Properties

Label 80.6.q.a.29.11
Level 80
Weight 6
Character 80.29
Analytic conductor 12.831
Analytic rank 0
Dimension 116
CM no
Inner twists 4

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(12.8307055850\)
Analytic rank: \(0\)
Dimension: \(116\)
Relative dimension: \(58\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 29.11
Character \(\chi\) \(=\) 80.29
Dual form 80.6.q.a.69.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.74064 - 3.08648i) q^{2} +(-1.81560 + 1.81560i) q^{3} +(12.9473 + 29.2637i) q^{4} +(48.1357 - 28.4245i) q^{5} +(14.2109 - 3.00330i) q^{6} -66.7879 q^{7} +(28.9433 - 178.690i) q^{8} +236.407i q^{9} +O(q^{10})\) \(q+(-4.74064 - 3.08648i) q^{2} +(-1.81560 + 1.81560i) q^{3} +(12.9473 + 29.2637i) q^{4} +(48.1357 - 28.4245i) q^{5} +(14.2109 - 3.00330i) q^{6} -66.7879 q^{7} +(28.9433 - 178.690i) q^{8} +236.407i q^{9} +(-315.926 - 13.8197i) q^{10} +(215.262 - 215.262i) q^{11} +(-76.6384 - 29.6241i) q^{12} +(-631.811 + 631.811i) q^{13} +(316.617 + 206.139i) q^{14} +(-35.7878 + 139.003i) q^{15} +(-688.734 + 757.774i) q^{16} -755.437i q^{17} +(729.665 - 1120.72i) q^{18} +(1909.08 + 1909.08i) q^{19} +(1455.04 + 1040.61i) q^{20} +(121.260 - 121.260i) q^{21} +(-1684.88 + 356.078i) q^{22} +3963.77 q^{23} +(271.881 + 376.980i) q^{24} +(1509.10 - 2736.47i) q^{25} +(4945.26 - 1045.12i) q^{26} +(-870.412 - 870.412i) q^{27} +(-864.724 - 1954.46i) q^{28} +(586.717 + 586.717i) q^{29} +(598.686 - 548.504i) q^{30} +4694.91 q^{31} +(5603.89 - 1466.57i) q^{32} +781.660i q^{33} +(-2331.64 + 3581.26i) q^{34} +(-3214.89 + 1898.41i) q^{35} +(-6918.16 + 3060.84i) q^{36} +(9100.34 + 9100.34i) q^{37} +(-3157.93 - 14942.6i) q^{38} -2294.23i q^{39} +(-3685.97 - 9424.10i) q^{40} +4883.98i q^{41} +(-949.117 + 200.584i) q^{42} +(6120.84 + 6120.84i) q^{43} +(9086.44 + 3512.31i) q^{44} +(6719.75 + 11379.6i) q^{45} +(-18790.8 - 12234.1i) q^{46} +17818.7i q^{47} +(-125.350 - 2626.28i) q^{48} -12346.4 q^{49} +(-15600.1 + 8314.80i) q^{50} +(1371.57 + 1371.57i) q^{51} +(-26669.4 - 10308.9i) q^{52} +(-1181.77 - 1181.77i) q^{53} +(1439.80 + 6812.81i) q^{54} +(4243.09 - 16480.5i) q^{55} +(-1933.06 + 11934.4i) q^{56} -6932.26 q^{57} +(-970.524 - 4592.30i) q^{58} +(16657.6 - 16657.6i) q^{59} +(-4531.10 + 752.428i) q^{60} +(-39024.8 - 39024.8i) q^{61} +(-22256.9 - 14490.7i) q^{62} -15789.1i q^{63} +(-31092.6 - 10343.8i) q^{64} +(-12453.8 + 48371.6i) q^{65} +(2412.58 - 3705.57i) q^{66} +(-5695.24 + 5695.24i) q^{67} +(22106.9 - 9780.89i) q^{68} +(-7196.62 + 7196.62i) q^{69} +(21100.0 + 922.988i) q^{70} +50085.0i q^{71} +(42243.7 + 6842.41i) q^{72} +56678.1 q^{73} +(-15053.4 - 71229.4i) q^{74} +(2228.41 + 7708.25i) q^{75} +(-31149.4 + 80584.4i) q^{76} +(-14376.9 + 14376.9i) q^{77} +(-7081.09 + 10876.1i) q^{78} +48495.1 q^{79} +(-11613.4 + 56052.9i) q^{80} -54286.3 q^{81} +(15074.3 - 23153.2i) q^{82} +(57382.7 - 57382.7i) q^{83} +(5118.52 + 1978.53i) q^{84} +(-21472.9 - 36363.5i) q^{85} +(-10124.9 - 47908.5i) q^{86} -2130.48 q^{87} +(-32234.9 - 44695.7i) q^{88} -41470.4i q^{89} +(3267.07 - 74687.1i) q^{90} +(42197.3 - 42197.3i) q^{91} +(51320.2 + 115995. i) q^{92} +(-8524.07 + 8524.07i) q^{93} +(54996.9 - 84471.9i) q^{94} +(146160. + 37630.4i) q^{95} +(-7511.71 + 12837.1i) q^{96} -5473.40i q^{97} +(58529.7 + 38106.8i) q^{98} +(50889.5 + 50889.5i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + O(q^{10}) \) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + 532q^{10} - 4q^{11} + 1108q^{14} - 4q^{15} + 1216q^{16} + 2356q^{19} + 824q^{20} - 976q^{21} - 2864q^{24} - 12104q^{26} - 4q^{29} + 736q^{30} + 23056q^{31} - 38304q^{34} - 3864q^{35} - 20588q^{36} + 15144q^{40} - 25536q^{44} + 6734q^{45} - 36052q^{46} + 220884q^{49} + 56116q^{50} - 9472q^{51} - 104360q^{54} - 2552q^{56} + 14476q^{59} + 1008q^{60} - 48084q^{61} + 72944q^{64} - 27692q^{65} - 56736q^{66} - 23296q^{69} + 135260q^{70} - 186128q^{74} - 33244q^{75} - 35824q^{76} + 427312q^{79} - 129128q^{80} - 551132q^{81} - 418448q^{84} + 6248q^{85} + 177516q^{86} + 449576q^{90} - 231952q^{91} + 607356q^{94} + 38420q^{95} - 440264q^{96} + 406924q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(17\) \(21\) \(31\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.74064 3.08648i −0.838035 0.545617i
\(3\) −1.81560 + 1.81560i −0.116471 + 0.116471i −0.762940 0.646469i \(-0.776245\pi\)
0.646469 + 0.762940i \(0.276245\pi\)
\(4\) 12.9473 + 29.2637i 0.404604 + 0.914492i
\(5\) 48.1357 28.4245i 0.861078 0.508472i
\(6\) 14.2109 3.00330i 0.161155 0.0340581i
\(7\) −66.7879 −0.515173 −0.257586 0.966255i \(-0.582927\pi\)
−0.257586 + 0.966255i \(0.582927\pi\)
\(8\) 28.9433 178.690i 0.159891 0.987135i
\(9\) 236.407i 0.972869i
\(10\) −315.926 13.8197i −0.999045 0.0437017i
\(11\) 215.262 215.262i 0.536397 0.536397i −0.386072 0.922469i \(-0.626168\pi\)
0.922469 + 0.386072i \(0.126168\pi\)
\(12\) −76.6384 29.6241i −0.153636 0.0593871i
\(13\) −631.811 + 631.811i −1.03688 + 1.03688i −0.0375869 + 0.999293i \(0.511967\pi\)
−0.999293 + 0.0375869i \(0.988033\pi\)
\(14\) 316.617 + 206.139i 0.431732 + 0.281087i
\(15\) −35.7878 + 139.003i −0.0410683 + 0.159513i
\(16\) −688.734 + 757.774i −0.672592 + 0.740014i
\(17\) 755.437i 0.633981i −0.948429 0.316990i \(-0.897328\pi\)
0.948429 0.316990i \(-0.102672\pi\)
\(18\) 729.665 1120.72i 0.530814 0.815298i
\(19\) 1909.08 + 1909.08i 1.21322 + 1.21322i 0.969960 + 0.243262i \(0.0782176\pi\)
0.243262 + 0.969960i \(0.421782\pi\)
\(20\) 1455.04 + 1040.61i 0.813390 + 0.581719i
\(21\) 121.260 121.260i 0.0600026 0.0600026i
\(22\) −1684.88 + 356.078i −0.742186 + 0.156852i
\(23\) 3963.77 1.56239 0.781194 0.624288i \(-0.214611\pi\)
0.781194 + 0.624288i \(0.214611\pi\)
\(24\) 271.881 + 376.980i 0.0963498 + 0.133595i
\(25\) 1509.10 2736.47i 0.482912 0.875669i
\(26\) 4945.26 1045.12i 1.43468 0.303202i
\(27\) −870.412 870.412i −0.229782 0.229782i
\(28\) −864.724 1954.46i −0.208441 0.471121i
\(29\) 586.717 + 586.717i 0.129549 + 0.129549i 0.768908 0.639359i \(-0.220800\pi\)
−0.639359 + 0.768908i \(0.720800\pi\)
\(30\) 598.686 548.504i 0.121449 0.111270i
\(31\) 4694.91 0.877451 0.438725 0.898621i \(-0.355430\pi\)
0.438725 + 0.898621i \(0.355430\pi\)
\(32\) 5603.89 1466.57i 0.967419 0.253180i
\(33\) 781.660i 0.124949i
\(34\) −2331.64 + 3581.26i −0.345911 + 0.531298i
\(35\) −3214.89 + 1898.41i −0.443604 + 0.261951i
\(36\) −6918.16 + 3060.84i −0.889681 + 0.393626i
\(37\) 9100.34 + 9100.34i 1.09283 + 1.09283i 0.995225 + 0.0976066i \(0.0311187\pi\)
0.0976066 + 0.995225i \(0.468881\pi\)
\(38\) −3157.93 14942.6i −0.354767 1.67868i
\(39\) 2294.23i 0.241533i
\(40\) −3685.97 9424.10i −0.364252 0.931300i
\(41\) 4883.98i 0.453747i 0.973924 + 0.226874i \(0.0728504\pi\)
−0.973924 + 0.226874i \(0.927150\pi\)
\(42\) −949.117 + 200.584i −0.0830226 + 0.0175458i
\(43\) 6120.84 + 6120.84i 0.504824 + 0.504824i 0.912933 0.408109i \(-0.133812\pi\)
−0.408109 + 0.912933i \(0.633812\pi\)
\(44\) 9086.44 + 3512.31i 0.707558 + 0.273502i
\(45\) 6719.75 + 11379.6i 0.494677 + 0.837716i
\(46\) −18790.8 12234.1i −1.30934 0.852466i
\(47\) 17818.7i 1.17661i 0.808641 + 0.588303i \(0.200204\pi\)
−0.808641 + 0.588303i \(0.799796\pi\)
\(48\) −125.350 2626.28i −0.00785272 0.164527i
\(49\) −12346.4 −0.734597
\(50\) −15600.1 + 8314.80i −0.882477 + 0.470356i
\(51\) 1371.57 + 1371.57i 0.0738402 + 0.0738402i
\(52\) −26669.4 10308.9i −1.36774 0.528693i
\(53\) −1181.77 1181.77i −0.0577889 0.0577889i 0.677622 0.735411i \(-0.263011\pi\)
−0.735411 + 0.677622i \(0.763011\pi\)
\(54\) 1439.80 + 6812.81i 0.0671921 + 0.317938i
\(55\) 4243.09 16480.5i 0.189137 0.734622i
\(56\) −1933.06 + 11934.4i −0.0823713 + 0.508545i
\(57\) −6932.26 −0.282610
\(58\) −970.524 4592.30i −0.0378823 0.179250i
\(59\) 16657.6 16657.6i 0.622991 0.622991i −0.323304 0.946295i \(-0.604794\pi\)
0.946295 + 0.323304i \(0.104794\pi\)
\(60\) −4531.10 + 752.428i −0.162489 + 0.0269828i
\(61\) −39024.8 39024.8i −1.34282 1.34282i −0.893244 0.449572i \(-0.851576\pi\)
−0.449572 0.893244i \(-0.648424\pi\)
\(62\) −22256.9 14490.7i −0.735334 0.478752i
\(63\) 15789.1i 0.501195i
\(64\) −31092.6 10343.8i −0.948870 0.315667i
\(65\) −12453.8 + 48371.6i −0.365610 + 1.42006i
\(66\) 2412.58 3705.57i 0.0681743 0.104712i
\(67\) −5695.24 + 5695.24i −0.154998 + 0.154998i −0.780346 0.625348i \(-0.784957\pi\)
0.625348 + 0.780346i \(0.284957\pi\)
\(68\) 22106.9 9780.89i 0.579770 0.256511i
\(69\) −7196.62 + 7196.62i −0.181973 + 0.181973i
\(70\) 21100.0 + 922.988i 0.514680 + 0.0225139i
\(71\) 50085.0i 1.17913i 0.807721 + 0.589565i \(0.200701\pi\)
−0.807721 + 0.589565i \(0.799299\pi\)
\(72\) 42243.7 + 6842.41i 0.960353 + 0.155553i
\(73\) 56678.1 1.24483 0.622413 0.782689i \(-0.286153\pi\)
0.622413 + 0.782689i \(0.286153\pi\)
\(74\) −15053.4 71229.4i −0.319563 1.51210i
\(75\) 2228.41 + 7708.25i 0.0457448 + 0.158235i
\(76\) −31149.4 + 80584.4i −0.618608 + 1.60036i
\(77\) −14376.9 + 14376.9i −0.276337 + 0.276337i
\(78\) −7081.09 + 10876.1i −0.131784 + 0.202413i
\(79\) 48495.1 0.874239 0.437120 0.899403i \(-0.355999\pi\)
0.437120 + 0.899403i \(0.355999\pi\)
\(80\) −11613.4 + 56052.9i −0.202877 + 0.979204i
\(81\) −54286.3 −0.919343
\(82\) 15074.3 23153.2i 0.247572 0.380256i
\(83\) 57382.7 57382.7i 0.914293 0.914293i −0.0823134 0.996606i \(-0.526231\pi\)
0.996606 + 0.0823134i \(0.0262308\pi\)
\(84\) 5118.52 + 1978.53i 0.0791491 + 0.0305946i
\(85\) −21472.9 36363.5i −0.322362 0.545907i
\(86\) −10124.9 47908.5i −0.147619 0.698500i
\(87\) −2130.48 −0.0301773
\(88\) −32234.9 44695.7i −0.443731 0.615260i
\(89\) 41470.4i 0.554962i −0.960731 0.277481i \(-0.910501\pi\)
0.960731 0.277481i \(-0.0894995\pi\)
\(90\) 3267.07 74687.1i 0.0425160 0.971940i
\(91\) 42197.3 42197.3i 0.534172 0.534172i
\(92\) 51320.2 + 115995.i 0.632148 + 1.42879i
\(93\) −8524.07 + 8524.07i −0.102197 + 0.102197i
\(94\) 54996.9 84471.9i 0.641976 0.986036i
\(95\) 146160. + 37630.4i 1.66157 + 0.427790i
\(96\) −7511.71 + 12837.1i −0.0831881 + 0.142164i
\(97\) 5473.40i 0.0590647i −0.999564 0.0295324i \(-0.990598\pi\)
0.999564 0.0295324i \(-0.00940181\pi\)
\(98\) 58529.7 + 38106.8i 0.615618 + 0.400809i
\(99\) 50889.5 + 50889.5i 0.521844 + 0.521844i
\(100\) 99618.0 + 8731.98i 0.996180 + 0.0873198i
\(101\) −130838. + 130838.i −1.27624 + 1.27624i −0.333481 + 0.942757i \(0.608223\pi\)
−0.942757 + 0.333481i \(0.891777\pi\)
\(102\) −2268.80 10735.5i −0.0215922 0.102169i
\(103\) −151457. −1.40668 −0.703342 0.710852i \(-0.748310\pi\)
−0.703342 + 0.710852i \(0.748310\pi\)
\(104\) 94611.9 + 131185.i 0.857753 + 1.18933i
\(105\) 2390.19 9283.70i 0.0211573 0.0821765i
\(106\) 1954.85 + 9249.88i 0.0168985 + 0.0799597i
\(107\) −109508. 109508.i −0.924669 0.924669i 0.0726858 0.997355i \(-0.476843\pi\)
−0.997355 + 0.0726858i \(0.976843\pi\)
\(108\) 14202.0 36741.0i 0.117163 0.303104i
\(109\) 15125.6 + 15125.6i 0.121940 + 0.121940i 0.765443 0.643503i \(-0.222520\pi\)
−0.643503 + 0.765443i \(0.722520\pi\)
\(110\) −70981.7 + 65032.0i −0.559325 + 0.512443i
\(111\) −33045.1 −0.254566
\(112\) 45999.1 50610.2i 0.346501 0.381235i
\(113\) 73302.7i 0.540037i 0.962855 + 0.270019i \(0.0870299\pi\)
−0.962855 + 0.270019i \(0.912970\pi\)
\(114\) 32863.3 + 21396.3i 0.236837 + 0.154197i
\(115\) 190799. 112668.i 1.34534 0.794432i
\(116\) −9573.12 + 24765.9i −0.0660554 + 0.170887i
\(117\) −149365. 149365.i −1.00875 1.00875i
\(118\) −130381. + 27554.3i −0.862003 + 0.182173i
\(119\) 50454.1i 0.326609i
\(120\) 23802.6 + 10418.1i 0.150894 + 0.0660445i
\(121\) 68375.4i 0.424558i
\(122\) 64553.4 + 305452.i 0.392663 + 1.85799i
\(123\) −8867.34 8867.34i −0.0528483 0.0528483i
\(124\) 60786.5 + 137391.i 0.355020 + 0.802422i
\(125\) −5141.02 174617.i −0.0294289 0.999567i
\(126\) −48732.8 + 74850.6i −0.273461 + 0.420019i
\(127\) 95791.2i 0.527007i −0.964658 0.263503i \(-0.915122\pi\)
0.964658 0.263503i \(-0.0848780\pi\)
\(128\) 115473. + 145003.i 0.622952 + 0.782260i
\(129\) −22226.0 −0.117594
\(130\) 208337. 190874.i 1.08120 0.990576i
\(131\) −58638.1 58638.1i −0.298540 0.298540i 0.541902 0.840442i \(-0.317704\pi\)
−0.840442 + 0.541902i \(0.817704\pi\)
\(132\) −22874.3 + 10120.4i −0.114265 + 0.0505548i
\(133\) −127504. 127504.i −0.625019 0.625019i
\(134\) 44577.3 9420.86i 0.214463 0.0453240i
\(135\) −66638.9 17156.9i −0.314698 0.0810223i
\(136\) −134989. 21864.9i −0.625824 0.101368i
\(137\) 49131.8 0.223646 0.111823 0.993728i \(-0.464331\pi\)
0.111823 + 0.993728i \(0.464331\pi\)
\(138\) 56328.8 11904.4i 0.251787 0.0532119i
\(139\) 34482.0 34482.0i 0.151375 0.151375i −0.627357 0.778732i \(-0.715863\pi\)
0.778732 + 0.627357i \(0.215863\pi\)
\(140\) −97178.8 69500.3i −0.419036 0.299686i
\(141\) −32351.6 32351.6i −0.137040 0.137040i
\(142\) 154586. 237435.i 0.643354 0.988152i
\(143\) 272010.i 1.11236i
\(144\) −179143. 162822.i −0.719937 0.654344i
\(145\) 44919.1 + 11564.9i 0.177424 + 0.0456797i
\(146\) −268691. 174936.i −1.04321 0.679198i
\(147\) 22416.1 22416.1i 0.0855591 0.0855591i
\(148\) −148485. + 384135.i −0.557222 + 1.44155i
\(149\) −114886. + 114886.i −0.423938 + 0.423938i −0.886557 0.462619i \(-0.846910\pi\)
0.462619 + 0.886557i \(0.346910\pi\)
\(150\) 13227.2 43419.9i 0.0480000 0.157565i
\(151\) 112578.i 0.401800i −0.979612 0.200900i \(-0.935613\pi\)
0.979612 0.200900i \(-0.0643867\pi\)
\(152\) 396390. 285880.i 1.39160 1.00363i
\(153\) 178591. 0.616780
\(154\) 112530. 23781.7i 0.382354 0.0808057i
\(155\) 225993. 133450.i 0.755554 0.446159i
\(156\) 67137.8 29704.1i 0.220880 0.0977250i
\(157\) −218623. + 218623.i −0.707860 + 0.707860i −0.966085 0.258225i \(-0.916862\pi\)
0.258225 + 0.966085i \(0.416862\pi\)
\(158\) −229898. 149679.i −0.732643 0.477000i
\(159\) 4291.26 0.0134614
\(160\) 228061. 229882.i 0.704289 0.709913i
\(161\) −264732. −0.804900
\(162\) 257352. + 167553.i 0.770442 + 0.501610i
\(163\) 194909. 194909.i 0.574596 0.574596i −0.358813 0.933409i \(-0.616819\pi\)
0.933409 + 0.358813i \(0.116819\pi\)
\(164\) −142923. + 63234.4i −0.414948 + 0.183588i
\(165\) 22218.3 + 37625.8i 0.0635331 + 0.107591i
\(166\) −449141. + 94920.2i −1.26506 + 0.267355i
\(167\) −241326. −0.669596 −0.334798 0.942290i \(-0.608668\pi\)
−0.334798 + 0.942290i \(0.608668\pi\)
\(168\) −18158.4 25177.7i −0.0496368 0.0688245i
\(169\) 427077.i 1.15024i
\(170\) −10439.9 + 238662.i −0.0277060 + 0.633375i
\(171\) −451321. + 451321.i −1.18031 + 1.18031i
\(172\) −99870.2 + 258367.i −0.257404 + 0.665911i
\(173\) −98095.6 + 98095.6i −0.249192 + 0.249192i −0.820639 0.571447i \(-0.806382\pi\)
0.571447 + 0.820639i \(0.306382\pi\)
\(174\) 10099.9 + 6575.69i 0.0252896 + 0.0164653i
\(175\) −100790. + 182763.i −0.248783 + 0.451121i
\(176\) 14861.8 + 311378.i 0.0361650 + 0.757717i
\(177\) 60487.0i 0.145121i
\(178\) −127997. + 196596.i −0.302797 + 0.465077i
\(179\) −65528.8 65528.8i −0.152862 0.152862i 0.626533 0.779395i \(-0.284473\pi\)
−0.779395 + 0.626533i \(0.784473\pi\)
\(180\) −246008. + 343981.i −0.565937 + 0.791322i
\(181\) 150608. 150608.i 0.341706 0.341706i −0.515303 0.857008i \(-0.672320\pi\)
0.857008 + 0.515303i \(0.172320\pi\)
\(182\) −330283. + 69801.2i −0.739108 + 0.156201i
\(183\) 141707. 0.312798
\(184\) 114725. 708288.i 0.249811 1.54229i
\(185\) 696724. + 179379.i 1.49669 + 0.385339i
\(186\) 66718.9 14100.2i 0.141406 0.0298843i
\(187\) −162617. 162617.i −0.340065 0.340065i
\(188\) −521441. + 230704.i −1.07600 + 0.476059i
\(189\) 58133.0 + 58133.0i 0.118377 + 0.118377i
\(190\) −576745. 629511.i −1.15904 1.26508i
\(191\) 432078. 0.856995 0.428498 0.903543i \(-0.359043\pi\)
0.428498 + 0.903543i \(0.359043\pi\)
\(192\) 75231.8 37671.5i 0.147282 0.0737496i
\(193\) 446187.i 0.862231i 0.902297 + 0.431115i \(0.141880\pi\)
−0.902297 + 0.431115i \(0.858120\pi\)
\(194\) −16893.5 + 25947.4i −0.0322267 + 0.0494983i
\(195\) −65212.3 110434.i −0.122813 0.207978i
\(196\) −159852. 361301.i −0.297221 0.671783i
\(197\) −409391. 409391.i −0.751576 0.751576i 0.223197 0.974773i \(-0.428351\pi\)
−0.974773 + 0.223197i \(0.928351\pi\)
\(198\) −84179.5 398318.i −0.152596 0.722050i
\(199\) 153658.i 0.275056i 0.990498 + 0.137528i \(0.0439157\pi\)
−0.990498 + 0.137528i \(0.956084\pi\)
\(200\) −445302. 348864.i −0.787190 0.616710i
\(201\) 20680.6i 0.0361054i
\(202\) 1.02409e6 216428.i 1.76587 0.373194i
\(203\) −39185.6 39185.6i −0.0667400 0.0667400i
\(204\) −22379.1 + 57895.5i −0.0376503 + 0.0974023i
\(205\) 138824. + 235094.i 0.230718 + 0.390712i
\(206\) 718003. + 467469.i 1.17885 + 0.767511i
\(207\) 937064.i 1.52000i
\(208\) −43620.4 913919.i −0.0699087 1.46470i
\(209\) 821906. 1.30154
\(210\) −39985.0 + 36633.4i −0.0625674 + 0.0573230i
\(211\) −266226. 266226.i −0.411665 0.411665i 0.470653 0.882318i \(-0.344018\pi\)
−0.882318 + 0.470653i \(0.844018\pi\)
\(212\) 19282.3 49883.9i 0.0294659 0.0762291i
\(213\) −90934.3 90934.3i −0.137334 0.137334i
\(214\) 181144. + 857132.i 0.270389 + 1.27942i
\(215\) 468613. + 120649.i 0.691382 + 0.178004i
\(216\) −180727. + 130342.i −0.263565 + 0.190085i
\(217\) −313563. −0.452039
\(218\) −25020.2 118390.i −0.0356573 0.168722i
\(219\) −102905. + 102905.i −0.144986 + 0.144986i
\(220\) 537218. 89209.8i 0.748332 0.124267i
\(221\) 477293. + 477293.i 0.657362 + 0.657362i
\(222\) 156655. + 101993.i 0.213335 + 0.138896i
\(223\) 976009.i 1.31429i 0.753763 + 0.657146i \(0.228236\pi\)
−0.753763 + 0.657146i \(0.771764\pi\)
\(224\) −374272. + 97949.3i −0.498388 + 0.130431i
\(225\) 646920. + 356762.i 0.851911 + 0.469810i
\(226\) 226247. 347502.i 0.294654 0.452570i
\(227\) 788265. 788265.i 1.01533 1.01533i 0.0154498 0.999881i \(-0.495082\pi\)
0.999881 0.0154498i \(-0.00491801\pi\)
\(228\) −89754.2 202864.i −0.114345 0.258445i
\(229\) 654476. 654476.i 0.824717 0.824717i −0.162063 0.986780i \(-0.551815\pi\)
0.986780 + 0.162063i \(0.0518148\pi\)
\(230\) −1.25226e6 54778.1i −1.56090 0.0682790i
\(231\) 52205.4i 0.0643703i
\(232\) 121822. 87859.1i 0.148596 0.107168i
\(233\) 1.58630e6 1.91424 0.957118 0.289697i \(-0.0935546\pi\)
0.957118 + 0.289697i \(0.0935546\pi\)
\(234\) 247073. + 1.16909e6i 0.294976 + 1.39576i
\(235\) 506486. + 857715.i 0.598271 + 1.01315i
\(236\) 703134. + 271792.i 0.821785 + 0.317656i
\(237\) −88047.7 + 88047.7i −0.101823 + 0.101823i
\(238\) 155725. 239185.i 0.178204 0.273710i
\(239\) −1.41494e6 −1.60229 −0.801147 0.598467i \(-0.795777\pi\)
−0.801147 + 0.598467i \(0.795777\pi\)
\(240\) −80684.4 122855.i −0.0904194 0.137678i
\(241\) 857282. 0.950782 0.475391 0.879775i \(-0.342307\pi\)
0.475391 + 0.879775i \(0.342307\pi\)
\(242\) 211039. 324143.i 0.231646 0.355794i
\(243\) 310072. 310072.i 0.336858 0.336858i
\(244\) 636746. 1.64728e6i 0.684686 1.77130i
\(245\) −594302. + 350939.i −0.632546 + 0.373522i
\(246\) 14668.0 + 69405.7i 0.0154538 + 0.0731236i
\(247\) −2.41236e6 −2.51593
\(248\) 135886. 838935.i 0.140296 0.866162i
\(249\) 208368.i 0.212977i
\(250\) −514580. + 843665.i −0.520718 + 0.853728i
\(251\) 618043. 618043.i 0.619205 0.619205i −0.326123 0.945327i \(-0.605742\pi\)
0.945327 + 0.326123i \(0.105742\pi\)
\(252\) 462049. 204427.i 0.458339 0.202786i
\(253\) 853250. 853250.i 0.838060 0.838060i
\(254\) −295657. + 454111.i −0.287544 + 0.441650i
\(255\) 105008. + 27035.4i 0.101128 + 0.0260365i
\(256\) −99867.4 1.04381e6i −0.0952410 0.995454i
\(257\) 860805.i 0.812965i 0.913659 + 0.406482i \(0.133245\pi\)
−0.913659 + 0.406482i \(0.866755\pi\)
\(258\) 105365. + 68600.0i 0.0985482 + 0.0641616i
\(259\) −607793. 607793.i −0.562997 0.562997i
\(260\) −1.57678e6 + 261838.i −1.44656 + 0.240214i
\(261\) −138704. + 138704.i −0.126034 + 0.126034i
\(262\) 96997.0 + 458968.i 0.0872982 + 0.413075i
\(263\) 16274.1 0.0145080 0.00725398 0.999974i \(-0.497691\pi\)
0.00725398 + 0.999974i \(0.497691\pi\)
\(264\) 139675. + 22623.8i 0.123342 + 0.0199782i
\(265\) −90476.8 23294.3i −0.0791449 0.0203767i
\(266\) 210912. + 997986.i 0.182766 + 0.864809i
\(267\) 75293.6 + 75293.6i 0.0646368 + 0.0646368i
\(268\) −240402. 92926.0i −0.204457 0.0790315i
\(269\) 298521. + 298521.i 0.251533 + 0.251533i 0.821599 0.570066i \(-0.193082\pi\)
−0.570066 + 0.821599i \(0.693082\pi\)
\(270\) 262957. + 287014.i 0.219520 + 0.239604i
\(271\) −228547. −0.189039 −0.0945196 0.995523i \(-0.530132\pi\)
−0.0945196 + 0.995523i \(0.530132\pi\)
\(272\) 572451. + 520295.i 0.469155 + 0.426410i
\(273\) 153227.i 0.124431i
\(274\) −232916. 151644.i −0.187423 0.122025i
\(275\) −264206. 913909.i −0.210674 0.728738i
\(276\) −303777. 117423.i −0.240039 0.0927857i
\(277\) −1.67652e6 1.67652e6i −1.31284 1.31284i −0.919317 0.393519i \(-0.871258\pi\)
−0.393519 0.919317i \(1.37126\pi\)
\(278\) −269894. + 57038.8i −0.209451 + 0.0442648i
\(279\) 1.10991e6i 0.853645i
\(280\) 246179. + 629416.i 0.187653 + 0.479780i
\(281\) 951097.i 0.718553i −0.933231 0.359277i \(-0.883023\pi\)
0.933231 0.359277i \(-0.116977\pi\)
\(282\) 53514.8 + 253220.i 0.0400729 + 0.189616i
\(283\) −302270. 302270.i −0.224351 0.224351i 0.585977 0.810328i \(-0.300711\pi\)
−0.810328 + 0.585977i \(0.800711\pi\)
\(284\) −1.46567e6 + 648466.i −1.07830 + 0.477080i
\(285\) −333689. + 197046.i −0.243349 + 0.143699i
\(286\) 839552. 1.28950e6i 0.606922 0.932194i
\(287\) 326190.i 0.233758i
\(288\) 346708. + 1.32480e6i 0.246311 + 0.941172i
\(289\) 849172. 0.598068
\(290\) −177251. 193467.i −0.123764 0.135087i
\(291\) 9937.51 + 9937.51i 0.00687931 + 0.00687931i
\(292\) 733830. + 1.65861e6i 0.503661 + 1.13838i
\(293\) −891830. 891830.i −0.606894 0.606894i 0.335239 0.942133i \(-0.391183\pi\)
−0.942133 + 0.335239i \(0.891183\pi\)
\(294\) −175453. + 37079.8i −0.118384 + 0.0250190i
\(295\) 328342. 1.27531e6i 0.219670 0.853218i
\(296\) 1.88954e6 1.36275e6i 1.25351 0.904038i
\(297\) −374733. −0.246508
\(298\) 899229. 190041.i 0.586583 0.123967i
\(299\) −2.50435e6 + 2.50435e6i −1.62001 + 1.62001i
\(300\) −196720. + 165013.i −0.126196 + 0.105856i
\(301\) −408798. 408798.i −0.260071 0.260071i
\(302\) −347469. + 533691.i −0.219229 + 0.336723i
\(303\) 475100.i 0.297289i
\(304\) −2.76150e6 + 131804.i −1.71381 + 0.0817982i
\(305\) −2.98775e6 769229.i −1.83905 0.473485i
\(306\) −846634. 551216.i −0.516883 0.336526i
\(307\) −1.35818e6 + 1.35818e6i −0.822451 + 0.822451i −0.986459 0.164008i \(-0.947558\pi\)
0.164008 + 0.986459i \(0.447558\pi\)
\(308\) −606865. 234580.i −0.364515 0.140901i
\(309\) 274985. 274985.i 0.163837 0.163837i
\(310\) −1.48324e6 64882.1i −0.876612 0.0383461i
\(311\) 923803.i 0.541599i 0.962636 + 0.270800i \(0.0872881\pi\)
−0.962636 + 0.270800i \(0.912712\pi\)
\(312\) −409957. 66402.6i −0.238425 0.0386188i
\(313\) −791901. −0.456888 −0.228444 0.973557i \(-0.573364\pi\)
−0.228444 + 0.973557i \(0.573364\pi\)
\(314\) 1.71119e6 361638.i 0.979432 0.206990i
\(315\) −448798. 760022.i −0.254844 0.431569i
\(316\) 627882. + 1.41915e6i 0.353721 + 0.799485i
\(317\) 276824. 276824.i 0.154723 0.154723i −0.625500 0.780224i \(-0.715105\pi\)
0.780224 + 0.625500i \(0.215105\pi\)
\(318\) −20343.3 13244.9i −0.0112812 0.00734479i
\(319\) 252596. 0.138979
\(320\) −1.79068e6 + 385884.i −0.977559 + 0.210660i
\(321\) 397645. 0.215394
\(322\) 1.25500e6 + 817089.i 0.674534 + 0.439167i
\(323\) 1.44219e6 1.44219e6i 0.769160 0.769160i
\(324\) −702862. 1.58862e6i −0.371970 0.840732i
\(325\) 775464. + 2.68239e6i 0.407243 + 1.40869i
\(326\) −1.52557e6 + 322411.i −0.795041 + 0.168022i
\(327\) −54924.0 −0.0284049
\(328\) 872720. + 141358.i 0.447909 + 0.0725499i
\(329\) 1.19007e6i 0.606155i
\(330\) 10802.3 246946.i 0.00546048 0.124830i
\(331\) 2.00251e6 2.00251e6i 1.00463 1.00463i 0.00463803 0.999989i \(-0.498524\pi\)
0.999989 0.00463803i \(-0.00147634\pi\)
\(332\) 2.42218e6 + 936280.i 1.20604 + 0.466187i
\(333\) −2.15139e6 + 2.15139e6i −1.06318 + 1.06318i
\(334\) 1.14404e6 + 744847.i 0.561144 + 0.365343i
\(335\) −112260. + 436029.i −0.0546531 + 0.212277i
\(336\) 8371.84 + 175404.i 0.00404550 + 0.0847599i
\(337\) 1.19366e6i 0.572542i −0.958149 0.286271i \(-0.907584\pi\)
0.958149 0.286271i \(-0.0924157\pi\)
\(338\) −1.31816e6 + 2.02462e6i −0.627591 + 0.963942i
\(339\) −133088. 133088.i −0.0628986 0.0628986i
\(340\) 786117. 1.09919e6i 0.368799 0.515673i
\(341\) 1.01064e6 1.01064e6i 0.470661 0.470661i
\(342\) 3.53254e6 746558.i 1.63313 0.345142i
\(343\) 1.94709e6 0.893617
\(344\) 1.27089e6 916578.i 0.579046 0.417612i
\(345\) −141855. + 550975.i −0.0641646 + 0.249221i
\(346\) 767806. 162266.i 0.344795 0.0728681i
\(347\) −1.73877e6 1.73877e6i −0.775209 0.775209i 0.203803 0.979012i \(-0.434670\pi\)
−0.979012 + 0.203803i \(0.934670\pi\)
\(348\) −27584.1 62346.0i −0.0122098 0.0275969i
\(349\) −717557. 717557.i −0.315350 0.315350i 0.531628 0.846978i \(-0.321580\pi\)
−0.846978 + 0.531628i \(0.821580\pi\)
\(350\) 1.04190e6 555328.i 0.454628 0.242315i
\(351\) 1.09987e6 0.476512
\(352\) 890608. 1.52200e6i 0.383116 0.654725i
\(353\) 3.03453e6i 1.29615i −0.761578 0.648074i \(-0.775575\pi\)
0.761578 0.648074i \(-0.224425\pi\)
\(354\) 186692. 286747.i 0.0791803 0.121616i
\(355\) 1.42364e6 + 2.41088e6i 0.599555 + 1.01532i
\(356\) 1.21358e6 536930.i 0.507508 0.224539i
\(357\) −91604.4 91604.4i −0.0380405 0.0380405i
\(358\) 108395. + 512902.i 0.0446995 + 0.211508i
\(359\) 512652.i 0.209936i −0.994476 0.104968i \(-0.966526\pi\)
0.994476 0.104968i \(-0.0334740\pi\)
\(360\) 2.22792e6 871391.i 0.906033 0.354370i
\(361\) 4.81309e6i 1.94382i
\(362\) −1.17883e6 + 249130.i −0.472802 + 0.0999207i
\(363\) −124142. 124142.i −0.0494486 0.0494486i
\(364\) 1.78119e6 + 688509.i 0.704624 + 0.272368i
\(365\) 2.72824e6 1.61105e6i 1.07189 0.632959i
\(366\) −671782. 437375.i −0.262135 0.170668i
\(367\) 2.92644e6i 1.13416i −0.823663 0.567080i \(-0.808073\pi\)
0.823663 0.567080i \(-0.191927\pi\)
\(368\) −2.72998e6 + 3.00364e6i −1.05085 + 1.15619i
\(369\) −1.15461e6 −0.441436
\(370\) −2.74927e6 3.00079e6i −1.04403 1.13955i
\(371\) 78928.2 + 78928.2i 0.0297713 + 0.0297713i
\(372\) −359810. 139082.i −0.134808 0.0521092i
\(373\) 2.04904e6 + 2.04904e6i 0.762567 + 0.762567i 0.976786 0.214219i \(-0.0687205\pi\)
−0.214219 + 0.976786i \(0.568720\pi\)
\(374\) 268995. + 1.27282e6i 0.0994409 + 0.470532i
\(375\) 326369. + 307701.i 0.119848 + 0.112993i
\(376\) 3.18403e6 + 515732.i 1.16147 + 0.188128i
\(377\) −741388. −0.268653
\(378\) −96161.4 455014.i −0.0346155 0.163793i
\(379\) −265407. + 265407.i −0.0949106 + 0.0949106i −0.752968 0.658057i \(-0.771378\pi\)
0.658057 + 0.752968i \(0.271378\pi\)
\(380\) 791169. + 4.76439e6i 0.281067 + 1.69258i
\(381\) 173918. + 173918.i 0.0613809 + 0.0613809i
\(382\) −2.04832e6 1.33360e6i −0.718192 0.467591i
\(383\) 865077.i 0.301341i 0.988584 + 0.150670i \(0.0481432\pi\)
−0.988584 + 0.150670i \(0.951857\pi\)
\(384\) −472919. 53614.5i −0.163666 0.0185547i
\(385\) −283387. + 1.10070e6i −0.0974380 + 0.378457i
\(386\) 1.37715e6 2.11521e6i 0.470448 0.722579i
\(387\) −1.44701e6 + 1.44701e6i −0.491127 + 0.491127i
\(388\) 160172. 70865.9i 0.0540142 0.0238978i
\(389\) 2.34562e6 2.34562e6i 0.785928 0.785928i −0.194896 0.980824i \(-0.562437\pi\)
0.980824 + 0.194896i \(0.0624368\pi\)
\(390\) −31705.5 + 724806.i −0.0105554 + 0.241302i
\(391\) 2.99438e6i 0.990524i
\(392\) −357345. + 2.20618e6i −0.117455 + 0.725146i
\(393\) 212927. 0.0695423
\(394\) 677200. + 3.20435e6i 0.219774 + 1.03992i
\(395\) 2.33435e6 1.37845e6i 0.752789 0.444527i
\(396\) −830335. + 2.14810e6i −0.266082 + 0.688362i
\(397\) 42359.3 42359.3i 0.0134888 0.0134888i −0.700330 0.713819i \(-0.746964\pi\)
0.713819 + 0.700330i \(0.246964\pi\)
\(398\) 474261. 728435.i 0.150075 0.230507i
\(399\) 462991. 0.145593
\(400\) 1.03426e6 + 3.02825e6i 0.323205 + 0.946329i
\(401\) −1.38642e6 −0.430561 −0.215280 0.976552i \(-0.569067\pi\)
−0.215280 + 0.976552i \(0.569067\pi\)
\(402\) −63830.1 + 98039.1i −0.0196997 + 0.0302576i
\(403\) −2.96629e6 + 2.96629e6i −0.909811 + 0.909811i
\(404\) −5.52283e6 2.13481e6i −1.68348 0.650739i
\(405\) −2.61311e6 + 1.54306e6i −0.791627 + 0.467461i
\(406\) 64819.3 + 306710.i 0.0195159 + 0.0923449i
\(407\) 3.91792e6 1.17238
\(408\) 284785. 205389.i 0.0846966 0.0610839i
\(409\) 2.44842e6i 0.723732i −0.932230 0.361866i \(-0.882140\pi\)
0.932230 0.361866i \(-0.117860\pi\)
\(410\) 67495.0 1.54297e6i 0.0198295 0.453314i
\(411\) −89203.7 + 89203.7i −0.0260482 + 0.0260482i
\(412\) −1.96096e6 4.43220e6i −0.569149 1.28640i
\(413\) −1.11253e6 + 1.11253e6i −0.320948 + 0.320948i
\(414\) 2.89223e6 4.44228e6i 0.829338 1.27381i
\(415\) 1.13108e6 4.39323e6i 0.322385 1.25217i
\(416\) −2.61400e6 + 4.46719e6i −0.740581 + 1.26561i
\(417\) 125211.i 0.0352616i
\(418\) −3.89636e6 2.53679e6i −1.09073 0.710141i
\(419\) 3.79954e6 + 3.79954e6i 1.05730 + 1.05730i 0.998256 + 0.0590396i \(0.0188038\pi\)
0.0590396 + 0.998256i \(0.481196\pi\)
\(420\) 302622. 50253.1i 0.0837101 0.0139008i
\(421\) −3.49666e6 + 3.49666e6i −0.961498 + 0.961498i −0.999286 0.0377883i \(-0.987969\pi\)
0.0377883 + 0.999286i \(0.487969\pi\)
\(422\) 440380. + 2.08378e6i 0.120378 + 0.569601i
\(423\) −4.21246e6 −1.14468
\(424\) −245376. + 176967.i −0.0662854 + 0.0478055i
\(425\) −2.06723e6 1.14003e6i −0.555157 0.306157i
\(426\) 150420. + 711753.i 0.0401589 + 0.190023i
\(427\) 2.60639e6 + 2.60639e6i 0.691782 + 0.691782i
\(428\) 1.78678e6 4.62245e6i 0.471478 1.21973i
\(429\) −493861. 493861.i −0.129557 0.129557i
\(430\) −1.84914e6 2.01832e6i −0.482280 0.526403i
\(431\) 3.95495e6 1.02553 0.512765 0.858529i \(-0.328621\pi\)
0.512765 + 0.858529i \(0.328621\pi\)
\(432\) 1.25906e6 60093.5i 0.324591 0.0154924i
\(433\) 4.20674e6i 1.07827i 0.842221 + 0.539133i \(0.181248\pi\)
−0.842221 + 0.539133i \(0.818752\pi\)
\(434\) 1.48649e6 + 967805.i 0.378824 + 0.246640i
\(435\) −102552. + 60557.9i −0.0259850 + 0.0153443i
\(436\) −246795. + 638467.i −0.0621757 + 0.160850i
\(437\) 7.56717e6 + 7.56717e6i 1.89553 + 1.89553i
\(438\) 805448. 170221.i 0.200610 0.0423963i
\(439\) 4.79154e6i 1.18663i 0.804972 + 0.593313i \(0.202180\pi\)
−0.804972 + 0.593313i \(0.797820\pi\)
\(440\) −2.82210e6 1.23520e6i −0.694930 0.304163i
\(441\) 2.91877e6i 0.714667i
\(442\) −789521. 3.73583e6i −0.192224 0.909560i
\(443\) 2.31516e6 + 2.31516e6i 0.560494 + 0.560494i 0.929448 0.368954i \(-0.120284\pi\)
−0.368954 + 0.929448i \(0.620284\pi\)
\(444\) −427846. 967025.i −0.102998 0.232799i
\(445\) −1.17877e6 1.99621e6i −0.282183 0.477865i
\(446\) 3.01243e6 4.62691e6i 0.717100 1.10142i
\(447\) 417175.i 0.0987529i
\(448\) 2.07661e6 + 690840.i 0.488832 + 0.162623i
\(449\) 2.66476e6 0.623796 0.311898 0.950116i \(-0.399035\pi\)
0.311898 + 0.950116i \(0.399035\pi\)
\(450\) −1.96568e6 3.68798e6i −0.457595 0.858534i
\(451\) 1.05133e6 + 1.05133e6i 0.243388 + 0.243388i
\(452\) −2.14511e6 + 949073.i −0.493860 + 0.218501i
\(453\) 204396. + 204396.i 0.0467980 + 0.0467980i
\(454\) −6.16984e6 + 1.30392e6i −1.40486 + 0.296900i
\(455\) 831763. 3.23064e6i 0.188352 0.731576i
\(456\) −200643. + 1.23873e6i −0.0451867 + 0.278974i
\(457\) −5.79281e6 −1.29747 −0.648737 0.761012i \(-0.724703\pi\)
−0.648737 + 0.761012i \(0.724703\pi\)
\(458\) −5.12266e6 + 1.08261e6i −1.14112 + 0.241162i
\(459\) −657541. + 657541.i −0.145677 + 0.145677i
\(460\) 5.76743e6 + 4.12475e6i 1.27083 + 0.908872i
\(461\) −3.54518e6 3.54518e6i −0.776937 0.776937i 0.202372 0.979309i \(-0.435135\pi\)
−0.979309 + 0.202372i \(0.935135\pi\)
\(462\) −161131. + 247487.i −0.0351216 + 0.0539446i
\(463\) 279304.i 0.0605515i −0.999542 0.0302758i \(-0.990361\pi\)
0.999542 0.0302758i \(-0.00963855\pi\)
\(464\) −848690. + 40507.1i −0.183001 + 0.00873446i
\(465\) −168020. + 652605.i −0.0360354 + 0.139964i
\(466\) −7.52008e6 4.89608e6i −1.60420 1.04444i
\(467\) 1.25030e6 1.25030e6i 0.265291 0.265291i −0.561909 0.827199i \(-0.689933\pi\)
0.827199 + 0.561909i \(0.189933\pi\)
\(468\) 2.43710e6 6.30484e6i 0.514349 1.33064i
\(469\) 380373. 380373.i 0.0798506 0.0798506i
\(470\) 246248. 5.62938e6i 0.0514196 1.17548i
\(471\) 793865.i 0.164890i
\(472\) −2.49443e6 3.45868e6i −0.515366 0.714587i
\(473\) 2.63517e6 0.541571
\(474\) 689160. 145645.i 0.140888 0.0297749i
\(475\) 8.10513e6 2.34315e6i 1.64826 0.476502i
\(476\) −1.47648e6 + 653245.i −0.298682 + 0.132147i
\(477\) 279380. 279380.i 0.0562211 0.0562211i
\(478\) 6.70771e6 + 4.36717e6i 1.34278 + 0.874240i
\(479\) −4.94907e6 −0.985564 −0.492782 0.870153i \(-0.664020\pi\)
−0.492782 + 0.870153i \(0.664020\pi\)
\(480\) 3306.81 + 831441.i 0.000655097 + 0.164713i
\(481\) −1.14994e7 −2.26627
\(482\) −4.06406e6 2.64598e6i −0.796788 0.518763i
\(483\) 480647. 480647.i 0.0937473 0.0937473i
\(484\) −2.00092e6 + 885278.i −0.388255 + 0.171778i
\(485\) −155579. 263466.i −0.0300328 0.0508593i
\(486\) −2.42697e6 + 512910.i −0.466095 + 0.0985032i
\(487\) 3.34367e6 0.638853 0.319427 0.947611i \(-0.396510\pi\)
0.319427 + 0.947611i \(0.396510\pi\)
\(488\) −8.10288e6 + 5.84386e6i −1.54024 + 1.11084i
\(489\) 707753.i 0.133847i
\(490\) 3.90054e6 + 170623.i 0.733895 + 0.0321031i
\(491\) −990957. + 990957.i −0.185503 + 0.185503i −0.793749 0.608246i \(-0.791874\pi\)
0.608246 + 0.793749i \(0.291874\pi\)
\(492\) 144683. 374300.i 0.0269467 0.0697119i
\(493\) 443228. 443228.i 0.0821314 0.0821314i
\(494\) 1.14361e7 + 7.44569e6i 2.10844 + 1.37274i
\(495\) 3.89611e6 + 1.00310e6i 0.714691 + 0.184005i
\(496\) −3.23354e6 + 3.55768e6i −0.590166 + 0.649326i
\(497\) 3.34507e6i 0.607455i
\(498\) 643123. 987797.i 0.116204 0.178482i
\(499\) −3.21493e6 3.21493e6i −0.577990 0.577990i 0.356359 0.934349i \(-0.384018\pi\)
−0.934349 + 0.356359i \(0.884018\pi\)
\(500\) 5.04339e6 2.41127e6i 0.902189 0.431341i
\(501\) 438151. 438151.i 0.0779883 0.0779883i
\(502\) −4.83749e6 + 1.02234e6i −0.856764 + 0.181066i
\(503\) 8.67311e6 1.52846 0.764231 0.644942i \(-0.223119\pi\)
0.764231 + 0.644942i \(0.223119\pi\)
\(504\) −2.82137e6 456990.i −0.494747 0.0801365i
\(505\) −2.57899e6 + 1.00170e7i −0.450009 + 1.74787i
\(506\) −6.67849e6 + 1.41141e6i −1.15958 + 0.245063i
\(507\) 775400. + 775400.i 0.133970 + 0.133970i
\(508\) 2.80321e6 1.24024e6i 0.481943 0.213229i
\(509\) −2.71092e6 2.71092e6i −0.463792 0.463792i 0.436104 0.899896i \(-0.356358\pi\)
−0.899896 + 0.436104i \(0.856358\pi\)
\(510\) −414360. 452269.i −0.0705427 0.0769966i
\(511\) −3.78541e6 −0.641300
\(512\) −2.74826e6 + 5.25656e6i −0.463322 + 0.886190i
\(513\) 3.32337e6i 0.557553i
\(514\) 2.65685e6 4.08076e6i 0.443568 0.681293i
\(515\) −7.29050e6 + 4.30509e6i −1.21126 + 0.715260i
\(516\) −287767. 650416.i −0.0475792 0.107539i
\(517\) 3.83569e6 + 3.83569e6i 0.631127 + 0.631127i
\(518\) 1.00539e6 + 4.75726e6i 0.164630 + 0.778992i
\(519\) 356205.i 0.0580472i
\(520\) 8.28308e6 + 3.62541e6i 1.34333 + 0.587961i
\(521\) 1.54053e6i 0.248643i −0.992242 0.124321i \(-0.960325\pi\)
0.992242 0.124321i \(-0.0396754\pi\)
\(522\) 1.08565e6 229439.i 0.174387 0.0368545i
\(523\) −8.81069e6 8.81069e6i −1.40850 1.40850i −0.767770 0.640726i \(-0.778633\pi\)
−0.640726 0.767770i \(1.27863\pi\)
\(524\) 956765. 2.47518e6i 0.152222 0.393802i
\(525\) −148831. 514818.i −0.0235665 0.0815183i
\(526\) −77149.4 50229.5i −0.0121582 0.00791580i
\(527\) 3.54671e6i 0.556287i
\(528\) −592322. 538356.i −0.0924640 0.0840397i
\(529\) 9.27515e6 1.44106
\(530\) 357021. + 389684.i 0.0552082 + 0.0602592i
\(531\) 3.93797e6 + 3.93797e6i 0.606089 + 0.606089i
\(532\) 2.08040e6 5.38206e6i 0.318690 0.824460i
\(533\) −3.08575e6 3.08575e6i −0.470481 0.470481i
\(534\) −124548. 589332.i −0.0189009 0.0894348i
\(535\) −8.38395e6 2.15854e6i −1.26638 0.326044i
\(536\) 852847. + 1.18253e6i 0.128221 + 0.177786i
\(537\) 237948. 0.0356079
\(538\) −493802. 2.33656e6i −0.0735525 0.348033i
\(539\) −2.65771e6 + 2.65771e6i −0.394035 + 0.394035i
\(540\) −360719. 2.17224e6i −0.0532335 0.320570i
\(541\) 6.94709e6 + 6.94709e6i 1.02049 + 1.02049i 0.999786 + 0.0207067i \(0.00659161\pi\)
0.0207067 + 0.999786i \(0.493408\pi\)
\(542\) 1.08346e6 + 705405.i 0.158421 + 0.103143i
\(543\) 546889.i 0.0795975i
\(544\) −1.10790e6 4.23339e6i −0.160511 0.613325i
\(545\) 1.15802e6 + 298144.i 0.167003 + 0.0429967i
\(546\) 472931. 726393.i 0.0678917 0.104277i
\(547\) −6.35931e6 + 6.35931e6i −0.908744 + 0.908744i −0.996171 0.0874266i \(-0.972136\pi\)
0.0874266 + 0.996171i \(0.472136\pi\)
\(548\) 636125. + 1.43778e6i 0.0904880 + 0.204523i
\(549\) 9.22575e6 9.22575e6i 1.30638 1.30638i
\(550\) −1.56826e6 + 5.14798e6i −0.221060 + 0.725655i
\(551\) 2.24018e6i 0.314343i
\(552\) 1.07767e6 + 1.49426e6i 0.150536 + 0.208727i
\(553\) −3.23889e6 −0.450384
\(554\) 2.77324e6 + 1.31223e7i 0.383896 + 1.81651i
\(555\) −1.59065e6 + 939291.i −0.219201 + 0.129440i
\(556\) 1.45552e6 + 562623.i 0.199679 + 0.0771845i
\(557\) 2.49577e6 2.49577e6i 0.340853 0.340853i −0.515835 0.856688i \(-0.672518\pi\)
0.856688 + 0.515835i \(0.172518\pi\)
\(558\) 3.42571e6 5.26168e6i 0.465763 0.715384i
\(559\) −7.73442e6 −1.04688
\(560\) 775633. 3.74366e6i 0.104517 0.504459i
\(561\) 590495. 0.0792153
\(562\) −2.93554e6 + 4.50881e6i −0.392055 + 0.602172i
\(563\) 589467. 589467.i 0.0783769 0.0783769i −0.666832 0.745208i \(-0.732350\pi\)
0.745208 + 0.666832i \(0.232350\pi\)
\(564\) 527862. 1.36559e6i 0.0698752 0.180769i
\(565\) 2.08359e6 + 3.52848e6i 0.274594 + 0.465014i
\(566\) 500003. + 2.36590e6i 0.0656042 + 0.310424i
\(567\) 3.62567e6 0.473621
\(568\) 8.94971e6 + 1.44963e6i 1.16396 + 0.188532i
\(569\) 6.22577e6i 0.806143i −0.915168 0.403072i \(-0.867943\pi\)
0.915168 0.403072i \(-0.132057\pi\)
\(570\) 2.19008e6 + 95801.6i 0.282340 + 0.0123505i
\(571\) −1.42937e6 + 1.42937e6i −0.183466 + 0.183466i −0.792864 0.609398i \(-0.791411\pi\)
0.609398 + 0.792864i \(0.291411\pi\)
\(572\) −7.96003e6 + 3.52180e6i −1.01724 + 0.450064i
\(573\) −784480. + 784480.i −0.0998149 + 0.0998149i
\(574\) −1.00678e6 + 1.54635e6i −0.127542 + 0.195897i
\(575\) 5.98172e6 1.08467e7i 0.754496 1.36814i
\(576\) 2.44535e6 7.35051e6i 0.307103 0.923126i
\(577\) 4.63591e6i 0.579689i −0.957074 0.289845i \(-0.906396\pi\)
0.957074 0.289845i \(-0.0936036\pi\)
\(578\) −4.02562e6 2.62095e6i −0.501202 0.326316i
\(579\) −810097. 810097.i −0.100425 0.100425i
\(580\) 243149. + 1.46424e6i 0.0300126 + 0.180735i
\(581\) −3.83247e6 + 3.83247e6i −0.471019 + 0.471019i
\(582\) −16438.2 77782.0i −0.00201163 0.00951857i
\(583\) −508782. −0.0619956
\(584\) 1.64045e6 1.01278e7i 0.199036 1.22881i
\(585\) −1.14354e7 2.94417e6i −1.38153 0.355691i
\(586\) 1.47523e6 + 6.98046e6i 0.177466 + 0.839730i
\(587\) 6.80452e6 + 6.80452e6i 0.815084 + 0.815084i 0.985391 0.170307i \(-0.0544761\pi\)
−0.170307 + 0.985391i \(0.554476\pi\)
\(588\) 946207. + 365750.i 0.112861 + 0.0436256i
\(589\) 8.96296e6 + 8.96296e6i 1.06454 + 1.06454i
\(590\) −5.49276e6 + 5.03236e6i −0.649622 + 0.595170i
\(591\) 1.48658e6 0.175073
\(592\) −1.31637e7 + 628290.i −1.54374 + 0.0736811i
\(593\) 1.35010e7i 1.57663i −0.615272 0.788315i \(-0.710954\pi\)
0.615272 0.788315i \(-0.289046\pi\)
\(594\) 1.77648e6 + 1.15661e6i 0.206582 + 0.134499i
\(595\) 1.43413e6 + 2.42864e6i 0.166072 + 0.281236i
\(596\) −4.84948e6 1.87454e6i −0.559216 0.216161i
\(597\) −278981. 278981.i −0.0320360 0.0320360i
\(598\) 1.96019e7 4.14261e6i 2.24153 0.473719i
\(599\) 6.16972e6i 0.702584i 0.936266 + 0.351292i \(0.114258\pi\)
−0.936266 + 0.351292i \(0.885742\pi\)
\(600\) 1.44189e6 175093.i 0.163513 0.0198560i
\(601\) 1.36129e7i 1.53732i 0.639660 + 0.768658i \(0.279075\pi\)
−0.639660 + 0.768658i \(0.720925\pi\)
\(602\) 676218. + 3.19971e6i 0.0760494 + 0.359848i
\(603\) −1.34640e6 1.34640e6i −0.150793 0.150793i
\(604\) 3.29445e6 1.45758e6i 0.367443 0.162570i
\(605\) 1.94354e6 + 3.29130e6i 0.215876 + 0.365577i
\(606\) −1.46639e6 + 2.25228e6i −0.162206 + 0.249138i
\(607\) 7.08789e6i 0.780810i −0.920643 0.390405i \(-0.872335\pi\)
0.920643 0.390405i \(-0.127665\pi\)
\(608\) 1.34981e7 + 7.89848e6i 1.48086 + 0.866532i
\(609\) 142291. 0.0155465
\(610\) 1.17896e7 + 1.28683e7i 1.28285 + 1.40022i
\(611\) −1.12580e7 1.12580e7i −1.22000 1.22000i
\(612\) 2.31227e6 + 5.22624e6i 0.249552 + 0.564041i
\(613\) −2.71263e6 2.71263e6i −0.291568 0.291568i 0.546132 0.837699i \(-0.316100\pi\)
−0.837699 + 0.546132i \(0.816100\pi\)
\(614\) 1.06306e7 2.24664e6i 1.13799 0.240499i
\(615\) −678886. 174787.i −0.0723784 0.0186346i
\(616\) 2.15290e6 + 2.98513e6i 0.228598 + 0.316965i
\(617\) 8.70638e6 0.920714 0.460357 0.887734i \(-0.347721\pi\)
0.460357 + 0.887734i \(0.347721\pi\)
\(618\) −2.15234e6 + 454870.i −0.226694 + 0.0479089i
\(619\) −6.09748e6 + 6.09748e6i −0.639623 + 0.639623i −0.950462 0.310840i \(-0.899390\pi\)
0.310840 + 0.950462i \(0.399390\pi\)
\(620\) 6.83125e6 + 4.88557e6i 0.713709 + 0.510430i
\(621\) −3.45011e6 3.45011e6i −0.359008 0.359008i
\(622\) 2.85130e6 4.37941e6i 0.295506 0.453879i
\(623\) 2.76972e6i 0.285901i
\(624\) 1.73851e6 + 1.58011e6i 0.178737 + 0.162453i
\(625\) −5.21087e6 8.25919e6i −0.533593 0.845742i
\(626\) 3.75412e6 + 2.44418e6i 0.382888 + 0.249286i
\(627\) −1.49225e6 + 1.49225e6i −0.151591 + 0.151591i
\(628\) −9.22832e6 3.56715e6i −0.933735 0.360930i
\(629\) 6.87473e6 6.87473e6i 0.692834 0.692834i
\(630\) −218201. + 4.98820e6i −0.0219031 + 0.500717i
\(631\) 9.47327e6i 0.947167i −0.880749 0.473583i \(-0.842960\pi\)
0.880749 0.473583i \(-0.157040\pi\)
\(632\) 1.40361e6 8.66562e6i 0.139783 0.862992i
\(633\) 966719. 0.0958939
\(634\) −2.16673e6 + 457912.i −0.214083 + 0.0452438i
\(635\) −2.72281e6 4.61098e6i −0.267968 0.453794i
\(636\) 55560.3 + 125578.i 0.00544655 + 0.0123104i
\(637\) 7.80057e6 7.80057e6i 0.761689 0.761689i
\(638\) −1.19747e6 779631.i −0.116469 0.0758294i
\(639\) −1.18404e7 −1.14714
\(640\) 9.67999e6 + 3.69756e6i 0.934168 + 0.356833i
\(641\) 1.17360e7 1.12817 0.564085 0.825717i \(-0.309229\pi\)
0.564085 + 0.825717i \(0.309229\pi\)
\(642\) −1.88509e6 1.22732e6i −0.180507 0.117523i
\(643\) 4.50231e6 4.50231e6i 0.429445 0.429445i −0.458994 0.888439i \(-0.651790\pi\)
0.888439 + 0.458994i \(0.151790\pi\)
\(644\) −3.42757e6 7.74705e6i −0.325665 0.736075i
\(645\) −1.06986e6 + 631762.i −0.101258 + 0.0597935i
\(646\) −1.12882e7 + 2.38562e6i −1.06425 + 0.224916i
\(647\) 6.46776e6 0.607426 0.303713 0.952764i \(-0.401774\pi\)
0.303713 + 0.952764i \(0.401774\pi\)
\(648\) −1.57123e6 + 9.70045e6i −0.146994 + 0.907516i
\(649\) 7.17150e6i 0.668341i
\(650\) 4.60295e6 1.51097e7i 0.427320 1.40273i
\(651\) 569305. 569305.i 0.0526493 0.0526493i
\(652\) 8.22731e6 + 3.18022e6i 0.757947 + 0.292980i
\(653\) −6.64073e6 + 6.64073e6i −0.609442 + 0.609442i −0.942800 0.333358i \(-0.891818\pi\)
0.333358 + 0.942800i \(0.391818\pi\)
\(654\) 260375. + 169522.i 0.0238043 + 0.0154982i
\(655\) −4.48935e6 1.15583e6i −0.408865 0.105267i
\(656\) −3.70095e6 3.36376e6i −0.335779 0.305186i
\(657\) 1.33991e7i 1.21105i
\(658\) −3.67313e6 + 5.64170e6i −0.330728 + 0.507979i
\(659\) 8.98947e6 + 8.98947e6i 0.806345 + 0.806345i 0.984079 0.177734i \(-0.0568767\pi\)
−0.177734 + 0.984079i \(0.556877\pi\)
\(660\) −813404. + 1.13734e6i −0.0726853 + 0.101632i
\(661\) 4.02666e6 4.02666e6i 0.358460 0.358460i −0.504785 0.863245i \(-0.668428\pi\)
0.863245 + 0.504785i \(0.168428\pi\)
\(662\) −1.56739e7 + 3.31248e6i −1.39005 + 0.293770i
\(663\) −1.73315e6 −0.153127
\(664\) −8.59289e6 1.19146e7i −0.756343 1.04872i
\(665\) −9.76170e6 2.51326e6i −0.855996 0.220385i
\(666\) 1.68391e7 3.55874e6i 1.47107 0.310893i
\(667\) 2.32561e6 + 2.32561e6i 0.202406 + 0.202406i
\(668\) −3.12452e6 7.06210e6i −0.270921 0.612340i
\(669\) −1.77204e6 1.77204e6i −0.153077 0.153077i
\(670\) 1.87798e6 1.72057e6i 0.161623 0.148076i
\(671\) −1.68011e7 −1.44056
\(672\) 501692. 857365.i 0.0428562 0.0732390i
\(673\) 9.88304e6i 0.841111i 0.907267 + 0.420555i \(0.138165\pi\)
−0.907267 + 0.420555i \(0.861835\pi\)
\(674\) −3.68422e6 + 5.65873e6i −0.312389 + 0.479810i
\(675\) −3.69539e6 + 1.06831e6i −0.312177 + 0.0902485i
\(676\) 1.24979e7 5.52950e6i 1.05189 0.465392i
\(677\) −1.24254e6 1.24254e6i −0.104193 0.104193i 0.653088 0.757282i \(-0.273473\pi\)
−0.757282 + 0.653088i \(0.773473\pi\)
\(678\) 220150. + 1.04170e6i 0.0183926 + 0.0870297i
\(679\) 365557.i 0.0304285i
\(680\) −7.11931e6 + 2.78452e6i −0.590426 + 0.230929i
\(681\) 2.86235e6i 0.236513i
\(682\) −7.91036e6 + 1.67176e6i −0.651232 + 0.137630i
\(683\) −1.39418e7 1.39418e7i −1.14359 1.14359i −0.987789 0.155796i \(-0.950206\pi\)
−0.155796 0.987789i \(1.45021\pi\)
\(684\) −1.90507e7 7.36394e6i −1.55694 0.601825i
\(685\) 2.36500e6 1.39655e6i 0.192577 0.113718i
\(686\) −9.23047e6 6.00966e6i −0.748882 0.487573i
\(687\) 2.37653e6i 0.192111i
\(688\) −8.85384e6 + 422585.i −0.713117 + 0.0340363i
\(689\) 1.49331e6 0.119840
\(690\) 2.37305e6 2.17414e6i 0.189751 0.173846i
\(691\) 1.13415e6 + 1.13415e6i 0.0903601 + 0.0903601i 0.750842 0.660482i \(-0.229648\pi\)
−0.660482 + 0.750842i \(0.729648\pi\)
\(692\) −4.14072e6 1.60057e6i −0.328708 0.127060i
\(693\) −3.39880e6 3.39880e6i −0.268840 0.268840i
\(694\) 2.87621e6 + 1.36096e7i 0.226685 + 1.07262i
\(695\) 679683. 2.63995e6i 0.0533758 0.207316i
\(696\) −61663.3 + 380697.i −0.00482507 + 0.0297891i
\(697\) 3.68954e6 0.287667
\(698\) 1.18696e6 + 5.61640e6i 0.0922138 + 0.436335i
\(699\) −2.88009e6 + 2.88009e6i −0.222953 + 0.222953i
\(700\) −6.65328e6 583191.i −0.513205 0.0449848i
\(701\) −7.25781e6 7.25781e6i −0.557841 0.557841i 0.370851 0.928692i \(-0.379066\pi\)
−0.928692 + 0.370851i \(0.879066\pi\)
\(702\) −5.21409e6 3.39473e6i −0.399334 0.259993i
\(703\) 3.47466e7i 2.65170i
\(704\) −8.91968e6 + 4.46643e6i −0.678293 + 0.339648i
\(705\) −2.47684e6 637691.i −0.187683 0.0483212i
\(706\) −9.36600e6 + 1.43856e7i −0.707200 + 1.08622i
\(707\) 8.73842e6 8.73842e6i 0.657483 0.657483i
\(708\) −1.77008e6 + 783145.i −0.132712 + 0.0587163i
\(709\) −1.09625e7 + 1.09625e7i −0.819018 + 0.819018i −0.985966 0.166948i \(-0.946609\pi\)
0.166948 + 0.985966i \(0.446609\pi\)
\(710\) 692159. 1.58231e7i 0.0515299 1.17800i
\(711\) 1.14646e7i 0.850520i
\(712\) −7.41036e6 1.20029e6i −0.547822 0.0887332i
\(713\) 1.86095e7 1.37092
\(714\) 151529. + 716998.i 0.0111237 + 0.0526348i
\(715\) 7.73174e6 + 1.30934e7i 0.565603 + 0.957827i
\(716\) 1.06920e6 2.76604e6i 0.0779426 0.201640i
\(717\) 2.56896e6 2.56896e6i 0.186621 0.186621i
\(718\) −1.58229e6 + 2.43030e6i −0.114545 + 0.175933i
\(719\) 7.66850e6 0.553208 0.276604 0.960984i \(-0.410791\pi\)
0.276604 + 0.960984i \(0.410791\pi\)
\(720\) −1.32513e7 2.74549e6i −0.952637 0.197373i
\(721\) 1.01155e7 0.724685
\(722\) 1.48555e7 2.28171e7i 1.06058 1.62899i
\(723\) −1.55648e6 + 1.55648e6i −0.110738 + 0.110738i
\(724\) 6.35733e6 + 2.45739e6i 0.450743 + 0.174232i
\(725\) 2.49094e6 720117.i 0.176002 0.0508813i
\(726\) 205352. + 971677.i 0.0144596 + 0.0684196i
\(727\) −1.70309e7 −1.19509 −0.597547 0.801834i \(-0.703858\pi\)
−0.597547 + 0.801834i \(0.703858\pi\)
\(728\) −6.31893e6 8.76159e6i −0.441891 0.612709i
\(729\) 1.20656e7i 0.840875i
\(730\) −1.79061e7 783274.i −1.24364 0.0544009i
\(731\) 4.62391e6 4.62391e6i 0.320049 0.320049i
\(732\) 1.83473e6 + 4.14688e6i 0.126559 + 0.286051i
\(733\) −1.66431e7 + 1.66431e7i −1.14413 + 1.14413i −0.156440 + 0.987687i \(0.550002\pi\)
−0.987687 + 0.156440i \(0.949998\pi\)
\(734\) −9.03238e6 + 1.38732e7i −0.618817 + 0.950465i
\(735\) 441849. 1.71618e6i 0.0301686 0.117178i
\(736\) 2.22125e7 5.81316e6i 1.51148 0.395565i
\(737\) 2.45194e6i 0.166280i
\(738\) 5.47357e6 + 3.56367e6i 0.369939 + 0.240855i
\(739\) −2.01511e7 2.01511e7i −1.35733 1.35733i −0.877188 0.480147i \(-0.840583\pi\)
−0.480147 0.877188i \(-0.659417\pi\)
\(740\) 3.77140e6 + 2.27112e7i 0.253176 + 1.52462i
\(741\) 4.37988e6 4.37988e6i 0.293033 0.293033i
\(742\) −130560. 617780.i −0.00870563 0.0411931i
\(743\) −7.81496e6 −0.519343 −0.259672 0.965697i \(-0.583614\pi\)
−0.259672 + 0.965697i \(0.583614\pi\)
\(744\) 1.27646e6 + 1.76989e6i 0.0845422 + 0.117223i
\(745\) −2.26456e6 + 8.79573e6i −0.149483 + 0.580605i
\(746\) −3.38944e6 1.60381e7i −0.222988 1.05513i
\(747\) 1.35657e7 + 1.35657e7i 0.889488 + 0.889488i
\(748\) 2.65333e6 6.86424e6i 0.173395 0.448578i
\(749\) 7.31381e6 + 7.31381e6i 0.476364 + 0.476364i
\(750\) −597486. 2.46603e6i −0.0387859 0.160083i
\(751\) 2.06823e7 1.33814 0.669068 0.743202i \(-0.266694\pi\)
0.669068 + 0.743202i \(0.266694\pi\)
\(752\) −1.35025e7 1.22723e7i −0.870704 0.791375i
\(753\) 2.24424e6i 0.144239i
\(754\) 3.51465e6 + 2.28828e6i 0.225141 + 0.146582i
\(755\) −3.19996e6 5.41901e6i −0.204304 0.345982i
\(756\) −948522. + 2.45385e6i −0.0603592 + 0.156151i
\(757\) −2.04197e6 2.04197e6i −0.129512 0.129512i 0.639379 0.768891i \(-0.279191\pi\)
−0.768891 + 0.639379i \(0.779191\pi\)
\(758\) 2.07737e6 439027.i 0.131323 0.0277535i
\(759\) 3.09832e6i 0.195219i
\(760\) 1.09545e7 2.50282e7i 0.687956 1.57179i
\(761\) 1.34863e7i