Properties

Label 7.6.c.a.4.2
Level 7
Weight 6
Character 7.4
Analytic conductor 1.123
Analytic rank 0
Dimension 4
CM No
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 7 \)
Weight: \( k \) = \( 6 \)
Character orbit: \([\chi]\) = 7.c (of order \(3\) and degree \(2\))

Newform invariants

Self dual: No
Analytic conductor: \(1.12268673869\)
Analytic rank: \(0\)
Dimension: \(4\)
Relative dimension: \(2\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\Q(\sqrt{-3}, \sqrt{37})\)
Coefficient ring: \(\Z[a_1, \ldots, a_{4}]\)
Coefficient ring index: \( 2^{2} \)
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 4.2
Root \(-1.27069 - 2.20090i\)
Character \(\chi\) = 7.4
Dual form 7.6.c.a.2.2

$q$-expansion

\(f(q)\) \(=\) \(q+(2.54138 + 4.40180i) q^{2} +(-1.04138 + 1.80373i) q^{3} +(3.08276 - 5.33950i) q^{4} +(-20.9138 - 36.2238i) q^{5} -10.5862 q^{6} +(-127.159 + 25.2522i) q^{7} +193.986 q^{8} +(119.331 + 206.687i) q^{9} +O(q^{10})\) \(q+(2.54138 + 4.40180i) q^{2} +(-1.04138 + 1.80373i) q^{3} +(3.08276 - 5.33950i) q^{4} +(-20.9138 - 36.2238i) q^{5} -10.5862 q^{6} +(-127.159 + 25.2522i) q^{7} +193.986 q^{8} +(119.331 + 206.687i) q^{9} +(106.300 - 184.117i) q^{10} +(-36.0482 + 62.4374i) q^{11} +(6.42066 + 11.1209i) q^{12} -632.317 q^{13} +(-434.314 - 495.552i) q^{14} +87.1170 q^{15} +(394.345 + 683.025i) q^{16} +(987.962 - 1711.20i) q^{17} +(-606.531 + 1050.54i) q^{18} +(932.463 + 1615.07i) q^{19} -257.889 q^{20} +(86.8727 - 255.656i) q^{21} -366.449 q^{22} +(-206.855 - 358.284i) q^{23} +(-202.014 + 349.898i) q^{24} +(687.725 - 1191.17i) q^{25} +(-1606.96 - 2783.34i) q^{26} -1003.19 q^{27} +(-257.166 + 756.810i) q^{28} +731.934 q^{29} +(221.398 + 383.472i) q^{30} +(-3061.59 + 5302.83i) q^{31} +(1099.42 - 1904.25i) q^{32} +(-75.0799 - 130.042i) q^{33} +10043.2 q^{34} +(3574.10 + 4078.05i) q^{35} +1471.48 q^{36} +(-5175.19 - 8963.69i) q^{37} +(-4739.49 + 8209.03i) q^{38} +(658.483 - 1140.53i) q^{39} +(-4056.99 - 7026.92i) q^{40} -3529.84 q^{41} +(1346.13 - 267.324i) q^{42} -14515.2 q^{43} +(222.256 + 384.959i) q^{44} +(4991.33 - 8645.24i) q^{45} +(1051.40 - 1821.07i) q^{46} +(10711.7 + 18553.1i) q^{47} -1642.65 q^{48} +(15531.7 - 6422.06i) q^{49} +6991.08 q^{50} +(2057.69 + 3564.03i) q^{51} +(-1949.28 + 3376.26i) q^{52} +(-6289.73 + 10894.1i) q^{53} +(-2549.48 - 4415.83i) q^{54} +3015.62 q^{55} +(-24667.0 + 4898.57i) q^{56} -3884.20 q^{57} +(1860.12 + 3221.83i) q^{58} +(18067.0 - 31292.9i) q^{59} +(268.561 - 465.161i) q^{60} +(-2012.40 - 3485.58i) q^{61} -31122.6 q^{62} +(-20393.3 - 23268.7i) q^{63} +36414.2 q^{64} +(13224.2 + 22904.9i) q^{65} +(381.613 - 660.974i) q^{66} +(-7782.97 + 13480.5i) q^{67} +(-6091.31 - 10550.5i) q^{68} +861.661 q^{69} +(-8867.61 + 26096.4i) q^{70} +12180.8 q^{71} +(23148.6 + 40094.5i) q^{72} +(-9794.56 + 16964.7i) q^{73} +(26304.3 - 45560.3i) q^{74} +(1432.37 + 2480.93i) q^{75} +11498.2 q^{76} +(3007.17 - 8849.75i) q^{77} +6693.83 q^{78} +(-18044.9 - 31254.7i) q^{79} +(16494.5 - 28569.3i) q^{80} +(-27952.7 + 48415.6i) q^{81} +(-8970.66 - 15537.6i) q^{82} -24572.6 q^{83} +(-1097.27 - 1251.99i) q^{84} -82648.2 q^{85} +(-36888.7 - 63893.2i) q^{86} +(-762.222 + 1320.21i) q^{87} +(-6992.86 + 12112.0i) q^{88} +(35121.7 + 60832.5i) q^{89} +50739.5 q^{90} +(80404.6 - 15967.4i) q^{91} -2550.74 q^{92} +(-6376.56 - 11044.5i) q^{93} +(-54444.8 + 94301.2i) q^{94} +(39002.7 - 67554.7i) q^{95} +(2289.83 + 3966.10i) q^{96} +105758. q^{97} +(67740.5 + 52046.4i) q^{98} -17206.7 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 4q - 2q^{2} + 8q^{3} - 12q^{4} + 38q^{5} - 164q^{6} - 168q^{7} + 192q^{8} + 380q^{9} + O(q^{10}) \) \( 4q - 2q^{2} + 8q^{3} - 12q^{4} + 38q^{5} - 164q^{6} - 168q^{7} + 192q^{8} + 380q^{9} + 778q^{10} - 424q^{11} + 196q^{12} - 1848q^{13} - 2674q^{14} + 1784q^{15} + 2064q^{16} + 2346q^{17} - 212q^{18} + 360q^{19} - 3416q^{20} - 1526q^{21} + 4252q^{22} + 12q^{23} - 1392q^{24} - 1872q^{25} - 1148q^{26} + 5744q^{27} + 2548q^{28} - 14104q^{29} - 5258q^{30} - 3548q^{31} + 8096q^{32} + 3398q^{33} + 14844q^{34} + 27496q^{35} - 2192q^{36} - 11090q^{37} - 20138q^{38} - 1624q^{39} - 15936q^{40} + 7000q^{41} - 3472q^{42} - 25360q^{43} - 5948q^{44} - 1300q^{45} + 5118q^{46} + 22956q^{47} + 22432q^{48} + 4900q^{49} + 59984q^{50} + 384q^{51} + 1400q^{52} - 3042q^{53} - 32546q^{54} - 50152q^{55} - 57792q^{56} - 38116q^{57} + 58852q^{58} + 65808q^{59} - 14084q^{60} + 42486q^{61} - 98724q^{62} - 4760q^{63} + 70912q^{64} + 3164q^{65} + 25894q^{66} - 42312q^{67} - 5460q^{68} + 10308q^{69} - 113050q^{70} - 4416q^{71} + 32448q^{72} + 50506q^{73} + 47370q^{74} + 35608q^{75} + 77672q^{76} + 65338q^{77} + 55048q^{78} - 9004q^{79} - 68816q^{80} - 51178q^{81} - 67732q^{82} - 208656q^{83} + 44492q^{84} - 106212q^{85} - 86776q^{86} - 80008q^{87} + 20496q^{88} + 26666q^{89} + 261304q^{90} + 135632q^{91} - 20568q^{92} - 38718q^{93} - 98034q^{94} + 198140q^{95} - 54880q^{96} + 418264q^{97} + 98686q^{98} - 133888q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/7\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.54138 + 4.40180i 0.449257 + 0.778136i 0.998338 0.0576333i \(-0.0183554\pi\)
−0.549081 + 0.835769i \(0.685022\pi\)
\(3\) −1.04138 + 1.80373i −0.0668046 + 0.115709i −0.897493 0.441029i \(-0.854614\pi\)
0.830688 + 0.556738i \(0.187947\pi\)
\(4\) 3.08276 5.33950i 0.0963363 0.166859i
\(5\) −20.9138 36.2238i −0.374118 0.647991i 0.616077 0.787686i \(-0.288721\pi\)
−0.990195 + 0.139695i \(0.955388\pi\)
\(6\) −10.5862 −0.120050
\(7\) −127.159 + 25.2522i −0.980846 + 0.194784i
\(8\) 193.986 1.07163
\(9\) 119.331 + 206.687i 0.491074 + 0.850566i
\(10\) 106.300 184.117i 0.336150 0.582229i
\(11\) −36.0482 + 62.4374i −0.0898260 + 0.155583i −0.907437 0.420187i \(-0.861964\pi\)
0.817611 + 0.575770i \(0.195298\pi\)
\(12\) 6.42066 + 11.1209i 0.0128714 + 0.0222940i
\(13\) −632.317 −1.03771 −0.518856 0.854862i \(-0.673642\pi\)
−0.518856 + 0.854862i \(0.673642\pi\)
\(14\) −434.314 495.552i −0.592220 0.675724i
\(15\) 87.1170 0.0999712
\(16\) 394.345 + 683.025i 0.385102 + 0.667017i
\(17\) 987.962 1711.20i 0.829121 1.43608i −0.0696071 0.997574i \(-0.522175\pi\)
0.898728 0.438506i \(-0.144492\pi\)
\(18\) −606.531 + 1050.54i −0.441237 + 0.764245i
\(19\) 932.463 + 1615.07i 0.592581 + 1.02638i 0.993883 + 0.110434i \(0.0352242\pi\)
−0.401303 + 0.915945i \(0.631443\pi\)
\(20\) −257.889 −0.144164
\(21\) 86.8727 255.656i 0.0429868 0.126505i
\(22\) −366.449 −0.161420
\(23\) −206.855 358.284i −0.0815356 0.141224i 0.822374 0.568947i \(-0.192649\pi\)
−0.903910 + 0.427723i \(0.859316\pi\)
\(24\) −202.014 + 349.898i −0.0715901 + 0.123998i
\(25\) 687.725 1191.17i 0.220072 0.381176i
\(26\) −1606.96 2783.34i −0.466199 0.807481i
\(27\) −1003.19 −0.264833
\(28\) −257.166 + 756.810i −0.0619896 + 0.182428i
\(29\) 731.934 0.161613 0.0808066 0.996730i \(-0.474250\pi\)
0.0808066 + 0.996730i \(0.474250\pi\)
\(30\) 221.398 + 383.472i 0.0449128 + 0.0777912i
\(31\) −3061.59 + 5302.83i −0.572193 + 0.991067i 0.424148 + 0.905593i \(0.360574\pi\)
−0.996340 + 0.0854740i \(0.972760\pi\)
\(32\) 1099.42 1904.25i 0.189797 0.328738i
\(33\) −75.0799 130.042i −0.0120016 0.0207874i
\(34\) 10043.2 1.48995
\(35\) 3574.10 + 4078.05i 0.493170 + 0.562707i
\(36\) 1471.48 0.189233
\(37\) −5175.19 8963.69i −0.621473 1.07642i −0.989212 0.146493i \(-0.953201\pi\)
0.367739 0.929929i \(-0.380132\pi\)
\(38\) −4739.49 + 8209.03i −0.532442 + 0.922216i
\(39\) 658.483 1140.53i 0.0693240 0.120073i
\(40\) −4056.99 7026.92i −0.400917 0.694408i
\(41\) −3529.84 −0.327941 −0.163970 0.986465i \(-0.552430\pi\)
−0.163970 + 0.986465i \(0.552430\pi\)
\(42\) 1346.13 267.324i 0.117750 0.0233838i
\(43\) −14515.2 −1.19716 −0.598581 0.801062i \(-0.704269\pi\)
−0.598581 + 0.801062i \(0.704269\pi\)
\(44\) 222.256 + 384.959i 0.0173070 + 0.0299766i
\(45\) 4991.33 8645.24i 0.367439 0.636423i
\(46\) 1051.40 1821.07i 0.0732608 0.126892i
\(47\) 10711.7 + 18553.1i 0.707314 + 1.22510i 0.965850 + 0.259102i \(0.0834265\pi\)
−0.258536 + 0.966002i \(0.583240\pi\)
\(48\) −1642.65 −0.102906
\(49\) 15531.7 6422.06i 0.924118 0.382106i
\(50\) 6991.08 0.395475
\(51\) 2057.69 + 3564.03i 0.110778 + 0.191874i
\(52\) −1949.28 + 3376.26i −0.0999693 + 0.173152i
\(53\) −6289.73 + 10894.1i −0.307569 + 0.532725i −0.977830 0.209400i \(-0.932849\pi\)
0.670261 + 0.742125i \(0.266182\pi\)
\(54\) −2549.48 4415.83i −0.118978 0.206076i
\(55\) 3015.62 0.134422
\(56\) −24667.0 + 4898.57i −1.05111 + 0.208737i
\(57\) −3884.20 −0.158349
\(58\) 1860.12 + 3221.83i 0.0726059 + 0.125757i
\(59\) 18067.0 31292.9i 0.675702 1.17035i −0.300561 0.953763i \(-0.597174\pi\)
0.976263 0.216588i \(-0.0694928\pi\)
\(60\) 268.561 465.161i 0.00963086 0.0166811i
\(61\) −2012.40 3485.58i −0.0692451 0.119936i 0.829324 0.558768i \(-0.188726\pi\)
−0.898569 + 0.438832i \(0.855392\pi\)
\(62\) −31122.6 −1.02825
\(63\) −20393.3 23268.7i −0.647345 0.738621i
\(64\) 36414.2 1.11127
\(65\) 13224.2 + 22904.9i 0.388226 + 0.672428i
\(66\) 381.613 660.974i 0.0107836 0.0186777i
\(67\) −7782.97 + 13480.5i −0.211816 + 0.366876i −0.952283 0.305217i \(-0.901271\pi\)
0.740467 + 0.672093i \(0.234604\pi\)
\(68\) −6091.31 10550.5i −0.159749 0.276693i
\(69\) 861.661 0.0217878
\(70\) −8867.61 + 26096.4i −0.216303 + 0.636553i
\(71\) 12180.8 0.286766 0.143383 0.989667i \(-0.454202\pi\)
0.143383 + 0.989667i \(0.454202\pi\)
\(72\) 23148.6 + 40094.5i 0.526251 + 0.911494i
\(73\) −9794.56 + 16964.7i −0.215119 + 0.372596i −0.953309 0.301996i \(-0.902347\pi\)
0.738191 + 0.674592i \(0.235680\pi\)
\(74\) 26304.3 45560.3i 0.558402 0.967181i
\(75\) 1432.37 + 2480.93i 0.0294037 + 0.0509286i
\(76\) 11498.2 0.228348
\(77\) 3007.17 8849.75i 0.0578004 0.170100i
\(78\) 6693.83 0.124577
\(79\) −18044.9 31254.7i −0.325302 0.563439i 0.656272 0.754525i \(-0.272133\pi\)
−0.981573 + 0.191085i \(0.938799\pi\)
\(80\) 16494.5 28569.3i 0.288147 0.499085i
\(81\) −27952.7 + 48415.6i −0.473382 + 0.819922i
\(82\) −8970.66 15537.6i −0.147330 0.255182i
\(83\) −24572.6 −0.391522 −0.195761 0.980652i \(-0.562718\pi\)
−0.195761 + 0.980652i \(0.562718\pi\)
\(84\) −1097.27 1251.99i −0.0169674 0.0193598i
\(85\) −82648.2 −1.24076
\(86\) −36888.7 63893.2i −0.537833 0.931555i
\(87\) −762.222 + 1320.21i −0.0107965 + 0.0187001i
\(88\) −6992.86 + 12112.0i −0.0962605 + 0.166728i
\(89\) 35121.7 + 60832.5i 0.470002 + 0.814068i 0.999412 0.0342986i \(-0.0109197\pi\)
−0.529409 + 0.848367i \(0.677586\pi\)
\(90\) 50739.5 0.660298
\(91\) 80404.6 15967.4i 1.01784 0.202130i
\(92\) −2550.74 −0.0314193
\(93\) −6376.56 11044.5i −0.0764503 0.132416i
\(94\) −54444.8 + 94301.2i −0.635531 + 1.10077i
\(95\) 39002.7 67554.7i 0.443390 0.767974i
\(96\) 2289.83 + 3966.10i 0.0253586 + 0.0439224i
\(97\) 105758. 1.14126 0.570630 0.821207i \(-0.306699\pi\)
0.570630 + 0.821207i \(0.306699\pi\)
\(98\) 67740.5 + 52046.4i 0.712497 + 0.547426i
\(99\) −17206.7 −0.176445
\(100\) −4240.18 7344.22i −0.0424018 0.0734422i
\(101\) −18230.9 + 31576.8i −0.177830 + 0.308010i −0.941137 0.338025i \(-0.890241\pi\)
0.763307 + 0.646036i \(0.223574\pi\)
\(102\) −10458.8 + 18115.1i −0.0995359 + 0.172401i
\(103\) −32260.0 55876.0i −0.299621 0.518958i 0.676428 0.736508i \(-0.263527\pi\)
−0.976049 + 0.217550i \(0.930193\pi\)
\(104\) −122661. −1.11205
\(105\) −11077.7 + 2199.89i −0.0980563 + 0.0194728i
\(106\) −63938.4 −0.552710
\(107\) −33022.8 57197.2i −0.278840 0.482964i 0.692257 0.721651i \(-0.256616\pi\)
−0.971097 + 0.238687i \(0.923283\pi\)
\(108\) −3092.59 + 5356.52i −0.0255131 + 0.0441900i
\(109\) 18969.0 32855.3i 0.152925 0.264874i −0.779377 0.626556i \(-0.784464\pi\)
0.932302 + 0.361682i \(0.117797\pi\)
\(110\) 7663.85 + 13274.2i 0.0603900 + 0.104599i
\(111\) 21557.4 0.166069
\(112\) −67392.2 76894.5i −0.507650 0.579229i
\(113\) 123802. 0.912080 0.456040 0.889959i \(-0.349267\pi\)
0.456040 + 0.889959i \(0.349267\pi\)
\(114\) −9871.22 17097.5i −0.0711392 0.123217i
\(115\) −8652.27 + 14986.2i −0.0610078 + 0.105669i
\(116\) 2256.38 3908.16i 0.0155692 0.0269667i
\(117\) −75455.1 130692.i −0.509594 0.882642i
\(118\) 183660. 1.21426
\(119\) −82416.5 + 242542.i −0.533515 + 1.57007i
\(120\) 16899.5 0.107132
\(121\) 77926.6 + 134973.i 0.483863 + 0.838075i
\(122\) 10228.5 17716.4i 0.0622177 0.107764i
\(123\) 3675.91 6366.86i 0.0219079 0.0379457i
\(124\) 18876.3 + 32694.7i 0.110246 + 0.190952i
\(125\) −188243. −1.07757
\(126\) 50597.3 148902.i 0.283923 0.835553i
\(127\) 128724. 0.708189 0.354095 0.935210i \(-0.384789\pi\)
0.354095 + 0.935210i \(0.384789\pi\)
\(128\) 57361.0 + 99352.2i 0.309451 + 0.535985i
\(129\) 15115.9 26181.5i 0.0799760 0.138522i
\(130\) −67215.3 + 116420.i −0.348827 + 0.604186i
\(131\) 73951.1 + 128087.i 0.376501 + 0.652120i 0.990551 0.137148i \(-0.0437936\pi\)
−0.614049 + 0.789268i \(0.710460\pi\)
\(132\) −925.814 −0.00462476
\(133\) −159355. 181824.i −0.781153 0.891295i
\(134\) −79118.0 −0.380639
\(135\) 20980.5 + 36339.3i 0.0990789 + 0.171610i
\(136\) 191651. 331950.i 0.888514 1.53895i
\(137\) 45578.7 78944.6i 0.207472 0.359353i −0.743445 0.668797i \(-0.766810\pi\)
0.950918 + 0.309444i \(0.100143\pi\)
\(138\) 2189.81 + 3792.86i 0.00978833 + 0.0169539i
\(139\) −334657. −1.46914 −0.734570 0.678533i \(-0.762616\pi\)
−0.734570 + 0.678533i \(0.762616\pi\)
\(140\) 32792.9 6512.26i 0.141403 0.0280809i
\(141\) −44619.7 −0.189007
\(142\) 30955.9 + 53617.3i 0.128832 + 0.223143i
\(143\) 22793.9 39480.2i 0.0932135 0.161451i
\(144\) −94115.1 + 163012.i −0.378228 + 0.655110i
\(145\) −15307.5 26513.4i −0.0604623 0.104724i
\(146\) −99566.9 −0.386574
\(147\) −4590.74 + 34702.7i −0.0175222 + 0.132455i
\(148\) −63815.5 −0.239482
\(149\) −69135.7 119746.i −0.255115 0.441873i 0.709812 0.704392i \(-0.248780\pi\)
−0.964927 + 0.262519i \(0.915447\pi\)
\(150\) −7280.38 + 12610.0i −0.0264196 + 0.0457601i
\(151\) −55584.6 + 96275.4i −0.198386 + 0.343615i −0.948005 0.318254i \(-0.896903\pi\)
0.749619 + 0.661870i \(0.230237\pi\)
\(152\) 180885. + 313302.i 0.635029 + 1.09990i
\(153\) 471578. 1.62864
\(154\) 46597.2 9253.63i 0.158328 0.0314420i
\(155\) 256118. 0.856270
\(156\) −4059.90 7031.95i −0.0133568 0.0231347i
\(157\) 19074.3 33037.6i 0.0617587 0.106969i −0.833493 0.552530i \(-0.813662\pi\)
0.895252 + 0.445561i \(0.146996\pi\)
\(158\) 91717.9 158860.i 0.292288 0.506258i
\(159\) −13100.0 22689.9i −0.0410941 0.0711770i
\(160\) −91972.3 −0.284025
\(161\) 35350.9 + 40335.4i 0.107482 + 0.122637i
\(162\) −284154. −0.850681
\(163\) 106452. + 184381.i 0.313824 + 0.543559i 0.979187 0.202961i \(-0.0650565\pi\)
−0.665363 + 0.746520i \(0.731723\pi\)
\(164\) −10881.7 + 18847.6i −0.0315926 + 0.0547200i
\(165\) −3140.41 + 5439.36i −0.00898001 + 0.0155538i
\(166\) −62448.3 108164.i −0.175894 0.304657i
\(167\) −120396. −0.334057 −0.167028 0.985952i \(-0.553417\pi\)
−0.167028 + 0.985952i \(0.553417\pi\)
\(168\) 16852.1 49593.8i 0.0460661 0.135567i
\(169\) 28532.2 0.0768456
\(170\) −210041. 363801.i −0.557418 0.965477i
\(171\) −222543. + 385457.i −0.582002 + 1.00806i
\(172\) −44747.0 + 77504.1i −0.115330 + 0.199758i
\(173\) −356457. 617402.i −0.905507 1.56838i −0.820235 0.572027i \(-0.806157\pi\)
−0.0852723 0.996358i \(-0.527176\pi\)
\(174\) −7748.39 −0.0194016
\(175\) −57370.5 + 168835.i −0.141610 + 0.416741i
\(176\) −56861.7 −0.138369
\(177\) 37629.2 + 65175.7i 0.0902801 + 0.156370i
\(178\) −178515. + 309197.i −0.422304 + 0.731451i
\(179\) 374869. 649292.i 0.874474 1.51463i 0.0171519 0.999853i \(-0.494540\pi\)
0.857322 0.514780i \(-0.172127\pi\)
\(180\) −30774.2 53302.5i −0.0707955 0.122621i
\(181\) 623718. 1.41511 0.707557 0.706656i \(-0.249797\pi\)
0.707557 + 0.706656i \(0.249797\pi\)
\(182\) 274624. + 313346.i 0.614554 + 0.701206i
\(183\) 8382.69 0.0185036
\(184\) −40127.1 69502.2i −0.0873762 0.151340i
\(185\) −216466. + 374930.i −0.465008 + 0.805417i
\(186\) 32410.5 56136.7i 0.0686916 0.118977i
\(187\) 71228.6 + 123372.i 0.148953 + 0.257995i
\(188\) 132086. 0.272560
\(189\) 127564. 25332.7i 0.259761 0.0515853i
\(190\) 396483. 0.796784
\(191\) −208863. 361761.i −0.414265 0.717528i 0.581086 0.813842i \(-0.302628\pi\)
−0.995351 + 0.0963141i \(0.969295\pi\)
\(192\) −37921.1 + 65681.3i −0.0742383 + 0.128585i
\(193\) −385350. + 667446.i −0.744667 + 1.28980i 0.205683 + 0.978619i \(0.434058\pi\)
−0.950350 + 0.311183i \(0.899275\pi\)
\(194\) 268772. + 465527.i 0.512719 + 0.888056i
\(195\) −55085.6 −0.103741
\(196\) 13589.8 102729.i 0.0252681 0.191009i
\(197\) −479193. −0.879721 −0.439861 0.898066i \(-0.644972\pi\)
−0.439861 + 0.898066i \(0.644972\pi\)
\(198\) −43728.8 75740.4i −0.0792692 0.137298i
\(199\) 214343. 371253.i 0.383687 0.664565i −0.607899 0.794014i \(-0.707988\pi\)
0.991586 + 0.129449i \(0.0413210\pi\)
\(200\) 133409. 231072.i 0.235836 0.408481i
\(201\) −16210.1 28076.7i −0.0283006 0.0490180i
\(202\) −185327. −0.319565
\(203\) −93071.7 + 18482.9i −0.158518 + 0.0314797i
\(204\) 25373.5 0.0426879
\(205\) 73822.4 + 127864.i 0.122688 + 0.212502i
\(206\) 163970. 284005.i 0.269213 0.466291i
\(207\) 49368.5 85508.8i 0.0800800 0.138703i
\(208\) −249351. 431889.i −0.399625 0.692171i
\(209\) −134455. −0.212917
\(210\) −37836.1 43171.0i −0.0592050 0.0675529i
\(211\) −588544. −0.910066 −0.455033 0.890475i \(-0.650373\pi\)
−0.455033 + 0.890475i \(0.650373\pi\)
\(212\) 38779.5 + 67168.1i 0.0592601 + 0.102642i
\(213\) −12684.8 + 21970.7i −0.0191573 + 0.0331815i
\(214\) 167847. 290720.i 0.250541 0.433950i
\(215\) 303569. + 525797.i 0.447879 + 0.775750i
\(216\) −194605. −0.283804
\(217\) 255400. 751612.i 0.368189 1.08354i
\(218\) 192830. 0.274811
\(219\) −20399.7 35333.4i −0.0287418 0.0497823i
\(220\) 9296.45 16101.9i 0.0129497 0.0224296i
\(221\) −624706. + 1.08202e6i −0.860389 + 1.49024i
\(222\) 54785.5 + 94891.3i 0.0746077 + 0.129224i
\(223\) −363249. −0.489151 −0.244575 0.969630i \(-0.578649\pi\)
−0.244575 + 0.969630i \(0.578649\pi\)
\(224\) −91714.4 + 269905.i −0.122129 + 0.359410i
\(225\) 328268. 0.432287
\(226\) 314629. + 544954.i 0.409758 + 0.709722i
\(227\) 421521. 730095.i 0.542943 0.940405i −0.455790 0.890087i \(-0.650643\pi\)
0.998733 0.0503177i \(-0.0160234\pi\)
\(228\) −11974.1 + 20739.7i −0.0152547 + 0.0264219i
\(229\) 284333. + 492479.i 0.358293 + 0.620582i 0.987676 0.156513i \(-0.0500254\pi\)
−0.629382 + 0.777096i \(0.716692\pi\)
\(230\) −87954.8 −0.109633
\(231\) 12830.9 + 14640.1i 0.0158208 + 0.0180515i
\(232\) 141985. 0.173190
\(233\) 528255. + 914965.i 0.637461 + 1.10412i 0.985988 + 0.166817i \(0.0533488\pi\)
−0.348526 + 0.937299i \(0.613318\pi\)
\(234\) 383520. 664277.i 0.457877 0.793066i
\(235\) 448043. 776034.i 0.529237 0.916666i
\(236\) −111392. 192937.i −0.130189 0.225495i
\(237\) 75166.5 0.0869267
\(238\) −1.27707e6 + 253611.i −1.46142 + 0.290219i
\(239\) 853715. 0.966759 0.483379 0.875411i \(-0.339409\pi\)
0.483379 + 0.875411i \(0.339409\pi\)
\(240\) 34354.1 + 59503.1i 0.0384991 + 0.0666825i
\(241\) 194444. 336787.i 0.215651 0.373519i −0.737823 0.674995i \(-0.764146\pi\)
0.953474 + 0.301476i \(0.0974792\pi\)
\(242\) −396082. + 686034.i −0.434757 + 0.753022i
\(243\) −180106. 311953.i −0.195665 0.338902i
\(244\) −24815.0 −0.0266833
\(245\) −557458. 428306.i −0.593330 0.455867i
\(246\) 37367.5 0.0393692
\(247\) −589612. 1.02124e6i −0.614928 1.06509i
\(248\) −593906. + 1.02868e6i −0.613181 + 1.06206i
\(249\) 25589.4 44322.2i 0.0261555 0.0453026i
\(250\) −478398. 828609.i −0.484104 0.838493i
\(251\) −839328. −0.840906 −0.420453 0.907314i \(-0.638129\pi\)
−0.420453 + 0.907314i \(0.638129\pi\)
\(252\) −187111. + 37158.0i −0.185609 + 0.0368596i
\(253\) 29827.1 0.0292961
\(254\) 327136. + 566616.i 0.318159 + 0.551067i
\(255\) 86068.3 149075.i 0.0828882 0.143567i
\(256\) 291075. 504157.i 0.277591 0.480802i
\(257\) −145993. 252867.i −0.137879 0.238814i 0.788814 0.614632i \(-0.210695\pi\)
−0.926694 + 0.375817i \(0.877362\pi\)
\(258\) 153661. 0.143719
\(259\) 884423. + 1.00913e6i 0.819239 + 0.934752i
\(260\) 163068. 0.149601
\(261\) 87342.4 + 151282.i 0.0793641 + 0.137463i
\(262\) −375876. + 651037.i −0.338292 + 0.585939i
\(263\) 144248. 249844.i 0.128594 0.222731i −0.794538 0.607214i \(-0.792287\pi\)
0.923132 + 0.384483i \(0.125620\pi\)
\(264\) −14564.5 25226.4i −0.0128613 0.0222764i
\(265\) 526169. 0.460268
\(266\) 395371. 1.16353e6i 0.342611 1.00826i
\(267\) −146300. −0.125593
\(268\) 47986.1 + 83114.4i 0.0408111 + 0.0706869i
\(269\) 129685. 224621.i 0.109272 0.189265i −0.806204 0.591638i \(-0.798481\pi\)
0.915476 + 0.402374i \(0.131815\pi\)
\(270\) −106639. + 184704.i −0.0890237 + 0.154194i
\(271\) 1.09776e6 + 1.90137e6i 0.907994 + 1.57269i 0.816847 + 0.576854i \(0.195720\pi\)
0.0911464 + 0.995838i \(0.470947\pi\)
\(272\) 1.55839e6 1.27719
\(273\) −54931.1 + 161656.i −0.0446079 + 0.131276i
\(274\) 463331. 0.372834
\(275\) 49582.5 + 85879.5i 0.0395364 + 0.0684790i
\(276\) 2656.30 4600.84i 0.00209896 0.00363550i
\(277\) −63495.3 + 109977.i −0.0497213 + 0.0861198i −0.889815 0.456322i \(-0.849167\pi\)
0.840094 + 0.542441i \(0.182500\pi\)
\(278\) −850491. 1.47309e6i −0.660021 1.14319i
\(279\) −1.46137e6 −1.12396
\(280\) 693327. + 791086.i 0.528497 + 0.603016i
\(281\) −2.22759e6 −1.68294 −0.841472 0.540301i \(-0.818310\pi\)
−0.841472 + 0.540301i \(0.818310\pi\)
\(282\) −113396. 196407.i −0.0849129 0.147073i
\(283\) −594473. + 1.02966e6i −0.441231 + 0.764235i −0.997781 0.0665792i \(-0.978792\pi\)
0.556550 + 0.830814i \(0.312125\pi\)
\(284\) 37550.4 65039.1i 0.0276260 0.0478497i
\(285\) 81233.4 + 140700.i 0.0592410 + 0.102608i
\(286\) 231712. 0.167507
\(287\) 448850. 89136.0i 0.321659 0.0638776i
\(288\) 524780. 0.372817
\(289\) −1.24221e6 2.15157e6i −0.874884 1.51534i
\(290\) 77804.5 134761.i 0.0543263 0.0940958i
\(291\) −110135. + 190759.i −0.0762415 + 0.132054i
\(292\) 60388.6 + 104596.i 0.0414475 + 0.0717891i
\(293\) 1.83223e6 1.24684 0.623421 0.781886i \(-0.285742\pi\)
0.623421 + 0.781886i \(0.285742\pi\)
\(294\) −164421. + 67985.1i −0.110940 + 0.0458718i
\(295\) −1.51140e6 −1.01117
\(296\) −1.00392e6 1.73883e6i −0.665991 1.15353i
\(297\) 36163.1 62636.4i 0.0237889 0.0412037i
\(298\) 351400. 608643.i 0.229225 0.397029i
\(299\) 130798. + 226549.i 0.0846104 + 0.146550i
\(300\) 17662.6 0.0113306
\(301\) 1.84574e6 366541.i 1.17423 0.233188i
\(302\) −565047. −0.356506
\(303\) −37970.6 65767.1i −0.0237597 0.0411530i
\(304\) −735423. + 1.27379e6i −0.456408 + 0.790522i
\(305\) −84173.8 + 145793.i −0.0518117 + 0.0897404i
\(306\) 1.19846e6 + 2.07579e6i 0.731678 + 1.26730i
\(307\) −717638. −0.434569 −0.217285 0.976108i \(-0.569720\pi\)
−0.217285 + 0.976108i \(0.569720\pi\)
\(308\) −37982.9 43338.4i −0.0228145 0.0260313i
\(309\) 134380. 0.0800642
\(310\) 650893. + 1.12738e6i 0.384685 + 0.666294i
\(311\) 428446. 742090.i 0.251186 0.435067i −0.712667 0.701503i \(-0.752513\pi\)
0.963853 + 0.266436i \(0.0858462\pi\)
\(312\) 127737. 221247.i 0.0742898 0.128674i
\(313\) −808495. 1.40035e6i −0.466462 0.807936i 0.532804 0.846239i \(-0.321138\pi\)
−0.999266 + 0.0383025i \(0.987805\pi\)
\(314\) 193900. 0.110982
\(315\) −416380. + 1.22536e6i −0.236436 + 0.695805i
\(316\) −222512. −0.125354
\(317\) 1.13280e6 + 1.96206e6i 0.633145 + 1.09664i 0.986905 + 0.161303i \(0.0515698\pi\)
−0.353760 + 0.935336i \(0.615097\pi\)
\(318\) 66584.3 115327.i 0.0369236 0.0639535i
\(319\) −26384.9 + 45700.0i −0.0145171 + 0.0251443i
\(320\) −761561. 1.31906e6i −0.415747 0.720096i
\(321\) 137557. 0.0745111
\(322\) −87708.2 + 258115.i −0.0471412 + 0.138731i
\(323\) 3.68495e6 1.96528
\(324\) 172343. + 298507.i 0.0912078 + 0.157977i
\(325\) −434860. + 753200.i −0.228371 + 0.395551i
\(326\) −541072. + 937163.i −0.281975 + 0.488395i
\(327\) 39508.0 + 68429.8i 0.0204322 + 0.0353896i
\(328\) −684740. −0.351432
\(329\) −1.83059e6 2.08870e6i −0.932396 1.06386i
\(330\) −31924.0 −0.0161373
\(331\) −354825. 614575.i −0.178010 0.308322i 0.763189 0.646175i \(-0.223633\pi\)
−0.941199 + 0.337853i \(0.890299\pi\)
\(332\) −75751.5 + 131205.i −0.0377178 + 0.0653291i
\(333\) 1.23512e6 2.13929e6i 0.610379 1.05721i
\(334\) −305972. 529958.i −0.150077 0.259941i
\(335\) 651086. 0.316976
\(336\) 208878. 41480.5i 0.100935 0.0200445i
\(337\) 603572. 0.289504 0.144752 0.989468i \(-0.453762\pi\)
0.144752 + 0.989468i \(0.453762\pi\)
\(338\) 72511.3 + 125593.i 0.0345234 + 0.0597963i
\(339\) −128925. + 223305.i −0.0609312 + 0.105536i
\(340\) −254785. + 441300.i −0.119530 + 0.207032i
\(341\) −220730. 382315.i −0.102796 0.178047i
\(342\) −2.26227e6 −1.04587
\(343\) −1.81281e6 + 1.20883e6i −0.831990 + 0.554791i
\(344\) −2.81576e6 −1.28292
\(345\) −18020.6 31212.6i −0.00815121 0.0141183i
\(346\) 1.81179e6 3.13811e6i 0.813611 1.40922i
\(347\) −878655. + 1.52188e6i −0.391737 + 0.678509i −0.992679 0.120784i \(-0.961459\pi\)
0.600942 + 0.799293i \(0.294792\pi\)
\(348\) 4699.50 + 8139.77i 0.00208019 + 0.00360300i
\(349\) 391875. 0.172220 0.0861102 0.996286i \(-0.472556\pi\)
0.0861102 + 0.996286i \(0.472556\pi\)
\(350\) −888977. + 176540.i −0.387901 + 0.0770323i
\(351\) 634333. 0.274821
\(352\) 79264.3 + 137290.i 0.0340974 + 0.0590584i
\(353\) −246204. + 426437.i −0.105162 + 0.182145i −0.913804 0.406155i \(-0.866869\pi\)
0.808643 + 0.588300i \(0.200203\pi\)
\(354\) −191260. + 331273.i −0.0811179 + 0.140500i
\(355\) −254746. 441233.i −0.107284 0.185822i
\(356\) 433087. 0.181113
\(357\) −351653. 401236.i −0.146030 0.166621i
\(358\) 3.81074e6 1.57145
\(359\) 1.88516e6 + 3.26519e6i 0.771991 + 1.33713i 0.936470 + 0.350747i \(0.114072\pi\)
−0.164480 + 0.986380i \(0.552594\pi\)
\(360\) 968251. 1.67706e6i 0.393760 0.682012i
\(361\) −500924. + 867625.i −0.202304 + 0.350400i
\(362\) 1.58510e6 + 2.74548e6i 0.635750 + 1.10115i
\(363\) −324605. −0.129297
\(364\) 162611. 478544.i 0.0643273 0.189308i
\(365\) 819367. 0.321919
\(366\) 21303.6 + 36899.0i 0.00831286 + 0.0143983i
\(367\) 1.09884e6 1.90325e6i 0.425863 0.737617i −0.570637 0.821202i \(-0.693304\pi\)
0.996501 + 0.0835854i \(0.0266371\pi\)
\(368\) 163145. 282575.i 0.0627991 0.108771i
\(369\) −421219. 729573.i −0.161043 0.278935i
\(370\) −2.20049e6 −0.835632
\(371\) 524694. 1.54411e6i 0.197911 0.582431i
\(372\) −78629.7 −0.0294598
\(373\) 828178. + 1.43445e6i 0.308213 + 0.533841i 0.977972 0.208738i \(-0.0669356\pi\)
−0.669758 + 0.742579i \(0.733602\pi\)
\(374\) −362038. + 627068.i −0.133837 + 0.231812i
\(375\) 196033. 339539.i 0.0719864 0.124684i
\(376\) 2.07791e6 + 3.59905e6i 0.757981 + 1.31286i
\(377\) −462814. −0.167708
\(378\) 435698. + 497132.i 0.156840 + 0.178954i
\(379\) −2.82050e6 −1.00862 −0.504310 0.863523i \(-0.668253\pi\)
−0.504310 + 0.863523i \(0.668253\pi\)
\(380\) −240472. 416510.i −0.0854291 0.147968i
\(381\) −134050. + 232182.i −0.0473103 + 0.0819439i
\(382\) 1.06160e6 1.83875e6i 0.372223 0.644709i
\(383\) −1.62422e6 2.81324e6i −0.565781 0.979962i −0.996977 0.0777034i \(-0.975241\pi\)
0.431195 0.902259i \(-0.358092\pi\)
\(384\) −238939. −0.0826911
\(385\) −383463. + 76151.0i −0.131847 + 0.0261833i
\(386\) −3.91729e6 −1.33819
\(387\) −1.73212e6 3.00012e6i −0.587895 1.01826i
\(388\) 326027. 564696.i 0.109945 0.190430i
\(389\) −2.32674e6 + 4.03003e6i −0.779604 + 1.35031i 0.152566 + 0.988293i \(0.451246\pi\)
−0.932170 + 0.362021i \(0.882087\pi\)
\(390\) −139994. 242476.i −0.0466065 0.0807248i
\(391\) −817461. −0.270411
\(392\) 3.01293e6 1.24579e6i 0.990316 0.409478i
\(393\) −308045. −0.100608
\(394\) −1.21781e6 2.10931e6i −0.395221 0.684543i
\(395\) −754775. + 1.30731e6i −0.243402 + 0.421585i
\(396\) −53044.1 + 91875.2i −0.0169981 + 0.0294415i
\(397\) 581804. + 1.00771e6i 0.185268 + 0.320894i 0.943667 0.330897i \(-0.107351\pi\)
−0.758399 + 0.651791i \(0.774018\pi\)
\(398\) 2.17891e6 0.689495
\(399\) 493909. 98084.3i 0.155316 0.0308438i
\(400\) 1.08480e6 0.339001
\(401\) −161190. 279189.i −0.0500584 0.0867037i 0.839910 0.542725i \(-0.182607\pi\)
−0.889969 + 0.456021i \(0.849274\pi\)
\(402\) 82392.0 142707.i 0.0254284 0.0440434i
\(403\) 1.93589e6 3.35307e6i 0.593771 1.02844i
\(404\) 112403. + 194688.i 0.0342630 + 0.0593452i
\(405\) 2.33839e6 0.708403
\(406\) −317889. 362711.i −0.0957106 0.109206i
\(407\) 746226. 0.223298
\(408\) 399164. + 691372.i 0.118714 + 0.205618i
\(409\) −693451. + 1.20109e6i −0.204978 + 0.355033i −0.950126 0.311867i \(-0.899046\pi\)
0.745148 + 0.666900i \(0.232379\pi\)
\(410\) −375222. + 649903.i −0.110237 + 0.190936i
\(411\) 94929.6 + 164423.i 0.0277202 + 0.0480129i
\(412\) −397800. −0.115457
\(413\) −1.50716e6 + 4.43540e6i −0.434794 + 1.27955i
\(414\) 501857. 0.143906
\(415\) 513907. + 890112.i 0.146475 + 0.253702i
\(416\) −695182. + 1.20409e6i −0.196954 + 0.341135i
\(417\) 348506. 603630.i 0.0981454 0.169993i
\(418\) −341700. 591842.i −0.0956543 0.165678i
\(419\) 4.90871e6 1.36594 0.682971 0.730446i \(-0.260688\pi\)
0.682971 + 0.730446i \(0.260688\pi\)
\(420\) −22403.5 + 65931.1i −0.00619717 + 0.0182376i
\(421\) 2.43924e6 0.670733 0.335367 0.942088i \(-0.391140\pi\)
0.335367 + 0.942088i \(0.391140\pi\)
\(422\) −1.49572e6 2.59065e6i −0.408854 0.708155i
\(423\) −2.55647e6 + 4.42793e6i −0.694687 + 1.20323i
\(424\) −1.22012e6 + 2.11331e6i −0.329601 + 0.570886i
\(425\) −1.35889e6 2.35367e6i −0.364933 0.632082i
\(426\) −128948. −0.0344263
\(427\) 343912. + 392404.i 0.0912805 + 0.104151i
\(428\) −407206. −0.107450
\(429\) 47474.3 + 82227.9i 0.0124542 + 0.0215713i
\(430\) −1.54297e6 + 2.67250e6i −0.402426 + 0.697022i
\(431\) 2.61376e6 4.52717e6i 0.677755 1.17391i −0.297900 0.954597i \(-0.596286\pi\)
0.975655 0.219309i \(-0.0703803\pi\)
\(432\) −395602. 685202.i −0.101988 0.176648i
\(433\) −2.63022e6 −0.674174 −0.337087 0.941473i \(-0.609442\pi\)
−0.337087 + 0.941473i \(0.609442\pi\)
\(434\) 3.95751e6 785914.i 1.00855 0.200286i
\(435\) 63763.9 0.0161567
\(436\) −116954. 202570.i −0.0294645 0.0510340i
\(437\) 385770. 668173.i 0.0966328 0.167373i
\(438\) 103687. 179591.i 0.0258249 0.0447301i
\(439\) −1.27706e6 2.21193e6i −0.316264 0.547785i 0.663442 0.748228i \(-0.269095\pi\)
−0.979705 + 0.200443i \(0.935762\pi\)
\(440\) 584990. 0.144051
\(441\) 3.18077e6 + 2.44385e6i 0.778817 + 0.598381i
\(442\) −6.35046e6 −1.54614
\(443\) −1.91950e6 3.32467e6i −0.464707 0.804896i 0.534481 0.845180i \(-0.320507\pi\)
−0.999188 + 0.0402844i \(0.987174\pi\)
\(444\) 66456.3 115106.i 0.0159985 0.0277102i
\(445\) 1.46906e6 2.54448e6i 0.351672 0.609114i
\(446\) −923155. 1.59895e6i −0.219754 0.380626i
\(447\) 287986. 0.0681715
\(448\) −4.63039e6 + 919538.i −1.08999 + 0.216459i
\(449\) 1.49369e6 0.349658 0.174829 0.984599i \(-0.444063\pi\)
0.174829 + 0.984599i \(0.444063\pi\)
\(450\) 834253. + 1.44497e6i 0.194208 + 0.336378i
\(451\) 127244. 220394.i 0.0294576 0.0510221i
\(452\) 381653. 661043.i 0.0878664 0.152189i
\(453\) −115770. 200519.i −0.0265063 0.0459102i
\(454\) 4.28498e6 0.975684
\(455\) −2.25997e6 2.57862e6i −0.511768 0.583928i
\(456\) −753481. −0.169692
\(457\) 1.08111e6 + 1.87253e6i 0.242146 + 0.419410i 0.961325 0.275415i \(-0.0888153\pi\)
−0.719179 + 0.694825i \(0.755482\pi\)
\(458\) −1.44520e6 + 2.50316e6i −0.321932 + 0.557602i
\(459\) −991112. + 1.71666e6i −0.219579 + 0.380322i
\(460\) 53345.8 + 92397.6i 0.0117545 + 0.0203594i
\(461\) −6.11949e6 −1.34111 −0.670553 0.741862i \(-0.733943\pi\)
−0.670553 + 0.741862i \(0.733943\pi\)
\(462\) −31834.4 + 93685.1i −0.00693893 + 0.0204205i
\(463\) 3.93615e6 0.853335 0.426667 0.904409i \(-0.359687\pi\)
0.426667 + 0.904409i \(0.359687\pi\)
\(464\) 288634. + 499929.i 0.0622376 + 0.107799i
\(465\) −266716. + 461966.i −0.0572028 + 0.0990782i
\(466\) −2.68500e6 + 4.65055e6i −0.572768 + 0.992063i
\(467\) 2.73522e6 + 4.73754e6i 0.580363 + 1.00522i 0.995436 + 0.0954306i \(0.0304228\pi\)
−0.415073 + 0.909788i \(0.636244\pi\)
\(468\) −930441. −0.196369
\(469\) 649261. 1.91070e6i 0.136297 0.401107i
\(470\) 4.55459e6 0.951054
\(471\) 39727.1 + 68809.4i 0.00825154 + 0.0142921i
\(472\) 3.50475e6 6.07040e6i 0.724105 1.25419i
\(473\) 523248. 906293.i 0.107536 0.186258i
\(474\) 191027. + 330868.i 0.0390524 + 0.0676408i
\(475\) 2.56511e6 0.521641
\(476\) 1.04098e6 + 1.18776e6i 0.210585 + 0.240277i
\(477\) −3.00224e6 −0.604157
\(478\) 2.16962e6 + 3.75788e6i 0.434323 + 0.752270i
\(479\) 3.33145e6 5.77023e6i 0.663428 1.14909i −0.316280 0.948666i \(-0.602434\pi\)
0.979709 0.200426i \(-0.0642326\pi\)
\(480\) 95778.2 165893.i 0.0189742 0.0328643i
\(481\) 3.27236e6 + 5.66790e6i 0.644910 + 1.11702i
\(482\) 1.97663e6 0.387531
\(483\) −109568. + 21758.8i −0.0213705 + 0.00424392i
\(484\) 960916. 0.186454
\(485\) −2.21181e6 3.83096e6i −0.426966 0.739526i
\(486\) 915437. 1.58558e6i 0.175808 0.304508i
\(487\) −4.76846e6 + 8.25922e6i −0.911079 + 1.57804i −0.0985363 + 0.995133i \(0.531416\pi\)
−0.812543 + 0.582902i \(0.801917\pi\)
\(488\) −390378. 676154.i −0.0742054 0.128527i
\(489\) −443430. −0.0838595
\(490\) 468604. 3.54231e6i 0.0881690 0.666493i
\(491\) −8.19294e6 −1.53369 −0.766843 0.641835i \(-0.778173\pi\)
−0.766843 + 0.641835i \(0.778173\pi\)
\(492\) −22663.9 39255.0i −0.00422106 0.00731110i
\(493\) 723123. 1.25249e6i 0.133997 0.232090i
\(494\) 2.99686e6 5.19071e6i 0.552521 0.956995i
\(495\) 359858. + 623292.i 0.0660112 + 0.114335i
\(496\) −4.82928e6 −0.881411
\(497\) −1.54889e6 + 307590.i −0.281274 + 0.0558575i
\(498\) 260130. 0.0470021
\(499\) 2.15718e6 + 3.73635e6i 0.387825 + 0.671733i 0.992157 0.125000i \(-0.0398931\pi\)
−0.604332 + 0.796733i \(0.706560\pi\)
\(500\) −580309. + 1.00512e6i −0.103809 + 0.179802i
\(501\) 125378. 217161.i 0.0223165 0.0386534i
\(502\) −2.13305e6 3.69455e6i −0.377783 0.654339i
\(503\) −1.04015e7 −1.83306 −0.916529 0.399968i \(-0.869021\pi\)
−0.916529 + 0.399968i \(0.869021\pi\)
\(504\) −3.95602e6 4.51382e6i −0.693716 0.791530i
\(505\) 1.52511e6 0.266117
\(506\) 75802.0 + 131293.i 0.0131615 + 0.0227963i
\(507\) −29712.9 + 51464.3i −0.00513364 + 0.00889173i
\(508\) 396825. 687320.i 0.0682243 0.118168i
\(509\) 1.54698e6 + 2.67945e6i 0.264661 + 0.458406i 0.967475 0.252968i \(-0.0814066\pi\)
−0.702814 + 0.711374i \(0.748073\pi\)
\(510\) 874930. 0.148952
\(511\) 817069. 2.40454e6i 0.138422 0.407361i
\(512\) 6.63004e6 1.11774
\(513\) −935435. 1.62022e6i −0.156935 0.271820i
\(514\) 742048. 1.28527e6i 0.123887 0.214578i
\(515\) −1.34936e6 + 2.33716e6i −0.224187 + 0.388303i
\(516\) −93197.4 161423.i −0.0154092 0.0266895i
\(517\) −1.54455e6 −0.254141
\(518\) −2.19432e6 + 6.45763e6i −0.359315 + 1.05742i
\(519\) 1.48483e6 0.241968
\(520\) 2.56531e6 + 4.44324e6i 0.416036 + 0.720596i
\(521\) 3.80087e6 6.58331e6i 0.613464 1.06255i −0.377188 0.926137i \(-0.623109\pi\)
0.990652 0.136414i \(-0.0435578\pi\)
\(522\) −443941. + 768928.i −0.0713097 + 0.123512i
\(523\) −2.37835e6 4.11942e6i −0.380208 0.658539i 0.610884 0.791720i \(-0.290814\pi\)
−0.991092 + 0.133181i \(0.957481\pi\)
\(524\) 911895. 0.145083
\(525\) −244787. 279302.i −0.0387605 0.0442258i
\(526\) 1.46635e6 0.231086
\(527\) 6.04947e6 + 1.04780e7i 0.948835 + 1.64343i
\(528\) 59214.7 102563.i 0.00924368 0.0160105i
\(529\) 3.13259e6 5.42581e6i 0.486704 0.842996i
\(530\) 1.33720e6 + 2.31609e6i 0.206779 + 0.358151i
\(531\) 8.62380e6 1.32728
\(532\) −1.46210e6 + 290355.i −0.223974 + 0.0444786i
\(533\) 2.23198e6 0.340308
\(534\) −371805. 643984.i −0.0564237 0.0977287i
\(535\) −1.38127e6 + 2.39242e6i −0.208638 + 0.361371i
\(536\) −1.50979e6 + 2.61503e6i −0.226989 + 0.393156i
\(537\) 780763. + 1.35232e6i 0.116838 + 0.202369i
\(538\) 1.31832e6 0.196365
\(539\) −158912. + 1.20126e6i −0.0235605 + 0.178100i
\(540\) 258711. 0.0381796
\(541\) −5.50261e6 9.53079e6i −0.808305 1.40003i −0.914037 0.405631i \(-0.867052\pi\)
0.105732 0.994395i \(-0.466281\pi\)
\(542\) −5.57964e6 + 9.66421e6i −0.815845 + 1.41309i
\(543\) −649528. + 1.12502e6i −0.0945362 + 0.163742i
\(544\) −2.17237e6 3.76266e6i −0.314729 0.545127i
\(545\) −1.58686e6 −0.228848
\(546\) −851179. + 169034.i −0.122191 + 0.0242656i
\(547\) −4.46311e6 −0.637778 −0.318889 0.947792i \(-0.603310\pi\)
−0.318889 + 0.947792i \(0.603310\pi\)
\(548\) −281017. 486735.i −0.0399743 0.0692375i
\(549\) 480283. 831875.i 0.0680090 0.117795i
\(550\) −252016. + 436505.i −0.0355240 + 0.0615294i
\(551\) 682501. + 1.18213e6i 0.0957688 + 0.165876i
\(552\) 167150. 0.0233485
\(553\) 3.08381e6 + 3.51863e6i 0.428820 + 0.489284i
\(554\) −645463. −0.0893505
\(555\) −450847. 780890.i −0.0621294 0.107611i
\(556\) −1.03167e6 + 1.78690e6i −0.141532 + 0.245140i
\(557\) 3.22611e6 5.58779e6i 0.440597 0.763136i −0.557137 0.830421i \(-0.688100\pi\)
0.997734 + 0.0672845i \(0.0214335\pi\)
\(558\) −3.71390e6 6.43266e6i −0.504945 0.874591i
\(559\) 9.17823e6 1.24231
\(560\) −1.37598e6 + 4.04936e6i −0.185414 + 0.545653i
\(561\) −296704. −0.0398031
\(562\) −5.66116e6 9.80541e6i −0.756074 1.30956i
\(563\) −873740. + 1.51336e6i −0.116175 + 0.201220i −0.918249 0.396004i \(-0.870397\pi\)
0.802074 + 0.597225i \(0.203730\pi\)
\(564\) −137552. + 238247.i −0.0182083 + 0.0315377i
\(565\) −2.58918e6 4.48459e6i −0.341225 0.591019i
\(566\) −6.04313e6 −0.792905
\(567\) 2.33184e6 6.86233e6i 0.304607 0.896425i
\(568\) 2.36290e6 0.307308
\(569\) −256394. 444088.i −0.0331992 0.0575027i 0.848948 0.528476i \(-0.177236\pi\)
−0.882148 + 0.470973i \(0.843903\pi\)
\(570\) −412890. + 715146.i −0.0532288 + 0.0921951i
\(571\) −2.61182e6 + 4.52380e6i −0.335238 + 0.580649i −0.983530 0.180742i \(-0.942150\pi\)
0.648293 + 0.761391i \(0.275483\pi\)
\(572\) −140536. 243416.i −0.0179597 0.0311071i
\(573\) 870024. 0.110699
\(574\) 1.53306e6 + 1.74922e6i 0.194213 + 0.221597i
\(575\) −569038. −0.0717748
\(576\) 4.34535e6 + 7.52637e6i 0.545718 + 0.945212i
\(577\) −3.31987e6 + 5.75018e6i −0.415127 + 0.719021i −0.995442 0.0953713i \(-0.969596\pi\)
0.580315 + 0.814392i \(0.302930\pi\)
\(578\) 6.31386e6 1.09359e7i 0.786096 1.36156i
\(579\) −802593. 1.39013e6i −0.0994945 0.172329i
\(580\) −188758. −0.0232989
\(581\) 3.12462e6 620511.i 0.384022 0.0762621i
\(582\) −1.11958e6 −0.137008
\(583\) −453467. 785429.i −0.0552554 0.0957051i
\(584\) −1.90001e6 + 3.29092e6i −0.230528 + 0.399286i
\(585\) −3.15611e6 + 5.46654e6i −0.381296 + 0.660424i
\(586\) 4.65640e6 + 8.06512e6i 0.560152 + 0.970212i
\(587\) 774096. 0.0927256 0.0463628 0.998925i \(-0.485237\pi\)
0.0463628 + 0.998925i \(0.485237\pi\)
\(588\) 171143. + 131492.i 0.0204134 + 0.0156840i
\(589\) −1.14193e7 −1.35628
\(590\) −3.84104e6 6.65287e6i −0.454275 0.786827i
\(591\) 499023. 864333.i 0.0587695 0.101792i
\(592\) 4.08162e6 7.06957e6i 0.478661 0.829065i
\(593\) 7.18778e6 + 1.24496e7i 0.839379 + 1.45385i 0.890415 + 0.455150i \(0.150415\pi\)
−0.0510354 + 0.998697i \(0.516252\pi\)
\(594\) 367617. 0.0427494
\(595\) 1.05094e7 2.08705e6i 1.21699 0.241679i
\(596\) −852515. −0.0983075
\(597\) 446426. + 773232.i 0.0512641 + 0.0887920i
\(598\) −664816. + 1.15150e6i −0.0760236 + 0.131677i
\(599\) −6.04174e6 + 1.04646e7i −0.688010 + 1.19167i 0.284471 + 0.958685i \(0.408182\pi\)
−0.972481 + 0.232984i \(0.925151\pi\)
\(600\) 277860. + 481267.i 0.0315099 + 0.0545768i
\(601\) 5.75607e6 0.650040 0.325020 0.945707i \(-0.394629\pi\)
0.325020 + 0.945707i \(0.394629\pi\)
\(602\) 6.30416e6 + 7.19305e6i 0.708984 + 0.808950i
\(603\) −3.71500e6 −0.416069
\(604\) 342708. + 593588.i 0.0382237 + 0.0662053i
\(605\) 3.25948e6 5.64559e6i 0.362043 0.627077i
\(606\) 192996. 334278.i 0.0213484 0.0369766i
\(607\) −2.10060e6 3.63835e6i −0.231405 0.400805i 0.726817 0.686831i \(-0.240999\pi\)
−0.958222 + 0.286026i \(0.907666\pi\)
\(608\) 4.10067e6 0.449879
\(609\) 63585.1 187124.i 0.00694723 0.0204449i
\(610\) −855671. −0.0931070
\(611\) −6.77317e6 1.17315e7i −0.733988 1.27130i
\(612\) 1.45376e6 2.51799e6i 0.156897 0.271754i
\(613\) 1.32271e6 2.29101e6i 0.142172 0.246249i −0.786142 0.618046i \(-0.787925\pi\)
0.928314 + 0.371796i \(0.121258\pi\)
\(614\) −1.82379e6 3.15890e6i −0.195233 0.338154i
\(615\) −307509. −0.0327846
\(616\) 583349. 1.71673e6i 0.0619408 0.182285i
\(617\) 6.43533e6 0.680546 0.340273 0.940327i \(-0.389480\pi\)
0.340273 + 0.940327i \(0.389480\pi\)
\(618\) 341511. + 591514.i 0.0359694 + 0.0623009i
\(619\) −7.05885e6 + 1.22263e7i −0.740469 + 1.28253i 0.211812 + 0.977310i \(0.432063\pi\)
−0.952282 + 0.305220i \(0.901270\pi\)
\(620\) 789551. 1.36754e6i 0.0824899 0.142877i
\(621\) 207515. + 359426.i 0.0215933 + 0.0374008i
\(622\) 4.35538e6 0.451388
\(623\) −6.00218e6 6.84848e6i −0.619567 0.706927i
\(624\) 1.03868e6 0.106787
\(625\) 1.78774e6 + 3.09646e6i 0.183065 + 0.317077i
\(626\) 4.10939e6 7.11767e6i 0.419123 0.725942i
\(627\) 140018. 242519.i 0.0142238 0.0246364i
\(628\) −117603. 203694.i −0.0118992 0.0206101i
\(629\) −2.04516e7 −2.06111
\(630\) −6.45197e6 + 1.28128e6i −0.647651 + 0.128616i
\(631\) −4.70856e6 −0.470777 −0.235388 0.971901i \(-0.575636\pi\)
−0.235388 + 0.971901i \(0.575636\pi\)
\(632\) −3.50046e6 6.06298e6i −0.348604 0.603800i
\(633\) 612899. 1.06157e6i 0.0607966 0.105303i
\(634\) −5.75773e6 + 9.97268e6i −0.568890 + 0.985346i
\(635\) −2.69210e6 4.66286e6i −0.264946 0.458900i
\(636\) −161537. −0.0158354
\(637\) −9.82094e6 + 4.06078e6i −0.958968 + 0.396516i
\(638\) −268217. −0.0260876
\(639\) 1.45354e6 + 2.51761e6i 0.140824 + 0.243914i
\(640\) 2.39928e6 4.15567e6i 0.231542 0.401043i
\(641\) 5.20870e6 9.02173e6i 0.500707 0.867251i −0.499292 0.866434i \(-0.666407\pi\)
1.00000 0.000816994i \(-0.000260057\pi\)
\(642\) 349586. + 605500.i 0.0334746 + 0.0579798i
\(643\) 1.27284e7 1.21407 0.607037 0.794674i \(-0.292358\pi\)
0.607037 + 0.794674i \(0.292358\pi\)
\(644\) 324349. 64411.8i 0.0308175 0.00611999i
\(645\) −1.26452e6 −0.119682
\(646\) 9.36487e6 + 1.62204e7i 0.882918 + 1.52926i
\(647\) 8.06740e6 1.39731e7i 0.757657 1.31230i −0.186385 0.982477i \(-0.559677\pi\)
0.944042 0.329824i \(-0.106989\pi\)
\(648\) −5.42245e6 + 9.39196e6i −0.507292 + 0.878655i
\(649\) 1.30256e6 + 2.25611e6i 0.121391 + 0.210256i
\(650\) −4.42058e6 −0.410390
\(651\) 1.08973e6 + 1.24339e6i 0.100778 + 0.114988i
\(652\) 1.31267e6 0.120931
\(653\) 7.51475e6 + 1.30159e7i 0.689654 + 1.19452i 0.971950 + 0.235189i \(0.0755708\pi\)
−0.282296 + 0.959327i \(0.591096\pi\)
\(654\) −200810. + 347812.i −0.0183586 + 0.0317981i
\(655\) 3.09320e6 5.35758e6i 0.281712 0.487939i
\(656\) −1.39197e6 2.41097e6i −0.126291 0.218742i
\(657\) −4.67518e6 −0.422557
\(658\) 4.54182e6 1.33661e7i 0.408945 1.20348i
\(659\) 1.67927e7 1.50628 0.753140 0.657860i \(-0.228538\pi\)
0.753140 + 0.657860i \(0.228538\pi\)
\(660\) 19362.3 + 33536.5i 0.00173020 + 0.00299680i
\(661\) −5.42702e6 + 9.39987e6i −0.483123 + 0.836794i −0.999812 0.0193794i \(-0.993831\pi\)
0.516689 + 0.856173i \(0.327164\pi\)
\(662\) 1.80349e6 3.12374e6i 0.159944 0.277032i
\(663\) −1.30111e6 2.25359e6i −0.114956 0.199110i
\(664\) −4.76675e6 −0.419567
\(665\) −3.25363e6 + 9.57506e6i −0.285308 + 0.839629i
\(666\) 1.25557e7 1.09687
\(667\) −151404. 262240.i −0.0131772 0.0228236i
\(668\) −371152. + 642853.i −0.0321818 + 0.0557405i
\(669\) 378281. 655202.i 0.0326775 0.0565992i
\(670\) 1.65466e6 + 2.86595e6i 0.142404 + 0.246651i
\(671\) 290174. 0.0248801
\(672\) −391325. 446501.i −0.0334283 0.0381417i
\(673\) 1.23697e7 1.05274 0.526371 0.850255i \(-0.323552\pi\)
0.526371 + 0.850255i \(0.323552\pi\)
\(674\) 1.53391e6 + 2.65680e6i 0.130062 + 0.225273i
\(675\) −689917. + 1.19497e6i −0.0582824 + 0.100948i
\(676\) 87958.1 152348.i 0.00740302 0.0128224i
\(677\) 502503. + 870361.i 0.0421373 + 0.0729840i 0.886325 0.463064i \(-0.153250\pi\)
−0.844188 + 0.536048i \(0.819917\pi\)
\(678\) −1.31060e6 −0.109495
\(679\) −1.34481e7 + 2.67062e6i −1.11940 + 0.222299i
\(680\) −1.60326e7 −1.32963
\(681\) 877928. + 1.52062e6i 0.0725422 + 0.125647i
\(682\) 1.12192e6 1.94322e6i 0.0923633 0.159978i
\(683\) −935093. + 1.61963e6i −0.0767014 + 0.132851i −0.901825 0.432102i \(-0.857772\pi\)
0.825123 + 0.564952i \(0.191105\pi\)
\(684\) 1.37210e6 + 2.37654e6i 0.112136 + 0.194225i
\(685\) −3.81290e6 −0.310476
\(686\) −9.92808e6 4.90755e6i −0.805480 0.398157i
\(687\) −1.18440e6 −0.0957426
\(688\) −5.72401e6 9.91427e6i −0.461030 0.798527i
\(689\) 3.97711e6 6.88855e6i 0.319168 0.552815i
\(690\) 91594.5 158646.i 0.00732397 0.0126855i
\(691\) −9.69333e6 1.67893e7i −0.772286 1.33764i −0.936307 0.351181i \(-0.885780\pi\)
0.164022 0.986457i \(-0.447553\pi\)
\(692\) −4.39549e6 −0.348933
\(693\) 2.18798e6 434506.i 0.173065 0.0343687i
\(694\) −8.93199e6 −0.703963
\(695\) 6.99896e6 + 1.21226e7i 0.549631 + 0.951989i
\(696\) −147861. + 256102.i −0.0115699 + 0.0200397i
\(697\) −3.48735e6 + 6.04026e6i −0.271902 + 0.470949i
\(698\) 995905. + 1.72496e6i 0.0773712 + 0.134011i
\(699\) −2.20046e6 −0.170342
\(700\) 724634. + 826807.i 0.0558951 + 0.0637763i
\(701\) 1.17488e7 0.903024 0.451512 0.892265i \(-0.350885\pi\)
0.451512 + 0.892265i \(0.350885\pi\)
\(702\) 1.61208e6 + 2.79221e6i 0.123465 + 0.213848i
\(703\) 9.65134e6 1.67166e7i 0.736545 1.27573i
\(704\) −1.31267e6 + 2.27361e6i −0.0998214 + 0.172896i
\(705\) 933168. + 1.61629e6i 0.0707110 + 0.122475i
\(706\) −2.50279e6 −0.188978
\(707\) 1.52083e6 4.47564e6i 0.114428 0.336749i
\(708\) 464008. 0.0347890
\(709\) −8.39738e6 1.45447e7i −0.627377 1.08665i −0.988076 0.153966i \(-0.950795\pi\)
0.360699 0.932682i \(-0.382538\pi\)
\(710\) 1.29481e6 2.24268e6i 0.0963965 0.166964i
\(711\) 4.30663e6 7.45931e6i 0.319495 0.553381i
\(712\) 6.81312e6 + 1.18007e7i 0.503670 + 0.872382i
\(713\) 2.53322e6 0.186616
\(714\) 872476. 2.56760e6i 0.0640484 0.188487i
\(715\) −1.90683e6 −0.139491
\(716\) −2.31126e6 4.00323e6i −0.168487 0.291828i
\(717\) −889043. + 1.53987e6i −0.0645840 + 0.111863i
\(718\) −9.58182e6 + 1.65962e7i −0.693644 + 1.20143i
\(719\) 8.25652e6 + 1.43007e7i 0.595628 + 1.03166i 0.993458 + 0.114199i \(0.0364300\pi\)
−0.397830 + 0.917459i \(0.630237\pi\)
\(720\) 7.87323e6 0.566007
\(721\) 5.51314e6 + 6.29049e6i 0.394967 + 0.450657i
\(722\) −5.09215e6 −0.363545
\(723\) 404981. + 701447.i 0.0288130 + 0.0499056i
\(724\) 1.92277e6 3.33034e6i 0.136327 0.236125i
\(725\) 503369. 871861.i 0.0355665 0.0616030i
\(726\) −824945. 1.42885e6i −0.0580876 0.100611i
\(727\) −1.25756e6 −0.0882453 −0.0441227 0.999026i \(-0.514049\pi\)
−0.0441227 + 0.999026i \(0.514049\pi\)
\(728\) 1.55974e7 3.09745e6i 1.09075 0.216609i
\(729\) −1.28348e7 −0.894479
\(730\) 2.08232e6 + 3.60669e6i 0.144624 + 0.250496i
\(731\) −1.43405e7 + 2.48385e7i −0.992592 + 1.71922i
\(732\) 25841.9 44759.4i 0.00178257 0.00308750i
\(733\) 991661. + 1.71761e6i 0.0681716 + 0.118077i 0.898096 0.439798i \(-0.144950\pi\)
−0.829925 + 0.557875i \(0.811617\pi\)
\(734\) 1.11703e7 0.765288
\(735\) 1.35307e6 559471.i 0.0923852 0.0381996i
\(736\) −909684. −0.0619007
\(737\) −561125. 971896.i −0.0380532 0.0659100i
\(738\) 2.14096e6 3.70825e6i 0.144700 0.250627i
\(739\) 1.19404e7 2.06813e7i 0.804278 1.39305i −0.112499 0.993652i \(-0.535885\pi\)
0.916777 0.399399i \(-0.130781\pi\)
\(740\) 1.33463e6 + 2.31164e6i 0.0895943 + 0.155182i
\(741\) 2.45604e6 0.164320
\(742\) 8.13032e6 1.61458e6i 0.542123 0.107659i
\(743\) −1.90819e7 −1.26809 −0.634043 0.773298i \(-0.718606\pi\)
−0.634043 + 0.773298i \(0.718606\pi\)
\(744\) −1.23697e6 2.14249e6i −0.0819266 0.141901i
\(745\) −2.89178e6 + 5.00871e6i −0.190886 + 0.330625i
\(746\) −4.20943e6 + 7.29095e6i −0.276934 + 0.479664i
\(747\) −2.93227e6 5.07885e6i −0.192266 0.333015i
\(748\) 878323. 0.0573985
\(749\) 5.64349e6 + 6.43922e6i 0.367573 + 0.419400i
\(750\) 1.99278e6 0.129362
\(751\) 1.87903e6 + 3.25457e6i 0.121572 + 0.210569i 0.920388 0.391007i \(-0.127873\pi\)
−0.798816 + 0.601576i \(0.794540\pi\)
\(752\) −8.44817e6 + 1.46327e7i −0.544776 + 0.943580i
\(753\) 874060. 1.51392e6i 0.0561764 0.0973004i
\(754\) −1.17619e6 2.03722e6i −0.0753439 0.130500i
\(755\) 4.64994e6 0.296880
\(756\) 257986. 759223.i 0.0164169 0.0483131i
\(757\) 1.69904e7 1.07761 0.538807 0.842429i \(-0.318875\pi\)
0.538807 + 0.842429i \(0.318875\pi\)
\(758\) −7.16795e6 1.24153e7i −0.453129 0.784843i
\(759\) −31061.4 + 53799.8i −0.00195711 + 0.00338982i
\(760\) 7.56599e6 1.31047e7i 0.475151 0.822986i
\(761\) −1.11999e7 1.93988e7i −0.701056 1.21426i −0.968096 0.250579i \(-0.919379\pi\)
0.267040 0.963685i \(-0.413954\pi\)
\(762\) −1.36269e6 −0.0850180
\(763\) −1.58241e6 + 4.65685e6i −0.0984027 + 0.289588i
\(764\) −2.57550e6 −0.159635
\(765\) −9.86250e6 1.70824e7i −0.609303 1.05534i
\(766\) 8.25554e6 1.42990e7i 0.508362 0.880510i
\(767\) −1.14241e7 + 1.97871e7i −0.701184 + 1.21449i
\(768\) 606241. + 1.05004e6i 0.0370888 + 0.0642396i
\(769\) −1.87866e7 −1.14560 −0.572799 0.819696i \(-0.694142\pi\)
−0.572799 + 0.819696i \(0.694142\pi\)
\(770\) −1.30973e6 1.49440e6i −0.0796075 0.0908321i
\(771\) 608138. 0.0368439
\(772\) 2.37589e6 + 4.11516e6i 0.143477 + 0.248509i
\(773\) −4.65419e6 + 8.06129e6i −0.280153 + 0.485239i −0.971422 0.237358i \(-0.923719\pi\)
0.691269 + 0.722597i \(0.257052\pi\)
\(774\) 8.80394e6 1.52489e7i 0.528232 0.914925i
\(775\) 4.21106e6 + 7.29377e6i 0.251847 + 0.436212i
\(776\) 2.05156e7 1.22301
\(777\) −2.74121e6 + 544370.i −0.162888 + 0.0323476i
\(778\) −2.36525e7 −1.40097
\(779\) −3.29144e6 5.70094e6i −0.194331 0.336592i