LMFDB - Embedded newform 95.2.r.a.32.4

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [95,2,Mod(2,95)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(95, base_ring=CyclotomicField(36)) chi = DirichletCharacter(H, H._module([9, 2])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("95.2"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	95.r (of order $36$, degree $12$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$0.758578819202$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$8$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			32.4
Character	$\chi$	$=$	95.32
Dual form			95.2.r.a.3.4

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.0260387 - 0.297624i) q^{2} +(-0.818952 - 1.75625i) q^{3} +(1.88171 + 0.331797i) q^{4} +(-1.72736 - 1.41994i) q^{5} +(-0.544026 + 0.198009i) q^{6} +(-0.323332 + 0.0866366i) q^{7} +(0.302398 - 1.12856i) q^{8} +(-0.485360 + 0.578430i) q^{9} +(-0.467587 + 0.477130i) q^{10} +(0.885063 + 1.53297i) q^{11} +(-0.958315 - 3.57648i) q^{12} +(2.07700 + 0.968521i) q^{13} +(0.0173660 + 0.0984873i) q^{14} +(-1.07914 + 4.19653i) q^{15} +(3.26301 + 1.18764i) q^{16} +(-2.73085 - 0.238918i) q^{17} +(0.159516 + 0.159516i) q^{18} +(0.174252 + 4.35541i) q^{19} +(-2.77926 - 3.24505i) q^{20} +(0.416949 + 0.496900i) q^{21} +(0.479296 - 0.223499i) q^{22} +(4.93359 + 7.04590i) q^{23} +(-2.22969 + 0.393154i) q^{24} +(0.967536 + 4.90549i) q^{25} +(0.342337 - 0.592946i) q^{26} +(-4.20197 - 1.12592i) q^{27} +(-0.637164 + 0.0557446i) q^{28} +(-4.70481 - 3.94780i) q^{29} +(1.22089 + 0.430451i) q^{30} +(-1.80927 - 1.04458i) q^{31} +(1.42599 - 3.05804i) q^{32} +(1.96746 - 2.80982i) q^{33} +(-0.142216 + 0.806545i) q^{34} +(0.681529 + 0.309460i) q^{35} +(-1.10523 + 0.927398i) q^{36} +(4.27833 - 4.27833i) q^{37} +(1.30081 + 0.0615479i) q^{38} -4.44090i q^{39} +(-2.12485 + 1.52005i) q^{40} +(2.08289 - 5.72270i) q^{41} +(0.158746 - 0.111155i) q^{42} +(-4.37761 - 3.06524i) q^{43} +(1.15680 + 3.17828i) q^{44} +(1.65973 - 0.309973i) q^{45} +(2.22549 - 1.28489i) q^{46} +(0.503417 + 5.75408i) q^{47} +(-0.586460 - 6.70326i) q^{48} +(-5.96514 + 3.44398i) q^{49} +(1.48519 - 0.160229i) q^{50} +(1.81683 + 4.99171i) q^{51} +(3.58697 + 2.51162i) q^{52} +(1.74473 - 1.22167i) q^{53} +(-0.444513 + 1.22129i) q^{54} +(0.647911 - 3.90473i) q^{55} +0.391100i q^{56} +(7.50648 - 3.87290i) q^{57} +(-1.29747 + 1.29747i) q^{58} +(1.26888 - 1.06472i) q^{59} +(-3.42304 + 7.53861i) q^{60} +(1.59718 - 9.05803i) q^{61} +(-0.358003 + 0.511282i) q^{62} +(0.106819 - 0.229075i) q^{63} +(5.14139 + 2.96838i) q^{64} +(-2.21248 - 4.62220i) q^{65} +(-0.785040 - 0.658727i) q^{66} +(-10.9469 + 0.957732i) q^{67} +(-5.05941 - 1.35566i) q^{68} +(8.33397 - 14.4349i) q^{69} +(0.109849 - 0.194781i) q^{70} +(-15.3710 + 2.71031i) q^{71} +(0.506024 + 0.722676i) q^{72} +(-5.01402 + 2.33808i) q^{73} +(-1.16193 - 1.38473i) q^{74} +(7.82290 - 5.71659i) q^{75} +(-1.11722 + 8.25346i) q^{76} +(-0.418981 - 0.418981i) q^{77} +(-1.32172 - 0.115635i) q^{78} +(14.0660 + 5.11962i) q^{79} +(-3.95001 - 6.68475i) q^{80} +(1.85719 + 10.5326i) q^{81} +(-1.64898 - 0.768931i) q^{82} +(0.859936 + 3.20933i) q^{83} +(0.619708 + 1.07337i) q^{84} +(4.37791 + 4.29034i) q^{85} +(-1.02628 + 1.22307i) q^{86} +(-3.08031 + 11.4959i) q^{87} +(1.99770 - 0.535283i) q^{88} +(-9.75391 + 3.55013i) q^{89} +(-0.0490382 - 0.502046i) q^{90} +(-0.755470 - 0.133210i) q^{91} +(6.94580 + 14.8953i) q^{92} +(-0.352840 + 4.03298i) q^{93} +1.72566 q^{94} +(5.88344 - 7.77079i) q^{95} -6.53849 q^{96} +(-0.522802 + 5.97565i) q^{97} +(0.869685 + 1.86504i) q^{98} +(-1.31629 - 0.232098i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8} - 12 q^{10} - 12 q^{11} - 18 q^{12} - 12 q^{13} + 6 q^{15} + 12 q^{16} - 30 q^{17} - 84 q^{20} + 24 q^{21} - 24 q^{22} + 12 q^{25} - 48 q^{26}+ \cdots - 90 q^{98}+O(q^{100}) $ 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8 - 12 * q^10 - 12 * q^11 - 18 * q^12 - 12 * q^13 + 6 * q^15 + 12 * q^16 - 30 * q^17 - 84 * q^20 + 24 * q^21 - 24 * q^22 + 12 * q^25 - 48 * q^26 - 18 * q^27 - 6 * q^30 - 36 * q^31 + 18 * q^32 + 90 * q^33 - 30 * q^35 + 24 * q^36 + 54 * q^38 + 54 * q^40 + 12 * q^41 + 24 * q^42 + 48 * q^43 + 12 * q^45 - 36 * q^46 - 24 * q^47 + 60 * q^48 + 126 * q^50 - 96 * q^51 - 30 * q^53 + 18 * q^55 - 66 * q^57 + 120 * q^58 + 84 * q^60 - 48 * q^61 + 60 * q^62 - 126 * q^63 + 72 * q^65 + 72 * q^66 + 108 * q^67 + 18 * q^68 + 36 * q^70 - 24 * q^71 + 48 * q^72 + 6 * q^73 + 60 * q^76 + 168 * q^77 - 138 * q^78 - 60 * q^80 - 120 * q^81 + 60 * q^82 - 36 * q^85 - 180 * q^86 - 6 * q^87 - 198 * q^88 - 270 * q^90 - 24 * q^91 - 72 * q^92 - 90 * q^93 - 24 * q^95 - 192 * q^96 - 72 * q^97 - 90 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	0.0260387	−	0.297624i	0.0184122	−	0.210452i	−0.981416	−	0.191894i	$-0.938537\pi$
$2$	0.0260387	−	0.297624i	0.0184122	−	0.210452i	0.999828	−	0.0185578i	$-0.00590746\pi$
$3$	−0.818952	−	1.75625i	−0.472822	−	1.01397i	−0.987650	−	0.156676i	$-0.949922\pi$
$3$	−0.818952	−	1.75625i	−0.472822	−	1.01397i	0.514828	−	0.857293i	$-0.327856\pi$
$4$	1.88171	+	0.331797i	0.940857	+	0.165898i
$5$	−1.72736	−	1.41994i	−0.772498	−	0.635017i
$5$	−1.72736	−	1.41994i	−0.772498	−	0.635017i
$6$	−0.544026	+	0.198009i	−0.222098	+	0.0808369i
$7$	−0.323332	+	0.0866366i	−0.122208	+	0.0327456i	−0.319405	−	0.947618i	$-0.603483\pi$
$7$	−0.323332	+	0.0866366i	−0.122208	+	0.0327456i	0.197197	+	0.980364i	$0.436816\pi$
$8$	0.302398	−	1.12856i	0.106914	−	0.399008i
$9$	−0.485360	+	0.578430i	−0.161787	+	0.192810i
$10$	−0.467587	+	0.477130i	−0.147864	+	0.150882i
$11$	0.885063	+	1.53297i	0.266856	+	0.462209i	0.968048	−	0.250764i	$-0.0806817\pi$
$11$	0.885063	+	1.53297i	0.266856	+	0.462209i	−0.701192	+	0.712973i	$0.747348\pi$
$12$	−0.958315	−	3.57648i	−0.276642	−	1.03244i
$13$	2.07700	+	0.968521i	0.576056	+	0.268619i	0.688736	−	0.725012i	$-0.258166\pi$
$13$	2.07700	+	0.968521i	0.576056	+	0.268619i	−0.112680	+	0.993631i	$0.535944\pi$
$14$	0.0173660	+	0.0984873i	0.00464125	+	0.0263218i
$15$	−1.07914	+	4.19653i	−0.278634	+	1.08354i
$16$	3.26301	+	1.18764i	0.815752	+	0.296909i
$17$	−2.73085	−	0.238918i	−0.662328	−	0.0579462i	−0.248965	−	0.968512i	$-0.580090\pi$
$17$	−2.73085	−	0.238918i	−0.662328	−	0.0579462i	−0.413363	+	0.910566i	$0.635646\pi$
$18$	0.159516	+	0.159516i	0.0375984	+	0.0375984i
$19$	0.174252	+	4.35541i	0.0399761	+	0.999201i
$19$	0.174252	+	4.35541i	0.0399761	+	0.999201i
$20$	−2.77926	−	3.24505i	−0.621462	−	0.725616i
$21$	0.416949	+	0.496900i	0.0909857	+	0.108432i
$22$	0.479296	−	0.223499i	0.102186	−	0.0476502i
$23$	4.93359	+	7.04590i	1.02872	+	1.46917i	0.876845	+	0.480772i	$0.159644\pi$
$23$	4.93359	+	7.04590i	1.02872	+	1.46917i	0.151879	+	0.988399i	$0.451467\pi$
$24$	−2.22969	+	0.393154i	−0.455133	+	0.0802523i
$25$	0.967536	+	4.90549i	0.193507	+	0.981099i
$26$	0.342337	−	0.592946i	0.0671379	−	0.116286i
$27$	−4.20197	−	1.12592i	−0.808670	−	0.216683i
$28$	−0.637164	+	0.0557446i	−0.120413	+	0.0105347i
$29$	−4.70481	−	3.94780i	−0.873661	−	0.733089i	0.0912048	−	0.995832i	$-0.470928\pi$
$29$	−4.70481	−	3.94780i	−0.873661	−	0.733089i	−0.964866	+	0.262744i	$0.915373\pi$
$30$	1.22089	+	0.430451i	0.222903	+	0.0785893i
$31$	−1.80927	−	1.04458i	−0.324954	−	0.187612i	0.328645	−	0.944454i	$-0.393408\pi$
$31$	−1.80927	−	1.04458i	−0.324954	−	0.187612i	−0.653599	+	0.756841i	$0.726742\pi$
$32$	1.42599	−	3.05804i	0.252081	−	0.540590i
$33$	1.96746	−	2.80982i	0.342490	−	0.489127i
$34$	−0.142216	+	0.806545i	−0.0243898	+	0.138321i
$35$	0.681529	+	0.309460i	0.115199	+	0.0523083i
$36$	−1.10523	+	0.927398i	−0.184205	+	0.154566i
$37$	4.27833	−	4.27833i	0.703353	−	0.703353i	−0.261776	−	0.965129i	$-0.584308\pi$
$37$	4.27833	−	4.27833i	0.703353	−	0.703353i	0.965129	+	0.261776i	$0.0843082\pi$
$38$	1.30081	+	0.0615479i	0.211020	+	0.00998439i
$39$		−	4.44090i		−	0.711113i
$40$	−2.12485	+	1.52005i	−0.335968	+	0.240341i
$41$	2.08289	−	5.72270i	0.325293	−	0.893736i	−0.663992	−	0.747740i	$-0.731139\pi$
$41$	2.08289	−	5.72270i	0.325293	−	0.893736i	0.989285	−	0.145996i	$-0.0466387\pi$
$42$	0.158746	−	0.111155i	0.0244951	−	0.0171516i
$43$	−4.37761	−	3.06524i	−0.667580	−	0.467444i	0.190008	−	0.981783i	$-0.439149\pi$
$43$	−4.37761	−	3.06524i	−0.667580	−	0.467444i	−0.857587	+	0.514338i	$0.828038\pi$
$44$	1.15680	+	3.17828i	0.174394	+	0.479144i
$45$	1.65973	−	0.309973i	0.247418	−	0.0462080i
$46$	2.22549	−	1.28489i	0.328131	−	0.189446i
$47$	0.503417	+	5.75408i	0.0734309	+	0.839319i	0.940203	+	0.340615i	$0.110635\pi$
$47$	0.503417	+	5.75408i	0.0734309	+	0.839319i	−0.866772	+	0.498704i	$0.833809\pi$
$48$	−0.586460	−	6.70326i	−0.0846482	−	0.967533i
$49$	−5.96514	+	3.44398i	−0.852163	+	0.491996i
$50$	1.48519	−	0.160229i	0.210037	−	0.0226598i
$51$	1.81683	+	4.99171i	0.254408	+	0.698979i
$52$	3.58697	+	2.51162i	0.497423	+	0.348299i
$53$	1.74473	−	1.22167i	0.239656	−	0.167809i	−0.447578	−	0.894245i	$-0.647713\pi$
$53$	1.74473	−	1.22167i	0.239656	−	0.167809i	0.687235	+	0.726436i	$0.258824\pi$
$54$	−0.444513	+	1.22129i	−0.0604906	+	0.166197i
$55$	0.647911	−	3.90473i	0.0873643	−	0.526514i
$56$			0.391100i			0.0522629i
$57$	7.50648	−	3.87290i	0.994258	−	0.512979i
$58$	−1.29747	+	1.29747i	−0.170366	+	0.170366i
$59$	1.26888	−	1.06472i	0.165194	−	0.138614i	−0.556443	−	0.830886i	$-0.687834\pi$
$59$	1.26888	−	1.06472i	0.165194	−	0.138614i	0.721637	+	0.692271i	$0.243390\pi$
$60$	−3.42304	+	7.53861i	−0.441912	+	0.973231i
$61$	1.59718	−	9.05803i	0.204497	−	1.15976i	−0.693731	−	0.720234i	$-0.744035\pi$
$61$	1.59718	−	9.05803i	0.204497	−	1.15976i	0.898229	−	0.439528i	$-0.144854\pi$
$62$	−0.358003	+	0.511282i	−0.0454665	+	0.0649329i
$63$	0.106819	−	0.229075i	0.0134580	−	0.0288607i
$64$	5.14139	+	2.96838i	0.642674	+	0.371048i
$65$	−2.21248	−	4.62220i	−0.274424	−	0.573313i
$66$	−0.785040	−	0.658727i	−0.0966317	−	0.0810836i
$67$	−10.9469	+	0.957732i	−1.33738	+	0.117006i	−0.733293	−	0.679913i	$-0.762018\pi$
$67$	−10.9469	+	0.957732i	−1.33738	+	0.117006i	−0.604087	+	0.796918i	$0.706462\pi$
$68$	−5.05941	−	1.35566i	−0.613543	−	0.164398i
$69$	8.33397	−	14.4349i	1.00329	−	1.73775i
$70$	0.109849	−	0.194781i	0.0131295	−	0.0232808i
$71$	−15.3710	+	2.71031i	−1.82420	+	0.321655i	−0.977583	−	0.210553i	$-0.932474\pi$
$71$	−15.3710	+	2.71031i	−1.82420	+	0.321655i	−0.846614	+	0.532208i	$0.821363\pi$
$72$	0.506024	+	0.722676i	0.0596354	+	0.0851682i
$73$	−5.01402	+	2.33808i	−0.586846	+	0.273651i	−0.693279	−	0.720669i	$-0.743835\pi$
$73$	−5.01402	+	2.33808i	−0.586846	+	0.273651i	0.106433	+	0.994320i	$0.466057\pi$
$74$	−1.16193	−	1.38473i	−0.135072	−	0.160972i
$75$	7.82290	−	5.71659i	0.903310	−	0.660095i
$76$	−1.11722	+	8.25346i	−0.128154	+	0.946737i
$77$	−0.418981	−	0.418981i	−0.0477473	−	0.0477473i
$78$	−1.32172	−	0.115635i	−0.149655	−	0.0130931i
$79$	14.0660	+	5.11962i	1.58255	+	0.576002i	0.975757	−	0.218855i	$-0.0702322\pi$
$79$	14.0660	+	5.11962i	1.58255	+	0.576002i	0.606796	+	0.794857i	$0.292454\pi$
$80$	−3.95001	−	6.68475i	−0.441624	−	0.747378i
$81$	1.85719	+	10.5326i	0.206354	+	1.17029i
$82$	−1.64898	−	0.768931i	−0.182099	−	0.0849142i
$83$	0.859936	+	3.20933i	0.0943903	+	0.352269i	0.996926	−	0.0783450i	$-0.0249636\pi$
$83$	0.859936	+	3.20933i	0.0943903	+	0.352269i	−0.902536	+	0.430614i	$0.858297\pi$
$84$	0.619708	+	1.07337i	0.0676157	+	0.117114i
$85$	4.37791	+	4.29034i	0.474851	+	0.465353i
$86$	−1.02628	+	1.22307i	−0.110666	+	0.131887i
$87$	−3.08031	+	11.4959i	−0.330244	+	1.23249i
$88$	1.99770	−	0.535283i	0.212956	−	0.0570613i
$89$	−9.75391	+	3.55013i	−1.03391	+	0.376313i	−0.802569	−	0.596559i	$-0.796534\pi$
$89$	−9.75391	+	3.55013i	−1.03391	+	0.376313i	−0.231343	+	0.972872i	$0.574312\pi$
$90$	−0.0490382	−	0.502046i	−0.00516908	−	0.0529203i
$91$	−0.755470	−	0.133210i	−0.0791948	−	0.0139642i
$92$	6.94580	+	14.8953i	0.724150	+	1.55294i
$93$	−0.352840	+	4.03298i	−0.0365878	+	0.418201i
$94$	1.72566			0.177988
$95$	5.88344	−	7.77079i	0.603628	−	0.797266i
$96$	−6.53849			−0.667332
$97$	−0.522802	+	5.97565i	−0.0530825	+	0.606736i	0.922338	+	0.386384i	$0.126276\pi$
$97$	−0.522802	+	5.97565i	−0.0530825	+	0.606736i	−0.975420	+	0.220352i	$0.929280\pi$
$98$	0.869685	+	1.86504i	0.0878514	+	0.188398i
$99$	−1.31629	−	0.232098i	−0.132292	−	0.0233267i
$100$	0.192998	+	9.55176i	0.0192998	+	0.955176i
$101$	10.0826	−	3.66976i	1.00326	−	0.365155i	0.212416	−	0.977179i	$-0.431867\pi$
$101$	10.0826	−	3.66976i	1.00326	−	0.365155i	0.790839	+	0.612024i	$0.209645\pi$
$102$	1.53296	−	0.410756i	0.151786	−	0.0406709i
$103$	−2.77767	+	10.3664i	−0.273692	+	1.02143i	0.683021	+	0.730398i	$0.260666\pi$
$103$	−2.77767	+	10.3664i	−0.273692	+	1.02143i	−0.956713	+	0.291033i	$0.906001\pi$
$104$	1.72112	−	2.05115i	0.168770	−	0.201132i
$105$	−0.0146512	−	1.45037i	−0.00142981	−	0.141541i
$106$	−0.318168	−	0.551083i	−0.0309032	−	0.0535259i
$107$	−0.570046	−	2.12744i	−0.0551085	−	0.205668i	0.932882	−	0.360182i	$-0.117285\pi$
$107$	−0.570046	−	2.12744i	−0.0551085	−	0.205668i	−0.987991	+	0.154514i	$0.950619\pi$
$108$	−7.53334	−	3.51285i	−0.724896	−	0.338024i
$109$	−1.51271	−	8.57902i	−0.144892	−	0.821721i	−0.967454	−	0.253046i	$-0.918568\pi$
$109$	−1.51271	−	8.57902i	−0.144892	−	0.821721i	0.822563	−	0.568675i	$-0.192544\pi$
$110$	−1.14527	−	0.294508i	−0.109197	−	0.0280802i
$111$	−11.0175	−	4.01006i	−1.04574	−	0.380618i
$112$	−1.15793	−	0.101306i	−0.109414	−	0.00957247i
$113$	8.30039	+	8.30039i	0.780835	+	0.780835i	0.979972	−	0.199137i	$-0.0638138\pi$
$113$	8.30039	+	8.30039i	0.780835	+	0.780835i	−0.199137	+	0.979972i	$0.563814\pi$
$114$	−0.957209	−	2.33495i	−0.0896509	−	0.218688i
$115$	1.48268	−	19.1762i	0.138260	−	1.78819i
$116$	−7.54323	−	8.98967i	−0.700372	−	0.834670i
$117$	−1.56831	+	0.731317i	−0.144991	+	0.0676103i
$118$	−0.283845	−	0.405372i	−0.0261300	−	0.0373176i
$119$	0.903671	−	0.159342i	0.0828394	−	0.0146068i
$120$	4.40973	+	2.48691i	0.402551	+	0.227023i
$121$	3.93333	−	6.81272i	0.357575	−	0.619338i
$122$	−2.65430	−	0.711217i	−0.240309	−	0.0643906i
$123$	−11.7563	+	1.02854i	−1.06003	+	0.0927404i
$124$	−3.05794	−	2.56591i	−0.274611	−	0.230426i
$125$	5.29423	−	9.84739i	0.473530	−	0.880777i
$126$	−0.0653967	−	0.0377568i	−0.00582600	−	0.00336364i
$127$	2.82960	−	6.06809i	0.251086	−	0.538456i	−0.739853	−	0.672769i	$-0.765105\pi$
$127$	2.82960	−	6.06809i	0.251086	−	0.538456i	0.990939	+	0.134313i	$0.0428827\pi$
$128$	4.88803	−	6.98083i	0.432045	−	0.617024i
$129$	−1.79826	+	10.1985i	−0.158328	+	0.897924i
$130$	−1.43329	+	0.538131i	−0.125708	+	0.0471972i
$131$	5.62950	−	4.72371i	0.491851	−	0.412712i	−0.362838	−	0.931852i	$-0.618192\pi$
$131$	5.62950	−	4.72371i	0.491851	−	0.412712i	0.854689	+	0.519140i	$0.173748\pi$
$132$	4.63448	−	4.63448i	0.403380	−	0.403380i
$133$	−0.433679	−	1.39315i	−0.0376048	−	0.120801i
$134$			3.28301i			0.283609i
$135$	5.65958	+	7.91141i	0.487099	+	0.680906i
$136$	−1.09544	+	3.00969i	−0.0939331	+	0.258079i
$137$	−4.31014	+	3.01799i	−0.368240	+	0.257845i	−0.743020	−	0.669269i	$-0.766607\pi$
$137$	−4.31014	+	3.01799i	−0.368240	+	0.257845i	0.374780	+	0.927114i	$0.377718\pi$
$138$	−4.07915	−	2.85625i	−0.347240	−	0.243140i
$139$	−6.35505	−	17.4603i	−0.539028	−	1.48097i	−0.848052	−	0.529913i	$-0.822225\pi$
$139$	−6.35505	−	17.4603i	−0.539028	−	1.48097i	0.309024	−	0.951054i	$-0.399998\pi$
$140$	1.17977	+	0.808445i	0.0997084	+	0.0683260i
$141$	9.69332	−	5.59644i	0.816324	−	0.471305i
$142$	0.406414	+	4.64534i	0.0341055	+	0.389828i
$143$	0.353558	+	4.04119i	0.0295660	+	0.337941i
$144$	−2.27070	+	1.31099i	−0.189225	+	0.109249i
$145$	2.52124	+	13.4998i	0.209378	+	1.12110i
$146$	0.565308	+	1.55317i	0.0467853	+	0.128541i
$147$	10.9336	+	7.65581i	0.901791	+	0.631441i
$148$	9.47012	−	6.63105i	0.778439	−	0.545069i
$149$	−6.71169	+	18.4402i	−0.549843	+	1.51068i	0.284080	+	0.958800i	$0.408312\pi$
$149$	−6.71169	+	18.4402i	−0.549843	+	1.51068i	−0.833923	+	0.551880i	$0.813910\pi$
$150$	−1.49770	−	2.47713i	−0.122286	−	0.202257i
$151$		−	1.28151i		−	0.104288i	−0.998640	−	0.0521440i	$-0.983395\pi$
$151$		−	1.28151i		−	0.104288i	0.998640	−	0.0521440i	$-0.0166055\pi$
$152$	4.96806	+	1.12041i	0.402963	+	0.0908776i
$153$	1.46364	−	1.46364i	0.118329	−	0.118329i
$154$	−0.135608	+	0.113789i	−0.0109276	+	0.00916938i
$155$	1.64201	+	4.37342i	0.131889	+	0.351282i
$156$	1.47348	−	8.35649i	0.117972	−	0.669055i
$157$	9.33390	−	13.3302i	0.744926	−	1.06387i	−0.250480	−	0.968122i	$-0.580588\pi$
$157$	9.33390	−	13.3302i	0.744926	−	1.06387i	0.995406	−	0.0957434i	$-0.0305228\pi$
$158$	1.88998	−	4.05308i	0.150359	−	0.322446i
$159$	−3.57440	−	2.06368i	−0.283468	−	0.163661i
$160$	−6.80543	+	3.25752i	−0.538017	+	0.257529i
$161$	−2.20562	−	1.85074i	−0.173827	−	0.145858i
$162$	3.18312	−	0.278487i	0.250089	−	0.0218800i
$163$	−9.84609	−	2.63825i	−0.771205	−	0.206644i	−0.148301	−	0.988942i	$-0.547381\pi$
$163$	−9.84609	−	2.63825i	−0.771205	−	0.206644i	−0.622904	+	0.782298i	$0.714047\pi$
$164$	5.81818	−	10.0774i	0.454324	−	0.786912i
$165$	−7.38828	+	2.05989i	−0.575177	+	0.160363i
$166$	0.977564	−	0.172371i	0.0758737	−	0.0133786i
$167$	1.49356	+	2.13302i	0.115575	+	0.165058i	0.872772	−	0.488129i	$-0.162320\pi$
$167$	1.49356	+	2.13302i	0.115575	+	0.165058i	−0.757197	+	0.653187i	$0.773432\pi$
$168$	0.686868	−	0.320292i	0.0529930	−	0.0247111i
$169$	−4.98034	−	5.93534i	−0.383103	−	0.456565i
$170$	1.39090	−	1.19125i	0.106677	−	0.0913651i
$171$	−2.60388	−	2.01315i	−0.199123	−	0.153950i
$172$	−7.22038	−	7.22038i	−0.550549	−	0.550549i
$173$	18.2413	+	1.59591i	1.38686	+	0.121335i	0.756006	−	0.654565i	$-0.227148\pi$
$173$	18.2413	+	1.59591i	1.38686	+	0.121335i	0.630856	+	0.775900i	$0.282704\pi$
$174$	3.34124	+	1.21611i	0.253299	+	0.0921931i
$175$	−0.737831	−	1.50228i	−0.0557748	−	0.113562i
$176$	1.06735	+	6.05324i	0.0804545	+	0.456280i
$177$	−2.90905	−	1.35651i	−0.218658	−	0.101962i
$178$	0.802625	+	2.99544i	0.0601593	+	0.224518i
$179$	3.88436	+	6.72790i	0.290331	+	0.502867i	0.973888	−	0.227030i	$-0.0729014\pi$
$179$	3.88436	+	6.72790i	0.290331	+	0.502867i	−0.683557	+	0.729897i	$0.739568\pi$
$180$	3.22598	−	0.0325878i	0.240450	−	0.00242895i
$181$	−12.3085	+	14.6688i	−0.914887	+	1.09032i	0.0807244	+	0.996736i	$0.474277\pi$
$181$	−12.3085	+	14.6688i	−0.914887	+	1.09032i	−0.995611	+	0.0935835i	$0.970168\pi$
$182$	−0.0593179	+	0.221377i	−0.00439693	+	0.0164096i
$183$	−17.2162	+	4.61305i	−1.27265	+	0.341007i
$184$	9.44366	−	3.43721i	0.696196	−	0.253395i
$185$	−13.4652	+	1.31523i	−0.989979	+	0.0966979i
$186$	1.19112	+	0.210027i	0.0873375	+	0.0154000i
$187$	−2.05072	−	4.39778i	−0.149963	−	0.321597i
$188$	−0.961900	+	10.9946i	−0.0701538	+	0.801861i
$189$	1.45618			0.105921
$190$	−2.15958	−	1.95339i	−0.156672	−	0.141714i
$191$	15.8411			1.14622			0.573110	−	0.819478i	$-0.305737\pi$
$191$	15.8411			1.14622			0.573110	+	0.819478i	$0.305737\pi$
$192$	1.00267	−	11.4605i	0.0723611	−	0.827092i
$193$	−11.4678	−	24.5928i	−0.825470	−	1.77023i	−0.607589	−	0.794252i	$-0.707863\pi$
$193$	−11.4678	−	24.5928i	−0.825470	−	1.77023i	−0.217882	−	0.975975i	$-0.569915\pi$
$194$	1.76488	+	0.311197i	0.126711	+	0.0223426i
$195$	−6.30581	+	7.67102i	−0.451568	+	0.549333i
$196$	−12.3674	+	4.50136i	−0.883385	+	0.321526i
$197$	−13.9703	+	3.74333i	−0.995343	+	0.266701i	−0.719493	−	0.694499i	$-0.755626\pi$
$197$	−13.9703	+	3.74333i	−0.995343	+	0.266701i	−0.275850	+	0.961201i	$0.588959\pi$
$198$	−0.103352	+	0.385716i	−0.00734494	+	0.0274117i
$199$	−2.04942	+	2.44240i	−0.145279	+	0.173137i	−0.833777	−	0.552101i	$-0.813826\pi$
$199$	−2.04942	+	2.44240i	−0.145279	+	0.173137i	0.688498	+	0.725239i	$0.258271\pi$
$200$	5.82875	+	0.391485i	0.412155	+	0.0276822i
$201$	10.6470	+	18.4412i	0.750983	+	1.30074i
$202$	−0.829671	−	3.09638i	−0.0583755	−	0.217860i
$203$	1.86324	+	0.868843i	0.130774	+	0.0609808i
$204$	1.76253	+	9.99579i	0.123402	+	0.699845i
$205$	−11.7238	+	6.92757i	−0.818826	+	0.483843i
$206$	3.01296	+	1.09663i	0.209923	+	0.0764057i
$207$	−6.47013	−	0.566063i	−0.449705	−	0.0393441i
$208$	5.62701	+	5.62701i	0.390163	+	0.390163i
$209$	−6.52251	+	4.12194i	−0.451172	+	0.285120i
$210$	−0.432045	−	0.0334052i	−0.0298140	−	0.00230518i
$211$	0.360006	+	0.429039i	0.0247838	+	0.0295362i	0.778294	−	0.627900i	$-0.216085\pi$
$211$	0.360006	+	0.429039i	0.0247838	+	0.0295362i	−0.753510	+	0.657436i	$0.771641\pi$
$212$	3.68842	−	1.71994i	0.253322	−	0.118126i
$213$	17.3480	+	24.7756i	1.18867	+	1.69759i
$214$	−0.648021	+	0.114264i	−0.0442978	+	0.00781090i
$215$	3.20925	+	11.5107i	0.218869	+	0.785024i
$216$	−2.54134	+	4.40173i	−0.172916	+	0.299499i
$217$	0.675493	+	0.180998i	0.0458555	+	0.0122869i
$218$	−2.59271	+	0.226833i	−0.175600	+	0.0153630i
$219$	8.21248	+	6.89109i	0.554948	+	0.465656i
$220$	2.51476	−	7.13261i	0.169545	−	0.480881i
$221$	−5.44058	−	3.14112i	−0.365973	−	0.211294i
$222$	−1.48037	+	3.17467i	−0.0993560	+	0.213070i
$223$	12.9118	−	18.4399i	0.864635	−	1.23483i	−0.106023	−	0.994364i	$-0.533812\pi$
$223$	12.9118	−	18.4399i	0.864635	−	1.23483i	0.970658	−	0.240463i	$-0.0772994\pi$
$224$	−0.196130	+	1.11231i	−0.0131045	+	0.0743191i
$225$	−3.30709	−	1.82128i	−0.220472	−	0.121419i
$226$	2.68653	−	2.25426i	0.178705	−	0.149951i
$227$	−11.5076	+	11.5076i	−0.763785	+	0.763785i	−0.977004	−	0.213220i	$-0.931605\pi$
$227$	−11.5076	+	11.5076i	−0.763785	+	0.763785i	0.213220	+	0.977004i	$0.431605\pi$
$228$	15.4101	−	4.79707i	1.02056	−	0.317694i
$229$			11.5082i			0.760486i	0.924887	+	0.380243i	$0.124160\pi$
$229$			11.5082i			0.760486i	−0.924887	+	0.380243i	$0.875840\pi$
$230$	−5.66869	−	0.940604i	−0.373782	−	0.0620216i
$231$	−0.392709	+	1.07896i	−0.0258384	+	0.0709903i
$232$	−5.87808	+	4.11587i	−0.385915	+	0.270220i
$233$	−14.4183	−	10.0958i	−0.944574	−	0.661398i	−0.00364164	−	0.999993i	$-0.501159\pi$
$233$	−14.4183	−	10.0958i	−0.944574	−	0.661398i	−0.940932	+	0.338596i	$0.890048\pi$
$234$	0.176820	+	0.485810i	0.0115591	+	0.0317584i
$235$	7.30087	−	10.6542i	0.476257	−	0.695002i
$236$	2.74094	−	1.58248i	0.178420	−	0.103011i
$237$	−2.52809	−	28.8962i	−0.164217	−	1.87701i
$238$	−0.0238934	−	0.273103i	−0.00154878	−	0.0177026i
$239$	2.74935	−	1.58734i	0.177841	−	0.102676i	−0.408437	−	0.912786i	$-0.633926\pi$
$239$	2.74935	−	1.58734i	0.177841	−	0.102676i	0.586278	+	0.810110i	$0.300593\pi$
$240$	−8.50521	+	12.4117i	−0.549009	+	0.801170i
$241$	2.63620	+	7.24289i	0.169812	+	0.466555i	0.995183	−	0.0980359i	$-0.0312560\pi$
$241$	2.63620	+	7.24289i	0.169812	+	0.466555i	−0.825371	+	0.564591i	$0.809034\pi$
$242$	−1.92521	−	1.34805i	−0.123757	−	0.0866557i
$243$	6.28651	−	4.40186i	0.403280	−	0.282379i
$244$	6.01085	−	16.5147i	0.384805	−	1.05724i
$245$	15.1942	+	2.52117i	0.970720	+	0.161071i
$246$			3.52573i			0.224792i
$247$	−3.85639	+	9.21496i	−0.245376	+	0.586334i
$248$	−1.72600	+	1.72600i	−0.109601	+	0.109601i
$249$	4.93212	−	4.13854i	0.312561	−	0.262270i
$250$	−2.79296	−	1.83210i	−0.176643	−	0.115872i
$251$	−0.155567	+	0.882266i	−0.00981932	+	0.0556881i	−0.989324	−	0.145735i	$-0.953445\pi$
$251$	−0.155567	+	0.882266i	−0.00981932	+	0.0556881i	0.979504	+	0.201423i	$0.0645565\pi$
$252$	0.277010	−	0.395611i	0.0174500	−	0.0249211i
$253$	−6.43464	+	13.7991i	−0.404542	+	0.867544i
$254$	−1.73233	−	1.00016i	−0.108696	−	0.0627557i
$255$	3.94961	−	11.2023i	0.247334	−	0.701513i
$256$	7.14527	+	5.99559i	0.446579	+	0.374725i
$257$	2.14668	−	0.187810i	0.133906	−	0.0117153i	−0.0200056	−	0.999800i	$-0.506368\pi$
$257$	2.14668	−	0.187810i	0.133906	−	0.0117153i	0.153912	+	0.988085i	$0.450813\pi$
$258$	2.98848	+	0.800760i	0.186055	+	0.0498532i
$259$	−1.01266	+	1.75398i	−0.0629237	+	0.108987i
$260$	−2.62962	−	9.43175i	−0.163082	−	0.584932i
$261$	4.56705	−	0.805295i	0.282693	−	0.0498465i
$262$	−1.25930	−	1.79847i	−0.0778000	−	0.111110i
$263$	26.7060	−	12.4532i	1.64676	−	0.767899i	0.646778	−	0.762679i	$-0.276116\pi$
$263$	26.7060	−	12.4532i	1.64676	−	0.767899i	0.999986	−	0.00522005i	$-0.00166160\pi$
$264$	−2.57611	−	3.07009i	−0.158549	−	0.188951i
$265$	−4.74847	−	0.367145i	−0.291696	−	0.0225535i
$266$	−0.425927	+	0.0927976i	−0.0261153	+	0.00568978i
$267$	14.2229	+	14.2229i	0.870427	+	0.870427i
$268$	−20.9168	−	1.82998i	−1.27769	−	0.111784i
$269$	−5.89502	−	2.14561i	−0.359426	−	0.130820i	0.155994	−	0.987758i	$-0.450142\pi$
$269$	−5.89502	−	2.14561i	−0.359426	−	0.130820i	−0.515420	+	0.856938i	$0.672364\pi$
$270$	2.50199	−	1.47842i	0.152267	−	0.0899740i
$271$	−1.04597	−	5.93198i	−0.0635381	−	0.360342i	−0.999955	−	0.00945382i	$-0.996991\pi$
$271$	−1.04597	−	5.93198i	−0.0635381	−	0.360342i	0.936417	−	0.350889i	$-0.114120\pi$
$272$	−8.62703	−	4.02285i	−0.523091	−	0.243921i
$273$	0.384744	+	1.43588i	0.0232858	+	0.0869037i
$274$	0.785996	+	1.36139i	0.0474838	+	0.0822443i
$275$	−6.66366	+	5.82488i	−0.401834	+	0.351253i
$276$	20.4716	−	24.3971i	1.23224	−	1.46853i
$277$	5.85032	−	21.8337i	0.351512	−	1.31186i	−0.533306	−	0.845922i	$-0.679051\pi$
$277$	5.85032	−	21.8337i	0.351512	−	1.31186i	0.884818	−	0.465937i	$-0.154283\pi$
$278$	−5.36209	+	1.43677i	−0.321597	+	0.0861716i
$279$	1.48236	−	0.539536i	0.0887468	−	0.0323012i
$280$	0.555339	−	0.675570i	0.0331878	−	0.0403730i
$281$	−11.8624	−	2.09165i	−0.707649	−	0.124778i	−0.191771	−	0.981440i	$-0.561423\pi$
$281$	−11.8624	−	2.09165i	−0.707649	−	0.124778i	−0.515878	+	0.856662i	$0.672534\pi$
$282$	−1.41323	−	3.03069i	−0.0841568	−	0.180475i
$283$	−1.01634	+	11.6168i	−0.0604152	+	0.690549i	0.904238	+	0.427028i	$0.140439\pi$
$283$	−1.01634	+	11.6168i	−0.0604152	+	0.690549i	−0.964654	+	0.263521i	$0.915116\pi$
$284$	−29.8230			−1.76967
$285$	−18.4657	−	3.96887i	−1.09381	−	0.235095i
$286$	1.21196			0.0716647
$287$	−0.177671	+	2.03079i	−0.0104876	+	0.119874i
$288$	1.07674	+	2.30909i	0.0634478	+	0.136064i
$289$	−9.34127	−	1.64712i	−0.549487	−	0.0968893i
$290$	4.08352	−	0.398865i	0.239792	−	0.0234221i
$291$	10.9229	−	3.97560i	0.640310	−	0.233054i
$292$	−10.2107	+	2.73595i	−0.597537	+	0.160109i
$293$	3.25928	−	12.1638i	0.190409	−	0.710616i	−0.802999	−	0.595981i	$-0.796763\pi$
$293$	3.25928	−	12.1638i	0.190409	−	0.710616i	0.993408	−	0.114635i	$-0.0365698\pi$
$294$	2.56325	−	3.05476i	0.149492	−	0.178157i
$295$	−3.70364	+	0.0374130i	−0.215634	+	0.00217827i
$296$	−3.53461	−	6.12213i	−0.205445	−	0.355841i
$297$	−1.99301	−	7.43802i	−0.115646	−	0.431598i
$298$	5.31348	+	2.47772i	0.307802	+	0.143530i
$299$	3.42297	+	19.4126i	0.197955	+	1.12266i
$300$	16.6172	−	8.16138i	0.959394	−	0.471198i
$301$	1.68098	+	0.611828i	0.0968903	+	0.0352652i
$302$	−0.381409	−	0.0333690i	−0.0219476	−	0.00192017i
$303$	−14.7022	−	14.7022i	−0.844617	−	0.844617i
$304$	−4.60407	+	14.4187i	−0.264061	+	0.826969i
$305$	−15.6208	+	13.3786i	−0.894442	+	0.766055i
$306$	−0.397504	−	0.473727i	−0.0227238	−	0.0270812i
$307$	14.9650	−	6.97832i	0.854100	−	0.398273i	0.0542891	−	0.998525i	$-0.482711\pi$
$307$	14.9650	−	6.97832i	0.854100	−	0.398273i	0.799811	+	0.600252i	$0.204933\pi$
$308$	−0.649385	−	0.927419i	−0.0370022	−	0.0528446i
$309$	20.4807	−	3.61131i	1.16511	−	0.205440i
$310$	1.34439	−	0.374823i	0.0763562	−	0.0212885i
$311$	2.66572	−	4.61716i	0.151159	−	0.261815i	−0.780495	−	0.625162i	$-0.785033\pi$
$311$	2.66572	−	4.61716i	0.151159	−	0.261815i	0.931654	+	0.363347i	$0.118366\pi$
$312$	−5.01184	−	1.34292i	−0.283740	−	0.0760278i
$313$	19.5807	−	1.71309i	1.10677	−	0.0968296i	0.480912	−	0.876769i	$-0.340306\pi$
$313$	19.5807	−	1.71309i	1.10677	−	0.0968296i	0.625855	+	0.779939i	$0.284750\pi$
$314$	−3.72434	−	3.12509i	−0.210177	−	0.176359i
$315$	−0.509788	+	0.244017i	−0.0287233	+	0.0137488i
$316$	24.7696	+	14.3007i	1.39340	+	0.804479i
$317$	7.71815	−	16.5516i	0.433495	−	0.929632i	−0.561289	−	0.827620i	$-0.689694\pi$
$317$	7.71815	−	16.5516i	0.433495	−	0.929632i	0.994783	−	0.102012i	$-0.0325280\pi$
$318$	−0.707274	+	1.01009i	−0.0396619	+	0.0566431i
$319$	1.88783	−	10.7064i	0.105698	−	0.599443i
$320$	−4.66610	−	12.4279i	−0.260843	−	0.694743i
$321$	−3.26947	+	2.74342i	−0.182484	+	0.153122i
$322$	−0.608255	+	0.608255i	−0.0338967	+	0.0338967i
$323$	0.564733	−	11.9356i	0.0314226	−	0.664115i
$324$			20.4356i			1.13531i
$325$	−2.74150	+	11.1258i	−0.152071	+	0.617148i
$326$	−1.04159	+	2.86174i	−0.0576881	+	0.158497i
$327$	−13.8280	+	9.68250i	−0.764692	+	0.535443i
$328$	−5.82858	−	4.08121i	−0.321829	−	0.225347i
$329$	−0.661285	−	1.81687i	−0.0364578	−	0.100167i
$330$	0.420692	+	2.25257i	0.0231584	+	0.124000i
$331$	−10.5135	+	6.06999i	−0.577875	+	0.333637i	−0.760289	−	0.649585i	$-0.774942\pi$
$331$	−10.5135	+	6.06999i	−0.577875	+	0.333637i	0.182413	+	0.983222i	$0.441609\pi$
$332$	0.553310	+	6.32436i	0.0303668	+	0.347094i
$333$	0.398182	+	4.55124i	0.0218202	+	0.249406i
$334$	0.673729	−	0.388978i	0.0368648	−	0.0212839i
$335$	20.2692	+	13.8896i	1.10742	+	0.758872i
$336$	0.770369	+	2.11657i	0.0420271	+	0.115468i
$337$	17.0464	+	11.9360i	0.928575	+	0.650195i	0.936835	−	0.349771i	$-0.113741\pi$
$337$	17.0464	+	11.9360i	0.928575	+	0.650195i	−0.00826058	+	0.999966i	$0.502629\pi$
$338$	−1.89618	+	1.32772i	−0.103139	+	0.0722185i
$339$	7.77992	−	21.3752i	0.422547	−	1.16094i
$340$	6.81445	+	9.52577i	0.369565	+	0.516608i
$341$		−	3.69808i		−	0.200262i
$342$	−0.666964	+	0.722556i	−0.0360653	+	0.0390713i
$343$	3.28722	−	3.28722i	0.177493	−	0.177493i
$344$	−4.78310	+	4.01350i	−0.257888	+	0.216393i
$345$	−34.8924	+	13.1004i	−1.87854	+	0.705304i
$346$	0.949961	−	5.38750i	0.0510702	−	0.289634i
$347$	5.18176	−	7.40032i	0.278171	−	0.397270i	−0.655618	−	0.755093i	$-0.727592\pi$
$347$	5.18176	−	7.40032i	0.278171	−	0.397270i	0.933790	+	0.357823i	$0.116481\pi$
$348$	−9.61055	+	20.6099i	−0.515180	+	1.10481i
$349$	−1.17548	−	0.678665i	−0.0629221	−	0.0363281i	0.468209	−	0.883618i	$-0.344899\pi$
$349$	−1.17548	−	0.678665i	−0.0629221	−	0.0363281i	−0.531131	+	0.847290i	$0.678233\pi$
$350$	−0.466327	+	0.180479i	−0.0249262	+	0.00964699i
$351$	−7.63703	−	6.40823i	−0.407634	−	0.342046i
$352$	5.94999	−	0.520556i	0.317135	−	0.0277457i
$353$	24.2894	+	6.50831i	1.29279	+	0.346403i	0.838720	−	0.544563i	$-0.183304\pi$
$353$	24.2894	+	6.50831i	1.29279	+	0.346403i	0.454072	+	0.890965i	$0.349971\pi$
$354$	−0.479479	+	0.830482i	−0.0254840	+	0.0441396i
$355$	30.3996	+	17.1442i	1.61344	+	0.909917i
$356$	−19.5320	+	3.44402i	−1.03519	+	0.182533i
$357$	−1.01991	−	1.45658i	−0.0539791	−	0.0770902i
$358$	2.10353	−	0.980892i	0.111175	−	0.0518417i
$359$	−1.32860	−	1.58336i	−0.0701208	−	0.0835667i	0.729844	−	0.683614i	$-0.239593\pi$
$359$	−1.32860	−	1.58336i	−0.0701208	−	0.0835667i	−0.799964	+	0.600047i	$0.795148\pi$
$360$	0.152074	−	1.96684i	0.00801499	−	0.103662i
$361$	−18.9393	+	1.51788i	−0.996804	+	0.0798883i
$362$	4.04527	+	4.04527i	0.212615	+	0.212615i
$363$	−15.1860	−	1.32861i	−0.797060	−	0.0697337i
$364$	−1.37738	−	0.501325i	−0.0721943	−	0.0262766i
$365$	11.9809	+	3.08092i	0.627111	+	0.161262i
$366$	0.924669	+	5.24406i	0.0483332	+	0.274111i
$367$	6.43114	+	2.99889i	0.335703	+	0.156541i	0.583158	−	0.812358i	$-0.301817\pi$
$367$	6.43114	+	2.99889i	0.335703	+	0.156541i	−0.247456	+	0.968899i	$0.579594\pi$
$368$	7.73037	+	28.8501i	0.402973	+	1.50392i
$369$	2.29923	+	3.98238i	0.119693	+	0.207314i
$370$	0.0408291	+	4.04180i	0.00212260	+	0.210123i
$371$	−0.458284	+	0.546162i	−0.0237929	+	0.0283553i
$372$	−2.00208	+	7.47185i	−0.103803	+	0.387397i
$373$	−23.0637	+	6.17989i	−1.19419	+	0.319983i	−0.800541	−	0.599277i	$-0.795455\pi$
$373$	−23.0637	+	6.17989i	−1.19419	+	0.319983i	−0.393650	+	0.919260i	$0.628788\pi$
$374$	−1.36228	+	0.495830i	−0.0704419	+	0.0256388i
$375$	−21.6302	−	1.23344i	−1.11698	−	0.0636946i
$376$	6.64609	+	1.17188i	0.342746	+	0.0604353i
$377$	−5.94835	−	12.7563i	−0.306356	−	0.656982i
$378$	0.0379170	−	0.433394i	0.00195024	−	0.0222914i
$379$	−16.2074			−0.832518			−0.416259	−	0.909246i	$-0.636659\pi$
$379$	−16.2074			−0.832518			−0.416259	+	0.909246i	$0.636659\pi$
$380$	13.6493	−	12.6703i	0.700193	−	0.649972i
$381$	−12.9744			−0.664697
$382$	0.412481	−	4.71468i	0.0211044	−	0.241224i
$383$	−2.65826	−	5.70067i	−0.135831	−	0.291290i	0.826613	−	0.562771i	$-0.190265\pi$
$383$	−2.65826	−	5.70067i	−0.135831	−	0.291290i	−0.962444	+	0.271480i	$0.912487\pi$
$384$	−16.2631	−	2.86763i	−0.829924	−	0.146338i
$385$	0.128802	+	1.31866i	0.00656437	+	0.0672051i
$386$	−7.61801	+	2.77273i	−0.387746	+	0.141128i
$387$	3.89774	−	1.04440i	0.198133	−	0.0530897i
$388$	−2.96647	+	11.0710i	−0.150600	+	0.562045i
$389$	13.5012	−	16.0901i	0.684537	−	0.815799i	−0.306147	−	0.951984i	$-0.599040\pi$
$389$	13.5012	−	16.0901i	0.684537	−	0.815799i	0.990683	+	0.136185i	$0.0434843\pi$
$390$	2.11888	+	2.07650i	0.107294	+	0.105148i
$391$	−11.7895	−	20.4200i	−0.596221	−	1.03268i
$392$	2.08290	+	7.77350i	0.105202	+	0.392621i
$393$	−12.9063	−	6.01830i	−0.651036	−	0.303583i
$394$	0.750336	+	4.25537i	0.0378014	+	0.214382i
$395$	−17.0275	−	28.8164i	−0.856749	−	1.44991i
$396$	−2.39988	−	0.873483i	−0.120598	−	0.0438942i
$397$	2.77437	+	0.242726i	0.139242	+	0.0121821i	0.156563	−	0.987668i	$-0.449958\pi$
$397$	2.77437	+	0.242726i	0.139242	+	0.0121821i	−0.0173218	+	0.999850i	$0.505514\pi$
$398$	0.673552	+	0.673552i	0.0337621	+	0.0337621i
$399$	−2.09155	+	1.90257i	−0.104709	+	0.0952476i
$400$	−2.66887	+	17.1557i	−0.133444	+	0.857787i
$401$	14.4597	+	17.2324i	0.722083	+	0.860545i	0.994831	−	0.101541i	$-0.0323772\pi$
$401$	14.4597	+	17.2324i	0.722083	+	0.860545i	−0.272749	+	0.962085i	$0.587933\pi$
$402$	5.76577	−	2.68862i	0.287570	−	0.134096i
$403$	−2.74615	−	3.92191i	−0.136795	−	0.195364i
$404$	20.1902	−	3.56007i	1.00450	−	0.177120i
$405$	11.7477	−	20.8307i	0.583747	−	1.03509i
$406$	0.307105	−	0.531921i	0.0152414	−	0.0263988i
$407$	10.3452	+	2.77197i	0.512790	+	0.137402i
$408$	6.18288	−	0.540932i	0.306098	−	0.0267801i
$409$	18.6505	+	15.6496i	0.922209	+	0.773825i	0.974402	−	0.224812i	$-0.0721768\pi$
$409$	18.6505	+	15.6496i	0.922209	+	0.773825i	−0.0521935	+	0.998637i	$0.516621\pi$
$410$	1.75654	+	3.66967i	0.0867493	+	0.181232i
$411$	8.83014	+	5.09808i	0.435559	+	0.251470i
$412$	−8.66631	+	18.5850i	−0.426959	+	0.915616i
$413$	−0.318026	+	0.454188i	−0.0156490	+	0.0223491i
$414$	−0.336948	+	1.91092i	−0.0165601	+	0.0939168i
$415$	3.07164	−	6.76472i	0.150781	−	0.332067i
$416$	5.92355	−	4.97045i	0.290426	−	0.243696i
$417$	−25.4602	+	25.4602i	−1.24679	+	1.24679i
$418$	1.05695	+	2.04859i	0.0516971	+	0.100200i
$419$		−	3.10801i		−	0.151836i	−0.997114	−	0.0759182i	$-0.975811\pi$
$419$		−	3.10801i		−	0.151836i	0.997114	−	0.0759182i	$-0.0241888\pi$
$420$	0.453658	−	2.73404i	0.0221362	−	0.133407i
$421$	−7.35818	+	20.2164i	−0.358616	+	0.985289i	0.620894	+	0.783894i	$0.286770\pi$
$421$	−7.35818	+	20.2164i	−0.358616	+	0.985289i	−0.979510	+	0.201395i	$0.935453\pi$
$422$	0.137066	−	0.0959748i	0.00667228	−	0.00467198i
$423$	−3.57267	−	2.50161i	−0.173709	−	0.121632i
$424$	−0.851132	−	2.33847i	−0.0413346	−	0.113566i
$425$	−1.47018	−	13.6273i	−0.0713143	−	0.661023i
$426$	7.82552	−	4.51807i	0.379148	−	0.218901i
$427$	0.268339	+	3.06713i	0.0129858	+	0.148429i
$428$	−0.366785	−	4.19238i	−0.0177292	−	0.202646i
$429$	6.80778	−	3.93047i	0.328683	−	0.189765i
$430$	3.50943	−	0.655426i	0.169240	−	0.0316074i
$431$	−6.33738	−	17.4118i	−0.305261	−	0.838698i	−0.993564	−	0.113274i	$-0.963866\pi$
$431$	−6.33738	−	17.4118i	−0.305261	−	0.838698i	0.688303	−	0.725424i	$-0.258356\pi$
$432$	−12.3739	−	8.66429i	−0.595339	−	0.416861i
$433$	−7.50983	+	5.25844i	−0.360899	+	0.252704i	−0.739936	−	0.672677i	$-0.765144\pi$
$433$	−7.50983	+	5.25844i	−0.360899	+	0.252704i	0.379037	+	0.925382i	$0.376255\pi$
$434$	0.0714583	−	0.196330i	0.00343011	−	0.00942414i
$435$	21.6442	−	15.4836i	1.03776	−	0.742383i
$436$		−	16.6452i		−	0.797159i
$437$	−29.8281	+	22.7156i	−1.42687	+	1.08663i
$438$	2.26479	−	2.26479i	0.108216	−	0.108216i
$439$	13.5592	−	11.3775i	0.647147	−	0.543021i	−0.259057	−	0.965862i	$-0.583412\pi$
$439$	13.5592	−	11.3775i	0.647147	−	0.543021i	0.906204	+	0.422841i	$0.138967\pi$
$440$	−4.21082	−	1.91199i	−0.200743	−	0.0911507i
$441$	0.903144	−	5.12198i	0.0430068	−	0.243904i
$442$	−1.07654	+	1.53745i	−0.0512057	+	0.0731293i
$443$	−2.01194	+	4.31463i	−0.0955903	+	0.204994i	−0.948288	−	0.317410i	$-0.897187\pi$
$443$	−2.01194	+	4.31463i	−0.0955903	+	0.204994i	0.852698	+	0.522404i	$0.174965\pi$
$444$	−19.4013	−	11.2014i	−0.920747	−	0.531593i
$445$	21.8895	+	7.71762i	1.03766	+	0.365850i
$446$	−5.15195	−	4.32300i	−0.243952	−	0.204700i
$447$	37.8821	−	3.31426i	1.79176	−	0.156759i
$448$	−1.91955	−	0.514341i	−0.0906901	−	0.0243003i
$449$	−1.65599	+	2.86825i	−0.0781508	+	0.135361i	−0.902452	−	0.430790i	$-0.858235\pi$
$449$	−1.65599	+	2.86825i	−0.0781508	+	0.135361i	0.824301	+	0.566151i	$0.191568\pi$
$450$	−0.628169	+	0.936844i	−0.0296122	+	0.0441633i
$451$	10.6162	−	1.87193i	0.499899	−	0.0881458i
$452$	12.8649	+	18.3730i	0.605115	+	0.864193i
$453$	−2.25065	+	1.04950i	−0.105745	+	0.0493097i
$454$	3.12529	+	3.72457i	0.146677	+	0.174803i
$455$	1.11582	+	1.30282i	0.0523103	+	0.0610773i
$456$	−2.10088	−	9.64271i	−0.0983826	−	0.451561i
$457$	20.2603	+	20.2603i	0.947736	+	0.947736i	0.998700	−	0.0509647i	$-0.0162296\pi$
$457$	20.2603	+	20.2603i	0.947736	+	0.947736i	−0.0509647	+	0.998700i	$0.516230\pi$
$458$	3.42513	+	0.299660i	0.160046	+	0.0140022i
$459$	11.2060	+	4.07864i	0.523049	+	0.190374i
$460$	9.15258	−	35.5922i	0.426741	−	1.65949i
$461$	2.78058	+	15.7694i	0.129504	+	0.734455i	0.978530	+	0.206104i	$0.0660785\pi$
$461$	2.78058	+	15.7694i	0.129504	+	0.734455i	−0.849026	+	0.528351i	$0.822810\pi$
$462$	0.310898	+	0.144974i	0.0144643	+	0.00674481i
$463$	−7.32218	−	27.3267i	−0.340291	−	1.26998i	−0.898018	−	0.439958i	$-0.854993\pi$
$463$	−7.32218	−	27.3267i	−0.340291	−	1.26998i	0.557728	−	0.830024i	$-0.311673\pi$
$464$	−10.6633	−	18.4693i	−0.495029	−	0.857416i
$465$	6.33608	−	6.46540i	0.293829	−	0.299826i
$466$	−3.38018	+	4.02835i	−0.156584	+	0.186610i
$467$	0.398965	−	1.48896i	0.0184619	−	0.0689007i	−0.956080	−	0.293105i	$-0.905312\pi$
$467$	0.398965	−	1.48896i	0.0184619	−	0.0689007i	0.974542	+	0.224204i	$0.0719782\pi$
$468$	−3.19377	+	0.855767i	−0.147632	+	0.0395579i
$469$	3.45652	−	1.25807i	0.159607	−	0.0580923i
$470$	−2.98083	−	2.45034i	−0.137496	−	0.113026i
$471$	−31.0551	−	5.47586i	−1.43094	−	0.252314i
$472$	−0.817894	−	1.75398i	−0.0376466	−	0.0807335i
$473$	0.824466	−	9.42369i	0.0379090	−	0.433302i
$474$	−8.66602			−0.398044
$475$	−21.1969	+	5.06881i	−0.972579	+	0.232573i
$476$	1.75332			0.0803632
$477$	−0.140170	+	1.60215i	−0.00641795	+	0.0733575i
$478$	−0.400840	−	0.859605i	−0.0183340	−	0.0393174i
$479$	−16.5181	−	2.91258i	−0.754730	−	0.133079i	−0.216971	−	0.976178i	$-0.569618\pi$
$479$	−16.5181	−	2.91258i	−0.754730	−	0.133079i	−0.537759	+	0.843099i	$0.680729\pi$
$480$	11.2943	+	9.28427i	0.515513	+	0.423767i
$481$	13.0297	−	4.74243i	0.594105	−	0.216236i
$482$	2.22430	−	0.595999i	0.101314	−	0.0271470i
$483$	−1.44405	+	5.38928i	−0.0657067	+	0.245221i
$484$	9.66184	−	11.5145i	0.439174	−	0.523388i
$485$	9.38814	−	9.57975i	0.426294	−	0.434994i
$486$	−1.14641	−	1.98563i	−0.0520020	−	0.0900702i
$487$	1.04175	+	3.88785i	0.0472060	+	0.176175i	0.985504	−	0.169653i	$-0.0542647\pi$
$487$	1.04175	+	3.88785i	0.0472060	+	0.176175i	−0.938298	+	0.345828i	$0.887598\pi$
$488$	−9.73959	−	4.54165i	−0.440891	−	0.205591i
$489$	3.43005	+	19.4528i	0.155112	+	0.879685i
$490$	1.14600	−	4.45650i	0.0517708	−	0.201324i
$491$	−10.9927	−	4.00100i	−0.496091	−	0.180563i	0.0818437	−	0.996645i	$-0.473919\pi$
$491$	−10.9927	−	4.00100i	−0.496091	−	0.180563i	−0.577935	+	0.816083i	$0.696141\pi$
$492$	−22.4632	−	1.96528i	−1.01272	−	0.0886015i
$493$	11.9049	+	11.9049i	0.536171	+	0.536171i
$494$	2.64218	+	1.38770i	0.118877	+	0.0624355i
$495$	1.94414	+	2.26997i	0.0873827	+	0.102028i
$496$	−4.66307	−	5.55723i	−0.209378	−	0.249527i
$497$	4.73511	−	2.20802i	0.212399	−	0.0990432i
$498$	−1.10330	−	1.57568i	−0.0494402	−	0.0706079i
$499$	25.5639	−	4.50760i	1.14440	−	0.201788i	0.430868	−	0.902415i	$-0.358208\pi$
$499$	25.5639	−	4.50760i	1.14440	−	0.201788i	0.713527	+	0.700627i	$0.247096\pi$
$500$	13.2296	−	16.7734i	0.591644	−	0.750128i
$501$	2.52296	−	4.36990i	0.112718	−	0.195233i
$502$	0.258533	+	0.0692736i	0.0115389	+	0.00309183i
$503$	−32.5020	+	2.84355i	−1.44919	+	0.126788i	−0.784406	−	0.620248i	$-0.787032\pi$
$503$	−32.5020	+	2.84355i	−1.44919	+	0.126788i	−0.664784	+	0.747035i	$0.731477\pi$
$504$	−0.226224	−	0.189824i	−0.0100768	−	0.00845545i
$505$	−22.6271	−	7.97769i	−1.00689	−	0.355002i
$506$	3.93940	+	2.27441i	0.175128	+	0.101110i
$507$	−6.34527	+	13.6075i	−0.281803	+	0.604329i
$508$	7.33786	−	10.4796i	0.325565	−	0.464955i
$509$	1.27621	−	7.23775i	0.0565671	−	0.320808i	−0.943373	−	0.331733i	$-0.892367\pi$
$509$	1.27621	−	7.23775i	0.0565671	−	0.320808i	0.999940	+	0.0109254i	$0.00347774\pi$
$510$	−3.23122	−	1.46719i	−0.143081	−	0.0649683i
$511$	1.41863	−	1.19037i	0.0627565	−	0.0526590i
$512$	14.0224	−	14.0224i	0.619710	−	0.619710i
$513$	4.17163	−	18.4975i	0.184182	−	0.816686i
$514$		−	0.643793i		−	0.0283965i
$515$	19.5177	−	13.9624i	0.860053	−	0.615255i
$516$	−6.76763	+	18.5939i	−0.297928	+	0.818551i
$517$	−8.37530	+	5.86445i	−0.368345	+	0.257918i
$518$	0.495658	+	0.347063i	0.0217780	+	0.0152491i
$519$	−12.1360	−	33.3433i	−0.532709	−	1.46361i
$520$	−5.88550	+	1.09918i	−0.258096	+	0.0482024i
$521$	−25.6025	+	14.7816i	−1.12166	+	0.647593i	−0.941825	−	0.336103i	$-0.890891\pi$
$521$	−25.6025	+	14.7816i	−1.12166	+	0.647593i	−0.179839	+	0.983696i	$0.557558\pi$
$522$	−0.120755	−	1.38023i	−0.00528529	−	0.0604112i
$523$	3.21555	+	36.7539i	0.140606	+	1.60714i	0.659100	+	0.752055i	$0.270937\pi$
$523$	3.21555	+	36.7539i	0.140606	+	1.60714i	−0.518494	+	0.855082i	$0.673507\pi$
$524$	12.1604	−	7.02082i	0.531230	−	0.306706i
$525$	−2.03413	+	2.52611i	−0.0887766	+	0.110248i
$526$	−3.01099	−	8.27262i	−0.131285	−	0.360703i
$527$	4.69127	+	3.28486i	0.204355	+	0.143091i
$528$	9.75687	−	6.83184i	0.424613	−	0.297318i
$529$	−17.4379	+	47.9102i	−0.758169	+	2.08305i
$530$	−0.232915	+	1.40370i	−0.0101172	+	0.0609727i
$531$			1.25073i			0.0542770i
$532$	−0.353818	−	2.76540i	−0.0153400	−	0.119895i
$533$	9.86873	−	9.86873i	0.427462	−	0.427462i
$534$	4.60342	−	3.86273i	0.199209	−	0.167157i
$535$	−2.03617	+	4.48429i	−0.0880312	+	0.193873i
$536$	−2.22947	+	12.6439i	−0.0962983	+	0.546135i
$537$	8.63476	−	12.3317i	0.372618	−	0.532153i
$538$	−0.792084	+	1.69863i	−0.0341492	+	0.0732332i
$539$	−10.5590	−	6.09627i	−0.454810	−	0.262585i
$540$	8.02473	+	16.7648i	0.345329	+	0.721444i
$541$	30.1856	+	25.3287i	1.29778	+	1.08897i	0.990524	+	0.137341i	$0.0438556\pi$
$541$	30.1856	+	25.3287i	1.29778	+	1.08897i	0.307257	+	0.951627i	$0.400589\pi$
$542$	−1.79274	+	0.156844i	−0.0770046	+	0.00673703i
$543$	35.8421	+	9.60385i	1.53813	+	0.412141i
$544$	−4.62478	+	8.01036i	−0.198286	+	0.343441i
$545$	−9.56870	+	16.9670i	−0.409878	+	0.726786i
$546$	0.437372	−	0.0771204i	0.0187178	−	0.00330045i
$547$	2.33181	+	3.33017i	0.0997010	+	0.142388i	0.865903	−	0.500212i	$-0.166745\pi$
$547$	2.33181	+	3.33017i	0.0997010	+	0.142388i	−0.766202	+	0.642600i	$0.777856\pi$
$548$	−9.11181	+	4.24891i	−0.389237	+	0.181504i
$549$	4.46423	+	5.32026i	0.190529	+	0.227063i
$550$	1.56011	+	2.13494i	0.0665233	+	0.0910341i
$551$	16.3745	−	21.1793i	0.697577	−	0.902269i
$552$	−13.7705	−	13.7705i	−0.586111	−	0.586111i
$553$	−4.99155	−	0.436704i	−0.212262	−	0.0185705i
$554$	−6.34589	−	2.30972i	−0.269611	−	0.0981304i
$555$	13.3372	+	22.5711i	0.566133	+	0.958088i
$556$	−6.16509	−	34.9640i	−0.261458	−	1.48280i
$557$	0.286800	+	0.133737i	0.0121521	+	0.00566663i	0.428685	−	0.903454i	$-0.358977\pi$
$557$	0.286800	+	0.133737i	0.0121521	+	0.00566663i	−0.416533	+	0.909121i	$0.636755\pi$
$558$	−0.121980	−	0.455236i	−0.00516383	−	0.0192717i
$559$	−6.12355	−	10.6063i	−0.258999	−	0.448599i
$560$	1.85631	+	1.81918i	0.0784434	+	0.0768744i
$561$	−6.04415	+	7.20314i	−0.255184	+	0.304117i
$562$	−0.931407	+	3.47606i	−0.0392890	+	0.146629i
$563$	−45.1444	+	12.0964i	−1.90261	+	0.509803i	−0.906442	+	0.422330i	$0.861212\pi$
$563$	−45.1444	+	12.0964i	−1.90261	+	0.509803i	−0.996167	+	0.0874723i	$0.972121\pi$
$564$	20.0969	−	7.31468i	0.846233	−	0.308004i
$565$	−2.55169	−	26.1238i	−0.107350	−	1.09904i
$566$	3.43098	+	0.604975i	0.144215	+	0.0254290i
$567$	−1.51300	−	3.24463i	−0.0635399	−	0.136262i
$568$	−1.58938	+	18.1667i	−0.0666889	+	0.762258i
$569$	25.5911			1.07283			0.536417	−	0.843953i	$-0.319777\pi$
$569$	25.5911			1.07283			0.536417	+	0.843953i	$0.319777\pi$
$570$	−1.66205	+	5.39248i	−0.0696157	+	0.225866i
$571$	−2.95798			−0.123788			−0.0618938	−	0.998083i	$-0.519714\pi$
$571$	−2.95798			−0.123788			−0.0618938	+	0.998083i	$0.519714\pi$
$572$	−0.675558	+	7.72167i	−0.0282465	+	0.322859i
$573$	−12.9731	−	27.8208i	−0.541958	−	1.16223i
$574$	0.599785	+	0.105758i	0.0250345	+	0.00441426i
$575$	−29.7902	+	31.0189i	−1.24234	+	1.29358i
$576$	−4.21243	+	1.53320i	−0.175518	+	0.0638833i
$577$	7.11374	−	1.90612i	0.296149	−	0.0793528i	−0.107685	−	0.994185i	$-0.534344\pi$
$577$	7.11374	−	1.90612i	0.296149	−	0.0793528i	0.403834	+	0.914832i	$0.367677\pi$
$578$	−0.733456	+	2.73730i	−0.0305078	+	0.113857i
$579$	−33.7994	+	40.2806i	−1.40466	+	1.67400i
$580$	0.265062	+	26.2393i	0.0110061	+	1.08953i
$581$	−0.556090	−	0.963176i	−0.0230705	−	0.0399593i
$582$	−0.898816	−	3.35443i	−0.0372571	−	0.139046i
$583$	3.41698	+	1.59336i	0.141517	+	0.0659904i
$584$	1.12244	+	6.36567i	0.0464469	+	0.263413i
$585$	3.74747	+	0.963667i	0.154939	+	0.0398427i
$586$	−3.53536	−	1.28677i	−0.146045	−	0.0531559i
$587$	2.91690	+	0.255196i	0.120394	+	0.0105331i	0.147193	−	0.989108i	$-0.452976\pi$
$587$	2.91690	+	0.255196i	0.120394	+	0.0105331i	−0.0267997	+	0.999641i	$0.508532\pi$
$588$	18.0338	+	18.0338i	0.743701	+	0.743701i
$589$	4.23432	−	8.06213i	0.174472	−	0.332194i
$590$	−0.0853031	+	1.10327i	−0.00351187	+	0.0454208i
$591$	18.0152	+	21.4697i	0.741047	+	0.883146i
$592$	19.0413	−	8.87911i	0.782593	−	0.364929i
$593$	−1.98588	−	2.83613i	−0.0815502	−	0.116466i	0.776304	−	0.630358i	$-0.217092\pi$
$593$	−1.98588	−	2.83613i	−0.0815502	−	0.116466i	−0.857855	+	0.513892i	$0.828203\pi$
$594$	−2.26563	+	0.399491i	−0.0929599	+	0.0163913i
$595$	−1.78722	−	1.00792i	−0.0732688	−	0.0413207i
$596$	−18.7479	+	32.4723i	−0.767943	+	1.33012i
$597$	5.96783	+	1.59908i	0.244247	+	0.0654458i
$598$	5.86679	−	0.513277i	0.239911	−	0.0209895i
$599$	12.9017	+	10.8258i	0.527151	+	0.442332i	0.867116	−	0.498106i	$-0.165971\pi$
$599$	12.9017	+	10.8258i	0.527151	+	0.442332i	−0.339965	+	0.940438i	$0.610415\pi$
$600$	−4.08592	−	10.5573i	−0.166807	−	0.431001i
$601$	3.51772	+	2.03096i	0.143491	+	0.0828445i	0.570027	−	0.821626i	$-0.306933\pi$
$601$	3.51772	+	2.03096i	0.143491	+	0.0828445i	−0.426536	+	0.904471i	$0.640266\pi$
$602$	0.225865	−	0.484370i	0.00920559	−	0.0197414i
$603$	4.75922	−	6.79688i	0.193811	−	0.276790i
$604$	0.425202	−	2.41144i	0.0173012	−	0.0981201i
$605$	−16.4679	+	6.18292i	−0.669517	+	0.251372i
$606$	−4.75854	+	3.99289i	−0.193303	+	0.162200i
$607$	−24.9122	+	24.9122i	−1.01116	+	1.01116i	−0.0112183	+	0.999937i	$0.503571\pi$
$607$	−24.9122	+	24.9122i	−1.01116	+	1.01116i	−0.999937	+	0.0112183i	$0.996429\pi$
$608$	13.5675	+	5.67790i	0.550236	+	0.230269i
$609$		−	3.98385i		−	0.161434i
$610$	3.57504	+	4.99747i	0.144749	+	0.202342i
$611$	−4.52735	+	12.4388i	−0.183157	+	0.503220i
$612$	3.23979	−	2.26853i	0.130961	−	0.0916997i
$613$	−7.41240	−	5.19022i	−0.299384	−	0.209631i	0.414226	−	0.910174i	$-0.364052\pi$
$613$	−7.41240	−	5.19022i	−0.299384	−	0.209631i	−0.713610	+	0.700543i	$0.752941\pi$
$614$	−1.68724	−	4.63566i	−0.0680916	−	0.187080i
$615$	21.7678	+	14.9166i	0.877761	+	0.601493i
$616$	−0.599546	+	0.346148i	−0.0241564	+	0.0139467i
$617$	−3.68535	−	42.1238i	−0.148367	−	1.69584i	−0.597094	−	0.802171i	$-0.703678\pi$
$617$	−3.68535	−	42.1238i	−0.148367	−	1.69584i	0.448727	−	0.893669i	$-0.351878\pi$
$618$	−0.541519	−	6.18959i	−0.0217831	−	0.248982i
$619$	−15.6339	+	9.02621i	−0.628378	+	0.362794i	−0.780124	−	0.625625i	$-0.784844\pi$
$619$	−15.6339	+	9.02621i	−0.628378	+	0.362794i	0.151746	+	0.988420i	$0.451511\pi$
$620$	1.63871	+	8.77434i	0.0658121	+	0.352386i
$621$	−12.7977	−	35.1615i	−0.513555	−	1.41098i
$622$	−1.30476	−	0.913606i	−0.0523163	−	0.0366323i
$623$	2.84618	−	1.99292i	0.114030	−	0.0798446i
$624$	5.27417	−	14.4907i	0.211136	−	0.580091i
$625$	−23.1277	+	9.49248i	−0.925110	+	0.379699i
$626$		−	5.87229i		−	0.234704i
$627$	12.5808	+	8.07948i	0.502427	+	0.322663i
$628$	21.9866	−	21.9866i	0.877363	−	0.877363i
$629$	−12.7056	+	10.6613i	−0.506607	+	0.425094i
$630$	0.0593511	+	0.158079i	0.00236461	+	0.00629802i
$631$	−2.44081	+	13.8425i	−0.0971672	+	0.551062i	0.896895	+	0.442244i	$0.145818\pi$
$631$	−2.44081	+	13.8425i	−0.0971672	+	0.551062i	−0.994062	+	0.108818i	$0.965293\pi$
$632$	10.0314	−	14.3263i	0.399026	−	0.569869i
$633$	0.458670	−	0.983622i	0.0182305	−	0.0390954i
$634$	−4.72519	−	2.72809i	−0.187661	−	0.108346i
$635$	−13.5041	+	6.46391i	−0.535892	+	0.256512i
$636$	−6.04127	−	5.06923i	−0.239552	−	0.201008i
$637$	−15.7252	+	1.37577i	−0.623053	+	0.0545101i
$638$	−3.13732	−	0.840643i	−0.124208	−	0.0332814i
$639$	5.89272	−	10.2065i	0.233112	−	0.403763i
$640$	−18.3558	+	5.11769i	−0.725575	+	0.202294i
$641$	23.1158	−	4.07593i	0.913018	−	0.160990i	0.302645	−	0.953103i	$-0.402130\pi$
$641$	23.1158	−	4.07593i	0.913018	−	0.160990i	0.610374	+	0.792114i	$0.291019\pi$
$642$	0.731373	+	1.04451i	0.0288650	+	0.0412235i
$643$	10.0294	−	4.67679i	0.395521	−	0.184435i	−0.214674	−	0.976686i	$-0.568869\pi$
$643$	10.0294	−	4.67679i	0.395521	−	0.184435i	0.610195	+	0.792251i	$0.291091\pi$
$644$	−3.53628	−	4.21437i	−0.139349	−	0.166070i
$645$	17.5874	−	15.0630i	0.692505	−	0.593103i
$646$	−3.53762	−	0.478866i	−0.139186	−	0.0188407i
$647$	−10.3878	−	10.3878i	−0.408386	−	0.408386i	0.472790	−	0.881175i	$-0.343247\pi$
$647$	−10.3878	−	10.3878i	−0.408386	−	0.408386i	−0.881175	+	0.472790i	$0.843247\pi$
$648$	12.4484	+	1.08909i	0.489018	+	0.0427835i
$649$	2.75522	+	1.00282i	0.108152	+	0.0393640i
$650$	3.23992	+	1.10564i	0.127080	+	0.0433667i
$651$	−0.235319	−	1.33456i	−0.00922289	−	0.0523056i
$652$	−17.6522	−	8.23134i	−0.691312	−	0.322364i
$653$	5.29859	+	19.7746i	0.207350	+	0.773841i	0.988720	+	0.149773i	$0.0478543\pi$
$653$	5.29859	+	19.7746i	0.207350	+	0.773841i	−0.781370	+	0.624067i	$0.785479\pi$
$654$	2.52168	+	4.36767i	0.0986054	+	0.170790i
$655$	−16.4315	+	0.165986i	−0.642034	+	0.00648562i
$656$	13.5930	−	16.1995i	0.530717	−	0.632484i
$657$	1.08119	−	4.03507i	0.0421813	−	0.157423i
$658$	−0.557961	+	0.149505i	−0.0217516	+	0.00582832i
$659$	−1.78757	+	0.650624i	−0.0696340	+	0.0253447i	−0.376602	−	0.926375i	$-0.622908\pi$
$659$	−1.78757	+	0.650624i	−0.0696340	+	0.0253447i	0.306968	+	0.951720i	$0.400685\pi$
$660$	−14.5861	+	1.42472i	−0.567763	+	0.0554572i
$661$	14.1497	+	2.49497i	0.550360	+	0.0970433i	0.441911	−	0.897059i	$-0.354301\pi$
$661$	14.1497	+	2.49497i	0.550360	+	0.0970433i	0.108448	+	0.994102i	$0.465412\pi$
$662$	1.53281	+	3.28713i	0.0595745	+	0.127758i
$663$	−1.06101	+	12.1274i	−0.0412063	+	0.470990i
$664$	3.88198			0.150650
$665$	−1.22907	+	3.02227i	−0.0476613	+	0.117198i
$666$	1.36493			0.0528898
$667$	4.60422	−	52.6264i	0.178276	−	2.03770i
$668$	2.10272	+	4.50930i	0.0813566	+	0.174470i
$669$	−42.9591	−	7.57485i	−1.66090	−	0.292861i
$670$	4.66167	−	5.67093i	0.180096	−	0.219087i
$671$	15.2993	−	5.56850i	0.590624	−	0.214969i
$672$	2.11410	−	0.566473i	0.0815534	−	0.0218522i
$673$	3.54401	−	13.2264i	0.136612	−	0.509842i	−0.863374	−	0.504564i	$-0.831653\pi$
$673$	3.54401	−	13.2264i	0.136612	−	0.509842i	0.999986	−	0.00527799i	$-0.00168004\pi$
$674$	3.99630	−	4.76261i	0.153932	−	0.183449i
$675$	1.45761	−	21.7021i	0.0561035	−	0.835315i
$676$	−7.40225	−	12.8211i	−0.284702	−	0.493118i
$677$	−8.24603	−	30.7746i	−0.316921	−	1.18276i	−0.922188	−	0.386742i	$-0.873600\pi$
$677$	−8.24603	−	30.7746i	−0.316921	−	1.18276i	0.605267	−	0.796023i	$-0.293066\pi$
$678$	−6.15918	−	2.87207i	−0.236542	−	0.110301i
$679$	−0.348672	−	1.97741i	−0.0133808	−	0.0758862i
$680$	6.16580	−	3.64336i	0.236448	−	0.139717i
$681$	29.6343	+	10.7860i	1.13559	+	0.413320i
$682$	−1.10064	−	0.0962933i	−0.0421456	−	0.00368726i
$683$	1.98056	+	1.98056i	0.0757839	+	0.0757839i	0.743983	−	0.668199i	$-0.232934\pi$
$683$	1.98056	+	1.98056i	0.0757839	+	0.0757839i	−0.668199	+	0.743983i	$0.732934\pi$
$684$	−4.23179	−	4.65213i	−0.161807	−	0.177879i
$685$	11.7305	+	0.906989i	0.448201	+	0.0346543i
$686$	−0.892759	−	1.06395i	−0.0340857	−	0.0406218i
$687$	20.2113	−	9.42469i	0.771110	−	0.359574i
$688$	−10.6438	−	15.2009i	−0.405791	−	0.579529i
$689$	4.80701	−	0.847605i	0.183132	−	0.0322912i
$690$	2.99045	+	10.7259i	0.113844	+	0.408329i
$691$	9.82610	−	17.0193i	0.373802	−	0.647445i	−0.616345	−	0.787476i	$-0.711387\pi$
$691$	9.82610	−	17.0193i	0.373802	−	0.647445i	0.990147	+	0.140032i	$0.0447205\pi$
$692$	33.7954	+	9.05546i	1.28471	+	0.344237i
$693$	0.445708	−	0.0389944i	0.0169310	−	0.00148127i
$694$	−2.06759	−	1.73491i	−0.0784845	−	0.0658563i
$695$	−13.8152	+	39.1841i	−0.524041	+	1.48634i
$696$	12.0424	+	6.95265i	0.456464	+	0.263540i
$697$	−7.05533	+	15.1302i	−0.267240	+	0.573097i
$698$	−0.232595	+	0.332180i	−0.00880385	+	0.0125732i
$699$	−5.92283	+	33.5900i	−0.224022	+	1.27049i
$700$	−0.889934	−	3.07167i	−0.0336364	−	0.116098i
$701$	25.1461	−	21.1001i	0.949755	−	0.796939i	−0.0295010	−	0.999565i	$-0.509392\pi$
$701$	25.1461	−	21.1001i	0.949755	−	0.796939i	0.979256	+	0.202625i	$0.0649474\pi$
$702$	−2.10610	+	2.10610i	−0.0794896	+	0.0794896i
$703$	19.3794	+	17.8884i	0.730908	+	0.674673i
$704$			10.5088i			0.396066i
$705$	−24.6904	−	4.09688i	−0.929896	−	0.154297i
$706$	2.56949	−	7.05962i	0.0967042	−	0.265692i
$707$	−2.94209	+	2.06007i	−0.110649	+	0.0774770i
$708$	−5.02392	−	3.51779i	−0.188810	−	0.132206i
$709$	6.40035	+	17.5848i	0.240370	+	0.660412i	0.999950	+	0.00999760i	$0.00318239\pi$
$709$	6.40035	+	17.5848i	0.240370	+	0.660412i	−0.759580	+	0.650414i	$0.774595\pi$
$710$	5.89408	−	8.60124i	0.221201	−	0.322799i
$711$	−9.78844	+	5.65136i	−0.367095	+	0.211943i
$712$	1.05699	+	12.0815i	0.0396125	+	0.452772i
$713$	−1.56617	−	17.9015i	−0.0586537	−	0.670415i
$714$	−0.460069	+	0.265621i	−0.0172176	+	0.00994061i
$715$	5.12753	−	7.48261i	0.191759	−	0.279834i
$716$	5.07695	+	13.9488i	0.189735	+	0.521291i
$717$	−5.03934	−	3.52859i	−0.188198	−	0.131778i
$718$	−0.505842	+	0.354194i	−0.0188778	+	0.0132184i
$719$	−2.67044	+	7.33697i	−0.0995905	+	0.273623i	−0.979475	−	0.201564i	$-0.935397\pi$
$719$	−2.67044	+	7.33697i	−0.0995905	+	0.273623i	0.879885	+	0.475187i	$0.157620\pi$
$720$	5.78384	+	0.959710i	0.215551	+	0.0357663i
$721$		−	3.59244i		−	0.133789i
$722$	−0.0413976	+	5.67630i	−0.00154066	+	0.211250i
$723$	10.5614	−	10.5614i	0.392782	−	0.392782i
$724$	−28.0282	+	23.5185i	−1.04166	+	0.874057i
$725$	14.8139	−	26.8990i	0.550173	−	0.999006i
$726$	−0.790850	+	4.48513i	−0.0293512	+	0.166459i
$727$	−17.2015	+	24.5663i	−0.637970	+	0.911115i	−0.999777	−	0.0211378i	$-0.993271\pi$
$727$	−17.2015	+	24.5663i	−0.637970	+	0.911115i	0.361807	+	0.932253i	$0.382160\pi$
$728$	−0.378788	+	0.812315i	−0.0140388	+	0.0301064i
$729$	14.9076	+	8.60690i	0.552133	+	0.318774i
$730$	1.22892	−	3.48559i	0.0454845	−	0.129007i
$731$	11.2223	+	9.41660i	0.415070	+	0.348285i
$732$	−33.9265	+	2.96818i	−1.25396	+	0.109707i
$733$	18.2081	+	4.87884i	0.672531	+	0.180204i	0.578895	−	0.815402i	$-0.303484\pi$
$733$	18.2081	+	4.87884i	0.672531	+	0.180204i	0.0936365	+	0.995606i	$0.470151\pi$
$734$	1.06000	−	1.83597i	0.0391253	−	0.0677670i
$735$	−8.01550	−	28.7494i	−0.295656	−	1.06044i
$736$	28.5819	−	5.03976i	1.05354	−	0.185768i
$737$	−11.1569	−	15.9337i	−0.410970	−	0.586926i
$738$	1.24512	−	0.580609i	0.0458335	−	0.0213725i
$739$	−19.7272	−	23.5100i	−0.725678	−	0.864829i	0.269492	−	0.963003i	$-0.413144\pi$
$739$	−19.7272	−	23.5100i	−0.725678	−	0.864829i	−0.995169	+	0.0981738i	$0.968700\pi$
$740$	−25.7740	−	1.99281i	−0.947471	−	0.0732572i
$741$	19.3419	−	0.773834i	0.710544	−	0.0284275i
$742$	0.150618	+	0.150618i	0.00552935	+	0.00552935i
$743$	−13.6313	−	1.19259i	−0.500084	−	0.0437517i	−0.165676	−	0.986180i	$-0.552981\pi$
$743$	−13.6313	−	1.19259i	−0.500084	−	0.0437517i	−0.334408	+	0.942428i	$0.608536\pi$
$744$	4.44479	+	1.61777i	0.162954	+	0.0593103i
$745$	37.7775	−	22.3227i	1.38406	−	0.817839i
$746$	1.23874	+	7.02522i	0.0453533	+	0.257212i
$747$	−2.27375	−	1.06027i	−0.0831921	−	0.0387931i
$748$	−2.39969	−	8.95578i	−0.0877415	−	0.327456i
$749$	0.368629	+	0.638484i	0.0134694	+	0.0233297i
$750$	−0.930324	+	6.40554i	−0.0339706	+	0.233897i
$751$	−14.7692	+	17.6012i	−0.538934	+	0.642277i	−0.964948	−	0.262440i	$-0.915473\pi$
$751$	−14.7692	+	17.6012i	−0.538934	+	0.642277i	0.426014	+	0.904717i	$0.359917\pi$
$752$	−5.19111	+	19.3735i	−0.189300	+	0.706478i
$753$	1.67688	−	0.449318i	0.0611088	−	0.0163741i
$754$	−3.95146	+	1.43822i	−0.143904	+	0.0523767i
$755$	−1.81967	+	2.21363i	−0.0662247	+	0.0805624i
$756$	2.74011	+	0.483156i	0.0996569	+	0.0175722i
$757$	−1.39687	−	2.99560i	−0.0507702	−	0.108877i	0.879286	−	0.476294i	$-0.158020\pi$
$757$	−1.39687	−	2.99560i	−0.0507702	−	0.108877i	−0.930056	+	0.367417i	$0.880242\pi$
$758$	−0.422020	+	4.82371i	−0.0153284	+	0.175205i
$759$	29.5043			1.07094
$760$	−6.99070	−	8.98971i	−0.253579	−	0.326091i
$761$	−39.1861			−1.42050			−0.710248	−	0.703952i	$-0.751417\pi$
$761$	−39.1861			−1.42050			−0.710248	+	0.703952i	$0.751417\pi$
$762$	−0.337836	+	3.86148i	−0.0122385	+	0.139887i
$763$	1.23237	+	2.64282i	0.0446146	+	0.0956764i
$764$	29.8084	+	5.25602i	1.07843	+	0.190156i
$765$	−4.60652	+	0.449950i	−0.166549	+	0.0162680i
$766$	−1.76587	+	0.642725i	−0.0638036	+	0.0232226i
$767$	3.66666	−	0.982478i	0.132395	−	0.0354752i
$768$	4.67811	−	17.4590i	0.168807	−	0.629996i
$769$	22.2353	−	26.4990i	0.801825	−	0.955578i	−0.197871	−	0.980228i	$-0.563403\pi$
$769$	22.2353	−	26.4990i	0.801825	−	0.955578i	0.999696	+	0.0246499i	$0.00784711\pi$
$770$	0.395818	−	0.00399843i	0.0142643	−	0.000144093i
$771$	−2.08787	−	3.61629i	−0.0751927	−	0.130238i
$772$	−13.4193	−	50.0815i	−0.482972	−	1.80247i
$773$	15.1757	+	7.07654i	0.545832	+	0.254526i	0.675918	−	0.736977i	$-0.263748\pi$
$773$	15.1757	+	7.07654i	0.545832	+	0.254526i	−0.130086	+	0.991503i	$0.541525\pi$
$774$	−0.209345	−	1.18726i	−0.00752476	−	0.0426751i
$775$	3.37366	−	9.88602i	0.121185	−	0.355116i
$776$	6.58582	+	2.39704i	0.236417	+	0.0860488i
$777$	3.90974	+	0.342058i	0.140261	+	0.0122713i
$778$	−4.43724	−	4.43724i	−0.159083	−	0.159083i
$779$	25.2877	+	8.07467i	0.906026	+	0.289305i
$780$	−14.4109	+	12.3424i	−0.515995	+	0.441929i
$781$	−17.7591	−	21.1645i	−0.635470	−	0.757324i
$782$	−6.38447	+	2.97713i	−0.228308	+	0.106462i
$783$	15.3246	+	21.8858i	0.547656	+	0.782134i
$784$	−23.5545	+	4.15329i	−0.841232	+	0.148332i
$785$	−35.0511	+	9.77244i	−1.25103	+	0.348793i
$786$	−2.12725	+	3.68451i	−0.0758766	+	0.131422i
$787$	−44.4784	−	11.9180i	−1.58549	−	0.424830i	−0.644867	−	0.764295i	$-0.723087\pi$
$787$	−44.4784	−	11.9180i	−1.58549	−	0.424830i	−0.940619	+	0.339465i	$0.889754\pi$
$788$	−27.5301	+	2.40858i	−0.980721	+	0.0858019i
$789$	−43.7419	−	36.7038i	−1.55725	−	1.30669i
$790$	−9.01982	+	4.31746i	−0.320911	+	0.153608i
$791$	−3.40290	−	1.96467i	−0.120993	−	0.0698555i
$792$	−0.659982	+	1.41533i	−0.0234514	+	0.0502917i
$793$	12.0902	−	17.2666i	0.429336	−	0.613156i
$794$	0.144482	−	0.819399i	0.00512748	−	0.0290794i
$795$	3.24397	+	8.64015i	0.115052	+	0.306435i
$796$	−4.66680	+	3.91591i	−0.165410	+	0.138796i
$797$	14.9095	−	14.9095i	0.528121	−	0.528121i	−0.391891	−	0.920012i	$-0.628179\pi$
$797$	14.9095	−	14.9095i	0.528121	−	0.528121i	0.920012	+	0.391891i	$0.128179\pi$
$798$	0.511789	+	0.672036i	0.0181171	+	0.0237898i
$799$		−	15.8338i		−	0.560160i
$800$	16.3809	+	4.03641i	0.579152	+	0.142709i
$801$	2.68066	−	7.36505i	0.0947164	−	0.260231i
$802$	5.50528	−	3.85484i	0.194398	−	0.136119i
$803$	−8.02193	−	5.61702i	−0.283088	−	0.198220i
$804$	13.9159	+	38.2337i	0.490777	+	1.34840i
$805$	1.18196	+	6.32874i	0.0416587	+	0.223059i
$806$	−1.23876	+	0.715198i	−0.0436335	+	0.0251918i
$807$	1.05951	+	12.1103i	0.0372966	+	0.426302i
$808$	−1.09261	−	12.4886i	−0.0384379	−	0.439347i
$809$	0.0883067	−	0.0509839i	0.00310470	−	0.00179250i	−0.498447	−	0.866920i	$-0.666096\pi$
$809$	0.0883067	−	0.0509839i	0.00310470	−	0.00179250i	0.501552	+	0.865128i	$0.332763\pi$
$810$	−5.89382	−	4.03879i	−0.207088	−	0.141909i
$811$	13.8775	+	38.1282i	0.487306	+	1.33886i	0.903111	+	0.429407i	$0.141278\pi$
$811$	13.8775	+	38.1282i	0.487306	+	1.33886i	−0.415805	+	0.909454i	$0.636500\pi$
$812$	3.21780	+	2.25313i	0.112923	+	0.0790694i
$813$	−9.56143	+	6.69499i	−0.335334	+	0.234803i
$814$	1.09438	−	3.00679i	0.0383580	−	0.105388i
$815$	13.2616	+	18.5381i	0.464532	+	0.649360i
$816$			18.4457i			0.645730i
$817$	12.5876	−	19.6004i	0.440383	−	0.685733i
$818$	5.14334	−	5.14334i	0.179833	−	0.179833i
$819$	0.443728	−	0.372332i	0.0155051	−	0.0130103i
$820$	−24.3594	+	9.14579i	−0.850667	+	0.319385i
$821$	−1.91779	+	10.8763i	−0.0669314	+	0.379587i	0.932880	+	0.360186i	$0.117287\pi$
$821$	−1.91779	+	10.8763i	−0.0669314	+	0.379587i	−0.999812	+	0.0194006i	$0.993824\pi$
$822$	1.74724	−	2.49531i	0.0609419	−	0.0870340i
$823$	−19.5261	+	41.8739i	−0.680638	+	1.45963i	0.197047	+	0.980394i	$0.436865\pi$
$823$	−19.5261	+	41.8739i	−0.680638	+	1.45963i	−0.877685	+	0.479238i	$0.840913\pi$
$824$	10.8592	+	6.26956i	0.378298	+	0.218410i
$825$	15.6871	+	6.93275i	0.546156	+	0.241367i
$826$	0.126896	+	0.106479i	0.00441528	+	0.00370486i
$827$	−22.1806	+	1.94055i	−0.771295	+	0.0674796i	−0.466008	−	0.884781i	$-0.654308\pi$
$827$	−22.1806	+	1.94055i	−0.771295	+	0.0674796i	−0.305287	+	0.952260i	$0.598753\pi$
$828$	−11.9871	−	3.21194i	−0.416581	−	0.111622i
$829$	13.8403	−	23.9721i	0.480694	−	0.832587i	−0.519060	−	0.854738i	$-0.673718\pi$
$829$	13.8403	−	23.9721i	0.480694	−	0.832587i	0.999755	+	0.0221506i	$0.00705134\pi$
$830$	−1.93336	−	1.09034i	−0.0671079	−	0.0378461i
$831$	−43.1365	+	7.60613i	−1.49639	+	0.263854i
$832$	7.80373	+	11.1449i	0.270545	+	0.386379i
$833$	17.1127	−	7.97980i	0.592921	−	0.276484i
$834$	6.91462	+	8.24052i	0.239434	+	0.285346i
$835$	0.448855	−	5.80526i	0.0155333	−	0.200899i
$836$	−13.6411	+	5.59216i	−0.471789	+	0.193409i
$837$	6.42639	+	6.42639i	0.222128	+	0.222128i
$838$	−0.925019	−	0.0809287i	−0.0319543	−	0.00279564i
$839$	35.1412	+	12.7903i	1.21321	+	0.441572i	0.867815	−	0.496887i	$-0.165524\pi$
$839$	35.1412	+	12.7903i	1.21321	+	0.441572i	0.345393	+	0.938458i	$0.387746\pi$
$840$	−1.64126	−	0.422053i	−0.0566290	−	0.0145622i
$841$	1.51428	+	8.58788i	0.0522164	+	0.296134i
$842$	5.82530	+	2.71638i	0.200753	+	0.0936127i
$843$	6.04123	+	22.5462i	0.208071	+	0.776532i
$844$	0.535075	+	0.926777i	0.0184180	+	0.0319010i
$845$	0.175004	+	17.3243i	0.00602033	+	0.595973i
$846$	−0.837567	+	0.998173i	−0.0287961	+	0.0343179i
$847$	−0.681540	+	2.54354i	−0.0234180	+	0.0873972i
$848$	7.14395	−	1.91422i	0.245324	−	0.0657344i
$849$	21.2344	−	7.72868i	0.728762	−	0.265248i
$850$	−4.09410	+	0.0827231i	−0.140427	+	0.00283738i
$851$	51.2522	+	9.03714i	1.75690	+	0.309789i
$852$	24.4236	+	52.3766i	0.836739	+	1.79439i
$853$	−1.59947	+	18.2820i	−0.0547648	+	0.625964i	0.918369	+	0.395725i	$0.129507\pi$
$853$	−1.59947	+	18.2820i	−0.0547648	+	0.625964i	−0.973134	+	0.230240i	$0.926049\pi$
$854$	0.919837			0.0314762
$855$	1.63927	+	7.17479i	0.0560619	+	0.245373i
$856$	−2.57334			−0.0879549
$857$	−4.26732	+	48.7757i	−0.145769	+	1.66615i	0.473369	+	0.880864i	$0.343038\pi$
$857$	−4.26732	+	48.7757i	−0.145769	+	1.66615i	−0.619138	+	0.785283i	$0.712518\pi$
$858$	−0.992537	−	2.12850i	−0.0338846	−	0.0726659i
$859$	−2.01743	−	0.355727i	−0.0688338	−	0.0121373i	0.139125	−	0.990275i	$-0.455571\pi$
$859$	−2.01743	−	0.355727i	−0.0688338	−	0.0121373i	−0.207959	+	0.978138i	$0.566682\pi$
$860$	2.21967	+	22.7247i	0.0756902	+	0.774905i
$861$	3.71207	−	1.35108i	0.126507	−	0.0460448i
$862$	−5.34719	+	1.43278i	−0.182126	+	0.0488005i
$863$	8.94309	−	33.3761i	0.304426	−	1.13613i	−0.629012	−	0.777396i	$-0.716540\pi$
$863$	8.94309	−	33.3761i	0.304426	−	1.13613i	0.933438	−	0.358738i	$-0.116793\pi$
$864$	−9.43506	+	11.2443i	−0.320987	+	0.382538i
$865$	−29.2432	−	28.6583i	−0.994299	−	0.974412i
$866$	1.36949	+	2.37203i	0.0465372	+	0.0806048i
$867$	4.75730	+	17.7545i	0.161566	+	0.602974i
$868$	1.21103	+	0.564713i	0.0411051	+	0.0191676i
$869$	4.60109	+	26.0941i	0.156081	+	0.885181i
$870$	−4.04471	−	6.84502i	−0.137128	−	0.232068i
$871$	−23.6644	−	8.61312i	−0.801836	−	0.291844i
$872$	−10.1394	−	0.887084i	−0.343364	−	0.0300405i
$873$	−3.20275	−	3.20275i	−0.108397	−	0.108397i
$874$	5.98402	+	9.46905i	0.202412	+	0.320295i
$875$	−0.858651	+	3.64265i	−0.0290277	+	0.123144i
$876$	13.1671	+	15.6919i	0.444875	+	0.530181i
$877$	−37.9925	+	17.7162i	−1.28292	+	0.598234i	−0.940014	−	0.341137i	$-0.889188\pi$
$877$	−37.9925	+	17.7162i	−1.28292	+	0.598234i	−0.342903	+	0.939371i	$0.611410\pi$
$878$	−3.03316	−	4.33181i	−0.102364	−	0.146191i
$879$	−24.0318	+	4.23745i	−0.810572	+	0.142926i
$880$	6.75154	−	11.9717i	0.227595	−	0.403565i
$881$	2.70678	−	4.68828i	0.0911936	−	0.157952i	−0.816820	−	0.576893i	$-0.804265\pi$
$881$	2.70678	−	4.68828i	0.0911936	−	0.157952i	0.908014	+	0.418941i	$0.137598\pi$
$882$	−1.50091	−	0.402167i	−0.0505382	−	0.0135417i
$883$	30.4975	−	2.66819i	1.02632	−	0.0897917i	0.438459	−	0.898751i	$-0.355524\pi$
$883$	30.4975	−	2.66819i	1.02632	−	0.0897917i	0.587864	+	0.808959i	$0.299969\pi$
$884$	−9.19539	−	7.71585i	−0.309275	−	0.259512i
$885$	3.09881	+	6.47387i	0.104165	+	0.217617i
$886$	1.23175	+	0.711150i	0.0413814	+	0.0238916i
$887$	15.6731	−	33.6111i	0.526252	−	1.12855i	−0.446090	−	0.894988i	$-0.647184\pi$
$887$	15.6731	−	33.6111i	0.526252	−	1.12855i	0.972342	−	0.233562i	$-0.0750383\pi$
$888$	−7.85729	+	11.2214i	−0.263673	+	0.376565i
$889$	−0.389181	+	2.20715i	−0.0130527	+	0.0740256i
$890$	2.86692	−	6.31388i	0.0960995	−	0.211642i
$891$	−14.5025	+	12.1690i	−0.485852	+	0.407678i
$892$	30.4145	−	30.4145i	1.01835	−	1.01835i
$893$	−24.9737	+	3.19525i	−0.835713	+	0.106925i
$894$		−	11.3609i		−	0.379966i
$895$	2.84355	−	17.1371i	0.0950493	−	0.572829i
$896$	−0.975662	+	2.68061i	−0.0325946	+	0.0895529i
$897$	31.2901	−	21.9096i	1.04475	−	0.731539i
$898$	0.810541	+	0.567547i	0.0270481	+	0.0189393i
$899$	4.38846	+	12.0572i	0.146363	+	0.402130i
$900$	−5.61870	−	4.52441i	−0.187290	−	0.150814i
$901$	−5.05646	+	2.91935i	−0.168455	+	0.0972577i
$902$	−0.280698	−	3.20839i	−0.00934622	−	0.106828i
$903$	−0.302123	−	3.45328i	−0.0100540	−	0.114918i
$904$	11.8776	−	6.85751i	0.395041	−	0.228077i
$905$	42.0900	−	7.86079i	1.39912	−	0.261302i
$906$	0.253751	+	0.697176i	0.00843032	+	0.0231621i
$907$	−0.232644	−	0.162899i	−0.00772480	−	0.00540896i	0.569708	−	0.821847i	$-0.307056\pi$
$907$	−0.232644	−	0.162899i	−0.00772480	−	0.00540896i	−0.577432	+	0.816438i	$0.695945\pi$
$908$	−25.4721	+	17.8358i	−0.845323	+	0.591901i
$909$	−2.77099	+	7.61323i	−0.0919079	+	0.252515i
$910$	0.416806	−	0.298170i	0.0138170	−	0.00988424i
$911$		−	35.0022i		−	1.15968i	−0.814732	−	0.579838i	$-0.803116\pi$
$911$		−	35.0022i		−	1.15968i	0.814732	−	0.579838i	$-0.196884\pi$
$912$	29.0933	−	3.72233i	0.963375	−	0.123259i
$913$	−4.15872	+	4.15872i	−0.137633	+	0.137633i
$914$	6.55749	−	5.50239i	0.216903	−	0.182003i
$915$	36.2887	+	16.4775i	1.19967	+	0.544730i
$916$	−3.81840	+	21.6552i	−0.126163	+	0.715508i
$917$	−1.41095	+	2.01505i	−0.0465937	+	0.0665427i
$918$	1.50569	−	3.22896i	0.0496951	−	0.106572i
$919$	−10.2856	−	5.93841i	−0.339291	−	0.195890i	0.320667	−	0.947192i	$-0.396093\pi$
$919$	−10.2856	−	5.93841i	−0.339291	−	0.195890i	−0.659959	+	0.751302i	$0.729426\pi$
$920$	−21.1932	−	7.47214i	−0.698720	−	0.246349i
$921$	−24.5113	−	20.5674i	−0.807675	−	0.677719i
$922$	4.76576	−	0.416950i	0.156952	−	0.0137315i
$923$	−34.5505	−	9.25777i	−1.13724	−	0.304723i
$924$	−1.09696	+	1.89999i	−0.0360874	+	0.0625052i
$925$	25.1267	+	16.8479i	0.826162	+	0.553955i
$926$	−8.32375	+	1.46770i	−0.273535	+	0.0482317i
$927$	−4.64806	−	6.63812i	−0.152662	−	0.218025i
$928$	−18.7815	+	8.75798i	−0.616534	+	0.287495i
$929$	−34.7475	−	41.4104i	−1.14003	−	1.35863i	−0.924067	−	0.382230i	$-0.875156\pi$
$929$	−34.7475	−	41.4104i	−1.14003	−	1.35863i	−0.215960	−	0.976402i	$-0.569288\pi$
$930$	−1.75927	−	2.05412i	−0.0576888	−	0.0673572i
$931$	−16.0394	−	25.3805i	−0.525669	−	0.831814i
$932$	−23.7813	−	23.7813i	−0.778984	−	0.778984i
$933$	−10.2920	−	0.900430i	−0.336944	−	0.0294788i
$934$	−0.432760	−	0.157512i	−0.0141604	−	0.00515395i
$935$	−2.70226	+	10.5084i	−0.0883734	+	0.343663i
$936$	0.351083	+	1.99109i	0.0114755	+	0.0650809i
$937$	16.1359	+	7.52427i	0.527135	+	0.245807i	0.667920	−	0.744233i	$-0.267185\pi$
$937$	16.1359	+	7.52427i	0.527135	+	0.245807i	−0.140785	+	0.990040i	$0.544963\pi$
$938$	−0.284428	−	1.06150i	−0.00928692	−	0.0346592i
$939$	−19.0443	−	32.9856i	−0.621486	−	1.07645i
$940$	17.2732	−	17.6257i	0.563389	−	0.574887i
$941$	20.1771	−	24.0461i	0.657754	−	0.783881i	−0.329307	−	0.944223i	$-0.606815\pi$
$941$	20.1771	−	24.0461i	0.657754	−	0.783881i	0.987062	+	0.160342i	$0.0512596\pi$
$942$	−2.43838	+	9.10016i	−0.0794468	+	0.296499i
$943$	50.5977	−	13.5576i	1.64769	−	0.441497i
$944$	5.40486	−	1.96721i	0.175913	−	0.0640271i
$945$	−2.51534	−	2.06769i	−0.0818241	−	0.0672619i
$946$	−2.78325	−	0.490762i	−0.0904912	−	0.0159560i
$947$	−10.6127	−	22.7589i	−0.344865	−	0.739565i	0.655006	−	0.755624i	$-0.272666\pi$
$947$	−10.6127	−	22.7589i	−0.344865	−	0.739565i	−0.999871	+	0.0160582i	$0.994888\pi$
$948$	4.83052	−	55.2131i	0.156888	−	1.79324i
$949$	−12.6786			−0.411564
$950$	0.956660	+	6.44068i	0.0310381	+	0.208963i
$951$	−35.3895			−1.14758
$952$	0.0934410	−	1.06804i	0.00302844	−	0.0346152i
$953$	−0.645677	−	1.38466i	−0.0209155	−	0.0448535i	0.895572	−	0.444916i	$-0.146766\pi$
$953$	−0.645677	−	1.38466i	−0.0209155	−	0.0448535i	−0.916488	+	0.400062i	$0.868989\pi$
$954$	0.473189	+	0.0834359i	0.0153200	+	0.00270134i
$955$	−27.3632	−	22.4934i	−0.885453	−	0.727869i
$956$	5.70017	−	2.07469i	0.184357	−	0.0671003i
$957$	−20.3491	+	5.45253i	−0.657794	+	0.176255i
$958$	−1.29696	+	4.84033i	−0.0419030	+	0.156384i
$959$	1.13214	−	1.34923i	0.0365587	−	0.0435689i
$960$	−18.0052	+	18.3727i	−0.581116	+	0.592976i
$961$	−13.3177	−	23.0669i	−0.429603	−	0.744095i
$962$	−1.07218	−	4.00145i	−0.0345686	−	0.129012i
$963$	1.50725	+	0.702844i	0.0485706	+	0.0226488i
$964$	2.55740	+	14.5037i	0.0823682	+	0.467133i
$965$	−15.1113	+	58.7641i	−0.486450	+	1.89168i
$966$	1.56638	+	0.570115i	0.0503974	+	0.0183431i
$967$	20.1058	+	1.75903i	0.646558	+	0.0565665i	0.405718	−	0.913998i	$-0.367022\pi$
$967$	20.1058	+	1.75903i	0.646558	+	0.0565665i	0.240840	+	0.970565i	$0.422577\pi$
$968$	−6.49917	−	6.49917i	−0.208891	−	0.208891i
$969$	−21.4244	+	8.78288i	−0.688250	+	0.282147i
$970$	−2.60671	−	3.04358i	−0.0836963	−	0.0977234i
$971$	−1.63397	−	1.94730i	−0.0524367	−	0.0624917i	0.739189	−	0.673499i	$-0.235209\pi$
$971$	−1.63397	−	1.94730i	−0.0524367	−	0.0624917i	−0.791625	+	0.611007i	$0.790765\pi$
$972$	13.2899	−	6.19720i	0.426275	−	0.198775i
$973$	3.56750	+	5.09491i	0.114369	+	0.163335i
$974$	1.18424	−	0.208814i	0.0379456	−	0.00669083i
$975$	21.7848	−	4.29673i	0.697672	−	0.137605i
$976$	15.9692	−	27.6595i	0.511163	−	0.885361i
$977$	56.1223	+	15.0379i	1.79551	+	0.481106i	0.993263	−	0.115882i	$-0.0369696\pi$
$977$	56.1223	+	15.0379i	1.79551	+	0.481106i	0.802250	+	0.596989i	$0.203636\pi$
$978$	5.87892	−	0.514339i	0.187987	−	0.0164468i
$979$	−14.0751	−	11.8104i	−0.449842	−	0.377462i
$980$	27.7546	+	9.78549i	0.886587	+	0.312586i
$981$	5.69657	+	3.28892i	0.181877	+	0.105007i
$982$	−1.47703	+	3.16750i	−0.0471338	+	0.101079i
$983$	−18.8478	+	26.9174i	−0.601150	+	0.858531i	−0.998243	−	0.0592470i	$-0.981130\pi$
$983$	−18.8478	+	26.9174i	−0.601150	+	0.858531i	0.397093	+	0.917778i	$0.370019\pi$
$984$	−2.39430	+	13.5787i	−0.0763275	+	0.432875i
$985$	29.4470	+	13.3709i	0.938261	+	0.426033i
$986$	3.85318	−	3.23320i	0.122710	−	0.102966i
$987$	−2.64930	+	2.64930i	−0.0843283	+	0.0843283i
$988$	−10.3141	+	16.0604i	−0.328136	+	0.510949i
$989$		−	45.9668i		−	1.46166i
$990$	0.726221	−	0.519516i	0.0230808	−	0.0165113i
$991$	6.36348	−	17.4835i	0.202143	−	0.555383i	−0.796653	−	0.604436i	$-0.793398\pi$
$991$	6.36348	−	17.4835i	0.202143	−	0.555383i	0.998796	+	0.0490538i	$0.0156206\pi$
$992$	−5.77437	+	4.04326i	−0.183336	+	0.128373i
$993$	19.2705	+	13.4933i	0.611530	+	0.428198i
$994$	−0.533863	−	1.46678i	−0.0169331	−	0.0465233i
$995$	7.00814	−	1.30885i	0.222173	−	0.0414933i
$996$	10.6540	−	6.15109i	0.337585	−	0.194905i
$997$	4.52099	+	51.6752i	0.143181	+	1.63657i	0.639758	+	0.768577i	$0.279035\pi$
$997$	4.52099	+	51.6752i	0.143181	+	1.63657i	−0.496577	+	0.867993i	$0.665410\pi$
$998$	−0.675919	−	7.72579i	−0.0213958	−	0.244555i
$999$	−22.7945	+	13.1604i	−0.721185	+	0.416376i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.r.a.32.4	yes	96
3.2	odd	2		855.2.dl.a.127.5		96
5.2	odd	4		475.2.bb.b.393.4		96
5.3	odd	4	inner	95.2.r.a.13.5	yes	96
5.4	even	2		475.2.bb.b.32.5		96
15.8	even	4		855.2.dl.a.298.4		96
19.3	odd	18	inner	95.2.r.a.22.5	yes	96
57.41	even	18		855.2.dl.a.307.4		96
95.3	even	36	inner	95.2.r.a.3.4	✓	96
95.22	even	36		475.2.bb.b.193.5		96
95.79	odd	18		475.2.bb.b.307.4		96
285.98	odd	36		855.2.dl.a.478.5		96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.r.a.3.4	✓	96	95.3	even	36	inner
95.2.r.a.13.5	yes	96	5.3	odd	4	inner
95.2.r.a.22.5	yes	96	19.3	odd	18	inner
95.2.r.a.32.4	yes	96	1.1	even	1	trivial
475.2.bb.b.32.5		96	5.4	even	2
475.2.bb.b.193.5		96	95.22	even	36
475.2.bb.b.307.4		96	95.79	odd	18
475.2.bb.b.393.4		96	5.2	odd	4
855.2.dl.a.127.5		96	3.2	odd	2
855.2.dl.a.298.4		96	15.8	even	4
855.2.dl.a.307.4		96	57.41	even	18
855.2.dl.a.478.5		96	285.98	odd	36

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	95.r (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.0260387 - 0.297624i) q^{2} +(-0.818952 - 1.75625i) q^{3} +(1.88171 + 0.331797i) q^{4} +(-1.72736 - 1.41994i) q^{5} +(-0.544026 + 0.198009i) q^{6} +(-0.323332 + 0.0866366i) q^{7} +(0.302398 - 1.12856i) q^{8} +(-0.485360 + 0.578430i) q^{9} +(-0.467587 + 0.477130i) q^{10} +(0.885063 + 1.53297i) q^{11} +(-0.958315 - 3.57648i) q^{12} +(2.07700 + 0.968521i) q^{13} +(0.0173660 + 0.0984873i) q^{14} +(-1.07914 + 4.19653i) q^{15} +(3.26301 + 1.18764i) q^{16} +(-2.73085 - 0.238918i) q^{17} +(0.159516 + 0.159516i) q^{18} +(0.174252 + 4.35541i) q^{19} +(-2.77926 - 3.24505i) q^{20} +(0.416949 + 0.496900i) q^{21} +(0.479296 - 0.223499i) q^{22} +(4.93359 + 7.04590i) q^{23} +(-2.22969 + 0.393154i) q^{24} +(0.967536 + 4.90549i) q^{25} +(0.342337 - 0.592946i) q^{26} +(-4.20197 - 1.12592i) q^{27} +(-0.637164 + 0.0557446i) q^{28} +(-4.70481 - 3.94780i) q^{29} +(1.22089 + 0.430451i) q^{30} +(-1.80927 - 1.04458i) q^{31} +(1.42599 - 3.05804i) q^{32} +(1.96746 - 2.80982i) q^{33} +(-0.142216 + 0.806545i) q^{34} +(0.681529 + 0.309460i) q^{35} +(-1.10523 + 0.927398i) q^{36} +(4.27833 - 4.27833i) q^{37} +(1.30081 + 0.0615479i) q^{38} -4.44090i q^{39} +(-2.12485 + 1.52005i) q^{40} +(2.08289 - 5.72270i) q^{41} +(0.158746 - 0.111155i) q^{42} +(-4.37761 - 3.06524i) q^{43} +(1.15680 + 3.17828i) q^{44} +(1.65973 - 0.309973i) q^{45} +(2.22549 - 1.28489i) q^{46} +(0.503417 + 5.75408i) q^{47} +(-0.586460 - 6.70326i) q^{48} +(-5.96514 + 3.44398i) q^{49} +(1.48519 - 0.160229i) q^{50} +(1.81683 + 4.99171i) q^{51} +(3.58697 + 2.51162i) q^{52} +(1.74473 - 1.22167i) q^{53} +(-0.444513 + 1.22129i) q^{54} +(0.647911 - 3.90473i) q^{55} +0.391100i q^{56} +(7.50648 - 3.87290i) q^{57} +(-1.29747 + 1.29747i) q^{58} +(1.26888 - 1.06472i) q^{59} +(-3.42304 + 7.53861i) q^{60} +(1.59718 - 9.05803i) q^{61} +(-0.358003 + 0.511282i) q^{62} +(0.106819 - 0.229075i) q^{63} +(5.14139 + 2.96838i) q^{64} +(-2.21248 - 4.62220i) q^{65} +(-0.785040 - 0.658727i) q^{66} +(-10.9469 + 0.957732i) q^{67} +(-5.05941 - 1.35566i) q^{68} +(8.33397 - 14.4349i) q^{69} +(0.109849 - 0.194781i) q^{70} +(-15.3710 + 2.71031i) q^{71} +(0.506024 + 0.722676i) q^{72} +(-5.01402 + 2.33808i) q^{73} +(-1.16193 - 1.38473i) q^{74} +(7.82290 - 5.71659i) q^{75} +(-1.11722 + 8.25346i) q^{76} +(-0.418981 - 0.418981i) q^{77} +(-1.32172 - 0.115635i) q^{78} +(14.0660 + 5.11962i) q^{79} +(-3.95001 - 6.68475i) q^{80} +(1.85719 + 10.5326i) q^{81} +(-1.64898 - 0.768931i) q^{82} +(0.859936 + 3.20933i) q^{83} +(0.619708 + 1.07337i) q^{84} +(4.37791 + 4.29034i) q^{85} +(-1.02628 + 1.22307i) q^{86} +(-3.08031 + 11.4959i) q^{87} +(1.99770 - 0.535283i) q^{88} +(-9.75391 + 3.55013i) q^{89} +(-0.0490382 - 0.502046i) q^{90} +(-0.755470 - 0.133210i) q^{91} +(6.94580 + 14.8953i) q^{92} +(-0.352840 + 4.03298i) q^{93} +1.72566 q^{94} +(5.88344 - 7.77079i) q^{95} -6.53849 q^{96} +(-0.522802 + 5.97565i) q^{97} +(0.869685 + 1.86504i) q^{98} +(-1.31629 - 0.232098i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8} - 12 q^{10} - 12 q^{11} - 18 q^{12} - 12 q^{13} + 6 q^{15} + 12 q^{16} - 30 q^{17} - 84 q^{20} + 24 q^{21} - 24 q^{22} + 12 q^{25} - 48 q^{26}+ \cdots - 90 q^{98}+O(q^{100}) \) 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8 - 12 * q^10 - 12 * q^11 - 18 * q^12 - 12 * q^13 + 6 * q^15 + 12 * q^16 - 30 * q^17 - 84 * q^20 + 24 * q^21 - 24 * q^22 + 12 * q^25 - 48 * q^26 - 18 * q^27 - 6 * q^30 - 36 * q^31 + 18 * q^32 + 90 * q^33 - 30 * q^35 + 24 * q^36 + 54 * q^38 + 54 * q^40 + 12 * q^41 + 24 * q^42 + 48 * q^43 + 12 * q^45 - 36 * q^46 - 24 * q^47 + 60 * q^48 + 126 * q^50 - 96 * q^51 - 30 * q^53 + 18 * q^55 - 66 * q^57 + 120 * q^58 + 84 * q^60 - 48 * q^61 + 60 * q^62 - 126 * q^63 + 72 * q^65 + 72 * q^66 + 108 * q^67 + 18 * q^68 + 36 * q^70 - 24 * q^71 + 48 * q^72 + 6 * q^73 + 60 * q^76 + 168 * q^77 - 138 * q^78 - 60 * q^80 - 120 * q^81 + 60 * q^82 - 36 * q^85 - 180 * q^86 - 6 * q^87 - 198 * q^88 - 270 * q^90 - 24 * q^91 - 72 * q^92 - 90 * q^93 - 24 * q^95 - 192 * q^96 - 72 * q^97 - 90 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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