Properties

Label 201.3.o.b.17.18
Level $201$
Weight $3$
Character 201.17
Analytic conductor $5.477$
Analytic rank $0$
Dimension $840$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [201,3,Mod(17,201)]
 
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([33, 64]))
 
N = Newforms(chi, 3, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("201.17");
 
S:= CuspForms(chi, 3);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 201 = 3 \cdot 67 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 201.o (of order \(66\), 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: \(5.47685331364\)
Analytic rank: \(0\)
Dimension: \(840\)
Relative dimension: \(42\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 17.18
Character \(\chi\) \(=\) 201.17
Dual form 201.3.o.b.71.18

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.0816192 - 0.854754i) q^{2} +(2.61588 - 1.46873i) q^{3} +(3.20377 - 0.617476i) q^{4} +(6.65997 + 0.957559i) q^{5} +(-1.46891 - 2.11606i) q^{6} +(-5.73553 - 8.05442i) q^{7} +(-1.75691 - 5.98349i) q^{8} +(4.68569 - 7.68403i) q^{9} +O(q^{10})\) \(q+(-0.0816192 - 0.854754i) q^{2} +(2.61588 - 1.46873i) q^{3} +(3.20377 - 0.617476i) q^{4} +(6.65997 + 0.957559i) q^{5} +(-1.46891 - 2.11606i) q^{6} +(-5.73553 - 8.05442i) q^{7} +(-1.75691 - 5.98349i) q^{8} +(4.68569 - 7.68403i) q^{9} +(0.274897 - 5.77079i) q^{10} +(-12.2277 + 15.5488i) q^{11} +(7.47379 - 6.32071i) q^{12} +(2.56395 + 10.5687i) q^{13} +(-6.41642 + 5.55986i) q^{14} +(18.8281 - 7.27680i) q^{15} +(7.14505 - 2.86045i) q^{16} +(-2.85618 + 14.8193i) q^{17} +(-6.95040 - 3.37795i) q^{18} +(-10.6933 + 15.0167i) q^{19} +(21.9283 - 1.04457i) q^{20} +(-26.8332 - 12.6455i) q^{21} +(14.2884 + 9.18259i) q^{22} +(4.37735 - 8.49087i) q^{23} +(-13.3840 - 13.0717i) q^{24} +(19.4509 + 5.71130i) q^{25} +(8.82441 - 3.05416i) q^{26} +(0.971491 - 26.9825i) q^{27} +(-23.3487 - 22.2630i) q^{28} +(-24.3115 - 14.0363i) q^{29} +(-7.75661 - 15.4995i) q^{30} +(2.21038 - 9.11133i) q^{31} +(-14.4583 - 28.0452i) q^{32} +(-9.14932 + 58.6328i) q^{33} +(12.9000 + 1.23180i) q^{34} +(-30.4858 - 59.1343i) q^{35} +(10.2672 - 27.5112i) q^{36} +(32.6279 + 56.5132i) q^{37} +(13.7083 + 7.91451i) q^{38} +(22.2296 + 23.8808i) q^{39} +(-5.97142 - 41.5322i) q^{40} +(-2.90795 + 1.00645i) q^{41} +(-8.61870 + 23.9679i) q^{42} +(14.2373 - 16.4307i) q^{43} +(-29.5737 + 57.3650i) q^{44} +(38.5645 - 46.6886i) q^{45} +(-7.61488 - 3.04854i) q^{46} +(82.7114 - 3.94003i) q^{47} +(14.4894 - 17.9767i) q^{48} +(-15.9511 + 46.0876i) q^{49} +(3.29420 - 17.0919i) q^{50} +(14.2940 + 42.9605i) q^{51} +(14.7402 + 32.2766i) q^{52} +(-38.6245 + 33.4683i) q^{53} +(-23.1427 + 1.37190i) q^{54} +(-96.3248 + 91.8455i) q^{55} +(-38.1167 + 48.4693i) q^{56} +(-5.91711 + 54.9874i) q^{57} +(-10.0133 + 21.9260i) q^{58} +(-18.5969 - 63.3352i) q^{59} +(55.8276 - 34.9391i) q^{60} +(76.2598 - 59.9714i) q^{61} +(-7.96836 - 1.14568i) q^{62} +(-88.7653 + 6.33143i) q^{63} +(3.10665 - 1.99652i) q^{64} +(6.95562 + 72.8426i) q^{65} +(50.8634 + 3.03486i) q^{66} +(-61.9669 + 25.4776i) q^{67} +49.2412i q^{68} +(-1.02013 - 28.6402i) q^{69} +(-48.0570 + 30.8844i) q^{70} +(-20.1397 - 104.495i) q^{71} +(-54.2096 - 14.5366i) q^{72} +(-19.1475 + 15.0577i) q^{73} +(45.6419 - 32.5014i) q^{74} +(59.2697 - 13.6280i) q^{75} +(-24.9865 + 54.7128i) q^{76} +(195.368 + 9.30654i) q^{77} +(18.5979 - 20.9500i) q^{78} +(-27.4868 + 26.2086i) q^{79} +(50.3249 - 12.2087i) q^{80} +(-37.0886 - 72.0100i) q^{81} +(1.09761 + 2.40344i) q^{82} +(7.30213 + 18.2398i) q^{83} +(-93.7757 - 23.9444i) q^{84} +(-33.2124 + 95.9610i) q^{85} +(-15.2062 - 10.8283i) q^{86} +(-84.2115 - 1.01027i) q^{87} +(114.519 + 45.8464i) q^{88} +(-89.2604 + 138.892i) q^{89} +(-43.0548 - 29.1525i) q^{90} +(70.4194 - 81.2684i) q^{91} +(8.78111 - 29.9057i) q^{92} +(-7.59993 - 27.0806i) q^{93} +(-10.1186 - 70.3763i) q^{94} +(-85.5965 + 89.7710i) q^{95} +(-79.0120 - 52.1278i) q^{96} +(44.1956 + 76.5489i) q^{97} +(40.6955 + 9.87262i) q^{98} +(62.1820 + 166.815i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 840 q - 16 q^{3} - 126 q^{4} - 25 q^{6} - 34 q^{7} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 840 q - 16 q^{3} - 126 q^{4} - 25 q^{6} - 34 q^{7} - 24 q^{9} - 50 q^{10} + 168 q^{12} - 38 q^{13} - 100 q^{15} + 86 q^{16} - 33 q^{18} - 6 q^{19} - 118 q^{21} + 256 q^{22} + 170 q^{24} + 384 q^{25} - 160 q^{27} - 652 q^{28} - 40 q^{30} + 72 q^{31} - 113 q^{33} + 10 q^{34} - 127 q^{36} + 2 q^{37} - 51 q^{39} - 172 q^{40} - 274 q^{42} + 50 q^{43} - 518 q^{45} + 1070 q^{46} + 281 q^{48} + 132 q^{49} - 37 q^{51} - 2024 q^{52} - 809 q^{54} - 1810 q^{55} + 546 q^{57} - 716 q^{58} - 2 q^{60} + 410 q^{61} + 1371 q^{63} - 144 q^{64} - 814 q^{66} + 460 q^{67} - 123 q^{69} - 1296 q^{70} + 1196 q^{72} + 1324 q^{73} + 208 q^{75} + 1588 q^{76} - 118 q^{78} + 66 q^{79} + 220 q^{81} + 2412 q^{82} - 2123 q^{84} + 50 q^{85} - 954 q^{87} - 14 q^{88} - 504 q^{90} - 36 q^{91} - 1271 q^{93} - 1328 q^{94} + 1335 q^{96} - 90 q^{97} - 16 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(68\) \(136\)
\(\chi(n)\) \(-1\) \(e\left(\frac{32}{33}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0816192 0.854754i −0.0408096 0.427377i −0.992671 0.120848i \(-0.961438\pi\)
0.951861 0.306529i \(-0.0991676\pi\)
\(3\) 2.61588 1.46873i 0.871961 0.489575i
\(4\) 3.20377 0.617476i 0.800943 0.154369i
\(5\) 6.65997 + 0.957559i 1.33199 + 0.191512i 0.771279 0.636497i \(-0.219617\pi\)
0.560715 + 0.828009i \(0.310527\pi\)
\(6\) −1.46891 2.11606i −0.244818 0.352677i
\(7\) −5.73553 8.05442i −0.819361 1.15063i −0.986348 0.164672i \(-0.947343\pi\)
0.166988 0.985959i \(-0.446596\pi\)
\(8\) −1.75691 5.98349i −0.219614 0.747936i
\(9\) 4.68569 7.68403i 0.520632 0.853781i
\(10\) 0.274897 5.77079i 0.0274897 0.577079i
\(11\) −12.2277 + 15.5488i −1.11161 + 1.41352i −0.211758 + 0.977322i \(0.567919\pi\)
−0.899849 + 0.436202i \(0.856323\pi\)
\(12\) 7.47379 6.32071i 0.622816 0.526726i
\(13\) 2.56395 + 10.5687i 0.197227 + 0.812980i 0.981327 + 0.192346i \(0.0616095\pi\)
−0.784100 + 0.620634i \(0.786875\pi\)
\(14\) −6.41642 + 5.55986i −0.458316 + 0.397133i
\(15\) 18.8281 7.27680i 1.25521 0.485120i
\(16\) 7.14505 2.86045i 0.446566 0.178778i
\(17\) −2.85618 + 14.8193i −0.168011 + 0.871723i 0.795886 + 0.605447i \(0.207005\pi\)
−0.963897 + 0.266276i \(0.914207\pi\)
\(18\) −6.95040 3.37795i −0.386133 0.187664i
\(19\) −10.6933 + 15.0167i −0.562806 + 0.790351i −0.993702 0.112051i \(-0.964258\pi\)
0.430896 + 0.902401i \(0.358197\pi\)
\(20\) 21.9283 1.04457i 1.09641 0.0522286i
\(21\) −26.8332 12.6455i −1.27777 0.602167i
\(22\) 14.2884 + 9.18259i 0.649472 + 0.417390i
\(23\) 4.37735 8.49087i 0.190319 0.369168i −0.774298 0.632821i \(-0.781897\pi\)
0.964618 + 0.263653i \(0.0849273\pi\)
\(24\) −13.3840 13.0717i −0.557665 0.544653i
\(25\) 19.4509 + 5.71130i 0.778037 + 0.228452i
\(26\) 8.82441 3.05416i 0.339400 0.117468i
\(27\) 0.971491 26.9825i 0.0359811 0.999352i
\(28\) −23.3487 22.2630i −0.833883 0.795106i
\(29\) −24.3115 14.0363i −0.838328 0.484009i 0.0183675 0.999831i \(-0.494153\pi\)
−0.856696 + 0.515822i \(0.827486\pi\)
\(30\) −7.75661 15.4995i −0.258554 0.516649i
\(31\) 2.21038 9.11133i 0.0713027 0.293914i −0.924985 0.380005i \(-0.875922\pi\)
0.996287 + 0.0860908i \(0.0274375\pi\)
\(32\) −14.4583 28.0452i −0.451823 0.876414i
\(33\) −9.14932 + 58.6328i −0.277252 + 1.77675i
\(34\) 12.9000 + 1.23180i 0.379411 + 0.0362294i
\(35\) −30.4858 59.1343i −0.871024 1.68955i
\(36\) 10.2672 27.5112i 0.285199 0.764199i
\(37\) 32.6279 + 56.5132i 0.881836 + 1.52738i 0.849298 + 0.527913i \(0.177025\pi\)
0.0325373 + 0.999471i \(0.489641\pi\)
\(38\) 13.7083 + 7.91451i 0.360746 + 0.208277i
\(39\) 22.2296 + 23.8808i 0.569989 + 0.612329i
\(40\) −5.97142 41.5322i −0.149286 1.03830i
\(41\) −2.90795 + 1.00645i −0.0709257 + 0.0245476i −0.362300 0.932061i \(-0.618009\pi\)
0.291375 + 0.956609i \(0.405887\pi\)
\(42\) −8.61870 + 23.9679i −0.205207 + 0.570664i
\(43\) 14.2373 16.4307i 0.331100 0.382109i −0.565652 0.824644i \(-0.691375\pi\)
0.896751 + 0.442535i \(0.145921\pi\)
\(44\) −29.5737 + 57.3650i −0.672130 + 1.30375i
\(45\) 38.5645 46.6886i 0.856988 1.03752i
\(46\) −7.61488 3.04854i −0.165541 0.0662726i
\(47\) 82.7114 3.94003i 1.75982 0.0838304i 0.857388 0.514671i \(-0.172086\pi\)
0.902428 + 0.430840i \(0.141783\pi\)
\(48\) 14.4894 17.9767i 0.301863 0.374515i
\(49\) −15.9511 + 46.0876i −0.325532 + 0.940563i
\(50\) 3.29420 17.0919i 0.0658839 0.341838i
\(51\) 14.2940 + 42.9605i 0.280275 + 0.842362i
\(52\) 14.7402 + 32.2766i 0.283466 + 0.620705i
\(53\) −38.6245 + 33.4683i −0.728764 + 0.631478i −0.938099 0.346366i \(-0.887415\pi\)
0.209335 + 0.977844i \(0.432870\pi\)
\(54\) −23.1427 + 1.37190i −0.428569 + 0.0254056i
\(55\) −96.3248 + 91.8455i −1.75136 + 1.66992i
\(56\) −38.1167 + 48.4693i −0.680655 + 0.865524i
\(57\) −5.91711 + 54.9874i −0.103809 + 0.964691i
\(58\) −10.0133 + 21.9260i −0.172643 + 0.378034i
\(59\) −18.5969 63.3352i −0.315202 1.07348i −0.952923 0.303211i \(-0.901941\pi\)
0.637722 0.770267i \(-0.279877\pi\)
\(60\) 55.8276 34.9391i 0.930461 0.582318i
\(61\) 76.2598 59.9714i 1.25016 0.983137i 0.250272 0.968175i \(-0.419480\pi\)
0.999888 0.0149615i \(-0.00476258\pi\)
\(62\) −7.96836 1.14568i −0.128522 0.0184787i
\(63\) −88.7653 + 6.33143i −1.40897 + 0.100499i
\(64\) 3.10665 1.99652i 0.0485414 0.0311956i
\(65\) 6.95562 + 72.8426i 0.107010 + 1.12065i
\(66\) 50.8634 + 3.03486i 0.770658 + 0.0459828i
\(67\) −61.9669 + 25.4776i −0.924878 + 0.380263i
\(68\) 49.2412i 0.724136i
\(69\) −1.02013 28.6402i −0.0147844 0.415076i
\(70\) −48.0570 + 30.8844i −0.686529 + 0.441206i
\(71\) −20.1397 104.495i −0.283658 1.47176i −0.791957 0.610577i \(-0.790937\pi\)
0.508299 0.861181i \(-0.330275\pi\)
\(72\) −54.2096 14.5366i −0.752911 0.201897i
\(73\) −19.1475 + 15.0577i −0.262294 + 0.206270i −0.740642 0.671900i \(-0.765478\pi\)
0.478348 + 0.878171i \(0.341236\pi\)
\(74\) 45.6419 32.5014i 0.616782 0.439208i
\(75\) 59.2697 13.6280i 0.790262 0.181706i
\(76\) −24.9865 + 54.7128i −0.328770 + 0.719906i
\(77\) 195.368 + 9.30654i 2.53725 + 0.120864i
\(78\) 18.5979 20.9500i 0.238435 0.268589i
\(79\) −27.4868 + 26.2086i −0.347934 + 0.331755i −0.843813 0.536637i \(-0.819695\pi\)
0.495879 + 0.868392i \(0.334846\pi\)
\(80\) 50.3249 12.2087i 0.629061 0.152609i
\(81\) −37.0886 72.0100i −0.457884 0.889012i
\(82\) 1.09761 + 2.40344i 0.0133855 + 0.0293103i
\(83\) 7.30213 + 18.2398i 0.0879774 + 0.219757i 0.965831 0.259172i \(-0.0834495\pi\)
−0.877854 + 0.478929i \(0.841025\pi\)
\(84\) −93.7757 23.9444i −1.11638 0.285053i
\(85\) −33.2124 + 95.9610i −0.390734 + 1.12895i
\(86\) −15.2062 10.8283i −0.176817 0.125911i
\(87\) −84.2115 1.01027i −0.967948 0.0116124i
\(88\) 114.519 + 45.8464i 1.30135 + 0.520982i
\(89\) −89.2604 + 138.892i −1.00293 + 1.56058i −0.187055 + 0.982349i \(0.559894\pi\)
−0.815871 + 0.578234i \(0.803742\pi\)
\(90\) −43.0548 29.1525i −0.478387 0.323916i
\(91\) 70.4194 81.2684i 0.773840 0.893059i
\(92\) 8.78111 29.9057i 0.0954468 0.325062i
\(93\) −7.59993 27.0806i −0.0817197 0.291189i
\(94\) −10.1186 70.3763i −0.107645 0.748684i
\(95\) −85.5965 + 89.7710i −0.901016 + 0.944958i
\(96\) −79.0120 52.1278i −0.823042 0.542997i
\(97\) 44.1956 + 76.5489i 0.455624 + 0.789164i 0.998724 0.0505039i \(-0.0160827\pi\)
−0.543100 + 0.839668i \(0.682749\pi\)
\(98\) 40.6955 + 9.87262i 0.415260 + 0.100741i
\(99\) 62.1820 + 166.815i 0.628101 + 1.68500i
\(100\) 65.8429 + 6.28723i 0.658429 + 0.0628723i
\(101\) 5.48888 57.4821i 0.0543453 0.569130i −0.926760 0.375654i \(-0.877418\pi\)
0.981105 0.193475i \(-0.0619760\pi\)
\(102\) 35.5540 15.7243i 0.348569 0.154160i
\(103\) −14.7879 + 60.9565i −0.143572 + 0.591811i 0.853880 + 0.520470i \(0.174243\pi\)
−0.997452 + 0.0713414i \(0.977272\pi\)
\(104\) 58.7333 33.9097i 0.564743 0.326054i
\(105\) −166.599 109.913i −1.58666 1.04679i
\(106\) 31.7597 + 30.2828i 0.299620 + 0.285687i
\(107\) −110.122 + 15.8332i −1.02918 + 0.147973i −0.636160 0.771557i \(-0.719478\pi\)
−0.393018 + 0.919531i \(0.628569\pi\)
\(108\) −13.5486 87.0457i −0.125450 0.805979i
\(109\) 13.5876 + 3.98969i 0.124657 + 0.0366027i 0.343466 0.939165i \(-0.388399\pi\)
−0.218809 + 0.975768i \(0.570217\pi\)
\(110\) 86.3673 + 74.8377i 0.785157 + 0.680343i
\(111\) 168.353 + 99.9105i 1.51670 + 0.900095i
\(112\) −64.0199 41.1431i −0.571606 0.367349i
\(113\) 25.8647 64.6070i 0.228892 0.571744i −0.768812 0.639475i \(-0.779152\pi\)
0.997704 + 0.0677313i \(0.0215761\pi\)
\(114\) 47.4837 + 0.569656i 0.416523 + 0.00499698i
\(115\) 37.2835 52.3573i 0.324204 0.455281i
\(116\) −86.5556 29.9572i −0.746169 0.258252i
\(117\) 93.2243 + 29.8204i 0.796789 + 0.254875i
\(118\) −52.6182 + 21.0651i −0.445917 + 0.178518i
\(119\) 135.742 61.9915i 1.14069 0.520937i
\(120\) −76.6199 99.8729i −0.638499 0.832274i
\(121\) −63.7210 262.661i −0.526619 2.17075i
\(122\) −57.4850 60.2886i −0.471189 0.494169i
\(123\) −6.12867 + 6.90375i −0.0498266 + 0.0561281i
\(124\) 1.45554 30.5555i 0.0117382 0.246415i
\(125\) −28.9369 13.2150i −0.231495 0.105720i
\(126\) 12.6568 + 75.3558i 0.100451 + 0.598062i
\(127\) −55.3604 77.7429i −0.435909 0.612149i 0.536931 0.843626i \(-0.319583\pi\)
−0.972840 + 0.231477i \(0.925644\pi\)
\(128\) −79.9786 101.701i −0.624833 0.794540i
\(129\) 13.1109 63.8915i 0.101635 0.495283i
\(130\) 61.6948 11.8907i 0.474575 0.0914669i
\(131\) 73.8158 + 114.860i 0.563479 + 0.876791i 0.999735 0.0230319i \(-0.00733194\pi\)
−0.436255 + 0.899823i \(0.643696\pi\)
\(132\) 6.89205 + 193.496i 0.0522125 + 1.46588i
\(133\) 182.282 1.37054
\(134\) 26.8348 + 50.8870i 0.200260 + 0.379754i
\(135\) 32.3074 178.772i 0.239314 1.32424i
\(136\) 93.6891 8.94622i 0.688890 0.0657810i
\(137\) −8.96817 13.9548i −0.0654611 0.101860i 0.806980 0.590579i \(-0.201101\pi\)
−0.872441 + 0.488719i \(0.837464\pi\)
\(138\) −24.3971 + 3.20955i −0.176791 + 0.0232576i
\(139\) 1.00249 6.97245i 0.00721214 0.0501615i −0.985898 0.167350i \(-0.946479\pi\)
0.993110 + 0.117188i \(0.0373881\pi\)
\(140\) −134.184 170.628i −0.958455 1.21877i
\(141\) 210.576 131.787i 1.49345 0.934659i
\(142\) −87.6736 + 25.7433i −0.617420 + 0.181291i
\(143\) −195.682 89.3649i −1.36840 0.624930i
\(144\) 11.4997 68.3060i 0.0798594 0.474347i
\(145\) −148.473 116.761i −1.02395 0.805246i
\(146\) 14.4335 + 15.1374i 0.0988594 + 0.103681i
\(147\) 25.9639 + 143.988i 0.176625 + 0.979507i
\(148\) 139.428 + 160.908i 0.942081 + 1.08722i
\(149\) −29.9280 + 13.6677i −0.200859 + 0.0917294i −0.513305 0.858206i \(-0.671579\pi\)
0.312446 + 0.949936i \(0.398852\pi\)
\(150\) −16.4861 49.5487i −0.109907 0.330325i
\(151\) −123.953 23.8900i −0.820881 0.158212i −0.238515 0.971139i \(-0.576661\pi\)
−0.582366 + 0.812927i \(0.697873\pi\)
\(152\) 108.639 + 37.6004i 0.714732 + 0.247371i
\(153\) 100.489 + 91.3856i 0.656789 + 0.597292i
\(154\) −7.99099 167.752i −0.0518896 1.08930i
\(155\) 23.4457 58.5646i 0.151263 0.377836i
\(156\) 85.9643 + 62.7825i 0.551053 + 0.402452i
\(157\) −5.96713 3.07627i −0.0380072 0.0195941i 0.439118 0.898429i \(-0.355291\pi\)
−0.477125 + 0.878835i \(0.658321\pi\)
\(158\) 24.6454 + 21.3554i 0.155984 + 0.135160i
\(159\) −51.8814 + 144.278i −0.326298 + 0.907409i
\(160\) −69.4370 200.625i −0.433981 1.25391i
\(161\) −93.4954 + 13.4426i −0.580717 + 0.0834945i
\(162\) −58.5237 + 37.5790i −0.361257 + 0.231969i
\(163\) 33.8814 58.6843i 0.207861 0.360026i −0.743179 0.669092i \(-0.766683\pi\)
0.951041 + 0.309066i \(0.100016\pi\)
\(164\) −8.69496 + 5.02004i −0.0530181 + 0.0306100i
\(165\) −117.079 + 381.732i −0.709567 + 2.31353i
\(166\) 14.9946 7.73024i 0.0903288 0.0465677i
\(167\) −14.0822 + 147.475i −0.0843246 + 0.883087i 0.850028 + 0.526737i \(0.176585\pi\)
−0.934353 + 0.356349i \(0.884021\pi\)
\(168\) −28.5207 + 182.773i −0.169766 + 1.08793i
\(169\) 45.0888 23.2449i 0.266798 0.137544i
\(170\) 84.7339 + 20.5562i 0.498435 + 0.120919i
\(171\) 65.2829 + 152.531i 0.381771 + 0.891995i
\(172\) 35.4674 61.4314i 0.206206 0.357159i
\(173\) 80.2982 84.2144i 0.464152 0.486788i −0.449503 0.893279i \(-0.648399\pi\)
0.913655 + 0.406490i \(0.133248\pi\)
\(174\) 6.00973 + 72.0626i 0.0345387 + 0.414153i
\(175\) −65.5600 189.423i −0.374628 1.08242i
\(176\) −42.8910 + 146.073i −0.243699 + 0.829962i
\(177\) −141.669 138.364i −0.800392 0.781716i
\(178\) 126.004 + 64.9595i 0.707887 + 0.364941i
\(179\) 73.5365 114.425i 0.410819 0.639246i −0.572761 0.819723i \(-0.694128\pi\)
0.983579 + 0.180476i \(0.0577639\pi\)
\(180\) 94.7226 173.392i 0.526237 0.963289i
\(181\) −2.05052 43.0456i −0.0113288 0.237821i −0.997429 0.0716670i \(-0.977168\pi\)
0.986100 0.166154i \(-0.0531349\pi\)
\(182\) −75.2121 53.5583i −0.413253 0.294276i
\(183\) 111.405 268.883i 0.608772 1.46930i
\(184\) −58.4956 11.2741i −0.317911 0.0612723i
\(185\) 163.186 + 407.619i 0.882087 + 2.20335i
\(186\) −22.5270 + 8.70637i −0.121113 + 0.0468085i
\(187\) −195.497 225.616i −1.04544 1.20650i
\(188\) 262.555 63.6953i 1.39657 0.338805i
\(189\) −222.900 + 146.934i −1.17937 + 0.777429i
\(190\) 83.7185 + 65.8369i 0.440624 + 0.346510i
\(191\) −188.888 8.99783i −0.988941 0.0471091i −0.453128 0.891446i \(-0.649692\pi\)
−0.535813 + 0.844337i \(0.679995\pi\)
\(192\) 5.19429 9.78548i 0.0270536 0.0509660i
\(193\) 161.753 47.4948i 0.838096 0.246087i 0.165605 0.986192i \(-0.447042\pi\)
0.672491 + 0.740105i \(0.265224\pi\)
\(194\) 61.8233 44.0242i 0.318677 0.226929i
\(195\) 125.181 + 180.332i 0.641953 + 0.924778i
\(196\) −22.6456 + 157.504i −0.115539 + 0.803590i
\(197\) −1.12530 5.83862i −0.00571219 0.0296377i 0.978961 0.204049i \(-0.0654100\pi\)
−0.984673 + 0.174411i \(0.944198\pi\)
\(198\) 137.510 66.7656i 0.694496 0.337200i
\(199\) −236.711 + 22.6031i −1.18950 + 0.113584i −0.670977 0.741479i \(-0.734125\pi\)
−0.518525 + 0.855062i \(0.673519\pi\)
\(200\) 126.419i 0.632093i
\(201\) −124.678 + 157.659i −0.620291 + 0.784372i
\(202\) −49.5811 −0.245451
\(203\) 26.3854 + 276.320i 0.129977 + 1.36118i
\(204\) 72.3219 + 128.809i 0.354519 + 0.631418i
\(205\) −20.3306 + 3.91841i −0.0991737 + 0.0191142i
\(206\) 53.3099 + 7.66480i 0.258786 + 0.0372078i
\(207\) −44.7332 73.4212i −0.216102 0.354692i
\(208\) 48.5509 + 68.1802i 0.233418 + 0.327789i
\(209\) −102.736 349.887i −0.491560 1.67410i
\(210\) −80.3509 + 151.373i −0.382623 + 0.720822i
\(211\) 6.06306 127.279i 0.0287349 0.603219i −0.937876 0.346971i \(-0.887210\pi\)
0.966611 0.256249i \(-0.0824866\pi\)
\(212\) −103.078 + 131.075i −0.486218 + 0.618276i
\(213\) −206.157 243.767i −0.967875 1.14444i
\(214\) 22.5215 + 92.8350i 0.105241 + 0.433809i
\(215\) 110.553 95.7949i 0.514201 0.445558i
\(216\) −163.156 + 41.5929i −0.755353 + 0.192560i
\(217\) −86.0642 + 34.4549i −0.396609 + 0.158778i
\(218\) 2.30120 11.9397i 0.0105559 0.0547694i
\(219\) −27.9719 + 67.5117i −0.127725 + 0.308272i
\(220\) −251.890 + 353.730i −1.14496 + 1.60786i
\(221\) −163.944 + 7.80963i −0.741829 + 0.0353377i
\(222\) 71.6581 152.055i 0.322784 0.684934i
\(223\) 79.4564 + 51.0636i 0.356307 + 0.228985i 0.706532 0.707681i \(-0.250259\pi\)
−0.350225 + 0.936666i \(0.613895\pi\)
\(224\) −142.962 + 277.308i −0.638223 + 1.23798i
\(225\) 135.027 122.700i 0.600119 0.545333i
\(226\) −57.3342 16.8348i −0.253691 0.0744904i
\(227\) 229.497 79.4296i 1.01100 0.349910i 0.229159 0.973389i \(-0.426402\pi\)
0.781840 + 0.623479i \(0.214281\pi\)
\(228\) 14.9963 + 179.821i 0.0657734 + 0.788687i
\(229\) 40.0169 + 38.1560i 0.174746 + 0.166620i 0.772405 0.635130i \(-0.219054\pi\)
−0.597659 + 0.801751i \(0.703902\pi\)
\(230\) −47.7957 27.5949i −0.207807 0.119978i
\(231\) 524.730 262.598i 2.27156 1.13679i
\(232\) −41.2726 + 170.128i −0.177899 + 0.733310i
\(233\) −49.1823 95.4003i −0.211083 0.409443i 0.759396 0.650628i \(-0.225494\pi\)
−0.970479 + 0.241185i \(0.922464\pi\)
\(234\) 17.8802 82.1178i 0.0764112 0.350931i
\(235\) 554.628 + 52.9605i 2.36012 + 0.225364i
\(236\) −98.6882 191.428i −0.418170 0.811137i
\(237\) −33.4090 + 108.929i −0.140966 + 0.459617i
\(238\) −64.0667 110.967i −0.269188 0.466247i
\(239\) 134.236 + 77.5009i 0.561655 + 0.324272i 0.753810 0.657093i \(-0.228214\pi\)
−0.192154 + 0.981365i \(0.561547\pi\)
\(240\) 113.713 105.850i 0.473803 0.441041i
\(241\) 31.7036 + 220.503i 0.131550 + 0.914951i 0.943535 + 0.331273i \(0.107478\pi\)
−0.811985 + 0.583678i \(0.801613\pi\)
\(242\) −219.310 + 75.9040i −0.906240 + 0.313653i
\(243\) −202.782 133.897i −0.834495 0.551015i
\(244\) 207.288 239.223i 0.849541 0.980423i
\(245\) −150.365 + 291.668i −0.613736 + 1.19048i
\(246\) 6.40123 + 4.67503i 0.0260213 + 0.0190042i
\(247\) −186.124 74.5129i −0.753540 0.301672i
\(248\) −58.4009 + 2.78198i −0.235488 + 0.0112177i
\(249\) 45.8908 + 36.9884i 0.184300 + 0.148548i
\(250\) −8.93380 + 25.8125i −0.0357352 + 0.103250i
\(251\) 34.3743 178.351i 0.136949 0.710560i −0.846927 0.531709i \(-0.821550\pi\)
0.983876 0.178851i \(-0.0572380\pi\)
\(252\) −280.474 + 75.0949i −1.11299 + 0.297996i
\(253\) 78.4977 + 171.886i 0.310268 + 0.679391i
\(254\) −61.9326 + 53.6649i −0.243829 + 0.211279i
\(255\) 54.0605 + 299.803i 0.212002 + 1.17570i
\(256\) −69.7110 + 66.4694i −0.272309 + 0.259646i
\(257\) 254.242 323.295i 0.989267 1.25796i 0.0231822 0.999731i \(-0.492620\pi\)
0.966085 0.258224i \(-0.0831374\pi\)
\(258\) −55.6816 5.99182i −0.215820 0.0232241i
\(259\) 268.043 586.932i 1.03491 2.26615i
\(260\) 67.2628 + 229.076i 0.258703 + 0.881061i
\(261\) −221.771 + 121.041i −0.849698 + 0.463758i
\(262\) 92.1520 72.4691i 0.351725 0.276600i
\(263\) −222.834 32.0387i −0.847277 0.121820i −0.295017 0.955492i \(-0.595325\pi\)
−0.552260 + 0.833672i \(0.686234\pi\)
\(264\) 366.903 48.2678i 1.38979 0.182833i
\(265\) −289.286 + 185.913i −1.09164 + 0.701557i
\(266\) −14.8777 155.807i −0.0559313 0.585739i
\(267\) −29.5007 + 494.424i −0.110490 + 1.85178i
\(268\) −182.796 + 119.888i −0.682074 + 0.447341i
\(269\) 411.493i 1.52971i 0.644201 + 0.764857i \(0.277190\pi\)
−0.644201 + 0.764857i \(0.722810\pi\)
\(270\) −155.443 13.0237i −0.575716 0.0482358i
\(271\) 159.443 102.467i 0.588349 0.378109i −0.212334 0.977197i \(-0.568107\pi\)
0.800683 + 0.599088i \(0.204470\pi\)
\(272\) 21.9822 + 114.055i 0.0808170 + 0.419318i
\(273\) 64.8481 316.015i 0.237539 1.15757i
\(274\) −11.1959 + 8.80456i −0.0408610 + 0.0321334i
\(275\) −326.643 + 232.602i −1.18779 + 0.845824i
\(276\) −20.9529 91.1269i −0.0759164 0.330170i
\(277\) −206.800 + 452.828i −0.746570 + 1.63476i 0.0258650 + 0.999665i \(0.491766\pi\)
−0.772435 + 0.635094i \(0.780961\pi\)
\(278\) −6.04156 0.287795i −0.0217322 0.00103523i
\(279\) −59.6545 59.6775i −0.213816 0.213898i
\(280\) −300.268 + 286.305i −1.07239 + 1.02252i
\(281\) −74.4166 + 18.0533i −0.264828 + 0.0642465i −0.365974 0.930625i \(-0.619264\pi\)
0.101146 + 0.994872i \(0.467749\pi\)
\(282\) −129.833 169.235i −0.460399 0.600123i
\(283\) −226.493 495.951i −0.800329 1.75248i −0.644371 0.764713i \(-0.722881\pi\)
−0.155958 0.987764i \(-0.549847\pi\)
\(284\) −129.046 322.342i −0.454388 1.13501i
\(285\) −92.0614 + 360.548i −0.323023 + 1.26508i
\(286\) −60.4137 + 174.554i −0.211237 + 0.610328i
\(287\) 24.7850 + 17.6493i 0.0863590 + 0.0614960i
\(288\) −283.248 20.3131i −0.983499 0.0705317i
\(289\) 56.8448 + 22.7572i 0.196695 + 0.0787447i
\(290\) −87.6835 + 136.438i −0.302357 + 0.470476i
\(291\) 228.040 + 135.332i 0.783642 + 0.465058i
\(292\) −52.0463 + 60.0647i −0.178241 + 0.205701i
\(293\) 70.1785 239.006i 0.239517 0.815720i −0.748733 0.662872i \(-0.769337\pi\)
0.988250 0.152848i \(-0.0488446\pi\)
\(294\) 120.955 33.9449i 0.411411 0.115459i
\(295\) −63.2075 439.618i −0.214263 1.49023i
\(296\) 280.822 294.517i 0.948722 0.994991i
\(297\) 407.666 + 345.039i 1.37261 + 1.16175i
\(298\) 14.1252 + 24.4656i 0.0474000 + 0.0820993i
\(299\) 100.961 + 24.4929i 0.337662 + 0.0819160i
\(300\) 181.472 80.2584i 0.604905 0.267528i
\(301\) −213.998 20.4343i −0.710957 0.0678882i
\(302\) −10.3031 + 107.899i −0.0341163 + 0.357283i
\(303\) −70.0672 158.428i −0.231245 0.522865i
\(304\) −33.4499 + 137.883i −0.110033 + 0.453561i
\(305\) 565.314 326.384i 1.85349 1.07011i
\(306\) 69.9105 93.3519i 0.228466 0.305072i
\(307\) 155.898 + 148.648i 0.507810 + 0.484196i 0.900123 0.435636i \(-0.143476\pi\)
−0.392313 + 0.919832i \(0.628325\pi\)
\(308\) 631.662 90.8193i 2.05085 0.294868i
\(309\) 50.8450 + 181.175i 0.164547 + 0.586326i
\(310\) −51.9719 15.2603i −0.167651 0.0492269i
\(311\) −274.616 237.957i −0.883011 0.765133i 0.0899879 0.995943i \(-0.471317\pi\)
−0.972999 + 0.230809i \(0.925863\pi\)
\(312\) 103.835 174.967i 0.332806 0.560791i
\(313\) −53.1436 34.1533i −0.169788 0.109116i 0.452987 0.891517i \(-0.350358\pi\)
−0.622775 + 0.782401i \(0.713995\pi\)
\(314\) −2.14242 + 5.35151i −0.00682300 + 0.0170430i
\(315\) −597.237 42.8309i −1.89599 0.135971i
\(316\) −71.8783 + 100.939i −0.227463 + 0.319427i
\(317\) 483.414 + 167.311i 1.52497 + 0.527796i 0.955696 0.294355i \(-0.0951047\pi\)
0.569270 + 0.822151i \(0.307226\pi\)
\(318\) 127.557 + 32.5700i 0.401122 + 0.102421i
\(319\) 515.520 206.383i 1.61605 0.646969i
\(320\) 22.6020 10.3220i 0.0706311 0.0322562i
\(321\) −264.812 + 203.157i −0.824959 + 0.632887i
\(322\) 19.1211 + 78.8184i 0.0593824 + 0.244778i
\(323\) −191.994 201.358i −0.594409 0.623399i
\(324\) −163.288 207.802i −0.503975 0.641365i
\(325\) −10.4901 + 220.215i −0.0322773 + 0.677585i
\(326\) −52.9260 24.1705i −0.162350 0.0741427i
\(327\) 41.4035 9.51995i 0.126616 0.0291130i
\(328\) 11.1311 + 15.6315i 0.0339363 + 0.0476569i
\(329\) −506.128 643.594i −1.53838 1.95621i
\(330\) 335.843 + 68.9168i 1.01771 + 0.208839i
\(331\) −68.8117 + 13.2624i −0.207890 + 0.0400676i −0.292133 0.956378i \(-0.594365\pi\)
0.0842427 + 0.996445i \(0.473153\pi\)
\(332\) 34.6570 + 53.9273i 0.104389 + 0.162432i
\(333\) 587.133 + 14.0896i 1.76316 + 0.0423110i
\(334\) 127.205 0.380852
\(335\) −437.094 + 110.343i −1.30476 + 0.329383i
\(336\) −227.896 13.5979i −0.678263 0.0404698i
\(337\) 3.68973 0.352326i 0.0109487 0.00104548i −0.0895802 0.995980i \(-0.528553\pi\)
0.100529 + 0.994934i \(0.467946\pi\)
\(338\) −23.5488 36.6427i −0.0696710 0.108410i
\(339\) −27.2308 206.993i −0.0803269 0.610598i
\(340\) −47.1514 + 327.945i −0.138681 + 0.964544i
\(341\) 114.642 + 145.779i 0.336194 + 0.427505i
\(342\) 125.048 68.2503i 0.365639 0.199562i
\(343\) −2.18293 + 0.640967i −0.00636424 + 0.00186871i
\(344\) −123.326 56.3213i −0.358507 0.163725i
\(345\) 20.6307 191.720i 0.0597991 0.555710i
\(346\) −78.5365 61.7618i −0.226984 0.178502i
\(347\) 215.233 + 225.730i 0.620269 + 0.650519i 0.956661 0.291203i \(-0.0940554\pi\)
−0.336393 + 0.941722i \(0.609207\pi\)
\(348\) −270.418 + 48.7619i −0.777064 + 0.140120i
\(349\) −138.028 159.293i −0.395495 0.456426i 0.522722 0.852503i \(-0.324917\pi\)
−0.918217 + 0.396077i \(0.870371\pi\)
\(350\) −156.559 + 71.4982i −0.447312 + 0.204281i
\(351\) 287.662 58.9143i 0.819550 0.167847i
\(352\) 612.860 + 118.119i 1.74108 + 0.335566i
\(353\) 143.544 + 49.6811i 0.406640 + 0.140740i 0.522728 0.852499i \(-0.324914\pi\)
−0.116088 + 0.993239i \(0.537035\pi\)
\(354\) −106.704 + 132.386i −0.301424 + 0.373971i
\(355\) −34.0700 715.217i −0.0959718 2.01470i
\(356\) −200.208 + 500.094i −0.562381 + 1.40476i
\(357\) 264.038 361.531i 0.739602 1.01269i
\(358\) −103.807 53.5164i −0.289965 0.149487i
\(359\) 441.858 + 382.872i 1.23080 + 1.06650i 0.995518 + 0.0945683i \(0.0301471\pi\)
0.235283 + 0.971927i \(0.424398\pi\)
\(360\) −347.115 148.722i −0.964207 0.413117i
\(361\) 6.91838 + 19.9894i 0.0191645 + 0.0553722i
\(362\) −36.6261 + 5.26603i −0.101177 + 0.0145471i
\(363\) −552.464 593.503i −1.52194 1.63499i
\(364\) 175.426 303.848i 0.481941 0.834746i
\(365\) −141.940 + 81.9492i −0.388877 + 0.224518i
\(366\) −238.922 73.2781i −0.652791 0.200213i
\(367\) 77.6366 40.0244i 0.211544 0.109058i −0.349199 0.937049i \(-0.613546\pi\)
0.560742 + 0.827990i \(0.310516\pi\)
\(368\) 6.98869 73.1889i 0.0189910 0.198883i
\(369\) −5.89216 + 27.0607i −0.0159679 + 0.0733353i
\(370\) 335.095 172.754i 0.905663 0.466902i
\(371\) 491.100 + 119.139i 1.32372 + 0.321131i
\(372\) −41.0701 82.0673i −0.110403 0.220611i
\(373\) 108.928 188.670i 0.292033 0.505816i −0.682257 0.731112i \(-0.739002\pi\)
0.974290 + 0.225296i \(0.0723349\pi\)
\(374\) −176.890 + 185.517i −0.472967 + 0.496034i
\(375\) −95.1047 + 7.93135i −0.253612 + 0.0211503i
\(376\) −168.891 487.980i −0.449180 1.29782i
\(377\) 86.0121 292.930i 0.228149 0.777003i
\(378\) 143.786 + 178.533i 0.380385 + 0.472308i
\(379\) −412.329 212.570i −1.08794 0.560872i −0.181579 0.983376i \(-0.558121\pi\)
−0.906361 + 0.422505i \(0.861151\pi\)
\(380\) −218.800 + 340.460i −0.575790 + 0.895946i
\(381\) −258.999 122.057i −0.679788 0.320359i
\(382\) 7.72592 + 162.187i 0.0202249 + 0.424573i
\(383\) 399.220 + 284.283i 1.04235 + 0.742254i 0.966967 0.254900i \(-0.0820426\pi\)
0.0753832 + 0.997155i \(0.475982\pi\)
\(384\) −358.586 148.572i −0.933817 0.386905i
\(385\) 1292.24 + 249.058i 3.35646 + 0.646904i
\(386\) −53.7985 134.382i −0.139374 0.348140i
\(387\) −59.5425 186.389i −0.153857 0.481625i
\(388\) 188.860 + 217.956i 0.486752 + 0.561741i
\(389\) 340.613 82.6319i 0.875613 0.212421i 0.227327 0.973819i \(-0.427001\pi\)
0.648286 + 0.761397i \(0.275486\pi\)
\(390\) 143.922 121.717i 0.369031 0.312096i
\(391\) 113.326 + 89.1207i 0.289837 + 0.227930i
\(392\) 303.789 + 14.4713i 0.774972 + 0.0369165i
\(393\) 361.791 + 192.044i 0.920587 + 0.488662i
\(394\) −4.89874 + 1.43840i −0.0124333 + 0.00365076i
\(395\) −208.158 + 148.228i −0.526981 + 0.375262i
\(396\) 302.221 + 496.040i 0.763184 + 1.25263i
\(397\) −108.414 + 754.037i −0.273083 + 1.89934i 0.142521 + 0.989792i \(0.454479\pi\)
−0.415604 + 0.909546i \(0.636430\pi\)
\(398\) 38.6403 + 200.485i 0.0970861 + 0.503731i
\(399\) 476.829 267.723i 1.19506 0.670984i
\(400\) 155.315 14.8308i 0.388287 0.0370769i
\(401\) 493.919i 1.23172i −0.787856 0.615859i \(-0.788809\pi\)
0.787856 0.615859i \(-0.211191\pi\)
\(402\) 144.936 + 93.7015i 0.360537 + 0.233088i
\(403\) 101.963 0.253009
\(404\) −17.9087 187.549i −0.0443286 0.464230i
\(405\) −178.055 515.099i −0.439642 1.27185i
\(406\) 234.033 45.1061i 0.576435 0.111099i
\(407\) −1277.67 183.702i −3.13925 0.451356i
\(408\) 231.940 161.006i 0.568481 0.394622i
\(409\) −302.210 424.394i −0.738899 1.03764i −0.997431 0.0716358i \(-0.977178\pi\)
0.258532 0.966003i \(-0.416761\pi\)
\(410\) 5.00864 + 17.0579i 0.0122162 + 0.0416046i
\(411\) −43.9554 23.3322i −0.106947 0.0567694i
\(412\) −9.73782 + 204.422i −0.0236355 + 0.496170i
\(413\) −403.465 + 513.048i −0.976914 + 1.24225i
\(414\) −59.1061 + 44.2285i −0.142768 + 0.106832i
\(415\) 31.1662 + 128.469i 0.0750993 + 0.309564i
\(416\) 259.332 224.713i 0.623395 0.540175i
\(417\) −7.61823 19.7115i −0.0182691 0.0472698i
\(418\) −290.682 + 116.372i −0.695412 + 0.278401i
\(419\) 104.690 543.183i 0.249857 1.29638i −0.612658 0.790348i \(-0.709900\pi\)
0.862515 0.506032i \(-0.168888\pi\)
\(420\) −601.615 249.265i −1.43242 0.593488i
\(421\) 62.1934 87.3384i 0.147728 0.207455i −0.734081 0.679062i \(-0.762387\pi\)
0.881809 + 0.471607i \(0.156326\pi\)
\(422\) −109.287 + 5.20600i −0.258975 + 0.0123365i
\(423\) 357.285 654.018i 0.844644 1.54614i
\(424\) 268.117 + 172.308i 0.632351 + 0.406388i
\(425\) −140.193 + 271.936i −0.329866 + 0.639850i
\(426\) −191.534 + 196.110i −0.449611 + 0.460352i
\(427\) −920.424 270.261i −2.15556 0.632930i
\(428\) −343.029 + 118.724i −0.801470 + 0.277392i
\(429\) −643.134 + 53.6348i −1.49915 + 0.125023i
\(430\) −90.9044 86.6771i −0.211406 0.201575i
\(431\) −19.1394 11.0502i −0.0444070 0.0256384i 0.477632 0.878560i \(-0.341495\pi\)
−0.522039 + 0.852922i \(0.674829\pi\)
\(432\) −70.2407 195.570i −0.162594 0.452709i
\(433\) 14.6507 60.3908i 0.0338352 0.139471i −0.952389 0.304887i \(-0.901381\pi\)
0.986224 + 0.165416i \(0.0528966\pi\)
\(434\) 36.4750 + 70.7516i 0.0840437 + 0.163022i
\(435\) −559.878 87.3658i −1.28708 0.200841i
\(436\) 45.9952 + 4.39201i 0.105494 + 0.0100734i
\(437\) 80.6962 + 156.529i 0.184659 + 0.358189i
\(438\) 59.9889 + 18.3988i 0.136961 + 0.0420065i
\(439\) 331.574 + 574.303i 0.755294 + 1.30821i 0.945228 + 0.326410i \(0.105839\pi\)
−0.189934 + 0.981797i \(0.560828\pi\)
\(440\) 718.790 + 414.994i 1.63361 + 0.943168i
\(441\) 279.397 + 338.521i 0.633553 + 0.767621i
\(442\) 20.0563 + 139.495i 0.0453763 + 0.315599i
\(443\) 120.492 41.7027i 0.271991 0.0941371i −0.187668 0.982233i \(-0.560093\pi\)
0.459659 + 0.888095i \(0.347972\pi\)
\(444\) 601.058 + 216.136i 1.35373 + 0.486793i
\(445\) −727.469 + 839.544i −1.63476 + 1.88661i
\(446\) 37.1616 72.0835i 0.0833221 0.161622i
\(447\) −58.2142 + 79.7091i −0.130233 + 0.178320i
\(448\) −33.8991 13.5711i −0.0756676 0.0302927i
\(449\) −69.0253 + 3.28808i −0.153731 + 0.00732312i −0.124306 0.992244i \(-0.539671\pi\)
−0.0294248 + 0.999567i \(0.509368\pi\)
\(450\) −115.899 105.400i −0.257554 0.234222i
\(451\) 19.9084 57.5217i 0.0441429 0.127543i
\(452\) 42.9714 222.957i 0.0950695 0.493268i
\(453\) −359.335 + 119.560i −0.793233 + 0.263928i
\(454\) −86.6241 189.680i −0.190802 0.417798i
\(455\) 546.810 473.814i 1.20178 1.04135i
\(456\) 339.412 61.2029i 0.744325 0.134217i
\(457\) −455.533 + 434.349i −0.996789 + 0.950436i −0.998771 0.0495617i \(-0.984218\pi\)
0.00198208 + 0.999998i \(0.499369\pi\)
\(458\) 29.3479 37.3189i 0.0640784 0.0814823i
\(459\) 397.087 + 91.4638i 0.865113 + 0.199268i
\(460\) 87.1184 190.763i 0.189388 0.414701i
\(461\) −83.6804 284.989i −0.181519 0.618198i −0.999101 0.0423859i \(-0.986504\pi\)
0.817582 0.575812i \(-0.195314\pi\)
\(462\) −267.285 427.082i −0.578538 0.924420i
\(463\) −373.756 + 293.925i −0.807249 + 0.634828i −0.934067 0.357098i \(-0.883766\pi\)
0.126818 + 0.991926i \(0.459524\pi\)
\(464\) −213.857 30.7480i −0.460899 0.0662672i
\(465\) −24.6840 187.633i −0.0530839 0.403513i
\(466\) −77.5296 + 49.8253i −0.166373 + 0.106921i
\(467\) −37.8137 396.003i −0.0809714 0.847971i −0.941152 0.337982i \(-0.890256\pi\)
0.860181 0.509989i \(-0.170350\pi\)
\(468\) 317.083 + 37.9739i 0.677527 + 0.0811407i
\(469\) 560.620 + 352.979i 1.19535 + 0.752621i
\(470\) 478.393i 1.01786i
\(471\) −20.1275 + 0.716914i −0.0427336 + 0.00152211i
\(472\) −346.292 + 222.548i −0.733670 + 0.471501i
\(473\) 81.3881 + 422.281i 0.172068 + 0.892773i
\(474\) 95.8346 + 19.6658i 0.202183 + 0.0414890i
\(475\) −293.760 + 231.015i −0.618441 + 0.486348i
\(476\) 396.610 282.424i 0.833213 0.593329i
\(477\) 76.1891 + 453.614i 0.159726 + 0.950973i
\(478\) 55.2881 121.064i 0.115665 0.253272i
\(479\) 2.91198 + 0.138714i 0.00607928 + 0.000289592i 0.0506213 0.998718i \(-0.483880\pi\)
−0.0445421 + 0.999008i \(0.514183\pi\)
\(480\) −476.302 422.828i −0.992296 0.880891i
\(481\) −513.617 + 489.733i −1.06781 + 1.01816i
\(482\) 185.889 45.0961i 0.385661 0.0935603i
\(483\) −224.830 + 172.483i −0.465486 + 0.357108i
\(484\) −366.335 802.161i −0.756890 1.65736i
\(485\) 221.041 + 552.133i 0.455754 + 1.13842i
\(486\) −97.8979 + 184.258i −0.201436 + 0.379131i
\(487\) −78.8474 + 227.815i −0.161904 + 0.467792i −0.996550 0.0829955i \(-0.973551\pi\)
0.834646 + 0.550787i \(0.185672\pi\)
\(488\) −492.819 350.935i −1.00988 0.719129i
\(489\) 2.43865 203.274i 0.00498702 0.415693i
\(490\) 261.577 + 104.720i 0.533831 + 0.213714i
\(491\) −131.208 + 204.164i −0.267227 + 0.415813i −0.948771 0.315964i \(-0.897672\pi\)
0.681545 + 0.731777i \(0.261309\pi\)
\(492\) −15.3719 + 25.9023i −0.0312438 + 0.0526470i
\(493\) 277.446 320.189i 0.562770 0.649471i
\(494\) −48.4989 + 165.172i −0.0981760 + 0.334357i
\(495\) 254.395 + 1170.52i 0.513930 + 2.36469i
\(496\) −10.2692 71.4236i −0.0207040 0.143999i
\(497\) −726.133 + 761.547i −1.46103 + 1.53229i
\(498\) 27.8705 42.2443i 0.0559648 0.0848280i
\(499\) 252.153 + 436.741i 0.505316 + 0.875233i 0.999981 + 0.00614961i \(0.00195749\pi\)
−0.494665 + 0.869084i \(0.664709\pi\)
\(500\) −100.867 24.4701i −0.201734 0.0489402i
\(501\) 179.764 + 406.462i 0.358810 + 0.811300i
\(502\) −155.252 14.8247i −0.309266 0.0295313i
\(503\) 8.13814 85.2265i 0.0161792 0.169436i −0.983771 0.179429i \(-0.942575\pi\)
0.999950 + 0.00999299i \(0.00318092\pi\)
\(504\) 193.837 + 520.002i 0.384596 + 1.03175i
\(505\) 91.5983 377.573i 0.181383 0.747670i
\(506\) 140.513 81.1254i 0.277694 0.160327i
\(507\) 83.8067 127.029i 0.165299 0.250550i
\(508\) −225.367 214.887i −0.443635 0.423005i
\(509\) 460.185 66.1646i 0.904096 0.129989i 0.325441 0.945562i \(-0.394487\pi\)
0.578654 + 0.815573i \(0.303578\pi\)
\(510\) 251.845 70.6781i 0.493814 0.138585i
\(511\) 231.102 + 67.8577i 0.452255 + 0.132794i
\(512\) −328.617 284.748i −0.641830 0.556149i
\(513\) 394.799 + 303.121i 0.769589 + 0.590880i
\(514\) −297.088 190.927i −0.577993 0.371454i
\(515\) −156.856 + 391.808i −0.304576 + 0.760793i
\(516\) 2.55281 212.789i 0.00494730 0.412382i
\(517\) −950.106 + 1334.24i −1.83773 + 2.58073i
\(518\) −523.560 181.206i −1.01073 0.349818i
\(519\) 86.3630 338.231i 0.166403 0.651698i
\(520\) 423.632 169.597i 0.814677 0.326147i
\(521\) −393.026 + 179.489i −0.754368 + 0.344509i −0.755203 0.655491i \(-0.772462\pi\)
0.000834426 1.00000i \(0.499734\pi\)
\(522\) 121.561 + 179.681i 0.232875 + 0.344216i
\(523\) 182.153 + 750.844i 0.348284 + 1.43565i 0.829235 + 0.558900i \(0.188776\pi\)
−0.480951 + 0.876748i \(0.659708\pi\)
\(524\) 307.412 + 322.404i 0.586664 + 0.615276i
\(525\) −449.708 399.219i −0.856586 0.760418i
\(526\) −9.19768 + 193.083i −0.0174861 + 0.367078i
\(527\) 128.710 + 58.7800i 0.244232 + 0.111537i
\(528\) 102.344 + 445.106i 0.193833 + 0.843004i
\(529\) 253.916 + 356.576i 0.479993 + 0.674056i
\(530\) 182.521 + 232.094i 0.344379 + 0.437914i
\(531\) −573.809 153.870i −1.08062 0.289774i
\(532\) 583.991 112.555i 1.09773 0.211570i
\(533\) −18.0928 28.1529i −0.0339452 0.0528197i
\(534\) 425.019 15.1386i 0.795916 0.0283494i
\(535\) −748.571 −1.39920
\(536\) 261.315 + 326.016i 0.487528 + 0.608239i
\(537\) 24.3040 407.328i 0.0452588 0.758524i
\(538\) 351.725 33.5857i 0.653765 0.0624269i
\(539\) −521.560 811.564i −0.967645 1.50568i
\(540\) −6.88208 592.695i −0.0127446 1.09758i
\(541\) 95.3241 662.994i 0.176200 1.22550i −0.689258 0.724516i \(-0.742063\pi\)
0.865458 0.500981i \(-0.167027\pi\)
\(542\) −100.598 127.921i −0.185605 0.236016i
\(543\) −68.5861 109.591i −0.126310 0.201824i
\(544\) 456.906 134.160i 0.839901 0.246617i
\(545\) 86.6729 + 39.5822i 0.159033 + 0.0726279i
\(546\) −275.408 29.6363i −0.504411 0.0542789i
\(547\) 515.545 + 405.429i 0.942495 + 0.741186i 0.966001 0.258537i \(-0.0832405\pi\)
−0.0235061 + 0.999724i \(0.507483\pi\)
\(548\) −37.3487 39.1702i −0.0681546 0.0714785i
\(549\) −103.492 866.990i −0.188510 1.57922i
\(550\) 225.478 + 260.215i 0.409959 + 0.473118i
\(551\) 470.749 214.984i 0.854353 0.390170i
\(552\) −169.576 + 56.4222i −0.307203 + 0.102214i
\(553\) 368.747 + 71.0701i 0.666811 + 0.128517i
\(554\) 403.936 + 139.804i 0.729126 + 0.252353i
\(555\) 1025.56 + 826.609i 1.84785 + 1.48938i
\(556\) −1.09358 22.9572i −0.00196688 0.0412899i
\(557\) 65.3379 163.206i 0.117303 0.293009i −0.858084 0.513510i \(-0.828345\pi\)
0.975387 + 0.220501i \(0.0707691\pi\)
\(558\) −46.1407 + 55.8608i −0.0826894 + 0.100109i
\(559\) 210.155 + 108.343i 0.375949 + 0.193815i
\(560\) −386.973 335.314i −0.691024 0.598776i
\(561\) −842.765 303.053i −1.50225 0.540201i
\(562\) 21.5049 + 62.1344i 0.0382650 + 0.110559i
\(563\) 823.668 118.426i 1.46300 0.210347i 0.635625 0.771998i \(-0.280743\pi\)
0.827374 + 0.561651i \(0.189834\pi\)
\(564\) 593.263 552.241i 1.05189 0.979151i
\(565\) 234.123 405.514i 0.414378 0.717723i
\(566\) −405.430 + 234.075i −0.716308 + 0.413560i
\(567\) −367.276 + 711.742i −0.647753 + 1.25528i
\(568\) −589.860 + 304.094i −1.03849 + 0.535376i
\(569\) −55.6462 + 582.753i −0.0977964 + 1.02417i 0.804760 + 0.593600i \(0.202294\pi\)
−0.902557 + 0.430571i \(0.858312\pi\)
\(570\) 315.694 + 49.2623i 0.553849 + 0.0864251i
\(571\) 707.185 364.579i 1.23850 0.638492i 0.290536 0.956864i \(-0.406166\pi\)
0.947966 + 0.318372i \(0.103136\pi\)
\(572\) −682.101 165.476i −1.19248 0.289293i
\(573\) −507.324 + 253.887i −0.885381 + 0.443084i
\(574\) 13.0629 22.6256i 0.0227577 0.0394175i
\(575\) 133.637 140.155i 0.232413 0.243747i
\(576\) −0.784537 33.2267i −0.00136204 0.0576852i
\(577\) 102.597 + 296.434i 0.177811 + 0.513751i 0.998324 0.0578773i \(-0.0184332\pi\)
−0.820513 + 0.571628i \(0.806312\pi\)
\(578\) 14.8122 50.4458i 0.0256267 0.0872764i
\(579\) 353.369 361.811i 0.610309 0.624890i
\(580\) −547.772 282.396i −0.944434 0.486889i
\(581\) 105.030 163.429i 0.180774 0.281290i
\(582\) 97.0632 205.964i 0.166775 0.353890i
\(583\) −48.1028 1009.80i −0.0825092 1.73208i
\(584\) 123.738 + 88.1135i 0.211880 + 0.150879i
\(585\) 592.316 + 287.871i 1.01251 + 0.492086i
\(586\) −210.019 40.4779i −0.358395 0.0690750i
\(587\) −80.9862 202.294i −0.137966 0.344623i 0.843253 0.537516i \(-0.180637\pi\)
−0.981220 + 0.192893i \(0.938213\pi\)
\(588\) 172.091 + 445.271i 0.292672 + 0.757264i
\(589\) 113.185 + 130.623i 0.192165 + 0.221771i
\(590\) −370.606 + 89.9082i −0.628147 + 0.152387i
\(591\) −11.5190 13.6204i −0.0194907 0.0230463i
\(592\) 394.781 + 310.459i 0.666860 + 0.524425i
\(593\) −121.806 5.80232i −0.205406 0.00978468i −0.0553731 0.998466i \(-0.517635\pi\)
−0.150033 + 0.988681i \(0.547938\pi\)
\(594\) 261.650 376.616i 0.440489 0.634033i
\(595\) 963.401 282.880i 1.61916 0.475429i
\(596\) −87.4431 + 62.2680i −0.146717 + 0.104476i
\(597\) −586.010 + 406.790i −0.981592 + 0.681391i
\(598\) 12.6950 88.2960i 0.0212292 0.147652i
\(599\) 72.6190 + 376.783i 0.121234 + 0.629021i 0.990814 + 0.135229i \(0.0431771\pi\)
−0.869581 + 0.493791i \(0.835611\pi\)
\(600\) −185.674 330.696i −0.309457 0.551160i
\(601\) −396.529 + 37.8640i −0.659783 + 0.0630016i −0.419576 0.907720i \(-0.637821\pi\)
−0.240207 + 0.970722i \(0.577215\pi\)
\(602\) 184.584i 0.306617i
\(603\) −94.5868 + 595.535i −0.156860 + 0.987621i
\(604\) −411.869 −0.681902
\(605\) −172.866 1810.33i −0.285729 2.99228i
\(606\) −129.698 + 72.8210i −0.214024 + 0.120167i
\(607\) −861.689 + 166.077i −1.41959 + 0.273603i −0.840566 0.541709i \(-0.817777\pi\)
−0.579021 + 0.815312i \(0.696565\pi\)
\(608\) 575.753 + 82.7808i 0.946963 + 0.136153i
\(609\) 474.860 + 684.069i 0.779737 + 1.12327i
\(610\) −325.119 456.565i −0.532981 0.748468i
\(611\) 253.709 + 864.053i 0.415235 + 1.41416i
\(612\) 378.371 + 230.729i 0.618253 + 0.377009i
\(613\) 28.1907 591.795i 0.0459880 0.965407i −0.851496 0.524361i \(-0.824304\pi\)
0.897484 0.441047i \(-0.145393\pi\)
\(614\) 114.333 145.387i 0.186211 0.236786i
\(615\) −47.4275 + 40.1102i −0.0771178 + 0.0652198i
\(616\) −287.559 1185.33i −0.466817 1.92424i
\(617\) −490.711 + 425.203i −0.795317 + 0.689146i −0.954535 0.298097i \(-0.903648\pi\)
0.159219 + 0.987243i \(0.449103\pi\)
\(618\) 150.710 58.2473i 0.243867 0.0942513i
\(619\) 232.779 93.1908i 0.376057 0.150551i −0.175931 0.984402i \(-0.556294\pi\)
0.551988 + 0.833852i \(0.313869\pi\)
\(620\) 38.9525 202.105i 0.0628266 0.325975i
\(621\) −224.852 126.361i −0.362081 0.203479i
\(622\) −180.980 + 254.151i −0.290965 + 0.408604i
\(623\) 1630.65 77.6774i 2.61741 0.124683i
\(624\) 227.141 + 107.043i 0.364009 + 0.171544i
\(625\) −606.413 389.718i −0.970261 0.623549i
\(626\) −24.8552 + 48.2123i −0.0397047 + 0.0770164i
\(627\) −782.633 764.372i −1.24822 1.21909i
\(628\) −21.0168 6.17110i −0.0334663 0.00982659i
\(629\) −930.677 + 322.110i −1.47961 + 0.512099i
\(630\) 12.1361 + 513.986i 0.0192636 + 0.815851i
\(631\) 76.3487 + 72.7983i 0.120996 + 0.115370i 0.748162 0.663516i \(-0.230937\pi\)
−0.627166 + 0.778886i \(0.715785\pi\)
\(632\) 205.111 + 118.421i 0.324542 + 0.187375i
\(633\) −171.078 341.853i −0.270265 0.540052i
\(634\) 103.554 426.856i 0.163335 0.673275i
\(635\) −294.255 570.776i −0.463394 0.898859i
\(636\) −77.1279 + 494.269i −0.121270 + 0.777153i
\(637\) −527.985 50.4165i −0.828863 0.0791468i
\(638\) −218.483 423.798i −0.342450 0.664260i
\(639\) −897.310 334.876i −1.40424 0.524063i
\(640\) −435.270 753.910i −0.680110 1.17798i
\(641\) −728.870 420.813i −1.13708 0.656495i −0.191376 0.981517i \(-0.561295\pi\)
−0.945706 + 0.325022i \(0.894628\pi\)
\(642\) 195.263 + 209.768i 0.304148 + 0.326741i
\(643\) 18.6066 + 129.412i 0.0289372 + 0.201263i 0.999161 0.0409462i \(-0.0130372\pi\)
−0.970224 + 0.242209i \(0.922128\pi\)
\(644\) −291.237 + 100.798i −0.452232 + 0.156519i
\(645\) 148.498 412.961i 0.230229 0.640249i
\(646\) −156.441 + 180.543i −0.242169 + 0.279478i
\(647\) −28.4635 + 55.2115i −0.0439930 + 0.0853346i −0.909807 0.415031i \(-0.863771\pi\)
0.865814 + 0.500366i \(0.166801\pi\)
\(648\) −365.709 + 348.434i −0.564366 + 0.537707i
\(649\) 1212.18 + 485.284i 1.86777 + 0.747741i
\(650\) 189.086 9.00728i 0.290902 0.0138573i
\(651\) −174.529 + 216.535i −0.268094 + 0.332618i
\(652\) 72.3121 208.932i 0.110908 0.320448i
\(653\) −4.20238 + 21.8040i −0.00643549 + 0.0333905i −0.985005 0.172529i \(-0.944806\pi\)
0.978569 + 0.205919i \(0.0660184\pi\)
\(654\) −11.5165 34.6128i −0.0176094 0.0529247i
\(655\) 381.626 + 835.644i 0.582635 + 1.27579i
\(656\) −17.8986 + 15.5092i −0.0272844 + 0.0236421i
\(657\) 25.9850 + 217.686i 0.0395509 + 0.331333i
\(658\) −508.805 + 485.145i −0.773260 + 0.737302i
\(659\) −14.9081 + 18.9572i −0.0226223 + 0.0287666i −0.797233 0.603672i \(-0.793704\pi\)
0.774610 + 0.632439i \(0.217946\pi\)
\(660\) −139.383 + 1295.27i −0.211186 + 1.96254i
\(661\) 202.634 443.706i 0.306557 0.671266i −0.692169 0.721736i \(-0.743345\pi\)
0.998726 + 0.0504701i \(0.0160719\pi\)
\(662\) 16.9524 + 57.7346i 0.0256079 + 0.0872125i
\(663\) −417.389 + 261.218i −0.629546 + 0.393994i
\(664\) 96.3086 75.7379i 0.145043 0.114063i
\(665\) 1213.99 + 174.546i 1.82555 + 0.262475i
\(666\) −35.8782 503.005i −0.0538712 0.755263i
\(667\) −225.600 + 144.984i −0.338231 + 0.217368i
\(668\) 45.9465 + 481.173i 0.0687821 + 0.720319i
\(669\) 282.847 + 16.8766i 0.422791 + 0.0252266i
\(670\) 129.992 + 364.602i 0.194017 + 0.544181i
\(671\) 1919.06i 2.85999i
\(672\) 33.3168 + 935.376i 0.0495786 + 1.39193i
\(673\) 643.647 413.647i 0.956385 0.614631i 0.0333894 0.999442i \(-0.489370\pi\)
0.922995 + 0.384811i \(0.125733\pi\)
\(674\) −0.602305 3.12505i −0.000893627 0.00463658i
\(675\) 173.002 519.286i 0.256299 0.769313i
\(676\) 130.101 102.313i 0.192457 0.151350i
\(677\) −419.864 + 298.984i −0.620183 + 0.441630i −0.846474 0.532429i \(-0.821279\pi\)
0.226291 + 0.974060i \(0.427340\pi\)
\(678\) −174.705 + 40.1702i −0.257677 + 0.0592481i
\(679\) 363.072 795.018i 0.534716 1.17087i
\(680\) 632.533 + 30.1312i 0.930195 + 0.0443106i
\(681\) 483.676 544.846i 0.710244 0.800068i
\(682\) 115.248 109.889i 0.168986 0.161128i
\(683\) −602.033 + 146.052i −0.881454 + 0.213838i −0.650847 0.759209i \(-0.725586\pi\)
−0.230607 + 0.973047i \(0.574071\pi\)
\(684\) 303.336 + 448.364i 0.443474 + 0.655504i
\(685\) −46.3653 101.526i −0.0676865 0.148213i
\(686\) 0.726039 + 1.81356i 0.00105837 + 0.00264367i
\(687\) 160.720 + 41.0379i 0.233945 + 0.0597349i
\(688\) 54.7270 158.123i 0.0795450 0.229830i
\(689\) −452.749 322.401i −0.657110 0.467926i
\(690\) −165.557 1.98617i −0.239938 0.00287851i
\(691\) −357.563 143.147i −0.517457 0.207159i 0.0982087 0.995166i \(-0.468689\pi\)
−0.615666 + 0.788007i \(0.711113\pi\)
\(692\) 205.257 319.386i 0.296614 0.461540i
\(693\) 986.948 1457.61i 1.42417 2.10333i
\(694\) 175.377 202.395i 0.252704 0.291636i
\(695\) 13.3531 45.4764i 0.0192130 0.0654336i
\(696\) 141.907 + 505.653i 0.203889 + 0.726513i
\(697\) −6.60926 45.9684i −0.00948244 0.0659518i
\(698\) −124.890 + 130.981i −0.178926 + 0.187652i
\(699\) −268.772 177.321i −0.384509 0.253678i
\(700\) −327.004 566.387i −0.467148 0.809124i
\(701\) 1077.14 + 261.310i 1.53657 + 0.372768i 0.912657 0.408726i \(-0.134027\pi\)
0.623913 + 0.781494i \(0.285542\pi\)
\(702\) −73.8360 241.072i −0.105180 0.343407i
\(703\) −1197.54 114.351i −1.70347 0.162662i
\(704\) −6.94366 + 72.7173i −0.00986316 + 0.103292i
\(705\) 1528.63 676.057i 2.16826 0.958947i
\(706\) 30.7492 126.750i 0.0435541 0.179532i
\(707\) −494.467 + 285.480i −0.699387 + 0.403791i
\(708\) −539.313 355.808i −0.761741 0.502554i
\(709\) −480.056 457.732i −0.677089 0.645603i 0.271380 0.962472i \(-0.412520\pi\)
−0.948469 + 0.316869i \(0.897368\pi\)
\(710\) −608.554 + 87.4969i −0.857119 + 0.123235i
\(711\) 72.5931 + 334.015i 0.102100 + 0.469782i
\(712\) 987.880 + 290.068i 1.38747 + 0.407399i
\(713\) −67.6875 58.6515i −0.0949333 0.0822602i
\(714\) −330.571 196.180i −0.462984 0.274762i
\(715\) −1217.66 782.544i −1.70302 1.09447i
\(716\) 164.939 411.999i 0.230362 0.575417i
\(717\) 464.972 + 5.57821i 0.648497 + 0.00777994i
\(718\) 291.197 408.929i 0.405567 0.569540i
\(719\) −257.416 89.0926i −0.358020 0.123912i 0.142136 0.989847i \(-0.454603\pi\)
−0.500156 + 0.865935i \(0.666724\pi\)
\(720\) 141.995 443.904i 0.197215 0.616533i
\(721\) 575.786 230.510i 0.798594 0.319709i
\(722\) 16.5213 7.54503i 0.0228827 0.0104502i
\(723\) 406.792 + 530.247i 0.562644 + 0.733398i
\(724\) −33.1490 136.642i −0.0457860 0.188732i
\(725\) −392.716 411.868i −0.541677 0.568094i
\(726\) −462.208 + 520.662i −0.636650 + 0.717166i
\(727\) 60.9482 1279.46i 0.0838352 1.75992i −0.430744 0.902474i \(-0.641749\pi\)
0.514579 0.857443i \(-0.327948\pi\)
\(728\) −609.989 278.572i −0.837897 0.382655i
\(729\) −727.112 52.4265i −0.997411 0.0719157i
\(730\) 81.6315 + 114.635i 0.111824 + 0.157035i
\(731\) 202.827 + 257.916i 0.277465 + 0.352826i
\(732\) 190.888 930.229i 0.260776 1.27080i
\(733\) −45.1441 + 8.70081i −0.0615881 + 0.0118701i −0.219952 0.975511i \(-0.570590\pi\)
0.158364 + 0.987381i \(0.449378\pi\)
\(734\) −40.5477 63.0934i −0.0552421 0.0859584i
\(735\) 35.0421 + 983.814i 0.0476764 + 1.33852i
\(736\) −301.417 −0.409535
\(737\) 361.566 1275.04i 0.490591 1.73004i
\(738\) 23.6112 + 2.82768i 0.0319935 + 0.00383154i
\(739\) 500.974 47.8372i 0.677908 0.0647324i 0.249578 0.968355i \(-0.419708\pi\)
0.428330 + 0.903622i \(0.359102\pi\)
\(740\) 774.506 + 1205.16i 1.04663 + 1.62859i
\(741\) −596.318 + 78.4484i −0.804748 + 0.105868i
\(742\) 61.7519 429.494i 0.0832235 0.578832i
\(743\) 305.945 + 389.041i 0.411770 + 0.523608i 0.947058 0.321061i \(-0.104040\pi\)
−0.535289 + 0.844669i \(0.679797\pi\)
\(744\) −148.684 + 93.0523i −0.199844 + 0.125070i
\(745\) −212.407 + 62.3684i −0.285111 + 0.0837160i
\(746\) −170.157 77.7080i −0.228092 0.104166i
\(747\) 174.371 + 29.3564i 0.233428 + 0.0392991i
\(748\) −765.640 602.106i −1.02358 0.804955i
\(749\) 759.135 + 796.158i 1.01353 + 1.06296i
\(750\) 14.5417 + 80.6438i 0.0193890 + 0.107525i
\(751\) 596.902 + 688.862i 0.794810 + 0.917260i 0.998085 0.0618620i \(-0.0197039\pi\)
−0.203275 + 0.979122i \(0.565158\pi\)
\(752\) 579.707 264.743i 0.770887 0.352052i
\(753\) −172.029 517.031i −0.228458 0.686628i
\(754\) −257.404 49.6105i −0.341384 0.0657964i
\(755\) −802.647 277.799i −1.06311 0.367946i
\(756\) −623.394 + 608.379i −0.824595 + 0.804734i
\(757\) −54.0374 1134.38i −0.0713836 1.49853i −0.696253 0.717796i \(-0.745151\pi\)
0.624869 0.780729i \(-0.285152\pi\)
\(758\) −148.042 + 369.790i −0.195305 + 0.487850i
\(759\) 457.794 + 334.342i 0.603154 + 0.440503i
\(760\) 687.529 + 354.446i 0.904643 + 0.466376i
\(761\) −743.155 643.948i −0.976551 0.846186i 0.0115593 0.999933i \(-0.496320\pi\)
−0.988110 + 0.153747i \(0.950866\pi\)
\(762\) −83.1894 + 231.343i −0.109172 + 0.303600i
\(763\) −45.7976 132.324i −0.0600231 0.173425i
\(764\) −610.709 + 87.8067i −0.799357 + 0.114930i
\(765\) 581.744 + 704.849i 0.760450 + 0.921371i
\(766\) 210.409 364.438i 0.274685 0.475768i
\(767\) 621.692 358.934i 0.810550 0.467971i
\(768\) −84.7307 + 276.262i −0.110326 + 0.359717i
\(769\) 1025.46 528.663i 1.33350 0.687468i 0.363736 0.931502i \(-0.381501\pi\)
0.969767 + 0.244034i \(0.0784709\pi\)
\(770\) 107.412 1124.87i 0.139496 1.46087i
\(771\) 190.236 1219.11i 0.246739 1.58121i
\(772\) 488.891 252.041i 0.633279 0.326478i
\(773\) 51.4613 + 12.4844i 0.0665735 + 0.0161506i 0.268907 0.963166i \(-0.413337\pi\)
−0.202334 + 0.979317i \(0.564853\pi\)
\(774\) −154.457 + 66.1071i −0.199557 + 0.0854097i
\(775\) 95.0316 164.599i 0.122621 0.212386i
\(776\) 380.382 398.933i 0.490183 0.514089i
\(777\) −160.873 1929.03i −0.207044 2.48266i
\(778\) −98.4305 284.396i −0.126517 0.365548i
\(779\) 15.9821 54.4301i 0.0205162 0.0698718i
\(780\) 512.401 + 500.445i 0.656925 + 0.641597i
\(781\) 1871.03 + 964.582i 2.39568 + 1.23506i
\(782\) 66.9267 104.140i 0.0855840 0.133171i
\(783\) −402.352 + 642.350i −0.513859 + 0.820370i
\(784\) 17.8599 + 374.926i 0.0227805 + 0.478221i
\(785\) −36.7952 26.2017i −0.0468728 0.0333780i
\(786\) 134.622 324.917i 0.171274 0.413380i
\(787\) −209.766 40.4292i −0.266539 0.0513712i 0.0542305 0.998528i \(-0.482729\pi\)
−0.320770 + 0.947157i \(0.603942\pi\)
\(788\) −7.21042 18.0107i −0.00915027 0.0228563i
\(789\) −629.963 + 243.472i −0.798432 + 0.308583i
\(790\) 143.689 + 165.825i 0.181884 + 0.209906i
\(791\) −668.720 + 162.230i −0.845411 + 0.205094i
\(792\) 888.884 665.143i 1.12233 0.839827i
\(793\) 829.348 + 652.206i 1.04584 + 0.822454i
\(794\) 653.365 + 31.1236i 0.822878 + 0.0391985i
\(795\) −483.683 + 911.207i −0.608406 + 1.14617i
\(796\) −744.411 + 218.579i −0.935189 + 0.274596i
\(797\) 760.464 541.524i 0.954158 0.679453i 0.00691768 0.999976i \(-0.497798\pi\)
0.947241 + 0.320523i \(0.103859\pi\)
\(798\) −267.756 385.721i −0.335533 0.483359i
\(799\) −177.850 + 1236.98i −0.222591 + 1.54816i
\(800\) −121.053 628.081i −0.151316 0.785102i
\(801\) 649.003 + 1336.68i 0.810241 + 1.66877i
\(802\) −422.179 + 40.3132i −0.526408 + 0.0502659i
\(803\) 481.841i 0.600051i
\(804\) −302.091 + 582.089i −0.375735 + 0.723991i
\(805\) −635.548 −0.789501
\(806\) −8.32210 87.1529i −0.0103252 0.108130i
\(807\) 604.370 + 1076.42i 0.748910 + 1.33385i
\(808\) −353.587 + 68.1483i −0.437608 + 0.0843420i
\(809\) 1207.82 + 173.658i 1.49298 + 0.214658i 0.839945 0.542672i \(-0.182587\pi\)
0.653033 + 0.757330i \(0.273496\pi\)
\(810\) −425.750 + 194.235i −0.525617 + 0.239797i
\(811\) −470.061 660.108i −0.579606 0.813943i 0.415823 0.909446i \(-0.363494\pi\)
−0.995429 + 0.0955023i \(0.969554\pi\)
\(812\) 255.154 + 868.975i 0.314229 + 1.07017i
\(813\) 266.586 502.220i 0.327905 0.617737i
\(814\) −52.7372 + 1107.09i −0.0647878 + 1.36006i
\(815\) 281.843 358.392i 0.345819 0.439745i
\(816\) 225.018 + 266.068i 0.275757 + 0.326063i
\(817\) 94.4905 + 389.495i 0.115655 + 0.476738i
\(818\) −338.087 + 292.954i −0.413309 + 0.358134i
\(819\) −294.505 921.903i −0.359591 1.12565i
\(820\) −62.7151 + 25.1074i −0.0764819 + 0.0306187i
\(821\) 63.3916 328.907i 0.0772127 0.400617i −0.922674 0.385580i \(-0.874001\pi\)
0.999887 0.0150371i \(-0.00478664\pi\)
\(822\) −16.3557 + 39.4754i −0.0198975 + 0.0480236i
\(823\) −742.183 + 1042.25i −0.901802 + 1.26640i 0.0615340 + 0.998105i \(0.480401\pi\)
−0.963336 + 0.268299i \(0.913539\pi\)
\(824\) 390.714 18.6120i 0.474167 0.0225874i
\(825\) −512.833 + 1088.21i −0.621615 + 1.31904i
\(826\) 471.460 + 302.989i 0.570775 + 0.366815i
\(827\) −303.244 + 588.211i −0.366680 + 0.711259i −0.997929 0.0643206i \(-0.979512\pi\)
0.631250 + 0.775580i \(0.282542\pi\)
\(828\) −188.651 207.603i −0.227839 0.250729i
\(829\) −372.276 109.310i −0.449067 0.131858i 0.0493764 0.998780i \(-0.484277\pi\)
−0.498443 + 0.866922i \(0.666095\pi\)
\(830\) 107.266 37.1250i 0.129236 0.0447289i
\(831\) 124.116 + 1488.28i 0.149358 + 1.79095i
\(832\) 29.0660 + 27.7144i 0.0349351 + 0.0333105i
\(833\) −637.426 368.018i −0.765218 0.441799i
\(834\) −16.2267 + 8.12055i −0.0194565 + 0.00973687i
\(835\) −235.003 + 968.697i −0.281441 + 1.16012i
\(836\) −545.190 1057.52i −0.652141 1.26498i
\(837\) −243.699 68.4933i −0.291158 0.0818319i
\(838\) −472.833 45.1501i −0.564240 0.0538784i
\(839\) 196.728 + 381.598i 0.234479 + 0.454825i 0.976490 0.215562i \(-0.0691584\pi\)
−0.742012 + 0.670387i \(0.766128\pi\)
\(840\) −364.963 + 1189.95i −0.434480 + 1.41661i
\(841\) −26.4669 45.8421i −0.0314708 0.0545090i
\(842\) −79.7291 46.0316i −0.0946901 0.0546694i
\(843\) −168.150 + 156.523i −0.199466 + 0.185673i
\(844\) −59.1673 411.517i −0.0701034 0.487580i
\(845\) 322.548 111.635i 0.381714 0.132113i
\(846\) −588.186 252.010i −0.695256 0.297884i
\(847\) −1750.11 + 2019.74i −2.06625 + 2.38458i
\(848\) −180.240 + 349.616i −0.212547 + 0.412283i
\(849\) −1320.90 964.693i −1.55583 1.13627i
\(850\) 243.881 + 97.6353i 0.286919 + 0.114865i
\(851\) 622.670 29.6614i 0.731692 0.0348548i
\(852\) −811.001 653.675i −0.951879 0.767224i
\(853\) −282.420 + 815.998i −0.331090 + 0.956621i 0.649468 + 0.760389i \(0.274992\pi\)
−0.980557 + 0.196232i \(0.937129\pi\)
\(854\) −155.883 + 808.795i −0.182532 + 0.947067i
\(855\) 288.724 + 1078.37i 0.337689 + 1.26125i
\(856\) 288.212 + 631.096i 0.336696 + 0.737262i
\(857\) −790.697 + 685.143i −0.922634 + 0.799467i −0.980023 0.198885i \(-0.936268\pi\)
0.0573889 + 0.998352i \(0.481723\pi\)
\(858\) 98.3366 + 545.344i 0.114611 + 0.635599i
\(859\) 146.161 139.364i 0.170153 0.162240i −0.600218 0.799836i \(-0.704920\pi\)
0.770371 + 0.637596i \(0.220071\pi\)
\(860\) 295.036 375.169i 0.343065 0.436243i
\(861\) 90.7568 + 9.76621i 0.105409 + 0.0113429i
\(862\) −7.88302 + 17.2614i −0.00914504 + 0.0200248i
\(863\) 283.718 + 966.255i 0.328758 + 1.11965i 0.943625 + 0.331016i \(0.107391\pi\)
−0.614867 + 0.788631i \(0.710790\pi\)
\(864\) −770.777 + 362.876i −0.892103 + 0.419996i
\(865\) 615.424 483.975i 0.711473 0.559508i
\(866\) −52.8151 7.59367i −0.0609874 0.00876867i
\(867\) 182.123 23.9592i 0.210062 0.0276346i
\(868\) −254.455 + 163.528i −0.293151 + 0.188397i
\(869\) −71.4117 747.857i −0.0821768 0.860595i
\(870\) −28.9795 + 485.689i −0.0333098 + 0.558263i
\(871\) −428.146 589.588i −0.491557 0.676909i
\(872\) 88.3110i 0.101274i
\(873\) 795.291 + 19.0848i 0.910986 + 0.0218611i
\(874\) 127.207 81.7511i 0.145546 0.0935368i
\(875\) 59.5288 + 308.865i 0.0680329 + 0.352988i
\(876\) −47.9286 + 233.564i −0.0547130 + 0.266626i
\(877\) 234.636 184.520i 0.267544 0.210399i −0.475370 0.879786i \(-0.657686\pi\)
0.742914 + 0.669387i \(0.233443\pi\)
\(878\) 463.825 330.288i 0.528275 0.376183i
\(879\) −167.456 728.285i −0.190507 0.828538i
\(880\) −425.527 + 931.773i −0.483553 + 1.05883i
\(881\) −1367.91 65.1618i −1.55268 0.0739634i −0.746402 0.665495i \(-0.768220\pi\)
−0.806281 + 0.591532i \(0.798523\pi\)
\(882\) 266.548 266.445i 0.302209 0.302092i
\(883\) 817.645 779.623i 0.925985 0.882925i −0.0674033 0.997726i \(-0.521471\pi\)
0.993389 + 0.114801i \(0.0366229\pi\)
\(884\) −520.418 + 126.252i −0.588708 + 0.142819i
\(885\) −811.022 1057.15i −0.916409 1.19453i
\(886\) −45.4801 99.5875i −0.0513319 0.112401i
\(887\) 100.081 + 249.991i 0.112831 + 0.281839i 0.974026 0.226436i \(-0.0727075\pi\)
−0.861195 + 0.508275i \(0.830283\pi\)
\(888\) 302.032 1182.87i 0.340126 1.33206i
\(889\) −308.652 + 891.792i −0.347190 + 1.00314i
\(890\) 776.979 + 553.284i 0.873010 + 0.621668i
\(891\) 1573.17 + 303.833i 1.76563 + 0.341002i
\(892\) 286.091 + 114.533i 0.320730 + 0.128401i
\(893\) −825.293 + 1284.18i −0.924180 + 1.43805i
\(894\) 72.8831 + 43.2530i 0.0815247 + 0.0483815i
\(895\) 599.320 691.652i 0.669631 0.772795i
\(896\) −360.424 + 1227.49i −0.402259 + 1.36997i
\(897\) 300.076 84.2135i 0.334532 0.0938835i
\(898\) 8.44429 + 58.7313i 0.00940344 + 0.0654024i
\(899\) −181.627 + 190.485i −0.202032 + 0.211885i
\(900\) 356.831 476.479i 0.396478 0.529421i
\(901\) −385.658 667.979i −0.428033 0.741375i
\(902\) −50.7918 12.3220i −0.0563102 0.0136607i
\(903\) −589.806 + 260.851i −0.653163 + 0.288871i
\(904\) −432.017 41.2526i −0.477895 0.0456335i
\(905\) 27.5623 288.646i 0.0304556 0.318946i
\(906\) 131.523 + 297.385i 0.145169 + 0.328239i
\(907\) −43.5795 + 179.637i −0.0480479 + 0.198056i −0.990777 0.135504i \(-0.956735\pi\)
0.942729 + 0.333560i \(0.108250\pi\)
\(908\) 686.209 396.183i 0.755737 0.436325i
\(909\) −415.975 311.520i −0.457618 0.342706i
\(910\) −449.625 428.716i −0.494093 0.471117i
\(911\) −1710.81 + 245.977i −1.87794 + 0.270007i −0.983999 0.178171i \(-0.942982\pi\)
−0.893944 + 0.448179i \(0.852073\pi\)
\(912\) 115.010 + 409.813i 0.126108 + 0.449357i
\(913\) −372.895 109.492i −0.408428 0.119925i
\(914\) 408.442 + 353.917i 0.446873 + 0.387218i
\(915\) 999.426 1684.07i 1.09227 1.84052i
\(916\) 151.765 + 97.5337i 0.165683 + 0.106478i
\(917\) 501.755 1253.32i 0.547170 1.36677i
\(918\) 45.7692 346.877i 0.0498575 0.377862i
\(919\) −532.881 + 748.326i −0.579849 + 0.814283i −0.995452 0.0952624i \(-0.969631\pi\)
0.415604 + 0.909546i \(0.363570\pi\)
\(920\) −378.783 131.098i −0.411721 0.142498i
\(921\) 626.133 + 159.875i 0.679841 + 0.173589i
\(922\) −236.766 + 94.7868i −0.256796 + 0.102806i
\(923\) 1052.74 480.771i 1.14056 0.520878i
\(924\) 1518.97 1165.31i 1.64390 1.26116i
\(925\) 311.879 + 1285.58i 0.337166 + 1.38982i
\(926\) 281.740 + 295.480i 0.304254 + 0.319093i
\(927\) 399.100 + 399.254i 0.430529 + 0.430695i
\(928\) −42.1464 + 884.763i −0.0454164 + 0.953408i
\(929\) −1627.14 743.088i −1.75149 0.799880i −0.988075 0.153974i \(-0.950793\pi\)
−0.763417 0.645906i \(-0.776480\pi\)
\(930\) −158.366 + 36.4133i −0.170286 + 0.0391540i
\(931\) −521.512 732.361i −0.560163 0.786640i
\(932\) −216.476 275.272i −0.232271 0.295356i
\(933\) −1067.86 219.130i −1.14454 0.234866i
\(934\) −335.399 + 64.6428i −0.359099 + 0.0692107i
\(935\) −1085.96 1689.79i −1.16146 1.80726i
\(936\) 14.6431 610.198i 0.0156443 0.651921i
\(937\) 173.461 0.185124 0.0925619 0.995707i \(-0.470494\pi\)
0.0925619 + 0.995707i \(0.470494\pi\)
\(938\) 255.953 508.002i 0.272871 0.541580i
\(939\) −189.179 11.2877i −0.201469 0.0120210i
\(940\) 1809.60 172.796i 1.92511 0.183826i
\(941\) 429.546 + 668.386i 0.456478 + 0.710294i 0.990852 0.134955i \(-0.0430889\pi\)
−0.534374 + 0.845248i \(0.679452\pi\)
\(942\) 2.25558 + 17.1456i 0.00239445 + 0.0182012i
\(943\) −4.18347 + 29.0967i −0.00443634 + 0.0308554i
\(944\) −314.043 399.338i −0.332673 0.423028i
\(945\) −1625.21 + 765.136i −1.71980 + 0.809668i
\(946\) 354.304 104.033i 0.374529 0.109972i
\(947\) 1548.91 + 707.362i 1.63559 + 0.746950i 0.999692 0.0248206i \(-0.00790146\pi\)
0.635901 + 0.771771i \(0.280629\pi\)
\(948\) −39.7736 + 369.614i −0.0419553 + 0.389888i
\(949\) −208.234 163.757i −0.219425 0.172558i
\(950\) 221.438 + 232.237i 0.233092 + 0.244460i
\(951\) 1510.29 272.336i 1.58811 0.286368i
\(952\) −609.413 703.300i −0.640139 0.738760i
\(953\) 401.016 183.138i 0.420793 0.192170i −0.193754 0.981050i \(-0.562066\pi\)
0.614547 + 0.788881i \(0.289339\pi\)
\(954\) 381.510 102.147i 0.399906 0.107072i
\(955\) −1249.37 240.796i −1.30824 0.252143i
\(956\) 477.915 + 165.408i 0.499911 + 0.173021i
\(957\) 1045.42 1297.03i 1.09239 1.35531i
\(958\) −0.119106 2.50035i −0.000124328 0.00260996i
\(959\) −60.9602 + 152.271i −0.0635664 + 0.158781i
\(960\) 43.9639 60.1971i 0.0457958 0.0627053i
\(961\) 776.040 + 400.077i 0.807534 + 0.416313i
\(962\) 460.522 + 399.045i 0.478713 + 0.414807i
\(963\) −394.335 + 920.371i −0.409486 + 0.955733i
\(964\) 237.727 + 686.866i 0.246604 + 0.712516i
\(965\) 1122.75 161.426i 1.16347 0.167281i
\(966\) 165.781 + 178.096i 0.171616 + 0.184364i
\(967\) −248.602 + 430.590i −0.257085 + 0.445285i −0.965460 0.260552i \(-0.916095\pi\)
0.708374 + 0.705837i \(0.249429\pi\)
\(968\) −1459.68 + 842.746i −1.50793 + 0.870605i
\(969\) −797.974 244.742i −0.823502 0.252571i
\(970\) 453.897 234.000i 0.467935 0.241237i
\(971\) 102.633 1074.82i 0.105698 1.10692i −0.774584 0.632471i \(-0.782041\pi\)
0.880282 0.474451i \(-0.157353\pi\)
\(972\) −732.346 303.761i −0.753443 0.312511i
\(973\) −61.9089 + 31.9162i −0.0636268 + 0.0328019i
\(974\) 201.161 + 48.8011i 0.206531 + 0.0501038i
\(975\) 295.995 + 591.464i 0.303584 + 0.606630i
\(976\) 373.335 646.636i 0.382516 0.662537i
\(977\) −152.522 + 159.961i −0.156113 + 0.163726i −0.797146 0.603787i \(-0.793658\pi\)
0.641033 + 0.767513i \(0.278506\pi\)
\(978\) −173.948 + 14.5066i −0.177861 + 0.0148329i
\(979\) −1068.15 3086.22i −1.09106 3.15242i
\(980\) −301.638 + 1027.28i −0.307794 + 1.04825i
\(981\) 94.3244 85.7134i 0.0961513 0.0873735i
\(982\) 185.219 + 95.4872i 0.188614 + 0.0972375i
\(983\) −65.6293 + 102.121i −0.0667642 + 0.103887i −0.873030 0.487666i \(-0.837849\pi\)
0.806266 + 0.591553i \(0.201485\pi\)
\(984\) 52.0760 + 24.5415i 0.0529228 + 0.0249406i
\(985\) −1.90365 39.9625i −0.00193264 0.0405711i
\(986\) −296.328 211.014i −0.300535 0.214010i
\(987\) −2269.23 940.203i −2.29912 0.952587i
\(988\) −642.310 123.795i −0.650111 0.125299i
\(989\) −77.1894 192.810i −0.0780479 0.194954i
\(990\) 979.746 312.983i 0.989642 0.316144i
\(991\) 1141.23 + 1317.05i 1.15160 + 1.32901i 0.935782 + 0.352578i \(0.114695\pi\)
0.215814 + 0.976435i \(0.430760\pi\)
\(992\) −287.488 + 69.7438i −0.289806 + 0.0703062i
\(993\) −160.525 + 135.758i −0.161656 + 0.136715i
\(994\) 710.202 + 558.509i 0.714489 + 0.561880i
\(995\) −1598.13 76.1283i −1.60616 0.0765109i
\(996\) 169.863 + 90.1660i 0.170545 + 0.0905281i
\(997\) 1250.49 367.176i 1.25425 0.368280i 0.413897 0.910324i \(-0.364167\pi\)
0.840351 + 0.542043i \(0.182349\pi\)
\(998\) 352.726 251.175i 0.353433 0.251679i
\(999\) 1556.57 825.481i 1.55812 0.826307i
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 201.3.o.b.17.18 840
3.2 odd 2 inner 201.3.o.b.17.25 yes 840
67.4 even 33 inner 201.3.o.b.71.25 yes 840
201.71 odd 66 inner 201.3.o.b.71.18 yes 840
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
201.3.o.b.17.18 840 1.1 even 1 trivial
201.3.o.b.17.25 yes 840 3.2 odd 2 inner
201.3.o.b.71.18 yes 840 201.71 odd 66 inner
201.3.o.b.71.25 yes 840 67.4 even 33 inner