Properties

Label 230.3.k.a.3.8
Level $230$
Weight $3$
Character 230.3
Analytic conductor $6.267$
Analytic rank $0$
Dimension $240$
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] = [230,3,Mod(3,230)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(230, base_ring=CyclotomicField(44))
 
chi = DirichletCharacter(H, H._module([33, 32]))
 
N = Newforms(chi, 3, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("230.3");
 
S:= CuspForms(chi, 3);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 230.k (of order \(44\), 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: \(6.26704608029\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 3.8
Character \(\chi\) \(=\) 230.3
Dual form 230.3.k.a.77.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.13214 - 0.847507i) q^{2} +(1.09130 - 0.407033i) q^{3} +(0.563465 + 1.91899i) q^{4} +(-4.93104 - 0.827554i) q^{5} +(-1.58046 - 0.464066i) q^{6} +(0.600939 - 2.76247i) q^{7} +(0.988434 - 2.65009i) q^{8} +(-5.77649 + 5.00536i) q^{9} +O(q^{10})\) \(q+(-1.13214 - 0.847507i) q^{2} +(1.09130 - 0.407033i) q^{3} +(0.563465 + 1.91899i) q^{4} +(-4.93104 - 0.827554i) q^{5} +(-1.58046 - 0.464066i) q^{6} +(0.600939 - 2.76247i) q^{7} +(0.988434 - 2.65009i) q^{8} +(-5.77649 + 5.00536i) q^{9} +(4.88125 + 5.11599i) q^{10} +(0.858626 - 5.97188i) q^{11} +(1.39600 + 1.86484i) q^{12} +(4.64745 + 21.3640i) q^{13} +(-3.02156 + 2.61819i) q^{14} +(-5.71808 + 1.10399i) q^{15} +(-3.36501 + 2.16256i) q^{16} +(-24.2736 + 13.2544i) q^{17} +(10.7818 - 0.771133i) q^{18} +(-3.09895 - 10.5541i) q^{19} +(-1.19040 - 9.92889i) q^{20} +(-0.468614 - 3.25928i) q^{21} +(-6.03329 + 6.03329i) q^{22} +(-22.3034 + 5.61763i) q^{23} -3.29437i q^{24} +(23.6303 + 8.16140i) q^{25} +(12.8446 - 28.1257i) q^{26} +(-9.29031 + 17.0139i) q^{27} +(5.63975 - 0.403363i) q^{28} +(-8.30519 + 28.2849i) q^{29} +(7.40928 + 3.59624i) q^{30} +(2.05217 + 4.49364i) q^{31} +(5.64244 + 0.403555i) q^{32} +(-1.49374 - 6.86659i) q^{33} +(38.7142 + 5.56626i) q^{34} +(-5.24935 + 13.1245i) q^{35} +(-12.8601 - 8.26466i) q^{36} +(-13.2179 - 0.945361i) q^{37} +(-5.43620 + 14.5750i) q^{38} +(13.7676 + 21.4228i) q^{39} +(-7.06710 + 12.2497i) q^{40} +(-0.304445 + 0.351348i) q^{41} +(-2.23173 + 4.08711i) q^{42} +(-59.0054 + 22.0079i) q^{43} +(11.9438 - 1.71725i) q^{44} +(32.6263 - 19.9013i) q^{45} +(30.0115 + 12.5424i) q^{46} +(42.8922 - 42.8922i) q^{47} +(-2.79200 + 3.72968i) q^{48} +(37.3018 + 17.0352i) q^{49} +(-19.8359 - 29.2667i) q^{50} +(-21.0948 + 24.3446i) q^{51} +(-38.3785 + 20.9562i) q^{52} +(-34.5685 - 7.51991i) q^{53} +(24.9373 - 11.3885i) q^{54} +(-9.17597 + 28.7370i) q^{55} +(-6.72682 - 4.32307i) q^{56} +(-7.67774 - 10.2563i) q^{57} +(33.3742 - 24.9836i) q^{58} +(-5.36430 + 8.34701i) q^{59} +(-5.34048 - 10.3509i) q^{60} +(-3.71219 - 8.12856i) q^{61} +(1.48504 - 6.82664i) q^{62} +(10.3558 + 18.9653i) q^{63} +(-6.04600 - 5.23889i) q^{64} +(-5.23692 - 109.193i) q^{65} +(-4.12837 + 9.03987i) q^{66} +(20.1320 + 15.0706i) q^{67} +(-39.1123 - 39.1123i) q^{68} +(-22.0531 + 15.2087i) q^{69} +(17.0661 - 10.4099i) q^{70} +(-8.80880 - 61.2665i) q^{71} +(7.55499 + 20.2557i) q^{72} +(-76.3110 - 41.6689i) q^{73} +(14.1632 + 12.2725i) q^{74} +(29.1097 - 0.711798i) q^{75} +(18.5070 - 11.8937i) q^{76} +(-15.9812 - 5.96066i) q^{77} +(2.56917 - 35.9217i) q^{78} +(68.5299 - 106.635i) q^{79} +(18.3827 - 7.87896i) q^{80} +(6.57665 - 45.7416i) q^{81} +(0.642443 - 0.139755i) q^{82} +(9.66915 - 135.192i) q^{83} +(5.99047 - 2.73576i) q^{84} +(130.663 - 45.2702i) q^{85} +(85.4540 + 25.0916i) q^{86} +(2.44945 + 34.2477i) q^{87} +(-14.9773 - 8.17825i) q^{88} +(7.24681 + 3.30951i) q^{89} +(-53.8039 - 5.12007i) q^{90} +61.8102 q^{91} +(-23.3473 - 39.6346i) q^{92} +(4.06860 + 4.06860i) q^{93} +(-84.9112 + 12.2084i) q^{94} +(6.54701 + 54.6071i) q^{95} +(6.32185 - 1.85626i) q^{96} +(4.52214 + 63.2278i) q^{97} +(-27.7933 - 50.8997i) q^{98} +(24.9315 + 38.7942i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 24 q^{2} - 4 q^{5} - 74 q^{7} + 48 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 24 q^{2} - 4 q^{5} - 74 q^{7} + 48 q^{8} - 16 q^{10} + 8 q^{11} + 44 q^{12} + 24 q^{13} + 24 q^{15} + 96 q^{16} + 12 q^{17} + 88 q^{18} - 24 q^{20} + 24 q^{21} + 8 q^{22} - 44 q^{23} - 128 q^{25} + 48 q^{26} - 60 q^{27} - 116 q^{28} + 120 q^{30} - 12 q^{31} + 96 q^{32} - 334 q^{33} - 224 q^{35} - 176 q^{36} + 188 q^{37} + 76 q^{38} - 16 q^{40} - 116 q^{41} + 24 q^{42} + 120 q^{43} + 204 q^{45} + 396 q^{46} - 144 q^{47} - 88 q^{48} + 170 q^{50} - 176 q^{51} + 48 q^{52} + 192 q^{53} - 312 q^{55} + 296 q^{56} + 88 q^{57} - 28 q^{58} - 72 q^{60} - 552 q^{61} - 12 q^{62} - 122 q^{63} - 392 q^{65} - 8 q^{66} - 72 q^{67} - 24 q^{68} + 100 q^{70} + 424 q^{71} - 176 q^{72} + 452 q^{73} + 604 q^{75} - 112 q^{76} + 356 q^{77} + 32 q^{78} + 16 q^{80} - 704 q^{81} + 148 q^{82} - 360 q^{83} + 428 q^{85} - 376 q^{86} - 462 q^{87} - 104 q^{88} - 510 q^{90} + 432 q^{91} - 192 q^{93} - 166 q^{95} - 1042 q^{97} - 88 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{8}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.13214 0.847507i −0.566068 0.423753i
\(3\) 1.09130 0.407033i 0.363766 0.135678i −0.160933 0.986965i \(-0.551450\pi\)
0.524700 + 0.851287i \(0.324178\pi\)
\(4\) 0.563465 + 1.91899i 0.140866 + 0.479746i
\(5\) −4.93104 0.827554i −0.986208 0.165511i
\(6\) −1.58046 0.464066i −0.263410 0.0773443i
\(7\) 0.600939 2.76247i 0.0858484 0.394639i −0.914093 0.405506i \(-0.867095\pi\)
0.999941 + 0.0108668i \(0.00345909\pi\)
\(8\) 0.988434 2.65009i 0.123554 0.331262i
\(9\) −5.77649 + 5.00536i −0.641832 + 0.556151i
\(10\) 4.88125 + 5.11599i 0.488125 + 0.511599i
\(11\) 0.858626 5.97188i 0.0780569 0.542898i −0.912844 0.408308i \(-0.866119\pi\)
0.990901 0.134590i \(-0.0429718\pi\)
\(12\) 1.39600 + 1.86484i 0.116333 + 0.155403i
\(13\) 4.64745 + 21.3640i 0.357496 + 1.64338i 0.707557 + 0.706656i \(0.249797\pi\)
−0.350061 + 0.936727i \(0.613839\pi\)
\(14\) −3.02156 + 2.61819i −0.215826 + 0.187014i
\(15\) −5.71808 + 1.10399i −0.381205 + 0.0735993i
\(16\) −3.36501 + 2.16256i −0.210313 + 0.135160i
\(17\) −24.2736 + 13.2544i −1.42786 + 0.779669i −0.992691 0.120681i \(-0.961492\pi\)
−0.435166 + 0.900350i \(0.643310\pi\)
\(18\) 10.7818 0.771133i 0.598991 0.0428407i
\(19\) −3.09895 10.5541i −0.163103 0.555477i −0.999967 0.00806740i \(-0.997432\pi\)
0.836865 0.547410i \(-0.184386\pi\)
\(20\) −1.19040 9.92889i −0.0595202 0.496445i
\(21\) −0.468614 3.25928i −0.0223150 0.155204i
\(22\) −6.03329 + 6.03329i −0.274240 + 0.274240i
\(23\) −22.3034 + 5.61763i −0.969714 + 0.244245i
\(24\) 3.29437i 0.137265i
\(25\) 23.6303 + 8.16140i 0.945212 + 0.326456i
\(26\) 12.8446 28.1257i 0.494022 1.08176i
\(27\) −9.29031 + 17.0139i −0.344086 + 0.630146i
\(28\) 5.63975 0.403363i 0.201420 0.0144058i
\(29\) −8.30519 + 28.2849i −0.286386 + 0.975341i 0.683127 + 0.730300i \(0.260620\pi\)
−0.969513 + 0.245041i \(0.921199\pi\)
\(30\) 7.40928 + 3.59624i 0.246976 + 0.119875i
\(31\) 2.05217 + 4.49364i 0.0661992 + 0.144956i 0.939840 0.341616i \(-0.110974\pi\)
−0.873640 + 0.486572i \(0.838247\pi\)
\(32\) 5.64244 + 0.403555i 0.176326 + 0.0126111i
\(33\) −1.49374 6.86659i −0.0452647 0.208079i
\(34\) 38.7142 + 5.56626i 1.13865 + 0.163713i
\(35\) −5.24935 + 13.1245i −0.149981 + 0.374987i
\(36\) −12.8601 8.26466i −0.357224 0.229574i
\(37\) −13.2179 0.945361i −0.357240 0.0255503i −0.108434 0.994104i \(-0.534584\pi\)
−0.248806 + 0.968553i \(0.580038\pi\)
\(38\) −5.43620 + 14.5750i −0.143058 + 0.383553i
\(39\) 13.7676 + 21.4228i 0.353016 + 0.549303i
\(40\) −7.06710 + 12.2497i −0.176678 + 0.306243i
\(41\) −0.304445 + 0.351348i −0.00742549 + 0.00856947i −0.759450 0.650565i \(-0.774532\pi\)
0.752025 + 0.659135i \(0.229077\pi\)
\(42\) −2.23173 + 4.08711i −0.0531364 + 0.0973121i
\(43\) −59.0054 + 22.0079i −1.37222 + 0.511811i −0.924096 0.382161i \(-0.875180\pi\)
−0.448123 + 0.893972i \(0.647907\pi\)
\(44\) 11.9438 1.71725i 0.271449 0.0390285i
\(45\) 32.6263 19.9013i 0.725029 0.442250i
\(46\) 30.0115 + 12.5424i 0.652424 + 0.272660i
\(47\) 42.8922 42.8922i 0.912600 0.912600i −0.0838764 0.996476i \(-0.526730\pi\)
0.996476 + 0.0838764i \(0.0267301\pi\)
\(48\) −2.79200 + 3.72968i −0.0581667 + 0.0777016i
\(49\) 37.3018 + 17.0352i 0.761262 + 0.347657i
\(50\) −19.8359 29.2667i −0.396718 0.585333i
\(51\) −21.0948 + 24.3446i −0.413623 + 0.477346i
\(52\) −38.3785 + 20.9562i −0.738048 + 0.403005i
\(53\) −34.5685 7.51991i −0.652236 0.141885i −0.125740 0.992063i \(-0.540131\pi\)
−0.526495 + 0.850178i \(0.676494\pi\)
\(54\) 24.9373 11.3885i 0.461802 0.210898i
\(55\) −9.17597 + 28.7370i −0.166836 + 0.522491i
\(56\) −6.72682 4.32307i −0.120122 0.0771976i
\(57\) −7.67774 10.2563i −0.134697 0.179934i
\(58\) 33.3742 24.9836i 0.575418 0.430752i
\(59\) −5.36430 + 8.34701i −0.0909203 + 0.141475i −0.883734 0.467989i \(-0.844979\pi\)
0.792814 + 0.609464i \(0.208615\pi\)
\(60\) −5.34048 10.3509i −0.0890080 0.172514i
\(61\) −3.71219 8.12856i −0.0608556 0.133255i 0.876761 0.480927i \(-0.159700\pi\)
−0.937616 + 0.347672i \(0.886972\pi\)
\(62\) 1.48504 6.82664i 0.0239523 0.110107i
\(63\) 10.3558 + 18.9653i 0.164378 + 0.301037i
\(64\) −6.04600 5.23889i −0.0944687 0.0818576i
\(65\) −5.23692 109.193i −0.0805679 1.67989i
\(66\) −4.12837 + 9.03987i −0.0625510 + 0.136968i
\(67\) 20.1320 + 15.0706i 0.300477 + 0.224934i 0.738868 0.673850i \(-0.235361\pi\)
−0.438391 + 0.898784i \(0.644452\pi\)
\(68\) −39.1123 39.1123i −0.575181 0.575181i
\(69\) −22.0531 + 15.2087i −0.319610 + 0.220417i
\(70\) 17.0661 10.4099i 0.243802 0.148713i
\(71\) −8.80880 61.2665i −0.124068 0.862909i −0.952872 0.303371i \(-0.901888\pi\)
0.828805 0.559538i \(-0.189021\pi\)
\(72\) 7.55499 + 20.2557i 0.104930 + 0.281329i
\(73\) −76.3110 41.6689i −1.04536 0.570807i −0.137679 0.990477i \(-0.543964\pi\)
−0.907677 + 0.419670i \(0.862146\pi\)
\(74\) 14.1632 + 12.2725i 0.191395 + 0.165845i
\(75\) 29.1097 0.711798i 0.388129 0.00949064i
\(76\) 18.5070 11.8937i 0.243513 0.156496i
\(77\) −15.9812 5.96066i −0.207548 0.0774112i
\(78\) 2.56917 35.9217i 0.0329381 0.460534i
\(79\) 68.5299 106.635i 0.867468 1.34981i −0.0684747 0.997653i \(-0.521813\pi\)
0.935942 0.352153i \(-0.114550\pi\)
\(80\) 18.3827 7.87896i 0.229783 0.0984869i
\(81\) 6.57665 45.7416i 0.0811932 0.564711i
\(82\) 0.642443 0.139755i 0.00783467 0.00170433i
\(83\) 9.66915 135.192i 0.116496 1.62882i −0.517637 0.855600i \(-0.673188\pi\)
0.634133 0.773224i \(-0.281357\pi\)
\(84\) 5.99047 2.73576i 0.0713151 0.0325685i
\(85\) 130.663 45.2702i 1.53721 0.532590i
\(86\) 85.4540 + 25.0916i 0.993651 + 0.291762i
\(87\) 2.44945 + 34.2477i 0.0281546 + 0.393652i
\(88\) −14.9773 8.17825i −0.170197 0.0929346i
\(89\) 7.24681 + 3.30951i 0.0814248 + 0.0371855i 0.455711 0.890128i \(-0.349385\pi\)
−0.374286 + 0.927313i \(0.622112\pi\)
\(90\) −53.8039 5.12007i −0.597821 0.0568897i
\(91\) 61.8102 0.679233
\(92\) −23.3473 39.6346i −0.253776 0.430811i
\(93\) 4.06860 + 4.06860i 0.0437483 + 0.0437483i
\(94\) −84.9112 + 12.2084i −0.903311 + 0.129876i
\(95\) 6.54701 + 54.6071i 0.0689159 + 0.574811i
\(96\) 6.32185 1.85626i 0.0658526 0.0193361i
\(97\) 4.52214 + 63.2278i 0.0466200 + 0.651833i 0.966013 + 0.258493i \(0.0832259\pi\)
−0.919393 + 0.393340i \(0.871320\pi\)
\(98\) −27.7933 50.8997i −0.283606 0.519385i
\(99\) 24.9315 + 38.7942i 0.251834 + 0.391861i
\(100\) −2.34676 + 49.9449i −0.0234676 + 0.499449i
\(101\) −89.3578 103.124i −0.884731 1.02103i −0.999618 0.0276553i \(-0.991196\pi\)
0.114887 0.993379i \(-0.463350\pi\)
\(102\) 44.5144 9.68351i 0.436415 0.0949364i
\(103\) −93.5217 + 70.0095i −0.907978 + 0.679703i −0.947582 0.319512i \(-0.896481\pi\)
0.0396047 + 0.999215i \(0.487390\pi\)
\(104\) 61.2102 + 8.80070i 0.588560 + 0.0846222i
\(105\) −0.386477 + 16.4595i −0.00368073 + 0.156757i
\(106\) 32.7631 + 37.8106i 0.309085 + 0.356704i
\(107\) 75.5595 + 28.1822i 0.706164 + 0.263385i 0.676783 0.736183i \(-0.263374\pi\)
0.0293811 + 0.999568i \(0.490646\pi\)
\(108\) −37.8843 8.24122i −0.350780 0.0763076i
\(109\) 11.0597 37.6658i 0.101465 0.345558i −0.893076 0.449906i \(-0.851457\pi\)
0.994541 + 0.104348i \(0.0332756\pi\)
\(110\) 34.7432 24.7575i 0.315848 0.225068i
\(111\) −14.8094 + 4.34845i −0.133418 + 0.0391752i
\(112\) 3.95185 + 10.5953i 0.0352844 + 0.0946011i
\(113\) −130.004 + 173.665i −1.15048 + 1.53686i −0.350778 + 0.936459i \(0.614083\pi\)
−0.799700 + 0.600400i \(0.795008\pi\)
\(114\) 18.1184i 0.158934i
\(115\) 114.628 9.24349i 0.996764 0.0803781i
\(116\) −58.9580 −0.508258
\(117\) −133.780 100.147i −1.14342 0.855954i
\(118\) 13.1473 4.90368i 0.111418 0.0415566i
\(119\) 22.0279 + 75.0202i 0.185108 + 0.630421i
\(120\) −2.72627 + 16.2447i −0.0227189 + 0.135372i
\(121\) 81.1726 + 23.8344i 0.670848 + 0.196979i
\(122\) −2.68630 + 12.3487i −0.0220189 + 0.101219i
\(123\) −0.189230 + 0.507345i −0.00153845 + 0.00412476i
\(124\) −7.46690 + 6.47010i −0.0602169 + 0.0521782i
\(125\) −109.768 59.7995i −0.878144 0.478396i
\(126\) 4.34900 30.2479i 0.0345159 0.240063i
\(127\) 94.2670 + 125.926i 0.742260 + 0.991543i 0.999681 + 0.0252437i \(0.00803616\pi\)
−0.257422 + 0.966299i \(0.582873\pi\)
\(128\) 2.40490 + 11.0552i 0.0187883 + 0.0863684i
\(129\) −55.4346 + 48.0343i −0.429725 + 0.372359i
\(130\) −86.6126 + 128.059i −0.666251 + 0.985071i
\(131\) −39.1011 + 25.1287i −0.298481 + 0.191822i −0.681306 0.731999i \(-0.738588\pi\)
0.382825 + 0.923821i \(0.374951\pi\)
\(132\) 12.3352 6.73554i 0.0934487 0.0510268i
\(133\) −31.0176 + 2.21842i −0.233215 + 0.0166799i
\(134\) −10.0197 34.1239i −0.0747738 0.254656i
\(135\) 59.8909 76.2082i 0.443636 0.564505i
\(136\) 11.1325 + 77.4283i 0.0818567 + 0.569326i
\(137\) −138.885 + 138.885i −1.01376 + 1.01376i −0.0138519 + 0.999904i \(0.504409\pi\)
−0.999904 + 0.0138519i \(0.995591\pi\)
\(138\) 37.8567 + 1.47179i 0.274324 + 0.0106652i
\(139\) 254.900i 1.83381i 0.399103 + 0.916906i \(0.369322\pi\)
−0.399103 + 0.916906i \(0.630678\pi\)
\(140\) −28.1436 2.67820i −0.201026 0.0191300i
\(141\) 29.3496 64.2667i 0.208153 0.455792i
\(142\) −41.9510 + 76.8276i −0.295430 + 0.541039i
\(143\) 131.573 9.41032i 0.920094 0.0658064i
\(144\) 8.61357 29.3351i 0.0598164 0.203716i
\(145\) 64.3605 132.601i 0.443865 0.914489i
\(146\) 51.0797 + 111.849i 0.349861 + 0.766089i
\(147\) 47.6413 + 3.40738i 0.324091 + 0.0231794i
\(148\) −5.63368 25.8976i −0.0380654 0.174984i
\(149\) 120.489 + 17.3237i 0.808650 + 0.116266i 0.534225 0.845342i \(-0.320603\pi\)
0.274425 + 0.961608i \(0.411512\pi\)
\(150\) −33.5594 23.8648i −0.223729 0.159099i
\(151\) 34.4197 + 22.1202i 0.227945 + 0.146491i 0.649629 0.760252i \(-0.274924\pi\)
−0.421684 + 0.906743i \(0.638561\pi\)
\(152\) −31.0324 2.21948i −0.204160 0.0146018i
\(153\) 73.8732 198.062i 0.482831 1.29452i
\(154\) 13.0411 + 20.2924i 0.0846828 + 0.131769i
\(155\) −6.40063 23.8566i −0.0412944 0.153913i
\(156\) −33.3525 + 38.4908i −0.213798 + 0.246736i
\(157\) 93.1025 170.504i 0.593009 1.08602i −0.393034 0.919524i \(-0.628574\pi\)
0.986043 0.166491i \(-0.0532438\pi\)
\(158\) −167.959 + 62.6454i −1.06303 + 0.396490i
\(159\) −40.7854 + 5.86405i −0.256512 + 0.0368808i
\(160\) −27.4891 6.65937i −0.171807 0.0416211i
\(161\) 2.11556 + 64.9884i 0.0131401 + 0.403655i
\(162\) −46.2119 + 46.2119i −0.285259 + 0.285259i
\(163\) 33.1774 44.3199i 0.203543 0.271901i −0.687142 0.726523i \(-0.741135\pi\)
0.890684 + 0.454622i \(0.150226\pi\)
\(164\) −0.845777 0.386253i −0.00515717 0.00235520i
\(165\) 1.68320 + 35.0956i 0.0102012 + 0.212700i
\(166\) −125.523 + 144.862i −0.756164 + 0.872660i
\(167\) −272.055 + 148.553i −1.62907 + 0.889540i −0.636044 + 0.771653i \(0.719430\pi\)
−0.993027 + 0.117887i \(0.962388\pi\)
\(168\) −9.10060 1.97972i −0.0541703 0.0117840i
\(169\) −281.093 + 128.371i −1.66327 + 0.759591i
\(170\) −186.295 59.4855i −1.09585 0.349915i
\(171\) 70.7280 + 45.4541i 0.413614 + 0.265813i
\(172\) −75.4803 100.830i −0.438839 0.586220i
\(173\) 94.4603 70.7121i 0.546013 0.408740i −0.290346 0.956922i \(-0.593770\pi\)
0.836360 + 0.548181i \(0.184680\pi\)
\(174\) 26.2521 40.8490i 0.150874 0.234765i
\(175\) 36.7460 60.3736i 0.209977 0.344992i
\(176\) 10.0253 + 21.9523i 0.0569618 + 0.124729i
\(177\) −2.45654 + 11.2925i −0.0138788 + 0.0637996i
\(178\) −5.39955 9.88853i −0.0303345 0.0555535i
\(179\) 8.90418 + 7.71552i 0.0497440 + 0.0431034i 0.679378 0.733788i \(-0.262250\pi\)
−0.629634 + 0.776892i \(0.716795\pi\)
\(180\) 56.5740 + 51.3958i 0.314300 + 0.285532i
\(181\) 10.4365 22.8528i 0.0576604 0.126259i −0.878609 0.477543i \(-0.841528\pi\)
0.936269 + 0.351284i \(0.114255\pi\)
\(182\) −69.9776 52.3846i −0.384492 0.287827i
\(183\) −7.35970 7.35970i −0.0402170 0.0402170i
\(184\) −7.15820 + 64.6588i −0.0389033 + 0.351407i
\(185\) 64.3956 + 15.6001i 0.348084 + 0.0843250i
\(186\) −1.15804 8.05437i −0.00622604 0.0433030i
\(187\) 58.3116 + 156.339i 0.311827 + 0.836040i
\(188\) 106.478 + 58.1413i 0.566371 + 0.309262i
\(189\) 41.4176 + 35.8886i 0.219141 + 0.189887i
\(190\) 38.8678 67.3713i 0.204567 0.354586i
\(191\) 237.121 152.388i 1.24147 0.797845i 0.255834 0.966721i \(-0.417650\pi\)
0.985637 + 0.168876i \(0.0540137\pi\)
\(192\) −8.73039 3.25627i −0.0454708 0.0169597i
\(193\) −23.3532 + 326.521i −0.121001 + 1.69182i 0.468035 + 0.883710i \(0.344962\pi\)
−0.589036 + 0.808107i \(0.700492\pi\)
\(194\) 48.4663 75.4150i 0.249826 0.388737i
\(195\) −50.1601 117.030i −0.257231 0.600155i
\(196\) −11.6720 + 81.1804i −0.0595510 + 0.414186i
\(197\) 295.878 64.3643i 1.50192 0.326722i 0.614955 0.788562i \(-0.289174\pi\)
0.886963 + 0.461840i \(0.152811\pi\)
\(198\) 4.65247 65.0500i 0.0234973 0.328535i
\(199\) −188.486 + 86.0788i −0.947168 + 0.432557i −0.828257 0.560348i \(-0.810667\pi\)
−0.118910 + 0.992905i \(0.537940\pi\)
\(200\) 44.9855 54.5555i 0.224927 0.272778i
\(201\) 28.1042 + 8.25214i 0.139822 + 0.0410554i
\(202\) 13.7666 + 192.482i 0.0681515 + 0.952882i
\(203\) 73.1453 + 39.9403i 0.360322 + 0.196750i
\(204\) −58.6032 26.7632i −0.287270 0.131192i
\(205\) 1.79199 1.48057i 0.00874141 0.00722228i
\(206\) 165.213 0.802004
\(207\) 100.717 144.087i 0.486556 0.696071i
\(208\) −61.8397 61.8397i −0.297306 0.297306i
\(209\) −65.6884 + 9.44457i −0.314299 + 0.0451893i
\(210\) 14.3870 18.3068i 0.0685098 0.0871753i
\(211\) −63.2407 + 18.5691i −0.299719 + 0.0880054i −0.428135 0.903715i \(-0.640829\pi\)
0.128416 + 0.991720i \(0.459011\pi\)
\(212\) −5.04753 70.5736i −0.0238091 0.332895i
\(213\) −34.5506 63.2746i −0.162209 0.297064i
\(214\) −61.6590 95.9433i −0.288126 0.448333i
\(215\) 309.171 59.6916i 1.43800 0.277635i
\(216\) 35.9057 + 41.4374i 0.166230 + 0.191840i
\(217\) 13.6468 2.96867i 0.0628884 0.0136805i
\(218\) −44.4431 + 33.2697i −0.203868 + 0.152613i
\(219\) −100.239 14.4121i −0.457711 0.0658089i
\(220\) −60.3162 1.41626i −0.274165 0.00643753i
\(221\) −395.976 456.981i −1.79175 2.06779i
\(222\) 20.4517 + 7.62807i 0.0921246 + 0.0343607i
\(223\) −175.847 38.2531i −0.788550 0.171539i −0.199782 0.979840i \(-0.564023\pi\)
−0.588768 + 0.808302i \(0.700387\pi\)
\(224\) 4.50557 15.3446i 0.0201142 0.0685026i
\(225\) −177.351 + 71.1339i −0.788226 + 0.316151i
\(226\) 294.364 86.4332i 1.30250 0.382448i
\(227\) 54.9193 + 147.244i 0.241935 + 0.648654i 0.999994 0.00353286i \(-0.00112455\pi\)
−0.758058 + 0.652187i \(0.773852\pi\)
\(228\) 15.3555 20.5125i 0.0673486 0.0899672i
\(229\) 123.654i 0.539975i −0.962864 0.269988i \(-0.912980\pi\)
0.962864 0.269988i \(-0.0870196\pi\)
\(230\) −137.608 86.6830i −0.598297 0.376883i
\(231\) −19.8664 −0.0860018
\(232\) 66.7485 + 49.9673i 0.287709 + 0.215376i
\(233\) 14.2418 5.31192i 0.0611236 0.0227979i −0.318716 0.947850i \(-0.603252\pi\)
0.379840 + 0.925052i \(0.375979\pi\)
\(234\) 66.5825 + 226.759i 0.284541 + 0.969057i
\(235\) −246.999 + 176.007i −1.05106 + 0.748968i
\(236\) −19.0404 5.59076i −0.0806796 0.0236897i
\(237\) 31.3828 144.264i 0.132417 0.608710i
\(238\) 38.6415 103.602i 0.162359 0.435302i
\(239\) 63.2273 54.7867i 0.264549 0.229233i −0.512478 0.858700i \(-0.671272\pi\)
0.777027 + 0.629467i \(0.216727\pi\)
\(240\) 16.8540 16.0806i 0.0702249 0.0670027i
\(241\) 23.8385 165.801i 0.0989150 0.687969i −0.878670 0.477429i \(-0.841569\pi\)
0.977585 0.210540i \(-0.0675222\pi\)
\(242\) −71.6986 95.7781i −0.296275 0.395777i
\(243\) −48.5268 223.074i −0.199699 0.917999i
\(244\) 13.5069 11.7038i 0.0553562 0.0479664i
\(245\) −169.839 114.870i −0.693222 0.468859i
\(246\) 0.644212 0.414010i 0.00261875 0.00168297i
\(247\) 211.075 115.255i 0.854553 0.466621i
\(248\) 13.9370 0.996794i 0.0561976 0.00401933i
\(249\) −44.4759 151.471i −0.178618 0.608317i
\(250\) 73.5918 + 160.730i 0.294367 + 0.642921i
\(251\) 29.1560 + 202.784i 0.116159 + 0.807905i 0.961722 + 0.274028i \(0.0883562\pi\)
−0.845562 + 0.533877i \(0.820735\pi\)
\(252\) −30.5590 + 30.5590i −0.121266 + 0.121266i
\(253\) 14.3975 + 138.017i 0.0569071 + 0.545520i
\(254\) 222.457i 0.875816i
\(255\) 124.166 102.587i 0.486924 0.402303i
\(256\) 6.64664 14.5541i 0.0259634 0.0568520i
\(257\) −126.995 + 232.575i −0.494145 + 0.904959i 0.504980 + 0.863131i \(0.331500\pi\)
−0.999125 + 0.0418280i \(0.986682\pi\)
\(258\) 103.469 7.40024i 0.401042 0.0286831i
\(259\) −10.5547 + 35.9459i −0.0407516 + 0.138787i
\(260\) 206.588 71.5758i 0.794570 0.275292i
\(261\) −93.6011 204.958i −0.358625 0.785279i
\(262\) 65.5645 + 4.68927i 0.250246 + 0.0178980i
\(263\) 60.4811 + 278.027i 0.229966 + 1.05714i 0.936829 + 0.349787i \(0.113746\pi\)
−0.706863 + 0.707350i \(0.749890\pi\)
\(264\) −19.6736 2.82863i −0.0745211 0.0107145i
\(265\) 164.235 + 65.6883i 0.619756 + 0.247880i
\(266\) 36.9963 + 23.7761i 0.139084 + 0.0893837i
\(267\) 9.25551 + 0.661967i 0.0346648 + 0.00247928i
\(268\) −17.5766 + 47.1247i −0.0655844 + 0.175838i
\(269\) −18.1293 28.2097i −0.0673950 0.104869i 0.805920 0.592024i \(-0.201671\pi\)
−0.873315 + 0.487155i \(0.838035\pi\)
\(270\) −132.392 + 35.5201i −0.490339 + 0.131556i
\(271\) −250.995 + 289.663i −0.926180 + 1.06887i 0.0712668 + 0.997457i \(0.477296\pi\)
−0.997447 + 0.0714116i \(0.977250\pi\)
\(272\) 53.0175 97.0943i 0.194917 0.356964i
\(273\) 67.4534 25.1588i 0.247082 0.0921568i
\(274\) 274.942 39.5307i 1.00344 0.144273i
\(275\) 69.0285 134.110i 0.251013 0.487672i
\(276\) −41.6115 33.7500i −0.150766 0.122283i
\(277\) 35.3760 35.3760i 0.127711 0.127711i −0.640362 0.768073i \(-0.721216\pi\)
0.768073 + 0.640362i \(0.221216\pi\)
\(278\) 216.029 288.581i 0.777084 1.03806i
\(279\) −34.3466 15.6856i −0.123106 0.0562207i
\(280\) 29.5927 + 26.8840i 0.105688 + 0.0960143i
\(281\) −144.466 + 166.723i −0.514114 + 0.593319i −0.952147 0.305640i \(-0.901130\pi\)
0.438034 + 0.898959i \(0.355675\pi\)
\(282\) −87.6943 + 47.8847i −0.310973 + 0.169804i
\(283\) 83.0210 + 18.0601i 0.293360 + 0.0638167i 0.356837 0.934167i \(-0.383855\pi\)
−0.0634765 + 0.997983i \(0.520219\pi\)
\(284\) 112.606 51.4255i 0.396501 0.181076i
\(285\) 29.3716 + 56.9278i 0.103058 + 0.199747i
\(286\) −156.934 100.856i −0.548722 0.352642i
\(287\) 0.787637 + 1.05216i 0.00274438 + 0.00366606i
\(288\) −34.6134 + 25.9113i −0.120186 + 0.0899698i
\(289\) 257.283 400.340i 0.890252 1.38526i
\(290\) −185.245 + 95.5763i −0.638776 + 0.329574i
\(291\) 30.6708 + 67.1598i 0.105398 + 0.230790i
\(292\) 36.9635 169.919i 0.126587 0.581913i
\(293\) 112.021 + 205.151i 0.382324 + 0.700173i 0.995997 0.0893865i \(-0.0284906\pi\)
−0.613673 + 0.789560i \(0.710309\pi\)
\(294\) −51.0487 44.2340i −0.173635 0.150456i
\(295\) 33.3592 36.7202i 0.113082 0.124475i
\(296\) −15.5703 + 34.0942i −0.0526024 + 0.115183i
\(297\) 93.6282 + 70.0892i 0.315247 + 0.235991i
\(298\) −121.728 121.728i −0.408483 0.408483i
\(299\) −223.669 450.382i −0.748056 1.50629i
\(300\) 17.7682 + 55.4600i 0.0592274 + 0.184867i
\(301\) 25.3375 + 176.226i 0.0841777 + 0.585469i
\(302\) −20.2208 54.2140i −0.0669562 0.179517i
\(303\) −139.491 76.1679i −0.460367 0.251379i
\(304\) 33.2519 + 28.8129i 0.109381 + 0.0947793i
\(305\) 11.5781 + 43.1543i 0.0379611 + 0.141489i
\(306\) −251.493 + 161.625i −0.821873 + 0.528186i
\(307\) 372.920 + 139.092i 1.21472 + 0.453068i 0.873459 0.486899i \(-0.161872\pi\)
0.341265 + 0.939967i \(0.389145\pi\)
\(308\) 2.43361 34.0262i 0.00790132 0.110475i
\(309\) −73.5639 + 114.468i −0.238071 + 0.370446i
\(310\) −12.9722 + 32.4335i −0.0418459 + 0.104624i
\(311\) −48.0893 + 334.468i −0.154628 + 1.07546i 0.753705 + 0.657213i \(0.228265\pi\)
−0.908333 + 0.418248i \(0.862644\pi\)
\(312\) 70.3808 15.3104i 0.225580 0.0490718i
\(313\) −13.3495 + 186.650i −0.0426501 + 0.596326i 0.930520 + 0.366240i \(0.119355\pi\)
−0.973170 + 0.230086i \(0.926099\pi\)
\(314\) −249.908 + 114.129i −0.795886 + 0.363469i
\(315\) −35.3702 102.089i −0.112287 0.324091i
\(316\) 243.245 + 71.4231i 0.769762 + 0.226022i
\(317\) −22.0601 308.440i −0.0695902 0.972998i −0.905559 0.424221i \(-0.860548\pi\)
0.835969 0.548777i \(-0.184906\pi\)
\(318\) 51.1445 + 27.9270i 0.160832 + 0.0878207i
\(319\) 161.783 + 73.8837i 0.507156 + 0.231610i
\(320\) 25.4776 + 30.8365i 0.0796175 + 0.0963642i
\(321\) 93.9291 0.292614
\(322\) 52.6830 75.3687i 0.163612 0.234064i
\(323\) 215.110 + 215.110i 0.665976 + 0.665976i
\(324\) 91.4832 13.1533i 0.282355 0.0405966i
\(325\) −64.5393 + 542.767i −0.198583 + 1.67005i
\(326\) −75.1228 + 22.0580i −0.230438 + 0.0676627i
\(327\) −3.26183 45.6063i −0.00997502 0.139469i
\(328\) 0.630182 + 1.15409i 0.00192129 + 0.00351857i
\(329\) −92.7129 144.264i −0.281802 0.438493i
\(330\) 27.8381 41.1595i 0.0843580 0.124726i
\(331\) −360.931 416.536i −1.09043 1.25842i −0.963846 0.266461i \(-0.914146\pi\)
−0.126579 0.991956i \(-0.540400\pi\)
\(332\) 264.881 57.6212i 0.797833 0.173558i
\(333\) 81.0848 60.6993i 0.243498 0.182280i
\(334\) 433.903 + 62.3858i 1.29911 + 0.186784i
\(335\) −86.7998 90.9740i −0.259104 0.271564i
\(336\) 8.62530 + 9.95413i 0.0256705 + 0.0296254i
\(337\) −341.979 127.551i −1.01477 0.378491i −0.213599 0.976921i \(-0.568518\pi\)
−0.801175 + 0.598431i \(0.795791\pi\)
\(338\) 427.031 + 92.8948i 1.26340 + 0.274837i
\(339\) −71.1857 + 242.436i −0.209987 + 0.715151i
\(340\) 160.497 + 225.232i 0.472049 + 0.662446i
\(341\) 28.5975 8.39698i 0.0838636 0.0246246i
\(342\) −41.5510 111.403i −0.121494 0.325739i
\(343\) 152.491 203.705i 0.444581 0.593891i
\(344\) 178.123i 0.517800i
\(345\) 121.331 56.7448i 0.351684 0.164478i
\(346\) −166.871 −0.482286
\(347\) −473.315 354.319i −1.36402 1.02109i −0.995819 0.0913453i \(-0.970883\pi\)
−0.368200 0.929747i \(-0.620026\pi\)
\(348\) −64.3408 + 23.9979i −0.184887 + 0.0689594i
\(349\) −10.2157 34.7915i −0.0292714 0.0996892i 0.943562 0.331197i \(-0.107452\pi\)
−0.972833 + 0.231508i \(0.925634\pi\)
\(350\) −92.7685 + 37.2086i −0.265053 + 0.106310i
\(351\) −406.662 119.407i −1.15858 0.340190i
\(352\) 7.25473 33.3495i 0.0206100 0.0947428i
\(353\) −102.801 + 275.619i −0.291220 + 0.780790i 0.706133 + 0.708079i \(0.250438\pi\)
−0.997353 + 0.0727114i \(0.976835\pi\)
\(354\) 12.3516 10.7028i 0.0348916 0.0302338i
\(355\) −7.26482 + 309.397i −0.0204643 + 0.871542i
\(356\) −2.26757 + 15.7713i −0.00636959 + 0.0443014i
\(357\) 54.5747 + 72.9033i 0.152870 + 0.204211i
\(358\) −3.54179 16.2814i −0.00989328 0.0454787i
\(359\) −157.668 + 136.620i −0.439187 + 0.380557i −0.846200 0.532865i \(-0.821115\pi\)
0.407014 + 0.913422i \(0.366570\pi\)
\(360\) −20.4913 106.134i −0.0569202 0.294816i
\(361\) 201.908 129.758i 0.559301 0.359441i
\(362\) −31.1835 + 17.0275i −0.0861422 + 0.0470372i
\(363\) 98.2849 7.02948i 0.270757 0.0193649i
\(364\) 34.8279 + 118.613i 0.0956810 + 0.325860i
\(365\) 341.809 + 268.623i 0.936463 + 0.735952i
\(366\) 2.09479 + 14.5696i 0.00572347 + 0.0398076i
\(367\) 285.298 285.298i 0.777378 0.777378i −0.202006 0.979384i \(-0.564746\pi\)
0.979384 + 0.202006i \(0.0647461\pi\)
\(368\) 62.9028 67.1359i 0.170932 0.182435i
\(369\) 3.55342i 0.00962985i
\(370\) −59.6833 72.2371i −0.161306 0.195235i
\(371\) −41.5471 + 90.9755i −0.111987 + 0.245217i
\(372\) −5.51507 + 10.1001i −0.0148254 + 0.0271508i
\(373\) −180.386 + 12.9015i −0.483609 + 0.0345884i −0.311016 0.950405i \(-0.600669\pi\)
−0.172593 + 0.984993i \(0.555215\pi\)
\(374\) 66.4820 226.417i 0.177759 0.605393i
\(375\) −144.130 20.5799i −0.384347 0.0548798i
\(376\) −71.2722 156.064i −0.189554 0.415065i
\(377\) −642.875 45.9794i −1.70524 0.121961i
\(378\) −16.4746 75.7324i −0.0435836 0.200350i
\(379\) −535.914 77.0528i −1.41402 0.203306i −0.607410 0.794388i \(-0.707792\pi\)
−0.806611 + 0.591083i \(0.798701\pi\)
\(380\) −101.101 + 43.3328i −0.266056 + 0.114034i
\(381\) 154.129 + 99.0530i 0.404539 + 0.259982i
\(382\) −397.603 28.4372i −1.04085 0.0744428i
\(383\) 34.0714 91.3491i 0.0889594 0.238509i −0.884850 0.465877i \(-0.845739\pi\)
0.973809 + 0.227367i \(0.0730118\pi\)
\(384\) 7.12428 + 11.0856i 0.0185528 + 0.0288688i
\(385\) 73.8710 + 42.6175i 0.191873 + 0.110695i
\(386\) 303.167 349.874i 0.785408 0.906409i
\(387\) 230.687 422.471i 0.596090 1.09166i
\(388\) −118.785 + 44.3046i −0.306147 + 0.114187i
\(389\) 581.061 83.5439i 1.49373 0.214766i 0.653471 0.756952i \(-0.273312\pi\)
0.840258 + 0.542186i \(0.182403\pi\)
\(390\) −42.3958 + 175.005i −0.108707 + 0.448731i
\(391\) 466.925 431.978i 1.19418 1.10480i
\(392\) 82.0152 82.0152i 0.209223 0.209223i
\(393\) −32.4427 + 43.3384i −0.0825514 + 0.110276i
\(394\) −389.523 177.889i −0.988638 0.451496i
\(395\) −426.170 + 469.108i −1.07891 + 1.18761i
\(396\) −60.3975 + 69.7024i −0.152519 + 0.176016i
\(397\) −77.2611 + 42.1877i −0.194612 + 0.106266i −0.573601 0.819135i \(-0.694454\pi\)
0.378988 + 0.925401i \(0.376272\pi\)
\(398\) 286.345 + 62.2905i 0.719459 + 0.156509i
\(399\) −32.9465 + 15.0462i −0.0825727 + 0.0377097i
\(400\) −97.1659 + 23.6388i −0.242915 + 0.0590970i
\(401\) −14.4899 9.31208i −0.0361344 0.0232221i 0.522449 0.852671i \(-0.325019\pi\)
−0.558583 + 0.829448i \(0.688655\pi\)
\(402\) −24.8241 33.1611i −0.0617514 0.0824902i
\(403\) −86.4646 + 64.7266i −0.214552 + 0.160612i
\(404\) 147.544 229.583i 0.365209 0.568276i
\(405\) −70.2833 + 220.111i −0.173539 + 0.543484i
\(406\) −48.9607 107.209i −0.120593 0.264062i
\(407\) −16.9948 + 78.1238i −0.0417563 + 0.191950i
\(408\) 43.6648 + 79.9661i 0.107022 + 0.195995i
\(409\) −287.104 248.777i −0.701966 0.608257i 0.228972 0.973433i \(-0.426463\pi\)
−0.930939 + 0.365176i \(0.881009\pi\)
\(410\) −3.28357 + 0.157481i −0.00800870 + 0.000384100i
\(411\) −95.0339 + 208.095i −0.231226 + 0.506314i
\(412\) −187.043 140.019i −0.453989 0.339852i
\(413\) 19.8348 + 19.8348i 0.0480261 + 0.0480261i
\(414\) −236.140 + 77.7673i −0.570387 + 0.187844i
\(415\) −159.558 + 658.637i −0.384477 + 1.58708i
\(416\) 17.6014 + 122.420i 0.0423111 + 0.294280i
\(417\) 103.753 + 278.172i 0.248808 + 0.667079i
\(418\) 82.3726 + 44.9789i 0.197064 + 0.107605i
\(419\) 486.598 + 421.640i 1.16133 + 1.00630i 0.999811 + 0.0194308i \(0.00618541\pi\)
0.161521 + 0.986869i \(0.448360\pi\)
\(420\) −31.8032 + 8.53269i −0.0757220 + 0.0203159i
\(421\) 5.56162 3.57423i 0.0132105 0.00848987i −0.534019 0.845473i \(-0.679319\pi\)
0.547229 + 0.836983i \(0.315683\pi\)
\(422\) 87.3346 + 32.5741i 0.206954 + 0.0771898i
\(423\) −33.0756 + 462.457i −0.0781928 + 1.09328i
\(424\) −54.0971 + 84.1768i −0.127588 + 0.198530i
\(425\) −681.767 + 115.099i −1.60416 + 0.270820i
\(426\) −14.5097 + 100.917i −0.0340604 + 0.236895i
\(427\) −24.6857 + 5.37005i −0.0578120 + 0.0125762i
\(428\) −11.5062 + 160.877i −0.0268836 + 0.375882i
\(429\) 139.756 63.8243i 0.325771 0.148774i
\(430\) −400.612 194.445i −0.931657 0.452198i
\(431\) 55.0890 + 16.1756i 0.127817 + 0.0375303i 0.345015 0.938597i \(-0.387874\pi\)
−0.217199 + 0.976127i \(0.569692\pi\)
\(432\) −5.53168 77.3430i −0.0128048 0.179035i
\(433\) 246.080 + 134.370i 0.568314 + 0.310323i 0.737593 0.675245i \(-0.235962\pi\)
−0.169280 + 0.985568i \(0.554144\pi\)
\(434\) −17.9660 8.20479i −0.0413963 0.0189050i
\(435\) 16.2635 170.904i 0.0373874 0.392883i
\(436\) 78.5120 0.180073
\(437\) 128.406 + 217.983i 0.293836 + 0.498817i
\(438\) 101.269 + 101.269i 0.231209 + 0.231209i
\(439\) −358.144 + 51.4933i −0.815817 + 0.117297i −0.537577 0.843215i \(-0.680660\pi\)
−0.278240 + 0.960512i \(0.589751\pi\)
\(440\) 67.0859 + 52.7218i 0.152468 + 0.119822i
\(441\) −300.741 + 88.3055i −0.681952 + 0.200239i
\(442\) 61.0047 + 852.958i 0.138020 + 1.92977i
\(443\) 117.234 + 214.699i 0.264637 + 0.484647i 0.975882 0.218297i \(-0.0700502\pi\)
−0.711245 + 0.702944i \(0.751868\pi\)
\(444\) −16.6892 25.9689i −0.0375883 0.0584886i
\(445\) −32.9955 22.3164i −0.0741472 0.0501493i
\(446\) 166.663 + 192.339i 0.373683 + 0.431253i
\(447\) 138.541 30.1377i 0.309934 0.0674221i
\(448\) −18.1055 + 13.5536i −0.0404142 + 0.0302537i
\(449\) −112.815 16.2203i −0.251258 0.0361255i 0.0155348 0.999879i \(-0.495055\pi\)
−0.266793 + 0.963754i \(0.585964\pi\)
\(450\) 261.072 + 69.7729i 0.580160 + 0.155051i
\(451\) 1.83680 + 2.11978i 0.00407274 + 0.00470019i
\(452\) −406.513 151.622i −0.899366 0.335446i
\(453\) 46.5658 + 10.1298i 0.102794 + 0.0223615i
\(454\) 62.6145 213.245i 0.137917 0.469703i
\(455\) −304.789 51.1513i −0.669865 0.112420i
\(456\) −34.7690 + 10.2091i −0.0762478 + 0.0223884i
\(457\) 65.1524 + 174.680i 0.142565 + 0.382233i 0.988534 0.151001i \(-0.0482495\pi\)
−0.845968 + 0.533233i \(0.820977\pi\)
\(458\) −104.798 + 139.994i −0.228816 + 0.305663i
\(459\) 536.127i 1.16803i
\(460\) 82.3270 + 214.761i 0.178972 + 0.466872i
\(461\) −83.8733 −0.181938 −0.0909689 0.995854i \(-0.528996\pi\)
−0.0909689 + 0.995854i \(0.528996\pi\)
\(462\) 22.4915 + 16.8369i 0.0486829 + 0.0364435i
\(463\) 621.714 231.887i 1.34280 0.500837i 0.427644 0.903947i \(-0.359344\pi\)
0.915151 + 0.403111i \(0.132071\pi\)
\(464\) −33.2208 113.140i −0.0715965 0.243835i
\(465\) −16.6954 23.4294i −0.0359041 0.0503858i
\(466\) −20.6255 6.05621i −0.0442608 0.0129961i
\(467\) 33.5063 154.026i 0.0717480 0.329820i −0.927257 0.374426i \(-0.877840\pi\)
0.999005 + 0.0446061i \(0.0142033\pi\)
\(468\) 116.799 313.152i 0.249572 0.669127i
\(469\) 53.7302 46.5575i 0.114563 0.0992697i
\(470\) 428.804 + 10.0685i 0.912348 + 0.0214224i
\(471\) 32.2016 223.967i 0.0683686 0.475514i
\(472\) 16.8181 + 22.4664i 0.0356316 + 0.0475982i
\(473\) 80.7648 + 371.270i 0.170750 + 0.784925i
\(474\) −157.794 + 136.730i −0.332900 + 0.288459i
\(475\) 12.9067 274.688i 0.0271721 0.578290i
\(476\) −131.551 + 84.5425i −0.276367 + 0.177610i
\(477\) 237.324 129.589i 0.497535 0.271675i
\(478\) −118.014 + 8.44053i −0.246891 + 0.0176580i
\(479\) 150.148 + 511.358i 0.313462 + 1.06755i 0.954045 + 0.299664i \(0.0968746\pi\)
−0.640583 + 0.767889i \(0.721307\pi\)
\(480\) −32.7094 + 3.92163i −0.0681447 + 0.00817007i
\(481\) −41.2327 286.780i −0.0857229 0.596216i
\(482\) −167.506 + 167.506i −0.347522 + 0.347522i
\(483\) 28.7612 + 70.0607i 0.0595469 + 0.145053i
\(484\) 169.199i 0.349584i
\(485\) 30.0255 315.521i 0.0619083 0.650559i
\(486\) −134.118 + 293.677i −0.275962 + 0.604273i
\(487\) 175.959 322.244i 0.361311 0.661692i −0.632278 0.774741i \(-0.717880\pi\)
0.993589 + 0.113049i \(0.0360619\pi\)
\(488\) −25.2107 + 1.80311i −0.0516613 + 0.00369489i
\(489\) 18.1668 61.8705i 0.0371510 0.126525i
\(490\) 94.9278 + 273.989i 0.193730 + 0.559161i
\(491\) 79.7521 + 174.633i 0.162428 + 0.355668i 0.973293 0.229565i \(-0.0737304\pi\)
−0.810865 + 0.585233i \(0.801003\pi\)
\(492\) −1.08021 0.0772583i −0.00219555 0.000157029i
\(493\) −173.302 796.656i −0.351525 1.61593i
\(494\) −336.645 48.4023i −0.681468 0.0979803i
\(495\) −90.8341 211.928i −0.183503 0.428137i
\(496\) −16.6234 10.6832i −0.0335149 0.0215387i
\(497\) −174.541 12.4834i −0.351188 0.0251175i
\(498\) −78.0199 + 209.179i −0.156666 + 0.420039i
\(499\) 179.621 + 279.496i 0.359963 + 0.560113i 0.973250 0.229747i \(-0.0737897\pi\)
−0.613288 + 0.789860i \(0.710153\pi\)
\(500\) 52.9040 244.338i 0.105808 0.488676i
\(501\) −236.427 + 272.851i −0.471910 + 0.544613i
\(502\) 138.852 254.289i 0.276598 0.506552i
\(503\) 292.905 109.248i 0.582317 0.217193i −0.0410043 0.999159i \(-0.513056\pi\)
0.623321 + 0.781966i \(0.285783\pi\)
\(504\) 60.4959 8.69800i 0.120032 0.0172579i
\(505\) 355.286 + 582.459i 0.703537 + 1.15338i
\(506\) 100.670 168.456i 0.198953 0.332916i
\(507\) −254.505 + 254.505i −0.501982 + 0.501982i
\(508\) −188.534 + 251.852i −0.371130 + 0.495771i
\(509\) 811.103 + 370.418i 1.59352 + 0.727737i 0.997184 0.0749958i \(-0.0238943\pi\)
0.596339 + 0.802733i \(0.296622\pi\)
\(510\) −227.516 + 10.9117i −0.446109 + 0.0213956i
\(511\) −160.967 + 185.766i −0.315005 + 0.363535i
\(512\) −19.8596 + 10.8442i −0.0387883 + 0.0211800i
\(513\) 208.357 + 45.3252i 0.406153 + 0.0883532i
\(514\) 340.884 155.677i 0.663199 0.302873i
\(515\) 519.096 267.825i 1.00795 0.520049i
\(516\) −123.413 79.3125i −0.239172 0.153706i
\(517\) −219.319 292.975i −0.424214 0.566683i
\(518\) 42.4137 31.7505i 0.0818798 0.0612944i
\(519\) 74.3022 115.617i 0.143164 0.222768i
\(520\) −294.547 94.0514i −0.566437 0.180868i
\(521\) 235.781 + 516.288i 0.452554 + 0.990956i 0.989122 + 0.147098i \(0.0469934\pi\)
−0.536567 + 0.843857i \(0.680279\pi\)
\(522\) −67.7339 + 311.368i −0.129758 + 0.596490i
\(523\) −273.387 500.671i −0.522728 0.957305i −0.997035 0.0769459i \(-0.975483\pi\)
0.474307 0.880360i \(-0.342699\pi\)
\(524\) −70.2538 60.8752i −0.134072 0.116174i
\(525\) 15.5268 80.8424i 0.0295749 0.153986i
\(526\) 167.157 366.023i 0.317789 0.695861i
\(527\) −109.374 81.8763i −0.207541 0.155363i
\(528\) 19.8759 + 19.8759i 0.0376437 + 0.0376437i
\(529\) 465.884 250.585i 0.880689 0.473695i
\(530\) −130.266 213.559i −0.245784 0.402941i
\(531\) −10.7930 75.0667i −0.0203257 0.141368i
\(532\) −21.7345 58.2723i −0.0408542 0.109534i
\(533\) −8.92109 4.87128i −0.0167375 0.00913937i
\(534\) −9.91748 8.59354i −0.0185721 0.0160928i
\(535\) −349.265 201.497i −0.652831 0.376631i
\(536\) 59.8376 38.4553i 0.111637 0.0717450i
\(537\) 12.8576 + 4.79563i 0.0239434 + 0.00893042i
\(538\) −3.38310 + 47.3019i −0.00628829 + 0.0879217i
\(539\) 133.760 208.135i 0.248164 0.386151i
\(540\) 179.989 + 71.9891i 0.333313 + 0.133313i
\(541\) 27.7450 192.971i 0.0512847 0.356693i −0.947979 0.318332i \(-0.896877\pi\)
0.999264 0.0383606i \(-0.0122136\pi\)
\(542\) 529.652 115.219i 0.977218 0.212581i
\(543\) 2.08751 29.1872i 0.00384441 0.0537518i
\(544\) −142.311 + 64.9913i −0.261601 + 0.119469i
\(545\) −85.7063 + 176.579i −0.157259 + 0.323999i
\(546\) −97.6887 28.6840i −0.178917 0.0525348i
\(547\) −40.2658 562.990i −0.0736121 1.02923i −0.891254 0.453505i \(-0.850173\pi\)
0.817642 0.575727i \(-0.195281\pi\)
\(548\) −344.774 188.261i −0.629150 0.343542i
\(549\) 62.1298 + 28.3737i 0.113169 + 0.0516825i
\(550\) −191.809 + 93.3284i −0.348743 + 0.169688i
\(551\) 324.258 0.588490
\(552\) 18.5066 + 73.4757i 0.0335264 + 0.133108i
\(553\) −253.393 253.393i −0.458215 0.458215i
\(554\) −70.0318 + 10.0691i −0.126411 + 0.0181752i
\(555\) 76.6246 9.18675i 0.138062 0.0165527i
\(556\) −489.149 + 143.627i −0.879765 + 0.258322i
\(557\) 70.1605 + 980.972i 0.125961 + 1.76117i 0.531467 + 0.847079i \(0.321641\pi\)
−0.405506 + 0.914092i \(0.632905\pi\)
\(558\) 25.5914 + 46.8672i 0.0458628 + 0.0839914i
\(559\) −744.400 1158.31i −1.33166 2.07211i
\(560\) −10.7185 55.5163i −0.0191402 0.0991363i
\(561\) 127.271 + 146.878i 0.226864 + 0.261815i
\(562\) 304.854 66.3168i 0.542444 0.118001i
\(563\) 379.334 283.966i 0.673772 0.504379i −0.206744 0.978395i \(-0.566287\pi\)
0.880516 + 0.474016i \(0.157196\pi\)
\(564\) 139.864 + 20.1095i 0.247987 + 0.0356551i
\(565\) 784.772 748.764i 1.38898 1.32525i
\(566\) −78.6850 90.8074i −0.139019 0.160437i
\(567\) −122.408 45.6557i −0.215887 0.0805215i
\(568\) −171.069 37.2138i −0.301178 0.0655172i
\(569\) 66.8425 227.645i 0.117474 0.400078i −0.879672 0.475581i \(-0.842238\pi\)
0.997146 + 0.0755024i \(0.0240561\pi\)
\(570\) 14.9940 89.3427i 0.0263052 0.156742i
\(571\) 243.206 71.4118i 0.425931 0.125064i −0.0617400 0.998092i \(-0.519665\pi\)
0.487670 + 0.873028i \(0.337847\pi\)
\(572\) 92.1953 + 247.185i 0.161181 + 0.432142i
\(573\) 196.743 262.817i 0.343355 0.458669i
\(574\) 1.85872i 0.00323818i
\(575\) −572.884 49.2808i −0.996321 0.0857057i
\(576\) 61.1471 0.106158
\(577\) 315.047 + 235.841i 0.546008 + 0.408736i 0.836358 0.548184i \(-0.184681\pi\)
−0.290350 + 0.956921i \(0.593772\pi\)
\(578\) −630.570 + 235.191i −1.09095 + 0.406904i
\(579\) 107.419 + 365.837i 0.185526 + 0.631843i
\(580\) 290.724 + 48.7909i 0.501249 + 0.0841222i
\(581\) −367.655 107.953i −0.632796 0.185806i
\(582\) 22.1948 102.028i 0.0381354 0.175305i
\(583\) −74.5894 + 199.982i −0.127941 + 0.343022i
\(584\) −185.855 + 161.044i −0.318245 + 0.275761i
\(585\) 576.799 + 604.537i 0.985981 + 1.03340i
\(586\) 47.0438 327.197i 0.0802796 0.558357i
\(587\) −181.815 242.876i −0.309735 0.413758i 0.618481 0.785800i \(-0.287749\pi\)
−0.928216 + 0.372042i \(0.878658\pi\)
\(588\) 20.3055 + 93.3430i 0.0345332 + 0.158747i
\(589\) 41.0666 35.5844i 0.0697225 0.0604149i
\(590\) −68.8878 + 13.3002i −0.116759 + 0.0225426i
\(591\) 296.693 190.673i 0.502018 0.322627i
\(592\) 46.5228 25.4033i 0.0785857 0.0429111i
\(593\) −397.334 + 28.4179i −0.670041 + 0.0479223i −0.402215 0.915545i \(-0.631760\pi\)
−0.267826 + 0.963467i \(0.586305\pi\)
\(594\) −46.5988 158.701i −0.0784492 0.267174i
\(595\) −46.5373 388.157i −0.0782139 0.652364i
\(596\) 34.6474 + 240.978i 0.0581332 + 0.404325i
\(597\) −170.658 + 170.658i −0.285859 + 0.285859i
\(598\) −128.478 + 699.455i −0.214846 + 1.16966i
\(599\) 216.313i 0.361123i −0.983564 0.180561i \(-0.942209\pi\)
0.983564 0.180561i \(-0.0577914\pi\)
\(600\) 26.8867 77.8470i 0.0448111 0.129745i
\(601\) 44.6364 97.7401i 0.0742702 0.162629i −0.868855 0.495066i \(-0.835144\pi\)
0.943125 + 0.332437i \(0.107871\pi\)
\(602\) 120.667 220.986i 0.200444 0.367086i
\(603\) −191.726 + 13.7125i −0.317953 + 0.0227405i
\(604\) −23.0541 + 78.5149i −0.0381690 + 0.129992i
\(605\) −380.541 184.703i −0.628993 0.305294i
\(606\) 93.3702 + 204.452i 0.154076 + 0.337380i
\(607\) −880.123 62.9477i −1.44996 0.103703i −0.675981 0.736919i \(-0.736280\pi\)
−0.773975 + 0.633216i \(0.781734\pi\)
\(608\) −13.2265 60.8013i −0.0217541 0.100002i
\(609\) 96.0804 + 13.8143i 0.157767 + 0.0226835i
\(610\) 23.4655 58.6691i 0.0384681 0.0961788i
\(611\) 1115.69 + 717.008i 1.82600 + 1.17350i
\(612\) 421.703 + 30.1608i 0.689057 + 0.0492823i
\(613\) 272.558 730.755i 0.444629 1.19210i −0.500597 0.865680i \(-0.666886\pi\)
0.945226 0.326416i \(-0.105841\pi\)
\(614\) −304.315 473.523i −0.495627 0.771211i
\(615\) 1.35296 2.34514i 0.00219993 0.00381324i
\(616\) −31.5926 + 36.4599i −0.0512868 + 0.0591881i
\(617\) 547.276 1002.26i 0.886995 1.62441i 0.110867 0.993835i \(-0.464637\pi\)
0.776128 0.630575i \(-0.217181\pi\)
\(618\) 180.296 67.2471i 0.291742 0.108814i
\(619\) −970.995 + 139.608i −1.56865 + 0.225538i −0.871139 0.491036i \(-0.836618\pi\)
−0.697511 + 0.716574i \(0.745709\pi\)
\(620\) 42.1739 25.7251i 0.0680225 0.0414921i
\(621\) 111.628 431.658i 0.179755 0.695102i
\(622\) 337.908 337.908i 0.543260 0.543260i
\(623\) 13.4973 18.0303i 0.0216650 0.0289411i
\(624\) −92.6564 42.3147i −0.148488 0.0678121i
\(625\) 491.783 + 385.713i 0.786853 + 0.617141i
\(626\) 173.301 200.000i 0.276838 0.319488i
\(627\) −67.8415 + 37.0442i −0.108200 + 0.0590817i
\(628\) 379.656 + 82.5890i 0.604547 + 0.131511i
\(629\) 333.375 152.247i 0.530009 0.242047i
\(630\) −46.4769 + 145.555i −0.0737728 + 0.231039i
\(631\) 208.335 + 133.889i 0.330167 + 0.212185i 0.695212 0.718804i \(-0.255310\pi\)
−0.365046 + 0.930990i \(0.618947\pi\)
\(632\) −214.855 287.012i −0.339960 0.454133i
\(633\) −61.4562 + 46.0056i −0.0970873 + 0.0726786i
\(634\) −236.430 + 367.893i −0.372918 + 0.580272i
\(635\) −360.624 698.957i −0.567911 1.10072i
\(636\) −34.2342 74.9624i −0.0538273 0.117865i
\(637\) −190.581 + 876.086i −0.299185 + 1.37533i
\(638\) −120.543 220.758i −0.188939 0.346016i
\(639\) 357.545 + 309.814i 0.559538 + 0.484842i
\(640\) −2.70993 56.5036i −0.00423427 0.0882869i
\(641\) −360.045 + 788.388i −0.561692 + 1.22993i 0.389412 + 0.921064i \(0.372678\pi\)
−0.951104 + 0.308870i \(0.900049\pi\)
\(642\) −106.341 79.6056i −0.165640 0.123996i
\(643\) −493.814 493.814i −0.767985 0.767985i 0.209767 0.977751i \(-0.432730\pi\)
−0.977751 + 0.209767i \(0.932730\pi\)
\(644\) −123.520 + 40.6784i −0.191801 + 0.0631652i
\(645\) 313.101 190.984i 0.485428 0.296099i
\(646\) −61.2268 425.842i −0.0947783 0.659198i
\(647\) 372.434 + 998.535i 0.575633 + 1.54333i 0.819236 + 0.573456i \(0.194398\pi\)
−0.243603 + 0.969875i \(0.578329\pi\)
\(648\) −114.719 62.6413i −0.177035 0.0966686i
\(649\) 45.2414 + 39.2019i 0.0697094 + 0.0604035i
\(650\) 533.066 559.789i 0.820101 0.861213i
\(651\) 13.6844 8.79440i 0.0210205 0.0135091i
\(652\) 103.744 + 38.6943i 0.159116 + 0.0593471i
\(653\) 15.6212 218.413i 0.0239222 0.334477i −0.971371 0.237568i \(-0.923650\pi\)
0.995293 0.0969090i \(-0.0308956\pi\)
\(654\) −34.9588 + 54.3970i −0.0534539 + 0.0831759i
\(655\) 213.604 91.5525i 0.326113 0.139775i
\(656\) 0.264649 1.84067i 0.000403428 0.00280590i
\(657\) 649.377 141.263i 0.988398 0.215013i
\(658\) −17.3011 + 241.901i −0.0262935 + 0.367631i
\(659\) −580.156 + 264.948i −0.880358 + 0.402046i −0.803716 0.595013i \(-0.797147\pi\)
−0.0766418 + 0.997059i \(0.524420\pi\)
\(660\) −66.3995 + 23.0052i −0.100605 + 0.0348563i
\(661\) −522.002 153.274i −0.789715 0.231881i −0.138087 0.990420i \(-0.544095\pi\)
−0.651628 + 0.758539i \(0.725914\pi\)
\(662\) 55.6055 + 777.467i 0.0839963 + 1.17442i
\(663\) −618.135 337.527i −0.932330 0.509091i
\(664\) −348.715 159.253i −0.525174 0.239839i
\(665\) 154.785 + 14.7296i 0.232759 + 0.0221498i
\(666\) −143.242 −0.215078
\(667\) 26.3401 677.505i 0.0394904 1.01575i
\(668\) −438.365 438.365i −0.656235 0.656235i
\(669\) −207.472 + 29.8299i −0.310122 + 0.0445888i
\(670\) 21.1681 + 176.558i 0.0315942 + 0.263520i
\(671\) −51.7301 + 15.1893i −0.0770941 + 0.0226369i
\(672\) −1.32883 18.5794i −0.00197742 0.0276480i
\(673\) 544.774 + 997.680i 0.809471 + 1.48244i 0.874753 + 0.484569i \(0.161024\pi\)
−0.0652815 + 0.997867i \(0.520795\pi\)
\(674\) 279.066 + 434.235i 0.414044 + 0.644265i
\(675\) −358.391 + 326.223i −0.530949 + 0.483293i
\(676\) −404.728 467.081i −0.598710 0.690948i
\(677\) −453.469 + 98.6461i −0.669821 + 0.145711i −0.534600 0.845105i \(-0.679538\pi\)
−0.135220 + 0.990816i \(0.543174\pi\)
\(678\) 286.058 214.141i 0.421915 0.315842i
\(679\) 177.383 + 25.5038i 0.261241 + 0.0375608i
\(680\) 9.18124 391.015i 0.0135018 0.575022i
\(681\) 119.867 + 138.334i 0.176016 + 0.203133i
\(682\) −39.4928 14.7300i −0.0579073 0.0215983i
\(683\) 243.118 + 52.8870i 0.355956 + 0.0774334i 0.386987 0.922085i \(-0.373516\pi\)
−0.0310318 + 0.999518i \(0.509879\pi\)
\(684\) −47.3730 + 161.338i −0.0692588 + 0.235874i
\(685\) 799.780 569.911i 1.16756 0.831987i
\(686\) −345.282 + 101.384i −0.503327 + 0.147790i
\(687\) −50.3314 134.944i −0.0732627 0.196425i
\(688\) 150.961 201.660i 0.219419 0.293110i
\(689\) 773.469i 1.12260i
\(690\) −185.455 38.5859i −0.268775 0.0559216i
\(691\) −981.066 −1.41978 −0.709888 0.704314i \(-0.751255\pi\)
−0.709888 + 0.704314i \(0.751255\pi\)
\(692\) 188.921 + 141.424i 0.273007 + 0.204370i
\(693\) 122.150 45.5597i 0.176263 0.0657427i
\(694\) 235.569 + 802.275i 0.339437 + 1.15602i
\(695\) 210.943 1256.92i 0.303516 1.80852i
\(696\) 93.1809 + 27.3604i 0.133881 + 0.0393109i
\(697\) 2.73307 12.5637i 0.00392119 0.0180254i
\(698\) −17.9205 + 48.0466i −0.0256740 + 0.0688347i
\(699\) 13.3799 11.5938i 0.0191415 0.0165862i
\(700\) 136.561 + 36.4967i 0.195087 + 0.0521381i
\(701\) 20.7450 144.285i 0.0295935 0.205827i −0.969660 0.244457i \(-0.921390\pi\)
0.999254 + 0.0386299i \(0.0122993\pi\)
\(702\) 359.198 + 479.833i 0.511679 + 0.683523i
\(703\) 30.9842 + 142.432i 0.0440743 + 0.202606i
\(704\) −36.4772 + 31.6077i −0.0518143 + 0.0448973i
\(705\) −197.908 + 292.613i −0.280721 + 0.415055i
\(706\) 349.973 224.914i 0.495713 0.318575i
\(707\) −338.577 + 184.877i −0.478892 + 0.261495i
\(708\) −23.0544 + 1.64888i −0.0325627 + 0.00232893i
\(709\) 213.485 + 727.064i 0.301108 + 1.02548i 0.961556 + 0.274607i \(0.0885479\pi\)
−0.660449 + 0.750871i \(0.729634\pi\)
\(710\) 270.441 344.123i 0.380903 0.484680i
\(711\) 137.882 + 958.991i 0.193927 + 1.34879i
\(712\) 15.9335 15.9335i 0.0223785 0.0223785i
\(713\) −71.0141 88.6951i −0.0995990 0.124397i
\(714\) 128.789i 0.180377i
\(715\) −656.581 62.4814i −0.918296 0.0873866i
\(716\) −9.78877 + 21.4344i −0.0136715 + 0.0299363i
\(717\) 46.6998 85.5243i 0.0651322 0.119281i
\(718\) 294.288 21.0479i 0.409872 0.0293146i
\(719\) −264.853 + 902.005i −0.368363 + 1.25453i 0.541881 + 0.840455i \(0.317712\pi\)
−0.910244 + 0.414073i \(0.864106\pi\)
\(720\) −66.7502 + 137.524i −0.0927087 + 0.191006i
\(721\) 137.198 + 300.422i 0.190289 + 0.416675i
\(722\) −338.558 24.2141i −0.468917 0.0335376i
\(723\) −41.4714 190.641i −0.0573602 0.263681i
\(724\) 49.7348 + 7.15079i 0.0686945 + 0.00987678i
\(725\) −427.099 + 600.599i −0.589101 + 0.828412i
\(726\) −117.229 75.3388i −0.161473 0.103772i
\(727\) 1055.93 + 75.5214i 1.45244 + 0.103881i 0.775125 0.631808i \(-0.217687\pi\)
0.677319 + 0.735689i \(0.263142\pi\)
\(728\) 61.0953 163.803i 0.0839221 0.225004i
\(729\) 81.1009 + 126.195i 0.111250 + 0.173108i
\(730\) −159.315 593.803i −0.218240 0.813429i
\(731\) 1140.57 1316.29i 1.56029 1.80067i
\(732\) 9.97623 18.2701i 0.0136287 0.0249592i
\(733\) 131.092 48.8948i 0.178843 0.0667050i −0.258447 0.966025i \(-0.583211\pi\)
0.437290 + 0.899320i \(0.355938\pi\)
\(734\) −564.788 + 81.2042i −0.769465 + 0.110632i
\(735\) −232.102 56.2277i −0.315784 0.0765002i
\(736\) −128.113 + 22.6965i −0.174066 + 0.0308376i
\(737\) 107.286 107.286i 0.145571 0.145571i
\(738\) −3.01154 + 4.02295i −0.00408068 + 0.00545115i
\(739\) 894.547 + 408.526i 1.21048 + 0.552809i 0.915355 0.402649i \(-0.131910\pi\)
0.295128 + 0.955458i \(0.404638\pi\)
\(740\) 6.34824 + 132.364i 0.00857870 + 0.178871i
\(741\) 183.433 211.693i 0.247547 0.285685i
\(742\) 124.139 67.7852i 0.167304 0.0913547i
\(743\) −1414.73 307.756i −1.90408 0.414208i −0.904166 0.427181i \(-0.859507\pi\)
−0.999916 + 0.0129728i \(0.995871\pi\)
\(744\) 14.8037 6.76062i 0.0198974 0.00908686i
\(745\) −579.799 185.135i −0.778254 0.248503i
\(746\) 215.156 + 138.272i 0.288412 + 0.185351i
\(747\) 620.832 + 829.335i 0.831101 + 1.11022i
\(748\) −267.157 + 199.991i −0.357161 + 0.267368i
\(749\) 123.259 191.795i 0.164565 0.256068i
\(750\) 145.733 + 145.450i 0.194311 + 0.193934i
\(751\) −427.472 936.033i −0.569203 1.24638i −0.947220 0.320583i \(-0.896121\pi\)
0.378017 0.925799i \(-0.376606\pi\)
\(752\) −51.5757 + 237.090i −0.0685848 + 0.315279i
\(753\) 114.358 + 209.431i 0.151870 + 0.278128i
\(754\) 688.855 + 596.896i 0.913601 + 0.791639i
\(755\) −151.419 137.560i −0.200555 0.182198i
\(756\) −45.5323 + 99.7018i −0.0602279 + 0.131881i
\(757\) −814.761 609.922i −1.07630 0.805710i −0.0944829 0.995526i \(-0.530120\pi\)
−0.981820 + 0.189817i \(0.939211\pi\)
\(758\) 541.425 + 541.425i 0.714281 + 0.714281i
\(759\) 71.8894 + 144.757i 0.0947159 + 0.190721i
\(760\) 151.185 + 36.6253i 0.198928 + 0.0481912i
\(761\) 157.873 + 1098.03i 0.207454 + 1.44288i 0.781424 + 0.624000i \(0.214494\pi\)
−0.573970 + 0.818876i \(0.694597\pi\)
\(762\) −90.5475 242.767i −0.118829 0.318592i
\(763\) −97.4046 53.1869i −0.127660 0.0697077i
\(764\) 426.041 + 369.166i 0.557645 + 0.483202i
\(765\) −528.178 + 915.516i −0.690429 + 1.19675i
\(766\) −115.992 + 74.5438i −0.151426 + 0.0973157i
\(767\) −203.256 75.8104i −0.265001 0.0988402i
\(768\) 1.32946 18.5883i 0.00173107 0.0242035i
\(769\) −428.871 + 667.337i −0.557700 + 0.867798i −0.999571 0.0292805i \(-0.990678\pi\)
0.441871 + 0.897078i \(0.354315\pi\)
\(770\) −47.5134 110.855i −0.0617057 0.143968i
\(771\) −43.9242 + 305.500i −0.0569704 + 0.396238i
\(772\) −639.747 + 139.168i −0.828688 + 0.180270i
\(773\) −8.93037 + 124.863i −0.0115529 + 0.161530i 0.988400 + 0.151870i \(0.0485295\pi\)
−0.999953 + 0.00966021i \(0.996925\pi\)
\(774\) −619.216 + 282.787i −0.800021 + 0.365357i
\(775\) 11.8192 + 122.935i 0.0152505 + 0.158625i
\(776\) 172.029 + 50.5124i 0.221687 + 0.0650933i
\(777\) 3.11289 + 43.5238i 0.00400629 + 0.0560152i
\(778\) −728.644 397.870i −0.936560 0.511401i
\(779\) 4.65162 + 2.12432i 0.00597126 + 0.00272699i
\(780\) 196.316 162.199i 0.251687 0.207947i
\(781\) −373.440 −0.478156
\(782\) −894.727 + 93.3354i −1.14415 + 0.119355i
\(783\) −404.079 404.079i −0.516066 0.516066i
\(784\) −162.361 + 23.3440i −0.207093 + 0.0297755i
\(785\) −600.193 + 763.717i −0.764578 + 0.972888i
\(786\) 73.4591 21.5695i 0.0934595 0.0274422i
\(787\) 92.0759 + 1287.39i 0.116996 + 1.63582i 0.629405 + 0.777077i \(0.283299\pi\)
−0.512409 + 0.858741i \(0.671247\pi\)
\(788\) 290.231 + 531.519i 0.368314 + 0.674516i
\(789\) 179.169 + 278.793i 0.227084 + 0.353350i
\(790\) 880.054 169.912i 1.11399 0.215079i
\(791\) 401.620 + 463.494i 0.507737 + 0.585960i
\(792\) 127.451 27.7254i 0.160924 0.0350068i
\(793\) 156.406 117.084i 0.197233 0.147647i
\(794\) 123.224 + 17.7170i 0.155195 + 0.0223136i
\(795\) 205.967 + 4.83622i 0.259078 + 0.00608329i
\(796\) −271.390 313.200i −0.340942 0.393468i
\(797\) −289.882 108.121i −0.363717 0.135659i 0.160960 0.986961i \(-0.448541\pi\)
−0.524677 + 0.851302i \(0.675814\pi\)
\(798\) 50.0516 + 10.8881i 0.0627214 + 0.0136442i
\(799\) −472.638 + 1609.66i −0.591537 + 2.01459i
\(800\) 130.039 + 55.5864i 0.162549 + 0.0694830i
\(801\) −58.4264 + 17.1555i −0.0729418 + 0.0214176i
\(802\) 8.51247 + 22.8228i 0.0106140 + 0.0284574i
\(803\) −314.364 + 419.942i −0.391487 + 0.522966i
\(804\) 58.5814i 0.0728624i
\(805\) 43.3495 322.211i 0.0538503 0.400262i
\(806\) 152.746 0.189511
\(807\) −31.2667 23.4060i −0.0387444 0.0290037i
\(808\) −361.614 + 134.875i −0.447542 + 0.166924i
\(809\) −82.2499 280.117i −0.101669 0.346251i 0.892910 0.450234i \(-0.148660\pi\)
−0.994579 + 0.103983i \(0.966841\pi\)
\(810\) 266.116 189.630i 0.328538 0.234111i
\(811\) 864.066 + 253.713i 1.06543 + 0.312839i 0.767037 0.641603i \(-0.221730\pi\)
0.298396 + 0.954442i \(0.403549\pi\)
\(812\) −35.4301 + 162.870i −0.0436332 + 0.200579i
\(813\) −156.008 + 418.273i −0.191891 + 0.514480i
\(814\) 85.4509 74.0436i 0.104977 0.0909627i
\(815\) −200.276 + 191.087i −0.245738 + 0.234463i
\(816\) 18.3373 127.539i 0.0224722 0.156298i
\(817\) 415.128 + 554.546i 0.508112 + 0.678759i
\(818\) 114.201 + 524.972i 0.139610 + 0.641775i
\(819\) −357.046 + 309.382i −0.435954 + 0.377756i
\(820\) 3.85091 + 2.60456i 0.00469623 + 0.00317629i
\(821\) −46.4712 + 29.8652i −0.0566032 + 0.0363766i −0.568636 0.822589i \(-0.692529\pi\)
0.512033 + 0.858966i \(0.328892\pi\)
\(822\) 283.953 155.050i 0.345442 0.188626i
\(823\) −881.927 + 63.0766i −1.07160 + 0.0766423i −0.595973 0.803005i \(-0.703233\pi\)
−0.475627 + 0.879647i \(0.657779\pi\)
\(824\) 93.0916 + 317.041i 0.112975 + 0.384758i
\(825\) 20.7436 174.451i 0.0251437 0.211455i
\(826\) −5.64556 39.2658i −0.00683482 0.0475372i
\(827\) −573.134 + 573.134i −0.693027 + 0.693027i −0.962897 0.269869i \(-0.913019\pi\)
0.269869 + 0.962897i \(0.413019\pi\)
\(828\) 333.251 + 112.087i 0.402477 + 0.135371i
\(829\) 484.025i 0.583866i −0.956439 0.291933i \(-0.905702\pi\)
0.956439 0.291933i \(-0.0942984\pi\)
\(830\) 738.841 610.441i 0.890170 0.735471i
\(831\) 24.2066 53.0050i 0.0291294 0.0637845i
\(832\) 83.8250 153.514i 0.100751 0.184512i
\(833\) −1131.24 + 80.9079i −1.35803 + 0.0971283i
\(834\) 118.290 402.860i 0.141835 0.483045i
\(835\) 1464.45 507.382i 1.75383 0.607643i
\(836\) −55.1372 120.734i −0.0659535 0.144418i
\(837\) −95.5198 6.83171i −0.114122 0.00816214i
\(838\) −193.553 889.749i −0.230970 1.06175i
\(839\) −517.794 74.4476i −0.617156 0.0887337i −0.173356 0.984859i \(-0.555461\pi\)
−0.443801 + 0.896126i \(0.646370\pi\)
\(840\) 43.2371 + 17.2933i 0.0514728 + 0.0205873i
\(841\) −23.5642 15.1438i −0.0280192 0.0180069i
\(842\) −9.32569 0.666987i −0.0110756 0.000792146i
\(843\) −89.7938 + 240.747i −0.106517 + 0.285583i
\(844\) −71.2679 110.895i −0.0844406 0.131392i
\(845\) 1492.31 400.382i 1.76605 0.473825i
\(846\) 429.381 495.533i 0.507543 0.585736i
\(847\) 114.622 209.914i 0.135327 0.247832i
\(848\) 132.586 49.4519i 0.156351 0.0583159i
\(849\) 97.9518 14.0833i 0.115373 0.0165882i
\(850\) 869.399 + 447.494i 1.02282 + 0.526464i
\(851\) 300.115 53.1684i 0.352661 0.0624775i
\(852\) 101.955 101.955i 0.119666 0.119666i
\(853\) −130.370 + 174.154i −0.152837 + 0.204167i −0.870425 0.492302i \(-0.836156\pi\)
0.717587 + 0.696469i \(0.245247\pi\)
\(854\) 32.4987 + 14.8417i 0.0380547 + 0.0173790i
\(855\) −311.147 282.667i −0.363914 0.330605i
\(856\) 149.371 172.384i 0.174499 0.201383i
\(857\) −1229.91 + 671.583i −1.43514 + 0.783644i −0.993531 0.113565i \(-0.963773\pi\)
−0.441606 + 0.897209i \(0.645591\pi\)
\(858\) −212.314 46.1861i −0.247452 0.0538299i
\(859\) −235.343 + 107.477i −0.273973 + 0.125119i −0.547664 0.836699i \(-0.684483\pi\)
0.273691 + 0.961818i \(0.411755\pi\)
\(860\) 288.754 + 559.660i 0.335761 + 0.650768i
\(861\) 1.28781 + 0.827626i 0.00149572 + 0.000961238i
\(862\) −48.6593 65.0012i −0.0564493 0.0754074i
\(863\) 518.027 387.790i 0.600263 0.449351i −0.255436 0.966826i \(-0.582219\pi\)
0.855698 + 0.517475i \(0.173128\pi\)
\(864\) −59.2861 + 92.2510i −0.0686182 + 0.106772i
\(865\) −524.306 + 270.513i −0.606134 + 0.312732i
\(866\) −164.717 360.679i −0.190204 0.416489i
\(867\) 117.821 541.613i 0.135895 0.624698i
\(868\) 13.3863 + 24.5152i 0.0154220 + 0.0282433i
\(869\) −577.968 500.812i −0.665095 0.576308i
\(870\) −163.255 + 179.703i −0.187649 + 0.206555i
\(871\) −228.406 + 500.139i −0.262234 + 0.574212i
\(872\) −88.8862 66.5394i −0.101934 0.0763067i
\(873\) −342.600 342.600i −0.392440 0.392440i
\(874\) 39.3688 355.611i 0.0450444 0.406878i
\(875\) −231.158 + 267.295i −0.264181 + 0.305480i
\(876\) −28.8243 200.477i −0.0329045 0.228855i
\(877\) 199.937 + 536.051i 0.227978 + 0.611233i 0.999694 0.0247343i \(-0.00787399\pi\)
−0.771716 + 0.635967i \(0.780601\pi\)
\(878\) 449.108 + 245.232i 0.511513 + 0.279307i
\(879\) 205.751 + 178.285i 0.234074 + 0.202827i
\(880\) −31.2683 116.544i −0.0355322 0.132436i
\(881\) −887.451 + 570.330i −1.00732 + 0.647367i −0.936699 0.350137i \(-0.886135\pi\)
−0.0706233 + 0.997503i \(0.522499\pi\)
\(882\) 415.319 + 154.906i 0.470883 + 0.175630i
\(883\) 105.488 1474.91i 0.119465 1.67034i −0.485614 0.874173i \(-0.661404\pi\)
0.605079 0.796165i \(-0.293142\pi\)
\(884\) 653.821 1017.37i 0.739617 1.15087i
\(885\) 21.4585 53.6510i 0.0242469 0.0606226i
\(886\) 49.2333 342.425i 0.0555681 0.386484i
\(887\) −642.961 + 139.867i −0.724871 + 0.157686i −0.559838 0.828602i \(-0.689137\pi\)
−0.165033 + 0.986288i \(0.552773\pi\)
\(888\) −3.11437 + 43.5446i −0.00350717 + 0.0490367i
\(889\) 404.516 184.736i 0.455023 0.207802i
\(890\) 18.4421 + 53.2292i 0.0207214 + 0.0598080i
\(891\) −267.516 78.5498i −0.300243 0.0881592i
\(892\) −25.6763 359.002i −0.0287851 0.402468i
\(893\) −585.608 319.766i −0.655776 0.358081i
\(894\) −182.389 83.2942i −0.204014 0.0931703i
\(895\) −37.5219 45.4142i −0.0419239 0.0507421i
\(896\) 31.9848 0.0356973
\(897\) −427.410 400.460i −0.476488 0.446444i
\(898\) 113.975 + 113.975i 0.126921 + 0.126921i
\(899\) −144.146 + 20.7250i −0.160340 + 0.0230534i
\(900\) −236.436 300.253i −0.262707 0.333614i
\(901\) 938.773 275.649i 1.04192 0.305936i
\(902\) −0.282981 3.95659i −0.000313726 0.00438646i
\(903\) 99.3807 + 182.002i 0.110056 + 0.201553i
\(904\) 331.728 + 516.179i 0.366956 + 0.570995i
\(905\) −70.3748 + 104.051i −0.0777623 + 0.114974i
\(906\) −44.1338 50.9332i −0.0487128 0.0562176i
\(907\) 304.897 66.3262i 0.336160 0.0731271i −0.0413172 0.999146i \(-0.513155\pi\)
0.377477 + 0.926019i \(0.376792\pi\)
\(908\) −251.615 + 188.357i −0.277109 + 0.207441i
\(909\) 1032.35 + 148.429i 1.13570 + 0.163289i
\(910\) 301.711 + 316.221i 0.331551 + 0.347495i
\(911\) 654.848 + 755.735i 0.718823 + 0.829566i 0.991165 0.132635i \(-0.0423437\pi\)
−0.272342 + 0.962201i \(0.587798\pi\)
\(912\) 48.0155 + 17.9089i 0.0526486 + 0.0196369i
\(913\) −799.050 173.823i −0.875192 0.190386i
\(914\) 74.2814 252.979i 0.0812706 0.276782i
\(915\) 30.2004 + 42.3815i 0.0330059 + 0.0463186i
\(916\) 237.291 69.6749i 0.259051 0.0760643i
\(917\) 45.9201 + 123.116i 0.0500764 + 0.134260i
\(918\) −454.371 + 606.968i −0.494957 + 0.661185i
\(919\) 628.000i 0.683352i −0.939818 0.341676i \(-0.889005\pi\)
0.939818 0.341676i \(-0.110995\pi\)
\(920\) 88.8060 312.911i 0.0965283 0.340121i
\(921\) 463.582 0.503347
\(922\) 94.9560 + 71.0832i 0.102989 + 0.0770967i
\(923\) 1267.96 472.924i 1.37374 0.512377i
\(924\) −11.1940 38.1234i −0.0121147 0.0412590i
\(925\) −304.627 130.216i −0.329327 0.140774i
\(926\) −900.391 264.379i −0.972345 0.285506i
\(927\) 189.805 872.518i 0.204752 0.941228i
\(928\) −58.2761 + 156.244i −0.0627975 + 0.168367i
\(929\) 215.059 186.349i 0.231495 0.200591i −0.531387 0.847129i \(-0.678329\pi\)
0.762882 + 0.646538i \(0.223784\pi\)
\(930\) −0.955064 + 40.6747i −0.00102695 + 0.0437363i
\(931\) 64.1938 446.478i 0.0689514 0.479568i
\(932\) 18.2182 + 24.3367i 0.0195475 + 0.0261124i
\(933\) 83.6600 + 384.579i 0.0896678 + 0.412196i
\(934\) −168.472 + 145.982i −0.180377 + 0.156297i
\(935\) −158.157 819.172i −0.169152 0.876120i
\(936\) −397.631 + 255.542i −0.424819 + 0.273015i
\(937\) −505.756 + 276.163i −0.539760 + 0.294732i −0.725910 0.687790i \(-0.758581\pi\)
0.186149 + 0.982521i \(0.440399\pi\)
\(938\) −100.288 + 7.17271i −0.106916 + 0.00764682i
\(939\) 61.4046 + 209.125i 0.0653936 + 0.222710i
\(940\) −476.931 374.813i −0.507373 0.398737i
\(941\) −65.6732 456.767i −0.0697908 0.485406i −0.994500 0.104733i \(-0.966601\pi\)
0.924710 0.380673i \(-0.124308\pi\)
\(942\) −226.270 + 226.270i −0.240202 + 0.240202i
\(943\) 4.81642 9.54653i 0.00510755 0.0101236i
\(944\) 39.6885i 0.0420429i
\(945\) −174.532 211.243i −0.184690 0.223538i
\(946\) 223.217 488.776i 0.235958 0.516677i
\(947\) 2.87073 5.25735i 0.00303139 0.00555158i −0.876159 0.482022i \(-0.839902\pi\)
0.879190 + 0.476471i \(0.158084\pi\)
\(948\) 294.524 21.0648i 0.310679 0.0222202i
\(949\) 535.563 1823.96i 0.564344 1.92198i
\(950\) −247.412 + 300.045i −0.260434 + 0.315837i
\(951\) −149.620 327.621i −0.157329 0.344502i
\(952\) 220.584 + 15.7764i 0.231705 + 0.0165719i
\(953\) 197.327 + 907.098i 0.207059 + 0.951834i 0.956945 + 0.290268i \(0.0937444\pi\)
−0.749887 + 0.661566i \(0.769892\pi\)
\(954\) −378.511 54.4217i −0.396762 0.0570458i
\(955\) −1295.36 + 555.203i −1.35640 + 0.581364i
\(956\) 140.761 + 90.4618i 0.147240 + 0.0946253i
\(957\) 206.626 + 14.7782i 0.215911 + 0.0154422i
\(958\) 263.391 706.179i 0.274938 0.737138i
\(959\) 300.204 + 467.126i 0.313038 + 0.487097i
\(960\) 40.3552 + 23.2816i 0.0420366 + 0.0242517i
\(961\) 613.340 707.832i 0.638231 0.736558i
\(962\) −196.367 + 359.619i −0.204124 + 0.373824i
\(963\) −577.531 + 215.408i −0.599721 + 0.223684i
\(964\) 331.601 47.6771i 0.343985 0.0494575i
\(965\) 385.369 1590.76i 0.399346 1.64846i
\(966\) 26.8153 103.693i 0.0277591 0.107343i
\(967\) −402.876 + 402.876i −0.416624 + 0.416624i −0.884039 0.467414i \(-0.845186\pi\)
0.467414 + 0.884039i \(0.345186\pi\)
\(968\) 143.397 191.556i 0.148138 0.197889i
\(969\) 322.307 + 147.193i 0.332618 + 0.151901i
\(970\) −301.399 + 331.766i −0.310721 + 0.342027i
\(971\) −193.082 + 222.828i −0.198848 + 0.229483i −0.846413 0.532528i \(-0.821242\pi\)
0.647564 + 0.762011i \(0.275788\pi\)
\(972\) 400.733 218.817i 0.412276 0.225120i
\(973\) 704.154 + 153.179i 0.723694 + 0.157430i
\(974\) −472.313 + 215.698i −0.484921 + 0.221456i
\(975\) 150.493 + 618.591i 0.154351 + 0.634452i
\(976\) 30.0701 + 19.3249i 0.0308095 + 0.0198001i
\(977\) −552.503 738.057i −0.565510 0.755432i 0.423076 0.906094i \(-0.360950\pi\)
−0.988585 + 0.150662i \(0.951860\pi\)
\(978\) −73.0030 + 54.6494i −0.0746452 + 0.0558787i
\(979\) 25.9863 40.4354i 0.0265437 0.0413028i
\(980\) 124.736 390.645i 0.127282 0.398617i
\(981\) 124.645 + 272.934i 0.127059 + 0.278220i
\(982\) 57.7122 265.299i 0.0587700 0.270161i
\(983\) −494.598 905.789i −0.503152 0.921454i −0.998604 0.0528187i \(-0.983179\pi\)
0.495452 0.868635i \(-0.335002\pi\)
\(984\) 1.15747 + 1.00295i 0.00117629 + 0.00101926i
\(985\) −1512.25 + 72.5281i −1.53528 + 0.0736325i
\(986\) −478.970 + 1048.80i −0.485770 + 1.06369i
\(987\) −159.898 119.698i −0.162004 0.121274i
\(988\) 340.107 + 340.107i 0.344238 + 0.344238i
\(989\) 1192.39 822.321i 1.20565 0.831468i
\(990\) −76.7738 + 316.914i −0.0775493 + 0.320115i
\(991\) 268.338 + 1866.33i 0.270775 + 1.88328i 0.440445 + 0.897780i \(0.354821\pi\)
−0.169670 + 0.985501i \(0.554270\pi\)
\(992\) 9.76585 + 26.1832i 0.00984460 + 0.0263944i
\(993\) −563.427 307.655i −0.567399 0.309823i
\(994\) 187.024 + 162.057i 0.188153 + 0.163035i
\(995\) 1000.67 268.476i 1.00570 0.269825i
\(996\) 265.610 170.697i 0.266677 0.171383i
\(997\) −1365.12 509.164i −1.36923 0.510697i −0.446031 0.895018i \(-0.647163\pi\)
−0.923200 + 0.384321i \(0.874436\pi\)
\(998\) 33.5191 468.658i 0.0335863 0.469598i
\(999\) 138.883 216.106i 0.139022 0.216322i
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 230.3.k.a.3.8 240
5.2 odd 4 inner 230.3.k.a.187.5 yes 240
23.8 even 11 inner 230.3.k.a.123.5 yes 240
115.77 odd 44 inner 230.3.k.a.77.8 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
230.3.k.a.3.8 240 1.1 even 1 trivial
230.3.k.a.77.8 yes 240 115.77 odd 44 inner
230.3.k.a.123.5 yes 240 23.8 even 11 inner
230.3.k.a.187.5 yes 240 5.2 odd 4 inner