Properties

Label 177.4.e.b.4.8
Level $177$
Weight $4$
Character 177.4
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.8
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.b.133.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.253308 + 0.0275489i) q^{2} +(1.94216 - 2.28649i) q^{3} +(-7.74956 - 1.70581i) q^{4} +(7.78313 + 5.91658i) q^{5} +(0.554954 - 0.525681i) q^{6} +(-0.440801 + 1.10633i) q^{7} +(-3.84774 - 1.29645i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(0.253308 + 0.0275489i) q^{2} +(1.94216 - 2.28649i) q^{3} +(-7.74956 - 1.70581i) q^{4} +(7.78313 + 5.91658i) q^{5} +(0.554954 - 0.525681i) q^{6} +(-0.440801 + 1.10633i) q^{7} +(-3.84774 - 1.29645i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(1.80853 + 1.71313i) q^{10} +(39.4402 - 18.2470i) q^{11} +(-18.9512 + 14.4063i) q^{12} +(11.3974 - 69.5213i) q^{13} +(-0.142136 + 0.268098i) q^{14} +(28.6443 - 6.30508i) q^{15} +(56.6745 + 26.2204i) q^{16} +(37.7436 + 94.7292i) q^{17} +(-0.124152 - 2.28985i) q^{18} +(-70.9646 - 104.665i) q^{19} +(-50.2233 - 59.1274i) q^{20} +(1.67350 + 3.15655i) q^{21} +(10.4932 - 3.53557i) q^{22} +(10.8706 - 200.497i) q^{23} +(-10.4372 + 6.27988i) q^{24} +(-7.86984 - 28.3446i) q^{25} +(4.80229 - 17.2963i) q^{26} +(-23.1351 - 13.9200i) q^{27} +(5.30319 - 7.82163i) q^{28} +(149.707 - 16.2817i) q^{29} +(7.42952 - 0.808009i) q^{30} +(-32.1492 + 47.4166i) q^{31} +(41.4664 + 24.9495i) q^{32} +(34.8777 - 125.618i) q^{33} +(6.95106 + 25.0354i) q^{34} +(-9.97649 + 6.00266i) q^{35} +(-3.86637 + 71.3109i) q^{36} +(-80.7959 + 27.2233i) q^{37} +(-15.0925 - 28.4674i) q^{38} +(-136.824 - 161.081i) q^{39} +(-22.2769 - 32.8559i) q^{40} +(-7.42076 - 136.868i) q^{41} +(0.336950 + 0.845682i) q^{42} +(438.803 + 203.012i) q^{43} +(-336.770 + 74.1287i) q^{44} +(41.2152 - 77.7402i) q^{45} +(8.27710 - 50.4881i) q^{46} +(-228.521 + 173.717i) q^{47} +(170.023 - 78.6612i) q^{48} +(247.987 + 234.906i) q^{49} +(-1.21263 - 7.39672i) q^{50} +(289.901 + 97.6790i) q^{51} +(-206.915 + 519.317i) q^{52} +(204.123 - 193.355i) q^{53} +(-5.47683 - 4.16338i) q^{54} +(414.928 + 91.3327i) q^{55} +(3.13039 - 3.68538i) q^{56} +(-377.139 - 41.0164i) q^{57} +38.3706 q^{58} +(-452.154 - 30.5868i) q^{59} -232.736 q^{60} +(168.311 + 18.3049i) q^{61} +(-9.44993 + 11.1253i) q^{62} +(10.4676 + 2.30409i) q^{63} +(-387.886 - 294.864i) q^{64} +(500.036 - 473.659i) q^{65} +(12.2954 - 30.8592i) q^{66} +(427.758 + 144.128i) q^{67} +(-130.906 - 798.493i) q^{68} +(-437.322 - 414.253i) q^{69} +(-2.69249 + 1.24568i) q^{70} +(-63.7701 + 48.4767i) q^{71} +(-5.91192 + 36.0611i) q^{72} +(-576.707 + 1087.78i) q^{73} +(-21.2162 + 4.67004i) q^{74} +(-80.0941 - 37.0555i) q^{75} +(371.406 + 932.159i) q^{76} +(2.80185 + 51.6771i) q^{77} +(-30.2209 - 44.5725i) q^{78} +(-25.4045 - 29.9085i) q^{79} +(285.970 + 539.396i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(1.89082 - 34.8741i) q^{82} +(-959.040 + 577.035i) q^{83} +(-7.58440 - 27.3165i) q^{84} +(-266.710 + 960.603i) q^{85} +(105.560 + 63.5131i) q^{86} +(253.528 - 373.925i) q^{87} +(-175.412 + 19.0772i) q^{88} +(-442.159 + 48.0877i) q^{89} +(12.5818 - 18.5568i) q^{90} +(71.8893 + 43.2543i) q^{91} +(-426.252 + 1535.22i) q^{92} +(45.9784 + 165.599i) q^{93} +(-62.6720 + 37.7085i) q^{94} +(66.9320 - 1234.49i) q^{95} +(137.581 - 46.3565i) q^{96} +(-550.328 - 1038.03i) q^{97} +(56.3456 + 66.3352i) q^{98} +(-219.486 - 323.718i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} + O(q^{10}) \) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} - 754q^{10} + 64q^{11} - 168q^{12} + 90q^{13} + 1024q^{14} - 42q^{15} - 172q^{16} + 96q^{17} + 18q^{18} + 16q^{19} - 178q^{20} - 243q^{21} - 604q^{22} + 48q^{23} + 198q^{24} - 173q^{25} + 156q^{26} - 405q^{27} + 84q^{28} - 50q^{29} + 174q^{30} + 222q^{31} - 45q^{32} + 192q^{33} - 64q^{34} - 132q^{35} - 504q^{36} + 30q^{37} - 108q^{38} + 270q^{39} + 6984q^{40} + 400q^{41} + 114q^{42} + 1220q^{43} + 1180q^{44} - 126q^{45} + 4938q^{46} + 370q^{47} - 516q^{48} + 771q^{49} + 1048q^{50} + 288q^{51} - 1964q^{52} - 822q^{53} + 54q^{54} - 2342q^{55} - 13824q^{56} + 48q^{57} - 13150q^{58} - 3423q^{59} - 534q^{60} - 2182q^{61} + 845q^{62} + 54q^{63} - 8018q^{64} + 4140q^{65} - 1812q^{66} + 506q^{67} + 4826q^{68} - 3684q^{69} + 6882q^{70} + 5874q^{71} + 594q^{72} + 206q^{73} + 11124q^{74} - 867q^{75} + 16940q^{76} + 9940q^{77} + 468q^{78} - 1762q^{79} - 28954q^{80} - 1215q^{81} + 3770q^{82} - 1216q^{83} - 8013q^{84} - 420q^{85} - 2256q^{86} + 5940q^{87} + 13458q^{88} - 1580q^{89} + 522q^{90} - 12204q^{91} + 4562q^{92} + 666q^{93} + 176q^{94} - 28456q^{95} + 2040q^{96} + 2574q^{97} + 50690q^{98} + 576q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.253308 + 0.0275489i 0.0895579 + 0.00974000i 0.152788 0.988259i \(-0.451175\pi\)
−0.0632304 + 0.997999i \(0.520140\pi\)
\(3\) 1.94216 2.28649i 0.373769 0.440034i
\(4\) −7.74956 1.70581i −0.968695 0.213226i
\(5\) 7.78313 + 5.91658i 0.696145 + 0.529195i 0.892337 0.451370i \(-0.149065\pi\)
−0.196192 + 0.980565i \(0.562858\pi\)
\(6\) 0.554954 0.525681i 0.0377599 0.0357680i
\(7\) −0.440801 + 1.10633i −0.0238010 + 0.0597361i −0.940397 0.340079i \(-0.889546\pi\)
0.916596 + 0.399815i \(0.130926\pi\)
\(8\) −3.84774 1.29645i −0.170048 0.0572957i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) 1.80853 + 1.71313i 0.0571909 + 0.0541741i
\(11\) 39.4402 18.2470i 1.08106 0.500152i 0.203234 0.979130i \(-0.434855\pi\)
0.877827 + 0.478978i \(0.158993\pi\)
\(12\) −18.9512 + 14.4063i −0.455894 + 0.346562i
\(13\) 11.3974 69.5213i 0.243160 1.48321i −0.529457 0.848337i \(-0.677604\pi\)
0.772617 0.634873i \(-0.218948\pi\)
\(14\) −0.142136 + 0.268098i −0.00271340 + 0.00511801i
\(15\) 28.6443 6.30508i 0.493061 0.108531i
\(16\) 56.6745 + 26.2204i 0.885539 + 0.409694i
\(17\) 37.7436 + 94.7292i 0.538480 + 1.35148i 0.906713 + 0.421749i \(0.138584\pi\)
−0.368233 + 0.929734i \(0.620037\pi\)
\(18\) −0.124152 2.28985i −0.00162572 0.0299846i
\(19\) −70.9646 104.665i −0.856863 1.26378i −0.963020 0.269429i \(-0.913165\pi\)
0.106158 0.994349i \(-0.466145\pi\)
\(20\) −50.2233 59.1274i −0.561514 0.661065i
\(21\) 1.67350 + 3.15655i 0.0173898 + 0.0328007i
\(22\) 10.4932 3.53557i 0.101689 0.0342630i
\(23\) 10.8706 200.497i 0.0985516 1.81768i −0.364344 0.931264i \(-0.618707\pi\)
0.462896 0.886413i \(-0.346810\pi\)
\(24\) −10.4372 + 6.27988i −0.0887706 + 0.0534115i
\(25\) −7.86984 28.3446i −0.0629588 0.226757i
\(26\) 4.80229 17.2963i 0.0362234 0.130465i
\(27\) −23.1351 13.9200i −0.164902 0.0992184i
\(28\) 5.30319 7.82163i 0.0357932 0.0527910i
\(29\) 149.707 16.2817i 0.958619 0.104256i 0.384587 0.923089i \(-0.374344\pi\)
0.574032 + 0.818833i \(0.305378\pi\)
\(30\) 7.42952 0.808009i 0.0452146 0.00491738i
\(31\) −32.1492 + 47.4166i −0.186264 + 0.274718i −0.909344 0.416046i \(-0.863415\pi\)
0.723080 + 0.690764i \(0.242726\pi\)
\(32\) 41.4664 + 24.9495i 0.229072 + 0.137828i
\(33\) 34.8777 125.618i 0.183983 0.662646i
\(34\) 6.95106 + 25.0354i 0.0350617 + 0.126281i
\(35\) −9.97649 + 6.00266i −0.0481810 + 0.0289895i
\(36\) −3.86637 + 71.3109i −0.0178998 + 0.330143i
\(37\) −80.7959 + 27.2233i −0.358994 + 0.120959i −0.493018 0.870019i \(-0.664106\pi\)
0.134025 + 0.990978i \(0.457210\pi\)
\(38\) −15.0925 28.4674i −0.0644296 0.121527i
\(39\) −136.824 161.081i −0.561778 0.661376i
\(40\) −22.2769 32.8559i −0.0880571 0.129875i
\(41\) −7.42076 136.868i −0.0282665 0.521345i −0.978041 0.208411i \(-0.933171\pi\)
0.949775 0.312934i \(-0.101312\pi\)
\(42\) 0.336950 + 0.845682i 0.00123792 + 0.00310694i
\(43\) 438.803 + 203.012i 1.55621 + 0.719978i 0.994239 0.107181i \(-0.0341825\pi\)
0.561968 + 0.827159i \(0.310045\pi\)
\(44\) −336.770 + 74.1287i −1.15386 + 0.253985i
\(45\) 41.2152 77.7402i 0.136533 0.257529i
\(46\) 8.27710 50.4881i 0.0265303 0.161827i
\(47\) −228.521 + 173.717i −0.709218 + 0.539134i −0.896430 0.443186i \(-0.853848\pi\)
0.187212 + 0.982320i \(0.440055\pi\)
\(48\) 170.023 78.6612i 0.511266 0.236537i
\(49\) 247.987 + 234.906i 0.722994 + 0.684856i
\(50\) −1.21263 7.39672i −0.00342984 0.0209211i
\(51\) 289.901 + 97.6790i 0.795966 + 0.268192i
\(52\) −206.915 + 519.317i −0.551806 + 1.38493i
\(53\) 204.123 193.355i 0.529027 0.501121i −0.375916 0.926654i \(-0.622672\pi\)
0.904943 + 0.425533i \(0.139913\pi\)
\(54\) −5.47683 4.16338i −0.0138019 0.0104919i
\(55\) 414.928 + 91.3327i 1.01725 + 0.223914i
\(56\) 3.13039 3.68538i 0.00746993 0.00879428i
\(57\) −377.139 41.0164i −0.876374 0.0953114i
\(58\) 38.3706 0.0868673
\(59\) −452.154 30.5868i −0.997720 0.0674927i
\(60\) −232.736 −0.500767
\(61\) 168.311 + 18.3049i 0.353279 + 0.0384214i 0.283038 0.959109i \(-0.408658\pi\)
0.0702407 + 0.997530i \(0.477623\pi\)
\(62\) −9.44993 + 11.1253i −0.0193571 + 0.0227890i
\(63\) 10.4676 + 2.30409i 0.0209332 + 0.00460775i
\(64\) −387.886 294.864i −0.757591 0.575906i
\(65\) 500.036 473.659i 0.954182 0.903850i
\(66\) 12.2954 30.8592i 0.0229313 0.0575531i
\(67\) 427.758 + 144.128i 0.779985 + 0.262807i 0.681002 0.732282i \(-0.261545\pi\)
0.0989828 + 0.995089i \(0.468441\pi\)
\(68\) −130.906 798.493i −0.233452 1.42399i
\(69\) −437.322 414.253i −0.763005 0.722757i
\(70\) −2.69249 + 1.24568i −0.00459735 + 0.00212696i
\(71\) −63.7701 + 48.4767i −0.106593 + 0.0810300i −0.657113 0.753792i \(-0.728223\pi\)
0.550520 + 0.834822i \(0.314430\pi\)
\(72\) −5.91192 + 36.0611i −0.00967676 + 0.0590256i
\(73\) −576.707 + 1087.78i −0.924636 + 1.74405i −0.320305 + 0.947314i \(0.603785\pi\)
−0.604331 + 0.796734i \(0.706559\pi\)
\(74\) −21.2162 + 4.67004i −0.0333289 + 0.00733624i
\(75\) −80.0941 37.0555i −0.123313 0.0570506i
\(76\) 371.406 + 932.159i 0.560568 + 1.40692i
\(77\) 2.80185 + 51.6771i 0.00414676 + 0.0764825i
\(78\) −30.2209 44.5725i −0.0438698 0.0647031i
\(79\) −25.4045 29.9085i −0.0361801 0.0425945i 0.743774 0.668431i \(-0.233034\pi\)
−0.779955 + 0.625836i \(0.784758\pi\)
\(80\) 285.970 + 539.396i 0.399655 + 0.753829i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) 1.89082 34.8741i 0.00254642 0.0469659i
\(83\) −959.040 + 577.035i −1.26829 + 0.763107i −0.980864 0.194695i \(-0.937628\pi\)
−0.287429 + 0.957802i \(0.592801\pi\)
\(84\) −7.58440 27.3165i −0.00985149 0.0354819i
\(85\) −266.710 + 960.603i −0.340339 + 1.22579i
\(86\) 105.560 + 63.5131i 0.132358 + 0.0796372i
\(87\) 253.528 373.925i 0.312425 0.460793i
\(88\) −175.412 + 19.0772i −0.212489 + 0.0231095i
\(89\) −442.159 + 48.0877i −0.526615 + 0.0572729i −0.367565 0.929998i \(-0.619809\pi\)
−0.159050 + 0.987271i \(0.550843\pi\)
\(90\) 12.5818 18.5568i 0.0147360 0.0217339i
\(91\) 71.8893 + 43.2543i 0.0828137 + 0.0498273i
\(92\) −426.252 + 1535.22i −0.483042 + 1.73976i
\(93\) 45.9784 + 165.599i 0.0512660 + 0.184644i
\(94\) −62.6720 + 37.7085i −0.0687672 + 0.0413759i
\(95\) 66.9320 1234.49i 0.0722851 1.33322i
\(96\) 137.581 46.3565i 0.146269 0.0492837i
\(97\) −550.328 1038.03i −0.576055 1.08655i −0.984765 0.173890i \(-0.944366\pi\)
0.408710 0.912664i \(-0.365979\pi\)
\(98\) 56.3456 + 66.3352i 0.0580793 + 0.0683762i
\(99\) −219.486 323.718i −0.222820 0.328635i
\(100\) 12.6374 + 233.083i 0.0126374 + 0.233083i
\(101\) 193.987 + 486.869i 0.191113 + 0.479657i 0.993042 0.117763i \(-0.0375722\pi\)
−0.801929 + 0.597419i \(0.796193\pi\)
\(102\) 70.7433 + 32.7293i 0.0686728 + 0.0317714i
\(103\) −875.009 + 192.604i −0.837060 + 0.184251i −0.612760 0.790269i \(-0.709941\pi\)
−0.224300 + 0.974520i \(0.572010\pi\)
\(104\) −133.985 + 252.723i −0.126330 + 0.238284i
\(105\) −5.65094 + 34.4692i −0.00525215 + 0.0320367i
\(106\) 57.0327 43.3551i 0.0522594 0.0397266i
\(107\) 1123.60 519.835i 1.01517 0.469666i 0.159503 0.987197i \(-0.449011\pi\)
0.855664 + 0.517531i \(0.173149\pi\)
\(108\) 155.542 + 147.338i 0.138584 + 0.131274i
\(109\) 336.225 + 2050.88i 0.295455 + 1.80219i 0.550035 + 0.835141i \(0.314614\pi\)
−0.254581 + 0.967051i \(0.581938\pi\)
\(110\) 102.589 + 34.5661i 0.0889221 + 0.0299613i
\(111\) −94.6728 + 237.611i −0.0809544 + 0.203180i
\(112\) −53.9905 + 51.1426i −0.0455502 + 0.0431475i
\(113\) 1868.51 + 1420.40i 1.55553 + 1.18248i 0.906878 + 0.421394i \(0.138459\pi\)
0.648650 + 0.761087i \(0.275334\pi\)
\(114\) −94.4024 20.7795i −0.0775579 0.0170718i
\(115\) 1270.87 1496.18i 1.03051 1.21321i
\(116\) −1187.94 129.196i −0.950839 0.103410i
\(117\) −634.044 −0.501003
\(118\) −113.692 20.2042i −0.0886963 0.0157623i
\(119\) −121.439 −0.0935486
\(120\) −118.390 12.8757i −0.0900623 0.00979486i
\(121\) 360.908 424.894i 0.271155 0.319229i
\(122\) 42.1302 + 9.27356i 0.0312647 + 0.00688187i
\(123\) −327.359 248.852i −0.239975 0.182424i
\(124\) 330.026 312.617i 0.239010 0.226402i
\(125\) 558.791 1402.46i 0.399838 1.00352i
\(126\) 2.58805 + 0.872016i 0.00182986 + 0.000616550i
\(127\) −309.679 1888.96i −0.216374 1.31982i −0.841905 0.539625i \(-0.818566\pi\)
0.625531 0.780199i \(-0.284882\pi\)
\(128\) −371.200 351.619i −0.256326 0.242805i
\(129\) 1316.41 609.036i 0.898477 0.415680i
\(130\) 139.712 106.206i 0.0942580 0.0716531i
\(131\) 275.233 1678.85i 0.183567 1.11971i −0.720861 0.693080i \(-0.756253\pi\)
0.904428 0.426627i \(-0.140298\pi\)
\(132\) −484.567 + 913.990i −0.319516 + 0.602671i
\(133\) 147.075 32.3736i 0.0958873 0.0211064i
\(134\) 104.384 + 48.2931i 0.0672940 + 0.0311335i
\(135\) −97.7053 245.222i −0.0622899 0.156336i
\(136\) −22.4153 413.426i −0.0141331 0.260669i
\(137\) −998.174 1472.20i −0.622480 0.918090i 0.377488 0.926014i \(-0.376788\pi\)
−0.999969 + 0.00792478i \(0.997477\pi\)
\(138\) −99.3648 116.981i −0.0612934 0.0721602i
\(139\) 631.001 + 1190.19i 0.385042 + 0.726266i 0.997957 0.0638827i \(-0.0203483\pi\)
−0.612916 + 0.790148i \(0.710004\pi\)
\(140\) 87.5528 29.5000i 0.0528540 0.0178086i
\(141\) −46.6223 + 859.897i −0.0278461 + 0.513592i
\(142\) −17.4889 + 10.5227i −0.0103355 + 0.00621866i
\(143\) −819.037 2949.90i −0.478960 1.72506i
\(144\) 150.355 541.529i 0.0870109 0.313385i
\(145\) 1261.52 + 759.034i 0.722509 + 0.434719i
\(146\) −176.052 + 259.657i −0.0997954 + 0.147187i
\(147\) 1018.74 110.794i 0.571593 0.0621644i
\(148\) 672.570 73.1464i 0.373547 0.0406257i
\(149\) −233.265 + 344.040i −0.128254 + 0.189160i −0.886394 0.462931i \(-0.846798\pi\)
0.758141 + 0.652091i \(0.226108\pi\)
\(150\) −19.2676 11.5929i −0.0104880 0.00631040i
\(151\) 418.031 1505.61i 0.225291 0.811424i −0.761326 0.648369i \(-0.775451\pi\)
0.986617 0.163055i \(-0.0521347\pi\)
\(152\) 137.360 + 494.726i 0.0732984 + 0.263997i
\(153\) 786.376 473.146i 0.415521 0.250011i
\(154\) −0.713916 + 13.1674i −0.000373565 + 0.00689000i
\(155\) −530.766 + 178.836i −0.275046 + 0.0926738i
\(156\) 785.550 + 1481.70i 0.403169 + 0.760457i
\(157\) −686.271 807.940i −0.348856 0.410705i 0.559549 0.828798i \(-0.310975\pi\)
−0.908404 + 0.418093i \(0.862699\pi\)
\(158\) −5.61121 8.27592i −0.00282534 0.00416707i
\(159\) −45.6655 842.251i −0.0227768 0.420093i
\(160\) 175.123 + 439.525i 0.0865292 + 0.217172i
\(161\) 217.024 + 100.406i 0.106235 + 0.0491497i
\(162\) −20.1564 + 4.43676i −0.00977553 + 0.00215176i
\(163\) −898.422 + 1694.60i −0.431717 + 0.814305i −0.999963 0.00855376i \(-0.997277\pi\)
0.568246 + 0.822858i \(0.307622\pi\)
\(164\) −175.962 + 1073.32i −0.0837827 + 0.511052i
\(165\) 1014.69 771.346i 0.478748 0.363934i
\(166\) −258.829 + 119.747i −0.121018 + 0.0559890i
\(167\) 893.335 + 846.212i 0.413942 + 0.392107i 0.866132 0.499815i \(-0.166599\pi\)
−0.452190 + 0.891921i \(0.649357\pi\)
\(168\) −2.34686 14.3152i −0.00107776 0.00657405i
\(169\) −2621.31 883.222i −1.19313 0.402013i
\(170\) −94.0233 + 235.981i −0.0424192 + 0.106464i
\(171\) −826.248 + 782.664i −0.369502 + 0.350010i
\(172\) −3054.23 2321.77i −1.35397 1.02926i
\(173\) −1709.20 376.223i −0.751144 0.165339i −0.177133 0.984187i \(-0.556682\pi\)
−0.574011 + 0.818848i \(0.694613\pi\)
\(174\) 74.5218 87.7338i 0.0324683 0.0382246i
\(175\) 34.8275 + 3.78771i 0.0150440 + 0.00163614i
\(176\) 2713.70 1.16223
\(177\) −948.092 + 974.440i −0.402615 + 0.413804i
\(178\) −113.327 −0.0477204
\(179\) 826.648 + 89.9033i 0.345176 + 0.0375402i 0.279065 0.960272i \(-0.409975\pi\)
0.0661109 + 0.997812i \(0.478941\pi\)
\(180\) −452.010 + 532.147i −0.187171 + 0.220355i
\(181\) 4228.17 + 930.691i 1.73634 + 0.382197i 0.966626 0.256191i \(-0.0824675\pi\)
0.769714 + 0.638388i \(0.220399\pi\)
\(182\) 17.0185 + 12.9371i 0.00693130 + 0.00526903i
\(183\) 368.740 349.290i 0.148951 0.141094i
\(184\) −301.763 + 757.368i −0.120904 + 0.303445i
\(185\) −789.915 266.153i −0.313923 0.105773i
\(186\) 7.08462 + 43.2143i 0.00279285 + 0.0170356i
\(187\) 3217.14 + 3047.44i 1.25808 + 1.19171i
\(188\) 2067.27 956.420i 0.801973 0.371032i
\(189\) 25.5980 19.4591i 0.00985176 0.00748911i
\(190\) 50.9632 310.862i 0.0194593 0.118696i
\(191\) −1321.31 + 2492.26i −0.500559 + 0.944154i 0.496538 + 0.868015i \(0.334604\pi\)
−0.997097 + 0.0761393i \(0.975741\pi\)
\(192\) −1427.54 + 314.225i −0.536582 + 0.118111i
\(193\) −3181.38 1471.86i −1.18653 0.548948i −0.275507 0.961299i \(-0.588846\pi\)
−0.911025 + 0.412351i \(0.864708\pi\)
\(194\) −110.806 278.102i −0.0410072 0.102920i
\(195\) −111.866 2063.25i −0.0410815 0.757704i
\(196\) −1521.08 2243.43i −0.554331 0.817577i
\(197\) 872.396 + 1027.06i 0.315511 + 0.371448i 0.896943 0.442147i \(-0.145783\pi\)
−0.581432 + 0.813595i \(0.697507\pi\)
\(198\) −46.6795 88.0468i −0.0167544 0.0316021i
\(199\) 4013.95 1352.46i 1.42985 0.481774i 0.505340 0.862920i \(-0.331367\pi\)
0.924515 + 0.381146i \(0.124471\pi\)
\(200\) −6.46639 + 119.266i −0.00228621 + 0.0421668i
\(201\) 1160.32 698.143i 0.407178 0.244991i
\(202\) 35.7256 + 128.672i 0.0124438 + 0.0448185i
\(203\) −47.9783 + 172.802i −0.0165883 + 0.0597455i
\(204\) −2079.98 1251.48i −0.713863 0.429517i
\(205\) 752.033 1109.17i 0.256216 0.377890i
\(206\) −226.953 + 24.6826i −0.0767599 + 0.00834815i
\(207\) −1796.53 + 195.385i −0.603225 + 0.0656047i
\(208\) 2468.82 3641.24i 0.822990 1.21382i
\(209\) −4708.68 2833.12i −1.55840 0.937660i
\(210\) −2.38102 + 8.57565i −0.000782409 + 0.00281798i
\(211\) −598.796 2156.67i −0.195369 0.703655i −0.994705 0.102771i \(-0.967229\pi\)
0.799336 0.600884i \(-0.205185\pi\)
\(212\) −1911.69 + 1150.23i −0.619318 + 0.372631i
\(213\) −13.0102 + 239.959i −0.00418518 + 0.0771911i
\(214\) 298.939 100.724i 0.0954908 0.0321746i
\(215\) 2214.13 + 4176.29i 0.702336 + 1.32475i
\(216\) 70.9714 + 83.5540i 0.0223564 + 0.0263200i
\(217\) −38.2868 56.4688i −0.0119773 0.0176652i
\(218\) 28.6689 + 528.768i 0.00890691 + 0.164278i
\(219\) 1367.15 + 3431.28i 0.421841 + 1.05874i
\(220\) −3059.72 1415.58i −0.937664 0.433809i
\(221\) 7015.87 1544.31i 2.13547 0.470052i
\(222\) −30.5273 + 57.5805i −0.00922908 + 0.0174079i
\(223\) −490.516 + 2992.01i −0.147298 + 0.898476i 0.804993 + 0.593284i \(0.202169\pi\)
−0.952291 + 0.305192i \(0.901279\pi\)
\(224\) −45.8808 + 34.8776i −0.0136854 + 0.0104034i
\(225\) −240.282 + 111.166i −0.0711947 + 0.0329382i
\(226\) 434.178 + 411.275i 0.127792 + 0.121051i
\(227\) −746.065 4550.80i −0.218141 1.33060i −0.837905 0.545815i \(-0.816220\pi\)
0.619764 0.784788i \(-0.287228\pi\)
\(228\) 2852.70 + 961.186i 0.828616 + 0.279193i
\(229\) −797.302 + 2001.08i −0.230075 + 0.577445i −0.998008 0.0630853i \(-0.979906\pi\)
0.767933 + 0.640530i \(0.221285\pi\)
\(230\) 363.139 343.983i 0.104107 0.0986156i
\(231\) 123.601 + 93.9587i 0.0352049 + 0.0267620i
\(232\) −597.143 131.441i −0.168984 0.0371963i
\(233\) −3757.18 + 4423.30i −1.05640 + 1.24369i −0.0875194 + 0.996163i \(0.527894\pi\)
−0.968881 + 0.247528i \(0.920382\pi\)
\(234\) −160.608 17.4672i −0.0448688 0.00487977i
\(235\) −2806.42 −0.779025
\(236\) 3451.82 + 1008.32i 0.952095 + 0.278119i
\(237\) −117.725 −0.0322661
\(238\) −30.7614 3.34551i −0.00837802 0.000911164i
\(239\) −57.4637 + 67.6516i −0.0155524 + 0.0183097i −0.769883 0.638185i \(-0.779686\pi\)
0.754331 + 0.656494i \(0.227961\pi\)
\(240\) 1788.72 + 393.727i 0.481089 + 0.105896i
\(241\) 135.154 + 102.742i 0.0361247 + 0.0274613i 0.623081 0.782158i \(-0.285881\pi\)
−0.586956 + 0.809619i \(0.699674\pi\)
\(242\) 103.126 97.6863i 0.0273934 0.0259484i
\(243\) −89.9436 + 225.741i −0.0237444 + 0.0595939i
\(244\) −1273.11 428.961i −0.334027 0.112547i
\(245\) 540.276 + 3295.54i 0.140886 + 0.859364i
\(246\) −76.0669 72.0544i −0.0197148 0.0186749i
\(247\) −8085.25 + 3740.64i −2.08280 + 0.963607i
\(248\) 185.175 140.767i 0.0474139 0.0360431i
\(249\) −543.225 + 3313.53i −0.138255 + 0.843318i
\(250\) 180.182 339.860i 0.0455829 0.0859785i
\(251\) 768.547 169.170i 0.193268 0.0425415i −0.117282 0.993099i \(-0.537418\pi\)
0.310550 + 0.950557i \(0.399487\pi\)
\(252\) −77.1890 35.7114i −0.0192954 0.00892701i
\(253\) −3229.73 8106.02i −0.802575 2.01431i
\(254\) −26.4054 487.019i −0.00652292 0.120308i
\(255\) 1678.41 + 2475.47i 0.412181 + 0.607922i
\(256\) 2439.11 + 2871.54i 0.595485 + 0.701059i
\(257\) 115.761 + 218.348i 0.0280972 + 0.0529969i 0.897163 0.441699i \(-0.145624\pi\)
−0.869066 + 0.494696i \(0.835279\pi\)
\(258\) 350.235 118.008i 0.0845144 0.0284762i
\(259\) 5.49703 101.387i 0.00131880 0.0243238i
\(260\) −4683.03 + 2817.69i −1.11704 + 0.672098i
\(261\) −362.584 1305.91i −0.0859900 0.309708i
\(262\) 115.969 417.683i 0.0273458 0.0984906i
\(263\) 7223.08 + 4345.98i 1.69351 + 1.01895i 0.925683 + 0.378300i \(0.123491\pi\)
0.767830 + 0.640653i \(0.221336\pi\)
\(264\) −297.058 + 438.128i −0.0692526 + 0.102140i
\(265\) 2732.72 297.201i 0.633470 0.0688940i
\(266\) 38.1471 4.14875i 0.00879304 0.000956301i
\(267\) −748.791 + 1104.38i −0.171630 + 0.253136i
\(268\) −3069.08 1846.60i −0.699530 0.420893i
\(269\) −242.321 + 872.760i −0.0549240 + 0.197818i −0.985922 0.167206i \(-0.946526\pi\)
0.930998 + 0.365024i \(0.118939\pi\)
\(270\) −17.9939 64.8083i −0.00405584 0.0146078i
\(271\) −3610.22 + 2172.20i −0.809246 + 0.486907i −0.859074 0.511851i \(-0.828960\pi\)
0.0498288 + 0.998758i \(0.484132\pi\)
\(272\) −344.741 + 6358.38i −0.0768493 + 1.41740i
\(273\) 238.521 80.3670i 0.0528789 0.0178170i
\(274\) −212.288 400.418i −0.0468058 0.0882851i
\(275\) −827.592 974.317i −0.181475 0.213649i
\(276\) 2682.41 + 3956.27i 0.585009 + 0.862823i
\(277\) 388.241 + 7160.69i 0.0842136 + 1.55323i 0.669753 + 0.742584i \(0.266400\pi\)
−0.585539 + 0.810644i \(0.699117\pi\)
\(278\) 127.049 + 318.869i 0.0274097 + 0.0687931i
\(279\) 467.938 + 216.491i 0.100411 + 0.0464551i
\(280\) 46.1691 10.1626i 0.00985404 0.00216904i
\(281\) −3422.27 + 6455.09i −0.726532 + 1.37038i 0.194502 + 0.980902i \(0.437691\pi\)
−0.921034 + 0.389483i \(0.872654\pi\)
\(282\) −35.4990 + 216.534i −0.00749622 + 0.0457249i
\(283\) 3412.59 2594.19i 0.716811 0.544906i −0.181969 0.983304i \(-0.558247\pi\)
0.898781 + 0.438398i \(0.144454\pi\)
\(284\) 576.882 266.894i 0.120534 0.0557649i
\(285\) −2692.65 2550.61i −0.559645 0.530124i
\(286\) −126.202 769.797i −0.0260926 0.159158i
\(287\) 154.692 + 52.1217i 0.0318159 + 0.0107200i
\(288\) 161.211 404.609i 0.0329842 0.0827840i
\(289\) −3982.23 + 3772.17i −0.810550 + 0.767793i
\(290\) 298.643 + 227.023i 0.0604722 + 0.0459698i
\(291\) −3442.26 757.699i −0.693433 0.152636i
\(292\) 6324.77 7446.10i 1.26757 1.49229i
\(293\) −243.183 26.4477i −0.0484877 0.00527336i 0.0838430 0.996479i \(-0.473281\pi\)
−0.132331 + 0.991206i \(0.542246\pi\)
\(294\) 261.107 0.0517961
\(295\) −3338.21 2913.27i −0.658840 0.574973i
\(296\) 346.175 0.0679765
\(297\) −1166.45 126.859i −0.227894 0.0247849i
\(298\) −68.5658 + 80.7218i −0.0133285 + 0.0156916i
\(299\) −13814.9 3040.90i −2.67203 0.588159i
\(300\) 557.484 + 423.788i 0.107288 + 0.0815581i
\(301\) −418.023 + 395.972i −0.0800480 + 0.0758255i
\(302\) 147.369 369.867i 0.0280798 0.0704750i
\(303\) 1489.97 + 502.030i 0.282497 + 0.0951845i
\(304\) −1277.52 7792.55i −0.241023 1.47018i
\(305\) 1201.68 + 1138.30i 0.225601 + 0.213700i
\(306\) 212.230 98.1880i 0.0396483 0.0183432i
\(307\) 4583.18 3484.04i 0.852039 0.647703i −0.0852102 0.996363i \(-0.527156\pi\)
0.937249 + 0.348660i \(0.113363\pi\)
\(308\) 66.4380 405.254i 0.0122911 0.0749724i
\(309\) −1259.02 + 2374.76i −0.231790 + 0.437203i
\(310\) −139.374 + 30.6785i −0.0255352 + 0.00562072i
\(311\) −4170.77 1929.60i −0.760458 0.351825i 0.00103418 0.999999i \(-0.499671\pi\)
−0.761492 + 0.648174i \(0.775533\pi\)
\(312\) 317.628 + 797.185i 0.0576350 + 0.144653i
\(313\) 209.450 + 3863.07i 0.0378236 + 0.697615i 0.954541 + 0.298079i \(0.0963460\pi\)
−0.916718 + 0.399536i \(0.869171\pi\)
\(314\) −151.580 223.564i −0.0272425 0.0401797i
\(315\) 67.8384 + 79.8655i 0.0121342 + 0.0142854i
\(316\) 145.856 + 275.113i 0.0259652 + 0.0489756i
\(317\) 1763.23 594.100i 0.312406 0.105262i −0.158731 0.987322i \(-0.550740\pi\)
0.471137 + 0.882060i \(0.343844\pi\)
\(318\) 11.6356 214.607i 0.00205187 0.0378445i
\(319\) 5607.40 3373.86i 0.984182 0.592163i
\(320\) −1274.39 4589.93i −0.222626 0.801827i
\(321\) 993.623 3578.71i 0.172768 0.622255i
\(322\) 52.2078 + 31.4124i 0.00903548 + 0.00543647i
\(323\) 7236.37 10672.8i 1.24657 1.83855i
\(324\) 638.973 69.4925i 0.109563 0.0119157i
\(325\) −2060.25 + 224.066i −0.351637 + 0.0382428i
\(326\) −274.262 + 404.506i −0.0465950 + 0.0687225i
\(327\) 5342.32 + 3214.37i 0.903459 + 0.543593i
\(328\) −148.890 + 536.252i −0.0250642 + 0.0902731i
\(329\) −91.4558 329.394i −0.0153256 0.0551978i
\(330\) 278.278 167.434i 0.0464203 0.0279302i
\(331\) −153.470 + 2830.58i −0.0254848 + 0.470039i 0.957739 + 0.287637i \(0.0928698\pi\)
−0.983224 + 0.182401i \(0.941613\pi\)
\(332\) 8416.45 2835.83i 1.39130 0.468785i
\(333\) 359.424 + 677.946i 0.0591481 + 0.111565i
\(334\) 202.977 + 238.962i 0.0332526 + 0.0391480i
\(335\) 2476.55 + 3652.64i 0.403906 + 0.595716i
\(336\) 12.0785 + 222.776i 0.00196113 + 0.0361708i
\(337\) 211.403 + 530.581i 0.0341717 + 0.0857644i 0.945072 0.326861i \(-0.105991\pi\)
−0.910901 + 0.412626i \(0.864612\pi\)
\(338\) −639.667 295.941i −0.102939 0.0476245i
\(339\) 6876.68 1513.67i 1.10174 0.242511i
\(340\) 3705.49 6989.29i 0.591054 1.11485i
\(341\) −402.763 + 2456.75i −0.0639614 + 0.390148i
\(342\) −230.857 + 175.493i −0.0365009 + 0.0277472i
\(343\) −739.924 + 342.325i −0.116478 + 0.0538887i
\(344\) −1425.21 1350.03i −0.223378 0.211595i
\(345\) −952.770 5811.64i −0.148682 0.906922i
\(346\) −422.589 142.387i −0.0656605 0.0221236i
\(347\) 2621.79 6580.19i 0.405605 1.01799i −0.574321 0.818630i \(-0.694734\pi\)
0.979926 0.199361i \(-0.0638867\pi\)
\(348\) −2602.57 + 2465.29i −0.400898 + 0.379751i
\(349\) −4300.18 3268.91i −0.659551 0.501378i 0.221034 0.975266i \(-0.429057\pi\)
−0.880585 + 0.473888i \(0.842850\pi\)
\(350\) 8.71772 + 1.91892i 0.00133138 + 0.000293058i
\(351\) −1231.41 + 1449.73i −0.187259 + 0.220459i
\(352\) 2090.70 + 227.377i 0.316576 + 0.0344297i
\(353\) −2018.46 −0.304339 −0.152169 0.988354i \(-0.548626\pi\)
−0.152169 + 0.988354i \(0.548626\pi\)
\(354\) −267.004 + 220.714i −0.0400878 + 0.0331380i
\(355\) −783.148 −0.117085
\(356\) 3508.57 + 381.580i 0.522342 + 0.0568081i
\(357\) −235.854 + 277.668i −0.0349655 + 0.0411646i
\(358\) 206.920 + 45.5465i 0.0305476 + 0.00672404i
\(359\) 226.765 + 172.382i 0.0333375 + 0.0253425i 0.621710 0.783247i \(-0.286438\pi\)
−0.588373 + 0.808590i \(0.700231\pi\)
\(360\) −259.372 + 245.690i −0.0379725 + 0.0359695i
\(361\) −3380.00 + 8483.15i −0.492783 + 1.23679i
\(362\) 1045.39 + 352.233i 0.151780 + 0.0511408i
\(363\) −270.573 1650.42i −0.0391223 0.238635i
\(364\) −483.327 457.831i −0.0695967 0.0659255i
\(365\) −10924.6 + 5054.24i −1.56662 + 0.724797i
\(366\) 103.027 78.3194i 0.0147140 0.0111853i
\(367\) −721.340 + 4399.98i −0.102599 + 0.625823i 0.884603 + 0.466345i \(0.154429\pi\)
−0.987201 + 0.159478i \(0.949019\pi\)
\(368\) 5873.21 11078.0i 0.831963 1.56925i
\(369\) −1204.78 + 265.192i −0.169968 + 0.0374128i
\(370\) −192.759 89.1800i −0.0270840 0.0125304i
\(371\) 123.937 + 311.058i 0.0173436 + 0.0435292i
\(372\) −73.8320 1361.75i −0.0102904 0.189794i
\(373\) 5227.05 + 7709.32i 0.725593 + 1.07017i 0.994266 + 0.106938i \(0.0341048\pi\)
−0.268672 + 0.963232i \(0.586585\pi\)
\(374\) 730.973 + 860.568i 0.101063 + 0.118981i
\(375\) −2121.44 4001.47i −0.292136 0.551026i
\(376\) 1104.51 372.152i 0.151491 0.0510432i
\(377\) 574.358 10593.4i 0.0784640 1.44718i
\(378\) 7.02026 4.22395i 0.000955246 0.000574753i
\(379\) 755.218 + 2720.05i 0.102356 + 0.368653i 0.996933 0.0782610i \(-0.0249367\pi\)
−0.894577 + 0.446914i \(0.852523\pi\)
\(380\) −2624.49 + 9452.57i −0.354299 + 1.27607i
\(381\) −4920.52 2960.58i −0.661642 0.398097i
\(382\) −403.358 + 594.908i −0.0540250 + 0.0796810i
\(383\) 8942.27 972.530i 1.19302 0.129749i 0.510020 0.860163i \(-0.329638\pi\)
0.683005 + 0.730413i \(0.260673\pi\)
\(384\) −1524.90 + 165.843i −0.202649 + 0.0220394i
\(385\) −283.945 + 418.787i −0.0375874 + 0.0554373i
\(386\) −765.320 460.478i −0.100917 0.0607195i
\(387\) 1164.13 4192.80i 0.152909 0.550729i
\(388\) 2494.12 + 8983.01i 0.326340 + 1.17537i
\(389\) 1897.64 1141.77i 0.247337 0.148818i −0.386487 0.922295i \(-0.626312\pi\)
0.633825 + 0.773477i \(0.281484\pi\)
\(390\) 28.5036 525.719i 0.00370087 0.0682585i
\(391\) 19403.2 6537.71i 2.50963 0.845592i
\(392\) −649.644 1225.36i −0.0837040 0.157883i
\(393\) −3304.12 3889.91i −0.424098 0.499287i
\(394\) 192.690 + 284.197i 0.0246386 + 0.0363392i
\(395\) −20.7705 383.090i −0.00264577 0.0487983i
\(396\) 1148.72 + 2883.07i 0.145771 + 0.365858i
\(397\) 2796.69 + 1293.89i 0.353557 + 0.163573i 0.588625 0.808406i \(-0.299669\pi\)
−0.235069 + 0.971979i \(0.575531\pi\)
\(398\) 1054.02 232.008i 0.132747 0.0292199i
\(399\) 211.621 399.160i 0.0265521 0.0500826i
\(400\) 297.188 1812.77i 0.0371485 0.226596i
\(401\) −2195.55 + 1669.02i −0.273418 + 0.207847i −0.732893 0.680344i \(-0.761831\pi\)
0.459475 + 0.888191i \(0.348037\pi\)
\(402\) 313.152 144.879i 0.0388522 0.0179749i
\(403\) 2930.04 + 2775.48i 0.362173 + 0.343069i
\(404\) −672.805 4103.93i −0.0828547 0.505391i
\(405\) −750.456 252.858i −0.0920752 0.0310237i
\(406\) −16.9138 + 42.4504i −0.00206753 + 0.00518911i
\(407\) −2689.87 + 2547.98i −0.327596 + 0.310316i
\(408\) −988.827 751.687i −0.119986 0.0912109i
\(409\) −13926.3 3065.41i −1.68365 0.370599i −0.732845 0.680396i \(-0.761808\pi\)
−0.950803 + 0.309797i \(0.899739\pi\)
\(410\) 221.052 260.243i 0.0266268 0.0313475i
\(411\) −5304.77 576.929i −0.636655 0.0692404i
\(412\) 7109.48 0.850143
\(413\) 233.149 486.748i 0.0277785 0.0579935i
\(414\) −460.458 −0.0546626
\(415\) −10878.4 1183.10i −1.28675 0.139942i
\(416\) 2207.13 2598.44i 0.260129 0.306247i
\(417\) 3946.87 + 868.771i 0.463498 + 0.102024i
\(418\) −1114.70 847.370i −0.130434 0.0991537i
\(419\) 8163.70 7733.07i 0.951844 0.901635i −0.0433987 0.999058i \(-0.513819\pi\)
0.995243 + 0.0974230i \(0.0310600\pi\)
\(420\) 102.590 257.482i 0.0119188 0.0299139i
\(421\) 9164.13 + 3087.76i 1.06088 + 0.357454i 0.795037 0.606561i \(-0.207452\pi\)
0.265848 + 0.964015i \(0.414348\pi\)
\(422\) −92.2659 562.797i −0.0106432 0.0649207i
\(423\) 1875.60 + 1776.66i 0.215590 + 0.204218i
\(424\) −1036.09 + 479.345i −0.118672 + 0.0549035i
\(425\) 2388.03 1815.33i 0.272556 0.207192i
\(426\) −9.90619 + 60.4251i −0.00112666 + 0.00687231i
\(427\) −94.4429 + 178.138i −0.0107035 + 0.0201890i
\(428\) −9594.17 + 2111.84i −1.08353 + 0.238504i
\(429\) −8335.61 3856.47i −0.938105 0.434014i
\(430\) 445.804 + 1118.88i 0.0499967 + 0.125482i
\(431\) 99.0037 + 1826.02i 0.0110646 + 0.204074i 0.998839 + 0.0481817i \(0.0153427\pi\)
−0.987774 + 0.155893i \(0.950175\pi\)
\(432\) −946.186 1395.52i −0.105378 0.155421i
\(433\) 5217.37 + 6142.36i 0.579055 + 0.681716i 0.971221 0.238178i \(-0.0765503\pi\)
−0.392167 + 0.919894i \(0.628274\pi\)
\(434\) −8.14270 15.3588i −0.000900604 0.00169872i
\(435\) 4185.60 1410.29i 0.461343 0.155445i
\(436\) 892.814 16467.0i 0.0980688 1.80877i
\(437\) −21756.5 + 13090.4i −2.38159 + 1.43295i
\(438\) 251.781 + 906.834i 0.0274671 + 0.0989274i
\(439\) −3124.94 + 11255.0i −0.339739 + 1.22363i 0.574518 + 0.818492i \(0.305190\pi\)
−0.914256 + 0.405136i \(0.867224\pi\)
\(440\) −1478.13 889.360i −0.160152 0.0963604i
\(441\) 1725.22 2544.51i 0.186289 0.274756i
\(442\) 1819.72 197.906i 0.195826 0.0212974i
\(443\) −2597.16 + 282.458i −0.278544 + 0.0302935i −0.246325 0.969187i \(-0.579223\pi\)
−0.0322191 + 0.999481i \(0.510257\pi\)
\(444\) 1138.99 1679.89i 0.121743 0.179558i
\(445\) −3725.90 2241.80i −0.396909 0.238812i
\(446\) −206.678 + 744.388i −0.0219428 + 0.0790309i
\(447\) 333.605 + 1201.54i 0.0352997 + 0.127138i
\(448\) 497.196 299.153i 0.0524338 0.0315483i
\(449\) −130.673 + 2410.11i −0.0137346 + 0.253319i 0.983600 + 0.180361i \(0.0577266\pi\)
−0.997335 + 0.0729579i \(0.976756\pi\)
\(450\) −63.9279 + 21.5398i −0.00669687 + 0.00225644i
\(451\) −2790.10 5262.69i −0.291310 0.549469i
\(452\) −12057.2 14194.8i −1.25470 1.47714i
\(453\) −2630.68 3879.96i −0.272848 0.402420i
\(454\) −63.6148 1173.31i −0.00657619 0.121291i
\(455\) 303.606 + 761.993i 0.0312819 + 0.0785116i
\(456\) 1397.96 + 646.764i 0.143564 + 0.0664200i
\(457\) −67.1235 + 14.7750i −0.00687068 + 0.00151235i −0.218404 0.975858i \(-0.570085\pi\)
0.211534 + 0.977371i \(0.432154\pi\)
\(458\) −257.090 + 484.924i −0.0262293 + 0.0494738i
\(459\) 445.423 2716.96i 0.0452954 0.276290i
\(460\) −12400.8 + 9426.88i −1.25694 + 0.955501i
\(461\) −331.386 + 153.316i −0.0334798 + 0.0154894i −0.436558 0.899676i \(-0.643802\pi\)
0.403078 + 0.915166i \(0.367940\pi\)
\(462\) 28.7205 + 27.2055i 0.00289221 + 0.00273965i
\(463\) 620.137 + 3782.67i 0.0622467 + 0.379688i 0.999517 + 0.0310839i \(0.00989591\pi\)
−0.937270 + 0.348604i \(0.886656\pi\)
\(464\) 8911.50 + 3002.63i 0.891608 + 0.300418i
\(465\) −621.926 + 1560.92i −0.0620239 + 0.155668i
\(466\) −1073.58 + 1016.95i −0.106722 + 0.101093i
\(467\) 10441.1 + 7937.10i 1.03459 + 0.786478i 0.977296 0.211880i \(-0.0679585\pi\)
0.0572978 + 0.998357i \(0.481752\pi\)
\(468\) 4913.56 + 1081.56i 0.485319 + 0.106827i
\(469\) −348.010 + 409.708i −0.0342635 + 0.0403381i
\(470\) −710.890 77.3139i −0.0697678 0.00758771i
\(471\) −3180.19 −0.311116
\(472\) 1700.12 + 703.887i 0.165793 + 0.0686420i
\(473\) 21010.9 2.04245
\(474\) −29.8207 3.24319i −0.00288968 0.000314272i
\(475\) −2408.21 + 2835.16i −0.232623 + 0.273865i
\(476\) 941.098 + 207.151i 0.0906201 + 0.0199470i
\(477\) −2014.49 1531.37i −0.193369 0.146995i
\(478\) −16.4197 + 15.5536i −0.00157117 + 0.00148830i
\(479\) −1177.94 + 2956.39i −0.112362 + 0.282007i −0.974394 0.224846i \(-0.927812\pi\)
0.862033 + 0.506853i \(0.169191\pi\)
\(480\) 1345.08 + 453.211i 0.127905 + 0.0430962i
\(481\) 971.733 + 5927.31i 0.0921148 + 0.561875i
\(482\) 31.4052 + 29.7486i 0.00296778 + 0.00281123i
\(483\) 651.071 301.218i 0.0613349 0.0283766i
\(484\) −3521.66 + 2677.10i −0.330735 + 0.251418i
\(485\) 1858.31 11335.2i 0.173982 1.06124i
\(486\) −29.0023 + 54.7042i −0.00270694 + 0.00510583i
\(487\) 17480.5 3847.75i 1.62652 0.358025i 0.694237 0.719747i \(-0.255742\pi\)
0.932286 + 0.361722i \(0.117811\pi\)
\(488\) −623.885 288.640i −0.0578728 0.0267748i
\(489\) 2129.81 + 5345.42i 0.196960 + 0.494332i
\(490\) 46.0677 + 849.669i 0.00424720 + 0.0783350i
\(491\) −2746.15 4050.26i −0.252407 0.372272i 0.680284 0.732948i \(-0.261856\pi\)
−0.932691 + 0.360676i \(0.882546\pi\)
\(492\) 2112.39 + 2486.90i 0.193565 + 0.227882i
\(493\) 7192.84 + 13567.1i 0.657098 + 1.23942i
\(494\) −2151.11 + 724.793i −0.195917 + 0.0660121i
\(495\) 207.014 3818.15i 0.0187971 0.346693i
\(496\) −3065.32 + 1844.34i −0.277494 + 0.166963i
\(497\) −25.5212 91.9192i −0.00230339 0.00829605i
\(498\) −228.887 + 824.377i −0.0205957 + 0.0741791i
\(499\) −1742.12 1048.20i −0.156289 0.0940357i 0.435261 0.900304i \(-0.356656\pi\)
−0.591550 + 0.806269i \(0.701484\pi\)
\(500\) −6722.71 + 9915.25i −0.601297 + 0.886847i
\(501\) 3669.85 399.120i 0.327259 0.0355916i
\(502\) 199.339 21.6795i 0.0177230 0.00192749i
\(503\) 4377.42 6456.21i 0.388031 0.572303i −0.582635 0.812734i \(-0.697978\pi\)
0.970666 + 0.240431i \(0.0772887\pi\)
\(504\) −37.2894 22.4363i −0.00329564 0.00198292i
\(505\) −1370.78 + 4937.11i −0.120790 + 0.435046i
\(506\) −594.805 2142.29i −0.0522575 0.188215i
\(507\) −7110.48 + 4278.23i −0.622855 + 0.374759i
\(508\) −822.322 + 15166.8i −0.0718201 + 1.32464i
\(509\) 118.633 39.9720i 0.0103306 0.00348080i −0.314131 0.949379i \(-0.601713\pi\)
0.324462 + 0.945899i \(0.394817\pi\)
\(510\) 356.959 + 673.295i 0.0309929 + 0.0584588i
\(511\) −949.232 1117.52i −0.0821753 0.0967442i
\(512\) 2834.21 + 4180.14i 0.244639 + 0.360816i
\(513\) 184.845 + 3409.26i 0.0159086 + 0.293416i
\(514\) 23.3079 + 58.4984i 0.00200013 + 0.00501995i
\(515\) −7949.87 3678.00i −0.680220 0.314703i
\(516\) −11240.5 + 2474.22i −0.958983 + 0.211088i
\(517\) −5843.11 + 11021.3i −0.497059 + 0.937554i
\(518\) 4.18554 25.5306i 0.000355023 0.00216554i
\(519\) −4179.76 + 3177.37i −0.353509 + 0.268731i
\(520\) −2538.09 + 1174.24i −0.214043 + 0.0990269i
\(521\) −8730.16 8269.64i −0.734117 0.695393i 0.226269 0.974065i \(-0.427347\pi\)
−0.960386 + 0.278672i \(0.910106\pi\)
\(522\) −55.8690 340.786i −0.00468452 0.0285743i
\(523\) 8137.53 + 2741.85i 0.680362 + 0.229241i 0.638200 0.769870i \(-0.279679\pi\)
0.0421613 + 0.999111i \(0.486576\pi\)
\(524\) −4996.73 + 12540.8i −0.416571 + 1.04551i
\(525\) 76.3010 72.2762i 0.00634295 0.00600836i
\(526\) 1709.94 + 1299.86i 0.141743 + 0.107750i
\(527\) −5705.16 1255.80i −0.471576 0.103802i
\(528\) 5270.43 6204.83i 0.434406 0.511422i
\(529\) −27985.3 3043.59i −2.30010 0.250151i
\(530\) 700.407 0.0574033
\(531\) 386.699 + 4060.32i 0.0316032 + 0.331832i
\(532\) −1194.99 −0.0973860
\(533\) −9599.80 1044.04i −0.780138 0.0848451i
\(534\) −220.099 + 259.121i −0.0178364 + 0.0209986i
\(535\) 11820.8 + 2601.96i 0.955249 + 0.210266i
\(536\) −1459.05 1109.14i −0.117577 0.0893796i
\(537\) 1811.04 1715.51i 0.145535 0.137858i
\(538\) −85.4253 + 214.401i −0.00684562 + 0.0171812i
\(539\) 14067.0 + 4739.72i 1.12413 + 0.378764i
\(540\) 338.872 + 2067.03i 0.0270051 + 0.164724i
\(541\) −5551.14 5258.32i −0.441150 0.417879i 0.434616 0.900616i \(-0.356884\pi\)
−0.875766 + 0.482737i \(0.839643\pi\)
\(542\) −974.340 + 450.778i −0.0772168 + 0.0357243i
\(543\) 10339.8 7860.11i 0.817170 0.621196i
\(544\) −798.357 + 4869.76i −0.0629215 + 0.383804i
\(545\) −9517.34 + 17951.6i −0.748033 + 1.41094i
\(546\) 62.6332 13.7866i 0.00490926 0.00108061i
\(547\) 9746.95 + 4509.42i 0.761882 + 0.352484i 0.762052 0.647516i \(-0.224192\pi\)
−0.000170015 1.00000i \(0.500054\pi\)
\(548\) 5224.13 + 13111.6i 0.407233 + 1.02208i
\(549\) −82.4931 1521.50i −0.00641297 0.118280i
\(550\) −182.794 269.601i −0.0141716 0.0209015i
\(551\) −12328.0 14513.7i −0.953161 1.12215i
\(552\) 1145.64 + 2160.91i 0.0883363 + 0.166620i
\(553\) 44.2869 14.9220i 0.00340555 0.00114746i
\(554\) −98.9245 + 1824.56i −0.00758646 + 0.139924i
\(555\) −2142.70 + 1289.22i −0.163878 + 0.0986022i
\(556\) −2859.74 10299.8i −0.218129 0.785631i
\(557\) 3535.72 12734.5i 0.268965 0.968723i −0.698478 0.715632i \(-0.746139\pi\)
0.967442 0.253091i \(-0.0814472\pi\)
\(558\) 112.568 + 67.7301i 0.00854013 + 0.00513843i
\(559\) 19114.9 28192.4i 1.44629 2.13311i
\(560\) −722.805 + 78.6098i −0.0545430 + 0.00593191i
\(561\) 13216.1 1437.34i 0.994625 0.108172i
\(562\) −1044.72 + 1540.84i −0.0784142 + 0.115652i
\(563\) 1924.44 + 1157.90i 0.144060 + 0.0866778i 0.585759 0.810485i \(-0.300797\pi\)
−0.441699 + 0.897163i \(0.645624\pi\)
\(564\) 1828.12 6584.30i 0.136485 0.491576i
\(565\) 6138.92 + 22110.4i 0.457108 + 1.64636i
\(566\) 935.904 563.115i 0.0695035 0.0418189i
\(567\) 5.22244 96.3222i 0.000386811 0.00713431i
\(568\) 308.218 103.851i 0.0227686 0.00767163i
\(569\) −644.928 1216.46i −0.0475163 0.0896253i 0.858617 0.512618i \(-0.171324\pi\)
−0.906133 + 0.422993i \(0.860980\pi\)
\(570\) −611.803 720.270i −0.0449572 0.0529277i
\(571\) −2140.46 3156.94i −0.156875 0.231373i 0.741127 0.671365i \(-0.234292\pi\)
−0.898002 + 0.439992i \(0.854981\pi\)
\(572\) 1315.21 + 24257.6i 0.0961391 + 1.77318i
\(573\) 3132.32 + 7861.52i 0.228367 + 0.573158i
\(574\) 37.7487 + 17.4644i 0.00274495 + 0.00126995i
\(575\) −5768.57 + 1269.76i −0.418376 + 0.0920914i
\(576\) −2054.04 + 3874.32i −0.148585 + 0.280261i
\(577\) 1101.35 6717.95i 0.0794626 0.484700i −0.916874 0.399178i \(-0.869296\pi\)
0.996336 0.0855227i \(-0.0272560\pi\)
\(578\) −1112.65 + 845.814i −0.0800694 + 0.0608672i
\(579\) −9544.14 + 4415.59i −0.685045 + 0.316935i
\(580\) −8481.49 8034.09i −0.607198 0.575168i
\(581\) −215.644 1315.37i −0.0153983 0.0939255i
\(582\) −851.078 286.762i −0.0606157 0.0204238i
\(583\) 4522.50 11350.6i 0.321274 0.806337i
\(584\) 3629.28 3437.84i 0.257159 0.243594i
\(585\) −4934.85 3751.37i −0.348771 0.265129i
\(586\) −60.8716 13.3988i −0.00429109 0.000944541i
\(587\) 796.060 937.194i 0.0559743 0.0658980i −0.733462 0.679730i \(-0.762097\pi\)
0.789437 + 0.613832i \(0.210373\pi\)
\(588\) −8083.76 879.162i −0.566954 0.0616599i
\(589\) 7244.31 0.506785
\(590\) −765.337 829.918i −0.0534041 0.0579105i
\(591\) 4042.70 0.281378
\(592\) −5292.87 575.635i −0.367459 0.0399636i
\(593\) 4093.44 4819.17i 0.283470 0.333726i −0.601937 0.798544i \(-0.705604\pi\)
0.885407 + 0.464817i \(0.153880\pi\)
\(594\) −291.977 64.2690i −0.0201683 0.00443937i
\(595\) −945.175 718.504i −0.0651234 0.0495055i
\(596\) 2394.57 2268.25i 0.164573 0.155891i
\(597\) 4703.35 11804.5i 0.322438 0.809257i
\(598\) −3415.66 1150.87i −0.233573 0.0786999i
\(599\) −1715.92 10466.7i −0.117046 0.713950i −0.978521 0.206149i \(-0.933907\pi\)
0.861474 0.507801i \(-0.169542\pi\)
\(600\) 260.140 + 246.418i 0.0177003 + 0.0167666i
\(601\) 3813.23 1764.19i 0.258810 0.119738i −0.286194 0.958172i \(-0.592390\pi\)
0.545004 + 0.838433i \(0.316528\pi\)
\(602\) −116.797 + 88.7868i −0.00790747 + 0.00601110i
\(603\) 657.236 4008.96i 0.0443860 0.270742i
\(604\) −5807.84 + 10954.7i −0.391254 + 0.737984i
\(605\) 5322.91 1171.66i 0.357698 0.0787352i
\(606\) 363.592 + 168.215i 0.0243728 + 0.0112760i
\(607\) −5576.52 13996.0i −0.372889 0.935882i −0.988959 0.148190i \(-0.952655\pi\)
0.616070 0.787692i \(-0.288724\pi\)
\(608\) −331.308 6110.61i −0.0220992 0.407595i
\(609\) 301.929 + 445.311i 0.0200899 + 0.0296304i
\(610\) 273.037 + 321.444i 0.0181229 + 0.0213359i
\(611\) 9472.49 + 17867.0i 0.627195 + 1.18302i
\(612\) −6901.16 + 2325.27i −0.455822 + 0.153584i
\(613\) −1216.59 + 22438.7i −0.0801593 + 1.47845i 0.631199 + 0.775621i \(0.282563\pi\)
−0.711358 + 0.702830i \(0.751920\pi\)
\(614\) 1256.94 756.274i 0.0826154 0.0497081i
\(615\) −1075.52 3873.69i −0.0705193 0.253987i
\(616\) 56.2162 202.472i 0.00367697 0.0132433i
\(617\) −1446.16 870.126i −0.0943602 0.0567747i 0.467592 0.883945i \(-0.345122\pi\)
−0.561952 + 0.827170i \(0.689949\pi\)
\(618\) −384.342 + 566.862i −0.0250170 + 0.0368973i
\(619\) −19595.0 + 2131.09i −1.27236 + 0.138377i −0.719261 0.694740i \(-0.755520\pi\)
−0.553097 + 0.833117i \(0.686554\pi\)
\(620\) 4418.26 480.515i 0.286196 0.0311257i
\(621\) −3042.41 + 4487.21i −0.196598 + 0.289961i
\(622\) −1003.33 603.683i −0.0646782 0.0389156i
\(623\) 141.703 510.370i 0.00911273 0.0328211i
\(624\) −3530.80 12716.8i −0.226514 0.815831i
\(625\) 9496.15 5713.65i 0.607754 0.365673i
\(626\) −53.3681 + 984.316i −0.00340738 + 0.0628453i
\(627\) −15622.9 + 5263.96i −0.995085 + 0.335283i
\(628\) 3940.10 + 7431.82i 0.250362 + 0.472233i
\(629\) −5628.37 6626.23i −0.356785 0.420040i
\(630\) 14.9838 + 22.0994i 0.000947569 + 0.00139756i
\(631\) 100.239 + 1848.80i 0.00632402 + 0.116640i 0.999991 + 0.00427338i \(0.00136026\pi\)
−0.993667 + 0.112366i \(0.964157\pi\)
\(632\) 58.9749 + 148.016i 0.00371186 + 0.00931607i
\(633\) −6094.15 2819.45i −0.382655 0.177035i
\(634\) 463.006 101.915i 0.0290037 0.00638419i
\(635\) 8765.90 16534.2i 0.547817 1.03329i
\(636\) −1082.83 + 6604.97i −0.0675110 + 0.411799i
\(637\) 19157.3 14563.0i 1.19159 0.905822i
\(638\) 1513.34 700.148i 0.0939089 0.0434469i
\(639\) 523.395 + 495.786i 0.0324025 + 0.0306933i
\(640\) −808.713 4932.93i −0.0499488 0.304674i
\(641\) −6791.75 2288.41i −0.418499 0.141009i 0.102171 0.994767i \(-0.467421\pi\)
−0.520670 + 0.853758i \(0.674318\pi\)
\(642\) 350.282 879.141i 0.0215335 0.0540451i
\(643\) −18142.1 + 17185.1i −1.11268 + 1.05399i −0.114515 + 0.993421i \(0.536531\pi\)
−0.998164 + 0.0605645i \(0.980710\pi\)
\(644\) −1510.57 1148.30i −0.0924295 0.0702631i
\(645\) 13849.2 + 3048.44i 0.845445 + 0.186097i
\(646\) 2127.05 2504.16i 0.129548 0.152515i
\(647\) 1068.57 + 116.214i 0.0649303 + 0.00706160i 0.140527 0.990077i \(-0.455120\pi\)
−0.0755962 + 0.997139i \(0.524086\pi\)
\(648\) 328.883 0.0199379
\(649\) −18391.2 + 7044.10i −1.11235 + 0.426048i
\(650\) −528.050 −0.0318644
\(651\) −203.474 22.1292i −0.0122501 0.00133227i
\(652\) 9853.05 11599.9i 0.591833 0.696760i
\(653\) 26531.9 + 5840.12i 1.59001 + 0.349987i 0.919862 0.392243i \(-0.128301\pi\)
0.670145 + 0.742230i \(0.266232\pi\)
\(654\) 1264.70 + 961.400i 0.0756172 + 0.0574827i
\(655\) 12075.2 11438.3i 0.720333 0.682335i
\(656\) 3168.16 7951.49i 0.188561 0.473252i
\(657\) 10500.8 + 3538.13i 0.623554 + 0.210100i
\(658\) −14.0920 85.9576i −0.000834901 0.00509267i
\(659\) 8465.62 + 8019.06i 0.500416 + 0.474019i 0.895775 0.444508i \(-0.146621\pi\)
−0.395360 + 0.918526i \(0.629380\pi\)
\(660\) −9179.15 + 4246.73i −0.541360 + 0.250460i
\(661\) −19877.5 + 15110.5i −1.16966 + 0.889153i −0.995425 0.0955508i \(-0.969539\pi\)
−0.174236 + 0.984704i \(0.555746\pi\)
\(662\) −116.854 + 712.781i −0.00686054 + 0.0418475i
\(663\) 10094.9 19041.0i 0.591332 1.11537i
\(664\) 4438.24 976.930i 0.259393 0.0570967i
\(665\) 1336.25 + 618.213i 0.0779208 + 0.0360500i
\(666\) 72.3683 + 181.631i 0.00421053 + 0.0105676i
\(667\) −1637.01 30192.9i −0.0950305 1.75273i
\(668\) −5479.48 8081.62i −0.317376 0.468095i
\(669\) 5888.54 + 6932.52i 0.340305 + 0.400638i
\(670\) 526.704 + 993.468i 0.0303706 + 0.0572851i
\(671\) 6972.23 2349.22i 0.401133 0.135157i
\(672\) −9.36047 + 172.644i −0.000537333 + 0.00991053i
\(673\) 4025.11 2421.83i 0.230545 0.138714i −0.395595 0.918425i \(-0.629462\pi\)
0.626140 + 0.779711i \(0.284634\pi\)
\(674\) 38.9331 + 140.224i 0.00222499 + 0.00801371i
\(675\) −212.486 + 765.305i −0.0121164 + 0.0436394i
\(676\) 18807.4 + 11316.0i 1.07006 + 0.643834i
\(677\) −5626.82 + 8298.94i −0.319433 + 0.471129i −0.953176 0.302415i \(-0.902207\pi\)
0.633743 + 0.773543i \(0.281518\pi\)
\(678\) 1783.62 193.980i 0.101032 0.0109878i
\(679\) 1390.98 151.279i 0.0786172 0.00855013i
\(680\) 2271.61 3350.37i 0.128106 0.188943i
\(681\) −11854.3 7132.50i −0.667046 0.401348i
\(682\) −169.704 + 611.218i −0.00952829 + 0.0343178i
\(683\) −2870.22 10337.6i −0.160799 0.579146i −0.999408 0.0344115i \(-0.989044\pi\)
0.838609 0.544734i \(-0.183369\pi\)
\(684\) 7738.13 4655.88i 0.432565 0.260266i
\(685\) 941.453 17364.1i 0.0525125 0.968537i
\(686\) −196.859 + 66.3296i −0.0109564 + 0.00369165i
\(687\) 3026.95 + 5709.43i 0.168101 + 0.317072i
\(688\) 19545.9 + 23011.2i 1.08311 + 1.27514i
\(689\) −11115.8 16394.6i −0.614629 0.906511i
\(690\) −81.2399 1498.38i −0.00448225 0.0826702i
\(691\) −4762.74 11953.6i −0.262204 0.658083i 0.737650 0.675184i \(-0.235936\pi\)
−0.999854 + 0.0171009i \(0.994556\pi\)
\(692\) 12603.8 + 5831.13i 0.692375 + 0.320327i
\(693\) 454.887 100.128i 0.0249347 0.00548854i
\(694\) 845.396 1594.59i 0.0462403 0.0872185i
\(695\) −2130.72 + 12996.8i −0.116292 + 0.709348i
\(696\) −1460.29 + 1110.08i −0.0795287 + 0.0604561i
\(697\) 12685.3 5868.84i 0.689368 0.318936i
\(698\) −999.214 946.506i −0.0541846 0.0513263i
\(699\) 2816.76 + 17181.5i 0.152417 + 0.929705i
\(700\) −263.436 88.7620i −0.0142242 0.00479270i
\(701\) 5230.75 13128.2i 0.281830 0.707339i −0.718105 0.695934i \(-0.754990\pi\)
0.999935 0.0114046i \(-0.00363027\pi\)
\(702\) −351.865 + 333.305i −0.0189178 + 0.0179199i
\(703\) 8582.98 + 6524.61i 0.460474 + 0.350043i
\(704\) −20678.7 4551.73i −1.10704 0.243679i
\(705\) −5450.52 + 6416.85i −0.291175 + 0.342798i
\(706\) −511.291 55.6063i −0.0272559 0.00296426i
\(707\) −624.146 −0.0332015
\(708\) 9009.50 5934.22i 0.478245 0.315002i
\(709\) −18691.5 −0.990089 −0.495045 0.868868i \(-0.664848\pi\)
−0.495045 + 0.868868i \(0.664848\pi\)
\(710\) −198.377 21.5748i −0.0104859 0.00114041i
\(711\) −228.641 + 269.176i −0.0120600 + 0.0141982i
\(712\) 1763.66 + 388.210i 0.0928312 + 0.0204337i
\(713\) 9157.41 + 6961.28i 0.480993 + 0.365641i
\(714\) −67.3930 + 63.8381i −0.00353238 + 0.00334605i
\(715\) 11078.7 27805.4i 0.579467 1.45435i
\(716\) −6252.80 2106.81i −0.326366 0.109965i
\(717\) 43.0806 + 262.780i 0.00224390 + 0.0136872i
\(718\) 52.6923 + 49.9128i 0.00273880 + 0.00259433i
\(719\) −15575.5 + 7205.98i −0.807882 + 0.373766i −0.779948 0.625844i \(-0.784755\pi\)
−0.0279334 + 0.999610i \(0.508893\pi\)
\(720\) 4374.23 3325.21i 0.226414 0.172115i
\(721\) 172.622 1052.95i 0.00891647 0.0543880i
\(722\) −1089.88 + 2055.73i −0.0561789 + 0.105965i
\(723\) 497.408 109.488i 0.0255862 0.00563194i
\(724\) −31178.9 14424.9i −1.60049 0.740465i
\(725\) −1639.67 4115.26i −0.0839943 0.210810i
\(726\) −23.0710 425.519i −0.00117940 0.0217527i
\(727\) −10180.8 15015.6i −0.519377 0.766023i 0.474050 0.880498i \(-0.342792\pi\)
−0.993426 + 0.114475i \(0.963481\pi\)
\(728\) −220.534 259.633i −0.0112274 0.0132179i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) −2906.51 + 979.318i −0.147363 + 0.0496523i
\(731\) −2669.17 + 49229.9i −0.135052 + 2.49088i
\(732\) −3453.40 + 2077.84i −0.174373 + 0.104917i
\(733\) −9152.38 32963.9i −0.461188 1.66105i −0.719120 0.694886i \(-0.755455\pi\)
0.257932 0.966163i \(-0.416959\pi\)
\(734\) −303.936 + 1094.68i −0.0152840 + 0.0550481i
\(735\) 8584.50 + 5165.12i 0.430808 + 0.259209i
\(736\) 5453.08 8042.68i 0.273102 0.402795i
\(737\) 19500.8 2120.84i 0.974655 0.106000i
\(738\) −312.486 + 33.9848i −0.0155864 + 0.00169512i
\(739\) 4944.54 7292.65i 0.246127 0.363010i −0.684479 0.729032i \(-0.739970\pi\)
0.930606 + 0.366022i \(0.119281\pi\)
\(740\) 5667.48 + 3410.01i 0.281542 + 0.169398i
\(741\) −7149.93 + 25751.7i −0.354466 + 1.27667i
\(742\) 22.8249 + 82.2078i 0.00112928 + 0.00406731i
\(743\) 20121.2 12106.5i 0.993506 0.597773i 0.0766782 0.997056i \(-0.475569\pi\)
0.916828 + 0.399283i \(0.130741\pi\)
\(744\) 37.7790 696.792i 0.00186162 0.0343355i
\(745\) −3851.07 + 1297.58i −0.189386 + 0.0638115i
\(746\) 1111.67 + 2096.83i 0.0545591 + 0.102909i
\(747\) 6521.30 + 7677.47i 0.319414 + 0.376043i
\(748\) −19733.1 29104.1i −0.964589 1.42266i
\(749\) 79.8213 + 1472.22i 0.00389400 + 0.0718206i
\(750\) −427.142 1072.05i −0.0207960 0.0521941i
\(751\) 14451.2 + 6685.82i 0.702171 + 0.324859i 0.738285 0.674489i \(-0.235636\pi\)
−0.0361143 + 0.999348i \(0.511498\pi\)
\(752\) −17506.3 + 3853.42i −0.848920 + 0.186861i
\(753\) 1105.84 2085.83i 0.0535178 0.100945i
\(754\) 437.326 2667.57i 0.0211227 0.128842i
\(755\) 12161.7 9245.06i 0.586237 0.445645i
\(756\) −231.567 + 107.134i −0.0111402 + 0.00515401i
\(757\) 13027.1 + 12339.9i 0.625467 + 0.592474i 0.933358 0.358948i \(-0.116864\pi\)
−0.307890 + 0.951422i \(0.599623\pi\)
\(758\) 116.368 + 709.815i 0.00557610 + 0.0340127i
\(759\) −24806.9 8358.43i −1.18634 0.399726i
\(760\) −1858.00 + 4663.22i −0.0886797 + 0.222569i
\(761\) 12253.0 11606.6i 0.583666 0.552877i −0.337859 0.941197i \(-0.609703\pi\)
0.921525 + 0.388319i \(0.126944\pi\)
\(762\) −1164.85 885.492i −0.0553778 0.0420971i
\(763\) −2417.16 532.056i −0.114688 0.0252447i
\(764\) 14490.9 17060.0i 0.686207 0.807865i
\(765\) 8919.88 + 970.095i 0.421567 + 0.0458482i
\(766\) 2291.94 0.108109
\(767\) −7279.83 + 31085.7i −0.342711 + 1.46342i
\(768\) 11302.9 0.531064
\(769\) 6006.75 + 653.274i 0.281676 + 0.0306341i 0.247867 0.968794i \(-0.420270\pi\)
0.0338096 + 0.999428i \(0.489236\pi\)
\(770\) −83.4626 + 98.2597i −0.00390621 + 0.00459875i
\(771\) 724.077