LMFDB - Embedded newform 690.2.r.a.169.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [690,2,Mod(49,690)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(690, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 11, 16]))

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

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

chi := DirichletCharacter("690.49");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 690 = 2 \cdot 3 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	690.r (of order $22$, degree $10$, 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:	$5.50967773947$
Analytic rank:	$0$
Dimension:	$120$
Relative dimension:	$12$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			169.5
Character	$\chi$	$=$	690.169
Dual form			690.2.r.a.49.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.989821 - 0.142315i) q^{2} +(-0.909632 + 0.415415i) q^{3} +(0.959493 + 0.281733i) q^{4} +(1.87948 + 1.21142i) q^{5} +(0.959493 - 0.281733i) q^{6} +(2.74068 - 4.26458i) q^{7} +(-0.909632 - 0.415415i) q^{8} +(0.654861 - 0.755750i) q^{9} +O(q^{10})$	\(q+(-0.989821 - 0.142315i) q^{2} +(-0.909632 + 0.415415i) q^{3} +(0.959493 + 0.281733i) q^{4} +(1.87948 + 1.21142i) q^{5} +(0.959493 - 0.281733i) q^{6} +(2.74068 - 4.26458i) q^{7} +(-0.909632 - 0.415415i) q^{8} +(0.654861 - 0.755750i) q^{9} +(-1.68795 - 1.46657i) q^{10} +(-0.403204 - 2.80435i) q^{11} +(-0.989821 + 0.142315i) q^{12} +(-2.12847 - 3.31197i) q^{13} +(-3.31970 + 3.83114i) q^{14} +(-2.21288 - 0.321184i) q^{15} +(0.841254 + 0.540641i) q^{16} +(0.255658 + 0.870691i) q^{17} +(-0.755750 + 0.654861i) q^{18} +(-4.80600 - 1.41117i) q^{19} +(1.46205 + 1.69186i) q^{20} +(-0.721439 + 5.01772i) q^{21} +2.83319i q^{22} +(-4.57928 - 1.42485i) q^{23} +1.00000 q^{24} +(2.06491 + 4.55370i) q^{25} +(1.63547 + 3.58117i) q^{26} +(-0.281733 + 0.959493i) q^{27} +(3.83114 - 3.31970i) q^{28} +(-1.25726 + 0.369165i) q^{29} +(2.14465 + 0.632841i) q^{30} +(3.27387 - 7.16878i) q^{31} +(-0.755750 - 0.654861i) q^{32} +(1.53174 + 2.38343i) q^{33} +(-0.129144 - 0.898213i) q^{34} +(10.3173 - 4.69508i) q^{35} +(0.841254 - 0.540641i) q^{36} +(-3.69128 - 3.19851i) q^{37} +(4.55625 + 2.08077i) q^{38} +(3.31197 + 2.12847i) q^{39} +(-1.20639 - 1.88271i) q^{40} +(3.86390 + 4.45917i) q^{41} +(1.42819 - 4.86398i) q^{42} +(-8.57031 + 3.91393i) q^{43} +(0.403204 - 2.80435i) q^{44} +(2.14633 - 0.627105i) q^{45} +(4.32989 + 2.06205i) q^{46} +3.73471i q^{47} +(-0.989821 - 0.142315i) q^{48} +(-7.76743 - 17.0083i) q^{49} +(-1.39583 - 4.80121i) q^{50} +(-0.594253 - 0.685805i) q^{51} +(-1.10917 - 3.77747i) q^{52} +(0.657037 - 1.02237i) q^{53} +(0.415415 - 0.909632i) q^{54} +(2.63944 - 5.75917i) q^{55} +(-4.26458 + 2.74068i) q^{56} +(4.95791 - 0.712840i) q^{57} +(1.29700 - 0.186481i) q^{58} +(10.9015 - 7.00594i) q^{59} +(-2.03276 - 0.931614i) q^{60} +(2.38973 - 5.23278i) q^{61} +(-4.26077 + 6.62989i) q^{62} +(-1.42819 - 4.86398i) q^{63} +(0.654861 + 0.755750i) q^{64} +(0.0117680 - 8.80327i) q^{65} +(-1.17695 - 2.57716i) q^{66} +(9.64160 + 1.38625i) q^{67} +0.907449i q^{68} +(4.75736 - 0.606212i) q^{69} +(-10.8804 + 3.17899i) q^{70} +(0.250795 - 1.74432i) q^{71} +(-0.909632 + 0.415415i) q^{72} +(-3.27795 + 11.1637i) q^{73} +(3.19851 + 3.69128i) q^{74} +(-3.76998 - 3.28439i) q^{75} +(-4.21375 - 2.70801i) q^{76} +(-13.0644 - 5.96632i) q^{77} +(-2.97535 - 2.57815i) q^{78} +(3.57155 - 2.29529i) q^{79} +(0.926176 + 2.03524i) q^{80} +(-0.142315 - 0.989821i) q^{81} +(-3.18996 - 4.96367i) q^{82} +(-3.81713 - 3.30756i) q^{83} +(-2.10587 + 4.61121i) q^{84} +(-0.574271 + 1.94616i) q^{85} +(9.04008 - 2.65441i) q^{86} +(0.990288 - 0.858089i) q^{87} +(-0.798201 + 2.71842i) q^{88} +(6.07089 + 13.2934i) q^{89} +(-2.21373 + 0.315267i) q^{90} -19.9576 q^{91} +(-3.99236 - 2.65727i) q^{92} +7.88096i q^{93} +(0.531504 - 3.69669i) q^{94} +(-7.32327 - 8.47437i) q^{95} +(0.959493 + 0.281733i) q^{96} +(12.2178 - 10.5868i) q^{97} +(5.26783 + 17.9406i) q^{98} +(-2.38343 - 1.53174i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 120 q + 12 q^{4} + 12 q^{6} + 12 q^{9}+O(q^{10}) $ 120 * q + 12 * q^4 + 12 * q^6 + 12 * q^9	$ 120 q + 12 q^{4} + 12 q^{6} + 12 q^{9} + 18 q^{10} - 8 q^{14} - 4 q^{15} - 12 q^{16} + 22 q^{20} + 14 q^{21} + 120 q^{24} + 52 q^{25} + 16 q^{29} + 8 q^{31} - 36 q^{34} - 90 q^{35} - 12 q^{36} + 22 q^{39} + 4 q^{40} + 16 q^{41} - 4 q^{49} - 4 q^{50} + 8 q^{51} - 12 q^{54} - 56 q^{55} + 8 q^{56} + 138 q^{59} + 4 q^{60} - 36 q^{61} + 12 q^{64} + 52 q^{65} + 96 q^{70} + 8 q^{71} + 8 q^{74} - 4 q^{75} - 60 q^{79} - 12 q^{81} + 8 q^{84} + 24 q^{85} - 8 q^{86} - 104 q^{89} + 4 q^{90} - 144 q^{91} - 24 q^{94} - 14 q^{95} + 12 q^{96} - 44 q^{99}+O(q^{100}) $ 120 * q + 12 * q^4 + 12 * q^6 + 12 * q^9 + 18 * q^10 - 8 * q^14 - 4 * q^15 - 12 * q^16 + 22 * q^20 + 14 * q^21 + 120 * q^24 + 52 * q^25 + 16 * q^29 + 8 * q^31 - 36 * q^34 - 90 * q^35 - 12 * q^36 + 22 * q^39 + 4 * q^40 + 16 * q^41 - 4 * q^49 - 4 * q^50 + 8 * q^51 - 12 * q^54 - 56 * q^55 + 8 * q^56 + 138 * q^59 + 4 * q^60 - 36 * q^61 + 12 * q^64 + 52 * q^65 + 96 * q^70 + 8 * q^71 + 8 * q^74 - 4 * q^75 - 60 * q^79 - 12 * q^81 + 8 * q^84 + 24 * q^85 - 8 * q^86 - 104 * q^89 + 4 * q^90 - 144 * q^91 - 24 * q^94 - 14 * q^95 + 12 * q^96 - 44 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/690\mathbb{Z}\right)^\times$.

$n$	$277$	$461$	$511$
$\chi(n)$	$-1$	$1$	$e\left(\frac{3}{11}\right)$

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 $

$2$	−0.989821	−	0.142315i	−0.699909	−	0.100632i
$2$	−0.989821	−	0.142315i	−0.699909	−	0.100632i
$3$	−0.909632	+	0.415415i	−0.525176	+	0.239840i
$3$	−0.909632	+	0.415415i	−0.525176	+	0.239840i
$4$	0.959493	+	0.281733i	0.479746	+	0.140866i
$5$	1.87948	+	1.21142i	0.840530	+	0.541765i
$5$	1.87948	+	1.21142i	0.840530	+	0.541765i
$6$	0.959493	−	0.281733i	0.391711	−	0.115017i
$7$	2.74068	−	4.26458i	1.03588	−	1.61186i	0.276727	−	0.960949i	$-0.410750\pi$
$7$	2.74068	−	4.26458i	1.03588	−	1.61186i	0.759153	−	0.650912i	$-0.225613\pi$
$8$	−0.909632	−	0.415415i	−0.321603	−	0.146871i
$9$	0.654861	−	0.755750i	0.218287	−	0.251917i
$10$	−1.68795	−	1.46657i	−0.533776	−	0.463770i
$11$	−0.403204	−	2.80435i	−0.121571	−	0.845543i	−0.955777	−	0.294091i	$-0.904983\pi$
$11$	−0.403204	−	2.80435i	−0.121571	−	0.845543i	0.834207	−	0.551452i	$-0.185926\pi$
$12$	−0.989821	+	0.142315i	−0.285737	+	0.0410828i
$13$	−2.12847	−	3.31197i	−0.590333	−	0.918575i	−0.999980	−	0.00633146i	$-0.997985\pi$
$13$	−2.12847	−	3.31197i	−0.590333	−	0.918575i	0.409647	−	0.912244i	$-0.365652\pi$
$14$	−3.31970	+	3.83114i	−0.887227	+	1.02391i
$15$	−2.21288	−	0.321184i	−0.571363	−	0.0829294i
$16$	0.841254	+	0.540641i	0.210313	+	0.135160i
$17$	0.255658	+	0.870691i	0.0620062	+	0.211174i	0.984669	−	0.174435i	$-0.0558098\pi$
$17$	0.255658	+	0.870691i	0.0620062	+	0.211174i	−0.922663	+	0.385608i	$0.873992\pi$
$18$	−0.755750	+	0.654861i	−0.178132	+	0.154352i
$19$	−4.80600	−	1.41117i	−1.10257	−	0.323744i	−0.320698	−	0.947181i	$-0.603918\pi$
$19$	−4.80600	−	1.41117i	−1.10257	−	0.323744i	−0.781874	+	0.623437i	$0.785736\pi$
$20$	1.46205	+	1.69186i	0.326925	+	0.378312i
$21$	−0.721439	+	5.01772i	−0.157431	+	1.09496i
$22$			2.83319i			0.604037i
$23$	−4.57928	−	1.42485i	−0.954846	−	0.297102i
$23$	−4.57928	−	1.42485i	−0.954846	−	0.297102i
$24$	1.00000			0.204124
$25$	2.06491	+	4.55370i	0.412982	+	0.910739i
$26$	1.63547	+	3.58117i	0.320741	+	0.702326i
$27$	−0.281733	+	0.959493i	−0.0542195	+	0.184655i
$28$	3.83114	−	3.31970i	0.724017	−	0.627364i
$29$	−1.25726	+	0.369165i	−0.233467	+	0.0685522i	−0.396373	−	0.918089i	$-0.629731\pi$
$29$	−1.25726	+	0.369165i	−0.233467	+	0.0685522i	0.162906	+	0.986642i	$0.447913\pi$
$30$	2.14465	+	0.632841i	0.391557	+	0.115540i
$31$	3.27387	−	7.16878i	0.588005	−	1.28755i	−0.348636	−	0.937258i	$-0.613355\pi$
$31$	3.27387	−	7.16878i	0.588005	−	1.28755i	0.936640	−	0.350292i	$-0.113918\pi$
$32$	−0.755750	−	0.654861i	−0.133599	−	0.115764i
$33$	1.53174	+	2.38343i	0.266641	+	0.414901i
$34$	−0.129144	−	0.898213i	−0.0221479	−	0.154042i
$35$	10.3173	−	4.69508i	1.74394	−	0.793614i
$36$	0.841254	−	0.540641i	0.140209	−	0.0901068i
$37$	−3.69128	−	3.19851i	−0.606843	−	0.525832i	0.296343	−	0.955081i	$-0.404233\pi$
$37$	−3.69128	−	3.19851i	−0.606843	−	0.525832i	−0.903186	+	0.429249i	$0.858778\pi$
$38$	4.55625	+	2.08077i	0.739121	+	0.337545i
$39$	3.31197	+	2.12847i	0.530340	+	0.340829i
$40$	−1.20639	−	1.88271i	−0.190748	−	0.297683i
$41$	3.86390	+	4.45917i	0.603439	+	0.696406i	0.972474	−	0.233010i	$-0.0748573\pi$
$41$	3.86390	+	4.45917i	0.603439	+	0.696406i	−0.369035	+	0.929415i	$0.620312\pi$
$42$	1.42819	−	4.86398i	0.220375	−	0.750528i
$43$	−8.57031	+	3.91393i	−1.30696	+	0.596868i	−0.942455	−	0.334333i	$-0.891489\pi$
$43$	−8.57031	+	3.91393i	−1.30696	+	0.596868i	−0.364505	+	0.931202i	$0.618762\pi$
$44$	0.403204	−	2.80435i	0.0607853	−	0.422771i
$45$	2.14633	−	0.627105i	0.319956	−	0.0934832i
$46$	4.32989	+	2.06205i	0.638408	+	0.304032i
$47$			3.73471i			0.544763i	0.962189	+	0.272382i	$0.0878113\pi$
$47$			3.73471i			0.544763i	−0.962189	+	0.272382i	$0.912189\pi$
$48$	−0.989821	−	0.142315i	−0.142868	−	0.0205414i
$49$	−7.76743	−	17.0083i	−1.10963	−	2.42976i
$50$	−1.39583	−	4.80121i	−0.197400	−	0.678994i
$51$	−0.594253	−	0.685805i	−0.0832121	−	0.0960318i
$52$	−1.10917	−	3.77747i	−0.153814	−	0.523841i
$53$	0.657037	−	1.02237i	0.0902509	−	0.140433i	−0.793193	−	0.608971i	$-0.791583\pi$
$53$	0.657037	−	1.02237i	0.0902509	−	0.140433i	0.883443	+	0.468538i	$0.155219\pi$
$54$	0.415415	−	0.909632i	0.0565308	−	0.123785i
$55$	2.63944	−	5.75917i	0.355902	−	0.776567i
$56$	−4.26458	+	2.74068i	−0.569879	+	0.366239i
$57$	4.95791	−	0.712840i	0.656691	−	0.0944180i
$58$	1.29700	−	0.186481i	0.170305	−	0.0244861i
$59$	10.9015	−	7.00594i	1.41925	−	0.912096i	0.419258	−	0.907867i	$-0.362290\pi$
$59$	10.9015	−	7.00594i	1.41925	−	0.912096i	0.999991	−	0.00422934i	$-0.00134624\pi$
$60$	−2.03276	−	0.931614i	−0.262428	−	0.120271i
$61$	2.38973	−	5.23278i	0.305973	−	0.669988i	−0.692714	−	0.721213i	$-0.743585\pi$
$61$	2.38973	−	5.23278i	0.305973	−	0.669988i	0.998687	+	0.0512243i	$0.0163123\pi$
$62$	−4.26077	+	6.62989i	−0.541118	+	0.841997i
$63$	−1.42819	−	4.86398i	−0.179935	−	0.612803i
$64$	0.654861	+	0.755750i	0.0818576	+	0.0944687i
$65$	0.0117680	−	8.80327i	0.00145963	−	1.09191i
$66$	−1.17695	−	2.57716i	−0.144872	−	0.317226i
$67$	9.64160	+	1.38625i	1.17791	+	0.169358i	0.703335	−	0.710858i	$-0.251693\pi$
$67$	9.64160	+	1.38625i	1.17791	+	0.169358i	0.474573	+	0.880216i	$0.342602\pi$
$68$			0.907449i			0.110044i
$69$	4.75736	−	0.606212i	0.572719	−	0.0729794i
$70$	−10.8804	+	3.17899i	−1.30046	+	0.379962i
$71$	0.250795	−	1.74432i	0.0297639	−	0.207012i	−0.969513	−	0.245041i	$-0.921199\pi$
$71$	0.250795	−	1.74432i	0.0297639	−	0.207012i	0.999277	+	0.0380284i	$0.0121077\pi$
$72$	−0.909632	+	0.415415i	−0.107201	+	0.0489571i
$73$	−3.27795	+	11.1637i	−0.383655	+	1.30661i	0.510895	+	0.859643i	$0.329314\pi$
$73$	−3.27795	+	11.1637i	−0.383655	+	1.30661i	−0.894551	+	0.446967i	$0.852504\pi$
$74$	3.19851	+	3.69128i	0.371820	+	0.429103i
$75$	−3.76998	−	3.28439i	−0.435320	−	0.379249i
$76$	−4.21375	−	2.70801i	−0.483350	−	0.310630i
$77$	−13.0644	−	5.96632i	−1.48883	−	0.679926i
$78$	−2.97535	−	2.57815i	−0.336892	−	0.291918i
$79$	3.57155	−	2.29529i	0.401831	−	0.258241i	−0.324080	−	0.946030i	$-0.605055\pi$
$79$	3.57155	−	2.29529i	0.401831	−	0.258241i	0.725911	+	0.687789i	$0.241418\pi$
$80$	0.926176	+	2.03524i	0.103550	+	0.227547i
$81$	−0.142315	−	0.989821i	−0.0158128	−	0.109980i
$82$	−3.18996	−	4.96367i	−0.352272	−	0.548146i
$83$	−3.81713	−	3.30756i	−0.418984	−	0.363052i	0.419707	−	0.907660i	$-0.362133\pi$
$83$	−3.81713	−	3.30756i	−0.418984	−	0.363052i	−0.838691	+	0.544608i	$0.816678\pi$
$84$	−2.10587	+	4.61121i	−0.229769	+	0.503125i
$85$	−0.574271	+	1.94616i	−0.0622884	+	0.211091i
$86$	9.04008	−	2.65441i	0.974817	−	0.286232i
$87$	0.990288	−	0.858089i	0.106170	−	0.0919968i
$88$	−0.798201	+	2.71842i	−0.0850885	+	0.289785i
$89$	6.07089	+	13.2934i	0.643513	+	1.40910i	0.897119	+	0.441789i	$0.145656\pi$
$89$	6.07089	+	13.2934i	0.643513	+	1.40910i	−0.253606	+	0.967308i	$0.581617\pi$
$90$	−2.21373	+	0.315267i	−0.233348	+	0.0332320i
$91$	−19.9576			−2.09213
$92$	−3.99236	−	2.65727i	−0.416232	−	0.277039i
$93$			7.88096i			0.817218i
$94$	0.531504	−	3.69669i	0.0548205	−	0.381285i
$95$	−7.32327	−	8.47437i	−0.751351	−	0.869452i
$96$	0.959493	+	0.281733i	0.0979278	+	0.0287542i
$97$	12.2178	−	10.5868i	1.24053	−	1.07493i	0.246131	−	0.969236i	$-0.420840\pi$
$97$	12.2178	−	10.5868i	1.24053	−	1.07493i	0.994399	−	0.105689i	$-0.0337050\pi$
$98$	5.26783	+	17.9406i	0.532132	+	1.81227i
$99$	−2.38343	−	1.53174i	−0.239543	−	0.153945i
$100$	0.698340	+	4.95099i	0.0698340	+	0.495099i
$101$	−6.54033	+	7.54795i	−0.650787	+	0.751049i	−0.981243	−	0.192773i	$-0.938252\pi$
$101$	−6.54033	+	7.54795i	−0.650787	+	0.751049i	0.330456	+	0.943821i	$0.392797\pi$
$102$	0.490604	+	0.763395i	0.0485771	+	0.0755874i
$103$	12.2758	−	1.76500i	1.20957	−	0.173910i	0.492126	−	0.870524i	$-0.336220\pi$
$103$	12.2758	−	1.76500i	1.20957	−	0.173910i	0.717446	+	0.696614i	$0.245311\pi$
$104$	0.560286	+	3.89687i	0.0549406	+	0.382120i
$105$	−7.43452	+	8.55675i	−0.725534	+	0.835053i
$106$	−0.795847	+	0.918457i	−0.0772995	+	0.0892084i
$107$	11.0839	+	5.06182i	1.07152	+	0.489345i	0.871474	−	0.490442i	$-0.163165\pi$
$107$	11.0839	+	5.06182i	1.07152	+	0.489345i	0.200043	+	0.979787i	$0.435892\pi$
$108$	−0.540641	+	0.841254i	−0.0520232	+	0.0809497i
$109$	−0.456803	+	0.134130i	−0.0437538	+	0.0128473i	−0.303536	−	0.952820i	$-0.598167\pi$
$109$	−0.456803	+	0.134130i	−0.0437538	+	0.0128473i	0.259782	+	0.965667i	$0.416349\pi$
$110$	−3.43219	+	5.32492i	−0.327246	+	0.507711i
$111$	4.68642	+	1.37606i	0.444815	+	0.130609i
$112$	4.61121	−	2.10587i	0.435719	−	0.198986i
$113$	7.77215	+	1.11747i	0.731142	+	0.105122i	0.497824	−	0.867278i	$-0.334133\pi$
$113$	7.77215	+	1.11747i	0.731142	+	0.105122i	0.233318	+	0.972400i	$0.425042\pi$
$114$	−5.00889			−0.469126
$115$	−6.88058	−	8.22543i	−0.641617	−	0.767025i
$116$	−1.31034			−0.121662
$117$	−3.89687	−	0.560286i	−0.360266	−	0.0517985i
$118$	−11.7876	+	5.38319i	−1.08513	+	0.495563i
$119$	4.41381	+	1.29601i	0.404614	+	0.118805i
$120$	1.87948	+	1.21142i	0.171572	+	0.110587i
$121$	2.85263	−	0.837607i	0.259330	−	0.0761461i
$122$	−3.11011	+	4.83942i	−0.281576	+	0.438141i
$123$	−5.36713	−	2.45109i	−0.483938	−	0.221007i
$124$	5.16093	−	5.95604i	0.463466	−	0.534868i
$125$	−1.63550	+	11.0601i	−0.146283	+	0.989243i
$126$	0.721439	+	5.01772i	0.0642709	+	0.447014i
$127$	12.2486	−	1.76108i	1.08689	−	0.156271i	0.424496	−	0.905430i	$-0.360451\pi$
$127$	12.2486	−	1.76108i	1.08689	−	0.156271i	0.662390	+	0.749159i	$0.269542\pi$
$128$	−0.540641	−	0.841254i	−0.0477863	−	0.0743570i
$129$	6.16992	−	7.12047i	0.543231	−	0.626922i
$130$	−1.26448	+	8.71199i	−0.110903	+	0.764092i
$131$	2.90799	+	1.86885i	0.254072	+	0.163282i	0.661477	−	0.749965i	$-0.269930\pi$
$131$	2.90799	+	1.86885i	0.254072	+	0.163282i	−0.407405	+	0.913248i	$0.633566\pi$
$132$	0.798201	+	2.71842i	0.0694745	+	0.236608i
$133$	−19.1898	+	16.6280i	−1.66396	+	1.44183i
$134$	−9.34618	−	2.74429i	−0.807387	−	0.237070i
$135$	−1.69186	+	1.46205i	−0.145612	+	0.125833i
$136$	0.129144	−	0.898213i	0.0110740	−	0.0770211i
$137$			10.6127i			0.906706i	0.891331	+	0.453353i	$0.149772\pi$
$137$			10.6127i			0.906706i	−0.891331	+	0.453353i	$0.850228\pi$
$138$	−4.79521	−	0.0770016i	−0.408196	−	0.00655481i
$139$	9.23046			0.782917			0.391459	−	0.920196i	$-0.371971\pi$
$139$	9.23046			0.782917			0.391459	+	0.920196i	$0.371971\pi$
$140$	11.2221	−	1.59819i	0.948442	−	0.135071i
$141$	−1.55145	−	3.39721i	−0.130656	−	0.286097i
$142$	−0.496485	+	1.69087i	−0.0416641	+	0.141895i
$143$	−8.42971	+	7.30438i	−0.704928	+	0.610823i
$144$	0.959493	−	0.281733i	0.0799577	−	0.0234777i
$145$	−2.81021	−	0.829235i	−0.233376	−	0.0688642i
$146$	4.83334	−	10.5835i	0.400010	−	0.875900i
$147$	14.1310	+	12.2446i	1.16551	+	1.00992i
$148$	−2.64063	−	4.10890i	−0.217059	−	0.337750i
$149$	−0.380677	−	2.64767i	−0.0311863	−	0.216906i	0.968269	−	0.249911i	$-0.0804013\pi$
$149$	−0.380677	−	2.64767i	−0.0311863	−	0.216906i	−0.999455	+	0.0330053i	$0.989492\pi$
$150$	3.26419	+	3.78749i	0.266520	+	0.309247i
$151$	−14.0206	+	9.01051i	−1.14098	+	0.733265i	−0.967824	−	0.251629i	$-0.919034\pi$
$151$	−14.0206	+	9.01051i	−1.14098	+	0.733265i	−0.173159	+	0.984894i	$0.555397\pi$
$152$	3.78547	+	3.28013i	0.307042	+	0.266054i
$153$	0.825445	+	0.376968i	0.0667333	+	0.0304761i
$154$	12.0824	+	7.76486i	0.973624	+	0.625710i
$155$	14.8376	−	9.50755i	1.19179	−	0.763665i
$156$	2.57815	+	2.97535i	0.206417	+	0.238218i
$157$	−2.78384	+	9.48090i	−0.222175	+	0.756658i	0.770669	+	0.637236i	$0.219922\pi$
$157$	−2.78384	+	9.48090i	−0.222175	+	0.756658i	−0.992844	+	0.119422i	$0.961896\pi$
$158$	−3.86185	+	1.76365i	−0.307232	+	0.140308i
$159$	−0.172954	+	1.20292i	−0.0137162	+	0.0953979i
$160$	−0.627105	−	2.14633i	−0.0495770	−	0.169682i
$161$	−18.6267	+	15.6237i	−1.46799	+	1.23132i
$162$			1.00000i			0.0785674i
$163$	14.7478	+	2.12042i	1.15514	+	0.166084i	0.693145	−	0.720798i	$-0.256224\pi$
$163$	14.7478	+	2.12042i	1.15514	+	0.166084i	0.461996	+	0.886882i	$0.347134\pi$
$164$	2.45109	+	5.36713i	0.191398	+	0.419102i
$165$	−0.00846869	+	6.33519i	−0.000659287	+	0.493194i
$166$	3.30756	+	3.81713i	0.256716	+	0.296266i
$167$	−2.38794	−	8.13259i	−0.184785	−	0.629319i	−0.998823	−	0.0485073i	$-0.984554\pi$
$167$	−2.38794	−	8.13259i	−0.184785	−	0.629319i	0.814038	−	0.580811i	$-0.197265\pi$
$168$	2.74068	−	4.26458i	0.211448	−	0.329020i
$169$	−1.03835	+	2.27367i	−0.0798732	+	0.174898i
$170$	0.845393	−	1.84462i	0.0648387	−	0.141476i
$171$	−4.21375	+	2.70801i	−0.322234	+	0.207087i
$172$	−9.32583	+	1.34085i	−0.711088	+	0.102239i
$173$	−21.1184	+	3.03637i	−1.60560	+	0.230851i	−0.886051	−	0.463588i	$-0.846562\pi$
$173$	−21.1184	+	3.03637i	−1.60560	+	0.230851i	−0.719552	+	0.694439i	$0.755653\pi$
$174$	−1.10233	+	0.708422i	−0.0835672	+	0.0537054i
$175$	25.0789	+	3.67426i	1.89578	+	0.277748i
$176$	1.17695	−	2.57716i	0.0887158	−	0.194260i
$177$	−7.00594	+	10.9015i	−0.526599	+	0.819404i
$178$	−4.11725	−	14.0221i	−0.308601	−	1.05100i
$179$	−11.6130	−	13.4021i	−0.867996	−	1.00172i	−0.999945	−	0.0104639i	$-0.996669\pi$
$179$	−11.6130	−	13.4021i	−0.867996	−	1.00172i	0.131950	−	0.991256i	$-0.457876\pi$
$180$	2.23607	+	0.00298911i	0.166667	+	0.000222795i
$181$	−3.44328	−	7.53972i	−0.255937	−	0.560423i	0.737429	−	0.675425i	$-0.236040\pi$
$181$	−3.44328	−	7.53972i	−0.255937	−	0.560423i	−0.993365	+	0.115002i	$0.963313\pi$
$182$	19.7545	+	2.84027i	1.46430	+	0.210535i
$183$			5.75263i			0.425247i
$184$	3.57356	+	3.19839i	0.263446	+	0.235789i
$185$	−3.06294	−	10.4833i	−0.225192	−	0.770744i
$186$	1.12158	−	7.80075i	0.0822381	−	0.571979i
$187$	2.33864	−	1.06802i	0.171018	−	0.0781014i
$188$	−1.05219	+	3.58343i	−0.0767388	+	0.261348i
$189$	3.31970	+	3.83114i	0.241473	+	0.278674i
$190$	6.04270	+	9.43032i	0.438384	+	0.684147i
$191$	17.7732	+	11.4221i	1.28602	+	0.826477i	0.991618	−	0.129204i	$-0.0412422\pi$
$191$	17.7732	+	11.4221i	1.28602	+	0.826477i	0.294405	+	0.955681i	$0.404879\pi$
$192$	−0.909632	−	0.415415i	−0.0656470	−	0.0299800i
$193$	11.2922	+	9.78476i	0.812832	+	0.704323i	0.958525	−	0.285007i	$-0.0919959\pi$
$193$	11.2922	+	9.78476i	0.812832	+	0.704323i	−0.145694	+	0.989330i	$0.546541\pi$
$194$	−13.6001	+	8.74026i	−0.976431	+	0.627514i
$195$	3.64631	+	8.01263i	0.261118	+	0.573796i
$196$	−2.66100	−	18.5077i	−0.190072	−	1.32198i
$197$	−12.7335	−	19.8138i	−0.907226	−	1.41167i	−0.911329	−	0.411680i	$-0.864942\pi$
$197$	−12.7335	−	19.8138i	−0.907226	−	1.41167i	0.00410246	−	0.999992i	$-0.498694\pi$
$198$	2.14118	+	1.85534i	0.152167	+	0.131853i
$199$	2.17930	−	4.77200i	0.154486	−	0.338278i	−0.816525	−	0.577309i	$-0.804103\pi$
$199$	2.17930	−	4.77200i	0.154486	−	0.338278i	0.971012	+	0.239031i	$0.0768299\pi$
$200$	0.0133677	−	4.99998i	0.000945237	−	0.353552i
$201$	−9.34618	+	2.74429i	−0.659229	+	0.193567i
$202$	7.54795	−	6.54033i	0.531072	−	0.460176i
$203$	−1.87142	+	6.37345i	−0.131348	+	0.447329i
$204$	−0.376968	−	0.825445i	−0.0263930	−	0.0577927i
$205$	1.86018	+	13.0617i	0.129920	+	0.912272i
$206$	−12.4020			−0.864092
$207$	−4.07562	+	2.52771i	−0.283275	+	0.175688i
$208$		−	3.93695i		−	0.272978i
$209$	−2.01961	+	14.0467i	−0.139699	+	0.971629i
$210$	8.57660	−	7.41161i	0.591841	−	0.511450i
$211$	3.69389	+	1.08462i	0.254298	+	0.0746685i	0.406397	−	0.913697i	$-0.366785\pi$
$211$	3.69389	+	1.08462i	0.254298	+	0.0746685i	−0.152099	+	0.988365i	$0.548603\pi$
$212$	0.918457	−	0.795847i	0.0630799	−	0.0546590i
$213$	0.496485	+	1.69087i	0.0340186	+	0.115857i
$214$	−10.2507	−	6.58770i	−0.700721	−	0.450326i
$215$	−20.8492	−	3.02611i	−1.42190	−	0.206379i
$216$	0.654861	−	0.755750i	0.0445576	−	0.0514222i
$217$	−21.5992	−	33.6090i	−1.46625	−	2.28153i
$218$	0.471242	−	0.0677544i	0.0319166	−	0.00458891i
$219$	−1.65583	−	11.5165i	−0.111891	−	0.778216i
$220$	4.15507	−	4.78227i	0.280135	−	0.322421i
$221$	2.33954	−	2.69998i	0.157375	−	0.181620i
$222$	−4.44288	−	2.02900i	−0.298187	−	0.136177i
$223$	−12.0314	+	18.7212i	−0.805680	+	1.25366i	0.158221	+	0.987404i	$0.449424\pi$
$223$	−12.0314	+	18.7212i	−0.805680	+	1.25366i	−0.963901	+	0.266259i	$0.914212\pi$
$224$	−4.86398	+	1.42819i	−0.324988	+	0.0954251i
$225$	4.79368	+	1.42148i	0.319579	+	0.0947656i
$226$	−7.53401	−	2.21218i	−0.501155	−	0.147152i
$227$	−5.61271	+	2.56324i	−0.372528	+	0.170128i	−0.592877	−	0.805293i	$-0.702008\pi$
$227$	−5.61271	+	2.56324i	−0.372528	+	0.170128i	0.220348	+	0.975421i	$0.429281\pi$
$228$	4.95791	+	0.712840i	0.328346	+	0.0472090i
$229$	−2.25999			−0.149344			−0.0746720	−	0.997208i	$-0.523791\pi$
$229$	−2.25999			−0.149344			−0.0746720	+	0.997208i	$0.523791\pi$
$230$	5.63994	+	9.12091i	0.371887	+	0.601415i
$231$	14.3623			0.944972
$232$	1.29700	+	0.186481i	0.0851523	+	0.0122431i
$233$	6.57269	−	3.00165i	0.430591	−	0.196644i	−0.188316	−	0.982108i	$-0.560303\pi$
$233$	6.57269	−	3.00165i	0.430591	−	0.196644i	0.618907	+	0.785464i	$0.287576\pi$
$234$	3.77747	+	1.10917i	0.246941	+	0.0725085i
$235$	−4.52431	+	7.01932i	−0.295134	+	0.457890i
$236$	12.4337	−	3.65086i	0.809364	−	0.237651i
$237$	−2.29529	+	3.57155i	−0.149095	+	0.231997i
$238$	−4.18444	−	1.91097i	−0.271237	−	0.123870i
$239$	−13.8227	+	15.9523i	−0.894118	+	1.03187i	0.105182	+	0.994453i	$0.466458\pi$
$239$	−13.8227	+	15.9523i	−0.894118	+	1.03187i	−0.999300	+	0.0374143i	$0.988088\pi$
$240$	−1.68795	−	1.46657i	−0.108957	−	0.0946667i
$241$	3.79080	+	26.3656i	0.244187	+	1.69836i	0.630661	+	0.776058i	$0.282784\pi$
$241$	3.79080	+	26.3656i	0.244187	+	1.69836i	−0.386474	+	0.922300i	$0.626307\pi$
$242$	−2.94280	+	0.423110i	−0.189170	+	0.0271986i
$243$	0.540641	+	0.841254i	0.0346821	+	0.0539664i
$244$	3.76717	−	4.34755i	0.241168	−	0.278323i
$245$	6.00550	−	41.3764i	0.383677	−	2.64344i
$246$	4.96367	+	3.18996i	0.316472	+	0.203384i
$247$	5.55570	+	18.9210i	0.353501	+	1.20391i
$248$	−5.95604	+	5.16093i	−0.378209	+	0.327720i
$249$	4.84619	+	1.42297i	0.307115	+	0.0901770i
$250$	3.19286	−	10.7147i	0.201934	−	0.677660i
$251$	1.72827	−	12.0204i	0.109087	−	0.758719i	−0.859695	−	0.510807i	$-0.829347\pi$
$251$	1.72827	−	12.0204i	0.109087	−	0.758719i	0.968783	−	0.247912i	$-0.0797443\pi$
$252$		−	5.06932i		−	0.319337i
$253$	−2.14939	+	13.4164i	−0.135131	+	0.843482i
$254$	−12.3745			−0.776448
$255$	−0.286089	−	2.00885i	−0.0179156	−	0.125799i
$256$	0.415415	+	0.909632i	0.0259634	+	0.0568520i
$257$	3.90674	−	13.3051i	0.243696	−	0.829952i	−0.743266	−	0.668996i	$-0.766724\pi$
$257$	3.90674	−	13.3051i	0.243696	−	0.829952i	0.986962	−	0.160956i	$-0.0514576\pi$
$258$	−7.12047	+	6.16992i	−0.443301	+	0.384122i
$259$	−23.7569	+	6.97567i	−1.47618	+	0.433447i
$260$	2.49146	−	8.44336i	0.154514	−	0.523635i
$261$	−0.544334	+	1.19193i	−0.0336934	+	0.0737783i
$262$	−2.61243	−	2.26368i	−0.161396	−	0.139851i
$263$	2.58983	+	4.02985i	0.159696	+	0.248491i	0.911876	−	0.410466i	$-0.134634\pi$
$263$	2.58983	+	4.02985i	0.159696	+	0.248491i	−0.752180	+	0.658958i	$0.770998\pi$
$264$	−0.403204	−	2.80435i	−0.0248155	−	0.172596i
$265$	2.47341	−	1.12557i	0.151940	−	0.0691435i
$266$	21.3608	−	13.7278i	1.30972	−	0.841704i
$267$	−11.0446	−	9.57016i	−0.675916	−	0.585684i
$268$	8.86049	+	4.04645i	0.541241	+	0.247176i
$269$	1.09601	+	0.704364i	0.0668250	+	0.0429458i	0.573627	−	0.819117i	$-0.305536\pi$
$269$	1.09601	+	0.704364i	0.0668250	+	0.0429458i	−0.506802	+	0.862063i	$0.669172\pi$
$270$	1.88271	−	1.20639i	0.114578	−	0.0734188i
$271$	−6.51024	−	7.51322i	−0.395469	−	0.456396i	0.522740	−	0.852492i	$-0.324910\pi$
$271$	−6.51024	−	7.51322i	−0.395469	−	0.456396i	−0.918209	+	0.396097i	$0.870365\pi$
$272$	−0.255658	+	0.870691i	−0.0155015	+	0.0527934i
$273$	18.1541	−	8.29070i	1.09874	−	0.501776i
$274$	1.51035	−	10.5047i	0.0912434	−	0.634612i
$275$	11.9376	−	7.62679i	0.719863	−	0.459913i
$276$	4.73545	+	0.758648i	0.285040	+	0.0456652i
$277$			8.40434i			0.504968i	0.967601	+	0.252484i	$0.0812475\pi$
$277$			8.40434i			0.504968i	−0.967601	+	0.252484i	$0.918752\pi$
$278$	−9.13650	−	1.31363i	−0.547971	−	0.0787863i
$279$	−3.27387	−	7.16878i	−0.196002	−	0.429183i
$280$	−11.3353	−	0.0151527i	−0.677416	−	0.000905549i
$281$	−6.10552	−	7.04615i	−0.364225	−	0.420338i	0.543826	−	0.839198i	$-0.316975\pi$
$281$	−6.10552	−	7.04615i	−0.364225	−	0.420338i	−0.908051	+	0.418860i	$0.862430\pi$
$282$	1.05219	+	3.58343i	0.0626569	+	0.213390i
$283$	4.84530	−	7.53943i	0.288023	−	0.448172i	−0.666848	−	0.745194i	$-0.732357\pi$
$283$	4.84530	−	7.53943i	0.288023	−	0.448172i	0.954871	+	0.297021i	$0.0959933\pi$
$284$	0.732067	−	1.60300i	0.0434402	−	0.0951207i
$285$	10.1819	+	4.66636i	0.603121	+	0.276411i
$286$	9.38343	−	6.03036i	0.554854	−	0.356583i
$287$	29.6062	−	4.25673i	1.74760	−	0.251267i
$288$	−0.989821	+	0.142315i	−0.0583258	+	0.00838598i
$289$	13.6086	−	8.74570i	0.800504	−	0.514453i
$290$	2.66360	+	1.22073i	0.156412	+	0.0716837i
$291$	−6.71580	+	14.7055i	−0.393687	+	0.862054i
$292$	−6.29034	+	9.78796i	−0.368114	+	0.572797i
$293$	−4.68828	−	15.9668i	−0.273892	−	0.932792i	−0.975458	−	0.220187i	$-0.929333\pi$
$293$	−4.68828	−	15.9668i	−0.273892	−	0.932792i	0.701565	−	0.712605i	$-0.252485\pi$
$294$	−12.2446	−	14.1310i	−0.714119	−	0.824137i
$295$	28.9763	+	0.0387346i	1.68706	+	0.00225522i
$296$	2.02900	+	4.44288i	0.117933	+	0.258237i
$297$	2.80435	+	0.403204i	0.162725	+	0.0233963i
$298$			2.67490i			0.154953i
$299$	5.02782	+	18.1992i	0.290766	+	1.05249i
$300$	−2.69195	−	4.21348i	−0.155420	−	0.243265i
$301$	−6.79721	+	47.2756i	−0.391784	+	2.72492i
$302$	15.1603	−	6.92346i	0.872374	−	0.398400i
$303$	2.81377	−	9.58281i	0.161647	−	0.550518i
$304$	−3.28013	−	3.78547i	−0.188128	−	0.217112i
$305$	10.8306	−	6.93994i	0.620156	−	0.397380i
$306$	−0.763395	−	0.490604i	−0.0436404	−	0.0280460i
$307$	−5.86837	−	2.68000i	−0.334926	−	0.152956i	0.240852	−	0.970562i	$-0.422573\pi$
$307$	−5.86837	−	2.68000i	−0.334926	−	0.152956i	−0.575777	+	0.817606i	$0.695301\pi$
$308$	−10.8543	−	9.40532i	−0.618482	−	0.535918i
$309$	−10.4333	+	6.70505i	−0.593528	+	0.381437i
$310$	−16.0396	+	7.29916i	−0.910991	+	0.414565i
$311$	−4.15081	−	28.8695i	−0.235371	−	1.63704i	−0.674256	−	0.738498i	$-0.735536\pi$
$311$	−4.15081	−	28.8695i	−0.235371	−	1.63704i	0.438885	−	0.898543i	$-0.355373\pi$
$312$	−2.12847	−	3.31197i	−0.120501	−	0.187503i
$313$	17.2423	+	14.9406i	0.974594	+	0.844491i	0.987848	−	0.155421i	$-0.0496735\pi$
$313$	17.2423	+	14.9406i	0.974594	+	0.844491i	−0.0132538	+	0.999912i	$0.504219\pi$
$314$	4.10478	−	8.98821i	0.231646	−	0.507234i
$315$	3.20807	−	10.8719i	0.180754	−	0.612562i
$316$	4.07353	−	1.19610i	0.229154	−	0.0672858i
$317$	17.5649	−	15.2201i	0.986545	−	0.854846i	−0.00286469	−	0.999996i	$-0.500912\pi$
$317$	17.5649	−	15.2201i	0.986545	−	0.854846i	0.989410	+	0.145150i	$0.0463664\pi$
$318$	0.342387	−	1.16606i	0.0192001	−	0.0653896i
$319$	1.54220	+	3.37695i	0.0863466	+	0.189073i
$320$	0.315267	+	2.21373i	0.0176239	+	0.123751i
$321$	−12.1850			−0.680099
$322$	20.6606	−	12.8138i	1.15137	−	0.714083i
$323$		−	4.54532i		−	0.252908i
$324$	0.142315	−	0.989821i	0.00790638	−	0.0549901i
$325$	10.6866	−	16.5313i	0.592786	−	0.916994i
$326$	−14.2960	−	4.19768i	−0.791781	−	0.232488i
$327$	0.359803	−	0.311771i	0.0198972	−	0.0172410i
$328$	−1.66232	−	5.66133i	−0.0917860	−	0.312594i
$329$	15.9270	+	10.2356i	0.878082	+	0.564309i
$330$	0.909974	−	6.26950i	0.0500924	−	0.345125i
$331$	8.24153	−	9.51123i	0.452995	−	0.522785i	−0.482608	−	0.875836i	$-0.660311\pi$
$331$	8.24153	−	9.51123i	0.452995	−	0.522785i	0.935604	+	0.353052i	$0.114856\pi$
$332$	−2.73066	−	4.24899i	−0.149864	−	0.233193i
$333$	−4.83455	+	0.695103i	−0.264932	+	0.0380914i
$334$	1.20625	+	8.38965i	0.0660030	+	0.459061i
$335$	16.4419	+	14.2855i	0.898316	+	0.780500i
$336$	−3.31970	+	3.83114i	−0.181104	+	0.209006i
$337$	−6.60341	−	3.01568i	−0.359711	−	0.164274i	0.227359	−	0.973811i	$-0.426991\pi$
$337$	−6.60341	−	3.01568i	−0.359711	−	0.164274i	−0.587069	+	0.809537i	$0.699718\pi$
$338$	1.35136	−	2.10276i	0.0735043	−	0.114375i
$339$	−7.53401	+	2.21218i	−0.409191	+	0.120149i
$340$	−1.09931	+	1.70554i	−0.0596182	+	0.0924956i
$341$	−21.4238	−	6.29059i	−1.16016	−	0.340655i
$342$	4.55625	−	2.08077i	0.246374	−	0.112515i
$343$	−58.6973	−	8.43940i	−3.16936	−	0.455685i
$344$	9.42173			0.507986
$345$	9.67576	+	4.62382i	0.520925	+	0.248938i
$346$	21.3356			1.14701
$347$	−7.73828	−	1.11260i	−0.415413	−	0.0597273i	−0.0685601	−	0.997647i	$-0.521840\pi$
$347$	−7.73828	−	1.11260i	−0.415413	−	0.0597273i	−0.346853	+	0.937920i	$0.612750\pi$
$348$	1.19193	−	0.544334i	0.0638939	−	0.0291794i
$349$	−21.0980	−	6.19492i	−1.12935	−	0.331607i	−0.336897	−	0.941541i	$-0.609377\pi$
$349$	−21.0980	−	6.19492i	−1.12935	−	0.331607i	−0.792452	+	0.609935i	$0.791196\pi$
$350$	−24.3007	−	7.20596i	−1.29893	−	0.385175i
$351$	3.77747	−	1.10917i	0.201627	−	0.0592029i
$352$	−1.53174	+	2.38343i	−0.0816418	+	0.127037i
$353$	−1.71867	−	0.784891i	−0.0914757	−	0.0417756i	0.369152	−	0.929369i	$-0.379648\pi$
$353$	−1.71867	−	0.784891i	−0.0914757	−	0.0417756i	−0.460627	+	0.887594i	$0.652376\pi$
$354$	8.48607	−	9.79345i	0.451030	−	0.520516i
$355$	2.58447	−	2.97460i	0.137170	−	0.157875i
$356$	2.07979	+	14.4653i	0.110229	+	0.766659i
$357$	−4.55333	+	0.654670i	−0.240988	+	0.0346488i
$358$	9.58747	+	14.9184i	0.506713	+	0.788461i
$359$	−1.23034	+	1.41989i	−0.0649348	+	0.0749387i	−0.787288	−	0.616586i	$-0.788515\pi$
$359$	−1.23034	+	1.41989i	−0.0649348	+	0.0749387i	0.722353	+	0.691525i	$0.243061\pi$
$360$	−2.21288	−	0.321184i	−0.116629	−	0.0169279i
$361$	5.12241	+	3.29198i	0.269601	+	0.173262i
$362$	2.33521	+	7.95301i	0.122736	+	0.418001i
$363$	−2.24689	+	1.94694i	−0.117931	+	0.102188i
$364$	−19.1492	−	5.62272i	−1.00369	−	0.294710i
$365$	−19.6848	+	17.0109i	−1.03035	+	0.890394i
$366$	0.818685	−	5.69408i	0.0427933	−	0.297634i
$367$		−	30.0087i		−	1.56644i	−0.621745	−	0.783220i	$-0.713576\pi$
$367$		−	30.0087i		−	1.56644i	0.621745	−	0.783220i	$-0.286424\pi$
$368$	−3.08200	−	3.67441i	−0.160661	−	0.191542i
$369$	5.90033			0.307159
$370$	1.53985	+	10.8124i	0.0800528	+	0.562113i
$371$	−2.55925	−	5.60397i	−0.132870	−	0.290944i
$372$	−2.22032	+	7.56173i	−0.115118	+	0.392057i
$373$	14.0341	−	12.1606i	0.726658	−	0.629653i	−0.210889	−	0.977510i	$-0.567636\pi$
$373$	14.0341	−	12.1606i	0.726658	−	0.629653i	0.937548	+	0.347857i	$0.113090\pi$
$374$	−2.46683	+	0.724327i	−0.127557	+	0.0374540i
$375$	−3.10682	−	10.7400i	−0.160436	−	0.554611i
$376$	1.55145	−	3.39721i	0.0800101	−	0.175198i
$377$	3.89871	+	3.37825i	0.200794	+	0.173989i
$378$	−2.74068	−	4.26458i	−0.140965	−	0.219346i
$379$	3.74899	+	26.0748i	0.192573	+	1.33937i	0.825166	+	0.564890i	$0.191081\pi$
$379$	3.74899	+	26.0748i	0.192573	+	1.33937i	−0.632593	+	0.774484i	$0.718010\pi$
$380$	−4.63912	−	10.1943i	−0.237982	−	0.522956i
$381$	−10.4101	+	6.69018i	−0.533327	+	0.342749i
$382$	−15.9667	−	13.8353i	−0.816930	−	0.707874i
$383$	11.2527	+	5.13893i	0.574985	+	0.262587i	0.681614	−	0.731712i	$-0.261278\pi$
$383$	11.2527	+	5.13893i	0.574985	+	0.262587i	−0.106629	+	0.994299i	$0.534006\pi$
$384$	0.841254	+	0.540641i	0.0429300	+	0.0275895i
$385$	−17.3266	−	27.0402i	−0.883046	−	1.37809i
$386$	−9.78476	−	11.2922i	−0.498031	−	0.574759i
$387$	−2.65441	+	9.04008i	−0.134931	+	0.459533i
$388$	14.7055	−	6.71580i	0.746561	−	0.340943i
$389$	−3.80419	+	26.4587i	−0.192880	+	1.34151i	0.631458	+	0.775410i	$0.282457\pi$
$389$	−3.80419	+	26.4587i	−0.192880	+	1.34151i	−0.824337	+	0.566099i	$0.808452\pi$
$390$	−2.46888	−	8.44999i	−0.125016	−	0.427882i
$391$	0.0698751	−	4.35141i	0.00353374	−	0.220060i
$392$			18.6980i			0.944391i
$393$	−3.42155	−	0.491945i	−0.172594	−	0.0248153i
$394$	9.78413	+	21.4242i	0.492917	+	1.07934i
$395$	9.49324	+	0.0126903i	0.477656	+	0.000638517i
$396$	−1.85534	−	2.14118i	−0.0932345	−	0.107598i
$397$	4.73908	+	16.1398i	0.237847	+	0.810034i	0.988744	+	0.149615i	$0.0478033\pi$
$397$	4.73908	+	16.1398i	0.237847	+	0.810034i	−0.750897	+	0.660419i	$0.770379\pi$
$398$	−2.83624	+	4.41328i	−0.142168	+	0.221218i
$399$	10.5481	−	23.0971i	0.528065	−	1.15630i
$400$	−0.724803	+	4.94719i	−0.0362402	+	0.247359i
$401$	2.29799	−	1.47683i	0.114756	−	0.0737493i	−0.482004	−	0.876169i	$-0.660091\pi$
$401$	2.29799	−	1.47683i	0.114756	−	0.0737493i	0.596760	+	0.802420i	$0.296454\pi$
$402$	9.64160	−	1.38625i	0.480879	−	0.0691400i
$403$	−30.7111	+	4.41559i	−1.52983	+	0.219956i
$404$	−8.40191	+	5.39958i	−0.418010	+	0.268639i
$405$	0.931614	−	2.03276i	0.0462923	−	0.101008i
$406$	2.75940	−	6.04225i	0.136947	−	0.299872i
$407$	−7.48140	+	11.6413i	−0.370839	+	0.577037i
$408$	0.255658	+	0.870691i	0.0126570	+	0.0431056i
$409$	20.6676	+	23.8517i	1.02195	+	1.17939i	0.983644	+	0.180125i	$0.0576503\pi$
$409$	20.6676	+	23.8517i	1.02195	+	1.17939i	0.0383049	+	0.999266i	$0.487804\pi$
$410$	0.0176367	−	13.1935i	0.000871015	−	0.651582i
$411$	−4.40868	−	9.65367i	−0.217464	−	0.476180i
$412$	12.2758	+	1.76500i	0.604786	+	0.0869551i
$413$		−	65.6912i		−	3.23245i
$414$	4.39387	−	1.92196i	0.215947	−	0.0944592i
$415$	−3.16737	−	10.8407i	−0.155480	−	0.532147i
$416$	−0.560286	+	3.89687i	−0.0274703	+	0.191060i
$417$	−8.39632	+	3.83447i	−0.411169	+	0.187775i
$418$	3.99810	−	13.6163i	0.195554	−	0.665994i
$419$	−4.22520	−	4.87614i	−0.206415	−	0.238215i	0.643097	−	0.765784i	$-0.277649\pi$
$419$	−4.22520	−	4.87614i	−0.206415	−	0.238215i	−0.849512	+	0.527569i	$0.823104\pi$
$420$	−9.54408	+	6.11560i	−0.465703	+	0.298411i
$421$	1.23298	+	0.792387i	0.0600917	+	0.0386186i	0.570342	−	0.821408i	$-0.306811\pi$
$421$	1.23298	+	0.792387i	0.0600917	+	0.0386186i	−0.510250	+	0.860026i	$0.670447\pi$
$422$	−3.50193	−	1.59928i	−0.170471	−	0.0778516i
$423$	2.82250	+	2.44571i	0.137235	+	0.118915i
$424$	−1.02237	+	0.657037i	−0.0496506	+	0.0319085i
$425$	−3.43695	+	2.96209i	−0.166717	+	0.143682i
$426$	−0.250795	−	1.74432i	−0.0121511	−	0.0845125i
$427$	−15.7661	−	24.5326i	−0.762976	−	1.18721i
$428$	9.20880	+	7.97947i	0.445124	+	0.385702i
$429$	4.63358	−	10.1461i	0.223711	−	0.489860i
$430$	20.2063	+	5.96245i	0.974434	+	0.287535i
$431$	−8.33407	+	2.44710i	−0.401438	+	0.117873i	−0.476218	−	0.879327i	$-0.657993\pi$
$431$	−8.33407	+	2.44710i	−0.401438	+	0.117873i	0.0747800	+	0.997200i	$0.476175\pi$
$432$	−0.755750	+	0.654861i	−0.0363610	+	0.0315070i
$433$	−0.102888	+	0.350405i	−0.00494450	+	0.0168394i	−0.961928	−	0.273302i	$-0.911884\pi$
$433$	−0.102888	+	0.350405i	−0.00494450	+	0.0168394i	0.956984	+	0.290141i	$0.0937023\pi$
$434$	16.5963	+	36.3408i	0.796648	+	1.74442i
$435$	2.90074	−	0.413106i	0.139080	−	0.0198069i
$436$	−0.476088			−0.0228005
$437$	19.9973	+	13.3100i	0.956601	+	0.636702i
$438$			11.6350i			0.555941i
$439$	4.19243	−	29.1590i	0.200094	−	1.39168i	−0.603907	−	0.797055i	$-0.706390\pi$
$439$	4.19243	−	29.1590i	0.200094	−	1.39168i	0.804001	−	0.594629i	$-0.202701\pi$
$440$	−4.79336	+	4.14227i	−0.228515	+	0.197475i
$441$	−17.9406	−	5.26783i	−0.854314	−	0.250849i
$442$	−2.69998	+	2.33954i	−0.128425	+	0.111281i
$443$	0.629596	+	2.14421i	0.0299130	+	0.101874i	0.973096	−	0.230398i	$-0.0740028\pi$
$443$	0.629596	+	2.14421i	0.0299130	+	0.101874i	−0.943183	+	0.332272i	$0.892185\pi$
$444$	4.10890	+	2.64063i	0.195000	+	0.125319i
$445$	−4.69379	+	32.3391i	−0.222507	+	1.53302i
$446$	14.5732	−	16.8184i	0.690062	−	0.796374i
$447$	1.44616	+	2.25027i	0.0684009	+	0.106434i
$448$	5.01772	−	0.721439i	0.237065	−	0.0340848i
$449$	0.347880	+	2.41956i	0.0164175	+	0.114186i	0.996382	−	0.0849848i	$-0.0270842\pi$
$449$	0.347880	+	2.41956i	0.0164175	+	0.114186i	−0.979965	+	0.199171i	$0.936175\pi$
$450$	−4.54259	−	2.08923i	−0.214140	−	0.0984871i
$451$	10.9471	−	12.6337i	0.515480	−	0.594896i
$452$	7.14249	+	3.26187i	0.335955	+	0.153425i
$453$	9.01051	−	14.0206i	0.423351	−	0.658747i
$454$	5.92036	−	1.73838i	0.277856	−	0.0815860i
$455$	−37.5100	−	24.1771i	−1.75850	−	1.13344i
$456$	−4.80600	−	1.41117i	−0.225062	−	0.0660840i
$457$	−6.11286	+	2.79165i	−0.285948	+	0.130588i	−0.553225	−	0.833032i	$-0.686603\pi$
$457$	−6.11286	+	2.79165i	−0.285948	+	0.130588i	0.267278	+	0.963620i	$0.413876\pi$
$458$	2.23698	+	0.321629i	0.104527	+	0.0150288i
$459$	−0.907449			−0.0423561
$460$	−4.28450	−	9.83072i	−0.199766	−	0.458360i
$461$	27.1973			1.26671			0.633353	−	0.773863i	$-0.281678\pi$
$461$	27.1973			1.26671			0.633353	+	0.773863i	$0.281678\pi$
$462$	−14.2161	−	2.04397i	−0.661394	−	0.0950942i
$463$	24.5042	−	11.1907i	1.13881	−	0.520077i	0.245445	−	0.969411i	$-0.421066\pi$
$463$	24.5042	−	11.1907i	1.13881	−	0.520077i	0.893364	+	0.449334i	$0.148339\pi$
$464$	−1.25726	−	0.369165i	−0.0583669	−	0.0171381i
$465$	−9.54718	+	14.8121i	−0.442740	+	0.686896i
$466$	−6.93297	+	2.03570i	−0.321163	+	0.0943021i
$467$	−23.1129	+	35.9644i	−1.06954	+	1.66423i	−0.411122	+	0.911580i	$0.634863\pi$
$467$	−23.1129	+	35.9644i	−1.06954	+	1.66423i	−0.658417	+	0.752654i	$0.728773\pi$
$468$	−3.58117	−	1.63547i	−0.165540	−	0.0755995i
$469$	32.3363	−	37.3181i	1.49315	−	1.72319i
$470$	5.47721	−	6.30400i	0.252645	−	0.290782i
$471$	−1.40623	−	9.78058i	−0.0647959	−	0.450665i
$472$	−12.8267	+	1.84420i	−0.590396	+	0.0848862i
$473$	14.4316	+	22.4560i	0.663566	+	1.03253i
$474$	2.78022	−	3.20854i	0.127700	−	0.147373i
$475$	−3.49791	−	24.7990i	−0.160495	−	1.13786i
$476$	3.86989	+	2.48703i	0.177376	+	0.113993i
$477$	−0.342387	−	1.16606i	−0.0156768	−	0.0533904i
$478$	15.9523	−	13.8227i	0.729640	−	0.632237i
$479$	−13.4368	−	3.94539i	−0.613942	−	0.180270i	−0.0400459	−	0.999198i	$-0.512750\pi$
$479$	−13.4368	−	3.94539i	−0.613942	−	0.180270i	−0.573896	+	0.818928i	$0.694569\pi$
$480$	1.46205	+	1.69186i	0.0667333	+	0.0772226i
$481$	−2.73659	+	19.0334i	−0.124778	+	0.867847i
$482$		−	26.6367i		−	1.21327i
$483$	10.4532	−	21.9496i	0.475636	−	0.998742i
$484$	2.97306			0.135139
$485$	35.7882	−	5.09675i	1.62506	−	0.231432i
$486$	−0.415415	−	0.909632i	−0.0188436	−	0.0412617i
$487$	−6.13727	+	20.9016i	−0.278106	+	0.947142i	0.695427	+	0.718597i	$0.255215\pi$
$487$	−6.13727	+	20.9016i	−0.278106	+	0.947142i	−0.973533	+	0.228546i	$0.926603\pi$
$488$	−4.34755	+	3.76717i	−0.196804	+	0.170532i
$489$	−14.2960	+	4.19768i	−0.646486	+	0.189825i
$490$	−11.8329	+	40.1006i	−0.534554	+	1.81156i
$491$	−16.6213	+	36.3955i	−0.750107	+	1.64250i	0.0160666	+	0.999871i	$0.494886\pi$
$491$	−16.6213	+	36.3955i	−0.750107	+	1.64250i	−0.766173	+	0.642634i	$0.777842\pi$
$492$	−4.45917	−	3.86390i	−0.201035	−	0.174198i
$493$	−0.642857	−	1.00031i	−0.0289528	−	0.0450515i
$494$	−2.80641	−	19.5190i	−0.126267	−	0.878203i
$495$	−2.62403	−	5.76621i	−0.117941	−	0.259172i
$496$	6.62989	−	4.26077i	0.297691	−	0.191314i
$497$	−6.75144	−	5.85015i	−0.302843	−	0.262415i
$498$	−4.59435	−	2.09817i	−0.205878	−	0.0940213i
$499$	15.7810	+	10.1418i	0.706453	+	0.454010i	0.843901	−	0.536499i	$-0.180254\pi$
$499$	15.7810	+	10.1418i	0.706453	+	0.454010i	−0.137448	+	0.990509i	$0.543890\pi$
$500$	−4.68523	+	10.1513i	−0.209530	+	0.453979i
$501$	5.55055	+	6.40568i	0.247980	+	0.286184i
$502$	−3.42135	+	11.6521i	−0.152702	+	0.520057i
$503$	−29.8568	+	13.6352i	−1.33125	+	0.607962i	−0.948760	−	0.315998i	$-0.897661\pi$
$503$	−29.8568	+	13.6352i	−1.33125	+	0.607962i	−0.382491	+	0.923959i	$0.624934\pi$
$504$	−0.721439	+	5.01772i	−0.0321355	+	0.223507i
$505$	−21.4362	+	6.26312i	−0.953898	+	0.278705i
$506$	4.03687	−	12.9740i	0.179461	−	0.576762i
$507$		−	2.49955i		−	0.111009i
$508$	12.2486	+	1.76108i	0.543443	+	0.0781353i
$509$	5.37785	+	11.7759i	0.238369	+	0.521955i	0.990575	−	0.136973i	$-0.0437373\pi$
$509$	5.37785	+	11.7759i	0.238369	+	0.521955i	−0.752206	+	0.658928i	$0.771010\pi$
$510$	−0.00271246	+	2.02912i	−0.000120110	+	0.0898508i
$511$	38.6246	+	44.5752i	1.70865	+	1.97189i
$512$	−0.281733	−	0.959493i	−0.0124509	−	0.0424040i
$513$	2.70801	−	4.21375i	0.119562	−	0.186042i
$514$	−5.76049	+	12.6137i	−0.254085	+	0.556367i
$515$	25.2103	+	11.5539i	1.11090	+	0.509127i
$516$	7.92606	−	5.09377i	0.348925	−	0.224241i
$517$	10.4734	−	1.50585i	0.460621	−	0.0662272i
$518$	24.5079	−	3.52370i	1.07681	−	0.154823i
$519$	17.9486	−	11.5349i	0.787857	−	0.506325i
$520$	−3.66772	+	8.00285i	−0.160840	+	0.350948i
$521$	18.0671	−	39.5615i	0.791535	−	1.73322i	0.119332	−	0.992854i	$-0.461925\pi$
$521$	18.0671	−	39.5615i	0.791535	−	1.73322i	0.672203	−	0.740367i	$-0.265348\pi$
$522$	0.708422	−	1.10233i	0.0310068	−	0.0482475i
$523$	4.01300	+	13.6670i	0.175476	+	0.597616i	0.999517	+	0.0310859i	$0.00989653\pi$
$523$	4.01300	+	13.6670i	0.175476	+	0.597616i	−0.824041	+	0.566531i	$0.808285\pi$
$524$	2.26368	+	2.61243i	0.0988893	+	0.114124i
$525$	−24.3389	+	7.07592i	−1.06224	+	0.308818i
$526$	−1.98996	−	4.35741i	−0.0867664	−	0.189992i
$527$	7.07878	+	1.01778i	0.308357	+	0.0443350i
$528$			2.83319i			0.123299i
$529$	18.9396	+	13.0496i	0.823461	+	0.567373i
$530$	−2.60842	+	0.762115i	−0.113303	+	0.0331042i
$531$	1.84420	−	12.8267i	0.0800315	−	0.556631i
$532$	−23.0971	+	10.5481i	−1.00139	+	0.457318i
$533$	6.54445	−	22.2883i	0.283471	−	0.965415i
$534$	9.57016	+	11.0446i	0.414141	+	0.477944i
$535$	14.6999	+	22.9408i	0.635532	+	0.991819i
$536$	−8.19444	−	5.26625i	−0.353946	−	0.227467i
$537$	16.1310	+	7.36677i	0.696103	+	0.317900i
$538$	−0.984615	−	0.853173i	−0.0424498	−	0.0367829i
$539$	−44.5653	+	28.6404i	−1.91956	+	1.23363i
$540$	−2.03524	+	0.926176i	−0.0875827	+	0.0398563i
$541$	0.587002	+	4.08269i	0.0252372	+	0.175528i	0.998541	−	0.0539901i	$-0.0171939\pi$
$541$	0.587002	+	4.08269i	0.0252372	+	0.175528i	−0.973304	+	0.229519i	$0.926285\pi$
$542$	5.37474	+	8.36325i	0.230865	+	0.359232i
$543$	6.26423	+	5.42799i	0.268824	+	0.232937i
$544$	0.376968	−	0.825445i	0.0161624	−	0.0353907i
$545$	−1.02104	−	0.301288i	−0.0437366	−	0.0129058i
$546$	−19.1492	+	5.62272i	−0.819511	+	0.240630i
$547$	26.4087	−	22.8833i	1.12916	−	0.978420i	0.129243	−	0.991613i	$-0.458745\pi$
$547$	26.4087	−	22.8833i	1.12916	−	0.978420i	0.999913	+	0.0131933i	$0.00419968\pi$
$548$	−2.98995	+	10.1828i	−0.127724	+	0.434989i
$549$	−2.38973	−	5.23278i	−0.101991	−	0.223329i
$550$	−12.9015	+	5.85027i	−0.550121	+	0.249456i
$551$	6.56335			0.279608
$552$	−4.57928	−	1.42485i	−0.194907	−	0.0606457i
$553$		−	21.5218i		−	0.915201i
$554$	1.19606	−	8.31880i	0.0508158	−	0.353432i
$555$	7.14105	+	8.26351i	0.303121	+	0.350766i
$556$	8.85656	+	2.60052i	0.375602	+	0.110287i
$557$	−4.97483	+	4.31071i	−0.210790	+	0.182651i	−0.753857	−	0.657039i	$-0.771809\pi$
$557$	−4.97483	+	4.31071i	−0.210790	+	0.182651i	0.543066	+	0.839690i	$0.317263\pi$
$558$	2.22032	+	7.56173i	0.0939938	+	0.320114i
$559$	31.2045	+	20.0539i	1.31981	+	0.848190i
$560$	11.2178	+	1.62818i	0.474039	+	0.0688034i
$561$	−1.68363	+	1.94301i	−0.0710829	+	0.0820340i
$562$	5.04061	+	7.84334i	0.212625	+	0.330851i
$563$	−9.28421	+	1.33487i	−0.391283	+	0.0562580i	−0.335149	−	0.942165i	$-0.608787\pi$
$563$	−9.28421	+	1.33487i	−0.391283	+	0.0562580i	−0.0561343	+	0.998423i	$0.517877\pi$
$564$	−0.531504	−	3.69669i	−0.0223804	−	0.155659i
$565$	13.2539	+	11.5156i	0.557595	+	0.484466i
$566$	−5.86895	+	6.77313i	−0.246690	+	0.284696i
$567$	−4.61121	−	2.10587i	−0.193653	−	0.0884383i
$568$	−0.952747	+	1.48250i	−0.0399764	+	0.0622044i
$569$	16.6963	−	4.90248i	0.699946	−	0.205523i	0.0876499	−	0.996151i	$-0.472064\pi$
$569$	16.6963	−	4.90248i	0.699946	−	0.205523i	0.612296	+	0.790629i	$0.290246\pi$
$570$	−9.41413	−	6.06789i	−0.394314	−	0.254156i
$571$	−34.6144	−	10.1637i	−1.44857	−	0.425337i	−0.539499	−	0.841986i	$-0.681386\pi$
$571$	−34.6144	−	10.1637i	−1.44857	−	0.425337i	−0.909068	+	0.416649i	$0.863204\pi$
$572$	−10.1461	+	4.63358i	−0.424231	+	0.193740i
$573$	−20.9120	−	3.00669i	−0.873611	−	0.125606i
$574$	−29.9107			−1.24845
$575$	−2.96745	−	23.7948i	−0.123751	−	0.992313i
$576$	1.00000			0.0416667
$577$	−27.0831	−	3.89396i	−1.12748	−	0.162108i	−0.446764	−	0.894652i	$-0.647424\pi$
$577$	−27.0831	−	3.89396i	−1.12748	−	0.162108i	−0.680719	+	0.732544i	$0.738333\pi$
$578$	−14.7147	+	6.71998i	−0.612051	+	0.279514i
$579$	−14.3365	−	4.20958i	−0.595805	−	0.174944i
$580$	−2.46276	−	1.58737i	−0.102260	−	0.0659121i
$581$	−24.5669	+	7.21349i	−1.01921	+	0.299266i
$582$	8.74026	−	13.6001i	0.362295	−	0.563743i
$583$	−3.13200	−	1.43034i	−0.129714	−	0.0592385i
$584$	7.61929	−	8.79313i	0.315288	−	0.363862i
$585$	−6.64536	−	5.77381i	−0.274752	−	0.238718i
$586$	2.36825	+	16.4715i	0.0978314	+	0.680432i
$587$	−22.7074	+	3.26483i	−0.937233	+	0.134754i	−0.593972	−	0.804486i	$-0.702441\pi$
$587$	−22.7074	+	3.26483i	−0.937233	+	0.134754i	−0.343262	+	0.939240i	$0.611532\pi$
$588$	10.1089	+	15.7298i	0.416884	+	0.648684i
$589$	−25.8506	+	29.8332i	−1.06515	+	1.22925i
$590$	−28.6758	−	4.16209i	−1.18056	−	0.171351i
$591$	19.8138	+	12.7335i	0.815029	+	0.523787i
$592$	−1.37606	−	4.68642i	−0.0565556	−	0.192611i
$593$	14.9019	−	12.9126i	0.611948	−	0.530256i	−0.292816	−	0.956169i	$-0.594592\pi$
$593$	14.9019	−	12.9126i	0.611948	−	0.530256i	0.904764	+	0.425913i	$0.140047\pi$
$594$	−2.71842	−	0.798201i	−0.111538	−	0.0327506i
$595$	6.72566	+	7.78283i	0.275725	+	0.319065i
$596$	0.380677	−	2.64767i	0.0155932	−	0.108453i
$597$			5.24608i			0.214708i
$598$	−2.38663	−	18.7295i	−0.0975964	−	0.765906i
$599$	−23.8689			−0.975257			−0.487628	−	0.873051i	$-0.662138\pi$
$599$	−23.8689			−0.975257			−0.487628	+	0.873051i	$0.662138\pi$
$600$	2.06491	+	4.55370i	0.0842995	+	0.185904i
$601$	6.47142	+	14.1704i	0.263975	+	0.578024i	0.994485	−	0.104878i	$-0.0334451\pi$
$601$	6.47142	+	14.1704i	0.263975	+	0.578024i	−0.730510	+	0.682902i	$0.760718\pi$
$602$	13.4560	−	45.8271i	0.548427	−	1.86777i
$603$	7.36157	−	6.37883i	0.299786	−	0.259766i
$604$	−15.9913	+	4.69546i	−0.650675	+	0.191055i
$605$	6.37616	+	1.88147i	0.259228	+	0.0764927i
$606$	−4.14890	+	9.08483i	−0.168538	+	0.369046i
$607$	8.64727	+	7.49290i	0.350982	+	0.304128i	0.812452	−	0.583028i	$-0.198132\pi$
$607$	8.64727	+	7.49290i	0.350982	+	0.304128i	−0.461470	+	0.887156i	$0.652678\pi$
$608$	2.70801	+	4.21375i	0.109824	+	0.170890i
$609$	−0.945330	−	6.57491i	−0.0383067	−	0.266429i
$610$	−11.7080	+	5.32795i	−0.474042	+	0.215722i
$611$	12.3692	−	7.94923i	0.500406	−	0.321591i
$612$	0.685805	+	0.594253i	0.0277220	+	0.0240213i
$613$	−3.38096	−	1.54403i	−0.136556	−	0.0623629i	0.345965	−	0.938247i	$-0.387552\pi$
$613$	−3.38096	−	1.54403i	−0.136556	−	0.0623629i	−0.482521	+	0.875884i	$0.660279\pi$
$614$	5.42724	+	3.48788i	0.219026	+	0.140759i
$615$	−7.11812	−	11.1086i	−0.287030	−	0.447944i
$616$	9.40532	+	10.8543i	0.378951	+	0.437333i
$617$	−10.5140	+	35.8074i	−0.423278	+	1.44155i	0.421693	+	0.906739i	$0.361436\pi$
$617$	−10.5140	+	35.8074i	−0.423278	+	1.44155i	−0.844971	+	0.534812i	$0.820382\pi$
$618$	11.2813	−	5.15200i	0.453800	−	0.207244i
$619$	3.93580	−	27.3741i	0.158193	−	1.10026i	−0.743767	−	0.668439i	$-0.766963\pi$
$619$	3.93580	−	27.3741i	0.158193	−	1.10026i	0.901960	−	0.431819i	$-0.142128\pi$
$620$	16.9152	−	4.94219i	0.679329	−	0.198483i
$621$	2.65727	−	3.99236i	0.106632	−	0.160208i
$622$			29.1664i			1.16947i
$623$	73.3291	+	10.5431i	2.93787	+	0.422402i
$624$	1.63547	+	3.58117i	0.0654711	+	0.143362i
$625$	−16.4723	+	18.8059i	−0.658892	+	0.752237i
$626$	−14.9406	−	17.2423i	−0.597145	−	0.689142i
$627$	−3.99810	−	13.6163i	−0.159669	−	0.543782i
$628$	−5.34216	+	8.31256i	−0.213175	+	0.331707i
$629$	1.84121	−	4.03169i	0.0734139	−	0.160754i
$630$	−4.72265	+	10.3047i	−0.188155	+	0.410549i
$631$	−11.2795	+	7.24891i	−0.449031	+	0.288574i	−0.745547	−	0.666453i	$-0.767812\pi$
$631$	−11.2795	+	7.24891i	−0.449031	+	0.288574i	0.296516	+	0.955028i	$0.404175\pi$
$632$	−4.20229	+	0.604199i	−0.167158	+	0.0240337i
$633$	−3.81065	+	0.547888i	−0.151460	+	0.0217766i
$634$	−19.5522	+	12.5654i	−0.776517	+	0.499037i
$635$	25.1544	+	11.5283i	0.998223	+	0.457487i
$636$	−0.504851	+	1.10547i	−0.0200186	+	0.0438347i
$637$	−39.7982	+	61.9272i	−1.57686	+	2.45365i
$638$	−1.04591	−	3.56205i	−0.0414081	−	0.141023i
$639$	−1.15403	−	1.33182i	−0.0456528	−	0.0526861i
$640$	0.00298911	−	2.23607i	0.000118155	−	0.0883883i
$641$	−8.88895	−	19.4641i	−0.351092	−	0.768785i	−0.999969	−	0.00789146i	$-0.997488\pi$
$641$	−8.88895	−	19.4641i	−0.351092	−	0.768785i	0.648876	−	0.760894i	$-0.275239\pi$
$642$	12.0610	+	1.73410i	0.476008	+	0.0684396i
$643$			11.9702i			0.472058i	0.971746	+	0.236029i	$0.0758461\pi$
$643$			11.9702i			0.472058i	−0.971746	+	0.236029i	$0.924154\pi$
$644$	−22.2739	+	9.74303i	−0.877715	+	0.383929i
$645$	20.2222	−	5.90841i	0.796247	−	0.232643i
$646$	−0.646866	+	4.49905i	−0.0254506	+	0.177013i
$647$	5.56868	−	2.54313i	0.218927	−	0.0999807i	−0.302933	−	0.953012i	$-0.597966\pi$
$647$	5.56868	−	2.54313i	0.218927	−	0.0999807i	0.521860	+	0.853031i	$0.325238\pi$
$648$	−0.281733	+	0.959493i	−0.0110675	+	0.0376924i
$649$	−24.0426	−	27.7467i	−0.943756	−	1.08915i
$650$	−12.9305	+	14.8422i	−0.507175	+	0.582160i
$651$	33.6090	+	21.5992i	1.31724	+	0.846540i
$652$	13.5531	+	6.18948i	0.530779	+	0.242399i
$653$	22.6292	+	19.6083i	0.885549	+	0.767333i	0.973475	−	0.228794i	$-0.0734783\pi$
$653$	22.6292	+	19.6083i	0.885549	+	0.767333i	−0.0879256	+	0.996127i	$0.528024\pi$
$654$	−0.400511	+	0.257393i	−0.0156612	+	0.0100649i
$655$	3.20155	+	7.03528i	0.125095	+	0.274891i
$656$	0.839705	+	5.84027i	0.0327850	+	0.228024i
$657$	6.29034	+	9.78796i	0.245410	+	0.381865i
$658$	−14.3082	−	12.3981i	−0.557791	−	0.483328i
$659$	−13.5130	+	29.5894i	−0.526393	+	1.15264i	0.440568	+	0.897719i	$0.354777\pi$
$659$	−13.5130	+	29.5894i	−0.526393	+	1.15264i	−0.966962	+	0.254922i	$0.917950\pi$
$660$	−1.79296	+	6.07618i	−0.0697907	+	0.236515i
$661$	−1.85717	+	0.545315i	−0.0722357	+	0.0212103i	−0.317651	−	0.948208i	$-0.602894\pi$
$661$	−1.85717	+	0.545315i	−0.0722357	+	0.0212103i	0.245415	+	0.969418i	$0.421076\pi$
$662$	−9.51123	+	8.24153i	−0.369664	+	0.320316i
$663$	−1.00651	+	3.42787i	−0.0390897	+	0.133127i
$664$	2.09817	+	4.59435i	0.0814248	+	0.178295i
$665$	−56.2104	+	8.00515i	−2.17974	+	0.310427i
$666$	4.88426			0.189261
$667$	6.28335	+	0.100898i	0.243292	+	0.00390679i
$668$		−	8.47592i		−	0.327943i
$669$	3.16706	−	22.0274i	0.122446	−	0.851629i
$670$	−14.2415	−	16.4800i	−0.550197	−	0.636678i
$671$	−15.6381	−	4.59175i	−0.603701	−	0.177263i
$672$	3.83114	−	3.31970i	0.147789	−	0.128060i
$673$	2.64203	+	8.99792i	0.101843	+	0.346844i	0.994612	−	0.103670i	$-0.0330587\pi$
$673$	2.64203	+	8.99792i	0.101843	+	0.346844i	−0.892769	+	0.450515i	$0.851241\pi$
$674$	6.10702	+	3.92474i	0.235234	+	0.151175i
$675$	−4.95099	+	0.698340i	−0.190564	+	0.0268791i
$676$	−1.63686	+	1.88904i	−0.0629561	+	0.0726552i
$677$	8.23888	+	12.8200i	0.316646	+	0.492711i	0.962696	−	0.270584i	$-0.0872168\pi$
$677$	8.23888	+	12.8200i	0.316646	+	0.492711i	−0.646050	+	0.763295i	$0.723580\pi$
$678$	7.77215	−	1.11747i	0.298488	−	0.0429160i
$679$	−11.6631	−	81.1189i	−0.447590	−	3.11306i
$680$	1.33084	−	1.53173i	0.0510353	−	0.0587391i
$681$	4.04069	−	4.66321i	0.154840	−	0.178694i
$682$	20.3105	+	9.27549i	0.777728	+	0.355177i
$683$	15.4694	−	24.0709i	0.591920	−	0.921046i	−0.408047	−	0.912961i	$-0.633790\pi$
$683$	15.4694	−	24.0709i	0.591920	−	0.921046i	0.999967	−	0.00808508i	$-0.00257359\pi$
$684$	−4.80600	+	1.41117i	−0.183762	+	0.0539574i
$685$	−12.8565	+	19.9464i	−0.491221	+	0.762113i
$686$	56.8988	+	16.7070i	2.17241	+	0.637876i
$687$	2.05575	−	0.938832i	0.0784319	−	0.0358187i
$688$	−9.32583	−	1.34085i	−0.355544	−	0.0511195i
$689$	−4.78454			−0.182277
$690$	−8.91924	−	5.95376i	−0.339550	−	0.226656i
$691$	−39.2640			−1.49367			−0.746837	−	0.665008i	$-0.768428\pi$
$691$	−39.2640			−1.49367			−0.746837	+	0.665008i	$0.768428\pi$
$692$	−21.1184	−	3.03637i	−0.802801	−	0.115425i
$693$	−13.0644	+	5.96632i	−0.496277	+	0.226642i
$694$	7.50118	+	2.20254i	0.284741	+	0.0836074i
$695$	17.3485	+	11.1820i	0.658065	+	0.424157i
$696$	−1.25726	+	0.369165i	−0.0476563	+	0.0139932i
$697$	−2.89473	+	4.50428i	−0.109646	+	0.170612i
$698$	20.0016	+	9.13442i	0.757072	+	0.345743i
$699$	−4.73180	+	5.46079i	−0.178973	+	0.206546i
$700$	23.0278	+	10.5910i	0.870371	+	0.400301i
$701$	0.692239	+	4.81463i	0.0261455	+	0.181846i	0.998709	−	0.0507902i	$-0.0161740\pi$
$701$	0.692239	+	4.81463i	0.0261455	+	0.181846i	−0.972564	+	0.232636i	$0.925265\pi$
$702$	−3.89687	+	0.560286i	−0.147078	+	0.0211466i
$703$	13.2267	+	20.5811i	0.498853	+	0.776230i
$704$	1.85534	−	2.14118i	0.0699258	−	0.0806987i
$705$	1.19953	−	8.26446i	0.0451769	−	0.311258i
$706$	1.58948	+	1.02149i	0.0598208	+	0.0384445i
$707$	14.2639	+	48.5783i	0.536448	+	1.82698i
$708$	−9.79345	+	8.48607i	−0.368060	+	0.318926i
$709$	23.0033	+	6.75437i	0.863907	+	0.253666i	0.683522	−	0.729930i	$-0.260447\pi$
$709$	23.0033	+	6.75437i	0.863907	+	0.253666i	0.180385	+	0.983596i	$0.442266\pi$
$710$	−2.98149	+	2.57651i	−0.111893	+	0.0966947i
$711$	0.604199	−	4.20229i	0.0226592	−	0.157598i
$712$		−	14.6140i		−	0.547684i
$713$	−25.2064	+	28.1631i	−0.943987	+	1.05471i
$714$	4.60015			0.172156
$715$	−24.6922	+	3.51652i	−0.923436	+	0.131510i
$716$	−7.36677	−	16.1310i	−0.275309	−	0.602843i
$717$	5.94678	−	20.2529i	0.222087	−	0.756357i
$718$	1.41989	−	1.23034i	0.0529897	−	0.0459158i
$719$	−46.7677	+	13.7322i	−1.74414	+	0.512125i	−0.989565	−	0.144089i	$-0.953975\pi$
$719$	−46.7677	+	13.7322i	−1.74414	+	0.512125i	−0.754574	+	0.656215i	$0.772157\pi$
$720$	2.14465	+	0.632841i	0.0799263	+	0.0235846i
$721$	26.1171	−	57.1885i	0.972652	−	2.12981i
$722$	−4.60178	−	3.98746i	−0.171260	−	0.148398i
$723$	−14.4009	−	22.4083i	−0.535576	−	0.833372i
$724$	−1.17961	−	8.20440i	−0.0438400	−	0.304914i
$725$	−4.27719	−	4.96289i	−0.158851	−	0.184317i
$726$	2.50110	−	1.60736i	0.0928244	−	0.0596546i
$727$	−7.54334	−	6.53634i	−0.279767	−	0.242419i	0.503662	−	0.863901i	$-0.331986\pi$
$727$	−7.54334	−	6.53634i	−0.279767	−	0.242419i	−0.783429	+	0.621481i	$0.786531\pi$
$728$	18.1541	+	8.29070i	0.672836	+	0.307274i
$729$	−0.841254	−	0.540641i	−0.0311575	−	0.0200237i
$730$	21.9053	−	14.0364i	0.810753	−	0.519509i
$731$	−5.59889	−	6.46146i	−0.207082	−	0.238986i
$732$	−1.62070	+	5.51961i	−0.0599029	+	0.204011i
$733$	18.4749	−	8.43719i	0.682385	−	0.311635i	−0.0438925	−	0.999036i	$-0.513976\pi$
$733$	18.4749	−	8.43719i	0.682385	−	0.311635i	0.726278	+	0.687401i	$0.241249\pi$
$734$	−4.27068	+	29.7032i	−0.157634	+	1.09637i
$735$	11.7256	+	40.1321i	0.432505	+	1.48029i
$736$	2.52771	+	4.07562i	0.0931726	+	0.150229i
$737$		−	27.5973i		−	1.01656i
$738$	−5.84027	−	0.839705i	−0.214983	−	0.0309100i
$739$	9.42837	+	20.6452i	0.346828	+	0.759448i	0.999998	+	0.00223589i	$0.000711707\pi$
$739$	9.42837	+	20.6452i	0.346828	+	0.759448i	−0.653169	+	0.757212i	$0.726561\pi$
$740$	0.0145996	−	10.9215i	0.000536691	−	0.401484i
$741$	−12.9137	−	14.9032i	−0.474396	−	0.547483i
$742$	1.73567	+	5.91115i	0.0637185	+	0.217005i
$743$	−7.15860	+	11.1390i	−0.262624	+	0.408650i	−0.947375	−	0.320127i	$-0.896274\pi$
$743$	−7.15860	+	11.1390i	−0.262624	+	0.408650i	0.684751	+	0.728777i	$0.259911\pi$
$744$	3.27387	−	7.16878i	0.120026	−	0.262820i
$745$	2.49197	−	5.43741i	0.0912988	−	0.199211i
$746$	−15.6219	+	10.0396i	−0.571958	+	0.367575i
$747$	−4.99937	+	0.718801i	−0.182917	+	0.0262996i
$748$	2.54480	−	0.365888i	0.0930473	−	0.0133782i
$749$	51.9639	−	33.3952i	1.89872	−	1.22023i
$750$	1.54674	+	11.0728i	0.0564788	+	0.404323i
$751$	21.7492	−	47.6242i	0.793640	−	1.73783i	0.127716	−	0.991811i	$-0.459235\pi$
$751$	21.7492	−	47.6242i	0.793640	−	1.73783i	0.665924	−	0.746019i	$-0.268037\pi$
$752$	−2.01914	+	3.14184i	−0.0736303	+	0.114571i
$753$	3.42135	+	11.6521i	0.124681	+	0.424625i
$754$	−3.37825	−	3.89871i	−0.123029	−	0.141983i
$755$	−37.2671	−	0.0498175i	−1.35629	−	0.00181304i
$756$	2.10587	+	4.61121i	0.0765898	+	0.167708i
$757$	22.1944	+	3.19107i	0.806669	+	0.115981i	0.533298	−	0.845927i	$-0.320952\pi$
$757$	22.1944	+	3.19107i	0.806669	+	0.115981i	0.273371	+	0.961909i	$0.411861\pi$
$758$		−	26.3430i		−	0.956820i
$759$	−3.61822	−	13.0969i	−0.131333	−	0.475386i
$760$	3.14110	+	10.7507i	0.113940	+	0.389971i
$761$	4.32443	−	30.0770i	0.156760	−	1.09029i	−0.747793	−	0.663932i	$-0.768887\pi$
$761$	4.32443	−	30.0770i	0.156760	−	1.09029i	0.904554	−	0.426360i	$-0.140204\pi$
$762$	11.2563	−	5.14057i	0.407772	−	0.186223i
$763$	−0.679945	+	2.31568i	−0.0246157	+	0.0838333i
$764$	13.8353	+	15.9667i	0.500542	+	0.577657i
$765$	1.09474	+	1.70847i	0.0395805	+	0.0617698i
$766$	−10.4068	−	6.68804i	−0.376013	−	0.241649i
$767$	−46.4070	−	21.1934i	−1.67566	−	0.765248i
$768$	−0.755750	−	0.654861i	−0.0272708	−	0.0236303i
$769$	5.47509	−	3.51863i	0.197437	−	0.126885i	−0.438187	−	0.898884i	$-0.644379\pi$
$769$	5.47509	−	3.51863i	0.197437	−	0.126885i	0.635624	+	0.771999i	$0.280743\pi$
$770$	13.3020	+	29.2308i	0.479372	+	1.05340i
$771$	1.97346	+	13.7257i	0.0710723	+	0.494319i
$772$	8.07812	+	12.5698i	0.290738	+	0.452397i
$773$	1.94394	+	1.68443i	0.0699186	+	0.0605848i	0.689119	−	0.724648i	$-0.257998\pi$
$773$	1.94394	+	1.68443i	0.0699186	+	0.0605848i	−0.619200	+	0.785233i	$0.712543\pi$
$774$	3.91393	−	8.57031i	0.140683	−	0.308053i
$775$	39.4047	+	0.105350i	1.41546	+	0.00378429i
$776$	−15.5116	+	4.55462i	−0.556835	+	0.163501i
$777$	18.7123	−	16.2143i	0.671299	−	0.581684i
$778$	7.53093	−	25.6480i	0.269997	−	0.919525i
$779$	−12.2772	−	26.8834i	−0.439877	−	0.963197i
$780$	1.24119	+	8.71534i	0.0444417	+	0.312059i
$781$	−4.99280			−0.178656
$782$	−0.688435	+	4.29718i	−0.0246184	+	0.153667i
$783$		−	1.31034i		−	0.0468277i
$784$	2.66100	−	18.5077i	0.0950358	−	0.660989i
$785$	−16.7176	+	14.4468i	−0.596675	+	0.515627i
$786$	3.31671	+	0.973875i	0.118303	+	0.0347370i
$787$	20.2759	−	17.5692i	0.722758	−	0.626273i	−0.213763	−	0.976886i	$-0.568572\pi$
$787$	20.2759	−	17.5692i	0.722758	−	0.626273i	0.936521	+	0.350612i	$0.114027\pi$
$788$	−6.63555	−	22.5986i	−0.236382	−	0.805042i
$789$	−4.02985	−	2.58983i	−0.143467	−	0.0922004i
$790$	−9.39480	−	1.36359i	−0.334252	−	0.0485143i
$791$	26.0665	−	30.0823i	0.926818	−	1.06961i
$792$	1.53174	+	2.38343i	0.0544279	+	0.0846914i
$793$	−22.4173	+	3.22312i	−0.796061	+	0.114456i
$794$	−2.39390	−	16.6500i	−0.0849565	−	0.590885i
$795$	−1.78231	+	2.05135i	−0.0632121	+	0.0727539i
$796$	3.43545	−	3.96472i	0.121766	−	0.140526i
$797$	−11.7136	−	5.34943i	−0.414917	−	0.189486i	0.197008	−	0.980402i	$-0.436877\pi$
$797$	−11.7136	−	5.34943i	−0.414917	−	0.189486i	−0.611925	+	0.790915i	$0.709605\pi$
$798$	−13.7278	+	21.3608i	−0.485958	+	0.756166i
$799$	−3.25178	+	0.954808i	−0.115040	+	0.0337787i
$800$	1.42148	−	4.79368i	0.0502570	−	0.169482i
$801$	14.0221	+	4.11725i	0.495445	+	0.145476i
$802$	−2.48477	+	1.13476i	−0.0877404	+	0.0400697i
$803$	32.6285	+	4.69127i	1.15144	+	0.165551i
$804$	−9.74075			−0.343530
$805$	−53.9355	+	6.79953i	−1.90098	+	0.239652i
$806$	31.0269			1.09288
$807$	−1.28957	−	0.185412i	−0.0453950	−	0.00652682i
$808$	9.08483	−	4.14890i	0.319603	−	0.145958i
$809$	−26.9016	−	7.89902i	−0.945810	−	0.277715i	−0.227769	−	0.973715i	$-0.573143\pi$
$809$	−26.9016	−	7.89902i	−0.945810	−	0.277715i	−0.718041	+	0.696000i	$0.754961\pi$
$810$	−1.21142	+	1.87948i	−0.0425651	+	0.0660383i
$811$	−42.1236	+	12.3686i	−1.47916	+	0.434320i	−0.919064	−	0.394108i	$-0.871054\pi$
$811$	−42.1236	+	12.3686i	−1.47916	+	0.434320i	−0.560095	+	0.828428i	$0.689235\pi$
$812$	−3.59122	+	5.58805i	−0.126027	+	0.196102i
$813$	9.04303	+	4.12981i	0.317153	+	0.144839i
$814$	9.06198	−	10.4581i	0.317622	−	0.366556i
$815$	25.1496	+	21.8512i	0.880952	+	0.765413i
$816$	−0.129144	−	0.898213i	−0.00452093	−	0.0314437i
$817$	46.7121	−	6.71619i	1.63425	−	0.234970i
$818$	−17.0628	−	26.5503i	−0.596587	−	0.928308i
$819$	−13.0695	+	15.0830i	−0.456684	+	0.527042i
$820$	−1.89509	+	13.0567i	−0.0661795	+	0.455961i
$821$	38.1959	+	24.5470i	1.33305	+	0.856696i	0.996387	−	0.0849303i	$-0.0270668\pi$
$821$	38.1959	+	24.5470i	1.33305	+	0.856696i	0.336659	+	0.941627i	$0.390703\pi$
$822$	2.98995	+	10.1828i	0.104286	+	0.355167i
$823$	41.3060	−	35.7918i	1.43984	−	1.24762i	0.520668	−	0.853759i	$-0.325683\pi$
$823$	41.3060	−	35.7918i	1.43984	−	1.24762i	0.919168	−	0.393865i	$-0.128862\pi$
$824$	−11.8997	−	3.49406i	−0.414545	−	0.121721i
$825$	−7.69051	+	11.8966i	−0.267749	+	0.414187i
$826$	−9.34884	+	65.0226i	−0.325288	+	2.26243i
$827$			18.6359i			0.648034i	0.946051	+	0.324017i	$0.105034\pi$
$827$			18.6359i			0.648034i	−0.946051	+	0.324017i	$0.894966\pi$
$828$	−4.62267	+	1.27709i	−0.160649	+	0.0443818i
$829$	−21.5548			−0.748628			−0.374314	−	0.927302i	$-0.622122\pi$
$829$	−21.5548			−0.748628			−0.374314	+	0.927302i	$0.622122\pi$
$830$	1.59234	+	11.1811i	0.0552710	+	0.388101i
$831$	−3.49129	−	7.64486i	−0.121112	−	0.265197i
$832$	1.10917	−	3.77747i	0.0384534	−	0.130960i
$833$	12.8232	−	11.1113i	0.444297	−	0.384985i
$834$	8.85656	−	2.60052i	0.306678	−	0.0900486i
$835$	5.36391	−	18.1779i	0.185626	−	0.629071i
$836$	−5.89521	+	12.9087i	−0.203890	+	0.446457i
$837$	5.95604	+	5.16093i	0.205871	+	0.178388i
$838$	3.48825	+	5.42782i	0.120500	+	0.187501i
$839$	1.67880	+	11.6763i	0.0579587	+	0.403111i	0.998062	+	0.0622226i	$0.0198189\pi$
$839$	1.67880	+	11.6763i	0.0579587	+	0.403111i	−0.940104	+	0.340889i	$0.889272\pi$
$840$	10.3173	−	4.69508i	0.355980	−	0.161996i
$841$	−22.9519	+	14.7503i	−0.791446	+	0.508631i
$842$	−1.10766	−	0.959793i	−0.0381725	−	0.0330766i
$843$	8.48086	+	3.87308i	0.292096	+	0.133396i
$844$	3.23868	+	2.08138i	0.111480	+	0.0716439i
$845$	−4.70594	+	3.01545i	−0.161889	+	0.103734i
$846$	−2.44571	−	2.82250i	−0.0840854	−	0.0970397i
$847$	4.24610	−	14.4609i	0.145898	−	0.496882i
$848$	1.10547	−	0.504851i	0.0379620	−	0.0173366i
$849$	−1.27544	+	8.87091i	−0.0437732	+	0.304449i
$850$	3.82352	−	2.44281i	0.131146	−	0.0837876i
$851$	12.3460	+	19.9064i	0.423216	+	0.682383i
$852$			1.76225i			0.0603739i
$853$	2.20326	+	0.316781i	0.0754382	+	0.0108464i	0.179931	−	0.983679i	$-0.442413\pi$
$853$	2.20326	+	0.316781i	0.0754382	+	0.0108464i	−0.104492	+	0.994526i	$0.533322\pi$
$854$	12.1143	+	26.5266i	0.414543	+	0.907722i
$855$	−11.2002	−	0.0149721i	−0.383039	−	0.000512036i
$856$	−7.97947	−	9.20880i	−0.272733	−	0.314750i
$857$	−0.0384163	−	0.130834i	−0.00131228	−	0.00446920i	0.958834	−	0.283966i	$-0.0916504\pi$
$857$	−0.0384163	−	0.130834i	−0.00131228	−	0.00446920i	−0.960147	+	0.279497i	$0.909832\pi$
$858$	−6.03036	+	9.38343i	−0.205873	+	0.320345i
$859$	−15.4361	+	33.8004i	−0.526673	+	1.15325i	0.440178	+	0.897911i	$0.354915\pi$
$859$	−15.4361	+	33.8004i	−0.526673	+	1.15325i	−0.966851	+	0.255342i	$0.917812\pi$
$860$	−19.1521	−	8.77742i	−0.653080	−	0.299307i
$861$	−25.1624	+	16.1709i	−0.857534	+	0.551104i
$862$	8.59750	−	1.23613i	0.292832	−	0.0421029i
$863$	13.8264	−	1.98793i	0.470655	−	0.0676699i	0.0970931	−	0.995275i	$-0.469046\pi$
$863$	13.8264	−	1.98793i	0.470655	−	0.0676699i	0.373562	+	0.927605i	$0.378136\pi$
$864$	0.841254	−	0.540641i	0.0286200	−	0.0183930i
$865$	−43.3700	−	19.8765i	−1.47462	−	0.675822i
$866$	0.151709	−	0.332196i	0.00515528	−	0.0112885i
$867$	−8.74570	+	13.6086i	−0.297019	+	0.462171i
$868$	−11.2555	−	38.3328i	−0.382038	−	1.30110i
$869$	−7.87687	−	9.09039i	−0.267204	−	0.308370i
$870$	−2.93000	−	0.00391674i	−0.0993364	−	0.000132790i
$871$	−15.9307	−	34.8833i	−0.539790	−	1.18198i
$872$	0.471242	+	0.0677544i	0.0159583	+	0.00229445i
$873$		−	16.1665i		−	0.547152i
$874$	−17.8996	−	16.0204i	−0.605462	−	0.541898i
$875$	42.6842	+	37.2868i	1.44299	+	1.26052i
$876$	1.65583	−	11.5165i	0.0559453	−	0.389108i
$877$	27.5767	−	12.5939i	0.931200	−	0.425265i	0.108729	−	0.994071i	$-0.465322\pi$
$877$	27.5767	−	12.5939i	0.931200	−	0.425265i	0.822471	+	0.568806i	$0.192595\pi$
$878$	−8.29952	+	28.2656i	−0.280095	+	0.953917i
$879$	10.8975	+	12.5764i	0.367563	+	0.424190i
$880$	5.33408	−	3.41794i	0.179812	−	0.115219i
$881$	−34.0417	−	21.8773i	−1.14689	−	0.737064i	−0.177875	−	0.984053i	$-0.556922\pi$
$881$	−34.0417	−	21.8773i	−1.14689	−	0.737064i	−0.969018	+	0.246989i	$0.920559\pi$
$882$	17.0083	+	7.76743i	0.572699	+	0.261543i
$883$	−17.5951	−	15.2462i	−0.592122	−	0.513076i	0.306460	−	0.951884i	$-0.400856\pi$
$883$	−17.5951	−	15.2462i	−0.592122	−	0.513076i	−0.898581	+	0.438807i	$0.855401\pi$
$884$	3.00545	−	1.93148i	0.101084	−	0.0649628i
$885$	−26.3738	+	12.0019i	−0.886547	+	0.403441i
$886$	−0.318035	−	2.21198i	−0.0106846	−	0.0743130i
$887$	−24.2953	−	37.8042i	−0.815755	−	1.26934i	−0.960057	−	0.279806i	$-0.909730\pi$
$887$	−24.2953	−	37.8042i	−0.815755	−	1.26934i	0.144301	−	0.989534i	$-0.453907\pi$
$888$	−3.69128	−	3.19851i	−0.123871	−	0.107335i
$889$	26.0592	−	57.0617i	0.873997	−	1.91379i
$890$	9.24835	−	31.3420i	0.310006	−	1.05058i
$891$	−2.71842	+	0.798201i	−0.0910706	+	0.0267407i
$892$	−16.8184	+	14.5732i	−0.563121	+	0.487947i
$893$	5.27030	−	17.9490i	0.176364	−	0.600641i
$894$	−1.11119	−	2.43317i	−0.0371638	−	0.0813774i
$895$	−5.59079	−	39.2573i	−0.186879	−	1.31223i
$896$	−5.06932			−0.169354
$897$	−12.1337	−	14.4659i	−0.405132	−	0.483004i
$898$		−	2.44444i		−	0.0815721i
$899$	−1.46965	+	10.2216i	−0.0490155	+	0.340910i
$900$	4.19903	+	2.71444i	0.139968	+	0.0904813i
$901$	1.05814	+	0.310699i	0.0352519	+	0.0103509i
$902$	−12.6337	+	10.9471i	−0.420655	+	0.364500i
$903$	−13.4560	−	45.8271i	−0.447789	−	1.52503i
$904$	−6.60558	−	4.24515i	−0.219698	−	0.141192i
$905$	2.66222	−	18.3420i	0.0884951	−	0.609710i
$906$	−10.9141	+	12.5956i	−0.362598	+	0.418461i
$907$	−17.2795	−	26.8875i	−0.573758	−	0.892784i	0.426172	−	0.904642i	$-0.359862\pi$
$907$	−17.2795	−	26.8875i	−0.573758	−	0.892784i	−0.999930	+	0.0118578i	$0.996225\pi$
$908$	−6.10750	+	0.878126i	−0.202684	+	0.0291416i
$909$	1.42135	+	9.88571i	0.0471432	+	0.327888i
$910$	33.6875	+	29.2693i	1.11673	+	0.970268i
$911$	25.3467	−	29.2516i	0.839773	−	0.969150i	−0.160066	−	0.987106i	$-0.551171\pi$
$911$	25.3467	−	29.2516i	0.839773	−	0.969150i	0.999839	+	0.0179564i	$0.00571600\pi$
$912$	4.55625	+	2.08077i	0.150873	+	0.0689012i
$913$	−7.73646	+	12.0382i	−0.256040	+	0.398405i
$914$	6.44793	−	1.89328i	0.213279	−	0.0626243i
$915$	−6.96887	+	10.8120i	−0.230384	+	0.357433i
$916$	−2.16844	−	0.636711i	−0.0716473	−	0.0210375i
$917$	15.9397	−	7.27944i	0.526377	−	0.240388i
$918$	0.898213	+	0.129144i	0.0296454	+	0.00426237i
$919$	−22.0108			−0.726069			−0.363034	−	0.931776i	$-0.618259\pi$
$919$	−22.0108			−0.726069			−0.363034	+	0.931776i	$0.618259\pi$
$920$	2.84183	+	10.3404i	0.0936923	+	0.340913i
$921$	6.45137			0.212580
$922$	−26.9205	−	3.87058i	−0.886579	−	0.127471i
$923$	−6.31094	+	2.88211i	−0.207727	+	0.0948658i
$924$	13.7805	+	4.04633i	0.453347	+	0.133115i
$925$	6.94290	−	23.4136i	0.228281	−	0.769835i
$926$	−25.8474	+	7.58949i	−0.849399	+	0.249406i
$927$	6.70505	−	10.4333i	0.220223	−	0.342673i
$928$	1.19193	+	0.544334i	0.0391269	+	0.0178686i
$929$	35.9740	−	41.5162i	1.18027	−	1.36210i	0.262528	−	0.964924i	$-0.415444\pi$
$929$	35.9740	−	41.5162i	1.18027	−	1.36210i	0.917741	−	0.397178i	$-0.130011\pi$
$930$	11.5580	−	13.3027i	0.379002	−	0.436211i
$931$	13.3287	+	92.7030i	0.436830	+	3.03822i
$932$	7.15211	−	1.02832i	0.234275	−	0.0336837i
$933$	15.7685	+	24.5363i	0.516239	+	0.803284i
$934$	27.9959	−	32.3090i	0.916055	−	1.05718i
$935$	5.68926	+	0.825755i	0.186059	+	0.0270051i
$936$	3.31197	+	2.12847i	0.108255	+	0.0695714i
$937$	5.05478	+	17.2150i	0.165132	+	0.562389i	0.999930	+	0.0118322i	$0.00376639\pi$
$937$	5.05478	+	17.2150i	0.165132	+	0.562389i	−0.834798	+	0.550557i	$0.814415\pi$
$938$	−37.3181	+	32.3363i	−1.21848	+	1.05582i
$939$	−21.8907	−	6.42769i	−0.714377	−	0.209760i
$940$	−6.31862	+	5.46034i	−0.206091	+	0.178097i
$941$	−2.44460	+	17.0026i	−0.0796918	+	0.554268i	0.910387	+	0.413757i	$0.135784\pi$
$941$	−2.44460	+	17.0026i	−0.0796918	+	0.554268i	−0.990079	+	0.140511i	$0.955125\pi$
$942$			9.88116i			0.321945i
$943$	−11.3402	−	25.9253i	−0.369288	−	0.844243i
$944$	12.9586			0.421766
$945$	1.59819	+	11.2221i	0.0519890	+	0.365055i
$946$	−11.0889	−	24.2813i	−0.360531	−	0.789452i
$947$	4.56962	−	15.5627i	0.148493	−	0.505720i	−0.851328	−	0.524633i	$-0.824202\pi$
$947$	4.56962	−	15.5627i	0.148493	−	0.505720i	0.999821	+	0.0189132i	$0.00602062\pi$
$948$	−3.20854	+	2.78022i	−0.104209	+	0.0902972i
$949$	43.9508	−	12.9051i	1.42670	−	0.418918i
$950$	−0.0669573	+	25.0444i	−0.00217238	+	0.812547i
$951$	−9.65497	+	21.1414i	−0.313084	+	0.685558i
$952$	−3.47656	−	3.01246i	−0.112676	−	0.0976343i
$953$	10.7331	+	16.7010i	0.347678	+	0.540998i	0.970418	−	0.241431i	$-0.0776168\pi$
$953$	10.7331	+	16.7010i	0.347678	+	0.540998i	−0.622740	+	0.782429i	$0.713980\pi$
$954$	0.172954	+	1.20292i	0.00559960	+	0.0389460i
$955$	19.5674	+	42.9986i	0.633185	+	1.39140i
$956$	−17.7571	+	11.4118i	−0.574305	+	0.369084i
$957$	−2.80567	−	2.43113i	−0.0906944	−	0.0785871i
$958$	12.7385	+	5.81749i	0.411563	+	0.187954i
$959$	45.2588	+	29.0861i	1.46148	+	0.939238i
$960$	−1.20639	−	1.88271i	−0.0389362	−	0.0607643i
$961$	−20.3725	−	23.5111i	−0.657176	−	0.758422i
$962$	5.41746	−	18.4502i	0.174666	−	0.594858i
$963$	11.0839	−	5.06182i	0.357172	−	0.163115i
$964$	−3.79080	+	26.3656i	−0.122094	+	0.849179i
$965$	9.37004	+	32.0699i	0.301632	+	1.03237i
$966$	−13.4705	+	20.2385i	−0.433407	+	0.651165i
$967$		−	8.02039i		−	0.257918i	−0.991650	−	0.128959i	$-0.958836\pi$
$967$		−	8.02039i		−	0.257918i	0.991650	−	0.128959i	$-0.0411636\pi$
$968$	−2.94280	−	0.423110i	−0.0945851	−	0.0135993i
$969$	1.88819	+	4.13457i	0.0606575	+	0.132821i
$970$	−36.1493	−	0.0483233i	−1.16068	−	0.00155157i
$971$	31.1286	+	35.9243i	0.998965	+	1.15287i	0.988238	+	0.152924i	$0.0488691\pi$
$971$	31.1286	+	35.9243i	0.998965	+	1.15287i	0.0107269	+	0.999942i	$0.496585\pi$
$972$	0.281733	+	0.959493i	0.00903658	+	0.0307758i
$973$	25.2977	−	39.3640i	0.811008	−	1.26195i
$974$	9.04941	−	19.8154i	0.289962	−	0.634928i
$975$	−2.85351	+	19.4768i	−0.0913855	+	0.623757i
$976$	4.83942	−	3.11011i	0.154906	−	0.0995521i
$977$	−37.6759	+	5.41698i	−1.20536	+	0.173304i	−0.715573	−	0.698538i	$-0.753834\pi$
$977$	−37.6759	+	5.41698i	−1.20536	+	0.173304i	−0.489786	+	0.871843i	$0.662925\pi$
$978$	14.7478	−	2.12042i	0.471584	−	0.0678036i
$979$	34.8315	−	22.3848i	1.11322	−	0.715423i
$980$	17.4193	−	38.0085i	0.556440	−	1.21414i
$981$	−0.197774	+	0.433065i	−0.00631444	+	0.0138267i
$982$	21.6317	−	33.6596i	0.690295	−	1.07412i
$983$	−8.12558	−	27.6732i	−0.259166	−	0.882637i	−0.981560	−	0.191156i	$-0.938776\pi$
$983$	−8.12558	−	27.6732i	−0.259166	−	0.882637i	0.722394	−	0.691482i	$-0.243042\pi$
$984$	3.86390	+	4.45917i	0.123176	+	0.142153i
$985$	0.0704014	−	52.6653i	0.00224317	−	1.67806i
$986$	0.493956	+	1.08161i	0.0157308	+	0.0344456i
$987$	−18.7397	−	2.69437i	−0.596492	−	0.0857626i
$988$			19.7198i			0.627369i
$989$	44.8226	−	5.71157i	1.42528	−	0.181617i
$990$	1.77670	+	6.08096i	0.0564674	+	0.193265i
$991$	3.82715	−	26.6184i	0.121573	−	0.845562i	−0.834201	−	0.551461i	$-0.814071\pi$
$991$	3.82715	−	26.6184i	0.121573	−	0.845562i	0.955774	−	0.294101i	$-0.0950202\pi$
$992$	−7.16878	+	3.27387i	−0.227609	+	0.103946i
$993$	−3.54565	+	12.0754i	−0.112518	+	0.383200i
$994$	5.85015	+	6.75144i	0.185556	+	0.214143i
$995$	9.87687	−	6.32884i	0.313118	−	0.200638i
$996$	4.24899	+	2.73066i	0.134634	+	0.0865242i
$997$	−9.99050	−	4.56251i	−0.316402	−	0.144496i	0.250883	−	0.968017i	$-0.419279\pi$
$997$	−9.99050	−	4.56251i	−0.316402	−	0.144496i	−0.567285	+	0.823521i	$0.692006\pi$
$998$	−14.1770	−	12.2844i	−0.448765	−	0.388857i
$999$	4.10890	−	2.64063i	0.130000	−	0.0835459i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	690.2.r.a.169.5	yes	120
5.4	even	2	inner	690.2.r.a.169.9	yes	120
23.3	even	11	inner	690.2.r.a.49.9	yes	120
115.49	even	22	inner	690.2.r.a.49.5	✓	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
690.2.r.a.49.5	✓	120	115.49	even	22	inner
690.2.r.a.49.9	yes	120	23.3	even	11	inner
690.2.r.a.169.5	yes	120	1.1	even	1	trivial
690.2.r.a.169.9	yes	120	5.4	even	2	inner

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:	\( N \)	\(=\)	\( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	690.r (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.989821 - 0.142315i) q^{2} +(-0.909632 + 0.415415i) q^{3} +(0.959493 + 0.281733i) q^{4} +(1.87948 + 1.21142i) q^{5} +(0.959493 - 0.281733i) q^{6} +(2.74068 - 4.26458i) q^{7} +(-0.909632 - 0.415415i) q^{8} +(0.654861 - 0.755750i) q^{9} +O(q^{10})\)	\(q+(-0.989821 - 0.142315i) q^{2} +(-0.909632 + 0.415415i) q^{3} +(0.959493 + 0.281733i) q^{4} +(1.87948 + 1.21142i) q^{5} +(0.959493 - 0.281733i) q^{6} +(2.74068 - 4.26458i) q^{7} +(-0.909632 - 0.415415i) q^{8} +(0.654861 - 0.755750i) q^{9} +(-1.68795 - 1.46657i) q^{10} +(-0.403204 - 2.80435i) q^{11} +(-0.989821 + 0.142315i) q^{12} +(-2.12847 - 3.31197i) q^{13} +(-3.31970 + 3.83114i) q^{14} +(-2.21288 - 0.321184i) q^{15} +(0.841254 + 0.540641i) q^{16} +(0.255658 + 0.870691i) q^{17} +(-0.755750 + 0.654861i) q^{18} +(-4.80600 - 1.41117i) q^{19} +(1.46205 + 1.69186i) q^{20} +(-0.721439 + 5.01772i) q^{21} +2.83319i q^{22} +(-4.57928 - 1.42485i) q^{23} +1.00000 q^{24} +(2.06491 + 4.55370i) q^{25} +(1.63547 + 3.58117i) q^{26} +(-0.281733 + 0.959493i) q^{27} +(3.83114 - 3.31970i) q^{28} +(-1.25726 + 0.369165i) q^{29} +(2.14465 + 0.632841i) q^{30} +(3.27387 - 7.16878i) q^{31} +(-0.755750 - 0.654861i) q^{32} +(1.53174 + 2.38343i) q^{33} +(-0.129144 - 0.898213i) q^{34} +(10.3173 - 4.69508i) q^{35} +(0.841254 - 0.540641i) q^{36} +(-3.69128 - 3.19851i) q^{37} +(4.55625 + 2.08077i) q^{38} +(3.31197 + 2.12847i) q^{39} +(-1.20639 - 1.88271i) q^{40} +(3.86390 + 4.45917i) q^{41} +(1.42819 - 4.86398i) q^{42} +(-8.57031 + 3.91393i) q^{43} +(0.403204 - 2.80435i) q^{44} +(2.14633 - 0.627105i) q^{45} +(4.32989 + 2.06205i) q^{46} +3.73471i q^{47} +(-0.989821 - 0.142315i) q^{48} +(-7.76743 - 17.0083i) q^{49} +(-1.39583 - 4.80121i) q^{50} +(-0.594253 - 0.685805i) q^{51} +(-1.10917 - 3.77747i) q^{52} +(0.657037 - 1.02237i) q^{53} +(0.415415 - 0.909632i) q^{54} +(2.63944 - 5.75917i) q^{55} +(-4.26458 + 2.74068i) q^{56} +(4.95791 - 0.712840i) q^{57} +(1.29700 - 0.186481i) q^{58} +(10.9015 - 7.00594i) q^{59} +(-2.03276 - 0.931614i) q^{60} +(2.38973 - 5.23278i) q^{61} +(-4.26077 + 6.62989i) q^{62} +(-1.42819 - 4.86398i) q^{63} +(0.654861 + 0.755750i) q^{64} +(0.0117680 - 8.80327i) q^{65} +(-1.17695 - 2.57716i) q^{66} +(9.64160 + 1.38625i) q^{67} +0.907449i q^{68} +(4.75736 - 0.606212i) q^{69} +(-10.8804 + 3.17899i) q^{70} +(0.250795 - 1.74432i) q^{71} +(-0.909632 + 0.415415i) q^{72} +(-3.27795 + 11.1637i) q^{73} +(3.19851 + 3.69128i) q^{74} +(-3.76998 - 3.28439i) q^{75} +(-4.21375 - 2.70801i) q^{76} +(-13.0644 - 5.96632i) q^{77} +(-2.97535 - 2.57815i) q^{78} +(3.57155 - 2.29529i) q^{79} +(0.926176 + 2.03524i) q^{80} +(-0.142315 - 0.989821i) q^{81} +(-3.18996 - 4.96367i) q^{82} +(-3.81713 - 3.30756i) q^{83} +(-2.10587 + 4.61121i) q^{84} +(-0.574271 + 1.94616i) q^{85} +(9.04008 - 2.65441i) q^{86} +(0.990288 - 0.858089i) q^{87} +(-0.798201 + 2.71842i) q^{88} +(6.07089 + 13.2934i) q^{89} +(-2.21373 + 0.315267i) q^{90} -19.9576 q^{91} +(-3.99236 - 2.65727i) q^{92} +7.88096i q^{93} +(0.531504 - 3.69669i) q^{94} +(-7.32327 - 8.47437i) q^{95} +(0.959493 + 0.281733i) q^{96} +(12.2178 - 10.5868i) q^{97} +(5.26783 + 17.9406i) q^{98} +(-2.38343 - 1.53174i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 120 q + 12 q^{4} + 12 q^{6} + 12 q^{9}+O(q^{10}) \) 120 * q + 12 * q^4 + 12 * q^6 + 12 * q^9	\( 120 q + 12 q^{4} + 12 q^{6} + 12 q^{9} + 18 q^{10} - 8 q^{14} - 4 q^{15} - 12 q^{16} + 22 q^{20} + 14 q^{21} + 120 q^{24} + 52 q^{25} + 16 q^{29} + 8 q^{31} - 36 q^{34} - 90 q^{35} - 12 q^{36} + 22 q^{39} + 4 q^{40} + 16 q^{41} - 4 q^{49} - 4 q^{50} + 8 q^{51} - 12 q^{54} - 56 q^{55} + 8 q^{56} + 138 q^{59} + 4 q^{60} - 36 q^{61} + 12 q^{64} + 52 q^{65} + 96 q^{70} + 8 q^{71} + 8 q^{74} - 4 q^{75} - 60 q^{79} - 12 q^{81} + 8 q^{84} + 24 q^{85} - 8 q^{86} - 104 q^{89} + 4 q^{90} - 144 q^{91} - 24 q^{94} - 14 q^{95} + 12 q^{96} - 44 q^{99}+O(q^{100}) \) 120 * q + 12 * q^4 + 12 * q^6 + 12 * q^9 + 18 * q^10 - 8 * q^14 - 4 * q^15 - 12 * q^16 + 22 * q^20 + 14 * q^21 + 120 * q^24 + 52 * q^25 + 16 * q^29 + 8 * q^31 - 36 * q^34 - 90 * q^35 - 12 * q^36 + 22 * q^39 + 4 * q^40 + 16 * q^41 - 4 * q^49 - 4 * q^50 + 8 * q^51 - 12 * q^54 - 56 * q^55 + 8 * q^56 + 138 * q^59 + 4 * q^60 - 36 * q^61 + 12 * q^64 + 52 * q^65 + 96 * q^70 + 8 * q^71 + 8 * q^74 - 4 * q^75 - 60 * q^79 - 12 * q^81 + 8 * q^84 + 24 * q^85 - 8 * q^86 - 104 * q^89 + 4 * q^90 - 144 * q^91 - 24 * q^94 - 14 * q^95 + 12 * q^96 - 44 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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