LMFDB - Embedded newform 930.2.br.a.11.13

Newspace parameters

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.br (of order $30$, degree $8$, minimal)

Newform invariants

Self dual:	no
Analytic conductor:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$176$
Relative dimension:	$22$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			11.13
Character	$\chi$	$=$	930.11
Dual form			930.2.br.a.761.13

$q$-expansion

$f(q)$	$=$	$q+(0.951057 - 0.309017i) q^{2} +(-1.50746 + 0.852971i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-1.17010 + 1.27705i) q^{6} +(-0.0129897 - 0.123589i) q^{7} +(0.587785 - 0.809017i) q^{8} +(1.54488 - 2.57164i) q^{9} +O(q^{10})$	\(q+(0.951057 - 0.309017i) q^{2} +(-1.50746 + 0.852971i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-1.17010 + 1.27705i) q^{6} +(-0.0129897 - 0.123589i) q^{7} +(0.587785 - 0.809017i) q^{8} +(1.54488 - 2.57164i) q^{9} +(-0.669131 + 0.743145i) q^{10} +(1.53643 + 0.684064i) q^{11} +(-0.718198 + 1.57613i) q^{12} +(0.248847 + 1.17073i) q^{13} +(-0.0505449 - 0.113526i) q^{14} +(0.879014 - 1.49243i) q^{15} +(0.309017 - 0.951057i) q^{16} +(0.251322 - 0.111896i) q^{17} +(0.674588 - 2.92317i) q^{18} +(4.89527 + 1.04052i) q^{19} +(-0.406737 + 0.913545i) q^{20} +(0.124999 + 0.175225i) q^{21} +(1.67262 + 0.175800i) q^{22} +(-2.82606 - 2.05325i) q^{23} +(-0.195996 + 1.72093i) q^{24} +(0.500000 - 0.866025i) q^{25} +(0.598443 + 1.03653i) q^{26} +(-0.135312 + 5.19439i) q^{27} +(-0.0831524 - 0.0923502i) q^{28} +(2.71830 + 8.36606i) q^{29} +(0.374808 - 1.69101i) q^{30} +(3.31997 + 4.46965i) q^{31} -1.00000i q^{32} +(-2.89960 + 0.279333i) q^{33} +(0.204444 - 0.184082i) q^{34} +(0.0730437 + 0.100536i) q^{35} +(-0.261739 - 2.98856i) q^{36} +(8.89048 + 5.13292i) q^{37} +(4.97721 - 0.523126i) q^{38} +(-1.37373 - 1.55257i) q^{39} +(-0.104528 + 0.994522i) q^{40} +(4.07719 + 3.67112i) q^{41} +(0.173029 + 0.128022i) q^{42} +(0.901877 - 4.24300i) q^{43} +(1.64508 - 0.349673i) q^{44} +(-0.0520847 + 2.99955i) q^{45} +(-3.32223 - 1.07946i) q^{46} +(-2.81695 - 0.915281i) q^{47} +(0.345392 + 1.69726i) q^{48} +(6.83193 - 1.45217i) q^{49} +(0.207912 - 0.978148i) q^{50} +(-0.283415 + 0.383050i) q^{51} +(0.889460 + 0.800874i) q^{52} +(0.920365 - 8.75669i) q^{53} +(1.47647 + 4.98197i) q^{54} +(-1.67262 + 0.175800i) q^{55} +(-0.107620 - 0.0621347i) q^{56} +(-8.26696 + 2.60697i) q^{57} +(5.17051 + 7.11659i) q^{58} +(0.903708 - 0.813702i) q^{59} +(-0.166088 - 1.72407i) q^{60} +3.06126i q^{61} +(4.53868 + 3.22496i) q^{62} +(-0.337893 - 0.157525i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(-0.800874 - 0.889460i) q^{65} +(-2.67137 + 1.16169i) q^{66} +(3.27663 + 5.67529i) q^{67} +(0.137553 - 0.238249i) q^{68} +(6.01154 + 0.684652i) q^{69} +(0.100536 + 0.0730437i) q^{70} +(-15.0775 - 1.58471i) q^{71} +(-1.17244 - 2.76141i) q^{72} +(-2.31783 + 5.20592i) q^{73} +(10.0415 + 2.13439i) q^{74} +(-0.0150361 + 1.73199i) q^{75} +(4.57196 - 2.03557i) q^{76} +(0.0645848 - 0.198771i) q^{77} +(-1.78626 - 1.05208i) q^{78} +(3.84839 + 8.64362i) q^{79} +(0.207912 + 0.978148i) q^{80} +(-4.22669 - 7.94576i) q^{81} +(5.01207 + 2.23152i) q^{82} +(-3.69418 + 4.10280i) q^{83} +(0.204121 + 0.0682877i) q^{84} +(-0.161704 + 0.222566i) q^{85} +(-0.453423 - 4.31403i) q^{86} +(-11.2337 - 10.2929i) q^{87} +(1.45651 - 0.840918i) q^{88} +(7.19218 - 5.22542i) q^{89} +(0.877376 + 2.86883i) q^{90} +(0.141457 - 0.0459621i) q^{91} -3.49320 q^{92} +(-8.81722 - 3.90598i) q^{93} -2.96191 q^{94} +(-4.75968 + 1.54652i) q^{95} +(0.852971 + 1.50746i) q^{96} +(3.57622 - 2.59827i) q^{97} +(6.04880 - 3.49228i) q^{98} +(4.13277 - 2.89436i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 176q + 44q^{4} + 4q^{7} - 4q^{9} + O(q^{10}) $	$ 176q + 44q^{4} + 4q^{7} - 4q^{9} - 22q^{10} - 38q^{13} - 44q^{16} + 12q^{18} + 8q^{19} - 18q^{21} - 4q^{22} + 88q^{25} - 90q^{27} + 36q^{28} + 24q^{31} + 18q^{33} + 14q^{34} + 4q^{36} - 42q^{37} - 42q^{39} + 22q^{40} - 12q^{42} - 34q^{43} - 8q^{45} + 10q^{46} + 22q^{49} + 26q^{51} - 2q^{52} + 4q^{55} + 114q^{57} + 32q^{63} + 44q^{64} - 42q^{66} + 20q^{67} + 16q^{69} + 8q^{70} - 12q^{72} - 28q^{73} + 12q^{76} - 92q^{78} - 56q^{79} - 124q^{81} - 32q^{82} - 12q^{84} - 36q^{87} - 6q^{88} + 24q^{90} - 140q^{91} - 104q^{93} - 36q^{94} + 88q^{97} - 60q^{99} + O(q^{100}) $

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$1$	$-1$	$e\left(\frac{23}{30}\right)$

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 $

$2$	0.951057	−	0.309017i	0.672499	−	0.218508i
$2$	0.951057	−	0.309017i	0.672499	−	0.218508i
$3$	−1.50746	+	0.852971i	−0.870333	+	0.492463i
$3$	−1.50746	+	0.852971i	−0.870333	+	0.492463i
$4$	0.809017	−	0.587785i	0.404508	−	0.293893i
$5$	−0.866025	+	0.500000i	−0.387298	+	0.223607i
$5$	−0.866025	+	0.500000i	−0.387298	+	0.223607i
$6$	−1.17010	+	1.27705i	−0.477691	+	0.521356i
$7$	−0.0129897	−	0.123589i	−0.00490964	−	0.0467121i	0.991793	−	0.127856i	$-0.0408094\pi$
$7$	−0.0129897	−	0.123589i	−0.00490964	−	0.0467121i	−0.996702	+	0.0811436i	$0.974143\pi$
$8$	0.587785	−	0.809017i	0.207813	−	0.286031i
$9$	1.54488	−	2.57164i	0.514960	−	0.857214i
$10$	−0.669131	+	0.743145i	−0.211598	+	0.235003i
$11$	1.53643	+	0.684064i	0.463252	+	0.206253i	0.625072	−	0.780567i	$-0.285070\pi$
$11$	1.53643	+	0.684064i	0.463252	+	0.206253i	−0.161820	+	0.986820i	$0.551736\pi$
$12$	−0.718198	+	1.57613i	−0.207326	+	0.454990i
$13$	0.248847	+	1.17073i	0.0690177	+	0.324703i	0.999089	−	0.0426765i	$-0.0135885\pi$
$13$	0.248847	+	1.17073i	0.0690177	+	0.324703i	−0.930071	+	0.367379i	$0.880255\pi$
$14$	−0.0505449	−	0.113526i	−0.0135087	−	0.0303410i
$15$	0.879014	−	1.49243i	0.226961	−	0.385343i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	0.251322	−	0.111896i	0.0609547	−	0.0271388i	−0.376033	−	0.926606i	$-0.622712\pi$
$17$	0.251322	−	0.111896i	0.0609547	−	0.0271388i	0.436988	+	0.899468i	$0.356045\pi$
$18$	0.674588	−	2.92317i	0.159002	−	0.688998i
$19$	4.89527	+	1.04052i	1.12305	+	0.238712i	0.731765	−	0.681557i	$-0.238697\pi$
$19$	4.89527	+	1.04052i	1.12305	+	0.238712i	0.391286	+	0.920269i	$0.372030\pi$
$20$	−0.406737	+	0.913545i	−0.0909491	+	0.204275i
$21$	0.124999	+	0.175225i	0.0272770	+	0.0382373i
$22$	1.67262	+	0.175800i	0.356604	+	0.0374806i
$23$	−2.82606	−	2.05325i	−0.589274	−	0.428133i	0.252782	−	0.967523i	$-0.418655\pi$
$23$	−2.82606	−	2.05325i	−0.589274	−	0.428133i	−0.842056	+	0.539391i	$0.818655\pi$
$24$	−0.195996	+	1.72093i	−0.0400074	+	0.351283i
$25$	0.500000	−	0.866025i	0.100000	−	0.173205i
$26$	0.598443	+	1.03653i	0.117364	+	0.203281i
$27$	−0.135312	+	5.19439i	−0.0260407	+	0.999661i
$28$	−0.0831524	−	0.0923502i	−0.0157143	−	0.0174525i
$29$	2.71830	+	8.36606i	0.504775	+	1.55354i	0.801148	+	0.598466i	$0.204223\pi$
$29$	2.71830	+	8.36606i	0.504775	+	1.55354i	−0.296373	+	0.955072i	$0.595777\pi$
$30$	0.374808	−	1.69101i	0.0684302	−	0.308735i
$31$	3.31997	+	4.46965i	0.596285	+	0.802773i
$31$	3.31997	+	4.46965i	0.596285	+	0.802773i
$32$		−	1.00000i		−	0.176777i
$33$	−2.89960	+	0.279333i	−0.504756	+	0.0486256i
$34$	0.204444	−	0.184082i	0.0350619	−	0.0315699i
$35$	0.0730437	+	0.100536i	0.0123466	+	0.0169937i
$36$	−0.261739	−	2.98856i	−0.0436231	−	0.498093i
$37$	8.89048	+	5.13292i	1.46159	+	0.843847i	0.999085	−	0.0427714i	$-0.0136187\pi$
$37$	8.89048	+	5.13292i	1.46159	+	0.843847i	0.462501	+	0.886619i	$0.346952\pi$
$38$	4.97721	−	0.523126i	0.807410	−	0.0848623i
$39$	−1.37373	−	1.55257i	−0.219972	−	0.248611i
$40$	−0.104528	+	0.994522i	−0.0165274	+	0.157248i
$41$	4.07719	+	3.67112i	0.636750	+	0.573332i	0.922989	−	0.384826i	$-0.125739\pi$
$41$	4.07719	+	3.67112i	0.636750	+	0.573332i	−0.286239	+	0.958158i	$0.592405\pi$
$42$	0.173029	+	0.128022i	0.0266989	+	0.0197543i
$43$	0.901877	−	4.24300i	0.137535	−	0.647051i	−0.854327	−	0.519736i	$-0.826030\pi$
$43$	0.901877	−	4.24300i	0.137535	−	0.647051i	0.991862	−	0.127316i	$-0.0406362\pi$
$44$	1.64508	−	0.349673i	0.248006	−	0.0527152i
$45$	−0.0520847	+	2.99955i	−0.00776433	+	0.447146i
$46$	−3.32223	−	1.07946i	−0.489836	−	0.159157i
$47$	−2.81695	−	0.915281i	−0.410894	−	0.133507i	0.0962739	−	0.995355i	$-0.469308\pi$
$47$	−2.81695	−	0.915281i	−0.410894	−	0.133507i	−0.507168	+	0.861847i	$0.669308\pi$
$48$	0.345392	+	1.69726i	0.0498531	+	0.244979i
$49$	6.83193	−	1.45217i	0.975990	−	0.207453i
$50$	0.207912	−	0.978148i	0.0294032	−	0.138331i
$51$	−0.283415	+	0.383050i	−0.0396860	+	0.0536377i
$52$	0.889460	+	0.800874i	0.123346	+	0.111061i
$53$	0.920365	−	8.75669i	0.126422	−	1.20282i	−0.728861	−	0.684662i	$-0.759950\pi$
$53$	0.920365	−	8.75669i	0.126422	−	1.20282i	0.855283	−	0.518162i	$-0.173383\pi$
$54$	1.47647	+	4.98197i	0.200922	+	0.677961i
$55$	−1.67262	+	0.175800i	−0.225536	+	0.0237048i
$56$	−0.107620	−	0.0621347i	−0.0143814	−	0.00830310i
$57$	−8.26696	+	2.60697i	−1.09499	+	0.345302i
$58$	5.17051	+	7.11659i	0.678921	+	0.934455i
$59$	0.903708	−	0.813702i	0.117653	−	0.105935i	−0.608205	−	0.793780i	$-0.708110\pi$
$59$	0.903708	−	0.813702i	0.117653	−	0.105935i	0.725857	+	0.687845i	$0.241443\pi$
$60$	−0.166088	−	1.72407i	−0.0214419	−	0.222576i
$61$			3.06126i			0.391954i	0.980609	+	0.195977i	$0.0627878\pi$
$61$			3.06126i			0.391954i	−0.980609	+	0.195977i	$0.937212\pi$
$62$	4.53868	+	3.22496i	0.576413	+	0.409571i
$63$	−0.337893	−	0.157525i	−0.0425705	−	0.0198463i
$64$	−0.309017	−	0.951057i	−0.0386271	−	0.118882i
$65$	−0.800874	−	0.889460i	−0.0993361	−	0.110324i
$66$	−2.67137	+	1.16169i	−0.328822	+	0.142994i
$67$	3.27663	+	5.67529i	0.400304	+	0.693347i	0.993762	−	0.111518i	$-0.0355712\pi$
$67$	3.27663	+	5.67529i	0.400304	+	0.693347i	−0.593458	+	0.804865i	$0.702238\pi$
$68$	0.137553	−	0.238249i	0.0166808	−	0.0288920i
$69$	6.01154	+	0.684652i	0.723704	+	0.0824224i
$70$	0.100536	+	0.0730437i	0.0120164	+	0.00873039i
$71$	−15.0775	−	1.58471i	−1.78937	−	0.188071i	−0.849042	−	0.528326i	$-0.822820\pi$
$71$	−15.0775	−	1.58471i	−1.78937	−	0.188071i	−0.940333	+	0.340255i	$0.889487\pi$
$72$	−1.17244	−	2.76141i	−0.138174	−	0.325435i
$73$	−2.31783	+	5.20592i	−0.271281	+	0.609307i	−0.996890	−	0.0787997i	$-0.974891\pi$
$73$	−2.31783	+	5.20592i	−0.271281	+	0.609307i	0.725609	+	0.688107i	$0.241558\pi$
$74$	10.0415	+	2.13439i	1.16730	+	0.248118i
$75$	−0.0150361	+	1.73199i	−0.00173622	+	0.199992i
$76$	4.57196	−	2.03557i	0.524439	−	0.233495i
$77$	0.0645848	−	0.198771i	0.00736012	−	0.0226521i
$78$	−1.78626	−	1.05208i	−0.202255	−	0.119125i
$79$	3.84839	+	8.64362i	0.432977	+	0.972483i	0.989880	+	0.141905i	$0.0453229\pi$
$79$	3.84839	+	8.64362i	0.432977	+	0.972483i	−0.556903	+	0.830578i	$0.688010\pi$
$80$	0.207912	+	0.978148i	0.0232452	+	0.109360i
$81$	−4.22669	−	7.94576i	−0.469632	−	0.882862i
$82$	5.01207	+	2.23152i	0.553491	+	0.246430i
$83$	−3.69418	+	4.10280i	−0.405489	+	0.450341i	−0.910955	−	0.412505i	$-0.864654\pi$
$83$	−3.69418	+	4.10280i	−0.405489	+	0.450341i	0.505466	+	0.862846i	$0.331321\pi$
$84$	0.204121	+	0.0682877i	0.0222714	+	0.00745080i
$85$	−0.161704	+	0.222566i	−0.0175392	+	0.0241407i
$86$	−0.453423	−	4.31403i	−0.0488938	−	0.465194i
$87$	−11.2337	−	10.2929i	−1.20438	−	1.10351i
$88$	1.45651	−	0.840918i	0.155265	−	0.0896421i
$89$	7.19218	−	5.22542i	0.762369	−	0.553894i	−0.137267	−	0.990534i	$-0.543832\pi$
$89$	7.19218	−	5.22542i	0.762369	−	0.553894i	0.899636	+	0.436640i	$0.143832\pi$
$90$	0.877376	+	2.86883i	0.0924835	+	0.302402i
$91$	0.141457	−	0.0459621i	0.0148287	−	0.00481813i
$92$	−3.49320			−0.364191
$93$	−8.81722	−	3.90598i	−0.914303	−	0.405032i
$94$	−2.96191			−0.305498
$95$	−4.75968	+	1.54652i	−0.488333	+	0.158669i
$96$	0.852971	+	1.50746i	0.0870560	+	0.153855i
$97$	3.57622	−	2.59827i	0.363110	−	0.263815i	−0.391238	−	0.920289i	$-0.627953\pi$
$97$	3.57622	−	2.59827i	0.363110	−	0.263815i	0.754348	+	0.656475i	$0.227953\pi$
$98$	6.04880	−	3.49228i	0.611021	−	0.352773i
$99$	4.13277	−	2.89436i	0.415359	−	0.290894i
$100$	−0.104528	−	0.994522i	−0.0104528	−	0.0994522i
$101$	4.55186	−	6.26510i	0.452927	−	0.623400i	−0.520096	−	0.854108i	$-0.674104\pi$
$101$	4.55186	−	6.26510i	0.452927	−	0.623400i	0.973023	+	0.230707i	$0.0741040\pi$
$102$	−0.151175	+	0.451882i	−0.0149685	+	0.0447430i
$103$	−6.85675	+	7.61520i	−0.675616	+	0.750348i	−0.979298	−	0.202426i	$-0.935117\pi$
$103$	−6.85675	+	7.61520i	−0.675616	+	0.750348i	0.303682	+	0.952774i	$0.401784\pi$
$104$	1.09341	+	0.486818i	0.107218	+	0.0477364i
$105$	−0.195865	−	0.0892500i	−0.0191145	−	0.00870991i
$106$	−1.83065	−	8.61251i	−0.177808	−	0.836521i
$107$	−6.40126	−	14.3775i	−0.618833	−	1.38992i	−0.902371	−	0.430961i	$-0.858175\pi$
$107$	−6.40126	−	14.3775i	−0.618833	−	1.38992i	0.283537	−	0.958961i	$-0.408492\pi$
$108$	2.94372	+	4.28188i	0.283259	+	0.412024i
$109$	5.38767	−	16.5815i	0.516045	−	1.58822i	−0.265326	−	0.964159i	$-0.585480\pi$
$109$	5.38767	−	16.5815i	0.516045	−	1.58822i	0.781372	−	0.624066i	$-0.214520\pi$
$110$	−1.53643	+	0.684064i	−0.146493	+	0.0652230i
$111$	−17.7803	−	0.154359i	−1.68763	−	0.0146511i
$112$	−0.121554	−	0.0258371i	−0.0114858	−	0.00244137i
$113$	1.06107	−	2.38320i	0.0998169	−	0.224192i	−0.856734	−	0.515759i	$-0.827510\pi$
$113$	1.06107	−	2.38320i	0.0998169	−	0.224192i	0.956550	+	0.291567i	$0.0941766\pi$
$114$	−7.05675	+	5.03401i	−0.660925	+	0.471478i
$115$	3.47406	+	0.365139i	0.323958	+	0.0340494i
$116$	7.11659	+	5.17051i	0.660759	+	0.480070i
$117$	3.39514	+	1.16870i	0.313881	+	0.108046i
$118$	0.608029	−	1.05314i	0.0559736	−	0.0969492i
$119$	−0.0170937	−	0.0296071i	−0.00156697	−	0.00271408i
$120$	−0.690726	−	1.58836i	−0.0630543	−	0.144997i
$121$	−5.46775	−	6.07256i	−0.497069	−	0.552051i
$122$	0.945980	+	2.91143i	0.0856450	+	0.263588i
$123$	−9.27756	−	2.05634i	−0.836529	−	0.185414i
$124$	5.31311	+	1.66459i	0.477131	+	0.149485i
$125$			1.00000i			0.0894427i
$126$	−0.370033	−	0.0454003i	−0.0329652	−	0.00404458i
$127$	4.00873	−	3.60948i	0.355717	−	0.320289i	−0.471826	−	0.881692i	$-0.656405\pi$
$127$	4.00873	−	3.60948i	0.355717	−	0.320289i	0.827543	+	0.561403i	$0.189738\pi$
$128$	−0.587785	−	0.809017i	−0.0519534	−	0.0715077i
$129$	2.25961	+	7.16543i	0.198948	+	0.630881i
$130$	−1.03653	−	0.598443i	−0.0909101	−	0.0524870i
$131$	1.63964	−	0.172333i	0.143256	−	0.0150568i	−0.0326290	−	0.999468i	$-0.510388\pi$
$131$	1.63964	−	0.172333i	0.143256	−	0.0150568i	0.175885	+	0.984411i	$0.443721\pi$
$132$	−2.18164	+	1.93033i	−0.189887	+	0.168013i
$133$	0.0650086	−	0.618515i	0.00563696	−	0.0536321i
$134$	4.87002	+	4.38499i	0.420706	+	0.378805i
$135$	−2.48001	−	4.56613i	−0.213445	−	0.392990i
$136$	0.0571979	−	0.269095i	0.00490468	−	0.0230747i
$137$	−13.4550	+	2.85994i	−1.14953	+	0.244341i	−0.742998	−	0.669293i	$-0.766597\pi$
$137$	−13.4550	+	2.85994i	−1.14953	+	0.244341i	−0.406537	+	0.913635i	$0.633264\pi$
$138$	5.92888	−	1.20653i	0.504700	−	0.102706i
$139$	−3.15726	−	1.02586i	−0.267796	−	0.0870121i	0.172041	−	0.985090i	$-0.444964\pi$
$139$	−3.15726	−	1.02586i	−0.267796	−	0.0870121i	−0.439837	+	0.898078i	$0.644964\pi$
$140$	0.118187	+	0.0384014i	0.00998864	+	0.00324551i
$141$	5.02715	−	1.02302i	0.423362	−	0.0861540i
$142$	−14.8293	+	3.15206i	−1.24445	+	0.264515i
$143$	−0.418519	+	1.96898i	−0.0349983	+	0.164654i
$144$	−1.96838	−	2.26395i	−0.164032	−	0.188662i
$145$	−6.53714	−	5.88607i	−0.542880	−	0.488812i
$146$	−0.595665	+	5.66737i	−0.0492976	+	0.469035i
$147$	−9.06021	+	8.01653i	−0.747273	+	0.661192i
$148$	10.2096	−	1.07307i	0.839224	−	0.0882060i
$149$	0.401614	+	0.231872i	0.0329015	+	0.0189957i	0.516361	−	0.856371i	$-0.327286\pi$
$149$	0.401614	+	0.231872i	0.0329015	+	0.0189957i	−0.483459	+	0.875367i	$0.660620\pi$
$150$	0.520913	+	1.65186i	0.0425323	+	0.134874i
$151$	−0.529925	−	0.729379i	−0.0431247	−	0.0593560i	0.786910	−	0.617068i	$-0.211680\pi$
$151$	−0.529925	−	0.729379i	−0.0431247	−	0.0593560i	−0.830035	+	0.557712i	$0.811680\pi$
$152$	3.71916	−	3.34875i	0.301664	−	0.271619i
$153$	0.100507	−	0.819177i	0.00812549	−	0.0662266i
$154$		−	0.209001i		−	0.0168418i
$155$	−5.11001	−	2.21084i	−0.410446	−	0.177579i
$156$	−2.02395	−	0.448602i	−0.162046	−	0.0359169i
$157$	−1.66784	−	5.13309i	−0.133108	−	0.409666i	0.862183	−	0.506598i	$-0.169097\pi$
$157$	−1.66784	−	5.13309i	−0.133108	−	0.409666i	−0.995291	+	0.0969321i	$0.969097\pi$
$158$	6.33106	+	7.03135i	0.503672	+	0.559384i
$159$	6.08179	+	13.9854i	0.482317	+	1.10912i
$160$	0.500000	+	0.866025i	0.0395285	+	0.0684653i
$161$	−0.217049	+	0.375940i	−0.0171059	+	0.0296282i
$162$	−6.47519	−	6.25075i	−0.508739	−	0.491105i
$163$	−11.1246	−	8.08251i	−0.871348	−	0.633071i	0.0596005	−	0.998222i	$-0.481017\pi$
$163$	−11.1246	−	8.08251i	−0.871348	−	0.633071i	−0.930948	+	0.365151i	$0.881017\pi$
$164$	5.45634	+	0.573485i	0.426069	+	0.0447816i
$165$	2.37146	−	1.69171i	0.184618	−	0.131699i
$166$	−2.24554	+	5.04356i	−0.174288	+	0.391457i
$167$	−4.95913	−	1.05409i	−0.383749	−	0.0815683i	0.0119980	−	0.999928i	$-0.496181\pi$
$167$	−4.95913	−	1.05409i	−0.383749	−	0.0815683i	−0.395747	+	0.918360i	$0.629514\pi$
$168$	0.215233	+	0.00186853i	0.0166056	+	0.000144160i
$169$	10.5674	−	4.70491i	0.812877	−	0.361916i
$170$	−0.0850126	+	0.261642i	−0.00652017	+	0.0200670i
$171$	10.2384	−	10.9814i	0.782954	−	0.839768i
$172$	−1.76434	−	3.96277i	−0.134530	−	0.302158i
$173$	4.89946	+	23.0502i	0.372499	+	1.75247i	0.620972	+	0.783833i	$0.286738\pi$
$173$	4.89946	+	23.0502i	0.372499	+	1.75247i	−0.248473	+	0.968639i	$0.579929\pi$
$174$	−13.8646	−	6.31770i	−1.05107	−	0.478943i
$175$	−0.113526	−	0.0505449i	−0.00858174	−	0.00382084i
$176$	1.12537	−	1.24985i	0.0848278	−	0.0942108i
$177$	−0.668240	+	1.99746i	−0.0502280	+	0.150138i
$178$	5.22542	−	7.19218i	0.391662	−	0.539077i
$179$	−0.00672597	−	0.0639933i	−0.000502723	−	0.00478309i	0.994268	−	0.106920i	$-0.0340988\pi$
$179$	−0.00672597	−	0.0639933i	−0.000502723	−	0.00478309i	−0.994770	+	0.102137i	$0.967432\pi$
$180$	1.72095	+	2.45730i	0.128272	+	0.183156i
$181$	−13.7532	+	7.94044i	−1.02227	+	0.590208i	−0.914761	−	0.403996i	$-0.867621\pi$
$181$	−13.7532	+	7.94044i	−1.02227	+	0.590208i	−0.107509	+	0.994204i	$0.534288\pi$
$182$	0.120330	−	0.0874251i	0.00891947	−	0.00648038i
$183$	−2.61116	−	4.61473i	−0.193023	−	0.341130i
$184$	−3.32223	+	1.07946i	−0.244918	+	0.0795787i
$185$	−10.2658			−0.754760
$186$	−9.59269	−	0.990142i	−0.703370	−	0.0726007i
$187$	0.462684			0.0338348
$188$	−2.81695	+	0.915281i	−0.205447	+	0.0667537i
$189$	0.643725	−	0.0507505i	0.0468241	−	0.00369156i
$190$	−4.04883	+	2.94165i	−0.293733	+	0.213409i
$191$	−20.5622	+	11.8716i	−1.48783	+	0.858999i	−0.999904	−	0.0138856i	$-0.995580\pi$
$191$	−20.5622	+	11.8716i	−1.48783	+	0.858999i	−0.487927	+	0.872885i	$0.662247\pi$
$192$	1.27705	+	1.17010i	0.0921635	+	0.0844446i
$193$	−1.23626	−	11.7622i	−0.0889880	−	0.846664i	−0.944418	−	0.328746i	$-0.893374\pi$
$193$	−1.23626	−	11.7622i	−0.0889880	−	0.846664i	0.855430	−	0.517918i	$-0.173293\pi$
$194$	2.59827	−	3.57622i	0.186545	−	0.256757i
$195$	1.96597	+	0.657705i	0.140786	+	0.0470992i
$196$	4.67358	−	5.19054i	0.333827	−	0.370753i
$197$	−5.64299	−	2.51242i	−0.402047	−	0.179003i	0.195744	−	0.980655i	$-0.437288\pi$
$197$	−5.64299	−	2.51242i	−0.402047	−	0.179003i	−0.597790	+	0.801652i	$0.703955\pi$
$198$	3.03610	−	4.02980i	0.215766	−	0.286385i
$199$	3.92159	+	18.4496i	0.277994	+	1.30786i	0.866424	+	0.499310i	$0.166413\pi$
$199$	3.92159	+	18.4496i	0.277994	+	1.30786i	−0.588430	+	0.808548i	$0.700254\pi$
$200$	−0.406737	−	0.913545i	−0.0287606	−	0.0645974i
$201$	−9.78025	−	5.76041i	−0.689846	−	0.406308i
$202$	2.39305	−	7.36506i	0.168375	−	0.518204i
$203$	0.998640	−	0.444623i	0.0700908	−	0.0312064i
$204$	−0.00413654	+	0.476481i	−0.000289616	+	0.0333603i
$205$	−5.36651	−	1.14069i	−0.374813	−	0.0796690i
$206$	−4.16794	+	9.36134i	−0.290394	+	0.652235i
$207$	−9.64615	+	4.09558i	−0.670454	+	0.284663i
$208$	1.19033	+	0.125109i	0.0825345	+	0.00867473i
$209$	6.80946	+	4.94737i	0.471021	+	0.342216i
$210$	−0.213858	−	0.0243562i	−0.0147576	−	0.00168074i
$211$	10.6534	−	18.4522i	0.733409	−	1.27030i	−0.222009	−	0.975045i	$-0.571261\pi$
$211$	10.6534	−	18.4522i	0.733409	−	1.27030i	0.955418	−	0.295257i	$-0.0954053\pi$
$212$	−4.40246	−	7.62529i	−0.302362	−	0.523707i
$213$	24.0805	−	10.4718i	1.64997	−	0.717517i
$214$	−10.5308	−	11.6957i	−0.719874	−	0.799501i
$215$	1.34045	+	4.12548i	0.0914180	+	0.281356i
$216$	4.12282	+	3.16266i	0.280522	+	0.215191i
$217$	0.509272	−	0.468370i	0.0345717	−	0.0317951i
$218$		−	17.4349i		−	1.18084i
$219$	−0.946468	−	9.82477i	−0.0639564	−	0.663896i
$220$	−1.24985	+	1.12537i	−0.0842647	+	0.0758723i
$221$	0.193541	+	0.266386i	0.0130190	+	0.0179191i
$222$	−16.9578	+	5.34761i	−1.13813	+	0.358908i
$223$	−11.8236	−	6.82639i	−0.791770	−	0.457129i	0.0488153	−	0.998808i	$-0.484455\pi$
$223$	−11.8236	−	6.82639i	−0.791770	−	0.457129i	−0.840585	+	0.541679i	$0.817789\pi$
$224$	−0.123589	+	0.0129897i	−0.00825761	+	0.000867910i
$225$	−1.45467	−	2.62373i	−0.0969778	−	0.174915i
$226$	0.272687	−	2.59445i	0.0181389	−	0.172580i
$227$	−7.21742	−	6.49860i	−0.479037	−	0.431327i	0.393905	−	0.919151i	$-0.371124\pi$
$227$	−7.21742	−	6.49860i	−0.479037	−	0.431327i	−0.872942	+	0.487824i	$0.837791\pi$
$228$	−5.15577	+	6.96828i	−0.341449	+	0.461486i
$229$	2.50829	−	11.8006i	0.165753	−	0.779805i	−0.814202	−	0.580582i	$-0.802825\pi$
$229$	2.50829	−	11.8006i	0.165753	−	0.779805i	0.979954	−	0.199223i	$-0.0638417\pi$
$230$	3.41687	−	0.726277i	0.225301	−	0.0478893i
$231$	0.0721873	+	0.354729i	0.00474957	+	0.0233395i
$232$	8.36606	+	2.71830i	0.549259	+	0.178465i
$233$	20.9613	+	6.81073i	1.37322	+	0.446186i	0.900434	−	0.434992i	$-0.143249\pi$
$233$	20.9613	+	6.81073i	1.37322	+	0.446186i	0.472785	+	0.881178i	$0.343249\pi$
$234$	3.59012	+	0.0623395i	0.234693	+	0.00407526i
$235$	2.89719	−	0.615816i	0.188992	−	0.0401714i
$236$	0.252833	−	1.18948i	0.0164580	−	0.0774289i
$237$	−13.1741	−	9.74736i	−0.855747	−	0.633159i
$238$	−0.0254061	−	0.0228758i	−0.00164684	−	0.00148282i
$239$	0.432890	−	4.11868i	0.0280013	−	0.266415i	−0.971560	−	0.236794i	$-0.923903\pi$
$239$	0.432890	−	4.11868i	0.0280013	−	0.266415i	0.999561	−	0.0296209i	$-0.00943001\pi$
$240$	−1.14775	−	1.29718i	−0.0740870	−	0.0837324i
$241$	22.4566	−	2.36028i	1.44656	−	0.152039i	0.651534	−	0.758620i	$-0.274126\pi$
$241$	22.4566	−	2.36028i	1.44656	−	0.152039i	0.795022	+	0.606580i	$0.207459\pi$
$242$	−7.07667	−	4.08571i	−0.454905	−	0.262640i
$243$	13.1491	+	8.37269i	0.843513	+	0.537108i
$244$	1.79936	+	2.47661i	0.115192	+	0.158549i
$245$	−5.19054	+	4.67358i	−0.331611	+	0.298584i
$246$	−9.45893	+	0.911225i	−0.603079	+	0.0580976i
$247$			5.98997i			0.381133i
$248$	5.56745	−	0.0587210i	0.353534	−	0.00372879i
$249$	2.06926	−	9.33585i	0.131134	−	0.591636i
$250$	0.309017	+	0.951057i	0.0195440	+	0.0601501i
$251$	4.81886	+	5.35188i	0.304164	+	0.337808i	0.875778	−	0.482715i	$-0.160349\pi$
$251$	4.81886	+	5.35188i	0.304164	+	0.337808i	−0.571614	+	0.820523i	$0.693683\pi$
$252$	−0.365952	+	0.0711684i	−0.0230528	+	0.00448319i
$253$	−2.93749	−	5.08789i	−0.184679	−	0.319873i
$254$	2.69714	−	4.67158i	0.169233	−	0.293121i
$255$	0.0539197	−	0.473438i	0.00337658	−	0.0296479i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	−5.78764	−	0.608305i	−0.361023	−	0.0379450i	−0.0777192	−	0.996975i	$-0.524764\pi$
$257$	−5.78764	−	0.608305i	−0.361023	−	0.0379450i	−0.283304	+	0.959030i	$0.591430\pi$
$258$	4.36326	+	6.11648i	0.271645	+	0.380795i
$259$	0.518886	−	1.16544i	0.0322420	−	0.0724168i
$260$	−1.17073	−	0.248847i	−0.0726057	−	0.0154328i
$261$	25.7140	+	5.93407i	1.59165	+	0.367310i
$262$	1.50614	−	0.670575i	0.0930494	−	0.0414282i
$263$	−1.69580	+	5.21912i	−0.104567	+	0.321825i	−0.989629	−	0.143649i	$-0.954116\pi$
$263$	−1.69580	+	5.21912i	−0.104567	+	0.321825i	0.885061	+	0.465474i	$0.154116\pi$
$264$	−1.47836	+	2.51001i	−0.0909866	+	0.154481i
$265$	3.58128	+	8.04370i	0.219997	+	0.494120i
$266$	−0.129305	−	0.608332i	−0.00792819	−	0.0372992i
$267$	−6.38480	+	14.0118i	−0.390743	+	0.857511i
$268$	5.98670	+	2.66545i	0.365696	+	0.162818i
$269$	12.1147	−	13.4547i	0.738646	−	0.820350i	−0.250371	−	0.968150i	$-0.580553\pi$
$269$	12.1147	−	13.4547i	0.738646	−	0.820350i	0.989017	+	0.147800i	$0.0472192\pi$
$270$	−3.76964	−	3.57628i	−0.229413	−	0.217646i
$271$	4.46470	−	6.14513i	0.271211	−	0.373290i	−0.651587	−	0.758574i	$-0.725896\pi$
$271$	4.46470	−	6.14513i	0.271211	−	0.373290i	0.922798	+	0.385284i	$0.125896\pi$
$272$	−0.0287565	−	0.273600i	−0.00174362	−	0.0165894i
$273$	−0.174036	+	0.189945i	−0.0105332	+	0.0114960i
$274$	−11.9127	+	6.87778i	−0.719670	+	0.415502i
$275$	1.36063	−	0.988558i	0.0820493	−	0.0596123i
$276$	5.26587	−	2.97960i	0.316968	−	0.179351i
$277$	−13.5789	+	4.41204i	−0.815875	+	0.265094i	−0.687084	−	0.726578i	$-0.741110\pi$
$277$	−13.5789	+	4.41204i	−0.815875	+	0.265094i	−0.128791	+	0.991672i	$0.541110\pi$
$278$	−3.31974			−0.199105
$279$	16.6233	−	1.63271i	0.995211	−	0.0977478i
$280$	0.124269			0.00742652
$281$	−25.7156	+	8.35549i	−1.53406	+	0.498447i	−0.949730	−	0.313069i	$-0.898643\pi$
$281$	−25.7156	+	8.35549i	−1.53406	+	0.498447i	−0.584331	+	0.811516i	$0.698643\pi$
$282$	4.46497	−	2.52643i	0.265885	−	0.150446i
$283$	−23.6717	+	17.1985i	−1.40714	+	1.02235i	−0.413407	+	0.910546i	$0.635661\pi$
$283$	−23.6717	+	17.1985i	−1.40714	+	1.02235i	−0.993731	+	0.111799i	$0.964339\pi$
$284$	−13.1295	+	7.58030i	−0.779090	+	0.449808i
$285$	5.85591	−	6.39119i	0.346874	−	0.378581i
$286$	0.210412	+	2.00194i	0.0124419	+	0.118377i
$287$	0.400747	−	0.551581i	0.0236553	−	0.0325588i
$288$	−2.57164	−	1.54488i	−0.151535	−	0.0910330i
$289$	−11.3246	+	12.5772i	−0.666152	+	0.739836i
$290$	−8.03609	−	3.57790i	−0.471895	−	0.210101i
$291$	−3.17476	+	6.96720i	−0.186107	+	0.408425i
$292$	1.18480	+	5.57406i	0.0693354	+	0.326197i
$293$	2.60346	+	5.84747i	0.152096	+	0.341613i	0.973483	−	0.228758i	$-0.0734664\pi$
$293$	2.60346	+	5.84747i	0.152096	+	0.341613i	−0.821388	+	0.570370i	$0.806800\pi$
$294$	−6.13953	+	10.4239i	−0.358064	+	0.607936i
$295$	−0.375783	+	1.15654i	−0.0218789	+	0.0673364i
$296$	9.37832	−	4.17549i	0.545103	−	0.242696i
$297$	−3.76119	+	7.88827i	−0.218247	+	0.457724i
$298$	0.453609	+	0.0964177i	0.0262769	+	0.00558533i
$299$	1.70055	−	3.81950i	0.0983454	−	0.220887i
$300$	1.00587	+	1.41004i	0.0580740	+	0.0814089i
$301$	−0.536102	−	0.0563466i	−0.0309004	−	0.00324776i
$302$	−0.729379	−	0.529925i	−0.0419710	−	0.0304937i
$303$	−1.51781	+	13.3270i	−0.0871957	+	0.765616i
$304$	2.50231	−	4.33414i	0.143518	−	0.248580i
$305$	−1.53063	−	2.65113i	−0.0876435	−	0.151803i
$306$	−0.157552	−	0.810142i	−0.00900665	−	0.0463128i
$307$	1.48907	+	1.65377i	0.0849854	+	0.0943859i	0.784138	−	0.620587i	$-0.213106\pi$
$307$	1.48907	+	1.65377i	0.0849854	+	0.0943859i	−0.699152	+	0.714973i	$0.746439\pi$
$308$	−0.0645848	−	0.198771i	−0.00368006	−	0.0113261i
$309$	3.84075	−	17.3282i	0.218493	−	0.985768i
$310$	−5.54309	−	0.523558i	−0.314827	−	0.0297361i
$311$			7.43836i			0.421791i	0.977509	+	0.210895i	$0.0676380\pi$
$311$			7.43836i			0.421791i	−0.977509	+	0.210895i	$0.932362\pi$
$312$	−2.06352	+	0.198789i	−0.116824	+	0.0112542i
$313$	−8.28003	+	7.45537i	−0.468015	+	0.421403i	−0.869099	−	0.494639i	$-0.835300\pi$
$313$	−8.28003	+	7.45537i	−0.468015	+	0.421403i	0.401084	+	0.916041i	$0.368634\pi$
$314$	−3.17243	−	4.36647i	−0.179030	−	0.246414i
$315$	0.371387	−	0.0325261i	0.0209253	−	0.00183264i
$316$	8.19400	+	4.73081i	0.460949	+	0.266129i
$317$	26.6629	−	2.80238i	1.49754	−	0.157397i	0.679973	−	0.733237i	$-0.261991\pi$
$317$	26.6629	−	2.80238i	1.49754	−	0.157397i	0.817563	+	0.575839i	$0.195325\pi$
$318$	10.1059	+	11.4215i	0.566708	+	0.640488i
$319$	−1.54644	+	14.7134i	−0.0865839	+	0.823791i
$320$	0.743145	+	0.669131i	0.0415431	+	0.0374055i
$321$	21.9132	+	16.2134i	1.22308	+	0.904943i
$322$	−0.0902540	+	0.424612i	−0.00502966	+	0.0236627i
$323$	1.34672	−	0.286254i	0.0749335	−	0.0159276i
$324$	−8.08986	−	3.94387i	−0.449437	−	0.219104i
$325$	1.13831	+	0.369858i	0.0631419	+	0.0205160i
$326$	−13.0778	−	4.24923i	−0.724311	−	0.235343i
$327$	6.02187	+	29.5916i	0.333010	+	1.63642i
$328$	5.36651	−	1.14069i	0.296316	−	0.0629839i
$329$	−0.0765271	+	0.360032i	−0.00421908	+	0.0198492i
$330$	1.73263	−	2.34173i	0.0953780	−	0.128908i
$331$	1.27327	+	1.14646i	0.0699852	+	0.0630150i	0.703381	−	0.710813i	$-0.251673\pi$
$331$	1.27327	+	1.14646i	0.0699852	+	0.0630150i	−0.633396	+	0.773828i	$0.718339\pi$
$332$	−0.577088	+	5.49062i	−0.0316718	+	0.301337i
$333$	26.9348	−	14.9334i	1.47602	−	0.818345i
$334$	−5.04214	+	0.529951i	−0.275894	+	0.0289976i
$335$	−5.67529	−	3.27663i	−0.310074	−	0.179021i
$336$	0.205276	−	0.0647335i	0.0111987	−	0.00353150i
$337$	8.03190	+	11.0550i	0.437525	+	0.602202i	0.969660	−	0.244458i	$-0.0786100\pi$
$337$	8.03190	+	11.0550i	0.437525	+	0.602202i	−0.532135	+	0.846660i	$0.678610\pi$
$338$	8.59630	−	7.74014i	0.467577	−	0.421008i
$339$	0.433280	+	4.49764i	0.0235325	+	0.244278i
$340$			0.275107i			0.0149198i
$341$	2.04339	+	9.13839i	0.110656	+	0.494872i
$342$	6.34391	−	13.6078i	0.343039	−	0.735824i
$343$	−0.537026	−	1.65280i	−0.0289967	−	0.0892426i
$344$	−2.90255	−	3.22361i	−0.156495	−	0.173805i
$345$	−5.54847	+	2.41284i	−0.298720	+	0.129903i
$346$	11.7826	+	20.4080i	0.633434	+	1.09714i
$347$	3.02143	−	5.23328i	0.162199	−	0.280937i	−0.773458	−	0.633848i	$-0.781475\pi$
$347$	3.02143	−	5.23328i	0.162199	−	0.280937i	0.935657	+	0.352911i	$0.114808\pi$
$348$	−15.1383	−	1.72409i	−0.811497	−	0.0924211i
$349$	−1.72120	−	1.25052i	−0.0921337	−	0.0669391i	0.540765	−	0.841174i	$-0.318135\pi$
$349$	−1.72120	−	1.25052i	−0.0921337	−	0.0669391i	−0.632898	+	0.774235i	$0.718135\pi$
$350$	−0.123589	−	0.0129897i	−0.00660609	−	0.000694328i
$351$	−6.11491	+	1.13419i	−0.326390	+	0.0605388i
$352$	0.684064	−	1.53643i	0.0364607	−	0.0818922i
$353$	5.89876	+	1.25382i	0.313959	+	0.0667341i	0.362196	−	0.932102i	$-0.382027\pi$
$353$	5.89876	+	1.25382i	0.313959	+	0.0667341i	−0.0482371	+	0.998836i	$0.515360\pi$
$354$	−0.0182848	+	2.10620i	−0.000971827	+	0.111943i
$355$	13.8499	−	6.16637i	0.735076	−	0.327277i
$356$	2.74717	−	8.45491i	0.145600	−	0.448110i
$357$	0.0510221	+	0.0300512i	0.00270037	+	0.00159048i
$358$	−0.0261718	−	0.0587828i	−0.00138322	−	0.00310677i
$359$	−1.19671	−	5.63006i	−0.0631598	−	0.297143i	0.935219	−	0.354071i	$-0.115203\pi$
$359$	−1.19671	−	5.63006i	−0.0631598	−	0.297143i	−0.998378	+	0.0569276i	$0.981870\pi$
$360$	2.39607	+	1.80523i	0.126284	+	0.0951438i
$361$	5.52357	+	2.45925i	0.290714	+	0.129434i
$362$	−10.6264	+	11.8018i	−0.558510	+	0.620288i
$363$	13.4221	+	4.49031i	0.704480	+	0.235680i
$364$	0.0874251	−	0.120330i	0.00458232	−	0.00630702i
$365$	−0.595665	−	5.66737i	−0.0311785	−	0.296644i
$366$	−3.90939	−	3.58197i	−0.204347	−	0.187233i
$367$	21.3598	−	12.3321i	1.11497	−	0.643730i	0.174860	−	0.984593i	$-0.444053\pi$
$367$	21.3598	−	12.3321i	1.11497	−	0.643730i	0.940113	+	0.340863i	$0.110719\pi$
$368$	−2.82606	+	2.05325i	−0.147318	+	0.107033i
$369$	15.7396	−	4.81363i	0.819369	−	0.250588i
$370$	−9.76340	+	3.17232i	−0.507575	+	0.164921i
$371$	−1.09418			−0.0568071
$372$	−9.42916	+	2.02262i	−0.488879	+	0.104868i
$373$	16.1225			0.834790			0.417395	−	0.908725i	$-0.362943\pi$
$373$	16.1225			0.834790			0.417395	+	0.908725i	$0.362943\pi$
$374$	0.440039	−	0.142977i	0.0227539	−	0.00739318i
$375$	−0.852971	−	1.50746i	−0.0440472	−	0.0778450i
$376$	−2.39624	+	1.74097i	−0.123577	+	0.0897836i
$377$	−9.11797	+	5.26426i	−0.469599	+	0.271123i
$378$	0.596536	−	0.247189i	0.0306825	−	0.0127140i
$379$	−2.74840	−	26.1492i	−0.141176	−	1.34320i	−0.804093	−	0.594504i	$-0.797348\pi$
$379$	−2.74840	−	26.1492i	−0.141176	−	1.34320i	0.662917	−	0.748693i	$-0.269318\pi$
$380$	−2.94165	+	4.04883i	−0.150903	+	0.207701i
$381$	−2.96423	+	8.86047i	−0.151862	+	0.453936i
$382$	−15.8873	+	17.6446i	−0.812865	+	0.902778i
$383$	−3.47460	−	1.54699i	−0.177544	−	0.0790475i	0.316040	−	0.948746i	$-0.397647\pi$
$383$	−3.47460	−	1.54699i	−0.177544	−	0.0790475i	−0.493584	+	0.869698i	$0.664313\pi$
$384$	1.57613	+	0.718198i	0.0804316	+	0.0366504i
$385$	0.0434537	+	0.204433i	0.00221460	+	0.0104189i
$386$	−4.81049	−	10.8045i	−0.244847	−	0.549936i
$387$	−9.51818	−	8.87423i	−0.483837	−	0.451103i
$388$	1.36599	−	4.20409i	0.0693478	−	0.213430i
$389$	−17.3903	+	7.74267i	−0.881725	+	0.392569i	−0.797102	−	0.603844i	$-0.793635\pi$
$389$	−17.3903	+	7.74267i	−0.881725	+	0.392569i	−0.0846221	+	0.996413i	$0.526968\pi$
$390$	2.07299	+	0.0179965i	0.104970	+	0.000911291i
$391$	−0.940003	−	0.199804i	−0.0475380	−	0.0101045i
$392$	2.84088	−	6.38071i	0.143486	−	0.322275i
$393$	−2.32470	+	1.65835i	−0.117265	+	0.0836527i
$394$	−6.14319	−	0.645675i	−0.309489	−	0.0325286i
$395$	−7.65461	−	5.56140i	−0.385145	−	0.279824i
$396$	1.64222	−	4.77077i	0.0825248	−	0.239740i
$397$	9.29443	−	16.0984i	0.466474	−	0.807957i	−0.532793	−	0.846246i	$-0.678857\pi$
$397$	9.29443	−	16.0984i	0.466474	−	0.807957i	0.999267	+	0.0382892i	$0.0121908\pi$
$398$	9.43089	+	16.3348i	0.472728	+	0.818789i
$399$	0.429578	+	0.987838i	0.0215058	+	0.0494538i
$400$	−0.669131	−	0.743145i	−0.0334565	−	0.0371572i
$401$	3.91850	+	12.0599i	0.195681	+	0.602243i	0.999968	+	0.00800254i	$0.00254732\pi$
$401$	3.91850	+	12.0599i	0.195681	+	0.602243i	−0.804287	+	0.594241i	$0.797453\pi$
$402$	−11.0816	−	2.45621i	−0.552702	−	0.122505i
$403$	−4.40660	+	4.99906i	−0.219508	+	0.249021i
$404$		−	7.74408i		−	0.385283i
$405$	7.63330	+	4.76789i	0.379302	+	0.236918i
$406$	0.812367	−	0.731458i	0.0403171	−	0.0363017i
$407$	10.1484	+	13.9681i	0.503037	+	0.692371i
$408$	0.143307	+	0.454438i	0.00709473	+	0.0224981i
$409$	22.6265	+	13.0634i	1.11881	+	0.645945i	0.941097	−	0.338137i	$-0.109797\pi$
$409$	22.6265	+	13.0634i	1.11881	+	0.645945i	0.177713	+	0.984082i	$0.443130\pi$
$410$	−5.45634	+	0.573485i	−0.269470	+	0.0283224i
$411$	17.8434	−	15.7879i	0.880149	−	0.778762i
$412$	−1.07113	+	10.1911i	−0.0527708	+	0.502081i
$413$	−0.112303	−	0.101118i	−0.00552608	−	0.00497570i
$414$	−7.90843	+	6.87596i	−0.388678	+	0.337935i
$415$	1.14785	−	5.40022i	0.0563459	−	0.265087i
$416$	1.17073	−	0.248847i	0.0573999	−	0.0122007i
$417$	5.63448	−	1.14661i	0.275922	−	0.0561500i
$418$	8.00501	+	2.60098i	0.391538	+	0.127218i
$419$	−13.6334	−	4.42977i	−0.666037	−	0.216408i	−0.0435648	−	0.999051i	$-0.513872\pi$
$419$	−13.6334	−	4.42977i	−0.666037	−	0.216408i	−0.622472	+	0.782642i	$0.713872\pi$
$420$	−0.210918	+	0.0429217i	−0.0102917	+	0.00209437i
$421$	−9.58059	+	2.03642i	−0.466929	+	0.0992489i	−0.435367	−	0.900253i	$-0.643382\pi$
$421$	−9.58059	+	2.03642i	−0.466929	+	0.0992489i	−0.0315620	+	0.999502i	$0.510048\pi$
$422$	4.42992	−	20.8412i	0.215645	−	1.01453i
$423$	−6.70562	+	5.83018i	−0.326038	+	0.283473i
$424$	−6.54333	−	5.89164i	−0.317772	−	0.286123i
$425$	0.0287565	−	0.273600i	0.00139489	−	0.0132715i
$426$	19.6660	−	17.4006i	0.952820	−	0.843061i
$427$	0.378337	−	0.0397648i	0.0183090	−	0.00192435i
$428$	−13.6296	−	7.86905i	−0.658811	−	0.380365i
$429$	−1.04858	−	3.32514i	−0.0506259	−	0.160539i
$430$	2.54969	+	3.50935i	0.122957	+	0.169236i
$431$	8.09919	−	7.29255i	0.390124	−	0.351270i	−0.450607	−	0.892723i	$-0.648792\pi$
$431$	8.09919	−	7.29255i	0.390124	−	0.351270i	0.840731	+	0.541453i	$0.182126\pi$
$432$	4.89835	+	1.73384i	0.235672	+	0.0834196i
$433$			3.03249i			0.145732i	0.997342	+	0.0728661i	$0.0232146\pi$
$433$			3.03249i			0.145732i	−0.997342	+	0.0728661i	$0.976785\pi$
$434$	0.339613	−	0.602821i	0.0163019	−	0.0289363i
$435$	14.8751	+	3.29703i	0.713208	+	0.158080i
$436$	−5.38767	−	16.5815i	−0.258023	−	0.794112i
$437$	−11.6979	−	12.9918i	−0.559584	−	0.621481i
$438$	−3.93616	−	9.05143i	−0.188077	−	0.432494i
$439$	−9.00073	−	15.5897i	−0.429581	−	0.744057i	0.567255	−	0.823542i	$-0.308006\pi$
$439$	−9.00073	−	15.5897i	−0.429581	−	0.744057i	−0.996836	+	0.0794858i	$0.974672\pi$
$440$	−0.840918	+	1.45651i	−0.0400892	+	0.0694365i
$441$	6.82005	−	19.8127i	0.324764	−	0.943462i
$442$	0.266386	+	0.193541i	0.0126707	+	0.00920580i
$443$	15.7085	+	1.65103i	0.746332	+	0.0784427i	0.470057	−	0.882636i	$-0.344233\pi$
$443$	15.7085	+	1.65103i	0.746332	+	0.0784427i	0.276275	+	0.961079i	$0.410900\pi$
$444$	−14.4753	+	10.3261i	−0.686967	+	0.490056i
$445$	−3.61590	+	8.12144i	−0.171410	+	0.384993i
$446$	−13.3544	−	2.83857i	−0.632350	−	0.134410i
$447$	−0.803197	−	0.00697291i	−0.0379899	−	0.000329807i
$448$	−0.113526	+	0.0505449i	−0.00536359	+	0.00238802i
$449$	1.72422	−	5.30661i	0.0813710	−	0.250434i	−0.902092	−	0.431544i	$-0.857969\pi$
$449$	1.72422	−	5.30661i	0.0813710	−	0.250434i	0.983463	+	0.181110i	$0.0579689\pi$
$450$	−2.19425	−	2.04580i	−0.103438	−	0.0964397i
$451$	3.75305	+	8.42948i	0.176724	+	0.396929i
$452$	−0.542387	−	2.55173i	−0.0255117	−	0.120023i
$453$	1.42098	+	0.647500i	0.0667635	+	0.0304222i
$454$	−8.87235	−	3.95023i	−0.416400	−	0.185393i
$455$	−0.0995241	+	0.110533i	−0.00466576	+	0.00518185i
$456$	−2.75011	+	8.22045i	−0.128786	+	0.384958i
$457$	2.77355	−	3.81747i	0.129741	−	0.178574i	−0.739204	−	0.673481i	$-0.764798\pi$
$457$	2.77355	−	3.81747i	0.129741	−	0.178574i	0.868946	+	0.494908i	$0.164798\pi$
$458$	−1.26105	−	11.9981i	−0.0589252	−	0.560636i
$459$	0.547225	+	1.32061i	0.0255423	+	0.0616407i
$460$	3.02520	−	1.74660i	0.141051	−	0.0814357i
$461$	13.5073	−	9.81364i	0.629098	−	0.457067i	−0.226989	−	0.973897i	$-0.572888\pi$
$461$	13.5073	−	9.81364i	0.629098	−	0.457067i	0.856088	+	0.516831i	$0.172888\pi$
$462$	0.178272	+	0.315060i	0.00829394	+	0.0146579i
$463$	−27.7025	+	9.00108i	−1.28744	+	0.418316i	−0.871196	−	0.490935i	$-0.836655\pi$
$463$	−27.7025	+	9.00108i	−1.28744	+	0.418316i	−0.416248	+	0.909251i	$0.636655\pi$
$464$	8.79659			0.408372
$465$	9.58892	−	1.02593i	0.444676	−	0.0475762i
$466$	22.0400			1.02098
$467$	−1.25164	+	0.406683i	−0.0579191	+	0.0188191i	−0.337833	−	0.941206i	$-0.609694\pi$
$467$	−1.25164	+	0.406683i	−0.0579191	+	0.0188191i	0.279914	+	0.960025i	$0.409694\pi$
$468$	3.43367	−	1.05012i	0.158721	−	0.0485418i
$469$	0.658839	−	0.478674i	0.0304223	−	0.0221031i
$470$	2.56509	−	1.48096i	0.118319	−	0.0683114i
$471$	6.89259	+	6.31532i	0.317594	+	0.290995i
$472$	−0.127113	−	1.20940i	−0.00585084	−	0.0556670i
$473$	4.28816	−	5.90214i	0.197170	−	0.271381i
$474$	−15.5414	−	5.19928i	−0.713839	−	0.238811i
$475$	3.34875	−	3.71916i	0.153651	−	0.170647i
$476$	−0.0312317	−	0.0139052i	−0.00143150	−	0.000637346i
$477$	−21.0972	−	15.8949i	−0.965975	−	0.727777i
$478$	−0.861038	−	4.05086i	−0.0393829	−	0.185282i
$479$	3.73826	+	8.39627i	0.170805	+	0.383635i	0.978583	−	0.205852i	$-0.0659965\pi$
$479$	3.73826	+	8.39627i	0.170805	+	0.383635i	−0.807778	+	0.589487i	$0.799330\pi$
$480$	−1.49243	−	0.879014i	−0.0681196	−	0.0401213i
$481$	−3.79691	+	11.6857i	−0.173124	+	0.532821i
$482$	20.6281	−	9.18423i	0.939585	−	0.418330i
$483$	0.00652715	−	0.751851i	0.000296996	−	0.0342104i
$484$	−7.99286	−	1.69894i	−0.363312	−	0.0772244i
$485$	−1.79796	+	4.03828i	−0.0816410	+	0.183369i
$486$	15.0928	+	3.89961i	0.684624	+	0.176890i
$487$	−20.6178	−	2.16702i	−0.934283	−	0.0981971i	−0.374862	−	0.927081i	$-0.622310\pi$
$487$	−20.6178	−	2.16702i	−0.934283	−	0.0981971i	−0.559421	+	0.828884i	$0.688977\pi$
$488$	2.47661	+	1.79936i	0.112111	+	0.0814533i
$489$	23.6641	+	2.69509i	1.07013	+	0.121876i
$490$	−3.49228	+	6.04880i	−0.157765	+	0.273257i
$491$	−7.89383	−	13.6725i	−0.356244	−	0.617032i	0.631086	−	0.775713i	$-0.282609\pi$
$491$	−7.89383	−	13.6725i	−0.356244	−	0.617032i	−0.987330	+	0.158680i	$0.949276\pi$
$492$	−8.71439	+	3.78960i	−0.392875	+	0.170848i
$493$	1.61930	+	1.79841i	0.0729295	+	0.0809964i
$494$	1.85100	+	5.69680i	0.0832806	+	0.256311i
$495$	−2.13191	+	4.57298i	−0.0958221	+	0.205540i
$496$	5.27682	−	1.77629i	0.236936	−	0.0797576i
$497$			1.88400i			0.0845088i
$498$	−0.916950	−	9.51836i	−0.0410895	−	0.426528i
$499$	−11.2739	+	10.1511i	−0.504691	+	0.454425i	−0.881718	−	0.471777i	$-0.843613\pi$
$499$	−11.2739	+	10.1511i	−0.504691	+	0.454425i	0.377028	+	0.926202i	$0.376946\pi$
$500$	0.587785	+	0.809017i	0.0262866	+	0.0361803i
$501$	8.37481	−	2.64098i	0.374159	−	0.117990i
$502$	6.23683	+	3.60084i	0.278363	+	0.160713i
$503$	−24.0689	+	2.52974i	−1.07318	+	0.112796i	−0.624598	−	0.780947i	$-0.714737\pi$
$503$	−24.0689	+	2.52974i	−1.07318	+	0.112796i	−0.448581	+	0.893742i	$0.648070\pi$
$504$	−0.326049	+	0.180771i	−0.0145234	+	0.00805216i
$505$	−0.809477	+	7.70166i	−0.0360213	+	0.342719i
$506$	−4.36597	−	3.93113i	−0.194091	−	0.174760i
$507$	−11.9168	+	16.1062i	−0.529244	+	0.715300i
$508$	1.12153	−	5.27640i	0.0497600	−	0.234102i
$509$	39.4882	−	8.39348i	1.75029	−	0.372035i	0.782273	−	0.622936i	$-0.214060\pi$
$509$	39.4882	−	8.39348i	1.75029	−	0.372035i	0.968013	+	0.250901i	$0.0807270\pi$
$510$	−0.0950198	−	0.466929i	−0.00420755	−	0.0206759i
$511$	0.673501	+	0.218834i	0.0297939	+	0.00968063i
$512$	−0.951057	−	0.309017i	−0.0420312	−	0.0136568i
$513$	−6.06726	+	25.2871i	−0.267876	+	1.11645i
$514$	−5.69235	+	1.20995i	−0.251079	+	0.0533684i
$515$	2.13052	−	10.0233i	0.0938821	−	0.441681i
$516$	6.03980	+	4.46879i	0.265887	+	0.196728i
$517$	−3.70194	−	3.33324i	−0.162811	−	0.146596i
$518$	0.133350	−	1.26874i	0.00585907	−	0.0557453i
$519$	−27.0469	−	30.5681i	−1.18723	−	1.34179i
$520$	−1.19033	+	0.125109i	−0.0521994	+	0.00548638i
$521$	−34.0699	−	19.6703i	−1.49263	−	0.861771i	−0.492666	−	0.870218i	$-0.663978\pi$
$521$	−34.0699	−	19.6703i	−1.49263	−	0.861771i	−0.999964	+	0.00844794i	$0.997311\pi$
$522$	26.2892	−	2.30241i	1.15064	−	0.100774i
$523$	6.17550	+	8.49984i	0.270036	+	0.371672i	0.922402	−	0.386232i	$-0.126224\pi$
$523$	6.17550	+	8.49984i	0.270036	+	0.371672i	−0.652366	+	0.757904i	$0.726224\pi$
$524$	1.22520	−	1.10318i	0.0535232	−	0.0481925i
$525$	0.214249	−	0.0206397i	0.00935059	−	0.000900788i
$526$			5.48771i			0.239276i
$527$	1.33452	+	0.751832i	0.0581326	+	0.0327503i
$528$	−0.630365	+	2.84400i	−0.0274331	+	0.123769i
$529$	−3.33663	−	10.2691i	−0.145071	−	0.446482i
$530$	5.89164	+	6.54333i	0.255917	+	0.284224i
$531$	−0.696430	−	3.58108i	−0.0302225	−	0.155406i
$532$	−0.310961	−	0.538600i	−0.0134819	−	0.0233513i
$533$	−3.28330	+	5.68684i	−0.142215	+	0.246324i
$534$	−1.74240	+	15.2991i	−0.0754012	+	0.662055i
$535$	12.7324	+	9.25062i	0.550469	+	0.399939i
$536$	6.51736	+	0.685002i	0.281507	+	0.0295876i
$537$	0.0647236	+	0.0907304i	0.00279303	+	0.00391531i
$538$	7.36402	−	16.5399i	0.317486	−	0.713084i
$539$	11.4902	+	2.44231i	0.494917	+	0.105198i
$540$	−4.69028	−	2.23636i	−0.201837	−	0.0962377i
$541$	6.23714	−	2.77695i	0.268155	−	0.119391i	−0.268254	−	0.963348i	$-0.586447\pi$
$541$	6.23714	−	2.77695i	0.268155	−	0.119391i	0.536410	+	0.843958i	$0.319780\pi$
$542$	2.34723	−	7.22404i	0.100822	−	0.310299i
$543$	13.9595	−	23.7010i	0.599060	−	1.01711i
$544$	−0.111896	−	0.251322i	−0.00479750	−	0.0107754i
$545$	3.62491	+	17.0539i	0.155274	+	0.730508i
$546$	−0.106822	+	0.234428i	−0.00457157	+	0.0100326i
$547$	0.792438	+	0.352816i	0.0338822	+	0.0150853i	0.423608	−	0.905846i	$-0.360763\pi$
$547$	0.792438	+	0.352816i	0.0338822	+	0.0150853i	−0.389726	+	0.920931i	$0.627430\pi$
$548$	−9.20426	+	10.2224i	−0.393187	+	0.436678i
$549$	7.87246	+	4.72928i	0.335988	+	0.201841i
$550$	0.988558	−	1.36063i	0.0421523	−	0.0580176i
$551$	4.60173	+	43.7825i	0.196040	+	1.86520i
$552$	4.08739	−	4.46101i	0.173971	−	0.189873i
$553$	1.01826	−	0.587895i	0.0433010	−	0.0249998i
$554$	−11.5509	+	8.39220i	−0.490750	+	0.356550i
$555$	15.4754	−	8.75647i	0.656893	−	0.371691i
$556$	−3.15726	+	1.02586i	−0.133898	+	0.0435060i
$557$	26.2553			1.11247			0.556236	−	0.831025i	$-0.312245\pi$
$557$	26.2553			1.11247			0.556236	+	0.831025i	$0.312245\pi$
$558$	15.3052	−	6.68968i	0.647919	−	0.283197i
$559$	5.19184			0.219592
$560$	0.118187	−	0.0384014i	0.00499432	−	0.00162275i
$561$	−0.697479	+	0.394656i	−0.0294476	+	0.0166624i
$562$	−21.8750	+	15.8931i	−0.922739	+	0.670409i
$563$	22.6377	−	13.0699i	0.954065	−	0.550829i	0.0597234	−	0.998215i	$-0.480978\pi$
$563$	22.6377	−	13.0699i	0.954065	−	0.550829i	0.894341	+	0.447386i	$0.147645\pi$
$564$	3.46573	−	3.78252i	0.145934	−	0.159273i
$565$	0.272687	+	2.59445i	0.0114720	+	0.109149i
$566$	−17.1985	+	23.6717i	−0.722907	+	0.994997i
$567$	−0.927102	+	0.625583i	−0.0389346	+	0.0262720i
$568$	−10.1444	+	11.2665i	−0.425650	+	0.472732i
$569$	−38.3574	−	17.0778i	−1.60802	−	0.715938i	−0.610899	−	0.791709i	$-0.709192\pi$
$569$	−38.3574	−	17.0778i	−1.60802	−	0.715938i	−0.997125	+	0.0757705i	$0.975858\pi$
$570$	3.59431	−	7.88795i	0.150549	−	0.330390i
$571$	4.52829	+	21.3039i	0.189503	+	0.891541i	0.965419	+	0.260704i	$0.0839548\pi$
$571$	4.52829	+	21.3039i	0.189503	+	0.891541i	−0.775916	+	0.630836i	$0.782712\pi$
$572$	0.818747	+	1.83894i	0.0342335	+	0.0768898i
$573$	20.8706	−	35.4350i	0.871883	−	1.48032i
$574$	0.210685	−	0.648422i	0.00879383	−	0.0270646i
$575$	−3.19120	+	1.42081i	−0.133082	+	0.0592520i
$576$	−2.92317	−	0.674588i	−0.121799	−	0.0281078i
$577$	−39.4837	−	8.39252i	−1.64373	−	0.349385i	−0.709127	−	0.705081i	$-0.750911\pi$
$577$	−39.4837	−	8.39252i	−1.64373	−	0.349385i	−0.934602	+	0.355696i	$0.884244\pi$
$578$	−6.88374	+	15.4611i	−0.286326	+	0.643098i
$579$	11.8965	+	16.6766i	0.494400	+	0.693057i
$580$	−8.74840	−	0.919494i	−0.363258	−	0.0381799i
$581$	0.555046	+	0.403265i	0.0230272	+	0.0167302i
$582$	−0.866388	+	7.60726i	−0.0359129	+	0.315331i
$583$	7.40421	−	12.8245i	0.306651	−	0.531135i
$584$	2.84930	+	4.93512i	0.117905	+	0.204217i
$585$	−3.52463	+	0.685450i	−0.145725	+	0.0283399i
$586$	4.28300	+	4.75676i	0.176929	+	0.196500i
$587$	5.14243	+	15.8268i	0.212251	+	0.653240i	0.999337	+	0.0363979i	$0.0115884\pi$
$587$	5.14243	+	15.8268i	0.212251	+	0.653240i	−0.787087	+	0.616842i	$0.788412\pi$
$588$	−2.61787	+	11.8110i	−0.107959	+	0.487076i
$589$	11.6014	+	25.3346i	0.478027	+	1.04390i
$590$			1.21606i			0.0500643i
$591$	10.6496	−	1.02593i	0.438067	−	0.0422011i
$592$	7.62901	−	6.86919i	0.313550	−	0.282322i
$593$	−6.76870	−	9.31632i	−0.277957	−	0.382575i	0.647099	−	0.762406i	$-0.275982\pi$
$593$	−6.76870	−	9.31632i	−0.277957	−	0.382575i	−0.925056	+	0.379831i	$0.875982\pi$
$594$	−1.13950	+	8.66446i	−0.0467541	+	0.355507i
$595$	0.0296071	+	0.0170937i	0.00121377	+	0.000700772i
$596$	0.461203	−	0.0484744i	0.0188916	−	0.00198559i
$597$	−21.6486	−	24.4671i	−0.886019	−	1.00137i
$598$	0.437030	−	4.15806i	0.0178715	−	0.170036i
$599$	23.5745	+	21.2266i	0.963229	+	0.867295i	0.991208	−	0.132313i	$-0.0422404\pi$
$599$	23.5745	+	21.2266i	0.963229	+	0.867295i	−0.0279788	+	0.999609i	$0.508907\pi$
$600$	1.39237	+	1.03020i	0.0568432	+	0.0420577i
$601$	1.28262	−	6.03427i	0.0523193	−	0.246143i	−0.944215	−	0.329331i	$-0.893177\pi$
$601$	1.28262	−	6.03427i	0.0523193	−	0.246143i	0.996534	+	0.0831880i	$0.0265102\pi$
$602$	−0.527275	+	0.112076i	−0.0214901	+	0.00456787i
$603$	19.6568	+	0.341325i	0.800487	+	0.0138998i
$604$	−0.857436	−	0.278598i	−0.0348886	−	0.0113360i
$605$	7.77149	+	2.52511i	0.315956	+	0.102660i
$606$	2.67475	+	13.1438i	0.108654	+	0.533928i
$607$	2.00971	−	0.427176i	0.0815714	−	0.0173385i	−0.166945	−	0.985966i	$-0.553390\pi$
$607$	2.00971	−	0.427176i	0.0815714	−	0.0173385i	0.248517	+	0.968628i	$0.420057\pi$
$608$	1.04052	−	4.89527i	0.0421987	−	0.198529i
$609$	−1.12616	+	1.52206i	−0.0456343	+	0.0616771i
$610$	−2.27496	−	2.04838i	−0.0921103	−	0.0829365i
$611$	0.370561	−	3.52565i	0.0149913	−	0.142633i
$612$	−0.400189	−	0.721805i	−0.0161767	−	0.0291772i
$613$	−6.91022	+	0.726293i	−0.279101	+	0.0293347i	−0.243045	−	0.970015i	$-0.578146\pi$
$613$	−6.91022	+	0.726293i	−0.279101	+	0.0293347i	−0.0360562	+	0.999350i	$0.511480\pi$
$614$	1.92723	+	1.11269i	0.0777766	+	0.0449044i
$615$	9.06277	−	2.85793i	0.365446	−	0.115243i
$616$	−0.122847	−	0.169085i	−0.00494967	−	0.00681263i
$617$	19.4144	−	17.4808i	0.781594	−	0.703750i	−0.178343	−	0.983968i	$-0.557074\pi$
$617$	19.4144	−	17.4808i	0.781594	−	0.703750i	0.959936	+	0.280218i	$0.0904069\pi$
$618$	−1.70195	−	17.6670i	−0.0684623	−	0.710670i
$619$		−	1.16221i		−	0.0467132i	−0.999727	−	0.0233566i	$-0.992565\pi$
$619$		−	1.16221i		−	0.0467132i	0.999727	−	0.0233566i	$-0.00743531\pi$
$620$	−5.43358	+	1.21498i	−0.218218	+	0.0487946i
$621$	11.0478	−	14.4018i	0.443332	−	0.577925i
$622$	2.29858	+	7.07430i	0.0921647	+	0.283654i
$623$	−0.739227	−	0.820995i	−0.0296165	−	0.0328925i
$624$	−1.90109	+	0.826721i	−0.0761045	+	0.0330953i
$625$	−0.500000	−	0.866025i	−0.0200000	−	0.0346410i
$626$	−5.57094	+	9.64915i	−0.222660	+	0.385658i
$627$	−14.4850	−	1.64969i	−0.578474	−	0.0658821i
$628$	−4.36647	−	3.17243i	−0.174241	−	0.126594i
$629$	2.80873	+	0.295210i	0.111991	+	0.0117708i
$630$	0.343158	−	0.145699i	0.0136718	−	0.00580478i
$631$	8.12469	−	18.2484i	0.323439	−	0.726455i	−0.676511	−	0.736432i	$-0.736509\pi$
$631$	8.12469	−	18.2484i	0.323439	−	0.726455i	0.999950	+	0.00997672i	$0.00317574\pi$
$632$	9.25486	+	1.96718i	0.368139	+	0.0782503i
$633$	−0.320371	+	36.9030i	−0.0127336	+	1.46676i
$634$	24.4919	−	10.9045i	0.972698	−	0.433073i
$635$	−1.66692	+	5.13026i	−0.0661498	+	0.203588i
$636$	13.1407	+	7.73965i	0.521062	+	0.306897i
$637$	3.40021	+	7.63699i	0.134721	+	0.302588i
$638$	3.07593	+	14.4711i	0.121777	+	0.572917i
$639$	−27.3683	+	36.3258i	−1.08267	+	1.43703i
$640$	0.913545	+	0.406737i	0.0361111	+	0.0160777i
$641$	−2.57987	+	2.86524i	−0.101899	+	0.113170i	−0.791937	−	0.610603i	$-0.790927\pi$
$641$	−2.57987	+	2.86524i	−0.101899	+	0.113170i	0.690038	+	0.723773i	$0.257594\pi$
$642$	25.8509	+	8.64829i	1.02025	+	0.341321i
$643$	−10.5228	+	14.4834i	−0.414978	+	0.571168i	−0.964424	−	0.264362i	$-0.914839\pi$
$643$	−10.5228	+	14.4834i	−0.414978	+	0.571168i	0.549446	+	0.835529i	$0.314839\pi$
$644$	0.0453756	+	0.431720i	0.00178805	+	0.0170121i
$645$	−5.53960	−	5.07564i	−0.218121	−	0.199853i
$646$	1.19235	−	0.688403i	0.0469124	−	0.0270849i
$647$	22.4104	−	16.2821i	0.881044	−	0.640116i	−0.0524834	−	0.998622i	$-0.516714\pi$
$647$	22.4104	−	16.2821i	0.881044	−	0.640116i	0.933527	+	0.358506i	$0.116714\pi$
$648$	−8.91264	−	1.25094i	−0.350122	−	0.0491415i
$649$	1.94511	−	0.632005i	0.0763523	−	0.0248084i
$650$	1.19689			0.0469458
$651$	−0.368202	+	1.14045i	−0.0144310	+	0.0446976i
$652$	−13.7508			−0.538523
$653$	−36.5076	+	11.8621i	−1.42865	+	0.464198i	−0.918341	−	0.395790i	$-0.870471\pi$
$653$	−36.5076	+	11.8621i	−1.42865	+	0.464198i	−0.510314	+	0.859988i	$0.670471\pi$
$654$	14.8714	+	26.2824i	0.581519	+	1.02772i
$655$	−1.33380	+	0.969064i	−0.0521160	+	0.0378645i
$656$	4.75136	−	2.74320i	0.185509	−	0.107104i
$657$	9.80700	+	14.0031i	0.382608	+	0.546315i
$658$	0.0384743	+	0.366059i	0.00149988	+	0.0142705i
$659$	21.2648	−	29.2685i	0.828360	−	1.14014i	−0.159866	−	0.987139i	$-0.551106\pi$
$659$	21.2648	−	29.2685i	0.828360	−	1.14014i	0.988226	−	0.153001i	$-0.0488938\pi$
$660$	0.924191	−	2.76253i	0.0359741	−	0.107531i
$661$	−33.7537	+	37.4873i	−1.31287	+	1.45809i	−0.512355	+	0.858774i	$0.671227\pi$
$661$	−33.7537	+	37.4873i	−1.31287	+	1.45809i	−0.800514	+	0.599315i	$0.795440\pi$
$662$	1.56523	+	0.696884i	0.0608342	+	0.0270852i
$663$	−0.518975	−	0.236482i	−0.0201553	−	0.00918421i
$664$	1.14785	+	5.40022i	0.0445453	+	0.209569i
$665$	0.252959	+	0.568154i	0.00980931	+	0.0220321i
$666$	21.0018	−	22.5258i	0.813804	−	0.872857i
$667$	9.49556	−	29.2243i	0.367669	−	1.13157i
$668$	−4.63160	+	2.06212i	−0.179202	+	0.0797859i
$669$	23.6464	+	0.205285i	0.914223	+	0.00793677i
$670$	−6.41005	−	1.36250i	−0.247642	−	0.0526379i
$671$	−2.09410	+	4.70342i	−0.0808417	+	0.181573i
$672$	0.175225	−	0.124999i	0.00675946	−	0.00482194i
$673$	−50.7707	−	5.33621i	−1.95707	−	0.205696i	−0.959864	−	0.280465i	$-0.909511\pi$
$673$	−50.7707	−	5.33621i	−1.95707	−	0.205696i	−0.997201	+	0.0747694i	$0.976178\pi$
$674$	11.0550	+	8.03190i	0.425821	+	0.309377i
$675$	4.43082	+	2.71438i	0.170542	+	0.104476i
$676$	5.78373	−	10.0177i	0.222451	−	0.385297i
$677$	18.6373	+	32.2808i	0.716291	+	1.24065i	0.962460	+	0.271425i	$0.0874949\pi$
$677$	18.6373	+	32.2808i	0.716291	+	1.24065i	−0.246169	+	0.969227i	$0.579172\pi$
$678$	1.80192	+	4.14362i	0.0692024	+	0.159135i
$679$	−0.367571	−	0.408229i	−0.0141061	−	0.0156664i
$680$	0.0850126	+	0.261642i	0.00326009	+	0.0100335i
$681$	16.4231	+	3.64013i	0.629335	+	0.139490i
$682$	4.76730	+	8.05969i	0.182549	+	0.308621i
$683$		−	32.4671i		−	1.24232i	−0.783685	−	0.621159i	$-0.786662\pi$
$683$		−	32.4671i		−	1.24232i	0.783685	−	0.621159i	$-0.213338\pi$
$684$	1.82838	−	14.9021i	0.0699098	−	0.569798i
$685$	10.2224	−	9.20426i	0.390577	−	0.351677i
$686$	−1.02148	−	1.40595i	−0.0390004	−	0.0536795i
$687$	6.28441	+	19.9284i	0.239765	+	0.760317i
$688$	−3.75664	−	2.16890i	−0.143220	−	0.0826884i
$689$	10.4808	−	1.10157i	0.399285	−	0.0419666i
$690$	−4.53130	+	4.00932i	−0.172504	+	0.152632i
$691$	−1.28238	+	12.2010i	−0.0487841	+	0.464149i	0.942673	+	0.333717i	$0.108303\pi$
$691$	−1.28238	+	12.2010i	−0.0487841	+	0.464149i	−0.991457	+	0.130432i	$0.958364\pi$
$692$	17.5123	+	15.7681i	0.665718	+	0.599415i
$693$	−0.411393	−	0.473167i	−0.0156275	−	0.0179741i
$694$	1.25638	−	5.91082i	0.0476916	−	0.224372i
$695$	3.24720	−	0.690213i	0.123173	−	0.0261813i
$696$	−14.9301	+	3.03828i	−0.565925	+	0.115166i
$697$	1.43547	+	0.466413i	0.0543724	+	0.0176667i
$698$	−2.02339	−	0.657440i	−0.0765865	−	0.0248845i
$699$	−37.4077	+	7.61245i	−1.41489	+	0.287929i
$700$	−0.121554	+	0.0258371i	−0.00459430	+	0.000976549i
$701$	−10.5165	+	49.4760i	−0.397201	+	1.86868i	0.0908443	+	0.995865i	$0.471043\pi$
$701$	−10.5165	+	49.4760i	−0.397201	+	1.86868i	−0.488045	+	0.872818i	$0.662290\pi$
$702$	−5.46514	+	2.96829i	−0.206268	+	0.112031i
$703$	38.1804	+	34.3777i	1.44000	+	1.29658i
$704$	0.175800	−	1.67262i	0.00662570	−	0.0630393i
$705$	−3.84213	+	3.39954i	−0.144703	+	0.128034i
$706$	5.99751	−	0.630363i	0.225719	−	0.0237240i
$707$	−0.833422	−	0.481176i	−0.0313441	−	0.0180965i
$708$	0.633460	+	2.00876i	0.0238069	+	0.0754939i
$709$	12.7615	+	17.5646i	0.479267	+	0.659654i	0.978364	−	0.206892i	$-0.0663349\pi$
$709$	12.7615	+	17.5646i	0.479267	+	0.659654i	−0.499097	+	0.866546i	$0.666335\pi$
$710$	11.2665	−	10.1444i	0.422825	−	0.380713i
$711$	28.1736	+	3.45668i	1.05659	+	0.129636i
$712$		−	8.89002i		−	0.333168i
$713$	−0.205124	−	19.4482i	−0.00768196	−	0.728342i
$714$	0.0578112	+	0.0128137i	0.00216353	+	0.000479540i
$715$	−0.622041	−	1.91444i	−0.0232630	−	0.0715962i
$716$	−0.0430558	−	0.0478183i	−0.00160907	−	0.00178705i
$717$	2.86055	+	6.57799i	0.106829	+	0.245659i
$718$	−2.87792	−	4.98471i	−0.107403	−	0.186028i
$719$	12.0315	−	20.8391i	0.448698	−	0.777168i	−0.549603	−	0.835426i	$-0.685221\pi$
$719$	12.0315	−	20.8391i	0.448698	−	0.777168i	0.998302	+	0.0582576i	$0.0185545\pi$
$720$	2.83664	+	0.976447i	0.105715	+	0.0363900i
$721$	1.03022	+	0.748498i	0.0383674	+	0.0278755i
$722$	6.01318	+	0.632011i	0.223788	+	0.0235210i
$723$	−31.8392	+	22.7129i	−1.18411	+	0.844700i
$724$	−6.45933	+	14.5079i	−0.240059	+	0.539182i
$725$	8.60437	+	1.82891i	0.319558	+	0.0679242i
$726$	14.1528	+	0.122867i	0.525260	+	0.00456001i
$727$	−18.1407	+	8.07676i	−0.672801	+	0.299551i	−0.714557	−	0.699577i	$-0.753372\pi$
$727$	−18.1407	+	8.07676i	−0.672801	+	0.299551i	0.0417554	+	0.999128i	$0.486705\pi$
$728$	0.0459621	−	0.141457i	0.00170347	−	0.00524273i
$729$	−26.9634	−	1.40572i	−0.998644	−	0.0520638i
$730$	−2.31783	−	5.20592i	−0.0857866	−	0.192680i
$731$	−0.248113	−	1.16728i	−0.00917677	−	0.0431733i
$732$	−4.82494	−	2.19859i	−0.178335	−	0.0812622i
$733$	−29.3208	−	13.0545i	−1.08299	−	0.482178i	−0.213912	−	0.976853i	$-0.568620\pi$
$733$	−29.3208	−	13.0545i	−1.08299	−	0.482178i	−0.869078	+	0.494675i	$0.835287\pi$
$734$	16.5036	−	18.3291i	0.609157	−	0.676538i
$735$	3.83811	−	11.4726i	0.141571	−	0.423174i
$736$	−2.05325	+	2.82606i	−0.0756839	+	0.104170i
$737$	1.15206	+	10.9611i	0.0424367	+	0.403758i
$738$	13.4817	−	9.44183i	0.496269	−	0.347559i
$739$	−27.1759	+	15.6900i	−0.999682	+	0.577167i	−0.908154	−	0.418636i	$-0.862508\pi$
$739$	−27.1759	+	15.6900i	−0.999682	+	0.577167i	−0.0915279	+	0.995803i	$0.529175\pi$
$740$	−8.30524	+	6.03411i	−0.305307	+	0.221818i
$741$	−5.10927	−	9.02965i	−0.187694	−	0.331713i
$742$	−1.04063	+	0.338121i	−0.0382027	+	0.0124128i
$743$	−6.01158			−0.220543			−0.110272	−	0.993901i	$-0.535172\pi$
$743$	−6.01158			−0.220543			−0.110272	+	0.993901i	$0.535172\pi$
$744$	−8.34264	+	4.83740i	−0.305856	+	0.177348i
$745$	−0.463743			−0.0169902
$746$	15.3334	−	4.98212i	0.561395	−	0.182408i
$747$	4.84388	+	15.8385i	0.177228	+	0.579499i
$748$	0.374319	−	0.271959i	0.0136865	−	0.00994380i
$749$	−1.69374	+	0.977882i	−0.0618879	+	0.0357310i
$750$	−1.27705	−	1.17010i	−0.0466315	−	0.0427260i
$751$	−3.89234	−	37.0332i	−0.142034	−	1.35136i	−0.800764	−	0.598980i	$-0.795573\pi$
$751$	−3.89234	−	37.0332i	−0.142034	−	1.35136i	0.658731	−	0.752379i	$-0.271094\pi$
$752$	−1.74097	+	2.39624i	−0.0634866	+	0.0873818i
$753$	−11.8292	−	3.95741i	−0.431082	−	0.144216i
$754$	−7.04496	+	7.82422i	−0.256562	+	0.284941i
$755$	0.823618	+	0.366698i	0.0299745	+	0.0133455i
$756$	0.490954	−	0.419430i	0.0178558	−	0.0152545i
$757$	−10.6619	−	50.1601i	−0.387512	−	1.82310i	−0.548509	−	0.836144i	$-0.684805\pi$
$757$	−10.6619	−	50.1601i	−0.387512	−	1.82310i	0.160998	−	0.986955i	$-0.448529\pi$
$758$	−10.6944	−	24.0201i	−0.388440	−	0.872450i
$759$	8.76798	+	5.16420i	0.318258	+	0.187449i
$760$	−1.54652	+	4.75968i	−0.0560980	+	0.172652i
$761$	6.71094	−	2.98790i	0.243271	−	0.108311i	−0.281479	−	0.959567i	$-0.590825\pi$
$761$	6.71094	−	2.98790i	0.243271	−	0.108311i	0.524751	+	0.851256i	$0.324158\pi$
$762$	−0.0811090	+	9.34281i	−0.00293827	+	0.338454i
$763$	−2.11928	−	0.450466i	−0.0767229	−	0.0163080i
$764$	−9.65723	+	21.6905i	−0.349386	+	0.784735i
$765$	0.322547	+	0.759682i	0.0116617	+	0.0274664i
$766$	−3.78259	−	0.397566i	−0.136670	−	0.0143646i
$767$	1.17751	+	0.855512i	0.0425175	+	0.0308908i
$768$	1.72093	+	0.195996i	0.0620986	+	0.00707238i
$769$	2.58049	−	4.46955i	0.0930550	−	0.161176i	−0.815740	−	0.578418i	$-0.803670\pi$
$769$	2.58049	−	4.46955i	0.0930550	−	0.161176i	0.908795	+	0.417242i	$0.137003\pi$
$770$	0.104500	+	0.181000i	0.00376593	+	0.00652278i
$771$	9.24351	−	4.01969i	0.332897	−	0.144766i
$772$	−7.91383	−	8.78919i	−0.284825	−	0.316330i
$773$	−12.2154	−	37.5953i	−0.439359

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:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.br (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.951057 - 0.309017i) q^{2} +(-1.50746 + 0.852971i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-1.17010 + 1.27705i) q^{6} +(-0.0129897 - 0.123589i) q^{7} +(0.587785 - 0.809017i) q^{8} +(1.54488 - 2.57164i) q^{9} +O(q^{10})\)	\(q+(0.951057 - 0.309017i) q^{2} +(-1.50746 + 0.852971i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-1.17010 + 1.27705i) q^{6} +(-0.0129897 - 0.123589i) q^{7} +(0.587785 - 0.809017i) q^{8} +(1.54488 - 2.57164i) q^{9} +(-0.669131 + 0.743145i) q^{10} +(1.53643 + 0.684064i) q^{11} +(-0.718198 + 1.57613i) q^{12} +(0.248847 + 1.17073i) q^{13} +(-0.0505449 - 0.113526i) q^{14} +(0.879014 - 1.49243i) q^{15} +(0.309017 - 0.951057i) q^{16} +(0.251322 - 0.111896i) q^{17} +(0.674588 - 2.92317i) q^{18} +(4.89527 + 1.04052i) q^{19} +(-0.406737 + 0.913545i) q^{20} +(0.124999 + 0.175225i) q^{21} +(1.67262 + 0.175800i) q^{22} +(-2.82606 - 2.05325i) q^{23} +(-0.195996 + 1.72093i) q^{24} +(0.500000 - 0.866025i) q^{25} +(0.598443 + 1.03653i) q^{26} +(-0.135312 + 5.19439i) q^{27} +(-0.0831524 - 0.0923502i) q^{28} +(2.71830 + 8.36606i) q^{29} +(0.374808 - 1.69101i) q^{30} +(3.31997 + 4.46965i) q^{31} -1.00000i q^{32} +(-2.89960 + 0.279333i) q^{33} +(0.204444 - 0.184082i) q^{34} +(0.0730437 + 0.100536i) q^{35} +(-0.261739 - 2.98856i) q^{36} +(8.89048 + 5.13292i) q^{37} +(4.97721 - 0.523126i) q^{38} +(-1.37373 - 1.55257i) q^{39} +(-0.104528 + 0.994522i) q^{40} +(4.07719 + 3.67112i) q^{41} +(0.173029 + 0.128022i) q^{42} +(0.901877 - 4.24300i) q^{43} +(1.64508 - 0.349673i) q^{44} +(-0.0520847 + 2.99955i) q^{45} +(-3.32223 - 1.07946i) q^{46} +(-2.81695 - 0.915281i) q^{47} +(0.345392 + 1.69726i) q^{48} +(6.83193 - 1.45217i) q^{49} +(0.207912 - 0.978148i) q^{50} +(-0.283415 + 0.383050i) q^{51} +(0.889460 + 0.800874i) q^{52} +(0.920365 - 8.75669i) q^{53} +(1.47647 + 4.98197i) q^{54} +(-1.67262 + 0.175800i) q^{55} +(-0.107620 - 0.0621347i) q^{56} +(-8.26696 + 2.60697i) q^{57} +(5.17051 + 7.11659i) q^{58} +(0.903708 - 0.813702i) q^{59} +(-0.166088 - 1.72407i) q^{60} +3.06126i q^{61} +(4.53868 + 3.22496i) q^{62} +(-0.337893 - 0.157525i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(-0.800874 - 0.889460i) q^{65} +(-2.67137 + 1.16169i) q^{66} +(3.27663 + 5.67529i) q^{67} +(0.137553 - 0.238249i) q^{68} +(6.01154 + 0.684652i) q^{69} +(0.100536 + 0.0730437i) q^{70} +(-15.0775 - 1.58471i) q^{71} +(-1.17244 - 2.76141i) q^{72} +(-2.31783 + 5.20592i) q^{73} +(10.0415 + 2.13439i) q^{74} +(-0.0150361 + 1.73199i) q^{75} +(4.57196 - 2.03557i) q^{76} +(0.0645848 - 0.198771i) q^{77} +(-1.78626 - 1.05208i) q^{78} +(3.84839 + 8.64362i) q^{79} +(0.207912 + 0.978148i) q^{80} +(-4.22669 - 7.94576i) q^{81} +(5.01207 + 2.23152i) q^{82} +(-3.69418 + 4.10280i) q^{83} +(0.204121 + 0.0682877i) q^{84} +(-0.161704 + 0.222566i) q^{85} +(-0.453423 - 4.31403i) q^{86} +(-11.2337 - 10.2929i) q^{87} +(1.45651 - 0.840918i) q^{88} +(7.19218 - 5.22542i) q^{89} +(0.877376 + 2.86883i) q^{90} +(0.141457 - 0.0459621i) q^{91} -3.49320 q^{92} +(-8.81722 - 3.90598i) q^{93} -2.96191 q^{94} +(-4.75968 + 1.54652i) q^{95} +(0.852971 + 1.50746i) q^{96} +(3.57622 - 2.59827i) q^{97} +(6.04880 - 3.49228i) q^{98} +(4.13277 - 2.89436i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 176q + 44q^{4} + 4q^{7} - 4q^{9} + O(q^{10}) \)	\( 176q + 44q^{4} + 4q^{7} - 4q^{9} - 22q^{10} - 38q^{13} - 44q^{16} + 12q^{18} + 8q^{19} - 18q^{21} - 4q^{22} + 88q^{25} - 90q^{27} + 36q^{28} + 24q^{31} + 18q^{33} + 14q^{34} + 4q^{36} - 42q^{37} - 42q^{39} + 22q^{40} - 12q^{42} - 34q^{43} - 8q^{45} + 10q^{46} + 22q^{49} + 26q^{51} - 2q^{52} + 4q^{55} + 114q^{57} + 32q^{63} + 44q^{64} - 42q^{66} + 20q^{67} + 16q^{69} + 8q^{70} - 12q^{72} - 28q^{73} + 12q^{76} - 92q^{78} - 56q^{79} - 124q^{81} - 32q^{82} - 12q^{84} - 36q^{87} - 6q^{88} + 24q^{90} - 140q^{91} - 104q^{93} - 36q^{94} + 88q^{97} - 60q^{99} + O(q^{100}) \)

Introduction

L-functions

Modular forms

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Fields

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