LMFDB - Embedded newform 360.2.bm.a.11.1

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			11.1
Character	$\chi$	$=$	360.11
Dual form			360.2.bm.a.131.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.40729 + 0.139770i) q^{2} +(1.36390 + 1.06761i) q^{3} +(1.96093 - 0.393394i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-2.06862 - 1.31180i) q^{6} +(1.02179 + 0.589933i) q^{7} +(-2.70461 + 0.827699i) q^{8} +(0.720424 + 2.91221i) q^{9} +O(q^{10})$	\(q+(-1.40729 + 0.139770i) q^{2} +(1.36390 + 1.06761i) q^{3} +(1.96093 - 0.393394i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-2.06862 - 1.31180i) q^{6} +(1.02179 + 0.589933i) q^{7} +(-2.70461 + 0.827699i) q^{8} +(0.720424 + 2.91221i) q^{9} +(0.824689 + 1.14886i) q^{10} +(1.46604 + 0.846417i) q^{11} +(3.09449 + 1.55696i) q^{12} +(0.622400 - 0.359343i) q^{13} +(-1.52042 - 0.687390i) q^{14} +(0.242628 - 1.71497i) q^{15} +(3.69048 - 1.54284i) q^{16} +4.05527i q^{17} +(-1.42089 - 3.99763i) q^{18} +5.64306 q^{19} +(-1.32115 - 1.50152i) q^{20} +(0.763803 + 1.89548i) q^{21} +(-2.18144 - 0.986246i) q^{22} +(-2.06520 - 3.57703i) q^{23} +(-4.57246 - 1.75857i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(-0.825672 + 0.592693i) q^{26} +(-2.12652 + 4.74109i) q^{27} +(2.23574 + 0.754849i) q^{28} +(1.77305 - 3.07101i) q^{29} +(-0.101746 + 2.44738i) q^{30} +(-0.580112 + 0.334928i) q^{31} +(-4.97794 + 2.68704i) q^{32} +(1.09588 + 2.71958i) q^{33} +(-0.566805 - 5.70693i) q^{34} -1.17987i q^{35} +(2.55835 + 5.42723i) q^{36} +11.3000i q^{37} +(-7.94142 + 0.788731i) q^{38} +(1.23253 + 0.174373i) q^{39} +(2.06911 + 1.92841i) q^{40} +(0.943354 - 0.544646i) q^{41} +(-1.33982 - 2.56074i) q^{42} +(1.39038 - 2.40820i) q^{43} +(3.20777 + 1.08303i) q^{44} +(2.16184 - 2.08001i) q^{45} +(3.40630 + 4.74527i) q^{46} +(-2.66393 + 4.61407i) q^{47} +(6.68058 + 1.83572i) q^{48} +(-2.80396 - 4.85660i) q^{49} +(0.582600 - 1.28863i) q^{50} +(-4.32944 + 5.53096i) q^{51} +(1.07912 - 0.949495i) q^{52} +9.15371 q^{53} +(2.32997 - 6.96931i) q^{54} -1.69283i q^{55} +(-3.25184 - 0.749801i) q^{56} +(7.69655 + 6.02458i) q^{57} +(-2.06596 + 4.56963i) q^{58} +(6.11816 - 3.53232i) q^{59} +(-0.198884 - 3.45839i) q^{60} +(2.33213 + 1.34646i) q^{61} +(0.769572 - 0.552423i) q^{62} +(-0.981886 + 3.40068i) q^{63} +(6.62983 - 4.47720i) q^{64} +(-0.622400 - 0.359343i) q^{65} +(-1.92234 - 3.67406i) q^{66} +(-7.74884 - 13.4214i) q^{67} +(1.59532 + 7.95209i) q^{68} +(1.00215 - 7.08353i) q^{69} +(0.164910 + 1.66041i) q^{70} -10.1211 q^{71} +(-4.35890 - 7.28011i) q^{72} -7.59376 q^{73} +(-1.57941 - 15.9024i) q^{74} +(-1.60652 + 0.647364i) q^{75} +(11.0656 - 2.21995i) q^{76} +(0.998659 + 1.72973i) q^{77} +(-1.75889 - 0.0731235i) q^{78} +(-11.3263 - 6.53925i) q^{79} +(-3.18138 - 2.42463i) q^{80} +(-7.96198 + 4.19606i) q^{81} +(-1.25145 + 0.898327i) q^{82} +(-12.0184 - 6.93884i) q^{83} +(2.24344 + 3.41643i) q^{84} +(3.51196 - 2.02763i) q^{85} +(-1.62007 + 3.58337i) q^{86} +(5.69690 - 2.29562i) q^{87} +(-4.66564 - 1.07579i) q^{88} +4.96883i q^{89} +(-2.75161 + 3.22934i) q^{90} +0.847953 q^{91} +(-5.45690 - 6.20187i) q^{92} +(-1.14878 - 0.162526i) q^{93} +(3.10402 - 6.86567i) q^{94} +(-2.82153 - 4.88703i) q^{95} +(-9.65809 - 1.64965i) q^{96} +(-0.862865 + 1.49453i) q^{97} +(4.62479 + 6.44273i) q^{98} +(-1.40878 + 4.87919i) 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 $

$2$	−1.40729	+	0.139770i	−0.995104	+	0.0988324i
$2$	−1.40729	+	0.139770i	−0.995104	+	0.0988324i
$3$	1.36390	+	1.06761i	0.787446	+	0.616384i
$3$	1.36390	+	1.06761i	0.787446	+	0.616384i
$4$	1.96093	−	0.393394i	0.980464	−	0.196697i
$5$	−0.500000	−	0.866025i	−0.223607	−	0.387298i
$5$	−0.500000	−	0.866025i	−0.223607	−	0.387298i
$6$	−2.06862	−	1.31180i	−0.844509	−	0.535541i
$7$	1.02179	+	0.589933i	0.386202	+	0.222974i	0.680513	−	0.732736i	$-0.261757\pi$
$7$	1.02179	+	0.589933i	0.386202	+	0.222974i	−0.294311	+	0.955710i	$0.595090\pi$
$8$	−2.70461	+	0.827699i	−0.956224	+	0.292636i
$9$	0.720424	+	2.91221i	0.240141	+	0.970738i
$10$	0.824689	+	1.14886i	0.260790	+	0.363303i
$11$	1.46604	+	0.846417i	0.442027	+	0.255204i	0.704457	−	0.709747i	$-0.251191\pi$
$11$	1.46604	+	0.846417i	0.442027	+	0.255204i	−0.262430	+	0.964951i	$0.584524\pi$
$12$	3.09449	+	1.55696i	0.893303	+	0.449454i
$13$	0.622400	−	0.359343i	0.172623	−	0.0996638i	−0.411199	−	0.911546i	$-0.634890\pi$
$13$	0.622400	−	0.359343i	0.172623	−	0.0996638i	0.583822	+	0.811882i	$0.301557\pi$
$14$	−1.52042	−	0.687390i	−0.406348	−	0.183713i
$15$	0.242628	−	1.71497i	0.0626463	−	0.442804i
$16$	3.69048	−	1.54284i	0.922621	−	0.385709i
$17$			4.05527i			0.983547i	0.870723	+	0.491773i	$0.163651\pi$
$17$			4.05527i			0.983547i	−0.870723	+	0.491773i	$0.836349\pi$
$18$	−1.42089	−	3.99763i	−0.334906	−	0.942252i
$19$	5.64306			1.29461			0.647303	−	0.762232i	$-0.275897\pi$
$19$	5.64306			1.29461			0.647303	+	0.762232i	$0.275897\pi$
$20$	−1.32115	−	1.50152i	−0.295419	−	0.335749i
$21$	0.763803	+	1.89548i	0.166675	+	0.413628i
$22$	−2.18144	−	0.986246i	−0.465085	−	0.210268i
$23$	−2.06520	−	3.57703i	−0.430624	−	0.745863i	0.566303	−	0.824197i	$-0.308373\pi$
$23$	−2.06520	−	3.57703i	−0.430624	−	0.745863i	−0.996927	+	0.0783339i	$0.975040\pi$
$24$	−4.57246	−	1.75857i	−0.933350	−	0.358967i
$25$	−0.500000	+	0.866025i	−0.100000	+	0.173205i
$26$	−0.825672	+	0.592693i	−0.161928	+	0.116237i
$27$	−2.12652	+	4.74109i	−0.409249	+	0.912423i
$28$	2.23574	+	0.754849i	0.422515	+	0.142653i
$29$	1.77305	−	3.07101i	0.329247	−	0.570273i	−0.653115	−	0.757258i	$-0.726538\pi$
$29$	1.77305	−	3.07101i	0.329247	−	0.570273i	0.982363	+	0.186985i	$0.0598717\pi$
$30$	−0.101746	+	2.44738i	−0.0185762	+	0.446828i
$31$	−0.580112	+	0.334928i	−0.104191	+	0.0601548i	−0.551190	−	0.834380i	$-0.685826\pi$
$31$	−0.580112	+	0.334928i	−0.104191	+	0.0601548i	0.446999	+	0.894534i	$0.352493\pi$
$32$	−4.97794	+	2.68704i	−0.879983	+	0.475005i
$33$	1.09588	+	2.71958i	0.190768	+	0.473418i
$34$	−0.566805	−	5.70693i	−0.0972063	−	0.978731i
$35$		−	1.17987i		−	0.199434i
$36$	2.55835	+	5.42723i	0.426391	+	0.904539i
$37$			11.3000i			1.85772i	0.370437	+	0.928858i	$0.379208\pi$
$37$			11.3000i			1.85772i	−0.370437	+	0.928858i	$0.620792\pi$
$38$	−7.94142	+	0.788731i	−1.28827	+	0.127949i
$39$	1.23253	+	0.174373i	0.197362	+	0.0279221i
$40$	2.06911	+	1.92841i	0.327156	+	0.304909i
$41$	0.943354	−	0.544646i	0.147327	−	0.0850593i	−0.424524	−	0.905416i	$-0.639559\pi$
$41$	0.943354	−	0.544646i	0.147327	−	0.0850593i	0.571851	+	0.820357i	$0.306225\pi$
$42$	−1.33982	−	2.56074i	−0.206739	−	0.395130i
$43$	1.39038	−	2.40820i	0.212030	−	0.367247i	−0.740320	−	0.672255i	$-0.765326\pi$
$43$	1.39038	−	2.40820i	0.212030	−	0.367247i	0.952350	+	0.305008i	$0.0986591\pi$
$44$	3.20777	+	1.08303i	0.483590	+	0.163273i
$45$	2.16184	−	2.08001i	0.322268	−	0.310070i
$46$	3.40630	+	4.74527i	0.502232	+	0.699652i
$47$	−2.66393	+	4.61407i	−0.388575	+	0.673031i	−0.992258	−	0.124193i	$-0.960366\pi$
$47$	−2.66393	+	4.61407i	−0.388575	+	0.673031i	0.603683	+	0.797224i	$0.293699\pi$
$48$	6.68058	+	1.83572i	0.964258	+	0.264964i
$49$	−2.80396	−	4.85660i	−0.400565	−	0.693800i
$50$	0.582600	−	1.28863i	0.0823921	−	0.182240i
$51$	−4.32944	+	5.53096i	−0.606242	+	0.774490i
$52$	1.07912	−	0.949495i	0.149647	−	0.131671i
$53$	9.15371			1.25736			0.628680	−	0.777664i	$-0.283596\pi$
$53$	9.15371			1.25736			0.628680	+	0.777664i	$0.283596\pi$
$54$	2.32997	−	6.96931i	0.317069	−	0.948403i
$55$		−	1.69283i		−	0.228262i
$56$	−3.25184	−	0.749801i	−0.434545	−	0.100196i
$57$	7.69655	+	6.02458i	1.01943	+	0.797975i
$58$	−2.06596	+	4.56963i	−0.271274	+	0.600021i
$59$	6.11816	−	3.53232i	0.796516	−	0.459869i	−0.0457354	−	0.998954i	$-0.514563\pi$
$59$	6.11816	−	3.53232i	0.796516	−	0.459869i	0.842251	+	0.539085i	$0.181230\pi$
$60$	−0.198884	−	3.45839i	−0.0256758	−	0.446476i
$61$	2.33213	+	1.34646i	0.298599	+	0.172396i	0.641813	−	0.766861i	$-0.278182\pi$
$61$	2.33213	+	1.34646i	0.298599	+	0.172396i	−0.343214	+	0.939257i	$0.611516\pi$
$62$	0.769572	−	0.552423i	0.0977358	−	0.0701577i
$63$	−0.981886	+	3.40068i	−0.123706	+	0.428446i
$64$	6.62983	−	4.47720i	0.828729	−	0.559651i
$65$	−0.622400	−	0.359343i	−0.0771993	−	0.0445710i
$66$	−1.92234	−	3.67406i	−0.236623	−	0.452246i
$67$	−7.74884	−	13.4214i	−0.946672	−	1.63968i	−0.752369	−	0.658742i	$-0.771089\pi$
$67$	−7.74884	−	13.4214i	−0.946672	−	1.63968i	−0.194303	−	0.980942i	$-0.562244\pi$
$68$	1.59532	+	7.95209i	0.193461	+	0.964332i
$69$	1.00215	−	7.08353i	0.120645	−	0.852757i
$70$	0.164910	+	1.66041i	0.0197105	+	0.198457i
$71$	−10.1211			−1.20115			−0.600576	−	0.799568i	$-0.705062\pi$
$71$	−10.1211			−1.20115			−0.600576	+	0.799568i	$0.705062\pi$
$72$	−4.35890	−	7.28011i	−0.513701	−	0.857969i
$73$	−7.59376			−0.888782			−0.444391	−	0.895833i	$-0.646580\pi$
$73$	−7.59376			−0.888782			−0.444391	+	0.895833i	$0.646580\pi$
$74$	−1.57941	−	15.9024i	−0.183602	−	1.84862i
$75$	−1.60652	+	0.647364i	−0.185505	+	0.0747512i
$76$	11.0656	−	2.21995i	1.26932	−	0.254645i
$77$	0.998659	+	1.72973i	0.113808	+	0.197121i
$78$	−1.75889	−	0.0731235i	−0.199156	−	0.00827961i
$79$	−11.3263	−	6.53925i	−1.27431	−	0.735723i	−0.298514	−	0.954405i	$-0.596491\pi$
$79$	−11.3263	−	6.53925i	−1.27431	−	0.735723i	−0.975796	+	0.218682i	$0.929824\pi$
$80$	−3.18138	−	2.42463i	−0.355689	−	0.271082i
$81$	−7.96198	+	4.19606i	−0.884664	+	0.466229i
$82$	−1.25145	+	0.898327i	−0.138199	+	0.0992036i
$83$	−12.0184	−	6.93884i	−1.31919	−	0.761637i	−0.335595	−	0.942006i	$-0.608937\pi$
$83$	−12.0184	−	6.93884i	−1.31919	−	0.761637i	−0.983599	+	0.180369i	$0.942271\pi$
$84$	2.24344	+	3.41643i	0.244779	+	0.372763i
$85$	3.51196	−	2.02763i	0.380926	−	0.219928i
$86$	−1.62007	+	3.58337i	−0.174696	+	0.386405i
$87$	5.69690	−	2.29562i	0.610772	−	0.246116i
$88$	−4.66564	−	1.07579i	−0.497359	−	0.114680i
$89$			4.96883i			0.526695i	0.964701	+	0.263347i	$0.0848265\pi$
$89$			4.96883i			0.526695i	−0.964701	+	0.263347i	$0.915173\pi$
$90$	−2.75161	+	3.22934i	−0.290045	+	0.340402i
$91$	0.847953			0.0888896
$92$	−5.45690	−	6.20187i	−0.568921	−	0.646590i
$93$	−1.14878	−	0.162526i	−0.119123	−	0.0168531i
$94$	3.10402	−	6.86567i	0.320155	−	0.708140i
$95$	−2.82153	−	4.88703i	−0.289483	−	0.501399i
$96$	−9.65809	−	1.64965i	−0.985724	−	0.168367i
$97$	−0.862865	+	1.49453i	−0.0876107	+	0.151746i	−0.906501	−	0.422204i	$-0.861256\pi$
$97$	−0.862865	+	1.49453i	−0.0876107	+	0.151746i	0.818890	+	0.573950i	$0.194590\pi$
$98$	4.62479	+	6.44273i	0.467174	+	0.650814i
$99$	−1.40878	+	4.87919i	−0.141588	+	0.490377i
$100$	−0.639775	+	1.89491i	−0.0639775	+	0.189491i
$101$	6.41428	−	11.1099i	0.638244	−	1.10547i	−0.347573	−	0.937653i	$-0.612994\pi$
$101$	6.41428	−	11.1099i	0.638244	−	1.10547i	0.985818	−	0.167819i	$-0.0536724\pi$
$102$	5.31971	−	8.38879i	0.526730	−	0.830614i
$103$	4.07102	−	2.35040i	0.401129	−	0.231592i	−0.285842	−	0.958277i	$-0.592273\pi$
$103$	4.07102	−	2.35040i	0.401129	−	0.231592i	0.686971	+	0.726685i	$0.258940\pi$
$104$	−1.38592	+	1.48704i	−0.135901	+	0.145817i
$105$	1.25963	−	1.60921i	0.122928	−	0.157043i
$106$	−12.8819	+	1.27942i	−1.25120	+	0.124268i
$107$		−	10.3904i		−	1.00448i	−0.864728	−	0.502240i	$-0.832509\pi$
$107$		−	10.3904i		−	1.00448i	0.864728	−	0.502240i	$-0.167491\pi$
$108$	−2.30484	+	10.1335i	−0.221783	+	0.975096i
$109$		−	12.0084i		−	1.15020i	−0.818085	−	0.575098i	$-0.804964\pi$
$109$		−	12.0084i		−	1.15020i	0.818085	−	0.575098i	$-0.195036\pi$
$110$	0.236608	+	2.38231i	0.0225597	+	0.227144i
$111$	−12.0640	+	15.4121i	−1.14507	+	1.46285i
$112$	4.68108	+	0.600677i	0.442321	+	0.0567587i
$113$	5.20551	−	3.00540i	0.489693	−	0.282725i	−0.234754	−	0.972055i	$-0.575428\pi$
$113$	5.20551	−	3.00540i	0.489693	−	0.282725i	0.724447	+	0.689330i	$0.242095\pi$
$114$	−11.6733	−	7.40258i	−1.09331	−	0.693315i
$115$	−2.06520	+	3.57703i	−0.192581	+	0.333560i
$116$	2.26871	−	6.71955i	0.210644	−	0.623894i
$117$	1.49488	+	1.55368i	0.138201	+	0.143638i
$118$	−8.11631	+	5.82613i	−0.747166	+	0.536339i
$119$	−2.39234	+	4.14365i	−0.219305	+	0.379847i
$120$	0.763266	+	4.83916i	0.0696764	+	0.441752i
$121$	−4.06716	−	7.04452i	−0.369741	−	0.640411i
$122$	−3.47018	−	1.56889i	−0.314175	−	0.142041i
$123$	1.86810	+	0.264293i	0.168441	+	0.0238305i
$124$	−1.00580	+	0.884982i	−0.0903234	+	0.0794737i
$125$	1.00000			0.0894427
$126$	0.906484	−	4.92299i	0.0807560	−	0.438574i
$127$			0.294527i			0.0261350i	0.999915	+	0.0130675i	$0.00415964\pi$
$127$			0.294527i			0.0261350i	−0.999915	+	0.0130675i	$0.995840\pi$
$128$	−8.70431	+	7.22738i	−0.769360	+	0.638816i
$129$	4.46734	−	1.80016i	0.393328	−	0.158495i
$130$	0.926123	+	0.418707i	0.0812264	+	0.0367230i
$131$	14.7549	−	8.51875i	1.28914	−	0.744287i	0.310641	−	0.950527i	$-0.399456\pi$
$131$	14.7549	−	8.51875i	1.28914	−	0.744287i	0.978501	+	0.206241i	$0.0661230\pi$
$132$	3.21881	+	4.90179i	0.280161	+	0.426646i
$133$	5.76604	+	3.32903i	0.499979	+	0.288663i
$134$	12.7808	+	17.8047i	1.10409	+	1.53809i
$135$	5.16916	−	0.528923i	0.444891	−	0.0455224i
$136$	−3.35654	−	10.9679i	−0.287821	−	0.940491i
$137$	11.4836	+	6.63009i	0.981114	+	0.566447i	0.902606	−	0.430467i	$-0.141651\pi$
$137$	11.4836	+	6.63009i	0.981114	+	0.566447i	0.0785079	+	0.996913i	$0.474984\pi$
$138$	−0.420253	+	10.1087i	−0.0357743	+	0.860505i
$139$	−5.95041	−	10.3064i	−0.504707	−	0.874179i	−0.999985	−	0.00544412i	$-0.998267\pi$
$139$	−5.95041	−	10.3064i	−0.504707	−	0.874179i	0.495278	−	0.868735i	$-0.335066\pi$
$140$	−0.464152	−	2.31363i	−0.0392280	−	0.195538i
$141$	−8.55935	+	3.44907i	−0.720827	+	0.290464i
$142$	14.2433	−	1.41463i	1.19527	−	0.118713i
$143$	1.21662			0.101739
$144$	7.15178	+	9.63598i	0.595982	+	0.802998i
$145$	−3.54610			−0.294488
$146$	10.6866	−	1.06138i	0.884431	−	0.0878405i
$147$	1.36064	−	9.61742i	0.112224	−	0.793232i
$148$	4.44537	+	22.1586i	0.365407	+	1.82142i
$149$	9.19823	+	15.9318i	0.753548	+	1.30518i	0.946093	+	0.323896i	$0.104993\pi$
$149$	9.19823	+	15.9318i	0.753548	+	1.30518i	−0.192545	+	0.981288i	$0.561674\pi$
$150$	2.17036	−	1.13557i	0.177209	−	0.0927192i
$151$	−0.302444	−	0.174616i	−0.0246126	−	0.0142101i	0.487643	−	0.873043i	$-0.337857\pi$
$151$	−0.302444	−	0.174616i	−0.0246126	−	0.0142101i	−0.512256	+	0.858833i	$0.671190\pi$
$152$	−15.2623	+	4.67075i	−1.23793	+	0.378848i
$153$	−11.8098	+	2.92151i	−0.954766	+	0.236190i
$154$	−1.64717	−	2.29465i	−0.132732	−	0.184908i
$155$	0.580112	+	0.334928i	0.0465957	+	0.0269020i
$156$	2.48549	−	0.142935i	0.198999	−	0.0114440i
$157$	−18.6531	+	10.7693i	−1.48868	+	0.859488i	−0.999916	−	0.0129307i	$-0.995884\pi$
$157$	−18.6531	+	10.7693i	−1.48868	+	0.859488i	−0.488760	+	0.872418i	$0.662551\pi$
$158$	16.8534	+	7.61954i	1.34078	+	0.606178i
$159$	12.4847	+	9.77258i	0.990102	+	0.775016i
$160$	4.81601	+	2.96750i	0.380739	+	0.234602i
$161$		−	4.87332i		−	0.384072i
$162$	10.6183	−	7.01792i	0.834255	−	0.551380i
$163$	7.31335			0.572826			0.286413	−	0.958106i	$-0.407537\pi$
$163$	7.31335			0.572826			0.286413	+	0.958106i	$0.407537\pi$
$164$	1.63559	−	1.43912i	0.127718	−	0.112376i
$165$	1.80728	−	2.30885i	0.140697	−	0.179744i
$166$	17.8833	+	8.08515i	1.38801	+	0.627529i
$167$	−7.04946	−	12.2100i	−0.545504	−	0.944840i	−0.998575	−	0.0533657i	$-0.983005\pi$
$167$	−7.04946	−	12.2100i	−0.545504	−	0.944840i	0.453071	−	0.891474i	$-0.350328\pi$
$168$	−3.63468	−	4.49434i	−0.280422	−	0.346746i
$169$	−6.24175	+	10.8110i	−0.480134	+	0.831617i
$170$	−4.65895	+	3.34434i	−0.357325	+	0.256499i
$171$	4.06540	+	16.4338i	0.310889	+	1.25672i
$172$	1.77905	−	5.26927i	0.135652	−	0.401778i
$173$	8.65925	−	14.9983i	0.658351	−	1.14030i	−0.322692	−	0.946504i	$-0.604588\pi$
$173$	8.65925	−	14.9983i	0.658351	−	1.14030i	0.981043	−	0.193793i	$-0.0620789\pi$
$174$	−7.69633	+	4.02686i	−0.583457	+	0.305275i
$175$	−1.02179	+	0.589933i	−0.0772404	+	0.0445947i
$176$	6.71627	+	0.861833i	0.506258	+	0.0649631i
$177$	12.1157	+	1.71408i	0.910669	+	0.128838i
$178$	−0.694493	−	6.99258i	−0.0520545	−	0.524116i
$179$			4.99037i			0.372998i	0.982455	+	0.186499i	$0.0597141\pi$
$179$			4.99037i			0.372998i	−0.982455	+	0.186499i	$0.940286\pi$
$180$	3.42095	−	4.92921i	0.254982	−	0.367402i
$181$			20.6992i			1.53856i	0.638911	+	0.769281i	$0.279385\pi$
$181$			20.6992i			1.53856i	−0.638911	+	0.769281i	$0.720615\pi$
$182$	−1.19332	+	0.118519i	−0.0884544	+	0.00878518i
$183$	1.74330	+	4.32623i	0.128868	+	0.319804i
$184$	8.54627	+	7.96512i	0.630040	+	0.587196i
$185$	9.78612	−	5.65002i	0.719490	−	0.415398i
$186$	1.63939	+	0.0681552i	0.120206	+	0.00499738i
$187$	−3.43245	+	5.94517i	−0.251005	+	0.434754i
$188$	−3.40864	+	10.0958i	−0.248600	+	0.736315i
$189$	−4.96979	+	3.58991i	−0.361499	+	0.261127i
$190$	4.65377	+	6.48311i	0.337620	+	0.470334i
$191$	−9.61931	+	16.6611i	−0.696029	+	1.20556i	0.273803	+	0.961786i	$0.411718\pi$
$191$	−9.61931	+	16.6611i	−0.696029	+	1.20556i	−0.969833	+	0.243772i	$0.921615\pi$
$192$	13.8223	+	0.971622i	0.997539	+	0.0701208i
$193$	−10.6944	−	18.5233i	−0.769801	−	1.33333i	−0.937671	−	0.347525i	$-0.887022\pi$
$193$	−10.6944	−	18.5233i	−0.769801	−	1.33333i	0.167870	−	0.985809i	$-0.446311\pi$
$194$	1.00541	−	2.22383i	0.0721843	−	0.159662i
$195$	−0.465252	−	1.15459i	−0.0333174	−	0.0826816i
$196$	−7.40892	−	8.42038i	−0.529208	−	0.601456i
$197$	−18.9347			−1.34904			−0.674522	−	0.738255i	$-0.735650\pi$
$197$	−18.9347			−1.34904			−0.674522	+	0.738255i	$0.735650\pi$
$198$	1.30059	−	7.06334i	0.0924292	−	0.501970i
$199$		−	24.2052i		−	1.71586i	−0.513765	−	0.857931i	$-0.671750\pi$
$199$		−	24.2052i		−	1.71586i	0.513765	−	0.857931i	$-0.328250\pi$
$200$	0.635497	−	2.75611i	0.0449364	−	0.194886i
$201$	3.76017	−	26.5781i	0.265222	−	1.87467i
$202$	−7.47392	+	16.5313i	−0.525863	+	1.16314i
$203$	3.62339	−	2.09196i	0.254312	−	0.146827i
$204$	−6.31387	+	12.5490i	−0.442059	+	0.878605i
$205$	−0.943354	−	0.544646i	−0.0658867	−	0.0380397i
$206$	−5.40058	+	3.87670i	−0.376276	+	0.270103i
$207$	8.92927	−	8.59129i	0.620627	−	0.597136i
$208$	1.74255	−	2.28641i	0.120824	−	0.158534i
$209$	8.27294	+	4.77638i	0.572251	+	0.330389i
$210$	−1.54775	+	2.44069i	−0.106805	+	0.168424i
$211$	9.25728	+	16.0341i	0.637297	+	1.10383i	0.986023	+	0.166606i	$0.0532810\pi$
$211$	9.25728	+	16.0341i	0.637297	+	1.10383i	−0.348726	+	0.937225i	$0.613386\pi$
$212$	17.9498	−	3.60102i	1.23280	−	0.247319i
$213$	−13.8041	−	10.8054i	−0.945842	−	0.740371i
$214$	1.45227	+	14.6223i	0.0992751	+	0.999562i
$215$	−2.78075			−0.189646
$216$	1.82722	−	14.5829i	0.124326	−	0.992241i
$217$	−0.790340			−0.0536517
$218$	1.67841	+	16.8993i	0.113677	+	1.14456i
$219$	−10.3571	−	8.10716i	−0.699868	−	0.547831i
$220$	−0.665951	−	3.31953i	−0.0448984	−	0.223802i
$221$	1.45723	+	2.52400i	0.0980240	+	0.169783i
$222$	14.8234	−	23.3755i	0.994883	−	1.56886i
$223$	10.3230	+	5.95998i	0.691278	+	0.399110i	0.804091	−	0.594507i	$-0.202653\pi$
$223$	10.3230	+	5.95998i	0.691278	+	0.399110i	−0.112813	+	0.993616i	$0.535986\pi$
$224$	−6.67159	−	0.191052i	−0.445765	−	0.0127652i
$225$	−2.88226	−	0.832201i	−0.192151	−	0.0554801i
$226$	−6.90560	+	4.95705i	−0.459354	+	0.329738i
$227$	−9.34236	−	5.39382i	−0.620074	−	0.358000i	0.156824	−	0.987627i	$-0.449875\pi$
$227$	−9.34236	−	5.39382i	−0.620074	−	0.358000i	−0.776898	+	0.629627i	$0.783208\pi$
$228$	17.4624	+	8.78599i	1.15648	+	0.581867i
$229$	−22.7576	+	13.1391i	−1.50386	+	0.868257i	−0.503875	+	0.863777i	$0.668093\pi$
$229$	−22.7576	+	13.1391i	−1.50386	+	0.868257i	−0.999990	+	0.00448002i	$0.998574\pi$
$230$	2.40638	−	5.32258i	0.158672	−	0.350960i
$231$	−0.484605	+	3.42535i	−0.0318847	+	0.225371i
$232$	−2.25354	+	9.77345i	−0.147952	+	0.641658i
$233$			9.55605i			0.626037i	0.949747	+	0.313019i	$0.101340\pi$
$233$			9.55605i			0.626037i	−0.949747	+	0.313019i	$0.898660\pi$
$234$	−2.32088	−	1.97754i	−0.151721	−	0.129276i
$235$	5.32787			0.347552
$236$	10.6077	−	9.33347i	0.690501	−	0.607557i
$237$	−8.46656	−	21.0109i	−0.549962	−	1.36481i
$238$	2.78755	−	6.16569i	0.180690	−	0.399662i
$239$	11.6389	+	20.1591i	0.752856	+	1.30398i	0.946433	+	0.322899i	$0.104658\pi$
$239$	11.6389	+	20.1591i	0.752856	+	1.30398i	−0.193578	+	0.981085i	$0.562009\pi$
$240$	−1.75051	−	6.70341i	−0.112995	−	0.432703i
$241$	−3.37713	+	5.84936i	−0.217540	+	0.376791i	−0.954055	−	0.299630i	$-0.903137\pi$
$241$	−3.37713	+	5.84936i	−0.217540	+	0.376791i	0.736515	+	0.676421i	$0.236470\pi$
$242$	6.70828	+	9.34521i	0.431225	+	0.600733i
$243$	−15.3391	−	2.77729i	−0.984001	−	0.178163i
$244$	5.10283	+	1.72286i	0.326676	+	0.110295i
$245$	−2.80396	+	4.85660i	−0.179138	+	0.310277i
$246$	−2.66590	−	0.110831i	−0.169972	−	0.00706634i
$247$	3.51224	−	2.02779i	0.223479	−	0.129025i
$248$	1.29176	−	1.38601i	0.0820266	−	0.0880115i
$249$	−8.98392	−	22.2948i	−0.569333	−	1.41288i
$250$	−1.40729	+	0.139770i	−0.0890048	+	0.00883984i
$251$			8.53803i			0.538916i	0.963012	+	0.269458i	$0.0868445\pi$
$251$			8.53803i			0.538916i	−0.963012	+	0.269458i	$0.913155\pi$
$252$	−0.587599	+	7.05477i	−0.0370153	+	0.444409i
$253$		−	6.99209i		−	0.439589i
$254$	−0.0411660	−	0.414485i	−0.00258299	−	0.0260071i
$255$	6.95467	+	0.983922i	0.435518	+	0.0616156i
$256$	11.2393	−	11.3876i	0.702457	−	0.711726i
$257$	−7.26049	+	4.19184i	−0.452897	+	0.261480i	−0.709053	−	0.705155i	$-0.750877\pi$
$257$	−7.26049	+	4.19184i	−0.452897	+	0.261480i	0.256156	+	0.966635i	$0.417544\pi$
$258$	−6.03524	+	3.15775i	−0.375737	+	0.196593i
$259$	−6.66627	+	11.5463i	−0.414222	+	0.717453i
$260$	−1.36185	−	0.459797i	−0.0844581	−	0.0285154i
$261$	10.2208	+	2.95107i	0.632652	+	0.182667i
$262$	−19.5738	+	14.0506i	−1.20927	+	0.868052i
$263$	11.9363	−	20.6742i	0.736022	−	1.27483i	−0.218252	−	0.975892i	$-0.570035\pi$
$263$	11.9363	−	20.6742i	0.736022	−	1.27483i	0.954274	−	0.298935i	$-0.0966312\pi$
$264$	−5.21492	−	6.44834i	−0.320956	−	0.396868i
$265$	−4.57686	−	7.92735i	−0.281154	−	0.486973i
$266$	−8.57979	−	3.87899i	−0.526061	−	0.237836i
$267$	−5.30476	+	6.77696i	−0.324646	+	0.414743i
$268$	−20.4748	−	23.2700i	−1.25070	−	1.42144i
$269$	−2.11822			−0.129150			−0.0645752	−	0.997913i	$-0.520569\pi$
$269$	−2.11822			−0.129150			−0.0645752	+	0.997913i	$0.520569\pi$
$270$	−7.20058	+	1.46684i	−0.438213	+	0.0892692i
$271$			3.47151i			0.210879i	0.994426	+	0.105440i	$0.0336250\pi$
$271$			3.47151i			0.210879i	−0.994426	+	0.105440i	$0.966375\pi$
$272$	6.25661	+	14.9659i	0.379363	+	0.907440i
$273$	1.15652	+	0.905282i	0.0699958	+	0.0547902i
$274$	−17.0875	−	7.72538i	−1.03229	−	0.466707i
$275$	−1.46604	+	0.846417i	−0.0884054	+	0.0510409i
$276$	−0.821470	−	14.2845i	−0.0494467	−	0.859828i
$277$	15.4700	+	8.93161i	0.929502	+	0.536648i	0.886654	−	0.462433i	$-0.153024\pi$
$277$	15.4700	+	8.93161i	0.929502	+	0.536648i	0.0428481	+	0.999082i	$0.486357\pi$
$278$	9.81448	+	13.6724i	0.588634	+	0.820017i
$279$	−1.39331	−	1.44812i	−0.0834151	−	0.0866966i
$280$	0.976574	+	3.19108i	0.0583614	+	0.190703i
$281$	−6.19927	−	3.57915i	−0.369817	−	0.213514i	0.303561	−	0.952812i	$-0.401824\pi$
$281$	−6.19927	−	3.57915i	−0.369817	−	0.213514i	−0.673379	+	0.739298i	$0.735158\pi$
$282$	11.5634	−	6.05019i	0.688591	−	0.360283i
$283$	7.40809	+	12.8312i	0.440365	+	0.762735i	0.997716	−	0.0675418i	$-0.0215156\pi$
$283$	7.40809	+	12.8312i	0.440365	+	0.762735i	−0.557351	+	0.830277i	$0.688182\pi$
$284$	−19.8467	+	3.98158i	−1.17769	+	0.236263i
$285$	1.36917	−	9.67769i	0.0811023	−	0.573257i
$286$	−1.71213	+	0.170047i	−0.101240	+	0.0100551i
$287$	1.28522			0.0758640
$288$	−11.4114	−	12.5610i	−0.672426	−	0.740164i
$289$	0.554813			0.0326361
$290$	4.99039	−	0.495639i	0.293046	−	0.0291049i
$291$	−2.77243	+	1.11718i	−0.162523	+	0.0654900i
$292$	−14.8908	+	2.98734i	−0.871419	+	0.174821i
$293$	−2.14191	−	3.70990i	−0.125132	−	0.216735i	0.796653	−	0.604437i	$-0.206602\pi$
$293$	−2.14191	−	3.70990i	−0.125132	−	0.216735i	−0.921784	+	0.387703i	$0.873269\pi$
$294$	−0.570584	+	13.7247i	−0.0332771	+	0.800439i
$295$	−6.11816	−	3.53232i	−0.356213	−	0.205660i
$296$	−9.35303	−	30.5622i	−0.543634	−	1.77639i
$297$	−7.13050	+	5.15069i	−0.413753	+	0.298873i
$298$	−15.1714	−	21.1350i	−0.878853	−	1.22432i
$299$	−2.57076	−	1.48423i	−0.148671	−	0.0858353i
$300$	−2.89561	+	1.90143i	−0.167178	+	0.109779i
$301$	2.84135	−	1.64046i	0.163773	−	0.0945543i
$302$	0.450033	+	0.203463i	0.0258965	+	0.0117080i
$303$	20.6094	−	8.30475i	1.18398	−	0.477095i
$304$	20.8256	−	8.70631i	1.19443	−	0.499341i
$305$		−	2.69292i		−	0.154196i
$306$	16.2115	−	5.76207i	0.926748	−	0.329396i
$307$	6.72522			0.383828			0.191914	−	0.981412i	$-0.438530\pi$
$307$	6.72522			0.383828			0.191914	+	0.981412i	$0.438530\pi$
$308$	2.63876	+	2.99901i	0.150357	+	0.170884i
$309$	8.06175	+	1.14055i	0.458617	+	0.0648835i
$310$	−0.863198	−	0.390258i	−0.0490264	−	0.0221652i
$311$	1.29216	+	2.23808i	0.0732715	+	0.126910i	0.900333	−	0.435201i	$-0.143323\pi$
$311$	1.29216	+	2.23808i	0.0732715	+	0.126910i	−0.827062	+	0.562111i	$0.809989\pi$
$312$	−3.47783	+	0.548549i	−0.196894	+	0.0310555i
$313$	3.48570	−	6.03740i	0.197023	−	0.341254i	−0.750539	−	0.660826i	$-0.770206\pi$
$313$	3.48570	−	6.03740i	0.197023	−	0.341254i	0.947562	+	0.319572i	$0.103539\pi$
$314$	24.7450	−	17.7627i	1.39644	−	1.00241i
$315$	3.43602	−	0.850004i	0.193598	−	0.0478923i
$316$	−24.7826	−	8.36730i	−1.39413	−	0.470697i
$317$	0.840946	−	1.45656i	0.0472322	−	0.0818086i	−0.841443	−	0.540346i	$-0.818293\pi$
$317$	0.840946	−	1.45656i	0.0472322	−	0.0818086i	0.888675	+	0.458538i	$0.151627\pi$
$318$	−18.9355	−	12.0079i	−1.06185	−	0.673368i
$319$	5.19872	−	3.00148i	0.291072	−	0.168051i
$320$	−7.19229	−	3.50300i	−0.402061	−	0.195824i
$321$	11.0929	−	14.1714i	0.619145	−	0.790973i
$322$	0.681145	+	6.85818i	0.0379587	+	0.382191i
$323$			22.8841i			1.27331i
$324$	−13.9622	+	11.3604i	−0.775676	+	0.631131i
$325$			0.718686i			0.0398655i
$326$	−10.2920	+	1.02219i	−0.570021	+	0.0566137i
$327$	12.8203	−	16.3782i	0.708962	−	0.905716i
$328$	−2.10060	+	2.25387i	−0.115986	+	0.124449i
$329$	−5.44398	+	3.14309i	−0.300137	+	0.173284i
$330$	−2.22066	+	3.50182i	−0.122244	+	0.192769i
$331$	−1.29513	+	2.24323i	−0.0711868	+	0.123299i	−0.899422	−	0.437082i	$-0.856012\pi$
$331$	−1.29513	+	2.24323i	−0.0711868	+	0.123299i	0.828235	+	0.560381i	$0.189345\pi$
$332$	−26.2970	−	8.87860i	−1.44323	−	0.487276i
$333$	−32.9081	+	8.14082i	−1.80335	+	0.446114i
$334$	11.6272	+	16.1977i	0.636214	+	0.886301i
$335$	−7.74884	+	13.4214i	−0.423364	+	0.733289i
$336$	5.74322	+	5.81682i	0.313318	+	0.317334i
$337$	5.84149	+	10.1178i	0.318206	+	0.551150i	0.980114	−	0.198436i	$-0.0635862\pi$
$337$	5.84149	+	10.1178i	0.318206	+	0.551150i	−0.661907	+	0.749586i	$0.730253\pi$
$338$	7.27289	−	16.0866i	0.395593	−	0.874998i
$339$	10.3084	+	1.45839i	0.559874	+	0.0792089i
$340$	6.08905	−	5.35763i	0.330225	−	0.290558i
$341$	−1.13395			−0.0614071
$342$	−8.01814	−	22.5589i	−0.433572	−	1.21985i
$343$		−	14.8757i		−	0.803210i
$344$	−1.76716	+	7.66405i	−0.0952788	+	0.413218i
$345$	−6.63559	+	2.67388i	−0.357248	+	0.143957i
$346$	−10.0898	+	22.3172i	−0.542429	+	1.19978i
$347$	5.55078	−	3.20475i	0.297982	−	0.172040i	−0.343554	−	0.939133i	$-0.611631\pi$
$347$	5.55078	−	3.20475i	0.297982	−	0.172040i	0.641536	+	0.767093i	$0.278298\pi$
$348$	10.2681	−	6.74267i	0.550429	−	0.361445i
$349$	−17.5635	−	10.1403i	−0.940153	−	0.542797i	−0.0501445	−	0.998742i	$-0.515968\pi$
$349$	−17.5635	−	10.1403i	−0.940153	−	0.542797i	−0.890008	+	0.455945i	$0.849302\pi$
$350$	1.35551	−	0.973023i	0.0724548	−	0.0520103i
$351$	0.380129	+	3.71500i	0.0202898	+	0.198292i
$352$	−9.57219	−	0.274115i	−0.510200	−	0.0146104i
$353$	10.1091	+	5.83648i	0.538052	+	0.310645i	0.744289	−	0.667858i	$-0.232788\pi$
$353$	10.1091	+	5.83648i	0.538052	+	0.310645i	−0.206237	+	0.978502i	$0.566122\pi$
$354$	−17.2898	−	0.718800i	−0.918944	−	0.0382038i
$355$	5.06054	+	8.76512i	0.268586	+	0.465204i
$356$	1.95471	+	9.74351i	0.103599	+	0.516405i
$357$	−7.68669	+	3.09742i	−0.406823	+	0.163933i
$358$	−0.697504	−	7.02289i	−0.0368643	−	0.371171i
$359$	6.88907			0.363591			0.181796	−	0.983336i	$-0.441809\pi$
$359$	6.88907			0.363591			0.181796	+	0.983336i	$0.441809\pi$
$360$	−4.12531	+	7.41497i	−0.217423	+	0.390803i
$361$	12.8441			0.676007
$362$	−2.89313	−	29.1298i	−0.152060	−	1.53103i
$363$	1.97361	−	13.9501i	0.103588	−	0.732192i
$364$	1.66278	−	0.333580i	0.0871531	−	0.0174843i
$365$	3.79688	+	6.57639i	0.198738	+	0.344224i
$366$	−3.05800	−	5.84460i	−0.159844	−	0.305502i
$367$	30.5870	+	17.6594i	1.59663	+	0.921812i	0.992131	+	0.125203i	$0.0399583\pi$
$367$	30.5870	+	17.6594i	1.59663	+	0.921812i	0.604495	+	0.796609i	$0.293375\pi$
$368$	−13.1404	−	10.0147i	−0.684989	−	0.522053i
$369$	2.26574	+	2.35487i	0.117950	+	0.122590i
$370$	−12.9822	+	9.31902i	−0.674913	+	0.484473i
$371$	9.35321	+	5.40008i	0.485594	+	0.280358i
$372$	−2.31662	+	0.133223i	−0.120111	+	0.00690731i
$373$	17.8589	−	10.3108i	0.924699	−	0.533875i	0.0395680	−	0.999217i	$-0.487402\pi$
$373$	17.8589	−	10.3108i	0.924699	−	0.533875i	0.885131	+	0.465342i	$0.154068\pi$
$374$	3.99949	−	8.84633i	0.206809	−	0.457433i
$375$	1.36390	+	1.06761i	0.0704313	+	0.0551311i
$376$	3.38584	−	14.6842i	0.174612	−	0.757280i
$377$		−	2.54853i		−	0.131256i
$378$	6.49217	−	5.74667i	0.333921	−	0.295577i
$379$	9.47680			0.486791			0.243395	−	0.969927i	$-0.421739\pi$
$379$	9.47680			0.486791			0.243395	+	0.969927i	$0.421739\pi$
$380$	−7.45535	−	8.47315i	−0.382451	−	0.434663i
$381$	−0.314439	+	0.401704i	−0.0161092	+	0.0205799i
$382$	11.2084	−	24.7915i	0.573473	−	1.26845i
$383$	−13.6393	−	23.6240i	−0.696938	−	1.20713i	−0.969523	−	0.245000i	$-0.921212\pi$
$383$	−13.6393	−	23.6240i	−0.696938	−	1.20713i	0.272585	−	0.962132i	$-0.412121\pi$
$384$	−19.5878	+	0.564590i	−0.999585	+	0.0288116i
$385$	0.998659	−	1.72973i	0.0508964	−	0.0881551i
$386$	17.6391	+	24.5728i	0.897808	+	1.25072i
$387$	8.01485	+	2.31414i	0.407418	+	0.117635i
$388$	−1.10408	+	3.27010i	−0.0560511	+	0.166014i
$389$	−6.12156	+	10.6029i	−0.310375	+	0.537586i	−0.978444	−	0.206514i	$-0.933788\pi$
$389$	−6.12156	+	10.6029i	−0.310375	+	0.537586i	0.668068	+	0.744100i	$0.267121\pi$
$390$	0.816120	+	1.55981i	0.0413259	+	0.0789840i
$391$	14.5058	−	8.37494i	0.733591	−	0.423539i
$392$	11.6034	+	10.8144i	0.586061	+	0.546208i
$393$	29.2188	+	4.13378i	1.47390	+	0.208521i
$394$	26.6466	−	2.64651i	1.34244	−	0.133329i
$395$			13.0785i			0.658051i
$396$	−0.843069	+	10.1220i	−0.0423658	+	0.508647i
$397$		−	3.50428i		−	0.175875i	−0.996126	−	0.0879373i	$-0.971972\pi$
$397$		−	3.50428i		−	0.175875i	0.996126	−	0.0879373i	$-0.0280275\pi$
$398$	3.38316	+	34.0637i	0.169583	+	1.70746i
$399$	4.31019	+	10.6963i	0.215779	+	0.535486i
$400$	−0.509106	+	3.96747i	−0.0254553	+	0.198373i
$401$	−34.5002	+	19.9187i	−1.72286	+	0.994691i	−0.809975	+	0.586465i	$0.800519\pi$
$401$	−34.5002	+	19.9187i	−1.72286	+	0.994691i	−0.912881	+	0.408226i	$0.866148\pi$
$402$	−1.57683	+	37.9287i	−0.0786451	+	1.89171i
$403$	−0.240708	+	0.416918i	−0.0119905	+	0.0207682i
$404$	8.20739	−	24.3090i	0.408333	−	1.20942i
$405$	7.61488	+	4.79725i	0.378387	+	0.238377i
$406$	−4.80676	+	3.45044i	−0.238555	+	0.171242i
$407$	−9.56455	+	16.5663i	−0.474097	+	0.821160i
$408$	7.13147	−	18.5426i	0.353060	−	0.917994i
$409$	12.4218	+	21.5152i	0.614219	+	1.06386i	0.990521	+	0.137362i	$0.0438624\pi$
$409$	12.4218	+	21.5152i	0.614219	+	1.06386i	−0.376301	+	0.926497i	$0.622804\pi$
$410$	1.40370	+	0.634621i	0.0693237	+	0.0313417i
$411$	8.58416	+	21.3028i	0.423426	+	1.05079i
$412$	7.05834	−	6.21048i	0.347739	−	0.305969i
$413$	8.33533			0.410155
$414$	−11.3653	+	13.3385i	−0.558572	+	0.655551i
$415$			13.8777i			0.681229i
$416$	−2.13270	+	3.46120i	−0.104564	+	0.169699i
$417$	2.88747	−	20.4096i	0.141400	−	0.999462i
$418$	−12.3100	−	5.56545i	−0.602103	−	0.272215i
$419$	−1.15450	+	0.666549i	−0.0564009	+	0.0325631i	−0.527935	−	0.849285i	$-0.677034\pi$
$419$	−1.15450	+	0.666549i	−0.0564009	+	0.0325631i	0.471534	+	0.881848i	$0.343700\pi$
$420$	1.83700	−	3.65109i	0.0896364	−	0.178155i
$421$	−5.60932	−	3.23854i	−0.273381	−	0.157837i	0.357042	−	0.934088i	$-0.383785\pi$
$421$	−5.60932	−	3.23854i	−0.273381	−	0.157837i	−0.630423	+	0.776252i	$0.717119\pi$
$422$	−15.2688	−	21.2707i	−0.743271	−	1.03544i
$423$	−15.3563	−	4.43386i	−0.746650	−	0.215582i
$424$	−24.7572	+	7.57652i	−1.20232	+	0.367948i
$425$	−3.51196	−	2.02763i	−0.170355	−	0.0983547i
$426$	20.9366	+	13.2769i	1.01438	+	0.643266i
$427$	1.58864	+	2.75160i	0.0768797	+	0.133159i
$428$	−4.08753	−	20.3749i	−0.197578	−	0.984856i
$429$	1.65934	+	1.29887i	0.0801136	+	0.0627100i
$430$	3.91332	−	0.388666i	0.188717	−	0.0187431i
$431$	16.0064			0.771000			0.385500	−	0.922708i	$-0.374029\pi$
$431$	16.0064			0.771000			0.385500	+	0.922708i	$0.374029\pi$
$432$	−0.533169	+	20.7778i	−0.0256521	+	0.999671i
$433$	17.9579			0.863003			0.431501	−	0.902112i	$-0.357984\pi$
$433$	17.9579			0.863003			0.431501	+	0.902112i	$0.357984\pi$
$434$	1.11224	−	0.110466i	0.0533891	−	0.00530253i
$435$	−4.83651	−	3.78585i	−0.231893	−	0.181518i
$436$	−4.72403	−	23.5476i	−0.226240	−	1.12773i
$437$	−11.6541	−	20.1854i	−0.557489	−	0.965600i
$438$	15.7086	+	9.96151i	0.750585	+	0.475979i
$439$	−7.75341	−	4.47643i	−0.370050	−	0.213648i	0.303430	−	0.952854i	$-0.401868\pi$
$439$	−7.75341	−	4.47643i	−0.370050	−	0.213648i	−0.673480	+	0.739205i	$0.735201\pi$
$440$	1.40116	+	4.57846i	0.0667975	+	0.218269i
$441$	12.1234	−	11.6645i	0.577305	−	0.555454i
$442$	−2.40353	−	3.34832i	−0.114324	−	0.159263i
$443$	−30.8234	−	17.7959i	−1.46447	−	0.845509i	−0.465252	−	0.885178i	$-0.654036\pi$
$443$	−30.8234	−	17.7959i	−1.46447	−	0.845509i	−0.999213	+	0.0396689i	$0.987370\pi$
$444$	−17.5937	+	34.9679i	−0.834958	+	1.65950i
$445$	4.30313	−	2.48441i	0.203988	−	0.117772i
$446$	−15.3605	−	6.94457i	−0.727339	−	0.328835i
$447$	−4.46350	+	31.5494i	−0.211116	+	1.49224i
$448$	9.41557	−	0.663625i	0.444844	−	0.0313533i
$449$			7.62925i			0.360047i	0.983662	+	0.180023i	$0.0576173\pi$
$449$			7.62925i			0.360047i	−0.983662	+	0.180023i	$0.942383\pi$
$450$	4.17250	+	0.768294i	0.196693	+	0.0362177i
$451$	1.84399			0.0868301
$452$	9.02533	−	7.94120i	0.424516	−	0.373523i
$453$	−0.226081	−	0.561051i	−0.0106222	−	0.0263605i
$454$	13.9013	+	6.28488i	0.652421	+	0.294964i
$455$	−0.423977	−	0.734349i	−0.0198763	−	0.0344268i
$456$	−25.8027	−	9.92371i	−1.20832	−	0.464721i
$457$	−15.0212	+	26.0174i	−0.702660	+	1.21704i	0.264869	+	0.964284i	$0.414671\pi$
$457$	−15.0212	+	26.0174i	−0.702660	+	1.21704i	−0.967529	+	0.252759i	$0.918662\pi$
$458$	30.1901	−	21.6714i	1.41069	−	1.01264i
$459$	−19.2264	−	8.62361i	−0.897410	−	0.402516i
$460$	−2.64253	+	7.82675i	−0.123209	+	0.364924i
$461$	16.1809	−	28.0261i	0.753618	−	1.30531i	−0.192440	−	0.981309i	$-0.561640\pi$
$461$	16.1809	−	28.0261i	0.753618	−	1.30531i	0.946058	−	0.323997i	$-0.105027\pi$
$462$	0.203219	−	4.88819i	0.00945462	−	0.227419i
$463$	−13.9061	+	8.02871i	−0.646273	+	0.373126i	−0.787027	−	0.616919i	$-0.788381\pi$
$463$	−13.9061	+	8.02871i	−0.646273	+	0.373126i	0.140754	+	0.990045i	$0.455047\pi$
$464$	1.80534	−	14.0690i	0.0838109	−	0.653139i
$465$	0.433640	+	1.07614i	0.0201096	+	0.0499047i
$466$	−1.33565	−	13.4481i	−0.0618728	−	0.622972i
$467$		−	14.7880i		−	0.684308i	−0.939644	−	0.342154i	$-0.888844\pi$
$467$		−	14.7880i		−	0.684308i	0.939644	−	0.342154i	$-0.111156\pi$
$468$	3.54255	+	2.45859i	0.163755	+	0.113648i
$469$		−	18.2852i		−	0.844332i
$470$	−7.49786	+	0.744677i	−0.345850	+	0.0343494i
$471$	−36.9383	−	5.22589i	−1.70203	−	0.240797i
$472$	−13.6235	+	14.6175i	−0.627074	+	0.672827i
$473$	4.07668	−	2.35367i	0.187446	−	0.108222i
$474$	14.8516	+	28.3851i	0.682157	+	1.30377i
$475$	−2.82153	+	4.88703i	−0.129461	+	0.224232i
$476$	−3.06111	+	9.06653i	−0.140306	+	0.415564i
$477$	6.59456	+	26.6576i	0.301944	+	1.22057i
$478$	−19.1969	−	26.7429i	−0.878046	−	1.22319i
$479$	−13.3061	+	23.0468i	−0.607969	+	1.05303i	0.383606	+	0.923497i	$0.374682\pi$
$479$	−13.3061	+	23.0468i	−0.607969	+	1.05303i	−0.991575	+	0.129536i	$0.958651\pi$
$480$	3.40041	+	9.18897i	0.155207	+	0.419417i
$481$	4.06059	+	7.03315i	0.185147	+	0.320684i
$482$	3.93504	−	8.70377i	0.179236	−	0.396446i
$483$	5.20280	−	6.64671i	0.236736	−	0.302436i
$484$	−10.7467	−	12.2138i	−0.488485	−	0.555173i
$485$	1.72573			0.0783614
$486$	21.9747	+	1.76451i	0.996792	+	0.0800398i
$487$		−	27.0627i		−	1.22633i	−0.789956	−	0.613164i	$-0.789896\pi$
$487$		−	27.0627i		−	1.22633i	0.789956	−	0.613164i	$-0.210104\pi$
$488$	−7.42197	−	1.71134i	−0.335977	−	0.0774687i
$489$	9.97465	+	7.80779i	0.451069	+	0.353081i
$490$	3.26717	−	7.22655i	0.147596	−	0.326462i
$491$	−20.3680	+	11.7595i	−0.919194	+	0.530697i	−0.883378	−	0.468661i	$-0.844737\pi$
$491$	−20.3680	+	11.7595i	−0.919194	+	0.530697i	−0.0358165	+	0.999358i	$0.511403\pi$
$492$	3.76719	−	0.216642i	0.169838	−	0.00976699i
$493$	12.4538	+	7.19019i	0.560890	+	0.323830i
$494$	−4.65932	+	3.34460i	−0.209633	+	0.150481i
$495$	4.92990	−	1.21956i	0.221582	−	0.0548151i
$496$	−1.62415	+	2.13106i	−0.0729267	+	0.0956875i
$497$	−10.3417	−	5.97076i	−0.463887	−	0.267825i
$498$	15.7591	+	30.1196i	0.706183	+	1.34969i
$499$	−3.21984	−	5.57692i	−0.144140	−	0.249657i	0.784912	−	0.619607i	$-0.212708\pi$
$499$	−3.21984	−	5.57692i	−0.144140	−	0.249657i	−0.929052	+	0.369950i	$0.879375\pi$
$500$	1.96093	−	0.393394i	0.0876954	−	0.0175931i
$501$	3.42079	−	24.1793i	0.152830	−	1.08025i
$502$	−1.19336	−	12.0155i	−0.0532624	−	0.536277i
$503$	15.9851			0.712738			0.356369	−	0.934345i	$-0.384015\pi$
$503$	15.9851			0.712738			0.356369	+	0.934345i	$0.384015\pi$
$504$	−0.159123	−	10.0102i	−0.00708791	−	0.445891i
$505$	−12.8286			−0.570863
$506$	0.977285	+	9.83990i	0.0434456	+	0.437437i
$507$	−20.0550	+	8.08137i	−0.890675	+	0.358906i
$508$	0.115865	+	0.577546i	0.00514068	+	0.0256245i
$509$	21.0256	+	36.4174i	0.931944	+	1.61417i	0.779994	+	0.625787i	$0.215222\pi$
$509$	21.0256	+	36.4174i	0.931944	+	1.61417i	0.151950	+	0.988388i	$0.451445\pi$
$510$	−9.92476	−	0.412608i	−0.439476	−	0.0182706i
$511$	−7.75925	−	4.47981i	−0.343249	−	0.198175i
$512$	−14.2253	+	17.5966i	−0.628677	+	0.777667i
$513$	−12.0001	+	26.7542i	−0.529817	+	1.18123i
$514$	9.63172	−	6.91394i	0.424837	−	0.304961i
$515$	−4.07102	−	2.35040i	−0.179390	−	0.103571i
$516$	8.05197	−	5.28741i	0.354468	−	0.232765i
$517$	−7.81086	+	4.50960i	−0.343521	+	0.198332i
$518$	7.76754	−	17.1808i	0.341286	−	0.754879i
$519$	27.8226	−	11.2114i	1.22128	−	0.492125i
$520$	1.98078	+	0.456723i	0.0868628	+	0.0200286i
$521$		−	26.0924i		−	1.14313i	−0.820558	−	0.571563i	$-0.806337\pi$
$521$		−	26.0924i		−	1.14313i	0.820558	−	0.571563i	$-0.193663\pi$
$522$	−14.7961	−	2.72445i	−0.647608	−	0.119246i
$523$	29.9530			1.30975			0.654876	−	0.755737i	$-0.272721\pi$
$523$	29.9530			1.30975			0.654876	+	0.755737i	$0.272721\pi$
$524$	25.5821	−	22.5092i	1.11756	−	0.983317i
$525$	−2.02344	−	0.286269i	−0.0883101	−	0.0124938i
$526$	−13.9081	+	30.7630i	−0.606424	+	1.34133i
$527$	−1.35822	−	2.35251i	−0.0591650	−	0.102477i
$528$	8.24019	+	8.34580i	0.358608	+	0.363204i
$529$	2.96988	−	5.14398i	0.129125	−	0.223651i
$530$	7.54897	+	10.5164i	0.327906	+	0.456802i
$531$	14.6945	+	15.2726i	0.637688	+	0.662775i
$532$	12.6164	+	4.25966i	0.546991	+	0.184680i
$533$	0.391429	−	0.677975i	0.0169547	−	0.0293664i
$534$	6.51812	−	10.2786i	0.282067	−	0.444798i
$535$	−8.99837	+	5.19521i	−0.389033	+	0.224608i
$536$	32.0665	+	29.8859i	1.38506	+	1.29087i
$537$	−5.32776	+	6.80634i	−0.229910	+	0.293715i
$538$	2.98095	−	0.296064i	0.128518	−	0.0127642i
$539$		−	9.49327i		−	0.408904i
$540$	9.92828	−	3.07070i	0.427245	−	0.132142i
$541$		−	1.81980i		−	0.0782393i	−0.999235	−	0.0391196i	$-0.987545\pi$
$541$		−	1.81980i		−	0.0782393i	0.999235	−	0.0391196i	$-0.0124553\pi$
$542$	−0.485213	−	4.88542i	−0.0208417	−	0.209847i
$543$	−22.0987	+	28.2316i	−0.948345	+	1.21153i
$544$	−10.8966	−	20.1869i	−0.467190	−	0.865504i
$545$	−10.3996	+	6.00420i	−0.445469	+	0.257191i
$546$	−1.75409	−	1.11235i	−0.0750681	−	0.0476041i
$547$	6.93203	−	12.0066i	0.296392	−	0.513367i	−0.678915	−	0.734216i	$-0.737550\pi$
$547$	6.93203	−	12.0066i	0.296392	−	0.513367i	0.975308	+	0.220850i	$0.0708831\pi$
$548$	25.1269	+	8.48353i	1.07337	+	0.362398i
$549$	−2.24105	+	7.76169i	−0.0956456	+	0.331261i
$550$	1.94484	−	1.39606i	0.0829281	−	0.0595283i
$551$	10.0054	−	17.3299i	0.426246	−	0.738279i
$552$	3.15260	+	19.9877i	0.134183	+	0.850732i
$553$	−7.71544	−	13.3635i	−0.328094	−	0.568275i
$554$	−23.0191	−	10.4071i	−0.977990	−	0.442156i
$555$	19.3793	+	2.74171i	0.822604	+	0.116379i
$556$	−15.7228	−	17.8693i	−0.666796	−	0.757827i
$557$	13.1558			0.557428			0.278714	−	0.960374i	$-0.410092\pi$
$557$	13.1558			0.557428			0.278714	+	0.960374i	$0.410092\pi$
$558$	2.16319	+	1.84318i	0.0915752	+	0.0780281i
$559$		−	1.99849i		−	0.0845270i
$560$	−1.82034	−	4.35427i	−0.0769234	−	0.184002i
$561$	−11.0286	+	4.44409i	−0.465629	+	0.187630i
$562$	9.22443	+	4.17043i	0.389109	+	0.175919i
$563$	−28.3026	+	16.3405i	−1.19281	+	0.688671i	−0.958943	−	0.283598i	$-0.908472\pi$
$563$	−28.3026	+	16.3405i	−1.19281	+	0.688671i	−0.233869	+	0.972268i	$0.575139\pi$
$564$	−15.4274	+	10.1306i	−0.649612	+	0.426574i
$565$	−5.20551	−	3.00540i	−0.218998	−	0.126438i
$566$	−12.2187	−	17.0218i	−0.513592	−	0.715478i
$567$	−10.6109	−	0.409527i	−0.445616	−	0.0171985i
$568$	27.3736	−	8.37721i	1.14857	−	0.351500i
$569$	13.9164	+	8.03462i	0.583404	+	0.336829i	0.762485	−	0.647006i	$-0.223979\pi$
$569$	13.9164	+	8.03462i	0.583404	+	0.336829i	−0.179081	+	0.983834i	$0.557312\pi$
$570$	−0.574160	+	13.8107i	−0.0240489	+	0.578466i
$571$	−20.1991	−	34.9859i	−0.845308	−	1.46412i	−0.885354	−	0.464918i	$-0.846084\pi$
$571$	−20.1991	−	34.9859i	−0.845308	−	1.46412i	0.0400464	−	0.999198i	$-0.487249\pi$
$572$	2.38570	−	0.478610i	0.0997510	−	0.0200117i
$573$	−30.9073	+	12.4544i	−1.29117	+	0.520290i
$574$	−1.80867	+	0.179635i	−0.0754926	+	0.00749782i
$575$	4.13040			0.172250
$576$	17.8149	+	16.0820i	0.742286	+	0.670083i
$577$	38.7400			1.61277			0.806384	−	0.591392i	$-0.201421\pi$
$577$	38.7400			1.61277			0.806384	+	0.591392i	$0.201421\pi$
$578$	−0.780783	+	0.0775463i	−0.0324763	+	0.00322550i
$579$	5.18953	−	36.6812i	0.215670	−	1.52442i
$580$	−6.95365	+	1.39502i	−0.288735	+	0.0579249i
$581$	−8.18691	−	14.1801i	−0.339650	−	0.588291i
$582$	3.74546	−	1.95969i	0.155254	−	0.0812319i
$583$	13.4197	+	7.74786i	0.555787	+	0.320884i
$584$	20.5381	−	6.28534i	0.849875	−	0.260089i
$585$	0.598091	−	2.07144i	0.0247280	−	0.0856436i
$586$	3.53282	+	4.92153i	0.145940	+	0.203307i
$587$	11.1211	+	6.42078i	0.459018	+	0.265014i	0.711631	−	0.702553i	$-0.247957\pi$
$587$	11.1211	+	6.42078i	0.459018	+	0.265014i	−0.252613	+	0.967567i	$0.581290\pi$
$588$	−1.11532	−	19.3943i	−0.0459951	−	0.799809i
$589$	−3.27361	+	1.89002i	−0.134887	+	0.0778768i
$590$	9.10373	+	4.11586i	0.374795	+	0.169447i
$591$	−25.8250	−	20.2149i	−1.06230	−	0.831529i
$592$	17.4341	+	41.7026i	0.716537	+	1.71397i
$593$		−	35.8596i		−	1.47258i	−0.676668	−	0.736288i	$-0.736577\pi$
$593$		−	35.8596i		−	1.47258i	0.676668	−	0.736288i	$-0.263423\pi$
$594$	9.31476	−	8.24514i	0.382189	−	0.338302i
$595$	4.78467			0.196152
$596$	24.3045	+	27.6226i	0.995553	+	1.13147i
$597$	25.8417	−	33.0134i	1.05763	−	1.35115i
$598$	3.82526	+	1.72943i	0.156427	+	0.0707216i
$599$	−0.760967	−	1.31803i	−0.0310923	−	0.0538534i	0.850061	−	0.526685i	$-0.176565\pi$
$599$	−0.760967	−	1.31803i	−0.0310923	−	0.0538534i	−0.881153	+	0.472832i	$0.843232\pi$
$600$	3.80920	−	3.08059i	0.155510	−	0.125764i
$601$	13.4622	−	23.3172i	0.549135	−	0.951130i	−0.449199	−	0.893432i	$-0.648291\pi$
$601$	13.4622	−	23.3172i	0.549135	−	0.951130i	0.998334	−	0.0576983i	$-0.0183761\pi$
$602$	−3.76932	+	2.70573i	−0.153626	+	0.110277i
$603$	33.5035	−	32.2354i	1.36437	−	1.31273i
$604$	−0.661765	−	0.223430i	−0.0269268	−	0.00909125i
$605$	−4.06716	+	7.04452i	−0.165353	+	0.286400i
$606$	−27.8426	+	14.5678i	−1.13103	+	0.591775i
$607$	−10.9753	+	6.33658i	−0.445473	+	0.257194i	−0.705916	−	0.708295i	$-0.749465\pi$
$607$	−10.9753	+	6.33658i	−0.445473	+	0.257194i	0.260444	+	0.965489i	$0.416131\pi$
$608$	−28.0908	+	15.1631i	−1.13923	+	0.614945i
$609$	7.17532	+	1.01514i	0.290759	+	0.0411355i
$610$	0.376389	+	3.78971i	0.0152395	+	0.153441i
$611$			3.82906i			0.154907i
$612$	−22.0089	+	10.3748i	−0.889656	+	0.419376i
$613$			22.4783i			0.907890i	0.891030	+	0.453945i	$0.149984\pi$
$613$			22.4783i			0.907890i	−0.891030	+	0.453945i	$0.850016\pi$
$614$	−9.46433	+	0.939984i	−0.381949	+	0.0379347i
$615$	−0.705168	−	1.74997i	−0.0284351	−	0.0705657i
$616$	−4.13268	−	3.85165i	−0.166510	−	0.155187i
$617$	−35.8335	+	20.6885i	−1.44260	+	0.832886i	−0.998023	−	0.0628537i	$-0.979980\pi$
$617$	−35.8335	+	20.6885i	−1.44260	+	0.832886i	−0.444578	+	0.895740i	$0.646647\pi$
$618$	−11.5046	−	0.478289i	−0.462784	−	0.0192396i
$619$	−5.75193	+	9.96263i	−0.231190	+	0.400432i	−0.958158	−	0.286238i	$-0.907595\pi$
$619$	−5.75193	+	9.96263i	−0.231190	+	0.400432i	0.726969	+	0.686670i	$0.240928\pi$
$620$	1.26932	+	0.428557i	0.0509770	+	0.0172113i
$621$	21.3507	−	2.18466i	0.856775	−	0.0876676i
$622$	−2.13126	−	2.96902i	−0.0854556	−	0.119047i
$623$	−2.93127	+	5.07712i	−0.117439	+	0.203410i
$624$	4.81765	−	1.25806i	0.192860	−	0.0503629i
$625$	−0.500000	−	0.866025i	−0.0200000	−	0.0346410i
$626$	−4.06154	+	8.98357i	−0.162332	+	0.359056i
$627$	6.18412	+	15.3467i	0.246970	+	0.612890i
$628$	−32.3407	+	28.4559i	−1.29054	+	1.13552i
$629$	−45.8247			−1.82715
$630$	−4.71667	+	1.67645i	−0.187917	+	0.0667916i
$631$			3.70901i			0.147654i	0.997271	+	0.0738268i	$0.0235212\pi$
$631$			3.70901i			0.147654i	−0.997271	+	0.0738268i	$0.976479\pi$
$632$	36.0458	+	8.31135i	1.43383	+	0.330608i
$633$	−4.49215	+	31.7520i	−0.178547	+	1.26203i
$634$	−0.979871	+	2.16734i	−0.0389156	+	0.0860762i
$635$	0.255068	−	0.147263i	0.0101221	−	0.00584397i
$636$	28.3261	+	14.2519i	1.12320	+	0.565126i
$637$	−3.49037	−	2.01517i	−0.138293	−	0.0798438i
$638$	−6.89659	+	4.95058i	−0.273038	+	0.195995i
$639$	−7.29147	−	29.4748i	−0.288446	−	1.16600i
$640$	10.6112	+	3.92447i	0.419446	+	0.155128i
$641$	−14.6920	−	8.48244i	−0.580300	−	0.335036i	0.180953	−	0.983492i	$-0.442082\pi$
$641$	−14.6920	−	8.48244i	−0.580300	−	0.335036i	−0.761252	+	0.648456i	$0.775415\pi$
$642$	−13.6302	+	21.4938i	−0.537940	+	0.848292i
$643$	12.0107	+	20.8032i	0.473657	+	0.820398i	0.999545	−	0.0301558i	$-0.00960033\pi$
$643$	12.0107	+	20.8032i	0.473657	+	0.820398i	−0.525888	+	0.850554i	$0.676267\pi$
$644$	−1.91714	−	9.55624i	−0.0755458	−	0.376569i
$645$	−3.79265	−	2.96875i	−0.149336	−	0.116895i
$646$	−3.19852	−	32.2046i	−0.125844	−	1.26707i
$647$	31.1081			1.22299			0.611493	−	0.791250i	$-0.290569\pi$
$647$	31.1081			1.22299			0.611493	+	0.791250i	$0.290569\pi$
$648$	18.0610	−	17.9388i	0.709502	−	0.704703i
$649$	11.9593			0.469442
$650$	−0.100451	−	1.01140i	−0.00394001	−	0.0396703i
$651$	−1.07794	−	0.843773i	−0.0422478	−	0.0330701i
$652$	14.3410	−	2.87703i	0.561635	−	0.112673i
$653$	24.2158	+	41.9430i	0.947638	+	1.64136i	0.750381	+	0.661005i	$0.229870\pi$
$653$	24.2158	+	41.9430i	0.947638	+	1.64136i	0.197257	+	0.980352i	$0.436797\pi$
$654$	−15.7526	+	24.8408i	−0.615977	+	0.971350i
$655$	−14.7549	−	8.51875i	−0.576522	−	0.332855i
$656$	2.64113	−	3.46544i	0.103119	−	0.135303i
$657$	−5.47073	−	22.1146i	−0.213433	−	0.862774i
$658$	7.22195	−	5.18414i	0.281541	−	0.202099i
$659$	−14.3198	−	8.26752i	−0.557819	−	0.322057i	0.194451	−	0.980912i	$-0.437708\pi$
$659$	−14.3198	−	8.26752i	−0.557819	−	0.322057i	−0.752270	+	0.658855i	$0.771041\pi$
$660$	2.63567	−	5.23846i	0.102593	−	0.203907i
$661$	19.9686	−	11.5289i	0.776687	−	0.448420i	−0.0585680	−	0.998283i	$-0.518653\pi$
$661$	19.9686	−	11.5289i	0.776687	−	0.448420i	0.835255	+	0.549863i	$0.185320\pi$
$662$	1.50909	−	3.33790i	0.0586523	−	0.129731i
$663$	−0.707131	+	4.99822i	−0.0274627	+	0.194115i
$664$	38.2484	+	8.81923i	1.48433	+	0.342252i
$665$		−	6.65805i		−	0.258188i
$666$	45.1734	−	16.0561i	1.75044	−	0.622160i
$667$	−14.6468			−0.567128
$668$	−18.6268	−	21.1698i	−0.720694	−	0.819083i
$669$	7.71655	+	19.1497i	0.298339	+	0.740370i
$670$	9.02896	−	19.9708i	0.348819	−	0.771541i
$671$	2.27933	+	3.94791i	0.0879926	+	0.152408i
$672$	−8.89539	−	7.38323i	−0.343147	−	0.284814i
$673$	−14.6629	+	25.3969i	−0.565213	+	0.978977i	0.431817	+	0.901961i	$0.357873\pi$
$673$	−14.6629	+	25.3969i	−0.565213	+	0.978977i	−0.997030	+	0.0770158i	$0.975461\pi$
$674$	−9.63483	−	13.4222i	−0.371120	−	0.517002i
$675$	−3.04264	−	4.21216i	−0.117111	−	0.162126i
$676$	−7.98663	+	23.6551i	−0.307178	+	0.909812i
$677$	−3.94679	+	6.83604i	−0.151687	+	0.262730i	−0.931848	−	0.362849i	$-0.881804\pi$
$677$	−3.94679	+	6.83604i	−0.151687	+	0.262730i	0.780161	+	0.625579i	$0.215137\pi$
$678$	−14.7107	−	0.611577i	−0.564961	−	0.0234875i
$679$	−1.76334	+	1.01806i	−0.0676708	+	0.0390697i
$680$	−7.82022	+	8.39080i	−0.299892	+	0.321773i
$681$	−6.98353	−	17.3306i	−0.267609	−	0.664110i
$682$	1.59580	−	0.158493i	0.0611064	−	0.00606901i
$683$			0.634665i			0.0242848i	0.999926	+	0.0121424i	$0.00386514\pi$
$683$			0.634665i			0.0242848i	−0.999926	+	0.0121424i	$0.996135\pi$
$684$	14.4369	+	30.6262i	0.552009	+	1.17102i
$685$		−	13.2602i		−	0.506645i
$686$	2.07917	+	20.9344i	0.0793831	+	0.799277i
$687$	−45.0664	−	6.37584i	−1.71939	−	0.243253i
$688$	1.41570	−	11.0325i	0.0539730	−	0.420612i
$689$	5.69727	−	3.28932i	0.217049	−	0.125313i
$690$	8.96447	−	4.69038i	0.341272	−	0.178560i
$691$	16.0251	−	27.7562i	0.609622	−	1.05590i	−0.381681	−	0.924294i	$-0.624655\pi$
$691$	16.0251	−	27.7562i	0.609622	−	1.05590i	0.991303	−	0.131602i	$-0.0420121\pi$
$692$	11.0799	−	32.8170i	0.421196	−	1.24752i
$693$	−4.31788	+	4.15445i	−0.164023	+	0.157814i
$694$	−7.36363	+	5.28584i	−0.279520	+	0.200648i
$695$	−5.95041	+	10.3064i	−0.225712	+	0.390945i
$696$	−13.5078	+	10.9241i	−0.512012	+	0.414076i
$697$	2.20868	+	3.82555i	0.0836598	+	0.144903i
$698$	26.1342	+	11.8155i	0.989196	+	0.447222i
$699$	−10.2021	+	13.0335i	−0.385879	+	0.492970i
$700$	−1.77159	+	1.55878i	−0.0669598	+	0.0589165i
$701$	2.21948			0.0838288			0.0419144	−	0.999121i	$-0.486654\pi$
$701$	2.21948			0.0838288			0.0419144	+	0.999121i	$0.486654\pi$
$702$	−1.05420	−	5.17496i	−0.0397882	−	0.195316i
$703$			63.7668i			2.40501i
$704$	13.5092	−	0.952148i	0.509146	−	0.0358854i
$705$	7.26666	+	5.68808i	0.273678	+	0.214225i
$706$	−15.0422	−	6.80067i	−0.566120	−	0.255947i
$707$	13.1081	−	7.56799i	0.492982	−	0.284623i
$708$	24.4323	−	1.40504i	0.918220	−	0.0528047i
$709$	18.5688	+	10.7207i	0.697364	+	0.402624i	0.806365	−	0.591418i	$-0.201432\pi$
$709$	18.5688	+	10.7207i	0.697364	+	0.402624i	−0.109001	+	0.994042i	$0.534765\pi$
$710$	−8.34675	−	11.6277i	−0.313248	−	0.436382i
$711$	10.8839	−	37.6957i	0.408180	−	1.41370i
$712$	−4.11269	−	13.4387i	−0.154130	−	0.503638i
$713$	2.39610	+	1.38339i	0.0897345	+	0.0518082i
$714$	10.3845	−	5.43334i	0.388629	−	0.203338i
$715$	−0.608308	−	1.05362i	−0.0227494	−	0.0394032i
$716$	1.96318	+	9.78576i	0.0733675	+	0.365711i
$717$	−5.64783	+	39.9207i	−0.210922	+	1.49087i
$718$	−9.69492	+	0.962887i	−0.361811	+	0.0359346i
$719$	−11.0608			−0.412498			−0.206249	−	0.978499i	$-0.566126\pi$
$719$	−11.0608			−0.412498			−0.206249	+	0.978499i	$0.566126\pi$
$720$	4.76911	−	11.0116i	0.177734	−	0.410379i
$721$	5.54632			0.206556
$722$	−18.0754	+	1.79523i	−0.672697	+	0.0668114i
$723$	−10.8509	+	4.37247i	−0.403549	+	0.162614i
$724$	8.14295	+	40.5897i	0.302631	+	1.50850i
$725$	1.77305	+	3.07101i	0.0658495	+	0.114055i
$726$	−0.827635	+	19.9077i	−0.0307164	+	0.738845i
$727$	15.9631	+	9.21629i	0.592038	+	0.341813i	0.765903	−	0.642956i	$-0.222292\pi$
$727$	15.9631	+	9.21629i	0.592038	+	0.341813i	−0.173865	+	0.984769i	$0.555626\pi$
$728$	−2.29338	+	0.701850i	−0.0849984	+	0.0260123i
$729$	−17.9558	−	20.1640i	−0.665030	−	0.746816i
$730$	−6.26249	−	8.72419i	−0.231785	−	0.322897i
$731$	9.76589	+	5.63834i	0.361205	+	0.208542i
$732$	5.12040	+	7.79763i	0.189255	+	0.288209i
$733$	18.9150	−	10.9206i	0.698641	−	0.403360i	−0.108200	−	0.994129i	$-0.534509\pi$
$733$	18.9150	−	10.9206i	0.698641	−	0.403360i	0.806841	+	0.590769i	$0.201175\pi$
$734$	−45.5130	−	20.5767i	−1.67991	−	0.759501i
$735$	−9.00925	+	3.63036i	−0.332311	+	0.133908i
$736$	19.8921	+	12.2570i	0.733231	+	0.451798i
$737$		−	26.2350i		−	0.966379i
$738$	−3.51769	−	2.99730i	−0.129488	−	0.110332i
$739$	−17.2982			−0.636326			−0.318163	−	0.948036i	$-0.603066\pi$
$739$	−17.2982			−0.636326			−0.318163	+	0.948036i	$0.603066\pi$
$740$	16.9672	−	14.9291i	0.623727	−	0.548804i
$741$	6.95522	+	0.984000i	0.255506	+	0.0361481i
$742$	−13.9174	−	6.29217i	−0.510925	−	0.230993i
$743$	−25.2134	−	43.6709i	−0.924990	−	1.60213i	−0.791577	−	0.611069i	$-0.790740\pi$
$743$	−25.2134	−	43.6709i	−0.924990	−	1.60213i	−0.133413	−	0.991061i	$-0.542594\pi$
$744$	3.24153	−	0.511278i	0.118840	−	0.0187444i
$745$	9.19823	−	15.9318i	0.336997	−	0.583696i
$746$	−23.6915	+	17.0065i	−0.867408	+	0.622652i
$747$	11.5490	−	39.9991i	0.422557	−	1.46349i
$748$	−4.39199	+	13.0084i	−0.160587	+	0.475633i
$749$	6.12965	−	10.6169i	0.223973	−	0.387932i
$750$	−2.06862	−	1.31180i	−0.0755352	−	0.0479003i
$751$	18.9397	−	10.9349i	0.691120	−	0.399019i	−0.112911	−	0.993605i	$-0.536018\pi$
$751$	18.9397	−	10.9349i	0.691120	−	0.399019i	0.804032	+	0.594587i	$0.202684\pi$
$752$	−2.71245	+	21.1382i	−0.0989130	+	0.770829i
$753$	−9.11528	+	11.6450i	−0.332179	+	0.424367i
$754$	0.356209	+	3.58652i	0.0129724	+	0.130614i
$755$			0.349233i			0.0127099i
$756$	−8.33315	+	8.99464i	−0.303074	+	0.327132i
$757$		−	6.81492i		−	0.247693i	−0.992301	−	0.123846i	$-0.960477\pi$
$757$		−	6.81492i		−	0.247693i	0.992301	−	0.123846i	$-0.0395230\pi$
$758$	−13.3366	+	1.32457i	−0.484407	+	0.0481107i
$759$	7.46481	−	9.53648i	0.270956	−	0.346152i
$760$	11.6761	+	10.8821i	0.423538	+	0.394737i
$761$	−33.8048	+	19.5172i	−1.22542	+	0.707498i	−0.966069	−	0.258284i	$-0.916843\pi$
$761$	−33.8048	+	19.5172i	−1.22542	+	0.707498i	−0.259354	+	0.965782i	$0.583510\pi$
$762$	0.386361	−	0.609263i	0.0139964	−	0.0220713i
$763$	7.08415	−	12.2701i	0.256463	−	0.444207i
$764$	−12.3084	+	36.4555i	−0.445302	+	1.31891i
$765$	8.43500	+	8.76683i	0.304968	+	0.316966i
$766$	22.4964	+	31.3395i	0.812829	+	1.13234i
$767$	2.53863	−	4.39703i	0.0916645	−	0.158768i
$768$	27.4868	−	3.53233i	0.991843	−	0.127462i
$769$	−3.96893	−	6.87439i	−0.143123	−	0.247897i	0.785548	−	0.618801i	$-0.212381\pi$
$769$	−3.96893	−	6.87439i	−0.143123	−	0.247897i	−0.928671	+	0.370904i	$0.879048\pi$
$770$	−1.16364	+	2.57381i	−0.0419346	+	0.0927537i
$771$	−14.3778	−	2.03412i	−0.517804	−	0.0732570i
$772$	−28.2579	−	32.1157i	−1.01702	−	1.15587i
$773$	−54.8377			−1.97238			−0.986188	−	0.165632i	$-0.947034\pi$
$773$	−54.8377			−1.97238			−0.986188	+	0.165632i	$0.947034\pi$
$774$	−11.6027	−	2.13643i	−0.417049	−	0.0767925i
$775$		−	0.669855i		−	0.0240619i
$776$	1.09670	−	4.75630i	0.0393691	−	0.170741i
$777$	−21.4190	+	8.63101i	−0.768404	+	0.309636i
$778$	7.13285	−	15.7769i	0.255725	−	0.565629i
$779$	5.32340	−	3.07347i	0.190731	−	0.110118i
$780$	−1.36653	−	2.08103i	−0.0489297	−	0.0745130i
$781$	−14.8379	−	8.56666i	−0.530941	−	0.306539i
$782$	−19.2433	+	13.8135i	−0.688140	+	0.493968i
$783$	10.7895	+	14.9368i	0.385586	+	0.533796i
$784$	−17.8409	−	13.5971i	−0.637175	−	0.485612i
$785$	18.6531	+	10.7693i	0.665756	+	0.384375i
$786$	−41.6972	−	1.73350i	−1.48729	−	0.0618319i
$787$	−11.6878	−	20.2439i	−0.416625	−	0.721616i	0.578972	−	0.815347i	$-0.303454\pi$
$787$	−11.6878	−	20.2439i	−0.416625	−	0.721616i	−0.995598	+	0.0937309i	$0.970121\pi$
$788$	−37.1296	+	7.44881i	−1.32269	+	0.265353i
$789$	38.3518	−	15.4542i	1.36536	−	0.550185i
$790$	−1.82798	−	18.4052i	−0.0650368	−	0.654829i
$791$	7.09195			0.252161
$792$	−0.228305	−	14.3624i	−0.00811246	−	0.510344i
$793$	1.93536			0.0687267
$794$	0.489793	+	4.93153i	0.0173821	+	0.175014i
$795$	2.22095	−	15.6984i	0.0787689	−	0.556764i
$796$	−9.52218	−	47.4647i	−0.337505	−	1.68234i
$797$	−11.2474	−	19.4810i	−0.398403	−	0.690054i	0.595126	−	0.803632i	$-0.297102\pi$
$797$	−11.2474	−	19.4810i	−0.398403	−	0.690054i	−0.993529	+	0.113578i	$0.963769\pi$
$798$	−7.56071	−	14.4504i	−0.267646	−	0.511538i
$799$	−18.7113	−	10.8030i	−0.661958	−	0.382181i
$800$	0.161926	−	5.65454i	0.00572497	−	0.199918i
$801$	−14.4703	+	3.57966i	−0.511282	+	0.126481i
$802$	45.7677	−	32.8534i	1.61611	−	1.16010i
$803$	−11.1327	−	6.42749i	−0.392866	−	0.226821i
$804$	−3.08224	−	53.5970i	−0.108702	−	1.89022i
$805$	−4.22042	+	2.43666i	−0.148750	+	0.0858810i
$806$	0.280473	−	0.620368i	0.00987924	−	0.0218515i
$807$	−2.88904	−	2.26143i	−0.101699	−	0.0796062i
$808$	−8.15251	+	35.3569i	−0.286804	+	1.24385i
$809$		−	10.6019i		−	0.372744i	−0.982479	−	0.186372i	$-0.940327\pi$
$809$		−	10.6019i		−	0.372744i	0.982479	−	0.186372i	$-0.0596730\pi$
$810$	−11.3869	−	5.68678i	−0.400093	−	0.199813i
$811$	−45.4705			−1.59668			−0.798342	−	0.602204i	$-0.794289\pi$
$811$	−45.4705			−1.59668			−0.798342	+	0.602204i	$0.794289\pi$
$812$	6.28223	−	5.52761i	0.220463	−	0.193981i
$813$	−3.70621	+	4.73478i	−0.129983	+	0.166056i
$814$	11.1446	−	24.6504i	0.390619	−	0.863996i
$815$	−3.65667	−	6.33355i	−0.128088	−	0.221854i
$816$	−7.44435	+	27.0915i	−0.260604	+	0.948393i
$817$	7.84597	−	13.5896i	0.274496	−	0.475441i
$818$	−20.4883	−	28.5420i	−0.716356	−	0.997946i
$819$	0.610886	+	2.46942i	0.0213461	+	0.0862885i
$820$	−2.06411	−	0.696901i	−0.0720818	−	0.0243368i
$821$	6.79733	−	11.7733i	0.237229	−	0.410892i	−0.722689	−	0.691173i	$-0.757094\pi$
$821$	6.79733	−	11.7733i	0.237229	−	0.410892i	0.959918	+	0.280281i	$0.0904276\pi$
$822$	−15.0579	−	28.7794i	−0.525204	−	1.00380i
$823$	−45.8629	+	26.4790i	−1.59868	+	0.922998i	−0.606938	+	0.794749i	$0.707603\pi$
$823$	−45.8629	+	26.4790i	−1.59868	+	0.922998i	−0.991742	+	0.128250i	$0.959064\pi$
$824$	−9.06508	+	9.72649i	−0.315797	+	0.338838i
$825$	−2.90316	−	0.410729i	−0.101075	−	0.0142998i
$826$	−11.7302	+	1.16503i	−0.408146	+	0.0405366i
$827$			13.1858i			0.458517i	0.973366	+	0.229258i	$0.0736301\pi$
$827$			13.1858i			0.458517i	−0.973366	+	0.229258i	$0.926370\pi$
$828$	14.1299	−	20.3596i	0.491048	−	0.707546i
$829$		−	27.6691i		−	0.960987i	−0.876998	−	0.480494i	$-0.840458\pi$
$829$		−	27.6691i		−	0.960987i	0.876998	−	0.480494i	$-0.159542\pi$
$830$	−1.93969	−	19.5299i	−0.0673275	−	0.677894i
$831$	11.5640	+	28.6977i	0.401151	+	0.995512i
$832$	2.51756	−	5.16900i	0.0872806	−	0.179203i
$833$	19.6948	−	11.3708i	0.682384	−	0.393975i
$834$	−1.21086	+	29.1258i	−0.0419288	+	1.00854i
$835$	−7.04946	+	12.2100i	−0.243957	+	0.422545i
$836$	18.1016	+	6.11162i	0.626058	+	0.211375i
$837$	−0.354302	−	3.46259i	−0.0122465	−	0.119685i
$838$	1.53155	−	1.09939i	0.0529065	−	0.0379779i
$839$	7.30540	−	12.6533i	0.252210	−	0.436841i	−0.711924	−	0.702257i	$-0.752176\pi$
$839$	7.30540	−	12.6533i	0.252210	−	0.436841i	0.964134	+	0.265416i	$0.0855092\pi$
$840$	−2.07488	+	5.39490i	−0.0715900	+	0.186142i
$841$	8.21258	+	14.2246i	0.283192	+	0.490504i
$842$	8.34659	+	3.77355i	0.287642	+	0.130045i
$843$	−4.63403	−	11.5000i	−0.159604	−	0.396080i
$844$	24.4606	+	27.7999i	0.841967	+	0.956913i
$845$	12.4835			0.429445
$846$	22.2305	+	4.09337i	0.764301	+	0.140733i
$847$		−	9.59740i		−	0.329770i
$848$	33.7816	−	14.1227i	1.16007	−	0.484975i
$849$	−3.59482	+	25.4093i	−0.123374	+	0.872047i
$850$	5.22575	+	2.36260i	0.179242	+	0.0810365i
$851$	40.4206	−	23.3369i	1.38560	−	0.799978i
$852$	−31.3196	−	15.7581i	−1.07299	−	0.539863i
$853$	11.9267	+	6.88590i	0.408364	+	0.235769i	0.690086	−	0.723727i	$-0.257573\pi$
$853$	11.9267	+	6.88590i	0.408364	+	0.235769i	−0.281723	+	0.959496i	$0.590906\pi$
$854$	−2.62027	−	3.65026i	−0.0896637	−	0.124909i
$855$	12.1994	−	11.7376i	0.417210	−	0.401419i
$856$	8.60013	+	28.1020i	0.293947	+	0.960507i
$857$	23.7045	+	13.6858i	0.809729	+	0.467497i	0.846862	−	0.531813i	$-0.178489\pi$
$857$	23.7045	+	13.6858i	0.809729	+	0.467497i	−0.0371325	+	0.999310i	$0.511822\pi$
$858$	−2.51671	−	1.59596i	−0.0859191	−	0.0544852i
$859$	3.49539	+	6.05420i	0.119261	+	0.206567i	0.919475	−	0.393148i	$-0.128614\pi$
$859$	3.49539	+	6.05420i	0.119261	+	0.206567i	−0.800214	+	0.599715i	$0.795281\pi$
$860$	−5.45285	+	1.09393i	−0.185941	+	0.0373027i
$861$	1.75290	+	1.37211i	0.0597388	+	0.0467614i
$862$	−22.5256	+	2.23721i	−0.767225	+	0.0761997i
$863$	−5.01460			−0.170699			−0.0853495	−	0.996351i	$-0.527201\pi$
$863$	−5.01460			−0.170699			−0.0853495	+	0.996351i	$0.527201\pi$
$864$	−2.15379	−	29.3149i	−0.0732734	−	0.997312i
$865$	−17.3185			−0.588847
$866$	−25.2720	+	2.50998i	−0.858777	+	0.0852926i
$867$	0.756708	+	0.592324i	0.0256991	+	0.0201164i
$868$	−1.54980	+	0.310915i	−0.0526036	+	0.0105531i
$869$	−11.0699	−	19.1736i	−0.375520	−	0.650419i
$870$	7.33552	+	4.65179i	0.248698	+	0.157710i
$871$	−9.64576	−	5.56898i	−0.326834	−	0.188698i
$872$	9.93933	+	32.4780i	0.336588	+	1.09984i
$873$	−4.97401	−	1.43615i	−0.168345	−	0.0486065i
$874$	19.2220	+	26.7778i	0.650192	+	0.905774i
$875$	1.02179	+	0.589933i	0.0345429	+	0.0199434i
$876$	−23.4988	−	11.8231i	−0.793952	−	0.399467i
$877$	44.3620	−	25.6124i	1.49800	−	0.864870i	0.498002	−	0.867176i	$-0.334067\pi$
$877$	44.3620	−	25.6124i	1.49800	−	0.864870i	0.999997	+	0.00230558i	$0.000733889\pi$
$878$	11.5370	+	5.21594i	0.389354	+	0.176030i
$879$	1.03938	−	7.34664i	0.0350573	−	0.247796i
$880$	−2.61176	−	6.24738i	−0.0880426	−	0.210599i
$881$			37.2669i			1.25555i	0.778394	+	0.627777i	$0.216035\pi$
$881$			37.2669i			1.25555i	−0.778394	+	0.627777i	$0.783965\pi$
$882$	−15.4308	+	18.1099i	−0.519582	+	0.609791i
$883$	−27.8819			−0.938301			−0.469151	−	0.883118i	$-0.655440\pi$
$883$	−27.8819			−0.938301			−0.469151	+	0.883118i	$0.655440\pi$
$884$	3.85045	+	4.37612i	0.129505	+	0.147185i
$885$	−4.57339	−	11.3495i	−0.153733	−	0.381510i
$886$	45.8648	+	20.7358i	1.54086	+	0.696633i
$887$	−7.74805	−	13.4200i	−0.260154	−	0.450600i	0.706129	−	0.708084i	$-0.250440\pi$
$887$	−7.74805	−	13.4200i	−0.260154	−	0.450600i	−0.966283	+	0.257483i	$0.917107\pi$
$888$	19.8719	−	51.6690i	0.666858	−	1.73390i
$889$	−0.173751	+	0.300946i	−0.00582742	+	0.0100934i
$890$	−5.70850	+	4.09774i	−0.191349	+	0.137356i
$891$	−15.2242	−	0.587577i	−0.510029	−	0.0196846i
$892$	22.5873	+	7.62609i	0.756277	+	0.255340i
$893$	−15.0327	+	26.0375i	−0.503052	+	0.871311i
$894$	1.87177	−	45.0230i	0.0626013	−	1.50580i
$895$	4.32179	−	2.49518i	0.144461	−	0.0834048i
$896$	−13.1577	+	2.24993i	−0.439567	+	0.0751648i
$897$	−1.92168	−	4.76891i	−0.0641629	−	0.159229i
$898$	−1.06634	−	10.7366i	−0.0355843	−	0.358284i
$899$			2.37538i			0.0792232i
$900$	−5.97930	−	0.498022i	−0.199310	−	0.0166007i
$901$			37.1207i			1.23667i
$902$	−2.59503	+	0.257735i	−0.0864050	+	0.00858162i
$903$	5.62668	+	0.796042i	0.187244	+	0.0264906i
$904$	−11.5913	+	12.4370i	−0.385521	+	0.413650i
$905$	17.9261	−	10.3496i	0.595882	−	0.344033i
$906$	0.396579	+	0.757961i	0.0131755	+	0.0251816i
$907$	−2.14332	+	3.71233i	−0.0711676	+	0.123266i	−0.899413	−	0.437099i	$-0.856006\pi$
$907$	−2.14332	+	3.71233i	−0.0711676	+	0.123266i	0.828246	+	0.560365i	$0.189339\pi$
$908$	−20.4416	−	6.90166i	−0.678378	−	0.229040i
$909$	36.9753	+	10.6759i	1.22639	+	0.354099i
$910$	0.699298	+	0.974182i	0.0231815	+	0.0322938i
$911$	−3.66147	+	6.34185i	−0.121310	+	0.210115i	−0.920284	−	0.391250i	$-0.872043\pi$
$911$	−3.66147	+	6.34185i	−0.121310	+	0.210115i	0.798975	+	0.601365i	$0.205376\pi$
$912$	37.6989	+	10.3591i	1.24834	+	0.343024i
$913$	−11.7463	−	20.3452i	−0.388746	−	0.673328i
$914$	17.5027	−	38.7136i	0.578937	−	1.28053i
$915$	2.87498	−	3.67286i	0.0950439	−	0.121421i
$916$	−39.4572	+	34.7176i	−1.30370	+	1.14710i
$917$	20.1020			0.663825
$918$	28.2624	+	9.44864i	0.932798	+	0.311852i
$919$			18.3957i			0.606818i	0.952860	+	0.303409i	$0.0981249\pi$
$919$			18.3957i			0.606818i	−0.952860	+	0.303409i	$0.901875\pi$
$920$	2.62486	−	11.3838i	0.0865390	−	0.375314i
$921$	9.17250	+	7.17990i	0.302244	+	0.236586i
$922$	−18.8540	+	41.7024i	−0.620922	+	1.37340i
$923$	−6.29937	+	3.63694i	−0.207346	+	0.119711i
$924$	0.397234	+	6.90750i	0.0130680	+	0.227240i
$925$	−9.78612	−	5.65002i	−0.321766	−	0.185772i
$926$	18.4478	−	13.2424i	0.606232	−	0.435172i
$927$	9.77773	+	10.1624i	0.321143	+	0.333776i
$928$	−0.574208	+	20.0516i	−0.0188493	+	0.658225i
$929$	−17.9190	−	10.3455i	−0.587903	−	0.339426i	0.176365	−	0.984325i	$-0.443566\pi$
$929$	−17.9190	−	10.3455i	−0.587903	−	0.339426i	−0.764268	+	0.644899i	$0.776899\pi$
$930$	−0.760670	−	1.45383i	−0.0249433	−	0.0476729i
$931$	−15.8229	−	27.4061i	−0.518575	−	0.898198i
$932$	3.75929	+	18.7387i	0.123140	+	0.613807i
$933$	−0.627027	+	4.43203i	−0.0205280	+	0.145098i
$934$	2.06692	+	20.8110i	0.0676318	+	0.680957i
$935$	6.86489			0.224506
$936$	−5.32904	−	2.96480i	−0.174185	−	0.0969075i
$937$	−8.59458			−0.280773			−0.140386	−	0.990097i	$-0.544834\pi$
$937$	−8.59458			−0.280773			−0.140386	+	0.990097i	$0.544834\pi$
$938$	2.55572	+	25.7326i	0.0834473	+	0.840198i
$939$	11.1997	−	4.51303i	0.365489	−	0.147277i
$940$	10.4476	−	2.09595i	0.340762	−	0.0683624i
$941$	7.07610	+	12.2562i	0.230674	+	0.399540i	0.958007	−	0.286746i	$-0.0925735\pi$
$941$	7.07610	+	12.2562i	0.230674	+	0.399540i	−0.727332	+	0.686285i	$0.759240\pi$
$942$	52.7133	+	2.19148i	1.71749	+	0.0714023i
$943$	−3.89643	−	2.24961i	−0.126885	−	0.0732573i
$944$	17.1292	−	22.4753i	0.557507	−	0.731508i
$945$	5.59385	+	2.50901i	0.181968	+	0.0816181i
$946$	−5.40810	+	3.88210i	−0.175833	+	0.126218i
$947$	33.0703	+	19.0932i	1.07464	+	0.620445i	0.929446	−	0.368958i	$-0.120285\pi$
$947$	33.0703	+	19.0932i	1.07464	+	0.620445i	0.145196	+	0.989403i	$0.453619\pi$
$948$	−24.8679	−	37.8702i	−0.807672	−	1.22997i
$949$	−4.72636	+	2.72876i	−0.153424	+	0.0885794i
$950$	3.28765	−	7.27184i	0.106665	−	0.235930i
$951$	2.70200	−	1.08880i	0.0876183	−	0.0353067i
$952$	3.04064	−	13.1871i	0.0985478	−	0.427396i
$953$			1.88922i			0.0611978i	0.999532	+	0.0305989i	$0.00974145\pi$
$953$			1.88922i			0.0611978i	−0.999532	+	0.0305989i	$0.990259\pi$
$954$	−13.0064	−	36.5932i	−0.421097	−	1.18475i
$955$	19.2386			0.622547
$956$	30.7535	+	34.9519i	0.994638	+	1.13043i
$957$	10.2949	+	1.45649i	0.332787	+	0.0470816i
$958$	15.5042	−	34.2933i	0.500919	−	1.10796i
$959$	7.82261	+	13.5492i	0.252605	+	0.437525i
$960$	−6.06970	−	12.4563i	−0.195899	−	0.402024i
$961$	−15.2756	+	26.4582i	−0.492763	+	0.853490i
$962$	−6.69745	−	9.33013i	−0.215934	−	0.300815i
$963$	30.2591	−	7.48551i	0.975086	−	0.241217i
$964$	−4.32121	+	12.7987i	−0.139177	+	0.412219i
$965$	−10.6944	+	18.5233i	−0.344265	+	0.596285i
$966$	−6.39284	+	10.0810i	−0.205686	+	0.324352i
$967$	−21.5058	+	12.4164i	−0.691579	+	0.399283i	−0.804203	−	0.594354i	$-0.797408\pi$
$967$	−21.5058	+	12.4164i	−0.691579	+	0.399283i	0.112624	+	0.993638i	$0.464074\pi$
$968$	16.8308	+	15.6863i	0.540963	+	0.504177i
$969$	−24.4313	+	31.2115i	−0.784846	+	1.00266i
$970$	−2.42860	+	0.241205i	−0.0779777	+	0.00774464i
$971$		−	21.4099i		−	0.687075i	−0.939139	−	0.343538i	$-0.888375\pi$
$971$		−	21.4099i		−	0.687075i	0.939139	−	0.343538i	$-0.111625\pi$
$972$	−31.1714	+	0.588228i	−0.999822	+	0.0188674i
$973$		−	14.0414i		−	0.450146i
$974$	3.78256	+	38.0851i	0.121201	+	1.22032i
$975$	−0.767275	+	0.980213i	−0.0245725	+	0.0313919i
$976$	10.6841	+	1.37098i	0.341988	+	0.0438840i
$977$	11.0044	−	6.35337i	0.352061	−	0.203262i	−0.313532	−	0.949578i	$-0.601512\pi$
$977$	11.0044	−	6.35337i	0.352061	−	0.203262i	0.665593	+	0.746315i	$0.268179\pi$
$978$	−15.1285	−	9.59367i	−0.483757	−	0.306772i
$979$	−4.20570	+	7.28449i	−0.134415	+	0.232813i
$980$	−3.58780	+	10.6265i	−0.114608	+	0.339451i
$981$	34.9710	−	8.65113i	1.11654	−	0.276209i
$982$	27.0200	−	19.3958i	0.862244	−	0.618945i
$983$	1.35255	−	2.34269i	0.0431397	−	0.0747202i	−0.843649	−	0.536895i	$-0.819597\pi$
$983$	1.35255	−	2.34269i	0.0431397	−	0.0747202i	0.886789	+	0.462174i	$0.152931\pi$
$984$	−5.27125	+	0.831419i	−0.168041	+	0.0265047i
$985$	9.46736	+	16.3980i	0.301655	+	0.522482i
$986$	−18.5311	−	8.37802i	−0.590149	−	0.266810i
$987$	−10.7806	−	1.52520i	−0.343151	−	0.0485477i
$988$	6.08953	−	5.35805i	0.193734	−	0.170462i
$989$	−11.4856			−0.365222
$990$	−6.76733	+	2.40532i	−0.215080	+	0.0764462i
$991$			18.6055i			0.591024i	0.955339	+	0.295512i	$0.0954903\pi$
$991$			18.6055i			0.591024i	−0.955339	+	0.295512i	$0.904510\pi$
$992$	1.98780	−	3.22603i	0.0631126	−	0.102427i
$993$	−4.16132	+	1.67684i	−0.132055	+	0.0532130i
$994$	15.3882	+	6.95714i	0.488086	+	0.220667i
$995$	−20.9623	+	12.1026i	−0.664550	+	0.383678i
$996$	−26.3875	−	40.1844i	−0.836119	−	1.27329i
$997$	−14.4956	−	8.36903i	−0.459080	−	0.265050i	0.252578	−	0.967577i	$-0.418722\pi$
$997$	−14.4956	−	8.36903i	−0.459080	−	0.265050i	−0.711657	+	0.702527i	$0.752055\pi$
$998$	5.31073	+	7.39831i	0.168108	+	0.234189i
$999$	−53.5745	−	24.0298i	−1.69502	−	0.760268i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	360.2.bm.a.11.1	✓	48
3.2	odd	2		1080.2.bm.b.251.24		48
4.3	odd	2		1440.2.cc.a.911.6		48
8.3	odd	2		360.2.bm.b.11.10	yes	48
8.5	even	2		1440.2.cc.b.911.6		48
9.4	even	3		1080.2.bm.a.611.15		48
9.5	odd	6		360.2.bm.b.131.10	yes	48
12.11	even	2		4320.2.cc.b.1871.10		48
24.5	odd	2		4320.2.cc.a.1871.15		48
24.11	even	2		1080.2.bm.a.251.15		48
36.23	even	6		1440.2.cc.b.1391.6		48
36.31	odd	6		4320.2.cc.a.3311.15		48
72.5	odd	6		1440.2.cc.a.1391.6		48
72.13	even	6		4320.2.cc.b.3311.10		48
72.59	even	6	inner	360.2.bm.a.131.1	yes	48
72.67	odd	6		1080.2.bm.b.611.24		48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
360.2.bm.a.11.1	✓	48	1.1	even	1	trivial
360.2.bm.a.131.1	yes	48	72.59	even	6	inner
360.2.bm.b.11.10	yes	48	8.3	odd	2
360.2.bm.b.131.10	yes	48	9.5	odd	6
1080.2.bm.a.251.15		48	24.11	even	2
1080.2.bm.a.611.15		48	9.4	even	3
1080.2.bm.b.251.24		48	3.2	odd	2
1080.2.bm.b.611.24		48	72.67	odd	6
1440.2.cc.a.911.6		48	4.3	odd	2
1440.2.cc.a.1391.6		48	72.5	odd	6
1440.2.cc.b.911.6		48	8.5	even	2
1440.2.cc.b.1391.6		48	36.23	even	6
4320.2.cc.a.1871.15		48	24.5	odd	2
4320.2.cc.a.3311.15		48	36.31	odd	6
4320.2.cc.b.1871.10		48	12.11	even	2
4320.2.cc.b.3311.10		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)

\(f(q)\)	\(=\)	\(q+(-1.40729 + 0.139770i) q^{2} +(1.36390 + 1.06761i) q^{3} +(1.96093 - 0.393394i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-2.06862 - 1.31180i) q^{6} +(1.02179 + 0.589933i) q^{7} +(-2.70461 + 0.827699i) q^{8} +(0.720424 + 2.91221i) q^{9} +O(q^{10})\)	\(q+(-1.40729 + 0.139770i) q^{2} +(1.36390 + 1.06761i) q^{3} +(1.96093 - 0.393394i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-2.06862 - 1.31180i) q^{6} +(1.02179 + 0.589933i) q^{7} +(-2.70461 + 0.827699i) q^{8} +(0.720424 + 2.91221i) q^{9} +(0.824689 + 1.14886i) q^{10} +(1.46604 + 0.846417i) q^{11} +(3.09449 + 1.55696i) q^{12} +(0.622400 - 0.359343i) q^{13} +(-1.52042 - 0.687390i) q^{14} +(0.242628 - 1.71497i) q^{15} +(3.69048 - 1.54284i) q^{16} +4.05527i q^{17} +(-1.42089 - 3.99763i) q^{18} +5.64306 q^{19} +(-1.32115 - 1.50152i) q^{20} +(0.763803 + 1.89548i) q^{21} +(-2.18144 - 0.986246i) q^{22} +(-2.06520 - 3.57703i) q^{23} +(-4.57246 - 1.75857i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(-0.825672 + 0.592693i) q^{26} +(-2.12652 + 4.74109i) q^{27} +(2.23574 + 0.754849i) q^{28} +(1.77305 - 3.07101i) q^{29} +(-0.101746 + 2.44738i) q^{30} +(-0.580112 + 0.334928i) q^{31} +(-4.97794 + 2.68704i) q^{32} +(1.09588 + 2.71958i) q^{33} +(-0.566805 - 5.70693i) q^{34} -1.17987i q^{35} +(2.55835 + 5.42723i) q^{36} +11.3000i q^{37} +(-7.94142 + 0.788731i) q^{38} +(1.23253 + 0.174373i) q^{39} +(2.06911 + 1.92841i) q^{40} +(0.943354 - 0.544646i) q^{41} +(-1.33982 - 2.56074i) q^{42} +(1.39038 - 2.40820i) q^{43} +(3.20777 + 1.08303i) q^{44} +(2.16184 - 2.08001i) q^{45} +(3.40630 + 4.74527i) q^{46} +(-2.66393 + 4.61407i) q^{47} +(6.68058 + 1.83572i) q^{48} +(-2.80396 - 4.85660i) q^{49} +(0.582600 - 1.28863i) q^{50} +(-4.32944 + 5.53096i) q^{51} +(1.07912 - 0.949495i) q^{52} +9.15371 q^{53} +(2.32997 - 6.96931i) q^{54} -1.69283i q^{55} +(-3.25184 - 0.749801i) q^{56} +(7.69655 + 6.02458i) q^{57} +(-2.06596 + 4.56963i) q^{58} +(6.11816 - 3.53232i) q^{59} +(-0.198884 - 3.45839i) q^{60} +(2.33213 + 1.34646i) q^{61} +(0.769572 - 0.552423i) q^{62} +(-0.981886 + 3.40068i) q^{63} +(6.62983 - 4.47720i) q^{64} +(-0.622400 - 0.359343i) q^{65} +(-1.92234 - 3.67406i) q^{66} +(-7.74884 - 13.4214i) q^{67} +(1.59532 + 7.95209i) q^{68} +(1.00215 - 7.08353i) q^{69} +(0.164910 + 1.66041i) q^{70} -10.1211 q^{71} +(-4.35890 - 7.28011i) q^{72} -7.59376 q^{73} +(-1.57941 - 15.9024i) q^{74} +(-1.60652 + 0.647364i) q^{75} +(11.0656 - 2.21995i) q^{76} +(0.998659 + 1.72973i) q^{77} +(-1.75889 - 0.0731235i) q^{78} +(-11.3263 - 6.53925i) q^{79} +(-3.18138 - 2.42463i) q^{80} +(-7.96198 + 4.19606i) q^{81} +(-1.25145 + 0.898327i) q^{82} +(-12.0184 - 6.93884i) q^{83} +(2.24344 + 3.41643i) q^{84} +(3.51196 - 2.02763i) q^{85} +(-1.62007 + 3.58337i) q^{86} +(5.69690 - 2.29562i) q^{87} +(-4.66564 - 1.07579i) q^{88} +4.96883i q^{89} +(-2.75161 + 3.22934i) q^{90} +0.847953 q^{91} +(-5.45690 - 6.20187i) q^{92} +(-1.14878 - 0.162526i) q^{93} +(3.10402 - 6.86567i) q^{94} +(-2.82153 - 4.88703i) q^{95} +(-9.65809 - 1.64965i) q^{96} +(-0.862865 + 1.49453i) q^{97} +(4.62479 + 6.44273i) q^{98} +(-1.40878 + 4.87919i) 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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