Properties

Label 230.3.k.a.223.7
Level $230$
Weight $3$
Character 230.223
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 223.7
Character \(\chi\) \(=\) 230.223
Dual form 230.3.k.a.197.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.100889 + 1.41061i) q^{2} +(0.933200 + 0.203005i) q^{3} +(-1.97964 + 0.284630i) q^{4} +(4.71702 - 1.65823i) q^{5} +(-0.192212 + 1.33686i) q^{6} +(-4.37890 + 8.01935i) q^{7} +(-0.601225 - 2.76379i) q^{8} +(-7.35704 - 3.35985i) q^{9} +O(q^{10})\) \(q+(0.100889 + 1.41061i) q^{2} +(0.933200 + 0.203005i) q^{3} +(-1.97964 + 0.284630i) q^{4} +(4.71702 - 1.65823i) q^{5} +(-0.192212 + 1.33686i) q^{6} +(-4.37890 + 8.01935i) q^{7} +(-0.601225 - 2.76379i) q^{8} +(-7.35704 - 3.35985i) q^{9} +(2.81502 + 6.48658i) q^{10} +(8.28620 + 9.56278i) q^{11} +(-1.90518 - 0.136261i) q^{12} +(11.1282 + 20.3798i) q^{13} +(-11.7540 - 5.36786i) q^{14} +(4.73855 - 0.589885i) q^{15} +(3.83797 - 1.12693i) q^{16} +(-2.41763 - 3.22957i) q^{17} +(3.99719 - 10.7169i) q^{18} +(15.6832 - 2.25491i) q^{19} +(-8.86603 + 4.62531i) q^{20} +(-5.71436 + 6.59472i) q^{21} +(-12.6534 + 12.6534i) q^{22} +(-3.33335 + 22.7572i) q^{23} -2.70122i q^{24} +(19.5005 - 15.6438i) q^{25} +(-27.6253 + 17.7537i) q^{26} +(-13.0644 - 9.77985i) q^{27} +(6.38611 - 17.1218i) q^{28} +(-40.4473 - 5.81545i) q^{29} +(1.31016 + 6.62474i) q^{30} +(26.7149 + 17.1687i) q^{31} +(1.97687 + 5.30019i) q^{32} +(5.79138 + 10.6061i) q^{33} +(4.31175 - 3.73616i) q^{34} +(-7.35738 + 45.0887i) q^{35} +(15.5206 + 4.55726i) q^{36} +(-0.858210 - 2.30095i) q^{37} +(4.76306 + 21.8954i) q^{38} +(6.24765 + 21.2775i) q^{39} +(-7.41900 - 12.0399i) q^{40} +(-24.2612 - 53.1245i) q^{41} +(-9.87910 - 7.39540i) q^{42} +(-41.4138 - 9.00902i) q^{43} +(-19.1256 - 16.5724i) q^{44} +(-40.2747 - 3.64877i) q^{45} +(-32.4378 - 2.40612i) q^{46} +(51.8327 - 51.8327i) q^{47} +(3.81037 - 0.272523i) q^{48} +(-18.6439 - 29.0104i) q^{49} +(24.0347 + 25.9293i) q^{50} +(-1.60051 - 3.50463i) q^{51} +(-27.8306 - 37.1773i) q^{52} +(45.4900 + 24.8394i) q^{53} +(12.4775 - 19.4154i) q^{54} +(54.9435 + 31.3674i) q^{55} +(24.7965 + 7.28091i) q^{56} +(15.0934 + 1.07950i) q^{57} +(4.12264 - 57.6421i) q^{58} +(22.5966 - 76.9568i) q^{59} +(-9.21274 + 2.51649i) q^{60} +(-5.72658 - 3.68025i) q^{61} +(-21.5230 + 39.4165i) q^{62} +(59.1595 - 44.2863i) q^{63} +(-7.27706 + 3.32332i) q^{64} +(86.2865 + 77.6788i) q^{65} +(-14.3768 + 9.23943i) q^{66} +(2.33182 + 32.6031i) q^{67} +(5.70527 + 5.70527i) q^{68} +(-7.73051 + 20.5603i) q^{69} +(-64.3448 - 5.82945i) q^{70} +(21.0754 - 24.3223i) q^{71} +(-4.86267 + 22.3533i) q^{72} +(47.1554 - 62.9922i) q^{73} +(3.15916 - 1.44274i) q^{74} +(21.3737 - 10.6401i) q^{75} +(-30.4054 + 8.92783i) q^{76} +(-112.972 + 24.5755i) q^{77} +(-29.3840 + 10.9597i) q^{78} +(-11.9867 + 40.8228i) q^{79} +(16.2351 - 11.6800i) q^{80} +(37.4619 + 43.2333i) q^{81} +(72.4903 - 39.5827i) q^{82} +(79.2112 - 29.5443i) q^{83} +(9.43534 - 14.6817i) q^{84} +(-16.7594 - 11.2250i) q^{85} +(8.53003 - 59.3277i) q^{86} +(-36.5649 - 13.6380i) q^{87} +(21.4476 - 28.6507i) q^{88} +(-48.1721 - 74.9572i) q^{89} +(1.08372 - 57.1800i) q^{90} -212.162 q^{91} +(0.121485 - 45.9998i) q^{92} +(21.4451 + 21.4451i) q^{93} +(78.3450 + 67.8863i) q^{94} +(70.2390 - 36.6429i) q^{95} +(0.768847 + 5.34745i) q^{96} +(60.4973 + 22.5643i) q^{97} +(39.0415 - 29.2261i) q^{98} +(-28.8324 - 98.1941i) 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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.100889 + 1.41061i 0.0504444 + 0.705305i
\(3\) 0.933200 + 0.203005i 0.311067 + 0.0676684i 0.365389 0.930855i \(-0.380936\pi\)
−0.0543220 + 0.998523i \(0.517300\pi\)
\(4\) −1.97964 + 0.284630i −0.494911 + 0.0711574i
\(5\) 4.71702 1.65823i 0.943404 0.331647i
\(6\) −0.192212 + 1.33686i −0.0320353 + 0.222810i
\(7\) −4.37890 + 8.01935i −0.625557 + 1.14562i 0.352209 + 0.935921i \(0.385431\pi\)
−0.977766 + 0.209700i \(0.932751\pi\)
\(8\) −0.601225 2.76379i −0.0751532 0.345474i
\(9\) −7.35704 3.35985i −0.817449 0.373316i
\(10\) 2.81502 + 6.48658i 0.281502 + 0.648658i
\(11\) 8.28620 + 9.56278i 0.753291 + 0.869344i 0.994883 0.101034i \(-0.0322151\pi\)
−0.241592 + 0.970378i \(0.577670\pi\)
\(12\) −1.90518 0.136261i −0.158765 0.0113551i
\(13\) 11.1282 + 20.3798i 0.856017 + 1.56768i 0.822871 + 0.568228i \(0.192371\pi\)
0.0331457 + 0.999451i \(0.489447\pi\)
\(14\) −11.7540 5.36786i −0.839569 0.383418i
\(15\) 4.73855 0.589885i 0.315903 0.0393256i
\(16\) 3.83797 1.12693i 0.239873 0.0704331i
\(17\) −2.41763 3.22957i −0.142213 0.189975i 0.723779 0.690032i \(-0.242403\pi\)
−0.865993 + 0.500057i \(0.833312\pi\)
\(18\) 3.99719 10.7169i 0.222066 0.595382i
\(19\) 15.6832 2.25491i 0.825434 0.118679i 0.283363 0.959013i \(-0.408550\pi\)
0.542070 + 0.840333i \(0.317641\pi\)
\(20\) −8.86603 + 4.62531i −0.443301 + 0.231266i
\(21\) −5.71436 + 6.59472i −0.272112 + 0.314034i
\(22\) −12.6534 + 12.6534i −0.575153 + 0.575153i
\(23\) −3.33335 + 22.7572i −0.144928 + 0.989442i
\(24\) 2.70122i 0.112551i
\(25\) 19.5005 15.6438i 0.780021 0.625754i
\(26\) −27.6253 + 17.7537i −1.06251 + 0.682834i
\(27\) −13.0644 9.77985i −0.483865 0.362217i
\(28\) 6.38611 17.1218i 0.228075 0.611494i
\(29\) −40.4473 5.81545i −1.39473 0.200533i −0.596371 0.802709i \(-0.703391\pi\)
−0.798363 + 0.602176i \(0.794301\pi\)
\(30\) 1.31016 + 6.62474i 0.0436721 + 0.220825i
\(31\) 26.7149 + 17.1687i 0.861772 + 0.553827i 0.895226 0.445613i \(-0.147014\pi\)
−0.0334534 + 0.999440i \(0.510651\pi\)
\(32\) 1.97687 + 5.30019i 0.0617771 + 0.165631i
\(33\) 5.79138 + 10.6061i 0.175497 + 0.321398i
\(34\) 4.31175 3.73616i 0.126816 0.109887i
\(35\) −7.35738 + 45.0887i −0.210211 + 1.28825i
\(36\) 15.5206 + 4.55726i 0.431128 + 0.126591i
\(37\) −0.858210 2.30095i −0.0231949 0.0621878i 0.924836 0.380366i \(-0.124202\pi\)
−0.948031 + 0.318178i \(0.896929\pi\)
\(38\) 4.76306 + 21.8954i 0.125344 + 0.576196i
\(39\) 6.24765 + 21.2775i 0.160196 + 0.545578i
\(40\) −7.41900 12.0399i −0.185475 0.300997i
\(41\) −24.2612 53.1245i −0.591735 1.29572i −0.934388 0.356258i \(-0.884053\pi\)
0.342652 0.939462i \(-0.388675\pi\)
\(42\) −9.87910 7.39540i −0.235217 0.176081i
\(43\) −41.4138 9.00902i −0.963112 0.209512i −0.296596 0.955003i \(-0.595851\pi\)
−0.666516 + 0.745491i \(0.732215\pi\)
\(44\) −19.1256 16.5724i −0.434672 0.376645i
\(45\) −40.2747 3.64877i −0.894993 0.0810837i
\(46\) −32.4378 2.40612i −0.705169 0.0523069i
\(47\) 51.8327 51.8327i 1.10282 1.10282i 0.108754 0.994069i \(-0.465314\pi\)
0.994069 0.108754i \(-0.0346860\pi\)
\(48\) 3.81037 0.272523i 0.0793827 0.00567756i
\(49\) −18.6439 29.0104i −0.380487 0.592050i
\(50\) 24.0347 + 25.9293i 0.480695 + 0.518587i
\(51\) −1.60051 3.50463i −0.0313825 0.0687181i
\(52\) −27.8306 37.1773i −0.535204 0.714949i
\(53\) 45.4900 + 24.8394i 0.858302 + 0.468668i 0.847203 0.531270i \(-0.178285\pi\)
0.0110995 + 0.999938i \(0.496467\pi\)
\(54\) 12.4775 19.4154i 0.231065 0.359544i
\(55\) 54.9435 + 31.3674i 0.998972 + 0.570316i
\(56\) 24.7965 + 7.28091i 0.442795 + 0.130016i
\(57\) 15.0934 + 1.07950i 0.264796 + 0.0189386i
\(58\) 4.12264 57.6421i 0.0710801 0.993829i
\(59\) 22.5966 76.9568i 0.382993 1.30435i −0.512274 0.858822i \(-0.671197\pi\)
0.895267 0.445531i \(-0.146985\pi\)
\(60\) −9.21274 + 2.51649i −0.153546 + 0.0419416i
\(61\) −5.72658 3.68025i −0.0938783 0.0603319i 0.492859 0.870109i \(-0.335952\pi\)
−0.586738 + 0.809777i \(0.699588\pi\)
\(62\) −21.5230 + 39.4165i −0.347146 + 0.635750i
\(63\) 59.1595 44.2863i 0.939040 0.702956i
\(64\) −7.27706 + 3.32332i −0.113704 + 0.0519269i
\(65\) 86.2865 + 77.6788i 1.32749 + 1.19506i
\(66\) −14.3768 + 9.23943i −0.217831 + 0.139991i
\(67\) 2.33182 + 32.6031i 0.0348033 + 0.486613i 0.984724 + 0.174122i \(0.0557089\pi\)
−0.949921 + 0.312491i \(0.898837\pi\)
\(68\) 5.70527 + 5.70527i 0.0839010 + 0.0839010i
\(69\) −7.73051 + 20.5603i −0.112036 + 0.297975i
\(70\) −64.3448 5.82945i −0.919212 0.0832778i
\(71\) 21.0754 24.3223i 0.296837 0.342568i −0.587665 0.809104i \(-0.699953\pi\)
0.884502 + 0.466536i \(0.154498\pi\)
\(72\) −4.86267 + 22.3533i −0.0675370 + 0.310463i
\(73\) 47.1554 62.9922i 0.645964 0.862907i −0.351343 0.936247i \(-0.614275\pi\)
0.997307 + 0.0733398i \(0.0233658\pi\)
\(74\) 3.15916 1.44274i 0.0426914 0.0194965i
\(75\) 21.3737 10.6401i 0.284982 0.141868i
\(76\) −30.4054 + 8.92783i −0.400071 + 0.117471i
\(77\) −112.972 + 24.5755i −1.46717 + 0.319162i
\(78\) −29.3840 + 10.9597i −0.376718 + 0.140508i
\(79\) −11.9867 + 40.8228i −0.151730 + 0.516744i −0.999916 0.0129537i \(-0.995877\pi\)
0.848186 + 0.529698i \(0.177695\pi\)
\(80\) 16.2351 11.6800i 0.202938 0.146000i
\(81\) 37.4619 + 43.2333i 0.462493 + 0.533745i
\(82\) 72.4903 39.5827i 0.884028 0.482716i
\(83\) 79.2112 29.5443i 0.954352 0.355955i 0.176428 0.984314i \(-0.443546\pi\)
0.777924 + 0.628359i \(0.216273\pi\)
\(84\) 9.43534 14.6817i 0.112325 0.174782i
\(85\) −16.7594 11.2250i −0.197169 0.132058i
\(86\) 8.53003 59.3277i 0.0991864 0.689856i
\(87\) −36.5649 13.6380i −0.420286 0.156758i
\(88\) 21.4476 28.6507i 0.243723 0.325576i
\(89\) −48.1721 74.9572i −0.541259 0.842216i 0.457639 0.889138i \(-0.348695\pi\)
−0.998899 + 0.0469222i \(0.985059\pi\)
\(90\) 1.08372 57.1800i 0.0120413 0.635333i
\(91\) −212.162 −2.33145
\(92\) 0.121485 45.9998i 0.00132049 0.499998i
\(93\) 21.4451 + 21.4451i 0.230592 + 0.230592i
\(94\) 78.3450 + 67.8863i 0.833458 + 0.722195i
\(95\) 70.2390 36.6429i 0.739358 0.385715i
\(96\) 0.768847 + 5.34745i 0.00800883 + 0.0557026i
\(97\) 60.4973 + 22.5643i 0.623683 + 0.232622i 0.641382 0.767222i \(-0.278361\pi\)
−0.0176989 + 0.999843i \(0.505634\pi\)
\(98\) 39.0415 29.2261i 0.398382 0.298225i
\(99\) −28.8324 98.1941i −0.291236 0.991859i
\(100\) −34.1514 + 36.5196i −0.341514 + 0.365196i
\(101\) −39.9663 + 87.5140i −0.395706 + 0.866475i 0.601982 + 0.798510i \(0.294378\pi\)
−0.997688 + 0.0679654i \(0.978349\pi\)
\(102\) 4.78219 2.61127i 0.0468842 0.0256007i
\(103\) 7.97365 111.486i 0.0774141 1.08239i −0.799159 0.601120i \(-0.794721\pi\)
0.876573 0.481270i \(-0.159824\pi\)
\(104\) 49.6349 43.0089i 0.477259 0.413547i
\(105\) −16.0191 + 40.5832i −0.152563 + 0.386506i
\(106\) −30.4493 + 66.6747i −0.287258 + 0.629007i
\(107\) 130.761 28.4454i 1.22207 0.265845i 0.445157 0.895453i \(-0.353148\pi\)
0.776913 + 0.629608i \(0.216784\pi\)
\(108\) 28.6464 + 15.6421i 0.265244 + 0.144834i
\(109\) −157.841 22.6941i −1.44808 0.208203i −0.627002 0.779017i \(-0.715718\pi\)
−0.821079 + 0.570815i \(0.806627\pi\)
\(110\) −38.7039 + 80.6684i −0.351854 + 0.733350i
\(111\) −0.333777 2.32147i −0.00300700 0.0209141i
\(112\) −7.76884 + 35.7128i −0.0693646 + 0.318864i
\(113\) 99.8786 7.14346i 0.883881 0.0632164i 0.377986 0.925811i \(-0.376617\pi\)
0.505895 + 0.862595i \(0.331162\pi\)
\(114\) 21.3998i 0.187717i
\(115\) 22.0132 + 112.873i 0.191419 + 0.981508i
\(116\) 81.7265 0.704539
\(117\) −13.3977 187.324i −0.114510 1.60106i
\(118\) 110.836 + 24.1109i 0.939287 + 0.204329i
\(119\) 36.4856 5.24584i 0.306602 0.0440827i
\(120\) −4.47925 12.7417i −0.0373271 0.106181i
\(121\) −5.56563 + 38.7098i −0.0459969 + 0.319916i
\(122\) 4.61365 8.44927i 0.0378168 0.0692563i
\(123\) −11.8560 54.5009i −0.0963899 0.443097i
\(124\) −57.7728 26.3839i −0.465909 0.212774i
\(125\) 66.0432 106.129i 0.528345 0.849030i
\(126\) 68.4392 + 78.9830i 0.543168 + 0.626849i
\(127\) −138.260 9.88853i −1.08866 0.0778625i −0.484550 0.874764i \(-0.661017\pi\)
−0.604110 + 0.796901i \(0.706471\pi\)
\(128\) −5.42208 9.92980i −0.0423600 0.0775766i
\(129\) −36.8185 16.8144i −0.285415 0.130344i
\(130\) −100.869 + 129.554i −0.775916 + 0.996566i
\(131\) −32.8103 + 9.63398i −0.250461 + 0.0735419i −0.404553 0.914515i \(-0.632573\pi\)
0.154092 + 0.988056i \(0.450755\pi\)
\(132\) −14.4837 19.3479i −0.109725 0.146575i
\(133\) −50.5924 + 135.643i −0.380394 + 1.01988i
\(134\) −45.7550 + 6.57858i −0.341455 + 0.0490939i
\(135\) −77.8421 24.4680i −0.576608 0.181244i
\(136\) −7.47231 + 8.62351i −0.0549435 + 0.0634081i
\(137\) −25.8675 + 25.8675i −0.188814 + 0.188814i −0.795183 0.606369i \(-0.792625\pi\)
0.606369 + 0.795183i \(0.292625\pi\)
\(138\) −29.7825 8.83043i −0.215815 0.0639886i
\(139\) 164.481i 1.18331i 0.806190 + 0.591657i \(0.201526\pi\)
−0.806190 + 0.591657i \(0.798474\pi\)
\(140\) 1.73141 91.3536i 0.0123672 0.652526i
\(141\) 58.8925 37.8479i 0.417678 0.268425i
\(142\) 36.4356 + 27.2753i 0.256589 + 0.192080i
\(143\) −102.677 + 275.288i −0.718022 + 1.92509i
\(144\) −32.0224 4.60413i −0.222378 0.0319731i
\(145\) −200.434 + 39.6395i −1.38230 + 0.273376i
\(146\) 93.6149 + 60.1627i 0.641198 + 0.412073i
\(147\) −11.5092 30.8574i −0.0782939 0.209914i
\(148\) 2.35387 + 4.31079i 0.0159045 + 0.0291269i
\(149\) −130.864 + 113.394i −0.878282 + 0.761036i −0.972103 0.234553i \(-0.924637\pi\)
0.0938213 + 0.995589i \(0.470092\pi\)
\(150\) 17.1654 + 29.0764i 0.114436 + 0.193843i
\(151\) −11.4163 3.35214i −0.0756049 0.0221996i 0.243711 0.969848i \(-0.421635\pi\)
−0.319316 + 0.947648i \(0.603453\pi\)
\(152\) −15.6613 41.9895i −0.103035 0.276246i
\(153\) 6.93570 + 31.8829i 0.0453314 + 0.208385i
\(154\) −46.0640 156.880i −0.299117 1.01870i
\(155\) 154.485 + 36.6852i 0.996674 + 0.236679i
\(156\) −18.4243 40.3436i −0.118105 0.258613i
\(157\) −107.932 80.7968i −0.687464 0.514629i 0.197492 0.980305i \(-0.436720\pi\)
−0.884956 + 0.465676i \(0.845811\pi\)
\(158\) −58.7944 12.7899i −0.372116 0.0809490i
\(159\) 37.4087 + 32.4149i 0.235275 + 0.203867i
\(160\) 18.1139 + 21.7230i 0.113212 + 0.135769i
\(161\) −167.901 126.383i −1.04287 0.784986i
\(162\) −57.2059 + 57.2059i −0.353123 + 0.353123i
\(163\) −40.9044 + 2.92554i −0.250947 + 0.0179481i −0.196246 0.980555i \(-0.562875\pi\)
−0.0547011 + 0.998503i \(0.517421\pi\)
\(164\) 63.1492 + 98.2621i 0.385056 + 0.599159i
\(165\) 44.9055 + 40.4258i 0.272155 + 0.245005i
\(166\) 49.6670 + 108.755i 0.299199 + 0.655153i
\(167\) 181.022 + 241.817i 1.08396 + 1.44800i 0.883576 + 0.468287i \(0.155129\pi\)
0.200386 + 0.979717i \(0.435780\pi\)
\(168\) 21.6620 + 11.8284i 0.128941 + 0.0704069i
\(169\) −200.131 + 311.410i −1.18421 + 1.84266i
\(170\) 14.1432 24.7734i 0.0831953 0.145726i
\(171\) −122.958 36.1038i −0.719055 0.211133i
\(172\) 84.5488 + 6.04705i 0.491563 + 0.0351573i
\(173\) 3.46214 48.4071i 0.0200124 0.279810i −0.977585 0.210539i \(-0.932478\pi\)
0.997598 0.0692709i \(-0.0220673\pi\)
\(174\) 15.5489 52.9547i 0.0893615 0.304337i
\(175\) 40.0627 + 224.884i 0.228930 + 1.28505i
\(176\) 42.5788 + 27.3637i 0.241925 + 0.155476i
\(177\) 36.7097 67.2289i 0.207400 0.379824i
\(178\) 100.875 75.5144i 0.566716 0.424238i
\(179\) −157.347 + 71.8580i −0.879034 + 0.401441i −0.803221 0.595681i \(-0.796882\pi\)
−0.0758124 + 0.997122i \(0.524155\pi\)
\(180\) 80.7680 4.24012i 0.448711 0.0235562i
\(181\) 270.646 173.934i 1.49528 0.960960i 0.499788 0.866148i \(-0.333411\pi\)
0.995495 0.0948125i \(-0.0302252\pi\)
\(182\) −21.4048 299.278i −0.117609 1.64439i
\(183\) −4.59693 4.59693i −0.0251199 0.0251199i
\(184\) 64.9001 4.46950i 0.352718 0.0242908i
\(185\) −7.86371 9.43051i −0.0425065 0.0509757i
\(186\) −28.0871 + 32.4142i −0.151006 + 0.174270i
\(187\) 10.8507 49.8801i 0.0580254 0.266738i
\(188\) −87.8570 + 117.363i −0.467325 + 0.624273i
\(189\) 135.636 61.9427i 0.717649 0.327739i
\(190\) 58.7752 + 95.3829i 0.309343 + 0.502016i
\(191\) 136.088 39.9590i 0.712502 0.209209i 0.0946575 0.995510i \(-0.469824\pi\)
0.617844 + 0.786301i \(0.288006\pi\)
\(192\) −7.46560 + 1.62404i −0.0388833 + 0.00845855i
\(193\) −216.762 + 80.8481i −1.12312 + 0.418902i −0.841302 0.540566i \(-0.818210\pi\)
−0.281818 + 0.959468i \(0.590938\pi\)
\(194\) −25.7260 + 87.6146i −0.132608 + 0.451622i
\(195\) 64.7534 + 90.0064i 0.332069 + 0.461571i
\(196\) 45.1655 + 52.1237i 0.230436 + 0.265937i
\(197\) 92.0231 50.2484i 0.467122 0.255068i −0.228407 0.973566i \(-0.573352\pi\)
0.695529 + 0.718498i \(0.255170\pi\)
\(198\) 135.605 50.5779i 0.684872 0.255444i
\(199\) 190.893 297.035i 0.959260 1.49264i 0.0914092 0.995813i \(-0.470863\pi\)
0.867851 0.496825i \(-0.165501\pi\)
\(200\) −54.9605 44.4898i −0.274802 0.222449i
\(201\) −4.44255 + 30.8986i −0.0221022 + 0.153724i
\(202\) −127.480 47.5477i −0.631091 0.235385i
\(203\) 223.751 298.896i 1.10222 1.47239i
\(204\) 4.16596 + 6.48235i 0.0204214 + 0.0317762i
\(205\) −202.533 210.359i −0.987967 1.02614i
\(206\) 158.068 0.767320
\(207\) 100.984 156.226i 0.487846 0.754714i
\(208\) 65.6764 + 65.6764i 0.315752 + 0.315752i
\(209\) 151.518 + 131.291i 0.724965 + 0.628186i
\(210\) −58.8632 18.5024i −0.280301 0.0881066i
\(211\) 21.2497 + 147.795i 0.100709 + 0.700449i 0.976146 + 0.217116i \(0.0696650\pi\)
−0.875436 + 0.483333i \(0.839426\pi\)
\(212\) −97.1240 36.2254i −0.458132 0.170874i
\(213\) 24.6051 18.4192i 0.115517 0.0864750i
\(214\) 53.3178 + 181.584i 0.249148 + 0.848522i
\(215\) −210.289 + 26.1781i −0.978087 + 0.121758i
\(216\) −19.1748 + 41.9870i −0.0887723 + 0.194384i
\(217\) −254.664 + 139.057i −1.17356 + 0.640815i
\(218\) 16.0881 224.941i 0.0737988 1.03184i
\(219\) 56.7931 49.2115i 0.259329 0.224710i
\(220\) −117.697 46.4576i −0.534984 0.211171i
\(221\) 38.9142 85.2101i 0.176082 0.385566i
\(222\) 3.24101 0.705039i 0.0145992 0.00317585i
\(223\) 143.814 + 78.5286i 0.644908 + 0.352146i 0.768187 0.640226i \(-0.221159\pi\)
−0.123279 + 0.992372i \(0.539341\pi\)
\(224\) −51.1606 7.35578i −0.228395 0.0328383i
\(225\) −196.027 + 49.5736i −0.871231 + 0.220327i
\(226\) 20.1533 + 140.169i 0.0891737 + 0.620217i
\(227\) 29.7063 136.558i 0.130865 0.601576i −0.864268 0.503032i \(-0.832218\pi\)
0.995133 0.0985439i \(-0.0314185\pi\)
\(228\) −30.1867 + 2.15900i −0.132398 + 0.00946928i
\(229\) 45.6909i 0.199523i 0.995011 + 0.0997617i \(0.0318081\pi\)
−0.995011 + 0.0997617i \(0.968192\pi\)
\(230\) −157.000 + 42.4397i −0.682607 + 0.184521i
\(231\) −110.414 −0.477983
\(232\) 8.24529 + 115.284i 0.0355400 + 0.496915i
\(233\) −388.151 84.4370i −1.66588 0.362391i −0.721801 0.692101i \(-0.756685\pi\)
−0.944082 + 0.329711i \(0.893049\pi\)
\(234\) 262.890 37.7978i 1.12346 0.161529i
\(235\) 158.545 330.446i 0.674659 1.40615i
\(236\) −22.8289 + 158.779i −0.0967327 + 0.672791i
\(237\) −19.4732 + 35.6625i −0.0821654 + 0.150475i
\(238\) 11.0808 + 50.9377i 0.0465581 + 0.214024i
\(239\) 162.786 + 74.3417i 0.681112 + 0.311053i 0.725758 0.687950i \(-0.241489\pi\)
−0.0446469 + 0.999003i \(0.514216\pi\)
\(240\) 17.5217 7.60398i 0.0730070 0.0316832i
\(241\) −204.650 236.179i −0.849171 0.979996i 0.150792 0.988566i \(-0.451818\pi\)
−0.999963 + 0.00856957i \(0.997272\pi\)
\(242\) −55.1660 3.94555i −0.227959 0.0163039i
\(243\) 96.5724 + 176.859i 0.397417 + 0.727815i
\(244\) 12.3841 + 5.65562i 0.0507545 + 0.0231788i
\(245\) −136.050 105.927i −0.555305 0.432355i
\(246\) 75.6835 22.2227i 0.307656 0.0903360i
\(247\) 220.481 + 294.528i 0.892637 + 1.19242i
\(248\) 31.3888 84.1567i 0.126568 0.339341i
\(249\) 79.9175 11.4904i 0.320954 0.0461462i
\(250\) 156.369 + 82.4540i 0.625477 + 0.329816i
\(251\) 102.847 118.691i 0.409748 0.472874i −0.512939 0.858425i \(-0.671443\pi\)
0.922687 + 0.385551i \(0.125989\pi\)
\(252\) −104.510 + 104.510i −0.414720 + 0.414720i
\(253\) −245.243 + 156.694i −0.969339 + 0.619345i
\(254\) 196.028i 0.771765i
\(255\) −13.3611 13.8774i −0.0523965 0.0544210i
\(256\) 13.4601 8.65025i 0.0525783 0.0337901i
\(257\) 261.201 + 195.533i 1.01635 + 0.760828i 0.971227 0.238154i \(-0.0765423\pi\)
0.0451192 + 0.998982i \(0.485633\pi\)
\(258\) 20.0040 53.6329i 0.0775351 0.207880i
\(259\) 22.2101 + 3.19334i 0.0857535 + 0.0123295i
\(260\) −192.926 129.217i −0.742024 0.496987i
\(261\) 278.033 + 178.681i 1.06526 + 0.684602i
\(262\) −16.9000 45.3106i −0.0645038 0.172941i
\(263\) −31.0497 56.8633i −0.118060 0.216210i 0.811966 0.583705i \(-0.198397\pi\)
−0.930026 + 0.367495i \(0.880216\pi\)
\(264\) 25.8312 22.3828i 0.0978453 0.0847835i
\(265\) 255.767 + 41.7349i 0.965158 + 0.157490i
\(266\) −196.444 57.6812i −0.738512 0.216847i
\(267\) −29.7375 79.7292i −0.111376 0.298611i
\(268\) −13.8960 63.8788i −0.0518507 0.238354i
\(269\) −25.3271 86.2560i −0.0941526 0.320654i 0.898927 0.438099i \(-0.144348\pi\)
−0.993079 + 0.117444i \(0.962530\pi\)
\(270\) 26.6614 112.273i 0.0987459 0.415827i
\(271\) −29.0744 63.6641i −0.107286 0.234923i 0.848373 0.529398i \(-0.177582\pi\)
−0.955659 + 0.294475i \(0.904855\pi\)
\(272\) −12.9183 9.67050i −0.0474937 0.0355533i
\(273\) −197.990 43.0701i −0.725238 0.157766i
\(274\) −39.0987 33.8792i −0.142696 0.123647i
\(275\) 311.184 + 56.8513i 1.13158 + 0.206732i
\(276\) 9.45158 42.9024i 0.0342448 0.155443i
\(277\) −257.224 + 257.224i −0.928605 + 0.928605i −0.997616 0.0690109i \(-0.978016\pi\)
0.0690109 + 0.997616i \(0.478016\pi\)
\(278\) −232.018 + 16.5943i −0.834597 + 0.0596916i
\(279\) −138.859 216.069i −0.497702 0.774439i
\(280\) 129.039 6.77422i 0.460854 0.0241936i
\(281\) −180.548 395.345i −0.642520 1.40692i −0.897951 0.440095i \(-0.854945\pi\)
0.255431 0.966827i \(-0.417783\pi\)
\(282\) 59.3303 + 79.2560i 0.210391 + 0.281050i
\(283\) 349.915 + 191.068i 1.23645 + 0.675152i 0.958404 0.285417i \(-0.0921319\pi\)
0.278044 + 0.960568i \(0.410314\pi\)
\(284\) −34.7989 + 54.1482i −0.122531 + 0.190663i
\(285\) 72.9857 19.9363i 0.256090 0.0699520i
\(286\) −398.683 117.064i −1.39400 0.409314i
\(287\) 532.261 + 38.0681i 1.85457 + 0.132641i
\(288\) 3.26393 45.6357i 0.0113331 0.158457i
\(289\) 76.8355 261.678i 0.265867 0.905459i
\(290\) −76.1375 278.735i −0.262543 0.961156i
\(291\) 51.8754 + 33.3383i 0.178266 + 0.114565i
\(292\) −75.4214 + 138.124i −0.258292 + 0.473027i
\(293\) −89.5339 + 67.0243i −0.305577 + 0.228752i −0.741050 0.671450i \(-0.765672\pi\)
0.435473 + 0.900202i \(0.356581\pi\)
\(294\) 42.3665 19.3482i 0.144104 0.0658100i
\(295\) −21.0240 400.477i −0.0712679 1.35755i
\(296\) −5.84336 + 3.75530i −0.0197411 + 0.0126868i
\(297\) −14.7312 205.969i −0.0496001 0.693500i
\(298\) −173.158 173.158i −0.581067 0.581067i
\(299\) −500.881 + 185.314i −1.67519 + 0.619778i
\(300\) −39.2837 + 27.1472i −0.130946 + 0.0904907i
\(301\) 253.593 292.662i 0.842503 0.972300i
\(302\) 3.57678 16.4422i 0.0118436 0.0544444i
\(303\) −55.0624 + 73.5547i −0.181724 + 0.242755i
\(304\) 57.6507 26.3282i 0.189641 0.0866059i
\(305\) −33.1151 7.86379i −0.108574 0.0257829i
\(306\) −44.2746 + 13.0002i −0.144688 + 0.0424843i
\(307\) −485.475 + 105.609i −1.58135 + 0.344002i −0.915575 0.402148i \(-0.868264\pi\)
−0.665778 + 0.746150i \(0.731900\pi\)
\(308\) 216.649 80.8058i 0.703405 0.262357i
\(309\) 30.0733 102.420i 0.0973245 0.331457i
\(310\) −36.1628 + 221.619i −0.116654 + 0.714899i
\(311\) −37.8602 43.6930i −0.121737 0.140492i 0.691609 0.722272i \(-0.256902\pi\)
−0.813346 + 0.581780i \(0.802357\pi\)
\(312\) 55.0504 30.0598i 0.176443 0.0963454i
\(313\) −34.6715 + 12.9318i −0.110772 + 0.0413157i −0.404239 0.914653i \(-0.632464\pi\)
0.293467 + 0.955969i \(0.405191\pi\)
\(314\) 103.084 160.401i 0.328292 0.510832i
\(315\) 205.620 306.999i 0.652760 0.974601i
\(316\) 12.1099 84.2263i 0.0383225 0.266539i
\(317\) 223.903 + 83.5116i 0.706319 + 0.263443i 0.676849 0.736122i \(-0.263345\pi\)
0.0294706 + 0.999566i \(0.490618\pi\)
\(318\) −41.9506 + 56.0395i −0.131920 + 0.176225i
\(319\) −279.543 434.977i −0.876309 1.36356i
\(320\) −28.8152 + 27.7432i −0.0900474 + 0.0866976i
\(321\) 127.801 0.398134
\(322\) 161.337 249.594i 0.501048 0.775137i
\(323\) −45.1986 45.1986i −0.139934 0.139934i
\(324\) −86.4667 74.9238i −0.266872 0.231246i
\(325\) 535.825 + 223.329i 1.64869 + 0.687166i
\(326\) −8.25359 57.4050i −0.0253178 0.176089i
\(327\) −142.690 53.2206i −0.436361 0.162754i
\(328\) −132.239 + 98.9925i −0.403166 + 0.301806i
\(329\) 188.694 + 642.634i 0.573539 + 1.95330i
\(330\) −52.4946 + 67.4227i −0.159075 + 0.204311i
\(331\) −84.3651 + 184.734i −0.254879 + 0.558108i −0.993211 0.116330i \(-0.962887\pi\)
0.738331 + 0.674438i \(0.235614\pi\)
\(332\) −148.401 + 81.0329i −0.446990 + 0.244075i
\(333\) −1.41696 + 19.8116i −0.00425512 + 0.0594944i
\(334\) −322.846 + 279.748i −0.966605 + 0.837568i
\(335\) 65.0628 + 149.923i 0.194217 + 0.447530i
\(336\) −14.4998 + 31.7500i −0.0431540 + 0.0944942i
\(337\) 509.249 110.780i 1.51113 0.328725i 0.620771 0.783992i \(-0.286820\pi\)
0.890355 + 0.455267i \(0.150456\pi\)
\(338\) −459.470 250.889i −1.35938 0.742276i
\(339\) 94.6568 + 13.6096i 0.279224 + 0.0401463i
\(340\) 36.3725 + 17.4512i 0.106978 + 0.0513270i
\(341\) 57.1852 + 397.732i 0.167699 + 1.16637i
\(342\) 38.5233 177.089i 0.112641 0.517803i
\(343\) −132.288 + 9.46140i −0.385678 + 0.0275843i
\(344\) 119.875i 0.348475i
\(345\) −2.37117 + 109.802i −0.00687294 + 0.318268i
\(346\) 68.6328 0.198361
\(347\) 36.1594 + 505.574i 0.104206 + 1.45699i 0.733432 + 0.679763i \(0.237917\pi\)
−0.629226 + 0.777222i \(0.716628\pi\)
\(348\) 76.2671 + 16.5909i 0.219158 + 0.0476750i
\(349\) 562.914 80.9348i 1.61293 0.231905i 0.723953 0.689849i \(-0.242323\pi\)
0.888981 + 0.457944i \(0.151414\pi\)
\(350\) −313.182 + 79.2012i −0.894807 + 0.226289i
\(351\) 53.9286 375.082i 0.153643 1.06861i
\(352\) −34.3038 + 62.8228i −0.0974540 + 0.178474i
\(353\) −59.9190 275.443i −0.169742 0.780293i −0.980752 0.195259i \(-0.937445\pi\)
0.811009 0.585033i \(-0.198919\pi\)
\(354\) 98.5374 + 45.0005i 0.278354 + 0.127120i
\(355\) 59.0810 149.677i 0.166425 0.421625i
\(356\) 116.699 + 134.677i 0.327805 + 0.378307i
\(357\) 35.1133 + 2.51135i 0.0983566 + 0.00703460i
\(358\) −117.238 214.706i −0.327481 0.599736i
\(359\) −67.8203 30.9725i −0.188914 0.0862743i 0.318712 0.947852i \(-0.396750\pi\)
−0.507626 + 0.861577i \(0.669477\pi\)
\(360\) 14.1297 + 113.504i 0.0392493 + 0.315290i
\(361\) −105.498 + 30.9769i −0.292237 + 0.0858085i
\(362\) 272.658 + 364.228i 0.753199 + 1.00616i
\(363\) −13.0521 + 34.9941i −0.0359563 + 0.0964026i
\(364\) 420.006 60.3877i 1.15386 0.165900i
\(365\) 117.977 375.330i 0.323225 1.02830i
\(366\) 6.02070 6.94826i 0.0164500 0.0189843i
\(367\) −383.416 + 383.416i −1.04473 + 1.04473i −0.0457792 + 0.998952i \(0.514577\pi\)
−0.998952 + 0.0457792i \(0.985423\pi\)
\(368\) 12.8524 + 91.0978i 0.0349251 + 0.247548i
\(369\) 472.353i 1.28009i
\(370\) 12.5094 12.0441i 0.0338092 0.0325515i
\(371\) −398.392 + 256.031i −1.07383 + 0.690111i
\(372\) −48.5575 36.3497i −0.130531 0.0977141i
\(373\) 77.4426 207.632i 0.207621 0.556653i −0.790845 0.612016i \(-0.790359\pi\)
0.998466 + 0.0553628i \(0.0176316\pi\)
\(374\) 71.4561 + 10.2738i 0.191059 + 0.0274701i
\(375\) 83.1762 85.6322i 0.221803 0.228353i
\(376\) −174.418 112.091i −0.463877 0.298115i
\(377\) −331.589 889.024i −0.879546 2.35815i
\(378\) 101.061 + 185.080i 0.267357 + 0.489629i
\(379\) −110.207 + 95.4951i −0.290784 + 0.251966i −0.788020 0.615649i \(-0.788894\pi\)
0.497236 + 0.867615i \(0.334348\pi\)
\(380\) −128.618 + 92.5320i −0.338469 + 0.243505i
\(381\) −127.017 37.2954i −0.333377 0.0978883i
\(382\) 70.0963 + 187.935i 0.183498 + 0.491978i
\(383\) −11.3423 52.1399i −0.0296145 0.136135i 0.959966 0.280117i \(-0.0903732\pi\)
−0.989580 + 0.143981i \(0.954010\pi\)
\(384\) −3.04409 10.3672i −0.00792731 0.0269979i
\(385\) −492.138 + 303.257i −1.27828 + 0.787680i
\(386\) −135.914 297.610i −0.352109 0.771011i
\(387\) 274.414 + 205.424i 0.709080 + 0.530811i
\(388\) −126.185 27.4500i −0.325220 0.0707474i
\(389\) 101.898 + 88.2955i 0.261950 + 0.226981i 0.775926 0.630823i \(-0.217283\pi\)
−0.513977 + 0.857804i \(0.671828\pi\)
\(390\) −120.431 + 100.422i −0.308798 + 0.257493i
\(391\) 81.5547 44.2530i 0.208580 0.113179i
\(392\) −68.9696 + 68.9696i −0.175943 + 0.175943i
\(393\) −32.5744 + 2.32976i −0.0828864 + 0.00592815i
\(394\) 80.1650 + 124.739i 0.203464 + 0.316597i
\(395\) 11.1525 + 212.439i 0.0282341 + 0.537819i
\(396\) 85.0268 + 186.183i 0.214714 + 0.470158i
\(397\) 3.38782 + 4.52560i 0.00853356 + 0.0113995i 0.804788 0.593563i \(-0.202279\pi\)
−0.796254 + 0.604962i \(0.793188\pi\)
\(398\) 438.260 + 239.308i 1.10115 + 0.601276i
\(399\) −74.7492 + 116.312i −0.187341 + 0.291509i
\(400\) 57.2129 82.0163i 0.143032 0.205041i
\(401\) 152.879 + 44.8893i 0.381244 + 0.111943i 0.466739 0.884395i \(-0.345429\pi\)
−0.0854946 + 0.996339i \(0.527247\pi\)
\(402\) −44.0341 3.14938i −0.109537 0.00783427i
\(403\) −52.6042 + 735.502i −0.130531 + 1.82507i
\(404\) 54.2099 184.622i 0.134183 0.456985i
\(405\) 248.399 + 141.812i 0.613332 + 0.350153i
\(406\) 444.200 + 285.470i 1.09409 + 0.703128i
\(407\) 14.8922 27.2730i 0.0365901 0.0670098i
\(408\) −8.72378 + 6.53054i −0.0213818 + 0.0160062i
\(409\) −287.869 + 131.465i −0.703836 + 0.321431i −0.734985 0.678084i \(-0.762811\pi\)
0.0311490 + 0.999515i \(0.490083\pi\)
\(410\) 276.301 306.918i 0.673904 0.748581i
\(411\) −29.3908 + 18.8883i −0.0715104 + 0.0459569i
\(412\) 15.9473 + 222.972i 0.0387070 + 0.541195i
\(413\) 518.196 + 518.196i 1.25471 + 1.25471i
\(414\) 230.562 + 126.688i 0.556913 + 0.306009i
\(415\) 324.649 270.712i 0.782288 0.652317i
\(416\) −86.0178 + 99.2699i −0.206774 + 0.238630i
\(417\) −33.3904 + 153.493i −0.0800729 + 0.368089i
\(418\) −169.914 + 226.978i −0.406492 + 0.543010i
\(419\) 74.4459 33.9983i 0.177675 0.0811415i −0.324592 0.945854i \(-0.605227\pi\)
0.502267 + 0.864713i \(0.332500\pi\)
\(420\) 20.1610 84.8997i 0.0480024 0.202142i
\(421\) −277.590 + 81.5077i −0.659358 + 0.193605i −0.594259 0.804274i \(-0.702555\pi\)
−0.0650993 + 0.997879i \(0.520736\pi\)
\(422\) −206.337 + 44.8859i −0.488950 + 0.106365i
\(423\) −555.484 + 207.185i −1.31320 + 0.489799i
\(424\) 41.3012 140.659i 0.0974084 0.331743i
\(425\) −97.6678 25.1573i −0.229807 0.0591937i
\(426\) 28.4647 + 32.8500i 0.0668184 + 0.0771126i
\(427\) 54.5893 29.8080i 0.127844 0.0698080i
\(428\) −250.765 + 93.5304i −0.585899 + 0.218529i
\(429\) −151.703 + 236.055i −0.353620 + 0.550244i
\(430\) −58.1428 293.994i −0.135216 0.683708i
\(431\) 2.74859 19.1168i 0.00637723 0.0443546i −0.986384 0.164456i \(-0.947413\pi\)
0.992762 + 0.120102i \(0.0383221\pi\)
\(432\) −61.1618 22.8122i −0.141578 0.0528060i
\(433\) −327.020 + 436.847i −0.755241 + 1.00888i 0.243994 + 0.969777i \(0.421542\pi\)
−0.999235 + 0.0391076i \(0.987548\pi\)
\(434\) −221.848 345.202i −0.511170 0.795396i
\(435\) −195.092 3.69754i −0.448488 0.00850009i
\(436\) 318.928 0.731486
\(437\) −0.962435 + 364.423i −0.00220237 + 0.833919i
\(438\) 75.1481 + 75.1481i 0.171571 + 0.171571i
\(439\) −85.4176 74.0148i −0.194573 0.168599i 0.552126 0.833761i \(-0.313817\pi\)
−0.746699 + 0.665162i \(0.768362\pi\)
\(440\) 53.6593 170.711i 0.121953 0.387980i
\(441\) 39.6931 + 276.071i 0.0900070 + 0.626012i
\(442\) 124.124 + 46.2960i 0.280824 + 0.104742i
\(443\) 158.773 118.856i 0.358405 0.268298i −0.404868 0.914375i \(-0.632682\pi\)
0.763272 + 0.646077i \(0.223591\pi\)
\(444\) 1.32152 + 4.50067i 0.00297639 + 0.0101367i
\(445\) −351.525 273.694i −0.789944 0.615042i
\(446\) −96.2640 + 210.789i −0.215839 + 0.472621i
\(447\) −145.142 + 79.2535i −0.324702 + 0.177301i
\(448\) 5.21461 72.9098i 0.0116398 0.162745i
\(449\) 542.012 469.656i 1.20715 1.04601i 0.209482 0.977812i \(-0.432822\pi\)
0.997672 0.0681926i \(-0.0217232\pi\)
\(450\) −89.7059 271.516i −0.199346 0.603369i
\(451\) 306.985 672.204i 0.680677 1.49048i
\(452\) −195.691 + 42.5699i −0.432944 + 0.0941812i
\(453\) −9.97322 5.44579i −0.0220159 0.0120216i
\(454\) 195.627 + 28.1269i 0.430896 + 0.0619535i
\(455\) −1000.77 + 351.815i −2.19950 + 0.773219i
\(456\) −6.09101 42.3639i −0.0133575 0.0929032i
\(457\) 56.2950 258.784i 0.123184 0.566267i −0.873636 0.486580i \(-0.838244\pi\)
0.996820 0.0796872i \(-0.0253921\pi\)
\(458\) −64.4520 + 4.60970i −0.140725 + 0.0100648i
\(459\) 65.8363i 0.143434i
\(460\) −75.7055 217.184i −0.164577 0.472138i
\(461\) 799.205 1.73363 0.866817 0.498627i \(-0.166162\pi\)
0.866817 + 0.498627i \(0.166162\pi\)
\(462\) −11.1396 155.751i −0.0241116 0.337124i
\(463\) 172.608 + 37.5485i 0.372803 + 0.0810983i 0.395063 0.918654i \(-0.370723\pi\)
−0.0222605 + 0.999752i \(0.507086\pi\)
\(464\) −161.789 + 23.2618i −0.348684 + 0.0501331i
\(465\) 136.718 + 65.5958i 0.294016 + 0.141066i
\(466\) 79.9476 556.048i 0.171561 1.19324i
\(467\) −109.679 + 200.862i −0.234859 + 0.430112i −0.968353 0.249583i \(-0.919706\pi\)
0.733494 + 0.679696i \(0.237888\pi\)
\(468\) 79.8407 + 367.022i 0.170600 + 0.784234i
\(469\) −271.667 124.066i −0.579246 0.264533i
\(470\) 482.126 + 190.307i 1.02580 + 0.404908i
\(471\) −84.3198 97.3103i −0.179023 0.206604i
\(472\) −226.278 16.1837i −0.479403 0.0342875i
\(473\) −257.012 470.682i −0.543365 0.995099i
\(474\) −52.2705 23.8711i −0.110275 0.0503611i
\(475\) 270.556 289.318i 0.569591 0.609091i
\(476\) −70.7353 + 20.7698i −0.148604 + 0.0436340i
\(477\) −251.215 335.584i −0.526656 0.703530i
\(478\) −88.4439 + 237.127i −0.185029 + 0.496082i
\(479\) 872.703 125.476i 1.82193 0.261954i 0.855299 0.518135i \(-0.173373\pi\)
0.966629 + 0.256181i \(0.0824643\pi\)
\(480\) 12.4940 + 23.9491i 0.0260291 + 0.0498939i
\(481\) 37.3426 43.0956i 0.0776353 0.0895959i
\(482\) 312.510 312.510i 0.648360 0.648360i
\(483\) −131.029 152.025i −0.271282 0.314752i
\(484\) 78.2157i 0.161603i
\(485\) 322.784 + 6.11765i 0.665533 + 0.0126137i
\(486\) −239.736 + 154.069i −0.493284 + 0.317015i
\(487\) 62.9358 + 47.1132i 0.129232 + 0.0967416i 0.661938 0.749558i \(-0.269734\pi\)
−0.532707 + 0.846300i \(0.678825\pi\)
\(488\) −6.72846 + 18.0397i −0.0137878 + 0.0369666i
\(489\) −38.7659 5.57369i −0.0792758 0.0113981i
\(490\) 135.696 202.600i 0.276930 0.413469i
\(491\) −417.604 268.378i −0.850518 0.546595i 0.0412181 0.999150i \(-0.486876\pi\)
−0.891736 + 0.452555i \(0.850513\pi\)
\(492\) 38.9831 + 104.518i 0.0792340 + 0.212435i
\(493\) 79.0051 + 144.687i 0.160254 + 0.293483i
\(494\) −393.221 + 340.728i −0.795993 + 0.689732i
\(495\) −298.832 415.372i −0.603700 0.839136i
\(496\) 121.879 + 35.7869i 0.245724 + 0.0721511i
\(497\) 102.762 + 275.516i 0.206765 + 0.554358i
\(498\) 24.2713 + 111.573i 0.0487375 + 0.224043i
\(499\) 31.6096 + 107.652i 0.0633459 + 0.215736i 0.985083 0.172078i \(-0.0550482\pi\)
−0.921737 + 0.387815i \(0.873230\pi\)
\(500\) −100.534 + 228.895i −0.201069 + 0.457790i
\(501\) 119.839 + 262.412i 0.239200 + 0.523776i
\(502\) 177.803 + 133.102i 0.354190 + 0.265143i
\(503\) −664.777 144.613i −1.32162 0.287502i −0.504224 0.863573i \(-0.668221\pi\)
−0.817400 + 0.576071i \(0.804585\pi\)
\(504\) −157.966 136.878i −0.313425 0.271584i
\(505\) −43.4031 + 479.079i −0.0859467 + 0.948671i
\(506\) −245.777 330.133i −0.485725 0.652437i
\(507\) −249.980 + 249.980i −0.493058 + 0.493058i
\(508\) 276.519 19.7771i 0.544330 0.0389312i
\(509\) 172.078 + 267.759i 0.338072 + 0.526050i 0.968114 0.250511i \(-0.0805987\pi\)
−0.630042 + 0.776561i \(0.716962\pi\)
\(510\) 18.2276 20.2474i 0.0357403 0.0397008i
\(511\) 298.668 + 653.992i 0.584478 + 1.27983i
\(512\) 13.5601 + 18.1142i 0.0264846 + 0.0353793i
\(513\) −226.944 123.921i −0.442386 0.241561i
\(514\) −249.468 + 388.180i −0.485347 + 0.755214i
\(515\) −147.258 539.104i −0.285938 1.04680i
\(516\) 77.6733 + 22.8070i 0.150530 + 0.0441995i
\(517\) 925.160 + 66.1687i 1.78948 + 0.127986i
\(518\) −2.26380 + 31.6520i −0.00437027 + 0.0611043i
\(519\) 13.0578 44.4707i 0.0251595 0.0856853i
\(520\) 162.810 285.180i 0.313096 0.548423i
\(521\) −789.569 507.426i −1.51549 0.973945i −0.992585 0.121553i \(-0.961212\pi\)
−0.522904 0.852392i \(-0.675151\pi\)
\(522\) −223.999 + 410.224i −0.429117 + 0.785869i
\(523\) −472.469 + 353.686i −0.903383 + 0.676264i −0.946465 0.322807i \(-0.895373\pi\)
0.0430816 + 0.999072i \(0.486282\pi\)
\(524\) 62.2106 28.4106i 0.118723 0.0542188i
\(525\) −8.26620 + 217.995i −0.0157451 + 0.415229i
\(526\) 77.0794 49.5359i 0.146539 0.0941747i
\(527\) −9.13937 127.785i −0.0173423 0.242477i
\(528\) 34.1795 + 34.1795i 0.0647340 + 0.0647340i
\(529\) −506.778 151.715i −0.957991 0.286797i
\(530\) −33.0677 + 364.998i −0.0623919 + 0.688675i
\(531\) −424.807 + 490.253i −0.800013 + 0.923264i
\(532\) 61.5467 282.926i 0.115689 0.531815i
\(533\) 812.684 1085.62i 1.52474 2.03681i
\(534\) 109.467 49.9918i 0.204994 0.0936175i
\(535\) 569.635 351.011i 1.06474 0.656095i
\(536\) 88.7061 26.0465i 0.165496 0.0485942i
\(537\) −161.424 + 35.1156i −0.300603 + 0.0653922i
\(538\) 119.118 44.4289i 0.221410 0.0825815i
\(539\) 122.934 418.674i 0.228077 0.776760i
\(540\) 161.064 + 26.2817i 0.298266 + 0.0486698i
\(541\) 27.7419 + 32.0158i 0.0512788 + 0.0591789i 0.780810 0.624769i \(-0.214807\pi\)
−0.729531 + 0.683948i \(0.760261\pi\)
\(542\) 86.8720 47.4357i 0.160280 0.0875197i
\(543\) 287.877 107.372i 0.530159 0.197739i
\(544\) 12.3380 19.1983i 0.0226801 0.0352910i
\(545\) −782.170 + 154.689i −1.43517 + 0.283832i
\(546\) 40.7801 283.632i 0.0746888 0.519472i
\(547\) −447.255 166.818i −0.817651 0.304968i −0.0943833 0.995536i \(-0.530088\pi\)
−0.723268 + 0.690568i \(0.757361\pi\)
\(548\) 43.8457 58.5711i 0.0800105 0.106881i
\(549\) 29.7656 + 46.3161i 0.0542178 + 0.0843646i
\(550\) −48.8000 + 444.695i −0.0887273 + 0.808536i
\(551\) −647.458 −1.17506
\(552\) 61.4721 + 9.00412i 0.111363 + 0.0163118i
\(553\) −274.884 274.884i −0.497078 0.497078i
\(554\) −388.793 336.891i −0.701793 0.608107i
\(555\) −5.42397 10.3969i −0.00977291 0.0187332i
\(556\) −46.8161 325.613i −0.0842015 0.585635i
\(557\) −537.743 200.568i −0.965427 0.360086i −0.183197 0.983076i \(-0.558645\pi\)
−0.782229 + 0.622991i \(0.785917\pi\)
\(558\) 290.779 217.675i 0.521110 0.390098i
\(559\) −277.260 944.260i −0.495993 1.68920i
\(560\) 22.5744 + 181.340i 0.0403114 + 0.323822i
\(561\) 20.2518 44.3453i 0.0360995 0.0790469i
\(562\) 539.463 294.569i 0.959898 0.524144i
\(563\) 18.8087 262.980i 0.0334080 0.467105i −0.953020 0.302909i \(-0.902042\pi\)
0.986428 0.164197i \(-0.0525031\pi\)
\(564\) −105.814 + 91.6879i −0.187613 + 0.162567i
\(565\) 459.283 199.318i 0.812891 0.352775i
\(566\) −234.220 + 512.870i −0.413816 + 0.906131i
\(567\) −510.745 + 111.106i −0.900785 + 0.195954i
\(568\) −79.8928 43.6248i −0.140656 0.0768042i
\(569\) 657.697 + 94.5626i 1.15588 + 0.166191i 0.693478 0.720478i \(-0.256078\pi\)
0.462405 + 0.886669i \(0.346987\pi\)
\(570\) 35.4858 + 100.943i 0.0622558 + 0.177093i
\(571\) −12.0206 83.6052i −0.0210519 0.146419i 0.976584 0.215135i \(-0.0690190\pi\)
−0.997636 + 0.0687156i \(0.978110\pi\)
\(572\) 124.909 574.197i 0.218372 1.00384i
\(573\) 135.109 9.66319i 0.235792 0.0168642i
\(574\) 754.654i 1.31473i
\(575\) 291.007 + 495.923i 0.506100 + 0.862475i
\(576\) 64.7034 0.112332
\(577\) 1.85736 + 25.9694i 0.00321900 + 0.0450075i 0.998808 0.0488173i \(-0.0155452\pi\)
−0.995589 + 0.0938248i \(0.970091\pi\)
\(578\) 376.877 + 81.9846i 0.652036 + 0.141842i
\(579\) −218.695 + 31.4436i −0.377712 + 0.0543067i
\(580\) 385.505 135.522i 0.664664 0.233658i
\(581\) −109.932 + 764.594i −0.189212 + 1.31600i
\(582\) −41.7937 + 76.5394i −0.0718105 + 0.131511i
\(583\) 139.405 + 640.835i 0.239117 + 1.09920i
\(584\) −202.448 92.4550i −0.346658 0.158313i
\(585\) −373.824 861.395i −0.639016 1.47247i
\(586\) −103.578 119.535i −0.176754 0.203985i
\(587\) −500.857 35.8220i −0.853250 0.0610256i −0.362140 0.932124i \(-0.617954\pi\)
−0.491109 + 0.871098i \(0.663408\pi\)
\(588\) 31.5670 + 57.8107i 0.0536854 + 0.0983175i
\(589\) 457.691 + 209.020i 0.777064 + 0.354873i
\(590\) 562.796 70.0604i 0.953892 0.118746i
\(591\) 96.0766 28.2106i 0.162566 0.0477337i
\(592\) −5.88680 7.86384i −0.00994391 0.0132835i
\(593\) 240.134 643.824i 0.404948 1.08571i −0.561192 0.827686i \(-0.689657\pi\)
0.966139 0.258021i \(-0.0830702\pi\)
\(594\) 289.056 41.5600i 0.486627 0.0699664i
\(595\) 163.404 85.2464i 0.274629 0.143271i
\(596\) 226.789 261.728i 0.380518 0.439141i
\(597\) 238.441 238.441i 0.399398 0.399398i
\(598\) −311.939 687.852i −0.521637 1.15025i
\(599\) 475.856i 0.794418i 0.917728 + 0.397209i \(0.130021\pi\)
−0.917728 + 0.397209i \(0.869979\pi\)
\(600\) −42.2574 52.6752i −0.0704291 0.0877920i
\(601\) −226.916 + 145.830i −0.377565 + 0.242646i −0.715635 0.698475i \(-0.753862\pi\)
0.338070 + 0.941121i \(0.390226\pi\)
\(602\) 438.417 + 328.195i 0.728268 + 0.545175i
\(603\) 92.3861 247.697i 0.153211 0.410774i
\(604\) 23.5544 + 3.38661i 0.0389973 + 0.00560697i
\(605\) 37.9367 + 191.824i 0.0627054 + 0.317064i
\(606\) −109.312 70.2507i −0.180383 0.115925i
\(607\) −128.659 344.948i −0.211958 0.568283i 0.786847 0.617148i \(-0.211712\pi\)
−0.998805 + 0.0488656i \(0.984439\pi\)
\(608\) 42.9551 + 78.6665i 0.0706499 + 0.129386i
\(609\) 269.482 233.507i 0.442499 0.383427i
\(610\) 7.75180 47.5059i 0.0127079 0.0778785i
\(611\) 1633.15 + 479.535i 2.67291 + 0.784836i
\(612\) −22.8050 61.1427i −0.0372631 0.0999063i
\(613\) −94.4617 434.233i −0.154097 0.708374i −0.987745 0.156077i \(-0.950115\pi\)
0.833648 0.552297i \(-0.186248\pi\)
\(614\) −197.952 674.162i −0.322397 1.09798i
\(615\) −146.300 237.422i −0.237886 0.386052i
\(616\) 135.843 + 297.455i 0.220524 + 0.482881i
\(617\) 749.284 + 560.907i 1.21440 + 0.909087i 0.997742 0.0671609i \(-0.0213941\pi\)
0.216656 + 0.976248i \(0.430485\pi\)
\(618\) 147.509 + 32.0886i 0.238688 + 0.0519233i
\(619\) −228.199 197.735i −0.368657 0.319443i 0.450756 0.892647i \(-0.351155\pi\)
−0.819412 + 0.573205i \(0.805700\pi\)
\(620\) −316.266 28.6527i −0.510106 0.0462141i
\(621\) 266.110 264.708i 0.428518 0.426261i
\(622\) 57.8141 57.8141i 0.0929487 0.0929487i
\(623\) 812.049 58.0789i 1.30345 0.0932245i
\(624\) 47.9566 + 74.6219i 0.0768535 + 0.119586i
\(625\) 135.541 610.126i 0.216865 0.976202i
\(626\) −21.7397 47.6034i −0.0347280 0.0760437i
\(627\) 114.744 + 153.279i 0.183004 + 0.244465i
\(628\) 236.664 + 129.228i 0.376853 + 0.205777i
\(629\) −5.35625 + 8.33449i −0.00851550 + 0.0132504i
\(630\) 453.801 + 259.076i 0.720319 + 0.411232i
\(631\) 65.4746 + 19.2251i 0.103763 + 0.0304676i 0.333202 0.942855i \(-0.391871\pi\)
−0.229439 + 0.973323i \(0.573689\pi\)
\(632\) 120.032 + 8.58488i 0.189925 + 0.0135837i
\(633\) −10.1729 + 142.236i −0.0160710 + 0.224701i
\(634\) −95.2130 + 324.266i −0.150178 + 0.511460i
\(635\) −668.571 + 182.623i −1.05287 + 0.287595i
\(636\) −83.2822 53.5222i −0.130947 0.0841544i
\(637\) 383.754 702.794i 0.602440 1.10329i
\(638\) 585.380 438.210i 0.917523 0.686849i
\(639\) −236.772 + 108.130i −0.370535 + 0.169218i
\(640\) −42.0420 37.8480i −0.0656906 0.0591375i
\(641\) −740.322 + 475.776i −1.15495 + 0.742240i −0.970618 0.240624i \(-0.922648\pi\)
−0.184330 + 0.982864i \(0.559012\pi\)
\(642\) 12.8937 + 180.278i 0.0200837 + 0.280806i
\(643\) −427.344 427.344i −0.664610 0.664610i 0.291853 0.956463i \(-0.405728\pi\)
−0.956463 + 0.291853i \(0.905728\pi\)
\(644\) 368.357 + 202.403i 0.571983 + 0.314290i
\(645\) −201.556 18.2603i −0.312490 0.0283106i
\(646\) 59.1976 68.3176i 0.0916371 0.105755i
\(647\) −169.609 + 779.681i −0.262147 + 1.20507i 0.638190 + 0.769879i \(0.279683\pi\)
−0.900337 + 0.435193i \(0.856680\pi\)
\(648\) 96.9648 129.530i 0.149637 0.199892i
\(649\) 923.161 421.593i 1.42244 0.649605i
\(650\) −260.971 + 778.371i −0.401494 + 1.19749i
\(651\) −265.881 + 78.0698i −0.408420 + 0.119923i
\(652\) 80.1434 17.4341i 0.122919 0.0267395i
\(653\) −791.119 + 295.072i −1.21151 + 0.451872i −0.872362 0.488860i \(-0.837413\pi\)
−0.339152 + 0.940731i \(0.610140\pi\)
\(654\) 60.6777 206.649i 0.0927794 0.315978i
\(655\) −138.792 + 99.8509i −0.211895 + 0.152444i
\(656\) −152.981 176.550i −0.233203 0.269131i
\(657\) −558.568 + 305.001i −0.850180 + 0.464233i
\(658\) −887.469 + 331.009i −1.34874 + 0.503053i
\(659\) 104.401 162.451i 0.158423 0.246511i −0.752964 0.658062i \(-0.771376\pi\)
0.911387 + 0.411551i \(0.135013\pi\)
\(660\) −100.403 67.2473i −0.152126 0.101890i
\(661\) 110.678 769.784i 0.167441 1.16457i −0.716710 0.697372i \(-0.754353\pi\)
0.884150 0.467203i \(-0.154738\pi\)
\(662\) −269.099 100.369i −0.406494 0.151614i
\(663\) 53.6128 71.6183i 0.0808640 0.108022i
\(664\) −129.278 201.160i −0.194696 0.302952i
\(665\) −13.7166 + 723.727i −0.0206265 + 1.08831i
\(666\) −28.0894 −0.0421763
\(667\) 267.168 901.081i 0.400552 1.35095i
\(668\) −427.186 427.186i −0.639501 0.639501i
\(669\) 118.266 + 102.478i 0.176780 + 0.153181i
\(670\) −204.918 + 106.904i −0.305848 + 0.159558i
\(671\) −12.2581 85.2573i −0.0182685 0.127060i
\(672\) −46.2498 17.2503i −0.0688241 0.0256701i
\(673\) −45.8550 + 34.3266i −0.0681352 + 0.0510053i −0.632802 0.774313i \(-0.718095\pi\)
0.564667 + 0.825319i \(0.309005\pi\)
\(674\) 207.646 + 707.176i 0.308080 + 1.04922i
\(675\) −407.756 + 13.6645i −0.604083 + 0.0202436i
\(676\) 307.552 673.445i 0.454958 0.996220i
\(677\) 678.707 370.602i 1.00252 0.547418i 0.107862 0.994166i \(-0.465600\pi\)
0.894660 + 0.446748i \(0.147418\pi\)
\(678\) −9.64802 + 134.897i −0.0142301 + 0.198963i
\(679\) −445.863 + 386.342i −0.656646 + 0.568987i
\(680\) −20.9472 + 53.0681i −0.0308048 + 0.0780413i
\(681\) 55.4438 121.405i 0.0814153 0.178275i
\(682\) −555.276 + 120.793i −0.814187 + 0.177116i
\(683\) 149.691 + 81.7377i 0.219168 + 0.119675i 0.585083 0.810974i \(-0.301062\pi\)
−0.365915 + 0.930648i \(0.619244\pi\)
\(684\) 253.690 + 36.4751i 0.370892 + 0.0533262i
\(685\) −79.1231 + 164.912i −0.115508 + 0.240747i
\(686\) −26.6927 185.652i −0.0389106 0.270629i
\(687\) −9.27548 + 42.6387i −0.0135014 + 0.0620651i
\(688\) −169.098 + 12.0941i −0.245781 + 0.0175786i
\(689\) 1203.50i 1.74673i
\(690\) −155.127 + 7.73304i −0.224822 + 0.0112073i
\(691\) 80.5746 0.116606 0.0583029 0.998299i \(-0.481431\pi\)
0.0583029 + 0.998299i \(0.481431\pi\)
\(692\) 6.92429 + 96.8142i 0.0100062 + 0.139905i
\(693\) 913.707 + 198.765i 1.31848 + 0.286818i
\(694\) −709.520 + 102.014i −1.02236 + 0.146994i
\(695\) 272.747 + 775.858i 0.392442 + 1.11634i
\(696\) −15.7088 + 109.257i −0.0225701 + 0.156979i
\(697\) −112.915 + 206.788i −0.162001 + 0.296683i
\(698\) 170.959 + 785.887i 0.244927 + 1.12591i
\(699\) −345.081 157.593i −0.493678 0.225455i
\(700\) −143.319 433.788i −0.204741 0.619697i
\(701\) −275.337 317.755i −0.392777 0.453289i 0.524576 0.851364i \(-0.324224\pi\)
−0.917353 + 0.398075i \(0.869678\pi\)
\(702\) 534.535 + 38.2307i 0.761445 + 0.0544596i
\(703\) −18.6479 34.1512i −0.0265262 0.0485792i
\(704\) −92.0793 42.0512i −0.130794 0.0597318i
\(705\) 215.036 276.187i 0.305016 0.391755i
\(706\) 382.498 112.312i 0.541782 0.159081i
\(707\) −526.797 703.719i −0.745117 0.995359i
\(708\) −53.5369 + 143.538i −0.0756170 + 0.202737i
\(709\) 308.222 44.3156i 0.434728 0.0625044i 0.0785228 0.996912i \(-0.474980\pi\)
0.356205 + 0.934408i \(0.384071\pi\)
\(710\) 217.096 + 68.2395i 0.305769 + 0.0961120i
\(711\) 225.345 260.062i 0.316940 0.365769i
\(712\) −178.204 + 178.204i −0.250286 + 0.250286i
\(713\) −479.760 + 550.727i −0.672876 + 0.772409i
\(714\) 49.7845i 0.0697262i
\(715\) −27.8379 + 1468.80i −0.0389341 + 2.05427i
\(716\) 291.038 187.039i 0.406478 0.261227i
\(717\) 136.820 + 102.422i 0.190823 + 0.142848i
\(718\) 36.8478 98.7927i 0.0513200 0.137594i
\(719\) −333.750 47.9859i −0.464186 0.0667398i −0.0937456 0.995596i \(-0.529884\pi\)
−0.370440 + 0.928856i \(0.620793\pi\)
\(720\) −158.685 + 31.3829i −0.220396 + 0.0435874i
\(721\) 859.131 + 552.130i 1.19158 + 0.765784i
\(722\) −54.3398 145.691i −0.0752629 0.201788i
\(723\) −143.034 261.947i −0.197834 0.362306i
\(724\) −486.276 + 421.361i −0.671652 + 0.581990i
\(725\) −879.719 + 519.347i −1.21341 + 0.716341i
\(726\) −50.6799 14.8810i −0.0698070 0.0204972i
\(727\) −92.3075 247.486i −0.126970 0.340421i 0.857874 0.513860i \(-0.171785\pi\)
−0.984845 + 0.173439i \(0.944512\pi\)
\(728\) 127.557 + 586.372i 0.175216 + 0.805456i
\(729\) −90.8329 309.348i −0.124599 0.424346i
\(730\) 541.347 + 128.553i 0.741571 + 0.176100i
\(731\) 71.0278 + 155.529i 0.0971653 + 0.212762i
\(732\) 10.4087 + 7.79186i 0.0142195 + 0.0106446i
\(733\) 657.197 + 142.965i 0.896586 + 0.195040i 0.637168 0.770725i \(-0.280106\pi\)
0.259418 + 0.965765i \(0.416469\pi\)
\(734\) −579.533 502.168i −0.789555 0.684153i
\(735\) −105.458 126.470i −0.143480 0.172068i
\(736\) −127.207 + 27.3205i −0.172835 + 0.0371203i
\(737\) −292.454 + 292.454i −0.396817 + 0.396817i
\(738\) −666.306 + 47.6551i −0.902853 + 0.0645733i
\(739\) −574.143 893.384i −0.776919 1.20891i −0.973560 0.228434i \(-0.926640\pi\)
0.196641 0.980476i \(-0.436997\pi\)
\(740\) 18.2515 + 16.4308i 0.0246642 + 0.0222038i
\(741\) 145.962 + 319.613i 0.196980 + 0.431326i
\(742\) −401.354 536.146i −0.540908 0.722568i
\(743\) 434.704 + 237.366i 0.585065 + 0.319470i 0.744378 0.667758i \(-0.232746\pi\)
−0.159313 + 0.987228i \(0.550928\pi\)
\(744\) 46.3763 72.1629i 0.0623337 0.0969932i
\(745\) −429.254 + 751.886i −0.576179 + 1.00924i
\(746\) 300.700 + 88.2936i 0.403084 + 0.118356i
\(747\) −682.024 48.7793i −0.913017 0.0653003i
\(748\) −7.28325 + 101.833i −0.00973697 + 0.136141i
\(749\) −344.477 + 1173.18i −0.459916 + 1.56633i
\(750\) 129.185 + 108.690i 0.172247 + 0.144920i
\(751\) −547.082 351.588i −0.728472 0.468160i 0.123103 0.992394i \(-0.460715\pi\)
−0.851574 + 0.524234i \(0.824352\pi\)
\(752\) 140.520 257.344i 0.186862 0.342213i
\(753\) 120.072 89.8844i 0.159458 0.119368i
\(754\) 1220.61 557.435i 1.61885 0.739304i
\(755\) −59.4097 + 3.11886i −0.0786883 + 0.00413094i
\(756\) −250.879 + 161.230i −0.331851 + 0.213268i
\(757\) −56.8543 794.927i −0.0751047 1.05010i −0.885628 0.464395i \(-0.846272\pi\)
0.810524 0.585706i \(-0.199183\pi\)
\(758\) −145.825 145.825i −0.192381 0.192381i
\(759\) −260.670 + 96.4415i −0.343439 + 0.127064i
\(760\) −143.503 172.095i −0.188819 0.226441i
\(761\) 350.736 404.771i 0.460889 0.531894i −0.476966 0.878922i \(-0.658264\pi\)
0.937855 + 0.347028i \(0.112809\pi\)
\(762\) 39.7948 182.934i 0.0522241 0.240070i
\(763\) 873.161 1166.41i 1.14438 1.52871i
\(764\) −258.032 + 117.839i −0.337738 + 0.154240i
\(765\) 85.5852 + 138.891i 0.111876 + 0.181557i
\(766\) 72.4048 21.2600i 0.0945232 0.0277545i
\(767\) 1819.83 395.879i 2.37265 0.516139i
\(768\) 14.3170 5.33995i 0.0186419 0.00695307i
\(769\) −125.896 + 428.761i −0.163713 + 0.557557i 0.836244 + 0.548357i \(0.184747\pi\)
−0.999958 + 0.00919958i \(0.997072\pi\)
\(770\) −477.428 663.619i −0.620037 0.861843i
\(771\) 204.059 + 235.496i 0.264668 + 0.305443i
\(772\) 406.100 221.747i 0.526036 0.287238i
\(773\) −473.919 + 176.762i −0.613090 + 0.228671i −0.636776 0.771049i \(-0.719732\pi\)
0.0236862 + 0.999719i \(0.492460\pi\)
\(774\) −262.088 + 407.816i −0.338614 + 0.526894i
\(775\) 789.539 83.1267i 1.01876 0.107260i
\(776\) 25.9905 180.768i 0.0334929 0.232948i
\(777\) 20.0782 + 7.48880i 0.0258407 + 0.00963809i
\(778\) −114.270 + 152.647i −0.146877 + 0.196204i
\(779\) −500.285 778.458i −0.642214 0.999304i
\(780\) −153.807 159.750i −0.197189 0.204808i
\(781\) 407.224 0.521414
\(782\) 70.6517 + 110.577i 0.0903475 + 0.141403i
\(783\) 471.544 + 471.544i 0.602227 + 0.602227i
\(784\) −104.247 90.3309i −0.132969 0.115218i
\(785\) −643.096 202.144i −0.819231 0.257508i
\(786\) −6.57278 45.7147i −0.00836231 0.0581612i
\(787\) −531.075 198.081i −0.674810 0.251691i −0.0113864 0.999935i \(-0.503624\pi\)
−0.663424 + 0.748244i \(0.730897\pi\)
\(788\) −167.871 + 125.666i −0.213034 + 0.159475i
\(789\) −17.4320 59.3681i −0.0220938 0.0752447i
\(790\) −298.543 + 37.1645i −0.377902 + 0.0470437i
\(791\) −380.072 + 832.242i −0.480496 + 1.05214i
\(792\) −254.053 + 138.723i −0.320774 + 0.175156i
\(793\) 11.2762 157.661i 0.0142196 0.198816i
\(794\) −6.04207 + 5.23548i −0.00760966 + 0.00659381i
\(795\) 230.209 + 90.8690i 0.289571 + 0.114301i
\(796\) −293.355 + 642.357i −0.368536 + 0.806981i
\(797\) 763.844 166.164i 0.958398 0.208487i 0.293950 0.955821i \(-0.405030\pi\)
0.664449 + 0.747334i \(0.268666\pi\)
\(798\) −171.612 93.7074i −0.215053 0.117428i
\(799\) −292.709 42.0852i −0.366344 0.0526724i
\(800\) 121.465 + 72.4306i 0.151832 + 0.0905383i
\(801\) 102.559 + 713.314i 0.128039 + 0.890529i
\(802\) −47.8975 + 220.181i −0.0597226 + 0.274540i
\(803\) 993.120 71.0293i 1.23676 0.0884549i
\(804\) 62.4326i 0.0776525i
\(805\) −1001.57 317.730i −1.24418 0.394695i
\(806\) −1042.81 −1.29381
\(807\) −6.12478 85.6356i −0.00758957 0.106116i
\(808\) 265.899 + 57.8428i 0.329083 + 0.0715876i
\(809\) −1401.30 + 201.477i −1.73214 + 0.249044i −0.934974 0.354716i \(-0.884578\pi\)
−0.797166 + 0.603760i \(0.793668\pi\)
\(810\) −174.980 + 364.702i −0.216025 + 0.450249i
\(811\) −187.392 + 1303.34i −0.231063 + 1.60708i 0.462457 + 0.886642i \(0.346968\pi\)
−0.693520 + 0.720437i \(0.743941\pi\)
\(812\) −357.872 + 655.394i −0.440729 + 0.807135i
\(813\) −14.2081 65.3136i −0.0174762 0.0803366i
\(814\) 39.9740 + 18.2555i 0.0491081 + 0.0224269i
\(815\) −188.096 + 81.6289i −0.230792 + 0.100158i
\(816\) −10.0922 11.6470i −0.0123679 0.0142733i
\(817\) −669.817 47.9063i −0.819850 0.0586368i
\(818\) −214.489 392.807i −0.262211 0.480204i
\(819\) 1560.89 + 712.833i 1.90584 + 0.870370i
\(820\) 460.818 + 358.788i 0.561973 + 0.437546i
\(821\) 1306.74 383.692i 1.59164 0.467348i 0.638436 0.769675i \(-0.279582\pi\)
0.953204 + 0.302327i \(0.0977636\pi\)
\(822\) −29.6092 39.5533i −0.0360210 0.0481184i
\(823\) −182.677 + 489.776i −0.221965 + 0.595110i −0.999428 0.0338179i \(-0.989233\pi\)
0.777463 + 0.628928i \(0.216506\pi\)
\(824\) −312.918 + 44.9908i −0.379755 + 0.0546005i
\(825\) 278.856 + 116.226i 0.338007 + 0.140879i
\(826\) −678.692 + 783.253i −0.821661 + 0.948248i
\(827\) 742.507 742.507i 0.897832 0.897832i −0.0974121 0.995244i \(-0.531056\pi\)
0.995244 + 0.0974121i \(0.0310565\pi\)
\(828\) −155.446 + 338.014i −0.187737 + 0.408230i
\(829\) 401.202i 0.483959i −0.970281 0.241979i \(-0.922203\pi\)
0.970281 0.241979i \(-0.0777966\pi\)
\(830\) 414.622 + 430.642i 0.499545 + 0.518846i
\(831\) −292.259 + 187.823i −0.351695 + 0.226021i
\(832\) −148.709 111.322i −0.178737 0.133801i
\(833\) −48.6173 + 130.348i −0.0583641 + 0.156480i
\(834\) −219.888 31.6151i −0.263655 0.0379078i
\(835\) 1254.87 + 840.477i 1.50284 + 1.00656i
\(836\) −337.320 216.782i −0.403493 0.259309i
\(837\) −181.107 485.566i −0.216376 0.580126i
\(838\) 55.4691 + 101.584i 0.0661923 + 0.121222i
\(839\) −190.866 + 165.386i −0.227492 + 0.197123i −0.761147 0.648579i \(-0.775364\pi\)
0.533655 + 0.845702i \(0.320818\pi\)
\(840\) 121.794 + 19.8739i 0.144993 + 0.0236594i
\(841\) 795.232 + 233.501i 0.945579 + 0.277647i
\(842\) −142.981 383.348i −0.169812 0.455283i
\(843\) −88.2303 405.588i −0.104662 0.481125i
\(844\) −84.1336 286.533i −0.0996843 0.339494i
\(845\) −427.632 + 1800.79i −0.506073 + 2.13112i
\(846\) −348.299 762.669i −0.411702 0.901501i
\(847\) −286.056 214.139i −0.337729 0.252821i
\(848\) 202.582 + 44.0689i 0.238893 + 0.0519681i
\(849\) 287.753 + 249.339i 0.338931 + 0.293686i
\(850\) 25.6336 140.309i 0.0301572 0.165070i
\(851\) 55.2238 11.8605i 0.0648929 0.0139372i
\(852\) −43.4667 + 43.4667i −0.0510173 + 0.0510173i
\(853\) 622.189 44.4998i 0.729413 0.0521686i 0.298307 0.954470i \(-0.403578\pi\)
0.431106 + 0.902301i \(0.358124\pi\)
\(854\) 47.5550 + 73.9970i 0.0556850 + 0.0866475i
\(855\) −639.865 + 33.5913i −0.748380 + 0.0392881i
\(856\) −157.234 344.295i −0.183685 0.402214i
\(857\) −563.321 752.509i −0.657317 0.878073i 0.340754 0.940153i \(-0.389318\pi\)
−0.998071 + 0.0620794i \(0.980227\pi\)
\(858\) −348.286 190.179i −0.405928 0.221654i
\(859\) −617.129 + 960.271i −0.718427 + 1.11789i 0.269504 + 0.962999i \(0.413140\pi\)
−0.987931 + 0.154895i \(0.950496\pi\)
\(860\) 408.846 111.678i 0.475402 0.129858i
\(861\) 488.978 + 143.577i 0.567919 + 0.166756i
\(862\) 27.2437 + 1.94851i 0.0316052 + 0.00226045i
\(863\) 34.6151 483.982i 0.0401102 0.560814i −0.937172 0.348869i \(-0.886566\pi\)
0.977282 0.211945i \(-0.0679796\pi\)
\(864\) 26.0086 88.5770i 0.0301025 0.102520i
\(865\) −63.9393 234.078i −0.0739183 0.270611i
\(866\) −649.213 417.224i −0.749669 0.481783i
\(867\) 124.825 228.600i 0.143973 0.263667i
\(868\) 464.563 347.768i 0.535211 0.400654i
\(869\) −489.703 + 223.640i −0.563525 + 0.257353i
\(870\) −14.4668 275.572i −0.0166285 0.316749i
\(871\) −638.496 + 410.337i −0.733061 + 0.471110i
\(872\) 32.1763 + 449.883i 0.0368994 + 0.515921i
\(873\) −369.268 369.268i −0.422988 0.422988i
\(874\) −514.155 + 35.4086i −0.588278 + 0.0405132i
\(875\) 561.887 + 994.350i 0.642157 + 1.13640i
\(876\) −98.4231 + 113.586i −0.112355 + 0.129665i
\(877\) −98.1146 + 451.026i −0.111875 + 0.514282i 0.886768 + 0.462214i \(0.152945\pi\)
−0.998644 + 0.0520681i \(0.983419\pi\)
\(878\) 95.7884 127.958i 0.109098 0.145738i
\(879\) −97.1593 + 44.3712i −0.110534 + 0.0504792i
\(880\) 246.220 + 58.4696i 0.279796 + 0.0664427i
\(881\) −766.916 + 225.187i −0.870506 + 0.255604i −0.686330 0.727290i \(-0.740780\pi\)
−0.184175 + 0.982893i \(0.558961\pi\)
\(882\) −385.425 + 83.8440i −0.436989 + 0.0950612i
\(883\) 389.124 145.136i 0.440684 0.164367i −0.119321 0.992856i \(-0.538072\pi\)
0.560005 + 0.828489i \(0.310799\pi\)
\(884\) −52.7828 + 179.762i −0.0597091 + 0.203350i
\(885\) 61.6793 377.993i 0.0696941 0.427111i
\(886\) 183.678 + 211.976i 0.207312 + 0.239251i
\(887\) −685.539 + 374.333i −0.772874 + 0.422021i −0.816732 0.577017i \(-0.804217\pi\)
0.0438583 + 0.999038i \(0.486035\pi\)
\(888\) −6.21537 + 2.31821i −0.00699929 + 0.00261060i
\(889\) 684.725 1065.45i 0.770219 1.19848i
\(890\) 350.610 523.478i 0.393944 0.588177i
\(891\) −103.014 + 716.480i −0.115616 + 0.804130i
\(892\) −307.053 114.525i −0.344230 0.128391i
\(893\) 696.026 929.782i 0.779424 1.04119i
\(894\) −126.439 196.743i −0.141431 0.220070i
\(895\) −623.051 + 599.873i −0.696147 + 0.670250i
\(896\) 103.373 0.115372
\(897\) −505.042 + 71.2532i −0.563035 + 0.0794350i
\(898\) 717.185 + 717.185i 0.798647 + 0.798647i
\(899\) −980.704 849.785i −1.09088 0.945256i
\(900\) 373.953 153.933i 0.415504 0.171037i
\(901\) −29.7572 206.966i −0.0330268 0.229707i
\(902\) 979.190 + 365.219i 1.08558 + 0.404899i
\(903\) 296.065 221.632i 0.327869 0.245439i
\(904\) −79.7925 271.748i −0.0882661 0.300607i
\(905\) 988.220 1269.24i 1.09196 1.40248i
\(906\) 6.67570 14.6178i 0.00736833 0.0161344i
\(907\) 227.803 124.390i 0.251161 0.137144i −0.348738 0.937220i \(-0.613390\pi\)
0.599898 + 0.800076i \(0.295208\pi\)
\(908\) −19.9395 + 278.791i −0.0219598 + 0.307038i
\(909\) 588.067 509.563i 0.646939 0.560576i
\(910\) −597.240 1376.21i −0.656308 1.51232i
\(911\) −350.776 + 768.093i −0.385046 + 0.843132i 0.613525 + 0.789676i \(0.289751\pi\)
−0.998570 + 0.0534565i \(0.982976\pi\)
\(912\) 59.1444 12.8661i 0.0648513 0.0141075i
\(913\) 938.885 + 512.670i 1.02835 + 0.561522i
\(914\) 370.723 + 53.3019i 0.405605 + 0.0583172i
\(915\) −29.3066 14.0610i −0.0320291 0.0153672i
\(916\) −13.0050 90.4516i −0.0141976 0.0987463i
\(917\) 66.4148 305.304i 0.0724262 0.332938i
\(918\) −92.8693 + 6.64214i −0.101165 + 0.00723545i
\(919\) 1363.36i 1.48353i −0.670661 0.741764i \(-0.733990\pi\)
0.670661 0.741764i \(-0.266010\pi\)
\(920\) 298.723 128.702i 0.324699 0.139894i
\(921\) −474.485 −0.515184
\(922\) 80.6309 + 1127.37i 0.0874521 + 1.22274i
\(923\) 730.216 + 158.849i 0.791133 + 0.172101i
\(924\) 218.581 31.4272i 0.236559 0.0340121i
\(925\) −52.7312 31.4440i −0.0570067 0.0339935i
\(926\) −35.5521 + 247.270i −0.0383932 + 0.267031i
\(927\) −433.239 + 793.418i −0.467356 + 0.855898i
\(928\) −49.1360 225.875i −0.0529483 0.243399i
\(929\) 27.5460 + 12.5798i 0.0296512 + 0.0135413i 0.430185 0.902741i \(-0.358448\pi\)
−0.400534 + 0.916282i \(0.631175\pi\)
\(930\) −78.7368 + 199.473i −0.0846633 + 0.214487i
\(931\) −357.812 412.938i −0.384331 0.443542i
\(932\) 792.433 + 56.6759i 0.850250 + 0.0608111i
\(933\) −26.4612 48.4601i −0.0283614 0.0519401i
\(934\) −294.404 134.450i −0.315208 0.143951i
\(935\) −31.5297 253.278i −0.0337216 0.270886i
\(936\) −509.669 + 149.652i −0.544519 + 0.159885i
\(937\) 506.950 + 677.206i 0.541035 + 0.722738i 0.984855 0.173377i \(-0.0554681\pi\)
−0.443820 + 0.896116i \(0.646377\pi\)
\(938\) 147.601 395.733i 0.157357 0.421890i
\(939\) −34.9807 + 5.02947i −0.0372532 + 0.00535620i
\(940\) −219.807 + 699.292i −0.233838 + 0.743928i
\(941\) 378.953 437.335i 0.402713 0.464756i −0.517780 0.855514i \(-0.673242\pi\)
0.920494 + 0.390758i \(0.127787\pi\)
\(942\) 128.760 128.760i 0.136688 0.136688i
\(943\) 1289.83 375.032i 1.36780 0.397701i
\(944\) 320.823i 0.339855i
\(945\) 537.080 517.100i 0.568339 0.547196i
\(946\) 638.019 410.030i 0.674439 0.433435i
\(947\) 709.222 + 530.917i 0.748914 + 0.560630i 0.904134 0.427250i \(-0.140517\pi\)
−0.155219 + 0.987880i \(0.549608\pi\)
\(948\) 28.3994 76.1416i 0.0299571 0.0803182i
\(949\) 1808.53 + 260.027i 1.90572 + 0.274001i
\(950\) 435.411 + 352.460i 0.458327 + 0.371011i
\(951\) 191.993 + 123.387i 0.201886 + 0.129744i
\(952\) −36.4345 97.6846i −0.0382715 0.102610i
\(953\) 700.918 + 1283.64i 0.735486 + 1.34694i 0.930555 + 0.366153i \(0.119325\pi\)
−0.195069 + 0.980790i \(0.562493\pi\)
\(954\) 448.033 388.223i 0.469637 0.406943i
\(955\) 575.667 414.153i 0.602793 0.433668i
\(956\) −343.417 100.836i −0.359223 0.105477i
\(957\) −172.567 462.669i −0.180320 0.483458i
\(958\) 265.044 + 1218.39i 0.276663 + 1.27180i
\(959\) −94.1694 320.712i −0.0981955 0.334423i
\(960\) −32.5223 + 20.0403i −0.0338774 + 0.0208754i
\(961\) 19.7118 + 43.1628i 0.0205117 + 0.0449144i
\(962\) 64.5586 + 48.3280i 0.0671087 + 0.0502370i
\(963\) −1057.59 230.064i −1.09822 0.238904i
\(964\) 472.358 + 409.301i 0.489998 + 0.424586i
\(965\) −888.406 + 740.805i −0.920628 + 0.767673i
\(966\) 201.229 200.169i 0.208311 0.207214i
\(967\) −878.693 + 878.693i −0.908679 + 0.908679i −0.996166 0.0874865i \(-0.972117\pi\)
0.0874865 + 0.996166i \(0.472117\pi\)
\(968\) 110.332 7.89109i 0.113979 0.00815196i
\(969\) −33.0038 51.3549i −0.0340596 0.0529978i
\(970\) 23.9357 + 455.939i 0.0246759 + 0.470040i
\(971\) 64.9521 + 142.225i 0.0668920 + 0.146473i 0.940125 0.340830i \(-0.110708\pi\)
−0.873233 + 0.487303i \(0.837981\pi\)
\(972\) −241.518 322.630i −0.248475 0.331924i
\(973\) −1319.03 720.244i −1.35563 0.740230i
\(974\) −60.1088 + 93.5311i −0.0617133 + 0.0960278i
\(975\) 454.695 + 317.186i 0.466353 + 0.325319i
\(976\) −26.1258 7.67124i −0.0267683 0.00785987i
\(977\) −237.845 17.0110i −0.243444 0.0174115i −0.0509160 0.998703i \(-0.516214\pi\)
−0.192528 + 0.981291i \(0.561669\pi\)
\(978\) 3.95126 55.2459i 0.00404015 0.0564886i
\(979\) 317.636 1081.77i 0.324450 1.10497i
\(980\) 299.480 + 170.974i 0.305591 + 0.174463i
\(981\) 1084.99 + 697.282i 1.10601 + 0.710787i
\(982\) 336.445 616.154i 0.342612 0.627448i
\(983\) −347.238 + 259.939i −0.353243 + 0.264435i −0.761132 0.648597i \(-0.775356\pi\)
0.407889 + 0.913032i \(0.366265\pi\)
\(984\) −143.501 + 65.5347i −0.145834 + 0.0666003i
\(985\) 350.751 389.618i 0.356092 0.395552i
\(986\) −196.126 + 126.043i −0.198911 + 0.127832i
\(987\) 45.6315 + 638.012i 0.0462326 + 0.646416i
\(988\) −520.306 520.306i −0.526625 0.526625i
\(989\) 343.067 912.431i 0.346882 0.922579i
\(990\) 555.780 463.441i 0.561394 0.468123i
\(991\) 240.525 277.580i 0.242709 0.280101i −0.621305 0.783569i \(-0.713397\pi\)
0.864014 + 0.503468i \(0.167943\pi\)
\(992\) −38.1852 + 175.534i −0.0384931 + 0.176950i
\(993\) −116.231 + 155.267i −0.117051 + 0.156361i
\(994\) −378.278 + 172.754i −0.380562 + 0.173797i
\(995\) 407.891 1717.66i 0.409941 1.72630i
\(996\) −154.938 + 45.4938i −0.155560 + 0.0456765i
\(997\) −219.303 + 47.7066i −0.219963 + 0.0478501i −0.321196 0.947013i \(-0.604085\pi\)
0.101233 + 0.994863i \(0.467721\pi\)
\(998\) −148.667 + 55.4497i −0.148964 + 0.0555609i
\(999\) −11.2910 + 38.4536i −0.0113023 + 0.0384921i
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.223.7 yes 240
5.2 odd 4 inner 230.3.k.a.177.7 yes 240
23.13 even 11 inner 230.3.k.a.13.7 240
115.82 odd 44 inner 230.3.k.a.197.7 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
230.3.k.a.13.7 240 23.13 even 11 inner
230.3.k.a.177.7 yes 240 5.2 odd 4 inner
230.3.k.a.197.7 yes 240 115.82 odd 44 inner
230.3.k.a.223.7 yes 240 1.1 even 1 trivial