LMFDB - Embedded newform 300.2.r.a.179.38

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [300,2,Mod(59,300)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(300, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 7]))

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

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

chi := DirichletCharacter("300.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.r (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.39551206064$
Analytic rank:	$0$
Dimension:	$224$
Relative dimension:	$56$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			179.38
Character	$\chi$	$=$	300.179
Dual form			300.2.r.a.119.38

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.665414 + 1.24789i) q^{2} +(1.31594 - 1.12619i) q^{3} +(-1.11445 + 1.66072i) q^{4} +(2.18921 + 0.455347i) q^{5} +(2.28100 + 0.892759i) q^{6} -0.246481 q^{7} +(-2.81397 - 0.285636i) q^{8} +(0.463385 - 2.96400i) q^{9} +O(q^{10})$	\(q+(0.665414 + 1.24789i) q^{2} +(1.31594 - 1.12619i) q^{3} +(-1.11445 + 1.66072i) q^{4} +(2.18921 + 0.455347i) q^{5} +(2.28100 + 0.892759i) q^{6} -0.246481 q^{7} +(-2.81397 - 0.285636i) q^{8} +(0.463385 - 2.96400i) q^{9} +(0.888512 + 3.03489i) q^{10} +(-1.26970 + 3.90772i) q^{11} +(0.403750 + 3.44049i) q^{12} +(3.99376 - 1.29765i) q^{13} +(-0.164012 - 0.307581i) q^{14} +(3.39368 - 1.86627i) q^{15} +(-1.51601 - 3.70158i) q^{16} +(-1.31423 + 0.954847i) q^{17} +(4.00708 - 1.39403i) q^{18} +(-3.07602 - 4.23377i) q^{19} +(-3.19597 + 3.12822i) q^{20} +(-0.324354 + 0.277585i) q^{21} +(-5.72127 + 1.01582i) q^{22} +(-0.275788 - 0.0896090i) q^{23} +(-4.02469 + 2.79319i) q^{24} +(4.58532 + 1.99371i) q^{25} +(4.27683 + 4.12029i) q^{26} +(-2.72824 - 4.42230i) q^{27} +(0.274691 - 0.409338i) q^{28} +(-3.35289 + 4.61486i) q^{29} +(4.58709 + 2.99309i) q^{30} +(-2.15241 - 2.96253i) q^{31} +(3.61038 - 4.35490i) q^{32} +(2.73000 + 6.57224i) q^{33} +(-2.06605 - 1.00465i) q^{34} +(-0.539600 - 0.112235i) q^{35} +(4.40596 + 4.07277i) q^{36} +(-3.54844 + 1.15296i) q^{37} +(3.23645 - 6.65574i) q^{38} +(3.79414 - 6.20537i) q^{39} +(-6.03031 - 1.90665i) q^{40} +(6.74545 - 2.19173i) q^{41} +(-0.562225 - 0.220048i) q^{42} -5.82052 q^{43} +(-5.07464 - 6.46356i) q^{44} +(2.36410 - 6.27782i) q^{45} +(-0.0716913 - 0.403780i) q^{46} +(-1.31078 + 1.80414i) q^{47} +(-6.16367 - 3.16373i) q^{48} -6.93925 q^{49} +(0.563214 + 7.04860i) q^{50} +(-0.654110 + 2.73660i) q^{51} +(-2.29580 + 8.07871i) q^{52} +(-6.78949 - 4.93285i) q^{53} +(3.70312 - 6.34720i) q^{54} +(-4.55901 + 7.97668i) q^{55} +(0.693590 + 0.0704039i) q^{56} +(-8.81589 - 2.10720i) q^{57} +(-7.98989 - 1.11324i) q^{58} +(1.91013 + 5.87878i) q^{59} +(-0.682724 + 7.71582i) q^{60} +(3.54587 - 10.9131i) q^{61} +(2.26467 - 4.65727i) q^{62} +(-0.114216 + 0.730570i) q^{63} +(7.83682 + 1.60754i) q^{64} +(9.33409 - 1.02229i) q^{65} +(-6.38483 + 7.78000i) q^{66} +(5.77139 - 4.19316i) q^{67} +(-0.121093 - 3.24671i) q^{68} +(-0.463837 + 0.192670i) q^{69} +(-0.219002 - 0.748043i) q^{70} +(-12.8785 - 9.35677i) q^{71} +(-2.15057 + 8.20823i) q^{72} +(5.72041 + 1.85868i) q^{73} +(-3.79995 - 3.66086i) q^{74} +(8.27929 - 2.54035i) q^{75} +(10.4592 - 0.390097i) q^{76} +(0.312956 - 0.963180i) q^{77} +(10.2683 + 0.605517i) q^{78} +(5.94119 - 8.17734i) q^{79} +(-1.63337 - 8.79387i) q^{80} +(-8.57055 - 2.74694i) q^{81} +(7.22355 + 6.95915i) q^{82} +(10.0850 + 13.8808i) q^{83} +(-0.0995168 - 0.848017i) q^{84} +(-3.31193 + 1.49193i) q^{85} +(-3.87305 - 7.26335i) q^{86} +(0.785019 + 9.84887i) q^{87} +(4.68907 - 10.6335i) q^{88} +(6.78124 + 2.20336i) q^{89} +(9.40712 - 1.22722i) q^{90} +(-0.984388 + 0.319847i) q^{91} +(0.456167 - 0.358143i) q^{92} +(-6.16881 - 1.47449i) q^{93} +(-3.12357 - 0.435211i) q^{94} +(-4.80622 - 10.6693i) q^{95} +(-0.153411 - 9.79676i) q^{96} +(-10.0253 + 13.7987i) q^{97} +(-4.61747 - 8.65940i) q^{98} +(10.9941 + 5.57415i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9}+O(q^{10}) $ 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9	$ 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9} - 5 q^{12} - 20 q^{13} + 6 q^{16} - 24 q^{21} - 10 q^{22} - 28 q^{24} - 20 q^{25} - 50 q^{28} - 25 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 60 q^{37} - 20 q^{40} - 85 q^{42} - 30 q^{45} + 6 q^{46} - 70 q^{48} + 88 q^{49} + 40 q^{52} - 46 q^{54} + 50 q^{58} + 10 q^{60} - 28 q^{61} + 18 q^{64} + 64 q^{66} - 42 q^{69} - 40 q^{70} - 5 q^{72} - 20 q^{73} - 80 q^{76} - 85 q^{78} + 18 q^{81} - 48 q^{84} - 20 q^{85} + 50 q^{88} - 60 q^{90} + 60 q^{94} + 44 q^{96} - 120 q^{97}+O(q^{100}) $ 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9 - 5 * q^12 - 20 * q^13 + 6 * q^16 - 24 * q^21 - 10 * q^22 - 28 * q^24 - 20 * q^25 - 50 * q^28 - 25 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 60 * q^37 - 20 * q^40 - 85 * q^42 - 30 * q^45 + 6 * q^46 - 70 * q^48 + 88 * q^49 + 40 * q^52 - 46 * q^54 + 50 * q^58 + 10 * q^60 - 28 * q^61 + 18 * q^64 + 64 * q^66 - 42 * q^69 - 40 * q^70 - 5 * q^72 - 20 * q^73 - 80 * q^76 - 85 * q^78 + 18 * q^81 - 48 * q^84 - 20 * q^85 + 50 * q^88 - 60 * q^90 + 60 * q^94 + 44 * q^96 - 120 * q^97

Display 100 coefficients 10 coefficients

Character values

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

$n$	$101$	$151$	$277$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{1}{10}\right)$

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 $

$2$	0.665414	+	1.24789i	0.470519	+	0.882390i
$2$	0.665414	+	1.24789i	0.470519	+	0.882390i
$3$	1.31594	−	1.12619i	0.759757	−	0.650207i
$3$	1.31594	−	1.12619i	0.759757	−	0.650207i
$4$	−1.11445	+	1.66072i	−0.557224	+	0.830362i
$5$	2.18921	+	0.455347i	0.979046	+	0.203638i
$5$	2.18921	+	0.455347i	0.979046	+	0.203638i
$6$	2.28100	+	0.892759i	0.931216	+	0.364467i
$7$	−0.246481			−0.0931612			−0.0465806	−	0.998915i	$-0.514832\pi$
$7$	−0.246481			−0.0931612			−0.0465806	+	0.998915i	$0.514832\pi$
$8$	−2.81397	−	0.285636i	−0.994888	−	0.100988i
$9$	0.463385	−	2.96400i	0.154462	−	0.987999i
$10$	0.888512	+	3.03489i	0.280972	+	0.959716i
$11$	−1.26970	+	3.90772i	−0.382828	+	1.17822i	0.555216	+	0.831706i	$0.312635\pi$
$11$	−1.26970	+	3.90772i	−0.382828	+	1.17822i	−0.938044	+	0.346516i	$0.887365\pi$
$12$	0.403750	+	3.44049i	0.116553	+	0.993185i
$13$	3.99376	−	1.29765i	1.10767	−	0.359904i	0.302621	−	0.953111i	$-0.402138\pi$
$13$	3.99376	−	1.29765i	1.10767	−	0.359904i	0.805050	+	0.593207i	$0.202138\pi$
$14$	−0.164012	−	0.307581i	−0.0438341	−	0.0822045i
$15$	3.39368	−	1.86627i	0.876244	−	0.481868i
$16$	−1.51601	−	3.70158i	−0.379003	−	0.925395i
$17$	−1.31423	+	0.954847i	−0.318749	+	0.231584i	−0.735641	−	0.677371i	$-0.763119\pi$
$17$	−1.31423	+	0.954847i	−0.318749	+	0.231584i	0.416893	+	0.908956i	$0.363119\pi$
$18$	4.00708	−	1.39403i	0.944477	−	0.328577i
$19$	−3.07602	−	4.23377i	−0.705686	−	0.971294i	−0.999879	−	0.0155480i	$-0.995051\pi$
$19$	−3.07602	−	4.23377i	−0.705686	−	0.971294i	0.294193	−	0.955746i	$-0.404949\pi$
$20$	−3.19597	+	3.12822i	−0.714641	+	0.699491i
$21$	−0.324354	+	0.277585i	−0.0707799	+	0.0605740i
$22$	−5.72127	+	1.01582i	−1.21978	+	0.216573i
$23$	−0.275788	−	0.0896090i	−0.0575058	−	0.0186848i	0.280123	−	0.959964i	$-0.409625\pi$
$23$	−0.275788	−	0.0896090i	−0.0575058	−	0.0186848i	−0.337629	+	0.941279i	$0.609625\pi$
$24$	−4.02469	+	2.79319i	−0.821536	+	0.570157i
$25$	4.58532	+	1.99371i	0.917064	+	0.398741i
$26$	4.27683	+	4.12029i	0.838756	+	0.808056i
$27$	−2.72824	−	4.42230i	−0.525050	−	0.851071i
$28$	0.274691	−	0.409338i	0.0519116	−	0.0773575i
$29$	−3.35289	+	4.61486i	−0.622617	+	0.856958i	−0.997540	−	0.0700974i	$-0.977669\pi$
$29$	−3.35289	+	4.61486i	−0.622617	+	0.856958i	0.374923	+	0.927056i	$0.377669\pi$
$30$	4.58709	+	2.99309i	0.837485	+	0.546461i
$31$	−2.15241	−	2.96253i	−0.386584	−	0.532087i	0.570730	−	0.821138i	$-0.306660\pi$
$31$	−2.15241	−	2.96253i	−0.386584	−	0.532087i	−0.957314	+	0.289051i	$0.906660\pi$
$32$	3.61038	−	4.35490i	0.638231	−	0.769845i
$33$	2.73000	+	6.57224i	0.475232	+	1.14408i
$34$	−2.06605	−	1.00465i	−0.354325	−	0.172296i
$35$	−0.539600	−	0.112235i	−0.0912091	−	0.0189711i
$36$	4.40596	+	4.07277i	0.734327	+	0.678796i
$37$	−3.54844	+	1.15296i	−0.583361	+	0.189545i	−0.585806	−	0.810452i	$-0.699222\pi$
$37$	−3.54844	+	1.15296i	−0.583361	+	0.189545i	0.00244493	+	0.999997i	$0.499222\pi$
$38$	3.23645	−	6.65574i	0.525021	−	1.07970i
$39$	3.79414	−	6.20537i	0.607549	−	0.993655i
$40$	−6.03031	−	1.90665i	−0.953476	−	0.301468i
$41$	6.74545	−	2.19173i	1.05346	−	0.342291i	0.269436	−	0.963018i	$-0.413163\pi$
$41$	6.74545	−	2.19173i	1.05346	−	0.342291i	0.784026	+	0.620728i	$0.213163\pi$
$42$	−0.562225	−	0.220048i	−0.0867532	−	0.0339542i
$43$	−5.82052			−0.887621			−0.443810	−	0.896121i	$-0.646374\pi$
$43$	−5.82052			−0.887621			−0.443810	+	0.896121i	$0.646374\pi$
$44$	−5.07464	−	6.46356i	−0.765031	−	0.974419i
$45$	2.36410	−	6.27782i	0.352419	−	0.935842i
$46$	−0.0716913	−	0.403780i	−0.0105703	−	0.0595340i
$47$	−1.31078	+	1.80414i	−0.191197	+	0.263160i	−0.893844	−	0.448379i	$-0.852002\pi$
$47$	−1.31078	+	1.80414i	−0.191197	+	0.263160i	0.702646	+	0.711539i	$0.252002\pi$
$48$	−6.16367	−	3.16373i	−0.889649	−	0.456645i
$49$	−6.93925			−0.991321
$50$	0.563214	+	7.04860i	0.0796505	+	0.996823i
$51$	−0.654110	+	2.73660i	−0.0915937	+	0.383200i
$52$	−2.29580	+	8.07871i	−0.318370	+	1.12032i
$53$	−6.78949	−	4.93285i	−0.932608	−	0.677580i	0.0140218	−	0.999902i	$-0.495537\pi$
$53$	−6.78949	−	4.93285i	−0.932608	−	0.677580i	−0.946630	+	0.322322i	$0.895537\pi$
$54$	3.70312	−	6.34720i	0.503930	−	0.863744i
$55$	−4.55901	+	7.97668i	−0.614736	+	1.07558i
$56$	0.693590	+	0.0704039i	0.0926849	+	0.00940812i
$57$	−8.81589	−	2.10720i	−1.16769	−	0.279105i
$58$	−7.98989	−	1.11324i	−1.04912	−	0.146176i
$59$	1.91013	+	5.87878i	0.248678	+	0.765352i	0.995010	+	0.0997779i	$0.0318132\pi$
$59$	1.91013	+	5.87878i	0.248678	+	0.765352i	−0.746332	+	0.665574i	$0.768187\pi$
$60$	−0.682724	+	7.71582i	−0.0881393	+	0.996108i
$61$	3.54587	−	10.9131i	0.454002	−	1.39728i	−0.418300	−	0.908309i	$-0.637374\pi$
$61$	3.54587	−	10.9131i	0.454002	−	1.39728i	0.872302	−	0.488967i	$-0.162626\pi$
$62$	2.26467	−	4.65727i	0.287613	−	0.591474i
$63$	−0.114216	+	0.730570i	−0.0143898	+	0.0920431i
$64$	7.83682	+	1.60754i	0.979603	+	0.200943i
$65$	9.33409	−	1.02229i	1.15775	−	0.126799i
$66$	−6.38483	+	7.78000i	−0.785919	+	0.957651i
$67$	5.77139	−	4.19316i	0.705087	−	0.512276i	−0.176498	−	0.984301i	$-0.556477\pi$
$67$	5.77139	−	4.19316i	0.705087	−	0.512276i	0.881585	+	0.472025i	$0.156477\pi$
$68$	−0.121093	−	3.24671i	−0.0146846	−	0.393721i
$69$	−0.463837	+	0.192670i	−0.0558394	+	0.0231948i
$70$	−0.219002	−	0.748043i	−0.0261757	−	0.0894083i
$71$	−12.8785	−	9.35677i	−1.52840	−	1.11044i	−0.957122	−	0.289686i	$-0.906449\pi$
$71$	−12.8785	−	9.35677i	−1.52840	−	1.11044i	−0.571274	−	0.820759i	$-0.693551\pi$
$72$	−2.15057	+	8.20823i	−0.253448	+	0.967349i
$73$	5.72041	+	1.85868i	0.669524	+	0.217541i	0.624003	−	0.781422i	$-0.285505\pi$
$73$	5.72041	+	1.85868i	0.669524	+	0.217541i	0.0455208	+	0.998963i	$0.485505\pi$
$74$	−3.79995	−	3.66086i	−0.441735	−	0.425567i
$75$	8.27929	−	2.54035i	0.956010	−	0.293335i
$76$	10.4592	−	0.390097i	1.19975	−	0.0447471i
$77$	0.312956	−	0.963180i	0.0356647	−	0.109765i
$78$	10.2683	+	0.605517i	1.16265	+	0.0685613i
$79$	5.94119	−	8.17734i	0.668436	−	0.920023i	−0.331288	−	0.943530i	$-0.607483\pi$
$79$	5.94119	−	8.17734i	0.668436	−	0.920023i	0.999724	+	0.0235069i	$0.00748317\pi$
$80$	−1.63337	−	8.79387i	−0.182616	−	0.983184i
$81$	−8.57055	−	2.74694i	−0.952283	−	0.305216i
$82$	7.22355	+	6.95915i	0.797707	+	0.768510i
$83$	10.0850	+	13.8808i	1.10697	+	1.52361i	0.825805	+	0.563955i	$0.190721\pi$
$83$	10.0850	+	13.8808i	1.10697	+	1.52361i	0.281165	+	0.959659i	$0.409279\pi$
$84$	−0.0995168	−	0.848017i	−0.0108582	−	0.0925262i
$85$	−3.31193	+	1.49193i	−0.359229	+	0.161823i
$86$	−3.87305	−	7.26335i	−0.417642	−	0.783227i
$87$	0.785019	+	9.84887i	0.0841629	+	1.05591i
$88$	4.68907	−	10.6335i	0.499856	−	1.13354i
$89$	6.78124	+	2.20336i	0.718810	+	0.233555i	0.645507	−	0.763754i	$-0.276646\pi$
$89$	6.78124	+	2.20336i	0.718810	+	0.233555i	0.0733027	+	0.997310i	$0.476646\pi$
$90$	9.40712	−	1.22722i	0.991598	−	0.129361i
$91$	−0.984388	+	0.319847i	−0.103192	+	0.0335291i
$92$	0.456167	−	0.358143i	0.0475587	−	0.0373390i
$93$	−6.16881	−	1.47449i	−0.639676	−	0.152897i
$94$	−3.12357	−	0.435211i	−0.322172	−	0.0448886i
$95$	−4.80622	−	10.6693i	−0.493108	−	1.09465i
$96$	−0.153411	−	9.79676i	−0.0156574	−	0.999877i
$97$	−10.0253	+	13.7987i	−1.01792	+	1.40105i	−0.104267	+	0.994549i	$0.533250\pi$
$97$	−10.0253	+	13.7987i	−1.01792	+	1.40105i	−0.913652	+	0.406496i	$0.866750\pi$
$98$	−4.61747	−	8.65940i	−0.466435	−	0.874732i
$99$	10.9941	+	5.57415i	1.10495	+	0.560223i
$100$	−8.42109	+	5.39307i	−0.842109	+	0.539307i
$101$		−	7.63713i		−	0.759923i	−0.925002	−	0.379962i	$-0.875937\pi$
$101$		−	7.63713i		−	0.759923i	0.925002	−	0.379962i	$-0.124063\pi$
$102$	−3.85022	+	1.00472i	−0.381229	+	0.0994817i
$103$	6.02762	+	4.37932i	0.593919	+	0.431507i	0.843715	−	0.536791i	$-0.180364\pi$
$103$	6.02762	+	4.37932i	0.593919	+	0.431507i	−0.249796	+	0.968298i	$0.580364\pi$
$104$	−11.6090	+	2.51079i	−1.13835	+	0.246203i
$105$	−0.836478	+	0.460000i	−0.0816319	+	0.0448914i
$106$	1.63782	−	11.7549i	0.159080	−	1.14174i
$107$			7.94261i			0.767841i	0.923366	+	0.383921i	$0.125426\pi$
$107$			7.94261i			0.767841i	−0.923366	+	0.383921i	$0.874574\pi$
$108$	10.3847	+	0.397559i	0.999268	+	0.0382551i
$109$	−2.21780	−	6.82569i	−0.212427	−	0.653782i	−0.999326	−	0.0367011i	$-0.988315\pi$
$109$	−2.21780	−	6.82569i	−0.212427	−	0.653782i	0.786900	−	0.617081i	$-0.211685\pi$
$110$	−12.9876	−	0.381327i	−1.23832	−	0.0363581i
$111$	−3.37108	+	5.51345i	−0.319969	+	0.523314i
$112$	0.373669	+	0.912371i	0.0353084	+	0.0862109i
$113$	4.57733	+	14.0876i	0.430599	+	1.32525i	0.897530	+	0.440954i	$0.145360\pi$
$113$	4.57733	+	14.0876i	0.430599	+	1.32525i	−0.466931	+	0.884294i	$0.654640\pi$
$114$	−3.23667	−	12.4034i	−0.303142	−	1.16168i
$115$	−0.562956	−	0.321753i	−0.0524959	−	0.0300036i
$116$	−3.92739	−	10.7113i	−0.364649	−	0.994515i
$117$	−1.99559	−	12.4388i	−0.184492	−	1.14997i
$118$	−6.06503	+	6.29545i	−0.558331	+	0.579543i
$119$	0.323934	−	0.235352i	0.0296950	−	0.0215747i
$120$	−10.0828	+	4.28225i	−0.920427	+	0.390915i
$121$	−4.75897	−	3.45759i	−0.432633	−	0.314327i
$122$	15.9778	−	2.83686i	1.44656	−	0.256837i
$123$	6.40828	−	10.4808i	0.577815	−	0.945026i
$124$	7.31870	−	0.272966i	0.657238	−	0.0245130i
$125$	9.13041	+	6.45256i	0.816649	+	0.577135i
$126$	−0.987670	+	0.343603i	−0.0879886	+	0.0306106i
$127$	−4.54072	+	13.9749i	−0.402924	+	1.24007i	0.519693	+	0.854353i	$0.326046\pi$
$127$	−4.54072	+	13.9749i	−0.402924	+	1.24007i	−0.922617	+	0.385718i	$0.873954\pi$
$128$	3.20870	+	10.8492i	0.283612	+	0.958939i
$129$	−7.65944	+	6.55502i	−0.674376	+	0.577137i
$130$	7.48674	+	10.9676i	0.656630	+	0.961926i
$131$	8.33739	−	6.05747i	0.728441	−	0.529243i	−0.160629	−	0.987015i	$-0.551352\pi$
$131$	8.33739	−	6.05747i	0.728441	−	0.529243i	0.889070	+	0.457771i	$0.151352\pi$
$132$	−13.9571	−	2.79063i	−1.21481	−	0.242894i
$133$	0.758180	+	1.04355i	0.0657426	+	0.0904869i
$134$	9.07295	+	4.41186i	0.783784	+	0.381126i
$135$	−3.95903	−	10.9236i	−0.340739	−	0.940158i
$136$	3.97095	−	2.31152i	0.340506	−	0.198211i
$137$	−3.71363	−	11.4294i	−0.317277	−	0.976477i	−0.974807	−	0.223049i	$-0.928399\pi$
$137$	−3.71363	−	11.4294i	−0.317277	−	0.976477i	0.657531	−	0.753428i	$-0.271601\pi$
$138$	−0.549074	−	0.450611i	−0.0467403	−	0.0383585i
$139$	3.61357	+	1.17412i	0.306499	+	0.0995876i	0.458228	−	0.888834i	$-0.348484\pi$
$139$	3.61357	+	1.17412i	0.306499	+	0.0995876i	−0.151729	+	0.988422i	$0.548484\pi$
$140$	0.787747	−	0.771048i	0.0665768	−	0.0651654i
$141$	0.306896	+	3.85032i	0.0258453	+	0.324256i
$142$	3.10667	−	22.2970i	0.260706	−	1.87113i
$143$			17.2541i			1.44286i
$144$	−11.6740	+	2.77820i	−0.972831	+	0.231516i
$145$	−9.44157	+	8.57619i	−0.784080	+	0.712214i
$146$	1.48703	+	8.37522i	0.123067	+	0.693138i
$147$	−9.13162	+	7.81492i	−0.753163	+	0.644564i
$148$	2.03981	−	7.17790i	0.167671	−	0.590020i
$149$			21.6852i			1.77652i	0.459343	+	0.888259i	$0.348085\pi$
$149$			21.6852i			1.77652i	−0.459343	+	0.888259i	$0.651915\pi$
$150$	8.67923	+	8.64123i	0.708656	+	0.705554i
$151$			2.19919i			0.178967i	0.995988	+	0.0894837i	$0.0285217\pi$
$151$			2.19919i			0.178967i	−0.995988	+	0.0894837i	$0.971478\pi$
$152$	7.44649	+	12.7923i	0.603990	+	1.03759i
$153$	2.22117	+	4.33785i	0.179571	+	0.350694i
$154$	1.41019	−	0.250380i	0.113636	−	0.0201762i
$155$	−3.36310	−	7.46571i	−0.270130	−	0.599661i
$156$	6.07704	+	13.2166i	0.486553	+	1.05817i
$157$			6.23185i			0.497356i	0.968586	+	0.248678i	$0.0799961\pi$
$157$			6.23185i			0.497356i	−0.968586	+	0.248678i	$0.920004\pi$
$158$	14.1578	+	1.97261i	1.12633	+	0.156933i
$159$	−14.4899	+	1.15494i	−1.14912	+	0.0915926i
$160$	9.88689	−	7.88983i	0.781627	−	0.623746i
$161$	0.0679766	+	0.0220869i	0.00535731	+	0.00174069i
$162$	−2.27509	−	12.5229i	−0.178748	−	0.983895i
$163$	6.19937	+	19.0797i	0.485572	+	1.49444i	0.831150	+	0.556048i	$0.187683\pi$
$163$	6.19937	+	19.0797i	0.485572	+	1.49444i	−0.345578	+	0.938390i	$0.612317\pi$
$164$	−3.87759	+	13.6449i	−0.302789	+	1.06549i
$165$	2.98391	+	15.6311i	0.232297	+	1.21688i
$166$	−10.6110	+	21.8214i	−0.823571	+	1.69367i
$167$	0.181596	+	0.249946i	0.0140523	+	0.0193414i	0.815985	−	0.578073i	$-0.196195\pi$
$167$	0.181596	+	0.249946i	0.0140523	+	0.0193414i	−0.801933	+	0.597414i	$0.796195\pi$
$168$	0.992010	−	0.688468i	0.0765352	−	0.0531165i
$169$	3.74902	−	2.72382i	0.288386	−	0.209525i
$170$	−4.06557	−	3.14016i	−0.311815	−	0.240839i
$171$	−13.9743	+	7.15543i	−1.06864	+	0.547190i
$172$	6.48666	−	9.66628i	0.494603	−	0.737047i
$173$	0.316567	−	0.974293i	0.0240681	−	0.0740741i	−0.938301	−	0.345820i	$-0.887601\pi$
$173$	0.316567	−	0.974293i	0.0240681	−	0.0740741i	0.962369	+	0.271746i	$0.0876009\pi$
$174$	−11.7679	+	7.53320i	−0.892124	+	0.571090i
$175$	−1.13019	−	0.491411i	−0.0854347	−	0.0371472i
$176$	16.3896	−	1.22427i	1.23541	−	0.0922829i
$177$	9.13425	+	5.58493i	0.686572	+	0.419789i
$178$	1.76279	+	9.92837i	0.132127	+	0.744163i
$179$	1.64924	+	1.19825i	0.123270	+	0.0895611i	0.647712	−	0.761885i	$-0.275726\pi$
$179$	1.64924	+	1.19825i	0.123270	+	0.0895611i	−0.524442	+	0.851446i	$0.675726\pi$
$180$	7.79107	+	10.9224i	0.580712	+	0.814109i
$181$	−3.35962	+	2.44090i	−0.249718	+	0.181431i	−0.705602	−	0.708608i	$-0.749323\pi$
$181$	−3.35962	+	2.44090i	−0.249718	+	0.181431i	0.455884	+	0.890039i	$0.349323\pi$
$182$	−1.05416	−	1.01557i	−0.0781395	−	0.0752794i
$183$	−7.62406	−	18.3543i	−0.563587	−	1.35679i
$184$	0.750463	+	0.330932i	0.0553249	+	0.0243966i
$185$	−8.29330	+	0.908300i	−0.609736	+	0.0667796i
$186$	−2.26482	−	8.67913i	−0.166065	−	0.636385i
$187$	−2.06260	−	6.34802i	−0.150832	−	0.464213i
$188$	−1.53538	−	4.18747i	−0.111979	−	0.305402i
$189$	0.672461	+	1.09001i	0.0489143	+	0.0792868i
$190$	10.1160	−	13.0971i	0.733888	−	0.950165i
$191$	−3.75858	−	11.5677i	−0.271961	−	0.837010i	−0.990007	−	0.141015i	$-0.954964\pi$
$191$	−3.75858	−	11.5677i	−0.271961	−	0.837010i	0.718047	−	0.695995i	$-0.245036\pi$
$192$	12.1232	−	6.71034i	0.874915	−	0.484277i
$193$		−	18.6477i		−	1.34229i	−0.741325	−	0.671146i	$-0.765802\pi$
$193$		−	18.6477i		−	1.34229i	0.741325	−	0.671146i	$-0.234198\pi$
$194$	−23.8902	−	3.32865i	−1.71522	−	0.238983i
$195$	11.1318	−	11.8572i	0.797164	−	0.849114i
$196$	7.73343	−	11.5242i	0.552388	−	0.823156i
$197$	2.04615	+	1.48662i	0.145782	+	0.105917i	0.658286	−	0.752768i	$-0.271282\pi$
$197$	2.04615	+	1.48662i	0.145782	+	0.105917i	−0.512504	+	0.858685i	$0.671282\pi$
$198$	0.359723	+	17.4285i	0.0255644	+	1.23859i
$199$			6.54235i			0.463775i	0.972743	+	0.231888i	$0.0744901\pi$
$199$			6.54235i			0.463775i	−0.972743	+	0.231888i	$0.925510\pi$
$200$	−12.3335	−	6.91995i	−0.872107	−	0.489315i
$201$	2.87249	−	12.0176i	0.202610	−	0.847658i
$202$	9.53028	−	5.08186i	0.670548	−	0.357558i
$203$	0.826426	−	1.13748i	0.0580037	−	0.0798352i
$204$	−3.81577	−	4.13609i	−0.267157	−	0.289584i
$205$	15.7652	−	1.72664i	1.10109	−	0.120594i
$206$	−1.45404	+	10.4359i	−0.101308	+	0.727100i
$207$	−0.393397	+	0.775911i	−0.0273430	+	0.0539296i
$208$	−10.8580	−	12.8160i	−0.752864	−	0.888629i
$209$	20.4500	−	6.64461i	1.41456	−	0.459617i
$210$	−1.13063	−	0.737741i	−0.0780210	−	0.0509089i
$211$	25.3342	+	8.23159i	1.74408	+	0.566686i	0.995362	−	0.0962019i	$-0.0306694\pi$
$211$	25.3342	+	8.23159i	1.74408	+	0.566686i	0.748719	+	0.662888i	$0.230669\pi$
$212$	15.7586	−	5.77807i	1.08231	−	0.396839i
$213$	−27.4848	+	2.19072i	−1.88323	+	0.150106i
$214$	−9.91149	+	5.28513i	−0.677536	+	0.361284i
$215$	−12.7424	−	2.65036i	−0.869022	−	0.180753i
$216$	6.41402	+	13.2235i	0.436419	+	0.899744i
$217$	0.530528	+	0.730209i	0.0360146	+	0.0495698i
$218$	7.04193	−	7.30947i	0.476940	−	0.495060i
$219$	9.62093	−	3.99638i	0.650122	−	0.270050i
$220$	−8.16630	−	16.4609i	−0.550572	−	1.10979i
$221$	−4.00968	+	5.51885i	−0.269720	+	0.371238i
$222$	−9.12333	−	0.537999i	−0.612318	−	0.0361082i
$223$	6.10431	−	18.7871i	0.408775	−	1.25808i	−0.508927	−	0.860809i	$-0.669958\pi$
$223$	6.10431	−	18.7871i	0.408775	−	1.25808i	0.917702	−	0.397269i	$-0.130042\pi$
$224$	−0.889892	+	1.07340i	−0.0594584	+	0.0717196i
$225$	8.03410	−	12.6670i	0.535607	−	0.844467i
$226$	−14.5339	+	15.0861i	−0.966780	+	1.00351i
$227$	13.0710	+	4.24704i	0.867556	+	0.281886i	0.708781	−	0.705429i	$-0.249246\pi$
$227$	13.0710	+	4.24704i	0.867556	+	0.281886i	0.158775	+	0.987315i	$0.449246\pi$
$228$	13.3243	−	12.2924i	0.882425	−	0.814084i
$229$	19.9299	+	14.4799i	1.31700	+	0.956858i	0.999964	+	0.00844498i	$0.00268815\pi$
$229$	19.9299	+	14.4799i	1.31700	+	0.956858i	0.317038	+	0.948413i	$0.397312\pi$
$230$	0.0269122	−	0.916604i	0.00177454	−	0.0604391i
$231$	−0.672894	−	1.61993i	−0.0442732	−	0.106584i
$232$	10.7531	−	12.0284i	0.705976	−	0.789701i
$233$	−15.5693	+	11.3117i	−1.01998	+	0.741057i	−0.966278	−	0.257501i	$-0.917101\pi$
$233$	−15.5693	+	11.3117i	−1.01998	+	0.741057i	−0.0536988	+	0.998557i	$0.517101\pi$
$234$	14.1944	−	10.7672i	0.927914	−	0.703876i
$235$	−3.69109	+	3.35278i	−0.240780	+	0.218711i
$236$	−11.8918	−	3.37939i	−0.774089	−	0.219980i
$237$	−1.39102	−	17.4518i	−0.0903565	−	1.13362i
$238$	0.509243	+	0.247627i	0.0330093	+	0.0160513i
$239$	−1.33007	+	4.09355i	−0.0860353	+	0.264790i	−0.984814	−	0.173613i	$-0.944456\pi$
$239$	−1.33007	+	4.09355i	−0.0860353	+	0.264790i	0.898779	+	0.438403i	$0.144456\pi$
$240$	−12.0530	−	9.73270i	−0.778017	−	0.628243i
$241$	−2.94922	−	9.07678i	−0.189976	−	0.584687i	0.810022	−	0.586399i	$-0.199455\pi$
$241$	−2.94922	−	9.07678i	−0.189976	−	0.584687i	−0.999999	+	0.00171228i	$0.999455\pi$
$242$	1.14800	−	8.23939i	0.0737964	−	0.529648i
$243$	−14.3719	+	6.03727i	−0.921957	+	0.387291i
$244$	14.1719	+	18.0508i	0.907264	+	1.15558i
$245$	−15.1915	−	3.15977i	−0.970549	−	0.201870i
$246$	17.3431	+	1.02271i	1.10575	+	0.0652059i
$247$	−17.7788	−	12.9171i	−1.13124	−	0.821895i
$248$	5.21060	+	8.95128i	0.330873	+	0.568407i
$249$	28.9036	+	6.90863i	1.83169	+	0.437817i
$250$	−1.97657	+	15.6874i	−0.125009	+	0.992156i
$251$	2.01118			0.126945			0.0634723	−	0.997984i	$-0.479783\pi$
$251$	2.01118			0.126945			0.0634723	+	0.997984i	$0.479783\pi$
$252$	−1.08599	−	1.00386i	−0.0684108	−	0.0632374i
$253$	0.700334	−	0.963926i	0.0440296	−	0.0606015i
$254$	−20.4606	+	3.63279i	−1.28381	+	0.227941i
$255$	−2.67809	+	5.69315i	−0.167708	+	0.356519i
$256$	−11.4034	+	11.2233i	−0.712713	+	0.701455i
$257$	−16.9850			−1.05949			−0.529747	−	0.848156i	$-0.677713\pi$
$257$	−16.9850			−1.05949			−0.529747	+	0.848156i	$0.677713\pi$
$258$	−13.2766	−	5.19632i	−0.826567	−	0.323509i
$259$	0.874625	−	0.284183i	0.0543466	−	0.0176583i
$260$	−8.70461	+	16.6406i	−0.539837	+	1.03201i
$261$	12.1248	+	12.0764i	0.750503	+	0.747512i
$262$	13.1069	+	6.37340i	0.809744	+	0.393750i
$263$	9.09644	−	2.95561i	0.560910	−	0.182251i	−0.0148204	−	0.999890i	$-0.504718\pi$
$263$	9.09644	−	2.95561i	0.560910	−	0.182251i	0.575731	+	0.817639i	$0.304718\pi$
$264$	−5.80487	−	19.2738i	−0.357265	−	1.18622i
$265$	−12.6175	−	13.8907i	−0.775086	−	0.853296i
$266$	−0.797724	+	1.64051i	−0.0489116	+	0.100586i
$267$	11.4051	−	4.73749i	0.697980	−	0.289930i
$268$	0.531771	+	14.2577i	0.0324831	+	0.870930i
$269$	−19.0852	−	26.2686i	−1.16365	−	1.60162i	−0.696754	−	0.717310i	$-0.745373\pi$
$269$	−19.0852	−	26.2686i	−1.16365	−	1.60162i	−0.466893	−	0.884314i	$-0.654627\pi$
$270$	10.9971	−	12.2092i	0.669262	−	0.743026i
$271$	10.1247	−	13.9354i	0.615031	−	0.846518i	−0.381948	−	0.924184i	$-0.624747\pi$
$271$	10.1247	−	13.9354i	0.615031	−	0.846518i	0.996979	+	0.0776657i	$0.0247467\pi$
$272$	5.52684	+	3.41719i	0.335114	+	0.207197i
$273$	−0.935184	+	1.52951i	−0.0565999	+	0.0925700i
$274$	11.7915	−	12.2395i	0.712349	−	0.739412i
$275$	−13.6128	+	15.3867i	−0.820883	+	0.927855i
$276$	0.196949	−	0.985026i	0.0118550	−	0.0592916i
$277$	9.56277	+	3.10713i	0.574571	+	0.186689i	0.581867	−	0.813284i	$-0.302322\pi$
$277$	9.56277	+	3.10713i	0.574571	+	0.186689i	−0.00729607	+	0.999973i	$0.502322\pi$
$278$	0.939351	+	5.29061i	0.0563386	+	0.317310i
$279$	−9.77833	+	5.00693i	−0.585413	+	0.299757i
$280$	1.48636	+	0.469954i	0.0888270	+	0.0280851i
$281$	−15.4094	−	21.2092i	−0.919248	−	1.26524i	−0.963909	−	0.266234i	$-0.914221\pi$
$281$	−15.4094	−	21.2092i	−0.919248	−	1.26524i	0.0446610	−	0.999002i	$-0.485779\pi$
$282$	−4.60056	+	2.94503i	−0.273959	+	0.175374i
$283$	5.95188	−	4.32430i	0.353803	−	0.257053i	−0.396660	−	0.917966i	$-0.629831\pi$
$283$	5.95188	−	4.32430i	0.353803	−	0.257053i	0.750463	+	0.660913i	$0.229831\pi$
$284$	29.8914	−	10.9600i	1.77373	−	0.650356i
$285$	−18.3404	−	8.62740i	−1.08639	−	0.511043i
$286$	−21.5312	+	11.4811i	−1.27317	+	0.678894i
$287$	−1.66263	+	0.540220i	−0.0981417	+	0.0318882i
$288$	−11.2349	−	12.7192i	−0.662023	−	0.749483i
$289$	−4.43781	+	13.6582i	−0.261048	+	0.803422i
$290$	−16.9847	−	6.07530i	−0.997375	−	0.356754i
$291$	2.34725	+	29.4487i	0.137598	+	1.72631i
$292$	−9.46185	+	7.42864i	−0.553713	+	0.434728i
$293$	6.60240			0.385716			0.192858	−	0.981227i	$-0.438224\pi$
$293$	6.60240			0.385716			0.192858	+	0.981227i	$0.438224\pi$
$294$	−15.8285	−	6.19507i	−0.923134	−	0.361304i
$295$	1.50480	+	13.7397i	0.0876128	+	0.799955i
$296$	10.3145	−	2.23083i	0.599520	−	0.129664i
$297$	20.7451	−	5.04624i	1.20375	−	0.292812i
$298$	−27.0607	+	14.4296i	−1.56758	+	0.835885i
$299$	−1.21771			−0.0704222
$300$	−5.00801	+	16.5807i	−0.289137	+	0.957288i
$301$	1.43465			0.0826918
$302$	−2.74434	+	1.46337i	−0.157919	+	0.0842075i
$303$	−8.60087	−	10.0500i	−0.494107	−	0.577357i
$304$	−11.0084	+	17.8046i	−0.631374	+	1.02116i
$305$	12.7319	−	22.2764i	0.729027	−	1.27555i
$306$	−3.93515	+	5.65823i	−0.224958	+	0.323460i
$307$	8.01588			0.457490			0.228745	−	0.973486i	$-0.426538\pi$
$307$	8.01588			0.457490			0.228745	+	0.973486i	$0.426538\pi$
$308$	1.25080	+	1.59315i	0.0712711	+	0.0907780i
$309$	12.8639	−	1.02534i	0.731803	−	0.0583295i
$310$	7.07852	−	9.16456i	0.402033	−	0.520512i
$311$	2.71931	−	8.36916i	0.154198	−	0.474572i	−0.843881	−	0.536530i	$-0.819735\pi$
$311$	2.71931	−	8.36916i	0.154198	−	0.474572i	0.998079	+	0.0619587i	$0.0197347\pi$
$312$	−12.4491	+	16.3780i	−0.704789	+	0.927220i
$313$	−11.9417	+	3.88011i	−0.674987	+	0.219317i	−0.626399	−	0.779502i	$-0.715472\pi$
$313$	−11.9417	+	3.88011i	−0.674987	+	0.219317i	−0.0485877	+	0.998819i	$0.515472\pi$
$314$	−7.77665	+	4.14676i	−0.438862	+	0.234015i
$315$	−0.582706	+	1.54737i	−0.0328317	+	0.0871842i
$316$	6.95917	+	18.9799i	0.391484	+	1.06770i
$317$	10.6049	−	7.70488i	0.595628	−	0.432749i	−0.248696	−	0.968582i	$-0.580002\pi$
$317$	10.6049	−	7.70488i	0.595628	−	0.432749i	0.844324	+	0.535832i	$0.180002\pi$
$318$	−11.0830	−	17.3132i	−0.621504	−	0.970878i
$319$	−13.7764	−	18.9616i	−0.771332	−	1.06165i
$320$	16.4245	+	7.08773i	0.918157	+	0.396216i
$321$	8.94491	+	10.4520i	0.499256	+	0.583373i
$322$	0.0176706	+	0.0995241i	0.000984743	+	0.00554626i
$323$	8.08521	+	2.62704i	0.449873	+	0.146173i
$324$	14.1133	−	11.1720i	0.784075	−	0.620666i
$325$	20.8998	+	2.01224i	1.15931	+	0.111619i
$326$	−19.6842	+	20.4320i	−1.09021	+	1.13163i
$327$	−10.6055	−	6.48451i	−0.586486	−	0.358594i
$328$	−19.6075	+	4.24071i	−1.08264	+	0.234154i
$329$	0.323083	−	0.444686i	0.0178122	−	0.0245163i
$330$	−17.5204	+	14.1248i	−0.964465	+	0.777543i
$331$	−9.33454	−	12.8479i	−0.513073	−	0.706184i	0.471361	−	0.881940i	$-0.343763\pi$
$331$	−9.33454	−	12.8479i	−0.513073	−	0.706184i	−0.984434	+	0.175756i	$0.943763\pi$
$332$	−34.2914	+	1.27897i	−1.88198	+	0.0701923i
$333$	1.77307	+	11.0518i	0.0971637	+	0.605637i
$334$	−0.191068	+	0.392929i	−0.0104548	+	0.0215001i
$335$	14.5441	−	6.55173i	0.794631	−	0.357959i
$336$	1.51923	+	0.779801i	0.0828807	+	0.0425416i
$337$	12.0260	−	3.90750i	0.655100	−	0.212855i	0.0374387	−	0.999299i	$-0.488080\pi$
$337$	12.0260	−	3.90750i	0.655100	−	0.212855i	0.617662	+	0.786444i	$0.288080\pi$
$338$	5.89368	+	2.86589i	0.320574	+	0.155884i
$339$	21.8888	+	13.3834i	1.18884	+	0.726888i
$340$	1.21328	−	7.16288i	0.0657995	−	0.388462i
$341$	14.3097	−	4.64949i	0.774911	−	0.251784i
$342$	−18.2279	−	12.6770i	−0.985649	−	0.685493i
$343$	3.43576			0.185514
$344$	16.3787	+	1.66255i	0.883083	+	0.0896386i
$345$	−1.10317	+	0.210590i	−0.0593927	+	0.0113378i
$346$	1.42646	−	0.253268i	0.0766868	−	0.0136158i
$347$	8.00841	−	11.0226i	0.429914	−	0.591726i	−0.538019	−	0.842932i	$-0.680827\pi$
$347$	8.00841	−	11.0226i	0.429914	−	0.591726i	0.967934	+	0.251206i	$0.0808273\pi$
$348$	−17.2311	−	9.67235i	−0.923685	−	0.518493i
$349$	−24.5103			−1.31201			−0.656003	−	0.754758i	$-0.727754\pi$
$349$	−24.5103			−1.31201			−0.656003	+	0.754758i	$0.727754\pi$
$350$	−0.138822	−	1.73735i	−0.00742034	−	0.0928652i
$351$	−16.6346	−	14.1213i	−0.887887	−	0.753739i
$352$	12.4336	+	19.6378i	0.662715	+	1.04670i
$353$	−6.97135	−	5.06498i	−0.371047	−	0.269582i	0.386598	−	0.922248i	$-0.373650\pi$
$353$	−6.97135	−	5.06498i	−0.371047	−	0.269582i	−0.757645	+	0.652667i	$0.773650\pi$
$354$	−0.891315	+	15.1148i	−0.0473728	+	0.803343i
$355$	−23.9332	−	26.3482i	−1.27024	−	1.39842i
$356$	−11.2165	+	8.80624i	−0.594474	+	0.466730i
$357$	0.161226	−	0.674520i	0.00853298	−	0.0356994i
$358$	−0.397846	+	2.85540i	−0.0210268	+	0.150913i
$359$	−2.36938	−	7.29221i	−0.125051	−	0.384868i	0.868859	−	0.495059i	$-0.164854\pi$
$359$	−2.36938	−	7.29221i	−0.125051	−	0.384868i	−0.993910	+	0.110191i	$0.964854\pi$
$360$	−8.44566	+	16.9903i	−0.445126	+	0.895468i
$361$	−2.59164	+	7.97623i	−0.136402	+	0.419802i
$362$	−5.28151	−	2.56821i	−0.277590	−	0.134982i
$363$	−10.1564	+	0.809532i	−0.533074	+	0.0424894i
$364$	0.565871	−	1.99125i	0.0296597	−	0.104370i
$365$	11.6769	+	6.67381i	0.611195	+	0.349323i
$366$	17.8309	−	21.7272i	0.932036	−	1.13570i
$367$	−14.8524	+	10.7909i	−0.775287	+	0.563279i	−0.903561	−	0.428460i	$-0.859056\pi$
$367$	−14.8524	+	10.7909i	−0.775287	+	0.563279i	0.128274	+	0.991739i	$0.459056\pi$
$368$	0.0864031	+	1.15670i	0.00450407	+	0.0602972i
$369$	−3.37054	−	21.0091i	−0.175463	−	1.09369i
$370$	−6.65194	−	9.74471i	−0.345818	−	0.506603i
$371$	1.67348	+	1.21586i	0.0868829	+	0.0631241i
$372$	9.32354	−	8.60146i	0.483403	−	0.445965i
$373$	2.32796	+	0.756399i	0.120537	+	0.0391649i	0.368664	−	0.929563i	$-0.379815\pi$
$373$	2.32796	+	0.756399i	0.120537	+	0.0391649i	−0.248127	+	0.968727i	$0.579815\pi$
$374$	6.54914	−	6.79796i	0.338648	−	0.351514i
$375$	19.2819	−	1.79143i	0.995712	−	0.0925088i
$376$	4.20383	−	4.70238i	0.216796	−	0.242507i
$377$	−7.40218	+	22.7816i	−0.381232	+	1.17331i
$378$	−0.912749	+	1.56447i	−0.0469467	+	0.0804674i
$379$	10.7676	−	14.8204i	0.553097	−	0.761273i	−0.437331	−	0.899300i	$-0.644076\pi$
$379$	10.7676	−	14.8204i	0.553097	−	0.761273i	0.990428	+	0.138028i	$0.0440763\pi$
$380$	23.0750	+	3.90856i	1.18372	+	0.200505i
$381$	9.76311	+	23.5038i	0.500179	+	1.20414i
$382$	11.9342	−	12.3876i	0.610606	−	0.633805i
$383$	−17.9463	−	24.7010i	−0.917016	−	1.26216i	−0.964713	−	0.263302i	$-0.915188\pi$
$383$	−17.9463	−	24.7010i	−0.917016	−	1.26216i	0.0476978	−	0.998862i	$-0.484812\pi$
$384$	16.4407	+	10.6632i	0.838985	+	0.544154i
$385$	1.12371	−	1.96610i	0.0572695	−	0.100202i
$386$	23.2703	−	12.4085i	1.18442	−	0.631574i
$387$	−2.69714	+	17.2520i	−0.137103	+	0.876968i
$388$	−11.7431	−	32.0273i	−0.596167	−	1.62594i
$389$	−11.5821	−	3.76325i	−0.587235	−	0.190804i	0.000303927	−	1.00000i	$-0.499903\pi$
$389$	−11.5821	−	3.76325i	−0.587235	−	0.190804i	−0.587539	+	0.809196i	$0.699903\pi$
$390$	22.2038	+	6.00124i	1.12433	+	0.303885i
$391$	0.448013	−	0.145568i	0.0226570	−	0.00736170i
$392$	19.5268	+	1.98210i	0.986253	+	0.100111i
$393$	4.14962	−	17.3608i	0.209321	−	0.875734i
$394$	−0.493592	+	3.54258i	−0.0248668	+	0.178473i
$395$	16.7301	−	15.1966i	0.841781	−	0.764626i
$396$	−21.5095	+	12.0461i	−1.08089	+	0.605339i
$397$	11.9033	−	16.3834i	0.597408	−	0.822261i	−0.398060	−	0.917359i	$-0.630316\pi$
$397$	11.9033	−	16.3834i	0.597408	−	0.822261i	0.995468	+	0.0950981i	$0.0303165\pi$
$398$	−8.16412	+	4.35337i	−0.409230	+	0.218215i
$399$	2.17295	+	0.519385i	0.108784	+	0.0260018i
$400$	0.428468	−	19.9954i	0.0214234	−	0.999770i
$401$			31.6327i			1.57966i	0.613326	+	0.789830i	$0.289831\pi$
$401$			31.6327i			1.57966i	−0.613326	+	0.789830i	$0.710169\pi$
$402$	16.9080	−	4.41216i	0.843296	−	0.220058i
$403$	−12.4405	−	9.03858i	−0.619708	−	0.450244i
$404$	12.6832	+	8.51119i	0.631011	+	0.423447i
$405$	−17.5120	−	9.91622i	−0.870176	−	0.492741i
$406$	1.96936	+	0.274393i	0.0977377	+	0.0136179i
$407$		−	15.3302i		−	0.759891i
$408$	2.62231	−	7.51386i	0.129824	−	0.371992i
$409$	−6.16786	−	18.9827i	−0.304981	−	0.938635i	−0.979684	−	0.200546i	$-0.935728\pi$
$409$	−6.16786	−	18.9827i	−0.304981	−	0.938635i	0.674704	−	0.738089i	$-0.264272\pi$
$410$	12.6451	+	18.5243i	0.624495	+	0.914850i
$411$	−17.7586	−	10.8581i	−0.875965	−	0.535590i
$412$	−13.9903	+	5.12969i	−0.689253	+	0.252722i
$413$	−0.470812	−	1.44901i	−0.0231671	−	0.0713011i
$414$	−1.23002	+	0.0253875i	−0.0604523	+	0.00124773i
$415$	15.7576	+	34.9802i	0.773511	+	1.71711i
$416$	8.76787	−	22.0775i	0.429880	−	1.08244i
$417$	6.07752	−	2.52450i	0.297618	−	0.123626i
$418$	21.8995	+	21.0979i	1.07114	+	1.03193i
$419$	−9.18218	+	6.67125i	−0.448579	+	0.325912i	−0.789034	−	0.614349i	$-0.789419\pi$
$419$	−9.18218	+	6.67125i	−0.448579	+	0.325912i	0.340456	+	0.940261i	$0.389419\pi$
$420$	0.168279	−	1.90181i	0.00821116	−	0.0927986i
$421$	3.74604	+	2.72165i	0.182571	+	0.132645i	0.675317	−	0.737528i	$-0.264007\pi$
$421$	3.74604	+	2.72165i	0.182571	+	0.132645i	−0.492746	+	0.870173i	$0.664007\pi$
$422$	6.58566	+	37.0917i	0.320585	+	1.80560i
$423$	4.74006	+	4.72116i	0.230470	+	0.229551i
$424$	17.6964	+	15.8202i	0.859413	+	0.768297i
$425$	−7.92986	+	1.75808i	−0.384655	+	0.0852794i
$426$	−21.0226	−	32.8402i	−1.01855	−	1.59111i
$427$	−0.873991	+	2.68987i	−0.0422954	+	0.130172i
$428$	−13.1905	−	8.85163i	−0.637587	−	0.427860i
$429$	19.4315	+	22.7054i	0.938160	+	1.09623i
$430$	−5.17160	−	17.6646i	−0.249397	−	0.851864i
$431$	−16.5140	+	11.9981i	−0.795451	+	0.577929i	−0.909576	−	0.415537i	$-0.863594\pi$
$431$	−16.5140	+	11.9981i	−0.795451	+	0.577929i	0.114125	+	0.993466i	$0.463594\pi$
$432$	−12.2334	+	16.8031i	−0.588582	+	0.808438i
$433$	9.53970	+	13.1303i	0.458449	+	0.631000i	0.974186	−	0.225746i	$-0.0724820\pi$
$433$	9.53970	+	13.1303i	0.458449	+	0.631000i	−0.515738	+	0.856747i	$0.672482\pi$
$434$	−0.558198	+	1.14793i	−0.0267944	+	0.0551024i
$435$	−2.76608	+	21.9187i	−0.132624	+	1.05092i
$436$	13.8072	+	3.92372i	0.661245	+	0.187912i
$437$	0.468944	+	1.44326i	0.0224327	+	0.0690406i
$438$	11.3889	+	9.34660i	0.544185	+	0.446598i
$439$	−10.4930	−	3.40939i	−0.500804	−	0.162721i	0.0477118	−	0.998861i	$-0.484807\pi$
$439$	−10.4930	−	3.40939i	−0.500804	−	0.162721i	−0.548516	+	0.836140i	$0.684807\pi$
$440$	15.1073	−	21.1439i	0.720213	−	1.00800i
$441$	−3.21554	+	20.5679i	−0.153121	+	0.979424i
$442$	−9.55501	−	1.33131i	−0.454485	−	0.0633239i
$443$		−	6.75919i		−	0.321139i	−0.987025	−	0.160569i	$-0.948667\pi$
$443$		−	6.75919i		−	0.321139i	0.987025	−	0.160569i	$-0.0513331\pi$
$444$	−5.39943	−	11.7429i	−0.256246	−	0.557293i
$445$	13.8423	+	7.91144i	0.656187	+	0.375038i
$446$	27.5061	−	4.88373i	1.30245	−	0.231251i
$447$	24.4216	+	28.5363i	1.15510	+	1.34972i
$448$	−1.93163	−	0.396229i	−0.0912610	−	0.0187200i
$449$			3.79213i			0.178962i	0.995989	+	0.0894808i	$0.0285208\pi$
$449$			3.79213i			0.178962i	−0.995989	+	0.0894808i	$0.971479\pi$
$450$	21.1530	+	1.59685i	0.997163	+	0.0752763i
$451$			29.1422i			1.37225i
$452$	−28.4968	−	8.09818i	−1.34038	−	0.380906i
$453$	2.47671	+	2.89400i	0.116366	+	0.135972i
$454$	3.39783	+	19.1372i	0.159468	+	0.898155i
$455$	−2.30068	+	0.251975i	−0.107857	+	0.0118128i
$456$	24.2057	+	8.44772i	1.13354	+	0.395601i
$457$			7.20343i			0.336962i	0.985705	+	0.168481i	$0.0538862\pi$
$457$			7.20343i			0.336962i	−0.985705	+	0.168481i	$0.946114\pi$
$458$	−4.80767	+	34.5053i	−0.224647	+	1.61233i
$459$	7.80816	+	3.20688i	0.364454	+	0.149684i
$460$	1.16173	−	0.576338i	0.0541658	−	0.0268719i
$461$	8.29731	+	2.69596i	0.386444	+	0.125563i	0.495794	−	0.868440i	$-0.334877\pi$
$461$	8.29731	+	2.69596i	0.386444	+	0.125563i	−0.109350	+	0.994003i	$0.534877\pi$
$462$	1.57374	−	1.91762i	0.0732171	−	0.0892159i
$463$	11.9302	+	36.7174i	0.554444	+	1.70640i	0.697406	+	0.716676i	$0.254337\pi$
$463$	11.9302	+	36.7174i	0.554444	+	1.70640i	−0.142962	+	0.989728i	$0.545663\pi$
$464$	22.1653	+	5.41482i	1.02900	+	0.251377i
$465$	−12.8335	−	6.03692i	−0.595137	−	0.279956i
$466$	−24.4758	−	11.9017i	−1.13382	−	0.551336i
$467$	−9.56327	−	13.1627i	−0.442535	−	0.609098i	0.528238	−	0.849097i	$-0.322853\pi$
$467$	−9.56327	−	13.1627i	−0.442535	−	0.609098i	−0.970773	+	0.239999i	$0.922853\pi$
$468$	22.8814	+	10.5483i	1.05769	+	0.487595i
$469$	−1.42254	+	1.03353i	−0.0656867	+	0.0477242i
$470$	−6.64000	−	2.37508i	−0.306280	−	0.109554i
$471$	7.01826	+	8.20073i	0.323384	+	0.377870i
$472$	−3.69586	−	17.0883i	−0.170116	−	0.786553i
$473$	7.39028	−	22.7450i	0.339806	−	1.04581i
$474$	20.8523	−	13.3485i	0.957776	−	0.613117i
$475$	−5.66361	−	25.5459i	−0.259864	−	1.17212i
$476$	0.0298470	+	0.800253i	0.00136804	+	0.0366795i
$477$	−17.7671	+	17.8382i	−0.813500	+	0.816756i
$478$	−5.99334	+	1.06412i	−0.274129	+	0.0486718i
$479$	18.3111	+	13.3038i	0.836656	+	0.607866i	0.921434	−	0.388534i	$-0.127018\pi$
$479$	18.3111	+	13.3038i	0.836656	+	0.607866i	−0.0847786	+	0.996400i	$0.527018\pi$
$480$	4.12508	−	21.5171i	0.188283	−	0.982115i
$481$	−12.6755	+	9.20929i	−0.577953	+	0.419908i
$482$	9.36435	−	9.72012i	0.426534	−	0.442739i
$483$	0.114327	−	0.0474896i	0.00520206	−	0.00216085i
$484$	11.0457	−	4.05003i	0.502079	−	0.184092i
$485$	−28.2308	+	25.6433i	−1.28190	+	1.16440i
$486$	−17.0971	−	13.9172i	−0.775540	−	0.631298i
$487$	−8.02521	−	24.6991i	−0.363657	−	1.11922i	−0.950818	−	0.309751i	$-0.899754\pi$
$487$	−8.02521	−	24.6991i	−0.363657	−	1.11922i	0.587161	−	0.809470i	$-0.300246\pi$
$488$	−13.0951	+	29.6962i	−0.592789	+	1.34428i
$489$	29.6454	+	18.1260i	1.34061	+	0.819687i
$490$	−6.16560	−	21.0598i	−0.278534	−	0.951387i
$491$	−0.446474	−	1.37411i	−0.0201491	−	0.0620126i	0.940476	−	0.339859i	$-0.110379\pi$
$491$	−0.446474	−	1.37411i	−0.0201491	−	0.0620126i	−0.960625	+	0.277846i	$0.910379\pi$
$492$	10.2641	+	22.3227i	0.462741	+	1.00639i
$493$		−	9.26651i		−	0.417343i
$494$	4.28878	−	30.7812i	0.192961	−	1.38491i
$495$	21.5303	+	17.2092i	0.967715	+	0.773494i
$496$	−7.70299	+	12.4585i	−0.345874	+	0.559405i
$497$	3.17431	+	2.30627i	0.142387	+	0.103450i
$498$	10.6117	+	40.6656i	0.475521	+	1.82227i
$499$		−	2.02484i		−	0.0906445i	−0.998972	−	0.0453222i	$-0.985569\pi$
$499$		−	2.02484i		−	0.0906445i	0.998972	−	0.0453222i	$-0.0144315\pi$
$500$	−20.8913	+	7.97206i	−0.934287	+	0.356521i
$501$	0.520456	+	0.124401i	0.0232523	+	0.00555783i
$502$	1.33827	+	2.50973i	0.0597299	+	0.112015i
$503$	−0.326084	+	0.448817i	−0.0145394	+	0.0200117i	−0.816225	−	0.577734i	$-0.803937\pi$
$503$	−0.326084	+	0.448817i	−0.0145394	+	0.0200117i	0.801685	+	0.597746i	$0.203937\pi$
$504$	0.530076	−	2.02317i	0.0236115	−	0.0901194i
$505$	3.47755	−	16.7193i	0.154749	−	0.744000i
$506$	1.66888	+	0.232527i	0.0741909	+	0.0103371i
$507$	1.86593	−	7.80650i	0.0828690	−	0.346699i
$508$	−18.1481	−	23.1152i	−0.805190	−	1.02557i
$509$	−3.40112	+	1.10509i	−0.150752	+	0.0489822i	−0.383421	−	0.923574i	$-0.625254\pi$
$509$	−3.40112	+	1.10509i	−0.150752	+	0.0489822i	0.232669	+	0.972556i	$0.425254\pi$
$510$	−8.88646	+	0.446350i	−0.393499	+	0.0197647i
$511$	−1.40997	−	0.458129i	−0.0623736	−	0.0202664i
$512$	−21.5934	−	6.76205i	−0.954302	−	0.298843i
$513$	−10.3309	+	25.1538i	−0.456119	+	1.11057i
$514$	−11.3020	−	21.1953i	−0.498512	−	0.934886i
$515$	11.2016	+	12.3319i	0.493603	+	0.543410i
$516$	−2.35003	−	20.0254i	−0.103454	−	0.881571i
$517$	−5.38577	−	7.41288i	−0.236866	−	0.326018i
$518$	0.936616	+	0.902334i	0.0411526	+	0.0396463i
$519$	−0.680658	−	1.63862i	−0.0298776	−	0.0719276i
$520$	−26.5578	+	0.210538i	−1.16464	+	0.00923269i
$521$	−7.36632	+	10.1389i	−0.322724	+	0.444192i	−0.939297	−	0.343107i	$-0.888521\pi$
$521$	−7.36632	+	10.1389i	−0.322724	+	0.444192i	0.616572	+	0.787298i	$0.288521\pi$
$522$	−7.00204	+	23.1662i	−0.306471	+	1.01396i
$523$	−12.3865	+	38.1219i	−0.541626	+	1.66695i	0.187255	+	0.982311i	$0.440041\pi$
$523$	−12.3865	+	38.1219i	−0.541626	+	1.66695i	−0.728881	+	0.684641i	$0.759959\pi$
$524$	0.768201	+	20.5968i	0.0335590	+	0.899777i
$525$	−2.04069	+	0.626149i	−0.0890630	+	0.0273274i
$526$	9.74117	+	9.38463i	0.424735	+	0.409189i
$527$	5.65753	+	1.83824i	0.246446	+	0.0800752i
$528$	20.1890	−	20.0689i	0.878612	−	0.873388i
$529$	−18.5394	−	13.4696i	−0.806059	−	0.585636i
$530$	8.93812	−	24.9882i	0.388247	−	1.08542i
$531$	18.3098	−	2.93748i	0.794578	−	0.127476i
$532$	−2.57799	+	0.0961515i	−0.111770	+	0.00416870i
$533$	24.0956	−	17.5065i	1.04370	−	0.758290i
$534$	13.5010	+	11.0799i	0.584244	+	0.479473i
$535$	−3.61665	+	17.3881i	−0.156361	+	0.751752i
$536$	−17.4382	+	10.1509i	−0.753216	+	0.438452i
$537$	3.51976	−	0.280547i	0.151889	−	0.0121065i
$538$	20.0806	−	41.2957i	0.865738	−	1.78039i
$539$	8.81073	−	27.1166i	0.379505	−	1.16800i
$540$	22.5533	+	5.59899i	0.970540	+	0.240942i
$541$	−2.45335	−	7.55063i	−0.105478	−	0.324627i	0.884365	−	0.466797i	$-0.154592\pi$
$541$	−2.45335	−	7.55063i	−0.105478	−	0.324627i	−0.989842	+	0.142170i	$0.954592\pi$
$542$	24.1270	+	3.36164i	1.03634	+	0.144395i
$543$	−1.67212	+	6.99565i	−0.0717576	+	0.300212i
$544$	−0.586626	+	9.17072i	−0.0251514	+	0.393191i
$545$	−1.74718	−	15.9528i	−0.0748410	−	0.683341i
$546$	−2.53094	−	0.149249i	−0.108314	−	0.00638725i
$547$	−11.3743	−	8.26390i	−0.486329	−	0.353339i	0.317442	−	0.948278i	$-0.397176\pi$
$547$	−11.3743	−	8.26390i	−0.486329	−	0.353339i	−0.803771	+	0.594939i	$0.797176\pi$
$548$	23.1197	+	6.57012i	0.987623	+	0.280662i
$549$	−30.7032	−	15.5669i	−1.31038	−	0.664379i
$550$	−28.2591	−	6.74869i	−1.20497	−	0.287765i
$551$	29.8518			1.27173
$552$	1.36025	−	0.409679i	0.0578963	−	0.0174371i
$553$	−1.46439	+	2.01556i	−0.0622722	+	0.0857104i
$554$	2.48585	+	14.0008i	0.105614	+	0.594836i
$555$	−9.89055	+	10.5351i	−0.419830	+	0.447191i
$556$	−5.97703	+	4.69265i	−0.253482	+	0.199013i
$557$	12.2107			0.517383			0.258691	−	0.965960i	$-0.416709\pi$
$557$	12.2107			0.517383			0.258691	+	0.965960i	$0.416709\pi$
$558$	−12.7547	−	8.87058i	−0.539951	−	0.375521i
$559$	−23.2458	+	7.55301i	−0.983191	+	0.319458i
$560$	0.402595	+	2.16752i	0.0170127	+	0.0915946i
$561$	−9.86334	−	6.03072i	−0.416431	−	0.254617i
$562$	16.2131	−	33.3421i	0.683908	−	1.40645i
$563$	−4.90963	+	1.59523i	−0.206916	+	0.0672311i	−0.410641	−	0.911797i	$-0.634695\pi$
$563$	−4.90963	+	1.59523i	−0.206916	+	0.0672311i	0.203725	+	0.979028i	$0.434695\pi$
$564$	−6.73635	−	3.78132i	−0.283651	−	0.159222i
$565$	3.60602	+	32.9250i	0.151706	+	1.38517i
$566$	9.35670	+	4.54983i	0.393292	+	0.191244i
$567$	2.11248	+	0.677070i	0.0887158	+	0.0284343i
$568$	33.5670	+	30.0082i	1.40844	+	1.25912i
$569$	−1.34212	−	1.84727i	−0.0562646	−	0.0774415i	0.779958	−	0.625832i	$-0.215241\pi$
$569$	−1.34212	−	1.84727i	−0.0562646	−	0.0774415i	−0.836222	+	0.548391i	$0.815241\pi$
$570$	−1.43791	−	28.6275i	−0.0602273	−	1.19907i
$571$	0.736301	−	1.01343i	0.0308132	−	0.0424108i	−0.793332	−	0.608789i	$-0.791656\pi$
$571$	0.736301	−	1.01343i	0.0308132	−	0.0424108i	0.824146	+	0.566378i	$0.191656\pi$
$572$	−28.6544	−	19.2288i	−1.19810	−	0.803998i
$573$	−17.9735	−	10.9895i	−0.750854	−	0.459093i
$574$	−1.78047	−	1.71530i	−0.0743154	−	0.0715953i
$575$	−1.08592	−	0.960726i	−0.0452861	−	0.0400650i
$576$	8.39621	−	22.4834i	0.349842	−	0.936809i
$577$	−23.6672	−	7.68995i	−0.985280	−	0.320137i	−0.228311	−	0.973588i	$-0.573320\pi$
$577$	−23.6672	−	7.68995i	−0.985280	−	0.320137i	−0.756969	+	0.653451i	$0.773320\pi$
$578$	−19.9969	+	3.55046i	−0.831759	+	0.147679i
$579$	−21.0009	−	24.5392i	−0.872768	−	1.01982i
$580$	−3.72056	−	25.2376i	−0.154488	−	1.04793i
$581$	−2.48576	−	3.42135i	−0.103127	−	0.141942i
$582$	−35.1868	+	22.5247i	−1.45854	+	0.933678i
$583$	27.8968	−	20.2682i	1.15537	−	0.839424i
$584$	−15.5662	−	6.86421i	−0.644132	−	0.284043i
$585$	1.29521	−	28.1399i	0.0535505	−	1.16344i
$586$	4.39333	+	8.23906i	0.181487	+	0.340352i
$587$	8.42156	−	2.73633i	0.347595	−	0.112940i	−0.130016	−	0.991512i	$-0.541503\pi$
$587$	8.42156	−	2.73633i	0.347595	−	0.112940i	0.477611	+	0.878571i	$0.341503\pi$
$588$	−2.80172	−	23.8744i	−0.115541	−	0.984565i
$589$	−5.92186	+	18.2256i	−0.244006	+	0.750973i
$590$	−16.1443	+	11.0204i	−0.664649	+	0.453703i
$591$	4.36682	−	0.348064i	0.179627	−	0.0143174i
$592$	9.64726	+	11.3870i	0.396500	+	0.468001i
$593$	−5.54014			−0.227506			−0.113753	−	0.993509i	$-0.536287\pi$
$593$	−5.54014			−0.227506			−0.113753	+	0.993509i	$0.536287\pi$
$594$	20.1012	+	22.5298i	0.824764	+	0.924407i
$595$	0.816328	−	0.367733i	0.0334662	−	0.0150756i
$596$	−36.0131	−	24.1670i	−1.47515	−	0.989918i
$597$	7.36794	+	8.60933i	0.301550	+	0.352356i
$598$	−0.810284	−	1.51957i	−0.0331350	−	0.0621398i
$599$	−37.9769			−1.55169			−0.775846	−	0.630922i	$-0.782677\pi$
$599$	−37.9769			−1.55169			−0.775846	+	0.630922i	$0.782677\pi$
$600$	−24.0233	+	4.78361i	−0.980746	+	0.195290i
$601$	−25.7870			−1.05188			−0.525938	−	0.850523i	$-0.676285\pi$
$601$	−25.7870			−1.05188			−0.525938	+	0.850523i	$0.676285\pi$
$602$	0.954636	+	1.79028i	0.0389080	+	0.0729664i
$603$	−9.75413	−	19.0494i	−0.397219	−	0.775752i
$604$	−3.65225	−	2.45088i	−0.148608	−	0.0997249i
$605$	−8.84399	−	9.73639i	−0.359559	−	0.395841i
$606$	6.81812	−	17.4203i	0.276967	−	0.707653i
$607$	−0.961951			−0.0390444			−0.0195222	−	0.999809i	$-0.506215\pi$
$607$	−0.961951			−0.0390444			−0.0195222	+	0.999809i	$0.506215\pi$
$608$	−29.5432	−	1.88980i	−1.19814	−	0.0766416i
$609$	−0.193493	−	2.42756i	−0.00784071	−	0.0983698i
$610$	36.2705	+	1.06493i	1.46855	+	0.0431178i
$611$	−2.89381	+	8.90624i	−0.117071	+	0.360308i
$612$	−9.67934	−	1.14556i	−0.391264	−	0.0463064i
$613$	5.99080	−	1.94653i	0.241966	−	0.0786195i	−0.185523	−	0.982640i	$-0.559398\pi$
$613$	5.99080	−	1.94653i	0.241966	−	0.0786195i	0.427490	+	0.904020i	$0.359398\pi$
$614$	5.33388	+	10.0029i	0.215258	+	0.403685i
$615$	18.8015	−	20.0268i	0.758151	−	0.807559i
$616$	−1.15577	+	2.62097i	−0.0465672	+	0.105602i
$617$	1.25611	−	0.912616i	0.0505690	−	0.0367405i	−0.562214	−	0.826992i	$-0.690050\pi$
$617$	1.25611	−	0.912616i	0.0505690	−	0.0367405i	0.612783	+	0.790252i	$0.290050\pi$
$618$	9.83935	+	15.3705i	0.395797	+	0.618291i
$619$	13.9136	+	19.1504i	0.559234	+	0.769719i	0.991229	−	0.132157i	$-0.0421903\pi$
$619$	13.9136	+	19.1504i	0.559234	+	0.769719i	−0.431995	+	0.901876i	$0.642190\pi$
$620$	16.1465	+	2.73497i	0.648459	+	0.109839i
$621$	0.356139	+	1.46409i	0.0142914	+	0.0587519i
$622$	12.2532	−	2.17557i	0.491310	−	0.0872325i
$623$	−1.67145	−	0.543086i	−0.0669652	−	0.0217583i
$624$	−28.7217	−	4.63690i	−1.14979	−	0.185624i
$625$	17.0503	+	18.2835i	0.682011	+	0.731342i
$626$	−12.7881	−	12.3201i	−0.511117	−	0.492409i
$627$	19.4278	−	31.7745i	0.775873	−	1.26895i
$628$	−10.3494	−	6.94508i	−0.412986	−	0.277139i
$629$	3.56259	−	4.90348i	0.142050	−	0.195515i
$630$	−2.31868	+	0.302488i	−0.0923784	+	0.0120514i
$631$	5.58970	+	7.69356i	0.222522	+	0.306276i	0.905652	−	0.424021i	$-0.139382\pi$
$631$	5.58970	+	7.69356i	0.222522	+	0.306276i	−0.683130	+	0.730297i	$0.739382\pi$
$632$	−19.0540	+	21.3138i	−0.757929	+	0.847816i
$633$	42.6086	−	17.6989i	1.69354	−	0.703470i
$634$	16.6715	+	8.10674i	0.662108	+	0.321960i
$635$	−16.3040	+	28.5264i	−0.647006	+	1.13204i
$636$	14.2302	−	25.3508i	0.564264	−	1.00523i
$637$	−27.7137	+	9.00473i	−1.09806	+	0.356780i
$638$	14.4950	−	29.8088i	0.573861	−	1.18014i
$639$	−33.7011	+	33.8360i	−1.33320	+	1.33853i
$640$	2.08440	+	25.2122i	0.0823933	+	0.996600i
$641$	−3.99702	+	1.29871i	−0.157873	+	0.0512960i	−0.386887	−	0.922127i	$-0.626450\pi$
$641$	−3.99702	+	1.29871i	−0.157873	+	0.0512960i	0.229014	+	0.973423i	$0.426450\pi$
$642$	−7.09084	+	18.1171i	−0.279853	+	0.715026i
$643$	−33.8950			−1.33669			−0.668343	−	0.743853i	$-0.732996\pi$
$643$	−33.8950			−1.33669			−0.668343	+	0.743853i	$0.732996\pi$
$644$	−0.112437	+	0.0882756i	−0.00443062	+	0.00347855i
$645$	−19.7530	+	10.8626i	−0.777772	+	0.427716i
$646$	2.10176	+	11.8375i	0.0826926	+	0.465740i
$647$	7.83027	−	10.7774i	0.307840	−	0.423705i	−0.626866	−	0.779127i	$-0.715663\pi$
$647$	7.83027	−	10.7774i	0.307840	−	0.423705i	0.934706	+	0.355422i	$0.115663\pi$
$648$	23.3326	+	10.1779i	0.916592	+	0.399824i
$649$	−25.3979			−0.996955
$650$	11.3960	+	27.4196i	0.446987	+	1.07548i
$651$	1.52050	+	0.363434i	0.0595930	+	0.0142441i
$652$	−38.5950	−	10.9679i	−1.51150	−	0.429536i
$653$	6.03308	+	4.38329i	0.236093	+	0.171531i	0.699541	−	0.714593i	$-0.253388\pi$
$653$	6.03308	+	4.38329i	0.236093	+	0.171531i	−0.463448	+	0.886124i	$0.653388\pi$
$654$	1.03488	−	17.5494i	0.0404670	−	0.686235i
$655$	21.0106	−	9.46469i	0.820951	−	0.369816i
$656$	−18.3390	−	21.6461i	−0.716019	−	0.845140i
$657$	8.15986	−	16.0940i	0.318346	−	0.627887i
$658$	0.769903	+	0.107271i	0.0300139	+	0.00418187i
$659$	5.31357	+	16.3535i	0.206987	+	0.637041i	0.999626	+	0.0273497i	$0.00870676\pi$
$659$	5.31357	+	16.3535i	0.206987	+	0.637041i	−0.792639	+	0.609692i	$0.791293\pi$
$660$	−29.2844	−	12.4646i	−1.13989	−	0.485185i
$661$	2.73446	−	8.41580i	0.106358	−	0.327337i	−0.883689	−	0.468075i	$-0.844948\pi$
$661$	2.73446	−	8.41580i	0.106358	−	0.327337i	0.990047	+	0.140738i	$0.0449477\pi$
$662$	9.82140	−	20.1976i	0.381719	−	0.785003i
$663$	0.938794	+	11.7781i	0.0364597	+	0.457425i
$664$	−24.4140	−	41.9407i	−0.947445	−	1.62762i
$665$	1.18464	+	2.62978i	0.0459385	+	0.101979i
$666$	−12.6116	+	9.56664i	−0.488691	+	0.370700i
$667$	1.33822	−	0.972274i	0.0518161	−	0.0376466i
$668$	−0.617471	+	0.0230298i	−0.0238907	+	0.000891050i
$669$	−13.1250	−	31.5973i	−0.507442	−	1.22162i
$670$	17.8537	+	13.7898i	0.689749	+	0.532748i
$671$	38.1431	+	27.7126i	1.47250	+	1.06983i
$672$	0.0378129	+	2.41472i	0.00145866	+	0.0931497i
$673$	44.6419	+	14.5050i	1.72082	+	0.559128i	0.992074	−	0.125656i	$-0.0401037\pi$
$673$	44.6419	+	14.5050i	1.72082	+	0.559128i	0.728746	+	0.684785i	$0.240104\pi$
$674$	12.8784	+	12.4070i	0.496058	+	0.477902i
$675$	−3.69310	−	25.7169i	−0.142147	−	0.989845i
$676$	0.345432	+	9.26165i	0.0132859	+	0.356217i
$677$	10.2402	−	31.5161i	0.393563	−	1.21126i	−0.536513	−	0.843892i	$-0.680259\pi$
$677$	10.2402	−	31.5161i	0.393563	−	1.21126i	0.930075	−	0.367369i	$-0.119741\pi$
$678$	−2.13590	+	36.2203i	−0.0820286	+	1.39103i
$679$	2.47106	−	3.40112i	0.0948305	−	0.130523i
$680$	9.74580	−	3.25224i	0.373734	−	0.124718i
$681$	21.9837	−	9.13166i	0.842416	−	0.349926i
$682$	15.3239	+	14.7630i	0.586782	+	0.565305i
$683$	−3.09803	−	4.26408i	−0.118543	−	0.163160i	0.745622	−	0.666369i	$-0.232153\pi$
$683$	−3.09803	−	4.26408i	−0.118543	−	0.163160i	−0.864165	+	0.503209i	$0.832153\pi$
$684$	3.69039	−	31.1818i	0.141105	−	1.19226i
$685$	−2.92559	−	26.7123i	−0.111781	−	1.02063i
$686$	2.28621	+	4.28745i	0.0872877	+	0.163695i
$687$	42.5336	−	3.39020i	1.62276	−	0.129344i
$688$	8.82397	+	21.5451i	0.336411	+	0.821400i
$689$	−33.5167	−	10.8903i	−1.27689	−	0.414886i
$690$	−0.996857	−	1.23650i	−0.0379497	−	0.0470729i
$691$	20.0590	−	6.51756i	0.763080	−	0.247940i	0.0984800	−	0.995139i	$-0.468602\pi$
$691$	20.0590	−	6.51756i	0.763080	−	0.247940i	0.664600	+	0.747199i	$0.268602\pi$
$692$	1.26523	+	1.61153i	0.0480970	+	0.0612611i
$693$	−2.70984	−	1.37392i	−0.102938	−	0.0521911i
$694$	19.0839	+	2.65898i	0.724416	+	0.100934i
$695$	7.37625	+	4.21583i	0.279797	+	0.159916i
$696$	0.604174	−	27.9386i	0.0229012	−	1.05901i
$697$	−6.77233	+	9.32131i	−0.256520	+	0.353070i
$698$	−16.3095	−	30.5861i	−0.617324	−	1.15770i
$699$	−7.74901	+	32.4195i	−0.293095	+	1.22622i
$700$	2.07564	−	1.32929i	0.0784519	−	0.0502425i
$701$			12.7130i			0.480165i	0.970753	+	0.240082i	$0.0771744\pi$
$701$			12.7130i			0.480165i	−0.970753	+	0.240082i	$0.922826\pi$
$702$	6.55292	−	30.1546i	0.247324	−	1.13811i
$703$	15.7964	+	11.4768i	0.595774	+	0.432855i
$704$	−16.2322	+	28.5830i	−0.611774	+	1.07726i
$705$	−1.08137	+	8.56893i	−0.0407269	+	0.322725i
$706$	1.68169	−	12.0698i	0.0632913	−	0.454252i
$707$			1.88241i			0.0707953i
$708$	−19.4547	+	8.94535i	−0.731152	+	0.336187i
$709$	−11.4590	−	35.2672i	−0.430352	−	1.32449i	−0.897776	−	0.440453i	$-0.854818\pi$
$709$	−11.4590	−	35.2672i	−0.430352	−	1.32449i	0.467424	−	0.884033i	$-0.345182\pi$
$710$	16.9541	−	47.3984i	0.636275	−	1.77883i
$711$	−21.4846	−	21.3989i	−0.805734	−	0.802522i
$712$	−18.4528	−	8.13714i	−0.691549	−	0.304952i
$713$	0.328138	+	1.00991i	0.0122889	+	0.0378213i
$714$	0.949008	−	0.247644i	0.0355157	−	0.00926783i
$715$	−7.85662	+	37.7730i	−0.293821	+	1.41263i
$716$	−3.82795	+	1.40356i	−0.143057	+	0.0524534i
$717$	2.85982	+	6.88477i	0.106802	+	0.257116i
$718$	7.52324	−	7.80906i	0.280765	−	0.291432i
$719$	−34.5066	+	25.0705i	−1.28688	+	0.934971i	−0.999737	−	0.0229175i	$-0.992704\pi$
$719$	−34.5066	+	25.0705i	−1.28688	+	0.934971i	−0.287140	+	0.957889i	$0.592704\pi$
$720$	−26.8219	+	0.766357i	−0.999592	+	0.0285604i
$721$	−1.48570	−	1.07942i	−0.0553302	−	0.0401997i
$722$	−11.6780	+	2.07343i	−0.434608	+	0.0771650i
$723$	−14.1032	−	8.62309i	−0.524503	−	0.320696i
$724$	−0.309552	−	8.29966i	−0.0115044	−	0.308454i
$725$	−24.5748	+	14.4759i	−0.912684	+	0.537622i
$726$	−7.76843	−	12.1354i	−0.288313	−	0.450387i
$727$	−9.70095	+	29.8564i	−0.359788	+	1.10731i	0.593393	+	0.804913i	$0.297788\pi$
$727$	−9.70095	+	29.8564i	−0.359788	+	1.10731i	−0.953181	+	0.302401i	$0.902212\pi$
$728$	2.86140	−	0.618862i	0.106050	−	0.0229366i
$729$	−12.1134	+	24.1302i	−0.448644	+	0.893710i
$730$	−0.558216	+	19.0123i	−0.0206605	+	0.703676i
$731$	7.64952	−	5.55770i	0.282928	−	0.205559i
$732$	38.9780	+	7.79339i	1.44067	+	0.288052i
$733$	12.6990	+	17.4786i	0.469047	+	0.645587i	0.976354	−	0.216178i	$-0.0693591\pi$
$733$	12.6990	+	17.4786i	0.469047	+	0.645587i	−0.507307	+	0.861765i	$0.669359\pi$
$734$	−23.3488	−	11.3537i	−0.861819	−	0.419072i
$735$	−23.5496	+	12.9505i	−0.868639	+	0.477686i
$736$	−1.38594	+	0.877506i	−0.0510864	+	0.0323453i
$737$	9.05779	+	27.8770i	0.333648	+	1.02686i
$738$	23.9742	−	18.1858i	0.882502	−	0.669429i
$739$	32.8961	+	10.6886i	1.21010	+	0.393187i	0.843469	−	0.537178i	$-0.180510\pi$
$739$	32.8961	+	10.6886i	1.21010	+	0.393187i	0.366635	+	0.930365i	$0.380510\pi$
$740$	7.73401	−	14.7851i	0.284308	−	0.543513i
$741$	−37.9430	+	3.02430i	−1.39387	+	0.111101i
$742$	−0.403693	+	2.89737i	−0.0148200	+	0.106366i
$743$		−	39.5592i		−	1.45129i	−0.688072	−	0.725643i	$-0.741543\pi$
$743$		−	39.5592i		−	1.45129i	0.688072	−	0.725643i	$-0.258457\pi$
$744$	16.9377	+	5.91120i	0.620965	+	0.216715i
$745$	−9.87428	+	47.4735i	−0.361766	+	1.73929i
$746$	0.605155	+	3.40835i	0.0221563	+	0.124788i
$747$	45.8158	−	23.4597i	1.67631	−	0.858346i
$748$	12.8410	+	3.64913i	0.469513	+	0.133426i
$749$		−	1.95771i		−	0.0715330i
$750$	15.0659	+	22.8696i	0.550130	+	0.835079i
$751$		−	50.8972i		−	1.85727i	−0.371000	−	0.928633i	$-0.620985\pi$
$751$		−	50.8972i		−	1.85727i	0.371000	−	0.928633i	$-0.379015\pi$
$752$	8.66532	+	2.11687i	0.315992	+	0.0771945i
$753$	2.64659	−	2.26498i	0.0964471	−	0.0825403i
$754$	−33.3543	+	5.92209i	−1.21469	+	0.215670i
$755$	−1.00139	+	4.81449i	−0.0364445	+	0.175217i
$756$	−2.55963	−	0.0979908i	−0.0930930	−	0.00356389i
$757$			11.0204i			0.400545i	0.979740	+	0.200272i	$0.0641827\pi$
$757$			11.0204i			0.400545i	−0.979740	+	0.200272i	$0.935817\pi$
$758$	25.6591	+	3.57511i	0.931982	+	0.129854i
$759$	−0.163970	−	2.05718i	−0.00595175	−	0.0746708i
$760$	10.4770	+	31.3959i	0.380041	+	1.13885i
$761$	−24.2325	−	7.87360i	−0.878426	−	0.285418i	−0.165122	−	0.986273i	$-0.552802\pi$
$761$	−24.2325	−	7.87360i	−0.878426	−	0.285418i	−0.713304	+	0.700855i	$0.752802\pi$
$762$	−22.8336	+	27.8230i	−0.827174	+	1.00792i
$763$	0.546646	+	1.68240i	0.0197899	+	0.0609071i
$764$	23.3995	+	6.64965i	0.846565	+	0.240576i
$765$	2.88738	+	10.5079i	0.104394	+	0.379913i
$766$	18.8824	−	38.8314i	0.682247	−	1.40304i
$767$	15.2572	+	20.9998i	0.550906	+	0.758258i
$768$	−2.36661	+	27.6116i	−0.0853978	+	0.996347i
$769$	−4.80509	+	3.49110i	−0.173276	+	0.125892i	−0.671043	−	0.741418i	$-0.734153\pi$
$769$	−4.80509	+	3.49110i	−0.173276	+	0.125892i	0.497767	+	0.867311i	$0.334153\pi$
$770$	3.20121	+	0.0939901i	0.115364	+	0.00338717i
$771$	−22.3512	+	19.1283i	−0.804957	+	0.688890i
$772$	30.9687	+	20.7819i	1.11459	+	0.747957i
$773$	0.162618	−	0.500486i	0.00584896	−	0.0180012i	−0.948089	−	0.318004i	$-0.896988\pi$
$773$	0.162618	−	0.500486i	0.00584896	−	0.0180012i	0.953938	+	0.300003i	$0.0969875\pi$
$774$	−23.3233	+	8.11399i	−0.838337	+	0.291651i
$775$	−3.96305	−	17.8754i	−0.142357	−	0.642104i
$776$	32.1524	−	35.9655i	1.15420	−	1.29109i
$777$	0.830908	−	1.35896i	0.0298087	−	0.0487525i
$778$	−3.01078	−	16.9573i	−0.107942	−	0.607948i
$779$	−30.0284	−	21.8169i	−1.07588	−	0.781672i
$780$	7.28582	+	31.7011i	0.260874	+	1.13508i
$781$	52.9154	−	38.4453i	1.89346	−	1.37568i
$782$	0.479767	+	0.462207i	0.0171564	+	0.0165285i
$783$	29.5558	+	2.23703i	1.05624	+	0.0799448i
$784$	10.5200	+	25.6862i	0.375714	+	0.917364i
$785$	−2.83766	+	13.6429i	−0.101280	+	0.486935i
$786$	24.4255	−	6.37383i	0.871228	−	0.227347i
$787$	−9.71157	−	29.8892i	−0.346180	−	1.06543i	−0.960949	−	0.276726i	$-0.910751\pi$
$787$	−9.71157	−	29.8892i	−0.346180	−	1.06543i	0.614769	−	0.788707i	$-0.289249\pi$
$788$	−4.74919	+	1.74134i	−0.169183	+	0.0620326i
$789$	8.64176	−	14.1337i	0.307655	−	0.503174i
$790$	30.0961	+	10.7652i	1.07077	+	0.383008i
$791$	−1.12823	−	3.47232i	−0.0401151	−	0.123462i
$792$	−29.3449	−	18.8258i	−1.04273	−	0.668945i
$793$		−	48.1855i		−	1.71112i
$794$	28.3653	+	3.95217i	1.00665	+	0.140257i
$795$	−32.2474	−	4.06952i	−1.14370	−	0.144331i
$796$	−10.8650	−	7.29111i	−0.385101	−	0.258427i
$797$	18.0641	+	13.1243i	0.639863	+	0.464888i	0.859803	−	0.510626i	$-0.170586\pi$
$797$	18.0641	+	13.1243i	0.639863	+	0.464888i	−0.219940	+	0.975513i	$0.570586\pi$
$798$	0.797778	+	3.05720i	0.0282410	+	0.108224i
$799$		−	3.62266i		−	0.128160i
$800$	25.2371	−	12.7706i	0.892267	−	0.451507i
$801$	9.67307	−	19.0786i	0.341781	−	0.674108i
$802$	−39.4740	+	21.0488i	−1.39388	+	0.743260i
$803$	−14.5264	+	19.9938i	−0.512624	+	0.705567i
$804$	16.7567	+	18.1634i	0.590964	+	0.640574i
$805$	0.138758	+	0.0793060i	0.00489058	+	0.00279517i
$806$	3.00102	−	21.5388i	0.105707	−	0.758672i
$807$	−54.6984	−	13.0742i	−1.92548	−	0.460233i
$808$	−2.18144	+	21.4906i	−0.0767428	+	0.756038i
$809$	18.8262	−	6.11702i	0.661895	−	0.215063i	0.0412435	−	0.999149i	$-0.486868\pi$
$809$	18.8262	−	6.11702i	0.661895	−	0.215063i	0.620652	+	0.784086i	$0.286868\pi$
$810$	0.721630	−	28.4513i	0.0253555	−	0.999678i
$811$	−5.98973	−	1.94618i	−0.210328	−	0.0683397i	0.201958	−	0.979394i	$-0.435270\pi$
$811$	−5.98973	−	1.94618i	−0.210328	−	0.0683397i	−0.412286	+	0.911054i	$0.635270\pi$
$812$	0.968028	+	2.64012i	0.0339711	+	0.0926502i
$813$	−2.37051	−	29.7405i	−0.0831375	−	1.04305i
$814$	19.1304	−	10.2010i	0.670521	−	0.357543i
$815$	4.88386	+	44.5924i	0.171074	+	1.56201i
$816$	11.1214	−	1.72748i	0.389326	−	0.0604738i
$817$	17.9040	+	24.6427i	0.626382	+	0.862141i
$818$	19.5841	−	20.3282i	0.684742	−	0.710757i
$819$	0.491875	+	3.06593i	0.0171875	+	0.107132i
$820$	−14.7020	+	28.1060i	−0.513418	+	0.981502i
$821$	1.30162	−	1.79152i	0.0454267	−	0.0625245i	−0.785699	−	0.618609i	$-0.787697\pi$
$821$	1.30162	−	1.79152i	0.0454267	−	0.0625245i	0.831126	+	0.556084i	$0.187697\pi$
$822$	1.73287	−	29.3858i	0.0604408	−	1.02495i
$823$	10.5836	−	32.5729i	0.368921	−	1.13542i	−0.578568	−	0.815634i	$-0.696388\pi$
$823$	10.5836	−	32.5729i	0.368921	−	1.13542i	0.947489	−	0.319788i	$-0.103612\pi$
$824$	−15.7106	−	14.0450i	−0.547306	−	0.489280i
$825$	−0.585184	+	35.5786i	−0.0203735	+	1.23869i
$826$	1.49492	−	1.55171i	0.0520148	−	0.0539909i
$827$	−25.4097	−	8.25612i	−0.883583	−	0.287093i	−0.168139	−	0.985763i	$-0.553776\pi$
$827$	−25.4097	−	8.25612i	−0.883583	−	0.287093i	−0.715444	+	0.698670i	$0.753776\pi$
$828$	−0.850155	−	1.51804i	−0.0295449	−	0.0527554i
$829$	4.83399	+	3.51210i	0.167892	+	0.121980i	0.668558	−	0.743660i	$-0.266912\pi$
$829$	4.83399	+	3.51210i	0.167892	+	0.121980i	−0.500667	+	0.865640i	$0.666912\pi$
$830$	−33.1660	+	42.9400i	−1.15121	+	1.49047i
$831$	16.0832	−	6.68071i	0.557921	−	0.231751i
$832$	33.3845	−	3.74934i	1.15740	−	0.129985i
$833$	9.11979	−	6.62592i	0.315982	−	0.229574i
$834$	7.19437	+	5.90422i	0.249121	+	0.204447i
$835$	0.283741	+	0.629874i	0.00981926	+	0.0217977i
$836$	−11.7556	+	41.3669i	−0.406576	+	1.43070i
$837$	−7.22891	+	17.6011i	−0.249868	+	0.608383i
$838$	−14.4349	−	7.01919i	−0.498646	−	0.242474i
$839$	13.2655	−	40.8270i	0.457976	−	1.40951i	−0.409629	−	0.912252i	$-0.634342\pi$
$839$	13.2655	−	40.8270i	0.457976	−	1.40951i	0.867605	−	0.497254i	$-0.165658\pi$
$840$	2.48521	−	1.05550i	0.0857481	−	0.0364181i
$841$	−1.09356	−	3.36565i	−0.0377091	−	0.116057i
$842$	−0.903654	+	6.48566i	−0.0311420	+	0.223511i
$843$	−44.1634	−	10.5561i	−1.52107	−	0.363571i
$844$	−41.9041	+	32.8995i	−1.44240	+	1.13245i
$845$	9.44770	−	4.25593i	0.325011	−	0.146408i
$846$	−2.73738	+	9.05659i	−0.0941131	+	0.311372i
$847$	1.17300	+	0.852232i	0.0403046	+	0.0292830i
$848$	−7.96641	+	32.6101i	−0.273568	+	1.11984i
$849$	2.96232	−	12.3935i	0.101667	−	0.425343i
$850$	−7.47053	−	8.72573i	−0.256237	−	0.299290i
$851$	1.08193			0.0370882
$852$	26.9922	−	48.0862i	0.924738	−	1.64740i
$853$	27.3731	−	37.6758i	0.937237	−	1.29000i	−0.0197321	−	0.999805i	$-0.506281\pi$
$853$	27.3731	−	37.6758i	0.937237	−	1.29000i	0.956969	−	0.290190i	$-0.0937187\pi$
$854$	−3.93822	+	0.699234i	−0.134763	+	0.0239273i
$855$	−33.8509	+	9.30163i	−1.15768	+	0.318109i
$856$	2.26870	−	22.3503i	0.0775425	−	0.763916i
$857$	22.7539			0.777257			0.388628	−	0.921395i	$-0.372949\pi$
$857$	22.7539			0.777257			0.388628	+	0.921395i	$0.372949\pi$
$858$	−15.4038	+	39.3568i	−0.525876	+	1.34362i
$859$	17.7327	−	5.76171i	0.605032	−	0.196587i	0.00954864	−	0.999954i	$-0.496961\pi$
$859$	17.7327	−	5.76171i	0.605032	−	0.196587i	0.595483	+	0.803368i	$0.296961\pi$
$860$	18.6022	−	18.2079i	0.634330	−	0.620883i
$861$	−1.57952	+	2.58333i	−0.0538300	+	0.0880397i
$862$	−25.9610	−	12.6239i	−0.884234	−	0.429972i
$863$	9.89297	−	3.21442i	0.336761	−	0.109420i	−0.135755	−	0.990742i	$-0.543346\pi$
$863$	9.89297	−	3.21442i	0.336761	−	0.109420i	0.472516	+	0.881322i	$0.343346\pi$
$864$	−29.1086	−	4.08496i	−0.990296	−	0.138973i
$865$	1.13667	−	1.98879i	0.0386481	−	0.0676208i
$866$	−10.0372	+	20.6415i	−0.341080	+	0.701428i
$867$	9.54184	+	22.9711i	0.324058	+	0.780141i
$868$	−1.80392	+	0.0672809i	−0.0612291	+	0.00228366i
$869$	24.4113	+	33.5992i	0.828096	+	1.13978i
$870$	−29.1927	+	11.1333i	−0.989726	+	0.377454i
$871$	17.6083	−	24.2357i	0.596634	−	0.821196i
$872$	4.29115	+	19.8407i	0.145317	+	0.671892i
$873$	36.2537	+	36.1092i	1.22700	+	1.22211i
$874$	−1.48899	+	1.54556i	−0.0503657	+	0.0522793i
$875$	−2.25048	−	1.59044i	−0.0760800	−	0.0537665i
$876$	−4.08514	+	20.4315i	−0.138024	+	0.690316i
$877$	28.7659	+	9.34660i	0.971355	+	0.315612i	0.751363	−	0.659889i	$-0.229397\pi$
$877$	28.7659	+	9.34660i	0.971355	+	0.315612i	0.219992	+	0.975502i	$0.429397\pi$
$878$	−2.72767	−	15.3628i	−0.0920544	−	0.518468i
$879$	8.68835	−	7.43557i	0.293051	−	0.250795i
$880$	36.4379	+	4.78278i	1.22832	+	0.161227i
$881$	30.6920	+	42.2439i	1.03404	+	1.42323i	0.901871	+	0.432006i	$0.142194\pi$
$881$	30.6920	+	42.2439i	1.03404	+	1.42323i	0.132169	+	0.991227i	$0.457806\pi$
$882$	−27.8061	+	9.67354i	−0.936280	+	0.325725i
$883$	7.44738	−	5.41084i	0.250624	−	0.182089i	−0.455379	−	0.890298i	$-0.650496\pi$
$883$	7.44738	−	5.41084i	0.250624	−	0.182089i	0.706003	+	0.708208i	$0.250496\pi$
$884$	−4.69671	−	12.8094i	−0.157968	−	0.430828i
$885$	17.4537	+	16.3859i	0.586701	+	0.550805i
$886$	8.43471	−	4.49766i	0.283370	−	0.151102i
$887$	−13.9983	+	4.54833i	−0.470018	+	0.152718i	−0.534443	−	0.845204i	$-0.679479\pi$
$887$	−13.9983	+	4.54833i	−0.470018	+	0.152718i	0.0644252	+	0.997923i	$0.479479\pi$
$888$	11.0609	−	14.5518i	0.371181	−	0.488325i
$889$	1.11920	−	3.44455i	0.0375368	−	0.115527i
$890$	−0.661734	+	22.5380i	−0.0221814	+	0.755476i
$891$	21.6163	−	30.0035i	0.724172	−	1.00516i
$892$	24.3973	+	31.0748i	0.816882	+	1.04046i
$893$	11.6703			0.390532
$894$	−19.3596	+	49.4640i	−0.647483	+	1.65432i
$895$	3.06493	+	3.37419i	0.102449	+	0.112787i
$896$	−0.790885	−	2.67411i	−0.0264216	−	0.0893359i
$897$	−1.60244	+	1.37138i	−0.0535037	+	0.0457890i
$898$	−4.73215	+	2.52334i	−0.157914	+	0.0842048i
$899$	20.8885			0.696670
$900$	12.0828	+	27.4592i	0.402761	+	0.915305i
$901$	13.6331			0.454184
$902$	−36.3661	+	19.3916i	−1.21086	+	0.645670i
$903$	1.88791	−	1.61569i	0.0628257	−	0.0537668i
$904$	−8.85654	−	40.9494i	−0.294564	−	1.36196i
$905$	−8.46638	+	3.81387i	−0.281432	+	0.126777i
$906$	−1.96334	+	5.01636i	−0.0652278	+	0.166657i
$907$	35.6781			1.18467			0.592336	−	0.805691i	$-0.298206\pi$
$907$	35.6781			1.18467			0.592336	+	0.805691i	$0.298206\pi$
$908$	−21.6202	+	16.9743i	−0.717490	+	0.563312i
$909$	−22.6364	−	3.53893i	−0.750803	−	0.117379i
$910$	−1.84534	−	2.70332i	−0.0611724	−	0.0896142i
$911$	−11.4827	+	35.3401i	−0.380439	+	1.17087i	0.559297	+	0.828967i	$0.311071\pi$
$911$	−11.4827	+	35.3401i	−0.380439	+	1.17087i	−0.939736	+	0.341902i	$0.888929\pi$
$912$	5.56502	+	35.8273i	0.184276	+	1.18636i
$913$	−67.0471	+	21.7849i	−2.21894	+	0.720976i
$914$	−8.98907	+	4.79326i	−0.297332	+	0.158547i
$915$	−8.33314	−	43.6530i	−0.275485	−	1.44312i
$916$	−46.2579	+	16.9609i	−1.52840	+	0.560405i
$917$	−2.05501	+	1.49305i	−0.0678624	+	0.0493049i
$918$	1.19384	+	11.8776i	0.0394026	+	0.392020i
$919$	−31.2023	−	42.9463i	−1.02927	−	1.41667i	−0.905495	−	0.424357i	$-0.860500\pi$
$919$	−31.2023	−	42.9463i	−1.02927	−	1.41667i	−0.123774	−	0.992310i	$-0.539500\pi$
$920$	1.49224	+	1.06620i	0.0491975	+	0.0351516i
$921$	10.5484	−	9.02741i	0.347582	−	0.297463i
$922$	2.15689	+	12.1480i	0.0710335	+	0.400074i
$923$	−63.5755	−	20.6569i	−2.09261	−	0.679931i
$924$	3.44017	+	0.687839i	0.113173	+	0.0226282i
$925$	−18.5694	−	1.78787i	−0.610558	−	0.0587848i
$926$	−37.8807	+	39.3199i	−1.24484	+	1.29213i
$927$	15.7734	−	15.8365i	0.518066	−	0.520140i
$928$	7.99203	+	31.2629i	0.262351	+	1.02626i
$929$	23.8502	−	32.8270i	0.782501	−	1.07702i	−0.212501	−	0.977161i	$-0.568161\pi$
$929$	23.8502	−	32.8270i	0.782501	−	1.07702i	0.995002	−	0.0998588i	$-0.0318391\pi$
$930$	−1.00616	−	20.0318i	−0.0329932	−	0.656867i
$931$	21.3452	+	29.3792i	0.699562	+	0.962864i
$932$	−1.43454	−	38.4626i	−0.0469899	−	1.25988i
$933$	−5.84684	−	14.0758i	−0.191417	−	0.460820i
$934$	10.0621	−	20.6925i	0.329240	−	0.677081i
$935$	−1.62491	−	14.8364i	−0.0531403	−	0.485202i
$936$	2.06254	+	35.5724i	0.0674163	+	1.16272i
$937$	−22.7895	+	7.40476i	−0.744501	+	0.241903i	−0.656613	−	0.754227i	$-0.728012\pi$
$937$	−22.7895	+	7.40476i	−0.744501	+	0.241903i	−0.0878876	+	0.996130i	$0.528012\pi$
$938$	−2.23631	−	1.08744i	−0.0730182	−	0.0355062i
$939$	−11.3448	+	18.5547i	−0.370225	+	0.605509i
$940$	−1.45452	−	9.86639i	−0.0474411	−	0.321806i
$941$	−6.06173	+	1.96958i	−0.197607	+	0.0642064i	−0.406148	−	0.913807i	$-0.633128\pi$
$941$	−6.06173	+	1.96958i	−0.197607	+	0.0642064i	0.208541	+	0.978014i	$0.433128\pi$
$942$	−5.56354	+	14.2149i	−0.181270	+	0.463146i
$943$	−2.05671			−0.0669758
$944$	18.8650	−	15.9828i	0.614003	−	0.520196i
$945$	0.975826	+	2.69248i	0.0317436	+	0.0875862i
$946$	33.3007	−	5.91257i	1.08270	−	0.192234i
$947$	−11.2001	+	15.4156i	−0.363955	+	0.500941i	−0.951245	−	0.308435i	$-0.900195\pi$
$947$	−11.2001	+	15.4156i	−0.363955	+	0.500941i	0.587290	+	0.809376i	$0.300195\pi$
$948$	30.5328	+	17.1390i	0.991660	+	0.556649i
$949$	25.2579			0.819906
$950$	28.1097	−	24.0661i	0.912000	−	0.780809i
$951$	5.27816	−	22.0822i	0.171156	−	0.716066i
$952$	−0.978765	+	0.569745i	−0.0317220	+	0.0184656i
$953$	23.6662	+	17.1945i	0.766624	+	0.556985i	0.900935	−	0.433955i	$-0.142882\pi$
$953$	23.6662	+	17.1945i	0.766624	+	0.556985i	−0.134311	+	0.990939i	$0.542882\pi$
$954$	−34.0826	−	10.3016i	−1.10346	−	0.333525i
$955$	−2.96100	−	27.0356i	−0.0958158	−	0.874853i
$956$	−5.31596	−	6.77093i	−0.171930	−	0.218988i
$957$	−39.4834	−	9.43743i	−1.27632	−	0.305069i
$958$	−4.41718	+	31.7027i	−0.142712	+	1.02427i
$959$	0.915339	+	2.81713i	0.0295579	+	0.0909697i
$960$	29.5958	−	9.17012i	0.955199	−	0.295964i
$961$	5.43578	−	16.7296i	0.175348	−	0.539664i
$962$	−19.9266	−	9.68961i	−0.642460	−	0.312406i
$963$	23.5419	+	3.68049i	0.758626	+	0.118602i
$964$	18.3608	+	5.21775i	0.591361	+	0.168052i
$965$	8.49119	−	40.8238i	0.273341	−	1.31417i
$966$	0.135337	+	0.111067i	0.00435438	+	0.00357352i
$967$	−33.1500	+	24.0849i	−1.06603	+	0.774517i	−0.975195	−	0.221349i	$-0.928954\pi$
$967$	−33.1500	+	24.0849i	−1.06603	+	0.774517i	−0.0908368	+	0.995866i	$0.528954\pi$
$968$	12.4040	+	11.0889i	0.398679	+	0.356410i
$969$	13.5982	−	5.64847i	0.436837	−	0.181455i
$970$	−50.7851	−	18.1655i	−1.63061	−	0.583259i
$971$	0.367434	+	0.266956i	0.0117915	+	0.00856704i	0.593665	−	0.804712i	$-0.297680\pi$
$971$	0.367434	+	0.266956i	0.0117915	+	0.00856704i	−0.581874	+	0.813279i	$0.697680\pi$
$972$	5.99048	−	30.5960i	0.192145	−	0.981367i
$973$	−0.890678	−	0.289399i	−0.0285538	−	0.00927770i
$974$	25.4816	−	26.4497i	0.816482	−	0.847502i
$975$	29.7690	−	20.8892i	0.953372	−	0.668990i
$976$	−45.7712	+	3.41902i	−1.46510	+	0.109440i
$977$	−2.58926	+	7.96894i	−0.0828379	+	0.254949i	−0.983894	−	0.178754i	$-0.942793\pi$
$977$	−2.58926	+	7.96894i	−0.0828379	+	0.254949i	0.901056	+	0.433703i	$0.142793\pi$
$978$	−2.89278	+	49.0554i	−0.0925009	+	1.56862i
$979$	−17.2202	+	23.7016i	−0.550360	+	0.757506i
$980$	22.1776	−	21.7075i	0.708439	−	0.693421i
$981$	−21.2590	+	3.41063i	−0.678748	+	0.108893i
$982$	1.41764	−	1.47150i	0.0452387	−	0.0469574i
$983$	3.04634	+	4.19292i	0.0971630	+	0.133733i	0.854830	−	0.518907i	$-0.173661\pi$
$983$	3.04634	+	4.19292i	0.0971630	+	0.133733i	−0.757667	+	0.652641i	$0.773661\pi$
$984$	−21.0264	+	27.6623i	−0.670297	+	0.881842i
$985$	3.80254	+	4.18623i	0.121159	+	0.133384i
$986$	11.5636	−	6.16607i	0.368259	−	0.196368i
$987$	−0.0756441	−	0.949033i	−0.00240778	−	0.0302081i
$988$	41.2653	−	15.1303i	1.31282	−	0.481360i
$989$	1.60523	+	0.521570i	0.0510433	+	0.0165850i
$990$	−7.14853	+	38.3186i	−0.227195	+	1.21785i
$991$	−25.3342	+	8.23157i	−0.804766	+	0.261484i	−0.682380	−	0.730998i	$-0.739055\pi$
$991$	−25.3342	+	8.23157i	−0.804766	+	0.261484i	−0.122387	+	0.992482i	$0.539055\pi$
$992$	−20.6725	−	1.32237i	−0.656354	−	0.0419852i
$993$	−26.7529	−	6.39455i	−0.848977	−	0.202925i
$994$	−0.765736	+	5.49580i	−0.0242877	+	0.174316i
$995$	−2.97904	+	14.3226i	−0.0944420	+	0.454057i
$996$	−43.6849	+	40.3017i	−1.38421	+	1.27701i
$997$	6.23847	−	8.58652i	0.197574	−	0.271938i	−0.698722	−	0.715393i	$-0.746248\pi$
$997$	6.23847	−	8.58652i	0.197574	−	0.271938i	0.896296	+	0.443455i	$0.146248\pi$
$998$	2.52678	−	1.34736i	0.0799838	−	0.0426499i
$999$	14.7797	+	12.5467i	0.467610	+	0.396960i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.r.a.179.38	yes	224
3.2	odd	2	inner	300.2.r.a.179.19	yes	224
4.3	odd	2	inner	300.2.r.a.179.8	yes	224
12.11	even	2	inner	300.2.r.a.179.49	yes	224
25.19	even	10	inner	300.2.r.a.119.49	yes	224
75.44	odd	10	inner	300.2.r.a.119.8	✓	224
100.19	odd	10	inner	300.2.r.a.119.19	yes	224
300.119	even	10	inner	300.2.r.a.119.38	yes	224

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.r.a.119.8	✓	224	75.44	odd	10	inner
300.2.r.a.119.19	yes	224	100.19	odd	10	inner
300.2.r.a.119.38	yes	224	300.119	even	10	inner
300.2.r.a.119.49	yes	224	25.19	even	10	inner
300.2.r.a.179.8	yes	224	4.3	odd	2	inner
300.2.r.a.179.19	yes	224	3.2	odd	2	inner
300.2.r.a.179.38	yes	224	1.1	even	1	trivial
300.2.r.a.179.49	yes	224	12.11	even	2	inner

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:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.r (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.665414 + 1.24789i) q^{2} +(1.31594 - 1.12619i) q^{3} +(-1.11445 + 1.66072i) q^{4} +(2.18921 + 0.455347i) q^{5} +(2.28100 + 0.892759i) q^{6} -0.246481 q^{7} +(-2.81397 - 0.285636i) q^{8} +(0.463385 - 2.96400i) q^{9} +O(q^{10})\)	\(q+(0.665414 + 1.24789i) q^{2} +(1.31594 - 1.12619i) q^{3} +(-1.11445 + 1.66072i) q^{4} +(2.18921 + 0.455347i) q^{5} +(2.28100 + 0.892759i) q^{6} -0.246481 q^{7} +(-2.81397 - 0.285636i) q^{8} +(0.463385 - 2.96400i) q^{9} +(0.888512 + 3.03489i) q^{10} +(-1.26970 + 3.90772i) q^{11} +(0.403750 + 3.44049i) q^{12} +(3.99376 - 1.29765i) q^{13} +(-0.164012 - 0.307581i) q^{14} +(3.39368 - 1.86627i) q^{15} +(-1.51601 - 3.70158i) q^{16} +(-1.31423 + 0.954847i) q^{17} +(4.00708 - 1.39403i) q^{18} +(-3.07602 - 4.23377i) q^{19} +(-3.19597 + 3.12822i) q^{20} +(-0.324354 + 0.277585i) q^{21} +(-5.72127 + 1.01582i) q^{22} +(-0.275788 - 0.0896090i) q^{23} +(-4.02469 + 2.79319i) q^{24} +(4.58532 + 1.99371i) q^{25} +(4.27683 + 4.12029i) q^{26} +(-2.72824 - 4.42230i) q^{27} +(0.274691 - 0.409338i) q^{28} +(-3.35289 + 4.61486i) q^{29} +(4.58709 + 2.99309i) q^{30} +(-2.15241 - 2.96253i) q^{31} +(3.61038 - 4.35490i) q^{32} +(2.73000 + 6.57224i) q^{33} +(-2.06605 - 1.00465i) q^{34} +(-0.539600 - 0.112235i) q^{35} +(4.40596 + 4.07277i) q^{36} +(-3.54844 + 1.15296i) q^{37} +(3.23645 - 6.65574i) q^{38} +(3.79414 - 6.20537i) q^{39} +(-6.03031 - 1.90665i) q^{40} +(6.74545 - 2.19173i) q^{41} +(-0.562225 - 0.220048i) q^{42} -5.82052 q^{43} +(-5.07464 - 6.46356i) q^{44} +(2.36410 - 6.27782i) q^{45} +(-0.0716913 - 0.403780i) q^{46} +(-1.31078 + 1.80414i) q^{47} +(-6.16367 - 3.16373i) q^{48} -6.93925 q^{49} +(0.563214 + 7.04860i) q^{50} +(-0.654110 + 2.73660i) q^{51} +(-2.29580 + 8.07871i) q^{52} +(-6.78949 - 4.93285i) q^{53} +(3.70312 - 6.34720i) q^{54} +(-4.55901 + 7.97668i) q^{55} +(0.693590 + 0.0704039i) q^{56} +(-8.81589 - 2.10720i) q^{57} +(-7.98989 - 1.11324i) q^{58} +(1.91013 + 5.87878i) q^{59} +(-0.682724 + 7.71582i) q^{60} +(3.54587 - 10.9131i) q^{61} +(2.26467 - 4.65727i) q^{62} +(-0.114216 + 0.730570i) q^{63} +(7.83682 + 1.60754i) q^{64} +(9.33409 - 1.02229i) q^{65} +(-6.38483 + 7.78000i) q^{66} +(5.77139 - 4.19316i) q^{67} +(-0.121093 - 3.24671i) q^{68} +(-0.463837 + 0.192670i) q^{69} +(-0.219002 - 0.748043i) q^{70} +(-12.8785 - 9.35677i) q^{71} +(-2.15057 + 8.20823i) q^{72} +(5.72041 + 1.85868i) q^{73} +(-3.79995 - 3.66086i) q^{74} +(8.27929 - 2.54035i) q^{75} +(10.4592 - 0.390097i) q^{76} +(0.312956 - 0.963180i) q^{77} +(10.2683 + 0.605517i) q^{78} +(5.94119 - 8.17734i) q^{79} +(-1.63337 - 8.79387i) q^{80} +(-8.57055 - 2.74694i) q^{81} +(7.22355 + 6.95915i) q^{82} +(10.0850 + 13.8808i) q^{83} +(-0.0995168 - 0.848017i) q^{84} +(-3.31193 + 1.49193i) q^{85} +(-3.87305 - 7.26335i) q^{86} +(0.785019 + 9.84887i) q^{87} +(4.68907 - 10.6335i) q^{88} +(6.78124 + 2.20336i) q^{89} +(9.40712 - 1.22722i) q^{90} +(-0.984388 + 0.319847i) q^{91} +(0.456167 - 0.358143i) q^{92} +(-6.16881 - 1.47449i) q^{93} +(-3.12357 - 0.435211i) q^{94} +(-4.80622 - 10.6693i) q^{95} +(-0.153411 - 9.79676i) q^{96} +(-10.0253 + 13.7987i) q^{97} +(-4.61747 - 8.65940i) q^{98} +(10.9941 + 5.57415i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9}+O(q^{10}) \) 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9	\( 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9} - 5 q^{12} - 20 q^{13} + 6 q^{16} - 24 q^{21} - 10 q^{22} - 28 q^{24} - 20 q^{25} - 50 q^{28} - 25 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 60 q^{37} - 20 q^{40} - 85 q^{42} - 30 q^{45} + 6 q^{46} - 70 q^{48} + 88 q^{49} + 40 q^{52} - 46 q^{54} + 50 q^{58} + 10 q^{60} - 28 q^{61} + 18 q^{64} + 64 q^{66} - 42 q^{69} - 40 q^{70} - 5 q^{72} - 20 q^{73} - 80 q^{76} - 85 q^{78} + 18 q^{81} - 48 q^{84} - 20 q^{85} + 50 q^{88} - 60 q^{90} + 60 q^{94} + 44 q^{96} - 120 q^{97}+O(q^{100}) \) 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9 - 5 * q^12 - 20 * q^13 + 6 * q^16 - 24 * q^21 - 10 * q^22 - 28 * q^24 - 20 * q^25 - 50 * q^28 - 25 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 60 * q^37 - 20 * q^40 - 85 * q^42 - 30 * q^45 + 6 * q^46 - 70 * q^48 + 88 * q^49 + 40 * q^52 - 46 * q^54 + 50 * q^58 + 10 * q^60 - 28 * q^61 + 18 * q^64 + 64 * q^66 - 42 * q^69 - 40 * q^70 - 5 * q^72 - 20 * q^73 - 80 * q^76 - 85 * q^78 + 18 * q^81 - 48 * q^84 - 20 * q^85 + 50 * q^88 - 60 * q^90 + 60 * q^94 + 44 * q^96 - 120 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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