Properties

Label 201.3.n.b.13.8
Level $201$
Weight $3$
Character 201.13
Analytic conductor $5.477$
Analytic rank $0$
Dimension $240$
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] = [201,3,Mod(7,201)]
 
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, 23]))
 
N = Newforms(chi, 3, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("201.7");
 
S:= CuspForms(chi, 3);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 201 = 3 \cdot 67 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 201.n (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: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 13.8
Character \(\chi\) \(=\) 201.13
Dual form 201.3.n.b.31.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.774122 + 0.984377i) q^{2} +(-1.30900 - 1.13425i) q^{3} +(0.573304 - 2.36319i) q^{4} +(-3.17987 - 4.94798i) q^{5} +(0.103208 - 2.16660i) q^{6} +(-3.85408 + 9.62704i) q^{7} +(7.32662 - 3.34595i) q^{8} +(0.426945 + 2.96946i) q^{9} +O(q^{10})\) \(q+(0.774122 + 0.984377i) q^{2} +(-1.30900 - 1.13425i) q^{3} +(0.573304 - 2.36319i) q^{4} +(-3.17987 - 4.94798i) q^{5} +(0.103208 - 2.16660i) q^{6} +(-3.85408 + 9.62704i) q^{7} +(7.32662 - 3.34595i) q^{8} +(0.426945 + 2.96946i) q^{9} +(2.40906 - 6.96053i) q^{10} +(-18.9185 + 0.901198i) q^{11} +(-3.43091 + 2.44314i) q^{12} +(-1.50548 - 15.7661i) q^{13} +(-12.4602 + 3.65863i) q^{14} +(-1.44981 + 10.0837i) q^{15} +(0.319719 + 0.164827i) q^{16} +(-2.92808 - 12.0697i) q^{17} +(-2.59256 + 2.71900i) q^{18} +(-32.6822 + 13.0840i) q^{19} +(-13.5160 + 4.67795i) q^{20} +(15.9645 - 8.23026i) q^{21} +(-15.5323 - 17.9253i) q^{22} +(23.9924 + 4.62415i) q^{23} +(-13.3857 - 3.93039i) q^{24} +(-3.98553 + 8.72709i) q^{25} +(14.3544 - 13.6868i) q^{26} +(2.80925 - 4.37128i) q^{27} +(20.5410 + 14.6272i) q^{28} +(26.6148 - 46.0982i) q^{29} +(-11.0485 + 6.37883i) q^{30} +(-2.04871 + 21.4550i) q^{31} +(-6.01203 - 31.1934i) q^{32} +(25.7864 + 20.2787i) q^{33} +(9.61444 - 12.2258i) q^{34} +(59.8899 - 11.5428i) q^{35} +(7.26218 + 0.693454i) q^{36} +(6.85823 + 11.8788i) q^{37} +(-38.1796 - 22.0430i) q^{38} +(-15.9121 + 22.3454i) q^{39} +(-39.8534 - 25.6122i) q^{40} +(-6.66911 - 6.99436i) q^{41} +(20.4601 + 9.34383i) q^{42} +(-0.121864 + 0.415032i) q^{43} +(-8.71633 + 45.2246i) q^{44} +(13.3352 - 11.5550i) q^{45} +(14.0211 + 27.1972i) q^{46} +(-7.71877 - 22.3019i) q^{47} +(-0.231556 - 0.578399i) q^{48} +(-42.3629 - 40.3929i) q^{49} +(-11.6760 + 2.83257i) q^{50} +(-9.85724 + 19.1204i) q^{51} +(-38.1214 - 5.48103i) q^{52} +(15.8666 + 54.0365i) q^{53} +(6.47769 - 0.618545i) q^{54} +(64.6175 + 90.7425i) q^{55} +(3.97422 + 83.4292i) q^{56} +(57.6214 + 19.9430i) q^{57} +(65.9811 - 9.48665i) q^{58} +(-26.4686 - 57.9582i) q^{59} +(22.9984 + 9.20719i) q^{60} +(63.1174 + 3.00665i) q^{61} +(-22.7058 + 14.5921i) q^{62} +(-30.2326 - 7.33435i) q^{63} +(26.9942 - 31.1530i) q^{64} +(-73.2231 + 57.5833i) q^{65} +41.0817i q^{66} +(-0.458723 - 66.9984i) q^{67} -30.2017 q^{68} +(-26.1610 - 33.2664i) q^{69} +(57.7246 + 50.0186i) q^{70} +(17.9494 - 73.9885i) q^{71} +(13.0637 + 20.3276i) q^{72} +(-1.42778 + 29.9728i) q^{73} +(-6.38410 + 15.9467i) q^{74} +(15.1158 - 6.90314i) q^{75} +(12.1831 + 84.7353i) q^{76} +(64.2375 - 185.602i) q^{77} +(-34.3141 + 1.63458i) q^{78} +(2.01834 - 1.43725i) q^{79} +(-0.201107 - 2.10609i) q^{80} +(-8.63544 + 2.53559i) q^{81} +(1.72238 - 11.9794i) q^{82} +(-29.1411 - 15.0233i) q^{83} +(-10.2972 - 42.4455i) q^{84} +(-50.4097 + 52.8682i) q^{85} +(-0.502886 + 0.201325i) q^{86} +(-87.1257 + 30.1545i) q^{87} +(-135.593 + 69.9031i) q^{88} +(-0.441002 - 0.508943i) q^{89} +(21.6976 + 4.18187i) q^{90} +(157.583 + 46.2706i) q^{91} +(24.6826 - 54.0475i) q^{92} +(27.0172 - 25.7608i) q^{93} +(15.9782 - 24.8626i) q^{94} +(168.664 + 120.105i) q^{95} +(-27.5114 + 47.6512i) q^{96} +(-99.8564 + 57.6521i) q^{97} +(6.96780 - 72.9701i) q^{98} +(-10.7532 - 55.7930i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 34 q^{4} - 33 q^{6} - 21 q^{7} - 33 q^{8} + 72 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 34 q^{4} - 33 q^{6} - 21 q^{7} - 33 q^{8} + 72 q^{9} + 69 q^{10} - 111 q^{11} - 3 q^{12} - 30 q^{13} - 6 q^{14} - 27 q^{15} + 98 q^{16} - 4 q^{17} + 16 q^{19} - 108 q^{20} + 21 q^{21} + 27 q^{22} + 178 q^{23} + 36 q^{24} + 222 q^{25} - 29 q^{26} - 112 q^{28} - 77 q^{29} + 90 q^{30} + 137 q^{31} + 44 q^{32} + 12 q^{33} - 72 q^{34} - 237 q^{35} + 3 q^{36} + 132 q^{37} + 210 q^{38} - 30 q^{39} + 749 q^{40} - 150 q^{41} - 132 q^{42} - 385 q^{43} + 9 q^{44} - 443 q^{46} - 166 q^{47} - 294 q^{48} - 295 q^{49} - 6 q^{50} + 276 q^{51} - 1804 q^{52} + 176 q^{53} + 199 q^{55} - 1361 q^{56} - 114 q^{57} + 968 q^{58} - 214 q^{59} - 420 q^{60} - 274 q^{61} + 334 q^{62} - 102 q^{63} + 683 q^{64} - 224 q^{65} + 47 q^{67} + 870 q^{68} + 27 q^{69} - 44 q^{70} + 271 q^{71} + 264 q^{72} + 594 q^{73} - 1289 q^{74} + 396 q^{75} + 494 q^{76} + 1360 q^{77} + 441 q^{78} + 1023 q^{79} + 15 q^{80} - 216 q^{81} - 316 q^{82} - 225 q^{83} + 1527 q^{84} - 153 q^{85} - 91 q^{86} - 1676 q^{88} + 871 q^{89} - 207 q^{90} - 692 q^{91} - 488 q^{92} - 390 q^{93} + 440 q^{94} - 531 q^{95} - 33 q^{96} + 84 q^{97} + 85 q^{98} + 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(68\) \(136\)
\(\chi(n)\) \(1\) \(e\left(\frac{19}{66}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.774122 + 0.984377i 0.387061 + 0.492188i 0.940067 0.340989i \(-0.110762\pi\)
−0.553006 + 0.833177i \(0.686519\pi\)
\(3\) −1.30900 1.13425i −0.436332 0.378084i
\(4\) 0.573304 2.36319i 0.143326 0.590798i
\(5\) −3.17987 4.94798i −0.635975 0.989596i −0.998342 0.0575605i \(-0.981668\pi\)
0.362367 0.932035i \(-0.381969\pi\)
\(6\) 0.103208 2.16660i 0.0172013 0.361099i
\(7\) −3.85408 + 9.62704i −0.550583 + 1.37529i 0.348416 + 0.937340i \(0.386720\pi\)
−0.898999 + 0.437951i \(0.855704\pi\)
\(8\) 7.32662 3.34595i 0.915827 0.418244i
\(9\) 0.426945 + 2.96946i 0.0474383 + 0.329940i
\(10\) 2.40906 6.96053i 0.240906 0.696053i
\(11\) −18.9185 + 0.901198i −1.71986 + 0.0819271i −0.884139 0.467224i \(-0.845254\pi\)
−0.835723 + 0.549151i \(0.814951\pi\)
\(12\) −3.43091 + 2.44314i −0.285909 + 0.203595i
\(13\) −1.50548 15.7661i −0.115806 1.21278i −0.847370 0.531003i \(-0.821815\pi\)
0.731564 0.681773i \(-0.238791\pi\)
\(14\) −12.4602 + 3.65863i −0.890012 + 0.261331i
\(15\) −1.44981 + 10.0837i −0.0966541 + 0.672244i
\(16\) 0.319719 + 0.164827i 0.0199824 + 0.0103017i
\(17\) −2.92808 12.0697i −0.172240 0.709982i −0.990774 0.135524i \(-0.956728\pi\)
0.818534 0.574458i \(-0.194787\pi\)
\(18\) −2.59256 + 2.71900i −0.144031 + 0.151056i
\(19\) −32.6822 + 13.0840i −1.72012 + 0.688630i −0.999986 0.00520956i \(-0.998342\pi\)
−0.720129 + 0.693840i \(0.755917\pi\)
\(20\) −13.5160 + 4.67795i −0.675802 + 0.233898i
\(21\) 15.9645 8.23026i 0.760213 0.391917i
\(22\) −15.5323 17.9253i −0.706015 0.814785i
\(23\) 23.9924 + 4.62415i 1.04315 + 0.201050i 0.681919 0.731428i \(-0.261146\pi\)
0.361227 + 0.932478i \(0.382358\pi\)
\(24\) −13.3857 3.93039i −0.557736 0.163766i
\(25\) −3.98553 + 8.72709i −0.159421 + 0.349084i
\(26\) 14.3544 13.6868i 0.552090 0.526417i
\(27\) 2.80925 4.37128i 0.104046 0.161899i
\(28\) 20.5410 + 14.6272i 0.733606 + 0.522398i
\(29\) 26.6148 46.0982i 0.917752 1.58959i 0.114931 0.993373i \(-0.463335\pi\)
0.802821 0.596220i \(-0.203331\pi\)
\(30\) −11.0485 + 6.37883i −0.368282 + 0.212628i
\(31\) −2.04871 + 21.4550i −0.0660874 + 0.692098i 0.900345 + 0.435177i \(0.143314\pi\)
−0.966432 + 0.256921i \(0.917292\pi\)
\(32\) −6.01203 31.1934i −0.187876 0.974794i
\(33\) 25.7864 + 20.2787i 0.781406 + 0.614505i
\(34\) 9.61444 12.2258i 0.282778 0.359581i
\(35\) 59.8899 11.5428i 1.71114 0.329795i
\(36\) 7.26218 + 0.693454i 0.201727 + 0.0192626i
\(37\) 6.85823 + 11.8788i 0.185357 + 0.321049i 0.943697 0.330811i \(-0.107322\pi\)
−0.758339 + 0.651860i \(0.773989\pi\)
\(38\) −38.1796 22.0430i −1.00473 0.580079i
\(39\) −15.9121 + 22.3454i −0.408002 + 0.572958i
\(40\) −39.8534 25.6122i −0.996335 0.640306i
\(41\) −6.66911 6.99436i −0.162661 0.170594i 0.637359 0.770567i \(-0.280027\pi\)
−0.800021 + 0.599972i \(0.795178\pi\)
\(42\) 20.4601 + 9.34383i 0.487146 + 0.222472i
\(43\) −0.121864 + 0.415032i −0.00283405 + 0.00965190i −0.960898 0.276903i \(-0.910692\pi\)
0.958064 + 0.286555i \(0.0925101\pi\)
\(44\) −8.71633 + 45.2246i −0.198098 + 1.02783i
\(45\) 13.3352 11.5550i 0.296338 0.256778i
\(46\) 14.0211 + 27.1972i 0.304807 + 0.591243i
\(47\) −7.71877 22.3019i −0.164229 0.474509i 0.832619 0.553847i \(-0.186841\pi\)
−0.996848 + 0.0793377i \(0.974719\pi\)
\(48\) −0.231556 0.578399i −0.00482409 0.0120500i
\(49\) −42.3629 40.3929i −0.864549 0.824346i
\(50\) −11.6760 + 2.83257i −0.233521 + 0.0566515i
\(51\) −9.85724 + 19.1204i −0.193279 + 0.374909i
\(52\) −38.1214 5.48103i −0.733104 0.105404i
\(53\) 15.8666 + 54.0365i 0.299369 + 1.01956i 0.962551 + 0.271099i \(0.0873872\pi\)
−0.663182 + 0.748458i \(0.730795\pi\)
\(54\) 6.47769 0.618545i 0.119957 0.0114545i
\(55\) 64.6175 + 90.7425i 1.17486 + 1.64986i
\(56\) 3.97422 + 83.4292i 0.0709683 + 1.48981i
\(57\) 57.6214 + 19.9430i 1.01090 + 0.349877i
\(58\) 65.9811 9.48665i 1.13761 0.163563i
\(59\) −26.4686 57.9582i −0.448621 0.982343i −0.989935 0.141523i \(-0.954800\pi\)
0.541314 0.840821i \(-0.317927\pi\)
\(60\) 22.9984 + 9.20719i 0.383307 + 0.153453i
\(61\) 63.1174 + 3.00665i 1.03471 + 0.0492893i 0.558058 0.829802i \(-0.311547\pi\)
0.476653 + 0.879092i \(0.341850\pi\)
\(62\) −22.7058 + 14.5921i −0.366222 + 0.235357i
\(63\) −30.2326 7.33435i −0.479883 0.116418i
\(64\) 26.9942 31.1530i 0.421785 0.486766i
\(65\) −73.2231 + 57.5833i −1.12651 + 0.885896i
\(66\) 41.0817i 0.622450i
\(67\) −0.458723 66.9984i −0.00684661 0.999977i
\(68\) −30.2017 −0.444142
\(69\) −26.1610 33.2664i −0.379144 0.482121i
\(70\) 57.7246 + 50.0186i 0.824637 + 0.714552i
\(71\) 17.9494 73.9885i 0.252809 1.04209i −0.693918 0.720054i \(-0.744117\pi\)
0.946727 0.322038i \(-0.104368\pi\)
\(72\) 13.0637 + 20.3276i 0.181441 + 0.282328i
\(73\) −1.42778 + 29.9728i −0.0195586 + 0.410586i 0.967764 + 0.251859i \(0.0810420\pi\)
−0.987323 + 0.158727i \(0.949261\pi\)
\(74\) −6.38410 + 15.9467i −0.0862717 + 0.215496i
\(75\) 15.1158 6.90314i 0.201544 0.0920418i
\(76\) 12.1831 + 84.7353i 0.160304 + 1.11494i
\(77\) 64.2375 185.602i 0.834254 2.41042i
\(78\) −34.3141 + 1.63458i −0.439925 + 0.0209562i
\(79\) 2.01834 1.43725i 0.0255486 0.0181931i −0.567211 0.823572i \(-0.691978\pi\)
0.592760 + 0.805379i \(0.298038\pi\)
\(80\) −0.201107 2.10609i −0.00251384 0.0263261i
\(81\) −8.63544 + 2.53559i −0.106610 + 0.0313036i
\(82\) 1.72238 11.9794i 0.0210046 0.146090i
\(83\) −29.1411 15.0233i −0.351098 0.181004i 0.273651 0.961829i \(-0.411769\pi\)
−0.624749 + 0.780825i \(0.714799\pi\)
\(84\) −10.2972 42.4455i −0.122585 0.505304i
\(85\) −50.4097 + 52.8682i −0.593055 + 0.621979i
\(86\) −0.502886 + 0.201325i −0.00584751 + 0.00234099i
\(87\) −87.1257 + 30.1545i −1.00144 + 0.346603i
\(88\) −135.593 + 69.9031i −1.54083 + 0.794353i
\(89\) −0.441002 0.508943i −0.00495508 0.00571846i 0.753267 0.657715i \(-0.228477\pi\)
−0.758222 + 0.651997i \(0.773932\pi\)
\(90\) 21.6976 + 4.18187i 0.241084 + 0.0464652i
\(91\) 157.583 + 46.2706i 1.73168 + 0.508468i
\(92\) 24.6826 54.0475i 0.268290 0.587472i
\(93\) 27.0172 25.7608i 0.290507 0.276998i
\(94\) 15.9782 24.8626i 0.169981 0.264496i
\(95\) 168.664 + 120.105i 1.77542 + 1.26427i
\(96\) −27.5114 + 47.6512i −0.286578 + 0.496367i
\(97\) −99.8564 + 57.6521i −1.02945 + 0.594352i −0.916826 0.399286i \(-0.869258\pi\)
−0.112621 + 0.993638i \(0.535925\pi\)
\(98\) 6.96780 72.9701i 0.0711000 0.744593i
\(99\) −10.7532 55.7930i −0.108618 0.563566i
\(100\) 18.3389 + 14.4218i 0.183389 + 0.144218i
\(101\) 1.22608 1.55909i 0.0121394 0.0154365i −0.779945 0.625847i \(-0.784753\pi\)
0.792085 + 0.610411i \(0.208996\pi\)
\(102\) −26.4524 + 5.09827i −0.259337 + 0.0499831i
\(103\) −64.0998 6.12079i −0.622328 0.0594251i −0.220871 0.975303i \(-0.570890\pi\)
−0.401457 + 0.915878i \(0.631496\pi\)
\(104\) −63.7827 110.475i −0.613295 1.06226i
\(105\) −91.4881 52.8207i −0.871315 0.503054i
\(106\) −40.9096 + 57.4496i −0.385940 + 0.541977i
\(107\) 34.7386 + 22.3252i 0.324660 + 0.208646i 0.692810 0.721120i \(-0.256372\pi\)
−0.368150 + 0.929766i \(0.620009\pi\)
\(108\) −8.71962 9.14487i −0.0807372 0.0846747i
\(109\) 189.178 + 86.3946i 1.73558 + 0.792611i 0.992334 + 0.123587i \(0.0394399\pi\)
0.743241 + 0.669023i \(0.233287\pi\)
\(110\) −39.3030 + 133.854i −0.357300 + 1.21685i
\(111\) 4.49615 23.3283i 0.0405059 0.210165i
\(112\) −2.81902 + 2.44269i −0.0251698 + 0.0218097i
\(113\) −44.7683 86.8384i −0.396180 0.768482i 0.603401 0.797438i \(-0.293812\pi\)
−0.999581 + 0.0289564i \(0.990782\pi\)
\(114\) 24.9746 + 72.1595i 0.219076 + 0.632978i
\(115\) −53.4125 133.418i −0.464456 1.16016i
\(116\) −93.6805 89.3241i −0.807590 0.770036i
\(117\) 46.1741 11.2017i 0.394650 0.0957412i
\(118\) 36.5628 70.9219i 0.309854 0.601033i
\(119\) 127.480 + 18.3289i 1.07126 + 0.154025i
\(120\) 23.1173 + 78.7302i 0.192644 + 0.656085i
\(121\) 236.645 22.5968i 1.95574 0.186751i
\(122\) 45.9009 + 64.4588i 0.376237 + 0.528351i
\(123\) 0.796474 + 16.7200i 0.00647540 + 0.135935i
\(124\) 49.5278 + 17.1417i 0.399418 + 0.138240i
\(125\) −89.6902 + 12.8955i −0.717522 + 0.103164i
\(126\) −16.1840 35.4380i −0.128444 0.281254i
\(127\) −199.113 79.7127i −1.56782 0.627659i −0.584800 0.811177i \(-0.698827\pi\)
−0.983016 + 0.183518i \(0.941251\pi\)
\(128\) −75.3629 3.58998i −0.588772 0.0280467i
\(129\) 0.630271 0.405050i 0.00488582 0.00313993i
\(130\) −113.367 27.5026i −0.872056 0.211558i
\(131\) 47.6477 54.9884i 0.363723 0.419759i −0.544160 0.838981i \(-0.683152\pi\)
0.907884 + 0.419222i \(0.137697\pi\)
\(132\) 62.7058 49.3124i 0.475044 0.373579i
\(133\) 365.059i 2.74481i
\(134\) 65.5966 52.3165i 0.489527 0.390422i
\(135\) −30.5621 −0.226386
\(136\) −61.8375 78.6328i −0.454688 0.578183i
\(137\) 21.5607 + 18.6825i 0.157378 + 0.136369i 0.729990 0.683458i \(-0.239525\pi\)
−0.572613 + 0.819826i \(0.694070\pi\)
\(138\) 12.4949 51.5045i 0.0905424 0.373221i
\(139\) −1.13367 1.76402i −0.00815588 0.0126908i 0.837152 0.546971i \(-0.184219\pi\)
−0.845308 + 0.534280i \(0.820583\pi\)
\(140\) 7.05719 148.149i 0.0504085 1.05821i
\(141\) −15.1922 + 37.9482i −0.107746 + 0.269136i
\(142\) 86.7276 39.6072i 0.610758 0.278924i
\(143\) 42.6898 + 296.914i 0.298530 + 2.07632i
\(144\) −0.352944 + 1.01977i −0.00245100 + 0.00708171i
\(145\) −312.725 + 14.8969i −2.15672 + 0.102737i
\(146\) −30.6098 + 21.7971i −0.209656 + 0.149295i
\(147\) 9.63712 + 100.924i 0.0655586 + 0.686561i
\(148\) 32.0037 9.39713i 0.216241 0.0634942i
\(149\) −16.0519 + 111.643i −0.107731 + 0.749283i 0.862317 + 0.506369i \(0.169013\pi\)
−0.970048 + 0.242914i \(0.921897\pi\)
\(150\) 18.4967 + 9.53573i 0.123312 + 0.0635715i
\(151\) 52.4028 + 216.007i 0.347039 + 1.43051i 0.831414 + 0.555653i \(0.187532\pi\)
−0.484376 + 0.874860i \(0.660953\pi\)
\(152\) −195.672 + 205.214i −1.28731 + 1.35009i
\(153\) 34.5904 13.8479i 0.226081 0.0905092i
\(154\) 232.430 80.4449i 1.50929 0.522369i
\(155\) 112.674 58.0873i 0.726927 0.374757i
\(156\) 43.6839 + 50.4139i 0.280025 + 0.323166i
\(157\) −299.175 57.6613i −1.90558 0.367270i −0.907025 0.421077i \(-0.861652\pi\)
−0.998551 + 0.0538072i \(0.982864\pi\)
\(158\) 2.97724 + 0.874197i 0.0188433 + 0.00553289i
\(159\) 40.5218 88.7303i 0.254854 0.558052i
\(160\) −135.227 + 128.938i −0.845167 + 0.805865i
\(161\) −136.985 + 213.153i −0.850841 + 1.32393i
\(162\) −9.18086 6.53766i −0.0566720 0.0403559i
\(163\) 52.7172 91.3088i 0.323418 0.560177i −0.657773 0.753216i \(-0.728501\pi\)
0.981191 + 0.193040i \(0.0618346\pi\)
\(164\) −20.3524 + 11.7505i −0.124100 + 0.0716493i
\(165\) 18.3409 192.074i 0.111157 1.16409i
\(166\) −7.77022 40.3157i −0.0468085 0.242866i
\(167\) −112.815 88.7188i −0.675540 0.531250i 0.220409 0.975407i \(-0.429261\pi\)
−0.895949 + 0.444157i \(0.853503\pi\)
\(168\) 89.4275 113.716i 0.532306 0.676883i
\(169\) −80.3574 + 15.4876i −0.475487 + 0.0916427i
\(170\) −91.0655 8.69570i −0.535679 0.0511512i
\(171\) −52.8059 91.4625i −0.308806 0.534868i
\(172\) 0.910934 + 0.525928i 0.00529613 + 0.00305772i
\(173\) 47.3832 66.5404i 0.273891 0.384626i −0.654603 0.755973i \(-0.727164\pi\)
0.928494 + 0.371346i \(0.121104\pi\)
\(174\) −97.1293 62.4212i −0.558214 0.358743i
\(175\) −68.6555 72.0038i −0.392317 0.411450i
\(176\) −6.19714 2.83014i −0.0352110 0.0160803i
\(177\) −31.0919 + 105.889i −0.175660 + 0.598244i
\(178\) 0.159602 0.828096i 0.000896643 0.00465223i
\(179\) −38.0096 + 32.9355i −0.212344 + 0.183997i −0.754538 0.656256i \(-0.772139\pi\)
0.542194 + 0.840253i \(0.317594\pi\)
\(180\) −19.6616 38.1382i −0.109231 0.211879i
\(181\) −93.6224 270.504i −0.517251 1.49450i −0.837111 0.547034i \(-0.815757\pi\)
0.319860 0.947465i \(-0.396364\pi\)
\(182\) 76.4409 + 190.940i 0.420005 + 1.04912i
\(183\) −79.2101 75.5267i −0.432842 0.412714i
\(184\) 191.255 46.3979i 1.03943 0.252163i
\(185\) 36.9677 71.7074i 0.199826 0.387608i
\(186\) 46.2730 + 6.65305i 0.248779 + 0.0357691i
\(187\) 66.2720 + 225.702i 0.354396 + 1.20696i
\(188\) −57.1289 + 5.45515i −0.303877 + 0.0290168i
\(189\) 31.2554 + 43.8921i 0.165372 + 0.232233i
\(190\) 12.3380 + 259.006i 0.0649366 + 1.36319i
\(191\) −185.184 64.0929i −0.969551 0.335565i −0.204022 0.978966i \(-0.565401\pi\)
−0.765529 + 0.643401i \(0.777523\pi\)
\(192\) −70.6707 + 10.1609i −0.368077 + 0.0529214i
\(193\) −21.6918 47.4984i −0.112393 0.246106i 0.845074 0.534649i \(-0.179556\pi\)
−0.957467 + 0.288544i \(0.906829\pi\)
\(194\) −134.052 53.6665i −0.690992 0.276631i
\(195\) 161.163 + 7.67713i 0.826475 + 0.0393699i
\(196\) −119.743 + 76.9542i −0.610934 + 0.392623i
\(197\) −165.097 40.0522i −0.838057 0.203310i −0.206312 0.978486i \(-0.566146\pi\)
−0.631745 + 0.775176i \(0.717661\pi\)
\(198\) 46.5970 53.7758i 0.235338 0.271595i
\(199\) 171.531 134.894i 0.861967 0.677858i −0.0859768 0.996297i \(-0.527401\pi\)
0.947943 + 0.318439i \(0.103159\pi\)
\(200\) 77.2754i 0.386377i
\(201\) −75.3926 + 88.2210i −0.375088 + 0.438911i
\(202\) 2.48387 0.0122964
\(203\) 341.213 + 433.888i 1.68085 + 2.13738i
\(204\) 39.5339 + 34.2563i 0.193794 + 0.167923i
\(205\) −13.4010 + 55.2398i −0.0653709 + 0.269462i
\(206\) −43.5959 67.8366i −0.211631 0.329304i
\(207\) −3.48784 + 73.2187i −0.0168494 + 0.353713i
\(208\) 2.11734 5.28886i 0.0101795 0.0254272i
\(209\) 606.506 276.982i 2.90194 1.32527i
\(210\) −18.8275 130.948i −0.0896550 0.623564i
\(211\) −45.5056 + 131.480i −0.215666 + 0.623127i 0.784330 + 0.620344i \(0.213007\pi\)
−0.999996 + 0.00278313i \(0.999114\pi\)
\(212\) 136.795 6.51635i 0.645259 0.0307375i
\(213\) −107.417 + 76.4915i −0.504307 + 0.359115i
\(214\) 4.91558 + 51.4783i 0.0229700 + 0.240553i
\(215\) 2.44108 0.716766i 0.0113539 0.00333380i
\(216\) 5.95621 41.4263i 0.0275750 0.191789i
\(217\) −198.653 102.413i −0.915450 0.471947i
\(218\) 61.4019 + 253.102i 0.281660 + 1.16102i
\(219\) 35.8657 37.6148i 0.163770 0.171757i
\(220\) 251.487 100.680i 1.14312 0.457638i
\(221\) −185.884 + 64.3350i −0.841104 + 0.291109i
\(222\) 26.4444 13.6330i 0.119119 0.0614100i
\(223\) 235.121 + 271.344i 1.05435 + 1.21679i 0.975522 + 0.219901i \(0.0705736\pi\)
0.0788319 + 0.996888i \(0.474881\pi\)
\(224\) 323.471 + 62.3439i 1.44407 + 0.278321i
\(225\) −27.6164 8.10890i −0.122739 0.0360396i
\(226\) 50.8256 111.292i 0.224892 0.492444i
\(227\) 184.289 175.719i 0.811847 0.774094i −0.165394 0.986228i \(-0.552890\pi\)
0.977241 + 0.212133i \(0.0680411\pi\)
\(228\) 80.1636 124.737i 0.351595 0.547092i
\(229\) −44.0210 31.3472i −0.192232 0.136888i 0.479889 0.877329i \(-0.340677\pi\)
−0.672121 + 0.740442i \(0.734616\pi\)
\(230\) 89.9856 155.860i 0.391242 0.677651i
\(231\) −294.606 + 170.091i −1.27535 + 0.736325i
\(232\) 40.7541 426.796i 0.175664 1.83964i
\(233\) 36.5500 + 189.640i 0.156867 + 0.813904i 0.972063 + 0.234719i \(0.0754170\pi\)
−0.815196 + 0.579185i \(0.803371\pi\)
\(234\) 46.7711 + 36.7812i 0.199877 + 0.157185i
\(235\) −85.8048 + 109.110i −0.365127 + 0.464296i
\(236\) −152.141 + 29.3228i −0.644665 + 0.124249i
\(237\) −4.27221 0.407946i −0.0180262 0.00172129i
\(238\) 80.6429 + 139.678i 0.338836 + 0.586881i
\(239\) −82.9258 47.8772i −0.346970 0.200323i 0.316380 0.948633i \(-0.397533\pi\)
−0.663350 + 0.748309i \(0.730866\pi\)
\(240\) −2.12559 + 2.98497i −0.00885662 + 0.0124374i
\(241\) 204.802 + 131.618i 0.849801 + 0.546134i 0.891513 0.452995i \(-0.149645\pi\)
−0.0417114 + 0.999130i \(0.513281\pi\)
\(242\) 205.436 + 215.455i 0.848908 + 0.890309i
\(243\) 14.1798 + 6.47568i 0.0583529 + 0.0266489i
\(244\) 43.2907 147.435i 0.177421 0.604240i
\(245\) −65.1548 + 338.055i −0.265938 + 1.37982i
\(246\) −15.8423 + 13.7274i −0.0643994 + 0.0558024i
\(247\) 255.486 + 495.573i 1.03435 + 2.00637i
\(248\) 56.7775 + 164.048i 0.228941 + 0.661483i
\(249\) 21.1054 + 52.7188i 0.0847608 + 0.211722i
\(250\) −82.1253 78.3063i −0.328501 0.313225i
\(251\) 34.2004 8.29693i 0.136257 0.0330555i −0.167051 0.985948i \(-0.553424\pi\)
0.303307 + 0.952893i \(0.401909\pi\)
\(252\) −34.6650 + 67.2406i −0.137559 + 0.266828i
\(253\) −458.066 65.8600i −1.81054 0.260316i
\(254\) −75.6703 257.709i −0.297914 1.01460i
\(255\) 125.952 12.0270i 0.493929 0.0471645i
\(256\) −150.449 211.276i −0.587692 0.825297i
\(257\) 13.1205 + 275.433i 0.0510525 + 1.07172i 0.868490 + 0.495706i \(0.165091\pi\)
−0.817438 + 0.576017i \(0.804606\pi\)
\(258\) 0.886629 + 0.306865i 0.00343655 + 0.00118940i
\(259\) −140.790 + 20.2425i −0.543590 + 0.0781564i
\(260\) 94.1012 + 206.053i 0.361928 + 0.792511i
\(261\) 148.250 + 59.3504i 0.568008 + 0.227396i
\(262\) 91.0145 + 4.33555i 0.347384 + 0.0165479i
\(263\) −84.4150 + 54.2503i −0.320970 + 0.206275i −0.691197 0.722667i \(-0.742916\pi\)
0.370227 + 0.928941i \(0.379280\pi\)
\(264\) 256.779 + 62.2938i 0.972646 + 0.235961i
\(265\) 216.918 250.337i 0.818559 0.944667i
\(266\) 359.356 282.601i 1.35096 1.06241i
\(267\) 1.16641i 0.00436859i
\(268\) −158.593 37.3264i −0.591765 0.139278i
\(269\) −256.820 −0.954720 −0.477360 0.878708i \(-0.658406\pi\)
−0.477360 + 0.878708i \(0.658406\pi\)
\(270\) −23.6588 30.0846i −0.0876251 0.111424i
\(271\) 188.952 + 163.728i 0.697239 + 0.604161i 0.929644 0.368458i \(-0.120114\pi\)
−0.232406 + 0.972619i \(0.574660\pi\)
\(272\) 1.05325 4.34154i 0.00387223 0.0159615i
\(273\) −153.793 239.307i −0.563345 0.876582i
\(274\) −1.69995 + 35.6864i −0.00620421 + 0.130242i
\(275\) 67.5353 168.695i 0.245583 0.613436i
\(276\) −93.6129 + 42.7516i −0.339177 + 0.154897i
\(277\) −58.6905 408.201i −0.211879 1.47365i −0.766874 0.641797i \(-0.778189\pi\)
0.554995 0.831853i \(-0.312720\pi\)
\(278\) 0.858864 2.48152i 0.00308944 0.00892634i
\(279\) −64.5847 + 3.07655i −0.231486 + 0.0110270i
\(280\) 400.168 284.959i 1.42917 1.01771i
\(281\) 38.6908 + 405.188i 0.137690 + 1.44195i 0.755255 + 0.655431i \(0.227513\pi\)
−0.617565 + 0.786520i \(0.711881\pi\)
\(282\) −49.1159 + 14.4217i −0.174170 + 0.0511409i
\(283\) 50.1002 348.454i 0.177032 1.23129i −0.686551 0.727082i \(-0.740876\pi\)
0.863584 0.504206i \(-0.168215\pi\)
\(284\) −164.558 84.8358i −0.579431 0.298718i
\(285\) −84.5514 348.526i −0.296672 1.22290i
\(286\) −259.228 + 271.870i −0.906391 + 0.950596i
\(287\) 93.0383 37.2469i 0.324175 0.129780i
\(288\) 90.0609 31.1704i 0.312711 0.108230i
\(289\) 119.769 61.7454i 0.414427 0.213652i
\(290\) −256.751 296.307i −0.885349 1.02175i
\(291\) 196.104 + 37.7959i 0.673896 + 0.129883i
\(292\) 70.0129 + 20.5576i 0.239770 + 0.0704028i
\(293\) 14.4096 31.5527i 0.0491796 0.107688i −0.883447 0.468531i \(-0.844784\pi\)
0.932627 + 0.360842i \(0.117511\pi\)
\(294\) −91.8874 + 87.6144i −0.312542 + 0.298008i
\(295\) −202.609 + 315.266i −0.686811 + 1.06870i
\(296\) 89.9935 + 64.0841i 0.304032 + 0.216500i
\(297\) −49.2074 + 85.2297i −0.165681 + 0.286969i
\(298\) −122.325 + 70.6244i −0.410487 + 0.236995i
\(299\) 36.7847 385.227i 0.123026 1.28839i
\(300\) −7.64750 39.6790i −0.0254917 0.132263i
\(301\) −3.52585 2.77276i −0.0117138 0.00921183i
\(302\) −172.066 + 218.800i −0.569757 + 0.724504i
\(303\) −3.37334 + 0.650157i −0.0111331 + 0.00214573i
\(304\) −12.6057 1.20370i −0.0414661 0.00395954i
\(305\) −185.828 321.864i −0.609273 1.05529i
\(306\) 40.4088 + 23.3300i 0.132055 + 0.0762419i
\(307\) 60.4540 84.8958i 0.196919 0.276534i −0.704296 0.709906i \(-0.748737\pi\)
0.901215 + 0.433373i \(0.142677\pi\)
\(308\) −401.786 258.212i −1.30450 0.838351i
\(309\) 76.9639 + 80.7174i 0.249074 + 0.261221i
\(310\) 144.403 + 65.9467i 0.465816 + 0.212731i
\(311\) −55.9028 + 190.387i −0.179752 + 0.612178i 0.819485 + 0.573101i \(0.194260\pi\)
−0.999236 + 0.0390767i \(0.987558\pi\)
\(312\) −41.8150 + 216.957i −0.134022 + 0.695375i
\(313\) −40.5564 + 35.1423i −0.129573 + 0.112276i −0.717237 0.696830i \(-0.754593\pi\)
0.587664 + 0.809105i \(0.300048\pi\)
\(314\) −174.838 339.138i −0.556809 1.08006i
\(315\) 59.8457 + 172.913i 0.189986 + 0.548929i
\(316\) −2.23938 5.59371i −0.00708665 0.0177016i
\(317\) 151.007 + 143.985i 0.476362 + 0.454211i 0.889819 0.456313i \(-0.150830\pi\)
−0.413457 + 0.910524i \(0.635679\pi\)
\(318\) 118.713 28.7994i 0.373311 0.0905643i
\(319\) −461.968 + 896.093i −1.44818 + 2.80907i
\(320\) −239.983 34.5043i −0.749946 0.107826i
\(321\) −20.1504 68.6259i −0.0627738 0.213788i
\(322\) −315.867 + 30.1616i −0.980952 + 0.0936696i
\(323\) 253.616 + 356.153i 0.785188 + 1.10264i
\(324\) 1.04136 + 21.8608i 0.00321408 + 0.0674717i
\(325\) 143.592 + 49.6978i 0.441822 + 0.152916i
\(326\) 130.692 18.7906i 0.400895 0.0576400i
\(327\) −149.640 327.665i −0.457614 1.00203i
\(328\) −72.2648 28.9305i −0.220320 0.0882026i
\(329\) 244.450 + 11.6446i 0.743010 + 0.0353939i
\(330\) 203.271 130.635i 0.615974 0.395862i
\(331\) −288.402 69.9657i −0.871306 0.211377i −0.224911 0.974379i \(-0.572209\pi\)
−0.646395 + 0.763003i \(0.723724\pi\)
\(332\) −52.2096 + 60.2531i −0.157258 + 0.181485i
\(333\) −32.3456 + 25.4368i −0.0971339 + 0.0763869i
\(334\) 179.732i 0.538119i
\(335\) −330.048 + 215.316i −0.985218 + 0.642735i
\(336\) 6.46071 0.0192283
\(337\) 163.320 + 207.678i 0.484628 + 0.616255i 0.965458 0.260559i \(-0.0839070\pi\)
−0.480830 + 0.876814i \(0.659665\pi\)
\(338\) −77.4521 67.1126i −0.229148 0.198558i
\(339\) −39.8951 + 164.450i −0.117685 + 0.485103i
\(340\) 96.0375 + 149.437i 0.282463 + 0.439521i
\(341\) 19.4232 407.743i 0.0569595 1.19573i
\(342\) 49.1553 122.784i 0.143729 0.359018i
\(343\) 89.9299 41.0696i 0.262186 0.119736i
\(344\) 0.495824 + 3.44853i 0.00144135 + 0.0100248i
\(345\) −81.4128 + 235.227i −0.235979 + 0.681817i
\(346\) 102.181 4.86749i 0.295321 0.0140679i
\(347\) −17.2325 + 12.2712i −0.0496615 + 0.0353638i −0.604618 0.796516i \(-0.706674\pi\)
0.554957 + 0.831879i \(0.312735\pi\)
\(348\) 21.3113 + 223.182i 0.0612394 + 0.641328i
\(349\) −324.068 + 95.1550i −0.928562 + 0.272650i −0.710835 0.703359i \(-0.751683\pi\)
−0.217728 + 0.976010i \(0.569864\pi\)
\(350\) 17.7311 123.323i 0.0506603 0.352350i
\(351\) −73.1473 37.7101i −0.208397 0.107436i
\(352\) 141.850 + 584.714i 0.402983 + 1.66112i
\(353\) 245.033 256.983i 0.694144 0.727997i −0.278465 0.960446i \(-0.589826\pi\)
0.972608 + 0.232450i \(0.0746741\pi\)
\(354\) −128.304 + 51.3651i −0.362440 + 0.145099i
\(355\) −423.170 + 146.461i −1.19203 + 0.412565i
\(356\) −1.45556 + 0.750392i −0.00408865 + 0.00210784i
\(357\) −146.082 168.588i −0.409193 0.472234i
\(358\) −61.8450 11.9197i −0.172751 0.0332951i
\(359\) −44.8219 13.1609i −0.124852 0.0366599i 0.218710 0.975790i \(-0.429815\pi\)
−0.343562 + 0.939130i \(0.611633\pi\)
\(360\) 59.0394 129.278i 0.163998 0.359106i
\(361\) 635.668 606.108i 1.76085 1.67897i
\(362\) 193.803 301.563i 0.535367 0.833047i
\(363\) −335.397 238.835i −0.923960 0.657949i
\(364\) 199.689 345.872i 0.548596 0.950197i
\(365\) 152.845 88.2450i 0.418753 0.241767i
\(366\) 13.0284 136.439i 0.0355967 0.372785i
\(367\) −61.2235 317.658i −0.166822 0.865553i −0.964824 0.262898i \(-0.915322\pi\)
0.798002 0.602655i \(-0.205890\pi\)
\(368\) 6.90863 + 5.43300i 0.0187734 + 0.0147636i
\(369\) 17.9222 22.7899i 0.0485696 0.0617612i
\(370\) 99.2047 19.1201i 0.268121 0.0516760i
\(371\) −581.363 55.5134i −1.56702 0.149632i
\(372\) −45.3887 78.6155i −0.122013 0.211332i
\(373\) 338.267 + 195.299i 0.906882 + 0.523588i 0.879427 0.476035i \(-0.157926\pi\)
0.0274553 + 0.999623i \(0.491260\pi\)
\(374\) −170.873 + 239.957i −0.456879 + 0.641597i
\(375\) 132.031 + 84.8512i 0.352083 + 0.226270i
\(376\) −131.174 137.571i −0.348866 0.365880i
\(377\) −766.857 350.212i −2.03410 0.928944i
\(378\) −19.0108 + 64.7449i −0.0502932 + 0.171283i
\(379\) 87.6313 454.674i 0.231217 1.19967i −0.661812 0.749670i \(-0.730212\pi\)
0.893029 0.449998i \(-0.148575\pi\)
\(380\) 380.528 329.729i 1.00139 0.867709i
\(381\) 170.224 + 330.188i 0.446781 + 0.866634i
\(382\) −80.2637 231.907i −0.210115 0.607086i
\(383\) −260.487 650.664i −0.680122 1.69886i −0.714672 0.699460i \(-0.753424\pi\)
0.0345498 0.999403i \(-0.489000\pi\)
\(384\) 94.5778 + 90.1797i 0.246296 + 0.234843i
\(385\) −1122.62 + 272.345i −2.91590 + 0.707391i
\(386\) 29.9642 58.1224i 0.0776274 0.150576i
\(387\) −1.28445 0.184676i −0.00331900 0.000477200i
\(388\) 78.9949 + 269.032i 0.203595 + 0.693381i
\(389\) 291.795 27.8631i 0.750116 0.0716274i 0.287007 0.957929i \(-0.407340\pi\)
0.463109 + 0.886301i \(0.346734\pi\)
\(390\) 117.202 + 164.588i 0.300519 + 0.422020i
\(391\) −14.4394 303.120i −0.0369294 0.775244i
\(392\) −445.530 154.199i −1.13656 0.393366i
\(393\) −124.741 + 17.9351i −0.317408 + 0.0456364i
\(394\) −88.3790 193.523i −0.224312 0.491175i
\(395\) −13.5296 5.41642i −0.0342521 0.0137125i
\(396\) −138.014 6.57443i −0.348521 0.0166021i
\(397\) 521.727 335.294i 1.31417 0.844569i 0.319495 0.947588i \(-0.396487\pi\)
0.994679 + 0.103019i \(0.0328504\pi\)
\(398\) 265.572 + 64.4272i 0.667268 + 0.161877i
\(399\) −414.069 + 477.862i −1.03777 + 1.19765i
\(400\) −2.71271 + 2.13330i −0.00678176 + 0.00533324i
\(401\) 492.431i 1.22801i 0.789303 + 0.614004i \(0.210442\pi\)
−0.789303 + 0.614004i \(0.789558\pi\)
\(402\) −145.206 5.92088i −0.361209 0.0147286i
\(403\) 341.347 0.847014
\(404\) −2.98151 3.79130i −0.00737997 0.00938440i
\(405\) 40.0057 + 34.6651i 0.0987794 + 0.0855928i
\(406\) −162.968 + 671.765i −0.401400 + 1.65459i
\(407\) −140.452 218.548i −0.345092 0.536973i
\(408\) −8.24432 + 173.069i −0.0202067 + 0.424190i
\(409\) 202.719 506.369i 0.495646 1.23807i −0.444033 0.896010i \(-0.646453\pi\)
0.939680 0.342055i \(-0.111123\pi\)
\(410\) −64.7508 + 29.5707i −0.157929 + 0.0721237i
\(411\) −7.03229 48.9106i −0.0171102 0.119004i
\(412\) −51.2132 + 147.971i −0.124304 + 0.359153i
\(413\) 659.979 31.4387i 1.59801 0.0761226i
\(414\) −74.7748 + 53.2469i −0.180615 + 0.128616i
\(415\) 18.3301 + 191.962i 0.0441690 + 0.462559i
\(416\) −482.747 + 141.747i −1.16045 + 0.340739i
\(417\) −0.516878 + 3.59496i −0.00123951 + 0.00862101i
\(418\) 742.165 + 382.612i 1.77551 + 0.915341i
\(419\) 67.5012 + 278.244i 0.161101 + 0.664066i 0.993880 + 0.110462i \(0.0352329\pi\)
−0.832780 + 0.553605i \(0.813252\pi\)
\(420\) −177.276 + 185.922i −0.422085 + 0.442670i
\(421\) 226.603 90.7180i 0.538248 0.215482i −0.0865792 0.996245i \(-0.527594\pi\)
0.624827 + 0.780763i \(0.285169\pi\)
\(422\) −164.653 + 56.9868i −0.390172 + 0.135040i
\(423\) 62.9293 32.4423i 0.148769 0.0766958i
\(424\) 297.052 + 342.816i 0.700594 + 0.808529i
\(425\) 117.003 + 22.5505i 0.275302 + 0.0530601i
\(426\) −158.451 46.5253i −0.371950 0.109214i
\(427\) −272.205 + 596.045i −0.637482 + 1.39589i
\(428\) 72.6744 69.2949i 0.169800 0.161904i
\(429\) 280.894 437.080i 0.654765 1.01883i
\(430\) 2.59526 + 1.84808i 0.00603550 + 0.00429786i
\(431\) 352.533 610.606i 0.817943 1.41672i −0.0892522 0.996009i \(-0.528448\pi\)
0.907195 0.420710i \(-0.138219\pi\)
\(432\) 1.61867 0.934542i 0.00374693 0.00216329i
\(433\) −39.5073 + 413.740i −0.0912410 + 0.955519i 0.827712 + 0.561152i \(0.189642\pi\)
−0.918953 + 0.394366i \(0.870964\pi\)
\(434\) −52.9689 274.829i −0.122048 0.633246i
\(435\) 426.252 + 335.209i 0.979891 + 0.770594i
\(436\) 312.623 397.533i 0.717025 0.911772i
\(437\) −844.625 + 162.788i −1.93278 + 0.372513i
\(438\) 64.7916 + 6.18684i 0.147926 + 0.0141252i
\(439\) 122.611 + 212.369i 0.279297 + 0.483757i 0.971210 0.238224i \(-0.0765652\pi\)
−0.691913 + 0.721981i \(0.743232\pi\)
\(440\) 777.048 + 448.629i 1.76602 + 1.01961i
\(441\) 101.859 143.041i 0.230972 0.324355i
\(442\) −207.227 133.177i −0.468839 0.301304i
\(443\) −161.822 169.714i −0.365286 0.383101i 0.515282 0.857021i \(-0.327687\pi\)
−0.880568 + 0.473920i \(0.842839\pi\)
\(444\) −52.5515 23.9994i −0.118359 0.0540528i
\(445\) −1.11591 + 3.80044i −0.00250766 + 0.00854032i
\(446\) −85.0924 + 441.501i −0.190790 + 0.989913i
\(447\) 147.643 127.934i 0.330298 0.286205i
\(448\) 195.873 + 379.941i 0.437217 + 0.848082i
\(449\) −27.2085 78.6138i −0.0605980 0.175086i 0.910638 0.413205i \(-0.135591\pi\)
−0.971236 + 0.238118i \(0.923469\pi\)
\(450\) −13.3962 33.4622i −0.0297694 0.0743605i
\(451\) 132.473 + 126.312i 0.293731 + 0.280072i
\(452\) −230.882 + 56.0113i −0.510800 + 0.123919i
\(453\) 176.412 342.191i 0.389430 0.755389i
\(454\) 315.636 + 45.3817i 0.695234 + 0.0999596i
\(455\) −272.148 926.852i −0.598128 2.03704i
\(456\) 488.898 46.6841i 1.07215 0.102377i
\(457\) −15.0174 21.0890i −0.0328608 0.0461465i 0.797819 0.602897i \(-0.205987\pi\)
−0.830680 + 0.556751i \(0.812048\pi\)
\(458\) −3.22018 67.5999i −0.00703096 0.147598i
\(459\) −60.9858 21.1074i −0.132867 0.0459856i
\(460\) −345.913 + 49.7348i −0.751986 + 0.108119i
\(461\) −119.591 261.867i −0.259415 0.568041i 0.734447 0.678666i \(-0.237442\pi\)
−0.993862 + 0.110626i \(0.964715\pi\)
\(462\) −395.495 158.332i −0.856050 0.342711i
\(463\) −95.4582 4.54723i −0.206173 0.00982124i −0.0557587 0.998444i \(-0.517758\pi\)
−0.150414 + 0.988623i \(0.548061\pi\)
\(464\) 16.1075 10.3516i 0.0347144 0.0223096i
\(465\) −213.375 51.7643i −0.458871 0.111321i
\(466\) −158.383 + 182.783i −0.339877 + 0.392239i
\(467\) −357.553 + 281.183i −0.765638 + 0.602105i −0.922715 0.385482i \(-0.874035\pi\)
0.157077 + 0.987586i \(0.449793\pi\)
\(468\) 115.540i 0.246881i
\(469\) 646.764 + 253.801i 1.37903 + 0.541154i
\(470\) −173.828 −0.369848
\(471\) 326.217 + 414.819i 0.692606 + 0.880720i
\(472\) −387.851 336.075i −0.821719 0.712023i
\(473\) 1.93146 7.96160i 0.00408343 0.0168321i
\(474\) −2.90564 4.52126i −0.00613004 0.00953853i
\(475\) 16.0708 337.367i 0.0338332 0.710246i
\(476\) 116.400 290.753i 0.244537 0.610825i
\(477\) −153.685 + 70.1858i −0.322192 + 0.147140i
\(478\) −17.0655 118.693i −0.0357019 0.248312i
\(479\) 185.938 537.234i 0.388180 1.12157i −0.566531 0.824040i \(-0.691715\pi\)
0.954711 0.297533i \(-0.0961639\pi\)
\(480\) 323.260 15.3988i 0.673459 0.0320808i
\(481\) 176.957 126.011i 0.367895 0.261977i
\(482\) 28.9799 + 303.491i 0.0601243 + 0.629650i
\(483\) 421.083 123.641i 0.871808 0.255986i
\(484\) 82.2686 572.191i 0.169977 1.18221i
\(485\) 602.792 + 310.761i 1.24287 + 0.640744i
\(486\) 4.60236 + 18.9712i 0.00946988 + 0.0390354i
\(487\) 104.549 109.647i 0.214679 0.225149i −0.607586 0.794254i \(-0.707862\pi\)
0.822265 + 0.569105i \(0.192710\pi\)
\(488\) 472.497 189.159i 0.968231 0.387621i
\(489\) −172.574 + 59.7284i −0.352912 + 0.122144i
\(490\) −383.211 + 197.559i −0.782064 + 0.403182i
\(491\) 331.878 + 383.008i 0.675923 + 0.780057i 0.985291 0.170885i \(-0.0546628\pi\)
−0.309368 + 0.950943i \(0.600117\pi\)
\(492\) 39.9693 + 7.70345i 0.0812384 + 0.0156574i
\(493\) −634.322 186.254i −1.28666 0.377796i
\(494\) −290.053 + 635.128i −0.587153 + 1.28568i
\(495\) −241.869 + 230.621i −0.488624 + 0.465902i
\(496\) −4.19137 + 6.52190i −0.00845035 + 0.0131490i
\(497\) 643.111 + 457.958i 1.29399 + 0.921444i
\(498\) −35.5570 + 61.5865i −0.0713996 + 0.123668i
\(499\) −179.728 + 103.766i −0.360176 + 0.207948i −0.669158 0.743120i \(-0.733345\pi\)
0.308982 + 0.951068i \(0.400012\pi\)
\(500\) −20.9452 + 219.348i −0.0418904 + 0.438696i
\(501\) 47.0451 + 244.093i 0.0939025 + 0.487212i
\(502\) 34.6426 + 27.2432i 0.0690092 + 0.0542694i
\(503\) 357.342 454.398i 0.710422 0.903375i −0.288107 0.957598i \(-0.593026\pi\)
0.998529 + 0.0542233i \(0.0172683\pi\)
\(504\) −246.043 + 47.4209i −0.488181 + 0.0940892i
\(505\) −11.6131 1.10892i −0.0229963 0.00219588i
\(506\) −289.768 501.893i −0.572664 0.991884i
\(507\) 122.754 + 70.8723i 0.242119 + 0.139788i
\(508\) −302.528 + 424.842i −0.595528 + 0.836302i
\(509\) 843.855 + 542.312i 1.65787 + 1.06545i 0.921120 + 0.389279i \(0.127276\pi\)
0.736748 + 0.676168i \(0.236361\pi\)
\(510\) 109.341 + 114.674i 0.214395 + 0.224851i
\(511\) −283.046 129.263i −0.553907 0.252961i
\(512\) 6.48433 22.0836i 0.0126647 0.0431320i
\(513\) −34.6188 + 179.619i −0.0674830 + 0.350135i
\(514\) −260.973 + 226.134i −0.507729 + 0.439950i
\(515\) 173.544 + 336.628i 0.336978 + 0.653646i
\(516\) −0.595875 1.72167i −0.00115480 0.00333656i
\(517\) 166.126 + 414.962i 0.321327 + 0.802635i
\(518\) −128.915 122.920i −0.248870 0.237297i
\(519\) −137.498 + 33.3566i −0.264929 + 0.0642710i
\(520\) −343.806 + 666.892i −0.661166 + 1.28248i
\(521\) −475.336 68.3430i −0.912353 0.131177i −0.329876 0.944024i \(-0.607007\pi\)
−0.582476 + 0.812848i \(0.697916\pi\)
\(522\) 56.3406 + 191.878i 0.107932 + 0.367583i
\(523\) 892.395 85.2134i 1.70630 0.162932i 0.804171 0.594398i \(-0.202610\pi\)
0.902129 + 0.431467i \(0.142004\pi\)
\(524\) −102.631 144.126i −0.195862 0.275049i
\(525\) 8.19934 + 172.125i 0.0156178 + 0.327858i
\(526\) −118.750 41.0999i −0.225761 0.0781366i
\(527\) 264.955 38.0947i 0.502760 0.0722860i
\(528\) 4.90194 + 10.7338i 0.00928398 + 0.0203291i
\(529\) 63.1436 + 25.2789i 0.119364 + 0.0477861i
\(530\) 414.347 + 19.7378i 0.781786 + 0.0372411i
\(531\) 160.804 103.343i 0.302833 0.194619i
\(532\) −862.705 209.290i −1.62163 0.393402i
\(533\) −100.234 + 115.676i −0.188055 + 0.217028i
\(534\) −1.14819 + 0.902946i −0.00215017 + 0.00169091i
\(535\) 242.877i 0.453976i
\(536\) −227.535 489.337i −0.424505 0.912942i
\(537\) 87.1116 0.162219
\(538\) −198.810 252.807i −0.369535 0.469902i
\(539\) 837.844 + 725.996i 1.55444 + 1.34693i
\(540\) −17.5214 + 72.2240i −0.0324469 + 0.133748i
\(541\) 40.9475 + 63.7155i 0.0756885 + 0.117774i 0.877034 0.480428i \(-0.159519\pi\)
−0.801346 + 0.598201i \(0.795882\pi\)
\(542\) −14.8979 + 312.745i −0.0274869 + 0.577020i
\(543\) −184.269 + 460.281i −0.339353 + 0.847662i
\(544\) −358.891 + 163.900i −0.659726 + 0.301287i
\(545\) −174.083 1210.77i −0.319418 2.22160i
\(546\) 116.513 336.643i 0.213394 0.616563i
\(547\) 389.119 18.5360i 0.711369 0.0338867i 0.311222 0.950337i \(-0.399262\pi\)
0.400148 + 0.916451i \(0.368959\pi\)
\(548\) 56.5111 40.2414i 0.103123 0.0734332i
\(549\) 18.0195 + 188.708i 0.0328223 + 0.343731i
\(550\) 218.340 64.1104i 0.396982 0.116564i
\(551\) −266.683 + 1854.82i −0.483997 + 3.36628i
\(552\) −302.979 156.197i −0.548875 0.282965i
\(553\) 6.05764 + 24.9699i 0.0109541 + 0.0451536i
\(554\) 356.390 373.771i 0.643303 0.674677i
\(555\) −129.725 + 51.9340i −0.233739 + 0.0935748i
\(556\) −4.81865 + 1.66775i −0.00866664 + 0.00299955i
\(557\) −763.806 + 393.769i −1.37128 + 0.706946i −0.977238 0.212144i \(-0.931955\pi\)
−0.394046 + 0.919091i \(0.628925\pi\)
\(558\) −53.0249 61.1940i −0.0950267 0.109667i
\(559\) 6.72690 + 1.29650i 0.0120338 + 0.00231933i
\(560\) 21.0505 + 6.18098i 0.0375902 + 0.0110375i
\(561\) 169.253 370.612i 0.301698 0.660627i
\(562\) −368.906 + 351.751i −0.656417 + 0.625892i
\(563\) 365.751 569.120i 0.649647 1.01087i −0.347667 0.937618i \(-0.613026\pi\)
0.997313 0.0732519i \(-0.0233377\pi\)
\(564\) 80.9691 + 57.6578i 0.143562 + 0.102230i
\(565\) −287.317 + 497.648i −0.508526 + 0.880793i
\(566\) 381.794 220.429i 0.674548 0.389450i
\(567\) 8.87145 92.9061i 0.0156463 0.163855i
\(568\) −116.054 602.143i −0.204320 1.06011i
\(569\) −220.951 173.758i −0.388314 0.305374i 0.404848 0.914384i \(-0.367324\pi\)
−0.793162 + 0.609010i \(0.791567\pi\)
\(570\) 277.627 353.032i 0.487066 0.619354i
\(571\) 661.616 127.516i 1.15870 0.223321i 0.426548 0.904465i \(-0.359729\pi\)
0.732149 + 0.681144i \(0.238517\pi\)
\(572\) 726.138 + 69.3378i 1.26947 + 0.121220i
\(573\) 169.708 + 293.943i 0.296175 + 0.512990i
\(574\) 108.688 + 62.7510i 0.189352 + 0.109322i
\(575\) −135.978 + 190.954i −0.236483 + 0.332093i
\(576\) 104.033 + 66.8578i 0.180612 + 0.116073i
\(577\) −179.920 188.694i −0.311819 0.327027i 0.549111 0.835749i \(-0.314966\pi\)
−0.860931 + 0.508723i \(0.830118\pi\)
\(578\) 153.497 + 70.0997i 0.265566 + 0.121280i
\(579\) −25.4807 + 86.7791i −0.0440080 + 0.149878i
\(580\) −144.082 + 747.568i −0.248417 + 1.28891i
\(581\) 256.942 222.642i 0.442241 0.383204i
\(582\) 114.603 + 222.299i 0.196912 + 0.381956i
\(583\) −348.869 1007.99i −0.598403 1.72897i
\(584\) 89.8268 + 224.376i 0.153813 + 0.384206i
\(585\) −202.254 192.848i −0.345733 0.329655i
\(586\) 42.2145 10.2411i 0.0720384 0.0174763i
\(587\) −111.835 + 216.930i −0.190520 + 0.369557i −0.964677 0.263437i \(-0.915144\pi\)
0.774157 + 0.632994i \(0.218174\pi\)
\(588\) 244.029 + 35.0860i 0.415015 + 0.0596701i
\(589\) −213.761 728.003i −0.362922 1.23600i
\(590\) −467.185 + 44.6108i −0.791839 + 0.0756115i
\(591\) 170.682 + 239.690i 0.288803 + 0.405567i
\(592\) 0.234764 + 4.92829i 0.000396560 + 0.00832482i
\(593\) −1100.12 380.755i −1.85518 0.642083i −0.990085 0.140469i \(-0.955139\pi\)
−0.865092 0.501614i \(-0.832740\pi\)
\(594\) −121.991 + 17.5396i −0.205371 + 0.0295280i
\(595\) −314.681 689.054i −0.528875 1.15807i
\(596\) 254.632 + 101.939i 0.427234 + 0.171039i
\(597\) −377.537 17.9843i −0.632391 0.0301245i
\(598\) 407.685 262.003i 0.681747 0.438132i
\(599\) 65.5606 + 15.9048i 0.109450 + 0.0265523i 0.290110 0.956993i \(-0.406308\pi\)
−0.180660 + 0.983546i \(0.557823\pi\)
\(600\) 87.6498 101.153i 0.146083 0.168589i
\(601\) 315.308 247.961i 0.524640 0.412581i −0.320402 0.947282i \(-0.603818\pi\)
0.845042 + 0.534700i \(0.179576\pi\)
\(602\) 5.61722i 0.00933093i
\(603\) 198.754 29.9668i 0.329608 0.0496961i
\(604\) 540.510 0.894883
\(605\) −864.308 1099.06i −1.42861 1.81662i
\(606\) −3.25138 2.81733i −0.00536531 0.00464906i
\(607\) −135.059 + 556.722i −0.222503 + 0.917170i 0.745555 + 0.666444i \(0.232184\pi\)
−0.968058 + 0.250726i \(0.919331\pi\)
\(608\) 604.620 + 940.807i 0.994441 + 1.54738i
\(609\) 45.4913 954.980i 0.0746984 1.56811i
\(610\) 172.982 432.087i 0.283576 0.708340i
\(611\) −339.994 + 155.270i −0.556455 + 0.254124i
\(612\) −12.8944 89.6828i −0.0210693 0.146541i
\(613\) 156.415 451.931i 0.255163 0.737244i −0.742559 0.669781i \(-0.766388\pi\)
0.997722 0.0674637i \(-0.0214907\pi\)
\(614\) 130.368 6.21021i 0.212326 0.0101143i
\(615\) 80.1977 57.1086i 0.130403 0.0928594i
\(616\) −150.372 1574.77i −0.244111 2.55645i
\(617\) 240.984 70.7593i 0.390574 0.114683i −0.0805486 0.996751i \(-0.525667\pi\)
0.471122 + 0.882068i \(0.343849\pi\)
\(618\) −19.8769 + 138.247i −0.0321632 + 0.223700i
\(619\) −52.3194 26.9725i −0.0845224 0.0435743i 0.415447 0.909617i \(-0.363625\pi\)
−0.499969 + 0.866043i \(0.666655\pi\)
\(620\) −72.6752 299.571i −0.117218 0.483179i
\(621\) 87.6140 91.8869i 0.141085 0.147966i
\(622\) −230.688 + 92.3537i −0.370882 + 0.148479i
\(623\) 6.59927 2.28403i 0.0105927 0.00366618i
\(624\) −8.77050 + 4.52151i −0.0140553 + 0.00724600i
\(625\) 506.080 + 584.048i 0.809728 + 0.934476i
\(626\) −65.9889 12.7183i −0.105414 0.0203168i
\(627\) −1108.08 325.362i −1.76728 0.518919i
\(628\) −307.783 + 673.951i −0.490101 + 1.07317i
\(629\) 123.292 117.559i 0.196013 0.186898i
\(630\) −123.883 + 192.766i −0.196640 + 0.305978i
\(631\) 614.306 + 437.446i 0.973544 + 0.693258i 0.951868 0.306507i \(-0.0991604\pi\)
0.0216759 + 0.999765i \(0.493100\pi\)
\(632\) 9.97862 17.2835i 0.0157890 0.0273473i
\(633\) 208.698 120.492i 0.329697 0.190351i
\(634\) −24.8374 + 260.110i −0.0391758 + 0.410267i
\(635\) 238.736 + 1238.68i 0.375963 + 1.95068i
\(636\) −186.455 146.630i −0.293169 0.230550i
\(637\) −573.063 + 728.708i −0.899627 + 1.14397i
\(638\) −1239.71 + 238.935i −1.94312 + 0.374506i
\(639\) 227.370 + 21.7112i 0.355821 + 0.0339768i
\(640\) 221.881 + 384.309i 0.346689 + 0.600484i
\(641\) 459.631 + 265.368i 0.717054 + 0.413991i 0.813667 0.581331i \(-0.197468\pi\)
−0.0966137 + 0.995322i \(0.530801\pi\)
\(642\) 51.9549 72.9604i 0.0809266 0.113646i
\(643\) −187.248 120.337i −0.291210 0.187150i 0.386876 0.922132i \(-0.373554\pi\)
−0.678086 + 0.734982i \(0.737190\pi\)
\(644\) 425.188 + 445.924i 0.660230 + 0.692429i
\(645\) −4.00836 1.83056i −0.00621452 0.00283807i
\(646\) −154.260 + 525.360i −0.238792 + 0.813250i
\(647\) 220.033 1141.64i 0.340081 1.76451i −0.261018 0.965334i \(-0.584058\pi\)
0.601099 0.799175i \(-0.294730\pi\)
\(648\) −54.7846 + 47.4711i −0.0845441 + 0.0732578i
\(649\) 552.978 + 1072.63i 0.852047 + 1.65274i
\(650\) 62.2367 + 179.821i 0.0957487 + 0.276648i
\(651\) 143.874 + 359.380i 0.221005 + 0.552043i
\(652\) −185.557 176.928i −0.284597 0.271363i
\(653\) 644.218 156.286i 0.986552 0.239335i 0.290146 0.956983i \(-0.406296\pi\)
0.696406 + 0.717648i \(0.254781\pi\)
\(654\) 206.707 400.955i 0.316065 0.613081i
\(655\) −423.595 60.9038i −0.646710 0.0929829i
\(656\) −0.979384 3.33548i −0.00149296 0.00508457i
\(657\) −89.6127 + 8.55698i −0.136397 + 0.0130243i
\(658\) 177.772 + 249.646i 0.270170 + 0.379400i
\(659\) −34.2226 718.420i −0.0519311 1.09017i −0.862996 0.505211i \(-0.831415\pi\)
0.811065 0.584956i \(-0.198888\pi\)
\(660\) −443.393 153.460i −0.671808 0.232515i
\(661\) −100.471 + 14.4456i −0.151999 + 0.0218541i −0.217894 0.975972i \(-0.569919\pi\)
0.0658954 + 0.997827i \(0.479010\pi\)
\(662\) −154.386 338.059i −0.233212 0.510662i
\(663\) 316.294 + 126.625i 0.477064 + 0.190988i
\(664\) −263.773 12.5651i −0.397249 0.0189233i
\(665\) −1806.31 + 1160.84i −2.71625 + 1.74563i
\(666\) −50.0789 12.1490i −0.0751935 0.0182417i
\(667\) 851.717 982.934i 1.27694 1.47366i
\(668\) −274.337 + 215.741i −0.410684 + 0.322965i
\(669\) 621.875i 0.929559i
\(670\) −467.450 158.211i −0.697686 0.236135i
\(671\) −1196.79 −1.78360
\(672\) −352.709 448.505i −0.524864 0.667419i
\(673\) −455.908 395.047i −0.677427 0.586994i 0.246694 0.969093i \(-0.420656\pi\)
−0.924121 + 0.382100i \(0.875201\pi\)
\(674\) −78.0038 + 321.536i −0.115733 + 0.477056i
\(675\) 26.9522 + 41.9385i 0.0399292 + 0.0621311i
\(676\) −9.46901 + 198.779i −0.0140074 + 0.294052i
\(677\) −243.243 + 607.592i −0.359296 + 0.897477i 0.633064 + 0.774099i \(0.281797\pi\)
−0.992360 + 0.123378i \(0.960627\pi\)
\(678\) −192.764 + 88.0324i −0.284313 + 0.129841i
\(679\) −170.164 1183.52i −0.250610 1.74303i
\(680\) −192.438 + 556.013i −0.282997 + 0.817667i
\(681\) −440.544 + 20.9857i −0.646907 + 0.0308160i
\(682\) 416.409 296.523i 0.610570 0.434785i
\(683\) −24.3405 254.905i −0.0356376 0.373213i −0.995644 0.0932357i \(-0.970279\pi\)
0.960007 0.279978i \(-0.0903271\pi\)
\(684\) −246.417 + 72.3546i −0.360259 + 0.105782i
\(685\) 23.8802 166.090i 0.0348615 0.242467i
\(686\) 110.045 + 56.7320i 0.160415 + 0.0826997i
\(687\) 22.0677 + 90.9644i 0.0321219 + 0.132408i
\(688\) −0.107371 + 0.112607i −0.000156062 + 0.000163673i
\(689\) 828.059 331.505i 1.20183 0.481139i
\(690\) −294.575 + 101.953i −0.426920 + 0.147759i
\(691\) 74.5183 38.4168i 0.107841 0.0555960i −0.403462 0.914996i \(-0.632193\pi\)
0.511303 + 0.859400i \(0.329163\pi\)
\(692\) −130.083 150.123i −0.187981 0.216941i
\(693\) 578.565 + 111.509i 0.834870 + 0.160908i
\(694\) −25.4196 7.46387i −0.0366277 0.0107549i
\(695\) −5.12342 + 11.2187i −0.00737183 + 0.0161421i
\(696\) −537.441 + 512.449i −0.772185 + 0.736277i
\(697\) −64.8922 + 100.974i −0.0931021 + 0.144870i
\(698\) −344.537 245.344i −0.493606 0.351495i
\(699\) 167.255 289.695i 0.239278 0.414442i
\(700\) −209.519 + 120.966i −0.299313 + 0.172808i
\(701\) 37.9277 397.197i 0.0541051 0.566615i −0.927254 0.374433i \(-0.877838\pi\)
0.981359 0.192182i \(-0.0615564\pi\)
\(702\) −19.5041 101.197i −0.0277836 0.144155i
\(703\) −379.564 298.492i −0.539920 0.424598i
\(704\) −482.615 + 613.695i −0.685532 + 0.871725i
\(705\) 236.076 45.4999i 0.334860 0.0645389i
\(706\) 442.653 + 42.2683i 0.626988 + 0.0598701i
\(707\) 10.2840 + 17.8124i 0.0145460 + 0.0251943i
\(708\) 232.411 + 134.183i 0.328265 + 0.189524i
\(709\) −497.633 + 698.828i −0.701880 + 0.985653i 0.297640 + 0.954678i \(0.403800\pi\)
−0.999520 + 0.0309746i \(0.990139\pi\)
\(710\) −471.758 303.181i −0.664448 0.427015i
\(711\) 5.12959 + 5.37976i 0.00721462 + 0.00756647i
\(712\) −4.93395 2.25326i −0.00692971 0.00316469i
\(713\) −148.365 + 505.283i −0.208085 + 0.708672i
\(714\) 52.8683 274.307i 0.0740453 0.384183i
\(715\) 1333.38 1155.38i 1.86486 1.61591i
\(716\) 56.0418 + 108.706i 0.0782707 + 0.151824i
\(717\) 54.2447 + 156.730i 0.0756552 + 0.218591i
\(718\) −21.7423 54.3097i −0.0302818 0.0756403i
\(719\) −526.682 502.190i −0.732520 0.698456i 0.228928 0.973443i \(-0.426478\pi\)
−0.961448 + 0.274987i \(0.911326\pi\)
\(720\) 6.16810 1.49636i 0.00856680 0.00207828i
\(721\) 305.971 593.501i 0.424370 0.823163i
\(722\) 1088.72 + 156.535i 1.50793 + 0.216807i
\(723\) −118.797 404.585i −0.164311 0.559592i
\(724\) −692.927 + 66.1665i −0.957082 + 0.0913902i
\(725\) 296.229 + 415.996i 0.408592 + 0.573787i
\(726\) −24.5346 515.045i −0.0337943 0.709429i
\(727\) 1038.23 + 359.335i 1.42810 + 0.494271i 0.928288 0.371862i \(-0.121280\pi\)
0.499814 + 0.866133i \(0.333402\pi\)
\(728\) 1309.37 188.259i 1.79858 0.258597i
\(729\) −11.2162 24.5601i −0.0153857 0.0336901i
\(730\) 205.187 + 82.1445i 0.281078 + 0.112527i
\(731\) 5.36614 + 0.255621i 0.00734082 + 0.000349686i
\(732\) −223.895 + 143.889i −0.305868 + 0.196569i
\(733\) −266.517 64.6563i −0.363597 0.0882077i 0.0497983 0.998759i \(-0.484142\pi\)
−0.413395 + 0.910552i \(0.635657\pi\)
\(734\) 265.301 306.173i 0.361445 0.417130i
\(735\) 468.727 368.611i 0.637724 0.501512i
\(736\) 776.203i 1.05462i
\(737\) 69.0572 + 1267.09i 0.0937004 + 1.71926i
\(738\) 36.3078 0.0491975
\(739\) −64.8428 82.4543i −0.0877440 0.111576i 0.740199 0.672388i \(-0.234731\pi\)
−0.827943 + 0.560812i \(0.810489\pi\)
\(740\) −148.265 128.472i −0.200357 0.173611i
\(741\) 227.675 938.489i 0.307254 1.26652i
\(742\) −395.400 615.254i −0.532884 0.829183i
\(743\) 38.4198 806.530i 0.0517090 1.08551i −0.812689 0.582697i \(-0.801997\pi\)
0.864398 0.502808i \(-0.167700\pi\)
\(744\) 111.750 279.138i 0.150202 0.375185i
\(745\) 603.451 275.587i 0.810002 0.369915i
\(746\) 69.6127 + 484.167i 0.0933146 + 0.649017i
\(747\) 32.1695 92.9477i 0.0430649 0.124428i
\(748\) 571.370 27.2177i 0.763863 0.0363873i
\(749\) −348.811 + 248.387i −0.465702 + 0.331625i
\(750\) 18.6826 + 195.653i 0.0249102 + 0.260871i
\(751\) −473.606 + 139.063i −0.630634 + 0.185171i −0.581402 0.813617i \(-0.697496\pi\)
−0.0492320 + 0.998787i \(0.515677\pi\)
\(752\) 1.20811 8.40261i 0.00160653 0.0111737i
\(753\) −54.1790 27.9312i −0.0719509 0.0370933i
\(754\) −248.901 1025.98i −0.330107 1.36072i
\(755\) 902.166 946.165i 1.19492 1.25320i
\(756\) 121.644 48.6990i 0.160905 0.0644166i
\(757\) −264.058 + 91.3914i −0.348822 + 0.120728i −0.495860 0.868402i \(-0.665147\pi\)
0.147038 + 0.989131i \(0.453026\pi\)
\(758\) 515.408 265.711i 0.679958 0.350543i
\(759\) 524.905 + 605.773i 0.691575 + 0.798120i
\(760\) 1637.61 + 315.623i 2.15475 + 0.415293i
\(761\) −793.408 232.965i −1.04259 0.306131i −0.284767 0.958597i \(-0.591916\pi\)
−0.757818 + 0.652466i \(0.773735\pi\)
\(762\) −193.255 + 423.170i −0.253616 + 0.555341i
\(763\) −1560.83 + 1488.25i −2.04565 + 1.95052i
\(764\) −257.631 + 400.881i −0.337213 + 0.524713i
\(765\) −178.512 127.118i −0.233349 0.166167i
\(766\) 438.850 760.111i 0.572912 0.992312i
\(767\) −873.927 + 504.562i −1.13941 + 0.657839i
\(768\) −42.7031 + 447.207i −0.0556030 + 0.582301i
\(769\) 120.011 + 622.677i 0.156061 + 0.809723i 0.972609 + 0.232445i \(0.0746727\pi\)
−0.816548 + 0.577277i \(0.804115\pi\)
\(770\) −1137.14 894.255i −1.47680 1.16137i
\(771\) 295.236 375.423i 0.382926 0.486930i
\(772\) −124.684 + 24.0308i −0.161507 + 0.0311280i
\(773\) 8.04933 + 0.768618i 0.0104131 + 0.000994331i 0.100261 0.994961i \(-0.468032\pi\)
−0.0898482 + 0.995955i \(0.528638\pi\)
\(774\) −0.812532 1.40735i −0.00104978 0.00181828i
\(775\) −179.075 103.389i −0.231064 0.133405i
\(776\) −538.708 + 756.510i −0.694211 + 0.974884i
\(777\) 207.253 + 133.194i 0.266735 + 0.171420i
\(778\) 253.313 + 265.667i 0.325595 + 0.341474i
\(779\) 309.475 + 141.333i 0.397272 + 0.181428i
\(780\) 110.538 376.457i 0.141715 0.482637i
\(781\) −272.897 + 1415.93i −0.349420 + 1.81297i
\(782\) 287.207 248.866i 0.367272 0.318243i
\(783\) −126.741 245.842i −0.161865 0.313975i
\(784\) −6.88639 19.8969i −0.00878366 0.0253787i
\(785\) 666.033 + 1663.67i 0.848450 + 2.11932i
\(786\) −114.220 108.909i −0.145318 0.138561i
\(787\) −472.626 + 114.658i −0.600541 + 0.145690i −0.524493 0.851415i \(-0.675745\pi\)
−0.0760475 + 0.997104i \(0.524230\pi\)
\(788\) −189.302 + 367.194i −0.240231 + 0.465982i
\(789\) 172.032 + 24.7345i 0.218039 + 0.0313492i
\(790\) −5.14174 17.5112i −0.00650853 0.0221660i
\(791\) 1008.54 96.3036i 1.27502 0.121749i
\(792\) −265.465 372.794i −0.335184 0.470700i
\(793\) −47.6188 999.641i −0.0600489 1.26058i
\(794\) 733.936 + 254.018i 0.924353 + 0.319922i
\(795\) −567.890 + 81.6502i −0.714327 + 0.102705i
\(796\) −220.440 482.696i −0.276935 0.606402i
\(797\) −507.761 203.277i −0.637091 0.255053i 0.0305535 0.999533i \(-0.490273\pi\)
−0.667644 + 0.744480i \(0.732697\pi\)
\(798\) −790.936 37.6769i −0.991148 0.0472142i
\(799\) −246.576 + 158.465i −0.308606 + 0.198329i
\(800\) 296.189 + 71.8546i 0.370236 + 0.0898183i
\(801\) 1.32301 1.52683i 0.00165169 0.00190615i
\(802\) −484.738 + 381.202i −0.604411 + 0.475314i
\(803\) 568.326i 0.707754i
\(804\) 165.260 + 228.745i 0.205548 + 0.284508i
\(805\) 1490.27 1.85127
\(806\) 264.244 + 336.014i 0.327846 + 0.416890i
\(807\) 336.176 + 291.298i 0.416575 + 0.360964i
\(808\) 3.76639 15.5253i 0.00466137 0.0192144i
\(809\) 381.622 + 593.816i 0.471721 + 0.734012i 0.992837 0.119473i \(-0.0381206\pi\)
−0.521116 + 0.853486i \(0.674484\pi\)
\(810\) −3.15424 + 66.2157i −0.00389412 + 0.0817477i
\(811\) −51.5007 + 128.643i −0.0635027 + 0.158622i −0.956725 0.290993i \(-0.906014\pi\)
0.893223 + 0.449615i \(0.148439\pi\)
\(812\) 1220.98 557.602i 1.50367 0.686703i
\(813\) −61.6288 428.638i −0.0758042 0.527230i
\(814\) 106.406 307.441i 0.130720 0.377692i
\(815\) −619.428 + 29.5070i −0.760034 + 0.0362049i
\(816\) −6.30309 + 4.48841i −0.00772438 + 0.00550050i
\(817\) −1.44747 15.1586i −0.00177169 0.0185540i
\(818\) 655.387 192.439i 0.801207 0.235256i
\(819\) −70.1195 + 487.692i −0.0856161 + 0.595473i
\(820\) 122.859 + 63.3384i 0.149828 + 0.0772419i
\(821\) −252.421 1040.49i −0.307455 1.26735i −0.890529 0.454927i \(-0.849665\pi\)
0.583074 0.812419i \(-0.301850\pi\)
\(822\) 42.7026 44.7852i 0.0519497 0.0544833i
\(823\) −1494.17 + 598.174i −1.81551 + 0.726821i −0.829873 + 0.557953i \(0.811587\pi\)
−0.985639 + 0.168869i \(0.945989\pi\)
\(824\) −490.114 + 169.630i −0.594799 + 0.205862i
\(825\) −279.746 + 144.219i −0.339086 + 0.174811i
\(826\) 541.852 + 625.330i 0.655995 + 0.757058i
\(827\) 539.845 + 104.047i 0.652774 + 0.125812i 0.504878 0.863191i \(-0.331538\pi\)
0.147897 + 0.989003i \(0.452750\pi\)
\(828\) 171.030 + 50.2190i 0.206558 + 0.0606509i
\(829\) −46.4553 + 101.723i −0.0560377 + 0.122705i −0.935579 0.353116i \(-0.885122\pi\)
0.879542 + 0.475822i \(0.157849\pi\)
\(830\) −174.773 + 166.646i −0.210570 + 0.200778i
\(831\) −386.177 + 600.904i −0.464714 + 0.723109i
\(832\) −531.800 378.693i −0.639183 0.455160i
\(833\) −363.489 + 629.581i −0.436361 + 0.755800i
\(834\) −3.93892 + 2.27414i −0.00472293 + 0.00272678i
\(835\) −80.2410 + 840.321i −0.0960970 + 1.00637i
\(836\) −306.849 1592.08i −0.367044 1.90441i
\(837\) 88.0307 + 69.2281i 0.105174 + 0.0827098i
\(838\) −221.642 + 281.841i −0.264490 + 0.336326i
\(839\) −432.701 + 83.3962i −0.515734 + 0.0993995i −0.440476 0.897765i \(-0.645190\pi\)
−0.0752580 + 0.997164i \(0.523978\pi\)
\(840\) −847.034 80.8819i −1.00837 0.0962880i
\(841\) −996.196 1725.46i −1.18454 2.05168i
\(842\) 264.719 + 152.835i 0.314393 + 0.181515i
\(843\) 408.939 574.275i 0.485100 0.681228i
\(844\) 284.623 + 182.916i 0.337232 + 0.216726i
\(845\) 332.159 + 348.358i 0.393087 + 0.412258i
\(846\) 80.6504 + 36.8318i 0.0953315 + 0.0435364i
\(847\) −694.508 + 2365.28i −0.819962 + 2.79253i
\(848\) −3.83382 + 19.8917i −0.00452101 + 0.0234572i
\(849\) −460.816 + 399.299i −0.542775 + 0.470317i
\(850\) 68.3766 + 132.632i 0.0804431 + 0.156038i
\(851\) 109.616 + 316.714i 0.128808 + 0.372166i
\(852\) 119.181 + 297.701i 0.139884 + 0.349414i
\(853\) 392.942 + 374.669i 0.460659 + 0.439237i 0.884529 0.466486i \(-0.154480\pi\)
−0.423870 + 0.905723i \(0.639329\pi\)
\(854\) −797.453 + 193.460i −0.933785 + 0.226534i
\(855\) −284.638 + 552.122i −0.332910 + 0.645756i
\(856\) 329.215 + 47.3340i 0.384598 + 0.0552968i
\(857\) −24.2679 82.6488i −0.0283172 0.0964396i 0.944122 0.329596i \(-0.106913\pi\)
−0.972439 + 0.233157i \(0.925094\pi\)
\(858\) 647.698 61.8477i 0.754893 0.0720835i
\(859\) 664.059 + 932.541i 0.773061 + 1.08561i 0.993898 + 0.110301i \(0.0351816\pi\)
−0.220838 + 0.975311i \(0.570879\pi\)
\(860\) −0.294374 6.17967i −0.000342295 0.00718566i
\(861\) −164.034 56.7728i −0.190516 0.0659382i
\(862\) 873.970 125.658i 1.01389 0.145775i
\(863\) −329.086 720.597i −0.381328 0.834991i −0.998827 0.0484197i \(-0.984581\pi\)
0.617499 0.786571i \(-0.288146\pi\)
\(864\) −153.244 61.3498i −0.177366 0.0710067i
\(865\) −479.913 22.8611i −0.554813 0.0264290i
\(866\) −437.859 + 281.395i −0.505611 + 0.324936i
\(867\) −226.813 55.0242i −0.261606 0.0634650i
\(868\) −355.909 + 410.740i −0.410033 + 0.473203i
\(869\) −36.8887 + 29.0096i −0.0424496 + 0.0333827i
\(870\) 679.085i 0.780558i
\(871\) −1055.61 + 108.097i −1.21196 + 0.124107i
\(872\) 1675.10 1.92099
\(873\) −213.829 271.906i −0.244936 0.311461i
\(874\) −814.088 705.411i −0.931451 0.807107i
\(875\) 221.528 913.152i 0.253175 1.04360i
\(876\) −68.3291 106.322i −0.0780012 0.121372i
\(877\) −40.7360 + 855.153i −0.0464492 + 0.975089i 0.848576 + 0.529074i \(0.177460\pi\)
−0.895025 + 0.446016i \(0.852843\pi\)
\(878\) −114.135 + 285.096i −0.129994 + 0.324710i
\(879\) −54.6508 + 24.9582i −0.0621738 + 0.0283938i
\(880\) 5.70265 + 39.6628i 0.00648028 + 0.0450713i
\(881\) −32.7669 + 94.6738i −0.0371929 + 0.107462i −0.962068 0.272808i \(-0.912048\pi\)
0.924876 + 0.380270i \(0.124169\pi\)
\(882\) 219.657 10.4636i 0.249044 0.0118634i
\(883\) −322.929 + 229.957i −0.365718 + 0.260426i −0.748112 0.663573i \(-0.769039\pi\)
0.382394 + 0.923999i \(0.375100\pi\)
\(884\) 45.4680 + 476.163i 0.0514344 + 0.538645i
\(885\) 622.806 182.872i 0.703736 0.206635i
\(886\) 41.7924 290.672i 0.0471697 0.328073i
\(887\) 858.152 + 442.408i 0.967476 + 0.498769i 0.868158 0.496287i \(-0.165304\pi\)
0.0993178 + 0.995056i \(0.468334\pi\)
\(888\) −45.1137 185.961i −0.0508037 0.209416i
\(889\) 1534.79 1609.65i 1.72643 1.81063i
\(890\) −4.60492 + 1.84353i −0.00517407 + 0.00207138i
\(891\) 161.084 55.7518i 0.180790 0.0625722i
\(892\) 776.033 400.073i 0.869993 0.448512i
\(893\) 544.064 + 627.884i 0.609255 + 0.703117i
\(894\) 240.229 + 46.3003i 0.268713 + 0.0517901i
\(895\) 283.830 + 83.3400i 0.317128 + 0.0931173i
\(896\) 325.016 711.685i 0.362741 0.794291i
\(897\) −485.096 + 462.538i −0.540798 + 0.515650i
\(898\) 56.3229 87.6401i 0.0627204 0.0975948i
\(899\) 934.513 + 665.464i 1.03950 + 0.740226i
\(900\) −34.9955 + 60.6139i −0.0388838 + 0.0673488i
\(901\) 605.746 349.728i 0.672304 0.388155i
\(902\) −21.7890 + 228.184i −0.0241563 + 0.252976i
\(903\) 1.47032 + 7.62874i 0.00162826 + 0.00844822i
\(904\) −618.558 486.439i −0.684245 0.538096i
\(905\) −1040.74 + 1323.41i −1.14999 + 1.46233i
\(906\) 473.409 91.2421i 0.522527 0.100709i
\(907\) −1030.35 98.3866i −1.13600 0.108475i −0.489936 0.871759i \(-0.662980\pi\)
−0.646063 + 0.763284i \(0.723586\pi\)
\(908\) −309.605 536.251i −0.340974 0.590585i
\(909\) 5.15313 + 2.97516i 0.00566901 + 0.00327300i
\(910\) 701.695 985.393i 0.771094 1.08285i
\(911\) 555.563 + 357.039i 0.609838 + 0.391919i 0.808796 0.588089i \(-0.200119\pi\)
−0.198958 + 0.980008i \(0.563756\pi\)
\(912\) 15.1355 + 15.8737i 0.0165960 + 0.0174054i
\(913\) 564.845 + 257.956i 0.618669 + 0.282537i
\(914\) 9.13419 31.1082i 0.00999365 0.0340352i
\(915\) −121.826 + 632.095i −0.133144 + 0.690814i
\(916\) −99.3169 + 86.0586i −0.108425 + 0.0939504i
\(917\) 345.737 + 670.636i 0.377031 + 0.731337i
\(918\) −26.4328 76.3727i −0.0287939 0.0831946i
\(919\) −206.650 516.187i −0.224864 0.561683i 0.772438 0.635090i \(-0.219037\pi\)
−0.997302 + 0.0734071i \(0.976613\pi\)
\(920\) −837.742 798.786i −0.910590 0.868245i
\(921\) −175.427 + 42.5582i −0.190475 + 0.0462087i
\(922\) 165.198 320.439i 0.179173 0.347548i
\(923\) −1193.53 171.604i −1.29310 0.185920i
\(924\) 233.059 + 793.725i 0.252228 + 0.859010i
\(925\) −131.001 + 12.5091i −0.141623 + 0.0135233i
\(926\) −69.4201 97.4869i −0.0749677 0.105277i
\(927\) −9.19159 192.955i −0.00991542 0.208150i
\(928\) −1597.97 553.062i −1.72195 0.595972i
\(929\) 555.865 79.9213i 0.598347 0.0860294i 0.163515 0.986541i \(-0.447717\pi\)
0.434832 + 0.900511i \(0.356808\pi\)
\(930\) −114.223 250.113i −0.122820 0.268939i
\(931\) 1913.01 + 765.855i 2.05479 + 0.822615i
\(932\) 469.109 + 22.3464i 0.503336 + 0.0239768i
\(933\) 289.124 185.809i 0.309886 0.199152i
\(934\) −553.580 134.297i −0.592698 0.143787i
\(935\) 906.030 1045.61i 0.969016 1.11830i
\(936\) 300.820 236.567i 0.321388 0.252743i
\(937\) 1634.01i 1.74387i −0.489618 0.871937i \(-0.662864\pi\)
0.489618 0.871937i \(-0.337136\pi\)
\(938\) 250.838 + 833.133i 0.267418 + 0.888202i
\(939\) 92.9484 0.0989866
\(940\) 208.655 + 265.326i 0.221973 + 0.282262i
\(941\) −554.287 480.293i −0.589041 0.510407i 0.308567 0.951203i \(-0.400151\pi\)
−0.897607 + 0.440796i \(0.854696\pi\)
\(942\) −155.806 + 642.241i −0.165399 + 0.681785i
\(943\) −127.665 198.650i −0.135381 0.210658i
\(944\) 1.09053 22.8931i 0.00115522 0.0242512i
\(945\) 117.789 294.222i 0.124644 0.311346i
\(946\) 9.33240 4.26196i 0.00986511 0.00450525i
\(947\) 160.421 + 1115.75i 0.169399 + 1.17820i 0.880129 + 0.474734i \(0.157456\pi\)
−0.710730 + 0.703465i \(0.751635\pi\)
\(948\) −3.41333 + 9.86216i −0.00360056 + 0.0104031i
\(949\) 474.703 22.6129i 0.500214 0.0238281i
\(950\) 344.537 245.344i 0.362671 0.258257i
\(951\) −34.3525 359.755i −0.0361225 0.378292i
\(952\) 995.328 292.255i 1.04551 0.306990i
\(953\) 85.0961 591.856i 0.0892929 0.621046i −0.895206 0.445653i \(-0.852971\pi\)
0.984499 0.175392i \(-0.0561194\pi\)
\(954\) −188.061 96.9520i −0.197128 0.101627i
\(955\) 271.732 + 1120.10i 0.284536 + 1.17287i
\(956\) −160.685 + 168.521i −0.168080 + 0.176277i
\(957\) 1621.11 648.995i 1.69395 0.678155i
\(958\) 672.779 232.851i 0.702275 0.243060i
\(959\) −262.954 + 135.562i −0.274196 + 0.141358i
\(960\) 275.000 + 317.367i 0.286458 + 0.330590i
\(961\) 487.512 + 93.9602i 0.507297 + 0.0977734i
\(962\) 261.029 + 76.6449i 0.271340 + 0.0796725i
\(963\) −51.4623 + 112.687i −0.0534396 + 0.117016i
\(964\) 428.453 408.529i 0.444453 0.423785i
\(965\) −166.044 + 258.369i −0.172066 + 0.267740i
\(966\) 447.679 + 318.791i 0.463436 + 0.330011i
\(967\) 409.185 708.729i 0.423149 0.732915i −0.573097 0.819488i \(-0.694258\pi\)
0.996246 + 0.0865725i \(0.0275914\pi\)
\(968\) 1658.20 957.360i 1.71301 0.989008i
\(969\) 71.9856 753.868i 0.0742886 0.777985i
\(970\) 160.729 + 833.941i 0.165700 + 0.859733i
\(971\) −1298.04 1020.79i −1.33681 1.05128i −0.993711 0.111979i \(-0.964281\pi\)
−0.343099 0.939299i \(-0.611476\pi\)
\(972\) 23.4326 29.7969i 0.0241076 0.0306553i
\(973\) 21.3515 4.11517i 0.0219440 0.00422937i
\(974\) 188.868 + 18.0347i 0.193909 + 0.0185161i
\(975\) −131.592 227.924i −0.134966 0.233768i
\(976\) 19.6842 + 11.3647i 0.0201683 + 0.0116442i
\(977\) −339.662 + 476.989i −0.347658 + 0.488218i −0.950968 0.309289i \(-0.899909\pi\)
0.603310 + 0.797507i \(0.293848\pi\)
\(978\) −192.388 123.641i −0.196716 0.126422i
\(979\) 8.80174 + 9.23100i 0.00899054 + 0.00942901i
\(980\) 761.535 + 347.781i 0.777077 + 0.354879i
\(981\) −175.777 + 598.642i −0.179182 + 0.610237i
\(982\) −120.110 + 623.188i −0.122311 + 0.634611i
\(983\) 611.245 529.647i 0.621816 0.538806i −0.285971 0.958238i \(-0.592316\pi\)
0.907787 + 0.419432i \(0.137771\pi\)
\(984\) 61.7800 + 119.836i 0.0627845 + 0.121785i
\(985\) 326.811 + 944.258i 0.331788 + 0.958638i
\(986\) −307.699 768.595i −0.312068 0.779508i
\(987\) −306.777 292.511i −0.310817 0.296364i
\(988\) 1317.60 319.647i 1.33361 0.323530i
\(989\) −4.84298 + 9.39407i −0.00489685 + 0.00949856i
\(990\) −414.254 59.5608i −0.418439 0.0601624i
\(991\) 541.341 + 1843.64i 0.546257 + 1.86038i 0.508443 + 0.861095i \(0.330221\pi\)
0.0378135 + 0.999285i \(0.487961\pi\)
\(992\) 681.572 65.0823i 0.687069 0.0656071i
\(993\) 298.159 + 418.706i 0.300261 + 0.421657i
\(994\) 47.0442 + 987.579i 0.0473282 + 0.993540i
\(995\) −1212.90 419.789i −1.21899 0.421898i
\(996\) 136.684 19.6523i 0.137233 0.0197312i
\(997\) 634.765 + 1389.94i 0.636675 + 1.39412i 0.902747 + 0.430171i \(0.141547\pi\)
−0.266072 + 0.963953i \(0.585726\pi\)
\(998\) −241.276 96.5924i −0.241760 0.0967860i
\(999\) 71.1920 + 3.39130i 0.0712633 + 0.00339469i
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.n.b.13.8 240
67.31 odd 66 inner 201.3.n.b.31.8 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
201.3.n.b.13.8 240 1.1 even 1 trivial
201.3.n.b.31.8 yes 240 67.31 odd 66 inner