Properties

Label 400.2.be.a.181.5
Level $400$
Weight $2$
Character 400.181
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.be (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 181.5
Character \(\chi\) \(=\) 400.181
Dual form 400.2.be.a.221.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.37273 + 0.340022i) q^{2} +(0.176699 - 1.11563i) q^{3} +(1.76877 - 0.933517i) q^{4} +(0.507439 - 2.17773i) q^{5} +(0.136780 + 1.59154i) q^{6} +4.59337i q^{7} +(-2.11063 + 1.88289i) q^{8} +(1.63976 + 0.532790i) q^{9} +O(q^{10})\) \(q+(-1.37273 + 0.340022i) q^{2} +(0.176699 - 1.11563i) q^{3} +(1.76877 - 0.933517i) q^{4} +(0.507439 - 2.17773i) q^{5} +(0.136780 + 1.59154i) q^{6} +4.59337i q^{7} +(-2.11063 + 1.88289i) q^{8} +(1.63976 + 0.532790i) q^{9} +(0.0439001 + 3.16197i) q^{10} +(-2.56559 + 5.03525i) q^{11} +(-0.728921 - 2.13825i) q^{12} +(1.56683 + 3.07508i) q^{13} +(-1.56185 - 6.30546i) q^{14} +(-2.33988 - 0.950917i) q^{15} +(2.25709 - 3.30235i) q^{16} +(0.981966 + 0.713440i) q^{17} +(-2.43210 - 0.173822i) q^{18} +(6.70459 - 1.06190i) q^{19} +(-1.13540 - 4.32560i) q^{20} +(5.12451 + 0.811643i) q^{21} +(1.80976 - 7.78439i) q^{22} +(-1.41375 + 0.459354i) q^{23} +(1.72766 + 2.68738i) q^{24} +(-4.48501 - 2.21013i) q^{25} +(-3.19643 - 3.68849i) q^{26} +(2.42254 - 4.75450i) q^{27} +(4.28799 + 8.12462i) q^{28} +(1.08272 - 6.83601i) q^{29} +(3.53535 + 0.509740i) q^{30} +(1.40171 + 1.01840i) q^{31} +(-1.97550 + 5.30070i) q^{32} +(5.16415 + 3.75197i) q^{33} +(-1.59056 - 0.645470i) q^{34} +(10.0031 + 2.33086i) q^{35} +(3.39772 - 0.588359i) q^{36} +(-4.04911 + 2.06313i) q^{37} +(-8.84252 + 3.73742i) q^{38} +(3.70751 - 1.20464i) q^{39} +(3.02940 + 5.55182i) q^{40} +(-1.56322 - 0.507919i) q^{41} +(-7.31055 + 0.628282i) q^{42} +(1.39763 + 1.39763i) q^{43} +(0.162556 + 11.3012i) q^{44} +(1.99235 - 3.30059i) q^{45} +(1.78450 - 1.11127i) q^{46} +(-6.49783 + 4.72095i) q^{47} +(-3.28538 - 3.10161i) q^{48} -14.0991 q^{49} +(6.90820 + 1.50891i) q^{50} +(0.969449 - 0.969449i) q^{51} +(5.64200 + 3.97644i) q^{52} +(3.66760 + 0.580891i) q^{53} +(-1.70885 + 7.35036i) q^{54} +(9.66353 + 8.14224i) q^{55} +(-8.64880 - 9.69489i) q^{56} -7.66749i q^{57} +(0.838118 + 9.75214i) q^{58} +(12.0213 - 6.12515i) q^{59} +(-5.02641 + 0.502364i) q^{60} +(1.53658 + 0.782928i) q^{61} +(-2.27044 - 0.921376i) q^{62} +(-2.44730 + 7.53202i) q^{63} +(0.909476 - 7.94814i) q^{64} +(7.49176 - 1.85172i) q^{65} +(-8.36473 - 3.39452i) q^{66} +(1.81644 - 0.287696i) q^{67} +(2.40288 + 0.345230i) q^{68} +(0.262663 + 1.65839i) q^{69} +(-14.5241 + 0.201650i) q^{70} +(-2.40796 - 3.31427i) q^{71} +(-4.46410 + 1.96296i) q^{72} +(8.13655 - 2.64373i) q^{73} +(4.85682 - 4.20890i) q^{74} +(-3.25819 + 4.61309i) q^{75} +(10.8676 - 8.13711i) q^{76} +(-23.1288 - 11.7847i) q^{77} +(-4.67980 + 2.91428i) q^{78} +(-9.12238 + 6.62780i) q^{79} +(-6.04629 - 6.59108i) q^{80} +(-0.691625 - 0.502495i) q^{81} +(2.31857 + 0.165708i) q^{82} +(-3.18846 + 0.505003i) q^{83} +(9.82177 - 3.34821i) q^{84} +(2.05197 - 1.77643i) q^{85} +(-2.39379 - 1.44334i) q^{86} +(-7.43515 - 2.41583i) q^{87} +(-4.06581 - 15.4582i) q^{88} +(-4.23039 + 1.37454i) q^{89} +(-1.61268 + 5.20826i) q^{90} +(-14.1250 + 7.19704i) q^{91} +(-2.07178 + 2.13225i) q^{92} +(1.38384 - 1.38384i) q^{93} +(7.31453 - 8.68999i) q^{94} +(1.08963 - 15.1396i) q^{95} +(5.56456 + 3.14056i) q^{96} +(3.31506 - 2.40853i) q^{97} +(19.3542 - 4.79401i) q^{98} +(-6.88967 + 6.88967i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464 q - 6 q^{2} - 6 q^{3} - 6 q^{4} - 8 q^{5} - 6 q^{6} + 12 q^{8} + O(q^{10}) \) \( 464 q - 6 q^{2} - 6 q^{3} - 6 q^{4} - 8 q^{5} - 6 q^{6} + 12 q^{8} - 14 q^{10} - 6 q^{11} + 10 q^{12} - 6 q^{13} + 6 q^{14} - 16 q^{15} - 6 q^{16} - 12 q^{17} - 24 q^{18} - 6 q^{19} - 22 q^{20} + 12 q^{21} + 10 q^{22} - 16 q^{24} + 4 q^{26} - 18 q^{27} + 18 q^{28} - 6 q^{29} - 6 q^{30} + 12 q^{31} - 36 q^{32} - 12 q^{33} - 30 q^{34} + 44 q^{35} - 82 q^{36} - 6 q^{37} - 76 q^{38} - 52 q^{40} - 10 q^{42} - 48 q^{43} + 36 q^{44} - 12 q^{45} - 14 q^{46} - 12 q^{47} - 116 q^{48} - 400 q^{49} + 10 q^{50} - 4 q^{51} + 32 q^{52} - 6 q^{53} - 30 q^{54} + 36 q^{56} + 26 q^{58} - 6 q^{59} + 48 q^{60} - 6 q^{61} - 34 q^{62} + 72 q^{63} - 24 q^{64} + 16 q^{65} + 92 q^{66} + 30 q^{67} + 28 q^{68} - 18 q^{69} + 60 q^{70} + 22 q^{72} + 28 q^{74} - 26 q^{75} - 76 q^{76} + 36 q^{77} + 14 q^{78} - 52 q^{79} - 34 q^{80} + 72 q^{81} + 56 q^{82} - 46 q^{83} + 112 q^{84} + 2 q^{85} - 46 q^{86} - 136 q^{88} - 42 q^{90} + 36 q^{91} - 4 q^{93} + 50 q^{94} - 40 q^{95} - 66 q^{96} - 12 q^{97} - 8 q^{98} - 40 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{2}{5}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.37273 + 0.340022i −0.970666 + 0.240432i
\(3\) 0.176699 1.11563i 0.102017 0.644110i −0.882699 0.469940i \(-0.844276\pi\)
0.984716 0.174170i \(-0.0557244\pi\)
\(4\) 1.76877 0.933517i 0.884385 0.466758i
\(5\) 0.507439 2.17773i 0.226934 0.973910i
\(6\) 0.136780 + 1.59154i 0.0558403 + 0.649744i
\(7\) 4.59337i 1.73613i 0.496448 + 0.868066i \(0.334637\pi\)
−0.496448 + 0.868066i \(0.665363\pi\)
\(8\) −2.11063 + 1.88289i −0.746219 + 0.665701i
\(9\) 1.63976 + 0.532790i 0.546586 + 0.177597i
\(10\) 0.0439001 + 3.16197i 0.0138824 + 0.999904i
\(11\) −2.56559 + 5.03525i −0.773554 + 1.51818i 0.0797758 + 0.996813i \(0.474580\pi\)
−0.853330 + 0.521372i \(0.825420\pi\)
\(12\) −0.728921 2.13825i −0.210421 0.617259i
\(13\) 1.56683 + 3.07508i 0.434561 + 0.852873i 0.999613 + 0.0278181i \(0.00885593\pi\)
−0.565052 + 0.825055i \(0.691144\pi\)
\(14\) −1.56185 6.30546i −0.417422 1.68520i
\(15\) −2.33988 0.950917i −0.604154 0.245526i
\(16\) 2.25709 3.30235i 0.564273 0.825588i
\(17\) 0.981966 + 0.713440i 0.238162 + 0.173035i 0.700464 0.713688i \(-0.252976\pi\)
−0.462302 + 0.886722i \(0.652976\pi\)
\(18\) −2.43210 0.173822i −0.573252 0.0409702i
\(19\) 6.70459 1.06190i 1.53814 0.243617i 0.670915 0.741535i \(-0.265902\pi\)
0.867225 + 0.497917i \(0.165902\pi\)
\(20\) −1.13540 4.32560i −0.253884 0.967235i
\(21\) 5.12451 + 0.811643i 1.11826 + 0.177115i
\(22\) 1.80976 7.78439i 0.385842 1.65964i
\(23\) −1.41375 + 0.459354i −0.294786 + 0.0957819i −0.452677 0.891675i \(-0.649531\pi\)
0.157890 + 0.987457i \(0.449531\pi\)
\(24\) 1.72766 + 2.68738i 0.352658 + 0.548560i
\(25\) −4.48501 2.21013i −0.897002 0.442026i
\(26\) −3.19643 3.68849i −0.626871 0.723373i
\(27\) 2.42254 4.75450i 0.466218 0.915004i
\(28\) 4.28799 + 8.12462i 0.810354 + 1.53541i
\(29\) 1.08272 6.83601i 0.201056 1.26942i −0.656225 0.754566i \(-0.727848\pi\)
0.857280 0.514850i \(-0.172152\pi\)
\(30\) 3.53535 + 0.509740i 0.645464 + 0.0930654i
\(31\) 1.40171 + 1.01840i 0.251754 + 0.182910i 0.706504 0.707709i \(-0.250271\pi\)
−0.454750 + 0.890619i \(0.650271\pi\)
\(32\) −1.97550 + 5.30070i −0.349223 + 0.937040i
\(33\) 5.16415 + 3.75197i 0.898962 + 0.653134i
\(34\) −1.59056 0.645470i −0.272779 0.110697i
\(35\) 10.0031 + 2.33086i 1.69084 + 0.393987i
\(36\) 3.39772 0.588359i 0.566287 0.0980599i
\(37\) −4.04911 + 2.06313i −0.665670 + 0.339176i −0.753961 0.656919i \(-0.771859\pi\)
0.0882914 + 0.996095i \(0.471859\pi\)
\(38\) −8.84252 + 3.73742i −1.43445 + 0.606289i
\(39\) 3.70751 1.20464i 0.593677 0.192897i
\(40\) 3.02940 + 5.55182i 0.478991 + 0.877820i
\(41\) −1.56322 0.507919i −0.244133 0.0793237i 0.184395 0.982852i \(-0.440968\pi\)
−0.428528 + 0.903529i \(0.640968\pi\)
\(42\) −7.31055 + 0.628282i −1.12804 + 0.0969461i
\(43\) 1.39763 + 1.39763i 0.213137 + 0.213137i 0.805598 0.592462i \(-0.201844\pi\)
−0.592462 + 0.805598i \(0.701844\pi\)
\(44\) 0.162556 + 11.3012i 0.0245062 + 1.70372i
\(45\) 1.99235 3.30059i 0.297002 0.492023i
\(46\) 1.78450 1.11127i 0.263110 0.163848i
\(47\) −6.49783 + 4.72095i −0.947806 + 0.688621i −0.950287 0.311375i \(-0.899210\pi\)
0.00248086 + 0.999997i \(0.499210\pi\)
\(48\) −3.28538 3.10161i −0.474204 0.447678i
\(49\) −14.0991 −2.01416
\(50\) 6.90820 + 1.50891i 0.976967 + 0.213392i
\(51\) 0.969449 0.969449i 0.135750 0.135750i
\(52\) 5.64200 + 3.97644i 0.782404 + 0.551433i
\(53\) 3.66760 + 0.580891i 0.503784 + 0.0797915i 0.403153 0.915132i \(-0.367914\pi\)
0.100630 + 0.994924i \(0.467914\pi\)
\(54\) −1.70885 + 7.35036i −0.232545 + 1.00026i
\(55\) 9.66353 + 8.14224i 1.30303 + 1.09790i
\(56\) −8.64880 9.69489i −1.15575 1.29553i
\(57\) 7.66749i 1.01558i
\(58\) 0.838118 + 9.75214i 0.110050 + 1.28052i
\(59\) 12.0213 6.12515i 1.56504 0.797427i 0.565413 0.824808i \(-0.308717\pi\)
0.999625 + 0.0273809i \(0.00871671\pi\)
\(60\) −5.02641 + 0.502364i −0.648906 + 0.0648549i
\(61\) 1.53658 + 0.782928i 0.196739 + 0.100244i 0.549585 0.835438i \(-0.314786\pi\)
−0.352846 + 0.935682i \(0.614786\pi\)
\(62\) −2.27044 0.921376i −0.288347 0.117015i
\(63\) −2.44730 + 7.53202i −0.308331 + 0.948946i
\(64\) 0.909476 7.94814i 0.113685 0.993517i
\(65\) 7.49176 1.85172i 0.929238 0.229677i
\(66\) −8.36473 3.39452i −1.02963 0.417836i
\(67\) 1.81644 0.287696i 0.221914 0.0351477i −0.0444873 0.999010i \(-0.514165\pi\)
0.266401 + 0.963862i \(0.414165\pi\)
\(68\) 2.40288 + 0.345230i 0.291392 + 0.0418652i
\(69\) 0.262663 + 1.65839i 0.0316209 + 0.199646i
\(70\) −14.5241 + 0.201650i −1.73597 + 0.0241017i
\(71\) −2.40796 3.31427i −0.285772 0.393332i 0.641863 0.766819i \(-0.278162\pi\)
−0.927635 + 0.373488i \(0.878162\pi\)
\(72\) −4.46410 + 1.96296i −0.526099 + 0.231337i
\(73\) 8.13655 2.64373i 0.952312 0.309425i 0.208657 0.977989i \(-0.433091\pi\)
0.743655 + 0.668564i \(0.233091\pi\)
\(74\) 4.85682 4.20890i 0.564594 0.489275i
\(75\) −3.25819 + 4.61309i −0.376223 + 0.532674i
\(76\) 10.8676 8.13711i 1.24660 0.933391i
\(77\) −23.1288 11.7847i −2.63577 1.34299i
\(78\) −4.67980 + 2.91428i −0.529883 + 0.329978i
\(79\) −9.12238 + 6.62780i −1.02635 + 0.745685i −0.967574 0.252586i \(-0.918719\pi\)
−0.0587734 + 0.998271i \(0.518719\pi\)
\(80\) −6.04629 6.59108i −0.675996 0.736905i
\(81\) −0.691625 0.502495i −0.0768472 0.0558328i
\(82\) 2.31857 + 0.165708i 0.256044 + 0.0182994i
\(83\) −3.18846 + 0.505003i −0.349979 + 0.0554313i −0.328949 0.944348i \(-0.606695\pi\)
−0.0210299 + 0.999779i \(0.506695\pi\)
\(84\) 9.82177 3.34821i 1.07164 0.365320i
\(85\) 2.05197 1.77643i 0.222567 0.192681i
\(86\) −2.39379 1.44334i −0.258129 0.155640i
\(87\) −7.43515 2.41583i −0.797132 0.259004i
\(88\) −4.06581 15.4582i −0.433417 1.64785i
\(89\) −4.23039 + 1.37454i −0.448421 + 0.145701i −0.524517 0.851400i \(-0.675754\pi\)
0.0760967 + 0.997100i \(0.475754\pi\)
\(90\) −1.61268 + 5.20826i −0.169992 + 0.548999i
\(91\) −14.1250 + 7.19704i −1.48070 + 0.754455i
\(92\) −2.07178 + 2.13225i −0.215998 + 0.222302i
\(93\) 1.38384 1.38384i 0.143498 0.143498i
\(94\) 7.31453 8.68999i 0.754436 0.896304i
\(95\) 1.08963 15.1396i 0.111794 1.55329i
\(96\) 5.56456 + 3.14056i 0.567930 + 0.320532i
\(97\) 3.31506 2.40853i 0.336593 0.244549i −0.406630 0.913593i \(-0.633296\pi\)
0.743223 + 0.669044i \(0.233296\pi\)
\(98\) 19.3542 4.79401i 1.95507 0.484268i
\(99\) −6.88967 + 6.88967i −0.692438 + 0.692438i
\(100\) −9.99615 + 0.277622i −0.999615 + 0.0277622i
\(101\) 3.20647 + 3.20647i 0.319055 + 0.319055i 0.848404 0.529349i \(-0.177564\pi\)
−0.529349 + 0.848404i \(0.677564\pi\)
\(102\) −1.00116 + 1.66042i −0.0991292 + 0.164406i
\(103\) 0.801640 + 1.10336i 0.0789879 + 0.108718i 0.846683 0.532098i \(-0.178596\pi\)
−0.767695 + 0.640816i \(0.778596\pi\)
\(104\) −9.09701 3.54017i −0.892036 0.347142i
\(105\) 4.36792 10.7479i 0.426265 1.04889i
\(106\) −5.23214 + 0.449660i −0.508190 + 0.0436748i
\(107\) −10.4805 10.4805i −1.01319 1.01319i −0.999912 0.0132739i \(-0.995775\pi\)
−0.0132739 0.999912i \(-0.504225\pi\)
\(108\) −0.153492 10.6711i −0.0147698 1.02683i
\(109\) 3.88333 + 7.62146i 0.371955 + 0.730004i 0.998792 0.0491475i \(-0.0156504\pi\)
−0.626836 + 0.779151i \(0.715650\pi\)
\(110\) −16.0340 7.89127i −1.52878 0.752403i
\(111\) 1.58621 + 4.88187i 0.150557 + 0.463366i
\(112\) 15.1689 + 10.3677i 1.43333 + 0.979653i
\(113\) 4.24003 13.0495i 0.398868 1.22759i −0.527040 0.849840i \(-0.676698\pi\)
0.925908 0.377749i \(-0.123302\pi\)
\(114\) 2.60712 + 10.5254i 0.244179 + 0.985793i
\(115\) 0.282959 + 3.31185i 0.0263860 + 0.308832i
\(116\) −4.46645 13.1021i −0.414700 1.21650i
\(117\) 0.930853 + 5.87718i 0.0860574 + 0.543345i
\(118\) −14.4193 + 12.4957i −1.32740 + 1.15032i
\(119\) −3.27710 + 4.51054i −0.300411 + 0.413480i
\(120\) 6.72908 2.39870i 0.614278 0.218970i
\(121\) −12.3059 16.9376i −1.11871 1.53978i
\(122\) −2.37552 0.552275i −0.215070 0.0500007i
\(123\) −0.842869 + 1.65422i −0.0759989 + 0.149156i
\(124\) 3.42999 + 0.492798i 0.308022 + 0.0442546i
\(125\) −7.08894 + 8.64563i −0.634054 + 0.773289i
\(126\) 0.798428 11.1716i 0.0711296 0.995242i
\(127\) −0.845418 2.60193i −0.0750187 0.230884i 0.906515 0.422174i \(-0.138733\pi\)
−0.981534 + 0.191290i \(0.938733\pi\)
\(128\) 1.45408 + 11.2199i 0.128524 + 0.991706i
\(129\) 1.80620 1.31228i 0.159027 0.115540i
\(130\) −9.65453 + 5.08927i −0.846758 + 0.446359i
\(131\) 18.8979 2.99314i 1.65112 0.261512i 0.739685 0.672954i \(-0.234975\pi\)
0.911436 + 0.411442i \(0.134975\pi\)
\(132\) 12.6367 + 1.81556i 1.09988 + 0.158024i
\(133\) 4.87772 + 30.7967i 0.422952 + 2.67041i
\(134\) −2.39566 + 1.01256i −0.206954 + 0.0874719i
\(135\) −9.12472 7.68825i −0.785331 0.661699i
\(136\) −3.41589 + 0.343126i −0.292910 + 0.0294228i
\(137\) 7.85978 + 2.55380i 0.671507 + 0.218186i 0.624873 0.780726i \(-0.285151\pi\)
0.0466336 + 0.998912i \(0.485151\pi\)
\(138\) −0.924453 2.18720i −0.0786947 0.186187i
\(139\) −4.17867 + 8.20111i −0.354430 + 0.695609i −0.997535 0.0701693i \(-0.977646\pi\)
0.643105 + 0.765778i \(0.277646\pi\)
\(140\) 19.8691 5.21534i 1.67925 0.440776i
\(141\) 4.11868 + 8.08337i 0.346856 + 0.680743i
\(142\) 4.43240 + 3.73084i 0.371959 + 0.313085i
\(143\) −19.5036 −1.63097
\(144\) 5.46055 4.21250i 0.455046 0.351042i
\(145\) −14.3376 5.82673i −1.19067 0.483883i
\(146\) −10.2704 + 6.39573i −0.849981 + 0.529314i
\(147\) −2.49129 + 15.7294i −0.205478 + 1.29734i
\(148\) −5.23598 + 7.42911i −0.430395 + 0.610669i
\(149\) 2.65506 + 2.65506i 0.217511 + 0.217511i 0.807449 0.589938i \(-0.200848\pi\)
−0.589938 + 0.807449i \(0.700848\pi\)
\(150\) 2.90405 7.44038i 0.237115 0.607505i
\(151\) 2.12369i 0.172823i 0.996260 + 0.0864116i \(0.0275400\pi\)
−0.996260 + 0.0864116i \(0.972460\pi\)
\(152\) −12.1514 + 14.8653i −0.985612 + 1.20573i
\(153\) 1.23007 + 1.69305i 0.0994456 + 0.136875i
\(154\) 35.7566 + 8.31290i 2.88135 + 0.669873i
\(155\) 2.92908 2.53577i 0.235270 0.203678i
\(156\) 5.43318 5.59176i 0.435002 0.447699i
\(157\) 6.45088 6.45088i 0.514837 0.514837i −0.401168 0.916005i \(-0.631396\pi\)
0.916005 + 0.401168i \(0.131396\pi\)
\(158\) 10.2690 12.2000i 0.816954 0.970578i
\(159\) 1.29612 3.98905i 0.102789 0.316352i
\(160\) 10.5410 + 6.99189i 0.833342 + 0.552758i
\(161\) −2.10998 6.49386i −0.166290 0.511788i
\(162\) 1.12027 + 0.454621i 0.0880170 + 0.0357184i
\(163\) −6.65568 13.0625i −0.521313 1.02313i −0.990171 0.139861i \(-0.955335\pi\)
0.468858 0.883273i \(-0.344665\pi\)
\(164\) −3.23912 + 0.560895i −0.252933 + 0.0437986i
\(165\) 10.7913 9.34222i 0.840099 0.727291i
\(166\) 4.20518 1.77738i 0.326385 0.137951i
\(167\) 0.799638 1.10061i 0.0618779 0.0851676i −0.776957 0.629554i \(-0.783238\pi\)
0.838834 + 0.544387i \(0.183238\pi\)
\(168\) −12.3442 + 7.93580i −0.952373 + 0.612261i
\(169\) 0.640062 0.880970i 0.0492355 0.0677669i
\(170\) −2.21277 + 3.13627i −0.169712 + 0.240541i
\(171\) 11.5597 + 1.83087i 0.883991 + 0.140010i
\(172\) 3.77680 + 1.16737i 0.287978 + 0.0890115i
\(173\) −19.4122 9.89103i −1.47589 0.752001i −0.483520 0.875333i \(-0.660642\pi\)
−0.992365 + 0.123332i \(0.960642\pi\)
\(174\) 11.0279 + 0.788159i 0.836022 + 0.0597502i
\(175\) 10.1520 20.6013i 0.767416 1.55731i
\(176\) 10.8374 + 19.8375i 0.816900 + 1.49531i
\(177\) −4.70927 14.4936i −0.353970 1.08941i
\(178\) 5.33981 3.32530i 0.400236 0.249241i
\(179\) −1.18836 + 7.50302i −0.0888224 + 0.560802i 0.902639 + 0.430399i \(0.141627\pi\)
−0.991461 + 0.130403i \(0.958373\pi\)
\(180\) 0.442850 7.69788i 0.0330081 0.573766i
\(181\) −2.59339 16.3740i −0.192765 1.21707i −0.874337 0.485319i \(-0.838703\pi\)
0.681572 0.731751i \(-0.261297\pi\)
\(182\) 16.9426 14.6824i 1.25587 1.08833i
\(183\) 1.14497 1.57592i 0.0846387 0.116495i
\(184\) 2.11898 3.63145i 0.156213 0.267714i
\(185\) 2.43825 + 9.86478i 0.179264 + 0.725273i
\(186\) −1.42910 + 2.37017i −0.104787 + 0.173790i
\(187\) −6.11167 + 3.11405i −0.446930 + 0.227722i
\(188\) −7.08608 + 14.4161i −0.516806 + 1.05140i
\(189\) 21.8392 + 11.1276i 1.58857 + 0.809416i
\(190\) 3.65204 + 21.1531i 0.264947 + 1.53461i
\(191\) −5.14159 + 15.8242i −0.372033 + 1.14500i 0.573426 + 0.819257i \(0.305614\pi\)
−0.945459 + 0.325741i \(0.894386\pi\)
\(192\) −8.70649 2.41907i −0.628337 0.174581i
\(193\) 10.7726 0.775428 0.387714 0.921780i \(-0.373265\pi\)
0.387714 + 0.921780i \(0.373265\pi\)
\(194\) −3.73172 + 4.43345i −0.267922 + 0.318303i
\(195\) −0.742051 8.68524i −0.0531394 0.621963i
\(196\) −24.9380 + 13.1617i −1.78129 + 0.940124i
\(197\) 2.25683 + 0.357446i 0.160792 + 0.0254670i 0.236312 0.971677i \(-0.424061\pi\)
−0.0755192 + 0.997144i \(0.524061\pi\)
\(198\) 7.11501 11.8003i 0.505642 0.838611i
\(199\) 4.42641i 0.313780i 0.987616 + 0.156890i \(0.0501468\pi\)
−0.987616 + 0.156890i \(0.949853\pi\)
\(200\) 13.6276 3.78001i 0.963617 0.267287i
\(201\) 2.07732i 0.146523i
\(202\) −5.49188 3.31134i −0.386407 0.232985i
\(203\) 31.4004 + 4.97333i 2.20387 + 0.349059i
\(204\) 0.809735 2.61973i 0.0566928 0.183418i
\(205\) −1.89935 + 3.14652i −0.132656 + 0.219763i
\(206\) −1.47560 1.24204i −0.102810 0.0865372i
\(207\) −2.56294 −0.178137
\(208\) 13.6915 + 1.76651i 0.949333 + 0.122485i
\(209\) −11.8543 + 36.4837i −0.819977 + 2.52363i
\(210\) −2.34143 + 16.2392i −0.161574 + 1.12061i
\(211\) 0.183986 + 0.0937456i 0.0126661 + 0.00645372i 0.460312 0.887757i \(-0.347738\pi\)
−0.447646 + 0.894211i \(0.647738\pi\)
\(212\) 7.02941 2.39630i 0.482782 0.164579i
\(213\) −4.12299 + 2.10077i −0.282503 + 0.143942i
\(214\) 17.9504 + 10.8233i 1.22707 + 0.739863i
\(215\) 3.75287 2.33445i 0.255944 0.159208i
\(216\) 3.83911 + 14.5963i 0.261219 + 0.993155i
\(217\) −4.67790 + 6.43857i −0.317556 + 0.437079i
\(218\) −7.92222 9.14178i −0.536561 0.619160i
\(219\) −1.51171 9.54454i −0.102152 0.644960i
\(220\) 24.6935 + 5.38068i 1.66483 + 0.362765i
\(221\) −0.655310 + 4.13746i −0.0440809 + 0.278316i
\(222\) −3.83739 6.16213i −0.257549 0.413575i
\(223\) −1.19353 3.67330i −0.0799245 0.245982i 0.903108 0.429413i \(-0.141280\pi\)
−0.983033 + 0.183431i \(0.941280\pi\)
\(224\) −24.3481 9.07423i −1.62683 0.606297i
\(225\) −6.17680 6.01365i −0.411787 0.400910i
\(226\) −1.38330 + 19.3551i −0.0920158 + 1.28748i
\(227\) −17.7508 9.04448i −1.17816 0.600303i −0.248468 0.968640i \(-0.579927\pi\)
−0.929692 + 0.368337i \(0.879927\pi\)
\(228\) −7.15773 13.5620i −0.474032 0.898167i
\(229\) −27.7970 4.40261i −1.83688 0.290933i −0.860895 0.508782i \(-0.830096\pi\)
−0.975982 + 0.217849i \(0.930096\pi\)
\(230\) −1.51453 4.45006i −0.0998650 0.293428i
\(231\) −17.2342 + 23.7209i −1.13393 + 1.56072i
\(232\) 10.5862 + 16.4669i 0.695020 + 1.08110i
\(233\) 4.63428 6.37854i 0.303602 0.417872i −0.629771 0.776781i \(-0.716851\pi\)
0.933373 + 0.358909i \(0.116851\pi\)
\(234\) −3.27618 7.75126i −0.214171 0.506716i
\(235\) 6.98370 + 16.5461i 0.455566 + 1.07935i
\(236\) 15.5450 22.0561i 1.01189 1.43573i
\(237\) 5.78227 + 11.3483i 0.375599 + 0.737154i
\(238\) 2.96488 7.30603i 0.192185 0.473580i
\(239\) −7.20617 22.1783i −0.466128 1.43460i −0.857558 0.514387i \(-0.828019\pi\)
0.391430 0.920208i \(-0.371981\pi\)
\(240\) −8.42159 + 5.58080i −0.543611 + 0.360239i
\(241\) 3.87064 11.9126i 0.249330 0.767358i −0.745564 0.666434i \(-0.767820\pi\)
0.994894 0.100924i \(-0.0321800\pi\)
\(242\) 22.6518 + 19.0664i 1.45611 + 1.22564i
\(243\) 10.6368 10.6368i 0.682349 0.682349i
\(244\) 3.44874 0.0496064i 0.220783 0.00317572i
\(245\) −7.15443 + 30.7040i −0.457080 + 1.96161i
\(246\) 0.594558 2.55739i 0.0379076 0.163054i
\(247\) 13.7704 + 18.9533i 0.876189 + 1.20597i
\(248\) −4.87601 + 0.489796i −0.309627 + 0.0311021i
\(249\) 3.64638i 0.231080i
\(250\) 6.79148 14.2785i 0.429531 0.903052i
\(251\) 11.7462 + 11.7462i 0.741411 + 0.741411i 0.972850 0.231439i \(-0.0743432\pi\)
−0.231439 + 0.972850i \(0.574343\pi\)
\(252\) 2.70256 + 15.6070i 0.170245 + 0.983150i
\(253\) 1.31413 8.29707i 0.0826185 0.521633i
\(254\) 2.04524 + 3.28428i 0.128330 + 0.206074i
\(255\) −1.61926 2.60313i −0.101402 0.163014i
\(256\) −5.81106 14.9074i −0.363191 0.931715i
\(257\) −8.75293 −0.545993 −0.272996 0.962015i \(-0.588015\pi\)
−0.272996 + 0.962015i \(0.588015\pi\)
\(258\) −2.03322 + 2.41555i −0.126583 + 0.150386i
\(259\) −9.47671 18.5991i −0.588854 1.15569i
\(260\) 11.5226 10.2689i 0.714600 0.636853i
\(261\) 5.41755 10.6325i 0.335338 0.658138i
\(262\) −24.9240 + 10.5345i −1.53981 + 0.650823i
\(263\) 12.8025 + 4.15978i 0.789434 + 0.256503i 0.675863 0.737027i \(-0.263771\pi\)
0.113571 + 0.993530i \(0.463771\pi\)
\(264\) −17.9641 + 1.80450i −1.10561 + 0.111059i
\(265\) 3.12611 7.69227i 0.192035 0.472533i
\(266\) −17.1674 40.6170i −1.05260 2.49039i
\(267\) 0.785973 + 4.96244i 0.0481008 + 0.303696i
\(268\) 2.94430 2.20455i 0.179852 0.134664i
\(269\) −10.6056 + 1.67976i −0.646635 + 0.102417i −0.471133 0.882062i \(-0.656155\pi\)
−0.175502 + 0.984479i \(0.556155\pi\)
\(270\) 15.1399 + 7.45128i 0.921388 + 0.453470i
\(271\) −23.2370 + 16.8827i −1.41155 + 1.02555i −0.418454 + 0.908238i \(0.637428\pi\)
−0.993095 + 0.117313i \(0.962572\pi\)
\(272\) 4.57242 1.63250i 0.277244 0.0989847i
\(273\) 5.53338 + 17.0300i 0.334895 + 1.03070i
\(274\) −11.6577 0.833172i −0.704268 0.0503338i
\(275\) 22.6352 16.9129i 1.36496 1.01988i
\(276\) 2.01272 + 2.68810i 0.121152 + 0.161805i
\(277\) 5.68976 11.1668i 0.341865 0.670947i −0.654507 0.756056i \(-0.727124\pi\)
0.996372 + 0.0851087i \(0.0271237\pi\)
\(278\) 2.94763 12.6787i 0.176787 0.760420i
\(279\) 1.75587 + 2.41675i 0.105121 + 0.144687i
\(280\) −25.5016 + 13.9152i −1.52401 + 0.831592i
\(281\) −13.4969 + 18.5769i −0.805157 + 1.10820i 0.186895 + 0.982380i \(0.440158\pi\)
−0.992053 + 0.125824i \(0.959842\pi\)
\(282\) −8.40236 9.69583i −0.500353 0.577378i
\(283\) −4.39310 27.7370i −0.261143 1.64879i −0.674539 0.738240i \(-0.735657\pi\)
0.413396 0.910551i \(-0.364343\pi\)
\(284\) −7.35306 3.61431i −0.436324 0.214470i
\(285\) −16.6977 3.89079i −0.989088 0.230470i
\(286\) 26.7732 6.63167i 1.58313 0.392139i
\(287\) 2.33306 7.18043i 0.137716 0.423848i
\(288\) −6.06351 + 7.63933i −0.357295 + 0.450152i
\(289\) −4.79803 14.7668i −0.282237 0.868636i
\(290\) 21.6628 + 3.12342i 1.27208 + 0.183414i
\(291\) −2.10127 4.12397i −0.123178 0.241751i
\(292\) 11.9237 12.2718i 0.697783 0.718150i
\(293\) 16.6210 + 16.6210i 0.971009 + 0.971009i 0.999591 0.0285825i \(-0.00909933\pi\)
−0.0285825 + 0.999591i \(0.509099\pi\)
\(294\) −1.92848 22.4393i −0.112471 1.30869i
\(295\) −7.23885 29.2873i −0.421462 1.70517i
\(296\) 4.66152 11.9785i 0.270946 0.696236i
\(297\) 17.7249 + 24.3962i 1.02850 + 1.41561i
\(298\) −4.54745 2.74189i −0.263427 0.158834i
\(299\) −3.62765 3.62765i −0.209792 0.209792i
\(300\) −1.45658 + 11.2011i −0.0840958 + 0.646694i
\(301\) −6.41984 + 6.41984i −0.370033 + 0.370033i
\(302\) −0.722101 2.91525i −0.0415522 0.167754i
\(303\) 4.14381 3.01066i 0.238056 0.172958i
\(304\) 11.6261 24.5377i 0.666803 1.40734i
\(305\) 2.48473 2.94897i 0.142275 0.168858i
\(306\) −2.26423 1.90585i −0.129438 0.108950i
\(307\) 21.1597 21.1597i 1.20765 1.20765i 0.235860 0.971787i \(-0.424209\pi\)
0.971787 0.235860i \(-0.0757905\pi\)
\(308\) −51.9107 + 0.746680i −2.95789 + 0.0425460i
\(309\) 1.37259 0.699372i 0.0780842 0.0397859i
\(310\) −3.15862 + 4.47687i −0.179398 + 0.254269i
\(311\) 0.893948 0.290461i 0.0506911 0.0164705i −0.283562 0.958954i \(-0.591516\pi\)
0.334253 + 0.942483i \(0.391516\pi\)
\(312\) −5.55696 + 9.52337i −0.314601 + 0.539155i
\(313\) 1.52495 + 0.495486i 0.0861953 + 0.0280065i 0.351797 0.936076i \(-0.385571\pi\)
−0.265602 + 0.964083i \(0.585571\pi\)
\(314\) −6.66187 + 11.0488i −0.375951 + 0.623517i
\(315\) 15.1609 + 9.15161i 0.854217 + 0.515635i
\(316\) −9.94823 + 20.2389i −0.559632 + 1.13853i
\(317\) 29.0293 4.59779i 1.63045 0.258238i 0.726906 0.686737i \(-0.240958\pi\)
0.903542 + 0.428499i \(0.140958\pi\)
\(318\) −0.422857 + 5.91659i −0.0237126 + 0.331786i
\(319\) 31.6432 + 22.9901i 1.77168 + 1.28720i
\(320\) −16.8474 6.01379i −0.941797 0.336181i
\(321\) −13.5442 + 9.84046i −0.755965 + 0.549241i
\(322\) 5.10450 + 8.19687i 0.284462 + 0.456794i
\(323\) 7.34129 + 3.74057i 0.408480 + 0.208131i
\(324\) −1.69241 0.243154i −0.0940229 0.0135086i
\(325\) −0.230930 17.2547i −0.0128097 0.957116i
\(326\) 13.5780 + 15.6682i 0.752015 + 0.867781i
\(327\) 9.18892 2.98566i 0.508149 0.165107i
\(328\) 4.25572 1.87133i 0.234983 0.103327i
\(329\) −21.6851 29.8470i −1.19554 1.64552i
\(330\) −11.6369 + 16.4936i −0.640592 + 0.907943i
\(331\) −2.54199 16.0495i −0.139721 0.882161i −0.953589 0.301112i \(-0.902642\pi\)
0.813868 0.581050i \(-0.197358\pi\)
\(332\) −5.16823 + 3.86972i −0.283643 + 0.212378i
\(333\) −7.73878 + 1.22570i −0.424082 + 0.0671680i
\(334\) −0.723456 + 1.78273i −0.0395857 + 0.0975467i
\(335\) 0.295209 4.10171i 0.0161290 0.224100i
\(336\) 14.2468 15.0910i 0.777229 0.823281i
\(337\) −0.545359 + 1.67844i −0.0297076 + 0.0914305i −0.964811 0.262945i \(-0.915306\pi\)
0.935103 + 0.354375i \(0.115306\pi\)
\(338\) −0.579082 + 1.42697i −0.0314979 + 0.0776168i
\(339\) −13.8092 7.03613i −0.750012 0.382150i
\(340\) 1.97113 5.05764i 0.106900 0.274289i
\(341\) −8.72411 + 4.44515i −0.472437 + 0.240719i
\(342\) −16.4909 + 1.41726i −0.891723 + 0.0766364i
\(343\) 32.6088i 1.76071i
\(344\) −5.58145 0.318294i −0.300932 0.0171613i
\(345\) 3.74480 + 0.269522i 0.201613 + 0.0145106i
\(346\) 30.0109 + 6.97711i 1.61340 + 0.375092i
\(347\) −30.6126 4.84855i −1.64337 0.260284i −0.734881 0.678196i \(-0.762762\pi\)
−0.908487 + 0.417912i \(0.862762\pi\)
\(348\) −15.4063 + 2.66780i −0.825864 + 0.143009i
\(349\) −0.0652599 + 0.0652599i −0.00349328 + 0.00349328i −0.708851 0.705358i \(-0.750786\pi\)
0.705358 + 0.708851i \(0.250786\pi\)
\(350\) −6.93097 + 31.7319i −0.370476 + 1.69614i
\(351\) 18.4162 0.982982
\(352\) −21.6220 23.5466i −1.15246 1.25504i
\(353\) −22.5667 + 16.3957i −1.20111 + 0.872655i −0.994393 0.105746i \(-0.966277\pi\)
−0.206714 + 0.978401i \(0.566277\pi\)
\(354\) 11.3927 + 18.2946i 0.605515 + 0.972346i
\(355\) −8.43948 + 3.56209i −0.447921 + 0.189056i
\(356\) −6.19944 + 6.38038i −0.328570 + 0.338160i
\(357\) 4.45304 + 4.45304i 0.235680 + 0.235680i
\(358\) −0.919896 10.7037i −0.0486180 0.565707i
\(359\) −15.4610 5.02357i −0.815998 0.265134i −0.128862 0.991663i \(-0.541132\pi\)
−0.687136 + 0.726529i \(0.741132\pi\)
\(360\) 2.00954 + 10.7177i 0.105912 + 0.564871i
\(361\) 25.7539 8.36794i 1.35547 0.440418i
\(362\) 9.12754 + 21.5953i 0.479733 + 1.13502i
\(363\) −21.0705 + 10.7360i −1.10591 + 0.563492i
\(364\) −18.2653 + 25.9158i −0.957361 + 1.35836i
\(365\) −1.62852 19.0607i −0.0852404 0.997685i
\(366\) −1.03589 + 2.55262i −0.0541467 + 0.133428i
\(367\) −16.4040 11.9182i −0.856280 0.622124i 0.0705904 0.997505i \(-0.477512\pi\)
−0.926870 + 0.375382i \(0.877512\pi\)
\(368\) −1.67401 + 5.70549i −0.0872637 + 0.297419i
\(369\) −2.29268 1.66573i −0.119352 0.0867144i
\(370\) −6.70130 12.7126i −0.348384 0.660897i
\(371\) −2.66825 + 16.8467i −0.138529 + 0.874635i
\(372\) 1.15586 3.73953i 0.0599284 0.193886i
\(373\) 2.78691 5.46962i 0.144301 0.283206i −0.807532 0.589824i \(-0.799197\pi\)
0.951833 + 0.306617i \(0.0991972\pi\)
\(374\) 7.33082 6.35285i 0.379068 0.328498i
\(375\) 8.39274 + 9.43631i 0.433399 + 0.487289i
\(376\) 4.82547 22.1988i 0.248855 1.14482i
\(377\) 22.7177 7.38143i 1.17002 0.380163i
\(378\) −33.7629 7.84940i −1.73658 0.403730i
\(379\) −29.6467 4.69558i −1.52285 0.241196i −0.661786 0.749693i \(-0.730201\pi\)
−0.861063 + 0.508498i \(0.830201\pi\)
\(380\) −12.2058 27.7957i −0.626144 1.42589i
\(381\) −3.05218 + 0.483417i −0.156368 + 0.0247662i
\(382\) 1.67743 23.4706i 0.0858250 1.20086i
\(383\) −6.11802 4.44500i −0.312616 0.227129i 0.420402 0.907338i \(-0.361889\pi\)
−0.733018 + 0.680209i \(0.761889\pi\)
\(384\) 12.7742 + 0.360322i 0.651880 + 0.0183876i
\(385\) −37.4003 + 44.3882i −1.90610 + 2.26223i
\(386\) −14.7879 + 3.66292i −0.752682 + 0.186438i
\(387\) 1.54713 + 3.03642i 0.0786452 + 0.154350i
\(388\) 3.61517 7.35480i 0.183533 0.373383i
\(389\) −5.37155 + 10.5423i −0.272348 + 0.534514i −0.986154 0.165830i \(-0.946970\pi\)
0.713806 + 0.700343i \(0.246970\pi\)
\(390\) 3.97181 + 11.6702i 0.201120 + 0.590942i
\(391\) −1.71597 0.557553i −0.0867804 0.0281967i
\(392\) 29.7579 26.5470i 1.50300 1.34083i
\(393\) 21.6120i 1.09018i
\(394\) −3.21955 + 0.276695i −0.162199 + 0.0139397i
\(395\) 9.80450 + 23.2293i 0.493318 + 1.16879i
\(396\) −5.75462 + 18.6179i −0.289181 + 0.935583i
\(397\) 2.90851 18.3636i 0.145974 0.921642i −0.800610 0.599185i \(-0.795491\pi\)
0.946584 0.322457i \(-0.104509\pi\)
\(398\) −1.50508 6.07626i −0.0754427 0.304575i
\(399\) 35.2197 1.76319
\(400\) −17.4217 + 9.82262i −0.871086 + 0.491131i
\(401\) 24.5425 1.22559 0.612797 0.790241i \(-0.290044\pi\)
0.612797 + 0.790241i \(0.290044\pi\)
\(402\) 0.706334 + 2.85159i 0.0352287 + 0.142224i
\(403\) −0.935422 + 5.90602i −0.0465967 + 0.294200i
\(404\) 8.66479 + 2.67821i 0.431090 + 0.133246i
\(405\) −1.44526 + 1.25119i −0.0718153 + 0.0621720i
\(406\) −44.7952 + 3.84979i −2.22315 + 0.191062i
\(407\) 25.6814i 1.27298i
\(408\) −0.220781 + 3.87150i −0.0109303 + 0.191668i
\(409\) 9.63674 + 3.13117i 0.476506 + 0.154826i 0.537416 0.843317i \(-0.319400\pi\)
−0.0609103 + 0.998143i \(0.519400\pi\)
\(410\) 1.53740 4.96514i 0.0759269 0.245211i
\(411\) 4.23791 8.31737i 0.209041 0.410266i
\(412\) 2.44792 + 1.20325i 0.120601 + 0.0592799i
\(413\) 28.1351 + 55.2183i 1.38444 + 2.71711i
\(414\) 3.51822 0.871457i 0.172911 0.0428298i
\(415\) −0.518191 + 7.19987i −0.0254370 + 0.353428i
\(416\) −19.3953 + 2.23047i −0.950934 + 0.109358i
\(417\) 8.41105 + 6.11099i 0.411891 + 0.299256i
\(418\) 3.86743 54.1130i 0.189162 2.64675i
\(419\) −6.65591 + 1.05419i −0.325162 + 0.0515007i −0.316882 0.948465i \(-0.602636\pi\)
−0.00828067 + 0.999966i \(0.502636\pi\)
\(420\) −2.30755 23.0882i −0.112597 1.12659i
\(421\) 14.5503 + 2.30454i 0.709137 + 0.112316i 0.500575 0.865693i \(-0.333122\pi\)
0.208561 + 0.978009i \(0.433122\pi\)
\(422\) −0.284439 0.0661280i −0.0138463 0.00321906i
\(423\) −13.1701 + 4.27924i −0.640354 + 0.208064i
\(424\) −8.83468 + 5.67963i −0.429050 + 0.275827i
\(425\) −2.82733 5.37006i −0.137146 0.260486i
\(426\) 4.94544 4.28569i 0.239607 0.207643i
\(427\) −3.59628 + 7.05810i −0.174036 + 0.341565i
\(428\) −28.3212 8.75385i −1.36896 0.423133i
\(429\) −3.44626 + 21.7589i −0.166387 + 1.05053i
\(430\) −4.35791 + 4.48063i −0.210157 + 0.216075i
\(431\) 0.0294902 + 0.0214259i 0.00142049 + 0.00103205i 0.588495 0.808501i \(-0.299721\pi\)
−0.587075 + 0.809533i \(0.699721\pi\)
\(432\) −10.2331 18.7314i −0.492342 0.901216i
\(433\) 30.6121 + 22.2410i 1.47112 + 1.06883i 0.980287 + 0.197581i \(0.0633086\pi\)
0.490836 + 0.871252i \(0.336691\pi\)
\(434\) 4.23223 10.4290i 0.203153 0.500608i
\(435\) −9.03391 + 14.9659i −0.433143 + 0.717558i
\(436\) 13.9835 + 9.85546i 0.669687 + 0.471991i
\(437\) −8.99080 + 4.58104i −0.430088 + 0.219141i
\(438\) 5.32052 + 12.5881i 0.254224 + 0.601480i
\(439\) 18.1160 5.88624i 0.864629 0.280935i 0.157069 0.987588i \(-0.449796\pi\)
0.707561 + 0.706653i \(0.249796\pi\)
\(440\) −35.7270 + 1.01012i −1.70322 + 0.0481557i
\(441\) −23.1191 7.51185i −1.10091 0.357707i
\(442\) −0.507267 5.90243i −0.0241282 0.280750i
\(443\) 14.7856 + 14.7856i 0.702487 + 0.702487i 0.964944 0.262457i \(-0.0845327\pi\)
−0.262457 + 0.964944i \(0.584533\pi\)
\(444\) 7.36295 + 7.15414i 0.349430 + 0.339521i
\(445\) 0.846705 + 9.91015i 0.0401377 + 0.469786i
\(446\) 2.88739 + 4.63662i 0.136722 + 0.219550i
\(447\) 3.43121 2.49292i 0.162291 0.117911i
\(448\) 36.5088 + 4.17756i 1.72488 + 0.197371i
\(449\) 29.5798 1.39596 0.697978 0.716119i \(-0.254083\pi\)
0.697978 + 0.716119i \(0.254083\pi\)
\(450\) 10.5238 + 6.15486i 0.496099 + 0.290143i
\(451\) 6.56807 6.56807i 0.309278 0.309278i
\(452\) −4.68226 27.0396i −0.220235 1.27184i
\(453\) 2.36925 + 0.375253i 0.111317 + 0.0176309i
\(454\) 27.4423 + 6.37995i 1.28793 + 0.299426i
\(455\) 8.50564 + 34.4125i 0.398750 + 1.61328i
\(456\) 14.4370 + 16.1832i 0.676075 + 0.757848i
\(457\) 27.2348i 1.27399i 0.770867 + 0.636996i \(0.219823\pi\)
−0.770867 + 0.636996i \(0.780177\pi\)
\(458\) 39.6547 3.40801i 1.85294 0.159246i
\(459\) 5.77090 2.94042i 0.269363 0.137247i
\(460\) 3.59216 + 5.59375i 0.167485 + 0.260810i
\(461\) 31.6538 + 16.1284i 1.47427 + 0.751176i 0.992164 0.124940i \(-0.0398738\pi\)
0.482101 + 0.876116i \(0.339874\pi\)
\(462\) 15.5923 38.4223i 0.725419 1.78757i
\(463\) 6.40316 19.7069i 0.297580 0.915857i −0.684763 0.728766i \(-0.740094\pi\)
0.982343 0.187091i \(-0.0599059\pi\)
\(464\) −20.1311 19.0050i −0.934564 0.882286i
\(465\) −2.31141 3.71584i −0.107189 0.172318i
\(466\) −4.19277 + 10.3318i −0.194226 + 0.478610i
\(467\) −17.2677 + 2.73493i −0.799052 + 0.126557i −0.542591 0.839997i \(-0.682557\pi\)
−0.256461 + 0.966555i \(0.582557\pi\)
\(468\) 7.13291 + 9.52640i 0.329719 + 0.440358i
\(469\) 1.32150 + 8.34360i 0.0610210 + 0.385272i
\(470\) −15.2128 20.3387i −0.701713 0.938155i
\(471\) −6.05695 8.33667i −0.279089 0.384134i
\(472\) −13.8395 + 35.5626i −0.637013 + 1.63690i
\(473\) −10.6232 + 3.45167i −0.488453 + 0.158708i
\(474\) −11.7962 13.6121i −0.541816 0.625224i
\(475\) −32.4171 10.0554i −1.48740 0.461372i
\(476\) −1.58577 + 11.0373i −0.0726836 + 0.505895i
\(477\) 5.70449 + 2.90658i 0.261190 + 0.133083i
\(478\) 17.4332 + 27.9945i 0.797378 + 1.28044i
\(479\) 20.4306 14.8437i 0.933499 0.678227i −0.0133477 0.999911i \(-0.504249\pi\)
0.946847 + 0.321684i \(0.104249\pi\)
\(480\) 9.66296 10.5245i 0.441052 0.480373i
\(481\) −12.6885 9.21876i −0.578548 0.420339i
\(482\) −1.26279 + 17.6689i −0.0575184 + 0.804795i
\(483\) −7.61759 + 1.20651i −0.346612 + 0.0548980i
\(484\) −37.5777 18.4709i −1.70808 0.839587i
\(485\) −3.56294 8.44148i −0.161785 0.383308i
\(486\) −10.9847 + 18.2181i −0.498274 + 0.826392i
\(487\) 8.12154 + 2.63885i 0.368022 + 0.119578i 0.487189 0.873297i \(-0.338022\pi\)
−0.119167 + 0.992874i \(0.538022\pi\)
\(488\) −4.71731 + 1.24074i −0.213543 + 0.0561658i
\(489\) −15.7490 + 5.11716i −0.712194 + 0.231406i
\(490\) −0.618952 44.5809i −0.0279614 2.01396i
\(491\) 13.4454 6.85077i 0.606782 0.309171i −0.123471 0.992348i \(-0.539402\pi\)
0.730252 + 0.683177i \(0.239402\pi\)
\(492\) 0.0534042 + 3.71277i 0.00240765 + 0.167385i
\(493\) 5.94028 5.94028i 0.267537 0.267537i
\(494\) −25.3476 21.3355i −1.14044 0.959931i
\(495\) 11.5078 + 18.4999i 0.517235 + 0.831510i
\(496\) 6.52690 2.33031i 0.293067 0.104634i
\(497\) 15.2237 11.0607i 0.682876 0.496139i
\(498\) −1.23985 5.00549i −0.0555591 0.224302i
\(499\) −16.1116 + 16.1116i −0.721254 + 0.721254i −0.968861 0.247607i \(-0.920356\pi\)
0.247607 + 0.968861i \(0.420356\pi\)
\(500\) −4.46785 + 21.9098i −0.199808 + 0.979835i
\(501\) −1.08658 1.08658i −0.0485447 0.0485447i
\(502\) −20.1182 12.1303i −0.897921 0.541403i
\(503\) −0.330658 0.455111i −0.0147433 0.0202924i 0.801582 0.597885i \(-0.203992\pi\)
−0.816325 + 0.577593i \(0.803992\pi\)
\(504\) −9.01661 20.5053i −0.401632 0.913378i
\(505\) 8.60991 5.35573i 0.383136 0.238327i
\(506\) 1.01725 + 11.8365i 0.0452222 + 0.526195i
\(507\) −0.869740 0.869740i −0.0386265 0.0386265i
\(508\) −3.92429 3.81300i −0.174112 0.169175i
\(509\) −0.951371 1.86717i −0.0421688 0.0827609i 0.868961 0.494881i \(-0.164788\pi\)
−0.911129 + 0.412120i \(0.864788\pi\)
\(510\) 3.10793 + 3.02281i 0.137621 + 0.133852i
\(511\) 12.1436 + 37.3742i 0.537203 + 1.65334i
\(512\) 13.0459 + 18.4880i 0.576552 + 0.817061i
\(513\) 11.1933 34.4495i 0.494197 1.52098i
\(514\) 12.0154 2.97619i 0.529977 0.131274i
\(515\) 2.80961 1.18587i 0.123806 0.0522555i
\(516\) 1.96972 4.00724i 0.0867119 0.176409i
\(517\) −7.10041 44.8302i −0.312276 1.97163i
\(518\) 19.3331 + 22.3092i 0.849446 + 0.980211i
\(519\) −14.4649 + 19.9092i −0.634937 + 0.873916i
\(520\) −12.3257 + 18.0144i −0.540518 + 0.789984i
\(521\) 20.1684 + 27.7595i 0.883595 + 1.21616i 0.975412 + 0.220389i \(0.0707326\pi\)
−0.0918168 + 0.995776i \(0.529267\pi\)
\(522\) −3.82153 + 16.4377i −0.167264 + 0.719458i
\(523\) −0.280980 + 0.551454i −0.0122864 + 0.0241134i −0.897068 0.441892i \(-0.854307\pi\)
0.884782 + 0.466006i \(0.154307\pi\)
\(524\) 30.6320 22.9357i 1.33816 1.00195i
\(525\) −21.1897 14.9661i −0.924793 0.653173i
\(526\) −18.9887 1.35712i −0.827949 0.0591732i
\(527\) 0.649862 + 2.00007i 0.0283084 + 0.0871244i
\(528\) 24.0463 8.58528i 1.04648 0.373626i
\(529\) −16.8197 + 12.2202i −0.731292 + 0.531315i
\(530\) −1.67575 + 11.6224i −0.0727901 + 0.504843i
\(531\) 22.9754 3.63895i 0.997049 0.157917i
\(532\) 37.3768 + 49.9189i 1.62049 + 2.16426i
\(533\) −0.887401 5.60283i −0.0384376 0.242686i
\(534\) −2.76627 6.54484i −0.119708 0.283223i
\(535\) −28.1418 + 17.5054i −1.21668 + 0.756826i
\(536\) −3.29213 + 4.02737i −0.142198 + 0.173956i
\(537\) 8.16063 + 2.65155i 0.352157 + 0.114423i
\(538\) 13.9875 5.91200i 0.603042 0.254884i
\(539\) 36.1725 70.9924i 1.55806 3.05786i
\(540\) −23.3166 5.08067i −1.00339 0.218637i
\(541\) −14.6825 28.8160i −0.631250 1.23890i −0.956074 0.293124i \(-0.905305\pi\)
0.324824 0.945774i \(-0.394695\pi\)
\(542\) 26.1577 31.0765i 1.12357 1.33485i
\(543\) −18.7256 −0.803592
\(544\) −5.72161 + 3.79570i −0.245312 + 0.162739i
\(545\) 18.5680 4.58941i 0.795367 0.196589i
\(546\) −13.3864 21.4961i −0.572885 0.919947i
\(547\) −5.10217 + 32.2138i −0.218153 + 1.37736i 0.598911 + 0.800816i \(0.295600\pi\)
−0.817064 + 0.576547i \(0.804400\pi\)
\(548\) 16.2862 2.82016i 0.695710 0.120471i
\(549\) 2.10249 + 2.10249i 0.0897320 + 0.0897320i
\(550\) −25.3213 + 30.9133i −1.07970 + 1.31815i
\(551\) 46.9824i 2.00152i
\(552\) −3.67694 3.00567i −0.156501 0.127930i
\(553\) −30.4440 41.9025i −1.29461 1.78188i
\(554\) −4.01355 + 17.2636i −0.170519 + 0.733461i
\(555\) 11.4363 0.977096i 0.485444 0.0414754i
\(556\) 0.264761 + 18.4067i 0.0112284 + 0.780619i
\(557\) 21.3956 21.3956i 0.906563 0.906563i −0.0894305 0.995993i \(-0.528505\pi\)
0.995993 + 0.0894305i \(0.0285047\pi\)
\(558\) −3.23208 2.72050i −0.136825 0.115168i
\(559\) −2.10797 + 6.48767i −0.0891577 + 0.274399i
\(560\) 30.2753 27.7729i 1.27937 1.17362i
\(561\) 2.39421 + 7.36862i 0.101084 + 0.311103i
\(562\) 12.2110 30.0903i 0.515091 1.26928i
\(563\) −2.88692 5.66590i −0.121669 0.238789i 0.822136 0.569291i \(-0.192782\pi\)
−0.943805 + 0.330502i \(0.892782\pi\)
\(564\) 14.8310 + 10.4528i 0.624496 + 0.440141i
\(565\) −26.2666 15.8554i −1.10505 0.667043i
\(566\) 15.4617 + 36.5816i 0.649905 + 1.53764i
\(567\) 2.30815 3.17689i 0.0969331 0.133417i
\(568\) 11.3227 + 2.46127i 0.475090 + 0.103273i
\(569\) −17.9787 + 24.7455i −0.753705 + 1.03739i 0.244006 + 0.969774i \(0.421538\pi\)
−0.997712 + 0.0676129i \(0.978462\pi\)
\(570\) 24.2444 0.336604i 1.01549 0.0140988i
\(571\) 35.2853 + 5.58864i 1.47664 + 0.233877i 0.842231 0.539118i \(-0.181242\pi\)
0.634412 + 0.772995i \(0.281242\pi\)
\(572\) −34.4974 + 18.2070i −1.44241 + 0.761271i
\(573\) 16.7455 + 8.53224i 0.699551 + 0.356439i
\(574\) −0.761158 + 10.6501i −0.0317701 + 0.444526i
\(575\) 7.35590 + 1.06435i 0.306762 + 0.0443867i
\(576\) 5.72601 12.5485i 0.238584 0.522853i
\(577\) 0.0433591 + 0.133446i 0.00180506 + 0.00555542i 0.951955 0.306238i \(-0.0990703\pi\)
−0.950150 + 0.311793i \(0.899070\pi\)
\(578\) 11.6074 + 18.6394i 0.482806 + 0.775297i
\(579\) 1.90350 12.0182i 0.0791069 0.499461i
\(580\) −30.7992 + 3.07823i −1.27887 + 0.127816i
\(581\) −2.31967 14.6458i −0.0962360 0.607610i
\(582\) 4.28671 + 4.94661i 0.177690 + 0.205044i
\(583\) −12.3345 + 16.9770i −0.510842 + 0.703114i
\(584\) −12.1954 + 20.9001i −0.504648 + 0.864853i
\(585\) 13.2713 + 0.955162i 0.548699 + 0.0394911i
\(586\) −28.4676 17.1646i −1.17599 0.709064i
\(587\) −22.5501 + 11.4899i −0.930744 + 0.474238i −0.852518 0.522698i \(-0.824926\pi\)
−0.0782259 + 0.996936i \(0.524926\pi\)
\(588\) 10.2771 + 30.1473i 0.423822 + 1.24326i
\(589\) 10.4793 + 5.33948i 0.431793 + 0.220010i
\(590\) 19.8953 + 37.7421i 0.819077 + 1.55382i
\(591\) 0.797557 2.45463i 0.0328071 0.100970i
\(592\) −2.32605 + 18.0283i −0.0956002 + 0.740957i
\(593\) −2.87828 −0.118197 −0.0590985 0.998252i \(-0.518823\pi\)
−0.0590985 + 0.998252i \(0.518823\pi\)
\(594\) −32.6267 27.4625i −1.33869 1.12680i
\(595\) 8.15981 + 9.42546i 0.334519 + 0.386406i
\(596\) 7.17472 + 2.21764i 0.293888 + 0.0908382i
\(597\) 4.93824 + 0.782140i 0.202109 + 0.0320109i
\(598\) 6.21326 + 3.74630i 0.254079 + 0.153197i
\(599\) 36.3714i 1.48609i −0.669239 0.743047i \(-0.733380\pi\)
0.669239 0.743047i \(-0.266620\pi\)
\(600\) −1.80912 15.8713i −0.0738570 0.647943i
\(601\) 15.5801i 0.635527i 0.948170 + 0.317764i \(0.102932\pi\)
−0.948170 + 0.317764i \(0.897068\pi\)
\(602\) 6.62981 10.9956i 0.270211 0.448147i
\(603\) 3.13181 + 0.496030i 0.127537 + 0.0201999i
\(604\) 1.98250 + 3.75631i 0.0806667 + 0.152842i
\(605\) −43.1299 + 18.2040i −1.75348 + 0.740100i
\(606\) −4.66464 + 5.54181i −0.189488 + 0.225120i
\(607\) −1.33418 −0.0541526 −0.0270763 0.999633i \(-0.508620\pi\)
−0.0270763 + 0.999633i \(0.508620\pi\)
\(608\) −7.61612 + 37.6368i −0.308874 + 1.52637i
\(609\) 11.0968 34.1525i 0.449665 1.38393i
\(610\) −2.40814 + 4.89300i −0.0975027 + 0.198112i
\(611\) −24.6983 12.5844i −0.999186 0.509111i
\(612\) 3.75621 + 1.84632i 0.151836 + 0.0746332i
\(613\) −10.7554 + 5.48016i −0.434407 + 0.221341i −0.657498 0.753456i \(-0.728385\pi\)
0.223091 + 0.974798i \(0.428385\pi\)
\(614\) −21.8517 + 36.2413i −0.881865 + 1.46258i
\(615\) 3.17475 + 2.67496i 0.128018 + 0.107865i
\(616\) 71.0055 18.6758i 2.86089 0.752469i
\(617\) −25.9257 + 35.6836i −1.04373 + 1.43657i −0.149606 + 0.988746i \(0.547801\pi\)
−0.894122 + 0.447823i \(0.852199\pi\)
\(618\) −1.64640 + 1.42676i −0.0662279 + 0.0573927i
\(619\) −1.07437 6.78331i −0.0431826 0.272644i 0.956644 0.291259i \(-0.0940743\pi\)
−0.999827 + 0.0186151i \(0.994074\pi\)
\(620\) 2.81369 7.21953i 0.113001 0.289943i
\(621\) −1.24086 + 7.83446i −0.0497938 + 0.314386i
\(622\) −1.12838 + 0.702687i −0.0452441 + 0.0281752i
\(623\) −6.31377 19.4318i −0.252956 0.778518i
\(624\) 4.39004 14.9625i 0.175742 0.598979i
\(625\) 15.2306 + 19.8249i 0.609226 + 0.792997i
\(626\) −2.26182 0.161652i −0.0904005 0.00646089i
\(627\) 38.6077 + 19.6716i 1.54184 + 0.785609i
\(628\) 5.38812 17.4321i 0.215009 0.695618i
\(629\) −5.44801 0.862880i −0.217226 0.0344053i
\(630\) −23.9235 7.40765i −0.953135 0.295128i
\(631\) −4.46197 + 6.14137i −0.177628 + 0.244484i −0.888542 0.458795i \(-0.848281\pi\)
0.710914 + 0.703279i \(0.248281\pi\)
\(632\) 6.77453 31.1652i 0.269476 1.23969i
\(633\) 0.137096 0.188696i 0.00544906 0.00749999i
\(634\) −38.2860 + 16.1821i −1.52053 + 0.642674i
\(635\) −6.09529 + 0.520771i −0.241884 + 0.0206662i
\(636\) −1.43130 8.26566i −0.0567549 0.327755i
\(637\) −22.0909 43.3558i −0.875273 1.71782i
\(638\) −51.2547 20.7998i −2.02919 0.823473i
\(639\) −2.18266 6.71754i −0.0863448 0.265742i
\(640\) 25.1717 + 2.52681i 0.994999 + 0.0998811i
\(641\) 9.97655 30.7047i 0.394050 1.21276i −0.535649 0.844441i \(-0.679933\pi\)
0.929699 0.368320i \(-0.120067\pi\)
\(642\) 15.2466 18.1136i 0.601735 0.714888i
\(643\) −5.40446 + 5.40446i −0.213131 + 0.213131i −0.805596 0.592465i \(-0.798155\pi\)
0.592465 + 0.805596i \(0.298155\pi\)
\(644\) −9.79421 9.51644i −0.385946 0.375000i
\(645\) −1.94126 4.59932i −0.0764369 0.181098i
\(646\) −11.3495 2.63859i −0.446539 0.103814i
\(647\) −6.62453 9.11788i −0.260437 0.358461i 0.658695 0.752410i \(-0.271109\pi\)
−0.919132 + 0.393949i \(0.871109\pi\)
\(648\) 2.40590 0.241673i 0.0945128 0.00949381i
\(649\) 76.2448i 2.99287i
\(650\) 6.18397 + 23.6074i 0.242555 + 0.925960i
\(651\) 6.35650 + 6.35650i 0.249131 + 0.249131i
\(652\) −23.9664 16.8914i −0.938598 0.661517i
\(653\) 3.75554 23.7115i 0.146965 0.927903i −0.798456 0.602053i \(-0.794349\pi\)
0.945421 0.325850i \(-0.105651\pi\)
\(654\) −11.5987 + 7.22294i −0.453545 + 0.282439i
\(655\) 3.07130 42.6734i 0.120006 1.66739i
\(656\) −5.20565 + 4.01587i −0.203247 + 0.156793i
\(657\) 14.7505 0.575473
\(658\) 39.9164 + 33.5984i 1.55610 + 1.30980i
\(659\) 3.61490 + 7.09464i 0.140816 + 0.276368i 0.950634 0.310314i \(-0.100434\pi\)
−0.809818 + 0.586682i \(0.800434\pi\)
\(660\) 10.3662 26.5981i 0.403502 1.03533i
\(661\) 10.4069 20.4246i 0.404780 0.794425i −0.595178 0.803594i \(-0.702918\pi\)
0.999958 + 0.00916859i \(0.00291849\pi\)
\(662\) 8.94666 + 21.1673i 0.347722 + 0.822691i
\(663\) 4.50009 + 1.46217i 0.174769 + 0.0567859i
\(664\) 5.77879 7.06938i 0.224260 0.274345i
\(665\) 69.5421 + 5.00510i 2.69673 + 0.194089i
\(666\) 10.2065 4.31391i 0.395493 0.167161i
\(667\) 1.60946 + 10.1617i 0.0623186 + 0.393464i
\(668\) 0.386940 2.69320i 0.0149712 0.104203i
\(669\) −4.30894 + 0.682469i −0.166593 + 0.0263858i
\(670\) 0.989430 + 5.73091i 0.0382250 + 0.221404i
\(671\) −7.88447 + 5.72840i −0.304377 + 0.221143i
\(672\) −14.4258 + 25.5601i −0.556486 + 0.986002i
\(673\) −0.516000 1.58808i −0.0198903 0.0612161i 0.940619 0.339465i \(-0.110246\pi\)
−0.960509 + 0.278249i \(0.910246\pi\)
\(674\) 0.177922 2.48948i 0.00685331 0.0958911i
\(675\) −21.3732 + 15.9699i −0.822654 + 0.614680i
\(676\) 0.309722 2.15574i 0.0119124 0.0829131i
\(677\) −3.41369 + 6.69974i −0.131199 + 0.257492i −0.947255 0.320480i \(-0.896156\pi\)
0.816056 + 0.577972i \(0.196156\pi\)
\(678\) 21.3487 + 4.96327i 0.819892 + 0.190613i
\(679\) 11.0633 + 15.2273i 0.424570 + 0.584370i
\(680\) −0.986120 + 7.61300i −0.0378160 + 0.291945i
\(681\) −13.2268 + 18.2052i −0.506854 + 0.697624i
\(682\) 10.4644 9.06838i 0.400702 0.347246i
\(683\) −1.91119 12.0668i −0.0731297 0.461723i −0.996894 0.0787601i \(-0.974904\pi\)
0.923764 0.382962i \(-0.125096\pi\)
\(684\) 22.1556 7.55276i 0.847139 0.288787i
\(685\) 9.54985 15.8206i 0.364881 0.604474i
\(686\) 11.0877 + 44.7630i 0.423331 + 1.70906i
\(687\) −9.82339 + 30.2333i −0.374786 + 1.15347i
\(688\) 7.77005 1.46089i 0.296230 0.0556958i
\(689\) 3.96022 + 12.1883i 0.150872 + 0.464338i
\(690\) −5.23224 + 0.903335i −0.199188 + 0.0343894i
\(691\) −14.5509 28.5578i −0.553543 1.08639i −0.983052 0.183327i \(-0.941313\pi\)
0.429509 0.903063i \(-0.358687\pi\)
\(692\) −43.5692 + 0.626697i −1.65625 + 0.0238234i
\(693\) −31.6469 31.6469i −1.20216 1.20216i
\(694\) 43.6714 3.75320i 1.65774 0.142470i
\(695\) 15.7394 + 13.2616i 0.597029 + 0.503041i
\(696\) 20.2416 8.90064i 0.767254 0.337378i
\(697\) −1.17265 1.61402i −0.0444175 0.0611354i
\(698\) 0.0673944 0.111774i 0.00255092 0.00423071i
\(699\) −6.29723 6.29723i −0.238183 0.238183i
\(700\) −1.27522 45.9160i −0.0481988 1.73546i
\(701\) −21.8069 + 21.8069i −0.823635 + 0.823635i −0.986627 0.162992i \(-0.947886\pi\)
0.162992 + 0.986627i \(0.447886\pi\)
\(702\) −25.2804 + 6.26191i −0.954147 + 0.236340i
\(703\) −24.9568 + 18.1322i −0.941264 + 0.683868i
\(704\) 37.6875 + 24.9711i 1.42040 + 0.941133i
\(705\) 19.6934 4.86756i 0.741695 0.183323i
\(706\) 25.4031 30.1800i 0.956059 1.13584i
\(707\) −14.7285 + 14.7285i −0.553923 + 0.553923i
\(708\) −21.8597 21.2397i −0.821536 0.798238i
\(709\) 28.6612 14.6036i 1.07639 0.548450i 0.176385 0.984321i \(-0.443560\pi\)
0.900009 + 0.435871i \(0.143560\pi\)
\(710\) 10.3739 7.75940i 0.389327 0.291205i
\(711\) −18.4897 + 6.00767i −0.693419 + 0.225305i
\(712\) 6.34067 10.8665i 0.237627 0.407239i
\(713\) −2.44947 0.795880i −0.0917332 0.0298059i
\(714\) −7.62695 4.59869i −0.285431 0.172101i
\(715\) −9.89690 + 42.4736i −0.370123 + 1.58842i
\(716\) 4.90226 + 14.3805i 0.183206 + 0.537424i
\(717\) −26.0161 + 4.12055i −0.971590 + 0.153885i
\(718\) 22.9318 + 1.63893i 0.855808 + 0.0611643i
\(719\) 16.4640 + 11.9618i 0.614002 + 0.446098i 0.850821 0.525455i \(-0.176105\pi\)
−0.236819 + 0.971554i \(0.576105\pi\)
\(720\) −6.40280 14.0292i −0.238618 0.522837i
\(721\) −5.06816 + 3.68223i −0.188748 + 0.137134i
\(722\) −32.5078 + 20.2438i −1.20981 + 0.753396i
\(723\) −12.6061 6.42314i −0.468827 0.238879i
\(724\) −19.8725 26.5409i −0.738556 0.986384i
\(725\) −19.9645 + 28.2666i −0.741462 + 1.04980i
\(726\) 25.2736 21.9020i 0.937992 0.812859i
\(727\) −25.0902 + 8.15231i −0.930545 + 0.302352i −0.734786 0.678299i \(-0.762717\pi\)
−0.195760 + 0.980652i \(0.562717\pi\)
\(728\) 16.2613 41.7860i 0.602685 1.54869i
\(729\) −11.4947 15.8211i −0.425729 0.585966i
\(730\) 8.71659 + 25.6115i 0.322615 + 0.947924i
\(731\) 0.375300 + 2.36955i 0.0138810 + 0.0876410i
\(732\) 0.554045 3.85628i 0.0204781 0.142532i
\(733\) −42.2947 + 6.69882i −1.56219 + 0.247426i −0.876838 0.480786i \(-0.840351\pi\)
−0.685351 + 0.728213i \(0.740351\pi\)
\(734\) 26.5706 + 10.7827i 0.980740 + 0.397997i
\(735\) 32.9902 + 13.4071i 1.21686 + 0.494527i
\(736\) 0.357964 8.40129i 0.0131947 0.309676i
\(737\) −3.21162 + 9.88435i −0.118302 + 0.364095i
\(738\) 3.71361 + 1.50703i 0.136700 + 0.0554747i
\(739\) 10.3700 + 5.28378i 0.381467 + 0.194367i 0.634200 0.773169i \(-0.281330\pi\)
−0.252733 + 0.967536i \(0.581330\pi\)
\(740\) 13.5216 + 15.1724i 0.497065 + 0.557748i
\(741\) 23.5781 12.0137i 0.866164 0.441333i
\(742\) −2.06546 24.0332i −0.0758253 0.882285i
\(743\) 20.7713i 0.762025i −0.924570 0.381013i \(-0.875575\pi\)
0.924570 0.381013i \(-0.124425\pi\)
\(744\) −0.315154 + 5.52638i −0.0115541 + 0.202607i
\(745\) 7.12927 4.43472i 0.261196 0.162475i
\(746\) −1.96588 + 8.45592i −0.0719760 + 0.309593i
\(747\) −5.49737 0.870698i −0.201138 0.0318572i
\(748\) −7.90312 + 11.2134i −0.288967 + 0.410002i
\(749\) 48.1408 48.1408i 1.75902 1.75902i
\(750\) −14.7295 10.0998i −0.537846 0.368792i
\(751\) −28.6410 −1.04513 −0.522563 0.852601i \(-0.675024\pi\)
−0.522563 + 0.852601i \(0.675024\pi\)
\(752\) 0.924035 + 32.1138i 0.0336961 + 1.17107i
\(753\) 15.1799 11.0289i 0.553187 0.401914i
\(754\) −28.6754 + 17.8572i −1.04430 + 0.650322i
\(755\) 4.62482 + 1.07764i 0.168314 + 0.0392194i
\(756\) 49.0163 0.705047i 1.78271 0.0256423i
\(757\) −19.4633 19.4633i −0.707404 0.707404i 0.258584 0.965989i \(-0.416744\pi\)
−0.965989 + 0.258584i \(0.916744\pi\)
\(758\) 42.2935 3.63478i 1.53617 0.132021i
\(759\) −9.02427 2.93216i −0.327560 0.106431i
\(760\) 26.2064 + 34.0058i 0.950607 + 1.23352i
\(761\) −42.6758 + 13.8662i −1.54699 + 0.502649i −0.953296 0.302038i \(-0.902333\pi\)
−0.593699 + 0.804687i \(0.702333\pi\)
\(762\) 4.02544 1.70141i 0.145826 0.0616355i
\(763\) −35.0082 + 17.8376i −1.26738 + 0.645764i
\(764\) 5.67786 + 32.7891i 0.205418 + 1.18627i
\(765\) 4.31120 1.81965i 0.155872 0.0657895i
\(766\) 9.90978 + 4.02152i 0.358055 + 0.145303i
\(767\) 37.6706 + 27.3693i 1.36021 + 0.988249i
\(768\) −17.6580 + 3.84888i −0.637178 + 0.138885i
\(769\) 15.4030 + 11.1909i 0.555446 + 0.403555i 0.829789 0.558077i \(-0.188461\pi\)
−0.274344 + 0.961632i \(0.588461\pi\)
\(770\) 36.2476 73.6499i 1.30627 2.65416i
\(771\) −1.54663 + 9.76505i −0.0557006 + 0.351680i
\(772\) 19.0542 10.0564i 0.685777 0.361938i
\(773\) −3.01940 + 5.92590i