LMFDB - Embedded newform 230.2.l.a.113.4

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [230,2,Mod(7,230)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("230.7"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(230, base_ring=CyclotomicField(44)) chi = DirichletCharacter(H, H._module([11, 38])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 230 = 2 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	230.l (of order $44$, degree $20$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$1.83655924649$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$12$ over $\Q(\zeta_{44})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label			113.4
Character	$\chi$	$=$	230.113
Dual form			230.2.l.a.57.4

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.977147 + 0.212565i) q^{2} +(0.157878 - 0.210900i) q^{3} +(0.909632 - 0.415415i) q^{4} +(2.21166 - 0.329456i) q^{5} +(-0.109440 + 0.239640i) q^{6} +(-0.128723 + 0.00920642i) q^{7} +(-0.800541 + 0.599278i) q^{8} +(0.825644 + 2.81189i) q^{9} +(-2.09109 + 0.792050i) q^{10} +(-0.320947 - 0.499403i) q^{11} +(0.0559997 - 0.257426i) q^{12} +(0.477212 - 6.67230i) q^{13} +(0.123824 - 0.0363580i) q^{14} +(0.279690 - 0.518454i) q^{15} +(0.654861 - 0.755750i) q^{16} +(3.30878 - 1.23411i) q^{17} +(-1.40449 - 2.57212i) q^{18} +(3.16720 + 6.93520i) q^{19} +(1.87494 - 1.21844i) q^{20} +(-0.0183808 + 0.0286011i) q^{21} +(0.419768 + 0.419768i) q^{22} +(0.464439 + 4.77329i) q^{23} +0.263447i q^{24} +(4.78292 - 1.45729i) q^{25} +(0.951992 + 6.62125i) q^{26} +(1.46389 + 0.546002i) q^{27} +(-0.113266 + 0.0618477i) q^{28} +(-3.04513 - 1.39067i) q^{29} +(-0.163093 + 0.566058i) q^{30} +(0.918589 - 6.38893i) q^{31} +(-0.479249 + 0.877679i) q^{32} +(-0.155995 - 0.0111570i) q^{33} +(-2.97084 + 1.90924i) q^{34} +(-0.281658 + 0.0627700i) q^{35} +(1.91913 + 2.21480i) q^{36} +(-6.62864 - 3.61951i) q^{37} +(-4.56900 - 6.10347i) q^{38} +(-1.33185 - 1.15405i) q^{39} +(-1.57309 + 1.58914i) q^{40} +(8.46025 + 2.48415i) q^{41} +(0.0118811 - 0.0318546i) q^{42} +(-9.33381 - 6.98721i) q^{43} +(-0.499403 - 0.320947i) q^{44} +(2.75244 + 5.94693i) q^{45} +(-1.46846 - 4.56548i) q^{46} +(-7.26872 + 7.26872i) q^{47} +(-0.0559997 - 0.257426i) q^{48} +(-6.91227 + 0.993834i) q^{49} +(-4.36384 + 2.44067i) q^{50} +(0.262109 - 0.892662i) q^{51} +(-2.33768 - 6.26758i) q^{52} +(0.387357 + 5.41595i) q^{53} +(-1.54649 - 0.222352i) q^{54} +(-0.874359 - 0.998775i) q^{55} +(0.0975305 - 0.0845107i) q^{56} +(1.96266 + 0.426952i) q^{57} +(3.27115 + 0.711595i) q^{58} +(-8.56443 + 7.42112i) q^{59} +(0.0390417 - 0.587790i) q^{60} +(-3.26718 - 0.469749i) q^{61} +(0.460468 + 6.43818i) q^{62} +(-0.132166 - 0.354352i) q^{63} +(0.281733 - 0.959493i) q^{64} +(-1.14280 - 14.9141i) q^{65} +(0.154801 - 0.0222571i) q^{66} +(-1.20124 - 5.52199i) q^{67} +(2.49711 - 2.49711i) q^{68} +(1.08001 + 0.655647i) q^{69} +(0.261878 - 0.121206i) q^{70} +(-2.50826 - 1.61196i) q^{71} +(-2.34606 - 1.75624i) q^{72} +(0.0488904 - 0.131080i) q^{73} +(7.24654 + 2.12778i) q^{74} +(0.447773 - 1.23879i) q^{75} +(5.76197 + 4.99278i) q^{76} +(0.0459109 + 0.0613297i) q^{77} +(1.54672 + 0.844574i) q^{78} +(2.30971 + 2.66555i) q^{79} +(1.19935 - 1.88721i) q^{80} +(-7.04985 + 4.53067i) q^{81} +(-8.79495 - 0.629027i) q^{82} +(-0.134648 + 0.246590i) q^{83} +(-0.00483845 + 0.0336521i) q^{84} +(6.91133 - 3.81954i) q^{85} +(10.6057 + 4.84348i) q^{86} +(-0.774050 + 0.422663i) q^{87} +(0.556213 + 0.207457i) q^{88} +(-0.270692 - 1.88270i) q^{89} +(-3.95365 - 5.22595i) q^{90} +0.863268i q^{91} +(2.40537 + 4.14900i) q^{92} +(-1.20240 - 1.20240i) q^{93} +(5.55753 - 8.64768i) q^{94} +(9.28962 + 14.2949i) q^{95} +(0.109440 + 0.239640i) q^{96} +(5.06923 + 9.28359i) q^{97} +(6.54304 - 2.44043i) q^{98} +(1.13928 - 1.31480i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46}+ \cdots + 24 q^{98}+O(q^{100}) $ 240 * q - 8 * q^3 - 8 * q^6 - 8 * q^12 + 16 * q^13 + 24 * q^16 - 72 * q^18 - 80 * q^23 - 8 * q^26 + 16 * q^27 - 44 * q^28 + 24 * q^31 - 44 * q^33 - 8 * q^35 - 32 * q^36 - 88 * q^37 - 24 * q^41 - 8 * q^46 - 80 * q^47 + 8 * q^48 + 8 * q^50 + 16 * q^52 - 44 * q^56 - 88 * q^57 - 176 * q^61 - 32 * q^62 - 176 * q^66 + 24 * q^70 - 336 * q^71 + 16 * q^72 - 88 * q^73 - 36 * q^75 - 24 * q^77 + 40 * q^78 - 136 * q^81 + 40 * q^82 - 100 * q^85 - 44 * q^86 + 40 * q^87 + 8 * q^92 + 56 * q^93 + 52 * q^95 + 8 * q^96 + 132 * q^97 + 24 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{13}{22}\right)$

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 $

$2$	−0.977147	+	0.212565i	−0.690947	+	0.150306i
$2$	−0.977147	+	0.212565i	−0.690947	+	0.150306i
$3$	0.157878	−	0.210900i	0.0911508	−	0.121763i	−0.752647	−	0.658424i	$-0.771223\pi$
$3$	0.157878	−	0.210900i	0.0911508	−	0.121763i	0.843798	+	0.536661i	$0.180314\pi$
$4$	0.909632	−	0.415415i	0.454816	−	0.207708i
$5$	2.21166	−	0.329456i	0.989086	−	0.147337i
$5$	2.21166	−	0.329456i	0.989086	−	0.147337i
$6$	−0.109440	+	0.239640i	−0.0446786	+	0.0978325i
$7$	−0.128723	+	0.00920642i	−0.0486526	+	0.00347970i	−0.0956442	−	0.995416i	$-0.530491\pi$
$7$	−0.128723	+	0.00920642i	−0.0486526	+	0.00347970i	0.0469917	+	0.998895i	$0.485037\pi$
$8$	−0.800541	+	0.599278i	−0.283034	+	0.211877i
$9$	0.825644	+	2.81189i	0.275215	+	0.937295i
$10$	−2.09109	+	0.792050i	−0.661261	+	0.250468i
$11$	−0.320947	−	0.499403i	−0.0967692	−	0.150576i	0.789493	−	0.613759i	$-0.210343\pi$
$11$	−0.320947	−	0.499403i	−0.0967692	−	0.150576i	−0.886262	+	0.463183i	$0.846707\pi$
$12$	0.0559997	−	0.257426i	0.0161657	−	0.0743126i
$13$	0.477212	−	6.67230i	0.132355	−	1.85056i	−0.306335	−	0.951924i	$-0.599103\pi$
$13$	0.477212	−	6.67230i	0.132355	−	1.85056i	0.438690	−	0.898638i	$-0.355443\pi$
$14$	0.123824	−	0.0363580i	0.0330933	−	0.00971708i
$15$	0.279690	−	0.518454i	0.0722158	−	0.133864i
$16$	0.654861	−	0.755750i	0.163715	−	0.188937i
$17$	3.30878	−	1.23411i	0.802498	−	0.299316i	0.0854519	−	0.996342i	$-0.472767\pi$
$17$	3.30878	−	1.23411i	0.802498	−	0.299316i	0.717046	+	0.697026i	$0.245494\pi$
$18$	−1.40449	−	2.57212i	−0.331040	−	0.606255i
$19$	3.16720	+	6.93520i	0.726605	+	1.59104i	0.804410	+	0.594075i	$0.202482\pi$
$19$	3.16720	+	6.93520i	0.726605	+	1.59104i	−0.0778047	+	0.996969i	$0.524791\pi$
$20$	1.87494	−	1.21844i	0.419249	−	0.272452i
$21$	−0.0183808	+	0.0286011i	−0.00401102	+	0.00624127i
$22$	0.419768	+	0.419768i	0.0894949	+	0.0894949i
$23$	0.464439	+	4.77329i	0.0968423	+	0.995300i
$23$	0.464439	+	4.77329i	0.0968423	+	0.995300i
$24$			0.263447i			0.0537759i
$25$	4.78292	−	1.45729i	0.956583	−	0.291459i
$26$	0.951992	+	6.62125i	0.186701	+	1.29853i
$27$	1.46389	+	0.546002i	0.281725	+	0.105078i
$28$	−0.113266	+	0.0618477i	−0.0214052	+	0.0116881i
$29$	−3.04513	−	1.39067i	−0.565467	−	0.258240i	0.112105	−	0.993696i	$-0.464241\pi$
$29$	−3.04513	−	1.39067i	−0.565467	−	0.258240i	−0.677572	+	0.735456i	$0.736968\pi$
$30$	−0.163093	+	0.566058i	−0.0297766	+	0.103348i
$31$	0.918589	−	6.38893i	0.164984	−	1.14749i	−0.724085	−	0.689711i	$-0.757738\pi$
$31$	0.918589	−	6.38893i	0.164984	−	1.14749i	0.889068	−	0.457775i	$-0.151353\pi$
$32$	−0.479249	+	0.877679i	−0.0847201	+	0.155153i
$33$	−0.155995	−	0.0111570i	−0.0271552	−	0.00194218i
$34$	−2.97084	+	1.90924i	−0.509494	+	0.327432i
$35$	−0.281658	+	0.0627700i	−0.0476089	+	0.0106101i
$36$	1.91913	+	2.21480i	0.319855	+	0.369133i
$37$	−6.62864	−	3.61951i	−1.08974	−	0.595044i	−0.169158	−	0.985589i	$-0.554105\pi$
$37$	−6.62864	−	3.61951i	−1.08974	−	0.595044i	−0.920584	+	0.390545i	$0.872287\pi$
$38$	−4.56900	−	6.10347i	−0.741190	−	0.990114i
$39$	−1.33185	−	1.15405i	−0.213266	−	0.184796i
$40$	−1.57309	+	1.58914i	−0.248728	+	0.251266i
$41$	8.46025	+	2.48415i	1.32127	+	0.387960i	0.864951	−	0.501857i	$-0.167350\pi$
$41$	8.46025	+	2.48415i	1.32127	+	0.387960i	0.456319	+	0.889816i	$0.349168\pi$
$42$	0.0118811	−	0.0318546i	0.00183330	−	0.00491527i
$43$	−9.33381	−	6.98721i	−1.42339	−	1.06554i	−0.986088	−	0.166226i	$-0.946842\pi$
$43$	−9.33381	−	6.98721i	−1.42339	−	1.06554i	−0.437306	−	0.899313i	$-0.644067\pi$
$44$	−0.499403	−	0.320947i	−0.0752879	−	0.0483846i
$45$	2.75244	+	5.94693i	0.410310	+	0.886517i
$46$	−1.46846	−	4.56548i	−0.216513	−	0.673144i
$47$	−7.26872	+	7.26872i	−1.06025	+	1.06025i	−0.0621869	+	0.998065i	$0.519807\pi$
$47$	−7.26872	+	7.26872i	−1.06025	+	1.06025i	−0.998065	+	0.0621869i	$0.980193\pi$
$48$	−0.0559997	−	0.257426i	−0.00808286	−	0.0371563i
$49$	−6.91227	+	0.993834i	−0.987466	+	0.141976i
$50$	−4.36384	+	2.44067i	−0.617140	+	0.345163i
$51$	0.262109	−	0.892662i	0.0367026	−	0.124998i
$52$	−2.33768	−	6.26758i	−0.324179	−	0.869156i
$53$	0.387357	+	5.41595i	0.0532075	+	0.743938i	0.952103	+	0.305776i	$0.0989159\pi$
$53$	0.387357	+	5.41595i	0.0532075	+	0.743938i	−0.898896	+	0.438162i	$0.855630\pi$
$54$	−1.54649	−	0.222352i	−0.210451	−	0.0302583i
$55$	−0.874359	−	0.998775i	−0.117899	−	0.134675i
$56$	0.0975305	−	0.0845107i	0.0130331	−	0.0112932i
$57$	1.96266	+	0.426952i	0.259961	+	0.0565511i
$58$	3.27115	+	0.711595i	0.429523	+	0.0934370i
$59$	−8.56443	+	7.42112i	−1.11499	+	0.966148i	−0.999631	−	0.0271755i	$-0.991349\pi$
$59$	−8.56443	+	7.42112i	−1.11499	+	0.966148i	−0.115363	+	0.993323i	$0.536803\pi$
$60$	0.0390417	−	0.587790i	0.00504026	−	0.0758834i
$61$	−3.26718	−	0.469749i	−0.418319	−	0.0601452i	−0.0700584	−	0.997543i	$-0.522319\pi$
$61$	−3.26718	−	0.469749i	−0.418319	−	0.0601452i	−0.348261	+	0.937398i	$0.613228\pi$
$62$	0.460468	+	6.43818i	0.0584795	+	0.817650i
$63$	−0.132166	−	0.354352i	−0.0166514	−	0.0446441i
$64$	0.281733	−	0.959493i	0.0352166	−	0.119937i
$65$	−1.14280	−	14.9141i	−0.141747	−	1.84987i
$66$	0.154801	−	0.0222571i	0.0190547	−	0.00273966i
$67$	−1.20124	−	5.52199i	−0.146754	−	0.674619i	−0.990459	−	0.137810i	$-0.955994\pi$
$67$	−1.20124	−	5.52199i	−0.146754	−	0.674619i	0.843704	−	0.536808i	$-0.180370\pi$
$68$	2.49711	−	2.49711i	0.302819	−	0.302819i
$69$	1.08001	+	0.655647i	0.130018	+	0.0789306i
$70$	0.261878	−	0.121206i	0.0313005	−	0.0144869i
$71$	−2.50826	−	1.61196i	−0.297676	−	0.191305i	0.383274	−	0.923635i	$-0.374797\pi$
$71$	−2.50826	−	1.61196i	−0.297676	−	0.191305i	−0.680950	+	0.732330i	$0.738433\pi$
$72$	−2.34606	−	1.75624i	−0.276486	−	0.206975i
$73$	0.0488904	−	0.131080i	0.00572219	−	0.0153418i	−0.934057	−	0.357123i	$-0.883758\pi$
$73$	0.0488904	−	0.131080i	0.00572219	−	0.0153418i	0.939779	+	0.341782i	$0.111030\pi$
$74$	7.24654	+	2.12778i	0.842393	+	0.247349i
$75$	0.447773	−	1.23879i	0.0517044	−	0.143043i
$76$	5.76197	+	4.99278i	0.660943	+	0.572711i
$77$	0.0459109	+	0.0613297i	0.00523203	+	0.00698917i
$78$	1.54672	+	0.844574i	0.175132	+	0.0956292i
$79$	2.30971	+	2.66555i	0.259863	+	0.299898i	0.870656	−	0.491893i	$-0.163695\pi$
$79$	2.30971	+	2.66555i	0.259863	+	0.299898i	−0.610793	+	0.791790i	$0.709149\pi$
$80$	1.19935	−	1.88721i	0.134091	−	0.210997i
$81$	−7.04985	+	4.53067i	−0.783317	+	0.503407i
$82$	−8.79495	−	0.629027i	−0.971240	−	0.0694645i
$83$	−0.134648	+	0.246590i	−0.0147796	+	0.0270668i	−0.884964	−	0.465659i	$-0.845817\pi$
$83$	−0.134648	+	0.246590i	−0.0147796	+	0.0270668i	0.870185	+	0.492725i	$0.163999\pi$
$84$	−0.00483845	+	0.0336521i	−0.000527918	+	0.00367175i
$85$	6.91133	−	3.81954i	0.749639	−	0.414287i
$86$	10.6057	+	4.84348i	1.14365	+	0.522286i
$87$	−0.774050	+	0.422663i	−0.0829869	+	0.0453143i
$88$	0.556213	+	0.207457i	0.0592925	+	0.0221150i
$89$	−0.270692	−	1.88270i	−0.0286933	−	0.199566i	0.970432	−	0.241373i	$-0.0775977\pi$
$89$	−0.270692	−	1.88270i	−0.0286933	−	0.199566i	−0.999126	+	0.0418069i	$0.986689\pi$
$90$	−3.95365	−	5.22595i	−0.416751	−	0.550864i
$91$			0.863268i			0.0904951i
$92$	2.40537	+	4.14900i	0.250777	+	0.432563i
$93$	−1.20240	−	1.20240i	−0.124683	−	0.124683i
$94$	5.55753	−	8.64768i	0.573215	−	0.891940i
$95$	9.28962	+	14.2949i	0.953095	+	1.46662i
$96$	0.109440	+	0.239640i	0.0111697	+	0.0244581i
$97$	5.06923	+	9.28359i	0.514702	+	0.942606i	0.997752	+	0.0670134i	$0.0213470\pi$
$97$	5.06923	+	9.28359i	0.514702	+	0.942606i	−0.483050	+	0.875593i	$0.660471\pi$
$98$	6.54304	−	2.44043i	0.660947	−	0.246521i
$99$	1.13928	−	1.31480i	0.114502	−	0.132142i
$100$	3.74531	−	3.31250i	0.374531	−	0.331250i
$101$	−11.9304	+	3.50307i	−1.18711	+	0.348568i	−0.814913	−	0.579583i	$-0.803215\pi$
$101$	−11.9304	+	3.50307i	−1.18711	+	0.348568i	−0.372202	+	0.928152i	$0.621397\pi$
$102$	−0.0663702	+	0.927977i	−0.00657163	+	0.0918834i
$103$	0.893069	−	4.10537i	0.0879967	−	0.404514i	−0.911987	−	0.410219i	$-0.865452\pi$
$103$	0.893069	−	4.10537i	0.0879967	−	0.404514i	0.999984	+	0.00570479i	$0.00181590\pi$
$104$	3.61653	+	5.62743i	0.354630	+	0.551815i
$105$	−0.0312294	+	0.0693117i	−0.00304767	+	0.00676413i
$106$	−1.52975	−	5.20984i	−0.148582	−	0.506025i
$107$	−5.92289	+	4.43382i	−0.572587	+	0.428634i	−0.845938	−	0.533281i	$-0.820959\pi$
$107$	−5.92289	+	4.43382i	−0.572587	+	0.428634i	0.273351	+	0.961914i	$0.411868\pi$
$108$	1.55842	−	0.111460i	0.149959	−	0.0107253i
$109$	4.31113	−	9.44005i	0.412931	−	0.904193i	−0.582863	−	0.812571i	$-0.698068\pi$
$109$	4.31113	−	9.44005i	0.412931	−	0.904193i	0.995794	−	0.0916222i	$-0.0292052\pi$
$110$	1.06668	+	0.790091i	0.101704	+	0.0753322i
$111$	−1.80987	+	0.826541i	−0.171785	+	0.0784518i
$112$	−0.0773376	+	0.103311i	−0.00730772	+	0.00976197i
$113$	−5.37701	+	1.16970i	−0.505827	+	0.110036i	−0.458235	−	0.888831i	$-0.651518\pi$
$113$	−5.37701	+	1.16970i	−0.505827	+	0.110036i	−0.0475915	+	0.998867i	$0.515155\pi$
$114$	−2.00857			−0.188120
$115$	2.59977	+	10.4039i	0.242430	+	0.970169i
$116$	−3.34765			−0.310822
$117$	19.1557	−	4.16708i	1.77095	−	0.385246i
$118$	6.79123	−	9.07203i	0.625184	−	0.835148i
$119$	−0.414553	+	0.189320i	−0.0380020	+	0.0173549i
$120$	0.0867943	+	0.582656i	0.00792320	+	0.0531890i
$121$	4.42317	−	9.68539i	0.402106	−	0.880490i
$122$	3.29236	−	0.235475i	0.298077	−	0.0213189i
$123$	1.85959	−	1.39208i	0.167674	−	0.125519i
$124$	−1.81848	−	6.19317i	−0.163304	−	0.556163i
$125$	10.0981	−	4.79881i	0.903201	−	0.429218i
$126$	0.204469	+	0.318160i	0.0182155	+	0.0283439i
$127$	−0.767358	+	3.52749i	−0.0680920	+	0.313014i	−0.998578	−	0.0533142i	$-0.983022\pi$
$127$	−0.767358	+	3.52749i	−0.0680920	+	0.313014i	0.930486	+	0.366328i	$0.119385\pi$
$128$	−0.0713392	+	0.997452i	−0.00630555	+	0.0881631i
$129$	−2.94721	+	0.865378i	−0.259487	+	0.0761922i
$130$	4.28690	+	14.3303i	0.375986	+	1.25685i
$131$	6.13048	−	7.07495i	0.535623	−	0.618141i	−0.421850	−	0.906666i	$-0.638619\pi$
$131$	6.13048	−	7.07495i	0.535623	−	0.618141i	0.957473	+	0.288524i	$0.0931646\pi$
$132$	−0.146533	+	0.0546538i	−0.0127540	+	0.00475700i
$133$	−0.471538	−	0.863558i	−0.0408875	−	0.0748800i
$134$	2.34757	+	5.14046i	0.202799	+	0.444068i
$135$	3.41751	+	0.725286i	0.294133	+	0.0624226i
$136$	−1.90924	+	2.97084i	−0.163716	+	0.254747i
$137$	5.33800	+	5.33800i	0.456056	+	0.456056i	0.897358	−	0.441302i	$-0.145483\pi$
$137$	5.33800	+	5.33800i	0.456056	+	0.456056i	−0.441302	+	0.897358i	$0.645483\pi$
$138$	−1.19470	−	0.411090i	−0.101699	−	0.0349943i
$139$			4.12747i			0.350088i	0.984561	+	0.175044i	$0.0560067\pi$
$139$			4.12747i			0.350088i	−0.984561	+	0.175044i	$0.943993\pi$
$140$	−0.230129	+	0.174103i	−0.0194495	+	0.0147143i
$141$	0.385404	+	2.68054i	0.0324569	+	0.225742i
$142$	2.79359	+	1.04196i	0.234433	+	0.0874389i
$143$	−3.48533	+	1.90313i	−0.291458	+	0.159148i
$144$	2.66576	+	1.21741i	0.222147	+	0.101451i
$145$	−7.19297	−	2.07245i	−0.597344	−	0.172107i
$146$	−0.0199100	+	0.138477i	−0.00164776	+	0.0114605i
$147$	−0.881694	+	1.61470i	−0.0727209	+	0.133178i
$148$	−7.53323	−	0.538787i	−0.619227	−	0.0442880i
$149$	13.0303	−	8.37405i	1.06748	−	0.686029i	0.115849	−	0.993267i	$-0.463041\pi$
$149$	13.0303	−	8.37405i	1.06748	−	0.686029i	0.951633	+	0.307238i	$0.0994048\pi$
$150$	−0.174216	+	1.30566i	−0.0142247	+	0.106607i
$151$	−7.67620	−	8.85880i	−0.624680	−	0.720919i	0.351909	−	0.936034i	$-0.385533\pi$
$151$	−7.67620	−	8.85880i	−0.624680	−	0.720919i	−0.976589	+	0.215115i	$0.930987\pi$
$152$	−6.69158	−	3.65388i	−0.542759	−	0.296369i
$153$	6.20206	+	8.28498i	0.501407	+	0.669801i
$154$	−0.0578982	−	0.0501691i	−0.00466557	−	0.00404274i
$155$	−0.0732627	−	14.4328i	−0.00588460	−	1.15927i
$156$	−1.69090	−	0.496493i	−0.135380	−	0.0397513i
$157$	−1.95349	+	5.23752i	−0.155906	+	0.417999i	−0.991295	−	0.131659i	$-0.957970\pi$
$157$	−1.95349	+	5.23752i	−0.155906	+	0.417999i	0.835389	+	0.549659i	$0.185242\pi$
$158$	−2.82353	−	2.11367i	−0.224628	−	0.168154i
$159$	1.20338	+	0.773366i	0.0954343	+	0.0613319i
$160$	−0.770781	+	2.09902i	−0.0609356	+	0.165942i
$161$	−0.103729	−	0.610154i	−0.00817497	−	0.0480869i
$162$	5.92568	−	5.92568i	0.465565	−	0.465565i
$163$	3.97329	+	18.2649i	0.311212	+	1.43062i	0.821300	+	0.570497i	$0.193249\pi$
$163$	3.97329	+	18.2649i	0.311212	+	1.43062i	−0.510088	+	0.860122i	$0.670387\pi$
$164$	8.72767	−	1.25485i	0.681517	−	0.0979873i
$165$	−0.348684	+	0.0267180i	−0.0271450	+	0.00207999i
$166$	0.0791547	−	0.269576i	0.00614359	−	0.0209232i
$167$	−7.46345	−	20.0103i	−0.577539	−	1.54844i	−0.816460	−	0.577403i	$-0.804066\pi$
$167$	−7.46345	−	20.0103i	−0.577539	−	1.54844i	0.238921	−	0.971039i	$-0.423206\pi$
$168$	−0.00242540	−	0.0339116i	−0.000187124	−	0.00261633i
$169$	−31.4241	−	4.51811i	−2.41724	−	0.347547i
$170$	−5.94148	+	5.20136i	−0.455691	+	0.398926i
$171$	−16.8860	+	14.6318i	−1.29131	+	1.11892i
$172$	−11.3929	−	2.47838i	−0.868702	−	0.188975i
$173$	8.36230	+	1.81911i	0.635774	+	0.138304i	0.518889	−	0.854841i	$-0.326346\pi$
$173$	8.36230	+	1.81911i	0.635774	+	0.138304i	0.116884	+	0.993146i	$0.462709\pi$
$174$	0.666517	−	0.577541i	0.0505285	−	0.0437832i
$175$	−0.602253	+	0.231620i	−0.0455260	+	0.0175088i
$176$	−0.587600	−	0.0844841i	−0.0442920	−	0.00636823i
$177$	0.212982	+	2.97787i	0.0160087	+	0.223830i
$178$	0.664703	+	1.78214i	0.0498216	+	0.133577i
$179$	2.31893	−	7.89754i	0.173325	−	0.590289i	−0.826309	−	0.563217i	$-0.809563\pi$
$179$	2.31893	−	7.89754i	0.173325	−	0.590289i	0.999633	−	0.0270722i	$-0.00861841\pi$
$180$	4.97415	+	4.26612i	0.370752	+	0.317977i
$181$	5.20125	−	0.747827i	0.386606	−	0.0555856i	0.0537284	−	0.998556i	$-0.482889\pi$
$181$	5.20125	−	0.747827i	0.386606	−	0.0555856i	0.332878	+	0.942970i	$0.391980\pi$
$182$	−0.183501	−	0.843540i	−0.0136020	−	0.0625273i
$183$	−0.614885	+	0.614885i	−0.0454536	+	0.0454536i
$184$	−3.23233	−	3.54289i	−0.238290	−	0.261185i
$185$	−15.8528	−	5.82130i	−1.16552	−	0.427990i
$186$	1.43051	+	0.919334i	0.104890	+	0.0674088i
$187$	−1.67826	−	1.25633i	−0.122727	−	0.0918721i
$188$	−3.59232	+	9.63139i	−0.261997	+	0.702441i
$189$	−0.193462	−	0.0568056i	−0.0140723	−	0.00413200i
$190$	−12.1159	−	11.9935i	−0.878981	−	0.870103i
$191$	9.12753	+	7.90905i	0.660445	+	0.572279i	0.919261	−	0.393648i	$-0.128787\pi$
$191$	9.12753	+	7.90905i	0.660445	+	0.572279i	−0.258816	+	0.965927i	$0.583332\pi$
$192$	−0.157878	−	0.210900i	−0.0113939	−	0.0152204i
$193$	10.7469	+	5.86823i	0.773577	+	0.422405i	0.816990	−	0.576652i	$-0.195641\pi$
$193$	10.7469	+	5.86823i	0.773577	+	0.422405i	−0.0434130	+	0.999057i	$0.513823\pi$
$194$	−6.92675	−	7.99389i	−0.497311	−	0.573928i
$195$	−3.32581	−	2.11359i	−0.238166	−	0.151357i
$196$	−5.87476	+	3.77548i	−0.419626	+	0.269677i
$197$	−7.45610	−	0.533270i	−0.531225	−	0.0379939i	−0.196849	−	0.980434i	$-0.563071\pi$
$197$	−7.45610	−	0.533270i	−0.531225	−	0.0379939i	−0.334376	+	0.942440i	$0.608525\pi$
$198$	−0.833761	+	1.52692i	−0.0592528	+	0.108513i
$199$	−0.825740	+	5.74315i	−0.0585351	+	0.407121i	0.939396	+	0.342833i	$0.111387\pi$
$199$	−0.825740	+	5.74315i	−0.0585351	+	0.407121i	−0.997931	+	0.0642876i	$0.979522\pi$
$200$	−2.95560	+	4.03292i	−0.208992	+	0.285170i
$201$	−1.35424	−	0.618459i	−0.0955205	−	0.0436228i
$202$	10.9131	−	5.95899i	0.767842	−	0.419273i
$203$	0.404780	+	0.150975i	0.0284100	+	0.0105964i
$204$	−0.132402	−	0.920878i	−0.00927001	−	0.0644743i
$205$	19.5297	+	2.70683i	1.36401	+	0.189053i
$206$			4.20139i			0.292724i
$207$	−13.0385	+	5.24699i	−0.906237	+	0.364691i
$208$	−4.73008	−	4.73008i	−0.327972	−	0.327972i
$209$	2.44696	−	3.80754i	0.169260	−	0.263373i
$210$	0.0157824	−	0.0743660i	0.00108909	−	0.00513174i
$211$	−2.75868	−	6.04067i	−0.189915	−	0.415857i	0.790591	−	0.612345i	$-0.209774\pi$
$211$	−2.75868	−	6.04067i	−0.189915	−	0.415857i	−0.980506	+	0.196488i	$0.937046\pi$
$212$	2.60222	+	4.76561i	0.178721	+	0.327303i
$213$	−0.735963	+	0.274500i	−0.0504273	+	0.0188084i
$214$	4.84506	−	5.59149i	0.331201	−	0.382227i
$215$	−22.9452	−	12.3783i	−1.56485	−	0.844191i
$216$	−1.49911	+	0.440178i	−0.102001	+	0.0299503i
$217$	−0.0594240	+	0.830856i	−0.00403396	+	0.0564022i
$218$	−2.20598	+	10.1407i	−0.149408	+	0.686816i
$219$	−0.0199261	−	0.0310057i	−0.00134648	−	0.00209517i
$220$	−1.21025	−	0.545296i	−0.0815951	−	0.0367638i
$221$	−6.65537	−	22.6661i	−0.447689	−	1.52469i
$222$	1.59282	−	1.19237i	0.106903	−	0.0800265i
$223$	−8.75739	+	0.626341i	−0.586438	+	0.0419429i	−0.361406	−	0.932409i	$-0.617703\pi$
$223$	−8.75739	+	0.626341i	−0.586438	+	0.0419429i	−0.225032	+	0.974351i	$0.572249\pi$
$224$	0.0536099	−	0.117389i	0.00358196	−	0.00784340i
$225$	8.04673	+	12.2458i	0.536449	+	0.816387i
$226$	5.00549	−	2.28593i	0.332960	−	0.152058i
$227$	9.61262	−	12.8410i	0.638012	−	0.852284i	−0.358688	−	0.933458i	$-0.616776\pi$
$227$	9.61262	−	12.8410i	0.638012	−	0.852284i	0.996700	+	0.0811732i	$0.0258667\pi$
$228$	1.96266	−	0.426952i	0.129981	−	0.0282756i
$229$	17.3793			1.14845			0.574227	−	0.818696i	$-0.305303\pi$
$229$	17.3793			1.14845			0.574227	+	0.818696i	$0.305303\pi$
$230$	−4.75187	−	9.61352i	−0.313329	−	0.633897i
$231$	0.0201828			0.00132793
$232$	3.27115	−	0.711595i	0.214761	−	0.0467185i
$233$	−10.8683	+	14.5184i	−0.712007	+	0.951130i	−0.999979	−	0.00650891i	$-0.997928\pi$
$233$	−10.8683	+	14.5184i	−0.712007	+	0.951130i	0.287972	+	0.957639i	$0.407019\pi$
$234$	−17.8322	+	8.14369i	−1.16573	+	0.532370i
$235$	−13.6812	+	18.4707i	−0.892465	+	1.20489i
$236$	−4.70764	+	10.3083i	−0.306441	+	0.671012i
$237$	0.926817	−	0.0662872i	0.0602032	−	0.00430582i
$238$	0.364836	−	0.273113i	0.0236488	−	0.0177033i
$239$	2.94260	+	10.0216i	0.190341	+	0.648242i	0.998261	+	0.0589499i	$0.0187752\pi$
$239$	2.94260	+	10.0216i	0.190341	+	0.648242i	−0.807920	+	0.589292i	$0.799407\pi$
$240$	−0.208663	−	0.550891i	−0.0134692	−	0.0355599i
$241$	7.91251	+	12.3121i	0.509690	+	0.793093i	0.996774	−	0.0802625i	$-0.0255759\pi$
$241$	7.91251	+	12.3121i	0.509690	+	0.793093i	−0.487084	+	0.873355i	$0.661940\pi$
$242$	−2.26331	+	10.4043i	−0.145491	+	0.668811i
$243$	−0.491878	+	6.87736i	−0.0315540	+	0.441183i
$244$	−3.16707	+	0.929936i	−0.202751	+	0.0595330i
$245$	−14.9602	+	4.47532i	−0.955771	+	0.285917i
$246$	−1.52119	+	1.75555i	−0.0969876	+	0.111930i
$247$	47.7851	−	17.8229i	3.04049	−	1.13405i
$248$	3.09337	+	5.66509i	0.196429	+	0.359734i
$249$	0.0307479	+	0.0673284i	0.00194857	+	0.00426677i
$250$	−8.84726	+	6.83564i	−0.559550	+	0.432324i
$251$	12.3392	−	19.2002i	0.778846	−	1.21191i	−0.194125	−	0.980977i	$-0.562187\pi$
$251$	12.3392	−	19.2002i	0.778846	−	1.21191i	0.972970	−	0.230930i	$-0.0741770\pi$
$252$	−0.267426	−	0.267426i	−0.0168463	−	0.0168463i
$253$	2.23474	−	1.76392i	0.140497	−	0.110896i
$254$		−	3.60999i		−	0.226511i
$255$	0.285604	−	2.06062i	0.0178852	−	0.129041i
$256$	−0.142315	−	0.989821i	−0.00889468	−	0.0618638i
$257$	2.35340	+	0.877771i	0.146801	+	0.0547539i	0.421791	−	0.906693i	$-0.361402\pi$
$257$	2.35340	+	0.877771i	0.146801	+	0.0547539i	−0.274990	+	0.961447i	$0.588674\pi$
$258$	2.69590	−	1.47207i	0.167840	−	0.0916474i
$259$	0.886579	+	0.404887i	0.0550893	+	0.0251584i
$260$	−7.23507	−	13.0916i	−0.448700	−	0.811907i
$261$	1.39620	−	9.71076i	0.0864224	−	0.601081i
$262$	−4.48649	+	8.21639i	−0.277176	+	0.507610i
$263$	22.2561	+	1.59179i	1.37237	+	0.0981540i	0.737962	−	0.674843i	$-0.235789\pi$
$263$	22.2561	+	1.59179i	1.37237	+	0.0981540i	0.634410	+	0.772997i	$0.281243\pi$
$264$	0.131566	−	0.0845525i	0.00809735	−	0.00520385i
$265$	2.64102	+	11.8507i	0.162237	+	0.727980i
$266$	0.644325	+	0.743590i	0.0395061	+	0.0455924i
$267$	−0.439798	−	0.240148i	−0.0269152	−	0.0146968i
$268$	−3.38660	−	4.52397i	−0.206870	−	0.276345i
$269$	−18.2383	−	15.8036i	−1.11201	−	0.963561i	−0.112462	−	0.993656i	$-0.535874\pi$
$269$	−18.2383	−	15.8036i	−1.11201	−	0.963561i	−0.999547	+	0.0300949i	$0.990419\pi$
$270$	−3.49358	+	0.0177338i	−0.212613	+	0.00107925i
$271$	−5.38988	−	1.58261i	−0.327412	−	0.0961368i	0.113896	−	0.993493i	$-0.463667\pi$
$271$	−5.38988	−	1.58261i	−0.327412	−	0.0961368i	−0.441307	+	0.897356i	$0.645485\pi$
$272$	1.23411	−	3.30878i	0.0748290	−	0.200624i
$273$	0.182063	+	0.136291i	0.0110190	+	0.00824871i
$274$	−6.35068	−	4.08134i	−0.383659	−	0.246562i
$275$	−2.26284	−	1.92089i	−0.136454	−	0.115834i
$276$	1.25478	+	0.147744i	0.0755288	+	0.00889313i
$277$	−0.0727851	+	0.0727851i	−0.00437323	+	0.00437323i	−0.709290	−	0.704917i	$-0.750984\pi$
$277$	−0.0727851	+	0.0727851i	−0.00437323	+	0.00437323i	0.704917	+	0.709290i	$0.250984\pi$
$278$	−0.877357	−	4.03315i	−0.0526204	−	0.241892i
$279$	18.7234	−	2.69201i	1.12094	−	0.161167i
$280$	0.187862	−	0.219041i	0.0112269	−	0.0130902i
$281$	−3.15299	+	10.7381i	−0.188092	+	0.640582i	0.810410	+	0.585863i	$0.199244\pi$
$281$	−3.15299	+	10.7381i	−0.188092	+	0.640582i	−0.998502	+	0.0547187i	$0.982574\pi$
$282$	−0.946387	−	2.53736i	−0.0563565	−	0.151098i
$283$	−1.03987	−	14.5393i	−0.0618140	−	0.864273i	−0.929889	−	0.367840i	$-0.880097\pi$
$283$	−1.03987	−	14.5393i	−0.0618140	−	0.864273i	0.868075	−	0.496433i	$-0.165357\pi$
$284$	−2.95123	−	0.424323i	−0.175123	−	0.0251789i
$285$	4.48142	+	0.297661i	0.265456	+	0.0176319i
$286$	3.00114	−	2.60050i	0.177461	−	0.153771i
$287$	−1.11190	−	0.241878i	−0.0656331	−	0.0142776i
$288$	−2.86362	−	0.622943i	−0.168741	−	0.0367073i
$289$	−3.42274	+	2.96582i	−0.201337	+	0.174460i
$290$	7.46912	+	0.496108i	0.438602	+	0.0291325i
$291$	2.75823	+	0.396574i	0.161690	+	0.0232476i
$292$	−0.00998043	−	0.139545i	−0.000584061	−	0.00816624i
$293$	−2.61934	−	7.02273i	−0.153024	−	0.410272i	0.837706	−	0.546122i	$-0.183896\pi$
$293$	−2.61934	−	7.02273i	−0.153024	−	0.410272i	−0.990729	+	0.135850i	$0.956624\pi$
$294$	0.518315	−	1.76522i	0.0302287	−	0.102950i
$295$	−16.4967	+	19.2346i	−0.960476	+	1.11988i
$296$	7.47560	−	1.07483i	0.434510	−	0.0624731i
$297$	−0.197155	−	0.906308i	−0.0114401	−	0.0525893i
$298$	−10.9525	+	10.9525i	−0.634459	+	0.634459i
$299$	32.0704	−	0.821005i	1.85468	−	0.0474799i
$300$	−0.107304	−	1.31286i	−0.00619520	−	0.0757978i
$301$	1.26580	+	0.813480i	0.0729595	+	0.0468882i
$302$	9.38384	+	7.02466i	0.539980	+	0.404224i
$303$	−1.14474	+	3.06917i	−0.0657637	+	0.176319i
$304$	7.31535	+	2.14798i	0.419564	+	0.123195i
$305$	−7.38066	+	0.0374651i	−0.422615	+	0.00214525i
$306$	−7.82142	−	6.77730i	−0.447121	−	0.387432i
$307$	4.93716	+	6.59528i	0.281779	+	0.376412i	0.918993	−	0.394275i	$-0.129004\pi$
$307$	4.93716	+	6.59528i	0.281779	+	0.376412i	−0.637214	+	0.770687i	$0.719913\pi$
$308$	0.0672393	+	0.0367154i	0.00383131	+	0.00209206i
$309$	−0.724828	−	0.836496i	−0.0412340	−	0.0475866i
$310$	3.13950	+	14.0874i	0.178312	+	0.800110i
$311$	−2.07954	+	1.33644i	−0.117920	+	0.0757826i	−0.598271	−	0.801294i	$-0.704146\pi$
$311$	−2.07954	+	1.33644i	−0.117920	+	0.0757826i	0.480351	+	0.877076i	$0.340509\pi$
$312$	1.75780	+	0.125720i	0.0995156	+	0.00711750i
$313$	−8.42614	+	15.4313i	−0.476274	+	0.872230i	0.523522	+	0.852012i	$0.324618\pi$
$313$	−8.42614	+	15.4313i	−0.476274	+	0.872230i	−0.999796	+	0.0202181i	$0.993564\pi$
$314$	0.795535	−	5.53307i	0.0448947	−	0.312249i
$315$	−0.409051	−	0.740164i	−0.0230474	−	0.0417035i
$316$	3.20830	+	1.46518i	0.180481	+	0.0824228i
$317$	−11.6490	+	6.36085i	−0.654274	+	0.357261i	−0.771851	−	0.635803i	$-0.780669\pi$
$317$	−11.6490	+	6.36085i	−0.654274	+	0.357261i	0.117577	+	0.993064i	$0.462487\pi$
$318$	−1.34027	−	0.499895i	−0.0751586	−	0.0280327i
$319$	0.282823	+	1.96708i	0.0158351	+	0.110135i
$320$	0.306987	−	2.21489i	0.0171611	−	0.123816i
$321$			1.94914i			0.108790i
$322$	0.231056	+	0.574161i	0.0128762	+	0.0319968i
$323$	19.0384	+	19.0384i	1.05932	+	1.05932i
$324$	−4.53067	+	7.04985i	−0.251704	+	0.391659i
$325$	−7.44103	−	32.6085i	−0.412754	−	1.80879i
$326$	−7.76498	−	17.0029i	−0.430062	−	0.941705i
$327$	−1.31028	−	2.39959i	−0.0724585	−	0.132698i
$328$	−8.26148	+	3.08137i	−0.456164	+	0.170140i
$329$	0.868729	−	1.00257i	0.0478946	−	0.0552733i
$330$	0.335036	−	0.100225i	0.0184431	−	0.00551723i
$331$	15.9178	−	4.67388i	0.874921	−	0.256900i	0.186714	−	0.982414i	$-0.440216\pi$
$331$	15.9178	−	4.67388i	0.874921	−	0.256900i	0.688207	+	0.725514i	$0.258398\pi$
$332$	−0.0200432	+	0.280241i	−0.00110001	+	0.0153802i
$333$	4.70476	−	21.6274i	0.257819	−	1.18518i
$334$	11.5464	+	17.9665i	0.631789	+	0.983084i
$335$	−4.47599	−	11.8170i	−0.244549	−	0.645634i
$336$	0.00957840	+	0.0326210i	0.000522544	+	0.00177962i
$337$	3.20968	−	2.40274i	0.174843	−	0.130886i	−0.508272	−	0.861196i	$-0.669716\pi$
$337$	3.20968	−	2.40274i	0.174843	−	0.130886i	0.683115	+	0.730311i	$0.260625\pi$
$338$	31.6664	−	2.26482i	1.72242	−	0.123190i
$339$	−0.602222	+	1.31868i	−0.0327082	+	0.0716210i
$340$	4.70007	−	6.34545i	0.254897	−	0.344130i
$341$	−3.48547	+	1.59176i	−0.188749	+	0.0861987i
$342$	13.3899	−	17.8868i	0.724042	−	0.967208i
$343$	1.76333	−	0.383589i	0.0952109	−	0.0207119i
$344$	11.6594			0.628632
$345$	2.60463	+	1.09425i	0.140229	+	0.0589126i
$346$	−8.55787			−0.460074
$347$	−6.30247	+	1.37102i	−0.338335	+	0.0736002i	−0.378523	−	0.925592i	$-0.623568\pi$
$347$	−6.30247	+	1.37102i	−0.338335	+	0.0736002i	0.0401883	+	0.999192i	$0.487204\pi$
$348$	−0.528520	+	0.706020i	−0.0283317	+	0.0378467i
$349$	−8.91227	+	4.07010i	−0.477063	+	0.217867i	−0.639409	−	0.768867i	$-0.720821\pi$
$349$	−8.91227	+	4.07010i	−0.477063	+	0.217867i	0.162347	+	0.986734i	$0.448094\pi$
$350$	0.539255	−	0.354345i	0.0288244	−	0.0189405i
$351$	4.34167	−	9.50693i	0.231741	−	0.507443i
$352$	0.592130	−	0.0423499i	0.0315606	−	0.00225726i
$353$	7.36166	−	5.51087i	0.391822	−	0.293314i	−0.385145	−	0.922856i	$-0.625848\pi$
$353$	7.36166	−	5.51087i	0.391822	−	0.293314i	0.776966	+	0.629542i	$0.216758\pi$
$354$	−0.841106	−	2.86454i	−0.0447043	−	0.152249i
$355$	−6.07851	−	2.73876i	−0.322614	−	0.145358i
$356$	−1.02833	−	1.60012i	−0.0545015	−	0.0848060i
$357$	−0.0255211	+	0.117319i	−0.00135072	+	0.00620917i
$358$	−0.587189	+	8.20997i	−0.0310339	+	0.433911i
$359$	5.58113	−	1.63877i	0.294561	−	0.0864909i	−0.131113	−	0.991367i	$-0.541855\pi$
$359$	5.58113	−	1.63877i	0.294561	−	0.0864909i	0.425674	+	0.904876i	$0.360037\pi$
$360$	−5.76731	−	3.11129i	−0.303964	−	0.163979i
$361$	−25.6235	+	29.5711i	−1.34860	+	1.55637i
$362$	−4.92343	+	1.83634i	−0.258769	+	0.0965160i
$363$	−1.34433	−	2.46196i	−0.0705590	−	0.129219i
$364$	0.358615	+	0.785257i	0.0187965	+	0.0411586i
$365$	0.0649440	−	0.306013i	0.00339932	−	0.0160175i
$366$	0.470130	−	0.731536i	0.0245741	−	0.0382380i
$367$	0.794255	+	0.794255i	0.0414598	+	0.0414598i	0.727533	−	0.686073i	$-0.240667\pi$
$367$	0.794255	+	0.794255i	0.0414598	+	0.0414598i	−0.686073	+	0.727533i	$0.740667\pi$
$368$	3.91155	+	2.77484i	0.203904	+	0.144649i
$369$			25.8403i			1.34519i
$370$	16.7279	+	2.31851i	0.869643	+	0.120533i
$371$	−0.0997231	−	0.693589i	−0.00517736	−	0.0360094i
$372$	−1.59324	−	0.594247i	−0.0826056	−	0.0308103i
$373$	22.6734	−	12.3806i	1.17399	−	0.641045i	0.230699	−	0.973025i	$-0.425899\pi$
$373$	22.6734	−	12.3806i	1.17399	−	0.641045i	0.943286	+	0.331980i	$0.107717\pi$
$374$	1.90696	+	0.870881i	0.0986067	+	0.0450322i
$375$	0.582196	−	2.88731i	0.0300645	−	0.149100i
$376$	1.46293	−	10.1749i	0.0754448	−	0.524730i
$377$	−10.7321	+	19.6544i	−0.552731	+	1.01225i
$378$	0.201116	+	0.0143841i	0.0103443	+	0.000739837i
$379$	16.4009	−	10.5402i	0.842459	−	0.541415i	−0.0467555	−	0.998906i	$-0.514888\pi$
$379$	16.4009	−	10.5402i	0.842459	−	0.541415i	0.889214	+	0.457491i	$0.151252\pi$
$380$	14.3884	+	9.14402i	0.738112	+	0.469079i
$381$	0.622799	+	0.718748i	0.0319069	+	0.0368226i
$382$	−10.6001	−	5.78811i	−0.542350	−	0.296145i
$383$	−2.12726	−	2.84169i	−0.108698	−	0.145203i	0.742893	−	0.669410i	$-0.233453\pi$
$383$	−2.12726	−	2.84169i	−0.108698	−	0.145203i	−0.851591	+	0.524206i	$0.824362\pi$
$384$	0.199100	+	0.172521i	0.0101603	+	0.00880393i
$385$	0.121745	+	0.120515i	0.00620469	+	0.00614202i
$386$	−11.7487	−	3.44972i	−0.597991	−	0.175586i
$387$	11.9408	−	32.0146i	0.606986	−	1.62739i
$388$	8.46767	+	6.33882i	0.429881	+	0.321805i
$389$	−18.2951	−	11.7576i	−0.927600	−	0.596132i	−0.0127468	−	0.999919i	$-0.504058\pi$
$389$	−18.2951	−	11.7576i	−0.927600	−	0.596132i	−0.914853	+	0.403786i	$0.867694\pi$
$390$	3.69908	+	1.35834i	0.187310	+	0.0687820i
$391$	7.42750	+	15.2206i	0.375625	+	0.769739i
$392$	4.93797	−	4.93797i	0.249405	−	0.249405i
$393$	−0.524241	−	2.40990i	−0.0264445	−	0.121563i
$394$	7.39906	−	1.06382i	0.372759	−	0.0535947i
$395$	5.98649	+	5.13435i	0.301213	+	0.258337i
$396$	0.490137	−	1.66925i	0.0246303	−	0.0838832i
$397$	3.21931	+	8.63130i	0.161573	+	0.433193i	0.992357	−	0.123402i	$-0.0393804\pi$
$397$	3.21931	+	8.63130i	0.161573	+	0.433193i	−0.830784	+	0.556595i	$0.812108\pi$
$398$	−0.413925	−	5.78742i	−0.0207482	−	0.290097i
$399$	−0.256570	−	0.0368892i	−0.0128446	−	0.00184677i
$400$	2.03080	−	4.56901i	0.101540	−	0.228451i
$401$	−14.2281	+	12.3287i	−0.710518	+	0.615668i	−0.933256	−	0.359211i	$-0.883046\pi$
$401$	−14.2281	+	12.3287i	−0.710518	+	0.615668i	0.222738	+	0.974878i	$0.428500\pi$
$402$	1.45475	+	0.316462i	0.0725564	+	0.0157837i
$403$	−42.1905	−	9.17797i	−2.10166	−	0.457187i
$404$	−9.39701	+	8.14255i	−0.467519	+	0.405107i
$405$	−14.0993	+	12.3429i	−0.700598	+	0.613325i
$406$	−0.427622	−	0.0614827i	−0.0212225	−	0.00305134i
$407$	0.319847	+	4.47204i	0.0158542	+	0.221671i
$408$	0.325123	+	0.871689i	0.0160960	+	0.0431550i
$409$	−5.41828	+	18.4530i	−0.267917	+	0.912441i	0.710132	+	0.704068i	$0.248635\pi$
$409$	−5.41828	+	18.4530i	−0.267917	+	0.912441i	−0.978049	+	0.208373i	$0.933183\pi$
$410$	−19.6587	+	1.50636i	−0.970875	+	0.0743936i
$411$	1.96854	−	0.283033i	0.0971008	−	0.0139610i
$412$	−0.893069	−	4.10537i	−0.0439983	−	0.202257i
$413$	1.03411	−	1.03411i	0.0508854	−	0.0508854i
$414$	11.6252	−	7.89861i	0.571347	−	0.388195i
$415$	−0.216556	+	0.589735i	−0.0106303	+	0.0289489i
$416$	5.62743	+	3.61653i	0.275907	+	0.177315i
$417$	0.870485	+	0.651637i	0.0426278	+	0.0319108i
$418$	−1.58169	+	4.24067i	−0.0773628	+	0.207418i
$419$	−11.3802	−	3.34154i	−0.555960	−	0.163245i	−0.00833037	−	0.999965i	$-0.502652\pi$
$419$	−11.3802	−	3.34154i	−0.555960	−	0.163245i	−0.547630	+	0.836721i	$0.684470\pi$
$420$	0.000385893		0.0760213i	1.88297e−5		0.00370946i
$421$	17.9877	+	15.5864i	0.876665	+	0.759634i	0.971794	−	0.235831i	$-0.0757811\pi$
$421$	17.9877	+	15.5864i	0.876665	+	0.759634i	−0.0951295	+	0.995465i	$0.530327\pi$
$422$	3.97967	+	5.31622i	0.193727	+	0.258790i
$423$	−26.4402	−	14.4374i	−1.28557	−	0.701972i
$424$	−3.55575	−	4.10356i	−0.172683	−	0.199286i
$425$	14.0272	−	10.7245i	0.680417	−	0.520216i
$426$	0.660795	−	0.424667i	0.0320156	−	0.0205752i
$427$	0.424884	+	0.0303883i	0.0205616	+	0.00147059i
$428$	−3.54577	+	6.49360i	−0.171391	+	0.313880i
$429$	−0.148885	+	1.03552i	−0.00718824	+	0.0499953i
$430$	25.0521	+	7.21802i	1.20812	+	0.348084i
$431$	29.3256	+	13.3926i	1.41257	+	0.645098i	0.968069	−	0.250683i	$-0.0806550\pi$
$431$	29.3256	+	13.3926i	1.41257	+	0.645098i	0.444497	+	0.895780i	$0.353382\pi$
$432$	1.37128	−	0.748777i	0.0659759	−	0.0360256i
$433$	6.17914	+	2.30470i	0.296950	+	0.110757i	0.493524	−	0.869732i	$-0.335709\pi$
$433$	6.17914	+	2.30470i	0.296950	+	0.110757i	−0.196573	+	0.980489i	$0.562981\pi$
$434$	−0.118545	−	0.824500i	−0.00569035	−	0.0395773i
$435$	−1.57269	+	1.18981i	−0.0754047	+	0.0570468i
$436$		−	10.3779i		−	0.497010i
$437$	−31.6327	+	18.3389i	−1.51320	+	0.877270i
$438$	0.0260615	+	0.0260615i	0.00124527	+	0.00124527i
$439$	21.7901	−	33.9060i	1.03998	−	1.61824i	0.289712	−	0.957114i	$-0.406440\pi$
$439$	21.7901	−	33.9060i	1.03998	−	1.61824i	0.750271	−	0.661131i	$-0.229923\pi$
$440$	1.29850	+	0.275577i	0.0619037	+	0.0131376i
$441$	−8.50162	−	18.6159i	−0.404839	−	0.886474i
$442$	11.3213	+	20.7334i	0.538499	+	0.986188i
$443$	0.329622	−	0.122943i	0.0156608	−	0.00584118i	−0.341622	−	0.939838i	$-0.610976\pi$
$443$	0.329622	−	0.122943i	0.0156608	−	0.00584118i	0.357282	+	0.933996i	$0.383703\pi$
$444$	−1.30296	+	1.50370i	−0.0618357	+	0.0713623i
$445$	−1.21895	−	4.07472i	−0.0577836	−	0.193160i
$446$	8.42412	−	2.47354i	0.398893	−	0.117126i
$447$	0.291104	−	4.07016i	0.0137687	−	0.192512i
$448$	−0.0274318	+	0.126102i	−0.00129603	+	0.00595777i
$449$	−4.63805	−	7.21695i	−0.218883	−	0.340589i	0.714395	−	0.699742i	$-0.246702\pi$
$449$	−4.63805	−	7.21695i	−0.218883	−	0.340589i	−0.933279	+	0.359153i	$0.883065\pi$
$450$	−10.4659	−	10.2555i	−0.493366	−	0.483449i
$451$	−1.47470	−	5.02236i	−0.0694408	−	0.236494i
$452$	−4.40519	+	3.29768i	−0.207203	+	0.155110i
$453$	−3.08022	+	0.220302i	−0.144722	+	0.0103507i
$454$	−6.66340	+	14.5908i	−0.312729	+	0.684781i
$455$	0.284409	+	1.90926i	0.0133333	+	0.0895075i
$456$	−1.82706	+	0.834389i	−0.0855598	+	0.0390738i
$457$	21.1694	−	28.2790i	0.990261	−	1.32283i	0.0441386	−	0.999025i	$-0.485946\pi$
$457$	21.1694	−	28.2790i	0.990261	−	1.32283i	0.946123	−	0.323809i	$-0.104963\pi$
$458$	−16.9821	+	3.69423i	−0.793522	+	0.172620i
$459$	5.51751			0.257535
$460$	6.68678	+	8.38374i	0.311772	+	0.390894i
$461$	31.7307			1.47784			0.738922	−	0.673791i	$-0.235335\pi$
$461$	31.7307			1.47784			0.738922	+	0.673791i	$0.235335\pi$
$462$	−0.0197215	+	0.00429015i	−0.000917528	+	0.000199596i
$463$	−10.8297	+	14.4668i	−0.503301	+	0.672331i	−0.978189	−	0.207715i	$-0.933397\pi$
$463$	−10.8297	+	14.4668i	−0.503301	+	0.672331i	0.474889	+	0.880046i	$0.342488\pi$
$464$	−3.04513	+	1.39067i	−0.141367	+	0.0645600i
$465$	−3.05545	−	2.26317i	−0.141693	−	0.104952i
$466$	7.53384	−	16.4968i	0.348998	−	0.764200i
$467$	−28.1253	+	2.01156i	−1.30148	+	0.0930840i	−0.704808	−	0.709398i	$-0.748967\pi$
$467$	−28.1253	+	2.01156i	−1.30148	+	0.0930840i	−0.596676	+	0.802482i	$0.703512\pi$
$468$	15.6936	−	11.7481i	0.725437	−	0.543056i
$469$	0.205464	+	0.699746i	0.00948744	+	0.0323113i
$470$	9.44235	−	20.9567i	0.435543	−	0.966662i
$471$	0.796180	+	1.23888i	0.0366860	+	0.0570846i
$472$	2.40887	−	11.0734i	0.110877	−	0.509694i
$473$	−0.493774	+	6.90386i	−0.0227038	+	0.317440i
$474$	−0.891546	+	0.261781i	−0.0409500	+	0.0120240i
$475$	25.2551	+	28.5549i	1.15878	+	1.31019i
$476$	−0.298444	+	0.344423i	−0.0136792	+	0.0157866i
$477$	−14.9092	+	5.56085i	−0.682646	+	0.254614i
$478$	−5.00560	−	9.16706i	−0.228951	−	0.419292i
$479$	0.411008	+	0.899981i	0.0187794	+	0.0411212i	0.918789	−	0.394748i	$-0.129168\pi$
$479$	0.411008	+	0.899981i	0.0187794	+	0.0411212i	−0.900010	+	0.435869i	$0.856441\pi$
$480$	0.320995	+	0.493947i	0.0146513	+	0.0225455i
$481$	−27.3137	+	42.5010i	−1.24540	+	1.93788i
$482$	−10.3488	−	10.3488i	−0.471375	−	0.471375i
$483$	−0.145058	−	0.0744535i	−0.00660037	−	0.00338775i
$484$		−	10.6476i		−	0.483981i
$485$	14.2700	+	18.8621i	0.647966	+	0.856484i
$486$	−0.981250	−	6.82474i	−0.0445104	−	0.309577i
$487$	3.88749	+	1.44996i	0.176159	+	0.0657039i	0.435996	−	0.899949i	$-0.356396\pi$
$487$	3.88749	+	1.44996i	0.176159	+	0.0657039i	−0.259837	+	0.965652i	$0.583669\pi$
$488$	2.89702	−	1.58189i	0.131142	−	0.0716089i
$489$	4.47937	+	2.04566i	0.202564	+	0.0925079i
$490$	13.6670	−	7.55306i	0.617412	−	0.341212i
$491$	−2.30000	+	15.9968i	−0.103797	+	0.721927i	0.869758	+	0.493478i	$0.164275\pi$
$491$	−2.30000	+	15.9968i	−0.103797	+	0.721927i	−0.973556	+	0.228449i	$0.926634\pi$
$492$	1.11326	−	2.03878i	0.0501896	−	0.0919153i
$493$	−11.7919	−	0.843374i	−0.531081	−	0.0379837i
$494$	−42.9045	+	27.5731i	−1.93037	+	1.24057i
$495$	2.08653	−	3.28323i	0.0937826	−	0.147570i
$496$	−4.22688	−	4.87808i	−0.189793	−	0.219032i
$497$	0.337711	+	0.184404i	0.0151484	+	0.00827165i
$498$	−0.0443569	−	0.0592538i	−0.00198768	−	0.00265523i
$499$	−19.5576	−	16.9468i	−0.875520	−	0.758642i	0.0960547	−	0.995376i	$-0.469378\pi$
$499$	−19.5576	−	16.9468i	−0.875520	−	0.758642i	−0.971575	+	0.236734i	$0.923923\pi$
$500$	7.19205	−	8.56005i	0.321638	−	0.382817i
$501$	−5.39848	−	1.58514i	−0.241186	−	0.0708187i
$502$	−7.97594	+	21.3843i	−0.355984	+	0.954429i
$503$	−1.72430	−	1.29080i	−0.0768829	−	0.0575538i	0.560145	−	0.828395i	$-0.310745\pi$
$503$	−1.72430	−	1.29080i	−0.0768829	−	0.0575538i	−0.637028	+	0.770841i	$0.719836\pi$
$504$	0.318160	+	0.204469i	0.0141720	+	0.00910777i
$505$	−25.2318	+	11.6781i	−1.12280	+	0.519671i
$506$	−1.80872	+	2.19863i	−0.0804074	+	0.0977411i
$507$	−5.91404	+	5.91404i	−0.262652	+	0.262652i
$508$	0.767358	+	3.52749i	0.0340460	+	0.156507i
$509$	−6.88410	+	0.989785i	−0.305133	+	0.0438714i	−0.293180	−	0.956057i	$-0.594714\pi$
$509$	−6.88410	+	0.989785i	−0.305133	+	0.0438714i	−0.0119521	+	0.999929i	$0.503805\pi$
$510$	0.158939	+	2.07424i	0.00703795	+	0.0918489i
$511$	−0.00508652	+	0.0173231i	−0.000225014	+	0.000766329i
$512$	0.349464	+	0.936950i	0.0154443	+	0.0414077i
$513$	0.849792	+	11.8816i	0.0375192	+	0.524588i
$514$	−2.48620	−	0.357461i	−0.109661	−	0.0157669i
$515$	0.622627	−	9.37393i	0.0274362	−	0.413065i
$516$	−2.32138	+	2.01149i	−0.102193	+	0.0885508i
$517$	5.96290	+	1.29715i	0.262248	+	0.0570485i
$518$	−0.952383	−	0.207178i	−0.0418453	−	0.00910288i
$519$	1.70387	−	1.47641i	0.0747916	−	0.0648073i
$520$	9.85254	+	11.2545i	0.432063	+	0.493542i
$521$	−28.2040	−	4.05513i	−1.23564	−	0.177658i	−0.506632	−	0.862163i	$-0.669110\pi$
$521$	−28.2040	−	4.05513i	−1.23564	−	0.177658i	−0.729009	+	0.684504i	$0.760019\pi$
$522$	0.699881	+	9.78562i	0.0306330	+	0.428305i
$523$	−13.8263	−	37.0697i	−0.604581	−	1.62094i	−0.772407	−	0.635128i	$-0.780947\pi$
$523$	−13.8263	−	37.0697i	−0.604581	−	1.62094i	0.167826	−	0.985817i	$-0.446325\pi$
$524$	2.63744	−	8.98230i	0.115217	−	0.392393i
$525$	−0.0462337	+	0.163583i	−0.00201780	+	0.00713934i
$526$	−22.0859	+	3.17547i	−0.962990	+	0.138457i
$527$	−4.84524	−	22.2732i	−0.211062	−	0.970237i
$528$	−0.110587	+	0.110587i	−0.00481267	+	0.00481267i
$529$	−22.5686	+	4.43381i	−0.981243	+	0.192774i
$530$	−5.09970	−	11.0184i	−0.221517	−	0.478610i
$531$	−27.9385	−	17.9550i	−1.21243	−	0.779181i
$532$	−0.787661	−	0.589636i	−0.0341494	−	0.0255640i
$533$	20.6123	−	55.2638i	0.892820	−	2.39374i
$534$	0.480795	+	0.141174i	0.0208060	+	0.00610920i
$535$	−11.6387	+	11.7575i	−0.503185	+	0.508319i
$536$	4.27084	+	3.70071i	0.184472	+	0.159846i
$537$	−1.29948	−	1.73591i	−0.0560769	−	0.0749100i
$538$	21.1808	+	11.5656i	0.913169	+	0.498628i
$539$	2.71480	+	3.13304i	0.116935	+	0.134950i
$540$	3.40997	−	0.759943i	0.146742	−	0.0327027i
$541$	10.7245	−	6.89224i	0.461084	−	0.296320i	−0.289402	−	0.957208i	$-0.593456\pi$
$541$	10.7245	−	6.89224i	0.461084	−	0.296320i	0.750485	+	0.660887i	$0.229820\pi$
$542$	5.60311	+	0.400742i	0.240674	+	0.0172134i
$543$	0.663446	−	1.21501i	0.0284712	−	0.0521411i
$544$	−0.502576	+	3.49550i	−0.0215478	+	0.149868i
$545$	6.42468	−	22.2985i	0.275203	−	0.955165i
$546$	−0.206873	−	0.0944759i	−0.00885337	−	0.00404320i
$547$	8.36502	−	4.56765i	0.357663	−	0.195299i	−0.290364	−	0.956916i	$-0.593776\pi$
$547$	8.36502	−	4.56765i	0.357663	−	0.195299i	0.648027	+	0.761618i	$0.275595\pi$
$548$	7.07310	+	2.63813i	0.302148	+	0.112695i
$549$	−1.37665	−	9.57478i	−0.0587538	−	0.408642i
$550$	2.61944	+	1.39599i	0.111693	+	0.0595253i
$551$		−	25.5231i		−	1.08732i
$552$	−1.25751	+	0.122355i	−0.0535231	+	0.00520778i
$553$	−0.321852	−	0.321852i	−0.0136865	−	0.0136865i
$554$	0.0556501	−	0.0865933i	0.00236435	−	0.00367900i
$555$	−3.73052	+	2.42430i	−0.158352	+	0.102906i
$556$	1.71461	+	3.75448i	0.0727158	+	0.159225i
$557$	−1.99896	−	3.66082i	−0.0846985	−	0.155114i	0.831896	−	0.554931i	$-0.187255\pi$
$557$	−1.99896	−	3.66082i	−0.0846985	−	0.155114i	−0.916595	+	0.399817i	$0.869074\pi$
$558$	−17.7233	+	6.61043i	−0.750285	+	0.279842i
$559$	−51.0749	+	58.9436i	−2.16024	+	2.49305i
$560$	−0.137008	+	0.253968i	−0.00578966	+	0.0107321i
$561$	−0.529921	+	0.155599i	−0.0223733	+	0.00656939i
$562$	0.798388	−	11.1629i	0.0336780	−	0.470880i
$563$	−9.02278	+	41.4770i	−0.380265	+	1.74805i	0.246786	+	0.969070i	$0.420626\pi$
$563$	−9.02278	+	41.4770i	−0.380265	+	1.74805i	−0.627050	+	0.778979i	$0.715738\pi$
$564$	1.46411	+	2.27821i	0.0616503	+	0.0959298i
$565$	−11.5068	+	4.35847i	−0.484094	+	0.183362i
$566$	4.10666	+	13.9860i	0.172616	+	0.587876i
$567$	0.865764	−	0.648103i	0.0363587	−	0.0272178i
$568$	2.97398	−	0.212703i	0.124786	−	0.00892484i
$569$	0.942475	−	2.06373i	0.0395106	−	0.0865161i	−0.888848	−	0.458203i	$-0.848493\pi$
$569$	0.942475	−	2.06373i	0.0395106	−	0.0865161i	0.928358	+	0.371687i	$0.121221\pi$
$570$	−4.44228	+	0.661735i	−0.186066	+	0.0277170i
$571$	11.5977	−	5.29651i	0.485350	−	0.221652i	−0.157684	−	0.987490i	$-0.550403\pi$
$571$	11.5977	−	5.29651i	0.485350	−	0.221652i	0.643034	+	0.765838i	$0.277675\pi$
$572$	−2.37978	+	3.17901i	−0.0995034	+	0.132921i
$573$	3.10906	−	0.676334i	0.129883	−	0.0282542i
$574$	1.13790			0.0474950
$575$	9.17746	+	22.1534i	0.382727	+	0.923862i
$576$	2.93060			0.122108
$577$	−42.2528	+	9.19154i	−1.75901	+	0.382649i	−0.972127	−	0.234456i	$-0.924669\pi$
$577$	−42.2528	+	9.19154i	−1.75901	+	0.382649i	−0.786881	+	0.617105i	$0.788305\pi$
$578$	2.71409	−	3.62559i	0.112891	−	0.150805i
$579$	2.93430	−	1.34005i	0.121946	−	0.0556907i
$580$	−7.40388	+	1.10291i	−0.307430	+	0.0457957i
$581$	0.0150621	−	0.0329813i	0.000624879	−	0.00136830i
$582$	−2.77949	+	0.198793i	−0.115214	+	0.00824025i
$583$	2.58042	−	1.93168i	0.106870	−	0.0800021i
$584$	0.0394147	+	0.134234i	0.00163099	+	0.00555465i
$585$	40.9932	−	15.5272i	1.69486	−	0.641969i
$586$	4.05227	+	6.30545i	0.167398	+	0.260476i
$587$	−5.80631	+	26.6912i	−0.239652	+	1.10166i	0.687268	+	0.726404i	$0.258810\pi$
$587$	−5.80631	+	26.6912i	−0.239652	+	1.10166i	−0.926920	+	0.375259i	$0.877554\pi$
$588$	−0.131246	+	1.83505i	−0.00541248	+	0.0756763i
$589$	47.2178	−	13.8644i	1.94558	−	0.571273i
$590$	12.0311	−	22.3017i	0.495312	−	0.918146i
$591$	−1.28962	+	1.48830i	−0.0530479	+	0.0612205i
$592$	−7.07628	+	2.63932i	−0.290833	+	0.108475i
$593$	−6.95856	−	12.7437i	−0.285754	−	0.523319i	0.694891	−	0.719115i	$-0.255453\pi$
$593$	−6.95856	−	12.7437i	−0.285754	−	0.523319i	−0.980645	+	0.195796i	$0.937271\pi$
$594$	0.385299	+	0.843688i	0.0158090	+	0.0346169i
$595$	−0.854480	+	0.555290i	−0.0350302	+	0.0227647i
$596$	8.37405	−	13.0303i	0.343014	−	0.533741i
$597$	1.08086	+	1.08086i	0.0442368	+	0.0442368i
$598$	−31.1630	+	7.61930i	−1.27435	+	0.311577i
$599$		−	9.35522i		−	0.382244i	−0.981566	−	0.191122i	$-0.938787\pi$
$599$		−	9.35522i		−	0.382244i	0.981566	−	0.191122i	$-0.0612126\pi$
$600$	0.383920	+	1.26004i	0.0156735	+	0.0514411i
$601$	−0.785354	−	5.46226i	−0.0320353	−	0.222810i	0.967514	−	0.252816i	$-0.0813566\pi$
$601$	−0.785354	−	5.46226i	−0.0320353	−	0.222810i	−0.999550	+	0.0300055i	$0.990448\pi$
$602$	−1.40979	−	0.525824i	−0.0574587	−	0.0214310i
$603$	14.5354	−	7.93694i	0.591928	−	0.323217i
$604$	−10.6626	−	4.86944i	−0.433855	−	0.198135i
$605$	6.59165	−	22.8781i	0.267989	−	0.930126i
$606$	0.466182	−	3.24236i	0.0189373	−	0.131712i
$607$	−13.4557	+	24.6423i	−0.546150	+	1.00020i	0.448188	+	0.893939i	$0.352069\pi$
$607$	−13.4557	+	24.6423i	−0.546150	+	1.00020i	−0.994338	+	0.106260i	$0.966112\pi$
$608$	−7.60475	−	0.543903i	−0.308413	−	0.0220582i
$609$	0.0957465	−	0.0615326i	0.00387985	−	0.00249343i
$610$	7.20403	−	1.60548i	0.291683	−	0.0650040i
$611$	45.0303	+	51.9678i	1.82173	+	2.10239i
$612$	9.08330	+	4.95986i	0.367170	+	0.200490i
$613$	−9.12009	−	12.1830i	−0.368357	−	0.492067i	0.577618	−	0.816307i	$-0.303982\pi$
$613$	−9.12009	−	12.1830i	−0.368357	−	0.492067i	−0.945975	+	0.324240i	$0.894891\pi$
$614$	−6.22626	−	5.39508i	−0.251271	−	0.217728i
$615$	3.65417	−	3.69146i	0.147350	−	0.148854i
$616$	−0.0735071	−	0.0215836i	−0.00296168	−	0.000869629i
$617$	−2.33237	+	6.25332i	−0.0938976	+	0.251749i	−0.975405	−	0.220422i	$-0.929257\pi$
$617$	−2.33237	+	6.25332i	−0.0938976	+	0.251749i	0.881507	+	0.472171i	$0.156529\pi$
$618$	0.886073	+	0.663306i	0.0356431	+	0.0266821i
$619$	36.9144	+	23.7234i	1.48371	+	0.953526i	0.996788	+	0.0800828i	$0.0255185\pi$
$619$	36.9144	+	23.7234i	1.48371	+	0.953526i	0.486927	+	0.873443i	$0.338118\pi$
$620$	−6.06224	−	13.0981i	−0.243466	−	0.526033i
$621$	−1.92634	+	7.24115i	−0.0773013	+	0.290577i
$622$	1.74794	−	1.74794i	0.0700859	−	0.0700859i
$623$	0.0521771	+	0.239854i	0.00209043	+	0.00960955i
$624$	−1.74435	+	0.250799i	−0.0698298	+	0.0100400i
$625$	20.7526	−	13.9402i	0.830104	−	0.557609i
$626$	4.95341	−	16.8698i	0.197978	−	0.674252i
$627$	−0.416691	−	1.11719i	−0.0166410	−	0.0446163i
$628$	0.398784	+	5.57573i	0.0159132	+	0.222496i
$629$	−26.3996	−	3.79569i	−1.05262	−	0.151344i
$630$	0.557036	+	0.636299i	0.0221929	+	0.0253508i
$631$	32.2567	−	27.9506i	1.28412	−	1.11269i	0.296631	−	0.954992i	$-0.404137\pi$
$631$	32.2567	−	27.9506i	1.28412	−	1.11269i	0.987487	−	0.157702i	$-0.0504085\pi$
$632$	−3.44642	−	0.749723i	−0.137091	−	0.0298224i
$633$	−1.70951	−	0.371882i	−0.0679470	−	0.0147810i
$634$	10.0307	−	8.69166i	0.398370	−	0.345190i
$635$	−0.534984	+	8.05443i	−0.0212302	+	0.319630i
$636$	1.41590	+	0.203576i	0.0561441	+	0.00807231i
$637$	3.33254	+	46.5950i	0.132040	+	1.84616i
$638$	−0.694493	−	1.86201i	−0.0274952	−	0.0737176i
$639$	2.46172	−	8.38386i	0.0973843	−	0.331660i
$640$	0.170839	+	2.22953i	0.00675299	+	0.0881300i
$641$	19.9783	−	2.87245i	0.789097	−	0.113455i	0.264029	−	0.964515i	$-0.414949\pi$
$641$	19.9783	−	2.87245i	0.789097	−	0.113455i	0.525069	+	0.851060i	$0.324040\pi$
$642$	−0.414320	−	1.90460i	−0.0163519	−	0.0751684i
$643$	20.4256	−	20.4256i	0.805508	−	0.805508i	−0.178442	−	0.983950i	$-0.557106\pi$
$643$	20.4256	−	20.4256i	0.805508	−	0.805508i	0.983950	+	0.178442i	$0.0571058\pi$
$644$	−0.347822	−	0.511925i	−0.0137061	−	0.0201727i
$645$	−6.23312	+	2.88490i	−0.245429	+	0.113593i
$646$	−22.6502	−	14.5564i	−0.891160	−	0.572714i
$647$	−32.6822	−	24.4656i	−1.28487	−	0.961843i	−0.999995	−	0.00327851i	$-0.998956\pi$
$647$	−32.6822	−	24.4656i	−1.28487	−	0.961843i	−0.284877	−	0.958564i	$-0.591953\pi$
$648$	2.92857	−	7.85181i	0.115045	−	0.308448i
$649$	6.45486	+	1.89532i	0.253376	+	0.0743978i
$650$	14.2024	+	30.2816i	0.557064	+	1.18774i
$651$	0.165846	+	0.143706i	0.00650002	+	0.00563230i
$652$	11.2018	+	14.9638i	0.438695	+	0.586027i
$653$	11.6901	+	6.38328i	0.457469	+	0.249797i	0.691422	−	0.722451i	$-0.256984\pi$
$653$	11.6901	+	6.38328i	0.457469	+	0.249797i	−0.233953	+	0.972248i	$0.575166\pi$
$654$	1.79040	+	2.06623i	0.0700103	+	0.0807962i
$655$	11.2277	−	17.6671i	0.438702	−	0.690312i
$656$	7.41768	−	4.76706i	0.289612	−	0.186122i
$657$	0.408949	+	0.0292486i	0.0159546	+	0.00114110i
$658$	−0.635765	+	1.16432i	−0.0247847	+	0.0453898i
$659$	4.09222	−	28.4620i	0.159410	−	1.10872i	−0.740313	−	0.672263i	$-0.765323\pi$
$659$	4.09222	−	28.4620i	0.159410	−	1.10872i	0.899723	−	0.436461i	$-0.143768\pi$
$660$	−0.306075	+	0.169152i	−0.0119139	+	0.00658423i
$661$	32.0385	+	14.6315i	1.24615	+	0.569098i	0.925733	−	0.378178i	$-0.123449\pi$
$661$	32.0385	+	14.6315i	1.24615	+	0.569098i	0.320419	+	0.947276i	$0.396176\pi$
$662$	−14.5605	+	7.95064i	−0.565910	+	0.309010i
$663$	−5.83102	−	2.17486i	−0.226458	−	0.0844645i
$664$	−0.0399843	−	0.278097i	−0.00155169	−	0.0107923i
$665$	−1.32739	−	1.75455i	−0.0514739	−	0.0680385i
$666$			22.1332i			0.857645i
$667$	5.22377	−	15.1812i	0.202265	−	0.587817i
$668$	−15.1016	−	15.1016i	−0.584297	−	0.584297i
$669$	−1.25050	+	1.94582i	−0.0483472	+	0.0752297i
$670$	6.88559	+	10.5955i	0.266013	+	0.409341i
$671$	0.813997	+	1.78240i	0.0314240	+	0.0688090i
$672$	−0.0162936	−	0.0298395i	−0.000628539	−	0.00115108i
$673$	4.02363	−	1.50074i	0.155099	−	0.0578491i	−0.270715	−	0.962659i	$-0.587260\pi$
$673$	4.02363	−	1.50074i	0.155099	−	0.0578491i	0.425815	+	0.904810i	$0.359988\pi$
$674$	−2.62559	+	3.03010i	−0.101134	+	0.116715i
$675$	7.79734	+	0.478167i	0.300120	+	0.0184047i
$676$	−30.4613	+	8.94424i	−1.17159	+	0.344009i
$677$	−1.57185	+	21.9773i	−0.0604111	+	0.844657i	0.873426	+	0.486957i	$0.161893\pi$
$677$	−1.57185	+	21.9773i	−0.0604111	+	0.844657i	−0.933837	+	0.357700i	$0.883561\pi$
$678$	0.308153	−	1.41656i	0.0118345	−	0.0544025i
$679$	−0.737992	−	1.14834i	−0.0283215	−	0.0440692i
$680$	−3.24384	+	7.19950i	−0.124396	+	0.276088i
$681$	−1.19054	−	4.05461i	−0.0456216	−	0.155373i
$682$	3.06746	−	2.29628i	0.117459	−	0.0879289i
$683$	20.7732	−	1.48573i	0.794864	−	0.0568498i	0.332001	−	0.943279i	$-0.392276\pi$
$683$	20.7732	−	1.48573i	0.794864	−	0.0568498i	0.462864	+	0.886429i	$0.346822\pi$
$684$	−9.28178	+	20.3243i	−0.354898	+	0.777117i
$685$	13.5645	+	10.0472i	0.518273	+	0.383885i
$686$	−1.64149	+	0.749645i	−0.0626726	+	0.0286216i
$687$	2.74380	−	3.66529i	0.104683	−	0.139840i
$688$	−11.3929	+	2.47838i	−0.434351	+	0.0944873i
$689$	36.3217			1.38375
$690$	−2.77771	−	0.515592i	−0.105746	−	0.0196282i
$691$	21.8423			0.830921			0.415461	−	0.909611i	$-0.363620\pi$
$691$	21.8423			0.830921			0.415461	+	0.909611i	$0.363620\pi$
$692$	8.36230	−	1.81911i	0.317887	−	0.0691520i
$693$	−0.134546	+	0.179733i	−0.00511099	+	0.00682748i
$694$	5.86701	−	2.67937i	0.222709	−	0.101708i
$695$	1.35982	+	9.12858i	0.0515810	+	0.346267i
$696$	0.366366	−	0.802231i	0.0138871	−	0.0304085i
$697$	31.0589	−	2.22137i	1.17644	−	0.0841405i
$698$	7.84343	−	5.87152i	0.296878	−	0.222240i
$699$	1.34606	+	4.58426i	0.0509127	+	0.173393i
$700$	−0.451610	+	0.460874i	−0.0170693	+	0.0174194i
$701$	−8.23528	−	12.8144i	−0.311042	−	0.483991i	0.650175	−	0.759785i	$-0.274696\pi$
$701$	−8.23528	−	12.8144i	−0.311042	−	0.483991i	−0.961217	+	0.275794i	$0.911059\pi$
$702$	−2.22161	+	10.2126i	−0.0838491	+	0.385448i
$703$	4.10781	−	57.4347i	0.154929	−	2.16619i
$704$	−0.569595	+	0.167248i	−0.0214674	+	0.00630341i
$705$	1.73551	+	5.80149i	0.0653629	+	0.218497i
$706$	−6.02200	+	6.94976i	−0.226641	+	0.261558i
$707$	1.50346	−	0.560760i	0.0565433	−	0.0210895i
$708$	1.43079	+	2.62029i	0.0537723	+	0.0984766i
$709$	9.41009	+	20.6052i	0.353403	+	0.773846i	0.999940	+	0.0109625i	$0.00348954\pi$
$709$	9.41009	+	20.6052i	0.353403	+	0.773846i	−0.646536	+	0.762883i	$0.723783\pi$
$710$	6.52176	+	1.38409i	0.244757	+	0.0519439i
$711$	−5.58822	+	8.69544i	−0.209575	+	0.326104i
$712$	1.34496	+	1.34496i	0.0504045	+	0.0504045i
$713$	30.9228	+	1.41742i	1.15807	+	0.0530829i
$714$		−	0.120063i		−	0.00449323i
$715$	−7.08138	+	5.35735i	−0.264828	+	0.200354i
$716$	−1.17139	−	8.14717i	−0.0437767	−	0.304474i
$717$	2.57813	+	0.961591i	0.0962819	+	0.0359113i
$718$	−5.10524	+	2.78767i	−0.190526	+	0.104035i
$719$	27.9232	+	12.7521i	1.04136	+	0.475573i	0.861308	−	0.508084i	$-0.169646\pi$
$719$	27.9232	+	12.7521i	1.04136	+	0.475573i	0.180053	+	0.983657i	$0.442373\pi$
$720$	6.29686	+	1.81426i	0.234670	+	0.0676134i
$721$	−0.0771623	+	0.536676i	−0.00287368	+	0.0199869i
$722$	18.7521	−	34.3419i	0.697881	−	1.27807i
$723$	3.84584	+	0.275060i	0.143028	+	0.0102296i
$724$	4.42057	−	2.84093i	0.164289	−	0.105582i
$725$	−16.5912	−	2.21378i	−0.616182	−	0.0822179i
$726$	1.83693	+	2.11993i	0.0681750	+	0.0786781i
$727$	−12.5485	−	6.85200i	−0.465398	−	0.254126i	0.229399	−	0.973332i	$-0.426324\pi$
$727$	−12.5485	−	6.85200i	−0.465398	−	0.254126i	−0.694797	+	0.719206i	$0.744506\pi$
$728$	−0.517337	−	0.691082i	−0.0191738	−	0.0256132i
$729$	−17.6272	−	15.2740i	−0.652858	−	0.565705i
$730$	0.00158794	+	0.312824i	5.87721e−5	+	0.0115782i
$731$	−39.5065	−	11.6002i	−1.46120	−	0.429048i
$732$	−0.303887	+	0.814752i	−0.0112320	+	0.0301141i
$733$	−2.78584	−	2.08545i	−0.102897	−	0.0770280i	0.546590	−	0.837400i	$-0.315926\pi$
$733$	−2.78584	−	2.08545i	−0.102897	−	0.0770280i	−0.649487	+	0.760372i	$0.725016\pi$
$734$	−0.944935	−	0.607273i	−0.0348782	−	0.0224149i
$735$	−1.41804	+	3.86166i	−0.0523051	+	0.142439i
$736$	−4.41200	−	1.87997i	−0.162628	−	0.0692965i
$737$	−2.37217	+	2.37217i	−0.0873799	+	0.0873799i
$738$	−5.49275	−	25.2498i	−0.202191	−	0.929456i
$739$	−3.55550	+	0.511203i	−0.130791	+	0.0188049i	−0.207399	−	0.978256i	$-0.566500\pi$
$739$	−3.55550	+	0.511203i	−0.130791	+	0.0188049i	0.0766084	+	0.997061i	$0.475591\pi$
$740$	−16.8385	+	1.29025i	−0.618995	+	0.0474307i
$741$	3.78535	−	12.8917i	0.139058	−	0.473590i
$742$	0.244877	+	0.656541i	0.00898972	+	0.0241024i
$743$	−0.735949	−	10.2899i	−0.0269993	−	0.377500i	−0.992930	−	0.118700i	$-0.962127\pi$
$743$	−0.735949	−	10.2899i	−0.0269993	−	0.377500i	0.965931	−	0.258800i	$-0.0833271\pi$
$744$	1.68314	+	0.242000i	0.0617071	+	0.00887213i
$745$	26.0597	−	22.8135i	0.954754	−	0.835821i
$746$	−19.5236	+	16.9173i	−0.714809	+	0.619386i
$747$	−0.804554	−	0.175020i	−0.0294371	−	0.00640365i
$748$	−2.04850	−	0.445624i	−0.0749006	−	0.0162936i
$749$	0.721590	−	0.625261i	0.0263663	−	0.0228465i
$750$	0.0448519	+	2.94508i	0.00163776	+	0.107539i
$751$	−22.6842	−	3.26149i	−0.827758	−	0.119014i	−0.284602	−	0.958646i	$-0.591861\pi$
$751$	−22.6842	−	3.26149i	−0.827758	−	0.119014i	−0.543155	+	0.839632i	$0.682771\pi$
$752$	0.733332	+	10.2533i	0.0267419	+	0.373900i
$753$	−2.10124	−	5.63364i	−0.0765734	−	0.205301i
$754$	6.30900	−	21.4865i	0.229760	−	0.782492i
$755$	−19.8958	−	17.0637i	−0.724081	−	0.621013i
$756$	−0.199577	+	0.0286949i	−0.00725855	+	0.00104362i
$757$	2.33881	+	10.7513i	0.0850055	+	0.390764i	0.999917	−	0.0128906i	$-0.00410333\pi$
$757$	2.33881	+	10.7513i	0.0850055	+	0.390764i	−0.914911	+	0.403655i	$0.867740\pi$
$758$	−13.7856	+	13.7856i	−0.500716	+	0.500716i
$759$	−0.0191946	−	0.749790i	−0.000696722	−	0.0272156i
$760$	−16.0033	−	5.87657i	−0.580502	−	0.213166i
$761$	21.8073	+	14.0147i	0.790512	+	0.508031i	0.872507	−	0.488601i	$-0.162493\pi$
$761$	21.8073	+	14.0147i	0.790512	+	0.508031i	−0.0819948	+	0.996633i	$0.526129\pi$
$762$	−0.761346	−	0.569937i	−0.0275807	−	0.0206466i
$763$	−0.468030	+	1.25484i	−0.0169438	+	0.0454282i
$764$	11.5882	+	3.40261i	0.419248	+	0.123102i
$765$	16.4464	+	16.2803i	0.594621	+	0.588615i
$766$	2.68269	+	2.32456i	0.0969295	+	0.0839899i
$767$	45.4289	+	60.6859i	1.64034	+	2.19124i
$768$	−0.231222	−	0.126257i	−0.00834350	−	0.00455590i
$769$	−15.1649	−	17.5013i	−0.546862	−	0.631112i	0.413287	−	0.910601i	$-0.364381\pi$
$769$	−15.1649	−	17.5013i	−0.546862	−	0.631112i	−0.960149	+	0.279489i	$0.909835\pi$
$770$	−0.144580	−	0.0918822i	−0.00521030	−	0.00331121i
$771$	0.556671	−	0.357751i	0.0200480	−	0.0128841i
$772$	12.2134	+	0.873523i	0.439572	+	0.0314388i
$773$	−11.3789	+	20.8390i	−0.409272	+	0.749526i	−0.998282	−	0.0586001i	$-0.981336\pi$
$773$	−11.3789	+	20.8390i	−0.409272	+	0.749526i	0.589009	+	0.808126i	$0.299518\pi$
$774$	−4.86275	+	33.8211i	−0.174788	+	1.21568i
$775$	−4.91701	−	31.8964i	−0.176624	−	1.14575i
$776$	−9.62157	−	4.39403i	−0.345394	−	0.157736i
$777$	0.225362	−	0.123057i	0.00808481	−	0.00441464i
$778$	20.3763	+	7.59996i	0.730525	+	0.272472i
$779$	9.56720	+	66.5413i	0.342780	+	2.38409i
$780$	−3.90328	−	0.540998i	−0.139760	−	0.0193708i
$781$			1.76999i			0.0633353i
$782$	−10.4931	−	13.2939i	−0.375234	−	0.475390i
$783$	−3.69843	−	3.69843i	−0.132171	−	0.132171i
$784$	−3.77548	+	5.87476i	−0.134839	+	0.209813i
$785$	−2.59494	+	12.2272i	−0.0926173	+	0.436408i
$786$	1.02452	+	2.24339i	0.0365435	+	0.0800190i
$787$	−18.1169	−	33.1786i	−0.645796	−	1.18269i	−0.971460	−	0.237202i	$-0.923770\pi$
$787$	−18.1169	−	33.1786i	−0.645796	−	1.18269i	0.325664	−	0.945486i	$-0.394412\pi$
$788$	−7.00383	+	2.61229i	−0.249501	+	0.0930591i
$789$	3.84946	−	4.44251i	0.137044	−	0.158158i
$790$	−6.94106	−	3.74449i	−0.246952	−	0.133223i
$791$	0.681374	−	0.200069i	0.0242269	−	0.00711365i
$792$	−0.124111	+	1.73529i	−0.00441008	+	0.0616609i
$793$	−4.69344	+	21.5754i	−0.166669	+	0.766165i
$794$	−4.98045	−	7.74974i	−0.176750	−	0.275028i
$795$	2.91626	+	1.31396i	0.103429	+	0.0466015i
$796$	1.63467	+	5.56717i	0.0579393	+	0.197323i
$797$	23.3197	−	17.4569i	0.826026	−	0.618356i	−0.100351	−	0.994952i	$-0.531997\pi$
$797$	23.3197	−	17.4569i	0.826026	−	0.618356i	0.926377	+	0.376597i	$0.122906\pi$
$798$	0.258548	−	0.0184917i	0.00915249	−	0.000654599i
$799$	−15.0802	+	33.0210i	−0.533499	+	1.16820i
$800$	−1.01317	+	4.89627i	−0.0358210	+	0.173109i
$801$	5.07045	−	2.31560i	0.179155	−	0.0818176i
$802$	11.2823	−	15.0714i	0.398392	−	0.532189i
$803$	−0.0811532	+	0.0176538i	−0.00286384	+	0.000622989i
$804$	−1.48877			−0.0525050
$805$	−0.430432	−	1.31528i	−0.0151707	−	0.0463576i
$806$	43.1772			1.52085
$807$	−6.21240	+	1.35143i	−0.218687	+	0.0475724i
$808$	7.45143	−	9.95395i	0.262140	−	0.350179i
$809$	−31.6013	+	14.4318i	−1.11104	+	0.507396i	−0.884470	−	0.466598i	$-0.845480\pi$
$809$	−31.6013	+	14.4318i	−1.11104	+	0.507396i	−0.226573	+	0.973994i	$0.572752\pi$
$810$	11.1534	−	15.0579i	0.391889	−	0.529080i
$811$	−17.1055	+	37.4559i	−0.600656	+	1.31525i	0.328129	+	0.944633i	$0.393582\pi$
$811$	−17.1055	+	37.4559i	−0.600656	+	1.31525i	−0.928785	+	0.370620i	$0.879145\pi$
$812$	0.430918	−	0.0308199i	0.0151223	−	0.00108157i
$813$	−1.18472	+	0.886867i	−0.0415498	+	0.0311038i
$814$	−1.26314	−	4.30185i	−0.0442729	−	0.150780i
$815$	14.8051	+	39.0868i	0.518599	+	1.36915i
$816$	−0.502984	−	0.782658i	−0.0176080	−	0.0273985i
$817$	18.8956	−	86.8617i	0.661074	−	3.03891i
$818$	1.37200	−	19.1830i	0.0479707	−	0.670718i
$819$	−2.42741	+	0.712753i	−0.0848207	+	0.0249056i
$820$	18.8893	−	5.65069i	0.659641	−	0.197331i
$821$	8.53225	−	9.84674i	0.297778	−	0.343654i	−0.587068	−	0.809537i	$-0.699718\pi$
$821$	8.53225	−	9.84674i	0.297778	−	0.343654i	0.884846	+	0.465884i	$0.154263\pi$
$822$	−1.86339	+	0.695007i	−0.0649931	+	0.0242412i
$823$	13.7301	+	25.1448i	0.478601	+	0.876492i	0.999735	+	0.0230172i	$0.00732723\pi$
$823$	13.7301	+	25.1448i	0.478601	+	0.876492i	−0.521134	+	0.853475i	$0.674491\pi$
$824$	1.74532	+	3.82171i	0.0608011	+	0.133136i
$825$	−0.762369	+	0.173967i	−0.0265423	+	0.00605677i
$826$	−0.790664	+	1.23030i	−0.0275107	+	0.0428075i
$827$	−26.4815	−	26.4815i	−0.920852	−	0.920852i	0.0762377	−	0.997090i	$-0.475709\pi$
$827$	−26.4815	−	26.4815i	−0.920852	−	0.920852i	−0.997090	+	0.0762377i	$0.975709\pi$
$828$	−9.68055	+	10.1892i	−0.336422	+	0.354100i
$829$			24.3473i			0.845617i	0.906219	+	0.422809i	$0.138956\pi$
$829$			24.3473i			0.845617i	−0.906219	+	0.422809i	$0.861044\pi$
$830$	0.0862500	−	0.622290i	0.00299378	−	0.0216000i
$831$	0.00385923	+	0.0268415i	0.000133875	+	0.000931123i
$832$	−6.26758	−	2.33768i	−0.217289	−	0.0810446i
$833$	−21.6447	+	11.8189i	−0.749944	+	0.409500i
$834$	−0.989107	−	0.451710i	−0.0342500	−	0.0156414i
$835$	−23.0992	−	41.7971i	−0.799379	−	1.44645i
$836$	0.644122	−	4.47996i	0.0222774	−	0.154943i
$837$	4.83308	−	8.85112i	0.167056	−	0.305940i
$838$	11.8304	+	0.846130i	0.408676	+	0.0292291i
$839$	45.1373	−	29.0080i	1.55831	−	1.00147i	0.575295	−	0.817946i	$-0.304887\pi$
$839$	45.1373	−	29.0080i	1.55831	−	1.00147i	0.983016	−	0.183520i	$-0.0587492\pi$
$840$	−0.0165366	−	0.0742019i	−0.000570566	−	0.00256021i
$841$	−11.6521	−	13.4472i	−0.401796	−	0.463697i
$842$	−20.8897	−	11.4066i	−0.719907	−	0.393099i
$843$	1.76688	+	2.36028i	0.0608546	+	0.0812922i
$844$	−5.01877	−	4.34879i	−0.172753	−	0.149691i
$845$	−70.9881	+	0.360344i	−2.44207	+	0.0123962i
$846$	28.9048	+	8.48723i	0.993769	+	0.291797i
$847$	−0.480194	+	1.28745i	−0.0164997	+	0.0442373i
$848$	4.34677	+	3.25395i	0.149269	+	0.111741i
$849$	−3.23052	−	2.07613i	−0.110871	−	0.0712525i
$850$	−11.4269	+	13.4611i	−0.391941	+	0.461713i
$851$	14.1984	−	33.3215i	0.486714	−	1.14225i
$852$	−0.555424	+	0.555424i	−0.0190285	+	0.0190285i
$853$	−0.114803	−	0.527741i	−0.00393078	−	0.0180695i	0.975140	−	0.221591i	$-0.0711250\pi$
$853$	−0.114803	−	0.527741i	−0.00393078	−	0.0180695i	−0.979070	+	0.203521i	$0.934761\pi$
$854$	−0.421634	+	0.0606218i	−0.0144280	+	0.00207443i
$855$	−32.5256	+	37.9238i	−1.11235	+	1.29697i
$856$	2.08443	−	7.09891i	0.0712443	−	0.242636i
$857$	0.171424	+	0.459605i	0.00585572	+	0.0156998i	0.939845	−	0.341602i	$-0.110969\pi$
$857$	0.171424	+	0.459605i	0.00585572	+	0.0156998i	−0.933989	+	0.357302i	$0.883697\pi$
$858$	−0.0746327	−	1.04350i	−0.00254792	−	0.0356246i
$859$	−33.8927	−	4.87303i	−1.15640	−	0.166266i	−0.462692	−	0.886519i	$-0.653116\pi$
$859$	−33.8927	−	4.87303i	−1.15640	−	0.166266i	−0.693711	+	0.720253i	$0.744025\pi$
$860$	−26.0138	−	1.72787i	−0.887065	−	0.0589199i
$861$	−0.226556	+	0.196312i	−0.00772100	+	0.00669029i
$862$	−31.5023	−	6.85290i	−1.07297	−	0.233411i
$863$	20.5523	+	4.47088i	0.699609	+	0.152191i	0.548283	−	0.836293i	$-0.315282\pi$
$863$	20.5523	+	4.47088i	0.699609	+	0.152191i	0.151327	+	0.988484i	$0.451645\pi$
$864$	−1.18078	+	1.02315i	−0.0401710	+	0.0348084i
$865$	19.0939	+	1.26824i	0.649212	+	0.0431214i
$866$	−6.52782	−	0.938559i	−0.221824	−	0.0318935i
$867$	0.0851171	+	1.19009i	0.00289073	+	0.0404177i
$868$	0.291096	+	0.780459i	0.00988045	+	0.0264905i
$869$	0.589889	−	2.00898i	0.0200106	−	0.0681499i
$870$	1.28384	−	1.49691i	0.0435262	−	0.0507501i
$871$	−37.4176	+	5.37984i	−1.26785	+	0.182289i
$872$	2.20598	+	10.1407i	0.0747038	+	0.343408i
$873$	−21.9190	+	21.9190i	−0.741847	+	0.741847i
$874$	27.0116	−	24.6439i	0.913681	−	0.833591i
$875$	−1.25567	+	0.710682i	−0.0424495	+	0.0240254i
$876$	−0.0310057	−	0.0199261i	−0.00104759	−	0.000673242i
$877$	−10.9707	−	8.21259i	−0.370455	−	0.277319i	0.397788	−	0.917477i	$-0.369778\pi$
$877$	−10.9707	−	8.21259i	−0.370455	−	0.277319i	−0.768243	+	0.640158i	$0.778869\pi$
$878$	−14.0849	+	37.7629i	−0.475341	+	1.27444i
$879$	−1.89463	−	0.556314i	−0.0639043	−	0.0187640i
$880$	−1.32741	+	0.00673808i	−0.0447469	+	0.000227141i
$881$	−1.51075	−	1.30907i	−0.0508985	−	0.0441038i	0.629040	−	0.777373i	$-0.283448\pi$
$881$	−1.51075	−	1.30907i	−0.0508985	−	0.0441038i	−0.679939	+	0.733269i	$0.737994\pi$
$882$	12.2644	+	16.3834i	0.412965	+	0.551657i
$883$	−13.4708	−	7.35560i	−0.453328	−	0.247536i	0.236328	−	0.971673i	$-0.424056\pi$
$883$	−13.4708	−	7.35560i	−0.453328	−	0.247536i	−0.689655	+	0.724138i	$0.742238\pi$
$884$	−15.4698	−	17.8531i	−0.520305	−	0.600464i
$885$	1.45212	+	6.51588i	0.0488126	+	0.219029i
$886$	−0.295956	+	0.190199i	−0.00994283	+	0.00638987i
$887$	−9.53096	−	0.681668i	−0.320018	−	0.0228882i	−0.0895939	−	0.995978i	$-0.528557\pi$
$887$	−9.53096	−	0.681668i	−0.320018	−	0.0228882i	−0.230424	+	0.973090i	$0.574011\pi$
$888$	0.953550	−	1.74630i	0.0319990	−	0.0586019i
$889$	0.0663007	−	0.461132i	0.00222365	−	0.0154659i
$890$	2.05724	+	3.72250i	0.0689587	+	0.124778i
$891$	4.52526	+	2.06662i	0.151602	+	0.0692343i
$892$	−7.70581	+	4.20769i	−0.258010	+	0.140884i
$893$	−73.4315	−	27.3885i	−2.45729	−	0.916522i
$894$	0.580724	+	4.03903i	0.0194223	+	0.135085i
$895$	2.52679	−	18.2307i	0.0844613	−	0.609384i
$896$		−	0.129051i		−	0.00431130i
$897$	4.89006	−	6.89328i	0.163274	−	0.230160i
$898$	6.06613	+	6.06613i	0.202429	+	0.202429i
$899$	−11.6821	+	18.1777i	−0.389619	+	0.606260i
$900$	12.4067	+	7.79645i	0.413555	+	0.259882i
$901$	7.96557	+	17.4422i	0.265372	+	0.581083i
$902$	2.50858	+	4.59411i	0.0835265	+	0.152967i
$903$	0.371405	−	0.138527i	0.0123596	−	0.00460988i
$904$	3.60355	−	4.15871i	0.119852	−	0.138317i
$905$	11.2570	−	3.36753i	0.374197	−	0.111940i
$906$	2.96300	−	0.870016i	0.0984392	−	0.0289044i
$907$	−1.30720	+	18.2770i	−0.0434049	+	0.606879i	0.928474	+	0.371398i	$0.121121\pi$
$907$	−1.30720	+	18.2770i	−0.0434049	+	0.606879i	−0.971879	+	0.235482i	$0.924333\pi$
$908$	3.40962	−	15.6738i	0.113152	−	0.520152i
$909$	−19.7005	−	30.6545i	−0.653423	−	1.01675i
$910$	−0.683752	−	1.80517i	−0.0226662	−	0.0598409i
$911$	1.13322	+	3.85940i	0.0375454	+	0.127868i	0.976133	−	0.217173i	$-0.0696834\pi$
$911$	1.13322	+	3.85940i	0.0375454	+	0.127868i	−0.938588	+	0.345040i	$0.887865\pi$
$912$	1.60794	−	1.20369i	0.0532442	−	0.0398581i
$913$	0.166363	−	0.0118985i	0.00550581	−	0.000393783i
$914$	−14.6745	+	32.1326i	−0.485388	+	1.06285i
$915$	−1.15734	+	1.56250i	−0.0382605	+	0.0516546i
$916$	15.8087	−	7.21961i	0.522336	−	0.238543i
$917$	−0.723996	+	0.967146i	−0.0239085	+	0.0319380i
$918$	−5.39142	+	1.17283i	−0.177943	+	0.0387092i
$919$	−49.6259			−1.63701			−0.818504	−	0.574501i	$-0.805196\pi$
$919$	−49.6259			−1.63701			−0.818504	+	0.574501i	$0.805196\pi$
$920$	−8.31605	−	6.77077i	−0.274172	−	0.223226i
$921$	2.17041			0.0715176
$922$	−31.0055	+	6.74484i	−1.02111	+	0.222129i
$923$	−11.9525	+	15.9666i	−0.393420	+	0.525548i
$924$	0.0183589	−	0.00838422i	0.000603963	−	0.000275821i
$925$	−36.9789	−	7.65195i	−1.21586	−	0.251595i
$926$	7.50710	−	16.4383i	0.246699	−	0.540195i
$927$	12.2812	−	0.878368i	0.403367	−	0.0288494i
$928$	2.67993	−	2.00617i	0.0879731	−	0.0658559i
$929$	−11.9925	−	40.8428i	−0.393462	−	1.34001i	−0.883551	−	0.468336i	$-0.844854\pi$
$929$	−11.9925	−	40.8428i	−0.393462	−	1.34001i	0.490089	−	0.871673i	$-0.336964\pi$
$930$	3.46669	+	1.56197i	0.113677	+	0.0512189i
$931$	−28.7849	−	44.7903i	−0.943389	−	1.46794i
$932$	−3.85502	+	17.7212i	−0.126275	+	0.580478i
$933$	−0.0464582	+	0.649570i	−0.00152097	+	0.0212660i
$934$	27.0550	−	7.94406i	0.885266	−	0.259937i
$935$	−4.12566	−	2.22567i	−0.134924	−	0.0727872i
$936$	−12.8377	+	14.8155i	−0.419614	+	0.484261i
$937$	1.56109	−	0.582257i	0.0509987	−	0.0190215i	−0.323835	−	0.946113i	$-0.604972\pi$
$937$	1.56109	−	0.582257i	0.0509987	−	0.0190215i	0.374834	+	0.927092i	$0.377700\pi$
$938$	−0.349510	−	0.640080i	−0.0114119	−	0.0208993i
$939$	1.92417	+	4.21334i	0.0627929	+	0.137497i
$940$	−4.77189	+	22.4849i	−0.155642	+	0.733377i
$941$	−17.6697	+	27.4946i	−0.576017	+	0.896300i	−0.999956	−	0.00939108i	$-0.997011\pi$
$941$	−17.6697	+	27.4946i	−0.576017	+	0.896300i	0.423939	+	0.905691i	$0.360647\pi$
$942$	−1.04133	−	1.04133i	−0.0339283	−	0.0339283i
$943$	−7.92831	+	41.5370i	−0.258181	+	1.35263i
$944$			11.3324i			0.368837i
$945$	−0.446588	−	0.0618976i	−0.0145275	−	0.00201353i
$946$	−0.985032	−	6.85105i	−0.0320261	−	0.222747i
$947$	42.7356	+	15.9396i	1.38872	+	0.517966i	0.928994	−	0.370094i	$-0.120674\pi$
$947$	42.7356	+	15.9396i	1.38872	+	0.517966i	0.459727	+	0.888060i	$0.347947\pi$
$948$	0.815525	−	0.445311i	0.0264870	−	0.0144630i
$949$	−0.851276	−	0.388765i	−0.0276336	−	0.0126198i
$950$	−30.7477	−	22.5340i	−0.997587	−	0.731100i
$951$	−0.497619	+	3.46102i	−0.0161364	+	0.112231i
$952$	0.218412	−	0.399991i	0.00707876	−	0.0129638i
$953$	19.9814	+	1.42910i	0.647262	+	0.0462931i	0.391111	−	0.920344i	$-0.372091\pi$
$953$	19.9814	+	1.42910i	0.647262	+	0.0462931i	0.256152	+	0.966637i	$0.417545\pi$
$954$	13.3865	−	8.60295i	0.433403	−	0.278531i
$955$	22.7927	+	14.4850i	0.737555	+	0.468725i
$956$	6.83980	+	7.89355i	0.221215	+	0.255296i
$957$	0.459509	+	0.250911i	0.0148538	+	0.00811080i
$958$	−0.592920	−	0.792048i	−0.0191564	−	0.0255899i
$959$	−0.736265	−	0.637977i	−0.0237752	−	0.0206014i
$960$	−0.418655	−	0.414426i	−0.0135120	−	0.0133756i
$961$	−10.2303	−	3.00390i	−0.330011	−	0.0968999i
$962$	17.6553	−	47.3357i	0.569229	−	1.52616i
$963$	−17.3576	−	12.9937i	−0.559341	−	0.418717i
$964$	12.3121	+	7.91251i	0.396546	+	0.254845i
$965$	25.7018	+	9.43794i	0.827370	+	0.303818i
$966$	0.157569	+	0.0419176i	0.00506971	+	0.00134868i
$967$	12.7378	−	12.7378i	0.409619	−	0.409619i	−0.471987	−	0.881606i	$-0.656463\pi$
$967$	12.7378	−	12.7378i	0.409619	−	0.409619i	0.881606	+	0.471987i	$0.156463\pi$
$968$	2.26331	+	10.4043i	0.0727455	+	0.334406i
$969$	7.02094	−	1.00946i	0.225545	−	0.0324285i
$970$	−17.9533	−	15.3977i	−0.576445	−	0.494392i
$971$	−2.46160	+	8.38345i	−0.0789966	+	0.269038i	−0.989515	−	0.144431i	$-0.953865\pi$
$971$	−2.46160	+	8.38345i	−0.0789966	+	0.269038i	0.910518	+	0.413469i	$0.135683\pi$
$972$	2.40953	+	6.46020i	0.0772857	+	0.207211i
$973$	−0.0379992	−	0.531299i	−0.00121820	−	0.0170327i
$974$	−4.10686	−	0.590477i	−0.131592	−	0.0189201i
$975$	−8.05191	−	3.57884i	−0.257867	−	0.114615i
$976$	−2.49456	+	2.16155i	−0.0798489	+	0.0691895i
$977$	25.1014	+	5.46047i	0.803064	+	0.174696i	0.595322	−	0.803488i	$-0.297025\pi$
$977$	25.1014	+	5.46047i	0.803064	+	0.174696i	0.207743	+	0.978184i	$0.433388\pi$
$978$	−4.81184	−	1.04675i	−0.153866	−	0.0334714i
$979$	−0.853350	+	0.739432i	−0.0272732	+	0.0236324i
$980$	−11.7491	+	10.2856i	−0.375313	+	0.328561i
$981$	30.1038	+	4.32827i	0.961140	+	0.138191i
$982$	−1.15294	−	16.1202i	−0.0367917	−	0.514415i
$983$	17.7143	+	47.4938i	0.564997	+	1.51482i	0.834049	+	0.551691i	$0.186017\pi$
$983$	17.7143	+	47.4938i	0.564997	+	1.51482i	−0.269052	+	0.963126i	$0.586710\pi$
$984$	−0.654443	+	2.22883i	−0.0208629	+	0.0710524i
$985$	−16.6661	+	1.27704i	−0.531025	+	0.0406900i
$986$	11.7017	−	1.68245i	0.372658	−	0.0535802i
$987$	−0.0742884	−	0.341498i	−0.00236463	−	0.0108700i
$988$	36.0630	−	36.0630i	1.14732	−	1.14732i
$989$	29.0170	−	47.7981i	0.922686	−	1.51989i
$990$	−1.34095	+	3.65172i	−0.0426181	+	0.116059i
$991$	−30.7855	−	19.7846i	−0.977933	−	0.628479i	−0.0490277	−	0.998797i	$-0.515612\pi$
$991$	−30.7855	−	19.7846i	−0.977933	−	0.628479i	−0.928905	+	0.370318i	$0.879249\pi$
$992$	5.16720	+	3.86811i	0.164059	+	0.122813i
$993$	1.52734	−	4.09497i	0.0484688	−	0.129950i
$994$	−0.369191	−	0.108404i	−0.0117100	−	0.00343837i
$995$	0.0658574	+	12.9740i	0.00208782	+	0.411302i
$996$	0.0559385	+	0.0484710i	0.00177248	+	0.00153586i
$997$	1.99642	+	2.66691i	0.0632273	+	0.0844618i	0.831040	−	0.556212i	$-0.187746\pi$
$997$	1.99642	+	2.66691i	0.0632273	+	0.0844618i	−0.767813	+	0.640674i	$0.778655\pi$
$998$	22.7130	+	12.4022i	0.718967	+	0.392586i
$999$	−7.72733	−	8.91781i	−0.244482	−	0.282147i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.l.a.113.4	yes	240
5.2	odd	4	inner	230.2.l.a.67.3	yes	240
23.11	odd	22	inner	230.2.l.a.103.3	yes	240
115.57	even	44	inner	230.2.l.a.57.4	✓	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.l.a.57.4	✓	240	115.57	even	44	inner
230.2.l.a.67.3	yes	240	5.2	odd	4	inner
230.2.l.a.103.3	yes	240	23.11	odd	22	inner
230.2.l.a.113.4	yes	240	1.1	even	1	trivial

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 230 = 2 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	230.l (of order \(44\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.977147 + 0.212565i) q^{2} +(0.157878 - 0.210900i) q^{3} +(0.909632 - 0.415415i) q^{4} +(2.21166 - 0.329456i) q^{5} +(-0.109440 + 0.239640i) q^{6} +(-0.128723 + 0.00920642i) q^{7} +(-0.800541 + 0.599278i) q^{8} +(0.825644 + 2.81189i) q^{9} +(-2.09109 + 0.792050i) q^{10} +(-0.320947 - 0.499403i) q^{11} +(0.0559997 - 0.257426i) q^{12} +(0.477212 - 6.67230i) q^{13} +(0.123824 - 0.0363580i) q^{14} +(0.279690 - 0.518454i) q^{15} +(0.654861 - 0.755750i) q^{16} +(3.30878 - 1.23411i) q^{17} +(-1.40449 - 2.57212i) q^{18} +(3.16720 + 6.93520i) q^{19} +(1.87494 - 1.21844i) q^{20} +(-0.0183808 + 0.0286011i) q^{21} +(0.419768 + 0.419768i) q^{22} +(0.464439 + 4.77329i) q^{23} +0.263447i q^{24} +(4.78292 - 1.45729i) q^{25} +(0.951992 + 6.62125i) q^{26} +(1.46389 + 0.546002i) q^{27} +(-0.113266 + 0.0618477i) q^{28} +(-3.04513 - 1.39067i) q^{29} +(-0.163093 + 0.566058i) q^{30} +(0.918589 - 6.38893i) q^{31} +(-0.479249 + 0.877679i) q^{32} +(-0.155995 - 0.0111570i) q^{33} +(-2.97084 + 1.90924i) q^{34} +(-0.281658 + 0.0627700i) q^{35} +(1.91913 + 2.21480i) q^{36} +(-6.62864 - 3.61951i) q^{37} +(-4.56900 - 6.10347i) q^{38} +(-1.33185 - 1.15405i) q^{39} +(-1.57309 + 1.58914i) q^{40} +(8.46025 + 2.48415i) q^{41} +(0.0118811 - 0.0318546i) q^{42} +(-9.33381 - 6.98721i) q^{43} +(-0.499403 - 0.320947i) q^{44} +(2.75244 + 5.94693i) q^{45} +(-1.46846 - 4.56548i) q^{46} +(-7.26872 + 7.26872i) q^{47} +(-0.0559997 - 0.257426i) q^{48} +(-6.91227 + 0.993834i) q^{49} +(-4.36384 + 2.44067i) q^{50} +(0.262109 - 0.892662i) q^{51} +(-2.33768 - 6.26758i) q^{52} +(0.387357 + 5.41595i) q^{53} +(-1.54649 - 0.222352i) q^{54} +(-0.874359 - 0.998775i) q^{55} +(0.0975305 - 0.0845107i) q^{56} +(1.96266 + 0.426952i) q^{57} +(3.27115 + 0.711595i) q^{58} +(-8.56443 + 7.42112i) q^{59} +(0.0390417 - 0.587790i) q^{60} +(-3.26718 - 0.469749i) q^{61} +(0.460468 + 6.43818i) q^{62} +(-0.132166 - 0.354352i) q^{63} +(0.281733 - 0.959493i) q^{64} +(-1.14280 - 14.9141i) q^{65} +(0.154801 - 0.0222571i) q^{66} +(-1.20124 - 5.52199i) q^{67} +(2.49711 - 2.49711i) q^{68} +(1.08001 + 0.655647i) q^{69} +(0.261878 - 0.121206i) q^{70} +(-2.50826 - 1.61196i) q^{71} +(-2.34606 - 1.75624i) q^{72} +(0.0488904 - 0.131080i) q^{73} +(7.24654 + 2.12778i) q^{74} +(0.447773 - 1.23879i) q^{75} +(5.76197 + 4.99278i) q^{76} +(0.0459109 + 0.0613297i) q^{77} +(1.54672 + 0.844574i) q^{78} +(2.30971 + 2.66555i) q^{79} +(1.19935 - 1.88721i) q^{80} +(-7.04985 + 4.53067i) q^{81} +(-8.79495 - 0.629027i) q^{82} +(-0.134648 + 0.246590i) q^{83} +(-0.00483845 + 0.0336521i) q^{84} +(6.91133 - 3.81954i) q^{85} +(10.6057 + 4.84348i) q^{86} +(-0.774050 + 0.422663i) q^{87} +(0.556213 + 0.207457i) q^{88} +(-0.270692 - 1.88270i) q^{89} +(-3.95365 - 5.22595i) q^{90} +0.863268i q^{91} +(2.40537 + 4.14900i) q^{92} +(-1.20240 - 1.20240i) q^{93} +(5.55753 - 8.64768i) q^{94} +(9.28962 + 14.2949i) q^{95} +(0.109440 + 0.239640i) q^{96} +(5.06923 + 9.28359i) q^{97} +(6.54304 - 2.44043i) q^{98} +(1.13928 - 1.31480i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46}+ \cdots + 24 q^{98}+O(q^{100}) \) 240 * q - 8 * q^3 - 8 * q^6 - 8 * q^12 + 16 * q^13 + 24 * q^16 - 72 * q^18 - 80 * q^23 - 8 * q^26 + 16 * q^27 - 44 * q^28 + 24 * q^31 - 44 * q^33 - 8 * q^35 - 32 * q^36 - 88 * q^37 - 24 * q^41 - 8 * q^46 - 80 * q^47 + 8 * q^48 + 8 * q^50 + 16 * q^52 - 44 * q^56 - 88 * q^57 - 176 * q^61 - 32 * q^62 - 176 * q^66 + 24 * q^70 - 336 * q^71 + 16 * q^72 - 88 * q^73 - 36 * q^75 - 24 * q^77 + 40 * q^78 - 136 * q^81 + 40 * q^82 - 100 * q^85 - 44 * q^86 + 40 * q^87 + 8 * q^92 + 56 * q^93 + 52 * q^95 + 8 * q^96 + 132 * q^97 + 24 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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