LMFDB - Embedded newform 690.2.r.a.49.9

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			49.9
Character	$\chi$	$=$	690.49
Dual form			690.2.r.a.169.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.989821 - 0.142315i) q^{2} +(0.909632 + 0.415415i) q^{3} +(0.959493 - 0.281733i) q^{4} +(0.931614 - 2.03276i) q^{5} +(0.959493 + 0.281733i) q^{6} +(-2.74068 - 4.26458i) q^{7} +(0.909632 - 0.415415i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})$	\(q+(0.989821 - 0.142315i) q^{2} +(0.909632 + 0.415415i) q^{3} +(0.959493 - 0.281733i) q^{4} +(0.931614 - 2.03276i) 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} +(0.632841 - 2.14465i) 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} +(1.69186 - 1.46205i) 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} +(0.321184 - 2.21288i) q^{20} +(-0.721439 - 5.01772i) q^{21} +2.83319i q^{22} +(4.57928 - 1.42485i) q^{23} +1.00000 q^{24} +(-3.26419 - 3.78749i) 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} +(1.46657 - 1.68795i) 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} +(-11.2221 + 1.59819i) 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} +(0.00298911 - 2.23607i) 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} +(-3.76998 - 3.28439i) 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} +(5.32492 + 3.43219i) 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} +(1.21142 - 1.87948i) 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} +(-4.74951 - 7.41215i) 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} +(-1.39583 - 4.80121i) 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} +(-0.315267 - 2.21373i) 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} +(1.53173 + 1.33084i) 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} +(2.03524 - 0.926176i) q^{90} -19.9576 q^{91} +(3.99236 - 2.65727i) q^{92} +7.88096i q^{93} +(0.531504 + 3.69669i) q^{94} +(-1.60878 + 11.0841i) 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 $\left(\mathbb{Z}/690\mathbb{Z}\right)^\times$.

$n$	$277$	$461$	$511$
$\chi(n)$	$-1$	$1$	$e\left(\frac{8}{11}\right)$

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
$5$	0.931614	−	2.03276i	0.416631	−	0.909076i
$5$	0.931614	−	2.03276i	0.416631	−	0.909076i
$6$	0.959493	+	0.281733i	0.391711	+	0.115017i
$7$	−2.74068	−	4.26458i	−1.03588	−	1.61186i	−0.759153	−	0.650912i	$-0.774387\pi$
$7$	−2.74068	−	4.26458i	−1.03588	−	1.61186i	−0.276727	−	0.960949i	$-0.589250\pi$
$8$	0.909632	−	0.415415i	0.321603	−	0.146871i
$9$	0.654861	+	0.755750i	0.218287	+	0.251917i
$10$	0.632841	−	2.14465i	0.200122	−	0.678197i
$11$	−0.403204	+	2.80435i	−0.121571	+	0.845543i	0.834207	+	0.551452i	$0.185926\pi$
$11$	−0.403204	+	2.80435i	−0.121571	+	0.845543i	−0.955777	+	0.294091i	$0.904983\pi$
$12$	0.989821	+	0.142315i	0.285737	+	0.0410828i
$13$	2.12847	−	3.31197i	0.590333	−	0.918575i	−0.409647	−	0.912244i	$-0.634348\pi$
$13$	2.12847	−	3.31197i	0.590333	−	0.918575i	0.999980	−	0.00633146i	$-0.00201538\pi$
$14$	−3.31970	−	3.83114i	−0.887227	−	1.02391i
$15$	1.69186	−	1.46205i	0.436837	−	0.377500i
$16$	0.841254	−	0.540641i	0.210313	−	0.135160i
$17$	−0.255658	+	0.870691i	−0.0620062	+	0.211174i	−0.984669	−	0.174435i	$-0.944190\pi$
$17$	−0.255658	+	0.870691i	−0.0620062	+	0.211174i	0.922663	+	0.385608i	$0.126008\pi$
$18$	0.755750	+	0.654861i	0.178132	+	0.154352i
$19$	−4.80600	+	1.41117i	−1.10257	+	0.323744i	−0.781874	−	0.623437i	$-0.785736\pi$
$19$	−4.80600	+	1.41117i	−1.10257	+	0.323744i	−0.320698	+	0.947181i	$0.603918\pi$
$20$	0.321184	−	2.21288i	0.0718189	−	0.494815i
$21$	−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
$25$	−3.26419	−	3.78749i	−0.652838	−	0.757498i
$26$	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	0.162906	−	0.986642i	$-0.447913\pi$
$29$	−1.25726	−	0.369165i	−0.233467	−	0.0685522i	−0.396373	+	0.918089i	$0.629731\pi$
$30$	1.46657	−	1.68795i	0.267758	−	0.308176i
$31$	3.27387	+	7.16878i	0.588005	+	1.28755i	0.936640	+	0.350292i	$0.113918\pi$
$31$	3.27387	+	7.16878i	0.588005	+	1.28755i	−0.348636	+	0.937258i	$0.613355\pi$
$32$	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
$35$	−11.2221	+	1.59819i	−1.89688	+	0.270143i
$36$	0.841254	+	0.540641i	0.140209	+	0.0901068i
$37$	3.69128	−	3.19851i	0.606843	−	0.525832i	−0.296343	−	0.955081i	$-0.595767\pi$
$37$	3.69128	−	3.19851i	0.606843	−	0.525832i	0.903186	+	0.429249i	$0.141222\pi$
$38$	−4.55625	+	2.08077i	−0.739121	+	0.337545i
$39$	3.31197	−	2.12847i	0.530340	−	0.340829i
$40$	0.00298911	−	2.23607i	0.000472619	−	0.353553i
$41$	3.86390	−	4.45917i	0.603439	−	0.696406i	−0.369035	−	0.929415i	$-0.620312\pi$
$41$	3.86390	−	4.45917i	0.603439	−	0.696406i	0.972474	+	0.233010i	$0.0748573\pi$
$42$	−1.42819	−	4.86398i	−0.220375	−	0.750528i
$43$	8.57031	+	3.91393i	1.30696	+	0.596868i	0.942455	−	0.334333i	$-0.108511\pi$
$43$	8.57031	+	3.91393i	1.30696	+	0.596868i	0.364505	+	0.931202i	$0.381238\pi$
$44$	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
$50$	−3.76998	−	3.28439i	−0.533156	−	0.464484i
$51$	−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	$-0.208417\pi$
$53$	−0.657037	−	1.02237i	−0.0902509	−	0.140433i	−0.883443	+	0.468538i	$0.844781\pi$
$54$	0.415415	+	0.909632i	0.0565308	+	0.123785i
$55$	5.32492	+	3.43219i	0.718012	+	0.462796i
$56$	−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	0.999991	+	0.00422934i	$0.00134624\pi$
$59$	10.9015	+	7.00594i	1.41925	+	0.912096i	0.419258	+	0.907867i	$0.362290\pi$
$60$	1.21142	−	1.87948i	0.156394	−	0.242640i
$61$	2.38973	+	5.23278i	0.305973	+	0.669988i	0.998687	−	0.0512243i	$-0.0163123\pi$
$61$	2.38973	+	5.23278i	0.305973	+	0.669988i	−0.692714	+	0.721213i	$0.743585\pi$
$62$	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
$65$	−4.74951	−	7.41215i	−0.589104	−	0.919364i
$66$	−1.17695	+	2.57716i	−0.144872	+	0.317226i
$67$	−9.64160	+	1.38625i	−1.17791	+	0.169358i	−0.703335	−	0.710858i	$-0.748307\pi$
$67$	−9.64160	+	1.38625i	−1.17791	+	0.169358i	−0.474573	+	0.880216i	$0.657398\pi$
$68$			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	0.999277	−	0.0380284i	$-0.0121077\pi$
$71$	0.250795	+	1.74432i	0.0297639	+	0.207012i	−0.969513	+	0.245041i	$0.921199\pi$
$72$	0.909632	+	0.415415i	0.107201	+	0.0489571i
$73$	3.27795	+	11.1637i	0.383655	+	1.30661i	0.894551	+	0.446967i	$0.147496\pi$
$73$	3.27795	+	11.1637i	0.383655	+	1.30661i	−0.510895	+	0.859643i	$0.670686\pi$
$74$	3.19851	−	3.69128i	0.371820	−	0.429103i
$75$	−1.39583	−	4.80121i	−0.161177	−	0.554396i
$76$	−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	0.725911	−	0.687789i	$-0.241418\pi$
$79$	3.57155	+	2.29529i	0.401831	+	0.258241i	−0.324080	+	0.946030i	$0.605055\pi$
$80$	−0.315267	−	2.21373i	−0.0352479	−	0.247503i
$81$	−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	$-0.637867\pi$
$83$	3.81713	−	3.30756i	0.418984	−	0.363052i	0.838691	+	0.544608i	$0.183322\pi$
$84$	−2.10587	−	4.61121i	−0.229769	−	0.503125i
$85$	1.53173	+	1.33084i	0.166139	+	0.144350i
$86$	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	−0.253606	−	0.967308i	$-0.581617\pi$
$89$	6.07089	−	13.2934i	0.643513	−	1.40910i	0.897119	−	0.441789i	$-0.145656\pi$
$90$	2.03524	−	0.926176i	0.214533	−	0.0976276i
$91$	−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
$95$	−1.60878	+	11.0841i	−0.165057	+	1.13720i
$96$	0.959493	−	0.281733i	0.0979278	−	0.0287542i
$97$	−12.2178	−	10.5868i	−1.24053	−	1.07493i	−0.994399	−	0.105689i	$-0.966295\pi$
$97$	−12.2178	−	10.5868i	−1.24053	−	1.07493i	−0.246131	−	0.969236i	$-0.579160\pi$
$98$	−5.26783	+	17.9406i	−0.532132	+	1.81227i
$99$	−2.38343	+	1.53174i	−0.239543	+	0.153945i
$100$	−4.19903	−	2.71444i	−0.419903	−	0.271444i
$101$	−6.54033	−	7.54795i	−0.650787	−	0.751049i	0.330456	−	0.943821i	$-0.392797\pi$
$101$	−6.54033	−	7.54795i	−0.650787	−	0.751049i	−0.981243	+	0.192773i	$0.938252\pi$
$102$	−0.490604	+	0.763395i	−0.0485771	+	0.0755874i
$103$	−12.2758	−	1.76500i	−1.20957	−	0.173910i	−0.492126	−	0.870524i	$-0.663780\pi$
$103$	−12.2758	−	1.76500i	−1.20957	−	0.173910i	−0.717446	+	0.696614i	$0.754689\pi$
$104$	0.560286	−	3.89687i	0.0549406	−	0.382120i
$105$	−10.8719	−	3.20807i	−1.06099	−	0.313076i
$106$	−0.795847	−	0.918457i	−0.0772995	−	0.0892084i
$107$	−11.0839	+	5.06182i	−1.07152	+	0.489345i	−0.871474	−	0.490442i	$-0.836835\pi$
$107$	−11.0839	+	5.06182i	−1.07152	+	0.489345i	−0.200043	+	0.979787i	$0.564108\pi$
$108$	0.540641	+	0.841254i	0.0520232	+	0.0809497i
$109$	−0.456803	−	0.134130i	−0.0437538	−	0.0128473i	0.259782	−	0.965667i	$-0.416349\pi$
$109$	−0.456803	−	0.134130i	−0.0437538	−	0.0128473i	−0.303536	+	0.952820i	$0.598167\pi$
$110$	5.75917	+	2.63944i	0.549116	+	0.251660i
$111$	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	$-0.665867\pi$
$113$	−7.77215	+	1.11747i	−0.731142	+	0.105122i	−0.233318	+	0.972400i	$0.574958\pi$
$114$	−5.00889			−0.469126
$115$	1.36975	−	10.6360i	0.127730	−	0.991809i
$116$	−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
$120$	0.931614	−	2.03276i	0.0850444	−	0.185564i
$121$	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
$125$	−10.7400	+	3.10682i	−0.960615	+	0.277882i
$126$	0.721439	−	5.01772i	0.0642709	−	0.447014i
$127$	−12.2486	−	1.76108i	−1.08689	−	0.156271i	−0.424496	−	0.905430i	$-0.639549\pi$
$127$	−12.2486	−	1.76108i	−1.08689	−	0.156271i	−0.662390	+	0.749159i	$0.730458\pi$
$128$	0.540641	−	0.841254i	0.0477863	−	0.0743570i
$129$	6.16992	+	7.12047i	0.543231	+	0.626922i
$130$	−5.75602	−	6.66078i	−0.504837	−	0.584189i
$131$	2.90799	−	1.86885i	0.254072	−	0.163282i	−0.407405	−	0.913248i	$-0.633566\pi$
$131$	2.90799	−	1.86885i	0.254072	−	0.163282i	0.661477	+	0.749965i	$0.269930\pi$
$132$	−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
$135$	2.21288	+	0.321184i	0.190454	+	0.0276431i
$136$	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	$0.371971\pi$
$140$	−10.3173	+	4.69508i	−0.871969	+	0.396807i
$141$	−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
$145$	−1.92170	+	2.21178i	−0.159589	+	0.183679i
$146$	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	−0.999455	−	0.0330053i	$-0.989492\pi$
$149$	−0.380677	+	2.64767i	−0.0311863	+	0.216906i	0.968269	+	0.249911i	$0.0804013\pi$
$150$	−2.06491	−	4.55370i	−0.168599	−	0.371808i
$151$	−14.0206	−	9.01051i	−1.14098	−	0.733265i	−0.173159	−	0.984894i	$-0.555397\pi$
$151$	−14.0206	−	9.01051i	−1.14098	−	0.733265i	−0.967824	+	0.251629i	$0.919034\pi$
$152$	−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
$155$	17.6224	+	0.0235570i	1.41546	+	0.00189215i
$156$	2.57815	−	2.97535i	0.206417	−	0.238218i
$157$	2.78384	+	9.48090i	0.222175	+	0.756658i	0.992844	+	0.119422i	$0.0381042\pi$
$157$	2.78384	+	9.48090i	0.222175	+	0.756658i	−0.770669	+	0.637236i	$0.780078\pi$
$158$	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	$-0.743776\pi$
$163$	−14.7478	+	2.12042i	−1.15514	+	0.166084i	−0.461996	+	0.886882i	$0.652866\pi$
$164$	2.45109	−	5.36713i	0.191398	−	0.419102i
$165$	3.41794	+	5.33408i	0.266086	+	0.415258i
$166$	3.30756	−	3.81713i	0.256716	−	0.296266i
$167$	2.38794	−	8.13259i	0.184785	−	0.629319i	−0.814038	−	0.580811i	$-0.802735\pi$
$167$	2.38794	−	8.13259i	0.184785	−	0.629319i	0.998823	−	0.0485073i	$-0.0154464\pi$
$168$	−2.74068	−	4.26458i	−0.211448	−	0.329020i
$169$	−1.03835	−	2.27367i	−0.0798732	−	0.174898i
$170$	1.70554	+	1.09931i	0.130809	+	0.0843129i
$171$	−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	$-0.153438\pi$
$173$	21.1184	+	3.03637i	1.60560	+	0.230851i	0.719552	+	0.694439i	$0.244347\pi$
$174$	−1.10233	−	0.708422i	−0.0835672	−	0.0537054i
$175$	−7.20596	+	24.3007i	−0.544719	+	1.83696i
$176$	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	0.131950	+	0.991256i	$0.457876\pi$
$179$	−11.6130	+	13.4021i	−0.867996	+	1.00172i	−0.999945	+	0.0104639i	$0.996669\pi$
$180$	1.88271	−	1.20639i	0.140329	−	0.0899193i
$181$	−3.44328	+	7.53972i	−0.255937	+	0.560423i	−0.993365	−	0.115002i	$-0.963313\pi$
$181$	−3.44328	+	7.53972i	−0.255937	+	0.560423i	0.737429	+	0.675425i	$0.236040\pi$
$182$	−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
$190$	−0.0149721	+	11.2002i	−0.00108619	+	0.812549i
$191$	17.7732	−	11.4221i	1.28602	−	0.826477i	0.294405	−	0.955681i	$-0.404879\pi$
$191$	17.7732	−	11.4221i	1.28602	−	0.826477i	0.991618	+	0.129204i	$0.0412422\pi$
$192$	0.909632	−	0.415415i	0.0656470	−	0.0299800i
$193$	−11.2922	+	9.78476i	−0.812832	+	0.704323i	−0.958525	−	0.285007i	$-0.908004\pi$
$193$	−11.2922	+	9.78476i	−0.812832	+	0.704323i	0.145694	+	0.989330i	$0.453459\pi$
$194$	−13.6001	−	8.74026i	−0.976431	−	0.627514i
$195$	−1.24119	−	8.71534i	−0.0888833	−	0.624119i
$196$	−2.66100	+	18.5077i	−0.190072	+	1.32198i
$197$	12.7335	−	19.8138i	0.907226	−	1.41167i	−0.00410246	−	0.999992i	$-0.501306\pi$
$197$	12.7335	−	19.8138i	0.907226	−	1.41167i	0.911329	−	0.411680i	$-0.135058\pi$
$198$	−2.14118	+	1.85534i	−0.152167	+	0.131853i
$199$	2.17930	+	4.77200i	0.154486	+	0.338278i	0.971012	−	0.239031i	$-0.0768299\pi$
$199$	2.17930	+	4.77200i	0.154486	+	0.338278i	−0.816525	+	0.577309i	$0.804103\pi$
$200$	−4.54259	−	2.08923i	−0.321210	−	0.147731i
$201$	−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
$205$	−5.46475	−	12.0086i	−0.381675	−	0.838716i
$206$	−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
$210$	−11.2178	−	1.62818i	−0.774102	−	0.112355i
$211$	3.69389	−	1.08462i	0.254298	−	0.0746685i	−0.152099	−	0.988365i	$-0.548603\pi$
$211$	3.69389	−	1.08462i	0.254298	−	0.0746685i	0.406397	+	0.913697i	$0.366785\pi$
$212$	−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
$215$	15.9403	−	13.7751i	1.08712	−	0.939452i
$216$	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
$220$	6.07618	+	1.79296i	0.409656	+	0.120881i
$221$	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	0.963901	+	0.266259i	$0.0857878\pi$
$223$	12.0314	+	18.7212i	0.805680	+	1.25366i	−0.158221	+	0.987404i	$0.550576\pi$
$224$	−4.86398	−	1.42819i	−0.324988	−	0.0954251i
$225$	0.724803	−	4.94719i	0.0483202	−	0.329812i
$226$	−7.53401	+	2.21218i	−0.501155	+	0.147152i
$227$	5.61271	+	2.56324i	0.372528	+	0.170128i	0.592877	−	0.805293i	$-0.297992\pi$
$227$	5.61271	+	2.56324i	0.372528	+	0.170128i	−0.220348	+	0.975421i	$0.570719\pi$
$228$	−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	$0.523791\pi$
$230$	−0.157847	−	10.7226i	−0.0104081	−	0.707030i
$231$	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	$-0.439697\pi$
$233$	−6.57269	−	3.00165i	−0.430591	−	0.196644i	−0.618907	+	0.785464i	$0.712424\pi$
$234$	3.77747	−	1.10917i	0.246941	−	0.0725085i
$235$	7.59175	+	3.47931i	0.495231	+	0.226965i
$236$	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	−0.999300	−	0.0374143i	$-0.988088\pi$
$239$	−13.8227	−	15.9523i	−0.894118	−	1.03187i	0.105182	−	0.994453i	$-0.466458\pi$
$240$	0.632841	−	2.14465i	0.0408497	−	0.138436i
$241$	3.79080	−	26.3656i	0.244187	−	1.69836i	−0.386474	−	0.922300i	$-0.626307\pi$
$241$	3.79080	−	26.3656i	0.244187	−	1.69836i	0.630661	−	0.776058i	$-0.282784\pi$
$242$	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
$245$	27.3375	+	31.6345i	1.74653	+	2.02105i
$246$	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
$250$	−10.1885	+	4.60366i	−0.644380	+	0.291161i
$251$	1.72827	+	12.0204i	0.109087	+	0.758719i	0.968783	+	0.247912i	$0.0797443\pi$
$251$	1.72827	+	12.0204i	0.109087	+	0.758719i	−0.859695	+	0.510807i	$0.829347\pi$
$252$		−	5.06932i		−	0.319337i
$253$	2.14939	+	13.4164i	0.135131	+	0.843482i
$254$	−12.3745			−0.776448
$255$	0.840458	+	1.84688i	0.0526315	+	0.115656i
$256$	0.415415	−	0.909632i	0.0259634	−	0.0568520i
$257$	−3.90674	−	13.3051i	−0.243696	−	0.829952i	−0.986962	−	0.160956i	$-0.948542\pi$
$257$	−3.90674	−	13.3051i	−0.243696	−	0.829952i	0.743266	−	0.668996i	$-0.233276\pi$
$258$	7.12047	+	6.16992i	0.443301	+	0.384122i
$259$	−23.7569	−	6.97567i	−1.47618	−	0.433447i
$260$	−6.64536	−	5.77381i	−0.412128	−	0.358077i
$261$	−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	$-0.865366\pi$
$263$	−2.58983	+	4.02985i	−0.159696	+	0.248491i	0.752180	+	0.658958i	$0.229002\pi$
$264$	−0.403204	+	2.80435i	−0.0248155	+	0.172596i
$265$	−2.69033	+	0.383141i	−0.165266	+	0.0235362i
$266$	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	−0.506802	−	0.862063i	$-0.669172\pi$
$269$	1.09601	−	0.704364i	0.0668250	−	0.0429458i	0.573627	+	0.819117i	$0.305536\pi$
$270$	2.23607	+	0.00298911i	0.136083	+	0.000181911i
$271$	−6.51024	+	7.51322i	−0.395469	+	0.456396i	−0.918209	−	0.396097i	$-0.870365\pi$
$271$	−6.51024	+	7.51322i	−0.395469	+	0.456396i	0.522740	+	0.852492i	$0.324910\pi$
$272$	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
$280$	−9.54408	+	6.11560i	−0.570368	+	0.365477i
$281$	−6.10552	+	7.04615i	−0.364225	+	0.420338i	−0.908051	−	0.418860i	$-0.862430\pi$
$281$	−6.10552	+	7.04615i	−0.364225	+	0.420338i	0.543826	+	0.839198i	$0.316975\pi$
$282$	−1.05219	+	3.58343i	−0.0626569	+	0.213390i
$283$	−4.84530	−	7.53943i	−0.288023	−	0.448172i	0.666848	−	0.745194i	$-0.267643\pi$
$283$	−4.84530	−	7.53943i	−0.288023	−	0.448172i	−0.954871	+	0.297021i	$0.904007\pi$
$284$	0.732067	+	1.60300i	0.0434402	+	0.0951207i
$285$	−6.06789	+	9.41413i	−0.359431	+	0.557645i
$286$	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
$290$	−1.58737	+	2.46276i	−0.0932138	+	0.144618i
$291$	−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	−0.701565	−	0.712605i	$-0.747515\pi$
$293$	4.68828	−	15.9668i	0.273892	−	0.932792i	0.975458	−	0.220187i	$-0.0706667\pi$
$294$	−12.2446	+	14.1310i	−0.714119	+	0.824137i
$295$	24.3973	−	15.6332i	1.42047	−	0.910198i
$296$	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
$305$	12.8633	+	0.0171952i	0.736548	+	0.000984596i
$306$	−0.763395	+	0.490604i	−0.0436404	+	0.0280460i
$307$	5.86837	−	2.68000i	0.334926	−	0.152956i	−0.240852	−	0.970562i	$-0.577427\pi$
$307$	5.86837	−	2.68000i	0.334926	−	0.152956i	0.575777	+	0.817606i	$0.304699\pi$
$308$	10.8543	−	9.40532i	0.618482	−	0.535918i
$309$	−10.4333	−	6.70505i	−0.593528	−	0.381437i
$310$	17.4463	−	2.48461i	0.990886	−	0.141116i
$311$	−4.15081	+	28.8695i	−0.235371	+	1.63704i	0.438885	+	0.898543i	$0.355373\pi$
$311$	−4.15081	+	28.8695i	−0.235371	+	1.63704i	−0.674256	+	0.738498i	$0.735536\pi$
$312$	2.12847	−	3.31197i	0.120501	−	0.187503i
$313$	−17.2423	+	14.9406i	−0.974594	+	0.844491i	−0.987848	−	0.155421i	$-0.950327\pi$
$313$	−17.2423	+	14.9406i	−0.974594	+	0.844491i	0.0132538	+	0.999912i	$0.495781\pi$
$314$	4.10478	+	8.98821i	0.231646	+	0.507234i
$315$	−8.55675	−	7.43452i	−0.482118	−	0.418888i
$316$	4.07353	+	1.19610i	0.229154	+	0.0672858i
$317$	−17.5649	−	15.2201i	−0.986545	−	0.854846i	0.00286469	−	0.999996i	$-0.499088\pi$
$317$	−17.5649	−	15.2201i	−0.986545	−	0.854846i	−0.989410	+	0.145150i	$0.953634\pi$
$318$	−0.342387	−	1.16606i	−0.0192001	−	0.0653896i
$319$	1.54220	−	3.37695i	0.0863466	−	0.189073i
$320$	−0.926176	−	2.03524i	−0.0517748	−	0.113773i
$321$	−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
$325$	−19.4918	+	2.74933i	−1.08121	+	0.152505i
$326$	−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
$330$	4.14227	+	4.79336i	0.228024	+	0.263866i
$331$	8.24153	+	9.51123i	0.452995	+	0.522785i	0.935604	−	0.353052i	$-0.114856\pi$
$331$	8.24153	+	9.51123i	0.452995	+	0.522785i	−0.482608	+	0.875836i	$0.660311\pi$
$332$	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
$335$	−6.16434	+	20.8905i	−0.336794	+	1.14137i
$336$	−3.31970	−	3.83114i	−0.181104	−	0.209006i
$337$	6.60341	−	3.01568i	0.359711	−	0.164274i	−0.227359	−	0.973811i	$-0.573009\pi$
$337$	6.60341	−	3.01568i	0.359711	−	0.164274i	0.587069	+	0.809537i	$0.300282\pi$
$338$	−1.35136	−	2.10276i	−0.0735043	−	0.114375i
$339$	−7.53401	−	2.21218i	−0.409191	−	0.120149i
$340$	1.84462	+	0.845393i	0.100039	+	0.0458479i
$341$	−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
$345$	5.66431	−	9.10580i	0.304956	−	0.490240i
$346$	21.3356			1.14701
$347$	7.73828	−	1.11260i	0.415413	−	0.0597273i	0.0685601	−	0.997647i	$-0.478160\pi$
$347$	7.73828	−	1.11260i	0.415413	−	0.0597273i	0.346853	+	0.937920i	$0.387250\pi$
$348$	−1.19193	−	0.544334i	−0.0638939	−	0.0291794i
$349$	−21.0980	+	6.19492i	−1.12935	+	0.331607i	−0.792452	−	0.609935i	$-0.791196\pi$
$349$	−21.0980	+	6.19492i	−1.12935	+	0.331607i	−0.336897	+	0.941541i	$0.609377\pi$
$350$	−3.67426	+	25.0789i	−0.196397	+	1.34052i
$351$	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	$-0.620352\pi$
$353$	1.71867	−	0.784891i	0.0914757	−	0.0417756i	0.460627	+	0.887594i	$0.347624\pi$
$354$	8.48607	+	9.79345i	0.451030	+	0.520516i
$355$	3.77942	+	1.11523i	0.200591	+	0.0591901i
$356$	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	0.722353	−	0.691525i	$-0.243061\pi$
$359$	−1.23034	−	1.41989i	−0.0649348	−	0.0749387i	−0.787288	+	0.616586i	$0.788515\pi$
$360$	1.69186	−	1.46205i	0.0891690	−	0.0770569i
$361$	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
$365$	25.7468	+	3.73697i	1.34765	+	0.195602i
$366$	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
$370$	−4.52369	−	9.94065i	−0.235175	−	0.516790i
$371$	−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	$-0.432364\pi$
$373$	−14.0341	−	12.1606i	−0.726658	−	0.629653i	−0.937548	+	0.347857i	$0.886910\pi$
$374$	−2.46683	−	0.724327i	−0.127557	−	0.0374540i
$375$	−11.0601	−	1.63550i	−0.571140	−	0.0844566i
$376$	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	−0.632593	−	0.774484i	$-0.718010\pi$
$379$	3.74899	−	26.0748i	0.192573	−	1.33937i	0.825166	−	0.564890i	$-0.191081\pi$
$380$	1.57914	+	11.0883i	0.0810081	+	0.568820i
$381$	−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	$-0.738722\pi$
$383$	−11.2527	+	5.13893i	−0.574985	+	0.262587i	0.106629	+	0.994299i	$0.465994\pi$
$384$	0.841254	−	0.540641i	0.0429300	−	0.0275895i
$385$	0.0429305	−	32.1151i	0.00218794	−	1.63674i
$386$	−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	−0.824337	−	0.566099i	$-0.808452\pi$
$389$	−3.80419	−	26.4587i	−0.192880	−	1.34151i	0.631458	−	0.775410i	$-0.282457\pi$
$390$	−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
$395$	7.99308	−	5.12175i	0.402175	−	0.257703i
$396$	−1.85534	+	2.14118i	−0.0932345	+	0.107598i
$397$	−4.73908	+	16.1398i	−0.237847	+	0.810034i	0.750897	+	0.660419i	$0.229621\pi$
$397$	−4.73908	+	16.1398i	−0.237847	+	0.810034i	−0.988744	+	0.149615i	$0.952197\pi$
$398$	2.83624	+	4.41328i	0.142168	+	0.221218i
$399$	10.5481	+	23.0971i	0.528065	+	1.15630i
$400$	−4.79368	−	1.42148i	−0.239684	−	0.0710742i
$401$	2.29799	+	1.47683i	0.114756	+	0.0737493i	0.596760	−	0.802420i	$-0.296454\pi$
$401$	2.29799	+	1.47683i	0.114756	+	0.0737493i	−0.482004	+	0.876169i	$0.660091\pi$
$402$	−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
$405$	1.87948	+	1.21142i	0.0933922	+	0.0601961i
$406$	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	0.0383049	−	0.999266i	$-0.487804\pi$
$409$	20.6676	−	23.8517i	1.02195	−	1.17939i	0.983644	−	0.180125i	$-0.0576503\pi$
$410$	−7.11812	−	11.1086i	−0.351539	−	0.548617i
$411$	−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	−0.849512	−	0.527569i	$-0.823104\pi$
$419$	−4.22520	+	4.87614i	−0.206415	+	0.238215i	0.643097	+	0.765784i	$0.277649\pi$
$420$	−11.3353	−	0.0151527i	−0.553108	−	0.000739378i
$421$	1.23298	−	0.792387i	0.0600917	−	0.0386186i	−0.510250	−	0.860026i	$-0.670447\pi$
$421$	1.23298	−	0.792387i	0.0600917	−	0.0386186i	0.570342	+	0.821408i	$0.306811\pi$
$422$	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
$425$	4.13225	−	1.87380i	0.200444	−	0.0908926i
$426$	−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
$430$	13.8176	−	15.9034i	0.666345	−	0.766930i
$431$	−8.33407	−	2.44710i	−0.401438	−	0.117873i	0.0747800	−	0.997200i	$-0.476175\pi$
$431$	−8.33407	−	2.44710i	−0.401438	−	0.117873i	−0.476218	+	0.879327i	$0.657993\pi$
$432$	0.755750	+	0.654861i	0.0363610	+	0.0315070i
$433$	0.102888	+	0.350405i	0.00494450	+	0.0168394i	0.961928	−	0.273302i	$-0.0881158\pi$
$433$	0.102888	+	0.350405i	0.00494450	+	0.0168394i	−0.956984	+	0.290141i	$0.906298\pi$
$434$	16.5963	−	36.3408i	0.796648	−	1.74442i
$435$	−2.66685	+	1.21360i	−0.127866	+	0.0581879i
$436$	−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	0.804001	+	0.594629i	$0.202701\pi$
$439$	4.19243	+	29.1590i	0.200094	+	1.39168i	−0.603907	+	0.797055i	$0.706390\pi$
$440$	6.26950	+	0.909974i	0.298887	+	0.0433813i
$441$	−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	$-0.925997\pi$
$443$	−0.629596	+	2.14421i	−0.0299130	+	0.101874i	0.943183	+	0.332272i	$0.107815\pi$
$444$	4.10890	−	2.64063i	0.195000	−	0.125319i
$445$	−21.3665	−	24.7250i	−1.01287	−	1.17208i
$446$	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	−0.979965	−	0.199171i	$-0.936175\pi$
$449$	0.347880	−	2.41956i	0.0164175	−	0.114186i	0.996382	+	0.0849848i	$0.0270842\pi$
$450$	0.0133677	−	4.99998i	0.000630158	−	0.235701i
$451$	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
$455$	−18.5928	+	40.5690i	−0.871645	+	1.90190i
$456$	−4.80600	+	1.41117i	−0.225062	+	0.0660840i
$457$	6.11286	+	2.79165i	0.285948	+	0.130588i	0.553225	−	0.833032i	$-0.313397\pi$
$457$	6.11286	+	2.79165i	0.285948	+	0.130588i	−0.267278	+	0.963620i	$0.586124\pi$
$458$	−2.23698	+	0.321629i	−0.104527	+	0.0150288i
$459$	−0.907449			−0.0423561
$460$	−1.68223	−	10.5910i	−0.0784345	−	0.493810i
$461$	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	$-0.578934\pi$
$463$	−24.5042	−	11.1907i	−1.13881	−	0.520077i	−0.893364	+	0.449334i	$0.851661\pi$
$464$	−1.25726	+	0.369165i	−0.0583669	+	0.0171381i
$465$	16.0201	+	7.34202i	0.742913	+	0.340478i
$466$	−6.93297	−	2.03570i	−0.321163	−	0.0943021i
$467$	23.1129	+	35.9644i	1.06954	+	1.66423i	0.658417	+	0.752654i	$0.271227\pi$
$467$	23.1129	+	35.9644i	1.06954	+	1.66423i	0.411122	+	0.911580i	$0.365137\pi$
$468$	3.58117	−	1.63547i	0.165540	−	0.0755995i
$469$	32.3363	+	37.3181i	1.49315	+	1.72319i
$470$	8.00963	+	2.36348i	0.369457	+	0.109019i
$471$	−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
$475$	21.0325	+	13.5963i	0.965036	+	0.623843i
$476$	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	−0.573896	−	0.818928i	$-0.694569\pi$
$479$	−13.4368	+	3.94539i	−0.613942	+	0.180270i	−0.0400459	+	0.999198i	$0.512750\pi$
$480$	0.321184	−	2.21288i	0.0146600	−	0.101004i
$481$	−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
$485$	−32.9026	+	14.9730i	−1.49403	+	0.679889i
$486$	−0.415415	+	0.909632i	−0.0188436	+	0.0412617i
$487$	6.13727	+	20.9016i	0.278106	+	0.947142i	0.973533	+	0.228546i	$0.0733970\pi$
$487$	6.13727	+	20.9016i	0.278106	+	0.947142i	−0.695427	+	0.718597i	$0.744785\pi$
$488$	4.34755	+	3.76717i	0.196804	+	0.170532i
$489$	−14.2960	−	4.19768i	−0.646486	−	0.189825i
$490$	31.5613	+	27.4219i	1.42579	+	1.23880i
$491$	−16.6213	−	36.3955i	−0.750107	−	1.64250i	−0.766173	−	0.642634i	$-0.777842\pi$
$491$	−16.6213	−	36.3955i	−0.750107	−	1.64250i	0.0160666	−	0.999871i	$-0.494886\pi$
$492$	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
$495$	0.893209	+	6.27191i	0.0401468	+	0.281902i
$496$	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	−0.137448	−	0.990509i	$-0.543890\pi$
$499$	15.7810	−	10.1418i	0.706453	−	0.454010i	0.843901	+	0.536499i	$0.180254\pi$
$500$	−9.42967	+	6.00678i	−0.421707	+	0.268631i
$501$	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	$-0.102339\pi$
$503$	29.8568	+	13.6352i	1.33125	+	0.607962i	0.382491	+	0.923959i	$0.375066\pi$
$504$	−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	−0.752206	−	0.658928i	$-0.771010\pi$
$509$	5.37785	−	11.7759i	0.238369	−	0.521955i	0.990575	+	0.136973i	$0.0437373\pi$
$510$	1.09474	+	1.70847i	0.0484760	+	0.0756522i
$511$	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
$515$	−15.0241	+	23.3094i	−0.662042	+	1.02714i
$516$	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
$520$	−7.39942	−	4.76931i	−0.324486	−	0.209148i
$521$	18.0671	+	39.5615i	0.791535	+	1.73322i	0.672203	+	0.740367i	$0.265348\pi$
$521$	18.0671	+	39.5615i	0.791535	+	1.73322i	0.119332	+	0.992854i	$0.461925\pi$
$522$	−0.708422	−	1.10233i	−0.0310068	−	0.0482475i
$523$	−4.01300	+	13.6670i	−0.175476	+	0.597616i	0.824041	+	0.566531i	$0.191715\pi$
$523$	−4.01300	+	13.6670i	−0.175476	+	0.597616i	−0.999517	+	0.0310859i	$0.990103\pi$
$524$	2.26368	−	2.61243i	0.0988893	−	0.114124i
$525$	−16.6496	+	19.1112i	−0.726650	+	0.834083i
$526$	−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
$535$	−0.0364222	+	27.2464i	−0.00157467	+	1.17797i
$536$	−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
$540$	2.21373	−	0.315267i	0.0952638	−	0.0135669i
$541$	0.587002	−	4.08269i	0.0252372	−	0.175528i	−0.973304	−	0.229519i	$-0.926285\pi$
$541$	0.587002	−	4.08269i	0.0252372	−	0.175528i	0.998541	+	0.0539901i	$0.0171939\pi$
$542$	−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
$545$	−0.698217	+	0.803612i	−0.0299083	+	0.0344230i
$546$	−19.1492	−	5.62272i	−0.819511	−	0.240630i
$547$	−26.4087	−	22.8833i	−1.12916	−	0.978420i	−0.129243	−	0.991613i	$-0.541255\pi$
$547$	−26.4087	−	22.8833i	−1.12916	−	0.978420i	−0.999913	+	0.0131933i	$0.995800\pi$
$548$	2.98995	+	10.1828i	0.127724	+	0.434989i
$549$	−2.38973	+	5.23278i	−0.101991	+	0.223329i
$550$	10.7307	−	9.24806i	0.457557	−	0.394338i
$551$	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
$555$	1.56875	−	10.8083i	0.0665896	−	0.458787i
$556$	8.85656	−	2.60052i	0.375602	−	0.110287i
$557$	4.97483	+	4.31071i	0.210790	+	0.182651i	0.753857	−	0.657039i	$-0.228191\pi$
$557$	4.97483	+	4.31071i	0.210790	+	0.182651i	−0.543066	+	0.839690i	$0.682737\pi$
$558$	−2.22032	+	7.56173i	−0.0939938	+	0.320114i
$559$	31.2045	−	20.0539i	1.31981	−	0.848190i
$560$	−8.57660	+	7.41161i	−0.362427	+	0.313198i
$561$	−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	$-0.391213\pi$
$563$	9.28421	+	1.33487i	0.391283	+	0.0562580i	0.0561343	+	0.998423i	$0.482123\pi$
$564$	−0.531504	+	3.69669i	−0.0223804	+	0.155659i
$565$	−4.96911	+	16.8399i	−0.209052	+	0.708461i
$566$	−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	0.612296	−	0.790629i	$-0.290246\pi$
$569$	16.6963	+	4.90248i	0.699946	+	0.205523i	0.0876499	+	0.996151i	$0.472064\pi$
$570$	−4.66636	+	10.1819i	−0.195452	+	0.426471i
$571$	−34.6144	+	10.1637i	−1.44857	+	0.425337i	−0.909068	−	0.416649i	$-0.863204\pi$
$571$	−34.6144	+	10.1637i	−1.44857	+	0.425337i	−0.539499	+	0.841986i	$0.681386\pi$
$572$	10.1461	+	4.63358i	0.424231	+	0.193740i
$573$	20.9120	−	3.00669i	0.873611	−	0.125606i
$574$	−29.9107			−1.24845
$575$	−20.3442	−	12.6930i	−0.848413	−	0.529334i
$576$	1.00000			0.0416667
$577$	27.0831	−	3.89396i	1.12748	−	0.162108i	0.446764	−	0.894652i	$-0.352576\pi$
$577$	27.0831	−	3.89396i	1.12748	−	0.162108i	0.680719	+	0.732544i	$0.261667\pi$
$578$	14.7147	+	6.71998i	0.612051	+	0.279514i
$579$	−14.3365	+	4.20958i	−0.595805	+	0.174944i
$580$	−1.22073	+	2.66360i	−0.0506881	+	0.110600i
$581$	−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
$585$	2.49146	−	8.44336i	0.103009	−	0.349090i
$586$	2.36825	−	16.4715i	0.0978314	−	0.680432i
$587$	22.7074	+	3.26483i	0.937233	+	0.134754i	0.593972	−	0.804486i	$-0.297559\pi$
$587$	22.7074	+	3.26483i	0.937233	+	0.134754i	0.343262	+	0.939240i	$0.388468\pi$
$588$	−10.1089	+	15.7298i	−0.416884	+	0.648684i
$589$	−25.8506	−	29.8332i	−1.06515	−	1.22925i
$590$	21.9242	−	18.9461i	0.902604	−	0.780001i
$591$	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	$-0.405408\pi$
$593$	−14.9019	−	12.9126i	−0.611948	−	0.530256i	−0.904764	+	0.425913i	$0.859953\pi$
$594$	−2.71842	+	0.798201i	−0.111538	+	0.0327506i
$595$	1.47750	−	10.1796i	0.0605714	−	0.417322i
$596$	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	$0.662138\pi$
$600$	−3.26419	−	3.78749i	−0.133260	−	0.154624i
$601$	6.47142	−	14.1704i	0.263975	−	0.578024i	−0.730510	−	0.682902i	$-0.760718\pi$
$601$	6.47142	−	14.1704i	0.263975	−	0.578024i	0.994485	+	0.104878i	$0.0334451\pi$
$602$	−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
$605$	4.36020	−	5.01837i	0.177267	−	0.204026i
$606$	−4.14890	−	9.08483i	−0.168538	−	0.369046i
$607$	−8.64727	+	7.49290i	−0.350982	+	0.304128i	−0.812452	−	0.583028i	$-0.801868\pi$
$607$	−8.64727	+	7.49290i	−0.350982	+	0.304128i	0.461470	+	0.887156i	$0.347322\pi$
$608$	−2.70801	+	4.21375i	−0.109824	+	0.170890i
$609$	−0.945330	+	6.57491i	−0.0383067	+	0.266429i
$610$	12.7348	−	1.81361i	0.515616	−	0.0734310i
$611$	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	$-0.612448\pi$
$613$	3.38096	−	1.54403i	0.136556	−	0.0623629i	0.482521	+	0.875884i	$0.339721\pi$
$614$	5.42724	−	3.48788i	0.219026	−	0.140759i
$615$	0.0176367	−	13.1935i	0.000711181	−	0.532014i
$616$	9.40532	−	10.8543i	0.378951	−	0.437333i
$617$	10.5140	+	35.8074i	0.423278	+	1.44155i	0.844971	+	0.534812i	$0.179618\pi$
$617$	10.5140	+	35.8074i	0.423278	+	1.44155i	−0.421693	+	0.906739i	$0.638564\pi$
$618$	−11.2813	−	5.15200i	−0.453800	−	0.207244i
$619$	3.93580	+	27.3741i	0.158193	+	1.10026i	0.901960	+	0.431819i	$0.142128\pi$
$619$	3.93580	+	27.3741i	0.158193	+	1.10026i	−0.743767	+	0.668439i	$0.766963\pi$
$620$	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
$625$	−3.69014	+	24.7262i	−0.147605	+	0.989046i
$626$	−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
$630$	−9.52770	−	6.14109i	−0.379592	−	0.244667i
$631$	−11.2795	−	7.24891i	−0.449031	−	0.288574i	0.296516	−	0.955028i	$-0.404175\pi$
$631$	−11.2795	−	7.24891i	−0.449031	−	0.288574i	−0.745547	+	0.666453i	$0.767812\pi$
$632$	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
$635$	−14.9908	+	23.2577i	−0.594892	+	0.922955i
$636$	−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
$640$	−1.20639	−	1.88271i	−0.0476869	−	0.0744208i
$641$	−8.88895	+	19.4641i	−0.351092	+	0.768785i	0.648876	+	0.760894i	$0.275239\pi$
$641$	−8.88895	+	19.4641i	−0.351092	+	0.768785i	−0.999969	+	0.00789146i	$0.997488\pi$
$642$	−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	$-0.402034\pi$
$647$	−5.56868	−	2.54313i	−0.218927	−	0.0999807i	−0.521860	+	0.853031i	$0.674762\pi$
$648$	0.281733	+	0.959493i	0.0110675	+	0.0376924i
$649$	−24.0426	+	27.7467i	−0.943756	+	1.08915i
$650$	−18.9021	+	5.49532i	−0.741402	+	0.215544i
$651$	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	$-0.926522\pi$
$653$	−22.6292	+	19.6083i	−0.885549	+	0.767333i	0.0879256	+	0.996127i	$0.471976\pi$
$654$	−0.400511	−	0.257393i	−0.0156612	−	0.0100649i
$655$	−1.08979	−	7.65228i	−0.0425817	−	0.298999i
$656$	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	−0.966962	−	0.254922i	$-0.917950\pi$
$659$	−13.5130	−	29.5894i	−0.526393	−	1.15264i	0.440568	−	0.897719i	$-0.354777\pi$
$660$	4.78227	+	4.15507i	0.186150	+	0.161736i
$661$	−1.85717	−	0.545315i	−0.0722357	−	0.0212103i	0.245415	−	0.969418i	$-0.421076\pi$
$661$	−1.85717	−	0.545315i	−0.0722357	−	0.0212103i	−0.317651	+	0.948208i	$0.602894\pi$
$662$	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
$665$	51.6781	−	23.5172i	2.00399	−	0.911957i
$666$	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
$670$	−3.12857	+	21.5551i	−0.120867	+	0.832747i
$671$	−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	$-0.966941\pi$
$673$	−2.64203	+	8.99792i	−0.101843	+	0.346844i	0.892769	+	0.450515i	$0.148759\pi$
$674$	6.10702	−	3.92474i	0.235234	−	0.151175i
$675$	2.71444	−	4.19903i	0.104479	−	0.161621i
$676$	−1.63686	−	1.88904i	−0.0629561	−	0.0726552i
$677$	−8.23888	+	12.8200i	−0.316646	+	0.492711i	−0.962696	−	0.270584i	$-0.912783\pi$
$677$	−8.23888	+	12.8200i	−0.316646	+	0.492711i	0.646050	+	0.763295i	$0.276420\pi$
$678$	−7.77215	−	1.11747i	−0.298488	−	0.0429160i
$679$	−11.6631	+	81.1189i	−0.447590	+	3.11306i
$680$	1.94616	+	0.574271i	0.0746318	+	0.0220223i
$681$	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	−0.999967	−	0.00808508i	$-0.997426\pi$
$683$	−15.4694	−	24.0709i	−0.591920	−	0.921046i	0.408047	−	0.912961i	$-0.366210\pi$
$684$	−4.80600	−	1.41117i	−0.183762	−	0.0539574i
$685$	21.5731	+	9.88696i	0.824264	+	0.377761i
$686$	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
$690$	4.31076	−	9.81923i	0.164108	−	0.373812i
$691$	−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
$695$	8.59923	−	18.7633i	0.326187	−	0.711731i
$696$	−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
$700$	−0.0677650	+	25.3465i	−0.00256128	+	0.958008i
$701$	0.692239	−	4.81463i	0.0261455	−	0.181846i	−0.972564	−	0.232636i	$-0.925265\pi$
$701$	0.692239	−	4.81463i	0.0261455	−	0.181846i	0.998709	+	0.0507902i	$0.0161740\pi$
$702$	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
$705$	5.46034	+	6.31862i	0.205648	+	0.237973i
$706$	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	0.180385	−	0.983596i	$-0.442266\pi$
$709$	23.0033	−	6.75437i	0.863907	−	0.253666i	0.683522	+	0.729930i	$0.260447\pi$
$710$	3.89966	+	0.566008i	0.146352	+	0.0212419i
$711$	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
$715$	22.7013	−	10.3307i	0.848979	−	0.386345i
$716$	−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	−0.754574	−	0.656215i	$-0.772157\pi$
$719$	−46.7677	−	13.7322i	−1.74414	−	0.512125i	−0.989565	+	0.144089i	$0.953975\pi$
$720$	1.46657	−	1.68795i	0.0546559	−	0.0629061i
$721$	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
$725$	2.70573	+	5.96688i	0.100488	+	0.221604i
$726$	2.50110	+	1.60736i	0.0928244	+	0.0596546i
$727$	7.54334	−	6.53634i	0.279767	−	0.242419i	−0.503662	−	0.863901i	$-0.668014\pi$
$727$	7.54334	−	6.53634i	0.279767	−	0.242419i	0.783429	+	0.621481i	$0.213469\pi$
$728$	−18.1541	+	8.29070i	−0.672836	+	0.307274i
$729$	−0.841254	+	0.540641i	−0.0311575	+	0.0200237i
$730$	26.0166	+	0.0347782i	0.962917	+	0.00128720i
$731$	−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	$-0.486024\pi$
$733$	−18.4749	−	8.43719i	−0.682385	−	0.311635i	−0.726278	+	0.687401i	$0.758751\pi$
$734$	−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	−0.653169	−	0.757212i	$-0.726561\pi$
$739$	9.42837	−	20.6452i	0.346828	−	0.759448i	0.999998	−	0.00223589i	$-0.000711707\pi$
$740$	−5.89235	−	9.19568i	−0.216607	−	0.338040i
$741$	−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	$-0.103726\pi$
$743$	7.15860	+	11.1390i	0.262624	+	0.408650i	−0.684751	+	0.728777i	$0.740089\pi$
$744$	3.27387	+	7.16878i	0.120026	+	0.262820i
$745$	5.02742	+	3.24043i	0.184190	+	0.118720i
$746$	−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
$750$	−11.1802	−	0.0448365i	−0.408245	−	0.00163720i
$751$	21.7492	+	47.6242i	0.793640	+	1.73783i	0.665924	+	0.746019i	$0.268037\pi$
$751$	21.7492	+	47.6242i	0.793640	+	1.73783i	0.127716	+	0.991811i	$0.459235\pi$
$752$	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
$755$	−31.3780	+	20.1062i	−1.14196	+	0.731739i
$756$	2.10587	−	4.61121i	0.0765898	−	0.167708i
$757$	−22.1944	+	3.19107i	−0.806669	+	0.115981i	−0.533298	−	0.845927i	$-0.679048\pi$
$757$	−22.1944	+	3.19107i	−0.806669	+	0.115981i	−0.273371	+	0.961909i	$0.588139\pi$
$758$		−	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	0.904554	+	0.426360i	$0.140204\pi$
$761$	4.32443	+	30.0770i	0.156760	+	1.09029i	−0.747793	+	0.663932i	$0.768887\pi$
$762$	−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
$765$	−0.00271246	+	2.02912i	−9.80693e−5	+	0.0733629i
$766$	−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	0.635624	−	0.771999i	$-0.280743\pi$
$769$	5.47509	+	3.51863i	0.197437	+	0.126885i	−0.438187	+	0.898884i	$0.644379\pi$
$770$	−4.52796	−	31.7943i	−0.163176	−	1.14579i
$771$	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	$-0.742002\pi$
$773$	−1.94394	+	1.68443i	−0.0699186	+	0.0605848i	0.619200	+	0.785233i	$0.287457\pi$
$774$	3.91393	+	8.57031i	0.140683	+	0.308053i
$775$	16.4651	−	35.8000i	0.591445	−	1.28597i
$776$	−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
$780$	−3.64631	−	8.01263i	−0.130559	−	0.286898i
$781$	−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
$785$	21.8658	+	3.17367i	0.780424	+	0.113273i
$786$	3.31671	−	0.973875i	0.118303	−	0.0347370i
$787$	−20.2759	−	17.5692i	−0.722758	−	0.626273i	0.213763	−	0.976886i	$-0.431428\pi$
$787$	−20.2759	−	17.5692i	−0.722758	−	0.626273i	−0.936521	+	0.350612i	$0.885973\pi$
$788$	6.63555	−	22.5986i	0.236382	−	0.805042i
$789$	−4.02985	+	2.58983i	−0.143467	+	0.0922004i
$790$	7.18282	−	6.20716i	0.255553	−	0.220841i
$791$	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
$795$	−2.60637	−	0.769086i	−0.0924385	−	0.0272767i
$796$	3.43545	+	3.96472i	0.121766	+	0.140526i
$797$	11.7136	−	5.34943i	0.414917	−	0.189486i	−0.197008	−	0.980402i	$-0.563123\pi$
$797$	11.7136	−	5.34943i	0.414917	−	0.189486i	0.611925	+	0.790915i	$0.290395\pi$
$798$	13.7278	+	21.3608i	0.485958	+	0.756166i
$799$	−3.25178	−	0.954808i	−0.115040	−	0.0337787i
$800$	−4.94719	−	0.724803i	−0.174909	−	0.0256257i
$801$	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
$805$	−49.1120	+	23.3084i	−1.73097	+	0.821512i
$806$	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	−0.718041	−	0.696000i	$-0.754961\pi$
$809$	−26.9016	+	7.89902i	−0.945810	+	0.277715i	−0.227769	+	0.973715i	$0.573143\pi$
$810$	2.03276	+	0.931614i	0.0714237	+	0.0327336i
$811$	−42.1236	−	12.3686i	−1.47916	−	0.434320i	−0.560095	−	0.828428i	$-0.689235\pi$
$811$	−42.1236	−	12.3686i	−1.47916	−	0.434320i	−0.919064	+	0.394108i	$0.871054\pi$
$812$	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
$815$	−9.42901	+	31.9542i	−0.330284	+	1.11931i
$816$	−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
$820$	−8.62660	−	9.98255i	−0.301254	−	0.348606i
$821$	38.1959	−	24.5470i	1.33305	−	0.856696i	0.336659	−	0.941627i	$-0.390703\pi$
$821$	38.1959	−	24.5470i	1.33305	−	0.856696i	0.996387	+	0.0849303i	$0.0270668\pi$
$822$	−2.98995	+	10.1828i	−0.104286	+	0.355167i
$823$	−41.3060	−	35.7918i	−1.43984	−	1.24762i	−0.919168	−	0.393865i	$-0.871138\pi$
$823$	−41.3060	−	35.7918i	−1.43984	−	1.24762i	−0.520668	−	0.853759i	$-0.674317\pi$
$824$	−11.8997	+	3.49406i	−0.414545	+	0.121721i
$825$	14.0271	−	1.97853i	0.488360	−	0.0688835i
$826$	−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	$0.622122\pi$
$830$	−4.67791	−	10.2795i	−0.162373	−	0.356808i
$831$	−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
$835$	−14.3069	−	12.4305i	−0.495111	−	0.430177i
$836$	−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	−0.940104	−	0.340889i	$-0.889272\pi$
$839$	1.67880	−	11.6763i	0.0579587	−	0.403111i	0.998062	−	0.0622226i	$-0.0198189\pi$
$840$	−11.2221	+	1.59819i	−0.387200	+	0.0551427i
$841$	−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
$845$	−5.58917	−	0.00747143i	−0.192273	−	0.000257025i
$846$	−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	$-0.557587\pi$
$853$	−2.20326	+	0.316781i	−0.0754382	+	0.0108464i	0.104492	+	0.994526i	$0.466678\pi$
$854$	12.1143	−	26.5266i	0.414543	−	0.907722i
$855$	−9.43032	+	6.04270i	−0.322510	+	0.206656i
$856$	−7.97947	+	9.20880i	−0.272733	+	0.314750i
$857$	0.0384163	−	0.130834i	0.00131228	−	0.00446920i	−0.958834	−	0.283966i	$-0.908350\pi$
$857$	0.0384163	−	0.130834i	0.00131228	−	0.00446920i	0.960147	+	0.279497i	$0.0901678\pi$
$858$	6.03036	+	9.38343i	0.205873	+	0.320345i
$859$	−15.4361	−	33.8004i	−0.526673	−	1.15325i	−0.966851	−	0.255342i	$-0.917812\pi$
$859$	−15.4361	−	33.8004i	−0.526673	−	1.15325i	0.440178	−	0.897911i	$-0.354915\pi$
$860$	11.4137	−	17.7080i	0.389204	−	0.603837i
$861$	−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	$-0.530954\pi$
$863$	−13.8264	−	1.98793i	−0.470655	−	0.0676699i	−0.373562	+	0.927605i	$0.621864\pi$
$864$	0.841254	+	0.540641i	0.0286200	+	0.0183930i
$865$	25.8464	−	40.0998i	0.878804	−	1.36344i
$866$	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
$870$	−2.46699	+	1.58078i	−0.0836389	+	0.0535936i
$871$	−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	$-0.534678\pi$
$877$	−27.5767	−	12.5939i	−0.931200	−	0.425265i	−0.822471	+	0.568806i	$0.807405\pi$
$878$	8.29952	+	28.2656i	0.280095	+	0.953917i
$879$	10.8975	−	12.5764i	0.367563	−	0.424190i
$880$	6.33519	+	0.00846869i	0.213559	+	0.000285480i
$881$	−34.0417	+	21.8773i	−1.14689	+	0.737064i	−0.969018	−	0.246989i	$-0.920559\pi$
$881$	−34.0417	+	21.8773i	−1.14689	+	0.737064i	−0.177875	+	0.984053i	$0.556922\pi$
$882$	−17.0083	+	7.76743i	−0.572699	+	0.261543i
$883$	17.5951	−	15.2462i	0.592122	−	0.513076i	−0.306460	−	0.951884i	$-0.599144\pi$
$883$	17.5951	−	15.2462i	0.592122	−	0.513076i	0.898581	+	0.438807i	$0.144599\pi$
$884$	3.00545	+	1.93148i	0.101084	+	0.0649628i
$885$	28.6868	−	4.08541i	0.964298	−	0.137330i
$886$	−0.318035	+	2.21198i	−0.0106846	+	0.0743130i
$887$	24.2953	−	37.8042i	0.815755	−	1.26934i	−0.144301	−	0.989534i	$-0.546093\pi$
$887$	24.2953	−	37.8042i	0.815755	−	1.26934i	0.960057	−	0.279806i	$-0.0902702\pi$
$888$	3.69128	−	3.19851i	0.123871	−	0.107335i
$889$	26.0592	+	57.0617i	0.873997	+	1.91379i
$890$	−24.6677	−	21.4325i	−0.826864	−	0.718420i
$891$	−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
$895$	16.4244	+	36.0920i	0.549006	+	1.20642i
$896$	−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
$900$	−0.698340	−	4.95099i	−0.0232780	−	0.165033i
$901$	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
$905$	12.1186	+	14.0235i	0.402836	+	0.466155i
$906$	−10.9141	−	12.5956i	−0.362598	−	0.418461i
$907$	17.2795	−	26.8875i	0.573758	−	0.892784i	−0.426172	−	0.904642i	$-0.640138\pi$
$907$	17.2795	−	26.8875i	0.573758	−	0.892784i	0.999930	+	0.0118578i	$0.00377456\pi$
$908$	6.10750	+	0.878126i	0.202684	+	0.0291416i
$909$	1.42135	−	9.88571i	0.0471432	−	0.327888i
$910$	−12.6300	+	42.8021i	−0.418681	+	1.41888i
$911$	25.3467	+	29.2516i	0.839773	+	0.969150i	0.999839	−	0.0179564i	$-0.00571600\pi$
$911$	25.3467	+	29.2516i	0.839773	+	0.969150i	−0.160066	+	0.987106i	$0.551171\pi$
$912$	−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
$915$	11.6937	+	5.35923i	0.386581	+	0.177171i
$916$	−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	$0.618259\pi$
$920$	−3.17237	−	10.2438i	−0.104590	−	0.337729i
$921$	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
$925$	−24.1634	−	3.54013i	−0.794487	−	0.116399i
$926$	−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	0.917741	+	0.397178i	$0.130011\pi$
$929$	35.9740	+	41.5162i	1.18027	+	1.36210i	0.262528	+	0.964924i	$0.415444\pi$
$930$	16.9019	+	4.98739i	0.554235	+	0.163543i
$931$	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
$935$	−4.34973	+	3.75890i	−0.142252	+	0.122929i
$936$	3.31197	−	2.12847i	0.108255	−	0.0695714i
$937$	−5.05478	+	17.2150i	−0.165132	+	0.562389i	0.834798	+	0.550557i	$0.185585\pi$
$937$	−5.05478	+	17.2150i	−0.165132	+	0.562389i	−0.999930	+	0.0118322i	$0.996234\pi$
$938$	37.3181	+	32.3363i	1.21848	+	1.05582i
$939$	−21.8907	+	6.42769i	−0.714377	+	0.209760i
$940$	8.26446	+	1.19953i	0.269557	+	0.0391243i
$941$	−2.44460	−	17.0026i	−0.0796918	−	0.554268i	−0.990079	−	0.140511i	$-0.955125\pi$
$941$	−2.44460	−	17.0026i	−0.0796918	−	0.554268i	0.910387	−	0.413757i	$-0.135784\pi$
$942$			9.88116i			0.321945i
$943$	11.3402	−	25.9253i	0.369288	−	0.844243i
$944$	12.9586			0.421766
$945$	−4.69508	−	10.3173i	−0.152731	−	0.335621i
$946$	−11.0889	+	24.2813i	−0.360531	+	0.789452i
$947$	−4.56962	−	15.5627i	−0.148493	−	0.505720i	0.851328	−	0.524633i	$-0.175798\pi$
$947$	−4.56962	−	15.5627i	−0.148493	−	0.505720i	−0.999821	+	0.0189132i	$0.993979\pi$
$948$	3.20854	+	2.78022i	0.104209	+	0.0902972i
$949$	43.9508	+	12.9051i	1.42670	+	0.418918i
$950$	22.7534	+	10.4647i	0.738216	+	0.339520i
$951$	−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	$-0.922383\pi$
$953$	−10.7331	+	16.7010i	−0.347678	+	0.540998i	0.622740	+	0.782429i	$0.286020\pi$
$954$	0.172954	−	1.20292i	0.00559960	−	0.0389460i
$955$	−6.66065	−	46.7696i	−0.215534	−	1.51343i
$956$	−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
$960$	0.00298911	−	2.23607i	9.64730e−5	−	0.0721687i
$961$	−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
$970$	−30.4369	+	19.5031i	−0.977269	+	0.626208i
$971$	31.1286	−	35.9243i	0.998965	−	1.15287i	0.0107269	−	0.999942i	$-0.496585\pi$
$971$	31.1286	−	35.9243i	0.998965	−	1.15287i	0.988238	−	0.152924i	$-0.0488691\pi$
$972$	−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
$975$	−18.8725	−	5.59631i	−0.604403	−	0.179225i
$976$	4.83942	+	3.11011i	0.154906	+	0.0995521i
$977$	37.6759	+	5.41698i	1.20536	+	0.173304i	0.715573	−	0.698538i	$-0.246166\pi$
$977$	37.6759	+	5.41698i	1.20536	+	0.173304i	0.489786	+	0.871843i	$0.337075\pi$
$978$	−14.7478	−	2.12042i	−0.471584	−	0.0678036i
$979$	34.8315	+	22.3848i	1.11322	+	0.715423i
$980$	35.1426	+	22.6512i	1.12259	+	0.723566i
$981$	−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	−0.722394	−	0.691482i	$-0.756958\pi$
$983$	8.12558	−	27.6732i	0.259166	−	0.882637i	0.981560	−	0.191156i	$-0.0612236\pi$
$984$	3.86390	−	4.45917i	0.123176	−	0.142153i
$985$	−28.4138	−	44.3429i	−0.905338	−	1.41288i
$986$	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	0.955774	+	0.294101i	$0.0950202\pi$
$991$	3.82715	+	26.6184i	0.121573	+	0.845562i	−0.834201	+	0.551461i	$0.814071\pi$
$992$	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
$995$	11.7306	+	0.0156811i	0.371884	+	0.000497124i
$996$	4.24899	−	2.73066i	0.134634	−	0.0865242i
$997$	9.99050	−	4.56251i	0.316402	−	0.144496i	−0.250883	−	0.968017i	$-0.580721\pi$
$997$	9.99050	−	4.56251i	0.316402	−	0.144496i	0.567285	+	0.823521i	$0.307994\pi$
$998$	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.49.9	yes	120
5.4	even	2	inner	690.2.r.a.49.5	✓	120
23.8	even	11	inner	690.2.r.a.169.5	yes	120
115.54	even	22	inner	690.2.r.a.169.9	yes	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
690.2.r.a.49.5	✓	120	5.4	even	2	inner
690.2.r.a.49.9	yes	120	1.1	even	1	trivial
690.2.r.a.169.5	yes	120	23.8	even	11	inner
690.2.r.a.169.9	yes	120	115.54	even	22	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)

\(f(q)\)	\(=\)	\(q+(0.989821 - 0.142315i) q^{2} +(0.909632 + 0.415415i) q^{3} +(0.959493 - 0.281733i) q^{4} +(0.931614 - 2.03276i) q^{5} +(0.959493 + 0.281733i) q^{6} +(-2.74068 - 4.26458i) q^{7} +(0.909632 - 0.415415i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\)	\(q+(0.989821 - 0.142315i) q^{2} +(0.909632 + 0.415415i) q^{3} +(0.959493 - 0.281733i) q^{4} +(0.931614 - 2.03276i) 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} +(0.632841 - 2.14465i) 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} +(1.69186 - 1.46205i) 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} +(0.321184 - 2.21288i) q^{20} +(-0.721439 - 5.01772i) q^{21} +2.83319i q^{22} +(4.57928 - 1.42485i) q^{23} +1.00000 q^{24} +(-3.26419 - 3.78749i) 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} +(1.46657 - 1.68795i) 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} +(-11.2221 + 1.59819i) 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} +(0.00298911 - 2.23607i) 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} +(-3.76998 - 3.28439i) 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} +(5.32492 + 3.43219i) 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} +(1.21142 - 1.87948i) 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} +(-4.74951 - 7.41215i) 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} +(-1.39583 - 4.80121i) 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} +(-0.315267 - 2.21373i) 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} +(1.53173 + 1.33084i) 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} +(2.03524 - 0.926176i) q^{90} -19.9576 q^{91} +(3.99236 - 2.65727i) q^{92} +7.88096i q^{93} +(0.531504 + 3.69669i) q^{94} +(-1.60878 + 11.0841i) 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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