LMFDB - Embedded newform 605.2.k.b.56.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [605,2,Mod(56,605)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(605, base_ring=CyclotomicField(22))

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

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

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

chi := DirichletCharacter("605.56");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 605 = 5 \cdot 11^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	605.k (of order $11$, 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:	$4.83094932229$
Analytic rank:	$0$
Dimension:	$220$
Relative dimension:	$22$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			56.2
Character	$\chi$	$=$	605.56
Dual form			605.2.k.b.551.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.31434 - 0.679550i) q^{2} -0.0870913 q^{3} +(3.21185 + 2.06413i) q^{4} +(0.654861 - 0.755750i) q^{5} +(0.201559 + 0.0591829i) q^{6} +(-1.78239 + 3.90290i) q^{7} +(-2.87152 - 3.31392i) q^{8} -2.99242 q^{9} +O(q^{10})$	\(q+(-2.31434 - 0.679550i) q^{2} -0.0870913 q^{3} +(3.21185 + 2.06413i) q^{4} +(0.654861 - 0.755750i) q^{5} +(0.201559 + 0.0591829i) q^{6} +(-1.78239 + 3.90290i) q^{7} +(-2.87152 - 3.31392i) q^{8} -2.99242 q^{9} +(-2.02914 + 1.30405i) q^{10} +(2.46084 + 2.22357i) q^{11} +(-0.279725 - 0.179768i) q^{12} +(-5.37793 - 3.45618i) q^{13} +(6.77727 - 7.82139i) q^{14} +(-0.0570327 + 0.0658192i) q^{15} +(1.22164 + 2.67502i) q^{16} +(-0.715382 - 4.97559i) q^{17} +(6.92545 + 2.03350i) q^{18} +(0.380279 - 2.64490i) q^{19} +(3.66328 - 1.07564i) q^{20} +(0.155231 - 0.339909i) q^{21} +(-4.18417 - 6.81836i) q^{22} +(2.30315 + 5.04320i) q^{23} +(0.250085 + 0.288613i) q^{24} +(-0.142315 - 0.989821i) q^{25} +(10.0977 + 11.6533i) q^{26} +0.521887 q^{27} +(-13.7809 + 8.85644i) q^{28} +(0.997222 - 6.93583i) q^{29} +(0.176720 - 0.113571i) q^{30} +(5.73955 - 3.68858i) q^{31} +(0.238607 + 1.65955i) q^{32} +(-0.214318 - 0.193654i) q^{33} +(-1.72553 + 12.0013i) q^{34} +(1.78239 + 3.90290i) q^{35} +(-9.61120 - 6.17674i) q^{36} +(7.95951 - 5.11527i) q^{37} +(-2.67744 + 5.86277i) q^{38} +(0.468371 + 0.301004i) q^{39} -4.38494 q^{40} +(6.20997 + 1.82341i) q^{41} +(-0.590242 + 0.681175i) q^{42} +(-3.34941 - 3.86542i) q^{43} +(3.31409 + 12.2213i) q^{44} +(-1.95962 + 2.26152i) q^{45} +(-1.90316 - 13.2368i) q^{46} +(-1.39621 + 0.409964i) q^{47} +(-0.106394 - 0.232971i) q^{48} +(-7.47165 - 8.62275i) q^{49} +(-0.343269 + 2.38749i) q^{50} +(0.0623036 + 0.433331i) q^{51} +(-10.1391 - 22.2015i) q^{52} +(4.90125 - 10.7322i) q^{53} +(-1.20782 - 0.354649i) q^{54} +(3.29197 - 0.403644i) q^{55} +(18.0521 - 5.30056i) q^{56} +(-0.0331190 + 0.230348i) q^{57} +(-7.02115 + 15.3742i) q^{58} +(1.36931 - 0.402067i) q^{59} +(-0.319040 + 0.0936787i) q^{60} +(-0.268672 + 0.0788891i) q^{61} +(-15.7898 + 4.63631i) q^{62} +(5.33366 - 11.6791i) q^{63} +(1.41256 - 9.82458i) q^{64} +(-6.13380 + 1.80105i) q^{65} +(0.364405 + 0.593820i) q^{66} +(-11.3369 - 3.32882i) q^{67} +(7.97258 - 17.4575i) q^{68} +(-0.200585 - 0.439219i) q^{69} +(-1.47284 - 10.2438i) q^{70} +(0.509615 - 3.54445i) q^{71} +(8.59279 + 9.91661i) q^{72} +(-1.17073 - 2.56355i) q^{73} +(-21.8971 + 6.42956i) q^{74} +(0.0123944 + 0.0862049i) q^{75} +(6.68083 - 7.71008i) q^{76} +(-13.0646 + 5.64111i) q^{77} +(-0.879420 - 1.01490i) q^{78} +(-6.53071 + 7.53684i) q^{79} +(2.82165 + 0.828511i) q^{80} +8.93179 q^{81} +(-13.1328 - 8.43997i) q^{82} +(-0.847114 + 1.85492i) q^{83} +(1.20020 - 0.771319i) q^{84} +(-4.22878 - 2.71767i) q^{85} +(5.12491 + 11.2220i) q^{86} +(-0.0868494 + 0.604051i) q^{87} +(0.302388 - 14.5401i) q^{88} +(-0.361314 - 2.51300i) q^{89} +(6.07202 - 3.90225i) q^{90} +(23.0747 - 14.8292i) q^{91} +(-3.01245 + 20.9521i) q^{92} +(-0.499865 + 0.321244i) q^{93} +3.50989 q^{94} +(-1.74985 - 2.01944i) q^{95} +(-0.0207806 - 0.144533i) q^{96} +(-0.0442835 - 0.0511059i) q^{97} +(11.4323 + 25.0333i) q^{98} +(-7.36384 - 6.65386i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 220 q - 2 q^{2} - 24 q^{4} + 22 q^{5} + 8 q^{6} + 4 q^{7} - 6 q^{8} + 212 q^{9}+O(q^{10}) $ 220 * q - 2 * q^2 - 24 * q^4 + 22 * q^5 + 8 * q^6 + 4 * q^7 - 6 * q^8 + 212 * q^9	\( 220 q - 2 q^{2} - 24 q^{4} + 22 q^{5} + 8 q^{6} + 4 q^{7} - 6 q^{8} + 212 q^{9} + 2 q^{10} - 2 q^{11} + 49 q^{12} + 8 q^{13} - 40 q^{14} + 11 q^{15} - 28 q^{16} - 8 q^{17} - 10 q^{18} + 24 q^{20} - 22 q^{21} - 79 q^{22} - 31 q^{23} - 36 q^{24} - 22 q^{25} - 6 q^{26} - 6 q^{27} + 4 q^{28} - 4 q^{29} - 19 q^{30} + 20 q^{31} - 104 q^{32} - 12 q^{34} - 4 q^{35} - 30 q^{36} - 93 q^{37} + 8 q^{38} + 16 q^{39} + 6 q^{40} - 12 q^{41} - 8 q^{42} - 43 q^{43} + 9 q^{44} + 30 q^{45} - 124 q^{46} - 42 q^{47} - 158 q^{48} - 38 q^{49} - 2 q^{50} + 27 q^{51} + 146 q^{52} + 74 q^{53} + 93 q^{54} + 2 q^{55} + 25 q^{56} - 55 q^{57} + 26 q^{58} + 10 q^{59} - 16 q^{60} - 4 q^{61} - 33 q^{62} + 20 q^{63} + 32 q^{64} - 8 q^{65} - 69 q^{66} - 47 q^{67} - 24 q^{68} - 82 q^{69} - 15 q^{70} + 2 q^{71} - 294 q^{72} + 30 q^{73} - 112 q^{74} + 132 q^{76} + 136 q^{77} - 115 q^{78} + 58 q^{79} + 28 q^{80} + 220 q^{81} + 32 q^{82} - 164 q^{83} - 32 q^{84} + 41 q^{85} - 34 q^{86} - 76 q^{87} + 115 q^{88} - 44 q^{89} + 54 q^{90} - 60 q^{91} + 140 q^{92} - 68 q^{93} - 74 q^{94} - 44 q^{95} + 140 q^{96} - 39 q^{97} + 182 q^{98} - 274 q^{99}+O(q^{100}) \) 220 * q - 2 * q^2 - 24 * q^4 + 22 * q^5 + 8 * q^6 + 4 * q^7 - 6 * q^8 + 212 * q^9 + 2 * q^10 - 2 * q^11 + 49 * q^12 + 8 * q^13 - 40 * q^14 + 11 * q^15 - 28 * q^16 - 8 * q^17 - 10 * q^18 + 24 * q^20 - 22 * q^21 - 79 * q^22 - 31 * q^23 - 36 * q^24 - 22 * q^25 - 6 * q^26 - 6 * q^27 + 4 * q^28 - 4 * q^29 - 19 * q^30 + 20 * q^31 - 104 * q^32 - 12 * q^34 - 4 * q^35 - 30 * q^36 - 93 * q^37 + 8 * q^38 + 16 * q^39 + 6 * q^40 - 12 * q^41 - 8 * q^42 - 43 * q^43 + 9 * q^44 + 30 * q^45 - 124 * q^46 - 42 * q^47 - 158 * q^48 - 38 * q^49 - 2 * q^50 + 27 * q^51 + 146 * q^52 + 74 * q^53 + 93 * q^54 + 2 * q^55 + 25 * q^56 - 55 * q^57 + 26 * q^58 + 10 * q^59 - 16 * q^60 - 4 * q^61 - 33 * q^62 + 20 * q^63 + 32 * q^64 - 8 * q^65 - 69 * q^66 - 47 * q^67 - 24 * q^68 - 82 * q^69 - 15 * q^70 + 2 * q^71 - 294 * q^72 + 30 * q^73 - 112 * q^74 + 132 * q^76 + 136 * q^77 - 115 * q^78 + 58 * q^79 + 28 * q^80 + 220 * q^81 + 32 * q^82 - 164 * q^83 - 32 * q^84 + 41 * q^85 - 34 * q^86 - 76 * q^87 + 115 * q^88 - 44 * q^89 + 54 * q^90 - 60 * q^91 + 140 * q^92 - 68 * q^93 - 74 * q^94 - 44 * q^95 + 140 * q^96 - 39 * q^97 + 182 * q^98 - 274 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/605\mathbb{Z}\right)^\times$.

$n$	$122$	$486$
$\chi(n)$	$1$	$e\left(\frac{1}{11}\right)$

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 $

$2$	−2.31434	−	0.679550i	−1.63648	−	0.480515i	−0.671103	−	0.741364i	$-0.734179\pi$
$2$	−2.31434	−	0.679550i	−1.63648	−	0.480515i	−0.965379	+	0.260850i	$0.915997\pi$
$3$	−0.0870913			−0.0502822			−0.0251411	−	0.999684i	$-0.508004\pi$
$3$	−0.0870913			−0.0502822			−0.0251411	+	0.999684i	$0.508004\pi$
$4$	3.21185	+	2.06413i	1.60593	+	1.03207i
$5$	0.654861	−	0.755750i	0.292863	−	0.337981i
$5$	0.654861	−	0.755750i	0.292863	−	0.337981i
$6$	0.201559	+	0.0591829i	0.0822860	+	0.0241613i
$7$	−1.78239	+	3.90290i	−0.673681	+	1.47516i	0.195521	+	0.980700i	$0.437360\pi$
$7$	−1.78239	+	3.90290i	−0.673681	+	1.47516i	−0.869202	+	0.494457i	$0.835367\pi$
$8$	−2.87152	−	3.31392i	−1.01524	−	1.17165i
$9$	−2.99242			−0.997472
$10$	−2.02914	+	1.30405i	−0.641670	+	0.412376i
$11$	2.46084	+	2.22357i	0.741970	+	0.670433i
$11$	2.46084	+	2.22357i	0.741970	+	0.670433i
$12$	−0.279725	−	0.179768i	−0.0807495	−	0.0518946i
$13$	−5.37793	−	3.45618i	−1.49157	−	0.958573i	−0.995938	−	0.0900389i	$-0.971301\pi$
$13$	−5.37793	−	3.45618i	−1.49157	−	0.958573i	−0.495630	−	0.868534i	$-0.665063\pi$
$14$	6.77727	−	7.82139i	1.81130	−	2.09035i
$15$	−0.0570327	+	0.0658192i	−0.0147258	+	0.0169945i
$16$	1.22164	+	2.67502i	0.305410	+	0.668755i
$17$	−0.715382	−	4.97559i	−0.173506	−	1.20676i	−0.871406	−	0.490563i	$-0.836791\pi$
$17$	−0.715382	−	4.97559i	−0.173506	−	1.20676i	0.697900	−	0.716195i	$-0.254118\pi$
$18$	6.92545	+	2.03350i	1.63234	+	0.479300i
$19$	0.380279	−	2.64490i	0.0872420	−	0.606782i	−0.898558	−	0.438856i	$-0.855384\pi$
$19$	0.380279	−	2.64490i	0.0872420	−	0.606782i	0.985800	−	0.167926i	$-0.0537070\pi$
$20$	3.66328	−	1.07564i	0.819135	−	0.240520i
$21$	0.155231	−	0.339909i	0.0338742	−	0.0741741i
$22$	−4.18417	−	6.81836i	−0.892068	−	1.45368i
$23$	2.30315	+	5.04320i	0.480241	+	1.05158i	0.982397	+	0.186804i	$0.0598129\pi$
$23$	2.30315	+	5.04320i	0.480241	+	1.05158i	−0.502156	+	0.864777i	$0.667460\pi$
$24$	0.250085	+	0.288613i	0.0510484	+	0.0589130i
$25$	−0.142315	−	0.989821i	−0.0284630	−	0.197964i
$26$	10.0977	+	11.6533i	1.98032	+	2.28541i
$27$	0.521887			0.100437
$28$	−13.7809	+	8.85644i	−2.60434	+	1.67371i
$29$	0.997222	−	6.93583i	0.185179	−	1.28795i	−0.659103	−	0.752053i	$-0.729064\pi$
$29$	0.997222	−	6.93583i	0.185179	−	1.28795i	0.844282	−	0.535898i	$-0.180027\pi$
$30$	0.176720	−	0.113571i	0.0322646	−	0.0207352i
$31$	5.73955	−	3.68858i	1.03085	−	0.662489i	0.0881451	−	0.996108i	$-0.471906\pi$
$31$	5.73955	−	3.68858i	1.03085	−	0.662489i	0.942708	+	0.333618i	$0.108270\pi$
$32$	0.238607	+	1.65955i	0.0421802	+	0.293370i
$33$	−0.214318	−	0.193654i	−0.0373079	−	0.0337109i
$34$	−1.72553	+	12.0013i	−0.295926	+	2.05821i
$35$	1.78239	+	3.90290i	0.301279	+	0.659710i
$36$	−9.61120	−	6.17674i	−1.60187	−	1.02946i
$37$	7.95951	−	5.11527i	1.30854	−	0.840945i	0.314421	−	0.949284i	$-0.398190\pi$
$37$	7.95951	−	5.11527i	1.30854	−	0.840945i	0.994114	+	0.108339i	$0.0345532\pi$
$38$	−2.67744	+	5.86277i	−0.434337	+	0.951066i
$39$	0.468371	+	0.301004i	0.0749993	+	0.0481992i
$40$	−4.38494			−0.693320
$41$	6.20997	+	1.82341i	0.969834	+	0.284769i	0.728022	−	0.685554i	$-0.240440\pi$
$41$	6.20997	+	1.82341i	0.969834	+	0.284769i	0.241812	+	0.970323i	$0.422258\pi$
$42$	−0.590242	+	0.681175i	−0.0910763	+	0.105108i
$43$	−3.34941	−	3.86542i	−0.510780	−	0.589471i	0.440518	−	0.897744i	$-0.354795\pi$
$43$	−3.34941	−	3.86542i	−0.510780	−	0.589471i	−0.951298	+	0.308272i	$0.900249\pi$
$44$	3.31409	+	12.2213i	0.499618	+	1.84243i
$45$	−1.95962	+	2.26152i	−0.292122	+	0.337127i
$46$	−1.90316	−	13.2368i	−0.280606	−	1.95166i
$47$	−1.39621	+	0.409964i	−0.203658	+	0.0597994i	−0.381971	−	0.924174i	$-0.624754\pi$
$47$	−1.39621	+	0.409964i	−0.203658	+	0.0597994i	0.178312	+	0.983974i	$0.442936\pi$
$48$	−0.106394	−	0.232971i	−0.0153567	−	0.0336265i
$49$	−7.47165	−	8.62275i	−1.06738	−	1.23182i
$50$	−0.343269	+	2.38749i	−0.0485456	+	0.337642i
$51$	0.0623036	+	0.433331i	0.00872425	+	0.0606785i
$52$	−10.1391	−	22.2015i	−1.40604	−	3.07879i
$53$	4.90125	−	10.7322i	0.673239	−	1.47419i	−0.196413	−	0.980521i	$-0.562929\pi$
$53$	4.90125	−	10.7322i	0.673239	−	1.47419i	0.869652	−	0.493666i	$-0.164343\pi$
$54$	−1.20782	−	0.354649i	−0.164364	−	0.0482616i
$55$	3.29197	−	0.403644i	0.443889	−	0.0544274i
$56$	18.0521	−	5.30056i	2.41231	−	0.708317i
$57$	−0.0331190	+	0.230348i	−0.00438672	+	0.0305103i
$58$	−7.02115	+	15.3742i	−0.921922	+	2.01873i
$59$	1.36931	−	0.402067i	0.178270	−	0.0523447i	−0.191379	−	0.981516i	$-0.561296\pi$
$59$	1.36931	−	0.402067i	0.178270	−	0.0523447i	0.369649	+	0.929171i	$0.379478\pi$
$60$	−0.319040	+	0.0936787i	−0.0411879	+	0.0120939i
$61$	−0.268672	+	0.0788891i	−0.0343999	+	0.0101007i	−0.298887	−	0.954288i	$-0.596615\pi$
$61$	−0.268672	+	0.0788891i	−0.0343999	+	0.0101007i	0.264487	+	0.964389i	$0.414797\pi$
$62$	−15.7898	+	4.63631i	−2.00531	+	0.588812i
$63$	5.33366	−	11.6791i	0.671978	−	1.47143i
$64$	1.41256	−	9.82458i	0.176570	−	1.22807i
$65$	−6.13380	+	1.80105i	−0.760804	+	0.223392i
$66$	0.364405	+	0.593820i	0.0448552	+	0.0730942i
$67$	−11.3369	−	3.32882i	−1.38502	−	0.406680i	−0.497509	−	0.867459i	$-0.665752\pi$
$67$	−11.3369	−	3.32882i	−1.38502	−	0.406680i	−0.887515	+	0.460779i	$0.847570\pi$
$68$	7.97258	−	17.4575i	0.966817	−	2.11703i
$69$	−0.200585	−	0.439219i	−0.0241476	−	0.0528758i
$70$	−1.47284	−	10.2438i	−0.176038	−	1.22437i
$71$	0.509615	−	3.54445i	0.0604801	−	0.420649i	−0.936978	−	0.349389i	$-0.886389\pi$
$71$	0.509615	−	3.54445i	0.0604801	−	0.420649i	0.997458	−	0.0712593i	$-0.0227018\pi$
$72$	8.59279	+	9.91661i	1.01267	+	1.16868i
$73$	−1.17073	−	2.56355i	−0.137024	−	0.300040i	0.828664	−	0.559747i	$-0.189102\pi$
$73$	−1.17073	−	2.56355i	−0.137024	−	0.300040i	−0.965688	+	0.259706i	$0.916374\pi$
$74$	−21.8971	+	6.42956i	−2.54548	+	0.747421i
$75$	0.0123944	+	0.0862049i	0.00143118	+	0.00995408i
$76$	6.68083	−	7.71008i	0.766343	−	0.884407i
$77$	−13.0646	+	5.64111i	−1.48885	+	0.642864i
$78$	−0.879420	−	1.01490i	−0.0995747	−	0.114915i
$79$	−6.53071	+	7.53684i	−0.734762	+	0.847961i	−0.992999	−	0.118121i	$-0.962313\pi$
$79$	−6.53071	+	7.53684i	−0.734762	+	0.847961i	0.258237	+	0.966082i	$0.416858\pi$
$80$	2.82165	+	0.828511i	0.315470	+	0.0926304i
$81$	8.93179			0.992421
$82$	−13.1328	−	8.43997i	−1.45028	−	0.932038i
$83$	−0.847114	+	1.85492i	−0.0929829	+	0.203604i	−0.950409	−	0.311003i	$-0.899335\pi$
$83$	−0.847114	+	1.85492i	−0.0929829	+	0.203604i	0.857426	+	0.514607i	$0.172062\pi$
$84$	1.20020	−	0.771319i	0.130952	−	0.0841578i
$85$	−4.22878	−	2.71767i	−0.458675	−	0.294773i
$86$	5.12491	+	11.2220i	0.552633	+	1.21010i
$87$	−0.0868494	+	0.604051i	−0.00931123	+	0.0647610i
$88$	0.302388	−	14.5401i	0.0322347	−	1.54997i
$89$	−0.361314	−	2.51300i	−0.0382992	−	0.266377i	0.961670	−	0.274209i	$-0.0884160\pi$
$89$	−0.361314	−	2.51300i	−0.0382992	−	0.266377i	−0.999969	+	0.00783207i	$0.997507\pi$
$90$	6.07202	−	3.90225i	0.640047	−	0.411333i
$91$	23.0747	−	14.8292i	2.41889	−	1.55452i
$92$	−3.01245	+	20.9521i	−0.314070	+	2.18440i
$93$	−0.499865	+	0.321244i	−0.0518336	+	0.0333114i
$94$	3.50989			0.362018
$95$	−1.74985	−	2.01944i	−0.179531	−	0.207190i
$96$	−0.0207806	−	0.144533i	−0.00212091	−	0.0147513i
$97$	−0.0442835	−	0.0511059i	−0.00449631	−	0.00518902i	0.753497	−	0.657451i	$-0.228365\pi$
$97$	−0.0442835	−	0.0511059i	−0.00449631	−	0.00518902i	−0.757993	+	0.652262i	$0.773820\pi$
$98$	11.4323	+	25.0333i	1.15484	+	2.52875i
$99$	−7.36384	−	6.65386i	−0.740094	−	0.668738i
$100$	1.58603	−	3.47292i	0.158603	−	0.347292i
$101$	−12.4677	+	3.66084i	−1.24058	+	0.364267i	−0.835233	−	0.549895i	$-0.814668\pi$
$101$	−12.4677	+	3.66084i	−1.24058	+	0.364267i	−0.405347	+	0.914163i	$0.632849\pi$
$102$	0.150279	−	1.04521i	0.0148798	−	0.103491i
$103$	−2.23177	−	0.655306i	−0.219902	−	0.0645692i	0.169925	−	0.985457i	$-0.445647\pi$
$103$	−2.23177	−	0.655306i	−0.219902	−	0.0645692i	−0.389828	+	0.920888i	$0.627465\pi$
$104$	3.98934	+	27.7465i	0.391187	+	2.72077i
$105$	−0.155231	−	0.339909i	−0.0151490	−	0.0331717i
$106$	−18.6362	+	21.5074i	−1.81011	+	2.08898i
$107$	3.40339	−	3.92772i	0.329018	−	0.379707i	−0.567005	−	0.823714i	$-0.691898\pi$
$107$	3.40339	−	3.92772i	0.329018	−	0.379707i	0.896023	+	0.444007i	$0.146443\pi$
$108$	1.67623	+	1.07725i	0.161295	+	0.103658i
$109$	−10.9046	−	7.00797i	−1.04447	−	0.671242i	−0.0983837	−	0.995149i	$-0.531367\pi$
$109$	−10.9046	−	7.00797i	−1.04447	−	0.671242i	−0.946089	+	0.323907i	$0.895004\pi$
$110$	−7.89302	−	1.30289i	−0.752570	−	0.124226i
$111$	−0.693204	+	0.445495i	−0.0657960	+	0.0422846i
$112$	−12.6178			−1.19227
$113$	4.68857	+	5.41090i	0.441064	+	0.509015i	0.932138	−	0.362103i	$-0.117941\pi$
$113$	4.68857	+	5.41090i	0.441064	+	0.509015i	−0.491074	+	0.871118i	$0.663396\pi$
$114$	0.233181	−	0.510596i	0.0218394	−	0.0478217i
$115$	5.31964	+	1.56199i	0.496059	+	0.145656i
$116$	17.5194	−	20.2185i	1.62664	−	1.87724i
$117$	16.0930	+	10.3423i	1.48780	+	0.956149i
$118$	−3.44228			−0.316887
$119$	20.6943	+	6.07640i	1.89704	+	0.557022i
$120$	0.381890			0.0348616
$121$	1.11143	+	10.9437i	0.101039	+	0.994882i
$122$	0.675405			0.0611483
$123$	−0.540834	−	0.158803i	−0.0487654	−	0.0143188i
$124$	26.0483			2.33921
$125$	−0.841254	−	0.540641i	−0.0752440	−	0.0483564i
$126$	−20.2804	+	23.4048i	−1.80672	+	2.08507i
$127$	8.26545	+	2.42695i	0.733440	+	0.215357i	0.627063	−	0.778968i	$-0.284257\pi$
$127$	8.26545	+	2.42695i	0.733440	+	0.215357i	0.106377	+	0.994326i	$0.466075\pi$
$128$	−8.55246	+	18.7273i	−0.755937	+	1.65527i
$129$	0.291704	+	0.336645i	0.0256831	+	0.0296399i
$130$	15.4196			1.35239
$131$	13.1457	−	8.44822i	1.14854	−	0.738125i	0.179196	−	0.983813i	$-0.442650\pi$
$131$	13.1457	−	8.44822i	1.14854	−	0.738125i	0.969349	+	0.245689i	$0.0790141\pi$
$132$	−0.288629	−	1.06437i	−0.0251219	−	0.0926414i
$133$	9.64496	+	6.19844i	0.836324	+	0.537473i
$134$	23.9753	+	15.4080i	2.07115	+	1.33105i
$135$	0.341764	−	0.394416i	0.0294143	−	0.0339459i
$136$	−14.4344	+	16.6582i	−1.23774	+	1.42843i
$137$	0.205257	+	0.449451i	0.0175363	+	0.0383992i	0.918198	−	0.396123i	$-0.129645\pi$
$137$	0.205257	+	0.449451i	0.0175363	+	0.0383992i	−0.900661	+	0.434522i	$0.856917\pi$
$138$	0.165749	+	1.15281i	0.0141095	+	0.0981336i
$139$	−9.92505	−	2.91426i	−0.841831	−	0.247184i	−0.167739	−	0.985831i	$-0.553647\pi$
$139$	−9.92505	−	2.91426i	−0.841831	−	0.247184i	−0.674092	+	0.738647i	$0.735465\pi$
$140$	−2.33131	+	16.2146i	−0.197032	+	1.37039i
$141$	0.121598	−	0.0357043i	0.0102404	−	0.00300685i
$142$	−3.58805	+	7.85673i	−0.301102	+	0.659322i
$143$	−5.54911	−	20.4633i	−0.464040	−	1.71123i
$144$	−3.65566	−	8.00477i	−0.304638	−	0.667064i
$145$	−4.58871	−	5.29565i	−0.381071	−	0.439780i
$146$	0.967409	+	6.72848i	0.0800634	+	0.556853i
$147$	0.650716	+	0.750967i	0.0536702	+	0.0619387i
$148$	36.1234			2.96932
$149$	−8.40550	+	5.40189i	−0.688605	+	0.442540i	−0.837590	−	0.546300i	$-0.816036\pi$
$149$	−8.40550	+	5.40189i	−0.688605	+	0.442540i	0.148984	+	0.988840i	$0.452400\pi$
$150$	0.0298958	−	0.207930i	0.00244098	−	0.0169774i
$151$	−2.00624	+	1.28933i	−0.163266	+	0.104925i	−0.619722	−	0.784821i	$-0.712755\pi$
$151$	−2.00624	+	1.28933i	−0.163266	+	0.104925i	0.456456	+	0.889746i	$0.349118\pi$
$152$	−9.85695	+	6.33468i	−0.799505	+	0.513810i
$153$	2.14072	+	14.8890i	0.173067	+	1.20371i
$154$	34.0692	−	4.17739i	2.74537	−	0.336623i
$155$	0.970959	−	6.75317i	0.0779893	−	0.542428i
$156$	0.883027	+	1.93356i	0.0706987	+	0.154809i
$157$	−12.4200	−	7.98186i	−0.991226	−	0.637022i	−0.0587567	−	0.998272i	$-0.518714\pi$
$157$	−12.4200	−	7.98186i	−0.991226	−	0.637022i	−0.932469	+	0.361250i	$0.882350\pi$
$158$	20.2359	−	13.0048i	1.60988	−	1.03461i
$159$	−0.426857	+	0.934686i	−0.0338519	+	0.0741254i
$160$	1.41046	+	0.906447i	0.111507	+	0.0716609i
$161$	−23.7882			−1.87478
$162$	−20.6712	−	6.06960i	−1.62408	−	0.476873i
$163$	−6.13913	+	7.08494i	−0.480854	+	0.554935i	−0.943399	−	0.331661i	$-0.892391\pi$
$163$	−6.13913	+	7.08494i	−0.480854	+	0.554935i	0.462545	+	0.886596i	$0.346937\pi$
$164$	16.1817	+	18.6747i	1.26358	+	1.45825i
$165$	−0.286702	+	0.0351539i	−0.0223197	+	0.00273673i
$166$	3.22102	−	3.71725i	0.250000	−	0.288515i
$167$	1.09517	+	7.61709i	0.0847470	+	0.589428i	0.987302	+	0.158854i	$0.0507798\pi$
$167$	1.09517	+	7.61709i	0.0847470	+	0.589428i	−0.902555	+	0.430574i	$0.858311\pi$
$168$	−1.57218	+	0.461633i	−0.121296	+	0.0356158i
$169$	11.5765	+	25.3490i	0.890499	+	1.94992i
$170$	7.94001	+	9.16326i	0.608971	+	0.702790i
$171$	−1.13795	+	7.91464i	−0.0870214	+	0.605247i
$172$	−2.77906	−	19.3288i	−0.211901	−	1.47381i
$173$	−7.44221	−	16.2962i	−0.565821	−	1.23897i	−0.948993	−	0.315298i	$-0.897896\pi$
$173$	−7.44221	−	16.2962i	−0.565821	−	1.23897i	0.383172	−	0.923677i	$-0.374832\pi$
$174$	0.611481	−	1.33896i	0.0463563	−	0.101506i
$175$	4.11683	+	1.20881i	0.311203	+	0.0913775i
$176$	−2.94185	+	9.29920i	−0.221750	+	0.700953i
$177$	−0.119255	+	0.0350166i	−0.00896379	+	0.00263201i
$178$	−0.871504	+	6.06145i	−0.0653220	+	0.454325i
$179$	0.975580	−	2.13622i	0.0729183	−	0.159669i	−0.869663	−	0.493646i	$-0.835664\pi$
$179$	0.975580	−	2.13622i	0.0729183	−	0.159669i	0.942581	+	0.333978i	$0.108391\pi$
$180$	−10.9621	+	3.21875i	−0.817064	+	0.239912i
$181$	−13.9678	+	4.10133i	−1.03822	+	0.304849i	−0.756050	−	0.654514i	$-0.772873\pi$
$181$	−13.9678	+	4.10133i	−1.03822	+	0.304849i	−0.282172	+	0.959364i	$0.591055\pi$
$182$	−63.4798	+	18.6394i	−4.70544	+	1.38164i
$183$	0.0233990	−	0.00687056i	0.00172970	−	0.000507886i
$184$	10.0992	−	22.1141i	0.744522	−	1.63028i
$185$	1.34651	−	9.36518i	0.0989974	−	0.688542i
$186$	1.37516	−	0.403782i	0.100831	−	0.0296068i
$187$	9.30316	−	13.8348i	0.680314	−	1.01170i
$188$	−5.33064	−	1.56522i	−0.388777	−	0.114155i
$189$	−0.930209	+	2.03687i	−0.0676627	+	0.148161i
$190$	2.67744	+	5.86277i	0.194242	+	0.425330i
$191$	0.129726	+	0.902262i	0.00938662	+	0.0652854i	0.993976	−	0.109595i	$-0.0349553\pi$
$191$	0.129726	+	0.902262i	0.00938662	+	0.0652854i	−0.984590	+	0.174880i	$0.944046\pi$
$192$	−0.123022	+	0.855636i	−0.00887834	+	0.0617502i
$193$	17.2119	+	19.8636i	1.23894	+	1.42982i	0.864552	+	0.502544i	$0.167602\pi$
$193$	17.2119	+	19.8636i	1.23894	+	1.42982i	0.374390	+	0.927271i	$0.377852\pi$
$194$	0.0677579	+	0.148369i	0.00486473	+	0.0106523i
$195$	0.534201	−	0.156856i	0.0382549	−	0.0112327i
$196$	−6.19936	−	43.1175i	−0.442811	−	3.07982i
$197$	9.71855	−	11.2158i	0.692418	−	0.799093i	−0.295289	−	0.955408i	$-0.595416\pi$
$197$	9.71855	−	11.2158i	0.692418	−	0.799093i	0.987707	+	0.156315i	$0.0499614\pi$
$198$	12.5208	+	20.4034i	0.889813	+	1.45000i
$199$	−17.0498	−	19.6765i	−1.20863	−	1.39483i	−0.895463	−	0.445135i	$-0.853156\pi$
$199$	−17.0498	−	19.6765i	−1.20863	−	1.39483i	−0.313166	−	0.949698i	$-0.601390\pi$
$200$	−2.87152	+	3.31392i	−0.203047	+	0.234329i
$201$	0.987346	+	0.289911i	0.0696421	+	0.0204488i
$202$	31.3421			2.20522
$203$	25.2924	+	16.2544i	1.77518	+	1.14084i
$204$	−0.694343	+	1.52040i	−0.0486137	+	0.106449i
$205$	5.44470	−	3.49910i	0.380275	−	0.244388i
$206$	4.71974	+	3.03319i	0.328840	+	0.211333i
$207$	−6.89199	−	15.0914i	−0.479027	−	1.04892i
$208$	2.67547	−	18.6083i	0.185510	−	1.29025i
$209$	6.81694	−	5.66309i	0.471537	−	0.391724i
$210$	0.128272	+	0.892150i	0.00885159	+	0.0615642i
$211$	−0.545972	+	0.350875i	−0.0375863	+	0.0241552i	−0.559299	−	0.828966i	$-0.688930\pi$
$211$	−0.545972	+	0.350875i	−0.0375863	+	0.0241552i	0.521713	+	0.853121i	$0.325293\pi$
$212$	37.8949	−	24.3536i	2.60263	−	1.67261i
$213$	−0.0443830	+	0.308691i	−0.00304107	+	0.0211511i
$214$	−10.5457	+	6.77730i	−0.720888	+	0.463286i
$215$	−5.11469			−0.348819
$216$	−1.49861	−	1.72949i	−0.101968	−	0.117677i
$217$	4.16603	+	28.9754i	0.282809	+	1.96698i
$218$	20.4747	+	23.6290i	1.38672	+	1.60036i
$219$	0.101961	+	0.223263i	0.00688986	+	0.0150867i
$220$	11.4065	+	5.49862i	0.769026	+	0.370717i
$221$	−13.3493	+	29.2308i	−0.897970	+	1.96628i
$222$	1.90704	−	0.559959i	0.127992	−	0.0375820i
$223$	0.384855	−	2.67672i	0.0257718	−	0.179247i	−0.972870	−	0.231354i	$-0.925685\pi$
$223$	0.384855	−	2.67672i	0.0257718	−	0.179247i	0.998642	+	0.0521069i	$0.0165937\pi$
$224$	−6.90235	−	2.02671i	−0.461183	−	0.135415i
$225$	0.425865	+	2.96196i	0.0283910	+	0.197464i
$226$	−7.17395	−	15.7088i	−0.477204	−	1.04493i
$227$	14.0330	−	16.1950i	0.931405	−	1.07490i	−0.0656218	−	0.997845i	$-0.520903\pi$
$227$	14.0330	−	16.1950i	0.931405	−	1.07490i	0.997027	−	0.0770542i	$-0.0245515\pi$
$228$	−0.581842	+	0.671482i	−0.0385334	+	0.0444700i
$229$	−12.9667	−	8.33317i	−0.856861	−	0.550671i	0.0368466	−	0.999321i	$-0.488269\pi$
$229$	−12.9667	−	8.33317i	−0.856861	−	0.550671i	−0.893708	+	0.448650i	$0.851905\pi$
$230$	−11.2500	−	7.22993i	−0.741803	−	0.476728i
$231$	1.13781	−	0.491291i	0.0748624	−	0.0323246i
$232$	−25.8483	+	16.6117i	−1.69702	+	1.09061i
$233$	25.5618			1.67461			0.837303	−	0.546739i	$-0.184131\pi$
$233$	25.5618			1.67461			0.837303	+	0.546739i	$0.184131\pi$
$234$	−30.2164	−	34.8716i	−1.97531	−	2.27963i
$235$	−0.604493	+	1.32365i	−0.0394328	+	0.0863457i
$236$	5.22796	+	1.53507i	0.340311	+	0.0999243i
$237$	0.568768	−	0.656394i	0.0369455	−	0.0426374i
$238$	−43.7644	−	28.1256i	−2.83682	−	1.82311i
$239$	5.46276			0.353357			0.176678	−	0.984269i	$-0.443465\pi$
$239$	5.46276			0.353357			0.176678	+	0.984269i	$0.443465\pi$
$240$	−0.245741	−	0.0721562i	−0.0158625	−	0.00465766i
$241$	−11.2304			−0.723412			−0.361706	−	0.932292i	$-0.617806\pi$
$241$	−11.2304			−0.723412			−0.361706	+	0.932292i	$0.617806\pi$
$242$	4.86458	−	26.0827i	0.312707	−	1.67666i
$243$	−2.34354			−0.150338
$244$	−1.02577	−	0.301194i	−0.0656683	−	0.0192819i
$245$	−11.4095			−0.728928
$246$	1.14376	+	0.735048i	0.0729233	+	0.0468650i
$247$	−11.1864	+	12.9098i	−0.711772	+	0.821428i
$248$	−28.7049	−	8.42852i	−1.82276	−	0.535212i
$249$	0.0737763	−	0.161548i	0.00467538	−	0.0102377i
$250$	1.57955	+	1.82290i	0.0998995	+	0.115290i
$251$	−22.8411			−1.44172			−0.720860	−	0.693080i	$-0.756253\pi$
$251$	−22.8411			−1.44172			−0.720860	+	0.693080i	$0.756253\pi$
$252$	41.2381	−	26.5021i	2.59776	−	1.66948i
$253$	−5.54626	+	17.5317i	−0.348690	+	1.10221i
$254$	−17.4798	−	11.2336i	−1.09678	−	0.704857i
$255$	0.368290	+	0.236685i	0.0230632	+	0.0148218i
$256$	19.5196	−	22.5268i	1.21997	−	1.40792i
$257$	7.25967	−	8.37811i	0.452846	−	0.522612i	−0.482715	−	0.875777i	$-0.660349\pi$
$257$	7.25967	−	8.37811i	0.452846	−	0.522612i	0.935561	+	0.353166i	$0.114895\pi$
$258$	−0.446335	−	0.977337i	−0.0277876	−	0.0608463i
$259$	5.77738	+	40.1826i	0.358989	+	2.49682i
$260$	−23.4185	−	6.87628i	−1.45235	−	0.426449i
$261$	−2.98410	+	20.7549i	−0.184711	+	1.28469i
$262$	−36.1645	+	10.6189i	−2.23425	+	0.656036i
$263$	1.02506	−	2.24457i	0.0632081	−	0.138406i	−0.875392	−	0.483414i	$-0.839396\pi$
$263$	1.02506	−	2.24457i	0.0632081	−	0.138406i	0.938600	+	0.345008i	$0.112124\pi$
$264$	−0.0263354	+	1.26631i	−0.00162083	+	0.0779362i
$265$	−4.90125	−	10.7322i	−0.301081	−	0.659276i
$266$	−18.1095	−	20.8995i	−1.11037	−	1.28143i
$267$	0.0314673	+	0.218860i	0.00192577	+	0.0133940i
$268$	−29.5414	−	34.0926i	−1.80453	−	2.08253i
$269$	0.177679			0.0108333			0.00541663	−	0.999985i	$-0.498276\pi$
$269$	0.177679			0.0108333			0.00541663	+	0.999985i	$0.498276\pi$
$270$	−1.05898	+	0.680566i	−0.0644476	+	0.0414179i
$271$	2.56250	−	17.8226i	0.155661	−	1.08264i	−0.750853	−	0.660469i	$-0.770357\pi$
$271$	2.56250	−	17.8226i	0.155661	−	1.08264i	0.906514	−	0.422176i	$-0.138733\pi$
$272$	12.4359	−	7.99205i	0.754035	−	0.484589i
$273$	−2.00961	+	1.29150i	−0.121627	+	0.0781649i
$274$	−0.169610	−	1.17966i	−0.0102465	−	0.0712660i
$275$	1.85073	−	2.75224i	0.111603	−	0.165966i
$276$	0.262358	−	1.82474i	0.0157921	−	0.109837i
$277$	−2.41004	−	5.27726i	−0.144805	−	0.317080i	0.823307	−	0.567597i	$-0.192127\pi$
$277$	−2.41004	−	5.27726i	−0.144805	−	0.317080i	−0.968112	+	0.250517i	$0.919399\pi$
$278$	20.9895	+	13.4891i	1.25887	+	0.809025i
$279$	−17.1751	+	11.0378i	−1.02825	+	0.660814i
$280$	7.81569	−	17.1140i	0.467077	−	1.02275i
$281$	−8.47411	−	5.44598i	−0.505523	−	0.324880i	0.262899	−	0.964823i	$-0.415321\pi$
$281$	−8.47411	−	5.44598i	−0.505523	−	0.324880i	−0.768422	+	0.639943i	$0.778958\pi$
$282$	−0.305681			−0.0182030
$283$	6.90793	+	2.02835i	0.410634	+	0.120573i	0.480524	−	0.876982i	$-0.340447\pi$
$283$	6.90793	+	2.02835i	0.410634	+	0.120573i	−0.0698898	+	0.997555i	$0.522265\pi$
$284$	8.95302	−	10.3323i	0.531264	−	0.613111i
$285$	0.152397	+	0.175875i	0.00902722	+	0.0104180i
$286$	−1.06334	+	51.1299i	−0.0628769	+	3.02337i
$287$	−18.1852	+	20.9868i	−1.07344	+	1.23881i
$288$	−0.714012	−	4.96606i	−0.0420736	−	0.292628i
$289$	−7.93335	+	2.32944i	−0.466667	+	0.137026i
$290$	7.02115	+	15.3742i	0.412296	+	0.902802i
$291$	0.00385671	+	0.00445088i	0.000226084	+	0.000260915i
$292$	1.53128	−	10.6503i	0.0896114	−	0.623261i
$293$	−2.06131	−	14.3367i	−0.120423	−	0.837559i	−0.957078	−	0.289830i	$-0.906401\pi$
$293$	−2.06131	−	14.3367i	−0.120423	−	0.837559i	0.836655	−	0.547730i	$-0.184508\pi$
$294$	−0.995657	−	2.18018i	−0.0580679	−	0.127151i
$295$	0.592848	−	1.29816i	0.0345170	−	0.0755816i
$296$	−39.8075	−	11.6885i	−2.31376	−	0.679382i
$297$	1.28428	+	1.16046i	0.0745215	+	0.0673365i
$298$	23.1240	−	6.78982i	1.33954	−	0.393324i
$299$	5.04404	−	35.0821i	0.291705	−	2.02885i
$300$	−0.138129	+	0.302461i	−0.00797490	+	0.0174626i
$301$	21.0563	−	6.18269i	1.21367	−	0.356364i
$302$	5.51929	−	1.62061i	0.317599	−	0.0932556i
$303$	1.08583	−	0.318828i	0.0623791	−	0.0183162i
$304$	7.53973	−	2.21386i	0.432433	−	0.126974i
$305$	−0.116322	+	0.254710i	−0.00666058	+	0.0145846i
$306$	5.16350	−	35.9129i	0.295178	−	2.05301i
$307$	16.3834	−	4.81059i	0.935047	−	0.274555i	0.221499	−	0.975161i	$-0.428905\pi$
$307$	16.3834	−	4.81059i	0.935047	−	0.274555i	0.713548	+	0.700606i	$0.247087\pi$
$308$	−53.6055	−	8.84859i	−3.05445	−	0.504195i
$309$	0.194367	+	0.0570714i	0.0110572	+	0.00324668i
$310$	−6.83624	+	14.9693i	−0.388273	+	0.850198i
$311$	5.90550	+	12.9312i	0.334870	+	0.733263i	0.999908	−	0.0135461i	$-0.00431198\pi$
$311$	5.90550	+	12.9312i	0.334870	+	0.733263i	−0.665038	+	0.746809i	$0.731585\pi$
$312$	−0.347437	−	2.41648i	−0.0196698	−	0.136806i
$313$	−0.362712	+	2.52272i	−0.0205017	+	0.142592i	−0.997501	−	0.0706490i	$-0.977493\pi$
$313$	−0.362712	+	2.52272i	−0.0205017	+	0.142592i	0.977000	+	0.213241i	$0.0684021\pi$
$314$	23.3200	+	26.9127i	1.31602	+	1.51877i
$315$	−5.33366	−	11.6791i	−0.300518	−	0.658042i
$316$	−36.5327	+	10.7270i	−2.05513	+	0.603440i
$317$	1.25619	+	8.73698i	0.0705546	+	0.490718i	0.994207	+	0.107486i	$0.0342800\pi$
$317$	1.25619	+	8.73698i	0.0705546	+	0.490718i	−0.923652	+	0.383232i	$0.874811\pi$
$318$	1.62306	−	1.87311i	0.0910164	−	0.105039i
$319$	17.8763	−	14.8505i	1.00088	−	0.831471i
$320$	−6.49989	−	7.50128i	−0.363355	−	0.419334i
$321$	−0.296406	+	0.342071i	−0.0165438	+	0.0190925i
$322$	55.0540	+	16.1653i	3.06804	+	0.900857i
$323$	−13.4320			−0.747375
$324$	28.6876	+	18.4364i	1.59376	+	1.02424i
$325$	−2.65565	+	5.81505i	−0.147309	+	0.322561i
$326$	19.0226	−	12.2251i	1.05356	−	0.677084i
$327$	0.949698	+	0.610334i	0.0525184	+	0.0337515i
$328$	−11.7894	−	25.8153i	−0.650963	−	1.42541i
$329$	0.888547	−	6.17998i	0.0489872	−	0.340714i
$330$	0.687414	+	0.113471i	0.0378409	+	0.00624635i
$331$	−0.155292	−	1.08008i	−0.00853560	−	0.0593664i	0.985108	−	0.171934i	$-0.0550016\pi$
$331$	−0.155292	−	1.08008i	−0.00853560	−	0.0593664i	−0.993644	+	0.112568i	$0.964093\pi$
$332$	−6.54961	+	4.20918i	−0.359457	+	0.231009i
$333$	−23.8182	+	15.3070i	−1.30523	+	0.838818i
$334$	2.64160	−	18.3727i	0.144542	−	1.00531i
$335$	−9.93985	+	6.38795i	−0.543072	+	0.349011i
$336$	1.09890			0.0599499
$337$	11.6190	+	13.4091i	0.632930	+	0.730440i	0.978108	−	0.208097i	$-0.0667271\pi$
$337$	11.6190	+	13.4091i	0.632930	+	0.730440i	−0.345178	+	0.938537i	$0.612182\pi$
$338$	−9.56598	−	66.5328i	−0.520321	−	3.61891i
$339$	−0.408334	−	0.471243i	−0.0221777	−	0.0255944i
$340$	−7.97258	−	17.4575i	−0.432374	−	0.946766i
$341$	22.3259	+	3.68531i	1.20902	+	0.199571i
$342$	8.01200	−	17.5438i	0.433239	−	0.948662i
$343$	18.1533	−	5.33029i	0.980186	−	0.287809i
$344$	−3.19178	+	22.1993i	−0.172089	+	1.19691i
$345$	−0.463295	−	0.136036i	−0.0249430	−	0.00732392i
$346$	6.14971	+	42.7721i	0.330610	+	2.29945i
$347$	−11.8310	−	25.9062i	−0.635119	−	1.39072i	−0.903996	−	0.427541i	$-0.859380\pi$
$347$	−11.8310	−	25.9062i	−0.635119	−	1.39072i	0.268877	−	0.963175i	$-0.413347\pi$
$348$	−1.52579	+	1.76085i	−0.0817908	+	0.0943917i
$349$	18.4483	−	21.2905i	0.987515	−	1.13965i	−0.00268549	−	0.999996i	$-0.500855\pi$
$349$	18.4483	−	21.2905i	0.987515	−	1.13965i	0.990200	−	0.139656i	$-0.0445997\pi$
$350$	−8.70628	−	5.59519i	−0.465370	−	0.299075i
$351$	−2.80667	−	1.80374i	−0.149809	−	0.0962764i
$352$	−3.10296	+	4.61444i	−0.165388	+	0.245951i
$353$	29.6313	−	19.0429i	1.57712	−	1.01355i	0.600222	−	0.799833i	$-0.295079\pi$
$353$	29.6313	−	19.0429i	1.57712	−	1.01355i	0.976895	−	0.213718i	$-0.0685574\pi$
$354$	0.299793			0.0159338
$355$	−2.34499	−	2.70626i	−0.124459	−	0.143633i
$356$	4.02667	−	8.81718i	0.213413	−	0.467309i
$357$	−1.80230	−	0.529202i	−0.0953876	−	0.0280083i
$358$	−3.70949	+	4.28098i	−0.196053	+	0.226257i
$359$	10.9795	+	7.05608i	0.579474	+	0.372406i	0.797301	−	0.603582i	$-0.206260\pi$
$359$	10.9795	+	7.05608i	0.579474	+	0.372406i	−0.217827	+	0.975987i	$0.569897\pi$
$360$	13.1216			0.691567
$361$	11.3795	+	3.34132i	0.598920	+	0.175859i
$362$	35.1133			1.84552
$363$	−0.0967960	−	0.953102i	−0.00508047	−	0.0500249i
$364$	104.722			5.48893
$365$	−2.70407	−	0.793985i	−0.141537	−	0.0415591i
$366$	−0.0588220			−0.00307467
$367$	13.8981	+	8.93175i	0.725474	+	0.466234i	0.850537	−	0.525915i	$-0.176277\pi$
$367$	13.8981	+	8.93175i	0.725474	+	0.466234i	−0.125063	+	0.992149i	$0.539913\pi$
$368$	−10.6770	+	12.3220i	−0.556580	+	0.642327i
$369$	−18.5828	−	5.45640i	−0.967382	−	0.284049i
$370$	−9.48039	+	20.7592i	−0.492862	+	1.07922i
$371$	33.1509	+	38.2582i	1.72111	+	1.98626i
$372$	−2.26858			−0.117621
$373$	−20.4228	+	13.1250i	−1.05745	+	0.679585i	−0.949243	−	0.314543i	$-0.898149\pi$
$373$	−20.4228	+	13.1250i	−1.05745	+	0.679585i	−0.108211	+	0.994128i	$0.534512\pi$
$374$	−30.9321	+	25.6964i	−1.59946	+	1.32873i
$375$	0.0732659	+	0.0470851i	0.00378343	+	0.00243147i
$376$	5.36784	+	3.44970i	0.276825	+	0.177905i
$377$	−29.3345	+	33.8538i	−1.51080	+	1.74356i
$378$	3.53697	−	4.08188i	0.181922	−	0.209949i
$379$	−6.68428	−	14.6365i	−0.343348	−	0.751828i	0.656649	−	0.754197i	$-0.271973\pi$
$379$	−6.68428	−	14.6365i	−0.343348	−	0.751828i	−0.999997	+	0.00236829i	$0.999246\pi$
$380$	−1.45188	−	10.0981i	−0.0744800	−	0.518020i
$381$	−0.719849	−	0.211367i	−0.0368790	−	0.0108286i
$382$	0.312903	−	2.17629i	0.0160095	−	0.111349i
$383$	−13.1835	+	3.87103i	−0.673646	+	0.197800i	−0.600626	−	0.799530i	$-0.705082\pi$
$383$	−13.1835	+	3.87103i	−0.673646	+	0.197800i	−0.0730203	+	0.997330i	$0.523264\pi$
$384$	0.744845	−	1.63098i	0.0380102	−	0.0832307i
$385$	−4.29221	+	13.5677i	−0.218751	+	0.691473i
$386$	−26.3359	−	57.6675i	−1.34046	−	2.93520i
$387$	10.0228	+	11.5669i	0.509489	+	0.587981i
$388$	−0.0367428	−	0.255552i	−0.00186533	−	0.0129737i
$389$	22.4726	+	25.9347i	1.13941	+	1.31494i	0.942380	+	0.334545i	$0.108583\pi$
$389$	22.4726	+	25.9347i	1.13941	+	1.31494i	0.197025	+	0.980398i	$0.436872\pi$
$390$	−1.34291			−0.0680010
$391$	23.4453	−	15.0674i	1.18568	−	0.761990i
$392$	−7.12003	+	49.5209i	−0.359616	+	2.50118i
$393$	−1.14488	+	0.735767i	−0.0577514	+	0.0371145i
$394$	−30.1137	+	19.3529i	−1.51711	+	0.974985i
$395$	1.41926	+	9.87116i	0.0714107	+	0.496672i
$396$	−9.91714	−	36.5712i	−0.498355	−	1.83777i
$397$	0.836448	−	5.81762i	0.0419801	−	0.291978i	−0.958006	−	0.286748i	$-0.907426\pi$
$397$	0.836448	−	5.81762i	0.0419801	−	0.291978i	0.999986	−	0.00523070i	$-0.00166499\pi$
$398$	26.0878	+	57.1243i	1.30766	+	2.86338i
$399$	−0.839993	−	0.539831i	−0.0420522	−	0.0270253i
$400$	2.47393	−	1.58990i	0.123697	−	0.0794951i
$401$	−1.86629	+	4.08662i	−0.0931983	+	0.204076i	−0.950490	−	0.310755i	$-0.899418\pi$
$401$	−1.86629	+	4.08662i	−0.0931983	+	0.204076i	0.857292	+	0.514831i	$0.172145\pi$
$402$	−2.08804	−	1.34190i	−0.104142	−	0.0669280i
$403$	−43.6153			−2.17263
$404$	−47.6008	−	13.9769i	−2.36823	−	0.695375i
$405$	5.84908	−	6.75020i	0.290643	−	0.335420i
$406$	−47.4894	−	54.8056i	−2.35686	−	2.71996i
$407$	30.9612	+	5.11073i	1.53469	+	0.253330i
$408$	1.25712	−	1.45079i	0.0622365	−	0.0718247i
$409$	−3.39394	−	23.6054i	−0.167820	−	1.16721i	−0.883379	−	0.468659i	$-0.844737\pi$
$409$	−3.39394	−	23.6054i	−0.167820	−	1.16721i	0.715559	−	0.698552i	$-0.246172\pi$
$410$	−14.9787	+	4.39814i	−0.739745	+	0.217209i
$411$	−0.0178761	−	0.0391433i	−0.000881765	−	0.00193080i
$412$	−5.81547	−	6.71141i	−0.286507	−	0.330647i
$413$	−0.871431	+	6.06094i	−0.0428803	+	0.298239i
$414$	5.69505	+	39.6099i	0.279896	+	1.94672i
$415$	0.847114	+	1.85492i	0.0415832	+	0.0910545i
$416$	4.45250	−	9.74961i	0.218302	−	0.478014i
$417$	0.864386	+	0.253807i	0.0423291	+	0.0124290i
$418$	−19.6250	+	8.47383i	−0.959892	+	0.414469i
$419$	−32.1637	+	9.44412i	−1.57130	+	0.461375i	−0.947380	−	0.320112i	$-0.896279\pi$
$419$	−32.1637	+	9.44412i	−1.57130	+	0.461375i	−0.623921	+	0.781487i	$0.714461\pi$
$420$	0.203037	−	1.41215i	0.00990720	−	0.0689061i
$421$	3.86802	−	8.46978i	0.188516	−	0.412792i	−0.791649	−	0.610976i	$-0.790777\pi$
$421$	3.86802	−	8.46978i	0.188516	−	0.412792i	0.980165	+	0.198184i	$0.0635044\pi$
$422$	1.50200	−	0.441027i	0.0731162	−	0.0214688i
$423$	4.17804	−	1.22678i	0.203143	−	0.0596483i
$424$	−49.6398	+	14.5756i	−2.41072	+	0.707852i
$425$	−4.82314	+	1.41620i	−0.233956	+	0.0686958i
$426$	0.312488	−	0.684253i	0.0151401	−	0.0331522i
$427$	0.170982	−	1.18921i	0.00827442	−	0.0575499i
$428$	19.0385	−	5.59022i	0.920263	−	0.270214i
$429$	0.483280	+	1.78218i	0.0233330	+	0.0860444i
$430$	11.8371	+	3.47569i	0.570836	+	0.167613i
$431$	3.45335	−	7.56179i	0.166342	−	0.364239i	−0.808043	−	0.589123i	$-0.799473\pi$
$431$	3.45335	−	7.56179i	0.166342	−	0.364239i	0.974385	+	0.224885i	$0.0722005\pi$
$432$	0.637559	+	1.39606i	0.0306746	+	0.0671680i
$433$	−1.00320	−	6.97741i	−0.0482107	−	0.335313i	−0.999625	−	0.0273980i	$-0.991278\pi$
$433$	−1.00320	−	6.97741i	−0.0482107	−	0.335313i	0.951414	−	0.307915i	$-0.0996313\pi$
$434$	10.0486	−	69.8898i	0.482350	−	3.35482i
$435$	0.399637	+	0.461205i	0.0191611	+	0.0221131i
$436$	−20.5586	−	45.0172i	−0.984580	−	2.15593i
$437$	14.2146	−	4.17379i	0.679977	−	0.199659i
$438$	−0.0842530	−	0.585992i	−0.00402576	−	0.0279998i
$439$	−20.2514	+	23.3714i	−0.966549	+	1.11546i	0.0267222	+	0.999643i	$0.491493\pi$
$439$	−20.2514	+	23.3714i	−0.966549	+	1.11546i	−0.993271	+	0.115814i	$0.963052\pi$
$440$	−10.7906	−	9.75024i	−0.514422	−	0.464824i
$441$	22.3583	+	25.8028i	1.06468	+	1.22871i
$442$	50.7585	−	58.5785i	2.41434	−	2.78629i
$443$	−24.4695	−	7.18489i	−1.16258	−	0.341365i	−0.357146	−	0.934049i	$-0.616250\pi$
$443$	−24.4695	−	7.18489i	−1.16258	−	0.341365i	−0.805435	+	0.592684i	$0.798068\pi$
$444$	−3.14603			−0.149304
$445$	−2.13581	−	1.37260i	−0.101247	−	0.0650674i
$446$	−2.70965	+	5.93331i	−0.128306	+	0.280950i
$447$	0.732046	−	0.470458i	0.0346246	−	0.0222519i
$448$	35.8266	+	23.0244i	1.69265	+	1.08780i
$449$	−5.89934	−	12.9178i	−0.278407	−	0.609627i	0.717837	−	0.696211i	$-0.245132\pi$
$449$	−5.89934	−	12.9178i	−0.278407	−	0.609627i	−0.996245	+	0.0865842i	$0.972405\pi$
$450$	1.02720	−	7.14436i	0.0484228	−	0.336788i
$451$	11.2272	+	18.2954i	0.528669	+	0.861498i
$452$	3.89019	+	27.0569i	0.182979	+	1.27265i
$453$	0.174727	−	0.112290i	0.00820937	−	0.00527584i
$454$	−43.4825	+	27.9445i	−2.04073	+	1.31150i
$455$	3.90355	−	27.1498i	0.183001	−	1.27280i
$456$	0.858455	−	0.551696i	0.0402009	−	0.0258355i
$457$	3.27690			0.153287			0.0766434	−	0.997059i	$-0.475580\pi$
$457$	3.27690			0.153287			0.0766434	+	0.997059i	$0.475580\pi$
$458$	24.3464	+	28.0972i	1.13763	+	1.31290i
$459$	−0.373349	−	2.59670i	−0.0174264	−	0.121204i
$460$	13.8618	+	15.9973i	0.646308	+	0.745879i
$461$	12.3424	+	27.0261i	0.574844	+	1.25873i	0.944178	+	0.329436i	$0.106859\pi$
$461$	12.3424	+	27.0261i	0.574844	+	1.25873i	−0.369334	+	0.929297i	$0.620414\pi$
$462$	−2.96713	+	0.363814i	−0.138043	+	0.0169262i
$463$	−15.0384	+	32.9294i	−0.698892	+	1.53036i	0.142418	+	0.989807i	$0.454512\pi$
$463$	−15.0384	+	32.9294i	−0.698892	+	1.53036i	−0.841310	+	0.540553i	$0.818215\pi$
$464$	19.7717	−	5.80550i	0.917880	−	0.269514i
$465$	−0.0845621	+	0.588143i	−0.00392148	+	0.0272745i
$466$	−59.1585	−	17.3705i	−2.74046	−	0.804673i
$467$	−0.221968	−	1.54382i	−0.0102715	−	0.0714397i	0.984041	−	0.177942i	$-0.0569439\pi$
$467$	−0.221968	−	1.54382i	−0.0102715	−	0.0714397i	−0.994312	+	0.106502i	$0.966035\pi$
$468$	30.3404	+	66.4361i	1.40248	+	3.07101i
$469$	33.1989	−	38.3135i	1.53298	−	1.76915i
$470$	2.29849	−	2.65260i	0.106021	−	0.122355i
$471$	1.08168	+	0.695151i	0.0498410	+	0.0320309i
$472$	−5.26444	−	3.38325i	−0.242315	−	0.155727i
$473$	0.352712	−	16.9598i	0.0162177	−	0.779814i
$474$	−1.76237	+	1.13261i	−0.0809485	+	0.0520224i
$475$	−2.67210			−0.122604
$476$	53.9246	+	62.2323i	2.47163	+	2.85241i
$477$	−14.6666	+	32.1153i	−0.671536	+	1.47046i
$478$	−12.6427	−	3.71222i	−0.578262	−	0.169793i
$479$	11.4525	−	13.2169i	0.523277	−	0.603893i	−0.431172	−	0.902270i	$-0.641900\pi$
$479$	11.4525	−	13.2169i	0.523277	−	0.603893i	0.954448	+	0.298376i	$0.0964451\pi$
$480$	−0.122839	−	0.0789437i	−0.00560680	−	0.00360327i
$481$	−60.4849			−2.75788
$482$	25.9909	+	7.63161i	1.18385	+	0.347610i
$483$	2.07175			0.0942679
$484$	−19.0195	+	37.4437i	−0.864523	+	1.70199i
$485$	−0.0676228			−0.00307059
$486$	5.42375	+	1.59256i	0.246026	+	0.0722398i
$487$	−35.0840			−1.58981			−0.794903	−	0.606737i	$-0.792478\pi$
$487$	−35.0840			−1.58981			−0.794903	+	0.606737i	$0.792478\pi$
$488$	1.03293	+	0.663823i	0.0467585	+	0.0300499i
$489$	0.534665	−	0.617037i	0.0241784	−	0.0279034i
$490$	26.4055	+	7.75335i	1.19288	+	0.350261i
$491$	−1.48168	+	3.24443i	−0.0668673	+	0.146419i	−0.940115	−	0.340858i	$-0.889282\pi$
$491$	−1.48168	+	3.24443i	−0.0668673	+	0.146419i	0.873248	+	0.487277i	$0.162010\pi$
$492$	−1.40929	−	1.62641i	−0.0635357	−	0.0733241i
$493$	−35.2232			−1.58637
$494$	34.6618	−	22.2758i	1.55951	−	1.00224i
$495$	−9.85094	+	1.20787i	−0.442767	+	0.0542898i
$496$	16.8787	+	10.8473i	0.757876	+	0.487057i
$497$	12.9253	+	8.30657i	0.579778	+	0.372601i
$498$	−0.280523	+	0.323741i	−0.0125705	+	0.0145072i
$499$	−4.39169	+	5.06828i	−0.196599	+	0.226887i	−0.845486	−	0.533997i	$-0.820689\pi$
$499$	−4.39169	+	5.06828i	−0.196599	+	0.226887i	0.648887	+	0.760885i	$0.275235\pi$
$500$	−1.58603	−	3.47292i	−0.0709294	−	0.155314i
$501$	−0.0953800	−	0.663382i	−0.00426126	−	0.0296377i
$502$	52.8621	+	15.5217i	2.35935	+	0.692768i
$503$	−5.95410	+	41.4117i	−0.265480	+	1.84646i	0.224187	+	0.974546i	$0.428027\pi$
$503$	−5.95410	+	41.4117i	−0.265480	+	1.84646i	−0.489667	+	0.871909i	$0.662882\pi$
$504$	−54.0192	+	15.8615i	−2.40621	+	0.706527i
$505$	−5.39792	+	11.8198i	−0.240204	+	0.525974i
$506$	24.7496	−	36.8054i	1.10025	−	1.63620i
$507$	−1.00821	−	2.20768i	−0.0447763	−	0.0980463i
$508$	21.5379	+	24.8560i	0.955588	+	1.10281i
$509$	2.94011	+	20.4489i	0.130318	+	0.906382i	0.945139	+	0.326669i	$0.105926\pi$
$509$	2.94011	+	20.4489i	0.130318	+	0.906382i	−0.814821	+	0.579713i	$0.803165\pi$
$510$	−0.691506	−	0.798041i	−0.0306204	−	0.0353378i
$511$	12.0920			0.534917
$512$	−25.8439	+	16.6089i	−1.14215	+	0.734016i
$513$	0.198463	−	1.38034i	0.00876235	−	0.0609435i
$514$	−22.4947	+	14.4564i	−0.992197	+	0.637646i
$515$	−1.95674	+	1.25752i	−0.0862244	+	0.0554130i
$516$	0.242032	+	1.68337i	0.0106549	+	0.0741063i
$517$	−4.34743	−	2.09572i	−0.191200	−	0.0921698i
$518$	13.9353	−	96.9220i	0.612281	−	4.25851i
$519$	0.648152	+	1.41925i	0.0284507	+	0.0622984i
$520$	23.5819	+	15.1551i	1.03413	+	0.664597i
$521$	14.7961	−	9.50889i	0.648230	−	0.416592i	−0.174789	−	0.984606i	$-0.555924\pi$
$521$	14.7961	−	9.50889i	0.648230	−	0.416592i	0.823019	+	0.568014i	$0.192288\pi$
$522$	21.0102	−	46.0059i	0.919591	−	2.01362i
$523$	23.2358	+	14.9327i	1.01603	+	0.652964i	0.938947	−	0.344061i	$-0.111803\pi$
$523$	23.2358	+	14.9327i	1.01603	+	0.652964i	0.0770838	+	0.997025i	$0.475439\pi$
$524$	59.6603			2.60627
$525$	−0.358540	−	0.105277i	−0.0156480	−	0.00459466i
$526$	−3.89764	+	4.49812i	−0.169945	+	0.196127i
$527$	−22.4588	−	25.9189i	−0.978323	−	1.12904i
$528$	0.256210	−	0.809880i	0.0111501	−	0.0352455i
$529$	−5.06759	+	5.84832i	−0.220330	+	0.254275i
$530$	4.05004	+	28.1687i	0.175923	+	1.22357i
$531$	−4.09756	+	1.20315i	−0.177819	+	0.0522123i
$532$	18.1838	+	39.8170i	0.788368	+	1.72628i
$533$	−27.0947	−	31.2689i	−1.17360	−	1.35441i
$534$	0.0759005	−	0.527900i	0.00328454	−	0.0228444i
$535$	−0.739628	−	5.14423i	−0.0319769	−	0.222404i
$536$	21.5228	+	47.1283i	0.929643	+	2.03563i
$537$	−0.0849646	+	0.186046i	−0.00366649	+	0.00802850i
$538$	−0.411208	−	0.120742i	−0.0177284	−	0.00520554i
$539$	0.786809	−	37.8330i	0.0338903	−	1.62958i
$540$	1.91182	−	0.561362i	0.0822717	−	0.0241572i
$541$	−1.02909	+	7.15750i	−0.0442442	+	0.307725i	0.955668	+	0.294447i	$0.0951356\pi$
$541$	−1.02909	+	7.15750i	−0.0442442	+	0.307725i	−0.999912	+	0.0132776i	$0.995774\pi$
$542$	−18.0418	+	39.5061i	−0.774963	+	1.69693i
$543$	1.21648	−	0.357190i	0.0522041	−	0.0153285i
$544$	8.08655	−	2.37443i	0.346708	−	0.101803i
$545$	−12.4373	+	3.65191i	−0.532754	+	0.156431i
$546$	5.52854	−	1.62333i	0.236600	−	0.0694720i
$547$	−5.66483	+	12.4042i	−0.242211	+	0.530367i	−0.991225	−	0.132187i	$-0.957800\pi$
$547$	−5.66483	+	12.4042i	−0.242211	+	0.530367i	0.749014	+	0.662554i	$0.230527\pi$
$548$	−0.268470	+	1.86725i	−0.0114685	+	0.0797649i
$549$	0.803977	−	0.236069i	0.0343129	−	0.0100752i
$550$	−6.15349	+	5.11194i	−0.262386	+	0.217974i
$551$	−17.9653	−	5.27510i	−0.765350	−	0.224727i
$552$	−0.879552	+	1.92595i	−0.0374362	+	0.0819739i
$553$	−17.7752	−	38.9223i	−0.755879	−	1.65514i
$554$	1.99149	+	13.8511i	0.0846102	+	0.588477i
$555$	−0.117269	+	0.815626i	−0.00497781	+	0.0346214i
$556$	−25.8624	−	29.8468i	−1.09681	−	1.26579i
$557$	−15.2260	−	33.3403i	−0.645147	−	1.41268i	−0.895738	−	0.444582i	$-0.853352\pi$
$557$	−15.2260	−	33.3403i	−0.645147	−	1.41268i	0.250591	−	0.968093i	$-0.419375\pi$
$558$	47.2497	−	13.8738i	2.00024	−	0.587323i
$559$	4.65326	+	32.3641i	0.196812	+	1.36886i
$560$	−8.26289	+	9.53588i	−0.349171	+	0.402964i
$561$	−0.810225	+	1.20489i	−0.0342077	+	0.0508706i
$562$	15.9111	+	18.3624i	0.671170	+	0.774572i
$563$	−2.09437	+	2.41703i	−0.0882672	+	0.101866i	−0.798165	−	0.602439i	$-0.794196\pi$
$563$	−2.09437	+	2.41703i	−0.0882672	+	0.101866i	0.709898	+	0.704305i	$0.248741\pi$
$564$	0.464253	+	0.136317i	0.0195486	+	0.00573998i
$565$	7.15965			0.301209
$566$	−14.6089	−	9.38857i	−0.614058	−	0.394631i
$567$	−15.9200	+	34.8599i	−0.668576	+	1.46398i
$568$	−13.2094	+	8.48915i	−0.554253	+	0.356197i
$569$	32.6013	+	20.9516i	1.36672	+	0.878336i	0.998674	−	0.0514723i	$-0.0163914\pi$
$569$	32.6013	+	20.9516i	1.36672	+	0.878336i	0.368044	+	0.929809i	$0.380028\pi$
$570$	−0.233181	−	0.510596i	−0.00976690	−	0.0213865i
$571$	0.494128	−	3.43674i	0.0206786	−	0.143823i	−0.976866	−	0.213850i	$-0.931400\pi$
$571$	0.494128	−	3.43674i	0.0206786	−	0.143823i	0.997545	+	0.0700273i	$0.0223086\pi$
$572$	24.4161	−	77.1793i	1.02089	−	3.22703i
$573$	−0.0112980	−	0.0785792i	−0.000471980	−	0.00328269i
$574$	56.3482	−	36.2128i	2.35193	−	1.51149i
$575$	4.66410	−	2.99743i	0.194506	−	0.125002i
$576$	−4.22697	+	29.3992i	−0.176124	+	1.22497i
$577$	−0.623684	+	0.400818i	−0.0259643	+	0.0166863i	−0.553559	−	0.832810i	$-0.686731\pi$
$577$	−0.623684	+	0.400818i	−0.0259643	+	0.0166863i	0.527594	+	0.849496i	$0.323094\pi$
$578$	19.9434			0.829536
$579$	−1.49901	−	1.72995i	−0.0622967	−	0.0718943i
$580$	−3.80733	−	26.4806i	−0.158091	−	1.09955i
$581$	−5.72968	−	6.61240i	−0.237707	−	0.274329i
$582$	−0.00590112	−	0.0129217i	−0.000244609	−	0.000535620i
$583$	35.9251	−	15.5120i	1.48787	−	0.642441i
$584$	−5.13359	+	11.2410i	−0.212429	+	0.465156i
$585$	18.3549	−	5.38948i	0.758881	−	0.222828i
$586$	−4.97196	+	34.5807i	−0.205390	+	1.42852i
$587$	−6.83032	−	2.00556i	−0.281918	−	0.0827785i	0.137717	−	0.990472i	$-0.456024\pi$
$587$	−6.83032	−	2.00556i	−0.281918	−	0.0827785i	−0.419635	+	0.907693i	$0.637842\pi$
$588$	0.539911	+	3.75516i	0.0222655	+	0.154860i
$589$	−7.57330	−	16.5832i	−0.312053	−	0.683300i
$590$	−2.25421	+	2.60150i	−0.0928045	+	0.107102i
$591$	−0.846402	+	0.976800i	−0.0348163	+	0.0401802i
$592$	23.4071	+	15.0428i	0.962026	+	0.618257i
$593$	−17.9222	−	11.5179i	−0.735978	−	0.472984i	0.118184	−	0.992992i	$-0.462293\pi$
$593$	−17.9222	−	11.5179i	−0.735978	−	0.472984i	−0.854162	+	0.520008i	$0.825929\pi$
$594$	−2.18367	−	3.55842i	−0.0895969	−	0.146004i
$595$	18.1441	−	11.6605i	0.743837	−	0.478035i
$596$	−38.1474			−1.56258
$597$	1.48489	+	1.71366i	0.0607726	+	0.0701353i
$598$	−35.5137	+	77.7641i	−1.45226	+	3.18001i
$599$	−14.4236	−	4.23516i	−0.589333	−	0.173044i	−0.0265488	−	0.999648i	$-0.508452\pi$
$599$	−14.4236	−	4.23516i	−0.589333	−	0.173044i	−0.562785	+	0.826604i	$0.690270\pi$
$600$	0.250085	−	0.288613i	0.0102097	−	0.0117826i
$601$	9.67462	+	6.21750i	0.394636	+	0.253617i	0.722877	−	0.690977i	$-0.242819\pi$
$601$	9.67462	+	6.21750i	0.394636	+	0.253617i	−0.328241	+	0.944594i	$0.606456\pi$
$602$	−52.9328			−2.15738
$603$	33.9247	+	9.96120i	1.38152	+	0.405651i
$604$	−9.10512			−0.370482
$605$	8.99853	+	6.32664i	0.365842	+	0.257215i
$606$	−2.72963			−0.110884
$607$	18.4566	+	5.41933i	0.749129	+	0.219964i	0.633943	−	0.773380i	$-0.281435\pi$
$607$	18.4566	+	5.41933i	0.749129	+	0.219964i	0.115186	+	0.993344i	$0.463254\pi$
$608$	4.48008			0.181691
$609$	−2.20275	−	1.41562i	−0.0892598	−	0.0573638i
$610$	0.442296	−	0.510437i	0.0179081	−	0.0206670i
$611$	8.92563	+	2.62080i	0.361092	+	0.106026i
$612$	−23.8573	+	52.2401i	−0.964373	+	2.11168i
$613$	−19.7393	−	22.7804i	−0.797264	−	0.920092i	0.200964	−	0.979599i	$-0.435593\pi$
$613$	−19.7393	−	22.7804i	−0.797264	−	0.920092i	−0.998228	+	0.0595070i	$0.981047\pi$
$614$	−41.1856			−1.66212
$615$	−0.474187	+	0.304741i	−0.0191210	+	0.0122884i
$616$	56.2094	+	27.0963i	2.26474	+	1.09174i
$617$	16.1936	+	10.4070i	0.651931	+	0.418971i	0.824371	−	0.566049i	$-0.191529\pi$
$617$	16.1936	+	10.4070i	0.651931	+	0.418971i	−0.172440	+	0.985020i	$0.555165\pi$
$618$	−0.411049	−	0.264165i	−0.0165348	−	0.0106263i
$619$	25.6892	−	29.6469i	1.03254	−	1.19161i	0.0513221	−	0.998682i	$-0.483656\pi$
$619$	25.6892	−	29.6469i	1.03254	−	1.19161i	0.981213	−	0.192927i	$-0.0617980\pi$
$620$	17.0580	−	19.6860i	0.685066	−	0.790609i
$621$	1.20199	+	2.63199i	0.0482341	+	0.105618i
$622$	−4.87988	−	33.9403i	−0.195665	−	1.36088i
$623$	10.4520	+	3.06897i	0.418749	+	0.122956i
$624$	−0.233010	+	1.62062i	−0.00932786	+	0.0648767i
$625$	−0.959493	+	0.281733i	−0.0383797	+	0.0112693i
$626$	2.55375	−	5.59193i	0.102068	−	0.223498i
$627$	−0.593696	+	0.493206i	−0.0237099	+	0.0196967i
$628$	−23.4157	−	51.2731i	−0.934387	−	2.04602i
$629$	−31.1456	−	35.9439i	−1.24185	−	1.43318i
$630$	4.40735	+	30.6538i	0.175593	+	1.22128i
$631$	−9.82103	−	11.3341i	−0.390969	−	0.451203i	0.525807	−	0.850604i	$-0.323763\pi$
$631$	−9.82103	−	11.3341i	−0.390969	−	0.451203i	−0.916776	+	0.399401i	$0.869218\pi$
$632$	43.7295			1.73947
$633$	0.0475494	−	0.0305582i	0.00188992	−	0.00121458i
$634$	3.02998	−	21.0740i	0.120336	−	0.836953i
$635$	7.24689	−	4.65729i	0.287584	−	0.184819i
$636$	−3.30032	+	2.12098i	−0.130866	+	0.0841025i
$637$	10.3802	+	72.1959i	0.411279	+	2.86051i
$638$	−51.4635	+	22.2213i	−2.03746	+	0.879749i
$639$	−1.52498	+	10.6065i	−0.0603272	+	0.419585i
$640$	8.55246	+	18.7273i	0.338065	+	0.740260i
$641$	−0.378902	−	0.243506i	−0.0149657	−	0.00961789i	0.533137	−	0.846029i	$-0.321013\pi$
$641$	−0.378902	−	0.243506i	−0.0149657	−	0.00961789i	−0.548102	+	0.836411i	$0.684650\pi$
$642$	0.918437	−	0.590244i	0.0362478	−	0.0232951i
$643$	11.8487	−	25.9451i	0.467268	−	1.02317i	−0.518503	−	0.855076i	$-0.673510\pi$
$643$	11.8487	−	25.9451i	0.467268	−	1.02317i	0.985770	−	0.168098i	$-0.0537624\pi$
$644$	−76.4043	−	49.1021i	−3.01075	−	1.93489i
$645$	0.445445			0.0175394
$646$	31.0861	+	9.12771i	1.22307	+	0.359125i
$647$	−0.761395	+	0.878696i	−0.0299335	+	0.0345451i	−0.770519	−	0.637417i	$-0.780003\pi$
$647$	−0.761395	+	0.878696i	−0.0299335	+	0.0345451i	0.740585	+	0.671962i	$0.234548\pi$
$648$	−25.6479	−	29.5992i	−1.00754	−	1.16277i
$649$	4.26368	+	2.05535i	0.167364	+	0.0806796i
$650$	10.0977	−	11.6533i	0.396063	−	0.457082i
$651$	−0.362825	−	2.52350i	−0.0142202	−	0.0989039i
$652$	−34.3423	+	10.0838i	−1.34495	+	0.394912i
$653$	−10.1684	−	22.2657i	−0.397921	−	0.871326i	−0.997477	−	0.0709929i	$-0.977383\pi$
$653$	−10.1684	−	22.2657i	−0.397921	−	0.871326i	0.599556	−	0.800333i	$-0.295344\pi$
$654$	−1.78317	−	2.05788i	−0.0697273	−	0.0804696i
$655$	2.22386	−	15.4673i	0.0868933	−	0.604356i
$656$	2.70869	+	18.8393i	0.105756	+	0.735553i
$657$	3.50332	+	7.67120i	0.136677	+	0.299282i
$658$	−6.25601	+	13.6987i	−0.243885	+	0.534033i
$659$	−11.6149	−	3.41044i	−0.452453	−	0.132852i	0.0475635	−	0.998868i	$-0.484854\pi$
$659$	−11.6149	−	3.41044i	−0.452453	−	0.132852i	−0.500016	+	0.866016i	$0.666673\pi$
$660$	−0.993408	−	0.478882i	−0.0386683	−	0.0186405i
$661$	−1.49228	+	0.438172i	−0.0580428	+	0.0170429i	−0.310625	−	0.950533i	$-0.600538\pi$
$661$	−1.49228	+	0.438172i	−0.0580428	+	0.0170429i	0.252582	+	0.967575i	$0.418720\pi$
$662$	−0.374570	+	2.60519i	−0.0145581	+	0.101254i
$663$	1.16261	−	2.54575i	0.0451519	−	0.0988689i
$664$	8.57956	−	2.51919i	0.332952	−	0.0977634i
$665$	11.0006	−	3.23006i	0.426584	−	0.125256i
$666$	65.5251	−	19.2399i	2.53905	−	0.745531i
$667$	37.2756	−	10.9451i	1.44332	−	0.423796i
$668$	−12.2052	+	26.7256i	−0.472231	+	1.03404i
$669$	−0.0335175	+	0.233119i	−0.00129586	+	0.00901292i
$670$	27.3451	−	8.02924i	1.05643	−	0.310197i
$671$	−0.836573	−	0.403278i	−0.0322955	−	0.0155684i
$672$	0.601135	+	0.176509i	0.0231893	+	0.00680899i
$673$	−14.6978	+	32.1838i	−0.566560	+	1.24059i	0.382048	+	0.924142i	$0.375219\pi$
$673$	−14.6978	+	32.1838i	−0.566560	+	1.24059i	−0.948609	+	0.316452i	$0.897508\pi$
$674$	−17.7782	−	38.9289i	−0.684791	−	1.49948i
$675$	−0.0742723	−	0.516575i	−0.00285874	−	0.0198830i
$676$	−15.1417	+	105.313i	−0.582372	+	4.05048i
$677$	−9.45343	−	10.9098i	−0.363325	−	0.419299i	0.544426	−	0.838809i	$-0.316748\pi$
$677$	−9.45343	−	10.9098i	−0.363325	−	0.419299i	−0.907751	+	0.419510i	$0.862202\pi$
$678$	0.624789	+	1.36810i	0.0239949	+	0.0525415i
$679$	0.278392	−	0.0817431i	0.0106837	−	0.00313701i
$680$	3.13691	+	21.8177i	0.120295	+	0.836669i
$681$	−1.22216	+	1.41044i	−0.0468331	+	0.0540483i
$682$	−49.1653	−	23.7006i	−1.88264	−	0.907545i
$683$	15.0654	+	17.3864i	0.576461	+	0.665272i	0.966840	−	0.255382i	$-0.0822014\pi$
$683$	15.0654	+	17.3864i	0.576461	+	0.665272i	−0.390379	+	0.920654i	$0.627656\pi$
$684$	−19.9918	+	23.0718i	−0.764406	+	0.882171i
$685$	0.474087	+	0.139205i	0.0181139	+	0.00531873i
$686$	−45.6350			−1.74235
$687$	1.12928	+	0.725747i	0.0430849	+	0.0276890i
$688$	6.24831	−	13.6819i	0.238215	−	0.521617i
$689$	−63.4512	+	40.7776i	−2.41730	+	1.55350i
$690$	0.979777	+	0.629665i	0.0372995	+	0.0239709i
$691$	−8.13680	−	17.8171i	−0.309538	−	0.677795i	0.689375	−	0.724405i	$-0.257885\pi$
$691$	−8.13680	−	17.8171i	−0.309538	−	0.677795i	−0.998913	+	0.0466102i	$0.985158\pi$
$692$	9.73416	−	67.7026i	0.370037	−	2.57367i
$693$	39.0946	−	16.8805i	1.48508	−	0.641238i
$694$	9.77625	+	67.9953i	0.371101	+	2.58107i
$695$	−8.70197	+	5.59242i	−0.330085	+	0.212132i
$696$	2.25116	−	1.44673i	0.0853301	−	0.0548383i
$697$	4.63005	−	32.2027i	0.175375	−	1.21976i
$698$	−57.1635	+	36.7367i	−2.16367	+	1.39051i
$699$	−2.22621			−0.0842029
$700$	10.7275	+	12.3802i	0.405462	+	0.467928i
$701$	4.04213	+	28.1136i	0.152669	+	1.06184i	0.911722	+	0.410808i	$0.134753\pi$
$701$	4.04213	+	28.1136i	0.152669	+	1.06184i	−0.759053	+	0.651029i	$0.774338\pi$
$702$	5.26985	+	6.08173i	0.198898	+	0.229540i
$703$	−10.5025	−	22.9973i	−0.396110	−	0.867361i
$704$	25.3218	−	21.0358i	0.954350	−	0.792815i
$705$	0.0526461	−	0.115279i	0.00198277	−	0.00434165i
$706$	−81.5175	+	23.9357i	−3.06795	+	0.900832i
$707$	7.93443	−	55.1851i	0.298405	−	2.07545i
$708$	−0.455310	−	0.133691i	−0.0171116	−	0.00502442i
$709$	6.41541	+	44.6202i	0.240936	+	1.67575i	0.647455	+	0.762104i	$0.275833\pi$
$709$	6.41541	+	44.6202i	0.240936	+	1.67575i	−0.406519	+	0.913642i	$0.633258\pi$
$710$	3.58805	+	7.85673i	0.134657	+	0.294858i
$711$	19.5426	−	22.5534i	0.732905	−	0.845817i
$712$	−7.29033	+	8.41349i	−0.273217	+	0.315309i
$713$	31.8213	+	20.4503i	1.19172	+	0.765871i
$714$	3.81150	+	2.44950i	0.142642	+	0.0916702i
$715$	−19.0990	−	9.20689i	−0.714264	−	0.344318i
$716$	7.54287	−	4.84751i	0.281890	−	0.181160i
$717$	−0.475759			−0.0177676
$718$	−20.6152	−	23.7912i	−0.769353	−	0.887881i
$719$	4.67533	−	10.2375i	0.174360	−	0.381796i	−0.802195	−	0.597062i	$-0.796335\pi$
$719$	4.67533	−	10.2375i	0.174360	−	0.381796i	0.976555	+	0.215266i	$0.0690619\pi$
$720$	−8.44355	−	2.47925i	−0.314672	−	0.0923962i
$721$	6.53547	−	7.54234i	0.243394	−	0.280891i
$722$	−24.0654	−	15.4659i	−0.895620	−	0.575580i
$723$	0.978069			0.0363748
$724$	−53.3284	−	15.6586i	−1.98193	−	0.581948i
$725$	−7.00715			−0.260239
$726$	−0.423662	+	2.27158i	−0.0157236	+	0.0843061i
$727$	11.5990			0.430184			0.215092	−	0.976594i	$-0.430995\pi$
$727$	11.5990			0.430184			0.215092	+	0.976594i	$0.430995\pi$
$728$	−115.402	−	33.8852i	−4.27709	−	1.25587i
$729$	−26.5913			−0.984862
$730$	5.71856	+	3.67510i	0.211654	+	0.136021i
$731$	−16.8367	+	19.4305i	−0.622726	+	0.718664i
$732$	0.0893358	+	0.0262314i	0.00330195	+	0.000969539i
$733$	11.8512	−	25.9506i	0.437735	−	0.958507i	−0.554273	−	0.832335i	$-0.687004\pi$
$733$	11.8512	−	25.9506i	0.437735	−	0.958507i	0.992008	−	0.126172i	$-0.0402690\pi$
$734$	−26.0952	−	30.1155i	−0.963193	−	1.11158i
$735$	0.993672			0.0366521
$736$	−7.81990	+	5.02555i	−0.288245	+	0.185244i
$737$	−20.4964	−	33.4001i	−0.754995	−	1.23031i
$738$	39.2989	+	25.2559i	1.44661	+	0.929682i
$739$	37.8424	+	24.3198i	1.39205	+	0.894619i	0.999683	−	0.0251874i	$-0.00801826\pi$
$739$	37.8424	+	24.3198i	1.39205	+	0.894619i	0.392372	+	0.919807i	$0.371655\pi$
$740$	23.6558	−	27.3002i	0.869604	−	1.00358i
$741$	0.974236	−	1.12433i	0.0357895	−	0.0413032i
$742$	−50.7239	−	111.070i	−1.86213	−	4.07750i
$743$	−5.53967	−	38.5292i	−0.203231	−	1.41350i	−0.794616	−	0.607112i	$-0.792328\pi$
$743$	−5.53967	−	38.5292i	−0.203231	−	1.41350i	0.591386	−	0.806389i	$-0.298581\pi$
$744$	2.49995	+	0.734051i	0.0916526	+	0.0269116i
$745$	−1.42196	+	9.88993i	−0.0520965	+	0.362339i
$746$	56.1844	−	16.4972i	2.05706	−	0.604006i
$747$	2.53492	−	5.55069i	0.0927478	−	0.203089i
$748$	58.4373	−	25.2325i	2.13668	−	0.922590i
$749$	9.26332	+	20.2838i	0.338474	+	0.741155i
$750$	−0.137565	−	0.158759i	−0.00502317	−	0.00579705i
$751$	−3.92841	−	27.3227i	−0.143350	−	0.997020i	−0.926797	−	0.375562i	$-0.877450\pi$
$751$	−3.92841	−	27.3227i	−0.143350	−	0.997020i	0.783447	−	0.621458i	$-0.213459\pi$
$752$	−2.80233	−	3.23406i	−0.102190	−	0.117934i
$753$	1.98927			0.0724929
$754$	90.8952	−	58.4148i	3.31021	−	2.12734i
$755$	−0.339396	+	2.36055i	−0.0123519	+	0.0859093i
$756$	−7.19207	+	4.62206i	−0.261573	+	0.168103i
$757$	−4.38990	+	2.82122i	−0.159554	+	0.102539i	−0.617981	−	0.786193i	$-0.712049\pi$
$757$	−4.38990	+	2.82122i	−0.159554	+	0.102539i	0.458427	+	0.888732i	$0.348413\pi$
$758$	5.52341	+	38.4162i	0.200619	+	1.39534i
$759$	0.483031	−	1.52686i	0.0175329	−	0.0554216i
$760$	−1.66750	+	11.5977i	−0.0604866	+	0.420694i
$761$	−8.12926	−	17.8006i	−0.294685	−	0.645271i	0.703149	−	0.711042i	$-0.251777\pi$
$761$	−8.12926	−	17.8006i	−0.294685	−	0.645271i	−0.997835	+	0.0657712i	$0.979049\pi$
$762$	1.52234	+	0.978347i	0.0551485	+	0.0354418i
$763$	46.7877	−	30.0686i	1.69383	−	1.08856i
$764$	−1.44573	+	3.16570i	−0.0523046	+	0.114531i
$765$	12.6543	+	8.13239i	0.457515	+	0.294027i
$766$	33.1417			1.19746
$767$	−8.75369	−	2.57031i	−0.316077	−	0.0928087i
$768$	−1.69999	+	1.96189i	−0.0613430	+	0.0707936i
$769$	−18.6552	−	21.5292i	−0.672723	−	0.776363i	0.312077	−	0.950057i	$-0.398975\pi$
$769$	−18.6552	−	21.5292i	−0.672723	−	0.776363i	−0.984800	+	0.173693i	$0.944430\pi$
$770$	19.1535	−	28.4834i	0.690245	−	1.02647i
$771$	−0.632254	+	0.729661i	−0.0227701	+	0.0262781i
$772$	14.2810	+	99.3268i	0.513986	+	3.57485i
$773$	6.03149	−	1.77100i	0.216938	−	0.0636986i	−0.171458	−	0.985191i	$-0.554848\pi$
$773$	6.03149	−	1.77100i	0.216938	−	0.0636986i	0.388395	+	0.921493i	$0.373030\pi$
$774$	−15.3358	−	33.5808i	−0.551236	−	1.20704i
$775$	−4.46786	−	5.15619i	−0.160490	−	0.185216i
$776$	−0.0421994	+	0.293503i	−0.00151487	+	0.0105362i
$777$	−0.503160	−	3.49955i	−0.0180508	−	0.125546i
$778$	−34.3851	−	75.2929i	−1.23277	−	2.69938i
$779$	7.18426	−	15.7313i	0.257403	−	0.563633i
$780$	2.03955	+	0.598865i	0.0730275	+	0.0214428i
$781$	9.13542	−	7.58914i	0.326891	−	0.271561i
$782$	−64.4993	+	18.9387i	−2.30649	+	0.677247i
$783$	0.520437	−	3.61972i	0.0185989	−	0.129358i
$784$	13.9384	−	30.5207i	0.497798	−	1.09003i
$785$	−14.1657	+	4.15942i	−0.505595	+	0.148456i
$786$	3.14962	−	0.924811i	0.112343	−	0.0329869i
$787$	15.3381	−	4.50367i	0.546744	−	0.160539i	0.00331639	−	0.999995i	$-0.498944\pi$
$787$	15.3381	−	4.50367i	0.546744	−	0.160539i	0.543428	+	0.839456i	$0.317126\pi$
$788$	54.3655	−	15.9631i	1.93669	−	0.568664i
$789$	−0.0892741	+	0.195483i	−0.00317824	+	0.00695938i
$790$	3.42331	−	23.8096i	0.121796	−	0.847109i
$791$	−29.4751	+	8.65466i	−1.04801	+	0.307724i
$792$	−0.904871	+	43.5099i	−0.0321532	+	1.54606i
$793$	1.71755	+	0.504319i	0.0609920	+	0.0179089i
$794$	−5.88919	+	12.8955i	−0.209000	+	0.457645i
$795$	0.426857	+	0.934686i	0.0151390	+	0.0331499i
$796$	−14.1465	−	98.3913i	−0.501410	−	3.48739i
$797$	−1.07440	+	7.47264i	−0.0380573	+	0.264694i	−0.999962	−	0.00868978i	$-0.997234\pi$
$797$	−1.07440	+	7.47264i	−0.0380573	+	0.264694i	0.961905	+	0.273384i	$0.0881430\pi$
$798$	1.57718	+	1.82017i	0.0558317	+	0.0644332i
$799$	3.03864	+	6.65369i	0.107499	+	0.235391i
$800$	1.60870	−	0.472357i	0.0568762	−	0.0167004i
$801$	1.08120	+	7.51993i	0.0382024	+	0.265704i
$802$	7.09629	−	8.18956i	0.250579	−	0.289183i
$803$	2.81926	−	8.91168i	0.0994894	−	0.314486i
$804$	2.57280	+	2.96917i	0.0907356	+	0.104714i
$805$	−15.5780	+	17.9779i	−0.549052	+	0.633639i
$806$	100.940	+	29.6388i	3.55547	+	1.04398i
$807$	−0.0154743			−0.000544720
$808$	47.9330	+	30.8046i	1.68628	+	1.08370i
$809$	−1.00320	+	2.19670i	−0.0352706	+	0.0772318i	−0.926447	−	0.376425i	$-0.877153\pi$
$809$	−1.00320	+	2.19670i	−0.0352706	+	0.0772318i	0.891177	+	0.453656i	$0.149881\pi$
$810$	−18.1238	+	11.6475i	−0.636807	+	0.409251i
$811$	−7.00768	−	4.50356i	−0.246073	−	0.158141i	0.411791	−	0.911278i	$-0.364903\pi$
$811$	−7.00768	−	4.50356i	−0.246073	−	0.158141i	−0.657864	+	0.753137i	$0.728540\pi$
$812$	47.6841	+	104.414i	1.67339	+	3.66420i
$813$	−0.223172	+	1.55219i	−0.00782697	+	0.0544378i
$814$	−68.1817	−	32.8677i	−2.38977	−	1.15201i
$815$	1.33416	+	9.27930i	0.0467336	+	0.325040i
$816$	−1.08306	+	0.696038i	−0.0379146	+	0.0243662i
$817$	−11.4974	+	7.38891i	−0.402242	+	0.258505i
$818$	−8.18632	+	56.9371i	−0.286228	+	1.99076i
$819$	−69.0491	+	44.3752i	−2.41277	+	1.55059i
$820$	24.7102			0.862917
$821$	−23.9830	−	27.6778i	−0.837012	−	0.965963i	0.162774	−	0.986663i	$-0.447956\pi$
$821$	−23.9830	−	27.6778i	−0.837012	−	0.965963i	−0.999786	+	0.0207004i	$0.993410\pi$
$822$	0.0147716	+	0.102738i	0.000515217	+	0.00358341i
$823$	−9.05012	−	10.4444i	−0.315467	−	0.364069i	0.575765	−	0.817615i	$-0.304704\pi$
$823$	−9.05012	−	10.4444i	−0.315467	−	0.364069i	−0.891233	+	0.453546i	$0.850159\pi$
$824$	4.23694	+	9.27761i	0.147601	+	0.323201i
$825$	−0.161182	+	0.239696i	−0.00561165	+	0.00834514i
$826$	6.13549	−	13.4349i	0.213481	−	0.467458i
$827$	−5.05462	+	1.48417i	−0.175766	+	0.0516096i	−0.368431	−	0.929655i	$-0.620105\pi$
$827$	−5.05462	+	1.48417i	−0.175766	+	0.0516096i	0.192665	+	0.981265i	$0.438287\pi$
$828$	9.01450	−	62.6972i	0.313276	−	2.17888i
$829$	18.0986	+	5.31424i	0.628591	+	0.184571i	0.580485	−	0.814271i	$-0.302863\pi$
$829$	18.0986	+	5.31424i	0.628591	+	0.184571i	0.0481065	+	0.998842i	$0.484681\pi$
$830$	−0.699994	−	4.86857i	−0.0242972	−	0.168990i
$831$	0.209894	+	0.459604i	0.00728114	+	0.0159435i
$832$	−41.5522	+	47.9538i	−1.44056	+	1.66250i
$833$	−37.5582	+	43.3445i	−1.30131	+	1.50180i
$834$	−1.82800	−	1.17479i	−0.0632986	−	0.0406795i
$835$	6.47380	+	4.16046i	0.224035	+	0.143979i
$836$	33.5844	−	4.11794i	1.16154	−	0.142422i
$837$	2.99540	−	1.92503i	0.103536	−	0.0665386i
$838$	80.8554			2.79310
$839$	16.5084	+	19.0518i	0.569935	+	0.657740i	0.965410	−	0.260737i	$-0.0839656\pi$
$839$	16.5084	+	19.0518i	0.569935	+	0.657740i	−0.395475	+	0.918477i	$0.629420\pi$
$840$	−0.680679	+	1.49048i	−0.0234856	+	0.0514264i
$841$	−19.2860	−	5.66287i	−0.665033	−	0.195271i
$842$	−14.7075	+	16.9734i	−0.506855	+	0.584942i
$843$	0.738022	+	0.474298i	0.0254188	+	0.0163357i
$844$	−2.47783			−0.0852906
$845$	26.7385	+	7.85112i	0.919831	+	0.270087i
$846$	−10.5031			−0.361102
$847$	−44.6932	−	15.1682i	−1.53568	−	0.521185i
$848$	34.6965			1.19148
$849$	−0.601621	−	0.176652i	−0.0206476	−	0.00606268i
$850$	12.1247			0.415875
$851$	44.1293	+	28.3602i	1.51273	+	0.972175i
$852$	−0.779730	+	0.899857i	−0.0267131	+	0.0308286i
$853$	−5.24466	−	1.53997i	−0.179574	−	0.0527276i	0.190709	−	0.981647i	$-0.438921\pi$
$853$	−5.24466	−	1.53997i	−0.179574	−	0.0527276i	−0.370283	+	0.928919i	$0.620739\pi$
$854$	−1.20384	+	2.63604i	−0.0411945	+	0.0902034i
$855$	5.23628	+	6.04299i	0.179077	+	0.206666i
$856$	−22.7891			−0.778914
$857$	28.4193	−	18.2640i	0.970786	−	0.623886i	0.0438233	−	0.999039i	$-0.486046\pi$
$857$	28.4193	−	18.2640i	0.970786	−	0.623886i	0.926963	+	0.375153i	$0.122410\pi$
$858$	0.0926081	−	4.45297i	0.00316159	−	0.152022i
$859$	33.5956	+	21.5906i	1.14627	+	0.736661i	0.968892	−	0.247483i	$-0.0796034\pi$
$859$	33.5956	+	21.5906i	1.14627	+	0.736661i	0.177374	+	0.984144i	$0.443240\pi$
$860$	−16.4276	−	10.5574i	−0.560177	−	0.360004i
$861$	1.58377	−	1.82777i	0.0539748	−	0.0622903i
$862$	−13.1308	+	15.1538i	−0.447238	+	0.516140i
$863$	−19.3793	−	42.4348i	−0.659680	−	1.44450i	−0.882820	−	0.469711i	$-0.844358\pi$
$863$	−19.3793	−	42.4348i	−0.659680	−	1.44450i	0.223141	−	0.974786i	$-0.428369\pi$
$864$	0.124526	+	0.866099i	0.00423647	+	0.0294653i
$865$	−17.1894	−	5.04727i	−0.584458	−	0.171612i
$866$	−2.41976	+	16.8298i	−0.0822268	+	0.571900i
$867$	0.690926	−	0.202874i	0.0234651	−	0.00688997i
$868$	−46.4283	+	101.664i	−1.57588	+	3.45070i
$869$	−32.8297	+	4.02541i	−1.11367	+	0.136553i
$870$	−0.611481	−	1.33896i	−0.0207312	−	0.0453949i
$871$	49.4640	+	57.0846i	1.67603	+	1.93424i
$872$	8.08904	+	56.2605i	0.273930	+	1.90522i
$873$	0.132515	+	0.152930i	0.00448494	+	0.00517590i
$874$	−35.7337			−1.20871
$875$	3.60951	−	2.31969i	0.122024	−	0.0784199i
$876$	−0.133361	+	0.927548i	−0.00450586	+	0.0313389i
$877$	24.9269	−	16.0195i	0.841720	−	0.540941i	−0.0472619	−	0.998883i	$-0.515050\pi$
$877$	24.9269	−	16.0195i	0.841720	−	0.540941i	0.888982	+	0.457942i	$0.151413\pi$
$878$	62.7507	−	40.3274i	2.11773	−	1.36098i
$879$	0.179522	+	1.24860i	0.00605513	+	0.0421143i
$880$	5.10136	+	8.31298i	0.171967	+	0.280231i
$881$	7.41438	−	51.5681i	0.249797	−	1.73737i	−0.349579	−	0.936907i	$-0.613675\pi$
$881$	7.41438	−	51.5681i	0.249797	−	1.73737i	0.599376	−	0.800468i	$-0.295415\pi$
$882$	−34.2103	−	74.9100i	−1.15192	−	2.52235i
$883$	46.6571	+	29.9847i	1.57014	+	1.00906i	0.979334	+	0.202248i	$0.0648245\pi$
$883$	46.6571	+	29.9847i	1.57014	+	1.00906i	0.590801	+	0.806817i	$0.298812\pi$
$884$	−103.212	+	66.3305i	−3.47140	+	2.23094i
$885$	−0.0516320	+	0.113058i	−0.00173559	+	0.00380041i
$886$	51.7481	+	33.2565i	1.73851	+	1.11727i
$887$	13.0488			0.438136			0.219068	−	0.975710i	$-0.429698\pi$
$887$	13.0488			0.438136			0.219068	+	0.975710i	$0.429698\pi$
$888$	3.46689	+	1.01797i	0.116341	+	0.0341608i
$889$	−24.2044	+	27.9334i	−0.811791	+	0.936856i
$890$	4.01022	+	4.62804i	0.134423	+	0.155132i
$891$	21.9797	+	19.8605i	0.736347	+	0.665352i
$892$	6.76121	−	7.80285i	0.226382	−	0.261259i
$893$	0.553365	+	3.84874i	0.0185176	+	0.128793i
$894$	−2.01390	+	0.591334i	−0.0673549	+	0.0197772i
$895$	−0.975580	−	2.13622i	−0.0326100	−	0.0714060i
$896$	−57.8467	−	66.7587i	−1.93252	−	2.23025i
$897$	−0.439293	+	3.05535i	−0.0146676	+	0.102015i
$898$	4.87479	+	33.9049i	0.162674	+	1.13142i
$899$	−19.8598	−	43.4869i	−0.662361	−	1.45037i
$900$	−4.74606	+	10.3924i	−0.158202	+	0.346414i
$901$	−56.9055	−	16.7090i	−1.89580	−	0.556656i
$902$	−13.5509	−	49.9712i	−0.451195	−	1.66386i
$903$	−1.83382	+	0.538459i	−0.0610258	+	0.0179188i
$904$	4.46792	−	31.0751i	0.148601	−	1.03354i
$905$	−6.04742	+	13.2420i	−0.201023	+	0.440179i
$906$	−0.480682	+	0.141141i	−0.0159696	+	0.00468910i
$907$	17.6877	−	5.19357i	0.587309	−	0.172450i	0.0254410	−	0.999676i	$-0.491901\pi$
$907$	17.6877	−	5.19357i	0.587309	−	0.172450i	0.561868	+	0.827227i	$0.310083\pi$
$908$	78.5006	−	23.0499i	2.60514	−	0.764937i
$909$	37.3085	−	10.9548i	1.23744	−	0.363346i
$910$	−27.4838	+	60.1810i	−0.911077	+	1.99498i
$911$	−0.415070	+	2.88688i	−0.0137519	+	0.0956465i	−0.995541	−	0.0943254i	$-0.969931\pi$
$911$	−0.415070	+	2.88688i	−0.0137519	+	0.0956465i	0.981790	+	0.189972i	$0.0608397\pi$
$912$	−0.656645	+	0.192808i	−0.0217437	+	0.00638452i
$913$	−6.20917	+	2.68104i	−0.205493	+	0.0887293i
$914$	−7.58384	−	2.22682i	−0.250851	−	0.0736566i
$915$	0.0101306	−	0.0221830i	0.000334909	−	0.000733348i
$916$	−24.4462	−	53.5298i	−0.807727	−	1.76867i
$917$	9.54175	+	66.3644i	0.315096	+	2.19154i
$918$	−0.900532	+	6.26334i	−0.0297220	+	0.206721i
$919$	26.7764	+	30.9016i	0.883272	+	1.01935i	0.999658	+	0.0261459i	$0.00832346\pi$
$919$	26.7764	+	30.9016i	0.883272	+	1.01935i	−0.116386	+	0.993204i	$0.537131\pi$
$920$	−10.0992	−	22.1141i	−0.332960	−	0.729082i
$921$	−1.42685	+	0.418960i	−0.0470163	+	0.0138052i
$922$	−10.1989	−	70.9349i	−0.335883	−	2.33612i
$923$	−14.9909	+	17.3005i	−0.493432	+	0.569451i
$924$	4.66857	+	0.770635i	0.153585	+	0.0253520i
$925$	−6.19596	−	7.15051i	−0.203722	−	0.235107i
$926$	57.1810	−	65.9904i	1.87908	−	2.16858i
$927$	6.67837	+	1.96095i	0.219346	+	0.0644059i
$928$	11.7483			0.385657
$929$	−3.55773	−	2.28642i	−0.116725	−	0.0750148i	0.480976	−	0.876734i	$-0.340283\pi$
$929$	−3.55773	−	2.28642i	−0.116725	−	0.0750148i	−0.597701	+	0.801719i	$0.703919\pi$
$930$	0.595378	−	1.30370i	0.0195232	−	0.0427498i
$931$	−25.6476	+	16.4827i	−0.840567	+	0.540200i
$932$	82.1006	+	52.7629i	2.68930	+	1.72831i
$933$	−0.514318	−	1.12620i	−0.0168380	−	0.0368701i
$934$	−0.535397	+	3.72377i	−0.0175187	+	0.121845i
$935$	−4.36338	−	16.0907i	−0.142698	−	0.526223i
$936$	−11.9378	−	83.0291i	−0.390198	−	2.71389i
$937$	−27.8792	+	17.9169i	−0.910774	+	0.585319i	−0.909967	−	0.414681i	$-0.863893\pi$
$937$	−27.8792	+	17.9169i	−0.910774	+	0.585319i	−0.000806777		1.00000i	$0.500257\pi$
$938$	−102.869	+	66.1101i	−3.35880	+	2.15857i
$939$	0.0315891	−	0.219707i	0.00103087	−	0.00716986i
$940$	−4.67374	+	3.00363i	−0.152441	+	0.0979677i
$941$	13.9848			0.455893			0.227946	−	0.973674i	$-0.426799\pi$
$941$	13.9848			0.455893			0.227946	+	0.973674i	$0.426799\pi$
$942$	−2.03097	−	2.34387i	−0.0661726	−	0.0763673i
$943$	5.10668	+	35.5177i	0.166296	+	1.15662i
$944$	2.74835	+	3.17176i	0.0894511	+	0.103232i
$945$	0.930209	+	2.03687i	0.0302597	+	0.0662595i
$946$	−12.3414	+	39.0111i	−0.401252	+	1.26836i
$947$	−16.9238	+	37.0579i	−0.549948	+	1.20422i	0.406857	+	0.913492i	$0.366625\pi$
$947$	−16.9238	+	37.0579i	−0.549948	+	1.20422i	−0.956806	+	0.290728i	$0.906103\pi$
$948$	3.18168	−	0.934227i	0.103336	−	0.0303423i
$949$	−2.56397	+	17.8328i	−0.0832301	+	0.578878i
$950$	6.18413	+	1.81582i	0.200640	+	0.0589131i
$951$	−0.109403	−	0.760915i	−0.00354764	−	0.0246744i
$952$	−39.2875	−	86.0277i	−1.27332	−	2.78817i
$953$	−31.8358	+	36.7405i	−1.03126	+	1.19014i	−0.0497466	+	0.998762i	$0.515841\pi$
$953$	−31.8358	+	36.7405i	−1.03126	+	1.19014i	−0.981516	+	0.191379i	$0.938704\pi$
$954$	55.7674	−	64.3590i	1.80554	−	2.08370i
$955$	0.766836	+	0.492816i	0.0248142	+	0.0159471i
$956$	17.5456	+	11.2759i	0.567465	+	0.364688i
$957$	−1.55687	+	1.29335i	−0.0503266	+	0.0418082i
$958$	−35.4864	+	22.8057i	−1.14651	+	0.736819i
$959$	−2.12001			−0.0684587
$960$	0.566084	+	0.653296i	0.0182703	+	0.0210850i
$961$	6.45890	−	14.1430i	0.208352	−	0.456226i
$962$	139.982	+	41.1026i	4.51322	+	1.32520i
$963$	−10.1844	+	11.7534i	−0.328187	+	0.378747i
$964$	−36.0703	−	23.1810i	−1.16175	−	0.746610i
$965$	26.2833			0.846091
$966$	−4.79472	−	1.40786i	−0.154268	−	0.0452971i
$967$	−9.93318			−0.319429			−0.159715	−	0.987163i	$-0.551057\pi$
$967$	−9.93318			−0.319429			−0.159715	+	0.987163i	$0.551057\pi$
$968$	33.0750	−	35.1083i	1.06307	−	1.12842i
$969$	1.16981			0.0375797
$970$	0.156502	+	0.0459531i	0.00502497	+	0.00147546i
$971$	23.6953			0.760417			0.380208	−	0.924901i	$-0.375852\pi$
$971$	23.6953			0.760417			0.380208	+	0.924901i	$0.375852\pi$
$972$	−7.52712	−	4.83739i	−0.241433	−	0.155159i
$973$	29.0644	−	33.5421i	0.931761	−	1.07531i
$974$	81.1960	+	23.8413i	2.60169	+	0.763925i
$975$	0.231284	−	0.506441i	0.00740701	−	0.0162191i
$976$	−0.539250	−	0.622328i	−0.0172610	−	0.0199202i
$977$	−33.6205			−1.07562			−0.537808	−	0.843068i	$-0.680747\pi$
$977$	−33.6205			−1.07562			−0.537808	+	0.843068i	$0.680747\pi$
$978$	−1.65670	+	1.06470i	−0.0529755	+	0.0340453i
$979$	4.69870	−	6.98748i	0.150171	−	0.223321i
$980$	−36.6457	−	23.5508i	−1.17061	−	0.752302i
$981$	32.6311	+	20.9708i	1.04183	+	0.669545i
$982$	5.63385	−	6.50181i	0.179783	−	0.207481i
$983$	−4.17182	+	4.81453i	−0.133060	+	0.153560i	−0.818369	−	0.574693i	$-0.805122\pi$
$983$	−4.17182	+	4.81453i	−0.133060	+	0.153560i	0.685309	+	0.728252i	$0.259667\pi$
$984$	1.02676	+	2.24829i	0.0327318	+	0.0716727i
$985$	−2.11204	−	14.6896i	−0.0672953	−	0.468049i
$986$	81.5184	+	23.9360i	2.59607	+	0.762276i
$987$	−0.0773848	+	0.538223i	−0.00246319	+	0.0171318i
$988$	−62.5764	+	18.3741i	−1.99082	+	0.584558i
$989$	11.7799	−	25.7944i	0.374579	−	0.820215i
$990$	23.6192	+	3.89879i	0.750667	+	0.123912i
$991$	11.7215	+	25.6666i	0.372347	+	0.815326i	0.999341	+	0.0363016i	$0.0115577\pi$
$991$	11.7215	+	25.6666i	0.372347	+	0.815326i	−0.626994	+	0.779024i	$0.715715\pi$
$992$	7.49089	+	8.64495i	0.237836	+	0.274477i
$993$	0.0135246	+	0.0940654i	0.000429189	+	0.00298507i
$994$	−24.2687	−	28.0076i	−0.769756	−	0.888346i
$995$	−26.0358			−0.825390
$996$	0.570414	−	0.366583i	0.0180743	−	0.0116156i
$997$	−2.91942	+	20.3050i	−0.0924590	+	0.643066i	0.889913	+	0.456130i	$0.150765\pi$
$997$	−2.91942	+	20.3050i	−0.0924590	+	0.643066i	−0.982372	+	0.186936i	$0.940144\pi$
$998$	13.6080	−	8.74532i	0.430753	−	0.276828i
$999$	4.15397	−	2.66959i	0.131426	−	0.0844622i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	605.2.k.b.56.2	✓	220
121.67	even	11	inner	605.2.k.b.551.2	yes	220

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
605.2.k.b.56.2	✓	220	1.1	even	1	trivial
605.2.k.b.551.2	yes	220	121.67	even	11	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:	\( N \)	\(=\)	\( 605 = 5 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	605.k (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.31434 - 0.679550i) q^{2} -0.0870913 q^{3} +(3.21185 + 2.06413i) q^{4} +(0.654861 - 0.755750i) q^{5} +(0.201559 + 0.0591829i) q^{6} +(-1.78239 + 3.90290i) q^{7} +(-2.87152 - 3.31392i) q^{8} -2.99242 q^{9} +O(q^{10})\)	\(q+(-2.31434 - 0.679550i) q^{2} -0.0870913 q^{3} +(3.21185 + 2.06413i) q^{4} +(0.654861 - 0.755750i) q^{5} +(0.201559 + 0.0591829i) q^{6} +(-1.78239 + 3.90290i) q^{7} +(-2.87152 - 3.31392i) q^{8} -2.99242 q^{9} +(-2.02914 + 1.30405i) q^{10} +(2.46084 + 2.22357i) q^{11} +(-0.279725 - 0.179768i) q^{12} +(-5.37793 - 3.45618i) q^{13} +(6.77727 - 7.82139i) q^{14} +(-0.0570327 + 0.0658192i) q^{15} +(1.22164 + 2.67502i) q^{16} +(-0.715382 - 4.97559i) q^{17} +(6.92545 + 2.03350i) q^{18} +(0.380279 - 2.64490i) q^{19} +(3.66328 - 1.07564i) q^{20} +(0.155231 - 0.339909i) q^{21} +(-4.18417 - 6.81836i) q^{22} +(2.30315 + 5.04320i) q^{23} +(0.250085 + 0.288613i) q^{24} +(-0.142315 - 0.989821i) q^{25} +(10.0977 + 11.6533i) q^{26} +0.521887 q^{27} +(-13.7809 + 8.85644i) q^{28} +(0.997222 - 6.93583i) q^{29} +(0.176720 - 0.113571i) q^{30} +(5.73955 - 3.68858i) q^{31} +(0.238607 + 1.65955i) q^{32} +(-0.214318 - 0.193654i) q^{33} +(-1.72553 + 12.0013i) q^{34} +(1.78239 + 3.90290i) q^{35} +(-9.61120 - 6.17674i) q^{36} +(7.95951 - 5.11527i) q^{37} +(-2.67744 + 5.86277i) q^{38} +(0.468371 + 0.301004i) q^{39} -4.38494 q^{40} +(6.20997 + 1.82341i) q^{41} +(-0.590242 + 0.681175i) q^{42} +(-3.34941 - 3.86542i) q^{43} +(3.31409 + 12.2213i) q^{44} +(-1.95962 + 2.26152i) q^{45} +(-1.90316 - 13.2368i) q^{46} +(-1.39621 + 0.409964i) q^{47} +(-0.106394 - 0.232971i) q^{48} +(-7.47165 - 8.62275i) q^{49} +(-0.343269 + 2.38749i) q^{50} +(0.0623036 + 0.433331i) q^{51} +(-10.1391 - 22.2015i) q^{52} +(4.90125 - 10.7322i) q^{53} +(-1.20782 - 0.354649i) q^{54} +(3.29197 - 0.403644i) q^{55} +(18.0521 - 5.30056i) q^{56} +(-0.0331190 + 0.230348i) q^{57} +(-7.02115 + 15.3742i) q^{58} +(1.36931 - 0.402067i) q^{59} +(-0.319040 + 0.0936787i) q^{60} +(-0.268672 + 0.0788891i) q^{61} +(-15.7898 + 4.63631i) q^{62} +(5.33366 - 11.6791i) q^{63} +(1.41256 - 9.82458i) q^{64} +(-6.13380 + 1.80105i) q^{65} +(0.364405 + 0.593820i) q^{66} +(-11.3369 - 3.32882i) q^{67} +(7.97258 - 17.4575i) q^{68} +(-0.200585 - 0.439219i) q^{69} +(-1.47284 - 10.2438i) q^{70} +(0.509615 - 3.54445i) q^{71} +(8.59279 + 9.91661i) q^{72} +(-1.17073 - 2.56355i) q^{73} +(-21.8971 + 6.42956i) q^{74} +(0.0123944 + 0.0862049i) q^{75} +(6.68083 - 7.71008i) q^{76} +(-13.0646 + 5.64111i) q^{77} +(-0.879420 - 1.01490i) q^{78} +(-6.53071 + 7.53684i) q^{79} +(2.82165 + 0.828511i) q^{80} +8.93179 q^{81} +(-13.1328 - 8.43997i) q^{82} +(-0.847114 + 1.85492i) q^{83} +(1.20020 - 0.771319i) q^{84} +(-4.22878 - 2.71767i) q^{85} +(5.12491 + 11.2220i) q^{86} +(-0.0868494 + 0.604051i) q^{87} +(0.302388 - 14.5401i) q^{88} +(-0.361314 - 2.51300i) q^{89} +(6.07202 - 3.90225i) q^{90} +(23.0747 - 14.8292i) q^{91} +(-3.01245 + 20.9521i) q^{92} +(-0.499865 + 0.321244i) q^{93} +3.50989 q^{94} +(-1.74985 - 2.01944i) q^{95} +(-0.0207806 - 0.144533i) q^{96} +(-0.0442835 - 0.0511059i) q^{97} +(11.4323 + 25.0333i) q^{98} +(-7.36384 - 6.65386i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 220 q - 2 q^{2} - 24 q^{4} + 22 q^{5} + 8 q^{6} + 4 q^{7} - 6 q^{8} + 212 q^{9}+O(q^{10}) \) 220 * q - 2 * q^2 - 24 * q^4 + 22 * q^5 + 8 * q^6 + 4 * q^7 - 6 * q^8 + 212 * q^9	\( 220 q - 2 q^{2} - 24 q^{4} + 22 q^{5} + 8 q^{6} + 4 q^{7} - 6 q^{8} + 212 q^{9} + 2 q^{10} - 2 q^{11} + 49 q^{12} + 8 q^{13} - 40 q^{14} + 11 q^{15} - 28 q^{16} - 8 q^{17} - 10 q^{18} + 24 q^{20} - 22 q^{21} - 79 q^{22} - 31 q^{23} - 36 q^{24} - 22 q^{25} - 6 q^{26} - 6 q^{27} + 4 q^{28} - 4 q^{29} - 19 q^{30} + 20 q^{31} - 104 q^{32} - 12 q^{34} - 4 q^{35} - 30 q^{36} - 93 q^{37} + 8 q^{38} + 16 q^{39} + 6 q^{40} - 12 q^{41} - 8 q^{42} - 43 q^{43} + 9 q^{44} + 30 q^{45} - 124 q^{46} - 42 q^{47} - 158 q^{48} - 38 q^{49} - 2 q^{50} + 27 q^{51} + 146 q^{52} + 74 q^{53} + 93 q^{54} + 2 q^{55} + 25 q^{56} - 55 q^{57} + 26 q^{58} + 10 q^{59} - 16 q^{60} - 4 q^{61} - 33 q^{62} + 20 q^{63} + 32 q^{64} - 8 q^{65} - 69 q^{66} - 47 q^{67} - 24 q^{68} - 82 q^{69} - 15 q^{70} + 2 q^{71} - 294 q^{72} + 30 q^{73} - 112 q^{74} + 132 q^{76} + 136 q^{77} - 115 q^{78} + 58 q^{79} + 28 q^{80} + 220 q^{81} + 32 q^{82} - 164 q^{83} - 32 q^{84} + 41 q^{85} - 34 q^{86} - 76 q^{87} + 115 q^{88} - 44 q^{89} + 54 q^{90} - 60 q^{91} + 140 q^{92} - 68 q^{93} - 74 q^{94} - 44 q^{95} + 140 q^{96} - 39 q^{97} + 182 q^{98} - 274 q^{99}+O(q^{100}) \) 220 * q - 2 * q^2 - 24 * q^4 + 22 * q^5 + 8 * q^6 + 4 * q^7 - 6 * q^8 + 212 * q^9 + 2 * q^10 - 2 * q^11 + 49 * q^12 + 8 * q^13 - 40 * q^14 + 11 * q^15 - 28 * q^16 - 8 * q^17 - 10 * q^18 + 24 * q^20 - 22 * q^21 - 79 * q^22 - 31 * q^23 - 36 * q^24 - 22 * q^25 - 6 * q^26 - 6 * q^27 + 4 * q^28 - 4 * q^29 - 19 * q^30 + 20 * q^31 - 104 * q^32 - 12 * q^34 - 4 * q^35 - 30 * q^36 - 93 * q^37 + 8 * q^38 + 16 * q^39 + 6 * q^40 - 12 * q^41 - 8 * q^42 - 43 * q^43 + 9 * q^44 + 30 * q^45 - 124 * q^46 - 42 * q^47 - 158 * q^48 - 38 * q^49 - 2 * q^50 + 27 * q^51 + 146 * q^52 + 74 * q^53 + 93 * q^54 + 2 * q^55 + 25 * q^56 - 55 * q^57 + 26 * q^58 + 10 * q^59 - 16 * q^60 - 4 * q^61 - 33 * q^62 + 20 * q^63 + 32 * q^64 - 8 * q^65 - 69 * q^66 - 47 * q^67 - 24 * q^68 - 82 * q^69 - 15 * q^70 + 2 * q^71 - 294 * q^72 + 30 * q^73 - 112 * q^74 + 132 * q^76 + 136 * q^77 - 115 * q^78 + 58 * q^79 + 28 * q^80 + 220 * q^81 + 32 * q^82 - 164 * q^83 - 32 * q^84 + 41 * q^85 - 34 * q^86 - 76 * q^87 + 115 * q^88 - 44 * q^89 + 54 * q^90 - 60 * q^91 + 140 * q^92 - 68 * q^93 - 74 * q^94 - 44 * q^95 + 140 * q^96 - 39 * q^97 + 182 * q^98 - 274 * q^99

Introduction

L-functions

Modular forms

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