Properties

Label 38.4.e.a.17.1
Level $38$
Weight $4$
Character 38.17
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 17.1
Root \(5.30460 + 0.984808i\) of defining polynomial
Character \(\chi\) \(=\) 38.17
Dual form 38.4.e.a.9.1

$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).

\(n\) \(21\)
\(\chi(n)\) \(e\left(\frac{5}{9}\right)\)

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 0.107715 0.994182i \(-0.465646\pi\)
−0.960373 + 0.278717i \(0.910091\pi\)
\(4\) −3.75877 1.36808i −0.469846 0.171010i
\(5\) −5.82452 + 2.11995i −0.520961 + 0.189614i −0.589098 0.808062i \(-0.700517\pi\)
0.0681370 + 0.997676i \(0.478294\pi\)
\(6\) −8.86108 + 7.43533i −0.602920 + 0.505910i
\(7\) −5.61124 9.71895i −0.302978 0.524774i 0.673831 0.738886i \(-0.264648\pi\)
−0.976809 + 0.214112i \(0.931314\pi\)
\(8\) −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 −0.371702 0.928352i \(-0.621226\pi\)
0.989828 0.142272i \(-0.0454408\pi\)
\(12\) 11.5673 + 20.0352i 0.278266 + 0.481972i
\(13\) 17.3540 14.5617i 0.370241 0.310669i −0.438616 0.898675i \(-0.644531\pi\)
0.808857 + 0.588005i \(0.200087\pi\)
\(14\) −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 0.921937 + 0.387340i \(0.126606\pi\)
−0.998815 + 0.0486599i \(0.984505\pi\)
\(18\) 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 0.873388 0.487025i \(-0.161918\pi\)
0.356001 + 0.934486i \(0.384140\pi\)
\(24\) 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 0.995312 0.0967149i \(-0.0308335\pi\)
−0.968366 + 0.249534i \(0.919722\pi\)
\(30\) 35.8490 62.0923i 0.218170 0.377881i
\(31\) −151.827 262.972i −0.879641 1.52358i −0.851735 0.523973i \(-0.824449\pi\)
−0.0279067 0.999611i \(-0.508884\pi\)
\(32\) 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 0.478885 0.877878i \(-0.341041\pi\)
−0.781383 + 0.624052i \(0.785486\pi\)
\(42\) 121.985 + 44.3990i 0.448160 + 0.163117i
\(43\) 417.583 151.988i 1.48095 0.539021i 0.529898 0.848061i \(-0.322230\pi\)
0.951049 + 0.309040i \(0.100008\pi\)
\(44\) −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 0.783596 + 0.621270i \(0.213383\pi\)
−0.523853 + 0.851809i \(0.675506\pi\)
\(48\) −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 0.817785 0.575523i \(-0.195202\pi\)
0.256520 + 0.966539i \(0.417424\pi\)
\(54\) 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 −0.902466 0.430761i \(-0.858245\pi\)
0.995370 0.0961217i \(-0.0306438\pi\)
\(60\) −109.848 92.1731i −0.236355 0.198325i
\(61\) 499.831 + 181.924i 1.04913 + 0.381851i 0.808333 0.588725i \(-0.200370\pi\)
0.240794 + 0.970576i \(0.422592\pi\)
\(62\) −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 −0.852088 0.523399i \(-0.824664\pi\)
0.621688 0.783265i \(-0.286447\pi\)
\(68\) 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 −0.158842 0.987304i \(-0.550776\pi\)
0.512947 + 0.858420i \(0.328554\pi\)
\(72\) −48.4935 17.6502i −0.0793752 0.0288902i
\(73\) −269.129 225.826i −0.431496 0.362068i 0.401020 0.916069i \(-0.368656\pi\)
−0.832516 + 0.554001i \(0.813100\pi\)
\(74\) −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 0.251848 0.967767i \(-0.418962\pi\)
−0.909331 + 0.416073i \(0.863406\pi\)
\(80\) −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 0.771946 0.635688i \(-0.219283\pi\)
−0.936495 + 0.350681i \(0.885950\pi\)
\(84\) 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 −0.671404 + 0.741091i \(0.734309\pi\)
−0.846421 + 0.532515i \(0.821247\pi\)
\(90\) −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 0.806020 + 0.591888i \(0.201617\pi\)
−0.959849 + 0.280518i \(0.909494\pi\)
\(98\) −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 0.00748768 0.999972i \(-0.497617\pi\)
0.986080 + 0.166269i \(0.0531721\pi\)
\(102\) −179.478 310.865i −0.174225 0.301767i
\(103\) −479.173 + 829.952i −0.458392 + 0.793958i −0.998876 0.0473963i \(-0.984908\pi\)
0.540485 + 0.841354i \(0.318241\pi\)
\(104\) 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 0.721281 0.692643i \(-0.243554\pi\)
−0.960487 + 0.278326i \(0.910220\pi\)
\(108\) 364.178 305.581i 0.324472 0.272265i
\(109\) 1616.21 588.251i 1.42022 0.516919i 0.486111 0.873897i \(-0.338415\pi\)
0.934113 + 0.356978i \(0.116193\pi\)
\(110\) 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 −0.976732 0.214465i \(-0.931199\pi\)
0.0415996 + 0.999134i \(0.486755\pi\)
\(128\) −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 0.690360 + 0.723466i \(0.257452\pi\)
−0.896166 + 0.443719i \(0.853659\pi\)
\(132\) 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 0.516602 0.856226i \(-0.327197\pi\)
−0.154631 + 0.987972i \(0.549419\pi\)
\(138\) −1568.61 + 570.926i −0.967598 + 0.352177i
\(139\) −1487.81 + 1248.42i −0.907875 + 0.761798i −0.971714 0.236163i \(-0.924110\pi\)
0.0638384 + 0.997960i \(0.479666\pi\)
\(140\) −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 0.798267 0.602303i \(-0.205750\pi\)
−0.454535 + 0.890729i \(0.650195\pi\)
\(150\) 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 0.0147144 0.999892i \(-0.495316\pi\)
0.653990 + 0.756503i \(0.273094\pi\)
\(158\) −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 −0.914067 0.405563i \(-0.867075\pi\)
0.808262 + 0.588824i \(0.200409\pi\)
\(164\) 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 0.166830 0.985986i \(-0.446647\pi\)
−0.505980 + 0.862545i \(0.668869\pi\)
\(168\) −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 −0.557182 0.830390i \(-0.688117\pi\)
0.807590 0.589744i \(-0.200771\pi\)
\(174\) −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 −0.972082 0.234643i \(-0.924608\pi\)
0.689247 + 0.724526i \(0.257941\pi\)
\(180\) 27.7723 + 157.505i 0.0115001 + 0.0652206i
\(181\) 590.370 + 3348.16i 0.242441 + 1.37495i 0.826361 + 0.563141i \(0.190407\pi\)
−0.583920 + 0.811812i \(0.698482\pi\)
\(182\) −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 0.562575 0.826747i \(-0.309811\pi\)
−0.716496 + 0.697591i \(0.754255\pi\)
\(194\) 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 0.971419 0.237372i \(-0.0762860\pi\)
−0.691279 + 0.722588i \(0.742953\pi\)
\(198\) 290.940 503.923i 0.104425 0.180870i
\(199\) −40.5441 229.937i −0.0144427 0.0819087i 0.976734 0.214452i \(-0.0687966\pi\)
−0.991177 + 0.132544i \(0.957686\pi\)
\(200\) −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 −0.678840 0.734286i \(-0.737517\pi\)
0.889042 0.457827i \(-0.151372\pi\)
\(212\) −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 −0.278910 0.960317i \(-0.589973\pi\)
0.403622 + 0.914926i \(0.367751\pi\)
\(224\) −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 −0.983305 0.181965i \(-0.941754\pi\)
−0.636290 + 0.771450i \(0.719532\pi\)
\(234\) 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 −0.0229043 0.999738i \(-0.507291\pi\)
0.877250 0.480033i \(-0.159375\pi\)
\(240\) 286.792 + 496.738i 0.0771347 + 0.133601i
\(241\) 2432.76 2041.33i 0.650241 0.545617i −0.256903 0.966437i \(-0.582702\pi\)
0.907144 + 0.420820i \(0.138258\pi\)
\(242\) −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 −0.166004 0.986125i \(-0.553086\pi\)
−0.761035 + 0.648711i \(0.775309\pi\)
\(252\) −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 0.999754 0.0221706i \(-0.00705770\pi\)
−0.947044 + 0.321103i \(0.895947\pi\)
\(258\) −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 0.963890 0.266301i \(-0.0858016\pi\)
−0.0948778 + 0.995489i \(0.530246\pi\)
\(264\) 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 0.402080 0.915605i \(-0.368287\pi\)
−0.831874 + 0.554964i \(0.812732\pi\)
\(270\) −1384.49 503.913i −0.312064 0.113582i
\(271\) 928.041 337.779i 0.208024 0.0757145i −0.235907 0.971776i \(-0.575806\pi\)
0.443930 + 0.896061i \(0.353584\pi\)
\(272\) −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 −0.986549 0.163469i \(-0.947732\pi\)
0.634842 + 0.772642i \(0.281065\pi\)
\(278\) 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 −0.202842 0.979212i \(-0.565018\pi\)
−0.784811 + 0.619735i \(0.787240\pi\)
\(282\) −4270.79 3583.62i −0.901850 0.756742i
\(283\) 1341.20 7606.34i 0.281718 1.59770i −0.435059 0.900402i \(-0.643273\pi\)
0.716777 0.697302i \(-0.245616\pi\)
\(284\) −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 −0.792696 0.609617i \(-0.791323\pi\)
0.924292 + 0.381686i \(0.124657\pi\)
\(294\) 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 0.923033 0.384721i \(-0.125702\pi\)
−0.218594 + 0.975816i \(0.570147\pi\)
\(308\) 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 0.960699 0.277593i \(-0.0895365\pi\)
−0.720752 + 0.693193i \(0.756203\pi\)
\(312\) 524.093 907.756i 0.0950991 0.164716i
\(313\) −1630.87 9249.13i −0.294512 1.67026i −0.669178 0.743102i \(-0.733354\pi\)
0.374666 0.927160i \(-0.377757\pi\)
\(314\) −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 −0.856870 0.515532i \(-0.827594\pi\)
0.358906 + 0.933374i \(0.383150\pi\)
\(318\) −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 −0.997332 0.0730039i \(-0.976741\pi\)
0.561889 + 0.827213i \(0.310075\pi\)
\(332\) 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 0.0659545 0.997823i \(-0.478991\pi\)
0.691912 + 0.721982i \(0.256769\pi\)
\(338\) 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 −0.121460 0.992596i \(-0.538758\pi\)
0.544985 + 0.838446i \(0.316535\pi\)
\(348\) −429.478 + 360.375i −0.0661564 + 0.0555118i
\(349\) 1135.37 + 1966.53i 0.174141 + 0.301621i 0.939864 0.341550i \(-0.110952\pi\)
−0.765723 + 0.643171i \(0.777619\pi\)
\(350\) 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 −0.990915 0.134492i \(-0.957060\pi\)
0.611931 + 0.790911i \(0.290393\pi\)
\(354\) 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 −0.828656 0.559759i \(-0.810894\pi\)
0.970130 0.242584i \(-0.0779950\pi\)
\(360\) 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 −0.0498829 0.998755i \(-0.515885\pi\)
0.974920 + 0.222557i \(0.0714404\pi\)
\(368\) 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 0.942144 + 0.335210i \(0.108807\pi\)
−0.180772 + 0.983525i \(0.557860\pi\)
\(374\) 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 0.974495 0.224410i \(-0.0720456\pi\)
−0.0517817 + 0.998658i \(0.516490\pi\)
\(384\) 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 −0.996928 0.0783189i \(-0.975045\pi\)
0.910020 0.414565i \(-0.136066\pi\)
\(390\) −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 0.894361 + 0.447345i \(0.147630\pi\)
−0.993426 + 0.114477i \(0.963481\pi\)
\(398\) −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 −0.998354 0.0573506i \(-0.981735\pi\)
0.957761 + 0.287565i \(0.0928458\pi\)
\(402\) 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 0.898144 + 0.439701i \(0.144916\pi\)
−0.693593 + 0.720367i \(0.743973\pi\)
\(410\) 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 −0.145149 0.989410i \(-0.546366\pi\)
−0.999583 + 0.0288657i \(0.990810\pi\)
\(422\) −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 −0.916479 0.400083i \(-0.868981\pi\)
0.234860 + 0.972029i \(0.424537\pi\)
\(432\) −1786.92 + 650.386i −0.199012 + 0.0724345i
\(433\) 9433.95 + 3433.68i 1.04704 + 0.381090i 0.807543 0.589808i \(-0.200797\pi\)
0.239493 + 0.970898i \(0.423019\pi\)
\(434\) 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 −0.926445 0.376431i \(-0.877151\pi\)
0.999320 0.0368663i \(-0.0117376\pi\)
\(440\) −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 −0.616868 0.787067i \(-0.711599\pi\)
0.667992 + 0.744169i \(0.267154\pi\)
\(444\) −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 −0.967202 0.254008i \(-0.918251\pi\)
0.263623 0.964626i \(-0.415082\pi\)
\(450\) −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 −0.487677 0.873024i \(-0.662156\pi\)
0.187586 + 0.982248i \(0.439934\pi\)
\(462\) 4485.09 3763.43i 0.451656 0.378984i
\(463\) 4040.83 + 6998.92i 0.405601 + 0.702521i 0.994391 0.105765i \(-0.0337290\pi\)
−0.588790 + 0.808286i \(0.700396\pi\)
\(464\) −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 −0.738195 0.674588i \(-0.764321\pi\)
0.953307 + 0.302002i \(0.0976548\pi\)
\(468\) −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 0.672009 0.740543i \(-0.265432\pi\)
0.0387764 + 0.999248i \(0.487654\pi\)
\(480\) 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 −0.889460 0.457013i \(-0.848919\pi\)
0.0489446 0.998801i \(-0.484414\pi\)
\(488\) −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 0.999946 + 0.0104293i \(0.00331982\pi\)
0.183910 + 0.982943i \(0.441125\pi\)
\(492\) 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 −0.738288 0.674486i \(-0.764365\pi\)
−0.132010 + 0.991248i \(0.542143\pi\)
\(500\) −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 0.885491 + 0.464657i \(0.153822\pi\)
−0.673167 + 0.739491i \(0.735066\pi\)
\(504\) 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 0.539018 0.842294i \(-0.318795\pi\)
−0.128505 + 0.991709i \(0.541018\pi\)
\(510\) 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 −0.717553 0.696504i \(-0.754738\pi\)
0.961967 + 0.273167i \(0.0880713\pi\)
\(522\) 54.2916 + 307.903i 0.00455226 + 0.0258171i
\(523\) 3210.57 + 18208.1i 0.268429 + 1.52234i 0.759089 + 0.650987i \(0.225645\pi\)
−0.490660 + 0.871351i \(0.663244\pi\)
\(524\) 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 0.991070 0.133340i \(-0.0425704\pi\)
−0.976907 + 0.213667i \(0.931459\pi\)
\(542\) −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 0.318168 0.948034i \(-0.396932\pi\)
−0.365654 + 0.930751i \(0.619155\pi\)
\(548\) −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 −0.276904 + 0.960898i \(0.589308\pi\)
−0.994383 + 0.105839i \(0.966247\pi\)
\(558\) −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 0.976045 0.217567i \(-0.0698119\pi\)
−0.676441 + 0.736497i \(0.736479\pi\)
\(564\) −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 0.780001 0.625778i \(-0.215218\pi\)
−0.931940 + 0.362612i \(0.881885\pi\)
\(578\) 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 0.928924 + 0.370271i \(0.120735\pi\)
−0.999543 + 0.0302298i \(0.990376\pi\)
\(588\) 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 0.186844 0.982390i \(-0.440174\pi\)
−0.488337 + 0.872655i \(0.662396\pi\)
\(594\) 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 −0.945512 0.325586i \(-0.894438\pi\)
0.777134 0.629335i \(-0.216673\pi\)
\(600\) −2003.02 + 3469.32i −0.136288 + 0.236058i
\(601\) 1923.40 + 3331.43i 0.130544 + 0.226110i 0.923887 0.382666i \(-0.124994\pi\)
−0.793342 + 0.608776i \(0.791661\pi\)
\(602\) −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 −0.673605 0.739092i \(-0.735255\pi\)
−0.0409322 + 0.999162i \(0.513033\pi\)
\(614\) 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 0.896826 + 0.442383i \(0.145867\pi\)
−0.691437 + 0.722436i \(0.743022\pi\)
\(618\) −1924.98 10917.1i −0.125298 0.710598i
\(619\) 10573.1 18313.2i 0.686542 1.18913i −0.286408 0.958108i \(-0.592461\pi\)
0.972950 0.231017i \(-0.0742054\pi\)
\(620\) −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 0.504215 0.863578i \(-0.331782\pi\)
−0.168846 + 0.985642i \(0.554004\pi\)
\(632\) 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 −0.384927 0.922947i \(-0.625773\pi\)
0.298387 + 0.954445i \(0.403551\pi\)
\(642\) 5755.67 + 2094.89i 0.353829 + 0.128783i
\(643\) −20493.7 17196.2i −1.25691 1.05467i −0.996004 0.0893066i \(-0.971535\pi\)
−0.260904 0.965365i \(-0.584021\pi\)
\(644\) −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 0.994168 0.107840i \(-0.0343935\pi\)
−0.590477 + 0.807055i \(0.701060\pi\)
\(654\) −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 −0.847514 0.530772i \(-0.821902\pi\)
0.375539 + 0.926806i \(0.377457\pi\)
\(660\) −6077.40 + 2211.99i −0.358428 + 0.130457i
\(661\) −4257.65 1549.66i −0.250534 0.0911871i 0.213700 0.976899i \(-0.431448\pi\)
−0.464235 + 0.885712i \(0.653671\pi\)
\(662\) 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 −0.413170 0.910654i \(-0.635579\pi\)
0.995234 0.0975109i \(-0.0310881\pi\)
\(674\) −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 0.986411 0.164294i \(-0.0525346\pi\)
−0.635489 + 0.772110i \(0.719201\pi\)
\(678\) −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 −0.978543 0.206043i \(-0.933941\pi\)
0.310833 0.950464i \(-0.399392\pi\)
\(692\) −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 0.777081 + 0.629401i \(0.216700\pi\)
−0.945485 + 0.325666i \(0.894411\pi\)
\(702\) 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 0.284012 0.958821i \(-0.408335\pi\)
0.993572 0.113199i \(-0.0361099\pi\)
\(710\) 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 0.768084 0.640349i \(-0.221210\pi\)
−0.497244 + 0.867611i \(0.665655\pi\)
\(720\) 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 −0.949027 0.315195i \(-0.897930\pi\)
−0.524393 + 0.851476i \(0.675708\pi\)
\(728\) 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 −0.594538 0.804067i \(-0.702665\pi\)
0.993612 + 0.112852i \(0.0359985\pi\)
\(734\) −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 0.617938 + 0.786227i \(0.287968\pi\)
−0.849577 + 0.527464i \(0.823143\pi\)
\(740\) −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 0.458971 + 0.888451i \(0.348218\pi\)
−0.735160 + 0.677894i \(0.762893\pi\)
\(744\) −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 0.759923 + 0.650014i \(0.225237\pi\)
−0.491776 + 0.870722i \(0.663652\pi\)
\(752\) −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 −0.980868 0.194673i \(-0.937635\pi\)
−0.362041 0.932162i \(-0.617920\pi\)
\(758\) 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 0.797311 + 0.603569i \(0.206255\pi\)