LMFDB - Embedded newform 483.2.r.a.181.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(34,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 11, 9]))

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

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

chi := DirichletCharacter("483.34");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.r (of order $22$, degree $10$, 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:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$32$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			181.10
Character	$\chi$	$=$	483.181
Dual form			483.2.r.a.475.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.220403 - 1.53294i) q^{2} +(0.909632 + 0.415415i) q^{3} +(-0.382326 + 0.112261i) q^{4} +(0.186382 - 0.215096i) q^{5} +(0.436319 - 1.48597i) q^{6} +(0.0250753 - 2.64563i) q^{7} +(-1.03035 - 2.25615i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})$	\(q+(-0.220403 - 1.53294i) q^{2} +(0.909632 + 0.415415i) q^{3} +(-0.382326 + 0.112261i) q^{4} +(0.186382 - 0.215096i) q^{5} +(0.436319 - 1.48597i) q^{6} +(0.0250753 - 2.64563i) q^{7} +(-1.03035 - 2.25615i) q^{8} +(0.654861 + 0.755750i) q^{9} +(-0.370808 - 0.238304i) q^{10} +(-0.948957 - 0.136439i) q^{11} +(-0.394411 - 0.0567078i) q^{12} +(0.623508 - 0.970197i) q^{13} +(-4.06111 + 0.544666i) q^{14} +(0.258893 - 0.118233i) q^{15} +(-3.90187 + 2.50758i) q^{16} +(2.01171 + 0.590691i) q^{17} +(1.01418 - 1.17043i) q^{18} +(1.02062 - 0.299680i) q^{19} +(-0.0471118 + 0.103160i) q^{20} +(1.12184 - 2.39614i) q^{21} +1.48476i q^{22} +(-0.598181 - 4.75838i) q^{23} -2.48029i q^{24} +(0.700046 + 4.86893i) q^{25} +(-1.62467 - 0.741963i) q^{26} +(0.281733 + 0.959493i) q^{27} +(0.287415 + 1.01431i) q^{28} +(-6.80459 - 1.99801i) q^{29} +(-0.238304 - 0.370808i) q^{30} +(9.11136 - 4.16102i) q^{31} +(1.45544 + 1.67967i) q^{32} +(-0.806523 - 0.518321i) q^{33} +(0.462105 - 3.21401i) q^{34} +(-0.564392 - 0.498492i) q^{35} +(-0.335212 - 0.215428i) q^{36} +(2.02675 - 1.75619i) q^{37} +(-0.684336 - 1.49849i) q^{38} +(0.970197 - 0.623508i) q^{39} +(-0.677329 - 0.198882i) q^{40} +(-4.47983 - 3.88179i) q^{41} +(-3.92038 - 1.19160i) q^{42} +(7.02739 + 3.20930i) q^{43} +(0.378128 - 0.0543666i) q^{44} +0.284613 q^{45} +(-7.16245 + 1.96573i) q^{46} +10.3831i q^{47} +(-4.59095 + 0.660079i) q^{48} +(-6.99874 - 0.132680i) q^{49} +(7.30946 - 2.14625i) q^{50} +(1.58453 + 1.37300i) q^{51} +(-0.129468 + 0.440928i) q^{52} +(1.25899 + 1.95902i) q^{53} +(1.40875 - 0.643353i) q^{54} +(-0.206216 + 0.178687i) q^{55} +(-5.99479 + 2.66935i) q^{56} +(1.05288 + 0.151381i) q^{57} +(-1.56307 + 10.8714i) q^{58} +(-1.73918 + 2.70622i) q^{59} +(-0.0857088 + 0.0742671i) q^{60} +(4.20188 + 9.20084i) q^{61} +(-8.38674 - 13.0500i) q^{62} +(2.01586 - 1.71357i) q^{63} +(-3.82065 + 4.40927i) q^{64} +(-0.0924751 - 0.314941i) q^{65} +(-0.616792 + 1.35059i) q^{66} +(0.584473 - 0.0840345i) q^{67} -0.835441 q^{68} +(1.43258 - 4.57687i) q^{69} +(-0.639762 + 0.975045i) q^{70} +(-1.37921 - 9.59264i) q^{71} +(1.03035 - 2.25615i) q^{72} +(1.30910 + 4.45839i) q^{73} +(-3.13882 - 2.71980i) q^{74} +(-1.38584 + 4.71974i) q^{75} +(-0.356566 + 0.229151i) q^{76} +(-0.384764 + 2.50717i) q^{77} +(-1.16963 - 1.34983i) q^{78} +(-1.87378 + 2.91566i) q^{79} +(-0.187867 + 1.30664i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(-4.96317 + 7.72285i) q^{82} +(10.1587 + 11.7237i) q^{83} +(-0.159918 + 1.04205i) q^{84} +(0.502002 - 0.322617i) q^{85} +(3.37080 - 11.4799i) q^{86} +(-5.35967 - 4.64418i) q^{87} +(0.669930 + 2.28157i) q^{88} +(-5.28601 + 11.5747i) q^{89} +(-0.0627295 - 0.436293i) q^{90} +(-2.55115 - 1.67390i) q^{91} +(0.762882 + 1.75210i) q^{92} +10.0165 q^{93} +(15.9166 - 2.28847i) q^{94} +(0.125764 - 0.275386i) q^{95} +(0.626158 + 2.13250i) q^{96} +(6.11581 - 7.05802i) q^{97} +(1.33915 + 10.7579i) q^{98} +(-0.518321 - 0.806523i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) $ 320 * q + 4 * q^2 - 36 * q^4 + 12 * q^8 + 32 * q^9	$ 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) $ 320 * q + 4 * q^2 - 36 * q^4 + 12 * q^8 + 32 * q^9 - 4 * q^18 + 52 * q^23 - 68 * q^25 - 88 * q^28 + 24 * q^32 + 28 * q^35 + 14 * q^36 - 44 * q^37 + 110 * q^42 - 44 * q^43 - 154 * q^44 + 40 * q^46 - 16 * q^49 - 166 * q^50 - 44 * q^51 + 110 * q^56 - 44 * q^57 - 62 * q^58 - 84 * q^64 + 72 * q^70 - 40 * q^71 - 12 * q^72 + 22 * q^74 + 72 * q^77 - 8 * q^78 - 88 * q^79 - 32 * q^81 - 304 * q^85 + 330 * q^88 - 412 * q^92 + 24 * q^93 + 148 * q^95 - 60 * q^98 + 44 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$1$	$-1$	$e\left(\frac{5}{22}\right)$

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 $

$2$	−0.220403	−	1.53294i	−0.155848	−	1.08395i	−0.906182	−	0.422889i	$-0.861016\pi$
$2$	−0.220403	−	1.53294i	−0.155848	−	1.08395i	0.750333	−	0.661060i	$-0.229893\pi$
$3$	0.909632	+	0.415415i	0.525176	+	0.239840i
$3$	0.909632	+	0.415415i	0.525176	+	0.239840i
$4$	−0.382326	+	0.112261i	−0.191163	+	0.0561306i
$5$	0.186382	−	0.215096i	0.0833526	−	0.0961940i	−0.712541	−	0.701630i	$-0.752456\pi$
$5$	0.186382	−	0.215096i	0.0833526	−	0.0961940i	0.795894	+	0.605436i	$0.207001\pi$
$6$	0.436319	−	1.48597i	0.178126	−	0.606643i
$7$	0.0250753	−	2.64563i	0.00947758	−	0.999955i
$7$	0.0250753	−	2.64563i	0.00947758	−	0.999955i
$8$	−1.03035	−	2.25615i	−0.364284	−	0.797670i
$9$	0.654861	+	0.755750i	0.218287	+	0.251917i
$10$	−0.370808	−	0.238304i	−0.117260	−	0.0753582i
$11$	−0.948957	−	0.136439i	−0.286121	−	0.0411380i	−0.00224012	−	0.999997i	$-0.500713\pi$
$11$	−0.948957	−	0.136439i	−0.286121	−	0.0411380i	−0.283881	+	0.958859i	$0.591622\pi$
$12$	−0.394411	−	0.0567078i	−0.113857	−	0.0163701i
$13$	0.623508	−	0.970197i	0.172930	−	0.269084i	−0.743960	−	0.668224i	$-0.767055\pi$
$13$	0.623508	−	0.970197i	0.172930	−	0.269084i	0.916890	+	0.399140i	$0.130691\pi$
$14$	−4.06111	+	0.544666i	−1.08538	+	0.145568i
$15$	0.258893	−	0.118233i	0.0668459	−	0.0305275i
$16$	−3.90187	+	2.50758i	−0.975467	+	0.626894i
$17$	2.01171	+	0.590691i	0.487911	+	0.143264i	0.516430	−	0.856330i	$-0.327261\pi$
$17$	2.01171	+	0.590691i	0.487911	+	0.143264i	−0.0285186	+	0.999593i	$0.509079\pi$
$18$	1.01418	−	1.17043i	0.239045	−	0.275873i
$19$	1.02062	−	0.299680i	0.234145	−	0.0687513i	−0.162555	−	0.986700i	$-0.551973\pi$
$19$	1.02062	−	0.299680i	0.234145	−	0.0687513i	0.396700	+	0.917948i	$0.370155\pi$
$20$	−0.0471118	+	0.103160i	−0.0105345	+	0.0230674i
$21$	1.12184	−	2.39614i	0.244807	−	0.522880i
$22$			1.48476i			0.316552i
$23$	−0.598181	−	4.75838i	−0.124729	−	0.992191i
$23$	−0.598181	−	4.75838i	−0.124729	−	0.992191i
$24$		−	2.48029i		−	0.506287i
$25$	0.700046	+	4.86893i	0.140009	+	0.973785i
$26$	−1.62467	−	0.741963i	−0.318624	−	0.145511i
$27$	0.281733	+	0.959493i	0.0542195	+	0.184655i
$28$	0.287415	+	1.01431i	0.0543163	+	0.191687i
$29$	−6.80459	−	1.99801i	−1.26358	−	0.371021i	−0.419755	−	0.907637i	$-0.637884\pi$
$29$	−6.80459	−	1.99801i	−1.26358	−	0.371021i	−0.843826	+	0.536616i	$0.819702\pi$
$30$	−0.238304	−	0.370808i	−0.0435081	−	0.0676999i
$31$	9.11136	−	4.16102i	1.63645	−	0.747341i	0.636731	−	0.771086i	$-0.280286\pi$
$31$	9.11136	−	4.16102i	1.63645	−	0.747341i	0.999718	+	0.0237445i	$0.00755882\pi$
$32$	1.45544	+	1.67967i	0.257289	+	0.296927i
$33$	−0.806523	−	0.518321i	−0.140398	−	0.0902281i
$34$	0.462105	−	3.21401i	0.0792503	−	0.551198i
$35$	−0.564392	−	0.498492i	−0.0953997	−	0.0842605i
$36$	−0.335212	−	0.215428i	−0.0558687	−	0.0359046i
$37$	2.02675	−	1.75619i	0.333195	−	0.288715i	−0.472154	−	0.881516i	$-0.656523\pi$
$37$	2.02675	−	1.75619i	0.333195	−	0.288715i	0.805349	+	0.592801i	$0.201978\pi$
$38$	−0.684336	−	1.49849i	−0.111014	−	0.243087i
$39$	0.970197	−	0.623508i	0.155356	−	0.0998411i
$40$	−0.677329	−	0.198882i	−0.107095	−	0.0314460i
$41$	−4.47983	−	3.88179i	−0.699632	−	0.606234i	0.230669	−	0.973032i	$-0.425909\pi$
$41$	−4.47983	−	3.88179i	−0.699632	−	0.606234i	−0.930301	+	0.366798i	$0.880454\pi$
$42$	−3.92038	−	1.19160i	−0.604927	−	0.183868i
$43$	7.02739	+	3.20930i	1.07167	+	0.489414i	0.871524	−	0.490353i	$-0.163132\pi$
$43$	7.02739	+	3.20930i	1.07167	+	0.489414i	0.200143	+	0.979767i	$0.435859\pi$
$44$	0.378128	−	0.0543666i	0.0570050	−	0.00819608i
$45$	0.284613			0.0424276
$46$	−7.16245	+	1.96573i	−1.05605	+	0.289832i
$47$			10.3831i			1.51453i	0.653106	+	0.757267i	$0.273466\pi$
$47$			10.3831i			1.51453i	−0.653106	+	0.757267i	$0.726534\pi$
$48$	−4.59095	+	0.660079i	−0.662646	+	0.0952742i
$49$	−6.99874	−	0.132680i	−0.999820	−	0.0189543i
$50$	7.30946	−	2.14625i	1.03371	−	0.303526i
$51$	1.58453	+	1.37300i	0.221879	+	0.192259i
$52$	−0.129468	+	0.440928i	−0.0179540	+	0.0611457i
$53$	1.25899	+	1.95902i	0.172935	+	0.269092i	0.916892	−	0.399135i	$-0.130690\pi$
$53$	1.25899	+	1.95902i	0.172935	+	0.269092i	−0.743957	+	0.668228i	$0.767053\pi$
$54$	1.40875	−	0.643353i	0.191706	−	0.0875492i
$55$	−0.206216	+	0.178687i	−0.0278062	+	0.0240942i
$56$	−5.99479	+	2.66935i	−0.801087	+	0.356708i
$57$	1.05288	+	0.151381i	0.139457	+	0.0200509i
$58$	−1.56307	+	10.8714i	−0.205241	+	1.42748i
$59$	−1.73918	+	2.70622i	−0.226423	+	0.352320i	−0.935814	−	0.352494i	$-0.885334\pi$
$59$	−1.73918	+	2.70622i	−0.226423	+	0.352320i	0.709391	+	0.704815i	$0.248970\pi$
$60$	−0.0857088	+	0.0742671i	−0.0110650	+	0.00958784i
$61$	4.20188	+	9.20084i	0.537996	+	1.17805i	0.962166	+	0.272464i	$0.0878387\pi$
$61$	4.20188	+	9.20084i	0.537996	+	1.17805i	−0.424170	+	0.905583i	$0.639434\pi$
$62$	−8.38674	−	13.0500i	−1.06512	−	1.65736i
$63$	2.01586	−	1.71357i	0.253974	−	0.215890i
$64$	−3.82065	+	4.40927i	−0.477581	+	0.551158i
$65$	−0.0924751	−	0.314941i	−0.0114701	−	0.0390637i
$66$	−0.616792	+	1.35059i	−0.0759219	+	0.166246i
$67$	0.584473	−	0.0840345i	0.0714047	−	0.0102664i	−0.106520	−	0.994311i	$-0.533971\pi$
$67$	0.584473	−	0.0840345i	0.0714047	−	0.0102664i	0.177925	+	0.984044i	$0.443062\pi$
$68$	−0.835441			−0.101312
$69$	1.43258	−	4.57687i	0.172462	−	0.550990i
$70$	−0.639762	+	0.975045i	−0.0764662	+	0.116540i
$71$	−1.37921	−	9.59264i	−0.163682	−	1.13844i	−0.891617	−	0.452790i	$-0.850429\pi$
$71$	−1.37921	−	9.59264i	−0.163682	−	1.13844i	0.727935	−	0.685646i	$-0.240480\pi$
$72$	1.03035	−	2.25615i	0.121428	−	0.265890i
$73$	1.30910	+	4.45839i	0.153219	+	0.521815i	0.999948	−	0.0102092i	$-0.00324974\pi$
$73$	1.30910	+	4.45839i	0.153219	+	0.521815i	−0.846729	+	0.532024i	$0.821432\pi$
$74$	−3.13882	−	2.71980i	−0.364880	−	0.316171i
$75$	−1.38584	+	4.71974i	−0.160023	+	0.544989i
$76$	−0.356566	+	0.229151i	−0.0409009	+	0.0262854i
$77$	−0.384764	+	2.50717i	−0.0438479	+	0.285719i
$78$	−1.16963	−	1.34983i	−0.132435	−	0.152838i
$79$	−1.87378	+	2.91566i	−0.210817	+	0.328038i	−0.930518	−	0.366247i	$-0.880643\pi$
$79$	−1.87378	+	2.91566i	−0.210817	+	0.328038i	0.719701	+	0.694284i	$0.244279\pi$
$80$	−0.187867	+	1.30664i	−0.0210042	+	0.146087i
$81$	−0.142315	+	0.989821i	−0.0158128	+	0.109980i
$82$	−4.96317	+	7.72285i	−0.548091	+	0.852846i
$83$	10.1587	+	11.7237i	1.11506	+	1.28685i	0.953968	+	0.299908i	$0.0969559\pi$
$83$	10.1587	+	11.7237i	1.11506	+	1.28685i	0.161091	+	0.986940i	$0.448499\pi$
$84$	−0.159918	+	1.04205i	−0.0174485	+	0.113696i
$85$	0.502002	−	0.322617i	0.0544497	−	0.0349927i
$86$	3.37080	−	11.4799i	0.363482	−	1.23791i
$87$	−5.35967	−	4.64418i	−0.574617	−	0.497909i
$88$	0.669930	+	2.28157i	0.0714148	+	0.243216i
$89$	−5.28601	+	11.5747i	−0.560316	+	1.22692i	0.391480	+	0.920187i	$0.371963\pi$
$89$	−5.28601	+	11.5747i	−0.560316	+	1.22692i	−0.951795	+	0.306734i	$0.900764\pi$
$90$	−0.0627295	−	0.436293i	−0.00661227	−	0.0459894i
$91$	−2.55115	−	1.67390i	−0.267433	−	0.175472i
$92$	0.762882	+	1.75210i	0.0795359	+	0.182669i
$93$	10.0165			1.03867
$94$	15.9166	−	2.28847i	1.64168	−	0.236037i
$95$	0.125764	−	0.275386i	0.0129032	−	0.0282540i
$96$	0.626158	+	2.13250i	0.0639070	+	0.217647i
$97$	6.11581	−	7.05802i	0.620967	−	0.716634i	−0.354924	−	0.934895i	$-0.615493\pi$
$97$	6.11581	−	7.05802i	0.620967	−	0.716634i	0.975890	+	0.218262i	$0.0700386\pi$
$98$	1.33915	+	10.7579i	0.135275	+	1.08671i
$99$	−0.518321	−	0.806523i	−0.0520932	−	0.0810586i
$100$	−0.814238	−	1.78293i	−0.0814238	−	0.178293i
$101$	11.8448	−	10.2636i	1.17860	−	1.02126i	0.179302	−	0.983794i	$-0.442616\pi$
$101$	11.8448	−	10.2636i	1.17860	−	1.02126i	0.999298	−	0.0374685i	$-0.0119294\pi$
$102$	1.75549	−	2.73160i	0.173820	−	0.270469i
$103$	−2.33121	+	16.2139i	−0.229700	+	1.59760i	0.469670	+	0.882842i	$0.344373\pi$
$103$	−2.33121	+	16.2139i	−0.229700	+	1.59760i	−0.699370	+	0.714760i	$0.746536\pi$
$104$	−2.83134	−	0.407086i	−0.277636	−	0.0399180i
$105$	−0.306308	−	0.687901i	−0.0298926	−	0.0671323i
$106$	2.72557	−	2.36172i	0.264731	−	0.229391i
$107$	1.86329	−	0.850935i	0.180131	−	0.0822630i	−0.323308	−	0.946294i	$-0.604795\pi$
$107$	1.86329	−	0.850935i	0.180131	−	0.0822630i	0.503439	+	0.864031i	$0.332068\pi$
$108$	−0.215428	−	0.335212i	−0.0207295	−	0.0322558i
$109$	3.27090	−	11.1397i	0.313295	−	1.06699i	−0.640856	−	0.767661i	$-0.721421\pi$
$109$	3.27090	−	11.1397i	0.313295	−	1.06699i	0.954151	−	0.299324i	$-0.0967613\pi$
$110$	0.319367	+	0.276733i	0.0304504	+	0.0263854i
$111$	2.57314	−	0.755542i	0.244232	−	0.0717129i
$112$	6.53629	+	10.3858i	0.617621	+	0.981364i
$113$	5.47093	−	0.786601i	0.514662	−	0.0739972i	0.119909	−	0.992785i	$-0.461740\pi$
$113$	5.47093	−	0.786601i	0.514662	−	0.0739972i	0.394752	+	0.918788i	$0.370830\pi$
$114$		−	1.64736i		−	0.154289i
$115$	−1.13500	−	0.758210i	−0.105839	−	0.0707034i
$116$	2.82588			0.262376
$117$	1.14154	−	0.164128i	0.105535	−	0.0151737i
$118$	4.53179	+	2.06960i	0.417185	+	0.190522i
$119$	1.61319	−	5.30743i	0.147881	−	0.486531i
$120$	−0.533501	−	0.462282i	−0.0487018	−	0.0422003i
$121$	−9.67252	−	2.84011i	−0.879320	−	0.258192i
$122$	13.1782	−	8.46911i	1.19310	−	0.766757i
$123$	−2.46244	−	5.39199i	−0.222031	−	0.486180i
$124$	−3.01639	+	2.61372i	−0.270880	+	0.234719i
$125$	2.37492	+	1.52627i	0.212420	+	0.136514i
$126$	−3.07109	−	2.71250i	−0.273595	−	0.241649i
$127$	1.00488	−	6.98908i	0.0891686	−	0.620181i	−0.895411	−	0.445241i	$-0.853118\pi$
$127$	1.00488	−	6.98908i	0.0891686	−	0.620181i	0.984579	−	0.174940i	$-0.0559730\pi$
$128$	11.3406	+	7.28817i	1.00238	+	0.644189i
$129$	5.05915	+	5.83857i	0.445433	+	0.514057i
$130$	−0.462403	+	0.211172i	−0.0405554	+	0.0185210i
$131$	3.20088	+	4.98067i	0.279662	+	0.435163i	0.952460	−	0.304663i	$-0.0985439\pi$
$131$	3.20088	+	4.98067i	0.279662	+	0.435163i	−0.672798	+	0.739827i	$0.734908\pi$
$132$	0.366542	+	0.107627i	0.0319034	+	0.00936769i
$133$	−0.767251	−	2.70769i	−0.0665291	−	0.234786i
$134$	−0.257639	−	0.877437i	−0.0222566	−	0.0757990i
$135$	0.258893	+	0.118233i	0.0222820	+	0.0101758i
$136$	−0.740076	−	5.14734i	−0.0634610	−	0.441381i
$137$			11.0089i			0.940550i	0.882520	+	0.470275i	$0.155845\pi$
$137$			11.0089i			0.940550i	−0.882520	+	0.470275i	$0.844155\pi$
$138$	−7.33179	−	1.18729i	−0.624123	−	0.101069i
$139$			7.46229i			0.632944i	0.948602	+	0.316472i	$0.102498\pi$
$139$			7.46229i			0.632944i	−0.948602	+	0.316472i	$0.897502\pi$
$140$	0.271743	+	0.127227i	0.0229665	+	0.0107527i
$141$	−4.31330	+	9.44481i	−0.363246	+	0.795397i
$142$	−14.4009	+	4.22849i	−1.20850	+	0.354847i
$143$	−0.724055	+	0.835604i	−0.0605485	+	0.0698767i
$144$	−4.45028	−	1.30672i	−0.370857	−	0.108893i
$145$	−1.69802	+	1.09125i	−0.141013	+	0.0906234i
$146$	6.54589	−	2.98941i	0.541742	−	0.247405i
$147$	−6.31116	−	3.02807i	−0.520536	−	0.249751i
$148$	−0.577727	+	0.898961i	−0.0474889	+	0.0738942i
$149$	13.7117	+	1.97144i	1.12330	+	0.161507i	0.678837	−	0.734289i	$-0.262484\pi$
$149$	13.7117	+	1.97144i	1.12330	+	0.161507i	0.444466	+	0.895796i	$0.353394\pi$
$150$	7.54050	+	1.08416i	0.615679	+	0.0885213i
$151$	8.10030	+	5.20575i	0.659193	+	0.423638i	0.827015	−	0.562180i	$-0.190037\pi$
$151$	8.10030	+	5.20575i	0.659193	+	0.423638i	−0.167822	+	0.985817i	$0.553673\pi$
$152$	−1.72772	−	1.99389i	−0.140136	−	0.161726i
$153$	0.870974	+	1.90717i	0.0704141	+	0.154185i
$154$	3.92813	+	0.0372309i	0.316538	+	0.00300015i
$155$	0.803174	−	2.73536i	0.0645125	−	0.219709i
$156$	−0.300936	+	0.347299i	−0.0240942	+	0.0278062i
$157$	−17.3048	+	5.08114i	−1.38107	+	0.405519i	−0.886142	−	0.463414i	$-0.846624\pi$
$157$	−17.3048	+	5.08114i	−1.38107	+	0.405519i	−0.494929	+	0.868933i	$0.664806\pi$
$158$	4.88251	+	2.22977i	0.388432	+	0.177391i
$159$	0.331408	+	2.30499i	0.0262823	+	0.182798i
$160$	0.632560			0.0500083
$161$	−12.6039	+	1.46325i	−0.993328	+	0.115320i
$162$	1.54870			0.121677
$163$	−0.862816	−	6.00102i	−0.0675810	−	0.470036i	−0.995306	−	0.0967728i	$-0.969148\pi$
$163$	−0.862816	−	6.00102i	−0.0675810	−	0.470036i	0.927726	−	0.373263i	$-0.121761\pi$
$164$	2.14853	+	0.981202i	0.167772	+	0.0766190i
$165$	−0.261810	+	0.0768744i	−0.0203819	+	0.00598466i
$166$	15.7327	−	18.1565i	1.22110	−	1.40922i
$167$	3.00243	−	10.2253i	0.232335	−	0.791260i	−0.757963	−	0.652298i	$-0.773805\pi$
$167$	3.00243	−	10.2253i	0.232335	−	0.791260i	0.990298	−	0.138962i	$-0.0443767\pi$
$168$	−6.56194	−	0.0621941i	−0.506265	−	0.00479838i
$169$	4.84788	+	10.6154i	0.372913	+	0.816567i
$170$	−0.605193	−	0.698430i	−0.0464162	−	0.0535671i
$171$	0.894844	+	0.575082i	0.0684305	+	0.0439776i
$172$	−3.04704	−	0.438098i	−0.232334	−	0.0334047i
$173$	−3.49042	−	0.501847i	−0.265372	−	0.0381547i	0.00834439	−	0.999965i	$-0.497344\pi$
$173$	−3.49042	−	0.501847i	−0.265372	−	0.0381547i	−0.273716	+	0.961810i	$0.588253\pi$
$174$	−5.93794	+	9.23962i	−0.450154	+	0.700454i
$175$	12.8989	−	1.72997i	0.975069	−	0.130774i
$176$	4.04484	−	1.84722i	0.304891	−	0.139239i
$177$	−2.70622	+	1.73918i	−0.203412	+	0.130725i
$178$	18.9084	+	5.55200i	1.41724	+	0.416140i
$179$	−7.45722	+	8.60609i	−0.557379	+	0.643249i	−0.962586	−	0.270976i	$-0.912654\pi$
$179$	−7.45722	+	8.60609i	−0.557379	+	0.643249i	0.405208	+	0.914225i	$0.367199\pi$
$180$	−0.108815	+	0.0319510i	−0.00811060	+	0.00238149i
$181$	−1.32345	+	2.89795i	−0.0983712	+	0.215403i	−0.952419	−	0.304791i	$-0.901413\pi$
$181$	−1.32345	+	2.89795i	−0.0983712	+	0.215403i	0.854048	+	0.520194i	$0.174141\pi$
$182$	−2.00370	+	4.27968i	−0.148524	+	0.317231i
$183$			10.1149i			0.747715i
$184$	−10.1193	+	6.25239i	−0.746004	+	0.460932i
$185$		−	0.763267i		−	0.0561165i
$186$	−2.20767	−	15.3547i	−0.161874	−	1.12586i
$187$	−1.82843	−	0.835017i	−0.133708	−	0.0610625i
$188$	−1.16562	−	3.96974i	−0.0850116	−	0.289523i
$189$	2.54553	−	0.721301i	0.185160	−	0.0524669i
$190$	−0.449867	−	0.132093i	−0.0326368	−	0.00958303i
$191$	3.91702	+	6.09500i	0.283426	+	0.441019i	0.953552	−	0.301228i	$-0.0973965\pi$
$191$	3.91702	+	6.09500i	0.283426	+	0.441019i	−0.670127	+	0.742247i	$0.733760\pi$
$192$	−5.30706	+	2.42365i	−0.383004	+	0.174912i
$193$	−11.5020	−	13.2741i	−0.827935	−	0.955487i	0.171625	−	0.985162i	$-0.445098\pi$
$193$	−11.5020	−	13.2741i	−0.827935	−	0.955487i	−0.999560	+	0.0296749i	$0.990553\pi$
$194$	−12.1674	−	7.81953i	−0.873571	−	0.561410i
$195$	0.0467130	−	0.324896i	0.00334519	−	0.0232663i
$196$	2.69070	−	0.734960i	0.192193	−	0.0524971i
$197$	−8.97520	−	5.76801i	−0.639457	−	0.410954i	0.180343	−	0.983604i	$-0.442279\pi$
$197$	−8.97520	−	5.76801i	−0.639457	−	0.410954i	−0.819800	+	0.572650i	$0.805915\pi$
$198$	−1.12211	+	0.972312i	−0.0797447	+	0.0690992i
$199$	−4.95744	−	10.8553i	−0.351424	−	0.769510i	−0.999965	−	0.00833113i	$-0.997348\pi$
$199$	−4.95744	−	10.8553i	−0.351424	−	0.769510i	0.648542	−	0.761179i	$-0.275379\pi$
$200$	10.2637	−	6.59611i	0.725757	−	0.466416i
$201$	0.566564	+	0.166358i	0.0399624	+	0.0117340i
$202$	−18.3440	−	15.8952i	−1.29068	−	1.11838i
$203$	−5.45662	+	17.9524i	−0.382980	+	1.26001i
$204$	−0.759944	−	0.347055i	−0.0532067	−	0.0242987i
$205$	−1.66992	+	0.240098i	−0.116632	+	0.0167692i
$206$	25.3686			1.76752
$207$	3.20442	−	3.56815i	0.222722	−	0.248004i
$208$			5.34907i			0.370891i
$209$	−1.00941	+	0.145131i	−0.0698223	+	0.0100389i
$210$	−0.986996	+	0.621166i	−0.0681092	+	0.0428645i
$211$	−2.65683	+	0.780116i	−0.182904	+	0.0537054i	−0.371902	−	0.928272i	$-0.621294\pi$
$211$	−2.65683	+	0.780116i	−0.182904	+	0.0537054i	0.188998	+	0.981977i	$0.439476\pi$
$212$	−0.701266	−	0.607651i	−0.0481632	−	0.0417336i
$213$	2.73035	−	9.29871i	0.187080	−	0.637137i
$214$	−1.71510	−	2.66875i	−0.117242	−	0.182432i
$215$	2.00009	−	0.913410i	0.136405	−	0.0622940i
$216$	1.87448	−	1.62425i	0.127542	−	0.110516i
$217$	−10.7801	−	24.2097i	−0.731798	−	1.64346i
$218$	−17.7973	−	2.55886i	−1.20538	−	0.173308i
$219$	−0.661281	+	4.59931i	−0.0446853	+	0.310793i
$220$	0.0587822	−	0.0914670i	0.00396310	−	0.00616670i
$221$	1.82740	−	1.58345i	0.122924	−	0.106515i
$222$	−1.72532	−	3.77793i	−0.115796	−	0.253558i
$223$	3.79360	+	5.90295i	0.254038	+	0.395291i	0.944725	−	0.327862i	$-0.106328\pi$
$223$	3.79360	+	5.90295i	0.254038	+	0.395291i	−0.690687	+	0.723154i	$0.742692\pi$
$224$	4.48029	−	3.80845i	0.299352	−	0.254463i
$225$	−3.22126	+	3.71753i	−0.214750	+	0.247835i
$226$	−2.41162	−	8.21321i	−0.160418	−	0.546334i
$227$	−6.69816	+	14.6669i	−0.444572	+	0.973478i	0.546164	+	0.837678i	$0.316088\pi$
$227$	−6.69816	+	14.6669i	−0.444572	+	0.973478i	−0.990736	+	0.135799i	$0.956640\pi$
$228$	−0.419537	+	0.0603203i	−0.0277845	+	0.00399481i
$229$	−22.4029			−1.48043			−0.740214	−	0.672371i	$-0.765276\pi$
$229$	−22.4029			−1.48043			−0.740214	+	0.672371i	$0.765276\pi$
$230$	−0.912129	+	1.90699i	−0.0601440	+	0.125743i
$231$	−1.39151	+	2.12077i	−0.0915546	+	0.139536i
$232$	2.50330	+	17.4109i	0.164350	+	1.14308i
$233$	−0.724928	+	1.58737i	−0.0474916	+	0.103992i	−0.931891	−	0.362740i	$-0.881841\pi$
$233$	−0.724928	+	1.58737i	−0.0474916	+	0.103992i	0.884399	+	0.466732i	$0.154569\pi$
$234$	−0.503196	−	1.71373i	−0.0328949	−	0.112030i
$235$	2.23337	+	1.93523i	0.145689	+	0.126240i
$236$	0.361132	−	1.22990i	0.0235077	−	0.0800599i
$237$	−2.91566	+	1.87378i	−0.189393	+	0.121715i
$238$	−8.49150	−	1.30315i	−0.550422	−	0.0844707i
$239$	−0.699689	−	0.807484i	−0.0452591	−	0.0522318i	0.732669	−	0.680586i	$-0.238275\pi$
$239$	−0.699689	−	0.807484i	−0.0452591	−	0.0522318i	−0.777928	+	0.628354i	$0.783729\pi$
$240$	−0.713690	+	1.11052i	−0.0460685	+	0.0716839i
$241$	2.92441	−	20.3397i	0.188378	−	1.31020i	−0.647830	−	0.761785i	$-0.724323\pi$
$241$	2.92441	−	20.3397i	0.188378	−	1.31020i	0.836208	−	0.548412i	$-0.184768\pi$
$242$	−2.22185	+	15.4533i	−0.142826	+	0.993376i
$243$	−0.540641	+	0.841254i	−0.0346821	+	0.0539664i
$244$	−2.63939	−	3.04602i	−0.168970	−	0.195001i
$245$	−1.33298	+	1.48067i	−0.0851609	+	0.0945968i
$246$	−7.72285	+	4.96317i	−0.492391	+	0.316440i
$247$	0.345613	−	1.17705i	0.0219909	−	0.0748940i
$248$	−18.7758	−	16.2693i	−1.19226	−	1.03310i
$249$	4.37044	+	14.8844i	0.276965	+	0.943257i
$250$	1.81623	−	3.97700i	0.114869	−	0.251527i
$251$	−0.595473	−	4.14161i	−0.0375859	−	0.261416i	0.962360	−	0.271776i	$-0.0876111\pi$
$251$	−0.595473	−	4.14161i	−0.0375859	−	0.261416i	−0.999946	+	0.0103607i	$0.996702\pi$
$252$	−0.578348	+	0.881446i	−0.0364325	+	0.0555259i
$253$	−0.0815824	+	4.59711i	−0.00512904	+	0.289018i
$254$	−10.9353			−0.686141
$255$	0.590656	−	0.0849236i	0.0369883	−	0.00531812i
$256$	3.82548	−	8.37664i	0.239093	−	0.523540i
$257$	−5.95942	−	20.2959i	−0.371739	−	1.26603i	−0.906925	−	0.421291i	$-0.861577\pi$
$257$	−5.95942	−	20.2959i	−0.371739	−	1.26603i	0.535187	−	0.844734i	$-0.320241\pi$
$258$	7.83510	−	9.04218i	0.487792	−	0.562942i
$259$	−4.59540	−	5.40606i	−0.285544	−	0.335916i
$260$	0.0707114	+	0.110029i	0.00438533	+	0.00682371i
$261$	−2.94607	−	6.45099i	−0.182357	−	0.399306i
$262$	6.92956	−	6.00450i	0.428110	−	0.370959i
$263$	−10.0564	+	15.6481i	−0.620106	+	0.964905i	0.379111	+	0.925351i	$0.376230\pi$
$263$	−10.0564	+	15.6481i	−0.620106	+	0.964905i	−0.999217	+	0.0395533i	$0.987407\pi$
$264$	−0.338410	+	2.35369i	−0.0208277	+	0.144860i
$265$	0.656031	+	0.0943230i	0.0402997	+	0.00579422i
$266$	−3.98161	+	1.77293i	−0.244128	+	0.108705i
$267$	−9.61664	+	8.33287i	−0.588529	+	0.509963i
$268$	−0.214026	+	0.0977422i	−0.0130737	+	0.00597055i
$269$	−7.93043	−	12.3400i	−0.483527	−	0.752383i	0.510691	−	0.859764i	$-0.329390\pi$
$269$	−7.93043	−	12.3400i	−0.483527	−	0.752383i	−0.994218	+	0.107382i	$0.965753\pi$
$270$	0.124182	−	0.422925i	0.00755748	−	0.0257384i
$271$	−18.2716	−	15.8325i	−1.10992	−	0.961754i	−0.110439	−	0.993883i	$-0.535226\pi$
$271$	−18.2716	−	15.8325i	−1.10992	−	0.961754i	−0.999484	+	0.0321292i	$0.989771\pi$
$272$	−9.33062	+	2.73972i	−0.565752	+	0.166120i
$273$	−1.62524	−	2.58242i	−0.0983642	−	0.156295i
$274$	16.8759	−	2.42638i	1.01951	−	0.146583i
$275$		−	4.71592i		−	0.284381i
$276$	−0.0339078	+	1.91068i	−0.00204101	+	0.115009i
$277$	−1.87554			−0.112690			−0.0563451	−	0.998411i	$-0.517945\pi$
$277$	−1.87554			−0.112690			−0.0563451	+	0.998411i	$0.517945\pi$
$278$	11.4392	−	1.64471i	0.686078	−	0.0986432i
$279$	9.11136	+	4.16102i	0.545483	+	0.249114i
$280$	−0.543152	+	1.78698i	−0.0324595	+	0.106792i
$281$	−18.5153	−	16.0436i	−1.10453	−	0.957079i	−0.105226	−	0.994448i	$-0.533557\pi$
$281$	−18.5153	−	16.0436i	−1.10453	−	0.957079i	−0.999302	+	0.0373694i	$0.988102\pi$
$282$	15.4290	+	4.53035i	0.918781	+	0.269778i
$283$	−7.54577	+	4.84937i	−0.448549	+	0.288265i	−0.745349	−	0.666675i	$-0.767717\pi$
$283$	−7.54577	+	4.84937i	−0.448549	+	0.288265i	0.296800	+	0.954940i	$0.404081\pi$
$284$	1.60419	+	3.51269i	0.0951912	+	0.208440i
$285$	0.228799	−	0.198255i	0.0135529	−	0.0117436i
$286$	1.44051	+	0.925760i	0.0851792	+	0.0547413i
$287$	−10.3821	+	11.7546i	−0.612838	+	0.693855i
$288$	−0.316298	+	2.19990i	−0.0186381	+	0.129631i
$289$	−10.6033	−	6.81430i	−0.623721	−	0.400841i
$290$	2.04706	+	2.36244i	0.120208	+	0.138727i
$291$	8.49515	−	3.87960i	0.497994	−	0.227426i
$292$	−1.00101	−	1.55760i	−0.0585796	−	0.0911516i
$293$	27.2336	+	7.99650i	1.59100	+	0.467160i	0.953024	−	0.302894i	$-0.0979528\pi$
$293$	27.2336	+	7.99650i	1.59100	+	0.467160i	0.637978	+	0.770054i	$0.279771\pi$
$294$	−3.25084	+	10.3420i	−0.189593	+	0.603158i
$295$	0.257946	+	0.878484i	0.0150182	+	0.0511473i
$296$	−6.05048	−	2.76316i	−0.351677	−	0.160606i
$297$	−0.136439	−	0.948957i	−0.00791702	−	0.0550641i
$298$		−	21.4536i		−	1.24277i
$299$	−4.98954	−	2.38653i	−0.288552	−	0.138017i
$300$		−	1.96006i		−	0.113164i
$301$	8.66685	−	18.5114i	0.499549	−	1.06698i
$302$	6.19474	−	13.5646i	0.356467	−	0.780555i
$303$	15.0380	−	4.41556i	0.863912	−	0.253668i
$304$	−3.23084	+	3.72859i	−0.185301	+	0.213849i
$305$	2.76222	+	0.811062i	0.158164	+	0.0464413i
$306$	2.73160	−	1.75549i	0.156155	−	0.100355i
$307$	19.5832	−	8.94335i	1.11767	−	0.510424i	0.231061	−	0.972939i	$-0.425780\pi$
$307$	19.5832	−	8.94335i	1.11767	−	0.510424i	0.886611	+	0.462515i	$0.153053\pi$
$308$	−0.134352	−	1.00175i	−0.00765544	−	0.0570801i
$309$	−8.85603	+	13.7803i	−0.503802	+	0.783931i
$310$	−4.37015	−	0.628333i	−0.248208	−	0.0356869i
$311$	8.24013	+	1.18475i	0.467255	+	0.0671811i	0.371921	−	0.928264i	$-0.378699\pi$
$311$	8.24013	+	1.18475i	0.467255	+	0.0671811i	0.0953336	+	0.995445i	$0.469608\pi$
$312$	−2.40637	−	1.54648i	−0.136234	−	0.0875522i
$313$	−8.74108	−	10.0877i	−0.494075	−	0.570193i	0.452875	−	0.891574i	$-0.350398\pi$
$313$	−8.74108	−	10.0877i	−0.494075	−	0.570193i	−0.946950	+	0.321381i	$0.895853\pi$
$314$	11.6031	+	25.4072i	0.654799	+	1.43381i
$315$	0.00713676	−	0.752982i	0.000402111	−	0.0424257i
$316$	0.389081	−	1.32509i	0.0218875	−	0.0745421i
$317$	−20.6775	+	23.8631i	−1.16136	+	1.34029i	−0.231304	+	0.972882i	$0.574299\pi$
$317$	−20.6775	+	23.8631i	−1.16136	+	1.34029i	−0.930061	+	0.367405i	$0.880246\pi$
$318$	3.46036	−	1.01605i	0.194047	−	0.0569774i
$319$	6.18466	+	2.82444i	0.346275	+	0.158138i
$320$	0.236316	+	1.64362i	0.0132105	+	0.0918809i
$321$	2.04840			0.114330
$322$	5.02101	+	18.9985i	0.279810	+	1.05874i
$323$	2.23020			0.124092
$324$	−0.0567078	−	0.394411i	−0.00315043	−	0.0219117i
$325$	5.16030	+	2.35663i	0.286242	+	0.130722i
$326$	−9.00900	+	2.64528i	−0.498962	+	0.146509i
$327$	7.60289	−	8.77421i	0.420441	−	0.485215i
$328$	−4.14213	+	14.1068i	−0.228711	+	0.778917i
$329$	27.4699	+	0.260360i	1.51447	+	0.0143541i
$330$	0.175547	+	0.384395i	0.00966355	+	0.0211602i
$331$	3.71218	+	4.28408i	0.204040	+	0.235474i	0.848542	−	0.529128i	$-0.177481\pi$
$331$	3.71218	+	4.28408i	0.204040	+	0.235474i	−0.644502	+	0.764602i	$0.722935\pi$
$332$	−5.20005	−	3.34187i	−0.285390	−	0.183409i
$333$	2.65447	+	0.381656i	0.145464	+	0.0209146i
$334$	−16.3365	−	2.34884i	−0.893894	−	0.128523i
$335$	0.0908597	−	0.141380i	0.00496419	−	0.00772444i
$336$	1.63121	+	12.1625i	0.0889896	+	0.663520i
$337$	25.8166	−	11.7900i	1.40632	−	0.642245i	0.439626	−	0.898181i	$-0.355111\pi$
$337$	25.8166	−	11.7900i	1.40632	−	0.642245i	0.966694	+	0.255936i	$0.0823838\pi$
$338$	15.2042	−	9.77113i	0.826998	−	0.531480i
$339$	5.30330	+	1.55719i	0.288036	+	0.0845749i
$340$	−0.155711	+	0.179700i	−0.00844462	+	0.00974561i
$341$	−9.21402	+	2.70548i	−0.498967	+	0.146510i
$342$	0.684336	−	1.49849i	0.0370047	−	0.0810289i
$343$	−0.526519	+	18.5128i	−0.0284293	+	0.999596i
$344$		−	19.1616i		−	1.03312i
$345$	−0.717461	−	1.16119i	−0.0386268	−	0.0625163i
$346$			5.46120i			0.293596i
$347$	−1.92940	−	13.4192i	−0.103575	−	0.720383i	−0.973747	−	0.227634i	$-0.926901\pi$
$347$	−1.92940	−	13.4192i	−0.103575	−	0.720383i	0.870171	−	0.492749i	$-0.164008\pi$
$348$	2.57051	+	1.17391i	0.137794	+	0.0629282i
$349$	2.68025	+	9.12810i	0.143471	+	0.488616i	0.999604	−	0.0281388i	$-0.00895805\pi$
$349$	2.68025	+	9.12810i	0.143471	+	0.488616i	−0.856133	+	0.516755i	$0.827140\pi$
$350$	−5.49490	−	19.3920i	−0.293715	−	1.03654i
$351$	1.10656	+	0.324915i	0.0590638	+	0.0173427i
$352$	−1.15198	−	1.79252i	−0.0614008	−	0.0955415i
$353$	2.25889	−	1.03160i	0.120229	−	0.0549065i	−0.354393	−	0.935097i	$-0.615312\pi$
$353$	2.25889	−	1.03160i	0.120229	−	0.0549065i	0.474621	+	0.880190i	$0.342585\pi$
$354$	3.26252	+	3.76515i	0.173401	+	0.200115i
$355$	−2.32040	−	1.49123i	−0.123154	−	0.0791463i
$356$	0.721586	−	5.01874i	0.0382440	−	0.265993i
$357$	3.67220	−	4.15766i	0.194353	−	0.220047i
$358$	14.8362	+	9.53462i	0.784116	+	0.503920i
$359$	11.7069	−	10.1441i	0.617868	−	0.535386i	−0.288714	−	0.957415i	$-0.593228\pi$
$359$	11.7069	−	10.1441i	0.617868	−	0.535386i	0.906582	+	0.422030i	$0.138682\pi$
$360$	−0.293251	−	0.642131i	−0.0154557	−	0.0338433i
$361$	−15.0320	+	9.66046i	−0.791156	+	0.508445i
$362$	4.73406	+	1.39005i	0.248817	+	0.0730592i
$363$	−7.61861	−	6.60156i	−0.399873	−	0.346492i
$364$	1.16329	+	0.353581i	0.0609727	+	0.0185327i
$365$	1.20298	+	0.549381i	0.0629666	+	0.0287559i
$366$	15.5055	−	2.22935i	0.810485	−	0.116530i
$367$	15.3351			0.800483			0.400242	−	0.916410i	$-0.368926\pi$
$367$	15.3351			0.800483			0.400242	+	0.916410i	$0.368926\pi$
$368$	14.2660	+	17.0666i	0.743668	+	0.889657i
$369$		−	5.92766i		−	0.308582i
$370$	−1.17004	+	0.168226i	−0.0608274	+	0.00874566i
$371$	5.21442	−	3.28169i	0.270719	−	0.170377i
$372$	−3.82959	+	1.12447i	−0.198555	+	0.0583010i
$373$	−21.6343	−	18.7463i	−1.12018	−	0.970644i	−0.120427	−	0.992722i	$-0.538426\pi$
$373$	−21.6343	−	18.7463i	−1.12018	−	0.970644i	−0.999756	+	0.0220777i	$0.992972\pi$
$374$	−0.877035	+	2.98691i	−0.0453504	+	0.154449i
$375$	1.52627	+	2.37492i	0.0788163	+	0.122641i
$376$	23.4259	−	10.6982i	1.20810	−	0.551720i
$377$	−6.18118	+	5.35602i	−0.318347	+	0.275849i
$378$	−1.66675	−	3.74316i	−0.0857284	−	0.192527i
$379$	21.0580	+	3.02769i	1.08168	+	0.155522i	0.660032	−	0.751238i	$-0.270543\pi$
$379$	21.0580	+	3.02769i	1.08168	+	0.155522i	0.421648	+	0.906760i	$0.361452\pi$
$380$	−0.0171679	+	0.119406i	−0.000880697	+	0.00612538i
$381$	3.81744	−	5.94005i	0.195573	−	0.304318i
$382$	8.47992	−	7.34789i	0.433870	−	0.375951i
$383$	5.59484	+	12.2510i	0.285883	+	0.625997i	0.997027	−	0.0770495i	$-0.0245499\pi$
$383$	5.59484	+	12.2510i	0.285883	+	0.625997i	−0.711144	+	0.703046i	$0.751823\pi$
$384$	7.28817	+	11.3406i	0.371923	+	0.578723i
$385$	0.467570	+	0.550053i	0.0238296	+	0.0280333i
$386$	−17.8132	+	20.5575i	−0.906667	+	1.04635i
$387$	2.17653	+	7.41260i	0.110639	+	0.376803i
$388$	−1.54589	+	3.38504i	−0.0784809	+	0.171849i
$389$	6.83198	−	0.982291i	0.346395	−	0.0498041i	0.0330783	−	0.999453i	$-0.489469\pi$
$389$	6.83198	−	0.982291i	0.346395	−	0.0498041i	0.313317	+	0.949649i	$0.398560\pi$
$390$	−0.508341			−0.0257408
$391$	1.60737	−	9.92581i	0.0812880	−	0.501970i
$392$	6.91181	+	15.9269i	0.349099	+	0.804432i
$393$	0.842580	+	5.86027i	0.0425025	+	0.295612i
$394$	−6.86383	+	15.0297i	−0.345795	+	0.757185i
$395$	0.277909	+	0.946471i	0.0139831	+	0.0476221i
$396$	0.288709	+	0.250168i	0.0145082	+	0.0125714i
$397$	−0.714221	+	2.43241i	−0.0358457	+	0.122079i	−0.975472	−	0.220122i	$-0.929354\pi$
$397$	−0.714221	+	2.43241i	−0.0358457	+	0.122079i	0.939627	+	0.342202i	$0.111173\pi$
$398$	−15.5478	+	9.99197i	−0.779341	+	0.500852i
$399$	0.426899	−	2.78173i	0.0213717	−	0.139261i
$400$	−14.9407	−	17.2425i	−0.747035	−	0.862124i
$401$	−3.21561	+	5.00358i	−0.160580	+	0.249867i	−0.912215	−	0.409712i	$-0.865629\pi$
$401$	−3.21561	+	5.00358i	−0.160580	+	0.249867i	0.751635	+	0.659579i	$0.229266\pi$
$402$	0.130144	−	0.905172i	0.00649100	−	0.0451459i
$403$	1.64400	−	11.4342i	0.0818933	−	0.569580i
$404$	−3.37637	+	5.25374i	−0.167981	+	0.261383i
$405$	0.186382	+	0.215096i	0.00926140	+	0.0106882i
$406$	28.7224	+	4.40790i	1.42547	+	0.218761i
$407$	−2.16291	+	1.39002i	−0.107211	+	0.0689006i
$408$	1.46509	−	4.98962i	0.0725325	−	0.247023i
$409$	−24.6758	−	21.3817i	−1.22014	−	1.05726i	−0.996586	−	0.0825642i	$-0.973689\pi$
$409$	−24.6758	−	21.3817i	−1.22014	−	1.05726i	−0.223553	−	0.974692i	$-0.571765\pi$
$410$	0.736110	+	2.50696i	0.0363539	+	0.123810i
$411$	−4.57325	+	10.0140i	−0.225582	+	0.493955i
$412$	−0.928909	−	6.46070i	−0.0457640	−	0.318296i
$413$	7.11606	+	4.66910i	0.350159	+	0.229752i
$414$	−6.17601	−	4.12573i	−0.303534	−	0.202769i
$415$	4.41513			0.216730
$416$	2.53709	−	0.364779i	0.124391	−	0.0178848i
$417$	−3.09995	+	6.78794i	−0.151805	+	0.332407i
$418$	0.444953	+	1.51537i	0.0217634	+	0.0741192i
$419$	3.06941	−	3.54229i	0.149951	−	0.173052i	−0.675805	−	0.737081i	$-0.736204\pi$
$419$	3.06941	−	3.54229i	0.149951	−	0.173052i	0.825755	+	0.564028i	$0.190749\pi$
$420$	0.194334	+	0.228616i	0.00948254	+	0.0111553i
$421$	2.44647	+	3.80678i	0.119234	+	0.185531i	0.895740	−	0.444578i	$-0.146646\pi$
$421$	2.44647	+	3.80678i	0.119234	+	0.185531i	−0.776506	+	0.630109i	$0.783010\pi$
$422$	1.78144	+	3.90081i	0.0867191	+	0.189888i
$423$	−7.84704	+	6.79949i	−0.381536	+	0.330603i
$424$	3.12266	−	4.85895i	0.151650	−	0.235971i
$425$	−1.46774	+	10.2084i	−0.0711959	+	0.495179i
$426$	−14.8561	−	2.13598i	−0.719780	−	0.103489i
$427$	24.4474	−	10.8859i	1.18309	−	0.526807i
$428$	−0.616858	+	0.534510i	−0.0298169	+	0.0258365i
$429$	−1.00575	+	0.459309i	−0.0485579	+	0.0221756i
$430$	−1.84102	−	2.86469i	−0.0887820	−	0.138147i
$431$	5.28790	−	18.0089i	0.254709	−	0.867460i	−0.728511	−	0.685035i	$-0.759787\pi$
$431$	5.28790	−	18.0089i	0.254709	−	0.867460i	0.983220	−	0.182425i	$-0.0583947\pi$
$432$	−3.50529	−	3.03735i	−0.168648	−	0.146134i
$433$	−20.6917	+	6.07563i	−0.994379	+	0.291976i	−0.738148	−	0.674639i	$-0.764299\pi$
$433$	−20.6917	+	6.07563i	−0.994379	+	0.291976i	−0.256232	+	0.966615i	$0.582481\pi$
$434$	−34.7359	+	21.8610i	−1.66738	+	1.04936i
$435$	−1.99789	+	0.287254i	−0.0957916	+	0.0137728i
$436$			4.62618i			0.221554i
$437$	−2.03650	−	4.67722i	−0.0974192	−	0.223742i
$438$	7.19620			0.343848
$439$	4.44607	−	0.639248i	0.212199	−	0.0305097i	−0.0353952	−	0.999373i	$-0.511269\pi$
$439$	4.44607	−	0.639248i	0.212199	−	0.0305097i	0.247595	+	0.968864i	$0.420360\pi$
$440$	0.615621	+	0.281145i	0.0293486	+	0.0134030i
$441$	−4.48293	−	5.37618i	−0.213473	−	0.256009i
$442$	−2.83009	−	2.45229i	−0.134614	−	0.116644i
$443$	−12.0263	−	3.53125i	−0.571389	−	0.167775i	−0.0167405	−	0.999860i	$-0.505329\pi$
$443$	−12.0263	−	3.53125i	−0.571389	−	0.167775i	−0.554648	+	0.832085i	$0.687147\pi$
$444$	−0.898961	+	0.577727i	−0.0426628	+	0.0274177i
$445$	1.50447	+	3.29432i	0.0713186	+	0.156166i
$446$	8.21273	−	7.11637i	0.388884	−	0.336970i
$447$	11.6536	+	7.48931i	0.551196	+	0.354232i
$448$	11.5695	+	10.2186i	0.546607	+	0.482783i
$449$	−2.99979	+	20.8640i	−0.141569	+	0.984632i	0.787919	+	0.615779i	$0.211158\pi$
$449$	−2.99979	+	20.8640i	−0.141569	+	0.984632i	−0.929488	+	0.368853i	$0.879751\pi$
$450$	6.40870	+	4.11862i	0.302109	+	0.194154i
$451$	3.72154	+	4.29488i	0.175240	+	0.202238i
$452$	−2.00338	+	0.914911i	−0.0942309	+	0.0430338i
$453$	5.20575	+	8.10030i	0.244587	+	0.380585i
$454$	23.9597	+	7.03521i	1.12449	+	0.330179i
$455$	−0.835538	+	0.236758i	−0.0391706	+	0.0110994i
$456$	−0.743294	−	2.53143i	−0.0348079	−	0.118545i
$457$	18.9936	+	8.67407i	0.888482	+	0.405756i	0.806746	−	0.590898i	$-0.201226\pi$
$457$	18.9936	+	8.67407i	0.888482	+	0.405756i	0.0817354	+	0.996654i	$0.473954\pi$
$458$	4.93767	+	34.3423i	0.230722	+	1.60471i
$459$			2.09664i			0.0978626i
$460$	0.519058	+	0.162467i	0.0242012	+	0.00757507i
$461$			25.4989i			1.18760i	0.804611	+	0.593802i	$0.202374\pi$
$461$			25.4989i			1.18760i	−0.804611	+	0.593802i	$0.797626\pi$
$462$	3.55769	+	1.66567i	0.165519	+	0.0774941i
$463$	7.38102	−	16.1622i	0.343025	−	0.751120i	−0.656971	−	0.753916i	$-0.728163\pi$
$463$	7.38102	−	16.1622i	0.343025	−	0.751120i	0.999996	+	0.00279586i	$0.000889950\pi$
$464$	31.5608	−	9.26708i	1.46517	−	0.430213i
$465$	1.86690	−	2.15452i	0.0865755	−	0.0999135i
$466$	2.59311	+	0.761407i	0.120124	+	0.0352715i
$467$	2.82895	−	1.81805i	0.130908	−	0.0841295i	−0.473548	−	0.880768i	$-0.657027\pi$
$467$	2.82895	−	1.81805i	0.130908	−	0.0841295i	0.604456	+	0.796639i	$0.293391\pi$
$468$	−0.418014	+	0.190901i	−0.0193227	+	0.00882439i
$469$	−0.207669	−	1.54841i	−0.00958924	−	0.0714988i
$470$	2.47433	−	3.85014i	0.114133	−	0.177594i
$471$	−17.8518	−	2.56669i	−0.822565	−	0.118267i
$472$	7.89763	+	1.13551i	0.363518	+	0.0522659i
$473$	−6.23082	−	4.00430i	−0.286493	−	0.184118i
$474$	3.51501	+	4.05654i	0.161450	+	0.186323i
$475$	2.17360	+	4.75952i	0.0997315	+	0.218382i
$476$	−0.0209489	+	2.21027i	−0.000960193	+	0.101308i
$477$	−0.656069	+	2.23437i	−0.0300393	+	0.102305i
$478$	−1.08361	+	1.25055i	−0.0495630	+	0.0571988i
$479$	−11.7156	+	3.44002i	−0.535300	+	0.157178i	−0.538200	−	0.842817i	$-0.680895\pi$
$479$	−11.7156	+	3.44002i	−0.535300	+	0.157178i	0.00289923	+	0.999996i	$0.499077\pi$
$480$	0.575397	+	0.262775i	0.0262632	+	0.0119940i
$481$	−0.440154	−	3.06134i	−0.0200693	−	0.139585i
$482$	−31.8240			−1.44955
$483$	−12.0728	−	3.90484i	−0.549331	−	0.177676i
$484$	4.01689			0.182586
$485$	−0.378277	−	2.63098i	−0.0171767	−	0.119466i
$486$	1.40875	+	0.643353i	0.0639020	+	0.0291831i
$487$	−14.0820	+	4.13484i	−0.638114	+	0.187367i	−0.584757	−	0.811208i	$-0.698810\pi$
$487$	−14.0820	+	4.13484i	−0.638114	+	0.187367i	−0.0533570	+	0.998576i	$0.516992\pi$
$488$	16.4291	−	18.9602i	0.743710	−	0.858287i
$489$	1.70807	−	5.81714i	0.0772415	−	0.263060i
$490$	2.56357	+	1.71702i	0.115810	+	0.0775673i
$491$	−11.2592	−	24.6541i	−0.508119	−	1.11262i	−0.973745	−	0.227643i	$-0.926898\pi$
$491$	−11.2592	−	24.6541i	−0.508119	−	1.11262i	0.465626	−	0.884982i	$-0.345829\pi$
$492$	1.54677	+	1.78507i	0.0697337	+	0.0804769i
$493$	−12.5087	−	8.03882i	−0.563361	−	0.362050i
$494$	−1.88052	−	0.270378i	−0.0846085	−	0.0121649i
$495$	−0.270086	−	0.0388325i	−0.0121394	−	0.00174539i
$496$	−25.1172	+	39.0832i	−1.12780	+	1.75489i
$497$	−25.4132	+	3.40835i	−1.13994	+	0.152885i
$498$	21.8535	−	9.98015i	0.979278	−	0.447221i
$499$	−20.3350	+	13.0685i	−0.910321	+	0.585028i	−0.909834	−	0.414972i	$-0.863791\pi$
$499$	−20.3350	+	13.0685i	−0.910321	+	0.585028i	−0.000487009		1.00000i	$0.500155\pi$
$500$	−1.07934	−	0.316922i	−0.0482694	−	0.0141732i
$501$	6.97886	−	8.05404i	0.311793	−	0.359828i
$502$	−6.21757	+	1.82564i	−0.277504	+	0.0814824i
$503$	5.04358	−	11.0439i	0.224882	−	0.492423i	−0.763236	−	0.646120i	$-0.776391\pi$
$503$	5.04358	−	11.0439i	0.224882	−	0.492423i	0.988118	+	0.153697i	$0.0491180\pi$
$504$	−5.94311	−	2.78250i	−0.264727	−	0.123942i
$505$		−	4.46071i		−	0.198499i
$506$	7.06506	−	0.888156i	0.314080	−	0.0394834i
$507$			11.6700i			0.518281i
$508$	0.400411	+	2.78492i	0.0177654	+	0.123561i
$509$	−26.1805	−	11.9562i	−1.16043	−	0.529950i	−0.260281	−	0.965533i	$-0.583815\pi$
$509$	−26.1805	−	11.9562i	−1.16043	−	0.529950i	−0.900149	+	0.435583i	$0.856542\pi$
$510$	−0.260365	−	0.886721i	−0.0115291	−	0.0392646i
$511$	11.8281	−	3.35160i	0.523244	−	0.148266i
$512$	12.1851	+	3.57787i	0.538511	+	0.158121i
$513$	0.575082	+	0.894844i	0.0253905	+	0.0395083i
$514$	−29.7989	+	13.6087i	−1.31437	+	0.600253i
$515$	3.05305	+	3.52341i	0.134534	+	0.155260i
$516$	−2.58969	−	1.66429i	−0.114005	−	0.0732664i
$517$	1.41667	−	9.85313i	0.0623049	−	0.433340i
$518$	−7.27430	+	8.23596i	−0.319615	+	0.361867i
$519$	−2.96653	−	1.90647i	−0.130216	−	0.0836848i
$520$	−0.615274	+	0.533138i	−0.0269815	+	0.0233796i
$521$	−8.17108	−	17.8922i	−0.357982	−	0.783871i	−0.999854	−	0.0170594i	$-0.994570\pi$
$521$	−8.17108	−	17.8922i	−0.357982	−	0.783871i	0.641873	−	0.766811i	$-0.278158\pi$
$522$	−9.23962	+	5.93794i	−0.404407	+	0.259897i
$523$	26.0554	+	7.65055i	1.13932	+	0.334535i	0.796366	−	0.604816i	$-0.206753\pi$
$523$	26.0554	+	7.65055i	1.13932	+	0.334535i	0.342957	+	0.939351i	$0.388571\pi$
$524$	−1.78292	−	1.54491i	−0.0778872	−	0.0674896i
$525$	12.4520	+	3.78478i	0.543448	+	0.165181i
$526$	26.2040	+	11.9670i	1.14255	+	0.521785i
$527$	20.7873	−	2.98876i	0.905508	−	0.130192i
$528$	4.44667			0.193517
$529$	−22.2844	+	5.69275i	−0.968885	+	0.247511i
$530$		−	1.02644i		−	0.0445858i
$531$	−3.18415	+	0.457812i	−0.138180	+	0.0198673i
$532$	0.597309	+	0.949089i	0.0258966	+	0.0411482i
$533$	−6.55931	+	1.92599i	−0.284115	+	0.0834238i
$534$	14.8933	+	12.9051i	0.644495	+	0.558458i
$535$	0.164250	−	0.559385i	0.00710116	−	0.0241843i
$536$	−0.791806	−	1.23207i	−0.0342008	−	0.0532175i
$537$	−10.3584	+	4.73053i	−0.446999	+	0.204138i
$538$	−17.1685	+	14.8766i	−0.740187	+	0.641376i
$539$	6.62340	+	1.08081i	0.285290	+	0.0465539i
$540$	−0.112255	−	0.0161398i	−0.00483067	−	0.000694546i
$541$	5.22449	−	36.3371i	0.224618	−	1.56225i	−0.495627	−	0.868535i	$-0.665062\pi$
$541$	5.22449	−	36.3371i	0.224618	−	1.56225i	0.720245	−	0.693719i	$-0.244029\pi$
$542$	−20.2430	+	31.4988i	−0.869512	+	1.35299i
$543$	−2.40770	+	2.08629i	−0.103324	+	0.0895312i
$544$	1.93576	+	4.23873i	0.0829951	+	0.181734i
$545$	−1.78646	−	2.77979i	−0.0765236	−	0.119073i
$546$	−3.60047	+	3.06057i	−0.154086	+	0.130980i
$547$	−7.41474	+	8.55707i	−0.317031	+	0.365874i	−0.891790	−	0.452449i	$-0.850550\pi$
$547$	−7.41474	+	8.55707i	−0.317031	+	0.365874i	0.574759	+	0.818323i	$0.305096\pi$
$548$	−1.23587	−	4.20898i	−0.0527937	−	0.179799i
$549$	−4.20188	+	9.20084i	−0.179332	+	0.392682i
$550$	−7.22919	+	1.03940i	−0.308254	+	0.0443202i
$551$	−7.54364			−0.321370
$552$	−11.8022	+	1.48366i	−0.502334	+	0.0631489i
$553$	7.66679	+	5.03046i	0.326025	+	0.213917i
$554$	0.413374	+	2.87508i	0.0175626	+	0.122150i
$555$	0.317073	−	0.694292i	0.0134590	−	0.0294711i
$556$	−0.837726	−	2.85303i	−0.0355275	−	0.120996i
$557$	−3.81601	−	3.30659i	−0.161690	−	0.140105i	0.570258	−	0.821465i	$-0.306843\pi$
$557$	−3.81601	−	3.30659i	−0.161690	−	0.140105i	−0.731948	+	0.681361i	$0.761389\pi$
$558$	4.37040	−	14.8842i	0.185014	−	0.630100i
$559$	7.49529	−	4.81693i	0.317017	−	0.203734i
$560$	3.45219	+	0.529792i	0.145882	+	0.0223878i
$561$	−1.31632	−	1.51912i	−0.0555751	−	0.0641371i
$562$	−20.5129	+	31.9187i	−0.865286	+	1.34641i
$563$	1.62987	−	11.3360i	0.0686909	−	0.477756i	−0.926219	−	0.376986i	$-0.876960\pi$
$563$	1.62987	−	11.3360i	0.0686909	−	0.477756i	0.994910	−	0.100770i	$-0.0321305\pi$
$564$	0.588804	−	4.09522i	0.0247931	−	0.172440i
$565$	0.850487	−	1.32338i	0.0357803	−	0.0556752i
$566$	9.09688	+	10.4984i	0.382370	+	0.441279i
$567$	2.61514	+	0.401333i	0.109825	+	0.0168544i
$568$	−20.2214	+	12.9955i	−0.848470	+	0.545279i
$569$	2.87574	−	9.79387i	0.120557	−	0.410580i	−0.876995	−	0.480499i	$-0.840456\pi$
$569$	2.87574	−	9.79387i	0.120557	−	0.410580i	0.997553	+	0.0699184i	$0.0222739\pi$
$570$	−0.354340	−	0.307037i	−0.0148417	−	0.0128604i
$571$	0.781081	+	2.66012i	0.0326872	+	0.111322i	0.974221	−	0.225597i	$-0.0724332\pi$
$571$	0.781081	+	2.66012i	0.0326872	+	0.111322i	−0.941534	+	0.336919i	$0.890615\pi$
$572$	0.183020	−	0.400757i	0.00765243	−	0.0167565i
$573$	1.03109	+	7.17140i	0.0430745	+	0.299589i
$574$	20.3074	+	13.3244i	0.847613	+	0.556149i
$575$	22.7495	−	6.24359i	0.948718	−	0.260376i
$576$	−5.83429			−0.243096
$577$	−42.2832	+	6.07941i	−1.76027	+	0.253089i	−0.945252	−	0.326341i	$-0.894184\pi$
$577$	−42.2832	+	6.07941i	−1.76027	+	0.253089i	−0.815022	+	0.579430i	$0.803275\pi$
$578$	−8.10889	+	17.7560i	−0.337285	+	0.738552i
$579$	−4.94838	−	16.8526i	−0.205648	−	0.700371i
$580$	0.526692	−	0.607835i	0.0218697	−	0.0252390i
$581$	31.2714	−	26.5821i	1.29736	−	1.10281i
$582$	−7.81953	−	12.1674i	−0.324130	−	0.504356i
$583$	−0.927437	−	2.03080i	−0.0384105	−	0.0841073i
$584$	8.70997	−	7.54723i	0.360421	−	0.312307i
$585$	0.177458	−	0.276131i	0.00733700	−	0.0114166i
$586$	6.25576	−	43.5098i	0.258423	−	1.79737i
$587$	29.9647	+	4.30828i	1.23678	+	0.177822i	0.729511	−	0.683969i	$-0.239748\pi$
$587$	29.9647	+	4.30828i	1.23678	+	0.177822i	0.507265	+	0.861790i	$0.330657\pi$
$588$	2.75286	+	0.449214i	0.113526	+	0.0185253i
$589$	8.05223	−	6.97730i	0.331786	−	0.287495i
$590$	1.28981	−	0.589035i	0.0531005	−	0.0242502i
$591$	−5.76801	−	8.97520i	−0.237264	−	0.369191i
$592$	−3.50432	+	11.9346i	−0.144027	+	0.490510i
$593$	4.32769	+	3.74996i	0.177717	+	0.153993i	0.739177	−	0.673511i	$-0.235215\pi$
$593$	4.32769	+	3.74996i	0.177717	+	0.153993i	−0.561460	+	0.827504i	$0.689760\pi$
$594$	−1.42462	+	0.418306i	−0.0584528	+	0.0171633i
$595$	−0.840938	−	1.33620i	−0.0344751	−	0.0547789i
$596$	−5.46364	+	0.785553i	−0.223800	+	0.0321775i
$597$		−	11.9337i		−	0.488414i
$598$	−2.55869	+	8.17463i	−0.104633	+	0.334286i
$599$	17.9475			0.733313			0.366657	−	0.930356i	$-0.380502\pi$
$599$	17.9475			0.733313			0.366657	+	0.930356i	$0.380502\pi$
$600$	12.0764	−	1.73632i	0.493015	−	0.0708849i
$601$	4.29400	+	1.96100i	0.175156	+	0.0799910i	0.501063	−	0.865411i	$-0.332942\pi$
$601$	4.29400	+	1.96100i	0.175156	+	0.0799910i	−0.325907	+	0.945402i	$0.605670\pi$
$602$	−30.2870	−	9.20575i	−1.23441	−	0.375198i
$603$	0.446257	+	0.386684i	0.0181730	+	0.0157470i
$604$	−3.68136	−	1.08095i	−0.149793	−	0.0439831i
$605$	−2.41368	+	1.55118i	−0.0981300	+	0.0630643i
$606$	−10.0832	−	22.0791i	−0.409602	−	0.896903i
$607$	−11.0583	+	9.58206i	−0.448842	+	0.388924i	−0.849743	−	0.527198i	$-0.823243\pi$
$607$	−11.0583	+	9.58206i	−0.448842	+	0.388924i	0.400901	+	0.916122i	$0.368697\pi$
$608$	1.98881	+	1.27813i	0.0806571	+	0.0518352i
$609$	−12.4212	+	14.0633i	−0.503332	+	0.569873i
$610$	0.634503	−	4.41307i	0.0256903	−	0.178680i
$611$	10.0737	+	6.47395i	0.407537	+	0.261908i
$612$	−0.547097	−	0.631384i	−0.0221151	−	0.0255222i
$613$	−35.0968	+	16.0282i	−1.41755	+	0.647372i	−0.969152	−	0.246463i	$-0.920732\pi$
$613$	−35.0968	+	16.0282i	−1.41755	+	0.647372i	−0.448395	+	0.893835i	$0.648004\pi$
$614$	−18.0258	−	28.0486i	−0.727461	−	1.13195i
$615$	−1.61875	−	0.475309i	−0.0652744	−	0.0191663i
$616$	6.05300	−	1.71518i	0.243882	−	0.0691065i
$617$	4.88463	+	16.6355i	0.196648	+	0.669721i	0.997488	+	0.0708423i	$0.0225687\pi$
$617$	4.88463	+	16.6355i	0.196648	+	0.669721i	−0.800840	+	0.598879i	$0.795613\pi$
$618$	23.0761	+	10.5385i	0.928258	+	0.423921i
$619$	6.64741	+	46.2338i	0.267182	+	1.85829i	0.474815	+	0.880086i	$0.342515\pi$
$619$	6.64741	+	46.2338i	0.267182	+	1.85829i	−0.207633	+	0.978207i	$0.566576\pi$
$620$			1.13597i			0.0456215i
$621$	4.39710	−	1.91454i	0.176450	−	0.0768279i
$622$		−	12.8927i		−	0.516950i
$623$	30.4900	+	14.2751i	1.22155	+	0.571919i
$624$	−2.22209	+	4.86569i	−0.0889546	+	0.194783i
$625$	−22.8278	+	6.70284i	−0.913111	+	0.268114i
$626$	−13.5373	+	15.6229i	−0.541059	+	0.624416i
$627$	−0.978480	−	0.287308i	−0.0390767	−	0.0114740i
$628$	6.04566	−	3.88531i	0.241248	−	0.155041i
$629$	5.11458	−	2.33575i	0.203932	−	0.0931326i
$630$	−1.15585	+	0.155019i	−0.0460500	+	0.00617611i
$631$	25.0562	−	38.9882i	0.997471	−	1.55210i	0.173994	−	0.984747i	$-0.444333\pi$
$631$	25.0562	−	38.9882i	0.997471	−	1.55210i	0.823477	−	0.567349i	$-0.192031\pi$
$632$	8.50884	+	1.22339i	0.338463	+	0.0486637i
$633$	−2.74081	−	0.394069i	−0.108937	−	0.0156628i
$634$	41.1380	+	26.4378i	1.63380	+	1.04998i
$635$	−1.31603	−	1.51878i	−0.0522252	−	0.0602711i
$636$	−0.385467	−	0.844055i	−0.0152848	−	0.0334690i
$637$	−4.49249	+	6.70743i	−0.177999	+	0.265758i
$638$	2.96657	−	10.1032i	0.117447	−	0.399989i
$639$	6.34644	−	7.32418i	0.251061	−	0.289740i
$640$	3.68134	−	1.08094i	0.145518	−	0.0427279i
$641$	−25.9084	−	11.8320i	−1.02332	−	0.467335i	−0.168195	−	0.985754i	$-0.553794\pi$
$641$	−25.9084	−	11.8320i	−1.02332	−	0.467335i	−0.855127	+	0.518418i	$0.826521\pi$
$642$	−0.451473	−	3.14006i	−0.0178182	−	0.123928i
$643$	0.316414			0.0124781			0.00623907	−	0.999981i	$-0.498014\pi$
$643$	0.316414			0.0124781			0.00623907	+	0.999981i	$0.498014\pi$
$644$	4.65455	−	1.97437i	0.183415	−	0.0778011i
$645$	2.19879			0.0865772
$646$	−0.491542	−	3.41875i	−0.0193395	−	0.134509i
$647$	−15.9537	−	7.28580i	−0.627204	−	0.286434i	0.0763449	−	0.997081i	$-0.475675\pi$
$647$	−15.9537	−	7.28580i	−0.627204	−	0.286434i	−0.703549	+	0.710647i	$0.748402\pi$
$648$	2.37982	−	0.698779i	0.0934882	−	0.0274506i
$649$	2.01965	−	2.33080i	0.0792781	−	0.0914918i
$650$	2.47522	−	8.42981i	0.0970860	−	0.330645i
$651$	0.251168	−	26.5001i	0.00984404	−	1.03862i
$652$	1.00356	+	2.19749i	0.0393024	+	0.0860602i
$653$	24.6147	+	28.4069i	0.963249	+	1.11165i	0.993696	+	0.112112i	$0.0357615\pi$
$653$	24.6147	+	28.4069i	0.963249	+	1.11165i	−0.0304470	+	0.999536i	$0.509693\pi$
$654$	−15.1260	−	9.72088i	−0.591473	−	0.380116i
$655$	1.66791	+	0.239809i	0.0651707	+	0.00937013i
$656$	27.2136	+	3.91273i	1.06251	+	0.152766i
$657$	−2.51215	+	3.90898i	−0.0980082	+	0.152504i
$658$	−5.65533	−	42.1670i	−0.220468	−	1.64384i
$659$	−16.4099	+	7.49416i	−0.639240	+	0.291931i	−0.708546	−	0.705664i	$-0.750649\pi$
$659$	−16.4099	+	7.49416i	−0.639240	+	0.291931i	0.0693063	+	0.997595i	$0.477921\pi$
$660$	0.0914670	−	0.0587822i	0.00356035	−	0.00228810i
$661$	43.3166	+	12.7189i	1.68482	+	0.494708i	0.977278	−	0.211963i	$-0.0679857\pi$
$661$	43.3166	+	12.7189i	1.68482	+	0.494708i	0.707542	+	0.706671i	$0.249804\pi$
$662$	5.74904	−	6.63475i	0.223443	−	0.257867i
$663$	2.32005	−	0.681229i	0.0901034	−	0.0264567i
$664$	15.9835	−	34.9991i	0.620282	−	1.35823i
$665$	−0.725416	−	0.339632i	−0.0281304	−	0.0131704i
$666$		−	4.15325i		−	0.160935i
$667$	−5.43691	+	33.5740i	−0.210518	+	1.29999i
$668$			4.24647i			0.164301i
$669$	0.998603	+	6.94543i	0.0386082	+	0.268526i
$670$	−0.236753	−	0.108121i	−0.00914655	−	0.00417709i
$671$	−2.73205	−	9.30451i	−0.105470	−	0.359197i
$672$	5.65751	−	1.60311i	0.218243	−	0.0618413i
$673$	−36.8862	−	10.8308i	−1.42186	−	0.417495i	−0.521726	−	0.853113i	$-0.674712\pi$
$673$	−36.8862	−	10.8308i	−1.42186	−	0.417495i	−0.900132	+	0.435618i	$0.856530\pi$
$674$	−23.7634	−	36.9766i	−0.915333	−	1.42429i
$675$	−4.47448	+	2.04342i	−0.172223	+	0.0786514i
$676$	−3.04516	−	3.51431i	−0.117122	−	0.135166i
$677$	37.0898	+	23.8362i	1.42548	+	0.916099i	0.999938	+	0.0111600i	$0.00355241\pi$
$677$	37.0898	+	23.8362i	1.42548	+	0.916099i	0.425541	+	0.904939i	$0.360084\pi$
$678$	1.21821	−	8.47282i	0.0467850	−	0.325397i
$679$	−18.5196	−	16.3572i	−0.710716	−	0.627731i
$680$	−1.24511	−	0.800184i	−0.0477478	−	0.0306856i
$681$	−12.1857	+	10.5590i	−0.466958	+	0.404621i
$682$	6.17812	+	13.5282i	0.236573	+	0.518022i
$683$	34.0485	−	21.8816i	1.30283	−	0.837278i	0.309312	−	0.950960i	$-0.399901\pi$
$683$	34.0485	−	21.8816i	1.30283	−	0.837278i	0.993517	+	0.113683i	$0.0362647\pi$
$684$	−0.406682	−	0.119413i	−0.0155499	−	0.00456586i
$685$	2.36796	+	2.05185i	0.0904753	+	0.0783973i
$686$	28.4949	−	3.27315i	1.08794	−	0.124969i
$687$	−20.3784	−	9.30652i	−0.777486	−	0.355066i
$688$	−35.4675	+	5.09946i	−1.35219	+	0.194415i
$689$	2.68563			0.102314
$690$	−1.62190	+	1.35575i	−0.0617445	+	0.0516125i
$691$			9.54135i			0.362970i	0.983394	+	0.181485i	$0.0580904\pi$
$691$			9.54135i			0.362970i	−0.983394	+	0.181485i	$0.941910\pi$
$692$	1.39082	−	0.199970i	0.0528710	−	0.00760170i
$693$	−2.14676	+	1.35106i	−0.0815487	+	0.0513226i
$694$	−20.1456	+	5.91528i	−0.764716	+	0.224541i
$695$	1.60511	+	1.39084i	0.0608854	+	0.0527575i
$696$	−4.95564	+	16.8774i	−0.187843	+	0.639735i
$697$	−6.71917	−	10.4552i	−0.254507	−	0.396020i
$698$	13.4020	−	6.12051i	0.507275	−	0.231665i
$699$	−1.31884	+	1.14278i	−0.0498830	+	0.0432238i
$700$	−4.73740	+	2.10947i	−0.179057	+	0.0797303i
$701$	7.28368	+	1.04724i	0.275101	+	0.0395535i	0.278484	−	0.960441i	$-0.410168\pi$
$701$	7.28368	+	1.04724i	0.275101	+	0.0395535i	−0.00338355	+	0.999994i	$0.501077\pi$
$702$	0.254185	−	1.76790i	0.00959360	−	0.0667249i
$703$	1.54224	−	2.39977i	0.0581665	−	0.0905089i
$704$	4.22723	−	3.66292i	0.159320	−	0.138051i
$705$	1.22762	+	2.68812i	0.0462349	+	0.101240i
$706$	−2.07924	−	3.23536i	−0.0782533	−	0.121765i
$707$	−26.8566	−	31.5943i	−1.01005	−	1.18823i
$708$	0.839418	−	0.968740i	0.0315473	−	0.0364075i
$709$	−9.70374	−	33.0479i	−0.364432	−	1.24114i	−0.914008	−	0.405697i	$-0.867029\pi$
$709$	−9.70374	−	33.0479i	−0.364432	−	1.24114i	0.549576	−	0.835444i	$-0.314789\pi$
$710$	−1.77454	+	3.88569i	−0.0665972	+	0.145828i
$711$	−3.43058	+	0.493243i	−0.128657	+	0.0184981i
$712$	31.5608			1.18279
$713$	−25.2500	−	40.8663i	−0.945619	−	1.53045i
$714$	−7.18279	−	4.71288i	−0.268809	−	0.176375i
$715$	0.0447845	+	0.311483i	0.00167485	+	0.0116488i
$716$	1.88496	−	4.12749i	0.0704443	−	0.154252i
$717$	−0.301018	−	1.02517i	−0.0112417	−	0.0382859i
$718$	−18.1305	−	15.7102i	−0.676624	−	0.586298i
$719$	9.67629	−	32.9544i	0.360865	−	1.22899i	−0.556468	−	0.830869i	$-0.687844\pi$
$719$	9.67629	−	32.9544i	0.360865	−	1.22899i	0.917332	−	0.398123i	$-0.130338\pi$
$720$	−1.11052	+	0.713690i	−0.0413867	+	0.0265976i
$721$	42.8375	+	6.57408i	1.59535	+	0.244832i
$722$	18.1219	+	20.9138i	0.674429	+	0.778332i
$723$	11.1096	−	17.2868i	0.413169	−	0.642904i
$724$	0.180662	−	1.25654i	0.00671427	−	0.0466988i
$725$	4.96463	−	34.5298i	0.184382	−	1.28240i
$726$	−8.44060	+	13.1338i	−0.313260	+	0.487442i
$727$	−1.00731	−	1.16250i	−0.0373591	−	0.0431146i	0.736763	−	0.676152i	$-0.236354\pi$
$727$	−1.00731	−	1.16250i	−0.0373591	−	0.0431146i	−0.774122	+	0.633037i	$0.781808\pi$
$728$	−1.14800	+	7.48049i	−0.0425476	+	0.277245i
$729$	−0.841254	+	0.540641i	−0.0311575	+	0.0200237i
$730$	0.577026	−	1.96517i	0.0213567	−	0.0727341i
$731$	12.2414	+	10.6072i	0.452763	+	0.392321i
$732$	−1.13551	−	3.86720i	−0.0419697	−	0.142936i
$733$	−3.08346	+	6.75183i	−0.113890	+	0.249384i	−0.957990	−	0.286801i	$-0.907408\pi$
$733$	−3.08346	+	6.75183i	−0.113890	+	0.249384i	0.844100	+	0.536186i	$0.180135\pi$
$734$	−3.37989	−	23.5076i	−0.124754	−	0.867683i
$735$	−1.82761	+	0.793129i	−0.0674126	+	0.0292550i
$736$	7.12190	−	7.93031i	0.262517	−	0.292315i
$737$	−0.566105			−0.0208528
$738$	−9.08672	+	1.30647i	−0.334487	+	0.0480920i
$739$	−16.5589	+	36.2589i	−0.609128	+	1.33381i	0.314040	+	0.949410i	$0.398317\pi$
$739$	−16.5589	+	36.2589i	−0.609128	+	1.33381i	−0.923168	+	0.384396i	$0.874410\pi$
$740$	0.0856852	+	0.291817i	0.00314985	+	0.0107274i
$741$	0.803346	−	0.927110i	0.0295116	−	0.0340582i
$742$	−6.17990	−	7.27008i	−0.226871	−	0.266893i
$743$	18.2470	+	28.3929i	0.669419	+	1.04164i	0.995358	+	0.0962449i	$0.0306832\pi$
$743$	18.2470	+	28.3929i	0.669419	+	1.04164i	−0.325939	+	0.945391i	$0.605680\pi$
$744$	−10.3205	−	22.5988i	−0.378369	−	0.828514i
$745$	2.97965	−	2.58189i	0.109166	−	0.0945929i
$746$	−23.9685	+	37.2958i	−0.877550	+	1.36549i
$747$	−2.20769	+	15.3548i	−0.0807752	+	0.561804i
$748$	0.792798	+	0.113987i	0.0289876	+	0.00416778i
$749$	−2.20454	−	4.95091i	−0.0805521	−	0.180902i
$750$	3.30421	−	2.86311i	0.120653	−	0.104546i
$751$	−40.9280	+	18.6912i	−1.49348	+	0.682051i	−0.983957	−	0.178405i	$-0.942906\pi$
$751$	−40.9280	+	18.6912i	−1.49348	+	0.682051i	−0.509526	+	0.860456i	$0.670179\pi$
$752$	−26.0365	−	40.5135i	−0.949452	−	1.47738i
$753$	1.17882	−	4.01470i	0.0429587	−	0.146304i
$754$	9.57278	+	8.29486i	0.348620	+	0.302081i
$755$	2.62949	−	0.772087i	0.0956968	−	0.0280991i
$756$	−0.892249	+	0.561537i	−0.0324508	+	0.0204229i
$757$	19.9197	−	2.86401i	0.723992	−	0.104094i	0.229540	−	0.973299i	$-0.426278\pi$
$757$	19.9197	−	2.86401i	0.723992	−	0.104094i	0.494452	+	0.869205i	$0.335369\pi$
$758$		−	32.9479i		−	1.19672i
$759$	−1.98392	+	4.14779i	−0.0720117	+	0.150555i
$760$	−0.750893			−0.0272378
$761$	16.0897	−	2.31334i	0.583250	−	0.0838586i	0.155627	−	0.987816i	$-0.450260\pi$
$761$	16.0897	−	2.31334i	0.583250	−	0.0838586i	0.427623	+	0.903957i	$0.359351\pi$
$762$	−9.94709	−	4.54268i	−0.360345	−	0.164564i
$763$	−29.3894	−	8.93292i	−1.06397	−	0.323394i
$764$	−2.18181	−	1.89055i	−0.0789352	−	0.0683977i
$765$	0.572559	+	0.168118i	0.0207009	+	0.00607833i
$766$	17.5469	−	11.2767i	0.633994	−	0.407443i
$767$	1.54118	+	3.37470i	0.0556486	+	0.121853i
$768$	6.95956	−	6.03049i	0.251132	−	0.217607i
$769$	−1.64083	−	1.05450i	−0.0591698	−	0.0380261i	0.510721	−	0.859746i	$-0.329378\pi$
$769$	−1.64083	−	1.05450i	−0.0591698	−	0.0380261i	−0.569891	+	0.821720i	$0.693015\pi$
$770$	0.740141	−	0.837988i	0.0266728	−	0.0301990i
$771$	3.01035	−	20.9375i	0.108415	−	0.754044i
$772$	5.88769	+	3.78379i	0.211903	+	0.136182i
$773$	−4.41973	−	5.10064i	−0.158967	−	0.183457i	0.670679	−	0.741748i	$-0.266003\pi$
$773$	−4.41973	−	5.10064i	−0.158967	−	0.183457i	−0.829646	+	0.558291i	$0.811457\pi$
$774$	10.8833	−	4.97024i	0.391193	−	0.178652i
$775$	26.6381	+	41.4497i	0.956868	+	1.48892i
$776$	−22.2254	−	6.52597i	−0.797846	−	0.234269i
$777$	−1.93436	−	6.82653i	−0.0693949	−	0.244900i
$778$	−3.01158	−	10.2565i	−0.107970	−	0.367713i
$779$	−5.73548	−	2.61931i	−0.205495	−	0.0938464i
$780$	0.0186136	+	0.129461i	0.000666474	+	0.00463543i
$781$			9.29118i			0.332465i
$782$	−15.5699	−	0.276310i	−0.556778	−	0.00988083i
$783$		−	7.09186i		−	0.253443i
$784$	27.6409	−	17.0322i	0.987174	−	0.608293i
$785$	−2.13236	+	4.66922i	−0.0761073	+	0.166652i
$786$	8.79771	−	2.58324i	0.313804	−	0.0921412i
$787$	−25.9617	+	29.9614i	−0.925435	+	1.06801i	0.0720693	+	0.997400i	$0.477040\pi$
$787$	−25.9617	+	29.9614i	−0.925435	+	1.06801i	−0.997504	+	0.0706090i	$0.977506\pi$
$788$	4.07898	+	1.19770i	0.145308	+	0.0426662i
$789$	−15.6481	+	10.0564i	−0.557088	+	0.358019i
$790$	1.38963	−	0.634621i	0.0494407	−	0.0225788i
$791$	−1.94387	−	14.4938i	−0.0691161	−	0.515340i
$792$	−1.28559	+	2.00041i	−0.0456813	+	0.0710815i
$793$	11.5465	+	1.66014i	0.410029	+	0.0589533i
$794$	3.88615	+	0.558744i	0.137914	+	0.0198291i
$795$	0.557564	+	0.358324i	0.0197747	+	0.0127085i
$796$	3.11399	+	3.59373i	0.110372	+	0.127376i
$797$	5.02023	+	10.9928i	0.177826	+	0.389384i	0.977465	−	0.211097i	$-0.0677034\pi$
$797$	5.02023	+	10.9928i	0.177826	+	0.389384i	−0.799640	+	0.600480i	$0.794976\pi$
$798$	−4.35830	−	0.0413080i	−0.154282	−	0.00146229i
$799$	−6.13321	+	20.8878i	−0.216977	+	0.738957i
$800$	−7.15933	+	8.26230i	−0.253120	+	0.292117i
$801$	−12.2092	+	3.58495i	−0.431391	+	0.126668i
$802$	8.37890	+	3.82651i	0.295869	+	0.135119i
$803$	−0.633981	−	4.40943i	−0.0223727	−	0.155606i
$804$	−0.235288			−0.00829797
$805$	−2.03440	+	2.98378i	−0.0717033	+	0.105164i
$806$	−17.8903			−0.630159
$807$	−2.08756	−	14.5193i	−0.0734855	−	0.511103i
$808$	−35.3604	−	16.1486i	−1.24398	−	0.568105i
$809$	39.3411	−	11.5516i	1.38316	−	0.406132i	0.496291	−	0.868156i	$-0.334695\pi$
$809$	39.3411	−	11.5516i	1.38316	−	0.406132i	0.886868	+	0.462024i	$0.152877\pi$
$810$	0.288650	−	0.333119i	0.0101421	−	0.0117046i
$811$	5.43057	−	18.4948i	0.190693	−	0.649441i	−0.807528	−	0.589829i	$-0.799195\pi$
$811$	5.43057	−	18.4948i	0.190693	−	0.649441i	0.998222	−	0.0596126i	$-0.0189865\pi$
$812$	0.0708597	−	7.47623i	0.00248669	−	0.262364i
$813$	−10.0434	−	21.9920i	−0.352238	−	0.771294i
$814$	2.60752	+	3.00923i	0.0913934	+	0.105474i
$815$	−1.45161	−	0.932893i	−0.0508477	−	0.0326778i
$816$	−9.62555	−	1.38395i	−0.336962	−	0.0484478i
$817$	8.13403	+	1.16950i	0.284574	+	0.0409155i
$818$	−27.3381	+	42.5389i	−0.955855	+	1.48734i
$819$	−0.405598	−	3.02420i	−0.0141728	−	0.105674i
$820$	0.611501	−	0.279263i	0.0213545	−	0.00975228i
$821$	20.2586	−	13.0194i	0.707029	−	0.454380i	−0.137074	−	0.990561i	$-0.543770\pi$
$821$	20.2586	−	13.0194i	0.707029	−	0.454380i	0.844103	+	0.536181i	$0.180133\pi$
$822$	16.3588	+	4.80337i	0.570578	+	0.167537i
$823$	−9.26935	+	10.6974i	−0.323109	+	0.372888i	−0.893945	−	0.448176i	$-0.852074\pi$
$823$	−9.26935	+	10.6974i	−0.323109	+	0.372888i	0.570836	+	0.821064i	$0.306619\pi$
$824$	38.9830	−	11.4464i	1.35804	−	0.398755i
$825$	1.95906	−	4.28975i	0.0682058	−	0.149350i
$826$	5.58903	−	11.9375i	0.194467	−	0.415360i
$827$		−	7.81532i		−	0.271765i	−0.990725	−	0.135883i	$-0.956613\pi$
$827$		−	7.81532i		−	0.271765i	0.990725	−	0.135883i	$-0.0433870\pi$
$828$	−0.824569	+	1.72393i	−0.0286558	+	0.0599107i
$829$			4.88846i			0.169783i	0.996390	+	0.0848915i	$0.0270544\pi$
$829$			4.88846i			0.169783i	−0.996390	+	0.0848915i	$0.972946\pi$
$830$	−0.973106	−	6.76810i	−0.0337770	−	0.234924i
$831$	−1.70605	−	0.779127i	−0.0591822	−	0.0270276i
$832$	1.89565	+	6.45599i	0.0657199	+	0.223821i
$833$	−14.0011	−	4.40101i	−0.485108	−	0.152486i
$834$	11.0887	+	3.25594i	0.383971	+	0.112744i
$835$	−1.63983	−	2.55163i	−0.0567487	−	0.0883028i
$836$	0.369631	−	0.168805i	0.0127840	−	0.00583824i
$837$	6.55944	+	7.56999i	0.226727	+	0.261657i
$838$	−6.10661	−	3.92448i	−0.210949	−	0.135569i
$839$	5.37063	−	37.3535i	0.185415	−	1.28959i	−0.658284	−	0.752770i	$-0.728717\pi$
$839$	5.37063	−	37.3535i	0.185415	−	1.28959i	0.843699	−	0.536817i	$-0.180373\pi$
$840$	−1.23641	+	1.39986i	−0.0426600	+	0.0482997i
$841$	17.9141	+	11.5127i	0.617728	+	0.396989i
$842$	5.29634	−	4.58930i	0.182524	−	0.158158i
$843$	−10.1773	−	22.2853i	−0.350526	−	0.767545i
$844$	0.928200	−	0.596518i	0.0319500	−	0.0205330i
$845$	3.18688	+	0.935753i	0.109632	+	0.0321909i
$846$	12.1527	+	10.5304i	0.417818	+	0.362041i
$847$	−7.75642	+	25.5187i	−0.266514	+	0.876833i
$848$	−9.82480	−	4.48684i	−0.337385	−	0.154079i
$849$	−8.87837	+	1.27652i	−0.304705	+	0.0438100i
$850$	15.9723			0.547844
$851$	−9.56896	−	8.59351i	−0.328020	−	0.294582i
$852$			3.86166i			0.132298i
$853$	−18.5642	+	2.66913i	−0.635627	+	0.0913893i	−0.452593	−	0.891717i	$-0.649501\pi$
$853$	−18.5642	+	2.66913i	−0.635627	+	0.0913893i	−0.183034	+	0.983107i	$0.558592\pi$
$854$	−22.0757	−	35.0770i	−0.755415	−	1.20031i
$855$	0.290481	−	0.0852928i	0.00993423	−	0.00291695i
$856$	−3.83968	−	3.32710i	−0.131238	−	0.113718i
$857$	−14.1016	+	48.0257i	−0.481702	+	1.64053i	0.256939	+	0.966428i	$0.417286\pi$
$857$	−14.1016	+	48.0257i	−0.481702	+	1.64053i	−0.738641	+	0.674099i	$0.764532\pi$
$858$	0.925760	+	1.44051i	0.0316049	+	0.0491782i
$859$	28.5591	−	13.0425i	0.974425	−	0.445005i	0.136410	−	0.990652i	$-0.456443\pi$
$859$	28.5591	−	13.0425i	0.974425	−	0.445005i	0.838015	+	0.545647i	$0.183716\pi$
$860$	−0.662146	+	0.573753i	−0.0225790	+	0.0195648i
$861$	−14.3270	+	6.37951i	−0.488262	+	0.217413i
$862$	−28.7720	−	4.13679i	−0.979978	−	0.140900i
$863$	−6.70408	+	46.6279i	−0.228209	+	1.58723i	0.477436	+	0.878667i	$0.341566\pi$
$863$	−6.70408	+	46.6279i	−0.228209	+	1.58723i	−0.705645	+	0.708565i	$0.749343\pi$
$864$	−1.20159	+	1.86971i	−0.0408789	+	0.0636087i
$865$	−0.758497	+	0.657242i	−0.0257897	+	0.0223469i
$866$	13.8740	+	30.3799i	0.471459	+	1.03235i
$867$	−6.81430	−	10.6033i	−0.231426	−	0.360105i
$868$	6.83931	+	8.04581i	0.232141	+	0.273093i
$869$	2.17595	−	2.51118i	0.0738141	−	0.0851861i
$870$	0.880682	+	2.99933i	0.0298579	+	0.101687i
$871$	0.282893	−	0.619450i	0.00958547	−	0.0209892i
$872$	−28.5029	+	4.09810i	−0.965231	+	0.138779i
$873$	9.33910			0.316081
$874$	−6.72102	+	4.15270i	−0.227342	+	0.140467i
$875$	4.09750	−	6.24490i	0.138521	−	0.211116i
$876$	−0.263499	−	1.83268i	−0.00890280	−	0.0619204i
$877$	−8.82493	+	19.3239i	−0.297997	+	0.652522i	−0.998106	−	0.0615135i	$-0.980407\pi$
$877$	−8.82493	+	19.3239i	−0.297997	+	0.652522i	0.700109	+	0.714036i	$0.253135\pi$
$878$	−1.95985	−	6.67464i	−0.0661418	−	0.225258i
$879$	21.4507	+	18.5871i	0.723513	+	0.626928i
$880$	0.356556	−	1.21432i	0.0120195	−	0.0409346i
$881$	−5.83460	+	3.74967i	−0.196573	+	0.126330i	−0.635225	−	0.772327i	$-0.719092\pi$
$881$	−5.83460	+	3.74967i	−0.196573	+	0.126330i	0.438652	+	0.898657i	$0.355456\pi$
$882$	−7.25329	+	8.05696i	−0.244231	+	0.271292i
$883$	21.6957	+	25.0382i	0.730119	+	0.842603i	0.992485	−	0.122366i	$-0.0390481\pi$
$883$	21.6957	+	25.0382i	0.730119	+	0.842603i	−0.262366	+	0.964969i	$0.584503\pi$
$884$	−0.520904	+	0.810542i	−0.0175199	+	0.0272615i
$885$	−0.130299	+	0.906252i	−0.00437996	+	0.0304633i
$886$	−2.76254	+	19.2139i	−0.0928094	+	0.645503i
$887$	−19.2250	+	29.9147i	−0.645513	+	1.00444i	0.352138	+	0.935948i	$0.385455\pi$
$887$	−19.2250	+	29.9147i	−0.645513	+	1.00444i	−0.997652	+	0.0684906i	$0.978182\pi$
$888$	−4.35585	−	5.02692i	−0.146173	−	0.168692i
$889$	−18.4653	−	2.83379i	−0.619308	−	0.0950424i
$890$	4.71840	−	3.03233i	0.158161	−	0.101644i
$891$	0.270101	−	0.919881i	0.00904874	−	0.0308172i
$892$	−2.11307	−	1.83098i	−0.0707507	−	0.0613058i
$893$	3.11161	+	10.5972i	0.104126	+	0.354621i
$894$	8.91214	−	19.5149i	0.298067	−	0.652675i
$895$	0.461246	+	3.20804i	0.0154178	+	0.107233i
$896$	19.5662	−	29.8203i	0.653661	−	0.996228i
$897$	−3.54724	−	4.24359i	−0.118439	−	0.141689i
$898$	32.6443			1.08935
$899$	−70.3129	+	10.1095i	−2.34507	+	0.337170i
$900$	0.814238	−	1.78293i	0.0271413	−	0.0594311i
$901$	1.37554	+	4.68465i	0.0458258	+	0.156068i
$902$	5.76354	−	6.65148i	0.191905	−	0.221470i
$903$	15.5736	−	13.2382i	0.518256	−	0.440541i
$904$	−7.41166	−	11.5328i	−0.246508	−	0.383574i
$905$	0.376671	+	0.824795i	0.0125210	+	0.0274171i
$906$	11.2699	−	9.76540i	0.374416	−	0.324434i
$907$	22.8101	−	35.4932i	0.757396	−	1.17853i	−0.221696	−	0.975116i	$-0.571159\pi$
$907$	22.8101	−	35.4932i	0.757396	−	1.17853i	0.979093	−	0.203416i	$-0.0652042\pi$
$908$	0.914357	−	6.35950i	0.0303440	−	0.211047i
$909$	15.5134	+	2.23049i	0.514546	+	0.0739805i
$910$	0.547089	+	1.22864i	0.0181358	+	0.0407291i
$911$	−23.0955	+	20.0124i	−0.765188	+	0.663039i	−0.947339	−	0.320232i	$-0.896239\pi$
$911$	−23.0955	+	20.0124i	−0.765188	+	0.663039i	0.182152	+	0.983270i	$0.441694\pi$
$912$	−4.48778	+	2.04950i	−0.148605	+	0.0678658i
$913$	−8.04057	−	12.5114i	−0.266104	−	0.414066i
$914$	9.11055	−	31.0277i	0.301350	−	1.02630i
$915$	2.17568	+	1.88524i	0.0719257	+	0.0623240i
$916$	8.56524	−	2.51498i	0.283003	−	0.0830973i
$917$	13.2573	−	8.34347i	0.437794	−	0.275526i
$918$	3.21401	−	0.462105i	0.106078	−	0.0152517i
$919$			37.7756i			1.24610i	0.782182	+	0.623051i	$0.214107\pi$
$919$			37.7756i			1.24610i	−0.782182	+	0.623051i	$0.785893\pi$
$920$	−0.541189	+	3.34195i	−0.0178425	+	0.110181i
$921$	21.5287			0.709395
$922$	39.0882	−	5.62004i	1.28730	−	0.185086i
$923$	−10.1667	−	4.64297i	−0.334641	−	0.152825i
$924$	0.293931	−	0.967037i	0.00966963	−	0.0318132i
$925$	9.96956	+	8.63867i	0.327797	+	0.284038i
$926$	−26.4024	−	7.75243i	−0.867635	−	0.254761i
$927$	−13.7803	+	8.85603i	−0.452603	+	0.290870i
$928$	−6.54771	−	14.3375i	−0.214939	−	0.470651i
$929$	−39.2182	+	33.9827i	−1.28671	+	1.11494i	−0.299739	+	0.954021i	$0.596900\pi$
$929$	−39.2182	+	33.9827i	−1.28671	+	1.11494i	−0.986968	+	0.160916i	$0.948555\pi$
$930$	−3.71421	−	2.38698i	−0.121794	−	0.0782721i
$931$	−7.18279	+	1.96197i	−0.235406	+	0.0643009i
$932$	0.0989591	−	0.688276i	0.00324151	−	0.0225452i
$933$	7.00332	+	4.50076i	0.229278	+	0.147348i
$934$	−3.41047	−	3.93589i	−0.111594	−	0.128786i
$935$	−0.520396	+	0.237657i	−0.0170188	+	0.00777221i
$936$	−1.54648	−	2.40637i	−0.0505483	−	0.0786547i
$937$	−23.2771	−	6.83479i	−0.760431	−	0.223283i	−0.121547	−	0.992586i	$-0.538786\pi$
$937$	−23.2771	−	6.83479i	−0.760431	−	0.223283i	−0.638884	+	0.769303i	$0.720604\pi$
$938$	−2.32784	+	0.659616i	−0.0760066	+	0.0215372i
$939$	−3.76057	−	12.8073i	−0.122721	−	0.417951i
$940$	−1.07113	−	0.489167i	−0.0349363	−	0.0159549i
$941$	5.81566	+	40.4488i	0.189585	+	1.31859i	0.833084	+	0.553146i	$0.186573\pi$
$941$	5.81566	+	40.4488i	0.189585	+	1.31859i	−0.643499	+	0.765447i	$0.722518\pi$
$942$			27.9313i			0.910050i
$943$	−15.7913	+	23.6387i	−0.514236	+	0.769784i
$944$		−	14.9205i		−	0.485620i
$945$	0.319292	−	0.681972i	0.0103866	−	0.0221845i
$946$	−4.76505	+	10.4340i	−0.154925	+	0.339239i
$947$	0.927755	−	0.272413i	0.0301480	−	0.00885224i	−0.266624	−	0.963801i	$-0.585908\pi$
$947$	0.927755	−	0.272413i	0.0301480	−	0.00885224i	0.296772	+	0.954948i	$0.404090\pi$
$948$	0.904383	−	1.04371i	0.0293730	−	0.0338982i
$949$	5.14175	+	1.50975i	0.166908	+	0.0490087i
$950$	6.81696	−	4.38099i	0.221171	−	0.142138i
$951$	−28.7220	+	13.1169i	−0.931375	+	0.425345i
$952$	−13.6365	+	1.82890i	−0.441962	+	0.0592749i
$953$	−29.8300	+	46.4163i	−0.966287	+	1.50357i	−0.105618	+	0.994407i	$0.533682\pi$
$953$	−29.8300	+	46.4163i	−0.966287	+	1.50357i	−0.860669	+	0.509165i	$0.829954\pi$
$954$	3.56974	+	0.513251i	0.115575	+	0.0166171i
$955$	2.04107	+	0.293462i	0.0660476	+	0.00949621i
$956$	0.358159	+	0.230175i	0.0115837	+	0.00744438i
$957$	4.45245	+	5.13840i	0.143927	+	0.166101i
$958$	7.85548	+	17.2011i	0.253799	+	0.555742i
$959$	29.1254	+	0.276051i	0.940508	+	0.00891414i
$960$	−0.467822	+	1.59325i	−0.0150989	+	0.0514221i
$961$	45.4022	−	52.3969i	1.46459	−	1.69022i
$962$	−4.59582	+	1.34945i	−0.148175	+	0.0435082i
$963$	1.86329	+	0.850935i	0.0600436	+	0.0274210i
$964$	1.16528	+	8.10472i	0.0375312	+	0.261035i
$965$	−4.99897			−0.160923
$966$	−3.32499	+	19.3674i	−0.106980	+	0.623137i
$967$	34.0795			1.09592			0.547962	−	0.836504i	$-0.315404\pi$
$967$	34.0795			1.09592			0.547962	+	0.836504i	$0.315404\pi$
$968$	3.55837	+	24.7490i	0.114370	+	0.795462i
$969$	2.02866	+	0.926458i	0.0651700	+	0.0297621i
$970$	−3.94974	+	1.15975i	−0.126819	+	0.0372373i
$971$	−23.3834	+	26.9859i	−0.750410	+	0.866019i	−0.994608	−	0.103706i	$-0.966930\pi$
$971$	−23.3834	+	26.9859i	−0.750410	+	0.866019i	0.244198	+	0.969725i	$0.421475\pi$
$972$	0.112261	−	0.382326i	0.00360078	−	0.0122631i
$973$	19.7425	+	0.187119i	0.632915	+	0.00599877i
$974$	9.44214	+	20.6754i	0.302546	+	0.662482i
$975$	3.71500	+	4.28733i	0.118975	+	0.137305i
$976$	−39.4670	−	25.3639i	−1.26331	−	0.811879i
$977$	5.08339	+	0.730882i	0.162632	+	0.0233830i	0.223150	−	0.974784i	$-0.428366\pi$
$977$	5.08339	+	0.730882i	0.162632	+	0.0233830i	−0.0605177	+	0.998167i	$0.519275\pi$
$978$	−9.29377	−	1.33624i	−0.297182	−	0.0427283i
$979$	6.59545	−	10.2627i	0.210791	−	0.327998i
$980$	0.343411	−	0.715743i	0.0109699	−	0.0228636i
$981$	10.5608	−	4.82294i	0.337179	−	0.153985i
$982$	−35.3116	+	22.6934i	−1.12684	+	0.724175i
$983$	51.4597	+	15.1099i	1.64131	+	0.481932i	0.966629	−	0.256180i	$-0.0824639\pi$
$983$	51.4597	+	15.1099i	1.64131	+	0.481932i	0.674679	+	0.738111i	$0.264282\pi$
$984$	−9.62798	+	11.1113i	−0.306929	+	0.354215i
$985$	−2.91349	+	0.855479i	−0.0928316	+	0.0272578i
$986$	−9.56605	+	20.9467i	−0.304645	+	0.667080i
$987$	24.8793	+	11.6482i	0.791918	+	0.370768i
$988$			0.488817i			0.0155513i
$989$	11.0674	−	35.3587i	0.351924	−	1.12434i
$990$			0.422583i			0.0134306i
$991$	3.83725	+	26.6887i	0.121894	+	0.847794i	0.955407	+	0.295293i	$0.0954173\pi$
$991$	3.83725	+	26.6887i	0.121894	+	0.847794i	−0.833512	+	0.552501i	$0.813674\pi$
$992$	20.2502	+	9.24798i	0.642946	+	0.293624i
$993$	1.59704	+	5.43903i	0.0506806	+	0.172602i
$994$	10.8259	+	38.2055i	0.343377	+	1.21181i
$995$	−3.25891	−	0.956901i	−0.103314	−	0.0303358i
$996$	−3.34187	−	5.20005i	−0.105891	−	0.164770i
$997$	−26.6983	+	12.1927i	−0.845545	+	0.386147i	−0.790593	−	0.612342i	$-0.790228\pi$
$997$	−26.6983	+	12.1927i	−0.845545	+	0.386147i	−0.0549517	+	0.998489i	$0.517500\pi$
$998$	24.5151	+	28.2919i	0.776012	+	0.895566i
$999$	2.25605	+	1.44987i	0.0713782	+	0.0458720i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.r.a.181.10	yes	320
7.6	odd	2	inner	483.2.r.a.181.9	✓	320
23.15	odd	22	inner	483.2.r.a.475.9	yes	320
161.153	even	22	inner	483.2.r.a.475.10	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.r.a.181.9	✓	320	7.6	odd	2	inner
483.2.r.a.181.10	yes	320	1.1	even	1	trivial
483.2.r.a.475.9	yes	320	23.15	odd	22	inner
483.2.r.a.475.10	yes	320	161.153	even	22	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:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.r (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.220403 - 1.53294i) q^{2} +(0.909632 + 0.415415i) q^{3} +(-0.382326 + 0.112261i) q^{4} +(0.186382 - 0.215096i) q^{5} +(0.436319 - 1.48597i) q^{6} +(0.0250753 - 2.64563i) q^{7} +(-1.03035 - 2.25615i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\)	\(q+(-0.220403 - 1.53294i) q^{2} +(0.909632 + 0.415415i) q^{3} +(-0.382326 + 0.112261i) q^{4} +(0.186382 - 0.215096i) q^{5} +(0.436319 - 1.48597i) q^{6} +(0.0250753 - 2.64563i) q^{7} +(-1.03035 - 2.25615i) q^{8} +(0.654861 + 0.755750i) q^{9} +(-0.370808 - 0.238304i) q^{10} +(-0.948957 - 0.136439i) q^{11} +(-0.394411 - 0.0567078i) q^{12} +(0.623508 - 0.970197i) q^{13} +(-4.06111 + 0.544666i) q^{14} +(0.258893 - 0.118233i) q^{15} +(-3.90187 + 2.50758i) q^{16} +(2.01171 + 0.590691i) q^{17} +(1.01418 - 1.17043i) q^{18} +(1.02062 - 0.299680i) q^{19} +(-0.0471118 + 0.103160i) q^{20} +(1.12184 - 2.39614i) q^{21} +1.48476i q^{22} +(-0.598181 - 4.75838i) q^{23} -2.48029i q^{24} +(0.700046 + 4.86893i) q^{25} +(-1.62467 - 0.741963i) q^{26} +(0.281733 + 0.959493i) q^{27} +(0.287415 + 1.01431i) q^{28} +(-6.80459 - 1.99801i) q^{29} +(-0.238304 - 0.370808i) q^{30} +(9.11136 - 4.16102i) q^{31} +(1.45544 + 1.67967i) q^{32} +(-0.806523 - 0.518321i) q^{33} +(0.462105 - 3.21401i) q^{34} +(-0.564392 - 0.498492i) q^{35} +(-0.335212 - 0.215428i) q^{36} +(2.02675 - 1.75619i) q^{37} +(-0.684336 - 1.49849i) q^{38} +(0.970197 - 0.623508i) q^{39} +(-0.677329 - 0.198882i) q^{40} +(-4.47983 - 3.88179i) q^{41} +(-3.92038 - 1.19160i) q^{42} +(7.02739 + 3.20930i) q^{43} +(0.378128 - 0.0543666i) q^{44} +0.284613 q^{45} +(-7.16245 + 1.96573i) q^{46} +10.3831i q^{47} +(-4.59095 + 0.660079i) q^{48} +(-6.99874 - 0.132680i) q^{49} +(7.30946 - 2.14625i) q^{50} +(1.58453 + 1.37300i) q^{51} +(-0.129468 + 0.440928i) q^{52} +(1.25899 + 1.95902i) q^{53} +(1.40875 - 0.643353i) q^{54} +(-0.206216 + 0.178687i) q^{55} +(-5.99479 + 2.66935i) q^{56} +(1.05288 + 0.151381i) q^{57} +(-1.56307 + 10.8714i) q^{58} +(-1.73918 + 2.70622i) q^{59} +(-0.0857088 + 0.0742671i) q^{60} +(4.20188 + 9.20084i) q^{61} +(-8.38674 - 13.0500i) q^{62} +(2.01586 - 1.71357i) q^{63} +(-3.82065 + 4.40927i) q^{64} +(-0.0924751 - 0.314941i) q^{65} +(-0.616792 + 1.35059i) q^{66} +(0.584473 - 0.0840345i) q^{67} -0.835441 q^{68} +(1.43258 - 4.57687i) q^{69} +(-0.639762 + 0.975045i) q^{70} +(-1.37921 - 9.59264i) q^{71} +(1.03035 - 2.25615i) q^{72} +(1.30910 + 4.45839i) q^{73} +(-3.13882 - 2.71980i) q^{74} +(-1.38584 + 4.71974i) q^{75} +(-0.356566 + 0.229151i) q^{76} +(-0.384764 + 2.50717i) q^{77} +(-1.16963 - 1.34983i) q^{78} +(-1.87378 + 2.91566i) q^{79} +(-0.187867 + 1.30664i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(-4.96317 + 7.72285i) q^{82} +(10.1587 + 11.7237i) q^{83} +(-0.159918 + 1.04205i) q^{84} +(0.502002 - 0.322617i) q^{85} +(3.37080 - 11.4799i) q^{86} +(-5.35967 - 4.64418i) q^{87} +(0.669930 + 2.28157i) q^{88} +(-5.28601 + 11.5747i) q^{89} +(-0.0627295 - 0.436293i) q^{90} +(-2.55115 - 1.67390i) q^{91} +(0.762882 + 1.75210i) q^{92} +10.0165 q^{93} +(15.9166 - 2.28847i) q^{94} +(0.125764 - 0.275386i) q^{95} +(0.626158 + 2.13250i) q^{96} +(6.11581 - 7.05802i) q^{97} +(1.33915 + 10.7579i) q^{98} +(-0.518321 - 0.806523i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) 320 * q + 4 * q^2 - 36 * q^4 + 12 * q^8 + 32 * q^9	\( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) 320 * q + 4 * q^2 - 36 * q^4 + 12 * q^8 + 32 * q^9 - 4 * q^18 + 52 * q^23 - 68 * q^25 - 88 * q^28 + 24 * q^32 + 28 * q^35 + 14 * q^36 - 44 * q^37 + 110 * q^42 - 44 * q^43 - 154 * q^44 + 40 * q^46 - 16 * q^49 - 166 * q^50 - 44 * q^51 + 110 * q^56 - 44 * q^57 - 62 * q^58 - 84 * q^64 + 72 * q^70 - 40 * q^71 - 12 * q^72 + 22 * q^74 + 72 * q^77 - 8 * q^78 - 88 * q^79 - 32 * q^81 - 304 * q^85 + 330 * q^88 - 412 * q^92 + 24 * q^93 + 148 * q^95 - 60 * q^98 + 44 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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