LMFDB - Embedded newform 315.2.cc.a.92.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [315,2,Mod(92,315)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(315, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([2, 3, 0]))

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

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

chi := DirichletCharacter("315.92");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 315 = 3^{2} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	315.cc (of order $12$, degree $4$, 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:	$2.51528766367$
Analytic rank:	$0$
Dimension:	$144$
Relative dimension:	$36$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			92.17
Character	$\chi$	$=$	315.92
Dual form			315.2.cc.a.113.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.0549668 - 0.205139i) q^{2} +(1.73204 - 0.00719422i) q^{3} +(1.69299 - 0.977448i) q^{4} +(-1.03445 - 1.98240i) q^{5} +(-0.0966803 - 0.354913i) q^{6} +(-0.965926 + 0.258819i) q^{7} +(-0.593915 - 0.593915i) q^{8} +(2.99990 - 0.0249213i) q^{9} +O(q^{10})$	\(q+(-0.0549668 - 0.205139i) q^{2} +(1.73204 - 0.00719422i) q^{3} +(1.69299 - 0.977448i) q^{4} +(-1.03445 - 1.98240i) q^{5} +(-0.0966803 - 0.354913i) q^{6} +(-0.965926 + 0.258819i) q^{7} +(-0.593915 - 0.593915i) q^{8} +(2.99990 - 0.0249213i) q^{9} +(-0.349807 + 0.321173i) q^{10} +(-1.62366 - 0.937420i) q^{11} +(2.92529 - 1.70516i) q^{12} +(0.953645 + 0.255528i) q^{13} +(0.106188 + 0.183923i) q^{14} +(-1.80597 - 3.42614i) q^{15} +(1.86571 - 3.23150i) q^{16} +(-1.86890 + 1.86890i) q^{17} +(-0.170007 - 0.614026i) q^{18} +3.24430i q^{19} +(-3.68901 - 2.34506i) q^{20} +(-1.67116 + 0.455233i) q^{21} +(-0.103054 + 0.384603i) q^{22} +(-1.37504 + 5.13172i) q^{23} +(-1.03296 - 1.02441i) q^{24} +(-2.85982 + 4.10140i) q^{25} -0.209675i q^{26} +(5.19575 - 0.0647465i) q^{27} +(-1.38232 + 1.38232i) q^{28} +(4.43829 - 7.68735i) q^{29} +(-0.603567 + 0.558799i) q^{30} +(4.44401 + 7.69725i) q^{31} +(-2.38807 - 0.639880i) q^{32} +(-2.81898 - 1.61196i) q^{33} +(0.486112 + 0.280657i) q^{34} +(1.51229 + 1.64711i) q^{35} +(5.05444 - 2.97444i) q^{36} +(3.60696 + 3.60696i) q^{37} +(0.665533 - 0.178329i) q^{38} +(1.65359 + 0.435724i) q^{39} +(-0.563000 + 1.79176i) q^{40} +(-3.92254 + 2.26468i) q^{41} +(0.185244 + 0.317797i) q^{42} +(-3.24072 - 12.0945i) q^{43} -3.66512 q^{44} +(-3.15266 - 5.92121i) q^{45} +1.12830 q^{46} +(1.47308 + 5.49762i) q^{47} +(3.20822 - 5.61050i) q^{48} +(0.866025 - 0.500000i) q^{49} +(0.998551 + 0.361219i) q^{50} +(-3.22356 + 3.25045i) q^{51} +(1.86428 - 0.499532i) q^{52} +(5.23765 + 5.23765i) q^{53} +(-0.298876 - 1.06229i) q^{54} +(-0.178742 + 4.18846i) q^{55} +(0.727395 + 0.419962i) q^{56} +(0.0233403 + 5.61925i) q^{57} +(-1.82093 - 0.487918i) q^{58} +(-4.77266 - 8.26649i) q^{59} +(-6.40637 - 4.03519i) q^{60} +(1.14270 - 1.97922i) q^{61} +(1.33473 - 1.33473i) q^{62} +(-2.89123 + 0.800502i) q^{63} -6.93777i q^{64} +(-0.479941 - 2.15484i) q^{65} +(-0.175726 + 0.666888i) q^{66} +(-2.68989 + 10.0388i) q^{67} +(-1.33728 + 4.99078i) q^{68} +(-2.34470 + 8.89821i) q^{69} +(0.254762 - 0.400766i) q^{70} +3.01945i q^{71} +(-1.79649 - 1.76688i) q^{72} +(-4.60003 + 4.60003i) q^{73} +(0.541665 - 0.938192i) q^{74} +(-4.92380 + 7.12434i) q^{75} +(3.17114 + 5.49257i) q^{76} +(1.81096 + 0.485245i) q^{77} +(-0.00150845 - 0.363165i) q^{78} +(-2.00703 - 1.15876i) q^{79} +(-8.33611 - 0.355743i) q^{80} +(8.99876 - 0.149523i) q^{81} +(0.680184 + 0.680184i) q^{82} +(-15.7387 + 4.21717i) q^{83} +(-2.38428 + 2.40417i) q^{84} +(5.63819 + 1.77162i) q^{85} +(-2.30293 + 1.32960i) q^{86} +(7.63198 - 13.3467i) q^{87} +(0.407568 + 1.52107i) q^{88} +0.0294569 q^{89} +(-1.04138 + 0.972203i) q^{90} -0.987286 q^{91} +(2.68806 + 10.0320i) q^{92} +(7.75256 + 13.2999i) q^{93} +(1.04681 - 0.604373i) q^{94} +(6.43151 - 3.35608i) q^{95} +(-4.14082 - 1.09112i) q^{96} +(-9.38590 + 2.51494i) q^{97} +(-0.150172 - 0.150172i) q^{98} +(-4.89417 - 2.77170i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q + 4 q^{3}+O(q^{10}) $ 144 * q + 4 * q^3	$ 144 q + 4 q^{3} - 12 q^{11} - 16 q^{12} + 16 q^{15} + 72 q^{16} - 64 q^{18} - 48 q^{20} - 4 q^{21} - 24 q^{23} - 12 q^{25} - 32 q^{27} - 20 q^{30} - 60 q^{32} - 16 q^{33} - 16 q^{36} - 24 q^{37} + 72 q^{38} + 48 q^{41} - 40 q^{42} + 40 q^{45} - 48 q^{46} + 12 q^{47} + 104 q^{48} - 76 q^{51} - 24 q^{55} - 4 q^{57} - 92 q^{60} + 8 q^{63} - 72 q^{65} - 80 q^{66} - 12 q^{67} - 64 q^{72} - 108 q^{75} - 24 q^{76} + 72 q^{78} + 32 q^{81} - 96 q^{82} + 120 q^{83} - 48 q^{85} - 144 q^{86} + 116 q^{87} - 48 q^{88} + 252 q^{90} + 24 q^{91} + 156 q^{92} - 44 q^{93} + 120 q^{95} - 96 q^{96} - 60 q^{97}+O(q^{100}) $ 144 * q + 4 * q^3 - 12 * q^11 - 16 * q^12 + 16 * q^15 + 72 * q^16 - 64 * q^18 - 48 * q^20 - 4 * q^21 - 24 * q^23 - 12 * q^25 - 32 * q^27 - 20 * q^30 - 60 * q^32 - 16 * q^33 - 16 * q^36 - 24 * q^37 + 72 * q^38 + 48 * q^41 - 40 * q^42 + 40 * q^45 - 48 * q^46 + 12 * q^47 + 104 * q^48 - 76 * q^51 - 24 * q^55 - 4 * q^57 - 92 * q^60 + 8 * q^63 - 72 * q^65 - 80 * q^66 - 12 * q^67 - 64 * q^72 - 108 * q^75 - 24 * q^76 + 72 * q^78 + 32 * q^81 - 96 * q^82 + 120 * q^83 - 48 * q^85 - 144 * q^86 + 116 * q^87 - 48 * q^88 + 252 * q^90 + 24 * q^91 + 156 * q^92 - 44 * q^93 + 120 * q^95 - 96 * q^96 - 60 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/315\mathbb{Z}\right)^\times$.

$n$	$127$	$136$	$281$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$1$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−0.0549668	−	0.205139i	−0.0388674	−	0.145055i	0.943765	−	0.330616i	$-0.107256\pi$
$2$	−0.0549668	−	0.205139i	−0.0388674	−	0.145055i	−0.982633	+	0.185561i	$0.940590\pi$
$3$	1.73204	−	0.00719422i	0.999991	−	0.00415359i
$3$	1.73204	−	0.00719422i	0.999991	−	0.00415359i
$4$	1.69299	−	0.977448i	0.846495	−	0.488724i
$5$	−1.03445	−	1.98240i	−0.462621	−	0.886556i
$5$	−1.03445	−	1.98240i	−0.462621	−	0.886556i
$6$	−0.0966803	−	0.354913i	−0.0394696	−	0.144892i
$7$	−0.965926	+	0.258819i	−0.365086	+	0.0978244i
$7$	−0.965926	+	0.258819i	−0.365086	+	0.0978244i
$8$	−0.593915	−	0.593915i	−0.209981	−	0.209981i
$9$	2.99990	−	0.0249213i	0.999965	−	0.00830710i
$10$	−0.349807	+	0.321173i	−0.110619	+	0.101564i
$11$	−1.62366	−	0.937420i	−0.489552	−	0.282643i	0.234837	−	0.972035i	$-0.424544\pi$
$11$	−1.62366	−	0.937420i	−0.489552	−	0.282643i	−0.724389	+	0.689392i	$0.757878\pi$
$12$	2.92529	−	1.70516i	0.844458	−	0.492236i
$13$	0.953645	+	0.255528i	0.264493	+	0.0708708i	0.388629	−	0.921395i	$-0.372949\pi$
$13$	0.953645	+	0.255528i	0.264493	+	0.0708708i	−0.124135	+	0.992265i	$0.539616\pi$
$14$	0.106188	+	0.183923i	0.0283799	+	0.0491554i
$15$	−1.80597	−	3.42614i	−0.466300	−	0.884627i
$16$	1.86571	−	3.23150i	0.466427	−	0.807875i
$17$	−1.86890	+	1.86890i	−0.453275	+	0.453275i	−0.896440	−	0.443165i	$-0.853855\pi$
$17$	−1.86890	+	1.86890i	−0.453275	+	0.453275i	0.443165	+	0.896440i	$0.353855\pi$
$18$	−0.170007	−	0.614026i	−0.0400711	−	0.144727i
$19$			3.24430i			0.744294i	0.928174	+	0.372147i	$0.121378\pi$
$19$			3.24430i			0.744294i	−0.928174	+	0.372147i	$0.878622\pi$
$20$	−3.68901	−	2.34506i	−0.824888	−	0.524371i
$21$	−1.67116	+	0.455233i	−0.364676	+	0.0993400i
$22$	−0.103054	+	0.384603i	−0.0219712	+	0.0819976i
$23$	−1.37504	+	5.13172i	−0.286716	+	1.07004i	0.660861	+	0.750508i	$0.270191\pi$
$23$	−1.37504	+	5.13172i	−0.286716	+	1.07004i	−0.947577	+	0.319529i	$0.896475\pi$
$24$	−1.03296	−	1.02441i	−0.210851	−	0.209107i
$25$	−2.85982	+	4.10140i	−0.571963	+	0.820279i
$26$		−	0.209675i		−	0.0411207i
$27$	5.19575	−	0.0647465i	0.999922	−	0.0124605i
$28$	−1.38232	+	1.38232i	−0.261234	+	0.261234i
$29$	4.43829	−	7.68735i	0.824171	−	1.42751i	−0.0783809	−	0.996923i	$-0.524975\pi$
$29$	4.43829	−	7.68735i	0.824171	−	1.42751i	0.902552	−	0.430582i	$-0.141692\pi$
$30$	−0.603567	+	0.558799i	−0.110196	+	0.102022i
$31$	4.44401	+	7.69725i	0.798167	+	1.38247i	0.920808	+	0.390015i	$0.127530\pi$
$31$	4.44401	+	7.69725i	0.798167	+	1.38247i	−0.122641	+	0.992451i	$0.539136\pi$
$32$	−2.38807	−	0.639880i	−0.422154	−	0.113116i
$33$	−2.81898	−	1.61196i	−0.490722	−	0.280607i
$34$	0.486112	+	0.280657i	0.0833675	+	0.0481322i
$35$	1.51229	+	1.64711i	0.255623	+	0.278413i
$36$	5.05444	−	2.97444i	0.842406	−	0.495739i
$37$	3.60696	+	3.60696i	0.592981	+	0.592981i	0.938435	−	0.345455i	$-0.112275\pi$
$37$	3.60696	+	3.60696i	0.592981	+	0.592981i	−0.345455	+	0.938435i	$0.612275\pi$
$38$	0.665533	−	0.178329i	0.107964	−	0.0289288i
$39$	1.65359	+	0.435724i	0.264786	+	0.0697716i
$40$	−0.563000	+	1.79176i	−0.0890181	+	0.283301i
$41$	−3.92254	+	2.26468i	−0.612598	+	0.353684i	−0.773982	−	0.633208i	$-0.781738\pi$
$41$	−3.92254	+	2.26468i	−0.612598	+	0.353684i	0.161383	+	0.986892i	$0.448404\pi$
$42$	0.185244	+	0.317797i	0.0285838	+	0.0490371i
$43$	−3.24072	−	12.0945i	−0.494205	−	1.84440i	−0.534439	−	0.845207i	$-0.679477\pi$
$43$	−3.24072	−	12.0945i	−0.494205	−	1.84440i	0.0402339	−	0.999190i	$-0.487190\pi$
$44$	−3.66512			−0.552538
$45$	−3.15266	−	5.92121i	−0.469970	−	0.882682i
$46$	1.12830			0.166358
$47$	1.47308	+	5.49762i	0.214871	+	0.801910i	0.986212	+	0.165488i	$0.0529198\pi$
$47$	1.47308	+	5.49762i	0.214871	+	0.801910i	−0.771341	+	0.636422i	$0.780414\pi$
$48$	3.20822	−	5.61050i	0.463067	−	0.809805i
$49$	0.866025	−	0.500000i	0.123718	−	0.0714286i
$50$	0.998551	+	0.361219i	0.141217	+	0.0510841i
$51$	−3.22356	+	3.25045i	−0.451388	+	0.455153i
$52$	1.86428	−	0.499532i	0.258529	−	0.0692726i
$53$	5.23765	+	5.23765i	0.719446	+	0.719446i	0.968492	−	0.249045i	$-0.0801169\pi$
$53$	5.23765	+	5.23765i	0.719446	+	0.719446i	−0.249045	+	0.968492i	$0.580117\pi$
$54$	−0.298876	−	1.06229i	−0.0406719	−	0.144560i
$55$	−0.178742	+	4.18846i	−0.0241016	+	0.564772i
$56$	0.727395	+	0.419962i	0.0972022	+	0.0561197i
$57$	0.0233403	+	5.61925i	0.00309149	+	0.744288i
$58$	−1.82093	−	0.487918i	−0.239100	−	0.0640668i
$59$	−4.77266	−	8.26649i	−0.621347	−	1.07621i	−0.989235	−	0.146335i	$-0.953252\pi$
$59$	−4.77266	−	8.26649i	−0.621347	−	1.07621i	0.367888	−	0.929870i	$-0.380081\pi$
$60$	−6.40637	−	4.03519i	−0.827059	−	0.520940i
$61$	1.14270	−	1.97922i	0.146308	−	0.253413i	−0.783552	−	0.621326i	$-0.786594\pi$
$61$	1.14270	−	1.97922i	0.146308	−	0.253413i	0.929860	+	0.367913i	$0.119928\pi$
$62$	1.33473	−	1.33473i	0.169511	−	0.169511i
$63$	−2.89123	+	0.800502i	−0.364260	+	0.100854i
$64$		−	6.93777i		−	0.867221i
$65$	−0.479941	−	2.15484i	−0.0595294	−	0.267275i
$66$	−0.175726	+	0.666888i	−0.0216304	+	0.0820882i
$67$	−2.68989	+	10.0388i	−0.328622	+	1.22643i	0.581998	+	0.813190i	$0.302271\pi$
$67$	−2.68989	+	10.0388i	−0.328622	+	1.22643i	−0.910620	+	0.413244i	$0.864396\pi$
$68$	−1.33728	+	4.99078i	−0.162168	+	0.605221i
$69$	−2.34470	+	8.89821i	−0.282269	+	1.07122i
$70$	0.254762	−	0.400766i	0.0304499	−	0.0479007i
$71$			3.01945i			0.358343i	0.983818	+	0.179171i	$0.0573416\pi$
$71$			3.01945i			0.358343i	−0.983818	+	0.179171i	$0.942658\pi$
$72$	−1.79649	−	1.76688i	−0.211718	−	0.208229i
$73$	−4.60003	+	4.60003i	−0.538393	+	0.538393i	−0.923057	−	0.384664i	$-0.874317\pi$
$73$	−4.60003	+	4.60003i	−0.538393	+	0.538393i	0.384664	+	0.923057i	$0.374317\pi$
$74$	0.541665	−	0.938192i	0.0629673	−	0.109063i
$75$	−4.92380	+	7.12434i	−0.568551	+	0.822648i
$76$	3.17114	+	5.49257i	0.363755	+	0.630042i
$77$	1.81096	+	0.485245i	0.206378	+	0.0552987i
$78$	−0.00150845	−	0.363165i	−0.000170798	−	0.0411204i
$79$	−2.00703	−	1.15876i	−0.225808	−	0.130371i	0.382828	−	0.923819i	$-0.374950\pi$
$79$	−2.00703	−	1.15876i	−0.225808	−	0.130371i	−0.608637	+	0.793449i	$0.708283\pi$
$80$	−8.33611	−	0.355743i	−0.932005	−	0.0397733i
$81$	8.99876	−	0.149523i	0.999862	−	0.0166136i
$82$	0.680184	+	0.680184i	0.0751138	+	0.0751138i
$83$	−15.7387	+	4.21717i	−1.72755	+	0.462894i	−0.979615	−	0.200883i	$-0.935619\pi$
$83$	−15.7387	+	4.21717i	−1.72755	+	0.462894i	−0.747930	+	0.663778i	$0.768952\pi$
$84$	−2.38428	+	2.40417i	−0.260147	+	0.262317i
$85$	5.63819	+	1.77162i	0.611548	+	0.192159i
$86$	−2.30293	+	1.32960i	−0.248331	+	0.143374i
$87$	7.63198	−	13.3467i	0.818234	−	1.43092i
$88$	0.407568	+	1.52107i	0.0434469	+	0.162146i
$89$	0.0294569			0.00312243			0.00156121	−	0.999999i	$-0.499503\pi$
$89$	0.0294569			0.00312243			0.00156121	+	0.999999i	$0.499503\pi$
$90$	−1.04138	+	0.972203i	−0.109771	+	0.102479i
$91$	−0.987286			−0.103496
$92$	2.68806	+	10.0320i	0.280250	+	1.04591i
$93$	7.75256	+	13.2999i	0.803903	+	1.37914i
$94$	1.04681	−	0.604373i	0.107970	−	0.0623364i
$95$	6.43151	−	3.35608i	0.659859	−	0.344326i
$96$	−4.14082	−	1.09112i	−0.422621	−	0.111361i
$97$	−9.38590	+	2.51494i	−0.952994	+	0.255354i	−0.701632	−	0.712539i	$-0.747545\pi$
$97$	−9.38590	+	2.51494i	−0.952994	+	0.255354i	−0.251362	+	0.967893i	$0.580878\pi$
$98$	−0.150172	−	0.150172i	−0.0151697	−	0.0151697i
$99$	−4.89417	−	2.77170i	−0.491883	−	0.278566i
$100$	−0.832735	+	9.73895i	−0.0832735	+	0.973895i
$101$	1.45601	+	0.840630i	0.144879	+	0.0836458i	0.570687	−	0.821168i	$-0.306677\pi$
$101$	1.45601	+	0.840630i	0.144879	+	0.0836458i	−0.425808	+	0.904813i	$0.640010\pi$
$102$	0.843982	+	0.482610i	0.0835667	+	0.0477855i
$103$	−4.16117	−	1.11498i	−0.410012	−	0.109863i	0.0479164	−	0.998851i	$-0.484742\pi$
$103$	−4.16117	−	1.11498i	−0.410012	−	0.109863i	−0.457929	+	0.888989i	$0.651409\pi$
$104$	−0.414622	−	0.718147i	−0.0406570	−	0.0704201i
$105$	2.63119	+	2.84198i	0.256777	+	0.277349i
$106$	0.786549	−	1.36234i	0.0763964	−	0.132322i
$107$	−5.36064	+	5.36064i	−0.518233	+	0.518233i	−0.917036	−	0.398804i	$-0.869425\pi$
$107$	−5.36064	+	5.36064i	−0.518233	+	0.518233i	0.398804	+	0.917036i	$0.369425\pi$
$108$	8.73307	−	5.18819i	0.840340	−	0.499234i
$109$		−	9.50801i		−	0.910703i	−0.890312	−	0.455351i	$-0.849514\pi$
$109$		−	9.50801i		−	0.910703i	0.890312	−	0.455351i	$-0.150486\pi$
$110$	0.869041	−	0.193559i	0.0828598	−	0.0184552i
$111$	6.27334	+	6.22144i	0.595439	+	0.590513i
$112$	−0.965761	+	3.60427i	−0.0912558	+	0.340571i
$113$	2.72495	−	10.1696i	0.256342	−	0.956680i	−0.710997	−	0.703195i	$-0.751756\pi$
$113$	2.72495	−	10.1696i	0.256342	−	0.956680i	0.967339	−	0.253486i	$-0.0815771\pi$
$114$	1.15144	−	0.313660i	0.107843	−	0.0293770i
$115$	11.5955	−	2.58264i	1.08129	−	0.240833i
$116$		−	17.3528i		−	1.61117i
$117$	2.86720	+	0.742793i	0.265073	+	0.0686712i
$118$	−1.43344	+	1.43344i	−0.131959	+	0.131959i
$119$	1.32151	−	2.28892i	0.121143	−	0.209825i
$120$	−0.962246	+	3.10743i	−0.0878407	+	0.283669i
$121$	−3.74249	−	6.48218i	−0.340226	−	0.589289i
$122$	−0.468826	−	0.125622i	−0.0424455	−	0.0113732i
$123$	−6.77769	+	3.95073i	−0.611124	+	0.356225i
$124$	15.0473	+	8.68758i	1.35129	+	0.780167i
$125$	11.0890	+	1.42659i	0.991826	+	0.127598i
$126$	0.323136	+	0.549102i	0.0287872	+	0.0489179i
$127$	−7.79678	−	7.79678i	−0.691852	−	0.691852i	0.270787	−	0.962639i	$-0.412716\pi$
$127$	−7.79678	−	7.79678i	−0.691852	−	0.691852i	−0.962639	+	0.270787i	$0.912716\pi$
$128$	−6.19934	+	1.66111i	−0.547949	+	0.146823i
$129$	−5.70005	−	20.9248i	−0.501861	−	1.84233i
$130$	−0.415660	+	0.216899i	−0.0364558	+	0.0190233i
$131$	−3.55482	+	2.05238i	−0.310586	+	0.179317i	−0.647189	−	0.762330i	$-0.724055\pi$
$131$	−3.55482	+	2.05238i	−0.310586	+	0.179317i	0.336602	+	0.941647i	$0.390722\pi$
$132$	−6.34812	+	0.0263677i	−0.552533	+	0.00229501i
$133$	−0.839688	−	3.13376i	−0.0728102	−	0.271731i
$134$	2.20720			0.190673
$135$	−5.50311	−	10.2331i	−0.473632	−	0.880723i
$136$	2.21994			0.190358
$137$	0.964126	+	3.59817i	0.0823708	+	0.307412i	0.994803	−	0.101815i	$-0.0324650\pi$
$137$	0.964126	+	3.59817i	0.0823708	+	0.307412i	−0.912433	+	0.409227i	$0.865798\pi$
$138$	1.95425	−	0.00811722i	0.166357	−	0.000690984i
$139$	5.65574	−	3.26534i	0.479714	−	0.276963i	−0.240583	−	0.970628i	$-0.577339\pi$
$139$	5.65574	−	3.26534i	0.479714	−	0.276963i	0.720297	+	0.693666i	$0.244005\pi$
$140$	4.17026	+	1.31037i	0.352451	+	0.110746i
$141$	2.59098	+	9.51148i	0.218200	+	0.801011i
$142$	0.619406	−	0.165969i	0.0519794	−	0.0139278i
$143$	−1.30886	−	1.30886i	−0.109452	−	0.109452i
$144$	5.51639	−	9.74066i	0.459700	−	0.811722i
$145$	−19.8306	−	0.846271i	−1.64684	−	0.0702790i
$146$	1.19649	+	0.690796i	0.0990226	+	0.0571707i
$147$	1.49639	−	0.872248i	0.123420	−	0.0719418i
$148$	9.63217	+	2.58093i	0.791759	+	0.212151i
$149$	−4.21549	−	7.30144i	−0.345346	−	0.598157i	0.640070	−	0.768316i	$-0.278905\pi$
$149$	−4.21549	−	7.30144i	−0.345346	−	0.598157i	−0.985417	+	0.170159i	$0.945572\pi$
$150$	1.73213	+	0.618460i	0.141427	+	0.0504971i
$151$	7.70979	−	13.3538i	0.627414	−	1.08671i	−0.360655	−	0.932699i	$-0.617447\pi$
$151$	7.70979	−	13.3538i	0.627414	−	1.08671i	0.988069	−	0.154014i	$-0.0492200\pi$
$152$	1.92684	−	1.92684i	0.156288	−	0.156288i
$153$	−5.55993	+	5.65308i	−0.449494	+	0.457024i
$154$		−	0.398170i		−	0.0320855i
$155$	10.6619	−	16.7722i	0.856385	−	1.34718i
$156$	3.22540	−	0.878619i	0.258239	−	0.0703458i
$157$	0.903559	−	3.37213i	0.0721119	−	0.269125i	−0.920451	−	0.390858i	$-0.872178\pi$
$157$	0.903559	−	3.37213i	0.0721119	−	0.269125i	0.992563	+	0.121733i	$0.0388451\pi$
$158$	−0.127387	+	0.475413i	−0.0101343	+	0.0378218i
$159$	9.10948	+	9.03411i	0.722428	+	0.716452i
$160$	1.20184	+	5.39603i	0.0950140	+	0.426593i
$161$		−	5.31274i		−	0.418703i
$162$	−0.525306	−	1.83778i	−0.0412719	−	0.144389i
$163$	4.17682	−	4.17682i	0.327154	−	0.327154i	−0.524349	−	0.851503i	$-0.675691\pi$
$163$	4.17682	−	4.17682i	0.327154	−	0.327154i	0.851503	+	0.524349i	$0.175691\pi$
$164$	−4.42722	+	7.66817i	−0.345708	+	0.598783i
$165$	−0.279456	+	7.25585i	−0.0217556	+	0.564867i
$166$	1.73021	+	2.99681i	0.134290	+	0.232598i
$167$	14.7530	+	3.95305i	1.14162	+	0.305896i	0.779602	−	0.626276i	$-0.215422\pi$
$167$	14.7530	+	3.95305i	1.14162	+	0.305896i	0.362017	+	0.932171i	$0.382088\pi$
$168$	1.26290	+	0.722156i	0.0974345	+	0.0557155i
$169$	−10.4142	−	6.01263i	−0.801091	−	0.462510i
$170$	0.0535141	−	1.25399i	0.00410435	−	0.0961769i
$171$	0.0808523	+	9.73258i	0.00618293	+	0.744269i
$172$	−17.3083	−	17.3083i	−1.31974	−	1.31974i
$173$	5.06751	−	1.35783i	0.385275	−	0.103234i	−0.0609820	−	0.998139i	$-0.519423\pi$
$173$	5.06751	−	1.35783i	0.385275	−	0.103234i	0.446257	+	0.894905i	$0.352757\pi$
$174$	−3.15743	−	0.831991i	−0.239364	−	0.0630731i
$175$	1.70085	−	4.70182i	0.128572	−	0.355424i
$176$	−6.05855	+	3.49790i	−0.456680	+	0.263664i
$177$	−8.32589	−	14.2835i	−0.625812	−	1.07361i
$178$	−0.00161915	−	0.00604276i	−0.000121361	−	0.000452924i
$179$	18.3877			1.37436			0.687181	−	0.726486i	$-0.258848\pi$
$179$	18.3877			1.37436			0.687181	+	0.726486i	$0.258848\pi$
$180$	−11.1251	−	6.94300i	−0.829216	−	0.517501i
$181$	−16.4856			−1.22536			−0.612681	−	0.790330i	$-0.709909\pi$
$181$	−16.4856			−1.22536			−0.612681	+	0.790330i	$0.709909\pi$
$182$	0.0542680	+	0.202531i	0.00402261	+	0.0150126i
$183$	1.96496	−	3.43630i	0.145254	−	0.254019i
$184$	3.86446	−	2.23115i	0.284892	−	0.164482i
$185$	3.41921	−	10.8817i	0.251385	−	0.800036i
$186$	2.30220	−	2.32141i	0.168806	−	0.170214i
$187$	4.78640	−	1.28251i	0.350016	−	0.0937866i
$188$	7.86755	+	7.86755i	0.573800	+	0.573800i
$189$	−5.00195	+	1.40730i	−0.363838	+	0.102366i
$190$	−1.04198	−	1.13488i	−0.0755933	−	0.0823328i
$191$	18.4736	+	10.6657i	1.33670	+	0.771746i	0.986317	−	0.164859i	$-0.0527170\pi$
$191$	18.4736	+	10.6657i	1.33670	+	0.771746i	0.350386	+	0.936605i	$0.386050\pi$
$192$	−0.0499119	−	12.0165i	−0.00360208	−	0.867214i
$193$	1.90991	+	0.511759i	0.137478	+	0.0368372i	0.326902	−	0.945058i	$-0.393995\pi$
$193$	1.90991	+	0.511759i	0.137478	+	0.0368372i	−0.189424	+	0.981895i	$0.560662\pi$
$194$	1.03183	+	1.78718i	0.0740808	+	0.128312i
$195$	−0.846778	−	3.72880i	−0.0606390	−	0.267025i
$196$	0.977448	−	1.69299i	0.0698177	−	0.120928i
$197$	13.6717	−	13.6717i	0.974067	−	0.974067i	−0.0256050	−	0.999672i	$-0.508151\pi$
$197$	13.6717	−	13.6717i	0.974067	−	0.974067i	0.999672	+	0.0256050i	$0.00815122\pi$
$198$	−0.299567	+	1.15634i	−0.0212893	+	0.0821773i
$199$			26.1531i			1.85395i	0.375127	+	0.926973i	$0.377599\pi$
$199$			26.1531i			1.85395i	−0.375127	+	0.926973i	$0.622401\pi$
$200$	4.13437	−	0.737395i	0.292344	−	0.0521417i
$201$	−4.58676	+	17.4069i	−0.323525	+	1.22779i
$202$	0.0924135	−	0.344892i	0.00650219	−	0.0242665i
$203$	−2.29743	+	8.57413i	−0.161248	+	0.601786i
$204$	−2.28030	+	8.65383i	−0.159653	+	0.605889i
$205$	8.54719	+	5.43334i	0.596962	+	0.379481i
$206$			0.914906i			0.0637445i
$207$	−3.99709	+	15.4289i	−0.277817	+	1.07238i
$208$	2.60496	−	2.60496i	0.180622	−	0.180622i
$209$	3.04128	−	5.26765i	0.210370	−	0.364371i
$210$	0.438373	−	0.695974i	0.0302506	−	0.0480267i
$211$	−8.54550	−	14.8012i	−0.588296	−	1.01896i	−0.994456	−	0.105157i	$-0.966465\pi$
$211$	−8.54550	−	14.8012i	−0.588296	−	1.01896i	0.406159	−	0.913802i	$-0.366868\pi$
$212$	13.9868	+	3.74776i	0.960619	+	0.257397i
$213$	0.0217226	+	5.22979i	0.00148841	+	0.358339i
$214$	1.39433	+	0.805019i	0.0953147	+	0.0550300i
$215$	−20.6238	+	18.9356i	−1.40653	+	1.29140i
$216$	−3.12429	−	3.04738i	−0.212581	−	0.207348i
$217$	−6.28478	−	6.28478i	−0.426638	−	0.426638i
$218$	−1.95046	+	0.522625i	−0.132102	+	0.0353967i
$219$	−7.93432	+	8.00051i	−0.536152	+	0.540624i
$220$	3.79139	+	7.26573i	0.255616	+	0.489856i
$221$	−2.25982	+	1.30471i	−0.152012	+	0.0877642i
$222$	0.931434	−	1.62888i	0.0625138	−	0.109323i
$223$	−6.62681	−	24.7316i	−0.443764	−	1.65615i	−0.719180	−	0.694824i	$-0.755482\pi$
$223$	−6.62681	−	24.7316i	−0.443764	−	1.65615i	0.275416	−	0.961325i	$-0.411185\pi$
$224$	2.47231			0.165188
$225$	−8.47694	+	12.3750i	−0.565129	+	0.825002i
$226$	−2.23597			−0.148735
$227$	2.43043	+	9.07050i	0.161313	+	0.602030i	0.998482	+	0.0550846i	$0.0175428\pi$
$227$	2.43043	+	9.07050i	0.161313	+	0.602030i	−0.837168	+	0.546945i	$0.815790\pi$
$228$	5.53204	+	9.49052i	0.366368	+	0.628525i
$229$	−2.80858	+	1.62154i	−0.185596	+	0.107154i	−0.589919	−	0.807462i	$-0.700841\pi$
$229$	−2.80858	+	1.62154i	−0.185596	+	0.107154i	0.404323	+	0.914616i	$0.367507\pi$
$230$	−1.16717	−	2.23673i	−0.0769609	−	0.147486i
$231$	3.14013	+	0.827433i	0.206606	+	0.0544411i
$232$	−7.20161	+	1.92967i	−0.472809	+	0.126689i
$233$	−6.94816	−	6.94816i	−0.455189	−	0.455189i	0.441883	−	0.897073i	$-0.354311\pi$
$233$	−6.94816	−	6.94816i	−0.455189	−	0.455189i	−0.897073	+	0.441883i	$0.854311\pi$
$234$	−0.00522538	−	0.629004i	−0.000341594	−	0.0411193i
$235$	9.37464	−	8.60727i	0.611534	−	0.561476i
$236$	−16.1601	−	9.33005i	−1.05193	−	0.607335i
$237$	−3.48458	−	1.99257i	−0.226348	−	0.129431i
$238$	−0.542187	−	0.145279i	−0.0351448	−	0.00941701i
$239$	13.8090	+	23.9178i	0.893227	+	1.54711i	0.835984	+	0.548755i	$0.184898\pi$
$239$	13.8090	+	23.9178i	0.893227	+	1.54711i	0.0572436	+	0.998360i	$0.481769\pi$
$240$	−14.4410	−	0.556188i	−0.932162	−	0.0359018i
$241$	10.9349	−	18.9399i	0.704381	−	1.22002i	−0.262533	−	0.964923i	$-0.584558\pi$
$241$	10.9349	−	18.9399i	0.704381	−	1.22002i	0.966914	−	0.255101i	$-0.0821088\pi$
$242$	−1.12403	+	1.12403i	−0.0722557	+	0.0722557i
$243$	15.5851	−	0.323718i	0.999784	−	0.0207665i
$244$		−	4.46773i		−	0.286017i
$245$	−1.88706	−	1.19958i	−0.120560	−	0.0766385i
$246$	1.18300	+	1.17321i	0.0754251	+	0.0748012i
$247$	−0.829012	+	3.09391i	−0.0527487	+	0.196861i
$248$	1.93215	−	7.21088i	0.122692	−	0.457891i
$249$	−27.2296	+	7.41751i	−1.72561	+	0.470066i
$250$	−0.316874	−	2.35319i	−0.0200409	−	0.148829i
$251$		−	1.55690i		−	0.0982705i	−0.998792	−	0.0491352i	$-0.984353\pi$
$251$		−	1.55690i		−	0.0982705i	0.998792	−	0.0491352i	$-0.0156465\pi$
$252$	−4.11237	+	4.18127i	−0.259055	+	0.263395i
$253$	7.04317	−	7.04317i	0.442800	−	0.442800i
$254$	−1.17086	+	2.02799i	−0.0734663	+	0.127247i
$255$	9.77830	+	3.02794i	0.612341	+	0.189617i
$256$	−6.25625	−	10.8362i	−0.391016	−	0.677259i
$257$	13.0159	+	3.48761i	0.811912	+	0.217551i	0.640808	−	0.767702i	$-0.278600\pi$
$257$	13.0159	+	3.48761i	0.811912	+	0.217551i	0.171105	+	0.985253i	$0.445266\pi$
$258$	−3.97919	+	2.31947i	−0.247733	+	0.144404i
$259$	−4.41761	−	2.55051i	−0.274497	−	0.158481i
$260$	−2.91878	−	3.17900i	−0.181015	−	0.197153i
$261$	13.1228	−	23.1719i	0.812284	−	1.43430i
$262$	0.616420	+	0.616420i	0.0380826	+	0.0380826i
$263$	−6.68696	+	1.79176i	−0.412335	+	0.110485i	−0.459023	−	0.888425i	$-0.651800\pi$
$263$	−6.68696	+	1.79176i	−0.412335	+	0.110485i	0.0466871	+	0.998910i	$0.485134\pi$
$264$	0.716866	+	2.63161i	0.0441200	+	0.161964i
$265$	4.96501	−	15.8012i	0.304998	−	0.970661i
$266$	−0.596701	+	0.344505i	−0.0365861	+	0.0211230i
$267$	0.0510204		0.000211920i	0.00312240		1.29693e-5i
$268$	5.25845	+	19.6248i	0.321211	+	1.19878i
$269$	−14.3954			−0.877701			−0.438850	−	0.898560i	$-0.644614\pi$
$269$	−14.3954			−0.877701			−0.438850	+	0.898560i	$0.644614\pi$
$270$	−1.79671	+	1.69138i	−0.109345	+	0.102934i
$271$	7.04928			0.428213			0.214107	−	0.976810i	$-0.431316\pi$
$271$	7.04928			0.428213			0.214107	+	0.976810i	$0.431316\pi$
$272$	2.55253	+	9.52617i	0.154770	+	0.577609i
$273$	−1.71001	+	0.00710276i	−0.103495	+	0.000429878i
$274$	0.685129	−	0.395560i	0.0413902	−	0.0238966i
$275$	8.48810	−	3.97842i	0.511852	−	0.239908i
$276$	4.72799	+	17.3564i	0.284591	+	1.04473i
$277$	−22.7686	+	6.10083i	−1.36803	+	0.366563i	−0.866760	−	0.498725i	$-0.833802\pi$
$277$	−22.7686	+	6.10083i	−1.36803	+	0.366563i	−0.501274	+	0.865289i	$0.667135\pi$
$278$	−0.980728	−	0.980728i	−0.0588201	−	0.0588201i
$279$	13.5234	+	22.9802i	0.809624	+	1.37579i
$280$	0.0800761	−	1.87642i	0.00478546	−	0.112137i
$281$	−0.189651	−	0.109495i	−0.0113136	−	0.00653191i	0.494333	−	0.869273i	$-0.335413\pi$
$281$	−0.189651	−	0.109495i	−0.0113136	−	0.00653191i	−0.505646	+	0.862741i	$0.668746\pi$
$282$	1.80876	−	1.05433i	0.107710	−	0.0627843i
$283$	3.25206	+	0.871388i	0.193315	+	0.0517986i	0.354178	−	0.935178i	$-0.384761\pi$
$283$	3.25206	+	0.871388i	0.193315	+	0.0517986i	−0.160862	+	0.986977i	$0.551428\pi$
$284$	2.95135	+	5.11190i	0.175131	+	0.303335i
$285$	11.1155	−	5.85912i	0.658423	−	0.347064i
$286$	−0.196554	+	0.340441i	−0.0116225	+	0.0201307i
$287$	3.20274	−	3.20274i	0.189052	−	0.189052i
$288$	−7.17990	−	1.86006i	−0.423079	−	0.109605i
$289$			10.0144i			0.589084i
$290$	0.916423	+	4.11455i	0.0538142	+	0.241615i
$291$	−16.2386	+	4.42350i	−0.951925	+	0.259310i
$292$	−3.29151	+	12.2841i	−0.192621	+	0.718872i
$293$	5.64512	−	21.0679i	0.329791	−	1.23080i	−0.579616	−	0.814890i	$-0.696797\pi$
$293$	5.64512	−	21.0679i	0.329791	−	1.23080i	0.909407	−	0.415907i	$-0.136536\pi$
$294$	−0.261184	−	0.259023i	−0.0152326	−	0.0151065i
$295$	−11.4504	+	18.0126i	−0.666668	+	1.04873i
$296$		−	4.28446i		−	0.249029i
$297$	−8.49682	−	4.76548i	−0.493036	−	0.276521i
$298$	−1.26610	+	1.26610i	−0.0733431	+	0.0733431i
$299$	−2.62260	+	4.54247i	−0.151669	+	0.262698i
$300$	−1.37226	+	16.8742i	−0.0792276	+	0.974232i
$301$	6.26059	+	10.8437i	0.360854	+	0.625018i
$302$	−3.16316	−	0.847566i	−0.182019	−	0.0487719i
$303$	2.52792	+	1.44553i	0.145225	+	0.0830433i
$304$	10.4840	+	6.05292i	0.601297	+	0.347159i
$305$	−5.10568	−	0.217885i	−0.292350	−	0.0124760i
$306$	1.46528	+	0.829826i	0.0837644	+	0.0474380i
$307$	7.17575	+	7.17575i	0.409542	+	0.409542i	0.881579	−	0.472037i	$-0.156481\pi$
$307$	7.17575	+	7.17575i	0.409542	+	0.409542i	−0.472037	+	0.881579i	$0.656481\pi$
$308$	3.54023	−	0.948603i	0.201724	−	0.0540517i
$309$	−7.21532	−	1.90125i	−0.410465	−	0.108159i
$310$	−4.02669	−	1.26526i	−0.228701	−	0.0718617i
$311$	−27.0306	+	15.6062i	−1.53277	+	0.884944i	−0.533535	+	0.845778i	$0.679137\pi$
$311$	−27.0306	+	15.6062i	−1.53277	+	0.884944i	−0.999233	+	0.0391656i	$0.987530\pi$
$312$	−0.723307	−	1.24087i	−0.0409492	−	0.0702506i
$313$	−5.26698	−	19.6567i	−0.297708	−	1.11106i	−0.939043	−	0.343799i	$-0.888286\pi$
$313$	−5.26698	−	19.6567i	−0.297708	−	1.11106i	0.641336	−	0.767260i	$-0.278381\pi$
$314$	−0.741421			−0.0418408
$315$	4.57775	+	4.90349i	0.257927	+	0.276280i
$316$	−4.53051			−0.254861
$317$	−2.87597	−	10.7333i	−0.161531	−	0.602841i	−0.998457	−	0.0555256i	$-0.982317\pi$
$317$	−2.87597	−	10.7333i	−0.161531	−	0.602841i	0.836927	−	0.547315i	$-0.184350\pi$
$318$	1.35253	−	2.36529i	0.0758461	−	0.132639i
$319$	−14.4126	+	8.32110i	−0.806949	+	0.465892i
$320$	−13.7534	+	7.17680i	−0.768840	+	0.401195i
$321$	−9.24625	+	9.32338i	−0.516076	+	0.520381i
$322$	−1.08985	+	0.292025i	−0.0607350	+	0.0162739i
$323$	−6.06328	−	6.06328i	−0.337370	−	0.337370i
$324$	15.0887	−	9.04896i	0.838259	−	0.502720i
$325$	−3.77527	+	3.18051i	−0.209414	+	0.176423i
$326$	−1.08641	−	0.627242i	−0.0601710	−	0.0347397i
$327$	−0.0684028	−	16.4682i	−0.00378268	−	0.910695i
$328$	3.67469	+	0.984630i	0.202901	+	0.0543671i
$329$	−2.84578	−	4.92903i	−0.156893	−	0.271746i
$330$	1.50382	−	0.341504i	0.0827825	−	0.0187992i
$331$	−11.2743	+	19.5277i	−0.619694	+	1.07334i	0.369848	+	0.929092i	$0.379410\pi$
$331$	−11.2743	+	19.5277i	−0.619694	+	1.07334i	−0.989541	+	0.144249i	$0.953923\pi$
$332$	−22.5234	+	22.5234i	−1.23613	+	1.23613i
$333$	10.9104	+	10.7306i	0.597886	+	0.588034i
$334$		−	3.24370i		−	0.177487i
$335$	22.6835	−	5.05223i	1.23933	−	0.276033i
$336$	−1.64680	+	6.24967i	−0.0898405	+	0.340948i
$337$	3.44216	−	12.8463i	0.187506	−	0.699784i	−0.806574	−	0.591134i	$-0.798681\pi$
$337$	3.44216	−	12.8463i	0.187506	−	0.699784i	0.994080	−	0.108650i	$-0.0346528\pi$
$338$	−0.660991	+	2.46685i	−0.0359532	+	0.134179i
$339$	4.64655	−	17.6338i	0.252366	−	0.957737i
$340$	11.2771	−	2.51171i	0.611585	−	0.136217i
$341$		−	16.6636i		−	0.902385i
$342$	1.99209	−	0.551555i	0.107720	−	0.0298247i
$343$	−0.707107	+	0.707107i	−0.0381802	+	0.0381802i
$344$	−5.25841	+	9.10784i	−0.283515	+	0.491062i
$345$	20.0653	−	4.55665i	1.08028	−	0.245322i
$346$	−0.557090	−	0.964907i	−0.0299493	−	0.0518737i
$347$	10.9335	+	2.92963i	0.586942	+	0.157271i	0.540055	−	0.841630i	$-0.318403\pi$
$347$	10.9335	+	2.92963i	0.586942	+	0.157271i	0.0468867	+	0.998900i	$0.485070\pi$
$348$	−0.124840	−	30.0557i	−0.00669213	−	1.61115i
$349$	−6.04012	−	3.48726i	−0.323320	−	0.186669i	0.329551	−	0.944138i	$-0.393103\pi$
$349$	−6.04012	−	3.48726i	−0.323320	−	0.186669i	−0.652872	+	0.757469i	$0.726436\pi$
$350$	−1.05802	−	0.0904665i	−0.0565534	−	0.00483564i
$351$	4.97144	+	1.26592i	0.265356	+	0.0675696i
$352$	3.27757	+	3.27757i	0.174695	+	0.174695i
$353$	−17.9136	+	4.79993i	−0.953443	+	0.255474i	−0.701823	−	0.712352i	$-0.747630\pi$
$353$	−17.9136	+	4.79993i	−0.953443	+	0.255474i	−0.251620	+	0.967826i	$0.580963\pi$
$354$	−2.47246	+	2.49308i	−0.131410	+	0.132506i
$355$	5.98575	−	3.12348i	0.317691	−	0.165777i
$356$	0.0498703	−	0.0287926i	0.00264312	−	0.00152600i
$357$	2.27244	−	3.97401i	0.120270	−	0.210327i
$358$	−1.01071	−	3.77204i	−0.0534179	−	0.199358i
$359$	−25.7207			−1.35748			−0.678742	−	0.734377i	$-0.737475\pi$
$359$	−25.7207			−1.35748			−0.678742	+	0.734377i	$0.737475\pi$
$360$	−1.64429	+	5.38911i	−0.0866617	+	0.284031i
$361$	8.47449			0.446026
$362$	0.906159	+	3.38183i	0.0476267	+	0.177745i
$363$	−6.52875	−	11.2004i	−0.342671	−	0.587870i
$364$	−1.67146	+	0.965021i	−0.0876086	+	0.0505808i
$365$	13.8776	+	4.36058i	0.726387	+	0.228243i
$366$	−0.812927	−	0.214208i	−0.0424924	−	0.0111968i
$367$	18.8812	−	5.05921i	0.985591	−	0.264088i	0.270194	−	0.962806i	$-0.412912\pi$
$367$	18.8812	−	5.05921i	0.985591	−	0.264088i	0.715398	+	0.698718i	$0.246246\pi$
$368$	14.0177	+	14.0177i	0.730724	+	0.730724i
$369$	−11.7108	+	6.89157i	−0.609639	+	0.358761i
$370$	−2.42020	−	0.103282i	−0.125820	−	0.00536937i
$371$	−6.41478	−	3.70358i	−0.333039	−	0.192280i
$372$	26.1250	+	14.9389i	1.35452	+	0.774548i
$373$	10.3186	+	2.76486i	0.534277	+	0.143159i	0.515862	−	0.856671i	$-0.327472\pi$
$373$	10.3186	+	2.76486i	0.534277	+	0.143159i	0.0184143	+	0.999830i	$0.494138\pi$
$374$	−0.526187	−	0.911382i	−0.0272085	−	0.0471264i
$375$	19.2167	+	2.39114i	0.992347	+	0.123478i
$376$	2.39023	−	4.14001i	0.123267	−	0.213505i
$377$	6.19689	−	6.19689i	0.319156	−	0.319156i
$378$	0.563633	+	0.948740i	0.0289902	+	0.0487979i
$379$			28.5085i			1.46438i	0.681098	+	0.732192i	$0.261503\pi$
$379$			28.5085i			1.46438i	−0.681098	+	0.732192i	$0.738497\pi$
$380$	7.60808	−	11.9683i	0.390286	−	0.613960i
$381$	−13.5604	−	13.4482i	−0.694720	−	0.688973i
$382$	1.17252	−	4.37592i	0.0599915	−	0.223891i
$383$	8.41663	−	31.4113i	0.430070	−	1.60504i	−0.322527	−	0.946560i	$-0.604532\pi$
$383$	8.41663	−	31.4113i	0.430070	−	1.60504i	0.752596	−	0.658482i	$-0.228801\pi$
$384$	−10.7255	+	2.92170i	−0.547335	+	0.149097i
$385$	−0.911401	−	4.09200i	−0.0464493	−	0.208548i
$386$		−	0.419927i		−	0.0213737i
$387$	−10.0232	−	36.2016i	−0.509509	−	1.84023i
$388$	−13.4320	+	13.4320i	−0.681907	+	0.681907i
$389$	6.46724	−	11.2016i	0.327902	−	0.567943i	−0.654193	−	0.756328i	$-0.726992\pi$
$389$	6.46724	−	11.2016i	0.327902	−	0.567943i	0.982095	+	0.188384i	$0.0603250\pi$
$390$	−0.718378	+	0.378668i	−0.0363765	+	0.0191746i
$391$	−7.02085	−	12.1605i	−0.355060	−	0.614981i
$392$	−0.811304	−	0.217388i	−0.0409770	−	0.0109798i
$393$	−6.14232	+	3.58037i	−0.309839	+	0.180606i
$394$	−3.55608	−	2.05311i	−0.179153	−	0.103434i
$395$	−0.220946	+	5.17741i	−0.0111170	+	0.260504i
$396$	−10.9950	+	0.0913396i	−0.552519	+	0.00458999i
$397$	0.251399	+	0.251399i	0.0126174	+	0.0126174i	0.713387	−	0.700770i	$-0.247160\pi$
$397$	0.251399	+	0.251399i	0.0126174	+	0.0126174i	−0.700770	+	0.713387i	$0.747160\pi$
$398$	5.36503	−	1.43756i	0.268925	−	0.0720581i
$399$	−1.47691	−	5.42174i	−0.0739382	−	0.271426i
$400$	7.91808	+	16.8935i	0.395904	+	0.844675i
$401$	−14.2200	+	8.20992i	−0.710113	+	0.409984i	−0.811103	−	0.584904i	$-0.801132\pi$
$401$	−14.2200	+	8.20992i	−0.710113	+	0.409984i	0.100990	+	0.994887i	$0.467799\pi$
$402$	3.82296	−	0.0158791i	0.190672	−	0.000791978i
$403$	2.27114	+	8.47601i	0.113134	+	0.422220i
$404$	3.28669			0.163519
$405$	−9.60520	−	17.6845i	−0.477286	−	0.878748i
$406$	1.88517			0.0935594
$407$	−2.47524	−	9.23772i	−0.122693	−	0.457897i
$408$	3.84501	−	0.0159707i	0.190356	−	0.000790668i
$409$	−20.2373	+	11.6840i	−1.00067	+	0.577737i	−0.908446	−	0.418002i	$-0.862731\pi$
$409$	−20.2373	+	11.6840i	−1.00067	+	0.577737i	−0.0922230	+	0.995738i	$0.529397\pi$
$410$	0.644778	−	2.05202i	0.0318433	−	0.101342i
$411$	1.69579	+	6.22522i	0.0836470	+	0.307067i
$412$	−8.13466	+	2.17968i	−0.400766	+	0.107385i
$413$	6.74956	+	6.74956i	0.332124	+	0.332124i
$414$	3.38477	−	0.0281186i	0.166353	−	0.00138196i
$415$	24.6410	+	26.8379i	1.20958	+	1.31742i
$416$	−2.11386	−	1.22044i	−0.103640	−	0.0598368i
$417$	9.77246	−	5.69638i	0.478559	−	0.278953i
$418$	−1.24777	−	0.334339i	−0.0610304	−	0.0163530i
$419$	0.164739	+	0.285335i	0.00804800	+	0.0139396i	0.870021	−	0.493014i	$-0.164105\pi$
$419$	0.164739	+	0.285335i	0.00804800	+	0.0139396i	−0.861973	+	0.506954i	$0.830772\pi$
$420$	7.23246	+	2.23960i	0.352908	+	0.109281i
$421$	−11.9176	+	20.6418i	−0.580827	+	1.00602i	0.414555	+	0.910024i	$0.363937\pi$
$421$	−11.9176	+	20.6418i	−0.580827	+	1.00602i	−0.995382	+	0.0959972i	$0.969396\pi$
$422$	−2.56659	+	2.56659i	−0.124940	+	0.124940i
$423$	4.55610	+	16.4556i	0.221525	+	0.800098i
$424$		−	6.22144i		−	0.302140i
$425$	−2.32039	−	13.0098i	−0.112556	−	0.631068i
$426$	1.07164	−	0.291921i	0.0519211	−	0.0141436i
$427$	−0.591507	+	2.20753i	−0.0286250	+	0.106830i
$428$	−3.83576	+	14.3153i	−0.185409	+	0.691954i
$429$	−2.27640	−	2.25757i	−0.109906	−	0.108997i
$430$	5.01806	+	3.18992i	0.241992	+	0.153831i
$431$			13.4551i			0.648107i	0.946039	+	0.324054i	$0.105046\pi$
$431$			13.4551i			0.648107i	−0.946039	+	0.324054i	$0.894954\pi$
$432$	9.48452	−	16.9109i	0.456324	−	0.813624i
$433$	13.4014	−	13.4014i	0.644031	−	0.644031i	−0.307513	−	0.951544i	$-0.599497\pi$
$433$	13.4014	−	13.4014i	0.644031	−	0.644031i	0.951544	+	0.307513i	$0.0994968\pi$
$434$	−0.943798	+	1.63471i	−0.0453038	+	0.0784684i
$435$	−34.3534	−	1.32311i	−1.64712	−	0.0634381i
$436$	−9.29359	−	16.0970i	−0.445082	−	0.770905i
$437$	−16.6488	−	4.46105i	−0.796422	−	0.213401i
$438$	2.07734	+	1.18788i	0.0992592	+	0.0567589i
$439$	27.5029	+	15.8788i	1.31264	+	0.757855i	0.982533	−	0.186087i	$-0.0595807\pi$
$439$	27.5029	+	15.8788i	1.31264	+	0.757855i	0.330110	+	0.943942i	$0.392914\pi$
$440$	2.59375	−	2.38143i	0.123652	−	0.113530i
$441$	2.58553	−	1.52153i	0.123120	−	0.0724538i
$442$	0.391862	+	0.391862i	0.0186390	+	0.0186390i
$443$	−14.3992	+	3.85826i	−0.684127	+	0.183311i	−0.584110	−	0.811674i	$-0.698556\pi$
$443$	−14.3992	+	3.85826i	−0.684127	+	0.183311i	−0.100017	+	0.994986i	$0.531890\pi$
$444$	16.7018	+	4.40097i	0.792634	+	0.208861i
$445$	−0.0304718	−	0.0583954i	−0.00144450	−	0.00276821i
$446$	−4.70916	+	2.71883i	−0.222985	+	0.128741i
$447$	−7.35390	−	12.6160i	−0.347828	−	0.596718i
$448$	1.79563	+	6.70137i	0.0848354	+	0.316610i
$449$	41.2558			1.94698			0.973492	−	0.228722i	$-0.0734547\pi$
$449$	41.2558			1.94698			0.973492	+	0.228722i	$0.0734547\pi$
$450$	3.00455	+	1.05873i	0.141636	+	0.0499092i
$451$	8.49184			0.399865
$452$	−5.32699	−	19.8806i	−0.250561	−	0.935105i
$453$	13.2576	−	23.1846i	0.622895	−	1.08931i
$454$	1.72712	−	0.997153i	0.0810577	−	0.0467987i
$455$	1.02130	+	1.95719i	0.0478793	+	0.0917547i
$456$	3.32350	−	3.35122i	0.155637	−	0.156935i
$457$	−34.9823	+	9.37347i	−1.63640	+	0.438472i	−0.955761	−	0.294145i	$-0.904965\pi$
$457$	−34.9823	+	9.37347i	−1.63640	+	0.438472i	−0.680640	+	0.732618i	$0.738298\pi$
$458$	0.487019	+	0.487019i	0.0227569	+	0.0227569i
$459$	−9.58933	+	9.83134i	−0.447591	+	0.458887i
$460$	17.1067	−	15.7064i	0.797605	−	0.732315i
$461$	14.0833	+	8.13101i	0.655926	+	0.378699i	0.790723	−	0.612174i	$-0.209705\pi$
$461$	14.0833	+	8.13101i	0.655926	+	0.378699i	−0.134797	+	0.990873i	$0.543038\pi$
$462$	−0.00286453	−	0.689645i	−0.000133270	−	0.0320852i
$463$	−5.44353	−	1.45859i	−0.252982	−	0.0677864i	0.130099	−	0.991501i	$-0.458470\pi$
$463$	−5.44353	−	1.45859i	−0.252982	−	0.0677864i	−0.383081	+	0.923715i	$0.625137\pi$
$464$	−16.5611	−	28.6847i	−0.768830	−	1.33165i
$465$	18.3461	−	29.1268i	0.850782	−	1.35072i
$466$	−1.04342	+	1.80726i	−0.0483355	+	0.0837196i
$467$	5.53279	−	5.53279i	0.256027	−	0.256027i	−0.567409	−	0.823436i	$-0.692054\pi$
$467$	5.53279	−	5.53279i	0.256027	−	0.256027i	0.823436	+	0.567409i	$0.192054\pi$
$468$	5.58019	−	1.54500i	0.257944	−	0.0714178i
$469$		−	10.3929i		−	0.479901i
$470$	−2.28098	−	1.44999i	−0.105214	−	0.0668831i
$471$	1.54074	−	5.84715i	0.0709934	−	0.269422i
$472$	−2.07504	+	7.74415i	−0.0955114	+	0.356453i
$473$	−6.07583	+	22.6753i	−0.279367	+	1.04261i
$474$	−0.217218	+	0.824349i	−0.00997715	+	0.0378636i
$475$	−13.3062	−	9.27811i	−0.610529	−	0.425709i
$476$		−	5.16684i		−	0.236822i
$477$	15.8429	+	15.5819i	0.725398	+	0.713445i
$478$	4.14744	−	4.14744i	0.189700	−	0.189700i
$479$	3.69483	−	6.39963i	0.168821	−	0.292406i	−0.769185	−	0.639027i	$-0.779337\pi$
$479$	3.69483	−	6.39963i	0.168821	−	0.292406i	0.938006	+	0.346620i	$0.112671\pi$
$480$	2.12045	+	9.33746i	0.0967851	+	0.426195i
$481$	2.51808	+	4.36144i	0.114815	+	0.198865i
$482$	−4.48637	−	1.20212i	−0.204348	−	0.0547550i
$483$	−0.0382211	−	9.20186i	−0.00173912	−	0.418699i
$484$	−12.6720	−	7.31617i	−0.575999	−	0.332553i
$485$	14.6949	+	16.0050i	0.667261	+	0.726750i
$486$	−0.923070	−	3.17932i	−0.0418713	−	0.144217i
$487$	−3.87225	−	3.87225i	−0.175468	−	0.175468i	0.613909	−	0.789377i	$-0.289596\pi$
$487$	−3.87225	−	3.87225i	−0.175468	−	0.175468i	−0.789377	+	0.613909i	$0.789596\pi$
$488$	−1.85416	+	0.496820i	−0.0839338	+	0.0224900i
$489$	7.20435	−	7.26445i	0.325792	−	0.328510i
$490$	−0.142355	+	0.453047i	−0.00643095	+	0.0204666i
$491$	−25.9658	+	14.9914i	−1.17182	+	0.676551i	−0.954108	−	0.299463i	$-0.903193\pi$
$491$	−25.9658	+	14.9914i	−1.17182	+	0.676551i	−0.217712	+	0.976013i	$0.569859\pi$
$492$	−7.61293	+	13.3134i	−0.343218	+	0.600214i
$493$	6.07216	+	22.6616i	0.273476	+	1.02063i
$494$	0.680250			0.0306059
$495$	−0.431827	+	12.5694i	−0.0194092	+	0.564953i
$496$	33.1649			1.48915
$497$	−0.781491	−	2.91656i	−0.0350546	−	0.130826i
$498$	3.01835	+	5.17814i	0.135255	+	0.232038i
$499$	28.4897	−	16.4486i	1.27538	−	0.736338i	0.299381	−	0.954134i	$-0.403220\pi$
$499$	28.4897	−	16.4486i	1.27538	−	0.736338i	0.975994	+	0.217795i	$0.0698865\pi$
$500$	20.1679	−	8.42367i	0.901936	−	0.376718i
$501$	25.5811	+	6.74068i	1.14288	+	0.301151i
$502$	−0.319380	+	0.0855777i	−0.0142546	+	0.00381952i
$503$	12.6320	+	12.6320i	0.563235	+	0.563235i	0.930225	−	0.366990i	$-0.119612\pi$
$503$	12.6320	+	12.6320i	0.563235	+	0.563235i	−0.366990	+	0.930225i	$0.619612\pi$
$504$	2.19258	+	1.24171i	0.0976651	+	0.0553103i
$505$	0.160287	−	3.75599i	0.00713267	−	0.167139i
$506$	−1.83197	−	1.05769i	−0.0814410	−	0.0470200i
$507$	−18.0810	−	10.3392i	−0.803005	−	0.459179i
$508$	−20.8208	−	5.57892i	−0.923775	−	0.247525i
$509$	−12.6372	−	21.8883i	−0.560134	−	0.970181i	−0.997484	−	0.0708893i	$-0.977416\pi$
$509$	−12.6372	−	21.8883i	−0.560134	−	0.970181i	0.437350	−	0.899291i	$-0.355917\pi$
$510$	0.0836669	−	2.17235i	0.00370483	−	0.0961931i
$511$	3.25271	−	5.63386i	0.143891	−	0.249227i
$512$	−10.9555	+	10.9555i	−0.484169	+	0.484169i
$513$	0.210057	+	16.8566i	0.00927426	+	0.744237i
$514$		−	2.86178i		−	0.126228i
$515$	2.09419	+	9.40250i	0.0922813	+	0.414324i
$516$	−30.1031	−	29.8540i	−1.32521	−	1.31425i
$517$	2.76180	−	10.3072i	0.121464	−	0.453308i
$518$	−0.280387	+	1.04642i	−0.0123195	+	0.0459769i
$519$	8.76733	−	2.38827i	0.384843	−	0.104834i
$520$	−0.994746	+	1.56484i	−0.0436225	+	0.0686226i
$521$		−	35.5345i		−	1.55680i	−0.627771	−	0.778398i	$-0.716033\pi$
$521$		−	35.5345i		−	1.55680i	0.627771	−	0.778398i	$-0.283967\pi$
$522$	−5.47478	−	1.41832i	−0.239624	−	0.0620783i
$523$	5.73370	−	5.73370i	0.250717	−	0.250717i	−0.570547	−	0.821265i	$-0.693269\pi$
$523$	5.73370	−	5.73370i	0.250717	−	0.250717i	0.821265	+	0.570547i	$0.193269\pi$
$524$	−4.01219	+	6.94931i	−0.175273	+	0.303582i
$525$	2.91211	−	8.15596i	0.127095	−	0.355955i
$526$	0.735122	+	1.27327i	0.0320528	+	0.0555171i
$527$	−22.6908	−	6.07998i	−0.988426	−	0.264848i
$528$	−10.4685	+	6.10208i	−0.455581	+	0.265559i
$529$	−4.52520	−	2.61262i	−0.196748	−	0.113592i
$530$	−3.51436	−	0.149975i	−0.152654	−	0.00651450i
$531$	−14.5235	−	24.6797i	−0.630266	−	1.07101i
$532$	−4.48467	−	4.48467i	−0.194435	−	0.194435i
$533$	−4.31940	+	1.15738i	−0.187094	+	0.0501317i
$534$	−0.00284790	−	0.0104546i	−0.000123241	−	0.000452416i
$535$	16.1723	+	5.08160i	0.699188	+	0.219697i
$536$	7.55976	−	4.36463i	0.326532	−	0.188523i
$537$	31.8482	−	0.132285i	1.37435	−	0.00570853i
$538$	0.791268	+	2.95305i	0.0341140	+	0.127315i
$539$	−1.87484			−0.0807551
$540$	−19.3190	−	11.9455i	−0.831358	−	0.514052i
$541$	32.4990			1.39724			0.698620	−	0.715493i	$-0.253798\pi$
$541$	32.4990			1.39724			0.698620	+	0.715493i	$0.253798\pi$
$542$	−0.387477	−	1.44608i	−0.0166435	−	0.0621145i
$543$	−28.5536	+	0.118601i	−1.22535	+	0.00508965i
$544$	5.65893	−	3.26718i	0.242624	−	0.140079i
$545$	−18.8487	+	9.83559i	−0.807389	+	0.421310i
$546$	0.0954511	+	0.350400i	0.00408493	+	0.0149957i
$547$	28.8654	−	7.73445i	1.23419	−	0.330701i	0.417983	−	0.908455i	$-0.362737\pi$
$547$	28.8654	−	7.73445i	1.23419	−	0.330701i	0.816211	+	0.577754i	$0.196071\pi$
$548$	5.14928	+	5.14928i	0.219966	+	0.219966i
$549$	3.37867	−	5.96593i	0.144198	−	0.254620i
$550$	−1.28269	−	1.52256i	−0.0546943	−	0.0649221i
$551$	24.9401	+	14.3992i	1.06248	+	0.613426i
$552$	6.67734	−	3.89223i	0.284206	−	0.165664i
$553$	2.23855	+	0.599818i	0.0951928	+	0.0255068i
$554$	2.50304	+	4.33539i	0.106344	+	0.184193i
$555$	5.84390	−	18.8720i	0.248060	−	0.801073i
$556$	6.38341	−	11.0564i	0.270717	−	0.468895i
$557$	−5.23523	+	5.23523i	−0.221824	+	0.221824i	−0.809266	−	0.587442i	$-0.800135\pi$
$557$	−5.23523	+	5.23523i	−0.221824	+	0.221824i	0.587442	+	0.809266i	$0.300135\pi$
$558$	3.97080	−	4.03732i	0.168097	−	0.170914i
$559$		−	12.3620i		−	0.522856i
$560$	8.14414	−	1.81392i	0.344153	−	0.0766522i
$561$	8.28099	−	2.25579i	0.349624	−	0.0952396i
$562$	−0.0120372	+	0.0449233i	−0.000507757	+	0.00189498i
$563$	−3.96074	+	14.7817i	−0.166925	+	0.622974i	0.830861	+	0.556480i	$0.187848\pi$
$563$	−3.96074	+	14.7817i	−0.166925	+	0.622974i	−0.997787	+	0.0664947i	$0.978818\pi$
$564$	13.6835	+	13.5703i	0.576179	+	0.571412i
$565$	−22.9791	+	5.11808i	−0.966740	+	0.215319i
$566$		−	0.715023i		−	0.0300546i
$567$	−8.65343	+	2.47348i	−0.363410	+	0.103876i
$568$	1.79330	−	1.79330i	0.0752451	−	0.0752451i
$569$	−15.1492	+	26.2391i	−0.635085	+	1.10000i	0.351412	+	0.936221i	$0.385702\pi$
$569$	−15.1492	+	26.2391i	−0.635085	+	1.10000i	−0.986497	+	0.163779i	$0.947632\pi$
$570$	−1.81292	−	1.95816i	−0.0759347	−	0.0820181i
$571$	18.0832	+	31.3210i	0.756758	+	1.31074i	0.944496	+	0.328524i	$0.106551\pi$
$571$	18.0832	+	31.3210i	0.756758	+	1.31074i	−0.187738	+	0.982219i	$0.560116\pi$
$572$	−3.49522	−	0.936542i	−0.146143	−	0.0391588i
$573$	32.0737	+	18.3405i	1.33990	+	0.766187i
$574$	−0.833052	−	0.480963i	−0.0347709	−	0.0200750i
$575$	−17.1148	−	20.3153i	−0.713739	−	0.847208i
$576$	−0.172898	−	20.8126i	−0.00720410	−	0.867191i
$577$	1.52563	+	1.52563i	0.0635127	+	0.0635127i	0.738150	−	0.674637i	$-0.235700\pi$
$577$	1.52563	+	1.52563i	0.0635127	+	0.0635127i	−0.674637	+	0.738150i	$0.735700\pi$
$578$	2.05435	−	0.550462i	0.0854497	−	0.0228962i
$579$	3.31171	+	0.872645i	0.137630	+	0.0362659i
$580$	−34.4002	+	17.9507i	−1.42839	+	0.745361i
$581$	14.1109	−	8.14694i	0.585420	−	0.337992i
$582$	1.80002	+	3.08803i	0.0746131	+	0.128003i
$583$	−3.59428	−	13.4140i	−0.148860	−	0.555553i
$584$	5.46406			0.226104
$585$	−1.49348	−	6.45233i	−0.0617476	−	0.266771i
$586$	−4.63213			−0.191352
$587$	−10.1971	−	38.0562i	−0.420880	−	1.57075i	−0.772758	−	0.634700i	$-0.781124\pi$
$587$	−10.1971	−	38.0562i	−0.420880	−	1.57075i	0.351878	−	0.936046i	$-0.385543\pi$
$588$	1.68080	−	2.93935i	0.0693149	−	0.121217i
$589$	−24.9722	+	14.4177i	−1.02896	+	0.594071i
$590$	4.32448	+	1.35883i	0.178036	+	0.0559420i
$591$	23.5815	−	23.7782i	0.970013	−	0.978105i
$592$	18.3854	−	4.92636i	0.755636	−	0.202472i
$593$	−4.31426	−	4.31426i	−0.177165	−	0.177165i	0.612954	−	0.790119i	$-0.289981\pi$
$593$	−4.31426	−	4.31426i	−0.177165	−	0.177165i	−0.790119	+	0.612954i	$0.789981\pi$
$594$	−0.510541	+	2.00497i	−0.0209478	+	0.0822650i
$595$	−5.90460	−	0.251979i	−0.242065	−	0.0103301i
$596$	−14.2736	−	8.24084i	−0.584668	−	0.337558i
$597$	0.188152	+	45.2982i	0.00770053	+	1.85393i
$598$	1.07599	+	0.288312i	0.0440007	+	0.0117899i
$599$	−10.2689	−	17.7862i	−0.419575	−	0.726725i	0.576322	−	0.817223i	$-0.304488\pi$
$599$	−10.2689	−	17.7862i	−0.419575	−	0.726725i	−0.995897	+	0.0904976i	$0.971154\pi$
$600$	7.15557	−	1.30694i	0.292125	−	0.0533555i
$601$	−16.0517	+	27.8023i	−0.654762	+	1.13408i	0.327192	+	0.944958i	$0.393898\pi$
$601$	−16.0517	+	27.8023i	−0.654762	+	1.13408i	−0.981954	+	0.189122i	$0.939436\pi$
$602$	1.88033	−	1.88033i	0.0766366	−	0.0766366i
$603$	−7.81920	+	30.1824i	−0.318423	+	1.22912i
$604$		−	30.1437i		−	1.22653i
$605$	−8.97884	+	14.1246i	−0.365042	+	0.574247i
$606$	0.157582	−	0.598030i	0.00640134	−	0.0242933i
$607$	−5.99592	+	22.3771i	−0.243367	+	0.908258i	0.730830	+	0.682559i	$0.239133\pi$
$607$	−5.99592	+	22.3771i	−0.243367	+	0.908258i	−0.974197	+	0.225698i	$0.927534\pi$
$608$	2.07597	−	7.74761i	0.0841915	−	0.314207i
$609$	−3.91755	+	14.8672i	−0.158747	+	0.602450i
$610$	0.235946	+	1.05935i	0.00955318	+	0.0428918i
$611$			5.61919i			0.227328i
$612$	−3.88731	+	15.0052i	−0.157135	+	0.606547i
$613$	1.05090	−	1.05090i	0.0424454	−	0.0424454i	−0.685566	−	0.728011i	$-0.740445\pi$
$613$	1.05090	−	1.05090i	0.0424454	−	0.0424454i	0.728011	+	0.685566i	$0.240445\pi$
$614$	1.07760	−	1.86645i	0.0434883	−	0.0753240i
$615$	14.8431	+	9.34925i	0.598533	+	0.376998i
$616$	−0.787361	−	1.36375i	−0.0317237	−	0.0549470i
$617$	−0.672677	−	0.180243i	−0.0270809	−	0.00725632i	0.245253	−	0.969459i	$-0.421129\pi$
$617$	−0.672677	−	0.180243i	−0.0270809	−	0.00725632i	−0.272334	+	0.962203i	$0.587796\pi$
$618$	0.00658204	+	1.58465i	0.000264768	+	0.0637440i
$619$	11.6071	+	6.70136i	0.466529	+	0.269350i	0.714785	−	0.699344i	$-0.246524\pi$
$619$	11.6071	+	6.70136i	0.466529	+	0.269350i	−0.248257	+	0.968694i	$0.579858\pi$
$620$	1.65650	−	38.8167i	0.0665267	−	1.55892i
$621$	−6.81210	+	26.7521i	−0.273360	+	1.07353i
$622$	4.68722	+	4.68722i	0.187940	+	0.187940i
$623$	−0.0284532	+	0.00762401i	−0.00113995	+	0.000305449i
$624$	4.49315	−	4.53063i	0.179870	−	0.181370i
$625$	−8.64291	−	23.4585i	−0.345717	−	0.938339i
$626$	−3.74284	+	2.16093i	−0.149594	+	0.0863680i
$627$	5.22970	−	9.14563i	0.208854	−	0.365241i
$628$	−1.76637	−	6.59216i	−0.0704856	−	0.263056i
$629$	−13.4821			−0.537566
$630$	0.754272	−	1.20860i	0.0300509	−	0.0481520i
$631$	−10.3679			−0.412740			−0.206370	−	0.978474i	$-0.566165\pi$
$631$	−10.3679			−0.412740			−0.206370	+	0.978474i	$0.566165\pi$
$632$	0.503801	+	1.88021i	0.0200401	+	0.0747907i
$633$	−14.9076	−	25.5748i	−0.592524	−	1.01651i
$634$	−2.04373	+	1.17995i	−0.0811669	+	0.0468617i
$635$	−7.39093	+	23.5217i	−0.293300	+	0.933432i
$636$	24.2526	+	6.39062i	0.961679	+	0.253405i
$637$	0.953645	−	0.255528i	0.0377848	−	0.0101244i
$638$	2.49919	+	2.49919i	0.0989441	+	0.0989441i
$639$	0.0752486	+	9.05803i	0.00297679	+	0.358330i
$640$	9.70590	+	10.5712i	0.383659	+	0.417864i
$641$	5.57296	+	3.21755i	0.220119	+	0.127086i	0.606005	−	0.795461i	$-0.292771\pi$
$641$	5.57296	+	3.21755i	0.220119	+	0.127086i	−0.385887	+	0.922546i	$0.626104\pi$
$642$	2.42083	+	1.38429i	0.0955424	+	0.0546336i
$643$	−11.2359	−	3.01064i	−0.443099	−	0.118728i	0.0303697	−	0.999539i	$-0.490332\pi$
$643$	−11.2359	−	3.01064i	−0.443099	−	0.118728i	−0.473468	+	0.880811i	$0.656998\pi$
$644$	−5.19293	−	8.99442i	−0.204630	−	0.354430i
$645$	−35.5849	+	32.9455i	−1.40116	+	1.29723i
$646$	−0.910536	+	1.57709i	−0.0358245	+	0.0620499i
$647$	−29.5745	+	29.5745i	−1.16269	+	1.16269i	−0.178810	+	0.983884i	$0.557225\pi$
$647$	−29.5745	+	29.5745i	−1.16269	+	1.16269i	−0.983884	+	0.178810i	$0.942775\pi$
$648$	−5.43330	−	5.25570i	−0.213440	−	0.206463i
$649$			17.8960i			0.702478i
$650$	0.859962	+	0.599633i	0.0337305	+	0.0235195i
$651$	−10.9307	−	10.8402i	−0.428407	−	0.424863i
$652$	2.98869	−	11.1539i	0.117046	−	0.436822i
$653$	−3.63888	+	13.5805i	−0.142400	+	0.531445i	0.857457	+	0.514556i	$0.172043\pi$
$653$	−3.63888	+	13.5805i	−0.142400	+	0.531445i	−0.999857	+	0.0168898i	$0.994624\pi$
$654$	−3.37451	+	0.919238i	−0.131954	+	0.0359451i
$655$	7.74593	+	4.92399i	0.302659	+	0.192396i
$656$			16.9009i			0.659870i
$657$	−13.6850	+	13.9143i	−0.533902	+	0.542847i
$658$	−0.854713	+	0.854713i	−0.0333202	+	0.0333202i
$659$	−17.7880	+	30.8097i	−0.692921	+	1.20017i	0.277955	+	0.960594i	$0.410343\pi$
$659$	−17.7880	+	30.8097i	−0.692921	+	1.20017i	−0.970876	+	0.239581i	$0.922990\pi$
$660$	6.61910	+	12.5572i	0.257648	+	0.488790i
$661$	−5.47426	−	9.48170i	−0.212924	−	0.368796i	0.739704	−	0.672932i	$-0.234965\pi$
$661$	−5.47426	−	9.48170i	−0.212924	−	0.368796i	−0.952628	+	0.304137i	$0.901632\pi$
$662$	4.62561	+	1.23943i	0.179780	+	0.0481718i
$663$	−3.90471	+	2.27606i	−0.151646	+	0.0883949i
$664$	11.8521	+	6.84281i	0.459950	+	0.265552i
$665$	−5.34374	+	4.90632i	−0.207221	+	0.190259i
$666$	1.60156	−	2.82798i	0.0620591	−	0.109582i
$667$	33.3465	+	33.3465i	1.29118	+	1.29118i
$668$	28.8405	−	7.72780i	1.11587	−	0.298997i
$669$	−11.6558	−	42.7883i	−0.450639	−	1.65429i
$670$	−2.28325	−	4.37556i	−0.0882096	−	0.169043i
$671$	−3.71072	+	2.14239i	−0.143251	+	0.0827059i
$672$	4.28213	−	0.0177863i	0.165187	−	0.000686123i
$673$	9.10736	+	33.9891i	0.351063	+	1.31019i	0.885367	+	0.464893i	$0.153907\pi$
$673$	9.10736	+	33.9891i	0.351063	+	1.31019i	−0.534304	+	0.845292i	$0.679426\pi$
$674$	−2.82449			−0.108795
$675$	−14.5933	+	21.4950i	−0.561698	+	0.827343i
$676$	−23.5082			−0.904160
$677$	3.68352	+	13.7471i	0.141569	+	0.528343i	0.999884	+	0.0152199i	$0.00484482\pi$
$677$	3.68352	+	13.7471i	0.141569	+	0.528343i	−0.858315	+	0.513123i	$0.828489\pi$
$678$	−3.87279	+	0.0160861i	−0.148733	+	0.000617783i
$679$	8.41517	−	4.85850i	0.322944	−	0.186452i
$680$	−2.29642	−	4.40080i	−0.0880637	−	0.168763i
$681$	4.27485	+	15.6929i	0.163813	+	0.601355i
$682$	−3.41836	+	0.915946i	−0.130896	+	0.0350734i
$683$	3.84388	+	3.84388i	0.147082	+	0.147082i	0.776813	−	0.629731i	$-0.216835\pi$
$683$	3.84388	+	3.84388i	0.147082	+	0.147082i	−0.629731	+	0.776813i	$0.716835\pi$
$684$	9.64997	+	16.3981i	0.368976	+	0.626998i
$685$	6.13566	−	5.63342i	0.234432	−	0.215242i
$686$	0.183923	+	0.106188i	0.00702220	+	0.00405427i
$687$	−4.85290	+	2.82877i	−0.185150	+	0.107924i
$688$	−45.1297	−	12.0925i	−1.72055	−	0.461021i
$689$	3.65649	+	6.33322i	0.139301	+	0.241277i
$690$	−2.03767	−	3.86571i	−0.0775728	−	0.147165i
$691$	−11.3339	+	19.6308i	−0.431160	+	0.746791i	−0.996974	−	0.0777421i	$-0.975229\pi$
$691$	−11.3339	+	19.6308i	−0.431160	+	0.746791i	0.565813	+	0.824533i	$0.308562\pi$
$692$	7.25203	−	7.25203i	0.275681	−	0.275681i
$693$	5.44478	+	1.41055i	0.206830	+	0.0535824i
$694$		−	2.40392i		−	0.0912516i
$695$	−12.3238	−	7.83410i	−0.467469	−	0.297164i
$696$	−12.4596	+	3.39406i	−0.472278	+	0.128651i
$697$	3.09838	−	11.5633i	0.117359	−	0.437991i
$698$	−0.383368	+	1.43075i	−0.0145107	+	0.0541546i
$699$	−12.0845	−	11.9845i	−0.457076	−	0.453295i
$700$	−1.71626	−	9.62263i	−0.0648687	−	0.363701i
$701$			22.6642i			0.856017i	0.903775	+	0.428008i	$0.140785\pi$
$701$			22.6642i			0.856017i	−0.903775	+	0.428008i	$0.859215\pi$
$702$	−0.0135758	−	1.08942i	−0.000512384	−	0.0411175i
$703$	−11.7021	+	11.7021i	−0.441352	+	0.441352i
$704$	−6.50361	+	11.2646i	−0.245114	+	0.424550i
$705$	16.1753	−	14.9755i	0.609197	−	0.564011i
$706$	1.96930	+	3.41094i	0.0741157	+	0.128372i
$707$	−1.62397	−	0.435142i	−0.0610758	−	0.0163652i
$708$	−28.0570	−	16.0437i	−1.05445	−	0.602960i
$709$	5.19189	+	2.99754i	0.194986	+	0.112575i	0.594314	−	0.804233i	$-0.297423\pi$
$709$	5.19189	+	2.99754i	0.194986	+	0.112575i	−0.399329	+	0.916808i	$0.630757\pi$
$710$	−0.969764	−	1.05622i	−0.0363946	−	0.0396394i
$711$	−6.04976	−	3.42614i	−0.226884	−	0.128490i
$712$	−0.0174949	−	0.0174949i	−0.000655649	−	0.000655649i
$713$	−45.6108	+	12.2214i	−1.70814	+	0.457694i
$714$	−0.940133	−	0.247727i	−0.0351836	−	0.00927095i
$715$	−1.24073	+	3.94863i	−0.0464006	+	0.147670i
$716$	31.1302	−	17.9730i	1.16339	−	0.671684i
$717$	24.0897	+	41.3272i	0.899646	+	1.54339i
$718$	1.41378	+	5.27631i	0.0527619	+	0.196910i
$719$	9.96848			0.371761			0.185881	−	0.982572i	$-0.440486\pi$
$719$	9.96848			0.371761			0.185881	+	0.982572i	$0.440486\pi$
$720$	−25.0163	−	0.859446i	−0.932303	−	0.0320297i
$721$	4.30796			0.160437
$722$	−0.465816	−	1.73845i	−0.0173359	−	0.0646984i
$723$	18.8035	−	32.8832i	0.699308	−	1.22294i
$724$	−27.9099	+	16.1138i	−1.03726	+	0.598864i
$725$	18.8362	+	40.1876i	0.699558	+	1.49253i
$726$	−1.93878	+	1.95495i	−0.0719549	+	0.0725552i
$727$	−10.7574	+	2.88243i	−0.398968	+	0.106903i	−0.452724	−	0.891651i	$-0.649548\pi$
$727$	−10.7574	+	2.88243i	−0.398968	+	0.106903i	0.0537552	+	0.998554i	$0.482881\pi$
$728$	0.586364	+	0.586364i	0.0217321	+	0.0217321i
$729$	26.9916	−	0.672813i	0.999689	−	0.0249190i
$730$	0.131717	−	3.08653i	0.00487508	−	0.114237i
$731$	28.6600	+	16.5469i	1.06003	+	0.612008i
$732$	−0.0321419	−	7.73827i	−0.00118800	−	0.286015i
$733$	−26.2658	−	7.03789i	−0.970148	−	0.259950i	−0.261258	−	0.965269i	$-0.584137\pi$
$733$	−26.2658	−	7.03789i	−0.970148	−	0.259950i	−0.708890	+	0.705319i	$0.750804\pi$
$734$	−2.07568	−	3.59518i	−0.0766148	−	0.132701i
$735$	−3.27709	−	2.06414i	−0.120877	−	0.0761371i
$736$	6.56737	−	11.3750i	0.242076	−	0.419289i
$737$	13.7780	−	13.7780i	0.507521	−	0.507521i
$738$	2.05743	+	2.02353i	0.0757352	+	0.0744872i
$739$			8.22065i			0.302402i	0.988503	+	0.151201i	$0.0483140\pi$
$739$			8.22065i			0.302402i	−0.988503	+	0.151201i	$0.951686\pi$
$740$	−4.84758	−	21.7647i	−0.178201	−	0.800085i
$741$	−1.41362	+	5.36473i	−0.0519306	+	0.197078i
$742$	−0.407148	+	1.51950i	−0.0149469	+	0.0557825i
$743$	10.4358	−	38.9470i	0.382853	−	1.42883i	−0.458669	−	0.888607i	$-0.651674\pi$
$743$	10.4358	−	38.9470i	0.382853	−	1.42883i	0.841523	−	0.540222i	$-0.181660\pi$
$744$	3.29467	−	12.5034i	0.120789	−	0.458397i
$745$	−10.1136	+	15.9098i	−0.370535	+	0.582889i
$746$		−	2.26872i		−	0.0830638i
$747$	−47.1093	+	13.0433i	−1.72364	+	0.477229i
$748$	6.84974	−	6.84974i	0.250451	−	0.250451i
$749$	3.79054	−	6.56542i	0.138503	−	0.239895i
$750$	−0.565767	−	4.07353i	−0.0206589	−	0.148744i
$751$	−11.0807	−	19.1923i	−0.404339	−	0.700335i	0.589906	−	0.807472i	$-0.299165\pi$
$751$	−11.0807	−	19.1923i	−0.404339	−	0.700335i	−0.994244	+	0.107137i	$0.965832\pi$
$752$	20.5139	+	5.49668i	0.748065	+	0.200443i
$753$	−0.0112007	−	2.69660i	−0.000408175	−	0.0982696i
$754$	−1.61185	−	0.930601i	−0.0587000	−	0.0338905i
$755$	−34.4479	−	1.47006i	−1.25369	−	0.0535011i
$756$	−7.09269	+	7.27169i	−0.257959	+	0.264469i
$757$	−2.50777	−	2.50777i	−0.0911464	−	0.0911464i	0.660063	−	0.751210i	$-0.270529\pi$
$757$	−2.50777	−	2.50777i	−0.0911464	−	0.0911464i	−0.751210	+	0.660063i	$0.770529\pi$
$758$	5.84821	−	1.56702i	0.212417	−	0.0569168i
$759$	12.1484	−	12.2497i	0.440957	−	0.444636i
$760$	−5.81300	−	1.82654i	−0.210860	−	0.0662557i
$761$	27.6512	−	15.9644i	1.00236	−	0.578710i	0.0934114	−	0.995628i	$-0.470223\pi$
$761$	27.6512	−	15.9644i	1.00236	−	0.578710i	0.908945	+	0.416917i	$0.136889\pi$
$762$	−2.01338	+	3.52097i	−0.0729371	+	0.127551i
$763$	2.46086	+	9.18404i	0.0890889	+	0.332484i
$764$	41.7008			1.50868
$765$	16.9581	+	5.17416i	0.613123	+	0.187072i
$766$	−6.90632			−0.249535
$767$	−2.43910	−	9.10284i	−0.0880708	−	0.328685i
$768$	−10.9140	−	18.7236i	−0.393826	−	0.675629i
$769$	39.7527	−	22.9512i	1.43352	−	0.827642i	0.436131	−	0.899883i	$-0.356348\pi$
$769$	39.7527	−	22.9512i	1.43352	−	0.827642i	0.997387	+	0.0722411i	$0.0230151\pi$
$770$	−0.789333	+	0.411888i	−0.0284456	+	0.0148434i
$771$	22.5692	+	5.94703i	0.812809	+	0.214177i
$772$	3.73368	−	1.00044i	0.134378	−	0.0360065i
$773$	−10.1280	−	10.1280i	−0.364280	−	0.364280i	0.501106	−	0.865386i	$-0.332927\pi$
$773$	−10.1280	−	10.1280i	−0.364280	−	0.364280i	−0.865386	+	0.501106i	$0.832927\pi$
$774$	−6.87541	+	4.04604i	−0.247131	+	0.145432i
$775$	−44.2785	−	3.78606i	−1.59053	−	0.135999i
$776$	7.06809	+	4.08077i	0.253730	+	0.146491i
$777$	−7.66980	−	4.38579i	−0.275153	−	0.157339i
$778$	−2.65337	−	0.710968i	−0.0951278	−	0.0254894i
$779$	−7.34732	−	12.7259i	−0.263245	−	0.455954i
$780$	−5.07830	−	5.48514i	−0.181832	−	0.196400i
$781$	2.83049	−	4.90256i	0.101283	−	0.175427i
$782$	−2.10867	+	2.10867i	−0.0754060	+	0.0754060i
$783$	22.5625	−	40.2289i	0.806319	−	1.43766i
$784$		−	3.73141i		−	0.133265i
$785$	−7.61960	+	1.69709i	−0.271955	+	0.0605718i
$786$	1.07210	+	1.06323i	0.0382404	+	0.0379241i
$787$	−0.762178	+	2.84449i	−0.0271687	+	0.101395i	−0.978179	−	0.207765i	$-0.933381\pi$
$787$	−0.762178	+	2.84449i	−0.0271687	+	0.101395i	0.951010	+	0.309160i	$0.100048\pi$
$788$	9.78266	−	36.5094i	0.348493	−	1.30059i
$789$	−11.5692	+	3.15151i	−0.411873	+	0.112197i
$790$	1.07423	−	0.239261i	0.0382195	−	0.00851254i
$791$			10.5284i			0.374347i
$792$	1.26057	+	4.55288i	0.0447924	+	0.161780i
$793$	1.59548	−	1.59548i	0.0566571	−	0.0566571i
$794$	0.0377532	−	0.0653905i	0.00133981	−	0.00232062i
$795$	8.48590	−	27.4040i	0.300964	−	0.971919i
$796$	25.5633	+	44.2770i	0.906069	+	1.56936i
$797$	41.7587	+	11.1892i	1.47917	+	0.396342i	0.906065	−	0.423140i	$-0.139072\pi$
$797$	41.7587	+	11.1892i	1.47917	+	0.396342i	0.573105	+	0.819482i	$0.305739\pi$
$798$	−1.03103	+	0.600988i	−0.0364980	+	0.0212748i
$799$	−13.0275	−	7.52145i	−0.460881	−	0.266090i
$800$	9.45383	−	7.96447i	0.334243	−	0.281586i
$801$	0.0883677		0.000734105i	0.00312232		2.59383e-5i
$802$	2.46580	+	2.46580i	0.0870705	+	0.0870705i
$803$	11.7810	−	3.15672i	0.415744	−	0.111398i
$804$	9.24901	+	33.9530i	0.326188	+	1.19743i
$805$	−10.5320	+	5.49578i	−0.371204	+	0.193701i
$806$	1.61392	−	0.931799i	0.0568480	−	0.0328212i
$807$	−24.9333	+	0.103563i	−0.877693	+	0.00364561i
$808$	−0.365486	−	1.36401i	−0.0128577	−	0.0479858i
$809$	−28.4088			−0.998800			−0.499400	−	0.866372i	$-0.666446\pi$
$809$	−28.4088			−0.998800			−0.499400	+	0.866372i	$0.666446\pi$
$810$	−3.09980	+	2.94246i	−0.108916	+	0.103388i
$811$	−8.69133			−0.305194			−0.152597	−	0.988289i	$-0.548764\pi$
$811$	−8.69133			−0.305194			−0.152597	+	0.988289i	$0.548764\pi$
$812$	4.49124	+	16.7615i	0.157612	+	0.588214i
$813$	12.2096	−	0.0507141i	0.428210	−	0.00177862i
$814$	−1.75896	+	1.01554i	−0.0616515	+	0.0355945i
$815$	−12.6008	−	3.95940i	−0.441388	−	0.138692i
$816$	4.48960	+	16.4813i	0.157168	+	0.576961i
$817$	39.2383	−	10.5139i	1.37277	−	0.367834i
$818$	3.50922	+	3.50922i	0.122697	+	0.122697i
$819$	−2.96175	+	0.0246045i	−0.103492	+	0.000859749i
$820$	19.7811	+	0.844159i	0.690787	+	0.0294793i
$821$	2.86829	+	1.65601i	0.100104	+	0.0577950i	0.549216	−	0.835680i	$-0.314926\pi$
$821$	2.86829	+	1.65601i	0.100104	+	0.0577950i	−0.449112	+	0.893475i	$0.648260\pi$
$822$	1.18382	−	0.690052i	0.0412906	−	0.0240683i
$823$	36.7858	+	9.85673i	1.28227	+	0.343584i	0.834720	−	0.550674i	$-0.185629\pi$
$823$	36.7858	+	9.85673i	1.28227	+	0.343584i	0.447552	+	0.894258i	$0.352296\pi$
$824$	1.80918	+	3.13359i	0.0630257	+	0.109164i
$825$	14.6731	−	6.95184i	0.510851	−	0.242032i
$826$	1.01360	−	1.75560i	0.0352675	−	0.0610851i
$827$	−13.7254	+	13.7254i	−0.477280	+	0.477280i	−0.904261	−	0.426980i	$-0.859577\pi$
$827$	−13.7254	+	13.7254i	−0.477280	+	0.477280i	0.426980	+	0.904261i	$0.359577\pi$
$828$	8.31391	+	30.0279i	0.288928	+	1.04354i
$829$		−	54.4572i		−	1.89138i	−0.325072	−	0.945689i	$-0.605389\pi$
$829$		−	54.4572i		−	1.89138i	0.325072	−	0.945689i	$-0.394611\pi$
$830$	4.15106	−	6.53003i	0.144085	−	0.226661i
$831$	−39.3922	+	10.7307i	−1.36650	+	0.372243i
$832$	1.77280	−	6.61617i	0.0614607	−	0.229374i
$833$	−0.684065	+	2.55296i	−0.0237014	+	0.0884550i
$834$	−1.70571	−	1.69160i	−0.0590640	−	0.0585753i
$835$	−7.42473	−	33.3355i	−0.256943	−	1.15362i
$836$		−	11.8908i		−	0.411251i
$837$	23.5883	+	39.7052i	0.815332	+	1.37241i
$838$	0.0494783	−	0.0494783i	0.00170920	−	0.00170920i
$839$	12.8251	−	22.2137i	0.442771	−	0.766901i	−0.555123	−	0.831768i	$-0.687329\pi$
$839$	12.8251	−	22.2137i	0.442771	−	0.766901i	0.997894	+	0.0648668i	$0.0206622\pi$
$840$	0.125195	−	3.25060i	0.00431965	−	0.112156i
$841$	−24.8969	−	43.1227i	−0.858514	−	1.48699i
$842$	4.88952	+	1.31014i	0.168504	+	0.0451505i
$843$	−0.329269	−	0.188285i	−0.0113406	−	0.00648486i
$844$	−28.9349	−	16.7056i	−0.995980	−	0.575029i
$845$	−1.14646	+	26.8649i	−0.0394393	+	0.924179i
$846$	3.12525	−	1.83915i	0.107448	−	0.0632311i
$847$	5.29267	+	5.29267i	0.181858	+	0.181858i
$848$	26.6974	−	7.15354i	0.916792	−	0.245654i
$849$	5.63896	+	1.48588i	0.193529	+	0.0509952i
$850$	−2.54127	+	1.19111i	−0.0871650	+	0.0408548i
$851$	−23.4696	+	13.5502i	−0.804528	+	0.464495i
$852$	5.14863	+	8.83275i	0.176389	+	0.302605i
$853$	10.5952	+	39.5418i	0.362772	+	1.35388i	0.870416	+	0.492317i	$0.163850\pi$
$853$	10.5952	+	39.5418i	0.362772	+	1.35388i	−0.507643	+	0.861567i	$0.669483\pi$
$854$	0.485364			0.0166088
$855$	19.2102	−	10.2282i	0.656976	−	0.349796i
$856$	6.36753			0.217638
$857$	−9.77776	−	36.4911i	−0.334002	−	1.24651i	−0.904947	−	0.425524i	$-0.860090\pi$
$857$	−9.77776	−	36.4911i	−0.334002	−	1.24651i	0.570945	−	0.820988i	$-0.306577\pi$
$858$	−0.337989	+	0.591071i	−0.0115388	+	0.0201788i
$859$	29.2749	−	16.9019i	0.998847	−	0.576685i	0.0909400	−	0.995856i	$-0.471013\pi$
$859$	29.2749	−	16.9019i	0.998847	−	0.576685i	0.907907	+	0.419172i	$0.137680\pi$
$860$	−16.4073	+	52.2165i	−0.559485	+	1.78057i
$861$	5.52423	−	5.57031i	0.188265	−	0.189836i
$862$	2.76016	−	0.739582i	0.0940113	−	0.0251903i
$863$	−3.78736	−	3.78736i	−0.128923	−	0.128923i	0.639701	−	0.768624i	$-0.279058\pi$
$863$	−3.78736	−	3.78736i	−0.128923	−	0.128923i	−0.768624	+	0.639701i	$0.779058\pi$
$864$	−12.4492	−	3.17004i	−0.423531	−	0.107847i
$865$	−7.93387	−	8.64121i	−0.269760	−	0.293810i
$866$	−3.48579	−	2.01252i	−0.118452	−	0.0683882i
$867$	0.0720461	+	17.3454i	0.00244681	+	0.589079i
$868$	−16.7831	−	4.49702i	−0.569656	−	0.152639i
$869$	2.17249	+	3.76286i	0.0736966	+	0.127646i
$870$	1.61688	+	7.11995i	0.0548173	+	0.241389i
$871$	−5.13039	+	8.88610i	−0.173837	+	0.301094i
$872$	−5.64696	+	5.64696i	−0.191230	+	0.191230i
$873$	−28.0941	+	7.77848i	−0.950840	+	0.263262i
$874$			3.66054i			0.123820i
$875$	−11.0803	+	1.49205i	−0.374584	+	0.0504404i
$876$	−5.61264	+	21.3002i	−0.189634	+	0.719666i
$877$	11.7177	−	43.7312i	0.395680	−	1.47670i	−0.424938	−	0.905222i	$-0.639704\pi$
$877$	11.7177	−	43.7312i	0.395680	−	1.47670i	0.820619	−	0.571476i	$-0.193629\pi$
$878$	1.74562	−	6.51473i	0.0589117	−	0.219862i
$879$	9.62598	−	36.5309i	0.324676	−	1.23216i
$880$	13.2015	+	8.39204i	0.445023	+	0.282896i
$881$		−	51.7020i		−	1.74188i	−0.491386	−	0.870942i	$-0.663510\pi$
$881$		−	51.7020i		−	1.74188i	0.491386	−	0.870942i	$-0.336490\pi$
$882$	−0.454243	−	0.446758i	−0.0152952	−	0.0150431i
$883$	29.4115	−	29.4115i	0.989775	−	0.989775i	−0.0101730	−	0.999948i	$-0.503238\pi$
$883$	29.4115	−	29.4115i	0.989775	−	0.989775i	0.999948	+	0.0101730i	$0.00323823\pi$
$884$	−2.55057	+	4.41772i	−0.0857850	+	0.148584i
$885$	−19.7029	+	31.2809i	−0.662306	+	1.05149i
$886$	1.58296	+	2.74176i	0.0531805	+	0.0921113i
$887$	50.1580	+	13.4398i	1.68414	+	0.451264i	0.968867	−	0.247581i	$-0.0796356\pi$
$887$	50.1580	+	13.4398i	1.68414	+	0.451264i	0.715273	+	0.698845i	$0.246302\pi$
$888$	−0.0308234	−	7.42084i	−0.00103436	−	0.249027i
$889$	9.54907	+	5.51316i	0.320265	+	0.184905i
$890$	−0.0103042	+	0.00946076i	−0.000345398	+	0.000317125i
$891$	−14.7511	−	8.19285i	−0.494180	−	0.274471i
$892$	−35.3930	−	35.3930i	−1.18504	−	1.18504i
$893$	−17.8359	+	4.77913i	−0.596857	+	0.159927i
$894$	−2.18382	+	2.20204i	−0.0730378	+	0.0736471i
$895$	−19.0212	−	36.4518i	−0.635809	−	1.21845i
$896$	5.55818	−	3.20901i	0.185686	−	0.107206i
$897$	−4.50975	+	7.88659i	−0.150576	+	0.263326i
$898$	−2.26770	−	8.46318i	−0.0756742	−	0.282420i
$899$	78.8953			2.63130
$900$	−2.25541	+	29.2366i	−0.0751804	+	0.974553i
$901$	−19.5773			−0.652214
$902$	−0.466769	−	1.74201i	−0.0155417	−	0.0580025i
$903$	10.9216	+	18.7366i	0.363447	+	0.623514i
$904$	−7.65830	+	4.42152i	−0.254711	+	0.147058i
$905$	17.0535	+	32.6810i	0.566879	+	1.08635i
$906$	−5.48480	−	1.44526i	−0.182220	−	0.0480155i
$907$	12.9187	−	3.46155i	0.428958	−	0.114939i	−0.0378788	−	0.999282i	$-0.512060\pi$
$907$	12.9187	−	3.46155i	0.428958	−	0.114939i	0.466837	+	0.884343i	$0.345393\pi$
$908$	12.9806	+	12.9806i	0.430778	+	0.430778i
$909$	4.38884	+	2.48552i	0.145569	+	0.0824394i
$910$	0.345359	−	0.317089i	0.0114485	−	0.0105114i
$911$	33.9559	+	19.6044i	1.12501	+	0.649523i	0.942675	−	0.333713i	$-0.108302\pi$
$911$	33.9559	+	19.6044i	1.12501	+	0.649523i	0.182333	+	0.983237i	$0.441635\pi$
$912$	18.2022	+	10.4085i	0.602733	+	0.344658i
$913$	29.5075	+	7.90652i	0.976557	+	0.261668i
$914$	3.84573	+	6.66100i	0.127205	+	0.220326i
$915$	−8.84478	−	0.340653i	−0.292399	−	0.0112616i
$916$	−3.16994	+	5.49049i	−0.104738	+	0.181411i
$917$	2.90250	−	2.90250i	0.0958490	−	0.0958490i
$918$	2.54389	+	1.42675i	0.0839607	+	0.0470897i
$919$			2.28895i			0.0755055i	0.999287	+	0.0377528i	$0.0120199\pi$
$919$			2.28895i			0.0755055i	−0.999287	+	0.0377528i	$0.987980\pi$
$920$	−8.42063	−	5.35289i	−0.277620	−	0.176480i
$921$	12.4803	+	12.3770i	0.411239	+	0.407837i
$922$	0.893872	−	3.33598i	0.0294381	−	0.109865i
$923$	−0.771554	+	2.87948i	−0.0253960	+	0.0947793i
$924$	6.12499	−	1.66848i	0.201497	−	0.0548891i
$925$	−25.1088	+	4.47834i	−0.825573	+	0.147247i
$926$			1.19685i			0.0393311i
$927$	−12.5109	−	3.24113i	−0.410911	−	0.106453i
$928$	−15.5179	+	15.5179i	−0.509401	+	0.509401i
$929$	−9.85047	+	17.0615i	−0.323183	+	0.559770i	−0.981143	−	0.193283i	$-0.938086\pi$
$929$	−9.85047	+	17.0615i	−0.323183	+	0.559770i	0.657960	+	0.753053i	$0.271420\pi$
$930$	−6.98348	−	2.16250i	−0.228997	−	0.0709111i
$931$	1.62215	+	2.80965i	0.0531639	+	0.0920825i
$932$	−18.5546	−	4.97170i	−0.607777	−	0.162853i
$933$	−46.7058	+	27.2249i	−1.52908	+	0.891303i
$934$	−1.43911	−	0.830871i	−0.0470891	−	0.0271869i
$935$	−7.49376	−	8.16186i	−0.245072	−	0.266921i
$936$	−1.26172	−	2.14403i	−0.0412406	−	0.0700799i
$937$	35.6061	+	35.6061i	1.16320	+	1.16320i	0.983771	+	0.179429i	$0.0574250\pi$
$937$	35.6061	+	35.6061i	1.16320	+	1.16320i	0.179429	+	0.983771i	$0.442575\pi$
$938$	−2.13199	+	0.571266i	−0.0696121	+	0.0186525i
$939$	−9.26402	−	34.0081i	−0.302320	−	1.10981i
$940$	7.45802	−	23.7352i	0.243254	−	0.774158i
$941$	12.2491	−	7.07204i	0.399311	−	0.230542i	−0.286876	−	0.957968i	$-0.592617\pi$
$941$	12.2491	−	7.07204i	0.399311	−	0.230542i	0.686186	+	0.727426i	$0.259283\pi$
$942$	−1.28417	+	0.00533395i	−0.0418404	+	0.000173789i
$943$	−6.22805	−	23.2434i	−0.202813	−	0.756909i
$944$	−35.6175			−1.15925
$945$	7.96411	+	8.46008i	0.259073	+	0.275206i
$946$	4.98556			0.162095
$947$	−0.738568	−	2.75637i	−0.0240002	−	0.0895701i	0.952887	−	0.303326i	$-0.0980970\pi$
$947$	−0.738568	−	2.75637i	−0.0240002	−	0.0895701i	−0.976887	+	0.213756i	$0.931430\pi$
$948$	−7.84700	+	0.0325935i	−0.254859	+	0.00105859i
$949$	−5.56223	+	3.21136i	−0.180558	+	0.104245i
$950$	−1.17190	+	3.23960i	−0.0380216	+	0.105107i
$951$	−5.05850	−	18.5697i	−0.164033	−	0.602165i
$952$	−2.14429	+	0.574562i	−0.0694970	+	0.0186217i
$953$	−16.4983	−	16.4983i	−0.534433	−	0.534433i	0.387456	−	0.921888i	$-0.373354\pi$
$953$	−16.4983	−	16.4983i	−0.534433	−	0.534433i	−0.921888	+	0.387456i	$0.873354\pi$
$954$	2.32561	−	4.10649i	0.0752945	−	0.132953i
$955$	2.03369	−	47.6553i	0.0658086	−	1.54209i
$956$	46.7569	+	26.9951i	1.51222	+	0.873083i
$957$	−24.9032	+	14.5161i	−0.805006	+	0.469240i
$958$	−1.51591	−	0.406186i	−0.0489767	−	0.0131233i
$959$	−1.86255	−	3.22603i	−0.0601448	−	0.104174i
$960$	−23.7698	+	12.5294i	−0.767167	+	0.404385i
$961$	−23.9984	+	41.5665i	−0.774142	+	1.34085i
$962$	0.756291	−	0.756291i	0.0243838	−	0.0243838i
$963$	−15.9478	+	16.2150i	−0.513910	+	0.522520i
$964$		−	42.7534i		−	1.37699i
$965$	−0.961201	−	4.31560i	−0.0309422	−	0.138924i
$966$	−1.88556	+	0.513638i	−0.0606669	+	0.0165260i
$967$	11.1514	−	41.6174i	0.358603	−	1.33833i	−0.517285	−	0.855813i	$-0.673057\pi$
$967$	11.1514	−	41.6174i	0.358603	−	1.33833i	0.875889	−	0.482513i	$-0.160276\pi$
$968$	−1.62714	+	6.07258i	−0.0522984	+	0.195180i
$969$	−10.5454	−	10.4582i	−0.338768	−	0.335966i
$970$	2.47552	−	3.89424i	0.0794842	−	0.125037i
$971$		−	27.0888i		−	0.869321i	−0.900594	−	0.434660i	$-0.856868\pi$
$971$		−	27.0888i		−	0.869321i	0.900594	−	0.434660i	$-0.143132\pi$
$972$	26.0690	−	15.7817i	0.836163	−	0.506198i
$973$	−4.61789	+	4.61789i	−0.148043	+	0.148043i
$974$	−0.581504	+	1.00719i	−0.0186326	+	0.0322726i
$975$	−6.51602	+	5.53592i	−0.208680	+	0.177291i
$976$	−4.26390	−	7.38529i	−0.136484	−	0.236397i
$977$	−54.4783	−	14.5974i	−1.74292	−	0.467013i	−0.759824	−	0.650129i	$-0.774715\pi$
$977$	−54.4783	−	14.5974i	−1.74292	−	0.467013i	−0.983091	+	0.183116i	$0.941382\pi$
$978$	−1.88622	−	1.07859i	−0.0603147	−	0.0344895i
$979$	−0.0478280	−	0.0276135i	−0.00152859	−	0.000882531i
$980$	−4.36731	−	0.186375i	−0.139508	−	0.00595352i
$981$	−0.236952	−	28.5231i	−0.00756530	−	0.910671i
$982$	4.50257	+	4.50257i	0.143683	+	0.143683i
$983$	−14.5832	+	3.90755i	−0.465131	+	0.124631i	−0.483771	−	0.875195i	$-0.660733\pi$
$983$	−14.5832	+	3.90755i	−0.465131	+	0.124631i	0.0186398	+	0.999826i	$0.494066\pi$
$984$	6.37178	+	1.67898i	0.203125	+	0.0535238i
$985$	−41.2454	−	12.9600i	−1.31419	−	0.412941i
$986$	4.31501	−	2.49127i	0.137418	−	0.0793383i
$987$	−4.96445	−	8.51678i	−0.158020	−	0.271092i
$988$	1.62063	+	6.04828i	0.0515592	+	0.192421i
$989$	66.5218			2.11527
$990$	2.60221	−	0.602316i	0.0827037	−	0.0191428i
$991$	−12.3194			−0.391337			−0.195669	−	0.980670i	$-0.562688\pi$
$991$	−12.3194			−0.391337			−0.195669	+	0.980670i	$0.562688\pi$
$992$	−5.68727	−	21.2252i	−0.180571	−	0.673900i
$993$	−19.3871	+	33.9038i	−0.615230	+	1.07591i
$994$	−0.555345	+	0.320628i	−0.0176145	+	0.0101697i
$995$	51.8460	−	27.0542i	1.64363	−	0.857675i
$996$	−38.8493	+	39.1733i	−1.23099	+	1.24125i
$997$	23.6167	−	6.32809i	0.747950	−	0.200413i	0.135341	−	0.990799i	$-0.456787\pi$
$997$	23.6167	−	6.32809i	0.747950	−	0.200413i	0.612608	+	0.790387i	$0.290120\pi$
$998$	−4.94023	−	4.94023i	−0.156380	−	0.156380i
$999$	18.9744	+	18.5073i	0.600324	+	0.585546i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	315.2.cc.a.92.17	✓	144
3.2	odd	2		945.2.cf.a.197.20		144
5.3	odd	4	inner	315.2.cc.a.218.17	yes	144
9.4	even	3		945.2.cf.a.827.20		144
9.5	odd	6	inner	315.2.cc.a.302.17	yes	144
15.8	even	4		945.2.cf.a.8.20		144
45.13	odd	12		945.2.cf.a.638.20		144
45.23	even	12	inner	315.2.cc.a.113.17	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
315.2.cc.a.92.17	✓	144	1.1	even	1	trivial
315.2.cc.a.113.17	yes	144	45.23	even	12	inner
315.2.cc.a.218.17	yes	144	5.3	odd	4	inner
315.2.cc.a.302.17	yes	144	9.5	odd	6	inner
945.2.cf.a.8.20		144	15.8	even	4
945.2.cf.a.197.20		144	3.2	odd	2
945.2.cf.a.638.20		144	45.13	odd	12
945.2.cf.a.827.20		144	9.4	even	3

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:	\( N \)	\(=\)	\( 315 = 3^{2} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	315.cc (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.0549668 - 0.205139i) q^{2} +(1.73204 - 0.00719422i) q^{3} +(1.69299 - 0.977448i) q^{4} +(-1.03445 - 1.98240i) q^{5} +(-0.0966803 - 0.354913i) q^{6} +(-0.965926 + 0.258819i) q^{7} +(-0.593915 - 0.593915i) q^{8} +(2.99990 - 0.0249213i) q^{9} +O(q^{10})\)	\(q+(-0.0549668 - 0.205139i) q^{2} +(1.73204 - 0.00719422i) q^{3} +(1.69299 - 0.977448i) q^{4} +(-1.03445 - 1.98240i) q^{5} +(-0.0966803 - 0.354913i) q^{6} +(-0.965926 + 0.258819i) q^{7} +(-0.593915 - 0.593915i) q^{8} +(2.99990 - 0.0249213i) q^{9} +(-0.349807 + 0.321173i) q^{10} +(-1.62366 - 0.937420i) q^{11} +(2.92529 - 1.70516i) q^{12} +(0.953645 + 0.255528i) q^{13} +(0.106188 + 0.183923i) q^{14} +(-1.80597 - 3.42614i) q^{15} +(1.86571 - 3.23150i) q^{16} +(-1.86890 + 1.86890i) q^{17} +(-0.170007 - 0.614026i) q^{18} +3.24430i q^{19} +(-3.68901 - 2.34506i) q^{20} +(-1.67116 + 0.455233i) q^{21} +(-0.103054 + 0.384603i) q^{22} +(-1.37504 + 5.13172i) q^{23} +(-1.03296 - 1.02441i) q^{24} +(-2.85982 + 4.10140i) q^{25} -0.209675i q^{26} +(5.19575 - 0.0647465i) q^{27} +(-1.38232 + 1.38232i) q^{28} +(4.43829 - 7.68735i) q^{29} +(-0.603567 + 0.558799i) q^{30} +(4.44401 + 7.69725i) q^{31} +(-2.38807 - 0.639880i) q^{32} +(-2.81898 - 1.61196i) q^{33} +(0.486112 + 0.280657i) q^{34} +(1.51229 + 1.64711i) q^{35} +(5.05444 - 2.97444i) q^{36} +(3.60696 + 3.60696i) q^{37} +(0.665533 - 0.178329i) q^{38} +(1.65359 + 0.435724i) q^{39} +(-0.563000 + 1.79176i) q^{40} +(-3.92254 + 2.26468i) q^{41} +(0.185244 + 0.317797i) q^{42} +(-3.24072 - 12.0945i) q^{43} -3.66512 q^{44} +(-3.15266 - 5.92121i) q^{45} +1.12830 q^{46} +(1.47308 + 5.49762i) q^{47} +(3.20822 - 5.61050i) q^{48} +(0.866025 - 0.500000i) q^{49} +(0.998551 + 0.361219i) q^{50} +(-3.22356 + 3.25045i) q^{51} +(1.86428 - 0.499532i) q^{52} +(5.23765 + 5.23765i) q^{53} +(-0.298876 - 1.06229i) q^{54} +(-0.178742 + 4.18846i) q^{55} +(0.727395 + 0.419962i) q^{56} +(0.0233403 + 5.61925i) q^{57} +(-1.82093 - 0.487918i) q^{58} +(-4.77266 - 8.26649i) q^{59} +(-6.40637 - 4.03519i) q^{60} +(1.14270 - 1.97922i) q^{61} +(1.33473 - 1.33473i) q^{62} +(-2.89123 + 0.800502i) q^{63} -6.93777i q^{64} +(-0.479941 - 2.15484i) q^{65} +(-0.175726 + 0.666888i) q^{66} +(-2.68989 + 10.0388i) q^{67} +(-1.33728 + 4.99078i) q^{68} +(-2.34470 + 8.89821i) q^{69} +(0.254762 - 0.400766i) q^{70} +3.01945i q^{71} +(-1.79649 - 1.76688i) q^{72} +(-4.60003 + 4.60003i) q^{73} +(0.541665 - 0.938192i) q^{74} +(-4.92380 + 7.12434i) q^{75} +(3.17114 + 5.49257i) q^{76} +(1.81096 + 0.485245i) q^{77} +(-0.00150845 - 0.363165i) q^{78} +(-2.00703 - 1.15876i) q^{79} +(-8.33611 - 0.355743i) q^{80} +(8.99876 - 0.149523i) q^{81} +(0.680184 + 0.680184i) q^{82} +(-15.7387 + 4.21717i) q^{83} +(-2.38428 + 2.40417i) q^{84} +(5.63819 + 1.77162i) q^{85} +(-2.30293 + 1.32960i) q^{86} +(7.63198 - 13.3467i) q^{87} +(0.407568 + 1.52107i) q^{88} +0.0294569 q^{89} +(-1.04138 + 0.972203i) q^{90} -0.987286 q^{91} +(2.68806 + 10.0320i) q^{92} +(7.75256 + 13.2999i) q^{93} +(1.04681 - 0.604373i) q^{94} +(6.43151 - 3.35608i) q^{95} +(-4.14082 - 1.09112i) q^{96} +(-9.38590 + 2.51494i) q^{97} +(-0.150172 - 0.150172i) q^{98} +(-4.89417 - 2.77170i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q + 4 q^{3}+O(q^{10}) \) 144 * q + 4 * q^3	\( 144 q + 4 q^{3} - 12 q^{11} - 16 q^{12} + 16 q^{15} + 72 q^{16} - 64 q^{18} - 48 q^{20} - 4 q^{21} - 24 q^{23} - 12 q^{25} - 32 q^{27} - 20 q^{30} - 60 q^{32} - 16 q^{33} - 16 q^{36} - 24 q^{37} + 72 q^{38} + 48 q^{41} - 40 q^{42} + 40 q^{45} - 48 q^{46} + 12 q^{47} + 104 q^{48} - 76 q^{51} - 24 q^{55} - 4 q^{57} - 92 q^{60} + 8 q^{63} - 72 q^{65} - 80 q^{66} - 12 q^{67} - 64 q^{72} - 108 q^{75} - 24 q^{76} + 72 q^{78} + 32 q^{81} - 96 q^{82} + 120 q^{83} - 48 q^{85} - 144 q^{86} + 116 q^{87} - 48 q^{88} + 252 q^{90} + 24 q^{91} + 156 q^{92} - 44 q^{93} + 120 q^{95} - 96 q^{96} - 60 q^{97}+O(q^{100}) \) 144 * q + 4 * q^3 - 12 * q^11 - 16 * q^12 + 16 * q^15 + 72 * q^16 - 64 * q^18 - 48 * q^20 - 4 * q^21 - 24 * q^23 - 12 * q^25 - 32 * q^27 - 20 * q^30 - 60 * q^32 - 16 * q^33 - 16 * q^36 - 24 * q^37 + 72 * q^38 + 48 * q^41 - 40 * q^42 + 40 * q^45 - 48 * q^46 + 12 * q^47 + 104 * q^48 - 76 * q^51 - 24 * q^55 - 4 * q^57 - 92 * q^60 + 8 * q^63 - 72 * q^65 - 80 * q^66 - 12 * q^67 - 64 * q^72 - 108 * q^75 - 24 * q^76 + 72 * q^78 + 32 * q^81 - 96 * q^82 + 120 * q^83 - 48 * q^85 - 144 * q^86 + 116 * q^87 - 48 * q^88 + 252 * q^90 + 24 * q^91 + 156 * q^92 - 44 * q^93 + 120 * q^95 - 96 * q^96 - 60 * q^97

Introduction

L-functions

Modular forms

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