LMFDB - Embedded newform 930.2.bj.a.277.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(277,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 5, 6]))

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

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

chi := DirichletCharacter("930.277");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bj (of order $20$, 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:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$16$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			277.2
Character	$\chi$	$=$	930.277
Dual form			930.2.bj.a.883.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.156434 - 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-1.27713 + 1.83547i) q^{5} -1.00000i q^{6} +(2.18789 - 4.29397i) q^{7} +(0.453990 + 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})$	\(q+(-0.156434 - 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-1.27713 + 1.83547i) q^{5} -1.00000i q^{6} +(2.18789 - 4.29397i) q^{7} +(0.453990 + 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +(2.01266 + 0.974271i) q^{10} +(-0.276013 + 0.0896822i) q^{11} +(-0.987688 + 0.156434i) q^{12} +(-3.58086 - 0.567152i) q^{13} +(-4.58337 - 1.48923i) q^{14} +(-1.54853 + 1.61309i) q^{15} +(0.809017 - 0.587785i) q^{16} +(0.977933 + 1.91930i) q^{17} +(0.156434 - 0.987688i) q^{18} +(4.35204 - 5.99007i) q^{19} +(0.647427 - 2.14029i) q^{20} +(2.83268 - 3.89884i) q^{21} +(0.131756 + 0.258586i) q^{22} +(5.81943 - 2.96515i) q^{23} +(0.309017 + 0.951057i) q^{24} +(-1.73790 - 4.68825i) q^{25} +3.62550i q^{26} +(0.891007 + 0.453990i) q^{27} +(-0.753894 + 4.75990i) q^{28} +(-6.90823 - 5.01912i) q^{29} +(1.83547 + 1.27713i) q^{30} +(1.88699 + 5.23825i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(-0.286645 + 0.0454000i) q^{33} +(1.74269 - 1.26614i) q^{34} +(5.08725 + 9.49974i) q^{35} -1.00000 q^{36} +(3.55203 - 3.55203i) q^{37} +(-6.59713 - 3.36140i) q^{38} +(-3.44805 - 1.12034i) q^{39} +(-2.21522 - 0.304641i) q^{40} +(1.11095 + 0.807154i) q^{41} +(-4.29397 - 2.18789i) q^{42} +(0.297431 + 1.87790i) q^{43} +(0.234791 - 0.170586i) q^{44} +(-1.78181 + 1.35098i) q^{45} +(-3.83900 - 5.28393i) q^{46} +(6.46848 + 1.02451i) q^{47} +(0.891007 - 0.453990i) q^{48} +(-9.53683 - 13.1263i) q^{49} +(-4.35866 + 2.44991i) q^{50} +(0.665648 + 2.04865i) q^{51} +(3.58086 - 0.567152i) q^{52} +(6.93041 - 3.53122i) q^{53} +(0.309017 - 0.951057i) q^{54} +(0.187895 - 0.621150i) q^{55} +4.81924 q^{56} +(5.23551 - 5.23551i) q^{57} +(-3.87665 + 7.60835i) q^{58} +(-0.457253 - 0.629355i) q^{59} +(0.974271 - 2.01266i) q^{60} -10.2754i q^{61} +(4.87857 - 2.68320i) q^{62} +(3.40771 - 3.40771i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(5.61420 - 5.84824i) q^{65} +(0.0896822 + 0.276013i) q^{66} +(-3.08764 - 3.08764i) q^{67} +(-1.52317 - 1.52317i) q^{68} +(6.21164 - 2.01828i) q^{69} +(8.58696 - 6.51070i) q^{70} +(1.27106 - 3.91193i) q^{71} +(0.156434 + 0.987688i) q^{72} +(-4.41111 + 8.65730i) q^{73} +(-4.06396 - 2.95264i) q^{74} +(-0.983099 - 4.90240i) q^{75} +(-2.28800 + 7.04175i) q^{76} +(-0.218794 + 1.38141i) q^{77} +(-0.567152 + 3.58086i) q^{78} +(2.52756 - 7.77902i) q^{79} +(0.0456458 + 2.23560i) q^{80} +(0.809017 + 0.587785i) q^{81} +(0.623425 - 1.22354i) q^{82} +(-0.523911 - 3.30785i) q^{83} +(-1.48923 + 4.58337i) q^{84} +(-4.77176 - 0.656223i) q^{85} +(1.80826 - 0.587538i) q^{86} +(-6.03802 - 6.03802i) q^{87} +(-0.205215 - 0.205215i) q^{88} +(0.737317 + 2.26923i) q^{89} +(1.61309 + 1.54853i) q^{90} +(-10.2699 + 14.1352i) q^{91} +(-4.61833 + 4.61833i) q^{92} +(1.04432 + 5.46895i) q^{93} -6.54911i q^{94} +(5.43649 + 15.6381i) q^{95} +(-0.587785 - 0.809017i) q^{96} +(-5.53372 + 10.8605i) q^{97} +(-11.4728 + 11.4728i) q^{98} -0.290218 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q - 16 q^{7}+O(q^{10}) $ 128 * q - 16 * q^7	$ 128 q - 16 q^{7} - 4 q^{10} + 4 q^{15} + 32 q^{16} - 12 q^{17} - 40 q^{19} + 40 q^{21} + 16 q^{22} - 32 q^{24} - 8 q^{25} - 4 q^{28} + 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} + 64 q^{37} - 16 q^{38} - 24 q^{41} + 4 q^{42} + 24 q^{43} - 8 q^{44} + 20 q^{46} + 108 q^{47} - 100 q^{49} - 24 q^{50} + 16 q^{53} - 32 q^{54} + 12 q^{55} + 16 q^{57} - 40 q^{58} - 16 q^{62} - 4 q^{63} + 36 q^{65} - 12 q^{66} - 32 q^{67} + 8 q^{68} - 32 q^{70} + 24 q^{71} + 60 q^{73} - 16 q^{74} + 24 q^{75} - 24 q^{76} - 20 q^{77} - 56 q^{79} + 32 q^{81} - 16 q^{82} - 8 q^{83} - 132 q^{85} - 20 q^{87} - 4 q^{88} + 136 q^{89} - 40 q^{91} - 64 q^{93} + 108 q^{95} + 64 q^{97} - 16 q^{98} - 8 q^{99}+O(q^{100}) $ 128 * q - 16 * q^7 - 4 * q^10 + 4 * q^15 + 32 * q^16 - 12 * q^17 - 40 * q^19 + 40 * q^21 + 16 * q^22 - 32 * q^24 - 8 * q^25 - 4 * q^28 + 8 * q^29 + 20 * q^31 + 4 * q^33 + 24 * q^35 - 128 * q^36 + 64 * q^37 - 16 * q^38 - 24 * q^41 + 4 * q^42 + 24 * q^43 - 8 * q^44 + 20 * q^46 + 108 * q^47 - 100 * q^49 - 24 * q^50 + 16 * q^53 - 32 * q^54 + 12 * q^55 + 16 * q^57 - 40 * q^58 - 16 * q^62 - 4 * q^63 + 36 * q^65 - 12 * q^66 - 32 * q^67 + 8 * q^68 - 32 * q^70 + 24 * q^71 + 60 * q^73 - 16 * q^74 + 24 * q^75 - 24 * q^76 - 20 * q^77 - 56 * q^79 + 32 * q^81 - 16 * q^82 - 8 * q^83 - 132 * q^85 - 20 * q^87 - 4 * q^88 + 136 * q^89 - 40 * q^91 - 64 * q^93 + 108 * q^95 + 64 * q^97 - 16 * q^98 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$187$	$311$	$871$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$1$	$e\left(\frac{3}{10}\right)$

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 $

$2$	−0.156434	−	0.987688i	−0.110616	−	0.698401i
$2$	−0.156434	−	0.987688i	−0.110616	−	0.698401i
$3$	0.987688	+	0.156434i	0.570242	+	0.0903175i
$3$	0.987688	+	0.156434i	0.570242	+	0.0903175i
$4$	−0.951057	+	0.309017i	−0.475528	+	0.154508i
$5$	−1.27713	+	1.83547i	−0.571148	+	0.820847i
$5$	−1.27713	+	1.83547i	−0.571148	+	0.820847i
$6$		−	1.00000i		−	0.408248i
$7$	2.18789	−	4.29397i	0.826944	−	1.62297i	0.0455231	−	0.998963i	$-0.485505\pi$
$7$	2.18789	−	4.29397i	0.826944	−	1.62297i	0.781420	−	0.624005i	$-0.214495\pi$
$8$	0.453990	+	0.891007i	0.160510	+	0.315018i
$9$	0.951057	+	0.309017i	0.317019	+	0.103006i
$10$	2.01266	+	0.974271i	0.636459	+	0.308092i
$11$	−0.276013	+	0.0896822i	−0.0832212	+	0.0270402i	−0.350332	−	0.936626i	$-0.613931\pi$
$11$	−0.276013	+	0.0896822i	−0.0832212	+	0.0270402i	0.267110	+	0.963666i	$0.413931\pi$
$12$	−0.987688	+	0.156434i	−0.285121	+	0.0451587i
$13$	−3.58086	−	0.567152i	−0.993152	−	0.157300i	−0.361350	−	0.932430i	$-0.617684\pi$
$13$	−3.58086	−	0.567152i	−0.993152	−	0.157300i	−0.631801	+	0.775130i	$0.717684\pi$
$14$	−4.58337	−	1.48923i	−1.22496	−	0.398012i
$15$	−1.54853	+	1.61309i	−0.399829	+	0.416497i
$16$	0.809017	−	0.587785i	0.202254	−	0.146946i
$17$	0.977933	+	1.91930i	0.237184	+	0.465499i	0.978662	−	0.205478i	$-0.0658749\pi$
$17$	0.977933	+	1.91930i	0.237184	+	0.465499i	−0.741478	+	0.670977i	$0.765875\pi$
$18$	0.156434	−	0.987688i	0.0368720	−	0.232800i
$19$	4.35204	−	5.99007i	0.998426	−	1.37422i	0.0721399	−	0.997395i	$-0.477017\pi$
$19$	4.35204	−	5.99007i	0.998426	−	1.37422i	0.926286	−	0.376821i	$-0.122983\pi$
$20$	0.647427	−	2.14029i	0.144769	−	0.478583i
$21$	2.83268	−	3.89884i	0.618140	−	0.850797i
$22$	0.131756	+	0.258586i	0.0280905	+	0.0551307i
$23$	5.81943	−	2.96515i	1.21344	−	0.618276i	0.274240	−	0.961661i	$-0.411574\pi$
$23$	5.81943	−	2.96515i	1.21344	−	0.618276i	0.939195	+	0.343385i	$0.111574\pi$
$24$	0.309017	+	0.951057i	0.0630778	+	0.194134i
$25$	−1.73790	−	4.68825i	−0.347580	−	0.937650i
$26$			3.62550i			0.711018i
$27$	0.891007	+	0.453990i	0.171474	+	0.0873705i
$28$	−0.753894	+	4.75990i	−0.142473	+	0.899537i
$29$	−6.90823	−	5.01912i	−1.28283	−	0.932028i	−0.283192	−	0.959063i	$-0.591393\pi$
$29$	−6.90823	−	5.01912i	−1.28283	−	0.932028i	−0.999634	+	0.0270351i	$0.991393\pi$
$30$	1.83547	+	1.27713i	0.335109	+	0.233170i
$31$	1.88699	+	5.23825i	0.338914	+	0.940817i
$31$	1.88699	+	5.23825i	0.338914	+	0.940817i
$32$	−0.707107	−	0.707107i	−0.125000	−	0.125000i
$33$	−0.286645	+	0.0454000i	−0.0498984	+	0.00790313i
$34$	1.74269	−	1.26614i	0.298869	−	0.217141i
$35$	5.08725	+	9.49974i	0.859902	+	1.60575i
$36$	−1.00000			−0.166667
$37$	3.55203	−	3.55203i	0.583950	−	0.583950i	−0.352036	−	0.935986i	$-0.614511\pi$
$37$	3.55203	−	3.55203i	0.583950	−	0.583950i	0.935986	+	0.352036i	$0.114511\pi$
$38$	−6.59713	−	3.36140i	−1.07020	−	0.545292i
$39$	−3.44805	−	1.12034i	−0.552130	−	0.179398i
$40$	−2.21522	−	0.304641i	−0.350257	−	0.0481680i
$41$	1.11095	+	0.807154i	0.173501	+	0.126056i	0.671147	−	0.741324i	$-0.265802\pi$
$41$	1.11095	+	0.807154i	0.173501	+	0.126056i	−0.497645	+	0.867381i	$0.665802\pi$
$42$	−4.29397	−	2.18789i	−0.662574	−	0.337598i
$43$	0.297431	+	1.87790i	0.0453578	+	0.286378i	0.999933	−	0.0115929i	$-0.00369022\pi$
$43$	0.297431	+	1.87790i	0.0453578	+	0.286378i	−0.954575	+	0.297971i	$0.903690\pi$
$44$	0.234791	−	0.170586i	0.0353961	−	0.0257168i
$45$	−1.78181	+	1.35098i	−0.265617	+	0.201393i
$46$	−3.83900	−	5.28393i	−0.566030	−	0.779073i
$47$	6.46848	+	1.02451i	0.943524	+	0.149440i	0.609198	−	0.793018i	$-0.291491\pi$
$47$	6.46848	+	1.02451i	0.943524	+	0.149440i	0.334326	+	0.942457i	$0.391491\pi$
$48$	0.891007	−	0.453990i	0.128606	−	0.0655279i
$49$	−9.53683	−	13.1263i	−1.36240	−	1.87519i
$50$	−4.35866	+	2.44991i	−0.616408	+	0.346469i
$51$	0.665648	+	2.04865i	0.0932094	+	0.286869i
$52$	3.58086	−	0.567152i	0.496576	−	0.0786499i
$53$	6.93041	−	3.53122i	0.951965	−	0.485050i	0.0921999	−	0.995741i	$-0.470610\pi$
$53$	6.93041	−	3.53122i	0.951965	−	0.485050i	0.859765	+	0.510690i	$0.170610\pi$
$54$	0.309017	−	0.951057i	0.0420519	−	0.129422i
$55$	0.187895	−	0.621150i	0.0253357	−	0.0837558i
$56$	4.81924			0.643997
$57$	5.23551	−	5.23551i	0.693460	−	0.693460i
$58$	−3.87665	+	7.60835i	−0.509028	+	0.999025i
$59$	−0.457253	−	0.629355i	−0.0595293	−	0.0819351i	0.778214	−	0.627999i	$-0.216126\pi$
$59$	−0.457253	−	0.629355i	−0.0595293	−	0.0819351i	−0.837744	+	0.546064i	$0.816126\pi$
$60$	0.974271	−	2.01266i	0.125778	−	0.259833i
$61$		−	10.2754i		−	1.31564i	−0.753177	−	0.657818i	$-0.771480\pi$
$61$		−	10.2754i		−	1.31564i	0.753177	−	0.657818i	$-0.228520\pi$
$62$	4.87857	−	2.68320i	0.619579	−	0.340767i
$63$	3.40771	−	3.40771i	0.429332	−	0.429332i
$64$	−0.587785	+	0.809017i	−0.0734732	+	0.101127i
$65$	5.61420	−	5.84824i	0.696356	−	0.725384i
$66$	0.0896822	+	0.276013i	0.0110391	+	0.0339749i
$67$	−3.08764	−	3.08764i	−0.377215	−	0.377215i	0.492881	−	0.870097i	$-0.335944\pi$
$67$	−3.08764	−	3.08764i	−0.377215	−	0.377215i	−0.870097	+	0.492881i	$0.835944\pi$
$68$	−1.52317	−	1.52317i	−0.184711	−	0.184711i
$69$	6.21164	−	2.01828i	0.747793	−	0.242973i
$70$	8.58696	−	6.51070i	1.02634	−	0.778178i
$71$	1.27106	−	3.91193i	0.150848	−	0.464261i	−0.846869	−	0.531802i	$-0.821515\pi$
$71$	1.27106	−	3.91193i	0.150848	−	0.464261i	0.997717	+	0.0675405i	$0.0215152\pi$
$72$	0.156434	+	0.987688i	0.0184360	+	0.116400i
$73$	−4.41111	+	8.65730i	−0.516282	+	1.01326i	0.474811	+	0.880088i	$0.342516\pi$
$73$	−4.41111	+	8.65730i	−0.516282	+	1.01326i	−0.991093	+	0.133172i	$0.957484\pi$
$74$	−4.06396	−	2.95264i	−0.472426	−	0.343237i
$75$	−0.983099	−	4.90240i	−0.113519	−	0.566080i
$76$	−2.28800	+	7.04175i	−0.262452	+	0.807744i
$77$	−0.218794	+	1.38141i	−0.0249338	+	0.157426i
$78$	−0.567152	+	3.58086i	−0.0642174	+	0.405453i
$79$	2.52756	−	7.77902i	0.284372	−	0.875208i	−0.702214	−	0.711966i	$-0.747805\pi$
$79$	2.52756	−	7.77902i	0.284372	−	0.875208i	0.986586	−	0.163242i	$-0.0521951\pi$
$80$	0.0456458	+	2.23560i	0.00510335	+	0.249948i
$81$	0.809017	+	0.587785i	0.0898908	+	0.0653095i
$82$	0.623425	−	1.22354i	0.0688458	−	0.135117i
$83$	−0.523911	−	3.30785i	−0.0575067	−	0.363083i	−0.999614	−	0.0277723i	$-0.991159\pi$
$83$	−0.523911	−	3.30785i	−0.0575067	−	0.363083i	0.942108	−	0.335311i	$-0.108841\pi$
$84$	−1.48923	+	4.58337i	−0.162488	+	0.500086i
$85$	−4.77176	−	0.656223i	−0.517571	−	0.0711774i
$86$	1.80826	−	0.587538i	0.194989	−	0.0633559i
$87$	−6.03802	−	6.03802i	−0.647343	−	0.647343i
$88$	−0.205215	−	0.205215i	−0.0218760	−	0.0218760i
$89$	0.737317	+	2.26923i	0.0781555	+	0.240538i	0.982499	−	0.186267i	$-0.0596390\pi$
$89$	0.737317	+	2.26923i	0.0781555	+	0.240538i	−0.904344	+	0.426805i	$0.859639\pi$
$90$	1.61309	+	1.54853i	0.170034	+	0.163230i
$91$	−10.2699	+	14.1352i	−1.07657	+	1.48178i
$92$	−4.61833	+	4.61833i	−0.481494	+	0.481494i
$93$	1.04432	+	5.46895i	0.108291	+	0.567104i
$94$		−	6.54911i		−	0.675489i
$95$	5.43649	+	15.6381i	0.557772	+	1.60444i
$96$	−0.587785	−	0.809017i	−0.0599906	−	0.0825700i
$97$	−5.53372	+	10.8605i	−0.561865	+	1.10272i	0.418992	+	0.907990i	$0.362384\pi$
$97$	−5.53372	+	10.8605i	−0.561865	+	1.10272i	−0.980857	+	0.194731i	$0.937616\pi$
$98$	−11.4728	+	11.4728i	−1.15893	+	1.15893i
$99$	−0.290218			−0.0291680
$100$	3.10159	+	3.92175i	0.310159	+	0.392175i
$101$	−5.13098	+	15.7915i	−0.510552	+	1.57132i	0.280680	+	0.959801i	$0.409440\pi$
$101$	−5.13098	+	15.7915i	−0.510552	+	1.57132i	−0.791232	+	0.611516i	$0.790560\pi$
$102$	1.91930	−	0.977933i	0.190039	−	0.0968298i
$103$	−3.22589	+	0.510931i	−0.317856	+	0.0503435i	−0.313324	−	0.949646i	$-0.601443\pi$
$103$	−3.22589	+	0.510931i	−0.317856	+	0.0503435i	−0.00453220	+	0.999990i	$0.501443\pi$
$104$	−1.12034	−	3.44805i	−0.109858	−	0.338109i
$105$	3.53853	+	10.1786i	0.345325	+	0.993330i
$106$	−4.57190	−	6.29268i	−0.444062	−	0.611199i
$107$	−7.98822	+	4.07020i	−0.772250	+	0.393481i	−0.795271	−	0.606254i	$-0.792672\pi$
$107$	−7.98822	+	4.07020i	−0.772250	+	0.393481i	0.0230208	+	0.999735i	$0.492672\pi$
$108$	−0.987688	−	0.156434i	−0.0950404	−	0.0150529i
$109$	0.191430	+	0.263480i	0.0183356	+	0.0252368i	0.818086	−	0.575095i	$-0.195035\pi$
$109$	0.191430	+	0.263480i	0.0183356	+	0.0252368i	−0.799751	+	0.600332i	$0.795035\pi$
$110$	−0.642896	−	0.0884123i	−0.0612977	−	0.00842978i
$111$	4.06396	−	2.95264i	0.385734	−	0.280252i
$112$	−0.753894	−	4.75990i	−0.0712363	−	0.449769i
$113$	6.39131	+	3.25654i	0.601244	+	0.306349i	0.727992	−	0.685586i	$-0.240454\pi$
$113$	6.39131	+	3.25654i	0.601244	+	0.306349i	−0.126748	+	0.991935i	$0.540454\pi$
$114$	−5.99007	−	4.35204i	−0.561021	−	0.407606i
$115$	−1.98970	+	14.4683i	−0.185541	+	1.34917i
$116$	8.12111	+	2.63871i	0.754027	+	0.244998i
$117$	−3.23034	−	1.64594i	−0.298645	−	0.152167i
$118$	−0.550077	+	0.550077i	−0.0506387	+	0.0506387i
$119$	10.3810			0.951628
$120$	−2.14029	−	0.647427i	−0.195381	−	0.0591018i
$121$	−8.83105	+	6.41613i	−0.802822	+	0.583285i
$122$	−10.1489	+	1.60743i	−0.918841	+	0.145530i
$123$	0.971007	+	0.971007i	0.0875528	+	0.0875528i
$124$	−3.41334	−	4.39876i	−0.306527	−	0.395020i
$125$	10.8247	+	2.79762i	0.968187	+	0.250227i
$126$	−3.89884	−	2.83268i	−0.347337	−	0.252355i
$127$	1.56997	−	9.91243i	0.139313	−	0.879586i	−0.814714	−	0.579863i	$-0.803106\pi$
$127$	1.56997	−	9.91243i	0.139313	−	0.879586i	0.954026	−	0.299723i	$-0.0968941\pi$
$128$	0.891007	+	0.453990i	0.0787546	+	0.0401275i
$129$			1.90131i			0.167401i
$130$	−6.65449	−	4.63021i	−0.583637	−	0.406097i
$131$	2.67871	+	8.24422i	0.234040	+	0.720301i	0.997247	+	0.0741472i	$0.0236235\pi$
$131$	2.67871	+	8.24422i	0.234040	+	0.720301i	−0.763207	+	0.646154i	$0.776377\pi$
$132$	0.258586	−	0.131756i	0.0225070	−	0.0114679i
$133$	−16.1994	−	31.7931i	−1.40467	−	2.75681i
$134$	−2.56661	+	3.53264i	−0.221722	+	0.305173i
$135$	−1.97121	+	1.05561i	−0.169655	+	0.0908527i
$136$	−1.26614	+	1.74269i	−0.108570	+	0.149434i
$137$	−0.368548	+	2.32692i	−0.0314872	+	0.198802i	−0.998417	−	0.0562391i	$-0.982089\pi$
$137$	−0.368548	+	2.32692i	−0.0314872	+	0.198802i	0.966930	+	0.255041i	$0.0820891\pi$
$138$	−2.96515	−	5.81943i	−0.252410	−	0.495383i
$139$	2.18039	−	1.58415i	0.184938	−	0.134365i	−0.491464	−	0.870898i	$-0.663538\pi$
$139$	2.18039	−	1.58415i	0.184938	−	0.134365i	0.676402	+	0.736532i	$0.263538\pi$
$140$	−7.77384	−	7.46274i	−0.657009	−	0.630717i
$141$	6.22857	+	2.02379i	0.524540	+	0.170433i
$142$	−4.06261	−	0.643454i	−0.340927	−	0.0539975i
$143$	1.03923	−	0.164598i	0.0869047	−	0.0137643i
$144$	0.951057	−	0.309017i	0.0792547	−	0.0257514i
$145$	18.0351	−	6.26980i	1.49774	−	0.520679i
$146$	9.24076	+	3.00251i	0.764771	+	0.248489i
$147$	−7.36601	−	14.4566i	−0.607538	−	1.19236i
$148$	−2.28054	+	4.47582i	−0.187460	+	0.367910i
$149$			3.53416i			0.289530i	0.989466	+	0.144765i	$0.0462426\pi$
$149$			3.53416i			0.289530i	−0.989466	+	0.144765i	$0.953757\pi$
$150$	−4.68825	+	1.73790i	−0.382794	+	0.141899i
$151$	4.05302	−	1.31691i	0.329830	−	0.107168i	−0.139421	−	0.990233i	$-0.544524\pi$
$151$	4.05302	−	1.31691i	0.329830	−	0.107168i	0.469251	+	0.883065i	$0.344524\pi$
$152$	7.31297	+	1.15826i	0.593160	+	0.0939474i
$153$	0.336973	+	2.12756i	0.0272426	+	0.172003i
$154$	1.39863			0.112705
$155$	−12.0246	−	3.22639i	−0.965837	−	0.259150i
$156$	3.62550			0.290272
$157$	3.57248	+	22.5557i	0.285115	+	1.80014i	0.549251	+	0.835658i	$0.314913\pi$
$157$	3.57248	+	22.5557i	0.285115	+	1.80014i	−0.264136	+	0.964485i	$0.585087\pi$
$158$	−8.07864	−	1.27953i	−0.642702	−	0.101794i
$159$	7.39749	−	2.40359i	0.586659	−	0.190617i
$160$	2.20094	−	0.394809i	0.173999	−	0.0312124i
$161$		−	31.4759i		−	2.48065i
$162$	0.453990	−	0.891007i	0.0356689	−	0.0700041i
$163$	8.49348	+	16.6694i	0.665261	+	1.30565i	0.939024	+	0.343851i	$0.111731\pi$
$163$	8.49348	+	16.6694i	0.665261	+	1.30565i	−0.273764	+	0.961797i	$0.588269\pi$
$164$	−1.30600	−	0.424346i	−0.101982	−	0.0331358i
$165$	0.282751	−	0.584109i	0.0220121	−	0.0454728i
$166$	−3.18516	+	1.03492i	−0.247217	+	0.0803255i
$167$	−17.5844	+	2.78510i	−1.36072	+	0.215517i	−0.793763	−	0.608228i	$-0.791881\pi$
$167$	−17.5844	+	2.78510i	−1.36072	+	0.215517i	−0.566960	+	0.823745i	$0.691881\pi$
$168$	4.75990	+	0.753894i	0.367234	+	0.0581642i
$169$	0.137159	+	0.0445657i	0.0105507	+	0.00342813i
$170$	0.0983248	+	4.81567i	0.00754117	+	0.369345i
$171$	5.99007	−	4.35204i	0.458072	−	0.332809i
$172$	−0.863178	−	1.69408i	−0.0658167	−	0.129173i
$173$	−3.26073	+	20.5874i	−0.247909	+	1.56523i	0.478572	+	0.878048i	$0.341154\pi$
$173$	−3.26073	+	20.5874i	−0.247909	+	1.56523i	−0.726481	+	0.687187i	$0.758846\pi$
$174$	−5.01912	+	6.90823i	−0.380499	+	0.523712i
$175$	−23.9335	−	2.79487i	−1.80921	−	0.211273i
$176$	−0.170586	+	0.234791i	−0.0128584	+	0.0176980i
$177$	−0.353171	−	0.693137i	−0.0265460	−	0.0520994i
$178$	2.12595	−	1.08323i	0.159347	−	0.0811912i
$179$	0.677577	+	2.08537i	0.0506445	+	0.155868i	0.973180	−	0.230044i	$-0.0738870\pi$
$179$	0.677577	+	2.08537i	0.0506445	+	0.155868i	−0.922536	+	0.385912i	$0.873887\pi$
$180$	1.27713	−	1.83547i	0.0951913	−	0.136808i
$181$		−	8.26350i		−	0.614221i	−0.951674	−	0.307111i	$-0.900638\pi$
$181$		−	8.26350i		−	0.614221i	0.951674	−	0.307111i	$-0.0993621\pi$
$182$	15.5678	+	7.93217i	1.15396	+	0.587972i
$183$	1.60743	−	10.1489i	0.118825	−	0.750231i
$184$	5.28393	+	3.83900i	0.389537	+	0.283015i
$185$	1.98326	+	11.0560i	0.145812	+	0.812856i
$186$	5.23825	−	1.88699i	0.384087	−	0.138361i
$187$	−0.442050	−	0.442050i	−0.0323259	−	0.0323259i
$188$	−6.46848	+	1.02451i	−0.471762	+	0.0747198i
$189$	3.89884	−	2.83268i	0.283599	−	0.206047i
$190$	14.5951	−	7.81589i	1.05884	−	0.567025i
$191$	16.5400			1.19679			0.598395	−	0.801201i	$-0.295805\pi$
$191$	16.5400			1.19679			0.598395	+	0.801201i	$0.295805\pi$
$192$	−0.707107	+	0.707107i	−0.0510310	+	0.0510310i
$193$	13.7393	+	7.00052i	0.988975	+	0.503908i	0.872147	−	0.489244i	$-0.162727\pi$
$193$	13.7393	+	7.00052i	0.988975	+	0.503908i	0.116828	+	0.993152i	$0.462727\pi$
$194$	11.5925	+	3.76663i	0.832293	+	0.270428i
$195$	6.45994	−	4.89798i	0.462606	−	0.350752i
$196$	13.1263	+	9.53683i	0.937595	+	0.681202i
$197$	−7.40554	−	3.77331i	−0.527623	−	0.268837i	0.169823	−	0.985475i	$-0.445680\pi$
$197$	−7.40554	−	3.77331i	−0.527623	−	0.268837i	−0.697446	+	0.716637i	$0.745680\pi$
$198$	0.0454000	+	0.286645i	0.00322644	+	0.0203709i
$199$	10.8380	−	7.87427i	0.768286	−	0.558192i	−0.133155	−	0.991095i	$-0.542511\pi$
$199$	10.8380	−	7.87427i	0.768286	−	0.558192i	0.901440	+	0.432903i	$0.142511\pi$
$200$	3.38827	−	3.67690i	0.239587	−	0.259996i
$201$	−2.56661	−	3.53264i	−0.181035	−	0.249173i
$202$	16.3998	+	2.59747i	1.15389	+	0.182757i
$203$	−36.6664	+	18.6825i	−2.57348	+	1.31125i
$204$	−1.26614	−	1.74269i	−0.0886474	−	0.122013i
$205$	−2.90033	+	1.00828i	−0.202568	+	0.0704215i
$206$	1.00928	+	3.10625i	0.0703199	+	0.216422i
$207$	6.45089	−	1.02172i	0.448368	−	0.0710145i
$208$	−3.23034	+	1.64594i	−0.223984	+	0.114125i
$209$	−0.664019	+	2.04364i	−0.0459311	+	0.141361i
$210$	9.49974	−	5.08725i	0.655544	−	0.351053i
$211$	8.17064			0.562490			0.281245	−	0.959636i	$-0.409253\pi$
$211$	8.17064			0.562490			0.281245	+	0.959636i	$0.409253\pi$
$212$	−5.50000	+	5.50000i	−0.377742	+	0.377742i
$213$	1.86738	−	3.66493i	0.127951	−	0.251117i
$214$	5.26972	+	7.25315i	0.360231	+	0.495815i
$215$	−3.82669	−	1.85239i	−0.260978	−	0.126332i
$216$			1.00000i			0.0680414i
$217$	26.6214	+	3.35801i	1.80718	+	0.227957i
$218$	0.230290	−	0.230290i	0.0155972	−	0.0155972i
$219$	−5.71110	+	7.86066i	−0.385921	+	0.531174i
$220$	0.0132472	+	0.648811i	0.000893127	+	0.0437428i
$221$	−2.41330	−	7.42739i	−0.162336	−	0.499620i
$222$	−3.55203	−	3.55203i	−0.238397	−	0.238397i
$223$	9.58768	+	9.58768i	0.642038	+	0.642038i	0.951056	−	0.309018i	$-0.100000\pi$
$223$	9.58768	+	9.58768i	0.642038	+	0.642038i	−0.309018	+	0.951056i	$0.600000\pi$
$224$	−4.58337	+	1.48923i	−0.306239	+	0.0995031i
$225$	−0.204092	−	4.99583i	−0.0136061	−	0.333056i
$226$	2.21662	−	6.82206i	0.147447	−	0.453797i
$227$	−1.43354	−	9.05104i	−0.0951477	−	0.600739i	−0.988481	−	0.151344i	$-0.951640\pi$
$227$	−1.43354	−	9.05104i	−0.0951477	−	0.600739i	0.893333	−	0.449394i	$-0.148360\pi$
$228$	−3.36140	+	6.59713i	−0.222614	+	0.436905i
$229$	3.89854	+	2.83245i	0.257623	+	0.187174i	0.709098	−	0.705110i	$-0.249102\pi$
$229$	3.89854	+	2.83245i	0.257623	+	0.187174i	−0.451476	+	0.892283i	$0.649102\pi$
$230$	14.6014	−	0.298126i	0.962787	−	0.0196579i
$231$	−0.432200	+	1.33017i	−0.0284366	+	0.0875190i
$232$	1.33580	−	8.43392i	0.0876996	−	0.553714i
$233$	−4.58193	+	28.9292i	−0.300172	+	1.89521i	0.128430	+	0.991719i	$0.459006\pi$
$233$	−4.58193	+	28.9292i	−0.300172	+	1.89521i	−0.428602	+	0.903493i	$0.640994\pi$
$234$	−1.12034	+	3.44805i	−0.0732389	+	0.225406i
$235$	−10.1415	+	10.5643i	−0.661559	+	0.689137i
$236$	0.629355	+	0.457253i	0.0409675	+	0.0297647i
$237$	3.71335	−	7.28785i	0.241208	−	0.473397i
$238$	−1.62395	−	10.2532i	−0.105265	−	0.664618i
$239$	−4.67702	+	14.3944i	−0.302532	+	0.931096i	0.678055	+	0.735011i	$0.262823\pi$
$239$	−4.67702	+	14.3944i	−0.302532	+	0.931096i	−0.980587	+	0.196085i	$0.937177\pi$
$240$	−0.304641	+	2.21522i	−0.0196645	+	0.142992i
$241$	24.8138	−	8.06249i	1.59840	−	0.519351i	0.631687	−	0.775223i	$-0.282363\pi$
$241$	24.8138	−	8.06249i	1.59840	−	0.519351i	0.966711	+	0.255872i	$0.0823627\pi$
$242$	7.71862	+	7.71862i	0.496172	+	0.496172i
$243$	0.707107	+	0.707107i	0.0453609	+	0.0453609i
$244$	3.17529	+	9.77253i	0.203277	+	0.625622i
$245$	36.2727	−	0.740604i	2.31738	−	0.0473155i
$246$	0.807154	−	1.11095i	0.0514622	−	0.0708317i
$247$	−18.9813	+	18.9813i	−1.20775	+	1.20775i
$248$	−3.81064	+	4.05944i	−0.241976	+	0.257775i
$249$		−	3.34908i		−	0.212239i
$250$	1.06983	−	11.1290i	0.0676620	−	0.703862i
$251$	−9.19883	−	12.6611i	−0.580625	−	0.799162i	0.413139	−	0.910668i	$-0.364432\pi$
$251$	−9.19883	−	12.6611i	−0.580625	−	0.799162i	−0.993764	+	0.111507i	$0.964432\pi$
$252$	−2.18789	+	4.29397i	−0.137824	+	0.270495i
$253$	−1.34032	+	1.34032i	−0.0842652	+	0.0842652i
$254$	−10.0360			−0.629714
$255$	−4.61036	−	1.39461i	−0.288712	−	0.0873340i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	−3.06886	+	1.56366i	−0.191430	+	0.0975384i	−0.547078	−	0.837081i	$-0.684260\pi$
$257$	−3.06886	+	1.56366i	−0.191430	+	0.0975384i	0.355648	+	0.934620i	$0.384260\pi$
$258$	1.87790	−	0.297431i	0.116913	−	0.0185172i
$259$	−7.48087	−	23.0237i	−0.464839	−	1.43063i
$260$	−3.53222	+	7.29689i	−0.219059	+	0.452534i
$261$	−5.01912	−	6.90823i	−0.310676	−	0.427609i
$262$	7.72368	−	3.93541i	0.477170	−	0.243130i
$263$	17.1341	+	2.71378i	1.05654	+	0.167339i	0.660446	−	0.750873i	$-0.270367\pi$
$263$	17.1341	+	2.71378i	1.05654	+	0.167339i	0.396089	+	0.918212i	$0.370367\pi$
$264$	−0.170586	−	0.234791i	−0.0104988	−	0.0144504i
$265$	−2.36956	+	17.2304i	−0.145561	+	1.05845i
$266$	−28.8675	+	20.9735i	−1.76998	+	1.28597i
$267$	0.373254	+	2.35663i	0.0228428	+	0.144224i
$268$	3.89065	+	1.98239i	0.237659	+	0.121094i
$269$	−16.5007	−	11.9884i	−1.00606	−	0.730948i	−0.0426839	−	0.999089i	$-0.513591\pi$
$269$	−16.5007	−	11.9884i	−1.00606	−	0.730948i	−0.963380	+	0.268141i	$0.913591\pi$
$270$	1.35098	+	1.78181i	0.0822182	+	0.108438i
$271$	12.7325	+	4.13704i	0.773445	+	0.251307i	0.669039	−	0.743227i	$-0.266706\pi$
$271$	12.7325	+	4.13704i	0.773445	+	0.251307i	0.104406	+	0.994535i	$0.466706\pi$
$272$	1.91930	+	0.977933i	0.116375	+	0.0592959i
$273$	−12.3547	+	12.3547i	−0.747738	+	0.747738i
$274$	2.35593			0.142327
$275$	0.900136	+	1.13816i	0.0542803	+	0.0686337i
$276$	−5.28393	+	3.83900i	−0.318055	+	0.231081i
$277$	−2.47886	+	0.392612i	−0.148940	+	0.0235898i	−0.230459	−	0.973082i	$-0.574023\pi$
$277$	−2.47886	+	0.392612i	−0.148940	+	0.0235898i	0.0815192	+	0.996672i	$0.474023\pi$
$278$	−1.90573	−	1.90573i	−0.114298	−	0.114298i
$279$	0.175928	+	5.56498i	0.0105325	+	0.333167i
$280$	−6.15477	+	8.84556i	−0.367818	+	0.528623i
$281$	−9.19635	−	6.68154i	−0.548608	−	0.398587i	0.278664	−	0.960389i	$-0.410108\pi$
$281$	−9.19635	−	6.68154i	−0.548608	−	0.398587i	−0.827272	+	0.561801i	$0.810108\pi$
$282$	1.02451	−	6.46848i	0.0610085	−	0.385192i
$283$	−26.4828	−	13.4936i	−1.57424	−	0.802114i	−0.574372	−	0.818594i	$-0.694754\pi$
$283$	−26.4828	−	13.4936i	−1.57424	−	0.802114i	−0.999864	+	0.0164806i	$0.994754\pi$
$284$			4.11325i			0.244077i
$285$	2.92322	+	16.2960i	0.173156	+	0.965293i
$286$	−0.325142	−	1.00069i	−0.0192261	−	0.0591718i
$287$	5.89653	−	3.00443i	0.348061	−	0.177346i
$288$	−0.453990	−	0.891007i	−0.0267516	−	0.0525031i
$289$	7.26498	−	9.99939i	0.427352	−	0.588199i
$290$	−9.01393	−	16.8323i	−0.529316	−	0.988425i
$291$	−7.16456	+	9.86117i	−0.419994	+	0.578072i
$292$	1.51997	−	9.59669i	0.0889493	−	0.561604i
$293$	−13.8935	−	27.2675i	−0.811665	−	1.59298i	−0.805200	−	0.593003i	$-0.797942\pi$
$293$	−13.8935	−	27.2675i	−0.811665	−	1.59298i	−0.00646488	−	0.999979i	$-0.502058\pi$
$294$	−13.1263	+	9.53683i	−0.765543	+	0.556199i
$295$	1.73913	−	0.0355090i	0.101256	−	0.00206742i
$296$	4.77747	+	1.55229i	0.277685	+	0.0902252i
$297$	−0.286645	−	0.0454000i	−0.0166328	−	0.00263438i
$298$	3.49065	−	0.552865i	0.202208	−	0.0320266i
$299$	−22.5203	+	7.31727i	−1.30238	+	0.423169i
$300$	2.44991	+	4.35866i	0.141445	+	0.251648i
$301$	8.71441	+	2.83148i	0.502290	+	0.163204i
$302$	−1.93472	−	3.79711i	−0.111331	−	0.218499i
$303$	−7.53816	+	14.7945i	−0.433056	+	0.849920i
$304$		−	7.40413i		−	0.424656i
$305$	18.8603	+	13.1230i	1.07994	+	0.751423i
$306$	2.04865	−	0.665648i	0.117114	−	0.0380526i
$307$	−29.4797	−	4.66913i	−1.68250	−	0.266481i	−0.759281	−	0.650763i	$-0.774449\pi$
$307$	−29.4797	−	4.66913i	−1.68250	−	0.266481i	−0.923216	+	0.384281i	$0.874449\pi$
$308$	−0.218794	−	1.38141i	−0.0124669	−	0.0787130i
$309$	−3.26610			−0.185802
$310$	−1.30561	+	12.3813i	−0.0741534	+	0.703208i
$311$	−6.67913			−0.378739			−0.189369	−	0.981906i	$-0.560644\pi$
$311$	−6.67913			−0.378739			−0.189369	+	0.981906i	$0.560644\pi$
$312$	−0.567152	−	3.58086i	−0.0321087	−	0.202726i
$313$	9.80285	+	1.55262i	0.554090	+	0.0877592i	0.427199	−	0.904158i	$-0.359500\pi$
$313$	9.80285	+	1.55262i	0.554090	+	0.0877592i	0.126890	+	0.991917i	$0.459500\pi$
$314$	21.7192	−	7.05699i	1.22568	−	0.398249i
$315$	1.90268	+	10.6068i	0.107204	+	0.597627i
$316$			8.17935i			0.460124i
$317$	−8.63818	+	16.9534i	−0.485169	+	0.952197i	0.510558	+	0.859843i	$0.329439\pi$
$317$	−8.63818	+	16.9534i	−0.485169	+	0.952197i	−0.995726	+	0.0923534i	$0.970561\pi$
$318$	−3.53122	−	6.93041i	−0.198021	−	0.388638i
$319$	2.35689	+	0.765800i	0.131961	+	0.0428766i
$320$	−0.734251	−	2.11208i	−0.0410459	−	0.118069i
$321$	−8.52659	+	2.77046i	−0.475908	+	0.154632i
$322$	−31.0884	+	4.92391i	−1.73249	+	0.274399i
$323$	15.7527	+	2.49499i	0.876506	+	0.138825i
$324$	−0.951057	−	0.309017i	−0.0528365	−	0.0171676i
$325$	3.56422	+	17.7736i	0.197707	+	0.985903i
$326$	15.1355	−	10.9966i	0.838277	−	0.609044i
$327$	0.147855	+	0.290183i	0.00817642	+	0.0160471i
$328$	−0.214818	+	1.35631i	−0.0118613	+	0.0748894i
$329$	18.5515	−	25.5339i	1.02278	−	1.40773i
$330$	−0.621150	−	0.187895i	−0.0341932	−	0.0103433i
$331$	−11.8286	+	16.2806i	−0.650157	+	0.894864i	−0.999106	−	0.0422777i	$-0.986539\pi$
$331$	−11.8286	+	16.2806i	−0.650157	+	0.894864i	0.348949	+	0.937142i	$0.386539\pi$
$332$	1.52045	+	2.98405i	0.0834455	+	0.163771i
$333$	4.47582	−	2.28054i	0.245273	−	0.124973i
$334$	5.50162	+	16.9322i	0.301035	+	0.926491i
$335$	9.61057	−	1.72397i	0.525082	−	0.0941903i
$336$		−	4.81924i		−	0.262911i
$337$	21.0174	+	10.7089i	1.14489	+	0.583350i	0.920343	−	0.391113i	$-0.127910\pi$
$337$	21.0174	+	10.7089i	1.14489	+	0.583350i	0.224547	+	0.974463i	$0.427910\pi$
$338$	0.0225606	−	0.142442i	0.00122714	−	0.00774783i
$339$	5.80319	+	4.21627i	0.315186	+	0.228996i
$340$	4.74100	−	0.850451i	0.257117	−	0.0461222i
$341$	−0.990613	−	1.27660i	−0.0536447	−	0.0691316i
$342$	−5.23551	−	5.23551i	−0.283104	−	0.283104i
$343$	−43.9102	+	6.95470i	−2.37093	+	0.375518i
$344$	−1.53819	+	1.11756i	−0.0829339	+	0.0602550i
$345$	−4.22854	+	13.9789i	−0.227657	+	0.752597i
$346$	20.8441			1.12058
$347$	16.0868	−	16.0868i	0.863582	−	0.863582i	−0.128170	−	0.991752i	$-0.540910\pi$
$347$	16.0868	−	16.0868i	0.863582	−	0.863582i	0.991752	+	0.128170i	$0.0409104\pi$
$348$	7.60835	+	3.87665i	0.407850	+	0.207810i
$349$	30.6472	+	9.95789i	1.64051	+	0.533034i	0.976652	−	0.214826i	$-0.0689184\pi$
$349$	30.6472	+	9.95789i	1.64051	+	0.533034i	0.663857	+	0.747860i	$0.268918\pi$
$350$	0.983566	+	24.0761i	0.0525738	+	1.28692i
$351$	−2.93309	−	2.13101i	−0.156557	−	0.113745i
$352$	0.258586	+	0.131756i	0.0137827	+	0.00702262i
$353$	3.83501	+	24.2133i	0.204117	+	1.28874i	0.850599	+	0.525815i	$0.176240\pi$
$353$	3.83501	+	24.2133i	0.204117	+	1.28874i	−0.646482	+	0.762929i	$0.723760\pi$
$354$	−0.629355	+	0.457253i	−0.0334499	+	0.0243027i
$355$	5.55693	+	7.32903i	0.294931	+	0.388985i
$356$	−1.40246	−	1.93032i	−0.0743303	−	0.102307i
$357$	10.2532	+	1.62395i	0.542658	+	0.0859486i
$358$	1.95370	−	0.995458i	0.103256	−	0.0526116i
$359$	−13.3479	−	18.3718i	−0.704474	−	0.969625i	−0.999898	−	0.0142588i	$-0.995461\pi$
$359$	−13.3479	−	18.3718i	−0.704474	−	0.969625i	0.295425	−	0.955366i	$-0.404539\pi$
$360$	−2.01266	−	0.974271i	−0.106076	−	0.0513486i
$361$	−11.0693	−	34.0679i	−0.582597	−	1.79305i
$362$	−8.16176	+	1.29270i	−0.428973	+	0.0679426i
$363$	−9.72603	+	4.95566i	−0.510484	+	0.260105i
$364$	5.39918	−	16.6170i	0.282994	−	0.870966i
$365$	−10.2567	−	19.1529i	−0.536858	−	1.00251i
$366$	−10.2754			−0.537106
$367$	−12.0006	+	12.0006i	−0.626428	+	0.626428i	−0.947168	−	0.320739i	$-0.896069\pi$
$367$	−12.0006	+	12.0006i	−0.626428	+	0.626428i	0.320739	+	0.947168i	$0.396069\pi$
$368$	2.96515	−	5.81943i	0.154569	−	0.303359i
$369$	0.807154	+	1.11095i	0.0420187	+	0.0578338i
$370$	10.6097	−	3.68838i	0.551570	−	0.191750i
$371$		−	37.4849i		−	1.94612i
$372$	−2.68320	−	4.87857i	−0.139118	−	0.252942i
$373$	10.8457	−	10.8457i	0.561568	−	0.561568i	−0.368185	−	0.929753i	$-0.620021\pi$
$373$	10.8457	−	10.8457i	0.561568	−	0.561568i	0.929753	+	0.368185i	$0.120021\pi$
$374$	−0.367456	+	0.505759i	−0.0190007	+	0.0261522i
$375$	10.2537	+	4.45653i	0.529501	+	0.230134i
$376$	2.02379	+	6.22857i	0.104369	+	0.321214i
$377$	21.8908	+	21.8908i	1.12743	+	1.12743i
$378$	−3.40771	−	3.40771i	−0.175274	−	0.175274i
$379$	−15.5602	+	5.05580i	−0.799271	+	0.259699i	−0.680047	−	0.733168i	$-0.738041\pi$
$379$	−15.5602	+	5.05580i	−0.799271	+	0.259699i	−0.119224	+	0.992867i	$0.538041\pi$
$380$	−10.0028	−	13.1928i	−0.513135	−	0.676774i
$381$	3.10129	−	9.54479i	0.158884	−	0.488995i
$382$	−2.58742	−	16.3363i	−0.132384	−	0.835840i
$383$	14.1063	−	27.6852i	0.720798	−	1.41465i	−0.181437	−	0.983403i	$-0.558075\pi$
$383$	14.1063	−	27.6852i	0.720798	−	1.41465i	0.902235	−	0.431244i	$-0.141925\pi$
$384$	0.809017	+	0.587785i	0.0412850	+	0.0299953i
$385$	−2.25611	−	2.16582i	−0.114982	−	0.110380i
$386$	4.76503	−	14.6653i	0.242534	−	0.746442i
$387$	−0.297431	+	1.87790i	−0.0151193	+	0.0954593i
$388$	1.90679	−	12.0390i	0.0968027	−	0.611188i
$389$	−6.14253	+	18.9048i	−0.311439	+	0.958510i	0.665757	+	0.746169i	$0.268109\pi$
$389$	−6.14253	+	18.9048i	−0.311439	+	0.958510i	−0.977196	+	0.212341i	$0.931891\pi$
$390$	−5.84824	−	5.61420i	−0.296137	−	0.284286i
$391$	11.3820	+	8.26953i	0.575614	+	0.418208i
$392$	7.36601	−	14.4566i	0.372040	−	0.730169i
$393$	1.35605	+	8.56176i	0.0684037	+	0.431884i
$394$	−2.56837	+	7.90464i	−0.129393	+	0.398230i
$395$	11.0501	+	14.5740i	0.555993	+	0.733300i
$396$	0.276013	−	0.0896822i	0.0138702	−	0.00450670i
$397$	−20.9363	−	20.9363i	−1.05076	−	1.05076i	−0.998641	−	0.0521240i	$-0.983401\pi$
$397$	−20.9363	−	20.9363i	−1.05076	−	1.05076i	−0.0521240	−	0.998641i	$-0.516599\pi$
$398$	−9.47276	−	9.47276i	−0.474827	−	0.474827i
$399$	−11.0264	−	33.9358i	−0.552011	−	1.69892i
$400$	−4.16168	−	2.77136i	−0.208084	−	0.138568i
$401$	−2.40619	+	3.31184i	−0.120159	+	0.165385i	−0.864859	−	0.502014i	$-0.832593\pi$
$401$	−2.40619	+	3.31184i	−0.120159	+	0.165385i	0.744700	+	0.667399i	$0.232593\pi$
$402$	−3.08764	+	3.08764i	−0.153997	+	0.153997i
$403$	−3.78617	−	19.8276i	−0.188602	−	0.987686i
$404$		−	16.6042i		−	0.826091i
$405$	−2.11208	+	0.734251i	−0.104950	+	0.0364852i
$406$	24.1883	+	33.2924i	1.20045	+	1.65227i
$407$	−0.661854	+	1.29896i	−0.0328069	+	0.0643871i
$408$	−1.52317	+	1.52317i	−0.0754080	+	0.0754080i
$409$	13.5630			0.670649			0.335324	−	0.942103i	$-0.391154\pi$
$409$	13.5630			0.670649			0.335324	+	0.942103i	$0.391154\pi$
$410$	1.44958	+	2.70689i	0.0715896	+	0.133684i
$411$	−0.728021	+	2.24062i	−0.0359107	+	0.110522i
$412$	2.91012	−	1.48278i	0.143371	−	0.0730513i
$413$	−3.70285	+	0.586474i	−0.182205	+	0.0288585i
$414$	−2.01828	−	6.21164i	−0.0991932	−	0.305285i
$415$	6.74055	+	3.26291i	0.330881	+	0.160170i
$416$	2.13101	+	2.93309i	0.104481	+	0.143806i
$417$	2.40136	−	1.22355i	0.117595	−	0.0599177i
$418$	2.12235	+	0.336148i	0.103808	+	0.0164415i
$419$	3.75036	+	5.16193i	0.183217	+	0.252177i	0.890740	−	0.454514i	$-0.150187\pi$
$419$	3.75036	+	5.16193i	0.183217	+	0.252177i	−0.707522	+	0.706691i	$0.750187\pi$
$420$	−6.51070	−	8.58696i	−0.317690	−	0.419001i
$421$	−2.13345	+	1.55004i	−0.103978	+	0.0755444i	−0.638559	−	0.769573i	$-0.720469\pi$
$421$	−2.13345	+	1.55004i	−0.103978	+	0.0755444i	0.534581	+	0.845117i	$0.320469\pi$
$422$	−1.27817	−	8.07005i	−0.0622204	−	0.392844i
$423$	5.83530	+	2.97323i	0.283722	+	0.144564i
$424$	6.29268	+	4.57190i	0.305599	+	0.222031i
$425$	7.29862	−	7.92035i	0.354035	−	0.384193i
$426$	−3.91193	−	1.27106i	−0.189534	−	0.0615833i
$427$	−44.1224	−	22.4815i	−2.13523	−	1.08796i
$428$	6.33949	−	6.33949i	0.306431	−	0.306431i
$429$	1.05218			0.0507999
$430$	−1.23096	+	4.06936i	−0.0593623	+	0.196242i
$431$	−0.728677	+	0.529415i	−0.0350991	+	0.0255010i	−0.605196	−	0.796076i	$-0.706905\pi$
$431$	−0.728677	+	0.529415i	−0.0350991	+	0.0255010i	0.570097	+	0.821577i	$0.306905\pi$
$432$	0.987688	−	0.156434i	0.0475202	−	0.00752646i
$433$	21.2879	+	21.2879i	1.02303	+	1.02303i	0.999728	+	0.0233010i	$0.00741762\pi$
$433$	21.2879	+	21.2879i	1.02303	+	1.02303i	0.0233010	+	0.999728i	$0.492582\pi$
$434$	−0.847838	−	26.8190i	−0.0406975	−	1.28735i
$435$	18.7939	−	3.37129i	0.901099	−	0.161641i
$436$	−0.263480	−	0.191430i	−0.0126184	−	0.00916782i
$437$	7.56495	−	47.7632i	0.361881	−	2.28482i
$438$	8.65730	+	4.41111i	0.413662	+	0.210771i
$439$		−	15.8242i		−	0.755248i	−0.925959	−	0.377624i	$-0.876741\pi$
$439$		−	15.8242i		−	0.755248i	0.925959	−	0.377624i	$-0.123259\pi$
$440$	0.638751	−	0.114581i	0.0304513	−	0.00546241i
$441$	−5.01381	−	15.4309i	−0.238753	−	0.734806i
$442$	−6.95842	+	3.54549i	−0.330978	+	0.168642i
$443$	12.0011	+	23.5534i	0.570187	+	1.11906i	0.978506	+	0.206216i	$0.0661150\pi$
$443$	12.0011	+	23.5534i	0.570187	+	1.11906i	−0.408319	+	0.912839i	$0.633885\pi$
$444$	−2.95264	+	4.06396i	−0.140126	+	0.192867i
$445$	−5.10675	−	1.54477i	−0.242083	−	0.0732290i
$446$	7.96979	−	10.9695i	0.377381	−	0.519420i
$447$	−0.552865	+	3.49065i	−0.0261496	+	0.165102i
$448$	2.18789	+	4.29397i	0.103368	+	0.202871i
$449$	−13.7033	+	9.95607i	−0.646701	+	0.469856i	−0.862146	−	0.506660i	$-0.830880\pi$
$449$	−13.7033	+	9.95607i	−0.646701	+	0.469856i	0.215445	+	0.976516i	$0.430880\pi$
$450$	−4.90240	+	0.983099i	−0.231101	+	0.0463438i
$451$	−0.379025	−	0.123153i	−0.0178476	−	0.00579903i
$452$	−7.08483	−	1.12213i	−0.333242	−	0.0527804i
$453$	4.20913	−	0.666661i	0.197762	−	0.0313225i
$454$	−8.71535	+	2.83179i	−0.409032	+	0.132902i
$455$	−12.8289	−	36.9025i	−0.601429	−	1.73002i
$456$	7.04175	+	2.28800i	0.329760	+	0.107146i
$457$	−16.7476	−	32.8691i	−0.783421	−	1.53755i	−0.842129	−	0.539276i	$-0.818698\pi$
$457$	−16.7476	−	32.8691i	−0.783421	−	1.53755i	0.0587080	−	0.998275i	$-0.481302\pi$
$458$	2.18772	−	4.29363i	0.102225	−	0.200628i
$459$			2.15408i			0.100544i
$460$	−2.57862	−	14.3750i	−0.120229	−	0.670237i
$461$	−26.1901	+	8.50969i	−1.21980	+	0.396336i	−0.847008	−	0.531581i	$-0.821598\pi$
$461$	−26.1901	+	8.50969i	−1.21980	+	0.396336i	−0.372788	+	0.927916i	$0.621598\pi$
$462$	1.38141	+	0.218794i	0.0642689	+	0.0101792i
$463$	−2.28233	−	14.4101i	−0.106069	−	0.669694i	−0.982231	−	0.187677i	$-0.939904\pi$
$463$	−2.28233	−	14.4101i	−0.106069	−	0.669694i	0.876162	−	0.482017i	$-0.160096\pi$
$464$	−8.53905			−0.396415
$465$	−11.3718	−	5.06772i	−0.527355	−	0.235010i
$466$	29.2898			1.35682
$467$	3.37329	+	21.2981i	0.156097	+	0.985560i	0.934025	+	0.357207i	$0.116271\pi$
$467$	3.37329	+	21.2981i	0.156097	+	0.985560i	−0.777928	+	0.628353i	$0.783729\pi$
$468$	3.58086	+	0.567152i	0.165525	+	0.0262166i
$469$	−20.0136	+	6.50282i	−0.924144	+	0.300273i
$470$	12.0207	+	8.36403i	0.554473	+	0.385804i
$471$			22.8369i			1.05227i
$472$	0.353171	−	0.693137i	0.0162560	−	0.0319042i
$473$	−0.250510	−	0.491653i	−0.0115184	−	0.0226062i
$474$	−7.77902	−	2.52756i	−0.357302	−	0.116095i
$475$	−35.6463	−	9.99331i	−1.63557	−	0.458525i
$476$	−9.87295	+	3.20792i	−0.452526	+	0.147035i
$477$	7.68242	−	1.21678i	0.351754	−	0.0557123i
$478$	14.9488	+	2.36766i	0.683744	+	0.108294i
$479$	11.0930	+	3.60432i	0.506850	+	0.164686i	0.551269	−	0.834327i	$-0.314144\pi$
$479$	11.0930	+	3.60432i	0.506850	+	0.164686i	−0.0444190	+	0.999013i	$0.514144\pi$
$480$	2.23560	−	0.0456458i	0.102041	−	0.00208344i
$481$	−14.7339	+	10.7048i	−0.671806	+	0.488096i
$482$	−11.8450	−	23.2471i	−0.539523	−	1.05887i
$483$	4.92391	−	31.0884i	0.224046	−	1.41457i
$484$	6.41613	−	8.83105i	0.291642	−	0.401411i
$485$	−12.8669	−	24.0273i	−0.584258	−	1.09102i
$486$	0.587785	−	0.809017i	0.0266625	−	0.0366978i
$487$	8.28749	+	16.2651i	0.375542	+	0.737043i	0.998995	−	0.0448180i	$-0.0142708\pi$
$487$	8.28749	+	16.2651i	0.375542	+	0.737043i	−0.623453	+	0.781861i	$0.714271\pi$
$488$	9.15549	−	4.66495i	0.414449	−	0.211173i
$489$	5.78124	+	17.7928i	0.261437	+	0.804620i
$490$	−6.40579	−	35.7103i	−0.289384	−	1.61323i
$491$			16.3908i			0.739706i	0.929090	+	0.369853i	$0.120592\pi$
$491$			16.3908i			0.739706i	−0.929090	+	0.369853i	$0.879408\pi$
$492$	−1.22354	−	0.623425i	−0.0551615	−	0.0281062i
$493$	2.87743	−	18.1674i	0.129593	−	0.818216i
$494$	21.7170	+	15.7783i	0.977092	+	0.709899i
$495$	0.370644	−	0.532686i	0.0166592	−	0.0239424i
$496$	4.60557	+	3.12869i	0.206796	+	0.140482i
$497$	−14.0168	−	14.0168i	−0.628739	−	0.628739i
$498$	−3.30785	+	0.523911i	−0.148228	+	0.0234770i
$499$	−26.7915	+	19.4652i	−1.19935	+	0.871380i	−0.994221	−	0.107355i	$-0.965762\pi$
$499$	−26.7915	+	19.4652i	−1.19935	+	0.871380i	−0.205131	+	0.978735i	$0.565762\pi$
$500$	−11.1594	+	0.684306i	−0.499063	+	0.0306031i
$501$	−17.8036			−0.795406
$502$	−11.0662	+	11.0662i	−0.493909	+	0.493909i
$503$	26.6934	+	13.6010i	1.19020	+	0.606438i	0.932985	−	0.359916i	$-0.117195\pi$
$503$	26.6934	+	13.6010i	1.19020	+	0.606438i	0.257216	+	0.966354i	$0.417195\pi$
$504$	4.58337	+	1.48923i	0.204159	+	0.0663354i
$505$	−22.4320	−	29.5856i	−0.998211	−	1.31654i
$506$	1.53349	+	1.11415i	0.0681720	+	0.0495298i
$507$	0.128499	+	0.0654735i	0.00570684	+	0.00290778i
$508$	1.56997	+	9.91243i	0.0696564	+	0.439793i
$509$	19.9293	−	14.4795i	0.883349	−	0.641791i	−0.0507861	−	0.998710i	$-0.516173\pi$
$509$	19.9293	−	14.4795i	0.883349	−	0.641791i	0.934135	+	0.356919i	$0.116173\pi$
$510$	−0.656223	+	4.77176i	−0.0290580	+	0.211297i
$511$	27.5232	+	37.8824i	1.21755	+	1.67582i
$512$	−0.987688	−	0.156434i	−0.0436501	−	0.00691349i
$513$	6.59713	−	3.36140i	0.291270	−	0.148410i
$514$	2.02448	+	2.78646i	0.0892962	+	0.122906i
$515$	3.18207	−	6.57355i	0.140219	−	0.289665i
$516$	−0.587538	−	1.80826i	−0.0258649	−	0.0796040i
$517$	−1.87727	+	0.297330i	−0.0825621	+	0.0130766i
$518$	−21.5700	+	10.9905i	−0.947732	+	0.482894i
$519$	−6.44117	+	19.8239i	−0.282736	+	0.870172i
$520$	7.75961	+	2.34724i	0.340281	+	0.102933i
$521$	−7.39130			−0.323819			−0.161909	−	0.986806i	$-0.551765\pi$
$521$	−7.39130			−0.323819			−0.161909	+	0.986806i	$0.551765\pi$
$522$	−6.03802	+	6.03802i	−0.264277	+	0.264277i
$523$	−7.97211	+	15.6462i	−0.348596	+	0.684159i	−0.997022	−	0.0771194i	$-0.975428\pi$
$523$	−7.97211	+	15.6462i	−0.348596	+	0.684159i	0.648426	+	0.761278i	$0.275428\pi$
$524$	−5.09521	−	7.01295i	−0.222585	−	0.306362i
$525$	−23.2017	−	6.50450i	−1.01260	−	0.283879i
$526$		−	17.3477i		−	0.756396i
$527$	−8.20843	+	8.74437i	−0.357565	+	0.380911i
$528$	−0.205215	+	0.205215i	−0.00893083	+	0.00893083i
$529$	11.5546	−	15.9036i	0.502374	−	0.691459i
$530$	17.3889	−	0.355041i	0.755326	−	0.0154220i
$531$	−0.240392	−	0.739851i	−0.0104321	−	0.0321068i
$532$	25.2312	+	25.2312i	1.09391	+	1.09391i
$533$	−3.52038	−	3.52038i	−0.152485	−	0.152485i
$534$	2.26923	−	0.737317i	0.0981991	−	0.0319068i
$535$	2.73123	−	19.8603i	0.118081	−	0.858636i
$536$	1.34935	−	4.15287i	0.0582829	−	0.179376i
$537$	0.343011	+	2.16569i	0.0148020	+	0.0934564i
$538$	−9.25957	+	18.1729i	−0.399208	+	0.783490i
$539$	3.80949	+	2.76776i	0.164086	+	0.119216i
$540$	1.54853	−	1.61309i	0.0666382	−	0.0694162i
$541$	2.06246	−	6.34759i	0.0886720	−	0.272904i	−0.896881	−	0.442272i	$-0.854173\pi$
$541$	2.06246	−	6.34759i	0.0886720	−	0.272904i	0.985553	+	0.169368i	$0.0541726\pi$
$542$	2.09431	−	13.2229i	0.0899581	−	0.567973i
$543$	1.29270	−	8.16176i	0.0554749	−	0.350255i
$544$	0.665648	−	2.04865i	0.0285394	−	0.0878353i
$545$	−0.728090	+	0.0148659i	−0.0311879	+	0.000636785i
$546$	14.1352	+	10.2699i	0.604932	+	0.439509i
$547$	−9.73044	+	19.0971i	−0.416043	+	0.816531i	0.583945	+	0.811793i	$0.301508\pi$
$547$	−9.73044	+	19.0971i	−0.416043	+	0.816531i	−0.999989	+	0.00473821i	$0.998492\pi$
$548$	−0.368548	−	2.32692i	−0.0157436	−	0.0994012i
$549$	3.17529	−	9.77253i	0.135518	−	0.417081i
$550$	0.983337	−	1.06710i	0.0419296	−	0.0455014i
$551$	−60.1298	+	19.5374i	−2.56161	+	0.832319i
$552$	4.61833	+	4.61833i	0.196569	+	0.196569i
$553$	−27.8729	−	27.8729i	−1.18527	−	1.18527i
$554$	0.775557	+	2.38692i	0.0329503	+	0.101410i
$555$	0.229294	+	11.2302i	0.00973298	+	0.476694i
$556$	−1.58415	+	2.18039i	−0.0671827	+	0.0924691i
$557$	30.3773	−	30.3773i	1.28713	−	1.28713i	0.350600	−	0.936525i	$-0.385978\pi$
$557$	30.3773	−	30.3773i	1.28713	−	1.28713i	0.936525	−	0.350600i	$-0.114022\pi$
$558$	5.46895	−	1.04432i	0.231519	−	0.0442095i
$559$		−	6.89320i		−	0.291551i
$560$	9.69948	+	4.69524i	0.409878	+	0.198410i
$561$	−0.367456	−	0.505759i	−0.0155140	−	0.0213532i
$562$	−5.16065	+	10.1284i	−0.217689	+	0.427239i
$563$	−1.60171	+	1.60171i	−0.0675042	+	0.0675042i	−0.740053	−	0.672549i	$-0.765200\pi$
$563$	−1.60171	+	1.60171i	−0.0675042	+	0.0675042i	0.672549	+	0.740053i	$0.265200\pi$
$564$	−6.54911			−0.275767
$565$	−14.1398	+	7.57206i	−0.594865	+	0.318559i
$566$	−9.18469	+	28.2676i	−0.386061	+	1.18818i
$567$	4.29397	−	2.18789i	0.180330	−	0.0918826i
$568$	4.06261	−	0.643454i	0.170463	−	0.0269987i
$569$	−10.1374	−	31.1998i	−0.424984	−	1.30796i	−0.903010	−	0.429619i	$-0.858648\pi$
$569$	−10.1374	−	31.1998i	−0.424984	−	1.30796i	0.478027	−	0.878345i	$-0.341352\pi$
$570$	15.6381	−	5.43649i	0.655008	−	0.227709i
$571$	−14.6219	−	20.1253i	−0.611908	−	0.842219i	0.384825	−	0.922990i	$-0.374262\pi$
$571$	−14.6219	−	20.1253i	−0.611908	−	0.842219i	−0.996733	+	0.0807705i	$0.974262\pi$
$572$	−0.937502	+	0.477681i	−0.0391989	+	0.0199728i
$573$	16.3363	+	2.58742i	0.682461	+	0.108091i
$574$	−3.88986	−	5.35394i	−0.162360	−	0.223469i
$575$	−24.0149	−	22.1298i	−1.00149	−	0.922878i
$576$	−0.809017	+	0.587785i	−0.0337090	+	0.0244911i
$577$	3.58725	+	22.6490i	0.149339	+	0.942889i	0.942580	+	0.333981i	$0.108392\pi$
$577$	3.58725	+	22.6490i	0.149339	+	0.942889i	−0.793241	+	0.608908i	$0.791608\pi$
$578$	−11.0128	−	5.61129i	−0.458071	−	0.233399i
$579$	12.4750	+	9.06362i	0.518444	+	0.376671i
$580$	−15.2150	+	11.5361i	−0.631767	+	0.479010i
$581$	−15.3500	−	4.98753i	−0.636827	−	0.206918i
$582$	10.8605	+	5.53372i	0.450184	+	0.229380i
$583$	−1.59620	+	1.59620i	−0.0661078	+	0.0661078i
$584$	−9.71631			−0.402064
$585$	7.14662	−	3.82712i	0.295477	−	0.158232i
$586$	−24.7583	+	17.9880i	−1.02276	+	0.743077i
$587$	−15.5437	+	2.46188i	−0.641557	+	0.101613i	−0.468733	−	0.883340i	$-0.655289\pi$
$587$	−15.5437	+	2.46188i	−0.641557	+	0.101613i	−0.172824	+	0.984953i	$0.555289\pi$
$588$	11.4728	+	11.4728i	0.473131	+	0.473131i
$589$	39.5897	+	11.4939i	1.63127	+	0.473596i
$590$	−0.307132	−	1.71217i	−0.0126444	−	0.0704888i
$591$	−6.72409	−	4.88534i	−0.276592	−	0.200956i
$592$	0.785822	−	4.96148i	0.0322971	−	0.203916i
$593$	−27.6349	−	14.0807i	−1.13483	−	0.578224i	−0.217383	−	0.976086i	$-0.569752\pi$
$593$	−27.6349	−	14.0807i	−1.13483	−	0.578224i	−0.917445	+	0.397862i	$0.869752\pi$
$594$			0.290218i			0.0119078i
$595$	−13.2579	+	19.0541i	−0.543520	+	0.781141i
$596$	−1.09212	−	3.36119i	−0.0447348	−	0.137680i
$597$	11.9364	−	6.08189i	0.488523	−	0.248915i
$598$	10.7501	+	21.0983i	0.439606	+	0.862774i
$599$	20.6205	−	28.3817i	0.842532	−	1.15965i	−0.142927	−	0.989733i	$-0.545651\pi$
$599$	20.6205	−	28.3817i	0.842532	−	1.15965i	0.985459	−	0.169913i	$-0.0543487\pi$
$600$	3.92175	−	3.10159i	0.160105	−	0.126622i
$601$	24.9471	−	34.3367i	1.01761	−	1.40062i	0.103749	−	0.994604i	$-0.466916\pi$
$601$	24.9471	−	34.3367i	1.01761	−	1.40062i	0.913864	−	0.406020i	$-0.133084\pi$
$602$	1.43339	−	9.05006i	0.0584206	−	0.368853i
$603$	−1.98239	−	3.89065i	−0.0807290	−	0.158440i
$604$	−3.44770	+	2.50490i	−0.140285	+	0.101923i
$605$	−0.498259	−	24.4033i	−0.0202571	−	0.992136i
$606$	15.7915	+	5.13098i	0.641488	+	0.208432i
$607$	17.8187	+	2.82220i	0.723238	+	0.114550i	0.507192	−	0.861833i	$-0.330684\pi$
$607$	17.8187	+	2.82220i	0.723238	+	0.114550i	0.216047	+	0.976383i	$0.430684\pi$
$608$	−7.31297	+	1.15826i	−0.296580	+	0.0469737i
$609$	−39.1376	+	12.7166i	−1.58593	+	0.515301i
$610$	10.0111	−	20.6810i	0.405336	−	0.837348i
$611$	−22.5817	−	7.33723i	−0.913556	−	0.296832i
$612$	−0.977933	−	1.91930i	−0.0395306	−	0.0775832i
$613$	−8.16845	+	16.0315i	−0.329921	+	0.647506i	−0.995067	−	0.0992075i	$-0.968369\pi$
$613$	−8.16845	+	16.0315i	−0.329921	+	0.647506i	0.665146	+	0.746713i	$0.268369\pi$
$614$			29.8472i			1.20454i
$615$	−3.02235	+	0.542156i	−0.121873	+	0.0218619i
$616$	−1.33017	+	0.432200i	−0.0535942	+	0.0174138i
$617$	−44.9684	−	7.12230i	−1.81036	−	0.286733i	−0.842588	−	0.538559i	$-0.818969\pi$
$617$	−44.9684	−	7.12230i	−1.81036	−	0.286733i	−0.967773	+	0.251826i	$0.918969\pi$
$618$	0.510931	+	3.22589i	0.0205527	+	0.129764i
$619$	37.4394			1.50482			0.752408	−	0.658697i	$-0.228892\pi$
$619$	37.4394			1.50482			0.752408	+	0.658697i	$0.228892\pi$
$620$	12.4331	−	0.647323i	0.499324	−	0.0259971i
$621$	6.53130			0.262092
$622$	1.04485	+	6.59690i	0.0418945	+	0.264511i
$623$	11.3572	+	1.79880i	0.455015	+	0.0720674i
$624$	−3.44805	+	1.12034i	−0.138033	+	0.0448495i
$625$	−18.9594	+	16.2954i	−0.758376	+	0.651817i
$626$		−	9.92504i		−	0.396684i
$627$	−0.975539	+	1.91460i	−0.0389593	+	0.0764619i
$628$	−10.3677	−	20.3478i	−0.413718	−	0.811966i
$629$	10.2911	+	3.34377i	0.410332	+	0.133325i
$630$	10.1786	−	3.53853i	0.405525	−	0.140978i
$631$	−28.5305	+	9.27013i	−1.13578	+	0.369038i	−0.815771	−	0.578376i	$-0.803687\pi$
$631$	−28.5305	+	9.27013i	−1.13578	+	0.369038i	−0.320012	+	0.947414i	$0.603687\pi$
$632$	8.07864	−	1.27953i	0.321351	−	0.0508970i
$633$	8.07005	+	1.27817i	0.320756	+	0.0508027i
$634$	18.0960	+	5.87974i	0.718683	+	0.233514i
$635$	16.1889	+	15.5411i	0.642437	+	0.616728i
$636$	−6.29268	+	4.57190i	−0.249521	+	0.181288i
$637$	26.7054	+	52.4124i	1.05811	+	2.07665i
$638$	0.387673	−	2.44767i	0.0153481	−	0.0969042i
$639$	2.41771	−	3.32769i	0.0956431	−	0.131641i
$640$	−1.97121	+	1.05561i	−0.0779190	+	0.0417268i
$641$	6.13284	−	8.44113i	0.242233	−	0.333405i	−0.670539	−	0.741874i	$-0.733937\pi$
$641$	6.13284	−	8.44113i	0.242233	−	0.333405i	0.912772	+	0.408469i	$0.133937\pi$
$642$	4.07020	+	7.98822i	0.160638	+	0.315270i
$643$	27.0412	−	13.7782i	1.06640	−	0.543358i	0.169473	−	0.985535i	$-0.445794\pi$
$643$	27.0412	−	13.7782i	1.06640	−	0.543358i	0.896928	+	0.442177i	$0.145794\pi$
$644$	9.72658	+	29.9353i	0.383281	+	1.17962i
$645$	−3.48980	−	2.42822i	−0.137411	−	0.0956109i
$646$		−	15.9491i		−	0.627509i
$647$	3.86473	+	1.96918i	0.151938	+	0.0774164i	0.528306	−	0.849054i	$-0.322827\pi$
$647$	3.86473	+	1.96918i	0.151938	+	0.0774164i	−0.376368	+	0.926470i	$0.622827\pi$
$648$	−0.156434	+	0.987688i	−0.00614533	+	0.0388001i
$649$	0.182650	+	0.132703i	0.00716964	+	0.00520905i
$650$	16.9972	−	6.30075i	0.666686	−	0.247136i
$651$	25.7684	+	7.48117i	1.00994	+	0.293210i
$652$	−13.2289	−	13.2289i	−0.518084	−	0.518084i
$653$	7.78041	−	1.23230i	0.304471	−	0.0482234i	−0.00232967	−	0.999997i	$-0.500742\pi$
$653$	7.78041	−	1.23230i	0.304471	−	0.0482234i	0.306801	+	0.951774i	$0.400742\pi$
$654$	0.263480	−	0.191430i	0.0103029	−	0.00748549i
$655$	−18.5531	−	5.61221i	−0.724928	−	0.219287i
$656$	1.37321			0.0536149
$657$	−6.87047	+	6.87047i	−0.268043	+	0.268043i
$658$	−28.1217	−	14.3287i	−1.09630	−	0.558591i
$659$	25.8815	+	8.40940i	1.00820	+	0.327584i	0.766137	−	0.642677i	$-0.222176\pi$
$659$	25.8815	+	8.40940i	1.00820	+	0.327584i	0.242062	+	0.970261i	$0.422176\pi$
$660$	−0.0884123	+	0.642896i	−0.00344144	+	0.0250247i
$661$	14.6826	+	10.6676i	0.571088	+	0.414920i	0.835500	−	0.549490i	$-0.185178\pi$
$661$	14.6826	+	10.6676i	0.571088	+	0.414920i	−0.264412	+	0.964410i	$0.585178\pi$
$662$	17.9306	+	9.13609i	0.696892	+	0.355084i
$663$	−1.22169	−	7.71347i	−0.0474466	−	0.299566i
$664$	2.70946	−	1.96854i	0.105147	−	0.0763941i
$665$	79.0440	+	10.8703i	3.06519	+	0.421532i
$666$	−2.95264	−	4.06396i	−0.114412	−	0.157475i
$667$	−55.0844	−	8.72452i	−2.13288	−	0.337815i
$668$	15.8631	−	8.08267i	0.613763	−	0.312728i
$669$	7.96979	+	10.9695i	0.308130	+	0.424105i
$670$	−3.20617	−	9.22256i	−0.123865	−	0.356299i
$671$	0.921524	+	2.83616i	0.0355751	+	0.109489i
$672$	−4.75990	+	0.753894i	−0.183617	+	0.0290821i
$673$	32.9402	−	16.7839i	1.26975	−	0.646971i	0.316341	−	0.948646i	$-0.397546\pi$
$673$	32.9402	−	16.7839i	1.26975	−	0.646971i	0.953411	+	0.301675i	$0.0975457\pi$
$674$	7.28920	−	22.4339i	0.280769	−	0.864120i
$675$	0.579941	−	4.96625i	0.0223220	−	0.191151i
$676$	−0.144218			−0.00554684
$677$	24.0846	−	24.0846i	0.925648	−	0.925648i	−0.0717728	−	0.997421i	$-0.522866\pi$
$677$	24.0846	−	24.0846i	0.925648	−	0.925648i	0.997421	+	0.0717728i	$0.0228657\pi$
$678$	3.25654	−	6.39131i	0.125067	−	0.245457i
$679$	34.5277	+	47.5233i	1.32505	+	1.82378i
$680$	−1.58164	−	4.54959i	−0.0606530	−	0.174469i
$681$		−	9.16386i		−	0.351160i
$682$	−1.10591	+	1.17812i	−0.0423477	+	0.0451126i
$683$	1.87417	−	1.87417i	0.0717132	−	0.0717132i	−0.670340	−	0.742054i	$-0.733852\pi$
$683$	1.87417	−	1.87417i	0.0717132	−	0.0717132i	0.742054	+	0.670340i	$0.233852\pi$
$684$	−4.35204	+	5.99007i	−0.166404	+	0.229036i
$685$	−3.80031	−	3.64823i	−0.145202	−	0.139392i
$686$	13.7381	+	42.2817i	0.524525	+	1.61432i
$687$	3.40745	+	3.40745i	0.130002	+	0.130002i
$688$	1.34443	+	1.34443i	0.0512560	+	0.0512560i
$689$	−26.8196	+	8.71420i	−1.02174	+	0.331985i
$690$	14.4683	+	1.98970i	0.550797	+	0.0757467i
$691$	−5.97377	+	18.3854i	−0.227253	+	0.699412i	0.770802	+	0.637074i	$0.219856\pi$
$691$	−5.97377	+	18.3854i	−0.227253	+	0.699412i	−0.998055	+	0.0623379i	$0.980144\pi$
$692$	−3.26073	−	20.5874i	−0.123954	−	0.782617i
$693$	−0.634964	+	1.24619i	−0.0241203	+	0.0473387i
$694$	−18.4052	−	13.3722i	−0.698653	−	0.507601i
$695$	0.123020	+	6.02519i	0.00466643	+	0.228549i
$696$	2.63871	−	8.12111i	0.100020	−	0.307830i
$697$	−0.462735	+	2.92159i	−0.0175273	+	0.110663i
$698$	5.04101	−	31.8277i	0.190805	−	1.20470i
$699$	−9.05103	+	27.8562i	−0.342342	+	1.05362i
$700$	23.6258	−	4.73779i	0.892972	−	0.179072i
$701$	−23.1021	−	16.7847i	−0.872556	−	0.633949i	0.0587157	−	0.998275i	$-0.481299\pi$
$701$	−23.1021	−	16.7847i	−0.872556	−	0.633949i	−0.931272	+	0.364326i	$0.881299\pi$
$702$	−1.64594	+	3.23034i	−0.0621220	+	0.121921i
$703$	−5.81833	−	36.7355i	−0.219442	−	1.38550i
$704$	0.0896822	−	0.276013i	0.00338003	−	0.0104026i
$705$	−11.6693	+	8.84773i	−0.439490	+	0.333225i
$706$	23.3153	−	7.57559i	0.877482	−	0.285111i
$707$	56.5824	+	56.5824i	2.12800	+	2.12800i
$708$	0.550077	+	0.550077i	0.0206731	+	0.0206731i
$709$	−11.9538	−	36.7900i	−0.448934	−	1.38168i	−0.878111	−	0.478457i	$-0.841196\pi$
$709$	−11.9538	−	36.7900i	−0.448934	−	1.38168i	0.429177	−	0.903220i	$-0.358804\pi$
$710$	6.36951	−	6.63503i	0.239043	−	0.249008i
$711$	4.80770	−	6.61723i	0.180303	−	0.248165i
$712$	−1.68716	+	1.68716i	−0.0632291	+	0.0632291i
$713$	26.5134	+	24.8884i	0.992935	+	0.932079i
$714$		−	10.3810i		−	0.388500i
$715$	−1.02511	+	2.11769i	−0.0383370	+	0.0791969i
$716$	−1.28883	−	1.77392i	−0.0481657	−	0.0662944i
$717$	−6.87122	+	13.4855i	−0.256611	+	0.503626i
$718$	−16.0575	+	16.0575i	−0.599261	+	0.599261i
$719$	2.30408			0.0859278			0.0429639	−	0.999077i	$-0.486320\pi$
$719$	2.30408			0.0859278			0.0429639	+	0.999077i	$0.486320\pi$
$720$	−0.647427	+	2.14029i	−0.0241282	+	0.0797639i
$721$	−4.86396	+	14.9697i	−0.181143	+	0.557502i
$722$	−31.9169	+	16.2625i	−1.18782	+	0.605226i
$723$	25.7696	−	4.08150i	0.958380	−	0.151793i
$724$	2.55356	+	7.85906i	0.0949024	+	0.292080i
$725$	−11.5251	+	41.1103i	−0.428032	+	1.52680i
$726$	6.41613	+	8.83105i	0.238125	+	0.327751i
$727$	31.9967	−	16.3031i	1.18669	−	0.604649i	0.254660	−	0.967031i	$-0.418036\pi$
$727$	31.9967	−	16.3031i	1.18669	−	0.604649i	0.932030	+	0.362382i	$0.118036\pi$
$728$	−17.2570	−	2.73324i	−0.639587	−	0.101301i
$729$	0.587785	+	0.809017i	0.0217698	+	0.0299636i
$730$	−17.3126	+	13.1266i	−0.640769	+	0.485836i
$731$	−3.31340	+	2.40733i	−0.122550	+	0.0890381i
$732$	1.60743	+	10.1489i	0.0594124	+	0.375115i
$733$	9.17813	+	4.67649i	0.339002	+	0.172730i	0.615201	−	0.788370i	$-0.289075\pi$
$733$	9.17813	+	4.67649i	0.339002	+	0.172730i	−0.276199	+	0.961100i	$0.589075\pi$
$734$	13.7302	+	9.97558i	0.506791	+	0.368205i
$735$	35.9420	+	4.94282i	1.32574	+	0.182318i
$736$	−6.21164	−	2.01828i	−0.228964	−	0.0743949i
$737$	1.12914	+	0.575324i	0.0415923	+	0.0211923i
$738$	0.971007	−	0.971007i	0.0357433	−	0.0357433i
$739$	24.0856			0.886003			0.443002	−	0.896521i	$-0.353914\pi$
$739$	24.0856			0.886003			0.443002	+	0.896521i	$0.353914\pi$
$740$	−5.30269	−	9.90205i	−0.194931	−	0.364007i
$741$	−21.7170	+	15.7783i	−0.797792	+	0.579630i
$742$	−37.0234	+	5.86393i	−1.35917	+	0.215271i
$743$	−29.2252	−	29.2252i	−1.07217	−	1.07217i	−0.997185	−	0.0749846i	$-0.976109\pi$
$743$	−29.2252	−	29.2252i	−1.07217	−	1.07217i	−0.0749846	−	0.997185i	$-0.523891\pi$
$744$	−4.39876	+	3.41334i	−0.161266	+	0.125139i
$745$	−6.48685	−	4.51357i	−0.237660	−	0.165364i
$746$	−12.4088	−	9.01551i	−0.454318	−	0.330081i
$747$	0.523911	−	3.30785i	0.0191689	−	0.121028i
$748$	0.557015	+	0.283814i	0.0203665	+	0.0103772i
$749$			43.2063i			1.57872i
$750$	2.79762	−	10.8247i	0.102155	−	0.395261i
$751$	8.26908	+	25.4496i	0.301743	+	0.928669i	0.980873	+	0.194651i	$0.0623574\pi$
$751$	8.26908	+	25.4496i	0.301743	+	0.928669i	−0.679130	+	0.734018i	$0.737643\pi$
$752$	5.83530	−	2.97323i	0.212791	−	0.108423i
$753$	−7.10494	−	13.9442i	−0.258918	−	0.508156i
$754$	18.1968	−	25.0458i	0.662689	−	0.912113i
$755$	−2.75907	+	9.12105i	−0.100413	+	0.331949i
$756$	−2.83268	+	3.89884i	−0.103023	+	0.141800i
$757$	−1.73972	+	10.9842i	−0.0632313	+	0.399227i	0.935691	+	0.352820i	$0.114777\pi$
$757$	−1.73972	+	10.9842i	−0.0632313	+	0.399227i	−0.998923	+	0.0464070i	$0.985223\pi$
$758$	7.42770	+	14.5777i	0.269786	+	0.529485i
$759$	−1.53349	+	1.11415i	−0.0556622	+	0.0404409i
$760$	−11.4655	+	11.9435i	−0.415899	+	0.433236i
$761$	33.1381	+	10.7672i	1.20126	+	0.390311i	0.840222	−	0.542242i	$-0.182424\pi$
$761$	33.1381	+	10.7672i	1.20126	+	0.390311i	0.361033	+	0.932553i	$0.382424\pi$
$762$	−9.91243	−	1.56997i	−0.359089	−	0.0568742i
$763$	1.55020	−	0.245528i	0.0561211	−	0.00888871i
$764$	−15.7305	+	5.11113i	−0.569108	+	0.184914i
$765$	−4.33543	−	2.09866i	−0.156748	−	0.0758773i
$766$	−29.5510	−	9.60171i	−1.06772	−	0.346924i
$767$	1.28042	+	2.51296i	0.0462333	+	0.0907379i
$768$	0.453990	−	0.891007i	0.0163820	−	0.0321514i
$769$		−	13.6769i		−	0.493200i	−0.969117	−	0.246600i	$-0.920687\pi$
$769$		−	13.6769i		−	0.493200i	0.969117	−	0.246600i	$-0.0793134\pi$
$770$	−1.78622	+	2.56714i	−0.0643710	+	0.0925132i
$771$	−3.27568	+	1.06433i	−0.117971	+	0.0383311i
$772$	−15.2301	−	2.41221i	−0.548144	−	0.0868174i
$773$	−1.96825	−	12.4271i	−0.0707932	−	0.446971i	−0.997469	−	0.0711081i	$-0.977346\pi$
$773$	−1.96825	−	12.4271i	−0.0707932	−	0.446971i	0.926675	−	0.375863i	$-0.122654\pi$
$774$	1.90131			0.0683413
$775$	21.2788	−	17.9502i	0.764358	−	0.644792i
$776$	−12.1891			−0.437562
$777$	−3.78706	−	23.9106i	−0.135860	−	0.857786i
$778$	19.6329	+	3.10955i	0.703875	+	0.111483i
$779$	9.66981	−	3.14191i	0.346457	−	0.112571i
$780$	−4.63021	+	6.65449i	−0.165788	+	0.238269i
$781$			1.19374i			0.0427153i
$782$	6.38717	−	12.5355i	0.228405	−	0.448270i
$783$	−3.87665	−	7.60835i	−0.138540	−	0.271900i
$784$	−15.4309	−	5.01381i	−0.551104	−	0.179065i
$785$	−45.9629	−	22.2493i	−1.64049	−	0.794113i
$786$	8.24422	−	2.67871i	0.294062	−	0.0955464i
$787$	46.5592	−	7.37425i	1.65966	−	0.262864i	0.744990	−	0.667076i	$-0.232454\pi$
$787$	46.5592	−	7.37425i	1.65966	−	0.262864i	0.914665	+	0.404212i	$0.132454\pi$
$788$	8.20910	+	1.30019i	0.292437	+	0.0463175i
$789$	16.4986	+	5.36073i	0.587367	+	0.190847i
$790$	12.6660	−	13.1940i	0.450636	−	0.469421i
$791$	27.9669	−	20.3192i	0.994390	−	0.722467i
$792$	−0.131756	−	0.258586i	−0.00468175	−	0.00918845i
$793$	−5.82774	+	36.7949i	−0.206949	+	1.30663i
$794$	−17.4034	+	23.9537i	−0.617624	+	0.850086i
$795$	−5.03580	+	16.6476i	−0.178602	+	0.590428i
$796$	−7.87427	+	10.8380i	−0.279096	+	0.384143i
$797$	15.6742	+	30.7623i	0.555209	+	1.08966i	0.982625	+	0.185603i	$0.0594239\pi$
$797$	15.6742	+	30.7623i	0.555209	+	1.08966i	−0.427416	+	0.904055i	$0.640576\pi$
$798$	−31.7931	+	16.1994i	−1.12546	+	0.573452i
$799$	4.35940	+	13.4169i	0.154225	+	0.474654i
$800$	−2.08621	+	4.54398i	−0.0737588	+	0.160654i
$801$			2.38601i			0.0843055i
$802$	3.64747	+	1.85848i	0.128797	+	0.0656253i
$803$	0.441121	−	2.78513i	0.0155668	−	0.0982851i
$804$	3.53264	+	2.56661i	0.124587	+	0.0905174i
$805$	57.7730	+	40.1986i	2.03623	+	1.41682i
$806$	−18.9913	+	6.84128i	−0.668938	+	0.240974i
$807$	−14.4221	−	14.4221i	−0.507683	−	0.507683i
$808$	−16.3998	+	2.59747i	−0.576943	+	0.0913787i
$809$	−34.1719	+	24.8273i	−1.20142	+	0.872882i	−0.994424	−	0.105459i	$-0.966369\pi$
$809$	−34.1719	+	24.8273i	−1.20142	+	0.872882i	−0.206996	+	0.978342i	$0.566369\pi$
$810$	1.05561	+	1.97121i	0.0370905	+	0.0692614i
$811$	−25.6747			−0.901562			−0.450781	−	0.892635i	$-0.648854\pi$
$811$	−25.6747			−0.901562			−0.450781	+	0.892635i	$0.648854\pi$
$812$	29.0986	−	29.0986i	1.02116	−	1.02116i
$813$	11.9286	+	6.07791i	0.418353	+	0.213162i
$814$	1.38651	+	0.450503i	0.0485970	+	0.0157901i
$815$	−41.4434	−	5.69938i	−1.45170	−	0.199641i
$816$	1.74269	+	1.26614i	0.0610063	+	0.0443237i
$817$	12.5432	+	6.39108i	0.438831	+	0.223596i
$818$	−2.12173	−	13.3960i	−0.0741844	−	0.468382i
$819$	−14.1352	+	10.2699i	−0.493925	+	0.358858i
$820$	2.44680	−	1.85518i	0.0854460	−	0.0647859i
$821$	−14.6938	−	20.2243i	−0.512817	−	0.705832i	0.471574	−	0.881826i	$-0.343686\pi$
$821$	−14.6938	−	20.2243i	−0.512817	−	0.705832i	−0.984391	+	0.175994i	$0.943686\pi$
$822$	2.32692	+	0.368548i	0.0811607	+	0.0128546i
$823$	3.40448	−	1.73467i	0.118673	−	0.0604667i	−0.393646	−	0.919262i	$-0.628787\pi$
$823$	3.40448	−	1.73467i	0.118673	−	0.0604667i	0.512319	+	0.858795i	$0.328787\pi$
$824$	−1.91977	−	2.64233i	−0.0668782	−	0.0920500i
$825$	0.711007	+	1.26496i	0.0247541	+	0.0440403i
$826$	1.15851	+	3.56552i	0.0403096	+	0.124060i
$827$	−26.2014	+	4.14989i	−0.911111	+	0.144306i	−0.594356	−	0.804202i	$-0.702593\pi$
$827$	−26.2014	+	4.14989i	−0.911111	+	0.144306i	−0.316754	+	0.948508i	$0.602593\pi$
$828$	−5.81943	+	2.96515i	−0.202239	+	0.103046i
$829$	−11.4141	+	35.1289i	−0.396427	+	1.22008i	0.531418	+	0.847110i	$0.321659\pi$
$829$	−11.4141	+	35.1289i	−0.396427	+	1.22008i	−0.927845	+	0.372966i	$0.878341\pi$
$830$	2.16828	−	7.16800i	0.0752623	−	0.248805i
$831$	−2.50975			−0.0870624
$832$	2.56361	−	2.56361i	0.0888773	−	0.0888773i
$833$	15.8670	−	31.1407i	0.549759	−	1.07896i
$834$	−1.58415	−	2.18039i	−0.0548545	−	0.0755007i
$835$	17.3455	−	35.8326i	0.600267	−	1.24004i
$836$		−	2.14881i		−	0.0743181i
$837$	−0.696793	+	5.52399i	−0.0240847	+	0.190937i
$838$	4.51169	−	4.51169i	0.155854	−	0.155854i
$839$	−5.27841	+	7.26510i	−0.182231	+	0.250819i	−0.890353	−	0.455271i	$-0.849543\pi$
$839$	−5.27841	+	7.26510i	−0.182231	+	0.250819i	0.708122	+	0.706090i	$0.249543\pi$
$840$	−7.46274	+	7.77384i	−0.257489	+	0.268223i
$841$	13.5706	+	41.7659i	0.467951	+	1.44020i
$842$	1.86470	+	1.86470i	0.0642619	+	0.0642619i
$843$	−8.03791	−	8.03791i	−0.276840	−	0.276840i
$844$	−7.77074	+	2.52487i	−0.267480	+	0.0869095i
$845$	−0.256969	+	0.194836i	−0.00883999	+	0.00670255i
$846$	2.02379	−	6.22857i	0.0695792	−	0.214143i
$847$	8.22934	+	51.9580i	0.282764	+	1.78530i
$848$	3.53122	−	6.93041i	0.121263	−	0.237991i
$849$	−24.0458	−	17.4703i	−0.825251	−	0.599580i
$850$	−8.96459	−	5.96975i	−0.307483	−	0.204761i
$851$	10.1385	−	31.2031i	0.347543	−	1.06963i
$852$	−0.643454	+	4.06261i	−0.0220444	+	0.139183i
$853$	−1.88197	+	11.8823i	−0.0644375	+	0.406842i	0.934295	+	0.356502i	$0.116031\pi$
$853$	−1.88197	+	11.8823i	−0.0644375	+	0.406842i	−0.998732	+	0.0503404i	$0.983969\pi$
$854$	−15.3025	+	47.0961i	−0.523639	+	1.61160i
$855$	0.337967	+	16.5527i	0.0115582	+	0.566090i
$856$	−7.25315	−	5.26972i	−0.247908	−	0.180115i
$857$	−19.1478	+	37.5796i	−0.654075	+	1.28369i	0.290963	+	0.956734i	$0.406024\pi$
$857$	−19.1478	+	37.5796i	−0.654075	+	1.28369i	−0.945038	+	0.326960i	$0.893976\pi$
$858$	−0.164598	−	1.03923i	−0.00561927	−	0.0354787i
$859$	−11.3421	+	34.9073i	−0.386986	+	1.19102i	0.548043	+	0.836450i	$0.315373\pi$
$859$	−11.3421	+	34.9073i	−0.386986	+	1.19102i	−0.935029	+	0.354570i	$0.884627\pi$
$860$	4.21182	+	0.579219i	0.143622	+	0.0197512i
$861$	6.29393	−	2.04502i	0.214497	−	0.0696942i
$862$	0.636887	+	0.636887i	0.0216924	+	0.0216924i
$863$	27.6883	+	27.6883i	0.942522	+	0.942522i	0.998436	−	0.0559141i	$-0.0178073\pi$
$863$	27.6883	+	27.6883i	0.942522	+	0.942522i	−0.0559141	+	0.998436i	$0.517807\pi$
$864$	−0.309017	−	0.951057i	−0.0105130	−	0.0323556i
$865$	−33.6233	−	32.2777i	−1.14323	−	1.09748i
$866$	17.6956	−	24.3559i	0.601322	−	0.827648i
$867$	8.73979	−	8.73979i	0.296819	−	0.296819i
$868$	−26.3562	+	5.03281i	−0.894586	+	0.170825i
$869$			2.37379i			0.0805253i
$870$	−6.26980	−	18.0351i	−0.212566	−	0.611448i
$871$	9.30524	+	12.8076i	0.315296	+	0.433968i
$872$	−0.147855	+	0.290183i	−0.00500702	+	0.00982682i
$873$	−8.61898	+	8.61898i	−0.291708	+	0.291708i
$874$	−48.3586			−1.63575
$875$	35.6960	−	40.3599i	1.20675	−	1.36441i
$876$	3.00251	−	9.24076i	0.101445	−	0.312216i
$877$	50.7780	−	25.8727i	1.71465	−	0.873658i	0.733680	−	0.679495i	$-0.237801\pi$
$877$	50.7780	−	25.8727i	1.71465	−	0.873658i	0.980969	−	0.194163i	$-0.0621990\pi$
$878$	−15.6294	+	2.47545i	−0.527466	+	0.0835425i
$879$	−9.45684	−	29.1052i	−0.318971	−	0.981693i
$880$	−0.213093	−	0.612963i	−0.00718335	−	0.0206630i
$881$	31.9514	+	43.9773i	1.07647	+	1.48163i	0.863350	+	0.504606i	$0.168362\pi$
$881$	31.9514	+	43.9773i	1.07647	+	1.48163i	0.213119	+	0.977026i	$0.431638\pi$
$882$	−14.4566	+	7.36601i	−0.486779	+	0.248026i
$883$	−46.8557	−	7.42122i	−1.57682	−	0.249744i	−0.694183	−	0.719798i	$-0.744234\pi$
$883$	−46.8557	−	7.42122i	−1.57682	−	0.249744i	−0.882637	+	0.470054i	$0.844234\pi$
$884$	4.59038	+	6.31811i	0.154391	+	0.212501i
$885$	1.72328	+	0.236988i	0.0579273	+	0.00796628i
$886$	21.3860	−	15.5379i	0.718478	−	0.522005i
$887$	3.93332	+	24.8340i	0.132068	+	0.833845i	0.961413	+	0.275109i	$0.0887138\pi$
$887$	3.93332	+	24.8340i	0.132068	+	0.833845i	−0.829345	+	0.558737i	$0.811286\pi$
$888$	4.47582	+	2.28054i	0.150199	+	0.0765300i
$889$	−39.1288	−	28.4287i	−1.31234	−	0.953468i
$890$	−0.726877	+	5.28553i	−0.0243650	+	0.177171i
$891$	−0.276013	−	0.0896822i	−0.00924680	−	0.00300447i
$892$	−12.0812	−	6.15567i	−0.404508	−	0.206107i
$893$	34.2879	−	34.2879i	1.14740	−	1.14740i
$894$	3.53416			0.118200
$895$	−4.69298	−	1.41960i	−0.156869	−	0.0474521i
$896$	3.89884	−	2.83268i	0.130251	−	0.0946330i
$897$	−23.3877	+	3.70424i	−0.780892	+	0.123681i
$898$	11.9772	+	11.9772i	0.399683	+	0.399683i
$899$	13.2556	−	45.6581i	0.442101	−	1.52278i
$900$	1.73790	+	4.68825i	0.0579300	+	0.156275i
$901$	13.5550	+	9.84825i	0.451581	+	0.328093i
$902$	−0.0623439	+	0.393624i	−0.00207582	+	0.0131062i
$903$	8.16418	+	4.15986i	0.271687	+	0.138431i
$904$			7.17314i			0.238575i
$905$	15.1674	+	10.5535i	0.504182	+	0.350811i
$906$	−1.31691	−	4.05302i	−0.0437513	−	0.134653i
$907$	37.9936	−	19.3587i	1.26156	−	0.642795i	0.310137	−	0.950692i	$-0.399625\pi$
$907$	37.9936	−	19.3587i	1.26156	−	0.642795i	0.951420	+	0.307896i	$0.0996250\pi$
$908$	4.16031	+	8.16506i	0.138065	+	0.270967i
$909$	−9.75971	+	13.4331i	−0.323709	+	0.445548i
$910$	−34.4413	+	18.4438i	−1.14172	+	0.611406i
$911$	10.2370	−	14.0900i	0.339166	−	0.466822i	−0.605032	−	0.796201i	$-0.706840\pi$
$911$	10.2370	−	14.0900i	0.339166	−	0.466822i	0.944198	+	0.329380i	$0.106840\pi$
$912$	1.15826	−	7.31297i	0.0383539	−	0.242157i
$913$	0.441261	+	0.866024i	0.0146036	+	0.0286612i
$914$	−29.8445	+	21.6833i	−0.987168	+	0.717220i
$915$	16.5752	+	15.9119i	0.547958	+	0.526030i
$916$	−4.58301	−	1.48911i	−0.151427	−	0.0492015i
$917$	41.2611	+	6.53512i	1.36256	+	0.215809i
$918$	2.12756	−	0.336973i	0.0702200	−	0.0111218i
$919$	13.7238	−	4.45913i	0.452706	−	0.147093i	−0.0737841	−	0.997274i	$-0.523508\pi$
$919$	13.7238	−	4.45913i	0.452706	−	0.147093i	0.526491	+	0.850181i	$0.323508\pi$
$920$	−13.7946	+	4.79561i	−0.454795	+	0.158107i
$921$	−28.3864	−	9.22329i	−0.935363	−	0.303918i
$922$	12.5020	+	24.5365i	0.411730	+	0.808066i
$923$	−6.77017	+	13.2872i	−0.222843	+	0.437354i
$924$		−	1.39863i		−	0.0460115i
$925$	−22.8259	−	10.4797i	−0.750510	−	0.344572i
$926$	−13.8756	+	4.50847i	−0.455982	+	0.148158i
$927$	−3.22589	−	0.510931i	−0.105952	−	0.0167812i
$928$	1.33580	+	8.43392i	0.0438498	+	0.276857i
$929$	−45.4315			−1.49056			−0.745279	−	0.666753i	$-0.767684\pi$
$929$	−45.4315			−1.49056			−0.745279	+	0.666753i	$0.767684\pi$
$930$	−3.22639	+	12.0246i	−0.105797	+	0.394301i
$931$	−120.132			−3.93717
$932$	−4.58193	−	28.9292i	−0.150086	−	0.947606i
$933$	−6.59690	−	1.04485i	−0.215973	−	0.0342067i
$934$	20.5082	−	6.66352i	0.671049	−	0.218037i
$935$	1.37592	−	0.246816i	0.0449975	−	0.00807175i
$936$		−	3.62550i		−	0.118503i
$937$	7.54954	−	14.8168i	0.246633	−	0.484044i	−0.734190	−	0.678944i	$-0.762438\pi$
$937$	7.54954	−	14.8168i	0.246633	−	0.484044i	0.980823	+	0.194900i	$0.0624381\pi$
$938$	9.55359	+	18.7500i	0.311936	+	0.612208i
$939$	9.43927	+	3.06701i	0.308039	+	0.100088i
$940$	6.38061	−	13.1811i	0.208113	−	0.429921i
$941$	51.4282	−	16.7100i	1.67651	−	0.544732i	0.692283	−	0.721626i	$-0.256605\pi$
$941$	51.4282	−	16.7100i	1.67651	−	0.544732i	0.984230	+	0.176894i	$0.0566051\pi$
$942$	22.5557	−	3.57248i	0.734905	−	0.116398i
$943$	8.85844	+	1.40304i	0.288470	+	0.0456892i
$944$	−0.739851	−	0.240392i	−0.0240801	−	0.00782410i
$945$	0.219978	+	10.7739i	0.00715588	+	0.350475i
$946$	−0.446411	+	0.324337i	−0.0145141	+	0.0105451i
$947$	12.1038	+	23.7550i	0.393320	+	0.771934i	0.999730	−	0.0232180i	$-0.00739119\pi$
$947$	12.1038	+	23.7550i	0.393320	+	0.771934i	−0.606411	+	0.795152i	$0.707391\pi$
$948$	−1.27953	+	8.07864i	−0.0415573	+	0.262382i
$949$	20.7056	−	28.4988i	0.672132	−	0.925110i
$950$	−4.29396	+	36.7708i	−0.139315	+	1.19300i
$951$	−11.1839	+	15.3934i	−0.362664	+	0.499164i
$952$	4.71289	+	9.24957i	0.152746	+	0.299780i
$953$	41.1895	−	20.9871i	1.33426	−	0.679839i	0.366194	−	0.930538i	$-0.380660\pi$
$953$	41.1895	−	20.9871i	1.33426	−	0.679839i	0.968065	+	0.250699i	$0.0806605\pi$
$954$	−2.40359	−	7.39749i	−0.0778191	−	0.239502i
$955$	−21.1236	+	30.3586i	−0.683545	+	0.982382i
$956$		−	15.1352i		−	0.489506i
$957$	2.20808	+	1.12507i	0.0713770	+	0.0363684i
$958$	1.82463	−	11.5202i	0.0589510	−	0.372202i
$959$	9.18539	+	6.67358i	0.296612	+	0.215501i
$960$	−0.394809	−	2.20094i	−0.0127424	−	0.0710350i
$961$	−23.8785	+	19.7691i	−0.770275	+	0.637712i
$962$	12.8779	+	12.8779i	0.415199	+	0.415199i
$963$	−8.85501	+	1.40250i	−0.285349	+	0.0451948i
$964$	−21.1079	+	15.3358i	−0.679839	+	0.493932i
$965$	−30.3960	+	16.2775i	−0.978483	+	0.523991i
$966$	−31.4759			−1.01272
$967$	−10.1872	+	10.1872i	−0.327599	+	0.327599i	−0.851673	−	0.524074i	$-0.824412\pi$
$967$	−10.1872	+	10.1872i	−0.327599	+	0.327599i	0.524074	+	0.851673i	$0.324412\pi$
$968$	−9.72603	−	4.95566i	−0.312606	−	0.159281i
$969$	15.1685	+	4.92855i	0.487283	+	0.158328i
$970$	−21.7186	+	16.4672i	−0.697343	+	0.528731i
$971$	−42.8423	−	31.1267i	−1.37487	−	0.998904i	−0.997339	−	0.0729094i	$-0.976772\pi$
$971$	−42.8423	−	31.1267i	−1.37487	−	0.998904i	−0.377535	−	0.925995i	$-0.623228\pi$
$972$	−0.891007	−	0.453990i	−0.0285790	−	0.0145618i
$973$	−2.03183	−	12.8285i	−0.0651374	−	0.411262i
$974$	14.7684	−	10.7299i	0.473211	−	0.343808i
$975$	0.739933	+	18.1124i	0.0236968	+	0.580060i
$976$	−6.03975	−	8.31301i	−0.193328	−	0.266093i
$977$	−14.3644	−	2.27509i	−0.459557	−	0.0727866i	−0.0776360	−	0.996982i	$-0.524737\pi$
$977$	−14.3644	−	2.27509i	−0.459557	−	0.0727866i	−0.381921	+	0.924195i	$0.624737\pi$
$978$	16.6694	−	8.49348i	0.533028	−	0.271592i
$979$	−0.407019	−	0.560213i	−0.0130084	−	0.0179045i
$980$	−34.2685	+	11.9132i	−1.09467	+	0.380554i
$981$	0.100641	+	0.309740i	0.00321320	+	0.00988923i
$982$	16.1890	−	2.56408i	0.516612	−	0.0818232i
$983$	1.31191	−	0.668450i	0.0418433	−	0.0213202i	−0.432944	−	0.901421i	$-0.642525\pi$
$983$	1.31191	−	0.668450i	0.0418433	−	0.0213202i	0.474787	+	0.880101i	$0.342525\pi$
$984$	−0.424346	+	1.30600i	−0.0135276	+	0.0416338i
$985$	16.3836	−	8.77365i	0.522025	−	0.279552i
$986$	−18.3938			−0.585778
$987$	22.3175	−	22.3175i	0.710373	−	0.710373i
$988$	12.1868	−	23.9179i	0.387712	−	0.760928i
$989$	7.29914	+	10.0464i	0.232099	+	0.319457i
$990$	−0.584109	−	0.282751i	−0.0185642	−	0.00898641i
$991$		−	41.5665i		−	1.32040i	−0.751088	−	0.660202i	$-0.770471\pi$
$991$		−	41.5665i		−	1.32040i	0.751088	−	0.660202i	$-0.229529\pi$
$992$	2.36970	−	5.03831i	0.0752380	−	0.159966i
$993$	−14.2298	+	14.2298i	−0.451569	+	0.451569i
$994$	−11.6515	+	16.0369i	−0.369563	+	0.508660i
$995$	0.611494	+	29.9493i	0.0193857	+	0.949455i
$996$	1.03492	+	3.18516i	0.0327928	+	0.100926i
$997$	21.7061	+	21.7061i	0.687439	+	0.687439i	0.961665	−	0.274226i	$-0.0884216\pi$
$997$	21.7061	+	21.7061i	0.687439	+	0.687439i	−0.274226	+	0.961665i	$0.588422\pi$
$998$	23.4166	+	23.4166i	0.741240	+	0.741240i
$999$	4.77747	−	1.55229i	0.151152	−	0.0491124i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bj.a.277.2	✓	128
5.3	odd	4		930.2.bj.b.463.2	yes	128
31.15	odd	10		930.2.bj.b.697.2	yes	128
155.108	even	20	inner	930.2.bj.a.883.2	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bj.a.277.2	✓	128	1.1	even	1	trivial
930.2.bj.a.883.2	yes	128	155.108	even	20	inner
930.2.bj.b.463.2	yes	128	5.3	odd	4
930.2.bj.b.697.2	yes	128	31.15	odd	10

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.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.156434 - 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-1.27713 + 1.83547i) q^{5} -1.00000i q^{6} +(2.18789 - 4.29397i) q^{7} +(0.453990 + 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\)	\(q+(-0.156434 - 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-1.27713 + 1.83547i) q^{5} -1.00000i q^{6} +(2.18789 - 4.29397i) q^{7} +(0.453990 + 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +(2.01266 + 0.974271i) q^{10} +(-0.276013 + 0.0896822i) q^{11} +(-0.987688 + 0.156434i) q^{12} +(-3.58086 - 0.567152i) q^{13} +(-4.58337 - 1.48923i) q^{14} +(-1.54853 + 1.61309i) q^{15} +(0.809017 - 0.587785i) q^{16} +(0.977933 + 1.91930i) q^{17} +(0.156434 - 0.987688i) q^{18} +(4.35204 - 5.99007i) q^{19} +(0.647427 - 2.14029i) q^{20} +(2.83268 - 3.89884i) q^{21} +(0.131756 + 0.258586i) q^{22} +(5.81943 - 2.96515i) q^{23} +(0.309017 + 0.951057i) q^{24} +(-1.73790 - 4.68825i) q^{25} +3.62550i q^{26} +(0.891007 + 0.453990i) q^{27} +(-0.753894 + 4.75990i) q^{28} +(-6.90823 - 5.01912i) q^{29} +(1.83547 + 1.27713i) q^{30} +(1.88699 + 5.23825i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(-0.286645 + 0.0454000i) q^{33} +(1.74269 - 1.26614i) q^{34} +(5.08725 + 9.49974i) q^{35} -1.00000 q^{36} +(3.55203 - 3.55203i) q^{37} +(-6.59713 - 3.36140i) q^{38} +(-3.44805 - 1.12034i) q^{39} +(-2.21522 - 0.304641i) q^{40} +(1.11095 + 0.807154i) q^{41} +(-4.29397 - 2.18789i) q^{42} +(0.297431 + 1.87790i) q^{43} +(0.234791 - 0.170586i) q^{44} +(-1.78181 + 1.35098i) q^{45} +(-3.83900 - 5.28393i) q^{46} +(6.46848 + 1.02451i) q^{47} +(0.891007 - 0.453990i) q^{48} +(-9.53683 - 13.1263i) q^{49} +(-4.35866 + 2.44991i) q^{50} +(0.665648 + 2.04865i) q^{51} +(3.58086 - 0.567152i) q^{52} +(6.93041 - 3.53122i) q^{53} +(0.309017 - 0.951057i) q^{54} +(0.187895 - 0.621150i) q^{55} +4.81924 q^{56} +(5.23551 - 5.23551i) q^{57} +(-3.87665 + 7.60835i) q^{58} +(-0.457253 - 0.629355i) q^{59} +(0.974271 - 2.01266i) q^{60} -10.2754i q^{61} +(4.87857 - 2.68320i) q^{62} +(3.40771 - 3.40771i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(5.61420 - 5.84824i) q^{65} +(0.0896822 + 0.276013i) q^{66} +(-3.08764 - 3.08764i) q^{67} +(-1.52317 - 1.52317i) q^{68} +(6.21164 - 2.01828i) q^{69} +(8.58696 - 6.51070i) q^{70} +(1.27106 - 3.91193i) q^{71} +(0.156434 + 0.987688i) q^{72} +(-4.41111 + 8.65730i) q^{73} +(-4.06396 - 2.95264i) q^{74} +(-0.983099 - 4.90240i) q^{75} +(-2.28800 + 7.04175i) q^{76} +(-0.218794 + 1.38141i) q^{77} +(-0.567152 + 3.58086i) q^{78} +(2.52756 - 7.77902i) q^{79} +(0.0456458 + 2.23560i) q^{80} +(0.809017 + 0.587785i) q^{81} +(0.623425 - 1.22354i) q^{82} +(-0.523911 - 3.30785i) q^{83} +(-1.48923 + 4.58337i) q^{84} +(-4.77176 - 0.656223i) q^{85} +(1.80826 - 0.587538i) q^{86} +(-6.03802 - 6.03802i) q^{87} +(-0.205215 - 0.205215i) q^{88} +(0.737317 + 2.26923i) q^{89} +(1.61309 + 1.54853i) q^{90} +(-10.2699 + 14.1352i) q^{91} +(-4.61833 + 4.61833i) q^{92} +(1.04432 + 5.46895i) q^{93} -6.54911i q^{94} +(5.43649 + 15.6381i) q^{95} +(-0.587785 - 0.809017i) q^{96} +(-5.53372 + 10.8605i) q^{97} +(-11.4728 + 11.4728i) q^{98} -0.290218 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q - 16 q^{7}+O(q^{10}) \) 128 * q - 16 * q^7	\( 128 q - 16 q^{7} - 4 q^{10} + 4 q^{15} + 32 q^{16} - 12 q^{17} - 40 q^{19} + 40 q^{21} + 16 q^{22} - 32 q^{24} - 8 q^{25} - 4 q^{28} + 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} + 64 q^{37} - 16 q^{38} - 24 q^{41} + 4 q^{42} + 24 q^{43} - 8 q^{44} + 20 q^{46} + 108 q^{47} - 100 q^{49} - 24 q^{50} + 16 q^{53} - 32 q^{54} + 12 q^{55} + 16 q^{57} - 40 q^{58} - 16 q^{62} - 4 q^{63} + 36 q^{65} - 12 q^{66} - 32 q^{67} + 8 q^{68} - 32 q^{70} + 24 q^{71} + 60 q^{73} - 16 q^{74} + 24 q^{75} - 24 q^{76} - 20 q^{77} - 56 q^{79} + 32 q^{81} - 16 q^{82} - 8 q^{83} - 132 q^{85} - 20 q^{87} - 4 q^{88} + 136 q^{89} - 40 q^{91} - 64 q^{93} + 108 q^{95} + 64 q^{97} - 16 q^{98} - 8 q^{99}+O(q^{100}) \) 128 * q - 16 * q^7 - 4 * q^10 + 4 * q^15 + 32 * q^16 - 12 * q^17 - 40 * q^19 + 40 * q^21 + 16 * q^22 - 32 * q^24 - 8 * q^25 - 4 * q^28 + 8 * q^29 + 20 * q^31 + 4 * q^33 + 24 * q^35 - 128 * q^36 + 64 * q^37 - 16 * q^38 - 24 * q^41 + 4 * q^42 + 24 * q^43 - 8 * q^44 + 20 * q^46 + 108 * q^47 - 100 * q^49 - 24 * q^50 + 16 * q^53 - 32 * q^54 + 12 * q^55 + 16 * q^57 - 40 * q^58 - 16 * q^62 - 4 * q^63 + 36 * q^65 - 12 * q^66 - 32 * q^67 + 8 * q^68 - 32 * q^70 + 24 * q^71 + 60 * q^73 - 16 * q^74 + 24 * q^75 - 24 * q^76 - 20 * q^77 - 56 * q^79 + 32 * q^81 - 16 * q^82 - 8 * q^83 - 132 * q^85 - 20 * q^87 - 4 * q^88 + 136 * q^89 - 40 * q^91 - 64 * q^93 + 108 * q^95 + 64 * q^97 - 16 * q^98 - 8 * q^99

Introduction

L-functions

Modular forms

Varieties

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Database

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