LMFDB - Embedded newform 192.2.r.a.181.4

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			181.4
Character	$\chi$	$=$	192.181
Dual form			192.2.r.a.157.4

$q$-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 $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$1$	$1$	$e\left(\frac{5}{16}\right)$

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	0.818305	−	0.574784i	$-0.194914\pi$
$5$	−0.0578655	−	0.0866018i	−0.0258782	−	0.0387295i	−0.844183	+	0.536055i	$0.819914\pi$
$6$	0.749420	−	1.19932i	0.305949	−	0.489621i
$7$	2.40918	+	0.997914i	0.910584	+	0.377176i	0.788280	−	0.615317i	$-0.210972\pi$
$7$	2.40918	+	0.997914i	0.910584	+	0.377176i	0.122304	+	0.992493i	$0.460972\pi$
$8$	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	0.203386	+	0.979099i	$0.434805\pi$
$11$	−1.19134	+	5.98928i	−0.359203	+	1.80584i	−0.562589	+	0.826737i	$0.690195\pi$
$12$	0.509201	+	1.93409i	0.146994	+	0.558324i
$13$	−0.590429	+	0.883640i	−0.163756	+	0.245078i	−0.904268	−	0.426965i	$-0.859583\pi$
$13$	−0.590429	+	0.883640i	−0.163756	+	0.245078i	0.740513	+	0.672042i	$0.234583\pi$
$14$	−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	−0.687867	−	0.725837i	$-0.741453\pi$
$17$	0.156557	−	0.156557i	0.0379706	−	0.0379706i	0.725837	+	0.687867i	$0.241453\pi$
$18$	−0.501044	+	1.32248i	−0.118097	+	0.311712i
$19$	3.11498	+	2.08136i	0.714625	+	0.477497i	0.858967	−	0.512031i	$-0.171107\pi$
$19$	3.11498	+	2.08136i	0.714625	+	0.477497i	−0.144342	+	0.989528i	$0.546107\pi$
$20$	−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	0.968979	−	0.247142i	$-0.0794915\pi$
$23$	0.522992	+	1.26261i	0.109051	+	0.263273i	−0.859928	+	0.510416i	$0.829492\pi$
$24$	−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	0.937206	+	0.348775i	$0.113402\pi$
$29$	1.10294	+	5.54486i	0.204811	+	1.02965i	−0.732395	+	0.680880i	$0.761598\pi$
$30$	−0.147229	+	0.00449815i	−0.0268802	+	0.000821247i
$31$			7.51090i			1.34900i	0.738276	+	0.674499i	$0.235640\pi$
$31$			7.51090i			1.34900i	−0.738276	+	0.674499i	$0.764360\pi$
$32$	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	0.0652347	−	0.997870i	$-0.479220\pi$
$37$	6.15643	−	4.11359i	1.01211	−	0.676271i	0.946876	+	0.321599i	$0.104220\pi$
$38$	−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	0.814046	−	0.580801i	$-0.197260\pi$
$41$	−1.10300	−	2.66288i	−0.172260	−	0.415872i	−0.986305	+	0.164929i	$0.947260\pi$
$42$	3.00230	−	2.14152i	0.463266	−	0.330444i
$43$	−6.90045	−	1.37259i	−1.05231	−	0.209317i	−0.361513	−	0.932367i	$-0.617740\pi$
$43$	−6.90045	−	1.37259i	−1.05231	−	0.209317i	−0.690796	+	0.723050i	$0.742740\pi$
$44$	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	0.200946	−	0.979602i	$-0.435598\pi$
$47$	8.09343	−	8.09343i	1.18055	−	1.18055i	0.979602	−	0.200946i	$-0.0644015\pi$
$48$	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	−0.900167	−	0.435545i	$-0.856556\pi$
$53$	0.714576	−	3.59242i	0.0981546	−	0.493456i	0.998322	−	0.0579118i	$-0.0184442\pi$
$54$	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	−0.959314	−	0.282342i	$-0.908889\pi$
$59$	−6.55240	−	9.80637i	−0.853050	−	1.27668i	0.106263	−	0.994338i	$-0.466111\pi$
$60$	0.138031	−	0.156015i	0.0178197	−	0.0201414i
$61$	−2.79372	+	0.555706i	−0.357699	+	0.0711508i	−0.370669	−	0.928765i	$-0.620872\pi$
$61$	−2.79372	+	0.555706i	−0.357699	+	0.0711508i	0.0129695	+	0.999916i	$0.495872\pi$
$62$	−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	−0.142179	−	0.989841i	$-0.545411\pi$
$67$	0.861590	−	0.171381i	0.105260	−	0.0209375i	0.247439	+	0.968903i	$0.420411\pi$
$68$	−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	−0.122857	−	0.992424i	$-0.539206\pi$
$71$	−7.68026	−	3.18127i	−0.911480	−	0.377547i	−0.788623	+	0.614877i	$0.789206\pi$
$72$	2.70120	+	0.838751i	0.318340	+	0.0988478i
$73$	−5.79305	+	2.39956i	−0.678025	+	0.280847i	−0.695001	−	0.719009i	$-0.744596\pi$
$73$	−5.79305	+	2.39956i	−0.678025	+	0.280847i	0.0169762	+	0.999856i	$0.494596\pi$
$74$	−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	0.856606	+	0.515972i	$0.172569\pi$
$79$	12.1997	+	12.1997i	1.37258	+	1.37258i	0.515972	+	0.856606i	$0.327431\pi$
$80$	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	0.0924083	−	0.995721i	$-0.470544\pi$
$83$	−7.21688	−	4.82216i	−0.792155	−	0.529301i	−0.884563	+	0.466420i	$0.845544\pi$
$84$	−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	−0.595312	−	0.803495i	$-0.702971\pi$
$89$	3.71504	−	8.96891i	0.393794	−	0.950703i	0.989106	−	0.147208i	$-0.0470286\pi$
$90$	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	$-0.927374\pi$
$97$		−	4.45536i		−	0.452373i	0.974084	−	0.226187i	$-0.0726259\pi$
$98$	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	−0.713817	−	0.700332i	$-0.753035\pi$
$101$	−3.41655	+	2.28287i	−0.339960	+	0.227154i	0.373857	+	0.927486i	$0.378035\pi$
$102$	−0.0704350	−	0.305088i	−0.00697411	−	0.0302083i
$103$	2.17448	−	5.24967i	0.214258	−	0.517265i	−0.779811	−	0.626015i	$-0.784685\pi$
$103$	2.17448	−	5.24967i	0.214258	−	0.517265i	0.994069	+	0.108750i	$0.0346848\pi$
$104$	−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	−0.381566	−	0.924342i	$-0.624615\pi$
$107$	−11.2525	−	2.23826i	−1.08782	−	0.216380i	−0.706251	+	0.707961i	$0.749615\pi$
$108$	1.21059	+	1.59201i	0.116489	+	0.153191i
$109$	16.1319	+	10.7790i	1.54516	+	1.03244i	0.977943	+	0.208873i	$0.0669796\pi$
$109$	16.1319	+	10.7790i	1.54516	+	1.03244i	0.567216	+	0.823569i	$0.308020\pi$
$110$	−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	0.995591	−	0.0938024i	$-0.0299022\pi$
$113$	9.58614	+	9.58614i	0.901788	+	0.901788i	−0.0938024	+	0.995591i	$0.529902\pi$
$114$	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	0.910463	−	0.413590i	$-0.135725\pi$
$131$	21.8598	−	4.34818i	1.90990	−	0.379902i	0.999432	+	0.0336880i	$0.0107253\pi$
$132$	−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	−0.338030	−	0.941135i	$-0.609760\pi$
$137$	1.03505	−	0.428733i	0.0884306	−	0.0366292i	0.426460	+	0.904506i	$0.359760\pi$
$138$	1.90622	+	0.318993i	0.162268	+	0.0271545i
$139$	0.0859774	−	0.432238i	0.00729251	−	0.0366619i	−0.976968	−	0.213387i	$-0.931550\pi$
$139$	0.0859774	−	0.432238i	0.00729251	−	0.0366619i	0.984260	+	0.176725i	$0.0565504\pi$
$140$	−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	0.123380	−	0.992360i	$-0.460627\pi$
$149$	−1.73812	−	0.345733i	−0.142392	−	0.0283235i	−0.265772	+	0.964036i	$0.585627\pi$
$150$	−4.09728	−	5.74418i	−0.334541	−	0.469010i
$151$	3.30725	+	7.98442i	0.269140	+	0.649763i	0.999443	−	0.0333609i	$-0.0106211\pi$
$151$	3.30725	+	7.98442i	0.269140	+	0.649763i	−0.730303	+	0.683123i	$0.760621\pi$
$152$	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	−0.977858	−	0.209268i	$-0.932892\pi$
$157$	−1.93611	−	9.73350i	−0.154519	−	0.776817i	0.823340	−	0.567549i	$-0.192108\pi$
$158$	−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	−0.775038	−	0.631915i	$-0.782269\pi$
$163$	−3.84061	−	19.3080i	−0.300819	−	1.51232i	0.474219	−	0.880407i	$-0.342731\pi$
$164$	−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	−0.302403	−	0.953180i	$-0.597789\pi$
$167$	7.56540	−	18.2645i	0.585429	−	1.41335i	0.887831	−	0.460169i	$-0.152211\pi$
$168$	−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	0.929265	−	0.369415i	$-0.120442\pi$
$173$	12.4109	+	8.29271i	0.943584	+	0.630483i	0.0143196	+	0.999897i	$0.495442\pi$
$174$	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	−0.592883	−	0.805289i	$-0.702010\pi$
$179$	5.05720	−	7.56864i	0.377993	−	0.565707i	0.970876	+	0.239582i	$0.0770104\pi$
$180$	−0.104941	+	0.179946i	−0.00782187	+	0.0134124i
$181$	0.588792	−	2.96005i	0.0437645	−	0.220019i	−0.952714	−	0.303869i	$-0.901722\pi$
$181$	0.588792	−	2.96005i	0.0437645	−	0.220019i	0.996478	+	0.0838497i	$0.0267215\pi$
$182$	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	0.612383	−	0.790561i	$-0.290211\pi$
$197$	−4.94545	−	7.40139i	−0.352349	−	0.527327i	−0.964732	+	0.263234i	$0.915211\pi$
$198$	−7.32379	−	4.57642i	−0.520479	−	0.325232i
$199$	−11.6882	−	4.84143i	−0.828558	−	0.343200i	−0.0722261	−	0.997388i	$-0.523010\pi$
$199$	−11.6882	−	4.84143i	−0.828558	−	0.343200i	−0.756332	+	0.654188i	$0.773010\pi$
$200$	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	−0.984482	−	0.175487i	$-0.943850\pi$
$211$	−22.1280	−	14.7855i	−1.52336	−	1.01787i	−0.538873	−	0.842387i	$-0.681150\pi$
$212$	−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	$0.348638\pi$
$223$			26.5529i			1.77811i	−0.457798	+	0.889056i	$0.651362\pi$
$224$	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	0.921708	+	0.387884i	$0.126794\pi$
$227$	3.29351	+	16.5576i	0.218598	+	1.09896i	−0.703111	+	0.711081i	$0.748206\pi$
$228$	−2.43940	+	7.08449i	−0.161553	+	0.469182i
$229$	16.5164	−	11.0359i	1.09143	−	0.729271i	0.126551	−	0.991960i	$-0.459609\pi$
$229$	16.5164	−	11.0359i	1.09143	−	0.729271i	0.964881	+	0.262689i	$0.0846093\pi$
$230$	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	0.990940	+	0.134306i	$0.0428805\pi$
$233$	5.87995	+	14.1954i	0.385208	+	0.929975i	−0.605732	+	0.795669i	$0.707120\pi$
$234$	−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	−0.744479	−	0.667646i	$-0.767302\pi$
$239$	−1.18780	+	1.18780i	−0.0768321	+	0.0768321i	0.667646	+	0.744479i	$0.267302\pi$
$240$	−0.328301	−	0.256498i	−0.0211917	−	0.0165569i
$241$	−11.8234	−	11.8234i	−0.761611	−	0.761611i	0.215003	−	0.976613i	$-0.431024\pi$
$241$	−11.8234	−	11.8234i	−0.761611	−	0.761611i	−0.976613	+	0.215003i	$0.931024\pi$
$242$	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	0.797927	−	0.602754i	$-0.205930\pi$
$251$	−1.01869	−	1.52458i	−0.0642991	−	0.0962303i	−0.862226	+	0.506524i	$0.830930\pi$
$252$	−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	0.195456	−	0.980712i	$-0.437381\pi$
$263$	−5.83503	−	2.41695i	−0.359804	−	0.149036i	−0.555260	+	0.831677i	$0.687381\pi$
$264$	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	0.326061	+	0.945349i	$0.394279\pi$
$269$	−11.0234	+	16.4976i	−0.672106	+	1.00588i	−0.998166	+	0.0605284i	$0.980721\pi$
$270$	−0.134300	+	0.0604978i	−0.00817326	+	0.00368178i
$271$	−0.761367	−	0.761367i	−0.0462497	−	0.0462497i	0.683604	−	0.729853i	$-0.260412\pi$
$271$	−0.761367	−	0.761367i	−0.0462497	−	0.0462497i	−0.729853	+	0.683604i	$0.760412\pi$
$272$	−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	−0.200805	−	0.979631i	$-0.564356\pi$
$277$	−12.6691	−	2.52005i	−0.761214	−	0.151415i	−0.560409	+	0.828216i	$0.689356\pi$
$278$	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	−0.985623	−	0.168961i	$-0.945959\pi$
$281$	−2.83645	+	6.84781i	−0.169209	+	0.408506i	0.816414	+	0.577467i	$0.195959\pi$
$282$	−3.64124	−	15.7720i	−0.216833	−	0.939209i
$283$	26.3005	−	17.5734i	1.56340	−	1.04463i	0.592375	−	0.805662i	$-0.298190\pi$
$283$	26.3005	−	17.5734i	1.56340	−	1.04463i	0.971027	−	0.238970i	$-0.0768097\pi$
$284$	−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	0.224472	−	0.974481i	$-0.427934\pi$
$293$	20.7234	−	13.8470i	1.21068	−	0.808948i	0.986204	+	0.165532i	$0.0529343\pi$
$294$	−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	−0.977631	−	0.210327i	$-0.932547\pi$
$307$	−7.16960	+	10.7301i	−0.409191	+	0.612397i	0.568440	+	0.822724i	$0.307547\pi$
$308$	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	−0.684434	−	0.729075i	$-0.739951\pi$
$311$	−11.5135	+	4.76903i	−0.652869	+	0.270427i	0.0315655	+	0.999502i	$0.489951\pi$
$312$	2.66018	−	1.39958i	0.150603	−	0.0792358i
$313$	−16.7731	−	6.94765i	−0.948072	−	0.392704i	−0.145566	−	0.989349i	$-0.546500\pi$
$313$	−16.7731	−	6.94765i	−0.948072	−	0.392704i	−0.802506	+	0.596644i	$0.796500\pi$
$314$	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	0.371411	−	0.928468i	$-0.378874\pi$
$317$	19.0483	−	3.78895i	1.06986	−	0.212808i	0.698449	+	0.715660i	$0.253874\pi$
$318$	−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	0.881686	+	0.471836i	$0.156408\pi$
$331$	−2.06403	+	10.3766i	−0.113449	+	0.570348i	−0.995136	+	0.0985127i	$0.968592\pi$
$332$	−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	−0.870018	−	0.493021i	$-0.835893\pi$
$337$	−6.92075	+	6.92075i	−0.376997	+	0.376997i	0.493021	+	0.870018i	$0.335893\pi$
$338$	−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	−0.902508	−	0.430673i	$-0.858276\pi$
$347$	−15.8336	+	10.5797i	−0.849994	+	0.567948i	0.0525147	+	0.998620i	$0.483276\pi$
$348$	−10.1627	+	4.95664i	−0.544775	+	0.265704i
$349$	−2.82461	−	14.2003i	−0.151198	−	0.760124i	−0.979752	−	0.200215i	$-0.935836\pi$
$349$	−2.82461	−	14.2003i	−0.151198	−	0.760124i	0.828554	−	0.559909i	$-0.189164\pi$
$350$	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	$-0.726626\pi$
$353$		−	28.4485i		−	1.51416i	0.653323	−	0.757080i	$-0.273374\pi$
$354$	−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	0.463449	+	0.886124i	$0.346612\pi$
$359$	−9.30015	+	22.4525i	−0.490843	+	1.18500i	−0.954292	+	0.298876i	$0.903388\pi$
$360$	−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	−0.674477	−	0.738295i	$-0.735631\pi$
$367$	1.22258	−	1.22258i	0.0638181	−	0.0638181i	0.738295	+	0.674477i	$0.235631\pi$
$368$	−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	−0.790447	−	0.612531i	$-0.790152\pi$
$373$	3.36506	−	16.9173i	0.174236	−	0.875944i	0.964683	−	0.263414i	$-0.0848484\pi$
$374$	−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	0.745519	−	0.666485i	$-0.232202\pi$
$379$	−3.02786	−	4.53151i	−0.155531	−	0.232768i	−0.901049	+	0.433717i	$0.857202\pi$
$380$	−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	0.436095	−	0.899901i	$-0.356361\pi$
$389$	−11.0881	−	16.5946i	−0.562191	−	0.841378i	−0.998286	+	0.0585224i	$0.981361\pi$
$390$	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	0.273444	−	0.961888i	$-0.411837\pi$
$397$	21.0699	−	31.5334i	1.05747	−	1.58262i	0.784026	−	0.620728i	$-0.213163\pi$
$398$	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	−0.978756	−	0.205030i	$-0.934271\pi$
$401$	−15.4938	+	15.4938i	−0.773725	+	0.773725i	0.205030	+	0.978756i	$0.434271\pi$
$402$	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	−0.819297	−	0.573369i	$-0.805636\pi$
$409$	3.34636	−	8.07883i	0.165467	−	0.399472i	0.984764	+	0.173897i	$0.0556360\pi$
$410$	−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	0.923425	+	0.383779i	$0.125378\pi$
$419$	4.44510	+	22.3470i	0.217158	+	1.09172i	−0.706267	+	0.707945i	$0.749622\pi$
$420$	0.488230	−	0.238125i	0.0238232	−	0.0116193i
$421$	6.86080	−	4.58424i	0.334375	−	0.223422i	−0.377036	−	0.926199i	$-0.623057\pi$
$421$	6.86080	−	4.58424i	0.334375	−	0.223422i	0.711411	+	0.702777i	$0.248057\pi$
$422$	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	−0.785535	−	0.618818i	$-0.787612\pi$
$431$	−3.46114	+	3.46114i	−0.166717	+	0.166717i	0.618818	+	0.785535i	$0.287612\pi$
$432$	3.03027	−	2.61103i	0.145794	−	0.125623i
$433$	12.8950	+	12.8950i	0.619694	+	0.619694i	0.945453	−	0.325759i	$-0.105620\pi$
$433$	12.8950	+	12.8950i	0.619694	+	0.619694i	−0.325759	+	0.945453i	$0.605620\pi$
$434$	−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	−0.0846357	−	0.996412i	$-0.526973\pi$
$439$	11.7351	−	4.86085i	0.560087	−	0.231996i	0.644723	+	0.764416i	$0.276973\pi$
$440$	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	0.661289	−	0.750131i	$-0.270010\pi$
$443$	−5.99448	−	8.97138i	−0.284806	−	0.426243i	−0.946095	+	0.323888i	$0.895010\pi$
$444$	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	−0.257078	−	0.966391i	$-0.582760\pi$
$457$	5.22643	−	2.16486i	0.244482	−	0.101268i	0.501560	+	0.865123i	$0.332760\pi$
$458$	−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	−0.387256	−	0.921972i	$-0.626577\pi$
$461$	13.1559	−	19.6892i	0.612732	−	0.917018i	0.999988	+	0.00495411i	$0.00157695\pi$
$462$	9.24939	+	20.5329i	0.430321	+	0.955278i
$463$	16.7704	+	16.7704i	0.779386	+	0.779386i	0.979726	−	0.200340i	$-0.0642048\pi$
$463$	16.7704	+	16.7704i	0.779386	+	0.779386i	−0.200340	+	0.979726i	$0.564205\pi$
$464$	−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	0.390112	−	0.920767i	$-0.372436\pi$
$467$	−6.72675	−	4.49467i	−0.311277	−	0.207989i	−0.701389	+	0.712779i	$0.747436\pi$
$468$	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	$-0.804848\pi$
$479$		−	25.1863i		−	1.15079i	0.817876	−	0.575395i	$-0.195152\pi$
$480$	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	0.441115	+	0.897451i	$0.354583\pi$
$487$	−11.1531	+	26.9259i	−0.505394	+	1.22013i	−0.946509	+	0.322678i	$0.895417\pi$
$488$	−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	0.664525	−	0.747266i	$-0.268634\pi$
$491$	21.9923	+	4.37455i	0.992500	+	0.197420i	0.327975	+	0.944686i	$0.393634\pi$
$492$	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	−0.957933	−	0.286993i	$-0.907344\pi$
$499$	−7.28677	+	10.9054i	−0.326201	+	0.488194i	0.631732	+	0.775187i	$0.282344\pi$
$500$	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	−0.489674	−	0.871906i	$-0.662884\pi$
$503$	−4.92050	+	2.03814i	−0.219394	+	0.0908761i	0.270279	+	0.962782i	$0.412884\pi$
$504$	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	−0.159454	−	0.987205i	$-0.550973\pi$
$509$	1.60223	−	0.318703i	0.0710176	−	0.0141263i	0.230471	+	0.973079i	$0.425973\pi$
$510$	−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	−0.454711	−	0.890639i	$-0.650257\pi$
$521$	−3.34307	+	1.38474i	−0.146463	+	0.0606668i	0.308248	+	0.951306i	$0.400257\pi$
$522$	−7.88559	−	1.31960i	−0.345143	−	0.0577574i
$523$	3.40024	−	17.0942i	0.148682	−	0.747475i	−0.832445	−	0.554108i	$-0.813059\pi$
$523$	3.40024	−	17.0942i	0.148682	−	0.747475i	0.981127	−	0.193367i	$-0.0619407\pi$
$524$	−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	0.786741	+	0.617284i	$0.211767\pi$
$541$	6.88737	+	34.6252i	0.296111	+	1.48865i	−0.490629	+	0.871368i	$0.663233\pi$
$542$	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	0.964578	+	0.263799i	$0.0849754\pi$
$547$	4.07830	+	20.5030i	0.174375	+	0.876645i	−0.790202	+	0.612846i	$0.790025\pi$
$548$	−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	0.910658	−	0.413162i	$-0.135576\pi$
$557$	20.7083	+	13.8368i	0.877439	+	0.586286i	−0.0332184	+	0.999448i	$0.510576\pi$
$558$	−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	−0.872145	−	0.489248i	$-0.837271\pi$
$563$	−2.04967	+	3.06755i	−0.0863834	+	0.129282i	0.785761	+	0.618530i	$0.212271\pi$
$564$	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	0.825192	−	0.564853i	$-0.191067\pi$
$569$	24.0751	+	9.97222i	1.00928	+	0.418057i	0.184087	+	0.982910i	$0.441067\pi$
$570$	−0.467977	−	0.292425i	−0.0196014	−	0.0122483i
$571$	9.36593	+	14.0171i	0.391952	+	0.586598i	0.973998	−	0.226559i	$-0.0727475\pi$
$571$	9.36593	+	14.0171i	0.391952	+	0.586598i	−0.582046	+	0.813156i	$0.697747\pi$
$572$	−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	−0.965526	−	0.260306i	$-0.916177\pi$
$587$	0.632802	−	3.18131i	0.0261185	−	0.131307i	0.991645	+	0.128999i	$0.0411765\pi$
$588$	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	−0.937099	−	0.349063i	$-0.886500\pi$
$593$	−14.3196	+	14.3196i	−0.588036	+	0.588036i	0.349063	+	0.937099i	$0.386500\pi$
$594$	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	0.999984	−	0.00568061i	$-0.00180820\pi$
$599$	7.06998	+	17.0685i	0.288872	+	0.697398i	−0.711112	+	0.703079i	$0.751808\pi$
$600$	−10.9667	+	8.88060i	−0.447713	+	0.362549i
$601$	−12.9311	+	31.2185i	−0.527472	+	1.27343i	0.405703	+	0.914005i	$0.367027\pi$
$601$	−12.9311	+	31.2185i	−0.527472	+	1.27343i	−0.933174	+	0.359424i	$0.882973\pi$
$602$	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	$-0.791419\pi$
$607$		−	30.0269i		−	1.21875i	0.792880	−	0.609377i	$-0.208581\pi$
$608$	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	−0.463473	+	0.886111i	$0.653397\pi$
$613$	−36.1354	+	24.1449i	−1.45950	+	0.975204i	−0.996023	+	0.0890934i	$0.971603\pi$
$614$	−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	0.856090	−	0.516827i	$-0.172887\pi$
$617$	−2.84932	−	6.87887i	−0.114709	−	0.276933i	−0.970799	+	0.239895i	$0.922887\pi$
$618$	−4.66643	−	6.54211i	−0.187711	−	0.263162i
$619$	4.42427	+	0.880042i	0.177826	+	0.0353719i	0.283200	−	0.959061i	$-0.408604\pi$
$619$	4.42427	+	0.880042i	0.177826	+	0.0353719i	−0.105374	+	0.994433i	$0.533604\pi$
$620$	−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	0.274632	−	0.961549i	$-0.411444\pi$
$631$	28.8561	−	11.9526i	1.14874	−	0.475825i	0.874112	+	0.485724i	$0.161444\pi$
$632$	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	−0.557259	−	0.830338i	$-0.688147\pi$
$643$	−19.1282	+	3.80484i	−0.754343	+	0.150048i	−0.197084	+	0.980387i	$0.563147\pi$
$644$	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	0.305141	−	0.952307i	$-0.401296\pi$
$647$	−3.87838	−	1.60648i	−0.152475	−	0.0631571i	−0.457616	+	0.889150i	$0.651296\pi$
$648$	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	−0.981273	−	0.192624i	$-0.938300\pi$
$653$	−10.9318	+	16.3606i	−0.427794	+	0.640239i	0.553479	+	0.832863i	$0.313300\pi$
$654$	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	0.229325	−	0.973350i	$-0.426348\pi$
$659$	−14.9450	−	9.98593i	−0.582174	−	0.388997i	−0.811499	+	0.584353i	$0.801348\pi$
$660$	0.769975	+	1.01257i	0.0299712	+	0.0394143i
$661$	−23.5649	−	4.68735i	−0.916569	−	0.182317i	−0.285802	−	0.958289i	$-0.592260\pi$
$661$	−23.5649	−	4.68735i	−0.916569	−	0.182317i	−0.630768	+	0.775972i	$0.717260\pi$
$662$	−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	$-0.952082\pi$
$673$		−	7.78110i		−	0.299939i	0.988691	−	0.149970i	$-0.0479176\pi$
$674$	−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	−0.133657	−	0.991028i	$-0.542672\pi$
$677$	19.0145	−	12.7051i	0.730785	−	0.488295i	0.864442	+	0.502732i	$0.167672\pi$
$678$	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	−0.0415413	−	0.999137i	$-0.513227\pi$
$683$	−12.0812	−	2.40310i	−0.462274	−	0.0919519i	−0.420732	+	0.907185i	$0.638227\pi$
$684$	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	0.123771	+	0.992311i	$0.460501\pi$
$691$	−22.0907	+	33.0611i	−0.840370	+	1.25770i	−0.964141	+	0.265392i	$0.914499\pi$
$692$	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	−0.311924	−	0.950107i	$-0.600973\pi$
$701$	−6.26203	+	1.24560i	−0.236514	+	0.0470455i	0.0754101	+	0.997153i	$0.475973\pi$
$702$	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	0.840171	−	0.542321i	$-0.182454\pi$
$709$	0.468966	+	0.701857i	0.0176124	+	0.0263588i	−0.822559	+	0.568680i	$0.807454\pi$
$710$	−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	−0.884960	−	0.465667i	$-0.845815\pi$
$719$	−36.2159	−	36.2159i	−1.35063	−	1.35063i	−0.465667	−	0.884960i	$-0.654185\pi$
$720$	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	−0.957380	−	0.288831i	$-0.906733\pi$
$727$	−13.0674	−	31.5476i	−0.484645	−	1.17004i	0.472736	−	0.881204i	$-0.343267\pi$
$728$	−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	0.983046	−	0.183359i	$-0.0586971\pi$
$733$	0.126205	+	0.634474i	0.00466148	+	0.0234348i	−0.978385	+	0.206794i	$0.933697\pi$
$734$	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	−0.848846	−	0.528640i	$-0.822702\pi$
$739$	−7.25600	−	36.4784i	−0.266916	−	1.34188i	0.581930	−	0.813239i	$-0.302298\pi$
$740$	−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	−0.635802	−	0.771852i	$-0.719330\pi$
$743$	9.80090	−	23.6615i	0.359560	−	0.868055i	0.995362	−	0.0962025i	$-0.0306696\pi$
$744$	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	−0.313524	−	0.949580i	$-0.601510\pi$
$751$	17.4307	−	17.4307i	0.636056	−	0.636056i	0.949580	+	0.313524i	$0.101510\pi$
$752$	−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	0.453144	+	0.891437i	$0.350302\pi$
$757$	−8.43691	+	42.4152i	−0.306645	+	1.54161i	−0.759789	+	0.650170i	$0.774698\pi$
$758$	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	0.652836	−	0.757499i	$-0.273579\pi$
$761$	15.9677	+	6.61403i	0.578828	+	0.239758i	−0.0740081	+	0.997258i	$0.523579\pi$
$762$	−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	0.945125	−	0.326710i	$-0.105940\pi$
$773$	7.82931	+	11.7174i	0.281601	+	0.421445i	−0.663524	+	0.748155i	$0.730940\pi$
$774$	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	−0.0474133	−	0.998875i	$-0.515098\pi$
$787$	−27.7280	−	18.5273i	−0.988398	−	0.660427i	−0.940985	+	0.338449i	$0.890098\pi$
$788$	−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	0.793784	+	0.608200i	$0.208108\pi$
$797$	8.27658	+	41.6092i	0.293171	+	1.47387i	−0.500612	+	0.865672i	$0.666892\pi$
$798$	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	−0.892834	−	0.450385i	$-0.851287\pi$
$809$	−16.4962	−	39.8253i	−0.579975	−	1.40018i	0.312859	−	0.949800i	$-0.398713\pi$
$810$	0.119917	−	0.0855360i	0.00421346	−	0.00300543i
$811$	−27.9489	−	5.55938i	−0.981419	−	0.195216i	−0.321793	−	0.946810i	$-0.604285\pi$
$811$	−27.9489	−	5.55938i	−0.981419	−	0.195216i	−0.659626	+	0.751594i	$0.729285\pi$
$812$	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	0.822383	+	0.568935i	$0.192644\pi$
$821$	−4.44472	+	22.3451i	−0.155122	+	0.779850i	−0.977504	+	0.210915i	$0.932356\pi$
$822$	0.261501	−	1.56266i	0.00912090	−	0.0545041i
$823$	−31.6855	+	13.1246i	−1.10449	+	0.457494i	−0.859036	−	0.511915i	$-0.828936\pi$
$823$	−31.6855	+	13.1246i	−1.10449	+	0.457494i	−0.245452	+	0.969409i	$0.578936\pi$
$824$	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	0.426654	−	0.904415i	$-0.359692\pi$
$827$	−16.4548	−	24.6264i	−0.572190	−	0.856343i	−0.998844	+	0.0480718i	$0.984692\pi$
$828$	1.81113	−	2.04711i	0.0629413	−	0.0711420i
$829$	−22.3595	+	4.44759i	−0.776579	+	0.154471i	−0.567440	−	0.823415i	$-0.692066\pi$
$829$	−22.3595	+	4.44759i	−0.776579	+	0.154471i	−0.209139	+	0.977886i	$0.567066\pi$
$830$	−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	0.631752	−	0.775171i	$-0.282336\pi$
$839$	15.3615	+	6.36295i	0.530339	+	0.219673i	−0.101413	+	0.994844i	$0.532336\pi$
$840$	−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	−0.408753	−	0.912645i	$-0.634036\pi$
$853$	−33.1678	−	6.59749i	−1.13565	−	0.225894i	−0.726893	+	0.686751i	$0.759036\pi$
$854$	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	−0.947131	−	0.320847i	$-0.896032\pi$
$857$	−1.47939	+	3.57156i	−0.0505349	+	0.122002i	0.896596	+	0.442849i	$0.146032\pi$
$858$	−8.94270	+	2.06458i	−0.305299	+	0.0704835i
$859$	22.5607	−	15.0746i	0.769760	−	0.514337i	−0.107586	−	0.994196i	$-0.534312\pi$
$859$	22.5607	−	15.0746i	0.769760	−	0.514337i	0.877346	+	0.479859i	$0.159312\pi$
$860$	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	$0.237630\pi$
$863$			39.8997i			1.35820i	−0.734046	+	0.679100i	$0.762370\pi$
$864$	−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	0.827348	−	0.561690i	$-0.189848\pi$
$877$	18.5097	+	12.3678i	0.625027	+	0.417630i	−0.202321	+	0.979319i	$0.564848\pi$
$878$	−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	0.187296	−	0.982304i	$-0.440028\pi$
$881$	−23.5971	−	23.5971i	−0.795008	−	0.795008i	−0.982304	+	0.187296i	$0.940028\pi$
$882$	0.257922	−	0.116185i	0.00868470	−	0.00391217i
$883$	−7.05633	+	10.5605i	−0.237464	+	0.355391i	−0.930992	−	0.365039i	$-0.881056\pi$
$883$	−7.05633	+	10.5605i	−0.237464	+	0.355391i	0.693528	+	0.720430i	$0.256056\pi$
$884$	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	−0.330713	−	0.943731i	$-0.607289\pi$
$887$	3.06036	−	1.26764i	0.102757	−	0.0425632i	0.433470	+	0.901168i	$0.357289\pi$
$888$	−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	−0.995754	−	0.0920498i	$-0.970658\pi$
$907$	−1.22186	+	6.14273i	−0.0405713	+	0.203966i	0.955183	+	0.296016i	$0.0956581\pi$
$908$	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	0.978827	+	0.204691i	$0.0656189\pi$
$911$	35.7218	+	35.7218i	1.18352	+	1.18352i	0.204691	+	0.978827i	$0.434381\pi$
$912$	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	−0.958520	−	0.285025i	$-0.907998\pi$
$919$	−14.6205	−	35.2971i	−0.482287	−	1.16434i	0.476233	−	0.879319i	$-0.342002\pi$
$920$	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	$0.299072\pi$
$929$			49.2122i			1.61460i	−0.590141	+	0.807300i	$0.700928\pi$
$930$	−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	0.873010	−	0.487702i	$-0.162165\pi$
$937$	−2.72920	−	6.58886i	−0.0891590	−	0.215249i	−0.962169	+	0.272454i	$0.912165\pi$
$938$	−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	0.273737	−	0.961805i	$-0.411740\pi$
$941$	−15.6477	−	10.4555i	−0.510100	−	0.340838i	−0.783837	+	0.620967i	$0.786740\pi$
$942$	−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	−0.861193	−	0.508278i	$-0.830282\pi$
$947$	−1.90922	+	2.85736i	−0.0620415	+	0.0928516i	0.799152	+	0.601129i	$0.205282\pi$
$948$	−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	0.843380	−	0.537318i	$-0.180562\pi$
$953$	32.7167	+	13.5517i	1.05980	+	0.438983i	0.216419	+	0.976301i	$0.430562\pi$
$954$	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	0.412428	−	0.910990i	$-0.364681\pi$
$967$	1.86239	+	0.771426i	0.0598904	+	0.0248074i	−0.352537	+	0.935798i	$0.614681\pi$
$968$	−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	0.850709	+	0.525638i	$0.176173\pi$
$971$	−4.25023	+	21.3674i	−0.136396	+	0.685712i	−0.987105	+	0.160074i	$0.948827\pi$
$972$	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	−0.358565	−	0.933505i	$-0.616734\pi$
$977$	17.9709	−	17.9709i	0.574939	−	0.574939i	0.933505	+	0.358565i	$0.116734\pi$
$978$	−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	0.936765	−	0.349958i	$-0.113804\pi$
$983$	0.843835	+	2.03720i	0.0269142	+	0.0649765i	−0.909851	+	0.414935i	$0.863804\pi$
$984$	−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	$-0.956335\pi$
$991$		−	8.60975i		−	0.273498i	0.990606	−	0.136749i	$-0.0436653\pi$
$992$	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	−0.889913	−	0.456131i	$-0.849235\pi$
$997$	−25.5462	+	17.0695i	−0.809058	+	0.540595i	0.0808551	+	0.996726i	$0.474235\pi$
$998$	−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.181.4	yes	128
3.2	odd	2		576.2.bd.b.181.13		128
4.3	odd	2		768.2.r.a.49.13		128
64.29	even	16	inner	192.2.r.a.157.4	✓	128
64.35	odd	16		768.2.r.a.721.13		128
192.29	odd	16		576.2.bd.b.541.13		128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.r.a.157.4	✓	128	64.29	even	16	inner
192.2.r.a.181.4	yes	128	1.1	even	1	trivial
576.2.bd.b.181.13		128	3.2	odd	2
576.2.bd.b.541.13		128	192.29	odd	16
768.2.r.a.49.13		128	4.3	odd	2
768.2.r.a.721.13		128	64.35	odd	16

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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