LMFDB - Embedded newform 280.2.bj.f.171.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(131,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 0, 5]))

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

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

chi := DirichletCharacter("280.131");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.bj (of order $6$, degree $2$, 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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$12$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			171.10
Character	$\chi$	$=$	280.171
Dual form			280.2.bj.f.131.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.11603 - 0.868601i) q^{2} +(-0.502680 - 0.290223i) q^{3} +(0.491065 - 1.93878i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-0.813096 + 0.112730i) q^{6} +(-2.63362 - 0.253028i) q^{7} +(-1.13598 - 2.59028i) q^{8} +(-1.33154 - 2.30630i) q^{9} +O(q^{10})$	\(q+(1.11603 - 0.868601i) q^{2} +(-0.502680 - 0.290223i) q^{3} +(0.491065 - 1.93878i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-0.813096 + 0.112730i) q^{6} +(-2.63362 - 0.253028i) q^{7} +(-1.13598 - 2.59028i) q^{8} +(-1.33154 - 2.30630i) q^{9} +(-1.31025 - 0.532213i) q^{10} +(0.428852 - 0.742794i) q^{11} +(-0.809526 + 0.832067i) q^{12} +2.26075 q^{13} +(-3.15900 + 2.00518i) q^{14} +0.580445i q^{15} +(-3.51771 - 1.90413i) q^{16} +(6.65461 + 3.84204i) q^{17} +(-3.48930 - 1.41733i) q^{18} +(5.17016 - 2.98499i) q^{19} +(-1.92456 + 0.544114i) q^{20} +(1.25044 + 0.891530i) q^{21} +(-0.166578 - 1.20148i) q^{22} +(-3.17064 + 1.83057i) q^{23} +(-0.180724 + 1.63177i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(2.52307 - 1.96369i) q^{26} +3.28711i q^{27} +(-1.78385 + 4.98176i) q^{28} -7.76090i q^{29} +(0.504175 + 0.647797i) q^{30} +(-4.53853 + 7.86097i) q^{31} +(-5.57981 + 0.930414i) q^{32} +(-0.431151 + 0.248925i) q^{33} +(10.7640 - 1.49235i) q^{34} +(1.09768 + 2.40730i) q^{35} +(-5.12527 + 1.44902i) q^{36} +(3.77689 - 2.18059i) q^{37} +(3.17731 - 7.82216i) q^{38} +(-1.13643 - 0.656120i) q^{39} +(-1.67526 + 2.27893i) q^{40} -0.780359i q^{41} +(2.16991 - 0.0911527i) q^{42} +7.36373 q^{43} +(-1.22952 - 1.19621i) q^{44} +(-1.33154 + 2.30630i) q^{45} +(-1.94851 + 4.79700i) q^{46} +(-0.206809 - 0.358203i) q^{47} +(1.21566 + 1.97809i) q^{48} +(6.87195 + 1.33276i) q^{49} +(0.194213 + 1.40081i) q^{50} +(-2.23010 - 3.86264i) q^{51} +(1.11017 - 4.38308i) q^{52} +(11.0314 + 6.36896i) q^{53} +(2.85519 + 3.66853i) q^{54} -0.857704 q^{55} +(2.33633 + 7.10926i) q^{56} -3.46525 q^{57} +(-6.74113 - 8.66143i) q^{58} +(-7.74172 - 4.46968i) q^{59} +(1.12535 + 0.285036i) q^{60} +(2.49343 + 4.31875i) q^{61} +(1.76289 + 12.7153i) q^{62} +(2.92322 + 6.41084i) q^{63} +(-5.41911 + 5.88501i) q^{64} +(-1.13037 - 1.95786i) q^{65} +(-0.264963 + 0.652308i) q^{66} +(-4.51807 + 7.82553i) q^{67} +(10.7167 - 11.0151i) q^{68} +2.12509 q^{69} +(3.31603 + 1.73318i) q^{70} -8.69420i q^{71} +(-4.46135 + 6.06897i) q^{72} +(-9.52015 - 5.49646i) q^{73} +(2.32107 - 5.71422i) q^{74} +(0.502680 - 0.290223i) q^{75} +(-3.24835 - 11.4896i) q^{76} +(-1.31738 + 1.84773i) q^{77} +(-1.83820 + 0.254855i) q^{78} +(4.53017 - 2.61550i) q^{79} +(0.109831 + 3.99849i) q^{80} +(-3.04063 + 5.26653i) q^{81} +(-0.677821 - 0.870908i) q^{82} +4.58743i q^{83} +(2.34252 - 1.98652i) q^{84} -7.68409i q^{85} +(8.21818 - 6.39615i) q^{86} +(-2.25239 + 3.90126i) q^{87} +(-2.41121 - 0.267050i) q^{88} +(5.85397 - 3.37979i) q^{89} +(0.517207 + 3.73049i) q^{90} +(-5.95396 - 0.572033i) q^{91} +(1.99208 + 7.04609i) q^{92} +(4.56286 - 2.63437i) q^{93} +(-0.541941 - 0.220133i) q^{94} +(-5.17016 - 2.98499i) q^{95} +(3.07489 + 1.15169i) q^{96} +4.09482i q^{97} +(8.82697 - 4.48158i) q^{98} -2.28414 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + 3 q^{2} + 12 q^{3} + q^{4} - 12 q^{5} - 2 q^{6} + 10 q^{7} - 6 q^{8} + 12 q^{9}+O(q^{10}) $ 24 * q + 3 * q^2 + 12 * q^3 + q^4 - 12 * q^5 - 2 * q^6 + 10 * q^7 - 6 * q^8 + 12 * q^9	$ 24 q + 3 q^{2} + 12 q^{3} + q^{4} - 12 q^{5} - 2 q^{6} + 10 q^{7} - 6 q^{8} + 12 q^{9} - 3 q^{10} + 8 q^{11} + 10 q^{12} + 20 q^{13} + 5 q^{14} - 3 q^{16} + 6 q^{17} + 3 q^{18} + 18 q^{19} - 2 q^{20} - 26 q^{21} - 16 q^{22} + 18 q^{23} - 18 q^{24} - 12 q^{25} - 37 q^{26} - 41 q^{28} - 8 q^{30} - 6 q^{31} + 3 q^{32} + 12 q^{33} - 20 q^{34} - 8 q^{35} - 22 q^{36} + 15 q^{38} - 18 q^{39} + 3 q^{40} - 12 q^{42} + 32 q^{43} + 35 q^{44} + 12 q^{45} - 49 q^{46} - 14 q^{48} + 8 q^{49} - 22 q^{51} - 41 q^{52} + 30 q^{53} + 104 q^{54} - 16 q^{55} + 44 q^{56} - 44 q^{57} - 54 q^{58} - 18 q^{59} - 8 q^{60} + 22 q^{61} + 8 q^{62} - 12 q^{63} + 58 q^{64} - 10 q^{65} + 8 q^{66} - 8 q^{67} + 18 q^{68} - 12 q^{69} - q^{70} - 17 q^{72} + 30 q^{73} + 53 q^{74} - 12 q^{75} + 8 q^{76} - 32 q^{77} - 8 q^{78} + 6 q^{79} - 3 q^{80} - 4 q^{81} - 57 q^{82} + 42 q^{86} + 14 q^{87} - 17 q^{88} - 60 q^{89} + 24 q^{90} + 18 q^{91} - 38 q^{92} - 18 q^{93} + 19 q^{94} - 18 q^{95} - 74 q^{96} + 3 q^{98} - 56 q^{99}+O(q^{100}) $ 24 * q + 3 * q^2 + 12 * q^3 + q^4 - 12 * q^5 - 2 * q^6 + 10 * q^7 - 6 * q^8 + 12 * q^9 - 3 * q^10 + 8 * q^11 + 10 * q^12 + 20 * q^13 + 5 * q^14 - 3 * q^16 + 6 * q^17 + 3 * q^18 + 18 * q^19 - 2 * q^20 - 26 * q^21 - 16 * q^22 + 18 * q^23 - 18 * q^24 - 12 * q^25 - 37 * q^26 - 41 * q^28 - 8 * q^30 - 6 * q^31 + 3 * q^32 + 12 * q^33 - 20 * q^34 - 8 * q^35 - 22 * q^36 + 15 * q^38 - 18 * q^39 + 3 * q^40 - 12 * q^42 + 32 * q^43 + 35 * q^44 + 12 * q^45 - 49 * q^46 - 14 * q^48 + 8 * q^49 - 22 * q^51 - 41 * q^52 + 30 * q^53 + 104 * q^54 - 16 * q^55 + 44 * q^56 - 44 * q^57 - 54 * q^58 - 18 * q^59 - 8 * q^60 + 22 * q^61 + 8 * q^62 - 12 * q^63 + 58 * q^64 - 10 * q^65 + 8 * q^66 - 8 * q^67 + 18 * q^68 - 12 * q^69 - q^70 - 17 * q^72 + 30 * q^73 + 53 * q^74 - 12 * q^75 + 8 * q^76 - 32 * q^77 - 8 * q^78 + 6 * q^79 - 3 * q^80 - 4 * q^81 - 57 * q^82 + 42 * q^86 + 14 * q^87 - 17 * q^88 - 60 * q^89 + 24 * q^90 + 18 * q^91 - 38 * q^92 - 18 * q^93 + 19 * q^94 - 18 * q^95 - 74 * q^96 + 3 * q^98 - 56 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$1$	$-1$	$-1$	$e\left(\frac{1}{6}\right)$

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 $

$2$	1.11603	−	0.868601i	0.789155	−	0.614194i
$2$	1.11603	−	0.868601i	0.789155	−	0.614194i
$3$	−0.502680	−	0.290223i	−0.290223	−	0.167560i	0.347820	−	0.937561i	$-0.386922\pi$
$3$	−0.502680	−	0.290223i	−0.290223	−	0.167560i	−0.638042	+	0.770001i	$0.720256\pi$
$4$	0.491065	−	1.93878i	0.245532	−	0.969388i
$5$	−0.500000	−	0.866025i	−0.223607	−	0.387298i
$5$	−0.500000	−	0.866025i	−0.223607	−	0.387298i
$6$	−0.813096	+	0.112730i	−0.331945	+	0.0460220i
$7$	−2.63362	−	0.253028i	−0.995416	−	0.0956358i
$7$	−2.63362	−	0.253028i	−0.995416	−	0.0956358i
$8$	−1.13598	−	2.59028i	−0.401629	−	0.915802i
$9$	−1.33154	−	2.30630i	−0.443847	−	0.768766i
$10$	−1.31025	−	0.532213i	−0.414337	−	0.168301i
$11$	0.428852	−	0.742794i	0.129304	−	0.223961i	−0.794103	−	0.607783i	$-0.792059\pi$
$11$	0.428852	−	0.742794i	0.129304	−	0.223961i	0.923407	+	0.383822i	$0.125392\pi$
$12$	−0.809526	+	0.832067i	−0.233690	+	0.240197i
$13$	2.26075			0.627018			0.313509	−	0.949585i	$-0.398495\pi$
$13$	2.26075			0.627018			0.313509	+	0.949585i	$0.398495\pi$
$14$	−3.15900	+	2.00518i	−0.844277	+	0.535907i
$15$			0.580445i			0.149870i
$16$	−3.51771	−	1.90413i	−0.879428	−	0.476032i
$17$	6.65461	+	3.84204i	1.61398	+	0.931832i	0.988435	+	0.151645i	$0.0484571\pi$
$17$	6.65461	+	3.84204i	1.61398	+	0.931832i	0.625546	+	0.780187i	$0.284876\pi$
$18$	−3.48930	−	1.41733i	−0.822436	−	0.334068i
$19$	5.17016	−	2.98499i	1.18612	−	0.684804i	0.228694	−	0.973498i	$-0.426554\pi$
$19$	5.17016	−	2.98499i	1.18612	−	0.684804i	0.957421	+	0.288694i	$0.0932211\pi$
$20$	−1.92456	+	0.544114i	−0.430345	+	0.121668i
$21$	1.25044	+	0.891530i	0.272868	+	0.194548i
$22$	−0.166578	−	1.20148i	−0.0355145	−	0.256157i
$23$	−3.17064	+	1.83057i	−0.661124	+	0.381700i	−0.792705	−	0.609605i	$-0.791328\pi$
$23$	−3.17064	+	1.83057i	−0.661124	+	0.381700i	0.131581	+	0.991305i	$0.457995\pi$
$24$	−0.180724	+	1.63177i	−0.0368901	+	0.333084i
$25$	−0.500000	+	0.866025i	−0.100000	+	0.173205i
$26$	2.52307	−	1.96369i	0.494815	−	0.385111i
$27$			3.28711i			0.632605i
$28$	−1.78385	+	4.98176i	−0.337115	+	0.941463i
$29$		−	7.76090i		−	1.44116i	−0.693370	−	0.720582i	$-0.743875\pi$
$29$		−	7.76090i		−	1.44116i	0.693370	−	0.720582i	$-0.256125\pi$
$30$	0.504175	+	0.647797i	0.0920494	+	0.118271i
$31$	−4.53853	+	7.86097i	−0.815144	+	1.41187i	0.0940797	+	0.995565i	$0.470009\pi$
$31$	−4.53853	+	7.86097i	−0.815144	+	1.41187i	−0.909224	+	0.416307i	$0.863324\pi$
$32$	−5.57981	+	0.930414i	−0.986381	+	0.164475i
$33$	−0.431151	+	0.248925i	−0.0750538	+	0.0433323i
$34$	10.7640	−	1.49235i	1.84601	−	0.255936i
$35$	1.09768	+	2.40730i	0.185542	+	0.406908i
$36$	−5.12527	+	1.44902i	−0.854212	+	0.241503i
$37$	3.77689	−	2.18059i	0.620916	−	0.358486i	−0.156309	−	0.987708i	$-0.549960\pi$
$37$	3.77689	−	2.18059i	0.620916	−	0.358486i	0.777226	+	0.629222i	$0.216626\pi$
$38$	3.17731	−	7.82216i	0.515427	−	1.26892i
$39$	−1.13643	−	0.656120i	−0.181975	−	0.105063i
$40$	−1.67526	+	2.27893i	−0.264882	+	0.360330i
$41$		−	0.780359i		−	0.121872i	−0.998142	−	0.0609358i	$-0.980591\pi$
$41$		−	0.780359i		−	0.121872i	0.998142	−	0.0609358i	$-0.0194085\pi$
$42$	2.16991	−	0.0911527i	0.334825	−	0.0140652i
$43$	7.36373			1.12296			0.561479	−	0.827491i	$-0.310232\pi$
$43$	7.36373			1.12296			0.561479	+	0.827491i	$0.310232\pi$
$44$	−1.22952	−	1.19621i	−0.185357	−	0.180335i
$45$	−1.33154	+	2.30630i	−0.198494	+	0.343803i
$46$	−1.94851	+	4.79700i	−0.287292	+	0.707279i
$47$	−0.206809	−	0.358203i	−0.0301662	−	0.0522493i	0.850548	−	0.525897i	$-0.176270\pi$
$47$	−0.206809	−	0.358203i	−0.0301662	−	0.0522493i	−0.880714	+	0.473648i	$0.842937\pi$
$48$	1.21566	+	1.97809i	0.175466	+	0.285512i
$49$	6.87195	+	1.33276i	0.981708	+	0.190395i
$50$	0.194213	+	1.40081i	0.0274659	+	0.198105i
$51$	−2.23010	−	3.86264i	−0.312276	−	0.540878i
$52$	1.11017	−	4.38308i	0.153953	−	0.607824i
$53$	11.0314	+	6.36896i	1.51527	+	0.874844i	0.999840	+	0.0179150i	$0.00570283\pi$
$53$	11.0314	+	6.36896i	1.51527	+	0.874844i	0.515435	+	0.856929i	$0.327631\pi$
$54$	2.85519	+	3.66853i	0.388542	+	0.499223i
$55$	−0.857704			−0.115653
$56$	2.33633	+	7.10926i	0.312205	+	0.950015i
$57$	−3.46525			−0.458984
$58$	−6.74113	−	8.66143i	−0.885154	−	1.13730i
$59$	−7.74172	−	4.46968i	−1.00789	−	0.581903i	−0.0973139	−	0.995254i	$-0.531025\pi$
$59$	−7.74172	−	4.46968i	−1.00789	−	0.581903i	−0.910572	+	0.413351i	$0.864358\pi$
$60$	1.12535	+	0.285036i	0.145283	+	0.0367980i
$61$	2.49343	+	4.31875i	0.319251	+	0.552959i	0.980332	−	0.197355i	$-0.0632353\pi$
$61$	2.49343	+	4.31875i	0.319251	+	0.552959i	−0.661081	+	0.750315i	$0.729902\pi$
$62$	1.76289	+	12.7153i	0.223887	+	1.61484i
$63$	2.92322	+	6.41084i	0.368291	+	0.807690i
$64$	−5.41911	+	5.88501i	−0.677388	+	0.735626i
$65$	−1.13037	−	1.95786i	−0.140206	−	0.242843i
$66$	−0.264963	+	0.652308i	−0.0326147	+	0.0802935i
$67$	−4.51807	+	7.82553i	−0.551970	+	0.956041i	0.446162	+	0.894952i	$0.352791\pi$
$67$	−4.51807	+	7.82553i	−0.551970	+	0.956041i	−0.998132	+	0.0610886i	$0.980543\pi$
$68$	10.7167	−	11.0151i	1.29959	−	1.33578i
$69$	2.12509			0.255831
$70$	3.31603	+	1.73318i	0.396342	+	0.207155i
$71$		−	8.69420i		−	1.03181i	−0.856645	−	0.515906i	$-0.827455\pi$
$71$		−	8.69420i		−	1.03181i	0.856645	−	0.515906i	$-0.172545\pi$
$72$	−4.46135	+	6.06897i	−0.525776	+	0.715235i
$73$	−9.52015	−	5.49646i	−1.11425	−	0.643312i	−0.174323	−	0.984689i	$-0.555774\pi$
$73$	−9.52015	−	5.49646i	−1.11425	−	0.643312i	−0.939927	+	0.341376i	$0.889107\pi$
$74$	2.32107	−	5.71422i	0.269819	−	0.664264i
$75$	0.502680	−	0.290223i	0.0580445	−	0.0335120i
$76$	−3.24835	−	11.4896i	−0.372612	−	1.31795i
$77$	−1.31738	+	1.84773i	−0.150130	+	0.210568i
$78$	−1.83820	+	0.254855i	−0.208136	+	0.0288566i
$79$	4.53017	−	2.61550i	0.509684	−	0.294266i	−0.223020	−	0.974814i	$-0.571591\pi$
$79$	4.53017	−	2.61550i	0.509684	−	0.294266i	0.732704	+	0.680548i	$0.238258\pi$
$80$	0.109831	+	3.99849i	0.0122795	+	0.447045i
$81$	−3.04063	+	5.26653i	−0.337848	+	0.585170i
$82$	−0.677821	−	0.870908i	−0.0748528	−	0.0961757i
$83$			4.58743i			0.503536i	0.967788	+	0.251768i	$0.0810120\pi$
$83$			4.58743i			0.503536i	−0.967788	+	0.251768i	$0.918988\pi$
$84$	2.34252	−	1.98652i	0.255590	−	0.216747i
$85$		−	7.68409i		−	0.833456i
$86$	8.21818	−	6.39615i	0.886189	−	0.689714i
$87$	−2.25239	+	3.90126i	−0.241482	+	0.418258i
$88$	−2.41121	−	0.267050i	−0.257036	−	0.0284676i
$89$	5.85397	−	3.37979i	0.620519	−	0.358257i	−0.156552	−	0.987670i	$-0.550038\pi$
$89$	5.85397	−	3.37979i	0.620519	−	0.358257i	0.777071	+	0.629413i	$0.216704\pi$
$90$	0.517207	+	3.73049i	0.0545184	+	0.393228i
$91$	−5.95396	−	0.572033i	−0.624144	−	0.0599654i
$92$	1.99208	+	7.04609i	0.207688	+	0.734606i
$93$	4.56286	−	2.63437i	0.473147	−	0.273171i
$94$	−0.541941	−	0.220133i	−0.0558970	−	0.0227050i
$95$	−5.17016	−	2.98499i	−0.530447	−	0.306254i
$96$	3.07489	+	1.15169i	0.313830	+	0.117544i
$97$			4.09482i			0.415766i	0.978154	+	0.207883i	$0.0666574\pi$
$97$			4.09482i			0.415766i	−0.978154	+	0.207883i	$0.933343\pi$
$98$	8.82697	−	4.48158i	0.891659	−	0.452707i
$99$	−2.28414			−0.229565
$100$	1.43350	+	1.39466i	0.143350	+	0.139466i
$101$	2.79146	−	4.83495i	0.277761	−	0.481096i	−0.693067	−	0.720873i	$-0.743741\pi$
$101$	2.79146	−	4.83495i	0.277761	−	0.481096i	0.970828	+	0.239777i	$0.0770744\pi$
$102$	−5.84396	−	2.37377i	−0.578638	−	0.235039i
$103$	4.73334	+	8.19839i	0.466390	+	0.807811i	0.999263	−	0.0383841i	$-0.0122211\pi$
$103$	4.73334	+	8.19839i	0.466390	+	0.807811i	−0.532873	+	0.846195i	$0.678888\pi$
$104$	−2.56816	−	5.85597i	−0.251829	−	0.574225i
$105$	0.146869	−	1.52868i	0.0143330	−	0.149183i
$106$	17.8435	−	2.47388i	1.73311	−	0.240284i
$107$	−7.98617	−	13.8325i	−0.772053	−	1.33723i	−0.936436	−	0.350838i	$-0.885897\pi$
$107$	−7.98617	−	13.8325i	−0.772053	−	1.33723i	0.164384	−	0.986396i	$-0.447436\pi$
$108$	6.37297	+	1.61418i	0.613240	+	0.155325i
$109$	−7.46593	−	4.31046i	−0.715107	−	0.412867i	0.0978424	−	0.995202i	$-0.468806\pi$
$109$	−7.46593	−	4.31046i	−0.715107	−	0.412867i	−0.812949	+	0.582335i	$0.802139\pi$
$110$	−0.957227	+	0.745003i	−0.0912681	+	0.0710332i
$111$	−2.53142			−0.240272
$112$	8.78253	+	5.90484i	0.829871	+	0.557955i
$113$	−9.49155			−0.892890			−0.446445	−	0.894811i	$-0.647310\pi$
$113$	−9.49155			−0.892890			−0.446445	+	0.894811i	$0.647310\pi$
$114$	−3.86734	+	3.00992i	−0.362209	+	0.281905i
$115$	3.17064	+	1.83057i	0.295664	+	0.170701i
$116$	−15.0467	−	3.81111i	−1.39705	−	0.353852i
$117$	−3.01028	−	5.21395i	−0.278300	−	0.482030i
$118$	−12.5224	+	1.73615i	−1.15278	+	0.159825i
$119$	−16.5536	−	11.8023i	−1.51747	−	1.08192i
$120$	1.50352	−	0.659374i	0.137252	−	0.0601923i
$121$	5.13217	+	8.88918i	0.466561	+	0.808107i
$122$	6.53402	+	2.65408i	0.591563	+	0.240289i
$123$	−0.226478	+	0.392271i	−0.0204208	+	0.0353699i
$124$	13.0120	+	12.6594i	1.16851	+	1.13685i
$125$	1.00000			0.0894427
$126$	8.83088	+	4.61560i	0.786717	+	0.411191i
$127$		−	1.82621i		−	0.162050i	−0.996712	−	0.0810251i	$-0.974181\pi$
$127$		−	1.82621i		−	0.162050i	0.996712	−	0.0810251i	$-0.0258194\pi$
$128$	−0.936185	+	11.2749i	−0.0827478	+	0.996571i
$129$	−3.70160	−	2.13712i	−0.325908	−	0.188163i
$130$	−2.96214	−	1.20320i	−0.259797	−	0.105528i
$131$	0.590932	−	0.341175i	0.0516299	−	0.0298086i	−0.473963	−	0.880545i	$-0.657177\pi$
$131$	0.590932	−	0.341175i	0.0516299	−	0.0298086i	0.525593	+	0.850736i	$0.323844\pi$
$132$	0.270887	+	0.958144i	0.0235777	+	0.0833958i
$133$	−14.3715	+	6.55315i	−1.24617	+	0.568230i
$134$	1.75494	+	12.6580i	0.151604	+	1.09348i
$135$	2.84672	−	1.64356i	0.245007	−	0.141455i
$136$	2.39247	−	21.6018i	0.205153	−	1.85234i
$137$	−4.39537	+	7.61300i	−0.375521	+	0.650422i	−0.990405	−	0.138196i	$-0.955870\pi$
$137$	−4.39537	+	7.61300i	−0.375521	+	0.650422i	0.614883	+	0.788618i	$0.289203\pi$
$138$	2.37167	−	1.84586i	0.201890	−	0.157130i
$139$			8.43738i			0.715649i	0.933789	+	0.357825i	$0.116481\pi$
$139$			8.43738i			0.715649i	−0.933789	+	0.357825i	$0.883519\pi$
$140$	5.20625	−	0.946023i	0.440008	−	0.0799535i
$141$			0.240082i			0.0202186i
$142$	−7.55179	−	9.70302i	−0.633732	−	0.814260i
$143$	0.969526	−	1.67927i	0.0810758	−	0.140427i
$144$	0.292489	+	10.6483i	0.0243741	+	0.887360i
$145$	−6.72114	+	3.88045i	−0.558160	+	0.322254i
$146$	−15.3990	+	2.13497i	−1.27443	+	0.176692i
$147$	−3.06760	−	2.66435i	−0.253011	−	0.219752i
$148$	−2.37297	−	8.39335i	−0.195057	−	0.689929i
$149$	0.613174	−	0.354016i	0.0502332	−	0.0290022i	−0.474673	−	0.880162i	$-0.657434\pi$
$149$	0.613174	−	0.354016i	0.0502332	−	0.0290022i	0.524906	+	0.851160i	$0.324100\pi$
$150$	0.308921	−	0.760527i	0.0252233	−	0.0620968i
$151$	16.6390	+	9.60653i	1.35406	+	0.781768i	0.988816	−	0.149142i	$-0.0476513\pi$
$151$	16.6390	+	9.60653i	1.35406	+	0.781768i	0.365247	+	0.930911i	$0.380985\pi$
$152$	−13.6052	−	10.0013i	−1.10352	−	0.811210i
$153$		−	20.4634i		−	1.65436i
$154$	0.134693	+	3.20641i	0.0108539	+	0.258380i
$155$	9.07706			0.729087
$156$	−1.83013	+	1.88109i	−0.146528	+	0.150608i
$157$	−6.97017	+	12.0727i	−0.556280	+	0.963505i	0.441523	+	0.897250i	$0.354438\pi$
$157$	−6.97017	+	12.0727i	−0.556280	+	0.963505i	−0.997803	+	0.0662551i	$0.978895\pi$
$158$	2.78401	−	6.85390i	0.221484	−	0.545267i
$159$	−3.69683	−	6.40310i	−0.293178	−	0.507799i
$160$	3.59567	+	4.36705i	0.284263	+	0.345246i
$161$	8.81346	−	4.01877i	0.694598	−	0.316723i
$162$	1.18106	+	8.51872i	0.0927930	+	0.669294i
$163$	3.37383	+	5.84364i	0.264259	+	0.457710i	0.967369	−	0.253371i	$-0.0815394\pi$
$163$	3.37383	+	5.84364i	0.264259	+	0.457710i	−0.703110	+	0.711081i	$0.748206\pi$
$164$	−1.51294	−	0.383207i	−0.118141	−	0.0299234i
$165$	0.431151	+	0.248925i	0.0335651	+	0.0193788i
$166$	3.98465	+	5.11973i	0.309269	+	0.397368i
$167$	−0.766416			−0.0593071			−0.0296535	−	0.999560i	$-0.509440\pi$
$167$	−0.766416			−0.0593071			−0.0296535	+	0.999560i	$0.509440\pi$
$168$	0.888843	−	4.25174i	0.0685757	−	0.328029i
$169$	−7.88903			−0.606848
$170$	−6.67441	−	8.57570i	−0.511904	−	0.657726i
$171$	−13.7686	−	7.94928i	−1.05291	−	0.607897i
$172$	3.61607	−	14.2766i	0.275723	−	1.08858i
$173$	−3.48034	−	6.02813i	−0.264606	−	0.458311i	0.702855	−	0.711334i	$-0.251908\pi$
$173$	−3.48034	−	6.02813i	−0.264606	−	0.458311i	−0.967460	+	0.253023i	$0.918575\pi$
$174$	0.874889	+	6.31036i	0.0663252	+	0.478387i
$175$	1.53594	−	2.15427i	0.116106	−	0.162848i
$176$	−2.92295	+	1.79634i	−0.220326	+	0.135405i
$177$	2.59441	+	4.49365i	0.195008	+	0.337763i
$178$	3.59754	−	8.85672i	0.269647	−	0.663839i
$179$	8.62594	−	14.9406i	0.644733	−	1.11671i	−0.339630	−	0.940559i	$-0.610302\pi$
$179$	8.62594	−	14.9406i	0.644733	−	1.11671i	0.984363	−	0.176151i	$-0.0563647\pi$
$180$	3.81752	+	3.71410i	0.284541	+	0.276833i
$181$	−8.33378			−0.619445			−0.309723	−	0.950827i	$-0.600236\pi$
$181$	−8.33378			−0.619445			−0.309723	+	0.950827i	$0.600236\pi$
$182$	−7.14169	+	4.53320i	−0.529377	+	0.336023i
$183$		−	2.89460i		−	0.213975i
$184$	8.34347	+	6.13336i	0.615089	+	0.452157i
$185$	−3.77689	−	2.18059i	−0.277682	−	0.160320i
$186$	2.80409	−	6.90335i	0.205606	−	0.506179i
$187$	5.70769	−	3.29534i	0.417388	−	0.240979i
$188$	−0.796033	+	0.225055i	−0.0580566	+	0.0164138i
$189$	0.831733	−	8.65701i	0.0604996	−	0.629705i
$190$	−8.36284	+	1.15945i	−0.606704	+	0.0841154i
$191$	11.6892	−	6.74878i	0.845803	−	0.488325i	−0.0134293	−	0.999910i	$-0.504275\pi$
$191$	11.6892	−	6.74878i	0.845803	−	0.488325i	0.859233	+	0.511585i	$0.170941\pi$
$192$	4.43204	−	1.38553i	0.319855	−	0.0999920i
$193$	−9.21020	+	15.9525i	−0.662965	+	1.14829i	0.316868	+	0.948470i	$0.397369\pi$
$193$	−9.21020	+	15.9525i	−0.662965	+	1.14829i	−0.979833	+	0.199819i	$0.935965\pi$
$194$	3.55677	+	4.56996i	0.255361	+	0.328104i
$195$			1.31224i			0.0939714i
$196$	5.95850	−	12.6687i	0.425607	−	0.904908i
$197$			5.56007i			0.396139i	0.980188	+	0.198069i	$0.0634671\pi$
$197$			5.56007i			0.396139i	−0.980188	+	0.198069i	$0.936533\pi$
$198$	−2.54918	+	1.98400i	−0.181162	+	0.140997i
$199$	−0.859626	+	1.48892i	−0.0609373	+	0.105546i	−0.894885	−	0.446298i	$-0.852742\pi$
$199$	−0.859626	+	1.48892i	−0.0609373	+	0.105546i	0.833947	+	0.551844i	$0.186076\pi$
$200$	2.81124	+	0.311354i	0.198785	+	0.0220160i
$201$	4.54229	−	2.62249i	0.320389	−	0.184977i
$202$	−1.08428	−	7.82064i	−0.0762896	−	0.550258i
$203$	−1.96373	+	20.4393i	−0.137827	+	1.43456i
$204$	−8.58392	+	2.42685i	−0.600995	+	0.169914i
$205$	−0.675811	+	0.390180i	−0.0472007	+	0.0272513i
$206$	12.4037	+	5.03829i	0.864206	+	0.351035i
$207$	8.44368	+	4.87496i	0.586876	+	0.338833i
$208$	−7.95265	−	4.30475i	−0.551417	−	0.298481i
$209$		−	5.12048i		−	0.354191i
$210$	−1.16390	−	1.83362i	−0.0803166	−	0.126532i
$211$	−4.20177			−0.289262			−0.144631	−	0.989486i	$-0.546200\pi$
$211$	−4.20177			−0.289262			−0.144631	+	0.989486i	$0.546200\pi$
$212$	17.7651	−	18.2598i	1.22011	−	1.25409i
$213$	−2.52325	+	4.37040i	−0.172891	+	0.299455i
$214$	−20.9277	−	8.50070i	−1.43059	−	0.581096i
$215$	−3.68187	−	6.37718i	−0.251101	−	0.434920i
$216$	8.51454	−	3.73409i	0.579341	−	0.254072i
$217$	13.9418	−	19.5545i	0.946434	−	1.32744i
$218$	−12.0763	+	1.67430i	−0.817910	+	0.113398i
$219$	3.19040	+	5.52593i	0.215587	+	0.373408i
$220$	−0.421188	+	1.66290i	−0.0283965	+	0.112113i
$221$	15.0444	+	8.68588i	1.01200	+	0.584276i
$222$	−2.82515	+	2.19880i	−0.189612	+	0.147574i
$223$	−1.62540			−0.108845			−0.0544224	−	0.998518i	$-0.517332\pi$
$223$	−1.62540			−0.108845			−0.0544224	+	0.998518i	$0.517332\pi$
$224$	14.9306	−	1.03851i	0.997590	−	0.0693883i
$225$	2.66308			0.177539
$226$	−10.5929	+	8.24437i	−0.704629	+	0.548408i
$227$	−1.98615	−	1.14670i	−0.131825	−	0.0761093i	0.432637	−	0.901568i	$-0.357583\pi$
$227$	−1.98615	−	1.14670i	−0.131825	−	0.0761093i	−0.564462	+	0.825459i	$0.690916\pi$
$228$	−1.70166	+	6.71835i	−0.112695	+	0.444933i
$229$	0.738857	+	1.27974i	0.0488251	+	0.0845675i	0.889405	−	0.457120i	$-0.151119\pi$
$229$	0.738857	+	1.27974i	0.0488251	+	0.0845675i	−0.840580	+	0.541687i	$0.817786\pi$
$230$	5.12858	−	0.711042i	0.338168	−	0.0468847i
$231$	1.19848	−	0.546482i	0.0788539	−	0.0359559i
$232$	−20.1029	+	8.81622i	−1.31982	+	0.578813i
$233$	−7.94810	−	13.7665i	−0.520698	−	0.901875i	−0.999710	−	0.0240666i	$-0.992339\pi$
$233$	−7.94810	−	13.7665i	−0.520698	−	0.901875i	0.479013	−	0.877808i	$-0.340995\pi$
$234$	−7.88842	−	3.20422i	−0.515682	−	0.209466i
$235$	−0.206809	+	0.358203i	−0.0134907	+	0.0233666i
$236$	−12.4674	+	12.8146i	−0.811559	+	0.834157i
$237$	−3.03631			−0.197229
$238$	−28.7259	+	1.20670i	−1.86202	+	0.0782190i
$239$		−	3.88969i		−	0.251603i	−0.992055	−	0.125801i	$-0.959850\pi$
$239$		−	3.88969i		−	0.251603i	0.992055	−	0.125801i	$-0.0401502\pi$
$240$	1.10524	−	2.04184i	0.0713431	−	0.131800i
$241$	25.4772	+	14.7093i	1.64113	+	0.947507i	0.980432	+	0.196856i	$0.0630730\pi$
$241$	25.4772	+	14.7093i	1.64113	+	0.947507i	0.660698	+	0.750652i	$0.270260\pi$
$242$	13.4488	+	5.46282i	0.864524	+	0.351163i
$243$	11.5971	−	6.69559i	0.743954	−	0.429522i
$244$	9.59753	−	2.71342i	0.614419	−	0.173709i
$245$	−2.28177	−	6.61767i	−0.145777	−	0.422787i
$246$	0.0879701	+	0.634507i	0.00560877	+	0.0404547i
$247$	11.6884	−	6.74831i	0.743716	−	0.429385i
$248$	25.5178	+	2.82618i	1.62038	+	0.179463i
$249$	1.33138	−	2.30601i	0.0843726	−	0.146138i
$250$	1.11603	−	0.868601i	0.0705842	−	0.0549352i
$251$			7.26249i			0.458404i	0.973379	+	0.229202i	$0.0736116\pi$
$251$			7.26249i			0.458404i	−0.973379	+	0.229202i	$0.926388\pi$
$252$	13.8647	−	2.51934i	0.873393	−	0.158703i
$253$			3.14018i			0.197421i
$254$	−1.58625	−	2.03812i	−0.0995302	−	0.127883i
$255$	−2.23010	+	3.86264i	−0.139654	+	0.241888i
$256$	8.74858	+	13.3964i	0.546786	+	0.837272i
$257$	2.31724	−	1.33786i	0.144545	−	0.0834532i	−0.425983	−	0.904731i	$-0.640072\pi$
$257$	2.31724	−	1.33786i	0.144545	−	0.0834532i	0.570528	+	0.821278i	$0.306738\pi$
$258$	−5.98742	+	0.830116i	−0.372761	+	0.0516808i
$259$	−10.4986	+	4.78718i	−0.652354	+	0.297461i
$260$	−4.35095	+	1.23010i	−0.269834	+	0.0762878i
$261$	−17.8990	+	10.3340i	−1.10792	+	0.639656i
$262$	0.363155	−	0.894046i	0.0224358	−	0.0552344i
$263$	23.5319	+	13.5861i	1.45104	+	0.837757i	0.998540	−	0.0540095i	$-0.0172001\pi$
$263$	23.5319	+	13.5861i	1.45104	+	0.837757i	0.452497	+	0.891766i	$0.350533\pi$
$264$	1.13456	+	0.834029i	0.0698276	+	0.0513309i
$265$		−	12.7379i		−	0.782484i
$266$	−10.3471	+	19.7967i	−0.634419	+	1.21381i
$267$	−3.92357			−0.240118
$268$	12.9533	+	12.6024i	0.791248	+	0.769813i
$269$	−13.1313	+	22.7441i	−0.800632	+	1.38673i	0.118569	+	0.992946i	$0.462169\pi$
$269$	−13.1313	+	22.7441i	−0.800632	+	1.38673i	−0.919201	+	0.393789i	$0.871164\pi$
$270$	1.74944	−	4.30693i	0.106468	−	0.262111i
$271$	−1.48034	−	2.56402i	−0.0899240	−	0.155753i	0.817555	−	0.575851i	$-0.195329\pi$
$271$	−1.48034	−	2.56402i	−0.0899240	−	0.155753i	−0.907479	+	0.420098i	$0.861996\pi$
$272$	−16.0933	−	26.1864i	−0.975797	−	1.58779i
$273$	2.82692	+	2.01552i	0.171093	+	0.121985i
$274$	1.70728	+	12.3142i	0.103140	+	0.743927i
$275$	0.428852	+	0.742794i	0.0258608	+	0.0447922i
$276$	1.04356	−	4.12008i	0.0628148	−	0.248000i
$277$	4.91040	+	2.83502i	0.295037	+	0.170340i	0.640211	−	0.768199i	$-0.278847\pi$
$277$	4.91040	+	2.83502i	0.295037	+	0.170340i	−0.345174	+	0.938539i	$0.612180\pi$
$278$	7.32872	+	9.41641i	0.439547	+	0.564759i
$279$	24.1730			1.44720
$280$	4.98864	−	5.57795i	0.298128	−	0.333346i
$281$	−14.7250			−0.878417			−0.439209	−	0.898385i	$-0.644741\pi$
$281$	−14.7250			−0.878417			−0.439209	+	0.898385i	$0.644741\pi$
$282$	0.208536	+	0.267940i	0.0124181	+	0.0159556i
$283$	12.5686	+	7.25646i	0.747123	+	0.431352i	0.824653	−	0.565638i	$-0.191370\pi$
$283$	12.5686	+	7.25646i	0.747123	+	0.431352i	−0.0775305	+	0.996990i	$0.524704\pi$
$284$	−16.8561	−	4.26941i	−1.00023	−	0.253343i
$285$	1.73263	+	3.00099i	0.102632	+	0.177764i
$286$	−0.376590	−	2.71625i	−0.0222682	−	0.160615i
$287$	−0.197453	+	2.05517i	−0.0116553	+	0.121313i
$288$	9.57557	+	11.6298i	0.564246	+	0.685294i
$289$	21.0226	+	36.4122i	1.23662	+	2.14189i
$290$	−4.13046	+	10.1687i	−0.242549	+	0.597127i
$291$	1.18841	−	2.05839i	0.0696659	−	0.120665i
$292$	−15.3314	+	15.7583i	−0.897204	+	0.922187i
$293$	8.13913			0.475493			0.237747	−	0.971327i	$-0.423591\pi$
$293$	8.13913			0.475493			0.237747	+	0.971327i	$0.423591\pi$
$294$	−5.73780	−	0.308988i	−0.334635	−	0.0180205i
$295$			8.93937i			0.520470i
$296$	−9.93879	−	7.30609i	−0.577680	−	0.424658i
$297$	2.44165	+	1.40968i	0.141679	+	0.0817982i
$298$	0.376825	−	0.927698i	0.0218289	−	0.0537401i
$299$	−7.16801	+	4.13845i	−0.414537	+	0.239333i
$300$	−0.315828	−	1.11710i	−0.0182344	−	0.0644960i
$301$	−19.3933	−	1.86323i	−1.11781	−	0.107395i
$302$	26.9139	−	3.73143i	1.54872	−	0.214720i
$303$	−2.80643	+	1.62029i	−0.161225	+	0.0930833i
$304$	−23.8709	+	0.655690i	−1.36909	+	0.0376064i
$305$	2.49343	−	4.31875i	0.142773	−	0.247291i
$306$	−17.7745	−	22.8378i	−1.01610	−	1.30555i
$307$			17.5176i			0.999782i	0.866088	+	0.499891i	$0.166627\pi$
$307$			17.5176i			0.999782i	−0.866088	+	0.499891i	$0.833373\pi$
$308$	2.93541	+	3.46147i	0.167261	+	0.197235i
$309$		−	5.49489i		−	0.312593i
$310$	10.1303	−	7.88435i	0.575363	−	0.447801i
$311$	1.45962	−	2.52814i	0.0827676	−	0.143358i	−0.821670	−	0.569963i	$-0.806957\pi$
$311$	1.45962	−	2.52814i	0.0827676	−	0.143358i	0.904438	+	0.426606i	$0.140291\pi$
$312$	−0.408571	+	3.68902i	−0.0231308	+	0.208850i
$313$	−19.1504	+	11.0565i	−1.08244	+	0.624950i	−0.931555	−	0.363601i	$-0.881547\pi$
$313$	−19.1504	+	11.0565i	−1.08244	+	0.624950i	−0.150890	+	0.988551i	$0.548214\pi$
$314$	2.70740	+	19.5278i	0.152787	+	1.10202i
$315$	4.09034	−	5.73700i	0.230464	−	0.323244i
$316$	−2.84626	−	10.0674i	−0.160114	−	0.566334i
$317$	16.0974	−	9.29387i	0.904123	−	0.521996i	0.0255873	−	0.999673i	$-0.491854\pi$
$317$	16.0974	−	9.29387i	0.904123	−	0.521996i	0.878536	+	0.477677i	$0.158521\pi$
$318$	−9.68753	−	3.93501i	−0.543250	−	0.220664i
$319$	−5.76475	−	3.32828i	−0.322764	−	0.186348i
$320$	7.80612	+	1.75058i	0.436375	+	0.0978604i
$321$			9.27108i			0.517461i
$322$	6.34541	−	12.1405i	0.353616	−	0.676562i
$323$	45.8739			2.55249
$324$	8.71747	+	8.48131i	0.484304	+	0.471184i
$325$	−1.13037	+	1.95786i	−0.0627018	+	0.108603i
$326$	8.84110	+	3.59120i	0.489663	+	0.198898i
$327$	2.50199	+	4.33357i	0.138360	+	0.239647i
$328$	−2.02135	+	0.886472i	−0.111610	+	0.0489472i
$329$	0.454021	+	0.995701i	0.0250310	+	0.0548948i
$330$	0.697396	−	0.0966893i	0.0383904	−	0.00532257i
$331$	−2.40439	−	4.16452i	−0.132157	−	0.228903i	0.792351	−	0.610066i	$-0.208857\pi$
$331$	−2.40439	−	4.16452i	−0.132157	−	0.228903i	−0.924508	+	0.381163i	$0.875524\pi$
$332$	8.89400	+	2.25272i	0.488122	+	0.123634i
$333$	−10.0582	−	5.80708i	−0.551184	−	0.318226i
$334$	−0.855347	+	0.665710i	−0.0468025	+	0.0364260i
$335$	9.03615			0.493697
$336$	−2.70109	−	5.51714i	−0.147356	−	0.300985i
$337$	3.08186			0.167880			0.0839398	−	0.996471i	$-0.473250\pi$
$337$	3.08186			0.167880			0.0839398	+	0.996471i	$0.473250\pi$
$338$	−8.80442	+	6.85242i	−0.478898	+	0.372722i
$339$	4.77122	+	2.75466i	0.259137	+	0.149613i
$340$	−14.8977	−	3.77338i	−0.807943	−	0.204640i
$341$	3.89272	+	6.74239i	0.210803	+	0.365121i
$342$	−22.2709	+	3.08771i	−1.20427	+	0.166964i
$343$	−17.7609	−	5.24880i	−0.958999	−	0.283408i
$344$	−8.36504	−	19.0741i	−0.451013	−	1.02841i
$345$	−1.06255	−	1.84038i	−0.0572055	−	0.0990829i
$346$	−9.12023	−	3.70457i	−0.490306	−	0.199159i
$347$	14.0669	−	24.3645i	0.755148	−	1.30795i	−0.190153	−	0.981755i	$-0.560898\pi$
$347$	14.0669	−	24.3645i	0.755148	−	1.30795i	0.945301	−	0.326200i	$-0.105768\pi$
$348$	6.45759	+	6.28265i	0.346163	+	0.336785i
$349$	−6.48305			−0.347030			−0.173515	−	0.984831i	$-0.555512\pi$
$349$	−6.48305			−0.347030			−0.173515	+	0.984831i	$0.555512\pi$
$350$	−0.157039	−	3.73836i	−0.00839410	−	0.199824i
$351$			7.43132i			0.396655i
$352$	−1.70181	+	4.54366i	−0.0907068	+	0.242178i
$353$	−2.83541	−	1.63702i	−0.150914	−	0.0871300i	0.422642	−	0.906297i	$-0.361103\pi$
$353$	−2.83541	−	1.63702i	−0.150914	−	0.0871300i	−0.573555	+	0.819167i	$0.694436\pi$
$354$	6.79863	+	2.76156i	0.361343	+	0.146775i
$355$	−7.52940	+	4.34710i	−0.399619	+	0.230720i
$356$	−3.67798	−	13.0092i	−0.194933	−	0.689488i
$357$	4.89588	+	10.7370i	0.259117	+	0.568263i
$358$	−3.35055	−	24.1667i	−0.177082	−	1.27725i
$359$	−5.52569	+	3.19026i	−0.291635	+	0.168375i	−0.638679	−	0.769473i	$-0.720519\pi$
$359$	−5.52569	+	3.19026i	−0.291635	+	0.168375i	0.347044	+	0.937849i	$0.387185\pi$
$360$	7.48656	+	0.829161i	0.394576	+	0.0437006i
$361$	8.32036	−	14.4113i	0.437913	−	0.758488i
$362$	−9.30078	+	7.23873i	−0.488838	+	0.380459i
$363$		−	5.95789i		−	0.312708i
$364$	−4.03282	+	11.2625i	−0.211377	+	0.590315i
$365$			10.9929i			0.575396i
$366$	−2.51425	−	3.23047i	−0.131422	−	0.168860i
$367$	14.0637	−	24.3590i	0.734117	−	1.27153i	−0.220993	−	0.975276i	$-0.570930\pi$
$367$	14.0637	−	24.3590i	0.734117	−	1.27153i	0.955110	−	0.296253i	$-0.0957370\pi$
$368$	14.6390	−	0.402107i	0.763112	−	0.0209613i
$369$	−1.79974	+	1.03908i	−0.0936908	+	0.0540924i
$370$	−6.10919	+	0.846998i	−0.317602	+	0.0440333i
$371$	−27.4409	−	19.5647i	−1.42466	−	1.01575i
$372$	−2.86680	−	10.1400i	−0.148636	−	0.525735i
$373$	−11.7985	+	6.81189i	−0.610905	+	0.352706i	−0.773320	−	0.634017i	$-0.781405\pi$
$373$	−11.7985	+	6.81189i	−0.610905	+	0.352706i	0.162415	+	0.986723i	$0.448072\pi$
$374$	3.50765	−	8.63542i	0.181376	−	0.446527i
$375$	−0.502680	−	0.290223i	−0.0259583	−	0.0149870i
$376$	−0.692917	+	0.942604i	−0.0357344	+	0.0486111i
$377$		−	17.5454i		−	0.903636i
$378$	−6.59125	−	10.3840i	−0.339017	−	0.534094i
$379$	27.0049			1.38715			0.693573	−	0.720386i	$-0.256035\pi$
$379$	27.0049			1.38715			0.693573	+	0.720386i	$0.256035\pi$
$380$	−8.32612	+	8.55796i	−0.427121	+	0.439014i
$381$	−0.530009	+	0.918002i	−0.0271532	+	0.0470307i
$382$	7.18359	−	17.6852i	0.367544	−	0.904851i
$383$	−12.3100	−	21.3215i	−0.629009	−	1.08948i	−0.987751	−	0.156039i	$-0.950127\pi$
$383$	−12.3100	−	21.3215i	−0.629009	−	1.08948i	0.358741	−	0.933437i	$-0.383206\pi$
$384$	3.74284	−	5.39597i	0.191001	−	0.275362i
$385$	2.25887	+	0.217024i	0.115123	+	0.0110605i
$386$	3.57749	+	25.8036i	0.182089	+	1.31337i
$387$	−9.80512	−	16.9830i	−0.498422	−	0.863292i
$388$	7.93895	+	2.01082i	0.403039	+	0.102084i
$389$	−10.2171	−	5.89882i	−0.518026	−	0.299082i	0.218101	−	0.975926i	$-0.430014\pi$
$389$	−10.2171	−	5.89882i	−0.518026	−	0.299082i	−0.736127	+	0.676844i	$0.763347\pi$
$390$	1.13981	+	1.46450i	0.0577167	+	0.0741581i
$391$	−28.1325			−1.42272
$392$	−4.35416	−	19.3143i	−0.219918	−	0.975518i
$393$	−0.396066			−0.0199789
$394$	4.82948	+	6.20523i	0.243306	+	0.312615i
$395$	−4.53017	−	2.61550i	−0.227938	−	0.131600i
$396$	−1.12166	+	4.42843i	−0.0563655	+	0.222537i
$397$	−11.8315	−	20.4928i	−0.593808	−	1.02851i	−0.993714	−	0.111949i	$-0.964291\pi$
$397$	−11.8315	−	20.4928i	−0.593808	−	1.02851i	0.399906	−	0.916556i	$-0.369043\pi$
$398$	0.333902	+	2.40835i	0.0167370	+	0.120720i
$399$	9.12617	+	0.876807i	0.456880	+	0.0438952i
$400$	3.40788	−	2.09436i	0.170394	−	0.104718i
$401$	14.6235	+	25.3287i	0.730263	+	1.26485i	0.956771	+	0.290844i	$0.0939360\pi$
$401$	14.6235	+	25.3287i	0.730263	+	1.26485i	−0.226507	+	0.974009i	$0.572731\pi$
$402$	2.79145	−	6.87224i	0.139225	−	0.342756i
$403$	−10.2605	+	17.7717i	−0.511110	+	0.885269i
$404$	−8.00311	−	7.78629i	−0.398169	−	0.387383i
$405$	6.08126			0.302180
$406$	15.5620	+	24.5167i	0.772330	+	1.21674i
$407$		−	3.74060i		−	0.185414i
$408$	−7.47198	+	10.1645i	−0.369918	+	0.503215i
$409$	−7.61896	−	4.39881i	−0.376733	−	0.217507i	0.299663	−	0.954045i	$-0.403126\pi$
$409$	−7.61896	−	4.39881i	−0.376733	−	0.217507i	−0.676396	+	0.736538i	$0.736459\pi$
$410$	−0.415318	+	1.02246i	−0.0205111	+	0.0504959i
$411$	4.41893	−	2.55127i	0.217970	−	0.125845i
$412$	18.2192	−	5.15095i	0.897596	−	0.253769i
$413$	19.2578	+	13.7303i	0.947615	+	0.675626i
$414$	13.6578	−	1.89356i	0.671245	−	0.0930636i
$415$	3.97283	−	2.29372i	0.195019	−	0.112594i
$416$	−12.6145	+	2.10343i	−0.618479	+	0.103129i
$417$	2.44872	−	4.24131i	0.119914	−	0.207698i
$418$	−4.44766	−	5.71463i	−0.217542	−	0.279512i
$419$			13.7370i			0.671094i	0.942023	+	0.335547i	$0.108921\pi$
$419$			13.7370i			0.671094i	−0.942023	+	0.335547i	$0.891079\pi$
$420$	−2.89164	−	1.03542i	−0.141097	−	0.0505236i
$421$		−	12.5052i		−	0.609467i	−0.952438	−	0.304734i	$-0.901433\pi$
$421$		−	12.5052i		−	0.609467i	0.952438	−	0.304734i	$-0.0985675\pi$
$422$	−4.68932	+	3.64967i	−0.228273	+	0.177663i
$423$	−0.550749	+	0.953925i	−0.0267783	+	0.0463814i
$424$	3.96600	−	35.8093i	0.192606	−	1.73905i
$425$	−6.65461	+	3.84204i	−0.322796	+	0.186366i
$426$	0.980100	+	7.06922i	0.0474860	+	0.342505i
$427$	−5.47399	−	12.0049i	−0.264905	−	0.580956i
$428$	−30.7398	+	8.69078i	−1.48586	+	0.420085i
$429$	−0.974723	+	0.562757i	−0.0470601	+	0.0271702i
$430$	−9.64831	−	3.91908i	−0.465283	−	0.188995i
$431$	−18.5456	−	10.7073i	−0.893310	−	0.515753i	−0.0182864	−	0.999833i	$-0.505821\pi$
$431$	−18.5456	−	10.7073i	−0.893310	−	0.515753i	−0.875024	+	0.484080i	$0.839154\pi$
$432$	6.25908	−	11.5631i	0.301140	−	0.556330i
$433$		−	32.5232i		−	1.56297i	−0.623926	−	0.781484i	$-0.714463\pi$
$433$		−	32.5232i		−	1.56297i	0.623926	−	0.781484i	$-0.285537\pi$
$434$	−1.42546	−	33.9333i	−0.0684241	−	1.62885i
$435$	4.50478			0.215988
$436$	−12.0233	+	12.3581i	−0.575810	+	0.591844i
$437$	−10.9285	+	18.9287i	−0.522780	+	0.905481i
$438$	8.36042	+	3.39594i	0.399476	+	0.162264i
$439$	13.0049	+	22.5251i	0.620688	+	1.07506i	0.989358	+	0.145503i	$0.0464800\pi$
$439$	13.0049	+	22.5251i	0.620688	+	1.07506i	−0.368670	+	0.929560i	$0.620187\pi$
$440$	0.974334	+	2.22169i	0.0464495	+	0.105915i
$441$	−6.07654	−	17.6234i	−0.289359	−	0.839210i
$442$	24.3346	−	3.37383i	1.15748	−	0.160477i
$443$	−2.21951	−	3.84431i	−0.105452	−	0.182649i	0.808471	−	0.588537i	$-0.200296\pi$
$443$	−2.21951	−	3.84431i	−0.105452	−	0.182649i	−0.913923	+	0.405888i	$0.866962\pi$
$444$	−1.24309	+	4.90786i	−0.0589945	+	0.232917i
$445$	−5.85397	−	3.37979i	−0.277505	−	0.160217i
$446$	−1.81400	+	1.41182i	−0.0858954	+	0.0668517i
$447$	−0.410974			−0.0194384
$448$	15.7610	−	14.1277i	0.744635	−	0.667471i
$449$	−18.7677			−0.885704			−0.442852	−	0.896595i	$-0.646033\pi$
$449$	−18.7677			−0.885704			−0.442852	+	0.896595i	$0.646033\pi$
$450$	2.97209	−	2.31316i	0.140106	−	0.109043i
$451$	−0.579646	−	0.334659i	−0.0272945	−	0.0157585i
$452$	−4.66097	+	18.4020i	−0.219233	+	0.865558i
$453$	−5.57607	−	9.65803i	−0.261986	−	0.453774i
$454$	−3.21263	+	0.445410i	−0.150776	+	0.0209041i
$455$	2.48158	+	5.44229i	0.116338	+	0.255139i
$456$	3.93645	+	8.97597i	0.184341	+	0.420338i
$457$	3.10017	+	5.36965i	0.145020	+	0.251182i	0.929380	−	0.369124i	$-0.120342\pi$
$457$	3.10017	+	5.36965i	0.145020	+	0.251182i	−0.784361	+	0.620305i	$0.787009\pi$
$458$	1.93617	+	0.786460i	0.0904714	+	0.0367488i
$459$	−12.6292	+	21.8745i	−0.589482	+	1.02101i
$460$	5.10605	−	5.24823i	0.238071	−	0.244700i
$461$	30.5190			1.42141			0.710707	−	0.703488i	$-0.248375\pi$
$461$	30.5190			1.42141			0.710707	+	0.703488i	$0.248375\pi$
$462$	0.862865	−	1.65089i	0.0401441	−	0.0768063i
$463$		−	8.45400i		−	0.392891i	−0.980515	−	0.196445i	$-0.937060\pi$
$463$		−	8.45400i		−	0.392891i	0.980515	−	0.196445i	$-0.0629399\pi$
$464$	−14.7778	+	27.3006i	−0.686041	+	1.26740i
$465$	−4.56286	−	2.63437i	−0.211598	−	0.122166i
$466$	−20.8280	−	8.46017i	−0.964837	−	0.391910i
$467$	−15.3274	+	8.84925i	−0.709265	+	0.409494i	−0.810789	−	0.585339i	$-0.800962\pi$
$467$	−15.3274	+	8.84925i	−0.709265	+	0.409494i	0.101524	+	0.994833i	$0.467628\pi$
$468$	−11.5869	+	3.27587i	−0.535606	+	0.151427i
$469$	13.8790	−	19.4663i	0.640872	−	0.898871i
$470$	0.0803301	+	0.579401i	0.00370535	+	0.0267258i
$471$	7.00753	−	4.04580i	0.322890	−	0.186421i
$472$	−2.78331	+	25.1307i	−0.128112	+	1.15673i
$473$	3.15795	−	5.46974i	0.145203	−	0.251499i
$474$	−3.38862	+	2.63734i	−0.155645	+	0.121137i
$475$			5.96998i			0.273922i
$476$	−31.0109	+	26.2981i	−1.42138	+	1.20537i
$477$		−	33.9221i		−	1.55319i
$478$	−3.37858	−	4.34102i	−0.154533	−	0.198554i
$479$	−14.9353	+	25.8686i	−0.682409	+	1.18197i	0.291834	+	0.956469i	$0.405734\pi$
$479$	−14.9353	+	25.8686i	−0.682409	+	1.18197i	−0.974244	+	0.225498i	$0.927599\pi$
$480$	−0.540054	−	3.23878i	−0.0246500	−	0.147829i
$481$	8.53858	−	4.92975i	0.389326	−	0.224777i
$482$	41.2099	−	5.71348i	1.87706	−	0.260242i
$483$	−5.59669	−	0.537709i	−0.254658	−	0.0244666i
$484$	19.7544	−	5.58497i	0.897926	−	0.253862i
$485$	3.54622	−	2.04741i	0.161026	−	0.0929682i
$486$	7.12696	−	17.5458i	0.323286	−	0.795891i
$487$	−9.38052	−	5.41585i	−0.425072	−	0.245415i	0.272173	−	0.962248i	$-0.412258\pi$
$487$	−9.38052	−	5.41585i	−0.425072	−	0.245415i	−0.697245	+	0.716833i	$0.745591\pi$
$488$	8.35429	−	11.3647i	0.378181	−	0.514455i
$489$		−	3.91665i		−	0.177117i
$490$	−8.29465	−	5.40360i	−0.374714	−	0.244110i
$491$	−21.5731			−0.973581			−0.486790	−	0.873519i	$-0.661832\pi$
$491$	−21.5731			−0.973581			−0.486790	+	0.873519i	$0.661832\pi$
$492$	0.649311	+	0.631721i	0.0292732	+	0.0284802i
$493$	29.8177	−	51.6458i	1.34292	−	2.32601i
$494$	7.18308	−	17.6839i	0.323182	−	0.795637i
$495$	1.14207	+	1.97812i	0.0513322	+	0.0889100i
$496$	30.9335	−	19.0107i	1.38896	−	0.853604i
$497$	−2.19988	+	22.8973i	−0.0986781	+	1.02708i
$498$	−0.517142	−	3.73002i	−0.0231737	−	0.167146i
$499$	−12.4350	−	21.5380i	−0.556667	−	0.964175i	−0.997772	−	0.0667197i	$-0.978747\pi$
$499$	−12.4350	−	21.5380i	−0.556667	−	0.964175i	0.441105	−	0.897456i	$-0.354587\pi$
$500$	0.491065	−	1.93878i	0.0219611	−	0.0867047i
$501$	0.385263	+	0.222431i	0.0172123	+	0.00993750i
$502$	6.30820	+	8.10518i	0.281549	+	0.361752i
$503$	−27.6964			−1.23492			−0.617460	−	0.786602i	$-0.711838\pi$
$503$	−27.6964			−1.23492			−0.617460	+	0.786602i	$0.711838\pi$
$504$	13.2852	−	14.8545i	0.591768	−	0.661674i
$505$	−5.58292			−0.248437
$506$	2.72756	+	3.50454i	0.121255	+	0.155796i
$507$	3.96566	+	2.28958i	0.176121	+	0.101684i
$508$	−3.54062	−	0.896789i	−0.157090	−	0.0397886i
$509$	13.3901	+	23.1924i	0.593508	+	1.02799i	0.993756	+	0.111578i	$0.0355906\pi$
$509$	13.3901	+	23.1924i	0.593508	+	1.02799i	−0.400248	+	0.916407i	$0.631076\pi$
$510$	0.866229	+	6.24790i	0.0383573	+	0.276662i
$511$	23.6817	+	16.8845i	1.04762	+	0.746926i
$512$	21.3998	+	7.35176i	0.945747	+	0.324905i
$513$	9.81200	+	16.9949i	0.433210	+	0.750342i
$514$	1.42405	−	3.50585i	0.0628122	−	0.154636i
$515$	4.73334	−	8.19839i	0.208576	−	0.361264i
$516$	−5.96113	+	6.12712i	−0.262424	+	0.269731i
$517$	−0.354762			−0.0156024
$518$	−7.55870	+	14.4618i	−0.332110	+	0.635415i
$519$			4.04030i			0.177350i
$520$	−3.78734	+	5.15207i	−0.166086	+	0.225933i
$521$	7.67918	+	4.43358i	0.336431	+	0.194238i	0.658693	−	0.752412i	$-0.271110\pi$
$521$	7.67918	+	4.43358i	0.336431	+	0.194238i	−0.322262	+	0.946651i	$0.604443\pi$
$522$	−10.9998	+	27.0801i	−0.481446	+	1.18526i
$523$	−31.3535	+	18.1020i	−1.37099	+	0.791544i	−0.991053	−	0.133467i	$-0.957389\pi$
$523$	−31.3535	+	18.1020i	−1.37099	+	0.791544i	−0.379941	+	0.925011i	$0.624056\pi$
$524$	−0.371276	−	1.31322i	−0.0162193	−	0.0573684i
$525$	−1.39731	+	0.637145i	−0.0609834	+	0.0278073i
$526$	38.0633	−	5.27722i	1.65964	−	0.230098i
$527$	−60.4044	+	34.8745i	−2.63126	+	1.51916i
$528$	1.99065	−	0.0546795i	0.0866320	−	0.00237962i
$529$	−4.79803	+	8.31043i	−0.208610	+	0.361323i
$530$	−11.0642	−	14.2160i	−0.480597	−	0.617502i
$531$			23.8063i			1.03310i
$532$	5.64774	+	31.0812i	0.244861	+	1.34754i
$533$		−	1.76419i		−	0.0764157i
$534$	−4.37884	+	3.40801i	−0.189491	+	0.147479i
$535$	−7.98617	+	13.8325i	−0.345272	+	0.598029i
$536$	25.4028	+	2.81344i	1.09723	+	0.121522i
$537$	−8.67218	+	5.00688i	−0.374232	+	0.216063i
$538$	5.10056	+	36.7891i	0.219901	+	1.58609i
$539$	3.93702	−	4.53289i	0.169579	−	0.195245i
$540$	−1.78856	−	6.32625i	−0.0769675	−	0.272238i
$541$	−6.18844	+	3.57290i	−0.266062	+	0.153611i	−0.627097	−	0.778941i	$-0.715757\pi$
$541$	−6.18844	+	3.57290i	−0.266062	+	0.153611i	0.361035	+	0.932552i	$0.382424\pi$
$542$	−3.87921	−	1.57571i	−0.166627	−	0.0676825i
$543$	4.18923	+	2.41865i	0.179777	+	0.103794i
$544$	−40.7062	−	15.2463i	−1.74526	−	0.653682i
$545$			8.62091i			0.369279i
$546$	4.90562	−	0.206073i	0.209941	−	0.00881912i
$547$	18.9413			0.809870			0.404935	−	0.914345i	$-0.367294\pi$
$547$	18.9413			0.809870			0.404935	+	0.914345i	$0.367294\pi$
$548$	12.6015	+	12.2601i	0.538309	+	0.523726i
$549$	6.64021	−	11.5012i	0.283397	−	0.490859i
$550$	1.12381	+	0.456482i	0.0479192	+	0.0194645i
$551$	−23.1662	−	40.1251i	−0.986915	−	1.70939i
$552$	−2.41406	−	5.50458i	−0.102749	−	0.234291i
$553$	−12.5926	+	5.74197i	−0.535490	+	0.244174i
$554$	7.94268	−	1.10120i	0.337452	−	0.0467855i
$555$	1.26571	+	2.19228i	0.0537264	+	0.0930569i
$556$	16.3582	+	4.14330i	0.693742	+	0.175715i
$557$	14.4152	+	8.32262i	0.610791	+	0.352641i	0.773275	−	0.634071i	$-0.218617\pi$
$557$	14.4152	+	8.32262i	0.610791	+	0.352641i	−0.162484	+	0.986711i	$0.551951\pi$
$558$	26.9779	−	20.9967i	1.14206	−	0.888860i
$559$	16.6475			0.704115
$560$	0.722478	−	10.5583i	0.0305303	−	0.446170i
$561$	−3.82553			−0.161514
$562$	−16.4336	+	12.7901i	−0.693208	+	0.539518i
$563$	−16.0054	−	9.24075i	−0.674549	−	0.389451i	0.123249	−	0.992376i	$-0.460669\pi$
$563$	−16.0054	−	9.24075i	−0.674549	−	0.389451i	−0.797798	+	0.602925i	$0.794002\pi$
$564$	0.465466	+	0.117896i	0.0195997	+	0.00496432i
$565$	4.74578	+	8.21993i	0.199656	+	0.345815i
$566$	20.3299	−	2.81860i	0.854529	−	0.118475i
$567$	9.34046	−	13.1007i	0.392262	−	0.550177i
$568$	−22.5204	+	9.87643i	−0.944936	+	0.414406i
$569$	−15.4243	−	26.7157i	−0.646620	−	1.11998i	−0.983925	−	0.178583i	$-0.942849\pi$
$569$	−15.4243	−	26.7157i	−0.646620	−	1.11998i	0.337305	−	0.941395i	$-0.390485\pi$
$570$	4.54034	+	1.84425i	0.190174	+	0.0772472i
$571$	15.9507	−	27.6274i	0.667515	−	1.15617i	−0.311082	−	0.950383i	$-0.600692\pi$
$571$	15.9507	−	27.6274i	0.667515	−	1.15617i	0.978597	−	0.205786i	$-0.0659751\pi$
$572$	−2.77963	−	2.70432i	−0.116222	−	0.113073i
$573$	−7.83460			−0.327295
$574$	1.56476	+	2.46515i	0.0653119	+	0.102893i
$575$		−	3.66114i		−	0.152680i
$576$	20.7883	+	4.66194i	0.866181	+	0.194247i
$577$	0.0890408	+	0.0514077i	0.00370682	+	0.00214013i	0.501852	−	0.864953i	$-0.332652\pi$
$577$	0.0890408	+	0.0514077i	0.00370682	+	0.00214013i	−0.498145	+	0.867093i	$0.665985\pi$
$578$	55.0896	+	22.3770i	2.29143	+	0.930761i
$579$	9.25957	−	5.34602i	0.384815	−	0.222173i
$580$	4.22282	+	14.9363i	0.175343	+	0.620198i
$581$	1.16075	−	12.0816i	0.0481560	−	0.501228i
$582$	−0.461611	−	3.32949i	−0.0191344	−	0.138012i
$583$	9.46165	−	5.46268i	0.391861	−	0.226241i
$584$	−3.42269	+	30.9037i	−0.141632	+	1.27881i
$585$	−3.01028	+	5.21395i	−0.124460	+	0.215570i
$586$	9.08355	−	7.06966i	0.375238	−	0.292045i
$587$			16.8744i			0.696481i	0.937405	+	0.348241i	$0.113221\pi$
$587$			16.8744i			0.696481i	−0.937405	+	0.348241i	$0.886779\pi$
$588$	−6.67197	+	4.63902i	−0.275147	+	0.191310i
$589$			54.1899i			2.23286i
$590$	7.76474	+	9.97664i	0.319669	+	0.410732i
$591$	1.61366	−	2.79494i	0.0663771	−	0.114968i
$592$	−17.4381	+	0.478992i	−0.716702	+	0.0196865i
$593$	−10.5741	+	6.10497i	−0.434227	+	0.250701i	−0.701146	−	0.713018i	$-0.747328\pi$
$593$	−10.5741	+	6.10497i	−0.434227	+	0.250701i	0.266919	+	0.963719i	$0.413994\pi$
$594$	3.94941	−	0.547559i	0.162046	−	0.0224666i
$595$	−1.94429	+	20.2370i	−0.0797082	+	0.829636i
$596$	−0.385251	−	1.36265i	−0.0157805	−	0.0558165i
$597$	0.864235	−	0.498966i	0.0353708	−	0.0204213i
$598$	−4.40508	+	10.8448i	−0.180137	+	0.443477i
$599$	−2.85986	−	1.65114i	−0.116851	−	0.0674637i	0.440436	−	0.897784i	$-0.354824\pi$
$599$	−2.85986	−	1.65114i	−0.116851	−	0.0674637i	−0.557286	+	0.830320i	$0.688157\pi$
$600$	−1.32279	−	0.972397i	−0.0540028	−	0.0396979i
$601$			1.17354i			0.0478696i	0.999714	+	0.0239348i	$0.00761942\pi$
$601$			1.17354i			0.0478696i	−0.999714	+	0.0239348i	$0.992381\pi$
$602$	−23.2620	+	14.7656i	−0.948088	+	0.601801i
$603$	24.0640			0.979962
$604$	26.7957	−	27.5419i	1.09030	−	1.12066i
$605$	5.13217	−	8.88918i	0.208652	−	0.361397i
$606$	−1.72468	+	4.24596i	−0.0700604	+	0.172481i
$607$	19.3297	+	33.4800i	0.784567	+	1.35891i	0.929258	+	0.369432i	$0.120448\pi$
$607$	19.3297	+	33.4800i	0.784567	+	1.35891i	−0.144691	+	0.989477i	$0.546219\pi$
$608$	−26.0712	+	21.4661i	−1.05733	+	0.870565i
$609$	6.91908	−	9.70452i	0.280375	−	0.393247i
$610$	−0.968516	−	6.98567i	−0.0392141	−	0.282841i
$611$	−0.467542	−	0.809807i	−0.0189147	−	0.0327613i
$612$	−39.6739	−	10.0488i	−1.60372	−	0.406200i
$613$	−5.85186	−	3.37857i	−0.236354	−	0.136459i	0.377146	−	0.926154i	$-0.376906\pi$
$613$	−5.85186	−	3.37857i	−0.236354	−	0.136459i	−0.613500	+	0.789695i	$0.710239\pi$
$614$	15.2158	+	19.5502i	0.614060	+	0.788984i
$615$	0.452956			0.0182649
$616$	6.28265	+	1.31341i	0.253135	+	0.0529189i
$617$	−41.1014			−1.65468			−0.827340	−	0.561702i	$-0.810147\pi$
$617$	−41.1014			−1.65468			−0.827340	+	0.561702i	$0.810147\pi$
$618$	−4.77287	−	6.13249i	−0.191993	−	0.246685i
$619$	−40.4897	−	23.3768i	−1.62742	−	0.939591i	−0.984859	−	0.173357i	$-0.944539\pi$
$619$	−40.4897	−	23.3768i	−1.62742	−	0.939591i	−0.642561	−	0.766234i	$-0.722128\pi$
$620$	4.45742	−	17.5984i	0.179014	−	0.706769i
$621$	−6.01728	−	10.4222i	−0.241465	−	0.418230i
$622$	−0.566957	−	4.08932i	−0.0227329	−	0.163967i
$623$	−16.2723	+	7.41988i	−0.651937	+	0.297271i
$624$	2.74831	+	4.47196i	0.110020	+	0.179021i
$625$	−0.500000	−	0.866025i	−0.0200000	−	0.0346410i
$626$	−11.7688	+	28.9735i	−0.470377	+	1.15801i
$627$	−1.48608	+	2.57397i	−0.0593483	+	0.102794i
$628$	19.9834	+	19.4421i	0.797426	+	0.775823i
$629$	33.5116			1.33620
$630$	−0.418209	−	9.95556i	−0.0166618	−	0.396639i
$631$			27.1538i			1.08098i	0.841352	+	0.540488i	$0.181760\pi$
$631$			27.1538i			1.08098i	−0.841352	+	0.540488i	$0.818240\pi$
$632$	−11.9210	−	8.76327i	−0.474194	−	0.348584i
$633$	2.11215	+	1.21945i	0.0839504	+	0.0484688i
$634$	9.89264	−	24.3545i	0.392887	−	0.967242i
$635$	−1.58155	+	0.913107i	−0.0627618	+	0.0362355i
$636$	−14.2296	+	4.02300i	−0.564239	+	0.159522i
$637$	15.5357	+	3.01304i	0.615548	+	0.119381i
$638$	−9.32461	+	1.29279i	−0.369165	+	0.0511822i
$639$	−20.0514	+	11.5767i	−0.793222	+	0.457967i
$640$	10.2324	−	4.82669i	0.404473	−	0.190792i
$641$	−9.04928	+	15.6738i	−0.357425	+	0.619079i	−0.987530	−	0.157432i	$-0.949679\pi$
$641$	−9.04928	+	15.6738i	−0.357425	+	0.619079i	0.630105	+	0.776510i	$0.283012\pi$
$642$	8.05287	+	10.3468i	0.317821	+	0.408357i
$643$		−	28.6157i		−	1.12849i	−0.825606	−	0.564247i	$-0.809167\pi$
$643$		−	28.6157i		−	1.12849i	0.825606	−	0.564247i	$-0.190833\pi$
$644$	−3.46352	−	19.0608i	−0.136482	−	0.751101i
$645$			4.27425i			0.168298i
$646$	51.1968	−	39.8461i	2.01431	−	1.56772i
$647$	4.83689	−	8.37773i	0.190158	−	0.329363i	−0.755145	−	0.655558i	$-0.772433\pi$
$647$	4.83689	−	8.37773i	0.190158	−	0.329363i	0.945302	+	0.326195i	$0.105767\pi$
$648$	17.0959	+	1.89342i	0.671589	+	0.0743807i
$649$	−6.64011	+	3.83367i	−0.260647	+	0.150485i
$650$	0.439067	+	3.16689i	0.0172216	+	0.124215i
$651$	−12.6834	+	5.78341i	−0.497103	+	0.226670i
$652$	12.9863	−	3.67150i	0.508582	−	0.143787i
$653$	−4.11750	+	2.37724i	−0.161130	+	0.0930287i	−0.578397	−	0.815755i	$-0.696321\pi$
$653$	−4.11750	+	2.37724i	−0.161130	+	0.0930287i	0.417267	+	0.908784i	$0.362988\pi$
$654$	6.55644	+	2.66318i	0.256377	+	0.104139i
$655$	−0.590932	−	0.341175i	−0.0230896	−	0.0133308i
$656$	−1.48591	+	2.74508i	−0.0580149	+	0.107177i
$657$			29.2751i			1.14213i
$658$	1.37157	+	0.716874i	0.0534694	+	0.0279466i
$659$	−31.5514			−1.22907			−0.614534	−	0.788890i	$-0.710656\pi$
$659$	−31.5514			−1.22907			−0.614534	+	0.788890i	$0.710656\pi$
$660$	0.694334	−	0.713668i	0.0270269	−	0.0277795i
$661$	12.7700	−	22.1183i	0.496695	−	0.860301i	−0.503298	−	0.864113i	$-0.667880\pi$
$661$	12.7700	−	22.1183i	0.496695	−	0.860301i	0.999993	+	0.00381217i	$0.00121346\pi$
$662$	−6.30069	−	2.55930i	−0.244883	−	0.0994698i
$663$	−5.04168	−	8.73245i	−0.195803	−	0.339140i
$664$	11.8827	−	5.21122i	0.461139	−	0.202235i
$665$	12.8610	+	9.16954i	0.498727	+	0.355580i
$666$	−16.2693	+	2.25563i	−0.630422	+	0.0874038i
$667$	14.2069	+	24.6070i	0.550092	+	0.952788i
$668$	−0.376360	+	1.48591i	−0.0145618	+	0.0574916i
$669$	0.817056	+	0.471727i	0.0315892	+	0.0182380i
$670$	10.0846	−	7.84881i	0.389604	−	0.303226i
$671$	4.27725			0.165122
$672$	−7.80670	−	3.81115i	−0.301150	−	0.147018i
$673$	27.1625			1.04704			0.523519	−	0.852014i	$-0.324619\pi$
$673$	27.1625			1.04704			0.523519	+	0.852014i	$0.324619\pi$
$674$	3.43946	−	2.67691i	0.132483	−	0.103111i
$675$	−2.84672	−	1.64356i	−0.109570	−	0.0632605i
$676$	−3.87402	+	15.2951i	−0.149001	+	0.588272i
$677$	1.06336	+	1.84180i	0.0408683	+	0.0707860i	0.885736	−	0.464189i	$-0.153654\pi$
$677$	1.06336	+	1.84180i	0.0408683	+	0.0707860i	−0.844868	+	0.534975i	$0.820321\pi$
$678$	7.71755	−	1.06999i	0.296391	−	0.0410926i
$679$	1.03611	−	10.7842i	0.0397621	−	0.413861i
$680$	−19.9039	+	8.72896i	−0.763281	+	0.334740i
$681$	0.665598	+	1.15285i	0.0255058	+	0.0441773i
$682$	10.2009	+	4.14351i	0.390611	+	0.158663i
$683$	14.2239	−	24.6366i	0.544264	−	0.942692i	−0.454389	−	0.890803i	$-0.650142\pi$
$683$	14.2239	−	24.6366i	0.544264	−	0.942692i	0.998653	−	0.0518890i	$-0.0165242\pi$
$684$	−22.1731	+	22.7906i	−0.847811	+	0.871419i
$685$	8.79073			0.335877
$686$	−24.3809	+	9.56931i	−0.930867	+	0.365358i
$687$		−	0.857733i		−	0.0327245i
$688$	−25.9035	−	14.0215i	−0.987561	−	0.534565i
$689$	24.9391	+	14.3986i	0.950104	+	0.548543i
$690$	−2.78440	−	1.13100i	−0.106000	−	0.0430565i
$691$	20.6371	−	11.9149i	0.785074	−	0.453262i	−0.0531518	−	0.998586i	$-0.516927\pi$
$691$	20.6371	−	11.9149i	0.785074	−	0.453262i	0.838225	+	0.545324i	$0.183593\pi$
$692$	−13.3963	+	3.78741i	−0.509250	+	0.143976i
$693$	6.01556	+	0.577952i	0.228512	+	0.0219546i
$694$	−5.46394	−	39.4101i	−0.207408	−	1.49599i
$695$	7.30699	−	4.21869i	0.277170	−	0.160024i
$696$	12.6640	+	1.40258i	0.480028	+	0.0531647i
$697$	2.99817	−	5.19299i	0.113564	−	0.196699i
$698$	−7.23531	+	5.63119i	−0.273860	+	0.213144i
$699$			9.22688i			0.348993i
$700$	−3.42240	−	4.03573i	−0.129355	−	0.152536i
$701$		−	37.3873i		−	1.41210i	−0.708162	−	0.706050i	$-0.750475\pi$
$701$		−	37.3873i		−	1.41210i	0.708162	−	0.706050i	$-0.249525\pi$
$702$	6.45485	+	8.29361i	0.243623	+	0.313022i
$703$	13.0181	−	22.5479i	0.490986	−	0.850412i
$704$	2.04735	+	6.54908i	0.0771624	+	0.246828i
$705$	0.207917	−	0.120041i	0.00783062	−	0.00452101i
$706$	−4.58633	+	0.635864i	−0.172609	+	0.0239311i
$707$	−8.57504	+	12.0271i	−0.322498	+	0.452327i
$708$	9.98620	−	2.82331i	0.375304	−	0.106106i
$709$	38.0453	−	21.9655i	1.42882	−	0.824931i	0.431794	−	0.901972i	$-0.357881\pi$
$709$	38.0453	−	21.9655i	1.42882	−	0.824931i	0.997028	+	0.0770416i	$0.0245474\pi$
$710$	−4.62717	+	11.3916i	−0.173655	+	0.427517i
$711$	−12.0642	−	6.96528i	−0.452444	−	0.261219i
$712$	−15.4046	−	11.3240i	−0.577311	−	0.424387i
$713$		−	33.2324i		−	1.24456i
$714$	14.7902	+	7.73032i	0.553508	+	0.289300i
$715$	−1.93905			−0.0725164
$716$	−24.7305	−	24.0605i	−0.924223	−	0.899185i
$717$	−1.12887	+	1.95527i	−0.0421586	+	0.0730209i
$718$	−3.39580	+	8.36006i	−0.126730	+	0.311995i
$719$	18.9380	+	32.8015i	0.706267	+	1.22329i	0.966232	+	0.257673i	$0.0829556\pi$
$719$	18.9380	+	32.8015i	0.706267	+	1.22329i	−0.259965	+	0.965618i	$0.583711\pi$
$720$	9.07547	−	5.57746i	0.338223	−	0.207860i
$721$	−10.3914	−	22.7891i	−0.386997	−	0.848712i
$722$	−3.23185	−	23.3106i	−0.120277	−	0.867529i
$723$	−8.53793	−	14.7881i	−0.317529	−	0.549976i
$724$	−4.09242	+	16.1573i	−0.152094	+	0.600483i
$725$	6.72114	+	3.88045i	0.249617	+	0.144116i
$726$	−5.17503	−	6.64921i	−0.192063	−	0.246775i
$727$	−27.8236			−1.03192			−0.515960	−	0.856613i	$-0.672565\pi$
$727$	−27.8236			−1.03192			−0.515960	+	0.856613i	$0.672565\pi$
$728$	5.28184	+	16.0722i	0.195758	+	0.595677i
$729$	10.4709			0.387813
$730$	9.54847	+	12.2685i	0.353405	+	0.454077i
$731$	49.0028	+	28.2918i	1.81243	+	1.04641i
$732$	−5.61199	−	1.42144i	−0.207425	−	0.0525378i
$733$	−9.92259	−	17.1864i	−0.366499	−	0.634796i	0.622516	−	0.782607i	$-0.286110\pi$
$733$	−9.92259	−	17.1864i	−0.366499	−	0.634796i	−0.989016	+	0.147811i	$0.952777\pi$
$734$	−5.46270	−	39.4012i	−0.201632	−	1.45432i
$735$	−0.773597	+	3.98879i	−0.0285345	+	0.147129i
$736$	15.9884	−	13.1642i	0.589340	−	0.485241i
$737$	3.87517	+	6.71199i	0.142744	+	0.247239i
$738$	−1.10603	+	2.72291i	−0.0407134	+	0.100232i
$739$	17.2053	−	29.8004i	0.632906	−	1.09623i	−0.354048	−	0.935227i	$-0.615195\pi$
$739$	17.2053	−	29.8004i	0.632906	−	1.09623i	0.986955	−	0.160999i	$-0.0514715\pi$
$740$	−6.08236	+	6.25173i	−0.223592	+	0.229818i
$741$	−7.83405			−0.287791
$742$	−47.6189	+	2.00035i	−1.74815	+	0.0734353i
$743$			23.5668i			0.864583i	0.901734	+	0.432292i	$0.142295\pi$
$743$			23.5668i			0.864583i	−0.901734	+	0.432292i	$0.857705\pi$
$744$	−12.0071	−	8.82651i	−0.440201	−	0.323595i
$745$	−0.613174	−	0.354016i	−0.0224650	−	0.0129702i
$746$	−7.25075	+	17.8505i	−0.265469	+	0.653554i
$747$	10.5800	−	6.10835i	0.387101	−	0.223493i
$748$	−3.58608	−	12.6842i	−0.131120	−	0.463779i
$749$	17.5326	+	38.4502i	0.640626	+	1.40494i
$750$	−0.813096	+	0.112730i	−0.0296901	+	0.00411633i
$751$	0.519753	−	0.300079i	0.0189660	−	0.0109501i	−0.490487	−	0.871449i	$-0.663181\pi$
$751$	0.519753	−	0.300079i	0.0189660	−	0.0109501i	0.509453	+	0.860498i	$0.329848\pi$
$752$	0.0454281	+	1.65385i	0.00165659	+	0.0603096i
$753$	2.10774	−	3.65071i	0.0768103	−	0.133039i
$754$	−15.2400	−	19.5813i	−0.555007	−	0.713109i
$755$		−	19.2131i		−	0.699235i
$756$	−16.3756	−	5.86370i	−0.595574	−	0.213261i
$757$			16.6446i			0.604957i	0.953156	+	0.302478i	$0.0978140\pi$
$757$			16.6446i			0.604957i	−0.953156	+	0.302478i	$0.902186\pi$
$758$	30.1384	−	23.4565i	1.09467	−	0.851977i
$759$	0.911350	−	1.57850i	0.0330799	−	0.0572961i
$760$	−1.85878	+	16.7830i	−0.0674250	+	0.608785i
$761$	20.6135	−	11.9012i	0.747240	−	0.431419i	−0.0774556	−	0.996996i	$-0.524680\pi$
$761$	20.6135	−	11.9012i	0.747240	−	0.431419i	0.824696	+	0.565576i	$0.191346\pi$
$762$	0.205870	+	1.48489i	0.00745787	+	0.0537918i
$763$	18.5718	+	13.2412i	0.672344	+	0.479364i
$764$	−7.34421	−	25.9769i	−0.265704	−	0.939811i
$765$	−17.7218	+	10.2317i	−0.640733	+	0.369927i
$766$	−32.2582	−	13.1030i	−1.16554	−	0.473432i
$767$	−17.5021	−	10.1048i	−0.631963	−	0.364864i
$768$	−0.509816	−	9.27312i	−0.0183964	−	0.334615i
$769$		−	9.41310i		−	0.339445i	−0.985492	−	0.169722i	$-0.945713\pi$
$769$		−	9.41310i		−	0.339445i	0.985492	−	0.169722i	$-0.0542871\pi$
$770$	2.70948	−	1.71985i	0.0976430	−	0.0619792i
$771$	−1.55311			−0.0559337
$772$	26.4056	+	25.6902i	0.950358	+	0.924612i
$773$	−4.52236	+	7.83296i	−0.162658	+	0.281732i	−0.935821	−	0.352475i	$-0.885340\pi$
$773$	−4.52236	+	7.83296i	−0.162658	+	0.281732i	0.773163	+	0.634207i	$0.218673\pi$
$774$	−25.6943	−	10.4368i	−0.923561	−	0.375144i
$775$	−4.53853	−	7.86097i	−0.163029	−	0.282374i
$776$	10.6067	−	4.65163i	0.380760	−	0.166984i
$777$	6.66682	+	0.640522i	0.239171	+	0.0229786i
$778$	−16.5263	+	2.29126i	−0.592497	+	0.0821457i
$779$	−2.32937	−	4.03458i	−0.0834582	−	0.144554i
$780$	2.54414	+	0.644394i	0.0910948	+	0.0230730i
$781$	−6.45800	−	3.72853i	−0.231085	−	0.133417i
$782$	−31.3968	+	24.4359i	−1.12275	+	0.873827i
$783$	25.5110			0.911687
$784$	−21.6358	−	17.7734i	−0.772707	−	0.634763i
$785$	13.9403			0.497552
$786$	−0.442024	+	0.344024i	−0.0157665	+	0.0122709i
$787$	6.44710	+	3.72224i	0.229814	+	0.132683i	0.610486	−	0.792027i	$-0.290974\pi$
$787$	6.44710	+	3.72224i	0.229814	+	0.132683i	−0.380672	+	0.924710i	$0.624307\pi$
$788$	10.7797	+	2.73035i	0.384012	+	0.0972649i
$789$	−7.88601	−	13.6590i	−0.280749	−	0.486272i
$790$	−7.32765	+	1.01593i	−0.260706	+	0.0361451i
$791$	24.9972	+	2.40163i	0.888798	+	0.0853923i
$792$	2.59473	+	5.91656i	0.0921998	+	0.210236i
$793$	5.63701	+	9.76359i	0.200176	+	0.346715i
$794$	−31.0045	−	12.5938i	−1.10031	−	0.446938i
$795$	−3.69683	+	6.40310i	−0.131113	+	0.227095i
$796$	2.46454	+	2.39778i	0.0873535	+	0.0849870i
$797$	−43.9511			−1.55683			−0.778413	−	0.627752i	$-0.783975\pi$
$797$	−43.9511			−1.55683			−0.778413	+	0.627752i	$0.783975\pi$
$798$	10.9467	−	6.94845i	0.387509	−	0.245972i
$799$		−	3.17827i		−	0.112439i
$800$	1.98415	−	5.29747i	0.0701501	−	0.187294i
$801$	−15.5896	−	9.00066i	−0.550832	−	0.318023i
$802$	38.3208	+	15.5657i	1.35316	+	0.549643i
$803$	−8.16548	+	4.71434i	−0.288153	+	0.166365i
$804$	−2.85387	−	10.0943i	−0.100648	−	0.355999i
$805$	−7.88709	−	5.62329i	−0.277983	−	0.198195i
$806$	3.98544	+	28.7460i	0.140381	+	1.01254i
$807$	13.2017	−	7.62202i	0.464723	−	0.268308i
$808$	−15.6949	−	1.73826i	−0.552145	−	0.0611519i
$809$	9.55706	−	16.5533i	0.336008	−	0.581984i	−0.647670	−	0.761921i	$-0.724256\pi$
$809$	9.55706	−	16.5533i	0.336008	−	0.581984i	0.983678	+	0.179938i	$0.0575896\pi$
$810$	6.78690	−	5.28219i	0.238467	−	0.185597i
$811$			19.1345i			0.671902i	0.941879	+	0.335951i	$0.109058\pi$
$811$			19.1345i			0.671902i	−0.941879	+	0.335951i	$0.890942\pi$
$812$	38.6629	+	13.8443i	1.35680	+	0.485838i
$813$			1.71851i			0.0602707i
$814$	−3.24909	−	4.17463i	−0.113880	−	0.146321i
$815$	3.37383	−	5.84364i	0.118180	−	0.204694i
$816$	0.489868	+	17.8340i	0.0171488	+	0.624316i
$817$	38.0717	−	21.9807i	1.33196	−	0.769007i
$818$	−12.3238	+	1.70862i	−0.430893	+	0.0597403i
$819$	6.60866	+	14.4933i	0.230925	+	0.506436i
$820$	0.424604	+	1.50185i	0.0148278	+	0.0524469i
$821$	−38.2969	+	22.1108i	−1.33657	+	0.771671i	−0.986298	−	0.164976i	$-0.947245\pi$
$821$	−38.2969	+	22.1108i	−1.33657	+	0.771671i	−0.350275	+	0.936647i	$0.613912\pi$
$822$	2.71564	−	6.68559i	0.0947188	−	0.233187i
$823$	−19.0151	−	10.9784i	−0.662825	−	0.382682i	0.130527	−	0.991445i	$-0.458333\pi$
$823$	−19.0151	−	10.9784i	−0.662825	−	0.382682i	−0.793353	+	0.608762i	$0.791666\pi$
$824$	15.8591	−	21.5739i	0.552480	−	0.751561i
$825$		−	0.497851i		−	0.0173329i
$826$	33.4186	−	1.40383i	1.16278	−	0.0488456i
$827$	−23.2027			−0.806837			−0.403419	−	0.915016i	$-0.632178\pi$
$827$	−23.2027			−0.806837			−0.403419	+	0.915016i	$0.632178\pi$
$828$	13.5978	−	13.9765i	0.472558	−	0.485716i
$829$	−16.0468	+	27.7939i	−0.557330	+	0.965324i	0.440388	+	0.897807i	$0.354841\pi$
$829$	−16.0468	+	27.7939i	−0.557330	+	0.965324i	−0.997718	+	0.0675163i	$0.978493\pi$
$830$	2.44149	−	6.01067i	0.0847454	−	0.208633i
$831$	−1.64558	−	2.85022i	−0.0570844	−	0.0988731i
$832$	−12.2512	+	13.3045i	−0.424735	+	0.461251i
$833$	40.6097	+	35.2714i	1.40704	+	1.22208i
$834$	−0.951149	−	6.86040i	−0.0329356	−	0.237556i
$835$	0.383208	+	0.663736i	0.0132615	+	0.0229695i
$836$	−9.92747	−	2.51449i	−0.343349	−	0.0869654i
$837$	−25.8399	−	14.9187i	−0.893157	−	0.515664i
$838$	11.9319	+	15.3309i	0.412182	+	0.529598i
$839$	−33.2555			−1.14811			−0.574054	−	0.818818i	$-0.694630\pi$
$839$	−33.2555			−1.14811			−0.574054	+	0.818818i	$0.694630\pi$
$840$	−4.12654	+	1.35611i	−0.142379	+	0.0467902i
$841$	−31.2316			−1.07695
$842$	−10.8621	−	13.9563i	−0.374331	−	0.480965i
$843$	7.40195	+	4.27352i	0.254937	+	0.147188i
$844$	−2.06334	+	8.14630i	−0.0710232	+	0.280407i
$845$	3.94451	+	6.83210i	0.135695	+	0.235031i
$846$	0.213926	+	1.54299i	0.00735492	+	0.0530492i
$847$	−11.2670	−	24.7094i	−0.387139	−	0.849023i
$848$	−26.6778	−	43.4093i	−0.916120	−	1.49068i
$849$	−4.21198	−	7.29536i	−0.144555	−	0.250376i
$850$	−4.08957	+	10.0681i	−0.140271	+	0.345331i
$851$	−7.98343	+	13.8277i	−0.273668	+	0.474008i
$852$	7.23416	+	7.03818i	0.247838	+	0.241124i
$853$	−49.5028			−1.69494			−0.847472	−	0.530840i	$-0.821877\pi$
$853$	−49.5028			−1.69494			−0.847472	+	0.530840i	$0.821877\pi$
$854$	−16.5366	−	8.64313i	−0.565871	−	0.295762i
$855$			15.8986i			0.543719i
$856$	−26.7578	+	36.3998i	−0.914564	+	1.24412i
$857$	−2.87350	−	1.65902i	−0.0981569	−	0.0566709i	0.450118	−	0.892969i	$-0.351382\pi$
$857$	−2.87350	−	1.65902i	−0.0981569	−	0.0566709i	−0.548275	+	0.836298i	$0.684715\pi$
$858$	−0.599014	+	1.47470i	−0.0204500	+	0.0503455i
$859$	13.1372	−	7.58478i	0.448236	−	0.258789i	−0.258849	−	0.965918i	$-0.583343\pi$
$859$	13.1372	−	7.58478i	0.448236	−	0.258789i	0.707085	+	0.707128i	$0.250010\pi$
$860$	−14.1720	+	4.00671i	−0.483260	+	0.136628i
$861$	0.695714	−	0.975790i	0.0237099	−	0.0332548i
$862$	−29.9979	+	4.15901i	−1.02173	+	0.141656i
$863$	−3.04939	+	1.76057i	−0.103802	+	0.0599304i	−0.551003	−	0.834504i	$-0.685755\pi$
$863$	−3.04939	+	1.76057i	−0.103802	+	0.0599304i	0.447200	+	0.894434i	$0.352421\pi$
$864$	−3.05837	−	18.3415i	−0.104048	−	0.623989i
$865$	−3.48034	+	6.02813i	−0.118335	+	0.204963i
$866$	−28.2497	−	36.2970i	−0.959965	−	1.23342i
$867$		−	24.4049i		−	0.828835i
$868$	−31.0654	−	36.6326i	−1.05443	−	1.24339i
$869$		−	4.48665i		−	0.152199i
$870$	5.02749	−	3.91286i	0.170448	−	0.132658i
$871$	−10.2142	+	17.6915i	−0.346095	+	0.599455i
$872$	−2.68416	+	24.2354i	−0.0908970	+	0.820716i
$873$	9.44388	−	5.45243i	0.319627	−	0.184537i
$874$	4.24491	+	30.6175i	0.143586	+	1.03565i
$875$	−2.63362	−	0.253028i	−0.0890327	−	0.00855392i
$876$	12.2802	−	3.47188i	0.414911	−	0.117304i
$877$	16.0458	−	9.26407i	0.541830	−	0.312826i	−0.203990	−	0.978973i	$-0.565391\pi$
$877$	16.0458	−	9.26407i	0.541830	−	0.312826i	0.745820	+	0.666147i	$0.232058\pi$
$878$	34.0792	+	13.8427i	1.15012	+	0.467169i
$879$	−4.09138	−	2.36216i	−0.137999	−	0.0796737i
$880$	3.01716	+	1.63318i	0.101708	+	0.0550545i
$881$			19.2789i			0.649524i	0.945796	+	0.324762i	$0.105284\pi$
$881$			19.2789i			0.649524i	−0.945796	+	0.324762i	$0.894716\pi$
$882$	−22.0893	−	14.3902i	−0.743786	−	0.484544i
$883$	−17.7992			−0.598992			−0.299496	−	0.954098i	$-0.596818\pi$
$883$	−17.7992			−0.598992			−0.299496	+	0.954098i	$0.596818\pi$
$884$	24.2278	−	24.9024i	0.814868	−	0.837558i
$885$	2.59441	−	4.49365i	0.0872100	−	0.151052i
$886$	−5.81622	−	2.36251i	−0.195400	−	0.0793701i
$887$	9.38801	+	16.2605i	0.315218	+	0.545974i	0.979484	−	0.201522i	$-0.0645889\pi$
$887$	9.38801	+	16.2605i	0.315218	+	0.545974i	−0.664266	+	0.747497i	$0.731256\pi$
$888$	2.87564	+	6.55709i	0.0965002	+	0.220042i
$889$	−0.462084	+	4.80956i	−0.0154978	+	0.161307i
$890$	−9.46892	+	1.31280i	−0.317399	+	0.0440052i
$891$	2.60796	+	4.51712i	0.0873700	+	0.151329i
$892$	−0.798176	+	3.15128i	−0.0267249	+	0.105513i
$893$	−2.13847	−	1.23464i	−0.0715611	−	0.0413158i
$894$	−0.458662	+	0.356973i	−0.0153399	+	0.0119390i
$895$	−17.2519			−0.576666
$896$	5.31843	−	29.4570i	0.177676	−	0.984089i
$897$	4.80429			0.160411
$898$	−20.9454	+	16.3017i	−0.698958	+	0.543994i
$899$	61.0082	+	35.2231i	2.03474	+	1.17476i
$900$	1.30775	−	5.16312i	0.0435915	−	0.172104i
$901$	48.9396	+	84.7659i	1.63042	+	2.82396i
$902$	−0.937590	+	0.129990i	−0.0312183	+	0.00432821i
$903$	9.20788	+	6.56499i	0.306419	+	0.218469i
$904$	10.7822	+	24.5858i	0.358611	+	0.817711i
$905$	4.16689	+	7.21727i	0.138512	+	0.239910i
$906$	−14.6121	−	5.93532i	−0.485453	−	0.197188i
$907$	−13.6403	+	23.6257i	−0.452919	+	0.784479i	−0.998566	−	0.0535366i	$-0.982951\pi$
$907$	−13.6403	+	23.6257i	−0.452919	+	0.784479i	0.545647	+	0.838015i	$0.316284\pi$
$908$	−3.19852	+	3.28759i	−0.106147	+	0.109102i
$909$	−14.8678			−0.493133
$910$	7.49671	+	3.91828i	0.248514	+	0.129890i
$911$		−	27.0878i		−	0.897459i	−0.893668	−	0.448729i	$-0.851877\pi$
$911$		−	27.0878i		−	0.897459i	0.893668	−	0.448729i	$-0.148123\pi$
$912$	12.1897	+	6.59828i	0.403643	+	0.218491i
$913$	3.40751	+	1.96733i	0.112772	+	0.0651091i
$914$	8.12397	+	3.29990i	0.268717	+	0.109151i
$915$	−2.50680	+	1.44730i	−0.0828722	+	0.0478463i
$916$	2.84395	−	0.804045i	0.0939669	−	0.0265664i
$917$	−1.64262	+	0.749003i	−0.0542440	+	0.0247343i
$918$	4.90553	+	35.3824i	0.161907	+	1.16779i
$919$	29.8324	−	17.2237i	0.984080	−	0.568159i	0.0805808	−	0.996748i	$-0.474322\pi$
$919$	29.8324	−	17.2237i	0.984080	−	0.568159i	0.903500	+	0.428589i	$0.140989\pi$
$920$	1.13991	−	10.2923i	0.0375817	−	0.339328i
$921$	5.08401	−	8.80576i	0.167524	−	0.290160i
$922$	34.0603	−	26.5089i	1.12172	−	0.873023i
$923$		−	19.6554i		−	0.646965i
$924$	−0.470978	−	2.59193i	−0.0154940	−	0.0852684i
$925$			4.36117i			0.143394i
$926$	−7.34316	−	9.43496i	−0.241311	−	0.310052i
$927$	12.6053	−	21.8330i	0.414012	−	0.717089i
$928$	7.22085	+	43.3044i	0.237036	+	1.42154i
$929$	−20.0653	+	11.5847i	−0.658321	+	0.380082i	−0.791637	−	0.610992i	$-0.790771\pi$
$929$	−20.0653	+	11.5847i	−0.658321	+	0.380082i	0.133316	+	0.991074i	$0.457437\pi$
$930$	−7.38053	+	1.02326i	−0.242017	+	0.0335540i
$931$	39.5074	−	13.6221i	1.29480	−	0.446447i
$932$	−30.5932	+	8.64935i	−1.00211	+	0.283319i
$933$	−1.46745	+	0.847231i	−0.0480421	+	0.0277371i
$934$	−9.41938	+	23.1894i	−0.308212	+	0.758781i
$935$	−5.70769	−	3.29534i	−0.186661	−	0.107769i
$936$	−10.0860	+	13.7204i	−0.329671	+	0.448465i
$937$		−	20.4893i		−	0.669358i	−0.942332	−	0.334679i	$-0.891372\pi$
$937$		−	20.4893i		−	0.669358i	0.942332	−	0.334679i	$-0.108628\pi$
$938$	−1.41903	−	33.7804i	−0.0463330	−	1.10297i
$939$	12.8354			0.418867
$940$	0.592920	+	0.576857i	0.0193389	+	0.0188150i
$941$	26.9243	−	46.6343i	0.877708	−	1.52024i	0.0238591	−	0.999715i	$-0.492405\pi$
$941$	26.9243	−	46.6343i	0.877708	−	1.52024i	0.853849	−	0.520520i	$-0.174262\pi$
$942$	4.30646	−	10.6020i	0.140312	−	0.345432i
$943$	1.42850	+	2.47424i	0.0465184	+	0.0805723i
$944$	18.7223	+	30.4643i	0.609358	+	0.991528i
$945$	−7.91306	+	3.60821i	−0.257412	+	0.117375i
$946$	−1.22663	−	8.84741i	−0.0398813	−	0.287654i
$947$	6.99781	+	12.1206i	0.227398	+	0.393865i	0.957036	−	0.289968i	$-0.0936447\pi$
$947$	6.99781	+	12.1206i	0.227398	+	0.393865i	−0.729638	+	0.683834i	$0.760311\pi$
$948$	−1.49102	+	5.88672i	−0.0484262	+	0.191192i
$949$	−21.5226	−	12.4261i	−0.698655	−	0.403368i
$950$	5.18553	+	6.66271i	0.168241	+	0.216167i
$951$	−10.7892			−0.349863
$952$	−11.7667	+	56.2857i	−0.381362	+	1.82423i
$953$	51.5546			1.67002			0.835009	−	0.550237i	$-0.185462\pi$
$953$	51.5546			1.67002			0.835009	+	0.550237i	$0.185462\pi$
$954$	−29.4648	−	37.8583i	−0.953958	−	1.22571i
$955$	−11.6892	−	6.74878i	−0.378255	−	0.218385i
$956$	−7.54123	−	1.91009i	−0.243901	−	0.0617766i
$957$	1.93189	+	3.34612i	0.0624490	+	0.108165i
$958$	5.80125	+	41.8430i	0.187430	+	1.35189i
$959$	13.5020	−	18.9376i	0.436004	−	0.611528i
$960$	−3.41592	−	3.14549i	−0.110249	−	0.101520i
$961$	−25.6965	−	44.5077i	−0.828921	−	1.43573i
$962$	5.24736	−	12.9184i	0.169182	−	0.416506i
$963$	−21.2678	+	36.8370i	−0.685347	+	1.18706i
$964$	41.0289	−	42.1714i	1.32145	−	1.35825i
$965$	18.4204			0.592974
$966$	−6.71315	+	4.26119i	−0.215992	+	0.137102i
$967$			30.7309i			0.988238i	0.869394	+	0.494119i	$0.164509\pi$
$967$			30.7309i			0.988238i	−0.869394	+	0.494119i	$0.835491\pi$
$968$	17.1954	−	23.3917i	0.552682	−	0.751837i
$969$	−23.0599	−	13.3136i	−0.740791	−	0.427696i
$970$	2.17932	−	5.36523i	0.0699738	−	0.172267i
$971$	26.8740	−	15.5157i	0.862429	−	0.497923i	−0.00239622	−	0.999997i	$-0.500763\pi$
$971$	26.8740	−	15.5157i	0.862429	−	0.497923i	0.864825	+	0.502074i	$0.167429\pi$
$972$	−7.28632	−	25.7721i	−0.233709	−	0.826642i
$973$	2.13490	−	22.2209i	0.0684417	−	0.712369i
$974$	−15.1732	+	2.10366i	−0.486180	+	0.0674056i
$975$	1.13643	−	0.656120i	0.0363950	−	0.0210127i
$976$	−0.547713	−	19.9399i	−0.0175319	−	0.638262i
$977$	−11.3575	+	19.6718i	−0.363360	+	0.629357i	−0.988511	−	0.151146i	$-0.951704\pi$
$977$	−11.3575	+	19.6718i	−0.363360	+	0.629357i	0.625152	+	0.780503i	$0.285037\pi$
$978$	−3.40200	−	4.37111i	−0.108784	−	0.139773i
$979$		−	5.79772i		−	0.185296i
$980$	−13.9507	+	1.17414i	−0.445638	+	0.0375065i
$981$			22.9582i			0.732999i
$982$	−24.0763	+	18.7384i	−0.768307	+	0.597967i
$983$	19.6854	−	34.0962i	0.627868	−	1.08750i	−0.360111	−	0.932910i	$-0.617261\pi$
$983$	19.6854	−	34.0962i	0.627868	−	1.08750i	0.987979	−	0.154590i	$-0.0494056\pi$
$984$	1.27337	+	0.141030i	0.0405935	+	0.00449586i
$985$	4.81516	−	2.78004i	0.153424	−	0.0885793i
$986$	−11.5820	−	83.5382i	−0.368846	−	2.66040i
$987$	0.0607477	−	0.632287i	0.00193362	−	0.0201259i
$988$	−7.34370	−	25.9751i	−0.233634	−	0.826377i
$989$	−23.3477	+	13.4798i	−0.742415	+	0.428634i
$990$	2.99279	+	1.21565i	0.0951170	+	0.0386359i
$991$	8.19692	+	4.73249i	0.260384	+	0.150333i	0.624510	−	0.781017i	$-0.285299\pi$
$991$	8.19692	+	4.73249i	0.260384	+	0.150333i	−0.364126	+	0.931350i	$0.618632\pi$
$992$	18.0102	−	48.0855i	0.571825	−	1.52671i
$993$			2.79123i			0.0885771i
$994$	17.4334	+	27.4649i	0.552955	+	0.871135i
$995$	1.71925			0.0545040
$996$	−3.81705	−	3.71364i	−0.120948	−	0.117671i
$997$	12.3369	−	21.3682i	0.390715	−	0.676738i	−0.601829	−	0.798625i	$-0.705561\pi$
$997$	12.3369	−	21.3682i	0.390715	−	0.676738i	0.992544	+	0.121887i	$0.0388945\pi$
$998$	−32.5858	−	13.2361i	−1.03149	−	0.418983i
$999$	7.16783	+	12.4150i	0.226780	+	0.392795i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bj.f.171.10	yes	24
4.3	odd	2		1120.2.bz.e.591.9		24
7.5	odd	6		280.2.bj.e.131.3	✓	24
8.3	odd	2		280.2.bj.e.171.3	yes	24
8.5	even	2		1120.2.bz.f.591.9		24
28.19	even	6		1120.2.bz.f.271.9		24
56.5	odd	6		1120.2.bz.e.271.9		24
56.19	even	6	inner	280.2.bj.f.131.10	yes	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bj.e.131.3	✓	24	7.5	odd	6
280.2.bj.e.171.3	yes	24	8.3	odd	2
280.2.bj.f.131.10	yes	24	56.19	even	6	inner
280.2.bj.f.171.10	yes	24	1.1	even	1	trivial
1120.2.bz.e.271.9		24	56.5	odd	6
1120.2.bz.e.591.9		24	4.3	odd	2
1120.2.bz.f.271.9		24	28.19	even	6
1120.2.bz.f.591.9		24	8.5	even	2

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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.bj (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(1.11603 - 0.868601i) q^{2} +(-0.502680 - 0.290223i) q^{3} +(0.491065 - 1.93878i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-0.813096 + 0.112730i) q^{6} +(-2.63362 - 0.253028i) q^{7} +(-1.13598 - 2.59028i) q^{8} +(-1.33154 - 2.30630i) q^{9} +O(q^{10})\)	\(q+(1.11603 - 0.868601i) q^{2} +(-0.502680 - 0.290223i) q^{3} +(0.491065 - 1.93878i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-0.813096 + 0.112730i) q^{6} +(-2.63362 - 0.253028i) q^{7} +(-1.13598 - 2.59028i) q^{8} +(-1.33154 - 2.30630i) q^{9} +(-1.31025 - 0.532213i) q^{10} +(0.428852 - 0.742794i) q^{11} +(-0.809526 + 0.832067i) q^{12} +2.26075 q^{13} +(-3.15900 + 2.00518i) q^{14} +0.580445i q^{15} +(-3.51771 - 1.90413i) q^{16} +(6.65461 + 3.84204i) q^{17} +(-3.48930 - 1.41733i) q^{18} +(5.17016 - 2.98499i) q^{19} +(-1.92456 + 0.544114i) q^{20} +(1.25044 + 0.891530i) q^{21} +(-0.166578 - 1.20148i) q^{22} +(-3.17064 + 1.83057i) q^{23} +(-0.180724 + 1.63177i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(2.52307 - 1.96369i) q^{26} +3.28711i q^{27} +(-1.78385 + 4.98176i) q^{28} -7.76090i q^{29} +(0.504175 + 0.647797i) q^{30} +(-4.53853 + 7.86097i) q^{31} +(-5.57981 + 0.930414i) q^{32} +(-0.431151 + 0.248925i) q^{33} +(10.7640 - 1.49235i) q^{34} +(1.09768 + 2.40730i) q^{35} +(-5.12527 + 1.44902i) q^{36} +(3.77689 - 2.18059i) q^{37} +(3.17731 - 7.82216i) q^{38} +(-1.13643 - 0.656120i) q^{39} +(-1.67526 + 2.27893i) q^{40} -0.780359i q^{41} +(2.16991 - 0.0911527i) q^{42} +7.36373 q^{43} +(-1.22952 - 1.19621i) q^{44} +(-1.33154 + 2.30630i) q^{45} +(-1.94851 + 4.79700i) q^{46} +(-0.206809 - 0.358203i) q^{47} +(1.21566 + 1.97809i) q^{48} +(6.87195 + 1.33276i) q^{49} +(0.194213 + 1.40081i) q^{50} +(-2.23010 - 3.86264i) q^{51} +(1.11017 - 4.38308i) q^{52} +(11.0314 + 6.36896i) q^{53} +(2.85519 + 3.66853i) q^{54} -0.857704 q^{55} +(2.33633 + 7.10926i) q^{56} -3.46525 q^{57} +(-6.74113 - 8.66143i) q^{58} +(-7.74172 - 4.46968i) q^{59} +(1.12535 + 0.285036i) q^{60} +(2.49343 + 4.31875i) q^{61} +(1.76289 + 12.7153i) q^{62} +(2.92322 + 6.41084i) q^{63} +(-5.41911 + 5.88501i) q^{64} +(-1.13037 - 1.95786i) q^{65} +(-0.264963 + 0.652308i) q^{66} +(-4.51807 + 7.82553i) q^{67} +(10.7167 - 11.0151i) q^{68} +2.12509 q^{69} +(3.31603 + 1.73318i) q^{70} -8.69420i q^{71} +(-4.46135 + 6.06897i) q^{72} +(-9.52015 - 5.49646i) q^{73} +(2.32107 - 5.71422i) q^{74} +(0.502680 - 0.290223i) q^{75} +(-3.24835 - 11.4896i) q^{76} +(-1.31738 + 1.84773i) q^{77} +(-1.83820 + 0.254855i) q^{78} +(4.53017 - 2.61550i) q^{79} +(0.109831 + 3.99849i) q^{80} +(-3.04063 + 5.26653i) q^{81} +(-0.677821 - 0.870908i) q^{82} +4.58743i q^{83} +(2.34252 - 1.98652i) q^{84} -7.68409i q^{85} +(8.21818 - 6.39615i) q^{86} +(-2.25239 + 3.90126i) q^{87} +(-2.41121 - 0.267050i) q^{88} +(5.85397 - 3.37979i) q^{89} +(0.517207 + 3.73049i) q^{90} +(-5.95396 - 0.572033i) q^{91} +(1.99208 + 7.04609i) q^{92} +(4.56286 - 2.63437i) q^{93} +(-0.541941 - 0.220133i) q^{94} +(-5.17016 - 2.98499i) q^{95} +(3.07489 + 1.15169i) q^{96} +4.09482i q^{97} +(8.82697 - 4.48158i) q^{98} -2.28414 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 3 q^{2} + 12 q^{3} + q^{4} - 12 q^{5} - 2 q^{6} + 10 q^{7} - 6 q^{8} + 12 q^{9}+O(q^{10}) \) 24 * q + 3 * q^2 + 12 * q^3 + q^4 - 12 * q^5 - 2 * q^6 + 10 * q^7 - 6 * q^8 + 12 * q^9	\( 24 q + 3 q^{2} + 12 q^{3} + q^{4} - 12 q^{5} - 2 q^{6} + 10 q^{7} - 6 q^{8} + 12 q^{9} - 3 q^{10} + 8 q^{11} + 10 q^{12} + 20 q^{13} + 5 q^{14} - 3 q^{16} + 6 q^{17} + 3 q^{18} + 18 q^{19} - 2 q^{20} - 26 q^{21} - 16 q^{22} + 18 q^{23} - 18 q^{24} - 12 q^{25} - 37 q^{26} - 41 q^{28} - 8 q^{30} - 6 q^{31} + 3 q^{32} + 12 q^{33} - 20 q^{34} - 8 q^{35} - 22 q^{36} + 15 q^{38} - 18 q^{39} + 3 q^{40} - 12 q^{42} + 32 q^{43} + 35 q^{44} + 12 q^{45} - 49 q^{46} - 14 q^{48} + 8 q^{49} - 22 q^{51} - 41 q^{52} + 30 q^{53} + 104 q^{54} - 16 q^{55} + 44 q^{56} - 44 q^{57} - 54 q^{58} - 18 q^{59} - 8 q^{60} + 22 q^{61} + 8 q^{62} - 12 q^{63} + 58 q^{64} - 10 q^{65} + 8 q^{66} - 8 q^{67} + 18 q^{68} - 12 q^{69} - q^{70} - 17 q^{72} + 30 q^{73} + 53 q^{74} - 12 q^{75} + 8 q^{76} - 32 q^{77} - 8 q^{78} + 6 q^{79} - 3 q^{80} - 4 q^{81} - 57 q^{82} + 42 q^{86} + 14 q^{87} - 17 q^{88} - 60 q^{89} + 24 q^{90} + 18 q^{91} - 38 q^{92} - 18 q^{93} + 19 q^{94} - 18 q^{95} - 74 q^{96} + 3 q^{98} - 56 q^{99}+O(q^{100}) \) 24 * q + 3 * q^2 + 12 * q^3 + q^4 - 12 * q^5 - 2 * q^6 + 10 * q^7 - 6 * q^8 + 12 * q^9 - 3 * q^10 + 8 * q^11 + 10 * q^12 + 20 * q^13 + 5 * q^14 - 3 * q^16 + 6 * q^17 + 3 * q^18 + 18 * q^19 - 2 * q^20 - 26 * q^21 - 16 * q^22 + 18 * q^23 - 18 * q^24 - 12 * q^25 - 37 * q^26 - 41 * q^28 - 8 * q^30 - 6 * q^31 + 3 * q^32 + 12 * q^33 - 20 * q^34 - 8 * q^35 - 22 * q^36 + 15 * q^38 - 18 * q^39 + 3 * q^40 - 12 * q^42 + 32 * q^43 + 35 * q^44 + 12 * q^45 - 49 * q^46 - 14 * q^48 + 8 * q^49 - 22 * q^51 - 41 * q^52 + 30 * q^53 + 104 * q^54 - 16 * q^55 + 44 * q^56 - 44 * q^57 - 54 * q^58 - 18 * q^59 - 8 * q^60 + 22 * q^61 + 8 * q^62 - 12 * q^63 + 58 * q^64 - 10 * q^65 + 8 * q^66 - 8 * q^67 + 18 * q^68 - 12 * q^69 - q^70 - 17 * q^72 + 30 * q^73 + 53 * q^74 - 12 * q^75 + 8 * q^76 - 32 * q^77 - 8 * q^78 + 6 * q^79 - 3 * q^80 - 4 * q^81 - 57 * q^82 + 42 * q^86 + 14 * q^87 - 17 * q^88 - 60 * q^89 + 24 * q^90 + 18 * q^91 - 38 * q^92 - 18 * q^93 + 19 * q^94 - 18 * q^95 - 74 * q^96 + 3 * q^98 - 56 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more