Properties

Label 300.2.w.a.223.22
Level $300$
Weight $2$
Character 300.223
Analytic conductor $2.396$
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] = [300,2,Mod(67,300)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(300, base_ring=CyclotomicField(20))
 
chi = DirichletCharacter(H, H._module([10, 0, 13]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("300.67");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.w (of order \(20\), degree \(8\), 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: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 223.22
Character \(\chi\) \(=\) 300.223
Dual form 300.2.w.a.187.22

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.04267 - 0.955426i) q^{2} +(-0.453990 - 0.891007i) q^{3} +(0.174322 - 1.99239i) q^{4} +(0.328085 - 2.21187i) q^{5} +(-1.32465 - 0.495272i) q^{6} +(3.17506 + 3.17506i) q^{7} +(-1.72182 - 2.24396i) q^{8} +(-0.587785 + 0.809017i) q^{9} +O(q^{10})\) \(q+(1.04267 - 0.955426i) q^{2} +(-0.453990 - 0.891007i) q^{3} +(0.174322 - 1.99239i) q^{4} +(0.328085 - 2.21187i) q^{5} +(-1.32465 - 0.495272i) q^{6} +(3.17506 + 3.17506i) q^{7} +(-1.72182 - 2.24396i) q^{8} +(-0.587785 + 0.809017i) q^{9} +(-1.77119 - 2.61971i) q^{10} +(-1.22267 - 1.68286i) q^{11} +(-1.85437 + 0.749203i) q^{12} +(-0.339738 - 2.14502i) q^{13} +(6.34407 + 0.277005i) q^{14} +(-2.11974 + 0.711841i) q^{15} +(-3.93922 - 0.694636i) q^{16} +(-2.26334 - 1.15323i) q^{17} +(0.160090 + 1.40512i) q^{18} +(1.87987 + 5.78563i) q^{19} +(-4.34971 - 1.03925i) q^{20} +(1.38755 - 4.27044i) q^{21} +(-2.88268 - 0.586496i) q^{22} +(-0.703414 + 4.44118i) q^{23} +(-1.21769 + 2.55289i) q^{24} +(-4.78472 - 1.45136i) q^{25} +(-2.40365 - 1.91196i) q^{26} +(0.987688 + 0.156434i) q^{27} +(6.87943 - 5.77246i) q^{28} +(1.37225 + 0.445870i) q^{29} +(-1.53007 + 2.76747i) q^{30} +(1.68210 - 0.546548i) q^{31} +(-4.77098 + 3.03936i) q^{32} +(-0.944357 + 1.85340i) q^{33} +(-3.46174 + 0.960016i) q^{34} +(8.06450 - 5.98112i) q^{35} +(1.50941 + 1.31213i) q^{36} +(8.87863 - 1.40624i) q^{37} +(7.48783 + 4.23644i) q^{38} +(-1.75699 + 1.27653i) q^{39} +(-5.52824 + 3.07223i) q^{40} +(5.90311 + 4.28886i) q^{41} +(-2.63333 - 5.77836i) q^{42} +(4.19804 - 4.19804i) q^{43} +(-3.56604 + 2.14267i) q^{44} +(1.59660 + 1.56553i) q^{45} +(3.50979 + 5.30275i) q^{46} +(1.82245 - 0.928585i) q^{47} +(1.16945 + 3.82523i) q^{48} +13.1620i q^{49} +(-6.37555 + 3.05815i) q^{50} +2.54021i q^{51} +(-4.33294 + 0.302965i) q^{52} +(10.2866 - 5.24127i) q^{53} +(1.17929 - 0.780554i) q^{54} +(-4.12339 + 2.15226i) q^{55} +(1.65782 - 12.5916i) q^{56} +(4.30160 - 4.30160i) q^{57} +(1.85680 - 0.846185i) q^{58} +(-3.92021 - 2.84820i) q^{59} +(1.04875 + 4.34743i) q^{60} +(-11.1415 + 8.09476i) q^{61} +(1.23169 - 2.17699i) q^{62} +(-4.43493 + 0.702423i) q^{63} +(-2.07068 + 7.72737i) q^{64} +(-4.85597 + 0.0477062i) q^{65} +(0.786138 + 2.83475i) q^{66} +(-3.16115 + 6.20411i) q^{67} +(-2.69223 + 4.30842i) q^{68} +(4.27647 - 1.38951i) q^{69} +(2.69409 - 13.9414i) q^{70} +(-8.47778 - 2.75460i) q^{71} +(2.82746 - 0.0740164i) q^{72} +(-0.968954 - 0.153467i) q^{73} +(7.91392 - 9.94911i) q^{74} +(0.879045 + 4.92212i) q^{75} +(11.8549 - 2.73686i) q^{76} +(1.46113 - 9.22520i) q^{77} +(-0.612334 + 3.00968i) q^{78} +(-4.20734 + 12.9489i) q^{79} +(-2.82884 + 8.48514i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(10.2527 - 1.16812i) q^{82} +(-4.17938 - 2.12950i) q^{83} +(-8.26650 - 3.50897i) q^{84} +(-3.29336 + 4.62785i) q^{85} +(0.366255 - 8.38809i) q^{86} +(-0.225714 - 1.42510i) q^{87} +(-1.67104 + 5.64118i) q^{88} +(9.07416 + 12.4895i) q^{89} +(3.16047 + 0.106903i) q^{90} +(5.73188 - 7.88926i) q^{91} +(8.72594 + 2.17567i) q^{92} +(-1.25064 - 1.25064i) q^{93} +(1.01302 - 2.70943i) q^{94} +(13.4138 - 2.25984i) q^{95} +(4.87407 + 2.87114i) q^{96} +(-4.76437 - 9.35061i) q^{97} +(12.5753 + 13.7236i) q^{98} +2.08012 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q + 12 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44} - 4 q^{45} - 16 q^{48} - 164 q^{50} - 172 q^{52} - 4 q^{53} - 120 q^{58} + 20 q^{60} - 44 q^{62} - 60 q^{64} - 20 q^{65} + 16 q^{68} - 44 q^{70} + 12 q^{72} - 44 q^{73} - 48 q^{77} + 24 q^{78} - 4 q^{80} + 60 q^{81} + 24 q^{82} + 80 q^{84} - 64 q^{85} + 60 q^{88} - 260 q^{89} + 48 q^{90} + 144 q^{92} - 64 q^{93} + 40 q^{94} - 20 q^{96} - 180 q^{97} + 256 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{11}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.04267 0.955426i 0.737279 0.675588i
\(3\) −0.453990 0.891007i −0.262112 0.514423i
\(4\) 0.174322 1.99239i 0.0871612 0.996194i
\(5\) 0.328085 2.21187i 0.146724 0.989177i
\(6\) −1.32465 0.495272i −0.540787 0.202194i
\(7\) 3.17506 + 3.17506i 1.20006 + 1.20006i 0.974148 + 0.225911i \(0.0725357\pi\)
0.225911 + 0.974148i \(0.427464\pi\)
\(8\) −1.72182 2.24396i −0.608755 0.793358i
\(9\) −0.587785 + 0.809017i −0.195928 + 0.269672i
\(10\) −1.77119 2.61971i −0.560100 0.828425i
\(11\) −1.22267 1.68286i −0.368648 0.507400i 0.583885 0.811836i \(-0.301532\pi\)
−0.952533 + 0.304436i \(0.901532\pi\)
\(12\) −1.85437 + 0.749203i −0.535311 + 0.216276i
\(13\) −0.339738 2.14502i −0.0942265 0.594923i −0.988944 0.148290i \(-0.952623\pi\)
0.894717 0.446633i \(-0.147377\pi\)
\(14\) 6.34407 + 0.277005i 1.69552 + 0.0740328i
\(15\) −2.11974 + 0.711841i −0.547314 + 0.183797i
\(16\) −3.93922 0.694636i −0.984806 0.173659i
\(17\) −2.26334 1.15323i −0.548941 0.279699i 0.157443 0.987528i \(-0.449675\pi\)
−0.706384 + 0.707829i \(0.749675\pi\)
\(18\) 0.160090 + 1.40512i 0.0377335 + 0.331191i
\(19\) 1.87987 + 5.78563i 0.431271 + 1.32732i 0.896860 + 0.442315i \(0.145843\pi\)
−0.465589 + 0.885001i \(0.654157\pi\)
\(20\) −4.34971 1.03925i −0.972624 0.232384i
\(21\) 1.38755 4.27044i 0.302788 0.931887i
\(22\) −2.88268 0.586496i −0.614590 0.125041i
\(23\) −0.703414 + 4.44118i −0.146672 + 0.926051i 0.799095 + 0.601205i \(0.205312\pi\)
−0.945767 + 0.324846i \(0.894688\pi\)
\(24\) −1.21769 + 2.55289i −0.248560 + 0.521106i
\(25\) −4.78472 1.45136i −0.956944 0.290272i
\(26\) −2.40365 1.91196i −0.471394 0.374966i
\(27\) 0.987688 + 0.156434i 0.190081 + 0.0301058i
\(28\) 6.87943 5.77246i 1.30009 1.09089i
\(29\) 1.37225 + 0.445870i 0.254820 + 0.0827960i 0.433641 0.901086i \(-0.357228\pi\)
−0.178822 + 0.983882i \(0.557228\pi\)
\(30\) −1.53007 + 2.76747i −0.279352 + 0.505268i
\(31\) 1.68210 0.546548i 0.302114 0.0981629i −0.154037 0.988065i \(-0.549228\pi\)
0.456151 + 0.889902i \(0.349228\pi\)
\(32\) −4.77098 + 3.03936i −0.843399 + 0.537288i
\(33\) −0.944357 + 1.85340i −0.164391 + 0.322636i
\(34\) −3.46174 + 0.960016i −0.593684 + 0.164641i
\(35\) 8.06450 5.98112i 1.36315 1.01099i
\(36\) 1.50941 + 1.31213i 0.251569 + 0.218688i
\(37\) 8.87863 1.40624i 1.45964 0.231184i 0.624413 0.781094i \(-0.285338\pi\)
0.835224 + 0.549910i \(0.185338\pi\)
\(38\) 7.48783 + 4.23644i 1.21469 + 0.687241i
\(39\) −1.75699 + 1.27653i −0.281344 + 0.204408i
\(40\) −5.52824 + 3.07223i −0.874091 + 0.485762i
\(41\) 5.90311 + 4.28886i 0.921911 + 0.669807i 0.943999 0.329949i \(-0.107031\pi\)
−0.0220881 + 0.999756i \(0.507031\pi\)
\(42\) −2.63333 5.77836i −0.406332 0.891621i
\(43\) 4.19804 4.19804i 0.640195 0.640195i −0.310408 0.950603i \(-0.600466\pi\)
0.950603 + 0.310408i \(0.100466\pi\)
\(44\) −3.56604 + 2.14267i −0.537601 + 0.323019i
\(45\) 1.59660 + 1.56553i 0.238006 + 0.233375i
\(46\) 3.50979 + 5.30275i 0.517491 + 0.781848i
\(47\) 1.82245 0.928585i 0.265832 0.135448i −0.315995 0.948761i \(-0.602338\pi\)
0.581827 + 0.813313i \(0.302338\pi\)
\(48\) 1.16945 + 3.82523i 0.168795 + 0.552125i
\(49\) 13.1620i 1.88028i
\(50\) −6.37555 + 3.05815i −0.901640 + 0.432488i
\(51\) 2.54021i 0.355700i
\(52\) −4.33294 + 0.302965i −0.600871 + 0.0420137i
\(53\) 10.2866 5.24127i 1.41297 0.719944i 0.429848 0.902901i \(-0.358567\pi\)
0.983121 + 0.182957i \(0.0585670\pi\)
\(54\) 1.17929 0.780554i 0.160482 0.106220i
\(55\) −4.12339 + 2.15226i −0.555998 + 0.290210i
\(56\) 1.65782 12.5916i 0.221535 1.68262i
\(57\) 4.30160 4.30160i 0.569760 0.569760i
\(58\) 1.85680 0.846185i 0.243809 0.111110i
\(59\) −3.92021 2.84820i −0.510367 0.370804i 0.302596 0.953119i \(-0.402147\pi\)
−0.812963 + 0.582315i \(0.802147\pi\)
\(60\) 1.04875 + 4.34743i 0.135393 + 0.561251i
\(61\) −11.1415 + 8.09476i −1.42652 + 1.03643i −0.435869 + 0.900010i \(0.643559\pi\)
−0.990651 + 0.136417i \(0.956441\pi\)
\(62\) 1.23169 2.17699i 0.156425 0.276478i
\(63\) −4.43493 + 0.702423i −0.558748 + 0.0884970i
\(64\) −2.07068 + 7.72737i −0.258835 + 0.965922i
\(65\) −4.85597 + 0.0477062i −0.602309 + 0.00591722i
\(66\) 0.786138 + 2.83475i 0.0967669 + 0.348934i
\(67\) −3.16115 + 6.20411i −0.386196 + 0.757953i −0.999491 0.0319014i \(-0.989844\pi\)
0.613295 + 0.789854i \(0.289844\pi\)
\(68\) −2.69223 + 4.30842i −0.326481 + 0.522473i
\(69\) 4.27647 1.38951i 0.514826 0.167277i
\(70\) 2.69409 13.9414i 0.322006 1.66631i
\(71\) −8.47778 2.75460i −1.00613 0.326911i −0.240816 0.970571i \(-0.577415\pi\)
−0.765312 + 0.643660i \(0.777415\pi\)
\(72\) 2.82746 0.0740164i 0.333219 0.00872292i
\(73\) −0.968954 0.153467i −0.113407 0.0179620i 0.0994727 0.995040i \(-0.468284\pi\)
−0.212880 + 0.977078i \(0.568284\pi\)
\(74\) 7.91392 9.94911i 0.919975 1.15656i
\(75\) 0.879045 + 4.92212i 0.101503 + 0.568358i
\(76\) 11.8549 2.73686i 1.35985 0.313939i
\(77\) 1.46113 9.22520i 0.166511 1.05131i
\(78\) −0.612334 + 3.00968i −0.0693332 + 0.340779i
\(79\) −4.20734 + 12.9489i −0.473363 + 1.45686i 0.374790 + 0.927110i \(0.377715\pi\)
−0.848153 + 0.529751i \(0.822285\pi\)
\(80\) −2.82884 + 8.48514i −0.316274 + 0.948668i
\(81\) −0.309017 0.951057i −0.0343352 0.105673i
\(82\) 10.2527 1.16812i 1.13222 0.128997i
\(83\) −4.17938 2.12950i −0.458747 0.233743i 0.209316 0.977848i \(-0.432876\pi\)
−0.668063 + 0.744105i \(0.732876\pi\)
\(84\) −8.26650 3.50897i −0.901949 0.382860i
\(85\) −3.29336 + 4.62785i −0.357215 + 0.501961i
\(86\) 0.366255 8.38809i 0.0394943 0.904511i
\(87\) −0.225714 1.42510i −0.0241991 0.152787i
\(88\) −1.67104 + 5.64118i −0.178134 + 0.601352i
\(89\) 9.07416 + 12.4895i 0.961859 + 1.32389i 0.946053 + 0.324011i \(0.105031\pi\)
0.0158059 + 0.999875i \(0.494969\pi\)
\(90\) 3.16047 + 0.106903i 0.333143 + 0.0112685i
\(91\) 5.73188 7.88926i 0.600865 0.827019i
\(92\) 8.72594 + 2.17567i 0.909742 + 0.226830i
\(93\) −1.25064 1.25064i −0.129685 0.129685i
\(94\) 1.01302 2.70943i 0.104485 0.279456i
\(95\) 13.4138 2.25984i 1.37623 0.231854i
\(96\) 4.87407 + 2.87114i 0.497458 + 0.293034i
\(97\) −4.76437 9.35061i −0.483749 0.949410i −0.995895 0.0905123i \(-0.971150\pi\)
0.512147 0.858898i \(-0.328850\pi\)
\(98\) 12.5753 + 13.7236i 1.27030 + 1.38629i
\(99\) 2.08012 0.209060
\(100\) −3.72576 + 9.28002i −0.372576 + 0.928002i
\(101\) −11.3317 −1.12755 −0.563775 0.825928i \(-0.690652\pi\)
−0.563775 + 0.825928i \(0.690652\pi\)
\(102\) 2.42698 + 2.64860i 0.240307 + 0.262250i
\(103\) −8.24729 16.1862i −0.812630 1.59488i −0.803789 0.594915i \(-0.797186\pi\)
−0.00884143 0.999961i \(-0.502814\pi\)
\(104\) −4.22837 + 4.45570i −0.414626 + 0.436917i
\(105\) −8.99042 4.47015i −0.877375 0.436242i
\(106\) 5.71786 15.2930i 0.555367 1.48538i
\(107\) 1.76369 + 1.76369i 0.170502 + 0.170502i 0.787200 0.616698i \(-0.211530\pi\)
−0.616698 + 0.787200i \(0.711530\pi\)
\(108\) 0.483854 1.94059i 0.0465589 0.186733i
\(109\) −2.27144 + 3.12637i −0.217564 + 0.299452i −0.903823 0.427905i \(-0.859252\pi\)
0.686259 + 0.727357i \(0.259252\pi\)
\(110\) −2.24302 + 6.18369i −0.213863 + 0.589592i
\(111\) −5.28378 7.27250i −0.501514 0.690275i
\(112\) −10.3018 14.7128i −0.973424 1.39023i
\(113\) −0.815870 5.15120i −0.0767506 0.484584i −0.995884 0.0906377i \(-0.971109\pi\)
0.919133 0.393947i \(-0.128891\pi\)
\(114\) 0.375289 8.59500i 0.0351491 0.804996i
\(115\) 9.59253 + 3.01295i 0.894508 + 0.280959i
\(116\) 1.12756 2.65632i 0.104691 0.246633i
\(117\) 1.93505 + 0.985959i 0.178896 + 0.0911520i
\(118\) −6.80872 + 0.775737i −0.626794 + 0.0714124i
\(119\) −3.52466 10.8478i −0.323105 0.994416i
\(120\) 5.24714 + 3.53093i 0.478996 + 0.322329i
\(121\) 2.06210 6.34648i 0.187463 0.576953i
\(122\) −3.88295 + 19.0850i −0.351545 + 1.72788i
\(123\) 1.14145 7.20681i 0.102921 0.649816i
\(124\) −0.795708 3.44667i −0.0714567 0.309521i
\(125\) −4.78002 + 10.1070i −0.427538 + 0.903998i
\(126\) −3.95305 + 4.96964i −0.352166 + 0.442731i
\(127\) −1.55836 0.246821i −0.138282 0.0219018i 0.0869095 0.996216i \(-0.472301\pi\)
−0.225192 + 0.974314i \(0.572301\pi\)
\(128\) 5.22390 + 10.0355i 0.461732 + 0.887020i
\(129\) −5.64635 1.83461i −0.497134 0.161529i
\(130\) −5.01760 + 4.68926i −0.440072 + 0.411276i
\(131\) −9.13047 + 2.96667i −0.797733 + 0.259199i −0.679394 0.733774i \(-0.737757\pi\)
−0.118339 + 0.992973i \(0.537757\pi\)
\(132\) 3.52808 + 2.20461i 0.307080 + 0.191887i
\(133\) −12.4010 + 24.3384i −1.07531 + 2.11041i
\(134\) 2.63153 + 9.48909i 0.227329 + 0.819732i
\(135\) 0.670058 2.13331i 0.0576694 0.183606i
\(136\) 1.30927 + 7.06449i 0.112269 + 0.605775i
\(137\) 7.72018 1.22276i 0.659579 0.104467i 0.182333 0.983237i \(-0.441635\pi\)
0.477246 + 0.878770i \(0.341635\pi\)
\(138\) 3.13137 5.53465i 0.266560 0.471140i
\(139\) 2.48469 1.80523i 0.210748 0.153118i −0.477404 0.878684i \(-0.658422\pi\)
0.688152 + 0.725566i \(0.258422\pi\)
\(140\) −10.5109 17.1102i −0.888332 1.44608i
\(141\) −1.65475 1.20225i −0.139355 0.101247i
\(142\) −11.4713 + 5.22776i −0.962654 + 0.438704i
\(143\) −3.19438 + 3.19438i −0.267127 + 0.267127i
\(144\) 2.87739 2.77860i 0.239782 0.231550i
\(145\) 1.43642 2.88895i 0.119288 0.239914i
\(146\) −1.15693 + 0.765748i −0.0957478 + 0.0633737i
\(147\) 11.7274 5.97541i 0.967260 0.492843i
\(148\) −1.25403 17.9348i −0.103080 1.47423i
\(149\) 16.9988i 1.39260i −0.717753 0.696298i \(-0.754829\pi\)
0.717753 0.696298i \(-0.245171\pi\)
\(150\) 5.61928 + 4.29229i 0.458812 + 0.350464i
\(151\) 13.8505i 1.12714i 0.826070 + 0.563568i \(0.190572\pi\)
−0.826070 + 0.563568i \(0.809428\pi\)
\(152\) 9.74592 14.1802i 0.790499 1.15016i
\(153\) 2.26334 1.15323i 0.182980 0.0932331i
\(154\) −7.29052 11.0148i −0.587487 0.887601i
\(155\) −0.657019 3.89990i −0.0527731 0.313248i
\(156\) 2.23706 + 3.72314i 0.179108 + 0.298090i
\(157\) −1.80291 + 1.80291i −0.143888 + 0.143888i −0.775381 0.631494i \(-0.782442\pi\)
0.631494 + 0.775381i \(0.282442\pi\)
\(158\) 7.98481 + 17.5212i 0.635237 + 1.39391i
\(159\) −9.34001 6.78592i −0.740711 0.538158i
\(160\) 5.15738 + 11.5500i 0.407726 + 0.913104i
\(161\) −16.3344 + 11.8676i −1.28733 + 0.935300i
\(162\) −1.23087 0.696395i −0.0967060 0.0547140i
\(163\) 20.4868 3.24480i 1.60465 0.254152i 0.711093 0.703098i \(-0.248200\pi\)
0.893559 + 0.448946i \(0.148200\pi\)
\(164\) 9.57412 11.0136i 0.747613 0.860021i
\(165\) 3.78966 + 2.69687i 0.295024 + 0.209951i
\(166\) −6.39230 + 1.77272i −0.496138 + 0.137590i
\(167\) −7.83909 + 15.3851i −0.606607 + 1.19053i 0.359682 + 0.933075i \(0.382885\pi\)
−0.966289 + 0.257459i \(0.917115\pi\)
\(168\) −11.9718 + 4.23932i −0.923644 + 0.327071i
\(169\) 7.87803 2.55973i 0.606002 0.196902i
\(170\) 0.987683 + 7.97188i 0.0757518 + 0.611416i
\(171\) −5.78563 1.87987i −0.442439 0.143757i
\(172\) −7.63232 9.09594i −0.581959 0.693559i
\(173\) −24.0008 3.80135i −1.82474 0.289011i −0.852457 0.522798i \(-0.824888\pi\)
−0.972288 + 0.233787i \(0.924888\pi\)
\(174\) −1.59692 1.27026i −0.121063 0.0962980i
\(175\) −10.5836 19.7999i −0.800045 1.49673i
\(176\) 3.64738 + 7.47845i 0.274932 + 0.563710i
\(177\) −0.758025 + 4.78598i −0.0569767 + 0.359737i
\(178\) 21.3942 + 4.35275i 1.60356 + 0.326253i
\(179\) −3.94945 + 12.1551i −0.295195 + 0.908518i 0.687960 + 0.725748i \(0.258506\pi\)
−0.983156 + 0.182770i \(0.941494\pi\)
\(180\) 3.39747 2.90813i 0.253232 0.216759i
\(181\) −3.21626 9.89864i −0.239063 0.735760i −0.996556 0.0829173i \(-0.973576\pi\)
0.757494 0.652843i \(-0.226424\pi\)
\(182\) −1.56114 13.7023i −0.115719 1.01568i
\(183\) 12.2706 + 6.25219i 0.907069 + 0.462175i
\(184\) 11.1770 6.06848i 0.823977 0.447375i
\(185\) −0.197464 20.0997i −0.0145179 1.47776i
\(186\) −2.49889 0.109111i −0.183228 0.00800039i
\(187\) 0.826591 + 5.21889i 0.0604463 + 0.381643i
\(188\) −1.53241 3.79290i −0.111762 0.276626i
\(189\) 2.63928 + 3.63265i 0.191979 + 0.264237i
\(190\) 11.8271 15.1722i 0.858027 1.10071i
\(191\) 1.34116 1.84595i 0.0970428 0.133568i −0.757734 0.652563i \(-0.773694\pi\)
0.854777 + 0.518995i \(0.173694\pi\)
\(192\) 7.82521 1.66317i 0.564736 0.120029i
\(193\) 2.06189 + 2.06189i 0.148418 + 0.148418i 0.777411 0.628993i \(-0.216533\pi\)
−0.628993 + 0.777411i \(0.716533\pi\)
\(194\) −13.9015 5.19759i −0.998068 0.373166i
\(195\) 2.24707 + 4.30504i 0.160916 + 0.308291i
\(196\) 26.2238 + 2.29443i 1.87313 + 0.163888i
\(197\) 2.02095 + 3.96633i 0.143986 + 0.282589i 0.951725 0.306951i \(-0.0993088\pi\)
−0.807739 + 0.589541i \(0.799309\pi\)
\(198\) 2.16888 1.98740i 0.154136 0.141239i
\(199\) −18.6400 −1.32135 −0.660676 0.750671i \(-0.729730\pi\)
−0.660676 + 0.750671i \(0.729730\pi\)
\(200\) 4.98163 + 13.2357i 0.352254 + 0.935904i
\(201\) 6.96303 0.491135
\(202\) −11.8153 + 10.8266i −0.831319 + 0.761760i
\(203\) 2.94130 + 5.77262i 0.206439 + 0.405159i
\(204\) 5.06108 + 0.442815i 0.354346 + 0.0310032i
\(205\) 11.4231 11.6498i 0.797825 0.813657i
\(206\) −24.0639 8.99722i −1.67661 0.626866i
\(207\) −3.17954 3.17954i −0.220993 0.220993i
\(208\) −0.151705 + 8.68572i −0.0105188 + 0.602246i
\(209\) 7.43794 10.2374i 0.514493 0.708139i
\(210\) −13.6449 + 3.92879i −0.941590 + 0.271112i
\(211\) −6.16496 8.48534i −0.424413 0.584155i 0.542246 0.840220i \(-0.317574\pi\)
−0.966660 + 0.256065i \(0.917574\pi\)
\(212\) −8.64947 21.4085i −0.594048 1.47034i
\(213\) 1.39447 + 8.80432i 0.0955473 + 0.603262i
\(214\) 3.52402 + 0.153872i 0.240897 + 0.0105184i
\(215\) −7.90820 10.6628i −0.539335 0.727199i
\(216\) −1.34959 2.48568i −0.0918279 0.169129i
\(217\) 7.07609 + 3.60545i 0.480356 + 0.244754i
\(218\) 0.618651 + 5.42996i 0.0419003 + 0.367763i
\(219\) 0.303155 + 0.933017i 0.0204853 + 0.0630474i
\(220\) 3.56933 + 8.59059i 0.240644 + 0.579177i
\(221\) −1.70476 + 5.24671i −0.114675 + 0.352932i
\(222\) −12.4576 2.53456i −0.836097 0.170108i
\(223\) 2.55430 16.1272i 0.171049 1.07996i −0.741489 0.670965i \(-0.765880\pi\)
0.912538 0.408993i \(-0.134120\pi\)
\(224\) −24.7983 5.49800i −1.65691 0.367351i
\(225\) 3.98656 3.01783i 0.265771 0.201189i
\(226\) −5.77228 4.59150i −0.383966 0.305422i
\(227\) 9.94776 + 1.57557i 0.660256 + 0.104574i 0.477565 0.878596i \(-0.341519\pi\)
0.182691 + 0.983170i \(0.441519\pi\)
\(228\) −7.82059 9.32032i −0.517931 0.617253i
\(229\) −14.6534 4.76117i −0.968323 0.314627i −0.218184 0.975908i \(-0.570013\pi\)
−0.750139 + 0.661281i \(0.770013\pi\)
\(230\) 12.8805 6.02345i 0.849315 0.397174i
\(231\) −8.88305 + 2.88628i −0.584462 + 0.189903i
\(232\) −1.36225 3.84697i −0.0894360 0.252566i
\(233\) −2.87986 + 5.65205i −0.188666 + 0.370278i −0.965893 0.258943i \(-0.916626\pi\)
0.777227 + 0.629221i \(0.216626\pi\)
\(234\) 2.95963 0.820770i 0.193477 0.0536554i
\(235\) −1.45599 4.33568i −0.0949783 0.282828i
\(236\) −6.35809 + 7.31407i −0.413877 + 0.476105i
\(237\) 13.4476 2.12989i 0.873516 0.138351i
\(238\) −14.0393 7.94312i −0.910035 0.514876i
\(239\) −0.780902 + 0.567359i −0.0505124 + 0.0366994i −0.612755 0.790273i \(-0.709939\pi\)
0.562243 + 0.826972i \(0.309939\pi\)
\(240\) 8.84459 1.33166i 0.570916 0.0859581i
\(241\) 19.0484 + 13.8395i 1.22701 + 0.891478i 0.996663 0.0816289i \(-0.0260122\pi\)
0.230352 + 0.973107i \(0.426012\pi\)
\(242\) −3.91351 8.58747i −0.251570 0.552023i
\(243\) −0.707107 + 0.707107i −0.0453609 + 0.0453609i
\(244\) 14.1857 + 23.6093i 0.908146 + 1.51143i
\(245\) 29.1125 + 4.31825i 1.85993 + 0.275883i
\(246\) −5.69542 8.60490i −0.363127 0.548628i
\(247\) 11.7717 5.99796i 0.749013 0.381641i
\(248\) −4.12270 2.83351i −0.261792 0.179928i
\(249\) 4.69063i 0.297256i
\(250\) 4.67251 + 15.1052i 0.295515 + 0.955338i
\(251\) 4.80127i 0.303053i 0.988453 + 0.151527i \(0.0484190\pi\)
−0.988453 + 0.151527i \(0.951581\pi\)
\(252\) 0.626393 + 8.95854i 0.0394591 + 0.564335i
\(253\) 8.33391 4.24634i 0.523949 0.266965i
\(254\) −1.86068 + 1.23155i −0.116749 + 0.0772742i
\(255\) 5.61860 + 0.833404i 0.351850 + 0.0521898i
\(256\) 15.0350 + 5.47265i 0.939685 + 0.342041i
\(257\) −21.3134 + 21.3134i −1.32949 + 1.32949i −0.423684 + 0.905810i \(0.639263\pi\)
−0.905810 + 0.423684i \(0.860737\pi\)
\(258\) −7.64012 + 3.48178i −0.475653 + 0.216766i
\(259\) 32.6550 + 23.7253i 2.02908 + 1.47422i
\(260\) −0.751455 + 9.68330i −0.0466033 + 0.600533i
\(261\) −1.16730 + 0.848095i −0.0722542 + 0.0524958i
\(262\) −6.68564 + 11.8167i −0.413040 + 0.730041i
\(263\) −18.2989 + 2.89826i −1.12836 + 0.178714i −0.692581 0.721340i \(-0.743526\pi\)
−0.435777 + 0.900055i \(0.643526\pi\)
\(264\) 5.78497 1.07213i 0.356040 0.0659851i
\(265\) −8.21813 24.4721i −0.504835 1.50331i
\(266\) 10.3234 + 37.2252i 0.632965 + 2.28242i
\(267\) 7.00865 13.7553i 0.428923 0.841808i
\(268\) 11.8099 + 7.37976i 0.721407 + 0.450790i
\(269\) 23.2869 7.56638i 1.41983 0.461330i 0.504281 0.863540i \(-0.331758\pi\)
0.915548 + 0.402209i \(0.131758\pi\)
\(270\) −1.33957 2.86453i −0.0815238 0.174330i
\(271\) 11.5568 + 3.75503i 0.702026 + 0.228102i 0.638213 0.769860i \(-0.279674\pi\)
0.0638128 + 0.997962i \(0.479674\pi\)
\(272\) 8.11473 + 6.11502i 0.492028 + 0.370778i
\(273\) −9.63160 1.52550i −0.582931 0.0923272i
\(274\) 6.88135 8.65099i 0.415717 0.522625i
\(275\) 3.40768 + 9.82653i 0.205491 + 0.592562i
\(276\) −2.02296 8.76261i −0.121768 0.527447i
\(277\) −1.14142 + 7.20665i −0.0685813 + 0.433005i 0.929377 + 0.369133i \(0.120345\pi\)
−0.997958 + 0.0638728i \(0.979655\pi\)
\(278\) 0.865944 4.25619i 0.0519359 0.255270i
\(279\) −0.546548 + 1.68210i −0.0327210 + 0.100705i
\(280\) −27.3070 7.79797i −1.63190 0.466018i
\(281\) 3.36566 + 10.3584i 0.200779 + 0.617933i 0.999860 + 0.0167105i \(0.00531937\pi\)
−0.799082 + 0.601222i \(0.794681\pi\)
\(282\) −2.87402 + 0.327445i −0.171145 + 0.0194991i
\(283\) 3.85499 + 1.96422i 0.229156 + 0.116761i 0.564799 0.825229i \(-0.308954\pi\)
−0.335643 + 0.941989i \(0.608954\pi\)
\(284\) −6.96610 + 16.4108i −0.413362 + 0.973805i
\(285\) −8.10327 10.9259i −0.479997 0.647192i
\(286\) −0.278691 + 6.38268i −0.0164794 + 0.377416i
\(287\) 5.12533 + 32.3601i 0.302539 + 1.91016i
\(288\) 0.345420 5.64630i 0.0203541 0.332711i
\(289\) −6.19958 8.53299i −0.364681 0.501941i
\(290\) −1.26246 4.38461i −0.0741343 0.257473i
\(291\) −6.16847 + 8.49017i −0.361602 + 0.497703i
\(292\) −0.474676 + 1.90378i −0.0277783 + 0.111410i
\(293\) −11.6800 11.6800i −0.682355 0.682355i 0.278176 0.960530i \(-0.410270\pi\)
−0.960530 + 0.278176i \(0.910270\pi\)
\(294\) 6.51875 17.4350i 0.380181 1.01683i
\(295\) −7.58600 + 7.73653i −0.441674 + 0.450438i
\(296\) −18.4429 17.5020i −1.07197 1.01728i
\(297\) −0.944357 1.85340i −0.0547971 0.107545i
\(298\) −16.2411 17.7241i −0.940821 1.02673i
\(299\) 9.76542 0.564749
\(300\) 9.96002 0.893363i 0.575042 0.0515783i
\(301\) 26.6580 1.53654
\(302\) 13.2331 + 14.4415i 0.761479 + 0.831013i
\(303\) 5.14450 + 10.0967i 0.295544 + 0.580038i
\(304\) −3.38631 24.0967i −0.194218 1.38204i
\(305\) 14.2492 + 27.2992i 0.815906 + 1.56315i
\(306\) 1.25809 3.36489i 0.0719203 0.192358i
\(307\) −7.80956 7.80956i −0.445715 0.445715i 0.448212 0.893927i \(-0.352061\pi\)
−0.893927 + 0.448212i \(0.852061\pi\)
\(308\) −18.1255 4.51929i −1.03279 0.257511i
\(309\) −10.6778 + 14.6968i −0.607441 + 0.836071i
\(310\) −4.41112 3.43858i −0.250535 0.195298i
\(311\) −2.70660 3.72531i −0.153477 0.211243i 0.725354 0.688376i \(-0.241676\pi\)
−0.878831 + 0.477133i \(0.841676\pi\)
\(312\) 5.88970 + 1.74466i 0.333439 + 0.0987720i
\(313\) −2.19947 13.8869i −0.124321 0.784933i −0.968526 0.248912i \(-0.919927\pi\)
0.844205 0.536021i \(-0.180073\pi\)
\(314\) −0.157293 + 3.60238i −0.00887657 + 0.203294i
\(315\) 0.0986345 + 10.0399i 0.00555743 + 0.565686i
\(316\) 25.0657 + 10.6399i 1.41006 + 0.598543i
\(317\) −4.05926 2.06830i −0.227991 0.116167i 0.336264 0.941768i \(-0.390837\pi\)
−0.564255 + 0.825601i \(0.690837\pi\)
\(318\) −16.2220 + 1.84822i −0.909684 + 0.103643i
\(319\) −0.927465 2.85444i −0.0519281 0.159818i
\(320\) 16.4126 + 7.11530i 0.917491 + 0.397758i
\(321\) 0.770759 2.37215i 0.0430196 0.132401i
\(322\) −5.69274 + 27.9803i −0.317244 + 1.55928i
\(323\) 2.41739 15.2628i 0.134507 0.849244i
\(324\) −1.94874 + 0.449891i −0.108263 + 0.0249940i
\(325\) −1.48765 + 10.7564i −0.0825201 + 0.596659i
\(326\) 18.2608 22.9569i 1.01137 1.27147i
\(327\) 3.81683 + 0.604526i 0.211071 + 0.0334304i
\(328\) −0.540072 20.6310i −0.0298205 1.13915i
\(329\) 8.73470 + 2.83808i 0.481559 + 0.156468i
\(330\) 6.52802 0.808794i 0.359356 0.0445226i
\(331\) −24.1401 + 7.84361i −1.32686 + 0.431124i −0.884846 0.465883i \(-0.845737\pi\)
−0.442016 + 0.897007i \(0.645737\pi\)
\(332\) −4.97135 + 7.95573i −0.272838 + 0.436627i
\(333\) −4.08106 + 8.00952i −0.223641 + 0.438919i
\(334\) 6.52572 + 23.5312i 0.357072 + 1.28757i
\(335\) 12.6855 + 9.02753i 0.693085 + 0.493226i
\(336\) −8.43227 + 15.8584i −0.460018 + 0.865146i
\(337\) 2.81142 0.445285i 0.153148 0.0242562i −0.0793897 0.996844i \(-0.525297\pi\)
0.232537 + 0.972587i \(0.425297\pi\)
\(338\) 5.76856 10.1958i 0.313768 0.554580i
\(339\) −4.21936 + 3.06554i −0.229164 + 0.166497i
\(340\) 8.64637 + 7.36839i 0.468915 + 0.399607i
\(341\) −2.97641 2.16249i −0.161182 0.117105i
\(342\) −7.82858 + 3.56766i −0.423321 + 0.192917i
\(343\) −19.5646 + 19.5646i −1.05639 + 1.05639i
\(344\) −16.6485 2.19195i −0.897626 0.118182i
\(345\) −1.67036 9.91486i −0.0899294 0.533798i
\(346\) −28.6568 + 18.9674i −1.54060 + 1.01969i
\(347\) 6.72865 3.42842i 0.361213 0.184047i −0.263960 0.964534i \(-0.585029\pi\)
0.625173 + 0.780487i \(0.285029\pi\)
\(348\) −2.87870 + 0.201283i −0.154315 + 0.0107899i
\(349\) 0.864340i 0.0462670i 0.999732 + 0.0231335i \(0.00736428\pi\)
−0.999732 + 0.0231335i \(0.992636\pi\)
\(350\) −29.9526 10.5329i −1.60103 0.563009i
\(351\) 2.17176i 0.115920i
\(352\) 10.9481 + 4.31275i 0.583537 + 0.229871i
\(353\) −0.498575 + 0.254037i −0.0265365 + 0.0135210i −0.467208 0.884147i \(-0.654740\pi\)
0.440672 + 0.897668i \(0.354740\pi\)
\(354\) 3.78228 + 5.71444i 0.201026 + 0.303719i
\(355\) −8.87424 + 17.8480i −0.470996 + 0.947273i
\(356\) 26.4658 15.9021i 1.40268 0.842807i
\(357\) −8.06530 + 8.06530i −0.426861 + 0.426861i
\(358\) 7.49537 + 16.4472i 0.396143 + 0.869262i
\(359\) −8.80968 6.40061i −0.464957 0.337811i 0.330516 0.943801i \(-0.392777\pi\)
−0.795473 + 0.605989i \(0.792777\pi\)
\(360\) 0.763932 6.27825i 0.0402628 0.330893i
\(361\) −14.5683 + 10.5845i −0.766755 + 0.557080i
\(362\) −12.8109 7.24811i −0.673327 0.380952i
\(363\) −6.59093 + 1.04390i −0.345934 + 0.0547906i
\(364\) −14.7193 12.7954i −0.771500 0.670662i
\(365\) −0.657348 + 2.09285i −0.0344072 + 0.109545i
\(366\) 18.7677 5.20469i 0.981003 0.272053i
\(367\) −2.00355 + 3.93219i −0.104585 + 0.205259i −0.937368 0.348339i \(-0.886746\pi\)
0.832784 + 0.553598i \(0.186746\pi\)
\(368\) 5.85591 17.0062i 0.305260 0.886509i
\(369\) −6.93952 + 2.25479i −0.361257 + 0.117380i
\(370\) −19.4097 20.7687i −1.00906 1.07971i
\(371\) 49.3018 + 16.0191i 2.55962 + 0.831671i
\(372\) −2.70977 + 2.27374i −0.140495 + 0.117888i
\(373\) 30.4365 + 4.82066i 1.57594 + 0.249604i 0.882290 0.470707i \(-0.156001\pi\)
0.693651 + 0.720311i \(0.256001\pi\)
\(374\) 5.84812 + 4.65183i 0.302399 + 0.240541i
\(375\) 11.1755 0.329456i 0.577100 0.0170131i
\(376\) −5.22164 2.49065i −0.269285 0.128445i
\(377\) 0.490197 3.09498i 0.0252464 0.159400i
\(378\) 6.22263 + 1.26603i 0.320058 + 0.0651174i
\(379\) 5.63128 17.3313i 0.289259 0.890248i −0.695830 0.718206i \(-0.744963\pi\)
0.985090 0.172042i \(-0.0550365\pi\)
\(380\) −2.16414 27.1195i −0.111018 1.39120i
\(381\) 0.487564 + 1.50057i 0.0249786 + 0.0768763i
\(382\) −0.365279 3.20609i −0.0186893 0.164038i
\(383\) −25.7096 13.0997i −1.31370 0.669364i −0.350101 0.936712i \(-0.613853\pi\)
−0.963600 + 0.267348i \(0.913853\pi\)
\(384\) 6.57008 9.21054i 0.335278 0.470023i
\(385\) −19.9255 6.25847i −1.01550 0.318961i
\(386\) 4.11986 + 0.179888i 0.209695 + 0.00915607i
\(387\) 0.928740 + 5.86383i 0.0472105 + 0.298075i
\(388\) −19.4606 + 7.86246i −0.987961 + 0.399156i
\(389\) −7.36949 10.1432i −0.373648 0.514282i 0.580240 0.814446i \(-0.302959\pi\)
−0.953888 + 0.300163i \(0.902959\pi\)
\(390\) 6.45611 + 2.34183i 0.326918 + 0.118583i
\(391\) 6.71377 9.24071i 0.339530 0.467323i
\(392\) 29.5349 22.6625i 1.49174 1.14463i
\(393\) 6.78847 + 6.78847i 0.342433 + 0.342433i
\(394\) 5.89672 + 2.20471i 0.297072 + 0.111072i
\(395\) 27.2608 + 13.5544i 1.37164 + 0.681996i
\(396\) 0.362612 4.14442i 0.0182219 0.208265i
\(397\) −0.707656 1.38885i −0.0355163 0.0697046i 0.872566 0.488495i \(-0.162454\pi\)
−0.908083 + 0.418791i \(0.862454\pi\)
\(398\) −19.4353 + 17.8091i −0.974206 + 0.892690i
\(399\) 27.3156 1.36749
\(400\) 17.8399 + 9.04088i 0.891996 + 0.452044i
\(401\) 32.2568 1.61083 0.805415 0.592712i \(-0.201943\pi\)
0.805415 + 0.592712i \(0.201943\pi\)
\(402\) 7.26015 6.65266i 0.362103 0.331805i
\(403\) −1.74383 3.42246i −0.0868665 0.170485i
\(404\) −1.97538 + 22.5772i −0.0982786 + 1.12326i
\(405\) −2.20500 + 0.371477i −0.109567 + 0.0184589i
\(406\) 8.58212 + 3.20875i 0.425923 + 0.159248i
\(407\) −13.2221 13.2221i −0.655395 0.655395i
\(408\) 5.70011 4.37377i 0.282198 0.216534i
\(409\) 13.1897 18.1540i 0.652187 0.897659i −0.347004 0.937864i \(-0.612801\pi\)
0.999191 + 0.0402050i \(0.0128011\pi\)
\(410\) 0.780031 23.0608i 0.0385230 1.13889i
\(411\) −4.59437 6.32361i −0.226624 0.311921i
\(412\) −33.6869 + 13.6102i −1.65964 + 0.670526i
\(413\) −3.40369 21.4901i −0.167485 1.05746i
\(414\) −6.35302 0.277396i −0.312234 0.0136333i
\(415\) −6.08137 + 8.54558i −0.298523 + 0.419486i
\(416\) 8.14039 + 9.20129i 0.399115 + 0.451130i
\(417\) −2.73650 1.39431i −0.134007 0.0682799i
\(418\) −2.02580 17.7807i −0.0990853 0.869681i
\(419\) −7.45146 22.9332i −0.364028 1.12036i −0.950588 0.310456i \(-0.899518\pi\)
0.586560 0.809906i \(-0.300482\pi\)
\(420\) −10.4735 + 17.1332i −0.511055 + 0.836013i
\(421\) 4.41337 13.5829i 0.215094 0.661992i −0.784053 0.620694i \(-0.786851\pi\)
0.999147 0.0412979i \(-0.0131493\pi\)
\(422\) −14.5351 2.95725i −0.707559 0.143957i
\(423\) −0.319969 + 2.02020i −0.0155574 + 0.0982256i
\(424\) −29.4728 14.0581i −1.43133 0.682722i
\(425\) 9.15570 + 8.80280i 0.444116 + 0.426999i
\(426\) 9.86585 + 7.84769i 0.478002 + 0.380222i
\(427\) −61.0761 9.67351i −2.95568 0.468134i
\(428\) 3.82140 3.20650i 0.184714 0.154992i
\(429\) 4.29643 + 1.39599i 0.207434 + 0.0673993i
\(430\) −18.4332 3.56212i −0.888927 0.171780i
\(431\) 25.9632 8.43597i 1.25060 0.406346i 0.392467 0.919766i \(-0.371622\pi\)
0.858138 + 0.513420i \(0.171622\pi\)
\(432\) −3.78206 1.30231i −0.181964 0.0626576i
\(433\) 14.2105 27.8897i 0.682913 1.34029i −0.245738 0.969336i \(-0.579030\pi\)
0.928651 0.370956i \(-0.120970\pi\)
\(434\) 10.8228 3.00139i 0.519509 0.144071i
\(435\) −3.22619 + 0.0316948i −0.154684 + 0.00151965i
\(436\) 5.83298 + 5.07058i 0.279349 + 0.242837i
\(437\) −27.0174 + 4.27913i −1.29242 + 0.204699i
\(438\) 1.20752 + 0.683186i 0.0576975 + 0.0326439i
\(439\) −20.9443 + 15.2169i −0.999616 + 0.726263i −0.962006 0.273029i \(-0.911974\pi\)
−0.0376099 + 0.999292i \(0.511974\pi\)
\(440\) 11.9293 + 5.54692i 0.568707 + 0.264439i
\(441\) −10.6483 7.73641i −0.507060 0.368401i
\(442\) 3.23534 + 7.09937i 0.153890 + 0.337682i
\(443\) 15.0847 15.0847i 0.716694 0.716694i −0.251233 0.967927i \(-0.580836\pi\)
0.967927 + 0.251233i \(0.0808360\pi\)
\(444\) −15.4107 + 9.25958i −0.731360 + 0.439440i
\(445\) 30.6023 15.9732i 1.45069 0.757204i
\(446\) −12.7451 19.2558i −0.603496 0.911789i
\(447\) −15.1460 + 7.71729i −0.716383 + 0.365015i
\(448\) −31.1094 + 17.9603i −1.46978 + 0.848546i
\(449\) 4.78357i 0.225750i 0.993609 + 0.112875i \(0.0360060\pi\)
−0.993609 + 0.112875i \(0.963994\pi\)
\(450\) 1.27336 6.95547i 0.0600267 0.327884i
\(451\) 15.1779i 0.714701i
\(452\) −10.4054 + 0.727561i −0.489430 + 0.0342216i
\(453\) 12.3409 6.28798i 0.579824 0.295435i
\(454\) 11.8776 7.86155i 0.557442 0.368961i
\(455\) −15.5695 15.2665i −0.729907 0.715705i
\(456\) −17.0592 2.24602i −0.798869 0.105180i
\(457\) 4.80645 4.80645i 0.224836 0.224836i −0.585695 0.810531i \(-0.699178\pi\)
0.810531 + 0.585695i \(0.199178\pi\)
\(458\) −19.8276 + 9.03589i −0.926482 + 0.422219i
\(459\) −2.05507 1.49310i −0.0959224 0.0696917i
\(460\) 7.67515 18.5868i 0.357856 0.866615i
\(461\) −0.725727 + 0.527271i −0.0338005 + 0.0245575i −0.604557 0.796562i \(-0.706650\pi\)
0.570757 + 0.821119i \(0.306650\pi\)
\(462\) −6.50447 + 11.4965i −0.302615 + 0.534867i
\(463\) 29.7408 4.71048i 1.38217 0.218914i 0.579323 0.815098i \(-0.303317\pi\)
0.802848 + 0.596184i \(0.203317\pi\)
\(464\) −5.09587 2.70959i −0.236570 0.125790i
\(465\) −3.17656 + 2.35593i −0.147309 + 0.109253i
\(466\) 2.39737 + 8.64471i 0.111056 + 0.400459i
\(467\) 7.71551 15.1425i 0.357031 0.700713i −0.640717 0.767777i \(-0.721363\pi\)
0.997749 + 0.0670634i \(0.0213630\pi\)
\(468\) 2.30174 3.68350i 0.106398 0.170270i
\(469\) −29.7352 + 9.66156i −1.37305 + 0.446130i
\(470\) −5.66053 3.12959i −0.261101 0.144357i
\(471\) 2.42490 + 0.787899i 0.111734 + 0.0363045i
\(472\) 0.358657 + 13.7009i 0.0165085 + 0.630633i
\(473\) −12.1975 1.93189i −0.560842 0.0888286i
\(474\) 11.9865 15.0690i 0.550557 0.692141i
\(475\) −0.597587 30.4110i −0.0274192 1.39535i
\(476\) −22.2275 + 5.13149i −1.01879 + 0.235201i
\(477\) −1.80602 + 11.4028i −0.0826919 + 0.522096i
\(478\) −0.272154 + 1.33766i −0.0124480 + 0.0611832i
\(479\) 6.57174 20.2257i 0.300270 0.924137i −0.681130 0.732163i \(-0.738511\pi\)
0.981400 0.191974i \(-0.0614890\pi\)
\(480\) 7.94969 9.83883i 0.362852 0.449079i
\(481\) −6.03282 18.5671i −0.275073 0.846587i
\(482\) 33.0838 3.76933i 1.50692 0.171688i
\(483\) 17.9898 + 9.16626i 0.818564 + 0.417079i
\(484\) −12.2852 5.21483i −0.558417 0.237038i
\(485\) −22.2454 + 7.47037i −1.01011 + 0.339212i
\(486\) −0.0616910 + 1.41287i −0.00279836 + 0.0640890i
\(487\) 0.734244 + 4.63584i 0.0332718 + 0.210070i 0.998723 0.0505125i \(-0.0160855\pi\)
−0.965452 + 0.260582i \(0.916085\pi\)
\(488\) 37.3479 + 11.0633i 1.69066 + 0.500811i
\(489\) −12.1920 16.7808i −0.551339 0.758854i
\(490\) 34.4805 23.3124i 1.55767 1.05315i
\(491\) −12.0866 + 16.6358i −0.545460 + 0.750762i −0.989387 0.145301i \(-0.953585\pi\)
0.443927 + 0.896063i \(0.353585\pi\)
\(492\) −14.1598 3.53051i −0.638373 0.159168i
\(493\) −2.59167 2.59167i −0.116723 0.116723i
\(494\) 6.54335 17.5008i 0.294399 0.787400i
\(495\) 0.682458 4.60096i 0.0306742 0.206798i
\(496\) −7.00582 + 0.984526i −0.314571 + 0.0442065i
\(497\) −18.1714 35.6635i −0.815100 1.59972i
\(498\) 4.48155 + 4.89078i 0.200823 + 0.219161i
\(499\) 23.3972 1.04740 0.523702 0.851901i \(-0.324550\pi\)
0.523702 + 0.851901i \(0.324550\pi\)
\(500\) 19.3038 + 11.2855i 0.863292 + 0.504704i
\(501\) 17.2671 0.771436
\(502\) 4.58726 + 5.00614i 0.204739 + 0.223435i
\(503\) 6.50796 + 12.7726i 0.290176 + 0.569502i 0.989368 0.145432i \(-0.0464570\pi\)
−0.699193 + 0.714933i \(0.746457\pi\)
\(504\) 9.21235 + 8.74233i 0.410351 + 0.389415i
\(505\) −3.71778 + 25.0643i −0.165439 + 1.11535i
\(506\) 4.63246 12.3900i 0.205938 0.550801i
\(507\) −5.85728 5.85728i −0.260131 0.260131i
\(508\) −0.763420 + 3.06184i −0.0338713 + 0.135847i
\(509\) −16.0722 + 22.1215i −0.712388 + 0.980517i 0.287355 + 0.957824i \(0.407224\pi\)
−0.999742 + 0.0226933i \(0.992776\pi\)
\(510\) 6.65460 4.49919i 0.294671 0.199228i
\(511\) −2.58922 3.56375i −0.114540 0.157651i
\(512\) 20.9052 8.65862i 0.923889 0.382661i
\(513\) 0.951650 + 6.00848i 0.0420164 + 0.265281i
\(514\) −1.85947 + 42.5862i −0.0820178 + 1.87840i
\(515\) −38.5076 + 12.9315i −1.69685 + 0.569828i
\(516\) −4.63954 + 10.9299i −0.204245 + 0.481163i
\(517\) −3.79092 1.93157i −0.166725 0.0849505i
\(518\) 56.7161 6.46183i 2.49196 0.283917i
\(519\) 7.50909 + 23.1106i 0.329613 + 1.01444i
\(520\) 8.46816 + 10.8144i 0.371353 + 0.474245i
\(521\) −8.57371 + 26.3872i −0.375621 + 1.15604i 0.567437 + 0.823417i \(0.307935\pi\)
−0.943059 + 0.332627i \(0.892065\pi\)
\(522\) −0.406820 + 1.99956i −0.0178060 + 0.0875181i
\(523\) −2.86352 + 18.0796i −0.125213 + 0.790565i 0.842534 + 0.538643i \(0.181063\pi\)
−0.967747 + 0.251922i \(0.918937\pi\)
\(524\) 4.31911 + 18.7086i 0.188681 + 0.817289i
\(525\) −12.8370 + 18.4190i −0.560253 + 0.803872i
\(526\) −16.3106 + 20.5052i −0.711177 + 0.894068i
\(527\) −4.43746 0.702825i −0.193299 0.0306155i
\(528\) 5.00747 6.64499i 0.217922 0.289186i
\(529\) 2.64498 + 0.859405i 0.114999 + 0.0373654i
\(530\) −31.9501 17.6645i −1.38782 0.767299i
\(531\) 4.60848 1.49739i 0.199991 0.0649810i
\(532\) 46.3298 + 28.9504i 2.00865 + 1.25516i
\(533\) 7.19419 14.1194i 0.311615 0.611579i
\(534\) −5.83442 21.0384i −0.252480 0.910423i
\(535\) 4.47968 3.32240i 0.193674 0.143640i
\(536\) 19.3647 3.58887i 0.836427 0.155015i
\(537\) 12.6233 1.99934i 0.544737 0.0862778i
\(538\) 17.0515 30.1382i 0.735141 1.29935i
\(539\) 22.1497 16.0927i 0.954055 0.693162i
\(540\) −4.13358 1.70690i −0.177881 0.0734533i
\(541\) −2.99298 2.17453i −0.128678 0.0934902i 0.521584 0.853200i \(-0.325341\pi\)
−0.650263 + 0.759709i \(0.725341\pi\)
\(542\) 15.6376 7.12641i 0.671692 0.306105i
\(543\) −7.35960 + 7.35960i −0.315831 + 0.315831i
\(544\) 14.3034 1.37707i 0.613255 0.0590413i
\(545\) 6.16989 + 6.04984i 0.264289 + 0.259147i
\(546\) −11.5001 + 7.61169i −0.492158 + 0.325750i
\(547\) 36.8218 18.7616i 1.57439 0.802190i 0.574519 0.818492i \(-0.305189\pi\)
0.999867 + 0.0163019i \(0.00518929\pi\)
\(548\) −1.09041 15.5947i −0.0465798 0.666174i
\(549\) 13.7716i 0.587759i
\(550\) 12.9416 + 6.99004i 0.551832 + 0.298056i
\(551\) 8.77749i 0.373934i
\(552\) −10.4813 7.20372i −0.446114 0.306611i
\(553\) −54.4719 + 27.7548i −2.31638 + 1.18026i
\(554\) 5.69529 + 8.60470i 0.241970 + 0.365579i
\(555\) −17.8193 + 9.30102i −0.756388 + 0.394806i
\(556\) −3.16358 5.26515i −0.134166 0.223292i
\(557\) −13.3650 + 13.3650i −0.566292 + 0.566292i −0.931088 0.364795i \(-0.881139\pi\)
0.364795 + 0.931088i \(0.381139\pi\)
\(558\) 1.03725 + 2.27606i 0.0439105 + 0.0963534i
\(559\) −10.4311 7.57866i −0.441190 0.320543i
\(560\) −35.9225 + 17.9591i −1.51800 + 0.758909i
\(561\) 4.27480 3.10582i 0.180482 0.131128i
\(562\) 13.4060 + 7.58480i 0.565498 + 0.319945i
\(563\) −0.762754 + 0.120808i −0.0321463 + 0.00509147i −0.172487 0.985012i \(-0.555180\pi\)
0.140341 + 0.990103i \(0.455180\pi\)
\(564\) −2.68380 + 3.08733i −0.113009 + 0.130000i
\(565\) −11.6615 + 0.114565i −0.490601 + 0.00481978i
\(566\) 5.89615 1.63513i 0.247834 0.0687296i
\(567\) 2.03851 4.00080i 0.0856095 0.168018i
\(568\) 8.41601 + 23.7667i 0.353128 + 0.997228i
\(569\) 4.42737 1.43854i 0.185605 0.0603068i −0.214740 0.976671i \(-0.568890\pi\)
0.400345 + 0.916365i \(0.368890\pi\)
\(570\) −18.8879 3.64998i −0.791127 0.152881i
\(571\) −25.9192 8.42167i −1.08469 0.352436i −0.288496 0.957481i \(-0.593155\pi\)
−0.796191 + 0.605045i \(0.793155\pi\)
\(572\) 5.80759 + 6.92130i 0.242828 + 0.289394i
\(573\) −2.25362 0.356939i −0.0941465 0.0149113i
\(574\) 36.2617 + 28.8440i 1.51353 + 1.20393i
\(575\) 9.81141 20.2289i 0.409164 0.843604i
\(576\) −5.03446 6.21725i −0.209769 0.259052i
\(577\) −3.36036 + 21.2165i −0.139894 + 0.883253i 0.813509 + 0.581552i \(0.197554\pi\)
−0.953403 + 0.301701i \(0.902446\pi\)
\(578\) −14.6168 2.97385i −0.607977 0.123696i
\(579\) 0.901080 2.77324i 0.0374476 0.115252i
\(580\) −5.50550 3.36551i −0.228604 0.139745i
\(581\) −6.50848 20.0311i −0.270017 0.831028i
\(582\) 1.68005 + 14.7460i 0.0696403 + 0.611240i
\(583\) −21.3973 10.9025i −0.886187 0.451535i
\(584\) 1.32399 + 2.43853i 0.0547871 + 0.100907i
\(585\) 2.81567 3.95661i 0.116414 0.163585i
\(586\) −23.3378 1.01902i −0.964077 0.0420951i
\(587\) −0.100781 0.636305i −0.00415967 0.0262631i 0.985521 0.169552i \(-0.0542321\pi\)
−0.989681 + 0.143289i \(0.954232\pi\)
\(588\) −9.86099 24.4072i −0.406660 1.00654i
\(589\) 6.32425 + 8.70459i 0.260586 + 0.358666i
\(590\) −0.518012 + 15.3145i −0.0213262 + 0.630488i
\(591\) 2.61654 3.60135i 0.107630 0.148140i
\(592\) −35.9517 0.627932i −1.47761 0.0258079i
\(593\) 26.5567 + 26.5567i 1.09055 + 1.09055i 0.995469 + 0.0950849i \(0.0303123\pi\)
0.0950849 + 0.995469i \(0.469688\pi\)
\(594\) −2.75544 1.03023i −0.113057 0.0422707i
\(595\) −25.1503 + 4.23709i −1.03106 + 0.173704i
\(596\) −33.8682 2.96327i −1.38730 0.121380i
\(597\) 8.46237 + 16.6083i 0.346342 + 0.679734i
\(598\) 10.1821 9.33014i 0.416378 0.381538i
\(599\) −43.2901 −1.76879 −0.884393 0.466743i \(-0.845427\pi\)
−0.884393 + 0.466743i \(0.845427\pi\)
\(600\) 9.53147 10.4475i 0.389121 0.426519i
\(601\) −5.53025 −0.225584 −0.112792 0.993619i \(-0.535979\pi\)
−0.112792 + 0.993619i \(0.535979\pi\)
\(602\) 27.7955 25.4698i 1.13286 1.03807i
\(603\) −3.16115 6.20411i −0.128732 0.252651i
\(604\) 27.5955 + 2.41445i 1.12285 + 0.0982424i
\(605\) −13.3610 6.64327i −0.543203 0.270087i
\(606\) 15.0106 + 5.61229i 0.609765 + 0.227984i
\(607\) −10.5049 10.5049i −0.426379 0.426379i 0.461014 0.887393i \(-0.347486\pi\)
−0.887393 + 0.461014i \(0.847486\pi\)
\(608\) −26.5534 21.8896i −1.07688 0.887740i
\(609\) 3.80812 5.24143i 0.154313 0.212394i
\(610\) 40.9396 + 14.8501i 1.65760 + 0.601262i
\(611\) −2.61099 3.59373i −0.105630 0.145387i
\(612\) −1.90313 4.71049i −0.0769295 0.190410i
\(613\) 3.99442 + 25.2198i 0.161333 + 1.01862i 0.926913 + 0.375276i \(0.122452\pi\)
−0.765580 + 0.643341i \(0.777548\pi\)
\(614\) −15.6043 0.681339i −0.629737 0.0274966i
\(615\) −15.5660 4.88918i −0.627683 0.197151i
\(616\) −23.2167 + 12.6054i −0.935429 + 0.507887i
\(617\) 11.1407 + 5.67648i 0.448509 + 0.228527i 0.663630 0.748061i \(-0.269015\pi\)
−0.215122 + 0.976587i \(0.569015\pi\)
\(618\) 2.90823 + 25.5258i 0.116986 + 1.02680i
\(619\) 3.93346 + 12.1059i 0.158099 + 0.486579i 0.998462 0.0554458i \(-0.0176580\pi\)
−0.840363 + 0.542024i \(0.817658\pi\)
\(620\) −7.88465 + 0.629198i −0.316655 + 0.0252692i
\(621\) −1.38951 + 4.27647i −0.0557591 + 0.171609i
\(622\) −6.38135 1.29832i −0.255869 0.0520578i
\(623\) −10.8439 + 68.4659i −0.434453 + 2.74303i
\(624\) 7.80791 3.80807i 0.312566 0.152445i
\(625\) 20.7871 + 13.8887i 0.831484 + 0.555549i
\(626\) −15.5612 12.3780i −0.621951 0.494725i
\(627\) −12.4984 1.97955i −0.499137 0.0790556i
\(628\) 3.27780 + 3.90638i 0.130799 + 0.155881i
\(629\) −21.7171 7.05630i −0.865916 0.281353i
\(630\) 9.69525 + 10.3741i 0.386268 + 0.413314i
\(631\) 33.2425 10.8011i 1.32336 0.429986i 0.439713 0.898138i \(-0.355080\pi\)
0.883648 + 0.468152i \(0.155080\pi\)
\(632\) 36.3010 12.8545i 1.44397 0.511325i
\(633\) −4.76166 + 9.34528i −0.189259 + 0.371442i
\(634\) −6.20858 + 1.72177i −0.246574 + 0.0683803i
\(635\) −1.05721 + 3.36592i −0.0419541 + 0.133572i
\(636\) −15.1484 + 17.4260i −0.600671 + 0.690986i
\(637\) 28.2327 4.47163i 1.11862 0.177172i
\(638\) −3.69425 2.09012i −0.146257 0.0827486i
\(639\) 7.21163 5.23956i 0.285288 0.207274i
\(640\) 23.9110 8.26208i 0.945167 0.326587i
\(641\) −12.4082 9.01507i −0.490094 0.356074i 0.315127 0.949050i \(-0.397953\pi\)
−0.805220 + 0.592976i \(0.797953\pi\)
\(642\) −1.46277 3.20978i −0.0577309 0.126680i
\(643\) −4.12183 + 4.12183i −0.162549 + 0.162549i −0.783695 0.621146i \(-0.786667\pi\)
0.621146 + 0.783695i \(0.286667\pi\)
\(644\) 20.7975 + 34.6132i 0.819536 + 1.36395i
\(645\) −5.91040 + 11.8871i −0.232722 + 0.468053i
\(646\) −12.0619 18.2237i −0.474570 0.717001i
\(647\) 29.6311 15.0978i 1.16492 0.593556i 0.238904 0.971043i \(-0.423212\pi\)
0.926015 + 0.377488i \(0.123212\pi\)
\(648\) −1.60206 + 2.33097i −0.0629348 + 0.0915691i
\(649\) 10.0795i 0.395656i
\(650\) 8.72583 + 12.6367i 0.342255 + 0.495654i
\(651\) 7.94168i 0.311259i
\(652\) −2.89358 41.3834i −0.113321 1.62070i
\(653\) 31.3131 15.9548i 1.22538 0.624360i 0.283065 0.959101i \(-0.408649\pi\)
0.942310 + 0.334741i \(0.108649\pi\)
\(654\) 4.55727 3.01637i 0.178203 0.117950i
\(655\) 3.56631 + 21.1687i 0.139347 + 0.827130i
\(656\) −20.2745 20.9953i −0.791585 0.819728i
\(657\) 0.693694 0.693694i 0.0270636 0.0270636i
\(658\) 11.8190 5.38618i 0.460752 0.209975i
\(659\) −10.8923 7.91373i −0.424304 0.308275i 0.355063 0.934842i \(-0.384459\pi\)
−0.779367 + 0.626567i \(0.784459\pi\)
\(660\) 6.03383 7.08034i 0.234866 0.275602i
\(661\) −14.4788 + 10.5195i −0.563160 + 0.409159i −0.832614 0.553854i \(-0.813157\pi\)
0.269454 + 0.963013i \(0.413157\pi\)
\(662\) −17.6762 + 31.2424i −0.687006 + 1.21427i
\(663\) 5.44880 0.863005i 0.211614 0.0335164i
\(664\) 2.41763 + 13.0450i 0.0938222 + 0.506243i
\(665\) 49.7647 + 35.4145i 1.92979 + 1.37332i
\(666\) 3.39731 + 12.2504i 0.131643 + 0.474695i
\(667\) −2.94545 + 5.78077i −0.114048 + 0.223832i
\(668\) 29.2865 + 18.3005i 1.13313 + 0.708067i
\(669\) −15.5291 + 5.04570i −0.600389 + 0.195078i
\(670\) 21.8520 2.70737i 0.844215 0.104595i
\(671\) 27.2446 + 8.85231i 1.05177 + 0.341740i
\(672\) 6.35943 + 24.5915i 0.245320 + 0.948637i
\(673\) 1.17648 + 0.186337i 0.0453501 + 0.00718275i 0.179068 0.983837i \(-0.442692\pi\)
−0.133718 + 0.991019i \(0.542692\pi\)
\(674\) 2.50595 3.15039i 0.0965254 0.121348i
\(675\) −4.49877 2.18199i −0.173158 0.0839848i
\(676\) −3.72665 16.1423i −0.143333 0.620858i
\(677\) −4.65493 + 29.3901i −0.178904 + 1.12955i 0.720829 + 0.693113i \(0.243761\pi\)
−0.899733 + 0.436441i \(0.856239\pi\)
\(678\) −1.47050 + 7.22763i −0.0564742 + 0.277576i
\(679\) 14.5616 44.8159i 0.558821 1.71988i
\(680\) 16.0553 0.578170i 0.615691 0.0221718i
\(681\) −3.11234 9.57881i −0.119265 0.367061i
\(682\) −5.16951 + 0.588977i −0.197951 + 0.0225531i
\(683\) −15.7957 8.04833i −0.604407 0.307961i 0.124877 0.992172i \(-0.460146\pi\)
−0.729283 + 0.684212i \(0.760146\pi\)
\(684\) −4.75399 + 11.1995i −0.181773 + 0.428225i
\(685\) −0.171700 17.4772i −0.00656031 0.667769i
\(686\) −1.70690 + 39.0920i −0.0651697 + 1.49254i
\(687\) 2.41026 + 15.2178i 0.0919572 + 0.580595i
\(688\) −19.4531 + 13.6209i −0.741644 + 0.519293i
\(689\) −14.7374 20.2843i −0.561450 0.772769i
\(690\) −11.2146 8.74202i −0.426931 0.332803i
\(691\) 5.11148 7.03535i 0.194450 0.267637i −0.700648 0.713507i \(-0.747106\pi\)
0.895098 + 0.445870i \(0.147106\pi\)
\(692\) −11.7576 + 47.1562i −0.446958 + 1.79261i
\(693\) 6.60451 + 6.60451i 0.250885 + 0.250885i
\(694\) 3.74016 10.0034i 0.141975 0.379725i
\(695\) −3.17774 6.08807i −0.120539 0.230934i
\(696\) −2.80923 + 2.96026i −0.106483 + 0.112208i
\(697\) −8.41470 16.5148i −0.318730 0.625542i
\(698\) 0.825812 + 0.901221i 0.0312575 + 0.0341117i
\(699\) 6.34344 0.239931
\(700\) −41.2941 + 17.6351i −1.56077 + 0.666543i
\(701\) 17.7811 0.671583 0.335792 0.941936i \(-0.390996\pi\)
0.335792 + 0.941936i \(0.390996\pi\)
\(702\) −2.07496 2.26443i −0.0783142 0.0854654i
\(703\) 24.8266 + 48.7249i 0.936353 + 1.83770i
\(704\) 15.5358 5.96334i 0.585528 0.224752i
\(705\) −3.20211 + 3.26565i −0.120598 + 0.122992i
\(706\) −0.277136 + 0.741228i −0.0104302 + 0.0278965i
\(707\) −35.9789 35.9789i −1.35313 1.35313i
\(708\) 9.40340 + 2.34458i 0.353401 + 0.0881149i
\(709\) 5.90417 8.12640i 0.221736 0.305193i −0.683627 0.729831i \(-0.739599\pi\)
0.905363 + 0.424638i \(0.139599\pi\)
\(710\) 7.79953 + 27.0883i 0.292711 + 1.01660i
\(711\) −8.00284 11.0150i −0.300130 0.413093i
\(712\) 12.4019 41.8667i 0.464779 1.56902i
\(713\) 1.24411 + 7.85497i 0.0465921 + 0.294171i
\(714\) −0.703651 + 16.1152i −0.0263335 + 0.603098i
\(715\) 6.01752 + 8.11357i 0.225042 + 0.303430i
\(716\) 23.5293 + 9.98774i 0.879331 + 0.373259i
\(717\) 0.860042 + 0.438213i 0.0321189 + 0.0163654i
\(718\) −15.3009 + 1.74327i −0.571024 + 0.0650584i
\(719\) −0.629430 1.93719i −0.0234738 0.0722449i 0.938633 0.344916i \(-0.112093\pi\)
−0.962107 + 0.272672i \(0.912093\pi\)
\(720\) −5.20187 7.27602i −0.193862 0.271161i
\(721\) 25.2066 77.5778i 0.938741 2.88915i
\(722\) −5.07725 + 24.9551i −0.188956 + 0.928734i
\(723\) 3.68327 23.2552i 0.136982 0.864871i
\(724\) −20.2826 + 4.68249i −0.753797 + 0.174023i
\(725\) −5.91870 4.12499i −0.219815 0.153198i
\(726\) −5.87479 + 7.38559i −0.218034 + 0.274105i
\(727\) 30.0171 + 4.75424i 1.11327 + 0.176325i 0.685861 0.727733i \(-0.259426\pi\)
0.427411 + 0.904058i \(0.359426\pi\)
\(728\) −27.5724 + 0.721783i −1.02190 + 0.0267511i
\(729\) 0.951057 + 0.309017i 0.0352243 + 0.0114451i
\(730\) 1.31416 + 2.81020i 0.0486394 + 0.104010i
\(731\) −14.3429 + 4.66029i −0.530491 + 0.172367i
\(732\) 14.5958 23.3579i 0.539477 0.863334i
\(733\) 1.85241 3.63556i 0.0684203 0.134282i −0.854263 0.519841i \(-0.825991\pi\)
0.922683 + 0.385559i \(0.125991\pi\)
\(734\) 1.66787 + 6.01423i 0.0615624 + 0.221989i
\(735\) −9.36923 27.8999i −0.345589 1.02910i
\(736\) −10.1424 23.3267i −0.373853 0.859835i
\(737\) 14.3057 2.26579i 0.526956 0.0834616i
\(738\) −5.08135 + 8.98120i −0.187047 + 0.330602i
\(739\) −3.36210 + 2.44271i −0.123677 + 0.0898564i −0.647904 0.761722i \(-0.724354\pi\)
0.524227 + 0.851578i \(0.324354\pi\)
\(740\) −40.0809 3.11040i −1.47340 0.114341i
\(741\) −10.6884 7.76561i −0.392650 0.285277i
\(742\) 66.7106 30.4015i 2.44902 1.11608i
\(743\) 1.67808 1.67808i 0.0615626 0.0615626i −0.675655 0.737218i \(-0.736139\pi\)
0.737218 + 0.675655i \(0.236139\pi\)
\(744\) −0.653004 + 4.95974i −0.0239403 + 0.181833i
\(745\) −37.5991 5.57705i −1.37752 0.204327i
\(746\) 36.3410 24.0534i 1.33054 0.880659i
\(747\) 4.17938 2.12950i 0.152916 0.0779143i
\(748\) 10.5421 0.737121i 0.385459 0.0269518i
\(749\) 11.1996i 0.409225i
\(750\) 11.3376 11.0209i 0.413990 0.402425i
\(751\) 30.7328i 1.12145i 0.828001 + 0.560727i \(0.189478\pi\)
−0.828001 + 0.560727i \(0.810522\pi\)
\(752\) −7.82407 + 2.39197i −0.285315 + 0.0872260i
\(753\) 4.27796 2.17973i 0.155898 0.0794338i
\(754\) −2.44591 3.69539i −0.0890749 0.134578i
\(755\) 30.6354 + 4.54413i 1.11494 + 0.165378i
\(756\) 7.69774 4.62521i 0.279964 0.168217i
\(757\) −3.48566 + 3.48566i −0.126688 + 0.126688i −0.767608 0.640920i \(-0.778553\pi\)
0.640920 + 0.767608i \(0.278553\pi\)
\(758\) −10.6872 23.4511i −0.388176 0.851782i
\(759\) −7.56703 5.49777i −0.274666 0.199557i
\(760\) −28.1671 26.2090i −1.02173 0.950700i
\(761\) −23.6585 + 17.1889i −0.857620 + 0.623097i −0.927236 0.374477i \(-0.877822\pi\)
0.0696167 + 0.997574i \(0.477822\pi\)
\(762\) 1.94205 + 1.09876i 0.0703530 + 0.0398041i
\(763\) −17.1383 + 2.71445i −0.620450 + 0.0982696i
\(764\) −3.44405 2.99390i −0.124601 0.108315i
\(765\) −1.80822 5.38457i −0.0653764 0.194679i
\(766\) −39.3225 + 10.9050i −1.42078 + 0.394013i
\(767\) −4.77760 + 9.37658i −0.172509 + 0.338569i
\(768\) −1.94956 15.8808i −0.0703488 0.573048i
\(769\) −20.4125 + 6.63242i −0.736093 + 0.239171i −0.652986 0.757370i \(-0.726484\pi\)
−0.0831064 + 0.996541i \(0.526484\pi\)
\(770\) −26.7553 + 12.5119i −0.964193 + 0.450896i
\(771\) 28.6665 + 9.31430i 1.03240 + 0.335446i
\(772\) 4.46752 3.74866i 0.160790 0.134917i
\(773\) 15.1378 + 2.39759i 0.544468 + 0.0862353i 0.422609 0.906312i \(-0.361114\pi\)
0.121859 + 0.992547i \(0.461114\pi\)
\(774\) 6.57083 + 5.22670i 0.236184 + 0.187870i
\(775\) −8.84162 + 0.173741i −0.317600 + 0.00624096i
\(776\) −12.7790 + 26.7911i −0.458738 + 0.961744i
\(777\) 6.31429 39.8669i 0.226524 1.43022i
\(778\) −17.3751 3.53504i −0.622926 0.126737i
\(779\) −13.7167 + 42.2157i −0.491452 + 1.51254i
\(780\) 8.96904 3.72657i 0.321143 0.133433i
\(781\) 5.72991 + 17.6348i 0.205032 + 0.631024i
\(782\) −1.82857 16.0495i −0.0653895 0.573930i
\(783\) 1.28560 + 0.655047i 0.0459437 + 0.0234095i
\(784\) 9.14277 51.8479i 0.326528 1.85171i
\(785\) 3.39629 + 4.57930i 0.121219 + 0.163442i
\(786\) 13.5640 + 0.592255i 0.483812 + 0.0211250i
\(787\) −1.41565 8.93807i −0.0504625 0.318608i −0.999988 0.00491769i \(-0.998435\pi\)
0.949525 0.313690i \(-0.101565\pi\)
\(788\) 8.25477 3.33509i 0.294064 0.118808i
\(789\) 10.8899 + 14.9886i 0.387690 + 0.533610i
\(790\) 41.3743 11.9129i 1.47203 0.423842i
\(791\) 13.7649 18.9458i 0.489424 0.673635i
\(792\) −3.58160 4.66771i −0.127267 0.165860i
\(793\) 21.1486 + 21.1486i 0.751010 + 0.751010i
\(794\) −2.06480 0.772003i −0.0732770 0.0273974i
\(795\) −18.0739 + 18.4325i −0.641014 + 0.653734i
\(796\) −3.24936 + 37.1381i −0.115171 + 1.31632i
\(797\) −22.7616 44.6721i −0.806257 1.58237i −0.812909 0.582391i \(-0.802117\pi\)
0.00665213 0.999978i \(-0.497883\pi\)
\(798\) 28.4812 26.0981i 1.00822 0.923861i
\(799\) −5.19570 −0.183811
\(800\) 27.2390 7.61807i 0.963045 0.269339i
\(801\) −15.4379 −0.545471
\(802\) 33.6332 30.8190i 1.18763 1.08826i
\(803\) 0.926444 + 1.81825i 0.0326935 + 0.0641646i
\(804\) 1.21381 13.8731i 0.0428079 0.489265i
\(805\) 20.8906 + 40.0231i 0.736296 + 1.41063i
\(806\) −5.08815 1.90240i −0.179223 0.0670091i
\(807\) −17.3137 17.3137i −0.609472 0.609472i
\(808\) 19.5112 + 25.4279i 0.686402 + 0.894552i
\(809\) 6.38491 8.78807i 0.224481 0.308972i −0.681889 0.731455i \(-0.738841\pi\)
0.906371 + 0.422483i \(0.138841\pi\)
\(810\) −1.94416 + 2.49404i −0.0683110 + 0.0876316i
\(811\) 13.6381 + 18.7712i 0.478898 + 0.659147i 0.978293 0.207228i \(-0.0664442\pi\)
−0.499395 + 0.866375i \(0.666444\pi\)
\(812\) 12.0140 4.85391i 0.421610 0.170339i
\(813\) −1.90092 12.0019i −0.0666682 0.420926i
\(814\) −26.4190 1.15355i −0.925986 0.0404319i
\(815\) −0.455635 46.3787i −0.0159602 1.62458i
\(816\) 1.76452 10.0064i 0.0617705 0.350295i
\(817\) 32.1801 + 16.3966i 1.12584 + 0.573644i
\(818\) −3.59235 31.5304i −0.125604 1.10243i
\(819\) 3.01343 + 9.27438i 0.105298 + 0.324073i
\(820\) −21.2196 24.7901i −0.741021 0.865708i
\(821\) 6.43852 19.8157i 0.224706 0.691573i −0.773616 0.633655i \(-0.781554\pi\)
0.998321 0.0579181i \(-0.0184462\pi\)
\(822\) −10.8322 2.20386i −0.377815 0.0768683i
\(823\) 2.40540 15.1871i 0.0838469 0.529389i −0.909636 0.415407i \(-0.863639\pi\)
0.993483 0.113982i \(-0.0363607\pi\)
\(824\) −22.1208 + 46.3763i −0.770616 + 1.61560i
\(825\) 7.20844 7.49742i 0.250966 0.261027i
\(826\) −24.0811 19.1551i −0.837888 0.666490i
\(827\) −24.7345 3.91756i −0.860103 0.136227i −0.289224 0.957261i \(-0.593397\pi\)
−0.570879 + 0.821034i \(0.693397\pi\)
\(828\) −6.88914 + 5.78061i −0.239414 + 0.200890i
\(829\) 0.129955 + 0.0422250i 0.00451353 + 0.00146654i 0.311273 0.950321i \(-0.399245\pi\)
−0.306759 + 0.951787i \(0.599245\pi\)
\(830\) 1.82381 + 14.7205i 0.0633053 + 0.510957i
\(831\) 6.93936 2.25474i 0.240724 0.0782159i
\(832\) 17.2789 + 1.81637i 0.599038 + 0.0629713i
\(833\) 15.1788 29.7900i 0.525913 1.03216i
\(834\) −4.18543 + 1.16071i −0.144929 + 0.0401921i
\(835\) 31.4579 + 22.3867i 1.08865 + 0.774722i
\(836\) −19.1004 16.6039i −0.660600 0.574257i
\(837\) 1.74689 0.276680i 0.0603814 0.00956347i
\(838\) −29.6804 16.7925i −1.02529 0.580087i
\(839\) 22.1804 16.1150i 0.765752 0.556352i −0.134917 0.990857i \(-0.543077\pi\)
0.900669 + 0.434505i \(0.143077\pi\)
\(840\) 5.44906 + 27.8709i 0.188010 + 0.961637i
\(841\) −21.7772 15.8221i −0.750939 0.545589i
\(842\) −8.37581 18.3792i −0.288650 0.633388i
\(843\) 7.70146 7.70146i 0.265252 0.265252i
\(844\) −17.9808 + 10.8038i −0.618924 + 0.371882i
\(845\) −3.07711 18.2650i −0.105856 0.628334i
\(846\) 1.59653 + 2.41211i 0.0548899 + 0.0829301i
\(847\) 26.6977 13.6032i 0.917344 0.467410i
\(848\) −44.1619 + 13.5011i −1.51652 + 0.463630i
\(849\) 4.32656i 0.148487i
\(850\) 17.9568 + 0.430833i 0.615913 + 0.0147774i
\(851\) 40.4208i 1.38561i
\(852\) 17.7847 1.24353i 0.609294 0.0426027i
\(853\) 40.6991 20.7372i 1.39351 0.710029i 0.413785 0.910375i \(-0.364207\pi\)
0.979725 + 0.200346i \(0.0642067\pi\)
\(854\) −72.9246 + 48.2675i −2.49543 + 1.65168i
\(855\) −6.05620 + 12.1803i −0.207118 + 0.416558i
\(856\) 0.920887 6.99439i 0.0314753 0.239063i
\(857\) 7.89955 7.89955i 0.269844 0.269844i −0.559194 0.829037i \(-0.688889\pi\)
0.829037 + 0.559194i \(0.188889\pi\)
\(858\) 5.81353 2.64936i 0.198471 0.0904476i
\(859\) 10.1313 + 7.36085i 0.345677 + 0.251149i 0.747053 0.664764i \(-0.231468\pi\)
−0.401376 + 0.915913i \(0.631468\pi\)
\(860\) −22.6231 + 13.8974i −0.771440 + 0.473899i
\(861\) 26.5062 19.2579i 0.903329 0.656307i
\(862\) 19.0111 33.6019i 0.647522 1.14448i
\(863\) 7.46119 1.18174i 0.253982 0.0402268i −0.0281451 0.999604i \(-0.508960\pi\)
0.282127 + 0.959377i \(0.408960\pi\)
\(864\) −5.18771 + 2.25559i −0.176489 + 0.0767369i
\(865\) −16.2824 + 51.8394i −0.553617 + 1.76259i
\(866\) −11.8297 42.6568i −0.401988 1.44954i
\(867\) −4.78840 + 9.39776i −0.162623 + 0.319165i
\(868\) 8.41697 13.4698i 0.285691 0.457195i
\(869\) 26.9352 8.75179i 0.913715 0.296884i
\(870\) −3.33357 + 3.11543i −0.113019 + 0.105623i
\(871\) 14.3819 + 4.67297i 0.487313 + 0.158338i
\(872\) 10.9264 0.286029i 0.370016 0.00968617i
\(873\) 10.3652 + 1.64169i 0.350810 + 0.0555628i
\(874\) −24.0818 + 30.2748i −0.814580 + 1.02406i
\(875\) −47.2671 + 16.9135i −1.59792 + 0.571780i
\(876\) 1.91178 0.441358i 0.0645930 0.0149121i
\(877\) −0.531340 + 3.35475i −0.0179421 + 0.113282i −0.995034 0.0995361i \(-0.968264\pi\)
0.977092 + 0.212818i \(0.0682641\pi\)
\(878\) −7.29934 + 35.8769i −0.246341 + 1.21079i
\(879\) −5.10436 + 15.7096i −0.172166 + 0.529872i
\(880\) 17.7380 5.61396i 0.597948 0.189247i
\(881\) 3.43530 + 10.5728i 0.115738 + 0.356205i 0.992100 0.125448i \(-0.0400367\pi\)
−0.876362 + 0.481653i \(0.840037\pi\)
\(882\) −18.4942 + 2.10710i −0.622732 + 0.0709496i
\(883\) 38.6913 + 19.7142i 1.30206 + 0.663435i 0.960985 0.276599i \(-0.0892075\pi\)
0.341079 + 0.940034i \(0.389207\pi\)
\(884\) 10.1563 + 4.31117i 0.341594 + 0.145000i
\(885\) 10.3373 + 3.24686i 0.347483 + 0.109142i
\(886\) 1.31605 30.1406i 0.0442136 1.01259i
\(887\) 4.86134 + 30.6933i 0.163228 + 1.03058i 0.924232 + 0.381832i \(0.124707\pi\)
−0.761004 + 0.648747i \(0.775293\pi\)
\(888\) −7.22145 + 24.3785i −0.242336 + 0.818088i
\(889\) −4.16422 5.73156i −0.139664 0.192230i
\(890\) 16.6468 45.8930i 0.558003 1.53834i
\(891\) −1.22267 + 1.68286i −0.0409609 + 0.0563778i
\(892\) −31.6864 7.90049i −1.06094 0.264528i
\(893\) 8.79842 + 8.79842i 0.294428 + 0.294428i
\(894\) −8.41902 + 22.5175i −0.281574 + 0.753098i
\(895\) 25.5898 + 12.7236i 0.855373 + 0.425302i
\(896\) −15.2771 + 48.4494i −0.510371 + 1.61858i
\(897\) −4.43341 8.70105i −0.148027 0.290520i
\(898\) 4.57034 + 4.98768i 0.152514 + 0.166441i
\(899\) 2.55195 0.0851122
\(900\) −5.31774 8.46886i −0.177258 0.282295i
\(901\) −29.3264 −0.977004
\(902\) −14.5014 15.8256i −0.482843 0.526934i
\(903\) −12.1025 23.7525i −0.402746 0.790433i
\(904\) −10.1543 + 10.7002i −0.337727 + 0.355884i
\(905\) −22.9497 + 3.86635i −0.762874 + 0.128522i
\(906\) 6.85975 18.3471i 0.227900 0.609541i
\(907\) −15.6082 15.6082i −0.518261 0.518261i 0.398784 0.917045i \(-0.369432\pi\)
−0.917045 + 0.398784i \(0.869432\pi\)
\(908\) 4.87327 19.5451i 0.161725 0.648628i
\(909\) 6.66063 9.16757i 0.220919 0.304069i
\(910\) −30.8198 1.04248i −1.02167 0.0345578i
\(911\) 10.5675 + 14.5449i 0.350117 + 0.481895i 0.947362 0.320164i \(-0.103738\pi\)
−0.597245 + 0.802059i \(0.703738\pi\)
\(912\) −19.9330 + 13.9569i −0.660047 + 0.462159i
\(913\) 1.52634 + 9.63696i 0.0505146 + 0.318937i
\(914\) 0.419335 9.60375i 0.0138704 0.317664i
\(915\) 17.8548 25.0897i 0.590262 0.829440i
\(916\) −12.0405 + 28.3652i −0.397830 + 0.937214i
\(917\) −38.4091 19.5704i −1.26838 0.646272i
\(918\) −3.56930 + 0.406661i −0.117805 + 0.0134218i
\(919\) −6.00600 18.4846i −0.198120 0.609749i −0.999926 0.0121655i \(-0.996127\pi\)
0.801806 0.597584i \(-0.203873\pi\)
\(920\) −9.75569 26.7130i −0.321635 0.880701i
\(921\) −3.41290 + 10.5038i −0.112459 + 0.346113i
\(922\) −0.252925 + 1.24315i −0.00832964 + 0.0409409i
\(923\) −3.02845 + 19.1209i −0.0996827 + 0.629372i
\(924\) 4.20207 + 18.2016i 0.138238 + 0.598790i
\(925\) −44.5227 6.15765i −1.46390 0.202462i
\(926\) 26.5093 33.3266i 0.871150 1.09518i
\(927\) 17.9426 + 2.84182i 0.589311 + 0.0933377i
\(928\) −7.90213 + 2.04351i −0.259400 + 0.0670816i
\(929\) 31.4701 + 10.2253i 1.03250 + 0.335480i 0.775779 0.631005i \(-0.217357\pi\)
0.256723 + 0.966485i \(0.417357\pi\)
\(930\) −1.06119 + 5.49142i −0.0347977 + 0.180071i
\(931\) −76.1504 + 24.7427i −2.49573 + 0.810911i
\(932\) 10.7590 + 6.72308i 0.352424 + 0.220222i
\(933\) −2.09051 + 4.10285i −0.0684401 + 0.134321i
\(934\) −6.42285 23.1603i −0.210162 0.757827i
\(935\) 11.8147 0.116070i 0.386382 0.00379590i
\(936\) −1.11936 6.03982i −0.0365875 0.197418i
\(937\) −4.63859 + 0.734681i −0.151536 + 0.0240010i −0.231742 0.972777i \(-0.574442\pi\)
0.0802054 + 0.996778i \(0.474442\pi\)
\(938\) −21.7731 + 38.4836i −0.710918 + 1.25654i
\(939\) −11.3748 + 8.26425i −0.371202 + 0.269694i
\(940\) −8.89216 + 2.14509i −0.290030 + 0.0699651i
\(941\) −30.0646 21.8432i −0.980077 0.712068i −0.0223514 0.999750i \(-0.507115\pi\)
−0.957726 + 0.287682i \(0.907115\pi\)
\(942\) 3.28116 1.49530i 0.106906 0.0487194i
\(943\) −23.1999 + 23.1999i −0.755494 + 0.755494i
\(944\) 13.4641 + 13.9428i 0.438219 + 0.453799i
\(945\) 8.90086 4.64592i 0.289545 0.151132i
\(946\) −14.5638 + 9.63948i −0.473509 + 0.313407i
\(947\) −28.1072 + 14.3213i −0.913361 + 0.465381i −0.846504 0.532382i \(-0.821297\pi\)
−0.0668570 + 0.997763i \(0.521297\pi\)
\(948\) −1.89935 27.1642i −0.0616881 0.882251i
\(949\) 2.13057i 0.0691611i
\(950\) −29.6786 31.1377i −0.962899 1.01024i
\(951\) 4.55582i 0.147733i
\(952\) −18.2732 + 26.5871i −0.592236 + 0.861694i
\(953\) −23.5416 + 11.9951i −0.762588 + 0.388558i −0.791615 0.611020i \(-0.790759\pi\)
0.0290264 + 0.999579i \(0.490759\pi\)
\(954\) 9.01140 + 13.6148i 0.291755 + 0.440796i
\(955\) −3.64298 3.57209i −0.117884 0.115590i
\(956\) 0.994270 + 1.65476i 0.0321570 + 0.0535189i
\(957\) −2.12227 + 2.12227i −0.0686032 + 0.0686032i
\(958\) −12.4720 27.3676i −0.402953 0.884206i
\(959\) 28.3943 + 20.6297i 0.916900 + 0.666167i
\(960\) −1.11137 17.8540i −0.0358693 0.576235i
\(961\) −22.5488 + 16.3826i −0.727380 + 0.528472i
\(962\) −24.0297 13.5955i −0.774750 0.438335i
\(963\) −2.46352 + 0.390184i −0.0793859 + 0.0125735i
\(964\) 30.8942 35.5393i 0.995034 1.14464i
\(965\) 5.23711 3.88416i 0.168589 0.125035i
\(966\) 27.5151 7.63053i 0.885284 0.245508i
\(967\) −2.30501 + 4.52383i −0.0741240 + 0.145477i −0.925095 0.379737i \(-0.876015\pi\)
0.850971 + 0.525213i \(0.176015\pi\)
\(968\) −17.7918 + 6.30024i −0.571849 + 0.202497i
\(969\) −14.6967 + 4.77525i −0.472126 + 0.153403i
\(970\) −16.0573 + 29.0430i −0.515568 + 0.932514i
\(971\) −30.8515 10.0243i −0.990072 0.321694i −0.231181 0.972911i \(-0.574259\pi\)
−0.758892 + 0.651217i \(0.774259\pi\)
\(972\) 1.28557 + 1.53210i 0.0412346 + 0.0491420i
\(973\) 13.6207 + 2.15731i 0.436660 + 0.0691602i
\(974\) 5.19477 + 4.13213i 0.166451 + 0.132402i
\(975\) 10.2594 3.55781i 0.328564 0.113941i
\(976\) 49.5117 24.1478i 1.58483 0.772952i
\(977\) 0.473153 2.98737i 0.0151375 0.0955745i −0.978963 0.204038i \(-0.934593\pi\)
0.994100 + 0.108464i \(0.0345932\pi\)
\(978\) −28.7450 5.84832i −0.919164 0.187009i
\(979\) 9.92338 30.5410i 0.317152 0.976095i
\(980\) 13.6786 57.2507i 0.436947 1.82881i
\(981\) −1.19417 3.67527i −0.0381268 0.117342i
\(982\) 3.29192 + 28.8935i 0.105049 + 0.922028i
\(983\) −6.89254 3.51193i −0.219838 0.112013i 0.340604 0.940207i \(-0.389369\pi\)
−0.560442 + 0.828194i \(0.689369\pi\)
\(984\) −18.1371 + 9.84747i −0.578191 + 0.313926i
\(985\) 9.43604 3.16877i 0.300657 0.100965i
\(986\) −5.17841 0.226108i −0.164914 0.00720076i
\(987\) −1.43673 9.07113i −0.0457315 0.288737i
\(988\) −9.89820 24.4993i −0.314904 0.779427i
\(989\) 15.6913 + 21.5972i 0.498955 + 0.686752i
\(990\) −3.68430 5.44932i −0.117095 0.173191i
\(991\) 28.7622 39.5878i 0.913661 1.25755i −0.0522398 0.998635i \(-0.516636\pi\)
0.965901 0.258912i \(-0.0833640\pi\)
\(992\) −6.36412 + 7.72008i −0.202061 + 0.245113i
\(993\) 17.9481 + 17.9481i 0.569566 + 0.569566i
\(994\) −53.0206 19.8238i −1.68171 0.628771i
\(995\) −6.11550 + 41.2292i −0.193874 + 1.30705i
\(996\) 9.34555 + 0.817681i 0.296125 + 0.0259092i
\(997\) −5.99814 11.7720i −0.189963 0.372824i 0.776307 0.630355i \(-0.217091\pi\)
−0.966270 + 0.257532i \(0.917091\pi\)
\(998\) 24.3956 22.3543i 0.772229 0.707614i
\(999\) 8.98930 0.284409
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 300.2.w.a.223.22 yes 240
3.2 odd 2 900.2.bj.f.523.9 240
4.3 odd 2 inner 300.2.w.a.223.10 yes 240
12.11 even 2 900.2.bj.f.523.21 240
25.12 odd 20 inner 300.2.w.a.187.10 240
75.62 even 20 900.2.bj.f.487.21 240
100.87 even 20 inner 300.2.w.a.187.22 yes 240
300.287 odd 20 900.2.bj.f.487.9 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
300.2.w.a.187.10 240 25.12 odd 20 inner
300.2.w.a.187.22 yes 240 100.87 even 20 inner
300.2.w.a.223.10 yes 240 4.3 odd 2 inner
300.2.w.a.223.22 yes 240 1.1 even 1 trivial
900.2.bj.f.487.9 240 300.287 odd 20
900.2.bj.f.487.21 240 75.62 even 20
900.2.bj.f.523.9 240 3.2 odd 2
900.2.bj.f.523.21 240 12.11 even 2