Properties

Label 76.6.f.a.27.7
Level $76$
Weight $6$
Character 76.27
Analytic conductor $12.189$
Analytic rank $0$
Dimension $96$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 76.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.1891703058\)
Analytic rank: \(0\)
Dimension: \(96\)
Relative dimension: \(48\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 27.7
Character \(\chi\) \(=\) 76.27
Dual form 76.6.f.a.31.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.03826 - 2.57214i) q^{2} +(3.22504 - 5.58593i) q^{3} +(18.7682 + 25.9182i) q^{4} +(-2.36309 + 4.09299i) q^{5} +(-30.6164 + 19.8482i) q^{6} -80.2152i q^{7} +(-27.8940 - 178.857i) q^{8} +(100.698 + 174.414i) q^{9} +O(q^{10})\) \(q+(-5.03826 - 2.57214i) q^{2} +(3.22504 - 5.58593i) q^{3} +(18.7682 + 25.9182i) q^{4} +(-2.36309 + 4.09299i) q^{5} +(-30.6164 + 19.8482i) q^{6} -80.2152i q^{7} +(-27.8940 - 178.857i) q^{8} +(100.698 + 174.414i) q^{9} +(22.4336 - 14.5434i) q^{10} +518.517i q^{11} +(205.306 - 21.2507i) q^{12} +(-282.141 + 162.894i) q^{13} +(-206.325 + 404.146i) q^{14} +(15.2421 + 26.4001i) q^{15} +(-319.508 + 972.877i) q^{16} +(386.161 - 668.851i) q^{17} +(-58.7263 - 1137.76i) q^{18} +(1558.84 - 214.749i) q^{19} +(-150.434 + 15.5711i) q^{20} +(-448.077 - 258.697i) q^{21} +(1333.70 - 2612.43i) q^{22} +(3886.24 - 2243.72i) q^{23} +(-1089.04 - 421.008i) q^{24} +(1551.33 + 2686.99i) q^{25} +(1840.48 - 94.9983i) q^{26} +2866.39 q^{27} +(2079.04 - 1505.50i) q^{28} +(-2657.17 + 1534.12i) q^{29} +(-8.88907 - 172.216i) q^{30} +5934.95 q^{31} +(4112.14 - 4079.79i) q^{32} +(2896.40 + 1672.24i) q^{33} +(-3665.96 + 2376.59i) q^{34} +(328.320 + 189.556i) q^{35} +(-2630.59 + 5883.37i) q^{36} -9616.57i q^{37} +(-8406.21 - 2927.59i) q^{38} +2101.36i q^{39} +(797.977 + 308.486i) q^{40} +(-3908.01 - 2256.29i) q^{41} +(1592.12 + 2455.90i) q^{42} +(17637.0 + 10182.7i) q^{43} +(-13439.0 + 9731.65i) q^{44} -951.836 q^{45} +(-25351.1 + 1308.52i) q^{46} +(-7408.13 + 4277.09i) q^{47} +(4404.00 + 4922.32i) q^{48} +10372.5 q^{49} +(-904.723 - 17528.0i) q^{50} +(-2490.77 - 4314.14i) q^{51} +(-9517.20 - 4255.35i) q^{52} +(-20174.2 + 11647.6i) q^{53} +(-14441.6 - 7372.75i) q^{54} +(-2122.29 - 1225.30i) q^{55} +(-14347.1 + 2237.52i) q^{56} +(3827.75 - 9400.14i) q^{57} +(17333.5 - 894.685i) q^{58} +(-10270.0 + 17788.2i) q^{59} +(-398.177 + 890.531i) q^{60} +(11435.2 + 19806.4i) q^{61} +(-29901.9 - 15265.5i) q^{62} +(13990.7 - 8077.53i) q^{63} +(-31211.8 + 9978.09i) q^{64} -1539.73i q^{65} +(-10291.6 - 15875.1i) q^{66} +(9677.85 + 16762.5i) q^{67} +(24583.0 - 2544.53i) q^{68} -28944.4i q^{69} +(-1166.60 - 1799.52i) q^{70} +(-17287.3 + 29942.5i) q^{71} +(28386.4 - 22875.7i) q^{72} +(-16494.9 + 28570.0i) q^{73} +(-24735.1 + 48450.8i) q^{74} +20012.4 q^{75} +(34822.6 + 36371.9i) q^{76} +41593.0 q^{77} +(5404.98 - 10587.2i) q^{78} +(26338.0 - 45618.7i) q^{79} +(-3226.95 - 3606.74i) q^{80} +(-15225.5 + 26371.3i) q^{81} +(13886.1 + 21419.7i) q^{82} -115275. i q^{83} +(-1704.63 - 16468.6i) q^{84} +(1825.07 + 3161.11i) q^{85} +(-62668.4 - 96668.0i) q^{86} +19790.4i q^{87} +(92740.6 - 14463.5i) q^{88} +(17896.5 - 10332.5i) q^{89} +(4795.60 + 2448.25i) q^{90} +(13066.6 + 22632.0i) q^{91} +(131091. + 58613.8i) q^{92} +(19140.5 - 33152.2i) q^{93} +(48325.4 - 2494.36i) q^{94} +(-2804.71 + 6887.79i) q^{95} +(-9527.63 - 36127.6i) q^{96} +(-129234. - 74613.0i) q^{97} +(-52259.5 - 26679.5i) q^{98} +(-90436.9 + 52213.8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 96q - 3q^{2} - 11q^{4} - 2q^{5} - 27q^{6} - 3588q^{9} + O(q^{10}) \) \( 96q - 3q^{2} - 11q^{4} - 2q^{5} - 27q^{6} - 3588q^{9} + 648q^{10} - 354q^{13} + 2154q^{14} - 611q^{16} - 1006q^{17} + 10524q^{20} + 7824q^{21} + 93q^{22} - 5311q^{24} - 25002q^{25} - 13428q^{26} + 1556q^{28} - 6q^{29} - 12656q^{30} - 30453q^{32} + 8586q^{33} + 30102q^{34} - 2306q^{36} + 29846q^{38} - 1392q^{40} + 29064q^{41} + 18616q^{42} + 9155q^{44} + 13464q^{45} + 38217q^{48} - 116224q^{49} + 36858q^{52} + 26262q^{53} - 26355q^{54} + 53974q^{57} - 112740q^{58} - 108810q^{60} - 77370q^{61} - 106848q^{62} + 337966q^{64} + 166855q^{66} + 175796q^{68} + 148122q^{70} - 259842q^{72} - 52040q^{73} + 103690q^{74} - 194709q^{76} + 197584q^{77} + 253206q^{78} - 171934q^{80} - 313100q^{81} + 63919q^{82} - 161762q^{85} - 38442q^{86} + 10482q^{89} - 372450q^{90} + 64544q^{92} + 94012q^{93} + 537614q^{96} + 177180q^{97} - 509397q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.03826 2.57214i −0.890648 0.454694i
\(3\) 3.22504 5.58593i 0.206886 0.358338i −0.743846 0.668351i \(-0.767000\pi\)
0.950732 + 0.310014i \(0.100334\pi\)
\(4\) 18.7682 + 25.9182i 0.586507 + 0.809944i
\(5\) −2.36309 + 4.09299i −0.0422722 + 0.0732177i −0.886387 0.462944i \(-0.846793\pi\)
0.844115 + 0.536162i \(0.180126\pi\)
\(6\) −30.6164 + 19.8482i −0.347197 + 0.225083i
\(7\) 80.2152i 0.618745i −0.950941 0.309372i \(-0.899881\pi\)
0.950941 0.309372i \(-0.100119\pi\)
\(8\) −27.8940 178.857i −0.154094 0.988056i
\(9\) 100.698 + 174.414i 0.414396 + 0.717755i
\(10\) 22.4336 14.5434i 0.0709413 0.0459902i
\(11\) 518.517i 1.29206i 0.763313 + 0.646028i \(0.223571\pi\)
−0.763313 + 0.646028i \(0.776429\pi\)
\(12\) 205.306 21.2507i 0.411574 0.0426010i
\(13\) −282.141 + 162.894i −0.463028 + 0.267329i −0.713317 0.700842i \(-0.752808\pi\)
0.250289 + 0.968171i \(0.419474\pi\)
\(14\) −206.325 + 404.146i −0.281340 + 0.551084i
\(15\) 15.2421 + 26.4001i 0.0174911 + 0.0302955i
\(16\) −319.508 + 972.877i −0.312020 + 0.950076i
\(17\) 386.161 668.851i 0.324076 0.561315i −0.657249 0.753673i \(-0.728280\pi\)
0.981325 + 0.192358i \(0.0616135\pi\)
\(18\) −58.7263 1137.76i −0.0427220 0.827690i
\(19\) 1558.84 214.749i 0.990644 0.136473i
\(20\) −150.434 + 15.5711i −0.0840952 + 0.00870449i
\(21\) −448.077 258.697i −0.221720 0.128010i
\(22\) 1333.70 2612.43i 0.587490 1.15077i
\(23\) 3886.24 2243.72i 1.53183 0.884402i 0.532552 0.846397i \(-0.321233\pi\)
0.999278 0.0380048i \(-0.0121002\pi\)
\(24\) −1089.04 421.008i −0.385938 0.149198i
\(25\) 1551.33 + 2686.99i 0.496426 + 0.859835i
\(26\) 1840.48 94.9983i 0.533948 0.0275602i
\(27\) 2866.39 0.756704
\(28\) 2079.04 1505.50i 0.501149 0.362898i
\(29\) −2657.17 + 1534.12i −0.586712 + 0.338738i −0.763796 0.645457i \(-0.776667\pi\)
0.177084 + 0.984196i \(0.443333\pi\)
\(30\) −8.88907 172.216i −0.00180324 0.0349357i
\(31\) 5934.95 1.10921 0.554604 0.832114i \(-0.312870\pi\)
0.554604 + 0.832114i \(0.312870\pi\)
\(32\) 4112.14 4079.79i 0.709893 0.704309i
\(33\) 2896.40 + 1672.24i 0.462993 + 0.267309i
\(34\) −3665.96 + 2376.59i −0.543864 + 0.352579i
\(35\) 328.320 + 189.556i 0.0453031 + 0.0261557i
\(36\) −2630.59 + 5883.37i −0.338296 + 0.756606i
\(37\) 9616.57i 1.15482i −0.816453 0.577412i \(-0.804063\pi\)
0.816453 0.577412i \(-0.195937\pi\)
\(38\) −8406.21 2927.59i −0.944368 0.328890i
\(39\) 2101.36i 0.221227i
\(40\) 797.977 + 308.486i 0.0788571 + 0.0304849i
\(41\) −3908.01 2256.29i −0.363075 0.209621i 0.307354 0.951595i \(-0.400556\pi\)
−0.670429 + 0.741974i \(0.733890\pi\)
\(42\) 1592.12 + 2455.90i 0.139269 + 0.214826i
\(43\) 17637.0 + 10182.7i 1.45463 + 0.839832i 0.998739 0.0502024i \(-0.0159867\pi\)
0.455893 + 0.890035i \(0.349320\pi\)
\(44\) −13439.0 + 9731.65i −1.04649 + 0.757800i
\(45\) −951.836 −0.0700698
\(46\) −25351.1 + 1308.52i −1.76645 + 0.0911771i
\(47\) −7408.13 + 4277.09i −0.489175 + 0.282425i −0.724232 0.689556i \(-0.757806\pi\)
0.235057 + 0.971982i \(0.424472\pi\)
\(48\) 4404.00 + 4922.32i 0.275895 + 0.308366i
\(49\) 10372.5 0.617155
\(50\) −904.723 17528.0i −0.0511789 0.991532i
\(51\) −2490.77 4314.14i −0.134094 0.232257i
\(52\) −9517.20 4255.35i −0.488091 0.218236i
\(53\) −20174.2 + 11647.6i −0.986522 + 0.569569i −0.904233 0.427040i \(-0.859556\pi\)
−0.0822891 + 0.996608i \(0.526223\pi\)
\(54\) −14441.6 7372.75i −0.673957 0.344069i
\(55\) −2122.29 1225.30i −0.0946014 0.0546181i
\(56\) −14347.1 + 2237.52i −0.611355 + 0.0953449i
\(57\) 3827.75 9400.14i 0.156047 0.383219i
\(58\) 17333.5 894.685i 0.676576 0.0349221i
\(59\) −10270.0 + 17788.2i −0.384098 + 0.665276i −0.991644 0.129008i \(-0.958821\pi\)
0.607546 + 0.794284i \(0.292154\pi\)
\(60\) −398.177 + 890.531i −0.0142790 + 0.0319353i
\(61\) 11435.2 + 19806.4i 0.393479 + 0.681525i 0.992906 0.118905i \(-0.0379382\pi\)
−0.599427 + 0.800429i \(0.704605\pi\)
\(62\) −29901.9 15265.5i −0.987914 0.504350i
\(63\) 13990.7 8077.53i 0.444107 0.256406i
\(64\) −31211.8 + 9978.09i −0.952510 + 0.304507i
\(65\) 1539.73i 0.0452024i
\(66\) −10291.6 15875.1i −0.290819 0.448598i
\(67\) 9677.85 + 16762.5i 0.263385 + 0.456197i 0.967139 0.254247i \(-0.0818276\pi\)
−0.703754 + 0.710444i \(0.748494\pi\)
\(68\) 24583.0 2544.53i 0.644707 0.0667320i
\(69\) 28944.4i 0.731883i
\(70\) −1166.60 1799.52i −0.0284562 0.0438946i
\(71\) −17287.3 + 29942.5i −0.406988 + 0.704924i −0.994551 0.104255i \(-0.966754\pi\)
0.587562 + 0.809179i \(0.300088\pi\)
\(72\) 28386.4 22875.7i 0.645326 0.520048i
\(73\) −16494.9 + 28570.0i −0.362279 + 0.627485i −0.988336 0.152292i \(-0.951335\pi\)
0.626057 + 0.779778i \(0.284668\pi\)
\(74\) −24735.1 + 48450.8i −0.525092 + 1.02854i
\(75\) 20012.4 0.410815
\(76\) 34822.6 + 36371.9i 0.691555 + 0.722324i
\(77\) 41593.0 0.799454
\(78\) 5404.98 10587.2i 0.100591 0.197035i
\(79\) 26338.0 45618.7i 0.474804 0.822385i −0.524780 0.851238i \(-0.675852\pi\)
0.999584 + 0.0288533i \(0.00918558\pi\)
\(80\) −3226.95 3606.74i −0.0563726 0.0630072i
\(81\) −15225.5 + 26371.3i −0.257844 + 0.446600i
\(82\) 13886.1 + 21419.7i 0.228058 + 0.351787i
\(83\) 115275.i 1.83670i −0.395764 0.918352i \(-0.629520\pi\)
0.395764 0.918352i \(-0.370480\pi\)
\(84\) −1704.63 16468.6i −0.0263592 0.254659i
\(85\) 1825.07 + 3161.11i 0.0273988 + 0.0474561i
\(86\) −62668.4 96668.0i −0.913698 1.40941i
\(87\) 19790.4i 0.280321i
\(88\) 92740.6 14463.5i 1.27662 0.199098i
\(89\) 17896.5 10332.5i 0.239493 0.138271i −0.375451 0.926842i \(-0.622512\pi\)
0.614944 + 0.788571i \(0.289179\pi\)
\(90\) 4795.60 + 2448.25i 0.0624075 + 0.0318603i
\(91\) 13066.6 + 22632.0i 0.165409 + 0.286496i
\(92\) 131091. + 58613.8i 1.61474 + 0.721989i
\(93\) 19140.5 33152.2i 0.229480 0.397471i
\(94\) 48325.4 2494.36i 0.564099 0.0291165i
\(95\) −2804.71 + 6887.79i −0.0318845 + 0.0783017i
\(96\) −9527.63 36127.6i −0.105513 0.400093i
\(97\) −129234. 74613.0i −1.39459 0.805166i −0.400769 0.916179i \(-0.631257\pi\)
−0.993819 + 0.111014i \(0.964590\pi\)
\(98\) −52259.5 26679.5i −0.549667 0.280617i
\(99\) −90436.9 + 52213.8i −0.927380 + 0.535423i
\(100\) −40526.1 + 90637.7i −0.405261 + 0.906377i
\(101\) −17119.2 29651.2i −0.166986 0.289227i 0.770373 0.637593i \(-0.220070\pi\)
−0.937359 + 0.348366i \(0.886737\pi\)
\(102\) 1452.59 + 28142.4i 0.0138243 + 0.267831i
\(103\) 76097.4 0.706768 0.353384 0.935478i \(-0.385031\pi\)
0.353384 + 0.935478i \(0.385031\pi\)
\(104\) 37004.8 + 45919.1i 0.335486 + 0.416304i
\(105\) 2117.69 1222.65i 0.0187452 0.0108225i
\(106\) 131602. 6792.77i 1.13762 0.0587195i
\(107\) −147092. −1.24202 −0.621012 0.783801i \(-0.713278\pi\)
−0.621012 + 0.783801i \(0.713278\pi\)
\(108\) 53797.1 + 74291.8i 0.443812 + 0.612888i
\(109\) 182886. + 105589.i 1.47440 + 0.851245i 0.999584 0.0288408i \(-0.00918160\pi\)
0.474815 + 0.880086i \(0.342515\pi\)
\(110\) 7541.00 + 11632.2i 0.0594220 + 0.0916602i
\(111\) −53717.5 31013.8i −0.413817 0.238917i
\(112\) 78039.6 + 25629.4i 0.587855 + 0.193061i
\(113\) 62274.0i 0.458786i 0.973334 + 0.229393i \(0.0736742\pi\)
−0.973334 + 0.229393i \(0.926326\pi\)
\(114\) −43463.7 + 37514.9i −0.313231 + 0.270360i
\(115\) 21208.5i 0.149543i
\(116\) −89632.1 40076.5i −0.618470 0.276532i
\(117\) −56822.1 32806.3i −0.383754 0.221560i
\(118\) 97496.8 63205.8i 0.644593 0.417880i
\(119\) −53652.0 30976.0i −0.347311 0.200520i
\(120\) 4296.69 3462.57i 0.0272384 0.0219505i
\(121\) −107809. −0.669411
\(122\) −6668.94 129203.i −0.0405655 0.785911i
\(123\) −25207.0 + 14553.3i −0.150230 + 0.0867356i
\(124\) 111388. + 153823.i 0.650558 + 0.898397i
\(125\) −29433.1 −0.168485
\(126\) −91265.4 + 4710.75i −0.512129 + 0.0264340i
\(127\) −42010.2 72763.8i −0.231124 0.400319i 0.727015 0.686622i \(-0.240907\pi\)
−0.958139 + 0.286303i \(0.907574\pi\)
\(128\) 182919. + 30008.9i 0.986808 + 0.161892i
\(129\) 113760. 65679.3i 0.601887 0.347500i
\(130\) −3960.40 + 7757.58i −0.0205533 + 0.0402594i
\(131\) −71379.9 41211.2i −0.363411 0.209815i 0.307165 0.951656i \(-0.400620\pi\)
−0.670576 + 0.741841i \(0.733953\pi\)
\(132\) 11018.9 + 106455.i 0.0550429 + 0.531777i
\(133\) −17226.1 125043.i −0.0844420 0.612956i
\(134\) −5644.03 109347.i −0.0271536 0.526071i
\(135\) −6773.54 + 11732.1i −0.0319876 + 0.0554041i
\(136\) −130400. 50410.8i −0.604549 0.233709i
\(137\) 79479.4 + 137662.i 0.361787 + 0.626634i 0.988255 0.152813i \(-0.0488333\pi\)
−0.626468 + 0.779447i \(0.715500\pi\)
\(138\) −74448.9 + 145829.i −0.332783 + 0.651850i
\(139\) −4665.98 + 2693.91i −0.0204836 + 0.0118262i −0.510207 0.860052i \(-0.670431\pi\)
0.489723 + 0.871878i \(0.337098\pi\)
\(140\) 1249.04 + 12067.1i 0.00538586 + 0.0520335i
\(141\) 55175.1i 0.233720i
\(142\) 164114. 106393.i 0.683008 0.442784i
\(143\) −84463.3 146295.i −0.345405 0.598258i
\(144\) −201858. + 42240.2i −0.811221 + 0.169754i
\(145\) 14501.1i 0.0572769i
\(146\) 156592. 101516.i 0.607977 0.394142i
\(147\) 33451.8 57940.2i 0.127681 0.221150i
\(148\) 249244. 180486.i 0.935343 0.677312i
\(149\) 54915.2 95116.0i 0.202641 0.350984i −0.746738 0.665119i \(-0.768381\pi\)
0.949379 + 0.314134i \(0.101714\pi\)
\(150\) −100828. 51474.7i −0.365891 0.186795i
\(151\) −288225. −1.02870 −0.514351 0.857580i \(-0.671967\pi\)
−0.514351 + 0.857580i \(0.671967\pi\)
\(152\) −81891.7 272820.i −0.287495 0.957782i
\(153\) 155543. 0.537183
\(154\) −209556. 106983.i −0.712032 0.363507i
\(155\) −14024.8 + 24291.7i −0.0468887 + 0.0812136i
\(156\) −54463.4 + 39438.7i −0.179182 + 0.129751i
\(157\) −225824. + 391138.i −0.731173 + 1.26643i 0.225209 + 0.974311i \(0.427694\pi\)
−0.956382 + 0.292119i \(0.905640\pi\)
\(158\) −250035. + 162094.i −0.796817 + 0.516565i
\(159\) 150256.i 0.471344i
\(160\) 6981.21 + 26471.9i 0.0215591 + 0.0817495i
\(161\) −179981. 311736.i −0.547219 0.947812i
\(162\) 144540. 93703.4i 0.432715 0.280523i
\(163\) 376080.i 1.10869i 0.832286 + 0.554346i \(0.187032\pi\)
−0.832286 + 0.554346i \(0.812968\pi\)
\(164\) −14867.3 143635.i −0.0431642 0.417015i
\(165\) −13688.9 + 7903.30i −0.0391435 + 0.0225995i
\(166\) −296503. + 580785.i −0.835139 + 1.63586i
\(167\) −51447.0 89108.9i −0.142748 0.247246i 0.785783 0.618503i \(-0.212260\pi\)
−0.928530 + 0.371256i \(0.878927\pi\)
\(168\) −33771.2 + 87357.9i −0.0923153 + 0.238797i
\(169\) −132578. + 229631.i −0.357070 + 0.618464i
\(170\) −1064.36 20620.8i −0.00282467 0.0547247i
\(171\) 194428. + 250259.i 0.508473 + 0.654486i
\(172\) 67096.8 + 648231.i 0.172934 + 1.67074i
\(173\) −125268. 72323.4i −0.318218 0.183723i 0.332380 0.943146i \(-0.392148\pi\)
−0.650598 + 0.759422i \(0.725482\pi\)
\(174\) 50903.6 99709.2i 0.127460 0.249667i
\(175\) 215537. 124440.i 0.532019 0.307161i
\(176\) −504454. 165671.i −1.22755 0.403147i
\(177\) 66242.5 + 114735.i 0.158929 + 0.275273i
\(178\) −116744. + 6025.85i −0.276175 + 0.0142550i
\(179\) −16000.5 −0.0373251 −0.0186625 0.999826i \(-0.505941\pi\)
−0.0186625 + 0.999826i \(0.505941\pi\)
\(180\) −17864.3 24669.9i −0.0410964 0.0567526i
\(181\) 665739. 384365.i 1.51045 0.872061i 0.510529 0.859861i \(-0.329450\pi\)
0.999926 0.0122004i \(-0.00388362\pi\)
\(182\) −7620.31 147635.i −0.0170527 0.330377i
\(183\) 147516. 0.325621
\(184\) −509709. 632496.i −1.10988 1.37725i
\(185\) 39360.5 + 22724.8i 0.0845535 + 0.0488170i
\(186\) −181707. + 117798.i −0.385114 + 0.249663i
\(187\) 346811. + 200231.i 0.725251 + 0.418724i
\(188\) −249892. 111732.i −0.515653 0.230560i
\(189\) 229928.i 0.468207i
\(190\) 31847.2 27488.4i 0.0640011 0.0552415i
\(191\) 127870.i 0.253621i −0.991927 0.126811i \(-0.959526\pi\)
0.991927 0.126811i \(-0.0404740\pi\)
\(192\) −44922.5 + 206527.i −0.0879449 + 0.404319i
\(193\) −449428. 259477.i −0.868493 0.501425i −0.00164614 0.999999i \(-0.500524\pi\)
−0.866847 + 0.498574i \(0.833857\pi\)
\(194\) 459198. + 708326.i 0.875982 + 1.35123i
\(195\) −8600.84 4965.70i −0.0161977 0.00935176i
\(196\) 194674. + 268837.i 0.361965 + 0.499861i
\(197\) −169895. −0.311899 −0.155949 0.987765i \(-0.549844\pi\)
−0.155949 + 0.987765i \(0.549844\pi\)
\(198\) 589946. 30450.6i 1.06942 0.0551993i
\(199\) 654415. 377827.i 1.17144 0.676332i 0.217422 0.976078i \(-0.430235\pi\)
0.954019 + 0.299746i \(0.0969018\pi\)
\(200\) 437314. 352418.i 0.773069 0.622992i
\(201\) 124846. 0.217963
\(202\) 9983.74 + 193424.i 0.0172153 + 0.333527i
\(203\) 123060. + 213146.i 0.209593 + 0.363025i
\(204\) 65067.5 145525.i 0.109468 0.244829i
\(205\) 18470.0 10663.6i 0.0306960 0.0177223i
\(206\) −383399. 195733.i −0.629481 0.321363i
\(207\) 782676. + 451878.i 1.26957 + 0.732986i
\(208\) −68329.6 326534.i −0.109509 0.523324i
\(209\) 111351. + 808286.i 0.176331 + 1.27997i
\(210\) −13814.3 + 713.038i −0.0216163 + 0.00111574i
\(211\) 170093. 294610.i 0.263015 0.455555i −0.704027 0.710174i \(-0.748616\pi\)
0.967042 + 0.254618i \(0.0819498\pi\)
\(212\) −680518. 304275.i −1.03992 0.464972i
\(213\) 111505. + 193132.i 0.168401 + 0.291678i
\(214\) 741089. + 378341.i 1.10621 + 0.564741i
\(215\) −83355.6 + 48125.4i −0.122981 + 0.0710032i
\(216\) −79955.1 512675.i −0.116604 0.747666i
\(217\) 476074.i 0.686317i
\(218\) −649839. 1.00240e6i −0.926114 1.42856i
\(219\) 106393. + 184279.i 0.149901 + 0.259636i
\(220\) −8073.87 78002.7i −0.0112467 0.108656i
\(221\) 251613.i 0.346540i
\(222\) 190871. + 294424.i 0.259931 + 0.400951i
\(223\) 386209. 668934.i 0.520069 0.900785i −0.479659 0.877455i \(-0.659240\pi\)
0.999728 0.0233305i \(-0.00742701\pi\)
\(224\) −327262. 329856.i −0.435788 0.439243i
\(225\) −312433. + 541149.i −0.411434 + 0.712625i
\(226\) 160177. 313753.i 0.208607 0.408617i
\(227\) 1.05885e6 1.36386 0.681930 0.731417i \(-0.261141\pi\)
0.681930 + 0.731417i \(0.261141\pi\)
\(228\) 315475. 77215.6i 0.401909 0.0983711i
\(229\) −293398. −0.369717 −0.184858 0.982765i \(-0.559183\pi\)
−0.184858 + 0.982765i \(0.559183\pi\)
\(230\) 54551.1 106854.i 0.0679961 0.133190i
\(231\) 134139. 232336.i 0.165396 0.286474i
\(232\) 348508. + 432462.i 0.425101 + 0.527507i
\(233\) 108167. 187350.i 0.130528 0.226081i −0.793352 0.608763i \(-0.791666\pi\)
0.923880 + 0.382682i \(0.124999\pi\)
\(234\) 201903. + 311441.i 0.241047 + 0.371823i
\(235\) 40428.6i 0.0477550i
\(236\) −653789. + 67672.1i −0.764113 + 0.0790915i
\(237\) −169882. 294244.i −0.196461 0.340280i
\(238\) 190638. + 294066.i 0.218156 + 0.336513i
\(239\) 988288.i 1.11915i −0.828779 0.559575i \(-0.810964\pi\)
0.828779 0.559575i \(-0.189036\pi\)
\(240\) −30554.1 + 6393.66i −0.0342406 + 0.00716508i
\(241\) 489996. 282899.i 0.543438 0.313754i −0.203033 0.979172i \(-0.565080\pi\)
0.746471 + 0.665418i \(0.231747\pi\)
\(242\) 543172. + 277300.i 0.596209 + 0.304377i
\(243\) 446472. + 773312.i 0.485041 + 0.840116i
\(244\) −298728. + 668113.i −0.321219 + 0.718415i
\(245\) −24511.2 + 42454.6i −0.0260885 + 0.0451866i
\(246\) 164432. 8487.33i 0.173241 0.00894197i
\(247\) −404831. + 314515.i −0.422212 + 0.328019i
\(248\) −165550. 1.06151e6i −0.170922 1.09596i
\(249\) −643917. 371766.i −0.658160 0.379989i
\(250\) 148292. + 75705.9i 0.150060 + 0.0766090i
\(251\) −1.35487e6 + 782234.i −1.35742 + 0.783705i −0.989275 0.146065i \(-0.953339\pi\)
−0.368142 + 0.929770i \(0.620006\pi\)
\(252\) 471936. + 211013.i 0.468146 + 0.209319i
\(253\) 1.16341e6 + 2.01508e6i 1.14270 + 1.97921i
\(254\) 24500.0 + 474660.i 0.0238277 + 0.461634i
\(255\) 23543.6 0.0226737
\(256\) −844405. 621685.i −0.805287 0.592885i
\(257\) 1.44358e6 833451.i 1.36335 0.787132i 0.373284 0.927717i \(-0.378232\pi\)
0.990069 + 0.140585i \(0.0448984\pi\)
\(258\) −742089. + 38303.6i −0.694075 + 0.0358253i
\(259\) −771395. −0.714542
\(260\) 39907.1 28898.0i 0.0366115 0.0265115i
\(261\) −535145. 308966.i −0.486262 0.280744i
\(262\) 253630. + 391232.i 0.228269 + 0.352112i
\(263\) −275157. 158862.i −0.245296 0.141622i 0.372312 0.928107i \(-0.378565\pi\)
−0.617608 + 0.786486i \(0.711898\pi\)
\(264\) 218300. 564688.i 0.192772 0.498653i
\(265\) 110097.i 0.0963078i
\(266\) −234837. + 674306.i −0.203499 + 0.584323i
\(267\) 133291.i 0.114426i
\(268\) −252819. + 565435.i −0.215017 + 0.480890i
\(269\) −1.07766e6 622189.i −0.908035 0.524254i −0.0282364 0.999601i \(-0.508989\pi\)
−0.879798 + 0.475347i \(0.842322\pi\)
\(270\) 64303.5 41687.0i 0.0536816 0.0348010i
\(271\) −1.72594e6 996474.i −1.42759 0.824220i −0.430660 0.902514i \(-0.641719\pi\)
−0.996930 + 0.0782946i \(0.975053\pi\)
\(272\) 527328. + 589391.i 0.432174 + 0.483038i
\(273\) 168561. 0.136883
\(274\) −46351.7 898012.i −0.0372983 0.722613i
\(275\) −1.39325e6 + 804392.i −1.11096 + 0.641411i
\(276\) 750187. 543234.i 0.592784 0.429254i
\(277\) −1.55369e6 −1.21665 −0.608325 0.793688i \(-0.708158\pi\)
−0.608325 + 0.793688i \(0.708158\pi\)
\(278\) 30437.6 1571.06i 0.0236210 0.00121922i
\(279\) 597639. + 1.03514e6i 0.459652 + 0.796140i
\(280\) 24745.3 64009.9i 0.0188624 0.0487924i
\(281\) 233205. 134641.i 0.176186 0.101721i −0.409314 0.912394i \(-0.634232\pi\)
0.585499 + 0.810673i \(0.300898\pi\)
\(282\) 141918. 277987.i 0.106271 0.208162i
\(283\) −1.59542e6 921114.i −1.18415 0.683671i −0.227181 0.973853i \(-0.572951\pi\)
−0.956972 + 0.290182i \(0.906284\pi\)
\(284\) −1.10051e6 + 113911.i −0.809651 + 0.0838050i
\(285\) 29429.4 + 37880.3i 0.0214620 + 0.0276250i
\(286\) 49258.3 + 954323.i 0.0356094 + 0.689891i
\(287\) −180989. + 313482.i −0.129702 + 0.224651i
\(288\) 1.12566e6 + 306389.i 0.799699 + 0.217667i
\(289\) 411688. + 713064.i 0.289950 + 0.502208i
\(290\) −37298.7 + 73060.1i −0.0260435 + 0.0510135i
\(291\) −833566. + 481260.i −0.577042 + 0.333155i
\(292\) −1.05006e6 + 108690.i −0.720707 + 0.0745987i
\(293\) 583511.i 0.397082i −0.980093 0.198541i \(-0.936380\pi\)
0.980093 0.198541i \(-0.0636203\pi\)
\(294\) −317569. + 205875.i −0.214274 + 0.138911i
\(295\) −48538.0 84070.3i −0.0324733 0.0562455i
\(296\) −1.71999e6 + 268245.i −1.14103 + 0.177951i
\(297\) 1.48627e6i 0.977705i
\(298\) −521329. + 337970.i −0.340072 + 0.220464i
\(299\) −730978. + 1.26609e6i −0.472853 + 0.819006i
\(300\) 375597. + 518686.i 0.240946 + 0.332737i
\(301\) 816809. 1.41475e6i 0.519642 0.900046i
\(302\) 1.45216e6 + 741355.i 0.916212 + 0.467745i
\(303\) −220840. −0.138188
\(304\) −289138. + 1.58517e6i −0.179441 + 0.983769i
\(305\) −108090. −0.0665329
\(306\) −783667. 400078.i −0.478440 0.244254i
\(307\) −545780. + 945319.i −0.330500 + 0.572443i −0.982610 0.185681i \(-0.940551\pi\)
0.652110 + 0.758124i \(0.273884\pi\)
\(308\) 780626. + 1.07802e6i 0.468885 + 0.647513i
\(309\) 245417. 425075.i 0.146221 0.253261i
\(310\) 133142. 86314.3i 0.0786887 0.0510127i
\(311\) 2.60982e6i 1.53006i −0.643993 0.765031i \(-0.722724\pi\)
0.643993 0.765031i \(-0.277276\pi\)
\(312\) 375843. 58615.2i 0.218585 0.0340898i
\(313\) −1.25776e6 2.17851e6i −0.725668 1.25689i −0.958698 0.284425i \(-0.908197\pi\)
0.233030 0.972470i \(-0.425136\pi\)
\(314\) 2.14382e6 1.38981e6i 1.22706 0.795482i
\(315\) 76351.8i 0.0433553i
\(316\) 1.67667e6 173548.i 0.944562 0.0977693i
\(317\) 47987.3 27705.5i 0.0268212 0.0154852i −0.486529 0.873664i \(-0.661737\pi\)
0.513351 + 0.858179i \(0.328404\pi\)
\(318\) 386478. 757027.i 0.214317 0.419801i
\(319\) −795468. 1.37779e6i −0.437669 0.758065i
\(320\) 32916.2 151329.i 0.0179694 0.0826128i
\(321\) −474378. + 821647.i −0.256958 + 0.445064i
\(322\) 104963. + 2.03354e6i 0.0564154 + 1.09298i
\(323\) 458329. 1.12556e6i 0.244439 0.600291i
\(324\) −969251. + 100325.i −0.512948 + 0.0530941i
\(325\) −875387. 505405.i −0.459718 0.265418i
\(326\) 967329. 1.89479e6i 0.504116 0.987454i
\(327\) 1.17963e6 681060.i 0.610066 0.352222i
\(328\) −294544. + 761913.i −0.151170 + 0.391040i
\(329\) 343087. + 594245.i 0.174749 + 0.302674i
\(330\) 89296.8 4609.13i 0.0451389 0.00232989i
\(331\) −1.00306e6 −0.503220 −0.251610 0.967829i \(-0.580960\pi\)
−0.251610 + 0.967829i \(0.580960\pi\)
\(332\) 2.98772e6 2.16350e6i 1.48763 1.07724i
\(333\) 1.67727e6 968372.i 0.828881 0.478555i
\(334\) 30003.5 + 581283.i 0.0147165 + 0.285116i
\(335\) −91478.5 −0.0445356
\(336\) 394845. 353268.i 0.190800 0.170709i
\(337\) 1.87694e6 + 1.08365e6i 0.900277 + 0.519775i 0.877290 0.479961i \(-0.159349\pi\)
0.0229868 + 0.999736i \(0.492682\pi\)
\(338\) 1.25860e6 815935.i 0.599235 0.388476i
\(339\) 347858. + 200836.i 0.164400 + 0.0949166i
\(340\) −47677.1 + 106631.i −0.0223672 + 0.0500248i
\(341\) 3.07738e6i 1.43316i
\(342\) −335877. 1.76097e6i −0.155280 0.814116i
\(343\) 2.18021e6i 1.00061i
\(344\) 1.32929e6 3.43854e6i 0.605651 1.56667i
\(345\) 118469. + 68398.2i 0.0535868 + 0.0309383i
\(346\) 445107. + 686591.i 0.199882 + 0.308324i
\(347\) 3.60421e6 + 2.08089e6i 1.60689 + 0.927740i 0.990060 + 0.140645i \(0.0449176\pi\)
0.616832 + 0.787095i \(0.288416\pi\)
\(348\) −512931. + 371430.i −0.227045 + 0.164410i
\(349\) −532904. −0.234199 −0.117100 0.993120i \(-0.537360\pi\)
−0.117100 + 0.993120i \(0.537360\pi\)
\(350\) −1.40601e6 + 72572.5i −0.613506 + 0.0316667i
\(351\) −808725. + 466918.i −0.350375 + 0.202289i
\(352\) 2.11544e6 + 2.13222e6i 0.910007 + 0.917222i
\(353\) −2.54160e6 −1.08560 −0.542801 0.839862i \(-0.682636\pi\)
−0.542801 + 0.839862i \(0.682636\pi\)
\(354\) −38632.0 748452.i −0.0163847 0.317436i
\(355\) −81703.0 141514.i −0.0344086 0.0595975i
\(356\) 603686. + 269922.i 0.252456 + 0.112879i
\(357\) −346060. + 199798.i −0.143708 + 0.0829697i
\(358\) 80614.7 + 41155.5i 0.0332435 + 0.0169715i
\(359\) 13051.4 + 7535.25i 0.00534468 + 0.00308575i 0.502670 0.864478i \(-0.332351\pi\)
−0.497325 + 0.867564i \(0.665684\pi\)
\(360\) 26550.5 + 170243.i 0.0107973 + 0.0692329i
\(361\) 2.38386e6 669518.i 0.962750 0.270392i
\(362\) −4.34281e6 + 224158.i −1.74180 + 0.0899048i
\(363\) −347689. + 602215.i −0.138492 + 0.239875i
\(364\) −341344. + 763424.i −0.135033 + 0.302004i
\(365\) −77957.9 135027.i −0.0306287 0.0530504i
\(366\) −743227. 379433.i −0.290014 0.148058i
\(367\) 3.40212e6 1.96422e6i 1.31851 0.761245i 0.335025 0.942209i \(-0.391255\pi\)
0.983490 + 0.180964i \(0.0579219\pi\)
\(368\) 941182. + 4.49773e6i 0.362288 + 1.73130i
\(369\) 908818.i 0.347465i
\(370\) −139857. 215734.i −0.0531106 0.0819247i
\(371\) 934313. + 1.61828e6i 0.352418 + 0.610406i
\(372\) 1.21848e6 126122.i 0.456521 0.0472534i
\(373\) 503981.i 0.187561i 0.995593 + 0.0937804i \(0.0298952\pi\)
−0.995593 + 0.0937804i \(0.970105\pi\)
\(374\) −1.23230e6 1.90086e6i −0.455552 0.702703i
\(375\) −94922.7 + 164411.i −0.0348572 + 0.0603744i
\(376\) 971631. + 1.20569e6i 0.354431 + 0.439812i
\(377\) 499798. 865675.i 0.181109 0.313691i
\(378\) −591407. + 1.15844e6i −0.212891 + 0.417007i
\(379\) 1.47249e6 0.526570 0.263285 0.964718i \(-0.415194\pi\)
0.263285 + 0.964718i \(0.415194\pi\)
\(380\) −231159. + 56578.3i −0.0821205 + 0.0200998i
\(381\) −541938. −0.191266
\(382\) −328899. + 644243.i −0.115320 + 0.225887i
\(383\) −687208. + 1.19028e6i −0.239382 + 0.414621i −0.960537 0.278152i \(-0.910278\pi\)
0.721155 + 0.692773i \(0.243611\pi\)
\(384\) 757547. 924990.i 0.262169 0.320117i
\(385\) −98288.0 + 170240.i −0.0337947 + 0.0585341i
\(386\) 1.59692e6 + 2.46330e6i 0.545527 + 0.841492i
\(387\) 4.10153e6i 1.39209i
\(388\) −491646. 4.74986e6i −0.165796 1.60177i
\(389\) 1.36232e6 + 2.35960e6i 0.456461 + 0.790614i 0.998771 0.0495645i \(-0.0157833\pi\)
−0.542310 + 0.840179i \(0.682450\pi\)
\(390\) 30560.8 + 47141.0i 0.0101743 + 0.0156941i
\(391\) 3.46576e6i 1.14645i
\(392\) −289331. 1.85520e6i −0.0950999 0.609783i
\(393\) −460406. + 265815.i −0.150369 + 0.0868158i
\(394\) 855974. + 436992.i 0.277792 + 0.141819i
\(395\) 124478. + 215602.i 0.0401421 + 0.0695281i
\(396\) −3.05063e6 1.36400e6i −0.977578 0.437097i
\(397\) −1.07278e6 + 1.85811e6i −0.341613 + 0.591691i −0.984732 0.174075i \(-0.944306\pi\)
0.643120 + 0.765766i \(0.277640\pi\)
\(398\) −4.26894e6 + 220345.i −1.35087 + 0.0697262i
\(399\) −754035. 307044.i −0.237115 0.0965534i
\(400\) −3.10977e6 + 650742.i −0.971803 + 0.203357i
\(401\) −4.41578e6 2.54945e6i −1.37134 0.791746i −0.380247 0.924885i \(-0.624161\pi\)
−0.991097 + 0.133139i \(0.957494\pi\)
\(402\) −629006. 321120.i −0.194129 0.0991066i
\(403\) −1.67449e6 + 966768.i −0.513594 + 0.296524i
\(404\) 447212. 1.00020e6i 0.136320 0.304883i
\(405\) −71958.2 124635.i −0.0217993 0.0377575i
\(406\) −71767.4 1.39041e6i −0.0216079 0.418628i
\(407\) 4.98636e6 1.49210
\(408\) −702138. + 565831.i −0.208820 + 0.168281i
\(409\) 2.41225e6 1.39272e6i 0.713041 0.411675i −0.0991449 0.995073i \(-0.531611\pi\)
0.812186 + 0.583398i \(0.198277\pi\)
\(410\) −120485. + 6218.94i −0.0353975 + 0.00182708i
\(411\) 1.02530e6 0.299395
\(412\) 1.42821e6 + 1.97231e6i 0.414524 + 0.572443i
\(413\) 1.42689e6 + 823812.i 0.411636 + 0.237658i
\(414\) −2.78104e6 4.28983e6i −0.797454 1.23010i
\(415\) 471819. + 272405.i 0.134479 + 0.0776416i
\(416\) −495628. + 1.82092e6i −0.140418 + 0.515890i
\(417\) 34751.8i 0.00978672i
\(418\) 1.51801e6 4.35877e6i 0.424945 1.22018i
\(419\) 3.16759e6i 0.881442i 0.897644 + 0.440721i \(0.145277\pi\)
−0.897644 + 0.440721i \(0.854723\pi\)
\(420\) 71434.2 + 31939.8i 0.0197598 + 0.00883506i
\(421\) −1.37905e6 796194.i −0.379205 0.218934i 0.298267 0.954482i \(-0.403591\pi\)
−0.677472 + 0.735548i \(0.736925\pi\)
\(422\) −1.61475e6 + 1.04682e6i −0.441392 + 0.286148i
\(423\) −1.49197e6 861390.i −0.405424 0.234072i
\(424\) 2.64599e6 + 3.28341e6i 0.714783 + 0.886972i
\(425\) 2.39626e6 0.643518
\(426\) −65028.5 1.25985e6i −0.0173612 0.336353i
\(427\) 1.58878e6 917281.i 0.421690 0.243463i
\(428\) −2.76066e6 3.81237e6i −0.728456 1.00597i
\(429\) −1.08959e6 −0.285838
\(430\) 543752. 28066.3i 0.141818 0.00732005i
\(431\) 1.03442e6 + 1.79167e6i 0.268228 + 0.464585i 0.968404 0.249385i \(-0.0802285\pi\)
−0.700176 + 0.713970i \(0.746895\pi\)
\(432\) −915836. + 2.78865e6i −0.236107 + 0.718926i
\(433\) −4.91868e6 + 2.83980e6i −1.26075 + 0.727893i −0.973219 0.229878i \(-0.926167\pi\)
−0.287529 + 0.957772i \(0.592834\pi\)
\(434\) −1.22453e6 + 2.39858e6i −0.312064 + 0.611267i
\(435\) −81001.9 46766.5i −0.0205245 0.0118498i
\(436\) 695759. + 6.72181e6i 0.175284 + 1.69344i
\(437\) 5.57619e6 4.33217e6i 1.39680 1.08518i
\(438\) −62047.7 1.20210e6i −0.0154540 0.299404i
\(439\) 2.26061e6 3.91550e6i 0.559841 0.969673i −0.437668 0.899137i \(-0.644195\pi\)
0.997509 0.0705367i \(-0.0224712\pi\)
\(440\) −159955. + 413765.i −0.0393883 + 0.101888i
\(441\) 1.04449e6 + 1.80912e6i 0.255746 + 0.442966i
\(442\) 647184. 1.26769e6i 0.157569 0.308645i
\(443\) −2.59792e6 + 1.49991e6i −0.628951 + 0.363125i −0.780346 0.625348i \(-0.784957\pi\)
0.151395 + 0.988473i \(0.451624\pi\)
\(444\) −204359. 1.97433e6i −0.0491967 0.475295i
\(445\) 97666.9i 0.0233802i
\(446\) −3.66642e6 + 2.37688e6i −0.872780 + 0.565810i
\(447\) −354208. 613505.i −0.0838473 0.145228i
\(448\) 800395. + 2.50367e6i 0.188412 + 0.589361i
\(449\) 4.17929e6i 0.978332i −0.872191 0.489166i \(-0.837301\pi\)
0.872191 0.489166i \(-0.162699\pi\)
\(450\) 2.96603e6 1.92283e6i 0.690469 0.447621i
\(451\) 1.16993e6 2.02637e6i 0.270843 0.469113i
\(452\) −1.61403e6 + 1.16877e6i −0.371591 + 0.269081i
\(453\) −929538. + 1.61001e6i −0.212824 + 0.368623i
\(454\) −5.33477e6 2.72351e6i −1.21472 0.620139i
\(455\) −123510. −0.0279688
\(456\) −1.78806e6 422413.i −0.402688 0.0951316i
\(457\) −1.14434e6 −0.256309 −0.128155 0.991754i \(-0.540905\pi\)
−0.128155 + 0.991754i \(0.540905\pi\)
\(458\) 1.47822e6 + 754661.i 0.329287 + 0.168108i
\(459\) 1.10689e6 1.91719e6i 0.245229 0.424750i
\(460\) −549686. + 398045.i −0.121121 + 0.0877078i
\(461\) 3.64825e6 6.31895e6i 0.799525 1.38482i −0.120400 0.992725i \(-0.538418\pi\)
0.919926 0.392093i \(-0.128249\pi\)
\(462\) −1.27343e6 + 825544.i −0.277568 + 0.179943i
\(463\) 4.44320e6i 0.963260i −0.876375 0.481630i \(-0.840045\pi\)
0.876375 0.481630i \(-0.159955\pi\)
\(464\) −643522. 3.07527e6i −0.138761 0.663114i
\(465\) 90461.2 + 156683.i 0.0194013 + 0.0336040i
\(466\) −1.02686e6 + 665701.i −0.219053 + 0.142009i
\(467\) 8.09750e6i 1.71814i 0.511857 + 0.859071i \(0.328958\pi\)
−0.511857 + 0.859071i \(0.671042\pi\)
\(468\) −216170. 2.08844e6i −0.0456226 0.440766i
\(469\) 1.34461e6 776311.i 0.282270 0.162968i
\(470\) −103988. + 203690.i −0.0217139 + 0.0425329i
\(471\) 1.45658e6 + 2.52287e6i 0.302539 + 0.524014i
\(472\) 3.46802e6 + 1.34068e6i 0.716518 + 0.276995i
\(473\) −5.27992e6 + 9.14508e6i −1.08511 + 1.87947i
\(474\) 99073.6 + 1.91944e6i 0.0202541 + 0.392399i
\(475\) 2.99530e6 + 3.85543e6i 0.609126 + 0.784042i
\(476\) −204110. 1.97193e6i −0.0412901 0.398909i
\(477\) −4.06301e6 2.34578e6i −0.817622 0.472054i
\(478\) −2.54201e6 + 4.97925e6i −0.508871 + 0.996769i
\(479\) −956630. + 552311.i −0.190504 + 0.109988i −0.592219 0.805777i \(-0.701748\pi\)
0.401714 + 0.915765i \(0.368415\pi\)
\(480\) 170385. + 46376.3i 0.0337542 + 0.00918741i
\(481\) 1.56648e6 + 2.71322e6i 0.308718 + 0.534716i
\(482\) −3.19639e6 + 164984.i −0.626674 + 0.0323463i
\(483\) −2.32178e6 −0.452849
\(484\) −2.02339e6 2.79422e6i −0.392614 0.542185i
\(485\) 610781. 352635.i 0.117905 0.0680723i
\(486\) −260378. 5.04454e6i −0.0500051 0.968792i
\(487\) −3.31451e6 −0.633282 −0.316641 0.948546i \(-0.602555\pi\)
−0.316641 + 0.948546i \(0.602555\pi\)
\(488\) 3.22355e6 2.59776e6i 0.612752 0.493798i
\(489\) 2.10076e6 + 1.21287e6i 0.397286 + 0.229373i
\(490\) 232693. 150852.i 0.0437818 0.0283831i
\(491\) −2.22093e6 1.28225e6i −0.415748 0.240032i 0.277508 0.960723i \(-0.410491\pi\)
−0.693257 + 0.720691i \(0.743825\pi\)
\(492\) −850284. 380181.i −0.158362 0.0708073i
\(493\) 2.36967e6i 0.439107i
\(494\) 2.84862e6 543329.i 0.525191 0.100172i
\(495\) 493544.i 0.0905342i
\(496\) −1.89627e6 + 5.77398e6i −0.346095 + 1.05383i
\(497\) 2.40185e6 + 1.38671e6i 0.436168 + 0.251822i
\(498\) 2.28799e6 + 3.52930e6i 0.413410 + 0.637698i
\(499\) −6.78524e6 3.91746e6i −1.21987 0.704293i −0.254980 0.966946i \(-0.582069\pi\)
−0.964890 + 0.262654i \(0.915402\pi\)
\(500\) −552406. 762853.i −0.0988174 0.136463i
\(501\) −663675. −0.118130
\(502\) 8.83821e6 456192.i 1.56533 0.0807958i
\(503\) 987481. 570122.i 0.174024 0.100473i −0.410458 0.911880i \(-0.634631\pi\)
0.584482 + 0.811407i \(0.301298\pi\)
\(504\) −1.83498e6 2.27702e6i −0.321777 0.399292i
\(505\) 161816. 0.0282354
\(506\) −678490. 1.31450e7i −0.117806 2.28236i
\(507\) 855136. + 1.48114e6i 0.147746 + 0.255903i
\(508\) 1.09745e6 2.45448e6i 0.188680 0.421988i
\(509\) −8.84124e6 + 5.10449e6i −1.51258 + 0.873289i −0.512689 + 0.858574i \(0.671351\pi\)
−0.999892 + 0.0147145i \(0.995316\pi\)
\(510\) −118619. 60557.5i −0.0201943 0.0103096i
\(511\) 2.29175e6 + 1.32314e6i 0.388253 + 0.224158i
\(512\) 2.65528e6 + 5.30414e6i 0.447646 + 0.894211i
\(513\) 4.46825e6 615554.i 0.749624 0.103270i
\(514\) −9.41689e6 + 486062.i −1.57217 + 0.0811490i
\(515\) −179825. + 311466.i −0.0298767 + 0.0517479i
\(516\) 3.83736e6 + 1.71577e6i 0.634466 + 0.283684i
\(517\) −2.21774e6 3.84124e6i −0.364909 0.632042i
\(518\) 3.88649e6 + 1.98413e6i 0.636405 + 0.324898i
\(519\) −807987. + 466492.i −0.131670 + 0.0760196i
\(520\) −275392. + 42949.3i −0.0446625 + 0.00696543i
\(521\) 3.61575e6i 0.583585i −0.956482 0.291793i \(-0.905748\pi\)
0.956482 0.291793i \(-0.0942517\pi\)
\(522\) 1.90150e6 + 2.93312e6i 0.305436 + 0.471144i
\(523\) −1.05665e6 1.83017e6i −0.168918 0.292575i 0.769121 0.639103i \(-0.220694\pi\)
−0.938040 + 0.346527i \(0.887361\pi\)
\(524\) −271552. 2.62350e6i −0.0432041 0.417400i
\(525\) 1.60530e6i 0.254190i
\(526\) 977698. + 1.50813e6i 0.154078 + 0.237670i
\(527\) 2.29185e6 3.96960e6i 0.359467 0.622616i
\(528\) −2.55231e6 + 2.28355e6i −0.398426 + 0.356472i
\(529\) 6.85042e6 1.18653e7i 1.06433 1.84348i
\(530\) −283185. + 554699.i −0.0437906 + 0.0857763i
\(531\) −4.13670e6 −0.636674
\(532\) 2.91758e6 2.79330e6i 0.446934 0.427896i
\(533\) 1.47014e6 0.224152
\(534\) −342844. + 671557.i −0.0520287 + 0.101913i
\(535\) 347592. 602047.i 0.0525032 0.0909382i
\(536\) 2.72815e6 2.19853e6i 0.410162 0.330537i
\(537\) −51602.2 + 89377.6i −0.00772205 + 0.0133750i
\(538\) 3.82920e6 + 5.90665e6i 0.570364 + 0.879804i
\(539\) 5.37833e6i 0.797399i
\(540\) −431203. + 44632.8i −0.0636352 + 0.00658673i
\(541\) 3.26952e6 + 5.66298e6i 0.480276 + 0.831863i 0.999744 0.0226273i \(-0.00720311\pi\)
−0.519468 + 0.854490i \(0.673870\pi\)
\(542\) 6.13269e6 + 9.45987e6i 0.896712 + 1.38321i
\(543\) 4.95836e6i 0.721670i
\(544\) −1.14082e6 4.32587e6i −0.165280 0.626723i
\(545\) −864354. + 499035.i −0.124652 + 0.0719680i
\(546\) −849254. 433562.i −0.121915 0.0622399i
\(547\) −2.13029e6 3.68977e6i −0.304418 0.527268i 0.672714 0.739903i \(-0.265129\pi\)
−0.977132 + 0.212635i \(0.931795\pi\)
\(548\) −2.07628e6 + 4.64364e6i −0.295348 + 0.660553i
\(549\) −2.30302e6 + 3.98895e6i −0.326112 + 0.564842i
\(550\) 9.08856e6 469115.i 1.28112 0.0661260i
\(551\) −3.81266e6 + 2.96207e6i −0.534994 + 0.415639i
\(552\) −5.17691e6 + 807375.i −0.723141 + 0.112779i
\(553\) −3.65931e6 2.11271e6i −0.508846 0.293783i
\(554\) 7.82791e6 + 3.99631e6i 1.08361 + 0.553203i
\(555\) 253878. 146577.i 0.0349859 0.0201991i
\(556\) −157393. 70374.2i −0.0215923 0.00965442i
\(557\) 3.73736e6 + 6.47330e6i 0.510420 + 0.884073i 0.999927 + 0.0120736i \(0.00384325\pi\)
−0.489507 + 0.871999i \(0.662823\pi\)
\(558\) −348538. 6.75253e6i −0.0473876 0.918081i
\(559\) −6.63481e6 −0.898047
\(560\) −289316. + 258851.i −0.0389854 + 0.0348802i
\(561\) 2.23696e6 1.29151e6i 0.300089 0.173257i
\(562\) −1.52126e6 + 78521.3i −0.203172 + 0.0104869i
\(563\) 7.67531e6 1.02053 0.510264 0.860018i \(-0.329548\pi\)
0.510264 + 0.860018i \(0.329548\pi\)
\(564\) −1.43004e6 + 1.03554e6i −0.189300 + 0.137078i
\(565\) −254887. 147159.i −0.0335913 0.0193939i
\(566\) 5.66889e6 + 8.74444e6i 0.743802 + 1.14734i
\(567\) 2.11538e6 + 1.22131e6i 0.276331 + 0.159540i
\(568\) 5.83765e6 + 2.25675e6i 0.759219 + 0.293503i
\(569\) 8.23218e6i 1.06594i 0.846133 + 0.532972i \(0.178925\pi\)
−0.846133 + 0.532972i \(0.821075\pi\)
\(570\) −50839.7 266548.i −0.00655414 0.0343627i
\(571\) 7.15961e6i 0.918966i −0.888187 0.459483i \(-0.848035\pi\)
0.888187 0.459483i \(-0.151965\pi\)
\(572\) 2.20647e6 4.93483e6i 0.281974 0.630641i
\(573\) −714273. 412386.i −0.0908820 0.0524708i
\(574\) 1.71819e6 1.11388e6i 0.217666 0.141110i
\(575\) 1.20577e7 + 6.96152e6i 1.52088 + 0.878081i
\(576\) −4.88330e6 4.43902e6i −0.613278 0.557482i
\(577\) −3.11046e6 −0.388943 −0.194471 0.980908i \(-0.562299\pi\)
−0.194471 + 0.980908i \(0.562299\pi\)
\(578\) −240093. 4.65152e6i −0.0298923 0.579129i
\(579\) −2.89884e6 + 1.67365e6i −0.359359 + 0.207476i
\(580\) 375842. 272159.i 0.0463911 0.0335933i
\(581\) −9.24680e6 −1.13645
\(582\) 5.43759e6 280666.i 0.665425 0.0343465i
\(583\) −6.03947e6 1.04607e7i −0.735915 1.27464i
\(584\) 5.57007e6 + 2.15330e6i 0.675816 + 0.261260i
\(585\) 268552. 155048.i 0.0324443 0.0187317i
\(586\) −1.50087e6 + 2.93988e6i −0.180551 + 0.353660i
\(587\) −2.18549e6 1.26179e6i −0.261790 0.151145i 0.363361 0.931649i \(-0.381629\pi\)
−0.625151 + 0.780504i \(0.714963\pi\)
\(588\) 2.12954e6 220423.i 0.254005 0.0262914i
\(589\) 9.25164e6 1.27452e6i 1.09883 0.151377i
\(590\) 28306.9 + 548415.i 0.00334783 + 0.0648603i
\(591\) −547917. + 949019.i −0.0645276 + 0.111765i
\(592\) 9.35574e6 + 3.07257e6i 1.09717 + 0.360328i
\(593\) −6.77665e6 1.17375e7i −0.791368 1.37069i −0.925120 0.379674i \(-0.876036\pi\)
0.133752 0.991015i \(-0.457297\pi\)
\(594\) 3.82290e6 7.48824e6i 0.444556 0.870790i
\(595\) 253569. 146398.i 0.0293632 0.0169529i
\(596\) 3.49590e6 361852.i 0.403128 0.0417268i
\(597\) 4.87402e6i 0.559695i
\(598\) 6.93942e6 4.49872e6i 0.793543 0.514442i
\(599\) −2.93201e6 5.07839e6i −0.333886 0.578308i 0.649384 0.760461i \(-0.275027\pi\)
−0.983270 + 0.182153i \(0.941693\pi\)
\(600\) −558226. 3.57937e6i −0.0633042 0.405908i
\(601\) 1.36194e7i 1.53805i 0.639217 + 0.769027i \(0.279259\pi\)
−0.639217 + 0.769027i \(0.720741\pi\)
\(602\) −7.75424e6 + 5.02696e6i −0.872064 + 0.565346i
\(603\) −1.94908e6 + 3.37591e6i −0.218292 + 0.378092i
\(604\) −5.40948e6 7.47029e6i −0.603341 0.833192i
\(605\) 254763. 441262.i 0.0282975 0.0490127i
\(606\) 1.11265e6 + 568030.i 0.123077 + 0.0628333i
\(607\) −1.49276e7 −1.64444 −0.822219 0.569171i \(-0.807264\pi\)
−0.822219 + 0.569171i \(0.807264\pi\)
\(608\) 5.53404e6 7.24282e6i 0.607132 0.794601i
\(609\) 1.58749e6 0.173447
\(610\) 544586. + 278023.i 0.0592574 + 0.0302521i
\(611\) 1.39342e6 2.41348e6i 0.151001 0.261541i
\(612\) 2.91926e6 + 4.03140e6i 0.315061 + 0.435088i
\(613\) 6.65853e6 1.15329e7i 0.715694 1.23962i −0.246997 0.969016i \(-0.579444\pi\)
0.962691 0.270602i \(-0.0872229\pi\)
\(614\) 5.18127e6 3.35894e6i 0.554646 0.359569i
\(615\) 137563.i 0.0146660i
\(616\) −1.16019e6 7.43921e6i −0.123191 0.789905i
\(617\) 1.75245e6 + 3.03533e6i 0.185324 + 0.320991i 0.943686 0.330843i \(-0.107333\pi\)
−0.758362 + 0.651834i \(0.774000\pi\)
\(618\) −2.32983e6 + 1.51039e6i −0.245388 + 0.159081i
\(619\) 3.31533e6i 0.347777i 0.984765 + 0.173888i \(0.0556332\pi\)
−0.984765 + 0.173888i \(0.944367\pi\)
\(620\) −892819. + 92413.6i −0.0932791 + 0.00965510i
\(621\) 1.11395e7 6.43139e6i 1.15914 0.669231i
\(622\) −6.71281e6 + 1.31489e7i −0.695710 + 1.36275i
\(623\) −828827. 1.43557e6i −0.0855547 0.148185i
\(624\) −2.04436e6 671401.i −0.210182 0.0690272i
\(625\) −4.77836e6 + 8.27636e6i −0.489304 + 0.847499i
\(626\) 733517. + 1.42111e7i 0.0748125 + 1.44941i
\(627\) 4.87414e6 + 1.98475e6i 0.495141 + 0.201622i
\(628\) −1.43759e7 + 1.48802e6i −1.45458 + 0.150560i
\(629\) −6.43205e6 3.71354e6i −0.648220 0.374250i
\(630\) 196387. 384680.i 0.0197134 0.0386143i
\(631\) 1.15017e7 6.64053e6i 1.14998 0.663941i 0.201097 0.979571i \(-0.435549\pi\)
0.948882 + 0.315630i \(0.102216\pi\)
\(632\) −8.89391e6 3.43825e6i −0.885727 0.342409i
\(633\) −1.09711e6 1.90026e6i −0.108828 0.188496i
\(634\) −313035. + 16157.6i −0.0309293 + 0.00159644i
\(635\) 397096. 0.0390806
\(636\) −3.89436e6 + 2.82003e6i −0.381762 + 0.276446i
\(637\) −2.92651e6 + 1.68962e6i −0.285760 + 0.164983i
\(638\) 463910. + 8.98773e6i 0.0451213 + 0.874174i
\(639\) −6.96321e6 −0.674617
\(640\) −555079. + 677771.i −0.0535680 + 0.0654083i
\(641\) −8.09093e6 4.67130e6i −0.777774 0.449048i 0.0578671 0.998324i \(-0.481570\pi\)
−0.835641 + 0.549276i \(0.814903\pi\)
\(642\) 4.50343e6 2.91951e6i 0.431227 0.279558i
\(643\) −5.67735e6 3.27782e6i −0.541525 0.312649i 0.204172 0.978935i \(-0.434550\pi\)
−0.745697 + 0.666286i \(0.767883\pi\)
\(644\) 4.70172e6 1.05155e7i 0.446727 0.999115i
\(645\) 620824.i 0.0587583i
\(646\) −5.20427e6 + 4.49198e6i −0.490658 + 0.423503i
\(647\) 1.23522e7i 1.16007i 0.814590 + 0.580036i \(0.196962\pi\)
−0.814590 + 0.580036i \(0.803038\pi\)
\(648\) 5.14139e6 + 1.98758e6i 0.480998 + 0.185946i
\(649\) −9.22349e6 5.32519e6i −0.859575 0.496276i
\(650\) 3.11046e6 + 4.79798e6i 0.288763 + 0.445425i
\(651\) −2.65931e6 1.53536e6i −0.245933 0.141990i
\(652\) −9.74732e6 + 7.05835e6i −0.897979 + 0.650255i
\(653\) 1.97489e7 1.81242 0.906211 0.422826i \(-0.138962\pi\)
0.906211 + 0.422826i \(0.138962\pi\)
\(654\) −7.69507e6 + 397188.i −0.703507 + 0.0363122i
\(655\) 337354. 194772.i 0.0307244 0.0177387i
\(656\) 3.44374e6 3.08111e6i 0.312443 0.279543i
\(657\) −6.64404e6 −0.600508
\(658\) −200086. 3.87643e6i −0.0180157 0.349034i
\(659\) −1.34604e6 2.33142e6i −0.120738 0.209125i 0.799321 0.600905i \(-0.205193\pi\)
−0.920059 + 0.391780i \(0.871860\pi\)
\(660\) −461756. 206462.i −0.0412622 0.0184493i
\(661\) 197671. 114125.i 0.0175970 0.0101596i −0.491176 0.871061i \(-0.663433\pi\)
0.508773 + 0.860901i \(0.330099\pi\)
\(662\) 5.05370e6 + 2.58002e6i 0.448192 + 0.228811i
\(663\) 1.40549e6 + 811462.i 0.124178 + 0.0716943i
\(664\) −2.06177e7 + 3.21548e6i −1.81477 + 0.283025i
\(665\) 552506. + 224981.i 0.0484488 + 0.0197284i
\(666\) −1.09413e7 + 564746.i −0.955837 + 0.0493364i
\(667\) −6.88428e6 + 1.19239e7i −0.599162 + 1.03778i
\(668\) 1.34397e6 3.00583e6i 0.116533 0.260629i
\(669\) −2.49108e6 4.31468e6i −0.215190 0.372720i
\(670\) 460893. + 235295.i 0.0396655 + 0.0202501i
\(671\) −1.02700e7 + 5.92938e6i −0.880569 + 0.508397i
\(672\) −2.89799e6 + 764261.i −0.247556 + 0.0652858i
\(673\) 1.21904e7i 1.03748i 0.854933 + 0.518739i \(0.173598\pi\)
−0.854933 + 0.518739i \(0.826402\pi\)
\(674\) −6.66922e6 1.02875e7i −0.565491 0.872287i
\(675\) 4.44672e6 + 7.70195e6i 0.375648 + 0.650641i
\(676\) −8.43988e6 + 873592.i −0.710345 + 0.0735261i
\(677\) 1.90898e7i 1.60077i 0.599487 + 0.800384i \(0.295371\pi\)
−0.599487 + 0.800384i \(0.704629\pi\)
\(678\) −1.23602e6 1.90660e6i −0.103265 0.159289i
\(679\) −5.98510e6 + 1.03665e7i −0.498192 + 0.862894i
\(680\) 514479. 414603.i 0.0426673 0.0343843i
\(681\) 3.41483e6 5.91467e6i 0.282164 0.488723i
\(682\) 7.91544e6 1.55046e7i 0.651649 1.27644i
\(683\) 1.36098e7 1.11635 0.558175 0.829723i \(-0.311502\pi\)
0.558175 + 0.829723i \(0.311502\pi\)
\(684\) −2.83722e6 + 9.73614e6i −0.231874 + 0.795695i
\(685\) −751268. −0.0611742
\(686\) −5.60780e6 + 1.09845e7i −0.454970 + 0.891188i
\(687\) −946221. + 1.63890e6i −0.0764893 + 0.132483i
\(688\) −1.55417e7 + 1.39052e7i −1.25178 + 1.11997i
\(689\) 3.79464e6 6.57251e6i 0.304525 0.527452i
\(690\) −420949. 649327.i −0.0336594 0.0519207i
\(691\) 58793.7i 0.00468420i 0.999997 + 0.00234210i \(0.000745514\pi\)
−0.999997 + 0.00234210i \(0.999254\pi\)
\(692\) −476560. 4.60410e6i −0.0378314 0.365494i
\(693\) 4.18834e6 + 7.25442e6i 0.331290 + 0.573812i
\(694\) −1.28066e7 1.97546e7i −1.00934 1.55693i
\(695\) 25463.8i 0.00199968i
\(696\) 3.53965e6 552033.i 0.276973 0.0431958i
\(697\) −3.01824e6 + 1.74258e6i −0.235327 + 0.135866i
\(698\) 2.68491e6 + 1.37070e6i 0.208589 + 0.106489i
\(699\) −697684. 1.20842e6i −0.0540090 0.0935463i
\(700\) 7.27052e6 + 3.25081e6i 0.560816 + 0.250753i
\(701\) −7.06539e6 + 1.22376e7i −0.543052 + 0.940593i 0.455675 + 0.890146i \(0.349398\pi\)
−0.998727 + 0.0504470i \(0.983935\pi\)
\(702\) 5.27555e6 272302.i 0.404040 0.0208549i
\(703\) −2.06515e6 1.49907e7i −0.157602 1.14402i
\(704\) −5.17381e6 1.61839e7i −0.393441 1.23070i
\(705\) −225831. 130384.i −0.0171124 0.00987985i
\(706\) 1.28052e7 + 6.53734e6i 0.966888 + 0.493616i
\(707\) −2.37848e6 + 1.37322e6i −0.178958 + 0.103321i
\(708\) −1.73048e6 + 3.87026e6i −0.129743 + 0.290173i
\(709\) 309139. + 535445.i 0.0230961 + 0.0400036i 0.877342 0.479865i \(-0.159314\pi\)
−0.854246 + 0.519868i \(0.825981\pi\)
\(710\) 47648.5 + 923135.i 0.00354734 + 0.0687257i
\(711\) 1.06087e7 0.787028
\(712\) −2.34725e6 2.91270e6i −0.173524 0.215326i
\(713\) 2.30647e7 1.33164e7i 1.69912 0.980986i
\(714\) 2.25745e6 116520.i 0.165719 0.00855373i
\(715\) 798378. 0.0584041
\(716\) −300301. 414704.i −0.0218914 0.0302312i
\(717\) −5.52051e6 3.18727e6i −0.401034 0.231537i
\(718\) −46374.9 71534.6i −0.00335716 0.00517852i
\(719\) 1.51633e7 + 8.75451e6i 1.09388 + 0.631553i 0.934607 0.355682i \(-0.115751\pi\)
0.159274 + 0.987234i \(0.449085\pi\)
\(720\) 304119. 926020.i 0.0218632 0.0665716i
\(721\) 6.10417e6i 0.437309i
\(722\) −1.37326e7 2.75842e6i −0.980417 0.196932i
\(723\) 3.64944e6i 0.259646i
\(724\) 2.24568e7 + 1.00409e7i 1.59221 + 0.711914i
\(725\) −8.24431e6 4.75986e6i −0.582518 0.336317i
\(726\) 3.30073e6 2.13981e6i 0.232417 0.150673i
\(727\) 1.34038e7 + 7.73871e6i 0.940575 + 0.543041i 0.890141 0.455686i \(-0.150606\pi\)
0.0504345 + 0.998727i \(0.483939\pi\)
\(728\) 3.68341e6 2.96835e6i 0.257586 0.207580i
\(729\) −1.64001e6 −0.114295
\(730\) 45464.4 + 880821.i 0.00315765 + 0.0611759i
\(731\) 1.36214e7 7.86434e6i 0.942821 0.544338i
\(732\) 2.76862e6 + 3.82336e6i 0.190979 + 0.263735i
\(733\) −6.11584e6 −0.420432 −0.210216 0.977655i \(-0.567417\pi\)
−0.210216 + 0.977655i \(0.567417\pi\)
\(734\) −2.21930e7 + 1.14551e6i −1.52047 + 0.0784802i
\(735\) 158099. + 273836.i 0.0107947 + 0.0186970i
\(736\) 6.82685e6 2.50816e7i 0.464543 1.70671i
\(737\) −8.69166e6 + 5.01813e6i −0.589432 + 0.340309i
\(738\) −2.33761e6 + 4.57887e6i −0.157990 + 0.309469i
\(739\) −5.10211e6 2.94571e6i −0.343668 0.198417i 0.318225 0.948015i \(-0.396913\pi\)
−0.661893 + 0.749598i \(0.730247\pi\)
\(740\) 149740. + 1.44666e6i 0.0100522 + 0.0971151i
\(741\) 451264. + 3.27568e6i 0.0301915 + 0.219157i
\(742\) −544883. 1.05565e7i −0.0363324 0.703899i
\(743\) 6.86847e6 1.18965e7i 0.456444 0.790585i −0.542326 0.840168i \(-0.682456\pi\)
0.998770 + 0.0495836i \(0.0157894\pi\)
\(744\) −6.46342e6 2.49866e6i −0.428085 0.165491i
\(745\) 259539. + 449535.i 0.0171322 + 0.0296738i
\(746\) 1.29631e6 2.53919e6i 0.0852828 0.167051i
\(747\) 2.01056e7 1.16080e7i 1.31830 0.761123i
\(748\) 1.31938e6 + 1.27467e7i 0.0862216 + 0.832998i
\(749\) 1.17990e7i 0.768497i
\(750\) 901134. 584192.i 0.0584973 0.0379230i
\(751\) 9.13855e6 + 1.58284e7i 0.591259 + 1.02409i 0.994063 + 0.108804i \(0.0347021\pi\)
−0.402805 + 0.915286i \(0.631965\pi\)
\(752\) −1.79412e6 8.57377e6i −0.115693 0.552875i
\(753\) 1.00909e7i 0.648551i
\(754\) −4.74475e6 + 3.07595e6i −0.303938 + 0.197038i
\(755\) 681103. 1.17970e6i 0.0434856 0.0753192i
\(756\) 5.95933e6 4.31534e6i 0.379222 0.274606i
\(757\) 8.18032e6 1.41687e7i 0.518837 0.898652i −0.480924 0.876762i \(-0.659699\pi\)
0.999760 0.0218891i \(-0.00696807\pi\)
\(758\) −7.41882e6 3.78746e6i −0.468988 0.239428i
\(759\) 1.50082e7 0.945634
\(760\) 1.31017e6 + 309515.i 0.0822796 + 0.0194379i
\(761\) 2.84297e7 1.77955 0.889777 0.456396i \(-0.150860\pi\)
0.889777 + 0.456396i \(0.150860\pi\)
\(762\) 2.73043e6 + 1.39394e6i 0.170351 + 0.0869674i
\(763\) 8.46988e6 1.46703e7i 0.526703 0.912277i
\(764\) 3.31417e6 2.39989e6i 0.205419 0.148751i
\(765\) −367562. + 636636.i −0.0227079 + 0.0393313i
\(766\) 6.52390e6 4.22935e6i 0.401731 0.260436i
\(767\) 6.69170e6i 0.410722i
\(768\) −6.19593e6 + 2.71183e6i −0.379056 + 0.165905i
\(769\) −3.38099e6