Properties

Label 21.7.h.a.11.13
Level $21$
Weight $7$
Character 21.11
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 11.13
Character \(\chi\) \(=\) 21.11
Dual form 21.7.h.a.2.13

$q$-expansion

\(f(q)\) \(=\) \(q+(11.1103 - 6.41456i) q^{2} +(26.9925 + 0.635931i) q^{3} +(50.2932 - 87.1103i) q^{4} +(-38.4659 + 22.2083i) q^{5} +(303.975 - 166.080i) q^{6} +(-244.854 + 240.199i) q^{7} -469.371i q^{8} +(728.191 + 34.3307i) q^{9} +O(q^{10})\) \(q+(11.1103 - 6.41456i) q^{2} +(26.9925 + 0.635931i) 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} +(728.191 + 34.3307i) q^{9} +(-284.913 + 493.483i) q^{10} +(-1976.59 - 1141.18i) q^{11} +(1412.94 - 2319.34i) 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} +(8310.67 - 4289.60i) q^{18} +(1432.18 + 2480.60i) q^{19} +4467.70i q^{20} +(-6761.98 + 6327.85i) q^{21} -29280.8 q^{22} +(-5700.94 + 3291.44i) q^{23} +(298.487 - 12669.5i) 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} +(-8004.33 + 13139.2i) q^{30} +(23450.7 - 40617.8i) q^{31} +(30636.1 + 17687.8i) q^{32} +(-52627.4 - 32060.4i) 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} +(44075.7 + 1038.40i) q^{39} +(10423.9 + 18054.8i) q^{40} -90943.6i q^{41} +(-34537.6 + 113680. i) q^{42} -87735.6 q^{43} +(-198818. + 114788. i) q^{44} +(-28772.9 + 14851.3i) 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} +(15058.0 + 9173.27i) q^{51} +(82123.1 - 142241. i) q^{52} +(-54963.5 - 31733.2i) q^{53} +(227054. - 110502. 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} +(-2841.15 + 120594. i) q^{60} +(226744. + 392733. i) q^{61} -601704. i q^{62} +(-186547. + 166504. i) q^{63} +427218. q^{64} +(-62810.4 + 36263.6i) q^{65} +(-790362. - 18620.6i) 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} +(16113.8 - 341792. i) q^{72} +(-259235. + 449009. i) q^{73} +(285260. + 164695. i) q^{74} +(-191772. + 314795. i) 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} +(529084. + 49998.7i) q^{81} +(-583363. - 1.01041e6i) q^{82} +281251. i q^{83} +(211140. + 907286. i) q^{84} -29005.9 q^{85} +(-974772. + 562785. i) q^{86} +(20315.4 - 862302. 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} +(658823. - 1.08146e6i) q^{93} +(-104265. + 180593. i) q^{94} +(-110180. - 63612.4i) q^{95} +(815697. + 496920. i) q^{96} +89556.3 q^{97} +(-729437. - 1.32137e6i) q^{98} +(-1.40016e6 - 898858. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28 q - q^{3} + 382 q^{4} - 356 q^{6} + 1120 q^{7} + 1031 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 28 q - q^{3} + 382 q^{4} - 356 q^{6} + 1120 q^{7} + 1031 q^{9} - 930 q^{10} - 404 q^{12} + 3632 q^{13} + 5450 q^{15} - 13706 q^{16} + 1612 q^{18} + 6830 q^{19} - 11333 q^{21} - 27348 q^{22} - 54498 q^{24} - 7640 q^{25} + 13268 q^{27} + 88522 q^{28} + 32380 q^{30} + 69410 q^{31} - 85459 q^{33} - 31344 q^{34} + 399028 q^{36} - 71830 q^{37} + 104570 q^{39} + 230250 q^{40} - 467782 q^{42} - 498904 q^{43} - 85375 q^{45} - 342660 q^{46} - 324728 q^{48} + 395668 q^{49} + 42177 q^{51} + 218000 q^{52} - 402122 q^{54} + 231660 q^{55} + 786782 q^{57} + 459522 q^{58} + 1021150 q^{60} + 153158 q^{61} + 179011 q^{63} - 1399412 q^{64} + 80896 q^{66} - 977098 q^{67} - 1520742 q^{69} - 139650 q^{70} - 1001352 q^{72} - 488350 q^{73} + 1434610 q^{75} + 6196280 q^{76} + 245176 q^{78} + 380762 q^{79} + 893531 q^{81} - 3665004 q^{82} + 1231496 q^{84} - 912540 q^{85} + 1452416 q^{87} - 1522482 q^{88} - 11713820 q^{90} - 1529416 q^{91} - 1690071 q^{93} - 3034044 q^{94} + 7549346 q^{96} + 7212176 q^{97} + 435866 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(8\) \(10\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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 \(-0.370532\pi\)
0.993179 + 0.116597i \(0.0371986\pi\)
\(3\) 26.9925 + 0.635931i 0.999723 + 0.0235530i
\(4\) 50.2932 87.1103i 0.785831 1.36110i
\(5\) −38.4659 + 22.2083i −0.307727 + 0.177666i −0.645909 0.763414i \(-0.723521\pi\)
0.338182 + 0.941081i \(0.390188\pi\)
\(6\) 303.975 166.080i 1.40729 0.768887i
\(7\) −244.854 + 240.199i −0.713861 + 0.700287i
\(8\) 469.371i 0.916739i
\(9\) 728.191 + 34.3307i 0.998891 + 0.0470929i
\(10\) −284.913 + 493.483i −0.284913 + 0.493483i
\(11\) −1976.59 1141.18i −1.48504 0.857389i −0.485186 0.874411i \(-0.661248\pi\)
−0.999855 + 0.0170219i \(0.994581\pi\)
\(12\) 1412.94 2319.34i 0.817671 1.34221i
\(13\) 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 \(-0.312163\pi\)
−0.441338 + 0.897341i \(0.645496\pi\)
\(18\) 8310.67 4289.60i 1.42501 0.735528i
\(19\) 1432.18 + 2480.60i 0.208803 + 0.361657i 0.951338 0.308151i \(-0.0997101\pi\)
−0.742535 + 0.669807i \(0.766377\pi\)
\(20\) 4467.70i 0.558463i
\(21\) −6761.98 + 6327.85i −0.730157 + 0.683279i
\(22\) −29280.8 −2.74989
\(23\) −5700.94 + 3291.44i −0.468558 + 0.270522i −0.715636 0.698474i \(-0.753863\pi\)
0.247078 + 0.968996i \(0.420530\pi\)
\(24\) 298.487 12669.5i 0.0215920 0.916485i
\(25\) −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 \(-0.227300\pi\)
\(30\) −8004.33 + 13139.2i −0.296457 + 0.486636i
\(31\) 23450.7 40617.8i 0.787174 1.36343i −0.140518 0.990078i \(-0.544877\pi\)
0.927692 0.373347i \(-0.121790\pi\)
\(32\) 30636.1 + 17687.8i 0.934940 + 0.539788i
\(33\) −52627.4 32060.4i −1.46444 0.892128i
\(34\) 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 0.964471 0.264188i \(-0.0851041\pi\)
−0.711029 + 0.703162i \(0.751771\pi\)
\(38\) 31824.0 + 18373.6i 0.579967 + 0.334844i
\(39\) 44075.7 + 1038.40i 0.743029 + 0.0175054i
\(40\) 10423.9 + 18054.8i 0.162874 + 0.282106i
\(41\) 90943.6i 1.31953i −0.751470 0.659767i \(-0.770655\pi\)
0.751470 0.659767i \(-0.229345\pi\)
\(42\) −34537.6 + 113680.i −0.466170 + 1.53439i
\(43\) −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
\(45\) −28772.9 + 14851.3i −0.315752 + 0.162977i
\(46\) −42226.3 + 73138.0i −0.433820 + 0.751398i
\(47\) −14076.8 + 8127.24i −0.135585 + 0.0782798i −0.566258 0.824228i \(-0.691609\pi\)
0.430673 + 0.902508i \(0.358276\pi\)
\(48\) 5384.22 + 9854.73i 0.0486854 + 0.0891089i
\(49\) 2258.34 117627.i 0.0191956 0.999816i
\(50\) 175145.i 1.40116i
\(51\) 15058.0 + 9173.27i 0.113516 + 0.0691534i
\(52\) 82123.1 142241.i 0.584057 1.01162i
\(53\) −54963.5 31733.2i −0.369187 0.213150i 0.303916 0.952699i \(-0.401706\pi\)
−0.673103 + 0.739548i \(0.735039\pi\)
\(54\) 227054. 110502.i 1.44194 0.701761i
\(55\) 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 \(-0.281783\pi\)
−0.353816 + 0.935315i \(0.615116\pi\)
\(60\) −2841.15 + 120594.i −0.0131535 + 0.558308i
\(61\) 226744. + 392733.i 0.998957 + 1.73024i 0.539022 + 0.842291i \(0.318794\pi\)
0.459935 + 0.887953i \(0.347873\pi\)
\(62\) 601704.i 2.52469i
\(63\) −186547. + 166504.i −0.746048 + 0.665892i
\(64\) 427218. 1.62971
\(65\) −62810.4 + 36263.6i −0.228713 + 0.132048i
\(66\) −790362. 18620.6i −2.74912 0.0647681i
\(67\) 22352.1 38714.9i 0.0743179 0.128722i −0.826472 0.562979i \(-0.809655\pi\)
0.900789 + 0.434256i \(0.142989\pi\)
\(68\) 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 \(-0.0596422\pi\)
\(72\) 16113.8 341792.i 0.0431719 0.915722i
\(73\) −259235. + 449009.i −0.666385 + 1.15421i 0.312523 + 0.949910i \(0.398826\pi\)
−0.978908 + 0.204303i \(0.934507\pi\)
\(74\) 285260. + 164695.i 0.703956 + 0.406429i
\(75\) −191772. + 314795.i −0.454570 + 0.746180i
\(76\) 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 0.781424 0.624000i \(-0.214494\pi\)
−0.931112 + 0.364733i \(0.881160\pi\)
\(80\) −15998.5 9236.73i −0.0312470 0.0180405i
\(81\) 529084. + 49998.7i 0.995565 + 0.0940813i
\(82\) −583363. 1.01041e6i −1.05803 1.83256i
\(83\) 281251.i 0.491881i 0.969285 + 0.245941i \(0.0790968\pi\)
−0.969285 + 0.245941i \(0.920903\pi\)
\(84\) 211140. + 907286.i 0.356231 + 1.53076i
\(85\) −29005.9 −0.0472312
\(86\) −974772. + 562785.i −1.53253 + 0.884804i
\(87\) 20315.4 862302.i 0.0308509 1.30949i
\(88\) −535639. + 927753.i −0.786002 + 1.36140i
\(89\) −469964. + 271334.i −0.666644 + 0.384887i −0.794804 0.606866i \(-0.792426\pi\)
0.128160 + 0.991754i \(0.459093\pi\)
\(90\) −224413. + 349569.i −0.307836 + 0.479519i
\(91\) −399819. + 392217.i −0.530566 + 0.520478i
\(92\) 662148.i 0.850337i
\(93\) 658823. 1.08146e6i 0.819068 1.34451i
\(94\) −104265. + 180593.i −0.125533 + 0.217429i
\(95\) −110180. 63612.4i −0.128508 0.0741944i
\(96\) 815697. + 496920.i 0.921967 + 0.561659i
\(97\) 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 \(-0.165755\pi\)
0.00286511 + 0.999996i \(0.499088\pi\)
\(102\) 226142. + 5327.80i 0.213099 + 0.00502050i
\(103\) 228566. + 395888.i 0.209170 + 0.362294i 0.951453 0.307793i \(-0.0995903\pi\)
−0.742283 + 0.670086i \(0.766257\pi\)
\(104\) 766429.i 0.681353i
\(105\) 119575. 393578.i 0.103293 0.339988i
\(106\) −814218. −0.683633
\(107\) −1.08784e6 + 628062.i −0.887998 + 0.512686i −0.873287 0.487206i \(-0.838016\pi\)
−0.0147107 + 0.999892i \(0.504683\pi\)
\(108\) 1.10851e6 1.64042e6i 0.879972 1.30222i
\(109\) 747136. 1.29408e6i 0.576926 0.999265i −0.418904 0.908031i \(-0.637586\pi\)
0.995829 0.0912340i \(-0.0290811\pi\)
\(110\) 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 \(0.985924\pi\)
\(114\) 847324. + 516187.i 0.571920 + 0.348411i
\(115\) 146194. 253216.i 0.0961252 0.166494i
\(116\) −2.78283e6 1.60667e6i −1.78284 1.02932i
\(117\) 1.18905e6 + 56058.2i 0.742410 + 0.0350011i
\(118\) 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
\(123\) 57833.8 2.45480e6i 0.0310790 1.31917i
\(124\) −2.35882e6 4.08560e6i −1.23717 2.14284i
\(125\) 1.30039e6i 0.665800i
\(126\) −1.00455e6 + 3.04654e6i −0.502180 + 1.52298i
\(127\) −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
\(129\) −2.36820e6 55793.7i −1.10319 0.0259906i
\(130\) −465230. + 805803.i −0.211757 + 0.366774i
\(131\) −2.98659e6 + 1.72431e6i −1.32850 + 0.767010i −0.985068 0.172168i \(-0.944923\pi\)
−0.343432 + 0.939178i \(0.611590\pi\)
\(132\) −5.43959e6 + 2.97197e6i −2.36507 + 1.29218i
\(133\) −946512. 263380.i −0.402320 0.111951i
\(134\) 573515.i 0.238358i
\(135\) −786098. + 382577.i −0.319503 + 0.155495i
\(136\) 153259. 265453.i 0.0609271 0.105529i
\(137\) 2.05544e6 + 1.18671e6i 0.799363 + 0.461512i 0.843248 0.537524i \(-0.180640\pi\)
−0.0438856 + 0.999037i \(0.513974\pi\)
\(138\) −1.18630e6 + 1.94733e6i −0.451397 + 0.740971i
\(139\) 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
\(144\) 139067. + 269428.i 0.0465731 + 0.0902308i
\(145\) 709466. + 1.22883e6i 0.232717 + 0.403077i
\(146\) 6.65152e6i 2.13728i
\(147\) 135761. 3.17362e6i 0.0427389 0.999086i
\(148\) 2.58257e6 0.796649
\(149\) 3.09917e6 1.78931e6i 0.936885 0.540911i 0.0479027 0.998852i \(-0.484746\pi\)
0.888983 + 0.457941i \(0.151413\pi\)
\(150\) −111380. + 4.72761e6i −0.0330016 + 1.40077i
\(151\) −370170. + 641153.i −0.107515 + 0.186222i −0.914763 0.403991i \(-0.867623\pi\)
0.807248 + 0.590213i \(0.200956\pi\)
\(152\) 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
\(156\) 2.30716e6 3.78723e6i 0.607721 0.997579i
\(157\) −186635. + 323262.i −0.0482275 + 0.0835325i −0.889131 0.457652i \(-0.848691\pi\)
0.840904 + 0.541184i \(0.182024\pi\)
\(158\) −1.63993e6 946815.i −0.415772 0.240046i
\(159\) −1.46342e6 891512.i −0.364065 0.221787i
\(160\) −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 0.641804 0.766868i \(-0.278186\pi\)
−0.985030 + 0.172385i \(0.944853\pi\)
\(164\) −7.92213e6 4.57384e6i −1.79602 1.03693i
\(165\) 2.73637e6 + 64467.5i 0.609147 + 0.0143512i
\(166\) 1.80410e6 + 3.12480e6i 0.394400 + 0.683121i
\(167\) 176945.i 0.0379917i 0.999820 + 0.0189958i \(0.00604693\pi\)
−0.999820 + 0.0189958i \(0.993953\pi\)
\(168\) 2.97011e6 + 3.17388e6i 0.626389 + 0.669364i
\(169\) −2.16049e6 −0.447602
\(170\) −322265. + 186060.i −0.0655944 + 0.0378710i
\(171\) 957738. + 1.85552e6i 0.191539 + 0.371089i
\(172\) −4.41250e6 + 7.64267e6i −0.867160 + 1.50197i
\(173\) 739743. 427091.i 0.142871 0.0824864i −0.426861 0.904317i \(-0.640381\pi\)
0.569731 + 0.821831i \(0.307047\pi\)
\(174\) −5.30558e6 9.71079e6i −1.00713 1.84335i
\(175\) −1.16850e6 4.53456e6i −0.218029 0.846098i
\(176\) 949269.i 0.174121i
\(177\) 1.52720e6 + 930365.i 0.275408 + 0.167777i
\(178\) −3.48097e6 + 6.02922e6i −0.617221 + 1.06906i
\(179\) −723180. 417528.i −0.126092 0.0727992i 0.435627 0.900127i \(-0.356527\pi\)
−0.561719 + 0.827328i \(0.689860\pi\)
\(180\) −153379. + 3.25334e6i −0.0262996 + 0.557843i
\(181\) 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
\(186\) 382642. 1.62415e7i 0.0594639 2.52399i
\(187\) −745242. 1.29080e6i −0.113965 0.197394i
\(188\) 1.63498e6i 0.246059i
\(189\) −5.14126e6 + 4.37574e6i −0.761525 + 0.648136i
\(190\) −1.63218e6 −0.237962
\(191\) 5.67532e6 3.27665e6i 0.814499 0.470251i −0.0340169 0.999421i \(-0.510830\pi\)
0.848516 + 0.529170i \(0.177497\pi\)
\(192\) 1.15317e7 + 271681.i 1.62926 + 0.0383845i
\(193\) 603080. 1.04457e6i 0.0838887 0.145299i −0.821028 0.570887i \(-0.806599\pi\)
0.904917 + 0.425588i \(0.139933\pi\)
\(194\) 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 \(0.952461\pi\)
\(198\) −2.13220e7 1.00523e6i −2.74684 0.129500i
\(199\) 222272. 384987.i 0.0282050 0.0488525i −0.851578 0.524227i \(-0.824354\pi\)
0.879783 + 0.475375i \(0.157688\pi\)
\(200\) 5.54943e6 + 3.20396e6i 0.693678 + 0.400495i
\(201\) 627959. 1.03080e6i 0.0773291 0.126936i
\(202\) 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
\(207\) −4.26437e6 + 2.20108e6i −0.480777 + 0.248156i
\(208\) 339570. + 588152.i 0.0377346 + 0.0653582i
\(209\) 6.53751e6i 0.716100i
\(210\) −1.19611e6 5.13981e6i −0.129156 0.554995i
\(211\) −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
\(213\) 84795.8 3.59922e6i 0.00877477 0.372451i
\(214\) −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
\(219\) −7.28295e6 + 1.19550e7i −0.693386 + 1.13820i
\(220\) 5.09847e6 8.83081e6i 0.478820 0.829340i
\(221\) 923481. + 533172.i 0.0855561 + 0.0493958i
\(222\) 7.59514e6 + 4.62693e6i 0.694188 + 0.422897i
\(223\) −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 \(-0.566501\pi\)
−0.950896 + 0.309512i \(0.899834\pi\)
\(228\) 7.77694e6 + 183221.i 0.656152 + 0.0154586i
\(229\) −7.34810e6 1.27273e7i −0.611883 1.05981i −0.990923 0.134432i \(-0.957079\pi\)
0.379040 0.925380i \(-0.376254\pi\)
\(230\) 3.75109e6i 0.308300i
\(231\) 2.05869e7 4.79089e6i 1.67015 0.388670i
\(232\) −1.49945e7 −1.20079
\(233\) −2.41055e6 + 1.39173e6i −0.190567 + 0.110024i −0.592248 0.805756i \(-0.701759\pi\)
0.401681 + 0.915780i \(0.368426\pi\)
\(234\) 1.35704e7 7.00443e6i 1.05912 0.546670i
\(235\) 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 \(-0.129917\pi\)
\(240\) −425965. 259496.i −0.0308135 0.0187714i
\(241\) 1.09990e7 1.90508e7i 0.785779 1.36101i −0.142753 0.989758i \(-0.545596\pi\)
0.928533 0.371251i \(-0.121071\pi\)
\(242\) 3.81935e7 + 2.20510e7i 2.69490 + 1.55590i
\(243\) 1.42495e7 + 1.68605e6i 0.993072 + 0.117504i
\(244\) 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
\(249\) −178856. + 7.59168e6i −0.0115853 + 0.491745i
\(250\) −8.34144e6 1.44478e7i −0.533852 0.924659i
\(251\) 1.63397e7i 1.03329i 0.856199 + 0.516646i \(0.172820\pi\)
−0.856199 + 0.516646i \(0.827180\pi\)
\(252\) 5.12221e6 + 2.46242e7i 0.320078 + 1.53872i
\(253\) 1.50246e7 0.927770
\(254\) −2.20549e7 + 1.27334e7i −1.34587 + 0.777040i
\(255\) −782942. 18445.7i −0.0472181 0.00111244i
\(256\) 6.96339e6 1.20609e7i 0.415050 0.718888i
\(257\) −1.72309e7 + 9.94827e6i −1.01510 + 0.586068i −0.912681 0.408673i \(-0.865992\pi\)
−0.102419 + 0.994741i \(0.532658\pi\)
\(258\) −2.66694e7 + 1.45711e7i −1.55294 + 0.848463i
\(259\) −8.48423e6 2.36085e6i −0.488330 0.135884i
\(260\) 7.29525e6i 0.415069i
\(261\) 1.09673e6 2.32628e7i 0.0616848 1.30840i
\(262\) −2.21213e7 + 3.83153e7i −1.23001 + 2.13044i
\(263\) −3.02923e7 1.74893e7i −1.66519 0.961400i −0.970174 0.242409i \(-0.922062\pi\)
−0.695020 0.718991i \(-0.744604\pi\)
\(264\) −1.50482e7 + 2.47018e7i −0.817849 + 1.34251i
\(265\) 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 \(-0.241046\pi\)
−0.231547 + 0.972824i \(0.574379\pi\)
\(270\) −6.27976e6 + 9.29303e6i −0.319045 + 0.472135i
\(271\) −1.17083e7 2.02794e7i −0.588284 1.01894i −0.994457 0.105142i \(-0.966470\pi\)
0.406173 0.913796i \(-0.366863\pi\)
\(272\) 271609.i 0.0134970i
\(273\) −1.10416e7 + 1.03327e7i −0.542678 + 0.507837i
\(274\) 3.04489e7 1.48020
\(275\) 2.69847e7 1.55796e7i 1.29754 0.749134i
\(276\) −421080. + 1.78730e7i −0.0200280 + 0.850102i
\(277\) −1.91825e6 + 3.32251e6i −0.0902540 + 0.156324i −0.907618 0.419797i \(-0.862101\pi\)
0.817364 + 0.576122i \(0.195435\pi\)
\(278\) 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 \(0.797189\pi\)
\(282\) −2.92923e6 + 4.80835e6i −0.130619 + 0.214412i
\(283\) 3.21025e6 5.56031e6i 0.141638 0.245324i −0.786476 0.617621i \(-0.788097\pi\)
0.928113 + 0.372297i \(0.121430\pi\)
\(284\) −1.16154e7 6.70616e6i −0.507083 0.292765i
\(285\) −2.93358e6 1.78712e6i −0.126725 0.0772005i
\(286\) −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
\(291\) 2.41735e6 + 56951.6i 0.0980981 + 0.00231114i
\(292\) 2.60755e7 + 4.51641e7i 1.04733 + 1.81403i
\(293\) 3.45100e7i 1.37196i −0.727619 0.685982i \(-0.759373\pi\)
0.727619 0.685982i \(-0.240627\pi\)
\(294\) −1.88490e7 3.61309e7i −0.741732 1.42179i
\(295\) −2.94181e6 −0.114591
\(296\) 1.04366e7 6.02558e6i 0.402425 0.232340i
\(297\) −3.72222e7 2.51528e7i −1.42080 0.960103i
\(298\) 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
\(303\) 2.38747e7 + 1.45444e7i 0.858243 + 0.522838i
\(304\) −595662. + 1.03172e6i −0.0212021 + 0.0367231i
\(305\) −1.74438e7 1.00712e7i −0.614812 0.354962i
\(306\) 6.10075e6 + 287621.i 0.212921 + 0.0100382i
\(307\) 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 \(-0.156216\pi\)
0.0328262 + 0.999461i \(0.489549\pi\)
\(312\) 487396. 2.06878e7i 0.0160479 0.681164i
\(313\) 1.03822e7 + 1.79825e7i 0.338577 + 0.586432i 0.984165 0.177253i \(-0.0567212\pi\)
−0.645588 + 0.763686i \(0.723388\pi\)
\(314\) 4.78874e6i 0.154679i
\(315\) 3.47792e6 1.05476e7i 0.111272 0.337461i
\(316\) −1.48470e7 −0.470518
\(317\) −9.73777e6 + 5.62211e6i −0.305690 + 0.176490i −0.644996 0.764186i \(-0.723141\pi\)
0.339306 + 0.940676i \(0.389808\pi\)
\(318\) −2.19778e7 517786.i −0.683444 0.0161016i
\(319\) −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
\(324\) 3.09647e7 4.35741e7i 0.910399 1.28113i
\(325\) −1.11462e7 + 1.93058e7i −0.324696 + 0.562391i
\(326\) −3.30293e7 1.90695e7i −0.953338 0.550410i
\(327\) 2.09900e7 3.44553e7i 0.600301 0.985399i
\(328\) −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 0.983452 0.181171i \(-0.0579887\pi\)
−0.648624 + 0.761109i \(0.724655\pi\)
\(332\) 2.44999e7 + 1.41450e7i 0.669499 + 0.386535i
\(333\) 8.58485e6 + 1.66323e7i 0.232488 + 0.450422i
\(334\) 1.13502e6 + 1.96592e6i 0.0304625 + 0.0527626i
\(335\) 1.98561e6i 0.0528152i
\(336\) −3.68544e6 1.11969e6i −0.0971564 0.0295176i
\(337\) 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
\(339\) −81129.1 + 3.44358e6i −0.00208246 + 0.0883916i
\(340\) −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
\(345\) 4.10718e6 6.74197e6i 0.100020 0.164184i
\(346\) 5.47920e6 9.49026e6i 0.132278 0.229113i
\(347\) 2.46675e7 + 1.42418e7i 0.590388 + 0.340860i 0.765251 0.643732i \(-0.222615\pi\)
−0.174863 + 0.984593i \(0.555948\pi\)
\(348\) −7.40937e7 4.51376e7i −1.75810 1.07103i
\(349\) −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 \(-0.157189\pi\)
0.0297702 + 0.999557i \(0.490522\pi\)
\(354\) 2.29356e7 + 540352.i 0.517012 + 0.0121806i
\(355\) 2.96128e6 + 5.12909e6i 0.0661903 + 0.114645i
\(356\) 5.45849e7i 1.20983i
\(357\) −5.89042e6 + 1.37079e6i −0.129462 + 0.0301278i
\(358\) −1.07130e7 −0.233488
\(359\) 9.42345e6 5.44063e6i 0.203670 0.117589i −0.394696 0.918812i \(-0.629150\pi\)
0.598366 + 0.801223i \(0.295817\pi\)
\(360\) 6.97077e6 + 1.35052e7i 0.149408 + 0.289463i
\(361\) 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
\(366\) 1.34150e8 + 8.17234e7i 2.73619 + 1.66688i
\(367\) 2.55253e7 4.42111e7i 0.516384 0.894403i −0.483435 0.875380i \(-0.660611\pi\)
0.999819 0.0190228i \(-0.00605551\pi\)
\(368\) −2.37110e6 1.36895e6i −0.0475780 0.0274692i
\(369\) 3.12216e6 6.62243e7i 0.0621407 1.31807i
\(370\) −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 0.999965 0.00833438i \(-0.00265295\pi\)
−0.507200 + 0.861828i \(0.669320\pi\)
\(374\) −1.65598e7 9.56080e6i −0.316548 0.182759i
\(375\) 826959. 3.51008e7i 0.0156816 0.665616i
\(376\) 3.81469e6 + 6.60724e6i 0.0717622 + 0.124296i
\(377\) 5.21642e7i 0.973528i
\(378\) −2.90527e7 + 8.15949e7i −0.537911 + 1.51073i
\(379\) −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
\(381\) −5.35822e7 1.26237e6i −0.968826 0.0228251i
\(382\) 4.20365e7 7.28094e7i 0.754114 1.30616i
\(383\) 6.95337e7 4.01453e7i 1.23765 0.714559i 0.269039 0.963129i \(-0.413294\pi\)
0.968614 + 0.248570i \(0.0799607\pi\)
\(384\) 7.62195e7 4.16432e7i 1.34608 0.735445i
\(385\) −2.48221e7 + 2.43501e7i −0.434967 + 0.426697i
\(386\) 1.54740e7i 0.269054i
\(387\) −6.38883e7 3.01203e6i −1.10227 0.0519668i
\(388\) 4.50407e6 7.80128e6i 0.0771099 0.133558i
\(389\) −5.39859e6 3.11688e6i −0.0917132 0.0529506i 0.453442 0.891286i \(-0.350196\pi\)
−0.545155 + 0.838335i \(0.683529\pi\)
\(390\) −1.30702e7 + 2.14548e7i −0.220337 + 0.361685i
\(391\) −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
\(396\) −1.48718e8 + 7.67617e7i −2.39485 + 1.23612i
\(397\) 3.87684e7 + 6.71488e7i 0.619592 + 1.07317i 0.989560 + 0.144121i \(0.0460354\pi\)
−0.369968 + 0.929045i \(0.620631\pi\)
\(398\) 5.70312e6i 0.0904613i
\(399\) −2.53812e7 7.71120e6i −0.399571 0.121396i
\(400\) −5.67812e6 −0.0887207
\(401\) 4.39274e7 2.53615e7i 0.681243 0.393316i −0.119080 0.992885i \(-0.537995\pi\)
0.800323 + 0.599569i \(0.204661\pi\)
\(402\) 364716. 1.54806e7i 0.00561405 0.238292i
\(403\) 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
\(408\) 4.30567e6 7.06778e6i 0.0633957 0.104065i
\(409\) 3.65408e7 6.32904e7i 0.534082 0.925056i −0.465126 0.885245i \(-0.653991\pi\)
0.999207 0.0398118i \(-0.0126758\pi\)
\(410\) 4.48792e7 + 2.59110e7i 0.651168 + 0.375952i
\(411\) 5.47269e7 + 3.33394e7i 0.788271 + 0.480212i
\(412\) 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
\(417\) 8.83516e7 + 2.08152e6i 1.21845 + 0.0287060i
\(418\) −4.19353e7 7.26340e7i −0.574183 0.994515i
\(419\) 107271.i 0.00145828i 1.00000 0.000729142i \(0.000232093\pi\)
−1.00000 0.000729142i \(0.999768\pi\)
\(420\) −2.82709e7 3.02105e7i −0.381586 0.407765i
\(421\) 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
\(423\) −1.05296e7 + 5.43492e6i −0.139121 + 0.0718079i
\(424\) −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
\(429\) −8.59346e7 5.23510e7i −1.08842 0.663061i
\(430\) 2.49970e7 4.32961e7i 0.314400 0.544556i
\(431\) −8.86295e7 5.11703e7i −1.10700 0.639125i −0.168947 0.985625i \(-0.554037\pi\)
−0.938050 + 0.346500i \(0.887370\pi\)
\(432\) 3.58242e6 + 7.36097e6i 0.0444350 + 0.0913027i
\(433\) 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
\(438\) −4.22991e6 + 1.79541e8i −0.0503394 + 2.13669i
\(439\) 5.26595e6 + 9.12089e6i 0.0622419 + 0.107806i 0.895467 0.445127i \(-0.146842\pi\)
−0.833225 + 0.552934i \(0.813508\pi\)
\(440\) 4.75825e7i 0.558584i
\(441\) 5.68273e6 8.55776e7i 0.0662585 0.997802i
\(442\) 1.36803e7 0.158426
\(443\) −8.18071e7 + 4.72313e7i −0.940979 + 0.543274i −0.890267 0.455439i \(-0.849482\pi\)
−0.0507116 + 0.998713i \(0.516149\pi\)
\(444\) 6.97100e7 + 1.64234e6i 0.796428 + 0.0187635i
\(445\) 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 \(-0.333978\pi\)
\(450\) −6.01287e6 + 1.27539e8i −0.0659848 + 1.39961i
\(451\) −1.03783e8 + 1.79758e8i −1.13135 + 1.95956i
\(452\) 1.11131e7 + 6.41617e6i 0.120343 + 0.0694801i
\(453\) −1.03995e7 + 1.70709e7i −0.111871 + 0.183638i
\(454\) −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 0.996128 + 0.0879177i \(0.0280212\pi\)
−0.421925 + 0.906631i \(0.638645\pi\)
\(458\) −1.63280e8 9.42697e7i −1.69956 0.981241i
\(459\) 1.06502e7 + 7.19685e6i 0.110133 + 0.0744225i
\(460\) −1.47052e7 2.54701e7i −0.151076 0.261672i
\(461\) 1.59203e8i 1.62498i 0.582975 + 0.812490i \(0.301889\pi\)
−0.582975 + 0.812490i \(0.698111\pi\)
\(462\) 1.97996e8 1.85284e8i 2.00785 1.87894i
\(463\) 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
\(465\) −1.32477e6 + 5.62308e7i −0.0131759 + 0.559262i
\(466\) −1.78547e7 + 3.09252e7i −0.176439 + 0.305601i
\(467\) −1.52263e8 + 8.79092e7i −1.49501 + 0.863145i −0.999984 0.00573225i \(-0.998175\pi\)
−0.495028 + 0.868877i \(0.664842\pi\)
\(468\) 6.46845e7 1.00760e8i 0.631049 0.982989i
\(469\) 3.82627e6 + 1.48485e7i 0.0370900 + 0.143934i
\(470\) 9.26222e6i 0.0892117i
\(471\) −5.24333e6 + 8.60696e6i −0.0501816 + 0.0823735i
\(472\) 1.55438e7 2.69226e7i 0.147819 0.256030i
\(473\) 1.73417e8 + 1.00122e8i 1.63874 + 0.946124i
\(474\) −4.36638e7 2.65998e7i −0.410002 0.249772i
\(475\) −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 \(-0.481499\pi\)
−0.835518 + 0.549463i \(0.814832\pi\)
\(480\) −4.24122e7 999212.i −0.383502 0.00903512i
\(481\) 2.09623e7 + 3.63078e7i 0.188367 + 0.326261i
\(482\) 2.82214e8i 2.52021i
\(483\) 1.77219e7 5.83313e7i 0.157279 0.517679i
\(484\) 3.45781e8 3.04975
\(485\) −3.44486e6 + 1.98889e6i −0.0301958 + 0.0174336i
\(486\) 1.69132e8 7.26717e7i 1.47339 0.633077i
\(487\) 2.31500e7 4.00971e7i 0.200431 0.347157i −0.748236 0.663432i \(-0.769099\pi\)
0.948667 + 0.316276i \(0.102432\pi\)
\(488\) 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 \(0.845396\pi\)
\(492\) −2.10929e8 1.28497e8i −1.77110 1.07894i
\(493\) 1.04310e7 1.80671e7i 0.0870536 0.150781i
\(494\) 5.19649e7 + 3.00020e7i 0.431052 + 0.248868i
\(495\) 7.38204e7 + 3.48028e6i 0.608640 + 0.0286945i
\(496\) 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 0.574312 0.818636i \(-0.305270\pi\)
−0.996116 + 0.0880508i \(0.971936\pi\)
\(500\) −1.13278e8 6.54008e7i −0.906220 0.523206i
\(501\) −112525. + 4.77618e6i −0.000894817 + 0.0379811i
\(502\) 1.04812e8 + 1.81540e8i 0.828514 + 1.43503i
\(503\) 5.65796e7i 0.444586i −0.974980 0.222293i \(-0.928646\pi\)
0.974980 0.222293i \(-0.0713542\pi\)
\(504\) 7.81523e7 + 8.75597e7i 0.610450 + 0.683931i
\(505\) −4.59893e7 −0.357094
\(506\) 1.66928e8 9.63759e7i 1.28848 0.743904i
\(507\) −5.83170e7 1.37392e6i −0.447478 0.0105424i
\(508\) −9.98359e7 + 1.72921e8i −0.761545 + 1.31903i
\(509\) 1.57230e8 9.07767e7i 1.19229 0.688369i 0.233464 0.972365i \(-0.424994\pi\)
0.958825 + 0.283997i \(0.0916605\pi\)
\(510\) −8.81707e6 + 4.81729e6i −0.0664682 + 0.0363155i
\(511\) −4.43763e7 1.72210e8i −0.332574 1.29061i
\(512\) 2.72071e7i 0.202709i
\(513\) 2.46718e7 + 5.06942e7i 0.182746 + 0.375497i
\(514\) −1.27628e8 + 2.21057e8i −0.939842 + 1.62785i
\(515\) −1.75840e7 1.01521e7i −0.128735 0.0743250i
\(516\) −1.23965e8 + 2.03489e8i −0.902296 + 1.48112i
\(517\) 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 \(-0.251114\pi\)
−0.262198 + 0.965014i \(0.584447\pi\)
\(522\) −1.37036e8 2.65493e8i −0.963433 1.86656i
\(523\) −4.41162e7 7.64114e7i −0.308385 0.534138i 0.669625 0.742700i \(-0.266455\pi\)
−0.978009 + 0.208562i \(0.933122\pi\)
\(524\) 3.46884e8i 2.41096i
\(525\) −2.86571e7 1.23142e8i −0.198041 0.850999i
\(526\) −4.48744e8 −3.08348
\(527\) 2.65251e7 1.53143e7i 0.181228 0.104632i
\(528\) 603669. 2.56231e7i 0.00410107 0.174073i
\(529\) −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
\(534\) −9.77943e7 + 1.60530e8i −0.642229 + 1.05422i
\(535\) 2.78964e7 4.83179e7i 0.182174 0.315535i
\(536\) −1.81717e7 1.04914e7i −0.118005 0.0681302i
\(537\) −1.92549e7 1.17300e7i −0.124342 0.0757489i
\(538\) 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 0.738154 0.674632i \(-0.235698\pi\)
−0.953326 + 0.301944i \(0.902364\pi\)
\(542\) −2.60167e8 1.50208e8i −1.63401 0.943396i
\(543\) 2.33623e7 + 550404.i 0.145920 + 0.00343781i
\(544\) 1.15509e7 + 2.00067e7i 0.0717493 + 0.124273i
\(545\) 6.63704e7i 0.410001i
\(546\) −5.63960e7 + 1.85626e8i −0.346474 + 1.14041i
\(547\) −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
\(549\) 1.51630e8 + 2.93769e8i 0.916366 + 1.77537i
\(550\) 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
\(555\) −2.62957e7 1.60192e7i −0.153817 0.0937049i
\(556\) 1.64619e8 2.85129e8i 0.957758 1.65889i
\(557\) 1.37756e8 + 7.95336e7i 0.797161 + 0.460241i 0.842477 0.538732i \(-0.181096\pi\)
−0.0453167 + 0.998973i \(0.514430\pi\)
\(558\) 2.06569e7 4.38155e8i 0.118895 2.52189i
\(559\) −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 \(-0.0693575\pi\)
0.300966 + 0.953635i \(0.402691\pi\)
\(564\) −1.03973e6 + 4.41322e7i −0.00579542 + 0.245990i
\(565\) −2.83323e6 4.90730e6i −0.0157086 0.0272080i
\(566\) 8.23693e7i 0.454272i
\(567\) −1.41558e8 + 1.14843e8i −0.776579 + 0.630020i
\(568\) −6.25865e7 −0.341535
\(569\) −9.09408e7 + 5.25047e7i −0.493653 + 0.285011i −0.726089 0.687601i \(-0.758664\pi\)
0.232436 + 0.972612i \(0.425331\pi\)
\(570\) −4.40567e7 1.03795e6i −0.237896 0.00560472i
\(571\) 2.45002e7 4.24355e7i 0.131601 0.227940i −0.792693 0.609622i \(-0.791321\pi\)
0.924294 + 0.381681i \(0.124655\pi\)
\(572\) −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
\(576\) 3.11097e8 + 1.46667e7i 1.62790 + 0.0767477i
\(577\) 8.86675e7 1.53577e8i 0.461570 0.799462i −0.537470 0.843283i \(-0.680620\pi\)
0.999039 + 0.0438210i \(0.0139531\pi\)
\(578\) −2.63439e8 1.52096e8i −1.36426 0.787653i
\(579\) 1.69429e7 2.78119e7i 0.0872876 0.143283i
\(580\) 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
\(585\) −4.69830e7 + 2.42505e7i −0.234678 + 0.121130i
\(586\) −2.21367e8 3.83418e8i −1.10007 1.90537i
\(587\) 2.24276e8i 1.10884i 0.832238 + 0.554418i \(0.187059\pi\)
−0.832238 + 0.554418i \(0.812941\pi\)
\(588\) −2.69627e8 1.71438e8i −1.32627 0.843285i
\(589\) 1.34342e8 0.657456
\(590\) −3.26846e7 + 1.88704e7i −0.159143 + 0.0918811i
\(591\) −1.44685e6 + 6.14126e7i −0.00700909 + 0.297506i
\(592\) −5.33932e6 + 9.24798e6i −0.0257348 + 0.0445740i
\(593\) −1.86239e8 + 1.07525e8i −0.893112 + 0.515638i −0.874959 0.484197i \(-0.839112\pi\)
−0.0181527 + 0.999835i \(0.505779\pi\)
\(594\) −5.74895e8 4.06930e7i −2.74302 0.194160i
\(595\) 7.10222e6 6.96717e6i 0.0337166 0.0330754i
\(596\) 3.59959e8i 1.70026i
\(597\) 6.24451e6 1.02504e7i 0.0293478 0.0481746i
\(598\) −6.89507e7 + 1.19426e8i −0.322430 + 0.558465i
\(599\) −1.54055e8 8.89438e7i −0.716796 0.413842i 0.0967762 0.995306i \(-0.469147\pi\)
−0.813572 + 0.581464i \(0.802480\pi\)
\(600\) 1.47755e8 + 9.00121e7i 0.684053 + 0.416723i
\(601\) −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
\(606\) 3.58552e8 + 8.44732e6i 1.61114 + 0.0379578i
\(607\) 1.44612e8 + 2.50476e8i 0.646605 + 1.11995i 0.983928 + 0.178564i \(0.0571452\pi\)
−0.337323 + 0.941389i \(0.609522\pi\)
\(608\) 1.01328e8i 0.450836i
\(609\) 2.02149e8 + 2.16018e8i 0.894995 + 0.956398i
\(610\) −2.58409e8 −1.13846
\(611\) −2.29858e7 + 1.32709e7i −0.100771 + 0.0581803i
\(612\) 4.25519e7 2.19634e7i 0.185637 0.0958177i
\(613\) −2.09756e8 + 3.63308e8i −0.910610 + 1.57722i −0.0974066 + 0.995245i \(0.531055\pi\)
−0.813204 + 0.581979i \(0.802279\pi\)
\(614\) 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 \(-0.151853\pi\)
\(618\) 1.35227e8 + 8.23800e7i 0.572927 + 0.349025i
\(619\) 1.82813e8 3.16642e8i 0.770789 1.33505i −0.166341 0.986068i \(-0.553195\pi\)
0.937131 0.348978i \(-0.113471\pi\)
\(620\) 1.81468e8 + 1.04771e8i 0.761422 + 0.439607i
\(621\) −1.16506e8 + 5.67008e7i −0.486489 + 0.236763i
\(622\) 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
\(627\) 4.15741e6 1.76464e8i 0.0168663 0.715901i
\(628\) 1.87730e7 + 3.25157e7i 0.0757974 + 0.131285i
\(629\) 1.67670e7i 0.0673755i
\(630\) −2.90175e7 1.39497e8i −0.116048 0.557883i
\(631\) 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
\(633\) −1.44714e8 3.40940e6i −0.570558 0.0134421i
\(634\) −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
\(639\) 4.57770e6 9.70979e7i 0.0175447 0.372141i
\(640\) −7.14397e7 + 1.23737e8i −0.272521 + 0.472020i
\(641\) −2.73901e8 1.58137e8i −1.03997 0.600424i −0.120142 0.992757i \(-0.538335\pi\)
−0.919824 + 0.392332i \(0.871668\pi\)
\(642\) −2.26367e8 + 3.71583e8i −0.855475 + 1.40427i
\(643\) −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 \(-0.131918\pi\)
0.108950 + 0.994047i \(0.465251\pi\)
\(648\) 2.34679e7 2.48336e8i 0.0862481 0.912673i
\(649\) −7.55833e7 1.30914e8i −0.276498 0.478909i
\(650\) 2.85992e8i 1.04139i
\(651\) 9.84501e7 + 4.23049e8i 0.356840 + 1.53337i
\(652\) −2.99028e8 −1.07887
\(653\) 6.03095e7 3.48197e7i 0.216594 0.125050i −0.387778 0.921753i \(-0.626757\pi\)
0.604372 + 0.796702i \(0.293424\pi\)
\(654\) 1.21909e7 5.17451e8i 0.0435816 1.84985i
\(655\) 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 \(0.863823\pi\)
\(660\) 1.43236e8 2.35124e8i 0.498220 0.817832i
\(661\) 3.62613e6 6.28064e6i 0.0125556 0.0217470i −0.859679 0.510834i \(-0.829337\pi\)
0.872235 + 0.489087i \(0.162670\pi\)
\(662\) 2.69813e8 + 1.55776e8i 0.930012 + 0.536943i
\(663\) 2.45880e7 + 1.49789e7i 0.0843690 + 0.0513972i
\(664\) 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
\(669\) −2.31203e8 5.44703e6i −0.772173 0.0181920i
\(670\) 1.27368e7 + 2.20608e7i 0.0423482 + 0.0733493i
\(671\) 1.03503e9i 3.42598i
\(672\) −3.19086e8 + 7.42563e7i −1.05148 + 0.244695i
\(673\) 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
\(675\) −1.50454e8 + 2.22647e8i −0.489206 + 0.723946i
\(676\) −1.08658e8 + 1.88201e8i −0.351740 + 0.609231i
\(677\) 3.10383e8 1.79200e8i 1.00030 0.577526i 0.0919660 0.995762i \(-0.470685\pi\)
0.908338 + 0.418236i \(0.137352\pi\)
\(678\) 2.11877e7 + 3.87798e7i 0.0679821 + 0.124427i
\(679\) −2.19283e7 + 2.15113e7i −0.0700479 + 0.0687159i
\(680\) 1.36145e7i 0.0432988i
\(681\) −3.60739e8 2.19761e8i −1.14223 0.695840i
\(682\) −6.86655e8 + 1.18932e9i −2.16464 + 3.74927i
\(683\) −8.87610e7 5.12462e7i −0.278586 0.160842i 0.354197 0.935171i \(-0.384754\pi\)
−0.632783 + 0.774329i \(0.718088\pi\)
\(684\) 2.09803e8 + 9.89120e6i 0.655606 + 0.0309087i
\(685\) −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
\(690\) 2.38543e6 1.01251e8i 0.00726140 0.308215i
\(691\) −1.77897e8 3.08126e8i −0.539180 0.933887i −0.998948 0.0458485i \(-0.985401\pi\)
0.459768 0.888039i \(-0.347932\pi\)
\(692\) 8.59191e7i 0.259281i
\(693\) 5.58739e8 1.16226e8i 1.67884 0.349225i
\(694\) 3.65420e8 1.09324
\(695\) −1.25906e8 + 7.26919e7i −0.375053 + 0.216537i
\(696\) −4.04739e8 9.53547e6i −1.20046 0.0282823i
\(697\) 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 \(0.921077\pi\)
\(702\) 3.70753e8 1.80437e8i 1.07170 0.521573i
\(703\) −3.67714e7 + 6.36899e7i −0.105839 + 0.183318i
\(704\) −8.44436e8 4.87535e8i −2.42018 1.39729i
\(705\) 1.01415e7 1.66473e7i 0.0289424 0.0475091i
\(706\) 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 0.903376 0.428850i \(-0.141081\pi\)
−0.823083 + 0.567921i \(0.807748\pi\)
\(710\) 6.58017e7 + 3.79906e7i 0.183849 + 0.106145i
\(711\) −4.93535e7 9.56176e7i −0.137312 0.266029i
\(712\) 1.27356e8 + 2.20587e8i 0.352841 + 0.611139i
\(713\) 3.08746e8i 0.851791i
\(714\) −5.66516e7 + 5.30145e7i −0.155639 + 0.145646i
\(715\) 1.65534e8 0.452865
\(716\) −7.27420e7 + 4.19976e7i −0.198174 + 0.114416i
\(717\) 6.89165e6 2.92521e8i 0.0186967 0.793596i
\(718\) 6.97985e7 1.20895e8i 0.188570 0.326613i
\(719\) 2.03117e8 1.17269e8i 0.546461 0.315499i −0.201233 0.979543i \(-0.564495\pi\)
0.747693 + 0.664044i \(0.231161\pi\)
\(720\) −1.13329e7 7.27534e6i −0.0303628 0.0194920i
\(721\) −1.51057e8 4.20337e7i −0.403028 0.112148i
\(722\) 4.98300e8i 1.32397i
\(723\) 3.09004e8 5.07233e8i 0.817617 1.34212i
\(724\) 4.35292e7 7.53949e7i 0.114701 0.198667i
\(725\) 3.77701e8 + 2.18066e8i 0.991139 + 0.572234i
\(726\) 1.01691e9 + 6.19500e8i 2.65751 + 1.61894i
\(727\) 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
\(732\) 1.23126e9 + 2.90078e7i 3.13917 + 0.0739574i
\(733\) −2.27236e8 3.93584e8i −0.576985 0.999367i −0.995823 0.0913064i \(-0.970896\pi\)
0.418838 0.908061i \(-0.362438\pi\)
\(734\) 6.54934e8i 1.65619i
\(735\) 6.52585e7 + 1.25091e8i 0.164352 + 0.315039i
\(736\) −2.32873e8 −0.584097
\(737\) −8.83618e7 + 5.10157e7i −0.220730 + 0.127439i
\(738\) −3.90112e8 7.55802e8i −0.970554 1.88035i
\(739\) −3.37304e8 + 5.84227e8i −0.835772 + 1.44760i 0.0576292 + 0.998338i \(0.481646\pi\)
−0.893401 + 0.449261i \(0.851687\pi\)
\(740\) −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 \(0.699774\pi\)
\(744\) −5.07607e8 3.09232e8i −1.23256 0.750872i
\(745\) −7.94748e7 + 1.37654e8i −0.192203 + 0.332906i
\(746\) 5.68229e8 + 3.28067e8i 1.36870 + 0.790217i
\(747\) −9.65556e6 + 2.04805e8i −0.0231641 + 0.491335i
\(748\) −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 0.907621 0.419791i \(-0.137897\pi\)
−0.817360 + 0.576127i \(0.804563\pi\)
\(752\) −5.85473e6 3.38023e6i −0.0137675 0.00794864i
\(753\) −1.03909e7 + 4.41050e8i −0.0243371 + 1.03301i
\(754\) −3.34610e8 5.79562e8i −0.780594 1.35203i
\(755\) 3.28833e7i 0.0764073i
\(756\) 1.22602e8 + 6.67926e8i 0.283748 + 1.54584i
\(757\) −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
\(759\) 4.05551e8 + 9.55458e6i 0.927512 + 0.0218517i
\(760\) −2.98578e7 + 5.17152e7i −0.0680169 + 0.117809i
\(761\) −5.00056e8 + 2.88708e8i −1.13466 + 0.655095i −0.945102 0.326775i \(-0.894038\pi\)
−0.189556 + 0.981870i \(0.560705\pi\)
\(762\) −6.03415e8 + 3.29681e8i −1.36380 + 0.745125i
\(763\) 1.27896e8 + 4.96321e8i 0.287927 + 1.11735i
\(764\) 6.59172e8i