Properties

Label 201.4.m.a.10.3
Level $201$
Weight $4$
Character 201.10
Analytic conductor $11.859$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [201,4,Mod(4,201)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(201, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([0, 2]))
 
N = Newforms(chi, 4, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("201.4");
 
S:= CuspForms(chi, 4);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 201 = 3 \cdot 67 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 201.m (of order \(33\), degree \(20\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(11.8593839112\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 10.3
Character \(\chi\) \(=\) 201.10
Dual form 201.4.m.a.181.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-3.14869 - 3.00227i) q^{2} +(-0.426945 - 2.96946i) q^{3} +(0.519968 + 10.9155i) q^{4} +(-2.82594 + 6.18794i) q^{5} +(-7.57081 + 10.6317i) q^{6} +(-4.75860 + 19.6152i) q^{7} +(8.34160 - 9.62671i) q^{8} +(-8.63544 + 2.53559i) q^{9} +O(q^{10})\) \(q+(-3.14869 - 3.00227i) q^{2} +(-0.426945 - 2.96946i) q^{3} +(0.519968 + 10.9155i) q^{4} +(-2.82594 + 6.18794i) q^{5} +(-7.57081 + 10.6317i) q^{6} +(-4.75860 + 19.6152i) q^{7} +(8.34160 - 9.62671i) q^{8} +(-8.63544 + 2.53559i) q^{9} +(27.4759 - 10.9997i) q^{10} +(-7.75381 - 10.8887i) q^{11} +(32.1911 - 6.20433i) q^{12} +(3.78263 - 10.9292i) q^{13} +(73.8735 - 47.4756i) q^{14} +(19.5814 + 5.74962i) q^{15} +(31.8599 - 3.04225i) q^{16} +(3.93644 - 82.6360i) q^{17} +(34.8028 + 17.9421i) q^{18} +(1.89473 + 7.81017i) q^{19} +(-69.0138 - 27.6289i) q^{20} +(60.2783 + 5.75588i) q^{21} +(-8.27648 + 57.5642i) q^{22} +(85.7402 - 67.4269i) q^{23} +(-32.1476 - 20.6600i) q^{24} +(51.5529 + 59.4952i) q^{25} +(-44.7227 + 23.0562i) q^{26} +(11.2162 + 24.5601i) q^{27} +(-216.584 - 41.7431i) q^{28} +(79.6891 - 138.025i) q^{29} +(-44.3938 - 76.8924i) q^{30} +(-7.94746 - 22.9627i) q^{31} +(-189.552 - 149.066i) q^{32} +(-29.0232 + 27.6735i) q^{33} +(-260.490 + 248.377i) q^{34} +(-107.930 - 84.8773i) q^{35} +(-32.1674 - 92.9415i) q^{36} +(-7.51852 - 13.0225i) q^{37} +(17.4823 - 30.2803i) q^{38} +(-34.0688 - 6.56623i) q^{39} +(35.9967 + 78.8218i) q^{40} +(18.0959 - 9.32906i) q^{41} +(-172.517 - 199.095i) q^{42} +(-92.6626 - 59.5506i) q^{43} +(114.824 - 90.2983i) q^{44} +(8.71311 - 60.6010i) q^{45} +(-472.403 - 45.1090i) q^{46} +(4.00144 + 1.60193i) q^{47} +(-22.6363 - 93.3080i) q^{48} +(-57.2415 - 29.5100i) q^{49} +(16.2966 - 342.107i) q^{50} +(-247.065 + 23.5919i) q^{51} +(121.264 + 35.6064i) q^{52} +(32.9791 - 21.1944i) q^{53} +(38.4196 - 111.006i) q^{54} +(89.2905 - 17.2093i) q^{55} +(149.136 + 209.432i) q^{56} +(22.3831 - 8.96084i) q^{57} +(-665.306 + 195.351i) q^{58} +(517.829 - 597.606i) q^{59} +(-52.5781 + 216.730i) q^{60} +(202.543 - 284.432i) q^{61} +(-43.9161 + 96.1628i) q^{62} +(-8.64361 - 181.452i) q^{63} +(112.868 + 785.016i) q^{64} +(56.9398 + 54.2920i) q^{65} +174.468 q^{66} +(-25.6205 + 547.820i) q^{67} +904.058 q^{68} +(-236.828 - 225.815i) q^{69} +(85.0144 + 591.288i) q^{70} +(17.0047 + 356.973i) q^{71} +(-47.6239 + 104.282i) q^{72} +(42.4714 - 59.6427i) q^{73} +(-15.4234 + 63.5762i) q^{74} +(154.659 - 178.486i) q^{75} +(-84.2666 + 24.7429i) q^{76} +(250.481 - 100.278i) q^{77} +(87.5586 + 122.959i) q^{78} +(1358.41 - 261.812i) q^{79} +(-71.2089 + 205.745i) q^{80} +(68.1415 - 43.7919i) q^{81} +(-84.9865 - 24.9543i) q^{82} +(578.515 - 55.2415i) q^{83} +(-31.4854 + 660.959i) q^{84} +(500.223 + 257.883i) q^{85} +(112.979 + 465.704i) q^{86} +(-443.885 - 177.705i) q^{87} +(-169.502 - 16.1854i) q^{88} +(-30.6215 + 212.977i) q^{89} +(-209.375 + 164.655i) q^{90} +(196.379 + 126.205i) q^{91} +(780.578 + 900.836i) q^{92} +(-64.7938 + 33.4035i) q^{93} +(-7.78985 - 17.0574i) q^{94} +(-53.6833 - 10.3466i) q^{95} +(-361.717 + 626.512i) q^{96} +(-33.8167 - 58.5723i) q^{97} +(91.6385 + 264.772i) q^{98} +(94.5669 + 74.3682i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q - 2 q^{2} - 96 q^{3} + 66 q^{4} - 4 q^{5} + 27 q^{6} + 14 q^{7} + 123 q^{8} - 288 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q - 2 q^{2} - 96 q^{3} + 66 q^{4} - 4 q^{5} + 27 q^{6} + 14 q^{7} + 123 q^{8} - 288 q^{9} + 35 q^{10} - 192 q^{11} + 33 q^{12} - 88 q^{13} - 214 q^{14} + 54 q^{15} + 298 q^{16} - 272 q^{17} - 18 q^{18} - 64 q^{19} - 164 q^{20} + 42 q^{21} + 473 q^{22} - 732 q^{23} - 324 q^{24} - 484 q^{25} - 353 q^{26} - 864 q^{27} + 4338 q^{28} + 1646 q^{29} + 666 q^{30} + 302 q^{31} + 910 q^{32} + 612 q^{33} - 138 q^{34} - 552 q^{35} + 99 q^{36} + 3388 q^{37} + 194 q^{38} - 264 q^{39} + 2003 q^{40} + 1152 q^{41} + 18 q^{42} - 2788 q^{43} - 2439 q^{44} - 36 q^{45} - 477 q^{46} - 512 q^{47} + 894 q^{48} + 5020 q^{49} - 4098 q^{50} - 90 q^{51} - 2992 q^{52} - 368 q^{53} - 54 q^{54} - 2492 q^{55} + 2775 q^{56} + 1194 q^{57} + 2088 q^{58} - 364 q^{59} - 8874 q^{60} + 14 q^{61} + 1762 q^{62} - 666 q^{63} - 10293 q^{64} + 5568 q^{65} - 4290 q^{66} - 1562 q^{67} + 4726 q^{68} - 1800 q^{69} - 2498 q^{70} + 6194 q^{71} - 2556 q^{72} - 2154 q^{73} + 3221 q^{74} - 1452 q^{75} - 8038 q^{76} + 1358 q^{77} + 1845 q^{78} + 4924 q^{79} - 2143 q^{80} - 2592 q^{81} + 5080 q^{82} + 2606 q^{83} + 243 q^{84} + 2786 q^{85} + 6437 q^{86} - 144 q^{87} - 2884 q^{88} + 3018 q^{89} + 315 q^{90} + 5506 q^{91} - 15636 q^{92} - 2526 q^{93} + 2358 q^{94} - 140 q^{95} + 1575 q^{96} + 2408 q^{97} - 7221 q^{98} - 144 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).

\(n\) \(68\) \(136\)
\(\chi(n)\) \(1\) \(e\left(\frac{8}{33}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.14869 3.00227i −1.11323 1.06146i −0.997674 0.0681611i \(-0.978287\pi\)
−0.115555 0.993301i \(-0.536865\pi\)
\(3\) −0.426945 2.96946i −0.0821655 0.571474i
\(4\) 0.519968 + 10.9155i 0.0649960 + 1.36443i
\(5\) −2.82594 + 6.18794i −0.252760 + 0.553466i −0.992895 0.118991i \(-0.962034\pi\)
0.740136 + 0.672458i \(0.234761\pi\)
\(6\) −7.57081 + 10.6317i −0.515129 + 0.723397i
\(7\) −4.75860 + 19.6152i −0.256940 + 1.05912i 0.686382 + 0.727242i \(0.259198\pi\)
−0.943322 + 0.331880i \(0.892317\pi\)
\(8\) 8.34160 9.62671i 0.368650 0.425445i
\(9\) −8.63544 + 2.53559i −0.319831 + 0.0939109i
\(10\) 27.4759 10.9997i 0.868863 0.347840i
\(11\) −7.75381 10.8887i −0.212533 0.298461i 0.694523 0.719470i \(-0.255615\pi\)
−0.907056 + 0.421009i \(0.861676\pi\)
\(12\) 32.1911 6.20433i 0.774398 0.149253i
\(13\) 3.78263 10.9292i 0.0807011 0.233170i −0.897431 0.441155i \(-0.854569\pi\)
0.978132 + 0.207984i \(0.0666903\pi\)
\(14\) 73.8735 47.4756i 1.41025 0.906313i
\(15\) 19.5814 + 5.74962i 0.337060 + 0.0989696i
\(16\) 31.8599 3.04225i 0.497811 0.0475352i
\(17\) 3.93644 82.6360i 0.0561604 1.17895i −0.778303 0.627888i \(-0.783919\pi\)
0.834464 0.551063i \(-0.185778\pi\)
\(18\) 34.8028 + 17.9421i 0.455728 + 0.234944i
\(19\) 1.89473 + 7.81017i 0.0228779 + 0.0943040i 0.982106 0.188329i \(-0.0603072\pi\)
−0.959228 + 0.282633i \(0.908792\pi\)
\(20\) −69.0138 27.6289i −0.771597 0.308901i
\(21\) 60.2783 + 5.75588i 0.626372 + 0.0598112i
\(22\) −8.27648 + 57.5642i −0.0802068 + 0.557851i
\(23\) 85.7402 67.4269i 0.777307 0.611281i −0.148658 0.988889i \(-0.547495\pi\)
0.925966 + 0.377607i \(0.123253\pi\)
\(24\) −32.1476 20.6600i −0.273421 0.175717i
\(25\) 51.5529 + 59.4952i 0.412423 + 0.475962i
\(26\) −44.7227 + 23.0562i −0.337340 + 0.173911i
\(27\) 11.2162 + 24.5601i 0.0799467 + 0.175059i
\(28\) −216.584 41.7431i −1.46180 0.281739i
\(29\) 79.6891 138.025i 0.510272 0.883817i −0.489657 0.871915i \(-0.662878\pi\)
0.999929 0.0119019i \(-0.00378857\pi\)
\(30\) −44.3938 76.8924i −0.270172 0.467952i
\(31\) −7.94746 22.9627i −0.0460454 0.133039i 0.919634 0.392776i \(-0.128485\pi\)
−0.965679 + 0.259737i \(0.916364\pi\)
\(32\) −189.552 149.066i −1.04714 0.823479i
\(33\) −29.0232 + 27.6735i −0.153100 + 0.145980i
\(34\) −260.490 + 248.377i −1.31393 + 1.25283i
\(35\) −107.930 84.8773i −0.521244 0.409911i
\(36\) −32.1674 92.9415i −0.148923 0.430285i
\(37\) −7.51852 13.0225i −0.0334064 0.0578616i 0.848839 0.528652i \(-0.177302\pi\)
−0.882245 + 0.470790i \(0.843969\pi\)
\(38\) 17.4823 30.2803i 0.0746318 0.129266i
\(39\) −34.0688 6.56623i −0.139882 0.0269600i
\(40\) 35.9967 + 78.8218i 0.142290 + 0.311571i
\(41\) 18.0959 9.32906i 0.0689292 0.0355355i −0.423417 0.905935i \(-0.639170\pi\)
0.492347 + 0.870399i \(0.336139\pi\)
\(42\) −172.517 199.095i −0.633808 0.731453i
\(43\) −92.6626 59.5506i −0.328626 0.211195i 0.365915 0.930648i \(-0.380756\pi\)
−0.694541 + 0.719453i \(0.744392\pi\)
\(44\) 114.824 90.2983i 0.393416 0.309386i
\(45\) 8.71311 60.6010i 0.0288639 0.200753i
\(46\) −472.403 45.1090i −1.51417 0.144586i
\(47\) 4.00144 + 1.60193i 0.0124185 + 0.00497162i 0.377863 0.925861i \(-0.376659\pi\)
−0.365445 + 0.930833i \(0.619083\pi\)
\(48\) −22.6363 93.3080i −0.0680680 0.280580i
\(49\) −57.2415 29.5100i −0.166885 0.0860351i
\(50\) 16.2966 342.107i 0.0460937 0.967626i
\(51\) −247.065 + 23.5919i −0.678354 + 0.0647750i
\(52\) 121.264 + 35.6064i 0.323391 + 0.0949562i
\(53\) 32.9791 21.1944i 0.0854722 0.0549296i −0.497207 0.867632i \(-0.665641\pi\)
0.582679 + 0.812703i \(0.302005\pi\)
\(54\) 38.4196 111.006i 0.0968193 0.279741i
\(55\) 89.2905 17.2093i 0.218908 0.0421910i
\(56\) 149.136 + 209.432i 0.355877 + 0.499759i
\(57\) 22.3831 8.96084i 0.0520125 0.0208227i
\(58\) −665.306 + 195.351i −1.50619 + 0.442257i
\(59\) 517.829 597.606i 1.14264 1.31867i 0.201951 0.979396i \(-0.435272\pi\)
0.940686 0.339278i \(-0.110183\pi\)
\(60\) −52.5781 + 216.730i −0.113130 + 0.466328i
\(61\) 202.543 284.432i 0.425131 0.597013i −0.545344 0.838212i \(-0.683601\pi\)
0.970476 + 0.241199i \(0.0775405\pi\)
\(62\) −43.9161 + 96.1628i −0.0899572 + 0.196979i
\(63\) −8.64361 181.452i −0.0172856 0.362869i
\(64\) 112.868 + 785.016i 0.220446 + 1.53323i
\(65\) 56.9398 + 54.2920i 0.108654 + 0.103601i
\(66\) 174.468 0.325387
\(67\) −25.6205 + 547.820i −0.0467170 + 0.998908i
\(68\) 904.058 1.61225
\(69\) −236.828 225.815i −0.413199 0.393985i
\(70\) 85.0144 + 591.288i 0.145159 + 1.00961i
\(71\) 17.0047 + 356.973i 0.0284238 + 0.596689i 0.967483 + 0.252935i \(0.0813958\pi\)
−0.939060 + 0.343755i \(0.888301\pi\)
\(72\) −47.6239 + 104.282i −0.0779518 + 0.170691i
\(73\) 42.4714 59.6427i 0.0680945 0.0956254i −0.779124 0.626870i \(-0.784336\pi\)
0.847219 + 0.531244i \(0.178275\pi\)
\(74\) −15.4234 + 63.5762i −0.0242289 + 0.0998728i
\(75\) 154.659 178.486i 0.238113 0.274797i
\(76\) −84.2666 + 24.7429i −0.127185 + 0.0373448i
\(77\) 250.481 100.278i 0.370714 0.148412i
\(78\) 87.5586 + 122.959i 0.127103 + 0.178492i
\(79\) 1358.41 261.812i 1.93459 0.372862i 0.934747 0.355313i \(-0.115626\pi\)
0.999846 0.0175492i \(-0.00558636\pi\)
\(80\) −71.2089 + 205.745i −0.0995174 + 0.287537i
\(81\) 68.1415 43.7919i 0.0934726 0.0600712i
\(82\) −84.9865 24.9543i −0.114454 0.0336066i
\(83\) 578.515 55.2415i 0.765063 0.0730547i 0.294774 0.955567i \(-0.404756\pi\)
0.470289 + 0.882512i \(0.344150\pi\)
\(84\) −31.4854 + 660.959i −0.0408969 + 0.858531i
\(85\) 500.223 + 257.883i 0.638315 + 0.329074i
\(86\) 112.979 + 465.704i 0.141660 + 0.583932i
\(87\) −443.885 177.705i −0.547005 0.218988i
\(88\) −169.502 16.1854i −0.205329 0.0196065i
\(89\) −30.6215 + 212.977i −0.0364705 + 0.253658i −0.999898 0.0143128i \(-0.995444\pi\)
0.963427 + 0.267971i \(0.0863530\pi\)
\(90\) −209.375 + 164.655i −0.245223 + 0.192846i
\(91\) 196.379 + 126.205i 0.226220 + 0.145383i
\(92\) 780.578 + 900.836i 0.884575 + 1.02085i
\(93\) −64.7938 + 33.4035i −0.0722452 + 0.0372450i
\(94\) −7.78985 17.0574i −0.00854746 0.0187163i
\(95\) −53.6833 10.3466i −0.0579767 0.0111741i
\(96\) −361.717 + 626.512i −0.384558 + 0.666074i
\(97\) −33.8167 58.5723i −0.0353976 0.0613105i 0.847784 0.530342i \(-0.177936\pi\)
−0.883181 + 0.469031i \(0.844603\pi\)
\(98\) 91.6385 + 264.772i 0.0944581 + 0.272919i
\(99\) 94.5669 + 74.3682i 0.0960033 + 0.0754978i
\(100\) −622.613 + 593.660i −0.622613 + 0.593660i
\(101\) 571.749 545.161i 0.563278 0.537085i −0.354045 0.935229i \(-0.615194\pi\)
0.917323 + 0.398144i \(0.130345\pi\)
\(102\) 848.761 + 667.473i 0.823920 + 0.647938i
\(103\) −374.358 1081.64i −0.358122 1.03473i −0.969859 0.243665i \(-0.921650\pi\)
0.611737 0.791061i \(-0.290471\pi\)
\(104\) −73.6591 127.581i −0.0694507 0.120292i
\(105\) −205.960 + 356.733i −0.191425 + 0.331558i
\(106\) −167.472 32.2776i −0.153456 0.0295762i
\(107\) −40.5718 88.8398i −0.0366563 0.0802660i 0.890418 0.455144i \(-0.150412\pi\)
−0.927074 + 0.374877i \(0.877685\pi\)
\(108\) −262.253 + 135.201i −0.233660 + 0.120460i
\(109\) 37.9894 + 43.8421i 0.0333828 + 0.0385258i 0.772195 0.635385i \(-0.219159\pi\)
−0.738813 + 0.673911i \(0.764613\pi\)
\(110\) −332.815 213.887i −0.288479 0.185394i
\(111\) −35.4597 + 27.8858i −0.0303215 + 0.0238451i
\(112\) −91.9341 + 639.416i −0.0775621 + 0.539456i
\(113\) −920.591 87.9058i −0.766389 0.0731813i −0.295463 0.955354i \(-0.595474\pi\)
−0.470926 + 0.882173i \(0.656080\pi\)
\(114\) −97.3802 38.9851i −0.0800043 0.0320289i
\(115\) 174.937 + 721.100i 0.141852 + 0.584721i
\(116\) 1548.05 + 798.075i 1.23908 + 0.638788i
\(117\) −4.95268 + 103.970i −0.00391347 + 0.0821538i
\(118\) −3424.66 + 327.015i −2.67174 + 0.255120i
\(119\) 1602.19 + 470.445i 1.23422 + 0.362400i
\(120\) 218.690 140.544i 0.166363 0.106915i
\(121\) 376.885 1088.94i 0.283159 0.818135i
\(122\) −1491.69 + 287.499i −1.10698 + 0.213352i
\(123\) −35.4282 49.7520i −0.0259712 0.0364714i
\(124\) 246.516 98.6902i 0.178531 0.0714729i
\(125\) −1329.73 + 390.444i −0.951477 + 0.279379i
\(126\) −517.551 + 597.285i −0.365929 + 0.422305i
\(127\) 412.933 1702.13i 0.288519 1.18929i −0.624385 0.781116i \(-0.714651\pi\)
0.912904 0.408174i \(-0.133834\pi\)
\(128\) 882.421 1239.19i 0.609342 0.855700i
\(129\) −137.272 + 300.583i −0.0936907 + 0.205154i
\(130\) −16.2866 341.897i −0.0109879 0.230664i
\(131\) 160.787 + 1118.30i 0.107237 + 0.745847i 0.970501 + 0.241096i \(0.0775068\pi\)
−0.863265 + 0.504752i \(0.831584\pi\)
\(132\) −317.161 302.412i −0.209131 0.199406i
\(133\) −162.214 −0.105758
\(134\) 1725.37 1647.99i 1.11231 1.06243i
\(135\) −183.673 −0.117096
\(136\) −762.677 727.211i −0.480875 0.458513i
\(137\) −177.655 1235.62i −0.110789 0.770555i −0.967155 0.254186i \(-0.918192\pi\)
0.856366 0.516369i \(-0.172717\pi\)
\(138\) 67.7402 + 1422.04i 0.0417857 + 0.877190i
\(139\) 568.039 1243.83i 0.346622 0.758997i −0.653376 0.757034i \(-0.726648\pi\)
0.999998 0.00196301i \(-0.000624845\pi\)
\(140\) 870.356 1222.24i 0.525418 0.737846i
\(141\) 3.04850 12.5661i 0.00182078 0.00750535i
\(142\) 1018.19 1175.05i 0.601721 0.694423i
\(143\) −148.335 + 43.5550i −0.0867438 + 0.0254703i
\(144\) −267.410 + 107.055i −0.154751 + 0.0619531i
\(145\) 628.897 + 883.163i 0.360187 + 0.505812i
\(146\) −312.793 + 60.2858i −0.177308 + 0.0341732i
\(147\) −63.1901 + 182.576i −0.0354546 + 0.102439i
\(148\) 138.237 88.8394i 0.0767770 0.0493416i
\(149\) −1681.38 493.699i −0.924459 0.271446i −0.215344 0.976538i \(-0.569087\pi\)
−0.709115 + 0.705093i \(0.750905\pi\)
\(150\) −1022.83 + 97.6688i −0.556760 + 0.0531641i
\(151\) −57.4041 + 1205.06i −0.0309369 + 0.649446i 0.929143 + 0.369720i \(0.120547\pi\)
−0.960080 + 0.279726i \(0.909756\pi\)
\(152\) 90.9913 + 46.9093i 0.0485551 + 0.0250319i
\(153\) 175.538 + 723.579i 0.0927545 + 0.382339i
\(154\) −1089.75 436.269i −0.570224 0.228283i
\(155\) 164.551 + 15.7127i 0.0852713 + 0.00814242i
\(156\) 53.9588 375.292i 0.0276934 0.192612i
\(157\) 2271.97 1786.70i 1.15492 0.908241i 0.158063 0.987429i \(-0.449475\pi\)
0.996860 + 0.0791878i \(0.0252327\pi\)
\(158\) −5063.23 3253.94i −2.54943 1.63842i
\(159\) −77.0162 88.8814i −0.0384137 0.0443318i
\(160\) 1458.07 751.689i 0.720442 0.371414i
\(161\) 914.588 + 2002.67i 0.447700 + 0.980326i
\(162\) −346.032 66.6921i −0.167820 0.0323446i
\(163\) 1000.80 1733.44i 0.480913 0.832966i −0.518847 0.854867i \(-0.673638\pi\)
0.999760 + 0.0219009i \(0.00697183\pi\)
\(164\) 111.240 + 192.674i 0.0529660 + 0.0917397i
\(165\) −89.2246 257.797i −0.0420977 0.121633i
\(166\) −1987.41 1562.92i −0.929236 0.730759i
\(167\) 283.774 270.578i 0.131492 0.125377i −0.621480 0.783430i \(-0.713468\pi\)
0.752972 + 0.658053i \(0.228620\pi\)
\(168\) 558.227 532.269i 0.256358 0.244437i
\(169\) 1621.82 + 1275.41i 0.738197 + 0.580525i
\(170\) −800.812 2313.79i −0.361291 1.04388i
\(171\) −36.1652 62.6400i −0.0161732 0.0280129i
\(172\) 601.842 1042.42i 0.266802 0.462115i
\(173\) −3336.93 643.140i −1.46648 0.282642i −0.607368 0.794421i \(-0.707774\pi\)
−0.859117 + 0.511779i \(0.828987\pi\)
\(174\) 864.137 + 1892.20i 0.376495 + 0.824408i
\(175\) −1412.33 + 728.107i −0.610069 + 0.314513i
\(176\) −280.162 323.324i −0.119989 0.138474i
\(177\) −1995.65 1282.53i −0.847472 0.544637i
\(178\) 735.833 578.665i 0.309848 0.243667i
\(179\) −607.177 + 4223.01i −0.253534 + 1.76337i 0.323100 + 0.946365i \(0.395275\pi\)
−0.576634 + 0.817002i \(0.695634\pi\)
\(180\) 666.020 + 63.5972i 0.275790 + 0.0263347i
\(181\) −706.353 282.781i −0.290071 0.116127i 0.222064 0.975032i \(-0.428721\pi\)
−0.512134 + 0.858905i \(0.671145\pi\)
\(182\) −239.434 986.961i −0.0975167 0.401969i
\(183\) −931.086 480.008i −0.376109 0.193897i
\(184\) 66.1112 1387.84i 0.0264879 0.556050i
\(185\) 101.829 9.72350i 0.0404682 0.00386425i
\(186\) 304.302 + 89.3510i 0.119960 + 0.0352233i
\(187\) −930.321 + 597.881i −0.363807 + 0.233804i
\(188\) −15.4053 + 44.5106i −0.00597630 + 0.0172674i
\(189\) −535.124 + 103.137i −0.205950 + 0.0396936i
\(190\) 137.969 + 193.750i 0.0526805 + 0.0739794i
\(191\) −539.176 + 215.854i −0.204259 + 0.0817729i −0.471536 0.881847i \(-0.656300\pi\)
0.267277 + 0.963620i \(0.413876\pi\)
\(192\) 2282.89 670.316i 0.858090 0.251958i
\(193\) −2185.75 + 2522.49i −0.815200 + 0.940791i −0.999111 0.0421518i \(-0.986579\pi\)
0.183911 + 0.982943i \(0.441124\pi\)
\(194\) −69.3714 + 285.953i −0.0256731 + 0.105826i
\(195\) 136.908 192.260i 0.0502779 0.0706054i
\(196\) 292.352 640.162i 0.106542 0.233295i
\(197\) 2.14225 + 44.9714i 0.000774767 + 0.0162644i 0.999222 0.0394482i \(-0.0125600\pi\)
−0.998447 + 0.0557125i \(0.982257\pi\)
\(198\) −74.4883 518.077i −0.0267356 0.185950i
\(199\) 1563.11 + 1490.43i 0.556815 + 0.530922i 0.915384 0.402581i \(-0.131887\pi\)
−0.358569 + 0.933503i \(0.616735\pi\)
\(200\) 1002.78 0.354535
\(201\) 1637.67 157.810i 0.574688 0.0553783i
\(202\) −3436.98 −1.19715
\(203\) 2328.19 + 2219.92i 0.804960 + 0.767528i
\(204\) −385.983 2684.57i −0.132472 0.921360i
\(205\) 6.58992 + 138.339i 0.00224517 + 0.0471319i
\(206\) −2068.63 + 4529.66i −0.699651 + 1.53202i
\(207\) −569.437 + 799.663i −0.191201 + 0.268504i
\(208\) 87.2650 359.711i 0.0290901 0.119911i
\(209\) 70.3513 81.1897i 0.0232837 0.0268709i
\(210\) 1719.51 504.894i 0.565036 0.165910i
\(211\) 2483.45 994.223i 0.810274 0.324385i 0.0707319 0.997495i \(-0.477467\pi\)
0.739542 + 0.673111i \(0.235042\pi\)
\(212\) 248.495 + 348.962i 0.0805032 + 0.113051i
\(213\) 1052.76 202.903i 0.338657 0.0652707i
\(214\) −138.973 + 401.536i −0.0443925 + 0.128264i
\(215\) 630.355 405.104i 0.199953 0.128502i
\(216\) 329.994 + 96.8949i 0.103950 + 0.0305225i
\(217\) 488.237 46.6209i 0.152736 0.0145845i
\(218\) 12.0090 252.100i 0.00373097 0.0783227i
\(219\) −195.240 100.653i −0.0602424 0.0310571i
\(220\) 234.276 + 965.700i 0.0717950 + 0.295943i
\(221\) −888.255 355.604i −0.270364 0.108238i
\(222\) 195.372 + 18.6558i 0.0590655 + 0.00564007i
\(223\) −127.594 + 887.438i −0.0383155 + 0.266490i −0.999970 0.00777450i \(-0.997525\pi\)
0.961654 + 0.274264i \(0.0884344\pi\)
\(224\) 3825.96 3008.77i 1.14122 0.897462i
\(225\) −596.037 383.050i −0.176604 0.113496i
\(226\) 2634.74 + 3040.65i 0.775488 + 0.894960i
\(227\) 2901.68 1495.92i 0.848418 0.437390i 0.0215380 0.999768i \(-0.493144\pi\)
0.826880 + 0.562378i \(0.190113\pi\)
\(228\) 109.450 + 239.663i 0.0317918 + 0.0696142i
\(229\) −2185.02 421.128i −0.630525 0.121524i −0.136031 0.990705i \(-0.543435\pi\)
−0.494494 + 0.869181i \(0.664647\pi\)
\(230\) 1614.11 2795.73i 0.462746 0.801499i
\(231\) −404.713 700.983i −0.115273 0.199659i
\(232\) −663.998 1918.50i −0.187903 0.542911i
\(233\) 1994.50 + 1568.49i 0.560789 + 0.441009i 0.857887 0.513838i \(-0.171777\pi\)
−0.297099 + 0.954847i \(0.596019\pi\)
\(234\) 327.739 312.499i 0.0915598 0.0873021i
\(235\) −21.2205 + 20.2337i −0.00589052 + 0.00561660i
\(236\) 6792.41 + 5341.61i 1.87351 + 1.47334i
\(237\) −1357.41 3921.97i −0.372038 1.07493i
\(238\) −3632.39 6291.49i −0.989299 1.71352i
\(239\) 1919.84 3325.25i 0.519598 0.899970i −0.480143 0.877190i \(-0.659415\pi\)
0.999741 0.0227795i \(-0.00725158\pi\)
\(240\) 641.353 + 123.611i 0.172497 + 0.0332460i
\(241\) 2440.05 + 5342.96i 0.652189 + 1.42809i 0.889626 + 0.456691i \(0.150965\pi\)
−0.237437 + 0.971403i \(0.576307\pi\)
\(242\) −4455.98 + 2297.22i −1.18364 + 0.610209i
\(243\) −159.131 183.647i −0.0420093 0.0484814i
\(244\) 3210.03 + 2062.96i 0.842218 + 0.541260i
\(245\) 344.367 270.813i 0.0897993 0.0706189i
\(246\) −37.8164 + 263.019i −0.00980115 + 0.0681685i
\(247\) 92.5260 + 8.83516i 0.0238352 + 0.00227598i
\(248\) −287.350 115.037i −0.0735755 0.0294552i
\(249\) −411.031 1694.29i −0.104611 0.431211i
\(250\) 5359.12 + 2762.82i 1.35576 + 0.698944i
\(251\) −371.220 + 7792.86i −0.0933514 + 1.95969i 0.147343 + 0.989085i \(0.452928\pi\)
−0.240695 + 0.970601i \(0.577375\pi\)
\(252\) 1976.14 188.698i 0.493988 0.0471701i
\(253\) −1399.00 410.785i −0.347647 0.102078i
\(254\) −6410.46 + 4119.75i −1.58357 + 1.01770i
\(255\) 552.206 1595.49i 0.135610 0.391819i
\(256\) −268.790 + 51.8051i −0.0656227 + 0.0126477i
\(257\) −1809.19 2540.65i −0.439121 0.616659i 0.534407 0.845227i \(-0.320535\pi\)
−0.973528 + 0.228568i \(0.926596\pi\)
\(258\) 1334.66 534.316i 0.322062 0.128934i
\(259\) 291.216 85.5086i 0.0698659 0.0205145i
\(260\) −563.016 + 649.755i −0.134295 + 0.154985i
\(261\) −338.173 + 1393.97i −0.0802008 + 0.330592i
\(262\) 2851.16 4003.89i 0.672310 0.944127i
\(263\) −741.502 + 1623.66i −0.173852 + 0.380682i −0.976420 0.215878i \(-0.930739\pi\)
0.802569 + 0.596560i \(0.203466\pi\)
\(264\) 24.3057 + 510.239i 0.00566633 + 0.118951i
\(265\) 37.9527 + 263.967i 0.00879779 + 0.0611900i
\(266\) 510.763 + 487.011i 0.117733 + 0.112258i
\(267\) 645.502 0.147955
\(268\) −5993.04 + 5.18924i −1.36598 + 0.00118277i
\(269\) 143.717 0.0325746 0.0162873 0.999867i \(-0.494815\pi\)
0.0162873 + 0.999867i \(0.494815\pi\)
\(270\) 578.328 + 551.434i 0.130355 + 0.124293i
\(271\) 543.263 + 3778.47i 0.121774 + 0.846959i 0.955544 + 0.294847i \(0.0952688\pi\)
−0.833770 + 0.552112i \(0.813822\pi\)
\(272\) −125.985 2644.75i −0.0280844 0.589565i
\(273\) 290.918 637.021i 0.0644951 0.141225i
\(274\) −3150.28 + 4423.95i −0.694581 + 0.975403i
\(275\) 248.094 1022.66i 0.0544024 0.224250i
\(276\) 2341.74 2702.51i 0.510710 0.589391i
\(277\) 2.58181 0.758088i 0.000560022 0.000164437i −0.281453 0.959575i \(-0.590816\pi\)
0.282013 + 0.959411i \(0.408998\pi\)
\(278\) −5522.90 + 2211.04i −1.19152 + 0.477011i
\(279\) 126.854 + 178.141i 0.0272206 + 0.0382260i
\(280\) −1717.40 + 331.002i −0.366551 + 0.0706469i
\(281\) −619.498 + 1789.92i −0.131516 + 0.379992i −0.991462 0.130393i \(-0.958376\pi\)
0.859946 + 0.510385i \(0.170497\pi\)
\(282\) −47.3255 + 30.4142i −0.00999358 + 0.00642249i
\(283\) 173.161 + 50.8445i 0.0363722 + 0.0106798i 0.299868 0.953981i \(-0.403057\pi\)
−0.263496 + 0.964661i \(0.584876\pi\)
\(284\) −3887.69 + 371.230i −0.812296 + 0.0775649i
\(285\) −7.80409 + 163.828i −0.00162202 + 0.0340503i
\(286\) 597.823 + 308.199i 0.123602 + 0.0637210i
\(287\) 96.8806 + 399.347i 0.0199257 + 0.0821349i
\(288\) 2014.84 + 806.619i 0.412241 + 0.165036i
\(289\) −1922.46 183.572i −0.391300 0.0373646i
\(290\) 671.290 4668.92i 0.135929 0.945409i
\(291\) −159.490 + 125.425i −0.0321289 + 0.0252664i
\(292\) 673.113 + 432.583i 0.134900 + 0.0866953i
\(293\) −5149.39 5942.71i −1.02673 1.18490i −0.982573 0.185879i \(-0.940487\pi\)
−0.0441526 0.999025i \(-0.514059\pi\)
\(294\) 747.107 385.160i 0.148205 0.0764048i
\(295\) 2234.60 + 4893.09i 0.441029 + 0.965719i
\(296\) −188.080 36.2494i −0.0369322 0.00711809i
\(297\) 180.459 312.564i 0.0352569 0.0610667i
\(298\) 3811.94 + 6602.47i 0.741006 + 1.28346i
\(299\) −412.598 1192.12i −0.0798032 0.230576i
\(300\) 2028.67 + 1595.37i 0.390418 + 0.307028i
\(301\) 1609.04 1534.22i 0.308118 0.293790i
\(302\) 3798.66 3622.01i 0.723802 0.690144i
\(303\) −1862.94 1465.03i −0.353212 0.277769i
\(304\) 84.1264 + 243.067i 0.0158716 + 0.0458581i
\(305\) 1187.68 + 2057.11i 0.222971 + 0.386197i
\(306\) 1619.66 2805.34i 0.302582 0.524087i
\(307\) −5823.94 1122.47i −1.08270 0.208674i −0.383460 0.923558i \(-0.625268\pi\)
−0.699243 + 0.714884i \(0.746480\pi\)
\(308\) 1224.82 + 2681.98i 0.226593 + 0.496169i
\(309\) −3052.05 + 1573.44i −0.561893 + 0.289676i
\(310\) −470.946 543.500i −0.0862836 0.0995766i
\(311\) 2840.84 + 1825.70i 0.517972 + 0.332881i 0.773369 0.633956i \(-0.218570\pi\)
−0.255397 + 0.966836i \(0.582206\pi\)
\(312\) −347.400 + 273.198i −0.0630373 + 0.0495731i
\(313\) −56.8750 + 395.574i −0.0102708 + 0.0714351i −0.994312 0.106505i \(-0.966034\pi\)
0.984041 + 0.177940i \(0.0569432\pi\)
\(314\) −12517.9 1195.31i −2.24976 0.214826i
\(315\) 1147.24 + 459.285i 0.205205 + 0.0821517i
\(316\) 3564.13 + 14691.5i 0.634487 + 2.61539i
\(317\) −8819.96 4547.01i −1.56271 0.805632i −0.562926 0.826507i \(-0.690325\pi\)
−0.999782 + 0.0208750i \(0.993355\pi\)
\(318\) −24.3459 + 511.083i −0.00429324 + 0.0901261i
\(319\) −2120.81 + 202.513i −0.372234 + 0.0355441i
\(320\) −5176.59 1519.98i −0.904313 0.265530i
\(321\) −246.485 + 158.406i −0.0428581 + 0.0275432i
\(322\) 3132.80 9051.62i 0.542186 1.56654i
\(323\) 652.860 125.828i 0.112465 0.0216758i
\(324\) 513.441 + 721.027i 0.0880386 + 0.123633i
\(325\) 845.241 338.383i 0.144263 0.0577542i
\(326\) −8355.47 + 2453.39i −1.41953 + 0.416811i
\(327\) 113.968 131.526i 0.0192736 0.0222429i
\(328\) 61.1401 252.023i 0.0102924 0.0424257i
\(329\) −50.4635 + 70.8661i −0.00845636 + 0.0118753i
\(330\) −493.037 + 1079.60i −0.0822448 + 0.180091i
\(331\) −227.226 4770.05i −0.0377325 0.792102i −0.935861 0.352369i \(-0.885376\pi\)
0.898129 0.439733i \(-0.144927\pi\)
\(332\) 903.796 + 6286.04i 0.149404 + 1.03913i
\(333\) 97.9453 + 93.3907i 0.0161182 + 0.0153687i
\(334\) −1705.87 −0.279464
\(335\) −3317.48 1706.64i −0.541054 0.278340i
\(336\) 1937.97 0.314658
\(337\) −5110.24 4872.60i −0.826031 0.787619i 0.153662 0.988124i \(-0.450893\pi\)
−0.979693 + 0.200505i \(0.935742\pi\)
\(338\) −1277.47 8885.02i −0.205578 1.42983i
\(339\) 132.008 + 2771.19i 0.0211496 + 0.443984i
\(340\) −2554.81 + 5594.26i −0.407512 + 0.892327i
\(341\) −188.411 + 264.586i −0.0299209 + 0.0420180i
\(342\) −74.1891 + 305.811i −0.0117301 + 0.0483520i
\(343\) −3682.48 + 4249.80i −0.579694 + 0.669003i
\(344\) −1346.23 + 395.289i −0.211000 + 0.0619551i
\(345\) 2066.59 827.339i 0.322497 0.129108i
\(346\) 8576.06 + 12043.4i 1.33252 + 1.87126i
\(347\) 9780.88 1885.11i 1.51316 0.291637i 0.635943 0.771736i \(-0.280611\pi\)
0.877214 + 0.480099i \(0.159399\pi\)
\(348\) 1708.92 4937.61i 0.263241 0.760586i
\(349\) 921.762 592.380i 0.141378 0.0908579i −0.468040 0.883707i \(-0.655040\pi\)
0.609418 + 0.792849i \(0.291403\pi\)
\(350\) 6632.96 + 1947.61i 1.01299 + 0.297441i
\(351\) 310.849 29.6824i 0.0472703 0.00451377i
\(352\) −153.378 + 3219.81i −0.0232247 + 0.487546i
\(353\) 4008.91 + 2066.74i 0.604456 + 0.311619i 0.733151 0.680065i \(-0.238049\pi\)
−0.128695 + 0.991684i \(0.541079\pi\)
\(354\) 2433.20 + 10029.8i 0.365319 + 1.50587i
\(355\) −2256.99 903.561i −0.337432 0.135087i
\(356\) −2340.67 223.507i −0.348470 0.0332749i
\(357\) 712.925 4958.50i 0.105692 0.735103i
\(358\) 14590.4 11474.0i 2.15399 1.69392i
\(359\) 474.056 + 304.657i 0.0696928 + 0.0447889i 0.575023 0.818137i \(-0.304993\pi\)
−0.505330 + 0.862926i \(0.668629\pi\)
\(360\) −510.707 589.388i −0.0747685 0.0862874i
\(361\) 6039.11 3113.38i 0.880466 0.453912i
\(362\) 1375.10 + 3011.05i 0.199651 + 0.437175i
\(363\) −3394.47 654.231i −0.490809 0.0945956i
\(364\) −1275.47 + 2209.19i −0.183662 + 0.318112i
\(365\) 249.044 + 431.357i 0.0357139 + 0.0618583i
\(366\) 1490.59 + 4306.77i 0.212880 + 0.615077i
\(367\) −2750.24 2162.81i −0.391176 0.307624i 0.403129 0.915143i \(-0.367922\pi\)
−0.794305 + 0.607519i \(0.792165\pi\)
\(368\) 2526.55 2409.06i 0.357895 0.341252i
\(369\) −132.611 + 126.444i −0.0187085 + 0.0178385i
\(370\) −349.821 275.102i −0.0491522 0.0386537i
\(371\) 258.798 + 747.747i 0.0362159 + 0.104639i
\(372\) −398.306 689.886i −0.0555140 0.0961530i
\(373\) 3843.96 6657.93i 0.533600 0.924222i −0.465630 0.884979i \(-0.654172\pi\)
0.999230 0.0392422i \(-0.0124944\pi\)
\(374\) 4724.29 + 910.532i 0.653174 + 0.125889i
\(375\) 1727.13 + 3781.89i 0.237836 + 0.520789i
\(376\) 48.7998 25.1580i 0.00669323 0.00345060i
\(377\) −1207.07 1393.04i −0.164900 0.190305i
\(378\) 1994.58 + 1281.84i 0.271403 + 0.174420i
\(379\) −1521.21 + 1196.29i −0.206172 + 0.162135i −0.715906 0.698197i \(-0.753986\pi\)
0.509734 + 0.860332i \(0.329744\pi\)
\(380\) 85.0245 591.359i 0.0114781 0.0798317i
\(381\) −5230.72 499.473i −0.703354 0.0671622i
\(382\) 2345.75 + 939.096i 0.314186 + 0.125781i
\(383\) 1924.78 + 7934.07i 0.256793 + 1.05852i 0.943445 + 0.331530i \(0.107565\pi\)
−0.686651 + 0.726987i \(0.740920\pi\)
\(384\) −4056.47 2091.25i −0.539077 0.277914i
\(385\) −87.3329 + 1833.34i −0.0115608 + 0.242690i
\(386\) 14455.4 1380.33i 1.90612 0.182012i
\(387\) 951.178 + 279.291i 0.124938 + 0.0366852i
\(388\) 621.761 399.581i 0.0813534 0.0522827i
\(389\) 1823.66 5269.11i 0.237694 0.686772i −0.761558 0.648097i \(-0.775565\pi\)
0.999252 0.0386751i \(-0.0123137\pi\)
\(390\) −1008.30 + 194.333i −0.130916 + 0.0252319i
\(391\) −5234.37 7350.65i −0.677017 0.950737i
\(392\) −761.570 + 304.887i −0.0981252 + 0.0392834i
\(393\) 3252.09 954.901i 0.417421 0.122566i
\(394\) 128.271 148.032i 0.0164015 0.0189283i
\(395\) −2218.70 + 9145.62i −0.282620 + 1.16498i
\(396\) −762.593 + 1070.91i −0.0967720 + 0.135897i
\(397\) 6389.88 13991.9i 0.807806 1.76885i 0.191244 0.981543i \(-0.438748\pi\)
0.616563 0.787306i \(-0.288525\pi\)
\(398\) −447.099 9385.77i −0.0563092 1.18208i
\(399\) 69.2565 + 481.690i 0.00868963 + 0.0604377i
\(400\) 1823.47 + 1738.67i 0.227934 + 0.217334i
\(401\) 162.301 0.0202118 0.0101059 0.999949i \(-0.496783\pi\)
0.0101059 + 0.999949i \(0.496783\pi\)
\(402\) −5630.30 4419.83i −0.698542 0.548361i
\(403\) −281.026 −0.0347368
\(404\) 6247.99 + 5957.44i 0.769428 + 0.733648i
\(405\) 78.4180 + 545.409i 0.00962129 + 0.0669175i
\(406\) −665.935 13979.7i −0.0814035 1.70887i
\(407\) −83.5005 + 182.841i −0.0101694 + 0.0222680i
\(408\) −1833.81 + 2575.22i −0.222517 + 0.312481i
\(409\) 2344.51 9664.21i 0.283444 1.16837i −0.634901 0.772593i \(-0.718959\pi\)
0.918345 0.395780i \(-0.129526\pi\)
\(410\) 394.583 455.373i 0.0475294 0.0548518i
\(411\) −3593.28 + 1055.08i −0.431249 + 0.126626i
\(412\) 11611.9 4648.71i 1.38854 0.555887i
\(413\) 9258.03 + 13001.1i 1.10305 + 1.54901i
\(414\) 4193.78 808.285i 0.497858 0.0959542i
\(415\) −1293.02 + 3735.93i −0.152944 + 0.441902i
\(416\) −2346.18 + 1507.80i −0.276516 + 0.177706i
\(417\) −3936.04 1155.73i −0.462227 0.135722i
\(418\) −465.268 + 44.4277i −0.0544425 + 0.00519863i
\(419\) 212.120 4452.95i 0.0247321 0.519190i −0.952179 0.305542i \(-0.901162\pi\)
0.976911 0.213648i \(-0.0685346\pi\)
\(420\) −4001.00 2062.66i −0.464831 0.239637i
\(421\) −1570.52 6473.79i −0.181812 0.749437i −0.987568 0.157191i \(-0.949756\pi\)
0.805757 0.592247i \(-0.201759\pi\)
\(422\) −10804.5 4325.48i −1.24634 0.498960i
\(423\) −38.6160 3.68738i −0.00443871 0.000423846i
\(424\) 71.0660 494.275i 0.00813979 0.0566135i
\(425\) 5119.38 4025.92i 0.584297 0.459496i
\(426\) −3923.98 2521.79i −0.446285 0.286810i
\(427\) 4615.38 + 5326.43i 0.523076 + 0.603662i
\(428\) 948.633 489.054i 0.107135 0.0552321i
\(429\) 192.666 + 421.879i 0.0216829 + 0.0474790i
\(430\) −3201.02 616.947i −0.358993 0.0691902i
\(431\) −7189.92 + 12453.3i −0.803541 + 1.39177i 0.113730 + 0.993512i \(0.463720\pi\)
−0.917272 + 0.398262i \(0.869613\pi\)
\(432\) 432.065 + 748.359i 0.0481198 + 0.0833459i
\(433\) −2584.94 7468.70i −0.286892 0.828921i −0.992710 0.120527i \(-0.961541\pi\)
0.705818 0.708393i \(-0.250580\pi\)
\(434\) −1677.27 1319.02i −0.185511 0.145887i
\(435\) 2354.02 2244.55i 0.259463 0.247398i
\(436\) −458.805 + 437.469i −0.0503962 + 0.0480527i
\(437\) 689.070 + 541.890i 0.0754295 + 0.0593184i
\(438\) 312.562 + 903.088i 0.0340977 + 0.0985188i
\(439\) −3695.37 6400.58i −0.401755 0.695861i 0.592182 0.805804i \(-0.298266\pi\)
−0.993938 + 0.109943i \(0.964933\pi\)
\(440\) 579.156 1003.13i 0.0627504 0.108687i
\(441\) 569.131 + 109.691i 0.0614546 + 0.0118444i
\(442\) 1729.22 + 3786.47i 0.186087 + 0.407475i
\(443\) −15928.8 + 8211.87i −1.70835 + 0.880718i −0.727466 + 0.686144i \(0.759302\pi\)
−0.980888 + 0.194574i \(0.937668\pi\)
\(444\) −322.825 372.560i −0.0345059 0.0398219i
\(445\) −1231.36 791.345i −0.131173 0.0842997i
\(446\) 3066.08 2411.19i 0.325523 0.255994i
\(447\) −748.164 + 5203.59i −0.0791654 + 0.550608i
\(448\) −15935.3 1521.64i −1.68052 0.160470i
\(449\) 3594.50 + 1439.02i 0.377806 + 0.151251i 0.552790 0.833321i \(-0.313563\pi\)
−0.174984 + 0.984571i \(0.555987\pi\)
\(450\) 726.717 + 2995.57i 0.0761284 + 0.313805i
\(451\) −241.893 124.705i −0.0252557 0.0130202i
\(452\) 480.856 10094.4i 0.0500388 1.05044i
\(453\) 3602.89 344.034i 0.373683 0.0356824i
\(454\) −13627.6 4001.43i −1.40876 0.413648i
\(455\) −1335.90 + 858.532i −0.137644 + 0.0884585i
\(456\) 100.447 290.223i 0.0103155 0.0298047i
\(457\) −4183.59 + 806.321i −0.428228 + 0.0825342i −0.398811 0.917033i \(-0.630577\pi\)
−0.0294168 + 0.999567i \(0.509365\pi\)
\(458\) 5615.61 + 7886.02i 0.572926 + 0.804562i
\(459\) 2073.70 830.183i 0.210876 0.0844218i
\(460\) −7780.19 + 2284.47i −0.788594 + 0.231552i
\(461\) −8037.92 + 9276.25i −0.812067 + 0.937176i −0.998978 0.0452012i \(-0.985607\pi\)
0.186910 + 0.982377i \(0.440153\pi\)
\(462\) −830.224 + 3422.23i −0.0836051 + 0.344625i
\(463\) −7615.08 + 10693.9i −0.764369 + 1.07341i 0.230583 + 0.973053i \(0.425937\pi\)
−0.994952 + 0.100353i \(0.968003\pi\)
\(464\) 2118.98 4639.91i 0.212007 0.464230i
\(465\) −23.5958 495.336i −0.00235318 0.0493993i
\(466\) −1571.02 10926.7i −0.156172 1.08620i
\(467\) 148.432 + 141.529i 0.0147079 + 0.0140240i 0.697397 0.716685i \(-0.254341\pi\)
−0.682689 + 0.730709i \(0.739190\pi\)
\(468\) −1137.45 −0.112348
\(469\) −10623.7 3109.40i −1.04596 0.306139i
\(470\) 127.564 0.0125193
\(471\) −6275.54 5983.71i −0.613931 0.585382i
\(472\) −1433.47 9969.98i −0.139790 0.972258i
\(473\) 70.0590 + 1470.72i 0.00681040 + 0.142968i
\(474\) −7500.75 + 16424.3i −0.726837 + 1.59155i
\(475\) −366.989 + 515.364i −0.0354497 + 0.0497822i
\(476\) −4302.05 + 17733.3i −0.414252 + 1.70757i
\(477\) −231.048 + 266.644i −0.0221782 + 0.0255950i
\(478\) −16028.3 + 4706.33i −1.53372 + 0.450340i
\(479\) 19196.3 7685.03i 1.83111 0.733064i 0.854013 0.520252i \(-0.174162\pi\)
0.977093 0.212812i \(-0.0682623\pi\)
\(480\) −2854.63 4008.77i −0.271449 0.381197i
\(481\) −170.765 + 32.9122i −0.0161875 + 0.00311989i
\(482\) 8358.06 24149.0i 0.789832 2.28207i
\(483\) 5556.38 3570.87i 0.523445 0.336398i
\(484\) 12082.2 + 3547.67i 1.13470 + 0.333177i
\(485\) 458.006 43.7343i 0.0428804 0.00409458i
\(486\) −50.3036 + 1056.00i −0.00469510 + 0.0985622i
\(487\) 2017.79 + 1040.24i 0.187751 + 0.0967924i 0.549539 0.835468i \(-0.314803\pi\)
−0.361788 + 0.932260i \(0.617834\pi\)
\(488\) −1048.61 4322.45i −0.0972716 0.400959i
\(489\) −5574.68 2231.76i −0.515533 0.206388i
\(490\) −1897.36 181.176i −0.174927 0.0167035i
\(491\) 1405.37 9774.57i 0.129172 0.898412i −0.817435 0.576021i \(-0.804604\pi\)
0.946607 0.322391i \(-0.104486\pi\)
\(492\) 524.645 412.586i 0.0480749 0.0378065i
\(493\) −11092.2 7128.51i −1.01332 0.651221i
\(494\) −264.810 305.607i −0.0241182 0.0278338i
\(495\) −727.426 + 375.014i −0.0660513 + 0.0340518i
\(496\) −323.064 707.411i −0.0292460 0.0640397i
\(497\) −7083.02 1365.14i −0.639270 0.123209i
\(498\) −3792.52 + 6568.83i −0.341258 + 0.591077i
\(499\) −3092.87 5357.00i −0.277466 0.480586i 0.693288 0.720661i \(-0.256161\pi\)
−0.970754 + 0.240075i \(0.922828\pi\)
\(500\) −4953.30 14311.6i −0.443036 1.28007i
\(501\) −924.629 727.136i −0.0824538 0.0648424i
\(502\) 24565.1 23422.8i 2.18405 2.08249i
\(503\) −1369.02 + 1305.36i −0.121355 + 0.115712i −0.748327 0.663330i \(-0.769143\pi\)
0.626972 + 0.779042i \(0.284294\pi\)
\(504\) −1818.89 1430.39i −0.160753 0.126418i
\(505\) 1757.70 + 5078.54i 0.154884 + 0.447509i
\(506\) 3171.74 + 5493.62i 0.278658 + 0.482651i
\(507\) 3094.87 5360.47i 0.271100 0.469559i
\(508\) 18794.3 + 3622.31i 1.64146 + 0.316366i
\(509\) −1269.79 2780.46i −0.110575 0.242125i 0.846252 0.532782i \(-0.178853\pi\)
−0.956827 + 0.290657i \(0.906126\pi\)
\(510\) −6528.83 + 3365.85i −0.566866 + 0.292239i
\(511\) 967.800 + 1116.90i 0.0837827 + 0.0966904i
\(512\) −9236.29 5935.80i −0.797247 0.512359i
\(513\) −170.567 + 134.135i −0.0146797 + 0.0115443i
\(514\) −1931.14 + 13431.4i −0.165718 + 1.15259i
\(515\) 7751.02 + 740.132i 0.663205 + 0.0633284i
\(516\) −3352.38 1342.09i −0.286009 0.114501i
\(517\) −13.5834 55.9916i −0.00115551 0.00476307i
\(518\) −1173.67 605.068i −0.0995521 0.0513227i
\(519\) −485.098 + 10183.5i −0.0410279 + 0.861281i
\(520\) 997.622 95.2614i 0.0841320 0.00803363i
\(521\) −1444.73 424.212i −0.121487 0.0356719i 0.220424 0.975404i \(-0.429256\pi\)
−0.341911 + 0.939732i \(0.611074\pi\)
\(522\) 5249.87 3373.89i 0.440193 0.282895i
\(523\) −3983.04 + 11508.2i −0.333013 + 0.962179i 0.646869 + 0.762601i \(0.276078\pi\)
−0.979882 + 0.199578i \(0.936043\pi\)
\(524\) −12123.1 + 2336.54i −1.01069 + 0.194795i
\(525\) 2765.07 + 3883.00i 0.229862 + 0.322796i
\(526\) 7209.43 2886.22i 0.597616 0.239249i
\(527\) −1928.83 + 566.355i −0.159433 + 0.0468137i
\(528\) −840.486 + 969.972i −0.0692755 + 0.0799482i
\(529\) −63.4744 + 261.645i −0.00521693 + 0.0215045i
\(530\) 672.998 945.093i 0.0551569 0.0774570i
\(531\) −2956.39 + 6473.60i −0.241613 + 0.529059i
\(532\) −84.3463 1770.65i −0.00687383 0.144299i
\(533\) −33.5092 233.062i −0.00272316 0.0189400i
\(534\) −2032.49 1937.97i −0.164708 0.157049i
\(535\) 664.389 0.0536898
\(536\) 5059.99 + 4816.33i 0.407758 + 0.388123i
\(537\) 12799.3 1.02855
\(538\) −452.519 431.476i −0.0362630 0.0345767i
\(539\) 122.514 + 852.101i 0.00979041 + 0.0680938i
\(540\) −95.5039 2004.87i −0.00761080 0.159770i
\(541\) −2398.25 + 5251.43i −0.190589 + 0.417332i −0.980670 0.195671i \(-0.937311\pi\)
0.790080 + 0.613003i \(0.210039\pi\)
\(542\) 9633.43 13528.3i 0.763453 1.07212i
\(543\) −538.135 + 2218.22i −0.0425296 + 0.175309i
\(544\) −13064.3 + 15077.1i −1.02965 + 1.18828i
\(545\) −378.648 + 111.181i −0.0297606 + 0.00873850i
\(546\) −2828.52 + 1132.37i −0.221702 + 0.0887562i
\(547\) 4717.30 + 6624.53i 0.368734 + 0.517814i 0.956702 0.291070i \(-0.0940113\pi\)
−0.587968 + 0.808884i \(0.700072\pi\)
\(548\) 13395.0 2581.67i 1.04417 0.201247i
\(549\) −1027.85 + 2969.76i −0.0799041 + 0.230868i
\(550\) −3851.47 + 2475.19i −0.298595 + 0.191895i
\(551\) 1228.99 + 360.865i 0.0950214 + 0.0279008i
\(552\) −4149.38 + 396.218i −0.319944 + 0.0305510i
\(553\) −1328.63 + 27891.3i −0.102168 + 2.14477i
\(554\) −10.4053 5.36431i −0.000797976 0.000411385i
\(555\) −72.3489 298.226i −0.00553341 0.0228090i
\(556\) 13872.4 + 5553.67i 1.05813 + 0.423611i
\(557\) −1537.00 146.765i −0.116920 0.0111645i 0.0364318 0.999336i \(-0.488401\pi\)
−0.153352 + 0.988172i \(0.549007\pi\)
\(558\) 135.405 941.761i 0.0102727 0.0714479i
\(559\) −1001.35 + 787.470i −0.0757649 + 0.0595822i
\(560\) −3696.87 2375.83i −0.278966 0.179281i
\(561\) 2172.58 + 2507.29i 0.163505 + 0.188695i
\(562\) 7324.43 3776.00i 0.549755 0.283418i
\(563\) 10119.9 + 22159.6i 0.757557 + 1.65882i 0.752290 + 0.658833i \(0.228949\pi\)
0.00526758 + 0.999986i \(0.498323\pi\)
\(564\) 138.750 + 26.7418i 0.0103589 + 0.00199651i
\(565\) 3145.49 5448.15i 0.234216 0.405673i
\(566\) −392.580 679.968i −0.0291543 0.0504968i
\(567\) 534.729 + 1545.00i 0.0396058 + 0.114434i
\(568\) 3578.33 + 2814.03i 0.264337 + 0.207877i
\(569\) 14075.6 13421.0i 1.03704 0.988819i 0.0370987 0.999312i \(-0.488188\pi\)
0.999945 + 0.0104924i \(0.00333991\pi\)
\(570\) 516.428 492.413i 0.0379488 0.0361841i
\(571\) 17874.7 + 14056.8i 1.31004 + 1.03023i 0.996749 + 0.0805713i \(0.0256745\pi\)
0.313293 + 0.949657i \(0.398568\pi\)
\(572\) −552.553 1596.50i −0.0403905 0.116701i
\(573\) 871.168 + 1508.91i 0.0635141 + 0.110010i
\(574\) 893.900 1548.28i 0.0650012 0.112585i
\(575\) 8431.73 + 1625.08i 0.611526 + 0.117862i
\(576\) −2965.15 6492.77i −0.214493 0.469673i
\(577\) −22365.7 + 11530.3i −1.61369 + 0.831913i −0.614616 + 0.788827i \(0.710689\pi\)
−0.999071 + 0.0430866i \(0.986281\pi\)
\(578\) 5502.08 + 6349.74i 0.395945 + 0.456945i
\(579\) 8423.63 + 5413.54i 0.604619 + 0.388565i
\(580\) −9313.14 + 7323.93i −0.666736 + 0.524327i
\(581\) −1669.35 + 11610.6i −0.119202 + 0.829066i
\(582\) 878.744 + 83.9099i 0.0625861 + 0.00597625i
\(583\) −486.493 194.762i −0.0345600 0.0138357i
\(584\) −219.884 906.375i −0.0155803 0.0642227i
\(585\) −629.362 324.459i −0.0444802 0.0229311i
\(586\) −1627.79 + 34171.6i −0.114750 + 2.40890i
\(587\) 19803.7 1891.03i 1.39248 0.132966i 0.628302 0.777969i \(-0.283750\pi\)
0.764180 + 0.645004i \(0.223144\pi\)
\(588\) −2025.76 594.816i −0.142076 0.0417173i
\(589\) 164.284 105.579i 0.0114927 0.00738593i
\(590\) 7654.32 22115.7i 0.534107 1.54320i
\(591\) 132.626 25.5616i 0.00923099 0.00177913i
\(592\) −279.157 392.021i −0.0193805 0.0272162i
\(593\) −5208.65 + 2085.23i −0.360698 + 0.144402i −0.544931 0.838481i \(-0.683444\pi\)
0.184233 + 0.982883i \(0.441020\pi\)
\(594\) −1506.61 + 442.381i −0.104069 + 0.0305574i
\(595\) −7438.78 + 8584.81i −0.512538 + 0.591501i
\(596\) 4514.69 18609.8i 0.310284 1.27901i
\(597\) 3758.40 5277.94i 0.257657 0.361828i
\(598\) −2279.93 + 4992.35i −0.155909 + 0.341392i
\(599\) −1250.64 26254.2i −0.0853084 1.79084i −0.485322 0.874335i \(-0.661298\pi\)
0.400014 0.916509i \(-0.369005\pi\)
\(600\) −428.130 2977.71i −0.0291305 0.202607i
\(601\) −18952.7 18071.3i −1.28635 1.22653i −0.959583 0.281426i \(-0.909192\pi\)
−0.326766 0.945105i \(-0.605959\pi\)
\(602\) −9672.51 −0.654854
\(603\) −1167.80 4795.63i −0.0788668 0.323869i
\(604\) −13183.6 −0.888138
\(605\) 5673.23 + 5409.42i 0.381239 + 0.363511i
\(606\) 1467.40 + 10206.0i 0.0983647 + 0.684142i
\(607\) 89.8767 + 1886.74i 0.00600985 + 0.126162i 0.999878 + 0.0155943i \(0.00496401\pi\)
−0.993869 + 0.110568i \(0.964733\pi\)
\(608\) 805.078 1762.88i 0.0537010 0.117589i
\(609\) 5597.98 7861.26i 0.372482 0.523078i
\(610\) 2436.39 10042.9i 0.161716 0.666601i
\(611\) 32.6438 37.6730i 0.00216142 0.00249441i
\(612\) −7806.94 + 2292.32i −0.515648 + 0.151408i
\(613\) 5809.65 2325.83i 0.382789 0.153246i −0.172284 0.985047i \(-0.555115\pi\)
0.555073 + 0.831802i \(0.312690\pi\)
\(614\) 14967.8 + 21019.4i 0.983798 + 1.38155i
\(615\) 407.981 78.6318i 0.0267502 0.00515568i
\(616\) 1124.07 3247.79i 0.0735229 0.212430i
\(617\) 5800.35 3727.66i 0.378466 0.243225i −0.337552 0.941307i \(-0.609599\pi\)
0.716018 + 0.698081i \(0.245963\pi\)
\(618\) 14333.8 + 4208.80i 0.932997 + 0.273953i
\(619\) 23150.1 2210.56i 1.50320 0.143538i 0.689270 0.724505i \(-0.257931\pi\)
0.813927 + 0.580967i \(0.197325\pi\)
\(620\) −85.9504 + 1804.32i −0.00556750 + 0.116876i
\(621\) 2617.69 + 1349.51i 0.169153 + 0.0872046i
\(622\) −3463.69 14277.5i −0.223282 0.920380i
\(623\) −4031.88 1614.12i −0.259284 0.103802i
\(624\) −1105.41 105.554i −0.0709162 0.00677167i
\(625\) −58.7483 + 408.603i −0.00375989 + 0.0261506i
\(626\) 1366.70 1074.79i 0.0872594 0.0686215i
\(627\) −271.126 174.242i −0.0172691 0.0110982i
\(628\) 20684.0 + 23870.6i 1.31430 + 1.51678i
\(629\) −1105.72 + 570.038i −0.0700921 + 0.0361350i
\(630\) −2233.40 4890.47i −0.141239 0.309271i
\(631\) −5210.35 1004.21i −0.328718 0.0633551i 0.0222224 0.999753i \(-0.492926\pi\)
−0.350940 + 0.936398i \(0.614138\pi\)
\(632\) 8810.91 15260.9i 0.554555 0.960518i
\(633\) −4012.61 6950.04i −0.251954 0.436397i
\(634\) 14120.0 + 40797.0i 0.884505 + 2.55561i
\(635\) 9365.78 + 7365.33i 0.585306 + 0.460290i
\(636\) 930.137 886.884i 0.0579911 0.0552944i
\(637\) −539.045 + 513.978i −0.0335286 + 0.0319695i
\(638\) 7285.78 + 5729.60i 0.452111 + 0.355544i
\(639\) −1051.98 3039.50i −0.0651264 0.188170i
\(640\) 5174.35 + 8962.24i 0.319585 + 0.553537i
\(641\) −14424.1 + 24983.3i −0.888798 + 1.53944i −0.0474999 + 0.998871i \(0.515125\pi\)
−0.841298 + 0.540572i \(0.818208\pi\)
\(642\) 1251.68 + 241.242i 0.0769469 + 0.0148303i
\(643\) 6886.79 + 15080.0i 0.422377 + 0.924877i 0.994503 + 0.104711i \(0.0333917\pi\)
−0.572126 + 0.820166i \(0.693881\pi\)
\(644\) −21384.5 + 11024.5i −1.30849 + 0.674574i
\(645\) −1472.07 1698.86i −0.0898646 0.103709i
\(646\) −2433.42 1563.87i −0.148207 0.0952469i
\(647\) −10806.9 + 8498.60i −0.656663 + 0.516406i −0.889983 0.455994i \(-0.849284\pi\)
0.233319 + 0.972400i \(0.425041\pi\)
\(648\) 146.837 1021.27i 0.00890170 0.0619127i
\(649\) −10522.3 1004.76i −0.636420 0.0607707i
\(650\) −3677.32 1472.18i −0.221902 0.0888361i
\(651\) −346.889 1429.90i −0.0208843 0.0860861i
\(652\) 19441.7 + 10022.9i 1.16779 + 0.602035i
\(653\) 38.8826 816.247i 0.00233016 0.0489161i −0.997403 0.0720257i \(-0.977054\pi\)
0.999733 + 0.0231096i \(0.00735667\pi\)
\(654\) −753.728 + 71.9723i −0.0450659 + 0.00430327i
\(655\) −7374.33 2165.30i −0.439907 0.129168i
\(656\) 548.151 352.275i 0.0326245 0.0209665i
\(657\) −215.529 + 622.731i −0.0127985 + 0.0369788i
\(658\) 371.653 71.6302i 0.0220191 0.00424383i
\(659\) −5256.81 7382.16i −0.310738 0.436371i 0.629442 0.777047i \(-0.283283\pi\)
−0.940181 + 0.340676i \(0.889344\pi\)
\(660\) 2767.59 1107.98i 0.163225 0.0653453i
\(661\) 16530.1 4853.67i 0.972687 0.285607i 0.243485 0.969905i \(-0.421709\pi\)
0.729202 + 0.684298i \(0.239891\pi\)
\(662\) −13605.5 + 15701.6i −0.798782 + 0.921843i
\(663\) −676.717 + 2789.47i −0.0396403 + 0.163399i
\(664\) 4293.94 6030.00i 0.250960 0.352424i
\(665\) 458.408 1003.77i 0.0267313 0.0585333i
\(666\) −28.0154 588.116i −0.00162999 0.0342178i
\(667\) −2474.07 17207.5i −0.143623 0.998917i
\(668\) 3101.05 + 2956.84i 0.179615 + 0.171263i
\(669\) 2689.69 0.155440
\(670\) 5321.90 + 15333.6i 0.306870 + 0.884165i
\(671\) −4667.58 −0.268539
\(672\) −10567.9 10076.5i −0.606645 0.578435i
\(673\) 589.613 + 4100.85i 0.0337710 + 0.234883i 0.999715 0.0238683i \(-0.00759823\pi\)
−0.965944 + 0.258751i \(0.916689\pi\)
\(674\) 1461.69 + 30684.6i 0.0835343 + 1.75360i
\(675\) −882.978 + 1933.45i −0.0503494 + 0.110250i
\(676\) −13078.4 + 18366.1i −0.744108 + 1.04495i
\(677\) 2510.65 10349.1i 0.142529 0.587513i −0.855086 0.518487i \(-0.826496\pi\)
0.997615 0.0690266i \(-0.0219893\pi\)
\(678\) 7904.21 9121.95i 0.447728 0.516706i
\(679\) 1309.83 384.600i 0.0740303 0.0217373i
\(680\) 6655.22 2664.35i 0.375318 0.150254i
\(681\) −5680.93 7977.75i −0.319668 0.448910i
\(682\) 1387.60 267.439i 0.0779093 0.0150158i
\(683\) 8703.31 25146.6i 0.487588 1.40879i −0.386168 0.922429i \(-0.626201\pi\)
0.873756 0.486365i \(-0.161677\pi\)
\(684\) 664.941 427.331i 0.0371705 0.0238880i
\(685\) 8147.98 + 2392.46i 0.454479 + 0.133447i
\(686\) 24354.0 2325.53i 1.35545 0.129430i
\(687\) −317.642 + 6668.14i −0.0176402 + 0.370313i
\(688\) −3133.39 1615.37i −0.173633 0.0895139i
\(689\) −106.890 440.606i −0.00591027 0.0243625i
\(690\) −8990.95 3599.43i −0.496057 0.198591i
\(691\) −21386.9 2042.20i −1.17742 0.112430i −0.512056 0.858952i \(-0.671116\pi\)
−0.665360 + 0.746522i \(0.731722\pi\)
\(692\) 5285.08 36758.6i 0.290331 2.01929i
\(693\) −1908.75 + 1501.06i −0.104628 + 0.0822807i
\(694\) −36456.6 23429.2i −1.99405 1.28150i
\(695\) 6091.52 + 7029.99i 0.332467 + 0.383687i
\(696\) −5413.42 + 2790.81i −0.294820 + 0.151990i
\(697\) −699.683 1532.09i −0.0380235 0.0832599i
\(698\) −4680.83 902.155i −0.253828 0.0489213i
\(699\) 3806.03 6592.24i 0.205948 0.356712i
\(700\) −8682.00 15037.7i −0.468784 0.811957i
\(701\) −5982.08 17284.1i −0.322311 0.931256i −0.983480 0.181019i \(-0.942061\pi\)
0.661169 0.750237i \(-0.270061\pi\)
\(702\) −1067.88 839.790i −0.0574139 0.0451508i
\(703\) 87.4621 83.3949i 0.00469231 0.00447411i
\(704\) 7672.64 7315.85i 0.410758 0.391657i
\(705\) 69.1433 + 54.3749i 0.00369374 + 0.00290479i
\(706\) −6417.92 18543.4i −0.342127 0.988510i
\(707\) 7972.73 + 13809.2i 0.424109 + 0.734579i
\(708\) 12961.7 22450.4i 0.688040 1.19172i
\(709\) −23705.7 4568.91i −1.25570 0.242015i −0.482338 0.875985i \(-0.660212\pi\)
−0.773358 + 0.633970i \(0.781424\pi\)
\(710\) 4393.81 + 9621.11i 0.232249 + 0.508555i
\(711\) −11066.6 + 5705.23i −0.583727 + 0.300932i
\(712\) 1794.84 + 2071.36i 0.0944726 + 0.109027i
\(713\) −2229.72 1432.95i −0.117116 0.0752658i
\(714\) −17131.5 + 13472.4i −0.897943 + 0.706150i
\(715\) 149.669 1040.97i 0.00782839 0.0544477i
\(716\) −46411.9 4431.80i −2.42248 0.231319i
\(717\) −10693.9 4281.19i −0.557002 0.222990i
\(718\) −577.992 2382.52i −0.0300424 0.123837i
\(719\) −5630.52 2902.74i −0.292049 0.150562i 0.305976 0.952039i \(-0.401017\pi\)
−0.598025 + 0.801478i \(0.704048\pi\)
\(720\) 93.2354 1957.25i 0.00482594 0.101309i
\(721\) 22997.9 2196.04i 1.18792 0.113432i
\(722\) −28362.5 8327.98i −1.46197 0.429273i
\(723\) 14824.0 9526.79i 0.762531 0.490049i
\(724\) 2719.41 7857.22i 0.139594 0.403330i
\(725\) 12320.1 2374.50i 0.631111 0.121637i
\(726\) 8723.96 + 12251.1i 0.445973 + 0.626282i
\(727\) −3925.87 + 1571.68i −0.200278 + 0.0801794i −0.469633 0.882862i \(-0.655614\pi\)
0.269355 + 0.963041i \(0.413190\pi\)
\(728\) 2853.05 837.730i 0.145249 0.0426488i
\(729\) −477.393 + 550.941i −0.0242541 + 0.0279907i
\(730\) 510.888 2105.91i 0.0259025 0.106771i
\(731\) −5285.78 + 7422.85i −0.267444 + 0.375573i
\(732\) 4755.38 10412.8i 0.240115 0.525778i
\(733\) −993.443 20854.9i −0.0500596 1.05088i −0.874529 0.484973i \(-0.838829\pi\)
0.824469 0.565906i \(-0.191474\pi\)
\(734\) 2166.31 + 15067.0i 0.108937 + 0.757674i
\(735\) −951.197 906.964i −0.0477353 0.0455155i
\(736\) −26303.3 −1.31733
\(737\) 6163.70 3968.72i 0.308064 0.198358i
\(738\) 797.170 0.0397618
\(739\) 12971.0 + 12367.9i 0.645666 + 0.615642i 0.940454 0.339921i \(-0.110400\pi\)
−0.294787 + 0.955563i \(0.595249\pi\)
\(740\) 159.084 + 1106.46i 0.00790279 + 0.0549651i
\(741\) −13.2678 278.525i −0.000657765 0.0138082i
\(742\) 1430.06 3131.40i 0.0707538 0.154929i
\(743\) 17601.5 24717.8i 0.869091 1.22047i −0.105036 0.994468i \(-0.533496\pi\)
0.974127 0.226000i \(-0.0725648\pi\)
\(744\) −218.917 + 902.389i −0.0107875 + 0.0444667i
\(745\) 7806.47 9009.15i 0.383902 0.443047i
\(746\) −32092.3 + 9423.16i −1.57505 + 0.462475i
\(747\) −4855.66 + 1943.91i −0.237830 + 0.0952129i
\(748\) −7009.89 9844.02i −0.342657 0.481194i
\(749\) 1935.68 373.071i 0.0944300 0.0181999i
\(750\) 5916.05 17093.3i 0.288031 0.832212i
\(751\) 544.210 349.742i 0.0264427 0.0169937i −0.527353 0.849646i \(-0.676815\pi\)
0.553795 + 0.832653i \(0.313179\pi\)
\(752\) 132.359 + 38.8641i 0.00641840 + 0.00188461i
\(753\) 23299.1 2224.80i 1.12758 0.107671i
\(754\) −381.573 + 8010.20i −0.0184298 + 0.386889i
\(755\) −7294.62 3760.64i −0.351627 0.181276i
\(756\) −1404.03 5787.51i −0.0675453 0.278425i
\(757\) −27807.0 11132.3i −1.33509 0.534490i −0.409257 0.912419i \(-0.634212\pi\)
−0.925834 + 0.377929i \(0.876636\pi\)
\(758\) 8381.38 + 800.325i 0.401617 + 0.0383497i
\(759\) −622.513 + 4329.68i −0.0297705 + 0.207058i
\(760\) −547.408 + 430.486i −0.0261271 + 0.0205466i
\(761\) −10417.7 6695.03i −0.496242 0.318916i 0.268469 0.963288i \(-0.413482\pi\)
−0.764712 + 0.644373i \(0.777119\pi\)
\(762\) 14970.4 + 17276.7i 0.711705 + 0.821351i
\(763\) −1040.75 + 536.543i −0.0493809 + 0.0254576i
\(764\) −2636.50 5773.13i −0.124850 0.273383i
\(765\) −4973.53 958.569i −0.235057 0.0453034i
\(766\) 17759.7 30760.6i 0.837706 1.45095i
\(767\) −4572.60 7919.98i −0.215264 0.372847i
\(768\) 268.592 + 776.046i 0.0126198 + 0.0364624i
\(769\) −4607.42 3623.32i −0.216057 0.169909i 0.504265 0.863549i \(-0.331763\pi\)
−0.720322 + 0.693640i \(0.756006\pi\)
\(770\) 5779.17 5510.43i 0.270477 0.257899i
\(771\) −6771.95 + 6457.04i −0.316324 + 0.301614i
\(772\) −28670.7 22546.9i −1.33663 1.05114i
\(773\) 7720.47 + 22306.8i 0.359232 + 1.03793i 0.969363 + 0.245631i \(0.0789953\pi\)
−0.610132 + 0.792300i \(0.708883\pi\)
\(774\) −2156.46 3735.09i −0.100145 0.173456i
\(775\) 956.455 1656.63i 0.0443315 0.0767843i
\(776\) −845.944 163.042i −0.0391335 0.00754237i
\(777\) −378.248 828.247i −0.0174640 0.0382409i
\(778\) −21561.4 + 11115.7i −0.993591 + 0.512232i
\(779\) 107.148 + 123.656i 0.00492809 + 0.00568732i
\(780\) 2169.80 + 1394.45i 0.0996043 + 0.0640118i
\(781\) 3755.13 2953.06i 0.172047 0.135300i
\(782\) −5587.21 + 38859.9i −0.255496 + 1.77702i
\(783\) 4283.72 + 409.046i 0.195514 + 0.0186694i
\(784\) −1913.49 766.044i −0.0871668 0.0348963i
\(785\) 4635.53 + 19107.9i 0.210763 + 0.868778i
\(786\) −13106.7 6756.97i −0.594784 0.306633i
\(787\) 1164.73 24450.6i 0.0527548 1.10746i −0.804959 0.593331i \(-0.797813\pi\)
0.857713 0.514128i \(-0.171884\pi\)
\(788\) −489.770 + 46.7674i −0.0221413 + 0.00211424i
\(789\) 5137.99 + 1508.65i 0.231834 + 0.0680727i
\(790\) 34443.6 22135.6i 1.55120 0.996896i
\(791\) 6105.01 17639.3i 0.274424 0.792896i
\(792\) 1504.76 290.019i 0.0675118 0.0130118i
\(793\) −2342.47 3289.54i −0.104897 0.147308i
\(794\) −62127.2 + 24872.0i −2.77684 + 1.11168i
\(795\) 767.636 225.398i 0.0342456 0.0100554i
\(796\) −15455.9 + 17837.1i −0.688217 + 0.794245i
\(797\) 1208.28 4980.58i 0.0537005 0.221357i −0.938638 0.344903i \(-0.887912\pi\)
0.992339 + 0.123547i \(0.0394269\pi\)
\(798\) 1228.09 1724.62i 0.0544788 0.0765048i
\(799\) 148.129 324.357i 0.00655873 0.0143616i
\(800\) −903.282 18962.2i −0.0399198 0.838019i
\(801\) −275.594 1916.80i −0.0121568 0.0845526i
\(802\) −511.036 487.272i −0.0225004 0.0214541i
\(803\) −978.747 −0.0430127
\(804\) 2574.10 + 17793.9i 0.112912 + 0.780525i
\(805\) −14977.0 −0.655738
\(806\) 884.864 + 843.716i 0.0386700 + 0.0368717i
\(807\) −61.3591 426.762i −0.00267651 0.0186155i
\(808\) −478.816 10051.6i −0.0208474 0.437640i
\(809\) 9075.54 19872.7i 0.394412 0.863641i −0.603395 0.797443i \(-0.706186\pi\)
0.997806 0.0661984i \(-0.0210870\pi\)
\(810\) 1390.55 1952.76i 0.0603197 0.0847072i
\(811\) 6545.65 26981.5i 0.283414 1.16825i −0.634963 0.772543i \(-0.718985\pi\)
0.918377 0.395707i \(-0.129500\pi\)
\(812\) −23021.0 + 26567.6i −0.994922 + 1.14820i
\(813\) 10988.1 3226.40i 0.474009 0.139182i
\(814\) 811.853 325.017i 0.0349575 0.0139949i
\(815\) 7898.22 + 11091.5i 0.339463 + 0.476710i
\(816\) −7799.70 + 1503.27i −0.334613 + 0.0644914i
\(817\) 289.530 836.543i 0.0123983 0.0358224i
\(818\) −36396.7 + 23390.7i −1.55572 + 0.999802i
\(819\) −2015.82 591.898i −0.0860054 0.0252535i
\(820\) −1506.61 + 143.864i −0.0641625 + 0.00612678i
\(821\) −497.313 + 10439.9i −0.0211405 + 0.443794i 0.963338 + 0.268290i \(0.0864585\pi\)
−0.984479 + 0.175504i \(0.943845\pi\)
\(822\) 14481.7 + 7465.86i 0.614488 + 0.316790i
\(823\) 4895.44 + 20179.3i 0.207344 + 0.854685i 0.976482 + 0.215601i \(0.0691711\pi\)
−0.769137 + 0.639084i \(0.779314\pi\)
\(824\) −13535.3 5418.74i −0.572240 0.229091i
\(825\) −3142.67 300.089i −0.132623 0.0126639i
\(826\) 9882.09 68731.5i 0.416274 2.89525i
\(827\) 25311.8 19905.4i 1.06430 0.836977i 0.0771925 0.997016i \(-0.475404\pi\)
0.987111 + 0.160039i \(0.0511620\pi\)
\(828\) −9024.79 5799.88i −0.378784 0.243430i
\(829\) 28273.7 + 32629.6i 1.18454 + 1.36704i 0.914700 + 0.404133i \(0.132427\pi\)
0.269844 + 0.962904i \(0.413028\pi\)
\(830\) 15287.6 7881.29i 0.639324 0.329594i
\(831\) −3.35341 7.34293i −0.000139986 0.000306527i
\(832\) 9006.53 + 1735.87i 0.375295 + 0.0723322i
\(833\) −2663.92 + 4614.04i −0.110803 + 0.191917i
\(834\) 8923.56 + 15456.1i 0.370501 + 0.641726i
\(835\) 872.394 + 2520.62i 0.0361562 + 0.104467i
\(836\) 922.805 + 725.702i 0.0381769 + 0.0300226i
\(837\) 474.825 452.744i 0.0196085 0.0186967i
\(838\) −14036.8 + 13384.1i −0.578633 + 0.551726i
\(839\) −12571.9 9886.64i −0.517318 0.406823i 0.325074 0.945689i \(-0.394611\pi\)
−0.842392 + 0.538865i \(0.818853\pi\)
\(840\) 1716.13 + 4958.44i 0.0704907 + 0.203670i
\(841\) −506.189 876.746i −0.0207548 0.0359484i
\(842\) −14491.0 + 25099.1i −0.593102 + 1.02728i
\(843\) 5579.60 + 1075.38i 0.227961 + 0.0439360i
\(844\) 12143.7 + 26591.1i 0.495266 + 1.08448i
\(845\) −12475.3 + 6431.49i −0.507888 + 0.261834i
\(846\) 110.519 + 127.546i 0.00449141 + 0.00518336i
\(847\) 19566.3 + 12574.5i 0.793750 + 0.510112i
\(848\) 986.232 775.582i 0.0399379 0.0314075i
\(849\) 77.0511 535.902i 0.00311471 0.0216633i
\(850\) −28206.2 2693.37i −1.13819 0.108684i
\(851\) −1522.70 609.598i −0.0613367 0.0245555i
\(852\) 2762.18 + 11385.9i 0.111069 + 0.457833i
\(853\) 22498.8 + 11598.9i 0.903101 + 0.465581i 0.846240 0.532801i \(-0.178861\pi\)
0.0568603 + 0.998382i \(0.481891\pi\)
\(854\) 1458.98 30627.9i 0.0584607 1.22724i
\(855\) 489.813 46.7715i 0.0195921 0.00187082i
\(856\) −1193.67 350.493i −0.0476621 0.0139949i
\(857\) −18710.2 + 12024.3i −0.745776 + 0.479281i −0.857516 0.514457i \(-0.827994\pi\)
0.111741 + 0.993737i \(0.464357\pi\)
\(858\) 659.950 1906.80i 0.0262591 0.0758707i
\(859\) 48295.2 9308.13i 1.91829 0.369720i 0.918613 0.395158i \(-0.129310\pi\)
0.999676 + 0.0254385i \(0.00809818\pi\)
\(860\) 4749.67 + 6669.98i 0.188328 + 0.264470i
\(861\) 1144.48 458.182i 0.0453007 0.0181357i
\(862\) 60027.0 17625.5i 2.37184 0.696435i
\(863\) −14207.5 + 16396.3i −0.560405 + 0.646741i −0.963275 0.268515i \(-0.913467\pi\)
0.402871 + 0.915257i \(0.368012\pi\)
\(864\) 1535.00 6327.37i 0.0604420 0.249145i
\(865\) 13409.7 18831.2i 0.527101 0.740210i
\(866\) −14283.9 + 31277.3i −0.560491 + 1.22730i
\(867\) 275.671 + 5787.04i 0.0107985 + 0.226688i
\(868\) 762.757 + 5305.09i 0.0298268 + 0.207450i
\(869\) −13383.6 12761.3i −0.522449 0.498155i
\(870\) −14150.8 −0.551445
\(871\) 5890.32 + 2352.21i 0.229146 + 0.0915060i
\(872\) 738.948 0.0286972
\(873\) 440.538 + 420.052i 0.0170790 + 0.0162848i
\(874\) −542.765 3775.02i −0.0210061 0.146100i
\(875\) −1330.99 27940.9i −0.0514236 1.07951i
\(876\) 997.159 2183.47i 0.0384599 0.0842154i
\(877\) 14589.6 20488.3i 0.561753 0.788871i −0.431833 0.901954i \(-0.642133\pi\)
0.993586 + 0.113082i \(0.0360724\pi\)
\(878\) −7580.67 + 31247.9i −0.291384 + 1.20110i
\(879\) −15448.2 + 17828.1i −0.592780 + 0.684105i
\(880\) 2792.43 819.932i 0.106969 0.0314090i
\(881\) 21032.5 8420.13i 0.804316 0.321999i 0.0671772 0.997741i \(-0.478601\pi\)
0.737139 + 0.675742i \(0.236176\pi\)
\(882\) −1462.69 2054.07i −0.0558406 0.0784172i
\(883\) −17436.1 + 3360.53i −0.664519 + 0.128076i −0.510347 0.859968i \(-0.670483\pi\)
−0.154172 + 0.988044i \(0.549271\pi\)
\(884\) 3419.72 9880.63i 0.130110 0.375929i
\(885\) 13575.8 8724.65i 0.515645 0.331385i
\(886\) 74809.1 + 21965.9i 2.83664 + 0.832912i
\(887\) 47065.9 4494.25i 1.78164 0.170126i 0.848396 0.529362i \(-0.177569\pi\)
0.933247 + 0.359236i \(0.116963\pi\)
\(888\) −27.3417 + 573.973i −0.00103325 + 0.0216906i
\(889\) 31422.7 + 16199.5i 1.18547 + 0.611153i
\(890\) 1501.33 + 6188.56i 0.0565446 + 0.233080i
\(891\) −1005.19 402.419i −0.0377949 0.0151308i
\(892\) −9753.16 931.314i −0.366098 0.0349582i
\(893\) −4.92975 + 34.2872i −0.000184734 + 0.00128486i
\(894\) 17978.3 14138.3i 0.672578 0.528921i
\(895\) −24415.9 15691.2i −0.911881 0.586031i
\(896\) 20107.8 + 23205.7i 0.749726 + 0.865230i
\(897\) −3363.81 + 1734.17i −0.125211 + 0.0645508i
\(898\) −6997.63 15322.7i −0.260038 0.569403i
\(899\) −3802.76 732.922i −0.141078 0.0271906i
\(900\) 3871.25 6705.20i 0.143380 0.248341i
\(901\) −1621.60 2808.69i −0.0599592 0.103852i
\(902\) 387.250 + 1118.88i 0.0142949 + 0.0413024i
\(903\) −5242.78 4122.97i −0.193210 0.151942i
\(904\) −8525.44 + 8128.99i −0.313664 + 0.299078i
\(905\) 3745.94 3571.75i 0.137591 0.131192i
\(906\) −12377.3 9733.59i −0.453871 0.356928i
\(907\) 6368.08 + 18399.4i 0.233130 + 0.673584i 0.999513 + 0.0312006i \(0.00993306\pi\)
−0.766383 + 0.642383i \(0.777946\pi\)
\(908\) 17837.4 + 30895.3i 0.651934 + 1.12918i
\(909\) −3554.99 + 6157.43i −0.129716 + 0.224674i
\(910\) 6783.88 + 1307.49i 0.247125 + 0.0476294i
\(911\) −13023.9 28518.3i −0.473655 1.03716i −0.984160 0.177285i \(-0.943269\pi\)
0.510504 0.859875i \(-0.329459\pi\)
\(912\) 685.862 353.586i 0.0249026 0.0128382i
\(913\) −5087.20 5870.95i −0.184405 0.212815i
\(914\) 15593.6 + 10021.4i 0.564323 + 0.362668i
\(915\) 5601.46 4405.03i 0.202381 0.159154i
\(916\) 3460.67 24069.5i 0.124829 0.868208i
\(917\) −22700.7 2167.66i −0.817496 0.0780614i
\(918\) −9021.86 3611.81i −0.324363 0.129856i
\(919\) 3154.39 + 13002.6i 0.113225 + 0.466719i 0.999990 + 0.00449879i \(0.00143201\pi\)
−0.886765 + 0.462221i \(0.847053\pi\)
\(920\) 8401.07 + 4331.06i 0.301060 + 0.155207i
\(921\) −846.643 + 17773.2i −0.0302908 + 0.635882i
\(922\) 53158.7 5076.04i 1.89879 0.181313i
\(923\) 3965.76 + 1164.45i 0.141424 + 0.0415259i
\(924\) 7441.12 4782.12i 0.264930 0.170260i
\(925\) 387.172 1118.66i 0.0137623 0.0397636i
\(926\) 56083.4 10809.2i 1.99030 0.383598i
\(927\) 5975.33 + 8391.18i 0.211711 + 0.297306i
\(928\) −35680.1 + 14284.2i −1.26213 + 0.505281i
\(929\) −38852.9 + 11408.2i −1.37214 + 0.402898i −0.883028 0.469321i \(-0.844499\pi\)
−0.489116 + 0.872219i \(0.662681\pi\)
\(930\) −1412.84 + 1630.50i −0.0498159 + 0.0574906i
\(931\) 122.021 502.979i 0.00429548 0.0177062i
\(932\) −16083.7 + 22586.4i −0.565279 + 0.793823i
\(933\) 4208.46 9215.25i 0.147673 0.323359i
\(934\) −42.4561 891.264i −0.00148737 0.0312238i
\(935\) −1070.62 7446.35i −0.0374472 0.260451i
\(936\) 959.573 + 914.951i 0.0335092 + 0.0319510i
\(937\) 30930.7 1.07840 0.539201 0.842177i \(-0.318726\pi\)
0.539201 + 0.842177i \(0.318726\pi\)
\(938\) 24115.4 + 41685.7i 0.839441 + 1.45105i
\(939\) 1198.93 0.0416672
\(940\) −231.895 221.111i −0.00804635 0.00767218i
\(941\) −4054.47 28199.5i −0.140459 0.976915i −0.931134 0.364678i \(-0.881179\pi\)
0.790675 0.612237i \(-0.209730\pi\)
\(942\) 1795.00 + 37681.7i 0.0620852 + 1.30333i
\(943\) 922.513 2020.02i 0.0318570 0.0697571i
\(944\) 14679.9 20615.1i 0.506134 0.710766i
\(945\) 874.024 3602.78i 0.0300868 0.124019i
\(946\) 4194.90 4841.17i 0.144173 0.166385i
\(947\) −22821.1 + 6700.87i −0.783089 + 0.229936i −0.648752 0.761000i \(-0.724709\pi\)
−0.134337 + 0.990936i \(0.542890\pi\)
\(948\) 42104.3 16856.0i 1.44249 0.577488i
\(949\) −491.194 689.785i −0.0168017 0.0235947i
\(950\) 2702.80 520.921i 0.0923055 0.0177904i
\(951\) −9736.54 + 28131.9i −0.331997 + 0.959242i
\(952\) 17893.7 11499.6i 0.609177 0.391495i
\(953\) −50446.5 14812.4i −1.71472 0.503486i −0.730872 0.682515i \(-0.760886\pi\)
−0.983844 + 0.179029i \(0.942704\pi\)
\(954\) 1528.04 145.910i 0.0518575 0.00495179i
\(955\) 187.989 3946.38i 0.00636984 0.133719i
\(956\) 37295.0 + 19226.9i 1.26172 + 0.650463i
\(957\) 1506.82 + 6211.21i 0.0508973 + 0.209802i
\(958\) −83515.6 33434.6i −2.81656 1.12758i
\(959\) 25082.3 + 2395.07i 0.844577 + 0.0806473i
\(960\) −2303.42 + 16020.7i −0.0774402 + 0.538609i
\(961\) 22953.2 18050.6i 0.770474 0.605907i
\(962\) 636.496 + 409.051i 0.0213321 + 0.0137093i
\(963\) 575.617 + 664.297i 0.0192617 + 0.0222291i
\(964\) −57052.3 + 29412.5i −1.90615 + 0.982689i
\(965\) −9432.22 20653.7i −0.314647 0.688980i
\(966\) −28216.0 5438.19i −0.939788 0.181129i
\(967\) −12927.2 + 22390.5i −0.429896 + 0.744602i −0.996864 0.0791384i \(-0.974783\pi\)
0.566968 + 0.823740i \(0.308116\pi\)
\(968\) −7339.07 12711.6i −0.243685 0.422074i
\(969\) −652.378 1884.92i −0.0216279 0.0624896i
\(970\) −1573.42 1237.35i −0.0520819 0.0409577i
\(971\) −20220.3 + 19280.1i −0.668282 + 0.637205i −0.946269 0.323379i \(-0.895181\pi\)
0.277988 + 0.960585i \(0.410333\pi\)
\(972\) 1921.85 1832.48i 0.0634192 0.0604701i
\(973\) 21695.0 + 17061.1i 0.714809 + 0.562132i
\(974\) −3230.30 9333.34i −0.106269 0.307043i
\(975\) −1365.69 2365.44i −0.0448585 0.0776972i
\(976\) 5587.70 9678.18i 0.183256 0.317409i
\(977\) −5464.86 1053.26i −0.178952 0.0344902i 0.0989878 0.995089i \(-0.468440\pi\)
−0.277940 + 0.960598i \(0.589652\pi\)
\(978\) 10852.6 + 23763.8i 0.354833 + 0.776976i
\(979\) 2556.48 1317.96i 0.0834581 0.0430256i
\(980\) 3135.12 + 3618.12i 0.102192 + 0.117935i
\(981\) −439.221 282.270i −0.0142949 0.00918674i
\(982\) −33771.0 + 26557.8i −1.09743 + 0.863027i
\(983\) −3094.86 + 21525.2i −0.100418 + 0.698421i 0.875965 + 0.482374i \(0.160226\pi\)
−0.976383 + 0.216047i \(0.930684\pi\)
\(984\) −774.476 73.9535i −0.0250909 0.00239589i
\(985\) −284.334 113.830i −0.00919760 0.00368217i
\(986\) 13524.1 + 55747.2i 0.436811 + 1.80056i
\(987\) 231.979 + 119.594i 0.00748124 + 0.00385685i
\(988\) −48.3294 + 1014.56i −0.00155624 + 0.0326695i
\(989\) −11960.2 + 1142.06i −0.384543 + 0.0367194i
\(990\) 3416.33 + 1003.13i 0.109675 + 0.0322035i
\(991\) −39688.3 + 25506.1i −1.27219 + 0.817587i −0.989903 0.141743i \(-0.954729\pi\)
−0.282287 + 0.959330i \(0.591093\pi\)
\(992\) −1916.49 + 5537.33i −0.0613392 + 0.177228i
\(993\) −14067.5 + 2711.29i −0.449565 + 0.0866466i
\(994\) 18203.7 + 25563.5i 0.580872 + 0.815721i
\(995\) −13639.9 + 5460.60i −0.434588 + 0.173983i
\(996\) 18280.3 5367.58i 0.581560 0.170761i
\(997\) 13375.9 15436.6i 0.424893 0.490352i −0.502429 0.864619i \(-0.667560\pi\)
0.927321 + 0.374266i \(0.122105\pi\)
\(998\) −6344.68 + 26153.1i −0.201240 + 0.829522i
\(999\) 235.503 330.718i 0.00745844 0.0104739i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 201.4.m.a.10.3 320
67.47 even 33 inner 201.4.m.a.181.3 yes 320
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
201.4.m.a.10.3 320 1.1 even 1 trivial
201.4.m.a.181.3 yes 320 67.47 even 33 inner