930 + 11.5083i 0.551396 + 0.765523i
\(227\) −3.95203 + 0.259030i −0.262306 + 0.0171924i −0.195989 0.980606i \(-0.562792\pi\)
−0.0663170 + 0.997799i \(0.521125\pi\)
\(228\) 10.3679 + 1.22908i 0.686631 + 0.0813981i
\(229\) 17.5917 15.4275i 1.16249 1.01948i 0.163034 0.986620i \(-0.447872\pi\)
0.999460 0.0328596i \(-0.0104614\pi\)
\(230\) 1.72128 0.288497i 0.113498 0.0190229i
\(231\) −0.00438358 0.0211490i −0.000288419 0.00139151i
\(232\) 4.12318 9.28001i 0.270700 0.609263i
\(233\) −4.03147 1.66989i −0.264110 0.109398i 0.246699 0.969092i \(-0.420654\pi\)
−0.510809 + 0.859694i \(0.670654\pi\)
\(234\) 5.18065 7.51948i 0.338670 0.491564i
\(235\) 19.5192 + 13.0423i 1.27329 + 0.850787i
\(236\) −0.744356 + 0.979920i −0.0484535 + 0.0637874i
\(237\) −2.20707 15.7842i −0.143364 1.02529i
\(238\) 0.0458450 1.51322i 0.00297169 0.0980876i
\(239\) 5.48389 20.4662i 0.354724 1.32385i −0.526108 0.850417i \(-0.676349\pi\)
0.880832 0.473429i \(-0.156984\pi\)
\(240\) 18.5559 + 11.9270i 1.19778 + 0.769884i
\(241\) −1.69682 6.33262i −0.109302 0.407920i 0.889496 0.456943i \(-0.151056\pi\)
−0.998798 + 0.0490235i \(0.984389\pi\)
\(242\) −15.1400 + 3.56909i −0.973237 + 0.229430i
\(243\) −12.7380 8.98576i −0.817142 0.576437i
\(244\) −24.6957 + 6.74642i −1.58098 + 0.431895i
\(245\) −9.62588 19.5194i −0.614975 1.24705i
\(246\) −8.02328 + 9.98773i −0.511546 + 0.636795i
\(247\) −6.43129 + 0.846696i −0.409213 + 0.0538739i
\(248\) 1.00757 + 25.1516i 0.0639809 + 1.59713i
\(249\) −0.991875 1.11287i −0.0628575 0.0705251i
\(250\) 0.613843 + 0.0589477i 0.0388229 + 0.00372818i
\(251\) −9.64587 + 1.91868i −0.608842 + 0.121106i −0.489876 0.871792i \(-0.662958\pi\)
−0.118966 + 0.992898i \(0.537958\pi\)
\(252\) 0.424486 2.39497i 0.0267401 0.150869i
\(253\) 0.00991390 0.00662425i 0.000623281 0.000416463i
\(254\) −1.15282 0.941403i −0.0723345 0.0590689i
\(255\) −2.72626 + 14.3050i −0.170725 + 0.895815i
\(256\) 11.0909 11.5322i 0.693182 0.720762i
\(257\) 14.5661 + 25.2293i 0.908611 + 1.57376i 0.815996 + 0.578058i \(0.196189\pi\)
0.0926147 + 0.995702i \(0.470478\pi\)
\(258\) 2.19430 + 0.799760i 0.136611 + 0.0497909i
\(259\) −0.228520 3.48654i −0.0141995 0.216643i
\(260\) −12.9991 4.34204i −0.806171 0.269282i
\(261\) 10.5962 + 1.93141i 0.655886 + 0.119551i
\(262\) −13.2324 29.0162i −0.817503 1.79263i
\(263\) 1.49766 + 0.197171i 0.0923498 + 0.0121581i 0.176559 0.984290i \(-0.443503\pi\)
−0.0842097 + 0.996448i \(0.526837\pi\)
\(264\) 0.149043 + 0.0222641i 0.00917297 + 0.00137026i
\(265\) 29.7617 3.91820i 1.82825 0.240693i
\(266\) −1.46508 + 0.916007i −0.0898300 + 0.0561640i
\(267\) 21.9785 6.07863i 1.34506 0.372006i
\(268\) −1.58554 + 6.03485i −0.0968521 + 0.368637i
\(269\) −18.8821 3.75588i −1.15126 0.229000i −0.417676 0.908596i \(-0.637155\pi\)
−0.733587 + 0.679596i \(0.762155\pi\)
\(270\) −7.65787 + 22.1078i −0.466043 + 1.34543i
\(271\) −16.6291 + 16.6291i −1.01015 + 1.01015i −0.0101995 + 0.999948i \(0.503247\pi\)
−0.999948 + 0.0101995i \(0.996753\pi\)
\(272\) 9.79776 + 3.94687i 0.594076 + 0.239314i
\(273\) 0.110940 + 1.50713i 0.00671438 + 0.0912159i
\(274\) −0.167127 + 5.51642i −0.0100965 + 0.333259i
\(275\) 0.149631 0.0507930i 0.00902311 0.00306293i
\(276\) 1.31344 0.278925i 0.0790600 0.0167893i
\(277\) 19.0946 9.41644i 1.14729 0.565779i 0.233653 0.972320i \(-0.424932\pi\)
0.913632 + 0.406541i \(0.133265\pi\)
\(278\) −9.69682 9.03779i −0.581577 0.542051i
\(279\) −25.6747 + 7.32325i −1.53710 + 0.438432i
\(280\) −3.63031 + 0.384382i −0.216952 + 0.0229712i
\(281\) 0.966311 7.33986i 0.0576453 0.437860i −0.938148 0.346234i \(-0.887460\pi\)
0.995794 0.0916257i \(-0.0292063\pi\)
\(282\) 15.4363 + 9.37631i 0.919216 + 0.558351i
\(283\) −14.7185 + 12.9078i −0.874922 + 0.767286i −0.973703 0.227823i \(-0.926839\pi\)
0.0987802 + 0.995109i \(0.468506\pi\)
\(284\) −17.3612 + 11.7233i −1.03020 + 0.695647i
\(285\) 15.3038 6.48346i 0.906520 0.384047i
\(286\) −0.0931560 + 0.00940443i −0.00550843 + 0.000556096i
\(287\) 2.12022i 0.125153i
\(288\) 14.6588 + 8.55105i 0.863776 + 0.503875i
\(289\) 10.0266i 0.589802i
\(290\) −1.62373 16.0839i −0.0953486 0.944480i
\(291\) 4.86522 + 3.67154i 0.285204 + 0.215230i
\(292\) −10.6205 2.05877i −0.621518 0.120480i
\(293\) 14.3111 12.5505i 0.836065 0.733210i −0.129998 0.991514i \(-0.541497\pi\)
0.966063 + 0.258305i \(0.0831639\pi\)
\(294\) −8.04712 14.6834i −0.469318 0.856352i
\(295\) −0.255699 + 1.94223i −0.0148874 + 0.113081i
\(296\) 23.3798 + 6.90587i 1.35892 + 0.401395i
\(297\) 0.0142916 + 0.159198i 0.000829280 + 0.00923761i
\(298\) 6.87009 7.37105i 0.397974 0.426994i
\(299\) −0.748220 + 0.368981i −0.0432707 + 0.0213387i
\(300\) 17.7704 + 0.934633i 1.02597 + 0.0539611i
\(301\) −0.366006 + 0.124242i −0.0210962 + 0.00716120i
\(302\) −10.4052 0.315239i −0.598751 0.0181399i
\(303\) 17.8472 + 8.62386i 1.02530 + 0.495428i
\(304\) −2.46713 11.8005i −0.141500 0.676805i
\(305\) −28.8177 + 28.8177i −1.65010 + 1.65010i
\(306\) −1.62030 + 11.0858i −0.0926262 + 0.633734i
\(307\) 23.1292 + 4.60069i 1.32005 + 0.262575i 0.804332 0.594180i \(-0.202523\pi\)
0.515723 + 0.856755i \(0.327523\pi\)
\(308\) −0.0215375 + 0.0125751i −0.00122721 + 0.000716533i
\(309\) 17.2205 + 16.9463i 0.979642 + 0.964039i
\(310\) 21.2434 + 33.9772i 1.20655 + 1.92978i
\(311\) 7.90223 1.04035i 0.448095 0.0589928i 0.0968976 0.995294i \(-0.469108\pi\)
0.351197 + 0.936302i \(0.385775\pi\)
\(312\) −10.1357 2.90561i −0.573823 0.164498i
\(313\) −14.2681 1.87844i −0.806483 0.106176i −0.283999 0.958825i \(-0.591661\pi\)
−0.522484 + 0.852649i \(0.674995\pi\)
\(314\) −28.2269 + 12.8725i −1.59293 + 0.726435i
\(315\) −1.30333 3.64610i −0.0734344 0.205435i
\(316\) −16.4655 + 8.21995i −0.926259 + 0.462408i
\(317\) −0.0508123 0.775246i −0.00285390 0.0435421i 0.996194 0.0871586i \(-0.0277787\pi\)
−0.999048 + 0.0436165i \(0.986112\pi\)
\(318\) 22.7455 4.00026i 1.27551 0.224324i
\(319\) −0.0552196 0.0956432i −0.00309171 0.00535499i
\(320\) 6.23178 24.6968i 0.348367 1.38059i
\(321\) 16.4762 + 14.2169i 0.919610 + 0.793508i
\(322\) −0.140555 + 0.172120i −0.00783280 + 0.00959189i
\(323\) 6.61757 4.42172i 0.368211 0.246031i
\(324\) −5.15169 + 17.2470i −0.286205 + 0.958168i
\(325\) −10.8437 + 2.15695i −0.601502 + 0.119646i
\(326\) 2.85045 29.6828i 0.157872 1.64398i
\(327\) 6.34925 19.2095i 0.351114 1.06229i
\(328\) 13.8827 + 5.10949i 0.766546 + 0.282124i
\(329\) −2.96344 + 0.390144i −0.163380 + 0.0215093i
\(330\) 0.223626 0.0868494i 0.0123102 0.00478090i
\(331\) 10.8078 + 21.9160i 0.594050 + 1.20461i 0.961560 + 0.274595i \(0.0885436\pi\)
−0.367510 + 0.930020i \(0.619790\pi\)
\(332\) −0.853397 + 1.49491i −0.0468362 + 0.0820440i
\(333\) −1.27670 + 25.8257i −0.0699625 + 1.41524i
\(334\) 0.854143 + 3.62325i 0.0467366 + 0.198256i
\(335\) 2.57087 + 9.59463i 0.140462 + 0.524211i
\(336\) −2.77759 + 0.416039i −0.151530 + 0.0226968i
\(337\) 0.419404 1.56524i 0.0228464 0.0852640i −0.953561 0.301199i \(-0.902613\pi\)
0.976408 + 0.215935i \(0.0692799\pi\)
\(338\) −11.8283 0.358353i −0.643373 0.0194918i
\(339\) 16.1010 + 6.51833i 0.874487 + 0.354027i
\(340\) 16.6606 2.27610i 0.903546 0.123439i
\(341\) 0.227622 + 0.152092i 0.0123264 + 0.00823623i
\(342\) 11.5476 5.49174i 0.624422 0.296959i
\(343\) 5.18180 + 2.14637i 0.279791 + 0.115893i
\(344\) 0.0685217 2.69593i 0.00369444 0.145355i
\(345\) 1.59572 1.42223i 0.0859107 0.0765704i
\(346\) 2.24497 + 13.3943i 0.120690 + 0.720084i
\(347\) 17.8275 15.6343i 0.957032 0.839295i −0.0300436 0.999549i \(-0.509565\pi\)
0.987076 + 0.160254i \(0.0512313\pi\)
\(348\) −1.78232 12.3086i −0.0955423 0.659811i
\(349\) −34.2090 + 2.24217i −1.83116 + 0.120021i −0.941588 0.336767i \(-0.890666\pi\)
−0.889576 + 0.456788i \(0.849000\pi\)
\(350\) −2.38965 + 1.72123i −0.127732 + 0.0920037i
\(351\) 0.462505 11.1740i 0.0246867 0.596425i
\(352\) −0.0304360 0.171327i −0.00162225 0.00913178i
\(353\) −0.292175 0.168688i −0.0155509 0.00897833i 0.492204 0.870480i \(-0.336191\pi\)
−0.507755 + 0.861501i \(0.669525\pi\)
\(354\) −0.132021 + 1.50134i −0.00701682 + 0.0797955i
\(355\) −14.7498 + 29.9097i −0.782839 + 1.58744i
\(356\) −14.7355 21.8221i −0.780978 1.15657i
\(357\) −0.939941 1.59826i −0.0497469 0.0845887i
\(358\) −11.2085 13.5899i −0.592387 0.718248i
\(359\) 13.5262 5.60275i 0.713887 0.295702i 0.00397508 0.999992i \(-0.498735\pi\)
0.709912 + 0.704290i \(0.248735\pi\)
\(360\) 27.0148 + 0.252766i 1.42380 + 0.0133220i
\(361\) 9.16150 + 3.79482i 0.482184 + 0.199727i
\(362\) −30.4363 + 9.31385i −1.59970 + 0.489525i
\(363\) −13.3625 + 13.5787i −0.701347 + 0.712699i
\(364\) 1.60889 0.675634i 0.0843288 0.0354128i
\(365\) −16.3079 + 5.53577i −0.853592 + 0.289756i
\(366\) −21.1928 + 23.1074i −1.10777 + 1.20784i
\(367\) 22.1223 5.92767i 1.15478 0.309422i 0.369899 0.929072i \(-0.379392\pi\)
0.784878 + 0.619650i \(0.212726\pi\)
\(368\) −0.788284 1.33511i −0.0410922 0.0695974i
\(369\) −1.79801 + 15.5871i −0.0936009 + 0.811434i
\(370\) 37.7733 8.90464i 1.96374 0.462930i
\(371\) −2.52008 + 2.87360i −0.130836 + 0.149190i
\(372\) 17.4570 + 25.4102i 0.905102 + 1.31746i
\(373\) −12.6980 0.832271i −0.657477 0.0430933i −0.266987 0.963700i \(-0.586028\pi\)
−0.390491 + 0.920607i \(0.627695\pi\)
\(374\) 0.0974061 0.0609008i 0.00503675 0.00314910i
\(375\) 0.674669 0.339470i 0.0348398 0.0175301i
\(376\) 4.58697 20.3441i 0.236555 1.04917i
\(377\) 2.95708 + 7.13903i 0.152298 + 0.367679i
\(378\) −1.12289 2.75921i −0.0577555 0.141918i
\(379\) −30.2723 + 6.02153i −1.55498 + 0.309305i −0.896415 0.443216i \(-0.853838\pi\)
−0.658568 + 0.752521i \(0.728838\pi\)
\(380\) −12.7242 14.3672i −0.652738 0.737024i
\(381\) −1.80913 0.223417i −0.0926844 0.0114460i
\(382\) −11.9589 + 4.53433i −0.611871 + 0.231997i
\(383\) −10.8027 18.7108i −0.551991 0.956077i −0.998131 0.0611134i \(-0.980535\pi\)
0.446140 0.894963i \(-0.352798\pi\)
\(384\) 3.96955 19.1897i 0.202570 0.979268i
\(385\) −0.0198513 + 0.0343834i −0.00101171 + 0.00175234i
\(386\) 1.04651 6.43623i 0.0532661 0.327595i
\(387\) 2.79611 0.603002i 0.142134 0.0306523i
\(388\) 2.22978 6.67549i 0.113200 0.338897i
\(389\) −0.0119863 + 0.0353106i −0.000607732 + 0.00179032i −0.947234 0.320544i \(-0.896134\pi\)
0.946626 + 0.322334i \(0.104468\pi\)
\(390\) −16.3060 + 3.98240i −0.825687 + 0.201657i
\(391\) 0.623114 0.812058i 0.0315122 0.0410676i
\(392\) −13.1131 + 14.2076i −0.662313 + 0.717593i
\(393\) −32.6490 21.4383i −1.64693 1.08142i
\(394\) −27.4358 14.5788i −1.38219 0.734472i
\(395\) −16.2764 + 24.3594i −0.818955 + 1.22565i
\(396\) 0.169001 0.0741834i 0.00849260 0.00372785i
\(397\) 9.40625 + 1.87102i 0.472086 + 0.0939038i 0.425399 0.905006i \(-0.360134\pi\)
0.0466869 + 0.998910i \(0.485134\pi\)
\(398\) −4.51718 + 15.0229i −0.226426 + 0.753030i
\(399\) −0.920706 + 1.90541i −0.0460929 + 0.0953900i
\(400\) −5.51146 19.7949i −0.275573 0.989744i
\(401\) 2.65750 9.91791i 0.132709 0.495277i −0.867288 0.497807i \(-0.834139\pi\)
0.999997 + 0.00253037i \(0.000805441\pi\)
\(402\) 2.29476 + 7.28931i 0.114452 + 0.363558i
\(403\) −14.4010 12.6293i −0.717365 0.629112i
\(404\) 2.87680 22.7064i 0.143126 1.12969i
\(405\) 6.48964 + 27.9102i 0.322473 + 1.38687i
\(406\) 1.50569 + 1.40336i 0.0747263 + 0.0696476i
\(407\) 0.210342 0.161401i 0.0104263 0.00800035i
\(408\) 12.7302 2.30291i 0.630238 0.114011i
\(409\) 26.3747 + 20.2380i 1.30414 + 1.00070i 0.998825 + 0.0484537i \(0.0154293\pi\)
0.305318 + 0.952251i \(0.401237\pi\)
\(410\) 23.2257 3.89276i 1.14703 0.192250i
\(411\) 3.42653 + 5.82641i 0.169018 + 0.287396i
\(412\) 12.2168 25.0808i 0.601879 1.23564i
\(413\) −0.138574 0.207391i −0.00681878 0.0102050i
\(414\) 1.17927 1.14617i 0.0579581 0.0563314i
\(415\) 2.74027i 0.134515i
\(416\) 0.546656 + 12.1629i 0.0268020 + 0.596333i
\(417\) −15.9477 3.03931i −0.780960 0.148836i
\(418\) −0.119557 0.0538198i −0.00584774 0.00263241i
\(419\) 13.5897 27.5571i 0.663898 1.34625i −0.260741 0.965409i \(-0.583967\pi\)
0.924639 0.380844i \(-0.124366\pi\)
\(420\) −3.51171 + 2.76735i −0.171354 + 0.135033i
\(421\) 12.8718 + 4.36940i 0.627334 + 0.212951i 0.616960 0.786995i \(-0.288364\pi\)
0.0103748 + 0.999946i \(0.496698\pi\)
\(422\) 10.8522 + 4.05431i 0.528277 + 0.197360i
\(423\) 22.1171 0.355118i 1.07537 0.0172664i
\(424\) −12.7426 23.4259i −0.618834 1.13766i
\(425\) 10.7620 8.25799i 0.522035 0.400571i
\(426\) −10.3436 + 23.4794i −0.501149 + 1.13758i
\(427\) 0.339379 5.17792i 0.0164237 0.250577i
\(428\) 9.50297 23.2624i 0.459343 1.12443i
\(429\) −0.0904123 + 0.0705361i −0.00436515 + 0.00340552i
\(430\) −2.03299 3.78125i −0.0980393 0.182348i
\(431\) 15.9011 + 15.9011i 0.765928 + 0.765928i 0.977387 0.211459i \(-0.0678215\pi\)
−0.211459 + 0.977387i \(0.567821\pi\)
\(432\) 20.7727 0.703091i 0.999428 0.0338275i
\(433\) 20.6366 20.6366i 0.991731 0.991731i −0.00823523 0.999966i \(-0.502621\pi\)
0.999966 + 0.00823523i \(0.00262139\pi\)
\(434\) −4.88600 1.46915i −0.234535 0.0705216i
\(435\) −12.1785 15.6102i −0.583912 0.748452i
\(436\) −23.3612 + 0.113905i −1.11880 + 0.00545508i
\(437\) −1.16573 0.0764062i −0.0557646 0.00365500i
\(438\) −12.3508 + 4.79667i −0.590144 + 0.229194i
\(439\) −3.64291 4.74754i −0.173867 0.226588i 0.698289 0.715816i \(-0.253945\pi\)
−0.872156 + 0.489228i \(0.837278\pi\)
\(440\) −0.177296 0.212842i −0.00845223 0.0101468i
\(441\) −17.9219 9.96706i −0.853424 0.474622i
\(442\) −7.31320 + 3.33508i −0.347854 + 0.158634i
\(443\) −12.2580 + 36.1108i −0.582394 + 1.71568i 0.109790 + 0.993955i \(0.464982\pi\)
−0.692184 + 0.721721i \(0.743351\pi\)
\(444\) 28.7378 8.09912i 1.36384 0.384367i
\(445\) −37.5948 18.5397i −1.78216 0.878865i
\(446\) 9.14920 + 24.1302i 0.433227 + 1.14260i
\(447\) 2.31034 12.1226i 0.109275 0.573381i
\(448\) 1.47676 + 2.88732i 0.0697704 + 0.136413i
\(449\) −3.11348 −0.146934 −0.0734671 0.997298i \(-0.523406\pi\)
−0.0734671 + 0.997298i \(0.523406\pi\)
\(450\) 19.0276 10.6274i 0.896968 0.500981i
\(451\) 0.133771 0.0893827i 0.00629901 0.00420886i
\(452\) 1.21423 20.0208i 0.0571125 0.941701i
\(453\) −10.9899 + 6.46320i −0.516351 + 0.303668i
\(454\) 4.56070 + 3.25135i 0.214044 + 0.152594i
\(455\) 1.69109 2.20387i 0.0792793 0.103319i
\(456\) −10.2574 10.6204i −0.480348 0.497346i
\(457\) −10.4420 13.6083i −0.488456 0.636568i 0.482480 0.875907i \(-0.339736\pi\)
−0.970936 + 0.239339i \(0.923069\pi\)
\(458\) −33.0697 + 1.16330i −1.54524 + 0.0543575i
\(459\) 5.55475 + 12.5469i 0.259274 + 0.585641i
\(460\) −2.14353 1.22367i −0.0999426 0.0570539i
\(461\) −7.37214 + 8.40631i −0.343355 + 0.391521i −0.897584 0.440843i \(-0.854680\pi\)
0.554230 + 0.832364i \(0.313013\pi\)
\(462\) −0.0141161 + 0.0270875i −0.000656741 + 0.00126022i
\(463\) 6.14510 + 1.64657i 0.285587 + 0.0765228i 0.398769 0.917051i \(-0.369438\pi\)
−0.113182 + 0.993574i \(0.536104\pi\)
\(464\) −12.8174 + 6.47701i −0.595035 + 0.300687i
\(465\) 44.1891 + 21.3524i 2.04922 + 0.990194i
\(466\) 2.92230 + 5.43532i 0.135373 + 0.251787i
\(467\) −5.41817 + 27.2390i −0.250723 + 1.26047i 0.626132 + 0.779717i \(0.284637\pi\)
−0.876856 + 0.480754i \(0.840363\pi\)
\(468\) −12.4010 + 3.60264i −0.573236 + 0.166532i
\(469\) −1.05158 0.702644i −0.0485575 0.0324451i
\(470\) −9.71471 31.7463i −0.448106 1.46435i
\(471\) −20.8551 + 31.7608i −0.960951 + 1.46346i
\(472\) 1.69190 0.407564i 0.0778758 0.0187597i
\(473\) −0.0232686 0.0178546i −0.00106989 0.000820955i
\(474\) −11.7013 + 19.2640i −0.537461 + 0.884824i
\(475\) −14.6607 4.97663i −0.672679 0.228344i
\(476\) −1.40379 + 1.61655i −0.0643428 + 0.0740946i
\(477\) 20.9637 18.9886i 0.959860 0.869429i
\(478\) −24.3140 + 17.5130i −1.11209 + 0.801026i
\(479\) 9.88681 + 5.70815i 0.451740 + 0.260812i 0.708565 0.705646i \(-0.249343\pi\)
−0.256825 + 0.966458i \(0.582676\pi\)
\(480\) −9.65715 29.6629i −0.440786 1.35392i
\(481\) −16.0653 + 9.27533i −0.732516 + 0.422918i
\(482\) −3.80585 + 8.45446i −0.173352 + 0.385090i
\(483\) −0.0333569 + 0.270109i −0.00151779 + 0.0122904i
\(484\) 19.7767 + 9.63320i 0.898941 + 0.437873i
\(485\) −2.18581 10.9888i −0.0992523 0.498975i
\(486\) 5.91524 + 21.2370i 0.268321 + 0.963330i
\(487\) 25.2253 10.4487i 1.14307 0.473474i 0.270863 0.962618i \(-0.412691\pi\)
0.872203 + 0.489144i \(0.162691\pi\)
\(488\) 33.0860 + 14.7004i 1.49773 + 0.665454i
\(489\) −16.4153 32.6241i −0.742325 1.47531i
\(490\) −6.91600 + 29.9916i −0.312433 + 1.35488i
\(491\) 2.69744 41.1550i 0.121734 1.85730i −0.304281 0.952582i \(-0.598416\pi\)
0.426015 0.904716i \(-0.359917\pi\)
\(492\) 17.7226 3.76360i 0.798997 0.169676i
\(493\) −7.12806 6.25114i −0.321032 0.281537i
\(494\) 7.80211 + 4.82533i 0.351034 + 0.217102i
\(495\) 0.175098 0.235940i 0.00787007 0.0106047i
\(496\) 21.3944 28.4519i 0.960636 1.27753i
\(497\) −1.09898 4.10144i −0.0492958 0.183975i
\(498\) 0.0910261 + 2.10625i 0.00407898 + 0.0943833i
\(499\) 1.05357 + 3.10371i 0.0471642 + 0.138941i 0.967960 0.251103i \(-0.0807932\pi\)
−0.920796 + 0.390044i \(0.872460\pi\)
\(500\) −0.619667 0.613653i −0.0277123 0.0274434i
\(501\) 3.24961 + 3.19786i 0.145182 + 0.142870i
\(502\) 12.2822 + 6.52653i 0.548182 + 0.291293i
\(503\) −4.07027 + 9.82651i −0.181484 + 0.438142i −0.988273 0.152698i \(-0.951204\pi\)
0.806788 + 0.590840i \(0.201204\pi\)
\(504\) −2.60728 + 2.24371i −0.116137 + 0.0999430i
\(505\) −13.9435 33.6625i −0.620476 1.49796i
\(506\) −0.0167849 0.00161186i −0.000746181 7.16561e-5i
\(507\) −12.4930 + 7.34715i −0.554831 + 0.326298i
\(508\) 0.420701 + 2.06240i 0.0186656 + 0.0915041i
\(509\) −22.8143 11.2508i −1.01123 0.498682i −0.140308 0.990108i \(-0.544809\pi\)
−0.870919 + 0.491426i \(0.836476\pi\)
\(510\) 15.7821 13.2309i 0.698845 0.585873i
\(511\) 1.09638 1.89898i 0.0485010 0.0840061i
\(512\) −22.4644 + 2.71138i −0.992795 + 0.119827i
\(513\) 8.38457 13.2272i 0.370188 0.583994i
\(514\) 6.61205 40.6652i 0.291645 1.79367i
\(515\) −2.90466 44.3165i −0.127994 1.95282i
\(516\) −1.68822 2.83885i −0.0743196 0.124973i
\(517\) −0.149546 0.170524i −0.00657701 0.00749965i
\(518\) −2.86839 + 4.02352i −0.126030 + 0.176783i
\(519\) 11.0672 + 12.4173i 0.485798 + 0.545057i
\(520\) 10.3551 + 16.3839i 0.454101 + 0.718482i
\(521\) 14.5210 35.0567i 0.636174 1.53586i −0.195562 0.980691i \(-0.562653\pi\)
0.831737 0.555170i \(-0.187347\pi\)
\(522\) −9.87925 11.5939i −0.432403 0.507451i
\(523\) −3.81103 + 5.70362i −0.166645 + 0.249402i −0.905388 0.424586i \(-0.860420\pi\)
0.738743 + 0.673987i \(0.235420\pi\)
\(524\) −11.4604 + 43.6204i −0.500650 + 1.90557i
\(525\) −1.35350 + 3.34330i −0.0590716 + 0.145913i
\(526\) −1.46415 1.55564i −0.0638399 0.0678290i
\(527\) 22.7004 + 6.08255i 0.988844 + 0.264960i
\(528\) −0.143345 0.157707i −0.00623827 0.00686331i
\(529\) 22.0712 5.91395i 0.959616 0.257128i
\(530\) −36.1054 22.3299i −1.56832 0.969948i
\(531\) 0.842875 + 1.64218i 0.0365777 + 0.0712646i
\(532\) 2.42420 + 0.307135i 0.105102 + 0.0133160i
\(533\) −10.0959 + 4.97875i −0.437302 + 0.215654i
\(534\) −29.5123 13.0013i −1.27712 0.562622i
\(535\) −5.22142 39.6607i −0.225742 1.71468i
\(536\) 7.13495 5.19223i 0.308183 0.224270i
\(537\) −20.4849 6.77077i −0.883987 0.292180i
\(538\) 17.3236 + 21.0042i 0.746871 + 0.905554i
\(539\) 0.0410219 + 0.206231i 0.00176694 + 0.00888299i
\(540\) 28.1637 17.3666i 1.21197 0.747337i
\(541\) −0.433541 0.648840i −0.0186394 0.0278958i 0.822033 0.569440i \(-0.192840\pi\)
−0.840672 + 0.541544i \(0.817840\pi\)
\(542\) 33.0901 3.34056i 1.42134 0.143489i
\(543\) −25.4672 + 29.5144i −1.09290 + 1.26658i
\(544\) −7.20185 13.0874i −0.308777 0.561120i
\(545\) −32.2073 + 18.5949i −1.37961 + 0.796519i
\(546\) 1.22661 1.75013i 0.0524940 0.0748986i
\(547\) −46.5928 + 3.05385i −1.99216 + 0.130573i −0.992179 + 0.124825i \(0.960163\pi\)
−0.999983 + 0.00574821i \(0.998170\pi\)
\(548\) 5.11750 5.89311i 0.218609 0.251741i
\(549\) −6.88603 + 37.7785i −0.293889 + 1.61235i
\(550\) −0.209338 0.0782073i −0.00892622 0.00333477i
\(551\) −1.41238 + 10.7281i −0.0601696 + 0.457034i
\(552\) −1.68823 0.869345i −0.0718557 0.0370018i
\(553\) −0.486888 3.69828i −0.0207046 0.157267i
\(554\) −29.3390 6.76552i −1.24649 0.287440i
\(555\) 33.3384 33.8780i 1.41514 1.43804i
\(556\) 2.53746 + 18.5737i 0.107612 + 0.787699i
\(557\) −3.07892 + 15.4788i −0.130458 + 0.655856i 0.859110 + 0.511791i \(0.171018\pi\)
−0.989568 + 0.144066i \(0.953982\pi\)
\(558\) 34.6743 + 14.9442i 1.46788 + 0.632638i
\(559\) 1.45107 + 1.45107i 0.0613737 + 0.0613737i
\(560\) 4.32042 + 2.82626i 0.182571 + 0.119431i
\(561\) 0.0612132 0.126682i 0.00258442 0.00534850i
\(562\) −7.62399 + 7.17562i −0.321599 + 0.302685i
\(563\) 6.47669 + 19.0797i 0.272960 + 0.804114i 0.993817 + 0.111030i \(0.0354150\pi\)
−0.720857 + 0.693084i \(0.756252\pi\)
\(564\) −8.52155 24.0784i −0.358822 1.01388i
\(565\) −14.1224 28.6374i −0.594135 1.20479i
\(566\) 27.6684 0.973300i 1.16299 0.0409108i
\(567\) −2.96432 2.12696i −0.124490 0.0893240i
\(568\) 29.5037 + 2.68814i 1.23795 + 0.112792i
\(569\) −8.49238 1.11804i −0.356019 0.0468708i −0.0496045 0.998769i \(-0.515796\pi\)
−0.306415 + 0.951898i \(0.599129\pi\)
\(570\) −22.5630 6.58737i −0.945062 0.275915i
\(571\) 6.99468 + 7.97590i 0.292718 + 0.333781i 0.879442 0.476006i \(-0.157916\pi\)
−0.586724 + 0.809787i \(0.699583\pi\)
\(572\) 0.110454 + 0.0730266i 0.00461832 + 0.00305339i
\(573\) −9.43563 + 12.5033i −0.394179 + 0.522333i
\(574\) −1.89654 + 2.32246i −0.0791599 + 0.0969376i
\(575\) −1.99116 −0.0830369
\(576\) −8.40810 22.4790i −0.350338 0.936623i
\(577\) −14.2572 −0.593536 −0.296768 0.954950i \(-0.595909\pi\)
−0.296768 + 0.954950i \(0.595909\pi\)
\(578\) −8.96882 + 10.9830i −0.373054 + 0.456834i
\(579\) −3.11534 7.35357i −0.129469 0.305604i
\(580\) −12.6084 + 19.0705i −0.523537 + 0.791860i
\(581\) −0.230048 0.262319i −0.00954400 0.0108828i
\(582\) −2.04510 8.37369i −0.0847720 0.347101i
\(583\) −0.287543 0.0378557i −0.0119088 0.00156782i
\(584\) 9.79198 + 11.7552i 0.405195 + 0.486433i
\(585\) −14.3012 + 14.7680i −0.591283 + 0.610581i
\(586\) −26.9027 + 0.946363i −1.11134 + 0.0390939i
\(587\) 7.87796 + 15.9749i 0.325158 + 0.659355i 0.996661 0.0816462i \(-0.0260178\pi\)
−0.671503 + 0.741002i \(0.734351\pi\)
\(588\) −4.31958 + 23.2821i −0.178137 + 0.960138i
\(589\) −8.62180 25.3990i −0.355255 1.04655i
\(590\) 2.01741 1.89876i 0.0830554 0.0781709i
\(591\) −37.9486 + 2.79339i −1.56100 + 0.114905i
\(592\) −19.4326 28.4778i −0.798675 1.17043i
\(593\) −23.4360 23.4360i −0.962400 0.962400i 0.0369182 0.999318i \(-0.488246\pi\)
−0.999318 + 0.0369182i \(0.988246\pi\)
\(594\) 0.126748 0.187167i 0.00520053 0.00767956i
\(595\) −0.664931 + 3.34283i −0.0272595 + 0.137043i
\(596\) −14.1188 + 1.92885i −0.578329 + 0.0790090i
\(597\) 5.12150 + 18.5178i 0.209609 + 0.757883i
\(598\) 1.14964 + 0.265106i 0.0470124 + 0.0108410i
\(599\) −0.904369 6.86936i −0.0369515 0.280674i −0.999938 0.0111253i \(-0.996459\pi\)
0.962987 0.269549i \(-0.0868747\pi\)
\(600\) −18.6294 16.9194i −0.760542 0.690731i
\(601\) −4.62818 + 35.1545i −0.188788 + 1.43398i 0.590358 + 0.807141i \(0.298986\pi\)
−0.779146 + 0.626843i \(0.784347\pi\)
\(602\) 0.512052 + 0.191299i 0.0208697 + 0.00779676i
\(603\) 7.13500 + 6.05737i 0.290560 + 0.246675i
\(604\) 11.1157 + 9.65274i 0.452292 + 0.392765i
\(605\) 34.9445 2.29038i 1.42069 0.0931172i
\(606\) −11.8355 25.4108i −0.480786 1.03224i
\(607\) 19.9745 11.5323i 0.810739 0.468080i −0.0364738 0.999335i \(-0.511613\pi\)
0.847212 + 0.531255i \(0.178279\pi\)
\(608\) −7.85309 + 15.1330i −0.318485 + 0.613722i
\(609\) 2.47630 + 0.471935i 0.100345 + 0.0191238i
\(610\) 57.3439 5.78907i 2.32179 0.234393i
\(611\) 8.81658 + 13.1949i 0.356681 + 0.533810i
\(612\) 11.6911 10.6939i 0.472585 0.432275i
\(613\) 4.46840 + 22.4642i 0.180477 + 0.907319i 0.959798 + 0.280693i \(0.0905643\pi\)
−0.779321 + 0.626625i \(0.784436\pi\)
\(614\) −21.2201 25.7286i −0.856374 1.03832i
\(615\) 21.5314 19.1905i 0.868231 0.773836i
\(616\) 0.0348403 + 0.00549071i 0.00140376 + 0.000221227i
\(617\) −4.38561 33.3120i −0.176558 1.34109i −0.818574 0.574400i \(-0.805235\pi\)
0.642016 0.766691i \(-0.278098\pi\)
\(618\) −3.70471 33.9665i −0.149025 1.36633i
\(619\) 27.3227 13.4741i 1.09819 0.541569i 0.199389 0.979920i \(-0.436104\pi\)
0.898803 + 0.438352i \(0.144438\pi\)
\(620\) 7.12286 56.2204i 0.286061 2.25787i
\(621\) 0.474289 1.95746i 0.0190326 0.0785502i
\(622\) −9.58659 5.92896i −0.384387 0.237730i
\(623\) 5.15528 1.38135i 0.206542 0.0553427i
\(624\) 8.50346 + 12.2492i 0.340411 + 0.490359i
\(625\) 23.4686 + 6.28839i 0.938743 + 0.251535i
\(626\) 13.9489 + 14.8205i 0.557509 + 0.592345i
\(627\) −0.159032 + 0.0222372i −0.00635114 + 0.000888066i
\(628\) 42.4337 + 11.1486i 1.69329 + 0.444878i
\(629\) 12.6450 18.9246i 0.504191 0.754575i
\(630\) −1.83379 + 5.15972i −0.0730599 + 0.205568i
\(631\) 4.66633 11.2655i 0.185764 0.448473i −0.803372 0.595477i \(-0.796963\pi\)
0.989136 + 0.147004i \(0.0469631\pi\)
\(632\) 25.3889 + 5.72440i 1.00991 + 0.227704i
\(633\) 13.8931 2.87964i 0.552203 0.114456i
\(634\) −0.637798 + 0.894645i −0.0253302 + 0.0355309i
\(635\) 2.20934 + 2.51927i 0.0876749 + 0.0999741i
\(636\) −28.4934 15.9640i −1.12984 0.633015i
\(637\) −0.962229 14.6808i −0.0381249 0.581673i
\(638\) −0.0250660 + 0.154160i −0.000992374 + 0.00610326i
\(639\) 4.60116 + 31.0843i 0.182019 + 1.22968i
\(640\) −28.9175 + 21.4782i −1.14306 + 0.848999i
\(641\) −0.667660 + 1.15642i −0.0263710 + 0.0456759i −0.878910 0.476988i \(-0.841728\pi\)
0.852539 + 0.522664i \(0.175062\pi\)
\(642\) −5.33078 30.3109i −0.210389 1.19627i
\(643\) 4.09556 + 2.01971i 0.161513 + 0.0796494i 0.521249 0.853405i \(-0.325466\pi\)
−0.359736 + 0.933054i \(0.617133\pi\)
\(644\) 0.307923 0.0628120i 0.0121339 0.00247514i
\(645\) −4.57450 2.59235i −0.180121 0.102074i
\(646\) −11.2040 1.07593i −0.440816 0.0423318i
\(647\) 14.6847 + 35.4520i 0.577316 + 1.39376i 0.895213 + 0.445639i \(0.147023\pi\)
−0.317897 + 0.948125i \(0.602977\pi\)
\(648\) 21.0706 14.2840i 0.827729 0.561127i
\(649\) 0.00724295 0.0174860i 0.000284311 0.000686387i
\(650\) 13.8075 + 7.33702i 0.541573 + 0.287782i
\(651\) −6.02267 + 1.66570i −0.236047 + 0.0652839i
\(652\) −29.6736 + 29.9644i −1.16211 + 1.17350i
\(653\) 1.30211 + 3.83591i 0.0509557 + 0.150111i 0.969429 0.245373i \(-0.0789104\pi\)
−0.918473 + 0.395483i \(0.870577\pi\)
\(654\) −24.1378 + 15.3625i −0.943863 + 0.600719i
\(655\) 18.5825 + 69.3508i 0.726078 + 2.70976i
\(656\) −10.6365 18.0150i −0.415286 0.703366i
\(657\) −9.67060 + 13.0309i −0.377286 + 0.508385i
\(658\) 3.59509 + 2.22344i 0.140151 + 0.0866786i
\(659\) 16.3981 + 14.3808i 0.638780 + 0.560195i 0.916284 0.400530i \(-0.131174\pi\)
−0.277504 + 0.960724i \(0.589507\pi\)
\(660\) −0.322644 0.104900i −0.0125589 0.00408322i
\(661\) 0.236053 3.60147i 0.00918139 0.140081i −0.990807 0.135282i \(-0.956806\pi\)
0.999988 0.00479868i \(-0.00152747\pi\)
\(662\) 7.76519 33.6741i 0.301803 1.30878i
\(663\) −5.40327 + 8.22880i −0.209846 + 0.319580i
\(664\) 2.27200 0.874143i 0.0881706 0.0339233i
\(665\) 3.59389 1.48864i 0.139365 0.0577270i
\(666\) 24.4995 27.1471i 0.949337 1.05193i
\(667\) 0.271494 + 1.36489i 0.0105123 + 0.0528488i
\(668\) 2.30538 4.73289i 0.0891979 0.183121i
\(669\) 25.2287 + 19.0388i 0.975397 + 0.736084i
\(670\) 5.76630 12.8095i 0.222772 0.494873i
\(671\) 0.340996 0.196874i 0.0131640 0.00760025i
\(672\) 3.41468 + 2.02883i 0.131724 + 0.0782639i
\(673\) 22.1571 + 12.7924i 0.854094 + 0.493112i 0.862030 0.506857i \(-0.169193\pi\)
−0.00793579 + 0.999969i \(0.502526\pi\)
\(674\) −1.85952 + 1.33938i −0.0716258 + 0.0515911i
\(675\) 12.7857 23.4310i 0.492122 0.901859i
\(676\) 12.6360 + 10.9729i 0.485999 + 0.422035i
\(677\) −7.90438 2.68318i −0.303790 0.103123i 0.165382 0.986230i \(-0.447114\pi\)
−0.469172 + 0.883107i \(0.655448\pi\)
\(678\) −11.8062 21.5424i −0.453414 0.827333i
\(679\) 1.13176 + 0.868430i 0.0434329 + 0.0333273i
\(680\) −20.2857 12.4097i −0.777922 0.475889i
\(681\) 6.84850 + 0.393690i 0.262435 + 0.0150862i
\(682\) −0.113287 0.370207i −0.00433799 0.0141759i
\(683\) −29.1547 19.4806i −1.11557 0.745403i −0.145777 0.989317i \(-0.546568\pi\)
−0.969797 + 0.243915i \(0.921568\pi\)
\(684\) −17.5614 4.31375i −0.671478 0.164940i
\(685\) 2.42399 12.1862i 0.0926159 0.465612i
\(686\) −3.75614 6.98623i −0.143410 0.266735i
\(687\) −33.5151 + 22.7853i −1.27868 + 0.869315i
\(688\) −2.48657 + 2.89179i −0.0947996 + 0.110249i
\(689\) 19.6010 + 5.25207i 0.746738 + 0.200088i
\(690\) −3.02011 + 0.130521i −0.114974 + 0.00496884i
\(691\) −23.2501 + 26.5117i −0.884476 + 1.00855i 0.115408 + 0.993318i \(0.463182\pi\)
−0.999884 + 0.0152333i \(0.995151\pi\)
\(692\) 9.52212 16.6801i 0.361977 0.634082i
\(693\) 0.00304570 + 0.0372856i 0.000115697 + 0.00141636i
\(694\) −33.5129 + 1.17890i −1.27213 + 0.0447502i
\(695\) 18.1670 + 23.6758i 0.689115 + 0.898072i
\(696\) −9.05773 + 15.0770i −0.343333 + 0.571491i
\(697\) 8.40783 10.9573i 0.318469 0.415037i
\(698\) 39.4776 + 28.1439i 1.49425 + 1.06526i
\(699\) 6.57557 + 3.72635i 0.248711 + 0.140944i
\(700\) 4.15723 + 0.252129i 0.157129 + 0.00952957i
\(701\) 32.3641 21.6250i 1.22238 0.816765i 0.234515 0.972112i \(-0.424650\pi\)
0.987860 + 0.155347i \(0.0496497\pi\)
\(702\) −10.5018 + 11.8261i −0.396364 + 0.446349i
\(703\) −25.9771 −0.979745
\(704\) −0.119913 + 0.214895i −0.00451940 + 0.00809914i
\(705\) −30.7847 26.5633i −1.15942 1.00043i
\(706\) 0.169154 + 0.446129i 0.00636619 + 0.0167903i
\(707\) 4.16077 + 2.05186i 0.156482 + 0.0771682i
\(708\) 1.48757 1.52646i 0.0559061 0.0573678i
\(709\) −4.19432 + 12.3561i −0.157521 + 0.464042i −0.996825 0.0796202i \(-0.974629\pi\)
0.839304 + 0.543662i \(0.182963\pi\)
\(710\) 42.9109 19.5689i 1.61042 0.734408i
\(711\) 0.443176 + 27.6014i 0.0166204 + 1.03513i
\(712\) −3.37884 + 37.0845i −0.126627 + 1.38980i
\(713\) −2.09998 2.73674i −0.0786448 0.102492i
\(714\) −0.400043 + 2.59148i −0.0149712 + 0.0969839i
\(715\) 0.210339 + 0.0137864i 0.00786625 + 0.000515581i
\(716\) 0.121468 + 24.9122i 0.00453945 + 0.931011i
\(717\) −13.7714 + 34.0170i −0.514304 + 1.27039i
\(718\) −19.8281 5.96204i −0.739978 0.222501i
\(719\) 3.50503 3.50503i 0.130715 0.130715i −0.638722 0.769438i \(-0.720537\pi\)
0.769438 + 0.638722i \(0.220537\pi\)
\(720\) −29.3655 24.4416i −1.09439 0.910884i
\(721\) 3.99846 + 3.99846i 0.148911 + 0.148911i
\(722\) −6.64091 12.3517i −0.247149 0.459684i
\(723\) 1.57249 + 11.2459i 0.0584817 + 0.418241i
\(724\) 41.6708 + 17.0230i 1.54868 + 0.632656i
\(725\) −1.20623 + 18.4035i −0.0447982 + 0.683488i
\(726\) 26.7832 2.92124i 0.994019 0.108417i
\(727\) 2.78606 2.13782i 0.103329 0.0792873i −0.555805 0.831313i \(-0.687590\pi\)
0.659134 + 0.752026i \(0.270923\pi\)
\(728\) −2.36671 0.699073i −0.0877162 0.0259094i
\(729\) 19.9889 + 18.1505i 0.740331 + 0.672242i
\(730\) 22.8151 + 8.52357i 0.844426 + 0.315472i
\(731\) −2.38420 0.809328i −0.0881830 0.0299341i
\(732\) 43.8839 6.35449i 1.62200 0.234869i
\(733\) −15.2805 + 30.9857i −0.564397 + 1.14448i 0.408395 + 0.912805i \(0.366089\pi\)
−0.972792 + 0.231679i \(0.925578\pi\)
\(734\) −29.5348 13.2954i −1.09015 0.490741i
\(735\) 12.4031 + 35.5971i 0.457496 + 1.31302i
\(736\) −0.330780 + 2.16758i −0.0121927 + 0.0798981i
\(737\) 0.0959687i 0.00353505i
\(738\) 15.9122 15.4656i 0.585737 0.569297i
\(739\) 19.0466 + 28.5052i 0.700640 + 1.04858i 0.995658 + 0.0930899i \(0.0296744\pi\)
−0.295018 + 0.955492i \(0.595326\pi\)
\(740\) −49.3415 24.0342i −1.81383 0.883514i
\(741\) 11.2351 0.0901910i 0.412731 0.00331325i
\(742\) 5.33089 0.893489i 0.195703 0.0328010i
\(743\) −26.9457 20.6761i −0.988541 0.758534i −0.0180911 0.999836i \(-0.505759\pi\)
−0.970450 + 0.241302i \(0.922426\pi\)
\(744\) 3.60731 43.4492i 0.132250 1.59293i
\(745\) −17.9972 + 13.8097i −0.659365 + 0.505948i
\(746\) 13.1647 + 12.2700i 0.481995 + 0.449237i
\(747\) 1.46878 + 2.12357i 0.0537398 + 0.0776974i
\(748\) −0.161173 0.0204199i −0.00589307 0.000746624i
\(749\) 3.82938 + 3.35828i 0.139922 + 0.122709i
\(750\) −1.04268 0.231641i −0.0380732 0.00845833i
\(751\) 12.4308 46.3925i 0.453608 1.69289i −0.238541 0.971132i \(-0.576669\pi\)
0.692149 0.721755i \(-0.256664\pi\)
\(752\) −23.2223 + 18.1816i −0.846832 + 0.663016i
\(753\) 16.9885 1.25052i 0.619095 0.0455715i
\(754\) 3.14671 10.4651i 0.114597 0.381117i
\(755\) 22.9859 + 4.57218i 0.836543 + 0.166399i
\(756\) −1.23811 + 4.02682i −0.0450295 + 0.146454i
\(757\) 0.113232 0.169463i 0.00411548 0.00615925i −0.829406 0.558646i \(-0.811321\pi\)
0.833522 + 0.552487i \(0.186321\pi\)
\(758\) 38.5461 + 20.4827i 1.40006 + 0.743964i
\(759\) −0.0184481 + 0.00928246i −0.000669625 + 0.000336932i
\(760\) 1.08641 + 27.1195i 0.0394081 + 0.983726i
\(761\) −18.0934 + 23.5798i −0.655887 + 0.854768i −0.996339 0.0854938i \(-0.972753\pi\)
0.340452 + 0.940262i \(0.389420\pi\)
\(762\) 1.78185 + 1.86299i 0.0645495 + 0.0674891i
\(763\) 1.52207 4.48388i 0.0551027 0.162327i
\(764\) 17.1556 + 5.73040i 0.620667 + 0.207319i
\(765\) 7.72317 24.0115i 0.279232 0.868137i
\(766\) −4.90370 + 30.1585i −0.177178 + 1.08967i
\(767\) −0.662135 + 1.14685i −0.0239083 + 0.0414104i
\(768\) −21.5133 + 17.4693i −0.776295 + 0.630370i
\(769\) −9.04652 15.6690i −0.326226 0.565040i 0.655534 0.755166i \(-0.272444\pi\)
−0.981760 + 0.190126i \(0.939110\pi\)
\(770\) 0.0525007 0.0199061i 0.00189199 0.000717367i
\(771\) −19.6833 46.4611i −0.708875 1.67326i
\(772\) −6.90354 + 6.11405i −0.248464