Properties

Label 197.4.g.a.16.19
Level $197$
Weight $4$
Character 197.16
Analytic conductor $11.623$
Analytic rank $0$
Dimension $2058$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [197,4,Mod(16,197)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(197, base_ring=CyclotomicField(98))
 
chi = DirichletCharacter(H, H._module([2]))
 
N = Newforms(chi, 4, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("197.16");
 
S:= CuspForms(chi, 4);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 197 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 197.g (of order \(49\), degree \(42\), 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: \(11.6233762711\)
Analytic rank: \(0\)
Dimension: \(2058\)
Relative dimension: \(49\) over \(\Q(\zeta_{49})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{49}]$

Embedding invariants

Embedding label 16.19
Character \(\chi\) \(=\) 197.16
Dual form 197.4.g.a.37.19

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.84830 - 0.118665i) q^{2} +(-3.90867 + 5.60337i) q^{3} +(-4.53219 - 0.584361i) q^{4} +(-3.25835 + 2.12095i) q^{5} +(7.88932 - 9.89289i) q^{6} +(29.1744 - 1.87306i) q^{7} +(22.8511 + 4.45025i) q^{8} +(-6.79524 - 18.4649i) q^{9} +O(q^{10})\) \(q+(-1.84830 - 0.118665i) q^{2} +(-3.90867 + 5.60337i) q^{3} +(-4.53219 - 0.584361i) q^{4} +(-3.25835 + 2.12095i) q^{5} +(7.88932 - 9.89289i) q^{6} +(29.1744 - 1.87306i) q^{7} +(22.8511 + 4.45025i) q^{8} +(-6.79524 - 18.4649i) q^{9} +(6.27408 - 3.53350i) q^{10} +(5.84212 - 19.6840i) q^{11} +(20.9892 - 23.1115i) q^{12} +(0.543376 - 16.9445i) q^{13} -54.1454 q^{14} +(0.851337 - 26.5478i) q^{15} +(-6.34559 - 1.66401i) q^{16} +(16.8720 + 16.3396i) q^{17} +(10.3685 + 34.9349i) q^{18} +(78.1935 + 37.6560i) q^{19} +(16.0068 - 7.70849i) q^{20} +(-103.538 + 170.796i) q^{21} +(-13.1338 + 35.6888i) q^{22} +(7.88553 + 48.7748i) q^{23} +(-114.254 + 110.649i) q^{24} +(-44.4795 + 100.480i) q^{25} +(-3.01503 + 31.2540i) q^{26} +(-48.4039 - 12.6930i) q^{27} +(-133.319 - 8.55934i) q^{28} +(-43.7914 + 48.2192i) q^{29} +(-4.72382 + 48.9673i) q^{30} +(222.669 - 90.1488i) q^{31} +(-165.224 - 54.8582i) q^{32} +(87.4622 + 109.674i) q^{33} +(-29.2456 - 32.2027i) q^{34} +(-91.0877 + 67.9805i) q^{35} +(20.0072 + 87.6571i) q^{36} +(-102.809 + 26.9596i) q^{37} +(-140.057 - 78.8784i) q^{38} +(92.8223 + 69.2751i) q^{39} +(-83.8955 + 33.9655i) q^{40} +(112.974 + 109.409i) q^{41} +(211.636 - 303.397i) q^{42} +(-87.6135 + 295.199i) q^{43} +(-37.9802 + 85.7979i) q^{44} +(61.3042 + 45.7525i) q^{45} +(-8.78697 - 91.0862i) q^{46} +(-126.966 - 243.370i) q^{47} +(34.1269 - 29.0526i) q^{48} +(507.455 - 65.4291i) q^{49} +(94.1349 - 180.439i) q^{50} +(-157.504 + 30.6739i) q^{51} +(-12.3644 + 76.4780i) q^{52} +(16.0844 + 166.731i) q^{53} +(87.9587 + 29.2043i) q^{54} +(22.7132 + 76.5283i) q^{55} +(675.004 + 87.0321i) q^{56} +(-516.633 + 290.962i) q^{57} +(86.6615 - 83.9270i) q^{58} +(18.2653 + 10.2868i) q^{59} +(-19.3719 + 119.822i) q^{60} +(157.096 + 225.209i) q^{61} +(-422.257 + 140.199i) q^{62} +(-232.833 - 525.974i) q^{63} +(347.520 + 140.695i) q^{64} +(34.1678 + 56.3634i) q^{65} +(-148.642 - 213.089i) q^{66} +(132.136 + 253.280i) q^{67} +(-66.9189 - 83.9137i) q^{68} +(-304.125 - 146.459i) q^{69} +(176.424 - 114.839i) q^{70} +(250.281 + 680.095i) q^{71} +(-73.1054 - 452.183i) q^{72} +(580.302 - 152.173i) q^{73} +(193.220 - 37.6297i) q^{74} +(-389.171 - 641.979i) q^{75} +(-332.383 - 216.357i) q^{76} +(133.571 - 585.214i) q^{77} +(-163.343 - 139.056i) q^{78} +(-629.130 - 409.518i) q^{79} +(24.2054 - 8.03674i) q^{80} +(664.828 - 565.977i) q^{81} +(-195.827 - 215.627i) q^{82} +(-181.951 + 87.6231i) q^{83} +(569.060 - 713.578i) q^{84} +(-89.6303 - 17.4555i) q^{85} +(196.966 - 535.220i) q^{86} +(-99.0240 - 433.852i) q^{87} +(221.098 - 423.803i) q^{88} +(-51.8448 - 20.9896i) q^{89} +(-107.879 - 91.8390i) q^{90} +(-15.8853 - 495.363i) q^{91} +(-7.23662 - 225.665i) q^{92} +(-365.204 + 1600.06i) q^{93} +(205.792 + 464.887i) q^{94} +(-334.648 + 43.1480i) q^{95} +(953.198 - 711.390i) q^{96} +(-152.465 + 251.508i) q^{97} +(-945.693 + 60.7155i) q^{98} +(-403.162 + 25.8838i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2058 q - 42 q^{2} - 42 q^{3} - 84 q^{4} - 42 q^{5} - 119 q^{6} - 84 q^{7} - 98 q^{8} - 42 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 2058 q - 42 q^{2} - 42 q^{3} - 84 q^{4} - 42 q^{5} - 119 q^{6} - 84 q^{7} - 98 q^{8} - 42 q^{9} + 168 q^{10} - 140 q^{11} + 14 q^{12} - 42 q^{13} - 812 q^{14} + 1638 q^{15} + 672 q^{16} - 42 q^{17} + 147 q^{18} - 567 q^{19} - 35 q^{20} - 42 q^{21} + 1302 q^{22} - 42 q^{23} - 434 q^{24} - 42 q^{25} + 364 q^{26} - 1596 q^{27} - 147 q^{28} + 4676 q^{29} - 847 q^{30} + 882 q^{31} + 910 q^{32} - 287 q^{33} - 882 q^{34} - 42 q^{35} - 17787 q^{36} - 1400 q^{37} + 14 q^{38} + 168 q^{39} + 3962 q^{40} - 392 q^{41} + 1764 q^{42} + 294 q^{43} - 12978 q^{44} + 2814 q^{45} + 840 q^{46} + 28 q^{47} + 3654 q^{48} + 1554 q^{49} - 4998 q^{50} - 98 q^{51} - 3703 q^{52} - 42 q^{53} - 1365 q^{54} + 4046 q^{55} - 3073 q^{56} + 14567 q^{57} - 10402 q^{58} + 4004 q^{59} - 4536 q^{60} - 1050 q^{61} + 210 q^{62} + 2254 q^{63} + 3822 q^{64} - 1106 q^{65} - 875 q^{66} - 3612 q^{67} + 819 q^{68} + 4333 q^{69} - 5292 q^{70} + 11424 q^{71} - 1876 q^{72} - 714 q^{73} + 1288 q^{74} - 1316 q^{75} + 8715 q^{76} + 6629 q^{77} + 13986 q^{78} - 1512 q^{79} + 406 q^{80} + 1078 q^{81} - 42 q^{82} - 5999 q^{83} - 7595 q^{84} + 30492 q^{85} + 7749 q^{86} - 35 q^{87} + 8897 q^{88} - 196 q^{89} - 14910 q^{90} - 8232 q^{91} - 7938 q^{92} - 2639 q^{93} - 11116 q^{94} + 3703 q^{95} + 14497 q^{96} - 2674 q^{97} - 10024 q^{98} + 6237 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{49}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.84830 0.118665i −0.653473 0.0419543i −0.266198 0.963919i \(-0.585767\pi\)
−0.387275 + 0.921964i \(0.626584\pi\)
\(3\) −3.90867 + 5.60337i −0.752224 + 1.07837i 0.241919 + 0.970297i \(0.422223\pi\)
−0.994143 + 0.108073i \(0.965532\pi\)
\(4\) −4.53219 0.584361i −0.566524 0.0730451i
\(5\) −3.25835 + 2.12095i −0.291435 + 0.189703i −0.682943 0.730471i \(-0.739300\pi\)
0.391508 + 0.920175i \(0.371953\pi\)
\(6\) 7.88932 9.89289i 0.536800 0.673126i
\(7\) 29.1744 1.87306i 1.57527 0.101136i 0.748292 0.663369i \(-0.230874\pi\)
0.826979 + 0.562233i \(0.190058\pi\)
\(8\) 22.8511 + 4.45025i 1.00989 + 0.196675i
\(9\) −6.79524 18.4649i −0.251675 0.683883i
\(10\) 6.27408 3.53350i 0.198404 0.111739i
\(11\) 5.84212 19.6840i 0.160133 0.539542i −0.839861 0.542801i \(-0.817364\pi\)
0.999995 + 0.00325871i \(0.00103728\pi\)
\(12\) 20.9892 23.1115i 0.504922 0.555976i
\(13\) 0.543376 16.9445i 0.0115927 0.361504i −0.977210 0.212275i \(-0.931913\pi\)
0.988803 0.149229i \(-0.0476791\pi\)
\(14\) −54.1454 −1.03364
\(15\) 0.851337 26.5478i 0.0146543 0.456974i
\(16\) −6.34559 1.66401i −0.0991498 0.0260001i
\(17\) 16.8720 + 16.3396i 0.240710 + 0.233114i 0.806204 0.591638i \(-0.201519\pi\)
−0.565494 + 0.824752i \(0.691314\pi\)
\(18\) 10.3685 + 34.9349i 0.135771 + 0.457458i
\(19\) 78.1935 + 37.6560i 0.944148 + 0.454678i 0.841631 0.540054i \(-0.181596\pi\)
0.102517 + 0.994731i \(0.467310\pi\)
\(20\) 16.0068 7.70849i 0.178962 0.0861835i
\(21\) −103.538 + 170.796i −1.07590 + 1.77480i
\(22\) −13.1338 + 35.6888i −0.127279 + 0.345858i
\(23\) 7.88553 + 48.7748i 0.0714890 + 0.442185i 0.997850 + 0.0655466i \(0.0208791\pi\)
−0.926361 + 0.376638i \(0.877080\pi\)
\(24\) −114.254 + 110.649i −0.971749 + 0.941087i
\(25\) −44.4795 + 100.480i −0.355836 + 0.803840i
\(26\) −3.01503 + 31.2540i −0.0227422 + 0.235747i
\(27\) −48.4039 12.6930i −0.345012 0.0904729i
\(28\) −133.319 8.55934i −0.899816 0.0577701i
\(29\) −43.7914 + 48.2192i −0.280409 + 0.308761i −0.864206 0.503138i \(-0.832179\pi\)
0.583797 + 0.811900i \(0.301566\pi\)
\(30\) −4.72382 + 48.9673i −0.0287482 + 0.298005i
\(31\) 222.669 90.1488i 1.29008 0.522297i 0.375548 0.926803i \(-0.377455\pi\)
0.914535 + 0.404506i \(0.132557\pi\)
\(32\) −165.224 54.8582i −0.912744 0.303052i
\(33\) 87.4622 + 109.674i 0.461370 + 0.578540i
\(34\) −29.2456 32.2027i −0.147517 0.162433i
\(35\) −91.0877 + 67.9805i −0.439904 + 0.328309i
\(36\) 20.0072 + 87.6571i 0.0926257 + 0.405820i
\(37\) −102.809 + 26.9596i −0.456801 + 0.119787i −0.474883 0.880049i \(-0.657509\pi\)
0.0180815 + 0.999837i \(0.494244\pi\)
\(38\) −140.057 78.8784i −0.597899 0.336731i
\(39\) 92.8223 + 69.2751i 0.381115 + 0.284433i
\(40\) −83.8955 + 33.9655i −0.331626 + 0.134261i
\(41\) 112.974 + 109.409i 0.430331 + 0.416753i 0.878908 0.476992i \(-0.158273\pi\)
−0.448576 + 0.893744i \(0.648069\pi\)
\(42\) 211.636 303.397i 0.777529 1.11465i
\(43\) −87.6135 + 295.199i −0.310719 + 1.04692i 0.647781 + 0.761826i \(0.275697\pi\)
−0.958501 + 0.285090i \(0.907976\pi\)
\(44\) −37.9802 + 85.7979i −0.130130 + 0.293966i
\(45\) 61.3042 + 45.7525i 0.203082 + 0.151564i
\(46\) −8.78697 91.0862i −0.0281645 0.291955i
\(47\) −126.966 243.370i −0.394040 0.755301i 0.605126 0.796130i \(-0.293123\pi\)
−0.999166 + 0.0408287i \(0.987000\pi\)
\(48\) 34.1269 29.0526i 0.102621 0.0873622i
\(49\) 507.455 65.4291i 1.47946 0.190755i
\(50\) 94.1349 180.439i 0.266254 0.510359i
\(51\) −157.504 + 30.6739i −0.432451 + 0.0842198i
\(52\) −12.3644 + 76.4780i −0.0329737 + 0.203954i
\(53\) 16.0844 + 166.731i 0.0416860 + 0.432119i 0.992490 + 0.122326i \(0.0390353\pi\)
−0.950804 + 0.309793i \(0.899740\pi\)
\(54\) 87.9587 + 29.2043i 0.221660 + 0.0735964i
\(55\) 22.7132 + 76.5283i 0.0556845 + 0.187619i
\(56\) 675.004 + 87.0321i 1.61073 + 0.207681i
\(57\) −516.633 + 290.962i −1.20052 + 0.676121i
\(58\) 86.6615 83.9270i 0.196193 0.190003i
\(59\) 18.2653 + 10.2868i 0.0403040 + 0.0226988i 0.510738 0.859736i \(-0.329372\pi\)
−0.470434 + 0.882435i \(0.655903\pi\)
\(60\) −19.3719 + 119.822i −0.0416818 + 0.257816i
\(61\) 157.096 + 225.209i 0.329740 + 0.472707i 0.950249 0.311493i \(-0.100829\pi\)
−0.620509 + 0.784200i \(0.713074\pi\)
\(62\) −422.257 + 140.199i −0.864947 + 0.287182i
\(63\) −232.833 525.974i −0.465622 1.05185i
\(64\) 347.520 + 140.695i 0.678750 + 0.274795i
\(65\) 34.1678 + 56.3634i 0.0652000 + 0.107554i
\(66\) −148.642 213.089i −0.277220 0.397416i
\(67\) 132.136 + 253.280i 0.240940 + 0.461837i 0.976469 0.215656i \(-0.0691889\pi\)
−0.735529 + 0.677493i \(0.763066\pi\)
\(68\) −66.9189 83.9137i −0.119340 0.149647i
\(69\) −304.125 146.459i −0.530614 0.255530i
\(70\) 176.424 114.839i 0.301239 0.196085i
\(71\) 250.281 + 680.095i 0.418351 + 1.13679i 0.955933 + 0.293584i \(0.0948479\pi\)
−0.537582 + 0.843211i \(0.680662\pi\)
\(72\) −73.1054 452.183i −0.119660 0.740142i
\(73\) 580.302 152.173i 0.930401 0.243980i 0.242806 0.970075i \(-0.421932\pi\)
0.687594 + 0.726095i \(0.258667\pi\)
\(74\) 193.220 37.6297i 0.303533 0.0591130i
\(75\) −389.171 641.979i −0.599168 0.988391i
\(76\) −332.383 216.357i −0.501670 0.326551i
\(77\) 133.571 585.214i 0.197686 0.866120i
\(78\) −163.343 139.056i −0.237115 0.201859i
\(79\) −629.130 409.518i −0.895983 0.583221i 0.0130634 0.999915i \(-0.495842\pi\)
−0.909047 + 0.416694i \(0.863189\pi\)
\(80\) 24.2054 8.03674i 0.0338281 0.0112317i
\(81\) 664.828 565.977i 0.911973 0.776374i
\(82\) −195.827 215.627i −0.263725 0.290391i
\(83\) −181.951 + 87.6231i −0.240623 + 0.115878i −0.550310 0.834961i \(-0.685490\pi\)
0.309686 + 0.950839i \(0.399776\pi\)
\(84\) 569.060 713.578i 0.739161 0.926878i
\(85\) −89.6303 17.4555i −0.114374 0.0222743i
\(86\) 196.966 535.220i 0.246969 0.671096i
\(87\) −99.0240 433.852i −0.122029 0.534642i
\(88\) 221.098 423.803i 0.267831 0.513382i
\(89\) −51.8448 20.9896i −0.0617476 0.0249989i 0.344185 0.938902i \(-0.388155\pi\)
−0.405933 + 0.913903i \(0.633053\pi\)
\(90\) −107.879 91.8390i −0.126350 0.107563i
\(91\) −15.8853 495.363i −0.0182993 0.570639i
\(92\) −7.23662 225.665i −0.00820076 0.255730i
\(93\) −365.204 + 1600.06i −0.407203 + 1.78407i
\(94\) 205.792 + 464.887i 0.225806 + 0.510100i
\(95\) −334.648 + 43.1480i −0.361412 + 0.0465989i
\(96\) 953.198 711.390i 1.01339 0.756312i
\(97\) −152.465 + 251.508i −0.159593 + 0.263265i −0.924747 0.380581i \(-0.875724\pi\)
0.765154 + 0.643847i \(0.222663\pi\)
\(98\) −945.693 + 60.7155i −0.974790 + 0.0625836i
\(99\) −403.162 + 25.8838i −0.409286 + 0.0262770i
\(100\) 260.306 429.402i 0.260306 0.429402i
\(101\) −1104.77 + 824.510i −1.08840 + 0.812295i −0.983268 0.182163i \(-0.941690\pi\)
−0.105133 + 0.994458i \(0.533527\pi\)
\(102\) 294.755 38.0044i 0.286128 0.0368922i
\(103\) 783.526 + 1770.00i 0.749544 + 1.69323i 0.720301 + 0.693661i \(0.244004\pi\)
0.0292431 + 0.999572i \(0.490690\pi\)
\(104\) 87.8239 384.782i 0.0828062 0.362798i
\(105\) −24.8884 776.112i −0.0231320 0.721341i
\(106\) −9.94360 310.078i −0.00911140 0.284127i
\(107\) −522.478 444.792i −0.472055 0.401866i 0.380273 0.924874i \(-0.375830\pi\)
−0.852328 + 0.523008i \(0.824810\pi\)
\(108\) 211.958 + 85.8124i 0.188849 + 0.0764565i
\(109\) 373.849 716.598i 0.328516 0.629703i −0.664553 0.747241i \(-0.731378\pi\)
0.993068 + 0.117539i \(0.0375004\pi\)
\(110\) −32.8996 144.142i −0.0285168 0.124940i
\(111\) 250.781 681.452i 0.214442 0.582707i
\(112\) −188.246 36.6608i −0.158817 0.0309297i
\(113\) −1323.65 + 1659.80i −1.10193 + 1.38178i −0.184999 + 0.982739i \(0.559228\pi\)
−0.916933 + 0.399041i \(0.869343\pi\)
\(114\) 989.420 476.480i 0.812874 0.391460i
\(115\) −129.143 142.200i −0.104718 0.115306i
\(116\) 226.648 192.948i 0.181412 0.154438i
\(117\) −316.570 + 105.108i −0.250144 + 0.0830536i
\(118\) −32.5390 21.1806i −0.0253853 0.0165240i
\(119\) 522.836 + 445.097i 0.402759 + 0.342874i
\(120\) 137.598 602.858i 0.104675 0.458610i
\(121\) 762.164 + 496.114i 0.572625 + 0.372738i
\(122\) −263.637 434.896i −0.195644 0.322735i
\(123\) −1054.64 + 205.391i −0.773119 + 0.150565i
\(124\) −1061.86 + 278.452i −0.769014 + 0.201659i
\(125\) −145.745 901.487i −0.104287 0.645051i
\(126\) 367.931 + 999.786i 0.260142 + 0.706889i
\(127\) 404.337 263.194i 0.282513 0.183895i −0.396474 0.918046i \(-0.629766\pi\)
0.678987 + 0.734151i \(0.262419\pi\)
\(128\) 629.196 + 303.005i 0.434481 + 0.209235i
\(129\) −1311.66 1644.77i −0.895233 1.12259i
\(130\) −56.4640 108.231i −0.0380940 0.0730191i
\(131\) 1046.38 + 1500.07i 0.697886 + 1.00047i 0.998902 + 0.0468530i \(0.0149192\pi\)
−0.301016 + 0.953619i \(0.597326\pi\)
\(132\) −332.306 548.173i −0.219117 0.361457i
\(133\) 2351.78 + 952.131i 1.53327 + 0.620754i
\(134\) −214.172 483.817i −0.138072 0.311906i
\(135\) 184.638 61.3040i 0.117712 0.0390830i
\(136\) 312.829 + 448.463i 0.197241 + 0.282760i
\(137\) 74.7047 462.075i 0.0465873 0.288159i −0.953317 0.301970i \(-0.902356\pi\)
0.999905 + 0.0138115i \(0.00439648\pi\)
\(138\) 544.735 + 306.789i 0.336021 + 0.189244i
\(139\) −1012.43 + 980.481i −0.617791 + 0.598297i −0.936975 0.349395i \(-0.886387\pi\)
0.319184 + 0.947693i \(0.396591\pi\)
\(140\) 452.552 254.872i 0.273197 0.153862i
\(141\) 1859.96 + 239.815i 1.11090 + 0.143235i
\(142\) −381.892 1286.72i −0.225687 0.760416i
\(143\) −330.361 109.688i −0.193190 0.0641436i
\(144\) 12.3941 + 128.478i 0.00717250 + 0.0743505i
\(145\) 40.4171 249.994i 0.0231480 0.143178i
\(146\) −1090.63 + 212.400i −0.618228 + 0.120400i
\(147\) −1616.85 + 3099.20i −0.907181 + 1.73890i
\(148\) 481.702 62.1086i 0.267538 0.0344953i
\(149\) −396.482 + 337.530i −0.217994 + 0.185581i −0.750550 0.660814i \(-0.770211\pi\)
0.532556 + 0.846395i \(0.321232\pi\)
\(150\) 643.125 + 1232.75i 0.350073 + 0.671024i
\(151\) −21.8171 226.157i −0.0117580 0.121884i 0.987633 0.156785i \(-0.0501129\pi\)
−0.999391 + 0.0349011i \(0.988888\pi\)
\(152\) 1619.23 + 1208.46i 0.864058 + 0.644863i
\(153\) 187.060 422.571i 0.0988423 0.223286i
\(154\) −316.324 + 1065.80i −0.165520 + 0.557692i
\(155\) −534.332 + 766.006i −0.276894 + 0.396949i
\(156\) −380.207 368.210i −0.195134 0.188977i
\(157\) 2598.43 1051.99i 1.32087 0.534762i 0.397125 0.917764i \(-0.370008\pi\)
0.923747 + 0.383003i \(0.125110\pi\)
\(158\) 1114.23 + 831.569i 0.561032 + 0.418709i
\(159\) −997.127 561.571i −0.497341 0.280097i
\(160\) 654.709 171.685i 0.323496 0.0848305i
\(161\) 321.414 + 1408.21i 0.157335 + 0.689331i
\(162\) −1295.96 + 967.203i −0.628522 + 0.469078i
\(163\) −223.150 245.713i −0.107230 0.118072i 0.684305 0.729196i \(-0.260106\pi\)
−0.791535 + 0.611124i \(0.790718\pi\)
\(164\) −448.085 561.881i −0.213351 0.267534i
\(165\) −517.595 171.853i −0.244210 0.0810834i
\(166\) 346.698 140.363i 0.162102 0.0656280i
\(167\) −322.603 + 3344.12i −0.149484 + 1.54955i 0.550158 + 0.835061i \(0.314568\pi\)
−0.699641 + 0.714494i \(0.746657\pi\)
\(168\) −3126.04 + 3442.12i −1.43559 + 1.58075i
\(169\) 1905.67 + 122.348i 0.867395 + 0.0556886i
\(170\) 163.592 + 42.8990i 0.0738057 + 0.0193541i
\(171\) 163.969 1699.71i 0.0733277 0.760118i
\(172\) 569.584 1286.70i 0.252502 0.570407i
\(173\) 960.617 930.305i 0.422164 0.408843i −0.453889 0.891058i \(-0.649964\pi\)
0.876053 + 0.482215i \(0.160168\pi\)
\(174\) 131.543 + 813.640i 0.0573118 + 0.354494i
\(175\) −1109.46 + 3014.76i −0.479241 + 1.30225i
\(176\) −69.8261 + 115.185i −0.0299054 + 0.0493320i
\(177\) −129.034 + 62.1394i −0.0547954 + 0.0263881i
\(178\) 93.3341 + 44.9473i 0.0393016 + 0.0189266i
\(179\) −1224.98 4127.37i −0.511506 1.72343i −0.675859 0.737031i \(-0.736227\pi\)
0.164353 0.986402i \(-0.447446\pi\)
\(180\) −251.106 243.183i −0.103980 0.100699i
\(181\) −2261.45 593.023i −0.928688 0.243531i −0.241827 0.970319i \(-0.577747\pi\)
−0.686861 + 0.726789i \(0.741012\pi\)
\(182\) −29.4213 + 917.465i −0.0119827 + 0.373665i
\(183\) −1875.97 −0.757791
\(184\) −36.8671 + 1149.65i −0.0147711 + 0.460616i
\(185\) 277.806 305.895i 0.110404 0.121567i
\(186\) 864.877 2914.06i 0.340945 1.14876i
\(187\) 420.199 236.651i 0.164321 0.0925437i
\(188\) 433.218 + 1177.19i 0.168062 + 0.456678i
\(189\) −1435.93 279.648i −0.552638 0.107626i
\(190\) 623.649 40.0396i 0.238128 0.0152883i
\(191\) −2377.86 + 2981.74i −0.900815 + 1.12959i 0.0902118 + 0.995923i \(0.471246\pi\)
−0.991027 + 0.133664i \(0.957326\pi\)
\(192\) −2146.71 + 1397.35i −0.806903 + 0.525236i
\(193\) 3675.73 + 473.933i 1.37091 + 0.176759i 0.777874 0.628420i \(-0.216298\pi\)
0.593032 + 0.805179i \(0.297931\pi\)
\(194\) 311.647 446.769i 0.115335 0.165341i
\(195\) −449.376 28.8509i −0.165028 0.0105952i
\(196\) −2338.12 −0.852083
\(197\) −2628.54 857.992i −0.950638 0.310302i
\(198\) 748.235 0.268559
\(199\) −1341.22 86.1089i −0.477770 0.0306739i −0.176678 0.984269i \(-0.556535\pi\)
−0.301093 + 0.953595i \(0.597351\pi\)
\(200\) −1463.57 + 2098.13i −0.517449 + 0.741803i
\(201\) −1935.70 249.581i −0.679272 0.0875824i
\(202\) 2139.78 1392.84i 0.745320 0.485149i
\(203\) −1187.27 + 1488.79i −0.410493 + 0.514742i
\(204\) 731.764 46.9808i 0.251146 0.0161241i
\(205\) −600.160 116.881i −0.204473 0.0398211i
\(206\) −1238.15 3364.46i −0.418768 1.13793i
\(207\) 847.035 477.041i 0.284411 0.160177i
\(208\) −31.6438 + 106.618i −0.0105486 + 0.0355416i
\(209\) 1198.04 1319.17i 0.396507 0.436599i
\(210\) −46.0959 + 1437.44i −0.0151472 + 0.472347i
\(211\) 3650.58 1.19107 0.595537 0.803328i \(-0.296939\pi\)
0.595537 + 0.803328i \(0.296939\pi\)
\(212\) 24.5339 765.057i 0.00794809 0.247851i
\(213\) −4789.09 1255.85i −1.54058 0.403987i
\(214\) 912.915 + 884.109i 0.291615 + 0.282413i
\(215\) −340.627 1147.68i −0.108049 0.364053i
\(216\) −1049.60 505.459i −0.330629 0.159223i
\(217\) 6327.40 3047.11i 1.97941 0.953233i
\(218\) −776.019 + 1280.12i −0.241095 + 0.397711i
\(219\) −1415.53 + 3846.45i −0.436770 + 1.18684i
\(220\) −58.2203 360.113i −0.0178419 0.110358i
\(221\) 286.034 277.009i 0.0870622 0.0843151i
\(222\) −544.382 + 1229.77i −0.164579 + 0.371787i
\(223\) −97.9831 + 1015.70i −0.0294235 + 0.305005i 0.968916 + 0.247392i \(0.0795735\pi\)
−0.998339 + 0.0576132i \(0.981651\pi\)
\(224\) −4923.08 1290.98i −1.46847 0.385078i
\(225\) 2157.60 + 138.522i 0.639288 + 0.0410437i
\(226\) 2643.46 2910.74i 0.778054 0.856724i
\(227\) 89.4859 927.615i 0.0261647 0.271224i −0.973015 0.230740i \(-0.925885\pi\)
0.999180 0.0404846i \(-0.0128902\pi\)
\(228\) 2511.51 1016.80i 0.729511 0.295346i
\(229\) 4927.22 + 1635.95i 1.42183 + 0.472081i 0.919670 0.392692i \(-0.128456\pi\)
0.502163 + 0.864773i \(0.332538\pi\)
\(230\) 221.820 + 278.153i 0.0635929 + 0.0797430i
\(231\) 2757.08 + 3035.86i 0.785294 + 0.864696i
\(232\) −1215.27 + 906.979i −0.343907 + 0.256664i
\(233\) −586.352 2568.98i −0.164863 0.722314i −0.987998 0.154467i \(-0.950634\pi\)
0.823134 0.567847i \(-0.192223\pi\)
\(234\) 597.588 156.706i 0.166947 0.0437786i
\(235\) 929.873 + 523.695i 0.258120 + 0.145371i
\(236\) −76.7705 57.2953i −0.0211751 0.0158034i
\(237\) 4753.75 1924.58i 1.30291 0.527489i
\(238\) −913.541 884.715i −0.248807 0.240956i
\(239\) −3.90539 + 5.59868i −0.00105698 + 0.00151526i −0.820700 0.571359i \(-0.806416\pi\)
0.819643 + 0.572874i \(0.194172\pi\)
\(240\) −49.5780 + 167.045i −0.0133344 + 0.0449279i
\(241\) 2097.61 4738.53i 0.560659 1.26654i −0.379307 0.925271i \(-0.623838\pi\)
0.939966 0.341268i \(-0.110856\pi\)
\(242\) −1349.84 1007.41i −0.358557 0.267598i
\(243\) 443.047 + 4592.65i 0.116961 + 1.21242i
\(244\) −580.387 1112.49i −0.152276 0.291885i
\(245\) −1514.69 + 1289.48i −0.394980 + 0.336251i
\(246\) 1973.66 254.476i 0.511529 0.0659544i
\(247\) 680.549 1304.49i 0.175313 0.336042i
\(248\) 5489.42 1069.07i 1.40556 0.273733i
\(249\) 220.203 1362.03i 0.0560433 0.346648i
\(250\) 162.406 + 1683.51i 0.0410859 + 0.425899i
\(251\) −5246.80 1742.06i −1.31942 0.438079i −0.433183 0.901306i \(-0.642610\pi\)
−0.886240 + 0.463227i \(0.846691\pi\)
\(252\) 747.884 + 2519.87i 0.186954 + 0.629908i
\(253\) 1006.15 + 129.729i 0.250025 + 0.0322372i
\(254\) −778.568 + 438.481i −0.192330 + 0.108318i
\(255\) 448.145 434.005i 0.110055 0.106582i
\(256\) −3740.39 2106.55i −0.913180 0.514294i
\(257\) 160.822 994.741i 0.0390342 0.241441i −0.960256 0.279122i \(-0.909956\pi\)
0.999290 + 0.0376817i \(0.0119973\pi\)
\(258\) 2229.16 + 3195.67i 0.537913 + 0.771139i
\(259\) −2948.89 + 979.098i −0.707471 + 0.234896i
\(260\) −121.918 275.416i −0.0290810 0.0656945i
\(261\) 1187.93 + 480.941i 0.281729 + 0.114059i
\(262\) −1756.03 2896.75i −0.414075 0.683061i
\(263\) −1056.17 1514.09i −0.247627 0.354992i 0.676922 0.736055i \(-0.263313\pi\)
−0.924549 + 0.381062i \(0.875558\pi\)
\(264\) 1510.53 + 2895.40i 0.352147 + 0.674999i
\(265\) −406.037 509.154i −0.0941232 0.118027i
\(266\) −4233.81 2038.90i −0.975909 0.469973i
\(267\) 320.257 208.464i 0.0734061 0.0477821i
\(268\) −450.858 1225.13i −0.102763 0.279241i
\(269\) −250.349 1548.50i −0.0567436 0.350980i −0.999830 0.0184319i \(-0.994133\pi\)
0.943086 0.332548i \(-0.107908\pi\)
\(270\) −348.541 + 91.3981i −0.0785611 + 0.0206012i
\(271\) 711.369 138.539i 0.159456 0.0310541i −0.110799 0.993843i \(-0.535341\pi\)
0.270255 + 0.962789i \(0.412892\pi\)
\(272\) −79.8735 131.760i −0.0178053 0.0293717i
\(273\) 2837.80 + 1847.20i 0.629125 + 0.409515i
\(274\) −192.909 + 845.189i −0.0425330 + 0.186349i
\(275\) 1718.00 + 1462.55i 0.376724 + 0.320710i
\(276\) 1292.77 + 841.499i 0.281940 + 0.183523i
\(277\) 6306.39 2093.86i 1.36792 0.454181i 0.465504 0.885046i \(-0.345873\pi\)
0.902417 + 0.430865i \(0.141791\pi\)
\(278\) 1987.62 1692.08i 0.428811 0.365052i
\(279\) −3177.67 3498.97i −0.681872 0.750817i
\(280\) −2383.99 + 1148.07i −0.508823 + 0.245036i
\(281\) 5081.41 6371.88i 1.07876 1.35272i 0.147211 0.989105i \(-0.452970\pi\)
0.931549 0.363617i \(-0.118458\pi\)
\(282\) −3409.31 663.962i −0.719934 0.140207i
\(283\) 921.958 2505.26i 0.193656 0.526227i −0.804002 0.594627i \(-0.797300\pi\)
0.997658 + 0.0684003i \(0.0217895\pi\)
\(284\) −736.901 3228.57i −0.153968 0.674580i
\(285\) 1066.25 2043.81i 0.221612 0.424789i
\(286\) 597.591 + 241.938i 0.123553 + 0.0500212i
\(287\) 3500.88 + 2980.35i 0.720037 + 0.612976i
\(288\) 109.789 + 3423.62i 0.0224631 + 0.700481i
\(289\) −139.788 4359.11i −0.0284527 0.887260i
\(290\) −104.368 + 457.268i −0.0211335 + 0.0925920i
\(291\) −813.355 1837.38i −0.163848 0.370135i
\(292\) −2718.96 + 350.572i −0.544916 + 0.0702591i
\(293\) −7071.80 + 5277.82i −1.41003 + 1.05233i −0.420613 + 0.907240i \(0.638185\pi\)
−0.989418 + 0.145093i \(0.953652\pi\)
\(294\) 3356.19 5536.39i 0.665772 1.09826i
\(295\) −81.3324 + 5.22171i −0.0160521 + 0.00103058i
\(296\) −2469.27 + 158.532i −0.484876 + 0.0311301i
\(297\) −532.631 + 878.631i −0.104062 + 0.171661i
\(298\) 772.870 576.808i 0.150239 0.112126i
\(299\) 830.748 107.113i 0.160680 0.0207174i
\(300\) 1388.65 + 3136.99i 0.267246 + 0.603713i
\(301\) −2003.15 + 8776.37i −0.383587 + 1.68060i
\(302\) 13.4877 + 420.596i 0.00256996 + 0.0801409i
\(303\) −301.862 9413.16i −0.0572327 1.78473i
\(304\) −433.524 369.064i −0.0817904 0.0696292i
\(305\) −989.532 400.617i −0.185772 0.0752107i
\(306\) −395.887 + 758.840i −0.0739586 + 0.141765i
\(307\) 478.013 + 2094.31i 0.0888654 + 0.389345i 0.999727 0.0233673i \(-0.00743874\pi\)
−0.910862 + 0.412712i \(0.864582\pi\)
\(308\) −947.346 + 2574.24i −0.175260 + 0.476238i
\(309\) −12980.5 2527.95i −2.38976 0.465405i
\(310\) 1078.50 1352.40i 0.197597 0.247778i
\(311\) −1967.27 + 947.388i −0.358694 + 0.172738i −0.604547 0.796569i \(-0.706646\pi\)
0.245854 + 0.969307i \(0.420932\pi\)
\(312\) 1812.80 + 1996.10i 0.328941 + 0.362201i
\(313\) −303.341 + 258.238i −0.0547790 + 0.0466340i −0.675198 0.737636i \(-0.735942\pi\)
0.620419 + 0.784270i \(0.286962\pi\)
\(314\) −4927.50 + 1636.04i −0.885590 + 0.294036i
\(315\) 1874.21 + 1219.98i 0.335238 + 0.218216i
\(316\) 2612.03 + 2223.65i 0.464994 + 0.395855i
\(317\) −980.057 + 4293.91i −0.173645 + 0.760789i 0.810832 + 0.585278i \(0.199015\pi\)
−0.984478 + 0.175511i \(0.943842\pi\)
\(318\) 1776.35 + 1156.28i 0.313248 + 0.203902i
\(319\) 693.314 + 1143.69i 0.121687 + 0.200735i
\(320\) −1430.75 + 278.638i −0.249941 + 0.0486760i
\(321\) 4534.53 1189.09i 0.788451 0.206756i
\(322\) −426.965 2640.93i −0.0738939 0.457060i
\(323\) 703.996 + 1912.98i 0.121274 + 0.329540i
\(324\) −3343.86 + 2176.61i −0.573365 + 0.373219i
\(325\) 1678.41 + 808.280i 0.286466 + 0.137955i
\(326\) 383.291 + 480.631i 0.0651181 + 0.0816555i
\(327\) 2554.11 + 4895.76i 0.431935 + 0.827939i
\(328\) 2094.68 + 3002.89i 0.352621 + 0.505508i
\(329\) −4160.00 6862.36i −0.697108 1.14995i
\(330\) 936.278 + 379.057i 0.156183 + 0.0632315i
\(331\) −807.267 1823.63i −0.134053 0.302827i 0.834763 0.550609i \(-0.185605\pi\)
−0.968816 + 0.247782i \(0.920298\pi\)
\(332\) 875.841 290.799i 0.144783 0.0480713i
\(333\) 1196.41 + 1715.15i 0.196886 + 0.282251i
\(334\) 993.096 6142.65i 0.162694 1.00632i
\(335\) −967.738 545.020i −0.157830 0.0888885i
\(336\) 941.215 911.516i 0.152820 0.147998i
\(337\) 6318.18 3558.33i 1.02129 0.575177i 0.113029 0.993592i \(-0.463945\pi\)
0.908256 + 0.418415i \(0.137414\pi\)
\(338\) −3507.72 452.271i −0.564482 0.0727819i
\(339\) −4126.79 13904.5i −0.661169 2.22770i
\(340\) 396.021 + 131.488i 0.0631685 + 0.0209734i
\(341\) −473.632 4909.69i −0.0752159 0.779692i
\(342\) −504.760 + 3122.12i −0.0798079 + 0.493640i
\(343\) 4839.64 942.520i 0.761854 0.148371i
\(344\) −3315.78 + 6355.72i −0.519694 + 0.996156i
\(345\) 1301.58 167.820i 0.203115 0.0261887i
\(346\) −1885.90 + 1605.49i −0.293025 + 0.249456i
\(347\) 991.462 + 1900.45i 0.153385 + 0.294010i 0.951019 0.309131i \(-0.100038\pi\)
−0.797635 + 0.603141i \(0.793916\pi\)
\(348\) 195.269 + 2024.17i 0.0300791 + 0.311801i
\(349\) −10375.9 7743.73i −1.59143 1.18771i −0.866916 0.498453i \(-0.833901\pi\)
−0.724513 0.689261i \(-0.757935\pi\)
\(350\) 2408.36 5440.53i 0.367806 0.830881i
\(351\) −241.378 + 813.282i −0.0367059 + 0.123675i
\(352\) −2045.09 + 2931.79i −0.309670 + 0.443935i
\(353\) 8482.62 + 8214.96i 1.27899 + 1.23864i 0.956387 + 0.292102i \(0.0943548\pi\)
0.322606 + 0.946533i \(0.395441\pi\)
\(354\) 245.867 99.5405i 0.0369144 0.0149450i
\(355\) −2257.95 1685.15i −0.337576 0.251940i
\(356\) 222.705 + 125.425i 0.0331555 + 0.0186728i
\(357\) −4537.64 + 1189.91i −0.672710 + 0.176405i
\(358\) 1774.36 + 7773.99i 0.261950 + 1.14768i
\(359\) 3669.38 2738.53i 0.539449 0.402601i −0.293493 0.955961i \(-0.594818\pi\)
0.832942 + 0.553360i \(0.186655\pi\)
\(360\) 1197.26 + 1318.31i 0.175281 + 0.193004i
\(361\) 419.728 + 526.323i 0.0611938 + 0.0767346i
\(362\) 4109.47 + 1364.44i 0.596655 + 0.198103i
\(363\) −5758.96 + 2331.54i −0.832691 + 0.337119i
\(364\) −217.476 + 2254.36i −0.0313154 + 0.324617i
\(365\) −1568.07 + 1726.62i −0.224868 + 0.247604i
\(366\) 3467.36 + 222.612i 0.495196 + 0.0317926i
\(367\) −8209.55 2152.80i −1.16767 0.306199i −0.381595 0.924330i \(-0.624625\pi\)
−0.786076 + 0.618130i \(0.787890\pi\)
\(368\) 31.1234 322.626i 0.00440874 0.0457012i
\(369\) 1252.54 2829.51i 0.176706 0.399183i
\(370\) −549.768 + 532.421i −0.0772462 + 0.0748088i
\(371\) 781.550 + 4834.16i 0.109369 + 0.676489i
\(372\) 2590.19 7038.37i 0.361008 0.980974i
\(373\) −2850.70 + 4702.52i −0.395720 + 0.652781i −0.988264 0.152757i \(-0.951185\pi\)
0.592544 + 0.805538i \(0.298124\pi\)
\(374\) −804.735 + 387.540i −0.111262 + 0.0535808i
\(375\) 5621.04 + 2706.95i 0.774051 + 0.372763i
\(376\) −1818.25 6126.30i −0.249386 0.840266i
\(377\) 793.253 + 768.223i 0.108368 + 0.104948i
\(378\) 2620.85 + 687.267i 0.356619 + 0.0935164i
\(379\) −317.138 + 9889.54i −0.0429823 + 1.34035i 0.720021 + 0.693952i \(0.244132\pi\)
−0.763003 + 0.646395i \(0.776276\pi\)
\(380\) 1541.90 0.208152
\(381\) −105.645 + 3294.39i −0.0142056 + 0.442984i
\(382\) 4748.82 5228.98i 0.636049 0.700361i
\(383\) 3146.04 10600.0i 0.419726 1.41420i −0.437483 0.899227i \(-0.644130\pi\)
0.857209 0.514969i \(-0.172196\pi\)
\(384\) −4157.17 + 2341.27i −0.552460 + 0.311140i
\(385\) 805.986 + 2190.13i 0.106693 + 0.289920i
\(386\) −6737.61 1312.15i −0.888434 0.173023i
\(387\) 6046.16 388.176i 0.794170 0.0509874i
\(388\) 837.974 1050.79i 0.109643 0.137489i
\(389\) 11258.7 7328.59i 1.46745 0.955204i 0.470087 0.882620i \(-0.344222\pi\)
0.997362 0.0725837i \(-0.0231244\pi\)
\(390\) 827.158 + 106.650i 0.107397 + 0.0138473i
\(391\) −663.917 + 951.776i −0.0858715 + 0.123103i
\(392\) 11887.1 + 763.176i 1.53160 + 0.0983322i
\(393\) −12495.4 −1.60385
\(394\) 4756.52 + 1897.74i 0.608198 + 0.242657i
\(395\) 2918.49 0.371760
\(396\) 1842.33 + 118.282i 0.233789 + 0.0150098i
\(397\) −7753.80 + 11115.7i −0.980232 + 1.40524i −0.0670192 + 0.997752i \(0.521349\pi\)
−0.913212 + 0.407484i \(0.866406\pi\)
\(398\) 2468.75 + 318.310i 0.310923 + 0.0400891i
\(399\) −14527.5 + 9456.35i −1.82277 + 1.18649i
\(400\) 449.448 563.590i 0.0561810 0.0704488i
\(401\) 6800.15 436.584i 0.846842 0.0543690i 0.365404 0.930849i \(-0.380931\pi\)
0.481438 + 0.876480i \(0.340115\pi\)
\(402\) 3548.14 + 690.999i 0.440211 + 0.0857311i
\(403\) −1406.53 3822.00i −0.173857 0.472425i
\(404\) 5488.83 3091.25i 0.675939 0.380682i
\(405\) −965.833 + 3254.21i −0.118500 + 0.399267i
\(406\) 2371.10 2610.84i 0.289842 0.319148i
\(407\) −69.9466 + 2181.19i −0.00851873 + 0.265645i
\(408\) −3735.65 −0.453290
\(409\) 136.283 4249.80i 0.0164762 0.513788i −0.957670 0.287869i \(-0.907053\pi\)
0.974146 0.225919i \(-0.0725385\pi\)
\(410\) 1095.41 + 287.249i 0.131947 + 0.0346005i
\(411\) 2297.18 + 2224.70i 0.275698 + 0.266998i
\(412\) −2516.77 8479.83i −0.300952 1.01401i
\(413\) 552.147 + 265.900i 0.0657854 + 0.0316806i
\(414\) −1622.18 + 781.202i −0.192575 + 0.0927391i
\(415\) 407.016 671.416i 0.0481437 0.0794181i
\(416\) −1019.32 + 2769.83i −0.120136 + 0.326447i
\(417\) −1536.76 9505.39i −0.180468 1.11626i
\(418\) −2370.87 + 2296.06i −0.277424 + 0.268670i
\(419\) −2276.20 + 5141.97i −0.265393 + 0.599527i −0.996579 0.0826515i \(-0.973661\pi\)
0.731186 + 0.682178i \(0.238967\pi\)
\(420\) −340.731 + 3532.03i −0.0395856 + 0.410346i
\(421\) −9695.52 2542.46i −1.12240 0.294328i −0.354601 0.935018i \(-0.615383\pi\)
−0.767800 + 0.640690i \(0.778648\pi\)
\(422\) −6747.38 433.196i −0.778334 0.0499707i
\(423\) −3631.02 + 3998.16i −0.417368 + 0.459568i
\(424\) −374.451 + 3881.58i −0.0428890 + 0.444589i
\(425\) −2392.27 + 968.521i −0.273040 + 0.110542i
\(426\) 8702.66 + 2889.48i 0.989777 + 0.328629i
\(427\) 5005.03 + 6276.11i 0.567237 + 0.711293i
\(428\) 2108.05 + 2321.20i 0.238076 + 0.262148i
\(429\) 1905.89 1422.41i 0.214493 0.160080i
\(430\) 493.390 + 2161.68i 0.0553335 + 0.242432i
\(431\) 10602.0 2780.17i 1.18487 0.310710i 0.391923 0.919998i \(-0.371810\pi\)
0.792949 + 0.609288i \(0.208545\pi\)
\(432\) 286.030 + 161.089i 0.0318556 + 0.0179407i
\(433\) −2463.35 1838.44i −0.273397 0.204041i 0.452647 0.891690i \(-0.350480\pi\)
−0.726044 + 0.687648i \(0.758643\pi\)
\(434\) −12056.5 + 4881.14i −1.33348 + 0.539867i
\(435\) 1242.83 + 1203.62i 0.136987 + 0.132664i
\(436\) −2113.10 + 3029.29i −0.232109 + 0.332745i
\(437\) −1220.07 + 4110.81i −0.133555 + 0.449992i
\(438\) 3072.76 6941.41i 0.335210 0.757246i
\(439\) 334.796 + 249.865i 0.0363985 + 0.0271649i 0.616156 0.787624i \(-0.288689\pi\)
−0.579757 + 0.814789i \(0.696853\pi\)
\(440\) 178.451 + 1849.84i 0.0193349 + 0.200426i
\(441\) −4656.41 8925.48i −0.502798 0.963770i
\(442\) −561.548 + 478.053i −0.0604302 + 0.0514449i
\(443\) 4271.86 550.795i 0.458154 0.0590724i 0.104657 0.994508i \(-0.466625\pi\)
0.353496 + 0.935436i \(0.384993\pi\)
\(444\) −1534.80 + 2941.92i −0.164050 + 0.314454i
\(445\) 213.446 41.5687i 0.0227378 0.00442819i
\(446\) 301.630 1865.69i 0.0320237 0.198078i
\(447\) −341.589 3540.93i −0.0361445 0.374676i
\(448\) 10402.2 + 3453.78i 1.09701 + 0.364231i
\(449\) 1383.30 + 4660.80i 0.145394 + 0.489881i 0.999546 0.0301433i \(-0.00959636\pi\)
−0.854151 + 0.520024i \(0.825923\pi\)
\(450\) −3971.45 512.062i −0.416035 0.0536418i
\(451\) 2813.63 1584.60i 0.293766 0.165446i
\(452\) 6968.95 6749.05i 0.725203 0.702320i
\(453\) 1352.52 + 761.725i 0.140280 + 0.0790044i
\(454\) −275.472 + 1703.89i −0.0284770 + 0.176140i
\(455\) 1102.40 + 1580.37i 0.113585 + 0.162833i
\(456\) −13100.5 + 4349.66i −1.34537 + 0.446692i
\(457\) 20.9018 + 47.2175i 0.00213948 + 0.00483313i 0.915479 0.402365i \(-0.131812\pi\)
−0.913340 + 0.407198i \(0.866506\pi\)
\(458\) −8912.84 3608.41i −0.909323 0.368144i
\(459\) −609.272 1005.06i −0.0619573 0.102205i
\(460\) 502.202 + 719.944i 0.0509028 + 0.0729730i
\(461\) 3522.20 + 6751.39i 0.355846 + 0.682090i 0.996303 0.0859033i \(-0.0273776\pi\)
−0.640457 + 0.767994i \(0.721255\pi\)
\(462\) −4735.67 5938.34i −0.476890 0.598002i
\(463\) 4821.36 + 2321.85i 0.483947 + 0.233057i 0.659917 0.751339i \(-0.270592\pi\)
−0.175969 + 0.984396i \(0.556306\pi\)
\(464\) 358.119 233.110i 0.0358303 0.0233229i
\(465\) −2203.69 5988.13i −0.219771 0.597189i
\(466\) 778.907 + 4817.82i 0.0774296 + 0.478929i
\(467\) −4242.37 + 1112.48i −0.420371 + 0.110234i −0.457779 0.889066i \(-0.651355\pi\)
0.0374084 + 0.999300i \(0.488090\pi\)
\(468\) 1496.17 291.380i 0.147779 0.0287800i
\(469\) 4329.40 + 7141.80i 0.426254 + 0.703151i
\(470\) −1656.54 1078.29i −0.162576 0.105825i
\(471\) −4261.72 + 18671.8i −0.416921 + 1.82665i
\(472\) 371.603 + 316.350i 0.0362382 + 0.0308500i
\(473\) 5298.86 + 3449.18i 0.515099 + 0.335293i
\(474\) −9014.73 + 2993.10i −0.873545 + 0.290037i
\(475\) −7261.68 + 6181.96i −0.701450 + 0.597153i
\(476\) −2109.50 2322.79i −0.203127 0.223666i
\(477\) 2969.37 1429.97i 0.285028 0.137262i
\(478\) 7.88271 9.88460i 0.000754281 0.000945839i
\(479\) 1594.97 + 310.621i 0.152142 + 0.0296297i 0.266655 0.963792i \(-0.414082\pi\)
−0.114512 + 0.993422i \(0.536531\pi\)
\(480\) −1597.03 + 4339.64i −0.151862 + 0.412659i
\(481\) 400.952 + 1756.69i 0.0380080 + 0.166524i
\(482\) −4439.31 + 8509.32i −0.419512 + 0.804126i
\(483\) −9147.01 3703.21i −0.861705 0.348866i
\(484\) −3164.36 2693.86i −0.297179 0.252992i
\(485\) −36.6496 1142.87i −0.00343129 0.107000i
\(486\) −273.899 8541.17i −0.0255644 0.797192i
\(487\) −2250.35 + 9859.44i −0.209391 + 0.917400i 0.755583 + 0.655053i \(0.227354\pi\)
−0.964974 + 0.262347i \(0.915503\pi\)
\(488\) 2587.59 + 5845.40i 0.240030 + 0.542232i
\(489\) 2249.04 289.982i 0.207986 0.0268168i
\(490\) 2952.62 2203.60i 0.272216 0.203160i
\(491\) 6409.28 10572.8i 0.589097 0.971777i −0.409143 0.912470i \(-0.634172\pi\)
0.998240 0.0593070i \(-0.0188891\pi\)
\(492\) 4899.85 314.581i 0.448988 0.0288260i
\(493\) −1526.73 + 98.0195i −0.139474 + 0.00895451i
\(494\) −1412.66 + 2330.32i −0.128661 + 0.212239i
\(495\) 1258.74 939.423i 0.114295 0.0853009i
\(496\) −1562.98 + 201.523i −0.141491 + 0.0182433i
\(497\) 8575.67 + 19372.6i 0.773987 + 1.74845i
\(498\) −568.626 + 2491.31i −0.0511661 + 0.224173i
\(499\) 276.787 + 8631.24i 0.0248310 + 0.774323i 0.933870 + 0.357612i \(0.116409\pi\)
−0.909039 + 0.416711i \(0.863183\pi\)
\(500\) 133.752 + 4170.88i 0.0119631 + 0.373055i
\(501\) −17477.4 14878.7i −1.55855 1.32681i
\(502\) 9490.94 + 3842.46i 0.843827 + 0.341628i
\(503\) 7045.44 13504.8i 0.624534 1.19712i −0.341787 0.939777i \(-0.611032\pi\)
0.966321 0.257338i \(-0.0828454\pi\)
\(504\) −2979.77 13055.2i −0.263353 1.15382i
\(505\) 1850.97 5029.69i 0.163103 0.443205i
\(506\) −1844.28 359.173i −0.162032 0.0315557i
\(507\) −8134.18 + 10199.9i −0.712528 + 0.893482i
\(508\) −1986.33 + 956.568i −0.173483 + 0.0835449i
\(509\) −9164.87 10091.5i −0.798086 0.878782i 0.196731 0.980457i \(-0.436967\pi\)
−0.994818 + 0.101676i \(0.967580\pi\)
\(510\) −879.808 + 748.991i −0.0763893 + 0.0650312i
\(511\) 16645.0 5526.51i 1.44096 0.478431i
\(512\) 1981.12 + 1289.57i 0.171004 + 0.111311i
\(513\) −3306.90 2815.21i −0.284607 0.242289i
\(514\) −415.288 + 1819.50i −0.0356373 + 0.156137i
\(515\) −6307.07 4105.45i −0.539656 0.351277i
\(516\) 4983.54 + 8220.88i 0.425171 + 0.701364i
\(517\) −5532.25 + 1077.41i −0.470616 + 0.0916524i
\(518\) 5566.61 1459.74i 0.472168 0.123817i
\(519\) 1458.11 + 9018.95i 0.123322 + 0.762790i
\(520\) 529.941 + 1440.02i 0.0446913 + 0.121441i
\(521\) −9877.36 + 6429.45i −0.830585 + 0.540651i −0.889141 0.457633i \(-0.848697\pi\)
0.0585561 + 0.998284i \(0.481350\pi\)
\(522\) −2138.58 1029.89i −0.179317 0.0863544i
\(523\) −4218.78 5290.18i −0.352723 0.442301i 0.573540 0.819177i \(-0.305570\pi\)
−0.926264 + 0.376876i \(0.876998\pi\)
\(524\) −3865.83 7410.07i −0.322289 0.617768i
\(525\) −12556.3 18000.4i −1.04381 1.49639i
\(526\) 1772.44 + 2923.83i 0.146924 + 0.242367i
\(527\) 5229.88 + 2117.34i 0.432290 + 0.175015i
\(528\) −372.500 841.484i −0.0307026 0.0693578i
\(529\) 9230.36 3064.69i 0.758639 0.251886i
\(530\) 690.059 + 989.252i 0.0565552 + 0.0810761i
\(531\) 65.8276 407.167i 0.00537980 0.0332760i
\(532\) −10102.3 5689.53i −0.823293 0.463670i
\(533\) 1915.27 1854.84i 0.155646 0.150735i
\(534\) −616.669 + 347.301i −0.0499735 + 0.0281446i
\(535\) 2645.79 + 341.137i 0.213809 + 0.0275676i
\(536\) 1892.29 + 6375.77i 0.152490 + 0.513790i
\(537\) 27915.3 + 9268.51i 2.24326 + 0.744815i
\(538\) 278.968 + 2891.79i 0.0223553 + 0.231736i
\(539\) 1676.71 10371.0i 0.133990 0.828778i
\(540\) −872.637 + 169.946i −0.0695413 + 0.0135432i
\(541\) 7474.04 14326.3i 0.593963 1.13852i −0.382727 0.923862i \(-0.625015\pi\)
0.976690 0.214655i \(-0.0688627\pi\)
\(542\) −1331.26 + 171.647i −0.105503 + 0.0136031i
\(543\) 12162.2 10353.8i 0.961197 0.818279i
\(544\) −1891.30 3625.27i −0.149060 0.285721i
\(545\) 301.739 + 3127.84i 0.0237157 + 0.245838i
\(546\) −5025.90 3750.93i −0.393935 0.294001i
\(547\) −1548.44 + 3497.96i −0.121036 + 0.273422i −0.964653 0.263523i \(-0.915116\pi\)
0.843617 + 0.536945i \(0.180422\pi\)
\(548\) −608.595 + 2050.56i −0.0474414 + 0.159846i
\(549\) 3090.95 4431.11i 0.240289 0.344472i
\(550\) −3001.82 2907.10i −0.232724 0.225381i
\(551\) −5239.94 + 2121.42i −0.405134 + 0.164021i
\(552\) −6297.82 4700.19i −0.485603 0.362415i
\(553\) −19121.6 10769.1i −1.47040 0.828115i
\(554\) −11904.6 + 3121.74i −0.912954 + 0.239405i
\(555\) 628.194 + 2752.30i 0.0480457 + 0.210502i
\(556\) 5161.47 3852.10i 0.393696 0.293823i
\(557\) −969.247 1067.25i −0.0737312 0.0811863i 0.702299 0.711883i \(-0.252157\pi\)
−0.776030 + 0.630696i \(0.782769\pi\)
\(558\) 5458.09 + 6844.23i 0.414085 + 0.519246i
\(559\) 4954.38 + 1644.97i 0.374862 + 0.124463i
\(560\) 691.125 279.806i 0.0521524 0.0211142i
\(561\) −316.372 + 3279.52i −0.0238097 + 0.246812i
\(562\) −10148.1 + 11174.2i −0.761692 + 0.838708i
\(563\) 131.973 + 8.47294i 0.00987921 + 0.000634266i 0.0690090 0.997616i \(-0.478016\pi\)
−0.0591298 + 0.998250i \(0.518833\pi\)
\(564\) −8289.55 2173.78i −0.618889 0.162292i
\(565\) 792.549 8215.60i 0.0590138 0.611739i
\(566\) −2001.34 + 4521.07i −0.148627 + 0.335750i
\(567\) 18335.9 17757.3i 1.35809 1.31523i
\(568\) 2692.61 + 16654.7i 0.198907 + 1.23031i
\(569\) 7015.34 19063.0i 0.516869 1.40450i −0.364115 0.931354i \(-0.618628\pi\)
0.880984 0.473146i \(-0.156882\pi\)
\(570\) −2213.28 + 3651.04i −0.162639 + 0.268290i
\(571\) 23560.0 11345.9i 1.72672 0.831542i 0.739303 0.673373i \(-0.235155\pi\)
0.987412 0.158170i \(-0.0505592\pi\)
\(572\) 1433.16 + 690.175i 0.104761 + 0.0504505i
\(573\) −7413.53 24978.7i −0.540497 1.82111i
\(574\) −6117.02 5924.00i −0.444807 0.430772i
\(575\) −5251.64 1377.14i −0.380884 0.0998796i
\(576\) 236.436 7372.96i 0.0171033 0.533345i
\(577\) 12295.2 0.887096 0.443548 0.896251i \(-0.353720\pi\)
0.443548 + 0.896251i \(0.353720\pi\)
\(578\) −258.902 + 8073.53i −0.0186314 + 0.580994i
\(579\) −17022.8 + 18744.0i −1.22184 + 1.34538i
\(580\) −329.265 + 1109.40i −0.0235724 + 0.0794231i
\(581\) −5144.20 + 2897.16i −0.367328 + 0.206875i
\(582\) 1285.29 + 3492.55i 0.0915413 + 0.248747i
\(583\) 3375.91 + 657.459i 0.239822 + 0.0467053i
\(584\) 13937.8 894.834i 0.987583 0.0634050i
\(585\) 808.564 1013.91i 0.0571453 0.0716579i
\(586\) 13697.1 8915.82i 0.965566 0.628514i
\(587\) 18030.8 + 2324.82i 1.26782 + 0.163468i 0.732259 0.681026i \(-0.238466\pi\)
0.535565 + 0.844494i \(0.320099\pi\)
\(588\) 9138.93 13101.3i 0.640958 0.918861i
\(589\) 20805.9 + 1335.78i 1.45551 + 0.0934466i
\(590\) 150.946 0.0105328
\(591\) 15081.8 11375.1i 1.04971 0.791723i
\(592\) 697.242 0.0484062
\(593\) 7927.29 + 508.949i 0.548963 + 0.0352446i 0.336080 0.941833i \(-0.390899\pi\)
0.212882 + 0.977078i \(0.431715\pi\)
\(594\) 1088.72 1560.77i 0.0752036 0.107810i
\(595\) −2647.61 341.371i −0.182423 0.0235208i
\(596\) 1994.17 1298.06i 0.137054 0.0892124i
\(597\) 5724.87 7178.76i 0.392468 0.492139i
\(598\) −1548.18 + 99.3966i −0.105869 + 0.00679704i
\(599\) 16338.8 + 3181.98i 1.11450 + 0.217049i 0.714616 0.699517i \(-0.246601\pi\)
0.399884 + 0.916566i \(0.369050\pi\)
\(600\) −6036.03 16401.8i −0.410700 1.11600i
\(601\) 11245.7 6333.48i 0.763266 0.429863i −0.0595110 0.998228i \(-0.518954\pi\)
0.822777 + 0.568364i \(0.192424\pi\)
\(602\) 4743.87 15983.7i 0.321172 1.08213i
\(603\) 3778.88 4160.97i 0.255204 0.281008i
\(604\) −33.2782 + 1037.74i −0.00224184 + 0.0699088i
\(605\) −3535.62 −0.237593
\(606\) −559.080 + 17434.2i −0.0374770 + 1.16867i
\(607\) −26547.4 6961.55i −1.77517 0.465503i −0.786750 0.617271i \(-0.788238\pi\)
−0.988416 + 0.151768i \(0.951503\pi\)
\(608\) −10853.7 10511.2i −0.723974 0.701130i
\(609\) −3701.60 12471.9i −0.246299 0.829865i
\(610\) 1781.41 + 857.883i 0.118241 + 0.0569421i
\(611\) −4192.76 + 2019.13i −0.277612 + 0.133691i
\(612\) −1094.72 + 1805.86i −0.0723065 + 0.119277i
\(613\) 1006.02 2733.68i 0.0662851 0.180118i −0.900995 0.433830i \(-0.857162\pi\)
0.967280 + 0.253712i \(0.0816516\pi\)
\(614\) −634.991 3927.64i −0.0417364 0.258154i
\(615\) 3000.76 2906.07i 0.196751 0.190543i
\(616\) 5656.60 12778.4i 0.369985 0.835803i
\(617\) −1280.97 + 13278.6i −0.0835818 + 0.866413i 0.854374 + 0.519658i \(0.173941\pi\)
−0.937956 + 0.346754i \(0.887284\pi\)
\(618\) 23691.9 + 6212.74i 1.54212 + 0.404390i
\(619\) −16272.9 1044.75i −1.05664 0.0678386i −0.473966 0.880543i \(-0.657178\pi\)
−0.582676 + 0.812705i \(0.697994\pi\)
\(620\) 2869.32 3159.44i 0.185862 0.204655i
\(621\) 237.408 2460.98i 0.0153411 0.159027i
\(622\) 3748.53 1517.61i 0.241644 0.0978307i
\(623\) −1551.86 515.252i −0.0997976 0.0331351i
\(624\) −473.738 594.048i −0.0303921 0.0381105i
\(625\) −6847.56 7539.92i −0.438244 0.482555i
\(626\) 591.308 441.305i 0.0377531 0.0281758i
\(627\) 2709.08 + 11869.3i 0.172552 + 0.756002i
\(628\) −12391.3 + 3249.38i −0.787367 + 0.206472i
\(629\) −2175.10 1224.99i −0.137881 0.0776529i
\(630\) −3319.34 2477.29i −0.209914 0.156663i
\(631\) −19501.6 + 7895.34i −1.23035 + 0.498112i −0.895880 0.444296i \(-0.853454\pi\)
−0.334465 + 0.942408i \(0.608556\pi\)
\(632\) −12553.9 12157.7i −0.790136 0.765204i
\(633\) −14268.9 + 20455.6i −0.895955 + 1.28442i
\(634\) 2320.98 7820.14i 0.145391 0.489870i
\(635\) −759.249 + 1715.16i −0.0474486 + 0.107187i
\(636\) 4191.01 + 3127.83i 0.261296 + 0.195010i
\(637\) −832.922 8634.11i −0.0518078 0.537042i
\(638\) −1145.74 2196.16i −0.0710974 0.136280i
\(639\) 10857.1 9242.81i 0.672146 0.572207i
\(640\) −2692.79 + 347.197i −0.166316 + 0.0214440i
\(641\) −6494.10 + 12448.0i −0.400158 + 0.767029i −0.999438 0.0335109i \(-0.989331\pi\)
0.599280 + 0.800539i \(0.295454\pi\)
\(642\) −8522.28 + 1659.71i −0.523906 + 0.102031i
\(643\) 669.537 4141.32i 0.0410637 0.253994i −0.958447 0.285270i \(-0.907917\pi\)
0.999511 + 0.0312769i \(0.00995738\pi\)
\(644\) −633.808 6570.08i −0.0387819 0.402015i
\(645\) 7762.30 + 2577.26i 0.473861 + 0.157333i
\(646\) −1074.19 3619.31i −0.0654234 0.220433i
\(647\) −2567.40 331.029i −0.156004 0.0201145i 0.0494789 0.998775i \(-0.484244\pi\)
−0.205483 + 0.978661i \(0.565877\pi\)
\(648\) 17710.8 9974.54i 1.07368 0.604687i
\(649\) 309.194 299.438i 0.0187010 0.0181109i
\(650\) −3006.29 1693.11i −0.181410 0.102168i
\(651\) −7657.59 + 47364.9i −0.461021 + 2.85158i
\(652\) 867.773 + 1244.02i 0.0521236 + 0.0747231i
\(653\) 1664.41 552.623i 0.0997450 0.0331176i −0.264800 0.964303i \(-0.585306\pi\)
0.364545 + 0.931186i \(0.381224\pi\)
\(654\) −4139.81 9351.91i −0.247522 0.559157i
\(655\) −6591.06 2668.42i −0.393181 0.159182i
\(656\) −534.829 882.256i −0.0318316 0.0525096i
\(657\) −6753.15 9681.15i −0.401013 0.574882i
\(658\) 6874.61 + 13177.3i 0.407295 + 0.780709i
\(659\) −5663.70 7102.05i −0.334789 0.419813i 0.585732 0.810505i \(-0.300807\pi\)
−0.920521 + 0.390692i \(0.872236\pi\)
\(660\) 2245.41 + 1081.33i 0.132428 + 0.0637741i
\(661\) −23784.9 + 15482.2i −1.39958 + 0.911027i −0.999984 0.00566348i \(-0.998197\pi\)
−0.399598 + 0.916690i \(0.630850\pi\)
\(662\) 1275.67 + 3466.41i 0.0748948 + 0.203513i
\(663\) 434.170 + 2685.49i 0.0254325 + 0.157309i
\(664\) −4547.73 + 1192.56i −0.265793 + 0.0696990i
\(665\) −9682.34 + 1885.63i −0.564609 + 0.109958i
\(666\) −2007.80 3312.08i −0.116818 0.192704i
\(667\) −2697.20 1755.68i −0.156576 0.101919i
\(668\) 3416.27 14967.7i 0.197873 0.866940i
\(669\) −5308.35 4519.06i −0.306775 0.261162i
\(670\) 1724.00 + 1122.20i 0.0994086 + 0.0647079i
\(671\) 5350.81 1776.59i 0.307848 0.102212i
\(672\) 26476.5 22539.8i 1.51987 1.29389i
\(673\) 8659.31 + 9534.86i 0.495976 + 0.546125i 0.936064 0.351830i \(-0.114440\pi\)
−0.440088 + 0.897955i \(0.645053\pi\)
\(674\) −12100.1 + 5827.12i −0.691513 + 0.333015i
\(675\) 3428.38 4299.05i 0.195494 0.245141i
\(676\) −8565.34 1668.10i −0.487332 0.0949079i
\(677\) −3732.69 + 10142.9i −0.211904 + 0.575812i −0.999167 0.0408054i \(-0.987008\pi\)
0.787263 + 0.616617i \(0.211497\pi\)
\(678\) 5977.57 + 26189.4i 0.338594 + 1.48348i
\(679\) −3977.00 + 7623.17i −0.224777 + 0.430855i
\(680\) −1970.47 797.755i −0.111124 0.0449890i
\(681\) 4848.00 + 4127.16i 0.272799 + 0.232237i
\(682\) 292.807 + 9130.79i 0.0164401 + 0.512663i
\(683\) 547.754 + 17081.0i 0.0306870 + 0.956934i 0.892864 + 0.450327i \(0.148693\pi\)
−0.862177 + 0.506608i \(0.830899\pi\)
\(684\) −1736.38 + 7607.60i −0.0970648 + 0.425269i
\(685\) 736.624 + 1664.05i 0.0410875 + 0.0928174i
\(686\) −9056.95 + 1167.76i −0.504076 + 0.0649934i
\(687\) −28425.7 + 21214.7i −1.57861 + 1.17815i
\(688\) 1047.17 1727.42i 0.0580277 0.0957228i
\(689\) 2833.91 181.943i 0.156696 0.0100602i
\(690\) −2425.62 + 155.730i −0.133829 + 0.00859208i
\(691\) −11377.4 + 18768.2i −0.626364 + 1.03325i 0.368263 + 0.929722i \(0.379953\pi\)
−0.994626 + 0.103530i \(0.966986\pi\)
\(692\) −4897.33 + 3654.97i −0.269030 + 0.200782i
\(693\) −11713.5 + 1510.29i −0.642078 + 0.0827868i
\(694\) −1607.00 3630.25i −0.0878977 0.198562i
\(695\) 1219.29 5342.05i 0.0665471 0.291562i
\(696\) −332.055 10354.7i −0.0180841 0.563927i
\(697\) 118.392 + 3691.91i 0.00643390 + 0.200633i
\(698\) 18258.9 + 15544.0i 0.990126 + 0.842906i
\(699\) 16686.8 + 6755.73i 0.902936 + 0.365558i
\(700\) 6789.99 13015.1i 0.366625 0.702751i
\(701\) 3916.42 + 17158.9i 0.211014 + 0.924514i 0.963879 + 0.266339i \(0.0858141\pi\)
−0.752865 + 0.658175i \(0.771329\pi\)
\(702\) 542.646 1474.55i 0.0291750 0.0792780i
\(703\) −9054.16 1763.30i −0.485752 0.0946003i
\(704\) 4799.70 6018.64i 0.256954 0.322210i
\(705\) −6569.03 + 3163.48i −0.350928 + 0.168998i
\(706\) −14703.6 16190.3i −0.783821 0.863074i
\(707\) −30686.6 + 26123.9i −1.63237 + 1.38966i
\(708\) 621.118 206.225i 0.0329704 0.0109469i
\(709\) −9015.10 5868.18i −0.477531 0.310838i 0.284162 0.958776i \(-0.408285\pi\)
−0.761693 + 0.647938i \(0.775631\pi\)
\(710\) 3973.40 + 3382.60i 0.210027 + 0.178798i
\(711\) −3286.61 + 14399.6i −0.173358 + 0.759530i
\(712\) −1091.30 710.359i −0.0574414 0.0373902i
\(713\) 6152.85 + 10149.8i 0.323178 + 0.533117i
\(714\) 8528.12 1660.85i 0.446999 0.0870530i
\(715\) 1309.07 343.279i 0.0684707 0.0179551i
\(716\) 3139.98 + 19421.9i 0.163892 + 1.01373i
\(717\) −16.1066 43.7668i −0.000838928 0.00227964i
\(718\) −7107.07 + 4626.19i −0.369406 + 0.240457i
\(719\) −25332.2 12199.4i −1.31395 0.632767i −0.360066 0.932927i \(-0.617246\pi\)
−0.953889 + 0.300160i \(0.902960\pi\)
\(720\) −312.879 392.337i −0.0161949 0.0203077i
\(721\) 26174.2 + 50171.1i 1.35198 + 2.59150i
\(722\) −713.328 1022.61i −0.0367691 0.0527113i
\(723\) 18352.9 + 30275.1i 0.944056 + 1.55732i
\(724\) 9902.79 + 4009.20i 0.508335 + 0.205802i
\(725\) −2897.24 6544.92i −0.148415 0.335272i
\(726\) 10921.0 3626.01i 0.558285 0.185363i
\(727\) −2557.79 3666.78i −0.130486 0.187061i 0.749579 0.661915i \(-0.230256\pi\)
−0.880065 + 0.474854i \(0.842501\pi\)
\(728\) 1841.49 11390.3i 0.0937504 0.579879i
\(729\) −6925.55 3900.40i −0.351854 0.198161i
\(730\) 3103.16 3005.24i 0.157333 0.152369i
\(731\) −6301.66 + 3549.03i −0.318844 + 0.179570i
\(732\) 8502.26 + 1096.24i 0.429307 + 0.0553530i
\(733\) 9302.65 + 31343.7i 0.468760 + 1.57941i 0.777897 + 0.628391i \(0.216286\pi\)
−0.309137 + 0.951017i \(0.600040\pi\)
\(734\) 14918.2 + 4953.20i 0.750194 + 0.249082i
\(735\) −1304.98 13527.5i −0.0654899 0.678871i
\(736\) 1372.82 8491.36i 0.0687537 0.425266i
\(737\) 5757.53 1121.28i 0.287763 0.0560419i
\(738\) −2650.83 + 5081.15i −0.132220 + 0.253441i
\(739\) −25277.6 + 3259.18i −1.25826 + 0.162234i −0.727984 0.685594i \(-0.759542\pi\)
−0.530271 + 0.847828i \(0.677910\pi\)
\(740\) −1437.82 + 1224.04i −0.0714263 + 0.0608061i
\(741\) 4649.48 + 8912.18i 0.230503 + 0.441831i
\(742\) −870.894 9027.73i −0.0430883 0.446655i
\(743\) −11749.5 8768.89i −0.580145 0.432974i 0.267484 0.963562i \(-0.413808\pi\)
−0.847629 + 0.530589i \(0.821971\pi\)
\(744\) −15466.0 + 34937.9i −0.762111 + 1.72162i
\(745\) 575.991 1940.71i 0.0283257 0.0954388i
\(746\) 5826.97 8353.40i 0.285979 0.409973i
\(747\) 2854.35 + 2764.28i 0.139806 + 0.135395i
\(748\) −2042.71 + 827.001i −0.0998514 + 0.0404253i
\(749\) −16076.1 11997.9i −0.784257 0.585306i
\(750\) −10068.1 5670.27i −0.490182 0.276066i
\(751\) 14165.8 3714.71i 0.688305 0.180495i 0.107095 0.994249i \(-0.465845\pi\)
0.581210 + 0.813754i \(0.302580\pi\)
\(752\) 400.703 + 1755.60i 0.0194311 + 0.0851330i
\(753\) 30269.4 22590.7i 1.46491 1.09329i
\(754\) −1375.01 1514.04i −0.0664123 0.0731273i
\(755\) 550.756 + 690.626i 0.0265484 + 0.0332907i
\(756\) 6344.50 + 2106.52i 0.305221 + 0.101340i
\(757\) 23066.9 9338.75i 1.10750 0.448379i 0.252813 0.967515i \(-0.418644\pi\)
0.854691 + 0.519136i \(0.173746\pi\)
\(758\) 1759.71 18241.2i 0.0843211 0.874077i
\(759\) −4659.64 + 5130.79i −0.222838 + 0.245370i
\(760\) −7839.09 503.286i −0.374150 0.0240212i
\(761\) 38667.5 + 10139.8i 1.84191 + 0.483007i 0.998525 0.0542952i \(-0.0172912\pi\)
0.843390 + 0.537302i \(0.180556\pi\)
\(762\) 586.192 6076.49i 0.0278681 0.288882i
\(763\) 9564.59 21606.6i 0.453816 1.02518i
\(764\) 12519.3 12124.3i 0.592844 0.574137i
\(765\) 286.746 + 1773.63i 0.0135521 + 0.0838243i