Properties

Label 690.2.m.h.31.2
Level $690$
Weight $2$
Character 690.31
Analytic conductor $5.510$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.m (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(3\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 31.2
Character \(\chi\) \(=\) 690.31
Dual form 690.2.m.h.601.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.142315 - 0.989821i) q^{2} +(0.415415 + 0.909632i) q^{3} +(-0.959493 - 0.281733i) q^{4} +(0.654861 + 0.755750i) q^{5} +(0.959493 - 0.281733i) q^{6} +(0.208237 + 0.133826i) q^{7} +(-0.415415 + 0.909632i) q^{8} +(-0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(q+(0.142315 - 0.989821i) q^{2} +(0.415415 + 0.909632i) q^{3} +(-0.959493 - 0.281733i) q^{4} +(0.654861 + 0.755750i) q^{5} +(0.959493 - 0.281733i) q^{6} +(0.208237 + 0.133826i) q^{7} +(-0.415415 + 0.909632i) q^{8} +(-0.654861 + 0.755750i) q^{9} +(0.841254 - 0.540641i) q^{10} +(0.108025 + 0.751334i) q^{11} +(-0.142315 - 0.989821i) q^{12} +(-2.45109 + 1.57522i) q^{13} +(0.162099 - 0.187072i) q^{14} +(-0.415415 + 0.909632i) q^{15} +(0.841254 + 0.540641i) q^{16} +(6.73175 - 1.97662i) q^{17} +(0.654861 + 0.755750i) q^{18} +(7.70022 + 2.26099i) q^{19} +(-0.415415 - 0.909632i) q^{20} +(-0.0352275 + 0.245013i) q^{21} +0.759060 q^{22} +(0.715117 + 4.74222i) q^{23} -1.00000 q^{24} +(-0.142315 + 0.989821i) q^{25} +(1.21036 + 2.65032i) q^{26} +(-0.959493 - 0.281733i) q^{27} +(-0.162099 - 0.187072i) q^{28} +(-7.35741 + 2.16033i) q^{29} +(0.841254 + 0.540641i) q^{30} +(-1.32117 + 2.89295i) q^{31} +(0.654861 - 0.755750i) q^{32} +(-0.638562 + 0.410379i) q^{33} +(-0.998473 - 6.94453i) q^{34} +(0.0352275 + 0.245013i) q^{35} +(0.841254 - 0.540641i) q^{36} +(-0.244627 + 0.282315i) q^{37} +(3.33383 - 7.30007i) q^{38} +(-2.45109 - 1.57522i) q^{39} +(-0.959493 + 0.281733i) q^{40} +(8.38273 + 9.67418i) q^{41} +(0.237505 + 0.0697379i) q^{42} +(-1.50964 - 3.30566i) q^{43} +(0.108025 - 0.751334i) q^{44} -1.00000 q^{45} +(4.79572 - 0.0329509i) q^{46} -3.48117 q^{47} +(-0.142315 + 0.989821i) q^{48} +(-2.88245 - 6.31169i) q^{49} +(0.959493 + 0.281733i) q^{50} +(4.59447 + 5.30230i) q^{51} +(2.79560 - 0.820862i) q^{52} +(8.29089 + 5.32823i) q^{53} +(-0.415415 + 0.909632i) q^{54} +(-0.497078 + 0.573659i) q^{55} +(-0.208237 + 0.133826i) q^{56} +(1.14212 + 7.94361i) q^{57} +(1.09127 + 7.58997i) q^{58} +(11.5521 - 7.42412i) q^{59} +(0.654861 - 0.755750i) q^{60} +(1.29177 - 2.82859i) q^{61} +(2.67548 + 1.71943i) q^{62} +(-0.237505 + 0.0697379i) q^{63} +(-0.654861 - 0.755750i) q^{64} +(-2.79560 - 0.820862i) q^{65} +(0.315325 + 0.690465i) q^{66} +(1.45071 - 10.0899i) q^{67} -7.01595 q^{68} +(-4.01660 + 2.62048i) q^{69} +0.247532 q^{70} +(0.519931 - 3.61620i) q^{71} +(-0.415415 - 0.909632i) q^{72} +(-14.9793 - 4.39831i) q^{73} +(0.244627 + 0.282315i) q^{74} +(-0.959493 + 0.281733i) q^{75} +(-6.75131 - 4.33880i) q^{76} +(-0.0780530 + 0.170912i) q^{77} +(-1.90802 + 2.20197i) q^{78} +(-7.14726 + 4.59327i) q^{79} +(0.142315 + 0.989821i) q^{80} +(-0.142315 - 0.989821i) q^{81} +(10.7687 - 6.92062i) q^{82} +(7.22752 - 8.34101i) q^{83} +(0.102829 - 0.225163i) q^{84} +(5.90219 + 3.79311i) q^{85} +(-3.48685 + 1.02383i) q^{86} +(-5.02148 - 5.79510i) q^{87} +(-0.728312 - 0.213852i) q^{88} +(-1.09693 - 2.40194i) q^{89} +(-0.142315 + 0.989821i) q^{90} -0.721215 q^{91} +(0.649886 - 4.75159i) q^{92} -3.18035 q^{93} +(-0.495422 + 3.44574i) q^{94} +(3.33383 + 7.30007i) q^{95} +(0.959493 + 0.281733i) q^{96} +(-7.63862 - 8.81543i) q^{97} +(-6.65766 + 1.95487i) q^{98} +(-0.638562 - 0.410379i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30q + 3q^{2} - 3q^{3} - 3q^{4} + 3q^{5} + 3q^{6} + 8q^{7} + 3q^{8} - 3q^{9} + O(q^{10}) \) \( 30q + 3q^{2} - 3q^{3} - 3q^{4} + 3q^{5} + 3q^{6} + 8q^{7} + 3q^{8} - 3q^{9} - 3q^{10} - 18q^{11} - 3q^{12} + 13q^{13} - 8q^{14} + 3q^{15} - 3q^{16} - 6q^{17} + 3q^{18} + 4q^{19} + 3q^{20} - 3q^{21} - 4q^{22} - 23q^{23} - 30q^{24} - 3q^{25} + 9q^{26} - 3q^{27} + 8q^{28} + 18q^{29} - 3q^{30} - 8q^{31} + 3q^{32} + 4q^{33} - 5q^{34} + 3q^{35} - 3q^{36} - 32q^{37} - 15q^{38} + 13q^{39} - 3q^{40} + 35q^{41} + 3q^{42} + 48q^{43} - 18q^{44} - 30q^{45} + q^{46} + 8q^{47} - 3q^{48} - 11q^{49} + 3q^{50} + 27q^{51} + 2q^{52} + 26q^{53} + 3q^{54} - 4q^{55} - 8q^{56} - 29q^{57} - 7q^{58} + 55q^{59} + 3q^{60} + 21q^{61} + 8q^{62} - 3q^{63} - 3q^{64} - 2q^{65} + 7q^{66} + 4q^{67} - 28q^{68} - 45q^{69} - 14q^{70} - 41q^{71} + 3q^{72} - 39q^{73} + 32q^{74} - 3q^{75} + 4q^{76} - 33q^{77} - 2q^{78} + 18q^{79} + 3q^{80} - 3q^{81} + 31q^{82} - 85q^{83} - 3q^{84} - 5q^{85} + 40q^{86} + 18q^{87} - 15q^{88} + 43q^{89} - 3q^{90} + 38q^{91} + 10q^{92} + 36q^{93} - 19q^{94} - 15q^{95} + 3q^{96} + 43q^{97} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{3}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.142315 0.989821i 0.100632 0.699909i
\(3\) 0.415415 + 0.909632i 0.239840 + 0.525176i
\(4\) −0.959493 0.281733i −0.479746 0.140866i
\(5\) 0.654861 + 0.755750i 0.292863 + 0.337981i
\(6\) 0.959493 0.281733i 0.391711 0.115017i
\(7\) 0.208237 + 0.133826i 0.0787063 + 0.0505815i 0.579402 0.815042i \(-0.303286\pi\)
−0.500696 + 0.865623i \(0.666922\pi\)
\(8\) −0.415415 + 0.909632i −0.146871 + 0.321603i
\(9\) −0.654861 + 0.755750i −0.218287 + 0.251917i
\(10\) 0.841254 0.540641i 0.266028 0.170966i
\(11\) 0.108025 + 0.751334i 0.0325709 + 0.226536i 0.999605 0.0281122i \(-0.00894956\pi\)
−0.967034 + 0.254648i \(0.918040\pi\)
\(12\) −0.142315 0.989821i −0.0410828 0.285737i
\(13\) −2.45109 + 1.57522i −0.679811 + 0.436888i −0.834450 0.551083i \(-0.814215\pi\)
0.154639 + 0.987971i \(0.450578\pi\)
\(14\) 0.162099 0.187072i 0.0433228 0.0499972i
\(15\) −0.415415 + 0.909632i −0.107260 + 0.234866i
\(16\) 0.841254 + 0.540641i 0.210313 + 0.135160i
\(17\) 6.73175 1.97662i 1.63269 0.479401i 0.668301 0.743891i \(-0.267022\pi\)
0.964388 + 0.264490i \(0.0852036\pi\)
\(18\) 0.654861 + 0.755750i 0.154352 + 0.178132i
\(19\) 7.70022 + 2.26099i 1.76655 + 0.518706i 0.993317 0.115415i \(-0.0368198\pi\)
0.773234 + 0.634121i \(0.218638\pi\)
\(20\) −0.415415 0.909632i −0.0928896 0.203400i
\(21\) −0.0352275 + 0.245013i −0.00768727 + 0.0534661i
\(22\) 0.759060 0.161832
\(23\) 0.715117 + 4.74222i 0.149112 + 0.988820i
\(24\) −1.00000 −0.204124
\(25\) −0.142315 + 0.989821i −0.0284630 + 0.197964i
\(26\) 1.21036 + 2.65032i 0.237371 + 0.519771i
\(27\) −0.959493 0.281733i −0.184655 0.0542195i
\(28\) −0.162099 0.187072i −0.0306338 0.0353533i
\(29\) −7.35741 + 2.16033i −1.36624 + 0.401163i −0.880957 0.473196i \(-0.843100\pi\)
−0.485279 + 0.874359i \(0.661282\pi\)
\(30\) 0.841254 + 0.540641i 0.153591 + 0.0987071i
\(31\) −1.32117 + 2.89295i −0.237289 + 0.519589i −0.990388 0.138317i \(-0.955831\pi\)
0.753099 + 0.657907i \(0.228558\pi\)
\(32\) 0.654861 0.755750i 0.115764 0.133599i
\(33\) −0.638562 + 0.410379i −0.111159 + 0.0714378i
\(34\) −0.998473 6.94453i −0.171237 1.19098i
\(35\) 0.0352275 + 0.245013i 0.00595453 + 0.0414147i
\(36\) 0.841254 0.540641i 0.140209 0.0901068i
\(37\) −0.244627 + 0.282315i −0.0402164 + 0.0464122i −0.775501 0.631346i \(-0.782503\pi\)
0.735285 + 0.677758i \(0.237048\pi\)
\(38\) 3.33383 7.30007i 0.540819 1.18423i
\(39\) −2.45109 1.57522i −0.392489 0.252237i
\(40\) −0.959493 + 0.281733i −0.151709 + 0.0445458i
\(41\) 8.38273 + 9.67418i 1.30916 + 1.51085i 0.676662 + 0.736293i \(0.263426\pi\)
0.632500 + 0.774560i \(0.282029\pi\)
\(42\) 0.237505 + 0.0697379i 0.0366479 + 0.0107608i
\(43\) −1.50964 3.30566i −0.230218 0.504108i 0.758904 0.651202i \(-0.225735\pi\)
−0.989122 + 0.147094i \(0.953008\pi\)
\(44\) 0.108025 0.751334i 0.0162855 0.113268i
\(45\) −1.00000 −0.149071
\(46\) 4.79572 0.0329509i 0.707090 0.00485834i
\(47\) −3.48117 −0.507781 −0.253890 0.967233i \(-0.581710\pi\)
−0.253890 + 0.967233i \(0.581710\pi\)
\(48\) −0.142315 + 0.989821i −0.0205414 + 0.142868i
\(49\) −2.88245 6.31169i −0.411779 0.901670i
\(50\) 0.959493 + 0.281733i 0.135693 + 0.0398430i
\(51\) 4.59447 + 5.30230i 0.643354 + 0.742470i
\(52\) 2.79560 0.820862i 0.387680 0.113833i
\(53\) 8.29089 + 5.32823i 1.13884 + 0.731889i 0.967387 0.253304i \(-0.0815172\pi\)
0.171454 + 0.985192i \(0.445154\pi\)
\(54\) −0.415415 + 0.909632i −0.0565308 + 0.123785i
\(55\) −0.497078 + 0.573659i −0.0670260 + 0.0773522i
\(56\) −0.208237 + 0.133826i −0.0278269 + 0.0178832i
\(57\) 1.14212 + 7.94361i 0.151277 + 1.05216i
\(58\) 1.09127 + 7.58997i 0.143291 + 0.996611i
\(59\) 11.5521 7.42412i 1.50396 0.966537i 0.509610 0.860406i \(-0.329790\pi\)
0.994352 0.106132i \(-0.0338465\pi\)
\(60\) 0.654861 0.755750i 0.0845422 0.0975669i
\(61\) 1.29177 2.82859i 0.165395 0.362164i −0.808728 0.588182i \(-0.799844\pi\)
0.974123 + 0.226018i \(0.0725710\pi\)
\(62\) 2.67548 + 1.71943i 0.339787 + 0.218368i
\(63\) −0.237505 + 0.0697379i −0.0299229 + 0.00878615i
\(64\) −0.654861 0.755750i −0.0818576 0.0944687i
\(65\) −2.79560 0.820862i −0.346751 0.101815i
\(66\) 0.315325 + 0.690465i 0.0388138 + 0.0849904i
\(67\) 1.45071 10.0899i 0.177232 1.23268i −0.685899 0.727697i \(-0.740591\pi\)
0.863131 0.504980i \(-0.168500\pi\)
\(68\) −7.01595 −0.850808
\(69\) −4.01660 + 2.62048i −0.483542 + 0.315469i
\(70\) 0.247532 0.0295858
\(71\) 0.519931 3.61620i 0.0617044 0.429164i −0.935430 0.353512i \(-0.884987\pi\)
0.997134 0.0756515i \(-0.0241037\pi\)
\(72\) −0.415415 0.909632i −0.0489571 0.107201i
\(73\) −14.9793 4.39831i −1.75319 0.514783i −0.762041 0.647529i \(-0.775803\pi\)
−0.991150 + 0.132745i \(0.957621\pi\)
\(74\) 0.244627 + 0.282315i 0.0284373 + 0.0328184i
\(75\) −0.959493 + 0.281733i −0.110793 + 0.0325317i
\(76\) −6.75131 4.33880i −0.774428 0.497695i
\(77\) −0.0780530 + 0.170912i −0.00889497 + 0.0194773i
\(78\) −1.90802 + 2.20197i −0.216040 + 0.249324i
\(79\) −7.14726 + 4.59327i −0.804130 + 0.516783i −0.876961 0.480561i \(-0.840433\pi\)
0.0728311 + 0.997344i \(0.476797\pi\)
\(80\) 0.142315 + 0.989821i 0.0159113 + 0.110665i
\(81\) −0.142315 0.989821i −0.0158128 0.109980i
\(82\) 10.7687 6.92062i 1.18920 0.764255i
\(83\) 7.22752 8.34101i 0.793324 0.915544i −0.204672 0.978831i \(-0.565613\pi\)
0.997995 + 0.0632862i \(0.0201581\pi\)
\(84\) 0.102829 0.225163i 0.0112195 0.0245673i
\(85\) 5.90219 + 3.79311i 0.640182 + 0.411420i
\(86\) −3.48685 + 1.02383i −0.375997 + 0.110403i
\(87\) −5.02148 5.79510i −0.538359 0.621300i
\(88\) −0.728312 0.213852i −0.0776384 0.0227967i
\(89\) −1.09693 2.40194i −0.116274 0.254605i 0.842543 0.538629i \(-0.181058\pi\)
−0.958817 + 0.284024i \(0.908330\pi\)
\(90\) −0.142315 + 0.989821i −0.0150013 + 0.104336i
\(91\) −0.721215 −0.0756038
\(92\) 0.649886 4.75159i 0.0677553 0.495388i
\(93\) −3.18035 −0.329787
\(94\) −0.495422 + 3.44574i −0.0510989 + 0.355401i
\(95\) 3.33383 + 7.30007i 0.342044 + 0.748971i
\(96\) 0.959493 + 0.281733i 0.0979278 + 0.0287542i
\(97\) −7.63862 8.81543i −0.775584 0.895072i 0.221198 0.975229i \(-0.429003\pi\)
−0.996782 + 0.0801571i \(0.974458\pi\)
\(98\) −6.65766 + 1.95487i −0.672525 + 0.197471i
\(99\) −0.638562 0.410379i −0.0641779 0.0412446i
\(100\) 0.415415 0.909632i 0.0415415 0.0909632i
\(101\) −4.48662 + 5.17784i −0.446436 + 0.515214i −0.933708 0.358036i \(-0.883447\pi\)
0.487272 + 0.873250i \(0.337992\pi\)
\(102\) 5.90219 3.79311i 0.584404 0.375574i
\(103\) −0.722293 5.02366i −0.0711696 0.494996i −0.993964 0.109704i \(-0.965010\pi\)
0.922795 0.385292i \(-0.125899\pi\)
\(104\) −0.414651 2.88396i −0.0406599 0.282796i
\(105\) −0.208237 + 0.133826i −0.0203219 + 0.0130601i
\(106\) 6.45391 7.44821i 0.626859 0.723434i
\(107\) −7.89121 + 17.2793i −0.762872 + 1.67046i −0.0211256 + 0.999777i \(0.506725\pi\)
−0.741747 + 0.670680i \(0.766002\pi\)
\(108\) 0.841254 + 0.540641i 0.0809497 + 0.0520232i
\(109\) −7.48610 + 2.19812i −0.717039 + 0.210542i −0.619845 0.784724i \(-0.712805\pi\)
−0.0971933 + 0.995266i \(0.530987\pi\)
\(110\) 0.497078 + 0.573659i 0.0473946 + 0.0546962i
\(111\) −0.358424 0.105243i −0.0340201 0.00998921i
\(112\) 0.102829 + 0.225163i 0.00971639 + 0.0212759i
\(113\) −0.00792130 + 0.0550939i −0.000745173 + 0.00518279i −0.990191 0.139723i \(-0.955379\pi\)
0.989445 + 0.144906i \(0.0462879\pi\)
\(114\) 8.02530 0.751638
\(115\) −3.11563 + 3.64594i −0.290534 + 0.339986i
\(116\) 7.66802 0.711957
\(117\) 0.414651 2.88396i 0.0383345 0.266623i
\(118\) −5.70451 12.4911i −0.525142 1.14990i
\(119\) 1.66632 + 0.489277i 0.152752 + 0.0448520i
\(120\) −0.654861 0.755750i −0.0597803 0.0689902i
\(121\) 10.0016 2.93673i 0.909235 0.266976i
\(122\) −2.61596 1.68118i −0.236838 0.152207i
\(123\) −5.31764 + 11.6440i −0.479475 + 1.04990i
\(124\) 2.08269 2.40355i 0.187031 0.215845i
\(125\) −0.841254 + 0.540641i −0.0752440 + 0.0483564i
\(126\) 0.0352275 + 0.245013i 0.00313831 + 0.0218275i
\(127\) −2.94522 20.4845i −0.261346 1.81770i −0.522766 0.852476i \(-0.675100\pi\)
0.261420 0.965225i \(-0.415809\pi\)
\(128\) −0.841254 + 0.540641i −0.0743570 + 0.0477863i
\(129\) 2.37980 2.74644i 0.209530 0.241810i
\(130\) −1.21036 + 2.65032i −0.106156 + 0.232449i
\(131\) 0.952898 + 0.612390i 0.0832551 + 0.0535048i 0.581606 0.813471i \(-0.302425\pi\)
−0.498351 + 0.866975i \(0.666061\pi\)
\(132\) 0.728312 0.213852i 0.0633915 0.0186134i
\(133\) 1.30089 + 1.50131i 0.112802 + 0.130180i
\(134\) −9.78074 2.87188i −0.844927 0.248093i
\(135\) −0.415415 0.909632i −0.0357532 0.0782887i
\(136\) −0.998473 + 6.94453i −0.0856184 + 0.595489i
\(137\) −21.0104 −1.79504 −0.897519 0.440975i \(-0.854633\pi\)
−0.897519 + 0.440975i \(0.854633\pi\)
\(138\) 2.02219 + 4.34865i 0.172140 + 0.370182i
\(139\) 10.2677 0.870894 0.435447 0.900214i \(-0.356590\pi\)
0.435447 + 0.900214i \(0.356590\pi\)
\(140\) 0.0352275 0.245013i 0.00297727 0.0207073i
\(141\) −1.44613 3.16658i −0.121786 0.266674i
\(142\) −3.50540 1.02928i −0.294166 0.0863751i
\(143\) −1.44830 1.67142i −0.121113 0.139772i
\(144\) −0.959493 + 0.281733i −0.0799577 + 0.0234777i
\(145\) −6.45074 4.14564i −0.535705 0.344277i
\(146\) −6.48532 + 14.2009i −0.536729 + 1.17527i
\(147\) 4.54390 5.24394i 0.374775 0.432513i
\(148\) 0.314255 0.201959i 0.0258316 0.0166010i
\(149\) −0.397912 2.76754i −0.0325982 0.226726i 0.967009 0.254741i \(-0.0819903\pi\)
−0.999607 + 0.0280156i \(0.991081\pi\)
\(150\) 0.142315 + 0.989821i 0.0116200 + 0.0808186i
\(151\) 1.73508 1.11507i 0.141199 0.0907428i −0.468134 0.883657i \(-0.655074\pi\)
0.609333 + 0.792915i \(0.291437\pi\)
\(152\) −5.25545 + 6.06512i −0.426274 + 0.491946i
\(153\) −2.91453 + 6.38193i −0.235626 + 0.515948i
\(154\) 0.158065 + 0.101582i 0.0127372 + 0.00818570i
\(155\) −3.05153 + 0.896009i −0.245105 + 0.0719692i
\(156\) 1.90802 + 2.20197i 0.152763 + 0.176298i
\(157\) −17.5515 5.15359i −1.40076 0.411301i −0.507817 0.861465i \(-0.669547\pi\)
−0.892946 + 0.450164i \(0.851366\pi\)
\(158\) 3.52935 + 7.72821i 0.280780 + 0.614823i
\(159\) −1.40257 + 9.75508i −0.111231 + 0.773628i
\(160\) 1.00000 0.0790569
\(161\) −0.485718 + 1.08321i −0.0382799 + 0.0853687i
\(162\) −1.00000 −0.0785674
\(163\) 1.40661 9.78316i 0.110174 0.766276i −0.857575 0.514359i \(-0.828030\pi\)
0.967749 0.251917i \(-0.0810611\pi\)
\(164\) −5.31764 11.6440i −0.415238 0.909244i
\(165\) −0.728312 0.213852i −0.0566990 0.0166483i
\(166\) −7.22752 8.34101i −0.560965 0.647388i
\(167\) 17.4151 5.11355i 1.34762 0.395698i 0.473241 0.880933i \(-0.343084\pi\)
0.874384 + 0.485235i \(0.161266\pi\)
\(168\) −0.208237 0.133826i −0.0160659 0.0103249i
\(169\) −1.87386 + 4.10318i −0.144143 + 0.315630i
\(170\) 4.59447 5.30230i 0.352380 0.406668i
\(171\) −6.75131 + 4.33880i −0.516286 + 0.331797i
\(172\) 0.517181 + 3.59707i 0.0394347 + 0.274274i
\(173\) −1.76194 12.2546i −0.133958 0.931697i −0.940324 0.340280i \(-0.889478\pi\)
0.806366 0.591416i \(-0.201431\pi\)
\(174\) −6.45074 + 4.14564i −0.489030 + 0.314280i
\(175\) −0.162099 + 0.187072i −0.0122535 + 0.0141413i
\(176\) −0.315325 + 0.690465i −0.0237685 + 0.0520458i
\(177\) 11.5521 + 7.42412i 0.868313 + 0.558031i
\(178\) −2.53360 + 0.743931i −0.189901 + 0.0557600i
\(179\) 1.92958 + 2.22685i 0.144224 + 0.166443i 0.823265 0.567657i \(-0.192150\pi\)
−0.679042 + 0.734100i \(0.737604\pi\)
\(180\) 0.959493 + 0.281733i 0.0715164 + 0.0209991i
\(181\) 8.75540 + 19.1716i 0.650783 + 1.42502i 0.890867 + 0.454265i \(0.150098\pi\)
−0.240083 + 0.970752i \(0.577175\pi\)
\(182\) −0.102640 + 0.713874i −0.00760815 + 0.0529158i
\(183\) 3.10960 0.229868
\(184\) −4.61074 1.31949i −0.339908 0.0972744i
\(185\) −0.373556 −0.0274644
\(186\) −0.452612 + 3.14798i −0.0331871 + 0.230821i
\(187\) 2.21230 + 4.84427i 0.161780 + 0.354248i
\(188\) 3.34016 + 0.980759i 0.243606 + 0.0715292i
\(189\) −0.162099 0.187072i −0.0117910 0.0136075i
\(190\) 7.70022 2.26099i 0.558632 0.164029i
\(191\) 16.6713 + 10.7140i 1.20629 + 0.775236i 0.980034 0.198832i \(-0.0637148\pi\)
0.226257 + 0.974068i \(0.427351\pi\)
\(192\) 0.415415 0.909632i 0.0299800 0.0656470i
\(193\) −9.62317 + 11.1057i −0.692691 + 0.799408i −0.987746 0.156073i \(-0.950117\pi\)
0.295055 + 0.955480i \(0.404662\pi\)
\(194\) −9.81279 + 6.30630i −0.704518 + 0.452766i
\(195\) −0.414651 2.88396i −0.0296938 0.206525i
\(196\) 0.987484 + 6.86810i 0.0705346 + 0.490579i
\(197\) −9.47647 + 6.09016i −0.675170 + 0.433906i −0.832786 0.553595i \(-0.813256\pi\)
0.157616 + 0.987501i \(0.449619\pi\)
\(198\) −0.497078 + 0.573659i −0.0353258 + 0.0407682i
\(199\) 5.64551 12.3619i 0.400199 0.876314i −0.597051 0.802203i \(-0.703661\pi\)
0.997250 0.0741107i \(-0.0236118\pi\)
\(200\) −0.841254 0.540641i −0.0594856 0.0382291i
\(201\) 9.78074 2.87188i 0.689880 0.202567i
\(202\) 4.48662 + 5.17784i 0.315678 + 0.364312i
\(203\) −1.82119 0.534751i −0.127823 0.0375322i
\(204\) −2.91453 6.38193i −0.204058 0.446824i
\(205\) −1.82174 + 12.6705i −0.127236 + 0.884945i
\(206\) −5.07532 −0.353614
\(207\) −4.05223 2.56504i −0.281649 0.178283i
\(208\) −2.91362 −0.202023
\(209\) −0.866937 + 6.02968i −0.0599673 + 0.417081i
\(210\) 0.102829 + 0.225163i 0.00709585 + 0.0155377i
\(211\) −11.3184 3.32337i −0.779188 0.228790i −0.132132 0.991232i \(-0.542182\pi\)
−0.647057 + 0.762442i \(0.724000\pi\)
\(212\) −6.45391 7.44821i −0.443256 0.511545i
\(213\) 3.50540 1.02928i 0.240186 0.0705249i
\(214\) 15.9804 + 10.2700i 1.09240 + 0.702043i
\(215\) 1.50964 3.30566i 0.102957 0.225444i
\(216\) 0.654861 0.755750i 0.0445576 0.0514222i
\(217\) −0.662268 + 0.425614i −0.0449577 + 0.0288926i
\(218\) 1.11036 + 7.72273i 0.0752031 + 0.523049i
\(219\) −2.22177 15.4528i −0.150133 1.04420i
\(220\) 0.638562 0.410379i 0.0430518 0.0276677i
\(221\) −13.3865 + 15.4489i −0.900476 + 1.03920i
\(222\) −0.155181 + 0.339798i −0.0104150 + 0.0228058i
\(223\) 4.39442 + 2.82412i 0.294272 + 0.189117i 0.679443 0.733728i \(-0.262221\pi\)
−0.385171 + 0.922845i \(0.625858\pi\)
\(224\) 0.237505 0.0697379i 0.0158690 0.00465956i
\(225\) −0.654861 0.755750i −0.0436574 0.0503833i
\(226\) 0.0534058 + 0.0156813i 0.00355250 + 0.00104311i
\(227\) −3.97630 8.70687i −0.263916 0.577896i 0.730561 0.682847i \(-0.239259\pi\)
−0.994477 + 0.104952i \(0.966531\pi\)
\(228\) 1.14212 7.94361i 0.0756387 0.526079i
\(229\) 10.4808 0.692589 0.346295 0.938126i \(-0.387440\pi\)
0.346295 + 0.938126i \(0.387440\pi\)
\(230\) 3.16543 + 3.60278i 0.208722 + 0.237561i
\(231\) −0.187892 −0.0123624
\(232\) 1.09127 7.58997i 0.0716455 0.498306i
\(233\) −10.3733 22.7144i −0.679580 1.48807i −0.863087 0.505055i \(-0.831472\pi\)
0.183507 0.983018i \(-0.441255\pi\)
\(234\) −2.79560 0.820862i −0.182754 0.0536614i
\(235\) −2.27968 2.63089i −0.148710 0.171621i
\(236\) −13.1758 + 3.86877i −0.857673 + 0.251835i
\(237\) −7.14726 4.59327i −0.464265 0.298365i
\(238\) 0.721440 1.57973i 0.0467640 0.102399i
\(239\) 4.57194 5.27629i 0.295734 0.341295i −0.588365 0.808596i \(-0.700228\pi\)
0.884098 + 0.467301i \(0.154773\pi\)
\(240\) −0.841254 + 0.540641i −0.0543027 + 0.0348982i
\(241\) 0.413617 + 2.87677i 0.0266434 + 0.185309i 0.998797 0.0490354i \(-0.0156147\pi\)
−0.972154 + 0.234345i \(0.924706\pi\)
\(242\) −1.48347 10.3177i −0.0953608 0.663249i
\(243\) 0.841254 0.540641i 0.0539664 0.0346821i
\(244\) −2.03635 + 2.35008i −0.130364 + 0.150448i
\(245\) 2.88245 6.31169i 0.184153 0.403239i
\(246\) 10.7687 + 6.92062i 0.686587 + 0.441243i
\(247\) −22.4355 + 6.58766i −1.42754 + 0.419163i
\(248\) −2.08269 2.40355i −0.132251 0.152626i
\(249\) 10.5897 + 3.10941i 0.671093 + 0.197051i
\(250\) 0.415415 + 0.909632i 0.0262732 + 0.0575302i
\(251\) −0.876307 + 6.09485i −0.0553120 + 0.384703i 0.943296 + 0.331953i \(0.107708\pi\)
−0.998608 + 0.0527499i \(0.983201\pi\)
\(252\) 0.247532 0.0155931
\(253\) −3.48573 + 1.04957i −0.219146 + 0.0659860i
\(254\) −20.6951 −1.29853
\(255\) −0.998473 + 6.94453i −0.0625268 + 0.434884i
\(256\) 0.415415 + 0.909632i 0.0259634 + 0.0568520i
\(257\) −25.3782 7.45171i −1.58305 0.464825i −0.632283 0.774737i \(-0.717882\pi\)
−0.950765 + 0.309912i \(0.899700\pi\)
\(258\) −2.37980 2.74644i −0.148160 0.170986i
\(259\) −0.0887215 + 0.0260510i −0.00551288 + 0.00161873i
\(260\) 2.45109 + 1.57522i 0.152010 + 0.0976911i
\(261\) 3.18541 6.97507i 0.197172 0.431746i
\(262\) 0.741769 0.856047i 0.0458266 0.0528867i
\(263\) 13.0195 8.36711i 0.802815 0.515938i −0.0737181 0.997279i \(-0.523487\pi\)
0.876533 + 0.481341i \(0.159850\pi\)
\(264\) −0.108025 0.751334i −0.00664851 0.0462414i
\(265\) 1.40257 + 9.75508i 0.0861591 + 0.599250i
\(266\) 1.67117 1.07399i 0.102466 0.0658508i
\(267\) 1.72920 1.99560i 0.105825 0.122129i
\(268\) −4.23460 + 9.27247i −0.258669 + 0.566406i
\(269\) 22.1137 + 14.2116i 1.34830 + 0.866497i 0.997549 0.0699732i \(-0.0222914\pi\)
0.350747 + 0.936470i \(0.385928\pi\)
\(270\) −0.959493 + 0.281733i −0.0583929 + 0.0171457i
\(271\) −10.3517 11.9466i −0.628824 0.725702i 0.348533 0.937296i \(-0.386680\pi\)
−0.977357 + 0.211595i \(0.932134\pi\)
\(272\) 6.73175 + 1.97662i 0.408172 + 0.119850i
\(273\) −0.299603 0.656040i −0.0181328 0.0397053i
\(274\) −2.99009 + 20.7965i −0.180638 + 1.25636i
\(275\) −0.759060 −0.0457730
\(276\) 4.59217 1.38273i 0.276416 0.0832303i
\(277\) 20.0951 1.20740 0.603699 0.797212i \(-0.293693\pi\)
0.603699 + 0.797212i \(0.293693\pi\)
\(278\) 1.46124 10.1632i 0.0876396 0.609547i
\(279\) −1.32117 2.89295i −0.0790962 0.173196i
\(280\) −0.237505 0.0697379i −0.0141937 0.00416763i
\(281\) −11.6516 13.4466i −0.695075 0.802160i 0.293003 0.956111i \(-0.405345\pi\)
−0.988078 + 0.153952i \(0.950800\pi\)
\(282\) −3.34016 + 0.980759i −0.198904 + 0.0584033i
\(283\) 7.90611 + 5.08095i 0.469969 + 0.302031i 0.754106 0.656753i \(-0.228071\pi\)
−0.284137 + 0.958784i \(0.591707\pi\)
\(284\) −1.51767 + 3.32324i −0.0900572 + 0.197198i
\(285\) −5.25545 + 6.06512i −0.311306 + 0.359266i
\(286\) −1.86053 + 1.19569i −0.110015 + 0.0707025i
\(287\) 0.450939 + 3.13635i 0.0266181 + 0.185133i
\(288\) 0.142315 + 0.989821i 0.00838598 + 0.0583258i
\(289\) 27.1081 17.4213i 1.59460 1.02478i
\(290\) −5.02148 + 5.79510i −0.294872 + 0.340300i
\(291\) 4.84561 10.6104i 0.284054 0.621992i
\(292\) 13.1334 + 8.44030i 0.768572 + 0.493931i
\(293\) 25.1073 7.37216i 1.46678 0.430686i 0.551731 0.834022i \(-0.313967\pi\)
0.915052 + 0.403336i \(0.132149\pi\)
\(294\) −4.54390 5.24394i −0.265006 0.305833i
\(295\) 13.1758 + 3.86877i 0.767126 + 0.225248i
\(296\) −0.155181 0.339798i −0.00901969 0.0197504i
\(297\) 0.108025 0.751334i 0.00626827 0.0435968i
\(298\) −2.79600 −0.161968
\(299\) −9.22286 10.4971i −0.533372 0.607065i
\(300\) 1.00000 0.0577350
\(301\) 0.128019 0.890391i 0.00737888 0.0513213i
\(302\) −0.856789 1.87611i −0.0493027 0.107958i
\(303\) −6.57374 1.93022i −0.377651 0.110888i
\(304\) 5.25545 + 6.06512i 0.301421 + 0.347858i
\(305\) 2.98364 0.876075i 0.170843 0.0501639i
\(306\) 5.90219 + 3.79311i 0.337406 + 0.216837i
\(307\) 4.49329 9.83892i 0.256445 0.561537i −0.736994 0.675900i \(-0.763755\pi\)
0.993439 + 0.114363i \(0.0364825\pi\)
\(308\) 0.123043 0.141999i 0.00701102 0.00809115i
\(309\) 4.26963 2.74392i 0.242891 0.156096i
\(310\) 0.452612 + 3.14798i 0.0257066 + 0.178793i
\(311\) 3.60527 + 25.0752i 0.204436 + 1.42189i 0.790918 + 0.611923i \(0.209604\pi\)
−0.586481 + 0.809963i \(0.699487\pi\)
\(312\) 2.45109 1.57522i 0.138766 0.0891794i
\(313\) 0.816373 0.942145i 0.0461441 0.0532532i −0.732208 0.681081i \(-0.761510\pi\)
0.778352 + 0.627828i \(0.216056\pi\)
\(314\) −7.59897 + 16.6394i −0.428835 + 0.939017i
\(315\) −0.208237 0.133826i −0.0117328 0.00754024i
\(316\) 8.15182 2.39359i 0.458576 0.134650i
\(317\) 4.45714 + 5.14381i 0.250338 + 0.288905i 0.866985 0.498334i \(-0.166055\pi\)
−0.616647 + 0.787240i \(0.711509\pi\)
\(318\) 9.45618 + 2.77659i 0.530276 + 0.155703i
\(319\) −2.41792 5.29450i −0.135377 0.296435i
\(320\) 0.142315 0.989821i 0.00795564 0.0553327i
\(321\) −18.9960 −1.06025
\(322\) 1.00306 + 0.634930i 0.0558982 + 0.0353833i
\(323\) 56.3051 3.13290
\(324\) −0.142315 + 0.989821i −0.00790638 + 0.0549901i
\(325\) −1.21036 2.65032i −0.0671388 0.147013i
\(326\) −9.48340 2.78458i −0.525237 0.154224i
\(327\) −5.10932 5.89647i −0.282546 0.326075i
\(328\) −12.2823 + 3.60640i −0.678174 + 0.199130i
\(329\) −0.724909 0.465871i −0.0399656 0.0256843i
\(330\) −0.315325 + 0.690465i −0.0173581 + 0.0380088i
\(331\) 10.4877 12.1034i 0.576454 0.665263i −0.390384 0.920652i \(-0.627658\pi\)
0.966839 + 0.255388i \(0.0822034\pi\)
\(332\) −9.28469 + 5.96691i −0.509564 + 0.327477i
\(333\) −0.0531625 0.369753i −0.00291329 0.0202624i
\(334\) −2.58307 17.9656i −0.141339 0.983035i
\(335\) 8.57544 5.51110i 0.468527 0.301104i
\(336\) −0.162099 + 0.187072i −0.00884323 + 0.0102056i
\(337\) −3.26141 + 7.14148i −0.177660 + 0.389021i −0.977422 0.211296i \(-0.932232\pi\)
0.799762 + 0.600317i \(0.204959\pi\)
\(338\) 3.79474 + 2.43873i 0.206407 + 0.132650i
\(339\) −0.0534058 + 0.0156813i −0.00290060 + 0.000851694i
\(340\) −4.59447 5.30230i −0.249170 0.287558i
\(341\) −2.31629 0.680124i −0.125434 0.0368308i
\(342\) 3.33383 + 7.30007i 0.180273 + 0.394742i
\(343\) 0.491026 3.41516i 0.0265129 0.184402i
\(344\) 3.63406 0.195935
\(345\) −4.61074 1.31949i −0.248234 0.0710392i
\(346\) −12.3806 −0.665584
\(347\) 1.61998 11.2672i 0.0869653 0.604857i −0.899005 0.437938i \(-0.855709\pi\)
0.985971 0.166919i \(-0.0533819\pi\)
\(348\) 3.18541 + 6.97507i 0.170756 + 0.373903i
\(349\) 8.31575 + 2.44172i 0.445132 + 0.130702i 0.496614 0.867971i \(-0.334576\pi\)
−0.0514823 + 0.998674i \(0.516395\pi\)
\(350\) 0.162099 + 0.187072i 0.00866456 + 0.00999944i
\(351\) 2.79560 0.820862i 0.149218 0.0438144i
\(352\) 0.638562 + 0.410379i 0.0340355 + 0.0218733i
\(353\) −8.62438 + 18.8848i −0.459029 + 1.00513i 0.528678 + 0.848822i \(0.322688\pi\)
−0.987708 + 0.156312i \(0.950040\pi\)
\(354\) 8.99259 10.3780i 0.477951 0.551585i
\(355\) 3.07342 1.97517i 0.163120 0.104831i
\(356\) 0.375791 + 2.61368i 0.0199169 + 0.138525i
\(357\) 0.247154 + 1.71900i 0.0130808 + 0.0909789i
\(358\) 2.47879 1.59302i 0.131008 0.0841940i
\(359\) 6.37551 7.35773i 0.336487 0.388326i −0.562139 0.827043i \(-0.690021\pi\)
0.898625 + 0.438717i \(0.144567\pi\)
\(360\) 0.415415 0.909632i 0.0218943 0.0479418i
\(361\) 38.1975 + 24.5480i 2.01039 + 1.29200i
\(362\) 20.2225 5.93787i 1.06287 0.312087i
\(363\) 6.82616 + 7.87780i 0.358280 + 0.413477i
\(364\) 0.692000 + 0.203190i 0.0362707 + 0.0106500i
\(365\) −6.48532 14.2009i −0.339457 0.743307i
\(366\) 0.442542 3.07795i 0.0231320 0.160887i
\(367\) −20.5556 −1.07299 −0.536497 0.843902i \(-0.680253\pi\)
−0.536497 + 0.843902i \(0.680253\pi\)
\(368\) −1.96224 + 4.37603i −0.102289 + 0.228116i
\(369\) −12.8008 −0.666382
\(370\) −0.0531625 + 0.369753i −0.00276379 + 0.0192226i
\(371\) 1.01342 + 2.21907i 0.0526139 + 0.115208i
\(372\) 3.05153 + 0.896009i 0.158214 + 0.0464559i
\(373\) 5.68881 + 6.56524i 0.294555 + 0.339935i 0.883667 0.468117i \(-0.155067\pi\)
−0.589111 + 0.808052i \(0.700522\pi\)
\(374\) 5.10980 1.50037i 0.264222 0.0775824i
\(375\) −0.841254 0.540641i −0.0434421 0.0279186i
\(376\) 1.44613 3.16658i 0.0745785 0.163304i
\(377\) 14.6307 16.8847i 0.753519 0.869607i
\(378\) −0.208237 + 0.133826i −0.0107106 + 0.00688327i
\(379\) 2.59439 + 18.0444i 0.133265 + 0.926879i 0.941258 + 0.337687i \(0.109645\pi\)
−0.807993 + 0.589192i \(0.799446\pi\)
\(380\) −1.14212 7.94361i −0.0585895 0.407499i
\(381\) 17.4098 11.1886i 0.891932 0.573210i
\(382\) 12.9775 14.9768i 0.663986 0.766281i
\(383\) 13.2788 29.0765i 0.678515 1.48574i −0.185693 0.982608i \(-0.559453\pi\)
0.864209 0.503134i \(-0.167820\pi\)
\(384\) −0.841254 0.540641i −0.0429300 0.0275895i
\(385\) −0.180281 + 0.0529352i −0.00918796 + 0.00269783i
\(386\) 9.62317 + 11.1057i 0.489806 + 0.565267i
\(387\) 3.48685 + 1.02383i 0.177247 + 0.0520444i
\(388\) 4.84561 + 10.6104i 0.245998 + 0.538661i
\(389\) 3.11004 21.6308i 0.157685 1.09672i −0.745200 0.666842i \(-0.767646\pi\)
0.902885 0.429883i \(-0.141445\pi\)
\(390\) −2.91362 −0.147537
\(391\) 14.1876 + 30.5099i 0.717495 + 1.54295i
\(392\) 6.93873 0.350459
\(393\) −0.161202 + 1.12118i −0.00813155 + 0.0565562i
\(394\) 4.67953 + 10.2467i 0.235751 + 0.516223i
\(395\) −8.15182 2.39359i −0.410163 0.120435i
\(396\) 0.497078 + 0.573659i 0.0249791 + 0.0288275i
\(397\) −31.7195 + 9.31368i −1.59195 + 0.467440i −0.953293 0.302048i \(-0.902330\pi\)
−0.638662 + 0.769488i \(0.720512\pi\)
\(398\) −11.4327 7.34733i −0.573068 0.368288i
\(399\) −0.825230 + 1.80700i −0.0413132 + 0.0904632i
\(400\) −0.654861 + 0.755750i −0.0327430 + 0.0377875i
\(401\) 0.766423 0.492550i 0.0382733 0.0245968i −0.521364 0.853334i \(-0.674577\pi\)
0.559638 + 0.828737i \(0.310940\pi\)
\(402\) −1.45071 10.0899i −0.0723547 0.503238i
\(403\) −1.31874 9.17202i −0.0656910 0.456891i
\(404\) 5.76365 3.70407i 0.286752 0.184285i
\(405\) 0.654861 0.755750i 0.0325403 0.0375535i
\(406\) −0.788491 + 1.72655i −0.0391322 + 0.0856875i
\(407\) −0.238538 0.153299i −0.0118239 0.00759876i
\(408\) −6.73175 + 1.97662i −0.333271 + 0.0978573i
\(409\) −5.07957 5.86214i −0.251169 0.289864i 0.616138 0.787638i \(-0.288696\pi\)
−0.867307 + 0.497774i \(0.834151\pi\)
\(410\) 12.2823 + 3.60640i 0.606578 + 0.178107i
\(411\) −8.72803 19.1117i −0.430522 0.942712i
\(412\) −0.722293 + 5.02366i −0.0355848 + 0.247498i
\(413\) 3.39913 0.167260
\(414\) −3.11563 + 3.64594i −0.153125 + 0.179188i
\(415\) 11.0367 0.541772
\(416\) −0.414651 + 2.88396i −0.0203300 + 0.141398i
\(417\) 4.26535 + 9.33981i 0.208875 + 0.457373i
\(418\) 5.84492 + 1.71622i 0.285885 + 0.0839433i
\(419\) −9.41388 10.8642i −0.459898 0.530751i 0.477676 0.878536i \(-0.341479\pi\)
−0.937574 + 0.347785i \(0.886934\pi\)
\(420\) 0.237505 0.0697379i 0.0115891 0.00340286i
\(421\) −5.71150 3.67056i −0.278361 0.178892i 0.394010 0.919106i \(-0.371088\pi\)
−0.672371 + 0.740214i \(0.734724\pi\)
\(422\) −4.90032 + 10.7302i −0.238544 + 0.522338i
\(423\) 2.27968 2.63089i 0.110842 0.127918i
\(424\) −8.29089 + 5.32823i −0.402641 + 0.258762i
\(425\) 0.998473 + 6.94453i 0.0484331 + 0.336859i
\(426\) −0.519931 3.61620i −0.0251907 0.175205i
\(427\) 0.647534 0.416145i 0.0313364 0.0201387i
\(428\) 12.4397 14.3562i 0.601296 0.693933i
\(429\) 0.918737 2.01175i 0.0443570 0.0971283i
\(430\) −3.05717 1.96472i −0.147430 0.0947473i
\(431\) −25.7963 + 7.57447i −1.24256 + 0.364849i −0.835978 0.548763i \(-0.815099\pi\)
−0.406585 + 0.913613i \(0.633281\pi\)
\(432\) −0.654861 0.755750i −0.0315070 0.0363610i
\(433\) 12.1982 + 3.58171i 0.586208 + 0.172126i 0.561369 0.827565i \(-0.310275\pi\)
0.0248384 + 0.999691i \(0.492093\pi\)
\(434\) 0.327031 + 0.716098i 0.0156980 + 0.0343738i
\(435\) 1.09127 7.58997i 0.0523225 0.363911i
\(436\) 7.80215 0.373655
\(437\) −5.21553 + 38.1330i −0.249493 + 1.82415i
\(438\) −15.6117 −0.745954
\(439\) 0.489611 3.40532i 0.0233679 0.162527i −0.974796 0.223098i \(-0.928383\pi\)
0.998164 + 0.0605709i \(0.0192921\pi\)
\(440\) −0.315325 0.690465i −0.0150325 0.0329166i
\(441\) 6.65766 + 1.95487i 0.317031 + 0.0930888i
\(442\) 13.3865 + 15.4489i 0.636732 + 0.734828i
\(443\) 23.7826 6.98320i 1.12994 0.331782i 0.337259 0.941412i \(-0.390500\pi\)
0.792686 + 0.609630i \(0.208682\pi\)
\(444\) 0.314255 + 0.201959i 0.0149139 + 0.00958457i
\(445\) 1.09693 2.40194i 0.0519994 0.113863i
\(446\) 3.42076 3.94777i 0.161978 0.186932i
\(447\) 2.35214 1.51163i 0.111253 0.0714977i
\(448\) −0.0352275 0.245013i −0.00166434 0.0115758i
\(449\) 3.99444 + 27.7820i 0.188509 + 1.31111i 0.835870 + 0.548928i \(0.184964\pi\)
−0.647360 + 0.762184i \(0.724127\pi\)
\(450\) −0.841254 + 0.540641i −0.0396571 + 0.0254861i
\(451\) −6.36299 + 7.34328i −0.299622 + 0.345782i
\(452\) 0.0231222 0.0506305i 0.00108758 0.00238146i
\(453\) 1.73508 + 1.11507i 0.0815210 + 0.0523904i
\(454\) −9.18414 + 2.69671i −0.431033 + 0.126563i
\(455\) −0.472295 0.545058i −0.0221415 0.0255527i
\(456\) −7.70022 2.26099i −0.360596 0.105880i
\(457\) 0.128363 + 0.281076i 0.00600456 + 0.0131482i 0.912611 0.408830i \(-0.134063\pi\)
−0.906606 + 0.421978i \(0.861336\pi\)
\(458\) 1.49157 10.3741i 0.0696965 0.484750i
\(459\) −7.01595 −0.327476
\(460\) 4.01660 2.62048i 0.187275 0.122181i
\(461\) −20.4790 −0.953802 −0.476901 0.878957i \(-0.658240\pi\)
−0.476901 + 0.878957i \(0.658240\pi\)
\(462\) −0.0267398 + 0.185979i −0.00124405 + 0.00865254i
\(463\) 0.611236 + 1.33842i 0.0284065 + 0.0622017i 0.923303 0.384071i \(-0.125478\pi\)
−0.894897 + 0.446273i \(0.852751\pi\)
\(464\) −7.35741 2.16033i −0.341559 0.100291i
\(465\) −2.08269 2.40355i −0.0965824 0.111462i
\(466\) −23.9595 + 7.03515i −1.10990 + 0.325897i
\(467\) 15.8045 + 10.1569i 0.731343 + 0.470006i 0.852566 0.522620i \(-0.175045\pi\)
−0.121223 + 0.992625i \(0.538682\pi\)
\(468\) −1.21036 + 2.65032i −0.0559490 + 0.122511i
\(469\) 1.65238 1.90695i 0.0762999 0.0880548i
\(470\) −2.92855 + 1.88206i −0.135084 + 0.0868131i
\(471\) −2.60329 18.1063i −0.119953 0.834294i
\(472\) 1.95428 + 13.5923i 0.0899529 + 0.625636i
\(473\) 2.32057 1.49134i 0.106700 0.0685719i
\(474\) −5.56368 + 6.42083i −0.255548 + 0.294918i
\(475\) −3.33383 + 7.30007i −0.152967 + 0.334950i
\(476\) −1.46098 0.938916i −0.0669640 0.0430351i
\(477\) −9.45618 + 2.77659i −0.432969 + 0.127131i
\(478\) −4.57194 5.27629i −0.209115 0.241332i
\(479\) −15.6248 4.58785i −0.713914 0.209624i −0.0954465 0.995435i \(-0.530428\pi\)
−0.618467 + 0.785811i \(0.712246\pi\)
\(480\) 0.415415 + 0.909632i 0.0189610 + 0.0415188i
\(481\) 0.154895 1.07732i 0.00706262 0.0491216i
\(482\) 2.90635 0.132381
\(483\) −1.18709 + 0.00815640i −0.0540147 + 0.000371129i
\(484\) −10.4238 −0.473810
\(485\) 1.66003 11.5458i 0.0753781 0.524266i
\(486\) −0.415415 0.909632i −0.0188436 0.0412617i
\(487\) 16.4854 + 4.84054i 0.747024 + 0.219346i 0.633021 0.774134i \(-0.281815\pi\)
0.114003 + 0.993480i \(0.463633\pi\)
\(488\) 2.03635 + 2.35008i 0.0921814 + 0.106383i
\(489\) 9.48340 2.78458i 0.428854 0.125923i
\(490\) −5.83723 3.75136i −0.263699 0.169469i
\(491\) 5.64101 12.3521i 0.254575 0.557442i −0.738591 0.674154i \(-0.764508\pi\)
0.993166 + 0.116712i \(0.0372355\pi\)
\(492\) 8.38273 9.67418i 0.377923 0.436146i
\(493\) −45.2581 + 29.0856i −2.03832 + 1.30995i
\(494\) 3.32770 + 23.1447i 0.149720 + 1.04133i
\(495\) −0.108025 0.751334i −0.00485538 0.0337699i
\(496\) −2.67548 + 1.71943i −0.120133 + 0.0772046i
\(497\) 0.592210 0.683447i 0.0265643 0.0306568i
\(498\) 4.58483 10.0394i 0.205451 0.449875i
\(499\) 5.08949 + 3.27081i 0.227837 + 0.146422i 0.649579 0.760294i \(-0.274945\pi\)
−0.421743 + 0.906716i \(0.638581\pi\)
\(500\) 0.959493 0.281733i 0.0429098 0.0125995i
\(501\) 11.8860 + 13.7171i 0.531026 + 0.612836i
\(502\) 5.90810 + 1.73477i 0.263691 + 0.0774268i
\(503\) 1.03572 + 2.26791i 0.0461804 + 0.101121i 0.931316 0.364212i \(-0.118662\pi\)
−0.885136 + 0.465333i \(0.845934\pi\)
\(504\) 0.0352275 0.245013i 0.00156916 0.0109137i
\(505\) −6.85126 −0.304877
\(506\) 0.542817 + 3.59962i 0.0241311 + 0.160023i
\(507\) −4.51082 −0.200332
\(508\) −2.94522 + 20.4845i −0.130673 + 0.908851i
\(509\) 5.82961 + 12.7651i 0.258393 + 0.565801i 0.993718 0.111913i \(-0.0356978\pi\)
−0.735325 + 0.677714i \(0.762971\pi\)
\(510\) 6.73175 + 1.97662i 0.298087 + 0.0875262i
\(511\) −2.53064 2.92051i −0.111949 0.129196i
\(512\) 0.959493 0.281733i 0.0424040 0.0124509i
\(513\) −6.75131 4.33880i −0.298078 0.191563i
\(514\) −10.9876 + 24.0594i −0.484640 + 1.06121i
\(515\) 3.32362 3.83567i 0.146456 0.169020i
\(516\) −3.05717 + 1.96472i −0.134584 + 0.0864920i
\(517\) −0.376055 2.61552i −0.0165389 0.115030i
\(518\) 0.0131594 + 0.0915259i 0.000578192 + 0.00402142i
\(519\) 10.4152 6.69344i 0.457177 0.293810i
\(520\) 1.90802 2.20197i 0.0836720 0.0965626i
\(521\) 9.97156 21.8347i 0.436862 0.956594i −0.555302 0.831649i \(-0.687397\pi\)
0.992164 0.124945i \(-0.0398755\pi\)
\(522\) −6.45074 4.14564i −0.282341 0.181450i
\(523\) 3.33252 0.978516i 0.145721 0.0427875i −0.208059 0.978116i \(-0.566714\pi\)
0.353780 + 0.935329i \(0.384896\pi\)
\(524\) −0.741769 0.856047i −0.0324043 0.0373966i
\(525\) −0.237505 0.0697379i −0.0103656 0.00304361i
\(526\) −6.42908 14.0777i −0.280321 0.613818i
\(527\) −3.17550 + 22.0861i −0.138327 + 0.962084i
\(528\) −0.759060 −0.0330338
\(529\) −21.9772 + 6.78248i −0.955531 + 0.294890i
\(530\) 9.85540 0.428091
\(531\) −1.95428 + 13.5923i −0.0848084 + 0.589855i
\(532\) −0.825230 1.80700i −0.0357783 0.0783435i
\(533\) −35.7858 10.5077i −1.55006 0.455138i
\(534\) −1.72920 1.99560i −0.0748297 0.0863581i
\(535\) −18.2265 + 5.35178i −0.788000 + 0.231378i
\(536\) 8.57544 + 5.51110i 0.370403 + 0.238043i
\(537\) −1.22404 + 2.68028i −0.0528213 + 0.115662i
\(538\) 17.2141 19.8661i 0.742151 0.856488i
\(539\) 4.43081 2.84751i 0.190848 0.122651i
\(540\) 0.142315 + 0.989821i 0.00612426 + 0.0425951i
\(541\) −5.39983 37.5567i −0.232157 1.61469i −0.688742 0.725007i \(-0.741837\pi\)
0.456585 0.889680i \(-0.349073\pi\)
\(542\) −13.2982 + 8.54621i −0.571205 + 0.367091i
\(543\) −13.8020 + 15.9284i −0.592301 + 0.683552i
\(544\) 2.91453 6.38193i 0.124959 0.273623i
\(545\) −6.56358 4.21816i −0.281153 0.180686i
\(546\) −0.692000 + 0.203190i −0.0296149 + 0.00869571i
\(547\) 0.900452 + 1.03918i 0.0385005 + 0.0444320i 0.774673 0.632362i \(-0.217914\pi\)
−0.736173 + 0.676794i \(0.763369\pi\)
\(548\) 20.1593 + 5.91931i 0.861164 + 0.252860i
\(549\) 1.29177 + 2.82859i 0.0551316 + 0.120721i
\(550\) −0.108025 + 0.751334i −0.00460622 + 0.0320370i
\(551\) −61.5381 −2.62161
\(552\) −0.715117 4.74222i −0.0304374 0.201842i
\(553\) −2.10303 −0.0894297
\(554\) 2.85983 19.8906i 0.121503 0.845070i
\(555\) −0.155181 0.339798i −0.00658705 0.0144236i
\(556\) −9.85177 2.89274i −0.417808 0.122680i
\(557\) 23.0787 + 26.6342i 0.977876 + 1.12853i 0.991693 + 0.128624i \(0.0410561\pi\)
−0.0138178 + 0.999905i \(0.504398\pi\)
\(558\) −3.05153 + 0.896009i −0.129181 + 0.0379311i
\(559\) 8.90742 + 5.72445i 0.376744 + 0.242118i
\(560\) −0.102829 + 0.225163i −0.00434530 + 0.00951488i
\(561\) −3.48748 + 4.02476i −0.147241 + 0.169926i
\(562\) −14.9680 + 9.61933i −0.631386 + 0.405767i
\(563\) 4.07707 + 28.3566i 0.171828 + 1.19509i 0.875019 + 0.484089i \(0.160849\pi\)
−0.703191 + 0.711001i \(0.748242\pi\)
\(564\) 0.495422 + 3.44574i 0.0208610 + 0.145092i
\(565\) −0.0468245 + 0.0300923i −0.00196992 + 0.00126599i
\(566\) 6.15439 7.10254i 0.258688 0.298542i
\(567\) 0.102829 0.225163i 0.00431839 0.00945596i
\(568\) 3.07342 + 1.97517i 0.128958 + 0.0828763i
\(569\) −4.52820 + 1.32960i −0.189832 + 0.0557397i −0.375267 0.926917i \(-0.622449\pi\)
0.185435 + 0.982657i \(0.440631\pi\)
\(570\) 5.25545 + 6.06512i 0.220127 + 0.254040i
\(571\) 11.3948 + 3.34582i 0.476859 + 0.140018i 0.511325 0.859388i \(-0.329155\pi\)
−0.0344661 + 0.999406i \(0.510973\pi\)
\(572\) 0.918737 + 2.01175i 0.0384143 + 0.0841156i
\(573\) −2.82028 + 19.6155i −0.117819 + 0.819447i
\(574\) 3.16860 0.132255
\(575\) −4.79572 + 0.0329509i −0.199995 + 0.00137415i
\(576\) 1.00000 0.0416667
\(577\) −3.71665 + 25.8499i −0.154726 + 1.07614i 0.753435 + 0.657522i \(0.228396\pi\)
−0.908161 + 0.418621i \(0.862514\pi\)
\(578\) −13.3861 29.3115i −0.556789 1.21920i
\(579\) −14.0997 4.14006i −0.585965 0.172055i
\(580\) 5.02148 + 5.79510i 0.208506 + 0.240628i
\(581\) 2.62128 0.769678i 0.108749 0.0319316i
\(582\) −9.81279 6.30630i −0.406753 0.261405i
\(583\) −3.10765 + 6.80481i −0.128706 + 0.281826i
\(584\) 10.2235 11.7985i 0.423050 0.488225i
\(585\) 2.45109 1.57522i 0.101340 0.0651274i
\(586\) −3.72399 25.9009i −0.153836 1.06996i
\(587\) −1.89665 13.1915i −0.0782833 0.544472i −0.990790 0.135410i \(-0.956765\pi\)
0.912506 0.409062i \(-0.134144\pi\)
\(588\) −5.83723 + 3.75136i −0.240723 + 0.154703i
\(589\) −16.7142 + 19.2892i −0.688697 + 0.794798i
\(590\) 5.70451 12.4911i 0.234851 0.514252i
\(591\) −9.47647 6.09016i −0.389810 0.250516i
\(592\) −0.358424 + 0.105243i −0.0147311 + 0.00432545i
\(593\) −5.16759 5.96372i −0.212208 0.244901i 0.639660 0.768658i \(-0.279075\pi\)
−0.851867 + 0.523758i \(0.824530\pi\)
\(594\) −0.728312 0.213852i −0.0298830 0.00877445i
\(595\) 0.721440 + 1.57973i 0.0295761 + 0.0647627i
\(596\) −0.397912 + 2.76754i −0.0162991 + 0.113363i
\(597\) 13.5900 0.556203
\(598\) −11.7028 + 7.63509i −0.478565 + 0.312222i
\(599\) 2.92435 0.119486 0.0597429 0.998214i \(-0.480972\pi\)
0.0597429 + 0.998214i \(0.480972\pi\)
\(600\) 0.142315 0.989821i 0.00580998 0.0404093i
\(601\) −3.48553 7.63225i −0.142178 0.311326i 0.825125 0.564950i \(-0.191105\pi\)
−0.967303 + 0.253624i \(0.918377\pi\)
\(602\) −0.863109 0.253432i −0.0351777 0.0103291i
\(603\) 6.67542 + 7.70385i 0.271844 + 0.313725i
\(604\) −1.97894 + 0.581070i −0.0805221 + 0.0236434i
\(605\) 8.76908 + 5.63555i 0.356514 + 0.229118i
\(606\) −2.84612 + 6.23213i −0.115616 + 0.253163i
\(607\) −7.49717 + 8.65220i −0.304301 + 0.351182i −0.887219 0.461349i \(-0.847365\pi\)
0.582918 + 0.812531i \(0.301911\pi\)
\(608\) 6.75131 4.33880i 0.273802 0.175962i
\(609\) −0.270125 1.87876i −0.0109460 0.0761312i
\(610\) −0.442542 3.07795i −0.0179180 0.124622i
\(611\) 8.53267 5.48362i 0.345195 0.221843i
\(612\) 4.59447 5.30230i 0.185720 0.214333i
\(613\) −1.49730 + 3.27864i −0.0604755 + 0.132423i −0.937457 0.348102i \(-0.886826\pi\)
0.876981 + 0.480525i \(0.159554\pi\)
\(614\) −9.09932 5.84778i −0.367219 0.235997i
\(615\) −12.2823 + 3.60640i −0.495269 + 0.145424i
\(616\) −0.123043 0.141999i −0.00495754 0.00572131i
\(617\) −17.5538 5.15427i −0.706691 0.207503i −0.0914125 0.995813i \(-0.529138\pi\)
−0.615278 + 0.788310i \(0.710956\pi\)
\(618\) −2.10836 4.61667i −0.0848108 0.185710i
\(619\) 2.19461 15.2638i 0.0882088 0.613506i −0.896985 0.442061i \(-0.854247\pi\)
0.985194 0.171445i \(-0.0548435\pi\)
\(620\) 3.18035 0.127726
\(621\) 0.649886 4.75159i 0.0260790 0.190675i
\(622\) 25.3331 1.01576
\(623\) 0.0930203 0.646970i 0.00372678 0.0259203i
\(624\) −1.21036 2.65032i −0.0484532 0.106098i
\(625\) −0.959493 0.281733i −0.0383797 0.0112693i
\(626\) −0.816373 0.942145i −0.0326288 0.0376557i
\(627\) −5.84492 + 1.71622i −0.233424 + 0.0685394i
\(628\) 15.3886 + 9.88966i 0.614073 + 0.394640i
\(629\) −1.08874 + 2.38401i −0.0434109 + 0.0950566i
\(630\) −0.162099 + 0.187072i −0.00645818 + 0.00745314i
\(631\) −17.5047 + 11.2496i −0.696852 + 0.447840i −0.840516 0.541787i \(-0.817748\pi\)
0.143664 + 0.989627i \(0.454112\pi\)
\(632\) −1.20910 8.40949i −0.0480955 0.334512i
\(633\) −1.67877 11.6761i −0.0667253 0.464084i
\(634\) 5.72577 3.67973i 0.227400 0.146141i
\(635\) 13.5524 15.6403i 0.537811 0.620667i
\(636\) 4.09408 8.96478i 0.162341 0.355477i
\(637\) 17.0075 + 10.9300i 0.673860 + 0.433064i
\(638\) −5.58471 + 1.63982i −0.221101 + 0.0649211i
\(639\) 2.39246 + 2.76104i 0.0946442 + 0.109225i
\(640\) −0.959493 0.281733i −0.0379273 0.0111365i
\(641\) −15.0312 32.9137i −0.593697 1.30001i −0.933182 0.359403i \(-0.882980\pi\)
0.339486 0.940611i \(-0.389747\pi\)
\(642\) −2.70341 + 18.8026i −0.106695 + 0.742080i
\(643\) −17.4582 −0.688485 −0.344243 0.938881i \(-0.611864\pi\)
−0.344243 + 0.938881i \(0.611864\pi\)
\(644\) 0.771217 0.902487i 0.0303902 0.0355630i
\(645\) 3.63406 0.143091
\(646\) 8.01305 55.7320i 0.315269 2.19274i
\(647\) −14.0581 30.7830i −0.552681 1.21020i −0.955518 0.294931i \(-0.904703\pi\)
0.402837 0.915272i \(-0.368024\pi\)
\(648\) 0.959493 + 0.281733i 0.0376924 + 0.0110675i
\(649\) 6.82591 + 7.87752i 0.267941 + 0.309220i
\(650\) −2.79560 + 0.820862i −0.109652 + 0.0321968i
\(651\) −0.662268 0.425614i −0.0259563 0.0166811i
\(652\) −4.10586 + 8.99059i −0.160798 + 0.352099i
\(653\) −4.81383 + 5.55546i −0.188380 + 0.217402i −0.842081 0.539351i \(-0.818670\pi\)
0.653701 + 0.756753i \(0.273215\pi\)
\(654\) −6.56358 + 4.21816i −0.256656 + 0.164943i
\(655\) 0.161202 + 1.12118i 0.00629867 + 0.0438082i
\(656\) 1.82174 + 12.6705i 0.0711270 + 0.494699i
\(657\) 13.1334 8.44030i 0.512381 0.329287i
\(658\) −0.564294 + 0.651231i −0.0219985 + 0.0253876i
\(659\) 17.2305 37.7295i 0.671204 1.46973i −0.200498 0.979694i \(-0.564256\pi\)
0.871702 0.490037i \(-0.163017\pi\)
\(660\) 0.638562 + 0.410379i 0.0248560 + 0.0159740i
\(661\) 0.685134 0.201174i 0.0266486 0.00782474i −0.268381 0.963313i \(-0.586489\pi\)
0.295030 + 0.955488i \(0.404670\pi\)
\(662\) −10.4877 12.1034i −0.407615 0.470412i
\(663\) −19.6138 5.75912i −0.761736 0.223666i
\(664\) 4.58483 + 10.0394i 0.177926 + 0.389603i
\(665\) −0.282711 + 1.96630i −0.0109631 + 0.0762498i
\(666\) −0.373556 −0.0144750
\(667\) −15.5062 33.3455i −0.600401 1.29114i
\(668\) −18.1504 −0.702259
\(669\) −0.743403 + 5.17048i −0.0287416 + 0.199902i
\(670\) −4.23460 9.27247i −0.163597 0.358227i
\(671\) 2.26476 + 0.664993i 0.0874301 + 0.0256718i
\(672\) 0.162099 + 0.187072i 0.00625311 + 0.00721647i
\(673\) 35.6868 10.4786i 1.37563 0.403920i 0.491381 0.870945i \(-0.336492\pi\)
0.884244 + 0.467025i \(0.154674\pi\)
\(674\) 6.60465 + 4.24455i 0.254401 + 0.163494i
\(675\) 0.415415 0.909632i 0.0159893 0.0350118i
\(676\) 2.95396 3.40905i 0.113614 0.131117i
\(677\) −2.78383 + 1.78906i −0.106991 + 0.0687590i −0.593042 0.805171i \(-0.702073\pi\)
0.486051 + 0.873930i \(0.338437\pi\)
\(678\) 0.00792130 + 0.0550939i 0.000304216 + 0.00211587i
\(679\) −0.410911 2.85795i −0.0157693 0.109678i
\(680\) −5.90219 + 3.79311i −0.226339 + 0.145459i
\(681\) 6.26824 7.23393i 0.240199 0.277205i
\(682\) −1.00284 + 2.19592i −0.0384009 + 0.0840862i
\(683\) 33.6342 + 21.6154i 1.28698 + 0.827091i 0.991732 0.128330i \(-0.0409616\pi\)
0.295247 + 0.955421i \(0.404598\pi\)
\(684\) 7.70022 2.26099i 0.294425 0.0864510i
\(685\) −13.7589 15.8786i −0.525700 0.606690i
\(686\) −3.31052 0.972057i −0.126396 0.0371133i
\(687\) 4.35387 + 9.53365i 0.166111 + 0.363731i
\(688\) 0.517181 3.59707i 0.0197173 0.137137i
\(689\) −28.7149 −1.09395
\(690\) −1.96224 + 4.37603i −0.0747012 + 0.166593i
\(691\) −7.75637 −0.295066 −0.147533 0.989057i \(-0.547133\pi\)
−0.147533 + 0.989057i \(0.547133\pi\)
\(692\) −1.76194 + 12.2546i −0.0669789 + 0.465848i
\(693\) −0.0780530 0.170912i −0.00296499 0.00649242i
\(694\) −10.9220 3.20699i −0.414594 0.121736i
\(695\) 6.72390 + 7.75980i 0.255052 + 0.294346i
\(696\) 7.35741 2.16033i 0.278882 0.0818871i
\(697\) 75.5526 + 48.5547i 2.86176 + 1.83914i
\(698\) 3.60033 7.88361i 0.136274 0.298399i
\(699\) 16.3525 18.8718i 0.618510 0.713799i
\(700\) 0.208237 0.133826i 0.00787063 0.00505815i
\(701\) 3.64777 + 25.3708i 0.137774 + 0.958243i 0.935022 + 0.354590i \(0.115380\pi\)
−0.797247 + 0.603653i \(0.793711\pi\)
\(702\) −0.414651 2.88396i −0.0156500 0.108848i
\(703\) −2.52199 + 1.62079i −0.0951187 + 0.0611291i
\(704\) 0.497078 0.573659i 0.0187343 0.0216206i
\(705\) 1.44613 3.16658i 0.0544644 0.119260i
\(706\) 17.4652 + 11.2242i 0.657310 + 0.422427i
\(707\) −1.62721 + 0.477793i −0.0611976 + 0.0179692i
\(708\) −8.99259 10.3780i −0.337962 0.390029i
\(709\) −34.5180 10.1354i −1.29635 0.380643i −0.440447 0.897778i \(-0.645180\pi\)
−0.855904 + 0.517136i \(0.826998\pi\)
\(710\) −1.51767 3.32324i −0.0569572 0.124719i
\(711\) 1.20910 8.40949i 0.0453449 0.315381i
\(712\) 2.64056 0.0989591
\(713\) −14.6638 4.19646i −0.549163 0.157159i
\(714\) 1.73667 0.0649933
\(715\) 0.314745 2.18910i 0.0117708 0.0818677i
\(716\) −1.22404 2.68028i −0.0457446 0.100167i
\(717\) 6.69874 + 1.96693i 0.250169 + 0.0734562i
\(718\) −6.37551 7.35773i −0.237932 0.274588i
\(719\) −30.6007 + 8.98517i −1.14121 + 0.335090i −0.797105 0.603840i \(-0.793636\pi\)
−0.344107 + 0.938930i \(0.611818\pi\)
\(720\) −0.841254 0.540641i −0.0313517 0.0201485i
\(721\) 0.521887 1.14277i 0.0194361 0.0425591i
\(722\) 29.7342 34.3151i 1.10659 1.27708i
\(723\) −2.44498 + 1.57129i −0.0909298 + 0.0584370i
\(724\) −2.99946 20.8617i −0.111474 0.775320i
\(725\) −1.09127 7.58997i −0.0405288 0.281884i
\(726\) 8.76908 5.63555i 0.325451 0.209155i
\(727\) −17.0832 + 19.7151i −0.633581 + 0.731191i −0.978226 0.207542i \(-0.933454\pi\)
0.344645 + 0.938733i \(0.387999\pi\)
\(728\) 0.299603 0.656040i 0.0111040 0.0243145i
\(729\) 0.841254 + 0.540641i 0.0311575 + 0.0200237i
\(730\) −14.9793 + 4.39831i −0.554408 + 0.162789i
\(731\) −16.6966 19.2689i −0.617545 0.712685i
\(732\) −2.98364 0.876075i −0.110278 0.0323807i
\(733\) −0.598227 1.30993i −0.0220960 0.0483835i 0.898262 0.439460i \(-0.144830\pi\)
−0.920358 + 0.391076i \(0.872103\pi\)
\(734\) −2.92537 + 20.3464i −0.107977 + 0.750998i
\(735\) 6.93873 0.255939
\(736\) 4.05223 + 2.56504i 0.149367 + 0.0945487i
\(737\) 7.73759 0.285018
\(738\) −1.82174 + 12.6705i −0.0670592 + 0.466407i
\(739\) 14.4421 + 31.6238i 0.531261 + 1.16330i 0.964997 + 0.262259i \(0.0844676\pi\)
−0.433737 + 0.901040i \(0.642805\pi\)
\(740\) 0.358424 + 0.105243i 0.0131759 + 0.00386880i
\(741\) −15.3124 17.6714i −0.562515 0.649177i
\(742\) 2.34071 0.687294i 0.0859301 0.0252314i
\(743\) −16.2404 10.4371i −0.595802 0.382898i 0.207707 0.978191i \(-0.433400\pi\)
−0.803509 + 0.595293i \(0.797036\pi\)
\(744\) 1.32117 2.89295i 0.0484363 0.106061i
\(745\) 1.83099 2.11307i 0.0670823 0.0774171i
\(746\) 7.30802 4.69658i 0.267565 0.171954i
\(747\) 1.57069 + 10.9244i 0.0574686 + 0.399703i
\(748\) −0.757901 5.27132i −0.0277116 0.192738i
\(749\) −3.95567 + 2.54215i −0.144537 + 0.0928883i
\(750\) −0.654861 + 0.755750i −0.0239121 + 0.0275961i
\(751\) −0.479487 + 1.04993i −0.0174967 + 0.0383125i −0.918179 0.396167i \(-0.870340\pi\)
0.900682 + 0.434479i \(0.143068\pi\)
\(752\) −2.92855 1.88206i −0.106793 0.0686318i
\(753\) −5.90810 + 1.73477i −0.215303 + 0.0632187i
\(754\) −14.6307 16.8847i −0.532818 0.614905i
\(755\) 1.97894 + 0.581070i 0.0720212 + 0.0211473i
\(756\) 0.102829 + 0.225163i 0.00373984 + 0.00818910i
\(757\) 6.98665 48.5932i 0.253934 1.76615i −0.320162 0.947363i \(-0.603737\pi\)
0.574096 0.818788i \(-0.305354\pi\)
\(758\) 18.2300 0.662142
\(759\) −2.40275 2.73473i −0.0872143 0.0992643i
\(760\) −8.02530 −0.291108
\(761\) 1.69730 11.8050i 0.0615271 0.427931i −0.935655 0.352915i \(-0.885190\pi\)
0.997182 0.0750153i \(-0.0239006\pi\)
\(762\) −8.59706 18.8249i −0.311438 0.681955i
\(763\) −1.85305 0.544105i −0.0670850 0.0196979i
\(764\) −12.9775 14.9768i −0.469509 0.541842i
\(765\) −6.73175 + 1.97662i −0.243387 + 0.0714649i
\(766\) −26.8908 17.2817i −0.971604 0.624412i
\(767\) −16.6208 + 36.3944i −0.600141 + 1.31413i
\(768\) −0.654861 + 0.755750i −0.0236303 + 0.0272708i
\(769\) 10.1018 6.49202i 0.364279 0.234108i −0.345677 0.938353i \(-0.612351\pi\)
0.709957 + 0.704245i \(0.248714\pi\)
\(770\) 0.0267398 + 0.185979i 0.000963635 + 0.00670223i
\(771\) −3.76417 26.1804i −0.135563 0.942863i
\(772\) 12.3622 7.94471i 0.444926 0.285936i
\(773\) −6.98598 + 8.06225i −0.251268 + <