Properties

Label 27.6.e.a.4.11
Level 27
Weight 6
Character 27.4
Analytic conductor 4.330
Analytic rank 0
Dimension 84
CM No

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Newspace parameters

Level: \( N \) = \( 27 = 3^{3} \)
Weight: \( k \) = \( 6 \)
Character orbit: \([\chi]\) = 27.e (of order \(9\) and degree \(6\))

Newform invariants

Self dual: No
Analytic conductor: \(4.33036313495\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(14\) over \(\Q(\zeta_{9})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 4.11
Character \(\chi\) = 27.4
Dual form 27.6.e.a.7.11

$q$-expansion

\(f(q)\) \(=\) \(q+(5.36004 + 1.95090i) q^{2} +(9.76327 + 12.1523i) q^{3} +(0.410645 + 0.344572i) q^{4} +(-14.4659 + 82.0402i) q^{5} +(28.6236 + 84.1840i) q^{6} +(131.197 - 110.088i) q^{7} +(-89.7358 - 155.427i) q^{8} +(-52.3572 + 237.292i) q^{9} +O(q^{10})\) \(q+(5.36004 + 1.95090i) q^{2} +(9.76327 + 12.1523i) q^{3} +(0.410645 + 0.344572i) q^{4} +(-14.4659 + 82.0402i) q^{5} +(28.6236 + 84.1840i) q^{6} +(131.197 - 110.088i) q^{7} +(-89.7358 - 155.427i) q^{8} +(-52.3572 + 237.292i) q^{9} +(-237.590 + 411.517i) q^{10} +(-10.5058 - 59.5813i) q^{11} +(-0.178108 + 8.35443i) q^{12} +(790.371 - 287.672i) q^{13} +(917.994 - 334.122i) q^{14} +(-1138.21 + 625.186i) q^{15} +(-180.745 - 1025.05i) q^{16} +(-173.221 + 300.027i) q^{17} +(-743.570 + 1169.75i) q^{18} +(-1016.68 - 1760.95i) q^{19} +(-34.2091 + 28.7048i) q^{20} +(2618.74 + 519.536i) q^{21} +(59.9254 - 339.854i) q^{22} +(-1790.96 - 1502.79i) q^{23} +(1012.68 - 2607.97i) q^{24} +(-3584.79 - 1304.76i) q^{25} +4797.64 q^{26} +(-3394.83 + 1680.49i) q^{27} +91.8086 q^{28} +(7235.39 + 2633.47i) q^{29} +(-7320.54 + 1130.49i) q^{30} +(-2053.60 - 1723.18i) q^{31} +(33.6971 - 191.106i) q^{32} +(621.479 - 709.377i) q^{33} +(-1513.79 + 1270.22i) q^{34} +(7133.73 + 12356.0i) q^{35} +(-103.264 + 79.4021i) q^{36} +(-5490.42 + 9509.69i) q^{37} +(-2014.04 - 11422.2i) q^{38} +(11212.5 + 6796.22i) q^{39} +(14049.4 - 5113.55i) q^{40} +(-8626.75 + 3139.88i) q^{41} +(13023.0 + 7893.61i) q^{42} +(1320.52 + 7489.05i) q^{43} +(16.2159 - 28.0867i) q^{44} +(-18710.1 - 7728.04i) q^{45} +(-6667.81 - 11549.0i) q^{46} +(-5301.15 + 4448.19i) q^{47} +(10692.1 - 12204.3i) q^{48} +(2174.96 - 12334.8i) q^{49} +(-16669.2 - 13987.1i) q^{50} +(-5337.23 + 824.214i) q^{51} +(423.685 + 154.209i) q^{52} -1428.94 q^{53} +(-21474.9 + 2384.54i) q^{54} +5040.03 q^{55} +(-28883.7 - 10512.8i) q^{56} +(11473.4 - 29547.6i) q^{57} +(33644.4 + 28231.0i) q^{58} +(6586.05 - 37351.3i) q^{59} +(-682.822 - 135.466i) q^{60} +(5320.79 - 4464.67i) q^{61} +(-7645.65 - 13242.7i) q^{62} +(19253.9 + 36896.0i) q^{63} +(-16100.4 + 27886.7i) q^{64} +(12167.2 + 69003.6i) q^{65} +(4715.08 - 2589.85i) q^{66} +(15558.7 - 5662.90i) q^{67} +(-174.513 + 63.5176i) q^{68} +(776.789 - 36436.4i) q^{69} +(14131.9 + 80145.7i) q^{70} +(2175.24 - 3767.63i) q^{71} +(41580.0 - 13155.9i) q^{72} +(-24178.2 - 41877.8i) q^{73} +(-47981.3 + 40261.1i) q^{74} +(-19143.4 - 56302.1i) q^{75} +(189.277 - 1073.44i) q^{76} +(-7937.50 - 6660.35i) q^{77} +(46840.7 + 58302.4i) q^{78} +(-21195.8 - 7714.64i) q^{79} +86710.2 q^{80} +(-53566.5 - 24847.9i) q^{81} -52365.3 q^{82} +(-34164.4 - 12434.8i) q^{83} +(896.352 + 1115.69i) q^{84} +(-22108.5 - 18551.2i) q^{85} +(-7532.31 + 42717.9i) q^{86} +(38638.4 + 113638. i) q^{87} +(-8317.79 + 6979.45i) q^{88} +(22962.3 + 39771.9i) q^{89} +(-85210.5 - 77924.1i) q^{90} +(72025.6 - 124752. i) q^{91} +(-217.627 - 1234.23i) q^{92} +(890.706 - 41779.8i) q^{93} +(-37092.3 + 13500.5i) q^{94} +(159176. - 57935.2i) q^{95} +(2651.37 - 1456.32i) q^{96} +(27918.1 + 158332. i) q^{97} +(35721.7 - 61871.9i) q^{98} +(14688.2 + 626.563i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84q - 6q^{2} - 6q^{3} - 6q^{4} - 93q^{5} - 126q^{6} - 6q^{7} + 573q^{8} + 324q^{9} + O(q^{10}) \) \( 84q - 6q^{2} - 6q^{3} - 6q^{4} - 93q^{5} - 126q^{6} - 6q^{7} + 573q^{8} + 324q^{9} - 3q^{10} + 111q^{11} - 2769q^{12} - 6q^{13} - 1641q^{14} + 1989q^{15} + 90q^{16} + 3465q^{17} - 99q^{18} - 3q^{19} + 9987q^{20} + 5424q^{21} - 2850q^{22} - 7716q^{23} - 18486q^{24} + 4953q^{25} - 7806q^{26} - 8109q^{27} - 12q^{28} - 20418q^{29} - 6453q^{30} - 6657q^{31} + 51192q^{32} + 50634q^{33} - 11394q^{34} + 35868q^{35} - 3600q^{36} - 3q^{37} - 44076q^{38} - 13971q^{39} + 12441q^{40} - 79077q^{41} - 64422q^{42} - 9465q^{43} + 110757q^{44} + 92493q^{45} - 3q^{46} + 103557q^{47} + 134049q^{48} + 5484q^{49} - 105513q^{50} - 124866q^{51} + 68625q^{52} - 206406q^{53} - 350946q^{54} - 12q^{55} - 147237q^{56} + 67767q^{57} - 9753q^{58} + 116484q^{59} + 241290q^{60} - 70116q^{61} + 246066q^{62} + 135981q^{63} - 86019q^{64} - 19815q^{65} - 32931q^{66} + 48117q^{67} - 48105q^{68} + 25263q^{69} + 270111q^{70} + 279531q^{71} + 441684q^{72} - 27012q^{73} + 233691q^{74} + 18399q^{75} - 125670q^{76} - 345135q^{77} - 520974q^{78} - 216186q^{79} - 924114q^{80} - 428616q^{81} - 12q^{82} - 370401q^{83} - 522390q^{84} - 43731q^{85} + 116682q^{86} + 304173q^{87} + 371418q^{88} + 154827q^{89} + 327366q^{90} - 91002q^{91} + 1279059q^{92} + 890079q^{93} + 11667q^{94} + 1087671q^{95} + 1165698q^{96} - 420621q^{97} + 463410q^{98} - 28323q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 5.36004 + 1.95090i 0.947531 + 0.344873i 0.769135 0.639086i \(-0.220687\pi\)
0.178395 + 0.983959i \(0.442909\pi\)
\(3\) 9.76327 + 12.1523i 0.626314 + 0.779571i
\(4\) 0.410645 + 0.344572i 0.0128326 + 0.0107679i
\(5\) −14.4659 + 82.0402i −0.258774 + 1.46758i 0.527423 + 0.849603i \(0.323158\pi\)
−0.786197 + 0.617976i \(0.787953\pi\)
\(6\) 28.6236 + 84.1840i 0.324599 + 0.954666i
\(7\) 131.197 110.088i 1.01200 0.849168i 0.0233981 0.999726i \(-0.492551\pi\)
0.988601 + 0.150558i \(0.0481070\pi\)
\(8\) −89.7358 155.427i −0.495725 0.858621i
\(9\) −52.3572 + 237.292i −0.215462 + 0.976512i
\(10\) −237.590 + 411.517i −0.751324 + 1.30133i
\(11\) −10.5058 59.5813i −0.0261786 0.148466i 0.968917 0.247387i \(-0.0795720\pi\)
−0.995095 + 0.0989210i \(0.968461\pi\)
\(12\) −0.178108 + 8.35443i −0.000357052 + 0.0167480i
\(13\) 790.371 287.672i 1.29710 0.472105i 0.401047 0.916057i \(-0.368646\pi\)
0.896050 + 0.443952i \(0.146424\pi\)
\(14\) 917.994 334.122i 1.25176 0.455602i
\(15\) −1138.21 + 625.186i −1.30616 + 0.717433i
\(16\) −180.745 1025.05i −0.176508 1.00103i
\(17\) −173.221 + 300.027i −0.145371 + 0.251790i −0.929511 0.368794i \(-0.879771\pi\)
0.784140 + 0.620584i \(0.213104\pi\)
\(18\) −743.570 + 1169.75i −0.540929 + 0.850969i
\(19\) −1016.68 1760.95i −0.646103 1.11908i −0.984046 0.177916i \(-0.943064\pi\)
0.337943 0.941167i \(-0.390269\pi\)
\(20\) −34.2091 + 28.7048i −0.0191235 + 0.0160465i
\(21\) 2618.74 + 519.536i 1.29582 + 0.257079i
\(22\) 59.9254 339.854i 0.0263970 0.149705i
\(23\) −1790.96 1502.79i −0.705936 0.592351i 0.217520 0.976056i \(-0.430203\pi\)
−0.923456 + 0.383705i \(0.874648\pi\)
\(24\) 1012.68 2607.97i 0.358876 0.924219i
\(25\) −3584.79 1304.76i −1.14713 0.417522i
\(26\) 4797.64 1.39186
\(27\) −3394.83 + 1680.49i −0.896207 + 0.443636i
\(28\) 91.8086 0.0221304
\(29\) 7235.39 + 2633.47i 1.59760 + 0.581478i 0.978934 0.204179i \(-0.0654525\pi\)
0.618663 + 0.785657i \(0.287675\pi\)
\(30\) −7320.54 + 1130.49i −1.48505 + 0.229332i
\(31\) −2053.60 1723.18i −0.383806 0.322052i 0.430388 0.902644i \(-0.358377\pi\)
−0.814194 + 0.580592i \(0.802821\pi\)
\(32\) 33.6971 191.106i 0.00581724 0.0329912i
\(33\) 621.479 709.377i 0.0993440 0.113395i
\(34\) −1513.79 + 1270.22i −0.224579 + 0.188444i
\(35\) 7133.73 + 12356.0i 0.984343 + 1.70493i
\(36\) −103.264 + 79.4021i −0.0132799 + 0.0102112i
\(37\) −5490.42 + 9509.69i −0.659328 + 1.14199i 0.321462 + 0.946923i \(0.395826\pi\)
−0.980790 + 0.195067i \(0.937507\pi\)
\(38\) −2014.04 11422.2i −0.226261 1.28319i
\(39\) 11212.5 + 6796.22i 1.18043 + 0.715494i
\(40\) 14049.4 5113.55i 1.38837 0.505327i
\(41\) −8626.75 + 3139.88i −0.801471 + 0.291712i −0.710096 0.704105i \(-0.751348\pi\)
−0.0913750 + 0.995817i \(0.529126\pi\)
\(42\) 13023.0 + 7893.61i 1.13917 + 0.690483i
\(43\) 1320.52 + 7489.05i 0.108912 + 0.617669i 0.989586 + 0.143946i \(0.0459791\pi\)
−0.880674 + 0.473723i \(0.842910\pi\)
\(44\) 16.2159 28.0867i 0.00126273 0.00218710i
\(45\) −18710.1 7728.04i −1.37735 0.568903i
\(46\) −6667.81 11549.0i −0.464610 0.804729i
\(47\) −5301.15 + 4448.19i −0.350046 + 0.293724i −0.800809 0.598920i \(-0.795597\pi\)
0.450762 + 0.892644i \(0.351152\pi\)
\(48\) 10692.1 12204.3i 0.669823 0.764559i
\(49\) 2174.96 12334.8i 0.129408 0.733908i
\(50\) −16669.2 13987.1i −0.942951 0.791230i
\(51\) −5337.23 + 824.214i −0.287336 + 0.0443726i
\(52\) 423.685 + 154.209i 0.0217288 + 0.00790862i
\(53\) −1428.94 −0.0698753 −0.0349377 0.999389i \(-0.511123\pi\)
−0.0349377 + 0.999389i \(0.511123\pi\)
\(54\) −21474.9 + 2384.54i −1.00218 + 0.111281i
\(55\) 5040.03 0.224660
\(56\) −28883.7 10512.8i −1.23079 0.447970i
\(57\) 11473.4 29547.6i 0.467741 1.20458i
\(58\) 33644.4 + 28231.0i 1.31324 + 1.10194i
\(59\) 6586.05 37351.3i 0.246317 1.39693i −0.571096 0.820883i \(-0.693482\pi\)
0.817414 0.576051i \(-0.195407\pi\)
\(60\) −682.822 135.466i −0.0244867 0.00485795i
\(61\) 5320.79 4464.67i 0.183084 0.153626i −0.546639 0.837368i \(-0.684093\pi\)
0.729724 + 0.683742i \(0.239649\pi\)
\(62\) −7645.65 13242.7i −0.252601 0.437518i
\(63\) 19253.9 + 36896.0i 0.611176 + 1.17119i
\(64\) −16100.4 + 27886.7i −0.491346 + 0.851036i
\(65\) 12167.2 + 69003.6i 0.357197 + 2.02576i
\(66\) 4715.08 2589.85i 0.133238 0.0731838i
\(67\) 15558.7 5662.90i 0.423434 0.154118i −0.121509 0.992590i \(-0.538773\pi\)
0.544943 + 0.838473i \(0.316551\pi\)
\(68\) −174.513 + 63.5176i −0.00457674 + 0.00166580i
\(69\) 776.789 36436.4i 0.0196418 0.921325i
\(70\) 14131.9 + 80145.7i 0.344710 + 1.95495i
\(71\) 2175.24 3767.63i 0.0512108 0.0886996i −0.839284 0.543694i \(-0.817025\pi\)
0.890494 + 0.454994i \(0.150359\pi\)
\(72\) 41580.0 13155.9i 0.945263 0.299082i
\(73\) −24178.2 41877.8i −0.531026 0.919765i −0.999344 0.0362047i \(-0.988473\pi\)
0.468318 0.883560i \(-0.344860\pi\)
\(74\) −47981.3 + 40261.1i −1.01858 + 0.854686i
\(75\) −19143.4 56302.1i −0.392977 1.15577i
\(76\) 189.277 1073.44i 0.00375893 0.0213179i
\(77\) −7937.50 6660.35i −0.152566 0.128018i
\(78\) 46840.7 + 58302.4i 0.871739 + 1.08505i
\(79\) −21195.8 7714.64i −0.382105 0.139075i 0.143824 0.989603i \(-0.454060\pi\)
−0.525929 + 0.850529i \(0.676282\pi\)
\(80\) 86710.2 1.51476
\(81\) −53566.5 24847.9i −0.907153 0.420802i
\(82\) −52365.3 −0.860022
\(83\) −34164.4 12434.8i −0.544350 0.198127i 0.0551843 0.998476i \(-0.482425\pi\)
−0.599535 + 0.800349i \(0.704648\pi\)
\(84\) 896.352 + 1115.69i 0.0138606 + 0.0172522i
\(85\) −22108.5 18551.2i −0.331904 0.278500i
\(86\) −7532.31 + 42717.9i −0.109820 + 0.622821i
\(87\) 38638.4 + 113638.i 0.547294 + 1.60963i
\(88\) −8317.79 + 6979.45i −0.114499 + 0.0960759i
\(89\) 22962.3 + 39771.9i 0.307284 + 0.532232i 0.977767 0.209693i \(-0.0672464\pi\)
−0.670483 + 0.741925i \(0.733913\pi\)
\(90\) −85210.5 77924.1i −1.10889 1.01406i
\(91\) 72025.6 124752.i 0.911766 1.57922i
\(92\) −217.627 1234.23i −0.00268067 0.0152029i
\(93\) 890.706 41779.8i 0.0106789 0.500909i
\(94\) −37092.3 + 13500.5i −0.432977 + 0.157591i
\(95\) 159176. 57935.2i 1.80954 0.658617i
\(96\) 2651.37 1456.32i 0.0293624 0.0161279i
\(97\) 27918.1 + 158332.i 0.301271 + 1.70859i 0.640559 + 0.767909i \(0.278703\pi\)
−0.339288 + 0.940683i \(0.610186\pi\)
\(98\) 35721.7 61871.9i 0.375723 0.650771i
\(99\) 14688.2 + 626.563i 0.150620 + 0.00642505i
\(100\) −1022.49 1771.01i −0.0102249 0.0177101i
\(101\) 33331.9 27968.8i 0.325129 0.272816i −0.465582 0.885005i \(-0.654155\pi\)
0.790712 + 0.612189i \(0.209711\pi\)
\(102\) −30215.7 5994.55i −0.287563 0.0570501i
\(103\) 24292.0 137767.i 0.225617 1.27954i −0.635886 0.771783i \(-0.719365\pi\)
0.861503 0.507753i \(-0.169524\pi\)
\(104\) −115636. 97030.5i −1.04836 0.879681i
\(105\) −80505.1 + 207326.i −0.712607 + 1.83519i
\(106\) −7659.17 2787.71i −0.0662090 0.0240981i
\(107\) −56007.5 −0.472919 −0.236459 0.971641i \(-0.575987\pi\)
−0.236459 + 0.971641i \(0.575987\pi\)
\(108\) −1973.12 479.678i −0.0162777 0.00395722i
\(109\) −151535. −1.22165 −0.610826 0.791765i \(-0.709162\pi\)
−0.610826 + 0.791765i \(0.709162\pi\)
\(110\) 27014.8 + 9832.58i 0.212873 + 0.0774793i
\(111\) −169169. + 26124.4i −1.30321 + 0.201251i
\(112\) −136559. 114587.i −1.02867 0.863155i
\(113\) −9672.57 + 54855.9i −0.0712600 + 0.404135i 0.928224 + 0.372021i \(0.121335\pi\)
−0.999484 + 0.0321142i \(0.989776\pi\)
\(114\) 119142. 135993.i 0.858626 0.980065i
\(115\) 149197. 125191.i 1.05200 0.882732i
\(116\) 2063.76 + 3574.53i 0.0142401 + 0.0246646i
\(117\) 26880.7 + 202611.i 0.181542 + 1.36835i
\(118\) 108170. 187356.i 0.715158 1.23869i
\(119\) 10303.2 + 58432.3i 0.0666967 + 0.378256i
\(120\) 199309. + 120807.i 1.26350 + 0.765843i
\(121\) 147899. 53830.8i 0.918336 0.334247i
\(122\) 37229.8 13550.5i 0.226460 0.0824245i
\(123\) −122382. 74179.5i −0.729382 0.442100i
\(124\) −249.543 1415.23i −0.00145744 0.00826555i
\(125\) 28734.3 49769.2i 0.164485 0.284896i
\(126\) 31221.2 + 235327.i 0.175195 + 1.32052i
\(127\) 82065.4 + 142141.i 0.451493 + 0.782008i 0.998479 0.0551334i \(-0.0175584\pi\)
−0.546986 + 0.837141i \(0.684225\pi\)
\(128\) −145460. + 122055.i −0.784727 + 0.658464i
\(129\) −78116.7 + 89165.0i −0.413304 + 0.471759i
\(130\) −69402.2 + 393599.i −0.360176 + 2.04266i
\(131\) 57894.8 + 48579.5i 0.294755 + 0.247329i 0.778157 0.628070i \(-0.216155\pi\)
−0.483402 + 0.875398i \(0.660599\pi\)
\(132\) 499.639 77.1579i 0.00249586 0.000385430i
\(133\) −327245. 119107.i −1.60414 0.583861i
\(134\) 94443.0 0.454368
\(135\) −88758.4 302822.i −0.419156 1.43006i
\(136\) 62176.4 0.288256
\(137\) 152174. + 55386.7i 0.692689 + 0.252118i 0.664286 0.747478i \(-0.268736\pi\)
0.0284028 + 0.999597i \(0.490958\pi\)
\(138\) 75247.2 193785.i 0.336351 0.866209i
\(139\) 288496. + 242077.i 1.26649 + 1.06271i 0.994959 + 0.100286i \(0.0319756\pi\)
0.271535 + 0.962429i \(0.412469\pi\)
\(140\) −1328.09 + 7532.00i −0.00572676 + 0.0324781i
\(141\) −105812. 20992.3i −0.448217 0.0889226i
\(142\) 19009.6 15951.0i 0.0791139 0.0663844i
\(143\) −25443.3 44069.1i −0.104048 0.180216i
\(144\) 252701. + 10779.6i 1.01555 + 0.0433207i
\(145\) −320717. + 555497.i −1.26678 + 2.19413i
\(146\) −47896.7 271636.i −0.185962 1.05464i
\(147\) 171131. 93997.1i 0.653183 0.358774i
\(148\) −5531.39 + 2013.26i −0.0207577 + 0.00755519i
\(149\) −49809.4 + 18129.1i −0.183800 + 0.0668977i −0.432281 0.901739i \(-0.642291\pi\)
0.248481 + 0.968637i \(0.420069\pi\)
\(150\) 7229.90 339129.i 0.0262364 1.23066i
\(151\) −38705.3 219509.i −0.138143 0.783447i −0.972619 0.232404i \(-0.925341\pi\)
0.834477 0.551043i \(-0.185770\pi\)
\(152\) −182466. + 316040.i −0.640578 + 1.10951i
\(153\) −62124.9 56812.6i −0.214554 0.196208i
\(154\) −29551.7 51185.0i −0.100411 0.173917i
\(155\) 171077. 143551.i 0.571955 0.479927i
\(156\) 2262.56 + 6654.34i 0.00744370 + 0.0218924i
\(157\) 72672.4 412145.i 0.235299 1.33445i −0.606684 0.794943i \(-0.707501\pi\)
0.841983 0.539504i \(-0.181388\pi\)
\(158\) −98560.0 82701.6i −0.314093 0.263555i
\(159\) −13951.1 17364.9i −0.0437639 0.0544728i
\(160\) 15190.9 + 5529.02i 0.0469119 + 0.0170745i
\(161\) −400408. −1.21741
\(162\) −238643. 237689.i −0.714432 0.711575i
\(163\) 239195. 0.705154 0.352577 0.935783i \(-0.385306\pi\)
0.352577 + 0.935783i \(0.385306\pi\)
\(164\) −4624.44 1683.16i −0.0134261 0.00488670i
\(165\) 49207.2 + 61248.0i 0.140708 + 0.175139i
\(166\) −158864. 133302.i −0.447460 0.375463i
\(167\) −120668. + 684341.i −0.334811 + 1.89881i 0.0942756 + 0.995546i \(0.469947\pi\)
−0.429087 + 0.903263i \(0.641165\pi\)
\(168\) −154244. 453643.i −0.421635 1.24005i
\(169\) 257505. 216072.i 0.693535 0.581945i
\(170\) −82311.0 142567.i −0.218442 0.378352i
\(171\) 471090. 149053.i 1.23201 0.389808i
\(172\) −2038.25 + 3530.36i −0.00525335 + 0.00909908i
\(173\) −89777.4 509153.i −0.228061 1.29340i −0.856745 0.515739i \(-0.827517\pi\)
0.628684 0.777661i \(-0.283594\pi\)
\(174\) −14592.5 + 684484.i −0.0365391 + 1.71392i
\(175\) −613952. + 223460.i −1.51544 + 0.551576i
\(176\) −59175.1 + 21538.0i −0.143998 + 0.0524111i
\(177\) 518206. 284635.i 1.24328 0.682898i
\(178\) 45488.1 + 257976.i 0.107609 + 0.610280i
\(179\) −169167. + 293005.i −0.394623 + 0.683507i −0.993053 0.117668i \(-0.962458\pi\)
0.598430 + 0.801175i \(0.295791\pi\)
\(180\) −5020.35 9620.46i −0.0115492 0.0221317i
\(181\) 349422. + 605217.i 0.792783 + 1.37314i 0.924237 + 0.381818i \(0.124702\pi\)
−0.131454 + 0.991322i \(0.541965\pi\)
\(182\) 629438. 528161.i 1.40856 1.18192i
\(183\) 106204. + 21070.1i 0.234431 + 0.0465091i
\(184\) −72861.3 + 413217.i −0.158654 + 0.899774i
\(185\) −700753. 588002.i −1.50534 1.26313i
\(186\) 86282.3 222204.i 0.182869 0.470944i
\(187\) 19695.8 + 7168.69i 0.0411880 + 0.0149912i
\(188\) −3709.61 −0.00765479
\(189\) −260392. + 594205.i −0.530240 + 1.20999i
\(190\) 966213. 1.94173
\(191\) 117622. + 42810.9i 0.233295 + 0.0849123i 0.456022 0.889968i \(-0.349274\pi\)
−0.222728 + 0.974881i \(0.571496\pi\)
\(192\) −496081. + 76608.5i −0.971180 + 0.149977i
\(193\) 57597.5 + 48330.0i 0.111304 + 0.0933950i 0.696741 0.717323i \(-0.254633\pi\)
−0.585437 + 0.810718i \(0.699077\pi\)
\(194\) −159246. + 903130.i −0.303784 + 1.72284i
\(195\) −719762. + 821560.i −1.35551 + 1.54722i
\(196\) 5143.35 4315.79i 0.00956326 0.00802453i
\(197\) 75692.7 + 131104.i 0.138959 + 0.240685i 0.927103 0.374807i \(-0.122291\pi\)
−0.788144 + 0.615491i \(0.788958\pi\)
\(198\) 77507.2 + 32013.6i 0.140501 + 0.0580326i
\(199\) 120924. 209447.i 0.216461 0.374922i −0.737262 0.675607i \(-0.763882\pi\)
0.953724 + 0.300684i \(0.0972151\pi\)
\(200\) 118889. + 674256.i 0.210169 + 1.19193i
\(201\) 220721. + 133786.i 0.385348 + 0.233571i
\(202\) 233224. 84886.7i 0.402157 0.146373i
\(203\) 1.23918e6 451024.i 2.11054 0.768173i
\(204\) −2475.70 1500.60i −0.00416508 0.00252458i
\(205\) −132803. 753161.i −0.220710 1.25171i
\(206\) 398976. 691046.i 0.655056 1.13459i
\(207\) 450370. 346299.i 0.730540 0.561726i
\(208\) −437734. 758178.i −0.701539 1.21510i
\(209\) −94238.4 + 79075.4i −0.149232 + 0.125221i
\(210\) −835982. + 954219.i −1.30812 + 1.49314i
\(211\) 18660.3 105828.i 0.0288544 0.163642i −0.966976 0.254869i \(-0.917968\pi\)
0.995830 + 0.0912270i \(0.0290789\pi\)
\(212\) −586.786 492.372i −0.000896685 0.000752408i
\(213\) 67022.8 10350.2i 0.101222 0.0156314i
\(214\) −300203. 109265.i −0.448105 0.163097i
\(215\) −633506. −0.934662
\(216\) 565831. + 376848.i 0.825187 + 0.549581i
\(217\) −459128. −0.661888
\(218\) −812235. 295629.i −1.15755 0.421315i
\(219\) 272854. 702685.i 0.384433 0.990034i
\(220\) 2069.66 + 1736.65i 0.00288299 + 0.00241911i
\(221\) −50599.4 + 286964.i −0.0696891 + 0.395227i
\(222\) −957720. 190004.i −1.30424 0.258750i
\(223\) −374072. + 313883.i −0.503724 + 0.422674i −0.858914 0.512119i \(-0.828860\pi\)
0.355190 + 0.934794i \(0.384416\pi\)
\(224\) −16617.4 28782.2i −0.0221280 0.0383269i
\(225\) 497298. 782330.i 0.654878 1.03023i
\(226\) −158863. + 275160.i −0.206896 + 0.358355i
\(227\) 32422.3 + 183876.i 0.0417618 + 0.236843i 0.998543 0.0539667i \(-0.0171865\pi\)
−0.956781 + 0.290810i \(0.906075\pi\)
\(228\) 14892.8 8180.16i 0.0189731 0.0104214i
\(229\) −624170. + 227179.i −0.786528 + 0.286273i −0.703892 0.710307i \(-0.748556\pi\)
−0.0826360 + 0.996580i \(0.526334\pi\)
\(230\) 1.04394e6 379962.i 1.30123 0.473610i
\(231\) 3442.72 161486.i 0.00424494 0.199115i
\(232\) −239962. 1.36089e6i −0.292700 1.65998i
\(233\) 81499.7 141162.i 0.0983482 0.170344i −0.812653 0.582748i \(-0.801977\pi\)
0.911001 + 0.412404i \(0.135311\pi\)
\(234\) −251191. + 1.13844e6i −0.299892 + 1.35916i
\(235\) −288244. 499254.i −0.340480 0.589728i
\(236\) 15574.7 13068.8i 0.0182029 0.0152741i
\(237\) −113190. 332898.i −0.130899 0.384982i
\(238\) −58769.8 + 333300.i −0.0672530 + 0.381411i
\(239\) 1.06412e6 + 892905.i 1.20503 + 1.01114i 0.999472 + 0.0324922i \(0.0103444\pi\)
0.205555 + 0.978646i \(0.434100\pi\)
\(240\) 846575. + 1.05373e6i 0.948718 + 1.18087i
\(241\) 1.39867e6 + 509074.i 1.55122 + 0.564597i 0.968703 0.248224i \(-0.0798469\pi\)
0.582514 + 0.812821i \(0.302069\pi\)
\(242\) 897763. 0.985424
\(243\) −221024. 893553.i −0.240117 0.970744i
\(244\) 3723.35 0.00400368
\(245\) 980485. + 356867.i 1.04358 + 0.379832i
\(246\) −511257. 636360.i −0.538644 0.670448i
\(247\) −1.31013e6 1.09933e6i −1.36638 1.14653i
\(248\) −83546.4 + 473815.i −0.0862579 + 0.489193i
\(249\) −182444. 536581.i −0.186480 0.548449i
\(250\) 251112. 210708.i 0.254107 0.213221i
\(251\) −925163. 1.60243e6i −0.926902 1.60544i −0.788473 0.615069i \(-0.789128\pi\)
−0.138429 0.990372i \(-0.544205\pi\)
\(252\) −4806.84 + 21785.5i −0.00476824 + 0.0216106i
\(253\) −70722.8 + 122495.i −0.0694637 + 0.120315i
\(254\) 162571. + 921985.i 0.158110 + 0.896684i
\(255\) 9589.09 449790.i 0.00923478 0.433171i
\(256\) −49504.9 + 18018.3i −0.0472115 + 0.0171836i
\(257\) 379835. 138249.i 0.358726 0.130566i −0.156369 0.987699i \(-0.549979\pi\)
0.515095 + 0.857133i \(0.327757\pi\)
\(258\) −592661. + 325531.i −0.554315 + 0.304469i
\(259\) 326571. + 1.85208e6i 0.302502 + 1.71557i
\(260\) −18780.3 + 32528.4i −0.0172294 + 0.0298421i
\(261\) −1.00373e6 + 1.57902e6i −0.912041 + 1.43479i
\(262\) 215545. + 373335.i 0.193992 + 0.336005i
\(263\) −229128. + 192261.i −0.204263 + 0.171397i −0.739181 0.673507i \(-0.764787\pi\)
0.534918 + 0.844904i \(0.320343\pi\)
\(264\) −166025. 32938.0i −0.146610 0.0290863i
\(265\) 20670.9 117230.i 0.0180819 0.102548i
\(266\) −1.52168e6 1.27684e6i −1.31862 1.10645i
\(267\) −259133. + 667348.i −0.222456 + 0.572894i
\(268\) 8340.37 + 3035.65i 0.00709330 + 0.00258175i
\(269\) −658980. −0.555254 −0.277627 0.960689i \(-0.589548\pi\)
−0.277627 + 0.960689i \(0.589548\pi\)
\(270\) 115025. 1.79630e6i 0.0960250 1.49958i
\(271\) −820179. −0.678399 −0.339199 0.940714i \(-0.610156\pi\)
−0.339199 + 0.940714i \(0.610156\pi\)
\(272\) 338853. + 123332.i 0.277708 + 0.101078i
\(273\) 2.21923e6 342710.i 1.80217 0.278304i
\(274\) 707604. + 593750.i 0.569395 + 0.477779i
\(275\) −40078.0 + 227294.i −0.0319576 + 0.181241i
\(276\) 12873.9 14694.8i 0.0101728 0.0116115i
\(277\) −1.71884e6 + 1.44228e6i −1.34597 + 1.12940i −0.365923 + 0.930645i \(0.619247\pi\)
−0.980048 + 0.198759i \(0.936309\pi\)
\(278\) 1.07408e6 + 1.86037e6i 0.833540 + 1.44373i
\(279\) 516418. 397084.i 0.397183 0.305402i
\(280\) 1.28030e6 2.21755e6i 0.975926 1.69035i
\(281\) −395906. 2.24529e6i −0.299106 1.69632i −0.650026 0.759912i \(-0.725242\pi\)
0.350920 0.936406i \(-0.385869\pi\)
\(282\) −526205. 318948.i −0.394032 0.238835i
\(283\) 1.38550e6 504280.i 1.02835 0.374287i 0.227895 0.973686i \(-0.426816\pi\)
0.800451 + 0.599398i \(0.204593\pi\)
\(284\) 2191.47 797.629i 0.00161228 0.000586820i
\(285\) 2.25812e6 + 1.36871e6i 1.64678 + 0.998161i
\(286\) −50403.0 285850.i −0.0364369 0.206644i
\(287\) −786145. + 1.36164e6i −0.563376 + 0.975795i
\(288\) 43583.6 + 18001.8i 0.0309629 + 0.0127889i
\(289\) 649918. + 1.12569e6i 0.457735 + 0.792819i
\(290\) −2.80277e6 + 2.35181e6i −1.95701 + 1.64213i
\(291\) −1.65152e6 + 1.88510e6i −1.14328 + 1.30498i
\(292\) 4501.28 25528.0i 0.00308943 0.0175210i
\(293\) −1.65170e6 1.38594e6i −1.12399 0.943138i −0.125189 0.992133i \(-0.539954\pi\)
−0.998799 + 0.0489951i \(0.984398\pi\)
\(294\) 1.10065e6 169970.i 0.742642 0.114684i
\(295\) 2.96904e6 + 1.08064e6i 1.98637 + 0.722980i
\(296\) 1.97075e6 1.30738
\(297\) 135791. + 184613.i 0.0893264 + 0.121443i
\(298\) −302348. −0.197227
\(299\) −1.84783e6 672555.i −1.19532 0.435061i
\(300\) 11539.0 29716.5i 0.00740225 0.0190631i
\(301\) 997702. + 837171.i 0.634724 + 0.532596i
\(302\) 220777. 1.25209e6i 0.139295 0.789982i
\(303\) 665313. + 131993.i 0.416312 + 0.0825930i
\(304\) −1.62130e6 + 1.36044e6i −1.00619 + 0.844295i
\(305\) 289312. + 501104.i 0.178081 + 0.308445i
\(306\) −222157. 425717.i −0.135630 0.259907i
\(307\) 510371. 883988.i 0.309058 0.535304i −0.669099 0.743174i \(-0.733320\pi\)
0.978157 + 0.207870i \(0.0666530\pi\)
\(308\) −964.522 5470.08i −0.000579342 0.00328561i
\(309\) 1.91136e6 1.04985e6i 1.13880 0.625507i
\(310\) 1.19703e6 435684.i 0.707459 0.257494i
\(311\) −1.97227e6 + 717847.i −1.15629 + 0.420854i −0.847769 0.530365i \(-0.822055\pi\)
−0.308517 + 0.951219i \(0.599833\pi\)
\(312\) 50154.8 2.35259e6i 0.0291693 1.36823i
\(313\) −66359.5 376343.i −0.0382862 0.217132i 0.959662 0.281156i \(-0.0907177\pi\)
−0.997948 + 0.0640239i \(0.979607\pi\)
\(314\) 1.19358e6 2.06734e6i 0.683168 1.18328i
\(315\) −3.30548e6 + 1.04586e6i −1.87697 + 0.593875i
\(316\) −6045.70 10471.5i −0.00340587 0.00589915i
\(317\) 1.01522e6 851871.i 0.567430 0.476130i −0.313362 0.949634i \(-0.601455\pi\)
0.880792 + 0.473504i \(0.157011\pi\)
\(318\) −40901.4 120294.i −0.0226814 0.0667076i
\(319\) 80891.8 458760.i 0.0445070 0.252412i
\(320\) −2.05493e6 1.72429e6i −1.12182 0.941315i
\(321\) −546816. 680620.i −0.296196 0.368674i
\(322\) −2.14620e6 781154.i −1.15354 0.419853i
\(323\) 704443. 0.375698
\(324\) −13434.9 28661.2i −0.00711003 0.0151681i
\(325\) −3.20865e6 −1.68506
\(326\) 1.28210e6 + 466645.i 0.668155 + 0.243188i
\(327\) −1.47948e6 1.84150e6i −0.765137 0.952364i
\(328\) 1.26215e6 + 1.05907e6i 0.647778 + 0.543551i
\(329\) −205806. + 1.16718e6i −0.104826 + 0.594496i
\(330\) 144264. + 424290.i 0.0729245 + 0.214476i
\(331\) 1.67508e6 1.40556e6i 0.840363 0.705148i −0.117283 0.993099i \(-0.537418\pi\)
0.957645 + 0.287951i \(0.0929739\pi\)
\(332\) −9744.74 16878.4i −0.00485205 0.00840399i
\(333\) −1.96912e6 1.80074e6i −0.973107 0.889897i
\(334\) −1.98186e6 + 3.43269e6i −0.972092 + 1.68371i
\(335\) 239515. + 1.35836e6i 0.116606 + 0.661305i
\(336\) 59229.5 2.77825e6i 0.0286214 1.34253i
\(337\) 352011. 128122.i 0.168843 0.0614537i −0.256216 0.966620i \(-0.582476\pi\)
0.425058 + 0.905166i \(0.360254\pi\)
\(338\) 1.80177e6 655791.i 0.857843 0.312229i
\(339\) −761061. + 418028.i −0.359683 + 0.197563i
\(340\) −2686.50 15235.9i −0.00126035 0.00714779i
\(341\) −81094.3 + 140459.i −0.0377663 + 0.0654132i
\(342\) 2.81585e6 + 120117.i 1.30180 + 0.0555315i
\(343\) 366675. + 635099.i 0.168285 + 0.291478i
\(344\) 1.04550e6 877281.i 0.476353 0.399708i
\(345\) 2.97801e6 + 590813.i 1.34703 + 0.267240i
\(346\) 512094. 2.90423e6i 0.229964 1.30419i
\(347\) 359203. + 301407.i 0.160146 + 0.134378i 0.719339 0.694659i \(-0.244445\pi\)
−0.559193 + 0.829037i \(0.688889\pi\)
\(348\) −23289.8 + 59978.5i −0.0103090 + 0.0265490i
\(349\) −655226. 238483.i −0.287957 0.104808i 0.194003 0.981001i \(-0.437853\pi\)
−0.481960 + 0.876193i \(0.660075\pi\)
\(350\) −3.72676e6 −1.62615
\(351\) −2.19975e6 + 2.30481e6i −0.953026 + 0.998543i
\(352\) −11740.3 −0.00505037
\(353\) −746614. 271745.i −0.318903 0.116071i 0.177609 0.984101i \(-0.443164\pi\)
−0.496512 + 0.868030i \(0.665386\pi\)
\(354\) 3.33290e6 514691.i 1.41356 0.218292i
\(355\) 277630. + 232959.i 0.116922 + 0.0981090i
\(356\) −4274.92 + 24244.3i −0.00178773 + 0.0101387i
\(357\) −609494. + 695698.i −0.253104 + 0.288902i
\(358\) −1.47836e6 + 1.24049e6i −0.609641 + 0.511549i
\(359\) 1.61932e6 + 2.80475e6i 0.663129 + 1.14857i 0.979789 + 0.200033i \(0.0641051\pi\)
−0.316661 + 0.948539i \(0.602562\pi\)
\(360\) 477822. + 3.60154e6i 0.194317 + 1.46464i
\(361\) −829239. + 1.43628e6i −0.334897 + 0.580059i
\(362\) 692203. + 3.92568e6i 0.277627 + 1.57450i
\(363\) 2.09814e6 + 1.27175e6i 0.835736 + 0.506564i
\(364\) 72562.9 26410.7i 0.0287052 0.0104479i
\(365\) 3.78542e6 1.37778e6i 1.48724 0.541312i
\(366\) 528154. + 320130.i 0.206091 + 0.124918i
\(367\) −148483. 842086.i −0.0575453 0.326356i 0.942422 0.334426i \(-0.108542\pi\)
−0.999967 + 0.00806992i \(0.997431\pi\)
\(368\) −1.21673e6 + 2.10745e6i −0.468356 + 0.811217i
\(369\) −293398. 2.21146e6i −0.112174 0.845499i
\(370\) −2.60894e6 4.51881e6i −0.990739 1.71601i
\(371\) −187473. + 157309.i −0.0707138 + 0.0593359i
\(372\) 14761.9 16849.8i 0.00553077 0.00631301i
\(373\) 130100. 737836.i 0.0484180 0.274592i −0.950981 0.309248i \(-0.899923\pi\)
0.999399 + 0.0346563i \(0.0110337\pi\)
\(374\) 91585.1 + 76849.0i 0.0338568 + 0.0284092i
\(375\) 885352. 136723.i 0.325115 0.0502067i
\(376\) 1.16707e6 + 424779.i 0.425724 + 0.154951i
\(377\) 6.47622e6 2.34676
\(378\) −2.55494e6 + 2.67697e6i −0.919711 + 0.963637i
\(379\) −374614. −0.133963 −0.0669816 0.997754i \(-0.521337\pi\)
−0.0669816 + 0.997754i \(0.521337\pi\)
\(380\) 85327.4 + 31056.6i 0.0303130 + 0.0110330i
\(381\) −926120. + 2.38505e6i −0.326855 + 0.841753i
\(382\) 546939. + 458936.i 0.191770 + 0.160914i
\(383\) −573.937 + 3254.96i −0.000199925 + 0.00113383i −0.984908 0.173081i \(-0.944628\pi\)
0.984708 + 0.174215i \(0.0557388\pi\)
\(384\) −2.90342e6 576015.i −1.00481 0.199345i
\(385\) 661239. 554846.i 0.227356 0.190775i
\(386\) 214438. + 371418.i 0.0732544 + 0.126880i
\(387\) −1.84624e6 78755.7i −0.626628 0.0267303i
\(388\) −43092.2 + 74637.8i −0.0145318 + 0.0251698i
\(389\) −649609. 3.68412e6i −0.217660 1.23441i −0.876231 0.481891i \(-0.839950\pi\)
0.658571 0.752519i \(-0.271161\pi\)
\(390\) −5.46073e6 + 2.99942e6i −1.81798 + 0.998563i
\(391\) 761109. 277021.i 0.251771 0.0916370i
\(392\) −2.11233e6 + 768825.i −0.694299 + 0.252704i
\(393\) −25110.6 + 1.17785e6i −0.00820117 + 0.384688i
\(394\) 149947. + 850389.i 0.0486627 + 0.275980i
\(395\) 939527. 1.62731e6i 0.302982 0.524780i
\(396\) 5815.75 + 5318.45i 0.00186367 + 0.00170430i
\(397\) −692020. 1.19861e6i −0.220365 0.381683i 0.734554 0.678550i \(-0.237392\pi\)
−0.954919 + 0.296867i \(0.904058\pi\)
\(398\) 1.05677e6 886734.i 0.334404 0.280599i
\(399\) −1.74755e6 5.13966e6i −0.549537 1.61622i
\(400\) −689514. + 3.91043e6i −0.215473 + 1.22201i
\(401\) 1.47773e6 + 1.23996e6i 0.458916 + 0.385076i 0.842732 0.538333i \(-0.180946\pi\)
−0.383816 + 0.923410i \(0.625390\pi\)
\(402\) 922072. + 1.14770e6i 0.284577 + 0.354212i
\(403\) −2.11882e6 771186.i −0.649876 0.236536i
\(404\) 23324.8 0.00710992
\(405\) 2.81341e6 4.03515e6i 0.852307 1.22243i
\(406\) 7.52194e6 2.26472
\(407\) 624281. + 227220.i 0.186807 + 0.0679923i
\(408\) 607045. + 755587.i 0.180539 + 0.224716i
\(409\) −4.46374e6 3.74552e6i −1.31944 1.10714i −0.986423 0.164223i \(-0.947488\pi\)
−0.333019 0.942920i \(-0.608067\pi\)
\(410\) 757512. 4.29606e6i 0.222551 1.26215i
\(411\) 812637. + 2.39002e6i 0.237297 + 0.697905i
\(412\) 57446.0 48202.9i 0.0166731 0.0139904i
\(413\) −3.24785e6 5.62544e6i −0.936959 1.62286i
\(414\) 3.08960e6 977549.i 0.885933 0.280310i
\(415\) 1.51437e6 2.62297e6i 0.431631 0.747607i
\(416\) −28342.4 160738.i −0.00802979 0.0455392i
\(417\) −125129. + 5.86936e6i −0.0352385 + 1.65291i
\(418\) −659390. + 239998.i −0.184587 + 0.0671842i
\(419\) −4.71805e6 + 1.71723e6i −1.31289 + 0.477852i −0.901172 0.433461i \(-0.857292\pi\)
−0.411714 + 0.911313i \(0.635070\pi\)
\(420\) −104498. + 57397.5i −0.0289057 + 0.0158770i
\(421\) −186623. 1.05839e6i −0.0513168 0.291032i 0.948339 0.317258i \(-0.102762\pi\)
−0.999656 + 0.0262260i \(0.991651\pi\)
\(422\) 306479. 530837.i 0.0837760 0.145104i
\(423\) −777969. 1.49082e6i −0.211403 0.405110i
\(424\) 128227. + 222095.i 0.0346389 + 0.0599964i
\(425\) 1.01242e6 849523.i 0.271888 0.228141i
\(426\) 379437. + 75277.2i 0.101301 + 0.0200974i
\(427\) 206568. 1.17151e6i 0.0548269 0.310939i
\(428\) −22999.2 19298.6i −0.00606880 0.00509233i
\(429\) 287131. 739453.i 0.0753247 0.193985i
\(430\) −3.39562e6 1.23590e6i −0.885621 0.322340i
\(431\) −2.16988e6 −0.562654 −0.281327 0.959612i \(-0.590775\pi\)
−0.281327 + 0.959612i \(0.590775\pi\)
\(432\) 2.33619e6 + 3.17614e6i 0.602280 + 0.818824i
\(433\) 2.36558e6 0.606343 0.303171 0.952936i \(-0.401955\pi\)
0.303171 + 0.952936i \(0.401955\pi\)
\(434\) −2.46094e6 895711.i −0.627159 0.228267i
\(435\) −9.88182e6 + 1.52602e6i −2.50388 + 0.386668i
\(436\) −62227.1 52214.8i −0.0156770 0.0131546i
\(437\) −825499. + 4.68164e6i −0.206782 + 1.17272i
\(438\) 2.83337e6 3.23411e6i 0.705698 0.805507i
\(439\) 5.90020e6 4.95085e6i 1.46118 1.22608i 0.537310 0.843385i \(-0.319440\pi\)
0.923875 0.382695i \(-0.125004\pi\)
\(440\) −452271. 783357.i −0.111370 0.192898i
\(441\) 2.81308e6 + 1.16192e6i 0.688787 + 0.284497i
\(442\) −831051. + 1.43942e6i −0.202336 + 0.350455i
\(443\) 349582. + 1.98258e6i 0.0846331 + 0.479978i 0.997435 + 0.0715760i \(0.0228028\pi\)
−0.912802 + 0.408402i \(0.866086\pi\)
\(444\) −78470.2 47563.1i −0.0188907 0.0114502i
\(445\) −3.59506e6 + 1.30850e6i −0.860610 + 0.313236i
\(446\) −2.61739e6 + 952653.i −0.623063 + 0.226776i
\(447\) −706613. 428299.i −0.167268 0.101386i
\(448\) 957654. + 5.43113e6i 0.225431 + 1.27848i
\(449\) −553618. + 958895.i −0.129597 + 0.224468i −0.923520 0.383549i \(-0.874702\pi\)
0.793924 + 0.608018i \(0.208035\pi\)
\(450\) 4.19178e6 3.22314e6i 0.975815 0.750323i
\(451\) 277709. + 481006.i 0.0642907 + 0.111355i
\(452\) −22873.8 + 19193.4i −0.00526613 + 0.00441881i
\(453\) 2.28965e6 2.61348e6i 0.524232 0.598376i
\(454\) −184938. + 1.04884e6i −0.0421101 + 0.238818i
\(455\) 9.19276e6 + 7.71364e6i 2.08170 + 1.74675i
\(456\) −5.62207e6 + 868202.i −1.26615 + 0.195528i
\(457\) 3.56091e6 + 1.29607e6i 0.797574 + 0.290293i 0.708481 0.705730i \(-0.249381\pi\)
0.0890930 + 0.996023i \(0.471603\pi\)
\(458\) −3.78878e6 −0.843987
\(459\) 83862.3 1.30964e6i 0.0185795 0.290148i
\(460\) 104404. 0.0230051
\(461\) 1.32800e6 + 483353.i 0.291036 + 0.105928i 0.483412 0.875393i \(-0.339397\pi\)
−0.192377 + 0.981321i \(0.561619\pi\)
\(462\) 333495. 858854.i 0.0726916 0.187204i
\(463\) −2.97520e6 2.49649e6i −0.645006 0.541224i 0.260545 0.965462i \(-0.416098\pi\)
−0.905551 + 0.424238i \(0.860542\pi\)
\(464\) 1.39169e6 7.89265e6i 0.300087 1.70188i
\(465\) 3.41474e6 + 677456.i 0.732361 + 0.145294i
\(466\) 712234. 597635.i 0.151935 0.127489i
\(467\) 1.92081e6 + 3.32694e6i 0.407560 + 0.705915i 0.994616 0.103632i \(-0.0330464\pi\)
−0.587056 + 0.809546i \(0.699713\pi\)
\(468\) −58775.6 + 92463.4i −0.0124046 + 0.0195144i
\(469\) 1.41784e6 2.45578e6i 0.297644 0.515534i
\(470\) −571010. 3.23836e6i −0.119234 0.676208i
\(471\) 5.71804e6 3.14075e6i 1.18767 0.652351i
\(472\) −6.39640e6 + 2.32810e6i −1.32154 + 0.481002i
\(473\) 432334. 157357.i 0.0888519 0.0323395i
\(474\) 42748.3 2.00517e6i 0.00873922 0.409926i
\(475\) 1.34699e6 + 7.63914e6i 0.273923 + 1.55350i
\(476\) −15903.2 + 27545.1i −0.00321711 + 0.00557220i
\(477\) 74815.2 339076.i 0.0150554 0.0682341i
\(478\) 3.96178e6 + 6.86200e6i 0.793086 + 1.37367i
\(479\) −1.55050e6 + 1.30102e6i −0.308768 + 0.259087i −0.783983 0.620783i \(-0.786815\pi\)
0.475214 + 0.879870i \(0.342370\pi\)
\(480\) 81122.1 + 238585.i 0.0160708 + 0.0472651i
\(481\) −1.60380e6 + 9.09563e6i −0.316074 + 1.79254i
\(482\) 6.50378e6 + 5.45732e6i 1.27511 + 1.06995i
\(483\) −3.90929e6 4.86588e6i −0.762482 0.949059i
\(484\) 79282.5 + 28856.5i 0.0153838 + 0.00559925i
\(485\) −1.33934e7 −2.58545
\(486\) 558531. 5.22068e6i 0.107265 1.00262i
\(487\) −4.43291e6 −0.846967 −0.423484 0.905904i \(-0.639193\pi\)
−0.423484 + 0.905904i \(0.639193\pi\)
\(488\) −1.17139e6 426353.i −0.222666 0.0810438i
\(489\) 2.33533e6 + 2.90678e6i 0.441648 + 0.549717i
\(490\) 4.55923e6 + 3.82565e6i 0.857830 + 0.719805i
\(491\) −251122. + 1.42419e6i −0.0470090 + 0.266602i −0.999249 0.0387493i \(-0.987663\pi\)
0.952240 + 0.305351i \(0.0987737\pi\)
\(492\) −24695.4 72630.8i −0.00459943 0.0135272i
\(493\) −2.04343e6 + 1.71464e6i −0.378654 + 0.317729i
\(494\) −4.87768e6 8.44839e6i −0.899282 1.55760i
\(495\) −263882. + 1.19596e6i −0.0484057 + 0.219384i
\(496\) −1.39517e6 + 2.41651e6i −0.254638 + 0.441046i
\(497\) −129383. 733770.i −0.0234957 0.133251i
\(498\) 68903.7 3.23203e6i 0.0124500 0.583985i
\(499\) 4.11362e6 1.49723e6i 0.739558 0.269177i 0.0553531 0.998467i \(-0.482372\pi\)
0.684205 + 0.729290i \(0.260149\pi\)
\(500\) 28948.7 10536.4i 0.00517849 0.00188482i
\(501\) −9.49443e6 + 5.21501e6i −1.68995 + 0.928242i
\(502\) −1.83274e6 1.03940e7i −0.324595 1.84087i
\(503\) −66422.0 + 115046.i −0.0117056 + 0.0202746i −0.871819 0.489828i \(-0.837059\pi\)
0.860113 + 0.510103i \(0.170393\pi\)
\(504\) 4.00688e6 6.30346e6i 0.702635 1.10536i
\(505\) 1.81239e6 + 3.13915e6i 0.316244 + 0.547751i
\(506\) −618053. + 518608.i −0.107312 + 0.0900457i
\(507\) 5.13986e6 + 1.01971e6i 0.888038 + 0.176180i
\(508\) −15278.2 + 86647.0i −0.00262672 + 0.0148968i
\(509\) −3.15217e6 2.64498e6i −0.539280 0.452510i 0.332011 0.943275i \(-0.392273\pi\)
−0.871292 + 0.490765i \(0.836717\pi\)
\(510\) 928891. 2.39219e6i 0.158139 0.407258i
\(511\) −7.78234e6 2.83254e6i −1.31843 0.479870i
\(512\) 5.77581e6 0.973728
\(513\) 6.41072e6 + 4.26959e6i 1.07551 + 0.716296i
\(514\) 2.30564e6 0.384932
\(515\) 1.09510e7 + 3.98585e6i 1.81944 + 0.662220i
\(516\) −62802.0 + 9698.35i −0.0103836 + 0.00160352i
\(517\) 320722. + 269117.i 0.0527718 + 0.0442808i
\(518\) −1.86277e6 + 1.05643e7i −0.305025 + 1.72988i
\(519\) 5.31086e6 6.06200e6i 0.865459 0.987865i
\(520\) 9.63319e6 8.08320e6i 1.56229 1.31092i
\(521\) 629944. + 1.09110e6i 0.101674 + 0.176104i 0.912374 0.409357i \(-0.134247\pi\)
−0.810701 + 0.585461i \(0.800914\pi\)
\(522\) −8.46053e6 + 6.50547e6i −1.35901 + 1.04497i
\(523\) 970649. 1.68121e6i 0.155170 0.268762i −0.777951 0.628325i \(-0.783741\pi\)
0.933121 + 0.359563i \(0.117074\pi\)
\(524\) 7035.06 + 39897.8i 0.00111928 + 0.00634777i
\(525\) −8.70974e6 5.27924e6i −1.37914 0.835935i
\(526\) −1.60322e6 + 583524.i −0.252655 + 0.0919590i
\(527\) 872726. 317646.i 0.136884 0.0498216i
\(528\) −839479. 508833.i −0.131046 0.0794311i
\(529\) −168515. 955698.i −0.0261818 0.148485i
\(530\) 339501. 588033.i 0.0524990 0.0909310i
\(531\) 8.51836e6 + 3.51843e6i 1.31105 + 0.541517i
\(532\) −93340.3 161670.i −0.0142985 0.0247657i
\(533\) −5.91508e6 + 4.96334e6i −0.901868 + 0.756757i
\(534\) −2.69089e6 + 3.07147e6i −0.408360 + 0.466116i
\(535\) 810199. 4.59486e6i 0.122379 0.694046i
\(536\) −2.27634e6 1.91008e6i −0.342235 0.287170i
\(537\) −5.21231e6 + 804924.i −0.780000 + 0.120453i
\(538\) −3.53216e6 1.28560e6i −0.526120 0.191492i
\(539\) −757772. −0.112348
\(540\) 67895.8 154936.i 0.0100198 0.0228648i
\(541\) 128241. 0.0188379 0.00941897 0.999956i \(-0.497002\pi\)
0.00941897 + 0.999956i \(0.497002\pi\)
\(542\) −4.39619e6 1.60008e6i −0.642804 0.233961i
\(543\) −3.94328e6 + 1.01552e7i −0.573929 + 1.47805i
\(544\) 51499.8 + 43213.5i 0.00746120 + 0.00626069i
\(545\) 2.19209e6 1.24320e7i 0.316131 1.79287i
\(546\) 1.25638e7 + 2.49255e6i 1.80359 + 0.357817i
\(547\) 2.17955e6 1.82886e6i 0.311457 0.261343i −0.473637 0.880720i \(-0.657059\pi\)
0.785094 + 0.619377i \(0.212615\pi\)
\(548\) 43404.6 + 75179.0i 0.00617426 + 0.0106941i
\(549\) 780851. + 1.49634e6i 0.110570 + 0.211885i
\(550\) −658246. + 1.14012e6i −0.0927858 + 0.160710i
\(551\) −2.71870e6 1.54185e7i −0.381490 2.16354i
\(552\) −5.73290e6 + 3.14891e6i −0.800805 + 0.439859i
\(553\) −3.63012e6 + 1.32126e6i −0.504787 + 0.183728i
\(554\) −1.20268e7 + 4.37739e6i −1.66485 + 0.605956i
\(555\) 303937. 1.42566e7i 0.0418842 1.96464i
\(556\) 35056.5 + 198815.i 0.00480930 + 0.0272749i
\(557\) 537968. 931788.i 0.0734715 0.127256i −0.826949 0.562277i \(-0.809926\pi\)
0.900421 + 0.435021i \(0.143259\pi\)
\(558\) 3.54269e6 1.12091e6i 0.481668 0.152400i
\(559\) 3.19809e6 + 5.53926e6i 0.432874 + 0.749760i
\(560\) 1.13762e7 9.54573e6i 1.53294 1.28629i
\(561\) 105179. + 309340.i 0.0141099 + 0.0414981i
\(562\) 2.25826e6 1.28072e7i 0.301601 1.71047i
\(563\) −3.37213e6 2.82955e6i −0.448367 0.376224i 0.390463 0.920619i \(-0.372315\pi\)
−0.838829 + 0.544395i \(0.816759\pi\)
\(564\) −36217.9 45080.3i −0.00479430 0.00596745i
\(565\) −4.36046e6 1.58708e6i −0.574661 0.209159i
\(566\) 8.41012e6 1.10347
\(567\) −9.76323e6 + 2.63702e6i −1.27537 + 0.344474i
\(568\) −780787. −0.101546
\(569\) −2.37185e6 863283.i −0.307119 0.111782i 0.183863 0.982952i \(-0.441140\pi\)
−0.490982 + 0.871170i \(0.663362\pi\)
\(570\) 9.43340e6 + 1.17417e7i 1.21613 + 1.51372i
\(571\) 6.63834e6 + 5.57023e6i 0.852058 + 0.714961i 0.960242 0.279169i \(-0.0900591\pi\)
−0.108184 + 0.994131i \(0.534504\pi\)
\(572\) 4736.81 26863.8i 0.000605335 0.00343303i
\(573\) 628123. + 1.84735e6i 0.0799205 + 0.235051i
\(574\) −6.87020e6 + 5.76478e6i −0.870341 + 0.730303i
\(575\) 4.45942e6 + 7.72394e6i 0.562482 + 0.974248i
\(576\) −5.77434e6 5.28058e6i −0.725181 0.663171i
\(577\) 4.96402e6 8.59793e6i 0.620717 1.07511i −0.368636 0.929574i \(-0.620175\pi\)
0.989352 0.145539i \(-0.0464917\pi\)
\(578\) 1.28748e6 + 7.30167e6i 0.160296 + 0.909081i
\(579\) −24981.7 + 1.17180e6i −0.00309688 + 0.145264i
\(580\) −323109. + 117602.i −0.0398822 + 0.0145159i
\(581\) −5.85120e6 + 2.12966e6i −0.719125 + 0.261740i
\(582\) −1.25299e7 + 6.88229e6i −1.53334 + 0.842220i
\(583\) 15012.1 + 85137.9i 0.00182924 + 0.0103741i
\(584\) −4.33929e6 + 7.51587e6i −0.526486 + 0.911900i
\(585\) −1.70111e7 725649.i −2.05514 0.0876672i
\(586\) −6.14935e6 1.06510e7i −0.739750 1.28129i
\(587\) 8.61774e6 7.23114e6i 1.03228 0.866187i 0.0411608 0.999153i \(-0.486894\pi\)
0.991121 + 0.132966i \(0.0424500\pi\)
\(588\) 102663. + 20367.4i 0.0122453 + 0.00242937i
\(589\) −946559. + 5.36821e6i −0.112424 + 0.637589i
\(590\) 1.38059e7 + 1.15846e7i 1.63281 + 1.37009i
\(591\) −854203. + 2.19984e6i −0.100599 + 0.259073i
\(592\) 1.07403e7 + 3.90915e6i 1.25954 + 0.458436i
\(593\) 9.00454e6 1.05154 0.525769 0.850628i \(-0.323778\pi\)
0.525769 + 0.850628i \(0.323778\pi\)
\(594\) 367684. + 1.25445e6i 0.0427572 + 0.145877i
\(595\) −4.94284e6 −0.572380
\(596\) −26700.7 9718.27i −0.00307899 0.00112066i
\(597\) 3.72588e6 575378.i 0.427851 0.0660720i
\(598\) −8.59236e6 7.20985e6i −0.982561 0.824467i
\(599\) 2.83453e6 1.60754e7i 0.322786 1.83061i −0.202011 0.979383i \(-0.564748\pi\)
0.524797 0.851227i \(-0.324141\pi\)
\(600\) −7.03301e6 + 8.02772e6i −0.797560 + 0.910362i
\(601\) −4.97312e6 + 4.17294e6i −0.561620 + 0.471255i −0.878853 0.477092i \(-0.841691\pi\)
0.317233 + 0.948348i \(0.397246\pi\)
\(602\) 3.71449e6 + 6.43369e6i 0.417742 + 0.723550i
\(603\) 529155. + 3.98845e6i 0.0592638 + 0.446695i
\(604\) 59742.4 103477.i 0.00666332 0.0115412i
\(605\) 2.27680e6 + 1.29124e7i 0.252892 + 1.43422i
\(606\) 3.30860e6 + 2.00544e6i 0.365985 + 0.221834i
\(607\) 1.25383e7 4.56357e6i 1.38123 0.502728i 0.458682 0.888601i \(-0.348322\pi\)
0.922552 + 0.385873i \(0.126100\pi\)
\(608\) −370786. + 134955.i −0.0406784 + 0.0148057i
\(609\) 1.75794e7 + 1.06554e7i 1.92071 + 1.16420i
\(610\) 573125. + 3.25036e6i 0.0623627 + 0.353677i
\(611\) −2.91026e6 + 5.04071e6i −0.315376 + 0.546247i
\(612\) −5935.23 44736.3i −0.000640559 0.00482815i
\(613\) 9.01424e6 + 1.56131e7i 0.968897 + 1.67818i 0.698758 + 0.715358i \(0.253736\pi\)
0.270139 + 0.962821i \(0.412930\pi\)
\(614\) 4.46018e6 3.74253e6i 0.477454 0.400631i
\(615\) 7.85606e6 8.96718e6i 0.837562 0.956022i
\(616\) −322920. + 1.83137e6i −0.0342881 + 0.194458i
\(617\) 1.96709e6 + 1.65058e6i 0.208023 + 0.174552i 0.740846 0.671675i \(-0.234425\pi\)
−0.532824 + 0.846226i \(0.678869\pi\)
\(618\) 1.22931e7 1.89839e6i 1.29476 0.199947i
\(619\) −8.86766e6 3.22756e6i −0.930213 0.338570i −0.167919 0.985801i \(-0.553705\pi\)
−0.762294 + 0.647231i \(0.775927\pi\)
\(620\) 119715. 0.0125075
\(621\) 8.60541e6 + 2.09203e6i 0.895453 + 0.217691i
\(622\) −1.19719e7 −1.24076
\(623\) 7.39099e6 + 2.69010e6i 0.762926 + 0.277682i
\(624\) 4.93989e6 1.27218e7i 0.507874 1.30793i
\(625\) −5.46492e6 4.58561e6i −0.559608 0.469567i
\(626\) 378517. 2.14668e6i 0.0386056 0.218943i
\(627\) −1.88102e6 373179.i −0.191084 0.0379096i
\(628\) 171856. 144204.i 0.0173887 0.0145908i
\(629\) −1.90211e6 3.29455e6i −0.191694 0.332024i
\(630\) −1.97579e7 842821.i −1.98330 0.0846027i
\(631\) −3.82533e6 + 6.62566e6i −0.382468 + 0.662454i −0.991414 0.130757i \(-0.958259\pi\)
0.608946 + 0.793211i \(0.291592\pi\)
\(632\) 702959. + 3.98668e6i 0.0700063 + 0.397026i
\(633\) 1.46824e6 806460.i 0.145642 0.0799969i
\(634\) 7.10354e6 2.58548e6i 0.701861 0.255457i
\(635\) −1.28485e7 + 4.67645e6i −1.26449 + 0.460238i
\(636\) 254.506 11938.0i 2.49491e−5 0.00117027i
\(637\) −1.82935e6 1.03747e7i −0.178627 1.01304i
\(638\) 1.32858e6 2.30116e6i 0.129222 0.223818i
\(639\) 780140. + 713430.i 0.0755823 + 0.0691193i
\(640\) −7.90924e6 1.36992e7i −0.763282 1.32204i
\(641\) −1.32103e7 + 1.10848e7i −1.26990 + 1.06557i −0.275343 + 0.961346i \(0.588792\pi\)
−0.994554 + 0.104224i \(0.966764\pi\)
\(642\) −1.60314e6 4.71494e6i −0.153509 0.451480i
\(643\) 887197. 5.03154e6i 0.0846238 0.479925i −0.912813 0.408377i \(-0.866095\pi\)
0.997437 0.0715483i \(-0.0227940\pi\)
\(644\) −164425. 137969.i −0.0156226 0.0131089i
\(645\) −6.18509e6 7.69856e6i −0.585392 0.728635i
\(646\) 3.77584e6 + 1.37429e6i 0.355986 + 0.129568i
\(647\) −7.51130e6 −0.705431 −0.352715 0.935731i \(-0.614742\pi\)
−0.352715 + 0.935731i \(0.614742\pi\)
\(648\) 944790. + 1.05554e7i 0.0883889 + 0.987502i
\(649\) −2.29463e6 −0.213846
\(650\) −1.71985e7 6.25975e6i −1.59664 0.581130i
\(651\) −4.48259e6 5.57946e6i −0.414549 0.515988i
\(652\) 98224.3 + 82420.0i 0.00904899 + 0.00759300i
\(653\) 2.18834e6 1.24107e7i 0.200832 1.13897i −0.703034 0.711156i \(-0.748172\pi\)
0.903866 0.427816i \(-0.140717\pi\)
\(654\) −4.33749e6 1.27568e7i −0.396547 1.16627i
\(655\) −4.82297e6 + 4.04695e6i −0.439249 + 0.368574i
\(656\) 4.77778e6 + 8.27537e6i 0.433478 + 0.750806i
\(657\) 1.12032e7 3.54469e6i 1.01258 0.320380i
\(658\) −3.38018e6 + 5.85464e6i −0.304351 + 0.527152i
\(659\) 92980.5 + 527319.i 0.00834024 + 0.0472998i 0.988694 0.149948i \(-0.0479107\pi\)
−0.980354 + 0.197248i \(0.936800\pi\)
\(660\) −897.672 + 42106.6i −8.02154e−5 + 0.00376262i
\(661\) −3.21197e6 + 1.16906e6i −0.285935 + 0.104072i −0.481006 0.876717i \(-0.659729\pi\)
0.195071 + 0.980789i \(0.437506\pi\)
\(662\) 1.17206e7 4.26596e6i 1.03946 0.378331i
\(663\) −3.98129e6 + 2.18680e6i −0.351754 + 0.193208i
\(664\) 1.13306e6 + 6.42591e6i 0.0997318 + 0.565607i
\(665\) 1.45055e7 2.51242e7i 1.27197 2.20312i
\(666\) −7.04150e6 1.34936e7i −0.615148 1.17880i
\(667\) −9.00072e6 1.55897e7i −0.783362 1.35682i
\(668\) −285356. + 239442.i −0.0247426 + 0.0207615i
\(669\) −7.46657e6 1.48131e6i −0.644994 0.127962i
\(670\) −1.36620e6 + 7.74812e6i −0.117579 + 0.666821i
\(671\) −321910. 270114.i −0.0276012 0.0231601i
\(672\) 187530. 482948.i 0.0160194 0.0412551i
\(673\) 1.94973e7 + 7.09644e6i 1.65935 + 0.603952i 0.990260 0.139233i \(-0.0444637\pi\)
0.669086 + 0.743185i \(0.266686\pi\)
\(674\) 2.13675e6 0.181177
\(675\) 1.43624e7 1.59478e6i 1.21330 0.134723i
\(676\) 180195. 0.0151662
\(677\) −4.70694e6 1.71318e6i −0.394700 0.143659i 0.137043 0.990565i \(-0.456240\pi\)
−0.531742 + 0.846906i \(0.678462\pi\)
\(678\) −4.89485e6 + 755899.i −0.408945 + 0.0631524i
\(679\) 2.10932e7 + 1.76993e7i 1.75577 + 1.47326i
\(680\) −899438. + 5.10096e6i −0.0745931 + 0.423039i
\(681\) −1.91797e6 + 2.18924e6i −0.158480 + 0.180894i
\(682\) −708691. + 594662.i −0.0583440 + 0.0489564i
\(683\) −7.69704e6 1.33317e7i −0.631353 1.09353i −0.987275 0.159019i \(-0.949167\pi\)
0.355923 0.934515i \(-0.384167\pi\)
\(684\) 244810. + 101116.i 0.0200073 + 0.00826384i
\(685\) −6.74526e6 + 1.16831e7i −0.549253 + 0.951334i
\(686\) 726380. + 4.11950e6i 0.0589323 + 0.334222i
\(687\) −8.85469e6 5.36709e6i −0.715783 0.433858i
\(688\) 7.43800e6 2.70721e6i 0.599081 0.218048i
\(689\) −1.12939e6 + 411065.i −0.0906351 + 0.0329885i
\(690\) 1.48097e7 + 8.97657e6i 1.18419 + 0.717774i
\(691\) −65140.1 369428.i −0.00518983 0.0294330i 0.982103 0.188345i \(-0.0603124\pi\)
−0.987293 + 0.158912i \(0.949201\pi\)
\(692\) 138573. 240016.i 0.0110005 0.0190535i
\(693\) 1.99604e6 1.53479e6i 0.157883 0.121399i
\(694\) 1.33733e6 + 2.31632e6i 0.105400 + 0.182558i
\(695\) −2.40334e7 + 2.01664e7i −1.88735 + 1.58368i
\(696\) 1.41952e7 1.62028e7i 1.11075 1.26785i
\(697\) 552283. 3.13215e6i 0.0430606 0.244209i
\(698\) −3.04679e6 2.55656e6i −0.236703 0.198617i
\(699\) 2.51114e6 387789.i 0.194392 0.0300195i
\(700\) −329114. 119788.i −0.0253864 0.00923991i
\(701\) 1.41346e7 1.08639 0.543197 0.839605i \(-0.317214\pi\)
0.543197 + 0.839605i \(0.317214\pi\)
\(702\) −1.62872e7 + 8.06239e6i −1.24739 + 0.617477i
\(703\) 2.23281e7 1.70397
\(704\) 1.83068e6 + 666311.i 0.139213 + 0.0506694i
\(705\) 3.25288e6 8.37719e6i 0.246488 0.634783i
\(706\) −3.47173e6 2.91313e6i −0.262141 0.219962i
\(707\) 1.29404e6 7.33886e6i 0.0973641 0.552179i
\(708\) 310876. + 61675.2i 0.0233079 + 0.00462410i
\(709\) −1.33424e7 + 1.11956e7i −0.996826 + 0.836436i −0.986542 0.163511i \(-0.947718\pi\)
−0.0102846 + 0.999947i \(0.503274\pi\)
\(710\) 1.03363e6 + 1.79030e6i 0.0769518 + 0.133284i
\(711\) 2.94038e6 4.62569e6i 0.218137 0.343165i
\(712\) 4.12108e6 7.13792e6i 0.304657 0.527681i
\(713\) 1.08834e6 + 6.17226e6i 0.0801751 + 0.454696i
\(714\) −4.62415e6 + 2.53991e6i −0.339458 + 0.186454i
\(715\) 3.98350e6 1.44987e6i 0.291407 0.106063i
\(716\) −170429. + 62031.0i −0.0124240 + 0.00452196i
\(717\) −461540. + 2.16492e7i −0.0335283 + 1.57269i
\(718\) 3.20787e6 + 1.81927e7i 0.232223 + 1.31700i
\(719\) −9.46989e6 + 1.64023e7i −0.683160 + 1.18327i 0.290851 + 0.956768i \(0.406062\pi\)
−0.974011 + 0.226500i \(0.927272\pi\)
\(720\) −4.53990e6 + 2.05757e7i −0.326374 + 1.47919i
\(721\) −1.19794e7 2.07489e7i −0.858217 1.48648i
\(722\) −7.24679e6 + 6.08078e6i −0.517372 + 0.434127i
\(723\) 7.46916e6 + 2.19673e7i 0.531405 + 1.56290i
\(724\) −65052.4 + 368930.i −0.00461229 + 0.0261576i
\(725\) −2.25013e7 1.88808e7i −1.58987 1.33406i
\(726\) 8.76510e6 + 1.09099e7i 0.617185 + 0.768208i
\(727\) 6.37724e6 + 2.32113e6i 0.447504 + 0.162878i 0.555935 0.831226i \(-0.312360\pi\)
−0.108431 + 0.994104i \(0.534583\pi\)
\(728\) −2.58531e7 −1.80794
\(729\) 8.70082e6 1.14099e7i 0.606375 0.795179i
\(730\) 2.29779e7 1.59589
\(731\) −2.47566e6 901068.i −0.171356 0.0623683i
\(732\) 36352.1 + 45247.3i 0.00250756 + 0.00312115i
\(733\) 1.06213e6 + 891233.i 0.0730160 + 0.0612677i 0.678565 0.734540i \(-0.262602\pi\)
−0.605549 + 0.795808i \(0.707047\pi\)
\(734\) 846950. 4.80329e6i 0.0580253 0.329078i
\(735\) 5.23598e6 + 1.53994e7i 0.357503 + 1.05144i
\(736\) −347541. + 291622.i −0.0236490 + 0.0198438i
\(737\) −500859. 867513.i −0.0339662 0.0588312i
\(738\) 2.74170e6 1.24259e7i 0.185302 0.839822i
\(739\) 3.67789e6 6.37029e6i 0.247735 0.429090i −0.715162 0.698959i \(-0.753647\pi\)
0.962897 + 0.269869i \(0.0869804\pi\)
\(740\) −85151.7 482919.i −0.00571629 0.0324187i
\(741\) 568241. 2.66542e7i 0.0380178 1.78328i
\(742\) −1.31176e6 + 477440.i −0.0874668 + 0.0318353i
\(743\) 6.39066e6 2.32601e6i 0.424691 0.154575i −0.120828 0.992674i \(-0.538555\pi\)
0.545519 + 0.838098i \(0.316333\pi\)
\(744\) −6.57364e6 + 3.61071e6i −0.435385 + 0.239144i
\(745\) −766780. 4.34862e6i −0.0506151 0.287052i
\(746\) 2.13679e6 3.70102e6i 0.140577 0.243486i
\(747\) 4.73944e6 7.45590e6i 0.310760 0.488876i
\(748\) 5617.86 + 9730.41i 0.000367127 + 0.000635883i
\(749\) −7.34804e6 + 6.16574e6i −0.478594 + 0.401588i
\(750\) 5.01225e6 + 994390.i 0.325372 + 0.0645511i
\(751\) −2.44936e6 + 1.38910e7i −0.158472 + 0.898740i 0.797070 + 0.603886i \(0.206382\pi\)
−0.955542 + 0.294854i \(0.904729\pi\)
\(752\) 5.51779e6 + 4.62997e6i 0.355812 + 0.298562i
\(753\) 1.04406e7 2.68878e7i 0.671024 1.72810i
\(754\) 3.47128e7 + 1.26344e7i 2.22362 + 0.809333i
\(755\) 1.85685e7 1.18552
\(756\) −311675. + 154283.i −0.0198334 + 0.00981782i
\(757\) −1.29168e7 −0.819247 −0.409623 0.912255i \(-0.634340\pi\)
−0.409623 + 0.912255i \(0.634340\pi\)
\(758\) −2.00795e6 730833.i