Properties

Label 197.3.i.a.2.2
Level $197$
Weight $3$
Character 197.2
Analytic conductor $5.368$
Analytic rank $0$
Dimension $2688$
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [197,3,Mod(2,197)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(197, base_ring=CyclotomicField(196))
 
chi = DirichletCharacter(H, H._module([1]))
 
N = Newforms(chi, 3, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("197.2");
 
S:= CuspForms(chi, 3);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 197 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 197.i (of order \(196\), degree \(84\), 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: \(5.36786120790\)
Analytic rank: \(0\)
Dimension: \(2688\)
Relative dimension: \(32\) over \(\Q(\zeta_{196})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{196}]$

Embedding invariants

Embedding label 2.2
Character \(\chi\) \(=\) 197.2
Dual form 197.3.i.a.99.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-3.55486 - 0.0569840i) q^{2} +(1.99334 - 0.488708i) q^{3} +(8.63581 + 0.276934i) q^{4} +(-0.673805 - 4.63842i) q^{5} +(-7.11389 + 1.62370i) q^{6} +(-5.67297 + 5.85781i) q^{7} +(-16.4785 - 0.792989i) q^{8} +(-4.24482 + 2.21452i) q^{9} +O(q^{10})\) \(q+(-3.55486 - 0.0569840i) q^{2} +(1.99334 - 0.488708i) q^{3} +(8.63581 + 0.276934i) q^{4} +(-0.673805 - 4.63842i) q^{5} +(-7.11389 + 1.62370i) q^{6} +(-5.67297 + 5.85781i) q^{7} +(-16.4785 - 0.792989i) q^{8} +(-4.24482 + 2.21452i) q^{9} +(2.13096 + 16.5273i) q^{10} +(-6.27628 - 3.14740i) q^{11} +(17.3495 - 3.66837i) q^{12} +(8.31806 + 3.52382i) q^{13} +(20.5004 - 20.5004i) q^{14} +(-3.60996 - 8.91666i) q^{15} +(24.0434 + 1.54364i) q^{16} +(1.03619 - 0.698379i) q^{17} +(15.2159 - 7.63042i) q^{18} +(-15.2286 + 12.1444i) q^{19} +(-4.53431 - 40.2432i) q^{20} +(-8.44540 + 14.4490i) q^{21} +(22.1319 + 11.5462i) q^{22} +(-3.07114 + 8.34528i) q^{23} +(-33.2348 + 6.47247i) q^{24} +(2.90574 - 0.862409i) q^{25} +(-29.3687 - 13.0007i) q^{26} +(-21.2504 + 18.6863i) q^{27} +(-50.6129 + 49.0159i) q^{28} +(2.95232 + 1.92175i) q^{29} +(12.3248 + 31.9032i) q^{30} +(-35.4115 + 42.9731i) q^{31} +(-19.6046 - 1.57454i) q^{32} +(-14.0489 - 3.20657i) q^{33} +(-3.72329 + 2.42359i) q^{34} +(30.9935 + 22.3666i) q^{35} +(-37.2708 + 17.9487i) q^{36} +(-25.9267 + 1.66455i) q^{37} +(54.8276 - 42.3039i) q^{38} +(18.3028 + 2.95906i) q^{39} +(7.42506 + 76.9685i) q^{40} +(-13.9557 + 71.6595i) q^{41} +(30.8456 - 50.8830i) q^{42} +(-11.0140 - 33.1725i) q^{43} +(-53.3291 - 28.9185i) q^{44} +(13.1321 + 18.1971i) q^{45} +(11.3930 - 29.4913i) q^{46} +(-27.8937 - 49.5281i) q^{47} +(48.6812 - 8.67322i) q^{48} +(-0.560790 - 17.4875i) q^{49} +(-10.3786 + 2.90016i) q^{50} +(1.72417 - 1.89850i) q^{51} +(70.8573 + 32.7346i) q^{52} +(-18.1465 - 40.9932i) q^{53} +(76.6068 - 65.2163i) q^{54} +(-10.3700 + 31.2328i) q^{55} +(98.1271 - 92.0291i) q^{56} +(-24.4208 + 31.6503i) q^{57} +(-10.3856 - 6.99977i) q^{58} +(-3.63758 - 0.469014i) q^{59} +(-28.7056 - 78.0023i) q^{60} +(37.4166 + 61.7226i) q^{61} +(128.331 - 150.745i) q^{62} +(11.1085 - 37.4283i) q^{63} +(-26.3245 - 2.53949i) q^{64} +(10.7402 - 40.9570i) q^{65} +(49.7591 + 12.1995i) q^{66} +(22.0320 + 6.15652i) q^{67} +(9.14171 - 5.74412i) q^{68} +(-2.04342 + 18.1359i) q^{69} +(-108.903 - 81.2762i) q^{70} +(-26.0238 - 8.17981i) q^{71} +(71.7043 - 33.1258i) q^{72} +(76.0535 + 66.8770i) q^{73} +(92.2606 - 4.43983i) q^{74} +(5.37067 - 3.13913i) q^{75} +(-134.875 + 100.660i) q^{76} +(54.0420 - 18.9101i) q^{77} +(-64.8954 - 11.5620i) q^{78} +(2.40106 - 16.5288i) q^{79} +(-9.04052 - 112.564i) q^{80} +(-8.57462 + 12.2924i) q^{81} +(53.6939 - 253.944i) q^{82} +(-101.208 - 80.7104i) q^{83} +(-76.9343 + 122.440i) q^{84} +(-3.93756 - 4.33570i) q^{85} +(37.2630 + 118.551i) q^{86} +(6.82415 + 2.38787i) q^{87} +(100.928 + 56.8414i) q^{88} +(-3.85919 - 4.68327i) q^{89} +(-45.6457 - 65.4365i) q^{90} +(-67.8299 + 28.7351i) q^{91} +(-28.8329 + 71.2178i) q^{92} +(-49.5858 + 102.966i) q^{93} +(96.3359 + 177.655i) q^{94} +(66.5921 + 62.4538i) q^{95} +(-39.8482 + 6.44235i) q^{96} +(-24.9260 - 95.0536i) q^{97} +(0.997020 + 62.1975i) q^{98} +(33.6117 - 0.538792i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2688 q - 84 q^{2} - 84 q^{3} - 84 q^{4} - 84 q^{5} - 98 q^{6} - 84 q^{7} - 140 q^{8} - 84 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 2688 q - 84 q^{2} - 84 q^{3} - 84 q^{4} - 84 q^{5} - 98 q^{6} - 84 q^{7} - 140 q^{8} - 84 q^{9} - 84 q^{10} - 140 q^{11} - 140 q^{12} - 84 q^{13} - 28 q^{14} - 84 q^{15} + 112 q^{16} - 84 q^{17} - 210 q^{18} - 98 q^{19} - 84 q^{20} - 84 q^{21} - 84 q^{22} - 84 q^{23} - 308 q^{24} - 84 q^{25} + 70 q^{26} - 126 q^{27} - 910 q^{28} - 294 q^{29} + 70 q^{30} - 84 q^{31} - 84 q^{32} - 98 q^{33} - 84 q^{34} - 84 q^{35} + 2198 q^{36} + 126 q^{37} - 140 q^{38} - 84 q^{39} + 476 q^{40} + 28 q^{41} - 588 q^{42} - 84 q^{43} - 84 q^{44} - 966 q^{45} - 448 q^{46} + 266 q^{47} - 1428 q^{48} + 756 q^{49} - 84 q^{50} - 84 q^{51} + 126 q^{52} - 84 q^{53} - 588 q^{54} - 84 q^{55} - 84 q^{56} - 672 q^{57} + 532 q^{58} + 616 q^{59} - 378 q^{60} - 364 q^{61} - 854 q^{62} + 1036 q^{63} - 1428 q^{64} + 28 q^{65} + 406 q^{66} - 84 q^{67} - 966 q^{68} - 504 q^{69} - 84 q^{70} + 434 q^{71} - 532 q^{72} - 84 q^{73} + 546 q^{74} - 84 q^{75} - 308 q^{76} + 700 q^{77} + 2310 q^{78} - 1400 q^{79} - 84 q^{80} - 700 q^{81} - 84 q^{82} - 98 q^{83} - 588 q^{84} + 1666 q^{85} - 84 q^{86} - 84 q^{87} + 420 q^{88} + 868 q^{89} - 1890 q^{90} + 1260 q^{91} + 924 q^{92} - 98 q^{93} - 420 q^{94} - 1834 q^{95} + 364 q^{96} + 504 q^{97} - 980 q^{98} + 630 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{196}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.55486 0.0569840i −1.77743 0.0284920i −0.881370 0.472428i \(-0.843378\pi\)
−0.896059 + 0.443936i \(0.853582\pi\)
\(3\) 1.99334 0.488708i 0.664447 0.162903i 0.108469 0.994100i \(-0.465405\pi\)
0.555978 + 0.831197i \(0.312344\pi\)
\(4\) 8.63581 + 0.276934i 2.15895 + 0.0692334i
\(5\) −0.673805 4.63842i −0.134761 0.927685i −0.941557 0.336854i \(-0.890637\pi\)
0.806796 0.590830i \(-0.201200\pi\)
\(6\) −7.11389 + 1.62370i −1.18565 + 0.270616i
\(7\) −5.67297 + 5.85781i −0.810424 + 0.836830i −0.989126 0.147074i \(-0.953015\pi\)
0.178701 + 0.983903i \(0.442810\pi\)
\(8\) −16.4785 0.792989i −2.05981 0.0991236i
\(9\) −4.24482 + 2.21452i −0.471647 + 0.246058i
\(10\) 2.13096 + 16.5273i 0.213096 + 1.65273i
\(11\) −6.27628 3.14740i −0.570571 0.286127i 0.139541 0.990216i \(-0.455437\pi\)
−0.710112 + 0.704089i \(0.751356\pi\)
\(12\) 17.3495 3.66837i 1.44579 0.305697i
\(13\) 8.31806 + 3.52382i 0.639851 + 0.271063i 0.685699 0.727886i \(-0.259497\pi\)
−0.0458477 + 0.998948i \(0.514599\pi\)
\(14\) 20.5004 20.5004i 1.46431 1.46431i
\(15\) −3.60996 8.91666i −0.240664 0.594444i
\(16\) 24.0434 + 1.54364i 1.50272 + 0.0964775i
\(17\) 1.03619 0.698379i 0.0609521 0.0410811i −0.528044 0.849217i \(-0.677074\pi\)
0.588996 + 0.808136i \(0.299523\pi\)
\(18\) 15.2159 7.63042i 0.845329 0.423912i
\(19\) −15.2286 + 12.1444i −0.801507 + 0.639180i −0.936105 0.351720i \(-0.885597\pi\)
0.134599 + 0.990900i \(0.457025\pi\)
\(20\) −4.53431 40.2432i −0.226716 2.01216i
\(21\) −8.44540 + 14.4490i −0.402162 + 0.688049i
\(22\) 22.1319 + 11.5462i 1.00600 + 0.524827i
\(23\) −3.07114 + 8.34528i −0.133528 + 0.362838i −0.987530 0.157431i \(-0.949679\pi\)
0.854002 + 0.520270i \(0.174169\pi\)
\(24\) −33.2348 + 6.47247i −1.38478 + 0.269686i
\(25\) 2.90574 0.862409i 0.116230 0.0344964i
\(26\) −29.3687 13.0007i −1.12957 0.500025i
\(27\) −21.2504 + 18.6863i −0.787050 + 0.692086i
\(28\) −50.6129 + 49.0159i −1.80760 + 1.75057i
\(29\) 2.95232 + 1.92175i 0.101804 + 0.0662671i 0.595430 0.803407i \(-0.296982\pi\)
−0.493626 + 0.869674i \(0.664329\pi\)
\(30\) 12.3248 + 31.9032i 0.410826 + 1.06344i
\(31\) −35.4115 + 42.9731i −1.14231 + 1.38623i −0.231785 + 0.972767i \(0.574457\pi\)
−0.910521 + 0.413463i \(0.864319\pi\)
\(32\) −19.6046 1.57454i −0.612645 0.0492044i
\(33\) −14.0489 3.20657i −0.425725 0.0971689i
\(34\) −3.72329 + 2.42359i −0.109508 + 0.0712821i
\(35\) 30.9935 + 22.3666i 0.885527 + 0.639046i
\(36\) −37.2708 + 17.9487i −1.03530 + 0.498574i
\(37\) −25.9267 + 1.66455i −0.700722 + 0.0449878i −0.410353 0.911927i \(-0.634594\pi\)
−0.290369 + 0.956915i \(0.593778\pi\)
\(38\) 54.8276 42.3039i 1.44283 1.11326i
\(39\) 18.3028 + 2.95906i 0.469304 + 0.0758734i
\(40\) 7.42506 + 76.9685i 0.185626 + 1.92421i
\(41\) −13.9557 + 71.6595i −0.340383 + 1.74779i 0.276757 + 0.960940i \(0.410740\pi\)
−0.617140 + 0.786854i \(0.711709\pi\)
\(42\) 30.8456 50.8830i 0.734418 1.21150i
\(43\) −11.0140 33.1725i −0.256140 0.771454i −0.995204 0.0978188i \(-0.968813\pi\)
0.739064 0.673635i \(-0.235268\pi\)
\(44\) −53.3291 28.9185i −1.21203 0.657238i
\(45\) 13.1321 + 18.1971i 0.291824 + 0.404381i
\(46\) 11.3930 29.4913i 0.247674 0.641115i
\(47\) −27.8937 49.5281i −0.593484 1.05379i −0.990700 0.136065i \(-0.956554\pi\)
0.397216 0.917725i \(-0.369976\pi\)
\(48\) 48.6812 8.67322i 1.01419 0.180692i
\(49\) −0.560790 17.4875i −0.0114447 0.356888i
\(50\) −10.3786 + 2.90016i −0.207573 + 0.0580032i
\(51\) 1.72417 1.89850i 0.0338072 0.0372255i
\(52\) 70.8573 + 32.7346i 1.36264 + 0.629511i
\(53\) −18.1465 40.9932i −0.342387 0.773457i −0.999801 0.0199285i \(-0.993656\pi\)
0.657415 0.753529i \(-0.271650\pi\)
\(54\) 76.6068 65.2163i 1.41864 1.20771i
\(55\) −10.3700 + 31.2328i −0.188545 + 0.567868i
\(56\) 98.1271 92.0291i 1.75227 1.64338i
\(57\) −24.4208 + 31.6503i −0.428434 + 0.555269i
\(58\) −10.3856 6.99977i −0.179061 0.120686i
\(59\) −3.63758 0.469014i −0.0616539 0.00794939i 0.0969884 0.995286i \(-0.469079\pi\)
−0.158642 + 0.987336i \(0.550712\pi\)
\(60\) −28.7056 78.0023i −0.478426 1.30004i
\(61\) 37.4166 + 61.7226i 0.613387 + 1.01185i 0.996122 + 0.0879871i \(0.0280434\pi\)
−0.382735 + 0.923858i \(0.625018\pi\)
\(62\) 128.331 150.745i 2.06986 2.43138i
\(63\) 11.1085 37.4283i 0.176326 0.594100i
\(64\) −26.3245 2.53949i −0.411320 0.0396796i
\(65\) 10.7402 40.9570i 0.165234 0.630108i
\(66\) 49.7591 + 12.1995i 0.753927 + 0.184840i
\(67\) 22.0320 + 6.15652i 0.328836 + 0.0918884i 0.429593 0.903023i \(-0.358657\pi\)
−0.100757 + 0.994911i \(0.532126\pi\)
\(68\) 9.14171 5.74412i 0.134437 0.0844723i
\(69\) −2.04342 + 18.1359i −0.0296148 + 0.262839i
\(70\) −108.903 81.2762i −1.55575 1.16109i
\(71\) −26.0238 8.17981i −0.366533 0.115209i 0.111005 0.993820i \(-0.464593\pi\)
−0.477538 + 0.878611i \(0.658471\pi\)
\(72\) 71.7043 33.1258i 0.995893 0.460081i
\(73\) 76.0535 + 66.8770i 1.04183 + 0.916124i 0.996562 0.0828510i \(-0.0264026\pi\)
0.0452667 + 0.998975i \(0.485586\pi\)
\(74\) 92.2606 4.43983i 1.24676 0.0599977i
\(75\) 5.37067 3.13913i 0.0716089 0.0418551i
\(76\) −134.875 + 100.660i −1.77467 + 1.32447i
\(77\) 54.0420 18.9101i 0.701844 0.245586i
\(78\) −64.8954 11.5620i −0.831992 0.148231i
\(79\) 2.40106 16.5288i 0.0303932 0.209225i −0.968872 0.247564i \(-0.920370\pi\)
0.999265 + 0.0383391i \(0.0122067\pi\)
\(80\) −9.04052 112.564i −0.113007 1.40705i
\(81\) −8.57462 + 12.2924i −0.105860 + 0.151758i
\(82\) 53.6939 253.944i 0.654804 3.09688i
\(83\) −101.208 80.7104i −1.21937 0.972415i −0.219375 0.975641i \(-0.570402\pi\)
−0.999995 + 0.00322588i \(0.998973\pi\)
\(84\) −76.9343 + 122.440i −0.915885 + 1.45762i
\(85\) −3.93756 4.33570i −0.0463243 0.0510082i
\(86\) 37.2630 + 118.551i 0.433291 + 1.37850i
\(87\) 6.82415 + 2.38787i 0.0784385 + 0.0274468i
\(88\) 100.928 + 56.8414i 1.14690 + 0.645925i
\(89\) −3.85919 4.68327i −0.0433617 0.0526210i 0.749608 0.661882i \(-0.230242\pi\)
−0.792970 + 0.609261i \(0.791466\pi\)
\(90\) −45.6457 65.4365i −0.507174 0.727072i
\(91\) −67.8299 + 28.7351i −0.745384 + 0.315770i
\(92\) −28.8329 + 71.2178i −0.313401 + 0.774106i
\(93\) −49.5858 + 102.966i −0.533181 + 1.10716i
\(94\) 96.3359 + 177.655i 1.02485 + 1.88995i
\(95\) 66.5921 + 62.4538i 0.700969 + 0.657409i
\(96\) −39.8482 + 6.44235i −0.415086 + 0.0671078i
\(97\) −24.9260 95.0536i −0.256969 0.979934i −0.962506 0.271261i \(-0.912559\pi\)
0.705537 0.708673i \(-0.250706\pi\)
\(98\) 0.997020 + 62.1975i 0.0101737 + 0.634668i
\(99\) 33.6117 0.538792i 0.339512 0.00544234i
\(100\) 25.3323 6.64290i 0.253323 0.0664290i
\(101\) 23.5832 + 145.870i 0.233497 + 1.44426i 0.789842 + 0.613310i \(0.210163\pi\)
−0.556345 + 0.830951i \(0.687797\pi\)
\(102\) −6.23735 + 6.65064i −0.0611505 + 0.0652024i
\(103\) −99.9019 + 54.1732i −0.969921 + 0.525953i −0.882548 0.470222i \(-0.844174\pi\)
−0.0873731 + 0.996176i \(0.527847\pi\)
\(104\) −134.275 64.6633i −1.29110 0.621762i
\(105\) 72.7113 + 29.4375i 0.692488 + 0.280357i
\(106\) 62.1722 + 146.759i 0.586530 + 1.38452i
\(107\) 73.4816 51.2576i 0.686744 0.479043i −0.176192 0.984356i \(-0.556378\pi\)
0.862936 + 0.505313i \(0.168623\pi\)
\(108\) −188.689 + 155.487i −1.74712 + 1.43969i
\(109\) 78.7935 139.906i 0.722876 1.28354i −0.227907 0.973683i \(-0.573188\pi\)
0.950783 0.309857i \(-0.100281\pi\)
\(110\) 38.6436 110.437i 0.351305 1.00397i
\(111\) −50.8673 + 15.9886i −0.458264 + 0.144041i
\(112\) −145.440 + 132.085i −1.29857 + 1.17933i
\(113\) −76.0004 47.7542i −0.672570 0.422604i 0.151987 0.988382i \(-0.451433\pi\)
−0.824557 + 0.565779i \(0.808576\pi\)
\(114\) 88.6158 111.121i 0.777332 0.974743i
\(115\) 40.7783 + 8.62216i 0.354594 + 0.0749753i
\(116\) 24.9635 + 17.4134i 0.215202 + 0.150116i
\(117\) −43.1123 + 3.46255i −0.368481 + 0.0295944i
\(118\) 12.9044 + 1.87456i 0.109359 + 0.0158861i
\(119\) −1.78728 + 10.0317i −0.0150192 + 0.0842996i
\(120\) 52.4158 + 149.796i 0.436798 + 1.24830i
\(121\) −42.8859 57.4631i −0.354429 0.474902i
\(122\) −129.493 221.547i −1.06142 1.81596i
\(123\) 7.20215 + 149.662i 0.0585540 + 1.21677i
\(124\) −317.708 + 361.301i −2.56216 + 2.91372i
\(125\) −55.1010 119.272i −0.440808 0.954174i
\(126\) −41.6220 + 132.419i −0.330333 + 1.05095i
\(127\) 143.829 192.717i 1.13251 1.51746i 0.308200 0.951322i \(-0.400274\pi\)
0.824310 0.566138i \(-0.191563\pi\)
\(128\) 171.611 + 19.3360i 1.34071 + 0.151062i
\(129\) −38.1664 60.7415i −0.295864 0.470864i
\(130\) −40.5138 + 144.984i −0.311644 + 1.11526i
\(131\) 7.66500 31.2640i 0.0585115 0.238656i −0.934622 0.355642i \(-0.884262\pi\)
0.993134 + 0.116986i \(0.0373233\pi\)
\(132\) −120.436 31.5820i −0.912392 0.239257i
\(133\) 15.2518 158.101i 0.114675 1.18873i
\(134\) −77.9698 23.1410i −0.581864 0.172694i
\(135\) 100.994 + 85.9772i 0.748102 + 0.636868i
\(136\) −17.6286 + 10.6865i −0.129622 + 0.0785775i
\(137\) −84.1936 + 30.9840i −0.614552 + 0.226161i −0.633604 0.773658i \(-0.718425\pi\)
0.0190520 + 0.999818i \(0.493935\pi\)
\(138\) 8.29753 64.3540i 0.0601270 0.466333i
\(139\) 20.9243 31.0454i 0.150534 0.223348i −0.746416 0.665480i \(-0.768227\pi\)
0.896950 + 0.442132i \(0.145778\pi\)
\(140\) 261.460 + 201.737i 1.86757 + 1.44098i
\(141\) −79.8065 85.0946i −0.566004 0.603508i
\(142\) 92.0449 + 30.5610i 0.648203 + 0.215218i
\(143\) −41.1156 48.2967i −0.287522 0.337739i
\(144\) −105.479 + 46.6922i −0.732490 + 0.324252i
\(145\) 6.92459 14.9890i 0.0477558 0.103372i
\(146\) −266.548 242.072i −1.82567 1.65803i
\(147\) −9.66413 34.5845i −0.0657424 0.235269i
\(148\) −224.359 + 7.19476i −1.51594 + 0.0486132i
\(149\) 3.57222 + 20.0502i 0.0239746 + 0.134565i 0.994182 0.107709i \(-0.0343515\pi\)
−0.970208 + 0.242274i \(0.922107\pi\)
\(150\) −19.2708 + 10.8531i −0.128472 + 0.0723542i
\(151\) −65.6156 25.3485i −0.434540 0.167871i 0.133181 0.991092i \(-0.457481\pi\)
−0.567721 + 0.823221i \(0.692175\pi\)
\(152\) 260.575 188.045i 1.71431 1.23714i
\(153\) −2.85185 + 5.25915i −0.0186395 + 0.0343735i
\(154\) −193.189 + 64.1432i −1.25447 + 0.416514i
\(155\) 223.188 + 135.298i 1.43992 + 0.872890i
\(156\) 157.240 + 30.6226i 1.00795 + 0.196299i
\(157\) 283.862 27.3838i 1.80804 0.174419i 0.863833 0.503779i \(-0.168057\pi\)
0.944205 + 0.329359i \(0.106833\pi\)
\(158\) −9.47732 + 58.6206i −0.0599830 + 0.371016i
\(159\) −56.2059 72.8452i −0.353496 0.458146i
\(160\) 5.90631 + 91.9955i 0.0369144 + 0.574972i
\(161\) −31.4626 65.3327i −0.195420 0.405793i
\(162\) 31.1820 43.2090i 0.192482 0.266722i
\(163\) 109.475 + 168.183i 0.671625 + 1.03180i 0.996298 + 0.0859699i \(0.0273989\pi\)
−0.324673 + 0.945826i \(0.605254\pi\)
\(164\) −140.364 + 614.974i −0.855876 + 3.74984i
\(165\) −5.40722 + 67.3254i −0.0327710 + 0.408033i
\(166\) 355.180 + 292.681i 2.13964 + 1.76314i
\(167\) −276.198 + 106.700i −1.65388 + 0.638924i −0.993689 0.112172i \(-0.964219\pi\)
−0.660193 + 0.751096i \(0.729525\pi\)
\(168\) 150.625 231.401i 0.896579 1.37739i
\(169\) −60.7975 62.7784i −0.359749 0.371470i
\(170\) 13.7504 + 15.6372i 0.0808848 + 0.0919832i
\(171\) 37.7487 85.2750i 0.220753 0.498684i
\(172\) −85.9286 289.522i −0.499585 1.68327i
\(173\) 1.05314 + 5.40763i 0.00608749 + 0.0312580i 0.984478 0.175505i \(-0.0561559\pi\)
−0.978391 + 0.206763i \(0.933707\pi\)
\(174\) −24.1228 8.87741i −0.138637 0.0510196i
\(175\) −11.4324 + 21.9137i −0.0653278 + 0.125221i
\(176\) −146.045 85.3626i −0.829800 0.485015i
\(177\) −7.48015 + 0.842810i −0.0422607 + 0.00476164i
\(178\) 13.4520 + 16.8683i 0.0755730 + 0.0947655i
\(179\) 35.9522 + 71.6929i 0.200850 + 0.400519i 0.971603 0.236615i \(-0.0760381\pi\)
−0.770753 + 0.637134i \(0.780120\pi\)
\(180\) 108.367 + 160.784i 0.602037 + 0.893243i
\(181\) 3.96916 61.8229i 0.0219291 0.341563i −0.972259 0.233906i \(-0.924849\pi\)
0.994188 0.107656i \(-0.0343346\pi\)
\(182\) 242.763 98.2839i 1.33386 0.540021i
\(183\) 104.748 + 104.748i 0.572395 + 0.572395i
\(184\) 57.2254 135.082i 0.311008 0.734142i
\(185\) 25.1904 + 119.137i 0.136164 + 0.643986i
\(186\) 182.138 363.204i 0.979236 1.95271i
\(187\) −8.70146 + 1.12193i −0.0465319 + 0.00599962i
\(188\) −227.169 435.440i −1.20835 2.31617i
\(189\) 11.0917 230.487i 0.0586861 1.21951i
\(190\) −233.166 225.809i −1.22719 1.18847i
\(191\) −43.7768 191.799i −0.229198 1.00418i −0.950296 0.311348i \(-0.899219\pi\)
0.721098 0.692833i \(-0.243638\pi\)
\(192\) −53.7147 + 7.80292i −0.279764 + 0.0406402i
\(193\) −5.36368 + 167.259i −0.0277911 + 0.866629i 0.886777 + 0.462197i \(0.152939\pi\)
−0.914568 + 0.404432i \(0.867469\pi\)
\(194\) 83.1918 + 339.322i 0.428824 + 1.74908i
\(195\) 1.39284 86.8902i 0.00714277 0.445591i
\(196\) 151.174i 0.771296i
\(197\) 194.879 + 28.8329i 0.989231 + 0.146360i
\(198\) −119.515 −0.603613
\(199\) 207.979 + 3.33389i 1.04512 + 0.0167532i 0.536225 0.844075i \(-0.319850\pi\)
0.508896 + 0.860828i \(0.330054\pi\)
\(200\) −48.5661 + 11.9070i −0.242830 + 0.0595348i
\(201\) 46.9260 + 1.50483i 0.233463 + 0.00748670i
\(202\) −75.5226 519.892i −0.373874 2.57372i
\(203\) −28.0056 + 6.39210i −0.137959 + 0.0314882i
\(204\) 15.4153 15.9176i 0.0755654 0.0780275i
\(205\) 341.791 + 16.4479i 1.66727 + 0.0802336i
\(206\) 358.224 186.885i 1.73895 0.907209i
\(207\) −5.44436 42.2254i −0.0263012 0.203987i
\(208\) 194.555 + 97.5648i 0.935362 + 0.469061i
\(209\) 133.802 28.2912i 0.640203 0.135364i
\(210\) −256.801 108.790i −1.22286 0.518046i
\(211\) −273.468 + 273.468i −1.29606 + 1.29606i −0.365083 + 0.930975i \(0.618960\pi\)
−0.930975 + 0.365083i \(0.881040\pi\)
\(212\) −145.357 359.035i −0.685648 1.69356i
\(213\) −55.8719 3.58710i −0.262309 0.0168408i
\(214\) −264.138 + 178.026i −1.23429 + 0.831898i
\(215\) −146.447 + 73.4396i −0.681148 + 0.341579i
\(216\) 364.992 291.071i 1.68978 1.34755i
\(217\) −50.8402 451.219i −0.234286 2.07935i
\(218\) −288.072 + 492.855i −1.32143 + 2.26080i
\(219\) 184.284 + 96.1408i 0.841479 + 0.438999i
\(220\) −98.2027 + 266.848i −0.446376 + 1.21295i
\(221\) 11.0800 2.15783i 0.0501358 0.00976395i
\(222\) 181.737 53.9386i 0.818635 0.242967i
\(223\) −138.253 61.2007i −0.619971 0.274443i 0.0708293 0.997488i \(-0.477435\pi\)
−0.690800 + 0.723046i \(0.742742\pi\)
\(224\) 120.440 105.908i 0.537678 0.472803i
\(225\) −10.4245 + 10.0956i −0.0463313 + 0.0448693i
\(226\) 267.449 + 174.090i 1.18340 + 0.770311i
\(227\) 145.569 + 376.811i 0.641273 + 1.65996i 0.746397 + 0.665501i \(0.231782\pi\)
−0.105124 + 0.994459i \(0.533524\pi\)
\(228\) −219.658 + 266.563i −0.963413 + 1.16914i
\(229\) 234.485 + 18.8326i 1.02395 + 0.0822384i 0.580666 0.814142i \(-0.302792\pi\)
0.443286 + 0.896380i \(0.353813\pi\)
\(230\) −144.470 32.9743i −0.628129 0.143366i
\(231\) 98.4825 64.1050i 0.426331 0.277511i
\(232\) −47.1258 34.0086i −0.203128 0.146589i
\(233\) −214.489 + 103.292i −0.920552 + 0.443315i −0.833268 0.552869i \(-0.813533\pi\)
−0.0872839 + 0.996183i \(0.527819\pi\)
\(234\) 153.455 9.85215i 0.655792 0.0421032i
\(235\) −210.938 + 162.755i −0.897607 + 0.692575i
\(236\) −31.2836 5.05769i −0.132558 0.0214309i
\(237\) −3.29160 34.1209i −0.0138886 0.143970i
\(238\) 6.92516 35.5593i 0.0290973 0.149409i
\(239\) −200.803 + 331.246i −0.840180 + 1.38597i 0.0809529 + 0.996718i \(0.474204\pi\)
−0.921133 + 0.389247i \(0.872735\pi\)
\(240\) −73.0317 219.960i −0.304299 0.916499i
\(241\) −307.988 167.011i −1.27796 0.692992i −0.311607 0.950211i \(-0.600867\pi\)
−0.966353 + 0.257219i \(0.917194\pi\)
\(242\) 149.179 + 206.717i 0.616441 + 0.854203i
\(243\) 80.6919 208.874i 0.332065 0.859565i
\(244\) 306.030 + 543.386i 1.25422 + 2.22699i
\(245\) −80.7366 + 14.3843i −0.329537 + 0.0587116i
\(246\) −17.0742 532.438i −0.0694075 2.16438i
\(247\) −169.467 + 47.3552i −0.686103 + 0.191721i
\(248\) 617.604 680.051i 2.49034 2.74214i
\(249\) −241.185 111.422i −0.968615 0.447479i
\(250\) 189.079 + 427.134i 0.756318 + 1.70854i
\(251\) −356.542 + 303.529i −1.42049 + 1.20928i −0.476554 + 0.879145i \(0.658114\pi\)
−0.943934 + 0.330134i \(0.892906\pi\)
\(252\) 106.296 320.147i 0.421810 1.27043i
\(253\) 45.5413 42.7112i 0.180005 0.168819i
\(254\) −522.272 + 676.887i −2.05619 + 2.66491i
\(255\) −9.96779 6.71820i −0.0390894 0.0263459i
\(256\) −504.034 64.9880i −1.96888 0.253859i
\(257\) 11.7867 + 32.0284i 0.0458628 + 0.124624i 0.959329 0.282291i \(-0.0910944\pi\)
−0.913466 + 0.406915i \(0.866605\pi\)
\(258\) 132.215 + 218.102i 0.512461 + 0.845357i
\(259\) 137.331 161.317i 0.530235 0.622844i
\(260\) 104.093 350.723i 0.400357 1.34893i
\(261\) −16.7878 1.61950i −0.0643212 0.00620498i
\(262\) −29.0295 + 110.702i −0.110800 + 0.422527i
\(263\) 85.8031 + 21.0364i 0.326248 + 0.0799862i 0.397860 0.917446i \(-0.369753\pi\)
−0.0716120 + 0.997433i \(0.522814\pi\)
\(264\) 228.962 + 63.9801i 0.867280 + 0.242349i
\(265\) −177.917 + 111.793i −0.671384 + 0.421859i
\(266\) −63.2274 + 561.158i −0.237697 + 2.10962i
\(267\) −9.98143 7.44933i −0.0373836 0.0279001i
\(268\) 188.559 + 59.2680i 0.703580 + 0.221149i
\(269\) −80.6641 + 37.2651i −0.299866 + 0.138532i −0.563561 0.826074i \(-0.690569\pi\)
0.263695 + 0.964606i \(0.415059\pi\)
\(270\) −354.119 311.392i −1.31155 1.15330i
\(271\) 206.109 9.91850i 0.760549 0.0365996i 0.335827 0.941924i \(-0.390984\pi\)
0.424722 + 0.905324i \(0.360372\pi\)
\(272\) 25.9915 15.1919i 0.0955570 0.0558527i
\(273\) −121.165 + 90.4279i −0.443828 + 0.331238i
\(274\) 301.062 105.346i 1.09877 0.384475i
\(275\) −20.9516 3.73281i −0.0761876 0.0135739i
\(276\) −22.6691 + 156.052i −0.0821342 + 0.565406i
\(277\) −29.1543 363.001i −0.105250 1.31047i −0.803795 0.594907i \(-0.797189\pi\)
0.698545 0.715567i \(-0.253831\pi\)
\(278\) −76.1519 + 109.169i −0.273928 + 0.392696i
\(279\) 55.1505 260.833i 0.197672 0.934885i
\(280\) −492.989 393.145i −1.76067 1.40409i
\(281\) 35.8850 57.1107i 0.127705 0.203241i −0.776752 0.629807i \(-0.783134\pi\)
0.904456 + 0.426566i \(0.140277\pi\)
\(282\) 278.852 + 307.047i 0.988836 + 1.08882i
\(283\) −9.76941 31.0811i −0.0345209 0.109827i 0.935142 0.354273i \(-0.115272\pi\)
−0.969663 + 0.244446i \(0.921394\pi\)
\(284\) −222.472 77.8462i −0.783351 0.274106i
\(285\) 163.262 + 91.9477i 0.572850 + 0.322623i
\(286\) 143.408 + 174.031i 0.501426 + 0.608499i
\(287\) −340.598 488.272i −1.18675 1.70130i
\(288\) 86.7051 36.7313i 0.301059 0.127539i
\(289\) −107.866 + 266.432i −0.373240 + 0.921909i
\(290\) −25.4701 + 52.8891i −0.0878278 + 0.182376i
\(291\) −96.1395 177.293i −0.330376 0.609253i
\(292\) 638.263 + 598.599i 2.18583 + 2.05000i
\(293\) 326.047 52.7127i 1.11279 0.179907i 0.424558 0.905401i \(-0.360429\pi\)
0.688229 + 0.725494i \(0.258389\pi\)
\(294\) 32.3838 + 123.494i 0.110149 + 0.420046i
\(295\) 0.275533 + 17.1887i 0.000934009 + 0.0582667i
\(296\) 428.553 6.86966i 1.44781 0.0232083i
\(297\) 192.186 50.3972i 0.647092 0.169688i
\(298\) −11.5562 71.4791i −0.0387792 0.239863i
\(299\) −54.9532 + 58.5944i −0.183790 + 0.195968i
\(300\) 47.2494 25.6217i 0.157498 0.0854055i
\(301\) 256.801 + 123.669i 0.853158 + 0.410859i
\(302\) 231.810 + 93.8493i 0.767581 + 0.310759i
\(303\) 118.297 + 279.244i 0.390421 + 0.921598i
\(304\) −384.895 + 268.486i −1.26610 + 0.883178i
\(305\) 261.084 215.143i 0.856013 0.705386i
\(306\) 10.4376 18.5330i 0.0341098 0.0605654i
\(307\) −138.565 + 395.996i −0.451351 + 1.28989i 0.463500 + 0.886097i \(0.346593\pi\)
−0.914851 + 0.403791i \(0.867692\pi\)
\(308\) 471.933 148.338i 1.53225 0.481617i
\(309\) −172.664 + 156.808i −0.558782 + 0.507471i
\(310\) −785.692 493.683i −2.53449 1.59252i
\(311\) 55.8523 70.0365i 0.179589 0.225198i −0.683886 0.729589i \(-0.739712\pi\)
0.863475 + 0.504391i \(0.168283\pi\)
\(312\) −299.257 63.2748i −0.959156 0.202804i
\(313\) −55.6324 38.8067i −0.177739 0.123983i 0.479879 0.877335i \(-0.340681\pi\)
−0.657618 + 0.753352i \(0.728436\pi\)
\(314\) −1010.65 + 81.1699i −3.21863 + 0.258503i
\(315\) −181.093 26.3066i −0.574899 0.0835132i
\(316\) 25.3125 142.074i 0.0801029 0.449602i
\(317\) −43.6137 124.641i −0.137583 0.393189i 0.854391 0.519630i \(-0.173930\pi\)
−0.991974 + 0.126441i \(0.959645\pi\)
\(318\) 195.653 + 262.157i 0.615260 + 0.824393i
\(319\) −12.4811 21.3535i −0.0391256 0.0669390i
\(320\) 5.95832 + 123.815i 0.0186198 + 0.386923i
\(321\) 121.424 138.085i 0.378268 0.430171i
\(322\) 108.122 + 234.041i 0.335783 + 0.726836i
\(323\) −7.29827 + 23.2192i −0.0225953 + 0.0718861i
\(324\) −77.4530 + 103.780i −0.239053 + 0.320309i
\(325\) 27.2091 + 3.06573i 0.0837203 + 0.00943301i
\(326\) −379.584 604.104i −1.16437 1.85308i
\(327\) 88.6892 317.387i 0.271221 0.970602i
\(328\) 286.794 1169.77i 0.874371 3.56638i
\(329\) 448.367 + 117.576i 1.36282 + 0.357373i
\(330\) 23.0584 239.024i 0.0698738 0.724315i
\(331\) 53.1701 + 15.7806i 0.160635 + 0.0476756i 0.363845 0.931460i \(-0.381464\pi\)
−0.203210 + 0.979135i \(0.565137\pi\)
\(332\) −851.659 725.028i −2.56524 2.18382i
\(333\) 106.368 64.4810i 0.319424 0.193637i
\(334\) 987.925 363.566i 2.95786 1.08852i
\(335\) 13.7113 106.342i 0.0409292 0.317439i
\(336\) −225.361 + 334.368i −0.670716 + 0.995142i
\(337\) 303.464 + 234.147i 0.900486 + 0.694797i 0.952724 0.303838i \(-0.0982681\pi\)
−0.0522381 + 0.998635i \(0.516635\pi\)
\(338\) 212.549 + 226.633i 0.628843 + 0.670511i
\(339\) −174.833 58.0484i −0.515730 0.171234i
\(340\) −32.8034 38.5327i −0.0964805 0.113331i
\(341\) 357.506 158.257i 1.04840 0.464097i
\(342\) −139.051 + 300.989i −0.406581 + 0.880086i
\(343\) −190.175 172.712i −0.554446 0.503533i
\(344\) 155.189 + 555.367i 0.451131 + 1.61444i
\(345\) 85.4987 2.74178i 0.247822 0.00794718i
\(346\) −3.43560 19.2834i −0.00992948 0.0557323i
\(347\) −191.611 + 107.914i −0.552194 + 0.310990i −0.741527 0.670923i \(-0.765898\pi\)
0.189333 + 0.981913i \(0.439368\pi\)
\(348\) 58.2708 + 22.5111i 0.167445 + 0.0646870i
\(349\) −22.5104 + 16.2448i −0.0644998 + 0.0465467i −0.616976 0.786982i \(-0.711642\pi\)
0.552476 + 0.833529i \(0.313683\pi\)
\(350\) 41.8891 77.2486i 0.119683 0.220710i
\(351\) −242.609 + 80.5517i −0.691194 + 0.229492i
\(352\) 118.088 + 71.5859i 0.335478 + 0.203369i
\(353\) 614.059 + 119.588i 1.73954 + 0.338776i 0.958368 0.285536i \(-0.0921717\pi\)
0.781175 + 0.624312i \(0.214621\pi\)
\(354\) 26.6389 2.56982i 0.0752511 0.00725938i
\(355\) −20.4065 + 126.221i −0.0574830 + 0.355553i
\(356\) −32.0303 41.5126i −0.0899727 0.116608i
\(357\) 1.33990 + 20.8700i 0.00375321 + 0.0584593i
\(358\) −123.720 256.907i −0.345586 0.717616i
\(359\) −89.7283 + 124.337i −0.249939 + 0.346342i −0.917160 0.398518i \(-0.869525\pi\)
0.667221 + 0.744860i \(0.267484\pi\)
\(360\) −201.966 310.275i −0.561018 0.861874i
\(361\) 4.09394 17.9367i 0.0113405 0.0496862i
\(362\) −17.6327 + 219.545i −0.0487091 + 0.606478i
\(363\) −113.569 93.5850i −0.312862 0.257810i
\(364\) −593.724 + 229.366i −1.63111 + 0.630128i
\(365\) 258.959 397.830i 0.709476 1.08995i
\(366\) −366.396 378.334i −1.00108 1.03370i
\(367\) 443.483 + 504.335i 1.20840 + 1.37421i 0.907228 + 0.420640i \(0.138194\pi\)
0.301173 + 0.953570i \(0.402622\pi\)
\(368\) −86.7229 + 195.909i −0.235660 + 0.532360i
\(369\) −99.4521 335.087i −0.269518 0.908096i
\(370\) −82.7594 424.952i −0.223674 1.14852i
\(371\) 343.075 + 126.255i 0.924730 + 0.340309i
\(372\) −456.728 + 875.463i −1.22776 + 2.35339i
\(373\) 319.294 + 186.626i 0.856017 + 0.500339i 0.866251 0.499609i \(-0.166523\pi\)
−0.0102338 + 0.999948i \(0.503258\pi\)
\(374\) 30.9964 3.49245i 0.0828780 0.00933811i
\(375\) −168.124 210.821i −0.448331 0.562189i
\(376\) 420.371 + 838.268i 1.11801 + 2.22944i
\(377\) 17.7857 + 26.3886i 0.0471769 + 0.0699964i
\(378\) −52.5634 + 818.718i −0.139057 + 2.16592i
\(379\) −463.685 + 187.725i −1.22344 + 0.495317i −0.893662 0.448741i \(-0.851873\pi\)
−0.329780 + 0.944058i \(0.606975\pi\)
\(380\) 557.781 + 557.781i 1.46785 + 1.46785i
\(381\) 192.517 454.442i 0.505294 1.19276i
\(382\) 144.691 + 684.311i 0.378772 + 1.79139i
\(383\) 79.0549 157.645i 0.206410 0.411604i −0.766681 0.642029i \(-0.778093\pi\)
0.973090 + 0.230424i \(0.0740114\pi\)
\(384\) 351.530 45.3247i 0.915442 0.118033i
\(385\) −124.127 237.928i −0.322407 0.617994i
\(386\) 28.5982 594.277i 0.0740887 1.53958i
\(387\) 120.214 + 116.421i 0.310630 + 0.300829i
\(388\) −188.933 827.768i −0.486940 2.13342i
\(389\) −88.4244 + 12.8450i −0.227312 + 0.0330207i −0.256462 0.966554i \(-0.582557\pi\)
0.0291497 + 0.999575i \(0.490720\pi\)
\(390\) −9.90270 + 308.803i −0.0253915 + 0.791802i
\(391\) 2.64590 + 10.7921i 0.00676700 + 0.0276012i
\(392\) −4.62643 + 288.612i −0.0118021 + 0.736255i
\(393\) 66.0657i 0.168106i
\(394\) −691.122 113.602i −1.75412 0.288329i
\(395\) −78.2852 −0.198190
\(396\) 290.413 + 4.65530i 0.733367 + 0.0117558i
\(397\) −493.197 + 120.917i −1.24231 + 0.304578i −0.804208 0.594348i \(-0.797410\pi\)
−0.438102 + 0.898925i \(0.644349\pi\)
\(398\) −739.146 23.7030i −1.85715 0.0595552i
\(399\) −46.8633 322.603i −0.117452 0.808530i
\(400\) 71.1953 16.2499i 0.177988 0.0406246i
\(401\) −536.745 + 554.234i −1.33852 + 1.38213i −0.473158 + 0.880978i \(0.656886\pi\)
−0.865360 + 0.501151i \(0.832910\pi\)
\(402\) −166.730 8.02348i −0.414750 0.0199589i
\(403\) −445.984 + 232.670i −1.10666 + 0.577344i
\(404\) 163.264 + 1266.24i 0.404118 + 3.13426i
\(405\) 62.7948 + 31.4901i 0.155049 + 0.0777533i
\(406\) 99.9203 21.1271i 0.246109 0.0520373i
\(407\) 167.962 + 71.1545i 0.412683 + 0.174827i
\(408\) −29.9171 + 29.9171i −0.0733263 + 0.0733263i
\(409\) −90.8714 224.454i −0.222179 0.548787i 0.774282 0.632841i \(-0.218111\pi\)
−0.996461 + 0.0840535i \(0.973213\pi\)
\(410\) −1214.08 77.9465i −2.96117 0.190113i
\(411\) −152.684 + 102.908i −0.371495 + 0.250384i
\(412\) −877.736 + 440.163i −2.13043 + 1.06836i
\(413\) 23.3833 18.6475i 0.0566181 0.0451514i
\(414\) 16.9477 + 150.415i 0.0409366 + 0.363322i
\(415\) −306.175 + 523.827i −0.737771 + 1.26223i
\(416\) −157.524 82.1803i −0.378664 0.197549i
\(417\) 26.5371 72.1098i 0.0636381 0.172925i
\(418\) −477.260 + 92.9465i −1.14177 + 0.222360i
\(419\) 3.77909 1.12161i 0.00901931 0.00267688i −0.280015 0.959996i \(-0.590339\pi\)
0.289034 + 0.957319i \(0.406666\pi\)
\(420\) 619.769 + 274.353i 1.47564 + 0.653222i
\(421\) 383.012 336.798i 0.909767 0.799996i −0.0705337 0.997509i \(-0.522470\pi\)
0.980300 + 0.197513i \(0.0632865\pi\)
\(422\) 987.724 956.557i 2.34058 2.26672i
\(423\) 228.085 + 148.467i 0.539208 + 0.350986i
\(424\) 266.519 + 689.896i 0.628584 + 1.62711i
\(425\) 2.40860 2.92292i 0.00566729 0.00687747i
\(426\) 198.412 + 15.9354i 0.465756 + 0.0374071i
\(427\) −573.822 130.971i −1.34385 0.306724i
\(428\) 648.769 422.302i 1.51581 0.986686i
\(429\) −105.560 76.1783i −0.246061 0.177572i
\(430\) 524.783 252.722i 1.22042 0.587726i
\(431\) 129.967 8.34418i 0.301548 0.0193601i 0.0874395 0.996170i \(-0.472132\pi\)
0.214109 + 0.976810i \(0.431315\pi\)
\(432\) −539.777 + 416.481i −1.24948 + 0.964076i
\(433\) −12.8183 2.07237i −0.0296035 0.00478607i 0.144780 0.989464i \(-0.453752\pi\)
−0.174384 + 0.984678i \(0.555793\pi\)
\(434\) 155.017 + 1606.92i 0.357183 + 3.70257i
\(435\) 6.47782 33.2623i 0.0148915 0.0764650i
\(436\) 719.191 1186.38i 1.64952 2.72106i
\(437\) −54.5794 164.384i −0.124896 0.376166i
\(438\) −649.624 352.268i −1.48316 0.804265i
\(439\) 388.032 + 537.696i 0.883899 + 1.22482i 0.973464 + 0.228839i \(0.0734930\pi\)
−0.0895654 + 0.995981i \(0.528548\pi\)
\(440\) 195.649 506.445i 0.444657 1.15101i
\(441\) 41.1069 + 72.9895i 0.0932129 + 0.165509i
\(442\) −39.5108 + 7.03940i −0.0893910 + 0.0159262i
\(443\) 4.18576 + 130.527i 0.00944867 + 0.294644i 0.993293 + 0.115621i \(0.0368857\pi\)
−0.983845 + 0.179024i \(0.942706\pi\)
\(444\) −443.708 + 123.988i −0.999342 + 0.279252i
\(445\) −19.1226 + 21.0562i −0.0429722 + 0.0473172i
\(446\) 487.984 + 225.438i 1.09413 + 0.505466i
\(447\) 16.9193 + 38.2211i 0.0378509 + 0.0855058i
\(448\) 164.214 139.797i 0.366549 0.312048i
\(449\) −42.8777 + 129.141i −0.0954959 + 0.287618i −0.985845 0.167660i \(-0.946379\pi\)
0.890349 + 0.455279i \(0.150460\pi\)
\(450\) 37.6330 35.2944i 0.0836289 0.0784319i
\(451\) 313.131 405.831i 0.694304 0.899847i
\(452\) −643.101 433.444i −1.42279 0.958946i
\(453\) −143.182 18.4613i −0.316075 0.0407534i
\(454\) −496.004 1347.80i −1.09252 2.96873i
\(455\) 178.990 + 295.262i 0.393384 + 0.648928i
\(456\) 427.515 502.184i 0.937533 1.10128i
\(457\) 16.1559 54.4345i 0.0353520 0.119113i −0.939140 0.343534i \(-0.888376\pi\)
0.974492 + 0.224422i \(0.0720493\pi\)
\(458\) −832.487 80.3090i −1.81766 0.175347i
\(459\) −8.96916 + 34.2033i −0.0195407 + 0.0745170i
\(460\) 349.766 + 85.7523i 0.760361 + 0.186418i
\(461\) −204.497 57.1436i −0.443594 0.123956i 0.0400951 0.999196i \(-0.487234\pi\)
−0.483689 + 0.875240i \(0.660703\pi\)
\(462\) −353.744 + 222.272i −0.765680 + 0.481109i
\(463\) 29.0625 257.936i 0.0627699 0.557098i −0.922488 0.386025i \(-0.873848\pi\)
0.985258 0.171073i \(-0.0547235\pi\)
\(464\) 68.0174 + 50.7627i 0.146589 + 0.109402i
\(465\) 511.011 + 160.621i 1.09895 + 0.345421i
\(466\) 768.362 354.967i 1.64885 0.761731i
\(467\) −378.066 332.449i −0.809563 0.711883i 0.151426 0.988469i \(-0.451613\pi\)
−0.960989 + 0.276585i \(0.910797\pi\)
\(468\) −373.268 + 17.9627i −0.797582 + 0.0383818i
\(469\) −161.051 + 94.1335i −0.343392 + 0.200711i
\(470\) 759.127 566.551i 1.61516 1.20543i
\(471\) 552.451 193.311i 1.17293 0.410426i
\(472\) 59.5699 + 10.6132i 0.126207 + 0.0224856i
\(473\) −35.2801 + 242.866i −0.0745879 + 0.513458i
\(474\) 9.75682 + 121.482i 0.0205840 + 0.256292i
\(475\) −33.7770 + 48.4219i −0.0711094 + 0.101941i
\(476\) −18.2127 + 86.1366i −0.0382620 + 0.180959i
\(477\) 167.809 + 133.823i 0.351801 + 0.280552i
\(478\) 732.702 1166.09i 1.53285 2.43952i
\(479\) −351.398 386.929i −0.733608 0.807784i 0.253585 0.967313i \(-0.418390\pi\)
−0.987193 + 0.159529i \(0.949002\pi\)
\(480\) 56.7323 + 180.492i 0.118192 + 0.376025i
\(481\) −221.525 77.5151i −0.460552 0.161154i
\(482\) 1085.34 + 611.251i 2.25174 + 1.26815i
\(483\) −94.6442 114.854i −0.195951 0.237794i
\(484\) −354.441 508.118i −0.732316 1.04983i
\(485\) −424.104 + 179.665i −0.874440 + 0.370443i
\(486\) −298.751 + 737.920i −0.614713 + 1.51835i
\(487\) 340.825 707.731i 0.699846 1.45325i −0.182772 0.983155i \(-0.558507\pi\)
0.882618 0.470091i \(-0.155779\pi\)
\(488\) −567.623 1046.76i −1.16316 2.14501i
\(489\) 300.413 + 281.744i 0.614341 + 0.576164i
\(490\) 287.827 46.5336i 0.587401 0.0949665i
\(491\) 97.0461 + 370.079i 0.197650 + 0.753725i 0.989686 + 0.143251i \(0.0457556\pi\)
−0.792036 + 0.610474i \(0.790979\pi\)
\(492\) 20.7499 + 1294.45i 0.0421746 + 2.63099i
\(493\) 4.40126 0.0705517i 0.00892750 0.000143107i
\(494\) 605.130 158.684i 1.22496 0.321222i
\(495\) −25.1468 155.542i −0.0508017 0.314226i
\(496\) −917.749 + 978.560i −1.85030 + 1.97290i
\(497\) 195.548 106.039i 0.393457 0.213358i
\(498\) 851.029 + 409.834i 1.70889 + 0.822960i
\(499\) −83.1874 33.6789i −0.166708 0.0674927i 0.290392 0.956908i \(-0.406214\pi\)
−0.457101 + 0.889415i \(0.651112\pi\)
\(500\) −442.811 1045.27i −0.885623 2.09054i
\(501\) −498.412 + 347.670i −0.994834 + 0.693953i
\(502\) 1284.75 1058.68i 2.55927 2.10893i
\(503\) 144.139 255.933i 0.286558 0.508814i −0.690072 0.723741i \(-0.742421\pi\)
0.976630 + 0.214928i \(0.0689516\pi\)
\(504\) −212.732 + 607.952i −0.422087 + 1.20625i
\(505\) 660.718 207.677i 1.30835 0.411242i
\(506\) −164.327 + 149.237i −0.324756 + 0.294935i
\(507\) −151.870 95.4265i −0.299547 0.188218i
\(508\) 1295.45 1624.44i 2.55009 3.19772i
\(509\) −346.899 73.3483i −0.681531 0.144103i −0.146852 0.989158i \(-0.546914\pi\)
−0.534678 + 0.845056i \(0.679567\pi\)
\(510\) 35.0512 + 24.4502i 0.0687279 + 0.0479416i
\(511\) −823.202 + 66.1152i −1.61096 + 0.129384i
\(512\) 1104.45 + 160.439i 2.15713 + 0.313358i
\(513\) 96.6789 542.640i 0.188458 1.05778i
\(514\) −40.0750 114.528i −0.0779670 0.222817i
\(515\) 318.593 + 426.885i 0.618626 + 0.828903i
\(516\) −312.777 535.122i −0.606156 1.03706i
\(517\) 19.1839 + 398.645i 0.0371061 + 0.771073i
\(518\) −497.384 + 565.632i −0.960200 + 1.09195i
\(519\) 4.74201 + 10.2646i 0.00913683 + 0.0197776i
\(520\) −209.461 + 666.393i −0.402809 + 1.28152i
\(521\) −66.8809 + 89.6143i −0.128370 + 0.172004i −0.860971 0.508654i \(-0.830143\pi\)
0.732601 + 0.680659i \(0.238306\pi\)
\(522\) 59.5860 + 6.71373i 0.114149 + 0.0128616i
\(523\) 47.8666 + 76.1793i 0.0915232 + 0.145658i 0.889348 0.457231i \(-0.151159\pi\)
−0.797825 + 0.602890i \(0.794016\pi\)
\(524\) 74.8516 267.867i 0.142847 0.511197i
\(525\) −12.0792 + 49.2685i −0.0230080 + 0.0938448i
\(526\) −303.819 79.6707i −0.577603 0.151465i
\(527\) −6.68131 + 69.2588i −0.0126780 + 0.131421i
\(528\) −332.834 98.7835i −0.630368 0.187090i
\(529\) 342.593 + 291.654i 0.647624 + 0.551330i
\(530\) 638.839 387.268i 1.20536 0.730694i
\(531\) 16.4795 6.06462i 0.0310349 0.0114211i
\(532\) 175.496 1361.11i 0.329879 2.55848i
\(533\) −368.599 + 546.891i −0.691556 + 1.02606i
\(534\) 35.0580 + 27.0501i 0.0656518 + 0.0506556i
\(535\) −287.267 306.301i −0.536947 0.572526i
\(536\) −358.172 118.921i −0.668231 0.221868i
\(537\) 106.702 + 125.338i 0.198700 + 0.233404i
\(538\) 288.873 127.875i 0.536938 0.237687i
\(539\) −51.5205 + 111.521i −0.0955853 + 0.206904i
\(540\) 848.353 + 770.452i 1.57102 + 1.42676i
\(541\) −105.628 378.005i −0.195246 0.698716i −0.995131 0.0985627i \(-0.968576\pi\)
0.799885 0.600154i \(-0.204894\pi\)
\(542\) −733.252 + 23.5140i −1.35286 + 0.0433837i
\(543\) −22.3014 125.174i −0.0410708 0.230523i
\(544\) −21.4137 + 12.0600i −0.0393634 + 0.0221690i
\(545\) −702.034 271.208i −1.28814 0.497630i
\(546\) 435.877 314.554i 0.798310 0.576105i
\(547\) −261.992 + 483.145i −0.478962 + 0.883263i 0.520604 + 0.853798i \(0.325707\pi\)
−0.999566 + 0.0294648i \(0.990620\pi\)
\(548\) −735.660 + 244.256i −1.34245 + 0.445723i
\(549\) −295.513 179.142i −0.538275 0.326305i
\(550\) 74.2671 + 14.4635i 0.135031 + 0.0262973i
\(551\) −68.2983 + 6.58865i −0.123953 + 0.0119576i
\(552\) 48.0541 297.231i 0.0870544 0.538462i
\(553\) 83.2011 + 107.832i 0.150454 + 0.194995i
\(554\) 82.9542 + 1292.08i 0.149737 + 2.33227i
\(555\) 108.436 + 225.171i 0.195381 + 0.405713i
\(556\) 189.296 262.307i 0.340460 0.471776i
\(557\) 63.1368 + 96.9951i 0.113352 + 0.174138i 0.890229 0.455514i \(-0.150544\pi\)
−0.776877 + 0.629652i \(0.783197\pi\)
\(558\) −210.915 + 924.081i −0.377985 + 1.65606i
\(559\) 25.2785 314.743i 0.0452208 0.563046i
\(560\) 710.663 + 585.613i 1.26904 + 1.04574i
\(561\) −16.7967 + 6.48886i −0.0299406 + 0.0115666i
\(562\) −130.820 + 200.975i −0.232777 + 0.357607i
\(563\) 629.750 + 650.269i 1.11856 + 1.15501i 0.986499 + 0.163765i \(0.0523639\pi\)
0.132062 + 0.991241i \(0.457840\pi\)
\(564\) −665.628 756.962i −1.18019 1.34213i
\(565\) −170.295 + 384.699i −0.301407 + 0.680884i
\(566\) 32.9577 + 111.046i 0.0582292 + 0.196194i
\(567\) −23.3627 119.963i −0.0412041 0.211574i
\(568\) 422.347 + 155.428i 0.743568 + 0.273640i
\(569\) 78.8972 151.231i 0.138659 0.265784i −0.807253 0.590205i \(-0.799047\pi\)
0.945913 + 0.324421i \(0.105169\pi\)
\(570\) −575.135 336.164i −1.00901 0.589762i
\(571\) −473.799 + 53.3844i −0.829771 + 0.0934928i −0.516625 0.856212i \(-0.672812\pi\)
−0.313147 + 0.949705i \(0.601383\pi\)
\(572\) −341.691 428.468i −0.597363 0.749069i
\(573\) −180.996 360.926i −0.315874 0.629888i
\(574\) 1182.95 + 1755.15i 2.06089 + 3.05775i
\(575\) −1.72690 + 26.8978i −0.00300330 + 0.0467788i
\(576\) 117.367 47.5165i 0.203761 0.0824939i
\(577\) −546.390 546.390i −0.946949 0.946949i 0.0517129 0.998662i \(-0.483532\pi\)
−0.998662 + 0.0517129i \(0.983532\pi\)
\(578\) 398.631 940.980i 0.689673 1.62799i
\(579\) 71.0493 + 336.026i 0.122710 + 0.580356i
\(580\) 63.9504 127.524i 0.110259 0.219870i
\(581\) 1046.93 134.987i 1.80195 0.232336i
\(582\) 331.659 + 635.728i 0.569861 + 1.09232i
\(583\) −15.1297 + 314.399i −0.0259515 + 0.539278i
\(584\) −1200.21 1162.34i −2.05516 1.99031i
\(585\) 45.1100 + 197.640i 0.0771111 + 0.337846i
\(586\) −1162.05 + 168.807i −1.98302 + 0.288066i
\(587\) 15.9677 497.933i 0.0272023 0.848267i −0.891431 0.453156i \(-0.850298\pi\)
0.918633 0.395111i \(-0.129294\pi\)
\(588\) −73.8800 301.341i −0.125646 0.512485i
\(589\) 17.3840 1084.47i 0.0295145 1.84121i
\(590\) 61.1189i 0.103591i
\(591\) 402.550 37.7650i 0.681134 0.0639002i
\(592\) −625.937 −1.05733
\(593\) 152.290 + 2.44119i 0.256813 + 0.00411668i 0.144302 0.989534i \(-0.453906\pi\)
0.112511 + 0.993650i \(0.464111\pi\)
\(594\) −686.067 + 168.203i −1.15500 + 0.283171i
\(595\) 47.7353 + 1.53078i 0.0802275 + 0.00257274i
\(596\) 25.2965 + 174.139i 0.0424437 + 0.292180i
\(597\) 416.202 94.9955i 0.697156 0.159121i
\(598\) 198.690 205.163i 0.332257 0.343082i
\(599\) 826.378 + 39.7676i 1.37960 + 0.0663899i 0.724562 0.689209i \(-0.242042\pi\)
0.655034 + 0.755599i \(0.272654\pi\)
\(600\) −90.9897 + 47.4693i −0.151650 + 0.0791154i
\(601\) 67.2742 + 521.765i 0.111937 + 0.868162i 0.947720 + 0.319102i \(0.103381\pi\)
−0.835783 + 0.549060i \(0.814986\pi\)
\(602\) −905.842 454.258i −1.50472 0.754581i
\(603\) −107.156 + 22.6570i −0.177704 + 0.0375738i
\(604\) −559.624 237.076i −0.926530 0.392510i
\(605\) −237.642 + 237.642i −0.392796 + 0.392796i
\(606\) −404.618 999.414i −0.667686 1.64920i
\(607\) −56.0876 3.60094i −0.0924013 0.00593236i 0.0178009 0.999842i \(-0.494334\pi\)
−0.110202 + 0.993909i \(0.535150\pi\)
\(608\) 317.674 214.109i 0.522489 0.352153i
\(609\) −52.7009 + 26.4282i −0.0865368 + 0.0433961i
\(610\) −940.375 + 749.924i −1.54160 + 1.22938i
\(611\) −57.4937 510.270i −0.0940977 0.835140i
\(612\) −26.0845 + 44.6273i −0.0426217 + 0.0729204i
\(613\) −1059.37 552.674i −1.72818 0.901589i −0.967655 0.252278i \(-0.918820\pi\)
−0.760523 0.649311i \(-0.775057\pi\)
\(614\) 515.144 1399.81i 0.838996 2.27982i
\(615\) 689.343 134.250i 1.12088 0.218292i
\(616\) −905.525 + 268.755i −1.47001 + 0.436291i
\(617\) 1013.04 + 448.445i 1.64189 + 0.726815i 0.999226 0.0393354i \(-0.0125241\pi\)
0.642661 + 0.766150i \(0.277830\pi\)
\(618\) 622.730 547.593i 1.00765 0.886072i
\(619\) 181.533 175.805i 0.293268 0.284014i −0.534401 0.845231i \(-0.679463\pi\)
0.827669 + 0.561217i \(0.189667\pi\)
\(620\) 1889.94 + 1230.22i 3.04829 + 1.98422i
\(621\) −90.6799 234.729i −0.146022 0.377985i
\(622\) −202.538 + 245.787i −0.325623 + 0.395156i
\(623\) 49.3267 + 3.96166i 0.0791761 + 0.00635901i
\(624\) 435.496 + 99.3990i 0.697910 + 0.159293i
\(625\) −452.599 + 294.609i −0.724158 + 0.471375i
\(626\) 195.554 + 141.122i 0.312386 + 0.225435i
\(627\) 252.888 121.784i 0.403330 0.194233i
\(628\) 2458.96 157.871i 3.91554 0.251386i
\(629\) −25.7024 + 19.8314i −0.0408623 + 0.0315285i
\(630\) 642.261 + 103.836i 1.01946 + 0.164819i
\(631\) 83.4960 + 865.523i 0.132323 + 1.37167i 0.787556 + 0.616243i \(0.211346\pi\)
−0.655233 + 0.755427i \(0.727430\pi\)
\(632\) −52.6730 + 270.465i −0.0833434 + 0.427951i
\(633\) −411.469 + 678.762i −0.650030 + 1.07229i
\(634\) 147.938 + 445.566i 0.233341 + 0.702785i
\(635\) −990.817 537.285i −1.56034 0.846118i
\(636\) −465.210 644.642i −0.731462 1.01359i
\(637\) 56.9580 147.438i 0.0894161 0.231457i
\(638\) 43.1516 + 76.6200i 0.0676357 + 0.120094i
\(639\) 128.581 22.9085i 0.201222 0.0358505i
\(640\) −25.9442 809.035i −0.0405378 1.26412i
\(641\) −992.585 + 277.363i −1.54850 + 0.432704i −0.934311 0.356459i \(-0.883984\pi\)
−0.614184 + 0.789163i \(0.710515\pi\)
\(642\) −439.513 + 483.953i −0.684600 + 0.753821i
\(643\) 845.910 + 390.792i 1.31557 + 0.607764i 0.946820 0.321765i \(-0.104276\pi\)
0.368749 + 0.929529i \(0.379786\pi\)
\(644\) −253.612 572.914i −0.393807 0.889618i
\(645\) −256.028 + 217.960i −0.396943 + 0.337922i
\(646\) 27.2674 82.1251i 0.0422096 0.127129i
\(647\) −505.200 + 473.805i −0.780835 + 0.732311i −0.968254 0.249969i \(-0.919580\pi\)
0.187419 + 0.982280i \(0.439988\pi\)
\(648\) 151.044 195.760i 0.233093 0.302099i
\(649\) 21.3543 + 14.3926i 0.0329034 + 0.0221766i
\(650\) −96.5498 12.4487i −0.148538 0.0191519i
\(651\) −321.856 874.587i −0.494403 1.34345i
\(652\) 898.829 + 1482.71i 1.37857 + 2.27410i
\(653\) 576.720 677.448i 0.883185 1.03744i −0.115839 0.993268i \(-0.536956\pi\)
0.999024 0.0441714i \(-0.0140648\pi\)
\(654\) −333.363 + 1123.21i −0.509730 + 1.71745i
\(655\) −150.180 14.4877i −0.229283 0.0221186i
\(656\) −446.160 + 1701.40i −0.680121 + 2.59360i
\(657\) −470.934 115.459i −0.716795 0.175737i
\(658\) −1587.18 443.514i −2.41213 0.674033i
\(659\) 335.968 211.103i 0.509815 0.320338i −0.252443 0.967612i \(-0.581234\pi\)
0.762257 + 0.647274i \(0.224091\pi\)
\(660\) −65.3404 + 579.912i −0.0990006 + 0.878655i
\(661\) 886.670 + 661.739i 1.34141 + 1.00112i 0.998082 + 0.0619020i \(0.0197166\pi\)
0.343325 + 0.939217i \(0.388447\pi\)
\(662\) −188.113 59.1277i −0.284159 0.0893168i
\(663\) 21.0317 9.71618i 0.0317220 0.0146549i
\(664\) 1603.75 + 1410.24i 2.41528 + 2.12386i
\(665\) −743.617 + 35.7849i −1.11822 + 0.0538118i
\(666\) −381.798 + 223.159i −0.573270 + 0.335074i
\(667\) −25.1045 + 18.7360i −0.0376379 + 0.0280899i
\(668\) −2414.75 + 844.956i −3.61489 + 1.26490i
\(669\) −305.496 54.4283i −0.456645 0.0813577i
\(670\) −54.8015 + 377.250i −0.0817933 + 0.563059i
\(671\) −40.5712 505.153i −0.0604638 0.752836i
\(672\) 188.320 269.970i 0.280238 0.401742i
\(673\) −227.575 + 1076.31i −0.338151 + 1.59928i 0.394649 + 0.918832i \(0.370866\pi\)
−0.732800 + 0.680444i \(0.761787\pi\)
\(674\) −1065.43 849.650i −1.58075 1.26061i
\(675\) −45.6328 + 72.6242i −0.0676041 + 0.107591i
\(676\) −507.650 558.979i −0.750962 0.826893i
\(677\) 141.815 + 451.179i 0.209475 + 0.666439i 0.998634 + 0.0522499i \(0.0166392\pi\)
−0.789159 + 0.614189i \(0.789483\pi\)
\(678\) 618.197 + 216.317i 0.911795 + 0.319051i
\(679\) 698.210 + 393.225i 1.02829 + 0.579123i
\(680\) 61.4469 + 74.5681i 0.0903631 + 0.109659i
\(681\) 474.319 + 679.972i 0.696504 + 0.998490i
\(682\) −1279.90 + 542.210i −1.87669 + 0.795029i
\(683\) −433.143 + 1069.87i −0.634178 + 1.56643i 0.178641 + 0.983914i \(0.442830\pi\)
−0.812819 + 0.582517i \(0.802068\pi\)
\(684\) 349.606 725.965i 0.511121 1.06135i
\(685\) 200.447 + 369.648i 0.292623 + 0.539632i
\(686\) 666.203 + 624.803i 0.971141 + 0.910791i
\(687\) 476.612 77.0549i 0.693758 0.112161i
\(688\) −213.609 814.584i −0.310478 1.18399i
\(689\) −6.49098 404.929i −0.00942087 0.587706i
\(690\) −304.092 + 4.87457i −0.440713 + 0.00706459i
\(691\) 678.431 177.905i 0.981810 0.257461i 0.272343 0.962200i \(-0.412201\pi\)
0.709466 + 0.704739i \(0.248936\pi\)
\(692\) 7.59713 + 46.9909i 0.0109785 + 0.0679060i
\(693\) −187.522 + 199.947i −0.270594 + 0.288524i
\(694\) 687.301 372.698i 0.990347 0.537029i
\(695\) −158.100 76.1371i −0.227483 0.109550i
\(696\) −110.558 44.7600i −0.158848 0.0643103i
\(697\) 35.5848 + 83.9989i 0.0510543 + 0.120515i
\(698\) 80.9471 56.4652i 0.115970 0.0808957i
\(699\) −377.069 + 310.719i −0.539441 + 0.444519i
\(700\) −104.796 + 186.077i −0.149709 + 0.265824i
\(701\) −277.700 + 793.620i −0.396148 + 1.13213i 0.557233 + 0.830356i \(0.311863\pi\)
−0.953381 + 0.301769i \(0.902423\pi\)
\(702\) 867.030 272.525i 1.23509 0.388212i
\(703\) 374.613 340.214i 0.532878 0.483945i
\(704\) 157.227 + 98.7923i 0.223334 + 0.140330i
\(705\) −340.931 + 427.513i −0.483589 + 0.606402i
\(706\) −2176.08 460.109i −3.08226 0.651713i
\(707\) −988.268 689.373i −1.39783 0.975068i
\(708\) −64.8306 + 5.20685i −0.0915686 + 0.00735430i
\(709\) −485.208 70.4841i −0.684355 0.0994134i −0.207287 0.978280i \(-0.566464\pi\)
−0.477067 + 0.878867i \(0.658300\pi\)
\(710\) 79.7346 447.535i 0.112302 0.630331i
\(711\) 26.4112 + 75.4789i 0.0371466 + 0.106159i
\(712\) 59.8798 + 80.2334i 0.0841008 + 0.112687i
\(713\) −249.869 427.495i −0.350448 0.599573i
\(714\) −3.57388 74.2661i −0.00500544 0.104014i
\(715\) −196.317 + 223.254i −0.274569 + 0.312243i
\(716\) 290.623 + 629.083i 0.405898 + 0.878607i
\(717\) −238.386 + 758.420i −0.332478 + 1.05777i
\(718\) 326.056 436.886i 0.454117 0.608476i
\(719\) 596.885 + 67.2528i 0.830160 + 0.0935366i 0.516809 0.856101i \(-0.327120\pi\)
0.313351 + 0.949637i \(0.398548\pi\)
\(720\) 287.650 + 457.793i 0.399514 + 0.635823i
\(721\) 249.404 892.529i 0.345914 1.23790i
\(722\) −15.5755 + 63.5291i −0.0215727 + 0.0879905i
\(723\) −695.545 182.393i −0.962027 0.252273i
\(724\) 51.3977 532.791i 0.0709914 0.735900i
\(725\) 10.2360 + 3.03799i 0.0141186 + 0.00419034i
\(726\) 398.388 + 339.153i 0.548744 + 0.467152i
\(727\) −395.531 + 239.774i −0.544060 + 0.329812i −0.763494 0.645815i \(-0.776518\pi\)
0.219434 + 0.975627i \(0.429579\pi\)
\(728\) 1140.52 419.722i 1.56665 0.576541i
\(729\) 76.0170 589.573i 0.104276 0.808742i
\(730\) −943.231 + 1399.47i −1.29210 + 1.91709i
\(731\) −34.5796 26.6809i −0.0473045 0.0364992i
\(732\) 875.578 + 933.595i 1.19615 + 1.27540i
\(733\) −900.500 298.987i −1.22851 0.407894i −0.374051 0.927408i \(-0.622032\pi\)
−0.854462 + 0.519514i \(0.826113\pi\)
\(734\) −1547.78 1818.11i −2.10869 2.47699i
\(735\) −153.906 + 68.1295i −0.209396 + 0.0926932i
\(736\) 73.3486 158.771i 0.0996584 0.215721i
\(737\) −118.902 107.984i −0.161332 0.146518i
\(738\) 334.443 + 1196.85i 0.453175 + 1.62175i
\(739\) 739.202 23.7048i 1.00027 0.0320768i 0.472387 0.881391i \(-0.343393\pi\)
0.527887 + 0.849315i \(0.322984\pi\)
\(740\) 184.547 + 1035.82i 0.249387 + 1.39976i
\(741\) −314.663 + 177.215i −0.424647 + 0.239157i
\(742\) −1212.39 468.367i −1.63395 0.631223i
\(743\) 25.4314 18.3527i 0.0342280 0.0247008i −0.567944 0.823067i \(-0.692261\pi\)
0.602172 + 0.798366i \(0.294302\pi\)
\(744\) 898.749 1657.40i 1.20800 2.22769i
\(745\) 90.5943 30.0794i 0.121603 0.0403750i
\(746\) −1124.41 681.625i −1.50725 0.913706i
\(747\) 608.344 + 118.475i 0.814382 + 0.158601i
\(748\) −75.4549 + 7.27904i −0.100876 + 0.00973134i
\(749\) −116.602 + 721.224i −0.155677 + 0.962916i
\(750\) 585.643 + 759.018i 0.780858 + 1.01202i
\(751\) 41.2025 + 641.763i 0.0548635 + 0.854544i 0.929282 + 0.369371i \(0.120427\pi\)
−0.874418 + 0.485173i \(0.838757\pi\)
\(752\) −594.208 1233.88i −0.790170 1.64080i
\(753\) −562.373 + 779.282i −0.746844 + 1.03490i
\(754\) −61.7218 94.8213i −0.0818592 0.125758i
\(755\) −73.3649 + 321.433i −0.0971721 + 0.425739i
\(756\) 159.615 1987.38i 0.211132 2.62880i
\(757\) 100.167 + 82.5412i 0.132321 + 0.109037i 0.699760 0.714378i \(-0.253290\pi\)
−0.567439 + 0.823415i \(0.692066\pi\)
\(758\) 1659.03 640.913i 2.18869 0.845532i
\(759\) 69.9059 107.394i 0.0921027 0.141494i
\(760\) −1047.81 1081.95i −1.37870 1.42362i
\(761\) 93.9086 + 106.794i 0.123402 + 0.140334i 0.809374 0.587294i \(-0.199807\pi\)
−0.685972 + 0.727628i \(0.740623\pi\)
\(762\) −710.267 + 1604.50i −0.932108 + 2.10565i
\(763\) 372.548 + 1255.24i 0.488268 + 1.64514i
\(764\) −324.933 1668.46i −0.425305 2.18385i
\(765\) 26.3158 + 9.68444i 0.0343997 + 0.0126594i
\(766\) −290.012 + 555.899i −0.378606 + 0.725716i