LMFDB - Embedded newform 360.2.bm.a.11.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [360,2,Mod(11,360)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(360, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 1, 0]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("360.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 360 = 2^{3} \cdot 3^{2} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	360.bm (of order $6$, degree $2$, 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:	$2.87461447277$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$24$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			11.13
Character	$\chi$	$=$	360.11
Dual form			360.2.bm.a.131.13

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.102357 - 1.41050i) q^{2} +(1.72054 - 0.199393i) q^{3} +(-1.97905 - 0.288749i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-0.105136 - 2.44723i) q^{6} +(-3.97204 - 2.29326i) q^{7} +(-0.609850 + 2.76190i) q^{8} +(2.92049 - 0.686124i) q^{9} +O(q^{10})$	\(q+(0.102357 - 1.41050i) q^{2} +(1.72054 - 0.199393i) q^{3} +(-1.97905 - 0.288749i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-0.105136 - 2.44723i) q^{6} +(-3.97204 - 2.29326i) q^{7} +(-0.609850 + 2.76190i) q^{8} +(2.92049 - 0.686124i) q^{9} +(-1.27271 + 0.616609i) q^{10} +(-4.08838 - 2.36043i) q^{11} +(-3.46259 - 0.102196i) q^{12} +(1.87107 - 1.08026i) q^{13} +(-3.64121 + 5.36784i) q^{14} +(-1.03295 - 1.39033i) q^{15} +(3.83325 + 1.14290i) q^{16} -1.23675i q^{17} +(-0.668850 - 4.18959i) q^{18} +4.35920 q^{19} +(0.739459 + 1.85828i) q^{20} +(-7.29129 - 3.15363i) q^{21} +(-3.74786 + 5.52507i) q^{22} +(0.117833 + 0.204092i) q^{23} +(-0.498567 + 4.87354i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(-1.33220 - 2.74973i) q^{26} +(4.88799 - 1.76282i) q^{27} +(7.19867 + 5.68538i) q^{28} +(2.84210 - 4.92266i) q^{29} +(-2.06680 + 1.31467i) q^{30} +(4.06804 - 2.34868i) q^{31} +(2.00442 - 5.28983i) q^{32} +(-7.50485 - 3.24600i) q^{33} +(-1.74445 - 0.126590i) q^{34} +4.58651i q^{35} +(-5.97789 + 0.514584i) q^{36} +9.91926i q^{37} +(0.446193 - 6.14867i) q^{38} +(3.00385 - 2.23171i) q^{39} +(2.69680 - 0.852803i) q^{40} +(6.34052 - 3.66070i) q^{41} +(-5.19453 + 9.96160i) q^{42} +(-2.62545 + 4.54741i) q^{43} +(7.40952 + 5.85191i) q^{44} +(-2.05444 - 2.18615i) q^{45} +(0.299934 - 0.145313i) q^{46} +(1.05958 - 1.83524i) q^{47} +(6.82312 + 1.20207i) q^{48} +(7.01804 + 12.1556i) q^{49} +(1.17035 + 0.793896i) q^{50} +(-0.246600 - 2.12788i) q^{51} +(-4.01486 + 1.59762i) q^{52} -7.92028 q^{53} +(-1.98615 - 7.07497i) q^{54} +4.72085i q^{55} +(8.75609 - 9.57181i) q^{56} +(7.50016 - 0.869192i) q^{57} +(-6.65252 - 4.51266i) q^{58} +(-10.1979 + 5.88778i) q^{59} +(1.64279 + 3.04979i) q^{60} +(6.27586 + 3.62337i) q^{61} +(-2.89644 - 5.97839i) q^{62} +(-13.1737 - 3.97211i) q^{63} +(-7.25617 - 3.36869i) q^{64} +(-1.87107 - 1.08026i) q^{65} +(-5.34668 + 10.2534i) q^{66} +(-7.51856 - 13.0225i) q^{67} +(-0.357112 + 2.44759i) q^{68} +(0.243430 + 0.327653i) q^{69} +(6.46930 + 0.469460i) q^{70} +0.851441 q^{71} +(0.113946 + 8.48452i) q^{72} +10.6769 q^{73} +(13.9912 + 1.01530i) q^{74} +(-0.687589 + 1.58972i) q^{75} +(-8.62706 - 1.25871i) q^{76} +(10.8261 + 18.7514i) q^{77} +(-2.84037 - 4.46537i) q^{78} +(10.0179 + 5.78381i) q^{79} +(-0.926848 - 3.89114i) q^{80} +(8.05847 - 4.00763i) q^{81} +(-4.51444 - 9.31802i) q^{82} +(-2.35035 - 1.35698i) q^{83} +(13.5192 + 8.34654i) q^{84} +(-1.07106 + 0.618377i) q^{85} +(6.14541 + 4.16866i) q^{86} +(3.90839 - 9.03630i) q^{87} +(9.01256 - 9.85218i) q^{88} -12.9321i q^{89} +(-3.29386 + 2.67403i) q^{90} -9.90928 q^{91} +(-0.174265 - 0.437932i) q^{92} +(6.53089 - 4.85213i) q^{93} +(-2.48016 - 1.68239i) q^{94} +(-2.17960 - 3.77518i) q^{95} +(2.39392 - 9.50101i) q^{96} +(-0.816409 + 1.41406i) q^{97} +(17.8639 - 8.65477i) q^{98} +(-13.5596 - 4.08846i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q - 24 q^{5} + 7 q^{6} - 6 q^{8}+O(q^{10}) $ 48 * q - 24 * q^5 + 7 * q^6 - 6 * q^8	$ 48 q - 24 q^{5} + 7 q^{6} - 6 q^{8} - 15 q^{12} + 15 q^{14} + 12 q^{16} - 11 q^{18} - 4 q^{21} + 21 q^{22} - 24 q^{24} - 24 q^{25} + 12 q^{27} - 14 q^{30} - 8 q^{33} + 33 q^{34} - 23 q^{36} - 33 q^{38} + 16 q^{39} - 6 q^{40} + 12 q^{41} - 53 q^{42} - 24 q^{44} - 6 q^{46} + 12 q^{47} + 45 q^{48} + 24 q^{49} - 20 q^{51} - 36 q^{52} - 36 q^{54} + 21 q^{56} + 4 q^{57} - 51 q^{58} - 36 q^{59} + 15 q^{60} + 12 q^{61} + 42 q^{62} + 56 q^{63} - 12 q^{64} + 24 q^{66} + 57 q^{68} - 40 q^{69} - 15 q^{70} + 46 q^{72} + 30 q^{74} + 57 q^{76} + 78 q^{78} - 8 q^{81} - 18 q^{82} - 60 q^{83} - 31 q^{84} + 27 q^{86} + 36 q^{87} + 57 q^{88} + 4 q^{90} - 51 q^{92} + 57 q^{94} - 119 q^{96} + 42 q^{98} - 16 q^{99}+O(q^{100}) $ 48 * q - 24 * q^5 + 7 * q^6 - 6 * q^8 - 15 * q^12 + 15 * q^14 + 12 * q^16 - 11 * q^18 - 4 * q^21 + 21 * q^22 - 24 * q^24 - 24 * q^25 + 12 * q^27 - 14 * q^30 - 8 * q^33 + 33 * q^34 - 23 * q^36 - 33 * q^38 + 16 * q^39 - 6 * q^40 + 12 * q^41 - 53 * q^42 - 24 * q^44 - 6 * q^46 + 12 * q^47 + 45 * q^48 + 24 * q^49 - 20 * q^51 - 36 * q^52 - 36 * q^54 + 21 * q^56 + 4 * q^57 - 51 * q^58 - 36 * q^59 + 15 * q^60 + 12 * q^61 + 42 * q^62 + 56 * q^63 - 12 * q^64 + 24 * q^66 + 57 * q^68 - 40 * q^69 - 15 * q^70 + 46 * q^72 + 30 * q^74 + 57 * q^76 + 78 * q^78 - 8 * q^81 - 18 * q^82 - 60 * q^83 - 31 * q^84 + 27 * q^86 + 36 * q^87 + 57 * q^88 + 4 * q^90 - 51 * q^92 + 57 * q^94 - 119 * q^96 + 42 * q^98 - 16 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/360\mathbb{Z}\right)^\times$.

$n$	$181$	$217$	$271$	$281$
$\chi(n)$	$-1$	$1$	$-1$	$e\left(\frac{1}{6}\right)$

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 $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.102357	−	1.41050i	0.0723771	−	0.997377i
$2$	0.102357	−	1.41050i	0.0723771	−	0.997377i
$3$	1.72054	−	0.199393i	0.993352	−	0.115119i
$3$	1.72054	−	0.199393i	0.993352	−	0.115119i
$4$	−1.97905	−	0.288749i	−0.989523	−	0.144375i
$5$	−0.500000	−	0.866025i	−0.223607	−	0.387298i
$5$	−0.500000	−	0.866025i	−0.223607	−	0.387298i
$6$	−0.105136	−	2.44723i	−0.0429215	−	0.999078i
$7$	−3.97204	−	2.29326i	−1.50129	−	0.866769i	−0.999999	−	0.00148944i	$-0.999526\pi$
$7$	−3.97204	−	2.29326i	−1.50129	−	0.866769i	−0.501289	−	0.865280i	$-0.667141\pi$
$8$	−0.609850	+	2.76190i	−0.215615	+	0.976479i
$9$	2.92049	−	0.686124i	0.973495	−	0.228708i
$10$	−1.27271	+	0.616609i	−0.402467	+	0.194989i
$11$	−4.08838	−	2.36043i	−1.23269	−	0.711695i	−0.265102	−	0.964220i	$-0.585406\pi$
$11$	−4.08838	−	2.36043i	−1.23269	−	0.711695i	−0.967590	+	0.252525i	$0.918739\pi$
$12$	−3.46259	−	0.102196i	−0.999565	−	0.0295014i
$13$	1.87107	−	1.08026i	0.518942	−	0.299611i	−0.217560	−	0.976047i	$-0.569810\pi$
$13$	1.87107	−	1.08026i	0.518942	−	0.299611i	0.736501	+	0.676436i	$0.236476\pi$
$14$	−3.64121	+	5.36784i	−0.973155	+	1.43462i
$15$	−1.03295	−	1.39033i	−0.266706	−	0.358982i
$16$	3.83325	+	1.14290i	0.958312	+	0.285724i
$17$		−	1.23675i		−	0.299957i	−0.988689	−	0.149978i	$-0.952080\pi$
$17$		−	1.23675i		−	0.299957i	0.988689	−	0.149978i	$-0.0479204\pi$
$18$	−0.668850	−	4.18959i	−0.157649	−	0.987495i
$19$	4.35920			1.00007			0.500034	−	0.866005i	$-0.333321\pi$
$19$	4.35920			1.00007			0.500034	+	0.866005i	$0.333321\pi$
$20$	0.739459	+	1.85828i	0.165348	+	0.415524i
$21$	−7.29129	−	3.15363i	−1.59109	−	0.688179i
$22$	−3.74786	+	5.52507i	−0.799047	+	1.17795i
$23$	0.117833	+	0.204092i	0.0245698	+	0.0425562i	0.878049	−	0.478571i	$-0.158845\pi$
$23$	0.117833	+	0.204092i	0.0245698	+	0.0425562i	−0.853479	+	0.521127i	$0.825512\pi$
$24$	−0.498567	+	4.87354i	−0.101770	+	0.994808i
$25$	−0.500000	+	0.866025i	−0.100000	+	0.173205i
$26$	−1.33220	−	2.74973i	−0.261266	−	0.539265i
$27$	4.88799	−	1.76282i	0.940694	−	0.339256i
$28$	7.19867	+	5.68538i	1.36042	+	1.07444i
$29$	2.84210	−	4.92266i	0.527764	−	0.914114i	−0.471712	−	0.881753i	$-0.656364\pi$
$29$	2.84210	−	4.92266i	0.527764	−	0.914114i	0.999476	−	0.0323617i	$-0.0103028\pi$
$30$	−2.06680	+	1.31467i	−0.377344	+	0.240024i
$31$	4.06804	−	2.34868i	0.730641	−	0.421836i	−0.0880155	−	0.996119i	$-0.528053\pi$
$31$	4.06804	−	2.34868i	0.730641	−	0.421836i	0.818657	+	0.574283i	$0.194719\pi$
$32$	2.00442	−	5.28983i	0.354334	−	0.935119i
$33$	−7.50485	−	3.24600i	−1.30643	−	0.565057i
$34$	−1.74445	−	0.126590i	−0.299170	−	0.0217100i
$35$			4.58651i			0.775262i
$36$	−5.97789	+	0.514584i	−0.996315	+	0.0857640i
$37$			9.91926i			1.63072i	0.578957	+	0.815358i	$0.303460\pi$
$37$			9.91926i			1.63072i	−0.578957	+	0.815358i	$0.696540\pi$
$38$	0.446193	−	6.14867i	0.0723821	−	0.997446i
$39$	3.00385	−	2.23171i	0.481000	−	0.357359i
$40$	2.69680	−	0.852803i	0.426401	−	0.134840i
$41$	6.34052	−	3.66070i	0.990222	−	0.571705i	0.0848815	−	0.996391i	$-0.472949\pi$
$41$	6.34052	−	3.66070i	0.990222	−	0.571705i	0.905341	+	0.424686i	$0.139616\pi$
$42$	−5.19453	+	9.96160i	−0.801533	+	1.53711i
$43$	−2.62545	+	4.54741i	−0.400377	+	0.693473i	−0.993771	−	0.111439i	$-0.964454\pi$
$43$	−2.62545	+	4.54741i	−0.400377	+	0.693473i	0.593394	+	0.804912i	$0.297788\pi$
$44$	7.40952	+	5.85191i	1.11703	+	0.882208i
$45$	−2.05444	−	2.18615i	−0.306258	−	0.325892i
$46$	0.299934	−	0.145313i	0.0442229	−	0.0214253i
$47$	1.05958	−	1.83524i	0.154555	−	0.267698i	−0.778342	−	0.627841i	$-0.783939\pi$
$47$	1.05958	−	1.83524i	0.154555	−	0.267698i	0.932897	+	0.360143i	$0.117272\pi$
$48$	6.82312	+	1.20207i	0.984833	+	0.173504i
$49$	7.01804	+	12.1556i	1.00258	+	1.73652i
$50$	1.17035	+	0.793896i	0.165513	+	0.112274i
$51$	−0.246600	−	2.12788i	−0.0345308	−	0.297963i
$52$	−4.01486	+	1.59762i	−0.556761	+	0.221550i
$53$	−7.92028			−1.08793			−0.543967	−	0.839107i	$-0.683078\pi$
$53$	−7.92028			−1.08793			−0.543967	+	0.839107i	$0.683078\pi$
$54$	−1.98615	−	7.07497i	−0.270281	−	0.962781i
$55$			4.72085i			0.636560i
$56$	8.75609	−	9.57181i	1.17008	−	1.27909i
$57$	7.50016	−	0.869192i	0.993420	−	0.115127i
$58$	−6.65252	−	4.51266i	−0.873519	−	0.592541i
$59$	−10.1979	+	5.88778i	−1.32766	+	0.766524i	−0.984937	−	0.172913i	$-0.944682\pi$
$59$	−10.1979	+	5.88778i	−1.32766	+	0.766524i	−0.342722	+	0.939437i	$0.611349\pi$
$60$	1.64279	+	3.04979i	0.212084	+	0.393726i
$61$	6.27586	+	3.62337i	0.803541	+	0.463925i	0.844708	−	0.535228i	$-0.179774\pi$
$61$	6.27586	+	3.62337i	0.803541	+	0.463925i	−0.0411667	+	0.999152i	$0.513107\pi$
$62$	−2.89644	−	5.97839i	−0.367848	−	0.759256i
$63$	−13.1737	−	3.97211i	−1.65973	−	0.500439i
$64$	−7.25617	−	3.36869i	−0.907021	−	0.421086i
$65$	−1.87107	−	1.08026i	−0.232078	−	0.133990i
$66$	−5.34668	+	10.2534i	−0.658130	+	1.26210i
$67$	−7.51856	−	13.0225i	−0.918538	−	1.59095i	−0.801637	−	0.597811i	$-0.796038\pi$
$67$	−7.51856	−	13.0225i	−0.918538	−	1.59095i	−0.116900	−	0.993144i	$-0.537296\pi$
$68$	−0.357112	+	2.44759i	−0.0433061	+	0.296814i
$69$	0.243430	+	0.327653i	0.0293055	+	0.0394448i
$70$	6.46930	+	0.469460i	0.773229	+	0.0561112i
$71$	0.851441			0.101047			0.0505237	−	0.998723i	$-0.483911\pi$
$71$	0.851441			0.101047			0.0505237	+	0.998723i	$0.483911\pi$
$72$	0.113946	+	8.48452i	0.0134286	+	0.999910i
$73$	10.6769			1.24964			0.624819	−	0.780770i	$-0.285173\pi$
$73$	10.6769			1.24964			0.624819	+	0.780770i	$0.285173\pi$
$74$	13.9912	+	1.01530i	1.62644	+	0.118026i
$75$	−0.687589	+	1.58972i	−0.0793959	+	0.183565i
$76$	−8.62706	−	1.25871i	−0.989591	−	0.144384i
$77$	10.8261	+	18.7514i	1.23375	+	2.13692i
$78$	−2.84037	−	4.46537i	−0.321609	−	0.505604i
$79$	10.0179	+	5.78381i	1.12710	+	0.650730i	0.943203	−	0.332217i	$-0.107796\pi$
$79$	10.0179	+	5.78381i	1.12710	+	0.650730i	0.183894	+	0.982946i	$0.441130\pi$
$80$	−0.926848	−	3.89114i	−0.103625	−	0.435042i
$81$	8.05847	−	4.00763i	0.895385	−	0.445292i
$82$	−4.51444	−	9.31802i	−0.498536	−	1.02900i
$83$	−2.35035	−	1.35698i	−0.257985	−	0.148948i	0.365430	−	0.930839i	$-0.380922\pi$
$83$	−2.35035	−	1.35698i	−0.257985	−	0.148948i	−0.623415	+	0.781891i	$0.714255\pi$
$84$	13.5192	+	8.34654i	1.47506	+	0.910682i
$85$	−1.07106	+	0.618377i	−0.116173	+	0.0670724i
$86$	6.14541	+	4.16866i	0.662677	+	0.449519i
$87$	3.90839	−	9.03630i	0.419023	−	0.968793i
$88$	9.01256	−	9.85218i	0.960742	−	1.05025i
$89$		−	12.9321i		−	1.37080i	−0.728166	−	0.685401i	$-0.759627\pi$
$89$		−	12.9321i		−	1.37080i	0.728166	−	0.685401i	$-0.240373\pi$
$90$	−3.29386	+	2.67403i	−0.347204	+	0.281868i
$91$	−9.90928			−1.03877
$92$	−0.174265	−	0.437932i	−0.0181684	−	0.0456576i
$93$	6.53089	−	4.85213i	0.677222	−	0.503142i
$94$	−2.48016	−	1.68239i	−0.255809	−	0.173525i
$95$	−2.17960	−	3.77518i	−0.223622	−	0.387325i
$96$	2.39392	−	9.50101i	0.244328	−	0.969693i
$97$	−0.816409	+	1.41406i	−0.0828938	+	0.143576i	−0.904492	−	0.426491i	$-0.859750\pi$
$97$	−0.816409	+	1.41406i	−0.0828938	+	0.143576i	0.821598	+	0.570067i	$0.193083\pi$
$98$	17.8639	−	8.65477i	1.80452	−	0.874264i
$99$	−13.5596	−	4.08846i	−1.36279	−	0.410905i
$100$	1.23959	−	1.56953i	0.123959	−	0.156953i
$101$	1.28871	−	2.23211i	0.128231	−	0.222103i	−0.794760	−	0.606924i	$-0.792403\pi$
$101$	1.28871	−	2.23211i	0.128231	−	0.222103i	0.922991	+	0.384820i	$0.125737\pi$
$102$	−3.02662	+	0.130027i	−0.299681	+	0.0128746i
$103$	8.62567	−	4.98003i	0.849913	−	0.490697i	−0.0107087	−	0.999943i	$-0.503409\pi$
$103$	8.62567	−	4.98003i	0.849913	−	0.490697i	0.860621	+	0.509245i	$0.170075\pi$
$104$	1.84250	+	5.82650i	0.180672	+	0.571336i
$105$	0.914516	+	7.89126i	0.0892476	+	0.770108i
$106$	−0.810693	+	11.1716i	−0.0787415	+	1.08508i
$107$		−	7.28403i		−	0.704173i	−0.935967	−	0.352087i	$-0.885472\pi$
$107$		−	7.28403i		−	0.704173i	0.935967	−	0.352087i	$-0.114528\pi$
$108$	−10.1826	+	2.07731i	−0.979819	+	0.199889i
$109$			2.56505i			0.245687i	0.992426	+	0.122844i	$0.0392014\pi$
$109$			2.56505i			0.245687i	−0.992426	+	0.122844i	$0.960799\pi$
$110$	6.65878	+	0.483211i	0.634890	+	0.0460723i
$111$	1.97783	+	17.0664i	0.187727	+	1.61987i
$112$	−12.6048	−	13.3302i	−1.19105	−	1.25959i
$113$	0.311444	−	0.179812i	0.0292981	−	0.0169153i	−0.485279	−	0.874359i	$-0.661282\pi$
$113$	0.311444	−	0.179812i	0.0292981	−	0.0169153i	0.514578	+	0.857444i	$0.327949\pi$
$114$	−0.458308	−	10.6680i	−0.0429245	−	0.999147i
$115$	0.117833	−	0.204092i	0.0109880	−	0.0190317i
$116$	−7.04605	+	8.92151i	−0.654210	+	0.828342i
$117$	4.72324	−	4.43868i	0.436664	−	0.410356i
$118$	7.26092	+	14.9869i	0.668422	+	1.37966i
$119$	−2.83619	+	4.91243i	−0.259993	+	0.450322i
$120$	4.46990	−	2.00500i	0.408044	−	0.183031i
$121$	5.64322	+	9.77435i	0.513020	+	0.888577i
$122$	5.75315	−	8.48125i	0.520866	−	0.767856i
$123$	10.1792	−	7.56261i	0.917825	−	0.681898i
$124$	−8.72901	+	3.47351i	−0.783889	+	0.311930i
$125$	1.00000			0.0894427
$126$	−6.95110	+	18.1750i	−0.619253	+	1.61916i
$127$		−	9.02927i		−	0.801218i	−0.916249	−	0.400609i	$-0.868799\pi$
$127$		−	9.02927i		−	0.801218i	0.916249	−	0.400609i	$-0.131201\pi$
$128$	−5.49427	+	9.89005i	−0.485629	+	0.874165i
$129$	−3.61046	+	8.34747i	−0.317883	+	0.734954i
$130$	−1.71523	+	2.52858i	−0.150436	+	0.221771i
$131$	−0.986098	+	0.569324i	−0.0861558	+	0.0497421i	−0.542459	−	0.840082i	$-0.682507\pi$
$131$	−0.986098	+	0.569324i	−0.0861558	+	0.0497421i	0.456303	+	0.889824i	$0.349173\pi$
$132$	13.9152	+	8.59101i	1.21116	+	0.747752i
$133$	−17.3149	−	9.99676i	−1.50139	−	0.866829i
$134$	−19.1379	+	9.27202i	−1.65326	+	0.800980i
$135$	−3.97065	−	3.35171i	−0.341739	−	0.288469i
$136$	3.41579	+	0.754235i	0.292902	+	0.0646751i
$137$	−3.39260	−	1.95872i	−0.289850	−	0.167345i	0.348024	−	0.937485i	$-0.386853\pi$
$137$	−3.39260	−	1.95872i	−0.289850	−	0.167345i	−0.637874	+	0.770141i	$0.720186\pi$
$138$	0.487073	−	0.309822i	0.0414624	−	0.0263738i
$139$	5.70435	+	9.88022i	0.483836	+	0.838029i	0.999828	−	0.0185646i	$-0.00590963\pi$
$139$	5.70435	+	9.88022i	0.483836	+	0.838029i	−0.515991	+	0.856594i	$0.672576\pi$
$140$	1.32435	−	9.07692i	0.111928	−	0.767140i
$141$	1.45711	−	3.36887i	0.122711	−	0.283710i
$142$	0.0871506	−	1.20096i	0.00731352	−	0.100782i
$143$	−10.1995			−0.852927
$144$	11.9791	+	0.707726i	0.998259	+	0.0589771i
$145$	−5.68419			−0.472047
$146$	1.09285	−	15.0598i	0.0904451	−	1.24636i
$147$	14.4985	+	19.5148i	1.19582	+	1.60955i
$148$	2.86418	−	19.6307i	0.235434	−	1.61363i
$149$	9.86802	+	17.0919i	0.808420	+	1.40022i	0.913958	+	0.405809i	$0.133010\pi$
$149$	9.86802	+	17.0919i	0.808420	+	1.40022i	−0.105538	+	0.994415i	$0.533656\pi$
$150$	2.17193	+	1.13257i	0.177338	+	0.0924736i
$151$	5.32377	+	3.07368i	0.433243	+	0.250133i	0.700727	−	0.713429i	$-0.252859\pi$
$151$	5.32377	+	3.07368i	0.433243	+	0.250133i	−0.267484	+	0.963562i	$0.586192\pi$
$152$	−2.65846	+	12.0397i	−0.215630	+	0.976546i
$153$	−0.848567	−	3.61192i	−0.0686025	−	0.292007i
$154$	27.5570	−	13.3510i	2.22061	−	1.07585i
$155$	−4.06804	−	2.34868i	−0.326753	−	0.188651i
$156$	−6.58915	+	3.54930i	−0.527555	+	0.284171i
$157$	0.339511	−	0.196017i	0.0270959	−	0.0156438i	−0.486391	−	0.873741i	$-0.661687\pi$
$157$	0.339511	−	0.196017i	0.0270959	−	0.0156438i	0.513487	+	0.858098i	$0.328354\pi$
$158$	9.18349	−	13.5382i	0.730599	−	1.07704i
$159$	−13.6271	+	1.57924i	−1.08070	+	0.125242i
$160$	−5.58334	+	0.909039i	−0.441402	+	0.0718658i
$161$		−	1.08088i		−	0.0851855i
$162$	−4.82794	−	11.7767i	−0.379319	−	0.925266i
$163$	−24.6306			−1.92922			−0.964609	−	0.263683i	$-0.915063\pi$
$163$	−24.6306			−1.92922			−0.964609	+	0.263683i	$0.915063\pi$
$164$	−13.6052	+	5.41387i	−1.06239	+	0.422752i
$165$	0.941303	+	8.12239i	0.0732803	+	0.632328i
$166$	−2.15460	+	3.17629i	−0.167229	+	0.246528i
$167$	−1.50486	−	2.60649i	−0.116450	−	0.201697i	0.801909	−	0.597447i	$-0.203818\pi$
$167$	−1.50486	−	2.60649i	−0.116450	−	0.201697i	−0.918358	+	0.395750i	$0.870485\pi$
$168$	13.1566	−	18.2145i	1.01505	−	1.40528i
$169$	−4.16606	+	7.21583i	−0.320466	+	0.555064i
$170$	0.762594	+	1.57403i	0.0584883	+	0.120723i
$171$	12.7310	−	2.99095i	0.973562	−	0.228724i
$172$	6.50894	−	8.24144i	0.496302	−	0.628404i
$173$	−4.98815	+	8.63974i	−0.379242	+	0.656867i	−0.990952	−	0.134215i	$-0.957149\pi$
$173$	−4.98815	+	8.63974i	−0.379242	+	0.656867i	0.611710	+	0.791082i	$0.290482\pi$
$174$	−12.3457	−	6.43772i	−0.935924	−	0.488043i
$175$	3.97204	−	2.29326i	0.300258	−	0.173354i
$176$	−12.9740	−	13.7207i	−0.977956	−	1.03424i
$177$	−16.3719	+	12.1635i	−1.23059	+	0.914267i
$178$	−18.2408	−	1.32369i	−1.36721	−	0.0992146i
$179$			11.1600i			0.834136i	0.908875	+	0.417068i	$0.136942\pi$
$179$			11.1600i			0.834136i	−0.908875	+	0.417068i	$0.863058\pi$
$180$	3.43459	+	4.91972i	0.255999	+	0.366694i
$181$		−	4.80407i		−	0.357083i	−0.983932	−	0.178542i	$-0.942862\pi$
$181$		−	4.80407i		−	0.357083i	0.983932	−	0.178542i	$-0.0571379\pi$
$182$	−1.01428	+	13.9771i	−0.0751835	+	1.03605i
$183$	11.5203	+	4.98277i	0.851606	+	0.368337i
$184$	−0.635543	+	0.200976i	−0.0468528	+	0.0148162i
$185$	8.59033	−	4.95963i	0.631574	−	0.364639i
$186$	−6.17547	−	9.70850i	−0.452807	−	0.711862i
$187$	−2.91927	+	5.05632i	−0.213478	+	0.369755i
$188$	−2.62688	+	3.32608i	−0.191585	+	0.242579i
$189$	−23.4579	−	4.20741i	−1.70631	−	0.306044i
$190$	−5.54800	+	2.68792i	−0.402494	+	0.195002i
$191$	0.143662	−	0.248830i	0.0103950	−	0.0180047i	−0.860781	−	0.508975i	$-0.830024\pi$
$191$	0.143662	−	0.248830i	0.0103950	−	0.0180047i	0.871176	+	0.490971i	$0.163358\pi$
$192$	−13.1562	−	4.34912i	−0.949466	−	0.313871i
$193$	1.19503	+	2.06986i	0.0860204	+	0.148992i	0.905826	−	0.423651i	$-0.139252\pi$
$193$	1.19503	+	2.06986i	0.0860204	+	0.148992i	−0.819805	+	0.572643i	$0.805918\pi$
$194$	1.91098	+	1.29629i	0.137200	+	0.0930680i
$195$	−3.43464	−	1.48555i	−0.245960	−	0.106383i
$196$	−10.3791	−	26.0830i	−0.741365	−	1.86307i
$197$	−10.8177			−0.770732			−0.385366	−	0.922764i	$-0.625925\pi$
$197$	−10.8177			−0.770732			−0.385366	+	0.922764i	$0.625925\pi$
$198$	−7.15470	+	18.7074i	−0.508462	+	1.32948i
$199$		−	5.10541i		−	0.361913i	−0.983491	−	0.180957i	$-0.942081\pi$
$199$		−	5.10541i		−	0.361913i	0.983491	−	0.180957i	$-0.0579193\pi$
$200$	−2.08695	−	1.90910i	−0.147570	−	0.134993i
$201$	−15.5325	−	20.9066i	−1.09558	−	1.47464i
$202$	−3.01650	−	2.04620i	−0.212240	−	0.143970i
$203$	−22.5778	+	13.0353i	−1.58465	+	0.914899i
$204$	−0.126391	+	4.28238i	−0.00884915	+	0.299826i
$205$	−6.34052	−	3.66070i	−0.442841	−	0.255674i
$206$	−6.14147	−	12.6763i	−0.427896	−	0.883199i
$207$	0.484161	+	0.515201i	0.0336515	+	0.0358089i
$208$	8.40690	−	2.00248i	0.582914	−	0.138847i
$209$	−17.8221	−	10.2896i	−1.23278	−	0.711744i
$210$	11.2243	−	0.482207i	0.774547	−	0.0332754i
$211$	0.491584	+	0.851449i	0.0338420	+	0.0586161i	0.882450	−	0.470406i	$-0.155892\pi$
$211$	0.491584	+	0.851449i	0.0338420	+	0.0586161i	−0.848608	+	0.529022i	$0.822559\pi$
$212$	15.6746	+	2.28697i	1.07654	+	0.157070i
$213$	1.46493	−	0.169771i	0.100376	−	0.0116325i
$214$	−10.2742	−	0.745569i	−0.702327	−	0.0509660i
$215$	5.25090			0.358108
$216$	1.88780	+	14.5752i	0.128448	+	0.991716i
$217$	−21.5445			−1.46254
$218$	3.61801	+	0.262550i	0.245043	+	0.0177821i
$219$	18.3700	−	2.12890i	1.24133	−	0.143857i
$220$	1.36314	−	9.34278i	0.0919030	−	0.629890i
$221$	−1.33602	−	2.31405i	−0.0898704	−	0.155660i
$222$	24.2747	−	1.04287i	1.62921	−	0.0699928i
$223$	−10.3531	−	5.97739i	−0.693297	−	0.400275i	0.111549	−	0.993759i	$-0.464419\pi$
$223$	−10.3531	−	5.97739i	−0.693297	−	0.400275i	−0.804846	+	0.593484i	$0.797752\pi$
$224$	−20.0926	+	16.4148i	−1.34249	+	1.09676i
$225$	−0.866042	+	2.87228i	−0.0577361	+	0.191485i
$226$	−0.221747	−	0.457698i	−0.0147504	−	0.0304456i
$227$	17.0870	+	9.86519i	1.13410	+	0.654775i	0.944964	−	0.327175i	$-0.106097\pi$
$227$	17.0870	+	9.86519i	1.13410	+	0.654775i	0.189140	+	0.981950i	$0.439430\pi$
$228$	−15.0941	−	0.445492i	−0.999634	−	0.0295035i
$229$	0.735791	−	0.424809i	0.0486225	−	0.0280722i	−0.475492	−	0.879720i	$-0.657730\pi$
$229$	0.735791	−	0.424809i	0.0486225	−	0.0280722i	0.524114	+	0.851648i	$0.324397\pi$
$230$	−0.275812	−	0.187094i	−0.0181865	−	0.0123366i
$231$	22.3656	+	30.1038i	1.47155	+	1.98068i
$232$	11.8626	+	10.8517i	0.778819	+	0.712447i
$233$			26.9773i			1.76734i	0.468111	+	0.883670i	$0.344935\pi$
$233$			26.9773i			1.76734i	−0.468111	+	0.883670i	$0.655065\pi$
$234$	−5.77732	−	7.11648i	−0.377675	−	0.465219i
$235$	−2.11916			−0.138239
$236$	21.8823	−	8.70755i	1.42442	−	0.566813i
$237$	18.3893	+	7.95377i	1.19452	+	0.516653i
$238$	6.63870	+	4.50328i	0.430323	+	0.291905i
$239$	−6.98946	−	12.1061i	−0.452111	−	0.783079i	0.546406	−	0.837520i	$-0.315995\pi$
$239$	−6.98946	−	12.1061i	−0.452111	−	0.783079i	−0.998517	+	0.0544415i	$0.982662\pi$
$240$	−2.37054	−	6.51003i	−0.153018	−	0.420221i
$241$	7.14583	−	12.3769i	0.460303	−	0.797269i	−0.538673	−	0.842515i	$-0.681074\pi$
$241$	7.14583	−	12.3769i	0.460303	−	0.797269i	0.998976	+	0.0452465i	$0.0144073\pi$
$242$	14.3644	−	6.95932i	0.923378	−	0.447362i
$243$	13.0658	−	8.50207i	0.838171	−	0.545408i
$244$	−11.3740	−	8.98296i	−0.728144	−	0.575075i
$245$	7.01804	−	12.1556i	0.448366	−	0.776593i
$246$	−9.62520	−	15.1318i	−0.613680	−	0.964771i
$247$	8.15637	−	4.70908i	0.518977	−	0.299632i
$248$	4.00593	+	12.6679i	0.254377	+	0.804409i
$249$	−4.31444	−	1.86609i	−0.273417	−	0.118258i
$250$	0.102357	−	1.41050i	0.00647360	−	0.0892081i
$251$			9.70630i			0.612656i	0.951926	+	0.306328i	$0.0991004\pi$
$251$			9.70630i			0.612656i	−0.951926	+	0.306328i	$0.900900\pi$
$252$	24.9245	+	11.6649i	1.57009	+	0.734819i
$253$		−	1.11254i		−	0.0699449i
$254$	−12.7358	−	0.924206i	−0.799117	−	0.0579898i
$255$	−1.71950	+	1.27750i	−0.107679	+	0.0800002i
$256$	13.3876	+	8.76200i	0.836724	+	0.547625i
$257$	16.4543	−	9.49991i	1.02639	−	0.592588i	0.110444	−	0.993882i	$-0.464773\pi$
$257$	16.4543	−	9.49991i	1.02639	−	0.592588i	0.915949	+	0.401294i	$0.131439\pi$
$258$	11.4046	+	5.94699i	0.710019	+	0.370243i
$259$	22.7474	−	39.3996i	1.41345	−	2.44817i
$260$	3.39101	+	2.67816i	0.210301	+	0.166092i
$261$	4.92275	−	16.3266i	0.304711	−	1.01059i
$262$	0.702100	+	1.44917i	0.0433759	+	0.0895300i
$263$	−12.6788	+	21.9603i	−0.781806	+	1.35413i	0.149083	+	0.988825i	$0.452368\pi$
$263$	−12.6788	+	21.9603i	−0.781806	+	1.35413i	−0.930889	+	0.365303i	$0.880965\pi$
$264$	13.5420	−	18.7481i	0.833451	−	1.15386i
$265$	3.96014	+	6.85916i	0.243269	+	0.421355i
$266$	−15.8728	+	23.3995i	−0.973222	+	1.43472i
$267$	−2.57857	−	22.2502i	−0.157806	−	1.36169i
$268$	11.1193	+	27.9431i	0.679221	+	1.70690i
$269$	10.6387			0.648652			0.324326	−	0.945945i	$-0.394862\pi$
$269$	10.6387			0.648652			0.324326	+	0.945945i	$0.394862\pi$
$270$	−5.13403	+	5.25754i	−0.312447	+	0.319964i
$271$			22.9127i			1.39185i	0.718115	+	0.695924i	$0.245005\pi$
$271$			22.9127i			1.39185i	−0.718115	+	0.695924i	$0.754995\pi$
$272$	1.41348	−	4.74079i	0.0857049	−	0.287452i
$273$	−17.0493	+	1.97584i	−1.03187	+	0.119583i
$274$	−3.11004	+	4.58480i	−0.187884	+	0.276978i
$275$	4.08838	−	2.36043i	0.246538	−	0.142339i
$276$	−0.387150	−	0.718731i	−0.0233037	−	0.0432625i
$277$	13.2767	+	7.66533i	0.797722	+	0.460565i	0.842674	−	0.538424i	$-0.180980\pi$
$277$	13.2767	+	7.66533i	0.797722	+	0.460565i	−0.0449517	+	0.998989i	$0.514313\pi$
$278$	14.5200	−	7.03470i	0.870850	−	0.421913i
$279$	10.2692	−	9.65047i	0.614798	−	0.577759i
$280$	−12.6675	−	2.79709i	−0.757027	−	0.167158i
$281$	−9.30426	−	5.37182i	−0.555046	−	0.320456i	0.196109	−	0.980582i	$-0.437169\pi$
$281$	−9.30426	−	5.37182i	−0.555046	−	0.320456i	−0.751155	+	0.660126i	$0.770503\pi$
$282$	−4.60267	−	2.40008i	−0.274085	−	0.142923i
$283$	8.88802	+	15.3945i	0.528338	+	0.915108i	0.999454	+	0.0330371i	$0.0105180\pi$
$283$	8.88802	+	15.3945i	0.528338	+	0.915108i	−0.471116	+	0.882071i	$0.656149\pi$
$284$	−1.68504	−	0.245853i	−0.0999887	−	0.0145887i
$285$	−4.50282	−	6.06073i	−0.266724	−	0.359007i
$286$	−1.04399	+	14.3865i	−0.0617324	+	0.850690i
$287$	−33.5797			−1.98215
$288$	2.22439	−	16.8242i	0.131074	−	0.991373i
$289$	15.4704			0.910026
$290$	−0.581815	+	8.01758i	−0.0341654	+	0.470809i
$291$	−1.12271	+	2.59573i	−0.0658143	+	0.152164i
$292$	−21.1301	−	3.08295i	−1.23655	−	0.180416i
$293$	−13.9870	−	24.2262i	−0.817129	−	1.41531i	−0.907789	−	0.419428i	$-0.862231\pi$
$293$	−13.9870	−	24.2262i	−0.817129	−	1.41531i	0.0906593	−	0.995882i	$-0.471103\pi$
$294$	29.0097	−	18.4528i	1.69188	−	1.07619i
$295$	10.1979	+	5.88778i	0.593747	+	0.342800i
$296$	−27.3960	−	6.04926i	−1.59236	−	0.351606i
$297$	−24.1450	−	4.33065i	−1.40103	−	0.251290i
$298$	25.1183	−	12.1694i	1.45506	−	0.704955i
$299$	0.440947	+	0.254581i	0.0255006	+	0.0147228i
$300$	1.81980	−	2.94760i	0.105066	−	0.170180i
$301$	20.8567	−	12.0416i	1.20216	−	0.694069i
$302$	4.88037	−	7.19460i	0.280834	−	0.414003i
$303$	1.77221	−	4.09739i	0.101811	−	0.235389i
$304$	16.7099	+	4.98211i	0.958378	+	0.285744i
$305$		−	7.24674i		−	0.414947i
$306$	−5.18149	+	0.827203i	−0.296206	+	0.0472880i
$307$	15.3914			0.878434			0.439217	−	0.898381i	$-0.355256\pi$
$307$	15.3914			0.878434			0.439217	+	0.898381i	$0.355256\pi$
$308$	−16.0109	−	40.2359i	−0.912308	−	2.29265i
$309$	13.8478	−	10.2882i	0.787773	−	0.585276i
$310$	−3.72922	+	5.49758i	−0.211805	+	0.312242i
$311$	9.87577	+	17.1053i	0.560004	+	0.969955i	0.997495	+	0.0707323i	$0.0225336\pi$
$311$	9.87577	+	17.1053i	0.560004	+	0.969955i	−0.437492	+	0.899222i	$0.644133\pi$
$312$	4.33185	+	9.65733i	0.245243	+	0.546738i
$313$	−8.85105	+	15.3305i	−0.500291	+	0.866529i	0.499709	+	0.866193i	$0.333440\pi$
$313$	−8.85105	+	15.3305i	−0.500291	+	0.866529i	−1.00000		0.000335911i	$0.999893\pi$
$314$	−0.241731	−	0.498945i	−0.0136417	−	0.0281571i
$315$	3.14692	+	13.3948i	0.177309	+	0.754714i
$316$	−18.1557	−	14.3391i	−1.02134	−	0.806636i
$317$	2.67910	−	4.64033i	0.150473	−	0.260627i	−0.780928	−	0.624621i	$-0.785254\pi$
$317$	2.67910	−	4.64033i	0.150473	−	0.260627i	0.931401	+	0.363994i	$0.118587\pi$
$318$	0.832705	+	19.3828i	0.0466958	+	1.08693i
$319$	−23.2391	+	13.4171i	−1.30114	+	0.751214i
$320$	0.710712	+	7.96837i	0.0397300	+	0.445445i
$321$	−1.45238	−	12.5324i	−0.0810640	−	0.699492i
$322$	−1.52459	−	0.110636i	−0.0849621	−	0.00616548i
$323$		−	5.39126i		−	0.299978i
$324$	−17.1053	+	5.60441i	−0.950293	+	0.311356i
$325$			2.16053i			0.119844i
$326$	−2.52111	+	34.7416i	−0.139631	+	1.92416i
$327$	0.511452	+	4.41326i	0.0282834	+	0.244054i
$328$	6.24371	+	19.7443i	0.344751	+	1.09020i
$329$	−8.41736	+	4.85977i	−0.464064	+	0.267928i
$330$	11.5530	−	0.496331i	0.635973	−	0.0273221i
$331$	12.9222	−	22.3818i	0.710266	−	1.23022i	−0.254491	−	0.967075i	$-0.581908\pi$
$331$	12.9222	−	22.3818i	0.710266	−	1.23022i	0.964757	−	0.263142i	$-0.0847587\pi$
$332$	4.25963	+	3.36418i	0.233778	+	0.184634i
$333$	6.80584	+	28.9690i	0.372958	+	1.58749i
$334$	−3.83050	+	1.85582i	−0.209596	+	0.101546i
$335$	−7.51856	+	13.0225i	−0.410783	+	0.711496i
$336$	−24.3450	−	20.4218i	−1.32813	−	1.11410i
$337$	8.23294	+	14.2599i	0.448477	+	0.776784i	0.998287	−	0.0585051i	$-0.0186334\pi$
$337$	8.23294	+	14.2599i	0.448477	+	0.776784i	−0.549810	+	0.835289i	$0.685300\pi$
$338$	9.75154	+	6.61484i	0.530414	+	0.359800i
$339$	0.499997	−	0.371473i	0.0271561	−	0.0201756i
$340$	2.29823	−	0.914529i	0.124639	−	0.0495973i
$341$	−22.1756			−1.20087
$342$	−2.91565	−	18.2632i	−0.157660	−	0.987563i
$343$		−	32.2711i		−	1.74247i
$344$	−10.9584	−	10.0245i	−0.590835	−	0.540483i
$345$	0.162041	−	0.374643i	0.00872399	−	0.0201701i
$346$	11.6758	+	7.92015i	0.627696	+	0.425790i
$347$	13.0391	−	7.52814i	0.699976	−	0.404132i	−0.107362	−	0.994220i	$-0.534240\pi$
$347$	13.0391	−	7.52814i	0.699976	−	0.404132i	0.807339	+	0.590088i	$0.200907\pi$
$348$	−10.3441	+	16.7547i	−0.554502	+	0.898147i
$349$	−7.00796	−	4.04605i	−0.375128	−	0.216580i	0.300569	−	0.953760i	$-0.402824\pi$
$349$	−7.00796	−	4.04605i	−0.375128	−	0.216580i	−0.675696	+	0.737180i	$0.736157\pi$
$350$	−2.82808	−	5.83730i	−0.151167	−	0.312017i
$351$	7.24146	−	8.57868i	0.386521	−	0.457896i
$352$	−20.6811	+	16.8955i	−1.10230	+	0.900536i
$353$	8.16936	+	4.71658i	0.434811	+	0.251038i	0.701394	−	0.712774i	$-0.252561\pi$
$353$	8.16936	+	4.71658i	0.434811	+	0.251038i	−0.266583	+	0.963812i	$0.585895\pi$
$354$	15.4809	+	24.3377i	0.822803	+	1.29353i
$355$	−0.425720	−	0.737369i	−0.0225949	−	0.0391355i
$356$	−3.73414	+	25.5933i	−0.197909	+	1.35644i
$357$	−3.90027	+	9.01753i	−0.206424	+	0.477258i
$358$	15.7412	+	1.14230i	0.831948	+	0.0603723i
$359$	28.9175			1.52621			0.763103	−	0.646277i	$-0.223675\pi$
$359$	28.9175			1.52621			0.763103	+	0.646277i	$0.223675\pi$
$360$	7.29083	−	4.34094i	0.384261	−	0.228788i
$361$	0.00262185			0.000137992
$362$	−6.77616	−	0.491728i	−0.356147	−	0.0258447i
$363$	11.6583	+	15.6919i	0.611902	+	0.823611i
$364$	19.6109	+	2.86129i	1.02789	+	0.149973i
$365$	−5.33845	−	9.24648i	−0.279428	−	0.483983i
$366$	8.20741	−	15.7394i	0.429008	−	0.822713i
$367$	−27.0895	−	15.6401i	−1.41406	−	0.816407i	−0.418291	−	0.908313i	$-0.637371\pi$
$367$	−27.0895	−	15.6401i	−1.41406	−	0.816407i	−0.995768	+	0.0919062i	$0.970704\pi$
$368$	0.218426	+	0.917007i	0.0113862	+	0.0478023i
$369$	16.0057	−	15.0414i	0.833223	−	0.783024i
$370$	−6.11630	−	12.6244i	−0.317971	−	0.656309i
$371$	31.4596	+	18.1632i	1.63330	+	0.942988i
$372$	−14.3260	+	7.71680i	−0.742768	+	0.400097i
$373$	−17.8238	+	10.2906i	−0.922882	+	0.532826i	−0.884553	−	0.466439i	$-0.845537\pi$
$373$	−17.8238	+	10.2906i	−0.922882	+	0.532826i	−0.0383285	+	0.999265i	$0.512203\pi$
$374$	6.83315	+	4.63519i	0.353334	+	0.239680i
$375$	1.72054	−	0.199393i	0.0888481	−	0.0102966i
$376$	4.42257	+	4.04567i	0.228077	+	0.208640i
$377$		−	12.2808i		−	0.632496i
$378$	−8.33565	+	32.6568i	−0.428739	+	1.67968i
$379$	1.15098			0.0591219			0.0295609	−	0.999563i	$-0.490589\pi$
$379$	1.15098			0.0591219			0.0295609	+	0.999563i	$0.490589\pi$
$380$	3.22345	+	8.10061i	0.165359	+	0.415552i
$381$	−1.80037	−	15.5352i	−0.0922357	−	0.795892i
$382$	−0.336272	−	0.228106i	−0.0172052	−	0.0116709i
$383$	0.0240645	+	0.0416809i	0.00122964	+	0.00212979i	0.866640	−	0.498935i	$-0.166275\pi$
$383$	0.0240645	+	0.0416809i	0.00122964	+	0.00212979i	−0.865410	+	0.501065i	$0.832942\pi$
$384$	−7.48108	+	18.1117i	−0.381767	+	0.924258i
$385$	10.8261	−	18.7514i	0.551750	−	0.955659i
$386$	3.04186	−	1.47374i	0.154827	−	0.0750112i
$387$	−4.54750	+	15.0820i	−0.231162	+	0.766662i
$388$	2.02402	−	2.56276i	0.102754	−	0.130104i
$389$	10.1379	−	17.5594i	0.514012	−	0.890294i	−0.485856	−	0.874039i	$-0.661492\pi$
$389$	10.1379	−	17.5594i	0.514012	−	0.890294i	0.999868	−	0.0162556i	$-0.00517455\pi$
$390$	−2.44694	+	4.69252i	−0.123906	+	0.237615i
$391$	0.252412	−	0.145730i	0.0127650	−	0.00736989i
$392$	−37.8525	+	11.9700i	−1.91184	+	0.604577i
$393$	−1.58310	+	1.17616i	−0.0798567	+	0.0593296i
$394$	−1.10727	+	15.2585i	−0.0557833	+	0.768710i
$395$		−	11.5676i		−	0.582030i
$396$	25.6545	+	12.0066i	1.28919	+	0.603352i
$397$		−	16.5809i		−	0.832169i	−0.909326	−	0.416085i	$-0.863402\pi$
$397$		−	16.5809i		−	0.832169i	0.909326	−	0.416085i	$-0.136598\pi$
$398$	−7.20121	−	0.522573i	−0.360964	−	0.0261942i
$399$	−31.7842	−	13.7473i	−1.59120	−	0.688227i
$400$	−2.90640	+	2.74824i	−0.145320	+	0.137412i
$401$	18.1229	−	10.4632i	0.905013	−	0.522510i	0.0261899	−	0.999657i	$-0.491663\pi$
$401$	18.1229	−	10.4632i	0.905013	−	0.522510i	0.878823	+	0.477147i	$0.158329\pi$
$402$	−31.0787	+	19.7688i	−1.55006	+	0.985978i
$403$	5.07439	−	8.78910i	0.252773	−	0.437816i
$404$	−3.19494	+	4.04534i	−0.158954	+	0.201263i
$405$	−7.49994	−	4.97502i	−0.372675	−	0.247211i
$406$	16.0754	+	33.1804i	0.797807	+	1.64671i
$407$	23.4137	−	40.5537i	1.16057	−	2.01017i
$408$	6.02738	+	0.616605i	0.298400	+	0.0305265i
$409$	−8.62868	−	14.9453i	−0.426661	−	0.738998i	0.569913	−	0.821705i	$-0.306977\pi$
$409$	−8.62868	−	14.9453i	−0.426661	−	0.738998i	−0.996574	+	0.0827069i	$0.973643\pi$
$410$	−5.81243	+	8.56863i	−0.287055	+	0.423174i
$411$	−6.22765	−	2.69359i	−0.307187	−	0.132865i
$412$	−18.5086	+	7.36506i	−0.911852	+	0.362851i
$413$	54.0088			2.65760
$414$	0.776250	−	0.630178i	0.0381506	−	0.0309715i
$415$			2.71396i			0.133223i
$416$	−1.96400	−	12.0629i	−0.0962931	−	0.591434i
$417$	11.7846	+	15.8619i	0.577093	+	0.776759i
$418$	−16.3377	+	24.0849i	−0.799103	+	1.17803i
$419$	−12.4910	+	7.21167i	−0.610224	+	0.352313i	−0.773053	−	0.634341i	$-0.781271\pi$
$419$	−12.4910	+	7.21167i	−0.610224	+	0.352313i	0.162829	+	0.986654i	$0.447938\pi$
$420$	0.468723	−	15.8812i	0.0228713	−	0.774924i
$421$	−23.2632	−	13.4310i	−1.13378	−	0.654588i	−0.188897	−	0.981997i	$-0.560491\pi$
$421$	−23.2632	−	13.4310i	−1.13378	−	0.654588i	−0.944883	+	0.327409i	$0.893825\pi$
$422$	1.25129	−	0.606230i	0.0609118	−	0.0295108i
$423$	1.83528	−	6.08680i	0.0892343	−	0.295951i
$424$	4.83019	−	21.8750i	0.234575	−	1.06234i
$425$	1.07106	+	0.618377i	0.0519541	+	0.0299957i
$426$	−0.0895169	−	2.08367i	−0.00433711	−	0.100954i
$427$	−16.6186	−	28.7843i	−0.804231	−	1.39297i
$428$	−2.10326	+	14.4154i	−0.101665	+	0.696796i
$429$	−17.5486	+	2.03371i	−0.847256	+	0.0981884i
$430$	0.537464	−	7.40641i	0.0259188	−	0.357169i
$431$	12.6429			0.608988			0.304494	−	0.952514i	$-0.401513\pi$
$431$	12.6429			0.608988			0.304494	+	0.952514i	$0.401513\pi$
$432$	20.7516	−	1.17088i	0.998412	−	0.0563339i
$433$	−28.3673			−1.36324			−0.681622	−	0.731705i	$-0.738725\pi$
$433$	−28.3673			−1.36324			−0.681622	+	0.731705i	$0.738725\pi$
$434$	−2.20522	+	30.3886i	−0.105854	+	1.45870i
$435$	−9.77986	+	1.13339i	−0.468908	+	0.0543417i
$436$	0.740656	−	5.07635i	0.0354710	−	0.243113i
$437$	0.513656	+	0.889679i	0.0245715	+	0.0425591i
$438$	−1.12253	−	26.1289i	−0.0536364	−	1.24849i
$439$	1.62013	+	0.935382i	0.0773246	+	0.0446434i	0.538164	−	0.842840i	$-0.319118\pi$
$439$	1.62013	+	0.935382i	0.0773246	+	0.0446434i	−0.460839	+	0.887484i	$0.652452\pi$
$440$	−13.0385	−	2.87901i	−0.621587	−	0.137252i
$441$	28.8363	+	30.6850i	1.37316	+	1.46119i
$442$	−3.40073	+	1.64760i	−0.161756	+	0.0783685i
$443$	32.9508	+	19.0242i	1.56554	+	0.903866i	0.996679	+	0.0814332i	$0.0259497\pi$
$443$	32.9508	+	19.0242i	1.56554	+	0.903866i	0.568863	+	0.822433i	$0.307384\pi$
$444$	1.01371	−	34.3464i	0.0481084	−	1.63001i
$445$	−11.1995	+	6.46606i	−0.530909	+	0.306521i
$446$	−9.49084	+	13.9913i	−0.449404	+	0.662508i
$447$	20.3863	+	27.4396i	0.964238	+	1.29785i
$448$	21.0965	+	30.0208i	0.996715	+	1.41835i
$449$			4.53199i			0.213878i	0.994266	+	0.106939i	$0.0341049\pi$
$449$			4.53199i			0.213878i	−0.994266	+	0.106939i	$0.965895\pi$
$450$	3.96271	+	1.51555i	0.186804	+	0.0714438i
$451$	−34.5632			−1.62752
$452$	−0.668282	+	0.265927i	−0.0314333	+	0.0125082i
$453$	9.77261	+	4.22686i	0.459157	+	0.198595i
$454$	15.6639	−	23.0915i	0.735141	−	1.08374i
$455$	4.95464	+	8.58169i	0.232277	+	0.402316i
$456$	−2.17335	+	21.2448i	−0.101777	+	0.994877i
$457$	6.38333	−	11.0562i	0.298599	−	0.517189i	−0.677216	−	0.735784i	$-0.736814\pi$
$457$	6.38333	−	11.0562i	0.298599	−	0.517189i	0.975816	+	0.218595i	$0.0701472\pi$
$458$	−0.523882	−	1.08132i	−0.0244794	−	0.0505267i
$459$	−2.18018	−	6.04524i	−0.101762	−	0.282168i
$460$	−0.292128	+	0.369884i	−0.0136205	+	0.0172459i
$461$	−17.8836	+	30.9753i	−0.832923	+	1.44266i	0.0627876	+	0.998027i	$0.480001\pi$
$461$	−17.8836	+	30.9753i	−0.832923	+	1.44266i	−0.895710	+	0.444638i	$0.853332\pi$
$462$	44.7508	−	28.4655i	2.08200	−	1.32433i
$463$	27.6653	−	15.9726i	1.28572	−	0.742309i	0.307829	−	0.951442i	$-0.400398\pi$
$463$	27.6653	−	15.9726i	1.28572	−	0.742309i	0.977887	+	0.209133i	$0.0670642\pi$
$464$	16.5205	−	15.6215i	0.766947	−	0.725212i
$465$	−7.46751	−	3.22986i	−0.346298	−	0.149781i
$466$	38.0516	+	2.76130i	1.76270	+	0.127915i
$467$		−	0.817062i		−	0.0378091i	−0.999821	−	0.0189046i	$-0.993982\pi$
$467$		−	0.817062i		−	0.0378091i	0.999821	−	0.0189046i	$-0.00601787\pi$
$468$	−10.6292	+	7.42052i	−0.491334	+	0.343014i
$469$			68.9679i			3.18464i
$470$	−0.216910	+	2.98908i	−0.0100053	+	0.137876i
$471$	0.545056	−	0.404950i	0.0251149	−	0.0186591i
$472$	−10.0422	−	31.7563i	−0.462232	−	1.46170i
$473$	21.4676	−	12.3944i	0.987083	−	0.569893i
$474$	13.1011	−	25.1241i	0.601753	−	1.15399i
$475$	−2.17960	+	3.77518i	−0.100007	+	0.173217i
$476$	7.03142	−	8.90298i	0.322285	−	0.408067i
$477$	−23.1311	+	5.43429i	−1.05910	+	0.248819i
$478$	−17.7911	+	8.61953i	−0.813748	+	0.394248i
$479$	17.3720	−	30.0891i	0.793746	−	1.37481i	−0.129887	−	0.991529i	$-0.541461\pi$
$479$	17.3720	−	30.0891i	0.793746	−	1.37481i	0.923633	−	0.383279i	$-0.125205\pi$
$480$	−9.42507	+	2.67731i	−0.430194	+	0.122202i
$481$	10.7154	+	18.5596i	0.488581	+	0.846246i
$482$	−16.7263	−	11.3461i	−0.761862	−	0.516800i
$483$	−0.215520	−	1.85970i	−0.00980650	−	0.0846191i
$484$	−8.34587	−	20.9734i	−0.379358	−	0.953335i
$485$	1.63282			0.0741425
$486$	−10.6548	−	19.2996i	−0.483313	−	0.875448i
$487$			39.8130i			1.80410i	0.431630	+	0.902051i	$0.357939\pi$
$487$			39.8130i			1.80410i	−0.431630	+	0.902051i	$0.642061\pi$
$488$	−13.8347	+	15.1236i	−0.626268	+	0.684612i
$489$	−42.3778	+	4.91116i	−1.91639	+	0.222090i
$490$	−16.4272	−	11.1432i	−0.742105	−	0.503398i
$491$	−21.9098	+	12.6496i	−0.988775	+	0.570870i	−0.904908	−	0.425607i	$-0.860061\pi$
$491$	−21.9098	+	12.6496i	−0.988775	+	0.570870i	−0.0838674	+	0.996477i	$0.526727\pi$
$492$	−22.3287	+	12.0275i	−1.00666	+	0.542243i
$493$	−6.08812	−	3.51498i	−0.274195	−	0.158307i
$494$	−5.80732	−	11.9866i	−0.261284	−	0.539303i
$495$	3.23909	+	13.7872i	0.145586	+	0.619688i
$496$	18.2781	−	4.35374i	0.820711	−	0.195489i
$497$	−3.38195	−	1.95257i	−0.151701	−	0.0875848i
$498$	−3.07373	+	5.89453i	−0.137737	+	0.264140i
$499$	5.75232	+	9.96331i	0.257509	+	0.446019i	0.965574	−	0.260128i	$-0.0837649\pi$
$499$	5.75232	+	9.96331i	0.257509	+	0.446019i	−0.708065	+	0.706147i	$0.750432\pi$
$500$	−1.97905	−	0.288749i	−0.0885056	−	0.0129132i
$501$	−3.10888	−	4.18451i	−0.138895	−	0.186950i
$502$	13.6908	+	0.993504i	0.611049	+	0.0443423i
$503$	−16.2502			−0.724561			−0.362281	−	0.932069i	$-0.618002\pi$
$503$	−16.2502			−0.724561			−0.362281	+	0.932069i	$0.618002\pi$
$504$	19.0046	−	33.9621i	0.846531	−	1.51279i
$505$	−2.57742			−0.114694
$506$	−1.56925	−	0.113876i	−0.0697615	−	0.00506241i
$507$	−5.72908	+	13.2458i	−0.254437	+	0.588266i
$508$	−2.60719	+	17.8693i	−0.115676	+	0.792824i
$509$	−2.87628	−	4.98186i	−0.127489	−	0.220817i	0.795214	−	0.606328i	$-0.207358\pi$
$509$	−2.87628	−	4.98186i	−0.127489	−	0.220817i	−0.922703	+	0.385512i	$0.874025\pi$
$510$	1.62592	+	2.55612i	0.0719969	+	0.113187i
$511$	−42.4091	−	24.4849i	−1.87607	−	1.08315i
$512$	13.7292	−	17.9864i	0.606749	−	0.794894i
$513$	21.3077	−	7.68450i	0.940759	−	0.339279i
$514$	−11.7155	−	24.1813i	−0.516747	−	1.06659i
$515$	−8.62567	−	4.98003i	−0.380093	−	0.219447i
$516$	9.55559	−	15.4775i	0.420661	−	0.681360i
$517$	−8.66391	+	5.00211i	−0.381038	+	0.219993i
$518$	−53.2450	−	36.1181i	−2.33945	−	1.58694i
$519$	−6.85960	+	15.8596i	−0.301103	+	0.696158i
$520$	4.12465	−	4.50891i	0.180878	−	0.197729i
$521$			30.4544i			1.33423i	0.744953	+	0.667117i	$0.232472\pi$
$521$			30.4544i			1.33423i	−0.744953	+	0.667117i	$0.767528\pi$
$522$	−22.5248	−	8.61469i	−0.985885	−	0.377055i
$523$	18.7457			0.819694			0.409847	−	0.912154i	$-0.365582\pi$
$523$	18.7457			0.819694			0.409847	+	0.912154i	$0.365582\pi$
$524$	2.11592	−	0.841983i	0.0924346	−	0.0367822i
$525$	6.37677	−	4.73762i	0.278305	−	0.206767i
$526$	29.6773	+	20.1312i	1.29399	+	0.877763i
$527$	−2.90474	−	5.03116i	−0.126533	−	0.219161i
$528$	−25.0581	−	21.0200i	−1.09051	−	0.914778i
$529$	11.4722	−	19.8705i	0.498793	−	0.863934i
$530$	10.0802	−	4.88371i	0.437857	−	0.212135i
$531$	−25.7432	+	24.1922i	−1.11716	+	1.04985i
$532$	31.3804	+	24.7837i	1.36051	+	1.07451i
$533$	7.90903	−	13.6988i	0.342578	−	0.593363i
$534$	−31.6479	+	1.35963i	−1.36954	+	0.0588369i
$535$	−6.30815	+	3.64201i	−0.272725	+	0.157458i
$536$	40.5521	−	12.8237i	1.75158	−	0.553899i
$537$	2.22522	+	19.2011i	0.0960251	+	0.828590i
$538$	1.08894	−	15.0059i	0.0469476	−	0.646951i
$539$		−	66.2623i		−	2.85412i
$540$	6.89029	+	7.77971i	0.296511	+	0.334786i
$541$		−	28.8219i		−	1.23915i	−0.784938	−	0.619575i	$-0.787305\pi$
$541$		−	28.8219i		−	1.23915i	0.784938	−	0.619575i	$-0.212695\pi$
$542$	32.3185	+	2.34527i	1.38820	+	0.100738i
$543$	−0.957895	−	8.26557i	−0.0411072	−	0.354709i
$544$	−6.54222	−	2.47897i	−0.280495	−	0.106285i
$545$	2.22140	−	1.28253i	0.0951543	−	0.0549373i
$546$	1.04182	+	24.2503i	0.0445858	+	1.03782i
$547$	−8.43142	+	14.6036i	−0.360502	+	0.624407i	−0.988043	−	0.154176i	$-0.950728\pi$
$547$	−8.43142	+	14.6036i	−0.360502	+	0.624407i	0.627542	+	0.778583i	$0.284061\pi$
$548$	6.14854	+	4.85601i	0.262653	+	0.207438i
$549$	20.8146	+	6.27598i	0.888347	+	0.267852i
$550$	−2.91092	−	6.00828i	−0.124122	−	0.256194i
$551$	12.3893	−	21.4588i	0.527801	−	0.914177i
$552$	−1.05340	+	0.472509i	−0.0448357	+	0.0201113i
$553$	−26.5275	−	45.9470i	−1.12806	−	1.95387i
$554$	12.1710	−	17.9423i	0.517094	−	0.762296i
$555$	13.7911	−	10.2461i	0.585398	−	0.434921i
$556$	−8.43626	−	21.2005i	−0.357777	−	0.899103i
$557$	−20.1743			−0.854811			−0.427406	−	0.904060i	$-0.640572\pi$
$557$	−20.1743			−0.854811			−0.427406	+	0.904060i	$0.640572\pi$
$558$	−12.5609	−	15.4725i	−0.531746	−	0.655002i
$559$			11.3447i			0.479830i
$560$	−5.24190	+	17.5812i	−0.221511	+	0.742943i
$561$	−4.01451	+	9.28166i	−0.169493	+	0.391872i
$562$	−8.52932	+	12.5739i	−0.359788	+	0.530396i
$563$	5.22595	−	3.01721i	0.220248	−	0.127160i	−0.385817	−	0.922575i	$-0.626080\pi$
$563$	5.22595	−	3.01721i	0.220248	−	0.127160i	0.606065	+	0.795415i	$0.292747\pi$
$564$	−3.85644	+	6.24642i	−0.162386	+	0.263022i
$565$	−0.311444	−	0.179812i	−0.0131025	−	0.00756475i
$566$	22.6238	−	10.9609i	0.950948	−	0.460720i
$567$	−41.1990	−	2.56168i	−1.73020	−	0.107580i
$568$	−0.519251	+	2.35159i	−0.0217873	+	0.0986706i
$569$	12.8303	+	7.40759i	0.537875	+	0.310543i	0.744217	−	0.667937i	$-0.232823\pi$
$569$	12.8303	+	7.40759i	0.537875	+	0.310543i	−0.206342	+	0.978480i	$0.566156\pi$
$570$	−9.00958	+	5.73089i	−0.377370	+	0.240041i
$571$	−3.96582	−	6.86900i	−0.165964	−	0.287459i	0.771033	−	0.636795i	$-0.219740\pi$
$571$	−3.96582	−	6.86900i	−0.165964	−	0.287459i	−0.936997	+	0.349337i	$0.886407\pi$
$572$	20.1853	+	2.94510i	0.843991	+	0.123141i
$573$	0.197561	−	0.456767i	0.00825324	−	0.0190817i
$574$	−3.43710	+	47.3643i	−0.143462	+	1.97695i
$575$	−0.235665			−0.00982793
$576$	−23.5029	−	4.85958i	−0.979286	−	0.202482i
$577$	−9.19579			−0.382826			−0.191413	−	0.981510i	$-0.561307\pi$
$577$	−9.19579			−0.382826			−0.191413	+	0.981510i	$0.561307\pi$
$578$	1.58350	−	21.8211i	0.0658650	−	0.907639i
$579$	2.46881	+	3.32298i	0.102600	+	0.138098i
$580$	11.2493	+	1.64131i	0.467101	+	0.0681515i
$581$	6.22379	+	10.7799i	0.258207	+	0.447227i
$582$	3.54637	+	1.84927i	0.147002	+	0.0766549i
$583$	32.3811	+	18.6952i	1.34109	+	0.774278i
$584$	−6.51132	+	29.4885i	−0.269440	+	1.22024i
$585$	−6.20563	−	1.87111i	−0.256571	−	0.0773607i
$586$	−35.6028	+	17.2490i	−1.47074	+	0.712550i
$587$	6.45327	+	3.72580i	0.266355	+	0.153780i	0.627230	−	0.778834i	$-0.284189\pi$
$587$	6.45327	+	3.72580i	0.266355	+	0.153780i	−0.360875	+	0.932614i	$0.617522\pi$
$588$	−23.0584	−	42.8071i	−0.950912	−	1.76534i
$589$	17.7334	−	10.2384i	0.730692	−	0.421865i
$590$	9.34857	−	13.7816i	0.384875	−	0.567379i
$591$	−18.6123	+	2.15698i	−0.765608	+	0.0887261i
$592$	−11.3367	+	38.0230i	−0.465934	+	1.56273i
$593$			5.98713i			0.245862i	0.992415	+	0.122931i	$0.0392294\pi$
$593$			5.98713i			0.245862i	−0.992415	+	0.122931i	$0.960771\pi$
$594$	−8.57980	+	33.6133i	−0.352034	+	1.37917i
$595$	5.67239			0.232545
$596$	−14.5940	−	36.6751i	−0.597793	−	1.50227i
$597$	−1.01798	−	8.78404i	−0.0416632	−	0.359507i
$598$	0.404221	−	0.595899i	0.0165298	−	0.0243681i
$599$	−18.3740	−	31.8246i	−0.750740	−	1.30032i	−0.947465	−	0.319861i	$-0.896364\pi$
$599$	−18.3740	−	31.8246i	−0.750740	−	1.30032i	0.196725	−	0.980459i	$-0.436969\pi$
$600$	−3.97133	−	2.86854i	−0.162129	−	0.117108i
$601$	−5.67611	+	9.83130i	−0.231533	+	0.401027i	−0.958260	−	0.285900i	$-0.907708\pi$
$601$	−5.67611	+	9.83130i	−0.231533	+	0.401027i	0.726726	+	0.686927i	$0.241041\pi$
$602$	−14.8500	−	30.6511i	−0.605240	−	1.24924i
$603$	−30.8929	−	32.8734i	−1.25806	−	1.33871i
$604$	−9.64847	−	7.62019i	−0.392591	−	0.310061i
$605$	5.64322	−	9.77435i	0.229430	−	0.397384i
$606$	−5.59799	−	2.91910i	−0.227403	−	0.118580i
$607$	−5.06707	+	2.92548i	−0.205666	+	0.118741i	−0.599296	−	0.800528i	$-0.704553\pi$
$607$	−5.06707	+	2.92548i	−0.205666	+	0.118741i	0.393630	+	0.919269i	$0.371219\pi$
$608$	8.73766	−	23.0594i	0.354359	−	0.935183i
$609$	−36.2468	+	26.9296i	−1.46879	+	1.09124i
$610$	−10.2216	−	0.741752i	−0.413859	−	0.0300326i
$611$		−	4.57849i		−	0.185226i
$612$	0.636414	+	7.39318i	0.0257255	+	0.298852i
$613$		−	18.4132i		−	0.743703i	−0.928292	−	0.371851i	$-0.878723\pi$
$613$		−	18.4132i		−	0.743703i	0.928292	−	0.371851i	$-0.121277\pi$
$614$	1.57541	−	21.7096i	0.0635785	−	0.876130i
$615$	−11.6390	−	5.03411i	−0.469330	−	0.202995i
$616$	−58.3918	+	18.4651i	−2.35267	+	0.743980i
$617$	7.12123	−	4.11144i	0.286690	−	0.165520i	−0.349758	−	0.936840i	$-0.613736\pi$
$617$	7.12123	−	4.11144i	0.286690	−	0.165520i	0.636448	+	0.771320i	$0.280403\pi$
$618$	−13.0942	−	20.5854i	−0.526725	−	0.828068i
$619$	−22.2663	+	38.5663i	−0.894957	+	1.55011i	−0.0610991	+	0.998132i	$0.519461\pi$
$619$	−22.2663	+	38.5663i	−0.894957	+	1.55011i	−0.833858	+	0.551979i	$0.813873\pi$
$620$	7.37266	+	5.82279i	0.296093	+	0.233849i
$621$	0.935744	+	0.789883i	0.0375501	+	0.0316969i
$622$	25.1380	−	12.1790i	1.00794	−	0.488332i
$623$	−29.6567	+	51.3668i	−1.18817	+	2.05797i
$624$	14.0651	−	5.12161i	0.563055	−	0.205028i
$625$	−0.500000	−	0.866025i	−0.0200000	−	0.0346410i
$626$	20.7177	+	14.0536i	0.828047	+	0.561696i
$627$	−32.7151	−	14.1500i	−1.30652	−	0.565096i
$628$	−0.728507	+	0.289893i	−0.0290706	+	0.0115680i
$629$	12.2677			0.489145
$630$	19.2156	−	3.06769i	0.765567	−	0.122220i
$631$			2.02785i			0.0807273i	0.999185	+	0.0403637i	$0.0128516\pi$
$631$			2.02785i			0.0807273i	−0.999185	+	0.0403637i	$0.987148\pi$
$632$	−22.0837	+	24.1410i	−0.878442	+	0.960279i
$633$	1.01556	+	1.36693i	0.0403649	+	0.0543306i
$634$	−6.27098	−	4.25385i	−0.249053	−	0.168942i
$635$	−7.81958	+	4.51464i	−0.310311	+	0.179158i
$636$	27.4247	+	0.809420i	1.08746	+	0.0320956i
$637$	26.2625	+	15.1627i	1.04056	+	0.600767i
$638$	16.5462	+	34.1522i	0.655071	+	1.35210i
$639$	2.48662	−	0.584194i	0.0983692	−	0.0231103i
$640$	11.3122	−	0.186847i	0.447153	−	0.00738577i
$641$	−22.2376	−	12.8389i	−0.878332	−	0.507105i	−0.00822364	−	0.999966i	$-0.502618\pi$
$641$	−22.2376	−	12.8389i	−0.878332	−	0.507105i	−0.870108	+	0.492861i	$0.835951\pi$
$642$	−17.8257	+	0.765812i	−0.703525	+	0.0302242i
$643$	3.54072	+	6.13270i	0.139632	+	0.241850i	0.927357	−	0.374177i	$-0.122075\pi$
$643$	3.54072	+	6.13270i	0.139632	+	0.241850i	−0.787725	+	0.616027i	$0.788741\pi$
$644$	−0.312104	+	2.13912i	−0.0122986	+	0.0842930i
$645$	9.03435	−	1.04699i	0.355727	−	0.0412252i
$646$	−7.60439	−	0.551831i	−0.299191	−	0.0217115i
$647$	48.6780			1.91373			0.956865	−	0.290533i	$-0.0938325\pi$
$647$	48.6780			1.91373			0.956865	+	0.290533i	$0.0938325\pi$
$648$	6.15421	+	24.7007i	0.241760	+	0.970336i
$649$	55.5907			2.18213
$650$	3.04743	+	0.221144i	0.119530	+	0.00867399i
$651$	−37.0681	+	4.29582i	−1.45281	+	0.168366i
$652$	48.7451	+	7.11207i	1.90901	+	0.278530i
$653$	1.32043	+	2.28705i	0.0516724	+	0.0894993i	0.890705	−	0.454582i	$-0.150211\pi$
$653$	1.32043	+	2.28705i	0.0516724	+	0.0894993i	−0.839032	+	0.544082i	$0.816878\pi$
$654$	6.27727	−	0.269679i	0.245461	−	0.0105453i
$655$	0.986098	+	0.569324i	0.0385300	+	0.0222453i
$656$	28.4886	−	6.78582i	1.11229	−	0.264942i
$657$	31.1818	−	7.32568i	1.21652	−	0.285802i
$658$	5.99315	+	12.3702i	0.233637	+	0.482239i
$659$	3.04662	+	1.75896i	0.118679	+	0.0685195i	0.558165	−	0.829730i	$-0.311506\pi$
$659$	3.04662	+	1.75896i	0.118679	+	0.0685195i	−0.439485	+	0.898250i	$0.644839\pi$
$660$	0.482452	−	16.3464i	0.0187794	−	0.636283i
$661$	−3.44771	+	1.99053i	−0.134100	+	0.0774228i	−0.565549	−	0.824715i	$-0.691336\pi$
$661$	−3.44771	+	1.99053i	−0.134100	+	0.0774228i	0.431449	+	0.902137i	$0.358002\pi$
$662$	−30.2470	−	20.5177i	−1.17558	−	0.797443i
$663$	−2.76007	−	3.71502i	−0.107192	−	0.144279i
$664$	5.18120	−	5.66389i	0.201070	−	0.219801i
$665$			19.9935i			0.775315i
$666$	41.5576	−	6.63450i	1.61032	−	0.257081i
$667$	1.33957			0.0518683
$668$	2.22556	+	5.59290i	0.0861097	+	0.216396i
$669$	−19.0048	−	8.21997i	−0.734767	−	0.317802i
$670$	17.5988	+	11.9379i	0.679899	+	0.461201i
$671$	−17.1054	−	29.6274i	−0.660346	−	1.14375i
$672$	−31.2970	+	32.2485i	−1.20731	+	1.24401i
$673$	8.00949	−	13.8728i	0.308743	−	0.534759i	−0.669345	−	0.742952i	$-0.733425\pi$
$673$	8.00949	−	13.8728i	0.308743	−	0.534759i	0.978088	+	0.208193i	$0.0667583\pi$
$674$	20.9563	−	10.1530i	0.807207	−	0.391079i
$675$	−0.917345	+	5.11454i	−0.0353086	+	0.196859i
$676$	10.3284	−	13.0775i	0.397246	−	0.502982i
$677$	0.225619	−	0.390784i	0.00867125	−	0.0150190i	−0.861657	−	0.507491i	$-0.830573\pi$
$677$	0.225619	−	0.390784i	0.00867125	−	0.0150190i	0.870328	+	0.492472i	$0.163906\pi$
$678$	−0.472786	−	0.743270i	−0.0181572	−	0.0285451i
$679$	6.48561	−	3.74447i	0.248895	−	0.143700i
$680$	−1.05471	−	3.33528i	−0.0404462	−	0.127902i
$681$	31.3658	+	13.5664i	1.20194	+	0.519865i
$682$	−2.26982	+	31.2787i	−0.0869158	+	1.19772i
$683$			23.3047i			0.891728i	0.895101	+	0.445864i	$0.147104\pi$
$683$			23.3047i			0.891728i	−0.895101	+	0.445864i	$0.852896\pi$
$684$	−26.0588	+	2.24317i	−0.996384	+	0.0857699i
$685$			3.91744i			0.149678i
$686$	−45.5185	−	3.30316i	−1.73791	−	0.126115i
$687$	1.18125	−	0.877611i	0.0450676	−	0.0334829i
$688$	−15.2612	+	14.4307i	−0.581828	+	0.550167i
$689$	−14.8194	+	8.55598i	−0.564574	+	0.325957i
$690$	−0.511850	−	0.266907i	−0.0194858	−	0.0101610i
$691$	−4.50424	+	7.80158i	−0.171349	+	0.296786i	−0.938892	−	0.344212i	$-0.888146\pi$
$691$	−4.50424	+	7.80158i	−0.171349	+	0.296786i	0.767542	+	0.640998i	$0.221479\pi$
$692$	12.3665	−	15.6581i	0.470104	−	0.595232i
$693$	44.4833	+	47.3351i	1.68978	+	1.79811i
$694$	−9.28383	−	19.1623i	−0.352409	−	0.727390i
$695$	5.70435	−	9.88022i	0.216378	−	0.374778i
$696$	22.5738	+	16.3054i	0.855658	+	0.618053i
$697$	−4.52738	−	7.84166i	−0.171487	−	0.297024i
$698$	−6.42428	+	9.47063i	−0.243163	+	0.358468i
$699$	5.37907	+	46.4153i	0.203455	+	1.75559i
$700$	−8.52302	+	3.39154i	−0.322140	+	0.128188i
$701$	−10.3925			−0.392520			−0.196260	−	0.980552i	$-0.562880\pi$
$701$	−10.3925			−0.392520			−0.196260	+	0.980552i	$0.562880\pi$
$702$	−11.3591	−	11.0922i	−0.428720	−	0.418648i
$703$			43.2400i			1.63083i
$704$	21.7144	+	30.9001i	0.818392	+	1.16459i
$705$	−3.64608	+	0.422544i	−0.137319	+	0.0159139i
$706$	7.48895	−	11.0401i	0.281850	−	0.415501i
$707$	−10.2376	+	5.91068i	−0.385025	+	0.222294i
$708$	35.9130	−	19.3448i	1.34969	−	0.727023i
$709$	22.1577	+	12.7927i	0.832149	+	0.480442i	0.854588	−	0.519307i	$-0.173810\pi$
$709$	22.1577	+	12.7927i	0.832149	+	0.480442i	−0.0224386	+	0.999748i	$0.507143\pi$
$710$	−1.08364	+	0.525006i	−0.0406682	+	0.0197031i
$711$	33.2254	+	10.0180i	1.24605	+	0.375706i
$712$	35.7172	+	7.88666i	1.33856	+	0.295565i
$713$	0.958696	+	0.553503i	0.0359035	+	0.0207289i
$714$	12.3200	+	6.42435i	0.461066	+	0.240425i
$715$	5.09976	+	8.83305i	0.190720	+	0.330337i
$716$	3.22243	−	22.0861i	0.120428	−	0.825396i
$717$	−14.4395	−	19.4353i	−0.539252	−	0.725826i
$718$	2.95989	−	40.7882i	0.110462	−	1.52220i
$719$	36.4552			1.35955			0.679774	−	0.733422i	$-0.262078\pi$
$719$	36.4552			1.35955			0.679774	+	0.733422i	$0.262078\pi$
$720$	−5.37665	−	10.7281i	−0.200376	−	0.399812i
$721$	−45.6820			−1.70129
$722$	0.000268363	−	0.00369813i	9.98745e−6	−	0.000137630i
$723$	9.82678	−	22.7198i	0.365462	−	0.844958i
$724$	−1.38717	+	9.50747i	−0.0515538	+	0.353342i
$725$	2.84210	+	4.92266i	0.105553	+	0.182823i
$726$	23.3268	−	14.8379i	0.865739	−	0.550687i
$727$	21.4834	+	12.4034i	0.796774	+	0.460018i	0.842342	−	0.538943i	$-0.181176\pi$
$727$	21.4834	+	12.4034i	0.796774	+	0.460018i	−0.0455677	+	0.998961i	$0.514510\pi$
$728$	6.04318	−	27.3684i	0.223975	−	1.01434i
$729$	20.7849	−	17.2333i	0.769811	−	0.638272i
$730$	−13.5886	+	6.58348i	−0.502937	+	0.243665i
$731$	5.62403	+	3.24703i	0.208012	+	0.120096i
$732$	−21.3605	−	13.1876i	−0.789505	−	0.487428i
$733$	−27.3108	+	15.7679i	−1.00875	+	0.582400i	−0.910824	−	0.412794i	$-0.864553\pi$
$733$	−27.3108	+	15.7679i	−1.00875	+	0.582400i	−0.0979219	+	0.995194i	$0.531220\pi$
$734$	−24.8332	+	36.6089i	−0.916611	+	1.35126i
$735$	9.65105	−	22.3135i	0.355985	−	0.823046i
$736$	1.31580	−	0.214229i	0.0485010	−	0.00789659i
$737$			70.9880i			2.61488i
$738$	−19.5777	−	24.1157i	−0.720664	−	0.887711i
$739$	20.1619			0.741668			0.370834	−	0.928699i	$-0.379072\pi$
$739$	20.1619			0.741668			0.370834	+	0.928699i	$0.379072\pi$
$740$	−18.4327	+	7.33489i	−0.677601	+	0.269636i
$741$	13.0944	−	9.72846i	0.481034	−	0.357384i
$742$	28.8394	−	42.5148i	1.05873	−	1.56077i
$743$	−0.498520	−	0.863461i	−0.0182889	−	0.0316773i	0.856736	−	0.515755i	$-0.172489\pi$
$743$	−0.498520	−	0.863461i	−0.0182889	−	0.0316773i	−0.875025	+	0.484078i	$0.839155\pi$
$744$	9.41822	+	20.9967i	0.345289	+	0.769778i
$745$	9.86802	−	17.0919i	0.361536	−	0.626199i
$746$	12.6905	+	26.1939i	0.464633	+	0.959026i
$747$	−7.79523	−	2.35040i	−0.285213	−	0.0859966i
$748$	7.23737	−	9.16375i	0.264624	−	0.335060i
$749$	−16.7041	+	28.9324i	−0.610356	+	1.05717i
$750$	−0.105136	−	2.44723i	−0.00383902	−	0.0893603i
$751$	−37.7503	+	21.7951i	−1.37753	+	0.795316i	−0.991861	−	0.127323i	$-0.959362\pi$
$751$	−37.7503	+	21.7951i	−1.37753	+	0.795316i	−0.385666	+	0.922639i	$0.626028\pi$
$752$	6.15912	−	5.82396i	0.224600	−	0.212378i
$753$	1.93536	+	16.7000i	0.0705286	+	0.608583i
$754$	−17.3222	−	1.25703i	−0.630837	−	0.0457782i
$755$		−	6.14737i		−	0.223726i
$756$	45.2093	+	15.1001i	1.64425	+	0.549186i
$757$		−	5.54083i		−	0.201385i	−0.994918	−	0.100692i	$-0.967894\pi$
$757$		−	5.54083i		−	0.201385i	0.994918	−	0.100692i	$-0.0321058\pi$
$758$	0.117811	−	1.62346i	0.00427907	−	0.0589668i
$759$	−0.221833	−	1.91417i	−0.00805201	−	0.0694799i
$760$	11.7559	−	3.71754i	0.426431	−	0.134849i
$761$	−23.1798	+	13.3829i	−0.840267	+	0.485128i	−0.857355	−	0.514726i	$-0.827894\pi$
$761$	−23.1798	+	13.3829i	−0.840267	+	0.485128i	0.0170880	+	0.999854i	$0.494560\pi$
$762$	−22.0967	+	0.949300i	−0.800480	+	0.0343895i
$763$	5.88232	−	10.1885i	0.212954	−	0.368847i
$764$	−0.356164	+	0.450964i	−0.0128856	+	0.0163153i
$765$	−2.70373	+	2.54084i	−0.0977537	+	0.0918643i
$766$	0.0612542	−	0.0296767i	0.00221320	−	0.00107226i
$767$	−12.7207	+	22.0329i	−0.459318	+	0.795562i
$768$	24.7809	+	12.4060i	0.894203	+	0.447661i
$769$	−1.93609	−	3.35341i	−0.0698174	−	0.120927i	0.829003	−	0.559244i	$-0.188908\pi$
$769$	−1.93609	−	3.35341i	−0.0698174	−	0.120927i	−0.898821	+	0.438316i	$0.855575\pi$
$770$	−25.3408	−	17.1896i	−0.913219	−	0.619471i
$771$	26.4161	−	19.6258i	0.951351	−	0.706806i
$772$	−1.76736	−	4.44141i	−0.0636085	−	0.159850i
$773$	−26.7361			−0.961632			−0.480816	−	0.876821i	$-0.659660\pi$
$773$	−26.7361			−0.961632			−0.480816	+	0.876821i	$0.659660\pi$
$774$	20.8078	+	7.95801i	0.747921	+	0.286045i
$775$			4.69737i			0.168734i
$776$	−3.40761	−	3.11721i	−0.122326	−	0.111901i
$777$	31.2817	−	72.3242i	1.12223	−	2.59461i
$778$	−23.7299	−	16.0969i	−0.850757	−	0.577101i
$779$	27.6396	−	15.9577i	0.990290	−	0.571744i
$780$	6.36836	+	3.93173i	0.228024	+	0.140778i
$781$	−3.48101	−	2.00976i	−0.124560	−	0.0719150i
$782$	−0.179717	−	0.370945i	−0.00642667	−	0.0132650i
$783$	5.21437	−	29.0720i	0.186346	−	1.03895i
$784$	13.0093	+	54.6163i	0.464618	+	1.95058i
$785$	−0.339511	−	0.196017i	−0.0121177	−	0.00699614i
$786$	1.49694	+	2.35335i	0.0533942	+	0.0839414i
$787$	4.82568	+	8.35833i	0.172017	+	0.297942i	0.939125	−	0.343576i	$-0.111638\pi$
$787$	4.82568	+	8.35833i	0.172017	+	0.297942i	−0.767108	+	0.641518i	$0.778305\pi$
$788$	21.4088	+	3.12361i	0.762657	+	0.111274i
$789$	−17.4355	+	40.3115i	−0.620722	+	1.43513i
$790$	−16.3162	−	1.18402i	−0.580504	−	0.0421257i
$791$	−1.64942			−0.0586466
$792$	19.5612	−	34.9569i	0.695078	−	1.24214i
$793$	15.6568			0.555988
$794$	−23.3874	−	1.69716i	−0.829987	−	0.0602300i
$795$	8.18123	+	11.0118i	0.290158	+	0.390549i
$796$	−1.47418	+	10.1038i	−0.0522510	+	0.358121i
$797$	12.7189	+	22.0298i	0.450528	+	0.780337i	0.998419	−	0.0562130i	$-0.0179026\pi$
$797$	12.7189	+	22.0298i	0.450528	+	0.780337i	−0.547891	+	0.836550i	$0.684569\pi$
$798$	−22.6440	+	43.4246i	−0.801588	+	1.53721i
$799$	−2.26974	−	1.31044i	−0.0802978	−	0.0463600i
$800$	3.57892	+	4.38079i	0.126534	+	0.154884i
$801$	−8.87304	−	37.7681i	−0.313513	−	1.33447i
$802$	−12.9035	−	26.6334i	−0.455637	−	0.940457i
$803$	−43.6512	−	25.2021i	−1.54042	−	0.889361i
$804$	24.7029	+	45.8601i	0.871203	+	1.61736i
$805$	−0.936072	+	0.540441i	−0.0329922	+	0.0190481i
$806$	−11.8777	−	8.05707i	−0.418373	−	0.283798i
$807$	18.3042	−	2.12128i	0.644340	−	0.0746724i
$808$	5.37895	+	4.92054i	0.189231	+	0.173104i
$809$			10.7268i			0.377134i	0.982060	+	0.188567i	$0.0603843\pi$
$809$			10.7268i			0.377134i	−0.982060	+	0.188567i	$0.939616\pi$
$810$	−7.78496	+	10.0695i	−0.273536	+	0.353805i
$811$	5.16201			0.181263			0.0906314	−	0.995885i	$-0.471111\pi$
$811$	5.16201			0.181263			0.0906314	+	0.995885i	$0.471111\pi$
$812$	48.4465	−	19.2782i	1.70014	−	0.676531i
$813$	4.56862	+	39.4221i	0.160229	+	1.38259i
$814$	−54.8046	−	37.1760i	−1.92090	−	1.30302i
$815$	12.3153	+	21.3307i	0.431386	+	0.747183i
$816$	1.48667	−	8.43853i	0.0520437	−	0.295408i
$817$	−11.4449	+	19.8231i	−0.400405	+	0.693521i
$818$	−21.9636	+	10.6410i	−0.767940	+	0.372055i
$819$	−28.9399	+	6.79899i	−1.01124	+	0.237576i
$820$	11.4912	+	9.07551i	0.401288	+	0.316931i
$821$	9.71181	−	16.8213i	0.338944	−	0.587069i	−0.645290	−	0.763938i	$-0.723263\pi$
$821$	9.71181	−	16.8213i	0.338944	−	0.587069i	0.984234	+	0.176869i	$0.0565968\pi$
$822$	−4.43676	+	8.50842i	−0.154750	+	0.296765i
$823$	29.5617	−	17.0675i	1.03046	−	0.594935i	0.113342	−	0.993556i	$-0.463845\pi$
$823$	29.5617	−	17.0675i	1.03046	−	0.594935i	0.917116	+	0.398621i	$0.130511\pi$
$824$	8.49398	+	26.8603i	0.295902	+	0.935723i
$825$	6.56355	−	4.87639i	0.228513	−	0.169774i
$826$	5.52816	−	76.1796i	0.192349	−	2.65063i
$827$			21.1098i			0.734061i	0.930209	+	0.367031i	$0.119626\pi$
$827$			21.1098i			0.734061i	−0.930209	+	0.367031i	$0.880374\pi$
$828$	−0.809414	−	1.15941i	−0.0281291	−	0.0402922i
$829$			2.27907i			0.0791554i	0.999216	+	0.0395777i	$0.0126013\pi$
$829$			2.27907i			0.0791554i	−0.999216	+	0.0395777i	$0.987399\pi$
$830$	3.82805	+	0.277791i	0.132873	+	0.00964228i
$831$	24.3715	+	10.5412i	0.845439	+	0.365670i
$832$	−17.2159	+	1.53551i	−0.596853	+	0.0532343i
$833$	15.0335	−	8.67959i	0.520880	−	0.300730i
$834$	23.5795	−	14.9986i	0.816490	−	0.519360i
$835$	−1.50486	+	2.60649i	−0.0520778	+	0.0902014i
$836$	32.2996	+	25.5096i	1.11710	+	0.882269i
$837$	15.7442	−	18.6516i	0.544200	−	0.644693i
$838$	8.89356	+	18.3567i	0.307223	+	0.634123i
$839$	−20.2338	+	35.0460i	−0.698548	+	1.20992i	0.270421	+	0.962742i	$0.412837\pi$
$839$	−20.2338	+	35.0460i	−0.698548	+	1.20992i	−0.968970	+	0.247179i	$0.920496\pi$
$840$	−22.3526	−	2.28668i	−0.771237	−	0.0788981i
$841$	−1.65503	−	2.86660i	−0.0570700	−	0.0988481i
$842$	−21.3257	+	31.4381i	−0.734931	+	1.08343i
$843$	−17.0794	−	7.38720i	−0.588246	−	0.254429i
$844$	−0.727013	−	1.82700i	−0.0250248	−	0.0628880i
$845$	8.33213			0.286634
$846$	−8.39761	−	3.21169i	−0.288716	−	0.110420i
$847$		−	51.7654i		−	1.77868i
$848$	−30.3604	−	9.05205i	−1.04258	−	0.310849i
$849$	18.3617	+	24.7146i	0.630172	+	0.848202i
$850$	0.981854	−	1.44744i	0.0336773	−	0.0496468i
$851$	−2.02444	+	1.16881i	−0.0693971	+	0.0400664i
$852$	−2.94819	−	0.0870137i	−0.101003	−	0.00298104i
$853$	14.2703	+	8.23893i	0.488604	+	0.282096i	0.723995	−	0.689805i	$-0.242304\pi$
$853$	14.2703	+	8.23893i	0.488604	+	0.282096i	−0.235391	+	0.971901i	$0.575637\pi$
$854$	−42.3014	+	20.4944i	−1.44752	+	0.701303i
$855$	−8.95573	−	9.52987i	−0.306279	−	0.325915i
$856$	20.1177	+	4.44217i	0.687610	+	0.151830i
$857$	−41.2192	−	23.7979i	−1.40802	−	0.812921i	−0.412824	−	0.910811i	$-0.635457\pi$
$857$	−41.2192	−	23.7979i	−1.40802	−	0.812921i	−0.995197	+	0.0978896i	$0.968791\pi$
$858$	1.07234	+	24.9606i	0.0366089	+	0.852141i
$859$	−15.2357	−	26.3890i	−0.519836	−	0.900382i	−0.999734	−	0.0230580i	$-0.992660\pi$
$859$	−15.2357	−	26.3890i	−0.519836	−	0.900382i	0.479898	−	0.877324i	$-0.340674\pi$
$860$	−10.3918	−	1.51619i	−0.354356	−	0.0517017i
$861$	−57.7750	+	6.69554i	−1.96897	+	0.228183i
$862$	1.29409	−	17.8329i	0.0440768	−	0.607391i
$863$	30.4421			1.03626			0.518131	−	0.855301i	$-0.326628\pi$
$863$	30.4421			1.03626			0.518131	+	0.855301i	$0.326628\pi$
$864$	0.472535	−	29.3901i	0.0160760	−	0.999871i
$865$	9.97631			0.339205
$866$	−2.90358	+	40.0122i	−0.0986676	+	1.35967i
$867$	26.6174	−	3.08469i	0.903976	−	0.104762i
$868$	42.6376	+	6.22096i	1.44721	+	0.211153i
$869$	−27.3045	−	47.2928i	−0.926242	−	1.60430i
$870$	0.597613	+	13.9105i	0.0202610	+	0.471612i
$871$	−28.1355	−	16.2440i	−0.953335	−	0.550408i
$872$	−7.08441	−	1.56430i	−0.239908	−	0.0529738i
$873$	−1.41409	+	4.68991i	−0.0478597	+	0.158729i
$874$	1.30747	−	0.633450i	0.0442259	−	0.0214268i
$875$	−3.97204	−	2.29326i	−0.134279	−	0.0775262i
$876$	−36.9698	−	1.09114i	−1.24909	−	0.0368661i
$877$	22.1778	−	12.8044i	0.748892	−	0.432373i	−0.0764015	−	0.997077i	$-0.524343\pi$
$877$	22.1778	−	12.8044i	0.748892	−	0.432373i	0.825293	+	0.564704i	$0.191010\pi$
$878$	1.48519	−	2.18946i	0.0501228	−	0.0738906i
$879$	−28.8957	−	38.8931i	−0.974626	−	1.31183i
$880$	−5.39544	+	18.0962i	−0.181880	+	0.610023i
$881$		−	43.3621i		−	1.46091i	−0.682963	−	0.730453i	$-0.739309\pi$
$881$		−	43.3621i		−	1.46091i	0.682963	−	0.730453i	$-0.260691\pi$
$882$	46.2330	−	37.5330i	1.55674	−	1.26380i
$883$	−15.4645			−0.520421			−0.260210	−	0.965552i	$-0.583792\pi$
$883$	−15.4645			−0.520421			−0.260210	+	0.965552i	$0.583792\pi$
$884$	1.97586	+	4.96539i	0.0664555	+	0.167004i
$885$	18.7199	+	8.09675i	0.629263	+	0.272169i
$886$	30.2064	−	44.5301i	1.01480	−	1.49602i
$887$	−1.66974	−	2.89207i	−0.0560642	−	0.0971061i	0.836631	−	0.547767i	$-0.184522\pi$
$887$	−1.66974	−	2.89207i	−0.0560642	−	0.0971061i	−0.892695	+	0.450661i	$0.851188\pi$
$888$	−48.3419	−	4.94542i	−1.62225	−	0.165957i
$889$	−20.7064	+	35.8646i	−0.694471	+	1.20286i
$890$	7.97406	+	16.4589i	0.267291	+	0.551702i
$891$	−42.4058	−	2.63671i	−1.42065	−	0.0883332i
$892$	18.7634	+	14.8190i	0.628244	+	0.496176i
$893$	4.61891	−	8.00019i	0.154566	−	0.267716i
$894$	40.7904	−	25.9463i	1.36424	−	0.867775i
$895$	9.66482	−	5.57999i	0.323059	−	0.186518i
$896$	44.5038	−	26.6838i	1.48677	−	0.891445i
$897$	0.809426	+	0.350094i	0.0270259	+	0.0116893i
$898$	6.39239	+	0.463879i	0.213317	+	0.0154799i
$899$		−	26.7007i		−	0.890519i
$900$	2.54330	−	5.43430i	0.0847768	−	0.181143i
$901$			9.79544i			0.326333i
$902$	−3.53778	+	48.7516i	−0.117795	+	1.62325i
$903$	33.4838	−	24.8768i	1.11427	−	0.827847i
$904$	0.306689	+	0.969834i	0.0102003	+	0.0322562i
$905$	−4.16044	+	2.40203i	−0.138298	+	0.0798463i
$906$	6.96230	−	13.3517i	0.231307	−	0.443579i
$907$	1.40422	−	2.43218i	0.0466263	−	0.0807592i	−0.841770	−	0.539836i	$-0.818486\pi$
$907$	1.40422	−	2.43218i	0.0466263	−	0.0807592i	0.888397	+	0.459077i	$0.151820\pi$
$908$	−30.9674	−	24.4575i	−1.02769	−	0.811651i
$909$	2.23215	−	7.40306i	0.0740359	−	0.245544i
$910$	12.6116	−	6.11015i	0.418072	−	0.202549i
$911$	−15.6065	+	27.0312i	−0.517066	+	0.895585i	0.482738	+	0.875765i	$0.339642\pi$
$911$	−15.6065	+	27.0312i	−0.517066	+	0.895585i	−0.999804	+	0.0198195i	$0.993691\pi$
$912$	29.7434	+	5.24007i	0.984901	+	0.173516i
$913$	6.40609	+	11.0957i	0.212011	+	0.367213i
$914$	−14.9415	−	10.1354i	−0.494221	−	0.335249i
$915$	−1.44495	−	12.4683i	−0.0477684	−	0.412188i
$916$	−1.57883	+	0.628258i	−0.0521660	+	0.0207582i
$917$	5.22242			0.172460
$918$	−8.75000	+	2.45638i	−0.288793	+	0.0810727i
$919$		−	41.3010i		−	1.36240i	−0.732100	−	0.681198i	$-0.761459\pi$
$919$		−	41.3010i		−	1.36240i	0.732100	−	0.681198i	$-0.238541\pi$
$920$	0.491822	+	0.449908i	0.0162149	+	0.0148330i
$921$	26.4815	−	3.06893i	0.872594	−	0.101125i
$922$	41.8603	+	28.3954i	1.37860	+	0.935154i
$923$	1.59311	−	0.919780i	0.0524377	−	0.0302749i
$924$	−35.5701	−	66.0348i	−1.17017	−	2.17239i
$925$	−8.59033	−	4.95963i	−0.282448	−	0.163072i
$926$	−19.6977	−	40.6569i	−0.647305	−	1.33607i
$927$	21.7742	−	20.4624i	0.715159	−	0.672073i
$928$	−20.3433	−	24.9013i	−0.667801	−	0.817424i
$929$	2.46762	+	1.42468i	0.0809599	+	0.0467422i	0.539933	−	0.841708i	$-0.318449\pi$
$929$	2.46762	+	1.42468i	0.0809599	+	0.0467422i	−0.458974	+	0.888450i	$0.651783\pi$
$930$	−5.32008	+	10.2024i	−0.174452	+	0.334549i
$931$	30.5931	+	52.9887i	1.00265	+	1.73664i
$932$	7.78966	−	53.3893i	0.255159	−	1.74882i
$933$	20.4023	+	27.4612i	0.667941	+	0.899039i
$934$	−1.15247	−	0.0836317i	−0.0377099	−	0.00273651i
$935$	5.83853			0.190940
$936$	9.37871	+	15.7520i	0.306553	+	0.514871i
$937$	33.6983			1.10088			0.550438	−	0.834876i	$-0.314461\pi$
$937$	33.6983			1.10088			0.550438	+	0.834876i	$0.314461\pi$
$938$	97.2795	+	7.05932i	3.17629	+	0.230495i
$939$	−12.1718	+	28.1414i	−0.397211	+	0.918361i
$940$	4.19391	+	0.611904i	0.136790	+	0.0199581i
$941$	12.1325	+	21.0141i	0.395507	+	0.685039i	0.993166	−	0.116712i	$-0.0372355\pi$
$941$	12.1325	+	21.0141i	0.395507	+	0.685039i	−0.597659	+	0.801751i	$0.703902\pi$
$942$	−0.515393	−	0.810254i	−0.0167924	−	0.0263995i
$943$	1.49424	+	0.862700i	0.0486592	+	0.0280934i
$944$	−45.8204	+	10.9142i	−1.49133	+	0.355226i
$945$	8.08521	+	22.4188i	0.263012	+	0.729284i
$946$	−15.2849	−	31.5489i	−0.496956	−	1.02574i
$947$	−31.5042	−	18.1890i	−1.02375	−	0.591062i	−0.108561	−	0.994090i	$-0.534624\pi$
$947$	−31.5042	−	18.1890i	−1.02375	−	0.591062i	−0.915188	+	0.403028i	$0.867958\pi$
$948$	−34.0967	−	21.0508i	−1.10741	−	0.683697i
$949$	19.9772	−	11.5339i	0.648489	−	0.374405i
$950$	5.10181	+	3.46075i	0.165525	+	0.112282i
$951$	3.68423	−	8.51804i	0.119469	−	0.276217i
$952$	−11.8380	−	10.8291i	−0.383671	−	0.350974i
$953$		−	26.2586i		−	0.850598i	−0.905053	−	0.425299i	$-0.860169\pi$
$953$		−	26.2586i		−	0.850598i	0.905053	−	0.425299i	$-0.139831\pi$
$954$	5.29748	+	33.1827i	0.171512	+	1.07433i
$955$	−0.287325			−0.00929760
$956$	10.3368	+	25.9767i	0.334317	+	0.840148i
$957$	−37.3085	+	27.7183i	−1.20601	+	0.896007i
$958$	−40.6627	−	27.5831i	−1.31375	−	0.891169i
$959$	8.98369	+	15.5602i	0.290099	+	0.502466i
$960$	2.81164	+	13.5681i	0.0907452	+	0.437910i
$961$	−4.46738	+	7.73773i	−0.144109	+	0.249604i
$962$	27.2752	−	13.2144i	0.879389	−	0.426050i
$963$	−4.99775	−	21.2729i	−0.161050	−	0.685509i
$964$	−17.7158	+	22.4312i	−0.570586	+	0.722460i
$965$	1.19503	−	2.06986i	0.0384695	−	0.0666311i
$966$	−2.64517	+	0.113640i	−0.0851070	+	0.00365629i
$967$	−42.3417	+	24.4460i	−1.36162	+	0.786130i	−0.989839	−	0.142192i	$-0.954585\pi$
$967$	−42.3417	+	24.4460i	−1.36162	+	0.786130i	−0.371777	+	0.928322i	$0.621251\pi$
$968$	−30.4373	+	9.62512i	−0.978291	+	0.309363i
$969$	−1.07498	−	9.27585i	−0.0345332	−	0.297983i
$970$	0.167130	−	2.30310i	0.00536621	−	0.0739480i
$971$		−	23.9838i		−	0.769678i	−0.922984	−	0.384839i	$-0.874257\pi$
$971$		−	23.9838i		−	0.769678i	0.922984	−	0.384839i	$-0.125743\pi$
$972$	−28.3128	+	13.0533i	−0.908132	+	0.418683i
$973$		−	52.3261i		−	1.67750i
$974$	56.1565	+	4.07513i	1.79937	+	0.130576i
$975$	0.430793	+	3.71726i	0.0137964	+	0.119048i
$976$	19.9158	+	21.0619i	0.637489	+	0.674175i
$977$	−23.1131	+	13.3444i	−0.739455	+	0.426924i	−0.821871	−	0.569674i	$-0.807070\pi$
$977$	−23.1131	+	13.3444i	−0.739455	+	0.426924i	0.0824164	+	0.996598i	$0.473736\pi$
$978$	2.58956	+	60.2768i	0.0828050	+	1.92744i
$979$	−30.5253	+	52.8714i	−0.975593	+	1.68978i
$980$	−17.3990	+	22.0301i	−0.555789	+	0.703724i
$981$	1.75994	+	7.49119i	0.0561906	+	0.239175i
$982$	15.5997	+	32.1986i	0.497808	+	1.02750i
$983$	−21.9816	+	38.0733i	−0.701104	+	1.21435i	0.266975	+	0.963703i	$0.413976\pi$
$983$	−21.9816	+	38.0733i	−0.701104	+	1.21435i	−0.968079	+	0.250645i	$0.919357\pi$
$984$	14.6794	+	32.7259i	0.467962	+	1.04326i
$985$	5.40887	+	9.36843i	0.172341	+	0.298503i
$986$	−5.58105	+	8.22753i	−0.177737	+	0.262018i
$987$	−13.5134	+	10.0398i	−0.430135	+	0.319569i
$988$	−17.5016	+	6.96435i	−0.556799	+	0.221565i
$989$	−1.23745			−0.0393488
$990$	19.7784	−	3.15754i	0.628600	−	0.100353i
$991$		−	43.4855i		−	1.38136i	−0.723159	−	0.690682i	$-0.757311\pi$
$991$		−	43.4855i		−	1.38136i	0.723159	−	0.690682i	$-0.242689\pi$
$992$	−4.27009	−	26.2270i	−0.135575	−	0.832707i
$993$	17.7703	−	41.0853i	0.563922	−	1.30380i
$994$	−3.10028	+	4.57040i	−0.0983348	+	0.144964i
$995$	−4.42142	+	2.55271i	−0.140168	+	0.0809262i
$996$	7.99965	+	4.93886i	0.253478	+	0.156494i
$997$	−5.50039	−	3.17565i	−0.174199	−	0.100574i	0.410365	−	0.911921i	$-0.365401\pi$
$997$	−5.50039	−	3.17565i	−0.174199	−	0.100574i	−0.584564	+	0.811347i	$0.698735\pi$
$998$	14.6421	−	7.09386i	0.463487	−	0.224552i
$999$	17.4859	+	48.4852i	0.553230	+	1.53401i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	360.2.bm.a.11.13	✓	48
3.2	odd	2		1080.2.bm.b.251.12		48
4.3	odd	2		1440.2.cc.a.911.1		48
8.3	odd	2		360.2.bm.b.11.5	yes	48
8.5	even	2		1440.2.cc.b.911.1		48
9.4	even	3		1080.2.bm.a.611.20		48
9.5	odd	6		360.2.bm.b.131.5	yes	48
12.11	even	2		4320.2.cc.b.1871.23		48
24.5	odd	2		4320.2.cc.a.1871.2		48
24.11	even	2		1080.2.bm.a.251.20		48
36.23	even	6		1440.2.cc.b.1391.1		48
36.31	odd	6		4320.2.cc.a.3311.2		48
72.5	odd	6		1440.2.cc.a.1391.1		48
72.13	even	6		4320.2.cc.b.3311.23		48
72.59	even	6	inner	360.2.bm.a.131.13	yes	48
72.67	odd	6		1080.2.bm.b.611.12		48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
360.2.bm.a.11.13	✓	48	1.1	even	1	trivial
360.2.bm.a.131.13	yes	48	72.59	even	6	inner
360.2.bm.b.11.5	yes	48	8.3	odd	2
360.2.bm.b.131.5	yes	48	9.5	odd	6
1080.2.bm.a.251.20		48	24.11	even	2
1080.2.bm.a.611.20		48	9.4	even	3
1080.2.bm.b.251.12		48	3.2	odd	2
1080.2.bm.b.611.12		48	72.67	odd	6
1440.2.cc.a.911.1		48	4.3	odd	2
1440.2.cc.a.1391.1		48	72.5	odd	6
1440.2.cc.b.911.1		48	8.5	even	2
1440.2.cc.b.1391.1		48	36.23	even	6
4320.2.cc.a.1871.2		48	24.5	odd	2
4320.2.cc.a.3311.2		48	36.31	odd	6
4320.2.cc.b.1871.23		48	12.11	even	2
4320.2.cc.b.3311.23		48	72.13	even	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 360 = 2^{3} \cdot 3^{2} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	360.bm (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.102357 - 1.41050i) q^{2} +(1.72054 - 0.199393i) q^{3} +(-1.97905 - 0.288749i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-0.105136 - 2.44723i) q^{6} +(-3.97204 - 2.29326i) q^{7} +(-0.609850 + 2.76190i) q^{8} +(2.92049 - 0.686124i) q^{9} +O(q^{10})\)	\(q+(0.102357 - 1.41050i) q^{2} +(1.72054 - 0.199393i) q^{3} +(-1.97905 - 0.288749i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-0.105136 - 2.44723i) q^{6} +(-3.97204 - 2.29326i) q^{7} +(-0.609850 + 2.76190i) q^{8} +(2.92049 - 0.686124i) q^{9} +(-1.27271 + 0.616609i) q^{10} +(-4.08838 - 2.36043i) q^{11} +(-3.46259 - 0.102196i) q^{12} +(1.87107 - 1.08026i) q^{13} +(-3.64121 + 5.36784i) q^{14} +(-1.03295 - 1.39033i) q^{15} +(3.83325 + 1.14290i) q^{16} -1.23675i q^{17} +(-0.668850 - 4.18959i) q^{18} +4.35920 q^{19} +(0.739459 + 1.85828i) q^{20} +(-7.29129 - 3.15363i) q^{21} +(-3.74786 + 5.52507i) q^{22} +(0.117833 + 0.204092i) q^{23} +(-0.498567 + 4.87354i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(-1.33220 - 2.74973i) q^{26} +(4.88799 - 1.76282i) q^{27} +(7.19867 + 5.68538i) q^{28} +(2.84210 - 4.92266i) q^{29} +(-2.06680 + 1.31467i) q^{30} +(4.06804 - 2.34868i) q^{31} +(2.00442 - 5.28983i) q^{32} +(-7.50485 - 3.24600i) q^{33} +(-1.74445 - 0.126590i) q^{34} +4.58651i q^{35} +(-5.97789 + 0.514584i) q^{36} +9.91926i q^{37} +(0.446193 - 6.14867i) q^{38} +(3.00385 - 2.23171i) q^{39} +(2.69680 - 0.852803i) q^{40} +(6.34052 - 3.66070i) q^{41} +(-5.19453 + 9.96160i) q^{42} +(-2.62545 + 4.54741i) q^{43} +(7.40952 + 5.85191i) q^{44} +(-2.05444 - 2.18615i) q^{45} +(0.299934 - 0.145313i) q^{46} +(1.05958 - 1.83524i) q^{47} +(6.82312 + 1.20207i) q^{48} +(7.01804 + 12.1556i) q^{49} +(1.17035 + 0.793896i) q^{50} +(-0.246600 - 2.12788i) q^{51} +(-4.01486 + 1.59762i) q^{52} -7.92028 q^{53} +(-1.98615 - 7.07497i) q^{54} +4.72085i q^{55} +(8.75609 - 9.57181i) q^{56} +(7.50016 - 0.869192i) q^{57} +(-6.65252 - 4.51266i) q^{58} +(-10.1979 + 5.88778i) q^{59} +(1.64279 + 3.04979i) q^{60} +(6.27586 + 3.62337i) q^{61} +(-2.89644 - 5.97839i) q^{62} +(-13.1737 - 3.97211i) q^{63} +(-7.25617 - 3.36869i) q^{64} +(-1.87107 - 1.08026i) q^{65} +(-5.34668 + 10.2534i) q^{66} +(-7.51856 - 13.0225i) q^{67} +(-0.357112 + 2.44759i) q^{68} +(0.243430 + 0.327653i) q^{69} +(6.46930 + 0.469460i) q^{70} +0.851441 q^{71} +(0.113946 + 8.48452i) q^{72} +10.6769 q^{73} +(13.9912 + 1.01530i) q^{74} +(-0.687589 + 1.58972i) q^{75} +(-8.62706 - 1.25871i) q^{76} +(10.8261 + 18.7514i) q^{77} +(-2.84037 - 4.46537i) q^{78} +(10.0179 + 5.78381i) q^{79} +(-0.926848 - 3.89114i) q^{80} +(8.05847 - 4.00763i) q^{81} +(-4.51444 - 9.31802i) q^{82} +(-2.35035 - 1.35698i) q^{83} +(13.5192 + 8.34654i) q^{84} +(-1.07106 + 0.618377i) q^{85} +(6.14541 + 4.16866i) q^{86} +(3.90839 - 9.03630i) q^{87} +(9.01256 - 9.85218i) q^{88} -12.9321i q^{89} +(-3.29386 + 2.67403i) q^{90} -9.90928 q^{91} +(-0.174265 - 0.437932i) q^{92} +(6.53089 - 4.85213i) q^{93} +(-2.48016 - 1.68239i) q^{94} +(-2.17960 - 3.77518i) q^{95} +(2.39392 - 9.50101i) q^{96} +(-0.816409 + 1.41406i) q^{97} +(17.8639 - 8.65477i) q^{98} +(-13.5596 - 4.08846i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q - 24 q^{5} + 7 q^{6} - 6 q^{8}+O(q^{10}) \) 48 * q - 24 * q^5 + 7 * q^6 - 6 * q^8	\( 48 q - 24 q^{5} + 7 q^{6} - 6 q^{8} - 15 q^{12} + 15 q^{14} + 12 q^{16} - 11 q^{18} - 4 q^{21} + 21 q^{22} - 24 q^{24} - 24 q^{25} + 12 q^{27} - 14 q^{30} - 8 q^{33} + 33 q^{34} - 23 q^{36} - 33 q^{38} + 16 q^{39} - 6 q^{40} + 12 q^{41} - 53 q^{42} - 24 q^{44} - 6 q^{46} + 12 q^{47} + 45 q^{48} + 24 q^{49} - 20 q^{51} - 36 q^{52} - 36 q^{54} + 21 q^{56} + 4 q^{57} - 51 q^{58} - 36 q^{59} + 15 q^{60} + 12 q^{61} + 42 q^{62} + 56 q^{63} - 12 q^{64} + 24 q^{66} + 57 q^{68} - 40 q^{69} - 15 q^{70} + 46 q^{72} + 30 q^{74} + 57 q^{76} + 78 q^{78} - 8 q^{81} - 18 q^{82} - 60 q^{83} - 31 q^{84} + 27 q^{86} + 36 q^{87} + 57 q^{88} + 4 q^{90} - 51 q^{92} + 57 q^{94} - 119 q^{96} + 42 q^{98} - 16 q^{99}+O(q^{100}) \) 48 * q - 24 * q^5 + 7 * q^6 - 6 * q^8 - 15 * q^12 + 15 * q^14 + 12 * q^16 - 11 * q^18 - 4 * q^21 + 21 * q^22 - 24 * q^24 - 24 * q^25 + 12 * q^27 - 14 * q^30 - 8 * q^33 + 33 * q^34 - 23 * q^36 - 33 * q^38 + 16 * q^39 - 6 * q^40 + 12 * q^41 - 53 * q^42 - 24 * q^44 - 6 * q^46 + 12 * q^47 + 45 * q^48 + 24 * q^49 - 20 * q^51 - 36 * q^52 - 36 * q^54 + 21 * q^56 + 4 * q^57 - 51 * q^58 - 36 * q^59 + 15 * q^60 + 12 * q^61 + 42 * q^62 + 56 * q^63 - 12 * q^64 + 24 * q^66 + 57 * q^68 - 40 * q^69 - 15 * q^70 + 46 * q^72 + 30 * q^74 + 57 * q^76 + 78 * q^78 - 8 * q^81 - 18 * q^82 - 60 * q^83 - 31 * q^84 + 27 * q^86 + 36 * q^87 + 57 * q^88 + 4 * q^90 - 51 * q^92 + 57 * q^94 - 119 * q^96 + 42 * q^98 - 16 * q^99

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