Properties

Label 552.2.t.b.451.10
Level $552$
Weight $2$
Character 552.451
Analytic conductor $4.408$
Analytic rank $0$
Dimension $240$
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.t (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 451.10
Character \(\chi\) \(=\) 552.451
Dual form 552.2.t.b.235.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.395410 - 1.35781i) q^{2} +(-0.654861 - 0.755750i) q^{3} +(-1.68730 + 1.07378i) q^{4} +(-0.236813 - 1.64707i) q^{5} +(-0.767227 + 1.18801i) q^{6} +(-1.60690 + 3.51862i) q^{7} +(2.12517 + 1.86645i) q^{8} +(-0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(q+(-0.395410 - 1.35781i) q^{2} +(-0.654861 - 0.755750i) q^{3} +(-1.68730 + 1.07378i) q^{4} +(-0.236813 - 1.64707i) q^{5} +(-0.767227 + 1.18801i) q^{6} +(-1.60690 + 3.51862i) q^{7} +(2.12517 + 1.86645i) q^{8} +(-0.142315 + 0.989821i) q^{9} +(-2.14278 + 0.972817i) q^{10} +(1.51637 - 5.16429i) q^{11} +(1.91646 + 0.571999i) q^{12} +(-4.93581 + 2.25411i) q^{13} +(5.41300 + 0.790569i) q^{14} +(-1.08970 + 1.25758i) q^{15} +(1.69398 - 3.62360i) q^{16} +(-3.45041 + 5.36895i) q^{17} +(1.40026 - 0.198149i) q^{18} +(4.29757 + 6.68715i) q^{19} +(2.16818 + 2.52482i) q^{20} +(3.71149 - 1.08979i) q^{21} +(-7.61171 - 0.0169359i) q^{22} +(2.68357 + 3.97473i) q^{23} +(0.0188794 - 2.82836i) q^{24} +(2.14069 - 0.628564i) q^{25} +(5.01233 + 5.81061i) q^{26} +(0.841254 - 0.540641i) q^{27} +(-1.06691 - 7.66243i) q^{28} +(-1.09187 + 1.69898i) q^{29} +(2.13843 + 0.982343i) q^{30} +(-0.0568213 - 0.0492360i) q^{31} +(-5.58997 - 0.867295i) q^{32} +(-4.89592 + 2.23589i) q^{33} +(8.65435 + 2.56207i) q^{34} +(6.17596 + 1.81342i) q^{35} +(-0.822726 - 1.82294i) q^{36} +(0.418616 - 2.91154i) q^{37} +(7.38059 - 8.47946i) q^{38} +(4.93581 + 2.25411i) q^{39} +(2.57092 - 3.94232i) q^{40} +(-0.237983 - 1.65521i) q^{41} +(-2.94729 - 4.60858i) q^{42} +(4.19080 - 3.63135i) q^{43} +(2.98675 + 10.3420i) q^{44} +1.66401 q^{45} +(4.33582 - 5.21542i) q^{46} -1.86139i q^{47} +(-3.84785 + 1.09273i) q^{48} +(-5.21451 - 6.01787i) q^{49} +(-1.69992 - 2.65812i) q^{50} +(6.31712 - 0.908265i) q^{51} +(5.90778 - 9.10336i) q^{52} +(-2.25578 + 4.93947i) q^{53} +(-1.06673 - 0.928489i) q^{54} +(-8.86506 - 1.27460i) q^{55} +(-9.98226 + 4.47846i) q^{56} +(2.23950 - 7.62704i) q^{57} +(2.73864 + 0.810759i) q^{58} +(2.71125 + 5.93680i) q^{59} +(0.488281 - 3.29201i) q^{60} +(-9.64080 + 11.1261i) q^{61} +(-0.0443854 + 0.0966210i) q^{62} +(-3.25412 - 2.09129i) q^{63} +(1.03271 + 7.93306i) q^{64} +(4.88155 + 7.59585i) q^{65} +(4.97181 + 5.76364i) q^{66} +(0.551624 + 1.87866i) q^{67} +(0.0567998 - 12.7640i) q^{68} +(1.24654 - 4.63100i) q^{69} +(0.0202536 - 9.10283i) q^{70} +(0.0205096 + 0.0698493i) q^{71} +(-2.14990 + 1.83792i) q^{72} +(-12.0495 + 7.74374i) q^{73} +(-4.11885 + 0.582850i) q^{74} +(-1.87689 - 1.20621i) q^{75} +(-14.4319 - 6.66859i) q^{76} +(15.7345 + 13.6340i) q^{77} +(1.10899 - 7.59320i) q^{78} +(3.56602 + 7.80849i) q^{79} +(-6.36949 - 1.93199i) q^{80} +(-0.959493 - 0.281733i) q^{81} +(-2.15336 + 0.977622i) q^{82} +(-9.65681 - 1.38844i) q^{83} +(-5.09220 + 5.82414i) q^{84} +(9.66016 + 4.41165i) q^{85} +(-6.58777 - 4.25444i) q^{86} +(1.99903 - 0.287417i) q^{87} +(12.8614 - 8.14476i) q^{88} +(0.591977 - 0.512951i) q^{89} +(-0.657966 - 2.25941i) q^{90} -20.9894i q^{91} +(-8.79599 - 3.82500i) q^{92} +0.0751854i q^{93} +(-2.52742 + 0.736014i) q^{94} +(9.99651 - 8.66203i) q^{95} +(3.00520 + 4.79258i) q^{96} +(-10.0705 + 1.44791i) q^{97} +(-6.10926 + 9.45985i) q^{98} +(4.89592 + 2.23589i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 4q^{2} - 24q^{3} - 4q^{4} - 7q^{6} + 4q^{8} - 24q^{9} + O(q^{10}) \) \( 240q + 4q^{2} - 24q^{3} - 4q^{4} - 7q^{6} + 4q^{8} - 24q^{9} - 4q^{12} - 4q^{16} - 44q^{17} + 4q^{18} + 55q^{20} + 4q^{24} - 24q^{25} - 24q^{27} + 4q^{32} - 55q^{34} + 7q^{36} + 22q^{38} + 11q^{40} - 44q^{42} + 77q^{44} - 48q^{46} + 51q^{48} + 8q^{49} - 33q^{50} + 165q^{52} - 7q^{54} - 22q^{56} - 59q^{58} + 11q^{60} + 29q^{62} - 4q^{64} + 55q^{66} + 132q^{70} + 4q^{72} - 144q^{73} - 66q^{74} - 24q^{75} - 55q^{76} - 24q^{81} - 26q^{82} - 44q^{84} - 110q^{86} - 198q^{88} - 47q^{92} - 73q^{94} + 4q^{96} + 53q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{21}{22}\right)\) \(1\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.395410 1.35781i −0.279597 0.960117i
\(3\) −0.654861 0.755750i −0.378084 0.436332i
\(4\) −1.68730 + 1.07378i −0.843651 + 0.536892i
\(5\) −0.236813 1.64707i −0.105906 0.736594i −0.971704 0.236200i \(-0.924098\pi\)
0.865798 0.500393i \(-0.166811\pi\)
\(6\) −0.767227 + 1.18801i −0.313219 + 0.485002i
\(7\) −1.60690 + 3.51862i −0.607350 + 1.32991i 0.317021 + 0.948418i \(0.397317\pi\)
−0.924372 + 0.381493i \(0.875410\pi\)
\(8\) 2.12517 + 1.86645i 0.751362 + 0.659891i
\(9\) −0.142315 + 0.989821i −0.0474383 + 0.329940i
\(10\) −2.14278 + 0.972817i −0.677606 + 0.307632i
\(11\) 1.51637 5.16429i 0.457203 1.55709i −0.332196 0.943210i \(-0.607789\pi\)
0.789399 0.613881i \(-0.210392\pi\)
\(12\) 1.91646 + 0.571999i 0.553234 + 0.165122i
\(13\) −4.93581 + 2.25411i −1.36895 + 0.625178i −0.958076 0.286515i \(-0.907503\pi\)
−0.410873 + 0.911693i \(0.634776\pi\)
\(14\) 5.41300 + 0.790569i 1.44668 + 0.211288i
\(15\) −1.08970 + 1.25758i −0.281358 + 0.324705i
\(16\) 1.69398 3.62360i 0.423494 0.905899i
\(17\) −3.45041 + 5.36895i −0.836848 + 1.30216i 0.114306 + 0.993446i \(0.463536\pi\)
−0.951154 + 0.308716i \(0.900101\pi\)
\(18\) 1.40026 0.198149i 0.330045 0.0467041i
\(19\) 4.29757 + 6.68715i 0.985931 + 1.53414i 0.838382 + 0.545084i \(0.183502\pi\)
0.147549 + 0.989055i \(0.452861\pi\)
\(20\) 2.16818 + 2.52482i 0.484819 + 0.564568i
\(21\) 3.71149 1.08979i 0.809913 0.237812i
\(22\) −7.61171 0.0169359i −1.62282 0.00361075i
\(23\) 2.68357 + 3.97473i 0.559562 + 0.828788i
\(24\) 0.0188794 2.82836i 0.00385375 0.577337i
\(25\) 2.14069 0.628564i 0.428139 0.125713i
\(26\) 5.01233 + 5.81061i 0.982998 + 1.13955i
\(27\) 0.841254 0.540641i 0.161899 0.104046i
\(28\) −1.06691 7.66243i −0.201627 1.44806i
\(29\) −1.09187 + 1.69898i −0.202755 + 0.315493i −0.927709 0.373304i \(-0.878225\pi\)
0.724954 + 0.688798i \(0.241861\pi\)
\(30\) 2.13843 + 0.982343i 0.390421 + 0.179350i
\(31\) −0.0568213 0.0492360i −0.0102054 0.00884304i 0.649743 0.760154i \(-0.274876\pi\)
−0.659949 + 0.751311i \(0.729422\pi\)
\(32\) −5.58997 0.867295i −0.988177 0.153317i
\(33\) −4.89592 + 2.23589i −0.852270 + 0.389219i
\(34\) 8.65435 + 2.56207i 1.48421 + 0.439392i
\(35\) 6.17596 + 1.81342i 1.04393 + 0.306525i
\(36\) −0.822726 1.82294i −0.137121 0.303824i
\(37\) 0.418616 2.91154i 0.0688201 0.478654i −0.926042 0.377419i \(-0.876812\pi\)
0.994863 0.101235i \(-0.0322794\pi\)
\(38\) 7.38059 8.47946i 1.19729 1.37555i
\(39\) 4.93581 + 2.25411i 0.790363 + 0.360947i
\(40\) 2.57092 3.94232i 0.406498 0.623335i
\(41\) −0.237983 1.65521i −0.0371667 0.258500i 0.962763 0.270346i \(-0.0871382\pi\)
−0.999930 + 0.0118463i \(0.996229\pi\)
\(42\) −2.94729 4.60858i −0.454777 0.711120i
\(43\) 4.19080 3.63135i 0.639091 0.553775i −0.273899 0.961759i \(-0.588313\pi\)
0.912989 + 0.407983i \(0.133768\pi\)
\(44\) 2.98675 + 10.3420i 0.450270 + 1.55911i
\(45\) 1.66401 0.248056
\(46\) 4.33582 5.21542i 0.639282 0.768972i
\(47\) 1.86139i 0.271512i −0.990742 0.135756i \(-0.956654\pi\)
0.990742 0.135756i \(-0.0433464\pi\)
\(48\) −3.84785 + 1.09273i −0.555389 + 0.157722i
\(49\) −5.21451 6.01787i −0.744930 0.859695i
\(50\) −1.69992 2.65812i −0.240405 0.375914i
\(51\) 6.31712 0.908265i 0.884574 0.127183i
\(52\) 5.90778 9.10336i 0.819262 1.26241i
\(53\) −2.25578 + 4.93947i −0.309855 + 0.678489i −0.998932 0.0461996i \(-0.985289\pi\)
0.689077 + 0.724688i \(0.258016\pi\)
\(54\) −1.06673 0.928489i −0.145163 0.126351i
\(55\) −8.86506 1.27460i −1.19536 0.171867i
\(56\) −9.98226 + 4.47846i −1.33394 + 0.598460i
\(57\) 2.23950 7.62704i 0.296629 1.01023i
\(58\) 2.73864 + 0.810759i 0.359601 + 0.106458i
\(59\) 2.71125 + 5.93680i 0.352974 + 0.772906i 0.999946 + 0.0103917i \(0.00330785\pi\)
−0.646972 + 0.762514i \(0.723965\pi\)
\(60\) 0.488281 3.29201i 0.0630368 0.424996i
\(61\) −9.64080 + 11.1261i −1.23438 + 1.42455i −0.364557 + 0.931181i \(0.618779\pi\)
−0.869821 + 0.493367i \(0.835766\pi\)
\(62\) −0.0443854 + 0.0966210i −0.00563695 + 0.0122709i
\(63\) −3.25412 2.09129i −0.409980 0.263478i
\(64\) 1.03271 + 7.93306i 0.129089 + 0.991633i
\(65\) 4.88155 + 7.59585i 0.605482 + 0.942149i
\(66\) 4.97181 + 5.76364i 0.611988 + 0.709455i
\(67\) 0.551624 + 1.87866i 0.0673916 + 0.229515i 0.986301 0.164953i \(-0.0527472\pi\)
−0.918910 + 0.394468i \(0.870929\pi\)
\(68\) 0.0567998 12.7640i 0.00688799 1.54787i
\(69\) 1.24654 4.63100i 0.150065 0.557507i
\(70\) 0.0202536 9.10283i 0.00242077 1.08800i
\(71\) 0.0205096 + 0.0698493i 0.00243404 + 0.00828958i 0.960701 0.277585i \(-0.0895341\pi\)
−0.958267 + 0.285875i \(0.907716\pi\)
\(72\) −2.14990 + 1.83792i −0.253368 + 0.216601i
\(73\) −12.0495 + 7.74374i −1.41029 + 0.906336i −0.999984 0.00561372i \(-0.998213\pi\)
−0.410302 + 0.911950i \(0.634577\pi\)
\(74\) −4.11885 + 0.582850i −0.478806 + 0.0677549i
\(75\) −1.87689 1.20621i −0.216725 0.139281i
\(76\) −14.4319 6.66859i −1.65545 0.764939i
\(77\) 15.7345 + 13.6340i 1.79311 + 1.55374i
\(78\) 1.10899 7.59320i 0.125568 0.859761i
\(79\) 3.56602 + 7.80849i 0.401208 + 0.878524i 0.997146 + 0.0754934i \(0.0240532\pi\)
−0.595938 + 0.803031i \(0.703220\pi\)
\(80\) −6.36949 1.93199i −0.712130 0.216003i
\(81\) −0.959493 0.281733i −0.106610 0.0313036i
\(82\) −2.15336 + 0.977622i −0.237799 + 0.107960i
\(83\) −9.65681 1.38844i −1.05997 0.152401i −0.409791 0.912180i \(-0.634398\pi\)
−0.650182 + 0.759778i \(0.725307\pi\)
\(84\) −5.09220 + 5.82414i −0.555605 + 0.635466i
\(85\) 9.66016 + 4.41165i 1.04779 + 0.478510i
\(86\) −6.58777 4.25444i −0.710377 0.458768i
\(87\) 1.99903 0.287417i 0.214318 0.0308143i
\(88\) 12.8614 8.14476i 1.37103 0.868234i
\(89\) 0.591977 0.512951i 0.0627494 0.0543727i −0.622921 0.782284i \(-0.714054\pi\)
0.685671 + 0.727912i \(0.259509\pi\)
\(90\) −0.657966 2.25941i −0.0693558 0.238163i
\(91\) 20.9894i 2.20028i
\(92\) −8.79599 3.82500i −0.917045 0.398783i
\(93\) 0.0751854i 0.00779636i
\(94\) −2.52742 + 0.736014i −0.260684 + 0.0759140i
\(95\) 9.99651 8.66203i 1.02562 0.888705i
\(96\) 3.00520 + 4.79258i 0.306717 + 0.489140i
\(97\) −10.0705 + 1.44791i −1.02250 + 0.147013i −0.633112 0.774060i \(-0.718223\pi\)
−0.389388 + 0.921074i \(0.627314\pi\)
\(98\) −6.10926 + 9.45985i −0.617128 + 0.955589i
\(99\) 4.89592 + 2.23589i 0.492058 + 0.224716i
\(100\) −2.93705 + 3.35922i −0.293705 + 0.335922i
\(101\) 7.17779 + 1.03201i 0.714217 + 0.102689i 0.489838 0.871813i \(-0.337056\pi\)
0.224378 + 0.974502i \(0.427965\pi\)
\(102\) −3.73110 8.21832i −0.369434 0.813735i
\(103\) −2.71079 0.795961i −0.267102 0.0784284i 0.145439 0.989367i \(-0.453541\pi\)
−0.412541 + 0.910939i \(0.635359\pi\)
\(104\) −14.6966 4.42209i −1.44112 0.433622i
\(105\) −2.67390 5.85502i −0.260946 0.571391i
\(106\) 7.59883 + 1.10981i 0.738063 + 0.107794i
\(107\) −0.449725 0.389689i −0.0434765 0.0376726i 0.632852 0.774273i \(-0.281884\pi\)
−0.676328 + 0.736601i \(0.736430\pi\)
\(108\) −0.838917 + 1.81555i −0.0807249 + 0.174701i
\(109\) 3.62845 + 2.33187i 0.347543 + 0.223352i 0.702752 0.711434i \(-0.251954\pi\)
−0.355210 + 0.934787i \(0.615591\pi\)
\(110\) 1.77466 + 12.5411i 0.169207 + 1.19574i
\(111\) −2.47453 + 1.59028i −0.234872 + 0.150943i
\(112\) 10.0280 + 11.7832i 0.947556 + 1.11341i
\(113\) 3.18938 + 10.8620i 0.300032 + 1.02181i 0.962174 + 0.272436i \(0.0878292\pi\)
−0.662143 + 0.749378i \(0.730353\pi\)
\(114\) −11.2416 0.0250124i −1.05287 0.00234262i
\(115\) 5.91117 5.36130i 0.551219 0.499944i
\(116\) 0.0179741 4.03913i 0.00166885 0.375024i
\(117\) −1.52873 5.20637i −0.141331 0.481329i
\(118\) 6.98900 6.02883i 0.643390 0.554999i
\(119\) −13.3468 20.7680i −1.22350 1.90380i
\(120\) −4.66300 + 0.638699i −0.425671 + 0.0583050i
\(121\) −15.1167 9.71490i −1.37424 0.883173i
\(122\) 18.9192 + 8.69103i 1.71286 + 0.786848i
\(123\) −1.09508 + 1.26379i −0.0987398 + 0.113952i
\(124\) 0.148744 + 0.0220621i 0.0133576 + 0.00198124i
\(125\) −4.99851 10.9452i −0.447081 0.978970i
\(126\) −1.55287 + 5.24539i −0.138341 + 0.467297i
\(127\) −1.16225 + 3.95826i −0.103133 + 0.351239i −0.994850 0.101354i \(-0.967683\pi\)
0.891717 + 0.452593i \(0.149501\pi\)
\(128\) 10.3633 4.53904i 0.915991 0.401198i
\(129\) −5.48878 0.789167i −0.483260 0.0694823i
\(130\) 8.38351 9.63170i 0.735282 0.844756i
\(131\) −3.11363 + 6.81789i −0.272039 + 0.595682i −0.995508 0.0946743i \(-0.969819\pi\)
0.723469 + 0.690356i \(0.242546\pi\)
\(132\) 5.86003 9.02978i 0.510050 0.785942i
\(133\) −30.4353 + 4.37593i −2.63907 + 0.379442i
\(134\) 2.33275 1.49184i 0.201519 0.128876i
\(135\) −1.08970 1.25758i −0.0937861 0.108235i
\(136\) −17.3536 + 4.96990i −1.48806 + 0.426166i
\(137\) 4.09470i 0.349834i 0.984583 + 0.174917i \(0.0559657\pi\)
−0.984583 + 0.174917i \(0.944034\pi\)
\(138\) −6.78091 + 0.138581i −0.577230 + 0.0117968i
\(139\) 10.5804 0.897416 0.448708 0.893679i \(-0.351884\pi\)
0.448708 + 0.893679i \(0.351884\pi\)
\(140\) −12.3679 + 3.57185i −1.04528 + 0.301876i
\(141\) −1.40675 + 1.21895i −0.118470 + 0.102654i
\(142\) 0.0867324 0.0554673i 0.00727842 0.00465471i
\(143\) 4.15635 + 28.9080i 0.347571 + 2.41741i
\(144\) 3.34563 + 2.19243i 0.278803 + 0.182702i
\(145\) 3.05692 + 1.39605i 0.253864 + 0.115936i
\(146\) 15.2790 + 13.2990i 1.26450 + 1.10063i
\(147\) −1.13322 + 7.88173i −0.0934666 + 0.650074i
\(148\) 2.42003 + 5.36215i 0.198926 + 0.440766i
\(149\) −19.1628 5.62670i −1.56988 0.460957i −0.622911 0.782293i \(-0.714050\pi\)
−0.946965 + 0.321336i \(0.895868\pi\)
\(150\) −0.895658 + 3.02541i −0.0731301 + 0.247024i
\(151\) 3.33894 1.52484i 0.271719 0.124090i −0.274896 0.961474i \(-0.588643\pi\)
0.546615 + 0.837384i \(0.315916\pi\)
\(152\) −3.34818 + 22.2326i −0.271573 + 1.80330i
\(153\) −4.82326 4.17937i −0.389937 0.337882i
\(154\) 12.2908 26.7555i 0.990424 2.15602i
\(155\) −0.0676392 + 0.105249i −0.00543291 + 0.00845378i
\(156\) −10.7486 + 1.49663i −0.860580 + 0.119826i
\(157\) 8.61525 5.53669i 0.687572 0.441876i −0.149650 0.988739i \(-0.547815\pi\)
0.837222 + 0.546863i \(0.184178\pi\)
\(158\) 9.19242 7.92953i 0.731309 0.630840i
\(159\) 5.21023 1.52986i 0.413198 0.121326i
\(160\) −0.104717 + 9.41249i −0.00827862 + 0.744122i
\(161\) −18.2978 + 3.05546i −1.44207 + 0.240804i
\(162\) −0.00314659 + 1.41421i −0.000247220 + 0.111111i
\(163\) −19.8541 + 5.82969i −1.55509 + 0.456616i −0.942618 0.333874i \(-0.891644\pi\)
−0.612474 + 0.790490i \(0.709826\pi\)
\(164\) 2.17888 + 2.53729i 0.170142 + 0.198129i
\(165\) 4.84210 + 7.53445i 0.376957 + 0.586556i
\(166\) 1.93316 + 13.6611i 0.150042 + 1.06031i
\(167\) −9.47288 + 14.7401i −0.733034 + 1.14062i 0.251911 + 0.967750i \(0.418941\pi\)
−0.984944 + 0.172872i \(0.944695\pi\)
\(168\) 9.92159 + 4.61132i 0.765467 + 0.355771i
\(169\) 10.7681 12.4270i 0.828312 0.955923i
\(170\) 2.17046 14.8611i 0.166467 1.13979i
\(171\) −7.23070 + 3.30215i −0.552945 + 0.252522i
\(172\) −3.17186 + 10.6272i −0.241852 + 0.810316i
\(173\) 5.36192 18.2610i 0.407659 1.38836i −0.458546 0.888671i \(-0.651629\pi\)
0.866205 0.499689i \(-0.166552\pi\)
\(174\) −1.18069 2.60066i −0.0895082 0.197155i
\(175\) −1.22820 + 8.54232i −0.0928432 + 0.645738i
\(176\) −16.1446 14.2429i −1.21694 1.07360i
\(177\) 2.71125 5.93680i 0.203790 0.446237i
\(178\) −0.930563 0.600967i −0.0697487 0.0450444i
\(179\) −1.18295 8.22763i −0.0884181 0.614962i −0.985061 0.172207i \(-0.944910\pi\)
0.896643 0.442755i \(-0.145999\pi\)
\(180\) −2.80769 + 1.78679i −0.209273 + 0.133179i
\(181\) −8.70793 10.0495i −0.647255 0.746972i 0.333385 0.942791i \(-0.391809\pi\)
−0.980640 + 0.195818i \(0.937264\pi\)
\(182\) −28.4996 + 8.29940i −2.11253 + 0.615193i
\(183\) 14.7219 1.08827
\(184\) −1.71560 + 13.4557i −0.126476 + 0.991970i
\(185\) −4.89466 −0.359862
\(186\) 0.102088 0.0297290i 0.00748542 0.00217984i
\(187\) 22.4947 + 25.9602i 1.64497 + 1.89840i
\(188\) 1.99874 + 3.14074i 0.145773 + 0.229062i
\(189\) 0.550499 + 3.82880i 0.0400429 + 0.278504i
\(190\) −15.7141 10.1483i −1.14002 0.736237i
\(191\) 9.65626 21.1442i 0.698702 1.52994i −0.142836 0.989746i \(-0.545622\pi\)
0.841538 0.540198i \(-0.181651\pi\)
\(192\) 5.31913 5.97552i 0.383875 0.431246i
\(193\) 0.608528 4.23240i 0.0438028 0.304655i −0.956129 0.292947i \(-0.905364\pi\)
0.999931 0.0117081i \(-0.00372688\pi\)
\(194\) 5.94795 + 13.1013i 0.427038 + 0.940616i
\(195\) 2.54382 8.66345i 0.182167 0.620403i
\(196\) 15.2603 + 4.55470i 1.09002 + 0.325336i
\(197\) 5.63742 2.57452i 0.401649 0.183427i −0.204340 0.978900i \(-0.565505\pi\)
0.605989 + 0.795473i \(0.292777\pi\)
\(198\) 1.10002 7.53183i 0.0781753 0.535264i
\(199\) 9.68317 11.1750i 0.686421 0.792173i −0.300430 0.953804i \(-0.597130\pi\)
0.986851 + 0.161631i \(0.0516756\pi\)
\(200\) 5.72253 + 2.65970i 0.404644 + 0.188069i
\(201\) 1.05856 1.64715i 0.0746650 0.116181i
\(202\) −1.43689 10.1542i −0.101100 0.714444i
\(203\) −4.22355 6.57197i −0.296435 0.461262i
\(204\) −9.68361 + 8.31574i −0.677988 + 0.582218i
\(205\) −2.66989 + 0.783951i −0.186473 + 0.0547535i
\(206\) −0.00888986 + 3.99548i −0.000619386 + 0.278378i
\(207\) −4.31618 + 2.09059i −0.299995 + 0.145306i
\(208\) −0.193167 + 21.7038i −0.0133937 + 1.50489i
\(209\) 41.0511 12.0537i 2.83956 0.833771i
\(210\) −6.89272 + 5.94578i −0.475643 + 0.410298i
\(211\) −8.45806 + 5.43567i −0.582277 + 0.374207i −0.798371 0.602166i \(-0.794305\pi\)
0.216094 + 0.976373i \(0.430668\pi\)
\(212\) −1.49774 10.7566i −0.102865 0.738767i
\(213\) 0.0393576 0.0612417i 0.00269674 0.00419621i
\(214\) −0.351298 + 0.764728i −0.0240142 + 0.0522757i
\(215\) −6.97354 6.04260i −0.475591 0.412102i
\(216\) 2.79689 + 0.421205i 0.190304 + 0.0286594i
\(217\) 0.264549 0.120815i 0.0179587 0.00820147i
\(218\) 1.73151 5.84880i 0.117272 0.396131i
\(219\) 13.7431 + 4.03533i 0.928670 + 0.272682i
\(220\) 16.3267 7.36852i 1.10074 0.496785i
\(221\) 4.92840 34.2777i 0.331520 2.30577i
\(222\) 3.13776 + 2.73113i 0.210593 + 0.183302i
\(223\) 8.43710 + 3.85310i 0.564990 + 0.258022i 0.677369 0.735643i \(-0.263120\pi\)
−0.112379 + 0.993665i \(0.535847\pi\)
\(224\) 12.0342 18.2753i 0.804068 1.22107i
\(225\) 0.317514 + 2.20836i 0.0211676 + 0.147224i
\(226\) 13.4875 8.62553i 0.897173 0.573762i
\(227\) 18.4104 15.9527i 1.22194 1.05882i 0.225527 0.974237i \(-0.427590\pi\)
0.996416 0.0845834i \(-0.0269559\pi\)
\(228\) 4.41108 + 15.2739i 0.292131 + 1.01154i
\(229\) 14.7255 0.973089 0.486545 0.873656i \(-0.338257\pi\)
0.486545 + 0.873656i \(0.338257\pi\)
\(230\) −9.61697 5.90634i −0.634124 0.389452i
\(231\) 20.8197i 1.36984i
\(232\) −5.49149 + 1.57271i −0.360534 + 0.103253i
\(233\) −1.30276 1.50347i −0.0853469 0.0984955i 0.711470 0.702717i \(-0.248030\pi\)
−0.796817 + 0.604221i \(0.793484\pi\)
\(234\) −6.46479 + 4.13437i −0.422617 + 0.270272i
\(235\) −3.06585 + 0.440803i −0.199994 + 0.0287548i
\(236\) −10.9495 7.10588i −0.712754 0.462554i
\(237\) 3.56602 7.80849i 0.231638 0.507216i
\(238\) −22.9216 + 26.3343i −1.48579 + 1.70700i
\(239\) 7.87732 + 1.13259i 0.509542 + 0.0732610i 0.392291 0.919841i \(-0.371683\pi\)
0.117251 + 0.993102i \(0.462592\pi\)
\(240\) 2.71103 + 6.07892i 0.174996 + 0.392393i
\(241\) −4.97602 + 16.9468i −0.320534 + 1.09164i 0.628852 + 0.777525i \(0.283525\pi\)
−0.949386 + 0.314113i \(0.898293\pi\)
\(242\) −7.21372 + 24.3670i −0.463715 + 1.56637i
\(243\) 0.415415 + 0.909632i 0.0266489 + 0.0583529i
\(244\) 4.31994 29.1252i 0.276556 1.86455i
\(245\) −8.67701 + 10.0138i −0.554354 + 0.639758i
\(246\) 2.14899 + 0.987194i 0.137014 + 0.0629412i
\(247\) −36.2856 23.3193i −2.30880 1.48377i
\(248\) −0.0288585 0.210689i −0.00183252 0.0133788i
\(249\) 5.27455 + 8.20737i 0.334261 + 0.520121i
\(250\) −12.8851 + 11.1149i −0.814924 + 0.702967i
\(251\) −1.06509 3.62737i −0.0672281 0.228958i 0.919025 0.394199i \(-0.128978\pi\)
−0.986253 + 0.165241i \(0.947160\pi\)
\(252\) 7.73627 + 0.0344263i 0.487339 + 0.00216865i
\(253\) 24.5959 7.83154i 1.54633 0.492365i
\(254\) 5.83414 + 0.0129809i 0.366066 + 0.000814491i
\(255\) −2.99196 10.1897i −0.187364 0.638102i
\(256\) −10.2609 12.2766i −0.641305 0.767286i
\(257\) −10.7387 + 6.90135i −0.669862 + 0.430494i −0.830876 0.556458i \(-0.812160\pi\)
0.161014 + 0.986952i \(0.448524\pi\)
\(258\) 1.09878 + 7.76477i 0.0684069 + 0.483413i
\(259\) 9.57192 + 6.15150i 0.594770 + 0.382236i
\(260\) −16.3930 7.57475i −1.01665 0.469766i
\(261\) −1.52630 1.32255i −0.0944757 0.0818636i
\(262\) 10.4886 + 1.53186i 0.647986 + 0.0946384i
\(263\) 6.69470 + 14.6593i 0.412813 + 0.903934i 0.995809 + 0.0914591i \(0.0291531\pi\)
−0.582996 + 0.812475i \(0.698120\pi\)
\(264\) −14.5779 4.38635i −0.897205 0.269961i
\(265\) 8.66987 + 2.54570i 0.532586 + 0.156381i
\(266\) 17.9761 + 39.5951i 1.10219 + 2.42773i
\(267\) −0.775324 0.111475i −0.0474491 0.00682215i
\(268\) −2.94803 2.57754i −0.180080 0.157448i
\(269\) 5.99155 + 2.73625i 0.365311 + 0.166832i 0.589609 0.807688i \(-0.299282\pi\)
−0.224298 + 0.974521i \(0.572009\pi\)
\(270\) −1.27667 + 1.97686i −0.0776959 + 0.120308i
\(271\) −18.0835 + 2.60002i −1.09850 + 0.157940i −0.667643 0.744482i \(-0.732697\pi\)
−0.430854 + 0.902422i \(0.641788\pi\)
\(272\) 13.6100 + 21.5978i 0.825226 + 1.30956i
\(273\) −15.8627 + 13.7451i −0.960054 + 0.831892i
\(274\) 5.55983 1.61909i 0.335882 0.0978125i
\(275\) 12.0083i 0.724127i
\(276\) 2.86941 + 9.15240i 0.172718 + 0.550910i
\(277\) 8.48304i 0.509696i −0.966981 0.254848i \(-0.917975\pi\)
0.966981 0.254848i \(-0.0820255\pi\)
\(278\) −4.18358 14.3661i −0.250915 0.861624i
\(279\) 0.0568213 0.0492360i 0.00340180 0.00294768i
\(280\) 9.74029 + 15.3810i 0.582094 + 0.919189i
\(281\) 7.86133 1.13029i 0.468967 0.0674273i 0.0962198 0.995360i \(-0.469325\pi\)
0.372748 + 0.927933i \(0.378416\pi\)
\(282\) 2.21135 + 1.42811i 0.131684 + 0.0850428i
\(283\) 24.9735 + 11.4050i 1.48452 + 0.677958i 0.982391 0.186834i \(-0.0598227\pi\)
0.502130 + 0.864792i \(0.332550\pi\)
\(284\) −0.109609 0.0958339i −0.00650409 0.00568670i
\(285\) −13.0926 1.88244i −0.775542 0.111506i
\(286\) 37.6082 17.0741i 2.22382 1.00961i
\(287\) 6.20646 + 1.82238i 0.366355 + 0.107572i
\(288\) 1.65400 5.40965i 0.0974631 0.318766i
\(289\) −9.85820 21.5864i −0.579894 1.26979i
\(290\) 0.686834 4.70273i 0.0403323 0.276154i
\(291\) 7.68901 + 6.66256i 0.450738 + 0.390566i
\(292\) 12.0160 26.0046i 0.703185 1.52180i
\(293\) 4.74244 + 3.04778i 0.277056 + 0.178053i 0.671789 0.740743i \(-0.265526\pi\)
−0.394732 + 0.918796i \(0.629163\pi\)
\(294\) 11.1500 1.57781i 0.650281 0.0920199i
\(295\) 9.13629 5.87154i 0.531935 0.341854i
\(296\) 6.32389 5.40620i 0.367568 0.314229i
\(297\) −1.51637 5.16429i −0.0879888 0.299662i
\(298\) −0.0628430 + 28.2443i −0.00364040 + 1.63615i
\(299\) −22.2051 13.5695i −1.28415 0.784742i
\(300\) 4.46209 + 0.0198562i 0.257619 + 0.00114640i
\(301\) 6.04313 + 20.5810i 0.348320 + 1.18627i
\(302\) −3.39070 3.93072i −0.195113 0.226187i
\(303\) −3.92051 6.10044i −0.225228 0.350461i
\(304\) 31.5115 4.24479i 1.80731 0.243455i
\(305\) 20.6085 + 13.2443i 1.18004 + 0.758367i
\(306\) −3.76764 + 8.20164i −0.215382 + 0.468856i
\(307\) −13.6377 + 15.7388i −0.778346 + 0.898259i −0.996989 0.0775460i \(-0.975292\pi\)
0.218643 + 0.975805i \(0.429837\pi\)
\(308\) −41.1888 6.10926i −2.34695 0.348107i
\(309\) 1.17365 + 2.56992i 0.0667664 + 0.146198i
\(310\) 0.169653 + 0.0502249i 0.00963564 + 0.00285258i
\(311\) −0.771521 + 2.62756i −0.0437489 + 0.148995i −0.978471 0.206384i \(-0.933830\pi\)
0.934722 + 0.355380i \(0.115648\pi\)
\(312\) 6.28226 + 14.0028i 0.355663 + 0.792754i
\(313\) 25.6208 + 3.68372i 1.44818 + 0.208216i 0.821119 0.570758i \(-0.193350\pi\)
0.627057 + 0.778974i \(0.284259\pi\)
\(314\) −10.9243 9.50862i −0.616495 0.536603i
\(315\) −2.67390 + 5.85502i −0.150657 + 0.329893i
\(316\) −14.4016 9.34615i −0.810152 0.525762i
\(317\) 5.01386 0.720884i 0.281607 0.0404889i −6.43182e−5 1.00000i \(-0.500020\pi\)
0.281671 + 0.959511i \(0.409111\pi\)
\(318\) −4.13744 6.46958i −0.232016 0.362796i
\(319\) 7.11836 + 8.21502i 0.398552 + 0.459953i
\(320\) 12.8218 3.57960i 0.716760 0.200106i
\(321\) 0.595071i 0.0332136i
\(322\) 11.3839 + 23.6367i 0.634397 + 1.31722i
\(323\) −50.7314 −2.82277
\(324\) 1.92147 0.554920i 0.106749 0.0308289i
\(325\) −9.14921 + 7.92784i −0.507507 + 0.439757i
\(326\) 15.7661 + 24.6530i 0.873204 + 1.36540i
\(327\) −0.613825 4.26925i −0.0339446 0.236090i
\(328\) 2.58361 3.96178i 0.142656 0.218753i
\(329\) 6.54953 + 2.99107i 0.361087 + 0.164903i
\(330\) 8.31575 9.55385i 0.457767 0.525922i
\(331\) 1.95861 13.6224i 0.107655 0.748755i −0.862463 0.506120i \(-0.831079\pi\)
0.970118 0.242635i \(-0.0780117\pi\)
\(332\) 17.7848 8.02661i 0.976070 0.440518i
\(333\) 2.82233 + 0.828711i 0.154663 + 0.0454131i
\(334\) 23.7599 + 7.03401i 1.30009 + 0.384884i
\(335\) 2.96366 1.35346i 0.161922 0.0739473i
\(336\) 2.33821 15.2950i 0.127560 0.834411i
\(337\) 7.00882 + 6.07318i 0.381795 + 0.330827i 0.824523 0.565829i \(-0.191444\pi\)
−0.442728 + 0.896656i \(0.645989\pi\)
\(338\) −21.1313 9.70723i −1.14939 0.528004i
\(339\) 6.12037 9.52349i 0.332413 0.517245i
\(340\) −21.0368 + 2.92914i −1.14088 + 0.158855i
\(341\) −0.340431 + 0.218782i −0.0184354 + 0.0118477i
\(342\) 7.34278 + 8.51222i 0.397052 + 0.460288i
\(343\) 3.57335 1.04923i 0.192943 0.0566530i
\(344\) 15.6839 + 0.104691i 0.845619 + 0.00564454i
\(345\) −7.92279 0.956455i −0.426549 0.0514938i
\(346\) −26.9152 0.0598858i −1.44697 0.00321948i
\(347\) −10.6884 + 3.13841i −0.573785 + 0.168479i −0.555736 0.831359i \(-0.687564\pi\)
−0.0180488 + 0.999837i \(0.505745\pi\)
\(348\) −3.06434 + 2.63149i −0.164266 + 0.141062i
\(349\) −13.3496 20.7725i −0.714590 1.11192i −0.988654 0.150212i \(-0.952004\pi\)
0.274064 0.961712i \(-0.411632\pi\)
\(350\) 12.0845 1.71005i 0.645943 0.0914062i
\(351\) −2.93361 + 4.56478i −0.156584 + 0.243650i
\(352\) −12.9554 + 27.5531i −0.690527 + 1.46858i
\(353\) −4.71914 + 5.44618i −0.251174 + 0.289871i −0.867309 0.497770i \(-0.834152\pi\)
0.616135 + 0.787641i \(0.288698\pi\)
\(354\) −9.13311 1.33389i −0.485419 0.0708955i
\(355\) 0.110190 0.0503221i 0.00584828 0.00267082i
\(356\) −0.448045 + 1.50116i −0.0237463 + 0.0795612i
\(357\) −6.95513 + 23.6870i −0.368105 + 1.25365i
\(358\) −10.7038 + 4.85951i −0.565714 + 0.256833i
\(359\) 2.46422 17.1390i 0.130057 0.904563i −0.815419 0.578871i \(-0.803494\pi\)
0.945476 0.325692i \(-0.105597\pi\)
\(360\) 3.53631 + 3.10580i 0.186380 + 0.163690i
\(361\) −18.3560 + 40.1941i −0.966106 + 2.11548i
\(362\) −10.2021 + 15.7974i −0.536211 + 0.830292i
\(363\) 2.55729 + 17.7863i 0.134223 + 0.933540i
\(364\) 22.5380 + 35.4154i 1.18131 + 1.85627i
\(365\) 15.6080 + 18.0126i 0.816960 + 0.942822i
\(366\) −5.82119 19.9896i −0.304278 1.04487i
\(367\) 19.6998 1.02832 0.514162 0.857693i \(-0.328103\pi\)
0.514162 + 0.857693i \(0.328103\pi\)
\(368\) 18.9487 2.99107i 0.987770 0.155920i
\(369\) 1.67223 0.0870528
\(370\) 1.93540 + 6.64602i 0.100616 + 0.345510i
\(371\) −13.7553 15.8745i −0.714139 0.824161i
\(372\) −0.0807329 0.126860i −0.00418580 0.00657741i
\(373\) 0.438466 + 3.04960i 0.0227029 + 0.157902i 0.998019 0.0629103i \(-0.0200382\pi\)
−0.975316 + 0.220813i \(0.929129\pi\)
\(374\) 26.3545 40.8085i 1.36276 2.11016i
\(375\) −4.99851 + 10.9452i −0.258122 + 0.565209i
\(376\) 3.47421 3.95578i 0.179168 0.204004i
\(377\) 1.55957 10.8471i 0.0803221 0.558652i
\(378\) 4.98112 2.26142i 0.256201 0.116315i
\(379\) −4.22555 + 14.3909i −0.217052 + 0.739210i 0.776923 + 0.629596i \(0.216780\pi\)
−0.993974 + 0.109614i \(0.965039\pi\)
\(380\) −7.56599 + 25.3496i −0.388127 + 1.30040i
\(381\) 3.75257 1.71374i 0.192250 0.0877976i
\(382\) −32.5281 4.75073i −1.66428 0.243068i
\(383\) 19.8826 22.9458i 1.01595 1.17247i 0.0310247 0.999519i \(-0.490123\pi\)
0.984930 0.172955i \(-0.0553316\pi\)
\(384\) −10.2169 4.85959i −0.521377 0.247990i
\(385\) 18.7301 29.1446i 0.954573 1.48535i
\(386\) −5.98742 + 0.847269i −0.304752 + 0.0431248i
\(387\) 2.99797 + 4.66494i 0.152396 + 0.237132i
\(388\) 15.4372 13.2566i 0.783703 0.673000i
\(389\) −2.53289 + 0.743725i −0.128423 + 0.0377083i −0.345312 0.938488i \(-0.612227\pi\)
0.216890 + 0.976196i \(0.430409\pi\)
\(390\) −12.7692 0.0284112i −0.646593 0.00143866i
\(391\) −30.5995 + 0.693476i −1.54748 + 0.0350706i
\(392\) 0.150333 22.5216i 0.00759295 1.13751i
\(393\) 7.19161 2.11165i 0.362769 0.106519i
\(394\) −5.72480 6.63656i −0.288411 0.334345i
\(395\) 12.0167 7.72265i 0.604625 0.388569i
\(396\) −10.6618 + 1.48453i −0.535774 + 0.0746007i
\(397\) −6.11860 + 9.52072i −0.307084 + 0.477831i −0.960156 0.279464i \(-0.909843\pi\)
0.653073 + 0.757295i \(0.273480\pi\)
\(398\) −19.0023 8.72922i −0.952500 0.437556i
\(399\) 23.2380 + 20.1358i 1.16335 + 1.00805i
\(400\) 1.34862 8.82178i 0.0674311 0.441089i
\(401\) 18.7779 8.57558i 0.937724 0.428244i 0.112883 0.993608i \(-0.463992\pi\)
0.824841 + 0.565364i \(0.191264\pi\)
\(402\) −2.65508 0.786024i −0.132424 0.0392033i
\(403\) 0.391443 + 0.114938i 0.0194992 + 0.00572547i
\(404\) −13.2193 + 5.96608i −0.657683 + 0.296824i
\(405\) −0.236813 + 1.64707i −0.0117674 + 0.0818438i
\(406\) −7.25346 + 8.33340i −0.359983 + 0.413580i
\(407\) −14.4013 6.57683i −0.713844 0.326001i
\(408\) 15.1202 + 9.86039i 0.748561 + 0.488162i
\(409\) 1.19056 + 8.28054i 0.0588695 + 0.409447i 0.997854 + 0.0654857i \(0.0208597\pi\)
−0.938984 + 0.343961i \(0.888231\pi\)
\(410\) 2.12016 + 3.31523i 0.104707 + 0.163727i
\(411\) 3.09457 2.68146i 0.152644 0.132267i
\(412\) 5.42862 1.56778i 0.267449 0.0772390i
\(413\) −25.2460 −1.24228
\(414\) 4.54529 + 5.03392i 0.223389 + 0.247404i
\(415\) 16.2343i 0.796910i
\(416\) 29.5460 8.31961i 1.44861 0.407903i
\(417\) −6.92867 7.99611i −0.339298 0.391571i
\(418\) −32.5986 50.9735i −1.59445 2.49319i
\(419\) 14.4026 2.07079i 0.703614 0.101164i 0.218785 0.975773i \(-0.429791\pi\)
0.484830 + 0.874609i \(0.338882\pi\)
\(420\) 10.7987 + 7.00799i 0.526922 + 0.341955i
\(421\) 5.88628 12.8892i 0.286880 0.628179i −0.710245 0.703955i \(-0.751416\pi\)
0.997125 + 0.0757751i \(0.0241431\pi\)
\(422\) 10.7250 + 9.33513i 0.522085 + 0.454427i
\(423\) 1.84245 + 0.264904i 0.0895829 + 0.0128801i
\(424\) −14.0132 + 6.28692i −0.680542 + 0.305320i
\(425\) −4.01155 + 13.6621i −0.194589 + 0.662708i
\(426\) −0.0987170 0.0292247i −0.00478285 0.00141594i
\(427\) −23.6566 51.8007i −1.14482 2.50681i
\(428\) 1.17726 + 0.174615i 0.0569051 + 0.00844035i
\(429\) 19.1254 22.0719i 0.923383 1.06564i
\(430\) −5.44731 + 11.8580i −0.262693 + 0.571846i
\(431\) 5.29532 + 3.40310i 0.255067 + 0.163921i 0.661926 0.749570i \(-0.269740\pi\)
−0.406859 + 0.913491i \(0.633376\pi\)
\(432\) −0.534000 3.96420i −0.0256921 0.190727i
\(433\) −20.0506 31.1993i −0.963570 1.49934i −0.863490 0.504366i \(-0.831726\pi\)
−0.100080 0.994979i \(-0.531910\pi\)
\(434\) −0.268649 0.311435i −0.0128956 0.0149494i
\(435\) −0.946794 3.22449i −0.0453953 0.154602i
\(436\) −8.62622 0.0383865i −0.413121 0.00183838i
\(437\) −15.0468 + 35.0271i −0.719786 + 1.67557i
\(438\) 0.0450694 20.2561i 0.00215350 0.967874i
\(439\) 4.60201 + 15.6730i 0.219642 + 0.748032i 0.993415 + 0.114569i \(0.0365487\pi\)
−0.773773 + 0.633463i \(0.781633\pi\)
\(440\) −16.4608 19.2550i −0.784737 0.917944i
\(441\) 6.69872 4.30500i 0.318987 0.205000i
\(442\) −48.4914 + 6.86193i −2.30650 + 0.326389i
\(443\) −12.4373 7.99298i −0.590915 0.379758i 0.210743 0.977542i \(-0.432412\pi\)
−0.801657 + 0.597784i \(0.796048\pi\)
\(444\) 2.46766 5.34040i 0.117110 0.253444i
\(445\) −0.985056 0.853556i −0.0466961 0.0404624i
\(446\) 1.89566 12.9795i 0.0897622 0.614599i
\(447\) 8.29658 + 18.1670i 0.392415 + 0.859268i
\(448\) −29.5729 9.11392i −1.39719 0.430592i
\(449\) 13.0552 + 3.83335i 0.616112 + 0.180907i 0.574873 0.818242i \(-0.305051\pi\)
0.0412389 + 0.999149i \(0.486870\pi\)
\(450\) 2.87298 1.30433i 0.135434 0.0614867i
\(451\) −8.90884 1.28090i −0.419501 0.0603151i
\(452\) −17.0449 14.9028i −0.801725 0.700970i
\(453\) −3.33894 1.52484i −0.156877 0.0716434i
\(454\) −28.9405 18.6900i −1.35824 0.877166i
\(455\) −34.5710 + 4.97056i −1.62071 + 0.233024i
\(456\) 18.9948 12.0289i 0.889515 0.563303i
\(457\) 10.8713 9.42000i 0.508536 0.440649i −0.362416 0.932016i \(-0.618048\pi\)
0.870953 + 0.491367i \(0.163503\pi\)
\(458\) −5.82261 19.9945i −0.272073 0.934280i
\(459\) 6.38208i 0.297890i
\(460\) −4.21704 + 15.3935i −0.196621 + 0.717723i
\(461\) 12.3208i 0.573835i −0.957955 0.286918i \(-0.907369\pi\)
0.957955 0.286918i \(-0.0926306\pi\)
\(462\) −28.2692 + 8.23232i −1.31520 + 0.383002i
\(463\) −1.86627 + 1.61713i −0.0867330 + 0.0751546i −0.697148 0.716927i \(-0.745548\pi\)
0.610415 + 0.792082i \(0.291003\pi\)
\(464\) 4.30683 + 6.83454i 0.199939 + 0.317285i
\(465\) 0.123836 0.0178049i 0.00574275 0.000825683i
\(466\) −1.52630 + 2.36339i −0.0707045 + 0.109482i
\(467\) 21.2714 + 9.71434i 0.984324 + 0.449526i 0.841521 0.540225i \(-0.181661\pi\)
0.142804 + 0.989751i \(0.454388\pi\)
\(468\) 8.16994 + 7.14319i 0.377656 + 0.330194i
\(469\) −7.49669 1.07786i −0.346165 0.0497710i
\(470\) 1.81080 + 3.98855i 0.0835258 + 0.183978i
\(471\) −9.82614 2.88521i −0.452764 0.132944i
\(472\) −5.31890 + 17.6771i −0.244822 + 0.813656i
\(473\) −12.3985 27.1490i −0.570084 1.24831i
\(474\) −12.0125 1.75442i −0.551752 0.0805834i
\(475\) 13.4031 + 11.6138i 0.614976 + 0.532880i
\(476\) 44.8205 + 20.7104i 2.05434 + 0.949258i
\(477\) −4.56816 2.93578i −0.209162 0.134420i
\(478\) −1.57693 11.1438i −0.0721271 0.509703i
\(479\) −7.84284 + 5.04029i −0.358349 + 0.230297i −0.707410 0.706803i \(-0.750137\pi\)
0.349062 + 0.937100i \(0.386500\pi\)
\(480\) 7.18206 6.08473i 0.327815 0.277729i
\(481\) 4.49672 + 15.3144i 0.205033 + 0.698278i
\(482\) 24.9781 + 0.0555758i 1.13772 + 0.00253141i
\(483\) 14.2916 + 11.8276i 0.650292 + 0.538176i
\(484\) 35.9381 + 0.159924i 1.63355 + 0.00726928i
\(485\) 4.76964 + 16.2439i 0.216578 + 0.737598i
\(486\) 1.07085 0.923733i 0.0485747 0.0419014i
\(487\) 20.7209 + 32.2423i 0.938954 + 1.46104i 0.886667 + 0.462408i \(0.153014\pi\)
0.0522863 + 0.998632i \(0.483349\pi\)
\(488\) −41.2547 + 5.65072i −1.86751 + 0.255796i
\(489\) 17.4074 + 11.1871i 0.787192 + 0.505897i
\(490\) 17.0278 + 7.82218i 0.769239 + 0.353370i
\(491\) −8.92628 + 10.3015i −0.402837 + 0.464899i −0.920532 0.390666i \(-0.872245\pi\)
0.517695 + 0.855565i \(0.326790\pi\)
\(492\) 0.490692 3.30827i 0.0221221 0.149148i
\(493\) −5.35435 11.7244i −0.241148 0.528040i
\(494\) −17.3156 + 58.4897i −0.779065 + 2.63158i
\(495\) 2.52326 8.59343i 0.113412 0.386246i
\(496\) −0.274665 + 0.122493i −0.0123328 + 0.00550010i
\(497\) −0.278730 0.0400753i −0.0125027 0.00179762i
\(498\) 9.05844 10.4071i 0.405918 0.466354i
\(499\) −7.09543 + 15.5368i −0.317635 + 0.695524i −0.999348 0.0360957i \(-0.988508\pi\)
0.681713 + 0.731619i \(0.261235\pi\)
\(500\) 20.1868 + 13.1006i 0.902781 + 0.585875i
\(501\) 17.3432 2.49358i 0.774839 0.111405i
\(502\) −4.50414 + 2.88049i −0.201030 + 0.128563i
\(503\) 11.0265 + 12.7253i 0.491648 + 0.567393i 0.946305 0.323274i \(-0.104784\pi\)
−0.454657 + 0.890667i \(0.650238\pi\)
\(504\) −3.01225 10.5180i −0.134176 0.468509i
\(505\) 12.0667i 0.536963i
\(506\) −20.3592 30.2999i −0.905078 1.34700i
\(507\) −16.4433 −0.730272
\(508\) −2.28925 7.92679i −0.101569 0.351695i
\(509\) −16.2900 + 14.1153i −0.722040 + 0.625652i −0.936331 0.351118i \(-0.885801\pi\)
0.214291 + 0.976770i \(0.431256\pi\)
\(510\) −12.6526 + 8.09161i −0.560267 + 0.358303i
\(511\) −7.88494 54.8409i −0.348809 2.42602i
\(512\) −12.6120 + 18.7866i −0.557377 + 0.830259i
\(513\) 7.23070 + 3.30215i 0.319243 + 0.145793i
\(514\) 13.6169 + 11.8523i 0.600617 + 0.522782i
\(515\) −0.669054 + 4.65337i −0.0294820 + 0.205052i
\(516\) 10.1086 4.56220i 0.445007 0.200840i
\(517\) −9.61278 2.82257i −0.422769 0.124136i
\(518\) 4.56774 15.4292i 0.200695 0.677921i
\(519\) −17.3121 + 7.90616i −0.759916 + 0.347042i
\(520\) −3.80315 + 25.2537i −0.166779 + 1.10745i
\(521\) 25.1235 + 21.7696i 1.10068 + 0.953745i 0.999156 0.0410878i \(-0.0130823\pi\)
0.101525 + 0.994833i \(0.467628\pi\)
\(522\) −1.19226 + 2.59538i −0.0521836 + 0.113597i
\(523\) −18.2931 + 28.4647i −0.799903 + 1.24467i 0.166092 + 0.986110i \(0.446885\pi\)
−0.965995 + 0.258563i \(0.916751\pi\)
\(524\) −2.06731 14.8472i −0.0903110 0.648603i
\(525\) 7.26015 4.66582i 0.316859 0.203633i
\(526\) 17.2575 14.8866i 0.752462 0.649086i
\(527\) 0.460402 0.135186i 0.0200554 0.00588881i
\(528\) −0.191606 + 21.5284i −0.00833857 + 0.936902i
\(529\) −8.59693 + 21.3329i −0.373780 + 0.927517i
\(530\) 0.0284323 12.7786i 0.00123502 0.555069i
\(531\) −6.26222 + 1.83875i −0.271757 + 0.0797952i
\(532\) 46.6547 40.0644i 2.02274 1.73701i
\(533\) 4.90566 + 7.63336i 0.212488 + 0.330637i
\(534\) 0.155209 + 1.09682i 0.00671656 + 0.0474641i
\(535\) −0.535345 + 0.833013i −0.0231450 + 0.0360143i
\(536\) −2.33413 + 5.02206i −0.100819 + 0.216920i
\(537\) −5.44335 + 6.28197i −0.234898 + 0.271087i
\(538\) 1.34619 9.21733i 0.0580384 0.397388i
\(539\) −38.9851 + 17.8039i −1.67921 + 0.766869i
\(540\) 3.18901 + 0.951813i 0.137233 + 0.0409595i
\(541\) −8.48082 + 28.8830i −0.364619 + 1.24178i 0.549212 + 0.835683i \(0.314928\pi\)
−0.913831 + 0.406095i \(0.866890\pi\)
\(542\) 10.6807 + 23.5260i 0.458777 + 1.01053i
\(543\) −1.89241 + 13.1620i −0.0812113 + 0.564837i
\(544\) 23.9442 27.0198i 1.02660 1.15846i
\(545\) 2.98149 6.52855i 0.127713 0.279652i
\(546\) 24.9355 + 16.1036i 1.06714 + 0.689170i
\(547\) −3.37908 23.5020i −0.144479 1.00487i −0.925061 0.379819i \(-0.875986\pi\)
0.780582 0.625054i \(-0.214923\pi\)
\(548\) −4.39683 6.90900i −0.187823 0.295138i
\(549\) −9.64080 11.1261i −0.411459 0.474849i
\(550\) −16.3050 + 4.74820i −0.695247 + 0.202464i
\(551\) −16.0538 −0.683913
\(552\) 11.2926 7.51506i 0.480647 0.319862i
\(553\) −33.2053 −1.41203
\(554\) −11.5184 + 3.35428i −0.489368 + 0.142510i
\(555\) 3.20532 + 3.69914i 0.136058 + 0.157020i
\(556\) −17.8523 + 11.3610i −0.757106 + 0.481815i
\(557\) 2.40002 + 16.6925i 0.101692 + 0.707285i 0.975337 + 0.220721i \(0.0708409\pi\)
−0.873645 + 0.486564i \(0.838250\pi\)
\(558\) −0.0893208 0.0576842i −0.00378125 0.00244197i
\(559\) −12.4995 + 27.3702i −0.528674 + 1.15764i
\(560\) 17.0330 19.3073i 0.719777 0.815881i
\(561\) 4.88856 34.0007i 0.206395 1.43551i
\(562\) −4.64316 10.2273i −0.195860 0.431411i
\(563\) 11.3083 38.5124i 0.476586 1.62310i −0.273576 0.961850i \(-0.588207\pi\)
0.750163 0.661253i \(-0.229975\pi\)
\(564\) 1.06472 3.56729i 0.0448326 0.150210i
\(565\) 17.1353 7.82542i 0.720886 0.329218i
\(566\) 5.61109 38.4190i 0.235852 1.61487i
\(567\) 2.53312 2.92337i 0.106381 0.122770i
\(568\) −0.0867840 + 0.186722i −0.00364137 + 0.00783468i
\(569\) −5.68173 + 8.84094i −0.238190 + 0.370632i −0.939684 0.342044i \(-0.888881\pi\)
0.701493 + 0.712676i \(0.252517\pi\)
\(570\) 2.62097 + 18.5217i 0.109780 + 0.775788i
\(571\) 5.72526 + 8.90868i 0.239595 + 0.372817i 0.940138 0.340793i \(-0.110695\pi\)
−0.700544 + 0.713610i \(0.747059\pi\)
\(572\) −38.0540 44.3136i −1.59112 1.85284i
\(573\) −22.3033 + 6.54883i −0.931732 + 0.273581i
\(574\) 0.0203536 9.14778i 0.000849545 0.381821i
\(575\) 8.24307 + 6.82188i 0.343760 + 0.284492i
\(576\) −7.99929 0.106796i −0.333304 0.00444982i
\(577\) 27.2684 8.00674i 1.13520 0.333325i 0.340451 0.940262i \(-0.389420\pi\)
0.794750 + 0.606938i \(0.207602\pi\)
\(578\) −25.4123 + 21.9211i −1.05701 + 0.911796i
\(579\) −3.59714 + 2.31174i −0.149492 + 0.0960727i
\(580\) −6.65701 + 0.926916i −0.276417 + 0.0384881i
\(581\) 20.4029 31.7475i 0.846455 1.31711i
\(582\) 6.00619 13.0747i 0.248965 0.541962i
\(583\) 22.0882 + 19.1396i 0.914802 + 0.792680i
\(584\) −40.0606 6.03303i −1.65772 0.249649i
\(585\) −8.21325 + 3.75087i −0.339576 + 0.155079i
\(586\) 2.26310 7.64446i 0.0934880 0.315790i
\(587\) −39.9590 11.7330i −1.64929 0.484274i −0.680619 0.732638i \(-0.738289\pi\)
−0.968667 + 0.248364i \(0.920107\pi\)
\(588\) −6.55119 14.5157i −0.270166 0.598617i
\(589\) 0.0850547 0.591568i 0.00350462 0.0243751i
\(590\) −11.5850 10.0837i −0.476948 0.415139i
\(591\) −5.63742 2.57452i −0.231892 0.105902i
\(592\) −9.84112 6.44898i −0.404468 0.265051i
\(593\) −4.39400 30.5609i −0.180440 1.25499i −0.855725 0.517431i \(-0.826888\pi\)
0.675285 0.737557i \(-0.264021\pi\)
\(594\) −6.41254 + 4.10096i −0.263110 + 0.168264i
\(595\) −31.0458 + 26.9013i −1.27275 + 1.10285i
\(596\) 38.3753 11.0827i 1.57191 0.453967i
\(597\) −14.7866 −0.605175
\(598\) −9.64467 + 35.5158i −0.394400 + 1.45235i
\(599\) 38.9220i 1.59031i −0.606407 0.795155i \(-0.707390\pi\)
0.606407 0.795155i \(-0.292610\pi\)
\(600\) −1.73739 6.06653i −0.0709288 0.247665i
\(601\) −7.33611 8.46633i −0.299246 0.345349i 0.586136 0.810213i \(-0.300649\pi\)
−0.885382 + 0.464864i \(0.846103\pi\)
\(602\) 25.5556 16.3434i 1.04157 0.666106i
\(603\) −1.93804 + 0.278648i −0.0789232 + 0.0113474i
\(604\) −3.99645 + 6.15818i −0.162613 + 0.250573i
\(605\) −12.4213 + 27.1989i −0.504999 + 1.10579i
\(606\) −6.73303 + 7.73549i −0.273511 + 0.314233i
\(607\) 19.9152 + 2.86338i 0.808335 + 0.116221i 0.534078 0.845435i \(-0.320659\pi\)
0.274257 + 0.961656i \(0.411568\pi\)
\(608\) −18.2236 41.1083i −0.739064 1.66716i
\(609\) −2.20093 + 7.49567i −0.0891861 + 0.303740i
\(610\) 9.83444 33.2194i 0.398185 1.34502i
\(611\) 4.19579 + 9.18750i 0.169743 + 0.371686i
\(612\) 12.6260 + 1.87273i 0.510377 + 0.0757008i
\(613\) 24.8229 28.6471i 1.00259 1.15705i 0.0150127 0.999887i \(-0.495221\pi\)
0.987573 0.157159i \(-0.0502334\pi\)
\(614\) 26.7628 + 12.2942i 1.08006 + 0.496153i
\(615\) 2.34088 + 1.50439i 0.0943933 + 0.0606629i
\(616\) 7.99125 + 58.3423i 0.321977 + 2.35068i
\(617\) 9.97632 + 15.5235i 0.401631 + 0.624951i 0.981883 0.189486i \(-0.0606823\pi\)
−0.580252 + 0.814437i \(0.697046\pi\)
\(618\) 3.02540 2.60976i 0.121700 0.104980i
\(619\) −9.52595 32.4424i −0.382880 1.30397i −0.895388 0.445288i \(-0.853101\pi\)
0.512507 0.858683i \(-0.328717\pi\)
\(620\) 0.00111346 0.250216i 4.47176e−5 0.0100489i
\(621\) 4.40646 + 1.89291i 0.176825 + 0.0759598i
\(622\) 3.87280 + 0.00861690i 0.155285 + 0.000345506i
\(623\) 0.853630 + 2.90720i 0.0342000 + 0.116474i
\(624\) 16.5291 14.0670i 0.661695 0.563130i
\(625\) −7.45940 + 4.79386i −0.298376 + 0.191755i
\(626\) −5.12894 36.2448i −0.204993 1.44863i
\(627\) −35.9923 23.1309i −1.43740 0.923758i
\(628\) −8.59133 + 18.5930i −0.342831 + 0.741941i
\(629\) 14.1875 + 12.2936i 0.565693 + 0.490176i
\(630\) 9.00729 + 1.31551i 0.358859 + 0.0524114i
\(631\) −14.6180 32.0089i −0.581932 1.27425i −0.940196 0.340633i \(-0.889358\pi\)
0.358264 0.933620i \(-0.383369\pi\)
\(632\) −6.99578 + 23.2502i −0.278277 + 0.924843i
\(633\) 9.64685 + 2.83257i 0.383428 + 0.112585i
\(634\) −2.96136 6.52283i −0.117610 0.259055i
\(635\) 6.79479 + 0.976943i 0.269643 + 0.0387688i
\(636\) −7.14849 + 8.17599i −0.283456 + 0.324199i
\(637\) 39.3028 + 17.9490i 1.55723 + 0.711165i
\(638\) 8.33978 12.9137i 0.330175 0.511258i
\(639\) −0.0720571 + 0.0103603i −0.00285054 + 0.000409845i
\(640\) −9.93029 15.9942i −0.392529 0.632224i
\(641\) 6.42683 5.56888i 0.253845 0.219958i −0.518637 0.854994i \(-0.673560\pi\)
0.772482 + 0.635037i \(0.219015\pi\)
\(642\) 0.807994 0.235297i 0.0318890 0.00928643i
\(643\) 11.8597i 0.467702i −0.972273 0.233851i \(-0.924867\pi\)
0.972273 0.233851i \(-0.0751327\pi\)
\(644\) 27.5930 24.8033i 1.08731 0.977388i
\(645\) 9.22731i 0.363325i
\(646\) 20.0597 + 68.8837i 0.789238 + 2.71019i
\(647\) −1.21161 + 1.04986i −0.0476331 + 0.0412743i −0.678352 0.734737i \(-0.737306\pi\)
0.630719 + 0.776011i \(0.282760\pi\)
\(648\) −1.51325 2.38958i −0.0594459 0.0938715i
\(649\) 34.7706 4.99926i 1.36487 0.196238i
\(650\) 14.3822 + 9.28815i 0.564116 + 0.364311i
\(651\) −0.264549 0.120815i −0.0103685 0.00473512i
\(652\) 27.2400 31.1554i 1.06680 1.22014i
\(653\) 13.0126 + 1.87094i 0.509224 + 0.0732154i 0.392138 0.919906i \(-0.371736\pi\)
0.117086 + 0.993122i \(0.462645\pi\)
\(654\) −5.55412 + 2.52156i −0.217183 + 0.0986009i
\(655\) 11.9669 + 3.51381i 0.467586 + 0.137296i
\(656\) −6.40094 1.94153i −0.249915 0.0758040i
\(657\) −5.95010 13.0289i −0.232135 0.508306i
\(658\) 1.47156 10.0757i 0.0573674 0.392793i
\(659\) 6.14604 + 5.32557i 0.239416 + 0.207455i 0.766301 0.642481i \(-0.222095\pi\)
−0.526886 + 0.849936i \(0.676640\pi\)
\(660\) −16.2605 7.51353i −0.632937 0.292464i
\(661\) −14.0960 9.05895i −0.548271 0.352352i 0.236995 0.971511i \(-0.423838\pi\)
−0.785266 + 0.619158i \(0.787474\pi\)
\(662\) −19.2711 + 2.72702i −0.748993 + 0.105988i
\(663\) −29.1328 + 18.7225i −1.13142 + 0.727122i
\(664\) −17.9309 20.9747i −0.695855 0.813974i
\(665\) 14.4150 + 49.0929i 0.558989 + 1.90374i
\(666\) 0.00925564 4.15987i 0.000358649 0.161192i
\(667\) −9.68311 + 0.219448i −0.374931 + 0.00849705i
\(668\) 0.155940 35.0428i 0.00603350 1.35585i
\(669\) −2.61315 8.89958i −0.101030 0.344078i
\(670\) −3.00960 3.48892i −0.116271 0.134789i
\(671\) 42.8392 + 66.6591i 1.65379 + 2.57335i
\(672\) −21.6923 + 2.87295i −0.836798 + 0.110826i
\(673\) 0.420022 + 0.269932i 0.0161907 + 0.0104051i 0.548711 0.836012i \(-0.315119\pi\)
−0.532520 + 0.846417i \(0.678755\pi\)
\(674\) 5.47487 11.9181i 0.210884 0.459066i
\(675\) 1.46104 1.68613i 0.0562354 0.0648991i
\(676\) −4.82505 + 32.5307i −0.185579 + 1.25118i
\(677\) −6.96587 15.2531i −0.267720 0.586226i 0.727253 0.686370i \(-0.240797\pi\)
−0.994973 + 0.100144i \(0.968070\pi\)
\(678\) −15.3512 4.54463i −0.589557 0.174535i
\(679\) 11.0875 37.7607i 0.425501 1.44912i
\(680\) 12.2954 + 27.4057i 0.471506 + 1.05096i
\(681\) −24.1125 3.46686i −0.923995 0.132850i
\(682\) 0.431674 + 0.375732i 0.0165296 + 0.0143875i
\(683\) 2.39200 5.23775i 0.0915274 0.200417i −0.858332 0.513095i \(-0.828499\pi\)
0.949859 + 0.312678i \(0.101226\pi\)
\(684\) 8.65458 13.3359i 0.330916 0.509912i
\(685\) 6.74428 0.969681i 0.257686 0.0370496i
\(686\) −2.83759 4.43705i −0.108340 0.169407i
\(687\) −9.64316 11.1288i −0.367909 0.424590i
\(688\) −6.05942 21.3372i −0.231013 0.813472i
\(689\) 29.4651i 1.12253i
\(690\) 1.83407 + 11.1358i 0.0698217 + 0.423935i
\(691\) −0.442472 −0.0168324 −0.00841621 0.999965i \(-0.502679\pi\)
−0.00841621 + 0.999965i \(0.502679\pi\)
\(692\) 10.5612 + 36.5694i 0.401477 + 1.39016i
\(693\) −15.7345 + 13.6340i −0.597704 + 0.517913i
\(694\) 8.48768 + 13.2719i 0.322188 + 0.503795i
\(695\) −2.50557 17.4267i −0.0950419 0.661031i
\(696\) 4.78473 + 3.12028i 0.181365 + 0.118274i
\(697\) 9.70787 + 4.43343i 0.367712 + 0.167928i
\(698\) −22.9265 + 26.3399i −0.867780 + 0.996981i
\(699\) −0.283118 + 1.96913i −0.0107085 + 0.0744792i
\(700\) −7.10026 15.7323i −0.268365 0.594625i
\(701\) −37.9524 11.1438i −1.43344 0.420896i −0.529411 0.848365i \(-0.677587\pi\)
−0.904030 + 0.427469i \(0.859405\pi\)
\(702\) 7.35809 + 2.17832i 0.277713 + 0.0822156i
\(703\) 21.2690 9.71321i 0.802174 0.366341i
\(704\) 42.5346 + 6.69627i 1.60308 + 0.252375i
\(705\) 2.34084 + 2.02835i 0.0881613 + 0.0763922i
\(706\) 9.26087 + 4.25423i 0.348538 + 0.160110i
\(707\) −15.1652 + 23.5976i −0.570347 + 0.887477i
\(708\) 1.80015 + 12.9285i 0.0676538 + 0.485882i
\(709\) 4.95572 3.18485i 0.186116 0.119609i −0.444265 0.895895i \(-0.646535\pi\)
0.630381 + 0.776286i \(0.282899\pi\)
\(710\) −0.111898 0.129719i −0.00419946 0.00486828i
\(711\) −8.23651 + 2.41846i −0.308893 + 0.0906992i
\(712\) 2.21545 + 0.0147882i 0.0830275 + 0.000554211i
\(713\) 0.0432157 0.357977i 0.00161844 0.0134064i
\(714\) 34.9126 + 0.0776799i 1.30657 + 0.00290710i
\(715\) 46.6294 13.6916i 1.74384 0.512038i
\(716\) 10.8307 + 12.6123i 0.404762 + 0.471342i
\(717\) −4.30260 6.69497i −0.160683 0.250028i
\(718\) −24.2459 + 3.43100i −0.904850 + 0.128044i
\(719\) −17.1621 + 26.7048i −0.640040 + 0.995921i 0.358024 + 0.933713i \(0.383451\pi\)
−0.998063 + 0.0622086i \(0.980186\pi\)
\(720\) 2.81880 6.02970i 0.105050 0.224714i
\(721\) 7.15665 8.25921i 0.266528 0.307589i
\(722\) 61.8341 + 9.03087i 2.30123 + 0.336094i
\(723\) 16.0661 7.33715i 0.597505 0.272872i
\(724\) 25.4839 + 7.60608i 0.947101 + 0.282678i
\(725\) −1.26944 + 4.32331i −0.0471458 + 0.160564i
\(726\) 23.1393 10.5052i 0.858780 0.389885i
\(727\) −1.94294 + 13.5134i −0.0720595 + 0.501185i 0.921545 + 0.388271i \(0.126928\pi\)
−0.993605 + 0.112914i \(0.963982\pi\)
\(728\) 39.1756 44.6060i 1.45195 1.65321i
\(729\) 0.415415 0.909632i 0.0153857 0.0336901i
\(730\) 18.2861 28.3151i 0.676800 1.04799i
\(731\) 5.03653 + 35.0298i 0.186283 + 1.29563i
\(732\) −24.8403 + 15.8081i −0.918124 + 0.584286i
\(733\) 5.78305 + 6.67399i 0.213602 + 0.246510i 0.852432 0.522838i \(-0.175127\pi\)
−0.638830 + 0.769348i \(0.720581\pi\)
\(734\) −7.78952 26.7487i −0.287516 0.987312i
\(735\) 13.2502 0.488739
\(736\) −11.5538 24.5461i −0.425879 0.904780i
\(737\) 10.5384 0.388187
\(738\) −0.661216 2.27057i −0.0243397 0.0835809i
\(739\) 1.94870 + 2.24892i 0.0716841 + 0.0827279i 0.790459 0.612515i \(-0.209842\pi\)
−0.718775 + 0.695243i \(0.755297\pi\)
\(740\) 8.25877 5.25580i 0.303598 0.193207i
\(741\) 6.13844 + 42.6938i 0.225501 + 1.56839i
\(742\) −16.1155 + 24.9540i −0.591620 + 0.916090i
\(743\) −20.8483 + 45.6514i −0.764850 + 1.67479i −0.0271758 + 0.999631i \(0.508651\pi\)
−0.737674 + 0.675157i \(0.764076\pi\)
\(744\) −0.140330 + 0.159782i −0.00514475 + 0.00585789i
\(745\) −4.72959 + 32.8950i −0.173279 + 1.20518i
\(746\) 3.96741 1.80120i 0.145257 0.0659465i
\(747\) 2.74862 9.36092i 0.100567 0.342498i
\(748\) −65.8310 19.6484i −2.40702 0.718415i
\(749\) 2.09383 0.956218i 0.0765067 0.0349395i
\(750\) 16.8380 + 2.45919i 0.614837 + 0.0897969i
\(751\) 11.2779 13.0154i 0.411537 0.474939i −0.511703 0.859162i \(-0.670985\pi\)
0.923240 + 0.384223i \(0.125531\pi\)
\(752\) −6.74494 3.15316i −0.245963 0.114984i
\(753\) −2.04390 + 3.18037i −0.0744838 + 0.115899i
\(754\) −15.3449 + 2.17143i −0.558830 + 0.0790789i
\(755\) −3.30224 5.13838i −0.120181 0.187005i
\(756\) −5.04016 5.86923i −0.183309 0.213462i
\(757\) −12.0818 + 3.54752i −0.439119 + 0.128937i −0.493817 0.869566i \(-0.664399\pi\)
0.0546978 + 0.998503i \(0.482580\pi\)
\(758\) 21.2109 + 0.0471939i 0.770416 + 0.00171416i
\(759\) −22.0256 13.4598i −0.799478 0.488559i
\(760\) 37.4116 + 0.249724i 1.35706 + 0.00905843i
\(761\) −35.7630 + 10.5010i −1.29641 + 0.380660i −0.855925 0.517101i \(-0.827011\pi\)
−0.440484 + 0.897761i \(0.645193\pi\)
\(762\) −3.81074 4.41765i −0.138048 0.160035i
\(763\) −14.0355 + 9.02007i −0.508119 + 0.326548i
\(764\) 6.41133 + 46.0455i 0.231954 + 1.66587i
\(765\) −5.74153 + 8.93399i −0.207585 + 0.323009i
\(766\) −39.0178 17.9239i −1.40977 0.647615i
\(767\) −26.7644 23.1915i −0.966407 0.837396i
\(768\) −2.55856 + 15.7941i −0.0923241 + 0.569921i
\(769\) −14.0955 + 6.43721i −0.508298 + 0.232132i −0.653020 0.757340i \(-0.726498\pi\)
0.144722 + 0.989472i \(0.453771\pi\)
\(770\) −46.9789 13.9079i −1.69300 0.501205i
\(771\) 12.2481 + 3.59635i 0.441103 + 0.129519i
\(772\) 3.51792 + 7.79477i 0.126613 + 0.280540i
\(773\) 4.65673 32.3882i 0.167491 1.16492i −0.716557