LMFDB - Embedded newform 273.2.cd.e.44.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(44,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 4, 9]))

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

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

chi := DirichletCharacter("273.44");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.cd (of order $12$, 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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$28$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			44.14
Character	$\chi$	$=$	273.44
Dual form			273.2.cd.e.242.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.246180 + 0.0659636i) q^{2} +(-0.753906 + 1.55937i) q^{3} +(-1.67580 + 0.967522i) q^{4} +(-2.71744 + 0.728135i) q^{5} +(0.0827348 - 0.433615i) q^{6} +(1.41179 - 2.23760i) q^{7} +(0.709158 - 0.709158i) q^{8} +(-1.86325 - 2.35123i) q^{9} +O(q^{10})$	\(q+(-0.246180 + 0.0659636i) q^{2} +(-0.753906 + 1.55937i) q^{3} +(-1.67580 + 0.967522i) q^{4} +(-2.71744 + 0.728135i) q^{5} +(0.0827348 - 0.433615i) q^{6} +(1.41179 - 2.23760i) q^{7} +(0.709158 - 0.709158i) q^{8} +(-1.86325 - 2.35123i) q^{9} +(0.620947 - 0.358504i) q^{10} +(3.10321 + 0.831504i) q^{11} +(-0.245328 - 3.34260i) q^{12} +(-3.47296 + 0.968803i) q^{13} +(-0.199953 + 0.643978i) q^{14} +(0.913262 - 4.78643i) q^{15} +(1.80724 - 3.13024i) q^{16} +(-3.96062 - 6.86000i) q^{17} +(0.613790 + 0.455919i) q^{18} +(-0.0189720 - 0.0708044i) q^{19} +(3.84939 - 3.84939i) q^{20} +(2.42488 + 3.88844i) q^{21} -0.818797 q^{22} +(-1.44544 + 2.50358i) q^{23} +(0.571199 + 1.64048i) q^{24} +(2.52416 - 1.45732i) q^{25} +(0.791065 - 0.467588i) q^{26} +(5.07115 - 1.13288i) q^{27} +(-0.200944 + 5.11570i) q^{28} +0.0351243i q^{29} +(0.0909036 + 1.23856i) q^{30} +(-8.23449 - 2.20642i) q^{31} +(-0.757564 + 2.82727i) q^{32} +(-3.63615 + 4.21217i) q^{33} +(1.42753 + 1.42753i) q^{34} +(-2.20717 + 7.10851i) q^{35} +(5.39730 + 2.13745i) q^{36} +(-8.86476 + 2.37531i) q^{37} +(0.00934103 + 0.0161791i) q^{38} +(1.10756 - 6.14600i) q^{39} +(-1.41073 + 2.44345i) q^{40} +(1.39282 + 1.39282i) q^{41} +(-0.853452 - 0.797300i) q^{42} +0.378909i q^{43} +(-6.00486 + 1.60900i) q^{44} +(6.77528 + 5.03263i) q^{45} +(0.190693 - 0.711676i) q^{46} +(0.516348 + 1.92704i) q^{47} +(3.51870 + 5.17806i) q^{48} +(-3.01371 - 6.31804i) q^{49} +(-0.525266 + 0.525266i) q^{50} +(13.6832 - 1.00427i) q^{51} +(4.88263 - 4.98368i) q^{52} +(5.88649 - 3.39856i) q^{53} +(-1.17368 + 0.613405i) q^{54} -9.03824 q^{55} +(-0.585631 - 2.58799i) q^{56} +(0.124713 + 0.0237956i) q^{57} +(-0.00231692 - 0.00864688i) q^{58} +(-8.27883 - 2.21831i) q^{59} +(3.10053 + 8.90469i) q^{60} +(-4.83406 + 8.37284i) q^{61} +2.17271 q^{62} +(-7.89163 + 0.849768i) q^{63} +6.48298i q^{64} +(8.73212 - 5.16144i) q^{65} +(0.617296 - 1.27681i) q^{66} +(-4.85879 - 1.30191i) q^{67} +(13.2744 + 7.66398i) q^{68} +(-2.81427 - 4.14143i) q^{69} +(0.0744576 - 1.89556i) q^{70} +(-1.74479 - 1.74479i) q^{71} +(-2.98873 - 0.346056i) q^{72} +(2.08150 - 7.76825i) q^{73} +(2.02564 - 1.16950i) q^{74} +(0.369524 + 5.03477i) q^{75} +(0.100298 + 0.100298i) q^{76} +(6.24166 - 5.76984i) q^{77} +(0.132753 + 1.58608i) q^{78} +(3.79033 - 6.56505i) q^{79} +(-2.63183 + 9.82214i) q^{80} +(-2.05659 + 8.76187i) q^{81} +(-0.434759 - 0.251008i) q^{82} +(-3.46542 - 3.46542i) q^{83} +(-7.82576 - 4.17010i) q^{84} +(15.7578 + 15.7578i) q^{85} +(-0.0249942 - 0.0932797i) q^{86} +(-0.0547716 - 0.0264804i) q^{87} +(2.79034 - 1.61100i) q^{88} +(3.92087 + 14.6329i) q^{89} +(-1.99991 - 0.792008i) q^{90} +(-2.73529 + 9.13883i) q^{91} -5.59398i q^{92} +(9.64866 - 11.1772i) q^{93} +(-0.254229 - 0.440337i) q^{94} +(0.103110 + 0.178592i) q^{95} +(-3.83762 - 3.31281i) q^{96} +(0.107635 - 0.107635i) q^{97} +(1.15867 + 1.35658i) q^{98} +(-3.82701 - 8.84568i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) $ 112 * q - 12 * q^3 - 8 * q^6 - 4 * q^7 + 8 * q^9	$ 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9} - 48 q^{13} - 12 q^{15} + 40 q^{16} - 26 q^{18} + 40 q^{19} - 10 q^{21} + 16 q^{22} + 32 q^{24} - 24 q^{27} - 52 q^{28} - 12 q^{31} - 44 q^{33} + 16 q^{34} - 8 q^{37} - 42 q^{39} - 160 q^{40} - 80 q^{42} + 6 q^{45} + 32 q^{46} + 72 q^{48} - 12 q^{52} + 34 q^{54} - 48 q^{55} - 24 q^{57} - 28 q^{58} + 44 q^{60} + 78 q^{63} + 4 q^{66} + 24 q^{67} - 12 q^{70} - 26 q^{72} - 40 q^{73} + 112 q^{76} + 32 q^{78} + 48 q^{79} + 128 q^{81} - 150 q^{84} + 160 q^{85} - 48 q^{87} + 24 q^{91} + 10 q^{93} - 8 q^{94} - 106 q^{96} + 56 q^{97} - 36 q^{99}+O(q^{100}) $ 112 * q - 12 * q^3 - 8 * q^6 - 4 * q^7 + 8 * q^9 - 48 * q^13 - 12 * q^15 + 40 * q^16 - 26 * q^18 + 40 * q^19 - 10 * q^21 + 16 * q^22 + 32 * q^24 - 24 * q^27 - 52 * q^28 - 12 * q^31 - 44 * q^33 + 16 * q^34 - 8 * q^37 - 42 * q^39 - 160 * q^40 - 80 * q^42 + 6 * q^45 + 32 * q^46 + 72 * q^48 - 12 * q^52 + 34 * q^54 - 48 * q^55 - 24 * q^57 - 28 * q^58 + 44 * q^60 + 78 * q^63 + 4 * q^66 + 24 * q^67 - 12 * q^70 - 26 * q^72 - 40 * q^73 + 112 * q^76 + 32 * q^78 + 48 * q^79 + 128 * q^81 - 150 * q^84 + 160 * q^85 - 48 * q^87 + 24 * q^91 + 10 * q^93 - 8 * q^94 - 106 * q^96 + 56 * q^97 - 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$-1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−0.246180	+	0.0659636i	−0.174075	+	0.0466433i	−0.344804	−	0.938675i	$-0.612055\pi$
$2$	−0.246180	+	0.0659636i	−0.174075	+	0.0466433i	0.170729	+	0.985318i	$0.445388\pi$
$3$	−0.753906	+	1.55937i	−0.435268	+	0.900301i
$3$	−0.753906	+	1.55937i	−0.435268	+	0.900301i
$4$	−1.67580	+	0.967522i	−0.837899	+	0.483761i
$5$	−2.71744	+	0.728135i	−1.21527	+	0.325632i	−0.808830	−	0.588043i	$-0.799899\pi$
$5$	−2.71744	+	0.728135i	−1.21527	+	0.325632i	−0.406445	+	0.913675i	$0.633232\pi$
$6$	0.0827348	−	0.433615i	0.0337763	−	0.177022i
$7$	1.41179	−	2.23760i	0.533606	−	0.845733i
$7$	1.41179	−	2.23760i	0.533606	−	0.845733i
$8$	0.709158	−	0.709158i	0.250725	−	0.250725i
$9$	−1.86325	−	2.35123i	−0.621084	−	0.783744i
$10$	0.620947	−	0.358504i	0.196361	−	0.113369i
$11$	3.10321	+	0.831504i	0.935654	+	0.250708i	0.694264	−	0.719720i	$-0.255730\pi$
$11$	3.10321	+	0.831504i	0.935654	+	0.250708i	0.241390	+	0.970428i	$0.422397\pi$
$12$	−0.245328	−	3.34260i	−0.0708202	−	0.964927i
$13$	−3.47296	+	0.968803i	−0.963225	+	0.268698i
$13$	−3.47296	+	0.968803i	−0.963225	+	0.268698i
$14$	−0.199953	+	0.643978i	−0.0534398	+	0.172110i
$15$	0.913262	−	4.78643i	0.235803	−	1.23585i
$16$	1.80724	−	3.13024i	0.451811	−	0.782559i
$17$	−3.96062	−	6.86000i	−0.960592	−	1.66379i	−0.721018	−	0.692916i	$-0.756326\pi$
$17$	−3.96062	−	6.86000i	−0.960592	−	1.66379i	−0.239574	−	0.970878i	$-0.577008\pi$
$18$	0.613790	+	0.455919i	0.144672	+	0.107461i
$19$	−0.0189720	−	0.0708044i	−0.00435247	−	0.0162437i	0.963715	−	0.266932i	$-0.0860098\pi$
$19$	−0.0189720	−	0.0708044i	−0.00435247	−	0.0162437i	−0.968068	+	0.250688i	$0.919343\pi$
$20$	3.84939	−	3.84939i	0.860749	−	0.860749i
$21$	2.42488	+	3.88844i	0.529153	+	0.848526i
$22$	−0.818797			−0.174568
$23$	−1.44544	+	2.50358i	−0.301395	+	0.522032i	−0.976452	−	0.215734i	$-0.930786\pi$
$23$	−1.44544	+	2.50358i	−0.301395	+	0.522032i	0.675057	+	0.737766i	$0.264119\pi$
$24$	0.571199	+	1.64048i	0.116596	+	0.334861i
$25$	2.52416	−	1.45732i	0.504832	−	0.291465i
$26$	0.791065	−	0.467588i	0.155141	−	0.0917016i
$27$	5.07115	−	1.13288i	0.975943	−	0.218024i
$28$	−0.200944	+	5.11570i	−0.0379749	+	0.966777i
$29$			0.0351243i			0.00652242i	0.999995	+	0.00326121i	$0.00103808\pi$
$29$			0.0351243i			0.00652242i	−0.999995	+	0.00326121i	$0.998962\pi$
$30$	0.0909036	+	1.23856i	0.0165966	+	0.226130i
$31$	−8.23449	−	2.20642i	−1.47896	−	0.396286i	−0.572966	−	0.819579i	$-0.694207\pi$
$31$	−8.23449	−	2.20642i	−1.47896	−	0.396286i	−0.905992	+	0.423294i	$0.860874\pi$
$32$	−0.757564	+	2.82727i	−0.133920	+	0.499795i
$33$	−3.63615	+	4.21217i	−0.632973	+	0.733245i
$34$	1.42753	+	1.42753i	0.244820	+	0.244820i
$35$	−2.20717	+	7.10851i	−0.373080	+	1.20156i
$36$	5.39730	+	2.13745i	0.899550	+	0.356242i
$37$	−8.86476	+	2.37531i	−1.45736	+	0.390498i	−0.898576	−	0.438817i	$-0.855398\pi$
$37$	−8.86476	+	2.37531i	−1.45736	+	0.390498i	−0.558781	+	0.829315i	$0.688731\pi$
$38$	0.00934103	+	0.0161791i	0.00151532	+	0.00262460i
$39$	1.10756	−	6.14600i	0.177352	−	0.984147i
$40$	−1.41073	+	2.44345i	−0.223056	+	0.386344i
$41$	1.39282	+	1.39282i	0.217522	+	0.217522i	0.807453	−	0.589931i	$-0.200845\pi$
$41$	1.39282	+	1.39282i	0.217522	+	0.217522i	−0.589931	+	0.807453i	$0.700845\pi$
$42$	−0.853452	−	0.797300i	−0.131691	−	0.123026i
$43$			0.378909i			0.0577831i	0.999583	+	0.0288916i	$0.00919775\pi$
$43$			0.378909i			0.0577831i	−0.999583	+	0.0288916i	$0.990802\pi$
$44$	−6.00486	+	1.60900i	−0.905266	+	0.242565i
$45$	6.77528	+	5.03263i	1.01000	+	0.750220i
$46$	0.190693	−	0.711676i	0.0281162	−	0.104931i
$47$	0.516348	+	1.92704i	0.0753171	+	0.281087i	0.993305	−	0.115521i	$-0.0368538\pi$
$47$	0.516348	+	1.92704i	0.0753171	+	0.281087i	−0.917988	+	0.396608i	$0.870187\pi$
$48$	3.51870	+	5.17806i	0.507880	+	0.747388i
$49$	−3.01371	−	6.31804i	−0.430529	−	0.902577i
$50$	−0.525266	+	0.525266i	−0.0742838	+	0.0742838i
$51$	13.6832	−	1.00427i	1.91603	−	0.140626i
$52$	4.88263	−	4.98368i	0.677099	−	0.691112i
$53$	5.88649	−	3.39856i	0.808571	−	0.466829i	−0.0378884	−	0.999282i	$-0.512063\pi$
$53$	5.88649	−	3.39856i	0.808571	−	0.466829i	0.846459	+	0.532453i	$0.178730\pi$
$54$	−1.17368	+	0.613405i	−0.159718	+	0.0834738i
$55$	−9.03824			−1.21872
$56$	−0.585631	−	2.58799i	−0.0782582	−	0.345835i
$57$	0.124713	+	0.0237956i	0.0165187	+	0.00315180i
$58$	−0.00231692	−	0.00864688i	−0.000304227	−	0.00113539i
$59$	−8.27883	−	2.21831i	−1.07781	−	0.288799i	−0.324113	−	0.946018i	$-0.605066\pi$
$59$	−8.27883	−	2.21831i	−1.07781	−	0.288799i	−0.753699	+	0.657219i	$0.771732\pi$
$60$	3.10053	+	8.90469i	0.400277	+	1.14959i
$61$	−4.83406	+	8.37284i	−0.618938	+	1.07203i	0.370741	+	0.928736i	$0.379104\pi$
$61$	−4.83406	+	8.37284i	−0.618938	+	1.07203i	−0.989680	+	0.143297i	$0.954230\pi$
$62$	2.17271			0.275934
$63$	−7.89163	+	0.849768i	−0.994252	+	0.107061i
$64$			6.48298i			0.810373i
$65$	8.73212	−	5.16144i	1.08309	−	0.640198i
$66$	0.617296	−	1.27681i	0.0759839	−	0.157164i
$67$	−4.85879	−	1.30191i	−0.593595	−	0.159053i	−0.0504994	−	0.998724i	$-0.516081\pi$
$67$	−4.85879	−	1.30191i	−0.593595	−	0.159053i	−0.543096	+	0.839671i	$0.682748\pi$
$68$	13.2744	+	7.66398i	1.60976	+	0.929394i
$69$	−2.81427	−	4.14143i	−0.338798	−	0.498570i
$70$	0.0744576	−	1.89556i	0.00889938	−	0.226563i
$71$	−1.74479	−	1.74479i	−0.207068	−	0.207068i	0.595952	−	0.803020i	$-0.296775\pi$
$71$	−1.74479	−	1.74479i	−0.207068	−	0.207068i	−0.803020	+	0.595952i	$0.796775\pi$
$72$	−2.98873	−	0.346056i	−0.352226	−	0.0407830i
$73$	2.08150	−	7.76825i	0.243621	−	0.909205i	−0.730451	−	0.682965i	$-0.760690\pi$
$73$	2.08150	−	7.76825i	0.243621	−	0.909205i	0.974072	−	0.226240i	$-0.0726433\pi$
$74$	2.02564	−	1.16950i	0.235476	−	0.135952i
$75$	0.369524	+	5.03477i	0.0426690	+	0.581366i
$76$	0.100298	+	0.100298i	0.0115050	+	0.0115050i
$77$	6.24166	−	5.76984i	0.711303	−	0.657535i
$78$	0.132753	+	1.58608i	0.0150313	+	0.179588i
$79$	3.79033	−	6.56505i	0.426446	−	0.738626i	−0.570108	−	0.821569i	$-0.693099\pi$
$79$	3.79033	−	6.56505i	0.426446	−	0.738626i	0.996554	+	0.0829437i	$0.0264322\pi$
$80$	−2.63183	+	9.82214i	−0.294248	+	1.09815i
$81$	−2.05659	+	8.76187i	−0.228510	+	0.973542i
$82$	−0.434759	−	0.251008i	−0.0480111	−	0.0277192i
$83$	−3.46542	−	3.46542i	−0.380379	−	0.380379i	0.490860	−	0.871239i	$-0.336683\pi$
$83$	−3.46542	−	3.46542i	−0.380379	−	0.380379i	−0.871239	+	0.490860i	$0.836683\pi$
$84$	−7.82576	−	4.17010i	−0.853861	−	0.454996i
$85$	15.7578	+	15.7578i	1.70917	+	1.70917i
$86$	−0.0249942	−	0.0932797i	−0.00269520	−	0.0100586i
$87$	−0.0547716	−	0.0264804i	−0.00587214	−	0.00283900i
$88$	2.79034	−	1.61100i	0.297451	−	0.171733i
$89$	3.92087	+	14.6329i	0.415611	+	1.55108i	0.783608	+	0.621255i	$0.213377\pi$
$89$	3.92087	+	14.6329i	0.415611	+	1.55108i	−0.367997	+	0.929827i	$0.619956\pi$
$90$	−1.99991	−	0.792008i	−0.210809	−	0.0834850i
$91$	−2.73529	+	9.13883i	−0.286736	+	0.958010i
$92$		−	5.59398i		−	0.583213i
$93$	9.64866	−	11.1772i	1.00052	−	1.15902i
$94$	−0.254229	−	0.440337i	−0.0262217	−	0.0454173i
$95$	0.103110	+	0.178592i	0.0105789	+	0.0183232i
$96$	−3.83762	−	3.31281i	−0.391675	−	0.338113i
$97$	0.107635	−	0.107635i	0.0109287	−	0.0109287i	−0.701621	−	0.712550i	$-0.747540\pi$
$97$	0.107635	−	0.107635i	0.0109287	−	0.0109287i	0.712550	+	0.701621i	$0.247540\pi$
$98$	1.15867	+	1.35658i	0.117044	+	0.137035i
$99$	−3.82701	−	8.84568i	−0.384629	−	0.889024i
$100$	−2.81999	+	4.88436i	−0.281999	+	0.488436i
$101$	4.49533	+	7.78613i	0.447302	+	0.774749i	0.998209	−	0.0598169i	$-0.0190517\pi$
$101$	4.49533	+	7.78613i	0.447302	+	0.774749i	−0.550908	+	0.834566i	$0.685718\pi$
$102$	−3.30228	+	1.14982i	−0.326974	+	0.113850i
$103$	−4.35494	−	2.51432i	−0.429105	−	0.247744i	0.269860	−	0.962899i	$-0.413022\pi$
$103$	−4.35494	−	2.51432i	−0.429105	−	0.247744i	−0.698965	+	0.715156i	$0.746356\pi$
$104$	−1.77584	+	3.14991i	−0.174135	+	0.308874i
$105$	−9.42078	−	8.80094i	−0.919374	−	0.858884i
$106$	−1.22495	+	1.22495i	−0.118978	+	0.118978i
$107$	−2.16952	−	1.25257i	−0.209735	−	0.121091i	0.391453	−	0.920198i	$-0.371972\pi$
$107$	−2.16952	−	1.25257i	−0.209735	−	0.121091i	−0.601188	+	0.799107i	$0.705306\pi$
$108$	−7.40213	+	6.80494i	−0.712270	+	0.654805i
$109$	12.6799	+	3.39756i	1.21451	+	0.325427i	0.808530	−	0.588455i	$-0.200264\pi$
$109$	12.6799	+	3.39756i	1.21451	+	0.325427i	0.405980	+	0.913882i	$0.366930\pi$
$110$	2.22503	−	0.596195i	0.212148	−	0.0568450i
$111$	2.97922	−	15.6142i	0.282775	−	1.48203i
$112$	−4.45277	−	8.46312i	−0.420747	−	0.799690i
$113$		−	7.91460i		−	0.744543i	−0.928124	−	0.372272i	$-0.878579\pi$
$113$		−	7.91460i		−	0.744543i	0.928124	−	0.372272i	$-0.121421\pi$
$114$	−0.0322715	+	0.00236855i	−0.00302250	+	0.000221835i
$115$	2.10495	−	7.85579i	0.196288	−	0.732556i
$116$	−0.0339835	−	0.0588612i	−0.00315529	−	0.00546512i
$117$	8.74887	+	6.36060i	0.808833	+	0.588038i
$118$	2.18441			0.201091
$119$	−20.9415	−	0.822580i	−1.91970	−	0.0754058i
$120$	−2.74669	−	4.04198i	−0.250737	−	0.368981i
$121$	−0.587739	−	0.339331i	−0.0534308	−	0.0308483i
$122$	0.637745	−	2.38010i	0.0577387	−	0.215484i
$123$	−3.22197	+	1.12186i	−0.290515	+	0.101155i
$124$	15.9341	−	4.26953i	1.43092	−	0.383415i
$125$	4.14840	−	4.14840i	0.371044	−	0.371044i
$126$	1.88671	−	0.729756i	0.168081	−	0.0650119i
$127$			2.97209i			0.263730i	0.991268	+	0.131865i	$0.0420966\pi$
$127$			2.97209i			0.263730i	−0.991268	+	0.131865i	$0.957903\pi$
$128$	−1.94277	−	7.25051i	−0.171718	−	0.640861i
$129$	−0.590859	−	0.285662i	−0.0520222	−	0.0251511i
$130$	−1.80920	+	1.84664i	−0.158678	+	0.161961i
$131$	−13.0495	−	7.53413i	−1.14014	−	0.658260i	−0.193675	−	0.981066i	$-0.562041\pi$
$131$	−13.0495	−	7.53413i	−1.14014	−	0.658260i	−0.946465	+	0.322806i	$0.895374\pi$
$132$	2.01808	−	10.5768i	0.175651	−	0.920593i
$133$	−0.185216	−	0.0575092i	−0.0160603	−	0.00498668i
$134$	1.28201			0.110749
$135$	−12.9556	+	6.77103i	−1.11504	+	0.582757i
$136$	−7.67353	−	2.05612i	−0.658000	−	0.176310i
$137$	−13.7675	−	3.68900i	−1.17624	−	0.315173i	−0.382807	−	0.923829i	$-0.625042\pi$
$137$	−13.7675	−	3.68900i	−1.17624	−	0.315173i	−0.793434	+	0.608656i	$0.791709\pi$
$138$	0.966000	+	0.833897i	0.0822314	+	0.0709861i
$139$	16.5108			1.40042			0.700212	−	0.713935i	$-0.253089\pi$
$139$	16.5108			1.40042			0.700212	+	0.713935i	$0.253089\pi$
$140$	−3.17887	−	14.0479i	−0.268663	−	1.18727i
$141$	−3.39424	−	0.647629i	−0.285846	−	0.0545402i
$142$	0.544624	+	0.314439i	0.0457038	+	0.0263871i
$143$	−11.5829	+	0.118628i	−0.968610	+	0.00992019i
$144$	−10.7273	+	1.58317i	−0.893938	+	0.131931i
$145$	−0.0255752	−	0.0954480i	−0.00212391	−	0.00792653i
$146$			2.04969i			0.169633i
$147$	12.1242	+	0.0637310i	0.999986	+	0.00525645i
$148$	12.5574	−	12.5574i	1.03221	−	1.03221i
$149$	−9.06680	+	2.42944i	−0.742781	+	0.199028i	−0.610314	−	0.792160i	$-0.708957\pi$
$149$	−9.06680	+	2.42944i	−0.742781	+	0.199028i	−0.132467	+	0.991187i	$0.542290\pi$
$150$	−0.423081	−	1.21508i	−0.0345444	−	0.0992112i
$151$	−2.42619	+	9.05465i	−0.197440	+	0.736857i	0.794181	+	0.607681i	$0.207900\pi$
$151$	−2.42619	+	9.05465i	−0.197440	+	0.736857i	−0.991622	+	0.129176i	$0.958767\pi$
$152$	−0.0636657	−	0.0367574i	−0.00516397	−	0.00298142i
$153$	−8.74982	+	22.0942i	−0.707381	+	1.78621i
$154$	−1.15597	+	1.83214i	−0.0931506	+	0.147638i
$155$	23.9833			1.92638
$156$	4.09034	+	11.3710i	0.327489	+	0.910412i
$157$	1.34007	+	2.32108i	0.106950	+	0.185242i	0.914533	−	0.404511i	$-0.132558\pi$
$157$	1.34007	+	2.32108i	0.106950	+	0.185242i	−0.807583	+	0.589753i	$0.799225\pi$
$158$	−0.500048	+	1.86621i	−0.0397817	+	0.148467i
$159$	0.861752	+	11.7414i	0.0683414	+	0.931153i
$160$		−	8.23453i		−	0.650997i
$161$	3.56135	+	6.76884i	0.280673	+	0.533459i
$162$	−0.0716749	−	2.29265i	−0.00563131	−	0.180128i
$163$	−2.23644	+	0.599253i	−0.175172	+	0.0469372i	−0.345339	−	0.938478i	$-0.612236\pi$
$163$	−2.23644	+	0.599253i	−0.175172	+	0.0469372i	0.170167	+	0.985415i	$0.445569\pi$
$164$	−3.68167	−	0.986500i	−0.287490	−	0.0770327i
$165$	6.81398	−	14.0939i	0.530468	−	1.09721i
$166$	1.08171	+	0.624523i	0.0839567	+	0.0484724i
$167$	−13.5165	+	13.5165i	−1.04594	+	1.04594i	−0.0470461	+	0.998893i	$0.514981\pi$
$167$	−13.5165	+	13.5165i	−1.04594	+	1.04594i	−0.998893	+	0.0470461i	$0.985019\pi$
$168$	4.47714	+	1.03789i	0.345419	+	0.0800750i
$169$	11.1228	−	6.72922i	0.855603	−	0.517632i
$170$	−4.91867	−	2.83980i	−0.377245	−	0.217803i
$171$	−0.131128	+	0.176534i	−0.0100276	+	0.0134999i
$172$	−0.366603	−	0.634975i	−0.0279532	−	0.0484164i
$173$	−8.51466	+	14.7478i	−0.647358	+	1.12126i	0.336394	+	0.941721i	$0.390793\pi$
$173$	−8.51466	+	14.7478i	−0.647358	+	1.12126i	−0.983752	+	0.179535i	$0.942541\pi$
$174$	0.0152304	+	0.00290600i	0.00115461	+	0.000220303i
$175$	0.302671	−	7.70549i	0.0228798	−	0.582480i
$176$	8.21107	−	8.21107i	0.618932	−	0.618932i
$177$	9.70062	−	11.2373i	0.729143	−	0.844651i
$178$	−1.93048	−	3.34368i	−0.144695	−	0.250619i
$179$	−6.29452	−	10.9024i	−0.470474	−	0.814886i	0.528955	−	0.848650i	$-0.322584\pi$
$179$	−6.29452	−	10.9024i	−0.470474	−	0.814886i	−0.999430	+	0.0337640i	$0.989251\pi$
$180$	−16.2232	−	1.87843i	−1.20920	−	0.140010i
$181$			11.8729i			0.882509i	0.897382	+	0.441255i	$0.145466\pi$
$181$			11.8729i			0.882509i	−0.897382	+	0.441255i	$0.854534\pi$
$182$	0.0705410	−	2.43022i	0.00522885	−	0.180140i
$183$	−9.41191	−	13.8504i	−0.695748	−	1.02385i
$184$	0.750386	+	2.80048i	0.0553192	+	0.206454i
$185$	22.3599	−	12.9095i	1.64393	−	0.949124i
$186$	−1.63802	+	3.38805i	−0.120105	+	0.248424i
$187$	−6.58654	−	24.5813i	−0.481656	−	1.79756i
$188$	−2.72975	−	2.72975i	−0.199087	−	0.199087i
$189$	4.62445	−	12.9466i	0.336379	−	0.941727i
$190$	−0.0371643	−	0.0371643i	−0.00269618	−	0.00269618i
$191$	18.3898	+	10.6174i	1.33064	+	0.768246i	0.985398	−	0.170267i	$-0.0544632\pi$
$191$	18.3898	+	10.6174i	1.33064	+	0.768246i	0.345243	+	0.938513i	$0.387797\pi$
$192$	−10.1094	−	4.88756i	−0.729580	−	0.352729i
$193$	−1.57794	+	5.88894i	−0.113582	+	0.423895i	−0.999177	−	0.0405640i	$-0.987085\pi$
$193$	−1.57794	+	5.88894i	−0.113582	+	0.423895i	0.885595	+	0.464459i	$0.153751\pi$
$194$	−0.0193976	+	0.0335976i	−0.00139266	+	0.00241217i
$195$	1.46539	+	17.5078i	0.104939	+	1.25376i
$196$	11.1632	+	7.67192i	0.797372	+	0.547994i
$197$	−3.24256	−	3.24256i	−0.231023	−	0.231023i	0.582097	−	0.813120i	$-0.302233\pi$
$197$	−3.24256	−	3.24256i	−0.231023	−	0.231023i	−0.813120	+	0.582097i	$0.802233\pi$
$198$	1.52562	+	1.92518i	0.108421	+	0.136817i
$199$	0.250546	−	0.144653i	0.0177607	−	0.0102542i	−0.491093	−	0.871107i	$-0.663403\pi$
$199$	0.250546	−	0.144653i	0.0177607	−	0.0102542i	0.508854	+	0.860853i	$0.330069\pi$
$200$	0.756554	−	2.82350i	0.0534965	−	0.199652i
$201$	5.69322	−	6.59512i	0.401569	−	0.465184i
$202$	−1.62026	−	1.62026i	−0.114001	−	0.114001i
$203$	0.0785941	+	0.0495881i	0.00551622	+	0.00348040i
$204$	−21.9586	+	14.9217i	−1.53741	+	1.04473i
$205$	−4.79906	−	2.77074i	−0.335181	−	0.193517i
$206$	1.23795	+	0.331708i	0.0862521	+	0.0231112i
$207$	8.57971	−	1.26623i	0.596331	−	0.0880088i
$208$	−3.24389	+	12.6220i	−0.224923	+	0.875181i
$209$		−	0.235497i		−	0.0162896i
$210$	2.89975	+	1.54518i	0.200101	+	0.106628i
$211$	0.580776			0.0399822			0.0199911	−	0.999800i	$-0.493636\pi$
$211$	0.580776			0.0399822			0.0199911	+	0.999800i	$0.493636\pi$
$212$	−6.57637	+	11.3906i	−0.451667	+	0.782310i
$213$	4.03617	−	1.40536i	0.276554	−	0.0962936i
$214$	0.616715	+	0.165248i	0.0421577	+	0.0112961i
$215$	−0.275897	−	1.02966i	−0.0188160	−	0.0702224i
$216$	2.79285	−	4.39964i	0.190030	−	0.299358i
$217$	−16.5625	+	15.3105i	−1.12433	+	1.03934i
$218$	−3.34564			−0.226595
$219$	10.5443	+	9.10235i	0.712518	+	0.615080i
$220$	15.1463	−	8.74470i	1.02116	−	0.589567i
$221$	20.4011	+	19.9874i	1.37232	+	1.34450i
$222$	0.296543	+	4.04041i	0.0199027	+	0.271175i
$223$	−0.0823082	+	0.0823082i	−0.00551176	+	0.00551176i	−0.709857	−	0.704346i	$-0.751241\pi$
$223$	−0.0823082	+	0.0823082i	−0.00551176	+	0.00551176i	0.704346	+	0.709857i	$0.251241\pi$
$224$	5.25677	+	5.68663i	0.351233	+	0.379954i
$225$	−8.12965	−	3.21952i	−0.541977	−	0.214635i
$226$	0.522076	+	1.94841i	0.0347280	+	0.129607i
$227$	−1.82108	+	6.79638i	−0.120870	+	0.451091i	−0.999659	−	0.0261186i	$-0.991685\pi$
$227$	−1.82108	+	6.79638i	−0.120870	+	0.451091i	0.878789	+	0.477210i	$0.158352\pi$
$228$	−0.232017	+	0.0807862i	−0.0153657	+	0.00535020i
$229$	2.32688	−	0.623485i	0.153764	−	0.0412010i	−0.181116	−	0.983462i	$-0.557971\pi$
$229$	2.32688	−	0.623485i	0.153764	−	0.0412010i	0.334880	+	0.942261i	$0.391304\pi$
$230$			2.07279i			0.136675i
$231$	4.29168	+	14.0830i	0.282372	+	0.926590i
$232$	0.0249087	+	0.0249087i	0.00163533	+	0.00163533i
$233$	11.7794	−	20.4025i	0.771693	−	1.33661i	−0.164942	−	0.986303i	$-0.552744\pi$
$233$	11.7794	−	20.4025i	0.771693	−	1.33661i	0.936635	−	0.350308i	$-0.113923\pi$
$234$	−2.57336	−	0.988743i	−0.168226	−	0.0646362i
$235$	−2.80629	−	4.86063i	−0.183062	−	0.317073i
$236$	16.0199	−	4.29252i	1.04281	−	0.279419i
$237$	7.37977	+	10.8600i	0.479367	+	0.705430i
$238$	5.20963	−	1.17887i	0.337690	−	0.0764151i
$239$	−1.35327	−	1.35327i	−0.0875359	−	0.0875359i	0.661983	−	0.749519i	$-0.269715\pi$
$239$	−1.35327	−	1.35327i	−0.0875359	−	0.0875359i	−0.749519	+	0.661983i	$0.769715\pi$
$240$	−13.3322	−	11.5090i	−0.860587	−	0.742901i
$241$	−4.54834	+	16.9746i	−0.292984	+	1.09343i	0.649820	+	0.760088i	$0.274844\pi$
$241$	−4.54834	+	16.9746i	−0.292984	+	1.09343i	−0.942805	+	0.333345i	$0.891823\pi$
$242$	0.167073	+	0.0447671i	0.0107399	+	0.00287774i
$243$	−12.1125	−	9.81261i	−0.777018	−	0.629479i
$244$		−	18.7083i		−	1.19767i
$245$	12.7899	+	14.9745i	0.817119	+	0.956685i
$246$	0.719182	−	0.488713i	0.0458534	−	0.0311592i
$247$	0.134484	+	0.227521i	0.00855704	+	0.0144768i
$248$	−7.40426	+	4.27485i	−0.470171	+	0.271453i
$249$	8.01645	−	2.79126i	0.508022	−	0.176889i
$250$	−0.747607	+	1.29489i	−0.0472828	+	0.0818963i
$251$	21.1871			1.33732			0.668659	−	0.743569i	$-0.266869\pi$
$251$	21.1871			1.33732			0.668659	+	0.743569i	$0.266869\pi$
$252$	12.4026	−	9.05937i	0.781291	−	0.570687i
$253$	−6.56725	+	6.56725i	−0.412879	+	0.412879i
$254$	−0.196050	−	0.731668i	−0.0123013	−	0.0459090i
$255$	−36.4520	+	12.6923i	−2.28271	+	0.794820i
$256$	−5.52644	−	9.57208i	−0.345403	−	0.598255i
$257$	8.39438	−	14.5395i	0.523627	−	0.906949i	−0.475995	−	0.879448i	$-0.657912\pi$
$257$	8.39438	−	14.5395i	0.523627	−	0.906949i	0.999622	−	0.0275005i	$-0.00875479\pi$
$258$	0.164301	+	0.0313490i	0.0102289	+	0.00195170i
$259$	−7.20018	+	23.1892i	−0.447398	+	1.44091i
$260$	−9.63945	+	17.0981i	−0.597814	+	1.06038i
$261$	0.0825854	−	0.0654454i	0.00511190	−	0.00405097i
$262$	3.70950	+	0.993957i	0.229174	+	0.0614069i
$263$	−23.2847	+	13.4435i	−1.43580	+	0.828959i	−0.997554	−	0.0698972i	$-0.977733\pi$
$263$	−23.2847	+	13.4435i	−1.43580	+	0.828959i	−0.438244	+	0.898856i	$0.644400\pi$
$264$	0.408491	+	5.56570i	0.0251409	+	0.342545i
$265$	−13.5215	+	13.5215i	−0.830622	+	0.830622i
$266$	0.0493900	+	0.00194004i	0.00302830	+	0.000118951i
$267$	−25.7740	−	4.91774i	−1.57734	−	0.300961i
$268$	9.40197	−	2.51925i	0.574317	−	0.153888i
$269$	15.2291	−	8.79254i	0.928536	−	0.536091i	0.0421879	−	0.999110i	$-0.486567\pi$
$269$	15.2291	−	8.79254i	0.928536	−	0.536091i	0.886348	+	0.463019i	$0.153234\pi$
$270$	2.74277	−	2.52149i	0.166920	−	0.153453i
$271$	9.54880	−	2.55859i	0.580048	−	0.155424i	0.0431474	−	0.999069i	$-0.486261\pi$
$271$	9.54880	−	2.55859i	0.580048	−	0.155424i	0.536901	+	0.843645i	$0.319595\pi$
$272$	−28.6312			−1.73602
$273$	−12.1886	−	11.1551i	−0.737690	−	0.675139i
$274$	3.63263			0.219455
$275$	9.04477	−	2.42354i	0.545420	−	0.146145i
$276$	8.72308	+	4.21734i	0.525067	+	0.253854i
$277$	6.45680	−	3.72783i	0.387951	−	0.223984i	−0.293321	−	0.956014i	$-0.594760\pi$
$277$	6.45680	−	3.72783i	0.387951	−	0.223984i	0.681272	+	0.732030i	$0.261427\pi$
$278$	−4.06461	+	1.08911i	−0.243779	+	0.0653205i
$279$	10.1551	+	23.4723i	0.607970	+	1.40525i
$280$	3.47582	+	6.60629i	0.207720	+	0.394801i
$281$	−16.7345	+	16.7345i	−0.998296	+	0.998296i	−0.999999	−	0.00170209i	$-0.999458\pi$
$281$	−16.7345	+	16.7345i	−0.998296	+	0.998296i	0.00170209	+	0.999999i	$0.499458\pi$
$282$	0.878312	−	0.0644632i	0.0523027	−	0.00383873i
$283$	21.7494	−	12.5570i	1.29287	−	0.746438i	0.313707	−	0.949520i	$-0.398429\pi$
$283$	21.7494	−	12.5570i	1.29287	−	0.746438i	0.979162	+	0.203082i	$0.0650957\pi$
$284$	4.61203	+	1.23579i	0.273674	+	0.0733307i
$285$	−0.356227	+	0.0261450i	−0.0211011	+	0.00154870i
$286$	2.84365	−	0.793253i	0.168148	−	0.0469060i
$287$	5.08294	−	1.15021i	0.300036	−	0.0678945i
$288$	8.05910	−	3.48670i	0.474887	−	0.205456i
$289$	−22.8731	+	39.6173i	−1.34547	+	2.33043i
$290$	0.0125922	+	0.0218103i	0.000739439	+	0.00128075i
$291$	0.0866959	+	0.248989i	0.00508220	+	0.0145960i
$292$	4.02779	+	15.0319i	0.235708	+	0.879676i
$293$	8.13360	−	8.13360i	0.475170	−	0.475170i	−0.428413	−	0.903583i	$-0.640927\pi$
$293$	8.13360	−	8.13360i	0.475170	−	0.475170i	0.903583	+	0.428413i	$0.140927\pi$
$294$	−2.98893	+	0.784066i	−0.174318	+	0.0457277i
$295$	24.1124			1.40388
$296$	−4.60205	+	7.97098i	−0.267489	+	0.463304i
$297$	16.6789	+	0.701098i	0.967806	+	0.0406818i
$298$	2.07181	−	1.19616i	0.120017	−	0.0692916i
$299$	2.59448	−	10.0952i	0.150043	−	0.583818i
$300$	−5.49050	−	8.07974i	−0.316994	−	0.466484i
$301$	0.847847	+	0.534940i	0.0488691	+	0.0308334i
$302$		−	2.38911i		−	0.137478i
$303$	−15.5305	+	1.13985i	−0.892204	+	0.0654827i
$304$	−0.255922	−	0.0685740i	−0.0146781	−	0.00393299i
$305$	7.03970	−	26.2725i	0.403092	−	1.50436i
$306$	0.696610	−	6.01632i	0.0398225	−	0.343930i
$307$	−14.1383	−	14.1383i	−0.806918	−	0.806918i	0.177248	−	0.984166i	$-0.443280\pi$
$307$	−14.1383	−	14.1383i	−0.806918	−	0.806918i	−0.984166	+	0.177248i	$0.943280\pi$
$308$	−4.87730	+	15.7080i	−0.277910	+	0.895048i
$309$	7.20397	−	4.89538i	0.409819	−	0.278488i
$310$	−5.90420	+	1.58202i	−0.335336	+	0.0898530i
$311$	10.1078	+	17.5072i	0.573160	+	0.992743i	0.996239	+	0.0866500i	$0.0276162\pi$
$311$	10.1078	+	17.5072i	0.573160	+	0.992743i	−0.423078	+	0.906093i	$0.639050\pi$
$312$	−3.57305	−	5.14392i	−0.202284	−	0.291217i
$313$	13.0051	−	22.5254i	0.735090	−	1.27321i	−0.219594	−	0.975591i	$-0.570473\pi$
$313$	13.0051	−	22.5254i	0.735090	−	1.27321i	0.954684	−	0.297621i	$-0.0961933\pi$
$314$	−0.483006	−	0.483006i	−0.0272576	−	0.0272576i
$315$	20.8263	−	8.05537i	1.17343	−	0.453869i
$316$			14.6689i			0.825192i
$317$	−6.64679	+	1.78100i	−0.373321	+	0.100031i	−0.440601	−	0.897703i	$-0.645235\pi$
$317$	−6.64679	+	1.78100i	−0.373321	+	0.100031i	0.0672799	+	0.997734i	$0.478568\pi$
$318$	−0.986650	−	2.83365i	−0.0553286	−	0.158903i
$319$	−0.0292060	+	0.108998i	−0.00163522	+	0.00610273i
$320$	−4.72049	−	17.6171i	−0.263883	−	0.984826i
$321$	3.58883	−	2.43875i	0.200309	−	0.136118i
$322$	−1.32323	−	1.43143i	−0.0737406	−	0.0797705i
$323$	−0.410577	+	0.410577i	−0.0228451	+	0.0228451i
$324$	−5.03088	−	16.6729i	−0.279493	−	0.926274i
$325$	−7.35443	+	7.50663i	−0.407950	+	0.416393i
$326$	0.511038	−	0.295048i	0.0283038	−	0.0163412i
$327$	−14.8575	+	17.2111i	−0.821619	+	0.951776i
$328$	1.97546			0.109076
$329$	5.04091	+	1.56519i	0.277915	+	0.0862917i
$330$	−0.747777	+	3.91911i	−0.0411637	+	0.215740i
$331$	−2.93997	−	10.9721i	−0.161595	−	0.603082i	−0.998450	−	0.0556568i	$-0.982275\pi$
$331$	−2.93997	−	10.9721i	−0.161595	−	0.603082i	0.836855	−	0.547425i	$-0.184392\pi$
$332$	9.16020	+	2.45447i	0.502731	+	0.134706i
$333$	22.1022	+	16.4173i	1.21119	+	0.899664i
$334$	2.43589	−	4.21909i	0.133286	−	0.230858i
$335$	14.1514			0.773174
$336$	16.5541	−	0.563110i	0.903099	−	0.0307202i
$337$			0.687884i			0.0374714i	0.999824	+	0.0187357i	$0.00596411\pi$
$337$			0.687884i			0.0374714i	−0.999824	+	0.0187357i	$0.994036\pi$
$338$	−2.29433	+	2.39030i	−0.124795	+	0.130015i
$339$	12.3418	+	5.96687i	0.670313	+	0.324076i
$340$	−41.6528	−	11.1608i	−2.25894	−	0.605281i
$341$	−23.7187	−	13.6940i	−1.28444	−	0.741573i
$342$	0.0206362	−	0.0521088i	0.00111588	−	0.00281772i
$343$	−18.3920	−	2.17626i	−0.993072	−	0.117507i
$344$	0.268706	+	0.268706i	0.0144877	+	0.0144877i
$345$	10.6631	+	9.20492i	0.574083	+	0.495576i
$346$	1.12332	−	4.19227i	0.0603899	−	0.225378i
$347$	−1.84737	+	1.06658i	−0.0991719	+	0.0572569i	−0.548766	−	0.835976i	$-0.684902\pi$
$347$	−1.84737	+	1.06658i	−0.0991719	+	0.0572569i	0.449594	+	0.893233i	$0.351569\pi$
$348$	0.117407	−	0.00861698i	0.00629365	−	0.000461919i
$349$	−18.9392	−	18.9392i	−1.01379	−	1.01379i	−0.999904	−	0.0138872i	$-0.995579\pi$
$349$	−18.9392	−	18.9392i	−1.01379	−	1.01379i	−0.0138872	−	0.999904i	$-0.504421\pi$
$350$	0.433771	+	1.91690i	0.0231860	+	0.102463i
$351$	−16.5143	+	8.84740i	−0.881470	+	0.472240i
$352$	−4.70177	+	8.14370i	−0.250605	+	0.434061i
$353$	3.14604	−	11.7412i	0.167447	−	0.624920i	−0.830269	−	0.557363i	$-0.811813\pi$
$353$	3.14604	−	11.7412i	0.167447	−	0.624920i	0.997715	−	0.0675566i	$-0.0215203\pi$
$354$	−1.64684	+	3.40629i	−0.0875284	+	0.181042i
$355$	6.01179	+	3.47091i	0.319073	+	0.184217i
$356$	−20.7282	−	20.7282i	−1.09859	−	1.09859i
$357$	17.0706	−	32.0353i	0.903473	−	1.69549i
$358$	2.26875	+	2.26875i	0.119907	+	0.119907i
$359$	1.51841	+	5.66678i	0.0801385	+	0.299081i	0.994349	−	0.106158i	$-0.0338550\pi$
$359$	1.51841	+	5.66678i	0.0801385	+	0.299081i	−0.914211	+	0.405239i	$0.867188\pi$
$360$	8.37367	−	1.23582i	0.441331	−	0.0651333i
$361$	16.4498	−	9.49731i	0.865780	−	0.499859i
$362$	−0.783183	−	2.92288i	−0.0411632	−	0.153623i
$363$	0.972242	−	0.660677i	0.0510295	−	0.0346766i
$364$	−4.25824	−	17.9613i	−0.223192	−	0.941427i
$365$			22.6253i			1.18426i
$366$	3.23064	+	2.78885i	0.168868	+	0.145775i
$367$	−15.9432	−	27.6144i	−0.832228	−	1.44146i	−0.896268	−	0.443513i	$-0.853732\pi$
$367$	−15.9432	−	27.6144i	−0.832228	−	1.44146i	0.0640399	−	0.997947i	$-0.479602\pi$
$368$	5.22453	+	9.04914i	0.272347	+	0.471719i
$369$	0.679670	−	5.87002i	0.0353822	−	0.305581i
$370$	−4.65299	+	4.65299i	−0.241897	+	0.241897i
$371$	0.705847	−	17.9697i	0.0366457	−	0.932938i
$372$	−5.35505	+	28.0659i	−0.277647	+	1.45515i
$373$	4.21830	−	7.30631i	0.218415	−	0.378307i	−0.735908	−	0.677081i	$-0.763245\pi$
$373$	4.21830	−	7.30631i	0.218415	−	0.378307i	0.954324	+	0.298775i	$0.0965779\pi$
$374$	3.24295	+	5.61695i	0.167689	+	0.290445i
$375$	3.34137	+	9.59638i	0.172548	+	0.495555i
$376$	1.73275	+	1.00040i	0.0893596	+	0.0515918i
$377$	−0.0340285	−	0.121985i	−0.00175256	−	0.00628255i
$378$	−0.284441	+	3.49223i	−0.0146301	+	0.179621i
$379$	−9.76263	+	9.76263i	−0.501473	+	0.501473i	−0.911895	−	0.410423i	$-0.865381\pi$
$379$	−9.76263	+	9.76263i	−0.501473	+	0.501473i	0.410423	+	0.911895i	$0.365381\pi$
$380$	−0.345584	−	0.199523i	−0.0177281	−	0.0102353i
$381$	−4.63458	−	2.24068i	−0.237437	−	0.114793i
$382$	−5.22756	−	1.40072i	−0.267465	−	0.0716671i
$383$	4.70284	−	1.26012i	0.240304	−	0.0643892i	−0.136657	−	0.990618i	$-0.543636\pi$
$383$	4.70284	−	1.26012i	0.240304	−	0.0643892i	0.376961	+	0.926229i	$0.376969\pi$
$384$	12.7709	+	2.43672i	0.651711	+	0.124348i
$385$	−12.7601	+	20.2240i	−0.650314	+	1.03071i
$386$		−	1.55382i		−	0.0790875i
$387$	0.890904	−	0.706003i	0.0452872	−	0.0358882i
$388$	−0.0762353	+	0.284514i	−0.00387026	+	0.0144440i
$389$	−12.7346	−	22.0570i	−0.645670	−	1.11833i	−0.984146	−	0.177358i	$-0.943245\pi$
$389$	−12.7346	−	22.0570i	−0.645670	−	1.11833i	0.338476	−	0.940975i	$-0.390088\pi$
$390$	−1.51563	−	4.21341i	−0.0767468	−	0.213354i
$391$	22.8994			1.15807
$392$	−6.61768	−	2.34329i	−0.334243	−	0.118354i
$393$	21.5866	−	14.6689i	1.08890	−	0.739950i
$394$	1.01214	+	0.584362i	0.0509911	+	0.0294397i
$395$	−5.51975	+	20.6000i	−0.277729	+	1.03650i
$396$	14.9717	+	11.1209i	0.752355	+	0.558844i
$397$	4.20331	−	1.12627i	0.210958	−	0.0565260i	−0.151792	−	0.988412i	$-0.548504\pi$
$397$	4.20331	−	1.12627i	0.210958	−	0.0565260i	0.362750	+	0.931886i	$0.381838\pi$
$398$	−0.0521374	+	0.0521374i	−0.00261341	+	0.00261341i
$399$	0.229314	−	0.245464i	0.0114800	−	0.0122886i
$400$		−	10.5350i		−	0.526748i
$401$	−8.64026	−	32.2459i	−0.431474	−	1.61028i	−0.749366	−	0.662156i	$-0.769641\pi$
$401$	−8.64026	−	32.2459i	−0.431474	−	1.61028i	0.317891	−	0.948127i	$-0.397025\pi$
$402$	−0.966517	+	1.99913i	−0.0482055	+	0.0997075i
$403$	30.7356	−	0.314784i	1.53105	−	0.0156805i
$404$	−15.0665	−	8.69866i	−0.749587	−	0.432774i
$405$	−0.791178	−	25.3073i	−0.0393140	−	1.25753i
$406$	−0.0226193	−	0.00702322i	−0.00112258	−	0.000348556i
$407$	−29.4843			−1.46148
$408$	8.99136	−	10.4157i	0.445139	−	0.515655i
$409$	−7.41551	−	1.98698i	−0.366674	−	0.0982499i	0.0707774	−	0.997492i	$-0.477452\pi$
$409$	−7.41551	−	1.98698i	−0.366674	−	0.0982499i	−0.437451	+	0.899242i	$0.644119\pi$
$410$	1.36420	+	0.365536i	0.0673730	+	0.0180525i
$411$	16.1319	−	18.6875i	0.795730	−	0.921786i
$412$	9.73066			0.479395
$413$	−16.6516	+	15.3929i	−0.819374	+	0.757437i
$414$	−2.02863	+	0.877668i	−0.0997015	+	0.0431350i
$415$	11.9403	+	6.89376i	0.586128	+	0.338401i
$416$	−0.108080	−	10.5529i	−0.00529903	−	0.517399i
$417$	−12.4476	+	25.7463i	−0.609560	+	1.26080i
$418$	0.0155342	+	0.0579745i	0.000759803	+	0.00283562i
$419$			18.1984i			0.889049i	0.895767	+	0.444525i	$0.146627\pi$
$419$			18.1984i			0.889049i	−0.895767	+	0.444525i	$0.853373\pi$
$420$	24.3024	+	5.63378i	1.18584	+	0.274900i
$421$	−15.6859	+	15.6859i	−0.764486	+	0.764486i	−0.977130	−	0.212644i	$-0.931793\pi$
$421$	−15.6859	+	15.6859i	−0.764486	+	0.764486i	0.212644	+	0.977130i	$0.431793\pi$
$422$	−0.142975	+	0.0383101i	−0.00695992	+	0.00186491i
$423$	3.56883	−	4.80461i	0.173522	−	0.233608i
$424$	1.76433	−	6.58457i	0.0856834	−	0.319775i
$425$	−19.9945	−	11.5438i	−0.969875	−	0.559957i
$426$	−0.900921	+	0.612211i	−0.0436497	+	0.0296617i
$427$	11.9104	+	22.6374i	0.576385	+	1.09550i
$428$	4.84756			0.234316
$429$	8.54742	−	18.1514i	0.412674	−	0.876358i
$430$	0.135840	+	0.235283i	0.00655081	+	0.0113463i
$431$	−0.978180	+	3.65062i	−0.0471173	+	0.175844i	−0.985475	−	0.169823i	$-0.945681\pi$
$431$	−0.978180	+	3.65062i	−0.0471173	+	0.175844i	0.938357	+	0.345667i	$0.112347\pi$
$432$	5.61860	−	17.9213i	0.270325	−	0.862239i
$433$		−	11.0265i		−	0.529899i	−0.964262	−	0.264949i	$-0.914645\pi$
$433$		−	11.0265i		−	0.529899i	0.964262	−	0.264949i	$-0.0853553\pi$
$434$	3.06740	−	4.86165i	0.147240	−	0.233367i
$435$	0.168120	+	0.0320777i	0.00806073	+	0.00153801i
$436$	−24.5361	+	6.57442i	−1.17507	+	0.314858i
$437$	0.204687	+	0.0548458i	0.00979152	+	0.00262363i
$438$	−3.19622	−	1.54527i	−0.152721	−	0.0738359i
$439$	−23.7490	−	13.7115i	−1.13348	−	0.654415i	−0.188672	−	0.982040i	$-0.560418\pi$
$439$	−23.7490	−	13.7115i	−1.13348	−	0.654415i	−0.944808	+	0.327625i	$0.893752\pi$
$440$	−6.40954	+	6.40954i	−0.305563	+	0.305563i
$441$	−9.23988	+	18.8580i	−0.439994	+	0.898001i
$442$	−6.34077	−	3.57476i	−0.301599	−	0.170034i
$443$	2.11034	+	1.21840i	0.100265	+	0.0578881i	0.549294	−	0.835629i	$-0.314897\pi$
$443$	2.11034	+	1.21840i	0.100265	+	0.0578881i	−0.449029	+	0.893517i	$0.648230\pi$
$444$	10.1145	+	29.0487i	0.480012	+	1.37859i
$445$	−21.3094	−	36.9090i	−1.01016	−	1.74965i
$446$	0.0148333	−	0.0256919i	0.000702375	−	0.00121655i
$447$	3.04712	−	15.9700i	0.144124	−	0.755357i
$448$	14.5063	+	9.15260i	0.685359	+	0.432420i
$449$	−7.28361	+	7.28361i	−0.343735	+	0.343735i	−0.857770	−	0.514035i	$-0.828150\pi$
$449$	−7.28361	+	7.28361i	−0.343735	+	0.343735i	0.514035	+	0.857770i	$0.328150\pi$
$450$	2.21372	+	0.256320i	0.104356	+	0.0120830i
$451$	3.16408	+	5.48035i	0.148991	+	0.258060i
$452$	7.65756	+	13.2633i	0.360181	+	0.623852i
$453$	−12.2904	−	10.6097i	−0.577454	−	0.498486i
$454$		−	1.79325i		−	0.0841616i
$455$	0.778662	−	26.8259i	0.0365043	−	1.25762i
$456$	0.105316	−	0.0715665i	0.00493188	−	0.00335141i
$457$	−1.35656	−	5.06276i	−0.0634573	−	0.236826i	0.926912	−	0.375280i	$-0.122453\pi$
$457$	−1.35656	−	5.06276i	−0.0634573	−	0.236826i	−0.990369	+	0.138454i	$0.955787\pi$
$458$	−0.531702	+	0.306979i	−0.0248448	+	0.0143442i
$459$	−27.8565	−	30.3012i	−1.30023	−	1.41434i
$460$	4.07318	+	15.2013i	0.189913	+	0.708764i
$461$	23.7114	+	23.7114i	1.10435	+	1.10435i	0.993879	+	0.110471i	$0.0352358\pi$
$461$	23.7114	+	23.7114i	1.10435	+	1.10435i	0.110471	+	0.993879i	$0.464764\pi$
$462$	−1.98549	−	3.18384i	−0.0923732	−	0.148126i
$463$	−8.98248	−	8.98248i	−0.417451	−	0.417451i	0.466873	−	0.884324i	$-0.345380\pi$
$463$	−8.98248	−	8.98248i	−0.417451	−	0.417451i	−0.884324	+	0.466873i	$0.845380\pi$
$464$	0.109947	+	0.0634781i	0.00510418	+	0.00294690i
$465$	−18.0811	+	37.3987i	−0.838493	+	1.73433i
$466$	−1.55402	+	5.79969i	−0.0719886	+	0.268665i
$467$	−5.44419	+	9.42961i	−0.251927	+	0.436350i	−0.964056	−	0.265698i	$-0.914398\pi$
$467$	−5.44419	+	9.42961i	−0.251927	+	0.436350i	0.712129	+	0.702048i	$0.247731\pi$
$468$	−20.8154	−	2.19436i	−0.962190	−	0.101434i
$469$	−9.77273	+	9.03400i	−0.451263	+	0.417151i
$470$	1.01148	+	1.01148i	0.0466559	+	0.0466559i
$471$	−4.62970	+	0.339794i	−0.213325	+	0.0156569i
$472$	−7.44413	+	4.29787i	−0.342644	+	0.197825i
$473$	−0.315064	+	1.17584i	−0.0144867	+	0.0540650i
$474$	−2.53311	−	2.18670i	−0.116350	−	0.100439i
$475$	−0.151073	−	0.151073i	−0.00693172	−	0.00693172i
$476$	35.8896	−	18.8829i	1.64500	−	0.865496i
$477$	−18.9588	−	7.50812i	−0.868065	−	0.343773i
$478$	0.422415	+	0.243881i	0.0193208	+	0.0111549i
$479$	−4.04474	−	1.08378i	−0.184809	−	0.0495194i	0.165228	−	0.986255i	$-0.447164\pi$
$479$	−4.04474	−	1.08378i	−0.184809	−	0.0495194i	−0.350036	+	0.936736i	$0.613831\pi$
$480$	12.8407	+	6.20806i	0.586093	+	0.283358i
$481$	28.4857	−	16.8375i	1.29884	−	0.767726i
$482$		−	4.47884i		−	0.204005i
$483$	−13.2400	+	0.450378i	−0.602442	+	0.0204929i
$484$	1.31324			0.0596928
$485$	−0.214119	+	0.370865i	−0.00972263	+	0.0168401i
$486$	3.62913	+	1.61668i	0.164621	+	0.0733340i
$487$	1.50609	+	0.403555i	0.0682473	+	0.0182868i	0.292781	−	0.956179i	$-0.405419\pi$
$487$	1.50609	+	0.403555i	0.0682473	+	0.0182868i	−0.224534	+	0.974466i	$0.572086\pi$
$488$	2.50955	+	9.36578i	0.113602	+	0.423969i
$489$	0.751613	−	3.93922i	0.0339891	−	0.178138i
$490$	−4.13639	−	2.84274i	−0.186863	−	0.128422i
$491$	11.7480			0.530180			0.265090	−	0.964224i	$-0.414598\pi$
$491$	11.7480			0.530180			0.265090	+	0.964224i	$0.414598\pi$
$492$	4.31395	−	4.99734i	0.194488	−	0.225298i
$493$	0.240953	−	0.139114i	0.0108520	−	0.00626538i
$494$	−0.0481154	−	0.0471398i	−0.00216481	−	0.00212092i
$495$	16.8405	+	21.2510i	0.756925	+	0.955161i
$496$	−21.7884	+	21.7884i	−0.978326	+	0.978326i
$497$	−6.36741	+	1.44087i	−0.285617	+	0.0646317i
$498$	−1.78937	+	1.21595i	−0.0801834	+	0.0544878i
$499$	4.09542	+	15.2843i	0.183336	+	0.684221i	0.994981	+	0.100068i	$0.0319062\pi$
$499$	4.09542	+	15.2843i	0.183336	+	0.684221i	−0.811644	+	0.584152i	$0.801427\pi$
$500$	−2.93821	+	10.9655i	−0.131401	+	0.490394i
$501$	−10.8870	−	31.2674i	−0.486396	−	1.39692i
$502$	−5.21583	+	1.39758i	−0.232794	+	0.0623770i
$503$		−	22.3862i		−	0.998150i	−0.866559	−	0.499075i	$-0.833673\pi$
$503$		−	22.3862i		−	0.998150i	0.866559	−	0.499075i	$-0.166327\pi$
$504$	−4.99379	+	6.19903i	−0.222441	+	0.276127i
$505$	−17.8851	−	17.8851i	−0.795878	−	0.795878i
$506$	1.18352	−	2.04992i	0.0526140	−	0.0911301i
$507$	2.10775	+	22.4178i	0.0936084	+	0.995609i
$508$	−2.87556	−	4.98062i	−0.127583	−	0.220979i
$509$	9.85480	−	2.64058i	0.436806	−	0.117042i	−0.0337131	−	0.999432i	$-0.510733\pi$
$509$	9.85480	−	2.64058i	0.436806	−	0.117042i	0.470519	+	0.882390i	$0.344067\pi$
$510$	8.13651	−	5.52908i	0.360291	−	0.244832i
$511$	−14.4436	−	15.6247i	−0.638947	−	0.691195i
$512$	12.6074	+	12.6074i	0.557173	+	0.557173i
$513$	−0.176423	−	0.337567i	−0.00778927	−	0.0149039i
$514$	−1.10745	+	4.13305i	−0.0488474	+	0.182301i
$515$	13.6650	+	3.66153i	0.602153	+	0.161347i
$516$	1.26654	−	0.0929572i	0.0557565	−	0.00409221i
$517$			6.40936i			0.281883i
$518$	0.242894	−	6.18366i	0.0106721	−	0.271694i
$519$	−16.5780	−	24.3960i	−0.727695	−	1.07086i
$520$	2.53217	−	9.85273i	0.111043	−	0.432071i
$521$	22.7900	−	13.1578i	0.998447	−	0.576454i	0.0906586	−	0.995882i	$-0.471103\pi$
$521$	22.7900	−	13.1578i	0.998447	−	0.576454i	0.907788	+	0.419428i	$0.137769\pi$
$522$	−0.0160138	+	0.0215589i	−0.000700906	+	0.000943609i
$523$	−1.99759	+	3.45993i	−0.0873486	+	0.151292i	−0.906390	−	0.422443i	$-0.861173\pi$
$523$	−1.99759	+	3.45993i	−0.0873486	+	0.151292i	0.819041	+	0.573735i	$0.194506\pi$
$524$	29.1578			1.27376
$525$	11.7875	+	6.28119i	0.514449	+	0.274134i
$526$	4.84545	−	4.84545i	0.211272	−	0.211272i
$527$	17.4776	+	65.2274i	0.761338	+	2.84135i
$528$	6.61369	+	18.9944i	0.287824	+	0.826627i
$529$	7.32140	+	12.6810i	0.318322	+	0.551350i
$530$	2.43680	−	4.22066i	0.105848	−	0.183334i
$531$	10.2098	+	23.5987i	0.443067	+	1.02410i
$532$	0.366027	−	0.0828273i	0.0158693	−	0.00359102i
$533$	−6.18657	−	3.48783i	−0.267970	−	0.151075i
$534$	6.66942	−	0.489498i	0.288614	−	0.0211827i
$535$	6.80756	+	1.82408i	0.294317	+	0.0788619i
$536$	−4.36891	+	2.52239i	−0.188708	+	0.108951i
$537$	21.7464	−	1.59606i	0.938425	−	0.0688751i
$538$	−3.16911	+	3.16911i	−0.136630	+	0.136630i
$539$	−4.09871	−	22.1121i	−0.176544	−	0.952437i
$540$	15.1599	−	23.8817i	0.652379	−	1.02771i
$541$	−3.29000	+	0.881552i	−0.141448	+	0.0379009i	−0.328848	−	0.944383i	$-0.606661\pi$
$541$	−3.29000	+	0.881552i	−0.141448	+	0.0379009i	0.187400	+	0.982284i	$0.439994\pi$
$542$	−2.18195	+	1.25975i	−0.0937226	+	0.0541108i
$543$	−18.5143	−	8.95109i	−0.794524	−	0.384128i
$544$	22.3955	−	6.00085i	0.960198	−	0.257284i
$545$	−36.9306			−1.58193
$546$	3.73643	+	1.94216i	0.159904	+	0.0831167i
$547$	−5.84928			−0.250097			−0.125049	−	0.992151i	$-0.539909\pi$
$547$	−5.84928			−0.250097			−0.125049	+	0.992151i	$0.539909\pi$
$548$	26.6408	−	7.13839i	1.13804	−	0.304937i
$549$	28.6936	−	4.23471i	1.22461	−	0.180733i
$550$	−2.06677	+	1.19325i	−0.0881275	+	0.0508804i
$551$	0.00248695		0.000666378i	0.000105948		2.83886e-5i
$552$	−4.93269	−	0.941170i	−0.209949	−	0.0400589i
$553$	−9.33880	−	17.7497i	−0.397126	−	0.754794i
$554$	−1.34363	+	1.34363i	−0.0570854	+	0.0570854i
$555$	3.27337	+	44.5998i	0.138947	+	1.89316i
$556$	−27.6687	+	15.9745i	−1.17341	+	0.677471i
$557$	−30.4609	−	8.16196i	−1.29067	−	0.345833i	−0.452754	−	0.891636i	$-0.649558\pi$
$557$	−30.4609	−	8.16196i	−1.29067	−	0.345833i	−0.837914	+	0.545802i	$0.816225\pi$
$558$	−4.04830	−	5.10854i	−0.171378	−	0.216262i
$559$	−0.367088	−	1.31593i	−0.0155262	−	0.0556581i
$560$	18.2624	+	19.7558i	0.771728	+	0.834834i
$561$	43.2969	+	8.26116i	1.82800	+	0.348787i
$562$	3.01582	−	5.22356i	0.127215	−	0.220343i
$563$	−15.9085	−	27.5543i	−0.670464	−	1.16128i	−0.977773	−	0.209667i	$-0.932762\pi$
$563$	−15.9085	−	27.5543i	−0.670464	−	1.16128i	0.307309	−	0.951610i	$-0.400571\pi$
$564$	6.31465	−	2.19871i	0.265895	−	0.0925822i
$565$	5.76290	+	21.5074i	0.242447	+	0.904825i
$566$	−4.52596	+	4.52596i	−0.190240	+	0.190240i
$567$	16.7021	+	16.9717i	0.701422	+	0.712746i
$568$	−2.47466			−0.103834
$569$	−10.2235	+	17.7077i	−0.428593	+	0.742345i	−0.996748	−	0.0805766i	$-0.974324\pi$
$569$	−10.2235	+	17.7077i	−0.428593	+	0.742345i	0.568156	+	0.822921i	$0.307657\pi$
$570$	0.0859711	−	0.0299344i	0.00360093	−	0.00125381i
$571$	−30.0115	+	17.3271i	−1.25594	+	0.725118i	−0.972283	−	0.233808i	$-0.924881\pi$
$571$	−30.0115	+	17.3271i	−1.25594	+	0.725118i	−0.283658	+	0.958926i	$0.591548\pi$
$572$	19.2958	−	11.4055i	0.806798	−	0.476888i
$573$	−30.4206	+	20.6720i	−1.27084	+	0.863585i
$574$	−1.17544	+	0.618446i	−0.0490621	+	0.0258135i
$575$			8.42590i			0.351384i
$576$	15.2430	−	12.0794i	0.635125	−	0.503310i
$577$	3.27490	+	0.877506i	0.136336	+	0.0365310i	0.326342	−	0.945252i	$-0.394184\pi$
$577$	3.27490	+	0.877506i	0.136336	+	0.0365310i	−0.190006	+	0.981783i	$0.560851\pi$
$578$	3.01758	−	11.2618i	0.125515	−	0.468427i
$579$	−7.99340	−	6.90029i	−0.332194	−	0.286766i
$580$	0.135207	+	0.135207i	0.00561416	+	0.00561416i
$581$	−12.6467	+	2.86178i	−0.524671	+	0.118727i
$582$	−0.0377670	−	0.0555773i	−0.00156549	−	0.00230375i
$583$	21.0929	−	5.65184i	0.873580	−	0.234075i
$584$	−4.03281	−	6.98502i	−0.166879	−	0.289042i
$585$	−28.4059	−	10.9142i	−1.17444	−	0.451246i
$586$	−1.46580	+	2.53885i	−0.0605518	+	0.104879i
$587$	−10.3142	−	10.3142i	−0.425714	−	0.425714i	0.461452	−	0.887165i	$-0.347329\pi$
$587$	−10.3142	−	10.3142i	−0.425714	−	0.425714i	−0.887165	+	0.461452i	$0.847329\pi$
$588$	−20.3793	+	11.6236i	−0.840430	+	0.479350i
$589$			0.624899i			0.0257485i
$590$	−5.93599	+	1.59054i	−0.244381	+	0.0654816i
$591$	7.50094	−	2.61176i	0.308547	−	0.107433i
$592$	−8.58551	+	32.0415i	−0.352862	+	1.31690i
$593$	9.51681	+	35.5172i	0.390808	+	1.45852i	0.828804	+	0.559540i	$0.189022\pi$
$593$	9.51681	+	35.5172i	0.390808	+	1.45852i	−0.437995	+	0.898977i	$0.644311\pi$
$594$	−4.15224	+	0.927603i	−0.170369	+	0.0380600i
$595$	57.5062	−	13.0129i	2.35752	−	0.533478i
$596$	12.8436	−	12.8436i	0.526094	−	0.526094i
$597$	0.0366786	+	0.499747i	0.00150116	+	0.0204533i
$598$	0.0272056	+	2.65636i	0.00111252	+	0.108627i
$599$	9.82791	−	5.67415i	0.401558	−	0.231839i	−0.285598	−	0.958349i	$-0.592192\pi$
$599$	9.82791	−	5.67415i	0.401558	−	0.231839i	0.687156	+	0.726510i	$0.258859\pi$
$600$	3.83250	+	3.30840i	0.156461	+	0.135065i
$601$	−8.65978			−0.353240			−0.176620	−	0.984279i	$-0.556516\pi$
$601$	−8.65978			−0.353240			−0.176620	+	0.984279i	$0.556516\pi$
$602$	−0.244009	−	0.0757642i	−0.00994507	−	0.00308792i
$603$	5.99205	+	13.8499i	0.244015	+	0.564012i
$604$	−4.69478	−	17.5212i	−0.191028	−	0.712926i
$605$	1.84422	+	0.494158i	0.0749783	+	0.0200904i
$606$	3.74810	−	1.30506i	0.152256	−	0.0530143i
$607$	11.7019	−	20.2683i	0.474965	−	0.822663i	−0.524624	−	0.851334i	$-0.675794\pi$
$607$	11.7019	−	20.2683i	0.474965	−	0.822663i	0.999589	+	0.0286710i	$0.00912751\pi$
$608$	0.214556			0.00870138
$609$	−0.136579	+	0.0851723i	−0.00553444	+	0.00345136i
$610$			6.93213i			0.280674i
$611$	−3.66018	−	6.19228i	−0.148075	−	0.250513i
$612$	−6.71375	−	45.4911i	−0.271387	−	1.83887i
$613$	26.7536	+	7.16861i	1.08057	+	0.289537i	0.754828	−	0.655922i	$-0.227720\pi$
$613$	26.7536	+	7.16861i	1.08057	+	0.289537i	0.325739	+	0.945460i	$0.394387\pi$
$614$	4.41319	+	2.54796i	0.178102	+	0.102827i
$615$	7.93864	−	5.39462i	0.320117	−	0.217532i
$616$	0.334588	−	8.51805i	0.0134809	−	0.343202i
$617$	6.78902	+	6.78902i	0.273316	+	0.273316i	0.830433	−	0.557118i	$-0.188093\pi$
$617$	6.78902	+	6.78902i	0.273316	+	0.273316i	−0.557118	+	0.830433i	$0.688093\pi$
$618$	−1.45055	+	1.68034i	−0.0583498	+	0.0675933i
$619$	9.77385	−	36.4765i	0.392844	−	1.46611i	−0.432577	−	0.901597i	$-0.642396\pi$
$619$	9.77385	−	36.4765i	0.392844	−	1.46611i	0.825421	−	0.564517i	$-0.190938\pi$
$620$	−40.1911	+	23.2044i	−1.61411	+	0.931910i
$621$	−4.49379	+	14.3335i	−0.180329	+	0.575185i
$622$	−3.64317	−	3.64317i	−0.146078	−	0.146078i
$623$	38.2780	+	11.8852i	1.53357	+	0.476170i
$624$	−17.2368	−	14.5742i	−0.690024	−	0.583437i
$625$	−15.5390	+	26.9144i	−0.621561	+	1.07658i
$626$	−1.71572	+	6.40316i	−0.0685740	+	0.255922i
$627$	0.367226	+	0.177542i	0.0146656	+	0.00709036i
$628$	−4.49139	−	2.59310i	−0.179226	−	0.103476i
$629$	51.4046	+	51.4046i	2.04963	+	2.04963i
$630$	−4.59564	+	3.35684i	−0.183095	+	0.133740i
$631$	−1.01075	−	1.01075i	−0.0402374	−	0.0402374i	0.686702	−	0.726939i	$-0.259058\pi$
$631$	−1.01075	−	1.01075i	−0.0402374	−	0.0402374i	−0.726939	+	0.686702i	$0.759058\pi$
$632$	−1.96771	−	7.34360i	−0.0782714	−	0.292113i
$633$	−0.437850	+	0.905643i	−0.0174030	+	0.0359961i
$634$	1.51882	−	0.876893i	0.0603202	−	0.0348259i
$635$	−2.16408	−	8.07647i	−0.0858791	−	0.320505i
$636$	−12.8042	−	18.8424i	−0.507719	−	0.747151i
$637$	16.5874	+	19.0226i	0.657217	+	0.753702i
$638$		−	0.0287597i		−	0.00113861i
$639$	−0.851424	+	7.35338i	−0.0336818	+	0.290895i
$640$	10.5587	+	18.2882i	0.417370	+	0.722905i
$641$	3.32852	+	5.76517i	0.131469	+	0.227711i	0.924243	−	0.381805i	$-0.124697\pi$
$641$	3.32852	+	5.76517i	0.131469	+	0.227711i	−0.792774	+	0.609515i	$0.791364\pi$
$642$	−0.722627	+	0.837103i	−0.0285198	+	0.0330378i
$643$	−16.9839	+	16.9839i	−0.669780	+	0.669780i	−0.957665	−	0.287885i	$-0.907048\pi$
$643$	−16.9839	+	16.9839i	−0.669780	+	0.669780i	0.287885	+	0.957665i	$0.407048\pi$
$644$	−12.5171	−	7.89752i	−0.493243	−	0.311206i
$645$	1.81362	+	0.346044i	0.0714113	+	0.0136255i
$646$	0.0739926	−	0.128159i	0.00291120	−	0.00504235i
$647$	−13.0009	−	22.5183i	−0.511120	−	0.885286i	−0.999917	−	0.0128882i	$-0.995897\pi$
$647$	−13.0009	−	22.5183i	−0.511120	−	0.885286i	0.488797	−	0.872398i	$-0.337436\pi$
$648$	4.75511	+	7.67200i	0.186798	+	0.301385i
$649$	−23.8465	−	13.7678i	−0.936055	−	0.540432i
$650$	1.31535	−	2.33310i	0.0515921	−	0.0915119i
$651$	−11.3881	−	37.3696i	−0.446336	−	1.46463i
$652$	3.16804	−	3.16804i	0.124070	−	0.124070i
$653$	−12.0001	−	6.92828i	−0.469602	−	0.271125i	0.246471	−	0.969150i	$-0.420729\pi$
$653$	−12.0001	−	6.92828i	−0.469602	−	0.271125i	−0.716073	+	0.698025i	$0.754062\pi$
$654$	2.52230	−	5.21708i	0.0986296	−	0.204004i
$655$	40.9471	+	10.9717i	1.59993	+	0.428701i
$656$	6.87702	−	1.84269i	0.268502	−	0.0719450i
$657$	−22.1433	+	9.58012i	−0.863893	+	0.373756i
$658$	−1.34422	−	0.0528007i	−0.0524030	−	0.00205839i
$659$		−	25.9191i		−	1.00966i	−0.863218	−	0.504832i	$-0.831555\pi$
$659$		−	25.9191i		−	1.00966i	0.863218	−	0.504832i	$-0.168445\pi$
$660$	2.21734	+	30.2113i	0.0863097	+	1.17597i
$661$	−7.46215	+	27.8491i	−0.290244	+	1.08320i	0.654678	+	0.755908i	$0.272804\pi$
$661$	−7.46215	+	27.8491i	−0.290244	+	1.08320i	−0.944922	+	0.327297i	$0.893862\pi$
$662$	1.44752	+	2.50718i	0.0562595	+	0.0974443i
$663$	−46.5482	+	16.7441i	−1.80778	+	0.650287i
$664$	−4.91505			−0.190741
$665$	0.545189	+	0.0214150i	0.0211415	+	0.000830437i
$666$	−6.52405	−	2.58367i	−0.252802	−	0.100115i
$667$	−0.0879363	−	0.0507701i	−0.00340491	−	0.00196583i
$668$	9.57341	−	35.7285i	0.370406	−	1.38238i
$669$	−0.0662960	−	0.190401i	−0.00256315	−	0.00736134i
$670$	−3.48379	+	0.933479i	−0.134591	+	0.0360634i
$671$	−21.9632	+	21.9632i	−0.847879	+	0.847879i
$672$	−12.8307	+	3.91006i	−0.494953	+	0.150834i
$673$			4.97327i			0.191705i	0.995396	+	0.0958527i	$0.0305578\pi$
$673$			4.97327i			0.191705i	−0.995396	+	0.0958527i	$0.969442\pi$
$674$	−0.0453753	−	0.169343i	−0.00174779	−	0.00652285i
$675$	11.1494	−	10.2499i	0.429141	−	0.394518i
$676$	−12.1290	+	22.0384i	−0.466498	+	0.847631i
$677$	4.21948	+	2.43612i	0.162168	+	0.0936276i	0.578888	−	0.815407i	$-0.303487\pi$
$677$	4.21948	+	2.43612i	0.162168	+	0.0936276i	−0.416720	+	0.909035i	$0.636820\pi$
$678$	−3.43189	−	0.654813i	−0.131801	−	0.0251479i
$679$	−0.0888863	−	0.392802i	−0.00341114	−	0.0150744i
$680$	22.3495			0.857063
$681$	−9.22512	−	7.96357i	−0.353507	−	0.305165i
$682$	6.74238	+	1.80661i	0.258179	+	0.0691788i
$683$	−7.72004	−	2.06858i	−0.295399	−	0.0791519i	0.108076	−	0.994143i	$-0.465531\pi$
$683$	−7.72004	−	2.06858i	−0.295399	−	0.0791519i	−0.403475	+	0.914991i	$0.632198\pi$
$684$	0.0489436	−	0.422705i	0.00187140	−	0.0161625i
$685$	40.0985			1.53209
$686$	4.67128	−	0.677448i	0.178350	−	0.0258651i
$687$	−0.782005	+	4.09851i	−0.0298354	+	0.156368i
$688$	1.18608	+	0.684781i	0.0452187	+	0.0261070i
$689$	−17.1510	+	17.5059i	−0.653400	+	0.666922i
$690$	−3.23223	−	1.56269i	−0.123049	−	0.0594904i
$691$	−2.85162	−	10.6424i	−0.108481	−	0.404856i	0.890236	−	0.455500i	$-0.150539\pi$
$691$	−2.85162	−	10.6424i	−0.108481	−	0.404856i	−0.998717	+	0.0506439i	$0.983873\pi$
$692$		−	32.9525i		−	1.25267i
$693$	−25.1960	−	3.92491i	−0.957118	−	0.149095i
$694$	0.384429	−	0.384429i	0.0145927	−	0.0145927i
$695$	−44.8670	+	12.0221i	−1.70190	+	0.456023i
$696$	−0.0576205	+	0.0200630i	−0.00218410	+	0.000760484i
$697$	4.03831	−	15.0712i	0.152962	−	0.570861i
$698$	5.91173	+	3.41314i	0.223762	+	0.129189i
$699$	22.9344	+	33.7499i	0.867459	+	1.27654i
$700$	6.94802	+	13.2057i	0.262610	+	0.499128i
$701$	−39.3887			−1.48769			−0.743845	−	0.668352i	$-0.767000\pi$
$701$	−39.3887			−1.48769			−0.743845	+	0.668352i	$0.767000\pi$
$702$	3.48189	−	3.26740i	0.131415	−	0.123320i
$703$	0.336364	+	0.582600i	0.0126862	+	0.0219732i
$704$	−5.39063	+	20.1181i	−0.203167	+	0.758229i
$705$	9.69519	−	0.711572i	0.365142	−	0.0267994i
$706$			3.09796i			0.116593i
$707$	23.7687	+	0.933633i	0.893914	+	0.0351129i
$708$	−5.38389	+	28.2171i	−0.202339	+	1.06046i
$709$	10.8943	−	2.91911i	0.409143	−	0.109630i	−0.0483762	−	0.998829i	$-0.515405\pi$
$709$	10.8943	−	2.91911i	0.409143	−	0.109630i	0.457520	+	0.889200i	$0.348738\pi$
$710$	−1.70894	−	0.457908i	−0.0641352	−	0.0171850i
$711$	−22.4983	+	3.32038i	−0.843752	+	0.124524i
$712$	13.1575	+	7.59651i	0.493099	+	0.284691i
$713$	17.4264	−	17.4264i	0.652625	−	0.652625i
$714$	−2.08927	+	9.01248i	−0.0781891	+	0.337284i
$715$	31.3894	−	8.75627i	1.17390	−	0.327466i
$716$	21.0967	+	12.1802i	0.788420	+	0.455195i
$717$	3.13049	−	1.09001i	0.116910	−	0.0407071i
$718$	−0.747602	−	1.29488i	−0.0279003	−	0.0483247i
$719$	7.72451	−	13.3792i	0.288076	−	0.498962i	−0.685275	−	0.728285i	$-0.740318\pi$
$719$	7.72451	−	13.3792i	0.288076	−	0.498962i	0.973350	+	0.229323i	$0.0736512\pi$
$720$	27.9979	−	12.1131i	1.04342	−	0.451427i
$721$	−11.7743	+	6.19491i	−0.438498	+	0.230711i
$722$	−3.42314	+	3.42314i	−0.127396	+	0.127396i
$723$	−23.0407	−	19.8898i	−0.856892	−	0.739710i
$724$	−11.4873	−	19.8967i	−0.426924	−	0.739453i
$725$	0.0511874	+	0.0886592i	0.00190105	+	0.00329272i
$726$	−0.195766	+	0.226778i	−0.00726554	+	0.00841652i
$727$		−	49.2519i		−	1.82665i	−0.407228	−	0.913327i	$-0.633504\pi$
$727$		−	49.2519i		−	1.82665i	0.407228	−	0.913327i	$-0.366496\pi$
$728$	4.54112	+	8.42062i	0.168305	+	0.312089i
$729$	24.4331	−	11.4901i	0.904931	−	0.425558i
$730$	−1.49245	−	5.56990i	−0.0552380	−	0.206151i
$731$	2.59932	−	1.50072i	0.0961392	−	0.0555060i
$732$	29.1730	+	14.1043i	1.07827	+	0.521309i
$733$	10.8707	+	40.5701i	0.401519	+	1.49849i	0.810386	+	0.585896i	$0.199257\pi$
$733$	10.8707	+	40.5701i	0.401519	+	1.49849i	−0.408867	+	0.912594i	$0.634076\pi$
$734$	5.74644	+	5.74644i	0.212105	+	0.212105i
$735$	−32.9931	+	8.65486i	−1.21697	+	0.319239i
$736$	−5.98327	−	5.98327i	−0.220546	−	0.220546i
$737$	−13.9953	−	8.08020i	−0.515524	−	0.297638i
$738$	0.219887	+	1.48991i	0.00809414	+	0.0548444i
$739$	0.964951	−	3.60124i	0.0354963	−	0.132474i	−0.945904	−	0.324447i	$-0.894822\pi$
$739$	0.964951	−	3.60124i	0.0354963	−	0.132474i	0.981400	+	0.191973i	$0.0614886\pi$
$740$	−24.9804	+	43.2674i	−0.918299	+	1.59054i
$741$	−0.456177	+	0.0381815i	−0.0167581	+	0.00140263i
$742$	1.01158	+	4.47032i	0.0371362	+	0.164111i
$743$	−18.6096	−	18.6096i	−0.682720	−	0.682720i	0.277892	−	0.960612i	$-0.410364\pi$
$743$	−18.6096	−	18.6096i	−0.682720	−	0.682720i	−0.960612	+	0.277892i	$0.910364\pi$
$744$	−1.08395	−	14.7688i	−0.0397394	−	0.541450i
$745$	22.8695	−	13.2037i	0.837874	−	0.483746i
$746$	−0.556509	+	2.07692i	−0.0203752	+	0.0760414i
$747$	−1.69106	+	14.6049i	−0.0618726	+	0.534367i
$748$	34.8207	+	34.8207i	1.27317	+	1.27317i
$749$	−5.86565	+	3.08614i	−0.214326	+	0.112765i
$750$	−1.45559	−	2.14202i	−0.0531506	−	0.0782156i
$751$	−35.5729	−	20.5380i	−1.29807	−	0.749442i	−0.318001	−	0.948090i	$-0.603012\pi$
$751$	−35.5729	−	20.5380i	−1.29807	−	0.749442i	−0.980071	+	0.198648i	$0.936345\pi$
$752$	6.96525	+	1.86633i	0.253997	+	0.0680582i
$753$	−15.9731	+	33.0385i	−0.582091	+	1.20399i
$754$	0.0164237	+	0.0277856i	0.000598116	+	0.00101189i
$755$		−	26.3721i		−	0.959777i
$756$	4.77648	+	26.1701i	0.173719	+	0.951799i
$757$	−1.96778			−0.0715200			−0.0357600	−	0.999360i	$-0.511385\pi$
$757$	−1.96778			−0.0715200			−0.0357600	+	0.999360i	$0.511385\pi$
$758$	1.75938	−	3.04734i	0.0639036	−	0.110684i
$759$	−5.28966	−	15.1918i	−0.192003	−	0.551429i
$760$	0.199772	+	0.0535287i	0.00724648	+	0.00194169i
$761$	−2.94311	−	10.9838i	−0.106688	−	0.398164i	0.891843	−	0.452344i	$-0.149412\pi$
$761$	−2.94311	−	10.9838i	−0.106688	−	0.398164i	−0.998531	+	0.0541801i	$0.982745\pi$
$762$	1.28874	+	0.245895i	0.0466862	+	0.00890785i
$763$	25.5036	−	23.5758i	0.923294	−	0.853502i
$764$	−41.0902			−1.48659
$765$	7.68948	−	66.4108i	0.278014	−	2.40109i
$766$	−1.07462	+	0.620433i	−0.0388276	+	0.0224171i
$767$	30.9011	−	0.316479i	1.11577	−	0.0114274i
$768$	19.0928	−	1.40130i	0.688952	−	0.0505652i
$769$	−9.25147	+	9.25147i	−0.333617	+	0.333617i	−0.853958	−	0.520342i	$-0.825805\pi$
$769$	−9.25147	+	9.25147i	−0.333617	+	0.333617i	0.520342	+	0.853958i	$0.325805\pi$
$770$	1.80723	−	5.82043i	0.0651279	−	0.209754i
$771$	16.3438	+	24.0513i	0.588609	+	0.866188i
$772$	−3.05338	−	11.3954i	−0.109893	−	0.410128i
$773$	−12.3225	+	45.9883i	−0.443211	+	1.65409i	0.277406	+	0.960753i	$0.410525\pi$
$773$	−12.3225	+	45.9883i	−0.443211	+	1.65409i	−0.720617	+	0.693333i	$0.756141\pi$
$774$	−0.172752	+	0.232571i	−0.00620943	+	0.00835959i
$775$	−24.0006	+	6.43095i	−0.862128	+	0.231007i
$776$		−	0.152661i		−	0.00548020i
$777$	−30.7322	−	28.7102i	−1.10251	−	1.02997i
$778$	4.58996	+	4.58996i	0.164558	+	0.164558i
$779$	0.0721933	−	0.125042i	0.00258659	−	0.00448011i
$780$	−19.3949	−	27.9218i	−0.694449	−	0.999760i
$781$	−3.96365	−	6.86525i	−0.141831	−	0.245658i
$782$	−5.63736	+	1.51053i	−0.201592	+	0.0540163i
$783$	0.0397918	+	0.178121i	0.00142204	+	0.00636551i
$784$	−25.2234	−	1.98461i	−0.900837	−	0.0708790i
$785$	−5.33163	−	5.33163i	−0.190294	−	0.190294i
$786$	−4.34656	+	5.03512i	−0.155037	+	0.179597i
$787$	−12.0305	+	44.8985i	−0.428842	+	1.60046i	0.326545	+	0.945181i	$0.394115\pi$
$787$	−12.0305	+	44.8985i	−0.428842	+	1.60046i	−0.755387	+	0.655278i	$0.772551\pi$
$788$	8.57113	+	2.29663i	0.305334	+	0.0818140i
$789$	−3.40877	−	46.4446i	−0.121355	−	1.65347i
$790$		−	5.43540i		−	0.193383i
$791$	−17.7097	−	11.1737i	−0.629685	−	0.397293i
$792$	−8.98694	−	3.55903i	−0.319337	−	0.126465i
$793$	8.67685	−	33.7618i	0.308124	−	1.19892i
$794$	−0.960475	+	0.554531i	−0.0340860	+	0.0196796i
$795$	−10.8911	−	31.2790i	−0.386267	−	1.10935i
$796$	−0.279909	+	0.484817i	−0.00992112	+	0.0171839i
$797$	−34.9166			−1.23681			−0.618405	−	0.785859i	$-0.712221\pi$
$797$	−34.9166			−1.23681			−0.618405	+	0.785859i	$0.712221\pi$
$798$	−0.0402607	+	0.0755546i	−0.00142521	+	0.00267460i
$799$	11.1744	−	11.1744i	0.395322	−	0.395322i
$800$	2.20803	+	8.24049i	0.0780657	+	0.291345i
$801$	27.0997	−	36.4836i	0.957522	−	1.28908i
$802$	4.25411	+	7.36834i	0.150218	+	0.260185i
$803$	12.9187	−	22.3758i	0.455889	−	0.789624i
$804$	−3.15977	+	16.5604i	−0.111436	+	0.584040i
$805$	−14.6064	−	15.8008i	−0.514807	−	0.556903i
$806$	−7.54572	+	2.10493i	−0.265787	+	0.0741428i
$807$	2.22947	+	30.3765i	0.0784810	+	1.06931i
$808$	8.70949	+	2.33370i	0.306399	+	0.0820993i
$809$	33.6608	−	19.4340i	1.18345	−	0.683265i	0.226639	−	0.973979i	$-0.427226\pi$
$809$	33.6608	−	19.4340i	1.18345	−	0.683265i	0.956810	+	0.290714i	$0.0938929\pi$
$810$	1.86413	+	6.17796i	0.0654990	+	0.217071i
$811$	−13.7603	+	13.7603i	−0.483191	+	0.483191i	−0.906149	−	0.422958i	$-0.860992\pi$
$811$	−13.7603	+	13.7603i	−0.483191	+	0.483191i	0.422958	+	0.906149i	$0.360992\pi$
$812$	−0.179685	−	0.00705803i	−0.00630572	−	0.000247688i
$813$	−3.20911	+	16.8190i	−0.112548	+	0.589869i
$814$	7.25844	−	1.94489i	0.254408	−	0.0681685i
$815$	5.64106	−	3.25687i	0.197598	−	0.114083i
$816$	21.5853	−	44.6466i	0.755635	−	1.56294i
$817$	0.0268285	−	0.00718866i	0.000938609	−	0.000251499i
$818$	1.95662			0.0684115
$819$	26.5840	−	10.5966i	0.928921	−	0.370277i
$820$	10.7230			0.374464
$821$	39.3761	−	10.5508i	1.37424	−	0.368226i	0.505213	−	0.862995i	$-0.331414\pi$
$821$	39.3761	−	10.5508i	1.37424	−	0.368226i	0.869024	+	0.494769i	$0.164747\pi$
$822$	−2.73866	+	5.66460i	−0.0955218	+	0.197576i
$823$	19.6164	−	11.3255i	0.683783	−	0.394783i	−0.117496	−	0.993073i	$-0.537487\pi$
$823$	19.6164	−	11.3255i	0.683783	−	0.394783i	0.801279	+	0.598291i	$0.204153\pi$
$824$	−4.87139	+	1.30528i	−0.169703	+	0.0454718i
$825$	−3.03972	+	15.9312i	−0.105830	+	0.554655i
$826$	3.08392	−	4.88783i	0.107303	−	0.170069i
$827$	40.4535	−	40.4535i	1.40670	−	1.40670i	0.630583	−	0.776122i	$-0.282816\pi$
$827$	40.4535	−	40.4535i	1.40670	−	1.40670i	0.776122	−	0.630583i	$-0.217184\pi$
$828$	−13.1528	+	10.4230i	−0.457090	+	0.362224i
$829$	17.0739	−	9.85760i	0.593000	−	0.342369i	−0.173283	−	0.984872i	$-0.555437\pi$
$829$	17.0739	−	9.85760i	0.593000	−	0.342369i	0.766283	+	0.642503i	$0.222104\pi$
$830$	−3.39421	−	0.909475i	−0.117815	−	0.0315683i
$831$	0.945243	+	12.8790i	0.0327901	+	0.446766i
$832$	−6.28074	−	22.5151i	−0.217745	−	0.780571i
$833$	−31.4056	+	45.6974i	−1.08814	+	1.58332i
$834$	1.36601	−	7.15931i	0.0473012	−	0.247907i
$835$	26.8884	−	46.5721i	0.930512	−	1.61169i
$836$	0.227848	+	0.394645i	0.00788030	+	0.0136491i
$837$	−44.2580	−	1.86039i	−1.52978	−	0.0643044i
$838$	−1.20043	−	4.48007i	−0.0414682	−	0.154761i
$839$	22.8553	−	22.8553i	0.789054	−	0.789054i	−0.192285	−	0.981339i	$-0.561590\pi$
$839$	22.8553	−	22.8553i	0.789054	−	0.789054i	0.981339	+	0.192285i	$0.0615900\pi$
$840$	−12.9221	+	0.439562i	−0.445854	+	0.0151663i
$841$	28.9988			0.999957
$842$	2.82686	−	4.89626i	0.0974199	−	0.168736i
$843$	−13.4790	−	38.7115i	−0.464241	−	1.33329i
$844$	−0.973263	+	0.561913i	−0.0335011	+	0.0193419i
$845$	−25.3258	+	26.3852i	−0.871235	+	0.907677i
$846$	−0.561643	+	1.41821i	−0.0193097	+	0.0487591i
$847$	−1.58905	+	0.836061i	−0.0546004	+	0.0287274i
$848$		−	24.5681i		−	0.843673i
$849$	3.18401	+	43.3822i	0.109275	+	1.48887i
$850$	5.68370	+	1.52294i	0.194949	+	0.0522365i
$851$	6.86673	−	25.6270i	0.235388	−	0.878481i
$852$	−5.40409	+	6.26018i	−0.185141	+	0.214470i
$853$	7.93126	+	7.93126i	0.271561	+	0.271561i	0.829728	−	0.558167i	$-0.188495\pi$
$853$	7.93126	+	7.93126i	0.271561	+	0.271561i	−0.558167	+	0.829728i	$0.688495\pi$
$854$	−4.42534	−	4.78721i	−0.151432	−	0.163815i
$855$	0.227792	−	0.575199i	0.00779031	−	0.0196714i
$856$	−2.42680	+	0.650259i	−0.0829463	+	0.0222254i
$857$	−1.60609	−	2.78183i	−0.0548630	−	0.0950255i	0.837290	−	0.546760i	$-0.184139\pi$
$857$	−1.60609	−	2.78183i	−0.0548630	−	0.0950255i	−0.892153	+	0.451734i	$0.850806\pi$
$858$	−0.906869	+	5.03233i	−0.0309600	+	0.171801i
$859$	−12.6207	+	21.8597i	−0.430612	+	0.745842i	−0.996926	−	0.0783473i	$-0.975036\pi$
$859$	−12.6207	+	21.8597i	−0.430612	+	0.745842i	0.566314	+	0.824190i	$0.308369\pi$
$860$	1.45857	+	1.45857i	0.0497368	+	0.0497368i
$861$	−2.03847	+	8.79332i	−0.0694707	+	0.299675i
$862$		−	0.963232i		−	0.0328078i
$863$	30.0171	−	8.04307i	1.02180	−	0.273789i	0.291245	−	0.956648i	$-0.405930\pi$
$863$	30.0171	−	8.04307i	1.02180	−	0.273789i	0.730550	+	0.682859i	$0.239264\pi$
$864$	−0.638754	+	15.1957i	−0.0217309	+	0.516969i
$865$	12.3997	−	46.2761i	0.421601	−	1.57344i
$866$	0.727347	+	2.71449i	0.0247162	+	0.0922423i
$867$	−44.5338	−	65.5352i	−1.51245	−	2.22569i
$868$	12.9421	−	41.6818i	0.439283	−	1.41477i
$869$	17.2211	−	17.2211i	0.584185	−	0.584185i
$870$	−0.0435036	+	0.00319292i	−0.00147491	+	0.000108250i
$871$	18.1356	−	0.185739i	0.614503	−	0.00629354i
$872$	11.4014	−	6.58261i	0.386101	−	0.222915i
$873$	−0.453626	−	0.0525239i	−0.0153529	−	0.00177766i
$874$	−0.0540077			−0.00182684
$875$	−3.42579	−	15.1391i	−0.115813	−	0.511795i
$876$	−26.4768	−	5.05185i	−0.894569	−	0.170686i
$877$	−9.65506	−	36.0332i	−0.326028	−	1.21675i	−0.913274	−	0.407345i	$-0.866455\pi$
$877$	−9.65506	−	36.0332i	−0.326028	−	1.21675i	0.587246	−	0.809408i	$-0.300212\pi$
$878$	6.75099	+	1.80892i	0.227835	+	0.0610482i
$879$	6.55130	+	18.8152i	0.220970	+	0.634622i
$880$	−16.3343	+	28.2918i	−0.550629	+	0.953717i
$881$	5.16207			0.173915			0.0869574	−	0.996212i	$-0.472286\pi$
$881$	5.16207			0.173915			0.0869574	+	0.996212i	$0.472286\pi$
$882$	1.03073	−	5.25195i	0.0347064	−	0.176842i
$883$			23.2348i			0.781912i	0.920409	+	0.390956i	$0.127855\pi$
$883$			23.2348i			0.781912i	−0.920409	+	0.390956i	$0.872145\pi$
$884$	−53.5263	−	13.7564i	−1.80028	−	0.462677i
$885$	−18.1785	+	37.6001i	−0.611064	+	1.26391i
$886$	−0.599892	−	0.160741i	−0.0201538	−	0.00540019i
$887$	−9.69044	−	5.59478i	−0.325373	−	0.187854i	0.328412	−	0.944535i	$-0.393487\pi$
$887$	−9.69044	−	5.59478i	−0.325373	−	0.187854i	−0.653785	+	0.756680i	$0.726820\pi$
$888$	−8.96017	−	13.1857i	−0.300684	−	0.442481i
$889$	6.65035	+	4.19597i	0.223046	+	0.140728i
$890$	7.68060	+	7.68060i	0.257454	+	0.257454i
$891$	−13.6676	+	25.4799i	−0.457881	+	0.853609i
$892$	0.0582969	−	0.217567i	0.00195192	−	0.00728468i
$893$	0.126647	−	0.0731195i	0.00423807	−	0.00244685i
$894$	0.303302	+	4.13250i	0.0101439	+	0.138211i
$895$	25.0434	+	25.0434i	0.837109	+	0.837109i
$896$	−18.9665	−	5.88905i	−0.633627	−	0.196739i
$897$	13.7861	+	11.6565i	0.460303	+	0.389201i
$898$	1.31262	−	2.27353i	0.0438028	−	0.0758687i
$899$	0.0774991	−	0.289231i	0.00258474	−	0.00964638i
$900$	16.7386	−	2.47035i	0.557954	−	0.0823449i
$901$	−46.6283	−	26.9209i	−1.55341	−	0.896864i
$902$	−1.14044	−	1.14044i	−0.0379724	−	0.0379724i
$903$	−1.47336	+	0.918811i	−0.0490305	+	0.0305761i
$904$	−5.61270	−	5.61270i	−0.186676	−	0.186676i
$905$	−8.64511	−	32.2640i	−0.287373	−	1.07249i
$906$	3.72550	+	1.80117i	0.123772	+	0.0598397i
$907$	−20.9166	+	12.0762i	−0.694524	+	0.400984i	−0.805305	−	0.592861i	$-0.797998\pi$
$907$	−20.9166	+	12.0762i	−0.694524	+	0.400984i	0.110780	+	0.993845i	$0.464665\pi$
$908$	−3.52388	−	13.1513i	−0.116944	−	0.436441i
$909$	9.93109	−	25.0771i	0.329393	−	0.831754i
$910$	1.57784	+	6.65534i	0.0523049	+	0.220622i
$911$			21.5718i			0.714706i	0.933969	+	0.357353i	$0.116321\pi$
$911$			21.5718i			0.714706i	−0.933969	+	0.357353i	$0.883679\pi$
$912$	0.299873	−	0.347377i	0.00992978	−	0.0115028i
$913$	−7.87242	−	13.6354i	−0.260539	−	0.451267i
$914$	0.667916	+	1.15686i	0.0220927	+	0.0382657i
$915$	35.6612	+	30.7845i	1.17892	+	1.01770i
$916$	−3.29614	+	3.29614i	−0.108908	+	0.108908i
$917$	−35.2815	+	18.5630i	−1.16510	+	0.613003i
$918$	8.85648	+	5.62201i	0.292307	+	0.185554i
$919$	−14.1452	+	24.5003i	−0.466608	+	0.808189i	−0.999273	−	0.0381373i	$-0.987858\pi$
$919$	−14.1452	+	24.5003i	−0.466608	+	0.808189i	0.532664	+	0.846327i	$0.321191\pi$
$920$	−4.07825	−	7.06374i	−0.134456	−	0.232885i
$921$	32.7059	−	11.3879i	1.07769	−	0.375244i
$922$	−7.40135	−	4.27317i	−0.243751	−	0.140729i
$923$	7.74993	+	4.36922i	0.255092	+	0.143814i
$924$	−20.8176	−	19.4479i	−0.684848	−	0.639788i
$925$	−18.9145	+	18.9145i	−0.621904	+	0.621904i
$926$	2.80382	+	1.61879i	0.0921392	+	0.0531966i
$927$	2.20258	+	14.9243i	0.0723423	+	0.490178i
$928$	−0.0993058	−	0.0266089i	−0.00325987	−	0.000873480i
$929$	−0.800524	+	0.214500i	−0.0262643	+	0.00703751i	−0.271927	−	0.962318i	$-0.587661\pi$
$929$	−0.800524	+	0.214500i	−0.0262643	+	0.00703751i	0.245663	+	0.969355i	$0.420994\pi$
$930$	1.98425	−	10.3995i	0.0650662	−	0.341013i
$931$	−0.390169	+	0.333249i	−0.0127873	+	0.0109218i
$932$			45.5872i			1.49326i
$933$	−34.9205	+	2.56297i	−1.14325	+	0.0839078i
$934$	0.718237	−	2.68050i	0.0235014	−	0.0877085i
$935$	35.7970	+	62.0023i	1.17069	+	2.02769i
$936$	10.7150	−	1.69366i	0.350231	−	0.0553590i
$937$	38.9669			1.27299			0.636496	−	0.771280i	$-0.280383\pi$
$937$	38.9669			1.27299			0.636496	+	0.771280i	$0.280383\pi$
$938$	1.80993	−	2.86863i	0.0590963	−	0.0936641i
$939$	25.3208	+	37.2617i	0.826314	+	1.21599i
$940$	9.40554	+	5.43029i	0.306775	+	0.177117i
$941$	−2.64634	+	9.87626i	−0.0862681	+	0.321957i	−0.995551	−	0.0942210i	$-0.969964\pi$
$941$	−2.64634	+	9.87626i	−0.0862681	+	0.321957i	0.909283	+	0.416178i	$0.136631\pi$
$942$	1.11732	−	0.389042i	0.0364044	−	0.0126757i
$943$	−5.50027	+	1.47379i	−0.179113	+	0.0479933i
$944$	−21.9057	+	21.9057i	−0.712969	+	0.712969i
$945$	−3.13978	+	38.5488i	−0.102137	+	1.25399i
$946$		−	0.310250i		−	0.0100871i
$947$	−0.595716	−	2.22324i	−0.0193582	−	0.0722457i	0.955571	−	0.294761i	$-0.0952400\pi$
$947$	−0.595716	−	2.22324i	−0.0193582	−	0.0722457i	−0.974929	+	0.222515i	$0.928573\pi$
$948$	−22.8742	−	11.0590i	−0.742921	−	0.359179i
$949$	0.296961	+	28.9953i	0.00963976	+	0.941229i
$950$	0.0471565	+	0.0272258i	0.00152996	+	0.000883322i
$951$	2.23382	−	11.7075i	0.0724366	−	0.379642i
$952$	−15.4342	+	14.2675i	−0.500224	+	0.462412i
$953$	10.6438			0.344786			0.172393	−	0.985028i	$-0.444850\pi$
$953$	10.6438			0.344786			0.172393	+	0.985028i	$0.444850\pi$
$954$	5.16254	+	0.597753i	0.167143	+	0.0193530i
$955$	−57.7041	−	15.4618i	−1.86726	−	0.500331i
$956$	3.57713	+	0.958489i	0.115693	+	0.0309998i
$957$	−0.147950	−	0.127717i	−0.00478253	−	0.00412851i
$958$	1.06722			0.0344804
$959$	−27.6914	+	25.5982i	−0.894201	+	0.826608i
$960$	31.0303	+	5.92067i	1.00150	+	0.191089i
$961$	36.0917	+	20.8376i	1.16425	+	0.672180i
$962$	−5.90194	+	6.02408i	−0.190286	+	0.194224i
$963$	1.09727	+	7.43489i	0.0353590	+	0.239586i
$964$	−8.80124	−	32.8467i	−0.283469	−	1.05792i
$965$		−	17.1518i		−	0.552135i
$966$	3.22972	−	0.984234i	0.103914	−	0.0316672i
$967$	−13.4449	+	13.4449i	−0.432359	+	0.432359i	−0.889430	−	0.457071i	$-0.848898\pi$
$967$	−13.4449	+	13.4449i	−0.432359	+	0.432359i	0.457071	+	0.889430i	$0.348898\pi$
$968$	−0.657439	+	0.176160i	−0.0211309	+	0.00566201i
$969$	−0.330704	−	0.949778i	−0.0106237	−	0.0305113i
$970$	0.0282481	−	0.105423i	0.000906992	−	0.00338494i
$971$	52.4109	+	30.2594i	1.68195	+	0.971072i	0.960367	+	0.278739i	$0.0899165\pi$
$971$	52.4109	+	30.2594i	1.68195	+	0.971072i	0.721579	+	0.692332i	$0.243417\pi$
$972$	29.7920	+	4.72483i	0.955579	+	0.151549i
$973$	23.3097	−	36.9445i	0.747275	−	1.18439i
$974$	−0.397388			−0.0127331
$975$	−6.16105	−	17.1276i	−0.197311	−	0.548521i
$976$	17.4727	+	30.2635i	0.559286	+	0.968712i
$977$	−13.7503	+	51.3168i	−0.439911	+	1.64177i	0.289123	+	0.957292i	$0.406636\pi$
$977$	−13.7503	+	51.3168i	−0.439911	+	1.64177i	−0.729034	+	0.684478i	$0.760030\pi$
$978$	0.0748134	+	1.01933i	0.00239227	+	0.0325947i
$979$			48.6692i			1.55547i
$980$	−35.9215	−	12.7196i	−1.14747	−	0.406314i
$981$	−15.6373	−	36.1438i	−0.499261	−	1.15398i
$982$	−2.89212	+	0.774941i	−0.0922912	+	0.0247294i
$983$	−43.1202	−	11.5540i	−1.37532	−	0.368516i	−0.505901	−	0.862592i	$-0.668840\pi$
$983$	−43.1202	−	11.5540i	−1.37532	−	0.368516i	−0.869419	+	0.494076i	$0.835506\pi$
$984$	−1.48931	+	3.08046i	−0.0474775	+	0.0982016i
$985$	11.1725	+	6.45044i	0.355985	+	0.205528i
$986$	−0.0501411	+	0.0501411i	−0.00159682	+	0.00159682i
$987$	−6.24108	+	6.68063i	−0.198656	+	0.212647i
$988$	−0.445500	−	0.251162i	−0.0141732	−	0.00799052i
$989$	−0.948628	−	0.547691i	−0.0301646	−	0.0174156i
$990$	−5.54758	−	4.12070i	−0.176314	−	0.130964i
$991$	22.5217	+	39.0087i	0.715426	+	1.23915i	0.962795	+	0.270232i	$0.0871006\pi$
$991$	22.5217	+	39.0087i	0.715426	+	1.23915i	−0.247369	+	0.968921i	$0.579566\pi$
$992$	12.4763	−	21.6096i	0.396123	−	0.686106i
$993$	19.3260	+	3.68745i	0.613292	+	0.117018i
$994$	1.47248	−	0.774729i	0.0467043	−	0.0245729i
$995$	−0.575516	+	0.575516i	−0.0182451	+	0.0182451i
$996$	−10.7334	+	12.4337i	−0.340099	+	0.393976i
$997$	10.0403	+	17.3904i	0.317981	+	0.550759i	0.980067	−	0.198669i	$-0.0636619\pi$
$997$	10.0403	+	17.3904i	0.317981	+	0.550759i	−0.662086	+	0.749428i	$0.730329\pi$
$998$	−2.01642	−	3.49254i	−0.0638286	−	0.110554i
$999$	−42.2636	+	22.0883i	−1.33716	+	0.698842i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.cd.e.44.14	✓	112
3.2	odd	2	inner	273.2.cd.e.44.15	yes	112
7.4	even	3	inner	273.2.cd.e.200.15	yes	112
13.8	odd	4	inner	273.2.cd.e.86.14	yes	112
21.11	odd	6	inner	273.2.cd.e.200.14	yes	112
39.8	even	4	inner	273.2.cd.e.86.15	yes	112
91.60	odd	12	inner	273.2.cd.e.242.15	yes	112
273.242	even	12	inner	273.2.cd.e.242.14	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.cd.e.44.14	✓	112	1.1	even	1	trivial
273.2.cd.e.44.15	yes	112	3.2	odd	2	inner
273.2.cd.e.86.14	yes	112	13.8	odd	4	inner
273.2.cd.e.86.15	yes	112	39.8	even	4	inner
273.2.cd.e.200.14	yes	112	21.11	odd	6	inner
273.2.cd.e.200.15	yes	112	7.4	even	3	inner
273.2.cd.e.242.14	yes	112	273.242	even	12	inner
273.2.cd.e.242.15	yes	112	91.60	odd	12	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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.cd (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.246180 + 0.0659636i) q^{2} +(-0.753906 + 1.55937i) q^{3} +(-1.67580 + 0.967522i) q^{4} +(-2.71744 + 0.728135i) q^{5} +(0.0827348 - 0.433615i) q^{6} +(1.41179 - 2.23760i) q^{7} +(0.709158 - 0.709158i) q^{8} +(-1.86325 - 2.35123i) q^{9} +O(q^{10})\)	\(q+(-0.246180 + 0.0659636i) q^{2} +(-0.753906 + 1.55937i) q^{3} +(-1.67580 + 0.967522i) q^{4} +(-2.71744 + 0.728135i) q^{5} +(0.0827348 - 0.433615i) q^{6} +(1.41179 - 2.23760i) q^{7} +(0.709158 - 0.709158i) q^{8} +(-1.86325 - 2.35123i) q^{9} +(0.620947 - 0.358504i) q^{10} +(3.10321 + 0.831504i) q^{11} +(-0.245328 - 3.34260i) q^{12} +(-3.47296 + 0.968803i) q^{13} +(-0.199953 + 0.643978i) q^{14} +(0.913262 - 4.78643i) q^{15} +(1.80724 - 3.13024i) q^{16} +(-3.96062 - 6.86000i) q^{17} +(0.613790 + 0.455919i) q^{18} +(-0.0189720 - 0.0708044i) q^{19} +(3.84939 - 3.84939i) q^{20} +(2.42488 + 3.88844i) q^{21} -0.818797 q^{22} +(-1.44544 + 2.50358i) q^{23} +(0.571199 + 1.64048i) q^{24} +(2.52416 - 1.45732i) q^{25} +(0.791065 - 0.467588i) q^{26} +(5.07115 - 1.13288i) q^{27} +(-0.200944 + 5.11570i) q^{28} +0.0351243i q^{29} +(0.0909036 + 1.23856i) q^{30} +(-8.23449 - 2.20642i) q^{31} +(-0.757564 + 2.82727i) q^{32} +(-3.63615 + 4.21217i) q^{33} +(1.42753 + 1.42753i) q^{34} +(-2.20717 + 7.10851i) q^{35} +(5.39730 + 2.13745i) q^{36} +(-8.86476 + 2.37531i) q^{37} +(0.00934103 + 0.0161791i) q^{38} +(1.10756 - 6.14600i) q^{39} +(-1.41073 + 2.44345i) q^{40} +(1.39282 + 1.39282i) q^{41} +(-0.853452 - 0.797300i) q^{42} +0.378909i q^{43} +(-6.00486 + 1.60900i) q^{44} +(6.77528 + 5.03263i) q^{45} +(0.190693 - 0.711676i) q^{46} +(0.516348 + 1.92704i) q^{47} +(3.51870 + 5.17806i) q^{48} +(-3.01371 - 6.31804i) q^{49} +(-0.525266 + 0.525266i) q^{50} +(13.6832 - 1.00427i) q^{51} +(4.88263 - 4.98368i) q^{52} +(5.88649 - 3.39856i) q^{53} +(-1.17368 + 0.613405i) q^{54} -9.03824 q^{55} +(-0.585631 - 2.58799i) q^{56} +(0.124713 + 0.0237956i) q^{57} +(-0.00231692 - 0.00864688i) q^{58} +(-8.27883 - 2.21831i) q^{59} +(3.10053 + 8.90469i) q^{60} +(-4.83406 + 8.37284i) q^{61} +2.17271 q^{62} +(-7.89163 + 0.849768i) q^{63} +6.48298i q^{64} +(8.73212 - 5.16144i) q^{65} +(0.617296 - 1.27681i) q^{66} +(-4.85879 - 1.30191i) q^{67} +(13.2744 + 7.66398i) q^{68} +(-2.81427 - 4.14143i) q^{69} +(0.0744576 - 1.89556i) q^{70} +(-1.74479 - 1.74479i) q^{71} +(-2.98873 - 0.346056i) q^{72} +(2.08150 - 7.76825i) q^{73} +(2.02564 - 1.16950i) q^{74} +(0.369524 + 5.03477i) q^{75} +(0.100298 + 0.100298i) q^{76} +(6.24166 - 5.76984i) q^{77} +(0.132753 + 1.58608i) q^{78} +(3.79033 - 6.56505i) q^{79} +(-2.63183 + 9.82214i) q^{80} +(-2.05659 + 8.76187i) q^{81} +(-0.434759 - 0.251008i) q^{82} +(-3.46542 - 3.46542i) q^{83} +(-7.82576 - 4.17010i) q^{84} +(15.7578 + 15.7578i) q^{85} +(-0.0249942 - 0.0932797i) q^{86} +(-0.0547716 - 0.0264804i) q^{87} +(2.79034 - 1.61100i) q^{88} +(3.92087 + 14.6329i) q^{89} +(-1.99991 - 0.792008i) q^{90} +(-2.73529 + 9.13883i) q^{91} -5.59398i q^{92} +(9.64866 - 11.1772i) q^{93} +(-0.254229 - 0.440337i) q^{94} +(0.103110 + 0.178592i) q^{95} +(-3.83762 - 3.31281i) q^{96} +(0.107635 - 0.107635i) q^{97} +(1.15867 + 1.35658i) q^{98} +(-3.82701 - 8.84568i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) \) 112 * q - 12 * q^3 - 8 * q^6 - 4 * q^7 + 8 * q^9	\( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9} - 48 q^{13} - 12 q^{15} + 40 q^{16} - 26 q^{18} + 40 q^{19} - 10 q^{21} + 16 q^{22} + 32 q^{24} - 24 q^{27} - 52 q^{28} - 12 q^{31} - 44 q^{33} + 16 q^{34} - 8 q^{37} - 42 q^{39} - 160 q^{40} - 80 q^{42} + 6 q^{45} + 32 q^{46} + 72 q^{48} - 12 q^{52} + 34 q^{54} - 48 q^{55} - 24 q^{57} - 28 q^{58} + 44 q^{60} + 78 q^{63} + 4 q^{66} + 24 q^{67} - 12 q^{70} - 26 q^{72} - 40 q^{73} + 112 q^{76} + 32 q^{78} + 48 q^{79} + 128 q^{81} - 150 q^{84} + 160 q^{85} - 48 q^{87} + 24 q^{91} + 10 q^{93} - 8 q^{94} - 106 q^{96} + 56 q^{97} - 36 q^{99}+O(q^{100}) \) 112 * q - 12 * q^3 - 8 * q^6 - 4 * q^7 + 8 * q^9 - 48 * q^13 - 12 * q^15 + 40 * q^16 - 26 * q^18 + 40 * q^19 - 10 * q^21 + 16 * q^22 + 32 * q^24 - 24 * q^27 - 52 * q^28 - 12 * q^31 - 44 * q^33 + 16 * q^34 - 8 * q^37 - 42 * q^39 - 160 * q^40 - 80 * q^42 + 6 * q^45 + 32 * q^46 + 72 * q^48 - 12 * q^52 + 34 * q^54 - 48 * q^55 - 24 * q^57 - 28 * q^58 + 44 * q^60 + 78 * q^63 + 4 * q^66 + 24 * q^67 - 12 * q^70 - 26 * q^72 - 40 * q^73 + 112 * q^76 + 32 * q^78 + 48 * q^79 + 128 * q^81 - 150 * q^84 + 160 * q^85 - 48 * q^87 + 24 * q^91 + 10 * q^93 - 8 * q^94 - 106 * q^96 + 56 * q^97 - 36 * q^99

Introduction

L-functions

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