Properties

Label 189.2.bd.a.47.1
Level $189$
Weight $2$
Character 189.47
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.bd (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 47.1
Character \(\chi\) \(=\) 189.47
Dual form 189.2.bd.a.185.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.68189 - 0.472890i) q^{2} +(0.605371 + 1.62281i) q^{3} +(5.08954 + 1.85244i) q^{4} +(2.55610 + 0.930344i) q^{5} +(-0.856127 - 4.63849i) q^{6} +(2.58147 - 0.579686i) q^{7} +(-8.05677 - 4.65158i) q^{8} +(-2.26705 + 1.96481i) q^{9} +O(q^{10})\) \(q+(-2.68189 - 0.472890i) q^{2} +(0.605371 + 1.62281i) q^{3} +(5.08954 + 1.85244i) q^{4} +(2.55610 + 0.930344i) q^{5} +(-0.856127 - 4.63849i) q^{6} +(2.58147 - 0.579686i) q^{7} +(-8.05677 - 4.65158i) q^{8} +(-2.26705 + 1.96481i) q^{9} +(-6.41523 - 3.70384i) q^{10} +(0.0485071 + 0.133272i) q^{11} +(0.0748907 + 9.38079i) q^{12} +(0.695830 - 1.91178i) q^{13} +(-7.19734 + 0.333907i) q^{14} +(0.0376120 + 4.71128i) q^{15} +(11.1096 + 9.32210i) q^{16} +(2.00080 - 3.46549i) q^{17} +(7.00913 - 4.19734i) q^{18} +(-2.63555 + 1.52164i) q^{19} +(11.2860 + 9.47004i) q^{20} +(2.50347 + 3.83831i) q^{21} +(-0.0670678 - 0.380360i) q^{22} +(1.29370 - 0.228114i) q^{23} +(2.67131 - 15.8906i) q^{24} +(1.83788 + 1.54216i) q^{25} +(-2.77020 + 4.79813i) q^{26} +(-4.56093 - 2.48957i) q^{27} +(14.2123 + 1.83168i) q^{28} +(2.12744 + 5.84511i) q^{29} +(2.12704 - 12.6529i) q^{30} +(-1.45503 + 3.99766i) q^{31} +(-13.4266 - 16.0012i) q^{32} +(-0.186911 + 0.159397i) q^{33} +(-7.00474 + 8.34792i) q^{34} +(7.13779 + 0.919915i) q^{35} +(-15.1779 + 5.80039i) q^{36} -9.38062 q^{37} +(7.78784 - 2.83454i) q^{38} +(3.52369 - 0.0281311i) q^{39} +(-16.2663 - 19.3854i) q^{40} +(-0.303455 - 0.110449i) q^{41} +(-4.89893 - 11.4778i) q^{42} +(0.643705 - 3.65063i) q^{43} +0.768151i q^{44} +(-7.62276 + 2.91311i) q^{45} -3.57744 q^{46} +(-6.27238 + 2.28296i) q^{47} +(-8.40258 + 23.6722i) q^{48} +(6.32793 - 2.99288i) q^{49} +(-4.19971 - 5.00502i) q^{50} +(6.83508 + 1.14902i) q^{51} +(7.08291 - 8.44108i) q^{52} +(6.59926 - 3.81008i) q^{53} +(11.0546 + 8.83357i) q^{54} +0.385785i q^{55} +(-23.4947 - 7.33749i) q^{56} +(-4.06482 - 3.35586i) q^{57} +(-2.94149 - 16.6820i) q^{58} +(-4.94316 + 4.14781i) q^{59} +(-8.53593 + 24.0479i) q^{60} +(-3.87584 - 10.6488i) q^{61} +(5.79268 - 10.0332i) q^{62} +(-4.71335 + 6.38626i) q^{63} +(13.9394 + 24.1437i) q^{64} +(3.55722 - 4.23933i) q^{65} +(0.576653 - 0.339098i) q^{66} +(-0.311427 - 1.76619i) q^{67} +(16.6028 - 13.9314i) q^{68} +(1.15335 + 1.96134i) q^{69} +(-18.7078 - 5.84250i) q^{70} +(6.03534 - 3.48450i) q^{71} +(27.4046 - 5.28464i) q^{72} -4.24105i q^{73} +(25.1578 + 4.43600i) q^{74} +(-1.39004 + 3.91611i) q^{75} +(-16.2325 + 2.86223i) q^{76} +(0.202475 + 0.315919i) q^{77} +(-9.46347 - 1.59087i) q^{78} +(-2.60094 + 14.7507i) q^{79} +(19.7246 + 34.1640i) q^{80} +(1.27905 - 8.90865i) q^{81} +(0.761604 + 0.439712i) q^{82} +(0.966634 - 0.351826i) q^{83} +(5.63124 + 24.1728i) q^{84} +(8.33835 - 6.99670i) q^{85} +(-3.45269 + 9.48620i) q^{86} +(-8.19763 + 6.99090i) q^{87} +(0.229115 - 1.29938i) q^{88} +(-2.58608 - 4.47923i) q^{89} +(21.8210 - 4.20791i) q^{90} +(0.688030 - 5.33855i) q^{91} +(7.00690 + 1.23551i) q^{92} +(-7.36829 + 0.0588240i) q^{93} +(17.9015 - 3.15651i) q^{94} +(-8.15238 + 1.43749i) q^{95} +(17.8390 - 31.4756i) q^{96} +(7.25860 + 1.27989i) q^{97} +(-18.3861 + 5.03417i) q^{98} +(-0.371822 - 0.206828i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} + O(q^{10}) \) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} - 9q^{10} + 9q^{11} - 9q^{12} - 42q^{14} - 24q^{15} - 15q^{16} - 9q^{17} - 3q^{18} - 9q^{19} - 18q^{20} + 15q^{21} - 12q^{22} + 30q^{23} - 36q^{24} - 3q^{25} - 12q^{28} + 6q^{29} - 3q^{30} - 9q^{31} - 51q^{32} - 9q^{33} + 18q^{34} - 9q^{35} - 6q^{37} - 9q^{38} - 9q^{39} - 9q^{40} + 27q^{42} - 12q^{43} - 63q^{45} - 6q^{46} + 45q^{47} + 30q^{49} - 9q^{50} + 33q^{51} - 9q^{52} + 45q^{53} + 117q^{54} - 51q^{56} - 3q^{58} - 9q^{59} - 15q^{60} - 63q^{61} + 99q^{62} - 33q^{63} + 18q^{64} - 102q^{65} + 63q^{66} - 3q^{67} + 144q^{68} - 108q^{69} - 15q^{70} + 18q^{71} + 15q^{72} - 33q^{74} - 9q^{75} - 36q^{76} - 57q^{77} + 66q^{78} - 21q^{79} - 72q^{80} + 57q^{81} - 18q^{82} + 90q^{83} + 51q^{84} + 9q^{85} - 33q^{86} - 9q^{87} + 45q^{88} - 9q^{89} - 81q^{90} - 21q^{91} + 150q^{92} - 87q^{93} - 9q^{94} + 27q^{95} - 9q^{96} - 180q^{98} + 96q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.68189 0.472890i −1.89638 0.334384i −0.901282 0.433232i \(-0.857373\pi\)
−0.995102 + 0.0988485i \(0.968484\pi\)
\(3\) 0.605371 + 1.62281i 0.349511 + 0.936932i
\(4\) 5.08954 + 1.85244i 2.54477 + 0.926221i
\(5\) 2.55610 + 0.930344i 1.14312 + 0.416062i 0.843040 0.537851i \(-0.180764\pi\)
0.300082 + 0.953913i \(0.402986\pi\)
\(6\) −0.856127 4.63849i −0.349512 1.89365i
\(7\) 2.58147 0.579686i 0.975702 0.219101i
\(8\) −8.05677 4.65158i −2.84850 1.64458i
\(9\) −2.26705 + 1.96481i −0.755684 + 0.654936i
\(10\) −6.41523 3.70384i −2.02867 1.17126i
\(11\) 0.0485071 + 0.133272i 0.0146254 + 0.0401831i 0.946791 0.321850i \(-0.104305\pi\)
−0.932165 + 0.362033i \(0.882083\pi\)
\(12\) 0.0748907 + 9.38079i 0.0216191 + 2.70800i
\(13\) 0.695830 1.91178i 0.192988 0.530231i −0.805024 0.593242i \(-0.797848\pi\)
0.998013 + 0.0630103i \(0.0200701\pi\)
\(14\) −7.19734 + 0.333907i −1.92357 + 0.0892403i
\(15\) 0.0376120 + 4.71128i 0.00971138 + 1.21645i
\(16\) 11.1096 + 9.32210i 2.77741 + 2.33052i
\(17\) 2.00080 3.46549i 0.485266 0.840505i −0.514591 0.857436i \(-0.672056\pi\)
0.999857 + 0.0169307i \(0.00538946\pi\)
\(18\) 7.00913 4.19734i 1.65207 0.989322i
\(19\) −2.63555 + 1.52164i −0.604638 + 0.349088i −0.770864 0.637000i \(-0.780175\pi\)
0.166226 + 0.986088i \(0.446842\pi\)
\(20\) 11.2860 + 9.47004i 2.52362 + 2.11757i
\(21\) 2.50347 + 3.83831i 0.546301 + 0.837589i
\(22\) −0.0670678 0.380360i −0.0142989 0.0810931i
\(23\) 1.29370 0.228114i 0.269755 0.0475651i −0.0371344 0.999310i \(-0.511823\pi\)
0.306889 + 0.951745i \(0.400712\pi\)
\(24\) 2.67131 15.8906i 0.545280 3.24365i
\(25\) 1.83788 + 1.54216i 0.367575 + 0.308432i
\(26\) −2.77020 + 4.79813i −0.543281 + 0.940990i
\(27\) −4.56093 2.48957i −0.877751 0.479118i
\(28\) 14.2123 + 1.83168i 2.68587 + 0.346154i
\(29\) 2.12744 + 5.84511i 0.395056 + 1.08541i 0.964662 + 0.263491i \(0.0848738\pi\)
−0.569605 + 0.821918i \(0.692904\pi\)
\(30\) 2.12704 12.6529i 0.388343 2.31010i
\(31\) −1.45503 + 3.99766i −0.261331 + 0.718000i 0.737748 + 0.675077i \(0.235889\pi\)
−0.999078 + 0.0429236i \(0.986333\pi\)
\(32\) −13.4266 16.0012i −2.37352 2.82865i
\(33\) −0.186911 + 0.159397i −0.0325371 + 0.0277475i
\(34\) −7.00474 + 8.34792i −1.20130 + 1.43166i
\(35\) 7.13779 + 0.919915i 1.20651 + 0.155494i
\(36\) −15.1779 + 5.80039i −2.52966 + 0.966732i
\(37\) −9.38062 −1.54217 −0.771083 0.636735i \(-0.780284\pi\)
−0.771083 + 0.636735i \(0.780284\pi\)
\(38\) 7.78784 2.83454i 1.26336 0.459824i
\(39\) 3.52369 0.0281311i 0.564242 0.00450458i
\(40\) −16.2663 19.3854i −2.57193 3.06511i
\(41\) −0.303455 0.110449i −0.0473917 0.0172492i 0.318216 0.948018i \(-0.396916\pi\)
−0.365607 + 0.930769i \(0.619139\pi\)
\(42\) −4.89893 11.4778i −0.755921 1.77106i
\(43\) 0.643705 3.65063i 0.0981640 0.556716i −0.895568 0.444925i \(-0.853230\pi\)
0.993732 0.111791i \(-0.0356586\pi\)
\(44\) 0.768151i 0.115803i
\(45\) −7.62276 + 2.91311i −1.13633 + 0.434260i
\(46\) −3.57744 −0.527464
\(47\) −6.27238 + 2.28296i −0.914921 + 0.333004i −0.756216 0.654322i \(-0.772954\pi\)
−0.158705 + 0.987326i \(0.550732\pi\)
\(48\) −8.40258 + 23.6722i −1.21281 + 3.41679i
\(49\) 6.32793 2.99288i 0.903990 0.427554i
\(50\) −4.19971 5.00502i −0.593929 0.707817i
\(51\) 6.83508 + 1.14902i 0.957102 + 0.160896i
\(52\) 7.08291 8.44108i 0.982222 1.17057i
\(53\) 6.59926 3.81008i 0.906477 0.523355i 0.0271813 0.999631i \(-0.491347\pi\)
0.879296 + 0.476276i \(0.158014\pi\)
\(54\) 11.0546 + 8.83357i 1.50434 + 1.20210i
\(55\) 0.385785i 0.0520192i
\(56\) −23.4947 7.33749i −3.13961 0.980513i
\(57\) −4.06482 3.35586i −0.538399 0.444495i
\(58\) −2.94149 16.6820i −0.386236 2.19045i
\(59\) −4.94316 + 4.14781i −0.643545 + 0.539998i −0.905105 0.425189i \(-0.860208\pi\)
0.261560 + 0.965187i \(0.415763\pi\)
\(60\) −8.53593 + 24.0479i −1.10198 + 3.10457i
\(61\) −3.87584 10.6488i −0.496251 1.36344i −0.894872 0.446322i \(-0.852733\pi\)
0.398621 0.917116i \(-0.369489\pi\)
\(62\) 5.79268 10.0332i 0.735671 1.27422i
\(63\) −4.71335 + 6.38626i −0.593826 + 0.804594i
\(64\) 13.9394 + 24.1437i 1.74242 + 3.01796i
\(65\) 3.55722 4.23933i 0.441218 0.525824i
\(66\) 0.576653 0.339098i 0.0709811 0.0417400i
\(67\) −0.311427 1.76619i −0.0380469 0.215775i 0.959857 0.280490i \(-0.0904971\pi\)
−0.997904 + 0.0647156i \(0.979386\pi\)
\(68\) 16.6028 13.9314i 2.01338 1.68943i
\(69\) 1.15335 + 1.96134i 0.138848 + 0.236118i
\(70\) −18.7078 5.84250i −2.23600 0.698313i
\(71\) 6.03534 3.48450i 0.716263 0.413534i −0.0971130 0.995273i \(-0.530961\pi\)
0.813376 + 0.581739i \(0.197627\pi\)
\(72\) 27.4046 5.28464i 3.22966 0.622800i
\(73\) 4.24105i 0.496377i −0.968712 0.248188i \(-0.920165\pi\)
0.968712 0.248188i \(-0.0798352\pi\)
\(74\) 25.1578 + 4.43600i 2.92454 + 0.515675i
\(75\) −1.39004 + 3.91611i −0.160508 + 0.452193i
\(76\) −16.2325 + 2.86223i −1.86200 + 0.328320i
\(77\) 0.202475 + 0.315919i 0.0230742 + 0.0360023i
\(78\) −9.46347 1.59087i −1.07153 0.180131i
\(79\) −2.60094 + 14.7507i −0.292628 + 1.65958i 0.384060 + 0.923308i \(0.374526\pi\)
−0.676688 + 0.736270i \(0.736585\pi\)
\(80\) 19.7246 + 34.1640i 2.20528 + 3.81965i
\(81\) 1.27905 8.90865i 0.142117 0.989850i
\(82\) 0.761604 + 0.439712i 0.0841050 + 0.0485581i
\(83\) 0.966634 0.351826i 0.106102 0.0386179i −0.288424 0.957503i \(-0.593131\pi\)
0.394526 + 0.918885i \(0.370909\pi\)
\(84\) 5.63124 + 24.1728i 0.614419 + 2.63747i
\(85\) 8.33835 6.99670i 0.904421 0.758899i
\(86\) −3.45269 + 9.48620i −0.372314 + 1.02292i
\(87\) −8.19763 + 6.99090i −0.878878 + 0.749503i
\(88\) 0.229115 1.29938i 0.0244238 0.138514i
\(89\) −2.58608 4.47923i −0.274124 0.474797i 0.695790 0.718246i \(-0.255055\pi\)
−0.969914 + 0.243449i \(0.921721\pi\)
\(90\) 21.8210 4.20791i 2.30013 0.443553i
\(91\) 0.688030 5.33855i 0.0721251 0.559632i
\(92\) 7.00690 + 1.23551i 0.730520 + 0.128810i
\(93\) −7.36829 + 0.0588240i −0.764056 + 0.00609976i
\(94\) 17.9015 3.15651i 1.84639 0.325569i
\(95\) −8.15238 + 1.43749i −0.836417 + 0.147483i
\(96\) 17.8390 31.4756i 1.82068 3.21247i
\(97\) 7.25860 + 1.27989i 0.736999 + 0.129953i 0.529533 0.848289i \(-0.322367\pi\)
0.207466 + 0.978242i \(0.433478\pi\)
\(98\) −18.3861 + 5.03417i −1.85728 + 0.508528i
\(99\) −0.371822 0.206828i −0.0373696 0.0207870i
\(100\) 6.49718 + 11.2534i 0.649718 + 1.12534i
\(101\) 1.17079 6.63987i 0.116498 0.660692i −0.869500 0.493933i \(-0.835559\pi\)
0.985998 0.166759i \(-0.0533302\pi\)
\(102\) −17.7876 6.31380i −1.76123 0.625159i
\(103\) −3.92540 + 10.7850i −0.386781 + 1.06267i 0.581660 + 0.813432i \(0.302403\pi\)
−0.968442 + 0.249241i \(0.919819\pi\)
\(104\) −14.4989 + 12.1660i −1.42174 + 1.19298i
\(105\) 2.82815 + 12.1402i 0.276000 + 1.18476i
\(106\) −19.5002 + 7.09751i −1.89403 + 0.689371i
\(107\) −15.4754 8.93470i −1.49606 0.863750i −0.496069 0.868283i \(-0.665224\pi\)
−0.999990 + 0.00453289i \(0.998557\pi\)
\(108\) −18.6012 21.1196i −1.78991 2.03223i
\(109\) −4.74241 8.21409i −0.454240 0.786768i 0.544404 0.838823i \(-0.316756\pi\)
−0.998644 + 0.0520558i \(0.983423\pi\)
\(110\) 0.182434 1.03463i 0.0173944 0.0986485i
\(111\) −5.67876 15.2230i −0.539004 1.44490i
\(112\) 34.0830 + 17.6246i 3.22055 + 1.66536i
\(113\) −1.54842 + 0.273029i −0.145663 + 0.0256844i −0.246004 0.969269i \(-0.579118\pi\)
0.100341 + 0.994953i \(0.468007\pi\)
\(114\) 9.31447 + 10.9223i 0.872380 + 1.02296i
\(115\) 3.51905 + 0.620503i 0.328153 + 0.0578622i
\(116\) 33.6899i 3.12803i
\(117\) 2.17879 + 5.70127i 0.201429 + 0.527082i
\(118\) 15.2185 8.78640i 1.40098 0.808853i
\(119\) 3.15611 10.1059i 0.289320 0.926405i
\(120\) 21.6118 38.1326i 1.97288 3.48101i
\(121\) 8.41108 7.05773i 0.764644 0.641612i
\(122\) 5.35889 + 30.3918i 0.485171 + 2.75154i
\(123\) −0.00446522 0.559313i −0.000402616 0.0504316i
\(124\) −14.8108 + 17.6509i −1.33005 + 1.58510i
\(125\) −3.53731 6.12679i −0.316386 0.547997i
\(126\) 15.6607 14.8984i 1.39517 1.32725i
\(127\) 9.03739 15.6532i 0.801938 1.38900i −0.116400 0.993202i \(-0.537136\pi\)
0.918339 0.395795i \(-0.129531\pi\)
\(128\) −11.6783 32.0858i −1.03222 2.83601i
\(129\) 6.31398 1.16537i 0.555915 0.102605i
\(130\) −11.5448 + 9.68725i −1.01255 + 0.849628i
\(131\) 0.952268 + 5.40058i 0.0832001 + 0.471851i 0.997730 + 0.0673340i \(0.0214493\pi\)
−0.914530 + 0.404517i \(0.867440\pi\)
\(132\) −1.24657 + 0.465016i −0.108500 + 0.0404744i
\(133\) −5.92152 + 5.45585i −0.513461 + 0.473082i
\(134\) 4.88401i 0.421914i
\(135\) −9.34202 10.6068i −0.804033 0.912889i
\(136\) −32.2400 + 18.6138i −2.76456 + 1.59612i
\(137\) 2.69106 3.20708i 0.229913 0.273999i −0.638738 0.769424i \(-0.720543\pi\)
0.868651 + 0.495425i \(0.164988\pi\)
\(138\) −2.16567 5.80551i −0.184354 0.494198i
\(139\) 7.34520 + 8.75367i 0.623012 + 0.742477i 0.981585 0.191025i \(-0.0611811\pi\)
−0.358573 + 0.933502i \(0.616737\pi\)
\(140\) 34.6240 + 17.9043i 2.92626 + 1.51319i
\(141\) −7.50194 8.79688i −0.631777 0.740831i
\(142\) −17.8339 + 6.49101i −1.49659 + 0.544714i
\(143\) 0.288539 0.0241289
\(144\) −43.5023 + 0.694637i −3.62519 + 0.0578864i
\(145\) 16.9199i 1.40512i
\(146\) −2.00555 + 11.3740i −0.165980 + 0.941322i
\(147\) 8.68763 + 8.45725i 0.716544 + 0.697542i
\(148\) −47.7431 17.3771i −3.92446 1.42839i
\(149\) −14.9103 17.7694i −1.22150 1.45572i −0.849581 0.527458i \(-0.823145\pi\)
−0.371917 0.928266i \(-0.621299\pi\)
\(150\) 5.57984 9.84525i 0.455592 0.803861i
\(151\) −0.216400 + 0.0787632i −0.0176104 + 0.00640965i −0.350810 0.936447i \(-0.614094\pi\)
0.333200 + 0.942856i \(0.391872\pi\)
\(152\) 28.3121 2.29641
\(153\) 2.27310 + 11.7876i 0.183770 + 0.952975i
\(154\) −0.393623 0.943009i −0.0317190 0.0759898i
\(155\) −7.43839 + 8.86472i −0.597466 + 0.712032i
\(156\) 17.9861 + 6.38426i 1.44004 + 0.511150i
\(157\) 6.32473 + 7.53752i 0.504769 + 0.601560i 0.956909 0.290387i \(-0.0937840\pi\)
−0.452141 + 0.891947i \(0.649340\pi\)
\(158\) 13.9509 38.3297i 1.10987 3.04935i
\(159\) 10.1781 + 8.40285i 0.807172 + 0.666390i
\(160\) −19.4332 53.3921i −1.53633 4.22102i
\(161\) 3.20740 1.33881i 0.252779 0.105513i
\(162\) −7.64310 + 23.2872i −0.600499 + 1.82961i
\(163\) −0.272626 + 0.472203i −0.0213537 + 0.0369858i −0.876505 0.481393i \(-0.840131\pi\)
0.855151 + 0.518379i \(0.173464\pi\)
\(164\) −1.33985 1.12426i −0.104624 0.0877903i
\(165\) −0.626057 + 0.233543i −0.0487385 + 0.0181813i
\(166\) −2.75878 + 0.486448i −0.214123 + 0.0377557i
\(167\) 2.22249 + 12.6044i 0.171981 + 0.975354i 0.941571 + 0.336815i \(0.109350\pi\)
−0.769590 + 0.638539i \(0.779539\pi\)
\(168\) −2.31564 42.5695i −0.178655 3.28431i
\(169\) 6.78787 + 5.69570i 0.522144 + 0.438131i
\(170\) −25.6712 + 14.8213i −1.96889 + 1.13674i
\(171\) 2.98521 8.62800i 0.228285 0.659799i
\(172\) 10.0387 17.3876i 0.765447 1.32579i
\(173\) 2.57625 + 2.16173i 0.195869 + 0.164353i 0.735447 0.677582i \(-0.236972\pi\)
−0.539579 + 0.841935i \(0.681416\pi\)
\(174\) 25.2911 14.8723i 1.91731 1.12746i
\(175\) 5.63838 + 2.91564i 0.426221 + 0.220402i
\(176\) −0.703479 + 1.93279i −0.0530268 + 0.145690i
\(177\) −9.72356 5.51087i −0.730868 0.414223i
\(178\) 4.81742 + 13.2357i 0.361081 + 0.992061i
\(179\) −1.15514 0.666922i −0.0863395 0.0498481i 0.456209 0.889873i \(-0.349207\pi\)
−0.542548 + 0.840025i \(0.682540\pi\)
\(180\) −44.1927 + 0.705661i −3.29393 + 0.0525969i
\(181\) −2.64678 1.52812i −0.196733 0.113584i 0.398398 0.917213i \(-0.369566\pi\)
−0.595131 + 0.803629i \(0.702900\pi\)
\(182\) −4.36977 + 13.9920i −0.323909 + 1.03716i
\(183\) 14.9347 12.7362i 1.10400 0.941490i
\(184\) −11.4841 4.17988i −0.846621 0.308145i
\(185\) −23.9778 8.72720i −1.76288 0.641637i
\(186\) 19.7888 + 3.32663i 1.45098 + 0.243920i
\(187\) 0.558907 + 0.0985503i 0.0408713 + 0.00720671i
\(188\) −36.1526 −2.63670
\(189\) −13.2170 3.78283i −0.961398 0.275160i
\(190\) 22.5436 1.63548
\(191\) 14.9021 + 2.62764i 1.07828 + 0.190130i 0.684454 0.729056i \(-0.260041\pi\)
0.393825 + 0.919186i \(0.371152\pi\)
\(192\) −30.7423 + 37.2369i −2.21863 + 2.68734i
\(193\) −4.48848 1.63367i −0.323088 0.117594i 0.175384 0.984500i \(-0.443883\pi\)
−0.498472 + 0.866906i \(0.666105\pi\)
\(194\) −18.8615 6.86504i −1.35418 0.492881i
\(195\) 9.03307 + 3.20634i 0.646872 + 0.229611i
\(196\) 37.7504 3.51027i 2.69646 0.250733i
\(197\) 7.02585 + 4.05638i 0.500571 + 0.289005i 0.728949 0.684568i \(-0.240009\pi\)
−0.228378 + 0.973572i \(0.573342\pi\)
\(198\) 0.899381 + 0.730521i 0.0639162 + 0.0519159i
\(199\) 4.36607 + 2.52075i 0.309502 + 0.178691i 0.646704 0.762741i \(-0.276147\pi\)
−0.337201 + 0.941433i \(0.609480\pi\)
\(200\) −7.63386 20.9738i −0.539795 1.48307i
\(201\) 2.67767 1.57459i 0.188869 0.111063i
\(202\) −6.27986 + 17.2538i −0.441850 + 1.21397i
\(203\) 8.88025 + 13.8557i 0.623271 + 0.972479i
\(204\) 32.6589 + 18.5096i 2.28658 + 1.29593i
\(205\) −0.672905 0.564635i −0.0469977 0.0394358i
\(206\) 15.6276 27.0678i 1.08883 1.88590i
\(207\) −2.48468 + 3.05902i −0.172697 + 0.212616i
\(208\) 25.5522 14.7526i 1.77172 1.02291i
\(209\) −0.330635 0.277436i −0.0228705 0.0191906i
\(210\) −1.84383 33.8961i −0.127237 2.33905i
\(211\) −0.533965 3.02827i −0.0367597 0.208474i 0.960896 0.276910i \(-0.0893104\pi\)
−0.997656 + 0.0684355i \(0.978199\pi\)
\(212\) 40.6451 7.16683i 2.79152 0.492220i
\(213\) 9.30832 + 7.68481i 0.637795 + 0.526555i
\(214\) 37.2781 + 31.2801i 2.54828 + 2.13826i
\(215\) 5.04171 8.73250i 0.343842 0.595552i
\(216\) 25.1659 + 41.2734i 1.71232 + 2.80830i
\(217\) −1.43872 + 11.1633i −0.0976666 + 0.757812i
\(218\) 8.83427 + 24.2720i 0.598332 + 1.64390i
\(219\) 6.88243 2.56741i 0.465072 0.173489i
\(220\) −0.714644 + 1.96347i −0.0481813 + 0.132377i
\(221\) −5.23303 6.23648i −0.352011 0.419511i
\(222\) 8.03100 + 43.5119i 0.539006 + 2.92033i
\(223\) 11.4325 13.6247i 0.765576 0.912378i −0.232611 0.972570i \(-0.574727\pi\)
0.998187 + 0.0601917i \(0.0191712\pi\)
\(224\) −43.9361 33.5234i −2.93560 2.23988i
\(225\) −7.19661 + 0.114914i −0.479774 + 0.00766095i
\(226\) 4.28182 0.284822
\(227\) −6.79748 + 2.47408i −0.451165 + 0.164211i −0.557601 0.830109i \(-0.688278\pi\)
0.106436 + 0.994320i \(0.466056\pi\)
\(228\) −14.4716 24.6096i −0.958402 1.62981i
\(229\) 9.76524 + 11.6378i 0.645305 + 0.769045i 0.985198 0.171419i \(-0.0548353\pi\)
−0.339893 + 0.940464i \(0.610391\pi\)
\(230\) −9.14427 3.32824i −0.602956 0.219458i
\(231\) −0.390105 + 0.519828i −0.0256670 + 0.0342022i
\(232\) 10.0486 56.9886i 0.659725 3.74149i
\(233\) 12.3912i 0.811776i 0.913923 + 0.405888i \(0.133038\pi\)
−0.913923 + 0.405888i \(0.866962\pi\)
\(234\) −3.14721 16.3205i −0.205740 1.06691i
\(235\) −18.1568 −1.18442
\(236\) −32.8420 + 11.9535i −2.13783 + 0.778107i
\(237\) −25.5121 + 4.70877i −1.65719 + 0.305868i
\(238\) −13.2433 + 25.6104i −0.858436 + 1.66008i
\(239\) 5.11974 + 6.10146i 0.331168 + 0.394671i 0.905775 0.423759i \(-0.139290\pi\)
−0.574607 + 0.818430i \(0.694845\pi\)
\(240\) −43.5011 + 52.6912i −2.80798 + 3.40120i
\(241\) 0.352467 0.420054i 0.0227044 0.0270581i −0.754573 0.656216i \(-0.772156\pi\)
0.777277 + 0.629158i \(0.216600\pi\)
\(242\) −25.8952 + 14.9506i −1.66460 + 0.961059i
\(243\) 15.2314 3.31737i 0.977094 0.212809i
\(244\) 61.3772i 3.92927i
\(245\) 18.9592 1.76295i 1.21126 0.112630i
\(246\) −0.252518 + 1.50213i −0.0161000 + 0.0957723i
\(247\) 1.07513 + 6.09739i 0.0684092 + 0.387968i
\(248\) 30.3182 25.4400i 1.92521 1.61544i
\(249\) 1.15612 + 1.35568i 0.0732661 + 0.0859129i
\(250\) 6.58938 + 18.1042i 0.416749 + 1.14501i
\(251\) −8.86627 + 15.3568i −0.559634 + 0.969314i 0.437893 + 0.899027i \(0.355725\pi\)
−0.997527 + 0.0702870i \(0.977608\pi\)
\(252\) −35.8189 + 23.7720i −2.25638 + 1.49749i
\(253\) 0.0931548 + 0.161349i 0.00585659 + 0.0101439i
\(254\) −31.6395 + 37.7065i −1.98524 + 2.36592i
\(255\) 16.4021 + 9.29599i 1.02714 + 0.582137i
\(256\) 6.46462 + 36.6627i 0.404039 + 2.29142i
\(257\) 21.4325 17.9840i 1.33692 1.12181i 0.354519 0.935049i \(-0.384645\pi\)
0.982405 0.186764i \(-0.0597999\pi\)
\(258\) −17.4845 + 0.139586i −1.08854 + 0.00869024i
\(259\) −24.2158 + 5.43782i −1.50469 + 0.337890i
\(260\) 25.9577 14.9867i 1.60983 0.929435i
\(261\) −16.3075 9.07114i −1.00941 0.561489i
\(262\) 14.9341i 0.922632i
\(263\) −10.9874 1.93738i −0.677512 0.119464i −0.175705 0.984443i \(-0.556220\pi\)
−0.501808 + 0.864979i \(0.667331\pi\)
\(264\) 2.24735 0.414793i 0.138315 0.0255288i
\(265\) 20.4130 3.59937i 1.25396 0.221107i
\(266\) 18.4609 11.8318i 1.13191 0.725453i
\(267\) 5.70342 6.90833i 0.349043 0.422783i
\(268\) 1.68675 9.56601i 0.103034 0.584337i
\(269\) −2.38895 4.13779i −0.145657 0.252286i 0.783961 0.620810i \(-0.213196\pi\)
−0.929618 + 0.368525i \(0.879863\pi\)
\(270\) 20.0384 + 32.8641i 1.21950 + 2.00004i
\(271\) −18.5269 10.6965i −1.12543 0.649766i −0.182647 0.983179i \(-0.558467\pi\)
−0.942781 + 0.333412i \(0.891800\pi\)
\(272\) 54.5339 19.8487i 3.30660 1.20350i
\(273\) 9.07998 2.11526i 0.549546 0.128021i
\(274\) −8.73373 + 7.32847i −0.527624 + 0.442729i
\(275\) −0.116377 + 0.319743i −0.00701780 + 0.0192812i
\(276\) 2.23678 + 12.1188i 0.134638 + 0.729468i
\(277\) 2.15053 12.1962i 0.129213 0.732801i −0.849504 0.527583i \(-0.823098\pi\)
0.978716 0.205218i \(-0.0657905\pi\)
\(278\) −15.5595 26.9499i −0.933198 1.61635i
\(279\) −4.55600 11.9217i −0.272761 0.713736i
\(280\) −53.2284 40.6135i −3.18101 2.42712i
\(281\) −15.3782 2.71159i −0.917385 0.161760i −0.305030 0.952343i \(-0.598667\pi\)
−0.612355 + 0.790583i \(0.709778\pi\)
\(282\) 15.9594 + 27.1399i 0.950371 + 1.61616i
\(283\) −22.5207 + 3.97101i −1.33872 + 0.236052i −0.796730 0.604335i \(-0.793439\pi\)
−0.541987 + 0.840387i \(0.682328\pi\)
\(284\) 37.1719 6.55441i 2.20575 0.388933i
\(285\) −7.26799 12.3596i −0.430518 0.732119i
\(286\) −0.773831 0.136447i −0.0457576 0.00806830i
\(287\) −0.847384 0.109211i −0.0500195 0.00644649i
\(288\) 61.8783 + 9.89489i 3.64621 + 0.583062i
\(289\) 0.493577 + 0.854901i 0.0290340 + 0.0502883i
\(290\) 8.00126 45.3774i 0.469850 2.66465i
\(291\) 2.31712 + 12.5542i 0.135832 + 0.735938i
\(292\) 7.85629 21.5850i 0.459755 1.26317i
\(293\) −25.2580 + 21.1939i −1.47559 + 1.23816i −0.564837 + 0.825203i \(0.691061\pi\)
−0.910749 + 0.412960i \(0.864495\pi\)
\(294\) −19.2999 26.7897i −1.12560 1.56241i
\(295\) −16.4941 + 6.00336i −0.960323 + 0.349529i
\(296\) 75.5775 + 43.6347i 4.39285 + 2.53622i
\(297\) 0.110553 0.728606i 0.00641492 0.0422780i
\(298\) 31.5848 + 54.7065i 1.82966 + 3.16906i
\(299\) 0.464091 2.63199i 0.0268391 0.152212i
\(300\) −14.3290 + 17.3562i −0.827288 + 1.00206i
\(301\) −0.454519 9.79712i −0.0261980 0.564697i
\(302\) 0.617608 0.108901i 0.0355393 0.00626654i
\(303\) 11.4840 2.11961i 0.659741 0.121769i
\(304\) −43.4649 7.66404i −2.49288 0.439563i
\(305\) 30.8252i 1.76505i
\(306\) −0.521958 32.6881i −0.0298384 1.86866i
\(307\) −13.5558 + 7.82647i −0.773672 + 0.446680i −0.834183 0.551488i \(-0.814060\pi\)
0.0605107 + 0.998168i \(0.480727\pi\)
\(308\) 0.445286 + 1.98295i 0.0253725 + 0.112989i
\(309\) −19.8783 + 0.158696i −1.13084 + 0.00902793i
\(310\) 24.1410 20.2567i 1.37112 1.15050i
\(311\) 4.62000 + 26.2013i 0.261976 + 1.48574i 0.777509 + 0.628872i \(0.216483\pi\)
−0.515533 + 0.856870i \(0.672406\pi\)
\(312\) −28.5204 16.1641i −1.61465 0.915111i
\(313\) −20.0560 + 23.9018i −1.13363 + 1.35101i −0.205544 + 0.978648i \(0.565896\pi\)
−0.928088 + 0.372362i \(0.878548\pi\)
\(314\) −13.3978 23.2057i −0.756084 1.30958i
\(315\) −17.9892 + 11.9389i −1.01358 + 0.672680i
\(316\) −40.5623 + 70.2560i −2.28181 + 3.95221i
\(317\) −4.23367 11.6319i −0.237787 0.653313i −0.999982 0.00596653i \(-0.998101\pi\)
0.762196 0.647347i \(-0.224121\pi\)
\(318\) −23.3228 27.3487i −1.30788 1.53364i
\(319\) −0.675794 + 0.567058i −0.0378372 + 0.0317492i
\(320\) 13.1685 + 74.6821i 0.736140 + 4.17486i
\(321\) 5.13103 30.5224i 0.286386 1.70360i
\(322\) −9.23503 + 2.07379i −0.514648 + 0.115568i
\(323\) 12.1780i 0.677602i
\(324\) 23.0125 42.9716i 1.27847 2.38731i
\(325\) 4.22711 2.44053i 0.234478 0.135376i
\(326\) 0.954455 1.13748i 0.0528624 0.0629989i
\(327\) 10.4590 12.6686i 0.578386 0.700576i
\(328\) 1.93111 + 2.30140i 0.106627 + 0.127074i
\(329\) −14.8685 + 9.52940i −0.819729 + 0.525373i
\(330\) 1.78946 0.330281i 0.0985065 0.0181814i
\(331\) 17.8661 6.50272i 0.982008 0.357422i 0.199388 0.979921i \(-0.436105\pi\)
0.782621 + 0.622499i \(0.213882\pi\)
\(332\) 5.57146 0.305774
\(333\) 21.2664 18.4311i 1.16539 1.01002i
\(334\) 34.8545i 1.90715i
\(335\) 0.847127 4.80430i 0.0462835 0.262487i
\(336\) −7.96852 + 65.9799i −0.434718 + 3.59950i
\(337\) 22.8085 + 8.30162i 1.24246 + 0.452218i 0.877847 0.478941i \(-0.158979\pi\)
0.364612 + 0.931159i \(0.381201\pi\)
\(338\) −15.5109 18.4852i −0.843682 1.00546i
\(339\) −1.38044 2.34752i −0.0749755 0.127500i
\(340\) 55.3993 20.1637i 3.00445 1.09353i
\(341\) −0.603356 −0.0326735
\(342\) −12.0861 + 21.7277i −0.653542 + 1.17490i
\(343\) 14.6004 11.3942i 0.788347 0.615230i
\(344\) −22.1674 + 26.4180i −1.19518 + 1.42437i
\(345\) 1.12337 + 6.08639i 0.0604800 + 0.327680i
\(346\) −5.88697 7.01582i −0.316485 0.377173i
\(347\) −10.4256 + 28.6441i −0.559675 + 1.53769i 0.260438 + 0.965491i \(0.416133\pi\)
−0.820112 + 0.572203i \(0.806089\pi\)
\(348\) −54.6724 + 20.3949i −2.93075 + 1.09328i
\(349\) 3.07591 + 8.45099i 0.164650 + 0.452371i 0.994390 0.105779i \(-0.0337336\pi\)
−0.829740 + 0.558150i \(0.811511\pi\)
\(350\) −13.7428 10.4858i −0.734581 0.560488i
\(351\) −7.93312 + 6.98716i −0.423439 + 0.372947i
\(352\) 1.48123 2.56557i 0.0789500 0.136745i
\(353\) −13.7471 11.5352i −0.731685 0.613957i 0.198905 0.980019i \(-0.436261\pi\)
−0.930590 + 0.366062i \(0.880706\pi\)
\(354\) 23.4715 + 19.3778i 1.24750 + 1.02992i
\(355\) 18.6687 3.29179i 0.990831 0.174710i
\(356\) −4.86447 27.5878i −0.257816 1.46215i
\(357\) 18.3106 0.996034i 0.969099 0.0527157i
\(358\) 2.78259 + 2.33487i 0.147064 + 0.123402i
\(359\) 23.3898 13.5041i 1.23447 0.712719i 0.266508 0.963833i \(-0.414130\pi\)
0.967958 + 0.251114i \(0.0807969\pi\)
\(360\) 74.9653 + 11.9876i 3.95102 + 0.631803i
\(361\) −4.86923 + 8.43376i −0.256275 + 0.443882i
\(362\) 6.37574 + 5.34988i 0.335101 + 0.281184i
\(363\) 16.5452 + 9.37708i 0.868399 + 0.492169i
\(364\) 13.3911 25.8962i 0.701884 1.35733i
\(365\) 3.94563 10.8405i 0.206524 0.567419i
\(366\) −46.0761 + 27.0948i −2.40844 + 1.41627i
\(367\) −5.49659 15.1017i −0.286920 0.788305i −0.996493 0.0836737i \(-0.973335\pi\)
0.709574 0.704631i \(-0.248888\pi\)
\(368\) 16.4990 + 9.52572i 0.860072 + 0.496563i
\(369\) 0.904958 0.345838i 0.0471103 0.0180036i
\(370\) 60.1789 + 34.7443i 3.12855 + 1.80627i
\(371\) 14.8271 13.6611i 0.769785 0.709249i
\(372\) −37.6102 13.3499i −1.95000 0.692161i
\(373\) 18.4113 + 6.70115i 0.953299 + 0.346972i 0.771404 0.636346i \(-0.219555\pi\)
0.181895 + 0.983318i \(0.441777\pi\)
\(374\) −1.45232 0.528603i −0.0750979 0.0273334i
\(375\) 7.80127 9.44937i 0.402856 0.487964i
\(376\) 61.1545 + 10.7832i 3.15380 + 0.556101i
\(377\) 12.6549 0.651759
\(378\) 33.6578 + 16.3953i 1.73117 + 0.843286i
\(379\) 4.00603 0.205776 0.102888 0.994693i \(-0.467192\pi\)
0.102888 + 0.994693i \(0.467192\pi\)
\(380\) −44.1547 7.78567i −2.26509 0.399397i
\(381\) 30.8732 + 5.19000i 1.58168 + 0.265892i
\(382\) −38.7233 14.0941i −1.98126 0.721118i
\(383\) −19.9066 7.24540i −1.01718 0.370222i −0.220993 0.975275i \(-0.570930\pi\)
−0.796185 + 0.605053i \(0.793152\pi\)
\(384\) 44.9996 38.3754i 2.29637 1.95834i
\(385\) 0.223634 + 0.995891i 0.0113975 + 0.0507553i
\(386\) 11.2651 + 6.50390i 0.573377 + 0.331040i
\(387\) 5.71348 + 9.54093i 0.290432 + 0.484993i
\(388\) 34.5720 + 19.9602i 1.75513 + 1.01332i
\(389\) 6.11758 + 16.8079i 0.310174 + 0.852195i 0.992621 + 0.121260i \(0.0386936\pi\)
−0.682447 + 0.730935i \(0.739084\pi\)
\(390\) −22.7095 12.8707i −1.14994 0.651734i
\(391\) 1.79791 4.93971i 0.0909242 0.249812i
\(392\) −64.9043 5.32191i −3.27816 0.268797i
\(393\) −8.18767 + 4.81471i −0.413013 + 0.242870i
\(394\) −16.9244 14.2012i −0.852637 0.715447i
\(395\) −20.3714 + 35.2844i −1.02500 + 1.77535i
\(396\) −1.50927 1.74144i −0.0758436 0.0875105i
\(397\) −13.9690 + 8.06502i −0.701085 + 0.404772i −0.807752 0.589523i \(-0.799316\pi\)
0.106666 + 0.994295i \(0.465982\pi\)
\(398\) −10.5173 8.82505i −0.527184 0.442360i
\(399\) −12.4385 6.30672i −0.622706 0.315731i
\(400\) 6.04197 + 34.2657i 0.302098 + 1.71328i
\(401\) 2.93174 0.516945i 0.146404 0.0258150i −0.0999658 0.994991i \(-0.531873\pi\)
0.246370 + 0.969176i \(0.420762\pi\)
\(402\) −7.92584 + 2.95664i −0.395305 + 0.147464i
\(403\) 6.63017 + 5.56337i 0.330272 + 0.277131i
\(404\) 18.2588 31.6251i 0.908407 1.57341i
\(405\) 11.5575 21.5814i 0.574296 1.07239i
\(406\) −17.2637 41.3589i −0.856781 2.05261i
\(407\) −0.455027 1.25018i −0.0225548 0.0619689i
\(408\) −49.7239 41.0513i −2.46170 2.03234i
\(409\) −7.88805 + 21.6722i −0.390039 + 1.07162i 0.576944 + 0.816783i \(0.304245\pi\)
−0.966983 + 0.254840i \(0.917977\pi\)
\(410\) 1.53765 + 1.83250i 0.0759391 + 0.0905007i
\(411\) 6.83358 + 2.42562i 0.337076 + 0.119647i
\(412\) −39.9570 + 47.6189i −1.96854 + 2.34601i
\(413\) −10.3562 + 13.5729i −0.509594 + 0.667879i
\(414\) 8.11023 7.02898i 0.398596 0.345455i
\(415\) 2.79813 0.137355
\(416\) −39.9335 + 14.5346i −1.95790 + 0.712617i
\(417\) −9.75901 + 17.2191i −0.477901 + 0.843224i
\(418\) 0.755532 + 0.900407i 0.0369543 + 0.0440404i
\(419\) 7.21684 + 2.62672i 0.352566 + 0.128323i 0.512231 0.858848i \(-0.328819\pi\)
−0.159665 + 0.987171i \(0.551041\pi\)
\(420\) −8.09498 + 67.0270i −0.394995 + 3.27058i
\(421\) 6.15920 34.9305i 0.300181 1.70241i −0.345183 0.938535i \(-0.612183\pi\)
0.645364 0.763875i \(-0.276706\pi\)
\(422\) 8.37399i 0.407639i
\(423\) 9.73424 17.4996i 0.473295 0.850861i
\(424\) −70.8916 −3.44280
\(425\) 9.02157 3.28358i 0.437610 0.159277i
\(426\) −21.3298 25.0117i −1.03343 1.21182i
\(427\) −16.1783 25.2427i −0.782923 1.22158i
\(428\) −62.2114 74.1407i −3.00710 3.58373i
\(429\) 0.174673 + 0.468246i 0.00843330 + 0.0226071i
\(430\) −17.6508 + 21.0355i −0.851200 + 1.01442i
\(431\) 12.6881 7.32548i 0.611164 0.352856i −0.162257 0.986749i \(-0.551877\pi\)
0.773421 + 0.633893i \(0.218544\pi\)
\(432\) −27.4623 70.1756i −1.32128 3.37633i
\(433\) 20.7962i 0.999403i 0.866198 + 0.499701i \(0.166557\pi\)
−0.866198 + 0.499701i \(0.833443\pi\)
\(434\) 9.13749 29.2583i 0.438614 1.40445i
\(435\) −27.4579 + 10.2428i −1.31650 + 0.491106i
\(436\) −8.92056 50.5910i −0.427217 2.42287i
\(437\) −3.06251 + 2.56975i −0.146500 + 0.122928i
\(438\) −19.6720 + 3.63087i −0.939967 + 0.173490i
\(439\) −8.96881 24.6416i −0.428058 1.17608i −0.946990 0.321263i \(-0.895892\pi\)
0.518932 0.854815i \(-0.326330\pi\)
\(440\) 1.79451 3.10818i 0.0855498 0.148177i
\(441\) −8.46531 + 19.2182i −0.403110 + 0.915152i
\(442\) 11.0852 + 19.2002i 0.527272 + 0.913261i
\(443\) −0.0928329 + 0.110634i −0.00441063 + 0.00525638i −0.768245 0.640156i \(-0.778870\pi\)
0.763835 + 0.645412i \(0.223314\pi\)
\(444\) −0.702521 87.9977i −0.0333402 4.17619i
\(445\) −2.44306 13.8553i −0.115812 0.656804i
\(446\) −37.1037 + 31.1337i −1.75691 + 1.47422i
\(447\) 19.8102 34.9537i 0.936988 1.65325i
\(448\) 49.9798 + 54.2457i 2.36132 + 2.56287i
\(449\) 15.6193 9.01783i 0.737122 0.425578i −0.0838999 0.996474i \(-0.526738\pi\)
0.821022 + 0.570897i \(0.193404\pi\)
\(450\) 19.3549 + 3.09502i 0.912398 + 0.145901i
\(451\) 0.0457996i 0.00215662i
\(452\) −8.38653 1.47877i −0.394469 0.0695556i
\(453\) −0.258820 0.303496i −0.0121604 0.0142595i
\(454\) 19.4001 3.42076i 0.910492 0.160544i
\(455\) 6.72535 13.0057i 0.315289 0.609719i
\(456\) 17.1393 + 45.9452i 0.802621 + 2.15158i
\(457\) −3.40011 + 19.2830i −0.159050 + 0.902020i 0.795938 + 0.605378i \(0.206978\pi\)
−0.954989 + 0.296642i \(0.904133\pi\)
\(458\) −20.6860 35.8291i −0.966591 1.67418i
\(459\) −17.7531 + 10.8247i −0.828643 + 0.505255i
\(460\) 16.7609 + 9.67690i 0.781480 + 0.451188i
\(461\) −12.6847 + 4.61684i −0.590784 + 0.215028i −0.620074 0.784543i \(-0.712898\pi\)
0.0292902 + 0.999571i \(0.490675\pi\)
\(462\) 1.29204 1.20965i 0.0601111 0.0562778i
\(463\) −6.46334 + 5.42339i −0.300377 + 0.252046i −0.780501 0.625154i \(-0.785036\pi\)
0.480124 + 0.877200i \(0.340592\pi\)
\(464\) −30.8535 + 84.7693i −1.43234 + 3.93531i
\(465\) −18.8888 6.70468i −0.875946 0.310922i
\(466\) 5.85969 33.2319i 0.271445 1.53944i
\(467\) 6.97283 + 12.0773i 0.322664 + 0.558870i 0.981037 0.193822i \(-0.0620883\pi\)
−0.658373 + 0.752692i \(0.728755\pi\)
\(468\) 0.527783 + 33.0529i 0.0243968 + 1.52787i
\(469\) −1.82778 4.37883i −0.0843989 0.202196i
\(470\) 48.6945 + 8.58616i 2.24611 + 0.396050i
\(471\) −8.40319 + 14.8269i −0.387199 + 0.683186i
\(472\) 59.1197 10.4244i 2.72121 0.479822i
\(473\) 0.517752 0.0912936i 0.0238063 0.00419768i
\(474\) 70.6475 0.564007i 3.24495 0.0259057i
\(475\) −7.19043 1.26787i −0.329920 0.0581737i
\(476\) 34.7837 45.5878i 1.59431 2.08951i
\(477\) −7.47478 + 21.6039i −0.342247 + 0.989176i
\(478\) −10.8453 18.7845i −0.496051 0.859185i
\(479\) −3.80300 + 21.5679i −0.173764 + 0.985462i 0.765798 + 0.643082i \(0.222344\pi\)
−0.939561 + 0.342381i \(0.888767\pi\)
\(480\) 74.8813 63.8584i 3.41785 2.91473i
\(481\) −6.52732 + 17.9337i −0.297620 + 0.817704i
\(482\) −1.14392 + 0.959862i −0.0521041 + 0.0437205i
\(483\) 4.11431 + 4.39455i 0.187207 + 0.199959i
\(484\) 55.8826 20.3396i 2.54012 0.924527i
\(485\) 17.3630 + 10.0245i 0.788411 + 0.455189i
\(486\) −42.4177 + 1.69405i −1.92411 + 0.0768438i
\(487\) 4.85645 + 8.41162i 0.220067 + 0.381167i 0.954828 0.297159i \(-0.0960392\pi\)
−0.734761 + 0.678326i \(0.762706\pi\)
\(488\) −18.3069 + 103.824i −0.828715 + 4.69987i
\(489\) −0.931337 0.156564i −0.0421165 0.00708008i
\(490\) −51.6803 4.23759i −2.33468 0.191435i
\(491\) 26.7581 4.71818i 1.20758 0.212928i 0.466606 0.884465i \(-0.345477\pi\)
0.740971 + 0.671537i \(0.234366\pi\)
\(492\) 1.01337 2.85492i 0.0456862 0.128710i
\(493\) 24.5128 + 4.32226i 1.10400 + 0.194665i
\(494\) 16.8610i 0.758611i
\(495\) −0.757994 0.874595i −0.0340693 0.0393101i
\(496\) −53.4314 + 30.8486i −2.39914 + 1.38514i
\(497\) 13.5601 12.4937i 0.608253 0.560420i
\(498\) −2.45950 4.18251i −0.110213 0.187423i
\(499\) −24.8714 + 20.8696i −1.11340 + 0.934253i −0.998252 0.0590959i \(-0.981178\pi\)
−0.115147 + 0.993349i \(0.536734\pi\)
\(500\) −6.65374 37.7352i −0.297564 1.68757i
\(501\) −19.1091 + 11.2370i −0.853731 + 0.502032i
\(502\) 31.0405 36.9926i 1.38540 1.65106i
\(503\) −12.9131 22.3661i −0.575764 0.997253i −0.995958 0.0898189i \(-0.971371\pi\)
0.420194 0.907434i \(-0.361962\pi\)
\(504\) 67.6805 29.5282i 3.01473 1.31529i
\(505\) 9.17002 15.8829i 0.408060 0.706781i
\(506\) −0.173531 0.476773i −0.00771439 0.0211951i
\(507\) −5.13388 + 14.4635i −0.228004 + 0.642345i
\(508\) 74.9928 62.9264i 3.32727 2.79191i
\(509\) 5.07095 + 28.7588i 0.224766 + 1.27471i 0.863132 + 0.504978i \(0.168499\pi\)
−0.638367 + 0.769733i \(0.720390\pi\)
\(510\) −39.5928 32.6873i −1.75320 1.44742i
\(511\) −2.45848 10.9481i −0.108757 0.484316i
\(512\) 33.0926i 1.46250i
\(513\) 15.8088 0.378688i 0.697975 0.0167195i
\(514\) −65.9842 + 38.0960i −2.91044 + 1.68034i
\(515\) −20.0674 + 23.9154i −0.884276 + 1.05384i
\(516\) 34.2940 + 5.76506i 1.50971 + 0.253793i
\(517\) −0.608510 0.725194i −0.0267623 0.0318940i
\(518\) 67.5156 3.13225i 2.96646 0.137623i
\(519\) −1.94850 + 5.48943i −0.0855297 + 0.240959i
\(520\) −48.3792 + 17.6086i −2.12157 + 0.772188i
\(521\) −2.87036 −0.125753 −0.0628763 0.998021i \(-0.520027\pi\)
−0.0628763 + 0.998021i \(0.520027\pi\)
\(522\) 39.4454 + 32.0395i 1.72648 + 1.40233i
\(523\) 7.76370i 0.339483i 0.985489 + 0.169742i \(0.0542933\pi\)
−0.985489 + 0.169742i \(0.945707\pi\)
\(524\) −5.15765 + 29.2505i −0.225313 + 1.27781i
\(525\) −1.31824 + 10.9151i −0.0575326 + 0.476374i
\(526\) 28.5509 + 10.3917i 1.24488 + 0.453098i
\(527\) 10.9426 + 13.0409i 0.476668 + 0.568071i
\(528\) −3.56243 + 0.0284403i −0.155035 + 0.00123771i
\(529\) −19.9913 + 7.27624i −0.869187 + 0.316358i
\(530\) −56.4477 −2.45193
\(531\) 3.05676 19.1157i 0.132652 0.829549i
\(532\) −40.2445 + 16.7985i −1.74482 + 0.728308i
\(533\) −0.422306 + 0.503284i −0.0182921 + 0.0217997i
\(534\) −18.5628 + 15.8303i −0.803292 + 0.685044i
\(535\) −31.2442 37.2354i −1.35080 1.60983i
\(536\) −5.70648 + 15.6784i −0.246482 + 0.677205i
\(537\) 0.383001 2.27832i 0.0165277 0.0983167i
\(538\) 4.45020 + 12.2268i 0.191862 + 0.527136i
\(539\) 0.705817 + 0.698161i 0.0304017 + 0.0300719i
\(540\) −27.8981 71.2893i −1.20054 3.06780i
\(541\) 0.0411054 0.0711966i 0.00176726 0.00306098i −0.865140 0.501530i \(-0.832771\pi\)
0.866908 + 0.498469i \(0.166104\pi\)
\(542\) 44.6289 + 37.4481i 1.91697 + 1.60853i
\(543\) 0.877569 5.22030i 0.0376601 0.224025i
\(544\) −82.3163 + 14.5146i −3.52928 + 0.622307i
\(545\) −4.48013 25.4081i −0.191908 1.08836i
\(546\) −25.3518 + 1.37905i −1.08496 + 0.0590180i
\(547\) 0.989409 + 0.830213i 0.0423041 + 0.0354973i 0.663695 0.748004i \(-0.268987\pi\)
−0.621390 + 0.783501i \(0.713432\pi\)
\(548\) 19.6372 11.3375i 0.838859 0.484315i
\(549\) 29.7096 + 16.5261i 1.26797 + 0.705316i
\(550\) 0.463314 0.802484i 0.0197558 0.0342180i
\(551\) −14.5011 12.1679i −0.617769 0.518370i
\(552\) −0.168985 21.1670i −0.00719246 0.900926i
\(553\) 1.83652 + 39.5860i 0.0780967 + 1.68337i
\(554\) −11.5350 + 31.6921i −0.490074 + 1.34647i
\(555\) −0.352824 44.1947i −0.0149766 1.87596i
\(556\) 21.1680 + 58.1587i 0.897725 + 2.46648i
\(557\) 35.2510 + 20.3522i 1.49363 + 0.862350i 0.999973 0.00730507i \(-0.00232530\pi\)
0.493660 + 0.869655i \(0.335659\pi\)
\(558\) 6.58104 + 34.1273i 0.278598 + 1.44473i
\(559\) −6.53128 3.77084i −0.276244 0.159489i
\(560\) 70.7227 + 76.7591i 2.98858 + 3.24366i
\(561\) 0.178417 + 0.966661i 0.00753277 + 0.0408125i
\(562\) 39.9603 + 14.5444i 1.68563 + 0.613517i
\(563\) 32.9305 + 11.9857i 1.38786 + 0.505138i 0.924550 0.381060i \(-0.124441\pi\)
0.463306 + 0.886198i \(0.346663\pi\)
\(564\) −21.8857 58.6690i −0.921555 2.47041i
\(565\) −4.21193 0.742677i −0.177197 0.0312447i
\(566\) 62.2760 2.61765
\(567\) −1.86238 23.7388i −0.0782128 0.996937i
\(568\) −64.8337 −2.72036
\(569\) −5.97075 1.05280i −0.250307 0.0441359i 0.0470868 0.998891i \(-0.485006\pi\)
−0.297394 + 0.954755i \(0.596117\pi\)
\(570\) 13.6472 + 36.5841i 0.571620 + 1.53234i
\(571\) 7.29077 + 2.65362i 0.305109 + 0.111051i 0.490038 0.871701i \(-0.336983\pi\)
−0.184928 + 0.982752i \(0.559205\pi\)
\(572\) 1.46853 + 0.534502i 0.0614024 + 0.0223486i
\(573\) 4.75712 + 25.7741i 0.198732 + 1.07673i
\(574\) 2.22095 + 0.693610i 0.0927006 + 0.0289507i
\(575\) 2.72945 + 1.57585i 0.113826 + 0.0657173i
\(576\) −79.0391 27.3468i −3.29329 1.13945i
\(577\) 24.3850 + 14.0787i 1.01516 + 0.586104i 0.912699 0.408633i \(-0.133994\pi\)
0.102463 + 0.994737i \(0.467328\pi\)
\(578\) −0.919447 2.52616i −0.0382440 0.105074i
\(579\) −0.0660463 8.27295i −0.00274479 0.343812i
\(580\) −31.3431 + 86.1146i −1.30145 + 3.57571i
\(581\) 2.29138 1.46857i 0.0950626 0.0609266i
\(582\) −0.277540 34.7647i −0.0115044 1.44104i
\(583\) 0.827889 + 0.694681i 0.0342876 + 0.0287707i
\(584\) −19.7276 + 34.1691i −0.816332 + 1.41393i
\(585\) 0.265066 + 16.6000i 0.0109591 + 0.686327i
\(586\) 77.7615 44.8956i 3.21230 1.85462i
\(587\) 14.0329 + 11.7750i 0.579200 + 0.486006i 0.884684 0.466191i \(-0.154374\pi\)
−0.305484 + 0.952197i \(0.598818\pi\)
\(588\) 28.5495 + 59.1368i 1.17736 + 2.43876i
\(589\) −2.24818 12.7501i −0.0926347 0.525357i
\(590\) 47.0743 8.30047i 1.93802 0.341725i
\(591\) −2.32950 + 13.8573i −0.0958229 + 0.570011i
\(592\) −104.215 87.4471i −4.28323 3.59405i
\(593\) −10.2123 + 17.6882i −0.419367 + 0.726366i −0.995876 0.0907255i \(-0.971081\pi\)
0.576509 + 0.817091i \(0.304415\pi\)
\(594\) −0.641041 + 1.90176i −0.0263022 + 0.0780304i
\(595\) 17.4693 22.8954i 0.716170 0.938619i
\(596\) −42.9697 118.058i −1.76011 4.83586i
\(597\) −1.44762 + 8.61130i −0.0592471 + 0.352437i
\(598\) −2.48929 + 6.83925i −0.101794 + 0.279678i
\(599\) −19.6942 23.4706i −0.804684 0.958985i 0.195079 0.980788i \(-0.437504\pi\)
−0.999762 + 0.0218030i \(0.993059\pi\)
\(600\) 29.4153 25.0853i 1.20088 1.02410i
\(601\) 2.11771 2.52379i 0.0863832 0.102947i −0.721122 0.692809i \(-0.756373\pi\)
0.807505 + 0.589861i \(0.200818\pi\)
\(602\) −3.41399 + 26.4898i −0.139144 + 1.07964i
\(603\) 4.17625 + 3.39216i 0.170070 + 0.138139i
\(604\) −1.24728 −0.0507511
\(605\) 28.0657 10.2151i 1.14103 0.415301i
\(606\) −31.8013 + 0.253883i −1.29184 + 0.0103133i
\(607\) −28.1092 33.4993i −1.14092 1.35969i −0.923492 0.383618i \(-0.874678\pi\)
−0.217427 0.976077i \(-0.569766\pi\)
\(608\) 59.7348 + 21.7417i 2.42256 + 0.881741i
\(609\) −17.1094 + 22.7988i −0.693306 + 0.923855i
\(610\) −14.5769 + 82.6699i −0.590203 + 3.34721i
\(611\) 13.5799i 0.549386i
\(612\) −10.2669 + 64.2045i −0.415014 + 2.59531i
\(613\) −20.8813 −0.843387 −0.421694 0.906738i \(-0.638564\pi\)
−0.421694 + 0.906738i \(0.638564\pi\)
\(614\) 40.0564 14.5793i 1.61654 0.588374i
\(615\) 0.508940 1.43381i 0.0205224 0.0578169i
\(616\) −0.161778 3.48711i −0.00651822 0.140500i
\(617\) 13.6109 + 16.2208i 0.547954 + 0.653026i 0.966951 0.254961i \(-0.0820627\pi\)
−0.418997 + 0.907988i \(0.637618\pi\)
\(618\) 53.3865 + 8.97464i 2.14752 + 0.361013i
\(619\) 2.45683 2.92793i 0.0987483 0.117684i −0.714407 0.699730i \(-0.753303\pi\)
0.813155 + 0.582047i \(0.197748\pi\)
\(620\) −54.2794 + 31.3382i −2.17991 + 1.25857i
\(621\) −6.46837 2.18034i −0.259567 0.0874940i
\(622\) 72.4539i 2.90514i
\(623\) −9.27243 10.0639i −0.371492 0.403200i
\(624\) 39.4092 + 32.5357i 1.57763 + 1.30247i
\(625\) −5.42474 30.7652i −0.216990 1.23061i
\(626\) 65.0910 54.6178i 2.60156 2.18297i
\(627\) 0.250070 0.704511i 0.00998683 0.0281355i
\(628\) 18.2272 + 50.0787i 0.727343 + 1.99836i
\(629\) −18.7688 + 32.5085i −0.748360 + 1.29620i
\(630\) 53.8909 23.5119i 2.14706 0.936737i
\(631\) −20.3234 35.2011i −0.809061 1.40133i −0.913515 0.406805i \(-0.866643\pi\)
0.104454 0.994530i \(-0.466690\pi\)
\(632\) 89.5690 106.744i 3.56286 4.24605i
\(633\) 4.59107 2.69975i 0.182478 0.107305i
\(634\) 5.85363 + 33.1976i 0.232478 + 1.31845i
\(635\) 37.6633 31.6033i 1.49462 1.25414i
\(636\) 36.2358 + 61.6209i 1.43684 + 2.44343i
\(637\) −1.31856 14.1801i −0.0522431 0.561837i
\(638\) 2.08056 1.20121i 0.0823703 0.0475565i
\(639\) −6.83604 + 19.7578i −0.270430 + 0.781608i
\(640\) 92.8792i 3.67137i
\(641\) 10.4719 + 1.84648i 0.413616 + 0.0729316i 0.376584 0.926383i \(-0.377099\pi\)
0.0370316 + 0.999314i \(0.488210\pi\)
\(642\) −28.1946 + 79.4315i −1.11275 + 3.13491i
\(643\) −41.6989 + 7.35263i −1.64444 + 0.289960i −0.917796 0.397052i \(-0.870033\pi\)
−0.726646 + 0.687012i \(0.758922\pi\)
\(644\) 18.8043 0.872388i 0.740992 0.0343769i
\(645\) 17.2233 + 2.89536i 0.678168 + 0.114005i
\(646\) 5.75885 32.6601i 0.226579 1.28499i
\(647\) −20.0622 34.7487i −0.788726 1.36611i −0.926748 0.375685i \(-0.877408\pi\)
0.138021 0.990429i \(-0.455926\pi\)
\(648\) −51.7443 + 65.8253i −2.03271 + 2.58586i
\(649\) −0.792565 0.457588i −0.0311109 0.0179619i
\(650\) −12.4908 + 4.54627i −0.489928 + 0.178319i
\(651\) −18.9869 + 4.42314i −0.744154 + 0.173357i
\(652\) −2.26227 + 1.89827i −0.0885974 + 0.0743420i
\(653\) 7.62691 20.9548i 0.298464 0.820023i −0.696293 0.717758i \(-0.745169\pi\)
0.994757 0.102266i \(-0.0326092\pi\)
\(654\) −34.0409 + 29.0299i −1.33110 + 1.13516i
\(655\) −2.59031 + 14.6904i −0.101212 + 0.574000i
\(656\) −2.34166 4.05588i −0.0914266 0.158355i
\(657\) 8.33284 + 9.61468i 0.325095 + 0.375104i
\(658\) 44.3822 18.5256i 1.73020 0.722205i
\(659\) −14.8769 2.62320i −0.579522 0.102185i −0.123800 0.992307i \(-0.539508\pi\)
−0.455723 + 0.890122i \(0.650619\pi\)
\(660\) −3.61897 + 0.0288917i −0.140868 + 0.00112461i
\(661\) −19.6850 + 3.47099i −0.765656 + 0.135006i −0.542819 0.839850i \(-0.682643\pi\)
−0.222837 + 0.974856i \(0.571532\pi\)
\(662\) −50.9900 + 8.99091i −1.98178 + 0.349442i
\(663\) 6.95273 12.2676i 0.270021 0.476435i
\(664\) −9.42449 1.66179i −0.365741 0.0644900i
\(665\) −20.2118 + 8.43664i −0.783780 + 0.327159i
\(666\) −65.7500 + 39.3737i −2.54776 + 1.52570i
\(667\) 4.08562 + 7.07651i 0.158196 + 0.274003i
\(668\) −12.0374 + 68.2674i −0.465740 + 2.64134i
\(669\) 29.0313 + 10.3048i 1.12241 + 0.398407i
\(670\) −4.54381 + 12.4840i −0.175543 + 0.482299i
\(671\) 1.23118 1.03308i 0.0475292 0.0398818i
\(672\) 27.8047 91.5943i 1.07259 3.53332i
\(673\) 38.6509 14.0678i 1.48988 0.542273i 0.536463 0.843924i \(-0.319760\pi\)
0.953418 + 0.301651i \(0.0975377\pi\)
\(674\) −57.2443 33.0500i −2.20497 1.27304i
\(675\) −4.54310 11.6092i −0.174864 0.446838i
\(676\) 23.9962 + 41.5626i 0.922930 + 1.59856i
\(677\) 3.61587 20.5066i 0.138969 0.788134i −0.833044 0.553207i \(-0.813404\pi\)
0.972013 0.234927i \(-0.0754850\pi\)
\(678\) 2.59209 + 6.94859i 0.0995485 + 0.266859i
\(679\) 19.4798 0.903726i 0.747564 0.0346818i
\(680\) −99.7258 + 17.5844i −3.82431 + 0.674329i
\(681\) −8.12997 9.53332i −0.311541 0.365318i
\(682\) 1.61813 + 0.285321i 0.0619616 + 0.0109255i
\(683\) 26.1374i 1.00012i −0.865991 0.500060i \(-0.833311\pi\)
0.865991 0.500060i \(-0.166689\pi\)
\(684\) 31.1762 38.3826i 1.19205 1.46760i
\(685\) 9.86230 5.69400i 0.376819 0.217557i
\(686\) −44.5449 + 23.6537i −1.70073 + 0.903103i
\(687\) −12.9743 + 22.8923i −0.495002 + 0.873397i
\(688\) 41.1829 34.5565i 1.57008 1.31746i
\(689\) −2.69207 15.2675i −0.102560 0.581644i
\(690\) −0.134555 16.8543i −0.00512240 0.641631i
\(691\) 19.9455 23.7702i 0.758764 0.904260i −0.239005 0.971018i \(-0.576821\pi\)
0.997769 + 0.0667585i \(0.0212657\pi\)
\(692\) 9.10745 + 15.7746i 0.346213 + 0.599659i
\(693\) −1.07974 0.318379i −0.0410160 0.0120942i
\(694\) 41.5058 71.8901i 1.57554 2.72891i
\(695\) 10.6311 + 29.2088i 0.403262 + 1.10795i
\(696\) 98.5651 18.1922i 3.73610 0.689573i
\(697\) −0.989912 + 0.830635i −0.0374956 + 0.0314625i
\(698\) −4.25287 24.1192i −0.160974 0.912926i
\(699\) −20.1087 + 7.50129i −0.760579 + 0.283725i
\(700\) 23.2957 + 25.2841i 0.880495 + 0.955647i
\(701\) 35.8873i 1.35545i 0.735317 + 0.677723i \(0.237033\pi\)
−0.735317 + 0.677723i \(0.762967\pi\)
\(702\) 24.5799 14.9873i 0.927710 0.565660i
\(703\) 24.7232 14.2739i 0.932451 0.538351i
\(704\) −2.54153 + 3.02887i −0.0957873 + 0.114155i
\(705\) −10.9916 29.4651i −0.413967 1.10972i
\(706\) 31.4134 + 37.4370i 1.18226 + 1.40896i
\(707\) −0.826692 17.8193i −0.0310909 0.670164i
\(708\) −39.2799 46.0601i −1.47623 1.73105i
\(709\) 47.5071 17.2912i 1.78417 0.649384i 0.784598 0.620004i \(-0.212869\pi\)
0.999568 0.0293794i \(-0.00935309\pi\)
\(710\) −51.6241 −1.93742
\(711\) −23.0857 38.5509i −0.865783 1.44577i
\(712\) 48.1175i 1.80328i
\(713\) −0.970447 + 5.50368i −0.0363435 + 0.206114i
\(714\) −49.5781 5.98764i −1.85541 0.224082i
\(715\) 0.737535 + 0.268441i 0.0275822 + 0.0100391i
\(716\) −4.64371 5.53416i −0.173544 0.206821i
\(717\) −6.80221 + 12.0020i −0.254033 + 0.448224i
\(718\) −69.1148 + 25.1557i −2.57934 + 0.938804i
\(719\) 41.8931 1.56235 0.781175 0.624312i \(-0.214621\pi\)
0.781175 + 0.624312i \(0.214621\pi\)
\(720\) −111.842 38.6965i −4.16812 1.44213i
\(721\) −3.88140 + 30.1165i −0.144551 + 1.12160i
\(722\) 17.0470 20.3158i 0.634424 0.756077i
\(723\) 0.895043 + 0.317700i 0.0332870 + 0.0118154i
\(724\) −10.6401 12.6804i −0.395437 0.471264i
\(725\) −5.10411 + 14.0234i −0.189562 + 0.520817i
\(726\) −39.9382 32.9724i −1.48224 1.22372i
\(727\) 4.61680 + 12.6846i 0.171228 + 0.470444i 0.995390 0.0959094i \(-0.0305759\pi\)
−0.824162 + 0.566354i \(0.808354\pi\)
\(728\) −30.3760 + 39.8110i −1.12581 + 1.47549i
\(729\) 14.6041 + 22.7095i 0.540893 + 0.841092i
\(730\) −15.7081 + 27.2073i −0.581384 + 1.00699i
\(731\) −11.3633 9.53495i −0.420287 0.352663i
\(732\) 99.6038 37.1560i 3.68146 1.37332i
\(733\) −26.9369 + 4.74970i −0.994936 + 0.175434i −0.647333 0.762208i \(-0.724116\pi\)
−0.347603 + 0.937642i \(0.613004\pi\)
\(734\) 7.59979 + 43.1006i 0.280513 + 1.59087i
\(735\) 14.3383 + 29.7000i 0.528876 + 1.09550i
\(736\) −21.0201 17.6380i −0.774813 0.650145i
\(737\) 0.220278 0.127177i 0.00811404 0.00468464i
\(738\) −2.59055 + 0.499555i −0.0953593 + 0.0183889i
\(739\) −8.53378 + 14.7809i −0.313920 + 0.543726i −0.979207 0.202862i \(-0.934976\pi\)
0.665287 + 0.746588i \(0.268309\pi\)
\(740\) −105.869 88.8349i −3.89183 3.26564i
\(741\) −9.24408 + 5.43593i −0.339590 + 0.199694i
\(742\) −46.2249 + 29.6260i −1.69697 + 1.08760i
\(743\) 2.70067 7.42004i 0.0990781 0.272215i −0.880244 0.474521i \(-0.842621\pi\)
0.979322 + 0.202306i \(0.0648436\pi\)
\(744\) 59.6382 + 33.8002i 2.18644 + 1.23918i
\(745\) −21.5805 59.2920i −0.790649 2.17229i
\(746\) −46.2081 26.6783i −1.69180 0.976761i
\(747\) −1.50014 + 2.69686i −0.0548872 + 0.0986729i
\(748\) 2.66202 + 1.53692i 0.0973331 + 0.0561953i
\(749\) −45.1284 14.0938i −1.64896 0.514975i
\(750\) −25.3907 + 21.6531i −0.927137 + 0.790658i
\(751\) 6.02030 + 2.19121i 0.219684 + 0.0799584i 0.449517 0.893272i \(-0.351596\pi\)
−0.229834 + 0.973230i \(0.573818\pi\)
\(752\) −90.9659 33.1089i −3.31719 1.20736i
\(753\) −30.2886 5.09173i −1.10378 0.185553i
\(754\) −33.9390 5.98436i −1.23599 0.217938i
\(755\) −0.626416 −0.0227976
\(756\) −60.2612 43.7366i −2.19168 1.59069i
\(757\) −31.0889 −1.12994 −0.564972 0.825110i \(-0.691113\pi\)
−0.564972 + 0.825110i \(0.691113\pi\)
\(758\) −10.7437 1.89441i −0.390230 0.0688081i
\(759\) −0.205446 + 0.248849i −0.00745722 + 0.00903264i
\(760\) 72.3684 + 26.3400i 2.62508 + 0.955451i
\(761\) 9.23274 + 3.36044i 0.334687 + 0.121816i 0.503896 0.863764i \(-0.331899\pi\)
−0.169210 + 0.985580i \(0.554122\pi\)
\(762\) −80.3444 28.5187i −2.91057 1.03312i
\(763\) −17.0040 18.4553i −0.615585 0.668126i
\(764\) 70.9773 + 40.9788i 2.56787 + 1.48256i
\(765\) −5.15629 + 32.2451i −0.186426 + 1.16583i
\(766\) 49.9610 + 28.8450i 1.80516 + 1.04221i
\(767\) 4.49008 + 12.3364i 0.162127 + 0.445441i
\(768\) −55.5833 + 32.6854i −2.00569 + 1.17943i
\(769\) 7.53988 20.7157i 0.271895 0.747026i −0.726323 0.687354i \(-0.758772\pi\)
0.998218 0.0596720i \(-0.0190055\pi\)
\(770\) −0.128816 2.77663i −0.00464221 0.100063i
\(771\) 42.1594 + 23.8940i 1.51833 + 0.860522i
\(772\) −19.8180 16.6293i −0.713266 0.598501i
\(773\) −4.62590 + 8.01229i −0.166382 + 0.288182i −0.937145