Properties

Label 43.6.g.a.9.15
Level 43
Weight 6
Character 43.9
Analytic conductor 6.897
Analytic rank 0
Dimension 204
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(17\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.15
Character \(\chi\) \(=\) 43.9
Dual form 43.6.g.a.24.15

$q$-expansion

\(f(q)\) \(=\) \(q+(5.30682 + 6.65454i) q^{2} +(23.7101 + 3.57372i) q^{3} +(-8.99992 + 39.4312i) q^{4} +(-24.4442 - 16.6658i) q^{5} +(102.044 + 176.745i) q^{6} +(-48.7498 + 84.4371i) q^{7} +(-64.7633 + 31.1883i) q^{8} +(317.192 + 97.8407i) q^{9} +O(q^{10})\) \(q+(5.30682 + 6.65454i) q^{2} +(23.7101 + 3.57372i) q^{3} +(-8.99992 + 39.4312i) q^{4} +(-24.4442 - 16.6658i) q^{5} +(102.044 + 176.745i) q^{6} +(-48.7498 + 84.4371i) q^{7} +(-64.7633 + 31.1883i) q^{8} +(317.192 + 97.8407i) q^{9} +(-18.8179 - 251.108i) q^{10} +(0.448656 + 1.96569i) q^{11} +(-354.305 + 902.754i) q^{12} +(62.1741 - 829.656i) q^{13} +(-820.596 + 123.685i) q^{14} +(-520.016 - 482.504i) q^{15} +(614.847 + 296.095i) q^{16} +(763.227 - 520.359i) q^{17} +(1032.19 + 2629.99i) q^{18} +(-2527.76 + 779.712i) q^{19} +(877.149 - 813.875i) q^{20} +(-1457.61 + 1827.79i) q^{21} +(-10.6998 + 13.4172i) q^{22} +(144.703 - 134.265i) q^{23} +(-1647.00 + 508.032i) q^{24} +(-821.919 - 2094.22i) q^{25} +(5850.93 - 3989.10i) q^{26} +(1921.38 + 925.286i) q^{27} +(-2890.71 - 2682.19i) q^{28} +(2514.55 - 379.008i) q^{29} +(451.214 - 6021.03i) q^{30} +(2237.39 - 5700.79i) q^{31} +(1804.35 + 7905.39i) q^{32} +(3.61284 + 48.2100i) q^{33} +(7513.06 + 2317.47i) q^{34} +(2598.86 - 1251.55i) q^{35} +(-6712.68 + 11626.7i) q^{36} +(5029.16 + 8710.76i) q^{37} +(-18603.0 - 12683.3i) q^{38} +(4439.11 - 19449.0i) q^{39} +(2102.87 + 316.956i) q^{40} +(-2641.03 - 3311.75i) q^{41} -19898.4 q^{42} +(-11995.2 + 1767.18i) q^{43} -81.5474 q^{44} +(-6122.92 - 7677.89i) q^{45} +(1661.38 + 250.413i) q^{46} +(-3524.83 + 15443.3i) q^{47} +(13519.9 + 9217.71i) q^{48} +(3650.42 + 6322.72i) q^{49} +(9574.27 - 16583.1i) q^{50} +(19955.8 - 9610.20i) q^{51} +(32154.8 + 9918.44i) q^{52} +(1110.84 + 14823.2i) q^{53} +(4039.04 + 17696.2i) q^{54} +(21.7927 - 55.5269i) q^{55} +(523.741 - 6988.84i) q^{56} +(-62719.9 + 9453.51i) q^{57} +(15866.4 + 14721.9i) q^{58} +(-39852.3 - 19191.8i) q^{59} +(23705.8 - 16162.4i) q^{60} +(13022.8 + 33181.6i) q^{61} +(49809.6 - 15364.2i) q^{62} +(-23724.4 + 22013.0i) q^{63} +(-29415.8 + 36886.2i) q^{64} +(-15346.7 + 19244.1i) q^{65} +(-301.643 + 279.883i) q^{66} +(38424.5 - 11852.4i) q^{67} +(13649.4 + 34778.2i) q^{68} +(3910.74 - 2666.30i) q^{69} +(22120.1 + 10652.5i) q^{70} +(-31862.6 - 29564.2i) q^{71} +(-23593.9 + 3556.20i) q^{72} +(-2866.25 + 38247.4i) q^{73} +(-31277.3 + 79693.2i) q^{74} +(-12003.6 - 52591.3i) q^{75} +(-7995.32 - 106690. i) q^{76} +(-187.849 - 57.9437i) q^{77} +(152982. - 73672.2i) q^{78} +(14470.7 - 25064.0i) q^{79} +(-10094.8 - 17484.7i) q^{80} +(-24396.1 - 16633.0i) q^{81} +(8022.69 - 35149.7i) q^{82} +(-64384.3 - 9704.37i) q^{83} +(-58953.6 - 73925.5i) q^{84} -27328.7 q^{85} +(-75416.3 - 70444.7i) q^{86} +60974.7 q^{87} +(-90.3629 - 113.312i) q^{88} +(-138131. - 20819.9i) q^{89} +(18599.7 - 81490.4i) q^{90} +(67022.7 + 45695.3i) q^{91} +(3991.90 + 6914.18i) q^{92} +(73421.8 - 127170. i) q^{93} +(-121474. + 58498.6i) q^{94} +(74783.8 + 23067.7i) q^{95} +(14529.7 + 193886. i) q^{96} +(-11225.8 - 49183.5i) q^{97} +(-22702.7 + 57845.4i) q^{98} +(-50.0145 + 667.397i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 468q^{4} - 85q^{5} - 22q^{6} + 454q^{7} + 698q^{8} - 333q^{9} + O(q^{10}) \) \( 204q - 468q^{4} - 85q^{5} - 22q^{6} + 454q^{7} + 698q^{8} - 333q^{9} + 303q^{10} - 1340q^{11} + 858q^{12} + 814q^{13} + 1202q^{14} - 2083q^{15} - 6248q^{16} - 214q^{17} - 174q^{18} - 246q^{19} - 17139q^{20} + 3007q^{21} + 2118q^{22} + 3192q^{23} + 15880q^{24} + 3652q^{25} - 1237q^{26} + 108q^{27} - 6780q^{28} - 18827q^{29} + 98080q^{30} - 43196q^{31} - 3930q^{32} + 28181q^{33} + 45155q^{34} + 33275q^{35} - 49399q^{36} + 34607q^{37} - 43374q^{38} + 15155q^{39} - 108727q^{40} + 7156q^{41} - 48066q^{42} - 176452q^{43} + 26068q^{44} - 96386q^{45} - 27185q^{46} + 20402q^{47} + 198899q^{48} - 158742q^{49} + 186243q^{50} + 98589q^{51} + 278918q^{52} + 14102q^{53} + 270894q^{54} - 334770q^{55} + 61999q^{56} - 202490q^{57} + 213658q^{58} - 43753q^{59} - 389005q^{60} + 80516q^{61} + 162349q^{62} - 75177q^{63} - 489850q^{64} + 93726q^{65} + 246095q^{66} - 322922q^{67} + 475089q^{68} - 397079q^{69} - 614985q^{70} - 233345q^{71} + 379655q^{72} + 159391q^{73} + 695938q^{74} + 344081q^{75} - 50808q^{76} + 608177q^{77} + 605548q^{78} - 272109q^{79} + 601054q^{80} + 193536q^{81} - 996896q^{82} + 177813q^{83} - 919009q^{84} - 844524q^{85} - 876752q^{86} - 188214q^{87} - 59998q^{88} - 469041q^{89} - 453431q^{90} - 223189q^{91} - 94922q^{92} + 569174q^{93} + 1175168q^{94} + 435689q^{95} + 1557688q^{96} + 643751q^{97} + 886196q^{98} + 1422581q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 5.30682 + 6.65454i 0.938122 + 1.17637i 0.984134 + 0.177427i \(0.0567774\pi\)
−0.0460118 + 0.998941i \(0.514651\pi\)
\(3\) 23.7101 + 3.57372i 1.52100 + 0.229254i 0.855760 0.517374i \(-0.173090\pi\)
0.665242 + 0.746628i \(0.268328\pi\)
\(4\) −8.99992 + 39.4312i −0.281248 + 1.23223i
\(5\) −24.4442 16.6658i −0.437272 0.298127i 0.324604 0.945850i \(-0.394769\pi\)
−0.761876 + 0.647723i \(0.775721\pi\)
\(6\) 102.044 + 176.745i 1.15720 + 2.00433i
\(7\) −48.7498 + 84.4371i −0.376034 + 0.651310i −0.990481 0.137648i \(-0.956046\pi\)
0.614447 + 0.788958i \(0.289379\pi\)
\(8\) −64.7633 + 31.1883i −0.357770 + 0.172293i
\(9\) 317.192 + 97.8407i 1.30532 + 0.402637i
\(10\) −18.8179 251.108i −0.0595075 0.794072i
\(11\) 0.448656 + 1.96569i 0.00111797 + 0.00489816i 0.975484 0.220071i \(-0.0706290\pi\)
−0.974366 + 0.224969i \(0.927772\pi\)
\(12\) −354.305 + 902.754i −0.710271 + 1.80974i
\(13\) 62.1741 829.656i 0.102036 1.36157i −0.677644 0.735390i \(-0.736999\pi\)
0.779679 0.626179i \(-0.215382\pi\)
\(14\) −820.596 + 123.685i −1.11895 + 0.168654i
\(15\) −520.016 482.504i −0.596744 0.553698i
\(16\) 614.847 + 296.095i 0.600436 + 0.289155i
\(17\) 763.227 520.359i 0.640518 0.436698i −0.199022 0.979995i \(-0.563777\pi\)
0.839541 + 0.543297i \(0.182824\pi\)
\(18\) 1032.19 + 2629.99i 0.750897 + 1.91325i
\(19\) −2527.76 + 779.712i −1.60640 + 0.495507i −0.962881 0.269926i \(-0.913001\pi\)
−0.643515 + 0.765434i \(0.722524\pi\)
\(20\) 877.149 813.875i 0.490341 0.454970i
\(21\) −1457.61 + 1827.79i −0.721264 + 0.904437i
\(22\) −10.6998 + 13.4172i −0.00471324 + 0.00591022i
\(23\) 144.703 134.265i 0.0570371 0.0529227i −0.651139 0.758958i \(-0.725709\pi\)
0.708176 + 0.706036i \(0.249518\pi\)
\(24\) −1647.00 + 508.032i −0.583667 + 0.180038i
\(25\) −821.919 2094.22i −0.263014 0.670149i
\(26\) 5850.93 3989.10i 1.69743 1.15729i
\(27\) 1921.38 + 925.286i 0.507228 + 0.244268i
\(28\) −2890.71 2682.19i −0.696803 0.646539i
\(29\) 2514.55 379.008i 0.555221 0.0836862i 0.134563 0.990905i \(-0.457037\pi\)
0.420659 + 0.907219i \(0.361799\pi\)
\(30\) 451.214 6021.03i 0.0915333 1.22143i
\(31\) 2237.39 5700.79i 0.418156 1.06544i −0.554292 0.832323i \(-0.687011\pi\)
0.972448 0.233122i \(-0.0748940\pi\)
\(32\) 1804.35 + 7905.39i 0.311492 + 1.36474i
\(33\) 3.61284 + 48.2100i 0.000577516 + 0.00770641i
\(34\) 7513.06 + 2317.47i 1.11460 + 0.343809i
\(35\) 2598.86 1251.55i 0.358602 0.172694i
\(36\) −6712.68 + 11626.7i −0.863256 + 1.49520i
\(37\) 5029.16 + 8710.76i 0.603936 + 1.04605i 0.992219 + 0.124508i \(0.0397353\pi\)
−0.388282 + 0.921541i \(0.626931\pi\)
\(38\) −18603.0 12683.3i −2.08989 1.42487i
\(39\) 4439.11 19449.0i 0.467342 2.04756i
\(40\) 2102.87 + 316.956i 0.207808 + 0.0313220i
\(41\) −2641.03 3311.75i −0.245366 0.307679i 0.643864 0.765140i \(-0.277330\pi\)
−0.889230 + 0.457461i \(0.848759\pi\)
\(42\) −19898.4 −1.74058
\(43\) −11995.2 + 1767.18i −0.989321 + 0.145750i
\(44\) −81.5474 −0.00635007
\(45\) −6122.92 7677.89i −0.450741 0.565211i
\(46\) 1661.38 + 250.413i 0.115764 + 0.0174487i
\(47\) −3524.83 + 15443.3i −0.232752 + 1.01975i 0.714594 + 0.699540i \(0.246612\pi\)
−0.947346 + 0.320213i \(0.896246\pi\)
\(48\) 13519.9 + 9217.71i 0.846975 + 0.577458i
\(49\) 3650.42 + 6322.72i 0.217197 + 0.376195i
\(50\) 9574.27 16583.1i 0.541602 0.938083i
\(51\) 19955.8 9610.20i 1.07434 0.517377i
\(52\) 32154.8 + 9918.44i 1.64906 + 0.508669i
\(53\) 1110.84 + 14823.2i 0.0543204 + 0.724855i 0.956171 + 0.292808i \(0.0945896\pi\)
−0.901851 + 0.432047i \(0.857791\pi\)
\(54\) 4039.04 + 17696.2i 0.188493 + 0.825840i
\(55\) 21.7927 55.5269i 0.000971415 0.00247512i
\(56\) 523.741 6988.84i 0.0223176 0.297807i
\(57\) −62719.9 + 9453.51i −2.55693 + 0.385395i
\(58\) 15866.4 + 14721.9i 0.619311 + 0.574637i
\(59\) −39852.3 19191.8i −1.49047 0.717772i −0.501399 0.865216i \(-0.667181\pi\)
−0.989070 + 0.147444i \(0.952895\pi\)
\(60\) 23705.8 16162.4i 0.850113 0.579598i
\(61\) 13022.8 + 33181.6i 0.448105 + 1.14175i 0.959325 + 0.282304i \(0.0910986\pi\)
−0.511220 + 0.859450i \(0.670806\pi\)
\(62\) 49809.6 15364.2i 1.64564 0.507611i
\(63\) −23724.4 + 22013.0i −0.753085 + 0.698761i
\(64\) −29415.8 + 36886.2i −0.897699 + 1.12568i
\(65\) −15346.7 + 19244.1i −0.450538 + 0.564956i
\(66\) −301.643 + 279.883i −0.00852379 + 0.00790892i
\(67\) 38424.5 11852.4i 1.04573 0.322566i 0.276151 0.961114i \(-0.410941\pi\)
0.769582 + 0.638548i \(0.220465\pi\)
\(68\) 13649.4 + 34778.2i 0.357966 + 0.912083i
\(69\) 3910.74 2666.30i 0.0988863 0.0674195i
\(70\) 22120.1 + 10652.5i 0.539564 + 0.259840i
\(71\) −31862.6 29564.2i −0.750129 0.696018i 0.209337 0.977844i \(-0.432870\pi\)
−0.959466 + 0.281826i \(0.909060\pi\)
\(72\) −23593.9 + 3556.20i −0.536374 + 0.0808454i
\(73\) −2866.25 + 38247.4i −0.0629516 + 0.840031i 0.872959 + 0.487793i \(0.162198\pi\)
−0.935911 + 0.352237i \(0.885421\pi\)
\(74\) −31277.3 + 79693.2i −0.663972 + 1.69177i
\(75\) −12003.6 52591.3i −0.246410 1.07959i
\(76\) −7995.32 106690.i −0.158782 2.11880i
\(77\) −187.849 57.9437i −0.00361062 0.00111373i
\(78\) 152982. 73672.2i 2.84710 1.37109i
\(79\) 14470.7 25064.0i 0.260869 0.451838i −0.705604 0.708606i \(-0.749324\pi\)
0.966473 + 0.256768i \(0.0826576\pi\)
\(80\) −10094.8 17484.7i −0.176349 0.305445i
\(81\) −24396.1 16633.0i −0.413150 0.281681i
\(82\) 8022.69 35149.7i 0.131761 0.577280i
\(83\) −64384.3 9704.37i −1.02585 0.154622i −0.385503 0.922706i \(-0.625972\pi\)
−0.640349 + 0.768084i \(0.721210\pi\)
\(84\) −58953.6 73925.5i −0.911617 1.14313i
\(85\) −27328.7 −0.410272
\(86\) −75416.3 70444.7i −1.09956 1.02707i
\(87\) 60974.7 0.863678
\(88\) −90.3629 113.312i −0.00124389 0.00155979i
\(89\) −138131. 20819.9i −1.84849 0.278615i −0.871262 0.490819i \(-0.836698\pi\)
−0.977225 + 0.212204i \(0.931936\pi\)
\(90\) 18599.7 81490.4i 0.242046 1.06047i
\(91\) 67022.7 + 45695.3i 0.848435 + 0.578453i
\(92\) 3991.90 + 6914.18i 0.0491712 + 0.0851670i
\(93\) 73421.8 127170.i 0.880274 1.52468i
\(94\) −121474. + 58498.6i −1.41795 + 0.682850i
\(95\) 74783.8 + 23067.7i 0.850155 + 0.262238i
\(96\) 14529.7 + 193886.i 0.160909 + 2.14718i
\(97\) −11225.8 49183.5i −0.121140 0.530751i −0.998686 0.0512566i \(-0.983677\pi\)
0.877545 0.479494i \(-0.159180\pi\)
\(98\) −22702.7 + 57845.4i −0.238787 + 0.608420i
\(99\) −50.0145 + 667.397i −0.000512871 + 0.00684378i
\(100\) 89974.7 13561.5i 0.899747 0.135615i
\(101\) 146642. + 136064.i 1.43039 + 1.32721i 0.864411 + 0.502786i \(0.167692\pi\)
0.565978 + 0.824421i \(0.308499\pi\)
\(102\) 169853. + 81797.0i 1.61649 + 0.778461i
\(103\) −41079.4 + 28007.4i −0.381532 + 0.260124i −0.738866 0.673853i \(-0.764638\pi\)
0.357334 + 0.933977i \(0.383686\pi\)
\(104\) 21849.0 + 55670.3i 0.198083 + 0.504708i
\(105\) 66091.8 20386.6i 0.585025 0.180456i
\(106\) −92746.3 + 86056.0i −0.801737 + 0.743903i
\(107\) −32642.7 + 40932.7i −0.275630 + 0.345629i −0.900308 0.435253i \(-0.856659\pi\)
0.624678 + 0.780882i \(0.285230\pi\)
\(108\) −53777.4 + 67434.7i −0.443650 + 0.556319i
\(109\) 43168.3 40054.3i 0.348015 0.322911i −0.486725 0.873555i \(-0.661808\pi\)
0.834740 + 0.550645i \(0.185618\pi\)
\(110\) 485.156 149.651i 0.00382296 0.00117923i
\(111\) 88112.0 + 224506.i 0.678777 + 1.72950i
\(112\) −54975.0 + 37481.3i −0.414114 + 0.282338i
\(113\) 151691. + 73050.5i 1.11754 + 0.538180i 0.899132 0.437678i \(-0.144199\pi\)
0.218409 + 0.975857i \(0.429913\pi\)
\(114\) −395752. 367204.i −2.85208 2.64634i
\(115\) −5774.78 + 870.407i −0.0407184 + 0.00613731i
\(116\) −7686.04 + 102563.i −0.0530344 + 0.707695i
\(117\) 100895. 257077.i 0.681406 1.73619i
\(118\) −83775.9 367046.i −0.553878 2.42670i
\(119\) 6730.48 + 89812.0i 0.0435691 + 0.581390i
\(120\) 48726.4 + 15030.1i 0.308895 + 0.0952816i
\(121\) 145098. 69875.6i 0.900946 0.433873i
\(122\) −151699. + 262750.i −0.922745 + 1.59824i
\(123\) −50783.8 87960.0i −0.302665 0.524231i
\(124\) 204653. + 139530.i 1.19526 + 0.814916i
\(125\) −35383.3 + 155024.i −0.202546 + 0.887411i
\(126\) −272388. 41055.9i −1.52849 0.230382i
\(127\) 95398.4 + 119626.i 0.524846 + 0.658136i 0.971630 0.236506i \(-0.0760022\pi\)
−0.446784 + 0.894642i \(0.647431\pi\)
\(128\) −142087. −0.766531
\(129\) −290723. 967.655i −1.53817 0.00511972i
\(130\) −209503. −1.08726
\(131\) −25292.6 31716.0i −0.128770 0.161473i 0.713266 0.700893i \(-0.247215\pi\)
−0.842037 + 0.539420i \(0.818644\pi\)
\(132\) −1933.49 291.427i −0.00965846 0.00145578i
\(133\) 57391.3 251448.i 0.281331 1.23259i
\(134\) 282784. + 192799.i 1.36048 + 0.927561i
\(135\) −31545.9 54639.2i −0.148974 0.258030i
\(136\) −33199.9 + 57504.0i −0.153918 + 0.266594i
\(137\) 357102. 171971.i 1.62551 0.782806i 0.625516 0.780211i \(-0.284888\pi\)
0.999997 0.00259474i \(-0.000825932\pi\)
\(138\) 38496.6 + 11874.6i 0.172078 + 0.0530789i
\(139\) −25667.3 342506.i −0.112679 1.50360i −0.711484 0.702702i \(-0.751977\pi\)
0.598805 0.800895i \(-0.295642\pi\)
\(140\) 25960.4 + 113740.i 0.111942 + 0.490449i
\(141\) −138764. + 353564.i −0.587798 + 1.49769i
\(142\) 27647.0 368923.i 0.115061 1.53538i
\(143\) 1658.74 250.015i 0.00678326 0.00102241i
\(144\) 166054. + 154076.i 0.667335 + 0.619196i
\(145\) −67782.8 32642.5i −0.267732 0.128933i
\(146\) −269730. + 183899.i −1.04724 + 0.713997i
\(147\) 63956.2 + 162958.i 0.244112 + 0.621987i
\(148\) −388738. + 119910.i −1.45882 + 0.449988i
\(149\) 132947. 123357.i 0.490585 0.455196i −0.395671 0.918392i \(-0.629488\pi\)
0.886256 + 0.463196i \(0.153298\pi\)
\(150\) 286270. 358971.i 1.03884 1.30266i
\(151\) −234566. + 294137.i −0.837188 + 1.04980i 0.160837 + 0.986981i \(0.448581\pi\)
−0.998025 + 0.0628191i \(0.979991\pi\)
\(152\) 139388. 129333.i 0.489347 0.454048i
\(153\) 293002. 90379.1i 1.01191 0.312133i
\(154\) −611.291 1557.54i −0.00207705 0.00529223i
\(155\) −149700. + 102063.i −0.500485 + 0.341225i
\(156\) 726947. + 350079.i 2.39161 + 1.15174i
\(157\) 94616.1 + 87790.9i 0.306349 + 0.284250i 0.818332 0.574745i \(-0.194899\pi\)
−0.511984 + 0.858995i \(0.671089\pi\)
\(158\) 243583. 36714.3i 0.776255 0.117002i
\(159\) −26635.6 + 355428.i −0.0835546 + 1.11496i
\(160\) 87643.6 223312.i 0.270658 0.689624i
\(161\) 4282.68 + 18763.7i 0.0130212 + 0.0570496i
\(162\) −18780.9 250613.i −0.0562248 0.750268i
\(163\) 454097. + 140070.i 1.33869 + 0.412931i 0.879708 0.475515i \(-0.157738\pi\)
0.458982 + 0.888446i \(0.348214\pi\)
\(164\) 154355. 74333.6i 0.448138 0.215812i
\(165\) 715.145 1238.67i 0.00204496 0.00354197i
\(166\) −277098. 479947.i −0.780482 1.35183i
\(167\) −502167. 342371.i −1.39334 0.949962i −0.999526 0.0307709i \(-0.990204\pi\)
−0.393812 0.919191i \(-0.628844\pi\)
\(168\) 37394.1 163834.i 0.102219 0.447849i
\(169\) −317318. 47828.0i −0.854629 0.128815i
\(170\) −145029. 181860.i −0.384885 0.482631i
\(171\) −878074. −2.29636
\(172\) 38274.1 488891.i 0.0986470 1.26006i
\(173\) 10619.0 0.0269755 0.0134877 0.999909i \(-0.495707\pi\)
0.0134877 + 0.999909i \(0.495707\pi\)
\(174\) 323582. + 405759.i 0.810235 + 1.01600i
\(175\) 216898. + 32692.1i 0.535377 + 0.0806951i
\(176\) −306.175 + 1341.44i −0.000745055 + 0.00326430i
\(177\) −876314. 597461.i −2.10245 1.43343i
\(178\) −594490. 1.02969e6i −1.40635 2.43588i
\(179\) −151721. + 262789.i −0.353928 + 0.613020i −0.986934 0.161126i \(-0.948487\pi\)
0.633006 + 0.774147i \(0.281821\pi\)
\(180\) 357855. 172334.i 0.823238 0.396450i
\(181\) 447788. + 138124.i 1.01596 + 0.313382i 0.757637 0.652677i \(-0.226354\pi\)
0.258323 + 0.966059i \(0.416830\pi\)
\(182\) 51596.1 + 688503.i 0.115462 + 1.54073i
\(183\) 190190. + 833277.i 0.419817 + 1.83934i
\(184\) −5183.94 + 13208.5i −0.0112880 + 0.0287612i
\(185\) 22237.8 296743.i 0.0477708 0.637457i
\(186\) 1.23590e6 186281.i 2.61939 0.394809i
\(187\) 1365.29 + 1266.80i 0.00285510 + 0.00264914i
\(188\) −577224. 277976.i −1.19110 0.573606i
\(189\) −171795. + 117128.i −0.349829 + 0.238510i
\(190\) 243359. + 620068.i 0.489061 + 1.24611i
\(191\) −132617. + 40907.0i −0.263037 + 0.0811361i −0.423468 0.905911i \(-0.639188\pi\)
0.160432 + 0.987047i \(0.448711\pi\)
\(192\) −829271. + 769451.i −1.62347 + 1.50636i
\(193\) 447060. 560595.i 0.863918 1.08332i −0.131837 0.991271i \(-0.542088\pi\)
0.995755 0.0920470i \(-0.0293410\pi\)
\(194\) 267721. 335711.i 0.510714 0.640415i
\(195\) −432644. + 401435.i −0.814787 + 0.756012i
\(196\) −282166. + 87036.7i −0.524644 + 0.161831i
\(197\) −101605. 258886.i −0.186531 0.475272i 0.806765 0.590872i \(-0.201216\pi\)
−0.993296 + 0.115600i \(0.963121\pi\)
\(198\) −4706.64 + 3208.93i −0.00853194 + 0.00581698i
\(199\) 33919.7 + 16334.9i 0.0607183 + 0.0292404i 0.463996 0.885837i \(-0.346415\pi\)
−0.403278 + 0.915077i \(0.632129\pi\)
\(200\) 118545. + 109994.i 0.209560 + 0.194444i
\(201\) 953404. 143703.i 1.66451 0.250885i
\(202\) −127240. + 1.69790e6i −0.219404 + 2.92775i
\(203\) −90581.6 + 230798.i −0.154277 + 0.393090i
\(204\) 199342. + 873372.i 0.335369 + 1.46935i
\(205\) 9365.05 + 124968.i 0.0155642 + 0.207689i
\(206\) −404377. 124734.i −0.663925 0.204794i
\(207\) 59035.1 28429.8i 0.0957601 0.0461156i
\(208\) 283884. 491702.i 0.454970 0.788032i
\(209\) −2666.77 4618.97i −0.00422298 0.00731442i
\(210\) 486401. + 331623.i 0.761108 + 0.518915i
\(211\) 115216. 504794.i 0.178159 0.780564i −0.804321 0.594195i \(-0.797471\pi\)
0.982480 0.186369i \(-0.0596720\pi\)
\(212\) −594493. 89605.4i −0.908462 0.136929i
\(213\) −649811. 814838.i −0.981382 1.23061i
\(214\) −445617. −0.665162
\(215\) 322666. + 156713.i 0.476054 + 0.231211i
\(216\) −153293. −0.223556
\(217\) 372285. + 466831.i 0.536694 + 0.672993i
\(218\) 495629. + 74704.1i 0.706343 + 0.106464i
\(219\) −204644. + 896606.i −0.288330 + 1.26326i
\(220\) 1993.36 + 1359.05i 0.00277670 + 0.00189313i
\(221\) −384266. 665569.i −0.529239 0.916669i
\(222\) −1.02639e6 + 1.77776e6i −1.39775 + 2.42097i
\(223\) 923100. 444541.i 1.24304 0.598619i 0.307406 0.951579i \(-0.400539\pi\)
0.935638 + 0.352960i \(0.114825\pi\)
\(224\) −755470. 233032.i −1.00600 0.310309i
\(225\) −55806.4 744685.i −0.0734900 0.980655i
\(226\) 318879. + 1.39710e6i 0.415293 + 1.81952i
\(227\) −275744. + 702585.i −0.355175 + 0.904971i 0.635913 + 0.771761i \(0.280624\pi\)
−0.991088 + 0.133210i \(0.957472\pi\)
\(228\) 191711. 2.55820e6i 0.244236 3.25910i
\(229\) 447658. 67473.6i 0.564102 0.0850247i 0.139200 0.990264i \(-0.455547\pi\)
0.424901 + 0.905240i \(0.360309\pi\)
\(230\) −36437.9 33809.4i −0.0454186 0.0421423i
\(231\) −4246.83 2045.17i −0.00523643 0.00252173i
\(232\) −151030. + 102971.i −0.184223 + 0.125601i
\(233\) 337274. + 859360.i 0.406999 + 1.03702i 0.976594 + 0.215091i \(0.0690047\pi\)
−0.569595 + 0.821925i \(0.692900\pi\)
\(234\) 2.24616e6 692849.i 2.68165 0.827178i
\(235\) 343536. 318755.i 0.405791 0.376519i
\(236\) 1.11543e6 1.39870e6i 1.30365 1.63472i
\(237\) 432674. 542556.i 0.500368 0.627442i
\(238\) −561941. + 521405.i −0.643055 + 0.596668i
\(239\) 192149. 59270.0i 0.217592 0.0671182i −0.184043 0.982918i \(-0.558918\pi\)
0.401634 + 0.915800i \(0.368442\pi\)
\(240\) −176863. 450640.i −0.198203 0.505012i
\(241\) 122966. 83836.5i 0.136377 0.0929802i −0.493210 0.869910i \(-0.664177\pi\)
0.629587 + 0.776930i \(0.283224\pi\)
\(242\) 1.23500e6 + 594745.i 1.35559 + 0.652819i
\(243\) −898870. 834029.i −0.976520 0.906078i
\(244\) −1.42559e6 + 214874.i −1.53293 + 0.231052i
\(245\) 16141.3 215391.i 0.0171800 0.229252i
\(246\) 315834. 804731.i 0.332752 0.847838i
\(247\) 489731. + 2.14565e6i 0.510758 + 2.23778i
\(248\) 32897.2 + 438982.i 0.0339648 + 0.453229i
\(249\) −1.49188e6 460183.i −1.52488 0.470362i
\(250\) −1.21939e6 + 587227.i −1.23394 + 0.594232i
\(251\) 374485. 648627.i 0.375189 0.649846i −0.615166 0.788397i \(-0.710911\pi\)
0.990355 + 0.138551i \(0.0442445\pi\)
\(252\) −654483. 1.13360e6i −0.649228 1.12450i
\(253\) 328.844 + 224.202i 0.000322990 + 0.000220211i
\(254\) −289793. + 1.26967e6i −0.281841 + 1.23482i
\(255\) −647965. 97665.1i −0.624024 0.0940565i
\(256\) 187274. + 234835.i 0.178599 + 0.223956i
\(257\) −317895. −0.300228 −0.150114 0.988669i \(-0.547964\pi\)
−0.150114 + 0.988669i \(0.547964\pi\)
\(258\) −1.53638e6 1.93976e6i −1.43697 1.81426i
\(259\) −980682. −0.908403
\(260\) −620701. 778334.i −0.569441 0.714057i
\(261\) 834679. + 125808.i 0.758434 + 0.114316i
\(262\) 76831.8 336622.i 0.0691493 0.302963i
\(263\) −680241. 463780.i −0.606420 0.413450i 0.220807 0.975317i \(-0.429131\pi\)
−0.827227 + 0.561867i \(0.810083\pi\)
\(264\) −1737.57 3009.56i −0.00153438 0.00265762i
\(265\) 219886. 380854.i 0.192346 0.333153i
\(266\) 1.97783e6 952475.i 1.71390 0.825372i
\(267\) −3.20069e6 987283.i −2.74768 0.847547i
\(268\) 121537. + 1.62179e6i 0.103364 + 1.37930i
\(269\) −141800. 621264.i −0.119480 0.523475i −0.998877 0.0473855i \(-0.984911\pi\)
0.879397 0.476089i \(-0.157946\pi\)
\(270\) 196190. 499884.i 0.163783 0.417311i
\(271\) −33631.9 + 448786.i −0.0278181 + 0.371207i 0.965870 + 0.259028i \(0.0834022\pi\)
−0.993688 + 0.112179i \(0.964217\pi\)
\(272\) 623343. 93953.9i 0.510864 0.0770003i
\(273\) 1.42581e6 + 1.32296e6i 1.15786 + 1.07434i
\(274\) 3.03946e6 + 1.46373e6i 2.44580 + 1.17783i
\(275\) 3747.82 2555.22i 0.00298845 0.00203749i
\(276\) 69939.0 + 178202.i 0.0552646 + 0.140812i
\(277\) −83482.0 + 25750.8i −0.0653722 + 0.0201647i −0.327269 0.944931i \(-0.606128\pi\)
0.261897 + 0.965096i \(0.415652\pi\)
\(278\) 2.14301e6 1.98842e6i 1.66308 1.54311i
\(279\) 1.26745e6 1.58934e6i 0.974813 1.22238i
\(280\) −129277. + 162108.i −0.0985431 + 0.123569i
\(281\) −1.15843e6 + 1.07487e6i −0.875194 + 0.812061i −0.983284 0.182080i \(-0.941717\pi\)
0.108090 + 0.994141i \(0.465527\pi\)
\(282\) −3.08920e6 + 952893.i −2.31326 + 0.713545i
\(283\) −571026. 1.45495e6i −0.423828 1.07990i −0.970190 0.242347i \(-0.922083\pi\)
0.546361 0.837550i \(-0.316013\pi\)
\(284\) 1.45251e6 990307.i 1.06862 0.728575i
\(285\) 1.69069e6 + 814194.i 1.23297 + 0.593766i
\(286\) 10466.4 + 9711.37i 0.00756626 + 0.00702046i
\(287\) 408384. 61553.9i 0.292660 0.0441114i
\(288\) −201143. + 2.68406e6i −0.142897 + 1.90683i
\(289\) −206990. + 527403.i −0.145783 + 0.371448i
\(290\) −142490. 624292.i −0.0994926 0.435906i
\(291\) −90396.9 1.20626e6i −0.0625779 0.835045i
\(292\) −1.48235e6 457244.i −1.01740 0.313827i
\(293\) 136988. 65969.9i 0.0932209 0.0448928i −0.386692 0.922209i \(-0.626382\pi\)
0.479913 + 0.877316i \(0.340668\pi\)
\(294\) −745005. + 1.29039e6i −0.502679 + 0.870665i
\(295\) 654311. + 1.13330e6i 0.437753 + 0.758210i
\(296\) −597379. 407286.i −0.396297 0.270191i
\(297\) −956.788 + 4191.96i −0.000629397 + 0.00275757i
\(298\) 1.52641e6 + 230070.i 0.995706 + 0.150079i
\(299\) −102397. 128401.i −0.0662381 0.0830600i
\(300\) 2.18177e6 1.39961
\(301\) 435549. 1.09899e6i 0.277090 0.699162i
\(302\) −3.20214e6 −2.02034
\(303\) 2.99063e6 + 3.75013e6i 1.87136 + 2.34661i
\(304\) −1.78506e6 269054.i −1.10782 0.166977i
\(305\) 234665. 1.02813e6i 0.144444 0.632849i
\(306\) 2.15634e6 + 1.47017e6i 1.31648 + 0.897559i
\(307\) 816165. + 1.41364e6i 0.494233 + 0.856037i 0.999978 0.00664628i \(-0.00211559\pi\)
−0.505745 + 0.862683i \(0.668782\pi\)
\(308\) 3975.41 6885.62i 0.00238784 0.00413586i
\(309\) −1.07408e6 + 517252.i −0.639945 + 0.308181i
\(310\) −1.47361e6 454550.i −0.870923 0.268644i
\(311\) −141327. 1.88588e6i −0.0828561 1.10564i −0.871372 0.490623i \(-0.836769\pi\)
0.788516 0.615015i \(-0.210850\pi\)
\(312\) 319091. + 1.39803e6i 0.185579 + 0.813074i
\(313\) −863011. + 2.19892e6i −0.497915 + 1.26867i 0.432325 + 0.901718i \(0.357693\pi\)
−0.930241 + 0.366950i \(0.880402\pi\)
\(314\) −82097.7 + 1.09552e6i −0.0469901 + 0.627040i
\(315\) 946789. 142706.i 0.537622 0.0810335i
\(316\) 858070. + 796173.i 0.483398 + 0.448528i
\(317\) −1.11284e6 535918.i −0.621994 0.299537i 0.0962186 0.995360i \(-0.469325\pi\)
−0.718213 + 0.695824i \(0.755040\pi\)
\(318\) −2.50656e6 + 1.70894e6i −1.38999 + 0.947676i
\(319\) 1873.18 + 4772.79i 0.00103063 + 0.00262600i
\(320\) 1.33378e6 411418.i 0.728133 0.224599i
\(321\) −920243. + 853860.i −0.498471 + 0.462513i
\(322\) −102136. + 128075.i −0.0548959 + 0.0688372i
\(323\) −1.52353e6 + 1.91044e6i −0.812539 + 1.01889i
\(324\) 875422. 812273.i 0.463292 0.429872i
\(325\) −1.78858e6 + 551704.i −0.939291 + 0.289733i
\(326\) 1.47771e6 + 3.76514e6i 0.770095 + 1.96217i
\(327\) 1.16667e6 795419.i 0.603360 0.411364i
\(328\) 274330. + 132110.i 0.140795 + 0.0678034i
\(329\) −1.13215e6 1.05048e6i −0.576653 0.535055i
\(330\) 12037.9 1814.42i 0.00608508 0.000917178i
\(331\) 120749. 1.61129e6i 0.0605780 0.808357i −0.881333 0.472495i \(-0.843353\pi\)
0.941911 0.335862i \(-0.109028\pi\)
\(332\) 962109. 2.45141e6i 0.479048 1.22059i
\(333\) 742941. + 3.25504e6i 0.367150 + 1.60859i
\(334\) −386583. 5.15859e6i −0.189617 2.53026i
\(335\) −1.13679e6 350652.i −0.553435 0.170712i
\(336\) −1.43741e6 + 692220.i −0.694596 + 0.334500i
\(337\) 562058. 973513.i 0.269592 0.466946i −0.699165 0.714961i \(-0.746445\pi\)
0.968756 + 0.248014i \(0.0797780\pi\)
\(338\) −1.36568e6 2.36542e6i −0.650213 1.12620i
\(339\) 3.33554e6 + 2.27413e6i 1.57640 + 1.07477i
\(340\) 245956. 1.07760e6i 0.115388 0.505548i
\(341\) 12209.8 + 1840.33i 0.00568620 + 0.000857057i
\(342\) −4.65978e6 5.84318e6i −2.15427 2.70137i
\(343\) −2.35050e6 −1.07876
\(344\) 721735. 488559.i 0.328838 0.222598i
\(345\) −140031. −0.0633397
\(346\) 56353.2 + 70664.7i 0.0253063 + 0.0317331i
\(347\) −2.97679e6 448679.i −1.32716 0.200038i −0.553084 0.833125i \(-0.686549\pi\)
−0.774080 + 0.633087i \(0.781787\pi\)
\(348\) −548768. + 2.40431e6i −0.242907 + 1.06425i
\(349\) −779005. 531117.i −0.342355 0.233414i 0.379920 0.925019i \(-0.375951\pi\)
−0.722276 + 0.691605i \(0.756904\pi\)
\(350\) 933487. + 1.61685e6i 0.407322 + 0.705503i
\(351\) 887129. 1.53655e6i 0.384343 0.665702i
\(352\) −14730.0 + 7093.60i −0.00633645 + 0.00305147i
\(353\) 2.09986e6 + 647722.i 0.896921 + 0.276663i 0.708739 0.705471i \(-0.249264\pi\)
0.188182 + 0.982134i \(0.439741\pi\)
\(354\) −674613. 9.00208e6i −0.286119 3.81799i
\(355\) 286147. + 1.25369e6i 0.120509 + 0.527982i
\(356\) 2.06412e6 5.25930e6i 0.863199 2.19939i
\(357\) −161383. + 2.15350e6i −0.0670172 + 0.894283i
\(358\) −2.55390e6 + 384939.i −1.05316 + 0.158739i
\(359\) 1.43987e6 + 1.33601e6i 0.589641 + 0.547107i 0.917559 0.397599i \(-0.130157\pi\)
−0.327918 + 0.944706i \(0.606347\pi\)
\(360\) 636001. + 306282.i 0.258643 + 0.124556i
\(361\) 3.73579e6 2.54702e6i 1.50874 1.02864i
\(362\) 1.45718e6 + 3.71283e6i 0.584442 + 1.48913i
\(363\) 3.69001e6 1.13822e6i 1.46981 0.453376i
\(364\) −2.40502e6 + 2.23153e6i −0.951406 + 0.882775i
\(365\) 707487. 887161.i 0.277963 0.348554i
\(366\) −4.53578e6 + 5.68768e6i −1.76990 + 2.21938i
\(367\) 3.31354e6 3.07451e6i 1.28418 1.19155i 0.313932 0.949445i \(-0.398354\pi\)
0.970251 0.242102i \(-0.0778369\pi\)
\(368\) 128725. 39706.4i 0.0495500 0.0152842i
\(369\) −513689. 1.30886e6i −0.196397 0.500411i
\(370\) 2.09270e6 1.42678e6i 0.794699 0.541817i
\(371\) −1.30578e6 628829.i −0.492532 0.237191i
\(372\) 4.35369e6 + 4.03963e6i 1.63117 + 1.51351i
\(373\) 2.57348e6 387890.i 0.957742 0.144356i 0.348472 0.937319i \(-0.386701\pi\)
0.609270 + 0.792963i \(0.291462\pi\)
\(374\) −1184.65 + 15808.1i −0.000437937 + 0.00584387i
\(375\) −1.39295e6 + 3.54919e6i −0.511515 + 1.30332i
\(376\) −253371. 1.11009e6i −0.0924245 0.404938i
\(377\) −158106. 2.10978e6i −0.0572922 0.764511i
\(378\) −1.69112e6 521641.i −0.608758 0.187777i
\(379\) 1.07266e6 516568.i 0.383589 0.184727i −0.232144 0.972681i \(-0.574574\pi\)
0.615733 + 0.787955i \(0.288860\pi\)
\(380\) −1.58264e6 + 2.74121e6i −0.562241 + 0.973830i
\(381\) 1.83439e6 + 3.17726e6i 0.647411 + 1.12135i
\(382\) −975993. 665421.i −0.342207 0.233312i
\(383\) −567764. + 2.48754e6i −0.197775 + 0.866509i 0.774483 + 0.632595i \(0.218010\pi\)
−0.972257 + 0.233913i \(0.924847\pi\)
\(384\) −3.36890e6 507779.i −1.16589 0.175730i
\(385\) 3626.14 + 4547.04i 0.00124679 + 0.00156342i
\(386\) 6.10297e6 2.08484
\(387\) −3.97769e6 613087.i −1.35006 0.208087i
\(388\) 2.04040e6 0.688075
\(389\) 472652. + 592686.i 0.158368 + 0.198587i 0.854685 0.519148i \(-0.173751\pi\)
−0.696317 + 0.717735i \(0.745179\pi\)
\(390\) −4.96733e6 748704.i −1.65372 0.249258i
\(391\) 40575.3 177772.i 0.0134221 0.0588059i
\(392\) −433608. 295629.i −0.142522 0.0971700i
\(393\) −486346. 842377.i −0.158842 0.275122i
\(394\) 1.18357e6 2.04999e6i 0.384106 0.665292i
\(395\) −771438. + 371505.i −0.248776 + 0.119804i
\(396\) −25866.2 7978.65i −0.00828884 0.00255677i
\(397\) 80205.4 + 1.07027e6i 0.0255404 + 0.340813i 0.995306 + 0.0967754i \(0.0308529\pi\)
−0.969766 + 0.244037i \(0.921528\pi\)
\(398\) 71304.7 + 312406.i 0.0225637 + 0.0988581i
\(399\) 2.25935e6 5.75674e6i 0.710481 1.81028i
\(400\) 114732. 1.53099e6i 0.0358536 0.478434i
\(401\) −2.51134e6 + 378523.i −0.779909 + 0.117552i −0.526918 0.849916i \(-0.676652\pi\)
−0.252991 + 0.967469i \(0.581414\pi\)
\(402\) 6.01582e6 + 5.58186e6i 1.85665 + 1.72272i
\(403\) −4.59059e6 2.21071e6i −1.40801 0.678062i
\(404\) −6.68492e6 + 4.55770e6i −2.03771 + 1.38929i
\(405\) 319142. + 813161.i 0.0966823 + 0.246342i
\(406\) −2.01656e6 + 622025.i −0.607149 + 0.187281i
\(407\) −14866.3 + 13793.9i −0.00444853 + 0.00412763i
\(408\) −992675. + 1.24478e6i −0.295228 + 0.370204i
\(409\) −3.33961e6 + 4.18773e6i −0.987159 + 1.23786i −0.0158900 + 0.999874i \(0.505058\pi\)
−0.971269 + 0.237984i \(0.923513\pi\)
\(410\) −781906. + 725503.i −0.229718 + 0.213147i
\(411\) 9.08148e6 2.80127e6i 2.65187 0.817993i
\(412\) −734656. 1.87187e6i −0.213227 0.543292i
\(413\) 3.56329e6 2.42941e6i 1.02796 0.700851i
\(414\) 502476. + 241980.i 0.144084 + 0.0693870i
\(415\) 1.41209e6 + 1.31023e6i 0.402479 + 0.373446i
\(416\) 6.67094e6 1.00548e6i 1.88996 0.284866i
\(417\) 615447. 8.21258e6i 0.173321 2.31281i
\(418\) 16585.1 42258.2i 0.00464278 0.0118296i
\(419\) −21486.6 94139.1i −0.00597907 0.0261960i 0.971850 0.235599i \(-0.0757051\pi\)
−0.977829 + 0.209403i \(0.932848\pi\)
\(420\) 209049. + 2.78956e6i 0.0578261 + 0.771636i
\(421\) −761748. 234968.i −0.209462 0.0646106i 0.188248 0.982121i \(-0.439719\pi\)
−0.397711 + 0.917511i \(0.630195\pi\)
\(422\) 3.97061e6 1.91214e6i 1.08536 0.522684i
\(423\) −2.62903e6 + 4.55361e6i −0.714404 + 1.23738i
\(424\) −534251. 925351.i −0.144321 0.249972i
\(425\) −1.71706e6 1.17067e6i −0.461118 0.314385i
\(426\) 1.97394e6 8.64839e6i 0.526999 2.30893i
\(427\) −3.43661e6 517986.i −0.912139 0.137483i
\(428\) −1.32024e6 1.65553e6i −0.348373 0.436846i
\(429\) 40222.3 0.0105517
\(430\) 669477. + 2.97884e6i 0.174608 + 0.776919i
\(431\) −6.93152e6 −1.79736 −0.898680 0.438604i \(-0.855473\pi\)
−0.898680 + 0.438604i \(0.855473\pi\)
\(432\) 907380. + 1.13782e6i 0.233927 + 0.293335i
\(433\) −1.85718e6 279925.i −0.476031 0.0717501i −0.0933552 0.995633i \(-0.529759\pi\)
−0.382676 + 0.923883i \(0.624997\pi\)
\(434\) −1.13090e6 + 4.95478e6i −0.288203 + 1.26270i
\(435\) −1.49048e6 1.01619e6i −0.377662 0.257486i
\(436\) 1.19088e6 + 2.06266e6i 0.300021 + 0.519651i
\(437\) −261087. + 452216.i −0.0654006 + 0.113277i
\(438\) −7.05251e6 + 3.39631e6i −1.75654 + 0.845906i
\(439\) 714307. + 220335.i 0.176898 + 0.0545659i 0.381939 0.924188i \(-0.375256\pi\)
−0.205041 + 0.978753i \(0.565733\pi\)
\(440\) 320.426 + 4275.78i 7.89034e−5 + 0.00105289i
\(441\) 539265. + 2.36267e6i 0.132040 + 0.578505i
\(442\) 2.38982e6 6.08917e6i 0.581849 1.48253i
\(443\) −197880. + 2.64053e6i −0.0479063 + 0.639266i 0.920637 + 0.390420i \(0.127670\pi\)
−0.968543 + 0.248846i \(0.919949\pi\)
\(444\) −9.64553e6 + 1.45383e6i −2.32203 + 0.349990i
\(445\) 3.02953e6 + 2.81099e6i 0.725229 + 0.672914i
\(446\) 7.85695e6 + 3.78371e6i 1.87032 + 0.900700i
\(447\) 3.59303e6 2.44969e6i 0.850536 0.579885i
\(448\) −1.68055e6 4.28198e6i −0.395601 1.00797i
\(449\) −2.16890e6 + 669017.i −0.507719 + 0.156611i −0.538023 0.842930i \(-0.680829\pi\)
0.0303040 + 0.999541i \(0.490352\pi\)
\(450\) 4.65938e6 4.32328e6i 1.08467 1.00643i
\(451\) 5324.95 6677.28i 0.00123275 0.00154582i
\(452\) −4.24568e6 + 5.32391e6i −0.977464 + 1.22570i
\(453\) −6.61274e6 + 6.13572e6i −1.51403 + 1.40482i
\(454\) −6.13871e6 + 1.89354e6i −1.39778 + 0.431157i
\(455\) −876770. 2.23397e6i −0.198544 0.505883i
\(456\) 3.76711e6 2.56837e6i 0.848391 0.578423i
\(457\) −5.46059e6 2.62968e6i −1.22306 0.588997i −0.292901 0.956143i \(-0.594621\pi\)
−0.930163 + 0.367146i \(0.880335\pi\)
\(458\) 2.82464e6 + 2.62089e6i 0.629217 + 0.583828i
\(459\) 1.94793e6 293603.i 0.431560 0.0650472i
\(460\) 17651.3 235540.i 0.00388939 0.0519004i
\(461\) 1.90737e6 4.85990e6i 0.418006 1.06506i −0.554499 0.832184i \(-0.687090\pi\)
0.972506 0.232879i \(-0.0748146\pi\)
\(462\) −8927.53 39114.1i −0.00194593 0.00852566i
\(463\) −283012. 3.77653e6i −0.0613554 0.818730i −0.939983 0.341222i \(-0.889159\pi\)
0.878627 0.477508i \(-0.158460\pi\)
\(464\) 1.65829e6 + 511514.i 0.357573 + 0.110297i
\(465\) −3.91413e6 + 1.88495e6i −0.839466 + 0.404266i
\(466\) −3.92880e6 + 6.80487e6i −0.838098 + 1.45163i
\(467\) 1.44622e6 + 2.50493e6i 0.306861 + 0.531499i 0.977674 0.210127i \(-0.0673879\pi\)
−0.670813 + 0.741627i \(0.734055\pi\)
\(468\) 9.22881e6 + 6.29210e6i 1.94774 + 1.32795i
\(469\) −872404. + 3.82225e6i −0.183141 + 0.802393i
\(470\) 3.94425e6 + 594500.i 0.823607 + 0.124139i
\(471\) 1.92961e6 + 2.41966e6i 0.400791 + 0.502576i
\(472\) 3.17952e6 0.656912
\(473\) −8855.45 22786.0i −0.00181994 0.00468291i
\(474\) 5.90658e6 1.20751
\(475\) 3.71050e6 + 4.65282e6i 0.754568 + 0.946199i
\(476\) −3.60197e6 542910.i −0.728657 0.109827i
\(477\) −1.09796e6 + 4.81047e6i −0.220948 + 0.968036i
\(478\) 1.41411e6 + 964125.i 0.283083 + 0.193003i
\(479\) 1.39625e6 + 2.41838e6i 0.278051 + 0.481599i 0.970900 0.239484i \(-0.0769782\pi\)
−0.692849 + 0.721083i \(0.743645\pi\)
\(480\) 2.87609e6 4.98153e6i 0.569770 0.986870i
\(481\) 7.53962e6 3.63089e6i 1.48589 0.715567i
\(482\) 1.21045e6 + 373374.i 0.237317 + 0.0732027i
\(483\) 34486.7 + 460193.i 0.00672641 + 0.0897577i
\(484\) 1.44941e6 + 6.35028e6i 0.281240 + 1.23219i
\(485\) −545276. + 1.38934e6i −0.105260 + 0.268197i
\(486\) 779942. 1.04076e7i 0.149786 1.99876i
\(487\) −1.94688e6 + 293445.i −0.371977 + 0.0560665i −0.332371 0.943149i \(-0.607849\pi\)
−0.0396064 + 0.999215i \(0.512610\pi\)
\(488\) −1.87828e6 1.74279e6i −0.357035 0.331280i
\(489\) 1.02661e7 + 4.94390e6i 1.94148 + 0.934969i
\(490\) 1.51899e6 1.03563e6i 0.285801 0.194856i
\(491\) −1.24473e6 3.17151e6i −0.233008 0.593694i 0.765770 0.643114i \(-0.222358\pi\)
−0.998778 + 0.0494202i \(0.984263\pi\)
\(492\) 3.92542e6 1.21083e6i 0.731095 0.225513i
\(493\) 1.72196e6 1.59774e6i 0.319084 0.296067i
\(494\) −1.16794e7 + 1.46455e7i −2.15330 + 2.70015i
\(495\) 12345.3 15480.5i 0.00226458 0.00283969i
\(496\) 3.06363e6 2.84263e6i 0.559155 0.518820i
\(497\) 4.04961e6 1.24914e6i 0.735398 0.226840i
\(498\) −4.85481e6 1.23699e7i −0.877201 2.23507i
\(499\) 2.54518e6 1.73527e6i 0.457580 0.311973i −0.312503 0.949917i \(-0.601167\pi\)
0.770083 + 0.637944i \(0.220215\pi\)
\(500\) −5.79436e6 2.79041e6i −1.03653 0.499164i
\(501\) −1.06829e7 9.91225e6i −1.90149 1.76432i
\(502\) 6.30364e6 950120.i 1.11643 0.168275i
\(503\) −256305. + 3.42015e6i −0.0451686 + 0.602734i 0.927991 + 0.372603i \(0.121535\pi\)
−0.973160 + 0.230131i \(0.926085\pi\)
\(504\) 849920. 2.16556e6i 0.149040 0.379747i
\(505\) −1.31694e6 5.76987e6i −0.229793 1.00679i
\(506\) 253.154 + 3378.11i 4.39551e−5 + 0.000586539i
\(507\) −7.35270e6 2.26801e6i −1.27036 0.391854i
\(508\) −5.57557e6 + 2.68505e6i −0.958584 + 0.461630i
\(509\) 4.90295e6 8.49216e6i 0.838809 1.45286i −0.0520824 0.998643i \(-0.516586\pi\)
0.890891 0.454217i \(-0.150081\pi\)
\(510\) −2.78872e6 4.83020e6i −0.474766 0.822319i
\(511\) −3.08977e6 2.10657e6i −0.523449 0.356881i
\(512\) −1.58064e6 + 6.92524e6i −0.266476 + 1.16751i
\(513\) −5.57824e6 840785.i −0.935845 0.141056i
\(514\) −1.68701e6 2.11544e6i −0.281650 0.353178i
\(515\) 1.47092e6 0.244383
\(516\) 2.65464e6 1.14549e7i 0.438916 1.89394i
\(517\) −31938.1 −0.00525512
\(518\) −5.20430e6 6.52599e6i −0.852193 1.06862i
\(519\) 251777. + 37949.4i 0.0410297 + 0.00618423i
\(520\) 393708. 1.72495e6i 0.0638508 0.279749i
\(521\) −6.31450e6 4.30515e6i −1.01917 0.694855i −0.0661603 0.997809i \(-0.521075\pi\)
−0.953005 + 0.302954i \(0.902027\pi\)
\(522\) 3.59230e6 + 6.22204e6i 0.577027 + 0.999440i
\(523\) −3.98053e6 + 6.89447e6i −0.636336 + 1.10217i 0.349895 + 0.936789i \(0.386217\pi\)
−0.986230 + 0.165377i \(0.947116\pi\)
\(524\) 1.47823e6 711879.i 0.235187 0.113260i
\(525\) 5.02583e6 + 1.55026e6i 0.795810 + 0.245475i
\(526\) −523670. 6.98789e6i −0.0825265 1.10124i
\(527\) −1.25882e6 5.51525e6i −0.197441 0.865044i
\(528\) −12053.4 + 30711.5i −0.00188158 + 0.00479420i
\(529\) −478077. + 6.37949e6i −0.0742777 + 0.991167i
\(530\) 3.70130e6 557882.i 0.572354 0.0862685i
\(531\) −1.07631e7 9.98667e6i −1.65653 1.53704i
\(532\) 9.39837e6 + 4.52602e6i 1.43971 + 0.693326i
\(533\) −2.91181e6 + 1.98524e6i −0.443962 + 0.302688i
\(534\) −1.04156e7 2.65385e7i −1.58063 4.02738i
\(535\) 1.48010e6 456551.i 0.223567 0.0689612i
\(536\) −2.11884e6 + 1.96599e6i −0.318556 + 0.295577i
\(537\) −4.53646e6 + 5.68854e6i −0.678862 + 0.851266i
\(538\) 3.38172e6 4.24055e6i 0.503712 0.631635i
\(539\) −10790.7 + 10012.3i −0.00159985 + 0.00148444i
\(540\) 2.43840e6 752147.i 0.359849 0.110999i
\(541\) 3.36507e6 + 8.57407e6i 0.494312 + 1.25949i 0.932684 + 0.360693i \(0.117460\pi\)
−0.438372 + 0.898793i \(0.644445\pi\)
\(542\) −3.16495e6 + 2.15782e6i −0.462773 + 0.315513i
\(543\) 1.01235e7 + 4.87521e6i 1.47343 + 0.709568i
\(544\) 5.49078e6 + 5.09470e6i 0.795493 + 0.738110i
\(545\) −1.72275e6 + 259663.i −0.248446 + 0.0374471i
\(546\) −1.23717e6 + 1.65088e7i −0.177601 + 2.36993i
\(547\) −700833. + 1.78569e6i −0.100149 + 0.255175i −0.972163 0.234305i \(-0.924718\pi\)
0.872014 + 0.489481i \(0.162814\pi\)
\(548\) 3.56714e6 + 1.56287e7i 0.507422 + 2.22316i
\(549\) 884219. + 1.17991e7i 0.125207 + 1.67077i
\(550\) 36892.8 + 11379.9i 0.00520038 + 0.00160410i
\(551\) −6.06068e6 + 2.91867e6i −0.850438 + 0.409549i
\(552\) −170115. + 294647.i −0.0237626 + 0.0411581i
\(553\) 1.41089e6 + 2.44373e6i 0.196191 + 0.339813i
\(554\) −614384. 418880.i −0.0850482 0.0579849i
\(555\) 1.58774e6 6.95632e6i 0.218799 0.958622i
\(556\) 1.37364e7 + 2.07044e6i 1.88446 + 0.284037i
\(557\) −487722. 611584.i −0.0666092 0.0835253i 0.747411 0.664362i \(-0.231297\pi\)
−0.814020 + 0.580837i \(0.802725\pi\)
\(558\) 1.73024e7 2.35246
\(559\) 720357. + 1.00618e7i 0.0975031 + 1.36190i
\(560\) 1.96848e6 0.265253
\(561\) 27843.9 + 34915.2i 0.00373528 + 0.00468390i
\(562\) −1.33003e7 2.00470e6i −1.77632 0.267737i
\(563\) 1.72378e6 7.55236e6i 0.229198 1.00418i −0.721098 0.692833i \(-0.756362\pi\)
0.950296 0.311348i \(-0.100780\pi\)
\(564\) −1.26926e7 8.65368e6i −1.68017 1.14552i
\(565\) −2.49052e6 4.31371e6i −0.328223 0.568500i
\(566\) 6.65170e6 1.15211e7i 0.872754 1.51165i
\(567\) 2.59375e6 1.24908e6i 0.338821 0.163167i
\(568\) 2.98559e6 + 920931.i 0.388292 + 0.119772i
\(569\) 829477. + 1.10686e7i 0.107405 + 1.43322i 0.747163 + 0.664641i \(0.231415\pi\)
−0.639758 + 0.768576i \(0.720966\pi\)
\(570\) 3.55411e6 + 1.55716e7i 0.458187 + 2.00745i
\(571\) −1.77155e6 + 4.51384e6i −0.227386 + 0.579370i −0.998345 0.0575150i \(-0.981682\pi\)
0.770959 + 0.636885i \(0.219778\pi\)
\(572\) −5070.14 + 67656.3i −0.000647932 + 0.00864606i
\(573\) −3.29055e6 + 495971.i −0.418680 + 0.0631059i
\(574\) 2.57683e6 + 2.39095e6i 0.326442 + 0.302894i
\(575\) −400113. 192684.i −0.0504677 0.0243039i
\(576\) −1.29394e7 + 8.82195e6i −1.62502 + 1.10792i
\(577\) −5.08103e6 1.29463e7i −0.635349 1.61884i −0.777416 0.628986i \(-0.783470\pi\)
0.142067 0.989857i \(-0.454625\pi\)
\(578\) −4.60808e6 + 1.42141e6i −0.573721 + 0.176970i
\(579\) 1.26032e7 1.16941e7i 1.56238 1.44967i
\(580\) 1.89717e6 2.37898e6i 0.234173 0.293644i
\(581\) 3.95813e6 4.96334e6i 0.486463 0.610005i
\(582\) 7.54741e6 7.00297e6i 0.923614 0.856988i
\(583\) −28639.3 + 8834.06i −0.00348973 + 0.00107644i
\(584\) −1.00725e6 2.56642e6i −0.122209 0.311384i
\(585\) −6.75070e6 + 4.60255e6i −0.815566 + 0.556043i
\(586\) 1.16597e6 + 561502.i 0.140263 + 0.0675471i
\(587\) 5.99905e6 + 5.56631e6i 0.718600 + 0.666764i 0.952167 0.305577i \(-0.0988494\pi\)
−0.233567 + 0.972341i \(0.575040\pi\)
\(588\) −7.00122e6 + 1.05526e6i −0.835085 + 0.125869i
\(589\) −1.21063e6 + 1.61548e7i −0.143789 + 1.91872i
\(590\) −4.06928e6 + 1.03684e7i −0.481269 + 1.22625i
\(591\) −1.48388e6 6.50130e6i −0.174755 0.765653i
\(592\) 512954. + 6.84489e6i 0.0601553 + 0.802717i
\(593\) −8.43401e6 2.60155e6i −0.984912 0.303805i −0.239857 0.970808i \(-0.577101\pi\)
−0.745055 + 0.667003i \(0.767577\pi\)
\(594\) −32973.1 + 15879.0i −0.00383437 + 0.00184653i
\(595\) 1.33227e6 2.30756e6i 0.154276 0.267214i
\(596\) 3.66761e6 + 6.35248e6i 0.422929 + 0.732534i
\(597\) 745863. + 508520.i 0.0856491 + 0.0583946i
\(598\) 311052. 1.36281e6i 0.0355696 0.155841i
\(599\) 3.27362e6 + 493419.i 0.372787 + 0.0561886i 0.332764 0.943010i \(-0.392019\pi\)
0.0400232 + 0.999199i \(0.487257\pi\)
\(600\) 2.41763e6 + 3.03161e6i 0.274165 + 0.343792i
\(601\) 8.55842e6 0.966513 0.483256 0.875479i \(-0.339454\pi\)
0.483256 + 0.875479i \(0.339454\pi\)
\(602\) 9.62467e6 2.93377e6i 1.08242 0.329940i
\(603\) 1.33476e7 1.49489
\(604\) −9.48709e6 1.18964e7i −1.05813 1.32686i
\(605\) −4.71135e6 710122.i −0.523307 0.0788759i
\(606\) −9.08468e6 + 3.98026e7i −1.00491 + 4.40281i
\(607\) −1.17548e7 8.01426e6i −1.29492 0.882859i −0.297502 0.954721i \(-0.596154\pi\)
−0.997415 + 0.0718616i \(0.977106\pi\)
\(608\) −1.07249e7 1.85761e7i −1.17662 2.03796i
\(609\) −2.97250e6 + 5.14853e6i −0.324772 + 0.562522i
\(610\) 8.08708e6 3.89453e6i 0.879969 0.423771i
\(611\) 1.25935e7 + 3.88457e6i 1.36471 + 0.420959i
\(612\) 926765. + 1.23668e7i 0.100021 + 1.33469i
\(613\) −515600. 2.25899e6i −0.0554193 0.242808i 0.939630 0.342193i \(-0.111170\pi\)
−0.995049 + 0.0993849i \(0.968312\pi\)
\(614\) −5.07588e6 + 1.29331e7i −0.543363 + 1.38447i
\(615\) −224554. + 2.99647e6i −0.0239405 + 0.319464i
\(616\) 13972.9 2106.07i 0.00148366 0.000223625i
\(617\) −2.07957e6 1.92956e6i −0.219918 0.204054i 0.562518 0.826785i \(-0.309833\pi\)
−0.782436 + 0.622731i \(0.786023\pi\)
\(618\) −9.14205e6 4.40258e6i −0.962881 0.463699i
\(619\) 5.54588e6 3.78111e6i 0.581760 0.396637i −0.236377 0.971662i \(-0.575960\pi\)
0.818136 + 0.575025i \(0.195007\pi\)
\(620\) −2.67720e6 6.82140e6i −0.279706 0.712680i
\(621\) 402262. 124081.i 0.0418581 0.0129115i
\(622\) 1.17997e7 1.09485e7i 1.22291 1.13469i
\(623\) 8.49183e6 1.06484e7i 0.876559 1.09917i
\(624\) 8.48812e6 1.06438e7i 0.872670 1.09429i
\(625\) −1.70513e6 + 1.58213e6i −0.174606 + 0.162010i
\(626\) −1.92126e7 + 5.92631e6i −1.95953 + 0.604434i
\(627\) −46722.3 119046.i −0.00474630 0.0120934i
\(628\) −4.31324e6 + 2.94072e6i −0.436420 + 0.297546i
\(629\) 8.37112e6 + 4.03132e6i 0.843640 + 0.406275i
\(630\) 5.97408e6 + 5.54314e6i 0.599680 + 0.556422i
\(631\) 2.62251e6 395280.i 0.262207 0.0395213i −0.0166231 0.999862i \(-0.505292\pi\)
0.278830 + 0.960341i \(0.410053\pi\)
\(632\) −155466. + 2.07455e6i −0.0154825 + 0.206600i
\(633\) 4.53577e6 1.15570e7i 0.449927 1.14640i
\(634\) −2.33938e6 1.02495e7i −0.231141 1.01270i
\(635\) −338281. 4.51405e6i −0.0332923 0.444255i
\(636\) −1.37752e7 4.24910e6i −1.35038 0.416537i
\(637\) 5.47264e6 2.63549e6i 0.534378 0.257343i
\(638\) −21820.1 + 37793.5i −0.00212229 + 0.00367591i
\(639\) −7.21398e6 1.24950e7i −0.698913 1.21055i
\(640\) 3.47321e6 + 2.36799e6i 0.335182 + 0.228523i
\(641\) −1.18961e6 + 5.21203e6i −0.114356 + 0.501028i 0.885015 + 0.465563i \(0.154148\pi\)
−0.999371 + 0.0354645i \(0.988709\pi\)
\(642\) −1.05656e7 1.59251e6i −1.01171 0.152491i
\(643\) 5.34623e6 + 6.70396e6i 0.509941 + 0.639446i 0.968439 0.249249i \(-0.0801839\pi\)
−0.458498 + 0.888695i \(0.651612\pi\)
\(644\) −778418. −0.0739602
\(645\) 7.09038e6 + 4.86879e6i 0.671073 + 0.460809i
\(646\) −2.07982e7 −1.96085
\(647\) −1.22154e7 1.53176e7i −1.14722 1.43857i −0.880026 0.474926i \(-0.842475\pi\)
−0.267195 0.963643i \(-0.586097\pi\)
\(648\) 2.09873e6 + 316332.i 0.196344 + 0.0295942i
\(649\) 19845.2 86947.7i 0.00184946 0.00810301i
\(650\) −1.31630e7 8.97439e6i −1.22200 0.833147i
\(651\) 7.15859e6 + 1.23990e7i 0.662026 + 1.14666i
\(652\) −9.60999e6 + 1.66450e7i −0.885327 + 1.53343i
\(653\) 6.26741e6 3.01823e6i 0.575182 0.276993i −0.123595 0.992333i \(-0.539442\pi\)
0.698777 + 0.715340i \(0.253728\pi\)
\(654\) 1.14844e7 + 3.54248e6i 1.04994 + 0.323864i
\(655\) 89687.3 + 1.19679e6i 0.00816823 + 0.108997i
\(656\) −643238. 2.81821e6i −0.0583596 0.255690i
\(657\) −4.65131e6 + 1.18513e7i −0.420399 + 1.07116i
\(658\) 982358. 1.31087e7i 0.0884515 1.18030i
\(659\) 7.34368e6 1.10688e6i 0.658719 0.0992859i 0.188828 0.982010i \(-0.439531\pi\)
0.469891 + 0.882724i \(0.344293\pi\)
\(660\) 42405.9 + 39346.9i 0.00378937 + 0.00351602i
\(661\) −3.98516e6 1.91915e6i −0.354766 0.170847i 0.248008 0.968758i \(-0.420224\pi\)
−0.602775 + 0.797911i \(0.705938\pi\)
\(662\) 1.13632e7 7.74729e6i 1.00776 0.687076i
\(663\) −6.73243e6 1.71539e7i −0.594823 1.51558i
\(664\) 4.47240e6 1.37955e6i 0.393659 0.121428i
\(665\) −5.59346e6 + 5.18997e6i −0.490486 + 0.455104i
\(666\) −1.77181e7 + 2.22178e7i −1.54786 + 1.94096i
\(667\) 312976. 392459.i 0.0272393 0.0341570i
\(668\) 1.80196e7 1.67197e7i 1.56244 1.44973i
\(669\) 2.34754e7 7.24121e6i 2.02791 0.625527i
\(670\) −3.69929e6 9.42564e6i −0.318369 0.811192i
\(671\) −59381.9 + 40485.9i −0.00509152 + 0.00347134i
\(672\) −1.70795e7 8.22503e6i −1.45898 0.702610i
\(673\) 2.21474e6 + 2.05498e6i 0.188489 + 0.174892i 0.768772 0.639522i \(-0.220868\pi\)
−0.580284 + 0.814414i \(0.697058\pi\)
\(674\) 9.46102e6 1.42602e6i 0.802211 0.120914i
\(675\) 358533. 4.78429e6i 0.0302879 0.404164i
\(676\) 4.74175e6 1.20818e7i 0.399091 1.01687i
\(677\) 4.07774e6 + 1.78657e7i 0.341938 + 1.49813i 0.794978 + 0.606639i \(0.207482\pi\)
−0.453040 + 0.891490i \(0.649660\pi\)
\(678\) 2.56780e6 + 3.42649e7i 0.214530 + 2.86270i
\(679\) 4.70017e6 + 1.44981e6i 0.391236 + 0.120680i
\(680\) 1.76990e6 852337.i 0.146783 0.0706869i
\(681\) −9.04876e6 + 1.56729e7i −0.747690 + 1.29504i
\(682\) 52548.6 + 91016.9i 0.00432614 + 0.00749309i
\(683\) 4.08718e6 + 2.78659e6i 0.335253 + 0.228571i 0.719232 0.694770i \(-0.244494\pi\)
−0.383979 + 0.923342i \(0.625446\pi\)
\(684\) 7.90259e6 3.46235e7i 0.645846 2.82964i
\(685\) −1.15951e7 1.74768e6i −0.944166 0.142310i
\(686\) −1.24737e7 1.56415e7i −1.01201 1.26902i
\(687\) 1.08551e7 0.877492
\(688\) −7.89848e6 2.46518e6i −0.636169 0.198553i
\(689\) 1.23672e7 0.992483
\(690\) −743119. 931842.i −0.0594204 0.0745108i
\(691\) 1.71727e7 + 2.58836e6i 1.36818 + 0.206220i 0.791708 0.610899i \(-0.209192\pi\)
0.576469 + 0.817119i \(0.304430\pi\)
\(692\) −95570.3 + 418721.i −0.00758678 + 0.0332399i
\(693\) −53914.8 36758.5i −0.00426457 0.00290753i
\(694\) −1.28115e7 2.21902e7i −1.00972 1.74889i
\(695\) −5.08072e6 + 8.80007e6i −0.398991 + 0.691073i
\(696\) −3.94892e6 + 1.90170e6i −0.308998 + 0.148806i
\(697\) −3.73900e6 1.15333e6i −0.291524 0.0899232i
\(698\) −599702. 8.00246e6i −0.0465904 0.621706i
\(699\) 4.92568e6 + 2.15808e7i 0.381306 + 1.67061i
\(700\) −3.24115e6 + 8.25832e6i −0.250008 + 0.637010i
\(701\) −495719. + 6.61492e6i −0.0381014 + 0.508428i 0.945206 + 0.326475i \(0.105861\pi\)
−0.983307 + 0.181953i \(0.941758\pi\)
\(702\) 1.49329e7 2.25077e6i 1.14367 0.172381i
\(703\) −1.95044e7 1.80975e7i −1.48849 1.38111i
\(704\) −85704.4 41273.1i −0.00651736 0.00313859i
\(705\) 9.28440e6 6.33000e6i 0.703528 0.479657i
\(706\) 6.83330e6 + 1.74110e7i 0.515963 + 1.31465i
\(707\) −1.86376e7 + 5.74893e6i −1.40230 + 0.432552i
\(708\) 3.14454e7 2.91770e7i 2.35762 2.18755i
\(709\) −1.43905e7 + 1.80452e7i −1.07513 + 1.34817i −0.141499 + 0.989938i \(0.545192\pi\)
−0.933632 + 0.358234i \(0.883379\pi\)
\(710\) −6.82421e6 + 8.55728e6i −0.508050 + 0.637074i
\(711\) 7.04228e6 6.53428e6i 0.522443 0.484756i
\(712\) 9.59516e6 2.95971e6i 0.709336 0.218801i
\(713\) −441657. 1.12532e6i −0.0325358 0.0828998i
\(714\) −1.51870e7 + 1.03543e7i −1.11488 + 0.760110i
\(715\) −44713.3 21532.8i −0.00327093 0.00157520i
\(716\) −8.99662e6 8.34764e6i −0.655838 0.608529i
\(717\) 4.76767e6 718611.i 0.346344 0.0522030i
\(718\) −1.24937e6 + 1.66716e7i −0.0904438 + 1.20689i
\(719\) 5.78041e6 1.47282e7i 0.417000 1.06250i −0.555895 0.831253i \(-0.687624\pi\)
0.972895 0.231247i \(-0.0742805\pi\)
\(720\) −1.49127e6 6.53369e6i −0.107208 0.469707i
\(721\) −362256. 4.83397e6i −0.0259524 0.346311i
\(722\) 3.67744e7 + 1.13434e7i 2.62544 + 0.809842i
\(723\) 3.21513e6 1.54833e6i 0.228746 0.110158i
\(724\) −9.47648e6 + 1.64137e7i −0.671894 + 1.16375i
\(725\) −2.86049e6 4.95451e6i −0.202113 0.350070i
\(726\) 2.71565e7 + 1.85150e7i 1.91220 + 1.30371i
\(727\) 3.34159e6 1.46405e7i 0.234486 1.02735i −0.711383 0.702804i \(-0.751931\pi\)
0.945869 0.324547i \(-0.105212\pi\)
\(728\) −5.76577e6 869050.i −0.403208 0.0607738i
\(729\) −1.38581e7 1.73776e7i −0.965798 1.21107i
\(730\) 9.65815e6 0.670791
\(731\) −8.23552e6 + 7.59059e6i −0.570030 + 0.525390i
\(732\) −3.45688e7 −2.38455
\(733\) 859196. + 1.07740e6i 0.0590653 + 0.0740655i 0.810487 0.585757i \(-0.199203\pi\)
−0.751421 + 0.659823i \(0.770631\pi\)
\(734\) 3.80438e7 + 5.73419e6i 2.60642 + 0.392854i
\(735\) 1.15246e6 5.04925e6i 0.0786878 0.344754i
\(736\) 1.32251e6 + 901672.i 0.0899921 + 0.0613556i
\(737\) 40537.4 + 70212.9i 0.00274908 + 0.00476155i
\(738\) 5.98380e6 1.03642e7i 0.404423 0.700482i
\(739\) −2.16926e7 + 1.04466e7i −1.46117 + 0.703663i −0.984494 0.175415i \(-0.943873\pi\)
−0.476677 + 0.879079i \(0.658159\pi\)
\(740\) 1.15008e7 + 3.54753e6i 0.772056 + 0.238148i
\(741\) 3.94360e6 + 5.26237e7i 0.263844 + 3.52076i
\(742\) −2.74495e6 1.20264e7i −0.183031 0.801913i
\(743\) −6.80189e6 + 1.73309e7i −0.452020 + 1.15173i 0.505363 + 0.862907i \(0.331359\pi\)
−0.957383 + 0.288822i \(0.906737\pi\)
\(744\) −788805. + 1.05259e7i −0.0522441 + 0.697149i
\(745\) −5.30564e6 + 799696.i −0.350225 + 0.0527879i
\(746\) 1.62382e7 + 1.50669e7i 1.06830 + 0.991233i
\(747\) −1.94727e7 9.37755e6i −1.27680 0.614877i
\(748\) −62239.2 + 42433.9i −0.00406733 + 0.00277306i
\(749\) −1.86491e6 4.75171e6i −0.121466 0.309489i
\(750\) −3.10104e7 + 9.56544e6i −2.01305 + 0.620943i
\(751\) −1.94046e7 + 1.80049e7i −1.25547 + 1.16490i −0.276471 + 0.961022i \(0.589165\pi\)
−0.978996 + 0.203881i \(0.934644\pi\)
\(752\) −6.73990e6 + 8.45156e6i −0.434619 + 0.544995i
\(753\) 1.11971e7 1.40407e7i 0.719643 0.902403i
\(754\) 1.32006e7 1.22484e7i 0.845600