LMFDB - Embedded newform 192.2.r.a.157.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [192,2,Mod(13,192)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(192, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([0, 15, 0]))

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

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

chi := DirichletCharacter("192.13");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 192 = 2^{6} \cdot 3 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	192.r (of order $16$, degree $8$, 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:	$1.53312771881$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$16$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			157.4
Character	$\chi$	$=$	192.157
Dual form			192.2.r.a.181.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.968996 - 1.03007i) q^{2} +(-0.980785 - 0.195090i) q^{3} +(-0.122095 + 1.99627i) q^{4} +(-0.0578655 + 0.0866018i) q^{5} +(0.749420 + 1.19932i) q^{6} +(2.40918 - 0.997914i) q^{7} +(2.17461 - 1.80861i) q^{8} +(0.923880 + 0.382683i) q^{9} +O(q^{10})$	\(q+(-0.968996 - 1.03007i) q^{2} +(-0.980785 - 0.195090i) q^{3} +(-0.122095 + 1.99627i) q^{4} +(-0.0578655 + 0.0866018i) q^{5} +(0.749420 + 1.19932i) q^{6} +(2.40918 - 0.997914i) q^{7} +(2.17461 - 1.80861i) q^{8} +(0.923880 + 0.382683i) q^{9} +(0.145277 - 0.0243112i) q^{10} +(-1.19134 - 5.98928i) q^{11} +(0.509201 - 1.93409i) q^{12} +(-0.590429 - 0.883640i) q^{13} +(-3.36241 - 1.51465i) q^{14} +(0.0736488 - 0.0736488i) q^{15} +(-3.97019 - 0.487467i) q^{16} +(0.156557 + 0.156557i) q^{17} +(-0.501044 - 1.32248i) q^{18} +(3.11498 - 2.08136i) q^{19} +(-0.165815 - 0.126089i) q^{20} +(-2.55757 + 0.508732i) q^{21} +(-5.01498 + 7.03075i) q^{22} +(0.522992 - 1.26261i) q^{23} +(-2.48567 + 1.34961i) q^{24} +(1.90927 + 4.60938i) q^{25} +(-0.338089 + 1.46443i) q^{26} +(-0.831470 - 0.555570i) q^{27} +(1.69796 + 4.93121i) q^{28} +(1.10294 - 5.54486i) q^{29} +(-0.147229 - 0.00449815i) q^{30} -7.51090i q^{31} +(3.34497 + 4.56193i) q^{32} +6.10661i q^{33} +(0.00956183 - 0.312967i) q^{34} +(-0.0529870 + 0.266384i) q^{35} +(-0.876740 + 1.79759i) q^{36} +(6.15643 + 4.11359i) q^{37} +(-5.16235 - 1.19182i) q^{38} +(0.406695 + 0.981848i) q^{39} +(0.0307941 + 0.292981i) q^{40} +(-1.10300 + 2.66288i) q^{41} +(3.00230 + 2.14152i) q^{42} +(-6.90045 + 1.37259i) q^{43} +(12.1017 - 1.64698i) q^{44} +(-0.0866018 + 0.0578655i) q^{45} +(-1.80736 + 0.684749i) q^{46} +(8.09343 + 8.09343i) q^{47} +(3.79880 + 1.25265i) q^{48} +(-0.141442 + 0.141442i) q^{49} +(2.89792 - 6.43314i) q^{50} +(-0.123006 - 0.184091i) q^{51} +(1.83607 - 1.07077i) q^{52} +(0.714576 + 3.59242i) q^{53} +(0.233413 + 1.39482i) q^{54} +(0.587620 + 0.243400i) q^{55} +(3.43418 - 6.52734i) q^{56} +(-3.46118 + 1.43367i) q^{57} +(-6.78035 + 4.23684i) q^{58} +(-6.55240 + 9.80637i) q^{59} +(0.138031 + 0.156015i) q^{60} +(-2.79372 - 0.555706i) q^{61} +(-7.73677 + 7.27803i) q^{62} +2.60768 q^{63} +(1.45785 - 7.86604i) q^{64} +0.110690 q^{65} +(6.29025 - 5.91728i) q^{66} +(0.861590 + 0.171381i) q^{67} +(-0.331644 + 0.293415i) q^{68} +(-0.759267 + 1.13632i) q^{69} +(0.325739 - 0.203544i) q^{70} +(-7.68026 + 3.18127i) q^{71} +(2.70120 - 0.838751i) q^{72} +(-5.79305 - 2.39956i) q^{73} +(-1.72826 - 10.3276i) q^{74} +(-0.973335 - 4.89329i) q^{75} +(3.77464 + 6.47246i) q^{76} +(-8.84694 - 13.2404i) q^{77} +(0.617288 - 1.37033i) q^{78} +(12.1997 - 12.1997i) q^{79} +(0.271952 - 0.315618i) q^{80} +(0.707107 + 0.707107i) q^{81} +(3.81176 - 1.44415i) q^{82} +(-7.21688 + 4.82216i) q^{83} +(-0.703301 - 5.16771i) q^{84} +(-0.0226173 + 0.00449886i) q^{85} +(8.10037 + 5.77793i) q^{86} +(-2.16350 + 5.22315i) q^{87} +(-13.4230 - 10.8697i) q^{88} +(3.71504 + 8.96891i) q^{89} +(0.143522 + 0.0331346i) q^{90} +(-2.30425 - 1.53965i) q^{91} +(2.45667 + 1.19819i) q^{92} +(-1.46530 + 7.36658i) q^{93} +(0.494313 - 16.1793i) q^{94} +0.390202i q^{95} +(-2.39071 - 5.12684i) q^{96} +4.45536i q^{97} +(0.282751 + 0.00863866i) q^{98} +(1.19134 - 5.98928i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q+O(q^{10}) $ 128 * q	$ 128 q - 16 q^{22} - 80 q^{26} - 80 q^{28} - 80 q^{32} - 80 q^{34} - 80 q^{38} - 80 q^{40} - 16 q^{44} + 48 q^{50} - 32 q^{51} + 48 q^{52} + 16 q^{54} - 64 q^{55} + 112 q^{56} - 128 q^{59} + 96 q^{60} + 96 q^{62} - 32 q^{63} + 96 q^{64} + 96 q^{66} - 32 q^{67} + 96 q^{68} + 96 q^{70} - 128 q^{71} + 112 q^{74} - 64 q^{75} + 16 q^{76} + 48 q^{78} - 32 q^{79} + 48 q^{80} - 80 q^{82} - 80 q^{88} - 96 q^{94}+O(q^{100}) $ 128 * q - 16 * q^22 - 80 * q^26 - 80 * q^28 - 80 * q^32 - 80 * q^34 - 80 * q^38 - 80 * q^40 - 16 * q^44 + 48 * q^50 - 32 * q^51 + 48 * q^52 + 16 * q^54 - 64 * q^55 + 112 * q^56 - 128 * q^59 + 96 * q^60 + 96 * q^62 - 32 * q^63 + 96 * q^64 + 96 * q^66 - 32 * q^67 + 96 * q^68 + 96 * q^70 - 128 * q^71 + 112 * q^74 - 64 * q^75 + 16 * q^76 + 48 * q^78 - 32 * q^79 + 48 * q^80 - 80 * q^82 - 80 * q^88 - 96 * q^94

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$1$	$1$	$e\left(\frac{11}{16}\right)$

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 $

$2$	−0.968996	−	1.03007i	−0.685183	−	0.728371i
$2$	−0.968996	−	1.03007i	−0.685183	−	0.728371i
$3$	−0.980785	−	0.195090i	−0.566257	−	0.112635i
$3$	−0.980785	−	0.195090i	−0.566257	−	0.112635i
$4$	−0.122095	+	1.99627i	−0.0610473	+	0.998135i
$5$	−0.0578655	+	0.0866018i	−0.0258782	+	0.0387295i	−0.844183	−	0.536055i	$-0.819914\pi$
$5$	−0.0578655	+	0.0866018i	−0.0258782	+	0.0387295i	0.818305	+	0.574784i	$0.194914\pi$
$6$	0.749420	+	1.19932i	0.305949	+	0.489621i
$7$	2.40918	−	0.997914i	0.910584	−	0.377176i	0.122304	−	0.992493i	$-0.460972\pi$
$7$	2.40918	−	0.997914i	0.910584	−	0.377176i	0.788280	+	0.615317i	$0.210972\pi$
$8$	2.17461	−	1.80861i	0.768841	−	0.639440i
$9$	0.923880	+	0.382683i	0.307960	+	0.127561i
$10$	0.145277	−	0.0243112i	0.0459407	−	0.00768787i
$11$	−1.19134	−	5.98928i	−0.359203	−	1.80584i	−0.562589	−	0.826737i	$-0.690195\pi$
$11$	−1.19134	−	5.98928i	−0.359203	−	1.80584i	0.203386	−	0.979099i	$-0.434805\pi$
$12$	0.509201	−	1.93409i	0.146994	−	0.558324i
$13$	−0.590429	−	0.883640i	−0.163756	−	0.245078i	0.740513	−	0.672042i	$-0.234583\pi$
$13$	−0.590429	−	0.883640i	−0.163756	−	0.245078i	−0.904268	+	0.426965i	$0.859583\pi$
$14$	−3.36241	−	1.51465i	−0.898641	−	0.404808i
$15$	0.0736488	−	0.0736488i	0.0190160	−	0.0190160i
$16$	−3.97019	−	0.487467i	−0.992546	−	0.121867i
$17$	0.156557	+	0.156557i	0.0379706	+	0.0379706i	0.725837	−	0.687867i	$-0.241453\pi$
$17$	0.156557	+	0.156557i	0.0379706	+	0.0379706i	−0.687867	+	0.725837i	$0.741453\pi$
$18$	−0.501044	−	1.32248i	−0.118097	−	0.311712i
$19$	3.11498	−	2.08136i	0.714625	−	0.477497i	−0.144342	−	0.989528i	$-0.546107\pi$
$19$	3.11498	−	2.08136i	0.714625	−	0.477497i	0.858967	+	0.512031i	$0.171107\pi$
$20$	−0.165815	−	0.126089i	−0.0370775	−	0.0281943i
$21$	−2.55757	+	0.508732i	−0.558107	+	0.111014i
$22$	−5.01498	+	7.03075i	−1.06920	+	1.49896i
$23$	0.522992	−	1.26261i	0.109051	−	0.263273i	−0.859928	−	0.510416i	$-0.829492\pi$
$23$	0.522992	−	1.26261i	0.109051	−	0.263273i	0.968979	+	0.247142i	$0.0794915\pi$
$24$	−2.48567	+	1.34961i	−0.507385	+	0.275489i
$25$	1.90927	+	4.60938i	0.381853	+	0.921875i
$26$	−0.338089	+	1.46443i	−0.0663047	+	0.287198i
$27$	−0.831470	−	0.555570i	−0.160016	−	0.106920i
$28$	1.69796	+	4.93121i	0.320884	+	0.931911i
$29$	1.10294	−	5.54486i	0.204811	−	1.02965i	−0.732395	−	0.680880i	$-0.761598\pi$
$29$	1.10294	−	5.54486i	0.204811	−	1.02965i	0.937206	−	0.348775i	$-0.113402\pi$
$30$	−0.147229	−	0.00449815i	−0.0268802	−	0.000821247i
$31$		−	7.51090i		−	1.34900i	−0.738276	−	0.674499i	$-0.764360\pi$
$31$		−	7.51090i		−	1.34900i	0.738276	−	0.674499i	$-0.235640\pi$
$32$	3.34497	+	4.56193i	0.591312	+	0.806443i
$33$			6.10661i			1.06303i
$34$	0.00956183	−	0.312967i	0.00163984	−	0.0536735i
$35$	−0.0529870	+	0.266384i	−0.00895644	+	0.0450271i
$36$	−0.876740	+	1.79759i	−0.146123	+	0.299598i
$37$	6.15643	+	4.11359i	1.01211	+	0.676271i	0.946876	−	0.321599i	$-0.104220\pi$
$37$	6.15643	+	4.11359i	1.01211	+	0.676271i	0.0652347	+	0.997870i	$0.479220\pi$
$38$	−5.16235	−	1.19182i	−0.837444	−	0.193339i
$39$	0.406695	+	0.981848i	0.0651233	+	0.157222i
$40$	0.0307941	+	0.292981i	0.00486898	+	0.0463244i
$41$	−1.10300	+	2.66288i	−0.172260	+	0.415872i	−0.986305	−	0.164929i	$-0.947260\pi$
$41$	−1.10300	+	2.66288i	−0.172260	+	0.415872i	0.814046	+	0.580801i	$0.197260\pi$
$42$	3.00230	+	2.14152i	0.463266	+	0.330444i
$43$	−6.90045	+	1.37259i	−1.05231	+	0.209317i	−0.690796	−	0.723050i	$-0.742740\pi$
$43$	−6.90045	+	1.37259i	−1.05231	+	0.209317i	−0.361513	+	0.932367i	$0.617740\pi$
$44$	12.1017	−	1.64698i	1.82440	−	0.248292i
$45$	−0.0866018	+	0.0578655i	−0.0129098	+	0.00862607i
$46$	−1.80736	+	0.684749i	−0.266481	+	0.100961i
$47$	8.09343	+	8.09343i	1.18055	+	1.18055i	0.979602	+	0.200946i	$0.0644015\pi$
$47$	8.09343	+	8.09343i	1.18055	+	1.18055i	0.200946	+	0.979602i	$0.435598\pi$
$48$	3.79880	+	1.25265i	0.548309	+	0.180804i
$49$	−0.141442	+	0.141442i	−0.0202060	+	0.0202060i
$50$	2.89792	−	6.43314i	0.409827	−	0.909784i
$51$	−0.123006	−	0.184091i	−0.0172243	−	0.0257779i
$52$	1.83607	−	1.07077i	0.254617	−	0.148489i
$53$	0.714576	+	3.59242i	0.0981546	+	0.493456i	0.998322	+	0.0579118i	$0.0184442\pi$
$53$	0.714576	+	3.59242i	0.0981546	+	0.493456i	−0.900167	+	0.435545i	$0.856556\pi$
$54$	0.233413	+	1.39482i	0.0317635	+	0.189811i
$55$	0.587620	+	0.243400i	0.0792346	+	0.0328201i
$56$	3.43418	−	6.52734i	0.458912	−	0.872252i
$57$	−3.46118	+	1.43367i	−0.458444	+	0.189894i
$58$	−6.78035	+	4.23684i	−0.890303	+	0.556324i
$59$	−6.55240	+	9.80637i	−0.853050	+	1.27668i	0.106263	+	0.994338i	$0.466111\pi$
$59$	−6.55240	+	9.80637i	−0.853050	+	1.27668i	−0.959314	+	0.282342i	$0.908889\pi$
$60$	0.138031	+	0.156015i	0.0178197	+	0.0201414i
$61$	−2.79372	−	0.555706i	−0.357699	−	0.0711508i	0.0129695	−	0.999916i	$-0.495872\pi$
$61$	−2.79372	−	0.555706i	−0.357699	−	0.0711508i	−0.370669	+	0.928765i	$0.620872\pi$
$62$	−7.73677	+	7.27803i	−0.982570	+	0.924311i
$63$	2.60768			0.328536
$64$	1.45785	−	7.86604i	0.182232	−	0.983256i
$65$	0.110690			0.0137294
$66$	6.29025	−	5.91728i	0.774276	−	0.728367i
$67$	0.861590	+	0.171381i	0.105260	+	0.0209375i	0.247439	−	0.968903i	$-0.420411\pi$
$67$	0.861590	+	0.171381i	0.105260	+	0.0209375i	−0.142179	+	0.989841i	$0.545411\pi$
$68$	−0.331644	+	0.293415i	−0.0402178	+	0.0355818i
$69$	−0.759267	+	1.13632i	−0.0914050	+	0.136797i
$70$	0.325739	−	0.203544i	0.0389332	−	0.0243282i
$71$	−7.68026	+	3.18127i	−0.911480	+	0.377547i	−0.788623	−	0.614877i	$-0.789206\pi$
$71$	−7.68026	+	3.18127i	−0.911480	+	0.377547i	−0.122857	+	0.992424i	$0.539206\pi$
$72$	2.70120	−	0.838751i	0.318340	−	0.0988478i
$73$	−5.79305	−	2.39956i	−0.678025	−	0.280847i	0.0169762	−	0.999856i	$-0.494596\pi$
$73$	−5.79305	−	2.39956i	−0.678025	−	0.280847i	−0.695001	+	0.719009i	$0.744596\pi$
$74$	−1.72826	−	10.3276i	−0.200906	−	1.20056i
$75$	−0.973335	−	4.89329i	−0.112391	−	0.565028i
$76$	3.77464	+	6.47246i	0.432981	+	0.742442i
$77$	−8.84694	−	13.2404i	−1.00820	−	1.50888i
$78$	0.617288	−	1.37033i	0.0698941	−	0.155159i
$79$	12.1997	−	12.1997i	1.37258	−	1.37258i	0.515972	−	0.856606i	$-0.327431\pi$
$79$	12.1997	−	12.1997i	1.37258	−	1.37258i	0.856606	−	0.515972i	$-0.172569\pi$
$80$	0.271952	−	0.315618i	0.0304052	−	0.0352871i
$81$	0.707107	+	0.707107i	0.0785674	+	0.0785674i
$82$	3.81176	−	1.44415i	0.420938	−	0.159479i
$83$	−7.21688	+	4.82216i	−0.792155	+	0.529301i	−0.884563	−	0.466420i	$-0.845544\pi$
$83$	−7.21688	+	4.82216i	−0.792155	+	0.529301i	0.0924083	+	0.995721i	$0.470544\pi$
$84$	−0.703301	−	5.16771i	−0.0767365	−	0.563844i
$85$	−0.0226173	+	0.00449886i	−0.00245319	+	0.000487970i
$86$	8.10037	+	5.77793i	0.873485	+	0.623050i
$87$	−2.16350	+	5.22315i	−0.231951	+	0.559980i
$88$	−13.4230	−	10.8697i	−1.43089	−	1.15871i
$89$	3.71504	+	8.96891i	0.393794	+	0.950703i	0.989106	+	0.147208i	$0.0470286\pi$
$89$	3.71504	+	8.96891i	0.393794	+	0.950703i	−0.595312	+	0.803495i	$0.702971\pi$
$90$	0.143522	+	0.0331346i	0.0151286	+	0.00349270i
$91$	−2.30425	−	1.53965i	−0.241551	−	0.161399i
$92$	2.45667	+	1.19819i	0.256125	+	0.124920i
$93$	−1.46530	+	7.36658i	−0.151945	+	0.763879i
$94$	0.494313	−	16.1793i	0.0509844	−	1.66877i
$95$			0.390202i			0.0400338i
$96$	−2.39071	−	5.12684i	−0.244000	−	0.523256i
$97$			4.45536i			0.452373i	0.974084	+	0.226187i	$0.0726259\pi$
$97$			4.45536i			0.452373i	−0.974084	+	0.226187i	$0.927374\pi$
$98$	0.282751	+	0.00863866i	0.0285622	+	0.000872637i
$99$	1.19134	−	5.98928i	0.119734	−	0.601945i
$100$	−9.43467	+	3.24863i	−0.943467	+	0.324863i
$101$	−3.41655	−	2.28287i	−0.339960	−	0.227154i	0.373857	−	0.927486i	$-0.378035\pi$
$101$	−3.41655	−	2.28287i	−0.339960	−	0.227154i	−0.713817	+	0.700332i	$0.753035\pi$
$102$	−0.0704350	+	0.305088i	−0.00697411	+	0.0302083i
$103$	2.17448	+	5.24967i	0.214258	+	0.517265i	0.994069	−	0.108750i	$-0.0346848\pi$
$103$	2.17448	+	5.24967i	0.214258	+	0.517265i	−0.779811	+	0.626015i	$0.784685\pi$
$104$	−2.88211	−	0.853715i	−0.282614	−	0.0837136i
$105$	0.103938	−	0.250928i	0.0101433	−	0.0244881i
$106$	3.00803	−	4.21710i	0.292165	−	0.409601i
$107$	−11.2525	+	2.23826i	−1.08782	+	0.216380i	−0.706251	−	0.707961i	$-0.749615\pi$
$107$	−11.2525	+	2.23826i	−1.08782	+	0.216380i	−0.381566	+	0.924342i	$0.624615\pi$
$108$	1.21059	−	1.59201i	0.116489	−	0.153191i
$109$	16.1319	−	10.7790i	1.54516	−	1.03244i	0.567216	−	0.823569i	$-0.308020\pi$
$109$	16.1319	−	10.7790i	1.54516	−	1.03244i	0.977943	−	0.208873i	$-0.0669796\pi$
$110$	−0.318681	−	0.841144i	−0.0303851	−	0.0801999i
$111$	−5.23561	−	5.23561i	−0.496942	−	0.496942i
$112$	−10.0513	+	2.78751i	−0.949762	+	0.263395i
$113$	9.58614	−	9.58614i	0.901788	−	0.901788i	−0.0938024	−	0.995591i	$-0.529902\pi$
$113$	9.58614	−	9.58614i	0.901788	−	0.901788i	0.995591	+	0.0938024i	$0.0299022\pi$
$114$	4.83065	+	2.17604i	0.452432	+	0.203805i
$115$	0.0790815	+	0.118354i	0.00737439	+	0.0110366i
$116$	10.9344	+	2.87877i	1.01523	+	0.267287i
$117$	−0.207331	−	1.04232i	−0.0191678	−	0.0963629i
$118$	16.4505	−	2.75288i	1.51439	−	0.253423i
$119$	0.533403	+	0.220943i	0.0488970	+	0.0202538i
$120$	0.0269554	−	0.293359i	0.00246068	−	0.0267799i
$121$	−24.2895	+	10.0610i	−2.20813	+	0.914639i
$122$	2.13469	+	3.41621i	0.193266	+	0.309289i
$123$	1.60131	−	2.39653i	0.144385	−	0.216087i
$124$	14.9938	+	0.917040i	1.34648	+	0.0823527i
$125$	−1.02043	−	0.202976i	−0.0912700	−	0.0181547i
$126$	−2.52683	−	2.68609i	−0.225108	−	0.239296i
$127$	−6.14421			−0.545211			−0.272605	−	0.962126i	$-0.587885\pi$
$127$	−6.14421			−0.545211			−0.272605	+	0.962126i	$0.587885\pi$
$128$	−9.51524	+	6.12047i	−0.841037	+	0.540978i
$129$	7.03564			0.619454
$130$	−0.107258	−	0.114019i	−0.00940718	−	0.0100001i
$131$	21.8598	+	4.34818i	1.90990	+	0.379902i	0.999432	−	0.0336880i	$-0.0107253\pi$
$131$	21.8598	+	4.34818i	1.90990	+	0.379902i	0.910463	+	0.413590i	$0.135725\pi$
$132$	−12.1905	−	0.745585i	−1.06104	−	0.0648948i
$133$	5.42752	−	8.12285i	0.470625	−	0.704341i
$134$	−0.658342	−	1.05357i	−0.0568721	−	0.0910143i
$135$	0.0962267	−	0.0398584i	0.00828188	−	0.00343047i
$136$	0.623600	+	0.0572996i	0.0534733	+	0.00491340i
$137$	1.03505	+	0.428733i	0.0884306	+	0.0366292i	0.426460	−	0.904506i	$-0.359760\pi$
$137$	1.03505	+	0.428733i	0.0884306	+	0.0366292i	−0.338030	+	0.941135i	$0.609760\pi$
$138$	1.90622	−	0.318993i	0.162268	−	0.0271545i
$139$	0.0859774	+	0.432238i	0.00729251	+	0.0366619i	0.984260	−	0.176725i	$-0.0565504\pi$
$139$	0.0859774	+	0.432238i	0.00729251	+	0.0366619i	−0.976968	+	0.213387i	$0.931550\pi$
$140$	−0.525305	−	0.138300i	−0.0443963	−	0.0116885i
$141$	−6.35897	−	9.51687i	−0.535522	−	0.801465i
$142$	10.7191	+	4.82858i	0.899525	+	0.405206i
$143$	−4.58896	+	4.58896i	−0.383748	+	0.383748i
$144$	−3.48143	−	1.96969i	−0.290119	−	0.164140i
$145$	0.416373	+	0.416373i	0.0345779	+	0.0345779i
$146$	3.14172	+	8.29241i	0.260011	+	0.686285i
$147$	0.166318	−	0.111130i	0.0137177	−	0.00916585i
$148$	−8.96351	+	11.7876i	−0.736796	+	0.968938i
$149$	−1.73812	+	0.345733i	−0.142392	+	0.0283235i	−0.265772	−	0.964036i	$-0.585627\pi$
$149$	−1.73812	+	0.345733i	−0.142392	+	0.0283235i	0.123380	+	0.992360i	$0.460627\pi$
$150$	−4.09728	+	5.74418i	−0.334541	+	0.469010i
$151$	3.30725	−	7.98442i	0.269140	−	0.649763i	−0.730303	−	0.683123i	$-0.760621\pi$
$151$	3.30725	−	7.98442i	0.269140	−	0.649763i	0.999443	+	0.0333609i	$0.0106211\pi$
$152$	3.00949	−	10.1599i	0.244102	−	0.824080i
$153$	0.0847279	+	0.204551i	0.00684984	+	0.0165370i
$154$	−5.06589	+	21.9429i	−0.408221	+	1.76821i
$155$	0.650457	+	0.434622i	0.0522460	+	0.0349097i
$156$	−2.00969	+	0.691994i	−0.160904	+	0.0554039i
$157$	−1.93611	+	9.73350i	−0.154519	+	0.776817i	0.823340	+	0.567549i	$0.192108\pi$
$157$	−1.93611	+	9.73350i	−0.154519	+	0.776817i	−0.977858	+	0.209268i	$0.932892\pi$
$158$	−24.3881	−	0.745108i	−1.94021	−	0.0592776i
$159$		−	3.66280i		−	0.290479i
$160$	−0.588629	+	0.0257019i	−0.0465352	+	0.00203192i
$161$		−	3.56377i		−	0.280864i
$162$	0.0431871	−	1.41355i	0.00339310	−	0.111059i
$163$	−3.84061	+	19.3080i	−0.300819	+	1.51232i	0.474219	+	0.880407i	$0.342731\pi$
$163$	−3.84061	+	19.3080i	−0.300819	+	1.51232i	−0.775038	+	0.631915i	$0.782269\pi$
$164$	−5.18115	−	2.52701i	−0.404580	−	0.197326i
$165$	−0.528844	−	0.353362i	−0.0411704	−	0.0275092i
$166$	11.9603	+	2.76124i	0.928299	+	0.214314i
$167$	7.56540	+	18.2645i	0.585429	+	1.41335i	0.887831	+	0.460169i	$0.152211\pi$
$167$	7.56540	+	18.2645i	0.585429	+	1.41335i	−0.302403	+	0.953180i	$0.597789\pi$
$168$	−4.64162	+	5.73194i	−0.358109	+	0.442229i
$169$	4.54267	−	10.9670i	0.349436	−	0.843614i
$170$	0.0265502	+	0.0189381i	0.00203631	+	0.00145248i
$171$	3.67437	−	0.730877i	0.280986	−	0.0558916i
$172$	−1.89754	−	13.9427i	−0.144686	−	1.06312i
$173$	12.4109	−	8.29271i	0.943584	−	0.630483i	0.0143196	−	0.999897i	$-0.495442\pi$
$173$	12.4109	−	8.29271i	0.943584	−	0.630483i	0.929265	+	0.369415i	$0.120442\pi$
$174$	7.47663	−	2.83265i	0.566802	−	0.214742i
$175$	9.19952	+	9.19952i	0.695418	+	0.695418i
$176$	1.81027	+	24.3593i	0.136454	+	1.83615i
$177$	8.33963	−	8.33963i	0.626845	−	0.626845i
$178$	5.63876	−	12.5176i	0.422643	−	0.938234i
$179$	5.05720	+	7.56864i	0.377993	+	0.565707i	0.970876	−	0.239582i	$-0.0770104\pi$
$179$	5.05720	+	7.56864i	0.377993	+	0.565707i	−0.592883	+	0.805289i	$0.702010\pi$
$180$	−0.104941	−	0.179946i	−0.00782187	−	0.0134124i
$181$	0.588792	+	2.96005i	0.0437645	+	0.220019i	0.996478	−	0.0838497i	$-0.0267215\pi$
$181$	0.588792	+	2.96005i	0.0437645	+	0.220019i	−0.952714	+	0.303869i	$0.901722\pi$
$182$	0.646857	+	3.86545i	0.0479482	+	0.286526i
$183$	2.63163	+	1.09006i	0.194536	+	0.0805793i
$184$	−1.14627	−	3.69158i	−0.0845045	−	0.272147i
$185$	−0.712489	+	0.295123i	−0.0523832	+	0.0216978i
$186$	9.00798	−	5.62882i	0.660497	−	0.412725i
$187$	0.751149	−	1.12417i	0.0549295	−	0.0822078i
$188$	−17.1448	+	15.1685i	−1.25042	+	1.10628i
$189$	−2.55757	−	0.508732i	−0.186036	−	0.0370048i
$190$	0.401936	−	0.378104i	0.0291595	−	0.0274305i
$191$	−1.48629			−0.107544			−0.0537722	−	0.998553i	$-0.517124\pi$
$191$	−1.48629			−0.107544			−0.0537722	+	0.998553i	$0.517124\pi$
$192$	−2.96443	+	7.43049i	−0.213939	+	0.536249i
$193$	10.6608			0.767383			0.383691	−	0.923461i	$-0.374653\pi$
$193$	10.6608			0.767383			0.383691	+	0.923461i	$0.374653\pi$
$194$	4.58934	−	4.31723i	0.329495	−	0.309959i
$195$	−0.108563	−	0.0215946i	−0.00777438	−	0.00154642i
$196$	−0.265087	−	0.299625i	−0.0189348	−	0.0214018i
$197$	−4.94545	+	7.40139i	−0.352349	+	0.527327i	−0.964732	−	0.263234i	$-0.915211\pi$
$197$	−4.94545	+	7.40139i	−0.352349	+	0.527327i	0.612383	+	0.790561i	$0.290211\pi$
$198$	−7.32379	+	4.57642i	−0.520479	+	0.325232i
$199$	−11.6882	+	4.84143i	−0.828558	+	0.343200i	−0.756332	−	0.654188i	$-0.773010\pi$
$199$	−11.6882	+	4.84143i	−0.828558	+	0.343200i	−0.0722261	+	0.997388i	$0.523010\pi$
$200$	12.4885	+	6.57047i	0.883068	+	0.464603i
$201$	−0.811600	−	0.336176i	−0.0572458	−	0.0237120i
$202$	0.959109	+	5.73139i	0.0674827	+	0.403259i
$203$	−2.87611	−	14.4592i	−0.201864	−	1.01484i
$204$	0.382514	−	0.223076i	0.0267813	−	0.0156185i
$205$	−0.166784	−	0.249610i	−0.0116487	−	0.0174335i
$206$	3.30047	−	7.32678i	0.229954	−	0.510481i
$207$	0.966364	−	0.966364i	0.0671669	−	0.0671669i
$208$	1.91337	+	3.79603i	0.132668	+	0.263207i
$209$	−16.1769	−	16.1769i	−1.11898	−	1.11898i
$210$	−0.359189	+	0.136085i	−0.0247864	+	0.00939075i
$211$	−22.1280	+	14.7855i	−1.52336	+	1.01787i	−0.538873	+	0.842387i	$0.681150\pi$
$211$	−22.1280	+	14.7855i	−1.52336	+	1.01787i	−0.984482	+	0.175487i	$0.943850\pi$
$212$	−7.25868	+	0.987872i	−0.498528	+	0.0678473i
$213$	8.15332	−	1.62180i	0.558657	−	0.111124i
$214$	13.2092	+	9.42199i	0.902960	+	0.644074i
$215$	0.280429	−	0.677017i	0.0191251	−	0.0461721i
$216$	−2.81293	+	0.295656i	−0.191396	+	0.0201169i
$217$	−7.49523	−	18.0951i	−0.508810	−	1.22838i
$218$	−26.7349	−	6.17223i	−1.81072	−	0.418036i
$219$	5.21360	+	3.48362i	0.352303	+	0.235401i
$220$	−0.557637	+	1.14333i	−0.0375959	+	0.0770833i
$221$	0.0459041	−	0.230775i	0.00308784	−	0.0155236i
$222$	−0.319769	+	10.4663i	−0.0214615	+	0.702455i
$223$		−	26.5529i		−	1.77811i	−0.457798	−	0.889056i	$-0.651362\pi$
$223$		−	26.5529i		−	1.77811i	0.457798	−	0.889056i	$-0.348638\pi$
$224$	12.6110	+	7.65251i	0.842610	+	0.511305i
$225$			4.98915i			0.332610i
$226$	−19.1633	−	0.585481i	−1.27473	−	0.0389456i
$227$	3.29351	−	16.5576i	0.218598	−	1.09896i	−0.703111	−	0.711081i	$-0.748206\pi$
$227$	3.29351	−	16.5576i	0.218598	−	1.09896i	0.921708	−	0.387884i	$-0.126794\pi$
$228$	−2.43940	−	7.08449i	−0.161553	−	0.469182i
$229$	16.5164	+	11.0359i	1.09143	+	0.729271i	0.964881	−	0.262689i	$-0.0846093\pi$
$229$	16.5164	+	11.0359i	1.09143	+	0.729271i	0.126551	+	0.991960i	$0.459609\pi$
$230$	0.0452833	−	0.196144i	0.00298589	−	0.0129333i
$231$	6.09388	+	14.7119i	0.400948	+	0.967973i
$232$	−7.63003	−	14.0527i	−0.500936	−	0.922605i
$233$	5.87995	−	14.1954i	0.385208	−	0.929975i	−0.605732	−	0.795669i	$-0.707120\pi$
$233$	5.87995	−	14.1954i	0.385208	−	0.929975i	0.990940	−	0.134306i	$-0.0428805\pi$
$234$	−0.872765	+	1.22357i	−0.0570545	+	0.0799875i
$235$	−1.16924	+	0.232575i	−0.0762725	+	0.0151715i
$236$	−18.7761	−	14.2777i	−1.22222	−	0.929397i
$237$	−14.3454	+	9.58527i	−0.931832	+	0.622630i
$238$	−0.289279	−	0.763536i	−0.0187511	−	0.0494927i
$239$	−1.18780	−	1.18780i	−0.0768321	−	0.0768321i	0.667646	−	0.744479i	$-0.267302\pi$
$239$	−1.18780	−	1.18780i	−0.0768321	−	0.0768321i	−0.744479	+	0.667646i	$0.767302\pi$
$240$	−0.328301	+	0.256498i	−0.0211917	+	0.0165569i
$241$	−11.8234	+	11.8234i	−0.761611	+	0.761611i	−0.976613	−	0.215003i	$-0.931024\pi$
$241$	−11.8234	+	11.8234i	−0.761611	+	0.761611i	0.215003	+	0.976613i	$0.431024\pi$
$242$	33.9000	+	15.2708i	2.17917	+	0.981645i
$243$	−0.555570	−	0.831470i	−0.0356398	−	0.0533388i
$244$	1.45044	−	5.50917i	0.0928547	−	0.352689i
$245$	−0.00406451	−	0.0204337i	−0.000259672	−	0.00130546i
$246$	−4.02025	+	0.672762i	−0.256322	+	0.0428938i
$247$	−3.67835	−	1.52362i	−0.234048	−	0.0969458i
$248$	−13.5843	−	16.3333i	−0.862604	−	1.03716i
$249$	8.01896	−	3.32156i	0.508181	−	0.210496i
$250$	0.779712	+	1.24780i	0.0493133	+	0.0789177i
$251$	−1.01869	+	1.52458i	−0.0642991	+	0.0962303i	−0.862226	−	0.506524i	$-0.830930\pi$
$251$	−1.01869	+	1.52458i	−0.0642991	+	0.0962303i	0.797927	+	0.602754i	$0.205930\pi$
$252$	−0.318383	+	5.20562i	−0.0200562	+	0.327923i
$253$	−8.18521	−	1.62814i	−0.514600	−	0.102360i
$254$	5.95372	+	6.32898i	0.373569	+	0.397116i
$255$	0.0230604			0.00144410
$256$	15.5248	+	3.87067i	0.970297	+	0.241917i
$257$	20.0674			1.25177			0.625885	−	0.779915i	$-0.284738\pi$
$257$	20.0674			1.25177			0.625885	+	0.779915i	$0.284738\pi$
$258$	−6.81750	−	7.24721i	−0.424439	−	0.451192i
$259$	18.9369	+	3.76679i	1.17668	+	0.234057i
$260$	−0.0135147	+	0.220968i	−0.000838145	+	0.0137038i
$261$	3.14091	−	4.70071i	0.194418	−	0.290966i
$262$	−16.7031	−	26.7305i	−1.03192	−	1.65141i
$263$	−5.83503	+	2.41695i	−0.359804	+	0.149036i	−0.555260	−	0.831677i	$-0.687381\pi$
$263$	−5.83503	+	2.41695i	−0.359804	+	0.149036i	0.195456	+	0.980712i	$0.437381\pi$
$264$	11.0445	+	13.2795i	0.679741	+	0.817297i
$265$	−0.352459	−	0.145993i	−0.0216514	−	0.00896830i
$266$	−13.6264	+	2.28028i	−0.835486	+	0.139813i
$267$	−1.89391	−	9.52135i	−0.115906	−	0.582697i
$268$	−0.447318	+	1.69904i	−0.0273243	+	0.103785i
$269$	−11.0234	−	16.4976i	−0.672106	−	1.00588i	−0.998166	−	0.0605284i	$-0.980721\pi$
$269$	−11.0234	−	16.4976i	−0.672106	−	1.00588i	0.326061	−	0.945349i	$-0.394279\pi$
$270$	−0.134300	−	0.0604978i	−0.00817326	−	0.00368178i
$271$	−0.761367	+	0.761367i	−0.0462497	+	0.0462497i	−0.729853	−	0.683604i	$-0.760412\pi$
$271$	−0.761367	+	0.761367i	−0.0462497	+	0.0462497i	0.683604	+	0.729853i	$0.260412\pi$
$272$	−0.545243	−	0.697876i	−0.0330602	−	0.0423149i
$273$	1.95960	+	1.95960i	0.118600	+	0.118600i
$274$	−0.561337	−	1.48162i	−0.0339116	−	0.0895080i
$275$	25.3322	−	16.9265i	1.52759	−	1.02070i
$276$	−2.17571	−	1.65444i	−0.130962	−	0.0995856i
$277$	−12.6691	+	2.52005i	−0.761214	+	0.151415i	−0.560409	−	0.828216i	$-0.689356\pi$
$277$	−12.6691	+	2.52005i	−0.761214	+	0.151415i	−0.200805	+	0.979631i	$0.564356\pi$
$278$	0.361924	−	0.507399i	0.0217068	−	0.0304318i
$279$	2.87430	−	6.93917i	0.172080	−	0.415437i
$280$	0.366559	+	0.675114i	0.0219061	+	0.0403458i
$281$	−2.83645	−	6.84781i	−0.169209	−	0.408506i	0.816414	−	0.577467i	$-0.195959\pi$
$281$	−2.83645	−	6.84781i	−0.169209	−	0.408506i	−0.985623	+	0.168961i	$0.945959\pi$
$282$	−3.64124	+	15.7720i	−0.216833	+	0.939209i
$283$	26.3005	+	17.5734i	1.56340	+	1.04463i	0.971027	+	0.238970i	$0.0768097\pi$
$283$	26.3005	+	17.5734i	1.56340	+	1.04463i	0.592375	+	0.805662i	$0.298190\pi$
$284$	−5.41295	−	15.7203i	−0.321200	−	0.932828i
$285$	0.0761246	−	0.382704i	0.00450923	−	0.0226694i
$286$	9.17364	+	0.280274i	0.542449	+	0.0165730i
$287$			7.51604i			0.443658i
$288$	1.34457	+	5.49474i	0.0792296	+	0.323780i
$289$		−	16.9510i		−	0.997116i
$290$	0.0254303	−	0.832357i	0.00149332	−	0.0488777i
$291$	0.869198	−	4.36975i	0.0509533	−	0.256159i
$292$	5.49747	−	11.2715i	0.321715	−	0.659615i
$293$	20.7234	+	13.8470i	1.21068	+	0.808948i	0.986204	−	0.165532i	$-0.0529343\pi$
$293$	20.7234	+	13.8470i	1.21068	+	0.808948i	0.224472	+	0.974481i	$0.427934\pi$
$294$	−0.275633	−	0.0636348i	−0.0160753	−	0.00371125i
$295$	−0.470091	−	1.13490i	−0.0273697	−	0.0660764i
$296$	20.8277	−	2.18912i	1.21059	−	0.127240i
$297$	−2.33690	+	5.64178i	−0.135601	+	0.327369i
$298$	2.04036	+	1.45537i	0.118195	+	0.0843073i
$299$	−1.42449	+	0.283348i	−0.0823802	+	0.0163864i
$300$	9.88716	−	1.34560i	0.570835	−	0.0776880i
$301$	−15.2547	+	10.1929i	−0.879266	+	0.587507i
$302$	−11.4292	+	4.33016i	−0.657678	+	0.249173i
$303$	2.90554	+	2.90554i	0.166919	+	0.166919i
$304$	−13.3816	+	6.74494i	−0.767490	+	0.386849i
$305$	0.209785	−	0.209785i	0.0120123	−	0.0120123i
$306$	0.128601	−	0.285485i	0.00735165	−	0.0163201i
$307$	−7.16960	−	10.7301i	−0.409191	−	0.612397i	0.568440	−	0.822724i	$-0.307547\pi$
$307$	−7.16960	−	10.7301i	−0.409191	−	0.612397i	−0.977631	+	0.210327i	$0.932547\pi$
$308$	27.5115	−	16.0443i	1.56762	−	0.914209i
$309$	−1.10854	−	5.57302i	−0.0630627	−	0.317038i
$310$	−0.182599	−	1.09116i	−0.0103709	−	0.0619740i
$311$	−11.5135	−	4.76903i	−0.652869	−	0.270427i	0.0315655	−	0.999502i	$-0.489951\pi$
$311$	−11.5135	−	4.76903i	−0.652869	−	0.270427i	−0.684434	+	0.729075i	$0.739951\pi$
$312$	2.66018	+	1.39958i	0.150603	+	0.0792358i
$313$	−16.7731	+	6.94765i	−0.948072	+	0.392704i	−0.802506	−	0.596644i	$-0.796500\pi$
$313$	−16.7731	+	6.94765i	−0.948072	+	0.392704i	−0.145566	+	0.989349i	$0.546500\pi$
$314$	11.9023	−	7.43738i	0.671685	−	0.419716i
$315$	−0.150894	+	0.225829i	−0.00850193	+	0.0127240i
$316$	22.8644	+	25.8435i	1.28623	+	1.45381i
$317$	19.0483	+	3.78895i	1.06986	+	0.212808i	0.698449	−	0.715660i	$-0.253874\pi$
$317$	19.0483	+	3.78895i	1.06986	+	0.212808i	0.371411	+	0.928468i	$0.378874\pi$
$318$	−3.77294	+	3.54923i	−0.211576	+	0.199031i
$319$	−34.5237			−1.93296
$320$	0.596854	+	0.581425i	0.0333652	+	0.0325026i
$321$	11.4729			0.640356
$322$	−3.67093	+	3.45327i	−0.204573	+	0.192443i
$323$	0.813522	+	0.161820i	0.0452656	+	0.00900389i
$324$	−1.49791	+	1.32524i	−0.0832172	+	0.0736246i
$325$	2.94574	−	4.40861i	0.163400	−	0.244546i
$326$	23.6102	−	14.7533i	1.30765	−	0.817110i
$327$	−17.9248	+	7.42471i	−0.991246	+	0.410588i
$328$	2.41751	+	7.78562i	0.133485	+	0.429889i
$329$	27.5751	+	11.4220i	1.52026	+	0.629713i
$330$	0.148459	+	0.887153i	0.00817240	+	0.0488362i
$331$	−2.06403	−	10.3766i	−0.113449	−	0.570348i	−0.995136	−	0.0985127i	$-0.968592\pi$
$331$	−2.06403	−	10.3766i	−0.113449	−	0.570348i	0.881686	−	0.471836i	$-0.156408\pi$
$332$	−8.74520	−	14.9956i	−0.479955	−	0.822990i
$333$	4.11359	+	6.15643i	0.225424	+	0.337370i
$334$	11.4829	−	25.4911i	0.628316	−	1.39481i
$335$	−0.0646982	+	0.0646982i	−0.00353484	+	0.00353484i
$336$	10.4020	−	0.773030i	0.567477	−	0.0421722i
$337$	−6.92075	−	6.92075i	−0.376997	−	0.376997i	0.493021	−	0.870018i	$-0.335893\pi$
$337$	−6.92075	−	6.92075i	−0.376997	−	0.376997i	−0.870018	+	0.493021i	$0.835893\pi$
$338$	−15.6986	+	5.94768i	−0.853891	+	0.323511i
$339$	−11.2721	+	7.53178i	−0.612217	+	0.409070i
$340$	−0.00621950	−	0.0456996i	−0.000337299	−	0.00247841i
$341$	−44.9849	+	8.94805i	−2.43607	+	0.484564i
$342$	−4.31330	−	3.07665i	−0.233237	−	0.166366i
$343$	−7.18501	+	17.3462i	−0.387954	+	0.936604i
$344$	−12.5233	+	15.4651i	−0.675212	+	0.833821i
$345$	−0.0544723	−	0.131508i	−0.00293269	−	0.00708014i
$346$	−20.5682	−	4.74853i	−1.10575	−	0.255283i
$347$	−15.8336	−	10.5797i	−0.849994	−	0.567948i	0.0525147	−	0.998620i	$-0.483276\pi$
$347$	−15.8336	−	10.5797i	−0.849994	−	0.567948i	−0.902508	+	0.430673i	$0.858276\pi$
$348$	−10.1627	−	4.95664i	−0.544775	−	0.265704i
$349$	−2.82461	+	14.2003i	−0.151198	+	0.760124i	0.828554	+	0.559909i	$0.189164\pi$
$349$	−2.82461	+	14.2003i	−0.151198	+	0.760124i	−0.979752	+	0.200215i	$0.935836\pi$
$350$	0.561868	−	18.3905i	0.0300331	−	0.983012i
$351$			1.06274i			0.0567251i
$352$	23.3377	−	25.4688i	1.24390	−	1.35749i
$353$			28.4485i			1.51416i	0.653323	+	0.757080i	$0.273374\pi$
$353$			28.4485i			1.51416i	−0.653323	+	0.757080i	$0.726626\pi$
$354$	−16.6715	−	0.509349i	−0.886079	−	0.0270716i
$355$	0.168918	−	0.849210i	0.00896526	−	0.0450714i
$356$	−18.3580	+	6.32118i	−0.972970	+	0.335022i
$357$	−0.480050	−	0.320759i	−0.0254070	−	0.0169764i
$358$	2.89583	−	12.5433i	0.153049	−	0.662932i
$359$	−9.30015	−	22.4525i	−0.490843	−	1.18500i	−0.954292	−	0.298876i	$-0.903388\pi$
$359$	−9.30015	−	22.4525i	−0.490843	−	1.18500i	0.463449	−	0.886124i	$-0.346612\pi$
$360$	−0.0836690	+	0.282464i	−0.00440974	+	0.0148871i
$361$	−1.89996	+	4.58691i	−0.0999979	+	0.241416i
$362$	2.47853	−	3.47478i	0.130269	−	0.182630i
$363$	25.7856	−	5.12907i	1.35339	−	0.269206i
$364$	3.35489	−	4.41191i	0.175844	−	0.231247i
$365$	0.543023	−	0.362837i	0.0284231	−	0.0189917i
$366$	−1.42720	−	3.76702i	−0.0746010	−	0.196906i
$367$	1.22258	+	1.22258i	0.0638181	+	0.0638181i	0.738295	−	0.674477i	$-0.235631\pi$
$367$	1.22258	+	1.22258i	0.0638181	+	0.0638181i	−0.674477	+	0.738295i	$0.735631\pi$
$368$	−2.69186	+	4.75787i	−0.140323	+	0.248021i
$369$	−2.03808	+	2.03808i	−0.106098	+	0.106098i
$370$	0.994396	+	0.447942i	0.0516962	+	0.0232874i
$371$	5.30647	+	7.94169i	0.275498	+	0.412312i
$372$	−14.5268	−	3.82456i	−0.753178	−	0.198294i
$373$	3.36506	+	16.9173i	0.174236	+	0.875944i	0.964683	+	0.263414i	$0.0848484\pi$
$373$	3.36506	+	16.9173i	0.174236	+	0.875944i	−0.790447	+	0.612531i	$0.790152\pi$
$374$	−1.88584	+	0.315583i	−0.0975145	+	0.0163184i
$375$	0.961223	+	0.398152i	0.0496374	+	0.0205605i
$376$	32.2379	+	2.96219i	1.66254	+	0.152763i
$377$	−5.55087	+	2.29925i	−0.285884	+	0.118417i
$378$	1.95424	+	3.12744i	0.100515	+	0.160858i
$379$	−3.02786	+	4.53151i	−0.155531	+	0.232768i	−0.901049	−	0.433717i	$-0.857202\pi$
$379$	−3.02786	+	4.53151i	−0.155531	+	0.232768i	0.745519	+	0.666485i	$0.232202\pi$
$380$	−0.778948	−	0.0476415i	−0.0399592	−	0.00244396i
$381$	6.02616	+	1.19868i	0.308729	+	0.0614101i
$382$	1.44021	+	1.53099i	0.0736876	+	0.0783321i
$383$	−2.55171			−0.130386			−0.0651932	−	0.997873i	$-0.520766\pi$
$383$	−2.55171			−0.130386			−0.0651932	+	0.997873i	$0.520766\pi$
$384$	10.5265	−	4.14653i	0.537176	−	0.211602i
$385$	1.65857			0.0845287
$386$	−10.3303	−	10.9814i	−0.525798	−	0.558939i
$387$	−6.90045	−	1.37259i	−0.350770	−	0.0697724i
$388$	−8.89410	−	0.543975i	−0.451530	−	0.0276162i
$389$	−11.0881	+	16.5946i	−0.562191	+	0.841378i	−0.998286	−	0.0585224i	$-0.981361\pi$
$389$	−11.0881	+	16.5946i	−0.562191	+	0.841378i	0.436095	+	0.899901i	$0.356361\pi$
$390$	0.0829534	+	0.132753i	0.00420051	+	0.00672221i
$391$	0.279549	−	0.115793i	0.0141374	−	0.00585590i
$392$	−0.0517675	+	0.563394i	−0.00261465	+	0.0284557i
$393$	−20.5914	−	8.52925i	−1.03870	−	0.430244i
$394$	12.4161	−	2.07775i	0.625513	−	0.104675i
$395$	0.350575	+	1.76246i	0.0176394	+	0.0886791i
$396$	11.8108	+	3.10950i	0.593513	+	0.156258i
$397$	21.0699	+	31.5334i	1.05747	+	1.58262i	0.784026	+	0.620728i	$0.213163\pi$
$397$	21.0699	+	31.5334i	1.05747	+	1.58262i	0.273444	+	0.961888i	$0.411837\pi$
$398$	16.3129	+	7.34840i	0.817691	+	0.368342i
$399$	−6.90792	+	6.90792i	−0.345829	+	0.345829i
$400$	−5.33322	−	19.2308i	−0.266661	−	0.961539i
$401$	−15.4938	−	15.4938i	−0.773725	−	0.773725i	0.205030	−	0.978756i	$-0.434271\pi$
$401$	−15.4938	−	15.4938i	−0.773725	−	0.773725i	−0.978756	+	0.205030i	$0.934271\pi$
$402$	0.440152	+	1.16176i	0.0219528	+	0.0579433i
$403$	−6.63693	+	4.43466i	−0.330609	+	0.220906i
$404$	4.97436	−	6.54164i	0.247484	−	0.325459i
$405$	−0.102154	+	0.0203196i	−0.00507606	+	0.00100969i
$406$	−12.1071	+	16.9735i	−0.600864	+	0.842381i
$407$	17.3030	−	41.7733i	0.857680	−	2.07062i
$408$	−0.600439	−	0.177857i	−0.0297262	−	0.00880523i
$409$	3.34636	+	8.07883i	0.165467	+	0.399472i	0.984764	−	0.173897i	$-0.0556360\pi$
$409$	3.34636	+	8.07883i	0.165467	+	0.399472i	−0.819297	+	0.573369i	$0.805636\pi$
$410$	−0.0955032	+	0.413671i	−0.00471657	+	0.0204298i
$411$	−0.931524	−	0.622424i	−0.0459487	−	0.0307019i
$412$	−10.7452	+	3.69990i	−0.529380	+	0.182281i
$413$	−6.00000	+	30.1640i	−0.295240	+	1.48427i
$414$	−1.93183	−	0.0590214i	−0.0949441	−	0.00290074i
$415$		−	0.904031i		−	0.0443771i
$416$	2.05614	−	5.64924i	0.100810	−	0.276977i
$417$		−	0.440706i		−	0.0215815i
$418$	−0.988014	+	32.3386i	−0.0483254	+	1.58173i
$419$	4.44510	−	22.3470i	0.217158	−	1.09172i	−0.706267	−	0.707945i	$-0.749622\pi$
$419$	4.44510	−	22.3470i	0.217158	−	1.09172i	0.923425	−	0.383779i	$-0.125378\pi$
$420$	0.488230	+	0.238125i	0.0238232	+	0.0116193i
$421$	6.86080	+	4.58424i	0.334375	+	0.223422i	0.711411	−	0.702777i	$-0.248057\pi$
$421$	6.86080	+	4.58424i	0.334375	+	0.223422i	−0.377036	+	0.926199i	$0.623057\pi$
$422$	36.6720	+	8.46638i	1.78517	+	0.412137i
$423$	4.38013	+	10.5746i	0.212969	+	0.514154i
$424$	8.05121	+	6.51972i	0.391001	+	0.316625i
$425$	−0.422720	+	1.02054i	−0.0205049	+	0.0495033i
$426$	−9.57110	−	6.82699i	−0.463721	−	0.330769i
$427$	−7.28512	+	1.44910i	−0.352552	+	0.0701269i
$428$	−3.09430	−	22.7362i	−0.149568	−	1.09900i
$429$	5.39605	−	3.60552i	0.260524	−	0.174076i
$430$	−0.969110	+	0.367164i	−0.0467347	+	0.0177062i
$431$	−3.46114	−	3.46114i	−0.166717	−	0.166717i	0.618818	−	0.785535i	$-0.287612\pi$
$431$	−3.46114	−	3.46114i	−0.166717	−	0.166717i	−0.785535	+	0.618818i	$0.787612\pi$
$432$	3.03027	+	2.61103i	0.145794	+	0.125623i
$433$	12.8950	−	12.8950i	0.619694	−	0.619694i	−0.325759	−	0.945453i	$-0.605620\pi$
$433$	12.8950	−	12.8950i	0.619694	−	0.619694i	0.945453	+	0.325759i	$0.105620\pi$
$434$	−11.3764	+	25.2547i	−0.546084	+	1.21226i
$435$	−0.327142	−	0.489602i	−0.0156853	−	0.0234746i
$436$	19.5482	+	33.5197i	0.936189	+	1.60530i
$437$	−0.998849	−	5.02155i	−0.0477814	−	0.240214i
$438$	−1.46358	−	8.74600i	−0.0699327	−	0.417900i
$439$	11.7351	+	4.86085i	0.560087	+	0.231996i	0.644723	−	0.764416i	$-0.276973\pi$
$439$	11.7351	+	4.86085i	0.560087	+	0.231996i	−0.0846357	+	0.996412i	$0.526973\pi$
$440$	1.71806	−	0.533475i	0.0819053	−	0.0254324i
$441$	−0.184803	+	0.0765477i	−0.00880012	+	0.00364513i
$442$	−0.282196	+	0.176336i	−0.0134227	+	0.00838745i
$443$	−5.99448	+	8.97138i	−0.284806	+	0.426243i	−0.946095	−	0.323888i	$-0.895010\pi$
$443$	−5.99448	+	8.97138i	−0.284806	+	0.426243i	0.661289	+	0.750131i	$0.270010\pi$
$444$	11.0909	−	9.81245i	0.526352	−	0.465678i
$445$	−0.991696	−	0.197261i	−0.0470109	−	0.00935105i
$446$	−27.3514	+	25.7296i	−1.29512	+	1.21833i
$447$	1.77217			0.0838207
$448$	−4.33741	−	20.4055i	−0.204923	−	0.964070i
$449$	−27.6710			−1.30587			−0.652937	−	0.757412i	$-0.726463\pi$
$449$	−27.6710			−1.30587			−0.652937	+	0.757412i	$0.726463\pi$
$450$	5.13918	−	4.83447i	0.242263	−	0.227899i
$451$	17.2628	+	3.43378i	0.812872	+	0.161690i
$452$	17.9661	+	20.3069i	0.845055	+	0.955158i
$453$	−4.80139	+	7.18578i	−0.225589	+	0.337618i
$454$	−20.2469	+	12.6517i	−0.950233	+	0.593772i
$455$	0.266672	−	0.110459i	0.0125018	−	0.00517841i
$456$	−4.93377	+	9.37759i	−0.231045	+	0.439146i
$457$	5.22643	+	2.16486i	0.244482	+	0.101268i	0.501560	−	0.865123i	$-0.332760\pi$
$457$	5.22643	+	2.16486i	0.244482	+	0.101268i	−0.257078	+	0.966391i	$0.582760\pi$
$458$	−4.63654	−	27.7067i	−0.216651	−	1.29465i
$459$	−0.0431939	−	0.217150i	−0.00201612	−	0.0101357i
$460$	−0.245922	+	0.143418i	−0.0114662	+	0.00668688i
$461$	13.1559	+	19.6892i	0.612732	+	0.917018i	0.999988	−	0.00495411i	$-0.00157695\pi$
$461$	13.1559	+	19.6892i	0.612732	+	0.917018i	−0.387256	+	0.921972i	$0.626577\pi$
$462$	9.24939	−	20.5329i	0.430321	−	0.955278i
$463$	16.7704	−	16.7704i	0.779386	−	0.779386i	−0.200340	−	0.979726i	$-0.564205\pi$
$463$	16.7704	−	16.7704i	0.779386	−	0.779386i	0.979726	+	0.200340i	$0.0642048\pi$
$464$	−7.08182	+	21.4765i	−0.328765	+	0.997021i
$465$	−0.553169	−	0.553169i	−0.0256526	−	0.0256526i
$466$	−20.3200	+	7.69856i	−0.941304	+	0.356629i
$467$	−6.72675	+	4.49467i	−0.311277	+	0.207989i	−0.701389	−	0.712779i	$-0.747436\pi$
$467$	−6.72675	+	4.49467i	−0.311277	+	0.207989i	0.390112	+	0.920767i	$0.372436\pi$
$468$	2.10607	−	0.286627i	0.0973533	−	0.0132493i
$469$	2.24675	−	0.446906i	0.103745	−	0.0206362i
$470$	1.37255	+	0.979032i	0.0633112	+	0.0451594i
$471$	3.79782	−	9.16875i	0.174994	−	0.422474i
$472$	3.48698	+	33.1758i	0.160501	+	1.52704i
$473$	16.4416	+	39.6935i	0.755985	+	1.82511i
$474$	23.7741	+	5.48867i	1.09198	+	0.252103i
$475$	15.5411	+	10.3842i	0.713075	+	0.476461i
$476$	−0.506187	+	1.03784i	−0.0232011	+	0.0475694i
$477$	−0.714576	+	3.59242i	−0.0327182	+	0.164485i
$478$	−0.0725455	+	2.37448i	−0.00331815	+	0.108606i
$479$			25.1863i			1.15079i	0.817876	+	0.575395i	$0.195152\pi$
$479$			25.1863i			1.15079i	−0.817876	+	0.575395i	$0.804848\pi$
$480$	0.582333	+	0.0896278i	0.0265797	+	0.00409093i
$481$		−	7.86885i		−	0.358789i
$482$	23.6357	+	0.722122i	1.07658	+	0.0328918i
$483$	−0.695256	+	3.49529i	−0.0316352	+	0.159041i
$484$	−17.1189	−	49.7168i	−0.778133	−	2.25985i
$485$	−0.385842	−	0.257812i	−0.0175202	−	0.0117066i
$486$	−0.318128	+	1.37797i	−0.0144306	+	0.0625059i
$487$	−11.1531	−	26.9259i	−0.505394	−	1.22013i	−0.946509	−	0.322678i	$-0.895417\pi$
$487$	−11.1531	−	26.9259i	−0.505394	−	1.22013i	0.441115	−	0.897451i	$-0.354583\pi$
$488$	−7.08031	+	3.84431i	−0.320511	+	0.174024i
$489$	7.53362	−	18.1878i	0.340682	−	0.822479i
$490$	−0.0171097	+	0.0239869i	−0.000772936	+	0.00108362i
$491$	21.9923	−	4.37455i	0.992500	−	0.197420i	0.327975	−	0.944686i	$-0.393634\pi$
$491$	21.9923	−	4.37455i	0.992500	−	0.197420i	0.664525	+	0.747266i	$0.268634\pi$
$492$	4.58860	+	3.48924i	0.206870	+	0.157307i
$493$	1.04076	−	0.695413i	0.0468734	−	0.0313198i
$494$	1.99487	+	5.26535i	0.0897532	+	0.236899i
$495$	0.449745	+	0.449745i	0.0202145	+	0.0202145i
$496$	−3.66132	+	29.8197i	−0.164398	+	1.33894i
$497$	−15.3285	+	15.3285i	−0.687577	+	0.687577i
$498$	−11.1918	−	5.04152i	−0.501516	−	0.225916i
$499$	−7.28677	−	10.9054i	−0.326201	−	0.488194i	0.631732	−	0.775187i	$-0.282344\pi$
$499$	−7.28677	−	10.9054i	−0.326201	−	0.488194i	−0.957933	+	0.286993i	$0.907344\pi$
$500$	0.529784	−	2.01227i	0.0236927	−	0.0899915i
$501$	−3.85681	−	19.3895i	−0.172310	−	0.866259i
$502$	2.55753	−	0.427985i	0.114148	−	0.0191019i
$503$	−4.92050	−	2.03814i	−0.219394	−	0.0908761i	0.270279	−	0.962782i	$-0.412884\pi$
$503$	−4.92050	−	2.03814i	−0.219394	−	0.0908761i	−0.489674	+	0.871906i	$0.662884\pi$
$504$	5.67068	−	4.71627i	0.252592	−	0.210079i
$505$	0.395401	−	0.163780i	0.0175951	−	0.00728813i
$506$	6.25434	+	10.0090i	0.278039	+	0.444955i
$507$	−6.59494	+	9.87002i	−0.292891	+	0.438343i
$508$	0.750175	−	12.2655i	0.0332836	−	0.544194i
$509$	1.60223	+	0.318703i	0.0710176	+	0.0141263i	0.230471	−	0.973079i	$-0.425973\pi$
$509$	1.60223	+	0.318703i	0.0710176	+	0.0141263i	−0.159454	+	0.987205i	$0.550973\pi$
$510$	−0.0223454	−	0.0237539i	−0.000989473	−	0.00105184i
$511$	−16.3510			−0.723327
$512$	−11.0563	−	19.7423i	−0.488626	−	0.872493i
$513$	−3.74635			−0.165406
$514$	−19.4452	−	20.6709i	−0.857693	−	0.911753i
$515$	−0.580458	−	0.115460i	−0.0255780	−	0.00508779i
$516$	−0.859013	+	14.0450i	−0.0378160	+	0.618298i
$517$	38.8318	−	58.1158i	1.70782	−	2.55593i
$518$	−14.4698	−	23.1564i	−0.635764	−	1.01743i
$519$	−13.7903	+	5.71212i	−0.605326	+	0.250734i
$520$	0.240708	−	0.200196i	0.0105557	−	0.00877916i
$521$	−3.34307	−	1.38474i	−0.146463	−	0.0606668i	0.308248	−	0.951306i	$-0.400257\pi$
$521$	−3.34307	−	1.38474i	−0.146463	−	0.0606668i	−0.454711	+	0.890639i	$0.650257\pi$
$522$	−7.88559	+	1.31960i	−0.345143	+	0.0577574i
$523$	3.40024	+	17.0942i	0.148682	+	0.747475i	0.981127	+	0.193367i	$0.0619407\pi$
$523$	3.40024	+	17.0942i	0.148682	+	0.747475i	−0.832445	+	0.554108i	$0.813059\pi$
$524$	−11.3491	+	43.1071i	−0.495787	+	1.88314i
$525$	−7.22802	−	10.8175i	−0.315457	−	0.472114i
$526$	8.14375	+	3.66849i	0.355084	+	0.159954i
$527$	1.17588	−	1.17588i	0.0512222	−	0.0512222i
$528$	2.97678	−	24.2444i	0.129548	−	1.05510i
$529$	14.9428	+	14.9428i	0.649686	+	0.649686i
$530$	0.191148	+	0.504525i	0.00830293	+	0.0219152i
$531$	−9.80637	+	6.55240i	−0.425560	+	0.284350i
$532$	15.5527	+	11.8265i	0.674297	+	0.512746i
$533$	3.00427	−	0.597586i	0.130129	−	0.0258843i
$534$	−7.97247	+	11.1770i	−0.345003	+	0.483677i
$535$	0.457292	−	1.10400i	0.0197705	−	0.0477302i
$536$	2.18358	−	1.18559i	0.0943164	−	0.0512099i
$537$	−3.48346	−	8.40982i	−0.150322	−	0.362911i
$538$	−6.31214	+	27.3410i	−0.272136	+	1.17875i
$539$	1.01564	+	0.678628i	0.0437467	+	0.0292306i
$540$	0.0678194	+	0.196961i	0.00291848	+	0.00847585i
$541$	6.88737	−	34.6252i	0.296111	−	1.48865i	−0.490629	−	0.871368i	$-0.663233\pi$
$541$	6.88737	−	34.6252i	0.296111	−	1.48865i	0.786741	−	0.617284i	$-0.211767\pi$
$542$	1.52202	+	0.0465011i	0.0653765	+	0.00199739i
$543$		−	3.01805i		−	0.129517i
$544$	−0.190524	+	1.23788i	−0.00816864	+	0.0530736i
$545$			2.02079i			0.0865610i
$546$	0.119684	−	3.91737i	0.00512201	−	0.167648i
$547$	4.07830	−	20.5030i	0.174375	−	0.876645i	−0.790202	−	0.612846i	$-0.790025\pi$
$547$	4.07830	−	20.5030i	0.174375	−	0.876645i	0.964578	−	0.263799i	$-0.0849754\pi$
$548$	−0.982242	+	2.01390i	−0.0419593	+	0.0860296i
$549$	−2.36840	−	1.58252i	−0.101081	−	0.0675401i
$550$	−41.9823	−	9.69235i	−1.79013	−	0.413283i
$551$	−8.10523	−	19.5677i	−0.345294	−	0.833614i
$552$	0.404057	+	3.84428i	0.0171978	+	0.163623i
$553$	17.2170	−	41.5656i	0.732143	−	1.76755i
$554$	14.8722	+	10.6082i	0.631857	+	0.450699i
$555$	0.756374	−	0.150452i	0.0321063	−	0.00638634i
$556$	−0.873361	+	0.118860i	−0.0370387	+	0.00504080i
$557$	20.7083	−	13.8368i	0.877439	−	0.586286i	−0.0332184	−	0.999448i	$-0.510576\pi$
$557$	20.7083	−	13.8368i	0.877439	−	0.586286i	0.910658	+	0.413162i	$0.135576\pi$
$558$	−9.93302	+	3.76329i	−0.420498	+	0.159313i
$559$	5.28710	+	5.28710i	0.223620	+	0.223620i
$560$	0.340222	−	1.03176i	0.0143770	−	0.0436000i
$561$	−0.956032	+	0.956032i	−0.0403637	+	0.0403637i
$562$	−4.30522	+	9.55725i	−0.181605	+	0.403148i
$563$	−2.04967	−	3.06755i	−0.0863834	−	0.129282i	0.785761	−	0.618530i	$-0.212271\pi$
$563$	−2.04967	−	3.06755i	−0.0863834	−	0.129282i	−0.872145	+	0.489248i	$0.837271\pi$
$564$	19.7746	−	11.5323i	0.832662	−	0.485596i
$565$	0.275470	+	1.38488i	0.0115891	+	0.0582625i
$566$	−7.38318	−	44.1200i	−0.310338	−	1.85450i
$567$	2.40918	+	0.997914i	0.101176	+	0.0419085i
$568$	−10.9479	+	20.8086i	−0.459364	+	0.873111i
$569$	24.0751	−	9.97222i	1.00928	−	0.418057i	0.184087	−	0.982910i	$-0.441067\pi$
$569$	24.0751	−	9.97222i	1.00928	−	0.418057i	0.825192	+	0.564853i	$0.191067\pi$
$570$	−0.467977	+	0.292425i	−0.0196014	+	0.0122483i
$571$	9.36593	−	14.0171i	0.391952	−	0.586598i	−0.582046	−	0.813156i	$-0.697747\pi$
$571$	9.36593	−	14.0171i	0.391952	−	0.586598i	0.973998	+	0.226559i	$0.0727475\pi$
$572$	−8.60052	−	9.72109i	−0.359606	−	0.406459i
$573$	1.45773	+	0.289961i	0.0608977	+	0.0121133i
$574$	7.74206	−	7.28301i	0.323147	−	0.303987i
$575$	6.81840			0.284347
$576$	4.35709	−	6.70938i	0.181545	−	0.279558i
$577$	−29.9602			−1.24726			−0.623629	−	0.781721i	$-0.714342\pi$
$577$	−29.9602			−1.24726			−0.623629	+	0.781721i	$0.714342\pi$
$578$	−17.4607	+	16.4254i	−0.726270	+	0.683208i
$579$	−10.4560	−	2.07982i	−0.434536	−	0.0864345i
$580$	−0.882029	+	0.780355i	−0.0366243	+	0.0324025i
$581$	−12.5746	+	18.8193i	−0.521684	+	0.780755i
$582$	−5.34341	+	3.33894i	−0.221491	+	0.138403i
$583$	20.6647	−	8.55959i	0.855844	−	0.354502i
$584$	−16.9375	+	5.25926i	−0.700878	+	0.217630i
$585$	0.102264	+	0.0423593i	0.00422811	+	0.00175134i
$586$	−5.81757	−	34.7643i	−0.240321	−	1.43610i
$587$	0.632802	+	3.18131i	0.0261185	+	0.131307i	0.991645	−	0.128999i	$-0.0411765\pi$
$587$	0.632802	+	3.18131i	0.0261185	+	0.131307i	−0.965526	+	0.260306i	$0.916177\pi$
$588$	0.201539	+	0.345584i	0.00831133	+	0.0142516i
$589$	−15.6329	−	23.3963i	−0.644143	−	0.964028i
$590$	−0.713512	+	1.58394i	−0.0293748	+	0.0652098i
$591$	6.29437	−	6.29437i	0.258916	−	0.258916i
$592$	−22.4369	−	19.3328i	−0.922152	−	0.794573i
$593$	−14.3196	−	14.3196i	−0.588036	−	0.588036i	0.349063	−	0.937099i	$-0.386500\pi$
$593$	−14.3196	−	14.3196i	−0.588036	−	0.588036i	−0.937099	+	0.349063i	$0.886500\pi$
$594$	8.07588	−	3.05968i	0.331357	−	0.125540i
$595$	−0.0499997	+	0.0334087i	−0.00204979	+	0.00136962i
$596$	−0.477961	−	3.51196i	−0.0195781	−	0.143856i
$597$	12.4082	−	2.46814i	0.507833	−	0.101014i
$598$	1.67219	+	1.19276i	0.0683809	+	0.0487756i
$599$	7.06998	−	17.0685i	0.288872	−	0.697398i	−0.711112	−	0.703079i	$-0.751808\pi$
$599$	7.06998	−	17.0685i	0.288872	−	0.697398i	0.999984	+	0.00568061i	$0.00180820\pi$
$600$	−10.9667	−	8.88060i	−0.447713	−	0.362549i
$601$	−12.9311	−	31.2185i	−0.527472	−	1.27343i	−0.933174	−	0.359424i	$-0.882973\pi$
$601$	−12.9311	−	31.2185i	−0.527472	−	1.27343i	0.405703	−	0.914005i	$-0.367027\pi$
$602$	25.2811	+	5.83659i	1.03038	+	0.237882i
$603$	0.730421	+	0.488051i	0.0297450	+	0.0198750i
$604$	15.5353	+	7.57702i	0.632120	+	0.308305i
$605$	0.534219	−	2.68570i	0.0217191	−	0.109189i
$606$	0.177458	−	5.80837i	0.00720875	−	0.235949i
$607$			30.0269i			1.21875i	0.792880	+	0.609377i	$0.208581\pi$
$607$			30.0269i			1.21875i	−0.792880	+	0.609377i	$0.791419\pi$
$608$	19.9145	+	7.24823i	0.807641	+	0.293954i
$609$			14.7425i			0.597395i
$610$	−0.419374	−	0.0128128i	−0.0169800	−	0.000518775i
$611$	2.37308	−	11.9303i	0.0960045	−	0.482647i
$612$	−0.418684	+	0.144165i	−0.0169243	+	0.00582753i
$613$	−36.1354	−	24.1449i	−1.45950	−	0.975204i	−0.996023	−	0.0890934i	$-0.971603\pi$
$613$	−36.1354	−	24.1449i	−1.45950	−	0.975204i	−0.463473	−	0.886111i	$-0.653397\pi$
$614$	−4.10542	+	17.7826i	−0.165681	+	0.717647i
$615$	0.114883	+	0.277352i	0.00463253	+	0.0111839i
$616$	−43.1853	−	12.7920i	−1.73999	−	0.515404i
$617$	−2.84932	+	6.87887i	−0.114709	+	0.276933i	−0.970799	−	0.239895i	$-0.922887\pi$
$617$	−2.84932	+	6.87887i	−0.114709	+	0.276933i	0.856090	+	0.516827i	$0.172887\pi$
$618$	−4.66643	+	6.54211i	−0.187711	+	0.263162i
$619$	4.42427	−	0.880042i	0.177826	−	0.0353719i	−0.105374	−	0.994433i	$-0.533604\pi$
$619$	4.42427	−	0.880042i	0.177826	−	0.0353719i	0.283200	+	0.959061i	$0.408604\pi$
$620$	−0.947040	+	1.24542i	−0.0380340	+	0.0500174i
$621$	−1.13632	+	0.759267i	−0.0455991	+	0.0304683i
$622$	6.24405	+	16.4809i	0.250364	+	0.660823i
$623$	17.9004	+	17.9004i	0.717165	+	0.717165i
$624$	−1.13603	−	4.09637i	−0.0454778	−	0.163986i
$625$	−17.5627	+	17.5627i	−0.702508	+	0.702508i
$626$	23.4096	+	10.5453i	0.935638	+	0.421473i
$627$	12.7101	+	19.0220i	0.507592	+	0.759665i
$628$	−19.1943	−	5.05341i	−0.765936	−	0.201653i
$629$	0.319819	+	1.60784i	0.0127520	+	0.0641088i
$630$	0.378836	−	0.0633957i	0.0150932	−	0.00252575i
$631$	28.8561	+	11.9526i	1.14874	+	0.475825i	0.874112	−	0.485724i	$-0.161444\pi$
$631$	28.8561	+	11.9526i	1.14874	+	0.475825i	0.274632	+	0.961549i	$0.411444\pi$
$632$	4.46509	−	48.5942i	0.177612	−	1.93297i
$633$	24.5873	−	10.1844i	0.977259	−	0.404794i
$634$	−14.5549	−	23.2926i	−0.578047	−	0.925068i
$635$	0.355538	−	0.532100i	0.0141091	−	0.0211157i
$636$	7.31193	+	0.447208i	0.289937	+	0.0177329i
$637$	0.208495	+	0.0414722i	0.00826087	+	0.00164319i
$638$	33.4533	+	35.5619i	1.32443	+	1.40791i
$639$	−8.31306			−0.328859
$640$	0.0205604	−	1.17820i	0.000812722	−	0.0465725i
$641$	−12.0039			−0.474125			−0.237063	−	0.971494i	$-0.576185\pi$
$641$	−12.0039			−0.474125			−0.237063	+	0.971494i	$0.576185\pi$
$642$	−11.1172	−	11.8179i	−0.438761	−	0.466416i
$643$	−19.1282	−	3.80484i	−0.754343	−	0.150048i	−0.197084	−	0.980387i	$-0.563147\pi$
$643$	−19.1282	−	3.80484i	−0.754343	−	0.150048i	−0.557259	+	0.830338i	$0.688147\pi$
$644$	7.11424	+	0.435116i	0.280340	+	0.0171460i
$645$	−0.407120	+	0.609299i	−0.0160304	+	0.0239911i
$646$	−0.621614	−	0.994789i	−0.0244571	−	0.0391394i
$647$	−3.87838	+	1.60648i	−0.152475	+	0.0631571i	−0.457616	−	0.889150i	$-0.651296\pi$
$647$	−3.87838	+	1.60648i	−0.152475	+	0.0631571i	0.305141	+	0.952307i	$0.401296\pi$
$648$	2.81656	+	0.258800i	0.110645	+	0.0101666i
$649$	66.5392	+	27.5614i	2.61189	+	1.08188i
$650$	−7.39560	+	1.23760i	−0.290079	+	0.0485428i
$651$	3.82104	+	19.2097i	0.149758	+	0.752886i
$652$	−38.0751	−	10.0243i	−1.49114	−	0.392582i
$653$	−10.9318	−	16.3606i	−0.427794	−	0.640239i	0.553479	−	0.832863i	$-0.313300\pi$
$653$	−10.9318	−	16.3606i	−0.427794	−	0.640239i	−0.981273	+	0.192624i	$0.938300\pi$
$654$	25.0171	+	11.2694i	0.978245	+	0.440667i
$655$	−1.64148	+	1.64148i	−0.0641381	+	0.0641381i
$656$	5.67718	−	10.0344i	0.221657	−	0.391779i
$657$	−4.43381	−	4.43381i	−0.172979	−	0.172979i
$658$	−14.9547	−	39.4721i	−0.582994	−	1.53878i
$659$	−14.9450	+	9.98593i	−0.582174	+	0.388997i	−0.811499	−	0.584353i	$-0.801348\pi$
$659$	−14.9450	+	9.98593i	−0.582174	+	0.388997i	0.229325	+	0.973350i	$0.426348\pi$
$660$	0.769975	−	1.01257i	0.0299712	−	0.0394143i
$661$	−23.5649	+	4.68735i	−0.916569	+	0.182317i	−0.630768	−	0.775972i	$-0.717260\pi$
$661$	−23.5649	+	4.68735i	−0.916569	+	0.182317i	−0.285802	+	0.958289i	$0.592260\pi$
$662$	−8.68858	+	12.1810i	−0.337691	+	0.473426i
$663$	−0.0900441	+	0.217386i	−0.00349702	+	0.00844256i
$664$	−6.97247	+	23.5388i	−0.270584	+	0.913484i
$665$	0.389388	+	0.940065i	0.0150998	+	0.0364542i
$666$	2.35551	−	10.2028i	0.0912740	−	0.395352i
$667$	−6.42419	−	4.29251i	−0.248746	−	0.166207i
$668$	−37.3846	+	12.8726i	−1.44645	+	0.498055i
$669$	−5.18021	+	26.0427i	−0.200279	+	1.00687i
$670$	0.129336	+	0.00395149i	0.00499669	+	0.000152659i
$671$			17.3944i			0.671504i
$672$	−10.8758	−	9.96576i	−0.419543	−	0.384438i
$673$			7.78110i			0.299939i	0.988691	+	0.149970i	$0.0479176\pi$
$673$			7.78110i			0.299939i	−0.988691	+	0.149970i	$0.952082\pi$
$674$	−0.422690	+	13.8350i	−0.0162814	+	0.532906i
$675$	0.973335	−	4.89329i	0.0374637	−	0.188343i
$676$	21.3384	+	10.4074i	0.820708	+	0.400285i
$677$	19.0145	+	12.7051i	0.730785	+	0.488295i	0.864442	−	0.502732i	$-0.167672\pi$
$677$	19.0145	+	12.7051i	0.730785	+	0.488295i	−0.133657	+	0.991028i	$0.542672\pi$
$678$	18.6809	+	4.31281i	0.717436	+	0.165633i
$679$	4.44607	+	10.7338i	0.170624	+	0.411924i
$680$	−0.0410471	+	0.0506892i	−0.00157409	+	0.00194384i
$681$	−6.46044	+	15.5969i	−0.247565	+	0.597674i
$682$	52.8073	+	37.6670i	2.02210	+	1.44234i
$683$	−12.0812	+	2.40310i	−0.462274	+	0.0919519i	−0.420732	−	0.907185i	$-0.638227\pi$
$683$	−12.0812	+	2.40310i	−0.462274	+	0.0919519i	−0.0415413	+	0.999137i	$0.513227\pi$
$684$	1.01041	+	7.42427i	0.0386339	+	0.283874i
$685$	−0.0970229	+	0.0648287i	−0.00370706	+	0.00247698i
$686$	24.8300	−	9.40727i	0.948015	−	0.359171i
$687$	−14.0460	−	14.0460i	−0.535889	−	0.535889i
$688$	28.0652	−	2.08567i	1.06997	−	0.0795155i
$689$	2.75250	−	2.75250i	0.104862	−	0.104862i
$690$	−0.0826790	+	0.183541i	−0.00314753	+	0.00698728i
$691$	−22.0907	−	33.0611i	−0.840370	−	1.25770i	−0.964141	−	0.265392i	$-0.914499\pi$
$691$	−22.0907	−	33.0611i	−0.840370	−	1.25770i	0.123771	−	0.992311i	$-0.460501\pi$
$692$	15.0392	+	25.7880i	0.571704	+	0.980314i
$693$	−3.10663	−	15.6181i	−0.118011	−	0.593282i
$694$	4.44488	+	26.5614i	0.168725	+	1.00826i
$695$	−0.0424077	−	0.0175658i	−0.00160861	−	0.000666310i
$696$	4.74187	+	15.2712i	0.179740	+	0.578854i
$697$	−0.589573	+	0.244209i	−0.0223317	+	0.00925009i
$698$	17.3644	−	10.8505i	0.657251	−	0.410696i
$699$	−8.53636	+	12.7756i	−0.322875	+	0.483216i
$700$	−19.4879	+	17.2415i	−0.736575	+	0.651668i
$701$	−6.26203	−	1.24560i	−0.236514	−	0.0470455i	0.0754101	−	0.997153i	$-0.475973\pi$
$701$	−6.26203	−	1.24560i	−0.236514	−	0.0470455i	−0.311924	+	0.950107i	$0.600973\pi$
$702$	1.09470	−	1.02979i	0.0413169	−	0.0388671i
$703$	27.7390			1.04620
$704$	−48.8487	+	0.639648i	−1.84106	+	0.0241076i
$705$	1.19214			0.0448987
$706$	29.3040	−	27.5664i	1.10287	−	1.03748i
$707$	−10.5092	−	2.09041i	−0.395239	−	0.0786179i
$708$	15.6299	+	17.6664i	0.587409	+	0.663943i
$709$	0.468966	−	0.701857i	0.0176124	−	0.0263588i	−0.822559	−	0.568680i	$-0.807454\pi$
$709$	0.468966	−	0.701857i	0.0176124	−	0.0263588i	0.840171	+	0.542321i	$0.182454\pi$
$710$	−1.03843	+	0.648883i	−0.0389715	+	0.0243521i
$711$	15.9397	−	6.60245i	0.597786	−	0.247611i
$712$	24.3000	+	12.7848i	0.910683	+	0.479131i
$713$	−9.48338	−	3.92814i	−0.355155	−	0.147110i
$714$	0.134762	+	0.805301i	0.00504333	+	0.0301376i
$715$	−0.131870	−	0.662955i	−0.00493165	−	0.0247931i
$716$	−15.7265	+	9.17145i	−0.587727	+	0.342753i
$717$	0.933245	+	1.39670i	0.0348527	+	0.0521607i
$718$	−14.1159	+	31.3362i	−0.526801	+	1.16946i
$719$	−36.2159	+	36.2159i	−1.35063	+	1.35063i	−0.465667	+	0.884960i	$0.654185\pi$
$719$	−36.2159	+	36.2159i	−1.35063	+	1.35063i	−0.884960	+	0.465667i	$0.845815\pi$
$720$	0.372033	−	0.187521i	0.0138648	−	0.00698850i
$721$	10.4774	+	10.4774i	0.390200	+	0.390200i
$722$	6.56590	−	2.48760i	0.244357	−	0.0925789i
$723$	13.9028	−	9.28957i	0.517052	−	0.345483i
$724$	−5.98096	+	0.813980i	−0.222280	+	0.0302513i
$725$	27.6642	−	5.50274i	1.02742	−	0.204367i
$726$	−30.2694	−	21.5909i	−1.12340	−	0.801315i
$727$	−13.0674	+	31.5476i	−0.484645	+	1.17004i	0.472736	+	0.881204i	$0.343267\pi$
$727$	−13.0674	+	31.5476i	−0.484645	+	1.17004i	−0.957380	+	0.288831i	$0.906733\pi$
$728$	−7.79546	+	0.819351i	−0.288919	+	0.0303672i
$729$	0.382683	+	0.923880i	0.0141735	+	0.0342178i
$730$	−0.899935	−	0.207766i	−0.0333081	−	0.00768975i
$731$	−1.29520	−	0.865425i	−0.0479047	−	0.0320089i
$732$	−2.49735	+	5.12035i	−0.0923048	+	0.189254i
$733$	0.126205	−	0.634474i	0.00466148	−	0.0234348i	−0.978385	−	0.206794i	$-0.933697\pi$
$733$	0.126205	−	0.634474i	0.00466148	−	0.0234348i	0.983046	+	0.183359i	$0.0586971\pi$
$734$	0.0746699	−	2.44402i	0.00275612	−	0.0902103i
$735$			0.0208340i			0.000768474i
$736$	7.50935	−	1.83755i	0.276798	−	0.0677330i
$737$		−	5.36447i		−	0.197603i
$738$	4.07425	+	0.124477i	0.149975	+	0.00458207i
$739$	−7.25600	+	36.4784i	−0.266916	+	1.34188i	0.581930	+	0.813239i	$0.302298\pi$
$739$	−7.25600	+	36.4784i	−0.266916	+	1.34188i	−0.848846	+	0.528640i	$0.822702\pi$
$740$	−0.502153	−	1.45835i	−0.0184595	−	0.0536101i
$741$	3.31043	+	2.21196i	0.121612	+	0.0812583i
$742$	3.03856	−	13.1615i	0.111549	−	0.483174i
$743$	9.80090	+	23.6615i	0.359560	+	0.868055i	0.995362	+	0.0962025i	$0.0306696\pi$
$743$	9.80090	+	23.6615i	0.359560	+	0.868055i	−0.635802	+	0.771852i	$0.719330\pi$
$744$	10.1368	+	18.6696i	0.371634	+	0.684461i
$745$	0.0706358	−	0.170530i	0.00258790	−	0.00624773i
$746$	14.1653	−	19.8590i	0.518628	−	0.727091i
$747$	−8.51289	+	1.69332i	−0.311470	+	0.0619553i
$748$	2.15244	+	1.63675i	0.0787012	+	0.0598456i
$749$	−24.8756	+	16.6214i	−0.908935	+	0.607331i
$750$	−0.521297	−	1.37594i	−0.0190351	−	0.0502421i
$751$	17.4307	+	17.4307i	0.636056	+	0.636056i	0.949580	−	0.313524i	$-0.101510\pi$
$751$	17.4307	+	17.4307i	0.636056	+	0.636056i	−0.313524	+	0.949580i	$0.601510\pi$
$752$	−28.1871	−	36.0777i	−1.02788	−	1.31562i
$753$	1.29654	−	1.29654i	0.0472487	−	0.0472487i
$754$	7.74716	+	3.48983i	0.282135	+	0.127092i
$755$	0.500089	+	0.748436i	0.0182001	+	0.0272384i
$756$	1.32783	−	5.04349i	0.0482928	−	0.183430i
$757$	−8.43691	−	42.4152i	−0.306645	−	1.54161i	−0.759789	−	0.650170i	$-0.774698\pi$
$757$	−8.43691	−	42.4152i	−0.306645	−	1.54161i	0.453144	−	0.891437i	$-0.350302\pi$
$758$	7.60176	−	1.27210i	0.276108	−	0.0462049i
$759$	7.71030	+	3.19371i	0.279866	+	0.115924i
$760$	0.705723	+	0.848536i	0.0255993	+	0.0307796i
$761$	15.9677	−	6.61403i	0.578828	−	0.239758i	−0.0740081	−	0.997258i	$-0.523579\pi$
$761$	15.9677	−	6.61403i	0.578828	−	0.239758i	0.652836	+	0.757499i	$0.273579\pi$
$762$	−4.60460	−	7.36888i	−0.166807	−	0.266946i
$763$	28.1082	−	42.0668i	1.01758	−	1.52292i
$764$	0.181468	−	2.96704i	0.00656529	−	0.107344i
$765$	−0.0226173	−	0.00449886i	−0.000817731	−	0.000162657i
$766$	2.47260	+	2.62845i	0.0893386	+	0.0949696i
$767$	12.5340			0.452577
$768$	−14.4713	−	6.82503i	−0.522189	−	0.246277i
$769$	40.4017			1.45692			0.728461	−	0.685087i	$-0.240236\pi$
$769$	40.4017			1.45692			0.728461	+	0.685087i	$0.240236\pi$
$770$	−1.60715	−	1.70845i	−0.0579177	−	0.0615682i
$771$	−19.6818	−	3.91496i	−0.708823	−	0.140994i
$772$	−1.30163	+	21.2819i	−0.0468466	+	0.765952i
$773$	7.82931	−	11.7174i	0.281601	−	0.421445i	−0.663524	−	0.748155i	$-0.730940\pi$
$773$	7.82931	−	11.7174i	0.281601	−	0.421445i	0.945125	+	0.326710i	$0.105940\pi$
$774$	5.27265	+	8.43799i	0.189521	+	0.303297i
$775$	34.6206	−	14.3403i	1.24361	−	0.515119i
$776$	8.05801	+	9.68867i	0.289266	+	0.347803i
$777$	−17.8382	−	7.38883i	−0.639942	−	0.265073i
$778$	27.8380	−	4.65849i	0.998039	−	0.167015i
$779$	2.10659	+	10.5905i	0.0754765	+	0.379446i
$780$	0.0563636	−	0.214085i	0.00201814	−	0.00766548i
$781$	28.2033	+	42.2093i	1.00919	+	1.51037i
$782$	−0.390157	−	0.175752i	−0.0139520	−	0.00628489i
$783$	−3.99762	+	3.99762i	−0.142863	+	0.142863i
$784$	0.630498	−	0.492602i	0.0225178	−	0.0175929i
$785$	−0.730904	−	0.730904i	−0.0260871	−	0.0260871i
$786$	11.1673	+	29.4755i	0.398324	+	1.05136i
$787$	−27.7280	+	18.5273i	−0.988398	+	0.660427i	−0.940985	−	0.338449i	$-0.890098\pi$
$787$	−27.7280	+	18.5273i	−0.988398	+	0.660427i	−0.0474133	+	0.998875i	$0.515098\pi$
$788$	−14.1714	−	10.7761i	−0.504834	−	0.383884i
$789$	6.19444	−	1.23215i	0.220528	−	0.0438657i
$790$	1.47576	−	2.06894i	0.0525050	−	0.0736094i
$791$	13.5286	−	32.6609i	0.481021	−	1.16129i
$792$	−8.24157	−	15.1790i	−0.292851	−	0.539363i
$793$	1.15845	+	2.79675i	0.0411378	+	0.0993155i
$794$	12.0650	−	52.2593i	0.428170	−	1.85461i
$795$	0.317205	+	0.211949i	0.0112501	+	0.00751707i
$796$	−8.23773	−	23.9240i	−0.291978	−	0.847964i
$797$	8.27658	−	41.6092i	0.293171	−	1.47387i	−0.500612	−	0.865672i	$-0.666892\pi$
$797$	8.27658	−	41.6092i	0.293171	−	1.47387i	0.793784	−	0.608200i	$-0.208108\pi$
$798$	13.8094	+	0.421907i	0.488847	+	0.0149353i
$799$			2.53416i			0.0896522i
$800$	−14.6412	+	24.1281i	−0.517645	+	0.853059i
$801$			9.70788i			0.343011i
$802$	−0.946298	+	30.9732i	−0.0334149	+	1.09370i
$803$	−7.47013	+	37.5549i	−0.263615	+	1.32528i
$804$	0.770189	−	1.57913i	0.0271625	−	0.0556915i
$805$	0.308628	+	0.206219i	0.0108777	+	0.00726826i
$806$	10.9992	+	2.53935i	0.387429	+	0.0894448i
$807$	7.59302	+	18.3312i	0.267287	+	0.645288i
$808$	−11.5585	+	1.21487i	−0.406626	+	0.0427389i
$809$	−16.4962	+	39.8253i	−0.579975	+	1.40018i	0.312859	+	0.949800i	$0.398713\pi$
$809$	−16.4962	+	39.8253i	−0.579975	+	1.40018i	−0.892834	+	0.450385i	$0.851287\pi$
$810$	0.119917	+	0.0855360i	0.00421346	+	0.00300543i
$811$	−27.9489	+	5.55938i	−0.981419	+	0.195216i	−0.659626	−	0.751594i	$-0.729285\pi$
$811$	−27.9489	+	5.55938i	−0.981419	+	0.195216i	−0.321793	+	0.946810i	$0.604285\pi$
$812$	29.2156	−	3.97611i	1.02527	−	0.139534i
$813$	0.895273	−	0.598202i	0.0313986	−	0.0209799i
$814$	−59.7960	+	22.6547i	−2.09585	+	0.794048i
$815$	−1.44987	−	1.44987i	−0.0507868	−	0.0507868i
$816$	0.398618	+	0.790838i	0.0139544	+	0.0276849i
$817$	−18.6379	+	18.6379i	−0.652058	+	0.652058i
$818$	5.07916	−	11.2753i	0.177589	−	0.394233i
$819$	−1.53965	−	2.30425i	−0.0537996	−	0.0805169i
$820$	0.518653	−	0.302470i	0.0181121	−	0.0105627i
$821$	−4.44472	−	22.3451i	−0.155122	−	0.779850i	−0.977504	−	0.210915i	$-0.932356\pi$
$821$	−4.44472	−	22.3451i	−0.155122	−	0.779850i	0.822383	−	0.568935i	$-0.192644\pi$
$822$	0.261501	+	1.56266i	0.00912090	+	0.0545041i
$823$	−31.6855	−	13.1246i	−1.10449	−	0.457494i	−0.245452	−	0.969409i	$-0.578936\pi$
$823$	−31.6855	−	13.1246i	−1.10449	−	0.457494i	−0.859036	+	0.511915i	$0.828936\pi$
$824$	14.2233	+	7.48318i	0.495491	+	0.260689i
$825$	−28.1477	+	11.6592i	−0.979976	+	0.405920i
$826$	36.8851	−	23.0484i	1.28340	−	0.801956i
$827$	−16.4548	+	24.6264i	−0.572190	+	0.856343i	−0.998844	−	0.0480718i	$-0.984692\pi$
$827$	−16.4548	+	24.6264i	−0.572190	+	0.856343i	0.426654	+	0.904415i	$0.359692\pi$
$828$	1.81113	+	2.04711i	0.0629413	+	0.0711420i
$829$	−22.3595	−	4.44759i	−0.776579	−	0.154471i	−0.209139	−	0.977886i	$-0.567066\pi$
$829$	−22.3595	−	4.44759i	−0.776579	−	0.154471i	−0.567440	+	0.823415i	$0.692066\pi$
$830$	−0.931216	+	0.876002i	−0.0323230	+	0.0304065i
$831$	12.9173			0.448097
$832$	−7.81151	+	3.35612i	−0.270815	+	0.116353i
$833$	−0.0442873			−0.00153446
$834$	−0.453958	+	0.427042i	−0.0157193	+	0.0147873i
$835$	−2.01951	−	0.401706i	−0.0698882	−	0.0139016i
$836$	34.2685	−	30.3183i	1.18520	−	1.04858i
$837$	−4.17283	+	6.24509i	−0.144234	+	0.215862i
$838$	−27.3263	+	17.0754i	−0.943973	+	0.589860i
$839$	15.3615	−	6.36295i	0.530339	−	0.219673i	−0.101413	−	0.994844i	$-0.532336\pi$
$839$	15.3615	−	6.36295i	0.530339	−	0.219673i	0.631752	+	0.775171i	$0.282336\pi$
$840$	−0.227807	−	0.733654i	−0.00786009	−	0.0253135i
$841$	−2.73650	−	1.13350i	−0.0943620	−	0.0390860i
$842$	−1.92599	−	11.5092i	−0.0663740	−	0.396634i
$843$	1.44601	+	7.26959i	0.0498033	+	0.250378i
$844$	−26.8141	−	45.9787i	−0.922978	−	1.58265i
$845$	0.686896	+	1.02801i	0.0236299	+	0.0353647i
$846$	6.64824	−	14.7586i	0.228571	−	0.507410i
$847$	−48.4776	+	48.4776i	−1.66571	+	1.66571i
$848$	−1.08581	−	14.6109i	−0.0372870	−	0.501740i
$849$	−22.3667	−	22.3667i	−0.767624	−	0.767624i
$850$	1.46084	−	0.553464i	0.0501064	−	0.0189837i
$851$	8.41365	−	5.62182i	0.288416	−	0.192713i
$852$	2.24207	+	16.4742i	0.0768120	+	0.564398i
$853$	−33.1678	+	6.59749i	−1.13565	+	0.225894i	−0.726893	−	0.686751i	$-0.759036\pi$
$853$	−33.1678	+	6.59749i	−1.13565	+	0.225894i	−0.408753	+	0.912645i	$0.634036\pi$
$854$	8.55193	+	6.10002i	0.292641	+	0.208738i
$855$	−0.149324	+	0.360499i	−0.00510676	+	0.0123288i
$856$	−20.4216	+	25.2187i	−0.697996	+	0.861956i
$857$	−1.47939	−	3.57156i	−0.0505349	−	0.122002i	0.896596	−	0.442849i	$-0.146032\pi$
$857$	−1.47939	−	3.57156i	−0.0505349	−	0.122002i	−0.947131	+	0.320847i	$0.896032\pi$
$858$	−8.94270	−	2.06458i	−0.305299	−	0.0704835i
$859$	22.5607	+	15.0746i	0.769760	+	0.514337i	0.877346	−	0.479859i	$-0.159312\pi$
$859$	22.5607	+	15.0746i	0.769760	+	0.514337i	−0.107586	+	0.994196i	$0.534312\pi$
$860$	1.31727	+	0.642473i	0.0449185	+	0.0219081i
$861$	1.46631	−	7.37163i	0.0499716	−	0.251224i
$862$	−0.211392	+	6.91905i	−0.00720003	+	0.235664i
$863$		−	39.8997i		−	1.35820i	−0.734046	−	0.679100i	$-0.762370\pi$
$863$		−	39.8997i		−	1.35820i	0.734046	−	0.679100i	$-0.237630\pi$
$864$	−0.246766	−	5.65147i	−0.00839516	−	0.192267i
$865$			1.55467i			0.0528603i
$866$	−25.7780	−	0.787573i	−0.875972	−	0.0267628i
$867$	−3.30697	+	16.6253i	−0.112311	+	0.564624i
$868$	37.0378	−	12.7532i	1.25715	−	0.432872i
$869$	−87.6017	−	58.5336i	−2.97168	−	1.98561i
$870$	−0.187326	+	0.811402i	−0.00635096	+	0.0275091i
$871$	−0.357269	−	0.862523i	−0.0121056	−	0.0292255i
$872$	15.5856	−	52.6165i	0.527796	−	1.78182i
$873$	−1.70499	+	4.11622i	−0.0577053	+	0.139313i
$874$	−4.20468	+	5.89475i	−0.142225	+	0.199393i
$875$	−2.66095	+	0.529296i	−0.0899565	+	0.0178935i
$876$	−7.59080	+	9.98243i	−0.256469	+	0.337275i
$877$	18.5097	−	12.3678i	0.625027	−	0.417630i	−0.202321	−	0.979319i	$-0.564848\pi$
$877$	18.5097	−	12.3678i	0.625027	−	0.417630i	0.827348	+	0.561690i	$0.189848\pi$
$878$	−6.36427	−	16.7982i	−0.214784	−	0.566911i
$879$	−17.6238	−	17.6238i	−0.594437	−	0.594437i
$880$	−2.21431	−	1.25279i	−0.0746444	−	0.0422315i
$881$	−23.5971	+	23.5971i	−0.795008	+	0.795008i	−0.982304	−	0.187296i	$-0.940028\pi$
$881$	−23.5971	+	23.5971i	−0.795008	+	0.795008i	0.187296	+	0.982304i	$0.440028\pi$
$882$	0.257922	+	0.116185i	0.00868470	+	0.00391217i
$883$	−7.05633	−	10.5605i	−0.237464	−	0.355391i	0.693528	−	0.720430i	$-0.256056\pi$
$883$	−7.05633	−	10.5605i	−0.237464	−	0.355391i	−0.930992	+	0.365039i	$0.881056\pi$
$884$	0.455085	+	0.119813i	0.0153062	+	0.00402976i
$885$	0.239650	+	1.20480i	0.00805575	+	0.0404990i
$886$	15.0498	−	2.51848i	0.505608	−	0.0846100i
$887$	3.06036	+	1.26764i	0.102757	+	0.0425632i	0.433470	−	0.901168i	$-0.357289\pi$
$887$	3.06036	+	1.26764i	0.102757	+	0.0425632i	−0.330713	+	0.943731i	$0.607289\pi$
$888$	−20.8546	−	1.91623i	−0.699834	−	0.0643044i
$889$	−14.8025	+	6.13140i	−0.496460	+	0.205641i
$890$	0.757757	+	1.21266i	0.0254001	+	0.0406486i
$891$	3.39265	−	5.07746i	0.113658	−	0.170101i
$892$	53.0067	+	3.24196i	1.77480	+	0.108549i
$893$	42.0562	+	8.36550i	1.40736	+	0.279941i
$894$	−1.71722	−	1.82546i	−0.0574325	−	0.0610525i
$895$	−0.948095			−0.0316913
$896$	−16.8162	+	24.2407i	−0.561790	+	0.809825i
$897$	1.45239			0.0484940
$898$	26.8131	+	28.5031i	0.894764	+	0.951160i
$899$	−41.6469	−	8.28408i	−1.38900	−	0.276290i
$900$	−9.95969	−	0.609148i	−0.331990	−	0.0203049i
$901$	−0.450545	+	0.674289i	−0.0150098	+	0.0224638i
$902$	−13.1905	−	21.1092i	−0.439196	−	0.702859i
$903$	16.9501	−	7.02096i	0.564064	−	0.233643i
$904$	3.50852	−	38.1837i	0.116692	−	1.26997i
$905$	−0.290417	−	0.120295i	−0.00965378	−	0.00399873i
$906$	12.0544	−	2.01722i	0.400480	−	0.0670177i
$907$	−1.22186	−	6.14273i	−0.0405713	−	0.203966i	0.955183	−	0.296016i	$-0.0956581\pi$
$907$	−1.22186	−	6.14273i	−0.0405713	−	0.203966i	−0.995754	+	0.0920498i	$0.970658\pi$
$908$	32.6513	+	8.59632i	1.08357	+	0.285279i
$909$	−2.28287	−	3.41655i	−0.0757180	−	0.113320i
$910$	−0.372186	−	0.167657i	−0.0123378	−	0.00555778i
$911$	35.7218	−	35.7218i	1.18352	−	1.18352i	0.204691	−	0.978827i	$-0.434381\pi$
$911$	35.7218	−	35.7218i	1.18352	−	1.18352i	0.978827	−	0.204691i	$-0.0656189\pi$
$912$	14.4404	−	4.00471i	0.478169	−	0.132609i
$913$	37.4790	+	37.4790i	1.24038	+	1.24038i
$914$	−2.83443	−	7.48133i	−0.0937545	−	0.247460i
$915$	−0.246681	+	0.164827i	−0.00815503	+	0.00544902i
$916$	−24.0471	+	31.6237i	−0.794540	+	1.04488i
$917$	57.0031	−	11.3386i	1.88241	−	0.374435i
$918$	−0.181826	+	0.254911i	−0.00600114	+	0.00841331i
$919$	−14.6205	+	35.2971i	−0.482287	+	1.16434i	0.476233	+	0.879319i	$0.342002\pi$
$919$	−14.6205	+	35.2971i	−0.482287	+	1.16434i	−0.958520	+	0.285025i	$0.907998\pi$
$920$	0.386027	+	0.114346i	0.0127269	+	0.00376987i
$921$	4.93850	+	11.9226i	0.162729	+	0.392863i
$922$	7.53328	−	32.6303i	0.248095	−	1.07462i
$923$	7.34575	+	4.90827i	0.241788	+	0.161558i
$924$	−30.1130	+	10.3688i	−0.990645	+	0.341108i
$925$	−7.20684	+	36.2312i	−0.236959	+	1.19128i
$926$	−33.5251	−	1.02426i	−1.10170	−	0.0336594i
$927$			5.68220i			0.186628i
$928$	28.9846	−	13.5158i	0.951465	−	0.443679i
$929$		−	49.2122i		−	1.61460i	−0.590141	−	0.807300i	$-0.700928\pi$
$929$		−	49.2122i		−	1.61460i	0.590141	−	0.807300i	$-0.299072\pi$
$930$	−0.0337852	+	1.10582i	−0.00110786	+	0.0362613i
$931$	−0.146196	+	0.734979i	−0.00479140	+	0.0240880i
$932$	27.6200	+	13.4711i	0.904724	+	0.441262i
$933$	10.3618	+	6.92356i	0.339232	+	0.226667i
$934$	11.1480	+	2.57372i	0.364775	+	0.0842146i
$935$	0.0538899	+	0.130102i	0.00176239	+	0.00425478i
$936$	−2.33602	−	1.89167i	−0.0763553	−	0.0618311i
$937$	−2.72920	+	6.58886i	−0.0891590	+	0.215249i	−0.962169	−	0.272454i	$-0.912165\pi$
$937$	−2.72920	+	6.58886i	−0.0891590	+	0.215249i	0.873010	+	0.487702i	$0.162165\pi$
$938$	−2.63743	−	1.88126i	−0.0861152	−	0.0614253i
$939$	17.8062	−	3.54188i	0.581085	−	0.115585i
$940$	−0.321526	−	2.36251i	−0.0104870	−	0.0770564i
$941$	−15.6477	+	10.4555i	−0.510100	+	0.340838i	−0.783837	−	0.620967i	$-0.786740\pi$
$941$	−15.6477	+	10.4555i	−0.510100	+	0.340838i	0.273737	+	0.961805i	$0.411740\pi$
$942$	−13.1245	+	4.97245i	−0.427621	+	0.162011i
$943$	2.78533	+	2.78533i	0.0907028	+	0.0907028i
$944$	30.7945	−	35.7390i	1.00228	−	1.16321i
$945$	0.192052	−	0.192052i	0.00624745	−	0.00624745i
$946$	24.9553	−	55.3988i	0.811367	−	1.80117i
$947$	−1.90922	−	2.85736i	−0.0620415	−	0.0928516i	0.799152	−	0.601129i	$-0.205282\pi$
$947$	−1.90922	−	2.85736i	−0.0620415	−	0.0928516i	−0.861193	+	0.508278i	$0.830282\pi$
$948$	−17.3833	−	29.8075i	−0.564583	−	0.968104i
$949$	1.30004	+	6.53574i	0.0422010	+	0.212159i
$950$	−4.36276	−	26.0707i	−0.141547	−	0.845846i
$951$	−17.9431	−	7.43229i	−0.581846	−	0.241008i
$952$	1.55954	−	0.484254i	0.0505451	−	0.0156948i
$953$	32.7167	−	13.5517i	1.05980	−	0.438983i	0.216419	−	0.976301i	$-0.430562\pi$
$953$	32.7167	−	13.5517i	1.05980	−	0.438983i	0.843380	+	0.537318i	$0.180562\pi$
$954$	4.39287	−	2.74497i	0.142224	−	0.0888718i
$955$	0.0860050	−	0.128716i	0.00278305	−	0.00416514i
$956$	2.51618	−	2.22614i	0.0813792	−	0.0719984i
$957$	33.8603	+	6.73524i	1.09455	+	0.217719i
$958$	25.9437	−	24.4054i	0.838201	−	0.788502i
$959$	2.92147			0.0943391
$960$	−0.471955	−	0.686694i	−0.0152323	−	0.0221629i
$961$	−25.4136			−0.819795
$962$	−8.10548	+	7.62488i	−0.261331	+	0.245836i
$963$	−11.2525	−	2.23826i	−0.362606	−	0.0721268i
$964$	−22.1591	−	25.0462i	−0.713696	−	0.806685i
$965$	−0.616893	+	0.923246i	−0.0198585	+	0.0297203i
$966$	4.27410	−	2.67076i	0.137517	−	0.0859302i
$967$	1.86239	−	0.771426i	0.0598904	−	0.0248074i	−0.352537	−	0.935798i	$-0.614681\pi$
$967$	1.86239	−	0.771426i	0.0598904	−	0.0248074i	0.412428	+	0.910990i	$0.364681\pi$
$968$	−34.6237	+	65.8090i	−1.11285	+	2.11518i
$969$	−0.766321	−	0.317421i	−0.0246178	−	0.0101970i
$970$	0.108315	+	0.647263i	0.00347779	+	0.0207824i
$971$	−4.25023	−	21.3674i	−0.136396	−	0.685712i	−0.987105	−	0.160074i	$-0.948827\pi$
$971$	−4.25023	−	21.3674i	−0.136396	−	0.685712i	0.850709	−	0.525638i	$-0.176173\pi$
$972$	1.72767	−	1.00755i	0.0554150	−	0.0323172i
$973$	0.638471	+	0.955540i	0.0204684	+	0.0306332i
$974$	−16.9283	+	37.5795i	−0.542418	+	1.20413i
$975$	−3.74922	+	3.74922i	−0.120071	+	0.120071i
$976$	10.8207	+	3.56810i	0.346362	+	0.114212i
$977$	17.9709	+	17.9709i	0.574939	+	0.574939i	0.933505	−	0.358565i	$-0.116734\pi$
$977$	17.9709	+	17.9709i	0.574939	+	0.574939i	−0.358565	+	0.933505i	$0.616734\pi$
$978$	−26.0347	+	9.86370i	−0.832499	+	0.315406i
$979$	49.2914	−	32.9355i	1.57536	−	1.05262i
$980$	0.0412874	−	0.00561902i	0.00131888	−	0.000179493i
$981$	19.0289	−	3.78509i	0.607546	−	0.120848i
$982$	−25.8166	−	18.4148i	−0.823840	−	0.587638i
$983$	0.843835	−	2.03720i	0.0269142	−	0.0649765i	−0.909851	−	0.414935i	$-0.863804\pi$
$983$	0.843835	−	2.03720i	0.0269142	−	0.0649765i	0.936765	+	0.349958i	$0.113804\pi$
$984$	−0.852164	−	8.10765i	−0.0271660	−	0.258462i
$985$	−0.354803	−	0.856570i	−0.0113050	−	0.0272926i
$986$	−1.72482	−	0.398204i	−0.0549293	−	0.0126814i
$987$	−24.8169	−	16.5821i	−0.789931	−	0.527815i
$988$	3.49067	−	7.15695i	0.111053	−	0.227693i
$989$	−1.87584	+	9.43046i	−0.0596481	+	0.299871i
$990$	0.0274685	−	0.899070i	0.000873006	−	0.0285743i
$991$			8.60975i			0.273498i	0.990606	+	0.136749i	$0.0436653\pi$
$991$			8.60975i			0.273498i	−0.990606	+	0.136749i	$0.956335\pi$
$992$	34.2642	−	25.1237i	1.08789	−	0.797679i
$993$			10.5799i			0.335742i
$994$	30.6427	+	0.936199i	0.971927	+	0.0296944i
$995$	0.257069	−	1.29237i	0.00814964	−	0.0409710i
$996$	5.65166	+	16.4136i	0.179080	+	0.520083i
$997$	−25.5462	−	17.0695i	−0.809058	−	0.540595i	0.0808551	−	0.996726i	$-0.474235\pi$
$997$	−25.5462	−	17.0695i	−0.809058	−	0.540595i	−0.889913	+	0.456131i	$0.849235\pi$
$998$	−4.17252	+	18.0732i	−0.132079	+	0.572098i
$999$	−2.83349	−	6.84066i	−0.0896477	−	0.216429i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.r.a.157.4	✓	128
3.2	odd	2		576.2.bd.b.541.13		128
4.3	odd	2		768.2.r.a.721.13		128
64.11	odd	16		768.2.r.a.49.13		128
64.53	even	16	inner	192.2.r.a.181.4	yes	128
192.53	odd	16		576.2.bd.b.181.13		128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.r.a.157.4	✓	128	1.1	even	1	trivial
192.2.r.a.181.4	yes	128	64.53	even	16	inner
576.2.bd.b.181.13		128	192.53	odd	16
576.2.bd.b.541.13		128	3.2	odd	2
768.2.r.a.49.13		128	64.11	odd	16
768.2.r.a.721.13		128	4.3	odd	2

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:	\( N \)	\(=\)	\( 192 = 2^{6} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	192.r (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.968996 - 1.03007i) q^{2} +(-0.980785 - 0.195090i) q^{3} +(-0.122095 + 1.99627i) q^{4} +(-0.0578655 + 0.0866018i) q^{5} +(0.749420 + 1.19932i) q^{6} +(2.40918 - 0.997914i) q^{7} +(2.17461 - 1.80861i) q^{8} +(0.923880 + 0.382683i) q^{9} +O(q^{10})\)	\(q+(-0.968996 - 1.03007i) q^{2} +(-0.980785 - 0.195090i) q^{3} +(-0.122095 + 1.99627i) q^{4} +(-0.0578655 + 0.0866018i) q^{5} +(0.749420 + 1.19932i) q^{6} +(2.40918 - 0.997914i) q^{7} +(2.17461 - 1.80861i) q^{8} +(0.923880 + 0.382683i) q^{9} +(0.145277 - 0.0243112i) q^{10} +(-1.19134 - 5.98928i) q^{11} +(0.509201 - 1.93409i) q^{12} +(-0.590429 - 0.883640i) q^{13} +(-3.36241 - 1.51465i) q^{14} +(0.0736488 - 0.0736488i) q^{15} +(-3.97019 - 0.487467i) q^{16} +(0.156557 + 0.156557i) q^{17} +(-0.501044 - 1.32248i) q^{18} +(3.11498 - 2.08136i) q^{19} +(-0.165815 - 0.126089i) q^{20} +(-2.55757 + 0.508732i) q^{21} +(-5.01498 + 7.03075i) q^{22} +(0.522992 - 1.26261i) q^{23} +(-2.48567 + 1.34961i) q^{24} +(1.90927 + 4.60938i) q^{25} +(-0.338089 + 1.46443i) q^{26} +(-0.831470 - 0.555570i) q^{27} +(1.69796 + 4.93121i) q^{28} +(1.10294 - 5.54486i) q^{29} +(-0.147229 - 0.00449815i) q^{30} -7.51090i q^{31} +(3.34497 + 4.56193i) q^{32} +6.10661i q^{33} +(0.00956183 - 0.312967i) q^{34} +(-0.0529870 + 0.266384i) q^{35} +(-0.876740 + 1.79759i) q^{36} +(6.15643 + 4.11359i) q^{37} +(-5.16235 - 1.19182i) q^{38} +(0.406695 + 0.981848i) q^{39} +(0.0307941 + 0.292981i) q^{40} +(-1.10300 + 2.66288i) q^{41} +(3.00230 + 2.14152i) q^{42} +(-6.90045 + 1.37259i) q^{43} +(12.1017 - 1.64698i) q^{44} +(-0.0866018 + 0.0578655i) q^{45} +(-1.80736 + 0.684749i) q^{46} +(8.09343 + 8.09343i) q^{47} +(3.79880 + 1.25265i) q^{48} +(-0.141442 + 0.141442i) q^{49} +(2.89792 - 6.43314i) q^{50} +(-0.123006 - 0.184091i) q^{51} +(1.83607 - 1.07077i) q^{52} +(0.714576 + 3.59242i) q^{53} +(0.233413 + 1.39482i) q^{54} +(0.587620 + 0.243400i) q^{55} +(3.43418 - 6.52734i) q^{56} +(-3.46118 + 1.43367i) q^{57} +(-6.78035 + 4.23684i) q^{58} +(-6.55240 + 9.80637i) q^{59} +(0.138031 + 0.156015i) q^{60} +(-2.79372 - 0.555706i) q^{61} +(-7.73677 + 7.27803i) q^{62} +2.60768 q^{63} +(1.45785 - 7.86604i) q^{64} +0.110690 q^{65} +(6.29025 - 5.91728i) q^{66} +(0.861590 + 0.171381i) q^{67} +(-0.331644 + 0.293415i) q^{68} +(-0.759267 + 1.13632i) q^{69} +(0.325739 - 0.203544i) q^{70} +(-7.68026 + 3.18127i) q^{71} +(2.70120 - 0.838751i) q^{72} +(-5.79305 - 2.39956i) q^{73} +(-1.72826 - 10.3276i) q^{74} +(-0.973335 - 4.89329i) q^{75} +(3.77464 + 6.47246i) q^{76} +(-8.84694 - 13.2404i) q^{77} +(0.617288 - 1.37033i) q^{78} +(12.1997 - 12.1997i) q^{79} +(0.271952 - 0.315618i) q^{80} +(0.707107 + 0.707107i) q^{81} +(3.81176 - 1.44415i) q^{82} +(-7.21688 + 4.82216i) q^{83} +(-0.703301 - 5.16771i) q^{84} +(-0.0226173 + 0.00449886i) q^{85} +(8.10037 + 5.77793i) q^{86} +(-2.16350 + 5.22315i) q^{87} +(-13.4230 - 10.8697i) q^{88} +(3.71504 + 8.96891i) q^{89} +(0.143522 + 0.0331346i) q^{90} +(-2.30425 - 1.53965i) q^{91} +(2.45667 + 1.19819i) q^{92} +(-1.46530 + 7.36658i) q^{93} +(0.494313 - 16.1793i) q^{94} +0.390202i q^{95} +(-2.39071 - 5.12684i) q^{96} +4.45536i q^{97} +(0.282751 + 0.00863866i) q^{98} +(1.19134 - 5.98928i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q+O(q^{10}) \) 128 * q	\( 128 q - 16 q^{22} - 80 q^{26} - 80 q^{28} - 80 q^{32} - 80 q^{34} - 80 q^{38} - 80 q^{40} - 16 q^{44} + 48 q^{50} - 32 q^{51} + 48 q^{52} + 16 q^{54} - 64 q^{55} + 112 q^{56} - 128 q^{59} + 96 q^{60} + 96 q^{62} - 32 q^{63} + 96 q^{64} + 96 q^{66} - 32 q^{67} + 96 q^{68} + 96 q^{70} - 128 q^{71} + 112 q^{74} - 64 q^{75} + 16 q^{76} + 48 q^{78} - 32 q^{79} + 48 q^{80} - 80 q^{82} - 80 q^{88} - 96 q^{94}+O(q^{100}) \) 128 * q - 16 * q^22 - 80 * q^26 - 80 * q^28 - 80 * q^32 - 80 * q^34 - 80 * q^38 - 80 * q^40 - 16 * q^44 + 48 * q^50 - 32 * q^51 + 48 * q^52 + 16 * q^54 - 64 * q^55 + 112 * q^56 - 128 * q^59 + 96 * q^60 + 96 * q^62 - 32 * q^63 + 96 * q^64 + 96 * q^66 - 32 * q^67 + 96 * q^68 + 96 * q^70 - 128 * q^71 + 112 * q^74 - 64 * q^75 + 16 * q^76 + 48 * q^78 - 32 * q^79 + 48 * q^80 - 80 * q^82 - 80 * q^88 - 96 * q^94

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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