Properties

Label 175.4.x.a.103.19
Level $175$
Weight $4$
Character 175.103
Analytic conductor $10.325$
Analytic rank $0$
Dimension $928$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [175,4,Mod(3,175)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(175, base_ring=CyclotomicField(60))
 
chi = DirichletCharacter(H, H._module([21, 10]))
 
N = Newforms(chi, 4, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("175.3");
 
S:= CuspForms(chi, 4);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 175 = 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 175.x (of order \(60\), degree \(16\), 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: \(10.3253342510\)
Analytic rank: \(0\)
Dimension: \(928\)
Relative dimension: \(58\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 103.19
Character \(\chi\) \(=\) 175.103
Dual form 175.4.x.a.17.19

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.60067 - 0.136295i) q^{2} +(4.66596 + 5.76198i) q^{3} +(-1.21127 - 0.127309i) q^{4} +(1.25058 + 11.1102i) q^{5} +(-11.3493 - 15.6209i) q^{6} +(-1.27366 + 18.4764i) q^{7} +(23.7102 + 3.75532i) q^{8} +(-5.81561 + 27.3603i) q^{9} +(-1.73808 - 29.0644i) q^{10} +(-17.0160 + 3.61685i) q^{11} +(-4.91817 - 7.57332i) q^{12} +(19.8203 + 10.0990i) q^{13} +(5.83063 - 47.8775i) q^{14} +(-58.1814 + 59.0454i) q^{15} +(-51.6199 - 10.9721i) q^{16} +(40.0328 + 104.289i) q^{17} +(18.8536 - 70.3625i) q^{18} +(-10.2874 - 97.8778i) q^{19} +(-0.100358 - 13.6166i) q^{20} +(-112.404 + 78.8713i) q^{21} +(44.7458 - 7.08704i) q^{22} +(8.15245 - 155.558i) q^{23} +(88.9926 + 154.140i) q^{24} +(-121.872 + 27.7883i) q^{25} +(-50.1697 - 28.9655i) q^{26} +(-6.41822 + 3.27025i) q^{27} +(3.89497 - 22.2177i) q^{28} +(-6.80071 + 9.36037i) q^{29} +(159.358 - 145.628i) q^{30} +(-10.0475 + 22.5671i) q^{31} +(-52.7511 - 14.1346i) q^{32} +(-100.236 - 81.1695i) q^{33} +(-89.8979 - 276.677i) q^{34} +(-206.869 + 8.95561i) q^{35} +(10.5275 - 32.4003i) q^{36} +(-271.906 + 176.578i) q^{37} +(13.4138 + 255.950i) q^{38} +(34.2909 + 161.326i) q^{39} +(-12.0708 + 268.121i) q^{40} +(-277.574 + 90.1893i) q^{41} +(303.074 - 189.798i) q^{42} +(245.716 + 245.716i) q^{43} +(21.0713 - 2.21469i) q^{44} +(-311.251 - 30.3962i) q^{45} +(-42.4037 + 403.444i) q^{46} +(-181.708 - 69.7512i) q^{47} +(-177.635 - 348.628i) q^{48} +(-339.756 - 47.0655i) q^{49} +(320.737 - 55.6577i) q^{50} +(-414.119 + 717.276i) q^{51} +(-22.7221 - 14.7559i) q^{52} +(148.211 - 120.019i) q^{53} +(17.1374 - 7.63006i) q^{54} +(-61.4637 - 184.527i) q^{55} +(-99.5837 + 433.296i) q^{56} +(515.969 - 515.969i) q^{57} +(18.9622 - 23.4163i) q^{58} +(385.789 - 428.462i) q^{59} +(77.9904 - 64.1128i) q^{60} +(317.309 - 285.706i) q^{61} +(29.2061 - 57.3202i) q^{62} +(-498.113 - 142.299i) q^{63} +(536.783 + 174.411i) q^{64} +(-87.4144 + 232.837i) q^{65} +(249.618 + 224.757i) q^{66} +(-84.7160 + 32.5194i) q^{67} +(-35.2135 - 131.418i) q^{68} +(934.361 - 678.853i) q^{69} +(539.219 + 4.90471i) q^{70} +(518.857 + 376.972i) q^{71} +(-240.636 + 626.878i) q^{72} +(137.754 - 212.122i) q^{73} +(731.206 - 422.162i) q^{74} +(-728.766 - 572.565i) q^{75} +119.866i q^{76} +(-45.1538 - 319.000i) q^{77} +(-67.1912 - 424.229i) q^{78} +(409.928 + 920.714i) q^{79} +(57.3477 - 587.228i) q^{80} +(641.148 + 285.458i) q^{81} +(734.171 - 196.721i) q^{82} +(35.9505 - 226.983i) q^{83} +(146.192 - 81.2243i) q^{84} +(-1108.60 + 575.193i) q^{85} +(-605.536 - 672.516i) q^{86} +(-85.6660 + 4.48957i) q^{87} +(-417.034 + 21.8558i) q^{88} +(378.752 + 420.646i) q^{89} +(805.318 + 121.473i) q^{90} +(-211.837 + 353.346i) q^{91} +(-29.6788 + 187.385i) q^{92} +(-176.913 + 47.4036i) q^{93} +(463.056 + 206.166i) q^{94} +(1074.57 - 236.699i) q^{95} +(-164.691 - 369.902i) q^{96} +(-20.7184 - 130.811i) q^{97} +(877.177 + 168.709i) q^{98} -486.596i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 928 q - 8 q^{2} - 24 q^{3} - 10 q^{4} - 24 q^{7} + 84 q^{8} - 10 q^{9} - 96 q^{10} - 6 q^{11} - 72 q^{12} - 20 q^{14} - 368 q^{15} - 1670 q^{16} + 120 q^{17} - 14 q^{18} - 30 q^{19} - 12 q^{21} - 880 q^{22}+ \cdots - 19478 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{7}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.60067 0.136295i −0.919476 0.0481877i −0.413278 0.910605i \(-0.635616\pi\)
−0.506198 + 0.862417i \(0.668949\pi\)
\(3\) 4.66596 + 5.76198i 0.897964 + 1.10889i 0.993541 + 0.113471i \(0.0361969\pi\)
−0.0955773 + 0.995422i \(0.530470\pi\)
\(4\) −1.21127 0.127309i −0.151409 0.0159137i
\(5\) 1.25058 + 11.1102i 0.111855 + 0.993725i
\(6\) −11.3493 15.6209i −0.772221 1.06287i
\(7\) −1.27366 + 18.4764i −0.0687714 + 0.997632i
\(8\) 23.7102 + 3.75532i 1.04785 + 0.165963i
\(9\) −5.81561 + 27.3603i −0.215393 + 1.01334i
\(10\) −1.73808 29.0644i −0.0549630 0.919095i
\(11\) −17.0160 + 3.61685i −0.466409 + 0.0991384i −0.435121 0.900372i \(-0.643294\pi\)
−0.0312884 + 0.999510i \(0.509961\pi\)
\(12\) −4.91817 7.57332i −0.118313 0.182186i
\(13\) 19.8203 + 10.0990i 0.422860 + 0.215458i 0.652453 0.757829i \(-0.273740\pi\)
−0.229594 + 0.973287i \(0.573740\pi\)
\(14\) 5.83063 47.8775i 0.111307 0.913985i
\(15\) −58.1814 + 59.0454i −1.00149 + 1.01636i
\(16\) −51.6199 10.9721i −0.806561 0.171440i
\(17\) 40.0328 + 104.289i 0.571140 + 1.48787i 0.849603 + 0.527423i \(0.176842\pi\)
−0.278463 + 0.960447i \(0.589825\pi\)
\(18\) 18.8536 70.3625i 0.246879 0.921366i
\(19\) −10.2874 97.8778i −0.124215 1.18183i −0.862042 0.506837i \(-0.830815\pi\)
0.737827 0.674990i \(-0.235852\pi\)
\(20\) −0.100358 13.6166i −0.00112204 0.152238i
\(21\) −112.404 + 78.8713i −1.16802 + 0.819578i
\(22\) 44.7458 7.08704i 0.433629 0.0686801i
\(23\) 8.15245 155.558i 0.0739089 1.41027i −0.670187 0.742192i \(-0.733786\pi\)
0.744096 0.668073i \(-0.232881\pi\)
\(24\) 88.9926 + 154.140i 0.756897 + 1.31098i
\(25\) −121.872 + 27.7883i −0.974977 + 0.222307i
\(26\) −50.1697 28.9655i −0.378427 0.218485i
\(27\) −6.41822 + 3.27025i −0.0457477 + 0.0233096i
\(28\) 3.89497 22.2177i 0.0262886 0.149956i
\(29\) −6.80071 + 9.36037i −0.0435469 + 0.0599371i −0.830235 0.557413i \(-0.811794\pi\)
0.786688 + 0.617350i \(0.211794\pi\)
\(30\) 159.358 145.628i 0.969824 0.886263i
\(31\) −10.0475 + 22.5671i −0.0582126 + 0.130748i −0.940310 0.340320i \(-0.889465\pi\)
0.882097 + 0.471068i \(0.156131\pi\)
\(32\) −52.7511 14.1346i −0.291412 0.0780835i
\(33\) −100.236 81.1695i −0.528753 0.428175i
\(34\) −89.8979 276.677i −0.453452 1.39558i
\(35\) −206.869 + 8.95561i −0.999064 + 0.0432507i
\(36\) 10.5275 32.4003i 0.0487384 0.150001i
\(37\) −271.906 + 176.578i −1.20814 + 0.784575i −0.981882 0.189493i \(-0.939316\pi\)
−0.226257 + 0.974068i \(0.572649\pi\)
\(38\) 13.4138 + 255.950i 0.0572632 + 1.09265i
\(39\) 34.2909 + 161.326i 0.140793 + 0.662379i
\(40\) −12.0708 + 268.121i −0.0477141 + 1.05984i
\(41\) −277.574 + 90.1893i −1.05731 + 0.343542i −0.785534 0.618818i \(-0.787612\pi\)
−0.271778 + 0.962360i \(0.587612\pi\)
\(42\) 303.074 189.798i 1.11346 0.697298i
\(43\) 245.716 + 245.716i 0.871426 + 0.871426i 0.992628 0.121202i \(-0.0386749\pi\)
−0.121202 + 0.992628i \(0.538675\pi\)
\(44\) 21.0713 2.21469i 0.0721960 0.00758811i
\(45\) −311.251 30.3962i −1.03108 0.100693i
\(46\) −42.4037 + 403.444i −0.135915 + 1.29314i
\(47\) −181.708 69.7512i −0.563933 0.216474i 0.0596656 0.998218i \(-0.480997\pi\)
−0.623598 + 0.781745i \(0.714330\pi\)
\(48\) −177.635 348.628i −0.534154 1.04834i
\(49\) −339.756 47.0655i −0.990541 0.137217i
\(50\) 320.737 55.6577i 0.907180 0.157424i
\(51\) −414.119 + 717.276i −1.13703 + 1.96939i
\(52\) −22.7221 14.7559i −0.0605958 0.0393514i
\(53\) 148.211 120.019i 0.384120 0.311055i −0.417739 0.908567i \(-0.637177\pi\)
0.801860 + 0.597512i \(0.203844\pi\)
\(54\) 17.1374 7.63006i 0.0431871 0.0192281i
\(55\) −61.4637 184.527i −0.150687 0.452393i
\(56\) −99.5837 + 433.296i −0.237633 + 1.03396i
\(57\) 515.969 515.969i 1.19898 1.19898i
\(58\) 18.9622 23.4163i 0.0429285 0.0530123i
\(59\) 385.789 428.462i 0.851278 0.945440i −0.147772 0.989021i \(-0.547210\pi\)
0.999050 + 0.0435817i \(0.0138769\pi\)
\(60\) 77.9904 64.1128i 0.167809 0.137949i
\(61\) 317.309 285.706i 0.666020 0.599687i −0.265179 0.964199i \(-0.585431\pi\)
0.931199 + 0.364512i \(0.118764\pi\)
\(62\) 29.2061 57.3202i 0.0598255 0.117414i
\(63\) −498.113 142.299i −0.996133 0.284572i
\(64\) 536.783 + 174.411i 1.04841 + 0.340647i
\(65\) −87.4144 + 232.837i −0.166807 + 0.444306i
\(66\) 249.618 + 224.757i 0.465542 + 0.419176i
\(67\) −84.7160 + 32.5194i −0.154473 + 0.0592967i −0.434376 0.900732i \(-0.643031\pi\)
0.279903 + 0.960028i \(0.409698\pi\)
\(68\) −35.2135 131.418i −0.0627979 0.234365i
\(69\) 934.361 678.853i 1.63020 1.18441i
\(70\) 539.219 + 4.90471i 0.920699 + 0.00837464i
\(71\) 518.857 + 376.972i 0.867281 + 0.630117i 0.929856 0.367923i \(-0.119931\pi\)
−0.0625746 + 0.998040i \(0.519931\pi\)
\(72\) −240.636 + 626.878i −0.393878 + 1.02609i
\(73\) 137.754 212.122i 0.220861 0.340097i −0.710820 0.703374i \(-0.751676\pi\)
0.931681 + 0.363278i \(0.118342\pi\)
\(74\) 731.206 422.162i 1.14866 0.663180i
\(75\) −728.766 572.565i −1.12201 0.881522i
\(76\) 119.866i 0.180915i
\(77\) −45.1538 319.000i −0.0668280 0.472123i
\(78\) −67.1912 424.229i −0.0975373 0.615826i
\(79\) 409.928 + 920.714i 0.583804 + 1.31125i 0.928081 + 0.372377i \(0.121457\pi\)
−0.344277 + 0.938868i \(0.611876\pi\)
\(80\) 57.3477 587.228i 0.0801458 0.820676i
\(81\) 641.148 + 285.458i 0.879490 + 0.391574i
\(82\) 734.171 196.721i 0.988727 0.264929i
\(83\) 35.9505 226.983i 0.0475431 0.300176i −0.952447 0.304706i \(-0.901442\pi\)
0.999990 + 0.00452998i \(0.00144194\pi\)
\(84\) 146.192 81.2243i 0.189891 0.105504i
\(85\) −1108.60 + 575.193i −1.41465 + 0.733982i
\(86\) −605.536 672.516i −0.759263 0.843247i
\(87\) −85.6660 + 4.48957i −0.105567 + 0.00553255i
\(88\) −417.034 + 21.8558i −0.505181 + 0.0264754i
\(89\) 378.752 + 420.646i 0.451097 + 0.500994i 0.925202 0.379474i \(-0.123895\pi\)
−0.474106 + 0.880468i \(0.657228\pi\)
\(90\) 805.318 + 121.473i 0.943199 + 0.142270i
\(91\) −211.837 + 353.346i −0.244028 + 0.407041i
\(92\) −29.6788 + 187.385i −0.0336329 + 0.212350i
\(93\) −176.913 + 47.4036i −0.197258 + 0.0528551i
\(94\) 463.056 + 206.166i 0.508091 + 0.226217i
\(95\) 1074.57 236.699i 1.16052 0.255629i
\(96\) −164.691 369.902i −0.175091 0.393260i
\(97\) −20.7184 130.811i −0.0216869 0.136926i 0.974469 0.224521i \(-0.0720818\pi\)
−0.996156 + 0.0875953i \(0.972082\pi\)
\(98\) 877.177 + 168.709i 0.904166 + 0.173900i
\(99\) 486.596i 0.493987i
\(100\) 151.158 18.1437i 0.151158 0.0181437i
\(101\) 562.645 324.843i 0.554309 0.320031i −0.196549 0.980494i \(-0.562973\pi\)
0.750858 + 0.660463i \(0.229640\pi\)
\(102\) 1174.75 1808.95i 1.14037 1.75601i
\(103\) −383.726 + 999.641i −0.367084 + 0.956287i 0.618300 + 0.785942i \(0.287822\pi\)
−0.985384 + 0.170345i \(0.945512\pi\)
\(104\) 432.019 + 313.880i 0.407336 + 0.295947i
\(105\) −1016.84 1150.19i −0.945084 1.06902i
\(106\) −401.807 + 291.930i −0.368178 + 0.267497i
\(107\) −408.845 1525.83i −0.369388 1.37858i −0.861373 0.507973i \(-0.830395\pi\)
0.491985 0.870604i \(-0.336272\pi\)
\(108\) 8.19053 3.14405i 0.00729753 0.00280126i
\(109\) 1287.05 + 1158.87i 1.13098 + 1.01834i 0.999635 + 0.0270066i \(0.00859751\pi\)
0.131349 + 0.991336i \(0.458069\pi\)
\(110\) 134.697 + 488.271i 0.116753 + 0.423226i
\(111\) −2286.14 742.813i −1.95487 0.635177i
\(112\) 268.472 939.775i 0.226502 0.792861i
\(113\) 316.002 620.189i 0.263070 0.516305i −0.721254 0.692670i \(-0.756434\pi\)
0.984325 + 0.176366i \(0.0564341\pi\)
\(114\) −1412.19 + 1271.54i −1.16021 + 1.04466i
\(115\) 1738.47 103.963i 1.40968 0.0843006i
\(116\) 9.42914 10.4721i 0.00754719 0.00838200i
\(117\) −391.578 + 483.559i −0.309414 + 0.382094i
\(118\) −1061.71 + 1061.71i −0.828288 + 0.828288i
\(119\) −1977.87 + 606.833i −1.52362 + 0.467465i
\(120\) −1601.23 + 1181.49i −1.21809 + 0.898788i
\(121\) −939.468 + 418.278i −0.705836 + 0.314259i
\(122\) −864.155 + 699.779i −0.641286 + 0.519303i
\(123\) −1814.82 1178.56i −1.33038 0.863958i
\(124\) 15.0433 26.0557i 0.0108946 0.0188699i
\(125\) −461.144 1319.27i −0.329968 0.943992i
\(126\) 1276.03 + 437.964i 0.902207 + 0.309659i
\(127\) 1291.70 + 2535.11i 0.902521 + 1.77130i 0.548824 + 0.835938i \(0.315076\pi\)
0.353697 + 0.935360i \(0.384924\pi\)
\(128\) −964.347 370.178i −0.665915 0.255621i
\(129\) −269.310 + 2562.31i −0.183809 + 1.74883i
\(130\) 259.071 593.618i 0.174785 0.400491i
\(131\) −103.881 + 10.9183i −0.0692832 + 0.00728195i −0.139107 0.990277i \(-0.544423\pi\)
0.0698234 + 0.997559i \(0.477756\pi\)
\(132\) 111.079 + 111.079i 0.0732438 + 0.0732438i
\(133\) 1821.53 65.4103i 1.18757 0.0426450i
\(134\) 224.750 73.0259i 0.144892 0.0470782i
\(135\) −44.3596 67.2179i −0.0282805 0.0428533i
\(136\) 557.545 + 2623.04i 0.351538 + 1.65385i
\(137\) 56.9778 + 1087.20i 0.0355324 + 0.677999i 0.957096 + 0.289771i \(0.0935793\pi\)
−0.921563 + 0.388228i \(0.873087\pi\)
\(138\) −2522.49 + 1638.12i −1.55600 + 1.01048i
\(139\) −772.143 + 2376.41i −0.471168 + 1.45011i 0.379889 + 0.925032i \(0.375962\pi\)
−0.851057 + 0.525074i \(0.824038\pi\)
\(140\) 251.714 + 15.4887i 0.151955 + 0.00935026i
\(141\) −445.937 1372.45i −0.266345 0.819727i
\(142\) −1298.00 1051.10i −0.767080 0.621169i
\(143\) −373.789 100.156i −0.218586 0.0585699i
\(144\) 600.402 1348.53i 0.347455 0.780397i
\(145\) −112.500 63.8512i −0.0644319 0.0365693i
\(146\) −387.164 + 532.885i −0.219465 + 0.302068i
\(147\) −1314.09 2177.27i −0.737311 1.22162i
\(148\) 351.832 179.267i 0.195408 0.0995654i
\(149\) −1918.87 1107.86i −1.05503 0.609123i −0.130978 0.991385i \(-0.541812\pi\)
−0.924054 + 0.382262i \(0.875145\pi\)
\(150\) 1817.24 + 1588.38i 0.989181 + 0.864605i
\(151\) −560.666 971.102i −0.302161 0.523359i 0.674464 0.738308i \(-0.264375\pi\)
−0.976625 + 0.214949i \(0.931041\pi\)
\(152\) 123.647 2359.33i 0.0659811 1.25899i
\(153\) −3086.19 + 488.805i −1.63074 + 0.258284i
\(154\) 73.9520 + 835.769i 0.0386962 + 0.437326i
\(155\) −263.290 83.4078i −0.136438 0.0432224i
\(156\) −20.9971 199.774i −0.0107764 0.102530i
\(157\) 47.1196 175.853i 0.0239526 0.0893923i −0.952915 0.303238i \(-0.901932\pi\)
0.976867 + 0.213846i \(0.0685990\pi\)
\(158\) −940.599 2450.34i −0.473608 1.23379i
\(159\) 1383.09 + 293.986i 0.689853 + 0.146633i
\(160\) 91.0686 603.751i 0.0449976 0.298317i
\(161\) 2863.77 + 348.757i 1.40184 + 0.170720i
\(162\) −1628.51 829.767i −0.789801 0.402424i
\(163\) 2036.42 + 3135.81i 0.978557 + 1.50685i 0.857684 + 0.514177i \(0.171903\pi\)
0.120873 + 0.992668i \(0.461431\pi\)
\(164\) 347.699 73.9057i 0.165553 0.0351894i
\(165\) 776.454 1215.15i 0.366345 0.573328i
\(166\) −124.432 + 585.407i −0.0581795 + 0.273713i
\(167\) 2753.75 + 436.150i 1.27600 + 0.202098i 0.757417 0.652932i \(-0.226461\pi\)
0.518579 + 0.855030i \(0.326461\pi\)
\(168\) −2961.29 + 1447.94i −1.35993 + 0.664947i
\(169\) −1000.51 1377.08i −0.455397 0.626800i
\(170\) 2961.51 1344.79i 1.33610 0.606710i
\(171\) 2737.79 + 287.754i 1.22435 + 0.128685i
\(172\) −266.346 328.910i −0.118074 0.145809i
\(173\) −2966.86 155.487i −1.30385 0.0683320i −0.612281 0.790640i \(-0.709748\pi\)
−0.691571 + 0.722308i \(0.743081\pi\)
\(174\) 223.401 0.0973332
\(175\) −358.205 2287.15i −0.154730 0.987957i
\(176\) 918.046 0.393184
\(177\) 4268.86 + 223.721i 1.81281 + 0.0950053i
\(178\) −927.676 1145.58i −0.390631 0.482389i
\(179\) −536.163 56.3530i −0.223881 0.0235308i −0.00807627 0.999967i \(-0.502571\pi\)
−0.215805 + 0.976437i \(0.569237\pi\)
\(180\) 373.138 + 76.4431i 0.154512 + 0.0316541i
\(181\) −1409.09 1939.45i −0.578657 0.796453i 0.414891 0.909871i \(-0.363820\pi\)
−0.993547 + 0.113419i \(0.963820\pi\)
\(182\) 599.078 890.064i 0.243992 0.362505i
\(183\) 3126.78 + 495.233i 1.26305 + 0.200048i
\(184\) 777.467 3657.69i 0.311498 1.46548i
\(185\) −2301.86 2800.10i −0.914788 1.11280i
\(186\) 466.552 99.1687i 0.183921 0.0390936i
\(187\) −1058.39 1629.78i −0.413890 0.637334i
\(188\) 211.217 + 107.621i 0.0819394 + 0.0417502i
\(189\) −52.2478 122.751i −0.0201083 0.0472424i
\(190\) −2826.87 + 469.115i −1.07938 + 0.179122i
\(191\) 78.0604 + 16.5923i 0.0295720 + 0.00628573i 0.222674 0.974893i \(-0.428521\pi\)
−0.193102 + 0.981179i \(0.561855\pi\)
\(192\) 1499.65 + 3906.73i 0.563688 + 1.46846i
\(193\) 175.801 656.097i 0.0655669 0.244699i −0.925362 0.379084i \(-0.876239\pi\)
0.990929 + 0.134385i \(0.0429059\pi\)
\(194\) 36.0527 + 343.019i 0.0133425 + 0.126945i
\(195\) −1749.47 + 582.728i −0.642474 + 0.214000i
\(196\) 405.543 + 100.263i 0.147793 + 0.0365390i
\(197\) −270.475 + 42.8390i −0.0978200 + 0.0154932i −0.205153 0.978730i \(-0.565769\pi\)
0.107333 + 0.994223i \(0.465769\pi\)
\(198\) −66.3207 + 1265.48i −0.0238041 + 0.454209i
\(199\) 1477.49 + 2559.08i 0.526312 + 0.911600i 0.999530 + 0.0306541i \(0.00975903\pi\)
−0.473218 + 0.880945i \(0.656908\pi\)
\(200\) −2993.96 + 201.197i −1.05853 + 0.0711340i
\(201\) −582.657 336.397i −0.204465 0.118048i
\(202\) −1507.53 + 768.124i −0.525095 + 0.267549i
\(203\) −164.284 137.575i −0.0568004 0.0475657i
\(204\) 592.926 816.092i 0.203496 0.280088i
\(205\) −1349.15 2971.11i −0.459652 1.01225i
\(206\) 1134.19 2547.44i 0.383606 0.861594i
\(207\) 4208.71 + 1127.72i 1.41317 + 0.378657i
\(208\) −912.317 738.779i −0.304124 0.246275i
\(209\) 529.059 + 1628.28i 0.175099 + 0.538901i
\(210\) 2487.71 + 3129.85i 0.817468 + 1.02848i
\(211\) −1370.92 + 4219.25i −0.447289 + 1.37661i 0.432665 + 0.901555i \(0.357573\pi\)
−0.879954 + 0.475059i \(0.842427\pi\)
\(212\) −194.803 + 126.507i −0.0631091 + 0.0409836i
\(213\) 248.862 + 4748.58i 0.0800552 + 1.52754i
\(214\) 855.308 + 4023.91i 0.273213 + 1.28537i
\(215\) −2422.66 + 3037.23i −0.768484 + 0.963431i
\(216\) −164.458 + 53.4356i −0.0518053 + 0.0168326i
\(217\) −404.162 214.385i −0.126435 0.0670664i
\(218\) −3189.25 3189.25i −0.990841 0.990841i
\(219\) 1865.00 196.019i 0.575456 0.0604829i
\(220\) 50.9570 + 231.337i 0.0156160 + 0.0708942i
\(221\) −259.748 + 2471.33i −0.0790611 + 0.752216i
\(222\) 5844.26 + 2243.40i 1.76685 + 0.678231i
\(223\) 2036.07 + 3996.00i 0.611413 + 1.19996i 0.964428 + 0.264347i \(0.0851565\pi\)
−0.353015 + 0.935618i \(0.614844\pi\)
\(224\) 328.344 956.649i 0.0979394 0.285352i
\(225\) −51.5366 3496.06i −0.0152701 1.03587i
\(226\) −906.346 + 1569.84i −0.266766 + 0.462053i
\(227\) −1992.17 1293.73i −0.582490 0.378273i 0.219499 0.975613i \(-0.429558\pi\)
−0.801988 + 0.597340i \(0.796224\pi\)
\(228\) −690.665 + 559.289i −0.200616 + 0.162455i
\(229\) 2771.38 1233.90i 0.799730 0.356063i 0.0341609 0.999416i \(-0.489124\pi\)
0.765569 + 0.643354i \(0.222457\pi\)
\(230\) −4535.37 + 33.4268i −1.30023 + 0.00958305i
\(231\) 1627.39 1748.62i 0.463525 0.498055i
\(232\) −196.397 + 196.397i −0.0555780 + 0.0555780i
\(233\) 1295.19 1599.43i 0.364166 0.449708i −0.561823 0.827257i \(-0.689900\pi\)
0.925989 + 0.377549i \(0.123233\pi\)
\(234\) 1084.27 1204.21i 0.302911 0.336417i
\(235\) 547.707 2106.04i 0.152036 0.584608i
\(236\) −521.841 + 469.867i −0.143936 + 0.129601i
\(237\) −3392.42 + 6658.01i −0.929796 + 1.82483i
\(238\) 5226.50 1308.60i 1.42346 0.356402i
\(239\) −5428.29 1763.76i −1.46915 0.477356i −0.538299 0.842754i \(-0.680933\pi\)
−0.930852 + 0.365398i \(0.880933\pi\)
\(240\) 3651.17 2409.54i 0.982009 0.648064i
\(241\) −1560.02 1404.64i −0.416968 0.375440i 0.433775 0.901021i \(-0.357181\pi\)
−0.850743 + 0.525581i \(0.823848\pi\)
\(242\) 2500.26 959.758i 0.664143 0.254940i
\(243\) 1397.11 + 5214.08i 0.368825 + 1.37647i
\(244\) −420.719 + 305.670i −0.110384 + 0.0801989i
\(245\) 98.0141 3833.60i 0.0255587 0.999673i
\(246\) 4559.11 + 3312.39i 1.18162 + 0.858497i
\(247\) 784.566 2043.86i 0.202108 0.526510i
\(248\) −322.975 + 497.339i −0.0826974 + 0.127343i
\(249\) 1475.61 851.945i 0.375555 0.216827i
\(250\) 1019.47 + 3493.84i 0.257909 + 0.883878i
\(251\) 4623.99i 1.16280i 0.813617 + 0.581402i \(0.197496\pi\)
−0.813617 + 0.581402i \(0.802504\pi\)
\(252\) 585.233 + 235.777i 0.146294 + 0.0589388i
\(253\) 423.909 + 2676.46i 0.105340 + 0.665088i
\(254\) −3013.77 6769.04i −0.744492 1.67216i
\(255\) −8486.95 3703.93i −2.08421 0.909604i
\(256\) −1667.40 742.374i −0.407080 0.181244i
\(257\) 1024.73 274.575i 0.248719 0.0666440i −0.132306 0.991209i \(-0.542238\pi\)
0.381025 + 0.924565i \(0.375571\pi\)
\(258\) 1049.62 6627.01i 0.253280 1.59915i
\(259\) −2916.21 5248.76i −0.699632 1.25924i
\(260\) 135.525 270.900i 0.0323265 0.0646172i
\(261\) −216.552 240.506i −0.0513573 0.0570380i
\(262\) 271.647 14.2364i 0.0640551 0.00335698i
\(263\) 7457.19 390.815i 1.74840 0.0916300i 0.848903 0.528549i \(-0.177264\pi\)
0.899501 + 0.436919i \(0.143930\pi\)
\(264\) −2071.79 2300.96i −0.482993 0.536418i
\(265\) 1518.78 + 1496.56i 0.352068 + 0.346917i
\(266\) −4746.12 78.1559i −1.09400 0.0180152i
\(267\) −656.516 + 4145.08i −0.150480 + 0.950092i
\(268\) 106.754 28.6046i 0.0243322 0.00651979i
\(269\) 5218.14 + 2323.27i 1.18273 + 0.526587i 0.901385 0.433018i \(-0.142551\pi\)
0.281349 + 0.959605i \(0.409218\pi\)
\(270\) 106.203 + 180.858i 0.0239382 + 0.0407653i
\(271\) −3121.87 7011.84i −0.699780 1.57173i −0.815702 0.578472i \(-0.803649\pi\)
0.115922 0.993258i \(-0.463018\pi\)
\(272\) −922.214 5822.63i −0.205579 1.29797i
\(273\) −3024.40 + 428.097i −0.670494 + 0.0949070i
\(274\) 2835.22i 0.625116i
\(275\) 1973.26 913.638i 0.432699 0.200344i
\(276\) −1218.19 + 703.320i −0.265675 + 0.153387i
\(277\) 1750.36 2695.32i 0.379672 0.584644i −0.596240 0.802806i \(-0.703340\pi\)
0.975913 + 0.218162i \(0.0700062\pi\)
\(278\) 2331.98 6075.03i 0.503105 1.31063i
\(279\) −559.011 406.145i −0.119954 0.0871515i
\(280\) −4938.53 564.521i −1.05405 0.120488i
\(281\) 2679.55 1946.81i 0.568857 0.413299i −0.265833 0.964019i \(-0.585647\pi\)
0.834690 + 0.550720i \(0.185647\pi\)
\(282\) 972.677 + 3630.08i 0.205397 + 0.766553i
\(283\) 4291.04 1647.18i 0.901328 0.345987i 0.136816 0.990597i \(-0.456313\pi\)
0.764512 + 0.644609i \(0.222980\pi\)
\(284\) −580.483 522.669i −0.121286 0.109207i
\(285\) 6377.77 + 5087.25i 1.32557 + 1.05734i
\(286\) 958.450 + 311.419i 0.198162 + 0.0643867i
\(287\) −1312.84 5243.45i −0.270015 1.07843i
\(288\) 693.508 1361.09i 0.141894 0.278482i
\(289\) −5622.49 + 5062.51i −1.14441 + 1.03043i
\(290\) 283.873 + 181.389i 0.0574814 + 0.0367294i
\(291\) 657.057 729.736i 0.132362 0.147003i
\(292\) −193.862 + 239.400i −0.0388525 + 0.0479788i
\(293\) 2162.03 2162.03i 0.431082 0.431082i −0.457914 0.888996i \(-0.651403\pi\)
0.888996 + 0.457914i \(0.151403\pi\)
\(294\) 3120.78 + 5841.46i 0.619072 + 1.15878i
\(295\) 5242.74 + 3750.35i 1.03473 + 0.740183i
\(296\) −7110.06 + 3165.60i −1.39616 + 0.621611i
\(297\) 97.3842 78.8602i 0.0190263 0.0154072i
\(298\) 4839.34 + 3142.71i 0.940724 + 0.610913i
\(299\) 1732.56 3000.88i 0.335106 0.580420i
\(300\) 809.838 + 786.309i 0.155853 + 0.151325i
\(301\) −4852.91 + 4226.99i −0.929292 + 0.809434i
\(302\) 1325.75 + 2601.93i 0.252611 + 0.495776i
\(303\) 4497.01 + 1726.24i 0.852629 + 0.327294i
\(304\) −542.896 + 5165.31i −0.102425 + 0.974510i
\(305\) 3571.06 + 3168.06i 0.670421 + 0.594762i
\(306\) 8092.79 850.586i 1.51188 0.158905i
\(307\) 2087.93 + 2087.93i 0.388158 + 0.388158i 0.874030 0.485872i \(-0.161498\pi\)
−0.485872 + 0.874030i \(0.661498\pi\)
\(308\) 14.0817 + 392.144i 0.00260512 + 0.0725469i
\(309\) −7550.36 + 2453.26i −1.39005 + 0.451654i
\(310\) 673.362 + 252.801i 0.123369 + 0.0463166i
\(311\) 500.660 + 2355.42i 0.0912856 + 0.429465i 0.999929 + 0.0118927i \(0.00378565\pi\)
−0.908644 + 0.417572i \(0.862881\pi\)
\(312\) 207.212 + 3953.83i 0.0375995 + 0.717442i
\(313\) −6347.56 + 4122.16i −1.14628 + 0.744403i −0.970755 0.240072i \(-0.922829\pi\)
−0.175525 + 0.984475i \(0.556162\pi\)
\(314\) −146.511 + 450.913i −0.0263314 + 0.0810398i
\(315\) 958.042 5712.08i 0.171364 1.02171i
\(316\) −379.317 1167.42i −0.0675262 0.207824i
\(317\) −310.809 251.689i −0.0550688 0.0445938i 0.601391 0.798955i \(-0.294613\pi\)
−0.656460 + 0.754361i \(0.727947\pi\)
\(318\) −3556.90 953.070i −0.627237 0.168068i
\(319\) 81.8654 183.873i 0.0143686 0.0322724i
\(320\) −1266.45 + 6181.87i −0.221240 + 1.07993i
\(321\) 6884.15 9475.22i 1.19700 1.64752i
\(322\) −7400.19 1297.32i −1.28073 0.224524i
\(323\) 9795.74 4991.18i 1.68746 0.859804i
\(324\) −740.261 427.390i −0.126931 0.0732836i
\(325\) −2696.18 680.008i −0.460176 0.116062i
\(326\) −4868.66 8432.77i −0.827148 1.43266i
\(327\) −672.035 + 12823.2i −0.113650 + 2.16858i
\(328\) −6920.02 + 1096.02i −1.16492 + 0.184505i
\(329\) 1520.19 3268.47i 0.254743 0.547710i
\(330\) −2184.92 + 3054.37i −0.364472 + 0.509508i
\(331\) −428.116 4073.25i −0.0710917 0.676393i −0.970798 0.239897i \(-0.922886\pi\)
0.899707 0.436495i \(-0.143780\pi\)
\(332\) −72.4427 + 270.360i −0.0119753 + 0.0446926i
\(333\) −3249.93 8466.35i −0.534820 1.39325i
\(334\) −7102.14 1509.61i −1.16351 0.247311i
\(335\) −467.241 900.541i −0.0762032 0.146871i
\(336\) 6667.64 2838.02i 1.08259 0.460794i
\(337\) −10624.3 5413.37i −1.71734 0.875029i −0.979866 0.199655i \(-0.936018\pi\)
−0.737475 0.675374i \(-0.763982\pi\)
\(338\) 2414.30 + 3717.69i 0.388522 + 0.598272i
\(339\) 5047.97 1072.98i 0.808755 0.171906i
\(340\) 1416.04 555.577i 0.225870 0.0886188i
\(341\) 89.3463 420.342i 0.0141888 0.0667530i
\(342\) −7080.88 1121.50i −1.11956 0.177321i
\(343\) 1302.34 6217.52i 0.205013 0.978759i
\(344\) 4903.22 + 6748.71i 0.768500 + 1.05775i
\(345\) 8710.67 + 9531.96i 1.35932 + 1.48749i
\(346\) 7694.64 + 808.739i 1.19557 + 0.125659i
\(347\) 6681.04 + 8250.40i 1.03359 + 1.27638i 0.960270 + 0.279074i \(0.0900275\pi\)
0.0733244 + 0.997308i \(0.476639\pi\)
\(348\) 104.336 + 5.46802i 0.0160718 + 0.000842290i
\(349\) −105.304 −0.0161513 −0.00807563 0.999967i \(-0.502571\pi\)
−0.00807563 + 0.999967i \(0.502571\pi\)
\(350\) 619.844 + 5996.95i 0.0946630 + 0.915858i
\(351\) −160.238 −0.0243671
\(352\) 948.734 + 49.7210i 0.143658 + 0.00752881i
\(353\) −5064.39 6254.00i −0.763598 0.942965i 0.235988 0.971756i \(-0.424168\pi\)
−0.999585 + 0.0287913i \(0.990834\pi\)
\(354\) −11071.4 1163.65i −1.66226 0.174710i
\(355\) −3539.35 + 6236.03i −0.529153 + 0.932321i
\(356\) −405.218 557.734i −0.0603272 0.0830333i
\(357\) −12725.2 8565.01i −1.88653 1.26977i
\(358\) 1386.70 + 219.632i 0.204719 + 0.0324243i
\(359\) 1161.49 5464.37i 0.170755 0.803338i −0.806494 0.591242i \(-0.798638\pi\)
0.977249 0.212096i \(-0.0680289\pi\)
\(360\) −7265.66 1889.55i −1.06371 0.276633i
\(361\) −2765.12 + 587.744i −0.403137 + 0.0856895i
\(362\) 3400.24 + 5235.91i 0.493682 + 0.760203i
\(363\) −6793.63 3461.53i −0.982295 0.500504i
\(364\) 301.576 401.028i 0.0434255 0.0577461i
\(365\) 2528.99 + 1265.19i 0.362667 + 0.181434i
\(366\) −8064.22 1714.10i −1.15170 0.244802i
\(367\) −3349.01 8724.48i −0.476341 1.24091i −0.935743 0.352682i \(-0.885270\pi\)
0.459403 0.888228i \(-0.348063\pi\)
\(368\) −2127.63 + 7940.44i −0.301388 + 1.12479i
\(369\) −853.343 8119.02i −0.120388 1.14542i
\(370\) 5604.72 + 7595.88i 0.787502 + 1.06727i
\(371\) 2028.75 + 2891.28i 0.283902 + 0.404603i
\(372\) 220.324 34.8958i 0.0307076 0.00486361i
\(373\) 118.267 2256.66i 0.0164172 0.313259i −0.978061 0.208318i \(-0.933201\pi\)
0.994478 0.104941i \(-0.0334654\pi\)
\(374\) 2530.40 + 4382.78i 0.349850 + 0.605958i
\(375\) 5449.92 8812.76i 0.750487 1.21357i
\(376\) −4046.39 2336.18i −0.554991 0.320424i
\(377\) −229.322 + 116.846i −0.0313281 + 0.0159625i
\(378\) 119.149 + 326.356i 0.0162126 + 0.0444072i
\(379\) 1996.22 2747.55i 0.270551 0.372381i −0.652025 0.758198i \(-0.726080\pi\)
0.922575 + 0.385817i \(0.126080\pi\)
\(380\) −1331.73 + 149.902i −0.179780 + 0.0202363i
\(381\) −8580.22 + 19271.5i −1.15375 + 2.59136i
\(382\) −200.748 53.7903i −0.0268879 0.00720458i
\(383\) 9068.54 + 7343.56i 1.20987 + 0.979735i 0.999998 + 0.00200613i \(0.000638572\pi\)
0.209874 + 0.977729i \(0.432695\pi\)
\(384\) −2366.65 7283.78i −0.314511 0.967966i
\(385\) 3487.68 900.603i 0.461685 0.119218i
\(386\) −546.622 + 1682.33i −0.0720786 + 0.221835i
\(387\) −8151.85 + 5293.87i −1.07075 + 0.695356i
\(388\) 8.44207 + 161.084i 0.00110459 + 0.0210769i
\(389\) 401.274 + 1887.85i 0.0523019 + 0.246061i 0.996530 0.0832301i \(-0.0265236\pi\)
−0.944229 + 0.329291i \(0.893190\pi\)
\(390\) 4629.23 1277.04i 0.601052 0.165809i
\(391\) 16549.4 5377.21i 2.14050 0.695492i
\(392\) −7878.92 2391.82i −1.01517 0.308177i
\(393\) −547.614 547.614i −0.0702887 0.0702887i
\(394\) 709.254 74.5456i 0.0906897 0.00953187i
\(395\) −9716.64 + 5705.80i −1.23771 + 0.726810i
\(396\) −61.9482 + 589.398i −0.00786115 + 0.0747939i
\(397\) 1062.75 + 407.953i 0.134353 + 0.0515732i 0.424615 0.905374i \(-0.360409\pi\)
−0.290263 + 0.956947i \(0.593743\pi\)
\(398\) −3493.66 6856.69i −0.440003 0.863555i
\(399\) 8876.09 + 10190.4i 1.11368 + 1.27860i
\(400\) 6595.92 97.2327i 0.824490 0.0121541i
\(401\) −1958.71 + 3392.58i −0.243923 + 0.422488i −0.961828 0.273653i \(-0.911768\pi\)
0.717905 + 0.696141i \(0.245101\pi\)
\(402\) 1469.45 + 954.272i 0.182312 + 0.118395i
\(403\) −427.050 + 345.819i −0.0527863 + 0.0427455i
\(404\) −722.869 + 321.842i −0.0890200 + 0.0396343i
\(405\) −2369.68 + 7480.26i −0.290741 + 0.917771i
\(406\) 408.498 + 380.177i 0.0499345 + 0.0464726i
\(407\) 3988.09 3988.09i 0.485706 0.485706i
\(408\) −12512.4 + 15451.6i −1.51828 + 1.87492i
\(409\) 3776.40 4194.12i 0.456555 0.507056i −0.470284 0.882515i \(-0.655848\pi\)
0.926839 + 0.375459i \(0.122515\pi\)
\(410\) 3103.74 + 7910.76i 0.373861 + 0.952889i
\(411\) −5998.57 + 5401.14i −0.719922 + 0.648220i
\(412\) 592.059 1161.98i 0.0707978 0.138948i
\(413\) 7425.07 + 7673.70i 0.884658 + 0.914282i
\(414\) −10791.8 3506.45i −1.28112 0.416263i
\(415\) 2566.78 + 115.557i 0.303610 + 0.0136686i
\(416\) −902.801 812.885i −0.106403 0.0958053i
\(417\) −17295.6 + 6639.17i −2.03110 + 0.779668i
\(418\) −1153.98 4306.72i −0.135031 0.503944i
\(419\) −3601.32 + 2616.51i −0.419894 + 0.305071i −0.777595 0.628765i \(-0.783561\pi\)
0.357701 + 0.933836i \(0.383561\pi\)
\(420\) 1085.24 + 1522.64i 0.126082 + 0.176898i
\(421\) 2152.87 + 1564.15i 0.249227 + 0.181074i 0.705384 0.708825i \(-0.250774\pi\)
−0.456157 + 0.889899i \(0.650774\pi\)
\(422\) 4140.37 10786.0i 0.477607 1.24421i
\(423\) 2965.16 4565.94i 0.340829 0.524831i
\(424\) 3964.82 2289.09i 0.454125 0.262189i
\(425\) −7776.89 11597.5i −0.887611 1.32367i
\(426\) 12383.4i 1.40840i
\(427\) 4874.68 + 6226.62i 0.552464 + 0.705684i
\(428\) 300.969 + 1900.24i 0.0339903 + 0.214607i
\(429\) −1166.98 2621.09i −0.131334 0.294982i
\(430\) 6714.50 7568.65i 0.753027 0.848820i
\(431\) −13246.9 5897.88i −1.48046 0.659144i −0.501867 0.864945i \(-0.667353\pi\)
−0.978594 + 0.205801i \(0.934020\pi\)
\(432\) 367.190 98.3882i 0.0408945 0.0109576i
\(433\) 715.165 4515.38i 0.0793733 0.501143i −0.915689 0.401888i \(-0.868354\pi\)
0.995062 0.0992551i \(-0.0316460\pi\)
\(434\) 1021.87 + 612.631i 0.113022 + 0.0677586i
\(435\) −157.012 946.150i −0.0173061 0.104286i
\(436\) −1411.43 1567.55i −0.155035 0.172184i
\(437\) −15309.6 + 802.340i −1.67587 + 0.0878286i
\(438\) −4876.96 + 255.591i −0.532033 + 0.0278826i
\(439\) 7029.23 + 7806.75i 0.764207 + 0.848738i 0.992165 0.124933i \(-0.0398715\pi\)
−0.227958 + 0.973671i \(0.573205\pi\)
\(440\) −764.356 4605.98i −0.0828164 0.499049i
\(441\) 3263.61 9022.10i 0.352404 0.974204i
\(442\) 1012.35 6391.72i 0.108942 0.687835i
\(443\) 5764.55 1544.61i 0.618244 0.165658i 0.0639147 0.997955i \(-0.479641\pi\)
0.554329 + 0.832297i \(0.312975\pi\)
\(444\) 2674.57 + 1190.79i 0.285877 + 0.127281i
\(445\) −4199.80 + 4734.05i −0.447392 + 0.504305i
\(446\) −4750.50 10669.8i −0.504356 1.13280i
\(447\) −2569.90 16225.7i −0.271928 1.71689i
\(448\) −3906.18 + 9695.69i −0.411941 + 1.02250i
\(449\) 9420.69i 0.990177i 0.868842 + 0.495089i \(0.164864\pi\)
−0.868842 + 0.495089i \(0.835136\pi\)
\(450\) −342.467 + 9099.13i −0.0358757 + 0.953194i
\(451\) 4396.99 2538.60i 0.459082 0.265051i
\(452\) −461.719 + 710.985i −0.0480474 + 0.0739865i
\(453\) 2979.43 7761.67i 0.309019 0.805022i
\(454\) 5004.66 + 3636.09i 0.517357 + 0.375882i
\(455\) −4190.66 1911.66i −0.431783 0.196967i
\(456\) 14171.3 10296.1i 1.45534 1.05736i
\(457\) −1418.93 5295.53i −0.145240 0.542044i −0.999745 0.0225999i \(-0.992806\pi\)
0.854504 0.519444i \(-0.173861\pi\)
\(458\) −7375.63 + 2831.24i −0.752490 + 0.288854i
\(459\) −597.990 538.433i −0.0608100 0.0547536i
\(460\) −2118.99 95.3973i −0.214780 0.00966940i
\(461\) 12462.2 + 4049.21i 1.25905 + 0.409090i 0.861155 0.508342i \(-0.169741\pi\)
0.397893 + 0.917432i \(0.369741\pi\)
\(462\) −4470.63 + 4325.77i −0.450200 + 0.435613i
\(463\) 7427.76 14577.8i 0.745566 1.46326i −0.135757 0.990742i \(-0.543347\pi\)
0.881323 0.472514i \(-0.156653\pi\)
\(464\) 453.755 408.563i 0.0453988 0.0408773i
\(465\) −747.906 1906.25i −0.0745877 0.190108i
\(466\) −3586.36 + 3983.06i −0.356513 + 0.395947i
\(467\) −384.679 + 475.039i −0.0381174 + 0.0470711i −0.795848 0.605496i \(-0.792975\pi\)
0.757731 + 0.652567i \(0.226308\pi\)
\(468\) 535.868 535.868i 0.0529284 0.0529284i
\(469\) −492.942 1606.67i −0.0485330 0.158185i
\(470\) −1711.45 + 5402.46i −0.167964 + 0.530206i
\(471\) 1233.12 549.020i 0.120635 0.0537102i
\(472\) 10756.1 8710.14i 1.04892 0.849399i
\(473\) −5069.81 3292.37i −0.492833 0.320049i
\(474\) 9730.03 16852.9i 0.942859 1.63308i
\(475\) 3973.61 + 11642.7i 0.383835 + 1.12464i
\(476\) 2472.99 483.235i 0.238129 0.0465316i
\(477\) 2421.82 + 4753.09i 0.232469 + 0.456245i
\(478\) 13876.8 + 5326.81i 1.32785 + 0.509712i
\(479\) 497.809 4736.34i 0.0474854 0.451793i −0.944784 0.327693i \(-0.893729\pi\)
0.992270 0.124100i \(-0.0396044\pi\)
\(480\) 3903.72 2292.34i 0.371208 0.217980i
\(481\) −7172.54 + 753.864i −0.679916 + 0.0714620i
\(482\) 3865.64 + 3865.64i 0.365301 + 0.365301i
\(483\) 11352.7 + 18128.3i 1.06950 + 1.70780i
\(484\) 1191.20 387.044i 0.111871 0.0363490i
\(485\) 1427.42 393.774i 0.133641 0.0368667i
\(486\) −2922.76 13750.5i −0.272797 1.28341i
\(487\) 538.302 + 10271.4i 0.0500879 + 0.955733i 0.901916 + 0.431912i \(0.142161\pi\)
−0.851828 + 0.523822i \(0.824506\pi\)
\(488\) 8596.36 5582.54i 0.797416 0.517848i
\(489\) −8566.63 + 26365.4i −0.792222 + 2.43821i
\(490\) −777.405 + 9956.58i −0.0716726 + 0.917944i
\(491\) −512.088 1576.04i −0.0470676 0.144859i 0.924761 0.380549i \(-0.124265\pi\)
−0.971828 + 0.235690i \(0.924265\pi\)
\(492\) 2048.19 + 1658.59i 0.187682 + 0.151982i
\(493\) −1248.43 334.517i −0.114050 0.0305596i
\(494\) −2318.97 + 5208.48i −0.211205 + 0.474374i
\(495\) 5406.17 608.527i 0.490887 0.0552551i
\(496\) 766.262 1054.67i 0.0693673 0.0954759i
\(497\) −7625.93 + 9106.48i −0.688269 + 0.821894i
\(498\) −3953.70 + 2014.51i −0.355762 + 0.181270i
\(499\) −3145.47 1816.04i −0.282185 0.162920i 0.352227 0.935915i \(-0.385424\pi\)
−0.634412 + 0.772995i \(0.718758\pi\)
\(500\) 390.614 + 1656.70i 0.0349376 + 0.148179i
\(501\) 10335.8 + 17902.1i 0.921693 + 1.59642i
\(502\) 630.228 12025.5i 0.0560328 1.06917i
\(503\) 13850.8 2193.75i 1.22778 0.194462i 0.491345 0.870965i \(-0.336505\pi\)
0.736440 + 0.676503i \(0.236505\pi\)
\(504\) −11276.0 5244.52i −0.996570 0.463511i
\(505\) 4312.70 + 5844.84i 0.380025 + 0.515033i
\(506\) −737.659 7018.35i −0.0648082 0.616608i
\(507\) 3266.38 12190.3i 0.286124 1.06783i
\(508\) −1241.86 3235.15i −0.108462 0.282552i
\(509\) −9979.04 2121.11i −0.868985 0.184708i −0.248218 0.968704i \(-0.579845\pi\)
−0.620766 + 0.783996i \(0.713178\pi\)
\(510\) 21566.9 + 10789.4i 1.87255 + 0.936792i
\(511\) 3743.81 + 2815.37i 0.324102 + 0.243727i
\(512\) 11598.1 + 5909.55i 1.00111 + 0.510093i
\(513\) 386.111 + 594.559i 0.0332305 + 0.0511704i
\(514\) −2702.40 + 574.413i −0.231902 + 0.0492924i
\(515\) −11586.1 3013.14i −0.991347 0.257815i
\(516\) 652.412 3069.36i 0.0556606 0.261862i
\(517\) 3344.22 + 529.672i 0.284484 + 0.0450579i
\(518\) 6868.72 + 14047.7i 0.582615 + 1.19155i
\(519\) −12947.3 17820.5i −1.09504 1.50719i
\(520\) −2946.99 + 5192.34i −0.248527 + 0.437883i
\(521\) 3603.07 + 378.698i 0.302982 + 0.0318447i 0.254799 0.966994i \(-0.417991\pi\)
0.0481822 + 0.998839i \(0.484657\pi\)
\(522\) 530.401 + 654.991i 0.0444732 + 0.0549199i
\(523\) 2091.48 + 109.610i 0.174864 + 0.00916425i 0.139567 0.990213i \(-0.455429\pi\)
0.0352972 + 0.999377i \(0.488762\pi\)
\(524\) 127.217 0.0106059
\(525\) 11507.2 12735.7i 0.956597 1.05873i
\(526\) −19447.0 −1.61203
\(527\) −2755.73 144.422i −0.227783 0.0119376i
\(528\) 4283.56 + 5289.76i 0.353065 + 0.435999i
\(529\) −12031.5 1264.56i −0.988864 0.103934i
\(530\) −3745.88 4099.06i −0.307001 0.335947i
\(531\) 9479.24 + 13047.1i 0.774697 + 1.06628i
\(532\) −2214.69 152.669i −0.180487 0.0124418i
\(533\) −6412.44 1015.63i −0.521113 0.0825363i
\(534\) 2272.34 10690.5i 0.184145 0.866336i
\(535\) 16441.0 6450.52i 1.32861 0.521271i
\(536\) −2130.75 + 452.905i −0.171706 + 0.0364972i
\(537\) −2177.01 3352.30i −0.174944 0.269390i
\(538\) −13254.0 6753.26i −1.06212 0.541178i
\(539\) 5951.49 427.982i 0.475601 0.0342013i
\(540\) 45.1738 + 87.0663i 0.00359995 + 0.00693840i
\(541\) 10698.9 + 2274.13i 0.850247 + 0.180726i 0.612371 0.790570i \(-0.290216\pi\)
0.237875 + 0.971296i \(0.423549\pi\)
\(542\) 7163.28 + 18661.0i 0.567692 + 1.47889i
\(543\) 4600.29 17168.5i 0.363568 1.35685i
\(544\) −637.689 6067.21i −0.0502586 0.478179i
\(545\) −11265.7 + 15748.6i −0.885446 + 1.23779i
\(546\) 7923.80 701.128i 0.621076 0.0549552i
\(547\) −18193.9 + 2881.64i −1.42215 + 0.225247i −0.819647 0.572869i \(-0.805830\pi\)
−0.602505 + 0.798115i \(0.705830\pi\)
\(548\) 69.3956 1324.15i 0.00540955 0.103220i
\(549\) 5971.66 + 10343.2i 0.464233 + 0.804076i
\(550\) −5256.33 + 2107.13i −0.407510 + 0.163360i
\(551\) 986.134 + 569.344i 0.0762445 + 0.0440198i
\(552\) 24703.2 12586.9i 1.90478 0.970532i
\(553\) −17533.6 + 6401.32i −1.34829 + 0.492246i
\(554\) −4919.48 + 6771.08i −0.377272 + 0.519270i
\(555\) 5393.78 26328.4i 0.412528 2.01366i
\(556\) 1237.81 2780.17i 0.0944154 0.212060i
\(557\) 19854.7 + 5320.06i 1.51036 + 0.404700i 0.916555 0.399908i \(-0.130958\pi\)
0.593806 + 0.804608i \(0.297625\pi\)
\(558\) 1398.45 + 1132.44i 0.106095 + 0.0859140i
\(559\) 2388.70 + 7351.65i 0.180735 + 0.556246i
\(560\) 10776.8 + 1807.51i 0.813221 + 0.136395i
\(561\) 4452.35 13702.9i 0.335078 1.03126i
\(562\) −7233.98 + 4697.80i −0.542966 + 0.352606i
\(563\) −1209.01 23069.4i −0.0905043 1.72692i −0.546943 0.837170i \(-0.684209\pi\)
0.456439 0.889755i \(-0.349125\pi\)
\(564\) 365.423 + 1719.18i 0.0272821 + 0.128352i
\(565\) 7285.59 + 2735.24i 0.542491 + 0.203668i
\(566\) −11384.1 + 3698.91i −0.845421 + 0.274694i
\(567\) −6090.84 + 11482.5i −0.451131 + 0.850479i
\(568\) 10886.5 + 10886.5i 0.804206 + 0.804206i
\(569\) 13076.3 1374.38i 0.963425 0.101260i 0.390264 0.920703i \(-0.372384\pi\)
0.573161 + 0.819443i \(0.305717\pi\)
\(570\) −15893.1 14099.5i −1.16788 1.03608i
\(571\) −387.942 + 3691.02i −0.0284323 + 0.270516i 0.971065 + 0.238815i \(0.0767590\pi\)
−0.999497 + 0.0317005i \(0.989908\pi\)
\(572\) 440.007 + 168.903i 0.0321637 + 0.0123465i
\(573\) 268.622 + 527.201i 0.0195844 + 0.0384366i
\(574\) 2699.60 + 13815.4i 0.196305 + 1.00461i
\(575\) 3329.15 + 19184.7i 0.241452 + 1.39141i
\(576\) −7893.68 + 13672.2i −0.571012 + 0.989023i
\(577\) 8049.25 + 5227.24i 0.580753 + 0.377146i 0.801329 0.598224i \(-0.204127\pi\)
−0.220575 + 0.975370i \(0.570793\pi\)
\(578\) 15312.2 12399.6i 1.10191 0.892310i
\(579\) 4600.69 2048.36i 0.330222 0.147024i
\(580\) 128.139 + 91.6632i 0.00917359 + 0.00656225i
\(581\) 4148.03 + 953.336i 0.296195 + 0.0680741i
\(582\) −1808.25 + 1808.25i −0.128787 + 0.128787i
\(583\) −2087.86 + 2578.30i −0.148320 + 0.183160i
\(584\) 4062.76 4512.15i 0.287873 0.319716i
\(585\) −5862.13 3745.78i −0.414306 0.264733i
\(586\) −5917.39 + 5328.05i −0.417142 + 0.375596i
\(587\) −2647.77 + 5196.54i −0.186176 + 0.365390i −0.965163 0.261649i \(-0.915734\pi\)
0.778987 + 0.627040i \(0.215734\pi\)
\(588\) 1314.53 + 2804.55i 0.0921947 + 0.196697i
\(589\) 2312.18 + 751.274i 0.161752 + 0.0525564i
\(590\) −13123.5 10468.0i −0.915738 0.730441i
\(591\) −1508.86 1358.58i −0.105019 0.0945596i
\(592\) 15973.2 6131.54i 1.10894 0.425684i
\(593\) −3011.17 11237.8i −0.208523 0.778218i −0.988347 0.152219i \(-0.951358\pi\)
0.779824 0.625999i \(-0.215309\pi\)
\(594\) −264.012 + 191.816i −0.0182366 + 0.0132497i
\(595\) −9215.51 21215.6i −0.634957 1.46178i
\(596\) 2183.22 + 1586.20i 0.150047 + 0.109016i
\(597\) −7851.48 + 20453.8i −0.538257 + 1.40221i
\(598\) −4914.83 + 7568.17i −0.336091 + 0.517534i
\(599\) 17579.1 10149.3i 1.19910 0.692301i 0.238746 0.971082i \(-0.423264\pi\)
0.960355 + 0.278781i \(0.0899303\pi\)
\(600\) −15129.0 16312.4i −1.02940 1.10992i
\(601\) 14153.7i 0.960637i −0.877094 0.480318i \(-0.840521\pi\)
0.877094 0.480318i \(-0.159479\pi\)
\(602\) 13196.9 10331.6i 0.893466 0.699474i
\(603\) −397.066 2506.97i −0.0268155 0.169307i
\(604\) 555.487 + 1247.64i 0.0374212 + 0.0840495i
\(605\) −5822.02 9914.57i −0.391238 0.666255i
\(606\) −11460.0 5102.31i −0.768200 0.342025i
\(607\) 15704.5 4208.00i 1.05012 0.281380i 0.307821 0.951444i \(-0.400400\pi\)
0.742303 + 0.670065i \(0.233734\pi\)
\(608\) −840.795 + 5308.57i −0.0560835 + 0.354097i
\(609\) 26.1587 1588.52i 0.00174056 0.105698i
\(610\) −8855.37 8725.79i −0.587776 0.579175i
\(611\) −2897.10 3217.56i −0.191824 0.213042i
\(612\) 3800.44 199.172i 0.251019 0.0131553i
\(613\) −12649.3 + 662.922i −0.833444 + 0.0436789i −0.464283 0.885687i \(-0.653688\pi\)
−0.369160 + 0.929366i \(0.620355\pi\)
\(614\) −5145.44 5714.59i −0.338197 0.375606i
\(615\) 10824.4 21636.8i 0.709727 1.41867i
\(616\) 127.344 7733.12i 0.00832926 0.505806i
\(617\) 1.16761 7.37199i 7.61850e−5 0.000481013i −0.987650 0.156675i \(-0.949922\pi\)
0.987726 + 0.156194i \(0.0499225\pi\)
\(618\) 19970.4 5351.04i 1.29988 0.348302i
\(619\) −10934.3 4868.25i −0.709992 0.316109i 0.0197751 0.999804i \(-0.493705\pi\)
−0.729767 + 0.683696i \(0.760372\pi\)
\(620\) 308.296 + 134.549i 0.0199701 + 0.00871549i
\(621\) 456.389 + 1025.07i 0.0294916 + 0.0662392i
\(622\) −981.019 6193.91i −0.0632400 0.399282i
\(623\) −8254.44 + 6462.21i −0.530830 + 0.415575i
\(624\) 8703.86i 0.558387i
\(625\) 14080.6 6773.25i 0.901159 0.433488i
\(626\) 17069.7 9855.22i 1.08985 0.629224i
\(627\) −6913.52 + 10645.9i −0.440350 + 0.678080i
\(628\) −79.4623 + 207.006i −0.00504919 + 0.0131536i
\(629\) −29300.3 21287.9i −1.85736 1.34945i
\(630\) −3270.08 + 14724.7i −0.206799 + 0.931182i
\(631\) 4506.50 3274.16i 0.284312 0.206565i −0.436484 0.899712i \(-0.643776\pi\)
0.720796 + 0.693147i \(0.243776\pi\)
\(632\) 6261.89 + 23369.7i 0.394121 + 1.47088i
\(633\) −30707.9 + 11787.7i −1.92817 + 0.740154i
\(634\) 774.009 + 696.921i 0.0484855 + 0.0436566i
\(635\) −26550.2 + 17521.4i −1.65923 + 1.09499i
\(636\) −1637.87 532.177i −0.102116 0.0331795i
\(637\) −6258.76 4364.04i −0.389295 0.271443i
\(638\) −237.966 + 467.034i −0.0147667 + 0.0289813i
\(639\) −13331.5 + 12003.8i −0.825332 + 0.743132i
\(640\) 2906.75 11177.0i 0.179530 0.690328i
\(641\) −15271.8 + 16961.1i −0.941030 + 1.04512i 0.0578747 + 0.998324i \(0.481568\pi\)
−0.998904 + 0.0467956i \(0.985099\pi\)
\(642\) −19194.8 + 23703.6i −1.18000 + 1.45718i
\(643\) −10194.5 + 10194.5i −0.625246 + 0.625246i −0.946868 0.321622i \(-0.895772\pi\)
0.321622 + 0.946868i \(0.395772\pi\)
\(644\) −3424.40 787.023i −0.209534 0.0481569i
\(645\) −28804.5 + 212.297i −1.75841 + 0.0129600i
\(646\) −26155.8 + 11645.3i −1.59301 + 0.709254i
\(647\) −5055.07 + 4093.52i −0.307164 + 0.248737i −0.770491 0.637451i \(-0.779989\pi\)
0.463327 + 0.886188i \(0.346656\pi\)
\(648\) 14129.7 + 9175.97i 0.856588 + 0.556275i
\(649\) −5014.88 + 8686.02i −0.303315 + 0.525356i
\(650\) 6919.19 + 2135.95i 0.417528 + 0.128891i
\(651\) −650.521 3329.09i −0.0391643 0.200426i
\(652\) −2067.43 4057.57i −0.124182 0.243722i
\(653\) 20479.2 + 7861.21i 1.22728 + 0.471107i 0.883716 0.468023i \(-0.155034\pi\)
0.343560 + 0.939131i \(0.388367\pi\)
\(654\) 3495.48 33257.3i 0.208997 1.98848i
\(655\) −251.215 1140.48i −0.0149859 0.0680339i
\(656\) 15317.9 1609.98i 0.911683 0.0958218i
\(657\) 5002.61 + 5002.61i 0.297063 + 0.297063i
\(658\) −4398.98 + 8293.02i −0.260623 + 0.491331i
\(659\) 2179.68 708.221i 0.128844 0.0418640i −0.243885 0.969804i \(-0.578422\pi\)
0.372729 + 0.927940i \(0.378422\pi\)
\(660\) −1095.19 + 1373.02i −0.0645915 + 0.0809769i
\(661\) 2737.40 + 12878.4i 0.161078 + 0.757811i 0.982317 + 0.187227i \(0.0599499\pi\)
−0.821239 + 0.570584i \(0.806717\pi\)
\(662\) 558.223 + 10651.5i 0.0327733 + 0.625352i
\(663\) −15451.7 + 10034.5i −0.905122 + 0.587793i
\(664\) 1704.79 5246.79i 0.0996363 0.306649i
\(665\) 3004.69 + 20155.8i 0.175214 + 1.17535i
\(666\) 7298.07 + 22461.1i 0.424616 + 1.30683i
\(667\) 1400.64 + 1134.21i 0.0813088 + 0.0658425i
\(668\) −3280.00 878.873i −0.189980 0.0509051i
\(669\) −13524.7 + 30376.9i −0.781606 + 1.75552i
\(670\) 1092.40 + 2405.69i 0.0629896 + 0.138716i
\(671\) −4365.95 + 6009.22i −0.251186 + 0.345728i
\(672\) 7044.23 2571.77i 0.404371 0.147631i
\(673\) 8654.75 4409.81i 0.495715 0.252579i −0.188214 0.982128i \(-0.560270\pi\)
0.683929 + 0.729549i \(0.260270\pi\)
\(674\) 26892.6 + 15526.4i 1.53689 + 0.887323i
\(675\) 691.328 576.904i 0.0394211 0.0328964i
\(676\) 1036.57 + 1795.39i 0.0589763 + 0.102150i
\(677\) 1595.17 30437.7i 0.0905577 1.72794i −0.455534 0.890218i \(-0.650552\pi\)
0.546092 0.837725i \(-0.316115\pi\)
\(678\) −13274.3 + 2102.45i −0.751914 + 0.119091i
\(679\) 2443.30 216.192i 0.138093 0.0122190i
\(680\) −28445.2 + 9474.75i −1.60415 + 0.534324i
\(681\) −1840.94 17515.4i −0.103590 0.985595i
\(682\) −289.651 + 1080.99i −0.0162629 + 0.0606940i
\(683\) −10896.3 28385.8i −0.610447 1.59027i −0.794441 0.607341i \(-0.792236\pi\)
0.183995 0.982927i \(-0.441097\pi\)
\(684\) −3279.57 697.094i −0.183330 0.0389679i
\(685\) −12007.7 + 1992.67i −0.669770 + 0.111147i
\(686\) −4234.36 + 15992.2i −0.235669 + 0.890066i
\(687\) 20040.9 + 10211.3i 1.11296 + 0.567084i
\(688\) −9987.79 15379.9i −0.553461 0.852255i
\(689\) 4149.67 882.039i 0.229448 0.0487707i
\(690\) −21354.4 25976.7i −1.17819 1.43321i
\(691\) −6389.45 + 30060.0i −0.351760 + 1.65490i 0.345751 + 0.938326i \(0.387624\pi\)
−0.697511 + 0.716574i \(0.745709\pi\)
\(692\) 3573.87 + 566.046i 0.196327 + 0.0310951i
\(693\) 8990.55 + 619.760i 0.492818 + 0.0339722i
\(694\) −16250.7 22367.2i −0.888859 1.22341i
\(695\) −27368.0 5606.76i −1.49371 0.306009i
\(696\) −2048.02 215.255i −0.111537 0.0117230i
\(697\) −20517.8 25337.4i −1.11502 1.37693i
\(698\) 273.861 + 14.3524i 0.0148507 + 0.000778291i
\(699\) 15259.2 0.825687
\(700\) 142.706 + 2815.96i 0.00770540 + 0.152047i
\(701\) 10261.1 0.552865 0.276432 0.961033i \(-0.410848\pi\)
0.276432 + 0.961033i \(0.410848\pi\)
\(702\) 416.725 + 21.8396i 0.0224050 + 0.00117419i
\(703\) 20080.3 + 24797.1i 1.07730 + 1.33035i
\(704\) −9764.70 1026.31i −0.522757 0.0549440i
\(705\) 14690.5 6670.81i 0.784790 0.356365i
\(706\) 12318.4 + 16954.8i 0.656670 + 0.903829i
\(707\) 5285.31 + 10809.4i 0.281152 + 0.575006i
\(708\) −5142.25 814.453i −0.272963 0.0432331i
\(709\) 436.219 2052.25i 0.0231066 0.108708i −0.965083 0.261944i \(-0.915636\pi\)
0.988190 + 0.153236i \(0.0489696\pi\)
\(710\) 10054.6 15735.4i 0.531469 0.831748i
\(711\) −27575.0 + 5861.24i −1.45449 + 0.309162i
\(712\) 7400.61 + 11395.9i 0.389536 + 0.599832i
\(713\) 3428.59 + 1746.95i 0.180086 + 0.0917586i
\(714\) 31926.8 + 24009.1i 1.67343 + 1.25843i
\(715\) 645.302 4278.11i 0.0337524 0.223765i
\(716\) 642.263 + 136.517i 0.0335230 + 0.00712554i
\(717\) −15165.4 39507.3i −0.789908 2.05778i
\(718\) −3765.41 + 14052.7i −0.195716 + 0.730422i
\(719\) −2062.34 19621.9i −0.106971 1.01776i −0.907952 0.419074i \(-0.862355\pi\)
0.800981 0.598690i \(-0.204312\pi\)
\(720\) 15733.2 + 4984.14i 0.814364 + 0.257983i
\(721\) −17981.0 8363.09i −0.928778 0.431980i
\(722\) 7271.27 1151.66i 0.374804 0.0593631i
\(723\) 814.563 15542.8i 0.0419003 0.799505i
\(724\) 1459.88 + 2528.58i 0.0749391 + 0.129798i
\(725\) 568.707 1329.75i 0.0291328 0.0681181i
\(726\) 17196.2 + 9928.23i 0.879078 + 0.507536i
\(727\) −5743.34 + 2926.38i −0.292997 + 0.149289i −0.594310 0.804236i \(-0.702575\pi\)
0.301313 + 0.953525i \(0.402575\pi\)
\(728\) −6349.62 + 7582.38i −0.323259 + 0.386019i
\(729\) −12386.5 + 17048.5i −0.629298 + 0.866154i
\(730\) −6404.63 3635.04i −0.324720 0.184300i
\(731\) −15788.8 + 35462.1i −0.798862 + 1.79427i
\(732\) −3724.32 997.929i −0.188053 0.0503887i
\(733\) 16847.4 + 13642.7i 0.848939 + 0.687457i 0.951627 0.307256i \(-0.0994109\pi\)
−0.102688 + 0.994714i \(0.532744\pi\)
\(734\) 7520.57 + 23145.9i 0.378187 + 1.16394i
\(735\) 22546.5 17322.7i 1.13148 0.869329i
\(736\) −2628.81 + 8090.63i −0.131656 + 0.405197i
\(737\) 1323.90 859.754i 0.0661692 0.0429707i
\(738\) 1112.68 + 21231.2i 0.0554991 + 1.05899i
\(739\) −621.187 2922.46i −0.0309212 0.145473i 0.959979 0.280072i \(-0.0903585\pi\)
−0.990900 + 0.134600i \(0.957025\pi\)
\(740\) 2431.68 + 3684.72i 0.120798 + 0.183045i
\(741\) 15437.4 5015.93i 0.765329 0.248670i
\(742\) −4882.04 7795.76i −0.241544 0.385703i
\(743\) −21852.7 21852.7i −1.07900 1.07900i −0.996599 0.0824042i \(-0.973740\pi\)
−0.0824042 0.996599i \(-0.526260\pi\)
\(744\) −4372.64 + 459.583i −0.215469 + 0.0226467i
\(745\) 9908.81 22704.4i 0.487289 1.11654i
\(746\) −615.145 + 5852.71i −0.0301904 + 0.287243i
\(747\) 6001.24 + 2303.66i 0.293941 + 0.112833i
\(748\) 1074.51 + 2108.85i 0.0525241 + 0.103084i
\(749\) 28712.6 5610.60i 1.40072 0.273707i
\(750\) −15374.6 + 22176.3i −0.748534 + 1.07968i
\(751\) 14877.0 25767.8i 0.722864 1.25204i −0.236983 0.971514i \(-0.576159\pi\)
0.959847 0.280524i \(-0.0905081\pi\)
\(752\) 8614.43 + 5594.27i 0.417734 + 0.271280i
\(753\) −26643.3 + 21575.3i −1.28942 + 1.04416i
\(754\) 612.317 272.621i 0.0295747 0.0131675i
\(755\) 10088.0 7443.54i 0.486276 0.358806i
\(756\) 47.6588 + 155.336i 0.00229277 + 0.00747290i
\(757\) 23735.0 23735.0i 1.13958 1.13958i 0.151056 0.988525i \(-0.451733\pi\)
0.988525 0.151056i \(-0.0482674\pi\)
\(758\) −5565.97 + 6873.41i −0.266709 + 0.329358i
\(759\) −13443.7 + 14930.8i −0.642921 + 0.714036i
\(760\) 26367.2 1576.79i 1.25847 0.0752581i
\(761\) 26231.7 23619.1i 1.24954 1.12509i 0.262443 0.964948i \(-0.415472\pi\)
0.987094 0.160141i \(-0.0511948\pi\)
\(762\) 24940.9 48949.4i 1.18572 2.32710i
\(763\) −23051.0 + 22304.1i −1.09371 + 1.05827i
\(764\) −92.4398 30.0355i −0.00437743 0.00142231i
\(765\) −9290.24 33676.9i −0.439071 1.59162i
\(766\) −22583.4 20334.2i −1.06524 0.959143i
\(767\) 11973.5 4596.19i 0.563673 0.216374i
\(768\)