Properties

Label 33.6.f.a.8.2
Level $33$
Weight $6$
Character 33.8
Analytic conductor $5.293$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 33 = 3 \cdot 11 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 33.f (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.29266605383\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 8.2
Character \(\chi\) \(=\) 33.8
Dual form 33.6.f.a.29.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-7.80447 + 5.67028i) q^{2} +(14.8651 - 4.69358i) q^{3} +(18.8692 - 58.0733i) q^{4} +(-46.3038 + 63.7318i) q^{5} +(-89.4001 + 120.920i) q^{6} +(-135.347 - 43.9769i) q^{7} +(86.6348 + 266.635i) q^{8} +(198.941 - 139.541i) q^{9} +O(q^{10})\) \(q+(-7.80447 + 5.67028i) q^{2} +(14.8651 - 4.69358i) q^{3} +(18.8692 - 58.0733i) q^{4} +(-46.3038 + 63.7318i) q^{5} +(-89.4001 + 120.920i) q^{6} +(-135.347 - 43.9769i) q^{7} +(86.6348 + 266.635i) q^{8} +(198.941 - 139.541i) q^{9} -759.949i q^{10} +(-281.284 - 286.234i) q^{11} +(7.91957 - 951.828i) q^{12} +(-87.0414 - 119.802i) q^{13} +(1305.67 - 424.239i) q^{14} +(-389.179 + 1164.71i) q^{15} +(-607.228 - 441.177i) q^{16} +(-1754.90 - 1275.01i) q^{17} +(-761.391 + 2217.09i) q^{18} +(-95.9970 + 31.1913i) q^{19} +(2827.40 + 3891.58i) q^{20} +(-2218.35 - 18.4575i) q^{21} +(3818.31 + 638.946i) q^{22} +368.216i q^{23} +(2539.30 + 3556.91i) q^{24} +(-952.014 - 2930.00i) q^{25} +(1358.62 + 441.444i) q^{26} +(2302.32 - 3008.03i) q^{27} +(-5107.77 + 7030.24i) q^{28} +(-1429.99 + 4401.07i) q^{29} +(-3566.88 - 11296.7i) q^{30} +(-3090.40 + 2245.31i) q^{31} -1730.70 q^{32} +(-5524.78 - 2934.66i) q^{33} +20925.7 q^{34} +(9069.81 - 6589.60i) q^{35} +(-4349.76 - 14186.2i) q^{36} +(-2571.90 + 7915.49i) q^{37} +(572.342 - 787.762i) q^{38} +(-1856.18 - 1372.33i) q^{39} +(-21004.6 - 6824.81i) q^{40} +(4267.35 + 13133.5i) q^{41} +(17417.7 - 12434.6i) q^{42} +488.950i q^{43} +(-21930.2 + 10934.1i) q^{44} +(-318.528 + 19140.1i) q^{45} +(-2087.89 - 2873.73i) q^{46} +(10651.2 - 3460.77i) q^{47} +(-11097.2 - 3708.05i) q^{48} +(2787.69 + 2025.38i) q^{49} +(24043.9 + 17468.9i) q^{50} +(-32071.0 - 10716.3i) q^{51} +(-8599.71 + 2794.21i) q^{52} +(-20254.1 - 27877.3i) q^{53} +(-912.020 + 36530.9i) q^{54} +(31266.8 - 4673.01i) q^{55} -39898.1i q^{56} +(-1280.60 + 914.231i) q^{57} +(-13794.9 - 42456.5i) q^{58} +(14905.9 + 4843.22i) q^{59} +(60295.0 + 44578.0i) q^{60} +(-3143.46 + 4326.60i) q^{61} +(11387.4 - 35046.9i) q^{62} +(-33062.6 + 10137.6i) q^{63} +(32938.5 - 23931.2i) q^{64} +11665.6 q^{65} +(59758.3 - 8423.56i) q^{66} +16315.4 q^{67} +(-107157. + 77854.3i) q^{68} +(1728.25 + 5473.56i) q^{69} +(-33420.2 + 102857. i) q^{70} +(-20780.1 + 28601.4i) q^{71} +(54441.6 + 40955.3i) q^{72} +(-45687.9 - 14844.9i) q^{73} +(-24810.8 - 76359.6i) q^{74} +(-27903.9 - 39086.3i) q^{75} +6163.42i q^{76} +(25483.3 + 51111.0i) q^{77} +(22268.0 + 185.278i) q^{78} +(26971.6 + 37123.3i) q^{79} +(56234.0 - 18271.5i) q^{80} +(20105.7 - 55520.7i) q^{81} +(-107775. - 78303.4i) q^{82} +(-22519.9 - 16361.6i) q^{83} +(-42930.3 + 128479. i) q^{84} +(162517. - 52804.9i) q^{85} +(-2772.48 - 3816.00i) q^{86} +(-600.182 + 72133.9i) q^{87} +(51950.9 - 99798.0i) q^{88} -101994. i q^{89} +(-106044. - 151185. i) q^{90} +(6512.26 + 20042.7i) q^{91} +(21383.5 + 6947.94i) q^{92} +(-35400.5 + 47881.7i) q^{93} +(-63503.1 + 87404.5i) q^{94} +(2457.15 - 7562.33i) q^{95} +(-25727.0 + 8123.19i) q^{96} +(-94705.3 + 68807.4i) q^{97} -33240.9 q^{98} +(-95900.3 - 17692.9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q + 18q^{3} - 262q^{4} + 15q^{6} - 10q^{7} + 292q^{9} + O(q^{10}) \) \( 72q + 18q^{3} - 262q^{4} + 15q^{6} - 10q^{7} + 292q^{9} + 1854q^{12} - 10q^{13} - 762q^{15} - 10122q^{16} + 4815q^{18} + 4460q^{19} + 4628q^{22} - 805q^{24} + 13708q^{25} + 6108q^{27} - 28130q^{28} - 15470q^{30} + 4340q^{31} - 508q^{33} + 18732q^{34} - 56461q^{36} + 978q^{37} + 23360q^{39} + 69750q^{40} + 60788q^{42} - 31356q^{45} - 52090q^{46} + 4238q^{48} - 58448q^{49} - 178950q^{51} - 14190q^{52} + 86600q^{55} + 266190q^{57} + 137102q^{58} + 284090q^{60} - 77890q^{61} - 120330q^{63} - 379114q^{64} - 323304q^{66} + 42668q^{67} - 271816q^{69} + 87176q^{70} + 343960q^{72} + 116440q^{73} + 326202q^{75} + 155512q^{78} - 350590q^{79} - 208088q^{81} - 606424q^{82} - 220680q^{84} + 665610q^{85} + 1152974q^{88} + 293440q^{90} + 621014q^{91} + 478456q^{93} - 521270q^{94} - 1246430q^{96} - 1030446q^{97} - 590000q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).

\(n\) \(13\) \(23\)
\(\chi(n)\) \(e\left(\frac{3}{10}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −7.80447 + 5.67028i −1.37965 + 1.00237i −0.382736 + 0.923858i \(0.625018\pi\)
−0.996913 + 0.0785160i \(0.974982\pi\)
\(3\) 14.8651 4.69358i 0.953595 0.301093i
\(4\) 18.8692 58.0733i 0.589661 1.81479i
\(5\) −46.3038 + 63.7318i −0.828308 + 1.14007i 0.159927 + 0.987129i \(0.448874\pi\)
−0.988236 + 0.152940i \(0.951126\pi\)
\(6\) −89.4001 + 120.920i −1.01382 + 1.37126i
\(7\) −135.347 43.9769i −1.04401 0.339219i −0.263693 0.964607i \(-0.584941\pi\)
−0.780314 + 0.625388i \(0.784941\pi\)
\(8\) 86.6348 + 266.635i 0.478594 + 1.47296i
\(9\) 198.941 139.541i 0.818686 0.574242i
\(10\) 759.949i 2.40317i
\(11\) −281.284 286.234i −0.700913 0.713247i
\(12\) 7.91957 951.828i 0.0158763 1.90812i
\(13\) −87.0414 119.802i −0.142846 0.196610i 0.731599 0.681735i \(-0.238774\pi\)
−0.874445 + 0.485125i \(0.838774\pi\)
\(14\) 1305.67 424.239i 1.78039 0.578483i
\(15\) −389.179 + 1164.71i −0.446603 + 1.33656i
\(16\) −607.228 441.177i −0.592996 0.430837i
\(17\) −1754.90 1275.01i −1.47275 1.07002i −0.979805 0.199954i \(-0.935921\pi\)
−0.492944 0.870061i \(-0.664079\pi\)
\(18\) −761.391 + 2217.09i −0.553893 + 1.61288i
\(19\) −95.9970 + 31.1913i −0.0610061 + 0.0198221i −0.339361 0.940656i \(-0.610211\pi\)
0.278355 + 0.960478i \(0.410211\pi\)
\(20\) 2827.40 + 3891.58i 1.58056 + 2.17546i
\(21\) −2218.35 18.4575i −1.09770 0.00913325i
\(22\) 3818.31 + 638.946i 1.68195 + 0.281454i
\(23\) 368.216i 0.145139i 0.997363 + 0.0725694i \(0.0231199\pi\)
−0.997363 + 0.0725694i \(0.976880\pi\)
\(24\) 2539.30 + 3556.91i 0.899884 + 1.26051i
\(25\) −952.014 2930.00i −0.304645 0.937600i
\(26\) 1358.62 + 441.444i 0.394154 + 0.128068i
\(27\) 2302.32 3008.03i 0.607794 0.794095i
\(28\) −5107.77 + 7030.24i −1.23122 + 1.69463i
\(29\) −1429.99 + 4401.07i −0.315747 + 0.971768i 0.659699 + 0.751530i \(0.270684\pi\)
−0.975446 + 0.220239i \(0.929316\pi\)
\(30\) −3566.88 11296.7i −0.723578 2.29165i
\(31\) −3090.40 + 2245.31i −0.577578 + 0.419635i −0.837850 0.545900i \(-0.816188\pi\)
0.260272 + 0.965535i \(0.416188\pi\)
\(32\) −1730.70 −0.298777
\(33\) −5524.78 2934.66i −0.883141 0.469108i
\(34\) 20925.7 3.10443
\(35\) 9069.81 6589.60i 1.25149 0.909262i
\(36\) −4349.76 14186.2i −0.559382 1.82435i
\(37\) −2571.90 + 7915.49i −0.308851 + 0.950547i 0.669360 + 0.742938i \(0.266568\pi\)
−0.978212 + 0.207609i \(0.933432\pi\)
\(38\) 572.342 787.762i 0.0642979 0.0884985i
\(39\) −1856.18 1372.33i −0.195415 0.144477i
\(40\) −21004.6 6824.81i −2.07570 0.674436i
\(41\) 4267.35 + 13133.5i 0.396459 + 1.22018i 0.927819 + 0.373030i \(0.121681\pi\)
−0.531360 + 0.847146i \(0.678319\pi\)
\(42\) 17417.7 12434.6i 1.52359 1.08770i
\(43\) 488.950i 0.0403268i 0.999797 + 0.0201634i \(0.00641864\pi\)
−0.999797 + 0.0201634i \(0.993581\pi\)
\(44\) −21930.2 + 10934.1i −1.70770 + 0.851436i
\(45\) −318.528 + 19140.1i −0.0234486 + 1.40901i
\(46\) −2087.89 2873.73i −0.145483 0.200241i
\(47\) 10651.2 3460.77i 0.703319 0.228522i 0.0645427 0.997915i \(-0.479441\pi\)
0.638776 + 0.769393i \(0.279441\pi\)
\(48\) −11097.2 3708.05i −0.695200 0.232297i
\(49\) 2787.69 + 2025.38i 0.165865 + 0.120508i
\(50\) 24043.9 + 17468.9i 1.36013 + 0.988191i
\(51\) −32071.0 10716.3i −1.72658 0.576925i
\(52\) −8599.71 + 2794.21i −0.441037 + 0.143302i
\(53\) −20254.1 27877.3i −0.990427 1.36321i −0.931019 0.364972i \(-0.881079\pi\)
−0.0594083 0.998234i \(-0.518921\pi\)
\(54\) −912.020 + 36530.9i −0.0425618 + 1.70481i
\(55\) 31266.8 4673.01i 1.39372 0.208300i
\(56\) 39898.1i 1.70013i
\(57\) −1280.60 + 914.231i −0.0522068 + 0.0372708i
\(58\) −13794.9 42456.5i −0.538456 1.65720i
\(59\) 14905.9 + 4843.22i 0.557479 + 0.181136i 0.574187 0.818725i \(-0.305318\pi\)
−0.0167076 + 0.999860i \(0.505318\pi\)
\(60\) 60295.0 + 44578.0i 2.16224 + 1.59861i
\(61\) −3143.46 + 4326.60i −0.108164 + 0.148875i −0.859667 0.510854i \(-0.829329\pi\)
0.751503 + 0.659729i \(0.229329\pi\)
\(62\) 11387.4 35046.9i 0.376224 1.15790i
\(63\) −33062.6 + 10137.6i −1.04951 + 0.321800i
\(64\) 32938.5 23931.2i 1.00520 0.730323i
\(65\) 11665.6 0.342470
\(66\) 59758.3 8423.56i 1.68865 0.238032i
\(67\) 16315.4 0.444028 0.222014 0.975043i \(-0.428737\pi\)
0.222014 + 0.975043i \(0.428737\pi\)
\(68\) −107157. + 77854.3i −2.81028 + 2.04179i
\(69\) 1728.25 + 5473.56i 0.0437003 + 0.138404i
\(70\) −33420.2 + 102857.i −0.815199 + 2.50893i
\(71\) −20780.1 + 28601.4i −0.489218 + 0.673351i −0.980244 0.197794i \(-0.936622\pi\)
0.491025 + 0.871145i \(0.336622\pi\)
\(72\) 54441.6 + 40955.3i 1.23765 + 0.931063i
\(73\) −45687.9 14844.9i −1.00345 0.326040i −0.239205 0.970969i \(-0.576887\pi\)
−0.764242 + 0.644929i \(0.776887\pi\)
\(74\) −24810.8 76359.6i −0.526697 1.62101i
\(75\) −27903.9 39086.3i −0.572813 0.802364i
\(76\) 6163.42i 0.122402i
\(77\) 25483.3 + 51111.0i 0.489811 + 0.982398i
\(78\) 22268.0 + 185.278i 0.414424 + 0.00344816i
\(79\) 26971.6 + 37123.3i 0.486228 + 0.669235i 0.979687 0.200534i \(-0.0642677\pi\)
−0.493459 + 0.869769i \(0.664268\pi\)
\(80\) 56234.0 18271.5i 0.982367 0.319190i
\(81\) 20105.7 55520.7i 0.340492 0.940247i
\(82\) −107775. 78303.4i −1.77005 1.28601i
\(83\) −22519.9 16361.6i −0.358815 0.260694i 0.393743 0.919221i \(-0.371180\pi\)
−0.752558 + 0.658526i \(0.771180\pi\)
\(84\) −42930.3 + 128479.i −0.663844 + 1.98670i
\(85\) 162517. 52804.9i 2.43978 0.792733i
\(86\) −2772.48 3816.00i −0.0404225 0.0556368i
\(87\) −600.182 + 72133.9i −0.00850128 + 1.02174i
\(88\) 51950.9 99798.0i 0.715133 1.37377i
\(89\) 101994.i 1.36490i −0.730933 0.682449i \(-0.760915\pi\)
0.730933 0.682449i \(-0.239085\pi\)
\(90\) −106044. 151185.i −1.38000 1.96744i
\(91\) 6512.26 + 20042.7i 0.0824381 + 0.253719i
\(92\) 21383.5 + 6947.94i 0.263397 + 0.0855827i
\(93\) −35400.5 + 47881.7i −0.424426 + 0.574067i
\(94\) −63503.1 + 87404.5i −0.741268 + 1.02027i
\(95\) 2457.15 7562.33i 0.0279333 0.0859700i
\(96\) −25727.0 + 8123.19i −0.284912 + 0.0899598i
\(97\) −94705.3 + 68807.4i −1.02199 + 0.742516i −0.966689 0.255954i \(-0.917611\pi\)
−0.0552971 + 0.998470i \(0.517611\pi\)
\(98\) −33240.9 −0.349629
\(99\) −95900.3 17692.9i −0.983404 0.181431i
\(100\) −188118. −1.88118
\(101\) 102140. 74209.0i 0.996305 0.723858i 0.0350122 0.999387i \(-0.488853\pi\)
0.961293 + 0.275529i \(0.0888530\pi\)
\(102\) 311062. 98216.4i 2.96037 0.934724i
\(103\) −11144.0 + 34297.6i −0.103501 + 0.318545i −0.989376 0.145381i \(-0.953559\pi\)
0.885874 + 0.463925i \(0.153559\pi\)
\(104\) 24402.6 33587.3i 0.221234 0.304503i
\(105\) 103895. 140525.i 0.919643 1.24388i
\(106\) 316145. + 102722.i 2.73288 + 0.887968i
\(107\) −36469.8 112243.i −0.307946 0.947760i −0.978562 0.205955i \(-0.933970\pi\)
0.670616 0.741805i \(-0.266030\pi\)
\(108\) −131243. 190462.i −1.08272 1.57127i
\(109\) 167377.i 1.34937i −0.738107 0.674684i \(-0.764280\pi\)
0.738107 0.674684i \(-0.235720\pi\)
\(110\) −217523. + 213762.i −1.71405 + 1.68441i
\(111\) −1079.45 + 129736.i −0.00831563 + 0.999430i
\(112\) 62784.9 + 86416.0i 0.472944 + 0.650952i
\(113\) −94788.6 + 30798.7i −0.698329 + 0.226901i −0.636602 0.771192i \(-0.719661\pi\)
−0.0617267 + 0.998093i \(0.519661\pi\)
\(114\) 4810.48 14396.5i 0.0346678 0.103751i
\(115\) −23467.1 17049.8i −0.165468 0.120220i
\(116\) 228602. + 166089.i 1.57737 + 1.14603i
\(117\) −34033.4 11687.7i −0.229848 0.0789340i
\(118\) −143795. + 46721.9i −0.950691 + 0.308898i
\(119\) 181449. + 249743.i 1.17459 + 1.61669i
\(120\) −344268. 2864.44i −2.18245 0.0181588i
\(121\) −2809.13 + 161026.i −0.0174425 + 0.999848i
\(122\) 51591.1i 0.313816i
\(123\) 125078. + 175202.i 0.745448 + 1.04418i
\(124\) 72079.2 + 221837.i 0.420975 + 1.29563i
\(125\) −3312.78 1076.39i −0.0189635 0.00616160i
\(126\) 200553. 266593.i 1.12539 1.49597i
\(127\) 63587.6 87520.8i 0.349835 0.481506i −0.597447 0.801909i \(-0.703818\pi\)
0.947282 + 0.320402i \(0.103818\pi\)
\(128\) −104257. + 320869.i −0.562444 + 1.73103i
\(129\) 2294.93 + 7268.27i 0.0121421 + 0.0384554i
\(130\) −91043.5 + 66147.0i −0.472488 + 0.343282i
\(131\) 190575. 0.970259 0.485129 0.874442i \(-0.338773\pi\)
0.485129 + 0.874442i \(0.338773\pi\)
\(132\) −274673. + 265468.i −1.37209 + 1.32610i
\(133\) 14364.6 0.0704149
\(134\) −127333. + 92512.9i −0.612603 + 0.445082i
\(135\) 85100.7 + 286014.i 0.401882 + 1.35068i
\(136\) 187926. 578375.i 0.871242 2.68141i
\(137\) 85455.2 117619.i 0.388989 0.535397i −0.568949 0.822373i \(-0.692650\pi\)
0.957938 + 0.286975i \(0.0926498\pi\)
\(138\) −44524.7 32918.6i −0.199023 0.147144i
\(139\) −105737. 34356.0i −0.464183 0.150822i 0.0675825 0.997714i \(-0.478471\pi\)
−0.531766 + 0.846891i \(0.678471\pi\)
\(140\) −211540. 651054.i −0.912165 2.80735i
\(141\) 142087. 101437.i 0.601874 0.429682i
\(142\) 341048.i 1.41937i
\(143\) −9808.11 + 58612.7i −0.0401093 + 0.239691i
\(144\) −182365. 3034.89i −0.732882 0.0121966i
\(145\) −214273. 294922.i −0.846347 1.16490i
\(146\) 440745. 143207.i 1.71122 0.556009i
\(147\) 50945.5 + 17023.1i 0.194452 + 0.0649748i
\(148\) 411149. + 298717.i 1.54293 + 1.12100i
\(149\) 197172. + 143254.i 0.727576 + 0.528615i 0.888796 0.458303i \(-0.151543\pi\)
−0.161219 + 0.986919i \(0.551543\pi\)
\(150\) 439406. + 146825.i 1.59455 + 0.532808i
\(151\) −99271.5 + 32255.3i −0.354309 + 0.115122i −0.480763 0.876851i \(-0.659640\pi\)
0.126454 + 0.991972i \(0.459640\pi\)
\(152\) −16633.4 22893.9i −0.0583944 0.0803729i
\(153\) −527035. 8770.87i −1.82017 0.0302910i
\(154\) −488697. 254397.i −1.66050 0.864390i
\(155\) 300923.i 1.00607i
\(156\) −114720. + 81899.6i −0.377424 + 0.269445i
\(157\) 24769.8 + 76233.7i 0.0801999 + 0.246830i 0.983115 0.182989i \(-0.0585773\pi\)
−0.902915 + 0.429819i \(0.858577\pi\)
\(158\) −420999. 136791.i −1.34165 0.435928i
\(159\) −431923. 319334.i −1.35492 1.00173i
\(160\) 80138.1 110301.i 0.247479 0.340626i
\(161\) 16193.0 49837.0i 0.0492338 0.151526i
\(162\) 157903. + 547315.i 0.472720 + 1.63851i
\(163\) −429941. + 312371.i −1.26748 + 0.920876i −0.999099 0.0424376i \(-0.986488\pi\)
−0.268378 + 0.963314i \(0.586488\pi\)
\(164\) 843230. 2.44814
\(165\) 442849. 216218.i 1.26633 0.618275i
\(166\) 268531. 0.756352
\(167\) −243154. + 176662.i −0.674669 + 0.490176i −0.871585 0.490244i \(-0.836908\pi\)
0.196916 + 0.980420i \(0.436908\pi\)
\(168\) −187265. 593088.i −0.511898 1.62124i
\(169\) 107959. 332265.i 0.290766 0.894887i
\(170\) −968939. + 1.33363e6i −2.57143 + 3.53927i
\(171\) −14745.2 + 19600.7i −0.0385622 + 0.0512604i
\(172\) 28394.9 + 9226.08i 0.0731846 + 0.0237791i
\(173\) 90700.7 + 279148.i 0.230407 + 0.709119i 0.997698 + 0.0678200i \(0.0216044\pi\)
−0.767291 + 0.641299i \(0.778396\pi\)
\(174\) −404336. 566371.i −1.01244 1.41817i
\(175\) 438433.i 1.08220i
\(176\) 44523.8 + 297906.i 0.108345 + 0.724932i
\(177\) 244309. + 2032.75i 0.586148 + 0.00487697i
\(178\) 578336. + 796011.i 1.36814 + 1.88308i
\(179\) −23659.6 + 7687.48i −0.0551919 + 0.0179329i −0.336483 0.941690i \(-0.609237\pi\)
0.281291 + 0.959623i \(0.409237\pi\)
\(180\) 1.10552e6 + 379656.i 2.54323 + 0.873391i
\(181\) −282729. 205415.i −0.641467 0.466053i 0.218887 0.975750i \(-0.429758\pi\)
−0.860354 + 0.509697i \(0.829758\pi\)
\(182\) −164472. 119496.i −0.368056 0.267409i
\(183\) −26420.5 + 79069.3i −0.0583194 + 0.174534i
\(184\) −98179.2 + 31900.4i −0.213784 + 0.0694626i
\(185\) −385379. 530429.i −0.827864 1.13946i
\(186\) 4779.41 574422.i 0.0101296 1.21744i
\(187\) 128674. + 860950.i 0.269084 + 1.80042i
\(188\) 683850.i 1.41113i
\(189\) −443896. + 305879.i −0.903913 + 0.622866i
\(190\) 23703.8 + 72952.8i 0.0476358 + 0.146608i
\(191\) −533358. 173299.i −1.05788 0.343725i −0.272122 0.962263i \(-0.587726\pi\)
−0.785755 + 0.618537i \(0.787726\pi\)
\(192\) 377310. 510339.i 0.738661 0.999093i
\(193\) 266408. 366679.i 0.514819 0.708587i −0.469904 0.882718i \(-0.655711\pi\)
0.984723 + 0.174130i \(0.0557114\pi\)
\(194\) 348968. 1.07401e6i 0.665703 2.04882i
\(195\) 173409. 54753.2i 0.326577 0.103115i
\(196\) 170222. 123673.i 0.316501 0.229951i
\(197\) 201649. 0.370194 0.185097 0.982720i \(-0.440740\pi\)
0.185097 + 0.982720i \(0.440740\pi\)
\(198\) 848775. 405697.i 1.53861 0.735426i
\(199\) 184739. 0.330694 0.165347 0.986235i \(-0.447126\pi\)
0.165347 + 0.986235i \(0.447126\pi\)
\(200\) 698761. 507680.i 1.23525 0.897460i
\(201\) 242530. 76577.7i 0.423423 0.133694i
\(202\) −376363. + 1.15832e6i −0.648975 + 1.99734i
\(203\) 387090. 532784.i 0.659284 0.907426i
\(204\) −1.22748e6 + 1.66026e6i −2.06510 + 2.79319i
\(205\) −1.03462e6 336168.i −1.71947 0.558691i
\(206\) −107504. 330864.i −0.176505 0.543227i
\(207\) 51381.2 + 73253.2i 0.0833448 + 0.118823i
\(208\) 111148.i 0.178132i
\(209\) 35930.5 + 18704.0i 0.0568980 + 0.0296189i
\(210\) −14026.8 + 1.68583e6i −0.0219487 + 2.63795i
\(211\) −273878. 376961.i −0.423498 0.582895i 0.542948 0.839767i \(-0.317308\pi\)
−0.966446 + 0.256872i \(0.917308\pi\)
\(212\) −2.00111e6 + 650199.i −3.05795 + 0.993588i
\(213\) −174655. + 522695.i −0.263774 + 0.789404i
\(214\) 921075. + 669200.i 1.37487 + 0.998899i
\(215\) −31161.6 22640.3i −0.0459753 0.0334030i
\(216\) 1.00151e6 + 353278.i 1.46056 + 0.515207i
\(217\) 517018. 167989.i 0.745344 0.242177i
\(218\) 949076. + 1.30629e6i 1.35257 + 1.86165i
\(219\) −748830. 6230.55i −1.05505 0.00877842i
\(220\) 318601. 1.90394e6i 0.443803 2.65214i
\(221\) 321219.i 0.442405i
\(222\) −727214. 1.01864e6i −0.990329 1.38720i
\(223\) −25906.4 79731.8i −0.0348855 0.107367i 0.932097 0.362208i \(-0.117977\pi\)
−0.966983 + 0.254841i \(0.917977\pi\)
\(224\) 234245. + 76110.9i 0.311925 + 0.101351i
\(225\) −598249. 450051.i −0.787817 0.592659i
\(226\) 565138. 777846.i 0.736010 1.01303i
\(227\) −190894. + 587512.i −0.245883 + 0.756749i 0.749607 + 0.661883i \(0.230242\pi\)
−0.995490 + 0.0948661i \(0.969758\pi\)
\(228\) 28928.5 + 91619.6i 0.0368544 + 0.116722i
\(229\) 1.17940e6 856883.i 1.48618 1.07977i 0.510683 0.859769i \(-0.329393\pi\)
0.975499 0.220005i \(-0.0706074\pi\)
\(230\) 279826. 0.348793
\(231\) 618705. + 640160.i 0.762875 + 0.789330i
\(232\) −1.29736e6 −1.58249
\(233\) 162800. 118281.i 0.196455 0.142733i −0.485209 0.874398i \(-0.661256\pi\)
0.681664 + 0.731665i \(0.261256\pi\)
\(234\) 331885. 101762.i 0.396230 0.121492i
\(235\) −272628. + 839064.i −0.322034 + 0.991118i
\(236\) 562524. 774248.i 0.657448 0.904899i
\(237\) 575177. + 425247.i 0.665166 + 0.491779i
\(238\) −2.83223e6 920246.i −3.24105 1.05308i
\(239\) 88996.0 + 273901.i 0.100780 + 0.310170i 0.988717 0.149796i \(-0.0478617\pi\)
−0.887937 + 0.459966i \(0.847862\pi\)
\(240\) 750163. 535546.i 0.840674 0.600163i
\(241\) 810718.i 0.899140i 0.893245 + 0.449570i \(0.148423\pi\)
−0.893245 + 0.449570i \(0.851577\pi\)
\(242\) −891142. 1.27266e6i −0.978157 1.39692i
\(243\) 38281.9 919686.i 0.0415889 0.999135i
\(244\) 191946. + 264190.i 0.206397 + 0.284081i
\(245\) −258162. + 83881.8i −0.274774 + 0.0892796i
\(246\) −1.96961e6 658133.i −2.07512 0.693387i
\(247\) 12092.5 + 8785.71i 0.0126117 + 0.00916293i
\(248\) −866413. 629486.i −0.894532 0.649915i
\(249\) −411554. 137518.i −0.420657 0.140560i
\(250\) 31957.9 10383.8i 0.0323391 0.0105076i
\(251\) 824096. + 1.13427e6i 0.825645 + 1.13640i 0.988718 + 0.149789i \(0.0478595\pi\)
−0.163073 + 0.986614i \(0.552140\pi\)
\(252\) −35136.8 + 2.11134e6i −0.0348546 + 2.09439i
\(253\) 105396. 103574.i 0.103520 0.101730i
\(254\) 1.04361e6i 1.01497i
\(255\) 2.16798e6 1.54773e6i 2.08788 1.49055i
\(256\) −603146. 1.85629e6i −0.575205 1.77030i
\(257\) −67204.8 21836.2i −0.0634698 0.0206226i 0.277110 0.960838i \(-0.410623\pi\)
−0.340580 + 0.940216i \(0.610623\pi\)
\(258\) −59123.9 43712.2i −0.0552985 0.0408840i
\(259\) 696198. 958234.i 0.644886 0.887610i
\(260\) 220119. 677457.i 0.201941 0.621511i
\(261\) 329645. + 1.07509e6i 0.299533 + 0.976888i
\(262\) −1.48734e6 + 1.08061e6i −1.33862 + 0.972562i
\(263\) 893893. 0.796886 0.398443 0.917193i \(-0.369551\pi\)
0.398443 + 0.917193i \(0.369551\pi\)
\(264\) 303844. 1.72734e6i 0.268312 1.52534i
\(265\) 2.71451e6 2.37453
\(266\) −112108. + 81451.3i −0.0971478 + 0.0705820i
\(267\) −478718. 1.51615e6i −0.410962 1.30156i
\(268\) 307858. 947490.i 0.261826 0.805819i
\(269\) −231934. + 319230.i −0.195427 + 0.268982i −0.895473 0.445116i \(-0.853163\pi\)
0.700046 + 0.714097i \(0.253163\pi\)
\(270\) −2.28595e6 1.74964e6i −1.90834 1.46063i
\(271\) 1.10250e6 + 358226.i 0.911921 + 0.296301i 0.727149 0.686480i \(-0.240845\pi\)
0.184773 + 0.982781i \(0.440845\pi\)
\(272\) 503118. + 1.54844e6i 0.412333 + 1.26903i
\(273\) 190877. + 267370.i 0.155006 + 0.217123i
\(274\) 1.40251e6i 1.12857i
\(275\) −570879. + 1.09666e6i −0.455211 + 0.874462i
\(276\) 350479. + 2916.11i 0.276942 + 0.00230426i
\(277\) −475798. 654880.i −0.372583 0.512817i 0.581018 0.813891i \(-0.302655\pi\)
−0.953601 + 0.301074i \(0.902655\pi\)
\(278\) 1.02003e6 331428.i 0.791591 0.257203i
\(279\) −301494. + 877920.i −0.231883 + 0.675219i
\(280\) 2.54278e6 + 1.84744e6i 1.93827 + 1.40823i
\(281\) −1.24667e6 905758.i −0.941857 0.684299i 0.00700969 0.999975i \(-0.497769\pi\)
−0.948867 + 0.315676i \(0.897769\pi\)
\(282\) −533738. + 1.59733e6i −0.399673 + 1.19611i
\(283\) −957682. + 311170.i −0.710813 + 0.230957i −0.642036 0.766675i \(-0.721910\pi\)
−0.0687775 + 0.997632i \(0.521910\pi\)
\(284\) 1.26887e6 + 1.74646e6i 0.933518 + 1.28488i
\(285\) 1031.29 123947.i 0.000752088 0.0903910i
\(286\) −255804. 513056.i −0.184923 0.370894i
\(287\) 1.96525e6i 1.40836i
\(288\) −344307. + 241504.i −0.244604 + 0.171570i
\(289\) 1.01526e6 + 3.12464e6i 0.715041 + 2.20067i
\(290\) 3.34458e6 + 1.08672e6i 2.33532 + 0.758793i
\(291\) −1.08485e6 + 1.46733e6i −0.750994 + 1.01577i
\(292\) −1.72419e6 + 2.37314e6i −1.18339 + 1.62879i
\(293\) −163543. + 503333.i −0.111292 + 0.342520i −0.991156 0.132705i \(-0.957634\pi\)
0.879864 + 0.475226i \(0.157634\pi\)
\(294\) −494128. + 156019.i −0.333405 + 0.105271i
\(295\) −998868. + 725720.i −0.668272 + 0.485528i
\(296\) −2.33336e6 −1.54793
\(297\) −1.50861e6 + 187109.i −0.992396 + 0.123084i
\(298\) −2.35111e6 −1.53367
\(299\) 44113.1 32050.1i 0.0285358 0.0207325i
\(300\) −2.79639e6 + 882950.i −1.79389 + 0.566412i
\(301\) 21502.5 66177.9i 0.0136796 0.0421014i
\(302\) 591865. 814632.i 0.373427 0.513978i
\(303\) 1.17001e6 1.58252e6i 0.732122 0.990248i
\(304\) 72052.9 + 23411.4i 0.0447165 + 0.0145293i
\(305\) −130188. 400676.i −0.0801346 0.246629i
\(306\) 4.16297e6 2.91999e6i 2.54155 1.78270i
\(307\) 1.88152e6i 1.13936i −0.821865 0.569682i \(-0.807066\pi\)
0.821865 0.569682i \(-0.192934\pi\)
\(308\) 3.44903e6 515479.i 2.07167 0.309624i
\(309\) −4677.22 + 562141.i −0.00278671 + 0.334926i
\(310\) 1.70632e6 + 2.34855e6i 1.00845 + 1.38802i
\(311\) −2.73518e6 + 888714.i −1.60356 + 0.521028i −0.967984 0.251011i \(-0.919237\pi\)
−0.635575 + 0.772039i \(0.719237\pi\)
\(312\) 205101. 613813.i 0.119284 0.356985i
\(313\) −992333. 720972.i −0.572528 0.415966i 0.263495 0.964661i \(-0.415125\pi\)
−0.836023 + 0.548695i \(0.815125\pi\)
\(314\) −625582. 454512.i −0.358063 0.260148i
\(315\) 884835. 2.57655e6i 0.502442 1.46306i
\(316\) 2.66481e6 865848.i 1.50123 0.487780i
\(317\) −1.88213e6 2.59053e6i −1.05197 1.44791i −0.887091 0.461595i \(-0.847277\pi\)
−0.164876 0.986314i \(-0.552723\pi\)
\(318\) 5.18164e6 + 43113.2i 2.87342 + 0.0239080i
\(319\) 1.66197e6 828638.i 0.914422 0.455920i
\(320\) 3.20734e6i 1.75093i
\(321\) −1.06895e6 1.49732e6i −0.579020 0.811058i
\(322\) 156212. + 480770.i 0.0839603 + 0.258403i
\(323\) 208234. + 67659.2i 0.111057 + 0.0360845i
\(324\) −2.84489e6 2.21523e6i −1.50558 1.17235i
\(325\) −268156. + 369085.i −0.140825 + 0.193828i
\(326\) 1.58424e6 4.87578e6i 0.825612 2.54097i
\(327\) −785599. 2.48807e6i −0.406286 1.28675i
\(328\) −3.13216e6 + 2.27564e6i −1.60753 + 1.16794i
\(329\) −1.59380e6 −0.811789
\(330\) −2.23019e6 + 4.19855e6i −1.12735 + 2.12234i
\(331\) −32194.1 −0.0161513 −0.00807563 0.999967i \(-0.502571\pi\)
−0.00807563 + 0.999967i \(0.502571\pi\)
\(332\) −1.37511e6 + 999073.i −0.684685 + 0.497453i
\(333\) 592879. + 1.93360e6i 0.292992 + 0.955555i
\(334\) 895969. 2.75751e6i 0.439467 1.35254i
\(335\) −755466. + 1.03981e6i −0.367792 + 0.506223i
\(336\) 1.33890e6 + 989894.i 0.646995 + 0.478344i
\(337\) −545285. 177174.i −0.261547 0.0849817i 0.175308 0.984514i \(-0.443908\pi\)
−0.436855 + 0.899532i \(0.643908\pi\)
\(338\) 1.04147e6 + 3.20532e6i 0.495855 + 1.52609i
\(339\) −1.26448e6 + 902723.i −0.597605 + 0.426634i
\(340\) 1.04343e7i 4.89514i
\(341\) 1.51197e6 + 253009.i 0.704135 + 0.117828i
\(342\) 3937.19 236583.i 0.00182021 0.109375i
\(343\) 1.11765e6 + 1.53832e6i 0.512946 + 0.706010i
\(344\) −130371. + 42360.1i −0.0593998 + 0.0193001i
\(345\) −428864. 143302.i −0.193987 0.0648194i
\(346\) −2.29072e6 1.66431e6i −1.02868 0.747382i
\(347\) 2.28614e6 + 1.66098e6i 1.01925 + 0.740525i 0.966128 0.258063i \(-0.0830843\pi\)
0.0531172 + 0.998588i \(0.483084\pi\)
\(348\) 4.17773e6 + 1.39596e6i 1.84924 + 0.617910i
\(349\) −2.26642e6 + 736404.i −0.996040 + 0.323633i −0.761282 0.648421i \(-0.775430\pi\)
−0.234758 + 0.972054i \(0.575430\pi\)
\(350\) −2.48604e6 3.42174e6i −1.08477 1.49306i
\(351\) −560765. 13999.9i −0.242948 0.00606538i
\(352\) 486819. + 495386.i 0.209417 + 0.213102i
\(353\) 1.20688e6i 0.515499i −0.966212 0.257750i \(-0.917019\pi\)
0.966212 0.257750i \(-0.0829809\pi\)
\(354\) −1.91823e6 + 1.36944e6i −0.813567 + 0.580811i
\(355\) −860618. 2.64871e6i −0.362443 1.11548i
\(356\) −5.92314e6 1.92455e6i −2.47701 0.804828i
\(357\) 3.86944e6 + 2.86080e6i 1.60686 + 1.18800i
\(358\) 141061. 194153.i 0.0581699 0.0800640i
\(359\) −1.03339e6 + 3.18045e6i −0.423184 + 1.30243i 0.481539 + 0.876424i \(0.340078\pi\)
−0.904723 + 0.426001i \(0.859922\pi\)
\(360\) −5.13101e6 + 1.57327e6i −2.08664 + 0.639804i
\(361\) −1.99496e6 + 1.44943e6i −0.805688 + 0.585367i
\(362\) 3.37132e6 1.35216
\(363\) 714033. + 2.40685e6i 0.284415 + 0.958701i
\(364\) 1.28683e6 0.509057
\(365\) 3.06162e6 2.22440e6i 1.20287 0.873937i
\(366\) −242147. 766905.i −0.0944880 0.299253i
\(367\) −156661. + 482152.i −0.0607149 + 0.186861i −0.976814 0.214092i \(-0.931321\pi\)
0.916099 + 0.400953i \(0.131321\pi\)
\(368\) 162449. 223591.i 0.0625312 0.0860667i
\(369\) 2.68162e6 + 2.01733e6i 1.02525 + 0.771277i
\(370\) 6.01537e6 + 1.95451e6i 2.28432 + 0.742222i
\(371\) 1.51537e6 + 4.66382e6i 0.571588 + 1.75917i
\(372\) 2.11267e6 + 2.95931e6i 0.791544 + 1.10875i
\(373\) 1.26218e6i 0.469732i −0.972028 0.234866i \(-0.924535\pi\)
0.972028 0.234866i \(-0.0754652\pi\)
\(374\) −5.88607e6 5.98965e6i −2.17594 2.21423i
\(375\) −54296.8 451.770i −0.0199387 0.000165897i
\(376\) 1.84552e6 + 2.54014e6i 0.673208 + 0.926592i
\(377\) 651726. 211759.i 0.236163 0.0767339i
\(378\) 1.72995e6 4.90424e6i 0.622738 1.76539i
\(379\) −3.88273e6 2.82097e6i −1.38848 1.00879i −0.996030 0.0890137i \(-0.971628\pi\)
−0.392447 0.919774i \(-0.628372\pi\)
\(380\) −392805. 285390.i −0.139546 0.101386i
\(381\) 534448. 1.59946e6i 0.188622 0.564495i
\(382\) 5.14523e6 1.67179e6i 1.80404 0.586168i
\(383\) −1.49262e6 2.05441e6i −0.519937 0.715632i 0.465618 0.884986i \(-0.345832\pi\)
−0.985555 + 0.169353i \(0.945832\pi\)
\(384\) −43757.6 + 5.25909e6i −0.0151435 + 1.82005i
\(385\) −4.43737e6 742538.i −1.52572 0.255309i
\(386\) 4.37235e6i 1.49364i
\(387\) 68228.5 + 97272.0i 0.0231573 + 0.0330149i
\(388\) 2.20887e6 + 6.79819e6i 0.744887 + 2.29252i
\(389\) 1.70007e6 + 552388.i 0.569631 + 0.185084i 0.579650 0.814865i \(-0.303189\pi\)
−0.0100189 + 0.999950i \(0.503189\pi\)
\(390\) −1.04290e6 + 1.41060e6i −0.347202 + 0.469615i
\(391\) 469478. 646181.i 0.155301 0.213753i
\(392\) −298524. + 918763.i −0.0981215 + 0.301987i
\(393\) 2.83291e6 894479.i 0.925233 0.292138i
\(394\) −1.57376e6 + 1.14341e6i −0.510738 + 0.371073i
\(395\) −3.61482e6 −1.16572
\(396\) −2.83705e6 + 5.23540e6i −0.909135 + 1.67769i
\(397\) −4.56835e6 −1.45473 −0.727366 0.686249i \(-0.759256\pi\)
−0.727366 + 0.686249i \(0.759256\pi\)
\(398\) −1.44179e6 + 1.04752e6i −0.456242 + 0.331479i
\(399\) 213531. 67421.4i 0.0671472 0.0212015i
\(400\) −714558. + 2.19918e6i −0.223300 + 0.687245i
\(401\) 3.16177e6 4.35180e6i 0.981904 1.35148i 0.0461070 0.998937i \(-0.485318\pi\)
0.935797 0.352539i \(-0.114682\pi\)
\(402\) −1.45860e6 + 1.97286e6i −0.450164 + 0.608879i
\(403\) 537986. + 174802.i 0.165009 + 0.0536147i
\(404\) −2.38227e6 7.33187e6i −0.726168 2.23492i
\(405\) 2.60746e6 + 3.85219e6i 0.789914 + 1.16700i
\(406\) 6.35301e6i 1.91278i
\(407\) 2.98912e6 1.49034e6i 0.894453 0.445963i
\(408\) 78874.2 9.47964e6i 0.0234576 2.81930i
\(409\) 1.29131e6 + 1.77733e6i 0.381699 + 0.525364i 0.956034 0.293257i \(-0.0947391\pi\)
−0.574334 + 0.818621i \(0.694739\pi\)
\(410\) 9.98082e6 3.24297e6i 2.93229 0.952758i
\(411\) 718243. 2.14951e6i 0.209733 0.627674i
\(412\) 1.78150e6 + 1.29433e6i 0.517061 + 0.375667i
\(413\) −1.80448e6 1.31103e6i −0.520567 0.378214i
\(414\) −816369. 280356.i −0.234092 0.0803914i
\(415\) 2.08551e6 677624.i 0.594419 0.193138i
\(416\) 150643. + 207342.i 0.0426790 + 0.0587427i
\(417\) −1.73304e6 14419.5i −0.488055 0.00406080i
\(418\) −386475. + 57761.1i −0.108188 + 0.0161694i
\(419\) 922775.i 0.256780i −0.991724 0.128390i \(-0.959019\pi\)
0.991724 0.128390i \(-0.0409809\pi\)
\(420\) −6.20034e6 8.68509e6i −1.71511 2.40243i
\(421\) 1.13160e6 + 3.48271e6i 0.311163 + 0.957660i 0.977305 + 0.211836i \(0.0679442\pi\)
−0.666143 + 0.745824i \(0.732056\pi\)
\(422\) 4.27495e6 + 1.38902e6i 1.16856 + 0.379687i
\(423\) 1.63603e6 2.17476e6i 0.444570 0.590963i
\(424\) 5.67835e6 7.81558e6i 1.53394 2.11128i
\(425\) −2.06508e6 + 6.35566e6i −0.554581 + 1.70682i
\(426\) −1.60074e6 5.06970e6i −0.427362 1.35350i
\(427\) 615728. 447353.i 0.163425 0.118735i
\(428\) −7.20645e6 −1.90157
\(429\) 129305. + 917317.i 0.0339214 + 0.240645i
\(430\) 371577. 0.0969120
\(431\) −923603. + 671037.i −0.239493 + 0.174002i −0.701057 0.713105i \(-0.747288\pi\)
0.461565 + 0.887107i \(0.347288\pi\)
\(432\) −2.72511e6 + 810829.i −0.702545 + 0.209035i
\(433\) −950145. + 2.92424e6i −0.243540 + 0.749538i 0.752333 + 0.658783i \(0.228928\pi\)
−0.995873 + 0.0907559i \(0.971072\pi\)
\(434\) −3.08251e6 + 4.24271e6i −0.785561 + 1.08123i
\(435\) −4.56943e6 3.37833e6i −1.15781 0.856010i
\(436\) −9.72015e6 3.15827e6i −2.44882 0.795670i
\(437\) −11485.1 35347.6i −0.00287695 0.00885436i
\(438\) 5.87956e6 4.19745e6i 1.46440 1.04544i
\(439\) 2.92252e6i 0.723763i −0.932224 0.361882i \(-0.882134\pi\)
0.932224 0.361882i \(-0.117866\pi\)
\(440\) 3.95478e6 + 7.93195e6i 0.973846 + 1.95321i
\(441\) 837207. + 13932.7i 0.204992 + 0.00341146i
\(442\) −1.82140e6 2.50694e6i −0.443455 0.610363i
\(443\) −1.58224e6 + 514102.i −0.383057 + 0.124463i −0.494215 0.869340i \(-0.664544\pi\)
0.111157 + 0.993803i \(0.464544\pi\)
\(444\) 7.51382e6 + 2.51069e6i 1.80885 + 0.604416i
\(445\) 6.50027e6 + 4.72272e6i 1.55608 + 1.13056i
\(446\) 654288. + 475368.i 0.155751 + 0.113160i
\(447\) 3.60334e6 + 1.20403e6i 0.852976 + 0.285016i
\(448\) −5.51055e6 + 1.79049e6i −1.29718 + 0.421479i
\(449\) 1.44185e6 + 1.98454e6i 0.337524 + 0.464562i 0.943716 0.330756i \(-0.107304\pi\)
−0.606192 + 0.795318i \(0.707304\pi\)
\(450\) 7.22093e6 + 120170.i 1.68098 + 0.0279747i
\(451\) 2.55893e6 4.91572e6i 0.592403 1.13801i
\(452\) 6.08584e6i 1.40112i
\(453\) −1.32428e6 + 945415.i −0.303205 + 0.216460i
\(454\) −1.84153e6 5.66764e6i −0.419313 1.29051i
\(455\) −1.57890e6 513015.i −0.357541 0.116172i
\(456\) −354710. 262249.i −0.0798843 0.0590611i
\(457\) −1.44695e6 + 1.99156e6i −0.324089 + 0.446070i −0.939710 0.341972i \(-0.888905\pi\)
0.615621 + 0.788042i \(0.288905\pi\)
\(458\) −4.34582e6 + 1.33750e7i −0.968072 + 2.97942i
\(459\) −7.87558e6 + 2.34330e6i −1.74482 + 0.519155i
\(460\) −1.43294e6 + 1.04110e6i −0.315744 + 0.229401i
\(461\) −4.65798e6 −1.02081 −0.510406 0.859934i \(-0.670505\pi\)
−0.510406 + 0.859934i \(0.670505\pi\)
\(462\) −8.45855e6 1.48788e6i −1.84370 0.324313i
\(463\) 310945. 0.0674110 0.0337055 0.999432i \(-0.489269\pi\)
0.0337055 + 0.999432i \(0.489269\pi\)
\(464\) 2.80998e6 2.04157e6i 0.605910 0.440220i
\(465\) −1.41241e6 4.47324e6i −0.302920 0.959379i
\(466\) −599880. + 1.84624e6i −0.127967 + 0.393843i
\(467\) 2.73642e6 3.76636e6i 0.580619 0.799153i −0.413144 0.910666i \(-0.635570\pi\)
0.993763 + 0.111513i \(0.0355695\pi\)
\(468\) −1.32092e6 + 1.75589e6i −0.278781 + 0.370581i
\(469\) −2.20824e6 717501.i −0.463569 0.150623i
\(470\) −2.63001e6 8.09433e6i −0.549177 1.69019i
\(471\) 726014. + 1.01696e6i 0.150797 + 0.211228i
\(472\) 4.39402e6i 0.907836i
\(473\) 139954. 137534.i 0.0287629 0.0282655i
\(474\) −6.90022e6 57412.4i −1.41064 0.0117371i
\(475\) 182781. + 251576.i 0.0371704 + 0.0511606i
\(476\) 1.79272e7 5.82490e6i 3.62656 1.17834i
\(477\) −7.91938e6 2.71966e6i −1.59366 0.547292i
\(478\) −2.24767e6 1.63302e6i −0.449948 0.326906i
\(479\) 6.88666e6 + 5.00345e6i 1.37142 + 0.996394i 0.997625 + 0.0688818i \(0.0219431\pi\)
0.373794 + 0.927512i \(0.378057\pi\)
\(480\) 673554. 2.01576e6i 0.133435 0.399334i
\(481\) 1.17215e6 380856.i 0.231005 0.0750582i
\(482\) −4.59700e6 6.32723e6i −0.901274 1.24050i
\(483\) 6796.36 816833.i 0.00132559 0.159318i
\(484\) 9.29834e6 + 3.20157e6i 1.80423 + 0.621226i
\(485\) 9.22179e6i 1.78017i
\(486\) 4.91611e6 + 7.39474e6i 0.944128 + 1.42014i
\(487\) −1.58932e6 4.89141e6i −0.303660 0.934570i −0.980174 0.198140i \(-0.936510\pi\)
0.676514 0.736430i \(-0.263490\pi\)
\(488\) −1.42595e6 463320.i −0.271054 0.0880708i
\(489\) −4.92497e6 + 6.66138e6i −0.931390 + 1.25977i
\(490\) 1.53918e6 2.11850e6i 0.289601 0.398601i
\(491\) 1.50489e6 4.63159e6i 0.281710 0.867014i −0.705655 0.708555i \(-0.749347\pi\)
0.987366 0.158459i \(-0.0506527\pi\)
\(492\) 1.25347e7 3.95777e6i 2.33453 0.737119i
\(493\) 8.12087e6 5.90016e6i 1.50482 1.09332i
\(494\) −144193. −0.0265844
\(495\) 5.56815e6 5.29264e6i 1.02141 0.970866i
\(496\) 2.86716e6 0.523296
\(497\) 4.07033e6 2.95727e6i 0.739160 0.537031i
\(498\) 3.99173e6 1.26037e6i 0.721253 0.227733i
\(499\) 632176. 1.94564e6i 0.113654 0.349792i −0.878010 0.478643i \(-0.841129\pi\)
0.991664 + 0.128851i \(0.0411288\pi\)
\(500\) −125019. + 172074.i −0.0223640 + 0.0307815i
\(501\) −2.78533e6 + 3.76736e6i −0.495772 + 0.670568i
\(502\) −1.28633e7 4.17953e6i −2.27820 0.740233i
\(503\) 1.03222e6 + 3.17686e6i 0.181909 + 0.559858i 0.999881 0.0153990i \(-0.00490186\pi\)
−0.817972 + 0.575257i \(0.804902\pi\)
\(504\) −5.56742e6 7.93735e6i −0.976287 1.39187i
\(505\) 9.94572e6i 1.73543i
\(506\) −235270. + 1.40596e6i −0.0408499 + 0.244117i
\(507\) 45311.6 5.44586e6i 0.00782870 0.940907i
\(508\) −3.88278e6 5.34418e6i −0.667549 0.918803i
\(509\) −9.55129e6 + 3.10340e6i −1.63406 + 0.530938i −0.975199 0.221329i \(-0.928960\pi\)
−0.658859 + 0.752267i \(0.728960\pi\)
\(510\) −8.14384e6 + 2.43723e7i −1.38645 + 4.14926i
\(511\) 5.53089e6 + 4.01843e6i 0.937007 + 0.680776i
\(512\) 6.49861e6 + 4.72152e6i 1.09558 + 0.795989i
\(513\) −127191. + 360574.i −0.0213385 + 0.0604924i
\(514\) 648315. 210650.i 0.108238 0.0351685i
\(515\) −1.66984e6 2.29833e6i −0.277432 0.381852i
\(516\) 465396. + 3872.27i 0.0769482 + 0.000640238i
\(517\) −3.98660e6 2.07527e6i −0.655958 0.341466i
\(518\) 1.14261e7i 1.87101i
\(519\) 2.65848e6 + 3.72384e6i 0.433226 + 0.606839i
\(520\) 1.01064e6 + 3.11044e6i 0.163904 + 0.504444i
\(521\) −2.09883e6 681951.i −0.338753 0.110067i 0.134701 0.990886i \(-0.456993\pi\)
−0.473453 + 0.880819i \(0.656993\pi\)
\(522\) −8.66878e6 6.52135e6i −1.39246 1.04752i
\(523\) −5.02488e6 + 6.91615e6i −0.803288 + 1.10563i 0.189036 + 0.981970i \(0.439464\pi\)
−0.992325 + 0.123661i \(0.960536\pi\)
\(524\) 3.59599e6 1.10673e7i 0.572124 1.76082i
\(525\) 2.05782e6 + 6.51734e6i 0.325844 + 1.03198i
\(526\) −6.97636e6 + 5.06863e6i −1.09942 + 0.798778i
\(527\) 8.28611e6 1.29964
\(528\) 2.06009e6 + 4.21941e6i 0.321590 + 0.658669i
\(529\) 6.30076e6 0.978935
\(530\) −2.11853e7 + 1.53920e7i −3.27601 + 2.38016i
\(531\) 3.64122e6 1.11647e6i 0.560416 0.171835i
\(532\) 271048. 834200.i 0.0415209 0.127788i
\(533\) 1.20199e6 1.65440e6i 0.183267 0.252245i
\(534\) 1.23331e7 + 9.11829e6i 1.87163 + 1.38376i
\(535\) 8.84211e6 + 2.87298e6i 1.33558 + 0.433958i
\(536\) 1.41348e6 + 4.35025e6i 0.212509 + 0.654037i
\(537\) −315620. + 225323.i −0.0472312 + 0.0337187i
\(538\) 3.80655e6i 0.566991i
\(539\) −204402. 1.36764e6i −0.0303049 0.202768i
\(540\) 1.82156e7 + 454765.i 2.68818 + 0.0671124i
\(541\) −5.07549e6 6.98581e6i −0.745563 1.02618i −0.998279 0.0586393i \(-0.981324\pi\)
0.252716 0.967541i \(-0.418676\pi\)
\(542\) −1.06357e7 + 3.45575e6i −1.55514 + 0.505294i
\(543\) −5.16692e6 1.72649e6i −0.752025 0.251284i
\(544\) 3.03720e6 + 2.20665e6i 0.440024 + 0.319696i
\(545\) 1.06672e7 + 7.75021e6i 1.53837 + 1.11769i
\(546\) −3.00576e6 1.00435e6i −0.431492 0.144180i
\(547\) 4.96333e6 1.61269e6i 0.709260 0.230452i 0.0678993 0.997692i \(-0.478370\pi\)
0.641360 + 0.767240i \(0.278370\pi\)
\(548\) −5.21806e6 7.18204e6i −0.742263 1.02164i
\(549\) −21624.1 + 1.29938e6i −0.00306202 + 0.183994i
\(550\) −1.76297e6 1.17959e7i −0.248507 1.66274i
\(551\) 467092.i 0.0655426i
\(552\) −1.30971e6 + 935013.i −0.182948 + 0.130608i
\(553\) −2.01796e6 6.21065e6i −0.280608 0.863624i
\(554\) 7.42670e6 + 2.41308e6i 1.02807 + 0.334039i
\(555\) −8.21831e6 6.07606e6i −1.13253 0.837316i
\(556\) −3.99034e6 + 5.49223e6i −0.547422 + 0.753462i
\(557\) −121684. + 374506.i −0.0166187 + 0.0511471i −0.959022 0.283332i \(-0.908560\pi\)
0.942403 + 0.334479i \(0.108560\pi\)
\(558\) −2.62505e6 8.56126e6i −0.356905 1.16400i
\(559\) 58577.3 42558.9i 0.00792866 0.00576051i
\(560\) −8.41463e6 −1.13387
\(561\) 5.95369e6 + 1.21941e7i 0.798692 + 1.63585i
\(562\) 1.48655e7 1.98536
\(563\) −4.99944e6 + 3.63230e6i −0.664737 + 0.482960i −0.868259 0.496110i \(-0.834761\pi\)
0.203522 + 0.979070i \(0.434761\pi\)
\(564\) −3.20971e6 1.01655e7i −0.424881 1.34564i
\(565\) 2.42622e6 7.46714e6i 0.319749 0.984087i
\(566\) 5.70979e6 7.85885e6i 0.749167 1.03114i
\(567\) −5.16287e6 + 6.63037e6i −0.674425 + 0.866124i
\(568\) −9.42640e6 3.06282e6i −1.22596 0.398338i
\(569\) −2.39032e6 7.35665e6i −0.309511 0.952576i −0.977955 0.208814i \(-0.933040\pi\)
0.668445 0.743762i \(-0.266960\pi\)
\(570\) 694768. + 973192.i 0.0895680 + 0.125462i
\(571\) 1.63998e6i 0.210498i −0.994446 0.105249i \(-0.966436\pi\)
0.994446 0.105249i \(-0.0335640\pi\)
\(572\) 3.21876e6 + 1.67556e6i 0.411338 + 0.214127i
\(573\) −8.74179e6 72735.0i −1.11228 0.00925459i
\(574\) 1.11435e7 + 1.53378e7i 1.41170 + 1.94304i
\(575\) 1.07887e6 350547.i 0.136082 0.0442157i
\(576\) 3.21342e6 9.35716e6i 0.403563 1.17514i
\(577\) 7.14471e6 + 5.19093e6i 0.893398 + 0.649091i 0.936762 0.349968i \(-0.113808\pi\)
−0.0433639 + 0.999059i \(0.513808\pi\)
\(578\) −2.56411e7 1.86294e7i −3.19240 2.31942i
\(579\) 2.23914e6 6.70112e6i 0.277577 0.830714i
\(580\) −2.11703e7 + 6.87864e6i −2.61310 + 0.849049i
\(581\) 2.32846e6 + 3.20485e6i 0.286173 + 0.393883i
\(582\) 146465. 1.76032e7i 0.0179236 2.15419i
\(583\) −2.28229e6 + 1.36389e7i −0.278099 + 1.66191i
\(584\) 1.34681e7i 1.63408i
\(585\) 2.32075e6 1.62782e6i 0.280375 0.196660i
\(586\) −1.57767e6 4.85558e6i −0.189790 0.584114i
\(587\) 1.36729e7 + 4.44260e6i 1.63782 + 0.532160i 0.976050 0.217547i \(-0.0698055\pi\)
0.661770 + 0.749707i \(0.269806\pi\)
\(588\) 1.94989e6 2.63736e6i 0.232577 0.314577i
\(589\) 226635. 311936.i 0.0269178 0.0370491i
\(590\) 3.68060e6 1.13277e7i 0.435300 1.33972i
\(591\) 2.99752e6 946455.i 0.353015 0.111463i
\(592\) 5.05386e6 3.67185e6i 0.592679 0.430606i
\(593\) 7.18599e6 0.839170 0.419585 0.907716i \(-0.362176\pi\)
0.419585 + 0.907716i \(0.362176\pi\)
\(594\) 1.07129e7 1.00145e7i 1.24578 1.16457i
\(595\) −2.43183e7 −2.81606
\(596\) 1.20397e7 8.74733e6i 1.38835 1.00870i
\(597\) 2.74616e6 867089.i 0.315348 0.0995699i
\(598\) −162547. + 500268.i −0.0185877 + 0.0572070i
\(599\) −9.58200e6 + 1.31885e7i −1.09116 + 1.50185i −0.244554 + 0.969636i \(0.578642\pi\)
−0.846607 + 0.532219i \(0.821358\pi\)
\(600\) 8.00430e6 1.08264e7i 0.907706 1.22774i
\(601\) −3.46423e6 1.12560e6i −0.391220 0.127115i 0.106800 0.994280i \(-0.465939\pi\)
−0.498020 + 0.867166i \(0.665939\pi\)
\(602\) 207432. + 638409.i 0.0233283 + 0.0717972i
\(603\) 3.24580e6 2.27666e6i 0.363520 0.254980i
\(604\) 6.37365e6i 0.710880i
\(605\) −1.01324e7 7.63518e6i −1.12545 0.848068i
\(606\) −157963. + 1.89851e7i −0.0174732 + 2.10005i
\(607\) 5.92564e6 + 8.15595e6i 0.652775 + 0.898468i 0.999215 0.0396038i \(-0.0126096\pi\)
−0.346440 + 0.938072i \(0.612610\pi\)
\(608\) 166142. 53982.8i 0.0182272 0.00592239i
\(609\) 3.25346e6 9.73672e6i 0.355469 1.06382i
\(610\) 3.28799e6 + 2.38887e6i 0.357772 + 0.259937i
\(611\) −1.34170e6 974801.i −0.145396 0.105636i
\(612\) −1.04541e7 + 3.04412e7i −1.12825 + 3.28536i
\(613\) 5437.53 1766.76i 0.000584455 0.000189901i −0.308725 0.951151i \(-0.599902\pi\)
0.309309 + 0.950962i \(0.399902\pi\)
\(614\) 1.06687e7 + 1.46843e7i 1.14207 + 1.57192i
\(615\) −1.69575e7 141093.i −1.80790 0.0150424i
\(616\) −1.14202e7 + 1.12227e7i −1.21261 + 1.19164i
\(617\) 1.27930e7i 1.35288i −0.736499 0.676439i \(-0.763522\pi\)
0.736499 0.676439i \(-0.236478\pi\)
\(618\) −3.15099e6 4.41373e6i −0.331876 0.464874i
\(619\) −2.21867e6 6.82835e6i −0.232737 0.716291i −0.997414 0.0718763i \(-0.977101\pi\)
0.764677 0.644414i \(-0.222899\pi\)
\(620\) −1.74756e7 5.67817e6i −1.82580 0.593238i
\(621\) 1.10761e6 + 847752.i 0.115254 + 0.0882144i
\(622\) 1.63074e7 2.24452e7i 1.69008 2.32620i
\(623\) −4.48539e6 + 1.38046e7i −0.462999 + 1.42496i
\(624\) 521682. + 1.65222e6i 0.0536345 + 0.169866i
\(625\) 8.01076e6 5.82016e6i 0.820302 0.595984i
\(626\) 1.18327e7 1.20684
\(627\) 621898. + 109394.i 0.0631757 + 0.0111128i
\(628\) 4.89453e6 0.495235
\(629\) 1.46057e7 1.06117e7i 1.47196 1.06944i
\(630\) 7.70409e6 + 2.51259e7i 0.773339 + 2.52214i
\(631\) −1.51725e6 + 4.66961e6i −0.151699 + 0.466882i −0.997812 0.0661226i \(-0.978937\pi\)
0.846112 + 0.533005i \(0.178937\pi\)
\(632\) −7.56167e6 + 1.04077e7i −0.753052 + 1.03649i
\(633\) −5.84052e6 4.31808e6i −0.579351 0.428333i
\(634\) 2.93781e7 + 9.54553e6i 2.90269 + 0.943142i
\(635\) 2.63351e6 + 8.10510e6i 0.259179 + 0.797671i
\(636\) −2.66948e7 + 1.90576e7i −2.61688 + 1.86821i
\(637\) 510263.i 0.0498248i
\(638\) −8.27219e6 + 1.58909e7i −0.804579 + 1.54560i
\(639\) −142948. + 8.58966e6i −0.0138493 + 0.832192i
\(640\) −1.56221e7 2.15020e7i −1.50761 2.07505i
\(641\) 1.79109e6 581960.i 0.172176 0.0559433i −0.221660 0.975124i \(-0.571148\pi\)
0.393836 + 0.919181i \(0.371148\pi\)
\(642\) 1.68328e7 + 5.62456e6i 1.61183 + 0.538581i
\(643\) −4.08027e6 2.96449e6i −0.389190 0.282763i 0.375934 0.926647i \(-0.377322\pi\)
−0.765123 + 0.643884i \(0.777322\pi\)
\(644\) −2.58865e6 1.88076e6i −0.245957 0.178698i
\(645\) −569484. 190289.i −0.0538992 0.0180101i
\(646\) −2.00880e6 + 652699.i −0.189389 + 0.0615363i
\(647\) −6.04276e6 8.31714e6i −0.567511 0.781112i 0.424746 0.905313i \(-0.360363\pi\)
−0.992257 + 0.124200i \(0.960363\pi\)
\(648\) 1.65456e7 + 550853.i 1.54791 + 0.0515345i
\(649\) −2.80650e6 5.62891e6i −0.261550 0.524581i
\(650\) 4.40103e6i 0.408574i
\(651\) 6.89704e6 4.92384e6i 0.637838 0.455357i
\(652\) 1.00278e7 + 3.08623e7i 0.923815 + 2.84321i
\(653\) −774635. 251694.i −0.0710909 0.0230988i 0.273256 0.961941i \(-0.411900\pi\)
−0.344347 + 0.938843i \(0.611900\pi\)
\(654\) 2.02393e7 + 1.49635e7i 1.85034 + 1.36801i
\(655\) −8.82435e6 + 1.21457e7i −0.803673 + 1.10616i
\(656\) 3.20297e6 9.85772e6i 0.290598 0.894369i
\(657\) −1.11607e7 + 3.42208e6i −1.00873 + 0.309298i
\(658\) 1.24387e7 9.03727e6i 1.11998 0.813716i
\(659\) −1.79389e7 −1.60910 −0.804550 0.593885i \(-0.797593\pi\)
−0.804550 + 0.593885i \(0.797593\pi\)
\(660\) −4.20028e6 2.97976e7i −0.375334 2.66269i
\(661\) −8.13223e6 −0.723945 −0.361973 0.932189i \(-0.617897\pi\)
−0.361973 + 0.932189i \(0.617897\pi\)
\(662\) 251258. 182550.i 0.0222831 0.0161896i
\(663\) 1.50767e6 + 4.77494e6i 0.133205 + 0.421875i
\(664\) 2.41157e6 7.42206e6i 0.212266 0.653287i
\(665\) −665136. + 915481.i −0.0583252 + 0.0802778i
\(666\) −1.55912e7 1.17289e7i −1.36205 1.02464i
\(667\) −1.62054e6 526547.i −0.141041 0.0458271i
\(668\) 5.67123e6 + 1.74543e7i 0.491741 + 1.51342i
\(669\) −759328. 1.06362e6i −0.0655940 0.0918804i
\(670\) 1.23989e7i 1.06708i
\(671\) 2.12263e6 317239.i 0.181998 0.0272007i
\(672\) 3.83930e6 + 31944.5i 0.327966 + 0.00272880i
\(673\) 4.88424e6 + 6.72258e6i 0.415680 + 0.572135i 0.964592 0.263745i \(-0.0849579\pi\)
−0.548912 + 0.835880i \(0.684958\pi\)
\(674\) 5.26029e6 1.70917e6i 0.446026 0.144923i
\(675\) −1.10054e7 3.88211e6i −0.929704 0.327950i
\(676\) −1.72586e7 1.25391e7i −1.45258 1.05536i
\(677\) −1.05292e7 7.64994e6i −0.882928 0.641485i 0.0510967 0.998694i \(-0.483728\pi\)
−0.934024 + 0.357209i \(0.883728\pi\)
\(678\) 4.74993e6 1.42153e7i 0.396838 1.18763i
\(679\) 1.58440e7 5.14803e6i 1.31884 0.428516i
\(680\) 2.81592e7 + 3.87578e7i 2.33533 + 3.21431i
\(681\) −80120.1 + 9.62938e6i −0.00662024 + 0.795665i
\(682\) −1.32347e7 + 6.59868e6i −1.08957 + 0.543245i
\(683\) 3.49835e6i 0.286953i 0.989654 + 0.143477i \(0.0458282\pi\)
−0.989654 + 0.143477i \(0.954172\pi\)
\(684\) 860048. + 1.22615e6i 0.0702882 + 0.100209i
\(685\) 3.53916e6 + 1.08924e7i 0.288187 + 0.886948i
\(686\) −1.74454e7 5.66835e6i −1.41537 0.459882i
\(687\) 1.35100e7 1.82732e7i 1.09210 1.47715i
\(688\) 215713. 296904.i 0.0173743 0.0239136i
\(689\) −1.57682e6 + 4.85296e6i −0.126542 + 0.389456i
\(690\) 4.15963e6 1.31338e6i 0.332607 0.105019i
\(691\) −1.51767e7 + 1.10265e7i −1.20915 + 0.878500i −0.995154 0.0983336i \(-0.968649\pi\)
−0.213999 + 0.976834i \(0.568649\pi\)
\(692\) 1.79225e7 1.42277
\(693\) 1.22017e7 + 6.61208e6i 0.965136 + 0.523004i
\(694\) −2.72603e7 −2.14848
\(695\) 7.08559e6 5.14799e6i 0.556435 0.404274i
\(696\) −1.92854e7 + 6.08928e6i −1.50906 + 0.476478i
\(697\) 9.25660e6 2.84889e7i 0.721722 2.22123i
\(698\) 1.35126e7 1.85985e7i 1.04978 1.44490i
\(699\) 1.86487e6 2.52237e6i 0.144363 0.195261i
\(700\) 2.54613e7 + 8.27287e6i 1.96397 + 0.638133i
\(701\) −4.17606e6 1.28526e7i −0.320976 0.987861i −0.973225 0.229856i \(-0.926174\pi\)
0.652249 0.758005i \(-0.273826\pi\)
\(702\) 4.45586e6 3.07044e6i 0.341263 0.235157i
\(703\) 840084.i 0.0641113i
\(704\) −1.61150e7 2.69665e6i −1.22546 0.205066i
\(705\) −114425. + 1.37523e7i −0.00867056 + 1.04209i
\(706\) 6.84336e6 + 9.41908e6i 0.516723 + 0.711208i
\(707\) −1.70878e7 + 5.55217e6i −1.28570 + 0.417748i
\(708\) 4.72796e6 1.41495e7i 0.354479 1.06086i
\(709\) −1.63382e7 1.18704e7i −1.22064 0.886848i −0.224489 0.974477i \(-0.572071\pi\)
−0.996153 + 0.0876282i \(0.972071\pi\)
\(710\) 2.17356e7 + 1.57918e7i 1.61818 + 1.17567i
\(711\) 1.05460e7 + 3.62168e6i 0.782371 + 0.268681i
\(712\) 2.71952e7 8.83625e6i 2.01044 0.653233i
\(713\) −826759. 1.13794e6i −0.0609053 0.0838290i
\(714\) −4.64205e7 386236.i −3.40772 0.0283535i
\(715\) −3.28134e6 3.33908e6i −0.240041 0.244265i
\(716\) 1.51905e6i 0.110736i
\(717\) 2.60851e6 + 3.65385e6i 0.189494 + 0.265432i
\(718\) −9.96898e6 3.06814e7i −0.721672 2.22108i
\(719\) 2.25478e7 + 7.32622e6i 1.62660 + 0.528516i 0.973487 0.228742i \(-0.0734612\pi\)
0.653116 + 0.757257i \(0.273461\pi\)
\(720\) 8.63760e6 1.14819e7i 0.620957 0.825433i
\(721\) 3.01660e6 4.15200e6i 0.216112 0.297453i
\(722\) 7.35099e6 2.26240e7i 0.524811 1.61520i
\(723\) 3.80517e6 + 1.20514e7i 0.270725 + 0.857415i
\(724\) −1.72640e7 + 1.25430e7i −1.22404 + 0.889316i
\(725\) 1.42565e7 1.00732
\(726\) −1.92202e7 1.47355e7i −1.35337 1.03758i
\(727\) 2.48951e7 1.74694 0.873471 0.486877i \(-0.161864\pi\)
0.873471 + 0.486877i \(0.161864\pi\)
\(728\) −4.77988e6 + 3.47279e6i −0.334263 + 0.242856i
\(729\) −3.74756e6 1.38509e7i −0.261174 0.965292i
\(730\) −1.12814e7 + 3.47205e7i −0.783529 + 2.41145i
\(731\) 623414. 858056.i 0.0431502 0.0593912i
\(732\) 4.09328e6 + 3.02630e6i 0.282354 + 0.208753i
\(733\) 8.39624e6 + 2.72810e6i 0.577198 + 0.187543i 0.583045 0.812440i \(-0.301861\pi\)
−0.00584704 + 0.999983i \(0.501861\pi\)
\(734\) −1.51129e6 4.65126e6i −0.103540 0.318662i
\(735\) −3.44388e6 + 2.45861e6i −0.235142 + 0.167869i
\(736\) 637273.i 0.0433641i
\(737\) −4.58927e6 4.67003e6i −0.311225 0.316702i
\(738\) −3.23674e7 538655.i −2.18760 0.0364058i
\(739\) −1.52259e7 2.09566e7i −1.02558 1.41159i −0.908214 0.418506i \(-0.862554\pi\)
−0.117370 0.993088i \(-0.537446\pi\)
\(740\) −3.80756e7 + 1.23715e7i −2.55604 + 0.830507i
\(741\) 220992. + 73843.1i 0.0147853 + 0.00494043i
\(742\) −3.82718e7 2.78061e7i −2.55193 1.85409i
\(743\) 945364. + 686847.i 0.0628242 + 0.0456444i 0.618754 0.785585i \(-0.287638\pi\)
−0.555930 + 0.831229i \(0.687638\pi\)
\(744\) −1.58338e7 5.29077e6i −1.04871 0.350418i
\(745\) −1.82596e7 + 5.93290e6i −1.20532 + 0.391631i
\(746\) 7.15693e6 + 9.85067e6i 0.470847 + 0.648065i
\(747\) −6.76323e6 112553.i −0.443458 0.00737999i
\(748\) 5.24262e7 + 8.77287e6i 3.42606 + 0.573308i
\(749\) 1.67955e7i 1.09393i
\(750\) 426320. 304352.i 0.0276747 0.0197571i
\(751\) 7.50497e6 + 2.30979e7i 0.485567 + 1.49442i 0.831158 + 0.556036i \(0.187678\pi\)
−0.345591 + 0.938385i \(0.612322\pi\)
\(752\) −7.99449e6 2.59757e6i −0.515521 0.167503i
\(753\) 1.75740e7 + 1.29931e7i 1.12949 + 0.835072i
\(754\) −3.88565e6 + 5.34813e6i −0.248906 + 0.342589i
\(755\) 2.54097e6 7.82029e6i 0.162230 0.499293i
\(756\) 9.38745e6 + 3.15502e7i 0.597370 + 2.00769i
\(757\) −3.78809e6 + 2.75221e6i −0.240260 + 0.174559i −0.701399 0.712769i \(-0.747441\pi\)
0.461139 + 0.887328i \(0.347441\pi\)
\(758\) 4.62983e7 2.92679
\(759\) 1.08059e6 2.03431e6i 0.0680858 0.128178i
\(760\) 2.22925e6 0.139999
\(761\) −2.44739e7 + 1.77814e7i −1.53194 + 1.11302i −0.576795 + 0.816889i \(0.695697\pi\)
−0.955147 + 0.296132i \(0.904303\pi\)
\(762\) 4.89828e6 + 1.55134e7i 0.305602 + 0.967874i
\(763\) −7.36073e6 + 2.26540e7i −0.457730 + 1.40875i
\(764\) −2.01280e7 + 2.77039e7i −1.24758 + 1.71715i
\(765\) 2.49627e7 3.31828e7i 1.54219 2.05002i
\(766\) 2.32982e7 + 7.57003e6i 1.43466 + 0.466150i
\(767\) −717202. 2.20732e6i −0.0440203 0.135481i
\(768\) −1.76785e7 2.47630e7i −1.08154 1.51496i