Properties

Label 197.4.g.a.16.9
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 16.9
Character \(\chi\) \(=\) 197.16
Dual form 197.4.g.a.37.9

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-4.01883 - 0.258017i) q^{2} +(0.971817 - 1.39317i) q^{3} +(8.15008 + 1.05084i) q^{4} +(10.9750 - 7.14395i) q^{5} +(-4.26503 + 5.34818i) q^{6} +(23.5076 - 1.50924i) q^{7} +(-0.859906 - 0.167467i) q^{8} +(8.32835 + 22.6308i) q^{9} +O(q^{10})\) \(q+(-4.01883 - 0.258017i) q^{2} +(0.971817 - 1.39317i) q^{3} +(8.15008 + 1.05084i) q^{4} +(10.9750 - 7.14395i) q^{5} +(-4.26503 + 5.34818i) q^{6} +(23.5076 - 1.50924i) q^{7} +(-0.859906 - 0.167467i) q^{8} +(8.32835 + 22.6308i) q^{9} +(-45.9500 + 25.8785i) q^{10} +(15.5983 - 52.5558i) q^{11} +(9.38438 - 10.3332i) q^{12} +(-2.56719 + 80.0546i) q^{13} -94.8623 q^{14} +(0.712960 - 22.2327i) q^{15} +(-60.1777 - 15.7804i) q^{16} +(83.3324 + 80.7030i) q^{17} +(-27.6311 - 93.0982i) q^{18} +(-79.9371 - 38.4957i) q^{19} +(96.9544 - 46.6908i) q^{20} +(20.7424 - 34.2168i) q^{21} +(-76.2471 + 207.188i) q^{22} +(6.94344 + 42.9477i) q^{23} +(-1.06898 + 1.03525i) q^{24} +(18.8172 - 42.5083i) q^{25} +(30.9726 - 321.063i) q^{26} +(83.9855 + 22.0236i) q^{27} +(193.175 + 12.4022i) q^{28} +(-164.750 + 181.408i) q^{29} +(-8.60168 + 89.1655i) q^{30} +(162.935 - 65.9652i) q^{31} +(244.423 + 81.1542i) q^{32} +(-58.0606 - 72.8057i) q^{33} +(-314.076 - 345.832i) q^{34} +(247.214 - 184.501i) q^{35} +(44.0954 + 193.195i) q^{36} +(145.915 - 38.2634i) q^{37} +(311.321 + 175.333i) q^{38} +(109.035 + 81.3749i) q^{39} +(-10.6339 + 4.30517i) q^{40} +(226.846 + 219.688i) q^{41} +(-92.1888 + 132.160i) q^{42} +(99.9230 - 336.674i) q^{43} +(182.355 - 411.942i) q^{44} +(253.077 + 188.876i) q^{45} +(-16.8233 - 174.391i) q^{46} +(-124.871 - 239.354i) q^{47} +(-80.4666 + 68.5022i) q^{48} +(210.145 - 27.0952i) q^{49} +(-86.5908 + 165.978i) q^{50} +(193.417 - 37.6680i) q^{51} +(-105.047 + 649.753i) q^{52} +(-16.0425 - 166.297i) q^{53} +(-331.841 - 110.179i) q^{54} +(-204.264 - 688.234i) q^{55} +(-20.4671 - 2.63894i) q^{56} +(-131.315 + 73.9554i) q^{57} +(708.910 - 686.541i) q^{58} +(245.912 + 138.495i) q^{59} +(29.1736 - 180.449i) q^{60} +(-201.005 - 288.155i) q^{61} +(-671.829 + 223.063i) q^{62} +(229.935 + 519.427i) q^{63} +(-500.031 - 202.440i) q^{64} +(543.730 + 896.940i) q^{65} +(214.550 + 307.574i) q^{66} +(128.989 + 247.248i) q^{67} +(594.360 + 745.304i) q^{68} +(66.5813 + 32.0639i) q^{69} +(-1041.12 + 677.691i) q^{70} +(-65.5474 - 178.113i) q^{71} +(-3.37169 - 20.8551i) q^{72} +(-1067.75 + 279.997i) q^{73} +(-596.280 + 116.126i) q^{74} +(-40.9346 - 67.5259i) q^{75} +(-611.040 - 397.743i) q^{76} +(287.359 - 1259.00i) q^{77} +(-417.197 - 355.165i) q^{78} +(-650.540 - 423.455i) q^{79} +(-773.186 + 256.715i) q^{80} +(-383.473 + 326.455i) q^{81} +(-854.973 - 941.420i) q^{82} +(-650.566 + 313.296i) q^{83} +(205.009 - 257.073i) q^{84} +(1491.11 + 290.394i) q^{85} +(-488.441 + 1327.25i) q^{86} +(92.6261 + 405.822i) q^{87} +(-22.2144 + 42.5809i) q^{88} +(-114.205 - 46.2363i) q^{89} +(-968.340 - 824.360i) q^{90} +(60.4728 + 1885.76i) q^{91} +(11.4587 + 357.323i) q^{92} +(66.4424 - 291.103i) q^{93} +(440.077 + 994.143i) q^{94} +(-1152.32 + 148.575i) q^{95} +(350.597 - 261.657i) q^{96} +(722.101 - 1191.18i) q^{97} +(-851.526 + 54.6698i) q^{98} +(1319.29 - 84.7012i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.01883 0.258017i −1.42087 0.0912229i −0.665439 0.746452i \(-0.731756\pi\)
−0.755430 + 0.655229i \(0.772572\pi\)
\(3\) 0.971817 1.39317i 0.187026 0.268116i −0.715629 0.698481i \(-0.753860\pi\)
0.902655 + 0.430364i \(0.141615\pi\)
\(4\) 8.15008 + 1.05084i 1.01876 + 0.131354i
\(5\) 10.9750 7.14395i 0.981636 0.638974i 0.0486228 0.998817i \(-0.484517\pi\)
0.933013 + 0.359843i \(0.117170\pi\)
\(6\) −4.26503 + 5.34818i −0.290198 + 0.363897i
\(7\) 23.5076 1.50924i 1.26929 0.0814911i 0.585200 0.810889i \(-0.301016\pi\)
0.684090 + 0.729398i \(0.260200\pi\)
\(8\) −0.859906 0.167467i −0.0380028 0.00740105i
\(9\) 8.32835 + 22.6308i 0.308458 + 0.838179i
\(10\) −45.9500 + 25.8785i −1.45307 + 0.818351i
\(11\) 15.5983 52.5558i 0.427551 1.44056i −0.418870 0.908046i \(-0.637574\pi\)
0.846421 0.532514i \(-0.178753\pi\)
\(12\) 9.38438 10.3332i 0.225753 0.248579i
\(13\) −2.56719 + 80.0546i −0.0547701 + 1.70793i 0.491954 + 0.870621i \(0.336283\pi\)
−0.546724 + 0.837313i \(0.684125\pi\)
\(14\) −94.8623 −1.81093
\(15\) 0.712960 22.2327i 0.0122724 0.382697i
\(16\) −60.1777 15.7804i −0.940276 0.246569i
\(17\) 83.3324 + 80.7030i 1.18889 + 1.15137i 0.985032 + 0.172372i \(0.0551431\pi\)
0.203855 + 0.979001i \(0.434653\pi\)
\(18\) −27.6311 93.0982i −0.361817 1.21908i
\(19\) −79.9371 38.4957i −0.965201 0.464816i −0.116211 0.993225i \(-0.537075\pi\)
−0.848990 + 0.528408i \(0.822789\pi\)
\(20\) 96.9544 46.6908i 1.08398 0.522019i
\(21\) 20.7424 34.2168i 0.215542 0.355558i
\(22\) −76.2471 + 207.188i −0.738906 + 2.00785i
\(23\) 6.94344 + 42.9477i 0.0629482 + 0.389357i 0.999270 + 0.0382127i \(0.0121664\pi\)
−0.936321 + 0.351144i \(0.885793\pi\)
\(24\) −1.06898 + 1.03525i −0.00909188 + 0.00880499i
\(25\) 18.8172 42.5083i 0.150537 0.340067i
\(26\) 30.9726 321.063i 0.233624 2.42176i
\(27\) 83.9855 + 22.0236i 0.598630 + 0.156979i
\(28\) 193.175 + 12.4022i 1.30381 + 0.0837071i
\(29\) −164.750 + 181.408i −1.05494 + 1.16161i −0.0684763 + 0.997653i \(0.521814\pi\)
−0.986467 + 0.163958i \(0.947574\pi\)
\(30\) −8.60168 + 89.1655i −0.0523482 + 0.542644i
\(31\) 162.935 65.9652i 0.944002 0.382184i 0.149032 0.988832i \(-0.452384\pi\)
0.794970 + 0.606649i \(0.207486\pi\)
\(32\) 244.423 + 81.1542i 1.35026 + 0.448318i
\(33\) −58.0606 72.8057i −0.306274 0.384056i
\(34\) −314.076 345.832i −1.58422 1.74440i
\(35\) 247.214 184.501i 1.19391 0.891038i
\(36\) 44.0954 + 193.195i 0.204146 + 0.894420i
\(37\) 145.915 38.2634i 0.648332 0.170013i 0.0851796 0.996366i \(-0.472854\pi\)
0.563153 + 0.826353i \(0.309588\pi\)
\(38\) 311.321 + 175.333i 1.32902 + 0.748492i
\(39\) 109.035 + 81.3749i 0.447681 + 0.334113i
\(40\) −10.6339 + 4.30517i −0.0420340 + 0.0170177i
\(41\) 226.846 + 219.688i 0.864084 + 0.836819i 0.987837 0.155494i \(-0.0496971\pi\)
−0.123753 + 0.992313i \(0.539493\pi\)
\(42\) −92.1888 + 132.160i −0.338692 + 0.485540i
\(43\) 99.9230 336.674i 0.354375 1.19401i −0.572900 0.819625i \(-0.694182\pi\)
0.927275 0.374381i \(-0.122145\pi\)
\(44\) 182.355 411.942i 0.624795 1.41142i
\(45\) 253.077 + 188.876i 0.838367 + 0.625690i
\(46\) −16.8233 174.391i −0.0539229 0.558968i
\(47\) −124.871 239.354i −0.387538 0.742839i 0.611281 0.791414i \(-0.290654\pi\)
−0.998820 + 0.0485749i \(0.984532\pi\)
\(48\) −80.4666 + 68.5022i −0.241966 + 0.205988i
\(49\) 210.145 27.0952i 0.612667 0.0789946i
\(50\) −86.5908 + 165.978i −0.244916 + 0.469458i
\(51\) 193.417 37.6680i 0.531055 0.103423i
\(52\) −105.047 + 649.753i −0.280142 + 1.73278i
\(53\) −16.0425 166.297i −0.0415775 0.430994i −0.992561 0.121751i \(-0.961149\pi\)
0.950983 0.309243i \(-0.100076\pi\)
\(54\) −331.841 110.179i −0.836255 0.277656i
\(55\) −204.264 688.234i −0.500782 1.68730i
\(56\) −20.4671 2.63894i −0.0488398 0.00629719i
\(57\) −131.315 + 73.9554i −0.305143 + 0.171853i
\(58\) 708.910 686.541i 1.60490 1.55426i
\(59\) 245.912 + 138.495i 0.542628 + 0.305602i 0.737635 0.675199i \(-0.235942\pi\)
−0.195007 + 0.980802i \(0.562473\pi\)
\(60\) 29.1736 180.449i 0.0627716 0.388265i
\(61\) −201.005 288.155i −0.421902 0.604828i 0.551432 0.834220i \(-0.314081\pi\)
−0.973334 + 0.229392i \(0.926326\pi\)
\(62\) −671.829 + 223.063i −1.37617 + 0.456919i
\(63\) 229.935 + 519.427i 0.459826 + 1.03876i
\(64\) −500.031 202.440i −0.976623 0.395391i
\(65\) 543.730 + 896.940i 1.03756 + 1.71157i
\(66\) 214.550 + 307.574i 0.400141 + 0.573633i
\(67\) 128.989 + 247.248i 0.235201 + 0.450837i 0.975065 0.221920i \(-0.0712324\pi\)
−0.739863 + 0.672757i \(0.765110\pi\)
\(68\) 594.360 + 745.304i 1.05995 + 1.32914i
\(69\) 66.5813 + 32.0639i 0.116166 + 0.0559425i
\(70\) −1041.12 + 677.691i −1.77767 + 1.15714i
\(71\) −65.5474 178.113i −0.109564 0.297721i 0.871805 0.489853i \(-0.162950\pi\)
−0.981369 + 0.192132i \(0.938460\pi\)
\(72\) −3.37169 20.8551i −0.00551886 0.0341361i
\(73\) −1067.75 + 279.997i −1.71193 + 0.448920i −0.974108 0.226081i \(-0.927409\pi\)
−0.737817 + 0.675001i \(0.764143\pi\)
\(74\) −596.280 + 116.126i −0.936705 + 0.182423i
\(75\) −40.9346 67.5259i −0.0630229 0.103963i
\(76\) −611.040 397.743i −0.922252 0.600319i
\(77\) 287.359 1259.00i 0.425293 1.86333i
\(78\) −417.197 355.165i −0.605618 0.515570i
\(79\) −650.540 423.455i −0.926474 0.603068i −0.00861024 0.999963i \(-0.502741\pi\)
−0.917864 + 0.396895i \(0.870088\pi\)
\(80\) −773.186 + 256.715i −1.08056 + 0.358771i
\(81\) −383.473 + 326.455i −0.526026 + 0.447812i
\(82\) −854.973 941.420i −1.15141 1.26783i
\(83\) −650.566 + 313.296i −0.860348 + 0.414322i −0.811408 0.584480i \(-0.801299\pi\)
−0.0489400 + 0.998802i \(0.515584\pi\)
\(84\) 205.009 257.073i 0.266289 0.333916i
\(85\) 1491.11 + 290.394i 1.90275 + 0.370561i
\(86\) −488.441 + 1327.25i −0.612441 + 1.66420i
\(87\) 92.6261 + 405.822i 0.114144 + 0.500099i
\(88\) −22.2144 + 42.5809i −0.0269098 + 0.0515811i
\(89\) −114.205 46.2363i −0.136019 0.0550679i 0.306246 0.951952i \(-0.400927\pi\)
−0.442265 + 0.896884i \(0.645825\pi\)
\(90\) −968.340 824.360i −1.13413 0.965502i
\(91\) 60.4728 + 1885.76i 0.0696623 + 2.17233i
\(92\) 11.4587 + 357.323i 0.0129853 + 0.404929i
\(93\) 66.4424 291.103i 0.0740834 0.324581i
\(94\) 440.077 + 994.143i 0.482878 + 1.09083i
\(95\) −1152.32 + 148.575i −1.24448 + 0.160458i
\(96\) 350.597 261.657i 0.372736 0.278180i
\(97\) 722.101 1191.18i 0.755858 1.24687i −0.207391 0.978258i \(-0.566497\pi\)
0.963249 0.268609i \(-0.0865639\pi\)
\(98\) −851.526 + 54.6698i −0.877726 + 0.0563519i
\(99\) 1319.29 84.7012i 1.33933 0.0859877i
\(100\) 198.031 326.672i 0.198031 0.326672i
\(101\) 1320.29 985.360i 1.30073 0.970762i 0.300879 0.953662i \(-0.402720\pi\)
0.999854 0.0170998i \(-0.00544330\pi\)
\(102\) −787.029 + 101.476i −0.763995 + 0.0985062i
\(103\) −349.203 788.856i −0.334058 0.754643i −0.999963 0.00860656i \(-0.997260\pi\)
0.665905 0.746037i \(-0.268046\pi\)
\(104\) 15.6140 68.4095i 0.0147219 0.0645010i
\(105\) −16.7945 523.713i −0.0156093 0.486754i
\(106\) 21.5645 + 672.459i 0.0197597 + 0.616180i
\(107\) −745.472 634.630i −0.673528 0.573383i 0.244621 0.969619i \(-0.421337\pi\)
−0.918149 + 0.396236i \(0.870316\pi\)
\(108\) 661.345 + 267.749i 0.589240 + 0.238557i
\(109\) 258.595 495.679i 0.227238 0.435573i −0.745815 0.666153i \(-0.767940\pi\)
0.973053 + 0.230580i \(0.0740623\pi\)
\(110\) 643.326 + 2818.60i 0.557625 + 2.44312i
\(111\) 88.4952 240.470i 0.0756720 0.205625i
\(112\) −1438.45 280.138i −1.21358 0.236344i
\(113\) 721.194 904.349i 0.600391 0.752867i −0.385048 0.922897i \(-0.625815\pi\)
0.985439 + 0.170030i \(0.0543864\pi\)
\(114\) 546.815 263.332i 0.449245 0.216345i
\(115\) 383.020 + 421.748i 0.310581 + 0.341984i
\(116\) −1533.36 + 1305.37i −1.22732 + 1.04483i
\(117\) −1833.08 + 608.625i −1.44845 + 0.480918i
\(118\) −952.545 620.038i −0.743126 0.483721i
\(119\) 2080.74 + 1771.36i 1.60287 + 1.36454i
\(120\) −4.33632 + 18.9987i −0.00329875 + 0.0144528i
\(121\) −1403.31 913.453i −1.05433 0.686291i
\(122\) 733.454 + 1209.91i 0.544293 + 0.897869i
\(123\) 526.517 102.539i 0.385971 0.0751679i
\(124\) 1397.25 366.403i 1.01191 0.265355i
\(125\) 164.093 + 1014.97i 0.117415 + 0.726255i
\(126\) −790.047 2146.81i −0.558595 1.51788i
\(127\) −136.708 + 88.9871i −0.0955187 + 0.0621758i −0.592408 0.805638i \(-0.701823\pi\)
0.496889 + 0.867814i \(0.334476\pi\)
\(128\) 100.994 + 48.6360i 0.0697395 + 0.0335848i
\(129\) −371.938 466.395i −0.253855 0.318324i
\(130\) −1953.73 3744.94i −1.31811 2.52656i
\(131\) 1192.87 + 1710.07i 0.795584 + 1.14053i 0.987267 + 0.159072i \(0.0508502\pi\)
−0.191683 + 0.981457i \(0.561395\pi\)
\(132\) −396.692 654.384i −0.261573 0.431491i
\(133\) −1937.23 784.296i −1.26300 0.511331i
\(134\) −454.590 1026.93i −0.293064 0.662037i
\(135\) 1079.08 358.278i 0.687942 0.228413i
\(136\) −58.1430 83.3524i −0.0366597 0.0525545i
\(137\) 264.342 1635.05i 0.164849 1.01965i −0.762921 0.646492i \(-0.776235\pi\)
0.927769 0.373155i \(-0.121724\pi\)
\(138\) −259.306 146.038i −0.159953 0.0900840i
\(139\) 40.0015 38.7392i 0.0244092 0.0236390i −0.683378 0.730065i \(-0.739490\pi\)
0.707787 + 0.706426i \(0.249694\pi\)
\(140\) 2208.70 1243.91i 1.33335 0.750928i
\(141\) −454.814 58.6417i −0.271647 0.0350250i
\(142\) 217.467 + 732.720i 0.128517 + 0.433017i
\(143\) 4167.29 + 1383.63i 2.43696 + 0.809128i
\(144\) −144.056 1493.30i −0.0833660 0.864176i
\(145\) −512.166 + 3167.93i −0.293332 + 1.81436i
\(146\) 4363.34 849.761i 2.47338 0.481690i
\(147\) 166.474 319.100i 0.0934051 0.179040i
\(148\) 1229.43 158.517i 0.682827 0.0880407i
\(149\) 1083.64 922.520i 0.595810 0.507220i −0.298654 0.954362i \(-0.596538\pi\)
0.894463 + 0.447141i \(0.147558\pi\)
\(150\) 147.086 + 281.937i 0.0800636 + 0.153467i
\(151\) 226.273 + 2345.55i 0.121946 + 1.26410i 0.829930 + 0.557868i \(0.188380\pi\)
−0.707984 + 0.706228i \(0.750395\pi\)
\(152\) 62.2916 + 46.4895i 0.0332403 + 0.0248078i
\(153\) −1132.35 + 2558.00i −0.598335 + 1.35165i
\(154\) −1479.69 + 4985.56i −0.774265 + 2.60875i
\(155\) 1316.97 1887.97i 0.682460 0.978358i
\(156\) 803.132 + 777.790i 0.412192 + 0.399186i
\(157\) 1596.99 646.551i 0.811808 0.328665i 0.0685315 0.997649i \(-0.478169\pi\)
0.743277 + 0.668984i \(0.233271\pi\)
\(158\) 2505.15 + 1869.64i 1.26139 + 0.941397i
\(159\) −247.271 139.261i −0.123333 0.0694597i
\(160\) 3262.31 855.479i 1.61193 0.422697i
\(161\) 228.042 + 999.116i 0.111629 + 0.489077i
\(162\) 1625.34 1213.02i 0.788265 0.588297i
\(163\) −1760.03 1937.99i −0.845746 0.931260i 0.152627 0.988284i \(-0.451227\pi\)
−0.998373 + 0.0570238i \(0.981839\pi\)
\(164\) 1617.96 + 2028.86i 0.770374 + 0.966018i
\(165\) −1157.34 384.262i −0.546052 0.181302i
\(166\) 2695.35 1091.23i 1.26024 0.510214i
\(167\) −261.065 + 2706.21i −0.120969 + 1.25397i 0.712606 + 0.701564i \(0.247515\pi\)
−0.833575 + 0.552406i \(0.813710\pi\)
\(168\) −23.5667 + 25.9496i −0.0108227 + 0.0119170i
\(169\) −4209.66 270.269i −1.91609 0.123017i
\(170\) −5917.60 1551.78i −2.66976 0.700093i
\(171\) 205.444 2129.65i 0.0918756 0.952387i
\(172\) 1168.17 2638.91i 0.517861 1.16986i
\(173\) −1599.81 + 1549.33i −0.703073 + 0.680888i −0.958226 0.286013i \(-0.907670\pi\)
0.255153 + 0.966901i \(0.417874\pi\)
\(174\) −267.539 1654.83i −0.116564 0.720989i
\(175\) 378.191 1027.67i 0.163363 0.443911i
\(176\) −1768.02 + 2916.54i −0.757214 + 1.24910i
\(177\) 431.930 208.006i 0.183423 0.0883317i
\(178\) 447.039 + 215.282i 0.188241 + 0.0906523i
\(179\) −879.582 2963.61i −0.367280 1.23749i −0.915897 0.401414i \(-0.868519\pi\)
0.548617 0.836074i \(-0.315155\pi\)
\(180\) 1864.12 + 1805.30i 0.771908 + 0.747551i
\(181\) −583.993 153.141i −0.239823 0.0628889i 0.131787 0.991278i \(-0.457929\pi\)
−0.371609 + 0.928389i \(0.621194\pi\)
\(182\) 243.530 7594.16i 0.0991848 3.09295i
\(183\) −596.790 −0.241071
\(184\) 1.22159 38.0938i 0.000489440 0.0152625i
\(185\) 1328.07 1462.35i 0.527792 0.581158i
\(186\) −342.130 + 1152.75i −0.134872 + 0.454429i
\(187\) 5541.25 3120.77i 2.16693 1.22039i
\(188\) −766.186 2081.97i −0.297233 0.807679i
\(189\) 2007.53 + 390.967i 0.772628 + 0.150469i
\(190\) 4669.32 299.780i 1.78288 0.114465i
\(191\) 590.339 740.262i 0.223641 0.280437i −0.657334 0.753599i \(-0.728316\pi\)
0.880975 + 0.473162i \(0.156888\pi\)
\(192\) −767.973 + 499.895i −0.288665 + 0.187900i
\(193\) −3247.92 418.773i −1.21135 0.156186i −0.504413 0.863463i \(-0.668291\pi\)
−0.706937 + 0.707277i \(0.749924\pi\)
\(194\) −3209.34 + 4600.84i −1.18772 + 1.70268i
\(195\) 1778.00 + 114.151i 0.652950 + 0.0419208i
\(196\) 1741.17 0.634536
\(197\) 1996.60 1912.84i 0.722090 0.691799i
\(198\) −5323.85 −1.91086
\(199\) −5143.54 330.226i −1.83224 0.117634i −0.890713 0.454566i \(-0.849794\pi\)
−0.941529 + 0.336932i \(0.890611\pi\)
\(200\) −23.2997 + 33.4019i −0.00823770 + 0.0118094i
\(201\) 469.812 + 60.5756i 0.164866 + 0.0212571i
\(202\) −5560.27 + 3619.33i −1.93673 + 1.26067i
\(203\) −3599.09 + 4513.12i −1.24437 + 1.56039i
\(204\) 1615.95 103.747i 0.554602 0.0356067i
\(205\) 4059.09 + 790.507i 1.38292 + 0.269324i
\(206\) 1199.85 + 3260.37i 0.405813 + 1.10272i
\(207\) −914.114 + 514.819i −0.306934 + 0.172862i
\(208\) 1417.78 4776.99i 0.472623 1.59242i
\(209\) −3270.05 + 3600.69i −1.08227 + 1.19170i
\(210\) −67.6330 + 2109.05i −0.0222244 + 0.693038i
\(211\) −1373.27 −0.448055 −0.224028 0.974583i \(-0.571921\pi\)
−0.224028 + 0.974583i \(0.571921\pi\)
\(212\) 44.0036 1372.19i 0.0142556 0.444541i
\(213\) −311.843 81.7749i −0.100315 0.0263057i
\(214\) 2832.18 + 2742.81i 0.904690 + 0.876144i
\(215\) −1308.52 4408.85i −0.415072 1.39852i
\(216\) −68.5314 33.0030i −0.0215878 0.0103962i
\(217\) 3730.66 1796.59i 1.16707 0.562030i
\(218\) −1167.14 + 1925.33i −0.362610 + 0.598163i
\(219\) −647.573 + 1759.66i −0.199812 + 0.542955i
\(220\) −941.548 5823.81i −0.288542 1.78473i
\(221\) −6674.57 + 6463.96i −2.03158 + 1.96748i
\(222\) −417.692 + 943.574i −0.126278 + 0.285264i
\(223\) −197.637 + 2048.72i −0.0593488 + 0.615212i 0.916982 + 0.398929i \(0.130618\pi\)
−0.976331 + 0.216283i \(0.930607\pi\)
\(224\) 5868.29 + 1538.85i 1.75041 + 0.459011i
\(225\) 1118.71 + 71.8239i 0.331471 + 0.0212811i
\(226\) −3131.69 + 3448.34i −0.921757 + 1.01496i
\(227\) 187.370 1942.29i 0.0547851 0.567904i −0.926626 0.375985i \(-0.877304\pi\)
0.981411 0.191919i \(-0.0614712\pi\)
\(228\) −1147.94 + 464.751i −0.333441 + 0.134995i
\(229\) −2149.17 713.572i −0.620179 0.205913i −0.0122754 0.999925i \(-0.503907\pi\)
−0.607903 + 0.794011i \(0.707989\pi\)
\(230\) −1430.47 1793.76i −0.410098 0.514247i
\(231\) −1474.75 1623.86i −0.420048 0.462520i
\(232\) 172.050 128.404i 0.0486880 0.0363368i
\(233\) 563.434 + 2468.57i 0.158420 + 0.694083i 0.990279 + 0.139096i \(0.0444196\pi\)
−0.831859 + 0.554987i \(0.812723\pi\)
\(234\) 7523.87 1972.99i 2.10193 0.551190i
\(235\) −3080.40 1734.85i −0.855076 0.481570i
\(236\) 1858.67 + 1387.16i 0.512665 + 0.382612i
\(237\) −1222.15 + 494.794i −0.334967 + 0.135613i
\(238\) −7905.11 7655.67i −2.15299 2.08506i
\(239\) −1320.24 + 1892.67i −0.357320 + 0.512245i −0.957816 0.287383i \(-0.907215\pi\)
0.600496 + 0.799628i \(0.294970\pi\)
\(240\) −393.746 + 1326.66i −0.105901 + 0.356815i
\(241\) −280.595 + 633.868i −0.0749987 + 0.169423i −0.947980 0.318331i \(-0.896878\pi\)
0.872981 + 0.487754i \(0.162184\pi\)
\(242\) 5403.97 + 4033.09i 1.43546 + 1.07131i
\(243\) 307.248 + 3184.94i 0.0811109 + 0.840799i
\(244\) −1335.40 2559.71i −0.350370 0.671593i
\(245\) 2112.78 1798.63i 0.550940 0.469022i
\(246\) −2142.44 + 276.237i −0.555272 + 0.0715944i
\(247\) 3286.97 6300.50i 0.846740 1.62304i
\(248\) −151.156 + 29.4377i −0.0387033 + 0.00753747i
\(249\) −195.756 + 1210.82i −0.0498213 + 0.308162i
\(250\) −397.580 4121.34i −0.100581 1.04262i
\(251\) −3884.87 1289.86i −0.976935 0.324365i −0.218301 0.975882i \(-0.570051\pi\)
−0.758634 + 0.651517i \(0.774133\pi\)
\(252\) 1328.15 + 4474.99i 0.332007 + 1.11864i
\(253\) 2365.45 + 304.991i 0.587806 + 0.0757891i
\(254\) 572.366 322.351i 0.141392 0.0796302i
\(255\) 1853.66 1795.17i 0.455218 0.440854i
\(256\) 3366.98 + 1896.25i 0.822017 + 0.462951i
\(257\) −655.540 + 4054.75i −0.159111 + 0.984157i 0.776241 + 0.630437i \(0.217124\pi\)
−0.935351 + 0.353720i \(0.884917\pi\)
\(258\) 1374.42 + 1970.33i 0.331657 + 0.475455i
\(259\) 3372.36 1119.70i 0.809067 0.268629i
\(260\) 3488.91 + 7881.50i 0.832203 + 1.87996i
\(261\) −5477.52 2217.60i −1.29904 0.525924i
\(262\) −4352.71 7180.25i −1.02638 1.69312i
\(263\) −509.792 730.826i −0.119525 0.171348i 0.755923 0.654661i \(-0.227189\pi\)
−0.875448 + 0.483313i \(0.839433\pi\)
\(264\) 37.7342 + 72.3293i 0.00879688 + 0.0168620i
\(265\) −1364.09 1710.51i −0.316208 0.396512i
\(266\) 7583.01 + 3651.79i 1.74791 + 0.841750i
\(267\) −175.401 + 114.173i −0.0402037 + 0.0261697i
\(268\) 791.452 + 2150.63i 0.180394 + 0.490189i
\(269\) 249.234 + 1541.60i 0.0564909 + 0.349416i 0.999845 + 0.0176273i \(0.00561124\pi\)
−0.943354 + 0.331789i \(0.892348\pi\)
\(270\) −4429.07 + 1161.44i −0.998313 + 0.261788i
\(271\) 1943.41 378.480i 0.435624 0.0848377i 0.0314190 0.999506i \(-0.489997\pi\)
0.404205 + 0.914669i \(0.367548\pi\)
\(272\) −3741.22 6171.54i −0.833989 1.37575i
\(273\) 2685.96 + 1748.37i 0.595465 + 0.387605i
\(274\) −1484.22 + 6502.77i −0.327244 + 1.43375i
\(275\) −1940.54 1652.01i −0.425524 0.362254i
\(276\) 508.949 + 331.289i 0.110997 + 0.0722509i
\(277\) 259.696 86.2251i 0.0563308 0.0187031i −0.286804 0.957989i \(-0.592593\pi\)
0.343135 + 0.939286i \(0.388511\pi\)
\(278\) −170.754 + 145.365i −0.0368387 + 0.0313613i
\(279\) 2849.83 + 3137.98i 0.611523 + 0.673355i
\(280\) −243.479 + 117.253i −0.0519666 + 0.0250258i
\(281\) 3029.67 3799.08i 0.643184 0.806528i −0.348213 0.937415i \(-0.613211\pi\)
0.991397 + 0.130888i \(0.0417828\pi\)
\(282\) 1812.69 + 353.021i 0.382780 + 0.0745464i
\(283\) −19.2663 + 52.3527i −0.00404686 + 0.0109966i −0.940476 0.339861i \(-0.889620\pi\)
0.936429 + 0.350857i \(0.114110\pi\)
\(284\) −347.048 1520.52i −0.0725124 0.317698i
\(285\) −912.855 + 1749.77i −0.189729 + 0.363675i
\(286\) −16390.6 6635.82i −3.38880 1.37197i
\(287\) 5664.17 + 4821.98i 1.16497 + 0.991751i
\(288\) 199.059 + 6207.39i 0.0407280 + 1.27005i
\(289\) 273.857 + 8539.87i 0.0557413 + 1.73822i
\(290\) 2875.69 12599.2i 0.582297 2.55121i
\(291\) −957.771 2163.62i −0.192940 0.435855i
\(292\) −8996.47 + 1159.97i −1.80301 + 0.232472i
\(293\) 4237.57 3162.58i 0.844919 0.630580i −0.0858006 0.996312i \(-0.527345\pi\)
0.930720 + 0.365733i \(0.119182\pi\)
\(294\) −751.363 + 1239.45i −0.149049 + 0.245872i
\(295\) 3688.29 236.796i 0.727935 0.0467350i
\(296\) −131.881 + 8.46705i −0.0258967 + 0.00166263i
\(297\) 2467.50 4070.39i 0.482083 0.795246i
\(298\) −4593.01 + 3427.85i −0.892838 + 0.666342i
\(299\) −3455.98 + 445.599i −0.668443 + 0.0861862i
\(300\) −262.661 593.357i −0.0505492 0.114192i
\(301\) 1840.83 8065.20i 0.352504 1.54442i
\(302\) −304.158 9484.76i −0.0579547 1.80724i
\(303\) −89.6939 2796.99i −0.0170059 0.530306i
\(304\) 4202.95 + 3578.02i 0.792946 + 0.675045i
\(305\) −4264.60 1726.54i −0.800623 0.324136i
\(306\) 5210.74 9988.01i 0.973458 1.86594i
\(307\) 1439.48 + 6306.76i 0.267607 + 1.17246i 0.912788 + 0.408433i \(0.133925\pi\)
−0.645181 + 0.764029i \(0.723218\pi\)
\(308\) 3665.00 9958.99i 0.678028 1.84242i
\(309\) −1438.37 280.123i −0.264810 0.0515717i
\(310\) −5779.79 + 7247.63i −1.05894 + 1.32786i
\(311\) −85.5105 + 41.1797i −0.0155912 + 0.00750832i −0.441663 0.897181i \(-0.645611\pi\)
0.426072 + 0.904689i \(0.359897\pi\)
\(312\) −80.1323 88.2346i −0.0145404 0.0160106i
\(313\) −6116.01 + 5206.63i −1.10446 + 0.940244i −0.998534 0.0541299i \(-0.982761\pi\)
−0.105930 + 0.994374i \(0.533782\pi\)
\(314\) −6584.86 + 2186.32i −1.18346 + 0.392934i
\(315\) 6234.29 + 4058.08i 1.11512 + 0.725862i
\(316\) −4856.97 4134.80i −0.864639 0.736078i
\(317\) −1414.47 + 6197.20i −0.250614 + 1.09801i 0.680346 + 0.732891i \(0.261829\pi\)
−0.930960 + 0.365121i \(0.881028\pi\)
\(318\) 957.809 + 623.465i 0.168903 + 0.109944i
\(319\) 6964.24 + 11488.2i 1.22233 + 2.01636i
\(320\) −6934.07 + 1350.41i −1.21133 + 0.235907i
\(321\) −1608.61 + 421.828i −0.279701 + 0.0733462i
\(322\) −658.671 4074.11i −0.113995 0.705098i
\(323\) −3554.64 9659.09i −0.612338 1.66392i
\(324\) −3468.38 + 2257.67i −0.594716 + 0.387117i
\(325\) 3354.68 + 1615.53i 0.572566 + 0.275733i
\(326\) 6573.24 + 8242.58i 1.11674 + 1.40035i
\(327\) −439.259 841.978i −0.0742847 0.142390i
\(328\) −158.276 226.901i −0.0266443 0.0381966i
\(329\) −3296.66 5438.18i −0.552434 0.911297i
\(330\) 4551.99 + 1842.90i 0.759330 + 0.307418i
\(331\) 1238.82 + 2798.51i 0.205714 + 0.464712i 0.987256 0.159141i \(-0.0508724\pi\)
−0.781541 + 0.623853i \(0.785566\pi\)
\(332\) −5631.39 + 1869.75i −0.930911 + 0.309084i
\(333\) 2081.17 + 2983.51i 0.342484 + 0.490977i
\(334\) 1747.43 10808.4i 0.286272 1.77069i
\(335\) 3181.98 + 1792.06i 0.518955 + 0.292270i
\(336\) −1788.19 + 1731.76i −0.290338 + 0.281177i
\(337\) 289.358 162.963i 0.0467725 0.0263418i −0.467155 0.884176i \(-0.654721\pi\)
0.513927 + 0.857834i \(0.328190\pi\)
\(338\) 16848.1 + 2172.33i 2.71130 + 0.349583i
\(339\) −559.045 1883.61i −0.0895669 0.301781i
\(340\) 11847.5 + 3933.65i 1.88977 + 0.627447i
\(341\) −925.342 9592.14i −0.146950 1.52329i
\(342\) −1375.13 + 8505.67i −0.217423 + 1.34484i
\(343\) −3031.60 + 590.405i −0.477234 + 0.0929413i
\(344\) −142.306 + 272.774i −0.0223042 + 0.0427529i
\(345\) 959.793 123.752i 0.149778 0.0193118i
\(346\) 6829.13 5813.72i 1.06109 0.903317i
\(347\) −5204.06 9975.21i −0.805096 1.54322i −0.839214 0.543801i \(-0.816984\pi\)
0.0341175 0.999418i \(-0.489138\pi\)
\(348\) 328.458 + 3404.81i 0.0505954 + 0.524474i
\(349\) −1964.52 1466.16i −0.301314 0.224876i 0.436790 0.899563i \(-0.356115\pi\)
−0.738104 + 0.674687i \(0.764279\pi\)
\(350\) −1785.04 + 4032.44i −0.272613 + 0.615837i
\(351\) −1978.70 + 6666.88i −0.300897 + 1.01382i
\(352\) 8077.71 11580.0i 1.22313 1.75346i
\(353\) 1407.03 + 1362.63i 0.212149 + 0.205455i 0.794131 0.607747i \(-0.207927\pi\)
−0.581982 + 0.813202i \(0.697722\pi\)
\(354\) −1789.52 + 724.496i −0.268678 + 0.108776i
\(355\) −1991.82 1486.53i −0.297788 0.222245i
\(356\) −882.189 496.840i −0.131337 0.0739676i
\(357\) 4489.92 1177.40i 0.665635 0.174550i
\(358\) 2770.23 + 12137.2i 0.408970 + 1.79181i
\(359\) 7707.05 5751.92i 1.13304 0.845612i 0.143472 0.989654i \(-0.454173\pi\)
0.989572 + 0.144042i \(0.0460101\pi\)
\(360\) −185.992 204.798i −0.0272296 0.0299828i
\(361\) 631.500 + 791.876i 0.0920688 + 0.115451i
\(362\) 2307.46 + 766.128i 0.335020 + 0.111234i
\(363\) −2636.36 + 1067.34i −0.381193 + 0.154328i
\(364\) −1488.77 + 15432.7i −0.214376 + 2.22223i
\(365\) −9718.28 + 10700.9i −1.39364 + 1.53455i
\(366\) 2398.40 + 153.982i 0.342530 + 0.0219912i
\(367\) −8357.61 2191.62i −1.18873 0.311722i −0.394245 0.919006i \(-0.628994\pi\)
−0.794485 + 0.607284i \(0.792259\pi\)
\(368\) 259.893 2694.06i 0.0368148 0.381624i
\(369\) −3082.47 + 6963.36i −0.434870 + 0.982380i
\(370\) −5714.59 + 5534.27i −0.802939 + 0.777603i
\(371\) −628.103 3885.04i −0.0878961 0.543669i
\(372\) 847.412 2302.69i 0.118108 0.320938i
\(373\) 3453.40 5696.74i 0.479384 0.790794i −0.518550 0.855047i \(-0.673528\pi\)
0.997934 + 0.0642536i \(0.0204667\pi\)
\(374\) −23074.5 + 11112.1i −3.19026 + 1.53635i
\(375\) 1573.50 + 757.758i 0.216681 + 0.104348i
\(376\) 67.2935 + 226.734i 0.00922978 + 0.0310982i
\(377\) −14099.6 13654.7i −1.92617 1.86540i
\(378\) −7967.06 2089.21i −1.08408 0.284279i
\(379\) −140.822 + 4391.34i −0.0190858 + 0.595167i 0.944615 + 0.328181i \(0.106436\pi\)
−0.963701 + 0.266985i \(0.913972\pi\)
\(380\) −9547.64 −1.28890
\(381\) −8.88084 + 276.937i −0.00119417 + 0.0372386i
\(382\) −2563.47 + 2822.67i −0.343347 + 0.378063i
\(383\) 2661.36 8966.99i 0.355063 1.19632i −0.571633 0.820510i \(-0.693690\pi\)
0.926695 0.375814i \(-0.122637\pi\)
\(384\) 165.906 93.4363i 0.0220477 0.0124171i
\(385\) −5840.47 15870.4i −0.773137 2.10086i
\(386\) 12944.8 + 2521.00i 1.70692 + 0.332423i
\(387\) 8451.40 542.598i 1.11010 0.0712708i
\(388\) 7136.91 8949.41i 0.933819 1.17097i
\(389\) −4748.94 + 3091.21i −0.618973 + 0.402907i −0.816463 0.577398i \(-0.804068\pi\)
0.197490 + 0.980305i \(0.436721\pi\)
\(390\) −7116.02 917.509i −0.923932 0.119128i
\(391\) −2887.39 + 4139.29i −0.373457 + 0.535378i
\(392\) −185.242 11.8930i −0.0238677 0.00153236i
\(393\) 3541.67 0.454589
\(394\) −8517.53 + 7172.23i −1.08910 + 0.917086i
\(395\) −10164.8 −1.29480
\(396\) 10841.3 + 696.035i 1.37575 + 0.0883260i
\(397\) 1333.98 1912.36i 0.168641 0.241759i −0.726895 0.686748i \(-0.759037\pi\)
0.895536 + 0.444989i \(0.146793\pi\)
\(398\) 20585.8 + 2654.25i 2.59265 + 0.334285i
\(399\) −2975.29 + 1936.70i −0.373310 + 0.242998i
\(400\) −1803.17 + 2261.11i −0.225397 + 0.282639i
\(401\) −1781.06 + 114.348i −0.221800 + 0.0142401i −0.174574 0.984644i \(-0.555855\pi\)
−0.0472268 + 0.998884i \(0.515038\pi\)
\(402\) −1872.46 364.662i −0.232313 0.0452430i
\(403\) 4862.53 + 13213.1i 0.601042 + 1.63322i
\(404\) 11795.9 6643.35i 1.45265 0.818116i
\(405\) −1876.44 + 6322.36i −0.230225 + 0.775705i
\(406\) 15628.6 17208.8i 1.91043 2.10359i
\(407\) 265.059 8265.53i 0.0322813 1.00665i
\(408\) −172.629 −0.0209470
\(409\) −451.968 + 14094.0i −0.0546415 + 1.70392i 0.495300 + 0.868722i \(0.335058\pi\)
−0.549942 + 0.835203i \(0.685350\pi\)
\(410\) −16108.8 4224.22i −1.94038 0.508828i
\(411\) −2021.01 1957.24i −0.242553 0.234899i
\(412\) −2017.07 6796.19i −0.241199 0.812680i
\(413\) 5989.83 + 2884.55i 0.713656 + 0.343679i
\(414\) 3806.50 1833.11i 0.451882 0.217615i
\(415\) −4901.80 + 8086.04i −0.579808 + 0.956453i
\(416\) −7124.25 + 19358.9i −0.839651 + 2.28160i
\(417\) −15.0964 93.3764i −0.00177284 0.0109656i
\(418\) 14070.8 13626.8i 1.64647 1.59452i
\(419\) 1460.64 3299.61i 0.170303 0.384717i −0.808800 0.588084i \(-0.799882\pi\)
0.979103 + 0.203367i \(0.0651884\pi\)
\(420\) 413.461 4285.95i 0.0480353 0.497936i
\(421\) −12480.7 3272.81i −1.44482 0.378877i −0.553728 0.832697i \(-0.686795\pi\)
−0.891093 + 0.453820i \(0.850061\pi\)
\(422\) 5518.92 + 354.327i 0.636628 + 0.0408729i
\(423\) 4376.82 4819.36i 0.503093 0.553961i
\(424\) −14.0542 + 145.687i −0.00160975 + 0.0166867i
\(425\) 4998.63 2023.72i 0.570515 0.230976i
\(426\) 1232.14 + 409.100i 0.140135 + 0.0465281i
\(427\) −5160.03 6470.47i −0.584804 0.733321i
\(428\) −5408.76 5955.65i −0.610847 0.672610i
\(429\) 5977.48 4461.11i 0.672717 0.502062i
\(430\) 4121.17 + 18056.0i 0.462187 + 2.02497i
\(431\) −2400.34 + 629.443i −0.268260 + 0.0703462i −0.385334 0.922777i \(-0.625914\pi\)
0.117074 + 0.993123i \(0.462649\pi\)
\(432\) −4706.51 2650.66i −0.524171 0.295208i
\(433\) 9194.18 + 6861.79i 1.02043 + 0.761563i 0.971452 0.237237i \(-0.0762418\pi\)
0.0489734 + 0.998800i \(0.484405\pi\)
\(434\) −15456.4 + 6257.61i −1.70952 + 0.692108i
\(435\) 3915.74 + 3792.18i 0.431599 + 0.417980i
\(436\) 2628.45 3768.08i 0.288715 0.413895i
\(437\) 1098.26 3700.40i 0.120222 0.405067i
\(438\) 3056.51 6904.70i 0.333437 0.753241i
\(439\) 6820.31 + 5090.13i 0.741493 + 0.553391i 0.901007 0.433805i \(-0.142829\pi\)
−0.159514 + 0.987196i \(0.550993\pi\)
\(440\) 60.3918 + 626.024i 0.00654333 + 0.0678285i
\(441\) 2363.35 + 4530.09i 0.255193 + 0.489158i
\(442\) 28491.8 24255.4i 3.06610 2.61021i
\(443\) 15747.4 2030.41i 1.68890 0.217760i 0.777385 0.629025i \(-0.216546\pi\)
0.911516 + 0.411265i \(0.134913\pi\)
\(444\) 973.937 1866.86i 0.104101 0.199543i
\(445\) −1583.71 + 308.427i −0.168708 + 0.0328558i
\(446\) 1322.87 8182.45i 0.140448 0.868722i
\(447\) −232.126 2406.23i −0.0245619 0.254610i
\(448\) −12060.1 4004.21i −1.27184 0.422280i
\(449\) 1807.60 + 6090.42i 0.189991 + 0.640144i 0.998654 + 0.0518710i \(0.0165185\pi\)
−0.808662 + 0.588273i \(0.799808\pi\)
\(450\) −4477.39 577.295i −0.469036 0.0604755i
\(451\) 15084.3 8495.33i 1.57493 0.886983i
\(452\) 6828.11 6612.65i 0.710547 0.688126i
\(453\) 3487.66 + 1964.21i 0.361732 + 0.203724i
\(454\) −1254.15 + 7757.38i −0.129648 + 0.801921i
\(455\) 14135.5 + 20264.3i 1.45644 + 2.08792i
\(456\) 125.304 41.6038i 0.0128682 0.00427253i
\(457\) −4746.24 10721.8i −0.485820 1.09748i −0.974372 0.224941i \(-0.927781\pi\)
0.488553 0.872534i \(-0.337525\pi\)
\(458\) 8453.01 + 3422.25i 0.862409 + 0.349151i
\(459\) 5221.34 + 8613.15i 0.530962 + 0.875877i
\(460\) 2678.46 + 3839.77i 0.271486 + 0.389196i
\(461\) 3204.81 + 6143.03i 0.323781 + 0.620628i 0.992411 0.122968i \(-0.0392412\pi\)
−0.668630 + 0.743596i \(0.733119\pi\)
\(462\) 5507.77 + 6906.52i 0.554642 + 0.695499i
\(463\) 2580.04 + 1242.48i 0.258973 + 0.124715i 0.558866 0.829258i \(-0.311237\pi\)
−0.299893 + 0.953973i \(0.596951\pi\)
\(464\) 12777.0 8316.90i 1.27836 0.832118i
\(465\) −1350.42 3669.53i −0.134676 0.365957i
\(466\) −1627.41 10066.1i −0.161778 1.00065i
\(467\) −2645.68 + 693.779i −0.262157 + 0.0687457i −0.382393 0.924000i \(-0.624900\pi\)
0.120236 + 0.992745i \(0.461635\pi\)
\(468\) −15579.3 + 3034.07i −1.53879 + 0.299680i
\(469\) 3405.37 + 5617.52i 0.335278 + 0.553076i
\(470\) 11932.0 + 7766.84i 1.17102 + 0.762251i
\(471\) 651.228 2853.22i 0.0637091 0.279128i
\(472\) −188.268 160.275i −0.0183596 0.0156298i
\(473\) −16135.5 10503.1i −1.56853 1.02100i
\(474\) 5039.28 1673.16i 0.488316 0.162132i
\(475\) −3140.57 + 2673.61i −0.303367 + 0.258260i
\(476\) 15096.8 + 16623.3i 1.45370 + 1.60068i
\(477\) 3629.84 1748.04i 0.348425 0.167793i
\(478\) 5794.17 7265.66i 0.554434 0.695238i
\(479\) −15915.9 3099.61i −1.51819 0.295668i −0.637908 0.770113i \(-0.720200\pi\)
−0.880285 + 0.474445i \(0.842649\pi\)
\(480\) 1978.54 5376.34i 0.188141 0.511240i
\(481\) 2688.57 + 11779.4i 0.254861 + 1.11662i
\(482\) 1291.21 2475.01i 0.122019 0.233887i
\(483\) 1613.56 + 653.257i 0.152007 + 0.0615408i
\(484\) −10477.2 8919.36i −0.983958 0.837656i
\(485\) −584.661 18231.9i −0.0547383 1.70694i
\(486\) −413.005 12879.0i −0.0385479 1.20207i
\(487\) 1177.40 5158.52i 0.109555 0.479990i −0.890150 0.455668i \(-0.849400\pi\)
0.999704 0.0243214i \(-0.00774252\pi\)
\(488\) 124.589 + 281.448i 0.0115571 + 0.0261077i
\(489\) −4410.39 + 568.657i −0.407863 + 0.0525881i
\(490\) −8954.96 + 6683.26i −0.825600 + 0.616161i
\(491\) 3738.74 6167.44i 0.343639 0.566869i −0.634985 0.772524i \(-0.718994\pi\)
0.978624 + 0.205656i \(0.0659327\pi\)
\(492\) 4398.91 282.419i 0.403085 0.0258789i
\(493\) −28369.2 + 1821.37i −2.59166 + 0.166390i
\(494\) −14835.4 + 24472.5i −1.35117 + 2.22889i
\(495\) 13874.1 10354.5i 1.25979 0.940205i
\(496\) −10846.0 + 1398.44i −0.981857 + 0.126596i
\(497\) −1809.68 4088.09i −0.163330 0.368966i
\(498\) 1099.12 4815.56i 0.0989011 0.433314i
\(499\) 61.5592 + 1919.64i 0.00552258 + 0.172214i 0.998531 + 0.0541748i \(0.0172528\pi\)
−0.993009 + 0.118040i \(0.962339\pi\)
\(500\) 270.800 + 8444.54i 0.0242211 + 0.755302i
\(501\) 3516.52 + 2993.65i 0.313586 + 0.266959i
\(502\) 15279.8 + 6186.11i 1.35851 + 0.549999i
\(503\) −8454.88 + 16206.4i −0.749472 + 1.43660i 0.144981 + 0.989434i \(0.453688\pi\)
−0.894453 + 0.447163i \(0.852434\pi\)
\(504\) −110.736 485.165i −0.00978682 0.0428789i
\(505\) 7450.88 20246.4i 0.656554 1.78407i
\(506\) −9427.66 1836.04i −0.828281 0.161308i
\(507\) −4467.55 + 5602.13i −0.391343 + 0.490728i
\(508\) −1207.69 + 581.594i −0.105478 + 0.0507954i
\(509\) 9440.64 + 10395.2i 0.822100 + 0.905223i 0.996844 0.0793906i \(-0.0252974\pi\)
−0.174744 + 0.984614i \(0.555910\pi\)
\(510\) −7912.71 + 6736.19i −0.687021 + 0.584870i
\(511\) −24677.6 + 8193.53i −2.13635 + 0.709316i
\(512\) −13793.6 8978.64i −1.19062 0.775007i
\(513\) −5865.74 4993.58i −0.504832 0.429770i
\(514\) 3680.70 16126.2i 0.315853 1.38384i
\(515\) −9468.05 6163.02i −0.810121 0.527330i
\(516\) −2541.22 4192.00i −0.216804 0.357641i
\(517\) −14527.2 + 2829.18i −1.23580 + 0.240671i
\(518\) −13841.8 + 3629.76i −1.17408 + 0.307881i
\(519\) 603.763 + 3734.49i 0.0510641 + 0.315849i
\(520\) −317.350 862.341i −0.0267629 0.0727234i
\(521\) 3688.42 2400.89i 0.310158 0.201891i −0.381035 0.924561i \(-0.624432\pi\)
0.691193 + 0.722670i \(0.257085\pi\)
\(522\) 21441.0 + 10325.5i 1.79779 + 0.865772i
\(523\) −2184.01 2738.66i −0.182601 0.228974i 0.682103 0.731256i \(-0.261065\pi\)
−0.864704 + 0.502282i \(0.832494\pi\)
\(524\) 7924.97 + 15190.7i 0.660695 + 1.26643i
\(525\) −1064.19 1525.59i −0.0884664 0.126823i
\(526\) 1860.20 + 3068.60i 0.154199 + 0.254367i
\(527\) 18901.4 + 7652.32i 1.56235 + 0.632525i
\(528\) 2345.05 + 5297.50i 0.193286 + 0.436637i
\(529\) 9750.87 3237.51i 0.801420 0.266090i
\(530\) 5040.68 + 7226.20i 0.413120 + 0.592238i
\(531\) −1086.22 + 6718.64i −0.0887717 + 0.549085i
\(532\) −14964.4 8427.78i −1.21953 0.686824i
\(533\) −18169.4 + 17596.1i −1.47656 + 1.42997i
\(534\) 734.366 413.587i 0.0595114 0.0335162i
\(535\) −12715.3 1639.46i −1.02754 0.132486i
\(536\) −69.5126 234.211i −0.00560166 0.0188738i
\(537\) −4983.61 1654.67i −0.400482 0.132969i
\(538\) −603.868 6259.72i −0.0483914 0.501628i
\(539\) 1853.89 11467.0i 0.148150 0.916358i
\(540\) 9171.05 1786.06i 0.730851 0.142333i
\(541\) 5991.58 11484.7i 0.476152 0.912694i −0.522060 0.852909i \(-0.674836\pi\)
0.998211 0.0597847i \(-0.0190414\pi\)
\(542\) −7907.90 + 1019.61i −0.626703 + 0.0808045i
\(543\) −780.887 + 664.779i −0.0617147 + 0.0525385i
\(544\) 13819.0 + 26488.5i 1.08913 + 2.08765i
\(545\) −703.014 7287.48i −0.0552547 0.572773i
\(546\) −10343.3 7719.42i −0.810720 0.605056i
\(547\) 161.597 365.051i 0.0126314 0.0285346i −0.907986 0.419001i \(-0.862380\pi\)
0.920617 + 0.390467i \(0.127686\pi\)
\(548\) 3872.57 13048.0i 0.301876 1.01712i
\(549\) 4847.15 6948.76i 0.376815 0.540193i
\(550\) 7372.46 + 7139.83i 0.571568 + 0.553533i
\(551\) 20153.1 8159.08i 1.55817 0.630832i
\(552\) −51.8840 38.7221i −0.00400060 0.00298573i
\(553\) −15931.7 8972.58i −1.22511 0.689969i
\(554\) −1065.92 + 279.518i −0.0817449 + 0.0214360i
\(555\) −746.669 3271.37i −0.0571069 0.250202i
\(556\) 366.723 273.693i 0.0279722 0.0208762i
\(557\) 9650.06 + 10625.8i 0.734087 + 0.808311i 0.987261 0.159110i \(-0.0508623\pi\)
−0.253174 + 0.967421i \(0.581475\pi\)
\(558\) −10643.3 13346.3i −0.807469 1.01253i
\(559\) 26695.7 + 8863.60i 2.01987 + 0.670645i
\(560\) −17788.3 + 7201.68i −1.34231 + 0.543440i
\(561\) 1037.30 10752.7i 0.0780660 0.809235i
\(562\) −13155.9 + 14486.1i −0.987455 + 1.08730i
\(563\) 3228.87 + 207.301i 0.241706 + 0.0155181i 0.184452 0.982842i \(-0.440949\pi\)
0.0572546 + 0.998360i \(0.481765\pi\)
\(564\) −3645.14 955.869i −0.272142 0.0713641i
\(565\) 1454.50 15077.4i 0.108303 1.12268i
\(566\) 90.9358 205.426i 0.00675321 0.0152556i
\(567\) −8521.82 + 8252.92i −0.631186 + 0.611270i
\(568\) 26.5365 + 164.138i 0.00196030 + 0.0121251i
\(569\) −1470.35 + 3995.41i −0.108331 + 0.294370i −0.981020 0.193906i \(-0.937884\pi\)
0.872689 + 0.488276i \(0.162374\pi\)
\(570\) 4120.08 6796.50i 0.302756 0.499428i
\(571\) −2964.88 + 1427.81i −0.217297 + 0.104645i −0.539366 0.842072i \(-0.681336\pi\)
0.322069 + 0.946716i \(0.395622\pi\)
\(572\) 32509.7 + 15655.9i 2.37640 + 1.14441i
\(573\) −457.611 1541.84i −0.0333630 0.112411i
\(574\) −21519.2 20840.2i −1.56480 1.51542i
\(575\) 1956.29 + 512.999i 0.141883 + 0.0372062i
\(576\) 416.952 13002.1i 0.0301615 0.940546i
\(577\) −6909.59 −0.498527 −0.249263 0.968436i \(-0.580189\pi\)
−0.249263 + 0.968436i \(0.580189\pi\)
\(578\) 1102.85 34390.9i 0.0793642 2.47487i
\(579\) −3739.81 + 4117.94i −0.268430 + 0.295572i
\(580\) −7503.17 + 25280.7i −0.537159 + 1.80987i
\(581\) −14820.4 + 8346.69i −1.05827 + 0.596005i
\(582\) 3290.86 + 8942.34i 0.234383 + 0.636893i
\(583\) −8990.12 1750.83i −0.638650 0.124377i
\(584\) 965.054 61.9585i 0.0683805 0.00439018i
\(585\) −15770.1 + 19775.1i −1.11455 + 1.39761i
\(586\) −17846.1 + 11616.5i −1.25804 + 0.818896i
\(587\) −21223.8 2736.51i −1.49233 0.192415i −0.661926 0.749570i \(-0.730261\pi\)
−0.830409 + 0.557154i \(0.811893\pi\)
\(588\) 1692.10 2425.75i 0.118675 0.170130i
\(589\) −15563.9 999.238i −1.08880 0.0699031i
\(590\) −14883.7 −1.03856
\(591\) −724.593 4640.54i −0.0504328 0.322989i
\(592\) −9384.65 −0.651531
\(593\) 2527.09 + 162.245i 0.175000 + 0.0112354i 0.151324 0.988484i \(-0.451646\pi\)
0.0236767 + 0.999720i \(0.492463\pi\)
\(594\) −10966.7 + 15721.5i −0.757522 + 1.08596i
\(595\) 35490.7 + 4576.02i 2.44534 + 0.315292i
\(596\) 9801.20 6379.88i 0.673612 0.438473i
\(597\) −5458.65 + 6844.93i −0.374217 + 0.469253i
\(598\) 14004.0 899.084i 0.957633 0.0614821i
\(599\) −19729.3 3842.28i −1.34577 0.262089i −0.533713 0.845666i \(-0.679204\pi\)
−0.812058 + 0.583577i \(0.801653\pi\)
\(600\) 23.8916 + 64.9211i 0.00162562 + 0.00441732i
\(601\) −13668.6 + 7698.01i −0.927709 + 0.522476i −0.879256 0.476349i \(-0.841960\pi\)
−0.0484533 + 0.998825i \(0.515429\pi\)
\(602\) −9478.93 + 31937.7i −0.641748 + 2.16226i
\(603\) −4521.15 + 4978.29i −0.305333 + 0.336205i
\(604\) −620.652 + 19354.2i −0.0418112 + 1.30383i
\(605\) −21927.0 −1.47349
\(606\) −361.206 + 11263.7i −0.0242129 + 0.755047i
\(607\) 26037.2 + 6827.75i 1.74105 + 0.456557i 0.981112 0.193441i \(-0.0619647\pi\)
0.759937 + 0.649997i \(0.225230\pi\)
\(608\) −16414.4 15896.5i −1.09489 1.06034i
\(609\) 2789.90 + 9400.09i 0.185636 + 0.625469i
\(610\) 16693.2 + 8039.02i 1.10801 + 0.533591i
\(611\) 19482.0 9382.02i 1.28994 0.621205i
\(612\) −11916.8 + 19658.0i −0.787105 + 1.29841i
\(613\) 826.521 2245.93i 0.0544582 0.147981i −0.908318 0.418280i \(-0.862633\pi\)
0.962776 + 0.270300i \(0.0871228\pi\)
\(614\) −4157.76 25717.2i −0.273279 1.69033i
\(615\) 5046.00 4886.78i 0.330853 0.320413i
\(616\) −457.942 + 1034.50i −0.0299530 + 0.0676643i
\(617\) −1089.60 + 11294.8i −0.0710948 + 0.736972i 0.889113 + 0.457687i \(0.151322\pi\)
−0.960208 + 0.279285i \(0.909903\pi\)
\(618\) 5708.30 + 1496.89i 0.371556 + 0.0974334i
\(619\) −3531.79 226.748i −0.229329 0.0147234i −0.0510185 0.998698i \(-0.516247\pi\)
−0.178310 + 0.983974i \(0.557063\pi\)
\(620\) 12717.3 14003.2i 0.823774 0.907067i
\(621\) −362.713 + 3759.90i −0.0234383 + 0.242962i
\(622\) 354.277 143.431i 0.0228380 0.00924607i
\(623\) −2754.46 914.542i −0.177135 0.0588128i
\(624\) −5277.34 6617.58i −0.338562 0.424543i
\(625\) 12958.5 + 14268.7i 0.829343 + 0.913199i
\(626\) 25922.6 19346.5i 1.65507 1.23521i
\(627\) 1838.49 + 8054.96i 0.117101 + 0.513053i
\(628\) 13695.0 3591.26i 0.870209 0.228196i
\(629\) 15247.4 + 8587.19i 0.966542 + 0.544346i
\(630\) −24007.5 17917.3i −1.51822 1.13308i
\(631\) 147.474 59.7056i 0.00930403 0.00376678i −0.370610 0.928788i \(-0.620851\pi\)
0.379914 + 0.925022i \(0.375953\pi\)
\(632\) 488.489 + 473.075i 0.0307453 + 0.0297752i
\(633\) −1334.56 + 1913.20i −0.0837981 + 0.120131i
\(634\) 7283.50 24540.5i 0.456254 1.53727i
\(635\) −864.655 + 1953.27i −0.0540359 + 0.122068i
\(636\) −1868.94 1394.83i −0.116522 0.0869630i
\(637\) 1629.61 + 16892.6i 0.101362 + 1.05072i
\(638\) −25023.9 47966.1i −1.55283 2.97649i
\(639\) 3484.95 2966.78i 0.215747 0.183669i
\(640\) 1455.86 187.712i 0.0899186 0.0115937i
\(641\) −3881.50 + 7440.12i −0.239173 + 0.458451i −0.976041 0.217586i \(-0.930182\pi\)
0.736868 + 0.676037i \(0.236304\pi\)
\(642\) 6573.57 1280.20i 0.404109 0.0787003i
\(643\) 547.820 3388.46i 0.0335986 0.207819i −0.964899 0.262623i \(-0.915412\pi\)
0.998497 + 0.0548036i \(0.0174533\pi\)
\(644\) 808.650 + 8382.51i 0.0494803 + 0.512915i
\(645\) −7413.93 2461.59i −0.452594 0.150272i
\(646\) 11793.3 + 39735.4i 0.718265 + 2.42007i
\(647\) −3536.63 455.997i −0.214898 0.0277081i 0.0196754 0.999806i \(-0.493737\pi\)
−0.234574 + 0.972098i \(0.575369\pi\)
\(648\) 384.421 216.502i 0.0233048 0.0131250i
\(649\) 11114.5 10763.8i 0.672240 0.651028i
\(650\) −13065.0 7358.09i −0.788389 0.444012i
\(651\) 1122.56 6943.41i 0.0675829 0.418024i
\(652\) −12307.9 17644.3i −0.739286 1.05982i
\(653\) −8470.04 + 2812.25i −0.507593 + 0.168533i −0.557429 0.830225i \(-0.688212\pi\)
0.0498355 + 0.998757i \(0.484130\pi\)
\(654\) 1548.06 + 3497.10i 0.0925597 + 0.209094i
\(655\) 25308.4 + 10246.2i 1.50974 + 0.611227i
\(656\) −10184.3 16800.1i −0.606144 0.999897i
\(657\) −15229.1 21832.1i −0.904331 1.29643i
\(658\) 11845.6 + 22705.7i 0.701805 + 1.34523i
\(659\) 11720.7 + 14697.3i 0.692831 + 0.868782i 0.996465 0.0840065i \(-0.0267716\pi\)
−0.303635 + 0.952789i \(0.598200\pi\)
\(660\) −9028.58 4347.94i −0.532481 0.256429i
\(661\) 22772.4 14823.2i 1.34000 0.872246i 0.342274 0.939600i \(-0.388803\pi\)
0.997729 + 0.0673544i \(0.0214558\pi\)
\(662\) −4256.52 11566.3i −0.249901 0.679062i
\(663\) 2518.95 + 15580.6i 0.147554 + 0.912671i
\(664\) 611.893 160.457i 0.0357621 0.00937793i
\(665\) −26864.1 + 5231.78i −1.56653 + 0.305082i
\(666\) −7594.05 12527.2i −0.441837 0.728856i
\(667\) −8935.00 5816.04i −0.518688 0.337628i
\(668\) −4971.49 + 21781.5i −0.287953 + 1.26160i
\(669\) 2662.15 + 2266.32i 0.153849 + 0.130973i
\(670\) −12325.4 8022.97i −0.710706 0.462619i
\(671\) −18279.6 + 6069.23i −1.05168 + 0.349180i
\(672\) 7846.78 6680.06i 0.450441 0.383466i
\(673\) 22881.1 + 25194.6i 1.31055 + 1.44306i 0.820816 + 0.571192i \(0.193519\pi\)
0.489735 + 0.871871i \(0.337093\pi\)
\(674\) −1204.93 + 580.263i −0.0688606 + 0.0331615i
\(675\) 2516.55 3155.66i 0.143500 0.179943i
\(676\) −34025.0 6626.37i −1.93588 0.377012i
\(677\) 7619.36 20704.3i 0.432549 1.17538i −0.515398 0.856951i \(-0.672356\pi\)
0.947948 0.318426i \(-0.103154\pi\)
\(678\) 1760.70 + 7714.14i 0.0997336 + 0.436962i
\(679\) 15177.1 29091.6i 0.857795 1.64423i
\(680\) −1233.59 499.423i −0.0695674 0.0281647i
\(681\) −2523.86 2148.59i −0.142018 0.120902i
\(682\) 1243.85 + 38787.9i 0.0698381 + 2.17781i
\(683\) −273.167 8518.37i −0.0153037 0.477227i −0.978237 0.207489i \(-0.933471\pi\)
0.962934 0.269738i \(-0.0869372\pi\)
\(684\) 3912.30 17140.9i 0.218699 0.958185i
\(685\) −8779.54 19833.1i −0.489707 1.10626i
\(686\) 12335.8 1590.53i 0.686565 0.0885228i
\(687\) −3082.73 + 2300.70i −0.171198 + 0.127769i
\(688\) −11326.0 + 18683.4i −0.627616 + 1.03532i
\(689\) 13354.0 857.358i 0.738387 0.0474060i
\(690\) −3889.17 + 249.693i −0.214577 + 0.0137763i
\(691\) −6465.73 + 10665.9i −0.355960 + 0.587193i −0.981143 0.193286i \(-0.938086\pi\)
0.625183 + 0.780478i \(0.285024\pi\)
\(692\) −14666.7 + 10946.0i −0.805700 + 0.601309i
\(693\) 30885.5 3982.24i 1.69299 0.218287i
\(694\) 18340.4 + 41431.4i 1.00316 + 2.26616i
\(695\) 162.266 710.932i 0.00885624 0.0388017i
\(696\) −11.6882 364.480i −0.000636550 0.0198500i
\(697\) 1174.15 + 36614.3i 0.0638079 + 1.98977i
\(698\) 7516.78 + 6399.13i 0.407614 + 0.347006i
\(699\) 3986.70 + 1614.03i 0.215723 + 0.0873368i
\(700\) 4162.20 7978.15i 0.224737 0.430780i
\(701\) −1537.87 6737.86i −0.0828596 0.363032i 0.916451 0.400146i \(-0.131041\pi\)
−0.999311 + 0.0371142i \(0.988183\pi\)
\(702\) 9672.20 26282.5i 0.520020 1.41306i
\(703\) −13137.0 2558.43i −0.704796 0.137259i
\(704\) −18439.0 + 23121.8i −0.987141 + 1.23784i
\(705\) −5410.52 + 2605.57i −0.289038 + 0.139194i
\(706\) −5303.02 5839.22i −0.282694 0.311277i
\(707\) 29549.7 25156.1i 1.57190 1.33818i
\(708\) 3738.84 1241.38i 0.198466 0.0658954i
\(709\) −13223.5 8607.54i −0.700449 0.455942i 0.145394 0.989374i \(-0.453555\pi\)
−0.845843 + 0.533432i \(0.820902\pi\)
\(710\) 7621.22 + 6488.04i 0.402844 + 0.342946i
\(711\) 4165.20 18248.9i 0.219701 0.962572i
\(712\) 90.4622 + 58.8844i 0.00476154 + 0.00309942i
\(713\) 3964.38 + 6539.67i 0.208229 + 0.343496i
\(714\) −18348.0 + 3573.27i −0.961703 + 0.187292i
\(715\) 55620.7 14585.5i 2.90922 0.762888i
\(716\) −4054.40 25077.9i −0.211620 1.30895i
\(717\) 1353.78 + 3678.66i 0.0705130 + 0.191607i
\(718\) −32457.4 + 21127.4i −1.68705 + 1.09815i
\(719\) 7138.85 + 3437.89i 0.370284 + 0.178319i 0.609766 0.792581i \(-0.291263\pi\)
−0.239482 + 0.970901i \(0.576978\pi\)
\(720\) −12249.0 15359.8i −0.634021 0.795037i
\(721\) −9399.49 18017.1i −0.485514 0.930639i
\(722\) −2333.57 3345.35i −0.120286 0.172439i
\(723\) 610.401 + 1006.92i 0.0313984 + 0.0517950i
\(724\) −4598.66 1861.79i −0.236061 0.0955704i
\(725\) 4611.23 + 10416.9i 0.236216 + 0.533617i
\(726\) 10870.5 3609.24i 0.555703 0.184506i
\(727\) −3248.97 4657.65i −0.165747 0.237610i 0.728649 0.684888i \(-0.240149\pi\)
−0.894395 + 0.447277i \(0.852394\pi\)
\(728\) 263.802 1631.71i 0.0134301 0.0830702i
\(729\) −7111.99 4005.40i −0.361327 0.203495i
\(730\) 41817.1 40497.6i 2.12017 2.05327i
\(731\) 35497.4 19991.8i 1.79606 1.01152i
\(732\) −4863.88 627.128i −0.245593 0.0316657i
\(733\) −8988.32 30284.6i −0.452921 1.52604i −0.806843 0.590766i \(-0.798826\pi\)
0.353922 0.935275i \(-0.384848\pi\)
\(734\) 33022.3 + 10964.2i 1.66059 + 0.551355i
\(735\) −452.574 4691.41i −0.0227122 0.235435i
\(736\) −1788.24 + 11060.9i −0.0895590 + 0.553954i
\(737\) 15006.3 2922.48i 0.750019 0.146066i
\(738\) 14184.6 27189.2i 0.707510 1.35616i
\(739\) −12656.1 + 1631.82i −0.629988 + 0.0812279i −0.436250 0.899825i \(-0.643694\pi\)
−0.193738 + 0.981053i \(0.562061\pi\)
\(740\) 12360.6 10522.7i 0.614031 0.522732i
\(741\) −5583.36 10702.2i −0.276801 0.530576i
\(742\) 1521.83 + 15775.4i 0.0752939 + 0.780501i
\(743\) 27028.1 + 20171.6i 1.33454 + 0.995993i 0.998534 + 0.0541337i \(0.0172397\pi\)
0.336007 + 0.941860i \(0.390924\pi\)
\(744\) −105.884 + 239.195i −0.00521762 + 0.0117867i
\(745\) 5302.59 17866.2i 0.260767 0.878612i
\(746\) −15348.5 + 22003.2i −0.753281 + 1.07988i
\(747\) −12508.3 12113.6i −0.612657 0.593325i
\(748\) 48441.0 19611.6i 2.36789 0.958651i
\(749\) −18482.1 13793.5i −0.901628 0.672903i
\(750\) −6128.11 3451.29i −0.298356 0.168031i
\(751\) 3200.59 839.295i 0.155514 0.0407807i −0.175076 0.984555i \(-0.556017\pi\)
0.330591 + 0.943774i \(0.392752\pi\)
\(752\) 3737.33 + 16374.3i 0.181232 + 0.794029i
\(753\) −5572.39 + 4158.78i −0.269680 + 0.201267i
\(754\) 53140.8 + 58513.9i 2.56668 + 2.82620i
\(755\) 19239.9 + 24126.0i 0.927431 + 1.16296i
\(756\) 15950.7 + 5296.00i 0.767357 + 0.254780i
\(757\) −9518.66 + 3853.68i −0.457017 + 0.185026i −0.592193 0.805796i \(-0.701738\pi\)
0.135176 + 0.990822i \(0.456840\pi\)
\(758\) 1698.98 17611.7i 0.0814113 0.843913i
\(759\) 2723.69 2999.09i 0.130255 0.143426i
\(760\) 1015.77 + 65.2146i 0.0484814 + 0.00311261i
\(761\) 35130.0 + 9212.18i 1.67341 + 0.438819i 0.963983 0.265963i \(-0.0856898\pi\)
0.709424 + 0.704782i \(0.248955\pi\)
\(762\) 107.145 1110.67i 0.00509378 0.0528023i
\(763\) 5330.86 12042.5i 0.252936 0.571386i
\(764\) 5589.20 5412.84i 0.264673 0.256321i
\(765\) 5846.65 + 36163.6i 0.276322 + 1.70915i