Properties

Label 552.2.bb.a.13.7
Level $552$
Weight $2$
Character 552.13
Analytic conductor $4.408$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 13.7
Character \(\chi\) \(=\) 552.13
Dual form 552.2.bb.a.85.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.30419 - 0.546886i) q^{2} +(-0.540641 + 0.841254i) q^{3} +(1.40183 + 1.42649i) q^{4} +(-0.190010 - 0.0867748i) q^{5} +(1.16517 - 0.801487i) q^{6} +(2.41838 + 0.710100i) q^{7} +(-1.04813 - 2.62706i) q^{8} +(-0.415415 - 0.909632i) q^{9} +O(q^{10})\) \(q+(-1.30419 - 0.546886i) q^{2} +(-0.540641 + 0.841254i) q^{3} +(1.40183 + 1.42649i) q^{4} +(-0.190010 - 0.0867748i) q^{5} +(1.16517 - 0.801487i) q^{6} +(2.41838 + 0.710100i) q^{7} +(-1.04813 - 2.62706i) q^{8} +(-0.415415 - 0.909632i) q^{9} +(0.200354 + 0.217085i) q^{10} +(-4.36540 - 3.78264i) q^{11} +(-1.95793 + 0.408077i) q^{12} +(-1.69874 - 5.78537i) q^{13} +(-2.76568 - 2.24868i) q^{14} +(0.175727 - 0.112933i) q^{15} +(-0.0697411 + 3.99939i) q^{16} +(0.569168 + 3.95865i) q^{17} +(0.0443154 + 1.41352i) q^{18} +(6.83272 + 0.982398i) q^{19} +(-0.142579 - 0.392691i) q^{20} +(-1.90485 + 1.65056i) q^{21} +(3.62464 + 7.32066i) q^{22} +(3.93147 - 2.74655i) q^{23} +(2.77668 + 0.538552i) q^{24} +(-3.24573 - 3.74577i) q^{25} +(-0.948460 + 8.47425i) q^{26} +(0.989821 + 0.142315i) q^{27} +(2.37721 + 4.44523i) q^{28} +(-0.673989 + 0.0969050i) q^{29} +(-0.290943 + 0.0511834i) q^{30} +(0.246501 - 0.158417i) q^{31} +(2.27817 - 5.17783i) q^{32} +(5.54227 - 1.62736i) q^{33} +(1.42263 - 5.47411i) q^{34} +(-0.397898 - 0.344780i) q^{35} +(0.715238 - 1.86774i) q^{36} +(-1.94862 + 0.889905i) q^{37} +(-8.37392 - 5.01796i) q^{38} +(5.78537 + 1.69874i) q^{39} +(-0.0288071 + 0.590119i) q^{40} +(4.71909 - 10.3334i) q^{41} +(3.38695 - 1.11091i) q^{42} +(3.10617 - 4.83330i) q^{43} +(-0.723657 - 11.5298i) q^{44} +0.208887i q^{45} +(-6.62944 + 1.43196i) q^{46} +3.14610 q^{47} +(-3.32680 - 2.22090i) q^{48} +(-0.544467 - 0.349908i) q^{49} +(2.18454 + 6.66025i) q^{50} +(-3.63794 - 1.66139i) q^{51} +(5.87142 - 10.5333i) q^{52} +(-0.724646 + 2.46792i) q^{53} +(-1.21309 - 0.726926i) q^{54} +(0.501233 + 1.09755i) q^{55} +(-0.669298 - 7.09749i) q^{56} +(-4.52050 + 5.21693i) q^{57} +(0.932007 + 0.242213i) q^{58} +(-2.17725 - 7.41504i) q^{59} +(0.407437 + 0.0923597i) q^{60} +(6.75974 + 10.5184i) q^{61} +(-0.408120 + 0.0717975i) q^{62} +(-0.358701 - 2.49482i) q^{63} +(-5.80285 + 5.50699i) q^{64} +(-0.179247 + 1.24669i) q^{65} +(-8.11816 - 0.908606i) q^{66} +(2.83098 - 2.45306i) q^{67} +(-4.84909 + 6.36127i) q^{68} +(0.185034 + 4.79226i) q^{69} +(0.330379 + 0.667264i) q^{70} +(7.73672 + 8.92865i) q^{71} +(-1.95425 + 2.04473i) q^{72} +(1.62593 - 11.3086i) q^{73} +(3.02805 - 0.0949329i) q^{74} +(4.90592 - 0.705364i) q^{75} +(8.17694 + 11.1240i) q^{76} +(-7.87113 - 12.2477i) q^{77} +(-6.61621 - 5.37942i) q^{78} +(-2.27930 + 0.669262i) q^{79} +(0.360298 - 0.753874i) q^{80} +(-0.654861 + 0.755750i) q^{81} +(-11.8058 + 10.8959i) q^{82} +(13.0165 - 5.94443i) q^{83} +(-5.02478 - 0.403438i) q^{84} +(0.235363 - 0.801573i) q^{85} +(-6.69431 + 4.60482i) q^{86} +(0.282864 - 0.619387i) q^{87} +(-5.36171 + 15.4328i) q^{88} +(-14.0921 - 9.05642i) q^{89} +(0.114237 - 0.272429i) q^{90} -15.1975i q^{91} +(9.42918 + 1.75800i) q^{92} +0.293016i q^{93} +(-4.10311 - 1.72056i) q^{94} +(-1.21304 - 0.779574i) q^{95} +(3.12420 + 4.71586i) q^{96} +(-2.56200 + 5.60999i) q^{97} +(0.518729 + 0.754108i) q^{98} +(-1.62736 + 5.54227i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} + O(q^{10}) \) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} - 4q^{10} - 4q^{14} - 8q^{15} - 8q^{16} - 4q^{18} + 20q^{20} + 20q^{22} - 8q^{23} - 4q^{24} + 48q^{25} + 16q^{30} + 16q^{31} + 4q^{32} + 6q^{34} - 22q^{36} + 90q^{38} - 74q^{40} + 90q^{42} - 130q^{44} + 96q^{46} - 88q^{48} - 48q^{49} + 142q^{50} - 142q^{52} + 18q^{54} - 82q^{56} + 22q^{58} + 2q^{60} - 40q^{62} - 8q^{63} + 16q^{66} - 44q^{68} + 16q^{71} - 4q^{72} + 10q^{74} - 138q^{76} - 40q^{79} - 170q^{80} - 48q^{81} - 124q^{82} - 8q^{84} - 216q^{86} - 108q^{88} + 4q^{90} - 198q^{92} - 238q^{94} + 80q^{95} + 4q^{96} - 132q^{98} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.30419 0.546886i −0.922203 0.386707i
\(3\) −0.540641 + 0.841254i −0.312139 + 0.485698i
\(4\) 1.40183 + 1.42649i 0.700915 + 0.713244i
\(5\) −0.190010 0.0867748i −0.0849752 0.0388069i 0.372474 0.928043i \(-0.378510\pi\)
−0.457449 + 0.889236i \(0.651237\pi\)
\(6\) 1.16517 0.801487i 0.475678 0.327206i
\(7\) 2.41838 + 0.710100i 0.914061 + 0.268392i 0.704749 0.709457i \(-0.251060\pi\)
0.209312 + 0.977849i \(0.432878\pi\)
\(8\) −1.04813 2.62706i −0.370569 0.928805i
\(9\) −0.415415 0.909632i −0.138472 0.303211i
\(10\) 0.200354 + 0.217085i 0.0633574 + 0.0686483i
\(11\) −4.36540 3.78264i −1.31622 1.14051i −0.980060 0.198703i \(-0.936327\pi\)
−0.336157 0.941806i \(-0.609127\pi\)
\(12\) −1.95793 + 0.408077i −0.565204 + 0.117802i
\(13\) −1.69874 5.78537i −0.471145 1.60457i −0.761845 0.647759i \(-0.775706\pi\)
0.290700 0.956814i \(-0.406112\pi\)
\(14\) −2.76568 2.24868i −0.739160 0.600986i
\(15\) 0.175727 0.112933i 0.0453725 0.0291591i
\(16\) −0.0697411 + 3.99939i −0.0174353 + 0.999848i
\(17\) 0.569168 + 3.95865i 0.138043 + 0.960114i 0.934638 + 0.355600i \(0.115723\pi\)
−0.796595 + 0.604514i \(0.793367\pi\)
\(18\) 0.0443154 + 1.41352i 0.0104452 + 0.333170i
\(19\) 6.83272 + 0.982398i 1.56753 + 0.225377i 0.870685 0.491840i \(-0.163676\pi\)
0.696849 + 0.717218i \(0.254585\pi\)
\(20\) −0.142579 0.392691i −0.0318816 0.0878084i
\(21\) −1.90485 + 1.65056i −0.415672 + 0.360182i
\(22\) 3.62464 + 7.32066i 0.772776 + 1.56077i
\(23\) 3.93147 2.74655i 0.819768 0.572696i
\(24\) 2.77668 + 0.538552i 0.566788 + 0.109932i
\(25\) −3.24573 3.74577i −0.649146 0.749154i
\(26\) −0.948460 + 8.47425i −0.186008 + 1.66194i
\(27\) 0.989821 + 0.142315i 0.190491 + 0.0273885i
\(28\) 2.37721 + 4.44523i 0.449250 + 0.840069i
\(29\) −0.673989 + 0.0969050i −0.125157 + 0.0179948i −0.204608 0.978844i \(-0.565592\pi\)
0.0794518 + 0.996839i \(0.474683\pi\)
\(30\) −0.290943 + 0.0511834i −0.0531187 + 0.00934476i
\(31\) 0.246501 0.158417i 0.0442729 0.0284525i −0.518317 0.855188i \(-0.673441\pi\)
0.562590 + 0.826736i \(0.309805\pi\)
\(32\) 2.27817 5.17783i 0.402727 0.915320i
\(33\) 5.54227 1.62736i 0.964786 0.283287i
\(34\) 1.42263 5.47411i 0.243979 0.938802i
\(35\) −0.397898 0.344780i −0.0672570 0.0582785i
\(36\) 0.715238 1.86774i 0.119206 0.311289i
\(37\) −1.94862 + 0.889905i −0.320351 + 0.146300i −0.569100 0.822269i \(-0.692708\pi\)
0.248748 + 0.968568i \(0.419981\pi\)
\(38\) −8.37392 5.01796i −1.35843 0.814020i
\(39\) 5.78537 + 1.69874i 0.926401 + 0.272016i
\(40\) −0.0288071 + 0.590119i −0.00455480 + 0.0933060i
\(41\) 4.71909 10.3334i 0.736997 1.61380i −0.0514343 0.998676i \(-0.516379\pi\)
0.788432 0.615123i \(-0.210893\pi\)
\(42\) 3.38695 1.11091i 0.522618 0.171417i
\(43\) 3.10617 4.83330i 0.473687 0.737071i −0.519390 0.854537i \(-0.673841\pi\)
0.993077 + 0.117466i \(0.0374771\pi\)
\(44\) −0.723657 11.5298i −0.109095 1.73818i
\(45\) 0.208887i 0.0311390i
\(46\) −6.62944 + 1.43196i −0.977458 + 0.211131i
\(47\) 3.14610 0.458905 0.229453 0.973320i \(-0.426306\pi\)
0.229453 + 0.973320i \(0.426306\pi\)
\(48\) −3.32680 2.22090i −0.480182 0.320560i
\(49\) −0.544467 0.349908i −0.0777810 0.0499868i
\(50\) 2.18454 + 6.66025i 0.308941 + 0.941901i
\(51\) −3.63794 1.66139i −0.509414 0.232642i
\(52\) 5.87142 10.5333i 0.814220 1.46071i
\(53\) −0.724646 + 2.46792i −0.0995378 + 0.338995i −0.994172 0.107804i \(-0.965618\pi\)
0.894634 + 0.446799i \(0.147436\pi\)
\(54\) −1.21309 0.726926i −0.165080 0.0989220i
\(55\) 0.501233 + 1.09755i 0.0675862 + 0.147993i
\(56\) −0.669298 7.09749i −0.0894387 0.948442i
\(57\) −4.52050 + 5.21693i −0.598754 + 0.690999i
\(58\) 0.932007 + 0.242213i 0.122379 + 0.0318041i
\(59\) −2.17725 7.41504i −0.283454 0.965356i −0.970973 0.239189i \(-0.923118\pi\)
0.687519 0.726167i \(-0.258700\pi\)
\(60\) 0.407437 + 0.0923597i 0.0525998 + 0.0119236i
\(61\) 6.75974 + 10.5184i 0.865496 + 1.34674i 0.937012 + 0.349298i \(0.113580\pi\)
−0.0715158 + 0.997439i \(0.522784\pi\)
\(62\) −0.408120 + 0.0717975i −0.0518313 + 0.00911830i
\(63\) −0.358701 2.49482i −0.0451921 0.314318i
\(64\) −5.80285 + 5.50699i −0.725357 + 0.688373i
\(65\) −0.179247 + 1.24669i −0.0222328 + 0.154632i
\(66\) −8.11816 0.908606i −0.999277 0.111842i
\(67\) 2.83098 2.45306i 0.345859 0.299689i −0.464557 0.885543i \(-0.653786\pi\)
0.810416 + 0.585854i \(0.199241\pi\)
\(68\) −4.84909 + 6.36127i −0.588039 + 0.771417i
\(69\) 0.185034 + 4.79226i 0.0222754 + 0.576920i
\(70\) 0.330379 + 0.667264i 0.0394879 + 0.0797533i
\(71\) 7.73672 + 8.92865i 0.918180 + 1.05964i 0.998024 + 0.0628285i \(0.0200121\pi\)
−0.0798447 + 0.996807i \(0.525442\pi\)
\(72\) −1.95425 + 2.04473i −0.230310 + 0.240974i
\(73\) 1.62593 11.3086i 0.190300 1.32357i −0.640912 0.767614i \(-0.721444\pi\)
0.831213 0.555954i \(-0.187647\pi\)
\(74\) 3.02805 0.0949329i 0.352004 0.0110357i
\(75\) 4.90592 0.705364i 0.566487 0.0814485i
\(76\) 8.17694 + 11.1240i 0.937960 + 1.27601i
\(77\) −7.87113 12.2477i −0.896999 1.39576i
\(78\) −6.61621 5.37942i −0.749139 0.609099i
\(79\) −2.27930 + 0.669262i −0.256441 + 0.0752978i −0.407426 0.913238i \(-0.633574\pi\)
0.150985 + 0.988536i \(0.451755\pi\)
\(80\) 0.360298 0.753874i 0.0402825 0.0842856i
\(81\) −0.654861 + 0.755750i −0.0727623 + 0.0839722i
\(82\) −11.8058 + 10.8959i −1.30373 + 1.20325i
\(83\) 13.0165 5.94443i 1.42874 0.652486i 0.457204 0.889362i \(-0.348851\pi\)
0.971540 + 0.236876i \(0.0761235\pi\)
\(84\) −5.02478 0.403438i −0.548248 0.0440187i
\(85\) 0.235363 0.801573i 0.0255287 0.0869428i
\(86\) −6.69431 + 4.60482i −0.721866 + 0.496551i
\(87\) 0.282864 0.619387i 0.0303263 0.0664052i
\(88\) −5.36171 + 15.4328i −0.571560 + 1.64515i
\(89\) −14.0921 9.05642i −1.49376 0.959979i −0.995681 0.0928449i \(-0.970404\pi\)
−0.498075 0.867134i \(-0.665960\pi\)
\(90\) 0.114237 0.272429i 0.0120417 0.0287165i
\(91\) 15.1975i 1.59313i
\(92\) 9.42918 + 1.75800i 0.983060 + 0.183284i
\(93\) 0.293016i 0.0303844i
\(94\) −4.10311 1.72056i −0.423204 0.177462i
\(95\) −1.21304 0.779574i −0.124455 0.0799826i
\(96\) 3.12420 + 4.71586i 0.318862 + 0.481311i
\(97\) −2.56200 + 5.60999i −0.260131 + 0.569608i −0.993962 0.109724i \(-0.965003\pi\)
0.733831 + 0.679332i \(0.237731\pi\)
\(98\) 0.518729 + 0.754108i 0.0523996 + 0.0761764i
\(99\) −1.62736 + 5.54227i −0.163556 + 0.557019i
\(100\) 0.793338 9.88094i 0.0793338 0.988094i
\(101\) −11.3221 + 5.17063i −1.12659 + 0.514497i −0.889475 0.456984i \(-0.848930\pi\)
−0.237117 + 0.971481i \(0.576202\pi\)
\(102\) 3.83598 + 4.15632i 0.379819 + 0.411537i
\(103\) 7.58841 8.75749i 0.747708 0.862901i −0.246636 0.969108i \(-0.579325\pi\)
0.994344 + 0.106207i \(0.0338706\pi\)
\(104\) −13.4180 + 10.5265i −1.31574 + 1.03221i
\(105\) 0.505167 0.148331i 0.0492993 0.0144756i
\(106\) 2.29475 2.82234i 0.222886 0.274130i
\(107\) 2.68053 + 4.17098i 0.259137 + 0.403224i 0.946306 0.323273i \(-0.104783\pi\)
−0.687169 + 0.726497i \(0.741147\pi\)
\(108\) 1.18455 + 1.61147i 0.113984 + 0.155064i
\(109\) −9.47882 + 1.36285i −0.907906 + 0.130537i −0.580419 0.814318i \(-0.697111\pi\)
−0.327488 + 0.944855i \(0.606202\pi\)
\(110\) −0.0534703 1.70553i −0.00509819 0.162616i
\(111\) 0.304868 2.12040i 0.0289368 0.201260i
\(112\) −3.00863 + 9.62252i −0.284289 + 0.909242i
\(113\) 6.04769 + 6.97941i 0.568919 + 0.656567i 0.965185 0.261568i \(-0.0842397\pi\)
−0.396266 + 0.918136i \(0.629694\pi\)
\(114\) 8.74866 4.33168i 0.819387 0.405699i
\(115\) −0.985351 + 0.180721i −0.0918844 + 0.0168523i
\(116\) −1.08305 0.825594i −0.100559 0.0766545i
\(117\) −4.55688 + 3.94856i −0.421283 + 0.365044i
\(118\) −1.21563 + 10.8613i −0.111908 + 0.999867i
\(119\) −1.43457 + 9.97767i −0.131507 + 0.914652i
\(120\) −0.480865 0.343276i −0.0438968 0.0313367i
\(121\) 3.18288 + 22.1374i 0.289353 + 2.01249i
\(122\) −3.06365 17.4148i −0.277370 1.57666i
\(123\) 6.14164 + 9.55658i 0.553773 + 0.861688i
\(124\) 0.571532 + 0.129558i 0.0513251 + 0.0116346i
\(125\) 0.585935 + 1.99551i 0.0524076 + 0.178484i
\(126\) −0.896568 + 3.44989i −0.0798726 + 0.307341i
\(127\) 5.68698 6.56313i 0.504638 0.582383i −0.445080 0.895491i \(-0.646825\pi\)
0.949718 + 0.313108i \(0.101370\pi\)
\(128\) 10.5797 4.00866i 0.935125 0.354319i
\(129\) 2.38671 + 5.22616i 0.210138 + 0.460138i
\(130\) 0.915568 1.52789i 0.0803006 0.134005i
\(131\) −1.76611 + 6.01481i −0.154306 + 0.525517i −0.999966 0.00820412i \(-0.997389\pi\)
0.845661 + 0.533721i \(0.179207\pi\)
\(132\) 10.0907 + 5.62471i 0.878286 + 0.489568i
\(133\) 15.8265 + 7.22772i 1.37233 + 0.626723i
\(134\) −5.03368 + 1.65103i −0.434844 + 0.142628i
\(135\) −0.175727 0.112933i −0.0151242 0.00971971i
\(136\) 9.80304 5.64441i 0.840603 0.484004i
\(137\) −0.313042 −0.0267450 −0.0133725 0.999911i \(-0.504257\pi\)
−0.0133725 + 0.999911i \(0.504257\pi\)
\(138\) 2.37950 6.35122i 0.202557 0.540652i
\(139\) 5.60105i 0.475075i 0.971378 + 0.237538i \(0.0763403\pi\)
−0.971378 + 0.237538i \(0.923660\pi\)
\(140\) −0.0659599 1.05092i −0.00557463 0.0888190i
\(141\) −1.70091 + 2.64667i −0.143242 + 0.222889i
\(142\) −5.20721 15.8758i −0.436979 1.33227i
\(143\) −14.4683 + 31.6812i −1.20990 + 2.64931i
\(144\) 3.66695 1.59797i 0.305579 0.133164i
\(145\) 0.136474 + 0.0400723i 0.0113335 + 0.00332782i
\(146\) −8.30502 + 13.8593i −0.687329 + 1.14701i
\(147\) 0.588722 0.268860i 0.0485570 0.0221752i
\(148\) −4.00108 1.53219i −0.328887 0.125945i
\(149\) −1.66760 1.44498i −0.136615 0.118377i 0.583873 0.811845i \(-0.301537\pi\)
−0.720488 + 0.693468i \(0.756082\pi\)
\(150\) −6.78401 1.76305i −0.553912 0.143952i
\(151\) −23.0454 + 6.76675i −1.87541 + 0.550670i −0.878007 + 0.478647i \(0.841127\pi\)
−0.997403 + 0.0720229i \(0.977055\pi\)
\(152\) −4.58076 18.9796i −0.371549 1.53945i
\(153\) 3.36447 2.16222i 0.272002 0.174805i
\(154\) 3.56735 + 20.2780i 0.287465 + 1.63405i
\(155\) −0.0605843 + 0.00871070i −0.00486625 + 0.000699661i
\(156\) 5.68688 + 10.6341i 0.455315 + 0.851410i
\(157\) −18.5052 2.66065i −1.47688 0.212343i −0.643671 0.765303i \(-0.722589\pi\)
−0.833208 + 0.552960i \(0.813498\pi\)
\(158\) 3.33865 + 0.373670i 0.265609 + 0.0297276i
\(159\) −1.68437 1.94387i −0.133579 0.154159i
\(160\) −0.882180 + 0.786154i −0.0697425 + 0.0621509i
\(161\) 11.4581 3.85046i 0.903025 0.303459i
\(162\) 1.26737 0.627508i 0.0995742 0.0493017i
\(163\) −1.36908 + 1.18632i −0.107235 + 0.0929194i −0.706828 0.707386i \(-0.749875\pi\)
0.599593 + 0.800305i \(0.295329\pi\)
\(164\) 21.3558 7.75389i 1.66761 0.605477i
\(165\) −1.19430 0.171715i −0.0929763 0.0133680i
\(166\) −20.2269 + 0.634137i −1.56991 + 0.0492185i
\(167\) −0.591885 4.11665i −0.0458014 0.318556i −0.999823 0.0188177i \(-0.994010\pi\)
0.954022 0.299738i \(-0.0968993\pi\)
\(168\) 6.33264 + 3.27414i 0.488574 + 0.252606i
\(169\) −19.6485 + 12.6273i −1.51142 + 0.971333i
\(170\) −0.745328 + 0.916688i −0.0571640 + 0.0703068i
\(171\) −1.94480 6.62337i −0.148722 0.506502i
\(172\) 11.2490 2.34455i 0.857726 0.178770i
\(173\) 13.3481 + 11.5662i 1.01483 + 0.879359i 0.992726 0.120397i \(-0.0384166\pi\)
0.0221086 + 0.999756i \(0.492962\pi\)
\(174\) −0.707644 + 0.653104i −0.0536463 + 0.0495117i
\(175\) −5.18953 11.3635i −0.392291 0.858998i
\(176\) 15.4327 17.1951i 1.16328 1.29613i
\(177\) 7.41504 + 2.17725i 0.557348 + 0.163652i
\(178\) 13.4259 + 19.5181i 1.00632 + 1.46294i
\(179\) −9.69685 4.42840i −0.724777 0.330994i 0.0186370 0.999826i \(-0.494067\pi\)
−0.743414 + 0.668832i \(0.766795\pi\)
\(180\) −0.297975 + 0.292824i −0.0222097 + 0.0218258i
\(181\) 7.44916 11.5911i 0.553692 0.861561i −0.445744 0.895161i \(-0.647061\pi\)
0.999435 + 0.0335996i \(0.0106971\pi\)
\(182\) −8.31130 + 19.8204i −0.616074 + 1.46919i
\(183\) −12.5032 −0.924263
\(184\) −11.3360 7.44945i −0.835703 0.549181i
\(185\) 0.447479 0.0328993
\(186\) 0.160247 0.382149i 0.0117499 0.0280206i
\(187\) 12.4895 19.4340i 0.913323 1.42116i
\(188\) 4.41030 + 4.48787i 0.321654 + 0.327312i
\(189\) 2.29270 + 1.04704i 0.166770 + 0.0761612i
\(190\) 1.15570 + 1.68011i 0.0838432 + 0.121888i
\(191\) 14.1397 + 4.15180i 1.02311 + 0.300413i 0.749908 0.661542i \(-0.230098\pi\)
0.273206 + 0.961956i \(0.411916\pi\)
\(192\) −1.49551 7.85897i −0.107929 0.567172i
\(193\) −7.89644 17.2908i −0.568398 1.24462i −0.947646 0.319324i \(-0.896544\pi\)
0.379247 0.925295i \(-0.376183\pi\)
\(194\) 6.40936 5.91538i 0.460165 0.424700i
\(195\) −0.951872 0.824802i −0.0681650 0.0590653i
\(196\) −0.264111 1.26719i −0.0188651 0.0905134i
\(197\) 5.86293 + 19.9673i 0.417716 + 1.42261i 0.852808 + 0.522225i \(0.174898\pi\)
−0.435091 + 0.900386i \(0.643284\pi\)
\(198\) 5.15338 6.33820i 0.366235 0.450436i
\(199\) −13.8730 + 8.91566i −0.983434 + 0.632014i −0.930387 0.366578i \(-0.880529\pi\)
−0.0530462 + 0.998592i \(0.516893\pi\)
\(200\) −6.43841 + 12.4528i −0.455265 + 0.880544i
\(201\) 0.533101 + 3.70780i 0.0376020 + 0.261528i
\(202\) 17.5939 0.551590i 1.23791 0.0388097i
\(203\) −1.69877 0.244247i −0.119230 0.0171428i
\(204\) −2.72982 7.51848i −0.191126 0.526399i
\(205\) −1.79335 + 1.55395i −0.125253 + 0.108532i
\(206\) −14.6861 + 7.27145i −1.02323 + 0.506626i
\(207\) −4.13154 2.43523i −0.287162 0.169260i
\(208\) 23.2564 6.39044i 1.61254 0.443097i
\(209\) −26.1115 30.1343i −1.80617 2.08443i
\(210\) −0.739955 0.0828177i −0.0510617 0.00571497i
\(211\) −2.81311 0.404463i −0.193662 0.0278444i 0.0448011 0.998996i \(-0.485735\pi\)
−0.238463 + 0.971152i \(0.576644\pi\)
\(212\) −4.53629 + 2.42590i −0.311554 + 0.166612i
\(213\) −11.6940 + 1.68135i −0.801263 + 0.115204i
\(214\) −1.21487 6.90571i −0.0830467 0.472064i
\(215\) −1.00961 + 0.648839i −0.0688550 + 0.0442504i
\(216\) −0.663591 2.74948i −0.0451516 0.187079i
\(217\) 0.708624 0.208071i 0.0481045 0.0141248i
\(218\) 13.1075 + 3.40642i 0.887753 + 0.230712i
\(219\) 8.63433 + 7.48169i 0.583454 + 0.505566i
\(220\) −0.862994 + 2.25358i −0.0581831 + 0.151936i
\(221\) 21.9354 10.0176i 1.47553 0.673854i
\(222\) −1.55723 + 2.59868i −0.104514 + 0.174412i
\(223\) 8.55889 + 2.51312i 0.573146 + 0.168291i 0.555446 0.831553i \(-0.312548\pi\)
0.0176997 + 0.999843i \(0.494366\pi\)
\(224\) 9.18625 10.9042i 0.613782 0.728569i
\(225\) −2.05895 + 4.50847i −0.137263 + 0.300565i
\(226\) −4.07040 12.4099i −0.270759 0.825493i
\(227\) −2.26730 + 3.52799i −0.150486 + 0.234161i −0.908309 0.418299i \(-0.862626\pi\)
0.757823 + 0.652460i \(0.226263\pi\)
\(228\) −13.7789 + 0.864816i −0.912527 + 0.0572738i
\(229\) 3.13780i 0.207351i −0.994611 0.103676i \(-0.966940\pi\)
0.994611 0.103676i \(-0.0330604\pi\)
\(230\) 1.38392 + 0.303181i 0.0912530 + 0.0199911i
\(231\) 14.5589 0.957905
\(232\) 0.961003 + 1.66904i 0.0630929 + 0.109578i
\(233\) −5.10382 3.28003i −0.334362 0.214882i 0.362676 0.931915i \(-0.381863\pi\)
−0.697039 + 0.717034i \(0.745499\pi\)
\(234\) 8.10245 2.65758i 0.529674 0.173731i
\(235\) −0.597791 0.273002i −0.0389956 0.0178087i
\(236\) 7.52533 13.5005i 0.489857 0.878805i
\(237\) 0.669262 2.27930i 0.0434732 0.148056i
\(238\) 7.32761 12.2282i 0.474979 0.792640i
\(239\) 0.205268 + 0.449474i 0.0132777 + 0.0290740i 0.916155 0.400825i \(-0.131276\pi\)
−0.902877 + 0.429899i \(0.858549\pi\)
\(240\) 0.439407 + 0.710677i 0.0283636 + 0.0458740i
\(241\) 10.9064 12.5866i 0.702541 0.810776i −0.286552 0.958065i \(-0.592509\pi\)
0.989094 + 0.147289i \(0.0470546\pi\)
\(242\) 7.95557 30.6121i 0.511403 1.96782i
\(243\) −0.281733 0.959493i −0.0180732 0.0615515i
\(244\) −5.52831 + 24.3876i −0.353914 + 1.56126i
\(245\) 0.0730911 + 0.113732i 0.00466962 + 0.00726607i
\(246\) −2.78351 15.8224i −0.177470 1.00880i
\(247\) −5.92348 41.1987i −0.376902 2.62141i
\(248\) −0.674534 0.481531i −0.0428330 0.0305773i
\(249\) −2.03647 + 14.1640i −0.129056 + 0.897604i
\(250\) 0.327146 2.92297i 0.0206905 0.184865i
\(251\) −16.8344 + 14.5871i −1.06258 + 0.920727i −0.997022 0.0771224i \(-0.975427\pi\)
−0.0655535 + 0.997849i \(0.520881\pi\)
\(252\) 3.05599 4.00900i 0.192510 0.252543i
\(253\) −27.5516 2.88154i −1.73216 0.181161i
\(254\) −11.0062 + 5.44944i −0.690590 + 0.341928i
\(255\) 0.547079 + 0.631363i 0.0342594 + 0.0395375i
\(256\) −15.9903 0.557844i −0.999392 0.0348653i
\(257\) 2.35328 16.3674i 0.146794 1.02097i −0.774630 0.632414i \(-0.782064\pi\)
0.921424 0.388559i \(-0.127027\pi\)
\(258\) −0.254608 8.12117i −0.0158512 0.505602i
\(259\) −5.34442 + 0.768412i −0.332086 + 0.0477468i
\(260\) −2.02966 + 1.49195i −0.125874 + 0.0925269i
\(261\) 0.368133 + 0.572827i 0.0227869 + 0.0354571i
\(262\) 5.59276 6.87861i 0.345522 0.424962i
\(263\) 7.83744 2.30128i 0.483277 0.141903i −0.0310135 0.999519i \(-0.509873\pi\)
0.514291 + 0.857616i \(0.328055\pi\)
\(264\) −10.0842 12.8542i −0.620638 0.791120i
\(265\) 0.351843 0.406049i 0.0216136 0.0249434i
\(266\) −16.6881 18.0816i −1.02321 1.10866i
\(267\) 15.2375 6.95873i 0.932519 0.425867i
\(268\) 7.46782 + 0.599589i 0.456169 + 0.0366257i
\(269\) −4.28400 + 14.5900i −0.261200 + 0.889566i 0.719573 + 0.694416i \(0.244337\pi\)
−0.980773 + 0.195150i \(0.937481\pi\)
\(270\) 0.167420 + 0.243389i 0.0101889 + 0.0148122i
\(271\) −7.62800 + 16.7030i −0.463368 + 1.01463i 0.523339 + 0.852125i \(0.324686\pi\)
−0.986707 + 0.162510i \(0.948041\pi\)
\(272\) −15.8719 + 2.00024i −0.962374 + 0.121283i
\(273\) 12.7849 + 8.21638i 0.773780 + 0.497278i
\(274\) 0.408266 + 0.171198i 0.0246643 + 0.0103425i
\(275\) 28.6292i 1.72641i
\(276\) −6.57672 + 6.98189i −0.395872 + 0.420260i
\(277\) 16.6080i 0.997878i −0.866637 0.498939i \(-0.833723\pi\)
0.866637 0.498939i \(-0.166277\pi\)
\(278\) 3.06314 7.30485i 0.183715 0.438116i
\(279\) −0.246501 0.158417i −0.0147576 0.00948415i
\(280\) −0.488710 + 1.40667i −0.0292060 + 0.0840648i
\(281\) −5.99935 + 13.1367i −0.357891 + 0.783672i 0.641966 + 0.766733i \(0.278119\pi\)
−0.999857 + 0.0169385i \(0.994608\pi\)
\(282\) 3.66574 2.52155i 0.218291 0.150156i
\(283\) 1.63467 5.56718i 0.0971711 0.330935i −0.896532 0.442979i \(-0.853922\pi\)
0.993703 + 0.112044i \(0.0357399\pi\)
\(284\) −1.89105 + 23.5528i −0.112213 + 1.39760i
\(285\) 1.31164 0.599005i 0.0776947 0.0354820i
\(286\) 36.1954 33.4058i 2.14028 1.97533i
\(287\) 18.7502 21.6389i 1.10679 1.27731i
\(288\) −5.65631 + 0.0786544i −0.333301 + 0.00463476i
\(289\) 0.964427 0.283181i 0.0567310 0.0166577i
\(290\) −0.156073 0.126898i −0.00916492 0.00745168i
\(291\) −3.33430 5.18828i −0.195460 0.304142i
\(292\) 18.4108 13.5333i 1.07741 0.791979i
\(293\) 4.17079 0.599670i 0.243660 0.0350331i −0.0194025 0.999812i \(-0.506176\pi\)
0.263063 + 0.964779i \(0.415267\pi\)
\(294\) −0.914842 + 0.0286813i −0.0533547 + 0.00167273i
\(295\) −0.229738 + 1.59786i −0.0133759 + 0.0930312i
\(296\) 4.38024 + 4.18640i 0.254596 + 0.243330i
\(297\) −3.78264 4.36540i −0.219491 0.253306i
\(298\) 1.38463 + 2.79652i 0.0802092 + 0.161998i
\(299\) −22.5684 18.0793i −1.30516 1.04555i
\(300\) 7.88346 + 6.00944i 0.455152 + 0.346955i
\(301\) 10.9440 9.48305i 0.630803 0.546594i
\(302\) 33.7563 + 3.77809i 1.94246 + 0.217405i
\(303\) 1.77138 12.3202i 0.101763 0.707778i
\(304\) −4.40551 + 27.2582i −0.252674 + 1.56337i
\(305\) −0.371691 2.58517i −0.0212830 0.148026i
\(306\) −5.57040 + 0.979959i −0.318439 + 0.0560205i
\(307\) 15.9820 + 24.8685i 0.912142 + 1.41932i 0.907834 + 0.419330i \(0.137735\pi\)
0.00430825 + 0.999991i \(0.498629\pi\)
\(308\) 6.43724 28.3973i 0.366796 1.61809i
\(309\) 3.26467 + 11.1184i 0.185720 + 0.632505i
\(310\) 0.0837773 + 0.0217723i 0.00475823 + 0.00123658i
\(311\) −17.3341 + 20.0047i −0.982929 + 1.13436i 0.00799972 + 0.999968i \(0.497454\pi\)
−0.990928 + 0.134392i \(0.957092\pi\)
\(312\) −1.60113 16.9790i −0.0906462 0.961246i
\(313\) −1.24374 2.72340i −0.0703002 0.153936i 0.871220 0.490893i \(-0.163329\pi\)
−0.941520 + 0.336957i \(0.890602\pi\)
\(314\) 22.6793 + 13.5903i 1.27987 + 0.766943i
\(315\) −0.148331 + 0.505167i −0.00835748 + 0.0284630i
\(316\) −4.14988 2.31320i −0.233449 0.130128i
\(317\) 4.70433 + 2.14839i 0.264221 + 0.120666i 0.543121 0.839654i \(-0.317242\pi\)
−0.278900 + 0.960320i \(0.589970\pi\)
\(318\) 1.13367 + 3.45634i 0.0635730 + 0.193822i
\(319\) 3.30879 + 2.12643i 0.185257 + 0.119057i
\(320\) 1.58047 0.542842i 0.0883509 0.0303458i
\(321\) −4.95806 −0.276732
\(322\) −17.0493 1.24454i −0.950122 0.0693553i
\(323\) 27.6075i 1.53612i
\(324\) −1.99607 + 0.125281i −0.110893 + 0.00696008i
\(325\) −16.1570 + 25.1408i −0.896231 + 1.39456i
\(326\) 2.43432 0.798451i 0.134825 0.0442221i
\(327\) 3.97814 8.71090i 0.219991 0.481714i
\(328\) −32.0925 1.56662i −1.77201 0.0865021i
\(329\) 7.60845 + 2.23404i 0.419467 + 0.123167i
\(330\) 1.46369 + 0.877096i 0.0805735 + 0.0482825i
\(331\) 18.5154 8.45572i 1.01770 0.464768i 0.164514 0.986375i \(-0.447394\pi\)
0.853186 + 0.521607i \(0.174667\pi\)
\(332\) 26.7266 + 10.2348i 1.46681 + 0.561707i
\(333\) 1.61897 + 1.40285i 0.0887192 + 0.0768756i
\(334\) −1.47941 + 5.69259i −0.0809496 + 0.311485i
\(335\) −0.750779 + 0.220449i −0.0410194 + 0.0120444i
\(336\) −6.46839 7.73334i −0.352880 0.421888i
\(337\) −17.0822 + 10.9781i −0.930527 + 0.598013i −0.915694 0.401877i \(-0.868358\pi\)
−0.0148328 + 0.999890i \(0.504722\pi\)
\(338\) 32.5311 5.72295i 1.76946 0.311288i
\(339\) −9.14108 + 1.31429i −0.496475 + 0.0713824i
\(340\) 1.47337 0.787927i 0.0799050 0.0427313i
\(341\) −1.67531 0.240873i −0.0907230 0.0130440i
\(342\) −1.08584 + 9.70172i −0.0587156 + 0.524609i
\(343\) −12.6222 14.5668i −0.681533 0.786531i
\(344\) −15.9530 3.09417i −0.860129 0.166827i
\(345\) 0.380689 0.926635i 0.0204956 0.0498883i
\(346\) −11.0831 22.3844i −0.595829 1.20339i
\(347\) 6.73110 5.83253i 0.361344 0.313107i −0.455200 0.890389i \(-0.650432\pi\)
0.816545 + 0.577282i \(0.195887\pi\)
\(348\) 1.28008 0.464772i 0.0686193 0.0249144i
\(349\) 12.2865 + 1.76653i 0.657680 + 0.0945602i 0.463072 0.886321i \(-0.346747\pi\)
0.194609 + 0.980881i \(0.437656\pi\)
\(350\) 0.553606 + 17.6582i 0.0295915 + 0.943872i
\(351\) −0.858103 5.96824i −0.0458022 0.318561i
\(352\) −29.5310 + 13.9858i −1.57401 + 0.745446i
\(353\) 4.05166 2.60384i 0.215648 0.138589i −0.428358 0.903609i \(-0.640908\pi\)
0.644006 + 0.765021i \(0.277271\pi\)
\(354\) −8.47992 6.89474i −0.450703 0.366451i
\(355\) −0.695274 2.36789i −0.0369013 0.125674i
\(356\) −6.83581 32.7977i −0.362297 1.73828i
\(357\) −7.61817 6.60118i −0.403196 0.349371i
\(358\) 10.2247 + 11.0786i 0.540393 + 0.585520i
\(359\) −0.655620 1.43561i −0.0346023 0.0757685i 0.891542 0.452939i \(-0.149624\pi\)
−0.926144 + 0.377170i \(0.876897\pi\)
\(360\) 0.548758 0.218940i 0.0289221 0.0115392i
\(361\) 27.4907 + 8.07198i 1.44688 + 0.424841i
\(362\) −16.0542 + 11.0432i −0.843788 + 0.580417i
\(363\) −20.3440 9.29078i −1.06778 0.487640i
\(364\) 21.6790 21.3043i 1.13629 1.11665i
\(365\) −1.29024 + 2.00765i −0.0675343 + 0.105085i
\(366\) 16.3066 + 6.83783i 0.852358 + 0.357419i
\(367\) 8.96669 0.468057 0.234029 0.972230i \(-0.424809\pi\)
0.234029 + 0.972230i \(0.424809\pi\)
\(368\) 10.7104 + 15.9150i 0.558316 + 0.829629i
\(369\) −11.3599 −0.591374
\(370\) −0.583599 0.244720i −0.0303398 0.0127224i
\(371\) −3.50494 + 5.45379i −0.181967 + 0.283147i
\(372\) −0.417985 + 0.410759i −0.0216715 + 0.0212969i
\(373\) −3.15179 1.43937i −0.163193 0.0745280i 0.332144 0.943229i \(-0.392228\pi\)
−0.495337 + 0.868701i \(0.664955\pi\)
\(374\) −26.9169 + 18.5154i −1.39184 + 0.957407i
\(375\) −1.99551 0.585935i −0.103048 0.0302575i
\(376\) −3.29751 8.26498i −0.170056 0.426234i
\(377\) 1.70556 + 3.73466i 0.0878410 + 0.192345i
\(378\) −2.41751 2.61939i −0.124343 0.134727i
\(379\) 5.67753 + 4.91961i 0.291635 + 0.252703i 0.788373 0.615197i \(-0.210924\pi\)
−0.496738 + 0.867900i \(0.665469\pi\)
\(380\) −0.588424 2.82322i −0.0301855 0.144828i
\(381\) 2.44664 + 8.33249i 0.125345 + 0.426886i
\(382\) −16.1703 13.1476i −0.827347 0.672687i
\(383\) −6.90273 + 4.43612i −0.352713 + 0.226675i −0.704984 0.709223i \(-0.749046\pi\)
0.352271 + 0.935898i \(0.385410\pi\)
\(384\) −2.34753 + 11.0675i −0.119797 + 0.564785i
\(385\) 0.432802 + 3.01021i 0.0220577 + 0.153414i
\(386\) 0.842373 + 26.8690i 0.0428757 + 1.36759i
\(387\) −5.68687 0.817649i −0.289080 0.0415634i
\(388\) −11.5941 + 4.20960i −0.588600 + 0.213710i
\(389\) 19.8326 17.1850i 1.00555 0.871314i 0.0138524 0.999904i \(-0.495590\pi\)
0.991698 + 0.128590i \(0.0410450\pi\)
\(390\) 0.790350 + 1.59627i 0.0400210 + 0.0808300i
\(391\) 13.1103 + 14.0001i 0.663017 + 0.708013i
\(392\) −0.348556 + 1.79709i −0.0176047 + 0.0907669i
\(393\) −4.10515 4.73760i −0.207078 0.238980i
\(394\) 3.27346 29.2475i 0.164915 1.47347i
\(395\) 0.491165 + 0.0706188i 0.0247132 + 0.00355322i
\(396\) −10.1873 + 5.44792i −0.511929 + 0.273768i
\(397\) 26.6381 3.82998i 1.33693 0.192221i 0.563505 0.826112i \(-0.309452\pi\)
0.773422 + 0.633891i \(0.218543\pi\)
\(398\) 22.9690 4.04075i 1.15133 0.202545i
\(399\) −14.6368 + 9.40650i −0.732757 + 0.470914i
\(400\) 15.2072 12.7197i 0.760359 0.635986i
\(401\) 8.00460 2.35036i 0.399731 0.117372i −0.0756872 0.997132i \(-0.524115\pi\)
0.475418 + 0.879760i \(0.342297\pi\)
\(402\) 1.33248 5.12722i 0.0664579 0.255723i
\(403\) −1.33524 1.15699i −0.0665130 0.0576338i
\(404\) −23.2475 8.90251i −1.15661 0.442916i
\(405\) 0.190010 0.0867748i 0.00944168 0.00431187i
\(406\) 2.08195 + 1.24758i 0.103325 + 0.0619164i
\(407\) 11.8727 + 3.48614i 0.588508 + 0.172801i
\(408\) −0.551542 + 11.2984i −0.0273054 + 0.559356i
\(409\) −6.73387 + 14.7451i −0.332968 + 0.729099i −0.999871 0.0160457i \(-0.994892\pi\)
0.666903 + 0.745145i \(0.267620\pi\)
\(410\) 3.18870 1.04588i 0.157479 0.0516526i
\(411\) 0.169243 0.263347i 0.00834815 0.0129900i
\(412\) 23.1301 1.45174i 1.13954 0.0715220i
\(413\) 19.4784i 0.958471i
\(414\) 4.05653 + 5.43549i 0.199367 + 0.267140i
\(415\) −2.98909 −0.146729
\(416\) −33.8257 4.38427i −1.65844 0.214956i
\(417\) −4.71191 3.02816i −0.230743 0.148290i
\(418\) 17.5744 + 53.5809i 0.859591 + 2.62073i
\(419\) 10.9304 + 4.99177i 0.533987 + 0.243864i 0.664111 0.747634i \(-0.268810\pi\)
−0.130124 + 0.991498i \(0.541538\pi\)
\(420\) 0.919751 + 0.512681i 0.0448793 + 0.0250163i
\(421\) 6.74790 22.9812i 0.328872 1.12004i −0.614670 0.788784i \(-0.710711\pi\)
0.943542 0.331252i \(-0.107471\pi\)
\(422\) 3.44763 + 2.06595i 0.167828 + 0.100569i
\(423\) −1.30694 2.86179i −0.0635454 0.139145i
\(424\) 7.24289 0.683009i 0.351746 0.0331698i
\(425\) 12.9808 14.9807i 0.629663 0.726670i
\(426\) 16.1708 + 4.20251i 0.783477 + 0.203612i
\(427\) 8.87852 + 30.2374i 0.429661 + 1.46329i
\(428\) −2.19222 + 9.67076i −0.105965 + 0.467454i
\(429\) −18.8297 29.2996i −0.909108 1.41460i
\(430\) 1.67157 0.294067i 0.0806103 0.0141812i
\(431\) −1.39568 9.70715i −0.0672274 0.467577i −0.995429 0.0955002i \(-0.969555\pi\)
0.928202 0.372077i \(-0.121354\pi\)
\(432\) −0.638204 + 3.94876i −0.0307056 + 0.189985i
\(433\) −0.927383 + 6.45009i −0.0445672 + 0.309972i 0.955329 + 0.295545i \(0.0955013\pi\)
−0.999896 + 0.0144264i \(0.995408\pi\)
\(434\) −1.03797 0.116173i −0.0498243 0.00557647i
\(435\) −0.107494 + 0.0931443i −0.00515396 + 0.00446593i
\(436\) −15.2318 11.6109i −0.729470 0.556064i
\(437\) 29.5609 14.9042i 1.41409 0.712963i
\(438\) −7.16919 14.4796i −0.342557 0.691860i
\(439\) −15.6599 18.0725i −0.747405 0.862552i 0.246909 0.969039i \(-0.420585\pi\)
−0.994314 + 0.106487i \(0.966040\pi\)
\(440\) 2.35796 2.46714i 0.112411 0.117616i
\(441\) −0.0921074 + 0.640621i −0.00438607 + 0.0305058i
\(442\) −34.0864 + 1.06865i −1.62133 + 0.0508304i
\(443\) 5.03264 0.723584i 0.239108 0.0343785i −0.0217190 0.999764i \(-0.506914\pi\)
0.260827 + 0.965386i \(0.416005\pi\)
\(444\) 3.45211 2.53756i 0.163830 0.120427i
\(445\) 1.89177 + 2.94365i 0.0896784 + 0.139542i
\(446\) −9.78804 7.95833i −0.463477 0.376838i
\(447\) 2.11717 0.621656i 0.100139 0.0294033i
\(448\) −17.9440 + 9.19737i −0.847774 + 0.434535i
\(449\) 5.35031 6.17459i 0.252497 0.291397i −0.615324 0.788274i \(-0.710975\pi\)
0.867821 + 0.496878i \(0.165520\pi\)
\(450\) 5.15088 4.75390i 0.242815 0.224101i
\(451\) −59.6880 + 27.2586i −2.81060 + 1.28356i
\(452\) −1.47821 + 18.4109i −0.0695290 + 0.865976i
\(453\) 6.76675 23.0454i 0.317930 1.08277i
\(454\) 4.88640 3.36122i 0.229330 0.157750i
\(455\) −1.31876 + 2.88768i −0.0618243 + 0.135376i
\(456\) 18.4432 + 6.40758i 0.863683 + 0.300063i
\(457\) 19.4119 + 12.4753i 0.908051 + 0.583569i 0.909168 0.416430i \(-0.136719\pi\)
−0.00111654 + 0.999999i \(0.500355\pi\)
\(458\) −1.71602 + 4.09229i −0.0801842 + 0.191220i
\(459\) 3.99936i 0.186674i
\(460\) −1.63909 1.15225i −0.0764230 0.0537240i
\(461\) 18.6881i 0.870391i 0.900336 + 0.435195i \(0.143321\pi\)
−0.900336 + 0.435195i \(0.856679\pi\)
\(462\) −18.9876 7.96206i −0.883382 0.370428i
\(463\) 30.2126 + 19.4164i 1.40410 + 0.902358i 0.999924 0.0123242i \(-0.00392302\pi\)
0.404173 + 0.914683i \(0.367559\pi\)
\(464\) −0.340557 2.70231i −0.0158099 0.125451i
\(465\) 0.0254264 0.0556761i 0.00117912 0.00258192i
\(466\) 4.86256 + 7.06899i 0.225254 + 0.327465i
\(467\) 1.04167 3.54761i 0.0482029 0.164164i −0.931874 0.362782i \(-0.881827\pi\)
0.980077 + 0.198618i \(0.0636452\pi\)
\(468\) −12.0205 0.965127i −0.555650 0.0446130i
\(469\) 8.58830 3.92214i 0.396571 0.181108i
\(470\) 0.630332 + 0.682970i 0.0290751 + 0.0315031i
\(471\) 12.2430 14.1291i 0.564126 0.651036i
\(472\) −17.1977 + 13.4917i −0.791588 + 0.621005i
\(473\) −31.8423 + 9.34975i −1.46411 + 0.429902i
\(474\) −2.11936 + 2.60663i −0.0973455 + 0.119726i
\(475\) −18.4973 28.7824i −0.848716 1.32063i
\(476\) −16.2441 + 11.9406i −0.744546 + 0.547297i
\(477\) 2.54593 0.366049i 0.116570 0.0167602i
\(478\) −0.0218975 0.698458i −0.00100157 0.0319467i
\(479\) −5.37801 + 37.4049i −0.245728 + 1.70907i 0.376649 + 0.926356i \(0.377076\pi\)
−0.622377 + 0.782718i \(0.713833\pi\)
\(480\) −0.184412 1.16716i −0.00841720 0.0532735i
\(481\) 8.45863 + 9.76178i 0.385680 + 0.445099i
\(482\) −21.1075 + 10.4508i −0.961418 + 0.476022i
\(483\) −2.95550 + 11.7209i −0.134480 + 0.533319i
\(484\) −27.1169 + 35.5733i −1.23259 + 1.61697i
\(485\) 0.973611 0.843639i 0.0442094 0.0383077i
\(486\) −0.157300 + 1.40544i −0.00713529 + 0.0637520i
\(487\) −2.92088 + 20.3152i −0.132358 + 0.920569i 0.810111 + 0.586276i \(0.199407\pi\)
−0.942469 + 0.334293i \(0.891503\pi\)
\(488\) 20.5472 28.7828i 0.930130 1.30294i
\(489\) −0.257811 1.79311i −0.0116586 0.0810875i
\(490\) −0.0331263 0.188301i −0.00149650 0.00850656i
\(491\) −2.28446 3.55468i −0.103096 0.160421i 0.785873 0.618388i \(-0.212214\pi\)
−0.888969 + 0.457967i \(0.848578\pi\)
\(492\) −5.02281 + 22.1577i −0.226446 + 0.998946i
\(493\) −0.767226 2.61293i −0.0345541 0.117681i
\(494\) −14.8056 + 56.9704i −0.666138 + 2.56322i
\(495\) 0.790144 0.911875i 0.0355143 0.0409857i
\(496\) 0.616379 + 0.996902i 0.0276762 + 0.0447622i
\(497\) 12.3701 + 27.0867i 0.554874 + 1.21500i
\(498\) 10.4020 17.3588i 0.466126 0.777866i
\(499\) −4.17031 + 14.2028i −0.186689 + 0.635803i 0.811954 + 0.583721i \(0.198404\pi\)
−0.998643 + 0.0520817i \(0.983414\pi\)
\(500\) −2.02519 + 3.63320i −0.0905693 + 0.162481i
\(501\) 3.78314 + 1.72770i 0.169018 + 0.0771881i
\(502\) 29.9327 9.81783i 1.33596 0.438191i
\(503\) 11.8887 + 7.64042i 0.530092 + 0.340669i 0.778153 0.628075i \(-0.216157\pi\)
−0.248061 + 0.968744i \(0.579793\pi\)
\(504\) −6.17807 + 3.55722i −0.275193 + 0.158451i
\(505\) 2.60000 0.115698
\(506\) 34.3567 + 18.8257i 1.52734 + 0.836904i
\(507\) 23.3562i 1.03729i
\(508\) 17.3344 1.08798i 0.769090 0.0482712i
\(509\) 8.86210 13.7897i 0.392806 0.611218i −0.587377 0.809314i \(-0.699839\pi\)
0.980183 + 0.198096i \(0.0634757\pi\)
\(510\) −0.368212 1.12261i −0.0163047 0.0497100i
\(511\) 11.9623 26.1938i 0.529182 1.15875i
\(512\) 20.5493 + 9.47240i 0.908159 + 0.418625i
\(513\) 6.62337 + 1.94480i 0.292429 + 0.0858649i
\(514\) −12.0203 + 20.0593i −0.530191 + 0.884778i
\(515\) −2.20180 + 1.00553i −0.0970231 + 0.0443090i
\(516\) −4.10930 + 10.7308i −0.180902 + 0.472397i
\(517\) −13.7340 11.9006i −0.604019 0.523386i
\(518\) 7.39038 + 1.92064i 0.324715 + 0.0843879i
\(519\) −16.9466 + 4.97597i −0.743872 + 0.218421i
\(520\) 3.46299 0.835797i 0.151862 0.0366521i
\(521\) 3.96667 2.54922i 0.173783 0.111683i −0.450858 0.892596i \(-0.648882\pi\)
0.624641 + 0.780912i \(0.285245\pi\)
\(522\) −0.166845 0.948402i −0.00730262 0.0415104i
\(523\) −23.8003 + 3.42197i −1.04071 + 0.149632i −0.641419 0.767191i \(-0.721654\pi\)
−0.399295 + 0.916823i \(0.630745\pi\)
\(524\) −11.0559 + 5.91242i −0.482977 + 0.258285i
\(525\) 12.3652 + 1.77785i 0.539663 + 0.0775919i
\(526\) −11.4801 1.28488i −0.500554 0.0560233i
\(527\) 0.767416 + 0.885646i 0.0334292 + 0.0385793i
\(528\) 6.12192 + 22.2792i 0.266422 + 0.969578i
\(529\) 7.91290 21.5960i 0.344039 0.938955i
\(530\) −0.680933 + 0.337147i −0.0295779 + 0.0146447i
\(531\) −5.84049 + 5.06082i −0.253456 + 0.219621i
\(532\) 11.8758 + 32.7084i 0.514882 + 1.41809i
\(533\) −67.7988 9.74799i −2.93669 0.422232i
\(534\) −23.6782 + 0.742340i −1.02466 + 0.0321242i
\(535\) −0.147392 1.02513i −0.00637230 0.0443203i
\(536\) −9.41156 4.86603i −0.406517 0.210180i
\(537\) 8.96792 5.76333i 0.386994 0.248706i
\(538\) 13.5662 16.6853i 0.584881 0.719352i
\(539\) 1.05324 + 3.58701i 0.0453663 + 0.154503i
\(540\) −0.0852419 0.408985i −0.00366823 0.0175999i
\(541\) 14.6834 + 12.7232i 0.631288 + 0.547014i 0.910654 0.413171i \(-0.135579\pi\)
−0.279366 + 0.960185i \(0.590124\pi\)
\(542\) 19.0830 17.6123i 0.819686 0.756511i
\(543\) 5.72375 + 12.5333i 0.245630 + 0.537854i
\(544\) 21.7939 + 6.07141i 0.934405 + 0.260310i
\(545\) 1.91933 + 0.563567i 0.0822152 + 0.0241406i
\(546\) −12.1806 17.7076i −0.521281 0.757817i
\(547\) −0.996632 0.455147i −0.0426129 0.0194607i 0.393995 0.919113i \(-0.371093\pi\)
−0.436607 + 0.899652i \(0.643820\pi\)
\(548\) −0.438831 0.446550i −0.0187460 0.0190757i
\(549\) 6.75974 10.5184i 0.288499 0.448913i
\(550\) 15.6569 37.3380i 0.667613 1.59210i
\(551\) −4.70038 −0.200243
\(552\) 12.3956 5.50900i 0.527592 0.234479i
\(553\) −5.98744 −0.254612
\(554\) −9.08269 + 21.6600i −0.385886 + 0.920246i
\(555\) −0.241926 + 0.376443i −0.0102692 + 0.0159791i
\(556\) −7.98984 + 7.85173i −0.338845 + 0.332988i
\(557\) 3.16457 + 1.44521i 0.134087 + 0.0612356i 0.481329 0.876540i \(-0.340154\pi\)
−0.347242 + 0.937776i \(0.612882\pi\)
\(558\) 0.234849 + 0.341414i 0.00994194 + 0.0144532i
\(559\) −33.2390 9.75985i −1.40586 0.412798i
\(560\) 1.40666 1.56730i 0.0594423 0.0662307i
\(561\) 9.59662 + 21.0137i 0.405170 + 0.887198i
\(562\) 15.0086 13.8519i 0.633099 0.584305i
\(563\) 16.2854 + 14.1113i 0.686346 + 0.594722i 0.926627 0.375981i \(-0.122694\pi\)
−0.240281 + 0.970703i \(0.577240\pi\)
\(564\) −6.15983 + 1.28385i −0.259375 + 0.0540598i
\(565\) −0.543487 1.85095i −0.0228647 0.0778699i
\(566\) −5.17654 + 6.36669i −0.217586 + 0.267612i
\(567\) −2.12036 + 1.36267i −0.0890467 + 0.0572268i
\(568\) 15.3470 29.6832i 0.643946 1.24548i
\(569\) −0.432272 3.00652i −0.0181218 0.126040i 0.978752 0.205046i \(-0.0657344\pi\)
−0.996874 + 0.0790062i \(0.974825\pi\)
\(570\) −2.03821 + 0.0639004i −0.0853714 + 0.00267649i
\(571\) 10.0516 + 1.44520i 0.420645 + 0.0604796i 0.349388 0.936978i \(-0.386390\pi\)
0.0712576 + 0.997458i \(0.477299\pi\)
\(572\) −65.4749 + 23.7728i −2.73764 + 0.993989i
\(573\) −11.1372 + 9.65046i −0.465264 + 0.403154i
\(574\) −36.2879 + 17.9671i −1.51463 + 0.749931i
\(575\) −23.0484 5.81182i −0.961187 0.242370i
\(576\) 7.41992 + 2.99078i 0.309163 + 0.124616i
\(577\) −0.302321 0.348897i −0.0125858 0.0145248i 0.749422 0.662093i \(-0.230332\pi\)
−0.762008 + 0.647568i \(0.775786\pi\)
\(578\) −1.41267 0.158109i −0.0587591 0.00657648i
\(579\) 18.8151 + 2.70520i 0.781928 + 0.112424i
\(580\) 0.134150 + 0.250853i 0.00557029 + 0.0104161i
\(581\) 35.6999 5.13287i 1.48108 0.212947i
\(582\) 1.51117 + 8.59000i 0.0626401 + 0.356067i
\(583\) 12.4986 8.03237i 0.517640 0.332667i
\(584\) −31.4124 + 7.58143i −1.29986 + 0.313722i
\(585\) 1.20849 0.354844i 0.0499648 0.0146710i
\(586\) −5.76747 1.49887i −0.238252 0.0619176i
\(587\) −29.9501 25.9519i −1.23617 1.07115i −0.994918 0.100689i \(-0.967895\pi\)
−0.241256 0.970462i \(-0.577559\pi\)
\(588\) 1.20881 + 0.462909i 0.0498507 + 0.0190900i
\(589\) 1.83990 0.840255i 0.0758118 0.0346221i
\(590\) 1.17347 1.95828i 0.0483111 0.0806211i
\(591\) −19.9673 5.86293i −0.821345 0.241169i
\(592\) −3.42318 7.85536i −0.140692 0.322853i
\(593\) −5.40534 + 11.8360i −0.221971 + 0.486048i −0.987552 0.157291i \(-0.949724\pi\)
0.765582 + 0.643339i \(0.222451\pi\)
\(594\) 2.54591 + 7.76199i 0.104460 + 0.318478i
\(595\) 1.13839 1.77138i 0.0466696 0.0726193i
\(596\) −0.276439 4.40443i −0.0113234 0.180412i
\(597\) 16.4909i 0.674928i
\(598\) 19.5461 + 35.9212i 0.799300 + 1.46893i
\(599\) 18.0460 0.737340 0.368670 0.929560i \(-0.379813\pi\)
0.368670 + 0.929560i \(0.379813\pi\)
\(600\) −6.99506 12.1488i −0.285572 0.495973i
\(601\) −0.411046 0.264163i −0.0167669 0.0107754i 0.532231 0.846599i \(-0.321354\pi\)
−0.548997 + 0.835824i \(0.684990\pi\)
\(602\) −19.4593 + 6.38258i −0.793100 + 0.260134i
\(603\) −3.40741 1.55611i −0.138761 0.0633698i
\(604\) −41.9585 23.3882i −1.70727 0.951653i
\(605\) 1.31619 4.48253i 0.0535107 0.182241i
\(606\) −9.04797 + 15.0992i −0.367549 + 0.613362i
\(607\) 3.73915 + 8.18759i 0.151767 + 0.332324i 0.970211 0.242263i \(-0.0778898\pi\)
−0.818443 + 0.574587i \(0.805163\pi\)
\(608\) 20.6528 33.1406i 0.837581 1.34403i
\(609\) 1.12390 1.29705i 0.0455427 0.0525591i
\(610\) −0.929037 + 3.57483i −0.0376156 + 0.144741i
\(611\) −5.34440 18.2013i −0.216211 0.736347i
\(612\) 7.80080 + 1.76832i 0.315329 + 0.0714802i
\(613\) 15.1375 + 23.5543i 0.611396 + 0.951351i 0.999557 + 0.0297591i \(0.00947402\pi\)
−0.388161 + 0.921592i \(0.626890\pi\)
\(614\) −7.24337 41.1736i −0.292319 1.66163i
\(615\) −0.337705 2.34879i −0.0136176 0.0947122i
\(616\) −23.9255 + 33.5151i −0.963986 + 1.35036i
\(617\) 6.03774 41.9934i 0.243070 1.69059i −0.393462 0.919341i \(-0.628723\pi\)
0.636532 0.771250i \(-0.280368\pi\)
\(618\) 1.82277 16.2860i 0.0733225 0.655118i
\(619\) 13.1961 11.4345i 0.530395 0.459590i −0.348021 0.937487i \(-0.613146\pi\)
0.878416 + 0.477897i \(0.158601\pi\)
\(620\) −0.0973546 0.0742119i −0.00390986 0.00298042i
\(621\) 4.28233 2.15909i 0.171844 0.0866413i
\(622\) 33.5473 16.6101i 1.34512 0.666004i
\(623\) −27.6490 31.9086i −1.10773 1.27839i
\(624\) −7.19740 + 23.0195i −0.288126 + 0.921517i
\(625\) −3.46500 + 24.0996i −0.138600 + 0.963983i
\(626\) 0.132679 + 4.23202i 0.00530291 + 0.169146i
\(627\) 39.4675 5.67457i 1.57618 0.226621i
\(628\) −22.1458 30.1273i −0.883714 1.20221i
\(629\) −4.63192 7.20740i −0.184687 0.287378i
\(630\) 0.469721 0.577715i 0.0187141 0.0230167i
\(631\) 38.7533 11.3790i 1.54274 0.452991i 0.603822 0.797119i \(-0.293644\pi\)
0.938922 + 0.344129i \(0.111826\pi\)
\(632\) 4.14718 + 5.28637i 0.164966 + 0.210280i
\(633\) 1.86114 2.14787i 0.0739735 0.0853700i
\(634\) −4.96041 5.37465i −0.197003 0.213455i
\(635\) −1.65010 + 0.753575i −0.0654821 + 0.0299047i
\(636\) 0.411703 5.12771i 0.0163251 0.203327i
\(637\) −1.09944 + 3.74434i −0.0435613 + 0.148356i
\(638\) −3.15238 4.58280i −0.124804 0.181435i
\(639\) 4.90784 10.7467i 0.194151 0.425131i
\(640\) −2.35811 0.156366i −0.0932124 0.00618092i
\(641\) 20.6635 + 13.2796i 0.816158 + 0.524513i 0.880852 0.473392i \(-0.156971\pi\)
−0.0646939 + 0.997905i \(0.520607\pi\)
\(642\) 6.46626 + 2.71149i 0.255203 + 0.107014i
\(643\) 11.8132i 0.465866i −0.972493 0.232933i \(-0.925168\pi\)
0.972493 0.232933i \(-0.0748323\pi\)
\(644\) 21.5550 + 10.9472i 0.849385 + 0.431378i
\(645\) 1.20013i 0.0472550i
\(646\) 15.0982 36.0055i 0.594030 1.41662i
\(647\) −15.6174 10.0367i −0.613985 0.394584i 0.196364 0.980531i \(-0.437086\pi\)
−0.810350 + 0.585947i \(0.800723\pi\)
\(648\) 2.67178 + 0.928234i 0.104957 + 0.0364645i
\(649\) −18.5438 + 40.6054i −0.727910 + 1.59390i
\(650\) 34.8210 23.9524i 1.36579 0.939490i
\(651\) −0.208071 + 0.708624i −0.00815494 + 0.0277732i
\(652\) −3.61149 0.289965i −0.141437 0.0113559i
\(653\) −9.25563 + 4.22690i −0.362201 + 0.165411i −0.588199 0.808716i \(-0.700163\pi\)
0.225998 + 0.974128i \(0.427436\pi\)
\(654\) −9.95212 + 9.18510i −0.389159 + 0.359166i
\(655\) 0.857513 0.989622i 0.0335058 0.0386677i
\(656\) 40.9980 + 19.5941i 1.60070 + 0.765022i
\(657\) −10.9621 + 3.21876i −0.427671 + 0.125576i
\(658\) −8.70111 7.07458i −0.339205 0.275796i
\(659\) 0.122174 + 0.190106i 0.00475921 + 0.00740547i 0.843625 0.536933i \(-0.180417\pi\)
−0.838866 + 0.544338i \(0.816781\pi\)
\(660\) −1.42926 1.94437i −0.0556339 0.0756846i
\(661\) 14.2576 2.04994i 0.554558 0.0797334i 0.140662 0.990058i \(-0.455077\pi\)
0.413896 + 0.910324i \(0.364168\pi\)
\(662\) −28.7720 + 0.902035i −1.11826 + 0.0350586i
\(663\) −3.43186 + 23.8691i −0.133282 + 0.927000i
\(664\) −29.2593 27.9645i −1.13548 1.08523i
\(665\) −2.38001 2.74668i −0.0922930 0.106512i
\(666\) −1.34425 2.71498i −0.0520887 0.105203i
\(667\) −2.38361 + 2.23213i −0.0922939 + 0.0864283i
\(668\) 5.04263 6.61516i 0.195105 0.255948i
\(669\) −6.74146 + 5.84150i −0.260640 + 0.225846i
\(670\) 1.09972 + 0.123084i 0.0424859 + 0.00475513i
\(671\) 10.2782 71.4865i 0.396786 2.75970i
\(672\) 4.20676 + 13.6232i 0.162279 + 0.525528i
\(673\) −1.01054 7.02849i −0.0389536 0.270928i 0.961031 0.276440i \(-0.0891547\pi\)
−0.999985 + 0.00551154i \(0.998246\pi\)
\(674\) 28.2822 4.97547i 1.08939 0.191648i
\(675\) −2.67961 4.16956i −0.103138 0.160486i
\(676\) −45.5566 10.3270i −1.75218 0.397192i
\(677\) −6.29145 21.4267i −0.241800 0.823495i −0.987555 0.157275i \(-0.949729\pi\)
0.745755 0.666220i \(-0.232089\pi\)
\(678\) 12.6405 + 3.28505i 0.485455 + 0.126161i
\(679\) −10.1795 + 11.7478i −0.390654 + 0.450839i
\(680\) −2.35247 + 0.221839i −0.0902131 + 0.00850715i
\(681\) −1.74214 3.81475i −0.0667588 0.146181i
\(682\) 2.05319 + 1.23035i 0.0786208 + 0.0471124i
\(683\) 3.42492 11.6642i 0.131051 0.446318i −0.867656 0.497166i \(-0.834374\pi\)
0.998706 + 0.0508475i \(0.0161922\pi\)
\(684\) 6.72189 12.0591i 0.257018 0.461090i
\(685\) 0.0594811 + 0.0271641i 0.00227266 + 0.00103789i
\(686\) 8.49537 + 25.9007i 0.324355 + 0.988895i
\(687\) 2.63968 + 1.69642i 0.100710 + 0.0647225i
\(688\) 19.1136 + 12.7599i 0.728700 + 0.486466i
\(689\) 15.5088 0.590839
\(690\) −1.00326 + 1.00032i −0.0381933 + 0.0380814i
\(691\) 11.4682i 0.436270i 0.975919 + 0.218135i \(0.0699974\pi\)
−0.975919 + 0.218135i \(0.930003\pi\)
\(692\) 2.21272 + 35.2547i 0.0841151 + 1.34018i
\(693\) −7.87113 + 12.2477i −0.299000 + 0.465252i
\(694\) −11.9684 + 3.92559i −0.454313 + 0.149013i
\(695\) 0.486030 1.06426i 0.0184362 0.0403696i
\(696\) −1.92364 0.0939041i −0.0729155 0.00355942i
\(697\) 43.5921 + 12.7998i 1.65117 + 0.484827i
\(698\) −15.0578 9.02320i −0.569948 0.341533i
\(699\) 5.51867 2.52029i 0.208735 0.0953262i
\(700\) 8.93504 23.3325i 0.337713 0.881885i
\(701\) −9.31667 8.07294i −0.351886 0.304911i 0.460924 0.887439i \(-0.347518\pi\)
−0.812810 + 0.582529i \(0.802063\pi\)
\(702\) −2.14482 + 8.25301i −0.0809509 + 0.311490i
\(703\) −14.1886 + 4.16616i −0.535134 + 0.157130i
\(704\) 46.1627 2.09009i 1.73982 0.0787731i
\(705\) 0.552854 0.355298i 0.0208217 0.0133813i
\(706\) −6.70814 + 1.18011i −0.252464 + 0.0444141i
\(707\) −31.0528 + 4.46472i −1.16786 + 0.167913i
\(708\) 7.28880 + 13.6296i 0.273930 + 0.512232i
\(709\) −14.9934 2.15572i −0.563088 0.0809598i −0.145108 0.989416i \(-0.546353\pi\)
−0.417980 + 0.908456i \(0.637262\pi\)
\(710\) −0.388194 + 3.46841i −0.0145687 + 0.130167i
\(711\) 1.55564 + 1.79530i 0.0583409 + 0.0673290i
\(712\) −9.02143 + 46.5129i −0.338093 + 1.74315i
\(713\) 0.534012 1.29984i 0.0199989 0.0486793i
\(714\) 6.32545 + 12.7755i 0.236724 + 0.478110i
\(715\) 5.49825 4.76426i 0.205623 0.178173i
\(716\) −7.27628 20.0403i −0.271927 0.748942i
\(717\) −0.489097 0.0703216i −0.0182657 0.00262621i
\(718\) 0.0699399 + 2.23086i 0.00261013 + 0.0832549i
\(719\) 3.62904 + 25.2405i 0.135340 + 0.941313i 0.938434 + 0.345460i \(0.112277\pi\)
−0.803093 + 0.595853i \(0.796814\pi\)
\(720\) −0.835421 0.0145680i −0.0311343 0.000542917i
\(721\) 24.5703 15.7904i 0.915047 0.588065i
\(722\) −31.4386 25.5617i −1.17002 0.951307i
\(723\) 4.69211 + 15.9799i 0.174502 + 0.594298i
\(724\) 26.9771 5.62264i 1.00259 0.208964i
\(725\) 2.55057 + 2.21008i 0.0947259 + 0.0820804i
\(726\) 21.4514 + 23.2428i 0.796138 + 0.862621i
\(727\) 10.8370 + 23.7298i 0.401924 + 0.880090i 0.997072 + 0.0764737i \(0.0243661\pi\)
−0.595148 + 0.803616i \(0.702907\pi\)
\(728\) −39.9246 + 15.9289i −1.47971 + 0.590365i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) 2.78068 1.91275i 0.102918 0.0707941i
\(731\) 20.9013 + 9.54529i 0.773061 + 0.353045i
\(732\) −17.5274 17.8357i −0.647830 0.659225i
\(733\) −25.5647 + 39.7795i −0.944255 + 1.46929i −0.0622441 + 0.998061i \(0.519826\pi\)
−0.882011 + 0.471229i \(0.843811\pi\)
\(734\) −11.6943 4.90376i −0.431644 0.181001i
\(735\) −0.135193 −0.00498669
\(736\) −5.26464 26.6136i −0.194057 0.980990i
\(737\) −21.6374 −0.797024
\(738\) 14.8155 + 6.21259i 0.545367 + 0.228689i
\(739\) 3.49616 5.44013i 0.128608 0.200119i −0.770978 0.636862i \(-0.780232\pi\)
0.899586 + 0.436744i \(0.143868\pi\)
\(740\) 0.627290 + 0.638324i 0.0230596 + 0.0234653i
\(741\) 37.8610 + 17.2905i 1.39086 + 0.635184i
\(742\) 7.55371 5.19598i 0.277305 0.190750i
\(743\) 21.9447 + 6.44355i 0.805074 + 0.236391i 0.658277 0.752776i \(-0.271286\pi\)
0.146797 + 0.989167i \(0.453104\pi\)
\(744\) 0.769771 0.307119i 0.0282212 0.0112595i
\(745\) 0.191473 + 0.419267i 0.00701501 + 0.0153607i
\(746\) 3.32336 + 3.60089i 0.121677 + 0.131838i
\(747\) −10.8145 9.37080i −0.395681 0.342860i
\(748\) 45.2306 9.42710i 1.65379 0.344689i
\(749\) 3.52072 + 11.9905i 0.128644 + 0.438122i
\(750\) 2.28209 + 1.85549i 0.0833300 + 0.0677528i
\(751\) 32.9771 21.1931i 1.20335 0.773346i 0.223818 0.974631i \(-0.428148\pi\)
0.979533 + 0.201285i \(0.0645116\pi\)
\(752\) −0.219412 + 12.5825i −0.00800114 + 0.458836i
\(753\) −3.17007 22.0483i −0.115524 0.803485i
\(754\) −0.181945 5.80346i −0.00662605 0.211350i
\(755\) 4.96605 + 0.714010i 0.180733 + 0.0259855i
\(756\) 1.72039 + 4.73829i 0.0625699 + 0.172330i
\(757\) −20.6418 + 17.8862i −0.750240 + 0.650087i −0.943617 0.331038i \(-0.892601\pi\)
0.193378 + 0.981124i \(0.438056\pi\)
\(758\) −4.71412 9.52107i −0.171225 0.345821i
\(759\) 17.3196 21.6200i 0.628663 0.784758i
\(760\) −0.776562 + 4.00382i −0.0281689 + 0.145234i
\(761\) −11.6373 13.4302i −0.421852 0.486844i 0.504548 0.863384i \(-0.331659\pi\)
−0.926400 + 0.376540i \(0.877114\pi\)
\(762\) 1.36604 12.2052i 0.0494863 0.442147i
\(763\) −23.8911 3.43503i −0.864917 0.124356i
\(764\) 13.8990 + 25.9903i 0.502848 + 0.940295i
\(765\) −0.826910 + 0.118892i −0.0298970 + 0.00429854i
\(766\) 11.4285 2.01054i 0.412930 0.0726436i
\(767\) −39.2002 + 25.1924i −1.41544 + 0.909646i
\(768\) 9.11428 13.1503i 0.328883 0.474520i
\(769\) −3.69461 + 1.08484i −0.133231 + 0.0391202i −0.347668 0.937618i \(-0.613026\pi\)
0.214437 + 0.976738i \(0.431208\pi\)
\(770\) 1.08178 4.16258i 0.0389848 0.150009i
\(771\) 12.4969 + 10.8286i 0.450064 + 0.389983i
\(772\) 13.5957 35.5030i 0.489318 1.27778i
\(773\) 35.4864 16.2061i 1.27636 0.582894i