Properties

Label 108.3.j.a.7.13
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 7.13
Character \(\chi\) \(=\) 108.7
Dual form 108.3.j.a.31.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.00307 - 1.73027i) q^{2} +(-2.96394 + 0.463733i) q^{3} +(-1.98770 + 3.47117i) q^{4} +(0.608002 + 3.44815i) q^{5} +(3.77543 + 4.66328i) q^{6} +(5.71739 - 6.81372i) q^{7} +(7.99989 - 0.0425704i) q^{8} +(8.56990 - 2.74895i) q^{9} +O(q^{10})\) \(q+(-1.00307 - 1.73027i) q^{2} +(-2.96394 + 0.463733i) q^{3} +(-1.98770 + 3.47117i) q^{4} +(0.608002 + 3.44815i) q^{5} +(3.77543 + 4.66328i) q^{6} +(5.71739 - 6.81372i) q^{7} +(7.99989 - 0.0425704i) q^{8} +(8.56990 - 2.74895i) q^{9} +(5.35638 - 4.51075i) q^{10} +(-5.38256 - 0.949091i) q^{11} +(4.28173 - 11.2101i) q^{12} +(21.3373 + 7.76615i) q^{13} +(-17.5245 - 3.05801i) q^{14} +(-3.40111 - 9.93818i) q^{15} +(-8.09811 - 13.7993i) q^{16} +(-8.12631 - 14.0752i) q^{17} +(-13.3527 - 12.0709i) q^{18} +(19.5372 + 11.2798i) q^{19} +(-13.1777 - 4.74341i) q^{20} +(-13.7863 + 22.8468i) q^{21} +(3.75690 + 10.2653i) q^{22} +(22.1707 + 26.4221i) q^{23} +(-23.6915 + 3.83599i) 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} +(-13.7842 + 15.8535i) q^{30} +(-14.3967 - 17.1573i) q^{31} +(-15.7536 + 27.8536i) q^{32} +(16.3937 + 0.316980i) q^{33} +(-16.2027 + 28.1791i) q^{34} +(26.9709 + 15.5717i) q^{35} +(-7.49228 + 35.2117i) q^{36} +(7.88574 + 13.6585i) q^{37} +(-0.0800315 - 45.1192i) q^{38} +(-66.8440 - 13.1236i) q^{39} +(5.01074 + 27.5590i) q^{40} +(-49.6190 - 18.0598i) q^{41} +(53.3598 + 0.937056i) q^{42} +(-9.61800 - 1.69591i) q^{43} +(13.9934 - 16.7973i) q^{44} +(14.6893 + 27.8790i) q^{45} +(23.4786 - 64.8646i) q^{46} +(-14.9904 + 17.8648i) q^{47} +(30.4015 + 37.1450i) q^{48} +(-5.22945 - 29.6577i) q^{49} +(-19.5487 - 16.3443i) q^{50} +(30.6130 + 37.9496i) q^{51} +(-69.3698 + 58.6288i) q^{52} +4.09859 q^{53} +(45.1742 + 29.5853i) q^{54} -19.1370i q^{55} +(45.4484 - 54.7523i) q^{56} +(-63.1380 - 24.3727i) q^{57} +(-39.4297 - 32.9665i) q^{58} +(-28.0094 + 4.93882i) q^{59} +(41.2575 + 7.94826i) q^{60} +(-31.1357 - 26.1260i) q^{61} +(-15.2459 + 42.1201i) q^{62} +(30.2669 - 74.1097i) q^{63} +(63.9964 - 0.681117i) q^{64} +(-13.8057 + 78.2962i) q^{65} +(-15.8956 - 28.6836i) q^{66} +(30.9299 - 84.9793i) q^{67} +(65.0100 - 0.230627i) q^{68} +(-77.9656 - 68.0321i) q^{69} +(-0.110483 - 62.2866i) q^{70} +(87.8991 - 50.7486i) q^{71} +(68.4412 - 22.3561i) q^{72} +(-16.0025 + 27.7171i) q^{73} +(15.7230 - 27.3449i) q^{74} +(-33.4642 + 18.4674i) q^{75} +(-77.9884 + 45.3963i) q^{76} +(-37.2410 + 31.2489i) q^{77} +(44.3418 + 128.822i) 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} +(-51.9023 - 93.2671i) q^{84} +(43.5925 - 36.5785i) q^{85} +(6.71314 + 18.3429i) q^{86} +(-67.4973 + 37.2487i) q^{87} +(-43.1003 - 7.36348i) q^{88} +(45.0663 - 78.0571i) q^{89} +(33.5038 - 53.3812i) q^{90} +(174.910 - 100.984i) q^{91} +(-135.784 + 24.4394i) q^{92} +(50.6272 + 44.1769i) q^{93} +(45.9475 + 8.01777i) q^{94} +(-27.0159 + 74.2255i) q^{95} +(33.7761 - 89.8620i) q^{96} +(-25.7741 + 146.172i) q^{97} +(-46.0705 + 38.7972i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.00307 1.73027i −0.501535 0.865137i
\(3\) −2.96394 + 0.463733i −0.987981 + 0.154578i
\(4\) −1.98770 + 3.47117i −0.496925 + 0.867794i
\(5\) 0.608002 + 3.44815i 0.121600 + 0.689631i 0.983269 + 0.182159i \(0.0583086\pi\)
−0.861669 + 0.507471i \(0.830580\pi\)
\(6\) 3.77543 + 4.66328i 0.629238 + 0.777213i
\(7\) 5.71739 6.81372i 0.816769 0.973388i −0.183184 0.983079i \(-0.558640\pi\)
0.999953 + 0.00969079i \(0.00308472\pi\)
\(8\) 7.99989 0.0425704i 0.999986 0.00532130i
\(9\) 8.56990 2.74895i 0.952212 0.305439i
\(10\) 5.35638 4.51075i 0.535638 0.451075i
\(11\) −5.38256 0.949091i −0.489324 0.0862810i −0.0764579 0.997073i \(-0.524361\pi\)
−0.412866 + 0.910792i \(0.635472\pi\)
\(12\) 4.28173 11.2101i 0.356810 0.934177i
\(13\) 21.3373 + 7.76615i 1.64133 + 0.597396i 0.987271 0.159046i \(-0.0508418\pi\)
0.654061 + 0.756442i \(0.273064\pi\)
\(14\) −17.5245 3.05801i −1.25175 0.218429i
\(15\) −3.40111 9.93818i −0.226740 0.662545i
\(16\) −8.09811 13.7993i −0.506132 0.862456i
\(17\) −8.12631 14.0752i −0.478018 0.827951i 0.521664 0.853151i \(-0.325311\pi\)
−0.999682 + 0.0251993i \(0.991978\pi\)
\(18\) −13.3527 12.0709i −0.741815 0.670605i
\(19\) 19.5372 + 11.2798i 1.02828 + 0.593675i 0.916490 0.400057i \(-0.131010\pi\)
0.111785 + 0.993732i \(0.464343\pi\)
\(20\) −13.1777 4.74341i −0.658883 0.237170i
\(21\) −13.7863 + 22.8468i −0.656488 + 1.08794i
\(22\) 3.75690 + 10.2653i 0.170768 + 0.466605i
\(23\) 22.1707 + 26.4221i 0.963945 + 1.14879i 0.988823 + 0.149095i \(0.0476359\pi\)
−0.0248778 + 0.999690i \(0.507920\pi\)
\(24\) −23.6915 + 3.83599i −0.987144 + 0.159833i
\(25\) 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 \(0.242780\pi\)
\(30\) −13.7842 + 15.8535i −0.459474 + 0.528451i
\(31\) −14.3967 17.1573i −0.464408 0.553460i 0.482110 0.876111i \(-0.339871\pi\)
−0.946518 + 0.322651i \(0.895426\pi\)
\(32\) −15.7536 + 27.8536i −0.492300 + 0.870426i
\(33\) 16.3937 + 0.316980i 0.496780 + 0.00960546i
\(34\) −16.2027 + 28.1791i −0.476549 + 0.828798i
\(35\) 26.9709 + 15.5717i 0.770598 + 0.444905i
\(36\) −7.49228 + 35.2117i −0.208119 + 0.978104i
\(37\) 7.88574 + 13.6585i 0.213128 + 0.369149i 0.952692 0.303938i \(-0.0983015\pi\)
−0.739564 + 0.673086i \(0.764968\pi\)
\(38\) −0.0800315 45.1192i −0.00210609 1.18735i
\(39\) −66.8440 13.1236i −1.71395 0.336503i
\(40\) 5.01074 + 27.5590i 0.125268 + 0.688974i
\(41\) −49.6190 18.0598i −1.21022 0.440484i −0.343439 0.939175i \(-0.611592\pi\)
−0.866780 + 0.498691i \(0.833814\pi\)
\(42\) 53.3598 + 0.937056i 1.27047 + 0.0223109i
\(43\) −9.61800 1.69591i −0.223674 0.0394398i 0.0606877 0.998157i \(-0.480671\pi\)
−0.284362 + 0.958717i \(0.591782\pi\)
\(44\) 13.9934 16.7973i 0.318031 0.381757i
\(45\) 14.6893 + 27.8790i 0.326430 + 0.619533i
\(46\) 23.4786 64.8646i 0.510404 1.41010i
\(47\) −14.9904 + 17.8648i −0.318944 + 0.380103i −0.901567 0.432640i \(-0.857582\pi\)
0.582623 + 0.812743i \(0.302027\pi\)
\(48\) 30.4015 + 37.1450i 0.633365 + 0.773853i
\(49\) −5.22945 29.6577i −0.106724 0.605259i
\(50\) −19.5487 16.3443i −0.390974 0.326886i
\(51\) 30.6130 + 37.9496i 0.600255 + 0.744109i
\(52\) −69.3698 + 58.6288i −1.33403 + 1.12748i
\(53\) 4.09859 0.0773318 0.0386659 0.999252i \(-0.487689\pi\)
0.0386659 + 0.999252i \(0.487689\pi\)
\(54\) 45.1742 + 29.5853i 0.836559 + 0.547877i
\(55\) 19.1370i 0.347945i
\(56\) 45.4484 54.7523i 0.811578 0.977720i
\(57\) −63.1380 24.3727i −1.10769 0.427591i
\(58\) −39.4297 32.9665i −0.679823 0.568387i
\(59\) −28.0094 + 4.93882i −0.474736 + 0.0837088i −0.405897 0.913919i \(-0.633041\pi\)
−0.0688395 + 0.997628i \(0.521930\pi\)
\(60\) 41.2575 + 7.94826i 0.687625 + 0.132471i
\(61\) −31.1357 26.1260i −0.510422 0.428295i 0.350856 0.936430i \(-0.385891\pi\)
−0.861278 + 0.508135i \(0.830335\pi\)
\(62\) −15.2459 + 42.1201i −0.245902 + 0.679357i
\(63\) 30.2669 74.1097i 0.480426 1.17634i
\(64\) 63.9964 0.681117i 0.999943 0.0106425i
\(65\) −13.8057 + 78.2962i −0.212396 + 1.20456i
\(66\) −15.8956 28.6836i −0.240843 0.434600i
\(67\) 30.9299 84.9793i 0.461641 1.26835i −0.462610 0.886562i \(-0.653087\pi\)
0.924251 0.381785i \(-0.124691\pi\)
\(68\) 65.0100 0.230627i 0.956030 0.00339158i
\(69\) −77.9656 68.0321i −1.12994 0.985973i
\(70\) −0.110483 62.2866i −0.00157832 0.889808i
\(71\) 87.8991 50.7486i 1.23802 0.714769i 0.269328 0.963049i \(-0.413199\pi\)
0.968688 + 0.248280i \(0.0798652\pi\)
\(72\) 68.4412 22.3561i 0.950573 0.310502i
\(73\) −16.0025 + 27.7171i −0.219212 + 0.379687i −0.954567 0.297995i \(-0.903682\pi\)
0.735355 + 0.677682i \(0.237015\pi\)
\(74\) 15.7230 27.3449i 0.212473 0.369526i
\(75\) −33.4642 + 18.4674i −0.446190 + 0.246232i
\(76\) −77.9884 + 45.3963i −1.02616 + 0.597319i
\(77\) −37.2410 + 31.2489i −0.483650 + 0.405830i
\(78\) 44.3418 + 128.822i 0.568485 + 1.65157i
\(79\) 8.65102 + 23.7685i 0.109507 + 0.300867i 0.982326 0.187176i \(-0.0599334\pi\)
−0.872820 + 0.488042i \(0.837711\pi\)
\(80\) 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 0.998416 0.0562623i \(-0.0179183\pi\)
−0.800996 + 0.598670i \(0.795696\pi\)
\(84\) −51.9023 93.2671i −0.617885 1.11032i
\(85\) 43.5925 36.5785i 0.512853 0.430335i
\(86\) 6.71314 + 18.3429i 0.0780597 + 0.213289i
\(87\) −67.4973 + 37.2487i −0.775832 + 0.428146i
\(88\) −43.1003 7.36348i −0.489776 0.0836759i
\(89\) 45.0663 78.0571i 0.506363 0.877047i −0.493610 0.869683i \(-0.664323\pi\)
0.999973 0.00736306i \(-0.00234375\pi\)
\(90\) 33.5038 53.3812i 0.372265 0.593124i
\(91\) 174.910 100.984i 1.92209 1.10972i
\(92\) −135.784 + 24.4394i −1.47592 + 0.265646i
\(93\) 50.6272 + 44.1769i 0.544379 + 0.475021i
\(94\) 45.9475 + 8.01777i 0.488803 + 0.0852954i
\(95\) −27.0159 + 74.2255i −0.284378 + 0.781321i
\(96\) 33.7761 89.8620i 0.351834 0.936062i
\(97\) −25.7741 + 146.172i −0.265713 + 1.50693i 0.501285 + 0.865282i \(0.332861\pi\)
−0.766998 + 0.641650i \(0.778250\pi\)
\(98\) −46.0705 + 38.7972i −0.470107 + 0.395889i
\(99\) −48.7371 + 6.66280i −0.492293 + 0.0673010i
\(100\) −8.67141 + 50.2191i −0.0867141 + 0.502191i
\(101\) 7.81270 + 6.55563i 0.0773534 + 0.0649072i 0.680645 0.732614i \(-0.261700\pi\)
−0.603291 + 0.797521i \(0.706144\pi\)
\(102\) 34.9561 91.0350i 0.342707 0.892500i
\(103\) −14.2078 + 2.50522i −0.137940 + 0.0243226i −0.242192 0.970228i \(-0.577866\pi\)
0.104252 + 0.994551i \(0.466755\pi\)
\(104\) 171.027 + 61.2200i 1.64449 + 0.588653i
\(105\) −87.1613 33.6462i −0.830108 0.320440i
\(106\) −4.11117 7.09168i −0.0387846 0.0669026i
\(107\) 81.7160i 0.763701i 0.924224 + 0.381851i \(0.124713\pi\)
−0.924224 + 0.381851i \(0.875287\pi\)
\(108\) 5.87787 107.840i 0.0544247 0.998518i
\(109\) −193.369 −1.77402 −0.887012 0.461747i \(-0.847223\pi\)
−0.887012 + 0.461747i \(0.847223\pi\)
\(110\) −33.1122 + 19.1957i −0.301020 + 0.174506i
\(111\) −29.7068 36.8261i −0.267628 0.331767i
\(112\) −140.325 23.7177i −1.25290 0.211765i
\(113\) 0.255201 + 1.44731i 0.00225841 + 0.0128081i 0.985916 0.167240i \(-0.0534856\pi\)
−0.983658 + 0.180049i \(0.942375\pi\)
\(114\) 21.1605 + 133.694i 0.185618 + 1.17275i
\(115\) −77.6274 + 92.5128i −0.675021 + 0.804459i
\(116\) −17.4902 + 101.292i −0.150778 + 0.873206i
\(117\) 204.208 + 7.89985i 1.74536 + 0.0675201i
\(118\) 36.6410 + 43.5100i 0.310517 + 0.368729i
\(119\) −142.365 25.1029i −1.19635 0.210949i
\(120\) −27.6315 79.3595i −0.230263 0.661329i
\(121\) −85.6316 31.1674i −0.707699 0.257581i
\(122\) −13.9738 + 80.0796i −0.114539 + 0.656390i
\(123\) 155.443 + 30.5184i 1.26376 + 0.248117i
\(124\) 88.1721 15.8698i 0.711065 0.127983i
\(125\) 66.0714 + 114.439i 0.528571 + 0.915512i
\(126\) −158.590 + 21.9673i −1.25865 + 0.174344i
\(127\) −136.000 78.5197i −1.07087 0.618266i −0.142449 0.989802i \(-0.545498\pi\)
−0.928418 + 0.371537i \(0.878831\pi\)
\(128\) −65.3714 110.048i −0.510714 0.859751i
\(129\) 29.2936 + 0.566406i 0.227082 + 0.00439074i
\(130\) 149.322 54.6489i 1.14863 0.420376i
\(131\) 32.6480 + 38.9084i 0.249222 + 0.297011i 0.876123 0.482088i \(-0.160121\pi\)
−0.626901 + 0.779099i \(0.715677\pi\)
\(132\) −33.6861 + 56.2754i −0.255198 + 0.426329i
\(133\) 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 \(0.283563\pi\)
\(138\) −39.5093 + 203.143i −0.286299 + 1.47205i
\(139\) 44.4026 + 52.9170i 0.319443 + 0.380698i 0.901740 0.432279i \(-0.142290\pi\)
−0.582297 + 0.812976i \(0.697846\pi\)
\(140\) −107.662 + 62.6690i −0.769015 + 0.447636i
\(141\) 36.1461 59.9018i 0.256355 0.424836i
\(142\) −175.978 101.185i −1.23928 0.712572i
\(143\) −107.479 62.0528i −0.751599 0.433936i
\(144\) −107.334 95.9973i −0.745373 0.666648i
\(145\) 44.9883 + 77.9220i 0.310264 + 0.537393i
\(146\) 64.0099 0.113539i 0.438424 0.000777666i
\(147\) 29.2530 + 85.4786i 0.199000 + 0.581487i
\(148\) −63.0855 + 0.223800i −0.426253 + 0.00151216i
\(149\) −200.510 72.9797i −1.34571 0.489797i −0.434101 0.900864i \(-0.642934\pi\)
−0.911605 + 0.411067i \(0.865156\pi\)
\(150\) 65.5206 + 39.3782i 0.436804 + 0.262521i
\(151\) −70.6394 12.4556i −0.467811 0.0824877i −0.0652263 0.997870i \(-0.520777\pi\)
−0.402585 + 0.915383i \(0.631888\pi\)
\(152\) 156.776 + 89.4056i 1.03142 + 0.588195i
\(153\) −108.334 98.2841i −0.708063 0.642379i
\(154\) 91.4246 + 33.0923i 0.593666 + 0.214885i
\(155\) 50.4077 60.0735i 0.325211 0.387571i
\(156\) 178.420 205.941i 1.14372 1.32014i
\(157\) −45.4824 257.943i −0.289697 1.64295i −0.688009 0.725702i \(-0.741515\pi\)
0.398312 0.917250i \(-0.369596\pi\)
\(158\) 32.4484 38.8101i 0.205370 0.245634i
\(159\) −12.1480 + 1.90065i −0.0764023 + 0.0119538i
\(160\) −105.622 37.3857i −0.660136 0.233661i
\(161\) 306.791 1.90553
\(162\) −147.613 66.7405i −0.911194 0.411978i
\(163\) 302.114i 1.85346i 0.375725 + 0.926731i \(0.377394\pi\)
−0.375725 + 0.926731i \(0.622606\pi\)
\(164\) 161.316 136.339i 0.983637 0.831333i
\(165\) 8.87443 + 56.7208i 0.0537844 + 0.343762i
\(166\) 61.4605 73.5102i 0.370244 0.442832i
\(167\) 111.528 19.6654i 0.667833 0.117757i 0.170555 0.985348i \(-0.445444\pi\)
0.497278 + 0.867591i \(0.334333\pi\)
\(168\) −109.316 + 183.359i −0.650690 + 1.09142i
\(169\) 265.506 + 222.786i 1.57104 + 1.31826i
\(170\) −107.017 38.7362i −0.629513 0.227860i
\(171\) 198.440 + 42.9601i 1.16047 + 0.251229i
\(172\) 25.0045 30.0148i 0.145375 0.174505i
\(173\) −47.6724 + 270.364i −0.275563 + 1.56280i 0.461605 + 0.887086i \(0.347274\pi\)
−0.737168 + 0.675710i \(0.763837\pi\)
\(174\) 132.155 + 79.4258i 0.759512 + 0.456470i
\(175\) 38.7588 106.489i 0.221479 0.608509i
\(176\) 30.4918 + 81.9614i 0.173249 + 0.465690i
\(177\) 80.7280 27.6273i 0.456091 0.156086i
\(178\) −180.265 + 0.319750i −1.01272 + 0.00179635i
\(179\) 42.5533 24.5682i 0.237728 0.137252i −0.376404 0.926456i \(-0.622840\pi\)
0.614132 + 0.789203i \(0.289506\pi\)
\(180\) −125.971 4.42573i −0.699838 0.0245874i
\(181\) −71.8830 + 124.505i −0.397144 + 0.687873i −0.993372 0.114942i \(-0.963332\pi\)
0.596229 + 0.802815i \(0.296665\pi\)
\(182\) −350.178 201.348i −1.92405 1.10631i
\(183\) 104.400 + 62.9973i 0.570492 + 0.344247i
\(184\) 178.488 + 210.430i 0.970044 + 1.14364i
\(185\) −42.3020 + 35.4956i −0.228660 + 0.191868i
\(186\) 25.6555 131.912i 0.137933 0.709202i
\(187\) 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 \(-0.847933\pi\)
0.384744 0.923023i \(1.62571\pi\)
\(192\) −189.366 + 31.6960i −0.986280 + 0.165083i
\(193\) 133.817 112.286i 0.693352 0.581791i −0.226522 0.974006i \(-0.572735\pi\)
0.919874 + 0.392215i \(0.128291\pi\)
\(194\) 278.772 102.025i 1.43697 0.525902i
\(195\) 4.61088 238.467i 0.0236455 1.22291i
\(196\) 113.342 + 40.7982i 0.578274 + 0.208154i
\(197\) 75.0398 129.973i 0.380913 0.659761i −0.610280 0.792186i \(-0.708943\pi\)
0.991193 + 0.132425i \(0.0422764\pi\)
\(198\) 60.4152 + 77.6452i 0.305127 + 0.392148i
\(199\) −144.287 + 83.3043i −0.725062 + 0.418615i −0.816613 0.577186i \(-0.804151\pi\)
0.0915512 + 0.995800i \(0.470817\pi\)
\(200\) 95.5909 35.3694i 0.477955 0.176847i
\(201\) −52.2668 + 266.217i −0.260034 + 1.32446i
\(202\) 3.50635 20.0939i 0.0173582 0.0994746i
\(203\) 78.1765 214.788i 0.385106 1.05807i
\(204\) −192.579 + 30.8308i −0.944015 + 0.151132i
\(205\) 32.1046 182.074i 0.156608 0.888167i
\(206\) 18.5862 + 22.0705i 0.0902242 + 0.107138i
\(207\) 262.634 + 165.488i 1.26876 + 0.799460i
\(208\) −65.6246 357.331i −0.315503 1.71794i
\(209\) −94.4548 79.2570i −0.451937 0.379220i
\(210\) 29.2118 + 184.563i 0.139104 + 0.878869i
\(211\) −305.846 + 53.9289i −1.44951 + 0.255587i −0.842323 0.538974i \(-0.818812\pi\)
−0.607184 + 0.794561i \(0.707701\pi\)
\(212\) −8.14675 + 14.2269i −0.0384281 + 0.0671081i
\(213\) −236.994 + 191.178i −1.11265 + 0.897547i
\(214\) 141.391 81.9670i 0.660706 0.383023i
\(215\) 34.1954i 0.159049i
\(216\) −192.489 + 98.0008i −0.891151 + 0.453707i
\(217\) −199.216 −0.918046
\(218\) 193.962 + 334.581i 0.889736 + 1.53477i
\(219\) 34.5771 89.5729i 0.157886 0.409008i
\(220\) 66.4277 + 38.0385i 0.301944 + 0.172902i
\(221\) −64.0837 363.437i −0.289971 1.64451i
\(222\) −33.9213 + 88.3400i −0.152799 + 0.397928i
\(223\) −12.9953 + 15.4873i −0.0582751 + 0.0694496i −0.794395 0.607402i \(-0.792212\pi\)
0.736119 + 0.676852i \(0.236656\pi\)
\(224\) 99.7173 + 266.590i 0.445166 + 1.19014i
\(225\) 90.6221 70.2547i 0.402765 0.312243i
\(226\) 2.24827 1.89333i 0.00994808 0.00837754i
\(227\) −46.8151 8.25477i −0.206234 0.0363646i 0.0695767 0.997577i \(-0.477835\pi\)
−0.275811 + 0.961212i \(0.588946\pi\)
\(228\) 210.101 170.718i 0.921497 0.748762i
\(229\) 66.3275 + 24.1412i 0.289640 + 0.105420i 0.482754 0.875756i \(-0.339637\pi\)
−0.193114 + 0.981176i \(0.561859\pi\)
\(230\) 237.938 + 41.5199i 1.03451 + 0.180521i
\(231\) 95.8891 109.890i 0.415104 0.475714i
\(232\) 192.807 71.3401i 0.831064 0.307500i
\(233\) −191.622 331.898i −0.822411 1.42446i −0.903882 0.427781i \(-0.859295\pi\)
0.0814716 0.996676i \(-0.474038\pi\)
\(234\) −191.166 361.259i −0.816947 1.54384i
\(235\) −70.7149 40.8272i −0.300914 0.173733i
\(236\) 38.5308 107.043i 0.163266 0.453570i
\(237\) −36.6633 66.4366i −0.154698 0.280323i
\(238\) 99.3678 + 271.511i 0.417512 + 1.14080i
\(239\) −220.713 263.036i −0.923486 1.10057i −0.994671 0.103104i \(-0.967122\pi\)
0.0711850 0.997463i \(1.52268\pi\)
\(240\) −109.597 + 127.413i −0.456655 + 0.530889i
\(241\) −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
\(246\) −103.115 299.571i −0.419166 1.21777i
\(247\) 329.271 + 392.410i 1.33308 + 1.58871i
\(248\) −115.902 136.643i −0.467347 0.550981i
\(249\) −69.4440 125.838i −0.278892 0.505372i
\(250\) 131.737 229.112i 0.526947 0.916448i
\(251\) 36.5452 + 21.0994i 0.145598 + 0.0840612i 0.571029 0.820930i \(-0.306544\pi\)
−0.425431 + 0.904991i \(0.639878\pi\)
\(252\) 197.086 + 252.369i 0.782089 + 1.00147i
\(253\) −94.2584 163.260i −0.372563 0.645298i
\(254\) 0.557105 + 314.078i 0.00219333 + 1.23653i
\(255\) −112.243 + 128.632i −0.440169 + 0.504438i
\(256\) −124.841 + 223.496i −0.487661 + 0.873033i
\(257\) 201.446 + 73.3205i 0.783838 + 0.285294i 0.702772 0.711415i \(-0.251945\pi\)
0.0810661 + 0.996709i \(0.474168\pi\)
\(258\) −28.4035 51.2542i −0.110091 0.198660i
\(259\) 138.151 + 24.3597i 0.533401 + 0.0940530i
\(260\) −244.338 203.551i −0.939762 0.782889i
\(261\) 182.785 141.704i 0.700325 0.542926i
\(262\) 34.5739 95.5179i 0.131962 0.364572i
\(263\) 68.4293 81.5508i 0.260187 0.310079i −0.620098 0.784525i \(-0.712907\pi\)
0.880285 + 0.474446i \(0.157351\pi\)
\(264\) 131.161 + 1.83792i 0.496824 + 0.00696181i
\(265\) 2.49195 + 14.1326i 0.00940359 + 0.0533304i
\(266\) −307.887 257.419i −1.15747 0.967740i
\(267\) −97.3763 + 252.256i −0.364705 + 0.944777i
\(268\) 233.498 + 276.276i 0.871263 + 1.03088i
\(269\) −443.421 −1.64841 −0.824203 0.566294i \(-0.808377\pi\)
−0.824203 + 0.566294i \(0.808377\pi\)
\(270\) −74.5488 + 173.755i −0.276107 + 0.643539i
\(271\) 315.051i 1.16255i −0.813707 0.581275i \(-0.802554\pi\)
0.813707 0.581275i \(-0.197446\pi\)
\(272\) −128.420 + 226.120i −0.472132 + 0.831322i
\(273\) −471.593 + 380.423i −1.72745 + 1.39349i
\(274\) −136.588 114.199i −0.498496 0.416783i
\(275\) −68.5769 + 12.0920i −0.249371 + 0.0439708i
\(276\) 391.123 135.405i 1.41711 0.490597i
\(277\) 123.961 + 104.016i 0.447514 + 0.375509i 0.838512 0.544883i \(-0.183426\pi\)
−0.390999 + 0.920391i \(0.627870\pi\)
\(278\) 47.0219 129.908i 0.169144 0.467296i
\(279\) −170.542 107.460i −0.611263 0.385163i
\(280\) 216.427 + 123.423i 0.772954 + 0.440798i
\(281\) −72.5198 + 411.280i −0.258078 + 1.46363i 0.529970 + 0.848016i \(0.322203\pi\)
−0.788048 + 0.615614i \(0.788908\pi\)
\(282\) −139.904 2.45686i −0.496112 0.00871227i
\(283\) −18.4189 + 50.6056i −0.0650845 + 0.178818i −0.967972 0.251059i \(-0.919221\pi\)
0.902887 + 0.429878i \(0.141443\pi\)
\(284\) 1.44026 + 405.986i 0.00507135 + 1.42953i
\(285\) 45.6527 232.528i 0.160185 0.815889i
\(286\) 0.440271 + 248.211i 0.00153941 + 0.867870i
\(287\) −406.745 + 234.835i −1.41723 + 0.818239i
\(288\) −58.4385 + 282.009i −0.202911 + 0.979197i
\(289\) 12.4263 21.5230i 0.0429976 0.0744741i
\(290\) 89.7001 156.003i 0.309311 0.537943i
\(291\) 8.60812 445.199i 0.0295812 1.52989i
\(292\) −64.4029 110.641i −0.220558 0.378907i
\(293\) −188.522 + 158.189i −0.643419 + 0.539893i −0.905066 0.425271i \(-0.860179\pi\)
0.261647 + 0.965164i \(0.415734\pi\)
\(294\) 118.559 136.357i 0.403261 0.463799i
\(295\) −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
\(300\) 2.41330 152.868i 0.00804432 0.509559i
\(301\) −66.5453 + 55.8381i −0.221081 + 0.185509i
\(302\) 49.3047 + 134.719i 0.163261 + 0.446091i
\(303\) −26.1964 15.8075i −0.0864569 0.0521700i
\(304\) −2.56099 360.945i −0.00842430 1.18732i
\(305\) 71.1558 123.245i 0.233298 0.404084i
\(306\) −61.3921 + 286.033i −0.200628 + 0.934748i
\(307\) −237.614 + 137.186i −0.773987 + 0.446861i −0.834295 0.551318i \(-0.814125\pi\)
0.0603082 + 0.998180i \(0.480792\pi\)
\(308\) −34.4466 191.384i −0.111840 0.621375i
\(309\) 40.9494 14.0140i 0.132522 0.0453527i
\(310\) −154.506 26.9611i −0.498407 0.0869713i
\(311\) 4.91549 13.5052i 0.0158054 0.0434251i −0.931539 0.363641i \(-0.881533\pi\)
0.947344 + 0.320216i \(0.103756\pi\)
\(312\) −535.303 102.142i −1.71571 0.327377i
\(313\) 3.07623 17.4462i 0.00982822 0.0557386i −0.979499 0.201448i \(-0.935435\pi\)
0.989327 + 0.145709i \(0.0465464\pi\)
\(314\) −400.691 + 337.433i −1.27609 + 1.07463i
\(315\) 273.944 + 59.3059i 0.869663 + 0.188273i
\(316\) −99.7001 17.2154i −0.315507 0.0544790i
\(317\) 20.5145 + 17.2137i 0.0647144 + 0.0543018i 0.674571 0.738210i \(-0.264329\pi\)
−0.609857 + 0.792512i \(0.708773\pi\)
\(318\) 15.4739 + 19.1128i 0.0486601 + 0.0601033i
\(319\) −138.320 + 24.3895i −0.433604 + 0.0764560i
\(320\) 41.2585 + 220.255i 0.128933 + 0.688297i
\(321\) −37.8944 242.202i −0.118051 0.754522i
\(322\) −307.733 530.833i −0.955693 1.64855i
\(323\) 366.653i 1.13515i
\(324\) 32.5872 + 322.357i 0.100578 + 0.994929i
\(325\) 289.296 0.890143
\(326\) 522.741 303.042i 1.60350 0.929577i
\(327\) 573.133 89.6713i 1.75270 0.274224i
\(328\) −397.715 142.364i −1.21255 0.434038i
\(329\) 36.0201 + 204.280i 0.109484 + 0.620913i
\(330\) 89.2409 72.2502i 0.270427 0.218940i
\(331\) 171.799 204.742i 0.519031 0.618557i −0.441320 0.897350i \(-0.645490\pi\)
0.960351 + 0.278793i \(0.0899342\pi\)
\(332\) −188.842 32.6076i −0.568801 0.0982157i
\(333\) 105.127 + 95.3745i 0.315695 + 0.286410i
\(334\) −145.897 173.248i −0.436818 0.518708i
\(335\) 311.827 + 54.9835i 0.930827 + 0.164130i
\(336\) 426.912 + 5.22479i 1.27057 + 0.0155500i
\(337\) −45.3861 16.5192i −0.134677 0.0490184i 0.273802 0.961786i \(-0.411719\pi\)
−0.408479 + 0.912768i \(0.633941\pi\)
\(338\) 119.160 682.869i 0.352544 2.02032i
\(339\) −1.42757 4.17141i −0.00421111 0.0123050i
\(340\) 40.3215 + 224.024i 0.118593 + 0.658895i
\(341\) 61.2071 + 106.014i 0.179493 + 0.310891i
\(342\) −124.717 386.448i −0.364668 1.12996i
\(343\) 145.470 + 83.9870i 0.424110 + 0.244860i
\(344\) −77.0151 13.1577i −0.223881 0.0382490i
\(345\) 187.182 310.201i 0.542557 0.899133i
\(346\) 515.622 188.707i 1.49024 0.545397i
\(347\) −132.441 157.837i −0.381673 0.454860i 0.540668 0.841236i \(-0.318171\pi\)
−0.922342 + 0.386375i \(0.873727\pi\)
\(348\) 4.86761 308.334i 0.0139874 0.886018i
\(349\) −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 \(0.152476\pi\)
\(354\) −128.779 111.970i −0.363782 0.316298i
\(355\) 228.432 + 272.234i 0.643470 + 0.766857i
\(356\) 181.372 + 311.587i 0.509471 + 0.875245i
\(357\) 433.604 + 8.38393i 1.21458 + 0.0234844i
\(358\) −85.1937 48.9853i −0.237971 0.136831i
\(359\) 361.309 + 208.602i 1.00643 + 0.581064i 0.910145 0.414290i \(-0.135970\pi\)
0.0962869 + 0.995354i \(0.469303\pi\)
\(360\) 118.700 + 222.403i 0.329722 + 0.617787i
\(361\) 73.9690 + 128.118i 0.204900 + 0.354898i
\(362\) 287.532 0.510017i 0.794286 0.00140889i
\(363\) 268.260 + 52.6681i 0.739009 + 0.145091i
\(364\) 2.86597 + 807.870i 0.00787355 + 2.21942i
\(365\) −105.302 38.3270i −0.288500 0.105005i
\(366\) 4.28194 243.831i 0.0116993 0.666206i
\(367\) −46.8441 8.25989i −0.127641 0.0225065i 0.109463 0.993991i \(-0.465087\pi\)
−0.237104 + 0.971484i \(0.576198\pi\)
\(368\) 185.065 519.909i 0.502893 1.41280i
\(369\) −474.876 18.3707i −1.28693 0.0497852i
\(370\) 103.849 + 37.5895i 0.280673 + 0.101593i
\(371\) 23.4332 27.9266i 0.0631623 0.0752739i
\(372\) −253.978 + 87.9255i −0.682735 + 0.236359i
\(373\) −3.14422 17.8318i −0.00842956 0.0478064i 0.980303 0.197500i \(-0.0632823\pi\)
−0.988732 + 0.149694i \(0.952171\pi\)
\(374\) 113.956 136.298i 0.304696 0.364434i
\(375\) −248.901 308.551i −0.663736 0.822803i
\(376\) −119.161 + 143.555i −0.316917 + 0.381795i
\(377\) 583.510 1.54777
\(378\) 459.864 138.653i 1.21657 0.366807i
\(379\) 492.502i 1.29948i −0.760157 0.649739i \(-0.774878\pi\)
0.760157 0.649739i \(-0.225122\pi\)
\(380\) −203.950 241.315i −0.536712 0.635039i
\(381\) 439.509 + 169.660i 1.15357 + 0.445302i
\(382\) −360.564 + 431.254i −0.943884 + 1.12894i
\(383\) −43.2067 + 7.61850i −0.112811 + 0.0198916i −0.229769 0.973245i \(-0.573797\pi\)
0.116958 + 0.993137i \(0.462686\pi\)
\(384\) 244.790 + 295.861i 0.637474 + 0.770472i
\(385\) −130.394 109.413i −0.338685 0.284190i
\(386\) −328.513 118.909i −0.851070 0.308056i
\(387\) −87.0873 + 11.9056i −0.225032 + 0.0307639i
\(388\) −456.159 380.013i −1.17567 0.979415i
\(389\) −43.7808 + 248.293i −0.112547 + 0.638286i 0.875388 + 0.483420i \(0.160606\pi\)
−0.987936 + 0.154866i \(0.950505\pi\)
\(390\) −417.239 + 231.222i −1.06984 + 0.592876i
\(391\) 191.729 526.771i 0.490355 1.34724i
\(392\) −43.0976 237.036i −0.109943 0.604683i
\(393\) −114.810 100.182i −0.292137 0.254917i
\(394\) −300.159 + 0.532415i −0.761825 + 0.00135131i
\(395\) −76.6975 + 44.2813i −0.194171 + 0.112105i
\(396\) 73.7468 182.418i 0.186229 0.460653i
\(397\) 62.6518 108.516i 0.157813 0.273340i −0.776267 0.630405i \(-0.782889\pi\)
0.934080 + 0.357064i \(0.116222\pi\)
\(398\) 288.870 + 166.096i 0.725803 + 0.417328i
\(399\) −527.053 + 290.857i −1.32094 + 0.728964i
\(400\) −157.083 129.920i −0.392708 0.324801i
\(401\) 390.899 328.004i 0.974812 0.817964i −0.00848695 0.999964i \(-0.502702\pi\)
0.983299 + 0.182000i \(0.0582571\pi\)
\(402\) 513.055 176.598i 1.27626 0.439299i
\(403\) −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
\(408\) 246.516 + 302.289i 0.604206 + 0.740904i
\(409\) −518.054 + 434.699i −1.26664 + 1.06283i −0.271694 + 0.962384i \(0.587584\pi\)
−0.994942 + 0.100451i \(0.967972\pi\)
\(410\) −347.242 + 127.084i −0.846931 + 0.309960i
\(411\) −233.816 + 129.033i −0.568896 + 0.313948i
\(412\) 19.5448 54.2975i 0.0474389 0.131790i
\(413\) −126.489 + 219.085i −0.306269 + 0.530473i
\(414\) 22.8993 620.425i 0.0553124 1.49861i
\(415\) −145.273 + 83.8732i −0.350055 + 0.202104i
\(416\) −552.455 + 471.977i −1.32802 + 1.13456i
\(417\) −156.146 136.252i −0.374451 0.326743i
\(418\) −42.3915 + 242.933i −0.101415 + 0.581180i
\(419\) −13.5624 + 37.2623i −0.0323684 + 0.0889315i −0.954824 0.297171i \(-0.903957\pi\)
0.922456 + 0.386103i \(0.126179\pi\)
\(420\) 290.042 235.674i 0.690577 0.561128i
\(421\) 4.01215 22.7540i 0.00953005 0.0540476i −0.979672 0.200607i \(-0.935709\pi\)
0.989202 + 0.146559i \(0.0468198\pi\)
\(422\) 400.097 + 475.103i 0.948097 + 1.12584i
\(423\) −79.3565 + 194.308i −0.187604 + 0.459356i
\(424\) 32.7882 0.174479i 0.0773307 0.000411506i
\(425\) −158.623 133.100i −0.373231 0.313178i
\(426\) 568.511 + 218.300i 1.33453 + 0.512442i
\(427\) −356.030 + 62.7777i −0.833794 + 0.147020i
\(428\) −283.651 162.427i −0.662735 0.379502i
\(429\) 347.336 + 134.080i 0.809642 + 0.312540i
\(430\) −59.1675 + 34.3004i −0.137599 + 0.0797685i
\(431\) 617.967i 1.43380i 0.697177 + 0.716899i \(0.254439\pi\)
−0.697177 + 0.716899i \(0.745561\pi\)
\(432\) 362.648 + 234.756i 0.839463 + 0.543417i
\(433\) 135.919 0.313902 0.156951 0.987606i \(-0.449834\pi\)
0.156951 + 0.987606i \(0.449834\pi\)
\(434\) 199.828 + 344.698i 0.460432 + 0.794235i
\(435\) −169.478 210.094i −0.389604 0.482974i
\(436\) 384.358 671.216i 0.881556 1.53949i
\(437\) 135.119 + 766.296i 0.309196 + 1.75354i
\(438\) −189.669 + 30.0200i −0.433034 + 0.0685388i
\(439\) 217.856 259.631i 0.496255 0.591414i −0.458542 0.888673i \(-0.651628\pi\)
0.954797 + 0.297259i \(0.0960725\pi\)
\(440\) −0.814668 153.093i −0.00185152 0.347940i
\(441\) −126.344 239.788i −0.286493 0.543737i
\(442\) −564.564 + 475.435i −1.27730 + 1.07564i
\(443\) −329.343 58.0721i −0.743439 0.131088i −0.210916 0.977504i \(-0.567645\pi\)
−0.532523 + 0.846416i \(0.678756\pi\)
\(444\) 186.878 29.9181i 0.420896 0.0673832i
\(445\) 296.553 + 107.937i 0.666412 + 0.242554i
\(446\) 39.8324 + 6.95071i 0.0893104 + 0.0155845i
\(447\) 628.144 + 123.325i 1.40524 + 0.275894i
\(448\) 361.251 439.947i 0.806364 0.982025i
\(449\) 33.3868 + 57.8276i 0.0743581 + 0.128792i 0.900807 0.434220i \(-0.142976\pi\)
−0.826449 + 0.563012i \(0.809643\pi\)
\(450\) −212.460 86.3307i −0.472134 0.191846i
\(451\) 249.937 + 144.301i 0.554184 + 0.319958i
\(452\) −5.53114 1.99098i −0.0122370 0.00440482i
\(453\) 215.147 + 4.15997i 0.474939 + 0.00918316i
\(454\) 32.6759 + 89.2831i 0.0719732 + 0.196659i
\(455\) 454.555 + 541.718i 0.999022 + 1.19059i
\(456\) −506.135 192.291i −1.10994 0.421691i
\(457\) 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 \(0.428596\pi\)
\(462\) −286.323 55.6871i −0.619747 0.120535i
\(463\) 203.177 + 242.137i 0.438827 + 0.522973i 0.939447 0.342694i \(-0.111339\pi\)
−0.500621 + 0.865667i \(0.666895\pi\)
\(464\) −316.837 262.049i −0.682838 0.564762i
\(465\) −121.547 + 201.430i −0.261392 + 0.433183i
\(466\) −382.065 + 664.476i −0.819883 + 1.42591i
\(467\) −368.289 212.632i −0.788627 0.455314i 0.0508517 0.998706i \(-0.483806\pi\)
−0.839479 + 0.543392i \(0.817140\pi\)
\(468\) −433.325 + 693.138i −0.925907 + 1.48106i
\(469\) −402.186 696.607i −0.857540 1.48530i
\(470\) 0.289673 + 163.309i 0.000616326 + 0.347465i
\(471\) 254.424 + 743.438i 0.540178 + 1.57842i
\(472\) −223.862 + 40.7024i −0.474284 + 0.0862338i
\(473\) 50.1599 + 18.2567i 0.106046 + 0.0385977i
\(474\) −78.1777 + 130.078i −0.164932 + 0.274427i
\(475\) 283.056 + 49.9105i 0.595908 + 0.105075i
\(476\) 370.116 444.278i 0.777555 0.933358i
\(477\) 35.1245 11.2668i 0.0736362 0.0236202i
\(478\) −233.733 + 645.737i −0.488981 + 1.35092i
\(479\) −100.261 + 119.487i −0.209314 + 0.249450i −0.860479 0.509485i \(-0.829836\pi\)
0.651166 + 0.758936i \(0.274280\pi\)
\(480\) 330.394 + 61.8289i 0.688320 + 0.128810i
\(481\) 62.1865 + 352.677i 0.129286 + 0.733217i
\(482\) 370.406 + 309.689i 0.768476 + 0.642509i
\(483\) −909.311 + 142.269i −1.88263 + 0.294553i
\(484\) 278.397 235.291i 0.575201 0.486138i
\(485\) −519.696 −1.07154
\(486\) 468.467 + 129.362i 0.963924 + 0.266177i
\(487\) 545.789i 1.12072i 0.828250 + 0.560359i \(0.189337\pi\)
−0.828250 + 0.560359i \(0.810663\pi\)
\(488\) −250.195 207.680i −0.512694 0.425573i
\(489\) −140.100 895.449i −0.286504 1.83118i
\(490\) −161.790 135.269i −0.330183 0.276060i
\(491\) 193.358 34.0942i 0.393804 0.0694383i 0.0267601 0.999642i \(-0.491481\pi\)
0.367044 + 0.930204i \(0.380370\pi\)
\(492\) −414.908 + 478.908i −0.843309 + 0.973389i
\(493\) −319.942 268.464i −0.648970 0.544551i
\(494\) 348.695 963.345i 0.705860 1.95009i
\(495\) −52.6066 164.002i −0.106276 0.331317i
\(496\) −120.172 + 337.605i −0.242283 + 0.680655i
\(497\) 156.767 889.069i 0.315426 1.78887i
\(498\) −148.076 + 246.381i −0.297342 + 0.494741i
\(499\) 329.193 904.449i 0.659705 1.81252i 0.0814345 0.996679i \(-0.474050\pi\)
0.578270 0.815845i \(-0.303728\pi\)
\(500\) −528.568 + 1.87513i −1.05714 + 0.00375026i
\(501\) −321.443 + 110.006i −0.641604 + 0.219574i
\(502\) −0.149702 84.3973i −0.000298211 0.168122i
\(503\) 379.909 219.340i 0.755285 0.436064i −0.0723150 0.997382i \(-0.523039\pi\)
0.827600 + 0.561318i \(0.189705\pi\)
\(504\) 238.977 594.158i 0.474160 1.17888i
\(505\) −17.8547 + 30.9252i −0.0353558 + 0.0612380i
\(506\) −187.937 + 326.855i −0.371418 + 0.645958i
\(507\) −890.259 537.202i −1.75594 1.05957i
\(508\) 542.883 316.007i 1.06867 0.622061i
\(509\) −193.632 + 162.477i −0.380417 + 0.319208i −0.812866 0.582450i \(-0.802094\pi\)
0.432449 + 0.901658i \(0.357650\pi\)
\(510\) 335.156 + 65.1846i 0.657169 + 0.127813i
\(511\) 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
\(516\) −60.1930 + 100.557i −0.116653 + 0.194879i
\(517\) 97.6420 81.9313i 0.188863 0.158475i
\(518\) −96.4261 263.473i −0.186151 0.508636i
\(519\) 15.9218 823.449i 0.0306778 1.58661i
\(520\) −107.111 + 626.948i −0.205983 + 1.20567i
\(521\) −364.963 + 632.134i −0.700504 + 1.21331i 0.267785 + 0.963479i \(0.413708\pi\)
−0.968290 + 0.249830i \(0.919625\pi\)
\(522\) −428.532 174.129i −0.820943 0.333580i
\(523\) 405.945 234.373i 0.776186 0.448131i −0.0588911 0.998264i \(-0.518756\pi\)
0.835077 + 0.550133i \(0.185423\pi\)
\(524\) −199.952 + 35.9888i −0.381588 + 0.0686810i
\(525\) −65.4965 + 333.601i −0.124755 + 0.635430i
\(526\) −209.745 36.6002i −0.398754 0.0695821i
\(527\) −124.500 + 342.061i −0.236243 + 0.649071i
\(528\) −128.384 228.789i −0.243152 0.433312i
\(529\) −114.724 + 650.630i −0.216869 + 1.22992i
\(530\) 21.9536 18.4877i 0.0414219 0.0348825i
\(531\) −226.462 + 119.322i −0.426481 + 0.224712i
\(532\) −136.572 + 790.939i −0.256715 + 1.48673i
\(533\) −918.481 770.697i −1.72323 1.44596i
\(534\) 534.147 84.5425i 1.00027 0.158319i
\(535\) −281.769 + 49.6836i −0.526672 + 0.0928665i
\(536\) 243.818 681.141i 0.454885 1.27079i
\(537\) −114.733 + 92.5521i −0.213655 + 0.172350i
\(538\) 444.783 + 767.241i 0.826734 + 1.42610i
\(539\) 164.598i 0.305376i
\(540\) 375.422 45.2992i 0.695227 0.0838873i
\(541\) 578.608 1.06952 0.534758 0.845005i \(-0.320403\pi\)
0.534758 + 0.845005i \(0.320403\pi\)
\(542\) −545.125 + 316.019i −1.00577 + 0.583060i
\(543\) 155.320 402.360i 0.286041 0.740995i
\(544\) 520.063 4.61250i 0.955998 0.00847886i
\(545\) −117.569 666.765i −0.215722 1.22342i
\(546\) 1131.28 + 434.394i 2.07194 + 0.795594i
\(547\) −163.148 + 194.432i −0.298259 + 0.355451i −0.894272 0.447524i \(-0.852306\pi\)
0.596013 + 0.802975i \(0.296751\pi\)
\(548\) −60.5876 + 350.884i −0.110561 + 0.640299i
\(549\) −338.650 138.307i −0.616848 0.251924i
\(550\) 89.7099 + 106.528i 0.163109 + 0.193687i
\(551\) 570.924 + 100.669i 1.03616 + 0.182703i
\(552\) −626.612 540.930i −1.13517 0.979946i
\(553\) 211.413 + 76.9480i 0.382302 + 0.139146i
\(554\) 55.6341 318.822i 0.100422 0.575492i
\(555\) 108.920 124.824i 0.196253 0.224908i
\(556\) −271.943 + 48.9463i −0.489106 + 0.0880328i
\(557\) 65.6464 + 113.703i 0.117857 + 0.204135i 0.918918 0.394448i \(-0.129064\pi\)
−0.801061 + 0.598583i \(0.795731\pi\)
\(558\) −14.8698 + 402.876i −0.0266483 + 0.721999i
\(559\) −192.052 110.881i −0.343563 0.198356i
\(560\) −3.53541 498.281i −0.00631324 0.889787i
\(561\) −128.759 233.320i −0.229517 0.415901i
\(562\) 784.370 287.064i 1.39568 0.510790i
\(563\) 233.686 + 278.496i 0.415072 + 0.494664i 0.932554 0.361030i \(-0.117575\pi\)
−0.517482 + 0.855694i \(0.673130\pi\)
\(564\) 136.082 + 244.536i 0.241281 + 0.433575i
\(565\) −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 \(0.474810\pi\)
\(570\) −448.131 + 154.251i −0.786194 + 0.270615i
\(571\) −186.268 221.985i −0.326213 0.388765i 0.577866 0.816132i \(-0.303886\pi\)
−0.904078 + 0.427367i \(0.859441\pi\)
\(572\) 429.031 249.735i 0.750055 0.436599i
\(573\) 407.400 + 738.238i 0.710994 + 1.28837i
\(574\) 814.323 + 468.226i 1.41868 + 0.815724i
\(575\) 380.568 + 219.721i 0.661857 + 0.382124i
\(576\) 546.570 181.760i 0.948907 0.315556i
\(577\) 493.417 + 854.624i 0.855143 + 1.48115i 0.876512 + 0.481379i \(0.159864\pi\)
−0.0213695 + 0.999772i \(0.506803\pi\)
\(578\) −49.7052 + 0.0881659i −0.0859951 + 0.000152536i
\(579\) −344.555 + 394.864i −0.595087 + 0.681975i
\(580\) −359.904 + 1.27678i −0.620525 + 0.00220135i
\(581\) 400.437 + 145.747i 0.689220 + 0.250856i
\(582\) −778.951 + 431.671i −1.33840 + 0.741703i
\(583\) −22.0609 3.88993i −0.0378403 0.00667227i
\(584\) −126.838 + 222.415i −0.217189 + 0.380848i
\(585\) 96.9188 + 708.942i 0.165673 + 1.21187i
\(586\) 462.810 + 167.520i 0.789779 + 0.285870i
\(587\) 183.011 218.104i 0.311773 0.371557i −0.587289 0.809377i \(-0.699805\pi\)
0.899062 + 0.437820i \(0.144249\pi\)
\(588\) −354.858 68.3633i −0.603499 0.116264i
\(589\) −87.7398 497.597i −0.148964 0.844817i
\(590\) −127.751 + 152.798i −0.216528 + 0.258979i
\(591\) −162.141 + 420.030i −0.274350 + 0.710711i
\(592\) 124.618 219.426i 0.210504 0.370651i
\(593\) −669.113 −1.12835 −0.564176 0.825654i \(-0.690806\pi\)
−0.564176 + 0.825654i \(0.690806\pi\)
\(594\) −215.074 202.119i −0.362077 0.340268i
\(595\) 506.161i 0.850690i
\(596\) 651.879 550.944i 1.09376 0.924403i
\(597\) 389.028 313.820i 0.651638 0.525661i
\(598\) 1004.72 1201.70i 1.68013 2.00953i
\(599\) −363.236 + 64.0483i −0.606404 + 0.106925i −0.468415 0.883508i \(-0.655175\pi\)
−0.137989 + 0.990434i \(0.544064\pi\)
\(600\) −266.924 + 149.162i −0.444873 + 0.248603i
\(601\) −489.063 410.373i −0.813750 0.682817i 0.137750 0.990467i \(-0.456013\pi\)
−0.951500 + 0.307650i \(0.900457\pi\)
\(602\) 163.365 + 59.1320i 0.271370 + 0.0982259i
\(603\) 31.4624 813.289i 0.0521764 1.34874i
\(604\) 183.646 220.444i 0.304049 0.364973i
\(605\) 55.4056 314.221i 0.0915795 0.519373i
\(606\) −1.07444 + 61.1831i −0.00177300 + 0.100962i
\(607\) 38.7649 106.506i 0.0638631 0.175463i −0.903657 0.428258i \(-0.859128\pi\)
0.967520 + 0.252795i \(0.0813498\pi\)
\(608\) −621.966 + 366.485i −1.02297 + 0.602771i
\(609\) −132.106 + 672.873i −0.216923 + 1.10488i
\(610\) −284.623 + 0.504858i −0.466595 + 0.000827635i
\(611\) −458.595 + 264.770i −0.750565 + 0.433339i
\(612\) 556.496 180.686i 0.909307 0.295239i
\(613\) 132.437 229.387i 0.216047 0.374204i −0.737549 0.675294i \(-0.764017\pi\)
0.953596 + 0.301089i \(0.0973502\pi\)
\(614\) 475.714 + 273.530i 0.774778 + 0.445488i
\(615\) −10.7224 + 554.546i −0.0174348 + 0.901700i
\(616\) −296.594 + 251.573i −0.481483 + 0.408398i
\(617\) 616.167 517.025i 0.998649 0.837966i 0.0118524 0.999930i \(-0.496227\pi\)
0.986797 + 0.161964i \(0.0517827\pi\)
\(618\) −65.3232 56.7967i −0.105701 0.0919041i
\(619\) 266.035 + 730.924i 0.429781 + 1.18081i 0.945946 + 0.324325i \(0.105137\pi\)
−0.516164 + 0.856490i \(0.672641\pi\)
\(620\) 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
\(624\) 360.213 + 1028.68i 0.577265 + 1.64852i
\(625\) −110.436 + 92.6665i −0.176697 + 0.148266i
\(626\) −33.2724 + 12.1770i −0.0531507 + 0.0194521i
\(627\) 316.713 + 191.111i 0.505124 + 0.304803i
\(628\) 985.772 + 354.836i 1.56970 + 0.565026i
\(629\) 128.164 221.986i 0.203758 0.352919i
\(630\) −172.170 533.486i −0.273285 0.846804i
\(631\) 56.8376 32.8152i 0.0900754 0.0520051i −0.454286 0.890856i \(-0.650105\pi\)
0.544361 + 0.838851i \(0.316772\pi\)
\(632\) 70.2190 + 189.777i 0.111106 + 0.300280i
\(633\) 881.501 301.673i 1.39258 0.476576i
\(634\) 9.20692 52.7622i 0.0145220 0.0832211i
\(635\) 188.060 516.690i 0.296157 0.813684i
\(636\) 17.5490 45.9456i 0.0275928 0.0722416i
\(637\) 118.744 673.429i 0.186411 1.05719i
\(638\) 180.945 + 214.866i 0.283613 + 0.336781i
\(639\) 613.782 676.541i 0.960535 1.05875i
\(640\) 339.717 292.320i 0.530807 0.456750i
\(641\) 593.381 + 497.905i 0.925711 + 0.776764i 0.975042 0.222019i \(-0.0712647\pi\)
−0.0493316 + 0.998782i \(0.515709\pi\)
\(642\) −381.064 + 308.513i −0.593558 + 0.480550i
\(643\) −1077.13 + 189.927i −1.67516 + 0.295376i −0.928915 0.370293i \(-0.879257\pi\)
−0.746247 + 0.665670i \(0.768146\pi\)
\(644\) −609.808 + 1064.93i −0.946907 + 1.65361i
\(645\) 15.8575 + 101.353i 0.0245853 + 0.157137i
\(646\) −634.411 + 367.779i −0.982060 + 0.569318i
\(647\) 1076.11i 1.66323i −0.555356 0.831613i \(-0.687418\pi\)
0.555356 0.831613i \(-0.312582\pi\)
\(648\) 525.079 379.732i 0.810307 0.586006i
\(649\) 155.450 0.239522
\(650\) −290.185 500.562i −0.446438 0.770095i
\(651\) 590.464 92.3829i 0.907011 0.141909i
\(652\) −1048.69 600.512i −1.60842 0.921031i
\(653\) −44.4135 251.881i −0.0680145 0.385729i −0.999745 0.0225791i \(-0.992812\pi\)
0.931731 0.363150i \(-0.118299\pi\)
\(654\) −730.049 901.731i −1.11628 1.37879i
\(655\) −114.312 + 136.232i −0.174522 + 0.207987i
\(656\) 152.607 + 830.958i 0.232633 + 1.26670i
\(657\) −60.9467 + 281.523i −0.0927652 + 0.428498i
\(658\) 317.330 267.232i 0.482265 0.406128i
\(659\) −672.381 118.559i −1.02030 0.179907i −0.361620 0.932326i \(-0.617776\pi\)
−0.658685 + 0.752418i \(0.728887\pi\)
\(660\) −214.528 81.9392i −0.325042 0.124150i
\(661\) −296.947 108.080i −0.449239 0.163510i 0.107486 0.994207i \(-0.465720\pi\)
−0.556725 + 0.830697i \(0.687942\pi\)
\(662\) −526.587 91.8888i −0.795449 0.138805i
\(663\) 358.478 + 1047.49i 0.540690 + 1.57992i
\(664\) 133.002 + 359.456i 0.200304 + 0.541350i
\(665\) 351.291 + 608.455i 0.528258 + 0.914969i
\(666\) 59.5746 277.565i 0.0894514 0.416764i
\(667\) 767.605 + 443.177i 1.15083 + 0.664433i
\(668\) −153.422 + 426.223i −0.229674 + 0.638058i
\(669\) 31.3355 51.9297i 0.0468393 0.0776228i
\(670\) −217.648 594.698i −0.324848 0.887610i
\(671\) 142.794 + 170.175i 0.212808 + 0.253615i
\(672\) −419.183 743.916i −0.623784 1.10702i
\(673\) −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 \(0.581337\pi\)
\(678\) −5.78573 + 6.65430i −0.00853353 + 0.00981460i
\(679\) 848.616 + 1011.34i 1.24980 + 1.48946i
\(680\) 347.178 294.480i 0.510556 0.433058i
\(681\) 142.585 + 2.75695i 0.209376 + 0.00404839i
\(682\) 122.038 212.244i 0.178941 0.311209i
\(683\) −534.500 308.594i −0.782577 0.451821i 0.0547656 0.998499i \(-0.482559\pi\)
−0.837343 + 0.546678i \(0.815892\pi\)
\(684\) −543.561 + 603.428i −0.794679 + 0.882205i
\(685\) 155.843 + 269.928i 0.227508 + 0.394056i
\(686\) −0.595896 335.947i −0.000868653 0.489719i
\(687\) −207.786 40.7950i −0.302454 0.0593813i
\(688\) 54.4852 + 146.455i 0.0791936 + 0.212871i
\(689\) 87.4528 + 31.8302i 0.126927 + 0.0461977i
\(690\) −724.489 12.7228i −1.04998 0.0184389i
\(691\) −1107.65 195.308i −1.60296 0.282645i −0.700576 0.713578i \(-0.747074\pi\)
−0.902384 + 0.430933i \(0.858185\pi\)
\(692\) −843.721 702.881i −1.21925 1.01572i
\(693\) −233.250 + 370.174i −0.336580 + 0.534162i
\(694\) −140.253 + 387.480i −0.202094 + 0.558328i
\(695\) −155.469 + 185.281i −0.223696 + 0.266591i
\(696\) −538.385 + 300.859i −0.773542 + 0.432268i
\(697\) 149.024 + 845.156i 0.213807 + 1.21256i
\(698\) 252.456 + 211.074i 0.361685 + 0.302398i
\(699\) 721.868 + 894.867i 1.03271 + 1.28021i
\(700\) 292.601 + 346.207i 0.418002 + 0.494581i
\(701\) 368.048 0.525032 0.262516 0.964928i \(-0.415448\pi\)
0.262516 + 0.964928i \(0.415448\pi\)
\(702\) 734.132 + 982.101i 1.04577 + 1.39900i
\(703\) 355.799i 0.506115i
\(704\) −345.111 57.0722i −0.490214 0.0810685i
\(705\) 228.528 + 88.2168i 0.324153 + 0.125130i
\(706\) −732.599 612.513i −1.03768 0.867582i
\(707\) 89.3364 15.7524i 0.126360 0.0222806i
\(708\) −64.5639 + 335.136i −0.0911920 + 0.473356i
\(709\) −565.166 474.230i −0.797131 0.668872i 0.150369 0.988630i \(-0.451954\pi\)
−0.947499 + 0.319758i \(0.896398\pi\)
\(710\) 241.907 668.320i 0.340714 0.941296i
\(711\) 139.477 + 179.912i 0.196170 + 0.253041i
\(712\) 357.202 626.367i 0.501689 0.879729i
\(713\) 134.146 760.778i 0.188143 1.06701i
\(714\) −420.429 758.664i −0.588836 1.06255i
\(715\) 148.620 408.331i 0.207861 0.571092i
\(716\) 0.697254 + 196.544i 0.000973818 + 0.274503i
\(717\) 776.159 + 677.270i 1.08251 + 0.944589i
\(718\) −1.48005 834.406i −0.00206135 1.16213i
\(719\) 1138.67 657.410i 1.58368 0.914340i 0.589367 0.807865i \(-0.299377\pi\)
0.994315 0.106475i \(-0.0339563\pi\)
\(720\) 265.754 428.470i 0.369103 0.595097i
\(721\) −64.1618 + 111.131i −0.0889900 + 0.154135i
\(722\) 147.483 256.498i 0.204270 0.355260i
\(723\) 634.075 349.917i 0.877005 0.483979i
\(724\) −289.297 496.997i −0.399581 0.686460i
\(725\) 250.806 210.451i 0.345939 0.290277i
\(726\) −177.954 516.994i −0.245116 0.712113i
\(727\) −64.9919 178.564i −0.0893974 0.245617i 0.886934 0.461895i \(-0.152830\pi\)
−0.976332 + 0.216278i \(0.930608\pi\)
\(728\) 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
\(732\) −426.190 + 237.171i −0.582227 + 0.324004i
\(733\) 42.1532 35.3708i 0.0575078 0.0482548i −0.613581 0.789632i \(-0.710271\pi\)
0.671089 + 0.741377i \(0.265827\pi\)
\(734\) 32.6961 + 89.3385i 0.0445451 + 0.121715i
\(735\) −276.958 + 152.840i −0.376813 + 0.207946i
\(736\) −1085.22 + 201.293i −1.47448 + 0.273496i
\(737\) −247.135 + 428.051i −0.335326 + 0.580802i
\(738\) 444.547 + 840.092i 0.602368 + 1.13834i
\(739\) −190.459 + 109.961i −0.257725 + 0.148798i −0.623296 0.781986i \(-0.714207\pi\)
0.365571 + 0.930783i \(0.380874\pi\)
\(740\) −39.1278 217.392i −0.0528754 0.293773i
\(741\) −1157.91 1010.39i −1.56264 1.36355i
\(742\) −71.8258 12.5335i −0.0968003 0.0168915i
\(743\) −324.288 + 890.974i −0.436458 + 1.19916i 0.505323 + 0.862930i \(0.331373\pi\)
−0.941781 + 0.336228i \(0.890849\pi\)
\(744\) 406.893 + 351.255i 0.546899 + 0.472117i
\(745\) 129.735 735.762i 0.174140 0.987600i
\(746\) −27.7000 + 23.3269i −0.0371314 + 0.0312693i
\(747\) 264.183 + 340.772i 0.353659 + 0.456187i
\(748\) −350.139 60.4591i −0.468101 0.0808276i
\(749\) 556.790 + 467.202i 0.743378 + 0.623768i
\(750\) −284.213 + 740.166i −0.378951 + 0.986887i
\(751\) −462.740 + 81.5936i −0.616166 + 0.108647i −0.473015 0.881054i \(-0.656834\pi\)
−0.143150 + 0.989701i \(0.545723\pi\)
\(752\) 367.916 + 62.1852i 0.489250 + 0.0826931i
\(753\) −118.102 45.5901i −0.156842 0.0605446i
\(754\) −585.302 1009.63i −0.776263 1.33904i
\(755\) 251.149i 0.332647i