Properties

Label 7.6.c.a.2.2
Level 7
Weight 6
Character 7.2
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 2.2
Root \(-1.27069 + 2.20090i\)
Character \(\chi\) = 7.2
Dual form 7.6.c.a.4.2

$q$-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 \(\left(\mathbb{Z}/7\mathbb{Z}\right)^\times\).

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

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 −0.549081 0.835769i \(-0.685022\pi\)
0.998338 + 0.0576333i \(0.0183554\pi\)
\(3\) −1.04138 1.80373i −0.0668046 0.115709i 0.830688 0.556738i \(-0.187947\pi\)
−0.897493 + 0.441029i \(0.854614\pi\)
\(4\) 3.08276 + 5.33950i 0.0963363 + 0.166859i
\(5\) −20.9138 + 36.2238i −0.374118 + 0.647991i −0.990195 0.139695i \(-0.955388\pi\)
0.616077 + 0.787686i \(0.288721\pi\)
\(6\) −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 0.817611 0.575770i \(-0.195298\pi\)
−0.907437 + 0.420187i \(0.861964\pi\)
\(12\) 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 0.898728 + 0.438506i \(0.144492\pi\)
−0.0696071 + 0.997574i \(0.522175\pi\)
\(18\) −606.531 1050.54i −0.441237 0.764245i
\(19\) 932.463 1615.07i 0.592581 1.02638i −0.401303 0.915945i \(-0.631443\pi\)
0.993883 0.110434i \(-0.0352242\pi\)
\(20\) −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 −0.903910 0.427723i \(-0.859316\pi\)
0.822374 + 0.568947i \(0.192649\pi\)
\(24\) −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 −0.996340 0.0854740i \(-0.972760\pi\)
0.424148 0.905593i \(-0.360574\pi\)
\(32\) 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 0.367739 + 0.929929i \(0.380132\pi\)
−0.989212 + 0.146493i \(0.953201\pi\)
\(38\) −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 −0.258536 0.966002i \(-0.583240\pi\)
0.965850 0.259102i \(-0.0834265\pi\)
\(48\) −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 0.670261 0.742125i \(-0.266182\pi\)
−0.977830 + 0.209400i \(0.932849\pi\)
\(54\) −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 0.976263 + 0.216588i \(0.0694928\pi\)
−0.300561 + 0.953763i \(0.597174\pi\)
\(60\) 268.561 + 465.161i 0.00963086 + 0.0166811i
\(61\) −2012.40 + 3485.58i −0.0692451 + 0.119936i −0.898569 0.438832i \(-0.855392\pi\)
0.829324 + 0.558768i \(0.188726\pi\)
\(62\) −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 0.740467 0.672093i \(-0.234604\pi\)
−0.952283 + 0.305217i \(0.901271\pi\)
\(68\) −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 0.738191 0.674592i \(-0.235680\pi\)
−0.953309 + 0.301996i \(0.902347\pi\)
\(74\) 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 −0.981573 0.191085i \(-0.938799\pi\)
0.656272 + 0.754525i \(0.272133\pi\)
\(80\) 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 −0.529409 0.848367i \(-0.677586\pi\)
0.999412 + 0.0342986i \(0.0109197\pi\)
\(90\) 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 0.763307 0.646036i \(-0.223574\pi\)
−0.941137 + 0.338025i \(0.890241\pi\)
\(102\) −10458.8 18115.1i −0.0995359 0.172401i
\(103\) −32260.0 + 55876.0i −0.299621 + 0.518958i −0.976049 0.217550i \(-0.930193\pi\)
0.676428 + 0.736508i \(0.263527\pi\)
\(104\) −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 −0.971097 0.238687i \(-0.923283\pi\)
0.692257 + 0.721651i \(0.256616\pi\)
\(108\) −3092.59 5356.52i −0.0255131 0.0441900i
\(109\) 18969.0 + 32855.3i 0.152925 + 0.264874i 0.932302 0.361682i \(-0.117797\pi\)
−0.779377 + 0.626556i \(0.784464\pi\)
\(110\) 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 −0.614049 0.789268i \(-0.710460\pi\)
0.990551 + 0.137148i \(0.0437936\pi\)
\(132\) −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 0.950918 0.309444i \(-0.100143\pi\)
−0.743445 + 0.668797i \(0.766810\pi\)
\(138\) 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 −0.964927 0.262519i \(-0.915447\pi\)
0.709812 + 0.704392i \(0.248780\pi\)
\(150\) −7280.38 12610.0i −0.0264196 0.0457601i
\(151\) −55584.6 96275.4i −0.198386 0.343615i 0.749619 0.661870i \(-0.230237\pi\)
−0.948005 + 0.318254i \(0.896903\pi\)
\(152\) 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 0.895252 0.445561i \(-0.146996\pi\)
−0.833493 + 0.552530i \(0.813662\pi\)
\(158\) 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 −0.665363 0.746520i \(-0.731723\pi\)
0.979187 + 0.202961i \(0.0650565\pi\)
\(164\) −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 −0.0852723 + 0.996358i \(0.527176\pi\)
−0.820235 + 0.572027i \(0.806157\pi\)
\(174\) −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 0.857322 + 0.514780i \(0.172127\pi\)
0.0171519 + 0.999853i \(0.494540\pi\)
\(180\) −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 −0.995351 0.0963141i \(-0.969295\pi\)
0.581086 + 0.813842i \(0.302628\pi\)
\(192\) −37921.1 65681.3i −0.0742383 0.128585i
\(193\) −385350. 667446.i −0.744667 1.28980i −0.950350 0.311183i \(-0.899275\pi\)
0.205683 0.978619i \(-0.434058\pi\)
\(194\) 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 0.991586 0.129449i \(-0.0413210\pi\)
−0.607899 + 0.794014i \(0.707988\pi\)
\(200\) 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 0.998733 + 0.0503177i \(0.0160234\pi\)
−0.455790 + 0.890087i \(0.650643\pi\)
\(228\) −11974.1 20739.7i −0.0152547 0.0264219i
\(229\) 284333. 492479.i 0.358293 0.620582i −0.629382 0.777096i \(-0.716692\pi\)
0.987676 + 0.156513i \(0.0500254\pi\)
\(230\) −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 −0.348526 0.937299i \(-0.613318\pi\)
0.985988 0.166817i \(-0.0533488\pi\)
\(234\) 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 0.953474 0.301476i \(-0.0974792\pi\)
−0.737823 + 0.674995i \(0.764146\pi\)
\(242\) −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 −0.926694 0.375817i \(-0.877362\pi\)
0.788814 + 0.614632i \(0.210695\pi\)
\(258\) 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 0.923132 0.384483i \(-0.125620\pi\)
−0.794538 + 0.607214i \(0.792287\pi\)
\(264\) −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 0.915476 0.402374i \(-0.131815\pi\)
−0.806204 + 0.591638i \(0.798481\pi\)
\(270\) −106639. 184704.i −0.0890237 0.154194i
\(271\) 1.09776e6 1.90137e6i 0.907994 1.57269i 0.0911464 0.995838i \(-0.470947\pi\)
0.816847 0.576854i \(-0.195720\pi\)
\(272\) 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 0.840094 0.542441i \(-0.182500\pi\)
−0.889815 + 0.456322i \(0.849167\pi\)
\(278\) −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 0.556550 0.830814i \(-0.312125\pi\)
−0.997781 + 0.0665792i \(0.978792\pi\)
\(284\) 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 0.963853 0.266436i \(-0.0858462\pi\)
−0.712667 + 0.701503i \(0.752513\pi\)
\(312\) 127737. + 221247.i 0.0742898 + 0.128674i
\(313\) −808495. + 1.40035e6i −0.466462 + 0.807936i −0.999266 0.0383025i \(-0.987805\pi\)
0.532804 + 0.846239i \(0.321138\pi\)
\(314\) 193900. 0.110982
\(315\) −416380. 1.22536e6i −0.236436 0.695805i
\(316\) −222512. −0.125354
\(317\) 1.13280e6 1.96206e6i 0.633145 1.09664i −0.353760 0.935336i \(-0.615097\pi\)
0.986905 0.161303i \(-0.0515698\pi\)
\(318\) 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 −0.941199 0.337853i \(-0.890299\pi\)
0.763189 + 0.646175i \(0.223633\pi\)
\(332\) −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 0.600942 0.799293i \(-0.294792\pi\)
−0.992679 + 0.120784i \(0.961459\pi\)
\(348\) 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 0.808643 0.588300i \(-0.200203\pi\)
−0.913804 + 0.406155i \(0.866869\pi\)
\(354\) −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 −0.164480 0.986380i \(-0.552594\pi\)
0.936470 0.350747i \(-0.114072\pi\)
\(360\) 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 0.996501 0.0835854i \(-0.0266371\pi\)
−0.570637 + 0.821202i \(0.693304\pi\)
\(368\) 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 −0.669758 0.742579i \(-0.733602\pi\)
0.977972 + 0.208738i \(0.0669356\pi\)
\(374\) −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 0.431195 + 0.902259i \(0.358092\pi\)
−0.996977 + 0.0777034i \(0.975241\pi\)
\(384\) −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 −0.932170 0.362021i \(-0.882087\pi\)
0.152566 0.988293i \(-0.451246\pi\)
\(390\) −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 −0.758399 0.651791i \(-0.774018\pi\)
0.943667 + 0.330897i \(0.107351\pi\)
\(398\) 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 −0.889969 0.456021i \(-0.849274\pi\)
0.839910 + 0.542725i \(0.182607\pi\)
\(402\) 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 0.745148 0.666900i \(-0.232379\pi\)
−0.950126 + 0.311867i \(0.899046\pi\)
\(410\) −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 0.975655 + 0.219309i \(0.0703803\pi\)
−0.297900 + 0.954597i \(0.596286\pi\)
\(432\) −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 −0.979705 0.200443i \(-0.935762\pi\)
0.663442 + 0.748228i \(0.269095\pi\)
\(440\) 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 −0.999188 0.0402844i \(-0.987174\pi\)
0.534481 + 0.845180i \(0.320507\pi\)
\(444\) 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 −0.719179 0.694825i \(-0.755482\pi\)
0.961325 + 0.275415i \(0.0888153\pi\)
\(458\) −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 −0.415073 0.909788i \(-0.636244\pi\)
0.995436 0.0954306i \(-0.0304228\pi\)
\(468\) −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 0.979709 + 0.200426i \(0.0642326\pi\)
−0.316280 + 0.948666i \(0.602434\pi\)
\(480\) 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 −0.812543 0.582902i \(-0.801917\pi\)
−0.0985363 0.995133i \(-0.531416\pi\)
\(488\) −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 −0.604332 0.796733i \(-0.706560\pi\)
0.992157 + 0.125000i \(0.0398931\pi\)
\(500\) −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 −0.702814 0.711374i \(-0.748073\pi\)
0.967475 + 0.252968i \(0.0814066\pi\)
\(510\) 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 0.990652 + 0.136414i \(0.0435578\pi\)
−0.377188 + 0.926137i \(0.623109\pi\)
\(522\) −443941. 768928.i −0.0713097 0.123512i
\(523\) −2.37835e6 + 4.11942e6i −0.380208 + 0.658539i −0.991092 0.133181i \(-0.957481\pi\)
0.610884 + 0.791720i \(0.290814\pi\)
\(524\) 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 0.105732 + 0.994395i \(0.466281\pi\)
−0.914037 + 0.405631i \(0.867052\pi\)
\(542\) −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 0.997734 0.0672845i \(-0.0214335\pi\)
−0.557137 + 0.830421i \(0.688100\pi\)
\(558\) −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 0.802074 0.597225i \(-0.203730\pi\)
−0.918249 + 0.396004i \(0.870397\pi\)
\(564\) −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 −0.882148 0.470973i \(-0.843903\pi\)
0.848948 + 0.528476i \(0.177236\pi\)
\(570\) −412890. 715146.i −0.0532288 0.0921951i
\(571\) −2.61182e6 4.52380e6i −0.335238 0.580649i 0.648293 0.761391i \(-0.275483\pi\)
−0.983530 + 0.180742i \(0.942150\pi\)
\(572\) −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 0.580315 0.814392i \(-0.302930\pi\)
−0.995442 + 0.0953713i \(0.969596\pi\)
\(578\) 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 −0.0510354 0.998697i \(-0.516252\pi\)
0.890415 0.455150i \(-0.150415\pi\)
\(594\) 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 −0.972481 0.232984i \(-0.925151\pi\)
0.284471 0.958685i \(-0.408182\pi\)
\(600\) 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 −0.958222 0.286026i \(-0.907666\pi\)
0.726817 + 0.686831i \(0.240999\pi\)
\(608\) 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 0.928314 0.371796i \(-0.121258\pi\)
−0.786142 + 0.618046i \(0.787925\pi\)
\(614\) −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 −0.952282 0.305220i \(-0.901270\pi\)
0.211812 0.977310i \(-0.432063\pi\)
\(620\) 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 1.00000 0.000816994i \(0.000260057\pi\)
−0.499292 + 0.866434i \(0.666407\pi\)
\(642\) 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 0.944042 + 0.329824i \(0.106989\pi\)
−0.186385 + 0.982477i \(0.559677\pi\)
\(648\) −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 −0.282296 0.959327i \(-0.591096\pi\)
0.971950 0.235189i \(-0.0755708\pi\)
\(654\) −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 0.516689 0.856173i \(-0.327164\pi\)
−0.999812 + 0.0193794i \(0.993831\pi\)
\(662\) 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 −0.844188 0.536048i \(-0.819917\pi\)
0.886325 + 0.463064i \(0.153250\pi\)
\(678\) −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 0.825123 0.564952i \(-0.191105\pi\)
−0.901825 + 0.432102i \(0.857772\pi\)
\(684\) 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 0.164022 + 0.986457i \(0.447553\pi\)
−0.936307 + 0.351181i \(0.885780\pi\)
\(692\) −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 0.360699 + 0.932682i \(0.382538\pi\)
−0.988076 + 0.153966i \(0.950795\pi\)
\(710\) 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 −0.397830 0.917459i \(-0.630237\pi\)
0.993458 0.114199i \(-0.0364300\pi\)
\(720\) 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 −0.829925 0.557875i \(-0.811617\pi\)
0.898096 + 0.439798i \(0.144950\pi\)
\(734\) 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 0.916777 + 0.399399i \(0.130781\pi\)
−0.112499 + 0.993652i \(0.535885\pi\)
\(740\) 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 −0.798816 0.601576i \(-0.794540\pi\)
0.920388 + 0.391007i \(0.127873\pi\)
\(752\) −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 0.267040 + 0.963685i \(0.413954\pi\)
−0.968096 + 0.250579i \(0.919379\pi\)
\(762\) −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 0.691269 0.722597i \(-0.257052\pi\)
−0.971422 + 0.237358i \(0.923719\pi\)
\(774\) 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