Properties

Label 108.3.j.a.7.20
Level 108
Weight 3
Character 108.7
Analytic conductor 2.943
Analytic rank 0
Dimension 204
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 108 = 2^{2} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 108.j (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.94278685509\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(34\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 7.20
Character \(\chi\) \(=\) 108.7
Dual form 108.3.j.a.31.20

$q$-expansion

\(f(q)\) \(=\) \(q+(0.343802 + 1.97023i) q^{2} +(2.96394 - 0.463733i) q^{3} +(-3.76360 + 1.35474i) q^{4} +(0.608002 + 3.44815i) q^{5} +(1.93267 + 5.68021i) q^{6} +(-5.71739 + 6.81372i) q^{7} +(-3.96308 - 6.94939i) q^{8} +(8.56990 - 2.74895i) q^{9} +O(q^{10})\) \(q+(0.343802 + 1.97023i) q^{2} +(2.96394 - 0.463733i) q^{3} +(-3.76360 + 1.35474i) q^{4} +(0.608002 + 3.44815i) q^{5} +(1.93267 + 5.68021i) q^{6} +(-5.71739 + 6.81372i) q^{7} +(-3.96308 - 6.94939i) q^{8} +(8.56990 - 2.74895i) q^{9} +(-6.58462 + 2.38339i) q^{10} +(5.38256 + 0.949091i) q^{11} +(-10.5269 + 5.76067i) q^{12} +(21.3373 + 7.76615i) q^{13} +(-15.3902 - 8.92199i) q^{14} +(3.40111 + 9.93818i) q^{15} +(12.3294 - 10.1974i) q^{16} +(-8.12631 - 14.0752i) q^{17} +(8.36242 + 15.9396i) q^{18} +(-19.5372 - 11.2798i) q^{19} +(-6.95962 - 12.1538i) q^{20} +(-13.7863 + 22.8468i) q^{21} +(-0.0193895 + 10.9312i) q^{22} +(-22.1707 - 26.4221i) q^{23} +(-14.9690 - 18.7598i) q^{24} +(11.9722 - 4.35753i) q^{25} +(-7.96527 + 44.7094i) q^{26} +(24.1259 - 12.1219i) q^{27} +(12.2872 - 33.3897i) q^{28} +(24.1480 - 8.78914i) q^{29} +(-18.4112 + 10.1177i) q^{30} +(14.3967 + 17.1573i) q^{31} +(24.3300 + 20.7858i) q^{32} +(16.3937 + 0.316980i) q^{33} +(24.9375 - 20.8498i) q^{34} +(-26.9709 - 15.5717i) q^{35} +(-28.5296 + 21.9559i) q^{36} +(7.88574 + 13.6585i) q^{37} +(15.5069 - 42.3708i) q^{38} +(66.8440 + 13.1236i) q^{39} +(21.5530 - 17.8905i) q^{40} +(-49.6190 - 18.0598i) q^{41} +(-49.7532 - 19.3073i) q^{42} +(9.61800 + 1.69591i) q^{43} +(-21.5436 + 3.71996i) q^{44} +(14.6893 + 27.8790i) q^{45} +(44.4351 - 52.7654i) q^{46} +(14.9904 - 17.8648i) q^{47} +(31.8147 - 35.9420i) q^{48} +(-5.22945 - 29.6577i) q^{49} +(12.7014 + 22.0899i) q^{50} +(-30.6130 - 37.9496i) q^{51} +(-90.8262 - 0.322212i) q^{52} +4.09859 q^{53} +(32.1774 + 43.3660i) q^{54} +19.1370i q^{55} +(70.0096 + 12.7291i) q^{56} +(-63.1380 - 24.3727i) q^{57} +(25.6187 + 44.5553i) q^{58} +(28.0094 - 4.93882i) q^{59} +(-26.2640 - 32.7957i) q^{60} +(-31.1357 - 26.1260i) q^{61} +(-28.8541 + 34.2634i) q^{62} +(-30.2669 + 74.1097i) q^{63} +(-32.5881 + 55.0819i) q^{64} +(-13.8057 + 78.2962i) q^{65} +(5.01168 + 32.4084i) q^{66} +(-30.9299 + 84.9793i) q^{67} +(49.6523 + 41.9643i) q^{68} +(-77.9656 - 68.0321i) q^{69} +(21.4071 - 58.4924i) q^{70} +(-87.8991 + 50.7486i) q^{71} +(-53.0667 - 48.6613i) q^{72} +(-16.0025 + 27.7171i) q^{73} +(-24.1992 + 20.2325i) q^{74} +(33.4642 - 18.4674i) q^{75} +(88.8115 + 15.9849i) q^{76} +(-37.2410 + 31.2489i) q^{77} +(-2.87538 + 136.210i) q^{78} +(-8.65102 - 23.7685i) q^{79} +(42.6584 + 36.3135i) q^{80} +(65.8865 - 47.1165i) q^{81} +(18.5229 - 103.970i) q^{82} +(-16.3859 - 45.0198i) q^{83} +(20.9345 - 104.663i) q^{84} +(43.5925 - 36.5785i) q^{85} +(-0.0346467 + 19.5327i) q^{86} +(67.4973 - 37.2487i) q^{87} +(-14.7359 - 41.1668i) q^{88} +(45.0663 - 78.0571i) q^{89} +(-49.8777 + 38.5262i) q^{90} +(-174.910 + 100.984i) q^{91} +(119.237 + 69.4065i) q^{92} +(50.6272 + 44.1769i) q^{93} +(40.3515 + 23.3925i) q^{94} +(27.0159 - 74.2255i) q^{95} +(81.7519 + 50.3253i) q^{96} +(-25.7741 + 146.172i) q^{97} +(56.6346 - 20.4996i) q^{98} +(48.7371 - 6.66280i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} + O(q^{10}) \) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} - 3q^{10} + 39q^{12} - 12q^{13} + 39q^{14} - 6q^{16} - 6q^{17} - 27q^{18} - 69q^{20} - 12q^{21} - 6q^{22} - 138q^{24} - 12q^{25} - 174q^{26} - 12q^{28} + 60q^{29} - 153q^{30} - 96q^{32} + 48q^{33} + 6q^{34} + 24q^{36} - 6q^{37} + 72q^{38} + 69q^{40} - 192q^{41} - 126q^{42} - 219q^{44} - 132q^{45} - 3q^{46} - 219q^{48} - 12q^{49} - 165q^{50} + 21q^{52} - 24q^{53} + 78q^{54} + 99q^{56} - 150q^{57} - 141q^{58} + 210q^{60} - 12q^{61} + 294q^{62} - 3q^{64} - 156q^{65} + 393q^{66} + 375q^{68} - 60q^{69} - 165q^{70} + 228q^{72} - 6q^{73} + 447q^{74} - 54q^{76} + 132q^{77} + 750q^{78} + 798q^{80} + 228q^{81} - 12q^{82} + 762q^{84} + 138q^{85} + 606q^{86} - 198q^{88} - 114q^{89} + 894q^{90} + 723q^{92} - 1020q^{93} - 357q^{94} + 474q^{96} + 168q^{97} + 510q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.343802 + 1.97023i 0.171901 + 0.985114i
\(3\) 2.96394 0.463733i 0.987981 0.154578i
\(4\) −3.76360 + 1.35474i −0.940900 + 0.338684i
\(5\) 0.608002 + 3.44815i 0.121600 + 0.689631i 0.983269 + 0.182159i \(0.0583086\pi\)
−0.861669 + 0.507471i \(0.830580\pi\)
\(6\) 1.93267 + 5.68021i 0.322112 + 0.946702i
\(7\) −5.71739 + 6.81372i −0.816769 + 0.973388i −0.999953 0.00969079i \(-0.996915\pi\)
0.183184 + 0.983079i \(0.441360\pi\)
\(8\) −3.96308 6.94939i −0.495385 0.868674i
\(9\) 8.56990 2.74895i 0.952212 0.305439i
\(10\) −6.58462 + 2.38339i −0.658462 + 0.238339i
\(11\) 5.38256 + 0.949091i 0.489324 + 0.0862810i 0.412866 0.910792i \(-0.364528\pi\)
0.0764579 + 0.997073i \(0.475639\pi\)
\(12\) −10.5269 + 5.76067i −0.877238 + 0.480056i
\(13\) 21.3373 + 7.76615i 1.64133 + 0.597396i 0.987271 0.159046i \(-0.0508418\pi\)
0.654061 + 0.756442i \(0.273064\pi\)
\(14\) −15.3902 8.92199i −1.09930 0.637285i
\(15\) 3.40111 + 9.93818i 0.226740 + 0.662545i
\(16\) 12.3294 10.1974i 0.770586 0.637336i
\(17\) −8.12631 14.0752i −0.478018 0.827951i 0.521664 0.853151i \(-0.325311\pi\)
−0.999682 + 0.0251993i \(0.991978\pi\)
\(18\) 8.36242 + 15.9396i 0.464579 + 0.885532i
\(19\) −19.5372 11.2798i −1.02828 0.593675i −0.111785 0.993732i \(-0.535657\pi\)
−0.916490 + 0.400057i \(0.868990\pi\)
\(20\) −6.95962 12.1538i −0.347981 0.607689i
\(21\) −13.7863 + 22.8468i −0.656488 + 1.08794i
\(22\) −0.0193895 + 10.9312i −0.000881340 + 0.496872i
\(23\) −22.1707 26.4221i −0.963945 1.14879i −0.988823 0.149095i \(-0.952364\pi\)
0.0248778 0.999690i \(1.50792\pi\)
\(24\) −14.9690 18.7598i −0.623708 0.781658i
\(25\) 11.9722 4.35753i 0.478889 0.174301i
\(26\) −7.96527 + 44.7094i −0.306357 + 1.71959i
\(27\) 24.1259 12.1219i 0.893553 0.448959i
\(28\) 12.2872 33.3897i 0.438827 1.19249i
\(29\) 24.1480 8.78914i 0.832688 0.303074i 0.109727 0.993962i \(-0.465002\pi\)
0.722962 + 0.690888i \(0.242780\pi\)
\(30\) −18.4112 + 10.1177i −0.613706 + 0.337257i
\(31\) 14.3967 + 17.1573i 0.464408 + 0.553460i 0.946518 0.322651i \(-0.104574\pi\)
−0.482110 + 0.876111i \(0.660129\pi\)
\(32\) 24.3300 + 20.7858i 0.760314 + 0.649556i
\(33\) 16.3937 + 0.316980i 0.496780 + 0.00960546i
\(34\) 24.9375 20.8498i 0.733455 0.613228i
\(35\) −26.9709 15.5717i −0.770598 0.444905i
\(36\) −28.5296 + 21.9559i −0.792488 + 0.609887i
\(37\) 7.88574 + 13.6585i 0.213128 + 0.369149i 0.952692 0.303938i \(-0.0983015\pi\)
−0.739564 + 0.673086i \(0.764968\pi\)
\(38\) 15.5069 42.3708i 0.408076 1.11502i
\(39\) 66.8440 + 13.1236i 1.71395 + 0.336503i
\(40\) 21.5530 17.8905i 0.538825 0.447264i
\(41\) −49.6190 18.0598i −1.21022 0.440484i −0.343439 0.939175i \(-0.611592\pi\)
−0.866780 + 0.498691i \(0.833814\pi\)
\(42\) −49.7532 19.3073i −1.18460 0.459698i
\(43\) 9.61800 + 1.69591i 0.223674 + 0.0394398i 0.284362 0.958717i \(-0.408218\pi\)
−0.0606877 + 0.998157i \(0.519329\pi\)
\(44\) −21.5436 + 3.71996i −0.489627 + 0.0845446i
\(45\) 14.6893 + 27.8790i 0.326430 + 0.619533i
\(46\) 44.4351 52.7654i 0.965981 1.14707i
\(47\) 14.9904 17.8648i 0.318944 0.380103i −0.582623 0.812743i \(-0.697973\pi\)
0.901567 + 0.432640i \(0.142418\pi\)
\(48\) 31.8147 35.9420i 0.662806 0.748791i
\(49\) −5.22945 29.6577i −0.106724 0.605259i
\(50\) 12.7014 + 22.0899i 0.254028 + 0.441798i
\(51\) −30.6130 37.9496i −0.600255 0.744109i
\(52\) −90.8262 0.322212i −1.74666 0.00619638i
\(53\) 4.09859 0.0773318 0.0386659 0.999252i \(-0.487689\pi\)
0.0386659 + 0.999252i \(0.487689\pi\)
\(54\) 32.1774 + 43.3660i 0.595878 + 0.803075i
\(55\) 19.1370i 0.347945i
\(56\) 70.0096 + 12.7291i 1.25017 + 0.227305i
\(57\) −63.1380 24.3727i −1.10769 0.427591i
\(58\) 25.6187 + 44.5553i 0.441702 + 0.768194i
\(59\) 28.0094 4.93882i 0.474736 0.0837088i 0.0688395 0.997628i \(-0.478070\pi\)
0.405897 + 0.913919i \(0.366959\pi\)
\(60\) −26.2640 32.7957i −0.437734 0.546595i
\(61\) −31.1357 26.1260i −0.510422 0.428295i 0.350856 0.936430i \(-0.385891\pi\)
−0.861278 + 0.508135i \(0.830335\pi\)
\(62\) −28.8541 + 34.2634i −0.465389 + 0.552635i
\(63\) −30.2669 + 74.1097i −0.480426 + 1.17634i
\(64\) −32.5881 + 55.0819i −0.509188 + 0.860655i
\(65\) −13.8057 + 78.2962i −0.212396 + 1.20456i
\(66\) 5.01168 + 32.4084i 0.0759345 + 0.491036i
\(67\) −30.9299 + 84.9793i −0.461641 + 1.26835i 0.462610 + 0.886562i \(0.346913\pi\)
−0.924251 + 0.381785i \(0.875309\pi\)
\(68\) 49.6523 + 41.9643i 0.730181 + 0.617122i
\(69\) −77.9656 68.0321i −1.12994 0.985973i
\(70\) 21.4071 58.4924i 0.305815 0.835606i
\(71\) −87.8991 + 50.7486i −1.23802 + 0.714769i −0.968688 0.248280i \(-0.920135\pi\)
−0.269328 + 0.963049i \(0.586801\pi\)
\(72\) −53.0667 48.6613i −0.737038 0.675851i
\(73\) −16.0025 + 27.7171i −0.219212 + 0.379687i −0.954567 0.297995i \(-0.903682\pi\)
0.735355 + 0.677682i \(0.237015\pi\)
\(74\) −24.1992 + 20.2325i −0.327017 + 0.273412i
\(75\) 33.4642 18.4674i 0.446190 0.246232i
\(76\) 88.8115 + 15.9849i 1.16857 + 0.210328i
\(77\) −37.2410 + 31.2489i −0.483650 + 0.405830i
\(78\) −2.87538 + 136.210i −0.0368639 + 1.74628i
\(79\) −8.65102 23.7685i −0.109507 0.300867i 0.872820 0.488042i \(-0.162289\pi\)
−0.982326 + 0.187176i \(0.940067\pi\)
\(80\) 42.6584 + 36.3135i 0.533230 + 0.453919i
\(81\) 65.8865 47.1165i 0.813414 0.581686i
\(82\) 18.5229 103.970i 0.225889 1.26792i
\(83\) −16.3859 45.0198i −0.197420 0.542408i 0.800996 0.598670i \(-0.204304\pi\)
−0.998416 + 0.0562623i \(0.982082\pi\)
\(84\) 20.9345 104.663i 0.249221 1.24599i
\(85\) 43.5925 36.5785i 0.512853 0.430335i
\(86\) −0.0346467 + 19.5327i −0.000402868 + 0.227125i
\(87\) 67.4973 37.2487i 0.775832 0.428146i
\(88\) −14.7359 41.1668i −0.167453 0.467805i
\(89\) 45.0663 78.0571i 0.506363 0.877047i −0.493610 0.869683i \(-0.664323\pi\)
0.999973 0.00736306i \(-0.00234375\pi\)
\(90\) −49.8777 + 38.5262i −0.554197 + 0.428069i
\(91\) −174.910 + 100.984i −1.92209 + 1.10972i
\(92\) 119.237 + 69.4065i 1.29605 + 0.754419i
\(93\) 50.6272 + 44.1769i 0.544379 + 0.475021i
\(94\) 40.3515 + 23.3925i 0.429271 + 0.248856i
\(95\) 27.0159 74.2255i 0.284378 0.781321i
\(96\) 81.7519 + 50.3253i 0.851582 + 0.524222i
\(97\) −25.7741 + 146.172i −0.265713 + 1.50693i 0.501285 + 0.865282i \(0.332861\pi\)
−0.766998 + 0.641650i \(0.778250\pi\)
\(98\) 56.6346 20.4996i 0.577904 0.209180i
\(99\) 48.7371 6.66280i 0.492293 0.0673010i
\(100\) −39.1553 + 32.6192i −0.391553 + 0.326192i
\(101\) 7.81270 + 6.55563i 0.0773534 + 0.0649072i 0.680645 0.732614i \(-0.261700\pi\)
−0.603291 + 0.797521i \(0.706144\pi\)
\(102\) 64.2445 73.3618i 0.629848 0.719233i
\(103\) 14.2078 2.50522i 0.137940 0.0243226i −0.104252 0.994551i \(-0.533245\pi\)
0.242192 + 0.970228i \(0.422134\pi\)
\(104\) −30.5914 179.059i −0.294148 1.72172i
\(105\) −87.1613 33.6462i −0.830108 0.320440i
\(106\) 1.40910 + 8.07515i 0.0132934 + 0.0761807i
\(107\) 81.7160i 0.763701i −0.924224 0.381851i \(-0.875287\pi\)
0.924224 0.381851i \(-0.124713\pi\)
\(108\) −74.3783 + 78.3062i −0.688688 + 0.725058i
\(109\) −193.369 −1.77402 −0.887012 0.461747i \(-0.847223\pi\)
−0.887012 + 0.461747i \(0.847223\pi\)
\(110\) −37.7042 + 6.57932i −0.342765 + 0.0598120i
\(111\) 29.7068 + 36.8261i 0.267628 + 0.331767i
\(112\) −1.00973 + 142.311i −0.00901544 + 1.27064i
\(113\) 0.255201 + 1.44731i 0.00225841 + 0.0128081i 0.985916 0.167240i \(-0.0534856\pi\)
−0.983658 + 0.180049i \(0.942375\pi\)
\(114\) 26.3128 132.776i 0.230814 1.16470i
\(115\) 77.6274 92.5128i 0.675021 0.804459i
\(116\) −78.9763 + 65.7930i −0.680830 + 0.567181i
\(117\) 204.208 + 7.89985i 1.74536 + 0.0675201i
\(118\) 19.3603 + 53.4870i 0.164070 + 0.453280i
\(119\) 142.365 + 25.1029i 1.19635 + 0.210949i
\(120\) 55.5854 63.0214i 0.463212 0.525178i
\(121\) −85.6316 31.1674i −0.707699 0.257581i
\(122\) 40.7696 70.3267i 0.334177 0.576448i
\(123\) −155.443 30.5184i −1.26376 0.248117i
\(124\) −77.4268 45.0694i −0.624410 0.363463i
\(125\) 66.0714 + 114.439i 0.528571 + 0.915512i
\(126\) −156.419 34.1536i −1.24142 0.271060i
\(127\) 136.000 + 78.5197i 1.07087 + 0.618266i 0.928418 0.371537i \(-0.121169\pi\)
0.142449 + 0.989802i \(0.454502\pi\)
\(128\) −119.728 45.2686i −0.935374 0.353661i
\(129\) 29.2936 + 0.566406i 0.227082 + 0.00439074i
\(130\) −159.008 0.282044i −1.22314 0.00216957i
\(131\) −32.6480 38.9084i −0.249222 0.297011i 0.626901 0.779099i \(-0.284323\pi\)
−0.876123 + 0.482088i \(0.839879\pi\)
\(132\) −62.1289 + 21.0162i −0.470673 + 0.159214i
\(133\) 188.559 68.6300i 1.41774 0.516015i
\(134\) −178.062 31.7230i −1.32882 0.236738i
\(135\) 56.4667 + 75.8197i 0.418272 + 0.561628i
\(136\) −65.6087 + 112.254i −0.482417 + 0.825396i
\(137\) 83.6505 30.4463i 0.610588 0.222236i −0.0181727 0.999835i \(-0.505785\pi\)
0.628760 + 0.777599i \(0.283563\pi\)
\(138\) 107.234 177.000i 0.777059 1.28261i
\(139\) −44.4026 52.9170i −0.319443 0.380698i 0.582297 0.812976i \(-0.302154\pi\)
−0.901740 + 0.432279i \(0.857710\pi\)
\(140\) 122.603 + 22.0670i 0.875738 + 0.157622i
\(141\) 36.1461 59.9018i 0.256355 0.424836i
\(142\) −130.206 155.734i −0.916945 1.09672i
\(143\) 107.479 + 62.0528i 0.751599 + 0.433936i
\(144\) 77.6294 121.283i 0.539093 0.842246i
\(145\) 44.9883 + 77.9220i 0.310264 + 0.537393i
\(146\) −60.1108 21.9994i −0.411718 0.150681i
\(147\) −29.2530 85.4786i −0.199000 0.581487i
\(148\) −48.1824 40.7220i −0.325557 0.275149i
\(149\) −200.510 72.9797i −1.34571 0.489797i −0.434101 0.900864i \(-0.642934\pi\)
−0.911605 + 0.411067i \(0.865156\pi\)
\(150\) 47.8900 + 59.5831i 0.319267 + 0.397220i
\(151\) 70.6394 + 12.4556i 0.467811 + 0.0824877i 0.402585 0.915383i \(-0.368112\pi\)
0.0652263 + 0.997870i \(0.479223\pi\)
\(152\) −0.960374 + 180.475i −0.00631825 + 1.18733i
\(153\) −108.334 98.2841i −0.708063 0.642379i
\(154\) −74.3711 62.6299i −0.482929 0.406688i
\(155\) −50.4077 + 60.0735i −0.325211 + 0.387571i
\(156\) −269.353 + 41.1641i −1.72662 + 0.263872i
\(157\) −45.4824 257.943i −0.289697 1.64295i −0.688009 0.725702i \(-0.741515\pi\)
0.398312 0.917250i \(-0.369596\pi\)
\(158\) 43.8551 25.2161i 0.277564 0.159596i
\(159\) 12.1480 1.90065i 0.0764023 0.0119538i
\(160\) −56.8799 + 96.5315i −0.355499 + 0.603322i
\(161\) 306.791 1.90553
\(162\) 115.482 + 113.613i 0.712854 + 0.701313i
\(163\) 302.114i 1.85346i −0.375725 0.926731i \(-0.622606\pi\)
0.375725 0.926731i \(-0.377394\pi\)
\(164\) 211.212 + 0.749290i 1.28788 + 0.00456884i
\(165\) 8.87443 + 56.7208i 0.0537844 + 0.343762i
\(166\) 83.0659 47.7619i 0.500397 0.287722i
\(167\) −111.528 + 19.6654i −0.667833 + 0.117757i −0.497278 0.867591i \(-0.665667\pi\)
−0.170555 + 0.985348i \(0.554556\pi\)
\(168\) 213.407 + 5.26249i 1.27028 + 0.0313243i
\(169\) 265.506 + 222.786i 1.57104 + 1.31826i
\(170\) 87.0552 + 73.3115i 0.512089 + 0.431244i
\(171\) −198.440 42.9601i −1.16047 0.251229i
\(172\) −38.4958 + 6.64713i −0.223813 + 0.0386461i
\(173\) −47.6724 + 270.364i −0.275563 + 1.56280i 0.461605 + 0.887086i \(0.347274\pi\)
−0.737168 + 0.675710i \(0.763837\pi\)
\(174\) 96.5942 + 120.179i 0.555139 + 0.690684i
\(175\) −38.7588 + 106.489i −0.221479 + 0.608509i
\(176\) 76.0419 43.1863i 0.432056 0.245377i
\(177\) 80.7280 27.6273i 0.456091 0.156086i
\(178\) 169.284 + 61.9547i 0.951035 + 0.348060i
\(179\) −42.5533 + 24.5682i −0.237728 + 0.137252i −0.614132 0.789203i \(-0.710494\pi\)
0.376404 + 0.926456i \(0.377160\pi\)
\(180\) −93.0535 85.0251i −0.516964 0.472362i
\(181\) −71.8830 + 124.505i −0.397144 + 0.687873i −0.993372 0.114942i \(-0.963332\pi\)
0.596229 + 0.802815i \(0.296665\pi\)
\(182\) −259.097 309.894i −1.42361 1.70271i
\(183\) −104.400 62.9973i −0.570492 0.344247i
\(184\) −95.7529 + 258.786i −0.520396 + 1.40644i
\(185\) −42.3020 + 35.4956i −0.228660 + 0.191868i
\(186\) −69.6329 + 114.935i −0.374370 + 0.617932i
\(187\) −30.3817 83.4731i −0.162469 0.446380i
\(188\) −32.2156 + 87.5441i −0.171360 + 0.465660i
\(189\) −55.3421 + 233.693i −0.292815 + 1.23647i
\(190\) 155.529 + 27.7086i 0.818576 + 0.145835i
\(191\) 96.1293 + 264.113i 0.503295 + 1.38279i 0.888039 + 0.459768i \(0.152067\pi\)
−0.384744 + 0.923023i \(0.625710\pi\)
\(192\) −71.0458 + 178.372i −0.370030 + 0.929020i
\(193\) 133.817 112.286i 0.693352 0.581791i −0.226522 0.974006i \(-0.572735\pi\)
0.919874 + 0.392215i \(0.128291\pi\)
\(194\) −296.854 0.526553i −1.53018 0.00271419i
\(195\) −4.61088 + 238.467i −0.0236455 + 1.22291i
\(196\) 59.8600 + 104.535i 0.305408 + 0.533343i
\(197\) 75.0398 129.973i 0.380913 0.659761i −0.610280 0.792186i \(-0.708943\pi\)
0.991193 + 0.132425i \(0.0422764\pi\)
\(198\) 29.8831 + 93.7324i 0.150925 + 0.473396i
\(199\) 144.287 83.3043i 0.725062 0.418615i −0.0915512 0.995800i \(-0.529183\pi\)
0.816613 + 0.577186i \(0.195849\pi\)
\(200\) −77.7290 65.9304i −0.388645 0.329652i
\(201\) −52.2668 + 266.217i −0.260034 + 1.32446i
\(202\) −10.2301 + 17.6466i −0.0506439 + 0.0873596i
\(203\) −78.1765 + 214.788i −0.385106 + 1.05807i
\(204\) 166.627 + 101.354i 0.816798 + 0.496835i
\(205\) 32.1046 182.074i 0.156608 0.888167i
\(206\) 9.82054 + 27.1314i 0.0476725 + 0.131706i
\(207\) −262.634 165.488i −1.26876 0.799460i
\(208\) 342.270 121.833i 1.64553 0.585736i
\(209\) −94.4548 79.2570i −0.451937 0.379220i
\(210\) 36.3245 183.295i 0.172974 0.872835i
\(211\) 305.846 53.9289i 1.44951 0.255587i 0.607184 0.794561i \(-0.292299\pi\)
0.842323 + 0.538974i \(0.181188\pi\)
\(212\) −15.4254 + 5.55251i −0.0727615 + 0.0261911i
\(213\) −236.994 + 191.178i −1.11265 + 0.897547i
\(214\) 160.999 28.0942i 0.752333 0.131281i
\(215\) 34.1954i 0.159049i
\(216\) −179.853 119.620i −0.832651 0.553798i
\(217\) −199.216 −0.918046
\(218\) −66.4805 380.980i −0.304957 1.74762i
\(219\) −34.5771 + 89.5729i −0.157886 + 0.409008i
\(220\) −25.9255 72.0238i −0.117843 0.327381i
\(221\) −64.0837 363.437i −0.289971 1.64451i
\(222\) −62.3426 + 71.1900i −0.280823 + 0.320676i
\(223\) 12.9953 15.4873i 0.0582751 0.0694496i −0.736119 0.676852i \(-0.763344\pi\)
0.794395 + 0.607402i \(0.207788\pi\)
\(224\) −280.733 + 46.9375i −1.25327 + 0.209542i
\(225\) 90.6221 70.2547i 0.402765 0.312243i
\(226\) −2.76380 + 1.00039i −0.0122292 + 0.00442652i
\(227\) 46.8151 + 8.25477i 0.206234 + 0.0363646i 0.275811 0.961212i \(-0.411054\pi\)
−0.0695767 + 0.997577i \(0.522165\pi\)
\(228\) 270.645 + 6.19360i 1.18704 + 0.0271649i
\(229\) 66.3275 + 24.1412i 0.289640 + 0.105420i 0.482754 0.875756i \(-0.339637\pi\)
−0.193114 + 0.981176i \(0.561859\pi\)
\(230\) 208.960 + 121.138i 0.908521 + 0.526686i
\(231\) −95.8891 + 109.890i −0.415104 + 0.475714i
\(232\) −156.779 132.982i −0.675773 0.573196i
\(233\) −191.622 331.898i −0.822411 1.42446i −0.903882 0.427781i \(-0.859295\pi\)
0.0814716 0.996676i \(-0.474038\pi\)
\(234\) 54.6425 + 405.051i 0.233515 + 1.73099i
\(235\) 70.7149 + 40.8272i 0.300914 + 0.173733i
\(236\) −98.7255 + 56.5332i −0.418328 + 0.239547i
\(237\) −36.6633 66.4366i −0.154698 0.280323i
\(238\) −0.512840 + 289.123i −0.00215479 + 1.21480i
\(239\) 220.713 + 263.036i 0.923486 + 1.10057i 0.994671 + 0.103104i \(0.0328775\pi\)
−0.0711850 + 0.997463i \(0.522678\pi\)
\(240\) 143.277 + 87.8491i 0.596987 + 0.366038i
\(241\) −226.848 + 82.5658i −0.941276 + 0.342597i −0.766670 0.642042i \(-0.778088\pi\)
−0.174607 + 0.984638i \(0.555865\pi\)
\(242\) 31.9665 179.429i 0.132093 0.741443i
\(243\) 173.434 170.204i 0.713721 0.700430i
\(244\) 152.576 + 56.1470i 0.625313 + 0.230111i
\(245\) 99.0848 36.0639i 0.404428 0.147200i
\(246\) 6.68658 316.750i 0.0271812 1.28760i
\(247\) −329.271 392.410i −1.33308 1.58871i
\(248\) 62.1775 168.043i 0.250716 0.677595i
\(249\) −69.4440 125.838i −0.278892 0.505372i
\(250\) −202.756 + 169.520i −0.811022 + 0.678081i
\(251\) −36.5452 21.0994i −0.145598 0.0840612i 0.425431 0.904991i \(-0.360122\pi\)
−0.571029 + 0.820930i \(0.693456\pi\)
\(252\) 13.5131 319.923i 0.0536236 1.26954i
\(253\) −94.2584 163.260i −0.372563 0.645298i
\(254\) −107.945 + 294.947i −0.424979 + 1.16121i
\(255\) 112.243 128.632i 0.440169 0.504438i
\(256\) 48.0268 251.455i 0.187605 0.982245i
\(257\) 201.446 + 73.3205i 0.783838 + 0.285294i 0.702772 0.711415i \(-0.251945\pi\)
0.0810661 + 0.996709i \(0.474168\pi\)
\(258\) 8.95526 + 57.9099i 0.0347103 + 0.224457i
\(259\) −138.151 24.3597i −0.533401 0.0940530i
\(260\) −54.1115 313.379i −0.208121 1.20530i
\(261\) 182.785 141.704i 0.700325 0.542926i
\(262\) 65.4340 77.7009i 0.249748 0.296568i
\(263\) −68.4293 + 81.5508i −0.260187 + 0.310079i −0.880285 0.474446i \(-0.842649\pi\)
0.620098 + 0.784525i \(0.287093\pi\)
\(264\) −62.7668 115.183i −0.237753 0.436298i
\(265\) 2.49195 + 14.1326i 0.00940359 + 0.0533304i
\(266\) 200.044 + 347.910i 0.752045 + 1.30793i
\(267\) 97.3763 252.256i 0.364705 0.944777i
\(268\) 1.28326 361.730i 0.00478829 1.34974i
\(269\) −443.421 −1.64841 −0.824203 0.566294i \(-0.808377\pi\)
−0.824203 + 0.566294i \(0.808377\pi\)
\(270\) −129.969 + 137.319i −0.481366 + 0.508590i
\(271\) 315.051i 1.16255i 0.813707 + 0.581275i \(0.197446\pi\)
−0.813707 + 0.581275i \(0.802554\pi\)
\(272\) −243.722 90.6710i −0.896037 0.333349i
\(273\) −471.593 + 380.423i −1.72745 + 1.39349i
\(274\) 88.7454 + 154.343i 0.323888 + 0.563296i
\(275\) 68.5769 12.0920i 0.249371 0.0439708i
\(276\) 385.597 + 150.423i 1.39709 + 0.545011i
\(277\) 123.961 + 104.016i 0.447514 + 0.375509i 0.838512 0.544883i \(-0.183426\pi\)
−0.390999 + 0.920391i \(0.627870\pi\)
\(278\) 88.9928 105.676i 0.320118 0.380130i
\(279\) 170.542 + 107.460i 0.611263 + 0.385163i
\(280\) −1.32578 + 249.143i −0.00473495 + 0.889797i
\(281\) −72.5198 + 411.280i −0.258078 + 1.46363i 0.529970 + 0.848016i \(0.322203\pi\)
−0.788048 + 0.615614i \(0.788908\pi\)
\(282\) 130.447 + 50.6217i 0.462580 + 0.179509i
\(283\) 18.4189 50.6056i 0.0650845 0.178818i −0.902887 0.429878i \(-0.858557\pi\)
0.967972 + 0.251059i \(0.0807789\pi\)
\(284\) 262.066 310.078i 0.922768 1.09182i
\(285\) 45.6527 232.528i 0.160185 0.815889i
\(286\) −85.3069 + 233.091i −0.298276 + 0.815005i
\(287\) 406.745 234.835i 1.41723 0.818239i
\(288\) 265.645 + 111.250i 0.922379 + 0.386285i
\(289\) 12.4263 21.5230i 0.0429976 0.0744741i
\(290\) −138.057 + 115.427i −0.476059 + 0.398024i
\(291\) −8.60812 + 445.199i −0.0295812 + 1.52989i
\(292\) 22.6775 125.995i 0.0776628 0.431491i
\(293\) −188.522 + 158.189i −0.643419 + 0.539893i −0.905066 0.425271i \(-0.860179\pi\)
0.261647 + 0.965164i \(0.415734\pi\)
\(294\) 158.355 87.0229i 0.538623 0.295996i
\(295\) 34.0596 + 93.5780i 0.115456 + 0.317214i
\(296\) 63.6664 108.931i 0.215089 0.368009i
\(297\) 141.364 42.3491i 0.475973 0.142590i
\(298\) 74.8509 420.142i 0.251178 1.40987i
\(299\) −267.866 735.957i −0.895874 2.46139i
\(300\) −100.928 + 114.839i −0.336425 + 0.382797i
\(301\) −66.5453 + 55.8381i −0.221081 + 0.185509i
\(302\) −0.254463 + 143.458i −0.000842592 + 0.475027i
\(303\) 26.1964 + 15.8075i 0.0864569 + 0.0521700i
\(304\) −355.907 + 60.1554i −1.17075 + 0.197880i
\(305\) 71.1558 123.245i 0.233298 0.404084i
\(306\) 156.397 247.232i 0.511100 0.807949i
\(307\) 237.614 137.186i 0.773987 0.446861i −0.0603082 0.998180i \(-0.519208\pi\)
0.834295 + 0.551318i \(0.185875\pi\)
\(308\) 97.8262 168.060i 0.317618 0.545650i
\(309\) 40.9494 14.0140i 0.132522 0.0453527i
\(310\) −135.689 78.6612i −0.437706 0.253746i
\(311\) −4.91549 + 13.5052i −0.0158054 + 0.0434251i −0.947344 0.320216i \(-0.896244\pi\)
0.931539 + 0.363641i \(0.118467\pi\)
\(312\) −173.707 516.535i −0.556752 1.65556i
\(313\) 3.07623 17.4462i 0.00982822 0.0557386i −0.979499 0.201448i \(-0.935435\pi\)
0.989327 + 0.145709i \(0.0465464\pi\)
\(314\) 492.571 178.292i 1.56870 0.567810i
\(315\) −273.944 59.3059i −0.869663 0.188273i
\(316\) 64.7590 + 77.7352i 0.204934 + 0.245997i
\(317\) 20.5145 + 17.2137i 0.0647144 + 0.0543018i 0.674571 0.738210i \(-0.264329\pi\)
−0.609857 + 0.792512i \(0.708773\pi\)
\(318\) 7.92121 + 23.2808i 0.0249095 + 0.0732102i
\(319\) 138.320 24.3895i 0.433604 0.0764560i
\(320\) −209.745 78.8787i −0.655452 0.246496i
\(321\) −37.8944 242.202i −0.118051 0.754522i
\(322\) 105.475 + 604.448i 0.327563 + 1.87717i
\(323\) 366.653i 1.13515i
\(324\) −184.140 + 266.587i −0.568333 + 0.822799i
\(325\) 289.296 0.890143
\(326\) 595.234 103.868i 1.82587 0.318612i
\(327\) −573.133 + 89.6713i −1.75270 + 0.274224i
\(328\) 71.1390 + 416.394i 0.216887 + 1.26949i
\(329\) 36.0201 + 204.280i 0.109484 + 0.620913i
\(330\) −108.702 + 36.9854i −0.329400 + 0.112077i
\(331\) −171.799 + 204.742i −0.519031 + 0.618557i −0.960351 0.278793i \(-0.910066\pi\)
0.441320 + 0.897350i \(0.354510\pi\)
\(332\) 122.660 + 147.238i 0.369458 + 0.443488i
\(333\) 105.127 + 95.3745i 0.315695 + 0.286410i
\(334\) −77.0890 212.975i −0.230805 0.637649i
\(335\) −311.827 54.9835i −0.930827 0.164130i
\(336\) 63.0016 + 422.270i 0.187505 + 1.25676i
\(337\) −45.3861 16.5192i −0.134677 0.0490184i 0.273802 0.961786i \(-0.411719\pi\)
−0.408479 + 0.912768i \(0.633941\pi\)
\(338\) −347.658 + 599.703i −1.02858 + 1.77427i
\(339\) 1.42757 + 4.17141i 0.00421111 + 0.0123050i
\(340\) −114.511 + 196.723i −0.336796 + 0.578598i
\(341\) 61.2071 + 106.014i 0.179493 + 0.310891i
\(342\) 16.4171 405.742i 0.0480032 1.18638i
\(343\) −145.470 83.9870i −0.424110 0.244860i
\(344\) −26.3313 73.5602i −0.0765445 0.213838i
\(345\) 187.182 310.201i 0.542557 0.899133i
\(346\) −549.068 0.973924i −1.58690 0.00281481i
\(347\) 132.441 + 157.837i 0.381673 + 0.454860i 0.922342 0.386375i \(-0.126273\pi\)
−0.540668 + 0.841236i \(0.681829\pi\)
\(348\) −203.571 + 231.630i −0.584974 + 0.665605i
\(349\) −154.612 + 56.2741i −0.443013 + 0.161244i −0.553889 0.832591i \(-0.686857\pi\)
0.110875 + 0.993834i \(0.464635\pi\)
\(350\) −223.133 39.7526i −0.637523 0.113579i
\(351\) 608.923 71.2830i 1.73482 0.203086i
\(352\) 111.230 + 134.972i 0.315995 + 0.383444i
\(353\) 448.666 163.301i 1.27101 0.462609i 0.383560 0.923516i \(-0.374698\pi\)
0.887449 + 0.460907i \(0.152476\pi\)
\(354\) 82.1865 + 149.554i 0.232165 + 0.422470i
\(355\) −228.432 272.234i −0.643470 0.766857i
\(356\) −63.8646 + 354.829i −0.179395 + 0.996710i
\(357\) 433.604 + 8.38393i 1.21458 + 0.0234844i
\(358\) −63.0349 75.3932i −0.176075 0.210596i
\(359\) −361.309 208.602i −1.00643 0.581064i −0.0962869 0.995354i \(-0.530697\pi\)
−0.910145 + 0.414290i \(0.864030\pi\)
\(360\) 135.527 212.568i 0.376464 0.590468i
\(361\) 73.9690 + 128.118i 0.204900 + 0.354898i
\(362\) −270.017 98.8208i −0.745903 0.272986i
\(363\) −268.260 52.6681i −0.739009 0.145091i
\(364\) 521.484 617.022i 1.43265 1.69511i
\(365\) −105.302 38.3270i −0.288500 0.105005i
\(366\) 88.2261 227.350i 0.241055 0.621176i
\(367\) 46.8441 + 8.25989i 0.127641 + 0.0225065i 0.237104 0.971484i \(-0.423802\pi\)
−0.109463 + 0.993991i \(0.534913\pi\)
\(368\) −542.787 99.6839i −1.47496 0.270880i
\(369\) −474.876 18.3707i −1.28693 0.0497852i
\(370\) −84.4780 71.1412i −0.228319 0.192274i
\(371\) −23.4332 + 27.9266i −0.0631623 + 0.0752739i
\(372\) −250.389 97.6777i −0.673088 0.262574i
\(373\) −3.14422 17.8318i −0.00842956 0.0478064i 0.980303 0.197500i \(-0.0632823\pi\)
−0.988732 + 0.149694i \(0.952171\pi\)
\(374\) 154.016 88.5572i 0.411807 0.236784i
\(375\) 248.901 + 308.551i 0.663736 + 0.822803i
\(376\) −183.558 33.3743i −0.488185 0.0887613i
\(377\) 583.510 1.54777
\(378\) −479.455 28.6926i −1.26840 0.0759063i
\(379\) 492.502i 1.29948i 0.760157 + 0.649739i \(0.225122\pi\)
−0.760157 + 0.649739i \(0.774878\pi\)
\(380\) −1.12087 + 315.955i −0.00294966 + 0.831460i
\(381\) 439.509 + 169.660i 1.15357 + 0.445302i
\(382\) −487.314 + 280.199i −1.27569 + 0.733506i
\(383\) 43.2067 7.61850i 0.112811 0.0198916i −0.116958 0.993137i \(-0.537314\pi\)
0.229769 + 0.973245i \(0.426203\pi\)
\(384\) −375.859 78.6519i −0.978799 0.204823i
\(385\) −130.394 109.413i −0.338685 0.284190i
\(386\) 267.235 + 225.046i 0.692319 + 0.583020i
\(387\) 87.0873 11.9056i 0.225032 0.0307639i
\(388\) −101.022 585.052i −0.260365 1.50786i
\(389\) −43.7808 + 248.293i −0.112547 + 0.638286i 0.875388 + 0.483420i \(0.160606\pi\)
−0.987936 + 0.154866i \(0.950505\pi\)
\(390\) −471.421 + 72.9011i −1.20877 + 0.186926i
\(391\) −191.729 + 526.771i −0.490355 + 1.34724i
\(392\) −185.378 + 153.877i −0.472904 + 0.392544i
\(393\) −114.810 100.182i −0.292137 0.254917i
\(394\) 281.875 + 103.161i 0.715419 + 0.261829i
\(395\) 76.6975 44.2813i 0.194171 0.112105i
\(396\) −174.400 + 91.1020i −0.440405 + 0.230056i
\(397\) 62.6518 108.516i 0.157813 0.273340i −0.776267 0.630405i \(-0.782889\pi\)
0.934080 + 0.357064i \(0.116222\pi\)
\(398\) 213.735 + 255.639i 0.537022 + 0.642308i
\(399\) 527.053 290.857i 1.32094 0.728964i
\(400\) 103.175 175.811i 0.257936 0.439527i
\(401\) 390.899 328.004i 0.974812 0.817964i −0.00848695 0.999964i \(-0.502702\pi\)
0.983299 + 0.182000i \(0.0582571\pi\)
\(402\) −542.477 11.4517i −1.34945 0.0284868i
\(403\) 173.940 + 477.896i 0.431613 + 1.18585i
\(404\) −38.2850 14.0886i −0.0947649 0.0348728i
\(405\) 202.524 + 198.540i 0.500060 + 0.490222i
\(406\) −450.059 80.1810i −1.10852 0.197490i
\(407\) 29.4823 + 81.0020i 0.0724381 + 0.199022i
\(408\) −142.405 + 363.139i −0.349031 + 0.890046i
\(409\) −518.054 + 434.699i −1.26664 + 1.06283i −0.271694 + 0.962384i \(0.587584\pi\)
−0.994942 + 0.100451i \(0.967972\pi\)
\(410\) 369.766 + 0.655882i 0.901867 + 0.00159971i
\(411\) 233.816 129.033i 0.568896 0.313948i
\(412\) −50.0787 + 28.6765i −0.121550 + 0.0696032i
\(413\) −126.489 + 219.085i −0.306269 + 0.530473i
\(414\) 235.755 574.344i 0.569457 1.38731i
\(415\) 145.273 83.8732i 0.350055 0.202104i
\(416\) 357.712 + 632.464i 0.859885 + 1.52035i
\(417\) −156.146 136.252i −0.374451 0.326743i
\(418\) 123.681 213.346i 0.295887 0.510398i
\(419\) 13.5624 37.2623i 0.0323684 0.0889315i −0.922456 0.386103i \(-0.873821\pi\)
0.954824 + 0.297171i \(0.0960432\pi\)
\(420\) 373.622 + 8.55019i 0.889577 + 0.0203576i
\(421\) 4.01215 22.7540i 0.00953005 0.0540476i −0.979672 0.200607i \(-0.935709\pi\)
0.989202 + 0.146559i \(0.0468198\pi\)
\(422\) 211.403 + 584.046i 0.500954 + 1.38399i
\(423\) 79.3565 194.308i 0.187604 0.459356i
\(424\) −16.2430 28.4827i −0.0383090 0.0671761i
\(425\) −158.623 133.100i −0.373231 0.313178i
\(426\) −458.143 401.205i −1.07545 0.941797i
\(427\) 356.030 62.7777i 0.833794 0.147020i
\(428\) 110.704 + 307.547i 0.258654 + 0.718567i
\(429\) 347.336 + 134.080i 0.809642 + 0.312540i
\(430\) −67.3728 + 11.7565i −0.156681 + 0.0273406i
\(431\) 617.967i 1.43380i −0.697177 0.716899i \(-0.745561\pi\)
0.697177 0.716899i \(-0.254439\pi\)
\(432\) 173.846 395.476i 0.402421 0.915455i
\(433\) 135.919 0.313902 0.156951 0.987606i \(-0.449834\pi\)
0.156951 + 0.987606i \(0.449834\pi\)
\(434\) −68.4909 392.501i −0.157813 0.904380i
\(435\) 169.478 + 210.094i 0.389604 + 0.482974i
\(436\) 727.762 261.964i 1.66918 0.600834i
\(437\) 135.119 + 766.296i 0.309196 + 1.75354i
\(438\) −188.367 37.3295i −0.430061 0.0852272i
\(439\) −217.856 + 259.631i −0.496255 + 0.591414i −0.954797 0.297259i \(-0.903927\pi\)
0.458542 + 0.888673i \(0.348372\pi\)
\(440\) 132.990 75.8412i 0.302250 0.172366i
\(441\) −126.344 239.788i −0.286493 0.543737i
\(442\) 694.021 251.210i 1.57018 0.568348i
\(443\) 329.343 + 58.0721i 0.743439 + 0.131088i 0.532523 0.846416i \(-0.321244\pi\)
0.210916 + 0.977504i \(0.432355\pi\)
\(444\) −161.694 98.3539i −0.364176 0.221518i
\(445\) 296.553 + 107.937i 0.666412 + 0.242554i
\(446\) 34.9812 + 20.2793i 0.0784333 + 0.0454692i
\(447\) −628.144 123.325i −1.40524 0.275894i
\(448\) −188.994 536.970i −0.421862 1.19859i
\(449\) 33.3868 + 57.8276i 0.0743581 + 0.128792i 0.900807 0.434220i \(-0.142976\pi\)
−0.826449 + 0.563012i \(0.809643\pi\)
\(450\) 169.574 + 154.393i 0.376831 + 0.343095i
\(451\) −249.937 144.301i −0.554184 0.319958i
\(452\) −2.92120 5.10138i −0.00646284 0.0112862i
\(453\) 215.147 + 4.15997i 0.474939 + 0.00918316i
\(454\) −0.168641 + 95.0745i −0.000371456 + 0.209415i
\(455\) −454.555 541.718i −0.999022 1.19059i
\(456\) 80.8455 + 535.362i 0.177293 + 1.17404i
\(457\) 400.777 145.871i 0.876974 0.319192i 0.135986 0.990711i \(-0.456580\pi\)
0.740988 + 0.671518i \(0.234358\pi\)
\(458\) −24.7602 + 138.980i −0.0540616 + 0.303450i
\(459\) −366.672 241.070i −0.798850 0.525208i
\(460\) −166.828 + 453.346i −0.362670 + 0.985535i
\(461\) −107.797 + 39.2350i −0.233834 + 0.0851084i −0.456279 0.889837i \(-0.650818\pi\)
0.222446 + 0.974945i \(0.428596\pi\)
\(462\) −249.475 151.143i −0.539989 0.327149i
\(463\) −203.177 242.137i −0.438827 0.522973i 0.500621 0.865667i \(-0.333105\pi\)
−0.939447 + 0.342694i \(0.888661\pi\)
\(464\) 208.103 354.611i 0.448498 0.764247i
\(465\) −121.547 + 201.430i −0.261392 + 0.433183i
\(466\) 588.036 491.646i 1.26188 1.05503i
\(467\) 368.289 + 212.632i 0.788627 + 0.455314i 0.839479 0.543392i \(-0.182860\pi\)
−0.0508517 + 0.998706i \(0.516194\pi\)
\(468\) −779.258 + 246.916i −1.66508 + 0.527598i
\(469\) −402.186 696.607i −0.857540 1.48530i
\(470\) −56.1271 + 153.361i −0.119419 + 0.326300i
\(471\) −254.424 743.438i −0.540178 1.57842i
\(472\) −145.325 175.076i −0.307893 0.370923i
\(473\) 50.1599 + 18.2567i 0.106046 + 0.0385977i
\(474\) 118.290 95.0762i 0.249558 0.200583i
\(475\) −283.056 49.9105i −0.595908 0.105075i
\(476\) −569.814 + 98.3907i −1.19709 + 0.206703i
\(477\) 35.1245 11.2668i 0.0736362 0.0236202i
\(478\) −442.359 + 525.287i −0.925436 + 1.09893i
\(479\) 100.261 119.487i 0.209314 0.249450i −0.651166 0.758936i \(-0.725720\pi\)
0.860479 + 0.509485i \(0.170164\pi\)
\(480\) −123.824 + 312.491i −0.257966 + 0.651023i
\(481\) 62.1865 + 352.677i 0.129286 + 0.733217i
\(482\) −240.664 418.555i −0.499303 0.868372i
\(483\) 909.311 142.269i 1.88263 0.294553i
\(484\) 364.507 + 1.29311i 0.753113 + 0.00267172i
\(485\) −519.696 −1.07154
\(486\) 394.969 + 283.189i 0.812693 + 0.582692i
\(487\) 545.789i 1.12072i −0.828250 0.560359i \(-0.810663\pi\)
0.828250 0.560359i \(-0.189337\pi\)
\(488\) −58.1664 + 319.914i −0.119193 + 0.655561i
\(489\) −140.100 895.449i −0.286504 1.83118i
\(490\) 105.120 + 182.821i 0.214530 + 0.373104i
\(491\) −193.358 + 34.0942i −0.393804 + 0.0694383i −0.367044 0.930204i \(-0.619630\pi\)
−0.0267601 + 0.999642i \(0.508519\pi\)
\(492\) 626.369 95.7252i 1.27311 0.194563i
\(493\) −319.942 268.464i −0.648970 0.544551i
\(494\) 659.934 783.651i 1.33590 1.58634i
\(495\) 52.6066 + 164.002i 0.106276 + 0.331317i
\(496\) 352.461 + 64.7301i 0.710607 + 0.130504i
\(497\) 156.767 889.069i 0.315426 1.78887i
\(498\) 224.054 180.084i 0.449907 0.361614i
\(499\) −329.193 + 904.449i −0.659705 + 1.81252i −0.0814345 + 0.996679i \(0.525950\pi\)
−0.578270 + 0.815845i \(0.696272\pi\)
\(500\) −403.701 341.193i −0.807402 0.682387i
\(501\) −321.443 + 110.006i −0.641604 + 0.219574i
\(502\) 29.0062 79.2563i 0.0577814 0.157881i
\(503\) −379.909 + 219.340i −0.755285 + 0.436064i −0.827600 0.561318i \(-0.810295\pi\)
0.0723150 + 0.997382i \(0.476961\pi\)
\(504\) 634.967 83.3662i 1.25986 0.165409i
\(505\) −17.8547 + 30.9252i −0.0353558 + 0.0612380i
\(506\) 289.254 241.840i 0.571648 0.477945i
\(507\) 890.259 + 537.202i 1.75594 + 1.05957i
\(508\) −618.224 111.272i −1.21698 0.219040i
\(509\) −193.632 + 162.477i −0.380417 + 0.319208i −0.812866 0.582450i \(-0.802094\pi\)
0.432449 + 0.901658i \(0.357650\pi\)
\(510\) 292.023 + 176.921i 0.572595 + 0.346903i
\(511\) −97.3642 267.506i −0.190537 0.523495i
\(512\) 511.935 + 8.17321i 0.999873 + 0.0159633i
\(513\) −608.086 35.3081i −1.18535 0.0688267i
\(514\) −75.2004 + 422.103i −0.146304 + 0.821213i
\(515\) 17.2768 + 47.4676i 0.0335472 + 0.0921701i
\(516\) −111.017 + 37.5535i −0.215149 + 0.0727780i
\(517\) 97.6420 81.9313i 0.188863 0.158475i
\(518\) 0.497658 280.564i 0.000960729 0.541629i
\(519\) −15.9218 + 823.449i −0.0306778 + 1.58661i
\(520\) 598.824 214.352i 1.15158 0.412216i
\(521\) −364.963 + 632.134i −0.700504 + 1.21331i 0.267785 + 0.963479i \(0.413708\pi\)
−0.968290 + 0.249830i \(0.919625\pi\)
\(522\) 342.030 + 311.410i 0.655231 + 0.596570i
\(523\) −405.945 + 234.373i −0.776186 + 0.448131i −0.835077 0.550133i \(-0.814577\pi\)
0.0588911 + 0.998264i \(0.481244\pi\)
\(524\) 175.585 + 102.206i 0.335085 + 0.195050i
\(525\) −65.4965 + 333.601i −0.124755 + 0.635430i
\(526\) −184.200 106.784i −0.350190 0.203011i
\(527\) 124.500 342.061i 0.236243 0.649071i
\(528\) 205.357 163.265i 0.388933 0.309214i
\(529\) −114.724 + 650.630i −0.216869 + 1.22992i
\(530\) −26.9876 + 9.76851i −0.0509200 + 0.0184312i
\(531\) 226.462 119.322i 0.426481 0.224712i
\(532\) −616.687 + 513.745i −1.15919 + 0.965685i
\(533\) −918.481 770.697i −1.72323 1.44596i
\(534\) 530.479 + 105.128i 0.993407 + 0.196868i
\(535\) 281.769 49.6836i 0.526672 0.0928665i
\(536\) 713.132 121.835i 1.33047 0.227304i
\(537\) −114.733 + 92.5521i −0.213655 + 0.172350i
\(538\) −152.449 873.641i −0.283363 1.62387i
\(539\) 164.598i 0.305376i
\(540\) −315.234 208.858i −0.583767 0.386773i
\(541\) 578.608 1.06952 0.534758 0.845005i \(-0.320403\pi\)
0.534758 + 0.845005i \(0.320403\pi\)
\(542\) −620.723 + 108.315i −1.14524 + 0.199844i
\(543\) −155.320 + 402.360i −0.286041 + 0.740995i
\(544\) 94.8504 511.361i 0.174357 0.940002i
\(545\) −117.569 666.765i −0.215722 1.22342i
\(546\) −911.655 798.356i −1.66970 1.46219i
\(547\) 163.148 194.432i 0.298259 0.355451i −0.596013 0.802975i \(-0.703249\pi\)
0.894272 + 0.447524i \(0.147694\pi\)
\(548\) −273.580 + 227.912i −0.499234 + 0.415898i
\(549\) −338.650 138.307i −0.616848 0.251924i
\(550\) 47.4008 + 130.955i 0.0861833 + 0.238100i
\(551\) −570.924 100.669i −1.03616 0.182703i
\(552\) −163.798 + 811.430i −0.296736 + 1.46998i
\(553\) 211.413 + 76.9480i 0.382302 + 0.139146i
\(554\) −162.317 + 279.993i −0.292991 + 0.505402i
\(555\) −108.920 + 124.824i −0.196253 + 0.224908i
\(556\) 238.802 + 139.004i 0.429500 + 0.250008i
\(557\) 65.6464 + 113.703i 0.117857 + 0.204135i 0.918918 0.394448i \(-0.129064\pi\)
−0.801061 + 0.598583i \(0.795731\pi\)
\(558\) −153.089 + 372.953i −0.274352 + 0.668374i
\(559\) 192.052 + 110.881i 0.343563 + 0.198356i
\(560\) −491.325 + 83.0439i −0.877366 + 0.148293i
\(561\) −128.759 233.320i −0.229517 0.415901i
\(562\) −835.249 1.48155i −1.48621 0.00263620i
\(563\) −233.686 278.496i −0.415072 0.494664i 0.517482 0.855694i \(-0.326870\pi\)
−0.932554 + 0.361030i \(0.882425\pi\)
\(564\) −54.8881 + 274.415i −0.0973194 + 0.486552i
\(565\) −4.83540 + 1.75994i −0.00855823 + 0.00311494i
\(566\) 106.037 + 18.8912i 0.187344 + 0.0333766i
\(567\) −55.6599 + 718.315i −0.0981656 + 1.26687i
\(568\) 701.023 + 409.725i 1.23419 + 0.721347i
\(569\) −285.161 + 103.790i −0.501161 + 0.182408i −0.580216 0.814463i \(-0.697032\pi\)
0.0790551 + 0.996870i \(0.474810\pi\)
\(570\) 473.829 + 10.0025i 0.831280 + 0.0175483i
\(571\) 186.268 + 221.985i 0.326213 + 0.388765i 0.904078 0.427367i \(-0.140559\pi\)
−0.577866 + 0.816132i \(0.696114\pi\)
\(572\) −488.572 87.9367i −0.854147 0.153735i
\(573\) 407.400 + 738.238i 0.710994 + 1.28837i
\(574\) 602.518 + 720.645i 1.04968 + 1.25548i
\(575\) −380.568 219.721i −0.661857 0.382124i
\(576\) −127.859 + 561.630i −0.221977 + 0.975052i
\(577\) 493.417 + 854.624i 0.855143 + 1.48115i 0.876512 + 0.481379i \(0.159864\pi\)
−0.0213695 + 0.999772i \(0.506803\pi\)
\(578\) 46.6774 + 17.0830i 0.0807568 + 0.0295554i
\(579\) 344.555 394.864i 0.595087 0.681975i
\(580\) −274.882 232.320i −0.473934 0.400552i
\(581\) 400.437 + 145.747i 0.689220 + 0.250856i
\(582\) −880.103 + 136.100i −1.51220 + 0.233849i
\(583\) 22.0609 + 3.88993i 0.0378403 + 0.00667227i
\(584\) 256.036 + 1.36247i 0.438418 + 0.00233299i
\(585\) 96.9188 + 708.942i 0.165673 + 1.21187i
\(586\) −376.482 317.045i −0.642460 0.541033i
\(587\) −183.011 + 218.104i −0.311773 + 0.371557i −0.899062 0.437820i \(-0.855751\pi\)
0.587289 + 0.809377i \(0.300195\pi\)
\(588\) 225.898 + 282.077i 0.384180 + 0.479723i
\(589\) −87.7398 497.597i −0.148964 0.844817i
\(590\) −172.660 + 99.2775i −0.292645 + 0.168267i
\(591\) 162.141 420.030i 0.274350 0.710711i
\(592\) 236.507 + 87.9868i 0.399505 + 0.148626i
\(593\) −669.113 −1.12835 −0.564176 0.825654i \(-0.690806\pi\)
−0.564176 + 0.825654i \(0.690806\pi\)
\(594\) 132.039 + 263.960i 0.222287 + 0.444377i
\(595\) 506.161i 0.850690i
\(596\) 853.509 + 3.02788i 1.43206 + 0.00508033i
\(597\) 389.028 313.820i 0.651638 0.525661i
\(598\) 1357.91 780.782i 2.27075 1.30565i
\(599\) 363.236 64.0483i 0.606404 0.106925i 0.137989 0.990434i \(-0.455936\pi\)
0.468415 + 0.883508i \(0.344825\pi\)
\(600\) −260.958 159.368i −0.434931 0.265614i
\(601\) −489.063 410.373i −0.813750 0.682817i 0.137750 0.990467i \(-0.456013\pi\)
−0.951500 + 0.307650i \(0.900457\pi\)
\(602\) −132.892 111.912i −0.220751 0.185901i
\(603\) −31.4624 + 813.289i −0.0521764 + 1.34874i
\(604\) −282.733 + 48.8199i −0.468101 + 0.0808276i
\(605\) 55.4056 314.221i 0.0915795 0.519373i
\(606\) −22.1380 + 57.0476i −0.0365314 + 0.0941380i
\(607\) −38.7649 + 106.506i −0.0638631 + 0.175463i −0.967520 0.252795i \(-0.918650\pi\)
0.903657 + 0.428258i \(0.140872\pi\)
\(608\) −240.881 680.536i −0.396186 1.11930i
\(609\) −132.106 + 672.873i −0.216923 + 1.10488i
\(610\) 267.285 + 97.8212i 0.438173 + 0.160363i
\(611\) 458.595 264.770i 0.750565 0.433339i
\(612\) 540.874 + 223.138i 0.883781 + 0.364605i
\(613\) 132.437 229.387i 0.216047 0.374204i −0.737549 0.675294i \(-0.764017\pi\)
0.953596 + 0.301089i \(0.0973502\pi\)
\(614\) 351.981 + 420.989i 0.573259 + 0.685649i
\(615\) 10.7224 554.546i 0.0174348 0.901700i
\(616\) 364.750 + 134.961i 0.592127 + 0.219092i
\(617\) 616.167 517.025i 0.998649 0.837966i 0.0118524 0.999930i \(-0.496227\pi\)
0.986797 + 0.161964i \(0.0517827\pi\)
\(618\) 41.6892 + 75.8617i 0.0674583 + 0.122754i
\(619\) −266.035 730.924i −0.429781 1.18081i −0.945946 0.324325i \(-0.894863\pi\)
0.516164 0.856490i \(1.67264\pi\)
\(620\) 108.330 294.382i 0.174727 0.474809i
\(621\) −855.174 368.705i −1.37709 0.593728i
\(622\) −28.2983 5.04152i −0.0454956 0.00810534i
\(623\) 274.198 + 753.352i 0.440125 + 1.20923i
\(624\) 957.971 519.828i 1.53521 0.833057i
\(625\) −110.436 + 92.6665i −0.176697 + 0.148266i
\(626\) 35.4306 + 0.0628460i 0.0565984 + 0.000100393i
\(627\) −316.713 191.111i −0.505124 0.304803i
\(628\) 520.623 + 909.179i 0.829018 + 1.44774i
\(629\) 128.164 221.986i 0.203758 0.352919i
\(630\) 22.6636 560.122i 0.0359740 0.889082i
\(631\) −56.8376 + 32.8152i −0.0900754 + 0.0520051i −0.544361 0.838851i \(-0.683228\pi\)
0.454286 + 0.890856i \(0.349895\pi\)
\(632\) −130.892 + 154.316i −0.207107 + 0.244170i
\(633\) 881.501 301.673i 1.39258 0.476576i
\(634\) −26.8619 + 46.3363i −0.0423690 + 0.0730856i
\(635\) −188.060 + 516.690i −0.296157 + 0.813684i
\(636\) −43.1452 + 23.6106i −0.0678384 + 0.0371236i
\(637\) 118.744 673.429i 0.186411 1.05719i
\(638\) 95.6074 + 264.136i 0.149855 + 0.414006i
\(639\) −613.782 + 676.541i −0.960535 + 1.05875i
\(640\) 83.2983 440.363i 0.130154 0.688068i
\(641\) 593.381 + 497.905i 0.925711 + 0.776764i 0.975042 0.222019i \(-0.0712647\pi\)
−0.0493316 + 0.998782i \(0.515709\pi\)
\(642\) 464.164 157.930i 0.722997 0.245997i
\(643\) 1077.13 189.927i 1.67516 0.295376i 0.746247 0.665670i \(-0.231854\pi\)
0.928915 + 0.370293i \(0.120743\pi\)
\(644\) −1154.64 + 415.621i −1.79292 + 0.645375i
\(645\) 15.8575 + 101.353i 0.0245853 + 0.157137i
\(646\) −722.391 + 126.056i −1.11825 + 0.195133i
\(647\) 1076.11i 1.66323i 0.555356 + 0.831613i \(0.312582\pi\)
−0.555356 + 0.831613i \(0.687418\pi\)
\(648\) −588.544 271.145i −0.908248 0.418433i
\(649\) 155.450 0.239522
\(650\) 99.4607 + 569.980i 0.153016 + 0.876892i
\(651\) −590.464 + 92.3829i −0.907011 + 0.141909i
\(652\) 409.286 + 1137.04i 0.627739 + 1.74392i
\(653\) −44.4135 251.881i −0.0680145 0.385729i −0.999745 0.0225791i \(-0.992812\pi\)
0.931731 0.363150i \(-0.118299\pi\)
\(654\) −373.717 1098.37i −0.571433 1.67947i
\(655\) 114.312 136.232i 0.174522 0.207987i
\(656\) −795.934 + 283.317i −1.21331 + 0.431886i
\(657\) −60.9467 + 281.523i −0.0927652 + 0.428498i
\(658\) −390.095 + 141.200i −0.592850 + 0.214589i
\(659\) 672.381 + 118.559i 1.02030 + 0.179907i 0.658685 0.752418i \(-0.271113\pi\)
0.361620 + 0.932326i \(0.382224\pi\)
\(660\) −110.242 201.452i −0.167033 0.305230i
\(661\) −296.947 108.080i −0.449239 0.163510i 0.107486 0.994207i \(-0.465720\pi\)
−0.556725 + 0.830697i \(0.687942\pi\)
\(662\) −462.454 268.093i −0.698571 0.404974i
\(663\) −358.478 1047.49i −0.540690 1.57992i
\(664\) −247.922 + 292.289i −0.373376 + 0.440194i
\(665\) 351.291 + 608.455i 0.528258 + 0.914969i
\(666\) −151.767 + 239.913i −0.227878 + 0.360230i
\(667\) −767.605 443.177i −1.15083 0.664433i
\(668\) 393.106 225.104i 0.588482 0.336982i
\(669\) 31.3355 51.9297i 0.0468393 0.0776228i
\(670\) 1.12329 633.274i 0.00167655 0.945185i
\(671\) −142.794 170.175i −0.212808 0.253615i
\(672\) −810.309 + 269.305i −1.20582 + 0.400751i
\(673\) −161.836 + 58.9034i −0.240469 + 0.0875236i −0.459444 0.888207i \(-0.651951\pi\)
0.218974 + 0.975731i \(0.429729\pi\)
\(674\) 16.9427 95.1003i 0.0251376 0.141098i
\(675\) 236.019 250.255i 0.349658 0.370749i
\(676\) −1301.08 478.787i −1.92467 0.708265i
\(677\) −723.236 + 263.236i −1.06829 + 0.388828i −0.815539 0.578702i \(-0.803559\pi\)
−0.252756 + 0.967530i \(0.581337\pi\)
\(678\) −7.72783 + 4.24677i −0.0113980 + 0.00626367i
\(679\) −848.616 1011.34i −1.24980 1.48946i
\(680\) −426.959 157.978i −0.627881 0.232321i
\(681\) 142.585 + 2.75695i 0.209376 + 0.00404839i
\(682\) −187.828 + 157.040i −0.275408 + 0.230263i
\(683\) 534.500 + 308.594i 0.782577 + 0.451821i 0.837343 0.546678i \(-0.184108\pi\)
−0.0547656 + 0.998499i \(0.517441\pi\)
\(684\) 805.048 107.149i 1.17697 0.156651i
\(685\) 155.843 + 269.928i 0.227508 + 0.394056i
\(686\) 115.461 315.483i 0.168310 0.459888i
\(687\) 207.786 + 40.7950i 0.302454 + 0.0593813i
\(688\) 135.878 77.1688i 0.197497 0.112164i
\(689\) 87.4528 + 31.8302i 0.126927 + 0.0461977i
\(690\) 675.520 + 262.144i 0.979015 + 0.379918i
\(691\) 1107.65 + 195.308i 1.60296 + 0.282645i 0.902384 0.430933i \(-0.141815\pi\)
0.700576 + 0.713578i \(0.252926\pi\)
\(692\) −186.852 1082.12i −0.270017 1.56376i
\(693\) −233.250 + 370.174i −0.336580 + 0.534162i
\(694\) −265.441 + 315.203i −0.382479 + 0.454183i
\(695\) 155.469 185.281i 0.223696 0.266591i
\(696\) −526.353 321.446i −0.756254 0.461848i
\(697\) 149.024 + 845.156i 0.213807 + 1.21256i
\(698\) −164.029 285.273i −0.234998 0.408701i
\(699\) −721.868 894.867i −1.03271 1.28021i
\(700\) 1.60808 453.290i 0.00229725 0.647557i
\(701\) 368.048 0.525032 0.262516 0.964928i \(-0.415448\pi\)
0.262516 + 0.964928i \(0.415448\pi\)
\(702\) 349.793 + 1175.21i 0.498280 + 1.67409i
\(703\) 355.799i 0.506115i
\(704\) −227.685 + 265.553i −0.323416 + 0.377206i
\(705\) 228.528 + 88.2168i 0.324153 + 0.125130i
\(706\) 475.993 + 827.831i 0.674211 + 1.17257i
\(707\) −89.3364 + 15.7524i −0.126360 + 0.0222806i
\(708\) −266.400 + 213.343i −0.376272 + 0.301332i
\(709\) −565.166 474.230i −0.797131 0.668872i 0.150369 0.988630i \(-0.451954\pi\)
−0.947499 + 0.319758i \(0.896398\pi\)
\(710\) 457.829 543.658i 0.644829 0.765715i
\(711\) −139.477 179.912i −0.196170 0.253041i
\(712\) −721.051 3.83698i −1.01271 0.00538902i
\(713\) 134.146 760.778i 0.188143 1.06701i
\(714\) 132.556 + 857.181i 0.185652 + 1.20053i
\(715\) −148.620 + 408.331i −0.207861 + 0.571092i
\(716\) 126.870 150.113i 0.177193 0.209656i
\(717\) 776.159 + 677.270i 1.08251 + 0.944589i
\(718\) 286.775 783.579i 0.399407 1.09134i
\(719\) −1138.67 + 657.410i −1.58368 + 0.914340i −0.589367 + 0.807865i \(0.700623\pi\)
−0.994315 + 0.106475i \(0.966044\pi\)
\(720\) 465.403 + 193.937i 0.646393 + 0.269358i
\(721\) −64.1618 + 111.131i −0.0889900 + 0.154135i
\(722\) −226.991 + 189.783i −0.314392 + 0.262857i
\(723\) −634.075 + 349.917i −0.877005 + 0.483979i
\(724\) 101.867 565.970i 0.140701 0.781726i
\(725\) 250.806 210.451i 0.345939 0.290277i
\(726\) 11.5396 546.642i 0.0158947 0.752950i
\(727\) 64.9919 + 178.564i 0.0893974 + 0.245617i 0.976332 0.216278i \(-0.0693918\pi\)
−0.886934 + 0.461895i \(0.847170\pi\)
\(728\) 1394.96 + 815.309i 1.91616 + 1.11993i
\(729\) 435.120 584.903i 0.596872 0.802336i
\(730\) 39.3097 220.647i 0.0538489 0.302256i
\(731\) −54.2885 149.156i −0.0742661 0.204044i
\(732\) 478.265 + 95.6619i 0.653367 + 0.130686i
\(733\) 42.1532 35.3708i 0.0575078 0.0482548i −0.613581 0.789632i \(-0.710271\pi\)
0.671089 + 0.741377i \(0.265827\pi\)
\(734\) −0.168746 + 95.1334i −0.000229899 + 0.129610i
\(735\) 276.958 152.840i 0.376813 0.207946i
\(736\) 9.78871 1103.69i 0.0132999 1.49957i
\(737\) −247.135 + 428.051i −0.335326 + 0.580802i
\(738\) −127.069 941.929i −0.172180 1.27633i
\(739\) 190.459 109.961i 0.257725 0.148798i −0.365571 0.930783i \(-0.619126\pi\)
0.623296 + 0.781986i \(0.285793\pi\)
\(740\) 111.121 190.899i 0.150163 0.257972i
\(741\) −1157.91 1010.39i −1.56264 1.36355i
\(742\) −63.0782 36.5675i −0.0850110 0.0492824i
\(743\) 324.288 890.974i 0.436458 1.19916i −0.505323 0.862930i \(-0.668627\pi\)
0.941781 0.336228i \(-0.109151\pi\)
\(744\) 106.363 526.905i 0.142961 0.708206i
\(745\) 129.735 735.762i 0.174140 0.987600i
\(746\) 34.0517 12.3254i 0.0456457 0.0165220i
\(747\) −264.183 340.772i −0.353659 0.456187i
\(748\) 227.429 + 273.000i 0.304049 + 0.364973i
\(749\) 556.790 + 467.202i 0.743378 + 0.623768i
\(750\) −522.344 + 596.472i −0.696458 + 0.795296i
\(751\) 462.740 81.5936i 0.616166 0.108647i 0.143150 0.989701i \(-0.454277\pi\)
0.473015 + 0.881054i \(0.343166\pi\)
\(752\) 2.64740 373.125i 0.00352048 0.496176i
\(753\) −118.102 45.5901i −0.156842 0.0605446i
\(754\) 200.612 + 1149.65i 0.266064 + 1.52473i
\(755\) 251.149i 0.332647i
\(756\) −108.307 954.500i −0.143263 1.26257i
\(757\) 503.693