Properties

Label 147.4.o.a.131.21
Level $147$
Weight $4$
Character 147.131
Analytic conductor $8.673$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [147,4,Mod(5,147)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(147, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([21, 29]))
 
N = Newforms(chi, 4, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("147.5");
 
S:= CuspForms(chi, 4);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 147 = 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 147.o (of order \(42\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(8.67328077084\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 131.21
Character \(\chi\) \(=\) 147.131
Dual form 147.4.o.a.101.21

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.56048 + 0.612445i) q^{2} +(-4.21730 - 3.03552i) q^{3} +(-3.80440 + 3.52996i) q^{4} +(5.95462 - 4.05979i) q^{5} +(8.44011 + 2.15402i) q^{6} +(8.80926 - 16.2910i) q^{7} +(9.59357 - 19.9212i) q^{8} +(8.57124 + 25.6034i) q^{9} +O(q^{10})\) \(q+(-1.56048 + 0.612445i) q^{2} +(-4.21730 - 3.03552i) q^{3} +(-3.80440 + 3.52996i) q^{4} +(5.95462 - 4.05979i) q^{5} +(8.44011 + 2.15402i) q^{6} +(8.80926 - 16.2910i) q^{7} +(9.59357 - 19.9212i) q^{8} +(8.57124 + 25.6034i) q^{9} +(-6.80569 + 9.98211i) q^{10} +(-3.97701 + 26.3857i) q^{11} +(26.7595 - 3.33859i) q^{12} +(-18.0363 - 14.3835i) q^{13} +(-3.76936 + 30.8170i) q^{14} +(-37.4360 - 0.954011i) q^{15} +(0.332735 - 4.44004i) q^{16} +(-23.7012 + 7.31084i) q^{17} +(-29.0559 - 34.7043i) q^{18} +(-113.090 - 65.2923i) q^{19} +(-8.32281 + 36.4646i) q^{20} +(-86.6030 + 41.9634i) q^{21} +(-9.95374 - 43.6102i) q^{22} +(-41.5785 + 134.794i) q^{23} +(-100.930 + 54.8924i) q^{24} +(-26.6920 + 68.0102i) q^{25} +(36.9545 + 11.3990i) q^{26} +(41.5721 - 133.995i) q^{27} +(23.9927 + 93.0738i) q^{28} +(-28.6184 - 6.53196i) q^{29} +(59.0025 - 21.4387i) q^{30} +(-234.740 + 135.527i) q^{31} +(54.3385 + 176.161i) q^{32} +(96.8667 - 99.2043i) q^{33} +(32.5078 - 25.9241i) q^{34} +(-13.6823 - 132.770i) q^{35} +(-122.987 - 67.1493i) q^{36} +(-43.1123 - 40.0023i) q^{37} +(216.462 + 32.6265i) q^{38} +(32.4032 + 115.409i) q^{39} +(-23.7500 - 157.571i) q^{40} +(6.52251 + 3.14108i) q^{41} +(109.442 - 118.523i) q^{42} +(-89.1389 + 42.9270i) q^{43} +(-78.0105 - 114.420i) q^{44} +(154.983 + 117.661i) q^{45} +(-17.6714 - 235.809i) q^{46} +(-141.207 - 359.791i) q^{47} +(-14.8811 + 17.7150i) q^{48} +(-187.794 - 287.023i) q^{49} -122.476i q^{50} +(122.147 + 41.1134i) q^{51} +(119.391 - 8.94709i) q^{52} +(485.405 + 523.142i) q^{53} +(17.1921 + 234.558i) q^{54} +(83.4390 + 173.263i) q^{55} +(-240.025 - 331.780i) q^{56} +(278.737 + 618.643i) q^{57} +(48.6590 - 7.33416i) q^{58} +(178.356 + 121.601i) q^{59} +(145.789 - 128.518i) q^{60} +(-133.819 + 144.223i) q^{61} +(283.305 - 355.253i) q^{62} +(492.611 + 85.9129i) q^{63} +(-170.475 - 213.768i) q^{64} +(-165.793 - 12.4245i) q^{65} +(-90.4017 + 214.132i) q^{66} +(-111.534 - 193.183i) q^{67} +(64.3616 - 111.478i) q^{68} +(584.519 - 442.255i) q^{69} +(102.666 + 198.806i) q^{70} +(-909.608 + 207.612i) q^{71} +(592.280 + 74.8782i) q^{72} +(-344.268 - 135.115i) q^{73} +(91.7752 + 36.0191i) q^{74} +(319.015 - 205.795i) q^{75} +(660.717 - 150.804i) q^{76} +(394.816 + 297.228i) q^{77} +(-121.246 - 160.249i) q^{78} +(18.5108 - 32.0616i) q^{79} +(-16.0443 - 27.7896i) q^{80} +(-582.068 + 438.906i) q^{81} +(-12.1020 - 0.906920i) q^{82} +(49.7705 + 62.4103i) q^{83} +(181.343 - 465.351i) q^{84} +(-111.451 + 139.755i) q^{85} +(112.809 - 121.579i) q^{86} +(100.864 + 114.419i) q^{87} +(487.483 + 332.360i) q^{88} +(418.779 - 63.1208i) q^{89} +(-313.909 - 88.6897i) q^{90} +(-393.208 + 167.122i) q^{91} +(-317.637 - 659.581i) q^{92} +(1401.37 + 140.999i) q^{93} +(440.704 + 474.966i) q^{94} +(-938.479 + 70.3293i) q^{95} +(305.579 - 907.870i) q^{96} +1802.66i q^{97} +(468.835 + 332.882i) q^{98} +(-709.652 + 124.333i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 11 q^{3} - 234 q^{4} + 14 q^{6} + 28 q^{7} - 125 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 11 q^{3} - 234 q^{4} + 14 q^{6} + 28 q^{7} - 125 q^{9} - 58 q^{10} - 207 q^{12} - 28 q^{13} - 148 q^{15} + 726 q^{16} - 81 q^{18} - 342 q^{19} - 371 q^{21} - 156 q^{22} - 428 q^{24} + 1250 q^{25} - 56 q^{27} + 700 q^{28} + 389 q^{30} + 888 q^{31} + 841 q^{33} - 532 q^{34} - 38 q^{36} + 1178 q^{37} - 180 q^{39} + 194 q^{40} + 56 q^{42} + 1296 q^{43} - 617 q^{45} - 6756 q^{46} - 2380 q^{49} + 787 q^{51} - 5204 q^{52} + 4144 q^{54} - 5698 q^{55} + 863 q^{57} - 3066 q^{58} + 2820 q^{60} + 1492 q^{61} - 1085 q^{63} + 7648 q^{64} + 2568 q^{66} + 142 q^{67} - 5474 q^{69} + 5180 q^{70} + 1278 q^{72} + 2876 q^{73} - 1754 q^{75} + 7644 q^{76} + 936 q^{78} - 992 q^{79} + 911 q^{81} + 1022 q^{82} + 7868 q^{84} + 2672 q^{85} - 196 q^{87} + 370 q^{88} - 18767 q^{90} - 2254 q^{91} - 11096 q^{93} - 3628 q^{94} - 24248 q^{96} + 10982 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).

\(n\) \(50\) \(52\)
\(\chi(n)\) \(-1\) \(e\left(\frac{41}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.56048 + 0.612445i −0.551714 + 0.216532i −0.624788 0.780795i \(-0.714814\pi\)
0.0730735 + 0.997327i \(0.476719\pi\)
\(3\) −4.21730 3.03552i −0.811620 0.584186i
\(4\) −3.80440 + 3.52996i −0.475549 + 0.441245i
\(5\) 5.95462 4.05979i 0.532597 0.363119i −0.266961 0.963707i \(-0.586019\pi\)
0.799558 + 0.600589i \(0.205067\pi\)
\(6\) 8.44011 + 2.15402i 0.574277 + 0.146562i
\(7\) 8.80926 16.2910i 0.475655 0.879632i
\(8\) 9.59357 19.9212i 0.423980 0.880403i
\(9\) 8.57124 + 25.6034i 0.317453 + 0.948274i
\(10\) −6.80569 + 9.98211i −0.215215 + 0.315662i
\(11\) −3.97701 + 26.3857i −0.109010 + 0.723236i 0.865831 + 0.500336i \(0.166790\pi\)
−0.974841 + 0.222900i \(0.928448\pi\)
\(12\) 26.7595 3.33859i 0.643735 0.0803141i
\(13\) −18.0363 14.3835i −0.384798 0.306867i 0.411917 0.911221i \(-0.364859\pi\)
−0.796715 + 0.604355i \(0.793431\pi\)
\(14\) −3.76936 + 30.8170i −0.0719575 + 0.588300i
\(15\) −37.4360 0.954011i −0.644395 0.0164216i
\(16\) 0.332735 4.44004i 0.00519898 0.0693756i
\(17\) −23.7012 + 7.31084i −0.338140 + 0.104302i −0.459175 0.888346i \(-0.651855\pi\)
0.121035 + 0.992648i \(0.461379\pi\)
\(18\) −29.0559 34.7043i −0.380475 0.454437i
\(19\) −113.090 65.2923i −1.36550 0.788373i −0.375153 0.926963i \(-0.622410\pi\)
−0.990350 + 0.138590i \(0.955743\pi\)
\(20\) −8.32281 + 36.4646i −0.0930519 + 0.407687i
\(21\) −86.6030 + 41.9634i −0.899920 + 0.436055i
\(22\) −9.95374 43.6102i −0.0964611 0.422624i
\(23\) −41.5785 + 134.794i −0.376944 + 1.22202i 0.546228 + 0.837636i \(0.316063\pi\)
−0.923172 + 0.384386i \(0.874413\pi\)
\(24\) −100.930 + 54.8924i −0.858429 + 0.466869i
\(25\) −26.6920 + 68.0102i −0.213536 + 0.544082i
\(26\) 36.9545 + 11.3990i 0.278745 + 0.0859815i
\(27\) 41.5721 133.995i 0.296317 0.955090i
\(28\) 23.9927 + 93.0738i 0.161936 + 0.628189i
\(29\) −28.6184 6.53196i −0.183252 0.0418260i 0.129910 0.991526i \(-0.458531\pi\)
−0.313162 + 0.949700i \(0.601388\pi\)
\(30\) 59.0025 21.4387i 0.359078 0.130472i
\(31\) −234.740 + 135.527i −1.36002 + 0.785207i −0.989626 0.143668i \(-0.954110\pi\)
−0.370393 + 0.928875i \(0.620777\pi\)
\(32\) 54.3385 + 176.161i 0.300181 + 0.973162i
\(33\) 96.8667 99.2043i 0.510979 0.523310i
\(34\) 32.5078 25.9241i 0.163972 0.130763i
\(35\) −13.6823 132.770i −0.0660780 0.641209i
\(36\) −122.987 67.1493i −0.569386 0.310876i
\(37\) −43.1123 40.0023i −0.191557 0.177739i 0.578563 0.815637i \(-0.303614\pi\)
−0.770121 + 0.637898i \(0.779804\pi\)
\(38\) 216.462 + 32.6265i 0.924075 + 0.139282i
\(39\) 32.4032 + 115.409i 0.133043 + 0.473853i
\(40\) −23.7500 157.571i −0.0938803 0.622855i
\(41\) 6.52251 + 3.14108i 0.0248450 + 0.0119647i 0.446265 0.894901i \(-0.352754\pi\)
−0.421420 + 0.906866i \(0.638468\pi\)
\(42\) 109.442 118.523i 0.402079 0.435439i
\(43\) −89.1389 + 42.9270i −0.316129 + 0.152240i −0.585219 0.810875i \(-0.698991\pi\)
0.269090 + 0.963115i \(0.413277\pi\)
\(44\) −78.0105 114.420i −0.267285 0.392035i
\(45\) 154.983 + 117.661i 0.513411 + 0.389775i
\(46\) −17.6714 235.809i −0.0566414 0.755828i
\(47\) −141.207 359.791i −0.438239 1.11661i −0.963981 0.265970i \(-0.914308\pi\)
0.525742 0.850644i \(-0.323788\pi\)
\(48\) −14.8811 + 17.7150i −0.0447479 + 0.0532694i
\(49\) −187.794 287.023i −0.547504 0.836803i
\(50\) 122.476i 0.346415i
\(51\) 122.147 + 41.1134i 0.335373 + 0.112883i
\(52\) 119.391 8.94709i 0.318394 0.0238603i
\(53\) 485.405 + 523.142i 1.25803 + 1.35583i 0.907931 + 0.419119i \(0.137661\pi\)
0.350098 + 0.936713i \(0.386148\pi\)
\(54\) 17.1921 + 234.558i 0.0433249 + 0.591099i
\(55\) 83.4390 + 173.263i 0.204562 + 0.424777i
\(56\) −240.025 331.780i −0.572762 0.791714i
\(57\) 278.737 + 618.643i 0.647712 + 1.43757i
\(58\) 48.6590 7.33416i 0.110159 0.0166038i
\(59\) 178.356 + 121.601i 0.393560 + 0.268325i 0.743890 0.668302i \(-0.232978\pi\)
−0.350331 + 0.936626i \(0.613931\pi\)
\(60\) 145.789 128.518i 0.313688 0.276527i
\(61\) −133.819 + 144.223i −0.280882 + 0.302719i −0.857696 0.514157i \(-0.828105\pi\)
0.576815 + 0.816875i \(0.304296\pi\)
\(62\) 283.305 355.253i 0.580319 0.727697i
\(63\) 492.611 + 85.9129i 0.985130 + 0.171810i
\(64\) −170.475 213.768i −0.332958 0.417516i
\(65\) −165.793 12.4245i −0.316372 0.0237088i
\(66\) −90.4017 + 214.132i −0.168601 + 0.399361i
\(67\) −111.534 193.183i −0.203374 0.352255i 0.746239 0.665678i \(-0.231858\pi\)
−0.949614 + 0.313423i \(0.898524\pi\)
\(68\) 64.3616 111.478i 0.114779 0.198804i
\(69\) 584.519 442.255i 1.01982 0.771612i
\(70\) 102.666 + 198.806i 0.175298 + 0.339456i
\(71\) −909.608 + 207.612i −1.52043 + 0.347029i −0.899530 0.436860i \(-0.856091\pi\)
−0.620902 + 0.783888i \(0.713234\pi\)
\(72\) 592.280 + 74.8782i 0.969457 + 0.122562i
\(73\) −344.268 135.115i −0.551965 0.216630i 0.0729326 0.997337i \(-0.476764\pi\)
−0.624898 + 0.780706i \(0.714859\pi\)
\(74\) 91.7752 + 36.0191i 0.144171 + 0.0565829i
\(75\) 319.015 205.795i 0.491155 0.316842i
\(76\) 660.717 150.804i 0.997230 0.227611i
\(77\) 394.816 + 297.228i 0.584330 + 0.439900i
\(78\) −121.246 160.249i −0.176006 0.232623i
\(79\) 18.5108 32.0616i 0.0263624 0.0456610i −0.852543 0.522657i \(-0.824941\pi\)
0.878906 + 0.476996i \(0.158274\pi\)
\(80\) −16.0443 27.7896i −0.0224226 0.0388371i
\(81\) −582.068 + 438.906i −0.798447 + 0.602065i
\(82\) −12.1020 0.906920i −0.0162981 0.00122137i
\(83\) 49.7705 + 62.4103i 0.0658196 + 0.0825351i 0.813651 0.581353i \(-0.197476\pi\)
−0.747832 + 0.663888i \(0.768905\pi\)
\(84\) 181.343 465.351i 0.235549 0.604451i
\(85\) −111.451 + 139.755i −0.142218 + 0.178336i
\(86\) 112.809 121.579i 0.141448 0.152445i
\(87\) 100.864 + 114.419i 0.124297 + 0.141000i
\(88\) 487.483 + 332.360i 0.590521 + 0.402610i
\(89\) 418.779 63.1208i 0.498770 0.0751774i 0.105160 0.994455i \(-0.466464\pi\)
0.393609 + 0.919278i \(0.371226\pi\)
\(90\) −313.909 88.6897i −0.367655 0.103875i
\(91\) −393.208 + 167.122i −0.452961 + 0.192518i
\(92\) −317.637 659.581i −0.359956 0.747457i
\(93\) 1401.37 + 140.999i 1.56253 + 0.157214i
\(94\) 440.704 + 474.966i 0.483565 + 0.521159i
\(95\) −938.479 + 70.3293i −1.01354 + 0.0759540i
\(96\) 305.579 907.870i 0.324875 0.965199i
\(97\) 1802.66i 1.88693i 0.331467 + 0.943467i \(0.392457\pi\)
−0.331467 + 0.943467i \(0.607543\pi\)
\(98\) 468.835 + 332.882i 0.483260 + 0.343124i
\(99\) −709.652 + 124.333i −0.720432 + 0.126222i
\(100\) −138.526 352.960i −0.138526 0.352960i
\(101\) −77.3415 1032.05i −0.0761957 1.01676i −0.895982 0.444091i \(-0.853527\pi\)
0.819786 0.572670i \(-0.194092\pi\)
\(102\) −215.788 + 10.6516i −0.209473 + 0.0103399i
\(103\) −641.166 940.418i −0.613359 0.899633i 0.386383 0.922338i \(-0.373724\pi\)
−0.999742 + 0.0227057i \(0.992772\pi\)
\(104\) −459.570 + 221.317i −0.433313 + 0.208673i
\(105\) −345.325 + 601.466i −0.320955 + 0.559020i
\(106\) −1077.86 519.071i −0.987653 0.475629i
\(107\) −180.917 1200.31i −0.163457 1.08447i −0.908632 0.417597i \(-0.862872\pi\)
0.745175 0.666869i \(-0.232366\pi\)
\(108\) 314.842 + 656.519i 0.280515 + 0.584941i
\(109\) −1724.33 259.901i −1.51524 0.228386i −0.661841 0.749645i \(-0.730224\pi\)
−0.853399 + 0.521259i \(0.825463\pi\)
\(110\) −236.319 219.272i −0.204838 0.190061i
\(111\) 60.3895 + 299.570i 0.0516389 + 0.256162i
\(112\) −69.4016 44.5340i −0.0585521 0.0375721i
\(113\) −197.396 + 157.418i −0.164332 + 0.131050i −0.702203 0.711977i \(-0.747800\pi\)
0.537871 + 0.843027i \(0.319229\pi\)
\(114\) −813.849 794.672i −0.668631 0.652876i
\(115\) 299.652 + 971.448i 0.242980 + 0.787721i
\(116\) 131.933 76.1717i 0.105601 0.0609686i
\(117\) 213.673 585.076i 0.168838 0.462310i
\(118\) −352.796 80.5235i −0.275233 0.0628202i
\(119\) −89.6888 + 450.519i −0.0690904 + 0.347051i
\(120\) −378.150 + 736.619i −0.287668 + 0.560365i
\(121\) 591.477 + 182.446i 0.444385 + 0.137075i
\(122\) 120.494 307.014i 0.0894182 0.227834i
\(123\) −17.9726 33.0461i −0.0131751 0.0242249i
\(124\) 414.638 1344.22i 0.300287 0.973507i
\(125\) 317.627 + 1391.61i 0.227275 + 0.995758i
\(126\) −821.329 + 167.632i −0.580713 + 0.118522i
\(127\) 606.776 2658.46i 0.423958 1.85748i −0.0845413 0.996420i \(-0.526942\pi\)
0.508499 0.861062i \(-0.330200\pi\)
\(128\) −880.279 508.229i −0.607863 0.350950i
\(129\) 506.231 + 89.5467i 0.345513 + 0.0611174i
\(130\) 266.327 82.1511i 0.179680 0.0554241i
\(131\) −131.558 + 1755.52i −0.0877428 + 1.17085i 0.763405 + 0.645920i \(0.223526\pi\)
−0.851148 + 0.524926i \(0.824093\pi\)
\(132\) −18.3317 + 719.348i −0.0120877 + 0.474327i
\(133\) −2059.91 + 1267.17i −1.34299 + 0.826145i
\(134\) 292.361 + 233.150i 0.188479 + 0.150307i
\(135\) −296.447 966.665i −0.188993 0.616276i
\(136\) −81.7376 + 542.294i −0.0515364 + 0.341921i
\(137\) −1332.67 + 1954.66i −0.831076 + 1.21897i 0.142316 + 0.989821i \(0.454545\pi\)
−0.973393 + 0.229144i \(0.926407\pi\)
\(138\) −641.276 + 1048.12i −0.395573 + 0.646534i
\(139\) 197.319 409.736i 0.120405 0.250024i −0.832051 0.554699i \(-0.812833\pi\)
0.952456 + 0.304675i \(0.0985477\pi\)
\(140\) 520.728 + 456.813i 0.314354 + 0.275770i
\(141\) −496.638 + 1945.98i −0.296627 + 1.16228i
\(142\) 1292.28 881.060i 0.763701 0.520682i
\(143\) 451.250 418.699i 0.263884 0.244849i
\(144\) 116.532 29.5375i 0.0674375 0.0170934i
\(145\) −196.930 + 77.2893i −0.112787 + 0.0442657i
\(146\) 619.974 0.351435
\(147\) −79.2824 + 1780.52i −0.0444837 + 0.999010i
\(148\) 305.223 0.169521
\(149\) 2977.50 1168.58i 1.63709 0.642511i 0.644566 0.764548i \(-0.277038\pi\)
0.992526 + 0.122037i \(0.0389427\pi\)
\(150\) −371.779 + 516.519i −0.202371 + 0.281157i
\(151\) 683.815 634.488i 0.368531 0.341946i −0.474068 0.880488i \(-0.657215\pi\)
0.842599 + 0.538542i \(0.181025\pi\)
\(152\) −2385.64 + 1626.50i −1.27303 + 0.867938i
\(153\) −390.331 544.167i −0.206251 0.287538i
\(154\) −798.139 222.017i −0.417636 0.116173i
\(155\) −847.576 + 1760.01i −0.439219 + 0.912047i
\(156\) −530.665 324.680i −0.272354 0.166636i
\(157\) −493.559 + 723.918i −0.250894 + 0.367993i −0.930938 0.365178i \(-0.881008\pi\)
0.680044 + 0.733171i \(0.261961\pi\)
\(158\) −9.24981 + 61.3685i −0.00465744 + 0.0309001i
\(159\) −459.090 3679.71i −0.228982 1.83534i
\(160\) 1038.74 + 828.369i 0.513249 + 0.409302i
\(161\) 1829.66 + 1864.79i 0.895634 + 0.912834i
\(162\) 639.502 1041.39i 0.310148 0.505057i
\(163\) −135.035 + 1801.92i −0.0648881 + 0.865872i 0.865878 + 0.500256i \(0.166761\pi\)
−0.930766 + 0.365616i \(0.880858\pi\)
\(164\) −35.9021 + 11.0743i −0.0170944 + 0.00527293i
\(165\) 174.056 983.982i 0.0821225 0.464260i
\(166\) −115.889 66.9085i −0.0541851 0.0312838i
\(167\) 585.593 2565.65i 0.271345 1.18884i −0.637082 0.770796i \(-0.719859\pi\)
0.908427 0.418043i \(-0.137284\pi\)
\(168\) 5.13145 + 2127.82i 0.00235655 + 0.977171i
\(169\) −370.454 1623.07i −0.168618 0.738764i
\(170\) 88.3251 286.343i 0.0398484 0.129185i
\(171\) 702.388 3455.12i 0.314111 1.54514i
\(172\) 187.589 477.968i 0.0831599 0.211888i
\(173\) −496.782 153.237i −0.218322 0.0673433i 0.183665 0.982989i \(-0.441204\pi\)
−0.401986 + 0.915646i \(0.631680\pi\)
\(174\) −227.472 116.775i −0.0991071 0.0508775i
\(175\) 872.818 + 1033.96i 0.377022 + 0.446629i
\(176\) 115.830 + 26.4375i 0.0496082 + 0.0113228i
\(177\) −383.059 1054.23i −0.162669 0.447690i
\(178\) −614.840 + 354.978i −0.258900 + 0.149476i
\(179\) −445.680 1444.86i −0.186099 0.603317i −0.999758 0.0219760i \(-0.993004\pi\)
0.813660 0.581341i \(-0.197472\pi\)
\(180\) −1004.96 + 99.4547i −0.416139 + 0.0411829i
\(181\) 1731.45 1380.79i 0.711038 0.567034i −0.199781 0.979841i \(-0.564023\pi\)
0.910819 + 0.412807i \(0.135451\pi\)
\(182\) 511.242 501.610i 0.208219 0.204296i
\(183\) 1002.15 202.020i 0.404813 0.0816051i
\(184\) 2286.38 + 2121.45i 0.916056 + 0.849975i
\(185\) −419.118 63.1719i −0.166563 0.0251054i
\(186\) −2273.16 + 638.232i −0.896109 + 0.251599i
\(187\) −98.6422 654.448i −0.0385745 0.255925i
\(188\) 1807.26 + 870.329i 0.701105 + 0.337634i
\(189\) −1816.70 1857.65i −0.699182 0.714943i
\(190\) 1421.41 684.514i 0.542736 0.261368i
\(191\) −1861.93 2730.94i −0.705362 1.03458i −0.996951 0.0780328i \(-0.975136\pi\)
0.291588 0.956544i \(-0.405816\pi\)
\(192\) 70.0443 + 1419.00i 0.0263282 + 0.533374i
\(193\) 83.6805 + 1116.64i 0.0312096 + 0.416463i 0.990825 + 0.135149i \(0.0431513\pi\)
−0.959616 + 0.281314i \(0.909230\pi\)
\(194\) −1104.03 2813.02i −0.408581 1.04105i
\(195\) 661.486 + 555.667i 0.242923 + 0.204062i
\(196\) 1727.62 + 429.045i 0.629601 + 0.156358i
\(197\) 2059.48i 0.744831i −0.928066 0.372415i \(-0.878530\pi\)
0.928066 0.372415i \(-0.121470\pi\)
\(198\) 1031.25 628.643i 0.370141 0.225635i
\(199\) 2773.75 207.864i 0.988070 0.0740456i 0.429120 0.903247i \(-0.358824\pi\)
0.558949 + 0.829202i \(0.311205\pi\)
\(200\) 1098.78 + 1184.20i 0.388476 + 0.418678i
\(201\) −116.038 + 1153.28i −0.0407197 + 0.404705i
\(202\) 752.764 + 1563.13i 0.262200 + 0.544463i
\(203\) −358.519 + 408.680i −0.123956 + 0.141299i
\(204\) −609.825 + 274.763i −0.209295 + 0.0943004i
\(205\) 51.5912 7.77612i 0.0175770 0.00264931i
\(206\) 1576.48 + 1074.83i 0.533198 + 0.363528i
\(207\) −3807.57 + 90.8020i −1.27847 + 0.0304888i
\(208\) −69.8646 + 75.2961i −0.0232896 + 0.0251002i
\(209\) 2172.55 2724.29i 0.719034 0.901640i
\(210\) 170.510 1150.07i 0.0560299 0.377916i
\(211\) 1076.49 + 1349.87i 0.351225 + 0.440423i 0.925791 0.378036i \(-0.123400\pi\)
−0.574566 + 0.818459i \(0.694829\pi\)
\(212\) −3693.35 276.778i −1.19651 0.0896660i
\(213\) 4466.30 + 1885.57i 1.43674 + 0.606560i
\(214\) 1017.44 + 1762.25i 0.325003 + 0.562922i
\(215\) −356.513 + 617.499i −0.113088 + 0.195875i
\(216\) −2270.53 2113.66i −0.715231 0.665817i
\(217\) 139.989 + 5018.05i 0.0437930 + 1.56980i
\(218\) 2849.97 650.486i 0.885432 0.202094i
\(219\) 1041.74 + 1614.85i 0.321434 + 0.498272i
\(220\) −929.046 364.624i −0.284710 0.111741i
\(221\) 532.638 + 209.045i 0.162123 + 0.0636284i
\(222\) −277.707 430.489i −0.0839570 0.130146i
\(223\) 3013.80 687.879i 0.905017 0.206564i 0.255408 0.966833i \(-0.417790\pi\)
0.649608 + 0.760269i \(0.274933\pi\)
\(224\) 3348.52 + 666.620i 0.998806 + 0.198841i
\(225\) −1970.08 100.475i −0.583726 0.0297705i
\(226\) 211.624 366.543i 0.0622876 0.107885i
\(227\) −392.386 679.633i −0.114730 0.198717i 0.802942 0.596057i \(-0.203267\pi\)
−0.917672 + 0.397340i \(0.869933\pi\)
\(228\) −3244.21 1369.63i −0.942339 0.397834i
\(229\) 3039.51 + 227.779i 0.877101 + 0.0657296i 0.505666 0.862729i \(-0.331247\pi\)
0.371435 + 0.928459i \(0.378866\pi\)
\(230\) −1062.56 1332.41i −0.304622 0.381984i
\(231\) −762.814 2451.97i −0.217270 0.698389i
\(232\) −404.677 + 507.449i −0.114519 + 0.143602i
\(233\) 1467.59 1581.69i 0.412640 0.444721i −0.492193 0.870486i \(-0.663805\pi\)
0.904834 + 0.425765i \(0.139995\pi\)
\(234\) 24.8938 + 1043.86i 0.00695453 + 0.291622i
\(235\) −2301.51 1569.14i −0.638868 0.435573i
\(236\) −1107.79 + 166.972i −0.305554 + 0.0460549i
\(237\) −175.389 + 79.0237i −0.0480707 + 0.0216588i
\(238\) −135.960 757.957i −0.0370293 0.206433i
\(239\) −29.2480 60.7341i −0.00791588 0.0164375i 0.896973 0.442084i \(-0.145761\pi\)
−0.904889 + 0.425647i \(0.860047\pi\)
\(240\) −16.6921 + 165.900i −0.00448946 + 0.0446199i
\(241\) −1270.63 1369.41i −0.339620 0.366023i 0.540029 0.841646i \(-0.318413\pi\)
−0.879649 + 0.475623i \(0.842223\pi\)
\(242\) −1034.73 + 77.5422i −0.274855 + 0.0205975i
\(243\) 3787.06 84.1178i 0.999753 0.0222064i
\(244\) 1021.06i 0.267895i
\(245\) −2283.50 946.711i −0.595458 0.246870i
\(246\) 48.2848 + 40.5606i 0.0125143 + 0.0105124i
\(247\) 1100.59 + 2804.26i 0.283518 + 0.722392i
\(248\) 447.877 + 5976.51i 0.114678 + 1.53028i
\(249\) −20.4496 414.282i −0.00520459 0.105438i
\(250\) −1347.94 1977.06i −0.341004 0.500162i
\(251\) −3843.07 + 1850.73i −0.966424 + 0.465405i −0.849415 0.527726i \(-0.823045\pi\)
−0.117009 + 0.993131i \(0.537331\pi\)
\(252\) −2177.36 + 1412.05i −0.544288 + 0.352980i
\(253\) −3391.28 1633.16i −0.842720 0.405833i
\(254\) 681.296 + 4520.10i 0.168300 + 1.11660i
\(255\) 894.251 251.077i 0.219609 0.0616591i
\(256\) 3847.85 + 579.970i 0.939417 + 0.141594i
\(257\) 3960.45 + 3674.76i 0.961269 + 0.891927i 0.994202 0.107531i \(-0.0342943\pi\)
−0.0329330 + 0.999458i \(0.510485\pi\)
\(258\) −844.808 + 170.302i −0.203858 + 0.0410952i
\(259\) −1031.47 + 349.951i −0.247460 + 0.0839572i
\(260\) 674.602 537.977i 0.160912 0.128323i
\(261\) −78.0546 788.715i −0.0185113 0.187051i
\(262\) −869.866 2820.04i −0.205116 0.664971i
\(263\) −5242.52 + 3026.77i −1.22915 + 0.709653i −0.966853 0.255333i \(-0.917815\pi\)
−0.262302 + 0.964986i \(0.584482\pi\)
\(264\) −1046.98 2881.43i −0.244079 0.671741i
\(265\) 5014.25 + 1144.47i 1.16235 + 0.265299i
\(266\) 2438.39 3238.98i 0.562058 0.746595i
\(267\) −1957.72 1005.01i −0.448729 0.230359i
\(268\) 1106.25 + 341.233i 0.252145 + 0.0777766i
\(269\) −498.311 + 1269.68i −0.112946 + 0.287783i −0.976159 0.217059i \(-0.930354\pi\)
0.863212 + 0.504841i \(0.168449\pi\)
\(270\) 1054.63 + 1326.91i 0.237714 + 0.299085i
\(271\) −542.194 + 1757.75i −0.121535 + 0.394006i −0.995812 0.0914201i \(-0.970859\pi\)
0.874278 + 0.485426i \(0.161336\pi\)
\(272\) 24.5742 + 107.667i 0.00547805 + 0.0240009i
\(273\) 2165.58 + 488.788i 0.480099 + 0.108362i
\(274\) 882.482 3866.41i 0.194572 0.852475i
\(275\) −1688.34 974.766i −0.370222 0.213748i
\(276\) −662.598 + 3745.84i −0.144506 + 0.816932i
\(277\) −2166.79 + 668.366i −0.469999 + 0.144976i −0.520703 0.853738i \(-0.674330\pi\)
0.0507032 + 0.998714i \(0.483854\pi\)
\(278\) −56.9716 + 760.233i −0.0122911 + 0.164013i
\(279\) −5481.97 4848.51i −1.17633 1.04040i
\(280\) −2776.22 1001.17i −0.592538 0.213684i
\(281\) −3062.15 2441.99i −0.650081 0.518422i 0.242013 0.970273i \(-0.422192\pi\)
−0.892093 + 0.451851i \(0.850764\pi\)
\(282\) −416.812 3340.84i −0.0880170 0.705475i
\(283\) 287.548 1907.76i 0.0603992 0.400722i −0.938119 0.346312i \(-0.887434\pi\)
0.998519 0.0544105i \(-0.0173280\pi\)
\(284\) 2727.65 4000.72i 0.569916 0.835913i
\(285\) 4171.33 + 2552.17i 0.866977 + 0.530448i
\(286\) −447.738 + 929.738i −0.0925710 + 0.192226i
\(287\) 108.630 78.5877i 0.0223422 0.0161634i
\(288\) −4044.57 + 2901.17i −0.827531 + 0.593587i
\(289\) −3551.01 + 2421.04i −0.722779 + 0.492782i
\(290\) 259.970 241.217i 0.0526413 0.0488440i
\(291\) 5472.02 7602.37i 1.10232 1.53147i
\(292\) 1786.68 701.221i 0.358074 0.140534i
\(293\) 8728.18 1.74029 0.870146 0.492794i \(-0.164024\pi\)
0.870146 + 0.492794i \(0.164024\pi\)
\(294\) −966.749 2827.02i −0.191775 0.560800i
\(295\) 1555.72 0.307043
\(296\) −1210.50 + 475.085i −0.237698 + 0.0932897i
\(297\) 3370.23 + 1629.81i 0.658454 + 0.318422i
\(298\) −3930.65 + 3647.11i −0.764083 + 0.708965i
\(299\) 2688.73 1833.15i 0.520045 0.354561i
\(300\) −487.208 + 1909.04i −0.0937633 + 0.367394i
\(301\) −85.9231 + 1830.32i −0.0164536 + 0.350491i
\(302\) −678.494 + 1408.91i −0.129281 + 0.268455i
\(303\) −2806.64 + 4587.24i −0.532136 + 0.869736i
\(304\) −327.529 + 480.397i −0.0617931 + 0.0906338i
\(305\) −211.328 + 1402.07i −0.0396741 + 0.263221i
\(306\) 942.377 + 610.108i 0.176053 + 0.113979i
\(307\) −3471.12 2768.13i −0.645301 0.514610i 0.245270 0.969455i \(-0.421123\pi\)
−0.890571 + 0.454844i \(0.849695\pi\)
\(308\) −2551.24 + 262.911i −0.471982 + 0.0486388i
\(309\) −150.668 + 5912.30i −0.0277385 + 1.08848i
\(310\) 244.720 3265.56i 0.0448360 0.598294i
\(311\) −3966.70 + 1223.56i −0.723250 + 0.223093i −0.634458 0.772957i \(-0.718777\pi\)
−0.0887919 + 0.996050i \(0.528301\pi\)
\(312\) 2609.96 + 461.673i 0.473589 + 0.0837727i
\(313\) −6506.12 3756.31i −1.17491 0.678336i −0.220081 0.975482i \(-0.570632\pi\)
−0.954832 + 0.297145i \(0.903965\pi\)
\(314\) 326.831 1431.94i 0.0587393 0.257354i
\(315\) 3282.10 1488.32i 0.587065 0.266214i
\(316\) 42.7540 + 187.318i 0.00761108 + 0.0333463i
\(317\) −506.578 + 1642.29i −0.0897548 + 0.290978i −0.989310 0.145830i \(-0.953415\pi\)
0.899555 + 0.436808i \(0.143891\pi\)
\(318\) 2970.02 + 5460.95i 0.523743 + 0.963003i
\(319\) 286.166 729.139i 0.0502264 0.127975i
\(320\) −1882.97 580.818i −0.328941 0.101465i
\(321\) −2880.57 + 5611.22i −0.500865 + 0.975663i
\(322\) −3997.23 1789.41i −0.691792 0.309690i
\(323\) 3157.70 + 720.724i 0.543960 + 0.124155i
\(324\) 665.096 3724.45i 0.114042 0.638623i
\(325\) 1459.65 842.730i 0.249129 0.143835i
\(326\) −892.855 2894.56i −0.151689 0.491764i
\(327\) 6483.09 + 6330.33i 1.09638 + 1.07054i
\(328\) 125.148 99.8024i 0.0210676 0.0168008i
\(329\) −7105.29 869.078i −1.19066 0.145635i
\(330\) 331.024 + 1642.09i 0.0552189 + 0.273921i
\(331\) −765.939 710.687i −0.127190 0.118015i 0.614013 0.789296i \(-0.289554\pi\)
−0.741203 + 0.671281i \(0.765745\pi\)
\(332\) −409.653 61.7452i −0.0677187 0.0102070i
\(333\) 654.670 1446.69i 0.107735 0.238072i
\(334\) 657.511 + 4362.30i 0.107717 + 0.714654i
\(335\) −1448.43 697.526i −0.236227 0.113761i
\(336\) 157.503 + 398.483i 0.0255729 + 0.0646995i
\(337\) 3217.93 1549.67i 0.520154 0.250493i −0.155337 0.987862i \(-0.549646\pi\)
0.675491 + 0.737369i \(0.263932\pi\)
\(338\) 1572.12 + 2305.88i 0.252995 + 0.371076i
\(339\) 1310.33 64.6797i 0.209932 0.0103626i
\(340\) −69.3267 925.101i −0.0110581 0.147561i
\(341\) −2642.42 6732.79i −0.419634 1.06921i
\(342\) 1020.00 + 5821.82i 0.161273 + 0.920492i
\(343\) −6330.23 + 530.887i −0.996502 + 0.0835720i
\(344\) 2187.58i 0.342867i
\(345\) 1685.13 5006.48i 0.262969 0.781276i
\(346\) 869.069 65.1277i 0.135033 0.0101193i
\(347\) 5334.05 + 5748.74i 0.825207 + 0.889362i 0.995376 0.0960529i \(-0.0306218\pi\)
−0.170169 + 0.985415i \(0.554431\pi\)
\(348\) −787.622 79.2471i −0.121325 0.0122072i
\(349\) −5614.13 11657.9i −0.861081 1.78805i −0.542168 0.840270i \(-0.682396\pi\)
−0.318914 0.947784i \(-0.603318\pi\)
\(350\) −1995.26 1078.92i −0.304718 0.164774i
\(351\) −2677.13 + 1818.83i −0.407107 + 0.276587i
\(352\) −4864.24 + 733.167i −0.736549 + 0.111017i
\(353\) −7311.03 4984.57i −1.10234 0.751564i −0.131508 0.991315i \(-0.541982\pi\)
−0.970834 + 0.239751i \(0.922934\pi\)
\(354\) 1243.42 + 1410.51i 0.186686 + 0.211774i
\(355\) −4573.51 + 4929.07i −0.683765 + 0.736924i
\(356\) −1370.39 + 1718.41i −0.204018 + 0.255830i
\(357\) 1745.80 1627.72i 0.258817 0.241311i
\(358\) 1580.37 + 1981.72i 0.233311 + 0.292562i
\(359\) −11739.5 879.754i −1.72587 0.129336i −0.825483 0.564428i \(-0.809097\pi\)
−0.900386 + 0.435092i \(0.856716\pi\)
\(360\) 3830.79 1958.66i 0.560835 0.286752i
\(361\) 5096.68 + 8827.71i 0.743065 + 1.28703i
\(362\) −1856.25 + 3215.12i −0.269509 + 0.466803i
\(363\) −1940.62 2564.87i −0.280595 0.370856i
\(364\) 905.986 2023.81i 0.130458 0.291419i
\(365\) −2598.52 + 593.096i −0.372638 + 0.0850522i
\(366\) −1440.11 + 929.008i −0.205671 + 0.132678i
\(367\) −8786.96 3448.63i −1.24980 0.490509i −0.354114 0.935202i \(-0.615218\pi\)
−0.895683 + 0.444693i \(0.853313\pi\)
\(368\) 584.657 + 229.461i 0.0828188 + 0.0325040i
\(369\) −24.5162 + 193.921i −0.00345871 + 0.0273581i
\(370\) 692.716 158.108i 0.0973314 0.0222153i
\(371\) 12798.6 3299.24i 1.79102 0.461693i
\(372\) −5829.07 + 4410.35i −0.812428 + 0.614694i
\(373\) −2376.90 + 4116.90i −0.329949 + 0.571488i −0.982501 0.186255i \(-0.940365\pi\)
0.652552 + 0.757744i \(0.273698\pi\)
\(374\) 554.743 + 960.842i 0.0766980 + 0.132845i
\(375\) 2884.75 6833.02i 0.397247 0.940948i
\(376\) −8522.16 638.648i −1.16887 0.0875951i
\(377\) 422.218 + 529.445i 0.0576800 + 0.0723284i
\(378\) 3972.64 + 1786.21i 0.540557 + 0.243049i
\(379\) 3652.00 4579.47i 0.494963 0.620664i −0.470122 0.882601i \(-0.655790\pi\)
0.965085 + 0.261938i \(0.0843615\pi\)
\(380\) 3322.09 3580.36i 0.448472 0.483338i
\(381\) −10628.8 + 9369.64i −1.42921 + 1.25990i
\(382\) 4578.06 + 3121.27i 0.613177 + 0.418057i
\(383\) 11886.9 1791.65i 1.58587 0.239032i 0.703889 0.710310i \(-0.251445\pi\)
0.881985 + 0.471278i \(0.156207\pi\)
\(384\) 2169.66 + 4815.46i 0.288333 + 0.639943i
\(385\) 3557.66 + 167.012i 0.470949 + 0.0221084i
\(386\) −814.461 1691.25i −0.107396 0.223011i
\(387\) −1863.11 1914.32i −0.244721 0.251448i
\(388\) −6363.33 6858.04i −0.832601 0.897330i
\(389\) −3291.01 + 246.627i −0.428948 + 0.0321452i −0.287455 0.957794i \(-0.592809\pi\)
−0.141493 + 0.989939i \(0.545190\pi\)
\(390\) −1372.55 461.986i −0.178210 0.0599835i
\(391\) 3498.75i 0.452531i
\(392\) −7519.48 + 987.509i −0.968854 + 0.127237i
\(393\) 5883.75 7004.22i 0.755206 0.899023i
\(394\) 1261.32 + 3213.78i 0.161280 + 0.410934i
\(395\) −19.9388 266.065i −0.00253982 0.0338916i
\(396\) 2260.91 2978.06i 0.286906 0.377912i
\(397\) 2286.28 + 3353.36i 0.289030 + 0.423930i 0.943102 0.332503i \(-0.107893\pi\)
−0.654072 + 0.756432i \(0.726941\pi\)
\(398\) −4201.08 + 2023.14i −0.529099 + 0.254801i
\(399\) 12533.8 + 908.887i 1.57262 + 0.114038i
\(400\) 293.087 + 141.143i 0.0366358 + 0.0176429i
\(401\) 2235.83 + 14833.8i 0.278434 + 1.84729i 0.492299 + 0.870426i \(0.336157\pi\)
−0.213865 + 0.976863i \(0.568605\pi\)
\(402\) −525.243 1870.73i −0.0651660 0.232099i
\(403\) 6183.21 + 931.969i 0.764287 + 0.115198i
\(404\) 3937.34 + 3653.32i 0.484876 + 0.449899i
\(405\) −1684.13 + 4976.59i −0.206630 + 0.610589i
\(406\) 309.169 857.312i 0.0377926 0.104797i
\(407\) 1226.95 978.459i 0.149429 0.119166i
\(408\) 1990.86 2038.90i 0.241574 0.247403i
\(409\) −3464.15 11230.5i −0.418805 1.35773i −0.881905 0.471427i \(-0.843739\pi\)
0.463100 0.886306i \(-0.346737\pi\)
\(410\) −75.7447 + 43.7312i −0.00912382 + 0.00526764i
\(411\) 11553.7 4198.07i 1.38662 0.503833i
\(412\) 5758.89 + 1314.43i 0.688641 + 0.157178i
\(413\) 3552.20 1834.39i 0.423226 0.218558i
\(414\) 5886.03 2473.62i 0.698751 0.293651i
\(415\) 549.737 + 169.571i 0.0650254 + 0.0200577i
\(416\) 1553.75 3958.88i 0.183122 0.466587i
\(417\) −2075.91 + 1129.02i −0.243784 + 0.132585i
\(418\) −1721.75 + 5581.77i −0.201467 + 0.653141i
\(419\) −231.998 1016.45i −0.0270497 0.118512i 0.959601 0.281366i \(-0.0907874\pi\)
−0.986650 + 0.162853i \(0.947930\pi\)
\(420\) −809.399 3507.20i −0.0940348 0.407461i
\(421\) −1692.67 + 7416.07i −0.195952 + 0.858521i 0.777364 + 0.629051i \(0.216556\pi\)
−0.973316 + 0.229470i \(0.926301\pi\)
\(422\) −2506.57 1447.17i −0.289142 0.166936i
\(423\) 8001.54 6699.24i 0.919736 0.770043i
\(424\) 15078.4 4651.07i 1.72706 0.532727i
\(425\) 135.421 1807.06i 0.0154562 0.206248i
\(426\) −8124.40 207.040i −0.924010 0.0235473i
\(427\) 1170.69 + 3450.54i 0.132678 + 0.391062i
\(428\) 4925.31 + 3927.80i 0.556247 + 0.443593i
\(429\) −3174.02 + 396.000i −0.357211 + 0.0445666i
\(430\) 178.149 1181.94i 0.0199793 0.132554i
\(431\) 3067.13 4498.66i 0.342781 0.502767i −0.615678 0.787998i \(-0.711118\pi\)
0.958459 + 0.285231i \(0.0920702\pi\)
\(432\) −581.112 229.167i −0.0647194 0.0255227i
\(433\) −3949.55 + 8201.32i −0.438345 + 0.910232i 0.558397 + 0.829574i \(0.311417\pi\)
−0.996742 + 0.0806583i \(0.974298\pi\)
\(434\) −3291.73 7744.85i −0.364074 0.856600i
\(435\) 1065.13 + 271.833i 0.117400 + 0.0299618i
\(436\) 7477.48 5098.06i 0.821345 0.559984i
\(437\) 13503.1 12529.1i 1.47813 1.37150i
\(438\) −2614.62 1881.94i −0.285231 0.205303i
\(439\) −875.610 + 343.652i −0.0951950 + 0.0373613i −0.412461 0.910975i \(-0.635331\pi\)
0.317266 + 0.948337i \(0.397235\pi\)
\(440\) 4252.09 0.460705
\(441\) 5739.15 7268.31i 0.619712 0.784830i
\(442\) −959.201 −0.103223
\(443\) 15855.3 6222.73i 1.70046 0.667383i 0.701491 0.712678i \(-0.252518\pi\)
0.998974 + 0.0452953i \(0.0144229\pi\)
\(444\) −1287.22 926.510i −0.137587 0.0990321i
\(445\) 2237.41 2076.02i 0.238345 0.221152i
\(446\) −4281.69 + 2919.21i −0.454583 + 0.309929i
\(447\) −16104.3 4110.00i −1.70404 0.434892i
\(448\) −4984.26 + 894.062i −0.525634 + 0.0942867i
\(449\) 5232.79 10866.0i 0.550001 1.14209i −0.421888 0.906648i \(-0.638632\pi\)
0.971889 0.235441i \(-0.0756534\pi\)
\(450\) 3135.81 1049.77i 0.328496 0.109971i
\(451\) −108.820 + 159.609i −0.0113617 + 0.0166645i
\(452\) 195.293 1295.68i 0.0203226 0.134831i
\(453\) −4809.86 + 600.091i −0.498867 + 0.0622400i
\(454\) 1028.55 + 820.241i 0.106327 + 0.0847926i
\(455\) −1662.93 + 2591.49i −0.171339 + 0.267013i
\(456\) 14998.2 + 382.212i 1.54025 + 0.0392515i
\(457\) −964.800 + 12874.4i −0.0987559 + 1.31781i 0.699129 + 0.714995i \(0.253571\pi\)
−0.797885 + 0.602810i \(0.794048\pi\)
\(458\) −4882.60 + 1506.08i −0.498142 + 0.153656i
\(459\) −5.68949 + 3479.77i −0.000578568 + 0.353860i
\(460\) −4569.17 2638.01i −0.463127 0.267387i
\(461\) −3595.87 + 15754.5i −0.363289 + 1.59168i 0.381496 + 0.924371i \(0.375409\pi\)
−0.744785 + 0.667304i \(0.767448\pi\)
\(462\) 2692.05 + 3359.08i 0.271095 + 0.338265i
\(463\) 845.513 + 3704.43i 0.0848689 + 0.371835i 0.999471 0.0325198i \(-0.0103532\pi\)
−0.914602 + 0.404355i \(0.867496\pi\)
\(464\) −38.5245 + 124.893i −0.00385443 + 0.0124957i
\(465\) 8917.03 4849.65i 0.889284 0.483650i
\(466\) −1321.46 + 3367.02i −0.131363 + 0.334708i
\(467\) 3501.27 + 1080.00i 0.346936 + 0.107016i 0.463326 0.886188i \(-0.346656\pi\)
−0.116390 + 0.993204i \(0.537132\pi\)
\(468\) 1252.40 + 2980.12i 0.123701 + 0.294350i
\(469\) −4129.68 + 115.206i −0.406591 + 0.0113427i
\(470\) 4552.48 + 1039.07i 0.446788 + 0.101976i
\(471\) 4278.95 1554.77i 0.418607 0.152102i
\(472\) 4133.52 2386.49i 0.403095 0.232727i
\(473\) −778.155 2522.72i −0.0756440 0.245232i
\(474\) 225.295 230.731i 0.0218315 0.0223583i
\(475\) 7459.14 5948.47i 0.720524 0.574599i
\(476\) −1249.10 2030.55i −0.120279 0.195525i
\(477\) −9233.70 + 16912.0i −0.886335 + 1.62337i
\(478\) 82.8373 + 76.8617i 0.00792654 + 0.00735476i
\(479\) −16640.0 2508.08i −1.58727 0.239243i −0.704730 0.709476i \(-0.748932\pi\)
−0.882542 + 0.470233i \(0.844170\pi\)
\(480\) −1866.16 6646.60i −0.177454 0.632030i
\(481\) 202.214 + 1341.60i 0.0191687 + 0.127176i
\(482\) 2821.48 + 1358.76i 0.266629 + 0.128402i
\(483\) −2055.60 13418.3i −0.193650 1.26409i
\(484\) −2894.24 + 1393.79i −0.271811 + 0.130897i
\(485\) 7318.43 + 10734.2i 0.685181 + 1.00498i
\(486\) −5858.13 + 2450.63i −0.546770 + 0.228730i
\(487\) −514.431 6864.60i −0.0478667 0.638737i −0.968613 0.248575i \(-0.920038\pi\)
0.920746 0.390162i \(-0.127581\pi\)
\(488\) 1589.29 + 4049.45i 0.147426 + 0.375636i
\(489\) 6039.24 7189.33i 0.558495 0.664852i
\(490\) 4143.17 + 78.8128i 0.381978 + 0.00726612i
\(491\) 2856.83i 0.262580i −0.991344 0.131290i \(-0.958088\pi\)
0.991344 0.131290i \(-0.0419120\pi\)
\(492\) 185.026 + 62.2778i 0.0169545 + 0.00570670i
\(493\) 726.043 54.4094i 0.0663273 0.00497054i
\(494\) −3434.91 3701.95i −0.312842 0.337163i
\(495\) −3720.94 + 3621.40i −0.337866 + 0.328828i
\(496\) 523.640 + 1087.35i 0.0474035 + 0.0984344i
\(497\) −4630.77 + 16647.3i −0.417944 + 1.50249i
\(498\) 285.636 + 633.956i 0.0257021 + 0.0570447i
\(499\) −10364.3 + 1562.16i −0.929796 + 0.140144i −0.596441 0.802657i \(-0.703419\pi\)
−0.333355 + 0.942801i \(0.608181\pi\)
\(500\) −6120.73 4173.04i −0.547454 0.373248i
\(501\) −10257.7 + 9042.55i −0.914732 + 0.806370i
\(502\) 4863.58 5241.69i 0.432415 0.466032i
\(503\) −12780.9 + 16026.7i −1.13294 + 1.42066i −0.239839 + 0.970813i \(0.577095\pi\)
−0.893103 + 0.449852i \(0.851477\pi\)
\(504\) 6437.39 8989.22i 0.568937 0.794468i
\(505\) −4650.45 5831.48i −0.409787 0.513856i
\(506\) 6292.26 + 471.540i 0.552816 + 0.0414279i
\(507\) −3364.53 + 7969.47i −0.294722 + 0.698100i
\(508\) 7075.85 + 12255.7i 0.617992 + 1.07039i
\(509\) −275.539 + 477.247i −0.0239942 + 0.0415592i −0.877773 0.479076i \(-0.840972\pi\)
0.853779 + 0.520636i \(0.174305\pi\)
\(510\) −1241.69 + 939.482i −0.107810 + 0.0815705i
\(511\) −5233.90 + 4418.20i −0.453100 + 0.382485i
\(512\) 1568.08 357.905i 0.135352 0.0308932i
\(513\) −13450.3 + 12439.1i −1.15759 + 1.07057i
\(514\) −8430.80 3308.85i −0.723476 0.283943i
\(515\) −7635.80 2996.83i −0.653347 0.256420i
\(516\) −2242.00 + 1446.31i −0.191276 + 0.123392i
\(517\) 10054.9 2294.97i 0.855348 0.195228i
\(518\) 1395.26 1177.81i 0.118348 0.0999034i
\(519\) 1629.92 + 2154.24i 0.137853 + 0.182198i
\(520\) −1838.06 + 3183.62i −0.155008 + 0.268482i
\(521\) 4417.87 + 7651.98i 0.371498 + 0.643454i 0.989796 0.142490i \(-0.0455109\pi\)
−0.618298 + 0.785944i \(0.712178\pi\)
\(522\) 604.847 + 1182.97i 0.0507154 + 0.0991902i
\(523\) −22016.4 1649.90i −1.84074 0.137945i −0.891606 0.452812i \(-0.850421\pi\)
−0.949136 + 0.314867i \(0.898040\pi\)
\(524\) −5696.43 7143.10i −0.474904 0.595511i
\(525\) −542.328 7009.97i −0.0450841 0.582744i
\(526\) 6327.14 7933.98i 0.524480 0.657677i
\(527\) 4572.80 4928.30i 0.377978 0.407363i
\(528\) −408.240 463.101i −0.0336484 0.0381702i
\(529\) −6387.84 4355.16i −0.525014 0.357948i
\(530\) −8525.58 + 1285.02i −0.698731 + 0.105317i
\(531\) −1584.67 + 5608.80i −0.129508 + 0.458383i
\(532\) 3363.67 12092.2i 0.274124 0.985460i
\(533\) −72.4626 150.470i −0.00588875 0.0122281i
\(534\) 3670.51 + 369.310i 0.297450 + 0.0299281i
\(535\) −5950.28 6412.87i −0.480847 0.518229i
\(536\) −4918.46 + 368.588i −0.396353 + 0.0297025i
\(537\) −2506.33 + 7446.27i −0.201408 + 0.598381i
\(538\) 2286.50i 0.183230i
\(539\) 8320.18 3813.58i 0.664890 0.304755i
\(540\) 4540.09 + 2631.13i 0.361805 + 0.209678i
\(541\) 94.8957 + 241.790i 0.00754138 + 0.0192151i 0.934595 0.355714i \(-0.115762\pi\)
−0.927053 + 0.374929i \(0.877667\pi\)
\(542\) −230.440 3075.00i −0.0182624 0.243695i
\(543\) −11493.5 + 567.336i −0.908346 + 0.0448374i
\(544\) −2575.77 3777.96i −0.203006 0.297755i
\(545\) −11322.9 + 5452.81i −0.889943 + 0.428574i
\(546\) −3678.71 + 563.552i −0.288341 + 0.0441718i
\(547\) −1285.95 619.282i −0.100518 0.0484069i 0.382949 0.923769i \(-0.374908\pi\)
−0.483467 + 0.875363i \(0.660623\pi\)
\(548\) −1829.90 12140.6i −0.142645 0.946387i
\(549\) −4839.59 2190.06i −0.376227 0.170254i
\(550\) 3231.62 + 487.089i 0.250540 + 0.0377628i
\(551\) 2809.96 + 2607.26i 0.217256 + 0.201584i
\(552\) −3202.65 15887.2i −0.246945 1.22500i
\(553\) −359.250 583.999i −0.0276254 0.0449081i
\(554\) 2971.90 2370.01i 0.227913 0.181755i
\(555\) 1575.79 + 1538.66i 0.120520 + 0.117680i
\(556\) 695.676 + 2255.33i 0.0530634 + 0.172027i
\(557\) 18528.7 10697.6i 1.40949 0.813770i 0.414152 0.910208i \(-0.364078\pi\)
0.995339 + 0.0964374i \(0.0307448\pi\)
\(558\) 11524.0 + 4208.61i 0.874281 + 0.319292i
\(559\) 2225.18 + 507.883i 0.168363 + 0.0384278i
\(560\) −594.059 + 16.5725i −0.0448278 + 0.00125057i
\(561\) −1570.59 + 3059.43i −0.118200 + 0.230249i
\(562\) 6274.02 + 1935.28i 0.470914 + 0.145258i
\(563\) −5200.09 + 13249.6i −0.389267 + 0.991837i 0.593142 + 0.805098i \(0.297887\pi\)
−0.982410 + 0.186739i \(0.940208\pi\)
\(564\) −4979.84 9156.40i −0.371789 0.683607i
\(565\) −536.334 + 1738.75i −0.0399358 + 0.129469i
\(566\) 719.682 + 3153.13i 0.0534461 + 0.234163i
\(567\) 2022.63 + 13348.9i 0.149810 + 0.988715i
\(568\) −4590.49 + 20112.3i −0.339107 + 1.48573i
\(569\) 5157.63 + 2977.76i 0.379999 + 0.219392i 0.677818 0.735230i \(-0.262926\pi\)
−0.297819 + 0.954622i \(0.596259\pi\)
\(570\) −8072.36 1427.91i −0.593182 0.104927i
\(571\) 13542.1 4177.17i 0.992500 0.306146i 0.244358 0.969685i \(-0.421423\pi\)
0.748141 + 0.663539i \(0.230947\pi\)
\(572\) −238.742 + 3185.79i −0.0174516 + 0.232875i
\(573\) −437.534 + 17169.1i −0.0318992 + 1.25175i
\(574\) −121.384 + 189.165i −0.00882663 + 0.0137554i
\(575\) −8057.56 6425.69i −0.584389 0.466035i
\(576\) 4012.02 6196.99i 0.290221 0.448277i
\(577\) 1415.74 9392.83i 0.102146 0.677692i −0.877889 0.478865i \(-0.841048\pi\)
0.980034 0.198828i \(-0.0637134\pi\)
\(578\) 4058.55 5952.79i 0.292064 0.428380i
\(579\) 3036.67 4963.21i 0.217962 0.356242i
\(580\) 476.371 989.194i 0.0341038 0.0708173i
\(581\) 1455.17 261.024i 0.103908 0.0186387i
\(582\) −3882.96 + 15214.7i −0.276553 + 1.08362i
\(583\) −15734.0 + 10727.2i −1.11773 + 0.762052i
\(584\) −5994.41 + 5562.00i −0.424744 + 0.394105i
\(585\) −1102.95 4351.37i −0.0779508 0.307533i
\(586\) −13620.2 + 5345.52i −0.960144 + 0.376829i
\(587\) −10030.2 −0.705268 −0.352634 0.935761i \(-0.614714\pi\)
−0.352634 + 0.935761i \(0.614714\pi\)
\(588\) −5983.53 7053.65i −0.419654 0.494707i
\(589\) 35395.6 2.47615
\(590\) −2427.68 + 952.793i −0.169400 + 0.0664845i
\(591\) −6251.58 + 8685.43i −0.435120 + 0.604519i
\(592\) −191.957 + 178.110i −0.0133267 + 0.0123653i
\(593\) −5922.88 + 4038.15i −0.410157 + 0.279641i −0.750771 0.660563i \(-0.770318\pi\)
0.340613 + 0.940203i \(0.389365\pi\)
\(594\) −6257.36 479.214i −0.432227 0.0331017i
\(595\) 1294.95 + 3046.79i 0.0892232 + 0.209926i
\(596\) −7202.55 + 14956.2i −0.495013 + 1.02791i
\(597\) −12328.7 7543.15i −0.845193 0.517120i
\(598\) −3073.02 + 4507.30i −0.210143 + 0.308223i
\(599\) −612.814 + 4065.75i −0.0418011 + 0.277332i −0.999960 0.00890328i \(-0.997166\pi\)
0.958159 + 0.286236i \(0.0924041\pi\)
\(600\) −1039.21 8329.48i −0.0707092 0.566749i
\(601\) −21879.3 17448.2i −1.48499 1.18424i −0.937776 0.347240i \(-0.887119\pi\)
−0.547209 0.836996i \(-0.684310\pi\)
\(602\) −986.886 2908.80i −0.0668147 0.196933i
\(603\) 3990.16 4511.48i 0.269472 0.304679i
\(604\) −361.785 + 4827.69i −0.0243722 + 0.325225i
\(605\) 4262.71 1314.87i 0.286453 0.0883590i
\(606\) 1570.28 8877.22i 0.105261 0.595070i
\(607\) 10781.4 + 6224.65i 0.720929 + 0.416228i 0.815094 0.579328i \(-0.196685\pi\)
−0.0941657 + 0.995557i \(0.530018\pi\)
\(608\) 5356.85 23469.9i 0.357317 1.56551i
\(609\) 2752.54 635.237i 0.183150 0.0422678i
\(610\) −528.916 2317.33i −0.0351069 0.153813i
\(611\) −2628.18 + 8520.36i −0.174018 + 0.564152i
\(612\) 3405.86 + 692.375i 0.224957 + 0.0457314i
\(613\) −4234.20 + 10788.6i −0.278985 + 0.710841i 0.720858 + 0.693083i \(0.243748\pi\)
−0.999842 + 0.0177581i \(0.994347\pi\)
\(614\) 7111.95 + 2193.75i 0.467451 + 0.144190i
\(615\) −241.180 123.812i −0.0158135 0.00811801i
\(616\) 9708.85 5013.74i 0.635033 0.327937i
\(617\) 10515.6 + 2400.11i 0.686129 + 0.156604i 0.551354 0.834272i \(-0.314112\pi\)
0.134775 + 0.990876i \(0.456969\pi\)
\(618\) −3385.84 9318.32i −0.220386 0.606534i
\(619\) 15541.2 8972.71i 1.00913 0.582623i 0.0981953 0.995167i \(-0.468693\pi\)
0.910938 + 0.412544i \(0.135360\pi\)
\(620\) −2988.25 9687.68i −0.193566 0.627527i
\(621\) 16333.3 + 11175.0i 1.05545 + 0.722122i
\(622\) 5440.60 4338.74i 0.350721 0.279690i
\(623\) 2660.83 7378.38i 0.171114 0.474492i
\(624\) 523.203 105.471i 0.0335655 0.00676638i
\(625\) 846.358 + 785.306i 0.0541669 + 0.0502596i
\(626\) 12453.2 + 1877.02i 0.795098 + 0.119842i
\(627\) −17431.9 + 4894.32i −1.11031 + 0.311739i
\(628\) −677.710 4496.31i −0.0430630 0.285705i
\(629\) 1314.26 + 632.915i 0.0833117 + 0.0401208i
\(630\) −4210.15 + 4332.60i −0.266248 + 0.273992i
\(631\) 1551.65 747.238i 0.0978929 0.0471427i −0.384297 0.923210i \(-0.625556\pi\)
0.482189 + 0.876067i \(0.339842\pi\)
\(632\) −461.123 676.344i −0.0290229 0.0425688i
\(633\) −442.306 8960.53i −0.0277726 0.562637i
\(634\) −215.302 2873.01i −0.0134870 0.179971i
\(635\) −7179.67 18293.5i −0.448688 1.14324i
\(636\) 14735.8 + 12378.5i 0.918729 + 0.771759i
\(637\) −741.288 + 7877.98i −0.0461082 + 0.490011i
\(638\) 1313.07i 0.0814811i
\(639\) −13112.0 21509.6i −0.811744 1.33162i
\(640\) −7305.03 + 547.436i −0.451182 + 0.0338114i
\(641\) 15656.2 + 16873.3i 0.964714 + 1.03971i 0.999187 + 0.0403091i \(0.0128343\pi\)
−0.0344729 + 0.999406i \(0.510975\pi\)
\(642\) 1058.52 10520.4i 0.0650722 0.646741i
\(643\) 4434.74 + 9208.83i 0.271989 + 0.564791i 0.991563 0.129625i \(-0.0413772\pi\)
−0.719574 + 0.694416i \(0.755663\pi\)
\(644\) −13543.4 635.786i −0.828702 0.0389029i
\(645\) 3377.95 1521.98i 0.206212 0.0929112i
\(646\) −5368.94 + 809.238i −0.326994 + 0.0492864i
\(647\) 16071.0 + 10957.0i 0.976530 + 0.665787i 0.942700 0.333640i \(-0.108277\pi\)
0.0338300 + 0.999428i \(0.489230\pi\)
\(648\) 3159.44 + 15806.2i 0.191535 + 0.958218i
\(649\) −3917.87 + 4222.46i −0.236964 + 0.255387i
\(650\) −1761.64 + 2209.02i −0.106303 + 0.133300i
\(651\) 14642.0 21587.6i 0.881514 1.29967i
\(652\) −5846.98 7331.88i −0.351204 0.440396i
\(653\) −23336.6 1748.83i −1.39852 0.104804i −0.645979 0.763355i \(-0.723551\pi\)
−0.752536 + 0.658551i \(0.771170\pi\)
\(654\) −13993.7 5907.84i −0.836694 0.353233i
\(655\) 6343.68 + 10987.6i 0.378424 + 0.655450i
\(656\) 16.1168 27.9151i 0.000959229 0.00166143i
\(657\) 508.606 9972.52i 0.0302018 0.592184i
\(658\) 11619.9 2995.41i 0.688439 0.177467i
\(659\) −26488.4 + 6045.81i −1.56577 + 0.357377i −0.915497 0.402325i \(-0.868202\pi\)
−0.650272 + 0.759701i \(0.725345\pi\)
\(660\) 2811.24 + 4357.87i 0.165799 + 0.257015i
\(661\) 10650.2 + 4179.91i 0.626697 + 0.245960i 0.657369 0.753569i \(-0.271669\pi\)
−0.0306718 + 0.999530i \(0.509765\pi\)
\(662\) 1630.49 + 639.921i 0.0957263 + 0.0375698i
\(663\) −1611.73 2498.44i −0.0944111 0.146352i
\(664\) 1720.77 392.754i 0.100570 0.0229545i
\(665\) −7121.57 + 15908.3i −0.415282 + 0.927666i
\(666\) −135.585 + 2658.49i −0.00788859 + 0.154676i
\(667\) 2070.38 3586.00i 0.120188 0.208172i
\(668\) 6828.83 + 11827.9i 0.395532 + 0.685081i
\(669\) −14798.2 6247.45i −0.855201 0.361047i
\(670\) 2687.44 + 201.396i 0.154963 + 0.0116128i
\(671\) −3273.22 4104.49i −0.188318 0.236143i
\(672\) −12098.2 12975.8i −0.694491 0.744872i
\(673\) 18706.9 23457.7i 1.07147 1.34358i 0.135786 0.990738i \(-0.456644\pi\)
0.935683 0.352841i \(-0.114784\pi\)
\(674\) −4072.44 + 4389.04i −0.232737 + 0.250830i
\(675\) 8003.41 + 6403.94i 0.456372 + 0.365167i
\(676\) 7138.71 + 4867.09i 0.406163 + 0.276917i
\(677\) 21824.8 3289.56i 1.23899 0.186748i 0.503328 0.864096i \(-0.332109\pi\)
0.735663 + 0.677348i \(0.236871\pi\)
\(678\) −2005.13 + 903.433i −0.113579 + 0.0511743i
\(679\) 29367.2 + 15880.1i 1.65981 + 0.897530i
\(680\) 1714.88 + 3560.99i 0.0967099 + 0.200820i
\(681\) −408.229 + 4057.31i −0.0229712 + 0.228306i
\(682\) 8246.92 + 8888.06i 0.463036 + 0.499034i
\(683\) −6696.57 + 501.839i −0.375164 + 0.0281147i −0.260978 0.965345i \(-0.584045\pi\)
−0.114186 + 0.993459i \(0.536426\pi\)
\(684\) 9524.27 + 15624.0i 0.532412 + 0.873391i
\(685\) 17049.6i 0.950997i
\(686\) 9553.07 4705.35i 0.531688 0.261882i
\(687\) −12127.1 10187.1i −0.673474 0.565738i
\(688\) 160.938 + 410.063i 0.00891817 + 0.0227231i
\(689\) −1230.31 16417.4i −0.0680279 0.907769i
\(690\) 436.583 + 8844.58i 0.0240876 + 0.487982i
\(691\) 5617.08 + 8238.74i 0.309239 + 0.453570i 0.949125 0.314900i \(-0.101971\pi\)
−0.639886 + 0.768470i \(0.721019\pi\)
\(692\) 2430.87 1170.65i 0.133538 0.0643083i
\(693\) −4226.00 + 12656.2i −0.231648 + 0.693753i
\(694\) −11844.5 5704.00i −0.647854 0.311990i
\(695\) −488.486 3240.89i −0.0266609 0.176884i
\(696\) 3247.02 911.659i 0.176836 0.0496499i
\(697\) −177.555 26.7621i −0.00964904 0.00145436i
\(698\) 15900.5 + 14753.6i 0.862241 + 0.800043i
\(699\) −10990.5 + 2215.55i −0.594707 + 0.119885i
\(700\) −6970.38 852.578i −0.376365 0.0460349i
\(701\) 3130.61 2496.58i 0.168676 0.134514i −0.535514 0.844526i \(-0.679882\pi\)
0.704189 + 0.710012i \(0.251311\pi\)
\(702\) 3063.68 4477.85i 0.164717 0.240749i
\(703\) 2263.71 + 7338.75i 0.121447 + 0.393722i
\(704\) 6318.41 3647.94i 0.338259 0.195294i
\(705\) 4943.00 + 13603.8i 0.264062 + 0.726738i
\(706\) 14461.5 + 3300.75i 0.770915 + 0.175956i
\(707\) −17494.5 7831.63i −0.930619 0.416604i
\(708\) 5178.72 + 2658.54i 0.274898 + 0.141121i
\(709\) 22674.0 + 6994.00i 1.20104 + 0.370473i 0.829799 0.558063i \(-0.188455\pi\)
0.371244 + 0.928535i \(0.378931\pi\)
\(710\) 4118.10 10492.8i 0.217676 0.554628i
\(711\) 979.547 + 199.131i 0.0516679 + 0.0105035i
\(712\) 2760.14 8948.15i 0.145282 0.470992i
\(713\) −8508.15 37276.6i −0.446890 1.95795i
\(714\) −1727.41 + 3609.24i −0.0905415 + 0.189177i
\(715\) 987.192 4325.17i 0.0516348 0.226227i
\(716\) 6795.84 + 3923.58i 0.354710 + 0.204792i
\(717\) −61.0120 + 344.917i −0.00317787 + 0.0179653i
\(718\) 18858.1 5816.95i 0.980192 0.302349i
\(719\) 1464.14 19537.6i 0.0759434 1.01339i −0.820907 0.571061i \(-0.806532\pi\)
0.896851 0.442333i \(-0.145849\pi\)
\(720\) 573.988 648.980i 0.0297101 0.0335917i
\(721\) −20968.6 + 2160.86i −1.08309 + 0.111615i
\(722\) −13359.8 10654.1i −0.688641 0.549173i
\(723\) 1201.74 + 9632.24i 0.0618166 + 0.495473i
\(724\) −1713.00 + 11365.0i −0.0879326 + 0.583395i
\(725\) 1208.12 1771.99i 0.0618877 0.0907725i
\(726\) 4599.14 + 2813.92i 0.235110 + 0.143849i
\(727\) −4957.81 + 10295.0i −0.252923 + 0.525200i −0.988312 0.152445i \(-0.951285\pi\)
0.735389 + 0.677645i \(0.236999\pi\)
\(728\) −442.991 + 9436.50i −0.0225526 + 0.480412i
\(729\) −16226.5 11140.9i −0.824392 0.566019i
\(730\) 3691.71 2516.97i 0.187173 0.127612i
\(731\) 1798.86 1669.10i 0.0910169 0.0844513i
\(732\) −3099.44 + 4306.10i −0.156501 + 0.217429i
\(733\) 14206.8 5575.76i 0.715881 0.280962i 0.0206881 0.999786i \(-0.493414\pi\)
0.695193 + 0.718824i \(0.255319\pi\)
\(734\) 15824.0 0.795742
\(735\) 6756.43 + 10924.2i 0.339067 + 0.548223i
\(736\) −26004.8 −1.30238
\(737\) 5540.85 2174.62i 0.276933 0.108688i
\(738\) −80.5089 317.626i −0.00401568 0.0158428i
\(739\) −4414.69 + 4096.23i −0.219752 + 0.203900i −0.782365 0.622820i \(-0.785987\pi\)
0.562613 + 0.826721i \(0.309796\pi\)
\(740\) 1817.49 1239.14i 0.0902866 0.0615564i
\(741\) 3870.86 15167.3i 0.191903 0.751935i
\(742\) −17951.4 + 12986.8i −0.888161 + 0.642536i
\(743\) 2476.05 5141.58i 0.122258 0.253871i −0.830853 0.556492i \(-0.812147\pi\)
0.953111 + 0.302620i \(0.0978615\pi\)
\(744\) 16253.0 26564.3i 0.800891 1.30900i
\(745\) 12985.7 19046.5i 0.638603 0.936658i
\(746\) 1187.73 7880.08i 0.0582921 0.386743i
\(747\) −1171.32 + 1809.23i −0.0573713 + 0.0886160i
\(748\) 2685.45 + 2141.58i 0.131270 + 0.104684i
\(749\) −21147.9 7626.48i −1.03168 0.372050i
\(750\) −316.752 + 12429.6i −0.0154215 + 0.605151i
\(751\) −1017.09 + 13572.2i −0.0494198 + 0.659461i 0.916403 + 0.400257i \(0.131079\pi\)
−0.965823 + 0.259204i \(0.916540\pi\)
\(752\) −1644.47 + 507.252i −0.0797442 + 0.0245978i
\(753\) 21825.3 + 3860.65i 1.05625 + 0.186839i
\(754\) −983.120 567.605i −0.0474843 0.0274150i
\(755\) 1495.97 6554.28i 0.0721112 0.315940i
\(756\) 13468.9 + 654.361i 0.647961 + 0.0314800i
\(757\) −8319.70 36451.0i −0.399451 1.75011i −0.629567 0.776946i \(-0.716768\pi\)
0.230116 0.973163i \(-0.426090\pi\)
\(758\) −2894.22 + 9382.83i −0.138684 + 0.449604i
\(759\) 9344.58 + 17181.8i 0.446887 + 0.821687i
\(760\) −7602.31 + 19370.4i −0.362849 + 0.924523i
\(761\) −37542.3 11580.3i −1.78832 0.551622i −0.790193 0.612859i \(-0.790019\pi\)
−0.998123 + 0.0612363i \(0.980496\pi\)
\(762\) 10847.6 21130.7i 0.515706 1.00457i
\(763\) −19424.1 + 25801.6i −0.921627 + 1.22422i
\(764\) 16723.6 + 3817.06i 0.791937 + 0.180754i
\(765\) −4533.48 1655.65i −0.214259 0.0782485i
\(766\) −17451.9 + 10075.9i −0.823191 + 0.475270i
\(767\) −1467.84 4758.63i −0.0691014 0.224021i
\(768\) −14467.0 14126.1i −0.679732 0.663715i
\(769\) 14618.2 11657.6i 0.685495 0.546664i −0.217636 0.976030i \(-0.569835\pi\)
0.903130 + 0.429366i \(0.141263\pi\)
\(770\) −5653.96 + 1918.25i −0.264616 + 0.0897779i
\(771\) −5547.60 27519.6i −0.259133 1.28547i
\(772\) −4260.05 3952.74i −0.198604 0.184278i
\(773\) 7978.14 + 1202.51i 0.371221 + 0.0559526i 0.332004 0.943278i \(-0.392275\pi\)
0.0392174 + 0.999231i \(0.487513\pi\)
\(774\) 4079.76 + 1846.21i 0.189463 + 0.0857375i
\(775\) −2951.55 19582.2i −0.136803 0.907632i
\(776\) 35911.3 + 17294.0i 1.66126 + 0.800022i
\(777\) 5412.28 + 1655.19i 0.249890 + 0.0764214i
\(778\) 4984.52 2400.42i 0.229696 0.110616i
\(779\) −532.540 781.093i −0.0244932 0.0359250i
\(780\) −4478.04 + 221.043i −0.205564 + 0.0101469i
\(781\) −1860.48 24826.4i −0.0852409 1.13746i
\(782\) 2142.79 + 5459.74i 0.0979873 + 0.249668i
\(783\) −2064.98 + 3563.18i −0.0942482 + 0.162628i
\(784\) −1336.88 + 738.309i −0.0609002 + 0.0336329i
\(785\) 6314.40i 0.287096i
\(786\) −4891.79 + 14533.4i −0.221990 + 0.659530i
\(787\) 18372.9 1376.86i 0.832178 0.0623631i 0.348175 0.937430i \(-0.386802\pi\)
0.484003 + 0.875066i \(0.339182\pi\)
\(788\) 7269.88 + 7835.07i 0.328653 + 0.354204i
\(789\) 31297.1 + 3148.98i 1.41218 + 0.142087i
\(790\) 194.064 + 402.978i 0.00873986 + 0.0181485i
\(791\) 825.587 + 4602.52i 0.0371106 + 0.206886i
\(792\) −4331.22 + 15330.0i −0.194322 + 0.687786i
\(793\) 4488.04 676.463i 0.200977 0.0302924i
\(794\) −5621.44 3832.64i −0.251256 0.171304i
\(795\) −17672.5 20047.4i −0.788403 0.894351i
\(796\) −9818.69 + 10582.0i −0.437204 + 0.471194i
\(797\) 10429.2 13077.8i 0.463516 0.581230i −0.494054 0.869431i \(-0.664486\pi\)
0.957570 + 0.288201i \(0.0930570\pi\)
\(798\) −20115.4 + 6257.95i −0.892328 + 0.277605i
\(799\) 5977.15 + 7495.12i 0.264651 + 0.331862i
\(800\) −13431.2 1006.53i −0.593579 0.0444826i
\(801\) 5205.56 + 10181.1i 0.229625 + 0.449105i
\(802\) −12573.8 21778.5i −0.553613 0.958886i
\(803\) 4934.27 8546.40i 0.216845 0.375586i
\(804\) −3629.57 4797.13i −0.159210 0.210425i
\(805\) 18465.6 + 3676.10i 0.808479 + 0.160951i
\(806\) −10219.6 + 2332.55i −0.446612 + 0.101936i
\(807\) 5955.66 3841.97i 0.259788 0.167588i
\(808\) −21301.7 8360.31i −0.927465 0.364003i
\(809\) −2621.90 1029.02i −0.113945 0.0447200i 0.307684 0.951489i \(-0.400446\pi\)
−0.421628 + 0.906769i \(0.638541\pi\)
\(810\) −419.832 8797.32i −0.0182116 0.381613i
\(811\) 23538.1 5372.42i 1.01916 0.232616i 0.319873 0.947460i \(-0.396360\pi\)
0.699283 + 0.714845i \(0.253503\pi\)
\(812\) −78.6793 2820.34i −0.00340037 0.121890i
\(813\) 7622.28 5767.12i 0.328813 0.248784i
\(814\) −1315.38 + 2278.31i −0.0566389 + 0.0981015i
\(815\) 6511.33 + 11278.0i 0.279855 + 0.484723i
\(816\) 223.188 528.658i 0.00957491 0.0226798i
\(817\) 12883.5 + 965.484i 0.551697 + 0.0413440i
\(818\) 12283.8 + 15403.4i 0.525053 + 0.658396i
\(819\) −7649.18 8635.03i −0.326354 0.368416i
\(820\) −168.824 + 211.698i −0.00718974 + 0.00901564i
\(821\) −13559.7 + 14613.9i −0.576416 + 0.621229i −0.952199 0.305479i \(-0.901183\pi\)
0.375783 + 0.926708i \(0.377374\pi\)
\(822\) −15458.2 + 13627.0i −0.655922 + 0.578219i
\(823\) −22333.9 15227.0i −0.945945 0.644934i −0.0110801 0.999939i \(-0.503527\pi\)
−0.934865 + 0.355004i \(0.884479\pi\)
\(824\) −24885.4 + 3750.87i −1.05209 + 0.158577i
\(825\) 4161.33 + 9235.89i 0.175611 + 0.389760i
\(826\) −4419.68 + 5038.06i −0.186175 + 0.212223i
\(827\) 18847.5 + 39137.2i 0.792491 + 1.64563i 0.763294 + 0.646052i \(0.223581\pi\)
0.0291976 + 0.999574i \(0.490705\pi\)
\(828\) 14165.0 13786.0i 0.594525 0.578620i
\(829\) 5463.18 + 5887.90i 0.228883 + 0.246677i 0.837043 0.547137i \(-0.184283\pi\)
−0.608160 + 0.793815i \(0.708092\pi\)
\(830\) −961.708 + 72.0701i −0.0402185 + 0.00301396i
\(831\) 11166.8 + 3758.63i 0.466153 + 0.156902i
\(832\) 6307.62i 0.262833i
\(833\) 6549.32 + 5429.86i 0.272413 + 0.225851i
\(834\) 2547.97 3033.19i 0.105790 0.125936i
\(835\) −6929.03 17654.9i −0.287172 0.731703i
\(836\) 1351.41 + 18033.3i 0.0559083 + 0.746045i
\(837\) 8401.38 + 37088.3i 0.346946 + 1.53161i
\(838\) 984.546 + 1444.06i 0.0405854 + 0.0595279i
\(839\) 5747.01 2767.61i 0.236483 0.113884i −0.311890 0.950118i \(-0.600962\pi\)
0.548372 + 0.836234i \(0.315248\pi\)
\(840\) 8669.05 + 12649.5i 0.356084 + 0.519583i
\(841\) −21197.4 10208.1i −0.869137 0.418554i
\(842\) −1900.55 12609.3i −0.0777877 0.516088i
\(843\) 5501.32 + 19593.8i 0.224763 + 0.800530i
\(844\) −8860.40 1335.49i −0.361360 0.0544662i
\(845\) −8795.22 8160.77i −0.358065 0.332236i
\(846\) −8383.36 + 15354.6i −0.340692 + 0.623996i
\(847\) 8182.71 8028.54i 0.331950 0.325695i
\(848\) 2484.28 1981.15i 0.100602 0.0802276i
\(849\) −7003.71 + 7172.73i −0.283118 + 0.289950i
\(850\) 895.404 + 2902.83i 0.0361319 + 0.117137i
\(851\) 7184.62 4148.04i 0.289407 0.167089i
\(852\) −23647.6 + 8592.42i −0.950883 + 0.345506i
\(853\) −8070.26 1841.99i −0.323940 0.0739371i 0.0574587 0.998348i \(-0.481700\pi\)
−0.381398 + 0.924411i \(0.624557\pi\)
\(854\) −3940.10 4667.54i −0.157878 0.187026i
\(855\) −9844.59 23425.4i −0.393775 0.936998i
\(856\) −25647.2 7911.12i −1.02407 0.315884i
\(857\) 6413.03 16340.1i 0.255618 0.651305i −0.744244 0.667908i \(-0.767190\pi\)
0.999862 + 0.0166033i \(0.00528525\pi\)
\(858\) 4710.48 2561.87i 0.187428 0.101935i
\(859\) −832.986 + 2700.48i −0.0330863 + 0.107263i −0.970610 0.240659i \(-0.922636\pi\)
0.937523 + 0.347922i \(0.113113\pi\)
\(860\) −823.431 3607.69i −0.0326497 0.143048i
\(861\) −696.679 + 1.68011i −0.0275758 + 6.65018e-5i
\(862\) −2031.03 + 8898.53i −0.0802520 + 0.351607i
\(863\) 4930.09 + 2846.39i 0.194464 + 0.112274i 0.594071 0.804413i \(-0.297520\pi\)
−0.399607 + 0.916687i \(0.630853\pi\)
\(864\) 25863.7 + 42.2876i 1.01841 + 0.00166511i
\(865\) −3580.26 + 1104.36i −0.140731 + 0.0434098i
\(866\) 1140.35 15216.9i 0.0447467 0.597104i
\(867\) 22324.8 + 568.921i 0.874499 + 0.0222855i
\(868\) −18246.1 18596.5i −0.713494 0.727196i
\(869\) 772.352 + 615.931i 0.0301499 + 0.0240437i
\(870\) −1828.59 + 228.140i −0.0712587 + 0.00889044i
\(871\) −766.978 + 5088.57i −0.0298371 + 0.197956i
\(872\) −21720.1 + 31857.5i −0.843502 + 1.23719i
\(873\) −46154.3 + 15451.0i −1.78933 + 0.599013i
\(874\) −13398.0 + 27821.3i −0.518530 + 1.07674i
\(875\) 25468.9 + 7084.63i 0.984005 + 0.273719i
\(876\) −9663.54 2466.25i −0.372718 0.0951219i
\(877\) 26367.3 17976.9i 1.01523 0.692174i 0.0631471 0.998004i \(-0.479886\pi\)
0.952086 + 0.305830i \(0.0989339\pi\)
\(878\) 1155.91 1072.53i 0.0444305 0.0412255i
\(879\) −36809.3 26494.6i −1.41246 1.01665i
\(880\) 797.057 312.822i 0.0305327 0.0119832i
\(881\) −37475.4 −1.43312 −0.716559 0.697526i \(-0.754284\pi\)
−0.716559 + 0.697526i \(0.754284\pi\)
\(882\) −4504.41 + 14857.0i −0.171963 + 0.567189i
\(883\) −15664.1 −0.596985 −0.298493 0.954412i \(-0.596484\pi\)
−0.298493 + 0.954412i \(0.596484\pi\)
\(884\) −2764.29 + 1084.90i −0.105173 + 0.0412774i
\(885\) −6560.94 4722.42i −0.249202 0.179370i
\(886\) −20930.8 + 19420.9i −0.793661 + 0.736409i
\(887\) 1649.81 1124.82i 0.0624522 0.0425792i −0.531691 0.846938i \(-0.678443\pi\)
0.594144 + 0.804359i \(0.297491\pi\)
\(888\) 6547.16 + 1670.91i 0.247419 + 0.0631443i
\(889\) −37963.8 33304.1i −1.43224 1.25645i
\(890\) −2220.00 + 4609.88i −0.0836119 + 0.173622i
\(891\) −9265.96 17103.8i −0.348396 0.643097i
\(892\) −9037.48 + 13255.6i −0.339235 + 0.497566i
\(893\) −7522.48 + 49908.4i −0.281893 + 1.87024i
\(894\) 27647.6 3449.39i 1.03431 0.129044i
\(895\) −8519.68 6794.22i −0.318192 0.253749i
\(896\) −16034.2 + 9863.51i −0.597840 + 0.367764i
\(897\) −16903.8 430.772i −0.629209 0.0160346i
\(898\) −1510.86 + 20161.0i −0.0561447 + 0.749199i
\(899\) 7603.14 2345.26i 0.282068 0.0870064i
\(900\) 7849.62 6572.05i 0.290727 0.243409i
\(901\) −15329.3 8850.37i −0.566806 0.327246i
\(902\) 72.0595 315.713i 0.00266000 0.0116542i
\(903\) 5918.33 7458.17i 0.218106 0.274853i
\(904\) 1242.23 + 5442.58i 0.0457036 + 0.200241i
\(905\) 4704.43 15251.4i 0.172796 0.560192i
\(906\) 7138.18 3882.20i 0.261755 0.142359i
\(907\) −2415.77 + 6155.28i −0.0884392 + 0.225339i −0.968250 0.249985i \(-0.919574\pi\)
0.879810 + 0.475325i \(0.157669\pi\)
\(908\) 3891.87 + 1200.48i 0.142243 + 0.0438761i
\(909\) 25761.1 10826.2i 0.939980 0.395029i
\(910\) 1007.82 5062.43i 0.0367132 0.184415i
\(911\) 588.075 + 134.224i 0.0213872 + 0.00488150i 0.233201 0.972429i \(-0.425080\pi\)
−0.211814 + 0.977310i \(0.567937\pi\)
\(912\) 2839.55 1031.76i 0.103100 0.0374615i
\(913\) −1844.68 + 1065.03i −0.0668674 + 0.0386059i
\(914\) −6379.28 20681.1i −0.230862 0.748436i
\(915\) 5147.24 5271.46i 0.185970 0.190458i
\(916\) −12367.5 + 9862.78i −0.446108 + 0.355759i
\(917\) 27440.3 + 17608.1i 0.988178 + 0.634100i
\(918\) −2122.29 5433.61i −0.0763029 0.195355i
\(919\) 18742.3 + 17390.3i 0.672744 + 0.624215i 0.940709 0.339213i \(-0.110161\pi\)
−0.267966 + 0.963429i \(0.586351\pi\)
\(920\) 22227.2 + 3350.21i 0.796531 + 0.120058i
\(921\) 6236.06 + 22210.7i 0.223111 + 0.794644i
\(922\) −4037.49 26787.0i −0.144216 0.956813i
\(923\) 19392.2 + 9338.79i 0.691551 + 0.333034i
\(924\) 11557.4 + 6635.57i 0.411484 + 0.236249i
\(925\) 3871.32 1864.33i 0.137609 0.0662690i
\(926\) −3588.17 5262.88i −0.127338 0.186770i
\(927\) 18582.3 24476.6i 0.658385 0.867224i
\(928\) −404.403 5396.38i −0.0143051 0.190889i
\(929\) 2508.64 + 6391.90i 0.0885960 + 0.225739i 0.968304 0.249776i \(-0.0803570\pi\)
−0.879708 + 0.475515i \(0.842262\pi\)
\(930\) −10944.7 + 13029.0i −0.385905 + 0.459395i
\(931\) 2497.11 + 44720.9i 0.0879049 + 1.57429i
\(932\) 11197.9i 0.393562i
\(933\) 20442.9 + 6880.85i 0.717332 + 0.241446i
\(934\) −6125.11 + 459.013i −0.214582 + 0.0160807i
\(935\) −3244.30 3496.52i −0.113476 0.122298i
\(936\) −9605.56 9869.59i −0.335435 0.344656i
\(937\) −14538.5 30189.5i −0.506886 1.05256i −0.984726 0.174113i \(-0.944294\pi\)
0.477840 0.878447i \(-0.341420\pi\)
\(938\) 6373.74 2708.98i 0.221866 0.0942978i
\(939\) 16035.9 + 35591.0i 0.557308 + 1.23692i
\(940\) 14294.9 2154.61i 0.496008 0.0747612i
\(941\) −10545.9 7190.07i −0.365342 0.249086i 0.366709 0.930336i \(-0.380484\pi\)
−0.732051 + 0.681250i \(0.761437\pi\)
\(942\) −5725.02 + 5046.82i −0.198016 + 0.174559i
\(943\) −694.595 + 748.595i −0.0239863 + 0.0258511i
\(944\) 599.260 751.449i 0.0206613 0.0259084i
\(945\) −18359.4 3686.19i −0.631992 0.126891i
\(946\) 2759.32 + 3460.08i 0.0948343 + 0.118918i
\(947\) 35838.7 + 2685.74i 1.22978 + 0.0921593i 0.673723 0.738984i \(-0.264694\pi\)
0.556058 + 0.831144i \(0.312313\pi\)
\(948\) 388.300 919.755i 0.0133032 0.0315108i
\(949\) 4265.90 + 7388.75i 0.145919 + 0.252739i
\(950\) −7996.76 + 13850.8i −0.273104 + 0.473031i
\(951\) 7121.58 5388.28i 0.242832 0.183730i
\(952\) 8114.46 + 6108.80i 0.276251 + 0.207970i
\(953\) −25273.2 + 5768.45i −0.859055 + 0.196074i −0.629288 0.777172i \(-0.716654\pi\)
−0.229767 + 0.973246i \(0.573796\pi\)
\(954\) 4051.37 32046.0i 0.137493 1.08756i
\(955\) −22174.1 8702.70i −0.751348 0.294882i
\(956\) 325.660 + 127.812i 0.0110174 + 0.00432400i
\(957\) −3420.16 + 2206.34i −0.115526 + 0.0745253i
\(958\) 27502.6 6277.28i 0.927524 0.211701i
\(959\) 20103.6 + 38929.6i 0.676935 + 1.31085i
\(960\) 6177.95 + 8165.26i 0.207700 + 0.274513i
\(961\) 21839.8 37827.7i 0.733101 1.26977i
\(962\) −1137.21 1969.70i −0.0381134 0.0660143i
\(963\) 29181.2 14920.2i 0.976481 0.499269i
\(964\) 9667.95 + 724.513i 0.323012 + 0.0242064i
\(965\) 5031.60 + 6309.43i 0.167848 + 0.210474i
\(966\) 11425.7 + 19680.2i 0.380555 + 0.655485i
\(967\) 4920.53 6170.15i 0.163634 0.205190i −0.693254 0.720693i \(-0.743824\pi\)
0.856888 + 0.515503i \(0.172395\pi\)
\(968\) 9308.93 10032.6i 0.309091 0.333121i
\(969\) −11129.2 12624.8i −0.368959 0.418541i
\(970\) −17994.4 12268.4i −0.595633 0.406096i
\(971\) −11729.7 + 1767.96i −0.387665 + 0.0584311i −0.339983 0.940432i \(-0.610421\pi\)
−0.0476816 + 0.998863i \(0.515183\pi\)
\(972\) −14110.5 + 13688.2i −0.465634 + 0.451697i
\(973\) −4936.78 6823.99i −0.162658 0.224838i
\(974\) 5006.95 + 10397.0i 0.164716 + 0.342036i
\(975\) −8713.91 876.755i −0.286224 0.0287986i
\(976\) 595.828 + 642.150i 0.0195410 + 0.0210602i
\(977\) −32263.9 + 2417.84i −1.05651 + 0.0791747i −0.591640 0.806203i \(-0.701519\pi\)
−0.464873 + 0.885377i \(0.653900\pi\)
\(978\) −5021.07 + 14917.5i −0.164168 + 0.487740i
\(979\) 11300.8i 0.368923i
\(980\) 12029.2 4458.99i 0.392100 0.145344i
\(981\) −8125.30 46376.4i −0.264445 1.50936i
\(982\) 1749.65 + 4458.04i 0.0568570 + 0.144869i
\(983\) 1622.21 + 21646.9i 0.0526352 + 0.702368i 0.959637 + 0.281241i \(0.0907461\pi\)
−0.907002 + 0.421127i \(0.861635\pi\)
\(984\) −830.740 + 41.0066i −0.0269136 + 0.00132850i
\(985\) −8361.05 12263.4i −0.270462 0.396695i
\(986\) −1099.66 + 529.566i −0.0355174 + 0.0171043i
\(987\) 27327.0 + 25233.4i 0.881285 + 0.813767i
\(988\) −14086.0 6783.47i −0.453579 0.218432i
\(989\) −2080.05 13800.2i −0.0668774 0.443703i
\(990\) 3588.56 7930.00i 0.115204 0.254578i
\(991\) −55171.6 8315.78i −1.76850 0.266559i −0.817540 0.575871i \(-0.804663\pi\)
−0.950960 + 0.309313i \(0.899901\pi\)
\(992\) −36630.1 33987.7i −1.17238 1.08781i
\(993\) 1072.89 + 5322.20i 0.0342871 + 0.170086i
\(994\) −2969.35 28814.0i −0.0947504 0.919441i
\(995\) 15672.7 12498.6i 0.499356 0.398223i
\(996\) 1540.20 + 1503.91i 0.0489991 + 0.0478445i
\(997\) 11637.7 + 37728.4i 0.369678 + 1.19847i 0.929177 + 0.369636i \(0.120517\pi\)
−0.559499 + 0.828831i \(0.689006\pi\)
\(998\) 15216.5 8785.27i 0.482636 0.278650i
\(999\) −7152.40 + 4113.86i −0.226518 + 0.130287i
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 147.4.o.a.131.21 yes 648
3.2 odd 2 inner 147.4.o.a.131.34 yes 648
49.3 odd 42 inner 147.4.o.a.101.34 yes 648
147.101 even 42 inner 147.4.o.a.101.21 648
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
147.4.o.a.101.21 648 147.101 even 42 inner
147.4.o.a.101.34 yes 648 49.3 odd 42 inner
147.4.o.a.131.21 yes 648 1.1 even 1 trivial
147.4.o.a.131.34 yes 648 3.2 odd 2 inner