LMFDB - Embedded newform 300.2.r.a.59.11

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			59.11
Character	$\chi$	$=$	300.59
Dual form			300.2.r.a.239.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.19645 + 0.753994i) q^{2} +(-0.269355 - 1.71098i) q^{3} +(0.862987 - 1.80423i) q^{4} +(-1.27460 - 1.83722i) q^{5} +(1.61234 + 1.84401i) q^{6} +4.55385 q^{7} +(0.327858 + 2.80936i) q^{8} +(-2.85490 + 0.921722i) q^{9} +O(q^{10})$	\(q+(-1.19645 + 0.753994i) q^{2} +(-0.269355 - 1.71098i) q^{3} +(0.862987 - 1.80423i) q^{4} +(-1.27460 - 1.83722i) q^{5} +(1.61234 + 1.84401i) q^{6} +4.55385 q^{7} +(0.327858 + 2.80936i) q^{8} +(-2.85490 + 0.921722i) q^{9} +(2.91025 + 1.23711i) q^{10} +(0.933681 + 0.678359i) q^{11} +(-3.31945 - 0.990573i) q^{12} +(-1.88353 - 2.59245i) q^{13} +(-5.44846 + 3.43358i) q^{14} +(-2.80013 + 2.67568i) q^{15} +(-2.51051 - 3.11406i) q^{16} +(1.86218 - 5.73119i) q^{17} +(2.72077 - 3.25537i) q^{18} +(-5.10616 - 1.65909i) q^{19} +(-4.41474 + 0.714172i) q^{20} +(-1.22660 - 7.79154i) q^{21} +(-1.62858 - 0.107633i) q^{22} +(1.32736 - 1.82695i) q^{23} +(4.71845 - 1.31767i) q^{24} +(-1.75079 + 4.68345i) q^{25} +(4.20824 + 1.68157i) q^{26} +(2.34603 + 4.63639i) q^{27} +(3.92992 - 8.21621i) q^{28} +(-5.12583 + 1.66548i) q^{29} +(1.33277 - 5.31260i) q^{30} +(0.0716621 + 0.0232844i) q^{31} +(5.35168 + 1.83291i) q^{32} +(0.909165 - 1.78023i) q^{33} +(2.09328 + 8.26115i) q^{34} +(-5.80434 - 8.36645i) q^{35} +(-0.800737 + 5.94633i) q^{36} +(0.124395 + 0.171215i) q^{37} +(7.36021 - 1.86499i) q^{38} +(-3.92829 + 3.92096i) q^{39} +(4.74354 - 4.18316i) q^{40} +(-0.709308 - 0.976279i) q^{41} +(7.34235 + 8.39734i) q^{42} +2.44269 q^{43} +(2.02967 - 1.09916i) q^{44} +(5.33226 + 4.07026i) q^{45} +(-0.210608 + 3.18667i) q^{46} +(4.66180 - 1.51471i) q^{47} +(-4.65187 + 5.13421i) q^{48} +13.7376 q^{49} +(-1.43656 - 6.92360i) q^{50} +(-10.3075 - 1.64242i) q^{51} +(-6.30284 + 1.16107i) q^{52} +(-2.83313 - 8.71946i) q^{53} +(-6.30272 - 3.77833i) q^{54} +(0.0562285 - 2.58002i) q^{55} +(1.49302 + 12.7934i) q^{56} +(-1.46330 + 9.18341i) q^{57} +(4.87704 - 5.85751i) q^{58} +(-0.913575 + 0.663751i) q^{59} +(2.41107 + 7.36117i) q^{60} +(2.75747 + 2.00342i) q^{61} +(-0.103296 + 0.0261741i) q^{62} +(-13.0008 + 4.19739i) q^{63} +(-7.78502 + 1.84214i) q^{64} +(-2.36218 + 6.76480i) q^{65} +(0.254509 + 2.81546i) q^{66} +(-0.333847 + 1.02748i) q^{67} +(-8.73336 - 8.30574i) q^{68} +(-3.48340 - 1.77898i) q^{69} +(13.2529 + 5.63361i) q^{70} +(3.48321 + 10.7202i) q^{71} +(-3.52545 - 7.71824i) q^{72} +(-1.69232 + 2.32928i) q^{73} +(-0.277927 - 0.111057i) q^{74} +(8.48487 + 1.73405i) q^{75} +(-7.39994 + 7.78092i) q^{76} +(4.25184 + 3.08915i) q^{77} +(1.74362 - 7.65315i) q^{78} +(2.26670 - 0.736495i) q^{79} +(-2.52133 + 8.58154i) q^{80} +(7.30086 - 5.26284i) q^{81} +(1.58476 + 0.633256i) q^{82} +(16.1707 + 5.25416i) q^{83} +(-15.1163 - 4.51092i) q^{84} +(-12.9030 + 3.88374i) q^{85} +(-2.92256 + 1.84178i) q^{86} +(4.23027 + 8.32158i) q^{87} +(-1.59964 + 2.84545i) q^{88} +(7.86895 - 10.8307i) q^{89} +(-9.44873 - 0.849372i) q^{90} +(-8.57730 - 11.8056i) q^{91} +(-2.15075 - 3.97149i) q^{92} +(0.0205366 - 0.128884i) q^{93} +(-4.43553 + 5.32724i) q^{94} +(3.46018 + 11.4958i) q^{95} +(1.69457 - 9.65031i) q^{96} +(5.51850 - 1.79307i) q^{97} +(-16.4363 + 10.3580i) q^{98} +(-3.29082 - 1.07605i) 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 $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{7}{10}\right)$

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 $

$2$	−1.19645	+	0.753994i	−0.846018	+	0.533154i
$2$	−1.19645	+	0.753994i	−0.846018	+	0.533154i
$3$	−0.269355	−	1.71098i	−0.155512	−	0.987834i
$3$	−0.269355	−	1.71098i	−0.155512	−	0.987834i
$4$	0.862987	−	1.80423i	0.431494	−	0.902116i
$5$	−1.27460	−	1.83722i	−0.570018	−	0.821632i
$5$	−1.27460	−	1.83722i	−0.570018	−	0.821632i
$6$	1.61234	+	1.84401i	0.658234	+	0.752813i
$7$	4.55385			1.72119			0.860597	−	0.509286i	$-0.170091\pi$
$7$	4.55385			1.72119			0.860597	+	0.509286i	$0.170091\pi$
$8$	0.327858	+	2.80936i	0.115915	+	0.993259i
$9$	−2.85490	+	0.921722i	−0.951632	+	0.307241i
$10$	2.91025	+	1.23711i	0.920302	+	0.391208i
$11$	0.933681	+	0.678359i	0.281515	+	0.204533i	0.719578	−	0.694412i	$-0.244335\pi$
$11$	0.933681	+	0.678359i	0.281515	+	0.204533i	−0.438063	+	0.898944i	$0.644335\pi$
$12$	−3.31945	−	0.990573i	−0.958243	−	0.285954i
$13$	−1.88353	−	2.59245i	−0.522396	−	0.719017i	0.463552	−	0.886070i	$-0.346575\pi$
$13$	−1.88353	−	2.59245i	−0.522396	−	0.719017i	−0.985948	+	0.167053i	$0.946575\pi$
$14$	−5.44846	+	3.43358i	−1.45616	+	0.917662i
$15$	−2.80013	+	2.67568i	−0.722991	+	0.690857i
$16$	−2.51051	−	3.11406i	−0.627627	−	0.778514i
$17$	1.86218	−	5.73119i	0.451644	−	1.39002i	−0.423386	−	0.905949i	$-0.639159\pi$
$17$	1.86218	−	5.73119i	0.451644	−	1.39002i	0.875030	−	0.484068i	$-0.160841\pi$
$18$	2.72077	−	3.25537i	0.641291	−	0.767298i
$19$	−5.10616	−	1.65909i	−1.17143	−	0.380622i	−0.342256	−	0.939607i	$-0.611191\pi$
$19$	−5.10616	−	1.65909i	−1.17143	−	0.380622i	−0.829178	+	0.558985i	$0.811191\pi$
$20$	−4.41474	+	0.714172i	−0.987167	+	0.159694i
$21$	−1.22660	−	7.79154i	−0.267667	−	1.70025i
$22$	−1.62858	−	0.107633i	−0.347215	−	0.0229475i
$23$	1.32736	−	1.82695i	0.276773	−	0.380945i	−0.647889	−	0.761735i	$-0.724348\pi$
$23$	1.32736	−	1.82695i	0.276773	−	0.380945i	0.924662	+	0.380790i	$0.124348\pi$
$24$	4.71845	−	1.31767i	0.963149	−	0.268969i
$25$	−1.75079	+	4.68345i	−0.350158	+	0.936691i
$26$	4.20824	+	1.68157i	0.825304	+	0.329784i
$27$	2.34603	+	4.63639i	0.451493	+	0.892275i
$28$	3.92992	−	8.21621i	0.742684	−	1.55272i
$29$	−5.12583	+	1.66548i	−0.951842	+	0.309272i	−0.743464	−	0.668776i	$-0.766819\pi$
$29$	−5.12583	+	1.66548i	−0.951842	+	0.309272i	−0.208378	+	0.978048i	$0.566819\pi$
$30$	1.33277	−	5.31260i	0.243330	−	0.969944i
$31$	0.0716621	+	0.0232844i	0.0128709	+	0.00418201i	0.315445	−	0.948944i	$-0.397846\pi$
$31$	0.0716621	+	0.0232844i	0.0128709	+	0.00418201i	−0.302574	+	0.953126i	$0.597846\pi$
$32$	5.35168	+	1.83291i	0.946052	+	0.324016i
$33$	0.909165	−	1.78023i	0.158265	−	0.309898i
$34$	2.09328	+	8.26115i	0.358994	+	1.41678i
$35$	−5.80434	−	8.36645i	−0.981112	−	1.41419i
$36$	−0.800737	+	5.94633i	−0.133456	+	0.991055i
$37$	0.124395	+	0.171215i	0.0204504	+	0.0281475i	0.819120	−	0.573623i	$-0.194462\pi$
$37$	0.124395	+	0.171215i	0.0204504	+	0.0281475i	−0.798669	+	0.601770i	$0.794462\pi$
$38$	7.36021	−	1.86499i	1.19398	−	0.302541i
$39$	−3.92829	+	3.92096i	−0.629030	+	0.627857i
$40$	4.74354	−	4.18316i	0.750020	−	0.661416i
$41$	−0.709308	−	0.976279i	−0.110775	−	0.152469i	0.750029	−	0.661404i	$-0.230039\pi$
$41$	−0.709308	−	0.976279i	−0.110775	−	0.152469i	−0.860805	+	0.508935i	$0.830039\pi$
$42$	7.34235	+	8.39734i	1.13295	+	1.29574i
$43$	2.44269			0.372507			0.186254	−	0.982502i	$-0.440365\pi$
$43$	2.44269			0.372507			0.186254	+	0.982502i	$0.440365\pi$
$44$	2.02967	−	1.09916i	0.305984	−	0.165705i
$45$	5.33226	+	4.07026i	0.794886	+	0.606758i
$46$	−0.210608	+	3.18667i	−0.0310524	+	0.469849i
$47$	4.66180	−	1.51471i	0.679993	−	0.220943i	0.0514005	−	0.998678i	$-0.483631\pi$
$47$	4.66180	−	1.51471i	0.679993	−	0.220943i	0.628592	+	0.777735i	$0.283631\pi$
$48$	−4.65187	+	5.13421i	−0.671439	+	0.741060i
$49$	13.7376			1.96251
$50$	−1.43656	−	6.92360i	−0.203160	−	0.979146i
$51$	−10.3075	−	1.64242i	−1.44334	−	0.229985i
$52$	−6.30284	+	1.16107i	−0.874047	+	0.161011i
$53$	−2.83313	−	8.71946i	−0.389160	−	1.19771i	−0.933417	−	0.358792i	$-0.883189\pi$
$53$	−2.83313	−	8.71946i	−0.389160	−	1.19771i	0.544258	−	0.838918i	$-0.316811\pi$
$54$	−6.30272	−	3.77833i	−0.857691	−	0.514165i
$55$	0.0562285	−	2.58002i	0.00758185	−	0.347889i
$56$	1.49302	+	12.7934i	0.199513	+	1.70959i
$57$	−1.46330	+	9.18341i	−0.193819	+	1.21637i
$58$	4.87704	−	5.85751i	0.640386	−	0.769129i
$59$	−0.913575	+	0.663751i	−0.118937	+	0.0864130i	−0.645664	−	0.763622i	$-0.723419\pi$
$59$	−0.913575	+	0.663751i	−0.118937	+	0.0864130i	0.526726	+	0.850035i	$0.323419\pi$
$60$	2.41107	+	7.36117i	0.311267	+	0.950322i
$61$	2.75747	+	2.00342i	0.353058	+	0.256512i	0.750151	−	0.661267i	$-0.229981\pi$
$61$	2.75747	+	2.00342i	0.353058	+	0.256512i	−0.397093	+	0.917779i	$0.629981\pi$
$62$	−0.103296	+	0.0261741i	−0.0131187	+	0.00332412i
$63$	−13.0008	+	4.19739i	−1.63794	+	0.528821i
$64$	−7.78502	+	1.84214i	−0.973127	+	0.230268i
$65$	−2.36218	+	6.76480i	−0.292992	+	0.839070i
$66$	0.254509	+	2.81546i	0.0313279	+	0.346559i
$67$	−0.333847	+	1.02748i	−0.0407860	+	0.125526i	−0.969376	−	0.245580i	$-0.921022\pi$
$67$	−0.333847	+	1.02748i	−0.0407860	+	0.125526i	0.928590	+	0.371107i	$0.121022\pi$
$68$	−8.73336	−	8.30574i	−1.05908	−	1.00722i
$69$	−3.48340	−	1.77898i	−0.419352	−	0.214164i
$70$	13.2529	+	5.63361i	1.58402	+	0.673345i
$71$	3.48321	+	10.7202i	0.413381	+	1.27226i	0.913691	+	0.406410i	$0.133220\pi$
$71$	3.48321	+	10.7202i	0.413381	+	1.27226i	−0.500309	+	0.865847i	$0.666780\pi$
$72$	−3.52545	−	7.71824i	−0.415478	−	0.909603i
$73$	−1.69232	+	2.32928i	−0.198071	+	0.272622i	−0.896486	−	0.443071i	$-0.853889\pi$
$73$	−1.69232	+	2.32928i	−0.198071	+	0.272622i	0.698415	+	0.715693i	$0.253889\pi$
$74$	−0.277927	−	0.111057i	−0.0323084	−	0.0129101i
$75$	8.48487	+	1.73405i	0.979749	+	0.200231i
$76$	−7.39994	+	7.78092i	−0.848831	+	0.892533i
$77$	4.25184	+	3.08915i	0.484543	+	0.352041i
$78$	1.74362	−	7.65315i	0.197427	−	0.866548i
$79$	2.26670	−	0.736495i	0.255024	−	0.0828622i	−0.178715	−	0.983901i	$-0.557194\pi$
$79$	2.26670	−	0.736495i	0.255024	−	0.0828622i	0.433739	+	0.901039i	$0.357194\pi$
$80$	−2.52133	+	8.58154i	−0.281894	+	0.959446i
$81$	7.30086	−	5.26284i	0.811206	−	0.584760i
$82$	1.58476	+	0.633256i	0.175008	+	0.0699314i
$83$	16.1707	+	5.25416i	1.77496	+	0.576719i	0.998566	−	0.0535289i	$-0.0170469\pi$
$83$	16.1707	+	5.25416i	1.77496	+	0.576719i	0.776394	+	0.630248i	$0.217047\pi$
$84$	−15.1163	−	4.51092i	−1.64932	−	0.492182i
$85$	−12.9030	+	3.88374i	−1.39953	+	0.421250i
$86$	−2.92256	+	1.84178i	−0.315148	+	0.198604i
$87$	4.23027	+	8.32158i	0.453533	+	0.892167i
$88$	−1.59964	+	2.84545i	−0.170522	+	0.303326i
$89$	7.86895	−	10.8307i	0.834107	−	1.14805i	−0.153038	−	0.988220i	$-0.548906\pi$
$89$	7.86895	−	10.8307i	0.834107	−	1.14805i	0.987145	−	0.159830i	$-0.0510945\pi$
$90$	−9.44873	−	0.849372i	−0.995984	−	0.0895317i
$91$	−8.57730	−	11.8056i	−0.899146	−	1.23757i
$92$	−2.15075	−	3.97149i	−0.224231	−	0.414057i
$93$	0.0205366	−	0.128884i	0.00212955	−	0.0133647i
$94$	−4.43553	+	5.32724i	−0.457490	+	0.549463i
$95$	3.46018	+	11.4958i	0.355007	+	1.17945i
$96$	1.69457	−	9.65031i	0.172951	−	0.984930i
$97$	5.51850	−	1.79307i	0.560318	−	0.182058i	−0.0151461	−	0.999885i	$-0.504821\pi$
$97$	5.51850	−	1.79307i	0.560318	−	0.182058i	0.575464	+	0.817827i	$0.304821\pi$
$98$	−16.4363	+	10.3580i	−1.66032	+	1.04632i
$99$	−3.29082	−	1.07605i	−0.330740	−	0.108147i
$100$	6.93913	+	7.20059i	0.693913	+	0.720059i
$101$			13.5605i			1.34932i	0.738127	+	0.674662i	$0.235711\pi$
$101$			13.5605i			1.34932i	−0.738127	+	0.674662i	$0.764289\pi$
$102$	13.5708	−	5.80674i	1.34371	−	0.574953i
$103$	4.23913	+	13.0467i	0.417694	+	1.28553i	0.909819	+	0.415005i	$0.136220\pi$
$103$	4.23913	+	13.0467i	0.417694	+	1.28553i	−0.492126	+	0.870524i	$0.663780\pi$
$104$	6.66560	−	6.14146i	0.653616	−	0.602220i
$105$	−12.7514	+	12.1846i	−1.24441	+	1.18910i
$106$	9.96411	+	8.29625i	0.967800	+	0.805803i
$107$		−	5.23345i		−	0.505936i	−0.967475	−	0.252968i	$-0.918593\pi$
$107$		−	5.23345i		−	0.505936i	0.967475	−	0.252968i	$-0.0814068\pi$
$108$	10.3897	−	0.231631i	0.999752	−	0.0222887i
$109$	6.23650	−	4.53108i	0.597348	−	0.433999i	−0.247588	−	0.968865i	$-0.579638\pi$
$109$	6.23650	−	4.53108i	0.597348	−	0.433999i	0.844937	+	0.534866i	$0.179638\pi$
$110$	1.87804	+	3.12926i	0.179064	+	0.298363i
$111$	0.259438	−	0.258954i	0.0246248	−	0.0245789i
$112$	−11.4325	−	14.1810i	−1.08027	−	1.33997i
$113$	−9.18534	+	6.67354i	−0.864084	+	0.627794i	−0.928993	−	0.370097i	$-0.879324\pi$
$113$	−9.18534	+	6.67354i	−0.864084	+	0.627794i	0.0649089	+	0.997891i	$0.479324\pi$
$114$	−5.17347	−	12.0908i	−0.484540	−	1.13241i
$115$	−5.04836	−	0.110023i	−0.470762	−	0.0102597i
$116$	−1.41861	+	10.6855i	−0.131714	+	0.992121i
$117$	7.76679	+	5.66509i	0.718040	+	0.523738i
$118$	0.592583	−	1.48297i	0.0545517	−	0.136519i
$119$	8.48008	−	26.0990i	0.777367	−	2.39249i
$120$	−8.43499	−	6.98934i	−0.770006	−	0.638036i
$121$	−2.98760	−	9.19488i	−0.271600	−	0.835898i
$122$	−4.80975	−	0.317877i	−0.435454	−	0.0287793i
$123$	−1.47934	+	1.47658i	−0.133387	+	0.133138i
$124$	0.103854	−	0.109201i	0.00932637	−	0.00980653i
$125$	10.8361	−	2.75293i	0.969212	−	0.246230i
$126$	12.3900	−	14.8245i	1.10379	−	1.32067i
$127$	−0.342483	−	0.248829i	−0.0303905	−	0.0220800i	0.572486	−	0.819914i	$-0.305979\pi$
$127$	−0.342483	−	0.248829i	−0.0303905	−	0.0220800i	−0.602877	+	0.797834i	$0.705979\pi$
$128$	7.92542	−	8.07389i	0.700515	−	0.713638i
$129$	−0.657953	−	4.17940i	−0.0579295	−	0.367975i
$130$	−2.27439	−	9.87481i	−0.199477	−	0.866078i
$131$	3.80477	−	11.7099i	0.332424	−	1.02310i	−0.635553	−	0.772057i	$-0.719228\pi$
$131$	3.80477	−	11.7099i	0.332424	−	1.02310i	0.967977	−	0.251039i	$-0.0807721\pi$
$132$	−2.42735	−	3.17666i	−0.211273	−	0.276493i
$133$	−23.2527	−	7.55526i	−2.01626	−	0.655124i
$134$	−0.375279	−	1.48104i	−0.0324192	−	0.127943i
$135$	5.52785	−	10.2197i	0.475762	−	0.879574i
$136$	16.7115	+	3.35251i	1.43300	+	0.287475i
$137$	8.66443	−	6.29508i	0.740252	−	0.537825i	−0.152538	−	0.988298i	$-0.548745\pi$
$137$	8.66443	−	6.29508i	0.740252	−	0.537825i	0.892790	+	0.450473i	$0.148745\pi$
$138$	5.50905	−	0.498001i	0.468962	−	0.0423927i
$139$	11.6693	−	16.0614i	0.989779	−	1.36231i	0.0583879	−	0.998294i	$-0.481404\pi$
$139$	11.6693	−	16.0614i	0.989779	−	1.36231i	0.931391	−	0.364020i	$-0.118596\pi$
$140$	−20.1041	+	3.25223i	−1.69911	+	0.274864i
$141$	−3.84731	−	7.56824i	−0.324002	−	0.637361i
$142$	−12.2505	−	10.1999i	−1.02804	−	0.855956i
$143$		−	3.69823i		−	0.309261i
$144$	10.0375	+	6.57632i	0.836461	+	0.548027i
$145$	9.59324	+	7.29448i	0.796676	+	0.605773i
$146$	0.268516	−	4.06287i	0.0222225	−	0.336245i
$147$	−3.70029	−	23.5047i	−0.305194	−	1.93863i
$148$	0.416262	−	0.0766809i	0.0342165	−	0.00630313i
$149$			21.4419i			1.75659i	0.478119	+	0.878295i	$0.341319\pi$
$149$			21.4419i			1.75659i	−0.478119	+	0.878295i	$0.658681\pi$
$150$	−11.4592	+	4.32283i	−0.935639	+	0.352958i
$151$			18.0794i			1.47128i	0.677374	+	0.735638i	$0.263118\pi$
$151$			18.0794i			1.47128i	−0.677374	+	0.735638i	$0.736882\pi$
$152$	2.98689	−	14.8890i	0.242269	−	1.20766i
$153$	−0.0337543	+	18.0784i	−0.00272887	+	1.46155i
$154$	−7.41632	−	0.490146i	−0.597624	−	0.0394971i
$155$	−0.0485618	−	0.161338i	−0.00390058	−	0.0129590i
$156$	3.68426	+	10.4713i	0.294977	+	0.838374i
$157$			15.3020i			1.22124i	0.791925	+	0.610618i	$0.209079\pi$
$157$			15.3020i			1.22124i	−0.791925	+	0.610618i	$0.790921\pi$
$158$	−2.15668	+	2.59026i	−0.171576	+	0.206070i
$159$	−14.1557	+	7.19605i	−1.12262	+	0.570684i
$160$	−3.45378	−	12.1685i	−0.273045	−	0.962001i
$161$	6.04458	−	8.31965i	0.476380	−	0.655681i
$162$	−4.76696	+	11.8015i	−0.374528	+	0.927216i
$163$	9.40331	−	6.83191i	0.736524	−	0.535116i	−0.155096	−	0.987899i	$-0.549569\pi$
$163$	9.40331	−	6.83191i	0.736524	−	0.535116i	0.891621	+	0.452783i	$0.149569\pi$
$164$	−2.37356	+	0.437241i	−0.185344	+	0.0341427i
$165$	−4.42950	+	0.598736i	−0.344836	+	0.0466115i
$166$	−23.3090	+	5.90622i	−1.80913	+	0.458412i
$167$	−7.12195	−	2.31406i	−0.551113	−	0.179067i	0.0202055	−	0.999796i	$-0.493568\pi$
$167$	−7.12195	−	2.31406i	−0.551113	−	0.179067i	−0.571319	+	0.820728i	$0.693568\pi$
$168$	21.4871	−	6.00050i	1.65777	−	0.462948i
$169$	0.844086	−	2.59783i	0.0649297	−	0.199833i
$170$	12.5095	−	14.3755i	0.959435	−	1.10255i
$171$	16.1068	+	0.0300731i	1.23172	+	0.00229975i
$172$	2.10801	−	4.40719i	0.160735	−	0.336045i
$173$	−4.41136	−	3.20504i	−0.335389	−	0.243675i	0.407325	−	0.913283i	$-0.366462\pi$
$173$	−4.41136	−	3.20504i	−0.335389	−	0.243675i	−0.742714	+	0.669609i	$0.766462\pi$
$174$	−11.3357	−	6.76675i	−0.859359	−	0.512986i
$175$	−7.97284	+	21.3278i	−0.602690	+	1.61223i
$176$	−0.231563	−	4.61056i	−0.0174547	−	0.347534i
$177$	1.38174	+	1.38432i	0.103858	+	0.104052i
$178$	−1.24854	+	18.8915i	−0.0935823	+	1.41598i
$179$	5.20279	+	16.0125i	0.388875	+	1.19683i	0.933630	+	0.358238i	$0.116622\pi$
$179$	5.20279	+	16.0125i	0.388875	+	1.19683i	−0.544756	+	0.838595i	$0.683378\pi$
$180$	11.9454	−	6.10805i	0.890355	−	0.455267i
$181$	1.93123	−	5.94372i	0.143547	−	0.441793i	−0.853274	−	0.521463i	$-0.825387\pi$
$181$	1.93123	−	5.94372i	0.143547	−	0.441793i	0.996821	+	0.0796697i	$0.0253866\pi$
$182$	19.1637	+	7.65764i	1.42051	+	0.567622i
$183$	2.68507	−	5.25761i	0.198486	−	0.388654i
$184$	5.56774	+	3.13004i	0.410459	+	0.230750i
$185$	0.156006	−	0.446771i	0.0114698	−	0.0328473i
$186$	0.0726068	+	0.169688i	0.00532379	+	0.0124421i
$187$	5.62648	−	4.08788i	0.411449	−	0.298935i
$188$	1.29018	−	9.71813i	0.0940962	−	0.708768i
$189$	10.6835	+	21.1135i	0.777108	+	1.53578i
$190$	−12.8077	−	11.1452i	−0.929170	−	0.808561i
$191$	−8.77250	+	6.37359i	−0.634756	+	0.461177i	−0.858044	−	0.513575i	$-0.828321\pi$
$191$	−8.77250	+	6.37359i	−0.634756	+	0.461177i	0.223289	+	0.974752i	$0.428321\pi$
$192$	5.24881	+	12.8238i	0.378800	+	0.925479i
$193$		−	24.3410i		−	1.75210i	−0.482220	−	0.876050i	$-0.660169\pi$
$193$		−	24.3410i		−	1.75210i	0.482220	−	0.876050i	$-0.339831\pi$
$194$	−5.25064	+	6.30623i	−0.376974	+	0.452761i
$195$	12.2107	+	2.21950i	0.874426	+	0.158941i
$196$	11.8553	−	24.7858i	0.846810	−	1.77041i
$197$	3.07930	+	9.47712i	0.219391	+	0.675217i	0.998813	+	0.0487168i	$0.0155132\pi$
$197$	3.07930	+	9.47712i	0.219391	+	0.675217i	−0.779421	+	0.626500i	$0.784487\pi$
$198$	4.74864	−	1.19382i	0.337471	−	0.0848409i
$199$		−	7.03547i		−	0.498731i	−0.968409	−	0.249366i	$-0.919778\pi$
$199$		−	7.03547i		−	0.498731i	0.968409	−	0.249366i	$-0.0802221\pi$
$200$	−13.7315	−	3.38310i	−0.970965	−	0.239221i
$201$	1.84791	+	0.294450i	0.130342	+	0.0207689i
$202$	−10.2246	−	16.2245i	−0.719398	−	1.14155i
$203$	−23.3423	+	7.58436i	−1.63831	+	0.532318i
$204$	−11.8586	+	17.1798i	−0.830266	+	1.20283i
$205$	−0.889560	+	2.54752i	−0.0621296	+	0.177927i
$206$	−14.9090	−	12.4134i	−1.03876	−	0.864886i
$207$	−2.10552	+	6.43920i	−0.146344	+	0.447555i
$208$	−3.34444	+	12.3738i	−0.231895	+	0.857967i
$209$	−3.64206	−	5.01287i	−0.251927	−	0.346747i
$210$	6.06926	−	24.1928i	0.418819	−	1.66946i
$211$	−13.1881	+	18.1518i	−0.907904	+	1.24962i	0.0599737	+	0.998200i	$0.480898\pi$
$211$	−13.1881	+	18.1518i	−0.907904	+	1.24962i	−0.967877	+	0.251422i	$0.919102\pi$
$212$	−18.1769	−	2.41317i	−1.24839	−	0.165737i
$213$	17.4039	−	8.84725i	1.19249	−	0.606204i
$214$	3.94599	+	6.26156i	0.269742	+	0.428031i
$215$	−3.11346	−	4.48778i	−0.212336	−	0.306064i
$216$	−12.2561	+	8.11092i	−0.833925	+	0.551878i
$217$	0.326339	+	0.106034i	0.0221533	+	0.00719805i
$218$	−4.04526	+	10.1235i	−0.273979	+	0.685650i
$219$	4.44118	+	2.26812i	0.300107	+	0.153265i
$220$	−4.60643	−	2.32797i	−0.310565	−	0.156952i
$221$	−18.3653	+	5.96725i	−1.23538	+	0.401400i
$222$	−0.115155	+	0.505441i	−0.00772871	+	0.0339230i
$223$	−11.0121	−	8.00076i	−0.737425	−	0.535770i	0.154479	−	0.987996i	$-0.450630\pi$
$223$	−11.0121	−	8.00076i	−0.737425	−	0.535770i	−0.891904	+	0.452226i	$0.850630\pi$
$224$	24.3707	+	8.34680i	1.62834	+	0.557694i
$225$	0.681484	−	14.9845i	0.0454323	−	0.998967i
$226$	5.95800	−	14.9102i	0.396320	−	0.991815i
$227$	−1.47408	+	2.02890i	−0.0978381	+	0.134663i	−0.855129	−	0.518415i	$-0.826522\pi$
$227$	−1.47408	+	2.02890i	−0.0978381	+	0.134663i	0.757291	+	0.653077i	$0.226522\pi$
$228$	15.3062	+	10.5653i	1.01368	+	0.699704i
$229$	1.06255	+	3.27019i	0.0702153	+	0.216101i	0.980006	−	0.198966i	$-0.0637583\pi$
$229$	1.06255	+	3.27019i	0.0702153	+	0.216101i	−0.909791	+	0.415066i	$0.863758\pi$
$230$	6.12307	−	3.67480i	0.403743	−	0.242309i
$231$	4.14021	−	8.10689i	0.272406	−	0.533394i
$232$	−6.35949	−	13.8543i	−0.417521	−	0.909577i
$233$	−5.52382	+	17.0006i	−0.361878	+	1.11375i	0.590036	+	0.807377i	$0.299114\pi$
$233$	−5.52382	+	17.0006i	−0.361878	+	1.11375i	−0.951913	+	0.306368i	$0.900886\pi$
$234$	−13.5640	−	0.921888i	−0.886708	−	0.0602657i
$235$	−8.72478	−	6.63412i	−0.569142	−	0.432762i
$236$	0.409157	+	2.22111i	0.0266339	+	0.144582i
$237$	−1.87068	−	3.67990i	−0.121513	−	0.239035i
$238$	9.53248	+	37.6201i	0.617899	+	2.43855i
$239$	5.13868	+	3.73347i	0.332394	+	0.241498i	0.741446	−	0.671013i	$-0.234141\pi$
$239$	5.13868	+	3.73347i	0.332394	+	0.241498i	−0.409052	+	0.912511i	$0.634141\pi$
$240$	15.3620	+	2.00247i	0.991611	+	0.129259i
$241$	−4.48956	+	3.26186i	−0.289198	+	0.210115i	−0.722919	−	0.690932i	$-0.757200\pi$
$241$	−4.48956	+	3.26186i	−0.289198	+	0.210115i	0.433721	+	0.901047i	$0.357200\pi$
$242$	10.5074	+	8.74859i	0.675441	+	0.562381i
$243$	−10.9711	−	11.0740i	−0.703798	−	0.710400i
$244$	5.99430	−	3.24620i	0.383746	−	0.207816i
$245$	−17.5099	−	25.2390i	−1.11867	−	1.61246i
$246$	0.656623	−	2.88206i	0.0418648	−	0.183754i
$247$	5.31647	+	16.3624i	0.338279	+	1.04112i
$248$	−0.0419194	+	0.208959i	−0.00266188	+	0.0132689i
$249$	4.63411	−	29.0829i	0.293675	−	1.84305i
$250$	−10.8892	+	11.4641i	−0.688692	+	0.725054i
$251$	21.4617			1.35465			0.677324	−	0.735685i	$-0.263140\pi$
$251$	21.4617			1.35465			0.677324	+	0.735685i	$0.263140\pi$
$252$	−3.64644	+	27.0787i	−0.229704	+	1.70580i
$253$	2.47865	−	0.805363i	0.155832	−	0.0506328i
$254$	0.597380	+	0.0394809i	0.0374829	+	0.00247725i
$255$	10.1205	+	21.0307i	0.633769	+	1.31699i
$256$	−3.39471	+	15.6357i	−0.212170	+	0.977233i
$257$	−21.8868			−1.36526			−0.682630	−	0.730764i	$-0.739164\pi$
$257$	−21.8868			−1.36526			−0.682630	+	0.730764i	$0.739164\pi$
$258$	3.93845	+	4.50435i	0.245197	+	0.280429i
$259$	0.566475	+	0.779686i	0.0351991	+	0.0484474i
$260$	10.1667	+	10.0998i	0.630515	+	0.626366i
$261$	13.0986	−	9.47937i	0.810782	−	0.586758i
$262$	4.27695	+	16.8790i	0.264231	+	1.04279i
$263$	−2.80186	−	3.85643i	−0.172770	−	0.237798i	0.713847	−	0.700302i	$-0.246951\pi$
$263$	−2.80186	−	3.85643i	−0.172770	−	0.237798i	−0.886617	+	0.462504i	$0.846951\pi$
$264$	5.29938	+	1.97051i	0.326154	+	0.121277i
$265$	−12.4085	+	16.3189i	−0.762249	+	1.00246i
$266$	33.5173	−	8.49289i	2.05508	−	0.520733i
$267$	−20.6506	−	10.5463i	−1.26380	−	0.645423i
$268$	1.56570	+	1.48904i	0.0956404	+	0.0909575i
$269$	2.73090	+	0.887322i	0.166506	+	0.0541010i	0.391084	−	0.920355i	$-0.372100\pi$
$269$	2.73090	+	0.887322i	0.166506	+	0.0541010i	−0.224578	+	0.974456i	$0.572100\pi$
$270$	1.09181	+	16.3954i	0.0664454	+	0.997790i
$271$	−11.2222	+	3.64630i	−0.681698	+	0.221497i	−0.629339	−	0.777131i	$-0.716674\pi$
$271$	−11.2222	+	3.64630i	−0.681698	+	0.221497i	−0.0523593	+	0.998628i	$0.516674\pi$
$272$	−22.5223	+	8.58926i	−1.36561	+	0.520801i
$273$	−17.8889	+	17.8555i	−1.08268	+	1.08066i
$274$	−5.62011	+	14.0647i	−0.339523	+	0.849678i
$275$	−4.81174	+	3.18518i	−0.290159	+	0.192074i
$276$	−6.21582	+	4.74963i	−0.374148	+	0.285894i
$277$	−4.07391	+	5.60725i	−0.244777	+	0.336907i	−0.913674	−	0.406449i	$-0.866767\pi$
$277$	−4.07391	+	5.60725i	−0.244777	+	0.336907i	0.668896	+	0.743356i	$0.266767\pi$
$278$	−1.85154	+	28.0153i	−0.111048	+	1.68025i
$279$	−0.226050		0.000422059i	−0.0135332		2.52680e-5i
$280$	21.6014	−	19.0495i	1.29093	−	1.13842i
$281$	−3.72072	−	1.20894i	−0.221960	−	0.0721191i	0.195926	−	0.980619i	$-0.437229\pi$
$281$	−3.72072	−	1.20894i	−0.221960	−	0.0721191i	−0.417886	+	0.908500i	$0.637229\pi$
$282$	10.3095	+	6.15417i	0.613923	+	0.366475i
$283$	2.27731	−	7.00885i	0.135372	−	0.416633i	−0.860275	−	0.509830i	$-0.829708\pi$
$283$	2.27731	−	7.00885i	0.135372	−	0.416633i	0.995648	+	0.0931965i	$0.0297085\pi$
$284$	22.3477	+	2.96689i	1.32609	+	0.176053i
$285$	18.7371	−	9.01677i	1.10989	−	0.534107i
$286$	2.78844	+	4.42475i	0.164884	+	0.261641i
$287$	−3.23009	−	4.44583i	−0.190666	−	0.262429i
$288$	−16.9679	−	0.300007i	−0.999844	−	0.0176781i
$289$	−15.6255	−	11.3526i	−0.919150	−	0.667801i
$290$	−16.9778	−	1.49423i	−0.996973	−	0.0877444i
$291$	−4.55434	−	8.95906i	−0.266980	−	0.525189i
$292$	2.74211	+	5.06348i	0.160470	+	0.296318i
$293$	21.9252			1.28089			0.640443	−	0.768006i	$-0.278751\pi$
$293$	21.9252			1.28089			0.640443	+	0.768006i	$0.278751\pi$
$294$	22.1496	+	25.3322i	1.29179	+	1.47740i
$295$	2.38390	+	0.832425i	0.138796	+	0.0484657i
$296$	−0.440220	+	0.405604i	−0.0255873	+	0.0235752i
$297$	−0.954697	+	5.92036i	−0.0553972	+	0.343534i
$298$	−16.1671	−	25.6542i	−0.936533	−	1.48611i
$299$	−7.23639			−0.418491
$300$	10.4510	−	13.8122i	0.603387	−	0.797448i
$301$	11.1237			0.641158
$302$	−13.6317	−	21.6311i	−0.784417	−	1.24473i
$303$	23.2018	−	3.65260i	1.33291	−	0.209837i
$304$	7.65254	+	20.0660i	0.438903	+	1.15087i
$305$	0.166062	−	7.61966i	0.00950867	−	0.436301i
$306$	−13.5906	−	21.6553i	−0.776922	−	1.23795i
$307$	0.379994			0.0216874			0.0108437	−	0.999941i	$-0.496548\pi$
$307$	0.379994			0.0216874			0.0108437	+	0.999941i	$0.496548\pi$
$308$	9.24282	−	5.00542i	0.526659	−	0.285210i
$309$	21.1808	−	10.7673i	1.20493	−	0.612527i
$310$	0.179749	+	0.156417i	0.0102091	+	0.00888391i
$311$	3.10823	+	2.25826i	0.176252	+	0.128054i	0.672413	−	0.740176i	$-0.265258\pi$
$311$	3.10823	+	2.25826i	0.176252	+	0.128054i	−0.496162	+	0.868230i	$0.665258\pi$
$312$	−12.3033	−	9.75047i	−0.696539	−	0.552012i
$313$	8.45901	+	11.6428i	0.478131	+	0.658091i	0.978144	−	0.207927i	$-0.0666715\pi$
$313$	8.45901	+	11.6428i	0.478131	+	0.658091i	−0.500013	+	0.866018i	$0.666671\pi$
$314$	−11.5376	−	18.3081i	−0.651107	−	1.03319i
$315$	24.2823	+	18.5354i	1.36815	+	1.04435i
$316$	0.627324	−	4.72524i	0.0352897	−	0.265815i
$317$	8.41477	−	25.8980i	0.472620	−	1.45458i	−0.376520	−	0.926408i	$-0.622879\pi$
$317$	8.41477	−	25.8980i	0.472620	−	1.45458i	0.849140	−	0.528167i	$-0.177121\pi$
$318$	11.5108	−	19.2830i	0.645494	−	1.08134i
$319$	−5.91568	−	1.92212i	−0.331215	−	0.107618i
$320$	13.3072	+	11.9548i	0.743896	+	0.668295i
$321$	−8.95431	+	1.40966i	−0.499781	+	0.0786793i
$322$	−0.959077	+	14.5116i	−0.0534472	+	0.808702i
$323$	−19.0171	+	26.1748i	−1.05814	+	1.45641i
$324$	−3.19484	−	17.7142i	−0.177491	−	0.984122i
$325$	15.4393	−	4.28257i	0.856418	−	0.237554i
$326$	−6.09938	+	15.2641i	−0.337814	+	0.845399i
$327$	−9.43242	−	9.45005i	−0.521614	−	0.522589i
$328$	2.51017	−	2.31278i	0.138601	−	0.127702i
$329$	21.2291	−	6.89776i	1.17040	−	0.380286i
$330$	4.84823	−	4.05617i	0.266887	−	0.223285i
$331$	−2.64321	−	0.858831i	−0.145284	−	0.0472056i	0.235472	−	0.971881i	$-0.424336\pi$
$331$	−2.64321	−	0.858831i	−0.145284	−	0.0472056i	−0.380756	+	0.924675i	$0.624336\pi$
$332$	23.4348	−	24.6413i	1.28615	−	1.35237i
$333$	−0.512946	−	0.374143i	−0.0281093	−	0.0205029i
$334$	10.2658	−	2.60125i	0.561722	−	0.142334i
$335$	2.31323	−	0.696269i	0.126385	−	0.0380412i
$336$	−21.1839	+	23.3804i	−1.15568	+	1.27551i
$337$	10.7862	+	14.8459i	0.587562	+	0.808710i	0.994499	−	0.104746i	$-0.0334031\pi$
$337$	10.7862	+	14.8459i	0.587562	+	0.808710i	−0.406937	+	0.913456i	$0.633403\pi$
$338$	0.948840	+	3.74461i	0.0516101	+	0.203680i
$339$	13.8924	+	13.9184i	0.754532	+	0.755942i
$340$	−4.12797	+	26.6316i	−0.223871	+	1.44430i
$341$	0.0511143	+	0.0703529i	0.00276800	+	0.00380982i
$342$	−19.2936	+	12.1084i	−1.04328	+	0.654748i
$343$	30.6819			1.65667
$344$	0.800858	+	6.86241i	0.0431793	+	0.369996i
$345$	1.17156	+	8.66728i	0.0630744	+	0.466630i
$346$	7.69455	+	0.508534i	0.413662	+	0.0273390i
$347$	−2.10309	+	0.683336i	−0.112900	+	0.0366834i	−0.364922	−	0.931038i	$-0.618904\pi$
$347$	−2.10309	+	0.683336i	−0.112900	+	0.0366834i	0.252022	+	0.967721i	$0.418904\pi$
$348$	18.6647	−	0.450983i	1.00053	−	0.0241752i
$349$	−26.3481			−1.41038			−0.705192	−	0.709016i	$-0.749139\pi$
$349$	−26.3481			−1.41038			−0.705192	+	0.709016i	$0.749139\pi$
$350$	−6.54188	−	31.5291i	−0.349678	−	1.68530i
$351$	7.60082	−	14.8147i	0.405702	−	0.790752i
$352$	3.75339	+	5.34171i	0.200056	+	0.284714i
$353$	−3.56495	−	10.9718i	−0.189743	−	0.583969i	0.810255	−	0.586078i	$-0.199329\pi$
$353$	−3.56495	−	10.9718i	−0.189743	−	0.583969i	−0.999998	+	0.00210880i	$0.999329\pi$
$354$	−2.69695	−	0.614449i	−0.143341	−	0.0326576i
$355$	15.2558	−	20.0634i	0.809692	−	1.06486i
$356$	−12.7503	−	23.5442i	−0.675762	−	1.24784i
$357$	−46.9390	−	7.47933i	−2.48427	−	0.395848i
$358$	−18.2982	−	15.2353i	−0.967091	−	0.805213i
$359$	−11.9179	+	8.65889i	−0.629005	+	0.456999i	−0.856055	−	0.516884i	$-0.827092\pi$
$359$	−11.9179	+	8.65889i	−0.629005	+	0.456999i	0.227050	+	0.973883i	$0.427092\pi$
$360$	−9.68660	+	16.3147i	−0.510529	+	0.859861i
$361$	7.94895	+	5.77525i	0.418366	+	0.303960i
$362$	2.17090	+	8.56750i	0.114100	+	0.450298i
$363$	−14.9275	+	7.58841i	−0.783492	+	0.398288i
$364$	−28.7022	+	5.28733i	−1.50441	+	0.277131i
$365$	6.43644	+	0.140275i	0.336899	+	0.00734232i
$366$	0.751650	+	8.31500i	0.0392894	+	0.434632i
$367$	−6.42746	+	19.7817i	−0.335511	+	1.03260i	0.630959	+	0.775816i	$0.282662\pi$
$367$	−6.42746	+	19.7817i	−0.335511	+	1.03260i	−0.966470	+	0.256780i	$0.917338\pi$
$368$	−9.02156	+	0.453103i	−0.470281	+	0.0236197i
$369$	2.92486	+	2.13339i	0.152262	+	0.111060i
$370$	0.150209	+	0.652168i	0.00780899	+	0.0339046i
$371$	−12.9016	−	39.7071i	−0.669819	−	2.06149i
$372$	−0.214814	−	0.148278i	−0.0111376	−	0.00768786i
$373$	11.2017	−	15.4178i	0.580001	−	0.798302i	−0.413695	−	0.910416i	$-0.635762\pi$
$373$	11.2017	−	15.4178i	0.580001	−	0.798302i	0.993695	+	0.112113i	$0.0357620\pi$
$374$	−3.64957	+	9.13327i	−0.188715	+	0.472270i
$375$	−7.62897	−	17.7988i	−0.393958	−	0.919128i
$376$	5.78377	+	12.6001i	0.298275	+	0.649798i
$377$	13.9723	+	10.1515i	0.719611	+	0.522828i
$378$	−28.7016	−	17.2059i	−1.47625	−	0.884978i
$379$	9.05537	−	2.94227i	0.465143	−	0.151134i	−0.0670635	−	0.997749i	$-0.521363\pi$
$379$	9.05537	−	2.94227i	0.465143	−	0.151134i	0.532207	+	0.846615i	$0.321363\pi$
$380$	23.7273	+	3.67779i	1.21718	+	0.188666i
$381$	−0.333491	+	0.653005i	−0.0170853	+	0.0334545i
$382$	5.69021	−	14.2401i	0.291136	−	0.728587i
$383$	−12.0107	−	3.90253i	−0.613720	−	0.199410i	−0.0143700	−	0.999897i	$-0.504574\pi$
$383$	−12.0107	−	3.90253i	−0.613720	−	0.199410i	−0.599350	+	0.800487i	$0.704574\pi$
$384$	−15.9490	−	11.3855i	−0.813894	−	0.581013i
$385$	0.256056	−	11.7490i	0.0130498	−	0.598785i
$386$	18.3529	+	29.1228i	0.934140	+	1.48231i
$387$	−6.97364	+	2.25149i	−0.354490	+	0.114449i
$388$	1.52728	−	11.5040i	0.0775359	−	0.584029i
$389$	7.55300	−	10.3958i	0.382952	−	0.527088i	−0.573411	−	0.819268i	$-0.694380\pi$
$389$	7.55300	−	10.3958i	0.382952	−	0.527088i	0.956364	+	0.292179i	$0.0943803\pi$
$390$	−16.2830	+	6.55127i	−0.824521	+	0.331736i
$391$	−7.99882	−	11.0094i	−0.404518	−	0.556771i
$392$	4.50398	+	38.5938i	0.227485	+	1.94928i
$393$	−21.0602	−	3.35576i	−1.06234	−	0.169276i
$394$	−10.8299	−	9.01713i	−0.545604	−	0.454276i
$395$	−4.24224	−	3.22570i	−0.213450	−	0.162303i
$396$	−4.78138	+	5.00879i	−0.240273	+	0.251701i
$397$	9.30295	−	3.02271i	0.466902	−	0.151706i	−0.0661120	−	0.997812i	$-0.521059\pi$
$397$	9.30295	−	3.02271i	0.466902	−	0.151706i	0.533014	+	0.846107i	$0.321059\pi$
$398$	5.30470	+	8.41760i	0.265901	+	0.421936i
$399$	−6.66365	+	41.8199i	−0.333600	+	2.09361i
$400$	18.9799	−	6.30577i	0.948996	−	0.315289i
$401$		−	10.9289i		−	0.545764i	−0.962047	−	0.272882i	$-0.912023\pi$
$401$		−	10.9289i		−	0.545764i	0.962047	−	0.272882i	$-0.0879769\pi$
$402$	−2.43295	+	1.04102i	−0.121345	+	0.0519214i
$403$	−0.0746137	−	0.229637i	−0.00371678	−	0.0114391i
$404$	24.4664	+	11.7026i	1.21725	+	0.582225i
$405$	−18.9747	−	6.70530i	−0.942860	−	0.333189i
$406$	22.2093	−	26.6742i	1.10223	−	1.32382i
$407$			0.244244i			0.0121067i
$408$	1.23474	−	29.4961i	0.0611285	−	1.46027i
$409$	−15.6144	+	11.3445i	−0.772084	+	0.560952i	−0.902593	−	0.430495i	$-0.858339\pi$
$409$	−15.6144	+	11.3445i	−0.772084	+	0.560952i	0.130509	+	0.991447i	$0.458339\pi$
$410$	−0.856502	−	3.71871i	−0.0422996	−	0.183654i
$411$	−13.1046	−	13.1290i	−0.646400	−	0.647608i
$412$	27.1976	+	3.61076i	1.33993	+	0.177889i
$413$	−4.16028	+	3.02262i	−0.204714	+	0.148734i
$414$	−2.33596	−	9.29174i	−0.114806	−	0.456664i
$415$	−10.9580	−	36.4061i	−0.537909	−	1.78710i
$416$	−5.32829	−	17.3263i	−0.261241	−	0.849492i
$417$	−30.6240	−	15.6397i	−1.49966	−	0.765881i
$418$	8.13722	+	3.25156i	0.398004	+	0.159039i
$419$	−1.63280	+	5.02524i	−0.0797675	+	0.245499i	−0.982986	−	0.183683i	$-0.941198\pi$
$419$	−1.63280	+	5.02524i	−0.0797675	+	0.245499i	0.903218	+	0.429182i	$0.141198\pi$
$420$	10.9796	+	33.5217i	0.535752	+	1.63569i
$421$	−4.09724	−	12.6100i	−0.199687	−	0.614574i	−0.999890	−	0.0148440i	$-0.995275\pi$
$421$	−4.09724	−	12.6100i	−0.199687	−	0.614574i	0.800203	−	0.599730i	$-0.204725\pi$
$422$	2.09251	−	31.6615i	0.101862	−	1.54126i
$423$	−11.9128	+	8.62122i	−0.579220	+	0.419178i
$424$	23.5673	−	10.8180i	1.14453	−	0.525369i
$425$	23.5815	+	18.7555i	1.14387	+	0.909777i
$426$	−14.1521	+	23.7077i	−0.685670	+	1.14864i
$427$	12.5571	+	9.12329i	0.607682	+	0.441507i
$428$	−9.44235	−	4.51640i	−0.456413	−	0.218308i
$429$	−6.32759	+	0.996138i	−0.305499	+	0.0480940i
$430$	7.10885	+	3.02188i	0.342819	+	0.145728i
$431$	−11.2029	+	34.4788i	−0.539622	+	1.66079i	0.193821	+	0.981037i	$0.437912\pi$
$431$	−11.2029	+	34.4788i	−0.539622	+	1.66079i	−0.733444	+	0.679750i	$0.762088\pi$
$432$	8.54828	−	18.9454i	0.411279	−	0.911509i
$433$	22.6507	+	7.35966i	1.08852	+	0.353683i	0.797676	−	0.603087i	$-0.206063\pi$
$433$	22.6507	+	7.35966i	1.08852	+	0.353683i	0.290848	+	0.956769i	$0.406063\pi$
$434$	−0.470397	+	0.119193i	−0.0225798	+	0.00572145i
$435$	9.89670	−	18.3786i	0.474510	−	0.881188i
$436$	−2.79311	−	15.1624i	−0.133765	−	0.726145i
$437$	−9.80876	+	7.12648i	−0.469217	+	0.340906i
$438$	−7.02380	+	0.634930i	−0.335610	+	0.0303381i
$439$	−8.78444	+	12.0907i	−0.419258	+	0.577060i	−0.965446	−	0.260603i	$-0.916079\pi$
$439$	−8.78444	+	12.0907i	−0.419258	+	0.577060i	0.546188	+	0.837663i	$0.316079\pi$
$440$	7.26664	−	0.687914i	0.346423	−	0.0327950i
$441$	−39.2193	+	12.6622i	−1.86759	+	0.602963i
$442$	17.4739	−	20.9868i	0.831149	−	0.998242i
$443$			6.20871i			0.294985i	0.989063	+	0.147492i	$0.0471202\pi$
$443$			6.20871i			0.294985i	−0.989063	+	0.147492i	$0.952880\pi$
$444$	−0.243322	−	0.691561i	−0.0115475	−	0.0328200i
$445$	−29.9282	−	0.652250i	−1.41873	−	0.0309196i
$446$	19.2080	+	1.26946i	0.909523	+	0.0601106i
$447$	36.6867	−	5.77549i	1.73522	−	0.273171i
$448$	−35.4518	+	8.38885i	−1.67494	+	0.396336i
$449$			27.6553i			1.30514i	0.757730	+	0.652568i	$0.226308\pi$
$449$			27.6553i			1.30514i	−0.757730	+	0.652568i	$0.773692\pi$
$450$	10.4829	+	18.4421i	0.494167	+	0.869367i
$451$		−	1.39270i		−	0.0655796i
$452$	4.11379	+	22.3317i	0.193496	+	1.05039i
$453$	30.9334	−	4.86977i	1.45338	−	0.228802i
$454$	0.233888	−	3.53892i	0.0109769	−	0.166090i
$455$	−10.7570	+	30.8059i	−0.504296	+	1.44420i
$456$	−26.2793	−	1.10008i	−1.23064	−	0.0515159i
$457$		−	28.3366i		−	1.32553i	−0.748827	−	0.662765i	$-0.769383\pi$
$457$		−	28.3366i		−	1.32553i	0.748827	−	0.662765i	$-0.230617\pi$
$458$	−3.73700	−	3.11147i	−0.174618	−	0.145389i
$459$	30.9408	−	4.81175i	1.44419	−	0.224593i
$460$	−4.55518	+	9.01347i	−0.212386	+	0.420255i
$461$	0.601146	−	0.827406i	0.0279981	−	0.0385361i	−0.794788	−	0.606887i	$-0.792418\pi$
$461$	0.601146	−	0.827406i	0.0279981	−	0.0385361i	0.822787	+	0.568350i	$0.192418\pi$
$462$	1.15899	+	12.8212i	0.0539213	+	0.596495i
$463$	−9.44774	+	6.86418i	−0.439074	+	0.319006i	−0.785267	−	0.619158i	$-0.787474\pi$
$463$	−9.44774	+	6.86418i	−0.439074	+	0.319006i	0.346193	+	0.938163i	$0.387474\pi$
$464$	18.0548	+	11.7809i	0.838175	+	0.546916i
$465$	−0.262965	+	0.126545i	−0.0121947	+	0.00586840i
$466$	−6.20935	−	24.5053i	−0.287643	−	1.13519i
$467$	−19.0994	−	6.20577i	−0.883814	−	0.287169i	−0.168274	−	0.985740i	$-0.553819\pi$
$467$	−19.0994	−	6.20577i	−0.883814	−	0.287169i	−0.715540	+	0.698572i	$0.753819\pi$
$468$	16.9238	−	9.12420i	0.782302	−	0.421766i
$469$	−1.52029	+	4.67898i	−0.0702006	+	0.216055i
$470$	15.4409	+	1.35896i	0.712234	+	0.0626843i
$471$	26.1815	−	4.12169i	1.20638	−	0.189917i
$472$	−2.16424	−	2.34894i	−0.0996171	−	0.108119i
$473$	2.28070	+	1.65702i	0.104867	+	0.0761900i
$474$	5.01279	+	2.99234i	0.230245	+	0.137443i
$475$	16.7101	−	21.0097i	0.766712	−	0.963993i
$476$	−39.7704	−	37.8231i	−1.82288	−	1.73362i
$477$	16.1252	+	22.2818i	0.738322	+	1.02021i
$478$	−8.96319	−	0.592379i	−0.409967	−	0.0270948i
$479$	−2.49441	−	7.67699i	−0.113972	−	0.350771i	0.877759	−	0.479102i	$-0.159038\pi$
$479$	−2.49441	−	7.67699i	−0.113972	−	0.350771i	−0.991731	+	0.128332i	$0.959038\pi$
$480$	−19.8897	+	9.18698i	−0.907836	+	0.419326i
$481$	0.209565	−	0.644975i	0.00955534	−	0.0294083i
$482$	2.91212	−	7.28775i	0.132643	−	0.331948i
$483$	−15.8629	−	8.10121i	−0.721786	−	0.368618i
$484$	−19.1680	−	2.54474i	−0.871271	−	0.115670i
$485$	−10.3281	−	7.85327i	−0.468977	−	0.356599i
$486$	21.4762	+	4.97737i	0.974179	+	0.225778i
$487$	10.3843	−	7.54461i	0.470556	−	0.341879i	−0.327102	−	0.944989i	$-0.606072\pi$
$487$	10.3843	−	7.54461i	0.470556	−	0.341879i	0.797658	+	0.603110i	$0.206072\pi$
$488$	−4.72427	+	8.40358i	−0.213858	+	0.380412i
$489$	−14.2221	−	14.2487i	−0.643145	−	0.644347i
$490$	39.9798	+	16.9949i	1.80610	+	0.767750i
$491$	−11.4129	+	8.29194i	−0.515056	+	0.374210i	−0.814738	−	0.579829i	$-0.803119\pi$
$491$	−11.4129	+	8.29194i	−0.515056	+	0.374210i	0.299682	+	0.954039i	$0.403119\pi$
$492$	1.38744	+	3.94333i	0.0625506	+	0.177779i
$493$			32.4785i			1.46276i
$494$	−18.6981	−	15.5682i	−0.841265	−	0.700448i
$495$	2.21753	+	7.41751i	0.0996707	+	0.333392i
$496$	−0.107399	−	0.281616i	−0.00482236	−	0.0126449i
$497$	15.8620	+	48.8183i	0.711510	+	2.18980i
$498$	16.3838	+	38.2903i	0.734177	+	1.71583i
$499$		−	25.9844i		−	1.16322i	−0.813467	−	0.581612i	$-0.802422\pi$
$499$		−	25.9844i		−	1.16322i	0.813467	−	0.581612i	$-0.197578\pi$
$500$	4.38450	−	21.9266i	0.196081	−	0.980588i
$501$	−2.04098	+	12.8088i	−0.0911841	+	0.572255i
$502$	−25.6778	+	16.1820i	−1.14606	+	0.722236i
$503$	21.4768	−	6.97823i	0.957603	−	0.311144i	0.211802	−	0.977313i	$-0.432067\pi$
$503$	21.4768	−	6.97823i	0.957603	−	0.311144i	0.745801	+	0.666169i	$0.232067\pi$
$504$	−16.0544	−	35.1477i	−0.715119	−	1.56560i
$505$	24.9138	−	17.2843i	1.10865	−	0.769139i
$506$	−2.35835	+	2.83247i	−0.104841	+	0.125918i
$507$	−4.67219	−	0.744474i	−0.207499	−	0.0330632i
$508$	−0.744503	+	0.403183i	−0.0330320	+	0.0178884i
$509$	2.31919	+	3.19210i	0.102796	+	0.141487i	0.857316	−	0.514790i	$-0.172130\pi$
$509$	2.31919	+	3.19210i	0.102796	+	0.141487i	−0.754520	+	0.656277i	$0.772130\pi$
$510$	−27.9657	−	17.5314i	−1.23834	−	0.776303i
$511$	−7.70658	+	10.6072i	−0.340919	+	0.469235i
$512$	−7.72763	−	21.2670i	−0.341516	−	0.939876i
$513$	−4.28699	−	27.5664i	−0.189275	−	1.21709i
$514$	26.1864	−	16.5025i	1.15503	−	0.727894i
$515$	18.5665	−	24.4175i	0.818139	−	1.07597i
$516$	−8.10841	−	2.41967i	−0.356953	−	0.106520i
$517$	5.38014	+	1.74811i	0.236618	+	0.0768820i
$518$	−1.26564	−	0.505737i	−0.0556090	−	0.0222208i
$519$	−4.29553	+	8.41103i	−0.188553	+	0.369203i
$520$	−19.7792	−	4.41831i	−0.867376	−	0.193756i
$521$	−33.9549	+	11.0326i	−1.48759	+	0.483347i	−0.936371	−	0.351013i	$-0.885837\pi$
$521$	−33.9549	+	11.0326i	−1.48759	+	0.483347i	−0.551220	+	0.834360i	$0.685837\pi$
$522$	−8.52443	+	21.2178i	−0.373104	+	0.928680i
$523$	10.4118	+	7.56462i	0.455276	+	0.330778i	0.791675	−	0.610942i	$-0.209209\pi$
$523$	10.4118	+	7.56462i	0.455276	+	0.330778i	−0.336399	+	0.941720i	$0.609209\pi$
$524$	−17.8439	−	16.9701i	−0.779512	−	0.741344i
$525$	38.6389	+	7.89662i	1.68634	+	0.344637i
$526$	6.26001	+	2.50144i	0.272949	+	0.109068i
$527$	0.266895	−	0.367350i	0.0116261	−	0.0160020i
$528$	−7.82620	+	1.63808i	−0.340591	+	0.0712882i
$529$	5.53152	+	17.0243i	0.240501	+	0.740186i
$530$	2.54182	−	28.8807i	0.110409	−	1.25450i
$531$	1.99637	−	2.73700i	0.0866349	−	0.118776i
$532$	−33.6982	+	35.4332i	−1.46100	+	1.53622i
$533$	−1.19496	+	3.67770i	−0.0517593	+	0.159299i
$534$	32.6593	−	2.95230i	1.41331	−	0.127758i
$535$	−9.61502	+	6.67055i	−0.415694	+	0.288393i
$536$	−2.99601	−	0.601031i	−0.129408	−	0.0259606i
$537$	25.9957	−	13.2149i	1.12180	−	0.570266i
$538$	−3.93642	+	0.997441i	−0.169711	+	0.0430028i
$539$	12.8265	+	9.31900i	0.552477	+	0.401398i
$540$	−13.6683	−	18.7930i	−0.588190	−	0.808723i
$541$	−33.1119	+	24.0572i	−1.42359	+	1.03430i	−0.432426	+	0.901669i	$0.642342\pi$
$541$	−33.1119	+	24.0572i	−1.42359	+	1.03430i	−0.991166	+	0.132630i	$0.957658\pi$
$542$	10.6775	−	12.8241i	0.458637	−	0.550841i
$543$	−10.6898	−	1.70332i	−0.458742	−	0.0730966i
$544$	20.4705	−	27.2583i	0.877666	−	1.16869i
$545$	−16.2737	−	5.68254i	−0.697087	−	0.243413i
$546$	7.94021	−	34.8513i	0.339810	−	1.49150i
$547$	8.18767	+	25.1990i	0.350079	+	1.07743i	0.958808	+	0.284055i	$0.0916798\pi$
$547$	8.18767	+	25.1990i	0.350079	+	1.07743i	−0.608729	+	0.793379i	$0.708320\pi$
$548$	−3.88049	−	21.0652i	−0.165766	−	0.899861i
$549$	−9.71890	−	3.17794i	−0.414792	−	0.135631i
$550$	3.35540	−	7.43894i	0.143075	−	0.317197i
$551$	28.9365			1.23274
$552$	3.85573	−	10.3694i	0.164111	−	0.441350i
$553$	10.3222	−	3.35389i	0.438945	−	0.142622i
$554$	0.646395	−	9.78049i	0.0274627	−	0.415533i
$555$	−0.806437	−	0.146583i	−0.0342314	−	0.00622212i
$556$	−18.9081	−	34.9150i	−0.801882	−	1.48073i
$557$	−15.4657			−0.655302			−0.327651	−	0.944799i	$-0.606257\pi$
$557$	−15.4657			−0.655302			−0.327651	+	0.944799i	$0.606257\pi$
$558$	0.270775	−	0.169935i	0.0114628	−	0.00719392i
$559$	−4.60088	−	6.33257i	−0.194596	−	0.267839i
$560$	−11.4818	+	39.0791i	−0.485194	+	1.65139i
$561$	−8.50979	−	8.52570i	−0.359284	−	0.359955i
$562$	5.36319	−	1.35897i	0.226232	−	0.0573247i
$563$	16.4502	+	22.6417i	0.693292	+	0.954234i	0.999997	+	0.00242961i	$0.000773371\pi$
$563$	16.4502	+	22.6417i	0.693292	+	0.954234i	−0.306705	+	0.951805i	$0.599227\pi$
$564$	−16.9750	+	0.410156i	−0.714778	+	0.0172707i
$565$	23.9684	+	8.36944i	1.00836	+	0.352105i
$566$	2.55994	+	10.1028i	0.107602	+	0.424653i
$567$	33.2470	−	23.9662i	1.39624	−	1.00649i
$568$	−28.9750	+	13.3003i	−1.21576	+	0.558069i
$569$	−22.6458	−	7.35808i	−0.949363	−	0.308467i	−0.206906	−	0.978361i	$-0.566340\pi$
$569$	−22.6458	−	7.35808i	−0.949363	−	0.308467i	−0.742457	+	0.669894i	$0.766340\pi$
$570$	−15.6194	+	24.9158i	−0.654227	+	1.04361i
$571$	29.0824	−	9.44945i	1.21706	−	0.395447i	0.371050	−	0.928613i	$-0.378998\pi$
$571$	29.0824	−	9.44945i	1.21706	−	0.395447i	0.846011	+	0.533166i	$0.178998\pi$
$572$	−6.67246	−	3.19152i	−0.278990	−	0.133444i
$573$	13.2680	+	13.2928i	0.554279	+	0.555314i
$574$	7.21677	+	2.88375i	0.301222	+	0.120366i
$575$	6.23250	+	9.41521i	0.259913	+	0.392642i
$576$	20.5275	−	12.4348i	0.855311	−	0.518115i
$577$	25.2046	−	34.6912i	1.04928	−	1.44421i	0.159852	−	0.987141i	$-0.448898\pi$
$577$	25.2046	−	34.6912i	1.04928	−	1.44421i	0.889430	−	0.457072i	$-0.151102\pi$
$578$	27.2550	+	1.80129i	1.13366	+	0.0749237i
$579$	−41.6469	+	6.55637i	−1.73078	+	0.272473i
$580$	21.4398	−	11.0134i	0.890238	−	0.457307i
$581$	73.6388	+	23.9267i	3.05505	+	0.992646i
$582$	12.2041	+	7.28512i	0.505877	+	0.301978i
$583$	3.26969	−	10.0631i	0.135417	−	0.416770i
$584$	−7.09863	−	3.99067i	−0.293743	−	0.165135i
$585$	0.508496	−	21.4901i	0.0210237	−	0.888505i
$586$	−26.2325	+	16.5315i	−1.08365	+	0.682910i
$587$	−9.39272	−	12.9280i	−0.387679	−	0.533594i	0.569920	−	0.821701i	$-0.306974\pi$
$587$	−9.39272	−	12.9280i	−0.387679	−	0.533594i	−0.957598	+	0.288106i	$0.906974\pi$
$588$	−45.6012	−	13.6081i	−1.88056	−	0.561187i
$589$	−0.327287	−	0.237788i	−0.0134856	−	0.00979789i
$590$	−3.47986	+	0.801491i	−0.143264	+	0.0329968i
$591$	15.3857	−	7.82133i	0.632884	−	0.321727i
$592$	0.220879	−	0.817208i	0.00907806	−	0.0335870i
$593$	−1.86554			−0.0766087			−0.0383043	−	0.999266i	$-0.512196\pi$
$593$	−1.86554			−0.0766087			−0.0383043	+	0.999266i	$0.512196\pi$
$594$	−3.32167	−	7.80325i	−0.136290	−	0.320171i
$595$	−58.7584	+	17.6860i	−2.40886	+	0.725054i
$596$	38.6862	+	18.5041i	1.58465	+	0.757957i
$597$	−12.0375	+	1.89504i	−0.492664	+	0.0775589i
$598$	8.65798	−	5.45619i	0.354051	−	0.223120i
$599$	−12.1592			−0.496810			−0.248405	−	0.968656i	$-0.579906\pi$
$599$	−12.1592			−0.496810			−0.248405	+	0.968656i	$0.579906\pi$
$600$	−2.08975	+	24.4056i	−0.0853136	+	0.996354i
$601$	30.5857			1.24762			0.623808	−	0.781578i	$-0.285585\pi$
$601$	30.5857			1.24762			0.623808	+	0.781578i	$0.285585\pi$
$602$	−13.3089	+	8.38718i	−0.542431	+	0.341836i
$603$	0.00605140	−	3.24105i	0.000246432	−	0.131986i
$604$	32.6193	+	15.6022i	1.32726	+	0.634847i
$605$	−13.0851	+	17.2087i	−0.531984	+	0.699632i
$606$	−25.0058	+	21.8642i	−1.01579	+	0.888171i
$607$	−12.9025			−0.523695			−0.261847	−	0.965109i	$-0.584332\pi$
$607$	−12.9025			−0.523695			−0.261847	+	0.965109i	$0.584332\pi$
$608$	−24.2855	−	18.2380i	−0.984909	−	0.739651i
$609$	19.2640	+	37.8952i	0.780618	+	1.53559i
$610$	5.54649	+	9.24176i	0.224571	+	0.374188i
$611$	−12.7074	−	9.23249i	−0.514087	−	0.373506i
$612$	32.5884	+	15.6623i	1.31731	+	0.633111i
$613$	20.3377	+	27.9925i	0.821433	+	1.13061i	0.989458	+	0.144823i	$0.0462612\pi$
$613$	20.3377	+	27.9925i	0.821433	+	1.13061i	−0.168024	+	0.985783i	$0.553739\pi$
$614$	−0.454644	+	0.286513i	−0.0183480	+	0.0115627i
$615$	4.59837	+	0.835830i	0.185424	+	0.0337039i
$616$	−7.28452	+	12.9578i	−0.293502	+	0.522083i
$617$	9.29501	−	28.6071i	0.374203	−	1.15168i	−0.569812	−	0.821775i	$-0.692984\pi$
$617$	9.29501	−	28.6071i	0.374203	−	1.15168i	0.944015	−	0.329903i	$-0.107016\pi$
$618$	−17.2233	+	28.8527i	−0.692823	+	1.16062i
$619$	−20.3775	−	6.62106i	−0.819042	−	0.266123i	−0.130620	−	0.991433i	$-0.541697\pi$
$619$	−20.3775	−	6.62106i	−0.819042	−	0.266123i	−0.688423	+	0.725310i	$0.741697\pi$
$620$	−0.332999	−	0.0516157i	−0.0133736	−	0.00207294i
$621$	11.5845	+	1.86807i	0.464869	+	0.0749632i
$622$	−5.42156	−	0.358312i	−0.217385	−	0.0143670i
$623$	35.8340	−	49.3213i	1.43566	−	1.97602i
$624$	22.0721	+	2.38932i	0.883592	+	0.0956494i
$625$	−18.8695	−	16.3995i	−0.754778	−	0.655980i
$626$	−18.8994	−	7.55202i	−0.755372	−	0.301840i
$627$	−7.59590	+	7.58173i	−0.303351	+	0.302785i
$628$	27.6084	+	13.2055i	1.10170	+	0.526955i
$629$	1.21291	−	0.394098i	0.0483618	−	0.0157137i
$630$	−43.0281	−	3.86792i	−1.71428	−	0.154101i
$631$	31.0018	+	10.0731i	1.23416	+	0.401004i	0.852220	−	0.523183i	$-0.175255\pi$
$631$	31.0018	+	10.0731i	1.23416	+	0.401004i	0.381942	+	0.924186i	$0.375255\pi$
$632$	2.81224	+	6.12651i	0.111865	+	0.243700i
$633$	34.6096	+	17.6752i	1.37561	+	0.702526i
$634$	9.45907	+	37.3303i	0.375668	+	1.48258i
$635$	−0.0206252	+	0.946376i	−0.000818485	+	0.0375558i
$636$	0.767160	+	31.7503i	0.0304199	+	1.25898i
$637$	−25.8751	−	35.6140i	−1.02521	−	1.41108i
$638$	8.52709	−	2.16066i	0.337591	−	0.0855415i
$639$	−19.8253	−	27.3946i	−0.784276	−	1.08371i
$640$	−24.9353	−	4.26981i	−0.985654	−	0.168779i
$641$	−13.2734	−	18.2693i	−0.524267	−	0.721592i	0.461976	−	0.886893i	$-0.347141\pi$
$641$	−13.2734	−	18.2693i	−0.524267	−	0.721592i	−0.986243	+	0.165300i	$0.947141\pi$
$642$	9.65052	−	8.43808i	0.380876	−	0.333024i
$643$	11.9673			0.471945			0.235973	−	0.971760i	$-0.424172\pi$
$643$	11.9673			0.471945			0.235973	+	0.971760i	$0.424172\pi$
$644$	−9.79419	−	18.0856i	−0.385945	−	0.712672i
$645$	−6.83987	+	6.53587i	−0.269320	+	0.257349i
$646$	3.01739	−	45.6557i	0.118718	−	1.79630i
$647$	26.9297	−	8.74998i	1.05871	−	0.343997i	0.272632	−	0.962119i	$-0.412106\pi$
$647$	26.9297	−	8.74998i	1.05871	−	0.343997i	0.786083	+	0.618121i	$0.212106\pi$
$648$	17.1789	+	18.7853i	0.674850	+	0.737955i
$649$	−1.30325			−0.0511570
$650$	−15.2433	+	16.7650i	−0.597892	+	0.657578i
$651$	0.0935206	−	0.586919i	0.00366536	−	0.0230032i
$652$	−4.21141	−	22.8616i	−0.164931	−	0.895330i
$653$	−0.0910631	−	0.280263i	−0.00356358	−	0.0109676i	0.949259	−	0.314496i	$-0.101835\pi$
$653$	−0.0910631	−	0.280263i	−0.00356358	−	0.0109676i	−0.952822	+	0.303528i	$0.901835\pi$
$654$	18.4107	+	4.19453i	0.719915	+	0.164019i
$655$	−26.3632	+	7.93518i	−1.03010	+	0.310053i
$656$	−1.25947	+	4.65978i	−0.0491739	+	0.181934i
$657$	2.68445	−	8.20970i	0.104730	−	0.320291i
$658$	−20.1987	+	24.2595i	−0.787428	+	0.945732i
$659$	7.82367	−	5.68423i	0.304767	−	0.221426i	−0.424881	−	0.905249i	$-0.639684\pi$
$659$	7.82367	−	5.68423i	0.304767	−	0.221426i	0.729648	+	0.683823i	$0.239684\pi$
$660$	−2.74234	+	8.50855i	−0.106746	+	0.331195i
$661$	23.2128	+	16.8651i	0.902875	+	0.655977i	0.939203	−	0.343363i	$-0.111566\pi$
$661$	23.2128	+	16.8651i	0.902875	+	0.655977i	−0.0363279	+	0.999340i	$0.511566\pi$
$662$	3.81002	−	0.965415i	0.148081	−	0.0375219i
$663$	15.1566	+	29.8153i	0.588634	+	1.15793i
$664$	−9.45916	+	47.1518i	−0.367087	+	1.82985i
$665$	15.7572	+	52.3504i	0.611037	+	2.03006i
$666$	0.895816	+	0.0608848i	0.0347122	+	0.00235924i
$667$	−3.76105	+	11.5753i	−0.145628	+	0.448198i
$668$	−10.3213	+	10.8526i	−0.399341	+	0.419901i
$669$	−10.7230	+	20.9965i	−0.414574	+	0.811772i
$670$	−2.24268	+	2.57721i	−0.0866423	+	0.0995663i
$671$	1.21556	+	3.74111i	0.0469262	+	0.144424i
$672$	7.71681	−	43.9461i	0.297682	−	1.69526i
$673$	−12.1353	+	16.7028i	−0.467781	+	0.643845i	−0.976100	−	0.217324i	$-0.930267\pi$
$673$	−12.1353	+	16.7028i	−0.467781	+	0.643845i	0.508319	+	0.861169i	$0.330267\pi$
$674$	−24.0989	−	9.62970i	−0.928255	−	0.370922i
$675$	−25.8217	+	2.87015i	−0.993879	+	0.110472i
$676$	−3.95865	−	3.76482i	−0.152256	−	0.144801i
$677$	−37.4298	−	27.1944i	−1.43854	−	1.04516i	−0.988344	−	0.152237i	$-0.951352\pi$
$677$	−37.4298	−	27.1944i	−1.43854	−	1.04516i	−0.450201	−	0.892927i	$-0.648648\pi$
$678$	−27.1159	−	6.17785i	−1.04138	−	0.237259i
$679$	25.1304	−	8.16537i	0.964417	−	0.313358i
$680$	−15.1412	−	34.9759i	−0.580638	−	1.34126i
$681$	3.86845	+	1.97562i	0.148239	+	0.0757061i
$682$	−0.114201	−	0.0456338i	−0.00437300	−	0.00174741i
$683$	−11.5373	−	3.74871i	−0.441464	−	0.143440i	0.0798468	−	0.996807i	$-0.474557\pi$
$683$	−11.5373	−	3.74871i	−0.441464	−	0.143440i	−0.521311	+	0.853367i	$0.674557\pi$
$684$	13.9542	−	29.0344i	0.533552	−	1.11016i
$685$	−22.6092	−	7.89480i	−0.863851	−	0.301645i
$686$	−36.7094	+	23.1340i	−1.40157	+	0.883258i
$687$	5.30903	−	2.69885i	0.202552	−	0.102967i
$688$	−6.13240	−	7.60669i	−0.233796	−	0.290002i
$689$	−17.2685	+	23.7681i	−0.657878	+	0.905492i
$690$	−7.93678	−	9.48662i	−0.302148	−	0.361149i
$691$	20.4701	+	28.1747i	0.778719	+	1.07181i	0.995422	+	0.0955767i	$0.0304695\pi$
$691$	20.4701	+	28.1747i	0.778719	+	1.07181i	−0.216703	+	0.976237i	$0.569530\pi$
$692$	−9.58958	+	5.19321i	−0.364541	+	0.197416i
$693$	−14.9859	−	4.90017i	−0.569267	−	0.186142i
$694$	2.00101	−	2.40330i	0.0759575	−	0.0912279i
$695$	−44.3822	−	0.967259i	−1.68351	−	0.0366902i
$696$	−21.9914	+	14.6127i	−0.833581	+	0.553892i
$697$	−6.91610	+	2.24718i	−0.261966	+	0.0851179i
$698$	31.5243	−	19.8663i	1.19321	−	0.751952i
$699$	30.5755	+	4.87195i	1.15647	+	0.184274i
$700$	31.5998	+	32.7904i	1.19436	+	1.23936i
$701$			17.8486i			0.674132i	0.941481	+	0.337066i	$0.109435\pi$
$701$			17.8486i			0.674132i	−0.941481	+	0.337066i	$0.890565\pi$
$702$	2.07621	+	23.4561i	0.0783615	+	0.885292i
$703$	−0.351119	−	1.08063i	−0.0132427	−	0.0407568i
$704$	−8.51836	−	3.56106i	−0.321048	−	0.134213i
$705$	−9.00077	+	16.7149i	−0.338989	+	0.629518i
$706$	12.5379	+	10.4392i	0.471872	+	0.392886i
$707$			61.7527i			2.32245i
$708$	3.69006	−	1.29833i	0.138681	−	0.0487941i
$709$	−30.9332	+	22.4743i	−1.16172	+	0.844040i	−0.989995	−	0.141104i	$-0.954935\pi$
$709$	−30.9332	+	22.4743i	−1.16172	+	0.844040i	−0.171727	+	0.985145i	$0.554935\pi$
$710$	−3.12506	+	35.5077i	−0.117281	+	1.33258i
$711$	−5.79235	+	4.19188i	−0.217230	+	0.157208i
$712$	33.0072	+	18.5558i	1.23700	+	0.695408i
$713$	0.137661	−	0.100016i	0.00515543	−	0.00374564i
$714$	61.7995	−	26.4430i	2.31279	−	0.989606i
$715$	−6.79448	+	4.71376i	−0.254099	+	0.176285i
$716$	33.3803	+	4.43157i	1.24748	+	0.165616i
$717$	5.00376	−	9.79781i	0.186869	−	0.365906i
$718$	7.73048	−	19.3460i	0.288499	−	0.721986i
$719$	−1.50211	+	4.62303i	−0.0560193	+	0.172410i	−0.975151	−	0.221540i	$-0.928892\pi$
$719$	−1.50211	+	4.62303i	−0.0560193	+	0.172410i	0.919132	+	0.393950i	$0.128892\pi$
$720$	−0.711653	−	26.8234i	−0.0265217	−	0.999648i
$721$	19.3044	+	59.4127i	0.718932	+	2.21264i
$722$	−13.8650	−	0.916342i	−0.516003	−	0.0341027i
$723$	6.79025	+	6.80294i	0.252532	+	0.253004i
$724$	−9.05722	−	8.61374i	−0.336609	−	0.320127i
$725$	1.17405	−	26.9225i	0.0436030	−	0.999876i
$726$	12.1384	−	20.3344i	0.450499	−	0.754681i
$727$	−1.78083	−	1.29385i	−0.0660473	−	0.0479862i	0.554272	−	0.832336i	$-0.312997\pi$
$727$	−1.78083	−	1.29385i	−0.0660473	−	0.0479862i	−0.620319	+	0.784350i	$0.712997\pi$
$728$	30.3542	−	27.9673i	1.12500	−	1.03654i
$729$	−15.9923	+	21.7542i	−0.592308	+	0.805712i
$730$	−7.80665	+	4.68521i	−0.288937	+	0.173407i
$731$	4.54873	−	13.9995i	0.168241	−	0.517792i
$732$	−7.16877	−	9.38174i	−0.264965	−	0.346759i
$733$	−42.2944	−	13.7423i	−1.56218	−	0.507583i	−0.604791	−	0.796385i	$-0.706743\pi$
$733$	−42.2944	−	13.7423i	−1.56218	−	0.507583i	−0.957389	+	0.288802i	$0.906743\pi$
$734$	−7.22513	−	28.5141i	−0.266685	−	1.05247i
$735$	−38.4670	+	36.7573i	−1.41888	+	1.35581i
$736$	10.4522	−	7.34431i	0.385274	−	0.270715i
$737$	−1.00870	+	0.732867i	−0.0371561	+	0.0269955i
$738$	−5.10801	−	0.347170i	−0.188029	−	0.0127795i
$739$	−13.3663	+	18.3971i	−0.491687	+	0.676749i	−0.980698	−	0.195529i	$-0.937358\pi$
$739$	−13.3663	+	18.3971i	−0.491687	+	0.676749i	0.489011	+	0.872277i	$0.337358\pi$
$740$	−0.671448	−	0.667030i	−0.0246829	−	0.0245205i
$741$	26.5637	−	13.5037i	0.975843	−	0.496070i
$742$	45.3751	+	37.7799i	1.66577	+	1.38694i
$743$		−	14.3493i		−	0.526426i	−0.964738	−	0.263213i	$-0.915218\pi$
$743$		−	14.3493i		−	0.526426i	0.964738	−	0.263213i	$-0.0847822\pi$
$744$	0.368815	+	0.0154390i	0.0135214	+	0.000566021i
$745$	39.3936	−	27.3299i	1.44327	−	1.00129i
$746$	−1.77734	+	26.8926i	−0.0650729	+	0.984608i
$747$	−51.0084	−	0.0952383i	−1.86630	−	0.00348459i
$748$	−2.51990	−	13.6793i	−0.0921367	−	0.500163i
$749$		−	23.8323i		−	0.870815i
$750$	22.5479	+	15.5432i	0.823333	+	0.567559i
$751$		−	4.38787i		−	0.160116i	−0.996790	−	0.0800579i	$-0.974489\pi$
$751$		−	4.38787i		−	0.160116i	0.996790	−	0.0800579i	$-0.0255105\pi$
$752$	−16.4204	−	10.7144i	−0.598789	−	0.390714i
$753$	−5.78081	−	36.7204i	−0.210664	−	1.33817i
$754$	−24.3713	−	1.61071i	−0.887552	−	0.0586585i
$755$	33.2158	−	23.0439i	1.20885	−	0.838655i
$756$	47.3133	−	1.05481i	1.72077	−	0.0383631i
$757$		−	21.8399i		−	0.793785i	−0.917865	−	0.396893i	$-0.870089\pi$
$757$		−	21.8399i		−	0.793785i	0.917865	−	0.396893i	$-0.129911\pi$
$758$	−8.61585	+	10.3480i	−0.312942	+	0.375855i
$759$	−2.04560	−	4.02399i	−0.0742505	−	0.146062i
$760$	−31.1615	+	13.4899i	−1.13035	+	0.489331i
$761$	15.0826	−	20.7594i	0.546743	−	0.752528i	−0.442822	−	0.896609i	$-0.646023\pi$
$761$	15.0826	−	20.7594i	0.546743	−	0.752528i	0.989566	+	0.144082i	$0.0460228\pi$
$762$	−0.0933563	−	1.03274i	−0.00338194	−	0.0374122i
$763$	28.4001	−	20.6339i	1.02815	−	0.746997i
$764$	3.92889	+	21.3279i	0.142142	+	0.771618i
$765$	33.2570	−	22.9807i	1.20241	−	0.830867i
$766$	17.3127	−	4.38684i	0.625535	−	0.158503i
$767$	3.44148	+	1.11821i	0.124265	+	0.0403761i
$768$	27.6668	+	1.59672i	0.998339	+	0.0576166i
$769$	9.02327	−	27.7708i	0.325387	−	1.00144i	−0.645878	−	0.763441i	$-0.723509\pi$
$769$	9.02327	−	27.7708i	0.325387	−	1.00144i	0.971265	−	0.237999i	$-0.0764914\pi$
$770$	8.55233	+	14.2502i	0.308204	+	0.513541i
$771$	5.89532	+	37.4478i	0.212315	+	1.34865i
$772$	−43.9167	−	21.0059i	−1.58060	−	0.756020i
$773$	11.7098	+	8.50765i	0.421171	+	0.305999i	0.778109	−	0.628129i	$-0.216179\pi$
$773$	11.7098	+	8.50765i	0.421171	+	0.305999i	−0.356938	+	0.934128i	$0.616179\pi$
$774$	6.64600	−	7.95187i	0.238886	−	0.285824i
$775$	−0.234517	+	0.294860i	−0.00842410	+	0.0105917i
$776$	6.84666	+	14.9156i	0.245781	+	0.535438i
$777$	1.18144	−	1.17924i	0.0423841	−	0.0423050i
$778$	−1.19841	+	18.1330i	−0.0429652	+	0.650099i
$779$	2.00210	+	6.16184i	0.0717328	+	0.220771i
$780$	14.5422	−	20.1155i	0.520693	−	0.720251i
$781$	−4.01995	+	12.3721i	−0.143845	+	0.442710i
$782$	17.8712	+	7.14118i	0.639074	+	0.255368i
$783$	−19.7472	−	19.8581i	−0.705706	−	0.709670i
$784$	−34.4883	−	42.7796i	−1.23172	−	1.52784i
$785$	28.1133	−	19.5040i	1.00341	−	0.696127i
$786$	27.7277	−	11.8642i	0.989013	−	0.423183i
$787$	−25.1325	+	18.2598i	−0.895877	+	0.650893i	−0.937404	−	0.348244i	$-0.886778\pi$
$787$	−25.1325	+	18.2598i	−0.895877	+	0.650893i	0.0415265	+	0.999137i	$0.486778\pi$
$788$	19.7563	+	2.62286i	0.703790	+	0.0934353i
$789$	−5.84357	+	5.83267i	−0.208037	+	0.207649i
$790$	7.50779	+	0.660767i	0.267115	+	0.0235090i
$791$	−41.8287	+	30.3903i	−1.48726	+	1.08056i
$792$	1.94409	−	9.59789i	0.0690802	−	0.341046i
$793$		−	10.9221i		−	0.387856i
$794$	−8.85141	+	10.6309i	−0.314125	+	0.377276i
$795$	31.2636	+	16.8351i	1.10881	+	0.597080i
$796$	−12.6936	−	6.07152i	−0.449914	−	0.215199i
$797$	7.78601	+	23.9629i	0.275795	+	0.848808i	0.989008	+	0.147861i	$0.0472390\pi$
$797$	7.78601	+	23.9629i	0.275795	+	0.848808i	−0.713214	+	0.700947i	$0.752761\pi$
$798$	−23.5592	−	55.0598i	−0.833987	−	1.94910i
$799$		−	29.5383i		−	1.04499i
$800$	−17.9540	+	21.8553i	−0.634770	+	0.772701i
$801$	−12.4822	+	38.1735i	−0.441035	+	1.34879i
$802$	8.24034	+	13.0759i	0.290977	+	0.461727i
$803$	−3.16017	+	1.02680i	−0.111520	+	0.0362351i
$804$	2.12598	−	3.07996i	0.0749776	−	0.108622i
$805$	−22.9895	−	0.501030i	−0.810273	−	0.0176590i
$806$	0.262417	+	0.218492i	0.00924324	+	0.00769604i
$807$	0.782607	−	4.91151i	0.0275491	−	0.172893i
$808$	−38.0964	+	4.44594i	−1.34023	+	0.156407i
$809$	−25.5567	−	35.1757i	−0.898524	−	1.23671i	−0.970936	−	0.239338i	$-0.923070\pi$
$809$	−25.5567	−	35.1757i	−0.898524	−	1.23671i	0.0724122	−	0.997375i	$-0.476930\pi$
$810$	27.7580	−	6.28424i	0.975318	−	0.220806i
$811$	−0.159608	+	0.219681i	−0.00560459	+	0.00771406i	−0.811810	−	0.583922i	$-0.801518\pi$
$811$	−0.159608	+	0.219681i	−0.00560459	+	0.00771406i	0.806206	+	0.591636i	$0.201518\pi$
$812$	−6.46012	+	48.6601i	−0.226706	+	1.70763i
$813$	9.26149	+	18.2187i	0.324815	+	0.638959i
$814$	−0.184159	−	0.292226i	−0.00645475	−	0.0102425i
$815$	−24.5372	−	8.56806i	−0.859501	−	0.300126i
$816$	20.7625	+	36.2215i	0.726834	+	1.26801i
$817$	−12.4728	−	4.05265i	−0.436367	−	0.141784i
$818$	10.1282	−	25.3464i	0.354123	−	0.886215i
$819$	35.3688	+	25.7980i	1.23589	+	0.901455i
$820$	3.82865	+	3.80345i	0.133702	+	0.132822i
$821$	7.68906	−	2.49833i	0.268350	−	0.0871922i	−0.171751	−	0.985140i	$-0.554943\pi$
$821$	7.68906	−	2.49833i	0.268350	−	0.0871922i	0.440101	+	0.897948i	$0.354943\pi$
$822$	25.5782	+	5.82750i	0.892141	+	0.203257i
$823$	−20.5487	−	14.9295i	−0.716282	−	0.520409i	0.168912	−	0.985631i	$-0.445975\pi$
$823$	−20.5487	−	14.9295i	−0.716282	−	0.520409i	−0.885194	+	0.465222i	$0.845975\pi$
$824$	−35.2630	+	16.1867i	−1.22845	+	0.563891i
$825$	6.74585	+	7.37484i	0.234860	+	0.256759i
$826$	2.69853	−	6.75325i	0.0938940	−	0.234975i
$827$	22.1457	−	30.4809i	0.770081	−	1.05993i	−0.226227	−	0.974075i	$-0.572639\pi$
$827$	22.1457	−	30.4809i	0.770081	−	1.05993i	0.996308	−	0.0858514i	$-0.0273610\pi$
$828$	9.80077	+	9.35580i	0.340600	+	0.325137i
$829$	−9.77676	−	30.0898i	−0.339561	−	1.04506i	−0.964431	−	0.264333i	$-0.914848\pi$
$829$	−9.77676	−	30.0898i	−0.339561	−	1.04506i	0.624870	−	0.780728i	$-0.285152\pi$
$830$	40.5607	+	35.2958i	1.40788	+	1.22513i
$831$	10.6912	+	5.46002i	0.370874	+	0.189406i
$832$	19.4390	+	16.7126i	0.673925	+	0.579404i
$833$	25.5818	−	78.7326i	0.886356	−	2.72792i
$834$	48.4323	−	4.37813i	1.67707	−	0.151602i
$835$	4.82618	+	16.0341i	0.167017	+	0.554884i
$836$	−12.1874	+	2.24508i	−0.421511	+	0.0776479i
$837$	0.0601655	+	0.386880i	0.00207962	+	0.0133725i
$838$	−1.83544	−	7.24357i	−0.0634041	−	0.250225i
$839$	−26.6248	−	19.3440i	−0.919190	−	0.667831i	0.0241323	−	0.999709i	$-0.492318\pi$
$839$	−26.6248	−	19.3440i	−0.919190	−	0.667831i	−0.943322	+	0.331878i	$0.892318\pi$
$840$	−38.4117	−	31.8284i	−1.32533	−	1.09818i
$841$	0.0387881	−	0.0281812i	0.00133752	−	0.000971765i
$842$	14.4100	+	11.9979i	0.496601	+	0.413476i
$843$	−1.06627	+	6.69171i	−0.0367242	+	0.230475i
$844$	21.3690	+	39.4591i	0.735550	+	1.35824i
$845$	−5.84867	+	1.76042i	−0.201200	+	0.0605602i
$846$	7.75273	−	19.2970i	0.266544	−	0.663446i
$847$	−13.6051	−	41.8721i	−0.467476	−	1.43874i
$848$	−20.0403	+	30.7128i	−0.688188	+	1.05468i
$849$	−12.6054	−	2.00856i	−0.432616	−	0.0689338i
$850$	−42.3556	−	4.65978i	−1.45279	−	0.159829i
$851$	0.477917			0.0163828
$852$	−0.943192	−	39.0357i	−0.0323132	−	1.33734i
$853$	−10.2394	+	3.32697i	−0.350589	+	0.113913i	−0.479017	−	0.877806i	$-0.659007\pi$
$853$	−10.2394	+	3.32697i	−0.350589	+	0.113913i	0.128428	+	0.991719i	$0.459007\pi$
$854$	−21.9029	−	1.44757i	−0.749501	−	0.0495347i
$855$	−20.4744	−	29.6301i	−0.700211	−	1.01333i
$856$	14.7026	−	1.71583i	0.502526	−	0.0586458i
$857$	−28.6004			−0.976973			−0.488486	−	0.872572i	$-0.662451\pi$
$857$	−28.6004			−0.976973			−0.488486	+	0.872572i	$0.662451\pi$
$858$	6.81957	−	5.96279i	0.232816	−	0.203566i
$859$	9.02753	+	12.4253i	0.308015	+	0.423947i	0.934761	−	0.355277i	$-0.115613\pi$
$859$	9.02753	+	12.4253i	0.308015	+	0.423947i	−0.626746	+	0.779224i	$0.715613\pi$
$860$	−10.7839	+	1.74450i	−0.367727	+	0.0594871i
$861$	−6.73668	+	6.72412i	−0.229585	+	0.229157i
$862$	−12.5932	−	49.6991i	−0.428925	−	1.69276i
$863$	−25.4428	−	35.0191i	−0.866085	−	1.19206i	−0.980084	−	0.198582i	$-0.936366\pi$
$863$	−25.4428	−	35.0191i	−0.866085	−	1.19206i	0.114000	−	0.993481i	$-0.463634\pi$
$864$	4.05709	+	29.1125i	0.138025	+	0.990429i
$865$	−0.265663	+	12.1898i	−0.00903280	+	0.414466i
$866$	−32.6496	+	8.27302i	−1.10948	+	0.281129i
$867$	−15.2153	+	29.7929i	−0.516738	+	1.01182i
$868$	0.472936	−	0.497285i	0.0160525	−	0.0168789i
$869$	2.61598	+	0.849984i	0.0887411	+	0.0288337i
$870$	2.01647	+	29.4512i	0.0683647	+	0.998489i
$871$	3.29250	−	1.06980i	0.111562	−	0.0362487i
$872$	14.7741	+	16.0350i	0.500315	+	0.543015i
$873$	−14.1020	+	10.2055i	−0.477281	+	0.345405i
$874$	6.36238	−	15.9222i	0.215211	−	0.538578i
$875$	49.3461	−	12.5364i	1.66820	−	0.423809i
$876$	7.92490	−	6.05557i	0.267758	−	0.204599i
$877$	−4.39436	+	6.04832i	−0.148387	+	0.204237i	−0.876740	−	0.480965i	$-0.840286\pi$
$877$	−4.39436	+	6.04832i	−0.148387	+	0.204237i	0.728353	+	0.685203i	$0.240286\pi$
$878$	1.39380	−	21.0894i	0.0470385	−	0.711732i
$879$	−5.90568	−	37.5136i	−0.199194	−	1.26530i
$880$	−8.17549	+	6.30205i	−0.275596	+	0.212442i
$881$	−3.81569	−	1.23979i	−0.128554	−	0.0417697i	0.244034	−	0.969767i	$-0.421529\pi$
$881$	−3.81569	−	1.23979i	−0.128554	−	0.0417697i	−0.372587	+	0.927997i	$0.621529\pi$
$882$	37.3767	−	44.7208i	1.25854	−	1.50583i
$883$	−13.8378	+	42.5882i	−0.465678	+	1.43321i	0.392450	+	0.919773i	$0.371627\pi$
$883$	−13.8378	+	42.5882i	−0.465678	+	1.43321i	−0.858128	+	0.513436i	$0.828373\pi$
$884$	−5.08272	+	38.2849i	−0.170950	+	1.28766i
$885$	0.782146	−	4.30302i	0.0262915	−	0.144645i
$886$	−4.68133	−	7.42841i	−0.157272	−	0.249562i
$887$	28.1666	+	38.7680i	0.945742	+	1.30170i	0.953393	+	0.301732i	$0.0975647\pi$
$887$	28.1666	+	38.7680i	0.945742	+	1.30170i	−0.00765069	+	0.999971i	$0.502435\pi$
$888$	0.812555	+	0.643955i	0.0272676	+	0.0216097i
$889$	−1.55962	−	1.13313i	−0.0523079	−	0.0380039i
$890$	36.2994	−	21.7853i	1.21676	−	0.730244i
$891$	10.3868	+	0.0387866i	0.347970	+	0.00129940i
$892$	−23.9385	+	12.9638i	−0.801521	+	0.434061i
$893$	−26.3169			−0.880662
$894$	−39.5391	+	34.5716i	−1.32238	+	1.15625i
$895$	22.7872	−	29.9683i	0.761691	−	1.00173i
$896$	36.0912	−	36.7673i	1.20572	−	1.22831i
$897$	1.94916	+	12.3813i	0.0650805	+	0.413400i
$898$	−20.8520	−	33.0882i	−0.695839	−	1.10417i
$899$	−0.406108			−0.0135444
$900$	−26.4474	−	14.1610i	−0.881581	−	0.472033i
$901$	−55.2487			−1.84060
$902$	1.05009	+	1.66629i	0.0349640	+	0.0554815i
$903$	−2.99622	−	19.0324i	−0.0997079	−	0.633357i
$904$	−21.7599	−	23.6170i	−0.723723	−	0.785488i
$905$	−13.3815	+	4.02775i	−0.444816	+	0.133887i
$906$	−33.3385	+	29.1500i	−1.10760	+	0.968444i
$907$	−7.31197			−0.242790			−0.121395	−	0.992604i	$-0.538737\pi$
$907$	−7.31197			−0.242790			−0.121395	+	0.992604i	$0.538737\pi$
$908$	2.38849	+	4.41049i	0.0792648	+	0.146367i
$909$	−12.4991	−	38.7139i	−0.414567	−	1.28406i
$910$	−10.3572	−	44.9684i	−0.343339	−	1.49069i
$911$	15.8410	+	11.5091i	0.524835	+	0.381315i	0.818422	−	0.574617i	$-0.194849\pi$
$911$	15.8410	+	11.5091i	0.524835	+	0.381315i	−0.293587	+	0.955932i	$0.594849\pi$
$912$	32.2713	−	18.4982i	1.06861	−	0.612537i
$913$	11.5340	+	15.8752i	0.381720	+	0.525393i
$914$	21.3656	+	33.9034i	0.706712	+	1.12142i
$915$	−13.0818	+	1.76827i	−0.432471	+	0.0584571i
$916$	6.81716	+	0.905048i	0.225245	+	0.0299036i
$917$	17.3263	−	53.3250i	0.572166	−	1.76095i
$918$	−33.3911	+	29.0862i	−1.10207	+	0.959987i
$919$	44.7287	+	14.5332i	1.47546	+	0.479407i	0.932754	−	0.360514i	$-0.117399\pi$
$919$	44.7287	+	14.5332i	1.47546	+	0.479407i	0.542709	+	0.839921i	$0.317399\pi$
$920$	−1.34605	−	14.2187i	−0.0443780	−	0.468778i
$921$	−0.102353	−	0.650162i	−0.00337266	−	0.0214236i
$922$	−0.0953821	+	1.44321i	−0.00314124	+	0.0475296i
$923$	21.2309	−	29.2219i	0.698825	−	0.961850i
$924$	−11.0538	−	14.4660i	−0.363642	−	0.475898i
$925$	−1.01967	+	0.282836i	−0.0335264	+	0.00929958i
$926$	6.12820	−	15.3362i	0.201385	−	0.503978i
$927$	−24.1277	−	33.3396i	−0.792457	−	1.09502i
$928$	−30.4845	−	0.482057i	−1.00070	−	0.0158243i
$929$	−15.3700	+	4.99400i	−0.504272	+	0.163848i	−0.550096	−	0.835102i	$-0.685409\pi$
$929$	−15.3700	+	4.99400i	−0.504272	+	0.163848i	0.0458237	+	0.998950i	$0.485409\pi$
$930$	0.219210	−	0.349679i	0.00718819	−	0.0114664i
$931$	−70.1462	−	22.7919i	−2.29895	−	0.746974i
$932$	25.9060	+	24.6375i	0.848579	+	0.807029i
$933$	3.02662	−	5.92639i	0.0990871	−	0.194021i
$934$	27.5306	−	6.97592i	0.900828	−	0.228259i
$935$	−14.6819	−	5.12670i	−0.480148	−	0.167661i
$936$	−13.3689	+	23.6771i	−0.436975	+	0.773909i
$937$	−0.383594	−	0.527972i	−0.0125315	−	0.0172481i	0.802705	−	0.596376i	$-0.203393\pi$
$937$	−0.383594	−	0.527972i	−0.0125315	−	0.0172481i	−0.815237	+	0.579128i	$0.803393\pi$
$938$	−1.70897	−	6.74446i	−0.0557997	−	0.220214i
$939$	17.6421	−	17.6092i	0.575730	−	0.574656i
$940$	−19.4989	+	10.0164i	−0.635983	+	0.326698i
$941$	−8.76419	−	12.0629i	−0.285704	−	0.393238i	0.641909	−	0.766781i	$-0.278143\pi$
$941$	−8.76419	−	12.0629i	−0.285704	−	0.393238i	−0.927613	+	0.373543i	$0.878143\pi$
$942$	−28.2171	+	24.6721i	−0.919363	+	0.803859i
$943$	−2.72512			−0.0887420
$944$	4.36049	+	1.17857i	0.141922	+	0.0383593i
$945$	25.1730	−	46.5391i	0.818879	−	1.51392i
$946$	−3.97812	−	0.262915i	−0.129340	−	0.00854811i
$947$	1.30062	−	0.422597i	0.0422645	−	0.0137326i	−0.287808	−	0.957688i	$-0.592927\pi$
$947$	1.30062	−	0.422597i	0.0422645	−	0.0137326i	0.330073	+	0.943955i	$0.392927\pi$
$948$	−8.25375	+	0.199430i	−0.268069	+	0.00647718i
$949$	9.22608			0.299491
$950$	−4.15160	+	37.7364i	−0.134696	+	1.22433i
$951$	−46.5775	−	7.42173i	−1.51038	−	0.240666i
$952$	76.1017	+	15.2668i	2.46647	+	0.494801i
$953$	7.92839	+	24.4011i	0.256826	+	0.790429i	0.993464	+	0.114142i	$0.0364119\pi$
$953$	7.92839	+	24.4011i	0.256826	+	0.790429i	−0.736639	+	0.676287i	$0.763588\pi$
$954$	−36.0933	−	14.5008i	−1.16856	−	0.469480i
$955$	22.8911	+	7.99327i	0.740740	+	0.258656i
$956$	11.1707	−	6.04944i	0.361285	−	0.195653i
$957$	−1.69529	+	10.6393i	−0.0548009	+	0.343921i
$958$	8.77283	+	7.30437i	0.283437	+	0.235994i
$959$	39.4565	−	28.6669i	1.27412	−	0.925701i
$960$	16.8701	−	25.9885i	0.544480	−	0.838774i
$961$	−25.0749	−	18.2180i	−0.808869	−	0.587678i
$962$	0.235573	+	0.929691i	0.00759517	+	0.0299744i
$963$	4.82378	+	14.9409i	0.155444	+	0.481465i
$964$	2.01071	+	10.9151i	0.0647607	+	0.351553i
$965$	−44.7198	+	31.0250i	−1.43958	+	0.998729i
$966$	25.0874	−	2.26782i	0.807175	−	0.0729661i
$967$	5.10473	−	15.7107i	0.164157	−	0.505223i	−0.834816	−	0.550529i	$-0.814426\pi$
$967$	5.10473	−	15.7107i	0.164157	−	0.505223i	0.998973	+	0.0453055i	$0.0144261\pi$
$968$	24.8522	−	11.4079i	0.798781	−	0.366662i
$969$	49.9070	+	25.4876i	1.60324	+	0.818779i
$970$	18.2784	+	1.60870i	0.586885	+	0.0516522i
$971$	−5.16636	−	15.9004i	−0.165796	−	0.510269i	0.833298	−	0.552824i	$-0.186450\pi$
$971$	−5.16636	−	15.9004i	−0.165796	−	0.510269i	−0.999094	+	0.0425558i	$0.986450\pi$
$972$	−29.4481	+	10.2377i	−0.944547	+	0.328375i
$973$	53.1404	−	73.1414i	1.70360	−	2.34481i
$974$	−6.73567	+	16.8564i	−0.215825	+	0.540115i
$975$	−11.4860	−	25.2628i	−0.367847	−	0.809056i
$976$	−0.683884	−	13.6165i	−0.0218906	−	0.435855i
$977$	28.3594	+	20.6043i	0.907296	+	0.659189i	0.940330	−	0.340265i	$-0.110517\pi$
$977$	28.3594	+	20.6043i	0.907296	+	0.659189i	−0.0330334	+	0.999454i	$0.510517\pi$
$978$	27.7594	+	6.32445i	0.887648	+	0.202234i
$979$	14.6942	−	4.77443i	0.469628	−	0.152591i
$980$	−60.6478	+	9.81099i	−1.93732	+	0.313401i
$981$	−13.6282	+	18.6841i	−0.435114	+	0.596537i
$982$	7.40287	−	18.5261i	0.236235	−	0.591193i
$983$	28.6048	+	9.29426i	0.912352	+	0.296441i	0.727326	−	0.686293i	$-0.240763\pi$
$983$	28.6048	+	9.29426i	0.912352	+	0.296441i	0.185026	+	0.982734i	$0.440763\pi$
$984$	−4.63325	−	3.67188i	−0.147703	−	0.117055i
$985$	13.4867	−	17.7369i	0.429723	−	0.565145i
$986$	−24.4886	−	38.8589i	−0.779876	−	1.23752i
$987$	−17.5201	−	34.4646i	−0.557671	−	1.09702i
$988$	34.1096	+	4.52841i	1.08517	+	0.144068i
$989$	3.24232	−	4.46268i	0.103100	−	0.141905i
$990$	−8.24592	−	7.20267i	−0.262073	−	0.228916i
$991$	−13.4281	−	18.4822i	−0.426557	−	0.587106i	0.540602	−	0.841279i	$-0.318197\pi$
$991$	−13.4281	−	18.4822i	−0.426557	−	0.587106i	−0.967159	+	0.254173i	$0.918197\pi$
$992$	0.340834	+	0.255961i	0.0108215	+	0.00812677i
$993$	−0.757479	+	4.75381i	−0.0240379	+	0.150857i
$994$	−55.7868	−	46.4488i	−1.76945	−	1.47327i
$995$	−12.9257	+	8.96741i	−0.409774	+	0.284286i
$996$	−48.4731	−	33.4592i	−1.53593	−	1.06019i
$997$	−21.1254	+	6.86405i	−0.669047	+	0.217387i	−0.623794	−	0.781589i	$-0.714410\pi$
$997$	−21.1254	+	6.86405i	−0.669047	+	0.217387i	−0.0452535	+	0.998976i	$0.514410\pi$
$998$	19.5921	+	31.0891i	0.620177	+	0.984108i
$999$	−0.501985	+	0.978418i	−0.0158821	+	0.0309558i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.r.a.59.11	✓	224
3.2	odd	2	inner	300.2.r.a.59.46	yes	224
4.3	odd	2	inner	300.2.r.a.59.33	yes	224
12.11	even	2	inner	300.2.r.a.59.24	yes	224
25.14	even	10	inner	300.2.r.a.239.24	yes	224
75.14	odd	10	inner	300.2.r.a.239.33	yes	224
100.39	odd	10	inner	300.2.r.a.239.46	yes	224
300.239	even	10	inner	300.2.r.a.239.11	yes	224

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.r.a.59.11	✓	224	1.1	even	1	trivial
300.2.r.a.59.24	yes	224	12.11	even	2	inner
300.2.r.a.59.33	yes	224	4.3	odd	2	inner
300.2.r.a.59.46	yes	224	3.2	odd	2	inner
300.2.r.a.239.11	yes	224	300.239	even	10	inner
300.2.r.a.239.24	yes	224	25.14	even	10	inner
300.2.r.a.239.33	yes	224	75.14	odd	10	inner
300.2.r.a.239.46	yes	224	100.39	odd	10	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)

\(f(q)\)	\(=\)	\(q+(-1.19645 + 0.753994i) q^{2} +(-0.269355 - 1.71098i) q^{3} +(0.862987 - 1.80423i) q^{4} +(-1.27460 - 1.83722i) q^{5} +(1.61234 + 1.84401i) q^{6} +4.55385 q^{7} +(0.327858 + 2.80936i) q^{8} +(-2.85490 + 0.921722i) q^{9} +O(q^{10})\)	\(q+(-1.19645 + 0.753994i) q^{2} +(-0.269355 - 1.71098i) q^{3} +(0.862987 - 1.80423i) q^{4} +(-1.27460 - 1.83722i) q^{5} +(1.61234 + 1.84401i) q^{6} +4.55385 q^{7} +(0.327858 + 2.80936i) q^{8} +(-2.85490 + 0.921722i) q^{9} +(2.91025 + 1.23711i) q^{10} +(0.933681 + 0.678359i) q^{11} +(-3.31945 - 0.990573i) q^{12} +(-1.88353 - 2.59245i) q^{13} +(-5.44846 + 3.43358i) q^{14} +(-2.80013 + 2.67568i) q^{15} +(-2.51051 - 3.11406i) q^{16} +(1.86218 - 5.73119i) q^{17} +(2.72077 - 3.25537i) q^{18} +(-5.10616 - 1.65909i) q^{19} +(-4.41474 + 0.714172i) q^{20} +(-1.22660 - 7.79154i) q^{21} +(-1.62858 - 0.107633i) q^{22} +(1.32736 - 1.82695i) q^{23} +(4.71845 - 1.31767i) q^{24} +(-1.75079 + 4.68345i) q^{25} +(4.20824 + 1.68157i) q^{26} +(2.34603 + 4.63639i) q^{27} +(3.92992 - 8.21621i) q^{28} +(-5.12583 + 1.66548i) q^{29} +(1.33277 - 5.31260i) q^{30} +(0.0716621 + 0.0232844i) q^{31} +(5.35168 + 1.83291i) q^{32} +(0.909165 - 1.78023i) q^{33} +(2.09328 + 8.26115i) q^{34} +(-5.80434 - 8.36645i) q^{35} +(-0.800737 + 5.94633i) q^{36} +(0.124395 + 0.171215i) q^{37} +(7.36021 - 1.86499i) q^{38} +(-3.92829 + 3.92096i) q^{39} +(4.74354 - 4.18316i) q^{40} +(-0.709308 - 0.976279i) q^{41} +(7.34235 + 8.39734i) q^{42} +2.44269 q^{43} +(2.02967 - 1.09916i) q^{44} +(5.33226 + 4.07026i) q^{45} +(-0.210608 + 3.18667i) q^{46} +(4.66180 - 1.51471i) q^{47} +(-4.65187 + 5.13421i) q^{48} +13.7376 q^{49} +(-1.43656 - 6.92360i) q^{50} +(-10.3075 - 1.64242i) q^{51} +(-6.30284 + 1.16107i) q^{52} +(-2.83313 - 8.71946i) q^{53} +(-6.30272 - 3.77833i) q^{54} +(0.0562285 - 2.58002i) q^{55} +(1.49302 + 12.7934i) q^{56} +(-1.46330 + 9.18341i) q^{57} +(4.87704 - 5.85751i) q^{58} +(-0.913575 + 0.663751i) q^{59} +(2.41107 + 7.36117i) q^{60} +(2.75747 + 2.00342i) q^{61} +(-0.103296 + 0.0261741i) q^{62} +(-13.0008 + 4.19739i) q^{63} +(-7.78502 + 1.84214i) q^{64} +(-2.36218 + 6.76480i) q^{65} +(0.254509 + 2.81546i) q^{66} +(-0.333847 + 1.02748i) q^{67} +(-8.73336 - 8.30574i) q^{68} +(-3.48340 - 1.77898i) q^{69} +(13.2529 + 5.63361i) q^{70} +(3.48321 + 10.7202i) q^{71} +(-3.52545 - 7.71824i) q^{72} +(-1.69232 + 2.32928i) q^{73} +(-0.277927 - 0.111057i) q^{74} +(8.48487 + 1.73405i) q^{75} +(-7.39994 + 7.78092i) q^{76} +(4.25184 + 3.08915i) q^{77} +(1.74362 - 7.65315i) q^{78} +(2.26670 - 0.736495i) q^{79} +(-2.52133 + 8.58154i) q^{80} +(7.30086 - 5.26284i) q^{81} +(1.58476 + 0.633256i) q^{82} +(16.1707 + 5.25416i) q^{83} +(-15.1163 - 4.51092i) q^{84} +(-12.9030 + 3.88374i) q^{85} +(-2.92256 + 1.84178i) q^{86} +(4.23027 + 8.32158i) q^{87} +(-1.59964 + 2.84545i) q^{88} +(7.86895 - 10.8307i) q^{89} +(-9.44873 - 0.849372i) q^{90} +(-8.57730 - 11.8056i) q^{91} +(-2.15075 - 3.97149i) q^{92} +(0.0205366 - 0.128884i) q^{93} +(-4.43553 + 5.32724i) q^{94} +(3.46018 + 11.4958i) q^{95} +(1.69457 - 9.65031i) q^{96} +(5.51850 - 1.79307i) q^{97} +(-16.4363 + 10.3580i) q^{98} +(-3.29082 - 1.07605i) 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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