Properties

Label 225.4.u.a.4.14
Level $225$
Weight $4$
Character 225.4
Analytic conductor $13.275$
Analytic rank $0$
Dimension $704$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 225.u (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.2754297513\)
Analytic rank: \(0\)
Dimension: \(704\)
Relative dimension: \(88\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.14
Character \(\chi\) \(=\) 225.4
Dual form 225.4.u.a.169.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.849046 - 3.99445i) q^{2} +(0.343429 - 5.18479i) q^{3} +(-7.92637 + 3.52905i) q^{4} +(5.82974 + 9.54013i) q^{5} +(-21.0020 + 3.03032i) q^{6} +(-17.1647 + 9.91002i) q^{7} +(1.62379 + 2.23496i) q^{8} +(-26.7641 - 3.56121i) q^{9} +O(q^{10})\) \(q+(-0.849046 - 3.99445i) q^{2} +(0.343429 - 5.18479i) q^{3} +(-7.92637 + 3.52905i) q^{4} +(5.82974 + 9.54013i) q^{5} +(-21.0020 + 3.03032i) q^{6} +(-17.1647 + 9.91002i) q^{7} +(1.62379 + 2.23496i) q^{8} +(-26.7641 - 3.56121i) q^{9} +(33.1578 - 31.3866i) q^{10} +(-0.600903 + 0.127726i) q^{11} +(15.5752 + 42.3085i) q^{12} +(-8.91167 + 41.9261i) q^{13} +(54.1586 + 60.1493i) q^{14} +(51.4657 - 26.9496i) q^{15} +(-38.8969 + 43.1994i) q^{16} +(47.0031 + 64.6942i) q^{17} +(8.49889 + 109.931i) q^{18} +(32.5043 - 23.6157i) q^{19} +(-79.8762 - 55.0452i) q^{20} +(45.4865 + 92.3985i) q^{21} +(1.02039 + 2.29183i) q^{22} +(-87.9775 + 79.2153i) q^{23} +(12.1455 - 7.65148i) q^{24} +(-57.0283 + 111.233i) q^{25} +175.038 q^{26} +(-27.6557 + 137.543i) q^{27} +(101.080 - 139.125i) q^{28} +(-4.07461 + 38.7673i) q^{29} +(-151.346 - 182.696i) q^{30} +(-33.0037 - 314.009i) q^{31} +(224.722 + 129.744i) q^{32} +(0.455864 + 3.15942i) q^{33} +(218.510 - 242.680i) q^{34} +(-194.608 - 105.980i) q^{35} +(224.710 - 66.2243i) q^{36} +(219.193 - 71.2202i) q^{37} +(-121.929 - 109.786i) q^{38} +(214.318 + 60.6038i) q^{39} +(-11.8555 + 28.5205i) q^{40} +(64.7742 + 13.7682i) q^{41} +(330.461 - 260.144i) q^{42} +(-358.878 + 207.199i) q^{43} +(4.31222 - 3.13301i) q^{44} +(-122.053 - 276.094i) q^{45} +(391.118 + 284.164i) q^{46} +(-541.844 - 56.9501i) q^{47} +(210.621 + 216.508i) q^{48} +(24.9169 - 43.1574i) q^{49} +(492.734 + 133.355i) q^{50} +(351.568 - 221.483i) q^{51} +(-77.3220 - 363.771i) q^{52} +(-206.506 + 284.230i) q^{53} +(572.890 - 6.31138i) q^{54} +(-4.72163 - 4.98808i) q^{55} +(-50.0204 - 22.2705i) q^{56} +(-111.280 - 176.638i) q^{57} +(158.314 - 16.6394i) q^{58} +(-573.685 - 121.941i) q^{59} +(-312.830 + 395.237i) q^{60} +(463.520 - 98.5243i) q^{61} +(-1226.27 + 398.440i) q^{62} +(494.688 - 204.106i) q^{63} +(183.748 - 565.517i) q^{64} +(-451.933 + 159.400i) q^{65} +(12.2331 - 4.50342i) q^{66} +(760.743 - 79.9573i) q^{67} +(-600.873 - 346.914i) q^{68} +(380.501 + 483.350i) q^{69} +(-258.101 + 867.335i) q^{70} +(-23.7112 - 17.2272i) q^{71} +(-35.5002 - 65.5994i) q^{72} +(-467.947 - 152.045i) q^{73} +(-470.590 - 815.087i) q^{74} +(557.135 + 333.880i) q^{75} +(-174.300 + 301.896i) q^{76} +(9.04852 - 8.14732i) q^{77} +(60.1131 - 907.536i) q^{78} +(-34.2684 + 326.042i) q^{79} +(-638.886 - 119.240i) q^{80} +(703.636 + 190.625i) q^{81} -270.427i q^{82} +(-555.969 + 1248.73i) q^{83} +(-686.622 - 571.861i) q^{84} +(-343.176 + 825.566i) q^{85} +(1132.35 + 1257.60i) q^{86} +(199.601 + 34.4398i) q^{87} +(-1.26120 - 1.13559i) q^{88} +(-46.4679 + 143.013i) q^{89} +(-999.215 + 721.952i) q^{90} +(-262.523 - 807.962i) q^{91} +(417.788 - 938.366i) q^{92} +(-1639.41 + 63.2775i) q^{93} +(232.566 + 2212.72i) q^{94} +(414.789 + 172.422i) q^{95} +(749.869 - 1120.58i) q^{96} +(-221.975 - 23.3306i) q^{97} +(-193.546 - 62.8868i) q^{98} +(16.5375 - 1.27853i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 704 q - 5 q^{2} - 10 q^{3} - 347 q^{4} + 12 q^{5} + 10 q^{6} - 20 q^{8} - 38 q^{9} + O(q^{10}) \) \( 704 q - 5 q^{2} - 10 q^{3} - 347 q^{4} + 12 q^{5} + 10 q^{6} - 20 q^{8} - 38 q^{9} - 91 q^{11} + 150 q^{12} - 5 q^{13} + 61 q^{14} - 363 q^{15} + 1293 q^{16} - 20 q^{17} - 12 q^{19} + q^{20} - 135 q^{21} - 5 q^{22} - 5 q^{23} - 250 q^{24} + 284 q^{25} - 2496 q^{26} - 340 q^{27} - 660 q^{28} + 345 q^{29} + 56 q^{30} + 33 q^{31} + 790 q^{33} - 19 q^{34} - 736 q^{35} - 852 q^{36} - 20 q^{37} - 3015 q^{38} + 500 q^{39} - 49 q^{40} - 659 q^{41} - 1790 q^{42} - 1996 q^{44} - 1083 q^{45} + 20 q^{46} - 955 q^{47} - 6225 q^{48} + 14888 q^{49} - 563 q^{50} + 204 q^{51} - 45 q^{52} - 20 q^{53} - 17 q^{54} - 50 q^{55} - 590 q^{56} - 5 q^{58} + 915 q^{59} - 2153 q^{60} - 3 q^{61} + 4900 q^{62} + 2385 q^{63} + 9156 q^{64} + 456 q^{65} - 3514 q^{66} + 1525 q^{67} - 476 q^{69} + 1254 q^{70} + 2432 q^{71} - 5090 q^{72} - 20 q^{73} - 3830 q^{74} - 4343 q^{75} + 152 q^{76} - 715 q^{77} - 1330 q^{78} - 255 q^{79} + 4778 q^{80} + 786 q^{81} - 145 q^{83} - 5595 q^{84} + 699 q^{85} - 4551 q^{86} - 6260 q^{87} - 5 q^{88} + 116 q^{89} + 3097 q^{90} - 2070 q^{91} + 12395 q^{92} - 2455 q^{94} + 1687 q^{95} - 5225 q^{96} - 5 q^{97} - 3370 q^{98} - 30 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.849046 3.99445i −0.300183 1.41225i −0.826967 0.562251i \(-0.809936\pi\)
0.526784 0.849999i \(-0.323398\pi\)
\(3\) 0.343429 5.18479i 0.0660929 0.997813i
\(4\) −7.92637 + 3.52905i −0.990796 + 0.441131i
\(5\) 5.82974 + 9.54013i 0.521428 + 0.853296i
\(6\) −21.0020 + 3.03032i −1.42900 + 0.206187i
\(7\) −17.1647 + 9.91002i −0.926804 + 0.535091i −0.885799 0.464068i \(-0.846389\pi\)
−0.0410049 + 0.999159i \(0.513056\pi\)
\(8\) 1.62379 + 2.23496i 0.0717622 + 0.0987723i
\(9\) −26.7641 3.56121i −0.991263 0.131897i
\(10\) 33.1578 31.3866i 1.04854 0.992531i
\(11\) −0.600903 + 0.127726i −0.0164708 + 0.00350098i −0.216140 0.976362i \(-0.569347\pi\)
0.199669 + 0.979863i \(0.436013\pi\)
\(12\) 15.5752 + 42.3085i 0.374682 + 1.01778i
\(13\) −8.91167 + 41.9261i −0.190127 + 0.894478i 0.774850 + 0.632145i \(0.217825\pi\)
−0.964977 + 0.262333i \(0.915508\pi\)
\(14\) 54.1586 + 60.1493i 1.03389 + 1.14825i
\(15\) 51.4657 26.9496i 0.885892 0.463891i
\(16\) −38.8969 + 43.1994i −0.607764 + 0.674990i
\(17\) 47.0031 + 64.6942i 0.670584 + 0.922980i 0.999773 0.0212843i \(-0.00677550\pi\)
−0.329190 + 0.944264i \(0.606776\pi\)
\(18\) 8.49889 + 109.931i 0.111289 + 1.43951i
\(19\) 32.5043 23.6157i 0.392473 0.285148i −0.373995 0.927431i \(-0.622012\pi\)
0.766468 + 0.642282i \(0.222012\pi\)
\(20\) −79.8762 55.0452i −0.893043 0.615424i
\(21\) 45.4865 + 92.3985i 0.472666 + 0.960144i
\(22\) 1.02039 + 2.29183i 0.00988852 + 0.0222100i
\(23\) −87.9775 + 79.2153i −0.797591 + 0.718154i −0.963419 0.268001i \(-0.913637\pi\)
0.165828 + 0.986155i \(0.446970\pi\)
\(24\) 12.1455 7.65148i 0.103299 0.0650772i
\(25\) −57.0283 + 111.233i −0.456226 + 0.889864i
\(26\) 175.038 1.32030
\(27\) −27.6557 + 137.543i −0.197124 + 0.980379i
\(28\) 101.080 139.125i 0.682229 0.939007i
\(29\) −4.07461 + 38.7673i −0.0260909 + 0.248238i 0.973701 + 0.227830i \(0.0731632\pi\)
−0.999792 + 0.0204079i \(0.993504\pi\)
\(30\) −151.346 182.696i −0.921060 1.11185i
\(31\) −33.0037 314.009i −0.191214 1.81928i −0.497637 0.867386i \(-0.665799\pi\)
0.306422 0.951896i \(-0.400868\pi\)
\(32\) 224.722 + 129.744i 1.24143 + 0.716738i
\(33\) 0.455864 + 3.15942i 0.00240472 + 0.0166662i
\(34\) 218.510 242.680i 1.10218 1.22410i
\(35\) −194.608 105.980i −0.939852 0.511827i
\(36\) 224.710 66.2243i 1.04032 0.306594i
\(37\) 219.193 71.2202i 0.973923 0.316447i 0.221524 0.975155i \(-0.428897\pi\)
0.752399 + 0.658708i \(0.228897\pi\)
\(38\) −121.929 109.786i −0.520515 0.468674i
\(39\) 214.318 + 60.6038i 0.879956 + 0.248830i
\(40\) −11.8555 + 28.5205i −0.0468631 + 0.112737i
\(41\) 64.7742 + 13.7682i 0.246733 + 0.0524446i 0.329618 0.944114i \(-0.393080\pi\)
−0.0828852 + 0.996559i \(0.526413\pi\)
\(42\) 330.461 260.144i 1.21408 0.955741i
\(43\) −358.878 + 207.199i −1.27275 + 0.734825i −0.975506 0.219975i \(-0.929402\pi\)
−0.297249 + 0.954800i \(0.596069\pi\)
\(44\) 4.31222 3.13301i 0.0147748 0.0107345i
\(45\) −122.053 276.094i −0.404325 0.914615i
\(46\) 391.118 + 284.164i 1.25364 + 0.910820i
\(47\) −541.844 56.9501i −1.68162 0.176745i −0.784984 0.619516i \(-0.787329\pi\)
−0.896635 + 0.442771i \(0.853995\pi\)
\(48\) 210.621 + 216.508i 0.633345 + 0.651047i
\(49\) 24.9169 43.1574i 0.0726442 0.125823i
\(50\) 492.734 + 133.355i 1.39366 + 0.377184i
\(51\) 351.568 221.483i 0.965282 0.608115i
\(52\) −77.3220 363.771i −0.206204 0.970116i
\(53\) −206.506 + 284.230i −0.535202 + 0.736643i −0.987912 0.155015i \(-0.950457\pi\)
0.452710 + 0.891658i \(0.350457\pi\)
\(54\) 572.890 6.31138i 1.44371 0.0159050i
\(55\) −4.72163 4.98808i −0.0115757 0.0122290i
\(56\) −50.0204 22.2705i −0.119362 0.0531432i
\(57\) −111.280 176.638i −0.258585 0.410461i
\(58\) 158.314 16.6394i 0.358407 0.0376701i
\(59\) −573.685 121.941i −1.26589 0.269073i −0.474429 0.880294i \(-0.657345\pi\)
−0.791460 + 0.611221i \(0.790679\pi\)
\(60\) −312.830 + 395.237i −0.673102 + 0.850415i
\(61\) 463.520 98.5243i 0.972913 0.206799i 0.306080 0.952006i \(-0.400983\pi\)
0.666833 + 0.745207i \(0.267649\pi\)
\(62\) −1226.27 + 398.440i −2.51188 + 0.816160i
\(63\) 494.688 204.106i 0.989284 0.408173i
\(64\) 183.748 565.517i 0.358882 1.10453i
\(65\) −451.933 + 159.400i −0.862391 + 0.304171i
\(66\) 12.2331 4.50342i 0.0228150 0.00839898i
\(67\) 760.743 79.9573i 1.38716 0.145796i 0.618665 0.785655i \(-0.287674\pi\)
0.768492 + 0.639859i \(0.221007\pi\)
\(68\) −600.873 346.914i −1.07157 0.618669i
\(69\) 380.501 + 483.350i 0.663868 + 0.843311i
\(70\) −258.101 + 867.335i −0.440700 + 1.48095i
\(71\) −23.7112 17.2272i −0.0396339 0.0287957i 0.567792 0.823172i \(-0.307798\pi\)
−0.607426 + 0.794376i \(0.707798\pi\)
\(72\) −35.5002 65.5994i −0.0581076 0.107375i
\(73\) −467.947 152.045i −0.750260 0.243774i −0.0911671 0.995836i \(-0.529060\pi\)
−0.659093 + 0.752061i \(0.729060\pi\)
\(74\) −470.590 815.087i −0.739257 1.28043i
\(75\) 557.135 + 333.880i 0.857765 + 0.514043i
\(76\) −174.300 + 301.896i −0.263073 + 0.455656i
\(77\) 9.04852 8.14732i 0.0133919 0.0120581i
\(78\) 60.1131 907.536i 0.0872624 1.31741i
\(79\) −34.2684 + 326.042i −0.0488037 + 0.464336i 0.942641 + 0.333808i \(0.108334\pi\)
−0.991445 + 0.130528i \(0.958333\pi\)
\(80\) −638.886 119.240i −0.892871 0.166644i
\(81\) 703.636 + 190.625i 0.965207 + 0.261489i
\(82\) 270.427i 0.364191i
\(83\) −555.969 + 1248.73i −0.735247 + 1.65139i 0.0232621 + 0.999729i \(0.492595\pi\)
−0.758509 + 0.651662i \(0.774072\pi\)
\(84\) −686.622 571.861i −0.891864 0.742799i
\(85\) −343.176 + 825.566i −0.437913 + 1.05347i
\(86\) 1132.35 + 1257.60i 1.41982 + 1.57687i
\(87\) 199.601 + 34.4398i 0.245971 + 0.0424406i
\(88\) −1.26120 1.13559i −0.00152778 0.00137562i
\(89\) −46.4679 + 143.013i −0.0553436 + 0.170330i −0.974907 0.222610i \(-0.928542\pi\)
0.919564 + 0.392941i \(0.128542\pi\)
\(90\) −999.215 + 721.952i −1.17029 + 0.845561i
\(91\) −262.523 807.962i −0.302416 0.930741i
\(92\) 417.788 938.366i 0.473450 1.06339i
\(93\) −1639.41 + 63.2775i −1.82794 + 0.0705546i
\(94\) 232.566 + 2212.72i 0.255185 + 2.42792i
\(95\) 414.789 + 172.422i 0.447962 + 0.186211i
\(96\) 749.869 1120.58i 0.797221 1.19134i
\(97\) −221.975 23.3306i −0.232352 0.0244212i −0.0123634 0.999924i \(-0.503935\pi\)
−0.219989 + 0.975502i \(0.570602\pi\)
\(98\) −193.546 62.8868i −0.199501 0.0648217i
\(99\) 16.5375 1.27853i 0.0167887 0.00129795i
\(100\) 59.4810 1082.93i 0.0594810 1.08293i
\(101\) 758.989 + 1314.61i 0.747745 + 1.29513i 0.948901 + 0.315574i \(0.102197\pi\)
−0.201156 + 0.979559i \(0.564470\pi\)
\(102\) −1183.20 1216.27i −1.14857 1.18067i
\(103\) 166.990 + 375.065i 0.159748 + 0.358799i 0.975631 0.219417i \(-0.0704157\pi\)
−0.815884 + 0.578216i \(0.803749\pi\)
\(104\) −108.174 + 48.1621i −0.101994 + 0.0454104i
\(105\) −616.320 + 972.607i −0.572825 + 0.903969i
\(106\) 1310.68 + 583.551i 1.20098 + 0.534712i
\(107\) 573.744i 0.518373i −0.965827 0.259187i \(-0.916546\pi\)
0.965827 0.259187i \(-0.0834545\pi\)
\(108\) −266.187 1187.82i −0.237166 1.05831i
\(109\) −529.692 1630.22i −0.465461 1.43254i −0.858402 0.512978i \(-0.828542\pi\)
0.392941 0.919564i \(-0.371458\pi\)
\(110\) −15.9158 + 23.0954i −0.0137955 + 0.0200187i
\(111\) −293.985 1160.93i −0.251385 0.992708i
\(112\) 239.545 1126.97i 0.202097 0.950792i
\(113\) 22.3178 104.997i 0.0185795 0.0874097i −0.967881 0.251409i \(-0.919106\pi\)
0.986460 + 0.163999i \(0.0524395\pi\)
\(114\) −611.090 + 594.475i −0.502051 + 0.488401i
\(115\) −1268.61 377.513i −1.02868 0.306115i
\(116\) −104.515 321.663i −0.0836548 0.257463i
\(117\) 387.821 1090.38i 0.306445 0.861586i
\(118\) 2395.09i 1.86852i
\(119\) −1447.91 644.652i −1.11538 0.496598i
\(120\) 143.801 + 71.2632i 0.109393 + 0.0542117i
\(121\) −1215.58 + 541.213i −0.913286 + 0.406621i
\(122\) −787.100 1767.86i −0.584104 1.31192i
\(123\) 93.6305 331.112i 0.0686372 0.242727i
\(124\) 1369.75 + 2372.48i 0.991995 + 1.71819i
\(125\) −1393.64 + 104.401i −0.997206 + 0.0747036i
\(126\) −1235.30 1802.71i −0.873409 1.27459i
\(127\) 583.582 + 189.617i 0.407752 + 0.132487i 0.505710 0.862704i \(-0.331231\pi\)
−0.0979570 + 0.995191i \(0.531231\pi\)
\(128\) −350.414 36.8300i −0.241973 0.0254323i
\(129\) 951.032 + 1931.87i 0.649099 + 1.31854i
\(130\) 1020.43 + 1669.89i 0.688441 + 1.12661i
\(131\) 127.217 + 1210.39i 0.0848472 + 0.807267i 0.951354 + 0.308101i \(0.0996936\pi\)
−0.866506 + 0.499166i \(0.833640\pi\)
\(132\) −14.7631 23.4339i −0.00973456 0.0154520i
\(133\) −323.892 + 727.474i −0.211166 + 0.474286i
\(134\) −965.291 2970.86i −0.622302 1.91525i
\(135\) −1473.41 + 538.002i −0.939338 + 0.342992i
\(136\) −68.2657 + 210.100i −0.0430422 + 0.132470i
\(137\) 243.897 + 219.606i 0.152099 + 0.136950i 0.741667 0.670768i \(-0.234035\pi\)
−0.589568 + 0.807718i \(0.700702\pi\)
\(138\) 1607.65 1930.28i 0.991685 1.19070i
\(139\) −416.010 462.026i −0.253852 0.281932i 0.602726 0.797948i \(-0.294081\pi\)
−0.856579 + 0.516016i \(0.827414\pi\)
\(140\) 1916.55 + 153.257i 1.15698 + 0.0925184i
\(141\) −481.359 + 2789.79i −0.287502 + 1.66626i
\(142\) −48.6813 + 109.340i −0.0287693 + 0.0646169i
\(143\) 26.3318i 0.0153984i
\(144\) 1194.88 1017.67i 0.691483 0.588931i
\(145\) −393.599 + 187.131i −0.225425 + 0.107175i
\(146\) −210.028 + 1998.28i −0.119055 + 1.13273i
\(147\) −215.205 144.011i −0.120747 0.0808013i
\(148\) −1486.07 + 1338.06i −0.825364 + 0.743161i
\(149\) −488.502 + 846.110i −0.268588 + 0.465209i −0.968497 0.249023i \(-0.919890\pi\)
0.699909 + 0.714232i \(0.253224\pi\)
\(150\) 860.635 2508.92i 0.468470 1.36569i
\(151\) −1333.86 2310.32i −0.718863 1.24511i −0.961451 0.274977i \(-0.911330\pi\)
0.242588 0.970129i \(-0.422004\pi\)
\(152\) 105.560 + 34.2987i 0.0563295 + 0.0183026i
\(153\) −1027.61 1898.87i −0.542987 1.00336i
\(154\) −40.2267 29.2264i −0.0210491 0.0152930i
\(155\) 2803.29 2145.45i 1.45268 1.11179i
\(156\) −1912.63 + 275.969i −0.981623 + 0.141636i
\(157\) 1346.11 + 777.177i 0.684276 + 0.395067i 0.801464 0.598043i \(-0.204055\pi\)
−0.117188 + 0.993110i \(0.537388\pi\)
\(158\) 1331.45 139.941i 0.670409 0.0704629i
\(159\) 1402.76 + 1168.30i 0.699659 + 0.582719i
\(160\) 72.3020 + 2900.25i 0.0357249 + 1.43303i
\(161\) 725.079 2231.56i 0.354933 1.09237i
\(162\) 164.024 2972.48i 0.0795489 1.44161i
\(163\) −53.4680 + 17.3728i −0.0256928 + 0.00834811i −0.321835 0.946796i \(-0.604300\pi\)
0.296142 + 0.955144i \(0.404300\pi\)
\(164\) −562.013 + 119.460i −0.267597 + 0.0568794i
\(165\) −27.4837 + 22.7676i −0.0129673 + 0.0107421i
\(166\) 5460.01 + 1160.56i 2.55289 + 0.542633i
\(167\) −34.7325 + 3.65053i −0.0160939 + 0.00169154i −0.112572 0.993644i \(-0.535909\pi\)
0.0964781 + 0.995335i \(0.469242\pi\)
\(168\) −132.646 + 251.697i −0.0609160 + 0.115588i
\(169\) 328.679 + 146.337i 0.149603 + 0.0666078i
\(170\) 3589.05 + 669.854i 1.61922 + 0.302208i
\(171\) −954.048 + 516.300i −0.426654 + 0.230891i
\(172\) 2113.39 2908.83i 0.936886 1.28951i
\(173\) −182.941 860.668i −0.0803972 0.378239i 0.919492 0.393108i \(-0.128600\pi\)
−0.999889 + 0.0148690i \(0.995267\pi\)
\(174\) −31.9025 826.537i −0.0138996 0.360113i
\(175\) −123.450 2474.43i −0.0533252 1.06885i
\(176\) 17.8556 30.9267i 0.00764724 0.0132454i
\(177\) −829.256 + 2932.56i −0.352151 + 1.24534i
\(178\) 610.713 + 64.1885i 0.257162 + 0.0270288i
\(179\) 3145.78 + 2285.54i 1.31356 + 0.954355i 0.999989 + 0.00478908i \(0.00152442\pi\)
0.313568 + 0.949566i \(0.398476\pi\)
\(180\) 1941.79 + 1757.69i 0.804069 + 0.727837i
\(181\) −1851.48 + 1345.18i −0.760329 + 0.552412i −0.899011 0.437925i \(-0.855713\pi\)
0.138682 + 0.990337i \(0.455713\pi\)
\(182\) −3004.47 + 1734.63i −1.22366 + 0.706480i
\(183\) −351.642 2437.09i −0.142044 0.984453i
\(184\) −319.901 67.9970i −0.128171 0.0272435i
\(185\) 1957.29 + 1675.94i 0.777853 + 0.666040i
\(186\) 1644.69 + 6494.80i 0.648358 + 2.56033i
\(187\) −36.5074 32.8714i −0.0142764 0.0128545i
\(188\) 4495.83 1460.78i 1.74411 0.566695i
\(189\) −888.356 2634.95i −0.341896 1.01410i
\(190\) 336.554 1803.25i 0.128506 0.688532i
\(191\) 2118.40 2352.72i 0.802524 0.891294i −0.193434 0.981113i \(-0.561962\pi\)
0.995958 + 0.0898198i \(0.0286291\pi\)
\(192\) −2868.98 1146.91i −1.07839 0.431099i
\(193\) 2758.44 + 1592.59i 1.02879 + 0.593974i 0.916639 0.399717i \(-0.130892\pi\)
0.112154 + 0.993691i \(0.464225\pi\)
\(194\) 95.2746 + 906.478i 0.0352594 + 0.335471i
\(195\) 671.247 + 2397.92i 0.246508 + 0.880609i
\(196\) −45.1963 + 430.014i −0.0164710 + 0.156711i
\(197\) −371.721 + 511.630i −0.134437 + 0.185036i −0.870928 0.491411i \(-0.836481\pi\)
0.736491 + 0.676447i \(0.236481\pi\)
\(198\) −19.1481 64.9726i −0.00687270 0.0233202i
\(199\) −4899.63 −1.74536 −0.872678 0.488296i \(-0.837619\pi\)
−0.872678 + 0.488296i \(0.837619\pi\)
\(200\) −341.204 + 53.1634i −0.120634 + 0.0187961i
\(201\) −153.301 3971.75i −0.0537961 1.39376i
\(202\) 4606.72 4147.91i 1.60459 1.44478i
\(203\) −314.246 705.807i −0.108649 0.244029i
\(204\) −2005.03 + 2996.26i −0.688139 + 1.02833i
\(205\) 246.266 + 698.220i 0.0839024 + 0.237882i
\(206\) 1356.40 985.480i 0.458760 0.333309i
\(207\) 2636.74 1806.82i 0.885345 0.606680i
\(208\) −1464.54 2015.77i −0.488211 0.671965i
\(209\) −16.5156 + 18.3424i −0.00546605 + 0.00607067i
\(210\) 4408.31 + 1636.07i 1.44858 + 0.537617i
\(211\) −2946.50 3272.42i −0.961353 1.06769i −0.997661 0.0683495i \(-0.978227\pi\)
0.0363089 0.999341i \(-0.488440\pi\)
\(212\) 633.776 2981.68i 0.205320 0.965956i
\(213\) −97.4626 + 117.021i −0.0313523 + 0.0376440i
\(214\) −2291.79 + 487.135i −0.732073 + 0.155607i
\(215\) −4068.87 2215.83i −1.29067 0.702878i
\(216\) −352.311 + 161.533i −0.110980 + 0.0508838i
\(217\) 3678.33 + 5062.79i 1.15070 + 1.58380i
\(218\) −6062.11 + 3499.96i −1.88338 + 1.08737i
\(219\) −949.028 + 2373.99i −0.292828 + 0.732508i
\(220\) 55.0285 + 22.8745i 0.0168637 + 0.00701001i
\(221\) −3131.25 + 1394.12i −0.953081 + 0.424339i
\(222\) −4387.67 + 2159.99i −1.32649 + 0.653013i
\(223\) −628.060 2954.79i −0.188601 0.887298i −0.966051 0.258353i \(-0.916820\pi\)
0.777450 0.628945i \(-0.216513\pi\)
\(224\) −5143.04 −1.53408
\(225\) 1922.44 2773.96i 0.569611 0.821915i
\(226\) −438.354 −0.129022
\(227\) 604.160 + 2842.35i 0.176650 + 0.831073i 0.973820 + 0.227318i \(0.0729958\pi\)
−0.797171 + 0.603754i \(0.793671\pi\)
\(228\) 1505.41 + 1007.39i 0.437272 + 0.292613i
\(229\) 21.4525 9.55125i 0.00619047 0.00275618i −0.403639 0.914918i \(-0.632255\pi\)
0.409830 + 0.912162i \(0.365588\pi\)
\(230\) −430.846 + 5387.92i −0.123518 + 1.54465i
\(231\) −39.1347 49.7127i −0.0111466 0.0141596i
\(232\) −93.2598 + 53.8436i −0.0263914 + 0.0152371i
\(233\) −596.746 821.351i −0.167786 0.230938i 0.716841 0.697236i \(-0.245587\pi\)
−0.884627 + 0.466299i \(0.845587\pi\)
\(234\) −4684.74 623.347i −1.30876 0.174143i
\(235\) −2615.50 5501.27i −0.726026 1.52708i
\(236\) 4977.57 1058.02i 1.37293 0.291826i
\(237\) 1678.69 + 289.646i 0.460096 + 0.0793863i
\(238\) −1345.69 + 6330.95i −0.366503 + 1.72426i
\(239\) −3353.71 3724.67i −0.907672 1.00807i −0.999924 0.0123358i \(-0.996073\pi\)
0.0922522 0.995736i \(-0.470593\pi\)
\(240\) −837.649 + 3271.54i −0.225292 + 0.879904i
\(241\) 3246.32 3605.41i 0.867694 0.963671i −0.131926 0.991260i \(-0.542116\pi\)
0.999619 + 0.0275882i \(0.00878270\pi\)
\(242\) 3193.93 + 4396.07i 0.848404 + 1.16773i
\(243\) 1230.00 3582.74i 0.324710 0.945814i
\(244\) −3326.33 + 2416.72i −0.872733 + 0.634077i
\(245\) 556.987 13.8854i 0.145243 0.00362085i
\(246\) −1402.11 92.8724i −0.363395 0.0240704i
\(247\) 700.448 + 1573.23i 0.180439 + 0.405273i
\(248\) 648.207 583.648i 0.165973 0.149442i
\(249\) 6283.45 + 3311.43i 1.59919 + 0.842785i
\(250\) 1600.29 + 5478.17i 0.404844 + 1.38588i
\(251\) 5115.79 1.28648 0.643239 0.765665i \(-0.277590\pi\)
0.643239 + 0.765665i \(0.277590\pi\)
\(252\) −3200.78 + 3363.60i −0.800121 + 0.840820i
\(253\) 42.7481 58.8377i 0.0106227 0.0146209i
\(254\) 261.928 2492.08i 0.0647042 0.615619i
\(255\) 4162.53 + 2062.82i 1.02223 + 0.506583i
\(256\) −346.836 3299.92i −0.0846766 0.805644i
\(257\) 737.738 + 425.933i 0.179062 + 0.103381i 0.586852 0.809694i \(-0.300367\pi\)
−0.407790 + 0.913076i \(0.633700\pi\)
\(258\) 6909.27 5439.09i 1.66726 1.31249i
\(259\) −3056.58 + 3394.68i −0.733308 + 0.814421i
\(260\) 3019.66 2858.35i 0.720275 0.681798i
\(261\) 247.112 1023.06i 0.0586048 0.242628i
\(262\) 4726.81 1535.84i 1.11459 0.362153i
\(263\) −2871.43 2585.45i −0.673232 0.606181i 0.259934 0.965626i \(-0.416299\pi\)
−0.933166 + 0.359445i \(0.882966\pi\)
\(264\) −6.32095 + 6.14909i −0.00147359 + 0.00143352i
\(265\) −3915.47 313.101i −0.907643 0.0725798i
\(266\) 3180.86 + 676.112i 0.733198 + 0.155846i
\(267\) 725.536 + 290.041i 0.166300 + 0.0664802i
\(268\) −5747.75 + 3318.47i −1.31007 + 0.756372i
\(269\) −2682.57 + 1949.00i −0.608026 + 0.441757i −0.848719 0.528845i \(-0.822625\pi\)
0.240693 + 0.970601i \(0.422625\pi\)
\(270\) 3400.01 + 5428.66i 0.766364 + 1.22362i
\(271\) 4809.36 + 3494.20i 1.07804 + 0.783239i 0.977339 0.211679i \(-0.0678930\pi\)
0.100696 + 0.994917i \(0.467893\pi\)
\(272\) −4623.02 485.899i −1.03056 0.108316i
\(273\) −4279.27 + 1083.65i −0.948693 + 0.240240i
\(274\) 670.123 1160.69i 0.147751 0.255911i
\(275\) 20.0611 74.1242i 0.00439903 0.0162540i
\(276\) −4721.75 2488.40i −1.02977 0.542697i
\(277\) −557.206 2621.45i −0.120864 0.568619i −0.996349 0.0853744i \(-0.972791\pi\)
0.875485 0.483245i \(-0.160542\pi\)
\(278\) −1492.33 + 2054.01i −0.321956 + 0.443134i
\(279\) −234.938 + 8521.71i −0.0504136 + 1.82861i
\(280\) −79.1421 607.032i −0.0168916 0.129561i
\(281\) −1726.90 768.867i −0.366614 0.163227i 0.215158 0.976579i \(-0.430973\pi\)
−0.581771 + 0.813352i \(0.697640\pi\)
\(282\) 11552.4 445.896i 2.43948 0.0941586i
\(283\) −3247.18 + 341.292i −0.682066 + 0.0716880i −0.439223 0.898378i \(-0.644746\pi\)
−0.242842 + 0.970066i \(0.578080\pi\)
\(284\) 248.740 + 52.8712i 0.0519717 + 0.0110469i
\(285\) 1036.42 2091.38i 0.215411 0.434676i
\(286\) −105.181 + 22.3569i −0.0217464 + 0.00462234i
\(287\) −1248.27 + 405.588i −0.256735 + 0.0834184i
\(288\) −5552.45 4272.75i −1.13605 0.874217i
\(289\) −457.850 + 1409.12i −0.0931915 + 0.286814i
\(290\) 1081.67 + 1413.33i 0.219027 + 0.286185i
\(291\) −197.197 + 1142.88i −0.0397247 + 0.230230i
\(292\) 4245.69 446.240i 0.850891 0.0894323i
\(293\) −3365.10 1942.84i −0.670961 0.387379i 0.125480 0.992096i \(-0.459953\pi\)
−0.796440 + 0.604717i \(0.793286\pi\)
\(294\) −392.524 + 981.897i −0.0778655 + 0.194780i
\(295\) −2181.10 6183.91i −0.430471 1.22048i
\(296\) 515.099 + 374.241i 0.101147 + 0.0734876i
\(297\) −0.949449 86.1825i −0.000185497 0.0168378i
\(298\) 3794.50 + 1232.91i 0.737617 + 0.239666i
\(299\) −2537.16 4394.50i −0.490729 0.849967i
\(300\) −5594.33 680.305i −1.07663 0.130925i
\(301\) 4106.68 7112.98i 0.786396 1.36208i
\(302\) −8095.94 + 7289.62i −1.54261 + 1.38897i
\(303\) 7076.63 3483.73i 1.34172 0.660511i
\(304\) −244.130 + 2322.74i −0.0460586 + 0.438218i
\(305\) 3642.14 + 3847.67i 0.683764 + 0.722351i
\(306\) −6712.46 + 5716.95i −1.25401 + 1.06803i
\(307\) 227.579i 0.0423082i −0.999776 0.0211541i \(-0.993266\pi\)
0.999776 0.0211541i \(-0.00673407\pi\)
\(308\) −42.9696 + 96.5113i −0.00794942 + 0.0178547i
\(309\) 2001.98 736.999i 0.368572 0.135684i
\(310\) −10950.0 9376.00i −2.00619 1.71781i
\(311\) 2484.33 + 2759.12i 0.452968 + 0.503072i 0.925765 0.378099i \(-0.123422\pi\)
−0.472797 + 0.881172i \(0.656756\pi\)
\(312\) 212.561 + 577.399i 0.0385701 + 0.104772i
\(313\) −4919.50 4429.53i −0.888391 0.799911i 0.0922480 0.995736i \(-0.470595\pi\)
−0.980639 + 0.195825i \(0.937261\pi\)
\(314\) 1961.48 6036.82i 0.352525 1.08496i
\(315\) 4831.10 + 3529.51i 0.864133 + 0.631319i
\(316\) −878.993 2705.26i −0.156479 0.481591i
\(317\) −1175.85 + 2641.00i −0.208335 + 0.467928i −0.987245 0.159207i \(-0.949106\pi\)
0.778910 + 0.627136i \(0.215773\pi\)
\(318\) 3475.71 6595.17i 0.612919 1.16302i
\(319\) −2.50314 23.8158i −0.000439339 0.00418003i
\(320\) 6466.31 1543.84i 1.12962 0.269698i
\(321\) −2974.74 197.040i −0.517240 0.0342608i
\(322\) −9529.49 1001.59i −1.64925 0.173343i
\(323\) 3055.60 + 992.826i 0.526372 + 0.171029i
\(324\) −6250.00 + 972.196i −1.07167 + 0.166700i
\(325\) −4155.35 3382.25i −0.709222 0.577272i
\(326\) 114.791 + 198.825i 0.0195022 + 0.0337788i
\(327\) −8634.28 + 2186.47i −1.46017 + 0.369762i
\(328\) 74.4087 + 167.125i 0.0125260 + 0.0281339i
\(329\) 9864.94 4392.15i 1.65311 0.736010i
\(330\) 114.279 + 90.4515i 0.0190632 + 0.0150885i
\(331\) −1123.12 500.046i −0.186502 0.0830362i 0.311361 0.950292i \(-0.399215\pi\)
−0.497863 + 0.867256i \(0.665882\pi\)
\(332\) 11859.9i 1.96053i
\(333\) −6120.14 + 1125.55i −1.00715 + 0.185225i
\(334\) 44.0714 + 135.638i 0.00721999 + 0.0222209i
\(335\) 5197.74 + 6791.46i 0.847709 + 1.10763i
\(336\) −5760.84 1629.02i −0.935356 0.264496i
\(337\) 1232.52 5798.55i 0.199227 0.937291i −0.758957 0.651141i \(-0.774291\pi\)
0.958185 0.286151i \(-0.0923758\pi\)
\(338\) 305.473 1437.14i 0.0491584 0.231272i
\(339\) −536.723 151.772i −0.0859906 0.0243160i
\(340\) −193.324 7754.82i −0.0308367 1.23695i
\(341\) 59.9391 + 184.474i 0.00951872 + 0.0292956i
\(342\) 2872.36 + 3372.53i 0.454151 + 0.533233i
\(343\) 5810.56i 0.914697i
\(344\) −1045.83 465.632i −0.163916 0.0729801i
\(345\) −2393.00 + 6447.83i −0.373435 + 1.00620i
\(346\) −3282.57 + 1461.49i −0.510034 + 0.227082i
\(347\) 4701.79 + 10560.4i 0.727392 + 1.63375i 0.772695 + 0.634777i \(0.218908\pi\)
−0.0453030 + 0.998973i \(0.514425\pi\)
\(348\) −1703.65 + 431.419i −0.262429 + 0.0664554i
\(349\) −1931.67 3345.76i −0.296276 0.513164i 0.679005 0.734133i \(-0.262411\pi\)
−0.975281 + 0.220969i \(0.929078\pi\)
\(350\) −9779.15 + 2594.02i −1.49348 + 0.396160i
\(351\) −5520.20 2385.24i −0.839448 0.362719i
\(352\) −151.608 49.2604i −0.0229566 0.00745905i
\(353\) −8328.24 875.333i −1.25572 0.131981i −0.546793 0.837268i \(-0.684152\pi\)
−0.708922 + 0.705287i \(0.750818\pi\)
\(354\) 12418.0 + 822.542i 1.86444 + 0.123496i
\(355\) 26.1197 326.638i 0.00390504 0.0488343i
\(356\) −136.379 1297.56i −0.0203036 0.193176i
\(357\) −3839.64 + 7285.73i −0.569231 + 1.08012i
\(358\) 6458.57 14506.2i 0.953480 2.14155i
\(359\) −642.177 1976.42i −0.0944090 0.290561i 0.892690 0.450671i \(-0.148815\pi\)
−0.987099 + 0.160110i \(0.948815\pi\)
\(360\) 418.870 721.105i 0.0613233 0.105571i
\(361\) −1620.72 + 4988.07i −0.236291 + 0.727230i
\(362\) 6945.25 + 6253.53i 1.00838 + 0.907951i
\(363\) 2388.61 + 6488.42i 0.345371 + 0.938164i
\(364\) 4932.19 + 5477.75i 0.710211 + 0.788769i
\(365\) −1277.48 5350.66i −0.183195 0.767304i
\(366\) −9436.27 + 3473.82i −1.34766 + 0.496118i
\(367\) 3687.39 8282.02i 0.524469 1.17798i −0.436090 0.899903i \(-0.643637\pi\)
0.960560 0.278074i \(-0.0896962\pi\)
\(368\) 6881.80i 0.974833i
\(369\) −1684.59 599.168i −0.237660 0.0845297i
\(370\) 5032.62 9241.24i 0.707117 1.29846i
\(371\) 727.867 6925.19i 0.101857 0.969105i
\(372\) 12771.2 6287.10i 1.77999 0.876266i
\(373\) −5157.03 + 4643.41i −0.715873 + 0.644575i −0.944338 0.328977i \(-0.893296\pi\)
0.228465 + 0.973552i \(0.426629\pi\)
\(374\) −100.307 + 173.736i −0.0138683 + 0.0240206i
\(375\) 62.6846 + 7261.57i 0.00863205 + 0.999963i
\(376\) −752.562 1303.48i −0.103219 0.178781i
\(377\) −1589.05 516.314i −0.217083 0.0705345i
\(378\) −9770.92 + 5785.69i −1.32953 + 0.787258i
\(379\) 10490.5 + 7621.81i 1.42180 + 1.03300i 0.991471 + 0.130325i \(0.0416020\pi\)
0.430328 + 0.902673i \(0.358398\pi\)
\(380\) −3896.25 + 97.1318i −0.525983 + 0.0131125i
\(381\) 1183.55 2960.63i 0.159147 0.398104i
\(382\) −11196.4 6464.27i −1.49963 0.865814i
\(383\) 11082.0 1164.77i 1.47850 0.155396i 0.669326 0.742969i \(-0.266583\pi\)
0.809171 + 0.587573i \(0.199916\pi\)
\(384\) −311.298 + 1804.17i −0.0413694 + 0.239763i
\(385\) 130.477 + 38.8273i 0.0172720 + 0.00513980i
\(386\) 4019.46 12370.6i 0.530014 1.63121i
\(387\) 10342.9 4267.44i 1.35856 0.560533i
\(388\) 1841.79 598.435i 0.240987 0.0783013i
\(389\) 4827.37 1026.09i 0.629196 0.133740i 0.117733 0.993045i \(-0.462437\pi\)
0.511463 + 0.859306i \(0.329104\pi\)
\(390\) 9008.45 4717.21i 1.16964 0.612475i
\(391\) −9259.99 1968.27i −1.19769 0.254577i
\(392\) 136.915 14.3904i 0.0176410 0.00185414i
\(393\) 6319.29 243.911i 0.811110 0.0313071i
\(394\) 2359.29 + 1050.42i 0.301673 + 0.134313i
\(395\) −3310.26 + 1573.81i −0.421664 + 0.200474i
\(396\) −126.570 + 68.4956i −0.0160616 + 0.00869200i
\(397\) −3970.84 + 5465.40i −0.501992 + 0.690933i −0.982543 0.186034i \(-0.940437\pi\)
0.480551 + 0.876967i \(0.340437\pi\)
\(398\) 4160.01 + 19571.3i 0.523926 + 2.46488i
\(399\) 3660.57 + 1929.15i 0.459292 + 0.242051i
\(400\) −2586.97 6790.20i −0.323371 0.848775i
\(401\) −2996.23 + 5189.63i −0.373129 + 0.646279i −0.990045 0.140750i \(-0.955048\pi\)
0.616916 + 0.787029i \(0.288382\pi\)
\(402\) −15734.8 + 3984.55i −1.95219 + 0.494357i
\(403\) 13459.3 + 1414.63i 1.66366 + 0.174858i
\(404\) −10655.3 7741.56i −1.31219 0.953359i
\(405\) 2283.42 + 7824.07i 0.280158 + 0.959954i
\(406\) −2552.50 + 1854.50i −0.312016 + 0.226693i
\(407\) −122.617 + 70.7930i −0.0149334 + 0.00862182i
\(408\) 1065.88 + 426.098i 0.129336 + 0.0517034i
\(409\) 10071.8 + 2140.82i 1.21765 + 0.258819i 0.771552 0.636166i \(-0.219481\pi\)
0.446096 + 0.894985i \(0.352814\pi\)
\(410\) 2579.91 1576.52i 0.310763 0.189899i
\(411\) 1222.37 1189.13i 0.146703 0.142715i
\(412\) −2647.24 2383.59i −0.316554 0.285027i
\(413\) 11055.5 3592.16i 1.31721 0.427987i
\(414\) −9455.97 8998.26i −1.12255 1.06821i
\(415\) −15154.2 + 1975.73i −1.79250 + 0.233698i
\(416\) −7442.29 + 8265.50i −0.877136 + 0.974158i
\(417\) −2538.38 + 1998.25i −0.298093 + 0.234664i
\(418\) 87.2902 + 50.3970i 0.0102141 + 0.00589712i
\(419\) 468.165 + 4454.30i 0.0545856 + 0.519348i 0.987315 + 0.158771i \(0.0507533\pi\)
−0.932730 + 0.360576i \(0.882580\pi\)
\(420\) 1452.80 9884.26i 0.168784 1.14834i
\(421\) −1404.90 + 13366.7i −0.162638 + 1.54739i 0.543554 + 0.839374i \(0.317078\pi\)
−0.706192 + 0.708020i \(0.749589\pi\)
\(422\) −10569.8 + 14548.1i −1.21926 + 1.67817i
\(423\) 14299.2 + 3453.84i 1.64361 + 0.397001i
\(424\) −970.566 −0.111167
\(425\) −9876.64 + 1538.89i −1.12726 + 0.175641i
\(426\) 550.186 + 289.953i 0.0625742 + 0.0329771i
\(427\) −6979.79 + 6284.63i −0.791044 + 0.712259i
\(428\) 2024.77 + 4547.71i 0.228670 + 0.513602i
\(429\) −136.525 9.04308i −0.0153647 0.00101772i
\(430\) −5396.38 + 18134.2i −0.605201 + 2.03374i
\(431\) 13540.6 9837.80i 1.51329 1.09947i 0.548594 0.836089i \(-0.315163\pi\)
0.964693 0.263378i \(-0.0848367\pi\)
\(432\) −4866.06 6544.71i −0.541941 0.728895i
\(433\) 1607.28 + 2212.23i 0.178385 + 0.245526i 0.888841 0.458216i \(-0.151511\pi\)
−0.710456 + 0.703742i \(0.751511\pi\)
\(434\) 17100.0 18991.5i 1.89130 2.10050i
\(435\) 835.062 + 2105.00i 0.0920417 + 0.232016i
\(436\) 9951.66 + 11052.4i 1.09311 + 1.21403i
\(437\) −988.917 + 4652.49i −0.108252 + 0.509288i
\(438\) 10288.5 + 1775.22i 1.12239 + 0.193660i
\(439\) 10186.2 2165.15i 1.10743 0.235391i 0.382323 0.924029i \(-0.375124\pi\)
0.725106 + 0.688637i \(0.241791\pi\)
\(440\) 3.48122 18.6523i 0.000377184 0.00202094i
\(441\) −820.573 + 1066.34i −0.0886052 + 0.115143i
\(442\) 8227.33 + 11323.9i 0.885372 + 1.21861i
\(443\) −12832.7 + 7408.97i −1.37630 + 0.794607i −0.991712 0.128481i \(-0.958990\pi\)
−0.384588 + 0.923088i \(0.625656\pi\)
\(444\) 6427.21 + 8164.47i 0.686986 + 0.872677i
\(445\) −1635.26 + 390.421i −0.174200 + 0.0415904i
\(446\) −11269.5 + 5017.51i −1.19647 + 0.532704i
\(447\) 4219.14 + 2823.36i 0.446440 + 0.298748i
\(448\) 2450.32 + 11527.8i 0.258408 + 1.21571i
\(449\) 15119.1 1.58912 0.794561 0.607184i \(-0.207701\pi\)
0.794561 + 0.607184i \(0.207701\pi\)
\(450\) −12712.7 5323.85i −1.33174 0.557708i
\(451\) −40.6816 −0.00424749
\(452\) 193.640 + 911.006i 0.0201506 + 0.0948011i
\(453\) −12436.6 + 6122.37i −1.28990 + 0.634998i
\(454\) 10840.7 4826.57i 1.12066 0.498948i
\(455\) 6177.63 7214.71i 0.636509 0.743364i
\(456\) 214.084 535.530i 0.0219855 0.0549967i
\(457\) 7181.87 4146.45i 0.735128 0.424426i −0.0851671 0.996367i \(-0.527142\pi\)
0.820295 + 0.571940i \(0.193809\pi\)
\(458\) −56.3661 77.5813i −0.00575069 0.00791514i
\(459\) −10198.2 + 4675.80i −1.03706 + 0.475485i
\(460\) 11387.7 1484.68i 1.15425 0.150486i
\(461\) 6909.42 1468.64i 0.698056 0.148376i 0.154803 0.987945i \(-0.450526\pi\)
0.543253 + 0.839569i \(0.317192\pi\)
\(462\) −165.348 + 198.530i −0.0166508 + 0.0199923i
\(463\) −3015.95 + 14188.9i −0.302728 + 1.42422i 0.519209 + 0.854647i \(0.326227\pi\)
−0.821938 + 0.569578i \(0.807107\pi\)
\(464\) −1516.23 1683.95i −0.151701 0.168481i
\(465\) −10161.0 15271.3i −1.01334 1.52298i
\(466\) −2774.18 + 3081.04i −0.275775 + 0.306280i
\(467\) −2160.96 2974.30i −0.214127 0.294720i 0.688420 0.725312i \(-0.258305\pi\)
−0.902547 + 0.430592i \(0.858305\pi\)
\(468\) 773.988 + 10011.4i 0.0764479 + 0.988838i
\(469\) −12265.5 + 8911.42i −1.20761 + 0.877380i
\(470\) −19753.8 + 15118.3i −1.93867 + 1.48373i
\(471\) 4491.79 6712.39i 0.439429 0.656668i
\(472\) −659.014 1480.17i −0.0642661 0.144344i
\(473\) 189.186 170.344i 0.0183907 0.0165591i
\(474\) −268.308 6951.36i −0.0259995 0.673601i
\(475\) 773.185 + 4962.31i 0.0746866 + 0.479340i
\(476\) 13751.7 1.32418
\(477\) 6539.14 6871.77i 0.627687 0.659615i
\(478\) −12030.6 + 16558.6i −1.15118 + 1.58447i
\(479\) 114.958 1093.75i 0.0109657 0.104331i −0.987670 0.156550i \(-0.949963\pi\)
0.998636 + 0.0522188i \(0.0166293\pi\)
\(480\) 15062.0 + 621.158i 1.43226 + 0.0590664i
\(481\) 1032.61 + 9824.61i 0.0978854 + 0.931317i
\(482\) −17157.9 9906.12i −1.62141 0.936123i
\(483\) −11321.2 4525.76i −1.06652 0.426355i
\(484\) 7725.20 8579.70i 0.725507 0.805757i
\(485\) −1071.48 2253.69i −0.100316 0.210999i
\(486\) −15355.4 1871.27i −1.43320 0.174655i
\(487\) −5749.15 + 1868.01i −0.534947 + 0.173815i −0.564018 0.825763i \(-0.690745\pi\)
0.0290711 + 0.999577i \(0.490745\pi\)
\(488\) 972.859 + 875.967i 0.0902444 + 0.0812564i
\(489\) 71.7119 + 283.186i 0.00663174 + 0.0261884i
\(490\) −528.372 2213.06i −0.0487131 0.204033i
\(491\) 13507.5 + 2871.10i 1.24152 + 0.263892i 0.781436 0.623986i \(-0.214488\pi\)
0.460079 + 0.887878i \(0.347821\pi\)
\(492\) 426.361 + 2954.94i 0.0390688 + 0.270771i
\(493\) −2699.54 + 1558.58i −0.246615 + 0.142383i
\(494\) 5689.48 4133.65i 0.518182 0.376481i
\(495\) 108.607 + 150.316i 0.00986162 + 0.0136489i
\(496\) 14848.7 + 10788.2i 1.34421 + 0.976625i
\(497\) 577.717 + 60.7205i 0.0521412 + 0.00548026i
\(498\) 7892.40 27910.5i 0.710174 2.51144i
\(499\) 9550.96 16542.7i 0.856833 1.48408i −0.0181015 0.999836i \(-0.505762\pi\)
0.874934 0.484242i \(-0.160904\pi\)
\(500\) 10678.0 5745.73i 0.955073 0.513914i
\(501\) 6.99912 + 181.334i 0.000624147 + 0.0161705i
\(502\) −4343.54 20434.8i −0.386179 1.81683i
\(503\) 2791.62 3842.33i 0.247459 0.340598i −0.667160 0.744914i \(-0.732490\pi\)
0.914619 + 0.404316i \(0.132490\pi\)
\(504\) 1259.44 + 774.183i 0.111309 + 0.0684224i
\(505\) −8116.83 + 14904.7i −0.715236 + 1.31337i
\(506\) −271.319 120.799i −0.0238372 0.0106130i
\(507\) 871.606 1653.87i 0.0763498 0.144874i
\(508\) −5294.86 + 556.512i −0.462443 + 0.0486048i
\(509\) −12487.3 2654.26i −1.08741 0.231136i −0.370870 0.928685i \(-0.620941\pi\)
−0.716537 + 0.697549i \(0.754274\pi\)
\(510\) 4705.63 18378.4i 0.408567 1.59571i
\(511\) 9538.91 2027.56i 0.825786 0.175526i
\(512\) −15567.7 + 5058.24i −1.34375 + 0.436611i
\(513\) 2349.26 + 5123.85i 0.202188 + 0.440982i
\(514\) 1074.99 3308.49i 0.0922490 0.283913i
\(515\) −2604.67 + 3779.64i −0.222865 + 0.323399i
\(516\) −14355.9 11956.5i −1.22477 1.02006i
\(517\) 332.869 34.9860i 0.0283164 0.00297617i
\(518\) 16155.0 + 9327.12i 1.37029 + 0.791139i
\(519\) −4525.21 + 652.931i −0.382726 + 0.0552225i
\(520\) −1090.10 751.221i −0.0919308 0.0633524i
\(521\) −10224.7 7428.69i −0.859795 0.624677i 0.0680344 0.997683i \(-0.478327\pi\)
−0.927829 + 0.373006i \(0.878327\pi\)
\(522\) −4296.38 118.448i −0.360244 0.00993170i
\(523\) 11180.8 + 3632.85i 0.934801 + 0.303735i 0.736525 0.676411i \(-0.236466\pi\)
0.198277 + 0.980146i \(0.436466\pi\)
\(524\) −5279.88 9145.02i −0.440177 0.762408i
\(525\) −12871.8 209.729i −1.07004 0.0174349i
\(526\) −7889.46 + 13664.9i −0.653987 + 1.13274i
\(527\) 18763.3 16894.6i 1.55093 1.39647i
\(528\) −154.217 103.198i −0.0127110 0.00850594i
\(529\) 193.181 1837.99i 0.0158774 0.151064i
\(530\) 2073.75 + 15906.0i 0.169958 + 1.30361i
\(531\) 14919.9 + 5306.64i 1.21934 + 0.433689i
\(532\) 6909.25i 0.563072i
\(533\) −1154.49 + 2593.03i −0.0938211 + 0.210726i
\(534\) 542.540 3144.37i 0.0439663 0.254813i
\(535\) 5473.60 3344.78i 0.442326 0.270294i
\(536\) 1413.99 + 1570.40i 0.113946 + 0.126550i
\(537\) 12930.4 15525.3i 1.03908 1.24761i
\(538\) 10062.8 + 9060.58i 0.806390 + 0.726077i
\(539\) −9.46034 + 29.1159i −0.000756003 + 0.00232674i
\(540\) 9780.13 9464.13i 0.779388 0.754206i
\(541\) −5469.36 16833.0i −0.434651 1.33772i −0.893444 0.449176i \(-0.851718\pi\)
0.458792 0.888544i \(-0.348282\pi\)
\(542\) 9874.04 22177.5i 0.782521 1.75757i
\(543\) 6338.63 + 10061.5i 0.500951 + 0.795177i
\(544\) 2168.99 + 20636.6i 0.170946 + 1.62645i
\(545\) 12464.6 14557.1i 0.979677 1.14414i
\(546\) 7961.87 + 16173.3i 0.624060 + 1.26768i
\(547\) 22969.4 + 2414.18i 1.79543 + 0.188708i 0.942701 0.333640i \(-0.108277\pi\)
0.852733 + 0.522348i \(0.174944\pi\)
\(548\) −2708.21 879.952i −0.211112 0.0685943i
\(549\) −12756.6 + 986.221i −0.991689 + 0.0766683i
\(550\) −313.118 17.1983i −0.0242753 0.00133334i
\(551\) 783.076 + 1356.33i 0.0605448 + 0.104867i
\(552\) −462.413 + 1635.27i −0.0356551 + 0.126090i
\(553\) −2642.88 5936.00i −0.203231 0.456463i
\(554\) −9998.15 + 4451.46i −0.766752 + 0.341380i
\(555\) 9361.58 9572.57i 0.715994 0.732132i
\(556\) 4927.95 + 2194.07i 0.375885 + 0.167355i
\(557\) 13535.2i 1.02963i 0.857301 + 0.514815i \(0.172139\pi\)
−0.857301 + 0.514815i \(0.827861\pi\)
\(558\) 34239.0 6296.88i 2.59759 0.477720i
\(559\) −5488.82 16892.9i −0.415300 1.27816i
\(560\) 12147.9 4284.65i 0.916686 0.323321i
\(561\) −182.969 + 177.994i −0.0137700 + 0.0133956i
\(562\) −1604.98 + 7550.83i −0.120466 + 0.566748i
\(563\) −1066.67 + 5018.30i −0.0798489 + 0.375659i −0.999869 0.0162127i \(-0.994839\pi\)
0.920020 + 0.391872i \(0.128172\pi\)
\(564\) −6029.87 23811.6i −0.450183 1.77775i
\(565\) 1131.79 399.190i 0.0842741 0.0297240i
\(566\) 4120.27 + 12680.9i 0.305986 + 0.941728i
\(567\) −13966.8 + 3701.02i −1.03448 + 0.274124i
\(568\) 80.9671i 0.00598117i
\(569\) −2832.88 1261.28i −0.208718 0.0929272i 0.299715 0.954029i \(-0.403108\pi\)
−0.508433 + 0.861102i \(0.669775\pi\)
\(570\) −9233.87 2364.25i −0.678533 0.173732i
\(571\) −3639.73 + 1620.51i −0.266757 + 0.118768i −0.535757 0.844372i \(-0.679974\pi\)
0.269000 + 0.963140i \(0.413307\pi\)
\(572\) 92.9260 + 208.715i 0.00679271 + 0.0152567i
\(573\) −11470.9 11791.5i −0.836304 0.859678i
\(574\) 2679.94 + 4641.79i 0.194875 + 0.337534i
\(575\) −3794.15 14303.5i −0.275177 1.03739i
\(576\) −6931.77 + 14481.2i −0.501430 + 1.04754i
\(577\) 24116.2 + 7835.82i 1.73998 + 0.565354i 0.994831 0.101542i \(-0.0323777\pi\)
0.745150 + 0.666896i \(0.232378\pi\)
\(578\) 6017.38 + 632.452i 0.433028 + 0.0455131i
\(579\) 9204.56 13755.0i 0.660671 0.987286i
\(580\) 2459.42 2872.30i 0.176072 0.205631i
\(581\) −2831.89 26943.6i −0.202214 1.92394i
\(582\) 4732.62 182.669i 0.337068 0.0130101i
\(583\) 87.7861 197.171i 0.00623624 0.0140068i
\(584\) −420.034 1292.73i −0.0297622 0.0915987i
\(585\) 12663.3 2656.76i 0.894976 0.187767i
\(586\) −4903.46 + 15091.3i −0.345665 + 1.06385i
\(587\) 523.537 + 471.395i 0.0368121 + 0.0331458i 0.687331 0.726344i \(-0.258782\pi\)
−0.650519 + 0.759490i \(0.725449\pi\)
\(588\) 2214.01 + 382.013i 0.155280 + 0.0267924i
\(589\) −8488.32 9427.23i −0.593812 0.659495i
\(590\) −22849.5 + 13962.7i −1.59440 + 0.974300i
\(591\) 2525.03 + 2103.00i 0.175746 + 0.146372i
\(592\) −5449.26 + 12239.2i −0.378317 + 0.849713i
\(593\) 6412.56i 0.444068i 0.975039 + 0.222034i \(0.0712696\pi\)
−0.975039 + 0.222034i \(0.928730\pi\)
\(594\) −343.445 + 76.9654i −0.0237234 + 0.00531638i
\(595\) −2290.88 17571.4i −0.157844 1.21069i
\(596\) 886.084 8430.53i 0.0608984 0.579409i
\(597\) −1682.67 + 25403.6i −0.115356 + 1.74154i
\(598\) −15399.4 + 13865.7i −1.05306 + 0.948178i
\(599\) −7131.68 + 12352.4i −0.486465 + 0.842582i −0.999879 0.0155592i \(-0.995047\pi\)
0.513414 + 0.858141i \(0.328380\pi\)
\(600\) 158.462 + 1787.33i 0.0107820 + 0.121612i
\(601\) 8720.71 + 15104.7i 0.591888 + 1.02518i 0.993978 + 0.109581i \(0.0349508\pi\)
−0.402089 + 0.915600i \(0.631716\pi\)
\(602\) −31899.2 10364.7i −2.15966 0.701716i
\(603\) −20645.4 569.180i −1.39427 0.0384391i
\(604\) 18725.9 + 13605.2i 1.26150 + 0.916534i
\(605\) −12249.8 8441.71i −0.823181 0.567280i
\(606\) −19923.9 25309.4i −1.33557 1.69657i
\(607\) −22485.4 12982.0i −1.50355 0.868075i −0.999992 0.00411483i \(-0.998690\pi\)
−0.503559 0.863961i \(-0.667976\pi\)
\(608\) 10368.4 1089.77i 0.691604 0.0726905i
\(609\) −3767.38 + 1386.90i −0.250677 + 0.0922827i
\(610\) 12277.0 17815.2i 0.814887 1.18248i
\(611\) 7216.43 22209.9i 0.477816 1.47057i
\(612\) 14846.4 + 11424.7i 0.980604 + 0.754600i
\(613\) −11311.4 + 3675.31i −0.745293 + 0.242161i −0.656955 0.753930i \(-0.728156\pi\)
−0.0883387 + 0.996090i \(0.528156\pi\)
\(614\) −909.053 + 193.225i −0.0597498 + 0.0127002i
\(615\) 3704.70 1037.05i 0.242907 0.0679967i
\(616\) 32.9019 + 6.99351i 0.00215204 + 0.000457430i
\(617\) −11146.4 + 1171.54i −0.727291 + 0.0764414i −0.460936 0.887433i \(-0.652486\pi\)
−0.266356 + 0.963875i \(0.585820\pi\)
\(618\) −4643.68 7371.07i −0.302259 0.479786i
\(619\) −7594.70 3381.38i −0.493145 0.219562i 0.145069 0.989422i \(-0.453660\pi\)
−0.638214 + 0.769859i \(0.720326\pi\)
\(620\) −14648.5 + 26898.6i −0.948867 + 1.74237i
\(621\) −8462.46 14291.5i −0.546839 0.923506i
\(622\) 8911.86 12266.1i 0.574491 0.790719i
\(623\) −619.660 2915.27i −0.0398494 0.187477i
\(624\) −10954.3 + 6901.08i −0.702763 + 0.442731i
\(625\) −9120.55 12686.9i −0.583715 0.811959i
\(626\) −13516.7 + 23411.5i −0.862994 + 1.49475i
\(627\) 89.4295 + 91.9290i 0.00569613 + 0.00585533i
\(628\) −13412.5 1409.71i −0.852253 0.0895754i
\(629\) 14910.3 + 10833.0i 0.945171 + 0.686707i
\(630\) 9996.61 22294.3i 0.632182 1.40988i
\(631\) −17805.6 + 12936.6i −1.12335 + 0.816159i −0.984713 0.174185i \(-0.944271\pi\)
−0.138634 + 0.990344i \(0.544271\pi\)
\(632\) −784.336 + 452.836i −0.0493658 + 0.0285014i
\(633\) −17978.7 + 14153.1i −1.12889 + 0.888684i
\(634\) 11547.7 + 2454.54i 0.723371 + 0.153757i
\(635\) 1593.16 + 6672.87i 0.0995630 + 0.417016i
\(636\) −15241.7 4309.99i −0.950274 0.268714i
\(637\) 1587.37 + 1429.27i 0.0987346 + 0.0889010i
\(638\) −93.0057 + 30.2194i −0.00577137 + 0.00187523i
\(639\) 573.260 + 545.512i 0.0354896 + 0.0337717i
\(640\) −1691.46 3557.70i −0.104470 0.219735i
\(641\) −6865.23 + 7624.61i −0.423027 + 0.469819i −0.916554 0.399912i \(-0.869041\pi\)
0.493527 + 0.869731i \(0.335707\pi\)
\(642\) 1738.63 + 12049.7i 0.106882 + 0.740757i
\(643\) −782.531 451.794i −0.0479938 0.0277092i 0.475811 0.879547i \(-0.342155\pi\)
−0.523805 + 0.851838i \(0.675488\pi\)
\(644\) 2128.05 + 20247.0i 0.130212 + 1.23889i
\(645\) −12886.0 + 20335.3i −0.786645 + 1.24140i
\(646\) 1371.44 13048.4i 0.0835273 0.794710i
\(647\) −10441.9 + 14372.0i −0.634487 + 0.873296i −0.998307 0.0581730i \(-0.981472\pi\)
0.363819 + 0.931469i \(0.381472\pi\)
\(648\) 716.519 + 1882.13i 0.0434376 + 0.114101i
\(649\) 360.304 0.0217922
\(650\) −9982.12 + 19470.0i −0.602355 + 1.17489i
\(651\) 27512.8 17332.7i 1.65639 1.04350i
\(652\) 362.497 326.394i 0.0217738 0.0196052i
\(653\) 9140.73 + 20530.4i 0.547786 + 1.23035i 0.949264 + 0.314480i \(0.101830\pi\)
−0.401478 + 0.915869i \(0.631503\pi\)
\(654\) 16064.7 + 32632.7i 0.960516 + 1.95113i
\(655\) −10805.6 + 8269.91i −0.644596 + 0.493331i
\(656\) −3114.29 + 2262.67i −0.185355 + 0.134668i
\(657\) 11982.7 + 5735.81i 0.711553 + 0.340601i
\(658\) −25920.0 35675.8i −1.53566 2.11366i
\(659\) 18354.7 20385.0i 1.08498 1.20499i 0.107442 0.994211i \(-0.465734\pi\)
0.977534 0.210777i \(-0.0675994\pi\)
\(660\) 137.498 277.456i 0.00810925 0.0163635i
\(661\) 2107.18 + 2340.26i 0.123993 + 0.137709i 0.801945 0.597398i \(-0.203799\pi\)
−0.677951 + 0.735107i \(0.737132\pi\)
\(662\) −1043.82 + 4910.81i −0.0612831 + 0.288314i
\(663\) 6152.88 + 16713.7i 0.360419 + 0.979043i
\(664\) −3693.63 + 785.106i −0.215875 + 0.0458856i
\(665\) −8828.40 + 1151.01i −0.514813 + 0.0671190i
\(666\) 9692.24 + 23490.9i 0.563914 + 1.36675i
\(667\) −2712.49 3733.42i −0.157463 0.216730i
\(668\) 262.420 151.508i 0.0151996 0.00877548i
\(669\) −15535.7 + 2241.60i −0.897823 + 0.129545i
\(670\) 22715.0 26528.3i 1.30979 1.52967i
\(671\) −265.946 + 118.407i −0.0153007 + 0.00681230i
\(672\) −1766.27 + 26665.6i −0.101392 + 1.53073i
\(673\) −153.659 722.910i −0.00880109 0.0414059i 0.973528 0.228568i \(-0.0734043\pi\)
−0.982329 + 0.187162i \(0.940071\pi\)
\(674\) −24208.5 −1.38349
\(675\) −13722.2 10920.1i −0.782470 0.622688i
\(676\) −3121.66 −0.177609
\(677\) −4588.11 21585.3i −0.260466 1.22539i −0.892712 0.450627i \(-0.851200\pi\)
0.632247 0.774767i \(-0.282133\pi\)
\(678\) −150.543 + 2272.77i −0.00852741 + 0.128739i
\(679\) 4041.34 1799.32i 0.228413 0.101696i
\(680\) −2402.36 + 573.565i −0.135480 + 0.0323459i
\(681\) 14944.5 2156.30i 0.840931 0.121336i
\(682\) 685.979 396.050i 0.0385154 0.0222369i
\(683\) 5372.23 + 7394.24i 0.300970 + 0.414250i 0.932539 0.361070i \(-0.117589\pi\)
−0.631568 + 0.775320i \(0.717589\pi\)
\(684\) 5740.09 7459.26i 0.320874 0.416977i
\(685\) −673.213 + 3607.05i −0.0375506 + 0.201195i
\(686\) −23210.0 + 4933.44i −1.29178 + 0.274576i
\(687\) −42.1538 114.507i −0.00234100 0.00635910i
\(688\) 5008.40 23562.7i 0.277534 1.30570i
\(689\) −10076.4 11190.9i −0.557154 0.618782i
\(690\) 27787.3 + 4084.21i 1.53311 + 0.225338i
\(691\) 13238.3 14702.6i 0.728809 0.809424i −0.258871 0.965912i \(-0.583350\pi\)
0.987680 + 0.156487i \(0.0500171\pi\)
\(692\) 4487.39 + 6176.36i 0.246510 + 0.339292i
\(693\) −271.190 + 185.832i −0.0148653 + 0.0101864i
\(694\) 38190.9 27747.3i 2.08891 1.51768i
\(695\) 1982.56 6662.28i 0.108205 0.363618i
\(696\) 247.139 + 502.024i 0.0134595 + 0.0273408i
\(697\) 2153.87 + 4837.67i 0.117050 + 0.262898i
\(698\) −11724.4 + 10556.7i −0.635780 + 0.572459i
\(699\) −4463.47 + 2811.93i −0.241522 + 0.152156i
\(700\) 9710.87 + 19177.6i 0.524338 + 1.03549i
\(701\) −25874.1 −1.39408 −0.697042 0.717031i \(-0.745501\pi\)
−0.697042 + 0.717031i \(0.745501\pi\)
\(702\) −4840.80 + 24075.3i −0.260262 + 1.29439i
\(703\) 5442.80 7491.37i 0.292004 0.401909i
\(704\) −38.1833 + 363.290i −0.00204416 + 0.0194489i
\(705\) −29421.2 + 11671.5i −1.57172 + 0.623510i
\(706\) 3574.59 + 34009.9i 0.190554 + 1.81300i
\(707\) −26055.6 15043.2i −1.38603 0.800223i
\(708\) −3776.15 26171.0i −0.200447 1.38922i
\(709\) 4739.31 5263.54i 0.251042 0.278810i −0.604432 0.796657i \(-0.706600\pi\)
0.855473 + 0.517847i \(0.173266\pi\)
\(710\) −1326.92 + 172.997i −0.0701385 + 0.00914433i
\(711\) 2078.27 8604.18i 0.109622 0.453843i
\(712\) −395.084 + 128.370i −0.0207955 + 0.00675686i
\(713\) 27777.9 + 25011.4i 1.45903 + 1.31372i
\(714\) 32362.5 + 9151.33i 1.69627 + 0.479664i
\(715\) 251.208 153.507i 0.0131394 0.00802915i
\(716\) −33000.4 7014.45i −1.72246 0.366121i
\(717\) −20463.4 + 16109.1i −1.06586 + 0.839061i
\(718\) −7349.46 + 4243.21i −0.382005 + 0.220551i
\(719\) −14327.5 + 10409.5i −0.743151 + 0.539931i −0.893696 0.448672i \(-0.851897\pi\)
0.150545 + 0.988603i \(0.451897\pi\)
\(720\) 16674.6 + 5466.57i 0.863090 + 0.282954i
\(721\) −6583.23 4782.99i −0.340045 0.247057i
\(722\) 21300.7 + 2238.79i 1.09796 + 0.115400i
\(723\) −17578.4 18069.7i −0.904216 0.929488i
\(724\) 9928.32 17196.4i 0.509645 0.882732i
\(725\) −4079.84 2664.06i −0.208995 0.136470i
\(726\) 23889.6 15050.1i 1.22125 0.769371i
\(727\) 5335.46 + 25101.3i 0.272189 + 1.28055i 0.875569 + 0.483093i \(0.160487\pi\)
−0.603380 + 0.797454i \(0.706180\pi\)
\(728\) 1379.48 1898.69i 0.0702293 0.0966624i
\(729\) −18153.3 7607.71i −0.922284 0.386512i
\(730\) −20288.3 + 9645.76i −1.02863 + 0.489049i
\(731\) −30272.9 13478.4i −1.53172 0.681965i
\(732\) 11387.8 + 18076.3i 0.575009 + 0.912732i
\(733\) 720.486 75.7261i 0.0363053 0.00381584i −0.0863584 0.996264i \(-0.527523\pi\)
0.122664 + 0.992448i \(0.460856\pi\)
\(734\) −36212.8 7697.28i −1.82104 0.387073i
\(735\) 119.292 2892.63i 0.00598660 0.145165i
\(736\) −30048.2 + 6386.94i −1.50488 + 0.319872i
\(737\) −446.920 + 145.213i −0.0223372 + 0.00725779i
\(738\) −963.048 + 7237.74i −0.0480356 + 0.361009i
\(739\) −11253.7 + 34635.2i −0.560180 + 1.72406i 0.121676 + 0.992570i \(0.461173\pi\)
−0.681856 + 0.731487i \(0.738827\pi\)
\(740\) −21428.7 6376.73i −1.06450 0.316775i
\(741\) 8397.44 3091.39i 0.416313 0.153259i
\(742\) −28280.3 + 2972.38i −1.39919 + 0.147061i
\(743\) 21405.7 + 12358.6i 1.05693 + 0.610218i 0.924581 0.380985i \(-0.124415\pi\)
0.132348 + 0.991203i \(0.457748\pi\)
\(744\) −2803.48 3561.26i −0.138146 0.175487i
\(745\) −10919.8 + 272.227i −0.537010 + 0.0133874i
\(746\) 22926.4 + 16657.0i 1.12519 + 0.817502i
\(747\) 19327.0 31441.1i 0.946637 1.53999i
\(748\) 405.376 + 131.715i 0.0198155 + 0.00643845i
\(749\) 5685.81 + 9848.12i 0.277377 + 0.480431i
\(750\) 28952.7 6415.80i 1.40961 0.312363i
\(751\) −11457.9 + 19845.7i −0.556731 + 0.964286i 0.441036 + 0.897490i \(0.354611\pi\)
−0.997767 + 0.0667967i \(0.978722\pi\)
\(752\) 23536.2 21192.1i 1.14133 1.02766i
\(753\) 1756.91 26524.3i 0.0850270 1.28367i
\(754\) −713.212 + 6785.75i −0.0344478 + 0.327749i
\(755\) 14264.7 26193.8i 0.687609 1.26264i
\(756\) 16340.3 + 17750.5i 0.786099 + 0.853943i
\(757\) 25362.5i 1.21772i −0.793277 0.608861i \(-0.791627\pi\)
0.793277 0.608861i \(-0.208373\pi\)
\(758\) 21538.0 48375.1i 1.03205 2.31802i
\(759\) −290.380 241.846i −0.0138869 0.0115658i
\(760\) 288.176 + 1207.01i 0.0137543 + 0.0576092i
\(761\) 17137.0 + 19032.5i 0.816314 + 0.906609i 0.997037 0.0769253i \(-0.0245103\pi\)
−0.180723 + 0.983534i \(0.557844\pi\)
\(762\) −12831.0 2213.90i −0.609996 0.105251i
\(763\) 25247.5 + 22733.0i 1.19793 + 1.07862i
\(764\) −8488.36 + 26124.5i −0.401961 + 1.23711i
\(765\) 12124.8 20873.4i 0.573037 0.986510i
\(766\) −14061.7 43277.6i −0.663278 2.04136i
\(767\) 10225.0 22965.7i 0.481360 1.08115i
\(768\) −17228.5 + 664.983i −0.809479 + 0.0312441i
\(769\) −3533.20 33616.1i −0.165683 1.57637i −0.689338 0.724439i \(-0.742099\pi\)
0.523655 0.851930i \(-0.324568\pi\)
\(770\) 44.3127 554.150i 0.00207392 0.0259353i
\(771\) 2461.73 3678.74i