Properties

Label 162.3.h.a.65.13
Level $162$
Weight $3$
Character 162.65
Analytic conductor $4.414$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 162 = 2 \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 162.h (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.41418028264\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(18\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 65.13
Character \(\chi\) \(=\) 162.65
Dual form 162.3.h.a.5.13

$q$-expansion

\(f(q)\) \(=\) \(q+(0.326140 - 1.37609i) q^{2} +(-1.18720 - 2.75509i) q^{3} +(-1.78727 - 0.897598i) q^{4} +(-3.75904 - 2.79850i) q^{5} +(-4.17846 + 0.735156i) q^{6} +(1.03380 + 0.679940i) q^{7} +(-1.81808 + 2.16670i) q^{8} +(-6.18109 + 6.54172i) q^{9} +O(q^{10})\) \(q+(0.326140 - 1.37609i) q^{2} +(-1.18720 - 2.75509i) q^{3} +(-1.78727 - 0.897598i) q^{4} +(-3.75904 - 2.79850i) q^{5} +(-4.17846 + 0.735156i) q^{6} +(1.03380 + 0.679940i) q^{7} +(-1.81808 + 2.16670i) q^{8} +(-6.18109 + 6.54172i) q^{9} +(-5.07698 + 4.26009i) q^{10} +(-0.479947 - 4.10621i) q^{11} +(-0.351120 + 5.98972i) q^{12} +(-1.23625 + 4.12937i) q^{13} +(1.27282 - 1.20085i) q^{14} +(-3.24739 + 13.6789i) q^{15} +(2.38863 + 3.20849i) q^{16} +(-7.03846 + 1.24107i) q^{17} +(6.98611 + 10.6393i) q^{18} +(-1.18798 + 6.73736i) q^{19} +(4.20647 + 8.37578i) q^{20} +(0.645969 - 3.65544i) q^{21} +(-5.80706 - 0.678747i) q^{22} +(-18.9862 - 28.8671i) q^{23} +(8.12790 + 2.43666i) q^{24} +(-0.871303 - 2.91036i) q^{25} +(5.27921 + 3.04795i) q^{26} +(25.3613 + 9.26315i) q^{27} +(-1.23736 - 2.14317i) q^{28} +(-8.94383 - 8.43806i) q^{29} +(17.7644 + 8.92996i) q^{30} +(-0.301108 - 5.16983i) q^{31} +(5.19421 - 2.24057i) q^{32} +(-10.7432 + 6.19721i) q^{33} +(-0.587696 + 10.0903i) q^{34} +(-1.98328 - 5.44901i) q^{35} +(16.9191 - 6.14364i) q^{36} +(-13.6953 - 4.98470i) q^{37} +(8.88378 + 3.83209i) q^{38} +(12.8445 - 1.49641i) q^{39} +(12.8978 - 3.05682i) q^{40} +(-17.2211 - 72.6617i) q^{41} +(-4.81955 - 2.08110i) q^{42} +(-15.2354 + 35.3195i) q^{43} +(-2.82793 + 7.76968i) q^{44} +(41.5420 - 7.29278i) q^{45} +(-45.9160 + 16.7121i) q^{46} +(5.69788 + 0.331864i) q^{47} +(6.00391 - 10.3900i) q^{48} +(-18.8015 - 43.5867i) q^{49} +(-4.28909 + 0.249811i) q^{50} +(11.7754 + 17.9182i) q^{51} +(5.91603 - 6.27062i) q^{52} +(69.6501 - 40.2125i) q^{53} +(21.0183 - 31.8784i) q^{54} +(-9.68710 + 16.7785i) q^{55} +(-3.35275 + 1.00375i) q^{56} +(19.9724 - 4.72562i) q^{57} +(-14.5285 + 9.55555i) q^{58} +(6.72110 - 57.5027i) q^{59} +(18.0821 - 21.5330i) q^{60} +(2.15750 - 1.08354i) q^{61} +(-7.21237 - 1.27173i) q^{62} +(-10.8380 + 2.56004i) q^{63} +(-1.38919 - 7.87846i) q^{64} +(16.2032 - 12.0628i) q^{65} +(5.02414 + 16.8048i) q^{66} +(80.9129 + 85.7627i) q^{67} +(13.6936 + 4.09959i) q^{68} +(-56.9912 + 86.5799i) q^{69} +(-8.14517 + 0.952034i) q^{70} +(3.83286 + 4.56783i) q^{71} +(-2.93623 - 25.2859i) q^{72} +(-73.3797 - 61.5728i) q^{73} +(-11.3260 + 17.2204i) q^{74} +(-6.98389 + 5.85571i) q^{75} +(8.17067 - 10.9751i) q^{76} +(2.29581 - 4.57133i) q^{77} +(2.12990 - 18.1633i) q^{78} +(71.4760 + 16.9401i) q^{79} -18.7455i q^{80} +(-4.58814 - 80.8700i) q^{81} -105.606 q^{82} +(-25.0437 + 105.668i) q^{83} +(-4.43563 + 5.95342i) q^{84} +(29.9310 + 15.0319i) q^{85} +(43.6341 + 32.4844i) q^{86} +(-12.6295 + 34.6588i) q^{87} +(9.76951 + 6.42551i) q^{88} +(16.7750 - 19.9917i) q^{89} +(3.51297 - 59.5442i) q^{90} +(-4.08576 + 3.42836i) q^{91} +(8.02230 + 68.6352i) q^{92} +(-13.8859 + 6.96722i) q^{93} +(2.31498 - 7.73258i) q^{94} +(23.3202 - 22.0014i) q^{95} +(-12.3396 - 11.6505i) q^{96} +(22.3747 + 30.0544i) q^{97} +(-66.1113 + 11.6572i) q^{98} +(29.8283 + 22.2412i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q+O(q^{10}) \) Copy content Toggle raw display \( 324 q + 72 q^{18} + 108 q^{20} + 270 q^{21} + 162 q^{23} - 54 q^{27} - 162 q^{29} - 216 q^{30} - 378 q^{33} - 486 q^{35} - 180 q^{36} - 108 q^{38} + 216 q^{41} + 432 q^{45} + 324 q^{47} + 126 q^{51} - 216 q^{57} - 378 q^{59} - 540 q^{63} - 1728 q^{65} - 1008 q^{66} + 702 q^{67} - 216 q^{68} - 1872 q^{69} + 540 q^{70} - 1296 q^{71} - 576 q^{72} - 864 q^{74} - 900 q^{75} + 108 q^{76} - 864 q^{77} - 288 q^{78} + 108 q^{79} + 144 q^{81} + 432 q^{83} + 144 q^{84} - 540 q^{85} + 864 q^{86} + 2016 q^{87} - 216 q^{88} + 1782 q^{89} + 1440 q^{90} + 864 q^{92} + 2124 q^{93} - 756 q^{94} + 2808 q^{95} + 288 q^{96} - 918 q^{97} + 1296 q^{98} + 1800 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).

\(n\) \(83\)
\(\chi(n)\) \(e\left(\frac{31}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.326140 1.37609i 0.163070 0.688047i
\(3\) −1.18720 2.75509i −0.395735 0.918365i
\(4\) −1.78727 0.897598i −0.446816 0.224400i
\(5\) −3.75904 2.79850i −0.751808 0.559701i 0.151620 0.988439i \(-0.451551\pi\)
−0.903429 + 0.428738i \(0.858958\pi\)
\(6\) −4.17846 + 0.735156i −0.696410 + 0.122526i
\(7\) 1.03380 + 0.679940i 0.147685 + 0.0971343i 0.621201 0.783651i \(-0.286645\pi\)
−0.473516 + 0.880785i \(0.657015\pi\)
\(8\) −1.81808 + 2.16670i −0.227260 + 0.270838i
\(9\) −6.18109 + 6.54172i −0.686788 + 0.726858i
\(10\) −5.07698 + 4.26009i −0.507698 + 0.426009i
\(11\) −0.479947 4.10621i −0.0436315 0.373292i −0.997360 0.0726211i \(-0.976864\pi\)
0.953728 0.300671i \(-0.0972105\pi\)
\(12\) −0.351120 + 5.98972i −0.0292600 + 0.499143i
\(13\) −1.23625 + 4.12937i −0.0950963 + 0.317644i −0.992281 0.124012i \(-0.960424\pi\)
0.897184 + 0.441656i \(0.145609\pi\)
\(14\) 1.27282 1.20085i 0.0909160 0.0857748i
\(15\) −3.24739 + 13.6789i −0.216493 + 0.911927i
\(16\) 2.38863 + 3.20849i 0.149290 + 0.200531i
\(17\) −7.03846 + 1.24107i −0.414027 + 0.0730042i −0.376782 0.926302i \(-0.622969\pi\)
−0.0372453 + 0.999306i \(0.511858\pi\)
\(18\) 6.98611 + 10.6393i 0.388117 + 0.591071i
\(19\) −1.18798 + 6.73736i −0.0625252 + 0.354598i 0.937454 + 0.348110i \(0.113176\pi\)
−0.999979 + 0.00648804i \(0.997935\pi\)
\(20\) 4.20647 + 8.37578i 0.210324 + 0.418789i
\(21\) 0.645969 3.65544i 0.0307604 0.174069i
\(22\) −5.80706 0.678747i −0.263957 0.0308522i
\(23\) −18.9862 28.8671i −0.825487 1.25509i −0.964310 0.264775i \(-0.914702\pi\)
0.138823 0.990317i \(-0.455668\pi\)
\(24\) 8.12790 + 2.43666i 0.338662 + 0.101528i
\(25\) −0.871303 2.91036i −0.0348521 0.116414i
\(26\) 5.27921 + 3.04795i 0.203046 + 0.117229i
\(27\) 25.3613 + 9.26315i 0.939306 + 0.343080i
\(28\) −1.23736 2.14317i −0.0441914 0.0765417i
\(29\) −8.94383 8.43806i −0.308408 0.290968i 0.516439 0.856324i \(-0.327257\pi\)
−0.824847 + 0.565356i \(0.808739\pi\)
\(30\) 17.7644 + 8.92996i 0.592145 + 0.297665i
\(31\) −0.301108 5.16983i −0.00971317 0.166769i −0.999676 0.0254427i \(-0.991900\pi\)
0.989963 0.141326i \(-0.0451366\pi\)
\(32\) 5.19421 2.24057i 0.162319 0.0700177i
\(33\) −10.7432 + 6.19721i −0.325551 + 0.187794i
\(34\) −0.587696 + 10.0903i −0.0172852 + 0.296775i
\(35\) −1.98328 5.44901i −0.0566651 0.155686i
\(36\) 16.9191 6.14364i 0.469975 0.170657i
\(37\) −13.6953 4.98470i −0.370145 0.134722i 0.150249 0.988648i \(-0.451992\pi\)
−0.520393 + 0.853927i \(0.674215\pi\)
\(38\) 8.88378 + 3.83209i 0.233784 + 0.100844i
\(39\) 12.8445 1.49641i 0.329346 0.0383695i
\(40\) 12.8978 3.05682i 0.322444 0.0764206i
\(41\) −17.2211 72.6617i −0.420028 1.77224i −0.612022 0.790841i \(-0.709643\pi\)
0.191994 0.981396i \(-0.438505\pi\)
\(42\) −4.81955 2.08110i −0.114751 0.0495500i
\(43\) −15.2354 + 35.3195i −0.354311 + 0.821384i 0.644095 + 0.764945i \(0.277234\pi\)
−0.998406 + 0.0564391i \(0.982025\pi\)
\(44\) −2.82793 + 7.76968i −0.0642712 + 0.176584i
\(45\) 41.5420 7.29278i 0.923156 0.162062i
\(46\) −45.9160 + 16.7121i −0.998174 + 0.363306i
\(47\) 5.69788 + 0.331864i 0.121231 + 0.00706093i 0.118653 0.992936i \(-0.462142\pi\)
0.00257817 + 0.999997i \(0.499179\pi\)
\(48\) 6.00391 10.3900i 0.125081 0.216459i
\(49\) −18.8015 43.5867i −0.383704 0.889525i
\(50\) −4.28909 + 0.249811i −0.0857817 + 0.00499622i
\(51\) 11.7754 + 17.9182i 0.230889 + 0.351338i
\(52\) 5.91603 6.27062i 0.113770 0.120589i
\(53\) 69.6501 40.2125i 1.31415 0.758726i 0.331372 0.943500i \(-0.392489\pi\)
0.982781 + 0.184774i \(0.0591552\pi\)
\(54\) 21.0183 31.8784i 0.389227 0.590341i
\(55\) −9.68710 + 16.7785i −0.176129 + 0.305064i
\(56\) −3.35275 + 1.00375i −0.0598706 + 0.0179241i
\(57\) 19.9724 4.72562i 0.350394 0.0829057i
\(58\) −14.5285 + 9.55555i −0.250491 + 0.164751i
\(59\) 6.72110 57.5027i 0.113917 0.974622i −0.808518 0.588471i \(-0.799730\pi\)
0.922435 0.386151i \(-0.126196\pi\)
\(60\) 18.0821 21.5330i 0.301369 0.358883i
\(61\) 2.15750 1.08354i 0.0353689 0.0177629i −0.431027 0.902339i \(-0.641849\pi\)
0.466396 + 0.884576i \(0.345552\pi\)
\(62\) −7.21237 1.27173i −0.116329 0.0205119i
\(63\) −10.8380 + 2.56004i −0.172031 + 0.0406356i
\(64\) −1.38919 7.87846i −0.0217060 0.123101i
\(65\) 16.2032 12.0628i 0.249280 0.185582i
\(66\) 5.02414 + 16.8048i 0.0761234 + 0.254618i
\(67\) 80.9129 + 85.7627i 1.20766 + 1.28004i 0.949439 + 0.313953i \(0.101653\pi\)
0.258217 + 0.966087i \(0.416865\pi\)
\(68\) 13.6936 + 4.09959i 0.201376 + 0.0602881i
\(69\) −56.9912 + 86.5799i −0.825959 + 1.25478i
\(70\) −8.14517 + 0.952034i −0.116360 + 0.0136005i
\(71\) 3.83286 + 4.56783i 0.0539840 + 0.0643356i 0.792361 0.610053i \(-0.208852\pi\)
−0.738377 + 0.674388i \(0.764407\pi\)
\(72\) −2.93623 25.2859i −0.0407810 0.351194i
\(73\) −73.3797 61.5728i −1.00520 0.843464i −0.0175043 0.999847i \(-0.505572\pi\)
−0.987696 + 0.156383i \(0.950017\pi\)
\(74\) −11.3260 + 17.2204i −0.153054 + 0.232708i
\(75\) −6.98389 + 5.85571i −0.0931185 + 0.0780761i
\(76\) 8.17067 10.9751i 0.107509 0.144409i
\(77\) 2.29581 4.57133i 0.0298157 0.0593679i
\(78\) 2.12990 18.1633i 0.0273064 0.232862i
\(79\) 71.4760 + 16.9401i 0.904760 + 0.214432i 0.656557 0.754276i \(-0.272012\pi\)
0.248203 + 0.968708i \(0.420160\pi\)
\(80\) 18.7455i 0.234318i
\(81\) −4.58814 80.8700i −0.0566438 0.998394i
\(82\) −105.606 −1.28788
\(83\) −25.0437 + 105.668i −0.301731 + 1.27310i 0.585081 + 0.810975i \(0.301063\pi\)
−0.886812 + 0.462130i \(0.847085\pi\)
\(84\) −4.43563 + 5.95342i −0.0528052 + 0.0708740i
\(85\) 29.9310 + 15.0319i 0.352130 + 0.176846i
\(86\) 43.6341 + 32.4844i 0.507373 + 0.377725i
\(87\) −12.6295 + 34.6588i −0.145167 + 0.398377i
\(88\) 9.76951 + 6.42551i 0.111017 + 0.0730171i
\(89\) 16.7750 19.9917i 0.188484 0.224626i −0.663525 0.748155i \(-0.730940\pi\)
0.852008 + 0.523528i \(0.175385\pi\)
\(90\) 3.51297 59.5442i 0.0390330 0.661602i
\(91\) −4.08576 + 3.42836i −0.0448984 + 0.0376743i
\(92\) 8.02230 + 68.6352i 0.0871989 + 0.746035i
\(93\) −13.8859 + 6.96722i −0.149311 + 0.0749163i
\(94\) 2.31498 7.73258i 0.0246275 0.0822615i
\(95\) 23.3202 22.0014i 0.245476 0.231594i
\(96\) −12.3396 11.6505i −0.128537 0.121360i
\(97\) 22.3747 + 30.0544i 0.230667 + 0.309839i 0.902354 0.430996i \(-0.141838\pi\)
−0.671687 + 0.740835i \(0.734430\pi\)
\(98\) −66.1113 + 11.6572i −0.674606 + 0.118951i
\(99\) 29.8283 + 22.2412i 0.301295 + 0.224658i
\(100\) −1.05508 + 5.98366i −0.0105508 + 0.0598366i
\(101\) 19.8698 + 39.5640i 0.196731 + 0.391723i 0.970270 0.242026i \(-0.0778118\pi\)
−0.773539 + 0.633748i \(0.781515\pi\)
\(102\) 28.4976 10.3601i 0.279388 0.101570i
\(103\) −59.7261 6.98098i −0.579865 0.0677765i −0.178896 0.983868i \(-0.557253\pi\)
−0.400969 + 0.916091i \(0.631327\pi\)
\(104\) −6.69951 10.1861i −0.0644183 0.0979433i
\(105\) −12.6580 + 11.9332i −0.120552 + 0.113650i
\(106\) −32.6205 108.960i −0.307740 1.02792i
\(107\) 56.5453 + 32.6464i 0.528460 + 0.305107i 0.740389 0.672178i \(-0.234641\pi\)
−0.211929 + 0.977285i \(0.567975\pi\)
\(108\) −37.0127 39.3199i −0.342710 0.364074i
\(109\) −33.8412 58.6146i −0.310469 0.537749i 0.667995 0.744166i \(-0.267153\pi\)
−0.978464 + 0.206417i \(0.933820\pi\)
\(110\) 19.9295 + 18.8025i 0.181177 + 0.170932i
\(111\) 2.52585 + 43.6498i 0.0227554 + 0.393242i
\(112\) 0.287784 + 4.94106i 0.00256950 + 0.0441166i
\(113\) −128.858 + 55.5838i −1.14033 + 0.491892i −0.880634 0.473797i \(-0.842883\pi\)
−0.259700 + 0.965689i \(0.583624\pi\)
\(114\) 0.0109102 29.0251i 9.57035e−5 0.254607i
\(115\) −9.41479 + 161.646i −0.0818677 + 1.40561i
\(116\) 8.41100 + 23.1090i 0.0725086 + 0.199216i
\(117\) −19.3718 33.6112i −0.165571 0.287276i
\(118\) −76.9371 28.0028i −0.652009 0.237312i
\(119\) −8.12020 3.50271i −0.0682370 0.0294346i
\(120\) −23.7341 31.9055i −0.197784 0.265879i
\(121\) 101.108 23.9630i 0.835602 0.198041i
\(122\) −0.787402 3.32231i −0.00645412 0.0272321i
\(123\) −179.745 + 133.710i −1.46134 + 1.08707i
\(124\) −4.10227 + 9.51013i −0.0330828 + 0.0766946i
\(125\) −44.9402 + 123.472i −0.359521 + 0.987776i
\(126\) −0.0118397 + 15.7490i −9.39660e−5 + 0.124992i
\(127\) 30.8384 11.2243i 0.242822 0.0883800i −0.217742 0.976006i \(-0.569869\pi\)
0.460564 + 0.887626i \(0.347647\pi\)
\(128\) −11.2946 0.657834i −0.0882388 0.00513933i
\(129\) 115.396 + 0.0433760i 0.894543 + 0.000336248i
\(130\) −11.3151 26.2313i −0.0870389 0.201779i
\(131\) −194.851 + 11.3488i −1.48741 + 0.0866320i −0.782495 0.622656i \(-0.786053\pi\)
−0.704918 + 0.709288i \(0.749016\pi\)
\(132\) 24.7635 1.43297i 0.187603 0.0108559i
\(133\) −5.80913 + 6.15731i −0.0436776 + 0.0462956i
\(134\) 144.406 83.3731i 1.07766 0.622187i
\(135\) −69.4111 105.794i −0.514157 0.783660i
\(136\) 10.1074 17.5066i 0.0743195 0.128725i
\(137\) −60.7207 + 18.1786i −0.443217 + 0.132690i −0.500632 0.865660i \(-0.666899\pi\)
0.0574156 + 0.998350i \(0.481714\pi\)
\(138\) 100.555 + 106.662i 0.728659 + 0.772915i
\(139\) 50.8054 33.4152i 0.365506 0.240397i −0.353449 0.935454i \(-0.614991\pi\)
0.718955 + 0.695057i \(0.244621\pi\)
\(140\) −1.34638 + 11.5190i −0.00961700 + 0.0822787i
\(141\) −5.85023 16.0922i −0.0414910 0.114129i
\(142\) 7.53581 3.78462i 0.0530691 0.0266523i
\(143\) 17.5494 + 3.09443i 0.122723 + 0.0216394i
\(144\) −35.7534 4.20622i −0.248288 0.0292099i
\(145\) 10.0063 + 56.7484i 0.0690087 + 0.391368i
\(146\) −108.662 + 80.8959i −0.744260 + 0.554081i
\(147\) −97.7644 + 103.546i −0.665064 + 0.704396i
\(148\) 20.0030 + 21.2019i 0.135155 + 0.143256i
\(149\) 177.202 + 53.0507i 1.18927 + 0.356045i 0.819501 0.573078i \(-0.194251\pi\)
0.369771 + 0.929123i \(0.379436\pi\)
\(150\) 5.78027 + 11.5203i 0.0385352 + 0.0768018i
\(151\) 141.239 16.5085i 0.935359 0.109328i 0.365262 0.930905i \(-0.380979\pi\)
0.570098 + 0.821577i \(0.306905\pi\)
\(152\) −12.4380 14.8230i −0.0818290 0.0975200i
\(153\) 35.3867 53.7148i 0.231285 0.351077i
\(154\) −5.54182 4.65014i −0.0359858 0.0301957i
\(155\) −13.3359 + 20.2762i −0.0860381 + 0.130815i
\(156\) −24.2997 8.85471i −0.155767 0.0567610i
\(157\) 133.752 179.661i 0.851926 1.14434i −0.136198 0.990682i \(-0.543488\pi\)
0.988125 0.153654i \(-0.0491041\pi\)
\(158\) 46.6224 92.8328i 0.295078 0.587549i
\(159\) −193.478 144.152i −1.21684 0.906618i
\(160\) −25.7955 6.11365i −0.161222 0.0382103i
\(161\) 42.7522i 0.265542i
\(162\) −112.781 20.0612i −0.696179 0.123835i
\(163\) 61.0660 0.374638 0.187319 0.982299i \(-0.440020\pi\)
0.187319 + 0.982299i \(0.440020\pi\)
\(164\) −34.4423 + 145.323i −0.210014 + 0.886119i
\(165\) 57.7270 + 6.76932i 0.349861 + 0.0410262i
\(166\) 137.241 + 68.9249i 0.826752 + 0.415210i
\(167\) −225.300 167.730i −1.34910 1.00437i −0.997675 0.0681536i \(-0.978289\pi\)
−0.351427 0.936215i \(-0.614303\pi\)
\(168\) 6.74582 + 8.04550i 0.0401537 + 0.0478899i
\(169\) 125.674 + 82.6571i 0.743633 + 0.489095i
\(170\) 30.4470 36.2854i 0.179100 0.213443i
\(171\) −36.7309 49.4157i −0.214801 0.288980i
\(172\) 58.9324 49.4501i 0.342630 0.287501i
\(173\) −28.4323 243.254i −0.164348 1.40609i −0.783779 0.621039i \(-0.786711\pi\)
0.619431 0.785051i \(-0.287363\pi\)
\(174\) 43.5747 + 28.6830i 0.250429 + 0.164845i
\(175\) 1.07811 3.60115i 0.00616066 0.0205780i
\(176\) 12.0283 11.3481i 0.0683427 0.0644780i
\(177\) −166.405 + 49.7502i −0.940140 + 0.281074i
\(178\) −22.0395 29.6041i −0.123817 0.166315i
\(179\) 159.424 28.1107i 0.890636 0.157043i 0.290437 0.956894i \(-0.406199\pi\)
0.600199 + 0.799851i \(0.295088\pi\)
\(180\) −80.7926 24.2539i −0.448848 0.134744i
\(181\) 38.2737 217.061i 0.211457 1.19923i −0.675493 0.737367i \(-0.736069\pi\)
0.886950 0.461866i \(-0.152820\pi\)
\(182\) 3.38521 + 6.74051i 0.0186001 + 0.0370358i
\(183\) −5.54665 4.65774i −0.0303096 0.0254522i
\(184\) 97.0648 + 11.3452i 0.527526 + 0.0616590i
\(185\) 37.5317 + 57.0642i 0.202874 + 0.308455i
\(186\) 5.05880 + 21.3806i 0.0271978 + 0.114949i
\(187\) 8.47419 + 28.3058i 0.0453165 + 0.151368i
\(188\) −9.88574 5.70753i −0.0525837 0.0303592i
\(189\) 19.9201 + 26.8204i 0.105397 + 0.141907i
\(190\) −22.6704 39.2663i −0.119318 0.206665i
\(191\) 104.098 + 98.2118i 0.545018 + 0.514198i 0.908770 0.417298i \(-0.137023\pi\)
−0.363752 + 0.931496i \(0.618504\pi\)
\(192\) −20.0567 + 13.1807i −0.104462 + 0.0686494i
\(193\) −19.9572 342.651i −0.103405 1.77540i −0.508443 0.861096i \(-0.669779\pi\)
0.405038 0.914300i \(-0.367258\pi\)
\(194\) 48.6549 20.9877i 0.250799 0.108184i
\(195\) −52.4707 30.3203i −0.269080 0.155489i
\(196\) −5.52015 + 94.7773i −0.0281640 + 0.483557i
\(197\) 110.556 + 303.751i 0.561200 + 1.54188i 0.817881 + 0.575387i \(0.195149\pi\)
−0.256681 + 0.966496i \(0.582629\pi\)
\(198\) 40.3341 33.7927i 0.203708 0.170670i
\(199\) 293.077 + 106.671i 1.47275 + 0.536037i 0.948846 0.315740i \(-0.102253\pi\)
0.523905 + 0.851777i \(0.324475\pi\)
\(200\) 7.88997 + 3.40340i 0.0394498 + 0.0170170i
\(201\) 140.224 324.740i 0.697633 1.61562i
\(202\) 60.9241 14.4393i 0.301604 0.0714816i
\(203\) −3.50874 14.8045i −0.0172844 0.0729287i
\(204\) −4.96232 42.5942i −0.0243251 0.208795i
\(205\) −138.609 + 321.332i −0.676142 + 1.56747i
\(206\) −29.0856 + 79.9119i −0.141192 + 0.387922i
\(207\) 306.196 + 54.2280i 1.47921 + 0.261971i
\(208\) −16.2020 + 5.89705i −0.0778943 + 0.0283512i
\(209\) 28.2352 + 1.64451i 0.135096 + 0.00786847i
\(210\) 12.2929 + 21.3105i 0.0585377 + 0.101478i
\(211\) −126.332 292.870i −0.598730 1.38801i −0.900594 0.434661i \(-0.856868\pi\)
0.301864 0.953351i \(-0.402391\pi\)
\(212\) −160.578 + 9.35260i −0.757443 + 0.0441160i
\(213\) 8.03441 15.9828i 0.0377202 0.0750368i
\(214\) 63.3662 67.1643i 0.296104 0.313852i
\(215\) 156.112 90.1314i 0.726103 0.419216i
\(216\) −66.1792 + 38.1092i −0.306385 + 0.176431i
\(217\) 3.20389 5.54929i 0.0147645 0.0255728i
\(218\) −91.6962 + 27.4520i −0.420625 + 0.125927i
\(219\) −82.5224 + 275.267i −0.376815 + 1.25693i
\(220\) 32.3738 21.2926i 0.147154 0.0967845i
\(221\) 3.57648 30.5987i 0.0161831 0.138456i
\(222\) 60.8900 + 10.7602i 0.274279 + 0.0484692i
\(223\) 24.3389 12.2235i 0.109143 0.0548137i −0.393390 0.919372i \(-0.628698\pi\)
0.502533 + 0.864558i \(0.332401\pi\)
\(224\) 6.89322 + 1.21546i 0.0307733 + 0.00542616i
\(225\) 24.4243 + 12.2894i 0.108553 + 0.0546194i
\(226\) 34.4628 + 195.448i 0.152490 + 0.864816i
\(227\) 126.058 93.8464i 0.555320 0.413420i −0.282581 0.959244i \(-0.591190\pi\)
0.837900 + 0.545823i \(0.183783\pi\)
\(228\) −39.9377 9.48128i −0.175166 0.0415845i
\(229\) 19.3682 + 20.5290i 0.0845771 + 0.0896465i 0.768280 0.640114i \(-0.221113\pi\)
−0.683703 + 0.729761i \(0.739631\pi\)
\(230\) 219.369 + 65.6748i 0.953778 + 0.285542i
\(231\) −15.3200 0.898068i −0.0663205 0.00388774i
\(232\) 34.5433 4.03754i 0.148894 0.0174032i
\(233\) −9.91663 11.8182i −0.0425606 0.0507218i 0.744344 0.667796i \(-0.232762\pi\)
−0.786905 + 0.617074i \(0.788318\pi\)
\(234\) −52.5701 + 15.6954i −0.224659 + 0.0670744i
\(235\) −20.4898 17.1930i −0.0871908 0.0731618i
\(236\) −63.6267 + 96.7398i −0.269605 + 0.409914i
\(237\) −38.1849 217.035i −0.161118 0.915758i
\(238\) −7.46839 + 10.0318i −0.0313798 + 0.0421504i
\(239\) 12.4845 24.8588i 0.0522366 0.104012i −0.866000 0.500044i \(-0.833317\pi\)
0.918236 + 0.396033i \(0.129613\pi\)
\(240\) −51.6455 + 22.2547i −0.215190 + 0.0927278i
\(241\) −314.386 74.5110i −1.30451 0.309174i −0.481121 0.876654i \(-0.659770\pi\)
−0.823387 + 0.567480i \(0.807918\pi\)
\(242\) 146.949i 0.607228i
\(243\) −217.357 + 108.650i −0.894475 + 0.447119i
\(244\) −4.82861 −0.0197894
\(245\) −51.3021 + 216.460i −0.209396 + 0.883512i
\(246\) 125.376 + 290.954i 0.509657 + 1.18274i
\(247\) −26.3524 13.2347i −0.106690 0.0535817i
\(248\) 11.7489 + 8.74674i 0.0473746 + 0.0352691i
\(249\) 320.856 56.4513i 1.28858 0.226712i
\(250\) 155.252 + 102.111i 0.621009 + 0.408444i
\(251\) −40.8010 + 48.6247i −0.162554 + 0.193724i −0.841173 0.540766i \(-0.818134\pi\)
0.678619 + 0.734490i \(0.262579\pi\)
\(252\) 21.6682 + 5.15267i 0.0859851 + 0.0204471i
\(253\) −109.422 + 91.8160i −0.432498 + 0.362909i
\(254\) −5.38799 46.0972i −0.0212125 0.181485i
\(255\) 5.88015 100.309i 0.0230594 0.393368i
\(256\) −4.58885 + 15.3278i −0.0179252 + 0.0598743i
\(257\) −298.916 + 282.012i −1.16310 + 1.09732i −0.169362 + 0.985554i \(0.554171\pi\)
−0.993734 + 0.111771i \(0.964348\pi\)
\(258\) 37.6950 158.782i 0.146105 0.615433i
\(259\) −10.7689 14.4652i −0.0415789 0.0558501i
\(260\) −39.7870 + 7.01551i −0.153027 + 0.0269827i
\(261\) 110.482 6.35151i 0.423303 0.0243353i
\(262\) −47.9318 + 271.835i −0.182946 + 1.03754i
\(263\) −24.7347 49.2509i −0.0940483 0.187266i 0.841690 0.539962i \(-0.181561\pi\)
−0.935738 + 0.352696i \(0.885265\pi\)
\(264\) 6.10448 34.5443i 0.0231230 0.130850i
\(265\) −374.352 43.7555i −1.41265 0.165115i
\(266\) 6.57845 + 10.0020i 0.0247310 + 0.0376017i
\(267\) −74.9945 22.4826i −0.280878 0.0842045i
\(268\) −67.6324 225.908i −0.252360 0.842940i
\(269\) 46.2803 + 26.7199i 0.172046 + 0.0993306i 0.583550 0.812077i \(-0.301663\pi\)
−0.411504 + 0.911408i \(0.634997\pi\)
\(270\) −168.220 + 61.0125i −0.623038 + 0.225972i
\(271\) −167.188 289.578i −0.616930 1.06855i −0.990043 0.140768i \(-0.955043\pi\)
0.373113 0.927786i \(-0.378290\pi\)
\(272\) −20.7943 19.6184i −0.0764496 0.0721265i
\(273\) 14.2961 + 7.18649i 0.0523666 + 0.0263241i
\(274\) 5.21197 + 89.4861i 0.0190218 + 0.326592i
\(275\) −11.5323 + 4.97457i −0.0419358 + 0.0180893i
\(276\) 179.572 103.586i 0.650624 0.375312i
\(277\) 1.49142 25.6067i 0.00538418 0.0924428i −0.994545 0.104304i \(-0.966739\pi\)
0.999930 + 0.0118611i \(0.00377559\pi\)
\(278\) −29.4128 80.8110i −0.105801 0.290687i
\(279\) 35.6807 + 29.9854i 0.127888 + 0.107475i
\(280\) 15.4121 + 5.60956i 0.0550433 + 0.0200341i
\(281\) −388.956 167.779i −1.38418 0.597079i −0.431797 0.901971i \(-0.642120\pi\)
−0.952387 + 0.304892i \(0.901380\pi\)
\(282\) −24.0523 + 2.80215i −0.0852920 + 0.00993670i
\(283\) −430.651 + 102.066i −1.52174 + 0.360658i −0.904622 0.426215i \(-0.859847\pi\)
−0.617114 + 0.786873i \(0.711698\pi\)
\(284\) −2.75027 11.6043i −0.00968404 0.0408602i
\(285\) −88.3019 38.1291i −0.309831 0.133786i
\(286\) 9.98179 23.1404i 0.0349013 0.0809104i
\(287\) 31.6024 86.8269i 0.110113 0.302533i
\(288\) −17.4488 + 47.8282i −0.0605861 + 0.166070i
\(289\) −223.571 + 81.3734i −0.773604 + 0.281569i
\(290\) 81.3545 + 4.73836i 0.280533 + 0.0163392i
\(291\) 56.2394 97.3250i 0.193263 0.334450i
\(292\) 75.8812 + 175.912i 0.259867 + 0.602440i
\(293\) −129.236 + 7.52712i −0.441077 + 0.0256898i −0.277247 0.960799i \(-0.589422\pi\)
−0.163830 + 0.986489i \(0.552385\pi\)
\(294\) 110.604 + 168.304i 0.376205 + 0.572461i
\(295\) −186.186 + 197.346i −0.631141 + 0.668970i
\(296\) 35.6996 20.6111i 0.120607 0.0696323i
\(297\) 25.8644 108.584i 0.0870854 0.365604i
\(298\) 130.795 226.544i 0.438910 0.760215i
\(299\) 142.675 42.7140i 0.477173 0.142856i
\(300\) 17.7381 4.19697i 0.0591271 0.0139899i
\(301\) −39.7654 + 26.1541i −0.132111 + 0.0868908i
\(302\) 23.3465 199.742i 0.0773065 0.661399i
\(303\) 85.4131 101.714i 0.281891 0.335689i
\(304\) −24.4544 + 12.2815i −0.0804421 + 0.0403996i
\(305\) −11.1424 1.96471i −0.0365326 0.00644168i
\(306\) −62.3756 66.2139i −0.203842 0.216385i
\(307\) 88.9681 + 504.563i 0.289798 + 1.64353i 0.687624 + 0.726067i \(0.258654\pi\)
−0.397826 + 0.917461i \(0.630235\pi\)
\(308\) −8.20643 + 6.10946i −0.0266443 + 0.0198359i
\(309\) 51.6738 + 172.839i 0.167229 + 0.559349i
\(310\) 23.5526 + 24.9643i 0.0759763 + 0.0805301i
\(311\) 456.224 + 136.584i 1.46696 + 0.439178i 0.917969 0.396652i \(-0.129828\pi\)
0.548988 + 0.835830i \(0.315013\pi\)
\(312\) −20.1100 + 30.5508i −0.0644552 + 0.0979191i
\(313\) −287.596 + 33.6152i −0.918837 + 0.107397i −0.562346 0.826902i \(-0.690101\pi\)
−0.356491 + 0.934299i \(0.616027\pi\)
\(314\) −203.608 242.650i −0.648433 0.772772i
\(315\) 47.9047 + 20.7068i 0.152078 + 0.0657359i
\(316\) −112.541 94.4333i −0.356143 0.298839i
\(317\) 13.1648 20.0161i 0.0415292 0.0631421i −0.814126 0.580688i \(-0.802784\pi\)
0.855656 + 0.517545i \(0.173154\pi\)
\(318\) −261.468 + 219.230i −0.822226 + 0.689403i
\(319\) −30.3559 + 40.7750i −0.0951595 + 0.127821i
\(320\) −16.8259 + 33.5031i −0.0525809 + 0.104697i
\(321\) 22.8132 194.546i 0.0710693 0.606061i
\(322\) −58.8311 13.9432i −0.182705 0.0433019i
\(323\) 48.8950i 0.151378i
\(324\) −64.3885 + 148.654i −0.198730 + 0.458810i
\(325\) 13.0951 0.0402926
\(326\) 19.9161 84.0325i 0.0610922 0.257768i
\(327\) −121.313 + 162.823i −0.370986 + 0.497930i
\(328\) 188.746 + 94.7916i 0.575444 + 0.288999i
\(329\) 5.66481 + 4.21729i 0.0172183 + 0.0128185i
\(330\) 28.1423 77.2300i 0.0852797 0.234030i
\(331\) 356.747 + 234.636i 1.07778 + 0.708870i 0.958816 0.284028i \(-0.0916709\pi\)
0.118968 + 0.992898i \(0.462041\pi\)
\(332\) 139.607 166.377i 0.420503 0.501136i
\(333\) 117.261 58.7802i 0.352134 0.176517i
\(334\) −304.291 + 255.330i −0.911051 + 0.764462i
\(335\) −64.1479 548.820i −0.191486 1.63827i
\(336\) 13.2714 6.65892i 0.0394983 0.0198182i
\(337\) −147.878 + 493.946i −0.438807 + 1.46572i 0.397576 + 0.917569i \(0.369852\pi\)
−0.836382 + 0.548147i \(0.815334\pi\)
\(338\) 154.731 145.981i 0.457785 0.431898i
\(339\) 306.119 + 289.026i 0.903007 + 0.852585i
\(340\) −40.0020 53.7321i −0.117653 0.158036i
\(341\) −21.0839 + 3.71766i −0.0618295 + 0.0109022i
\(342\) −79.9800 + 34.4287i −0.233860 + 0.100669i
\(343\) 20.7278 117.553i 0.0604309 0.342721i
\(344\) −48.8278 97.2241i −0.141941 0.282628i
\(345\) 456.526 165.968i 1.32326 0.481066i
\(346\) −344.013 40.2093i −0.994256 0.116212i
\(347\) −64.6946 98.3633i −0.186440 0.283468i 0.730158 0.683278i \(-0.239446\pi\)
−0.916598 + 0.399810i \(0.869076\pi\)
\(348\) 53.6820 50.6082i 0.154259 0.145426i
\(349\) −102.947 343.867i −0.294977 0.985292i −0.969099 0.246672i \(-0.920663\pi\)
0.674122 0.738620i \(-0.264522\pi\)
\(350\) −4.60391 2.65807i −0.0131540 0.00759448i
\(351\) −69.6039 + 93.2745i −0.198302 + 0.265739i
\(352\) −11.6932 20.2532i −0.0332193 0.0575374i
\(353\) 236.271 + 222.911i 0.669324 + 0.631475i 0.943955 0.330075i \(-0.107074\pi\)
−0.274630 + 0.961550i \(0.588556\pi\)
\(354\) 14.1896 + 245.214i 0.0400836 + 0.692695i
\(355\) −1.62481 27.8969i −0.00457693 0.0785829i
\(356\) −47.9260 + 20.6733i −0.134624 + 0.0580709i
\(357\) −0.00997244 + 26.5304i −2.79340e−5 + 0.0743148i
\(358\) 13.3115 228.550i 0.0371830 0.638408i
\(359\) 178.189 + 489.571i 0.496348 + 1.36371i 0.894780 + 0.446508i \(0.147333\pi\)
−0.398431 + 0.917198i \(0.630445\pi\)
\(360\) −59.7253 + 103.268i −0.165904 + 0.286855i
\(361\) 295.248 + 107.462i 0.817862 + 0.297678i
\(362\) −286.214 123.461i −0.790646 0.341051i
\(363\) −186.056 250.113i −0.512551 0.689016i
\(364\) 10.3796 2.46002i 0.0285154 0.00675829i
\(365\) 103.525 + 436.808i 0.283631 + 1.19673i
\(366\) −8.21848 + 6.11363i −0.0224549 + 0.0167039i
\(367\) −127.520 + 295.624i −0.347466 + 0.805516i 0.651438 + 0.758702i \(0.274166\pi\)
−0.998904 + 0.0468139i \(0.985093\pi\)
\(368\) 47.2688 129.870i 0.128448 0.352908i
\(369\) 581.778 + 336.473i 1.57663 + 0.911851i
\(370\) 90.7662 33.0362i 0.245314 0.0892870i
\(371\) 99.3462 + 5.78626i 0.267780 + 0.0155964i
\(372\) 31.0715 + 0.0116794i 0.0835256 + 3.13963e-5i
\(373\) 71.5614 + 165.898i 0.191854 + 0.444767i 0.986806 0.161905i \(-0.0517637\pi\)
−0.794953 + 0.606671i \(0.792504\pi\)
\(374\) 41.7151 2.42963i 0.111538 0.00649634i
\(375\) 393.530 22.7721i 1.04941 0.0607256i
\(376\) −11.0782 + 11.7422i −0.0294634 + 0.0312294i
\(377\) 45.9007 26.5008i 0.121753 0.0702939i
\(378\) 43.4040 18.6647i 0.114826 0.0493774i
\(379\) 164.490 284.905i 0.434010 0.751727i −0.563204 0.826318i \(-0.690432\pi\)
0.997214 + 0.0745905i \(0.0237650\pi\)
\(380\) −61.4278 + 18.3903i −0.161652 + 0.0483955i
\(381\) −67.5353 71.6372i −0.177258 0.188024i
\(382\) 169.099 111.218i 0.442668 0.291148i
\(383\) 69.5537 595.070i 0.181602 1.55371i −0.528086 0.849191i \(-0.677090\pi\)
0.709688 0.704516i \(-0.248836\pi\)
\(384\) 11.5966 + 31.8986i 0.0301994 + 0.0830692i
\(385\) −21.4229 + 10.7590i −0.0556439 + 0.0279454i
\(386\) −478.029 84.2894i −1.23842 0.218366i
\(387\) −136.879 317.979i −0.353693 0.821650i
\(388\) −13.0127 73.7986i −0.0335379 0.190203i
\(389\) 125.410 93.3644i 0.322391 0.240011i −0.423780 0.905765i \(-0.639297\pi\)
0.746172 + 0.665754i \(0.231890\pi\)
\(390\) −58.8363 + 62.3159i −0.150862 + 0.159784i
\(391\) 169.460 + 179.617i 0.433401 + 0.459378i
\(392\) 128.622 + 38.5069i 0.328117 + 0.0982319i
\(393\) 262.595 + 523.360i 0.668181 + 1.33171i
\(394\) 454.047 53.0704i 1.15240 0.134697i
\(395\) −221.274 263.705i −0.560188 0.667606i
\(396\) −33.3474 66.5247i −0.0842105 0.167992i
\(397\) −22.3148 18.7243i −0.0562085 0.0471645i 0.614251 0.789111i \(-0.289458\pi\)
−0.670459 + 0.741946i \(0.733903\pi\)
\(398\) 242.374 368.512i 0.608980 0.925909i
\(399\) 23.8606 + 8.69471i 0.0598010 + 0.0217912i
\(400\) 7.25663 9.74734i 0.0181416 0.0243684i
\(401\) −149.169 + 297.020i −0.371992 + 0.740698i −0.999274 0.0380947i \(-0.987871\pi\)
0.627282 + 0.778792i \(0.284167\pi\)
\(402\) −401.140 298.872i −0.997862 0.743464i
\(403\) 21.7204 + 5.14782i 0.0538967 + 0.0127738i
\(404\) 88.5465i 0.219174i
\(405\) −209.068 + 316.833i −0.516217 + 0.782305i
\(406\) −21.5167 −0.0529969
\(407\) −13.8952 + 58.6283i −0.0341405 + 0.144050i
\(408\) −60.2320 7.06306i −0.147627 0.0173114i
\(409\) 53.6889 + 26.9636i 0.131269 + 0.0659256i 0.513221 0.858256i \(-0.328452\pi\)
−0.381953 + 0.924182i \(0.624748\pi\)
\(410\) 396.977 + 295.538i 0.968236 + 0.720825i
\(411\) 122.172 + 145.710i 0.297255 + 0.354525i
\(412\) 100.480 + 66.0869i 0.243884 + 0.160405i
\(413\) 46.0466 54.8763i 0.111493 0.132872i
\(414\) 174.486 403.668i 0.421463 0.975044i
\(415\) 389.852 327.124i 0.939402 0.788252i
\(416\) 2.83076 + 24.2187i 0.00680472 + 0.0582181i
\(417\) −152.378 100.303i −0.365416 0.240535i
\(418\) 11.4716 38.3179i 0.0274441 0.0916695i
\(419\) −129.136 + 121.834i −0.308200 + 0.290772i −0.824764 0.565476i \(-0.808692\pi\)
0.516564 + 0.856249i \(0.327211\pi\)
\(420\) 33.3344 9.96601i 0.0793676 0.0237286i
\(421\) −441.929 593.614i −1.04971 1.41001i −0.907440 0.420182i \(-0.861966\pi\)
−0.142273 0.989827i \(-0.545441\pi\)
\(422\) −444.219 + 78.3278i −1.05265 + 0.185611i
\(423\) −37.3901 + 35.2226i −0.0883926 + 0.0832686i
\(424\) −39.5008 + 224.020i −0.0931624 + 0.528350i
\(425\) 9.74459 + 19.4031i 0.0229285 + 0.0456543i
\(426\) −19.3735 16.2687i −0.0454778 0.0381895i
\(427\) 2.96716 + 0.346812i 0.00694886 + 0.000812206i
\(428\) −71.7580 109.103i −0.167659 0.254913i
\(429\) −12.3093 52.0240i −0.0286929 0.121268i
\(430\) −73.1148 244.220i −0.170034 0.567954i
\(431\) −354.016 204.391i −0.821383 0.474226i 0.0295103 0.999564i \(-0.490605\pi\)
−0.850893 + 0.525339i \(0.823939\pi\)
\(432\) 30.8581 + 103.498i 0.0714307 + 0.239578i
\(433\) −36.2752 62.8304i −0.0837763 0.145105i 0.821093 0.570795i \(-0.193365\pi\)
−0.904869 + 0.425690i \(0.860031\pi\)
\(434\) −6.59143 6.21869i −0.0151876 0.0143288i
\(435\) 144.468 94.9401i 0.332110 0.218253i
\(436\) 7.87076 + 135.136i 0.0180522 + 0.309944i
\(437\) 217.043 93.6233i 0.496667 0.214241i
\(438\) 351.880 + 203.334i 0.803378 + 0.464234i
\(439\) 38.3383 658.243i 0.0873310 1.49942i −0.615544 0.788102i \(-0.711064\pi\)
0.702875 0.711313i \(-0.251899\pi\)
\(440\) −18.7422 51.4937i −0.0425959 0.117031i
\(441\) 401.346 + 146.420i 0.910082 + 0.332018i
\(442\) −40.9402 14.9010i −0.0926250 0.0337127i
\(443\) 92.2035 + 39.7727i 0.208134 + 0.0897804i 0.497595 0.867410i \(-0.334217\pi\)
−0.289460 + 0.957190i \(0.593476\pi\)
\(444\) 34.6657 80.2810i 0.0780758 0.180813i
\(445\) −119.005 + 28.2047i −0.267427 + 0.0633814i
\(446\) −8.88272 37.4792i −0.0199164 0.0840340i
\(447\) −64.2148 551.189i −0.143657 1.23309i
\(448\) 3.92074 9.08930i 0.00875166 0.0202886i
\(449\) −162.338 + 446.021i −0.361555 + 0.993365i 0.616925 + 0.787022i \(0.288378\pi\)
−0.978480 + 0.206342i \(0.933844\pi\)
\(450\) 24.8771 29.6021i 0.0552824 0.0657825i
\(451\) −290.099 + 105.587i −0.643235 + 0.234118i
\(452\) 280.195 + 16.3195i 0.619901 + 0.0361051i
\(453\) −213.162 369.529i −0.470557 0.815736i
\(454\) −88.0290 204.074i −0.193896 0.449502i
\(455\) 24.9528 1.45334i 0.0548413 0.00319414i
\(456\) −26.0724 + 51.8658i −0.0571764 + 0.113741i
\(457\) 334.544 354.596i 0.732044 0.775922i −0.249249 0.968439i \(-0.580184\pi\)
0.981294 + 0.192518i \(0.0616653\pi\)
\(458\) 34.5666 19.9570i 0.0754729 0.0435743i
\(459\) −190.001 33.7232i −0.413945 0.0734710i
\(460\) 161.920 280.453i 0.351999 0.609680i
\(461\) 84.4371 25.2788i 0.183161 0.0548348i −0.193909 0.981019i \(-0.562117\pi\)
0.377070 + 0.926185i \(0.376932\pi\)
\(462\) −6.23230 + 20.7889i −0.0134898 + 0.0449976i
\(463\) −330.043 + 217.073i −0.712836 + 0.468840i −0.853417 0.521230i \(-0.825474\pi\)
0.140580 + 0.990069i \(0.455103\pi\)
\(464\) 5.70994 48.8516i 0.0123059 0.105284i
\(465\) 71.6954 + 12.6696i 0.154184 + 0.0272465i
\(466\) −19.4971 + 9.79182i −0.0418393 + 0.0210125i
\(467\) −479.143 84.4858i −1.02600 0.180912i −0.364773 0.931096i \(-0.618854\pi\)
−0.661229 + 0.750184i \(0.729965\pi\)
\(468\) 4.45312 + 77.4603i 0.00951521 + 0.165513i
\(469\) 25.3342 + 143.677i 0.0540174 + 0.306348i
\(470\) −30.3418 + 22.5886i −0.0645569 + 0.0480608i
\(471\) −653.774 155.207i −1.38805 0.329526i
\(472\) 112.372 + 119.107i 0.238076 + 0.252345i
\(473\) 152.341 + 45.6080i 0.322075 + 0.0964229i
\(474\) −311.113 18.2376i −0.656358 0.0384760i
\(475\) 20.6432 2.41284i 0.0434594 0.00507967i
\(476\) 11.3689 + 13.5490i 0.0238843 + 0.0284642i
\(477\) −167.455 + 704.189i −0.351059 + 1.47629i
\(478\) −30.1363 25.2873i −0.0630466 0.0529024i
\(479\) 486.957 740.383i 1.01661 1.54568i 0.190887 0.981612i \(-0.438864\pi\)
0.825726 0.564072i \(-0.190766\pi\)
\(480\) 13.7808 + 78.3272i 0.0287101 + 0.163182i
\(481\) 37.5146 50.3908i 0.0779929 0.104763i
\(482\) −205.068 + 408.324i −0.425452 + 0.847145i
\(483\) −117.786 + 50.7556i −0.243864 + 0.105084i
\(484\) −202.216 47.9260i −0.417801 0.0990206i
\(485\) 175.591i 0.362044i
\(486\) 78.6234 + 334.539i 0.161777 + 0.688352i
\(487\) 874.166 1.79500 0.897501 0.441012i \(-0.145380\pi\)
0.897501 + 0.441012i \(0.145380\pi\)
\(488\) −1.57480 + 6.64462i −0.00322706 + 0.0136160i
\(489\) −72.4978 168.243i −0.148257 0.344054i
\(490\) 281.138 + 141.193i 0.573751 + 0.288149i
\(491\) −435.234 324.020i −0.886423 0.659918i 0.0545089 0.998513i \(-0.482641\pi\)
−0.940932 + 0.338596i \(0.890048\pi\)
\(492\) 441.270 77.6368i 0.896890 0.157798i
\(493\) 73.4230 + 48.2911i 0.148931 + 0.0979535i
\(494\) −26.8067 + 31.9470i −0.0542646 + 0.0646701i
\(495\) −49.8836 167.080i −0.100775 0.337535i
\(496\) 15.8681 13.3149i 0.0319922 0.0268446i
\(497\) 0.856559 + 7.32833i 0.00172346 + 0.0147451i
\(498\) 26.9619 459.939i 0.0541404 0.923573i
\(499\) −134.901 + 450.600i −0.270342 + 0.903006i 0.709748 + 0.704455i \(0.248809\pi\)
−0.980091 + 0.198551i \(0.936377\pi\)
\(500\) 191.148 180.339i 0.382297 0.360678i
\(501\) −194.634 + 819.852i −0.388491 + 1.63643i
\(502\) 53.6053 + 72.0044i 0.106784 + 0.143435i
\(503\) −558.146 + 98.4163i −1.10963 + 0.195659i −0.698286 0.715819i \(-0.746053\pi\)
−0.411349 + 0.911478i \(0.634942\pi\)
\(504\) 14.1574 28.1370i 0.0280902 0.0558274i
\(505\) 36.0286 204.328i 0.0713438 0.404611i
\(506\) 90.6605 + 180.520i 0.179171 + 0.356758i
\(507\) 78.5275 444.375i 0.154887 0.876479i
\(508\) −65.1912 7.61976i −0.128329 0.0149995i
\(509\) 226.476 + 344.341i 0.444944 + 0.676504i 0.986426 0.164208i \(-0.0525069\pi\)
−0.541482 + 0.840712i \(0.682137\pi\)
\(510\) −136.116 40.8064i −0.266895 0.0800125i
\(511\) −33.9939 113.548i −0.0665243 0.222207i
\(512\) 19.5959 + 11.3137i 0.0382733 + 0.0220971i
\(513\) −92.5378 + 159.864i −0.180386 + 0.311625i
\(514\) 290.587 + 503.311i 0.565344 + 0.979205i
\(515\) 204.977 + 193.386i 0.398013 + 0.375506i
\(516\) −206.205 103.657i −0.399621 0.200885i
\(517\) −1.37198 23.5559i −0.00265373 0.0455628i
\(518\) −23.4176 + 10.1014i −0.0452078 + 0.0195007i
\(519\) −636.432 + 367.125i −1.22627 + 0.707370i
\(520\) −3.32212 + 57.0386i −0.00638869 + 0.109690i
\(521\) 326.539 + 897.160i 0.626755 + 1.72200i 0.689815 + 0.723986i \(0.257692\pi\)
−0.0630594 + 0.998010i \(0.520086\pi\)
\(522\) 27.2924 154.105i 0.0522842 0.295220i
\(523\) 559.647 + 203.695i 1.07007 + 0.389474i 0.816203 0.577766i \(-0.196075\pi\)
0.253867 + 0.967239i \(0.418297\pi\)
\(524\) 358.437 + 154.615i 0.684041 + 0.295066i
\(525\) −11.2015 + 1.30500i −0.0213361 + 0.00248571i
\(526\) −75.8408 + 17.9746i −0.144184 + 0.0341722i
\(527\) 8.53546 + 36.0139i 0.0161963 + 0.0683377i
\(528\) −45.5453 19.6666i −0.0862600 0.0372474i
\(529\) −263.308 + 610.418i −0.497748 + 1.15391i
\(530\) −182.303 + 500.873i −0.343968 + 0.945044i
\(531\) 334.623 + 399.397i 0.630175 + 0.752161i
\(532\) 15.9092 5.79049i 0.0299046 0.0108844i
\(533\) 321.337 + 18.7157i 0.602883 + 0.0351140i
\(534\) −55.3969 + 95.8669i −0.103739 + 0.179526i
\(535\) −121.195 280.961i −0.226533 0.525161i
\(536\) −332.928 + 19.3908i −0.621134 + 0.0361770i
\(537\) −266.716 405.855i −0.496678 0.755781i
\(538\) 51.8630 54.9716i 0.0963996 0.102178i
\(539\) −169.953 + 98.1222i −0.315311 + 0.182045i
\(540\) 29.0954 + 251.386i 0.0538805 + 0.465529i
\(541\) −255.771 + 443.008i −0.472774 + 0.818869i −0.999515 0.0311570i \(-0.990081\pi\)
0.526740 + 0.850026i \(0.323414\pi\)
\(542\) −453.013 + 135.623i −0.835818 + 0.250227i
\(543\) −643.463 + 152.248i −1.18501 + 0.280383i
\(544\) −33.7786 + 22.2165i −0.0620930 + 0.0408392i
\(545\) −36.8228 + 315.040i −0.0675648 + 0.578054i
\(546\) 14.5518 17.3289i 0.0266517 0.0317380i
\(547\) 97.7676 49.1007i 0.178734 0.0897637i −0.357182 0.934035i \(-0.616263\pi\)
0.535916 + 0.844271i \(0.319966\pi\)
\(548\) 124.841 + 22.0129i 0.227812 + 0.0401694i
\(549\) −6.24753 + 20.8112i −0.0113798 + 0.0379075i
\(550\) 3.08431 + 17.4920i 0.00560784 + 0.0318036i
\(551\) 67.4753 50.2335i 0.122460 0.0911679i
\(552\) −83.9785 280.892i −0.152135 0.508862i
\(553\) 62.3735 + 66.1121i 0.112791 + 0.119552i
\(554\) −34.7507 10.4037i −0.0627269 0.0187792i
\(555\) 112.659 171.150i 0.202990 0.308379i
\(556\) −120.796 + 14.1190i −0.217259 + 0.0253940i
\(557\) −299.386 356.794i −0.537497 0.640564i 0.427127 0.904191i \(-0.359526\pi\)
−0.964625 + 0.263627i \(0.915081\pi\)
\(558\) 52.8997 39.3206i 0.0948022 0.0704670i
\(559\) −127.013 106.576i −0.227214 0.190655i
\(560\) 12.7458 19.3790i 0.0227603 0.0346054i
\(561\) 67.9244 56.9519i 0.121077 0.101519i
\(562\) −357.734 + 480.520i −0.636537 + 0.855018i
\(563\) −86.9450 + 173.122i −0.154432 + 0.307499i −0.957523 0.288357i \(-0.906891\pi\)
0.803091 + 0.595856i \(0.203187\pi\)
\(564\) −3.98841 + 34.0122i −0.00707165 + 0.0603052i
\(565\) 639.933 + 151.667i 1.13263 + 0.268437i
\(566\) 625.904i 1.10584i
\(567\) 50.2435 86.7229i 0.0886128 0.152950i
\(568\) −16.8656 −0.0296929
\(569\) −4.86139 + 20.5118i −0.00854375 + 0.0360489i −0.977150 0.212552i \(-0.931823\pi\)
0.968606 + 0.248601i \(0.0799707\pi\)
\(570\) −81.2680 + 109.076i −0.142575 + 0.191362i
\(571\) 118.940 + 59.7339i 0.208301 + 0.104613i 0.549891 0.835236i \(-0.314669\pi\)
−0.341590 + 0.939849i \(0.610965\pi\)
\(572\) −28.5879 21.2829i −0.0499788 0.0372078i
\(573\) 146.997 403.399i 0.256539 0.704012i
\(574\) −109.175 71.8056i −0.190201 0.125097i
\(575\) −67.4708 + 80.4086i −0.117341 + 0.139841i
\(576\) 60.1254 + 39.6099i 0.104384 + 0.0687671i
\(577\) 131.983 110.747i 0.228740 0.191936i −0.521213 0.853427i \(-0.674520\pi\)
0.749953 + 0.661491i \(0.230076\pi\)
\(578\) 39.0617 + 334.194i 0.0675808 + 0.578191i
\(579\) −920.344 + 461.781i −1.58954 + 0.797549i
\(580\) 33.0534 110.406i 0.0569886 0.190355i
\(581\) −97.7378 + 92.2109i −0.168223 + 0.158711i
\(582\) −115.586 109.132i −0.198602 0.187512i
\(583\) −198.549 266.698i −0.340565 0.457458i
\(584\) 266.820 47.0475i 0.456883 0.0805609i
\(585\) −21.2418 + 180.558i −0.0363108 + 0.308646i
\(586\) −31.7909 + 180.295i −0.0542507 + 0.307671i
\(587\) −7.14760 14.2320i −0.0121765 0.0242454i 0.887462 0.460881i \(-0.152466\pi\)
−0.899639 + 0.436635i \(0.856170\pi\)
\(588\) 267.674 97.3114i 0.455228 0.165496i
\(589\) 35.1887 + 4.11297i 0.0597431 + 0.00698297i
\(590\) 210.844 + 320.572i 0.357362 + 0.543343i
\(591\) 705.610 665.208i 1.19393 1.12556i
\(592\) −16.7198 55.8480i −0.0282429 0.0943379i
\(593\) −384.358 221.909i −0.648159 0.374215i 0.139592 0.990209i \(-0.455421\pi\)
−0.787750 + 0.615995i \(0.788754\pi\)
\(594\) −140.987 71.0055i −0.237352 0.119538i
\(595\) 20.7218 + 35.8913i 0.0348266 + 0.0603215i
\(596\) −269.088 253.871i −0.451490 0.425959i
\(597\) −54.0526 934.097i −0.0905404 1.56465i
\(598\) −12.2465 210.265i −0.0204791 0.351613i
\(599\) 664.686 286.718i 1.10966 0.478660i 0.239235 0.970962i \(-0.423104\pi\)
0.870425 + 0.492301i \(0.163844\pi\)
\(600\) 0.00968969 25.7781i 1.61495e−5 0.0429636i
\(601\) 61.4491 1055.04i 0.102245 1.75547i −0.424479 0.905438i \(-0.639543\pi\)
0.526724 0.850037i \(-0.323420\pi\)
\(602\) 23.0214 + 63.2509i 0.0382416 + 0.105068i
\(603\) −1061.17 0.797758i −1.75981 0.00132298i
\(604\) −267.250 97.2711i −0.442467 0.161045i
\(605\) −447.129 192.873i −0.739056 0.318798i
\(606\) −112.111 150.709i −0.185001 0.248695i
\(607\) −44.8358 + 10.6263i −0.0738645 + 0.0175062i −0.267382 0.963591i \(-0.586159\pi\)
0.193517 + 0.981097i \(0.438010\pi\)
\(608\) 8.92488 + 37.6570i 0.0146791 + 0.0619359i
\(609\) −36.6223 + 27.2429i −0.0601351 + 0.0447338i
\(610\) −6.33762 + 14.6923i −0.0103895 + 0.0240857i
\(611\) −8.41440 + 23.1184i −0.0137715 + 0.0378370i
\(612\) −111.460 + 64.2396i −0.182124 + 0.104967i
\(613\) −413.366 + 150.453i −0.674332 + 0.245437i −0.656412 0.754402i \(-0.727927\pi\)
−0.0179203 + 0.999839i \(0.505705\pi\)
\(614\) 723.342 + 42.1299i 1.17808 + 0.0686154i
\(615\) 1049.86 + 0.394628i 1.70708 + 0.000641672i
\(616\) 5.73074 + 13.2854i 0.00930315 + 0.0215671i
\(617\) 173.557 10.1086i 0.281292 0.0163834i 0.0830811 0.996543i \(-0.473524\pi\)
0.198211 + 0.980159i \(0.436487\pi\)
\(618\) 254.695 14.7383i 0.412129 0.0238483i
\(619\) 120.310 127.521i 0.194361 0.206011i −0.622863 0.782331i \(-0.714030\pi\)
0.817224 + 0.576320i \(0.195512\pi\)
\(620\) 42.0347 24.2688i 0.0677979 0.0391432i
\(621\) −214.114 907.979i −0.344789 1.46212i
\(622\) 336.746 583.261i 0.541392 0.937718i
\(623\) 30.9352 9.26138i 0.0496552 0.0148658i
\(624\) 35.4820 + 37.6371i 0.0568622 + 0.0603158i
\(625\) 451.014 296.637i 0.721622 0.474618i
\(626\) −47.5390 + 406.722i −0.0759409 + 0.649716i
\(627\) −28.9901 79.7429i −0.0462362 0.127182i
\(628\) −400.314 + 201.045i −0.637443 + 0.320136i
\(629\) 102.581 + 18.0877i 0.163085 + 0.0287563i
\(630\) 44.1181 59.1680i 0.0700288 0.0939175i
\(631\) −125.770 713.275i −0.199318 1.13039i −0.906134 0.422991i \(-0.860980\pi\)
0.706816 0.707398i \(-0.250131\pi\)
\(632\) −166.653 + 124.069i −0.263692 + 0.196311i
\(633\) −656.904 + 695.754i −1.03776 + 1.09914i
\(634\) −23.2504 24.6440i −0.0366726 0.0388706i
\(635\) −147.334 44.1089i −0.232022 0.0694628i
\(636\) 216.406 + 431.304i 0.340261 + 0.678151i
\(637\) 203.229 23.7541i 0.319041 0.0372906i
\(638\) 46.2100 + 55.0709i 0.0724294 + 0.0863180i
\(639\) −53.5727 3.16067i −0.0838384 0.00494627i
\(640\) 40.6158 + 34.0807i 0.0634622 + 0.0532511i
\(641\) −161.619 + 245.730i −0.252136 + 0.383354i −0.939271 0.343175i \(-0.888497\pi\)
0.687136 + 0.726529i \(0.258868\pi\)
\(642\) −260.272 94.8422i −0.405409 0.147729i
\(643\) 147.845 198.590i 0.229929 0.308849i −0.672153 0.740412i \(-0.734630\pi\)
0.902083 + 0.431563i \(0.142038\pi\)
\(644\) −38.3743 + 76.4096i −0.0595875 + 0.118648i
\(645\) −433.657 323.099i −0.672337 0.500929i
\(646\) −67.2841 15.9466i −0.104155 0.0246852i
\(647\) 69.0494i 0.106722i 0.998575 + 0.0533612i \(0.0169935\pi\)
−0.998575 + 0.0533612i \(0.983007\pi\)
\(648\) 183.563 + 137.087i 0.283276 + 0.211554i
\(649\) −239.344 −0.368789
\(650\) 4.27083 18.0201i 0.00657051 0.0277232i
\(651\) −19.0925 2.23887i −0.0293279 0.00343912i
\(652\) −109.141 54.8127i −0.167394 0.0840686i
\(653\) −57.2245 42.6021i −0.0876332 0.0652405i 0.552450 0.833546i \(-0.313693\pi\)
−0.640084 + 0.768305i \(0.721100\pi\)
\(654\) 184.495 + 220.040i 0.282102 + 0.336453i
\(655\) 764.214 + 502.631i 1.16674 + 0.767376i
\(656\) 192.000 228.816i 0.292682 0.348805i
\(657\) 856.359 99.4415i 1.30344 0.151357i
\(658\) 7.65091 6.41988i 0.0116275 0.00975665i
\(659\) 70.6538 + 604.482i 0.107214 + 0.917272i 0.934615 + 0.355661i \(0.115744\pi\)
−0.827401 + 0.561611i \(0.810182\pi\)
\(660\) −97.0974 63.9143i −0.147117 0.0968398i
\(661\) 41.8815 139.894i 0.0633608 0.211640i −0.920447 0.390868i \(-0.872175\pi\)
0.983808 + 0.179228i \(0.0573601\pi\)
\(662\) 439.230 414.392i 0.663490 0.625970i
\(663\) −88.5483 + 26.4734i −0.133557 + 0.0399297i
\(664\) −183.419 246.374i −0.276233 0.371046i
\(665\) 39.0680 6.88875i 0.0587489 0.0103590i
\(666\) −42.6436 180.532i −0.0640295 0.271069i
\(667\) −73.7733 + 418.389i −0.110605 + 0.627270i
\(668\) 252.117 + 502.006i 0.377421 + 0.751506i
\(669\) −62.5720 52.5442i −0.0935307 0.0785415i
\(670\) −776.149 90.7188i −1.15843 0.135401i
\(671\) −5.48472 8.33912i −0.00817396 0.0124279i
\(672\) −4.83495 20.4345i −0.00719486 0.0304084i
\(673\) −264.958 885.022i −0.393697 1.31504i −0.893563 0.448937i \(-0.851803\pi\)
0.499866 0.866103i \(-0.333383\pi\)
\(674\) 631.487 + 364.589i 0.936925 + 0.540934i
\(675\) 4.86170 81.8813i 0.00720252 0.121306i
\(676\) −150.420 260.535i −0.222515 0.385407i
\(677\) −349.320 329.566i −0.515982 0.486804i 0.383635 0.923485i \(-0.374672\pi\)
−0.899616 + 0.436681i \(0.856154\pi\)
\(678\) 497.565 326.986i 0.733871 0.482280i
\(679\) 2.69571 + 46.2836i 0.00397012 + 0.0681644i
\(680\) −86.9866 + 37.5224i −0.127921 + 0.0551799i
\(681\) −408.212 235.886i −0.599430 0.346381i
\(682\) −1.76046 + 30.2258i −0.00258131 + 0.0443194i
\(683\) 312.351 + 858.177i 0.457322 + 1.25648i 0.927471 + 0.373895i \(0.121978\pi\)
−0.470149 + 0.882587i \(0.655800\pi\)
\(684\) 21.2924 + 121.288i 0.0311293 + 0.177322i
\(685\) 279.125 + 101.593i 0.407481 + 0.148311i
\(686\) −155.004 66.8622i −0.225953 0.0974668i
\(687\) 33.5655 77.7333i 0.0488581 0.113149i
\(688\) −149.714 + 35.4829i −0.217608 + 0.0515740i
\(689\) 79.9472 + 337.324i 0.116034 + 0.489585i
\(690\) −79.4955 682.352i −0.115211 0.988915i
\(691\) −478.886 + 1110.18i −0.693034 + 1.60663i 0.0982347 + 0.995163i \(0.468680\pi\)
−0.791268 + 0.611469i \(0.790579\pi\)
\(692\) −167.528 + 460.280i −0.242093 + 0.665144i
\(693\) 15.7137 + 43.2743i 0.0226749 + 0.0624449i
\(694\) −156.457 + 56.9455i −0.225442 + 0.0820541i
\(695\) −284.492 16.5698i −0.409341 0.0238414i
\(696\) −52.1338 90.3768i −0.0749048 0.129852i
\(697\) 211.389 + 490.054i 0.303284 + 0.703091i
\(698\) −506.768 + 29.5159i −0.726028 + 0.0422863i
\(699\) −20.7871 + 41.3518i −0.0297384 + 0.0591586i
\(700\) −5.15927 + 5.46850i −0.00737038 + 0.00781215i
\(701\) 646.040 372.991i 0.921598 0.532085i 0.0374535 0.999298i \(-0.488075\pi\)
0.884145 + 0.467214i \(0.154742\pi\)
\(702\) 105.654 + 126.202i 0.150504 + 0.179775i
\(703\) 49.8535 86.3487i 0.0709153 0.122829i
\(704\) −31.6839 + 9.48553i −0.0450055 + 0.0134738i
\(705\) −23.0428 + 76.8631i −0.0326848 + 0.109026i
\(706\) 383.803 252.431i 0.543631 0.357552i
\(707\) −6.35979 + 54.4115i −0.00899546 + 0.0769610i
\(708\) 342.065 + 60.4479i 0.483143 + 0.0853784i
\(709\) 455.699 228.861i 0.642735 0.322793i −0.0974069 0.995245i \(-0.531055\pi\)
0.740141 + 0.672451i \(0.234759\pi\)
\(710\) −38.9187 6.86242i −0.0548151 0.00966538i
\(711\) −552.618 + 362.867i −0.777240 + 0.510362i
\(712\) 12.8177 + 72.6930i 0.0180024 + 0.102097i
\(713\) −143.521 + 106.848i −0.201292 + 0.149856i
\(714\) 36.5050 + 8.66634i 0.0511275 + 0.0121377i
\(715\) −57.3091 60.7441i −0.0801526 0.0849568i
\(716\) −310.165 92.8573i −0.433191 0.129689i
\(717\) −83.3099 4.88367i −0.116192 0.00681126i
\(718\) 731.809 85.5362i 1.01923 0.119131i
\(719\) −563.023 670.985i −0.783064 0.933220i 0.216003 0.976393i \(-0.430698\pi\)
−0.999068 + 0.0431728i \(0.986253\pi\)
\(720\) 122.628 + 115.867i 0.170316 + 0.160927i
\(721\) −56.9981 47.8271i −0.0790542 0.0663344i
\(722\) 244.170 371.242i 0.338185 0.514185i
\(723\) 167.956 + 954.624i 0.232304 + 1.32037i
\(724\) −263.239 + 353.591i −0.363590 + 0.488386i
\(725\) −16.7650 + 33.3818i −0.0231241 + 0.0460439i
\(726\) −404.859 + 174.459i −0.557657 + 0.240301i
\(727\) 1163.05 + 275.648i 1.59980 + 0.379159i 0.931212 0.364477i \(-0.118752\pi\)
0.668585 + 0.743636i \(0.266900\pi\)
\(728\) 15.0856i 0.0207220i
\(729\) 557.388 + 469.850i 0.764593 + 0.644514i
\(730\) 634.852 0.869661
\(731\) 63.3995 267.503i 0.0867298 0.365942i
\(732\) 5.73255 + 13.3033i 0.00783135 + 0.0181739i
\(733\) −17.7060 8.89231i −0.0241556 0.0121314i 0.436680 0.899617i \(-0.356154\pi\)
−0.460836 + 0.887485i \(0.652450\pi\)
\(734\) 365.217 + 271.894i 0.497571 + 0.370428i
\(735\) 657.275 115.641i 0.894252 0.157334i
\(736\) −163.297 107.402i −0.221871 0.145927i
\(737\) 313.325 373.407i 0.425136 0.506658i
\(738\) 652.759 690.843i 0.884498 0.936102i
\(739\) −180.410 + 151.382i −0.244128 + 0.204847i −0.756639 0.653833i \(-0.773160\pi\)
0.512511 + 0.858681i \(0.328715\pi\)
\(740\) −15.8584 135.677i −0.0214303 0.183348i
\(741\) −5.17711 + 88.3156i −0.00698665 + 0.119184i
\(742\) 40.3632 134.823i 0.0543979 0.181702i
\(743\) 592.355 558.858i 0.797247 0.752164i −0.175388 0.984499i \(-0.556118\pi\)
0.972636 + 0.232335i \(0.0746366\pi\)
\(744\) 10.1497 42.7535i 0.0136421 0.0574644i
\(745\) −517.646 695.319i −0.694826 0.933314i
\(746\) 251.630 44.3692i 0.337306 0.0594761i
\(747\) −536.451 816.971i −0.718140 1.09367i
\(748\) 10.2616 58.1963i 0.0137187 0.0778025i
\(749\) 36.2588 + 72.1972i 0.0484096 + 0.0963914i
\(750\) 97.0095 548.961i 0.129346 0.731948i
\(751\) 852.119 + 99.5984i 1.13465 + 0.132621i 0.662614 0.748961i \(-0.269447\pi\)
0.472031 + 0.881582i \(0.343521\pi\)
\(752\) 12.5454 + 19.0743i 0.0166827 + 0.0253648i
\(753\) 182.405 + 54.6831i 0.242237 + 0.0726204i
\(754\) −21.4975 71.8066i −0.0285113 0.0952343i
\(755\) −577.123 333.202i −0.764402 0.441328i
\(756\) −11.5285 65.8153i −0.0152493 0.0870573i
\(757\) 380.990 + 659.894i 0.503289 + 0.871722i 0.999993 + 0.00380205i \(0.00121023\pi\)
−0.496704 + 0.867920i \(0.665456\pi\)
\(758\) −338.409 319.272i −0.446449 0.421203i
\(759\) 382.868 + 192.464i 0.504437 + 0.253575i
\(760\) 5.27267 + 90.5282i 0.00693772 + 0.119116i
\(761\) 699.551 301.757i 0.919253 0.396527i 0.116741 0.993162i \(-0.462755\pi\)
0.802512 + 0.596635i \(0.203496\pi\)
\(762\) −120.605 + 69.5712i −0.158275 + 0.0913007i
\(763\) 4.86948 83.6057i 0.00638201 0.109575i
\(764\) −97.8968 268.969i −0.128137 0.352054i
\(765\) −283.341 + 102.887i −0.370381 + 0.134492i
\(766\) −796.187 289.788i −1.03941 0.378314i
\(767\) 229.141 + 98.8418i 0.298750 + 0.128868i
\(768\) 47.6775 5.55454i 0.0620801 0.00723247i
\(769\) −13.7031 + 3.24770i −0.0178194 + 0.00422327i −0.239516 0.970892i \(-0.576989\pi\)
0.221697 + 0.975116i \(0.428841\pi\)
\(770\) 7.81850 + 32.9888i 0.0101539 + 0.0428427i
\(771\) 1131.84