Properties

Label 38.4.e.a.9.1
Level $38$
Weight $4$
Character 38.9
Analytic conductor $2.242$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 38 = 2 \cdot 19 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 38.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.24207258022\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
Defining polynomial: \(x^{12} - 6 x^{11} - 135 x^{10} + 730 x^{9} + 7953 x^{8} - 36258 x^{7} - 262940 x^{6} + 918855 x^{5} + 5157591 x^{4} - 11890401 x^{3} - 56759508 x^{2} + 62864118 x + 272110107\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 9.1
Root \(5.30460 - 0.984808i\) of defining polynomial
Character \(\chi\) \(=\) 38.9
Dual form 38.4.e.a.17.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.347296 + 1.96962i) q^{2} +(-4.43054 + 3.71766i) q^{3} +(-3.75877 + 1.36808i) q^{4} +(-5.82452 - 2.11995i) q^{5} +(-8.86108 - 7.43533i) q^{6} +(-5.61124 + 9.71895i) q^{7} +(-4.00000 - 6.92820i) q^{8} +(1.12015 - 6.35271i) q^{9} +O(q^{10})\) \(q+(0.347296 + 1.96962i) q^{2} +(-4.43054 + 3.71766i) q^{3} +(-3.75877 + 1.36808i) q^{4} +(-5.82452 - 2.11995i) q^{5} +(-8.86108 - 7.43533i) q^{6} +(-5.61124 + 9.71895i) q^{7} +(-4.00000 - 6.92820i) q^{8} +(1.12015 - 6.35271i) q^{9} +(2.15265 - 12.2083i) q^{10} +(22.5510 + 39.0594i) q^{11} +(11.5673 - 20.0352i) q^{12} +(17.3540 + 14.5617i) q^{13} +(-21.0914 - 7.67662i) q^{14} +(33.6870 - 12.2611i) q^{15} +(12.2567 - 10.2846i) q^{16} +(-5.38864 - 30.5605i) q^{17} +12.9014 q^{18} +(13.8011 + 81.6611i) q^{19} +24.7933 q^{20} +(-11.2710 - 63.9209i) q^{21} +(-69.1002 + 57.9820i) q^{22} +(135.607 - 49.3568i) q^{23} +(43.4789 + 15.8250i) q^{24} +(-66.3247 - 55.6531i) q^{25} +(-22.6540 + 39.2379i) q^{26} +(-59.4250 - 102.927i) q^{27} +(7.79505 - 44.2079i) q^{28} +(4.20818 - 23.8658i) q^{29} +(35.8490 + 62.0923i) q^{30} +(-151.827 + 262.972i) q^{31} +(24.5134 + 20.5692i) q^{32} +(-245.123 - 89.2174i) q^{33} +(58.3209 - 21.2271i) q^{34} +(53.2864 - 44.7126i) q^{35} +(4.48062 + 25.4109i) q^{36} -121.394 q^{37} +(-156.048 + 55.5435i) q^{38} -131.023 q^{39} +(8.61062 + 48.8332i) q^{40} +(-79.4143 + 66.6365i) q^{41} +(121.985 - 44.3990i) q^{42} +(417.583 + 151.988i) q^{43} +(-138.200 - 115.964i) q^{44} +(-19.9918 + 34.6268i) q^{45} +(144.310 + 249.952i) q^{46} +(83.6935 - 474.649i) q^{47} +(-16.0692 + 91.1327i) q^{48} +(108.528 + 187.976i) q^{49} +(86.5808 - 149.962i) q^{50} +(137.488 + 115.366i) q^{51} +(-85.1513 - 30.9926i) q^{52} +(414.516 - 150.872i) q^{53} +(182.089 - 152.791i) q^{54} +(-48.5445 - 275.309i) q^{55} +89.7798 q^{56} +(-364.735 - 310.495i) q^{57} +48.4679 q^{58} +(42.1028 + 238.777i) q^{59} +(-109.848 + 92.1731i) q^{60} +(499.831 - 181.924i) q^{61} +(-570.682 - 207.711i) q^{62} +(55.4562 + 46.5333i) q^{63} +(-32.0000 + 55.4256i) q^{64} +(-70.2085 - 121.605i) q^{65} +(90.5938 - 513.783i) q^{66} +(-126.356 + 716.599i) q^{67} +(62.0638 + 107.498i) q^{68} +(-417.319 + 722.817i) q^{69} +(106.573 + 89.4253i) q^{70} +(211.846 + 77.1055i) q^{71} +(-48.4935 + 17.6502i) q^{72} +(-269.129 + 225.826i) q^{73} +(-42.1596 - 239.099i) q^{74} +500.754 q^{75} +(-163.594 - 288.064i) q^{76} -506.156 q^{77} +(-45.5039 - 258.065i) q^{78} +(-461.663 + 387.381i) q^{79} +(-93.1923 + 33.9192i) q^{80} +(809.599 + 294.670i) q^{81} +(-158.829 - 133.273i) q^{82} +(-124.426 + 215.513i) q^{83} +(129.814 + 224.844i) q^{84} +(-33.4005 + 189.424i) q^{85} +(-154.332 + 875.262i) q^{86} +(70.0805 + 121.383i) q^{87} +(180.408 - 312.476i) q^{88} +(-1274.40 - 1069.35i) q^{89} +(-75.1446 - 27.3504i) q^{90} +(-238.902 + 86.9533i) q^{91} +(-442.190 + 371.042i) q^{92} +(-304.966 - 1729.55i) q^{93} +963.943 q^{94} +(92.7325 - 504.894i) q^{95} -185.077 q^{96} +(-146.959 - 833.444i) q^{97} +(-332.549 + 279.042i) q^{98} +(273.394 - 99.5073i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 9q^{3} - 18q^{6} + 21q^{7} - 48q^{8} - 27q^{9} + O(q^{10}) \) \( 12q - 9q^{3} - 18q^{6} + 21q^{7} - 48q^{8} - 27q^{9} - 9q^{11} + 36q^{12} + 39q^{13} - 138q^{14} + 423q^{15} + 69q^{17} + 132q^{18} - 462q^{19} - 216q^{20} - 279q^{21} + 204q^{22} - 66q^{23} - 72q^{24} + 342q^{25} + 48q^{26} + 189q^{27} + 192q^{28} + 159q^{29} + 72q^{31} - 1560q^{33} + 408q^{34} - 135q^{35} - 108q^{36} + 1116q^{37} - 294q^{38} - 1248q^{39} + 147q^{41} + 414q^{42} - 117q^{43} + 408q^{44} + 1296q^{45} + 528q^{46} + 783q^{47} + 288q^{48} + 1413q^{49} - 354q^{50} - 2301q^{51} - 348q^{52} - 249q^{53} - 540q^{54} + 2187q^{55} - 336q^{56} - 2670q^{57} - 1932q^{58} - 4248q^{59} + 324q^{60} + 3114q^{61} - 438q^{62} + 363q^{63} - 384q^{64} + 495q^{65} + 822q^{66} + 3060q^{67} + 408q^{68} - 237q^{69} - 270q^{70} + 1686q^{71} + 432q^{72} + 1626q^{73} + 90q^{74} - 1854q^{75} - 1416q^{77} - 108q^{78} - 327q^{79} + 3483q^{81} + 294q^{82} + 927q^{83} + 204q^{84} - 3294q^{85} + 1188q^{86} + 2892q^{87} - 72q^{88} - 6366q^{89} - 5076q^{90} + 840q^{91} - 156q^{92} + 870q^{93} + 3432q^{94} + 513q^{95} - 576q^{96} - 8052q^{97} + 378q^{98} + 4494q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).

\(n\) \(21\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.347296 + 1.96962i 0.122788 + 0.696364i
\(3\) −4.43054 + 3.71766i −0.852658 + 0.715465i −0.960373 0.278717i \(-0.910091\pi\)
0.107715 + 0.994182i \(0.465646\pi\)
\(4\) −3.75877 + 1.36808i −0.469846 + 0.171010i
\(5\) −5.82452 2.11995i −0.520961 0.189614i 0.0681370 0.997676i \(-0.478294\pi\)
−0.589098 + 0.808062i \(0.700517\pi\)
\(6\) −8.86108 7.43533i −0.602920 0.505910i
\(7\) −5.61124 + 9.71895i −0.302978 + 0.524774i −0.976809 0.214112i \(-0.931314\pi\)
0.673831 + 0.738886i \(0.264648\pi\)
\(8\) −4.00000 6.92820i −0.176777 0.306186i
\(9\) 1.12015 6.35271i 0.0414872 0.235286i
\(10\) 2.15265 12.2083i 0.0680729 0.386061i
\(11\) 22.5510 + 39.0594i 0.618125 + 1.07062i 0.989828 + 0.142272i \(0.0454408\pi\)
−0.371702 + 0.928352i \(0.621226\pi\)
\(12\) 11.5673 20.0352i 0.278266 0.481972i
\(13\) 17.3540 + 14.5617i 0.370241 + 0.310669i 0.808857 0.588005i \(-0.200087\pi\)
−0.438616 + 0.898675i \(0.644531\pi\)
\(14\) −21.0914 7.67662i −0.402636 0.146547i
\(15\) 33.6870 12.2611i 0.579864 0.211053i
\(16\) 12.2567 10.2846i 0.191511 0.160697i
\(17\) −5.38864 30.5605i −0.0768786 0.436000i −0.998815 0.0486599i \(-0.984505\pi\)
0.921937 0.387340i \(-0.126606\pi\)
\(18\) 12.9014 0.168939
\(19\) 13.8011 + 81.6611i 0.166642 + 0.986017i
\(20\) 24.7933 0.277197
\(21\) −11.2710 63.9209i −0.117120 0.664223i
\(22\) −69.1002 + 57.9820i −0.669646 + 0.561900i
\(23\) 135.607 49.3568i 1.22939 0.447461i 0.356001 0.934486i \(-0.384140\pi\)
0.873388 + 0.487025i \(0.161918\pi\)
\(24\) 43.4789 + 15.8250i 0.369796 + 0.134595i
\(25\) −66.3247 55.6531i −0.530598 0.445225i
\(26\) −22.6540 + 39.2379i −0.170878 + 0.295969i
\(27\) −59.4250 102.927i −0.423569 0.733642i
\(28\) 7.79505 44.2079i 0.0526116 0.298375i
\(29\) 4.20818 23.8658i 0.0269462 0.152820i −0.968366 0.249534i \(-0.919722\pi\)
0.995312 + 0.0967149i \(0.0308335\pi\)
\(30\) 35.8490 + 62.0923i 0.218170 + 0.377881i
\(31\) −151.827 + 262.972i −0.879641 + 1.52358i −0.0279067 + 0.999611i \(0.508884\pi\)
−0.851735 + 0.523973i \(0.824449\pi\)
\(32\) 24.5134 + 20.5692i 0.135419 + 0.113630i
\(33\) −245.123 89.2174i −1.29304 0.470629i
\(34\) 58.3209 21.2271i 0.294175 0.107071i
\(35\) 53.2864 44.7126i 0.257344 0.215938i
\(36\) 4.48062 + 25.4109i 0.0207436 + 0.117643i
\(37\) −121.394 −0.539378 −0.269689 0.962947i \(-0.586921\pi\)
−0.269689 + 0.962947i \(0.586921\pi\)
\(38\) −156.048 + 55.5435i −0.666166 + 0.237114i
\(39\) −131.023 −0.537962
\(40\) 8.61062 + 48.8332i 0.0340365 + 0.193030i
\(41\) −79.4143 + 66.6365i −0.302498 + 0.253826i −0.781383 0.624052i \(-0.785486\pi\)
0.478885 + 0.877878i \(0.341041\pi\)
\(42\) 121.985 44.3990i 0.448160 0.163117i
\(43\) 417.583 + 151.988i 1.48095 + 0.539021i 0.951049 0.309040i \(-0.100008\pi\)
0.529898 + 0.848061i \(0.322230\pi\)
\(44\) −138.200 115.964i −0.473511 0.397323i
\(45\) −19.9918 + 34.6268i −0.0662267 + 0.114708i
\(46\) 144.310 + 249.952i 0.462550 + 0.801160i
\(47\) 83.6935 474.649i 0.259744 1.47308i −0.523853 0.851809i \(-0.675506\pi\)
0.783596 0.621270i \(-0.213383\pi\)
\(48\) −16.0692 + 91.1327i −0.0483205 + 0.274039i
\(49\) 108.528 + 187.976i 0.316408 + 0.548035i
\(50\) 86.5808 149.962i 0.244887 0.424158i
\(51\) 137.488 + 115.366i 0.377494 + 0.316755i
\(52\) −85.1513 30.9926i −0.227084 0.0826518i
\(53\) 414.516 150.872i 1.07431 0.391015i 0.256520 0.966539i \(-0.417424\pi\)
0.817785 + 0.575523i \(0.195202\pi\)
\(54\) 182.089 152.791i 0.458873 0.385040i
\(55\) −48.5445 275.309i −0.119013 0.674958i
\(56\) 89.7798 0.214238
\(57\) −364.735 310.495i −0.847549 0.721509i
\(58\) 48.4679 0.109727
\(59\) 42.1028 + 238.777i 0.0929037 + 0.526883i 0.995370 + 0.0961217i \(0.0306438\pi\)
−0.902466 + 0.430761i \(0.858245\pi\)
\(60\) −109.848 + 92.1731i −0.236355 + 0.198325i
\(61\) 499.831 181.924i 1.04913 0.381851i 0.240794 0.970576i \(-0.422592\pi\)
0.808333 + 0.588725i \(0.200370\pi\)
\(62\) −570.682 207.711i −1.16898 0.425473i
\(63\) 55.4562 + 46.5333i 0.110902 + 0.0930579i
\(64\) −32.0000 + 55.4256i −0.0625000 + 0.108253i
\(65\) −70.2085 121.605i −0.133974 0.232049i
\(66\) 90.5938 513.783i 0.168959 0.958217i
\(67\) −126.356 + 716.599i −0.230400 + 1.30666i 0.621688 + 0.783265i \(0.286447\pi\)
−0.852088 + 0.523399i \(0.824664\pi\)
\(68\) 62.0638 + 107.498i 0.110682 + 0.191706i
\(69\) −417.319 + 722.817i −0.728105 + 1.26112i
\(70\) 106.573 + 89.4253i 0.181970 + 0.152691i
\(71\) 211.846 + 77.1055i 0.354105 + 0.128884i 0.512947 0.858420i \(-0.328554\pi\)
−0.158842 + 0.987304i \(0.550776\pi\)
\(72\) −48.4935 + 17.6502i −0.0793752 + 0.0288902i
\(73\) −269.129 + 225.826i −0.431496 + 0.362068i −0.832516 0.554001i \(-0.813100\pi\)
0.401020 + 0.916069i \(0.368656\pi\)
\(74\) −42.1596 239.099i −0.0662291 0.375604i
\(75\) 500.754 0.770961
\(76\) −163.594 288.064i −0.246915 0.434779i
\(77\) −506.156 −0.749114
\(78\) −45.5039 258.065i −0.0660552 0.374617i
\(79\) −461.663 + 387.381i −0.657483 + 0.551694i −0.909331 0.416073i \(-0.863406\pi\)
0.251848 + 0.967767i \(0.418962\pi\)
\(80\) −93.1923 + 33.9192i −0.130240 + 0.0474036i
\(81\) 809.599 + 294.670i 1.11056 + 0.404211i
\(82\) −158.829 133.273i −0.213899 0.179482i
\(83\) −124.426 + 215.513i −0.164549 + 0.285007i −0.936495 0.350681i \(-0.885950\pi\)
0.771946 + 0.635688i \(0.219283\pi\)
\(84\) 129.814 + 224.844i 0.168617 + 0.292054i
\(85\) −33.4005 + 189.424i −0.0426211 + 0.241716i
\(86\) −154.332 + 875.262i −0.193513 + 1.09746i
\(87\) 70.0805 + 121.383i 0.0863611 + 0.149582i
\(88\) 180.408 312.476i 0.218540 0.378523i
\(89\) −1274.40 1069.35i −1.51782 1.27361i −0.846421 0.532515i \(-0.821247\pi\)
−0.671404 0.741091i \(-0.734309\pi\)
\(90\) −75.1446 27.3504i −0.0880104 0.0320332i
\(91\) −238.902 + 86.9533i −0.275206 + 0.100167i
\(92\) −442.190 + 371.042i −0.501103 + 0.420476i
\(93\) −304.966 1729.55i −0.340037 1.92845i
\(94\) 963.943 1.05769
\(95\) 92.7325 504.894i 0.100149 0.545274i
\(96\) −185.077 −0.196764
\(97\) −146.959 833.444i −0.153829 0.872406i −0.959849 0.280518i \(-0.909494\pi\)
0.806020 0.591888i \(-0.201617\pi\)
\(98\) −332.549 + 279.042i −0.342781 + 0.287627i
\(99\) 273.394 99.5073i 0.277547 0.101019i
\(100\) 325.437 + 118.450i 0.325437 + 0.118450i
\(101\) 1008.51 + 846.239i 0.993568 + 0.833703i 0.986080 0.166269i \(-0.0531721\pi\)
0.00748768 + 0.999972i \(0.497617\pi\)
\(102\) −179.478 + 310.865i −0.174225 + 0.301767i
\(103\) −479.173 829.952i −0.458392 0.793958i 0.540485 0.841354i \(-0.318241\pi\)
−0.998876 + 0.0473963i \(0.984908\pi\)
\(104\) 31.4707 178.479i 0.0296726 0.168282i
\(105\) −69.8611 + 396.202i −0.0649310 + 0.368242i
\(106\) 441.119 + 764.041i 0.404201 + 0.700096i
\(107\) −264.757 + 458.573i −0.239206 + 0.414317i −0.960487 0.278326i \(-0.910220\pi\)
0.721281 + 0.692643i \(0.243554\pi\)
\(108\) 364.178 + 305.581i 0.324472 + 0.272265i
\(109\) 1616.21 + 588.251i 1.42022 + 0.516919i 0.934113 0.356978i \(-0.116193\pi\)
0.486111 + 0.873897i \(0.338415\pi\)
\(110\) 525.394 191.228i 0.455404 0.165753i
\(111\) 537.839 451.301i 0.459905 0.385906i
\(112\) 31.1802 + 176.832i 0.0263058 + 0.149188i
\(113\) 1735.05 1.44442 0.722210 0.691674i \(-0.243126\pi\)
0.722210 + 0.691674i \(0.243126\pi\)
\(114\) 484.884 826.221i 0.398364 0.678796i
\(115\) −894.477 −0.725308
\(116\) 16.8327 + 95.4632i 0.0134731 + 0.0764098i
\(117\) 111.946 93.9336i 0.0884563 0.0742236i
\(118\) −455.676 + 165.853i −0.355495 + 0.129390i
\(119\) 327.253 + 119.110i 0.252094 + 0.0917547i
\(120\) −219.695 184.346i −0.167128 0.140237i
\(121\) −351.593 + 608.978i −0.264157 + 0.457534i
\(122\) 531.909 + 921.293i 0.394728 + 0.683688i
\(123\) 104.116 590.471i 0.0763238 0.432854i
\(124\) 210.915 1196.16i 0.152748 0.866278i
\(125\) 655.723 + 1135.75i 0.469197 + 0.812673i
\(126\) −72.3930 + 125.388i −0.0511847 + 0.0886546i
\(127\) −1338.38 1123.03i −0.935132 0.784669i 0.0415996 0.999134i \(-0.486755\pi\)
−0.976732 + 0.214465i \(0.931199\pi\)
\(128\) −120.281 43.7786i −0.0830579 0.0302306i
\(129\) −2415.15 + 879.045i −1.64839 + 0.599966i
\(130\) 215.131 180.517i 0.145141 0.121787i
\(131\) −308.578 1750.03i −0.205806 1.16718i −0.896166 0.443719i \(-0.853659\pi\)
0.690360 0.723466i \(-0.257452\pi\)
\(132\) 1043.42 0.688014
\(133\) −871.101 324.087i −0.567925 0.211293i
\(134\) −1455.31 −0.938205
\(135\) 127.922 + 725.479i 0.0815536 + 0.462514i
\(136\) −190.175 + 159.575i −0.119907 + 0.100614i
\(137\) 580.436 211.261i 0.361970 0.131746i −0.154631 0.987972i \(-0.549419\pi\)
0.516602 + 0.856226i \(0.327197\pi\)
\(138\) −1568.61 570.926i −0.967598 0.352177i
\(139\) −1487.81 1248.42i −0.907875 0.761798i 0.0638384 0.997960i \(-0.479666\pi\)
−0.971714 + 0.236163i \(0.924110\pi\)
\(140\) −139.121 + 240.965i −0.0839848 + 0.145466i
\(141\) 1393.78 + 2414.10i 0.832464 + 1.44187i
\(142\) −78.2950 + 444.033i −0.0462702 + 0.262411i
\(143\) −177.424 + 1006.22i −0.103755 + 0.588421i
\(144\) −51.6057 89.3837i −0.0298644 0.0517267i
\(145\) −75.1049 + 130.086i −0.0430147 + 0.0745036i
\(146\) −538.259 451.653i −0.305114 0.256021i
\(147\) −1179.67 429.365i −0.661888 0.240907i
\(148\) 456.291 166.076i 0.253425 0.0922391i
\(149\) 625.172 524.582i 0.343732 0.288425i −0.454535 0.890729i \(-0.650195\pi\)
0.798267 + 0.602303i \(0.205750\pi\)
\(150\) 173.910 + 986.292i 0.0946646 + 0.536870i
\(151\) 905.056 0.487764 0.243882 0.969805i \(-0.421579\pi\)
0.243882 + 0.969805i \(0.421579\pi\)
\(152\) 510.560 422.261i 0.272447 0.225328i
\(153\) −200.178 −0.105774
\(154\) −175.786 996.932i −0.0919821 0.521656i
\(155\) 1441.80 1209.82i 0.747152 0.626935i
\(156\) 492.486 179.250i 0.252759 0.0919969i
\(157\) 1315.48 + 478.795i 0.668704 + 0.243388i 0.653990 0.756503i \(-0.273094\pi\)
0.0147144 + 0.999892i \(0.495316\pi\)
\(158\) −923.326 774.763i −0.464911 0.390106i
\(159\) −1275.64 + 2209.48i −0.636257 + 1.10203i
\(160\) −99.1732 171.773i −0.0490020 0.0848740i
\(161\) −281.225 + 1594.91i −0.137662 + 0.780722i
\(162\) −299.216 + 1696.94i −0.145115 + 0.822987i
\(163\) −220.186 381.373i −0.105805 0.183260i 0.808262 0.588824i \(-0.200409\pi\)
−0.914067 + 0.405563i \(0.867075\pi\)
\(164\) 207.336 359.116i 0.0987208 0.170990i
\(165\) 1238.59 + 1039.30i 0.584387 + 0.490359i
\(166\) −467.690 170.225i −0.218673 0.0795905i
\(167\) −731.926 + 266.399i −0.339151 + 0.123441i −0.505980 0.862545i \(-0.668869\pi\)
0.166830 + 0.985986i \(0.446647\pi\)
\(168\) −397.773 + 333.771i −0.182672 + 0.153280i
\(169\) −292.388 1658.21i −0.133085 0.754763i
\(170\) −384.692 −0.173556
\(171\) 534.229 + 3.79835i 0.238909 + 0.00169864i
\(172\) −1777.53 −0.787996
\(173\) 569.793 + 3231.46i 0.250408 + 1.42013i 0.807590 + 0.589744i \(0.200771\pi\)
−0.557182 + 0.830390i \(0.688117\pi\)
\(174\) −214.739 + 180.187i −0.0935593 + 0.0785056i
\(175\) 913.053 332.324i 0.394402 0.143551i
\(176\) 678.112 + 246.812i 0.290424 + 0.105706i
\(177\) −1074.23 901.386i −0.456181 0.382782i
\(178\) 1663.61 2881.46i 0.700523 1.21334i
\(179\) −677.348 1173.20i −0.282834 0.489884i 0.689247 0.724526i \(-0.257941\pi\)
−0.972082 + 0.234643i \(0.924608\pi\)
\(180\) 27.7723 157.505i 0.0115001 0.0652206i
\(181\) 590.370 3348.16i 0.242441 1.37495i −0.583920 0.811812i \(-0.698482\pi\)
0.826361 0.563141i \(-0.190407\pi\)
\(182\) −254.234 440.347i −0.103545 0.179344i
\(183\) −1538.19 + 2664.22i −0.621346 + 1.07620i
\(184\) −884.380 742.083i −0.354334 0.297321i
\(185\) 707.059 + 257.349i 0.280995 + 0.102274i
\(186\) 3300.63 1201.33i 1.30115 0.473580i
\(187\) 1072.16 899.646i 0.419272 0.351811i
\(188\) 334.774 + 1898.60i 0.129872 + 0.736539i
\(189\) 1333.79 0.513328
\(190\) 1026.65 + 7.29948i 0.392006 + 0.00278716i
\(191\) 4250.41 1.61020 0.805102 0.593136i \(-0.202110\pi\)
0.805102 + 0.593136i \(0.202110\pi\)
\(192\) −64.2766 364.531i −0.0241602 0.137019i
\(193\) −412.701 + 346.297i −0.153922 + 0.129156i −0.716496 0.697591i \(-0.754255\pi\)
0.562575 + 0.826747i \(0.309811\pi\)
\(194\) 1590.53 578.904i 0.588624 0.214242i
\(195\) 763.147 + 277.763i 0.280257 + 0.102005i
\(196\) −665.098 558.084i −0.242383 0.203383i
\(197\) 774.593 1341.63i 0.280139 0.485216i −0.691279 0.722588i \(-0.742953\pi\)
0.971419 + 0.237372i \(0.0762860\pi\)
\(198\) 290.940 + 503.923i 0.104425 + 0.180870i
\(199\) −40.5441 + 229.937i −0.0144427 + 0.0819087i −0.991177 0.132544i \(-0.957686\pi\)
0.976734 + 0.214452i \(0.0687966\pi\)
\(200\) −120.277 + 682.124i −0.0425243 + 0.241167i
\(201\) −2104.25 3644.67i −0.738420 1.27898i
\(202\) −1316.51 + 2280.27i −0.458563 + 0.794254i
\(203\) 208.337 + 174.816i 0.0720316 + 0.0604417i
\(204\) −674.617 245.540i −0.231532 0.0842709i
\(205\) 603.816 219.771i 0.205719 0.0748755i
\(206\) 1468.27 1232.03i 0.496599 0.416696i
\(207\) −161.649 916.757i −0.0542772 0.307821i
\(208\) 362.465 0.120829
\(209\) −2878.41 + 2380.60i −0.952648 + 0.787893i
\(210\) −804.629 −0.264403
\(211\) 644.258 + 3653.77i 0.210202 + 1.19211i 0.889042 + 0.457827i \(0.151372\pi\)
−0.678840 + 0.734286i \(0.737517\pi\)
\(212\) −1351.67 + 1134.18i −0.437891 + 0.367434i
\(213\) −1225.24 + 445.952i −0.394142 + 0.143456i
\(214\) −995.161 362.209i −0.317887 0.115701i
\(215\) −2110.01 1770.51i −0.669309 0.561617i
\(216\) −475.400 + 823.417i −0.149754 + 0.259382i
\(217\) −1703.87 2951.19i −0.533025 0.923226i
\(218\) −597.325 + 3387.60i −0.185578 + 1.05246i
\(219\) 352.842 2001.06i 0.108871 0.617440i
\(220\) 559.113 + 968.412i 0.171343 + 0.296774i
\(221\) 351.499 608.814i 0.106988 0.185309i
\(222\) 1075.68 + 902.602i 0.325202 + 0.272877i
\(223\) 415.305 + 151.158i 0.124712 + 0.0453916i 0.403622 0.914926i \(-0.367751\pi\)
−0.278910 + 0.960317i \(0.589973\pi\)
\(224\) −337.462 + 122.826i −0.100659 + 0.0366369i
\(225\) −427.842 + 359.002i −0.126768 + 0.106371i
\(226\) 602.575 + 3417.37i 0.177357 + 1.00584i
\(227\) −5132.39 −1.50066 −0.750328 0.661066i \(-0.770104\pi\)
−0.750328 + 0.661066i \(0.770104\pi\)
\(228\) 1795.74 + 668.091i 0.521603 + 0.194059i
\(229\) −157.494 −0.0454476 −0.0227238 0.999742i \(-0.507234\pi\)
−0.0227238 + 0.999742i \(0.507234\pi\)
\(230\) −310.649 1761.78i −0.0890590 0.505079i
\(231\) 2242.54 1881.72i 0.638738 0.535965i
\(232\) −182.180 + 66.3080i −0.0515547 + 0.0187644i
\(233\) −5760.24 2096.55i −1.61960 0.589484i −0.636290 0.771450i \(-0.719532\pi\)
−0.983305 + 0.181965i \(0.941754\pi\)
\(234\) 223.891 + 187.867i 0.0625480 + 0.0524840i
\(235\) −1493.71 + 2587.18i −0.414633 + 0.718165i
\(236\) −484.921 839.907i −0.133753 0.231667i
\(237\) 605.263 3432.62i 0.165891 0.940812i
\(238\) −120.948 + 685.928i −0.0329406 + 0.186816i
\(239\) 3156.68 + 5467.53i 0.854346 + 1.47977i 0.877250 + 0.480033i \(0.159375\pi\)
−0.0229043 + 0.999738i \(0.507291\pi\)
\(240\) 286.792 496.738i 0.0771347 0.133601i
\(241\) 2432.76 + 2041.33i 0.650241 + 0.545617i 0.907144 0.420820i \(-0.138258\pi\)
−0.256903 + 0.966437i \(0.582702\pi\)
\(242\) −1321.56 481.008i −0.351046 0.127770i
\(243\) −1667.02 + 606.745i −0.440079 + 0.160176i
\(244\) −1629.86 + 1367.62i −0.427628 + 0.358823i
\(245\) −233.623 1324.94i −0.0609210 0.345500i
\(246\) 1199.16 0.310795
\(247\) −949.622 + 1618.11i −0.244628 + 0.416835i
\(248\) 2429.23 0.622000
\(249\) −249.928 1417.41i −0.0636086 0.360742i
\(250\) −2009.25 + 1685.96i −0.508305 + 0.426519i
\(251\) −3686.45 + 1341.76i −0.927039 + 0.337414i −0.761035 0.648711i \(-0.775309\pi\)
−0.166004 + 0.986125i \(0.553086\pi\)
\(252\) −272.109 99.0394i −0.0680207 0.0247575i
\(253\) 4985.91 + 4183.68i 1.23898 + 1.03963i
\(254\) 1747.13 3026.11i 0.431593 0.747540i
\(255\) −556.231 963.421i −0.136598 0.236595i
\(256\) 44.4539 252.111i 0.0108530 0.0615505i
\(257\) 217.165 1231.61i 0.0527098 0.298932i −0.947044 0.321103i \(-0.895947\pi\)
0.999754 + 0.0221706i \(0.00705770\pi\)
\(258\) −2570.15 4451.64i −0.620197 1.07421i
\(259\) 681.169 1179.82i 0.163420 0.283052i
\(260\) 430.263 + 361.033i 0.102630 + 0.0861167i
\(261\) −146.899 53.4668i −0.0348383 0.0126801i
\(262\) 3339.73 1215.56i 0.787515 0.286632i
\(263\) 3706.46 3110.09i 0.869012 0.729188i −0.0948778 0.995489i \(-0.530246\pi\)
0.963890 + 0.266301i \(0.0858016\pi\)
\(264\) 362.375 + 2055.13i 0.0844797 + 0.479108i
\(265\) −2734.20 −0.633813
\(266\) 335.797 1828.29i 0.0774023 0.421427i
\(267\) 9621.78 2.20541
\(268\) −505.423 2866.40i −0.115200 0.653332i
\(269\) −1896.22 + 1591.12i −0.429794 + 0.360640i −0.831874 0.554964i \(-0.812732\pi\)
0.402080 + 0.915605i \(0.368287\pi\)
\(270\) −1384.49 + 503.913i −0.312064 + 0.113582i
\(271\) 928.041 + 337.779i 0.208024 + 0.0757145i 0.443930 0.896061i \(-0.353584\pi\)
−0.235907 + 0.971776i \(0.575806\pi\)
\(272\) −380.349 319.151i −0.0847870 0.0711447i
\(273\) 735.203 1273.41i 0.162991 0.282308i
\(274\) 617.687 + 1069.86i 0.136189 + 0.235886i
\(275\) 678.090 3845.64i 0.148692 0.843275i
\(276\) 579.733 3287.83i 0.126434 0.717044i
\(277\) −1621.44 2808.41i −0.351706 0.609173i 0.634842 0.772642i \(-0.281065\pi\)
−0.986549 + 0.163469i \(0.947732\pi\)
\(278\) 1942.20 3363.99i 0.419013 0.725751i
\(279\) 1500.51 + 1259.08i 0.321984 + 0.270176i
\(280\) −522.924 190.329i −0.111610 0.0406226i
\(281\) −4652.26 + 1693.28i −0.987653 + 0.359476i −0.784811 0.619735i \(-0.787240\pi\)
−0.202842 + 0.979212i \(0.565018\pi\)
\(282\) −4270.79 + 3583.62i −0.901850 + 0.756742i
\(283\) 1341.20 + 7606.34i 0.281718 + 1.59770i 0.716777 + 0.697302i \(0.245616\pi\)
−0.435059 + 0.900402i \(0.643273\pi\)
\(284\) −901.766 −0.188415
\(285\) 1466.17 + 2581.70i 0.304732 + 0.536585i
\(286\) −2043.48 −0.422495
\(287\) −202.024 1145.74i −0.0415509 0.235647i
\(288\) 158.129 132.686i 0.0323536 0.0271479i
\(289\) 3711.80 1350.99i 0.755507 0.274982i
\(290\) −282.302 102.750i −0.0571633 0.0208057i
\(291\) 3749.57 + 3146.26i 0.755339 + 0.633805i
\(292\) 702.647 1217.02i 0.140819 0.243906i
\(293\) 660.000 + 1143.15i 0.131596 + 0.227931i 0.924292 0.381686i \(-0.124657\pi\)
−0.792696 + 0.609617i \(0.791323\pi\)
\(294\) 435.988 2472.61i 0.0864876 0.490496i
\(295\) 260.967 1480.02i 0.0515053 0.292101i
\(296\) 485.575 + 841.040i 0.0953495 + 0.165150i
\(297\) 2680.19 4642.22i 0.523637 0.906966i
\(298\) 1250.34 + 1049.16i 0.243055 + 0.203948i
\(299\) 3072.04 + 1118.13i 0.594183 + 0.216265i
\(300\) −1882.22 + 685.072i −0.362233 + 0.131842i
\(301\) −3820.31 + 3205.62i −0.731559 + 0.613851i
\(302\) 314.323 + 1782.61i 0.0598915 + 0.339662i
\(303\) −7614.27 −1.44366
\(304\) 1009.01 + 858.957i 0.190364 + 0.162054i
\(305\) −3296.94 −0.618959
\(306\) −69.5211 394.274i −0.0129878 0.0736573i
\(307\) 3789.23 3179.54i 0.704439 0.591095i −0.218594 0.975816i \(-0.570147\pi\)
0.923033 + 0.384721i \(0.125702\pi\)
\(308\) 1902.52 692.462i 0.351968 0.128106i
\(309\) 5208.48 + 1895.73i 0.958900 + 0.349011i
\(310\) 2883.61 + 2419.64i 0.528316 + 0.443310i
\(311\) 1316.00 2279.38i 0.239947 0.415601i −0.720752 0.693193i \(-0.756203\pi\)
0.960699 + 0.277593i \(0.0895365\pi\)
\(312\) 524.093 + 907.756i 0.0950991 + 0.164716i
\(313\) −1630.87 + 9249.13i −0.294512 + 1.67026i 0.374666 + 0.927160i \(0.377757\pi\)
−0.669178 + 0.743102i \(0.733354\pi\)
\(314\) −486.181 + 2757.27i −0.0873783 + 0.495547i
\(315\) −224.357 388.599i −0.0401305 0.0695081i
\(316\) 1205.32 2087.67i 0.214571 0.371647i
\(317\) −2810.52 2358.31i −0.497964 0.417842i 0.358906 0.933374i \(-0.383150\pi\)
−0.856870 + 0.515532i \(0.827594\pi\)
\(318\) −4794.84 1745.18i −0.845539 0.307751i
\(319\) 1027.08 373.828i 0.180268 0.0656123i
\(320\) 303.884 254.989i 0.0530864 0.0445448i
\(321\) −531.803 3016.00i −0.0924683 0.524414i
\(322\) −3239.02 −0.560570
\(323\) 2421.23 861.811i 0.417093 0.148460i
\(324\) −3446.23 −0.590917
\(325\) −340.594 1931.61i −0.0581316 0.329681i
\(326\) 674.688 566.131i 0.114624 0.0961812i
\(327\) −9347.58 + 3402.24i −1.58080 + 0.575365i
\(328\) 779.328 + 283.652i 0.131193 + 0.0477502i
\(329\) 4143.47 + 3476.78i 0.694337 + 0.582618i
\(330\) −1616.86 + 2800.48i −0.269713 + 0.467156i
\(331\) −2622.24 4541.86i −0.435443 0.754209i 0.561889 0.827213i \(-0.310075\pi\)
−0.997332 + 0.0730039i \(0.976741\pi\)
\(332\) 172.851 980.287i 0.0285736 0.162049i
\(333\) −135.980 + 771.179i −0.0223773 + 0.126908i
\(334\) −778.900 1349.09i −0.127603 0.221015i
\(335\) 2255.12 3905.98i 0.367792 0.637034i
\(336\) −795.546 667.542i −0.129168 0.108385i
\(337\) 4688.54 + 1706.49i 0.757867 + 0.275841i 0.691912 0.721982i \(-0.256769\pi\)
0.0659545 + 0.997823i \(0.478991\pi\)
\(338\) 3164.50 1151.78i 0.509249 0.185351i
\(339\) −7687.19 + 6450.32i −1.23160 + 1.03343i
\(340\) −133.602 757.695i −0.0213105 0.120858i
\(341\) −13695.4 −2.17491
\(342\) 178.054 + 1053.54i 0.0281523 + 0.166576i
\(343\) −6285.21 −0.989416
\(344\) −617.329 3501.05i −0.0967563 0.548732i
\(345\) 3963.02 3325.37i 0.618440 0.518933i
\(346\) −6166.84 + 2244.55i −0.958184 + 0.348750i
\(347\) 2737.62 + 996.411i 0.423524 + 0.154150i 0.544985 0.838446i \(-0.316535\pi\)
−0.121460 + 0.992596i \(0.538758\pi\)
\(348\) −429.478 360.375i −0.0661564 0.0555118i
\(349\) 1135.37 1966.53i 0.174141 0.301621i −0.765723 0.643171i \(-0.777619\pi\)
0.939864 + 0.341550i \(0.110952\pi\)
\(350\) 971.651 + 1682.95i 0.148391 + 0.257021i
\(351\) 467.536 2651.53i 0.0710976 0.403214i
\(352\) −250.620 + 1421.34i −0.0379491 + 0.215220i
\(353\) −2513.52 4353.55i −0.378984 0.656419i 0.611931 0.790911i \(-0.290393\pi\)
−0.990915 + 0.134492i \(0.957060\pi\)
\(354\) 1402.31 2428.87i 0.210542 0.364669i
\(355\) −1070.44 898.205i −0.160037 0.134287i
\(356\) 6253.15 + 2275.96i 0.930944 + 0.338836i
\(357\) −1892.72 + 688.893i −0.280597 + 0.102129i
\(358\) 2075.51 1741.56i 0.306409 0.257108i
\(359\) 962.322 + 5457.60i 0.141475 + 0.802343i 0.970130 + 0.242584i \(0.0779950\pi\)
−0.828656 + 0.559759i \(0.810894\pi\)
\(360\) 319.869 0.0468294
\(361\) −6478.06 + 2254.03i −0.944461 + 0.328624i
\(362\) 6799.61 0.987237
\(363\) −706.226 4005.21i −0.102114 0.579115i
\(364\) 779.019 653.675i 0.112175 0.0941260i
\(365\) 2046.29 744.788i 0.293446 0.106805i
\(366\) −5781.70 2104.37i −0.825723 0.300538i
\(367\) 6503.66 + 5457.22i 0.925037 + 0.776198i 0.974920 0.222557i \(-0.0714404\pi\)
−0.0498829 + 0.998755i \(0.515885\pi\)
\(368\) 1154.48 1999.61i 0.163536 0.283253i
\(369\) 334.366 + 579.139i 0.0471718 + 0.0817040i
\(370\) −261.319 + 1482.01i −0.0367170 + 0.208233i
\(371\) −859.636 + 4875.24i −0.120297 + 0.682237i
\(372\) 3512.46 + 6083.75i 0.489549 + 0.847924i
\(373\) 5484.79 9499.94i 0.761372 1.31873i −0.180772 0.983525i \(-0.557860\pi\)
0.942144 0.335210i \(-0.108807\pi\)
\(374\) 2144.31 + 1799.29i 0.296470 + 0.248768i
\(375\) −7127.53 2594.21i −0.981504 0.357238i
\(376\) −3623.24 + 1318.75i −0.496953 + 0.180876i
\(377\) 420.556 352.889i 0.0574529 0.0482087i
\(378\) 463.221 + 2627.06i 0.0630305 + 0.357464i
\(379\) 1753.10 0.237601 0.118801 0.992918i \(-0.462095\pi\)
0.118801 + 0.992918i \(0.462095\pi\)
\(380\) 342.176 + 2024.65i 0.0461927 + 0.273321i
\(381\) 10104.8 1.35875
\(382\) 1476.15 + 8371.68i 0.197714 + 1.12129i
\(383\) 6916.16 5803.34i 0.922713 0.774248i −0.0517817 0.998658i \(-0.516490\pi\)
0.974495 + 0.224410i \(0.0720456\pi\)
\(384\) 695.662 253.200i 0.0924489 0.0336486i
\(385\) 2948.11 + 1073.03i 0.390259 + 0.142043i
\(386\) −825.402 692.595i −0.108839 0.0913268i
\(387\) 1433.29 2482.53i 0.188264 0.326083i
\(388\) 1692.60 + 2931.67i 0.221466 + 0.383590i
\(389\) −666.788 + 3781.54i −0.0869088 + 0.492884i 0.910020 + 0.414565i \(0.136066\pi\)
−0.996928 + 0.0783189i \(0.975045\pi\)
\(390\) −282.048 + 1599.57i −0.0366206 + 0.207686i
\(391\) −2239.10 3878.24i −0.289607 0.501614i
\(392\) 868.224 1503.81i 0.111867 0.193760i
\(393\) 7873.21 + 6606.41i 1.01056 + 0.847962i
\(394\) 2911.52 + 1059.71i 0.372285 + 0.135501i
\(395\) 3510.19 1277.61i 0.447132 0.162743i
\(396\) −891.491 + 748.050i −0.113129 + 0.0949266i
\(397\) −783.616 4444.11i −0.0990644 0.561822i −0.993426 0.114477i \(-0.963481\pi\)
0.894361 0.447345i \(-0.147630\pi\)
\(398\) −466.969 −0.0588116
\(399\) 5064.29 1802.58i 0.635418 0.226170i
\(400\) −1385.29 −0.173162
\(401\) −325.963 1848.63i −0.0405930 0.230215i 0.957761 0.287565i \(-0.0928458\pi\)
−0.998354 + 0.0573506i \(0.981735\pi\)
\(402\) 6447.80 5410.34i 0.799967 0.671252i
\(403\) −6464.12 + 2352.75i −0.799010 + 0.290816i
\(404\) −4948.48 1801.10i −0.609396 0.221802i
\(405\) −4090.84 3432.62i −0.501915 0.421156i
\(406\) −271.965 + 471.057i −0.0332448 + 0.0575817i
\(407\) −2737.55 4741.57i −0.333403 0.577471i
\(408\) 249.328 1414.01i 0.0302539 0.171578i
\(409\) 1691.95 9595.52i 0.204551 1.16007i −0.693593 0.720367i \(-0.743973\pi\)
0.898144 0.439701i \(-0.144916\pi\)
\(410\) 642.568 + 1112.96i 0.0774004 + 0.134061i
\(411\) −1786.24 + 3093.87i −0.214377 + 0.371312i
\(412\) 2936.54 + 2464.05i 0.351148 + 0.294648i
\(413\) −2556.91 930.639i −0.304642 0.110881i
\(414\) 1749.52 636.773i 0.207691 0.0755934i
\(415\) 1181.60 991.479i 0.139765 0.117277i
\(416\) 125.883 + 713.916i 0.0148363 + 0.0841409i
\(417\) 11233.0 1.31915
\(418\) −5688.53 4842.58i −0.665634 0.566647i
\(419\) −5602.13 −0.653179 −0.326589 0.945166i \(-0.605899\pi\)
−0.326589 + 0.945166i \(0.605899\pi\)
\(420\) −279.445 1584.81i −0.0324655 0.184121i
\(421\) −9888.42 + 8297.37i −1.14473 + 0.960544i −0.999583 0.0288657i \(-0.990810\pi\)
−0.145149 + 0.989410i \(0.546366\pi\)
\(422\) −6972.77 + 2537.88i −0.804335 + 0.292754i
\(423\) −2921.56 1063.36i −0.335818 0.122228i
\(424\) −2703.33 2268.37i −0.309636 0.259815i
\(425\) −1343.38 + 2326.81i −0.153326 + 0.265569i
\(426\) −1303.88 2258.38i −0.148293 0.256852i
\(427\) −1036.56 + 5878.65i −0.117477 + 0.666247i
\(428\) 367.797 2085.88i 0.0415377 0.235572i
\(429\) −2954.70 5117.70i −0.332528 0.575955i
\(430\) 2754.42 4770.80i 0.308907 0.535043i
\(431\) −6098.98 5117.65i −0.681618 0.571946i 0.234860 0.972029i \(-0.424537\pi\)
−0.916479 + 0.400083i \(0.868981\pi\)
\(432\) −1786.92 650.386i −0.199012 0.0724345i
\(433\) 9433.95 3433.68i 1.04704 0.381090i 0.239493 0.970898i \(-0.423019\pi\)
0.807543 + 0.589808i \(0.200797\pi\)
\(434\) 5220.97 4380.91i 0.577452 0.484540i
\(435\) −150.859 855.564i −0.0166279 0.0943015i
\(436\) −6879.72 −0.755685
\(437\) 5902.05 + 10392.6i 0.646072 + 1.13763i
\(438\) 4063.87 0.443331
\(439\) 670.313 + 3801.53i 0.0728754 + 0.413297i 0.999320 + 0.0368663i \(0.0117376\pi\)
−0.926445 + 0.376431i \(0.877151\pi\)
\(440\) −1713.22 + 1437.56i −0.185624 + 0.155757i
\(441\) 1315.73 478.885i 0.142072 0.0517099i
\(442\) 1321.20 + 480.879i 0.142179 + 0.0517491i
\(443\) 476.684 + 399.986i 0.0511241 + 0.0428982i 0.667992 0.744169i \(-0.267154\pi\)
−0.616868 + 0.787067i \(0.711599\pi\)
\(444\) −1404.20 + 2432.14i −0.150091 + 0.259965i
\(445\) 5155.81 + 8930.12i 0.549233 + 0.951300i
\(446\) −153.490 + 870.487i −0.0162959 + 0.0924187i
\(447\) −819.631 + 4648.36i −0.0867276 + 0.491856i
\(448\) −359.119 622.013i −0.0378723 0.0655967i
\(449\) −6693.95 + 11594.3i −0.703579 + 1.21863i 0.263623 + 0.964626i \(0.415082\pi\)
−0.967202 + 0.254008i \(0.918251\pi\)
\(450\) −855.684 718.004i −0.0896385 0.0752156i
\(451\) −4393.65 1599.16i −0.458734 0.166966i
\(452\) −6521.64 + 2373.68i −0.678655 + 0.247010i
\(453\) −4009.89 + 3364.69i −0.415896 + 0.348978i
\(454\) −1782.46 10108.8i −0.184262 1.04500i
\(455\) 1575.83 0.162365
\(456\) −692.230 + 3768.94i −0.0710891 + 0.387054i
\(457\) 4190.76 0.428962 0.214481 0.976728i \(-0.431194\pi\)
0.214481 + 0.976728i \(0.431194\pi\)
\(458\) −54.6971 310.203i −0.00558041 0.0316481i
\(459\) −2825.28 + 2370.69i −0.287305 + 0.241077i
\(460\) 3362.14 1223.72i 0.340783 0.124035i
\(461\) −2970.33 1081.11i −0.300091 0.109224i 0.187586 0.982248i \(-0.439934\pi\)
−0.487677 + 0.873024i \(0.662156\pi\)
\(462\) 4485.09 + 3763.43i 0.451656 + 0.378984i
\(463\) 4040.83 6998.92i 0.405601 0.702521i −0.588790 0.808286i \(-0.700396\pi\)
0.994391 + 0.105765i \(0.0337290\pi\)
\(464\) −193.872 335.796i −0.0193971 0.0335968i
\(465\) −1890.28 + 10720.3i −0.188515 + 1.06912i
\(466\) 2128.90 12073.6i 0.211629 1.20021i
\(467\) 2170.91 + 3760.12i 0.215113 + 0.372586i 0.953307 0.302002i \(-0.0976548\pi\)
−0.738195 + 0.674588i \(0.764321\pi\)
\(468\) −292.269 + 506.226i −0.0288679 + 0.0500006i
\(469\) −6255.58 5249.05i −0.615897 0.516799i
\(470\) −5614.50 2043.51i −0.551016 0.200554i
\(471\) −7608.28 + 2769.19i −0.744312 + 0.270907i
\(472\) 1485.88 1246.80i 0.144901 0.121586i
\(473\) 3480.34 + 19738.0i 0.338322 + 1.91872i
\(474\) 6971.14 0.675517
\(475\) 3629.33 6184.22i 0.350579 0.597372i
\(476\) −1393.02 −0.134136
\(477\) −494.122 2802.30i −0.0474303 0.268991i
\(478\) −9672.63 + 8116.30i −0.925556 + 0.776634i
\(479\) 7451.46 2712.11i 0.710785 0.258705i 0.0387764 0.999248i \(-0.487654\pi\)
0.672009 + 0.740543i \(0.265432\pi\)
\(480\) 1077.98 + 392.354i 0.102506 + 0.0373093i
\(481\) −2106.67 1767.70i −0.199700 0.167568i
\(482\) −3175.75 + 5500.55i −0.300106 + 0.519799i
\(483\) −4683.35 8111.80i −0.441200 0.764181i
\(484\) 488.428 2770.02i 0.0458704 0.260144i
\(485\) −910.897 + 5165.95i −0.0852818 + 0.483657i
\(486\) −1774.00 3072.66i −0.165577 0.286788i
\(487\) −9033.15 + 15645.9i −0.840515 + 1.45581i 0.0489446 + 0.998801i \(0.484414\pi\)
−0.889460 + 0.457013i \(0.848919\pi\)
\(488\) −3259.73 2735.24i −0.302379 0.253726i
\(489\) 2393.36 + 871.111i 0.221332 + 0.0805583i
\(490\) 2528.49 920.297i 0.233114 0.0848464i
\(491\) 12880.1 10807.7i 1.18386 0.993372i 0.183910 0.982943i \(-0.441125\pi\)
0.999946 0.0104293i \(-0.00331982\pi\)
\(492\) 416.464 + 2361.89i 0.0381619 + 0.216427i
\(493\) −752.026 −0.0687009
\(494\) −3516.86 1308.42i −0.320306 0.119168i
\(495\) −1803.34 −0.163746
\(496\) 843.662 + 4784.64i 0.0763741 + 0.433139i
\(497\) −1938.10 + 1626.26i −0.174921 + 0.146776i
\(498\) 2704.96 984.524i 0.243398 0.0885895i
\(499\) −9701.05 3530.89i −0.870297 0.316762i −0.132010 0.991248i \(-0.542143\pi\)
−0.738288 + 0.674486i \(0.764365\pi\)
\(500\) −4018.50 3371.93i −0.359426 0.301594i
\(501\) 2252.45 3901.35i 0.200862 0.347903i
\(502\) −3923.04 6794.90i −0.348792 0.604126i
\(503\) 2395.25 13584.1i 0.212324 1.20415i −0.673167 0.739491i \(-0.735066\pi\)
0.885491 0.464657i \(-0.153822\pi\)
\(504\) 100.567 570.345i 0.00888814 0.0504071i
\(505\) −4080.09 7066.93i −0.359528 0.622721i
\(506\) −6508.65 + 11273.3i −0.571827 + 0.990434i
\(507\) 7460.12 + 6259.78i 0.653482 + 0.548337i
\(508\) 6567.05 + 2390.21i 0.573555 + 0.208757i
\(509\) 4714.16 1715.81i 0.410514 0.149415i −0.128505 0.991709i \(-0.541018\pi\)
0.539018 + 0.842294i \(0.318795\pi\)
\(510\) 1704.39 1430.15i 0.147984 0.124173i
\(511\) −684.646 3882.82i −0.0592699 0.336137i
\(512\) 512.000 0.0441942
\(513\) 7585.01 6273.22i 0.652800 0.539902i
\(514\) 2501.21 0.214638
\(515\) 1031.49 + 5849.90i 0.0882584 + 0.500538i
\(516\) 7875.41 6608.25i 0.671891 0.563783i
\(517\) 20426.9 7434.79i 1.73767 0.632459i
\(518\) 2560.36 + 931.893i 0.217173 + 0.0790445i
\(519\) −14538.0 12198.8i −1.22957 1.03173i
\(520\) −561.668 + 972.838i −0.0473669 + 0.0820419i
\(521\) 2906.58 + 5034.34i 0.244413 + 0.423337i 0.961967 0.273167i \(-0.0880713\pi\)
−0.717553 + 0.696504i \(0.754738\pi\)
\(522\) 54.2916 307.903i 0.00455226 0.0258171i
\(523\) 3210.57 18208.1i 0.268429 1.52234i −0.490660 0.871351i \(-0.663244\pi\)
0.759089 0.650987i \(-0.225645\pi\)
\(524\) 3554.06 + 6155.82i 0.296298 + 0.513203i
\(525\) −2809.85 + 4866.80i −0.233584 + 0.404580i
\(526\) 7412.92 + 6220.18i 0.614484 + 0.515614i
\(527\) 8854.68 + 3222.84i 0.731908 + 0.266393i
\(528\) −3921.97 + 1427.48i −0.323261 + 0.117657i
\(529\) 6632.61 5565.42i 0.545131 0.457419i
\(530\) −949.577 5385.32i −0.0778245 0.441365i
\(531\) 1564.04 0.127822
\(532\) 3717.65 + 26.4324i 0.302971 + 0.00215411i
\(533\) −2348.50 −0.190853
\(534\) 3341.61 + 18951.2i 0.270797 + 1.53577i
\(535\) 2514.23 2109.69i 0.203177 0.170486i
\(536\) 5470.17 1990.98i 0.440812 0.160442i
\(537\) 7362.59 + 2679.76i 0.591656 + 0.215345i
\(538\) −3792.44 3182.24i −0.303911 0.255011i
\(539\) −4894.83 + 8478.09i −0.391160 + 0.677509i
\(540\) −1473.34 2551.90i −0.117412 0.203364i
\(541\) 178.227 1010.78i 0.0141638 0.0803266i −0.976907 0.213667i \(-0.931459\pi\)
0.991070 + 0.133340i \(0.0425704\pi\)
\(542\) −342.990 + 1945.19i −0.0271821 + 0.154157i
\(543\) 9831.66 + 17028.9i 0.777011 + 1.34582i
\(544\) 496.511 859.982i 0.0391318 0.0677783i
\(545\) −8166.55 6852.55i −0.641866 0.538589i
\(546\) 2763.46 + 1005.82i 0.216603 + 0.0788369i
\(547\) −607.501 + 221.112i −0.0474861 + 0.0172835i −0.365654 0.930751i \(-0.619155\pi\)
0.318168 + 0.948034i \(0.396932\pi\)
\(548\) −1892.70 + 1588.17i −0.147541 + 0.123801i
\(549\) −595.820 3379.06i −0.0463187 0.262687i
\(550\) 7809.93 0.605484
\(551\) 2006.98 + 14.2696i 0.155173 + 0.00110328i
\(552\) 6677.10 0.514848
\(553\) −1174.44 6660.57i −0.0903113 0.512181i
\(554\) 4968.37 4168.95i 0.381021 0.319715i
\(555\) −4089.39 + 1488.42i −0.312766 + 0.113837i
\(556\) 7300.29 + 2657.09i 0.556837 + 0.202672i
\(557\) −16711.9 14023.0i −1.27129 1.06674i −0.994383 0.105839i \(-0.966247\pi\)
−0.276904 0.960898i \(-0.589308\pi\)
\(558\) −1958.78 + 3392.71i −0.148605 + 0.257392i
\(559\) 5033.52 + 8718.32i 0.380850 + 0.659652i
\(560\) 193.265 1096.06i 0.0145838 0.0827089i
\(561\) −1405.65 + 7971.83i −0.105787 + 0.599948i
\(562\) −4950.83 8575.09i −0.371598 0.643627i
\(563\) 4002.31 6932.21i 0.299605 0.518930i −0.676441 0.736497i \(-0.736479\pi\)
0.976045 + 0.217567i \(0.0698119\pi\)
\(564\) −8541.58 7167.23i −0.637704 0.535097i
\(565\) −10105.8 3678.21i −0.752486 0.273882i
\(566\) −14515.8 + 5283.31i −1.07799 + 0.392357i
\(567\) −7406.74 + 6214.99i −0.548596 + 0.460326i
\(568\) −313.180 1776.13i −0.0231351 0.131206i
\(569\) 23734.5 1.74869 0.874344 0.485307i \(-0.161292\pi\)
0.874344 + 0.485307i \(0.161292\pi\)
\(570\) −4575.76 + 3784.41i −0.336241 + 0.278090i
\(571\) −23049.1 −1.68927 −0.844635 0.535342i \(-0.820183\pi\)
−0.844635 + 0.535342i \(0.820183\pi\)
\(572\) −709.694 4024.88i −0.0518773 0.294211i
\(573\) −18831.6 + 15801.6i −1.37295 + 1.15205i
\(574\) 2186.50 795.820i 0.158994 0.0578691i
\(575\) −11740.9 4273.35i −0.851532 0.309932i
\(576\) 316.258 + 265.372i 0.0228775 + 0.0191965i
\(577\) −2105.88 + 3647.49i −0.151939 + 0.263166i −0.931940 0.362612i \(-0.881885\pi\)
0.780001 + 0.625778i \(0.215218\pi\)
\(578\) 3950.02 + 6841.64i 0.284255 + 0.492343i
\(579\) 541.072 3068.57i 0.0388362 0.220251i
\(580\) 104.335 591.711i 0.00746942 0.0423612i
\(581\) −1396.37 2418.58i −0.0997094 0.172702i
\(582\) −4894.72 + 8477.90i −0.348613 + 0.603815i
\(583\) 15240.7 + 12788.5i 1.08269 + 0.908481i
\(584\) 2641.09 + 961.277i 0.187139 + 0.0681129i
\(585\) −851.164 + 309.798i −0.0601561 + 0.0218950i
\(586\) −2022.36 + 1696.96i −0.142564 + 0.119626i
\(587\) −1004.34 5695.87i −0.0706190 0.400500i −0.999543 0.0302298i \(-0.990376\pi\)
0.928924 0.370271i \(-0.120735\pi\)
\(588\) 5021.51 0.352183
\(589\) −23569.9 8769.02i −1.64887 0.613449i
\(590\) 3005.70 0.209733
\(591\) 1555.88 + 8823.84i 0.108292 + 0.614153i
\(592\) −1487.89 + 1248.49i −0.103297 + 0.0866764i
\(593\) −4353.71 + 1584.62i −0.301493 + 0.109735i −0.488337 0.872655i \(-0.662396\pi\)
0.186844 + 0.982390i \(0.440174\pi\)
\(594\) 10074.2 + 3666.71i 0.695875 + 0.253278i
\(595\) −1653.58 1387.52i −0.113933 0.0956012i
\(596\) −1632.21 + 2827.07i −0.112178 + 0.194297i
\(597\) −675.197 1169.48i −0.0462881 0.0801733i
\(598\) −1135.38 + 6439.06i −0.0776407 + 0.440322i
\(599\) −2468.46 + 13999.4i −0.168378 + 0.954922i 0.777134 + 0.629335i \(0.216673\pi\)
−0.945512 + 0.325586i \(0.894438\pi\)
\(600\) −2003.02 3469.32i −0.136288 0.236058i
\(601\) 1923.40 3331.43i 0.130544 0.226110i −0.793342 0.608776i \(-0.791661\pi\)
0.923887 + 0.382666i \(0.124994\pi\)
\(602\) −7640.63 6411.25i −0.517290 0.434058i
\(603\) 4410.81 + 1605.40i 0.297881 + 0.108420i
\(604\) −3401.90 + 1238.19i −0.229174 + 0.0834126i
\(605\) 3338.87 2801.64i 0.224371 0.188269i
\(606\) −2644.41 14997.2i −0.177264 1.00531i
\(607\) 15984.6 1.06886 0.534428 0.845214i \(-0.320527\pi\)
0.534428 + 0.845214i \(0.320527\pi\)
\(608\) −1341.39 + 2285.67i −0.0894746 + 0.152461i
\(609\) −1572.95 −0.104662
\(610\) −1145.02 6493.71i −0.0760006 0.431021i
\(611\) 8364.13 7018.34i 0.553808 0.464700i
\(612\) 752.423 273.860i 0.0496976 0.0180884i
\(613\) −10844.6 3947.13i −0.714537 0.260070i −0.0409322 0.999162i \(-0.513033\pi\)
−0.673605 + 0.739092i \(0.735255\pi\)
\(614\) 7578.46 + 6359.08i 0.498114 + 0.417967i
\(615\) −1858.20 + 3218.49i −0.121837 + 0.211028i
\(616\) 2024.62 + 3506.75i 0.132426 + 0.229368i
\(617\) 3147.78 17852.0i 0.205389 1.16482i −0.691437 0.722436i \(-0.743022\pi\)
0.896826 0.442383i \(-0.145867\pi\)
\(618\) −1924.98 + 10917.1i −0.125298 + 0.710598i
\(619\) 10573.1 + 18313.2i 0.686542 + 1.18913i 0.972950 + 0.231017i \(0.0742054\pi\)
−0.286408 + 0.958108i \(0.592461\pi\)
\(620\) −3764.28 + 6519.93i −0.243834 + 0.422333i
\(621\) −13138.6 11024.6i −0.849007 0.712401i
\(622\) 4946.55 + 1800.40i 0.318872 + 0.116060i
\(623\) 17543.9 6385.47i 1.12822 0.410640i
\(624\) −1605.91 + 1347.52i −0.103026 + 0.0864488i
\(625\) 467.779 + 2652.91i 0.0299379 + 0.169786i
\(626\) −18783.6 −1.19927
\(627\) 3902.62 21248.3i 0.248573 1.35339i
\(628\) −5599.61 −0.355810
\(629\) 654.146 + 3709.85i 0.0414666 + 0.235169i
\(630\) 687.471 576.857i 0.0434754 0.0364802i
\(631\) 5315.79 1934.79i 0.335370 0.122065i −0.168846 0.985642i \(-0.554004\pi\)
0.504215 + 0.863578i \(0.331782\pi\)
\(632\) 4530.51 + 1648.97i 0.285149 + 0.103786i
\(633\) −16437.9 13793.0i −1.03214 0.866072i
\(634\) 3668.88 6354.68i 0.229826 0.398070i
\(635\) 5414.63 + 9378.41i 0.338383 + 0.586096i
\(636\) 1772.10 10050.1i 0.110485 0.626591i
\(637\) −853.862 + 4842.49i −0.0531103 + 0.301203i
\(638\) 1093.00 + 1893.13i 0.0678248 + 0.117476i
\(639\) 727.129 1259.42i 0.0450153 0.0779688i
\(640\) 607.768 + 509.978i 0.0375377 + 0.0314979i
\(641\) −1404.44 511.175i −0.0865399 0.0314980i 0.298387 0.954445i \(-0.403551\pi\)
−0.384927 + 0.922947i \(0.625773\pi\)
\(642\) 5755.67 2094.89i 0.353829 0.128783i
\(643\) −20493.7 + 17196.2i −1.25691 + 1.05467i −0.260904 + 0.965365i \(0.584021\pi\)
−0.996004 + 0.0893066i \(0.971535\pi\)
\(644\) −1124.90 6379.63i −0.0688312 0.390361i
\(645\) 15930.6 0.972509
\(646\) 2538.32 + 4469.59i 0.154596 + 0.272219i
\(647\) −13915.0 −0.845527 −0.422763 0.906240i \(-0.638940\pi\)
−0.422763 + 0.906240i \(0.638940\pi\)
\(648\) −1196.86 6787.75i −0.0725574 0.411494i
\(649\) −8377.03 + 7029.17i −0.506668 + 0.425145i
\(650\) 3686.24 1341.68i 0.222440 0.0809616i
\(651\) 18520.6 + 6740.95i 1.11502 + 0.405835i
\(652\) 1349.38 + 1132.26i 0.0810516 + 0.0680104i
\(653\) 6736.27 11667.6i 0.403692 0.699215i −0.590477 0.807055i \(-0.701060\pi\)
0.994168 + 0.107840i \(0.0343935\pi\)
\(654\) −9947.49 17229.6i −0.594767 1.03017i
\(655\) −1912.67 + 10847.3i −0.114098 + 0.647081i
\(656\) −288.028 + 1633.49i −0.0171427 + 0.0972210i
\(657\) 1133.14 + 1962.66i 0.0672879 + 0.116546i
\(658\) −5408.91 + 9368.51i −0.320458 + 0.555050i
\(659\) −7984.49 6699.78i −0.471975 0.396034i 0.375539 0.926806i \(-0.377457\pi\)
−0.847514 + 0.530772i \(0.821902\pi\)
\(660\) −6077.40 2211.99i −0.358428 0.130457i
\(661\) −4257.65 + 1549.66i −0.250534 + 0.0911871i −0.464235 0.885712i \(-0.653671\pi\)
0.213700 + 0.976899i \(0.431448\pi\)
\(662\) 8035.02 6742.18i 0.471737 0.395834i
\(663\) 706.037 + 4004.13i 0.0413577 + 0.234551i
\(664\) 1990.82 0.116354
\(665\) 4386.70 + 3734.34i 0.255803 + 0.217762i
\(666\) −1566.15 −0.0911218
\(667\) −607.281 3444.06i −0.0352534 0.199932i
\(668\) 2386.69 2002.67i 0.138239 0.115996i
\(669\) −2401.98 + 874.249i −0.138813 + 0.0505238i
\(670\) 8476.46 + 3085.18i 0.488768 + 0.177897i
\(671\) 18377.5 + 15420.6i 1.05731 + 0.887190i
\(672\) 1038.51 1798.75i 0.0596153 0.103257i
\(673\) 10162.3 + 17601.7i 0.582064 + 1.00816i 0.995234 + 0.0975109i \(0.0310881\pi\)
−0.413170 + 0.910654i \(0.635579\pi\)
\(674\) −1732.81 + 9827.28i −0.0990290 + 0.561621i
\(675\) −1786.86 + 10133.8i −0.101891 + 0.577852i
\(676\) 3367.59 + 5832.84i 0.191602 + 0.331864i
\(677\) 6181.51 10706.7i 0.350923 0.607816i −0.635489 0.772110i \(-0.719201\pi\)
0.986411 + 0.164294i \(0.0525346\pi\)
\(678\) −15374.4 12900.6i −0.870870 0.730746i
\(679\) 8924.81 + 3248.37i 0.504423 + 0.183595i
\(680\) 1445.97 526.289i 0.0815446 0.0296798i
\(681\) 22739.3 19080.5i 1.27955 1.07367i
\(682\) −4756.35 26974.6i −0.267053 1.51453i
\(683\) 12962.3 0.726189 0.363095 0.931752i \(-0.381720\pi\)
0.363095 + 0.931752i \(0.381720\pi\)
\(684\) −2013.24 + 716.591i −0.112541 + 0.0400578i
\(685\) −3828.62 −0.213553
\(686\) −2182.83 12379.5i −0.121488 0.688994i
\(687\) 697.784 585.510i 0.0387513 0.0325162i
\(688\) 6681.32 2431.80i 0.370237 0.134755i
\(689\) 9390.47 + 3417.85i 0.519229 + 0.188984i
\(690\) 7926.04 + 6650.73i 0.437303 + 0.366941i
\(691\) −12128.4 + 21007.1i −0.667710 + 1.15651i 0.310833 + 0.950464i \(0.399392\pi\)
−0.978543 + 0.206043i \(0.933941\pi\)
\(692\) −6562.62 11366.8i −0.360511 0.624423i
\(693\) −566.973 + 3215.46i −0.0310787 + 0.176256i
\(694\) −1011.78 + 5738.10i −0.0553411 + 0.313855i
\(695\) 6019.20 + 10425.6i 0.328520 + 0.569013i
\(696\) 560.644 971.064i 0.0305333 0.0528852i
\(697\) 2464.38 + 2067.86i 0.133924 + 0.112375i
\(698\) 4267.61 + 1553.28i 0.231420 + 0.0842301i
\(699\) 33315.2 12125.8i 1.80272 0.656135i
\(700\) −2977.31 + 2498.26i −0.160760 + 0.134893i
\(701\) −3125.57 17726.0i −0.168404 0.955067i −0.945485 0.325666i \(-0.894411\pi\)
0.777081 0.629401i \(-0.216700\pi\)
\(702\) 5384.87 0.289514
\(703\) −1675.37 9913.13i −0.0898831 0.531836i
\(704\) −2886.53 −0.154531
\(705\) −3000.33 17015.7i −0.160282 0.909004i
\(706\) 7701.88 6462.64i 0.410572 0.344511i
\(707\) −13883.5 + 5053.19i −0.738535 + 0.268805i
\(708\) 5270.96 + 1918.47i 0.279795 + 0.101837i
\(709\) 24119.0 + 20238.2i 1.27758 + 1.07202i 0.993572 + 0.113199i \(0.0361099\pi\)
0.284012 + 0.958821i \(0.408335\pi\)
\(710\) 1397.36 2420.30i 0.0738619 0.127933i
\(711\) 1943.79 + 3366.74i 0.102528 + 0.177585i
\(712\) −2311.07 + 13106.7i −0.121645 + 0.689881i
\(713\) −7609.28 + 43154.4i −0.399677 + 2.26668i
\(714\) −2014.19 3488.68i −0.105573 0.182858i
\(715\) 3166.54 5484.61i 0.165625 0.286871i
\(716\) 4151.03 + 3483.13i 0.216664 + 0.181802i
\(717\) −34312.2 12488.6i −1.78719 0.650484i
\(718\) −10415.2 + 3790.81i −0.541351 + 0.197036i
\(719\) 5221.62 4381.46i 0.270840 0.227261i −0.497244 0.867611i \(-0.665655\pi\)
0.768084 + 0.640349i \(0.221210\pi\)
\(720\) 111.089 + 630.019i 0.00575007 + 0.0326103i
\(721\) 10755.0 0.555531
\(722\) −6689.38 11976.5i −0.344810 0.617338i
\(723\) −18367.4 −0.944802
\(724\) 2361.48 + 13392.6i 0.121221 + 0.687476i
\(725\) −1607.31 + 1348.69i −0.0823366 + 0.0690886i
\(726\) 7643.45 2781.99i 0.390737 0.142217i
\(727\) −28882.1 10512.2i −1.47342 0.536281i −0.524393 0.851476i \(-0.675708\pi\)
−0.949027 + 0.315195i \(0.897930\pi\)
\(728\) 1558.04 + 1307.35i 0.0793197 + 0.0665572i
\(729\) −6500.91 + 11259.9i −0.330281 + 0.572063i
\(730\) 2177.62 + 3771.74i 0.110407 + 0.191231i
\(731\) 2394.61 13580.5i 0.121160 0.687132i
\(732\) 2136.83 12118.6i 0.107896 0.611906i
\(733\) 7919.70 + 13717.3i 0.399073 + 0.691216i 0.993612 0.112852i \(-0.0359985\pi\)
−0.594538 + 0.804067i \(0.702665\pi\)
\(734\) −8489.93 + 14705.0i −0.426933 + 0.739470i
\(735\) 5960.78 + 5001.68i 0.299138 + 0.251007i
\(736\) 4339.41 + 1579.42i 0.217327 + 0.0791007i
\(737\) −30839.4 + 11224.6i −1.54136 + 0.561010i
\(738\) −1024.56 + 859.706i −0.0511036 + 0.0428810i
\(739\) −4653.49 26391.2i −0.231639 1.31369i −0.849577 0.527464i \(-0.823143\pi\)
0.617938 0.786227i \(-0.287968\pi\)
\(740\) −3009.75 −0.149514
\(741\) −1808.27 10699.5i −0.0896470 0.530440i
\(742\) −9900.90 −0.489856
\(743\) −5593.58 31722.7i −0.276189 1.56635i −0.735160 0.677894i \(-0.762893\pi\)
0.458971 0.888451i \(-0.348218\pi\)
\(744\) −10762.8 + 9031.05i −0.530354 + 0.445019i
\(745\) −4753.41 + 1730.10i −0.233760 + 0.0850819i
\(746\) 20616.1 + 7503.64i 1.01181 + 0.368268i
\(747\) 1229.71 + 1031.85i 0.0602314 + 0.0505401i
\(748\) −2799.20 + 4848.36i −0.136830 + 0.236997i
\(749\) −2971.23 5146.32i −0.144948 0.251058i
\(750\) 2634.23 14939.4i 0.128251 0.727349i
\(751\) 5518.64 31297.8i 0.268147 1.52074i −0.491776 0.870722i \(-0.663652\pi\)
0.759923 0.650014i \(-0.225237\pi\)
\(752\) −3855.77 6678.39i −0.186975 0.323851i
\(753\) 11344.8 19649.7i 0.549039 0.950963i
\(754\) 841.112 + 705.777i 0.0406253 + 0.0340887i
\(755\) −5271.52 1918.67i −0.254106 0.0924871i
\(756\) −5013.42 + 1824.73i −0.241185 + 0.0877843i
\(757\) −27969.9 + 23469.5i −1.34291 + 1.12683i −0.362041 + 0.932162i \(0.617920\pi\)
−0.980868 + 0.194673i \(0.937635\pi\)
\(758\) 608.847 + 3452.94i 0.0291746 + 0.165457i
\(759\) −37643.8 −1.80024
\(760\) −3868.94 + 1377.11i −0.184659 + 0.0657275i
\(761\) 22879.6 1.08986 0.544931 0.838481i \(-0.316556\pi\)
0.544931 + 0.838481i \(0.316556\pi\)
\(762\) 3509.36 + 19902.5i 0.166838 + 0.946185i
\(763\) −14786.1 + 12407.0i −0.701563 + 0.588681i
\(764\) −15976.3 + 5814.91i −0.756549 + 0.275361i
\(765\) 1165.94 + 424.368i 0.0551041 + 0.0200563i
\(766\) 13832.3 + 11606.7i 0.652457 + 0.547476i
\(767\) −2746.35 + 4756.82i −0.129290 + 0.223936i
\(768\) 740.308 + 1282.25i 0.0347833 + 0.0602464i
\(769\) 5427.57 30781.3i 0.254516 1.44343i −0.542795 0.839865i \(-0.682634\pi\)