Properties

Label 162.3.h.a.5.18
Level $162$
Weight $3$
Character 162.5
Analytic conductor $4.414$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 5.18
Character \(\chi\) \(=\) 162.5
Dual form 162.3.h.a.65.18

$q$-expansion

\(f(q)\) \(=\) \(q+(0.326140 + 1.37609i) q^{2} +(2.88671 - 0.816639i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(6.99459 - 5.20728i) q^{5} +(2.06524 + 3.70604i) q^{6} +(-4.06903 + 2.67625i) q^{7} +(-1.81808 - 2.16670i) q^{8} +(7.66620 - 4.71480i) q^{9} +O(q^{10})\) \(q+(0.326140 + 1.37609i) q^{2} +(2.88671 - 0.816639i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(6.99459 - 5.20728i) q^{5} +(2.06524 + 3.70604i) q^{6} +(-4.06903 + 2.67625i) q^{7} +(-1.81808 - 2.16670i) q^{8} +(7.66620 - 4.71480i) q^{9} +(9.44691 + 7.92690i) q^{10} +(-0.175095 + 1.49803i) q^{11} +(-4.42630 + 4.05066i) q^{12} +(-4.03892 - 13.4909i) q^{13} +(-5.00984 - 4.72654i) q^{14} +(15.9389 - 20.7440i) q^{15} +(2.38863 - 3.20849i) q^{16} +(3.91777 + 0.690808i) q^{17} +(8.98826 + 9.01172i) q^{18} +(5.84384 + 33.1421i) q^{19} +(-7.82714 + 15.5851i) q^{20} +(-9.56060 + 11.0485i) q^{21} +(-2.11854 + 0.247622i) q^{22} +(-21.1782 + 32.1999i) q^{23} +(-7.01768 - 4.76993i) q^{24} +(14.6384 - 48.8957i) q^{25} +(17.2475 - 9.95787i) q^{26} +(18.2798 - 19.8708i) q^{27} +(4.87025 - 8.43552i) q^{28} +(-31.6339 + 29.8451i) q^{29} +(33.7439 + 15.1680i) q^{30} +(0.170096 - 2.92044i) q^{31} +(5.19421 + 2.24057i) q^{32} +(0.717904 + 4.46738i) q^{33} +(0.327125 + 5.61651i) q^{34} +(-14.5253 + 39.9078i) q^{35} +(-9.46954 + 15.3078i) q^{36} +(12.9051 - 4.69706i) q^{37} +(-43.7007 + 18.8506i) q^{38} +(-22.6764 - 35.6461i) q^{39} +(-23.9993 - 5.68794i) q^{40} +(-3.69932 + 15.6087i) q^{41} +(-18.3218 - 9.55293i) q^{42} +(-25.5187 - 59.1590i) q^{43} +(-1.03169 - 2.83455i) q^{44} +(29.0706 - 72.8981i) q^{45} +(-51.2171 - 18.6415i) q^{46} +(29.9107 - 1.74210i) q^{47} +(4.27512 - 11.2126i) q^{48} +(-10.0132 + 23.2131i) q^{49} +(72.0593 + 4.19698i) q^{50} +(11.8736 - 1.20524i) q^{51} +(19.3281 + 20.4866i) q^{52} +(-54.7971 - 31.6371i) q^{53} +(33.3058 + 18.6741i) q^{54} +(6.57596 + 11.3899i) q^{55} +(13.1964 + 3.95076i) q^{56} +(43.9346 + 90.8993i) q^{57} +(-51.3867 - 33.7976i) q^{58} +(-7.55243 - 64.6152i) q^{59} +(-9.86728 + 51.3817i) q^{60} +(-15.5292 - 7.79904i) q^{61} +(4.07428 - 0.718405i) q^{62} +(-18.5761 + 39.7013i) q^{63} +(-1.38919 + 7.87846i) q^{64} +(-98.5017 - 73.3318i) q^{65} +(-5.91340 + 2.44490i) q^{66} +(68.2451 - 72.3356i) q^{67} +(-7.62216 + 2.28192i) q^{68} +(-34.8396 + 110.247i) q^{69} +(-59.6542 - 6.97257i) q^{70} +(-18.0653 + 21.5294i) q^{71} +(-24.1533 - 8.03849i) q^{72} +(-49.3984 + 41.4501i) q^{73} +(10.6725 + 16.2267i) q^{74} +(2.32674 - 153.102i) q^{75} +(-40.1928 - 53.9883i) q^{76} +(-3.29664 - 6.56415i) q^{77} +(41.6567 - 42.8305i) q^{78} +(-98.2261 + 23.2800i) q^{79} -34.8804i q^{80} +(36.5413 - 72.2892i) q^{81} -22.6855 q^{82} +(17.4041 + 73.4338i) q^{83} +(7.17023 - 28.3281i) q^{84} +(31.0004 - 15.5690i) q^{85} +(73.0856 - 54.4102i) q^{86} +(-66.9454 + 111.988i) q^{87} +(3.56413 - 2.34416i) q^{88} +(37.2396 + 44.3804i) q^{89} +(109.796 + 16.2289i) q^{90} +(52.5396 + 44.0860i) q^{91} +(8.94849 - 76.5592i) q^{92} +(-1.89393 - 8.56938i) q^{93} +(12.1524 + 40.5917i) q^{94} +(213.455 + 201.385i) q^{95} +(16.8239 + 2.22607i) q^{96} +(-6.91580 + 9.28953i) q^{97} +(-35.2091 - 6.20831i) q^{98} +(5.72062 + 12.3098i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q+O(q^{10}) \) Copy content Toggle raw display \( 324 q + 72 q^{18} + 108 q^{20} + 270 q^{21} + 162 q^{23} - 54 q^{27} - 162 q^{29} - 216 q^{30} - 378 q^{33} - 486 q^{35} - 180 q^{36} - 108 q^{38} + 216 q^{41} + 432 q^{45} + 324 q^{47} + 126 q^{51} - 216 q^{57} - 378 q^{59} - 540 q^{63} - 1728 q^{65} - 1008 q^{66} + 702 q^{67} - 216 q^{68} - 1872 q^{69} + 540 q^{70} - 1296 q^{71} - 576 q^{72} - 864 q^{74} - 900 q^{75} + 108 q^{76} - 864 q^{77} - 288 q^{78} + 108 q^{79} + 144 q^{81} + 432 q^{83} + 144 q^{84} - 540 q^{85} + 864 q^{86} + 2016 q^{87} - 216 q^{88} + 1782 q^{89} + 1440 q^{90} + 864 q^{92} + 2124 q^{93} - 756 q^{94} + 2808 q^{95} + 288 q^{96} - 918 q^{97} + 1296 q^{98} + 1800 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(83\)
\(\chi(n)\) \(e\left(\frac{23}{54}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.326140 + 1.37609i 0.163070 + 0.688047i
\(3\) 2.88671 0.816639i 0.962237 0.272213i
\(4\) −1.78727 + 0.897598i −0.446816 + 0.224400i
\(5\) 6.99459 5.20728i 1.39892 1.04146i 0.407155 0.913359i \(-0.366521\pi\)
0.991762 0.128096i \(-0.0408867\pi\)
\(6\) 2.06524 + 3.70604i 0.344207 + 0.617674i
\(7\) −4.06903 + 2.67625i −0.581291 + 0.382321i −0.805832 0.592144i \(-0.798282\pi\)
0.224542 + 0.974464i \(0.427911\pi\)
\(8\) −1.81808 2.16670i −0.227260 0.270838i
\(9\) 7.66620 4.71480i 0.851800 0.523867i
\(10\) 9.44691 + 7.92690i 0.944691 + 0.792690i
\(11\) −0.175095 + 1.49803i −0.0159177 + 0.136185i −0.998860 0.0477273i \(-0.984802\pi\)
0.982943 + 0.183912i \(0.0588762\pi\)
\(12\) −4.42630 + 4.05066i −0.368859 + 0.337555i
\(13\) −4.03892 13.4909i −0.310686 1.03777i −0.960641 0.277792i \(-0.910397\pi\)
0.649955 0.759973i \(-0.274788\pi\)
\(14\) −5.00984 4.72654i −0.357846 0.337610i
\(15\) 15.9389 20.7440i 1.06259 1.38293i
\(16\) 2.38863 3.20849i 0.149290 0.200531i
\(17\) 3.91777 + 0.690808i 0.230457 + 0.0406358i 0.287684 0.957725i \(-0.407115\pi\)
−0.0572270 + 0.998361i \(0.518226\pi\)
\(18\) 8.98826 + 9.01172i 0.499348 + 0.500651i
\(19\) 5.84384 + 33.1421i 0.307571 + 1.74432i 0.611151 + 0.791514i \(0.290707\pi\)
−0.303580 + 0.952806i \(0.598182\pi\)
\(20\) −7.82714 + 15.5851i −0.391357 + 0.779256i
\(21\) −9.56060 + 11.0485i −0.455267 + 0.526118i
\(22\) −2.11854 + 0.247622i −0.0962973 + 0.0112555i
\(23\) −21.1782 + 32.1999i −0.920791 + 1.39999i −0.00427724 + 0.999991i \(0.501361\pi\)
−0.916514 + 0.400004i \(0.869009\pi\)
\(24\) −7.01768 4.76993i −0.292403 0.198747i
\(25\) 14.6384 48.8957i 0.585537 1.95583i
\(26\) 17.2475 9.95787i 0.663367 0.382995i
\(27\) 18.2798 19.8708i 0.677030 0.735955i
\(28\) 4.87025 8.43552i 0.173938 0.301269i
\(29\) −31.6339 + 29.8451i −1.09083 + 1.02914i −0.0913812 + 0.995816i \(0.529128\pi\)
−0.999445 + 0.0333250i \(0.989390\pi\)
\(30\) 33.7439 + 15.1680i 1.12480 + 0.505599i
\(31\) 0.170096 2.92044i 0.00548698 0.0942078i −0.994453 0.105184i \(-0.966457\pi\)
0.999940 + 0.0109762i \(0.00349389\pi\)
\(32\) 5.19421 + 2.24057i 0.162319 + 0.0700177i
\(33\) 0.717904 + 4.46738i 0.0217547 + 0.135375i
\(34\) 0.327125 + 5.61651i 0.00962132 + 0.165192i
\(35\) −14.5253 + 39.9078i −0.415007 + 1.14022i
\(36\) −9.46954 + 15.3078i −0.263043 + 0.425216i
\(37\) 12.9051 4.69706i 0.348786 0.126948i −0.161686 0.986842i \(-0.551693\pi\)
0.510472 + 0.859895i \(0.329471\pi\)
\(38\) −43.7007 + 18.8506i −1.15002 + 0.496069i
\(39\) −22.6764 35.6461i −0.581447 0.914003i
\(40\) −23.9993 5.68794i −0.599983 0.142199i
\(41\) −3.69932 + 15.6087i −0.0902273 + 0.380699i −0.999359 0.0358107i \(-0.988599\pi\)
0.909131 + 0.416510i \(0.136747\pi\)
\(42\) −18.3218 9.55293i −0.436234 0.227451i
\(43\) −25.5187 59.1590i −0.593458 1.37579i −0.904940 0.425538i \(-0.860085\pi\)
0.311483 0.950252i \(-0.399174\pi\)
\(44\) −1.03169 2.83455i −0.0234475 0.0644216i
\(45\) 29.0706 72.8981i 0.646014 1.61996i
\(46\) −51.2171 18.6415i −1.11341 0.405250i
\(47\) 29.9107 1.74210i 0.636397 0.0370659i 0.263086 0.964772i \(-0.415260\pi\)
0.373311 + 0.927706i \(0.378223\pi\)
\(48\) 4.27512 11.2126i 0.0890649 0.233597i
\(49\) −10.0132 + 23.2131i −0.204350 + 0.473737i
\(50\) 72.0593 + 4.19698i 1.44119 + 0.0839395i
\(51\) 11.8736 1.20524i 0.232816 0.0236321i
\(52\) 19.3281 + 20.4866i 0.371694 + 0.393972i
\(53\) −54.7971 31.6371i −1.03391 0.596926i −0.115805 0.993272i \(-0.536945\pi\)
−0.918101 + 0.396346i \(0.870278\pi\)
\(54\) 33.3058 + 18.6741i 0.616775 + 0.345816i
\(55\) 6.57596 + 11.3899i 0.119563 + 0.207089i
\(56\) 13.1964 + 3.95076i 0.235651 + 0.0705492i
\(57\) 43.9346 + 90.8993i 0.770783 + 1.59472i
\(58\) −51.3867 33.7976i −0.885978 0.582717i
\(59\) −7.55243 64.6152i −0.128007 1.09517i −0.892660 0.450730i \(-0.851164\pi\)
0.764653 0.644442i \(-0.222910\pi\)
\(60\) −9.86728 + 51.3817i −0.164455 + 0.856361i
\(61\) −15.5292 7.79904i −0.254576 0.127853i 0.316935 0.948447i \(-0.397346\pi\)
−0.571511 + 0.820594i \(0.693643\pi\)
\(62\) 4.07428 0.718405i 0.0657141 0.0115872i
\(63\) −18.5761 + 39.7013i −0.294858 + 0.630180i
\(64\) −1.38919 + 7.87846i −0.0217060 + 0.123101i
\(65\) −98.5017 73.3318i −1.51541 1.12818i
\(66\) −5.91340 + 2.44490i −0.0895969 + 0.0370439i
\(67\) 68.2451 72.3356i 1.01858 1.07964i 0.0217786 0.999763i \(-0.493067\pi\)
0.996805 0.0798728i \(-0.0254514\pi\)
\(68\) −7.62216 + 2.28192i −0.112091 + 0.0335577i
\(69\) −34.8396 + 110.247i −0.504922 + 1.59778i
\(70\) −59.6542 6.97257i −0.852202 0.0996081i
\(71\) −18.0653 + 21.5294i −0.254441 + 0.303231i −0.878111 0.478457i \(-0.841196\pi\)
0.623670 + 0.781688i \(0.285641\pi\)
\(72\) −24.1533 8.03849i −0.335463 0.111646i
\(73\) −49.3984 + 41.4501i −0.676690 + 0.567810i −0.915037 0.403370i \(-0.867839\pi\)
0.238347 + 0.971180i \(0.423394\pi\)
\(74\) 10.6725 + 16.2267i 0.144222 + 0.219280i
\(75\) 2.32674 153.102i 0.0310231 2.04136i
\(76\) −40.1928 53.9883i −0.528852 0.710372i
\(77\) −3.29664 6.56415i −0.0428135 0.0852487i
\(78\) 41.6567 42.8305i 0.534060 0.549109i
\(79\) −98.2261 + 23.2800i −1.24337 + 0.294684i −0.799093 0.601207i \(-0.794687\pi\)
−0.444275 + 0.895891i \(0.646539\pi\)
\(80\) 34.8804i 0.436004i
\(81\) 36.5413 72.2892i 0.451127 0.892460i
\(82\) −22.6855 −0.276652
\(83\) 17.4041 + 73.4338i 0.209688 + 0.884744i 0.971518 + 0.236967i \(0.0761532\pi\)
−0.761830 + 0.647778i \(0.775699\pi\)
\(84\) 7.17023 28.3281i 0.0853599 0.337240i
\(85\) 31.0004 15.5690i 0.364711 0.183165i
\(86\) 73.0856 54.4102i 0.849833 0.632677i
\(87\) −66.9454 + 111.988i −0.769487 + 1.28721i
\(88\) 3.56413 2.34416i 0.0405015 0.0266382i
\(89\) 37.2396 + 44.3804i 0.418422 + 0.498656i 0.933545 0.358460i \(-0.116698\pi\)
−0.515123 + 0.857116i \(0.672254\pi\)
\(90\) 109.796 + 16.2289i 1.21995 + 0.180321i
\(91\) 52.5396 + 44.0860i 0.577358 + 0.484461i
\(92\) 8.94849 76.5592i 0.0972662 0.832165i
\(93\) −1.89393 8.56938i −0.0203648 0.0921439i
\(94\) 12.1524 + 40.5917i 0.129280 + 0.431827i
\(95\) 213.455 + 201.385i 2.24690 + 2.11984i
\(96\) 16.8239 + 2.22607i 0.175249 + 0.0231882i
\(97\) −6.91580 + 9.28953i −0.0712969 + 0.0957683i −0.836341 0.548209i \(-0.815310\pi\)
0.765044 + 0.643978i \(0.222717\pi\)
\(98\) −35.2091 6.20831i −0.359277 0.0633501i
\(99\) 5.72062 + 12.3098i 0.0577840 + 0.124341i
\(100\) 17.7260 + 100.529i 0.177260 + 1.00529i
\(101\) 14.6950 29.2601i 0.145495 0.289704i −0.809067 0.587716i \(-0.800027\pi\)
0.954562 + 0.298012i \(0.0963236\pi\)
\(102\) 5.53098 + 15.9461i 0.0542253 + 0.156334i
\(103\) 99.1747 11.5919i 0.962861 0.112542i 0.379887 0.925033i \(-0.375963\pi\)
0.582974 + 0.812491i \(0.301889\pi\)
\(104\) −21.8878 + 33.2787i −0.210459 + 0.319988i
\(105\) −9.33995 + 127.064i −0.0889519 + 1.21014i
\(106\) 25.6641 85.7240i 0.242114 0.808717i
\(107\) −89.5019 + 51.6740i −0.836467 + 0.482934i −0.856062 0.516874i \(-0.827096\pi\)
0.0195949 + 0.999808i \(0.493762\pi\)
\(108\) −14.8349 + 51.9223i −0.137360 + 0.480762i
\(109\) 99.8654 172.972i 0.916197 1.58690i 0.111057 0.993814i \(-0.464577\pi\)
0.805140 0.593085i \(-0.202090\pi\)
\(110\) −13.5289 + 12.7638i −0.122990 + 0.116035i
\(111\) 33.4174 24.0979i 0.301058 0.217098i
\(112\) −1.13272 + 19.4480i −0.0101136 + 0.173643i
\(113\) 145.535 + 62.7775i 1.28792 + 0.555554i 0.926305 0.376775i \(-0.122967\pi\)
0.361613 + 0.932328i \(0.382226\pi\)
\(114\) −110.757 + 90.1040i −0.971553 + 0.790386i
\(115\) 19.5410 + 335.505i 0.169921 + 2.91744i
\(116\) 29.7494 81.7357i 0.256460 0.704618i
\(117\) −94.5703 84.3816i −0.808294 0.721210i
\(118\) 86.4534 31.4665i 0.732656 0.266665i
\(119\) −17.7903 + 7.67399i −0.149498 + 0.0644873i
\(120\) −73.9241 + 3.17933i −0.616034 + 0.0264944i
\(121\) 115.525 + 27.3799i 0.954752 + 0.226280i
\(122\) 5.66752 23.9132i 0.0464551 0.196009i
\(123\) 2.06777 + 48.0787i 0.0168111 + 0.390884i
\(124\) 2.31738 + 5.37228i 0.0186885 + 0.0433249i
\(125\) −77.6628 213.377i −0.621302 1.70701i
\(126\) −60.6911 12.6142i −0.481676 0.100113i
\(127\) 150.831 + 54.8982i 1.18765 + 0.432269i 0.858898 0.512147i \(-0.171150\pi\)
0.328752 + 0.944416i \(0.393372\pi\)
\(128\) −11.2946 + 0.657834i −0.0882388 + 0.00513933i
\(129\) −121.977 149.935i −0.945555 1.16229i
\(130\) 68.7860 159.464i 0.529123 1.22665i
\(131\) 7.31427 + 0.426008i 0.0558341 + 0.00325197i 0.0860392 0.996292i \(-0.472579\pi\)
−0.0302050 + 0.999544i \(0.509616\pi\)
\(132\) −5.29300 7.34001i −0.0400985 0.0556061i
\(133\) −112.475 119.217i −0.845678 0.896366i
\(134\) 121.798 + 70.3201i 0.908940 + 0.524777i
\(135\) 24.3871 234.176i 0.180645 1.73464i
\(136\) −5.62603 9.74457i −0.0413679 0.0716513i
\(137\) −27.4193 8.20881i −0.200141 0.0599183i 0.185164 0.982708i \(-0.440719\pi\)
−0.385305 + 0.922789i \(0.625904\pi\)
\(138\) −163.072 11.9867i −1.18168 0.0868605i
\(139\) −73.4965 48.3394i −0.528752 0.347765i 0.256897 0.966439i \(-0.417300\pi\)
−0.785648 + 0.618673i \(0.787670\pi\)
\(140\) −9.86070 84.3637i −0.0704336 0.602598i
\(141\) 84.9208 29.4551i 0.602275 0.208902i
\(142\) −35.5183 17.8379i −0.250129 0.125619i
\(143\) 20.9171 3.68825i 0.146273 0.0257919i
\(144\) 3.18435 35.8589i 0.0221135 0.249020i
\(145\) −65.8547 + 373.481i −0.454171 + 2.57573i
\(146\) −73.1500 54.4582i −0.501028 0.373001i
\(147\) −9.94837 + 75.1867i −0.0676760 + 0.511474i
\(148\) −18.8487 + 19.9785i −0.127356 + 0.134990i
\(149\) −127.096 + 38.0500i −0.852992 + 0.255369i −0.683309 0.730129i \(-0.739460\pi\)
−0.169684 + 0.985499i \(0.554275\pi\)
\(150\) 211.442 46.7310i 1.40961 0.311540i
\(151\) 25.7999 + 3.01558i 0.170860 + 0.0199707i 0.201093 0.979572i \(-0.435551\pi\)
−0.0302325 + 0.999543i \(0.509625\pi\)
\(152\) 61.1844 72.9168i 0.402529 0.479715i
\(153\) 33.2914 13.1756i 0.217591 0.0861152i
\(154\) 7.95772 6.67732i 0.0516735 0.0433592i
\(155\) −14.0178 21.3130i −0.0904374 0.137503i
\(156\) 72.5247 + 43.3547i 0.464902 + 0.277915i
\(157\) −50.8972 68.3668i −0.324186 0.435458i 0.609915 0.792467i \(-0.291204\pi\)
−0.934101 + 0.357010i \(0.883796\pi\)
\(158\) −64.0709 127.576i −0.405512 0.807441i
\(159\) −184.019 46.5777i −1.15735 0.292942i
\(160\) 47.9986 11.3759i 0.299991 0.0710993i
\(161\) 187.700i 1.16584i
\(162\) 111.394 + 26.7078i 0.687619 + 0.164863i
\(163\) 4.39689 0.0269748 0.0134874 0.999909i \(-0.495707\pi\)
0.0134874 + 0.999909i \(0.495707\pi\)
\(164\) −7.39864 31.2173i −0.0451137 0.190349i
\(165\) 28.2843 + 27.5092i 0.171420 + 0.166722i
\(166\) −95.3755 + 47.8994i −0.574551 + 0.288551i
\(167\) −158.988 + 118.362i −0.952026 + 0.708757i −0.956652 0.291232i \(-0.905935\pi\)
0.00462619 + 0.999989i \(0.498527\pi\)
\(168\) 41.3207 + 0.627961i 0.245956 + 0.00373787i
\(169\) −24.4953 + 16.1108i −0.144943 + 0.0953302i
\(170\) 31.5348 + 37.5818i 0.185499 + 0.221069i
\(171\) 201.058 + 226.521i 1.17578 + 1.32469i
\(172\) 98.7097 + 82.8272i 0.573893 + 0.481554i
\(173\) −9.48843 + 81.1787i −0.0548464 + 0.469241i 0.937707 + 0.347428i \(0.112945\pi\)
−0.992553 + 0.121813i \(0.961129\pi\)
\(174\) −175.939 55.5995i −1.01114 0.319537i
\(175\) 71.2928 + 238.134i 0.407387 + 1.36077i
\(176\) 4.38819 + 4.14005i 0.0249329 + 0.0235230i
\(177\) −74.5690 180.358i −0.421294 1.01897i
\(178\) −48.9263 + 65.7194i −0.274867 + 0.369210i
\(179\) 189.757 + 33.4593i 1.06009 + 0.186923i 0.676398 0.736536i \(-0.263540\pi\)
0.383696 + 0.923459i \(0.374651\pi\)
\(180\) 13.4763 + 156.382i 0.0748683 + 0.868789i
\(181\) −46.2796 262.465i −0.255688 1.45008i −0.794300 0.607526i \(-0.792162\pi\)
0.538611 0.842554i \(-0.318949\pi\)
\(182\) −43.5311 + 86.6776i −0.239182 + 0.476251i
\(183\) −51.1972 9.83185i −0.279766 0.0537260i
\(184\) 108.271 12.6551i 0.588430 0.0687776i
\(185\) 65.8068 100.054i 0.355712 0.540834i
\(186\) 11.1746 5.40104i 0.0600784 0.0290378i
\(187\) −1.72084 + 5.74799i −0.00920233 + 0.0307379i
\(188\) −51.8946 + 29.9614i −0.276035 + 0.159369i
\(189\) −21.2021 + 129.776i −0.112180 + 0.686647i
\(190\) −207.508 + 359.414i −1.09215 + 1.89165i
\(191\) −31.6691 + 29.8783i −0.165807 + 0.156431i −0.764673 0.644418i \(-0.777100\pi\)
0.598866 + 0.800849i \(0.295618\pi\)
\(192\) 2.42368 + 23.8773i 0.0126233 + 0.124361i
\(193\) −4.45093 + 76.4196i −0.0230618 + 0.395956i 0.966949 + 0.254968i \(0.0820650\pi\)
−0.990011 + 0.140988i \(0.954972\pi\)
\(194\) −15.0388 6.48710i −0.0775195 0.0334386i
\(195\) −344.232 131.247i −1.76529 0.673063i
\(196\) −2.93988 50.4758i −0.0149994 0.257530i
\(197\) 100.417 275.892i 0.509729 1.40047i −0.371788 0.928318i \(-0.621255\pi\)
0.881517 0.472152i \(-0.156523\pi\)
\(198\) −15.0737 + 11.8868i −0.0761296 + 0.0600344i
\(199\) 58.8855 21.4326i 0.295907 0.107701i −0.189801 0.981823i \(-0.560784\pi\)
0.485708 + 0.874121i \(0.338562\pi\)
\(200\) −132.556 + 57.1792i −0.662781 + 0.285896i
\(201\) 137.932 264.544i 0.686228 1.31614i
\(202\) 45.0572 + 10.6787i 0.223055 + 0.0528651i
\(203\) 48.8468 206.101i 0.240625 1.01528i
\(204\) −20.1395 + 12.8118i −0.0987229 + 0.0628030i
\(205\) 55.4034 + 128.439i 0.270260 + 0.626534i
\(206\) 48.2963 + 132.693i 0.234448 + 0.644141i
\(207\) −10.5403 + 346.702i −0.0509192 + 1.67489i
\(208\) −52.9331 19.2661i −0.254486 0.0926254i
\(209\) −50.6712 + 2.95126i −0.242446 + 0.0141209i
\(210\) −177.898 + 28.5881i −0.847135 + 0.136134i
\(211\) 83.7863 194.238i 0.397091 0.920561i −0.595975 0.803003i \(-0.703234\pi\)
0.993066 0.117558i \(-0.0375066\pi\)
\(212\) 126.334 + 7.35813i 0.595916 + 0.0347082i
\(213\) −34.5676 + 76.9019i −0.162289 + 0.361042i
\(214\) −100.298 106.310i −0.468684 0.496776i
\(215\) −486.550 280.910i −2.26302 1.30656i
\(216\) −76.2882 3.48026i −0.353186 0.0161123i
\(217\) 7.12369 + 12.3386i 0.0328281 + 0.0568599i
\(218\) 270.596 + 81.0110i 1.24126 + 0.371610i
\(219\) −108.749 + 159.995i −0.496571 + 0.730572i
\(220\) −21.9765 14.4542i −0.0998934 0.0657009i
\(221\) −6.50391 55.6445i −0.0294295 0.251785i
\(222\) 44.0597 + 38.1262i 0.198467 + 0.171740i
\(223\) −141.866 71.2478i −0.636171 0.319497i 0.101320 0.994854i \(-0.467693\pi\)
−0.737491 + 0.675357i \(0.763990\pi\)
\(224\) −27.1317 + 4.78406i −0.121124 + 0.0213574i
\(225\) −118.313 443.862i −0.525834 1.97272i
\(226\) −38.9231 + 220.744i −0.172226 + 0.976742i
\(227\) 29.6692 + 22.0879i 0.130701 + 0.0973034i 0.660524 0.750805i \(-0.270334\pi\)
−0.529823 + 0.848108i \(0.677742\pi\)
\(228\) −160.114 123.026i −0.702254 0.539586i
\(229\) −99.6265 + 105.598i −0.435050 + 0.461126i −0.907390 0.420290i \(-0.861928\pi\)
0.472339 + 0.881417i \(0.343410\pi\)
\(230\) −455.314 + 136.312i −1.97962 + 0.592661i
\(231\) −14.8770 16.2566i −0.0644026 0.0703751i
\(232\) 122.178 + 14.2806i 0.526631 + 0.0615543i
\(233\) 266.846 318.014i 1.14526 1.36487i 0.224625 0.974445i \(-0.427884\pi\)
0.920635 0.390423i \(-0.127671\pi\)
\(234\) 85.2738 157.658i 0.364418 0.673751i
\(235\) 200.141 167.938i 0.851664 0.714631i
\(236\) 71.4967 + 108.705i 0.302952 + 0.460616i
\(237\) −264.539 + 147.418i −1.11620 + 0.622017i
\(238\) −16.3623 21.9783i −0.0687490 0.0923459i
\(239\) −58.3496 116.184i −0.244141 0.486124i 0.737872 0.674941i \(-0.235831\pi\)
−0.982012 + 0.188817i \(0.939535\pi\)
\(240\) −28.4847 100.690i −0.118686 0.419540i
\(241\) −157.166 + 37.2489i −0.652139 + 0.154560i −0.543352 0.839505i \(-0.682845\pi\)
−0.108787 + 0.994065i \(0.534697\pi\)
\(242\) 167.903i 0.693813i
\(243\) 46.4500 238.519i 0.191152 0.981560i
\(244\) 34.7551 0.142439
\(245\) 50.8392 + 214.507i 0.207507 + 0.875540i
\(246\) −65.4864 + 18.5258i −0.266205 + 0.0753083i
\(247\) 423.515 212.697i 1.71464 0.861123i
\(248\) −6.63697 + 4.94104i −0.0267620 + 0.0199236i
\(249\) 110.210 + 197.769i 0.442609 + 0.794254i
\(250\) 268.297 176.462i 1.07319 0.705848i
\(251\) 130.485 + 155.506i 0.519862 + 0.619547i 0.960548 0.278114i \(-0.0897093\pi\)
−0.440686 + 0.897661i \(0.645265\pi\)
\(252\) −2.43548 87.6307i −0.00966462 0.347741i
\(253\) −44.5283 37.3637i −0.176001 0.147683i
\(254\) −26.3528 + 225.463i −0.103751 + 0.887648i
\(255\) 76.7749 70.2593i 0.301078 0.275527i
\(256\) −4.58885 15.3278i −0.0179252 0.0598743i
\(257\) 363.279 + 342.736i 1.41354 + 1.33360i 0.868954 + 0.494894i \(0.164793\pi\)
0.544581 + 0.838708i \(0.316689\pi\)
\(258\) 166.544 216.751i 0.645517 0.840121i
\(259\) −39.9407 + 53.6497i −0.154211 + 0.207142i
\(260\) 241.871 + 42.6484i 0.930274 + 0.164032i
\(261\) −101.799 + 377.946i −0.390033 + 1.44807i
\(262\) 1.79925 + 10.2041i 0.00686737 + 0.0389468i
\(263\) −89.3236 + 177.858i −0.339634 + 0.676266i −0.997008 0.0772980i \(-0.975371\pi\)
0.657374 + 0.753564i \(0.271667\pi\)
\(264\) 8.37427 9.67753i 0.0317207 0.0366573i
\(265\) −548.026 + 64.0550i −2.06802 + 0.241717i
\(266\) 127.371 193.658i 0.478837 0.728036i
\(267\) 143.743 + 97.7021i 0.538362 + 0.365926i
\(268\) −57.0438 + 190.540i −0.212850 + 0.710969i
\(269\) −354.778 + 204.831i −1.31888 + 0.761455i −0.983548 0.180646i \(-0.942181\pi\)
−0.335330 + 0.942101i \(0.608848\pi\)
\(270\) 330.202 42.8153i 1.22297 0.158575i
\(271\) 114.887 198.989i 0.423936 0.734278i −0.572385 0.819985i \(-0.693982\pi\)
0.996320 + 0.0857070i \(0.0273149\pi\)
\(272\) 11.5746 10.9200i 0.0425536 0.0401472i
\(273\) 187.669 + 84.3576i 0.687432 + 0.309002i
\(274\) 2.35354 40.4088i 0.00858958 0.147477i
\(275\) 70.6844 + 30.4903i 0.257034 + 0.110874i
\(276\) −36.6895 228.312i −0.132933 0.827218i
\(277\) −5.29449 90.9029i −0.0191137 0.328169i −0.994288 0.106731i \(-0.965962\pi\)
0.975174 0.221439i \(-0.0710753\pi\)
\(278\) 42.5494 116.903i 0.153055 0.420516i
\(279\) −12.4653 23.1907i −0.0446785 0.0831207i
\(280\) 112.876 41.0836i 0.403130 0.146727i
\(281\) 291.608 125.787i 1.03775 0.447642i 0.192098 0.981376i \(-0.438471\pi\)
0.845653 + 0.533734i \(0.179212\pi\)
\(282\) 68.2291 + 107.252i 0.241947 + 0.380328i
\(283\) 138.622 + 32.8540i 0.489830 + 0.116092i 0.468106 0.883672i \(-0.344936\pi\)
0.0217239 + 0.999764i \(0.493085\pi\)
\(284\) 12.9627 54.6941i 0.0456435 0.192585i
\(285\) 780.642 + 407.023i 2.73910 + 1.42815i
\(286\) 11.8973 + 27.5810i 0.0415989 + 0.0964370i
\(287\) −26.7199 73.4125i −0.0931009 0.255793i
\(288\) 50.3837 7.31306i 0.174943 0.0253926i
\(289\) −256.699 93.4310i −0.888233 0.323291i
\(290\) −535.422 + 31.1848i −1.84628 + 0.107534i
\(291\) −12.3777 + 32.4639i −0.0425351 + 0.111560i
\(292\) 51.0824 118.422i 0.174940 0.405556i
\(293\) 510.106 + 29.7103i 1.74097 + 0.101400i 0.898953 0.438044i \(-0.144329\pi\)
0.842021 + 0.539445i \(0.181366\pi\)
\(294\) −106.708 + 10.8315i −0.362954 + 0.0368419i
\(295\) −389.295 412.629i −1.31965 1.39874i
\(296\) −33.6396 19.4218i −0.113647 0.0656143i
\(297\) 26.5664 + 30.8631i 0.0894492 + 0.103916i
\(298\) −93.8114 162.486i −0.314803 0.545255i
\(299\) 519.944 + 155.661i 1.73894 + 0.520605i
\(300\) 133.266 + 275.723i 0.444219 + 0.919076i
\(301\) 262.160 + 172.426i 0.870965 + 0.572843i
\(302\) 4.26467 + 36.4866i 0.0141214 + 0.120817i
\(303\) 18.5252 96.4658i 0.0611392 0.318369i
\(304\) 120.295 + 60.4144i 0.395707 + 0.198732i
\(305\) −149.232 + 26.3136i −0.489285 + 0.0862741i
\(306\) 28.9886 + 41.5150i 0.0947338 + 0.135670i
\(307\) 66.3772 376.444i 0.216212 1.22620i −0.662578 0.748993i \(-0.730538\pi\)
0.878790 0.477208i \(-0.158351\pi\)
\(308\) 11.7839 + 8.77282i 0.0382596 + 0.0284832i
\(309\) 276.822 114.452i 0.895865 0.370396i
\(310\) 24.7569 26.2408i 0.0798611 0.0846478i
\(311\) −558.232 + 167.124i −1.79496 + 0.537375i −0.997794 0.0663882i \(-0.978852\pi\)
−0.797164 + 0.603763i \(0.793667\pi\)
\(312\) −36.0070 + 113.940i −0.115407 + 0.365194i
\(313\) 251.801 + 29.4313i 0.804476 + 0.0940298i 0.508385 0.861130i \(-0.330243\pi\)
0.296091 + 0.955160i \(0.404317\pi\)
\(314\) 77.4795 92.3365i 0.246750 0.294065i
\(315\) 76.8039 + 374.425i 0.243822 + 1.18865i
\(316\) 154.660 129.775i 0.489430 0.410681i
\(317\) −194.198 295.264i −0.612612 0.931431i −0.999955 0.00949553i \(-0.996977\pi\)
0.387343 0.921936i \(-0.373393\pi\)
\(318\) 4.07923 268.419i 0.0128278 0.844084i
\(319\) −39.1700 52.6145i −0.122790 0.164936i
\(320\) 31.3086 + 62.3405i 0.0978392 + 0.194814i
\(321\) −216.167 + 222.259i −0.673418 + 0.692394i
\(322\) 258.293 61.2166i 0.802153 0.190114i
\(323\) 133.880i 0.414489i
\(324\) −0.422294 + 161.999i −0.00130338 + 0.499998i
\(325\) −718.773 −2.21161
\(326\) 1.43400 + 6.05052i 0.00439878 + 0.0185599i
\(327\) 147.027 580.874i 0.449624 1.77637i
\(328\) 40.5449 20.3624i 0.123613 0.0620806i
\(329\) −117.045 + 87.1370i −0.355761 + 0.264854i
\(330\) −28.6305 + 47.8937i −0.0867591 + 0.145132i
\(331\) −350.201 + 230.331i −1.05801 + 0.695863i −0.954332 0.298748i \(-0.903431\pi\)
−0.103676 + 0.994611i \(0.533060\pi\)
\(332\) −97.0198 115.624i −0.292228 0.348264i
\(333\) 76.7872 96.8535i 0.230592 0.290851i
\(334\) −214.730 180.180i −0.642905 0.539461i
\(335\) 100.675 861.329i 0.300522 2.57113i
\(336\) 12.6122 + 57.0659i 0.0375363 + 0.169839i
\(337\) 60.3058 + 201.435i 0.178949 + 0.597731i 0.999652 + 0.0263764i \(0.00839684\pi\)
−0.820703 + 0.571355i \(0.806418\pi\)
\(338\) −30.1589 28.4534i −0.0892274 0.0841817i
\(339\) 471.383 + 62.3713i 1.39051 + 0.183986i
\(340\) −41.4312 + 55.6518i −0.121857 + 0.163682i
\(341\) 4.34514 + 0.766165i 0.0127423 + 0.00224682i
\(342\) −246.141 + 350.553i −0.719711 + 1.02501i
\(343\) −62.8199 356.269i −0.183148 1.03869i
\(344\) −81.7848 + 162.847i −0.237747 + 0.473392i
\(345\) 330.396 + 952.549i 0.957669 + 2.76101i
\(346\) −114.804 + 13.4187i −0.331804 + 0.0387823i
\(347\) −157.425 + 239.352i −0.453673 + 0.689777i −0.987818 0.155617i \(-0.950264\pi\)
0.534144 + 0.845393i \(0.320634\pi\)
\(348\) 19.1293 260.242i 0.0549691 0.747821i
\(349\) −76.1639 + 254.405i −0.218235 + 0.728954i 0.776829 + 0.629712i \(0.216827\pi\)
−0.995063 + 0.0992422i \(0.968358\pi\)
\(350\) −304.444 + 175.771i −0.869840 + 0.502202i
\(351\) −341.907 166.355i −0.974093 0.473947i
\(352\) −4.26593 + 7.38880i −0.0121191 + 0.0209909i
\(353\) 199.927 188.622i 0.566366 0.534339i −0.348915 0.937154i \(-0.613450\pi\)
0.915281 + 0.402816i \(0.131968\pi\)
\(354\) 223.869 161.436i 0.632399 0.456033i
\(355\) −14.2498 + 244.660i −0.0401404 + 0.689183i
\(356\) −106.393 45.8934i −0.298856 0.128914i
\(357\) −45.0886 + 36.6808i −0.126299 + 0.102747i
\(358\) 15.8443 + 272.036i 0.0442577 + 0.759876i
\(359\) −171.586 + 471.429i −0.477956 + 1.31317i 0.433269 + 0.901264i \(0.357360\pi\)
−0.911225 + 0.411908i \(0.864862\pi\)
\(360\) −210.801 + 69.5471i −0.585559 + 0.193186i
\(361\) −725.018 + 263.885i −2.00836 + 0.730983i
\(362\) 346.082 149.285i 0.956028 0.412390i
\(363\) 355.847 15.3043i 0.980294 0.0421605i
\(364\) −133.474 31.6339i −0.366686 0.0869062i
\(365\) −129.679 + 547.157i −0.355284 + 1.49906i
\(366\) −3.16792 73.6587i −0.00865551 0.201253i
\(367\) −96.4604 223.620i −0.262835 0.609320i 0.734783 0.678302i \(-0.237284\pi\)
−0.997618 + 0.0689826i \(0.978025\pi\)
\(368\) 52.7261 + 144.864i 0.143277 + 0.393652i
\(369\) 45.2320 + 137.101i 0.122580 + 0.371547i
\(370\) 159.146 + 57.9245i 0.430125 + 0.156553i
\(371\) 307.640 17.9180i 0.829218 0.0482964i
\(372\) 11.0768 + 13.6158i 0.0297764 + 0.0366015i
\(373\) 216.662 502.278i 0.580862 1.34659i −0.333905 0.942607i \(-0.608366\pi\)
0.914767 0.403983i \(-0.132374\pi\)
\(374\) −8.47101 0.493380i −0.0226498 0.00131920i
\(375\) −398.442 552.534i −1.06251 1.47343i
\(376\) −58.1545 61.6402i −0.154666 0.163937i
\(377\) 530.406 + 306.230i 1.40691 + 0.812281i
\(378\) −185.499 + 13.1492i −0.490738 + 0.0347862i
\(379\) 47.8190 + 82.8249i 0.126172 + 0.218535i 0.922190 0.386736i \(-0.126398\pi\)
−0.796019 + 0.605272i \(0.793064\pi\)
\(380\) −562.264 168.331i −1.47964 0.442976i
\(381\) 480.239 + 35.3003i 1.26047 + 0.0926517i
\(382\) −51.4439 33.8352i −0.134670 0.0885738i
\(383\) −7.69824 65.8627i −0.0200999 0.171965i 0.979460 0.201640i \(-0.0646270\pi\)
−0.999560 + 0.0296745i \(0.990553\pi\)
\(384\) −32.0669 + 11.1226i −0.0835077 + 0.0289650i
\(385\) −57.2400 28.7470i −0.148675 0.0746675i
\(386\) −106.612 + 18.7986i −0.276197 + 0.0487010i
\(387\) −474.554 333.209i −1.22624 0.861005i
\(388\) 4.02210 22.8105i 0.0103662 0.0587899i
\(389\) −72.0283 53.6231i −0.185163 0.137848i 0.500586 0.865687i \(-0.333118\pi\)
−0.685749 + 0.727838i \(0.740525\pi\)
\(390\) 68.3409 516.500i 0.175233 1.32436i
\(391\) −105.215 + 111.522i −0.269093 + 0.285221i
\(392\) 68.5006 20.5077i 0.174746 0.0523156i
\(393\) 21.4621 4.74336i 0.0546109 0.0120696i
\(394\) 412.404 + 48.2031i 1.04671 + 0.122343i
\(395\) −565.825 + 674.324i −1.43247 + 1.70715i
\(396\) −21.2735 16.8660i −0.0537209 0.0425909i
\(397\) 443.751 372.352i 1.11776 0.937914i 0.119273 0.992862i \(-0.461944\pi\)
0.998489 + 0.0549480i \(0.0174993\pi\)
\(398\) 48.6982 + 74.0420i 0.122357 + 0.186035i
\(399\) −422.040 252.293i −1.05775 0.632312i
\(400\) −121.916 163.761i −0.304789 0.409403i
\(401\) −166.697 331.921i −0.415703 0.827733i −0.999870 0.0161000i \(-0.994875\pi\)
0.584167 0.811633i \(-0.301421\pi\)
\(402\) 409.022 + 103.529i 1.01747 + 0.257534i
\(403\) −40.0865 + 9.50068i −0.0994703 + 0.0235749i
\(404\) 65.4856i 0.162093i
\(405\) −120.839 695.914i −0.298367 1.71831i
\(406\) 299.545 0.737796
\(407\) 4.77675 + 20.1547i 0.0117365 + 0.0495201i
\(408\) −24.1985 23.5353i −0.0593101 0.0576846i
\(409\) −674.069 + 338.530i −1.64809 + 0.827702i −0.650413 + 0.759580i \(0.725404\pi\)
−0.997677 + 0.0681218i \(0.978299\pi\)
\(410\) −158.675 + 118.129i −0.387013 + 0.288121i
\(411\) −85.8554 1.30477i −0.208894 0.00317462i
\(412\) −166.847 + 109.737i −0.404968 + 0.266351i
\(413\) 203.657 + 242.709i 0.493117 + 0.587674i
\(414\) −480.531 + 98.5689i −1.16070 + 0.238089i
\(415\) 504.125 + 423.011i 1.21476 + 1.01930i
\(416\) 9.24831 79.1243i 0.0222315 0.190203i
\(417\) −251.639 79.5218i −0.603451 0.190700i
\(418\) −20.5871 68.7658i −0.0492515 0.164511i
\(419\) −109.528 103.335i −0.261404 0.246622i 0.544370 0.838845i \(-0.316769\pi\)
−0.805774 + 0.592223i \(0.798250\pi\)
\(420\) −97.3597 235.481i −0.231809 0.560669i
\(421\) −43.1334 + 57.9383i −0.102455 + 0.137621i −0.850394 0.526147i \(-0.823636\pi\)
0.747939 + 0.663768i \(0.231044\pi\)
\(422\) 294.616 + 51.9488i 0.698143 + 0.123101i
\(423\) 221.088 154.378i 0.522666 0.364960i
\(424\) 31.0772 + 176.248i 0.0732953 + 0.415678i
\(425\) 91.1275 181.450i 0.214418 0.426941i
\(426\) −117.098 22.4874i −0.274878 0.0527873i
\(427\) 84.0609 9.82530i 0.196864 0.0230101i
\(428\) 113.581 172.692i 0.265377 0.403486i
\(429\) 57.3696 27.7286i 0.133729 0.0646355i
\(430\) 227.874 761.154i 0.529941 1.77013i
\(431\) 160.733 92.7990i 0.372929 0.215311i −0.301808 0.953369i \(-0.597590\pi\)
0.674737 + 0.738058i \(0.264257\pi\)
\(432\) −20.0915 106.115i −0.0465080 0.245636i
\(433\) 190.852 330.566i 0.440767 0.763431i −0.556979 0.830526i \(-0.688040\pi\)
0.997747 + 0.0670953i \(0.0213731\pi\)
\(434\) −14.6557 + 13.8270i −0.0337690 + 0.0318594i
\(435\) 114.895 + 1131.91i 0.264127 + 2.60209i
\(436\) −23.2266 + 398.786i −0.0532721 + 0.914646i
\(437\) −1190.93 513.718i −2.72525 1.17556i
\(438\) −255.636 97.4679i −0.583643 0.222529i
\(439\) −12.5377 215.264i −0.0285597 0.490350i −0.982013 0.188811i \(-0.939537\pi\)
0.953454 0.301539i \(-0.0975004\pi\)
\(440\) 12.7229 34.9559i 0.0289157 0.0794451i
\(441\) 32.6823 + 225.166i 0.0741096 + 0.510582i
\(442\) 74.4509 27.0979i 0.168441 0.0613075i
\(443\) −627.628 + 270.732i −1.41677 + 0.611134i −0.960392 0.278653i \(-0.910112\pi\)
−0.456376 + 0.889787i \(0.650853\pi\)
\(444\) −38.0956 + 73.0647i −0.0858009 + 0.164560i
\(445\) 491.577 + 116.506i 1.10467 + 0.261811i
\(446\) 51.7754 218.458i 0.116088 0.489815i
\(447\) −335.816 + 213.631i −0.751266 + 0.477921i
\(448\) −15.4321 35.7755i −0.0344466 0.0798561i
\(449\) −56.2690 154.598i −0.125321 0.344316i 0.861127 0.508389i \(-0.169759\pi\)
−0.986448 + 0.164073i \(0.947537\pi\)
\(450\) 572.209 307.570i 1.27158 0.683490i
\(451\) −22.7346 8.27471i −0.0504092 0.0183475i
\(452\) −316.458 + 18.4316i −0.700129 + 0.0407779i
\(453\) 76.9396 12.3641i 0.169845 0.0272939i
\(454\) −20.7187 + 48.0313i −0.0456358 + 0.105796i
\(455\) 597.061 + 34.7748i 1.31222 + 0.0764282i
\(456\) 117.075 260.455i 0.256744 0.571174i
\(457\) 388.002 + 411.258i 0.849019 + 0.899907i 0.996011 0.0892303i \(-0.0284407\pi\)
−0.146992 + 0.989138i \(0.546959\pi\)
\(458\) −177.805 102.656i −0.388220 0.224139i
\(459\) 85.3430 65.2213i 0.185932 0.142094i
\(460\) −336.074 582.097i −0.730596 1.26543i
\(461\) 404.786 + 121.185i 0.878060 + 0.262874i 0.693943 0.720030i \(-0.255872\pi\)
0.184118 + 0.982904i \(0.441057\pi\)
\(462\) 17.5187 25.7741i 0.0379192 0.0557880i
\(463\) −648.763 426.698i −1.40122 0.921594i −0.999984 0.00561695i \(-0.998212\pi\)
−0.401231 0.915977i \(-0.631418\pi\)
\(464\) 20.1958 + 172.786i 0.0435255 + 0.372384i
\(465\) −57.8704 50.0771i −0.124452 0.107693i
\(466\) 524.647 + 263.487i 1.12585 + 0.565424i
\(467\) −363.710 + 64.1318i −0.778821 + 0.137327i −0.548907 0.835884i \(-0.684956\pi\)
−0.229915 + 0.973211i \(0.573845\pi\)
\(468\) 244.763 + 65.9261i 0.522998 + 0.140868i
\(469\) −84.1039 + 476.977i −0.179326 + 1.01701i
\(470\) 296.373 + 220.641i 0.630581 + 0.469450i
\(471\) −202.757 155.791i −0.430481 0.330766i
\(472\) −126.271 + 133.839i −0.267523 + 0.283558i
\(473\) 93.0904 27.8694i 0.196808 0.0589206i
\(474\) −289.138 315.951i −0.609995 0.666564i
\(475\) 1706.05 + 199.409i 3.59169 + 0.419808i
\(476\) 24.9078 29.6840i 0.0523274 0.0623614i
\(477\) −569.248 + 15.8209i −1.19339 + 0.0331675i
\(478\) 140.849 118.187i 0.294664 0.247252i
\(479\) 63.8751 + 97.1174i 0.133351 + 0.202750i 0.895990 0.444074i \(-0.146467\pi\)
−0.762639 + 0.646824i \(0.776097\pi\)
\(480\) 129.268 72.0364i 0.269309 0.150076i
\(481\) −115.490 155.131i −0.240105 0.322517i
\(482\) −102.516 204.126i −0.212689 0.423498i
\(483\) −153.283 541.837i −0.317357 1.12182i
\(484\) −231.050 + 54.7598i −0.477376 + 0.113140i
\(485\) 100.989i 0.208225i
\(486\) 343.374 13.8712i 0.706531 0.0285415i
\(487\) −404.900 −0.831418 −0.415709 0.909498i \(-0.636466\pi\)
−0.415709 + 0.909498i \(0.636466\pi\)
\(488\) 11.3350 + 47.8263i 0.0232275 + 0.0980047i
\(489\) 12.6925 3.59067i 0.0259561 0.00734288i
\(490\) −278.601 + 139.919i −0.568574 + 0.285549i
\(491\) 149.605 111.377i 0.304694 0.226837i −0.433942 0.900941i \(-0.642878\pi\)
0.738636 + 0.674104i \(0.235470\pi\)
\(492\) −46.8510 84.0733i −0.0952256 0.170881i
\(493\) −144.552 + 95.0731i −0.293208 + 0.192846i
\(494\) 430.817 + 513.427i 0.872099 + 1.03933i
\(495\) 104.114 + 56.3129i 0.210331 + 0.113763i
\(496\) −8.96392 7.52162i −0.0180724 0.0151646i
\(497\) 15.8904 135.951i 0.0319726 0.273543i
\(498\) −236.205 + 216.159i −0.474307 + 0.434054i
\(499\) 232.805 + 777.624i 0.466544 + 1.55837i 0.790603 + 0.612329i \(0.209767\pi\)
−0.324059 + 0.946037i \(0.605048\pi\)
\(500\) 330.331 + 311.651i 0.660661 + 0.623302i
\(501\) −362.294 + 471.514i −0.723142 + 0.941146i
\(502\) −171.435 + 230.277i −0.341503 + 0.458719i
\(503\) 230.244 + 40.5983i 0.457742 + 0.0807123i 0.397765 0.917487i \(-0.369786\pi\)
0.0599773 + 0.998200i \(0.480897\pi\)
\(504\) 119.794 31.9313i 0.237686 0.0633558i
\(505\) −49.5801 281.183i −0.0981784 0.556797i
\(506\) 36.8935 73.4609i 0.0729120 0.145180i
\(507\) −57.5541 + 66.5110i −0.113519 + 0.131186i
\(508\) −318.852 + 37.2685i −0.627662 + 0.0733632i
\(509\) −160.073 + 243.379i −0.314485 + 0.478151i −0.957794 0.287455i \(-0.907191\pi\)
0.643309 + 0.765607i \(0.277561\pi\)
\(510\) 121.723 + 82.7351i 0.238672 + 0.162226i
\(511\) 90.0728 300.864i 0.176268 0.588775i
\(512\) 19.5959 11.3137i 0.0382733 0.0220971i
\(513\) 765.384 + 489.710i 1.49198 + 0.954599i
\(514\) −353.156 + 611.685i −0.687075 + 1.19005i
\(515\) 633.324 597.510i 1.22975 1.16021i
\(516\) 352.586 + 158.488i 0.683307 + 0.307148i
\(517\) −2.62749 + 45.1122i −0.00508218 + 0.0872577i
\(518\) −86.8532 37.4648i −0.167670 0.0723259i
\(519\) 38.9033 + 242.088i 0.0749583 + 0.466451i
\(520\) 20.1957 + 346.747i 0.0388379 + 0.666820i
\(521\) 251.728 691.616i 0.483163 1.32748i −0.423605 0.905847i \(-0.639235\pi\)
0.906767 0.421631i \(-0.138542\pi\)
\(522\) −553.290 16.8209i −1.05994 0.0322239i
\(523\) 537.096 195.487i 1.02695 0.373780i 0.227033 0.973887i \(-0.427098\pi\)
0.799920 + 0.600107i \(0.204875\pi\)
\(524\) −13.4549 + 5.80389i −0.0256773 + 0.0110761i
\(525\) 400.272 + 629.205i 0.762422 + 1.19849i
\(526\) −273.881 64.9110i −0.520687 0.123405i
\(527\) 2.68386 11.3241i 0.00509272 0.0214879i
\(528\) 16.0484 + 8.36755i 0.0303946 + 0.0158476i
\(529\) −378.790 878.134i −0.716049 1.65999i
\(530\) −266.879 733.244i −0.503545 1.38348i
\(531\) −362.546 459.745i −0.682761 0.865810i
\(532\) 308.032 + 112.114i 0.579007 + 0.210741i
\(533\) 225.517 13.1349i 0.423108 0.0246433i
\(534\) −87.5670 + 229.668i −0.163983 + 0.430090i
\(535\) −356.948 + 827.499i −0.667193 + 1.54673i
\(536\) −280.805 16.3550i −0.523889 0.0305131i
\(537\) 575.098 58.3757i 1.07095 0.108707i
\(538\) −397.574 421.404i −0.738986 0.783279i
\(539\) −33.0208 19.0646i −0.0612630 0.0353702i
\(540\) 166.610 + 440.424i 0.308537 + 0.815601i
\(541\) −12.9459 22.4230i −0.0239296 0.0414473i 0.853813 0.520580i \(-0.174284\pi\)
−0.877742 + 0.479133i \(0.840951\pi\)
\(542\) 311.297 + 93.1962i 0.574349 + 0.171949i
\(543\) −347.935 719.866i −0.640764 1.32572i
\(544\) 18.8019 + 12.3662i 0.0345624 + 0.0227320i
\(545\) −202.196 1729.89i −0.371001 3.17412i
\(546\) −54.8775 + 285.762i −0.100508 + 0.523374i
\(547\) −259.907 130.530i −0.475150 0.238629i 0.195074 0.980789i \(-0.437505\pi\)
−0.670223 + 0.742159i \(0.733802\pi\)
\(548\) 56.3739 9.94023i 0.102872 0.0181391i
\(549\) −155.821 + 13.4279i −0.283826 + 0.0244589i
\(550\) −18.9044 + 107.212i −0.0343717 + 0.194932i
\(551\) −1173.99 874.005i −2.13066 1.58622i
\(552\) 302.213 124.950i 0.547487 0.226359i
\(553\) 337.382 357.604i 0.610095 0.646663i
\(554\) 123.364 36.9328i 0.222679 0.0666657i
\(555\) 108.257 342.568i 0.195057 0.617240i
\(556\) 174.747 + 20.4250i 0.314293 + 0.0367356i
\(557\) −22.9511 + 27.3521i −0.0412049 + 0.0491061i −0.786253 0.617904i \(-0.787982\pi\)
0.745048 + 0.667010i \(0.232426\pi\)
\(558\) 27.8471 24.7168i 0.0499052 0.0442954i
\(559\) −695.043 + 583.210i −1.24337 + 1.04331i
\(560\) 93.3484 + 141.929i 0.166694 + 0.253445i
\(561\) −0.273522 + 17.9981i −0.000487561 + 0.0320822i
\(562\) 268.200 + 360.255i 0.477225 + 0.641024i
\(563\) 56.0423 + 111.589i 0.0995423 + 0.198205i 0.937892 0.346928i \(-0.112775\pi\)
−0.838349 + 0.545133i \(0.816479\pi\)
\(564\) −125.337 + 128.869i −0.222229 + 0.228491i
\(565\) 1344.86 318.737i 2.38027 0.564135i
\(566\) 201.472i 0.355957i
\(567\) 44.7760 + 391.941i 0.0789700 + 0.691254i
\(568\) 79.4919 0.139950
\(569\) 161.223 + 680.253i 0.283344 + 1.19552i 0.909459 + 0.415793i \(0.136496\pi\)
−0.626115 + 0.779731i \(0.715356\pi\)
\(570\) −305.503 + 1206.98i −0.535971 + 2.11751i
\(571\) −626.121 + 314.450i −1.09653 + 0.550700i −0.902672 0.430329i \(-0.858398\pi\)
−0.193862 + 0.981029i \(0.562101\pi\)
\(572\) −34.0738 + 25.3670i −0.0595696 + 0.0443480i
\(573\) −67.0199 + 112.112i −0.116963 + 0.195658i
\(574\) 92.3079 60.7119i 0.160815 0.105770i
\(575\) 1264.42 + 1506.88i 2.19899 + 2.62066i
\(576\) 26.4956 + 66.9476i 0.0459993 + 0.116228i
\(577\) 573.943 + 481.595i 0.994702 + 0.834654i 0.986242 0.165310i \(-0.0528625\pi\)
0.00846038 + 0.999964i \(0.497307\pi\)
\(578\) 44.8497 383.714i 0.0775947 0.663865i
\(579\) 49.5587 + 224.236i 0.0855935 + 0.387282i
\(580\) −217.536 726.620i −0.375062 1.25279i
\(581\) −267.345 252.227i −0.460146 0.434125i
\(582\) −48.7102 6.44512i −0.0836945 0.0110741i
\(583\) 56.9881 76.5484i 0.0977498 0.131301i
\(584\) 179.620 + 31.6719i 0.307569 + 0.0542327i
\(585\) −1100.88 97.7604i −1.88184 0.167112i
\(586\) 125.482 + 711.642i 0.214133 + 1.21441i
\(587\) −272.224 + 542.042i −0.463754 + 0.923411i 0.533242 + 0.845963i \(0.320974\pi\)
−0.996996 + 0.0774483i \(0.975323\pi\)
\(588\) −49.7071 143.308i −0.0845358 0.243721i
\(589\) 97.7836 11.4293i 0.166016 0.0194045i
\(590\) 440.851 670.281i 0.747205 1.13607i
\(591\) 64.5693 878.426i 0.109254 1.48634i
\(592\) 15.7550 52.6254i 0.0266132 0.0888943i
\(593\) 64.9242 37.4840i 0.109484 0.0632108i −0.444258 0.895899i \(-0.646533\pi\)
0.553742 + 0.832688i \(0.313199\pi\)
\(594\) −33.8061 + 46.6235i −0.0569126 + 0.0784908i
\(595\) −84.4752 + 146.315i −0.141975 + 0.245908i
\(596\) 193.000 182.086i 0.323826 0.305514i
\(597\) 152.483 109.958i 0.255415 0.184184i
\(598\) −44.6295 + 766.259i −0.0746312 + 1.28137i
\(599\) 723.035 + 311.887i 1.20707 + 0.520679i 0.902035 0.431662i \(-0.142073\pi\)
0.305035 + 0.952341i \(0.401332\pi\)
\(600\) −335.957 + 273.310i −0.559928 + 0.455517i
\(601\) 49.6490 + 852.441i 0.0826107 + 1.41837i 0.743926 + 0.668262i \(0.232962\pi\)
−0.661315 + 0.750108i \(0.730001\pi\)
\(602\) −151.773 + 416.992i −0.252114 + 0.692678i
\(603\) 182.133 876.301i 0.302045 1.45324i
\(604\) −48.8181 + 17.7683i −0.0808246 + 0.0294178i
\(605\) 950.624 410.059i 1.57128 0.677784i
\(606\) 138.788 5.96899i 0.229023 0.00984981i
\(607\) 215.728 + 51.1285i 0.355401 + 0.0842315i 0.404438 0.914565i \(-0.367467\pi\)
−0.0490372 + 0.998797i \(0.515615\pi\)
\(608\) −43.9028 + 185.241i −0.0722086 + 0.304672i
\(609\) −27.3034 634.844i −0.0448332 1.04244i
\(610\) −84.8804 196.775i −0.139148 0.322582i
\(611\) −144.309 396.487i −0.236186 0.648915i
\(612\) −47.6742 + 53.4307i −0.0778990 + 0.0873050i
\(613\) 736.794 + 268.171i 1.20195 + 0.437473i 0.863904 0.503657i \(-0.168012\pi\)
0.338044 + 0.941130i \(0.390235\pi\)
\(614\) 539.670 31.4322i 0.878941 0.0511925i
\(615\) 264.822 + 325.523i 0.430605 + 0.529306i
\(616\) −8.22900 + 19.0770i −0.0133588 + 0.0309691i
\(617\) −965.349 56.2252i −1.56459 0.0911267i −0.746171 0.665755i \(-0.768110\pi\)
−0.818415 + 0.574628i \(0.805147\pi\)
\(618\) 247.780 + 343.606i 0.400938 + 0.555996i
\(619\) 158.613 + 168.120i 0.256240 + 0.271599i 0.842705 0.538376i \(-0.180962\pi\)
−0.586464 + 0.809975i \(0.699481\pi\)
\(620\) 44.1841 + 25.5097i 0.0712646 + 0.0411446i
\(621\) 252.703 + 1009.44i 0.406930 + 1.62550i
\(622\) −412.039 713.673i −0.662443 1.14738i
\(623\) −270.302 80.9231i −0.433872 0.129893i
\(624\) −168.536 12.3884i −0.270090 0.0198531i
\(625\) −588.249 386.897i −0.941198 0.619036i
\(626\) 41.6222 + 356.101i 0.0664891 + 0.568851i
\(627\) −143.863 + 49.8995i −0.229447 + 0.0795846i
\(628\) 152.333 + 76.5044i 0.242568 + 0.121822i
\(629\) 53.8039 9.48708i 0.0855388 0.0150828i
\(630\) −490.195 + 227.804i −0.778087 + 0.361594i
\(631\) 99.0227 561.586i 0.156930 0.889993i −0.800070 0.599906i \(-0.795205\pi\)
0.957000 0.290087i \(-0.0936843\pi\)
\(632\) 229.024 + 170.502i 0.362379 + 0.269781i
\(633\) 83.2441 629.133i 0.131507 0.993892i
\(634\) 342.975 363.532i 0.540969 0.573394i
\(635\) 1340.87 401.431i 2.11161 0.632175i
\(636\) 370.700 81.9287i 0.582861 0.128819i
\(637\) 353.609 + 41.3310i 0.555117 + 0.0648838i
\(638\) 59.6275 71.0613i 0.0934600 0.111381i
\(639\) −36.9855 + 250.223i −0.0578802 + 0.391585i
\(640\) −75.5753 + 63.4152i −0.118086 + 0.0990863i
\(641\) 457.603 + 695.751i 0.713889 + 1.08542i 0.992167 + 0.124915i \(0.0398659\pi\)
−0.278278 + 0.960500i \(0.589764\pi\)
\(642\) −376.349 224.979i −0.586214 0.350434i
\(643\) 405.251 + 544.346i 0.630250 + 0.846573i 0.996469 0.0839559i \(-0.0267555\pi\)
−0.366220 + 0.930528i \(0.619348\pi\)
\(644\) 168.480 + 335.470i 0.261614 + 0.520917i
\(645\) −1633.93 413.570i −2.53323 0.641193i
\(646\) −184.231 + 43.6636i −0.285188 + 0.0675908i
\(647\) 1173.56i 1.81385i −0.421293 0.906925i \(-0.638424\pi\)
0.421293 0.906925i \(-0.361576\pi\)
\(648\) −223.064 + 52.2534i −0.344235 + 0.0806380i
\(649\) 98.1182 0.151184
\(650\) −234.421 989.099i −0.360647 1.52169i
\(651\) 30.6402 + 29.8005i 0.0470664 + 0.0457765i
\(652\) −7.85840 + 3.94664i −0.0120528 + 0.00605312i
\(653\) −122.811 + 91.4292i −0.188072 + 0.140014i −0.687077 0.726585i \(-0.741106\pi\)
0.499005 + 0.866599i \(0.333699\pi\)
\(654\) 847.288 + 12.8765i 1.29555 + 0.0196888i
\(655\) 53.3786 35.1077i 0.0814941 0.0535995i
\(656\) 41.2439 + 49.1526i 0.0628719 + 0.0749278i
\(657\) −183.269 + 550.669i −0.278948 + 0.838156i
\(658\) −158.082 132.646i −0.240246 0.201590i
\(659\) 12.9544 110.832i 0.0196576 0.168182i −0.979843 0.199767i \(-0.935982\pi\)
0.999501 + 0.0315853i \(0.0100556\pi\)
\(660\) −75.2438 23.7782i −0.114006 0.0360276i
\(661\) −133.959 447.456i −0.202662 0.676938i −0.997536 0.0701628i \(-0.977648\pi\)
0.794874 0.606775i \(-0.207537\pi\)
\(662\) −431.171 406.789i −0.651315 0.614484i
\(663\) −64.2164 155.318i −0.0968573 0.234266i
\(664\) 127.467 171.218i 0.191968 0.257858i
\(665\) −1407.51 248.182i −2.11656 0.373206i
\(666\) 158.323 + 74.0786i 0.237722 + 0.111229i
\(667\) −291.058 1650.67i −0.436369 2.47477i
\(668\) 177.912 354.253i 0.266336 0.530319i
\(669\) −467.710 89.8185i −0.699118 0.134258i
\(670\) 1218.10 142.376i 1.81806 0.212501i
\(671\) 14.4023 21.8976i 0.0214639 0.0326343i
\(672\) −74.4147 + 35.9670i −0.110736 + 0.0535224i
\(673\) −211.589 + 706.757i −0.314397 + 1.05016i 0.644072 + 0.764965i \(0.277244\pi\)
−0.958470 + 0.285195i \(0.907942\pi\)
\(674\) −257.526 + 148.683i −0.382086 + 0.220597i
\(675\) −704.009 1184.68i −1.04298 1.75508i
\(676\) 29.3185 50.7812i 0.0433706 0.0751201i
\(677\) −492.151 + 464.321i −0.726959 + 0.685850i −0.957895 0.287119i \(-0.907303\pi\)
0.230936 + 0.972969i \(0.425821\pi\)
\(678\) 67.9082 + 669.009i 0.100160 + 0.986739i
\(679\) 3.27956 56.3078i 0.00482998 0.0829275i
\(680\) −90.0945 38.8630i −0.132492 0.0571514i
\(681\) 103.684 + 39.5323i 0.152253 + 0.0580504i
\(682\) 0.362809 + 6.22919i 0.000531978 + 0.00913372i
\(683\) −273.047 + 750.189i −0.399775 + 1.09837i 0.562619 + 0.826717i \(0.309794\pi\)
−0.962394 + 0.271657i \(0.912428\pi\)
\(684\) −562.670 224.384i −0.822617 0.328047i
\(685\) −234.533 + 85.3629i −0.342383 + 0.124617i
\(686\) 469.772 202.640i 0.684799 0.295393i
\(687\) −201.358 + 386.190i −0.293097 + 0.562139i
\(688\) −250.766 59.4326i −0.364485 0.0863846i
\(689\) −205.493 + 867.044i −0.298248 + 1.25841i
\(690\) −1203.04 + 765.320i −1.74354 + 1.10916i
\(691\) −304.029 704.820i −0.439985 1.02000i −0.983551 0.180633i \(-0.942185\pi\)
0.543566 0.839367i \(-0.317074\pi\)
\(692\) −55.9075 153.605i −0.0807912 0.221972i
\(693\) −56.2214 34.7791i −0.0811275 0.0501863i
\(694\) −380.714 138.568i −0.548579 0.199666i
\(695\) −765.794 + 44.6024i −1.10186 + 0.0641762i
\(696\) 364.356 58.5516i 0.523500 0.0841259i
\(697\) −25.2757 + 58.5956i −0.0362635 + 0.0840683i
\(698\) −374.925 21.8369i −0.537142 0.0312850i
\(699\) 510.604 1135.93i 0.730477 1.62508i
\(700\) −341.168 361.617i −0.487383 0.516596i
\(701\) 38.2633 + 22.0913i 0.0545839 + 0.0315140i 0.527044 0.849838i \(-0.323300\pi\)
−0.472460 + 0.881352i \(0.656634\pi\)
\(702\) 117.411 524.750i 0.167252 0.747508i
\(703\) 231.086 + 400.252i 0.328714 + 0.569349i
\(704\) −11.5590 3.46053i −0.0164190 0.00491552i
\(705\) 440.605 648.232i 0.624971 0.919479i
\(706\) 324.765 + 213.601i 0.460007 + 0.302552i
\(707\) 18.5128 + 158.387i 0.0261851 + 0.224028i
\(708\) 295.163 + 255.414i 0.416897 + 0.360755i
\(709\) −610.631 306.670i −0.861256 0.432539i −0.0373747 0.999301i \(-0.511900\pi\)
−0.823881 + 0.566762i \(0.808196\pi\)
\(710\) −341.323 + 60.1844i −0.480736 + 0.0847667i
\(711\) −643.260 + 641.586i −0.904726 + 0.902371i
\(712\) 28.4546 161.374i 0.0399643 0.226649i
\(713\) 90.4355 + 67.3268i 0.126838 + 0.0944274i
\(714\) −65.1815 50.0830i −0.0912906 0.0701443i
\(715\) 127.101 134.719i 0.177763 0.188418i
\(716\) −369.179 + 110.525i −0.515613 + 0.154364i
\(717\) −263.319 287.738i −0.367250 0.401308i
\(718\) −704.691 82.3666i −0.981464 0.114717i
\(719\) 273.130 325.504i 0.379875 0.452718i −0.541900 0.840443i \(-0.682295\pi\)
0.921775 + 0.387726i \(0.126739\pi\)
\(720\) −164.454 267.400i −0.228408 0.371389i
\(721\) −372.523 + 312.584i −0.516675 + 0.433542i
\(722\) −599.588 911.629i −0.830454 1.26264i
\(723\) −423.273 + 235.874i −0.585439 + 0.326244i
\(724\) 318.302 + 427.553i 0.439643 + 0.590543i
\(725\) 996.227 + 1983.65i 1.37411 + 2.73607i
\(726\) 137.116 + 484.687i 0.188865 + 0.667613i
\(727\) 76.8988 18.2253i 0.105775 0.0250692i −0.177387 0.984141i \(-0.556765\pi\)
0.283163 + 0.959072i \(0.408616\pi\)
\(728\) 193.989i 0.266469i
\(729\) −60.6964 726.469i −0.0832598 0.996528i
\(730\) −795.233 −1.08936
\(731\) −59.1088 249.400i −0.0808602 0.341176i
\(732\) 100.328 28.3824i 0.137060 0.0387738i
\(733\) −403.088 + 202.438i −0.549915 + 0.276178i −0.701985 0.712192i \(-0.747703\pi\)
0.152069 + 0.988370i \(0.451406\pi\)
\(734\) 276.263 205.670i 0.376380 0.280204i
\(735\) 321.933 + 577.704i 0.438004 + 0.785991i
\(736\) −182.150 + 119.802i −0.247486 + 0.162774i
\(737\) 96.4118 + 114.899i 0.130817 + 0.155901i
\(738\) −173.911 + 106.957i −0.235652 + 0.144929i
\(739\) −277.455 232.812i −0.375447 0.315037i 0.435465 0.900206i \(-0.356584\pi\)
−0.810912 + 0.585168i \(0.801028\pi\)
\(740\) −27.8056 + 237.892i −0.0375751 + 0.321475i
\(741\) 1048.87 959.855i 1.41548 1.29535i
\(742\) 124.990 + 417.497i 0.168451 + 0.562665i
\(743\) 25.2939 + 23.8635i 0.0340429 + 0.0321178i 0.703075 0.711116i \(-0.251810\pi\)
−0.669032 + 0.743233i \(0.733291\pi\)
\(744\) −15.1240 + 19.6834i −0.0203279 + 0.0264562i
\(745\) −690.846 + 927.967i −0.927310 + 1.24559i
\(746\) 761.843 + 134.334i 1.02124 + 0.180072i
\(747\) 479.649 + 480.901i 0.642101 + 0.643777i
\(748\) −2.08380 11.8178i −0.00278583 0.0157992i
\(749\) 225.894 449.792i 0.301594 0.600524i
\(750\) 630.391 728.497i 0.840521 0.971329i
\(751\) 941.227 110.014i 1.25330 0.146490i 0.536578 0.843850i \(-0.319717\pi\)
0.716720 + 0.697361i \(0.245642\pi\)
\(752\) 65.8561 100.129i 0.0875746 0.133151i
\(753\) 503.666 + 342.342i 0.668879 + 0.454638i
\(754\) −248.414 + 829.761i −0.329462 + 1.10048i
\(755\) 196.163 113.255i 0.259818 0.150006i
\(756\) −78.5932 250.976i −0.103959 0.331978i
\(757\) −118.744 + 205.670i −0.156861 + 0.271691i −0.933735 0.357965i \(-0.883471\pi\)
0.776874 + 0.629656i \(0.216804\pi\)
\(758\) −98.3791 + 92.8159i −0.129788 + 0.122448i
\(759\) −159.053 71.4946i −0.209556 0.0941958i
\(760\) 48.2620 828.627i 0.0635026 1.09030i
\(761\) −781.610 337.154i −1.02708 0.443040i −0.185200 0.982701i \(-0.559293\pi\)
−0.841883 + 0.539661i \(0.818553\pi\)
\(762\) 108.049 + 672.366i 0.141796 + 0.882371i
\(763\) 56.5598 + 971.093i 0.0741281 + 1.27273i
\(764\) 29.7824 81.8266i 0.0389823 0.107103i
\(765\) 164.251 265.516i 0.214707 0.347079i
\(766\) 88.1225 32.0740i 0.115042 0.0418720i
\(767\) −841.216 + 362.865i −1.09676 + 0.473097i
\(768\) −25.7640 40.4996i −0.0335469 0.0527338i
\(769\) 512.068 + 121.362i 0.665888 + 0.157818i 0.549640 0.835402i \(-0.314765\pi\)
0.116248 + 0.993220i \(0.462913\pi\)
\(770\) 20.8903 88.1431i 0.0271303 0.114472i
\(771\) 1328.57 + 692.711i 1.72318 + 0.898458i