Properties

Label 21.7.h.a.2.2
Level $21$
Weight $7$
Character 21.2
Analytic conductor $4.831$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 21 = 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 21.h (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83113575602\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(14\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 2.2
Character \(\chi\) \(=\) 21.2
Dual form 21.7.h.a.11.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-11.1103 - 6.41456i) q^{2} +(-14.0470 + 23.0582i) q^{3} +(50.2932 + 87.1103i) q^{4} +(38.4659 + 22.2083i) q^{5} +(303.975 - 166.080i) q^{6} +(-244.854 - 240.199i) q^{7} -469.371i q^{8} +(-334.364 - 647.797i) q^{9} +O(q^{10})\) \(q+(-11.1103 - 6.41456i) q^{2} +(-14.0470 + 23.0582i) q^{3} +(50.2932 + 87.1103i) q^{4} +(38.4659 + 22.2083i) q^{5} +(303.975 - 166.080i) q^{6} +(-244.854 - 240.199i) q^{7} -469.371i q^{8} +(-334.364 - 647.797i) q^{9} +(-284.913 - 493.483i) q^{10} +(1976.59 - 1141.18i) q^{11} +(-2715.08 - 63.9659i) q^{12} +1632.89 q^{13} +(1179.65 + 4239.32i) q^{14} +(-1052.41 + 574.996i) q^{15} +(207.957 - 360.192i) q^{16} +(-565.551 + 326.521i) q^{17} +(-440.433 + 9342.05i) q^{18} +(1432.18 - 2480.60i) q^{19} +4467.70i q^{20} +(8978.02 - 2271.84i) q^{21} -29280.8 q^{22} +(5700.94 + 3291.44i) q^{23} +(10822.9 + 6593.24i) q^{24} +(-6826.08 - 11823.1i) q^{25} +(-18141.9 - 10474.3i) q^{26} +(19633.9 + 1389.75i) q^{27} +(8609.27 - 33409.7i) q^{28} -31946.0i q^{29} +(15381.0 + 362.370i) q^{30} +(23450.7 + 40617.8i) q^{31} +(-30636.1 + 17687.8i) q^{32} +(-1451.43 + 61606.9i) q^{33} +8377.96 q^{34} +(-4084.14 - 14677.2i) q^{35} +(39613.6 - 61706.4i) q^{36} +(12837.6 - 22235.3i) q^{37} +(-31824.0 + 18373.6i) q^{38} +(-22937.1 + 37651.5i) q^{39} +(10423.9 - 18054.8i) q^{40} -90943.6i q^{41} +(-114322. - 32349.1i) q^{42} -87735.6 q^{43} +(198818. + 114788. i) q^{44} +(1524.85 - 32343.8i) q^{45} +(-42226.3 - 73138.0i) q^{46} +(14076.8 + 8127.24i) q^{47} +(5384.22 + 9854.73i) q^{48} +(2258.34 + 117627. i) q^{49} +175145. i q^{50} +(415.290 - 17627.2i) q^{51} +(82123.1 + 142241. i) q^{52} +(54963.5 - 31733.2i) q^{53} +(-209224. - 141383. i) q^{54} +101375. q^{55} +(-112742. + 114927. i) q^{56} +(37080.6 + 67868.5i) q^{57} +(-204919. + 354931. i) q^{58} +(-57358.9 + 33116.2i) q^{59} +(-103017. - 62757.7i) q^{60} +(226744. - 392733. i) q^{61} -601704. i q^{62} +(-73729.4 + 238930. i) q^{63} +427218. q^{64} +(62810.4 + 36263.6i) q^{65} +(411307. - 675163. i) q^{66} +(22352.1 + 38714.9i) q^{67} +(-56886.7 - 32843.6i) q^{68} +(-155976. + 85218.8i) q^{69} +(-48771.8 + 189267. i) q^{70} -133341. i q^{71} +(-304057. + 156941. i) q^{72} +(-259235. - 449009. i) q^{73} +(-285260. + 164695. i) q^{74} +(368506. + 8681.83i) q^{75} +288115. q^{76} +(-758088. - 195350. i) q^{77} +(496357. - 271189. i) q^{78} +(-73802.1 + 127829. i) q^{79} +(15998.5 - 9236.73i) q^{80} +(-307842. + 433201. i) q^{81} +(-583363. + 1.01041e6i) q^{82} +281251. i q^{83} +(649434. + 667820. i) q^{84} -29005.9 q^{85} +(974772. + 562785. i) q^{86} +(736618. + 448745. i) q^{87} +(-535639. - 927753. i) q^{88} +(469964. + 271334. i) q^{89} +(-224413. + 349569. i) q^{90} +(-399819. - 392217. i) q^{91} +662148. i q^{92} +(-1.26599e6 - 29826.0i) q^{93} +(-104265. - 180593. i) q^{94} +(110180. - 63612.4i) q^{95} +(22496.4 - 954874. i) q^{96} +89556.3 q^{97} +(729437. - 1.32137e6i) q^{98} +(-1.40016e6 - 898858. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - q^{3} + 382q^{4} - 356q^{6} + 1120q^{7} + 1031q^{9} + O(q^{10}) \) \( 28q - q^{3} + 382q^{4} - 356q^{6} + 1120q^{7} + 1031q^{9} - 930q^{10} - 404q^{12} + 3632q^{13} + 5450q^{15} - 13706q^{16} + 1612q^{18} + 6830q^{19} - 11333q^{21} - 27348q^{22} - 54498q^{24} - 7640q^{25} + 13268q^{27} + 88522q^{28} + 32380q^{30} + 69410q^{31} - 85459q^{33} - 31344q^{34} + 399028q^{36} - 71830q^{37} + 104570q^{39} + 230250q^{40} - 467782q^{42} - 498904q^{43} - 85375q^{45} - 342660q^{46} - 324728q^{48} + 395668q^{49} + 42177q^{51} + 218000q^{52} - 402122q^{54} + 231660q^{55} + 786782q^{57} + 459522q^{58} + 1021150q^{60} + 153158q^{61} + 179011q^{63} - 1399412q^{64} + 80896q^{66} - 977098q^{67} - 1520742q^{69} - 139650q^{70} - 1001352q^{72} - 488350q^{73} + 1434610q^{75} + 6196280q^{76} + 245176q^{78} + 380762q^{79} + 893531q^{81} - 3665004q^{82} + 1231496q^{84} - 912540q^{85} + 1452416q^{87} - 1522482q^{88} - 11713820q^{90} - 1529416q^{91} - 1690071q^{93} - 3034044q^{94} + 7549346q^{96} + 7212176q^{97} + 435866q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).

\(n\) \(8\) \(10\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −11.1103 6.41456i −1.38879 0.801820i −0.395614 0.918417i \(-0.629468\pi\)
−0.993179 + 0.116597i \(0.962801\pi\)
\(3\) −14.0470 + 23.0582i −0.520259 + 0.854009i
\(4\) 50.2932 + 87.1103i 0.785831 + 1.36110i
\(5\) 38.4659 + 22.2083i 0.307727 + 0.177666i 0.645909 0.763414i \(-0.276479\pi\)
−0.338182 + 0.941081i \(0.609812\pi\)
\(6\) 303.975 166.080i 1.40729 0.768887i
\(7\) −244.854 240.199i −0.713861 0.700287i
\(8\) 469.371i 0.916739i
\(9\) −334.364 647.797i −0.458662 0.888611i
\(10\) −284.913 493.483i −0.284913 0.493483i
\(11\) 1976.59 1141.18i 1.48504 0.857389i 0.485186 0.874411i \(-0.338752\pi\)
0.999855 + 0.0170219i \(0.00541851\pi\)
\(12\) −2715.08 63.9659i −1.57123 0.0370173i
\(13\) 1632.89 0.743235 0.371617 0.928386i \(-0.378803\pi\)
0.371617 + 0.928386i \(0.378803\pi\)
\(14\) 1179.65 + 4239.32i 0.429901 + 1.54494i
\(15\) −1052.41 + 574.996i −0.311826 + 0.170369i
\(16\) 207.957 360.192i 0.0507707 0.0879374i
\(17\) −565.551 + 326.521i −0.115113 + 0.0664606i −0.556451 0.830880i \(-0.687837\pi\)
0.441338 + 0.897341i \(0.354504\pi\)
\(18\) −440.433 + 9342.05i −0.0755201 + 1.60186i
\(19\) 1432.18 2480.60i 0.208803 0.361657i −0.742535 0.669807i \(-0.766377\pi\)
0.951338 + 0.308151i \(0.0997101\pi\)
\(20\) 4467.70i 0.558463i
\(21\) 8978.02 2271.84i 0.969444 0.245313i
\(22\) −29280.8 −2.74989
\(23\) 5700.94 + 3291.44i 0.468558 + 0.270522i 0.715636 0.698474i \(-0.246137\pi\)
−0.247078 + 0.968996i \(0.579470\pi\)
\(24\) 10822.9 + 6593.24i 0.782903 + 0.476942i
\(25\) −6826.08 11823.1i −0.436869 0.756680i
\(26\) −18141.9 10474.3i −1.03220 0.595941i
\(27\) 19633.9 + 1389.75i 0.997504 + 0.0706067i
\(28\) 8609.27 33409.7i 0.392186 1.52194i
\(29\) 31946.0i 1.30985i −0.755693 0.654926i \(-0.772700\pi\)
0.755693 0.654926i \(-0.227300\pi\)
\(30\) 15381.0 + 362.370i 0.569668 + 0.0134211i
\(31\) 23450.7 + 40617.8i 0.787174 + 1.36343i 0.927692 + 0.373347i \(0.121790\pi\)
−0.140518 + 0.990078i \(0.544877\pi\)
\(32\) −30636.1 + 17687.8i −0.934940 + 0.539788i
\(33\) −1451.43 + 61606.9i −0.0403881 + 1.71430i
\(34\) 8377.96 0.213158
\(35\) −4084.14 14677.2i −0.0952570 0.342326i
\(36\) 39613.6 61706.4i 0.849057 1.32258i
\(37\) 12837.6 22235.3i 0.253442 0.438974i −0.711029 0.703162i \(-0.751771\pi\)
0.964471 + 0.264188i \(0.0851041\pi\)
\(38\) −31824.0 + 18373.6i −0.579967 + 0.334844i
\(39\) −22937.1 + 37651.5i −0.386674 + 0.634729i
\(40\) 10423.9 18054.8i 0.162874 0.282106i
\(41\) 90943.6i 1.31953i −0.751470 0.659767i \(-0.770655\pi\)
0.751470 0.659767i \(-0.229345\pi\)
\(42\) −114322. 32349.1i −1.54305 0.436631i
\(43\) −87735.6 −1.10350 −0.551748 0.834011i \(-0.686039\pi\)
−0.551748 + 0.834011i \(0.686039\pi\)
\(44\) 198818. + 114788.i 2.33398 + 1.34753i
\(45\) 1524.85 32343.8i 0.0167336 0.354938i
\(46\) −42226.3 73138.0i −0.433820 0.751398i
\(47\) 14076.8 + 8127.24i 0.135585 + 0.0782798i 0.566258 0.824228i \(-0.308391\pi\)
−0.430673 + 0.902508i \(0.641724\pi\)
\(48\) 5384.22 + 9854.73i 0.0486854 + 0.0891089i
\(49\) 2258.34 + 117627.i 0.0191956 + 0.999816i
\(50\) 175145.i 1.40116i
\(51\) 415.290 17627.2i 0.00313069 0.132884i
\(52\) 82123.1 + 142241.i 0.584057 + 1.01162i
\(53\) 54963.5 31733.2i 0.369187 0.213150i −0.303916 0.952699i \(-0.598294\pi\)
0.673103 + 0.739548i \(0.264961\pi\)
\(54\) −209224. 141383.i −1.32871 0.897877i
\(55\) 101375. 0.609316
\(56\) −112742. + 114927.i −0.641981 + 0.654425i
\(57\) 37080.6 + 67868.5i 0.200227 + 0.366474i
\(58\) −204919. + 354931.i −1.05027 + 1.81911i
\(59\) −57358.9 + 33116.2i −0.279283 + 0.161244i −0.633099 0.774071i \(-0.718217\pi\)
0.353816 + 0.935315i \(0.384884\pi\)
\(60\) −103017. 62757.7i −0.476932 0.290545i
\(61\) 226744. 392733.i 0.998957 1.73024i 0.459935 0.887953i \(-0.347873\pi\)
0.539022 0.842291i \(-0.318794\pi\)
\(62\) 601704.i 2.52469i
\(63\) −73729.4 + 238930.i −0.294862 + 0.955540i
\(64\) 427218. 1.62971
\(65\) 62810.4 + 36263.6i 0.228713 + 0.132048i
\(66\) 411307. 675163.i 1.43065 2.34843i
\(67\) 22352.1 + 38714.9i 0.0743179 + 0.128722i 0.900789 0.434256i \(-0.142989\pi\)
−0.826472 + 0.562979i \(0.809655\pi\)
\(68\) −56886.7 32843.6i −0.180919 0.104454i
\(69\) −155976. + 85218.8i −0.474799 + 0.259411i
\(70\) −48771.8 + 189267.i −0.142192 + 0.551799i
\(71\) 133341.i 0.372554i −0.982497 0.186277i \(-0.940358\pi\)
0.982497 0.186277i \(-0.0596422\pi\)
\(72\) −304057. + 156941.i −0.814625 + 0.420473i
\(73\) −259235. 449009.i −0.666385 1.15421i −0.978908 0.204303i \(-0.934507\pi\)
0.312523 0.949910i \(-0.398826\pi\)
\(74\) −285260. + 164695.i −0.703956 + 0.406429i
\(75\) 368506. + 8681.83i 0.873496 + 0.0205792i
\(76\) 288115. 0.656334
\(77\) −758088. 195350.i −1.66053 0.427899i
\(78\) 496357. 271189.i 1.04595 0.571464i
\(79\) −73802.1 + 127829.i −0.149688 + 0.259267i −0.931112 0.364733i \(-0.881160\pi\)
0.781424 + 0.624000i \(0.214494\pi\)
\(80\) 15998.5 9236.73i 0.0312470 0.0180405i
\(81\) −307842. + 433201.i −0.579259 + 0.815143i
\(82\) −583363. + 1.01041e6i −1.05803 + 1.83256i
\(83\) 281251.i 0.491881i 0.969285 + 0.245941i \(0.0790968\pi\)
−0.969285 + 0.245941i \(0.920903\pi\)
\(84\) 649434. + 667820.i 1.09571 + 1.12673i
\(85\) −29005.9 −0.0472312
\(86\) 974772. + 562785.i 1.53253 + 0.884804i
\(87\) 736618. + 448745.i 1.11863 + 0.681462i
\(88\) −535639. 927753.i −0.786002 1.36140i
\(89\) 469964. + 271334.i 0.666644 + 0.384887i 0.794804 0.606866i \(-0.207574\pi\)
−0.128160 + 0.991754i \(0.540907\pi\)
\(90\) −224413. + 349569.i −0.307836 + 0.479519i
\(91\) −399819. 392217.i −0.530566 0.520478i
\(92\) 662148.i 0.850337i
\(93\) −1.26599e6 29826.0i −1.57391 0.0370806i
\(94\) −104265. 180593.i −0.125533 0.217429i
\(95\) 110180. 63612.4i 0.128508 0.0741944i
\(96\) 22496.4 954874.i 0.0254272 1.07928i
\(97\) 89556.3 0.0981253 0.0490627 0.998796i \(-0.484377\pi\)
0.0490627 + 0.998796i \(0.484377\pi\)
\(98\) 729437. 1.32137e6i 0.775014 1.40393i
\(99\) −1.40016e6 898858.i −1.44302 0.926373i
\(100\) 686611. 1.18924e6i 0.686611 1.18924i
\(101\) −896691. + 517705.i −0.870320 + 0.502479i −0.867454 0.497517i \(-0.834245\pi\)
−0.00286511 + 0.999996i \(0.500912\pi\)
\(102\) −117685. + 193181.i −0.110897 + 0.182039i
\(103\) 228566. 395888.i 0.209170 0.362294i −0.742283 0.670086i \(-0.766257\pi\)
0.951453 + 0.307793i \(0.0995903\pi\)
\(104\) 766429.i 0.681353i
\(105\) 395801. + 111998.i 0.341908 + 0.0967480i
\(106\) −814218. −0.683633
\(107\) 1.08784e6 + 628062.i 0.887998 + 0.512686i 0.873287 0.487206i \(-0.161984\pi\)
0.0147107 + 0.999892i \(0.495317\pi\)
\(108\) 866388. + 1.78021e6i 0.687767 + 1.41319i
\(109\) 747136. + 1.29408e6i 0.576926 + 0.999265i 0.995829 + 0.0912340i \(0.0290811\pi\)
−0.418904 + 0.908031i \(0.637586\pi\)
\(110\) −1.12631e6 650276.i −0.846214 0.488562i
\(111\) 332378. + 608351.i 0.243032 + 0.444821i
\(112\) −137437. + 38243.6i −0.0978247 + 0.0272211i
\(113\) 127575.i 0.0884161i 0.999022 + 0.0442081i \(0.0140765\pi\)
−0.999022 + 0.0442081i \(0.985924\pi\)
\(114\) 23368.6 991898.i 0.0157732 0.669503i
\(115\) 146194. + 253216.i 0.0961252 + 0.166494i
\(116\) 2.78283e6 1.60667e6i 1.78284 1.02932i
\(117\) −545979. 1.05778e6i −0.340893 0.660447i
\(118\) 849703. 0.517155
\(119\) 216908. + 55894.4i 0.128716 + 0.0331686i
\(120\) 269886. + 493972.i 0.156184 + 0.285863i
\(121\) 1.71882e6 2.97709e6i 0.970232 1.68049i
\(122\) −5.03841e6 + 2.90893e6i −2.77469 + 1.60197i
\(123\) 2.09700e6 + 1.27748e6i 1.12689 + 0.686499i
\(124\) −2.35882e6 + 4.08560e6i −1.23717 + 2.14284i
\(125\) 1.30039e6i 0.665800i
\(126\) 2.35179e6 2.18165e6i 1.17567 1.09062i
\(127\) −1.98508e6 −0.969095 −0.484548 0.874765i \(-0.661016\pi\)
−0.484548 + 0.874765i \(0.661016\pi\)
\(128\) −2.78583e6 1.60840e6i −1.32839 0.766946i
\(129\) 1.23242e6 2.02303e6i 0.574103 0.942394i
\(130\) −465230. 805803.i −0.211757 0.366774i
\(131\) 2.98659e6 + 1.72431e6i 1.32850 + 0.767010i 0.985068 0.172168i \(-0.0550772\pi\)
0.343432 + 0.939178i \(0.388410\pi\)
\(132\) −5.43959e6 + 2.97197e6i −2.36507 + 1.29218i
\(133\) −946512. + 263380.i −0.402320 + 0.111951i
\(134\) 573515.i 0.238358i
\(135\) 724370. + 489493.i 0.294415 + 0.198950i
\(136\) 153259. + 265453.i 0.0609271 + 0.105529i
\(137\) −2.05544e6 + 1.18671e6i −0.799363 + 0.461512i −0.843248 0.537524i \(-0.819360\pi\)
0.0438856 + 0.999037i \(0.486026\pi\)
\(138\) 2.27959e6 + 53706.0i 0.867399 + 0.0204355i
\(139\) 3.27319e6 1.21878 0.609392 0.792869i \(-0.291414\pi\)
0.609392 + 0.792869i \(0.291414\pi\)
\(140\) 1.07314e6 1.09394e6i 0.391084 0.398665i
\(141\) −385136. + 210423.i −0.137391 + 0.0750647i
\(142\) −855326. + 1.48147e6i −0.298721 + 0.517401i
\(143\) 3.22755e6 1.86343e6i 1.10373 0.637241i
\(144\) −302865. 14278.6i −0.101429 0.00478188i
\(145\) 709466. 1.22883e6i 0.232717 0.403077i
\(146\) 6.65152e6i 2.13728i
\(147\) −2.74400e6 1.60024e6i −0.863838 0.503770i
\(148\) 2.58257e6 0.796649
\(149\) −3.09917e6 1.78931e6i −0.936885 0.540911i −0.0479027 0.998852i \(-0.515254\pi\)
−0.888983 + 0.457941i \(0.848587\pi\)
\(150\) −4.03854e6 2.46026e6i −1.19660 0.728967i
\(151\) −370170. 641153.i −0.107515 0.186222i 0.807248 0.590213i \(-0.200956\pi\)
−0.914763 + 0.403991i \(0.867623\pi\)
\(152\) −1.16432e6 672222.i −0.331545 0.191418i
\(153\) 400620. + 257186.i 0.111856 + 0.0718079i
\(154\) 7.16953e6 + 7.03320e6i 1.96304 + 1.92571i
\(155\) 2.08320e6i 0.559417i
\(156\) −4.43341e6 104449.i −1.16779 0.0275126i
\(157\) −186635. 323262.i −0.0482275 0.0835325i 0.840904 0.541184i \(-0.182024\pi\)
−0.889131 + 0.457652i \(0.848691\pi\)
\(158\) 1.63993e6 946815.i 0.415772 0.240046i
\(159\) −40360.2 + 1.71312e6i −0.0100407 + 0.426183i
\(160\) −1.57126e6 −0.383608
\(161\) −605301. 2.17528e6i −0.145042 0.521240i
\(162\) 6.19902e6 2.83834e6i 1.45807 0.667604i
\(163\) −1.48642e6 + 2.57456e6i −0.343225 + 0.594484i −0.985030 0.172385i \(-0.944853\pi\)
0.641804 + 0.766868i \(0.278186\pi\)
\(164\) 7.92213e6 4.57384e6i 1.79602 1.03693i
\(165\) −1.42401e6 + 2.33753e6i −0.317002 + 0.520362i
\(166\) 1.80410e6 3.12480e6i 0.394400 0.683121i
\(167\) 176945.i 0.0379917i 0.999820 + 0.0189958i \(0.00604693\pi\)
−0.999820 + 0.0189958i \(0.993953\pi\)
\(168\) −1.06634e6 4.21402e6i −0.224888 0.888728i
\(169\) −2.16049e6 −0.447602
\(170\) 322265. + 186060.i 0.0655944 + 0.0378710i
\(171\) −2.08580e6 98335.4i −0.417142 0.0196662i
\(172\) −4.41250e6 7.64267e6i −0.867160 1.50197i
\(173\) −739743. 427091.i −0.142871 0.0824864i 0.426861 0.904317i \(-0.359619\pi\)
−0.569731 + 0.821831i \(0.692953\pi\)
\(174\) −5.30558e6 9.71079e6i −1.00713 1.84335i
\(175\) −1.16850e6 + 4.53456e6i −0.218029 + 0.846098i
\(176\) 949269.i 0.174121i
\(177\) 42119.2 1.78778e6i 0.00759557 0.322399i
\(178\) −3.48097e6 6.02922e6i −0.617221 1.06906i
\(179\) 723180. 417528.i 0.126092 0.0727992i −0.435627 0.900127i \(-0.643473\pi\)
0.561719 + 0.827328i \(0.310140\pi\)
\(180\) 2.89416e6 1.49384e6i 0.496256 0.256145i
\(181\) 865510. 0.145961 0.0729804 0.997333i \(-0.476749\pi\)
0.0729804 + 0.997333i \(0.476749\pi\)
\(182\) 1.92623e6 + 6.92233e6i 0.319517 + 1.14825i
\(183\) 5.87065e6 + 1.07450e7i 0.957927 + 1.75329i
\(184\) 1.54490e6 2.67585e6i 0.247998 0.429545i
\(185\) 987617. 570201.i 0.155982 0.0900561i
\(186\) 1.38742e7 + 8.45212e6i 2.15611 + 1.31349i
\(187\) −745242. + 1.29080e6i −0.113965 + 0.197394i
\(188\) 1.63498e6i 0.246059i
\(189\) −4.47362e6 5.05631e6i −0.662635 0.748943i
\(190\) −1.63218e6 −0.237962
\(191\) −5.67532e6 3.27665e6i −0.814499 0.470251i 0.0340169 0.999421i \(-0.489170\pi\)
−0.848516 + 0.529170i \(0.822503\pi\)
\(192\) −6.00113e6 + 9.85090e6i −0.847870 + 1.39179i
\(193\) 603080. + 1.04457e6i 0.0838887 + 0.145299i 0.904917 0.425588i \(-0.139933\pi\)
−0.821028 + 0.570887i \(0.806599\pi\)
\(194\) −995002. 574464.i −0.136276 0.0786788i
\(195\) −1.71847e6 + 938903.i −0.231760 + 0.126624i
\(196\) −1.01330e7 + 6.11258e6i −1.34576 + 0.811813i
\(197\) 2.27517e6i 0.297588i 0.988868 + 0.148794i \(0.0475392\pi\)
−0.988868 + 0.148794i \(0.952461\pi\)
\(198\) 9.79045e6 + 1.89680e7i 1.26127 + 2.44358i
\(199\) 222272. + 384987.i 0.0282050 + 0.0488525i 0.879783 0.475375i \(-0.157688\pi\)
−0.851578 + 0.524227i \(0.824354\pi\)
\(200\) −5.54943e6 + 3.20396e6i −0.693678 + 0.400495i
\(201\) −1.20668e6 28428.7i −0.148595 0.00350082i
\(202\) 1.32834e7 1.61159
\(203\) −7.67338e6 + 7.82212e6i −0.917273 + 0.935053i
\(204\) 1.55640e6 850354.i 0.183329 0.100163i
\(205\) 2.01970e6 3.49823e6i 0.234437 0.406056i
\(206\) −5.07890e6 + 2.93230e6i −0.580989 + 0.335434i
\(207\) 225995. 4.79359e6i 0.0254793 0.540443i
\(208\) 339570. 588152.i 0.0377346 0.0653582i
\(209\) 6.53751e6i 0.716100i
\(210\) −3.67907e6 3.78323e6i −0.397265 0.408512i
\(211\) −5.36127e6 −0.570716 −0.285358 0.958421i \(-0.592113\pi\)
−0.285358 + 0.958421i \(0.592113\pi\)
\(212\) 5.52858e6 + 3.19193e6i 0.580238 + 0.335000i
\(213\) 3.07461e6 + 1.87304e6i 0.318165 + 0.193825i
\(214\) −8.05748e6 1.39560e7i −0.822163 1.42403i
\(215\) −3.37483e6 1.94846e6i −0.339575 0.196054i
\(216\) 652309. 9.21556e6i 0.0647280 0.914451i
\(217\) 4.01433e6 1.55783e7i 0.392856 1.52454i
\(218\) 1.91702e7i 1.85036i
\(219\) 1.39948e7 + 329711.i 1.33240 + 0.0313907i
\(220\) 5.09847e6 + 8.83081e6i 0.478820 + 0.829340i
\(221\) −923481. + 533172.i −0.0855561 + 0.0493958i
\(222\) 209469. 8.89105e6i 0.0191452 0.812633i
\(223\) −8.56544e6 −0.772387 −0.386194 0.922418i \(-0.626210\pi\)
−0.386194 + 0.922418i \(0.626210\pi\)
\(224\) 1.17500e7 + 3.02782e6i 1.04542 + 0.269393i
\(225\) −5.37659e6 + 8.37515e6i −0.472019 + 0.735267i
\(226\) 818340. 1.41741e6i 0.0708938 0.122792i
\(227\) 1.35487e7 7.82235e6i 1.15830 0.668744i 0.207403 0.978256i \(-0.433499\pi\)
0.950896 + 0.309512i \(0.100166\pi\)
\(228\) −4.04715e6 + 6.64342e6i −0.341464 + 0.560515i
\(229\) −7.34810e6 + 1.27273e7i −0.611883 + 1.05981i 0.379040 + 0.925380i \(0.376254\pi\)
−0.990923 + 0.134432i \(0.957079\pi\)
\(230\) 3.75109e6i 0.308300i
\(231\) 1.51533e7 1.47361e7i 1.22934 1.19549i
\(232\) −1.49945e7 −1.20079
\(233\) 2.41055e6 + 1.39173e6i 0.190567 + 0.110024i 0.592248 0.805756i \(-0.298241\pi\)
−0.401681 + 0.915780i \(0.631574\pi\)
\(234\) −719177. + 1.52545e7i −0.0561291 + 1.19056i
\(235\) 360984. + 625243.i 0.0278154 + 0.0481776i
\(236\) −5.76952e6 3.33103e6i −0.438939 0.253421i
\(237\) −1.91081e6 3.49736e6i −0.143540 0.262721i
\(238\) −2.05138e6 2.01237e6i −0.152165 0.149272i
\(239\) 1.08371e7i 0.793816i −0.917858 0.396908i \(-0.870083\pi\)
0.917858 0.396908i \(-0.129917\pi\)
\(240\) −11747.8 + 498645.i −0.000849815 + 0.0360710i
\(241\) 1.09990e7 + 1.90508e7i 0.785779 + 1.36101i 0.928533 + 0.371251i \(0.121071\pi\)
−0.142753 + 0.989758i \(0.545596\pi\)
\(242\) −3.81935e7 + 2.20510e7i −2.69490 + 1.55590i
\(243\) −5.66459e6 1.31835e7i −0.394775 0.918778i
\(244\) 4.56148e7 3.14004
\(245\) −2.52543e6 + 4.57479e6i −0.171727 + 0.311081i
\(246\) −1.51039e7 2.76446e7i −1.01457 1.85697i
\(247\) 2.33858e6 4.05054e6i 0.155189 0.268796i
\(248\) 1.90648e7 1.10071e7i 1.24991 0.721633i
\(249\) −6.48516e6 3.95073e6i −0.420071 0.255906i
\(250\) −8.34144e6 + 1.44478e7i −0.533852 + 0.924659i
\(251\) 1.63397e7i 1.03329i 0.856199 + 0.516646i \(0.172820\pi\)
−0.856199 + 0.516646i \(0.827180\pi\)
\(252\) −2.45213e7 + 5.59395e6i −1.53230 + 0.349556i
\(253\) 1.50246e7 0.927770
\(254\) 2.20549e7 + 1.27334e7i 1.34587 + 0.777040i
\(255\) 407445. 668825.i 0.0245725 0.0403359i
\(256\) 6.96339e6 + 1.20609e7i 0.415050 + 0.718888i
\(257\) 1.72309e7 + 9.94827e6i 1.01510 + 0.586068i 0.912681 0.408673i \(-0.134008\pi\)
0.102419 + 0.994741i \(0.467342\pi\)
\(258\) −2.66694e7 + 1.45711e7i −1.55294 + 0.848463i
\(259\) −8.48423e6 + 2.36085e6i −0.488330 + 0.135884i
\(260\) 7.29525e6i 0.415069i
\(261\) −2.06945e7 + 1.06816e7i −1.16395 + 0.600779i
\(262\) −2.21213e7 3.83153e7i −1.23001 2.13044i
\(263\) 3.02923e7 1.74893e7i 1.66519 0.961400i 0.695020 0.718991i \(-0.255396\pi\)
0.970174 0.242409i \(-0.0779376\pi\)
\(264\) 2.89165e7 + 681258.i 1.57157 + 0.0370254i
\(265\) 2.81896e6 0.151479
\(266\) 1.22055e7 + 3.14522e6i 0.648503 + 0.167111i
\(267\) −1.28580e7 + 7.02511e6i −0.675525 + 0.369079i
\(268\) −2.24831e6 + 3.89419e6i −0.116803 + 0.202308i
\(269\) −9.63851e6 + 5.56480e6i −0.495169 + 0.285886i −0.726716 0.686938i \(-0.758954\pi\)
0.231547 + 0.972824i \(0.425621\pi\)
\(270\) −4.90812e6 1.00850e7i −0.249358 0.512369i
\(271\) −1.17083e7 + 2.02794e7i −0.588284 + 1.01894i 0.406173 + 0.913796i \(0.366863\pi\)
−0.994457 + 0.105142i \(0.966470\pi\)
\(272\) 271609.i 0.0134970i
\(273\) 1.46601e7 3.70966e6i 0.720524 0.182325i
\(274\) 3.04489e7 1.48020
\(275\) −2.69847e7 1.55796e7i −1.29754 0.749134i
\(276\) −1.52680e7 9.30118e6i −0.726196 0.442396i
\(277\) −1.91825e6 3.32251e6i −0.0902540 0.156324i 0.817364 0.576122i \(-0.195435\pi\)
−0.907618 + 0.419797i \(0.862101\pi\)
\(278\) −3.63663e7 2.09961e7i −1.69264 0.977245i
\(279\) 1.84710e7 2.87724e7i 0.850508 1.32484i
\(280\) −6.88907e6 + 1.91698e6i −0.313824 + 0.0873258i
\(281\) 2.63996e7i 1.18981i 0.803794 + 0.594907i \(0.202811\pi\)
−0.803794 + 0.594907i \(0.797189\pi\)
\(282\) 5.62877e6 + 132611.i 0.250996 + 0.00591334i
\(283\) 3.21025e6 + 5.56031e6i 0.141638 + 0.245324i 0.928113 0.372297i \(-0.121430\pi\)
−0.786476 + 0.617621i \(0.788097\pi\)
\(284\) 1.16154e7 6.70616e6i 0.507083 0.292765i
\(285\) −80906.1 + 3.43412e6i −0.00349500 + 0.148348i
\(286\) −4.78122e7 −2.04381
\(287\) −2.18445e7 + 2.22679e7i −0.924053 + 0.941964i
\(288\) 2.17017e7 + 1.39318e7i 0.908482 + 0.583218i
\(289\) −1.18556e7 + 2.05344e7i −0.491166 + 0.850724i
\(290\) −1.57648e7 + 9.10182e6i −0.646390 + 0.373194i
\(291\) −1.25800e6 + 2.06501e6i −0.0510506 + 0.0837999i
\(292\) 2.60755e7 4.51641e7i 1.04733 1.81403i
\(293\) 3.45100e7i 1.37196i −0.727619 0.685982i \(-0.759373\pi\)
0.727619 0.685982i \(-0.240627\pi\)
\(294\) 2.02220e7 + 3.53807e7i 0.795759 + 1.39227i
\(295\) −2.94181e6 −0.114591
\(296\) −1.04366e7 6.02558e6i −0.402425 0.232340i
\(297\) 4.03941e7 1.96589e7i 1.54187 0.750395i
\(298\) 2.29552e7 + 3.97596e7i 0.867426 + 1.50243i
\(299\) 9.30899e6 + 5.37455e6i 0.348248 + 0.201061i
\(300\) 1.77771e7 + 3.25373e7i 0.658410 + 1.20509i
\(301\) 2.14824e7 + 2.10740e7i 0.787742 + 0.772763i
\(302\) 9.49790e6i 0.344831i
\(303\) 658449. 2.79483e7i 0.0236698 1.00468i
\(304\) −595662. 1.03172e6i −0.0212021 0.0367231i
\(305\) 1.74438e7 1.00712e7i 0.614812 0.354962i
\(306\) −2.80129e6 5.42722e6i −0.0977673 0.189414i
\(307\) 6.11502e6 0.211341 0.105670 0.994401i \(-0.466301\pi\)
0.105670 + 0.994401i \(0.466301\pi\)
\(308\) −2.11096e7 7.58620e7i −0.722485 2.59640i
\(309\) 5.91782e6 + 1.08314e7i 0.200579 + 0.367120i
\(310\) 1.33628e7 2.31451e7i 0.448552 0.776915i
\(311\) −2.75173e7 + 1.58871e7i −0.914798 + 0.528159i −0.881972 0.471302i \(-0.843784\pi\)
−0.0328262 + 0.999461i \(0.510451\pi\)
\(312\) 1.76725e7 + 1.07660e7i 0.581881 + 0.354480i
\(313\) 1.03822e7 1.79825e7i 0.338577 0.586432i −0.645588 0.763686i \(-0.723388\pi\)
0.984165 + 0.177253i \(0.0567212\pi\)
\(314\) 4.78874e6i 0.154679i
\(315\) −8.14229e6 + 7.55324e6i −0.260504 + 0.241658i
\(316\) −1.48470e7 −0.470518
\(317\) 9.73777e6 + 5.62211e6i 0.305690 + 0.176490i 0.644996 0.764186i \(-0.276859\pi\)
−0.339306 + 0.940676i \(0.610192\pi\)
\(318\) 1.14373e7 1.87744e7i 0.355666 0.583829i
\(319\) −3.64563e7 6.31441e7i −1.12305 1.94518i
\(320\) 1.64333e7 + 9.48779e6i 0.501506 + 0.289544i
\(321\) −2.97628e7 + 1.62612e7i −0.899827 + 0.491628i
\(322\) −7.22836e6 + 2.80509e7i −0.216507 + 0.840192i
\(323\) 1.87054e6i 0.0555086i
\(324\) −5.32186e7 5.02918e6i −1.56469 0.147864i
\(325\) −1.11462e7 1.93058e7i −0.324696 0.562391i
\(326\) 3.30293e7 1.90695e7i 0.953338 0.550410i
\(327\) −4.03341e7 950253.i −1.15353 0.0271767i
\(328\) −4.26863e7 −1.20967
\(329\) −1.49461e6 5.37122e6i −0.0419702 0.150829i
\(330\) 3.08155e7 1.68363e7i 0.857487 0.468496i
\(331\) 1.21424e7 2.10313e7i 0.334827 0.579938i −0.648624 0.761109i \(-0.724655\pi\)
0.983452 + 0.181171i \(0.0579887\pi\)
\(332\) −2.44999e7 + 1.41450e7i −0.669499 + 0.386535i
\(333\) −1.86964e7 881447.i −0.506321 0.0238706i
\(334\) 1.13502e6 1.96592e6i 0.0304625 0.0527626i
\(335\) 1.98561e6i 0.0528152i
\(336\) 1.04874e6 3.70625e6i 0.0276472 0.0977051i
\(337\) 1.16537e7 0.304491 0.152246 0.988343i \(-0.451350\pi\)
0.152246 + 0.988343i \(0.451350\pi\)
\(338\) 2.40038e7 + 1.38586e7i 0.621627 + 0.358896i
\(339\) −2.94166e6 1.79205e6i −0.0755082 0.0459993i
\(340\) −1.45880e6 2.52671e6i −0.0371158 0.0642864i
\(341\) 9.27048e7 + 5.35232e7i 2.33797 + 1.34983i
\(342\) 2.25431e7 + 1.44720e7i 0.563555 + 0.361785i
\(343\) 2.77009e7 2.93440e7i 0.686455 0.727172i
\(344\) 4.11805e7i 1.01162i
\(345\) −7.89231e6 185939.i −0.192197 0.00452807i
\(346\) 5.47920e6 + 9.49026e6i 0.132278 + 0.229113i
\(347\) −2.46675e7 + 1.42418e7i −0.590388 + 0.340860i −0.765251 0.643732i \(-0.777385\pi\)
0.174863 + 0.984593i \(0.444052\pi\)
\(348\) −2.04346e6 + 8.67358e7i −0.0484872 + 2.05807i
\(349\) −4.18490e7 −0.984485 −0.492243 0.870458i \(-0.663823\pi\)
−0.492243 + 0.870458i \(0.663823\pi\)
\(350\) 4.20696e7 4.28851e7i 0.981216 1.00024i
\(351\) 3.20599e7 + 2.26931e6i 0.741380 + 0.0524774i
\(352\) −4.03700e7 + 6.99229e7i −0.925616 + 1.60321i
\(353\) −4.00412e7 + 2.31178e7i −0.910297 + 0.525560i −0.880527 0.473997i \(-0.842811\pi\)
−0.0297702 + 0.999557i \(0.509478\pi\)
\(354\) −1.19358e7 + 1.95926e7i −0.269055 + 0.441655i
\(355\) 2.96128e6 5.12909e6i 0.0661903 0.114645i
\(356\) 5.45849e7i 1.20983i
\(357\) −4.33572e6 + 4.21636e6i −0.0952921 + 0.0926686i
\(358\) −1.07130e7 −0.233488
\(359\) −9.42345e6 5.44063e6i −0.203670 0.117589i 0.394696 0.918812i \(-0.370850\pi\)
−0.598366 + 0.801223i \(0.704183\pi\)
\(360\) −1.51812e7 715721.i −0.325386 0.0153404i
\(361\) 1.94207e7 + 3.36376e7i 0.412803 + 0.714996i
\(362\) −9.61611e6 5.55187e6i −0.202709 0.117034i
\(363\) 4.45022e7 + 8.14522e7i 0.930382 + 1.70288i
\(364\) 1.40580e7 5.45542e7i 0.291486 1.13116i
\(365\) 2.30287e7i 0.473577i
\(366\) 3.69976e6 1.57039e8i 0.0754622 3.20305i
\(367\) 2.55253e7 + 4.42111e7i 0.516384 + 0.894403i 0.999819 + 0.0190228i \(0.00605551\pi\)
−0.483435 + 0.875380i \(0.660611\pi\)
\(368\) 2.37110e6 1.36895e6i 0.0475780 0.0274692i
\(369\) −5.89130e7 + 3.04083e7i −1.17255 + 0.605220i
\(370\) −1.46304e7 −0.288835
\(371\) −2.10803e7 5.43214e6i −0.412815 0.106377i
\(372\) −6.10723e7 1.11781e8i −1.18636 2.17139i
\(373\) 2.55721e7 4.42922e7i 0.492765 0.853494i −0.507200 0.861828i \(-0.669320\pi\)
0.999965 + 0.00833438i \(0.00265295\pi\)
\(374\) 1.65598e7 9.56080e6i 0.316548 0.182759i
\(375\) 2.99847e7 + 1.82666e7i 0.568599 + 0.346389i
\(376\) 3.81469e6 6.60724e6i 0.0717622 0.124296i
\(377\) 5.21642e7i 0.973528i
\(378\) 1.72695e7 + 8.48737e7i 0.319745 + 1.57144i
\(379\) −9.30768e7 −1.70972 −0.854858 0.518862i \(-0.826356\pi\)
−0.854858 + 0.518862i \(0.826356\pi\)
\(380\) 1.10826e7 + 6.39854e6i 0.201972 + 0.116608i
\(381\) 2.78844e7 4.57724e7i 0.504180 0.827616i
\(382\) 4.20365e7 + 7.28094e7i 0.754114 + 1.30616i
\(383\) −6.95337e7 4.01453e7i −1.23765 0.714559i −0.269039 0.963129i \(-0.586706\pi\)
−0.968614 + 0.248570i \(0.920039\pi\)
\(384\) 7.62195e7 4.16432e7i 1.34608 0.735445i
\(385\) −2.48221e7 2.43501e7i −0.434967 0.426697i
\(386\) 1.54740e7i 0.269054i
\(387\) 2.93356e7 + 5.68349e7i 0.506131 + 0.980578i
\(388\) 4.50407e6 + 7.80128e6i 0.0771099 + 0.133558i
\(389\) 5.39859e6 3.11688e6i 0.0917132 0.0529506i −0.453442 0.891286i \(-0.649804\pi\)
0.545155 + 0.838335i \(0.316471\pi\)
\(390\) 2.51155e7 + 591709.i 0.423397 + 0.00997502i
\(391\) −4.29890e6 −0.0719162
\(392\) 5.52108e7 1.06000e6i 0.916571 0.0175973i
\(393\) −8.17121e7 + 4.46441e7i −1.34620 + 0.735507i
\(394\) 1.45942e7 2.52780e7i 0.238612 0.413289i
\(395\) −5.67772e6 + 3.27803e6i −0.0921261 + 0.0531890i
\(396\) 7.88148e6 1.67175e8i 0.126918 2.69206i
\(397\) 3.87684e7 6.71488e7i 0.619592 1.07317i −0.369968 0.929045i \(-0.620631\pi\)
0.989560 0.144121i \(-0.0460354\pi\)
\(398\) 5.70312e6i 0.0904613i
\(399\) 7.22257e6 2.55246e7i 0.113703 0.401828i
\(400\) −5.67812e6 −0.0887207
\(401\) −4.39274e7 2.53615e7i −0.681243 0.393316i 0.119080 0.992885i \(-0.462005\pi\)
−0.800323 + 0.599569i \(0.795339\pi\)
\(402\) 1.32242e7 + 8.05616e6i 0.203560 + 0.124008i
\(403\) 3.82923e7 + 6.63243e7i 0.585055 + 1.01335i
\(404\) −9.01949e7 5.20740e7i −1.36785 0.789727i
\(405\) −2.14621e7 + 9.82680e6i −0.323077 + 0.147927i
\(406\) 1.35429e8 3.76850e7i 2.02365 0.563107i
\(407\) 5.86002e7i 0.869192i
\(408\) −8.27371e6 194925.i −0.121820 0.00287003i
\(409\) 3.65408e7 + 6.32904e7i 0.534082 + 0.925056i 0.999207 + 0.0398118i \(0.0126758\pi\)
−0.465126 + 0.885245i \(0.653991\pi\)
\(410\) −4.48792e7 + 2.59110e7i −0.651168 + 0.375952i
\(411\) 1.50933e6 6.40646e7i 0.0217400 0.922768i
\(412\) 4.59813e7 0.657490
\(413\) 2.19990e7 + 5.66888e6i 0.312287 + 0.0804724i
\(414\) −3.32597e7 + 5.18088e7i −0.468724 + 0.730134i
\(415\) −6.24611e6 + 1.08186e7i −0.0873907 + 0.151365i
\(416\) −5.00253e7 + 2.88821e7i −0.694880 + 0.401189i
\(417\) −4.59784e7 + 7.54740e7i −0.634083 + 1.04085i
\(418\) −4.19353e7 + 7.26340e7i −0.574183 + 0.994515i
\(419\) 107271.i 0.00145828i 1.00000 0.000729142i \(0.000232093\pi\)
−1.00000 0.000729142i \(0.999768\pi\)
\(420\) 1.01499e7 + 4.01111e7i 0.136998 + 0.541398i
\(421\) 1.00991e8 1.35343 0.676716 0.736244i \(-0.263403\pi\)
0.676716 + 0.736244i \(0.263403\pi\)
\(422\) 5.95656e7 + 3.43902e7i 0.792607 + 0.457612i
\(423\) 558028. 1.18364e7i 0.00737285 0.156386i
\(424\) −1.48946e7 2.57983e7i −0.195403 0.338449i
\(425\) 7.72100e6 + 4.45772e6i 0.100579 + 0.0580692i
\(426\) −2.21453e7 4.05325e7i −0.286452 0.524293i
\(427\) −1.49853e8 + 4.16987e7i −1.92478 + 0.535597i
\(428\) 1.26349e8i 1.61154i
\(429\) −2.37002e6 + 1.00597e8i −0.0300179 + 1.27413i
\(430\) 2.49970e7 + 4.32961e7i 0.314400 + 0.544556i
\(431\) 8.86295e7 5.11703e7i 1.10700 0.639125i 0.168947 0.985625i \(-0.445963\pi\)
0.938050 + 0.346500i \(0.112630\pi\)
\(432\) 4.58358e6 6.78295e6i 0.0568530 0.0841332i
\(433\) 5.17987e7 0.638050 0.319025 0.947746i \(-0.396645\pi\)
0.319025 + 0.947746i \(0.396645\pi\)
\(434\) −1.44528e8 + 1.47330e8i −1.76801 + 1.80228i
\(435\) 1.83688e7 + 3.36204e7i 0.223158 + 0.408446i
\(436\) −7.51516e7 + 1.30166e8i −0.906732 + 1.57051i
\(437\) 1.63295e7 9.42785e6i 0.195672 0.112971i
\(438\) −1.53372e8 9.34338e7i −1.82526 1.11194i
\(439\) 5.26595e6 9.12089e6i 0.0622419 0.107806i −0.833225 0.552934i \(-0.813508\pi\)
0.895467 + 0.445127i \(0.146842\pi\)
\(440\) 4.75825e7i 0.558584i
\(441\) 7.54436e7 4.07933e7i 0.879643 0.475634i
\(442\) 1.36803e7 0.158426
\(443\) 8.18071e7 + 4.72313e7i 0.940979 + 0.543274i 0.890267 0.455439i \(-0.150518\pi\)
0.0507116 + 0.998713i \(0.483851\pi\)
\(444\) −3.62773e7 + 5.95495e7i −0.414464 + 0.680345i
\(445\) 1.20517e7 + 2.08742e7i 0.136763 + 0.236880i
\(446\) 9.51650e7 + 5.49435e7i 1.07269 + 0.619316i
\(447\) 8.47922e7 4.63270e7i 0.949365 0.518694i
\(448\) −1.04606e8 1.02617e8i −1.16339 1.14126i
\(449\) 1.56966e8i 1.73407i −0.498245 0.867036i \(-0.666022\pi\)
0.498245 0.867036i \(-0.333978\pi\)
\(450\) 1.13459e8 5.85623e7i 1.24509 0.642659i
\(451\) −1.03783e8 1.79758e8i −1.13135 1.95956i
\(452\) −1.11131e7 + 6.41617e6i −0.120343 + 0.0694801i
\(453\) 1.99836e7 + 470805.i 0.214971 + 0.00506461i
\(454\) −2.00708e8 −2.14485
\(455\) −6.66894e6 2.39663e7i −0.0707983 0.254429i
\(456\) 3.18555e7 1.74045e7i 0.335961 0.183556i
\(457\) 5.48042e7 9.49237e7i 0.574203 0.994548i −0.421925 0.906631i \(-0.638645\pi\)
0.996128 0.0879177i \(-0.0280212\pi\)
\(458\) 1.63280e8 9.42697e7i 1.69956 0.981241i
\(459\) −1.15577e7 + 5.62490e6i −0.119518 + 0.0581670i
\(460\) −1.47052e7 + 2.54701e7i −0.151076 + 0.261672i
\(461\) 1.59203e8i 1.62498i 0.582975 + 0.812490i \(0.301889\pi\)
−0.582975 + 0.812490i \(0.698111\pi\)
\(462\) −2.62884e8 + 6.65214e7i −2.66586 + 0.674583i
\(463\) 1.14258e8 1.15118 0.575591 0.817738i \(-0.304772\pi\)
0.575591 + 0.817738i \(0.304772\pi\)
\(464\) −1.15067e7 6.64339e6i −0.115185 0.0665021i
\(465\) −4.80349e7 2.92627e7i −0.477747 0.291042i
\(466\) −1.78547e7 3.09252e7i −0.176439 0.305601i
\(467\) 1.52263e8 + 8.79092e7i 1.49501 + 0.863145i 0.999984 0.00573225i \(-0.00182464\pi\)
0.495028 + 0.868877i \(0.335158\pi\)
\(468\) 6.46845e7 1.00760e8i 0.631049 0.982989i
\(469\) 3.82627e6 1.48485e7i 0.0370900 0.143934i
\(470\) 9.26222e6i 0.0892117i
\(471\) 1.00755e7 + 237374.i 0.0964283 + 0.00227181i
\(472\) 1.55438e7 + 2.69226e7i 0.147819 + 0.256030i
\(473\) −1.73417e8 + 1.00122e8i −1.63874 + 0.946124i
\(474\) −1.20422e6 + 5.11139e7i −0.0113076 + 0.479958i
\(475\) −3.91046e7 −0.364878
\(476\) 6.03999e6 + 2.17060e7i 0.0560035 + 0.201261i
\(477\) −3.89345e7 2.49948e7i −0.358740 0.230300i
\(478\) −6.95153e7 + 1.20404e8i −0.636497 + 1.10245i
\(479\) 8.54411e7 4.93295e7i 0.777428 0.448848i −0.0580898 0.998311i \(-0.518501\pi\)
0.835518 + 0.549463i \(0.185168\pi\)
\(480\) 2.20715e7 3.62305e7i 0.199576 0.327605i
\(481\) 2.09623e7 3.63078e7i 0.188367 0.326261i
\(482\) 2.82214e8i 2.52021i
\(483\) 5.86608e7 + 1.65990e7i 0.520603 + 0.147312i
\(484\) 3.45781e8 3.04975
\(485\) 3.44486e6 + 1.98889e6i 0.0301958 + 0.0174336i
\(486\) −2.16305e7 + 1.82809e8i −0.188434 + 1.59253i
\(487\) 2.31500e7 + 4.00971e7i 0.200431 + 0.347157i 0.948667 0.316276i \(-0.102432\pi\)
−0.748236 + 0.663432i \(0.769099\pi\)
\(488\) −1.84337e8 1.06427e8i −1.58618 0.915783i
\(489\) −3.84850e7 7.04391e7i −0.329128 0.602403i
\(490\) 5.74037e7 3.46280e7i 0.487923 0.294333i
\(491\) 1.10518e8i 0.933661i 0.884347 + 0.466830i \(0.154604\pi\)
−0.884347 + 0.466830i \(0.845396\pi\)
\(492\) −5.81729e6 + 2.46919e8i −0.0488456 + 2.07329i
\(493\) 1.04310e7 + 1.80671e7i 0.0870536 + 0.150781i
\(494\) −5.19649e7 + 3.00020e7i −0.431052 + 0.248868i
\(495\) −3.38962e7 6.56705e7i −0.279470 0.541445i
\(496\) 1.95069e7 0.159862
\(497\) −3.20284e7 + 3.26492e7i −0.260895 + 0.265952i
\(498\) 4.67101e7 + 8.54934e7i 0.378201 + 0.692221i
\(499\) −5.24098e7 + 9.07764e7i −0.421804 + 0.730586i −0.996116 0.0880508i \(-0.971936\pi\)
0.574312 + 0.818636i \(0.305270\pi\)
\(500\) 1.13278e8 6.54008e7i 0.906220 0.523206i
\(501\) −4.08003e6 2.48554e6i −0.0324452 0.0197655i
\(502\) 1.04812e8 1.81540e8i 0.828514 1.43503i
\(503\) 5.65796e7i 0.444586i −0.974980 0.222293i \(-0.928646\pi\)
0.974980 0.222293i \(-0.0713542\pi\)
\(504\) 1.12147e8 + 3.46064e7i 0.875981 + 0.270312i
\(505\) −4.59893e7 −0.357094
\(506\) −1.66928e8 9.63759e7i −1.28848 0.743904i
\(507\) 3.03484e7 4.98171e7i 0.232869 0.382256i
\(508\) −9.98359e7 1.72921e8i −0.761545 1.31903i
\(509\) −1.57230e8 9.07767e7i −1.19229 0.688369i −0.233464 0.972365i \(-0.575006\pi\)
−0.958825 + 0.283997i \(0.908339\pi\)
\(510\) −8.81707e6 + 4.81729e6i −0.0664682 + 0.0363155i
\(511\) −4.43763e7 + 1.72210e8i −0.332574 + 1.29061i
\(512\) 2.72071e7i 0.202709i
\(513\) 3.15666e7 4.67135e7i 0.233817 0.346011i
\(514\) −1.27628e8 2.21057e8i −0.939842 1.62785i
\(515\) 1.75840e7 1.01521e7i 0.128735 0.0743250i
\(516\) 2.38209e8 + 5.61209e6i 1.73384 + 0.0408484i
\(517\) 3.70987e7 0.268465
\(518\) 1.09407e8 + 2.81927e7i 0.787144 + 0.202837i
\(519\) 2.02391e7 1.10578e7i 0.144774 0.0790985i
\(520\) 1.70211e7 2.94814e7i 0.121053 0.209671i
\(521\) −6.25687e7 + 3.61241e7i −0.442429 + 0.255437i −0.704628 0.709577i \(-0.748886\pi\)
0.262198 + 0.965014i \(0.415553\pi\)
\(522\) 2.98441e8 + 1.40701e7i 2.09820 + 0.0989202i
\(523\) −4.41162e7 + 7.64114e7i −0.308385 + 0.534138i −0.978009 0.208562i \(-0.933122\pi\)
0.669625 + 0.742700i \(0.266455\pi\)
\(524\) 3.46884e8i 2.41096i
\(525\) −8.81450e7 9.06405e7i −0.609144 0.626389i
\(526\) −4.48744e8 −3.08348
\(527\) −2.65251e7 1.53143e7i −0.181228 0.104632i
\(528\) 2.18885e7 + 1.33344e7i 0.148701 + 0.0905880i
\(529\) −5.23508e7 9.06743e7i −0.353636 0.612515i
\(530\) −3.13196e7 1.80824e7i −0.210372 0.121459i
\(531\) 4.06313e7 + 2.60841e7i 0.271380 + 0.174218i
\(532\) −7.05462e7 6.92048e7i −0.468531 0.459622i
\(533\) 1.48501e8i 0.980724i
\(534\) 1.87920e8 + 4.42731e6i 1.23410 + 0.0290748i
\(535\) 2.78964e7 + 4.83179e7i 0.182174 + 0.315535i
\(536\) 1.81717e7 1.04914e7i 0.118005 0.0681302i
\(537\) −531038. + 2.25403e7i −0.00342928 + 0.145558i
\(538\) 1.42783e8 0.916916
\(539\) 1.38698e8 + 2.29924e8i 0.885737 + 1.46831i
\(540\) −6.20899e6 + 8.77183e7i −0.0394312 + 0.557069i
\(541\) −3.40703e7 + 5.90115e7i −0.215171 + 0.372687i −0.953326 0.301944i \(-0.902364\pi\)
0.738154 + 0.674632i \(0.235698\pi\)
\(542\) 2.60167e8 1.50208e8i 1.63401 0.943396i
\(543\) −1.21578e7 + 1.99571e7i −0.0759374 + 0.124652i
\(544\) 1.15509e7 2.00067e7i 0.0717493 0.124273i
\(545\) 6.63704e7i 0.410001i
\(546\) −1.86675e8 5.28224e7i −1.14685 0.324519i
\(547\) −1.33802e8 −0.817522 −0.408761 0.912641i \(-0.634039\pi\)
−0.408761 + 0.912641i \(0.634039\pi\)
\(548\) −2.06750e8 1.19367e8i −1.25633 0.725341i
\(549\) −3.30226e8 1.55686e7i −1.99570 0.0940876i
\(550\) 1.99873e8 + 3.46190e8i 1.20134 + 2.08078i
\(551\) −7.92453e7 4.57523e7i −0.473717 0.273501i
\(552\) 3.99992e7 + 7.32104e7i 0.237812 + 0.435267i
\(553\) 4.87751e7 1.35723e7i 0.288418 0.0802562i
\(554\) 4.92190e7i 0.289470i
\(555\) −725217. + 3.07823e7i −0.00424218 + 0.180062i
\(556\) 1.64619e8 + 2.85129e8i 0.957758 + 1.65889i
\(557\) −1.37756e8 + 7.95336e7i −0.797161 + 0.460241i −0.842477 0.538732i \(-0.818904\pi\)
0.0453167 + 0.998973i \(0.485570\pi\)
\(558\) −3.89782e8 + 2.01188e8i −2.24347 + 1.15798i
\(559\) −1.43262e8 −0.820156
\(560\) −6.13595e6 1.58116e6i −0.0349396 0.00900350i
\(561\) −1.92951e7 3.53158e7i −0.109284 0.200023i
\(562\) 1.69342e8 2.93309e8i 0.954017 1.65241i
\(563\) −2.27943e8 + 1.31603e8i −1.27732 + 0.737462i −0.976355 0.216173i \(-0.930642\pi\)
−0.300966 + 0.953635i \(0.597309\pi\)
\(564\) −3.76997e7 2.29665e7i −0.210136 0.128014i
\(565\) −2.83323e6 + 4.90730e6i −0.0157086 + 0.0272080i
\(566\) 8.23693e7i 0.454272i
\(567\) 1.79431e8 3.21279e7i 0.984345 0.176252i
\(568\) −6.25865e7 −0.341535
\(569\) 9.09408e7 + 5.25047e7i 0.493653 + 0.285011i 0.726089 0.687601i \(-0.241336\pi\)
−0.232436 + 0.972612i \(0.574669\pi\)
\(570\) 2.29272e7 3.76352e7i 0.123802 0.203222i
\(571\) 2.45002e7 + 4.24355e7i 0.131601 + 0.227940i 0.924294 0.381681i \(-0.124655\pi\)
−0.792693 + 0.609622i \(0.791321\pi\)
\(572\) 3.24647e8 + 1.87435e8i 1.73470 + 1.00153i
\(573\) 1.55275e8 8.48359e7i 0.825349 0.450937i
\(574\) 3.85539e8 1.07281e8i 2.03860 0.567269i
\(575\) 8.98706e7i 0.472731i
\(576\) −1.42847e8 2.76751e8i −0.747485 1.44818i
\(577\) 8.86675e7 + 1.53577e8i 0.461570 + 0.799462i 0.999039 0.0438210i \(-0.0139531\pi\)
−0.537470 + 0.843283i \(0.680620\pi\)
\(578\) 2.63439e8 1.52096e8i 1.36426 0.787653i
\(579\) −3.25573e7 767035.i −0.167731 0.00395166i
\(580\) 1.42725e8 0.731504
\(581\) 6.75561e7 6.88656e7i 0.344458 0.351135i
\(582\) 2.72229e7 1.48735e7i 0.138091 0.0754473i
\(583\) 7.24269e7 1.25447e8i 0.365506 0.633074i
\(584\) −2.10751e8 + 1.21677e8i −1.05811 + 0.610902i
\(585\) 2.48991e6 5.28137e7i 0.0124370 0.263803i
\(586\) −2.21367e8 + 3.83418e8i −1.10007 + 1.90537i
\(587\) 2.24276e8i 1.10884i 0.832238 + 0.554418i \(0.187059\pi\)
−0.832238 + 0.554418i \(0.812941\pi\)
\(588\) 1.39258e6 3.19512e8i 0.00684996 1.57165i
\(589\) 1.34342e8 0.657456
\(590\) 3.26846e7 + 1.88704e7i 0.159143 + 0.0918811i
\(591\) −5.24615e7 3.19593e7i −0.254143 0.154823i
\(592\) −5.33932e6 9.24798e6i −0.0257348 0.0445740i
\(593\) 1.86239e8 + 1.07525e8i 0.893112 + 0.515638i 0.874959 0.484197i \(-0.160888\pi\)
0.0181527 + 0.999835i \(0.494221\pi\)
\(594\) −5.74895e8 4.06930e7i −2.74302 0.194160i
\(595\) 7.10222e6 + 6.96717e6i 0.0337166 + 0.0330754i
\(596\) 3.59959e8i 1.70026i
\(597\) −1.19994e7 282700.i −0.0563943 0.00132862i
\(598\) −6.89507e7 1.19426e8i −0.322430 0.558465i
\(599\) 1.54055e8 8.89438e7i 0.716796 0.413842i −0.0967762 0.995306i \(-0.530853\pi\)
0.813572 + 0.581464i \(0.197520\pi\)
\(600\) 4.07500e6 1.72966e8i 0.0188657 0.800769i
\(601\) −5.02762e7 −0.231600 −0.115800 0.993273i \(-0.536943\pi\)
−0.115800 + 0.993273i \(0.536943\pi\)
\(602\) −1.03497e8 3.71939e8i −0.474394 1.70484i
\(603\) 1.76057e7 2.74245e7i 0.0802974 0.125080i
\(604\) 3.72340e7 6.44912e7i 0.168978 0.292678i
\(605\) 1.32232e8 7.63443e7i 0.597133 0.344755i
\(606\) −1.86592e8 + 3.06292e8i −0.838445 + 1.37631i
\(607\) 1.44612e8 2.50476e8i 0.646605 1.11995i −0.337323 0.941389i \(-0.609522\pi\)
0.983928 0.178564i \(-0.0571452\pi\)
\(608\) 1.01328e8i 0.450836i
\(609\) −7.25763e7 2.86812e8i −0.321324 1.26983i
\(610\) −2.58409e8 −1.13846
\(611\) 2.29858e7 + 1.32709e7i 0.100771 + 0.0581803i
\(612\) −2.25509e6 + 4.78328e7i −0.00983805 + 0.208675i
\(613\) −2.09756e8 3.63308e8i −0.910610 1.57722i −0.813204 0.581979i \(-0.802279\pi\)
−0.0974066 0.995245i \(-0.531055\pi\)
\(614\) −6.79400e7 3.92252e7i −0.293508 0.169457i
\(615\) 5.22922e7 + 9.57103e7i 0.224808 + 0.411465i
\(616\) −9.16915e7 + 3.55824e8i −0.392272 + 1.52228i
\(617\) 2.15704e8i 0.918340i −0.888348 0.459170i \(-0.848147\pi\)
0.888348 0.459170i \(-0.151853\pi\)
\(618\) 3.72948e6 1.58300e8i 0.0158009 0.670682i
\(619\) 1.82813e8 + 3.16642e8i 0.770789 + 1.33505i 0.937131 + 0.348978i \(0.113471\pi\)
−0.166341 + 0.986068i \(0.553195\pi\)
\(620\) −1.81468e8 + 1.04771e8i −0.761422 + 0.439607i
\(621\) 1.07357e8 + 7.25466e7i 0.448287 + 0.302930i
\(622\) 4.07636e8 1.69395
\(623\) −4.98987e7 1.79322e8i −0.206360 0.741599i
\(624\) 8.79182e6 + 1.60917e7i 0.0361847 + 0.0662288i
\(625\) −7.77781e7 + 1.34716e8i −0.318579 + 0.551795i
\(626\) −2.30700e8 + 1.33195e8i −0.940426 + 0.542955i
\(627\) 1.50744e8 + 9.18324e7i 0.611556 + 0.372557i
\(628\) 1.87730e7 3.25157e7i 0.0757974 0.131285i
\(629\) 1.67670e7i 0.0673755i
\(630\) 1.38914e8 3.16899e7i 0.555553 0.126736i
\(631\) 7.53050e7 0.299734 0.149867 0.988706i \(-0.452115\pi\)
0.149867 + 0.988706i \(0.452115\pi\)
\(632\) 5.99991e7 + 3.46405e7i 0.237681 + 0.137225i
\(633\) 7.53097e7 1.23621e8i 0.296920 0.487397i
\(634\) −7.21267e7 1.24927e8i −0.283027 0.490217i
\(635\) −7.63578e7 4.40852e7i −0.298217 0.172176i
\(636\) −1.51260e8 + 8.26423e7i −0.587967 + 0.321241i
\(637\) 3.68761e6 + 1.92072e8i 0.0142668 + 0.743098i
\(638\) 9.35404e8i 3.60195i
\(639\) −8.63781e7 + 4.45846e7i −0.331056 + 0.170876i
\(640\) −7.14397e7 1.23737e8i −0.272521 0.472020i
\(641\) 2.73901e8 1.58137e8i 1.03997 0.600424i 0.120142 0.992757i \(-0.461665\pi\)
0.919824 + 0.392332i \(0.128332\pi\)
\(642\) 4.34983e8 + 1.02480e7i 1.64387 + 0.0387288i
\(643\) −4.41742e8 −1.66163 −0.830817 0.556546i \(-0.812126\pi\)
−0.830817 + 0.556546i \(0.812126\pi\)
\(644\) 1.59047e8 1.62130e8i 0.595480 0.607023i
\(645\) 9.23341e7 5.04476e7i 0.344099 0.188001i
\(646\) 1.19987e7 2.07824e7i 0.0445079 0.0770900i
\(647\) −2.77420e8 + 1.60169e8i −1.02429 + 0.591377i −0.915345 0.402670i \(-0.868082\pi\)
−0.108950 + 0.994047i \(0.534749\pi\)
\(648\) 2.03332e8 + 1.44492e8i 0.747274 + 0.531030i
\(649\) −7.55833e7 + 1.30914e8i −0.276498 + 0.478909i
\(650\) 2.85992e8i 1.04139i
\(651\) 3.02818e8 + 3.11391e8i 1.09759 + 1.12866i
\(652\) −2.99028e8 −1.07887
\(653\) −6.03095e7 3.48197e7i −0.216594 0.125050i 0.387778 0.921753i \(-0.373243\pi\)
−0.604372 + 0.796702i \(0.706576\pi\)
\(654\) 4.42031e8 + 2.69283e8i 1.58023 + 0.962667i
\(655\) 7.65878e7 + 1.32654e8i 0.272544 + 0.472059i
\(656\) −3.27571e7 1.89123e7i −0.116036 0.0669937i
\(657\) −2.04188e8 + 3.18064e8i −0.720001 + 1.12155i
\(658\) −1.78483e7 + 6.92634e7i −0.0626498 + 0.243123i
\(659\) 2.37471e8i 0.829765i 0.909875 + 0.414882i \(0.136177\pi\)
−0.909875 + 0.414882i \(0.863823\pi\)
\(660\) −2.75241e8 6.48455e6i −0.957374 0.0225553i
\(661\) 3.62613e6 + 6.28064e6i 0.0125556 + 0.0217470i 0.872235 0.489087i \(-0.162670\pi\)
−0.859679 + 0.510834i \(0.829337\pi\)
\(662\) −2.69813e8 + 1.55776e8i −0.930012 + 0.536943i
\(663\) 678121. 2.87833e7i 0.00232684 0.0987643i
\(664\) 1.32011e8 0.450927
\(665\) −4.22576e7 1.08893e7i −0.143695 0.0370283i
\(666\) 2.02070e8 + 1.29722e8i 0.684035 + 0.439129i
\(667\) 1.05148e8 1.82122e8i 0.354344 0.613741i
\(668\) −1.54137e7 + 8.89911e6i −0.0517104 + 0.0298550i
\(669\) 1.20319e8 1.97504e8i 0.401841 0.659626i
\(670\) 1.27368e7 2.20608e7i 0.0423482 0.0733493i
\(671\) 1.03503e9i 3.42598i
\(672\) −2.34868e8 + 2.28402e8i −0.773955 + 0.752647i
\(673\) 4.94626e8 1.62268 0.811338 0.584577i \(-0.198740\pi\)
0.811338 + 0.584577i \(0.198740\pi\)
\(674\) −1.29477e8 7.47535e7i −0.422875 0.244147i
\(675\) −1.17591e8 2.41620e8i −0.382352 0.785637i
\(676\) −1.08658e8 1.88201e8i −0.351740 0.609231i
\(677\) −3.10383e8 1.79200e8i −1.00030 0.577526i −0.0919660 0.995762i \(-0.529315\pi\)
−0.908338 + 0.418236i \(0.862648\pi\)
\(678\) 2.11877e7 + 3.87798e7i 0.0679821 + 0.124427i
\(679\) −2.19283e7 2.15113e7i −0.0700479 0.0687159i
\(680\) 1.36145e7i 0.0432988i
\(681\) −9.94895e6 + 4.22290e8i −0.0315018 + 1.33712i
\(682\) −6.86655e8 1.18932e9i −2.16464 3.74927i
\(683\) 8.87610e7 5.12462e7i 0.278586 0.160842i −0.354197 0.935171i \(-0.615246\pi\)
0.632783 + 0.774329i \(0.281912\pi\)
\(684\) −9.63353e7 1.86640e8i −0.301035 0.583226i
\(685\) −1.05419e8 −0.327981
\(686\) −4.95996e8 + 1.48333e8i −1.53641 + 0.459478i
\(687\) −1.90250e8 3.48214e8i −0.586752 1.07393i
\(688\) −1.82452e7 + 3.16016e7i −0.0560252 + 0.0970385i
\(689\) 8.97492e7 5.18167e7i 0.274393 0.158421i
\(690\) 8.64936e7 + 5.26915e7i 0.263291 + 0.160396i
\(691\) −1.77897e8 + 3.08126e8i −0.539180 + 0.933887i 0.459768 + 0.888039i \(0.347932\pi\)
−0.998948 + 0.0458485i \(0.985401\pi\)
\(692\) 8.59191e7i 0.259281i
\(693\) 1.26930e8 + 5.56405e8i 0.381387 + 1.67183i
\(694\) 3.65420e8 1.09324
\(695\) 1.25906e8 + 7.26919e7i 0.375053 + 0.216537i
\(696\) 2.10628e8 3.45747e8i 0.624723 1.02549i
\(697\) 2.96950e7 + 5.14332e7i 0.0876971 + 0.151896i
\(698\) 4.64957e8 + 2.68443e8i 1.36725 + 0.789380i
\(699\) −6.59518e7 + 3.60334e7i −0.193106 + 0.105505i
\(700\) −4.53775e8 + 1.26269e8i −1.32296 + 0.368131i
\(701\) 1.69075e8i 0.490825i 0.969419 + 0.245412i \(0.0789233\pi\)
−0.969419 + 0.245412i \(0.921077\pi\)
\(702\) −3.41640e8 2.30863e8i −0.987546 0.667333i
\(703\) −3.67714e7 6.36899e7i −0.105839 0.183318i
\(704\) 8.44436e8 4.87535e8i 2.42018 1.39729i
\(705\) −1.94877e7 459122.i −0.0556153 0.00131027i
\(706\) 5.93162e8 1.68562
\(707\) 3.43911e8 + 8.86216e7i 0.973167 + 0.250773i
\(708\) 1.57852e8 8.62440e7i 0.444786 0.243013i
\(709\) 2.86163e7 4.95648e7i 0.0802924 0.139070i −0.823083 0.567921i \(-0.807748\pi\)
0.903376 + 0.428850i \(0.141081\pi\)
\(710\) −6.58017e7 + 3.79906e7i −0.183849 + 0.106145i
\(711\) 1.07484e8 + 5.06736e6i 0.299044 + 0.0140985i
\(712\) 1.27356e8 2.20587e8i 0.352841 0.611139i
\(713\) 3.08746e8i 0.851791i
\(714\) 7.52175e7 1.90334e7i 0.206645 0.0522904i
\(715\) 1.65534e8 0.452865
\(716\) 7.27420e7 + 4.19976e7i 0.198174 + 0.114416i
\(717\) 2.49885e8 + 1.52229e8i 0.677926 + 0.412990i
\(718\) 6.97985e7 + 1.20895e8i 0.188570 + 0.326613i
\(719\) −2.03117e8 1.17269e8i −0.546461 0.315499i 0.201233 0.979543i \(-0.435505\pi\)
−0.747693 + 0.664044i \(0.768839\pi\)
\(720\) −1.13329e7 7.27534e6i −0.0303628 0.0194920i
\(721\) −1.51057e8 + 4.20337e7i −0.403028 + 0.112148i
\(722\) 4.98300e8i 1.32397i
\(723\) −5.93779e8 1.39892e7i −1.57112 0.0370149i
\(724\) 4.35292e7 + 7.53949e7i 0.114701 + 0.198667i
\(725\) −3.77701e8 + 2.18066e8i −0.991139 + 0.572234i
\(726\) 2.80458e7 1.19042e9i 0.0732923 3.11094i
\(727\) 4.40253e8 1.14577 0.572887 0.819634i \(-0.305823\pi\)
0.572887 + 0.819634i \(0.305823\pi\)
\(728\) −1.84095e8 + 1.87664e8i −0.477143 + 0.486391i
\(729\) 3.83558e8 + 5.45724e7i 0.990029 + 0.140861i
\(730\) −1.47719e8 + 2.55857e8i −0.379723 + 0.657700i
\(731\) 4.96189e7 2.86475e7i 0.127027 0.0733390i
\(732\) −6.40750e8 + 1.05180e9i −1.63364 + 2.68163i
\(733\) −2.27236e8 + 3.93584e8i −0.576985 + 0.999367i 0.418838 + 0.908061i \(0.362438\pi\)
−0.995823 + 0.0913064i \(0.970896\pi\)
\(734\) 6.54934e8i 1.65619i
\(735\) −7.00119e7 1.22494e8i −0.176323 0.308498i
\(736\) −2.32873e8 −0.584097
\(737\) 8.83618e7 + 5.10157e7i 0.220730 + 0.127439i
\(738\) 8.49600e8 + 4.00546e7i 2.11371 + 0.0996513i
\(739\) −3.37304e8 5.84227e8i −0.835772 1.44760i −0.893401 0.449261i \(-0.851687\pi\)
0.0576292 0.998338i \(-0.481646\pi\)
\(740\) 9.93408e7 + 5.73544e7i 0.245150 + 0.141538i
\(741\) 6.05484e7 + 1.10822e8i 0.148815 + 0.272376i
\(742\) 1.99365e8 + 1.95574e8i 0.488019 + 0.478740i
\(743\) 6.64016e8i 1.61887i 0.587210 + 0.809435i \(0.300226\pi\)
−0.587210 + 0.809435i \(0.699774\pi\)
\(744\) −1.39995e7 + 5.94217e8i −0.0339933 + 1.44287i
\(745\) −7.94748e7 1.37654e8i −0.192203 0.332906i
\(746\) −5.68229e8 + 3.28067e8i −1.36870 + 0.790217i
\(747\) 1.82194e8 9.40404e7i 0.437091 0.225607i
\(748\) −1.49922e8 −0.358229
\(749\) −1.15502e8 4.15080e8i −0.274880 0.987840i
\(750\) −2.15969e8 3.95287e8i −0.511926 0.936976i
\(751\) 3.82313e7 6.62185e7i 0.0902607 0.156336i −0.817360 0.576127i \(-0.804563\pi\)
0.907621 + 0.419791i \(0.137897\pi\)
\(752\) 5.85473e6 3.38023e6i 0.0137675 0.00794864i
\(753\) −3.76765e8 2.29524e8i −0.882440 0.537579i
\(754\) −3.34610e8 + 5.79562e8i −0.780594 + 1.35203i
\(755\) 3.28833e7i 0.0764073i
\(756\) 2.15464e8 6.43997e8i 0.498667 1.49045i
\(757\) −3.64982e8 −0.841364 −0.420682 0.907208i \(-0.638209\pi\)
−0.420682 + 0.907208i \(0.638209\pi\)
\(758\) 1.03412e9 + 5.97047e8i 2.37444 + 1.37088i
\(759\) −2.11050e8 + 3.46440e8i −0.482680 + 0.792323i
\(760\) −2.98578e7 5.17152e7i −0.0680169 0.117809i
\(761\) 5.00056e8 + 2.88708e8i 1.13466 + 0.655095i 0.945102 0.326775i \(-0.105962\pi\)
0.189556 + 0.981870i \(0.439295\pi\)
\(762\) −6.03415e8 + 3.29681e8i −1.36380 + 0.745125i
\(763\) 1.27896e8 4.96321e8i 0.287927 1.11735i
\(764\) 6.59172e8i 1.47815i
\(765\) 9.69853e6 + 1.87899e7i 0.0216632 + 0.0419702i
\(766\) 5.15029e8 + 8.92056e8i 1.14590