Properties

Label 80.6.l.a.21.15
Level 80
Weight 6
Character 80.21
Analytic conductor 12.831
Analytic rank 0
Dimension 80
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 80 = 2^{4} \cdot 5 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 80.l (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.8307055850\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 21.15
Character \(\chi\) \(=\) 80.21
Dual form 80.6.l.a.61.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.38570 - 5.12917i) q^{2} +(2.82595 - 2.82595i) q^{3} +(-20.6168 + 24.4734i) q^{4} +(17.6777 + 17.6777i) q^{5} +(-21.2367 - 7.75292i) q^{6} -197.416i q^{7} +(174.714 + 47.3612i) q^{8} +227.028i q^{9} +O(q^{10})\) \(q+(-2.38570 - 5.12917i) q^{2} +(2.82595 - 2.82595i) q^{3} +(-20.6168 + 24.4734i) q^{4} +(17.6777 + 17.6777i) q^{5} +(-21.2367 - 7.75292i) q^{6} -197.416i q^{7} +(174.714 + 47.3612i) q^{8} +227.028i q^{9} +(48.4982 - 132.846i) q^{10} +(-541.655 - 541.655i) q^{11} +(10.8984 + 127.423i) q^{12} +(-657.010 + 657.010i) q^{13} +(-1012.58 + 470.975i) q^{14} +99.9125 q^{15} +(-173.892 - 1009.13i) q^{16} +152.646 q^{17} +(1164.47 - 541.621i) q^{18} +(-428.008 + 428.008i) q^{19} +(-797.090 + 68.1744i) q^{20} +(-557.887 - 557.887i) q^{21} +(-1486.01 + 4070.47i) q^{22} +2103.77i q^{23} +(627.574 - 359.893i) q^{24} +625.000i q^{25} +(4937.35 + 1802.49i) q^{26} +(1328.28 + 1328.28i) q^{27} +(4831.42 + 4070.09i) q^{28} +(-1313.03 + 1313.03i) q^{29} +(-238.362 - 512.469i) q^{30} -8014.55 q^{31} +(-4761.13 + 3299.40i) q^{32} -3061.38 q^{33} +(-364.167 - 782.947i) q^{34} +(3489.85 - 3489.85i) q^{35} +(-5556.14 - 4680.60i) q^{36} +(-4174.18 - 4174.18i) q^{37} +(3216.43 + 1174.23i) q^{38} +3713.36i q^{39} +(2251.30 + 3925.77i) q^{40} +6836.92i q^{41} +(-1530.55 + 4192.45i) q^{42} +(367.257 + 367.257i) q^{43} +(24423.3 - 2088.91i) q^{44} +(-4013.33 + 4013.33i) q^{45} +(10790.6 - 5018.97i) q^{46} -6123.69 q^{47} +(-3343.16 - 2360.34i) q^{48} -22165.9 q^{49} +(3205.73 - 1491.06i) q^{50} +(431.370 - 431.370i) q^{51} +(-2533.78 - 29624.7i) q^{52} +(-8837.44 - 8837.44i) q^{53} +(3644.09 - 9981.84i) q^{54} -19150.4i q^{55} +(9349.83 - 34491.2i) q^{56} +2419.06i q^{57} +(9867.26 + 3602.26i) q^{58} +(-23628.5 - 23628.5i) q^{59} +(-2059.88 + 2445.20i) q^{60} +(34685.8 - 34685.8i) q^{61} +(19120.3 + 41108.0i) q^{62} +44818.9 q^{63} +(28281.8 + 16549.3i) q^{64} -23228.8 q^{65} +(7303.55 + 15702.4i) q^{66} +(-12889.4 + 12889.4i) q^{67} +(-3147.07 + 3735.76i) q^{68} +(5945.16 + 5945.16i) q^{69} +(-26225.8 - 9574.29i) q^{70} -56725.7i q^{71} +(-10752.3 + 39664.9i) q^{72} -41485.9i q^{73} +(-11451.7 + 31368.5i) q^{74} +(1766.22 + 1766.22i) q^{75} +(-1650.63 - 19299.0i) q^{76} +(-106931. + 106931. i) q^{77} +(19046.5 - 8858.97i) q^{78} +106416. q^{79} +(14765.0 - 20913.0i) q^{80} -47660.5 q^{81} +(35067.7 - 16310.9i) q^{82} +(-49167.0 + 49167.0i) q^{83} +(25155.3 - 2151.51i) q^{84} +(2698.42 + 2698.42i) q^{85} +(1007.56 - 2759.89i) q^{86} +7421.13i q^{87} +(-68981.2 - 120288. i) q^{88} +62632.3i q^{89} +(30159.6 + 11010.4i) q^{90} +(129704. + 129704. i) q^{91} +(-51486.4 - 43373.1i) q^{92} +(-22648.8 + 22648.8i) q^{93} +(14609.3 + 31409.4i) q^{94} -15132.4 q^{95} +(-4130.80 + 22778.7i) q^{96} +27802.9 q^{97} +(52881.3 + 113693. i) q^{98} +(122971. - 122971. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 44q^{4} - 228q^{6} + O(q^{10}) \) \( 80q + 44q^{4} - 228q^{6} - 100q^{10} + 1208q^{11} + 1572q^{12} - 916q^{14} - 1800q^{15} + 2960q^{16} + 6400q^{18} + 2360q^{19} - 3800q^{20} - 3260q^{22} - 13880q^{24} - 880q^{26} - 7464q^{27} + 18764q^{28} - 8144q^{29} + 22400q^{32} - 7440q^{34} + 27948q^{36} + 21296q^{37} - 34820q^{38} - 7260q^{42} + 32072q^{43} + 64392q^{44} + 149268q^{46} - 88360q^{47} + 94040q^{48} - 192080q^{49} + 2500q^{50} - 5920q^{51} - 55016q^{52} - 49456q^{53} - 250784q^{54} - 250352q^{56} - 115988q^{58} + 44984q^{59} + 7700q^{60} + 48080q^{61} + 444328q^{62} + 158760q^{63} + 218096q^{64} + 253440q^{66} + 61160q^{67} - 119792q^{68} - 22320q^{69} - 66200q^{70} - 629480q^{72} - 156664q^{74} + 223232q^{76} - 14896q^{77} + 516176q^{78} + 177680q^{79} + 48400q^{80} - 524880q^{81} + 254476q^{82} - 329240q^{83} - 173248q^{84} + 132400q^{85} - 765740q^{86} - 390400q^{88} + 71100q^{90} + 364832q^{91} + 333532q^{92} - 362352q^{93} + 537844q^{94} + 288800q^{95} + 1151112q^{96} + 52420q^{98} + 659000q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).

\(n\) \(17\) \(21\) \(31\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{4}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.38570 5.12917i −0.421737 0.906718i
\(3\) 2.82595 2.82595i 0.181285 0.181285i −0.610631 0.791916i \(-0.709084\pi\)
0.791916 + 0.610631i \(0.209084\pi\)
\(4\) −20.6168 + 24.4734i −0.644276 + 0.764793i
\(5\) 17.6777 + 17.6777i 0.316228 + 0.316228i
\(6\) −21.2367 7.75292i −0.240829 0.0879199i
\(7\) 197.416i 1.52278i −0.648296 0.761389i \(-0.724518\pi\)
0.648296 0.761389i \(-0.275482\pi\)
\(8\) 174.714 + 47.3612i 0.965167 + 0.261636i
\(9\) 227.028i 0.934272i
\(10\) 48.4982 132.846i 0.153365 0.420094i
\(11\) −541.655 541.655i −1.34971 1.34971i −0.885972 0.463739i \(-0.846507\pi\)
−0.463739 0.885972i \(-0.653493\pi\)
\(12\) 10.8984 + 127.423i 0.0218478 + 0.255443i
\(13\) −657.010 + 657.010i −1.07824 + 1.07824i −0.0815680 + 0.996668i \(0.525993\pi\)
−0.996668 + 0.0815680i \(0.974007\pi\)
\(14\) −1012.58 + 470.975i −1.38073 + 0.642211i
\(15\) 99.9125 0.114655
\(16\) −173.892 1009.13i −0.169816 0.985476i
\(17\) 152.646 0.128104 0.0640520 0.997947i \(-0.479598\pi\)
0.0640520 + 0.997947i \(0.479598\pi\)
\(18\) 1164.47 541.621i 0.847121 0.394017i
\(19\) −428.008 + 428.008i −0.272000 + 0.272000i −0.829905 0.557905i \(-0.811605\pi\)
0.557905 + 0.829905i \(0.311605\pi\)
\(20\) −797.090 + 68.1744i −0.445587 + 0.0381107i
\(21\) −557.887 557.887i −0.276057 0.276057i
\(22\) −1486.01 + 4070.47i −0.654585 + 1.79303i
\(23\) 2103.77i 0.829237i 0.909995 + 0.414619i \(0.136085\pi\)
−0.909995 + 0.414619i \(0.863915\pi\)
\(24\) 627.574 359.893i 0.222401 0.127540i
\(25\) 625.000i 0.200000i
\(26\) 4937.35 + 1802.49i 1.43239 + 0.522925i
\(27\) 1328.28 + 1328.28i 0.350654 + 0.350654i
\(28\) 4831.42 + 4070.09i 1.16461 + 0.981089i
\(29\) −1313.03 + 1313.03i −0.289921 + 0.289921i −0.837049 0.547128i \(-0.815721\pi\)
0.547128 + 0.837049i \(0.315721\pi\)
\(30\) −238.362 512.469i −0.0483541 0.103960i
\(31\) −8014.55 −1.49787 −0.748937 0.662642i \(-0.769435\pi\)
−0.748937 + 0.662642i \(0.769435\pi\)
\(32\) −4761.13 + 3299.40i −0.821931 + 0.569587i
\(33\) −3061.38 −0.489365
\(34\) −364.167 782.947i −0.0540261 0.116154i
\(35\) 3489.85 3489.85i 0.481544 0.481544i
\(36\) −5556.14 4680.60i −0.714524 0.601929i
\(37\) −4174.18 4174.18i −0.501265 0.501265i 0.410566 0.911831i \(-0.365331\pi\)
−0.911831 + 0.410566i \(0.865331\pi\)
\(38\) 3216.43 + 1174.23i 0.361339 + 0.131915i
\(39\) 3713.36i 0.390936i
\(40\) 2251.30 + 3925.77i 0.222476 + 0.387949i
\(41\) 6836.92i 0.635186i 0.948227 + 0.317593i \(0.102874\pi\)
−0.948227 + 0.317593i \(0.897126\pi\)
\(42\) −1530.55 + 4192.45i −0.133882 + 0.366729i
\(43\) 367.257 + 367.257i 0.0302900 + 0.0302900i 0.722090 0.691800i \(-0.243182\pi\)
−0.691800 + 0.722090i \(0.743182\pi\)
\(44\) 24423.3 2088.91i 1.90184 0.162662i
\(45\) −4013.33 + 4013.33i −0.295443 + 0.295443i
\(46\) 10790.6 5018.97i 0.751885 0.349720i
\(47\) −6123.69 −0.404360 −0.202180 0.979348i \(-0.564803\pi\)
−0.202180 + 0.979348i \(0.564803\pi\)
\(48\) −3343.16 2360.34i −0.209437 0.147867i
\(49\) −22165.9 −1.31885
\(50\) 3205.73 1491.06i 0.181344 0.0843473i
\(51\) 431.370 431.370i 0.0232233 0.0232233i
\(52\) −2533.78 29624.7i −0.129945 1.51931i
\(53\) −8837.44 8837.44i −0.432152 0.432152i 0.457208 0.889360i \(-0.348850\pi\)
−0.889360 + 0.457208i \(0.848850\pi\)
\(54\) 3644.09 9981.84i 0.170061 0.465829i
\(55\) 19150.4i 0.853632i
\(56\) 9349.83 34491.2i 0.398413 1.46973i
\(57\) 2419.06i 0.0986189i
\(58\) 9867.26 + 3602.26i 0.385147 + 0.140606i
\(59\) −23628.5 23628.5i −0.883704 0.883704i 0.110205 0.993909i \(-0.464849\pi\)
−0.993909 + 0.110205i \(0.964849\pi\)
\(60\) −2059.88 + 2445.20i −0.0738693 + 0.0876871i
\(61\) 34685.8 34685.8i 1.19351 1.19351i 0.217437 0.976074i \(-0.430230\pi\)
0.976074 0.217437i \(-0.0697698\pi\)
\(62\) 19120.3 + 41108.0i 0.631708 + 1.35815i
\(63\) 44818.9 1.42269
\(64\) 28281.8 + 16549.3i 0.863093 + 0.505045i
\(65\) −23228.8 −0.681936
\(66\) 7303.55 + 15702.4i 0.206383 + 0.443716i
\(67\) −12889.4 + 12889.4i −0.350790 + 0.350790i −0.860403 0.509613i \(-0.829788\pi\)
0.509613 + 0.860403i \(0.329788\pi\)
\(68\) −3147.07 + 3735.76i −0.0825343 + 0.0979730i
\(69\) 5945.16 + 5945.16i 0.150328 + 0.150328i
\(70\) −26225.8 9574.29i −0.639710 0.233540i
\(71\) 56725.7i 1.33547i −0.744399 0.667735i \(-0.767264\pi\)
0.744399 0.667735i \(-0.232736\pi\)
\(72\) −10752.3 + 39664.9i −0.244439 + 0.901728i
\(73\) 41485.9i 0.911158i −0.890195 0.455579i \(-0.849432\pi\)
0.890195 0.455579i \(-0.150568\pi\)
\(74\) −11451.7 + 31368.5i −0.243104 + 0.665907i
\(75\) 1766.22 + 1766.22i 0.0362570 + 0.0362570i
\(76\) −1650.63 19299.0i −0.0327804 0.383266i
\(77\) −106931. + 106931.i −2.05531 + 2.05531i
\(78\) 19046.5 8858.97i 0.354469 0.164872i
\(79\) 106416. 1.91839 0.959196 0.282743i \(-0.0912444\pi\)
0.959196 + 0.282743i \(0.0912444\pi\)
\(80\) 14765.0 20913.0i 0.257934 0.365335i
\(81\) −47660.5 −0.807135
\(82\) 35067.7 16310.9i 0.575934 0.267881i
\(83\) −49167.0 + 49167.0i −0.783390 + 0.783390i −0.980401 0.197011i \(-0.936876\pi\)
0.197011 + 0.980401i \(0.436876\pi\)
\(84\) 25155.3 2151.51i 0.388983 0.0332694i
\(85\) 2698.42 + 2698.42i 0.0405100 + 0.0405100i
\(86\) 1007.56 2759.89i 0.0146901 0.0402389i
\(87\) 7421.13i 0.105117i
\(88\) −68981.2 120288.i −0.949563 1.65583i
\(89\) 62632.3i 0.838154i 0.907951 + 0.419077i \(0.137646\pi\)
−0.907951 + 0.419077i \(0.862354\pi\)
\(90\) 30159.6 + 11010.4i 0.392482 + 0.143284i
\(91\) 129704. + 129704.i 1.64191 + 1.64191i
\(92\) −51486.4 43373.1i −0.634195 0.534258i
\(93\) −22648.8 + 22648.8i −0.271542 + 0.271542i
\(94\) 14609.3 + 31409.4i 0.170533 + 0.366641i
\(95\) −15132.4 −0.172028
\(96\) −4130.80 + 22778.7i −0.0457463 + 0.252261i
\(97\) 27802.9 0.300027 0.150014 0.988684i \(-0.452068\pi\)
0.150014 + 0.988684i \(0.452068\pi\)
\(98\) 52881.3 + 113693.i 0.556207 + 1.19583i
\(99\) 122971. 122971.i 1.26100 1.26100i
\(100\) −15295.9 12885.5i −0.152959 0.128855i
\(101\) −86867.1 86867.1i −0.847328 0.847328i 0.142471 0.989799i \(-0.454495\pi\)
−0.989799 + 0.142471i \(0.954495\pi\)
\(102\) −3241.69 1183.45i −0.0308511 0.0112629i
\(103\) 37838.9i 0.351436i −0.984441 0.175718i \(-0.943775\pi\)
0.984441 0.175718i \(-0.0562246\pi\)
\(104\) −145906. + 83672.0i −1.32278 + 0.758572i
\(105\) 19724.3i 0.174594i
\(106\) −24245.2 + 66412.2i −0.209586 + 0.574095i
\(107\) 1871.29 + 1871.29i 0.0158009 + 0.0158009i 0.714963 0.699162i \(-0.246443\pi\)
−0.699162 + 0.714963i \(0.746443\pi\)
\(108\) −59892.3 + 5122.54i −0.494096 + 0.0422596i
\(109\) 39905.8 39905.8i 0.321714 0.321714i −0.527710 0.849424i \(-0.676949\pi\)
0.849424 + 0.527710i \(0.176949\pi\)
\(110\) −98225.6 + 45687.1i −0.774004 + 0.360008i
\(111\) −23592.1 −0.181743
\(112\) −199217. + 34328.9i −1.50066 + 0.258592i
\(113\) 179127. 1.31967 0.659834 0.751412i \(-0.270627\pi\)
0.659834 + 0.751412i \(0.270627\pi\)
\(114\) 12407.8 5771.17i 0.0894196 0.0415912i
\(115\) −37189.8 + 37189.8i −0.262228 + 0.262228i
\(116\) −5063.74 59204.8i −0.0349403 0.408519i
\(117\) −149160. 149160.i −1.00736 1.00736i
\(118\) −64824.2 + 177565.i −0.428580 + 1.17396i
\(119\) 30134.7i 0.195074i
\(120\) 17456.1 + 4731.97i 0.110661 + 0.0299978i
\(121\) 425729.i 2.64344i
\(122\) −260659. 95159.4i −1.58553 0.578831i
\(123\) 19320.8 + 19320.8i 0.115150 + 0.115150i
\(124\) 165235. 196143.i 0.965044 1.14556i
\(125\) −11048.5 + 11048.5i −0.0632456 + 0.0632456i
\(126\) −106924. 229884.i −0.599999 1.28998i
\(127\) 54658.8 0.300712 0.150356 0.988632i \(-0.451958\pi\)
0.150356 + 0.988632i \(0.451958\pi\)
\(128\) 17412.2 184544.i 0.0939351 0.995578i
\(129\) 2075.70 0.0109822
\(130\) 55417.1 + 119145.i 0.287598 + 0.618324i
\(131\) 75263.3 75263.3i 0.383182 0.383182i −0.489065 0.872247i \(-0.662662\pi\)
0.872247 + 0.489065i \(0.162662\pi\)
\(132\) 63116.0 74922.3i 0.315286 0.374263i
\(133\) 84495.5 + 84495.5i 0.414195 + 0.414195i
\(134\) 96862.6 + 35361.8i 0.466009 + 0.170127i
\(135\) 46961.7i 0.221773i
\(136\) 26669.3 + 7229.48i 0.123642 + 0.0335166i
\(137\) 82268.7i 0.374484i 0.982314 + 0.187242i \(0.0599549\pi\)
−0.982314 + 0.187242i \(0.940045\pi\)
\(138\) 16310.4 44677.1i 0.0729065 0.199704i
\(139\) −30619.7 30619.7i −0.134420 0.134420i 0.636696 0.771115i \(-0.280301\pi\)
−0.771115 + 0.636696i \(0.780301\pi\)
\(140\) 13458.7 + 157358.i 0.0580340 + 0.678529i
\(141\) −17305.2 + 17305.2i −0.0733044 + 0.0733044i
\(142\) −290956. + 135331.i −1.21089 + 0.563217i
\(143\) 711745. 2.91061
\(144\) 229100. 39478.3i 0.920702 0.158654i
\(145\) −46422.6 −0.183362
\(146\) −212788. + 98973.1i −0.826163 + 0.384269i
\(147\) −62639.8 + 62639.8i −0.239088 + 0.239088i
\(148\) 188215. 16097.8i 0.706316 0.0604107i
\(149\) −209646. 209646.i −0.773607 0.773607i 0.205128 0.978735i \(-0.434239\pi\)
−0.978735 + 0.205128i \(0.934239\pi\)
\(150\) 4845.57 13272.9i 0.0175840 0.0481658i
\(151\) 202737.i 0.723586i −0.932258 0.361793i \(-0.882165\pi\)
0.932258 0.361793i \(-0.117835\pi\)
\(152\) −95050.0 + 54508.0i −0.333690 + 0.191360i
\(153\) 34654.9i 0.119684i
\(154\) 803574. + 293362.i 2.73039 + 0.996787i
\(155\) −141679. 141679.i −0.473669 0.473669i
\(156\) −90878.4 76557.8i −0.298985 0.251871i
\(157\) 343510. 343510.i 1.11222 1.11222i 0.119369 0.992850i \(-0.461913\pi\)
0.992850 0.119369i \(-0.0380872\pi\)
\(158\) −253876. 545824.i −0.809056 1.73944i
\(159\) −49948.4 −0.156685
\(160\) −142491. 25840.1i −0.440037 0.0797984i
\(161\) 415317. 1.26274
\(162\) 113704. + 244459.i 0.340398 + 0.731844i
\(163\) −163012. + 163012.i −0.480564 + 0.480564i −0.905312 0.424748i \(-0.860363\pi\)
0.424748 + 0.905312i \(0.360363\pi\)
\(164\) −167322. 140956.i −0.485785 0.409235i
\(165\) −54118.1 54118.1i −0.154751 0.154751i
\(166\) 369484. + 134888.i 1.04070 + 0.379930i
\(167\) 12174.1i 0.0337790i 0.999857 + 0.0168895i \(0.00537634\pi\)
−0.999857 + 0.0168895i \(0.994624\pi\)
\(168\) −71048.4 123893.i −0.194214 0.338667i
\(169\) 492032.i 1.32518i
\(170\) 7403.04 20278.3i 0.0196466 0.0538157i
\(171\) −97169.9 97169.9i −0.254121 0.254121i
\(172\) −16559.7 + 1416.34i −0.0426807 + 0.00365044i
\(173\) −536526. + 536526.i −1.36294 + 1.36294i −0.492783 + 0.870152i \(0.664020\pi\)
−0.870152 + 0.492783i \(0.835980\pi\)
\(174\) 38064.2 17704.6i 0.0953112 0.0443316i
\(175\) 123385. 0.304555
\(176\) −452409. + 640788.i −1.10090 + 1.55931i
\(177\) −133546. −0.320404
\(178\) 321252. 149422.i 0.759969 0.353480i
\(179\) −496149. + 496149.i −1.15739 + 1.15739i −0.172356 + 0.985035i \(0.555138\pi\)
−0.985035 + 0.172356i \(0.944862\pi\)
\(180\) −15477.5 180962.i −0.0356057 0.416299i
\(181\) 189857. + 189857.i 0.430754 + 0.430754i 0.888885 0.458131i \(-0.151481\pi\)
−0.458131 + 0.888885i \(0.651481\pi\)
\(182\) 355839. 974710.i 0.796298 2.18121i
\(183\) 196041.i 0.432731i
\(184\) −99637.1 + 367558.i −0.216958 + 0.800352i
\(185\) 147580.i 0.317028i
\(186\) 170203. + 62136.2i 0.360731 + 0.131693i
\(187\) −82681.3 82681.3i −0.172903 0.172903i
\(188\) 126251. 149867.i 0.260520 0.309252i
\(189\) 262223. 262223.i 0.533968 0.533968i
\(190\) 36101.4 + 77616.6i 0.0725504 + 0.155981i
\(191\) −216777. −0.429962 −0.214981 0.976618i \(-0.568969\pi\)
−0.214981 + 0.976618i \(0.568969\pi\)
\(192\) 126691. 33155.6i 0.248023 0.0649089i
\(193\) −129059. −0.249399 −0.124700 0.992195i \(-0.539797\pi\)
−0.124700 + 0.992195i \(0.539797\pi\)
\(194\) −66329.4 142606.i −0.126532 0.272040i
\(195\) −65643.6 + 65643.6i −0.123625 + 0.123625i
\(196\) 456991. 542475.i 0.849704 1.00865i
\(197\) −384351. 384351.i −0.705607 0.705607i 0.260001 0.965608i \(-0.416277\pi\)
−0.965608 + 0.260001i \(0.916277\pi\)
\(198\) −924110. 337367.i −1.67518 0.611560i
\(199\) 754358.i 1.35035i −0.737660 0.675173i \(-0.764069\pi\)
0.737660 0.675173i \(-0.235931\pi\)
\(200\) −29600.7 + 109196.i −0.0523272 + 0.193033i
\(201\) 72849.9i 0.127186i
\(202\) −238317. + 652795.i −0.410939 + 1.12564i
\(203\) 259213. + 259213.i 0.441485 + 0.441485i
\(204\) 1663.59 + 19450.6i 0.00279879 + 0.0327233i
\(205\) −120861. + 120861.i −0.200863 + 0.200863i
\(206\) −194082. + 90272.4i −0.318653 + 0.148213i
\(207\) −477615. −0.774733
\(208\) 777255. + 548758.i 1.24568 + 0.879473i
\(209\) 463665. 0.734242
\(210\) −101169. + 47056.3i −0.158307 + 0.0736325i
\(211\) −508214. + 508214.i −0.785851 + 0.785851i −0.980811 0.194960i \(-0.937542\pi\)
0.194960 + 0.980811i \(0.437542\pi\)
\(212\) 398482. 34081.8i 0.608932 0.0520815i
\(213\) −160304. 160304.i −0.242101 0.242101i
\(214\) 5133.84 14062.5i 0.00766316 0.0209908i
\(215\) 12984.5i 0.0191571i
\(216\) 169160. + 294977.i 0.246696 + 0.430184i
\(217\) 1.58220e6i 2.28093i
\(218\) −299887. 109480.i −0.427383 0.156025i
\(219\) −117237. 117237.i −0.165179 0.165179i
\(220\) 468674. + 394820.i 0.652852 + 0.549975i
\(221\) −100290. + 100290.i −0.138126 + 0.138126i
\(222\) 56283.7 + 121008.i 0.0766479 + 0.164790i
\(223\) 162588. 0.218940 0.109470 0.993990i \(-0.465085\pi\)
0.109470 + 0.993990i \(0.465085\pi\)
\(224\) 651353. + 939922.i 0.867354 + 1.25162i
\(225\) −141892. −0.186854
\(226\) −427343. 918773.i −0.556552 1.19657i
\(227\) −517939. + 517939.i −0.667135 + 0.667135i −0.957052 0.289917i \(-0.906372\pi\)
0.289917 + 0.957052i \(0.406372\pi\)
\(228\) −59202.6 49873.4i −0.0754230 0.0635378i
\(229\) −814473. 814473.i −1.02633 1.02633i −0.999644 0.0266888i \(-0.991504\pi\)
−0.0266888 0.999644i \(-0.508496\pi\)
\(230\) 279477. + 102029.i 0.348358 + 0.127176i
\(231\) 604364.i 0.745193i
\(232\) −291591. + 167218.i −0.355676 + 0.203968i
\(233\) 453287.i 0.546995i 0.961873 + 0.273498i \(0.0881805\pi\)
−0.961873 + 0.273498i \(0.911819\pi\)
\(234\) −409215. + 1.12092e6i −0.488554 + 1.33824i
\(235\) −108252. 108252.i −0.127870 0.127870i
\(236\) 1.06542e6 91124.1i 1.24520 0.106501i
\(237\) 300725. 300725.i 0.347776 0.347776i
\(238\) −154566. + 71892.3i −0.176877 + 0.0822697i
\(239\) −1.02509e6 −1.16083 −0.580413 0.814322i \(-0.697109\pi\)
−0.580413 + 0.814322i \(0.697109\pi\)
\(240\) −17374.0 100824.i −0.0194702 0.112989i
\(241\) 1.33741e6 1.48328 0.741638 0.670800i \(-0.234049\pi\)
0.741638 + 0.670800i \(0.234049\pi\)
\(242\) 2.18364e6 1.01566e6i 2.39685 1.11484i
\(243\) −457458. + 457458.i −0.496976 + 0.496976i
\(244\) 133767. + 1.56399e6i 0.143838 + 1.68174i
\(245\) −391842. 391842.i −0.417057 0.417057i
\(246\) 53006.1 145193.i 0.0558454 0.152971i
\(247\) 562412.i 0.586559i
\(248\) −1.40025e6 379579.i −1.44570 0.391897i
\(249\) 277887.i 0.284034i
\(250\) 83028.4 + 30311.4i 0.0840189 + 0.0306729i
\(251\) −949915. 949915.i −0.951701 0.951701i 0.0471855 0.998886i \(-0.484975\pi\)
−0.998886 + 0.0471855i \(0.984975\pi\)
\(252\) −924023. + 1.09687e6i −0.916604 + 1.08806i
\(253\) 1.13952e6 1.13952e6i 1.11923 1.11923i
\(254\) −130400. 280355.i −0.126821 0.272661i
\(255\) 15251.2 0.0146877
\(256\) −988099. + 350958.i −0.942325 + 0.334699i
\(257\) 1.04686e6 0.988681 0.494341 0.869268i \(-0.335410\pi\)
0.494341 + 0.869268i \(0.335410\pi\)
\(258\) −4952.01 10646.6i −0.00463161 0.00995779i
\(259\) −824048. + 824048.i −0.763314 + 0.763314i
\(260\) 478905. 568487.i 0.439355 0.521540i
\(261\) −298095. 298095.i −0.270865 0.270865i
\(262\) −565594. 206483.i −0.509040 0.185836i
\(263\) 1.88612e6i 1.68144i 0.541472 + 0.840719i \(0.317867\pi\)
−0.541472 + 0.840719i \(0.682133\pi\)
\(264\) −534866. 144991.i −0.472318 0.128035i
\(265\) 312451.i 0.273317i
\(266\) 231811. 634973.i 0.200877 0.550239i
\(267\) 176996. + 176996.i 0.151945 + 0.151945i
\(268\) −49708.5 581188.i −0.0422760 0.494287i
\(269\) −225955. + 225955.i −0.190388 + 0.190388i −0.795864 0.605476i \(-0.792983\pi\)
0.605476 + 0.795864i \(0.292983\pi\)
\(270\) 240875. 112037.i 0.201086 0.0935299i
\(271\) 751159. 0.621310 0.310655 0.950523i \(-0.399452\pi\)
0.310655 + 0.950523i \(0.399452\pi\)
\(272\) −26543.8 154039.i −0.0217541 0.126243i
\(273\) 733075. 0.595308
\(274\) 421971. 196269.i 0.339552 0.157934i
\(275\) 338534. 338534.i 0.269942 0.269942i
\(276\) −268068. + 22927.7i −0.211823 + 0.0181170i
\(277\) 991598. + 991598.i 0.776491 + 0.776491i 0.979232 0.202742i \(-0.0649852\pi\)
−0.202742 + 0.979232i \(0.564985\pi\)
\(278\) −84004.1 + 230103.i −0.0651911 + 0.178571i
\(279\) 1.81953e6i 1.39942i
\(280\) 775008. 444441.i 0.590760 0.338781i
\(281\) 1.15437e6i 0.872126i −0.899916 0.436063i \(-0.856373\pi\)
0.899916 0.436063i \(-0.143627\pi\)
\(282\) 130047. + 47476.4i 0.0973816 + 0.0355513i
\(283\) 1.22003e6 + 1.22003e6i 0.905530 + 0.905530i 0.995908 0.0903777i \(-0.0288074\pi\)
−0.0903777 + 0.995908i \(0.528807\pi\)
\(284\) 1.38827e6 + 1.16950e6i 1.02136 + 0.860411i
\(285\) −42763.4 + 42763.4i −0.0311860 + 0.0311860i
\(286\) −1.69801e6 3.65066e6i −1.22751 2.63911i
\(287\) 1.34971e6 0.967246
\(288\) −749056. 1.08091e6i −0.532149 0.767907i
\(289\) −1.39656e6 −0.983589
\(290\) 110751. + 238110.i 0.0773306 + 0.166258i
\(291\) 78569.6 78569.6i 0.0543904 0.0543904i
\(292\) 1.01530e6 + 855308.i 0.696847 + 0.587037i
\(293\) 203103. + 203103.i 0.138213 + 0.138213i 0.772828 0.634615i \(-0.218841\pi\)
−0.634615 + 0.772828i \(0.718841\pi\)
\(294\) 470731. + 171851.i 0.317617 + 0.115953i
\(295\) 835395.i 0.558903i
\(296\) −531593. 926981.i −0.352655 0.614953i
\(297\) 1.43893e6i 0.946564i
\(298\) −575157. + 1.57546e6i −0.375185 + 1.02770i
\(299\) −1.38220e6 1.38220e6i −0.894114 0.894114i
\(300\) −79639.3 + 6811.48i −0.0510886 + 0.00436957i
\(301\) 72502.2 72502.2i 0.0461249 0.0461249i
\(302\) −1.03987e6 + 483670.i −0.656089 + 0.305163i
\(303\) −490965. −0.307216
\(304\) 506342. + 357488.i 0.314239 + 0.221859i
\(305\) 1.22633e6 0.754843
\(306\) 177751. 82676.2i 0.108520 0.0504751i
\(307\) 559308. 559308.i 0.338692 0.338692i −0.517183 0.855875i \(-0.673019\pi\)
0.855875 + 0.517183i \(0.173019\pi\)
\(308\) −412383. 4.82154e6i −0.247699 2.89607i
\(309\) −106931. 106931.i −0.0637100 0.0637100i
\(310\) −388691. + 1.06470e6i −0.229721 + 0.629248i
\(311\) 1.23935e6i 0.726598i −0.931673 0.363299i \(-0.881650\pi\)
0.931673 0.363299i \(-0.118350\pi\)
\(312\) −175869. + 648775.i −0.102283 + 0.377318i
\(313\) 859630.i 0.495965i 0.968765 + 0.247982i \(0.0797675\pi\)
−0.968765 + 0.247982i \(0.920233\pi\)
\(314\) −2.58144e6 942410.i −1.47753 0.539406i
\(315\) 792293. + 792293.i 0.449893 + 0.449893i
\(316\) −2.19395e6 + 2.60435e6i −1.23597 + 1.46717i
\(317\) 227313. 227313.i 0.127051 0.127051i −0.640722 0.767773i \(-0.721365\pi\)
0.767773 + 0.640722i \(0.221365\pi\)
\(318\) 119162. + 256194.i 0.0660800 + 0.142069i
\(319\) 1.42242e6 0.782619
\(320\) 207404. + 792510.i 0.113225 + 0.432643i
\(321\) 10576.4 0.00572894
\(322\) −990824. 2.13023e6i −0.532545 1.14495i
\(323\) −65333.7 + 65333.7i −0.0348442 + 0.0348442i
\(324\) 982609. 1.16641e6i 0.520018 0.617291i
\(325\) −410631. 410631.i −0.215647 0.215647i
\(326\) 1.22502e6 + 447219.i 0.638407 + 0.233065i
\(327\) 225544.i 0.116644i
\(328\) −323804. + 1.19450e6i −0.166187 + 0.613060i
\(329\) 1.20891e6i 0.615750i
\(330\) −148471. + 406691.i −0.0750512 + 0.205579i
\(331\) 781848. + 781848.i 0.392240 + 0.392240i 0.875485 0.483245i \(-0.160542\pi\)
−0.483245 + 0.875485i \(0.660542\pi\)
\(332\) −189614. 2.21695e6i −0.0944114 1.10385i
\(333\) 947656. 947656.i 0.468317 0.468317i
\(334\) 62443.2 29043.8i 0.0306280 0.0142458i
\(335\) −455711. −0.221859
\(336\) −465967. + 659991.i −0.225168 + 0.318926i
\(337\) 3.22360e6 1.54620 0.773102 0.634282i \(-0.218704\pi\)
0.773102 + 0.634282i \(0.218704\pi\)
\(338\) −2.52372e6 + 1.17384e6i −1.20157 + 0.558879i
\(339\) 506204. 506204.i 0.239236 0.239236i
\(340\) −121672. + 10406.5i −0.0570814 + 0.00488213i
\(341\) 4.34112e6 + 4.34112e6i 2.02170 + 2.02170i
\(342\) −266583. + 730220.i −0.123244 + 0.337589i
\(343\) 1.05793e6i 0.485537i
\(344\) 46771.1 + 81558.6i 0.0213099 + 0.0371598i
\(345\) 210193.i 0.0950760i
\(346\) 4.03192e6 + 1.47194e6i 1.81060 + 0.660999i
\(347\) 336317. + 336317.i 0.149942 + 0.149942i 0.778092 0.628150i \(-0.216188\pi\)
−0.628150 + 0.778092i \(0.716188\pi\)
\(348\) −181620. 153000.i −0.0803925 0.0677242i
\(349\) −1.30701e6 + 1.30701e6i −0.574400 + 0.574400i −0.933355 0.358955i \(-0.883133\pi\)
0.358955 + 0.933355i \(0.383133\pi\)
\(350\) −294359. 632862.i −0.128442 0.276146i
\(351\) −1.74538e6 −0.756176
\(352\) 4.36603e6 + 791756.i 1.87815 + 0.340592i
\(353\) −4.18476e6 −1.78745 −0.893725 0.448615i \(-0.851917\pi\)
−0.893725 + 0.448615i \(0.851917\pi\)
\(354\) 318602. + 684982.i 0.135126 + 0.290517i
\(355\) 1.00278e6 1.00278e6i 0.422313 0.422313i
\(356\) −1.53282e6 1.29128e6i −0.641014 0.540003i
\(357\) −85159.1 85159.1i −0.0353639 0.0353639i
\(358\) 3.72850e6 + 1.36117e6i 1.53754 + 0.561313i
\(359\) 1.30242e6i 0.533354i 0.963786 + 0.266677i \(0.0859257\pi\)
−0.963786 + 0.266677i \(0.914074\pi\)
\(360\) −891259. + 511108.i −0.362450 + 0.207853i
\(361\) 2.10972e6i 0.852032i
\(362\) 520866. 1.42675e6i 0.208908 0.572237i
\(363\) 1.20309e6 + 1.20309e6i 0.479216 + 0.479216i
\(364\) −5.84838e6 + 500207.i −2.31357 + 0.197878i
\(365\) 733374. 733374.i 0.288133 0.288133i
\(366\) −1.00553e6 + 467695.i −0.392366 + 0.182499i
\(367\) 442787. 0.171605 0.0858025 0.996312i \(-0.472655\pi\)
0.0858025 + 0.996312i \(0.472655\pi\)
\(368\) 2.12297e6 365828.i 0.817193 0.140818i
\(369\) −1.55217e6 −0.593436
\(370\) −756961. + 352081.i −0.287455 + 0.133702i
\(371\) −1.74465e6 + 1.74465e6i −0.658071 + 0.658071i
\(372\) −87345.5 1.02124e6i −0.0327253 0.382621i
\(373\) −3.38472e6 3.38472e6i −1.25965 1.25965i −0.951259 0.308392i \(-0.900209\pi\)
−0.308392 0.951259i \(-0.599791\pi\)
\(374\) −226834. + 621340.i −0.0838549 + 0.229694i
\(375\) 62445.3i 0.0229309i
\(376\) −1.06989e6 290025.i −0.390275 0.105795i
\(377\) 1.72535e6i 0.625207i
\(378\) −1.97057e6 719400.i −0.709353 0.258965i
\(379\) −1.74454e6 1.74454e6i −0.623852 0.623852i 0.322662 0.946514i \(-0.395422\pi\)
−0.946514 + 0.322662i \(0.895422\pi\)
\(380\) 311982. 370340.i 0.110833 0.131566i
\(381\) 154463. 154463.i 0.0545146 0.0545146i
\(382\) 517166. + 1.11189e6i 0.181331 + 0.389855i
\(383\) 3.91329e6 1.36315 0.681577 0.731746i \(-0.261294\pi\)
0.681577 + 0.731746i \(0.261294\pi\)
\(384\) −472307. 570719.i −0.163454 0.197512i
\(385\) −3.78058e6 −1.29989
\(386\) 307896. + 661966.i 0.105181 + 0.226135i
\(387\) −83377.6 + 83377.6i −0.0282991 + 0.0282991i
\(388\) −573207. + 680430.i −0.193300 + 0.229458i
\(389\) 521316. + 521316.i 0.174674 + 0.174674i 0.789029 0.614356i \(-0.210584\pi\)
−0.614356 + 0.789029i \(0.710584\pi\)
\(390\) 493303. + 180091.i 0.164230 + 0.0599558i
\(391\) 321132.i 0.106229i
\(392\) −3.87269e6 1.04980e6i −1.27291 0.345059i
\(393\) 425381.i 0.138930i
\(394\) −1.05446e6 + 2.88835e6i −0.342206 + 0.937367i
\(395\) 1.88118e6 + 1.88118e6i 0.606649 + 0.606649i
\(396\) 474240. + 5.54478e6i 0.151971 + 1.77683i
\(397\) −2.14350e6 + 2.14350e6i −0.682569 + 0.682569i −0.960578 0.278009i \(-0.910325\pi\)
0.278009 + 0.960578i \(0.410325\pi\)
\(398\) −3.86923e6 + 1.79967e6i −1.22438 + 0.569490i
\(399\) 477561. 0.150175
\(400\) 630704. 108682.i 0.197095 0.0339632i
\(401\) −2.38412e6 −0.740403 −0.370201 0.928952i \(-0.620711\pi\)
−0.370201 + 0.928952i \(0.620711\pi\)
\(402\) 373660. 173798.i 0.115322 0.0536390i
\(403\) 5.26564e6 5.26564e6i 1.61506 1.61506i
\(404\) 3.91685e6 335005.i 1.19394 0.102117i
\(405\) −842527. 842527.i −0.255238 0.255238i
\(406\) 711142. 1.94795e6i 0.214112 0.586493i
\(407\) 4.52193e6i 1.35312i
\(408\) 95796.4 54936.1i 0.0284904 0.0163383i
\(409\) 4.74247e6i 1.40183i −0.713244 0.700916i \(-0.752775\pi\)
0.713244 0.700916i \(-0.247225\pi\)
\(410\) 908254. + 331578.i 0.266838 + 0.0974150i
\(411\) 232488. + 232488.i 0.0678883 + 0.0678883i
\(412\) 926046. + 780119.i 0.268775 + 0.226422i
\(413\) −4.66464e6 + 4.66464e6i −1.34568 + 1.34568i
\(414\) 1.13945e6 + 2.44977e6i 0.326733 + 0.702465i
\(415\) −1.73831e6 −0.495459
\(416\) 960376. 5.29585e6i 0.272087 1.50038i
\(417\) −173059. −0.0487366
\(418\) −1.10617e6 2.37822e6i −0.309657 0.665750i
\(419\) 1.30162e6 1.30162e6i 0.362199 0.362199i −0.502423 0.864622i \(-0.667558\pi\)
0.864622 + 0.502423i \(0.167558\pi\)
\(420\) 482720. + 406653.i 0.133528 + 0.112486i
\(421\) 945631. + 945631.i 0.260026 + 0.260026i 0.825064 0.565039i \(-0.191139\pi\)
−0.565039 + 0.825064i \(0.691139\pi\)
\(422\) 3.81916e6 + 1.39427e6i 1.04397 + 0.381123i
\(423\) 1.39025e6i 0.377782i
\(424\) −1.12547e6 1.96257e6i −0.304032 0.530165i
\(425\) 95403.6i 0.0256208i
\(426\) −439790. + 1.20467e6i −0.117414 + 0.321620i
\(427\) −6.84751e6 6.84751e6i −1.81745 1.81745i
\(428\) −84377.0 + 7216.69i −0.0222646 + 0.00190427i
\(429\) 2.01136e6 2.01136e6i 0.527650 0.527650i
\(430\) 66599.7 30977.1i 0.0173701 0.00807923i
\(431\) −5.90106e6 −1.53016 −0.765080 0.643935i \(-0.777301\pi\)
−0.765080 + 0.643935i \(0.777301\pi\)
\(432\) 1.10942e6 1.57138e6i 0.286015 0.405108i
\(433\) −3.70654e6 −0.950055 −0.475027 0.879971i \(-0.657562\pi\)
−0.475027 + 0.879971i \(0.657562\pi\)
\(434\) 8.11537e6 3.77465e6i 2.06816 0.961951i
\(435\) −131188. + 131188.i −0.0332408 + 0.0332408i
\(436\) 153898. + 1.79936e6i 0.0387719 + 0.453317i
\(437\) −900432. 900432.i −0.225552 0.225552i
\(438\) −321637. + 881023.i −0.0801089 + 0.219433i
\(439\) 2.43564e6i 0.603186i 0.953437 + 0.301593i \(0.0975184\pi\)
−0.953437 + 0.301593i \(0.902482\pi\)
\(440\) 906984. 3.34584e6i 0.223341 0.823897i
\(441\) 5.03228e6i 1.23216i
\(442\) 753666. + 275142.i 0.183494 + 0.0669887i
\(443\) 4.75839e6 + 4.75839e6i 1.15200 + 1.15200i 0.986152 + 0.165843i \(0.0530345\pi\)
0.165843 + 0.986152i \(0.446966\pi\)
\(444\) 486394. 577378.i 0.117093 0.138996i
\(445\) −1.10719e6 + 1.10719e6i −0.265047 + 0.265047i
\(446\) −387886. 833941.i −0.0923352 0.198517i
\(447\) −1.18490e6 −0.280487
\(448\) 3.26709e6 5.58328e6i 0.769070 1.31430i
\(449\) 1.20625e6 0.282372 0.141186 0.989983i \(-0.454908\pi\)
0.141186 + 0.989983i \(0.454908\pi\)
\(450\) 338513. + 727791.i 0.0788033 + 0.169424i
\(451\) 3.70325e6 3.70325e6i 0.857317 0.857317i
\(452\) −3.69303e6 + 4.38384e6i −0.850231 + 1.00927i
\(453\) −572925. 572925.i −0.131175 0.131175i
\(454\) 3.89225e6 + 1.42095e6i 0.886259 + 0.323548i
\(455\) 4.58573e6i 1.03844i
\(456\) −114570. + 422644.i −0.0258022 + 0.0951837i
\(457\) 8.30542e6i 1.86025i 0.367245 + 0.930124i \(0.380301\pi\)
−0.367245 + 0.930124i \(0.619699\pi\)
\(458\) −2.23448e6 + 6.12067e6i −0.497752 + 1.36344i
\(459\) 202756. + 202756.i 0.0449202 + 0.0449202i
\(460\) −143423. 1.67689e6i −0.0316028 0.369497i
\(461\) −3.51089e6 + 3.51089e6i −0.769422 + 0.769422i −0.978005 0.208583i \(-0.933115\pi\)
0.208583 + 0.978005i \(0.433115\pi\)
\(462\) 3.09989e6 1.44183e6i 0.675680 0.314275i
\(463\) 558945. 0.121176 0.0605880 0.998163i \(-0.480702\pi\)
0.0605880 + 0.998163i \(0.480702\pi\)
\(464\) 1.55334e6 + 1.09669e6i 0.334944 + 0.236477i
\(465\) −800754. −0.171738
\(466\) 2.32499e6 1.08141e6i 0.495970 0.230688i
\(467\) 2.74891e6 2.74891e6i 0.583268 0.583268i −0.352532 0.935800i \(-0.614679\pi\)
0.935800 + 0.352532i \(0.114679\pi\)
\(468\) 6.72564e6 575239.i 1.41945 0.121404i
\(469\) 2.54458e6 + 2.54458e6i 0.534175 + 0.534175i
\(470\) −296987. + 813504.i −0.0620145 + 0.169869i
\(471\) 1.94149e6i 0.403257i
\(472\) −3.00916e6 5.24731e6i −0.621713 1.08413i
\(473\) 397853.i 0.0817654i
\(474\) −2.25991e6 825031.i −0.462004 0.168665i
\(475\) −267505. 267505.i −0.0543999 0.0543999i
\(476\) 737496. + 621281.i 0.149191 + 0.125681i
\(477\) 2.00634e6 2.00634e6i 0.403747 0.403747i
\(478\) 2.44556e6 + 5.25786e6i 0.489563 + 1.05254i
\(479\) −1.32442e6 −0.263746 −0.131873 0.991267i \(-0.542099\pi\)
−0.131873 + 0.991267i \(0.542099\pi\)
\(480\) −475697. + 329651.i −0.0942383 + 0.0653058i
\(481\) 5.48496e6 1.08096
\(482\) −3.19066e6 6.85981e6i −0.625552 1.34491i
\(483\) 1.17367e6 1.17367e6i 0.228916 0.228916i
\(484\) −1.04190e7 8.77718e6i −2.02168 1.70311i
\(485\) 491490. + 491490.i 0.0948769 + 0.0948769i
\(486\) 3.43774e6 + 1.25502e6i 0.660210 + 0.241024i
\(487\) 8.10722e6i 1.54899i −0.632578 0.774496i \(-0.718003\pi\)
0.632578 0.774496i \(-0.281997\pi\)
\(488\) 7.70284e6 4.41732e6i 1.46420 0.839672i
\(489\) 921329.i 0.174238i
\(490\) −1.07501e6 + 2.94464e6i −0.202265 + 0.554041i
\(491\) −406525. 406525.i −0.0760998 0.0760998i 0.668032 0.744132i \(-0.267137\pi\)
−0.744132 + 0.668032i \(0.767137\pi\)
\(492\) −871179. + 74511.2i −0.162254 + 0.0138774i
\(493\) −200429. + 200429.i −0.0371400 + 0.0371400i
\(494\) −2.88471e6 + 1.34175e6i −0.531844 + 0.247374i
\(495\) 4.34767e6 0.797524
\(496\) 1.39366e6 + 8.08770e6i 0.254363 + 1.47612i
\(497\) −1.11985e7 −2.03362
\(498\) 1.42533e6 662956.i 0.257539 0.119787i
\(499\) 193908. 193908.i 0.0348614 0.0348614i −0.689461 0.724323i \(-0.742153\pi\)
0.724323 + 0.689461i \(0.242153\pi\)
\(500\) −42609.0 498181.i −0.00762213 0.0891174i
\(501\) 34403.5 + 34403.5i 0.00612362 + 0.00612362i
\(502\) −2.60606e6 + 7.13849e6i −0.461557 + 1.26429i
\(503\) 1.67379e6i 0.294973i −0.989064 0.147486i \(-0.952882\pi\)
0.989064 0.147486i \(-0.0471183\pi\)
\(504\) 7.83047e6 + 2.12267e6i 1.37313 + 0.372226i
\(505\) 3.07121e6i 0.535897i
\(506\) −8.56333e6 3.12623e6i −1.48685 0.542806i
\(507\) −1.39046e6 1.39046e6i −0.240236 0.240236i
\(508\) −1.12689e6 + 1.33769e6i −0.193742 + 0.229982i
\(509\) 1.50765e6 1.50765e6i 0.257932 0.257932i −0.566280 0.824213i \(-0.691618\pi\)
0.824213 + 0.566280i \(0.191618\pi\)
\(510\) −36384.9 78226.2i −0.00619435 0.0133176i
\(511\) −8.18996e6 −1.38749
\(512\) 4.15743e6 + 4.23085e6i 0.700891 + 0.713268i
\(513\) −1.13703e6 −0.190756
\(514\) −2.49750e6 5.36953e6i −0.416963 0.896455i
\(515\) 668904. 668904.i 0.111134 0.111134i
\(516\) −42794.4 + 50799.4i −0.00707559 + 0.00839913i
\(517\) 3.31692e6 + 3.31692e6i 0.545769 + 0.545769i
\(518\) 6.19262e6 + 2.26075e6i 1.01403 + 0.370193i
\(519\) 3.03239e6i 0.494159i
\(520\) −4.05840e6 1.10014e6i −0.658182 0.178419i
\(521\) 2.57563e6i 0.415708i −0.978160 0.207854i \(-0.933352\pi\)
0.978160 0.207854i \(-0.0666479\pi\)
\(522\) −817814. + 2.24014e6i −0.131365 + 0.359832i
\(523\) −2.13633e6 2.13633e6i −0.341518 0.341518i 0.515420 0.856938i \(-0.327636\pi\)
−0.856938 + 0.515420i \(0.827636\pi\)
\(524\) 290255. + 3.39364e6i 0.0461797 + 0.539930i
\(525\) 348679. 348679.i 0.0552113 0.0552113i
\(526\) 9.67426e6 4.49973e6i 1.52459 0.709124i
\(527\) −1.22339e6 −0.191883
\(528\) 532349. + 3.08932e6i 0.0831020 + 0.482257i
\(529\) 2.01049e6 0.312365
\(530\) −1.60261e6 + 745414.i −0.247821 + 0.115268i
\(531\) 5.36434e6 5.36434e6i 0.825619 0.825619i
\(532\) −3.80992e6 + 325859.i −0.583629 + 0.0499173i
\(533\) −4.49192e6 4.49192e6i −0.684880 0.684880i
\(534\) 485583. 1.33010e6i 0.0736904 0.201852i
\(535\) 66160.2i 0.00999338i
\(536\) −2.86242e6 + 1.64150e6i −0.430350 + 0.246792i
\(537\) 2.80419e6i 0.419635i
\(538\) 1.69802e6 + 619900.i 0.252922 + 0.0923349i
\(539\) 1.20063e7 + 1.20063e7i 1.78007 + 1.78007i
\(540\) −1.14931e6 968202.i −0.169611 0.142883i
\(541\) 1.65184e6 1.65184e6i 0.242647 0.242647i −0.575297 0.817944i \(-0.695114\pi\)
0.817944 + 0.575297i \(0.195114\pi\)
\(542\) −1.79204e6 3.85282e6i −0.262029 0.563353i
\(543\) 1.07305e6 0.156178
\(544\) −726767. + 503639.i −0.105293 + 0.0729663i
\(545\) 1.41088e6 0.203470
\(546\) −1.74890e6 3.76007e6i −0.251063 0.539777i
\(547\) −6.74481e6 + 6.74481e6i −0.963833 + 0.963833i −0.999368 0.0355356i \(-0.988686\pi\)
0.0355356 + 0.999368i \(0.488686\pi\)
\(548\) −2.01339e6 1.69612e6i −0.286403 0.241271i
\(549\) 7.87464e6 + 7.87464e6i 1.11506 + 1.11506i
\(550\) −2.54404e6 928758.i −0.358606 0.130917i
\(551\) 1.12398e6i 0.157717i
\(552\) 757132. + 1.32027e6i 0.105761 + 0.184423i
\(553\) 2.10081e7i 2.92128i
\(554\) 2.72042e6 7.45174e6i 0.376584 1.03153i
\(555\) −417053. 417053.i −0.0574723 0.0574723i
\(556\) 1.38065e6 118086.i 0.189407 0.0161998i
\(557\) 3.42824e6 3.42824e6i 0.468202 0.468202i −0.433130 0.901332i \(-0.642591\pi\)
0.901332 + 0.433130i \(0.142591\pi\)
\(558\) −9.33267e6 + 4.34085e6i −1.26888 + 0.590187i
\(559\) −482583. −0.0653194
\(560\) −4.12856e6 2.91484e6i −0.556324 0.392776i
\(561\) −467307. −0.0626895
\(562\) −5.92096e6 + 2.75398e6i −0.790772 + 0.367807i
\(563\) −9.10019e6 + 9.10019e6i −1.20998 + 1.20998i −0.238952 + 0.971031i \(0.576804\pi\)
−0.971031 + 0.238952i \(0.923196\pi\)
\(564\) −66738.2 780297.i −0.00883439 0.103291i
\(565\) 3.16654e6 + 3.16654e6i 0.417316 + 0.417316i
\(566\) 3.34710e6 9.16834e6i 0.439165 1.20296i
\(567\) 9.40893e6i 1.22909i
\(568\) 2.68660e6 9.91076e6i 0.349407 1.28895i
\(569\) 5.49614e6i 0.711668i 0.934549 + 0.355834i \(0.115803\pi\)
−0.934549 + 0.355834i \(0.884197\pi\)
\(570\) 321362. + 117320.i 0.0414292 + 0.0151247i
\(571\) −6.26904e6 6.26904e6i −0.804657 0.804657i 0.179162 0.983820i \(-0.442661\pi\)
−0.983820 + 0.179162i \(0.942661\pi\)
\(572\) −1.46739e7 + 1.74188e7i −1.87524 + 2.22602i
\(573\) −612602. + 612602.i −0.0779457 + 0.0779457i
\(574\) −3.22002e6 6.92292e6i −0.407923 0.877020i
\(575\) −1.31486e6 −0.165847
\(576\) −3.75715e6 + 6.42077e6i −0.471849 + 0.806363i
\(577\) 2.00756e6 0.251031 0.125516 0.992092i \(-0.459941\pi\)
0.125516 + 0.992092i \(0.459941\pi\)
\(578\) 3.33177e6 + 7.16318e6i 0.414816 + 0.891839i
\(579\) −364714. + 364714.i −0.0452123 + 0.0452123i
\(580\) 957088. 1.13612e6i 0.118136 0.140234i
\(581\) 9.70632e6 + 9.70632e6i 1.19293 + 1.19293i
\(582\) −590441. 215553.i −0.0722552 0.0263783i
\(583\) 9.57368e6i 1.16656i
\(584\) 1.96482e6 7.24816e6i 0.238392 0.879419i
\(585\) 5.27359e6i 0.637114i
\(586\) 557208. 1.52630e6i 0.0670306 0.183609i
\(587\) 5.11196e6 + 5.11196e6i 0.612339 + 0.612339i 0.943555 0.331216i \(-0.107459\pi\)
−0.331216 + 0.943555i \(0.607459\pi\)
\(588\) −241572. 2.82444e6i −0.0288140 0.336891i
\(589\) 3.43030e6 3.43030e6i 0.407421 0.407421i
\(590\) −4.28488e6 + 1.99300e6i −0.506768 + 0.235710i
\(591\) −2.17232e6 −0.255832
\(592\) −3.48642e6 + 4.93814e6i −0.408861 + 0.579107i
\(593\) −5.60846e6 −0.654948 −0.327474 0.944860i \(-0.606197\pi\)
−0.327474 + 0.944860i \(0.606197\pi\)
\(594\) −7.38055e6 + 3.43287e6i −0.858267 + 0.399201i
\(595\) 532710. 532710.i 0.0616877 0.0616877i
\(596\) 9.45298e6 808505.i 1.09007 0.0932325i
\(597\) −2.13178e6 2.13178e6i −0.244797 0.244797i
\(598\) −3.79202e6 + 1.03871e7i −0.433629 + 1.18779i
\(599\) 3.57303e6i 0.406883i 0.979087 + 0.203441i \(0.0652126\pi\)
−0.979087 + 0.203441i \(0.934787\pi\)
\(600\) 224933. + 392233.i 0.0255079 + 0.0444802i
\(601\) 7.00344e6i 0.790907i −0.918486 0.395453i \(-0.870587\pi\)
0.918486 0.395453i \(-0.129413\pi\)
\(602\) −544845. 198908.i −0.0612748 0.0223697i
\(603\) −2.92626e6 2.92626e6i −0.327733 0.327733i
\(604\) 4.96166e6 + 4.17979e6i 0.553394 + 0.466190i
\(605\) −7.52589e6 + 7.52589e6i −0.835929 + 0.835929i
\(606\) 1.17130e6 + 2.51824e6i 0.129564 + 0.278558i
\(607\) −7.15190e6 −0.787861 −0.393930 0.919140i \(-0.628885\pi\)
−0.393930 + 0.919140i \(0.628885\pi\)
\(608\) 625635. 3.44998e6i 0.0686376 0.378492i
\(609\) 1.46505e6 0.160069
\(610\) −2.92565e6 6.29004e6i −0.318345 0.684430i
\(611\) 4.02332e6 4.02332e6i 0.435995 0.435995i
\(612\) −848121. 714474.i −0.0915333 0.0771095i
\(613\) 1.00171e7 + 1.00171e7i 1.07669 + 1.07669i 0.996804 + 0.0798818i \(0.0254543\pi\)
0.0798818 + 0.996804i \(0.474546\pi\)
\(614\) −4.20313e6 1.53444e6i −0.449937 0.164259i
\(615\) 683094.i 0.0728270i
\(616\) −2.37467e7 + 1.36180e7i −2.52146 + 1.44597i
\(617\) 6.37727e6i 0.674407i 0.941432 + 0.337203i \(0.109481\pi\)
−0.941432 + 0.337203i \(0.890519\pi\)
\(618\) −293362. + 803573.i −0.0308982 + 0.0846359i
\(619\) −1.04107e7 1.04107e7i −1.09208 1.09208i −0.995307 0.0967688i \(-0.969149\pi\)
−0.0967688 0.995307i \(-0.530851\pi\)
\(620\) 6.38832e6 546388.i 0.667432 0.0570849i
\(621\) −2.79439e6 + 2.79439e6i −0.290776 + 0.290776i
\(622\) −6.35686e6 + 2.95673e6i −0.658819 + 0.306433i
\(623\) 1.23646e7 1.27632
\(624\) 3.74725e6 645722.i 0.385258 0.0663872i
\(625\) −390625. −0.0400000
\(626\) 4.40919e6 2.05082e6i 0.449700 0.209166i
\(627\) 1.31030e6 1.31030e6i 0.133107 0.133107i
\(628\) 1.32476e6 + 1.54889e7i 0.134041 + 1.56719i
\(629\) −637171. 637171.i −0.0642140 0.0642140i
\(630\) 2.17363e6 5.95398e6i 0.218190 0.597663i
\(631\) 7.50163e6i 0.750036i −0.927018 0.375018i \(-0.877637\pi\)
0.927018 0.375018i \(-0.122363\pi\)
\(632\) 1.85923e7 + 5.03996e6i 1.85157 + 0.501920i
\(633\) 2.87238e6i 0.284926i
\(634\) −1.70823e6 623628.i −0.168781 0.0616172i
\(635\) 966241. + 966241.i 0.0950935 + 0.0950935i
\(636\) 1.02978e6 1.22240e6i 0.100949 0.119832i
\(637\) 1.45632e7 1.45632e7i 1.42203 1.42203i
\(638\) −3.39347e6 7.29583e6i −0.330059 0.709615i
\(639\) 1.28783e7 1.24769
\(640\) 3.57012e6 2.95450e6i 0.344534 0.285125i
\(641\) 1.89084e7 1.81765 0.908825 0.417177i \(-0.136980\pi\)
0.908825 + 0.417177i \(0.136980\pi\)
\(642\) −25232.1 54248.1i −0.00241610 0.00519453i
\(643\) 5.88611e6 5.88611e6i 0.561437 0.561437i −0.368278 0.929716i \(-0.620053\pi\)
0.929716 + 0.368278i \(0.120053\pi\)
\(644\) −8.56253e6 + 1.01642e7i −0.813556 + 0.965737i
\(645\) 36693.6 + 36693.6i 0.00347289 + 0.00347289i
\(646\) 490974. + 179241.i 0.0462890 + 0.0168988i
\(647\) 1.84161e6i 0.172956i −0.996254 0.0864782i \(-0.972439\pi\)
0.996254 0.0864782i \(-0.0275613\pi\)
\(648\) −8.32695e6 2.25726e6i −0.779020 0.211175i
\(649\) 2.55970e7i 2.38549i
\(650\) −1.12656e6 + 3.08584e6i −0.104585 + 0.286478i
\(651\) 4.47122e6 + 4.47122e6i 0.413498 + 0.413498i
\(652\) −628661. 7.35025e6i −0.0579158 0.677147i
\(653\) 7.63776e6 7.63776e6i 0.700944 0.700944i −0.263670 0.964613i \(-0.584933\pi\)
0.964613 + 0.263670i \(0.0849328\pi\)
\(654\) −1.15685e6 + 538081.i −0.105763 + 0.0491930i
\(655\) 2.66096e6 0.242345
\(656\) 6.89932e6 1.18888e6i 0.625960 0.107865i
\(657\) 9.41846e6 0.851269
\(658\) 6.20071e6 2.88410e6i 0.558312 0.259684i
\(659\) 4.80399e6 4.80399e6i 0.430912 0.430912i −0.458027 0.888939i \(-0.651444\pi\)
0.888939 + 0.458027i \(0.151444\pi\)
\(660\) 2.44020e6 208708.i 0.218054 0.0186500i
\(661\) 2.67220e6 + 2.67220e6i 0.237884 + 0.237884i 0.815974 0.578089i \(-0.196201\pi\)
−0.578089 + 0.815974i \(0.696201\pi\)
\(662\) 2.14498e6 5.87549e6i 0.190229 0.521074i
\(663\) 566829.i 0.0500804i
\(664\) −1.09188e7 + 6.26154e6i −0.961065 + 0.551139i
\(665\) 2.98737e6i 0.261960i
\(666\) −7.12152e6 2.59987e6i −0.622138 0.227125i
\(667\) −2.76232e6 2.76232e6i −0.240413 0.240413i
\(668\) −297942. 250992.i −0.0258339 0.0217630i
\(669\) 459465. 459465.i 0.0396906 0.0396906i
\(670\) 1.08719e6 + 2.33742e6i 0.0935661 + 0.201164i
\(671\) −3.75754e7 −3.22179
\(672\) 4.49687e6 + 815484.i 0.384138 + 0.0696614i
\(673\) −7.91971e6 −0.674019 −0.337009 0.941501i \(-0.609415\pi\)
−0.337009 + 0.941501i \(0.609415\pi\)
\(674\) −7.69056e6 1.65344e7i −0.652091 1.40197i
\(675\) −830173. + 830173.i −0.0701309 + 0.0701309i
\(676\) 1.20417e7 + 1.01441e7i 1.01349 + 0.853785i
\(677\) −8.95269e6 8.95269e6i −0.750727 0.750727i 0.223888 0.974615i \(-0.428125\pi\)
−0.974615 + 0.223888i \(0.928125\pi\)
\(678\) −3.80406e6 1.38876e6i −0.317814 0.116025i
\(679\) 5.48872e6i 0.456874i
\(680\) 343651. + 599252.i 0.0285000 + 0.0496978i
\(681\) 2.92734e6i 0.241883i
\(682\) 1.19097e7 3.26230e7i 0.980485 2.68573i
\(683\) −843476. 843476.i −0.0691865 0.0691865i 0.671667 0.740853i \(-0.265579\pi\)
−0.740853 + 0.671667i \(0.765579\pi\)
\(684\) 4.38141e6 374738.i 0.358075 0.0306258i
\(685\) −1.45432e6 + 1.45432e6i −0.118422 + 0.118422i
\(686\) 5.42632e6 2.52391e6i 0.440246 0.204769i
\(687\) −4.60333e6 −0.372117
\(688\) 306746. 434472.i 0.0247063 0.0349937i
\(689\) 1.16126e7 0.931924
\(690\) 1.07812e6 501458.i 0.0862071 0.0400970i
\(691\) −5.68228e6 + 5.68228e6i −0.452717 + 0.452717i −0.896256 0.443538i \(-0.853723\pi\)
0.443538 + 0.896256i \(0.353723\pi\)
\(692\) −2.06913e6 2.41921e7i −0.164256 1.92047i
\(693\) −2.42763e7 2.42763e7i −1.92022 1.92022i
\(694\) 922675. 2.52738e6i 0.0727193 0.199192i
\(695\) 1.08257e6i 0.0850146i
\(696\) −351473. + 1.29657e6i −0.0275023 + 0.101455i
\(697\) 1.04363e6i 0.0813698i
\(698\) 9.82199e6 + 3.58573e6i 0.763064 + 0.278573i
\(699\) 1.28097e6 + 1.28097e6i 0.0991620 + 0.0991620i
\(700\) −2.54380e6 + 3.01964e6i −0.196218 + 0.232922i
\(701\) 1.14378e7 1.14378e7i 0.879118 0.879118i −0.114325 0.993443i \(-0.536471\pi\)
0.993443 + 0.114325i \(0.0364705\pi\)
\(702\) 4.16397e6 + 8.95237e6i 0.318907 + 0.685639i
\(703\) 3.57317e6 0.272688
\(704\) −6.35498e6 2.42830e7i −0.483262 1.84659i
\(705\) −611833. −0.0463618
\(706\) 9.98360e6 + 2.14644e7i 0.753833 + 1.62071i
\(707\) −1.71489e7 + 1.71489e7i −1.29029 + 1.29029i
\(708\) 2.75330e6 3.26833e6i 0.206429 0.245043i
\(709\) −1.13313e7 1.13313e7i −0.846576 0.846576i 0.143128 0.989704i \(-0.454284\pi\)
−0.989704 + 0.143128i \(0.954284\pi\)
\(710\) −7.53575e6 2.75109e6i −0.561023 0.204814i
\(711\) 2.41593e7i 1.79230i
\(712\) −2.96634e6 + 1.09427e7i −0.219291 + 0.808958i
\(713\) 1.68608e7i 1.24209i
\(714\) −233632. + 639960.i −0.0171509 + 0.0469794i
\(715\) 1.25820e7 + 1.25820e7i 0.920417 + 0.920417i
\(716\) −1.91341e6 2.23715e7i −0.139485 1.63084i
\(717\) −2.89685e6 + 2.89685e6i −0.210440 + 0.210440i
\(718\) 6.68035e6 3.10719e6i 0.483602 0.224935i
\(719\) 3.31295e6 0.238997 0.119499 0.992834i \(-0.461871\pi\)
0.119499 + 0.992834i \(0.461871\pi\)
\(720\) 4.74784e6 + 3.35207e6i 0.341322 + 0.240981i
\(721\) −7.46999e6 −0.535158
\(722\) 1.08211e7 5.03316e6i 0.772553 0.359333i
\(723\) 3.77946e6 3.77946e6i 0.268896 0.268896i
\(724\) −8.56068e6 + 732187.i −0.606962 + 0.0519130i
\(725\) −820644. 820644.i −0.0579842 0.0579842i
\(726\) 3.30064e6 9.04106e6i 0.232411 0.636617i
\(727\) 1.99116e7i 1.39723i −0.715496 0.698617i \(-0.753799\pi\)
0.715496 0.698617i \(-0.246201\pi\)
\(728\) 1.65182e7 + 2.88040e7i 1.15514 + 2.01430i
\(729\) 8.99599e6i 0.626946i
\(730\) −5.51122e6 2.01199e6i −0.382772 0.139739i
\(731\) 56060.2 + 56060.2i 0.00388026 + 0.00388026i
\(732\) 4.79778e6 + 4.04174e6i 0.330950 + 0.278799i
\(733\) −7.01608e6 + 7.01608e6i −0.482319 + 0.482319i −0.905872 0.423553i \(-0.860783\pi\)
0.423553 + 0.905872i \(0.360783\pi\)
\(734\) −1.05636e6 2.27113e6i −0.0723721 0.155597i
\(735\) −2.21465e6 −0.151212
\(736\) −6.94118e6 1.00163e7i −0.472323 0.681576i
\(737\) 1.39633e7 0.946930
\(738\) 3.70302e6 + 7.96136e6i 0.250274 + 0.538079i
\(739\) −1.40622e7 + 1.40622e7i −0.947199 + 0.947199i −0.998674 0.0514751i \(-0.983608\pi\)
0.0514751 + 0.998674i \(0.483608\pi\)
\(740\) 3.61177e6 + 3.04263e6i 0.242460 + 0.204253i
\(741\) −1.58935e6 1.58935e6i −0.106334 0.106334i
\(742\) 1.31108e7 + 4.78639e6i 0.874218 + 0.319152i
\(743\) 6.27904e6i 0.417274i −0.977993 0.208637i \(-0.933097\pi\)
0.977993 0.208637i \(-0.0669027\pi\)
\(744\) −5.02972e6 + 2.88438e6i −0.333128 + 0.191038i
\(745\) 7.41210e6i 0.489272i
\(746\) −9.28587e6 + 2.54357e7i −0.610908 + 1.67339i
\(747\) −1.11623e7 1.11623e7i −0.731899 0.731899i
\(748\) 3.72812e6 318863.i 0.243633 0.0208377i
\(749\) 369422. 369422.i 0.0240613 0.0240613i
\(750\) 320293. 148976.i 0.0207919 0.00967082i
\(751\) −6.01668e6 −0.389275 −0.194638 0.980875i \(-0.562353\pi\)
−0.194638 + 0.980875i \(0.562353\pi\)
\(752\) 1.06486e6 + 6.17958e6i 0.0686668 + 0.398487i
\(753\) −5.36883e6 −0.345058
\(754\) −8.84962e6 + 4.11617e6i −0.566886 + 0.263673i
\(755\) 3.58392e6 3.58392e6i 0.228818 0.228818i
\(756\) 1.01127e6 + 1.18237e7i 0.0643520 + 0.752398i
\(757\) 3.36457e6 + 3.36457e6i 0.213398 + 0.213398i 0.805709 0.592311i \(-0.201784\pi\)
−0.592311 + 0.805709i \(0.701784\pi\)
\(758\) −4.78608e6 + 1.31100e7i −0.302557 + 0.828760i
\(759\) 6.44045e6i 0.405799i
\(760\) −2.64384e6 716687.i −0.166035 0.0450086i
\(761\) 1.95367e7i 1.22290i −0.791284 0.611448i \(-0.790587\pi\)
0.791284 0.611448i \(-0.209413\pi\)
\(762\) −1.16077e6 423765.i −0.0724202 0.0264386i