Properties

Label 80.6.q.a.29.18
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 29.18
Character \(\chi\) \(=\) 80.29
Dual form 80.6.q.a.69.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.40088 - 4.52040i) q^{2} +(8.86425 - 8.86425i) q^{3} +(-8.86807 + 30.7467i) q^{4} +(-48.7561 - 27.3468i) q^{5} +(-70.2162 - 9.92375i) q^{6} -41.3923 q^{7} +(169.146 - 64.4784i) q^{8} +85.8500i q^{9} +O(q^{10})\) \(q+(-3.40088 - 4.52040i) q^{2} +(8.86425 - 8.86425i) q^{3} +(-8.86807 + 30.7467i) q^{4} +(-48.7561 - 27.3468i) q^{5} +(-70.2162 - 9.92375i) q^{6} -41.3923 q^{7} +(169.146 - 64.4784i) q^{8} +85.8500i q^{9} +(42.1948 + 313.400i) q^{10} +(-106.509 + 106.509i) q^{11} +(193.937 + 351.155i) q^{12} +(-143.912 + 143.912i) q^{13} +(140.770 + 187.110i) q^{14} +(-674.595 + 189.777i) q^{15} +(-866.715 - 545.327i) q^{16} +1356.42i q^{17} +(388.077 - 291.965i) q^{18} +(-267.335 - 267.335i) q^{19} +(1273.19 - 1256.57i) q^{20} +(-366.912 + 366.912i) q^{21} +(843.688 + 119.239i) q^{22} +885.820 q^{23} +(927.804 - 2070.91i) q^{24} +(1629.30 + 2666.64i) q^{25} +(1139.97 + 161.113i) q^{26} +(2915.01 + 2915.01i) q^{27} +(367.069 - 1272.67i) q^{28} +(3659.75 + 3659.75i) q^{29} +(3152.08 + 2404.03i) q^{30} +328.037 q^{31} +(482.494 + 5772.49i) q^{32} +1888.25i q^{33} +(6131.58 - 4613.03i) q^{34} +(2018.12 + 1131.95i) q^{35} +(-2639.60 - 761.324i) q^{36} +(-6400.44 - 6400.44i) q^{37} +(-299.288 + 2117.64i) q^{38} +2551.35i q^{39} +(-10010.2 - 1481.90i) q^{40} +14066.4i q^{41} +(2906.41 + 410.767i) q^{42} +(-2588.02 - 2588.02i) q^{43} +(-2330.27 - 4219.33i) q^{44} +(2347.72 - 4185.71i) q^{45} +(-3012.57 - 4004.26i) q^{46} +7426.87i q^{47} +(-12516.7 + 2848.86i) q^{48} -15093.7 q^{49} +(6513.24 - 16434.0i) q^{50} +(12023.7 + 12023.7i) q^{51} +(-3148.60 - 5701.04i) q^{52} +(-26363.7 - 26363.7i) q^{53} +(3263.42 - 23090.6i) q^{54} +(8105.64 - 2280.28i) q^{55} +(-7001.36 + 2668.91i) q^{56} -4739.45 q^{57} +(4097.18 - 28989.9i) q^{58} +(-18259.9 + 18259.9i) q^{59} +(147.342 - 22424.5i) q^{60} +(3175.15 + 3175.15i) q^{61} +(-1115.61 - 1482.86i) q^{62} -3553.53i q^{63} +(24453.1 - 21812.6i) q^{64} +(10952.1 - 3081.05i) q^{65} +(8535.63 - 6421.69i) q^{66} +(-34715.8 + 34715.8i) q^{67} +(-41705.5 - 12028.9i) q^{68} +(7852.14 - 7852.14i) q^{69} +(-1746.54 - 12972.3i) q^{70} +48765.4i q^{71} +(5535.47 + 14521.2i) q^{72} -45646.6 q^{73} +(-7165.44 + 50699.6i) q^{74} +(38080.4 + 9195.24i) q^{75} +(10590.4 - 5848.92i) q^{76} +(4408.65 - 4408.65i) q^{77} +(11533.1 - 8676.82i) q^{78} -52108.5 q^{79} +(27344.6 + 50289.9i) q^{80} +30817.2 q^{81} +(63585.6 - 47838.0i) q^{82} +(-12147.6 + 12147.6i) q^{83} +(-8027.51 - 14535.1i) q^{84} +(37093.8 - 66133.8i) q^{85} +(-2897.35 + 20500.4i) q^{86} +64881.9 q^{87} +(-11148.1 + 24883.2i) q^{88} -20635.8i q^{89} +(-26905.4 + 3622.43i) q^{90} +(5956.85 - 5956.85i) q^{91} +(-7855.51 + 27236.0i) q^{92} +(2907.81 - 2907.81i) q^{93} +(33572.4 - 25257.9i) q^{94} +(5723.44 + 20345.0i) q^{95} +(55445.8 + 46891.9i) q^{96} -95370.9i q^{97} +(51331.8 + 68229.5i) q^{98} +(-9143.80 - 9143.80i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.40088 4.52040i −0.601196 0.799102i
\(3\) 8.86425 8.86425i 0.568642 0.568642i −0.363106 0.931748i \(-0.618284\pi\)
0.931748 + 0.363106i \(0.118284\pi\)
\(4\) −8.86807 + 30.7467i −0.277127 + 0.960833i
\(5\) −48.7561 27.3468i −0.872175 0.489194i
\(6\) −70.2162 9.92375i −0.796268 0.112538i
\(7\) −41.3923 −0.319282 −0.159641 0.987175i \(-0.551034\pi\)
−0.159641 + 0.987175i \(0.551034\pi\)
\(8\) 169.146 64.4784i 0.934411 0.356196i
\(9\) 85.8500i 0.353292i
\(10\) 42.1948 + 313.400i 0.133432 + 0.991058i
\(11\) −106.509 + 106.509i −0.265402 + 0.265402i −0.827244 0.561842i \(-0.810093\pi\)
0.561842 + 0.827244i \(0.310093\pi\)
\(12\) 193.937 + 351.155i 0.388784 + 0.703956i
\(13\) −143.912 + 143.912i −0.236178 + 0.236178i −0.815265 0.579087i \(-0.803409\pi\)
0.579087 + 0.815265i \(0.303409\pi\)
\(14\) 140.770 + 187.110i 0.191951 + 0.255139i
\(15\) −674.595 + 189.777i −0.774132 + 0.217779i
\(16\) −866.715 545.327i −0.846401 0.532546i
\(17\) 1356.42i 1.13834i 0.822219 + 0.569171i \(0.192736\pi\)
−0.822219 + 0.569171i \(0.807264\pi\)
\(18\) 388.077 291.965i 0.282316 0.212398i
\(19\) −267.335 267.335i −0.169892 0.169892i 0.617040 0.786932i \(-0.288332\pi\)
−0.786932 + 0.617040i \(0.788332\pi\)
\(20\) 1273.19 1256.57i 0.711738 0.702446i
\(21\) −366.912 + 366.912i −0.181557 + 0.181557i
\(22\) 843.688 + 119.239i 0.371642 + 0.0525247i
\(23\) 885.820 0.349161 0.174581 0.984643i \(-0.444143\pi\)
0.174581 + 0.984643i \(0.444143\pi\)
\(24\) 927.804 2070.91i 0.328797 0.733894i
\(25\) 1629.30 + 2666.64i 0.521378 + 0.853326i
\(26\) 1139.97 + 161.113i 0.330719 + 0.0467410i
\(27\) 2915.01 + 2915.01i 0.769539 + 0.769539i
\(28\) 367.069 1272.67i 0.0884816 0.306777i
\(29\) 3659.75 + 3659.75i 0.808084 + 0.808084i 0.984344 0.176260i \(-0.0563999\pi\)
−0.176260 + 0.984344i \(0.556400\pi\)
\(30\) 3152.08 + 2404.03i 0.639432 + 0.487682i
\(31\) 328.037 0.0613083 0.0306541 0.999530i \(-0.490241\pi\)
0.0306541 + 0.999530i \(0.490241\pi\)
\(32\) 482.494 + 5772.49i 0.0832947 + 0.996525i
\(33\) 1888.25i 0.301838i
\(34\) 6131.58 4613.03i 0.909651 0.684367i
\(35\) 2018.12 + 1131.95i 0.278470 + 0.156191i
\(36\) −2639.60 761.324i −0.339455 0.0979068i
\(37\) −6400.44 6400.44i −0.768609 0.768609i 0.209253 0.977862i \(-0.432897\pi\)
−0.977862 + 0.209253i \(0.932897\pi\)
\(38\) −299.288 + 2117.64i −0.0336225 + 0.237899i
\(39\) 2551.35i 0.268601i
\(40\) −10010.2 1481.90i −0.989219 0.146443i
\(41\) 14066.4i 1.30684i 0.756996 + 0.653419i \(0.226666\pi\)
−0.756996 + 0.653419i \(0.773334\pi\)
\(42\) 2906.41 + 410.767i 0.254234 + 0.0359312i
\(43\) −2588.02 2588.02i −0.213450 0.213450i 0.592281 0.805731i \(-0.298227\pi\)
−0.805731 + 0.592281i \(0.798227\pi\)
\(44\) −2330.27 4219.33i −0.181457 0.328558i
\(45\) 2347.72 4185.71i 0.172829 0.308133i
\(46\) −3012.57 4004.26i −0.209914 0.279015i
\(47\) 7426.87i 0.490412i 0.969471 + 0.245206i \(0.0788556\pi\)
−0.969471 + 0.245206i \(0.921144\pi\)
\(48\) −12516.7 + 2848.86i −0.784127 + 0.178471i
\(49\) −15093.7 −0.898059
\(50\) 6513.24 16434.0i 0.368444 0.929650i
\(51\) 12023.7 + 12023.7i 0.647309 + 0.647309i
\(52\) −3148.60 5701.04i −0.161476 0.292379i
\(53\) −26363.7 26363.7i −1.28919 1.28919i −0.935279 0.353912i \(-0.884851\pi\)
−0.353912 0.935279i \(1.38485\pi\)
\(54\) 3263.42 23090.6i 0.152296 1.07758i
\(55\) 8105.64 2280.28i 0.361310 0.101644i
\(56\) −7001.36 + 2668.91i −0.298341 + 0.113727i
\(57\) −4739.45 −0.193215
\(58\) 4097.18 28989.9i 0.159924 1.13156i
\(59\) −18259.9 + 18259.9i −0.682919 + 0.682919i −0.960657 0.277738i \(-0.910415\pi\)
0.277738 + 0.960657i \(0.410415\pi\)
\(60\) 147.342 22424.5i 0.00528382 0.804164i
\(61\) 3175.15 + 3175.15i 0.109255 + 0.109255i 0.759621 0.650366i \(-0.225385\pi\)
−0.650366 + 0.759621i \(0.725385\pi\)
\(62\) −1115.61 1482.86i −0.0368583 0.0489915i
\(63\) 3553.53i 0.112800i
\(64\) 24453.1 21812.6i 0.746248 0.665668i
\(65\) 10952.1 3081.05i 0.321525 0.0904515i
\(66\) 8535.63 6421.69i 0.241199 0.181464i
\(67\) −34715.8 + 34715.8i −0.944800 + 0.944800i −0.998554 0.0537538i \(-0.982881\pi\)
0.0537538 + 0.998554i \(0.482881\pi\)
\(68\) −41705.5 12028.9i −1.09376 0.315465i
\(69\) 7852.14 7852.14i 0.198548 0.198548i
\(70\) −1746.54 12972.3i −0.0426023 0.316427i
\(71\) 48765.4i 1.14806i 0.818833 + 0.574031i \(0.194621\pi\)
−0.818833 + 0.574031i \(0.805379\pi\)
\(72\) 5535.47 + 14521.2i 0.125841 + 0.330120i
\(73\) −45646.6 −1.00254 −0.501269 0.865291i \(-0.667133\pi\)
−0.501269 + 0.865291i \(0.667133\pi\)
\(74\) −7165.44 + 50699.6i −0.152112 + 1.07628i
\(75\) 38080.4 + 9195.24i 0.781714 + 0.188760i
\(76\) 10590.4 5848.92i 0.210319 0.116156i
\(77\) 4408.65 4408.65i 0.0847381 0.0847381i
\(78\) 11533.1 8676.82i 0.214640 0.161482i
\(79\) −52108.5 −0.939378 −0.469689 0.882832i \(-0.655634\pi\)
−0.469689 + 0.882832i \(0.655634\pi\)
\(80\) 27344.6 + 50289.9i 0.477691 + 0.878528i
\(81\) 30817.2 0.521892
\(82\) 63585.6 47838.0i 1.04430 0.785666i
\(83\) −12147.6 + 12147.6i −0.193550 + 0.193550i −0.797228 0.603678i \(-0.793701\pi\)
0.603678 + 0.797228i \(0.293701\pi\)
\(84\) −8027.51 14535.1i −0.124132 0.224760i
\(85\) 37093.8 66133.8i 0.556871 0.992834i
\(86\) −2897.35 + 20500.4i −0.0422430 + 0.298893i
\(87\) 64881.9 0.919021
\(88\) −11148.1 + 24883.2i −0.153460 + 0.342530i
\(89\) 20635.8i 0.276151i −0.990422 0.138076i \(-0.955908\pi\)
0.990422 0.138076i \(-0.0440917\pi\)
\(90\) −26905.4 + 3622.43i −0.350133 + 0.0471404i
\(91\) 5956.85 5956.85i 0.0754073 0.0754073i
\(92\) −7855.51 + 27236.0i −0.0967620 + 0.335486i
\(93\) 2907.81 2907.81i 0.0348625 0.0348625i
\(94\) 33572.4 25257.9i 0.391889 0.294834i
\(95\) 5723.44 + 20345.0i 0.0650652 + 0.231285i
\(96\) 55445.8 + 46891.9i 0.614031 + 0.519301i
\(97\) 95370.9i 1.02917i −0.857440 0.514584i \(-0.827946\pi\)
0.857440 0.514584i \(-0.172054\pi\)
\(98\) 51331.8 + 68229.5i 0.539909 + 0.717641i
\(99\) −9143.80 9143.80i −0.0937646 0.0937646i
\(100\) −96439.2 + 26447.7i −0.964392 + 0.264477i
\(101\) 25284.2 25284.2i 0.246630 0.246630i −0.572956 0.819586i \(-0.694203\pi\)
0.819586 + 0.572956i \(0.194203\pi\)
\(102\) 13460.8 95242.9i 0.128106 0.906426i
\(103\) 158108. 1.46845 0.734226 0.678905i \(-0.237545\pi\)
0.734226 + 0.678905i \(0.237545\pi\)
\(104\) −15063.0 + 33621.5i −0.136562 + 0.304813i
\(105\) 27923.0 7855.30i 0.247166 0.0695328i
\(106\) −29514.8 + 208834.i −0.255138 + 1.80525i
\(107\) 75361.8 + 75361.8i 0.636344 + 0.636344i 0.949652 0.313308i \(-0.101437\pi\)
−0.313308 + 0.949652i \(0.601437\pi\)
\(108\) −115477. + 63776.3i −0.952659 + 0.526139i
\(109\) −97911.4 97911.4i −0.789345 0.789345i 0.192042 0.981387i \(-0.438489\pi\)
−0.981387 + 0.192042i \(0.938489\pi\)
\(110\) −37874.1 28885.8i −0.298442 0.227616i
\(111\) −113470. −0.874126
\(112\) 35875.3 + 22572.3i 0.270241 + 0.170032i
\(113\) 24551.2i 0.180874i −0.995902 0.0904370i \(-0.971174\pi\)
0.995902 0.0904370i \(-0.0288264\pi\)
\(114\) 16118.3 + 21424.2i 0.116160 + 0.154399i
\(115\) −43189.1 24224.4i −0.304530 0.170808i
\(116\) −144980. + 80070.2i −1.00038 + 0.552492i
\(117\) −12354.9 12354.9i −0.0834398 0.0834398i
\(118\) 144642. + 20442.4i 0.956289 + 0.135154i
\(119\) 56145.4i 0.363452i
\(120\) −101869. + 75596.9i −0.645785 + 0.479238i
\(121\) 138363.i 0.859123i
\(122\) 3554.66 25151.2i 0.0216221 0.152989i
\(123\) 124688. + 124688.i 0.743124 + 0.743124i
\(124\) −2909.06 + 10086.1i −0.0169902 + 0.0589070i
\(125\) −6514.29 174571.i −0.0372900 0.999304i
\(126\) −16063.4 + 12085.1i −0.0901385 + 0.0678148i
\(127\) 122893.i 0.676112i 0.941126 + 0.338056i \(0.109769\pi\)
−0.941126 + 0.338056i \(0.890231\pi\)
\(128\) −181764. 36355.7i −0.980578 0.196132i
\(129\) −45881.7 −0.242753
\(130\) −51174.4 39029.7i −0.265580 0.202552i
\(131\) 173092. + 173092.i 0.881250 + 0.881250i 0.993662 0.112411i \(-0.0358574\pi\)
−0.112411 + 0.993662i \(0.535857\pi\)
\(132\) −58057.3 16745.1i −0.290016 0.0836474i
\(133\) 11065.6 + 11065.6i 0.0542433 + 0.0542433i
\(134\) 274993. + 38865.2i 1.32300 + 0.186981i
\(135\) −62408.2 221841.i −0.294718 1.04763i
\(136\) 87460.0 + 229434.i 0.405473 + 1.06368i
\(137\) −276156. −1.25705 −0.628526 0.777789i \(-0.716341\pi\)
−0.628526 + 0.777789i \(0.716341\pi\)
\(138\) −62199.0 8790.66i −0.278026 0.0392938i
\(139\) 233300. 233300.i 1.02419 1.02419i 0.0244851 0.999700i \(-0.492205\pi\)
0.999700 0.0244851i \(-0.00779462\pi\)
\(140\) −52700.4 + 52012.4i −0.227245 + 0.224278i
\(141\) 65833.6 + 65833.6i 0.278869 + 0.278869i
\(142\) 220439. 165845.i 0.917419 0.690210i
\(143\) 30655.9i 0.125364i
\(144\) 46816.3 74407.5i 0.188144 0.299027i
\(145\) −78352.5 278517.i −0.309480 1.10010i
\(146\) 155238. + 206341.i 0.602722 + 0.801131i
\(147\) −133794. + 133794.i −0.510674 + 0.510674i
\(148\) 253552. 140033.i 0.951507 0.525502i
\(149\) 324980. 324980.i 1.19920 1.19920i 0.224793 0.974406i \(-0.427829\pi\)
0.974406 0.224793i \(-0.0721707\pi\)
\(150\) −87940.5 203410.i −0.319125 0.738151i
\(151\) 181400.i 0.647432i −0.946154 0.323716i \(-0.895068\pi\)
0.946154 0.323716i \(-0.104932\pi\)
\(152\) −62456.1 27981.5i −0.219263 0.0982339i
\(153\) −116449. −0.402168
\(154\) −34922.2 4935.59i −0.118659 0.0167702i
\(155\) −15993.8 8970.77i −0.0534715 0.0299917i
\(156\) −78445.5 22625.5i −0.258081 0.0744367i
\(157\) −104693. + 104693.i −0.338975 + 0.338975i −0.855982 0.517006i \(-0.827046\pi\)
0.517006 + 0.855982i \(0.327046\pi\)
\(158\) 177214. + 235551.i 0.564750 + 0.750659i
\(159\) −467389. −1.46618
\(160\) 134335. 294638.i 0.414847 0.909891i
\(161\) −36666.1 −0.111481
\(162\) −104806. 139306.i −0.313760 0.417045i
\(163\) 416351. 416351.i 1.22741 1.22741i 0.262474 0.964939i \(-0.415462\pi\)
0.964939 0.262474i \(-0.0845384\pi\)
\(164\) −432494. 124741.i −1.25565 0.362160i
\(165\) 51637.5 92063.4i 0.147657 0.263255i
\(166\) 96224.3 + 13599.5i 0.271028 + 0.0383048i
\(167\) −596258. −1.65441 −0.827205 0.561901i \(-0.810070\pi\)
−0.827205 + 0.561901i \(0.810070\pi\)
\(168\) −38403.9 + 85719.7i −0.104979 + 0.234319i
\(169\) 329872.i 0.888440i
\(170\) −425103. + 57234.0i −1.12816 + 0.151891i
\(171\) 22950.7 22950.7i 0.0600214 0.0600214i
\(172\) 102524. 56622.2i 0.264243 0.145937i
\(173\) −99726.2 + 99726.2i −0.253334 + 0.253334i −0.822336 0.569002i \(-0.807330\pi\)
0.569002 + 0.822336i \(0.307330\pi\)
\(174\) −220655. 293292.i −0.552512 0.734391i
\(175\) −67440.6 110378.i −0.166466 0.272452i
\(176\) 150395. 34230.7i 0.365976 0.0832980i
\(177\) 323721.i 0.776672i
\(178\) −93282.3 + 70180.0i −0.220673 + 0.166021i
\(179\) 483974. + 483974.i 1.12899 + 1.12899i 0.990342 + 0.138648i \(0.0442755\pi\)
0.138648 + 0.990342i \(0.455724\pi\)
\(180\) 107877. + 109304.i 0.248169 + 0.251451i
\(181\) −5883.05 + 5883.05i −0.0133477 + 0.0133477i −0.713749 0.700401i \(-0.753004\pi\)
0.700401 + 0.713749i \(0.253004\pi\)
\(182\) −47185.9 6668.84i −0.105593 0.0149235i
\(183\) 56290.6 0.124253
\(184\) 149833. 57116.3i 0.326260 0.124370i
\(185\) 137029. + 487091.i 0.294362 + 1.04636i
\(186\) −23033.5 3255.36i −0.0488178 0.00689948i
\(187\) −144471. 144471.i −0.302119 0.302119i
\(188\) −228351. 65861.9i −0.471204 0.135906i
\(189\) −120659. 120659.i −0.245700 0.245700i
\(190\) 72502.7 95063.0i 0.145704 0.191041i
\(191\) −706768. −1.40182 −0.700912 0.713248i \(-0.747223\pi\)
−0.700912 + 0.713248i \(0.747223\pi\)
\(192\) 23405.8 410111.i 0.0458216 0.802875i
\(193\) 13634.2i 0.0263473i 0.999913 + 0.0131737i \(0.00419343\pi\)
−0.999913 + 0.0131737i \(0.995807\pi\)
\(194\) −431115. + 324345.i −0.822411 + 0.618732i
\(195\) 69771.2 124394.i 0.131398 0.234267i
\(196\) 133852. 464080.i 0.248876 0.862885i
\(197\) 391799. + 391799.i 0.719279 + 0.719279i 0.968458 0.249178i \(-0.0801605\pi\)
−0.249178 + 0.968458i \(0.580161\pi\)
\(198\) −10236.7 + 72430.6i −0.0185566 + 0.131298i
\(199\) 412502.i 0.738403i 0.929349 + 0.369202i \(0.120369\pi\)
−0.929349 + 0.369202i \(0.879631\pi\)
\(200\) 447532. + 345998.i 0.791133 + 0.611645i
\(201\) 615459.i 1.07451i
\(202\) −200284. 28306.3i −0.345356 0.0488096i
\(203\) −151485. 151485.i −0.258006 0.258006i
\(204\) −476315. + 263061.i −0.801343 + 0.442570i
\(205\) 384670. 685820.i 0.639298 1.13979i
\(206\) −537705. 714710.i −0.882827 1.17344i
\(207\) 76047.7i 0.123356i
\(208\) 203210. 46251.7i 0.325677 0.0741257i
\(209\) 56947.2 0.0901793
\(210\) −130472. 99508.4i −0.204159 0.155708i
\(211\) 771947. + 771947.i 1.19366 + 1.19366i 0.976031 + 0.217631i \(0.0698330\pi\)
0.217631 + 0.976031i \(0.430167\pi\)
\(212\) 1.04439e6 576801.i 1.59597 0.881428i
\(213\) 432268. + 432268.i 0.652837 + 0.652837i
\(214\) 84369.4 596962.i 0.125936 0.891071i
\(215\) 55407.5 + 196956.i 0.0817471 + 0.290584i
\(216\) 681019. + 305108.i 0.993173 + 0.444959i
\(217\) −13578.2 −0.0195746
\(218\) −109614. + 775583.i −0.156216 + 1.10532i
\(219\) −404623. + 404623.i −0.570086 + 0.570086i
\(220\) −1770.40 + 269443.i −0.00246612 + 0.375327i
\(221\) −195206. 195206.i −0.268851 0.268851i
\(222\) 385898. + 512931.i 0.525521 + 0.698516i
\(223\) 957296.i 1.28909i −0.764565 0.644546i \(-0.777046\pi\)
0.764565 0.644546i \(-0.222954\pi\)
\(224\) −19971.5 238936.i −0.0265945 0.318172i
\(225\) −228931. + 139876.i −0.301473 + 0.184199i
\(226\) −110981. + 83495.6i −0.144537 + 0.108741i
\(227\) −792692. + 792692.i −1.02103 + 1.02103i −0.0212596 + 0.999774i \(0.506768\pi\)
−0.999774 + 0.0212596i \(0.993232\pi\)
\(228\) 42029.8 145722.i 0.0535451 0.185648i
\(229\) 367575. 367575.i 0.463188 0.463188i −0.436511 0.899699i \(-0.643786\pi\)
0.899699 + 0.436511i \(0.143786\pi\)
\(230\) 37377.0 + 277616.i 0.0465892 + 0.346039i
\(231\) 78158.8i 0.0963713i
\(232\) 855009. + 383059.i 1.04292 + 0.467246i
\(233\) 186503. 0.225058 0.112529 0.993648i \(-0.464105\pi\)
0.112529 + 0.993648i \(0.464105\pi\)
\(234\) −13831.6 + 97866.3i −0.0165132 + 0.116841i
\(235\) 203101. 362105.i 0.239907 0.427725i
\(236\) −399502. 723362.i −0.466916 0.845426i
\(237\) −461903. + 461903.i −0.534170 + 0.534170i
\(238\) −253800. + 190944.i −0.290435 + 0.218506i
\(239\) 700067. 0.792766 0.396383 0.918085i \(-0.370265\pi\)
0.396383 + 0.918085i \(0.370265\pi\)
\(240\) 688172. + 203392.i 0.771203 + 0.227932i
\(241\) −579195. −0.642365 −0.321183 0.947017i \(-0.604080\pi\)
−0.321183 + 0.947017i \(0.604080\pi\)
\(242\) 625455. 470554.i 0.686527 0.516501i
\(243\) −435176. + 435176.i −0.472769 + 0.472769i
\(244\) −125783. + 69467.8i −0.135253 + 0.0746980i
\(245\) 735908. + 412764.i 0.783264 + 0.439326i
\(246\) 139591. 987687.i 0.147068 1.04059i
\(247\) 76945.6 0.0802493
\(248\) 55486.4 21151.3i 0.0572871 0.0218378i
\(249\) 215358.i 0.220122i
\(250\) −766978. + 623143.i −0.776127 + 0.630576i
\(251\) 1.12996e6 1.12996e6i 1.13208 1.13208i 0.142250 0.989831i \(-0.454566\pi\)
0.989831 0.142250i \(-0.0454337\pi\)
\(252\) 109259. + 31512.9i 0.108382 + 0.0312599i
\(253\) −94347.8 + 94347.8i −0.0926682 + 0.0926682i
\(254\) 555527. 417945.i 0.540283 0.406476i
\(255\) −257418. 915036.i −0.247907 0.881227i
\(256\) 453813. + 945286.i 0.432790 + 0.901495i
\(257\) 1.14209e6i 1.07862i 0.842107 + 0.539310i \(0.181315\pi\)
−0.842107 + 0.539310i \(0.818685\pi\)
\(258\) 156038. + 207404.i 0.145942 + 0.193985i
\(259\) 264929. + 264929.i 0.245403 + 0.245403i
\(260\) −2392.11 + 364064.i −0.00219456 + 0.333999i
\(261\) −314190. + 314190.i −0.285490 + 0.285490i
\(262\) 193781. 1.37111e6i 0.174405 1.23401i
\(263\) 27537.7 0.0245492 0.0122746 0.999925i \(-0.496093\pi\)
0.0122746 + 0.999925i \(0.496093\pi\)
\(264\) 121751. + 319390.i 0.107514 + 0.282041i
\(265\) 564428. + 2.00635e6i 0.493735 + 1.75506i
\(266\) 12388.2 87653.8i 0.0107351 0.0759568i
\(267\) −182921. 182921.i −0.157031 0.157031i
\(268\) −759533. 1.37526e6i −0.645966 1.16963i
\(269\) −318148. 318148.i −0.268070 0.268070i 0.560252 0.828322i \(-0.310704\pi\)
−0.828322 + 0.560252i \(0.810704\pi\)
\(270\) −790566. + 1.03656e6i −0.659977 + 0.865339i
\(271\) −1.27676e6 −1.05605 −0.528026 0.849228i \(-0.677068\pi\)
−0.528026 + 0.849228i \(0.677068\pi\)
\(272\) 739694. 1.17563e6i 0.606219 0.963494i
\(273\) 105606.i 0.0857596i
\(274\) 939173. + 1.24834e6i 0.755734 + 1.00451i
\(275\) −457557. 110486.i −0.364849 0.0880999i
\(276\) 171794. + 311060.i 0.135748 + 0.245794i
\(277\) −174335. 174335.i −0.136516 0.136516i 0.635546 0.772063i \(-0.280775\pi\)
−0.772063 + 0.635546i \(0.780775\pi\)
\(278\) −1.84804e6 261186.i −1.43416 0.202692i
\(279\) 28162.0i 0.0216597i
\(280\) 414345. + 61339.3i 0.315840 + 0.0467567i
\(281\) 1.37172e6i 1.03633i −0.855281 0.518165i \(-0.826615\pi\)
0.855281 0.518165i \(-0.173385\pi\)
\(282\) 73702.4 521487.i 0.0551898 0.390499i
\(283\) −1.13906e6 1.13906e6i −0.845438 0.845438i 0.144122 0.989560i \(-0.453964\pi\)
−0.989560 + 0.144122i \(0.953964\pi\)
\(284\) −1.49937e6 432454.i −1.10310 0.318159i
\(285\) 231077. + 129609.i 0.168517 + 0.0945198i
\(286\) −138577. + 104257.i −0.100179 + 0.0753685i
\(287\) 582239.i 0.417250i
\(288\) −495568. + 41422.1i −0.352065 + 0.0294274i
\(289\) −420027. −0.295824
\(290\) −992543. + 1.30139e6i −0.693034 + 0.908682i
\(291\) −845392. 845392.i −0.585229 0.585229i
\(292\) 404797. 1.40348e6i 0.277831 0.963273i
\(293\) −455737. 455737.i −0.310131 0.310131i 0.534829 0.844960i \(-0.320376\pi\)
−0.844960 + 0.534829i \(0.820376\pi\)
\(294\) 1.05982e6 + 149786.i 0.715096 + 0.101065i
\(295\) 1.38963e6 390931.i 0.929704 0.261544i
\(296\) −1.49530e6 669921.i −0.991972 0.444421i
\(297\) −620950. −0.408475
\(298\) −2.57426e6 363824.i −1.67924 0.237329i
\(299\) −127480. + 127480.i −0.0824642 + 0.0824642i
\(300\) −620422. + 1.08930e6i −0.398001 + 0.698787i
\(301\) 107124. + 107124.i 0.0681507 + 0.0681507i
\(302\) −819999. + 616918.i −0.517364 + 0.389233i
\(303\) 448252.i 0.280489i
\(304\) 85918.3 + 377488.i 0.0533214 + 0.234272i
\(305\) −67977.5 241638.i −0.0418423 0.148736i
\(306\) 396029. + 526396.i 0.241781 + 0.321373i
\(307\) −184551. + 184551.i −0.111756 + 0.111756i −0.760774 0.649017i \(-0.775180\pi\)
0.649017 + 0.760774i \(0.275180\pi\)
\(308\) 96455.1 + 174648.i 0.0579360 + 0.104902i
\(309\) 1.40151e6 1.40151e6i 0.835024 0.835024i
\(310\) 13841.5 + 102807.i 0.00818047 + 0.0607600i
\(311\) 3.13850e6i 1.84001i −0.391901 0.920007i \(-0.628183\pi\)
0.391901 0.920007i \(-0.371817\pi\)
\(312\) 164507. + 431552.i 0.0956748 + 0.250984i
\(313\) 900598. 0.519601 0.259801 0.965662i \(-0.416343\pi\)
0.259801 + 0.965662i \(0.416343\pi\)
\(314\) 829301. + 117206.i 0.474666 + 0.0670852i
\(315\) −97177.6 + 173256.i −0.0551810 + 0.0983811i
\(316\) 462101. 1.60216e6i 0.260327 0.902586i
\(317\) 385578. 385578.i 0.215508 0.215508i −0.591094 0.806602i \(-0.701304\pi\)
0.806602 + 0.591094i \(0.201304\pi\)
\(318\) 1.58953e6 + 2.11279e6i 0.881459 + 1.17162i
\(319\) −779593. −0.428935
\(320\) −1.78874e6 + 394783.i −0.976500 + 0.215518i
\(321\) 1.33605e6 0.723704
\(322\) 124697. + 165746.i 0.0670218 + 0.0890845i
\(323\) 362620. 362620.i 0.193395 0.193395i
\(324\) −273289. + 947527.i −0.144630 + 0.501452i
\(325\) −618240. 149286.i −0.324675 0.0783989i
\(326\) −3.29803e6 466115.i −1.71874 0.242912i
\(327\) −1.73582e6 −0.897710
\(328\) 906977. + 2.37927e6i 0.465491 + 1.22112i
\(329\) 307415.i 0.156580i
\(330\) −591776. + 79674.2i −0.299139 + 0.0402748i
\(331\) 1.63490e6 1.63490e6i 0.820201 0.820201i −0.165935 0.986137i \(-0.553064\pi\)
0.986137 + 0.165935i \(0.0530643\pi\)
\(332\) −265772. 481223.i −0.132332 0.239608i
\(333\) 549477. 549477.i 0.271543 0.271543i
\(334\) 2.02780e6 + 2.69532e6i 0.994624 + 1.32204i
\(335\) 2.64197e6 743239.i 1.28622 0.361840i
\(336\) 518095. 117921.i 0.250358 0.0569827i
\(337\) 1.32112e6i 0.633677i 0.948479 + 0.316839i \(0.102621\pi\)
−0.948479 + 0.316839i \(0.897379\pi\)
\(338\) 1.49115e6 1.12185e6i 0.709954 0.534126i
\(339\) −217628. 217628.i −0.102853 0.102853i
\(340\) 1.70444e6 + 1.72699e6i 0.799624 + 0.810201i
\(341\) −34938.9 + 34938.9i −0.0162714 + 0.0162714i
\(342\) −181799. 25693.9i −0.0840478 0.0118786i
\(343\) 1.32044e6 0.606016
\(344\) −604625. 270883.i −0.275480 0.123420i
\(345\) −597570. + 168108.i −0.270297 + 0.0760399i
\(346\) 789959. + 111646.i 0.354743 + 0.0501363i
\(347\) 1.25710e6 + 1.25710e6i 0.560464 + 0.560464i 0.929439 0.368975i \(-0.120291\pi\)
−0.368975 + 0.929439i \(0.620291\pi\)
\(348\) −575377. + 1.99490e6i −0.254686 + 0.883026i
\(349\) −2.28989e6 2.28989e6i −1.00635 1.00635i −0.999980 0.00637460i \(-0.997971\pi\)
−0.00637460 0.999980i \(-0.502029\pi\)
\(350\) −269598. + 680242.i −0.117638 + 0.296820i
\(351\) −839011. −0.363496
\(352\) −666212. 563432.i −0.286587 0.242373i
\(353\) 893194.i 0.381513i −0.981637 0.190756i \(-0.938906\pi\)
0.981637 0.190756i \(-0.0610941\pi\)
\(354\) 1.46335e6 1.10094e6i 0.620640 0.466932i
\(355\) 1.33358e6 2.37761e6i 0.561626 1.00131i
\(356\) 634483. + 183000.i 0.265335 + 0.0765290i
\(357\) −497688. 497688.i −0.206674 0.206674i
\(358\) 541821. 3.83370e6i 0.223434 1.58092i
\(359\) 3.68283e6i 1.50815i 0.656787 + 0.754076i \(0.271915\pi\)
−0.656787 + 0.754076i \(0.728085\pi\)
\(360\) 127221. 859375.i 0.0517373 0.349483i
\(361\) 2.33316e6i 0.942274i
\(362\) 46601.2 + 6586.21i 0.0186907 + 0.00264158i
\(363\) 1.22648e6 + 1.22648e6i 0.488534 + 0.488534i
\(364\) 130328. + 235979.i 0.0515565 + 0.0933513i
\(365\) 2.22555e6 + 1.24829e6i 0.874389 + 0.490436i
\(366\) −191438. 254456.i −0.0747007 0.0992911i
\(367\) 3.91156e6i 1.51595i 0.652283 + 0.757975i \(0.273811\pi\)
−0.652283 + 0.757975i \(0.726189\pi\)
\(368\) −767754. 483062.i −0.295531 0.185944i
\(369\) −1.20760e6 −0.461696
\(370\) 1.73583e6 2.27596e6i 0.659179 0.864292i
\(371\) 1.09125e6 + 1.09125e6i 0.411615 + 0.411615i
\(372\) 63618.7 + 115192.i 0.0238357 + 0.0431583i
\(373\) −207688. 207688.i −0.0772929 0.0772929i 0.667403 0.744696i \(-0.267406\pi\)
−0.744696 + 0.667403i \(0.767406\pi\)
\(374\) −161739. + 1.14440e6i −0.0597910 + 0.423056i
\(375\) −1.60519e6 1.48970e6i −0.589451 0.547042i
\(376\) 478873. + 1.25623e6i 0.174683 + 0.458246i
\(377\) −1.05337e6 −0.381703
\(378\) −135081. + 955773.i −0.0486254 + 0.344053i
\(379\) −3.56226e6 + 3.56226e6i −1.27388 + 1.27388i −0.329840 + 0.944037i \(0.606995\pi\)
−0.944037 + 0.329840i \(0.893005\pi\)
\(380\) −676296. 4443.65i −0.240258 0.00157863i
\(381\) 1.08936e6 + 1.08936e6i 0.384466 + 0.384466i
\(382\) 2.40363e6 + 3.19488e6i 0.842771 + 1.12020i
\(383\) 5.48952e6i 1.91222i 0.293011 + 0.956109i \(0.405343\pi\)
−0.293011 + 0.956109i \(0.594657\pi\)
\(384\) −1.93346e6 + 1.28893e6i −0.669126 + 0.446069i
\(385\) −335511. + 94385.9i −0.115360 + 0.0324530i
\(386\) 61632.1 46368.3i 0.0210542 0.0158399i
\(387\) 222181. 222181.i 0.0754102 0.0754102i
\(388\) 2.93234e6 + 845756.i 0.988860 + 0.285211i
\(389\) 74226.0 74226.0i 0.0248704 0.0248704i −0.694562 0.719433i \(-0.744402\pi\)
0.719433 + 0.694562i \(0.244402\pi\)
\(390\) −799593. + 107654.i −0.266200 + 0.0358400i
\(391\) 1.20155e6i 0.397465i
\(392\) −2.55304e6 + 973217.i −0.839156 + 0.319885i
\(393\) 3.06867e6 1.00223
\(394\) 438628. 3.10355e6i 0.142350 1.00721i
\(395\) 2.54060e6 + 1.42500e6i 0.819302 + 0.459539i
\(396\) 362229. 200054.i 0.116077 0.0641074i
\(397\) −2.34175e6 + 2.34175e6i −0.745699 + 0.745699i −0.973668 0.227969i \(-0.926791\pi\)
0.227969 + 0.973668i \(0.426791\pi\)
\(398\) 1.86468e6 1.40287e6i 0.590059 0.443925i
\(399\) 196177. 0.0616901
\(400\) 42049.9 3.19972e6i 0.0131406 0.999914i
\(401\) 71985.6 0.0223555 0.0111778 0.999938i \(-0.496442\pi\)
0.0111778 + 0.999938i \(0.496442\pi\)
\(402\) 2.78212e6 2.09310e6i 0.858640 0.645989i
\(403\) −47208.6 + 47208.6i −0.0144797 + 0.0144797i
\(404\) 553184. + 1.00163e6i 0.168623 + 0.305319i
\(405\) −1.50253e6 842752.i −0.455181 0.255307i
\(406\) −169592. + 1.19996e6i −0.0510610 + 0.361286i
\(407\) 1.36341e6 0.407981
\(408\) 2.80903e6 + 1.25850e6i 0.835422 + 0.374284i
\(409\) 4.87721e6i 1.44166i −0.693111 0.720831i \(-0.743761\pi\)
0.693111 0.720831i \(-0.256239\pi\)
\(410\) −4.40840e6 + 593527.i −1.29515 + 0.174374i
\(411\) −2.44792e6 + 2.44792e6i −0.714813 + 0.714813i
\(412\) −1.40211e6 + 4.86128e6i −0.406948 + 1.41094i
\(413\) 755820. 755820.i 0.218043 0.218043i
\(414\) 343766. 258629.i 0.0985740 0.0741611i
\(415\) 924465. 260070.i 0.263494 0.0741260i
\(416\) −900169. 761295.i −0.255030 0.215685i
\(417\) 4.13607e6i 1.16479i
\(418\) −193670. 257424.i −0.0542154 0.0720624i
\(419\) 733737. + 733737.i 0.204176 + 0.204176i 0.801787 0.597610i \(-0.203883\pi\)
−0.597610 + 0.801787i \(0.703883\pi\)
\(420\) −6098.82 + 928201.i −0.00168703 + 0.256755i
\(421\) −4.50606e6 + 4.50606e6i −1.23906 + 1.23906i −0.278671 + 0.960387i \(0.589894\pi\)
−0.960387 + 0.278671i \(0.910106\pi\)
\(422\) 864214. 6.11481e6i 0.236233 1.67148i
\(423\) −637597. −0.173259
\(424\) −6.15922e6 2.75944e6i −1.66384 0.745429i
\(425\) −3.61710e6 + 2.21003e6i −0.971377 + 0.593506i
\(426\) 483935. 3.42412e6i 0.129200 0.914166i
\(427\) −131427. 131427.i −0.0348830 0.0348830i
\(428\) −2.98544e6 + 1.64881e6i −0.787769 + 0.435072i
\(429\) −271742. 271742.i −0.0712874 0.0712874i
\(430\) 701884. 920286.i 0.183060 0.240022i
\(431\) 1.91181e6 0.495737 0.247869 0.968794i \(-0.420270\pi\)
0.247869 + 0.968794i \(0.420270\pi\)
\(432\) −936849. 4.11612e6i −0.241524 1.06115i
\(433\) 4.02313e6i 1.03120i −0.856828 0.515602i \(-0.827568\pi\)
0.856828 0.515602i \(-0.172432\pi\)
\(434\) 46177.8 + 61379.0i 0.0117682 + 0.0156421i
\(435\) −3.16338e6 1.77431e6i −0.801547 0.449580i
\(436\) 3.87873e6 2.14216e6i 0.977178 0.539680i
\(437\) −236811. 236811.i −0.0593196 0.0593196i
\(438\) 3.20513e6 + 452985.i 0.798290 + 0.112823i
\(439\) 4.60690e6i 1.14090i 0.821332 + 0.570450i \(0.193231\pi\)
−0.821332 + 0.570450i \(0.806769\pi\)
\(440\) 1.22401e6 908340.i 0.301407 0.223675i
\(441\) 1.29579e6i 0.317277i
\(442\) −218538. + 1.54628e6i −0.0532072 + 0.376472i
\(443\) −788756. 788756.i −0.190956 0.190956i 0.605153 0.796109i \(-0.293112\pi\)
−0.796109 + 0.605153i \(0.793112\pi\)
\(444\) 1.00626e6 3.48883e6i 0.242244 0.839890i
\(445\) −564324. + 1.00612e6i −0.135092 + 0.240852i
\(446\) −4.32736e6 + 3.25565e6i −1.03012 + 0.774997i
\(447\) 5.76142e6i 1.36383i
\(448\) −1.01217e6 + 902873.i −0.238264 + 0.212536i
\(449\) 8.09989e6 1.89611 0.948054 0.318108i \(-0.103048\pi\)
0.948054 + 0.318108i \(0.103048\pi\)
\(450\) 1.41086e6 + 559161.i 0.328438 + 0.130169i
\(451\) −1.49819e6 1.49819e6i −0.346838 0.346838i
\(452\) 754867. + 217721.i 0.173790 + 0.0501251i
\(453\) −1.60797e6 1.60797e6i −0.368157 0.368157i
\(454\) 6.27914e6 + 887438.i 1.42975 + 0.202068i
\(455\) −453334. + 127532.i −0.102657 + 0.0288795i
\(456\) −801662. + 305592.i −0.180542 + 0.0688225i
\(457\) −4.57146e6 −1.02392 −0.511958 0.859010i \(-0.671080\pi\)
−0.511958 + 0.859010i \(0.671080\pi\)
\(458\) −2.91166e6 411509.i −0.648601 0.0916676i
\(459\) −3.95399e6 + 3.95399e6i −0.875999 + 0.875999i
\(460\) 1.12782e6 1.11310e6i 0.248511 0.245267i
\(461\) 6.06801e6 + 6.06801e6i 1.32982 + 1.32982i 0.905521 + 0.424302i \(0.139480\pi\)
0.424302 + 0.905521i \(0.360520\pi\)
\(462\) −353309. + 265808.i −0.0770105 + 0.0579381i
\(463\) 5.55428e6i 1.20413i 0.798445 + 0.602067i \(0.205656\pi\)
−0.798445 + 0.602067i \(0.794344\pi\)
\(464\) −1.17620e6 5.16772e6i −0.253621 1.11430i
\(465\) −221292. + 62253.9i −0.0474607 + 0.0133516i
\(466\) −634272. 843067.i −0.135304 0.179844i
\(467\) 2.04230e6 2.04230e6i 0.433339 0.433339i −0.456424 0.889762i \(-0.650870\pi\)
0.889762 + 0.456424i \(0.150870\pi\)
\(468\) 489435. 270307.i 0.103295 0.0570483i
\(469\) 1.43697e6 1.43697e6i 0.301658 0.301658i
\(470\) −2.32758e6 + 313375.i −0.486027 + 0.0654365i
\(471\) 1.85605e6i 0.385511i
\(472\) −1.91123e6 + 4.26597e6i −0.394874 + 0.881380i
\(473\) 551294. 0.113300
\(474\) 3.65886e6 + 517111.i 0.747997 + 0.105715i
\(475\) 277317. 1.14846e6i 0.0563953 0.233551i
\(476\) 1.72629e6 + 497902.i 0.349217 + 0.100722i
\(477\) 2.26333e6 2.26333e6i 0.455461 0.455461i
\(478\) −2.38084e6 3.16458e6i −0.476608 0.633501i
\(479\) 7.85118e6 1.56349 0.781746 0.623596i \(-0.214329\pi\)
0.781746 + 0.623596i \(0.214329\pi\)
\(480\) −1.42097e6 3.80253e6i −0.281503 0.753302i
\(481\) 1.84220e6 0.363057
\(482\) 1.96977e6 + 2.61819e6i 0.386187 + 0.513315i
\(483\) −325018. + 325018.i −0.0633927 + 0.0633927i
\(484\) −4.25419e6 1.22701e6i −0.825474 0.238086i
\(485\) −2.60809e6 + 4.64991e6i −0.503464 + 0.897615i
\(486\) 3.44715e6 + 487190.i 0.662017 + 0.0935637i
\(487\) 3.88273e6 0.741848 0.370924 0.928663i \(-0.379041\pi\)
0.370924 + 0.928663i \(0.379041\pi\)
\(488\) 741794. + 332337.i 0.141005 + 0.0631726i
\(489\) 7.38128e6i 1.39592i
\(490\) −636875. 4.73036e6i −0.119830 0.890029i
\(491\) 717032. 717032.i 0.134225 0.134225i −0.636802 0.771027i \(-0.719743\pi\)
0.771027 + 0.636802i \(0.219743\pi\)
\(492\) −4.93947e6 + 2.72799e6i −0.919958 + 0.508078i
\(493\) −4.96417e6 + 4.96417e6i −0.919876 + 0.919876i
\(494\) −261682. 347825.i −0.0482456 0.0641274i
\(495\) 195762. + 695869.i 0.0359100 + 0.127648i
\(496\) −284315. 178888.i −0.0518914 0.0326495i
\(497\) 2.01851e6i 0.366556i
\(498\) 973506. 732407.i 0.175900 0.132336i
\(499\) −1.36050e6 1.36050e6i −0.244595 0.244595i 0.574153 0.818748i \(-0.305332\pi\)
−0.818748 + 0.574153i \(0.805332\pi\)
\(500\) 5.42525e6 + 1.34782e6i 0.970499 + 0.241105i
\(501\) −5.28538e6 + 5.28538e6i −0.940767 + 0.940767i
\(502\) −8.95070e6 1.26501e6i −1.58525 0.224045i
\(503\) −1.58927e6 −0.280076 −0.140038 0.990146i \(-0.544723\pi\)
−0.140038 + 0.990146i \(0.544723\pi\)
\(504\) −229126. 601067.i −0.0401789 0.105401i
\(505\) −1.92420e6 + 541317.i −0.335755 + 0.0944546i
\(506\) 747356. + 105625.i 0.129763 + 0.0183396i
\(507\) 2.92407e6 + 2.92407e6i 0.505204 + 0.505204i
\(508\) −3.77856e6 1.08983e6i −0.649631 0.187369i
\(509\) 1.43281e6 + 1.43281e6i 0.245129 + 0.245129i 0.818968 0.573839i \(-0.194547\pi\)
−0.573839 + 0.818968i \(0.694547\pi\)
\(510\) −3.26089e6 + 4.27556e6i −0.555150 + 0.727893i
\(511\) 1.88942e6 0.320092
\(512\) 2.72971e6 5.26622e6i 0.460194 0.887818i
\(513\) 1.55857e6i 0.261476i
\(514\) 5.16272e6 3.88412e6i 0.861928 0.648462i
\(515\) −7.70870e6 4.32374e6i −1.28075 0.718359i
\(516\) 406882. 1.41071e6i 0.0672735 0.233245i
\(517\) −791028. 791028.i −0.130156 0.130156i
\(518\) 296594. 2.09857e6i 0.0485666 0.343637i
\(519\) 1.76800e6i 0.288113i
\(520\) 1.65385e6 1.22733e6i 0.268218 0.199045i
\(521\) 4.09564e6i 0.661040i 0.943799 + 0.330520i \(0.107224\pi\)
−0.943799 + 0.330520i \(0.892776\pi\)
\(522\) 2.48878e6 + 351743.i 0.399771 + 0.0565001i
\(523\) −5.97287e6 5.97287e6i −0.954837 0.954837i 0.0441864 0.999023i \(-0.485930\pi\)
−0.999023 + 0.0441864i \(0.985930\pi\)
\(524\) −6.85700e6 + 3.78702e6i −1.09095 + 0.602516i
\(525\) −1.57623e6 380612.i −0.249587 0.0602676i
\(526\) −93652.2 124481.i −0.0147589 0.0196173i
\(527\) 444957.i 0.0697898i
\(528\) 1.02971e6 1.63657e6i 0.160742 0.255476i
\(529\) −5.65167e6 −0.878086
\(530\) 7.14998e6 9.37481e6i 1.10564 1.44968i
\(531\) −1.56761e6 1.56761e6i −0.241270 0.241270i
\(532\) −438361. + 242100.i −0.0671511 + 0.0370865i
\(533\) −2.02432e6 2.02432e6i −0.308646 0.308646i
\(534\) −204785. + 1.44897e6i −0.0310774 + 0.219890i
\(535\) −1.61344e6 5.73525e6i −0.243707 0.866299i
\(536\) −3.63363e6 + 8.11047e6i −0.546298 + 1.21937i
\(537\) 8.58014e6 1.28398
\(538\) −356174. + 2.52014e6i −0.0530526 + 0.375378i
\(539\) 1.60761e6 1.60761e6i 0.238347 0.238347i
\(540\) 7.37430e6 + 48453.4i 1.08827 + 0.00715055i
\(541\) −2.32757e6 2.32757e6i −0.341908 0.341908i 0.515176 0.857084i \(-0.327726\pi\)
−0.857084 + 0.515176i \(0.827726\pi\)
\(542\) 4.34210e6 + 5.77146e6i 0.634895 + 0.843894i
\(543\) 104298.i 0.0151801i
\(544\) −7.82994e6 + 654467.i −1.13439 + 0.0948179i
\(545\) 2.09621e6 + 7.45133e6i 0.302304 + 1.07459i
\(546\) −477382. + 359154.i −0.0685306 + 0.0515583i
\(547\) 2.76662e6 2.76662e6i 0.395350 0.395350i −0.481239 0.876589i \(-0.659813\pi\)
0.876589 + 0.481239i \(0.159813\pi\)
\(548\) 2.44897e6 8.49088e6i 0.348363 1.20782i
\(549\) −272587. + 272587.i −0.0385988 + 0.0385988i
\(550\) 1.05666e6 + 2.44409e6i 0.148945 + 0.344517i
\(551\) 1.95676e6i 0.274573i
\(552\) 821868. 1.83445e6i 0.114803 0.256247i
\(553\) 2.15689e6 0.299926
\(554\) −195172. + 1.38096e6i −0.0270174 + 0.191164i
\(555\) 5.53236e6 + 3.10305e6i 0.762391 + 0.427618i
\(556\) 5.10429e6 + 9.24213e6i 0.700242 + 1.26790i
\(557\) 8.40532e6 8.40532e6i 1.14793 1.14793i 0.160973 0.986959i \(-0.448537\pi\)
0.986959 0.160973i \(-0.0514631\pi\)
\(558\) 127304. 95775.5i 0.0173083 0.0130217i
\(559\) 744895. 0.100824
\(560\) −1.13186e6 2.08161e6i −0.152518 0.280498i
\(561\) −2.56126e6 −0.343595
\(562\) −6.20070e6 + 4.66503e6i −0.828133 + 0.623037i
\(563\) −1.94330e6 + 1.94330e6i −0.258386 + 0.258386i −0.824397 0.566011i \(-0.808486\pi\)
0.566011 + 0.824397i \(0.308486\pi\)
\(564\) −2.60798e6 + 1.44035e6i −0.345229 + 0.190664i
\(565\) −671396. + 1.19702e6i −0.0884826 + 0.157754i
\(566\) −1.27521e6 + 9.02284e6i −0.167317 + 1.18387i
\(567\) −1.27559e6 −0.166631
\(568\) 3.14431e6 + 8.24849e6i 0.408936 + 1.07276i
\(569\) 1.36427e7i 1.76652i −0.468883 0.883260i \(-0.655343\pi\)
0.468883 0.883260i \(-0.344657\pi\)
\(570\) −199980. 1.48534e6i −0.0257810 0.191487i
\(571\) −696057. + 696057.i −0.0893418 + 0.0893418i −0.750365 0.661023i \(-0.770122\pi\)
0.661023 + 0.750365i \(0.270122\pi\)
\(572\) 942567. + 271858.i 0.120454 + 0.0347418i
\(573\) −6.26497e6 + 6.26497e6i −0.797136 + 0.797136i
\(574\) −2.63195e6 + 1.98012e6i −0.333425 + 0.250849i
\(575\) 1.44327e6 + 2.36217e6i 0.182045 + 0.297948i
\(576\) 1.87261e6 + 2.09930e6i 0.235175 + 0.263644i
\(577\) 9.20299e6i 1.15077i 0.817882 + 0.575386i \(0.195148\pi\)
−0.817882 + 0.575386i \(0.804852\pi\)
\(578\) 1.42846e6 + 1.89869e6i 0.177848 + 0.236393i
\(579\) 120857. + 120857.i 0.0149822 + 0.0149822i
\(580\) 9.25831e6 + 60832.5i 1.14278 + 0.00750871i
\(581\) 502816. 502816.i 0.0617971 0.0617971i
\(582\) −946437. + 6.69659e6i −0.115820 + 0.819494i
\(583\) 5.61595e6 0.684308
\(584\) −7.72096e6 + 2.94322e6i −0.936784 + 0.357101i
\(585\) 264508. + 940240.i 0.0319558 + 0.113592i
\(586\) −510209. + 3.61002e6i −0.0613767 + 0.434276i
\(587\) −4.76146e6 4.76146e6i −0.570354 0.570354i 0.361873 0.932227i \(-0.382137\pi\)
−0.932227 + 0.361873i \(0.882137\pi\)
\(588\) −2.92723e6 5.30022e6i −0.349151 0.632194i
\(589\) −87695.9 87695.9i −0.0104158 0.0104158i
\(590\) −6.49313e6 4.95219e6i −0.767935 0.585689i
\(591\) 6.94601e6 0.818025
\(592\) 2.05702e6 + 9.03768e6i 0.241232 + 1.05987i
\(593\) 4.61909e6i 0.539411i 0.962943 + 0.269706i \(0.0869264\pi\)
−0.962943 + 0.269706i \(0.913074\pi\)
\(594\) 2.11177e6 + 2.80694e6i 0.245573 + 0.326413i
\(595\) −1.53540e6 + 2.73743e6i −0.177799 + 0.316994i
\(596\) 7.11012e6 + 1.28740e7i 0.819900 + 1.48456i
\(597\) 3.65653e6 + 3.65653e6i 0.419887 + 0.419887i
\(598\) 1.00981e6 + 142717.i 0.115474 + 0.0163201i
\(599\) 5.67187e6i 0.645891i 0.946418 + 0.322946i \(0.104673\pi\)
−0.946418 + 0.322946i \(0.895327\pi\)
\(600\) 7.03406e6 900021.i 0.797678 0.102064i
\(601\) 1.03348e6i 0.116712i −0.998296 0.0583560i \(-0.981414\pi\)
0.998296 0.0583560i \(-0.0185858\pi\)
\(602\) 119928. 848559.i 0.0134874 0.0954313i
\(603\) −2.98035e6 2.98035e6i −0.333791 0.333791i
\(604\) 5.57743e6 + 1.60866e6i 0.622074 + 0.179421i
\(605\) 3.78378e6 6.74602e6i 0.420278 0.749306i
\(606\) −2.02628e6 + 1.52445e6i −0.224139 + 0.168629i
\(607\) 9.08373e6i 1.00067i −0.865831 0.500337i \(-0.833209\pi\)
0.865831 0.500337i \(-0.166791\pi\)
\(608\) 1.41420e6 1.67218e6i 0.155150 0.183452i
\(609\) −2.68561e6 −0.293427
\(610\) −861117. + 1.12907e6i −0.0936996 + 0.122856i
\(611\) −1.06882e6 1.06882e6i −0.115824 0.115824i
\(612\) 1.03268e6 3.58042e6i 0.111452 0.386416i
\(613\) 531673. + 531673.i 0.0571470 + 0.0571470i 0.735103 0.677956i \(-0.237134\pi\)
−0.677956 + 0.735103i \(0.737134\pi\)
\(614\) 1.46188e6 + 206610.i 0.156492 + 0.0221172i
\(615\) −2.66947e6 9.48909e6i −0.284602 1.01167i
\(616\) 461445. 1.02997e6i 0.0489968 0.109364i
\(617\) 1.25963e7 1.33208 0.666038 0.745918i \(-0.267989\pi\)
0.666038 + 0.745918i \(0.267989\pi\)
\(618\) −1.11017e7 1.56902e6i −1.16928 0.165256i
\(619\) −3.65172e6 + 3.65172e6i −0.383064 + 0.383064i −0.872205 0.489141i \(-0.837310\pi\)
0.489141 + 0.872205i \(0.337310\pi\)
\(620\) 417655. 412203.i 0.0436354 0.0430657i
\(621\) 2.58217e6 + 2.58217e6i 0.268693 + 0.268693i
\(622\) −1.41873e7 + 1.06737e7i −1.47036 + 1.10621i
\(623\) 854164.i 0.0881701i
\(624\) 1.39132e6 2.21129e6i 0.143043 0.227345i
\(625\) −4.45636e6 + 8.68955e6i −0.456331 + 0.889810i
\(626\) −3.06282e6 4.07107e6i −0.312382 0.415214i
\(627\) 504794. 504794.i 0.0512797 0.0512797i
\(628\) −2.29053e6 4.14738e6i −0.231759 0.419638i
\(629\) 8.68170e6 8.68170e6i 0.874940 0.874940i
\(630\) 1.11368e6 149940.i 0.111791 0.0150511i
\(631\) 1.64590e6i 0.164562i −0.996609 0.0822809i \(-0.973780\pi\)
0.996609 0.0822809i \(-0.0262205\pi\)
\(632\) −8.81396e6 + 3.35987e6i −0.877765 + 0.334603i
\(633\) 1.36855e7 1.35753
\(634\) −3.05427e6 431663.i −0.301775 0.0426503i
\(635\) 3.36074e6 5.99179e6i 0.330750 0.589688i
\(636\) 4.14484e6 1.43707e7i 0.406317 1.40875i
\(637\) 2.17216e6 2.17216e6i 0.212102 0.212102i
\(638\) 2.65130e6 + 3.52407e6i 0.257874 + 0.342762i
\(639\) −4.18651e6 −0.405602
\(640\) 7.86786e6 + 6.74321e6i 0.759288 + 0.650754i
\(641\) 1.54329e6 0.148355 0.0741774 0.997245i \(-0.476367\pi\)
0.0741774 + 0.997245i \(0.476367\pi\)
\(642\) −4.54375e6 6.03950e6i −0.435088 0.578313i
\(643\) 1.04796e7 1.04796e7i 0.999582 0.999582i −0.000418180 1.00000i \(-0.500133\pi\)
1.00000 0.000418180i \(0.000133111\pi\)
\(644\) 325158. 1.12736e6i 0.0308944 0.107115i
\(645\) 2.23701e6 + 1.25472e6i 0.211723 + 0.118754i
\(646\) −2.87241e6 405961.i −0.270810 0.0382740i
\(647\) −277110. −0.0260250 −0.0130125 0.999915i \(-0.504142\pi\)
−0.0130125 + 0.999915i \(0.504142\pi\)
\(648\) 5.21262e6 1.98705e6i 0.487662 0.185896i
\(649\) 3.88969e6i 0.362496i
\(650\) 1.42773e6 + 3.30239e6i 0.132544 + 0.306581i
\(651\) −120361. + 120361.i −0.0111310 + 0.0111310i
\(652\) 9.10918e6 + 1.64936e7i 0.839190 + 1.51949i
\(653\) −8.34962e6 + 8.34962e6i −0.766274 + 0.766274i −0.977448 0.211175i \(-0.932271\pi\)
0.211175 + 0.977448i \(0.432271\pi\)
\(654\) 5.90332e6 + 7.84661e6i 0.539699 + 0.717361i
\(655\) −3.70578e6 1.31728e7i −0.337502 1.19971i
\(656\) 7.67076e6 1.21915e7i 0.695951 1.10611i
\(657\) 3.91876e6i 0.354189i
\(658\) −1.38964e6 + 1.04548e6i −0.125123 + 0.0941350i
\(659\) 5.33899e6 + 5.33899e6i 0.478901 + 0.478901i 0.904780 0.425879i \(-0.140035\pi\)
−0.425879 + 0.904780i \(0.640035\pi\)
\(660\) 2.37272e6 + 2.40410e6i 0.212025 + 0.214829i
\(661\) 7.22239e6 7.22239e6i 0.642950 0.642950i −0.308329 0.951280i \(-0.599770\pi\)
0.951280 + 0.308329i \(0.0997698\pi\)
\(662\) −1.29505e7 1.83031e6i −1.14853 0.162323i
\(663\) −3.46071e6 −0.305760
\(664\) −1.27146e6 + 2.83797e6i −0.111914 + 0.249798i
\(665\) −236906. 842124.i −0.0207741 0.0738452i
\(666\) −4.35256e6 615153.i −0.380242 0.0537400i
\(667\) 3.24188e6 + 3.24188e6i 0.282151 + 0.282151i
\(668\) 5.28765e6 1.83329e7i 0.458481 1.58961i
\(669\) −8.48571e6 8.48571e6i −0.733032 0.733032i
\(670\) −1.23448e7 9.41510e6i −1.06242 0.810286i
\(671\) −676364. −0.0579928
\(672\) −2.29503e6 1.94096e6i −0.196049 0.165803i
\(673\) 9.95206e6i 0.846984i 0.905900 + 0.423492i \(0.139196\pi\)
−0.905900 + 0.423492i \(0.860804\pi\)
\(674\) 5.97200e6 4.49297e6i 0.506373 0.380964i
\(675\) −3.02385e6 + 1.25227e7i −0.255447 + 1.05789i
\(676\) −1.01425e7 2.92532e6i −0.853643 0.246211i
\(677\) −3.19273e6 3.19273e6i −0.267726 0.267726i 0.560457 0.828183i \(-0.310625\pi\)
−0.828183 + 0.560457i \(0.810625\pi\)
\(678\) −243640. + 1.72389e6i −0.0203551 + 0.144024i
\(679\) 3.94762e6i 0.328595i
\(680\) 2.01009e6 1.35781e7i 0.166703 1.12607i
\(681\) 1.40533e7i 1.16121i
\(682\) 276761. + 39115.0i 0.0227847 + 0.00322020i
\(683\) −1.47985e7 1.47985e7i −1.21385 1.21385i −0.969749 0.244105i \(-0.921506\pi\)
−0.244105 0.969749i \(1.42151\pi\)
\(684\) 502130. + 909187.i 0.0410370 + 0.0743041i
\(685\) 1.34643e7 + 7.55199e6i 1.09637 + 0.614943i
\(686\) −4.49066e6 5.96893e6i −0.364334 0.484268i
\(687\) 6.51656e6i 0.526776i
\(688\) 831758. + 3.65439e6i 0.0669924 + 0.294336i
\(689\) 7.58812e6 0.608957
\(690\) 2.79218e6 + 2.12954e6i 0.223265 + 0.170280i
\(691\) −1.08008e7 1.08008e7i −0.860520 0.860520i 0.130879 0.991398i \(-0.458220\pi\)
−0.991398 + 0.130879i \(0.958220\pi\)
\(692\) −2.18187e6 3.95063e6i −0.173206 0.313618i
\(693\) 378483. + 378483.i 0.0299373 + 0.0299373i
\(694\) 1.40736e6 9.95788e6i 0.110919 0.784816i
\(695\) −1.77548e7 + 4.99479e6i −1.39429 + 0.392243i
\(696\) 1.09745e7 4.18348e6i 0.858743 0.327352i
\(697\) −1.90799e7 −1.48763
\(698\) −2.56359e6 + 1.81389e7i −0.199163 + 1.40920i
\(699\) 1.65321e6 1.65321e6i 0.127978 0.127978i
\(700\) 3.99184e6 1.09473e6i 0.307913 0.0844428i
\(701\) −7.39420e6 7.39420e6i −0.568324 0.568324i 0.363334 0.931659i \(-0.381638\pi\)
−0.931659 + 0.363334i \(0.881638\pi\)
\(702\) 2.85337e6 + 3.79267e6i 0.218532 + 0.290470i
\(703\) 3.42212e6i 0.261160i
\(704\) −281234. + 4.92771e6i −0.0213863 + 0.374726i
\(705\) −1.40945e6 5.01013e6i −0.106801 0.379644i
\(706\) −4.03760e6 + 3.03764e6i −0.304868 + 0.229364i
\(707\) −1.04657e6 + 1.04657e6i −0.0787446 + 0.0787446i
\(708\) −9.95335e6 2.87078e6i −0.746253 0.215237i
\(709\) −6.79317e6 + 6.79317e6i −0.507524 + 0.507524i −0.913766 0.406241i \(-0.866839\pi\)
0.406241 + 0.913766i \(0.366839\pi\)
\(710\) −1.52831e7 + 2.05765e6i −1.13780 + 0.153188i
\(711\) 4.47351e6i 0.331875i
\(712\) −1.33057e6 3.49048e6i −0.0983641 0.258039i
\(713\) 290582. 0.0214065
\(714\) −557173. + 3.94232e6i −0.0409020 + 0.289405i
\(715\) −838341. + 1.49466e6i −0.0613275 + 0.109340i
\(716\) −1.91725e7 + 1.05887e7i −1.39764 + 0.771897i
\(717\) 6.20557e6 6.20557e6i 0.450800 0.450800i
\(718\) 1.66479e7 1.25248e7i 1.20517 0.906695i
\(719\) −1.81231e7 −1.30740 −0.653702 0.756752i \(-0.726785\pi\)
−0.653702 + 0.756752i \(0.726785\pi\)
\(720\) −4.31739e6 + 2.34754e6i −0.310377 + 0.168765i
\(721\) −6.54443e6 −0.468850
\(722\) −1.05468e7 + 7.93480e6i −0.752972 + 0.566491i
\(723\) −5.13413e6 + 5.13413e6i −0.365276 + 0.365276i
\(724\) −128713. 233055.i −0.00912589 0.0165239i
\(725\) −3.79640e6 + 1.57221e7i −0.268242 + 1.11088i
\(726\) 1.37308e6 9.71530e6i 0.0966837 0.684093i
\(727\) −6.48093e6 −0.454780 −0.227390 0.973804i \(-0.573019\pi\)
−0.227390 + 0.973804i \(0.573019\pi\)
\(728\) 623492. 1.39167e6i 0.0436016 0.0973212i
\(729\) 1.52036e7i 1.05957i
\(730\) −1.92605e6 1.43056e7i −0.133771 0.993574i
\(731\) 3.51045e6 3.51045e6i 0.242979 0.242979i
\(732\) −499189. + 1.73075e6i −0.0344340 + 0.119387i
\(733\) −1.31141e7 + 1.31141e7i −0.901529 + 0.901529i −0.995568 0.0940394i \(-0.970022\pi\)
0.0940394 + 0.995568i \(0.470022\pi\)
\(734\) 1.76818e7 1.33027e7i 1.21140 0.911383i
\(735\) 1.01821e7 2.86443e6i 0.695216 0.195578i
\(736\) 427403. + 5.11339e6i 0.0290833 + 0.347948i
\(737\) 7.39509e6i 0.501504i
\(738\) 4.10689e6 + 5.45882e6i 0.277570 + 0.368942i
\(739\) 1.39823e7 + 1.39823e7i 0.941821 + 0.941821i 0.998398 0.0565768i \(-0.0180186\pi\)
−0.0565768 + 0.998398i \(0.518019\pi\)
\(740\) −1.61916e7 106388.i −1.08695 0.00714191i
\(741\) 682065. 682065.i 0.0456331 0.0456331i
\(742\) 1.22169e6 8.64413e6i 0.0814610 0.576384i
\(743\) 1.95375e7 1.29837 0.649183 0.760632i \(-0.275111\pi\)
0.649183 + 0.760632i \(0.275111\pi\)
\(744\) 304354. 679336.i 0.0201580 0.0449938i
\(745\) −2.47319e7 + 6.95759e6i −1.63255 + 0.459270i
\(746\) −232512. + 1.64516e6i −0.0152967 + 0.108233i
\(747\) −1.04287e6 1.04287e6i −0.0683799 0.0683799i
\(748\) 5.72319e6 3.16083e6i 0.374011 0.206560i
\(749\) −3.11940e6 3.11940e6i −0.203173 0.203173i
\(750\) −1.27499e6 + 1.23224e7i −0.0827665 + 0.799911i
\(751\) 3.98800e6 0.258021 0.129011 0.991643i \(-0.458820\pi\)
0.129011 + 0.991643i \(0.458820\pi\)
\(752\) 4.05007e6 6.43698e6i 0.261167 0.415085i
\(753\) 2.00324e7i 1.28750i
\(754\) 3.58237e6 + 4.76163e6i 0.229478 + 0.305020i
\(755\) −4.96070e6 + 8.84433e6i −0.316720 + 0.564674i
\(756\) 4.77987e6 2.63985e6i 0.304167 0.167987i
\(757\) 8.52839e6 + 8.52839e6i 0.540913 + 0.540913i 0.923797 0.382884i \(-0.125069\pi\)
−0.382884 + 0.923797i \(0.625069\pi\)
\(758\) 2.82176e7 + 3.98804e6i 1.78381 + 0.252108i
\(759\) 1.67265e6i 0.105390i
\(760\) 2.27991e6 + 3.07224e6i 0.143181 + 0.192940i
\(761\) 1.11127e7i