LMFDB - Embedded newform 731.2.k.b.35.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [731,2,Mod(35,731)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(731, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 6]))

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

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

chi := DirichletCharacter("731.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 731 = 17 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	731.k (of order $7$, degree $6$, 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:	$5.83706438776$
Analytic rank:	$0$
Dimension:	$180$
Relative dimension:	$30$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			35.8
Character	$\chi$	$=$	731.35
Dual form			731.2.k.b.188.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.335627 + 1.47048i) q^{2} +(-0.201066 - 0.880929i) q^{3} +(-0.247722 - 0.119297i) q^{4} +(-1.49293 + 1.87208i) q^{5} +1.36287 q^{6} +3.95170 q^{7} +(-1.62225 + 2.03423i) q^{8} +(1.96730 - 0.947401i) q^{9} +O(q^{10})$	\(q+(-0.335627 + 1.47048i) q^{2} +(-0.201066 - 0.880929i) q^{3} +(-0.247722 - 0.119297i) q^{4} +(-1.49293 + 1.87208i) q^{5} +1.36287 q^{6} +3.95170 q^{7} +(-1.62225 + 2.03423i) q^{8} +(1.96730 - 0.947401i) q^{9} +(-2.25178 - 2.82365i) q^{10} +(2.02118 - 0.973350i) q^{11} +(-0.0552833 + 0.242212i) q^{12} +(1.72069 - 2.15767i) q^{13} +(-1.32630 + 5.81088i) q^{14} +(1.94935 + 0.938756i) q^{15} +(-2.78968 - 3.49815i) q^{16} +(-0.623490 - 0.781831i) q^{17} +(0.732854 + 3.21084i) q^{18} +(3.36027 + 1.61822i) q^{19} +(0.593165 - 0.285653i) q^{20} +(-0.794552 - 3.48116i) q^{21} +(0.752927 + 3.29879i) q^{22} +(-0.868322 + 0.418162i) q^{23} +(2.11819 + 1.02007i) q^{24} +(-0.163226 - 0.715139i) q^{25} +(2.59530 + 3.25440i) q^{26} +(-2.92028 - 3.66191i) q^{27} +(-0.978921 - 0.471424i) q^{28} +(0.474521 - 2.07901i) q^{29} +(-2.03467 + 2.55140i) q^{30} +(-0.600695 + 2.63182i) q^{31} +(1.39182 - 0.670264i) q^{32} +(-1.26384 - 1.58481i) q^{33} +(1.35893 - 0.654424i) q^{34} +(-5.89962 + 7.39789i) q^{35} -0.600365 q^{36} +6.44441 q^{37} +(-3.50735 + 4.39808i) q^{38} +(-2.24673 - 1.08197i) q^{39} +(-1.38634 - 6.07395i) q^{40} +(-1.92207 + 8.42114i) q^{41} +5.38564 q^{42} +(0.0774838 + 6.55698i) q^{43} -0.616809 q^{44} +(-1.16344 + 5.09735i) q^{45} +(-0.323466 - 1.41720i) q^{46} +(-7.42309 - 3.57477i) q^{47} +(-2.52071 + 3.16087i) q^{48} +8.61590 q^{49} +1.10638 q^{50} +(-0.563375 + 0.706450i) q^{51} +(-0.683655 + 0.329231i) q^{52} +(1.35665 + 1.70119i) q^{53} +(6.36488 - 3.06516i) q^{54} +(-1.19530 + 5.23696i) q^{55} +(-6.41062 + 8.03867i) q^{56} +(0.749899 - 3.28552i) q^{57} +(2.89788 + 1.39554i) q^{58} +(5.89899 + 7.39710i) q^{59} +(-0.370905 - 0.465101i) q^{60} +(0.373310 + 1.63558i) q^{61} +(-3.66842 - 1.76662i) q^{62} +(7.77417 - 3.74384i) q^{63} +(-1.47278 - 6.45265i) q^{64} +(1.47046 + 6.44252i) q^{65} +(2.75461 - 1.32655i) q^{66} +(-3.62965 - 1.74795i) q^{67} +(0.0611822 + 0.268057i) q^{68} +(0.542961 + 0.680852i) q^{69} +(-8.89836 - 11.1582i) q^{70} +(2.80094 + 1.34886i) q^{71} +(-1.26421 + 5.53886i) q^{72} +(2.74129 - 3.43747i) q^{73} +(-2.16292 + 9.47636i) q^{74} +(-0.597167 + 0.287581i) q^{75} +(-0.639364 - 0.801737i) q^{76} +(7.98710 - 3.84638i) q^{77} +(2.34507 - 2.94063i) q^{78} -10.7391 q^{79} +10.7136 q^{80} +(1.44553 - 1.81263i) q^{81} +(-11.7380 - 5.65273i) q^{82} +(-0.141720 - 0.620914i) q^{83} +(-0.218463 + 0.957147i) q^{84} +2.39448 q^{85} +(-9.66790 - 2.08676i) q^{86} -1.92687 q^{87} +(-1.29884 + 5.69057i) q^{88} +(-0.739618 - 3.24048i) q^{89} +(-7.10505 - 3.42161i) q^{90} +(6.79963 - 8.52647i) q^{91} +0.264988 q^{92} +2.43922 q^{93} +(7.74802 - 9.71570i) q^{94} +(-8.04609 + 3.87479i) q^{95} +(-0.870302 - 1.09132i) q^{96} +(-5.47622 + 2.63721i) q^{97} +(-2.89173 + 12.6695i) q^{98} +(3.05412 - 3.82974i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 180 q + 2 q^{3} - 34 q^{4} + 2 q^{5} + 6 q^{6} - 54 q^{7} + 14 q^{8} - 18 q^{9}+O(q^{10}) $ 180 * q + 2 * q^3 - 34 * q^4 + 2 * q^5 + 6 * q^6 - 54 * q^7 + 14 * q^8 - 18 * q^9	\( 180 q + 2 q^{3} - 34 q^{4} + 2 q^{5} + 6 q^{6} - 54 q^{7} + 14 q^{8} - 18 q^{9} - 8 q^{10} + 4 q^{11} - 4 q^{12} - 5 q^{13} + 24 q^{14} + 11 q^{15} - 58 q^{16} + 30 q^{17} - 84 q^{18} - 4 q^{20} - 28 q^{21} - 49 q^{22} - 23 q^{23} - 6 q^{24} - 14 q^{25} + 14 q^{26} + 20 q^{27} - 14 q^{28} - 60 q^{29} - 5 q^{30} + 36 q^{31} + 39 q^{32} - 39 q^{33} - 14 q^{35} + 224 q^{36} - 184 q^{37} + 32 q^{38} + 58 q^{39} + 22 q^{40} - 48 q^{41} - 58 q^{42} + 2 q^{43} + 134 q^{44} - 54 q^{45} - 5 q^{46} - 35 q^{47} + 44 q^{48} + 174 q^{49} - 70 q^{50} - 2 q^{51} - 22 q^{52} + 8 q^{53} + 70 q^{54} + 51 q^{55} - 61 q^{56} + 72 q^{57} + 29 q^{58} + 35 q^{59} + 96 q^{60} - 40 q^{61} + 20 q^{62} - 35 q^{63} - 18 q^{64} - 17 q^{65} - 218 q^{66} + 16 q^{67} + 27 q^{68} + 50 q^{69} + 72 q^{70} - 20 q^{71} - 143 q^{72} - 4 q^{73} - 35 q^{74} - 45 q^{75} - 148 q^{76} + 40 q^{77} - 220 q^{78} - 12 q^{79} - 222 q^{80} + 12 q^{81} + 50 q^{82} + 16 q^{83} - 170 q^{84} - 2 q^{85} + 108 q^{86} + 78 q^{87} - 14 q^{88} + 55 q^{89} + 105 q^{90} - 53 q^{91} - 28 q^{92} - 142 q^{93} + 108 q^{94} - 49 q^{95} - 148 q^{96} + 73 q^{97} + 6 q^{98} - 73 q^{99}+O(q^{100}) \) 180 * q + 2 * q^3 - 34 * q^4 + 2 * q^5 + 6 * q^6 - 54 * q^7 + 14 * q^8 - 18 * q^9 - 8 * q^10 + 4 * q^11 - 4 * q^12 - 5 * q^13 + 24 * q^14 + 11 * q^15 - 58 * q^16 + 30 * q^17 - 84 * q^18 - 4 * q^20 - 28 * q^21 - 49 * q^22 - 23 * q^23 - 6 * q^24 - 14 * q^25 + 14 * q^26 + 20 * q^27 - 14 * q^28 - 60 * q^29 - 5 * q^30 + 36 * q^31 + 39 * q^32 - 39 * q^33 - 14 * q^35 + 224 * q^36 - 184 * q^37 + 32 * q^38 + 58 * q^39 + 22 * q^40 - 48 * q^41 - 58 * q^42 + 2 * q^43 + 134 * q^44 - 54 * q^45 - 5 * q^46 - 35 * q^47 + 44 * q^48 + 174 * q^49 - 70 * q^50 - 2 * q^51 - 22 * q^52 + 8 * q^53 + 70 * q^54 + 51 * q^55 - 61 * q^56 + 72 * q^57 + 29 * q^58 + 35 * q^59 + 96 * q^60 - 40 * q^61 + 20 * q^62 - 35 * q^63 - 18 * q^64 - 17 * q^65 - 218 * q^66 + 16 * q^67 + 27 * q^68 + 50 * q^69 + 72 * q^70 - 20 * q^71 - 143 * q^72 - 4 * q^73 - 35 * q^74 - 45 * q^75 - 148 * q^76 + 40 * q^77 - 220 * q^78 - 12 * q^79 - 222 * q^80 + 12 * q^81 + 50 * q^82 + 16 * q^83 - 170 * q^84 - 2 * q^85 + 108 * q^86 + 78 * q^87 - 14 * q^88 + 55 * q^89 + 105 * q^90 - 53 * q^91 - 28 * q^92 - 142 * q^93 + 108 * q^94 - 49 * q^95 - 148 * q^96 + 73 * q^97 + 6 * q^98 - 73 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/731\mathbb{Z}\right)^\times$.

$n$	$173$	$562$
$\chi(n)$	$1$	$e\left(\frac{3}{7}\right)$

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 $

$2$	−0.335627	+	1.47048i	−0.237324	+	1.03978i	0.706078	+	0.708134i	$0.250463\pi$
$2$	−0.335627	+	1.47048i	−0.237324	+	1.03978i	−0.943402	+	0.331651i	$0.892394\pi$
$3$	−0.201066	−	0.880929i	−0.116086	−	0.508604i	−0.999220	−	0.0394846i	$-0.987428\pi$
$3$	−0.201066	−	0.880929i	−0.116086	−	0.508604i	0.883135	−	0.469120i	$-0.155429\pi$
$4$	−0.247722	−	0.119297i	−0.123861	−	0.0596483i
$5$	−1.49293	+	1.87208i	−0.667660	+	0.837219i	−0.994153	−	0.107980i	$-0.965562\pi$
$5$	−1.49293	+	1.87208i	−0.667660	+	0.837219i	0.326493	+	0.945200i	$0.394133\pi$
$6$	1.36287			0.556389
$7$	3.95170			1.49360			0.746800	−	0.665048i	$-0.231589\pi$
$7$	3.95170			1.49360			0.746800	+	0.665048i	$0.231589\pi$
$8$	−1.62225	+	2.03423i	−0.573551	+	0.719210i
$9$	1.96730	−	0.947401i	0.655766	−	0.315800i
$10$	−2.25178	−	2.82365i	−0.712076	−	0.892915i
$11$	2.02118	−	0.973350i	0.609410	−	0.293476i	−0.103613	−	0.994618i	$-0.533040\pi$
$11$	2.02118	−	0.973350i	0.609410	−	0.293476i	0.713022	+	0.701142i	$0.247326\pi$
$12$	−0.0552833	+	0.242212i	−0.0159589	+	0.0699205i
$13$	1.72069	−	2.15767i	0.477233	−	0.598431i	−0.483693	−	0.875238i	$-0.660705\pi$
$13$	1.72069	−	2.15767i	0.477233	−	0.598431i	0.960926	+	0.276807i	$0.0892763\pi$
$14$	−1.32630	+	5.81088i	−0.354467	+	1.55302i
$15$	1.94935	+	0.938756i	0.503319	+	0.242386i
$16$	−2.78968	−	3.49815i	−0.697421	−	0.874538i
$17$	−0.623490	−	0.781831i	−0.151218	−	0.189622i
$17$	−0.623490	−	0.781831i	−0.151218	−	0.189622i
$18$	0.732854	+	3.21084i	0.172735	+	0.756803i
$19$	3.36027	+	1.61822i	0.770898	+	0.371245i	0.777622	−	0.628732i	$-0.216426\pi$
$19$	3.36027	+	1.61822i	0.770898	+	0.371245i	−0.00672364	+	0.999977i	$0.502140\pi$
$20$	0.593165	−	0.285653i	0.132636	−	0.0638740i
$21$	−0.794552	−	3.48116i	−0.173386	−	0.759652i
$22$	0.752927	+	3.29879i	0.160524	+	0.703304i
$23$	−0.868322	+	0.418162i	−0.181058	+	0.0871928i	−0.522217	−	0.852813i	$-0.674895\pi$
$23$	−0.868322	+	0.418162i	−0.181058	+	0.0871928i	0.341159	+	0.940006i	$0.389181\pi$
$24$	2.11819	+	1.02007i	0.432374	+	0.208220i
$25$	−0.163226	−	0.715139i	−0.0326452	−	0.143028i
$26$	2.59530	+	3.25440i	0.508980	+	0.638241i
$27$	−2.92028	−	3.66191i	−0.562007	−	0.704735i
$28$	−0.978921	−	0.471424i	−0.184999	−	0.0890907i
$29$	0.474521	−	2.07901i	0.0881163	−	0.386063i	−0.911569	−	0.411147i	$-0.865128\pi$
$29$	0.474521	−	2.07901i	0.0881163	−	0.386063i	0.999685	+	0.0250843i	$0.00798541\pi$
$30$	−2.03467	+	2.55140i	−0.371479	+	0.465820i
$31$	−0.600695	+	2.63182i	−0.107888	+	0.472688i	0.891903	+	0.452228i	$0.149370\pi$
$31$	−0.600695	+	2.63182i	−0.107888	+	0.472688i	−0.999791	+	0.0204609i	$0.993487\pi$
$32$	1.39182	−	0.670264i	0.246041	−	0.118487i
$33$	−1.26384	−	1.58481i	−0.220007	−	0.275880i
$34$	1.35893	−	0.654424i	0.233054	−	0.112233i
$35$	−5.89962	+	7.39789i	−0.997217	+	1.25047i
$36$	−0.600365			−0.100061
$37$	6.44441			1.05945			0.529727	−	0.848168i	$-0.322294\pi$
$37$	6.44441			1.05945			0.529727	+	0.848168i	$0.322294\pi$
$38$	−3.50735	+	4.39808i	−0.568968	+	0.713463i
$39$	−2.24673	−	1.08197i	−0.359764	−	0.173253i
$40$	−1.38634	−	6.07395i	−0.219199	−	0.960376i
$41$	−1.92207	+	8.42114i	−0.300177	+	1.31516i	0.569683	+	0.821864i	$0.307066\pi$
$41$	−1.92207	+	8.42114i	−0.300177	+	1.31516i	−0.869861	+	0.493298i	$0.835791\pi$
$42$	5.38564			0.831023
$43$	0.0774838	+	6.55698i	0.0118162	+	0.999930i
$43$	0.0774838	+	6.55698i	0.0118162	+	0.999930i
$44$	−0.616809			−0.0929874
$45$	−1.16344	+	5.09735i	−0.173435	+	0.759868i
$46$	−0.323466	−	1.41720i	−0.0476924	−	0.208954i
$47$	−7.42309	−	3.57477i	−1.08277	−	0.521434i	−0.194568	−	0.980889i	$-0.562331\pi$
$47$	−7.42309	−	3.57477i	−1.08277	−	0.521434i	−0.888201	+	0.459455i	$0.848045\pi$
$48$	−2.52071	+	3.16087i	−0.363833	+	0.456232i
$49$	8.61590			1.23084
$50$	1.10638			0.156466
$51$	−0.563375	+	0.706450i	−0.0788883	+	0.0989228i
$52$	−0.683655	+	0.329231i	−0.0948058	+	0.0456561i
$53$	1.35665	+	1.70119i	0.186350	+	0.233676i	0.866227	−	0.499650i	$-0.166538\pi$
$53$	1.35665	+	1.70119i	0.186350	+	0.233676i	−0.679877	+	0.733326i	$0.737967\pi$
$54$	6.36488	−	3.06516i	0.866150	−	0.417116i
$55$	−1.19530	+	5.23696i	−0.161175	+	0.706152i
$56$	−6.41062	+	8.03867i	−0.856656	+	1.07421i
$57$	0.749899	−	3.28552i	0.0993266	−	0.435178i
$58$	2.89788	+	1.39554i	0.380510	+	0.183244i
$59$	5.89899	+	7.39710i	0.767983	+	0.963020i	0.999953	−	0.00970310i	$-0.00308864\pi$
$59$	5.89899	+	7.39710i	0.767983	+	0.963020i	−0.231970	+	0.972723i	$0.574517\pi$
$60$	−0.370905	−	0.465101i	−0.0478837	−	0.0600442i
$61$	0.373310	+	1.63558i	0.0477974	+	0.209414i	0.993188	−	0.116527i	$-0.0371761\pi$
$61$	0.373310	+	1.63558i	0.0477974	+	0.209414i	−0.945390	+	0.325941i	$0.894319\pi$
$62$	−3.66842	−	1.76662i	−0.465890	−	0.224361i
$63$	7.77417	−	3.74384i	0.979453	−	0.471680i
$64$	−1.47278	−	6.45265i	−0.184097	−	0.806581i
$65$	1.47046	+	6.44252i	0.182389	+	0.799097i
$66$	2.75461	−	1.32655i	0.339069	−	0.163287i
$67$	−3.62965	−	1.74795i	−0.443433	−	0.213546i	0.198825	−	0.980035i	$-0.436288\pi$
$67$	−3.62965	−	1.74795i	−0.443433	−	0.213546i	−0.642257	+	0.766489i	$0.722002\pi$
$68$	0.0611822	+	0.268057i	0.00741944	+	0.0325067i
$69$	0.542961	+	0.680852i	0.0653648	+	0.0819649i
$70$	−8.89836	−	11.1582i	−1.06356	−	1.33366i
$71$	2.80094	+	1.34886i	0.332410	+	0.160080i	0.592642	−	0.805466i	$-0.298085\pi$
$71$	2.80094	+	1.34886i	0.332410	+	0.160080i	−0.260232	+	0.965546i	$0.583799\pi$
$72$	−1.26421	+	5.53886i	−0.148989	+	0.652761i
$73$	2.74129	−	3.43747i	0.320844	−	0.402326i	−0.595087	−	0.803661i	$-0.702882\pi$
$73$	2.74129	−	3.43747i	0.320844	−	0.402326i	0.915931	+	0.401335i	$0.131454\pi$
$74$	−2.16292	+	9.47636i	−0.251434	+	1.10160i
$75$	−0.597167	+	0.287581i	−0.0689550	+	0.0332070i
$76$	−0.639364	−	0.801737i	−0.0733400	−	0.0919655i
$77$	7.98710	−	3.84638i	0.910214	−	0.438336i
$78$	2.34507	−	2.94063i	0.265527	−	0.332960i
$79$	−10.7391			−1.20824			−0.604121	−	0.796892i	$-0.706476\pi$
$79$	−10.7391			−1.20824			−0.604121	+	0.796892i	$0.706476\pi$
$80$	10.7136			1.19782
$81$	1.44553	−	1.81263i	0.160614	−	0.201404i
$82$	−11.7380	−	5.65273i	−1.29625	−	0.624239i
$83$	−0.141720	−	0.620914i	−0.0155558	−	0.0681542i	0.966554	−	0.256462i	$-0.0825569\pi$
$83$	−0.141720	−	0.620914i	−0.0155558	−	0.0681542i	−0.982110	+	0.188308i	$0.939700\pi$
$84$	−0.218463	+	0.957147i	−0.0238362	+	0.104433i
$85$	2.39448			0.259718
$86$	−9.66790	−	2.08676i	−1.04252	−	0.225021i
$87$	−1.92687			−0.206582
$88$	−1.29884	+	5.69057i	−0.138456	+	0.606617i
$89$	−0.739618	−	3.24048i	−0.0783994	−	0.343490i	0.920482	−	0.390786i	$-0.127797\pi$
$89$	−0.739618	−	3.24048i	−0.0783994	−	0.343490i	−0.998881	+	0.0472959i	$0.984940\pi$
$90$	−7.10505	−	3.42161i	−0.748939	−	0.360670i
$91$	6.79963	−	8.52647i	0.712795	−	0.893817i
$92$	0.264988			0.0276269
$93$	2.43922			0.252936
$94$	7.74802	−	9.71570i	0.799147	−	1.00210i
$95$	−8.04609	+	3.87479i	−0.825511	+	0.397545i
$96$	−0.870302	−	1.09132i	−0.0888249	−	0.111383i
$97$	−5.47622	+	2.63721i	−0.556025	+	0.267768i	−0.690724	−	0.723119i	$-0.742708\pi$
$97$	−5.47622	+	2.63721i	−0.556025	+	0.267768i	0.134698	+	0.990887i	$0.456994\pi$
$98$	−2.89173	+	12.6695i	−0.292109	+	1.27981i
$99$	3.05412	−	3.82974i	0.306950	−	0.384904i
$100$	−0.0448790	+	0.196628i	−0.00448790	+	0.0196628i
$101$	−2.78314	−	1.34029i	−0.276933	−	0.133364i	0.290262	−	0.956947i	$-0.406257\pi$
$101$	−2.78314	−	1.34029i	−0.276933	−	0.133364i	−0.567196	+	0.823583i	$0.691972\pi$
$102$	−0.849735	−	1.06553i	−0.0841363	−	0.105504i
$103$	−4.17580	−	5.23629i	−0.411454	−	0.515947i	0.532318	−	0.846545i	$-0.321321\pi$
$103$	−4.17580	−	5.23629i	−0.411454	−	0.515947i	−0.943772	+	0.330598i	$0.892750\pi$
$104$	1.59783	+	7.00056i	0.156680	+	0.686461i
$105$	7.70322	+	3.70968i	0.751758	+	0.362027i
$106$	−2.95689	+	1.42396i	−0.287198	+	0.138307i
$107$	−2.45836	−	10.7708i	−0.237659	−	1.04125i	−0.943107	−	0.332490i	$-0.892111\pi$
$107$	−2.45836	−	10.7708i	−0.237659	−	1.04125i	0.705448	−	0.708762i	$-0.250746\pi$
$108$	0.286563	+	1.25551i	0.0275745	+	0.120812i
$109$	−0.725380	+	0.349325i	−0.0694788	+	0.0334592i	−0.468300	−	0.883569i	$-0.655134\pi$
$109$	−0.725380	+	0.349325i	−0.0694788	+	0.0334592i	0.398822	+	0.917028i	$0.369419\pi$
$110$	−7.29966	−	3.51533i	−0.695995	−	0.335174i
$111$	−1.29575	−	5.67706i	−0.122987	−	0.538843i
$112$	−11.0240	−	13.8236i	−1.04167	−	1.30621i
$113$	−7.80175	−	9.78308i	−0.733926	−	0.920315i	0.265109	−	0.964218i	$-0.414592\pi$
$113$	−7.80175	−	9.78308i	−0.733926	−	0.920315i	−0.999036	+	0.0439037i	$0.986021\pi$
$114$	4.57960	+	2.20542i	0.428919	+	0.206557i
$115$	0.513515	−	2.24986i	0.0478855	−	0.209800i
$116$	−0.365568	+	0.458408i	−0.0339421	+	0.0425621i
$117$	1.34092	−	5.87497i	0.123968	−	0.543141i
$118$	−12.8571	+	6.19166i	−1.18359	+	0.569989i
$119$	−2.46384	−	3.08956i	−0.225860	−	0.283220i
$120$	−5.07197	+	2.44253i	−0.463005	+	0.222972i
$121$	−3.72062	+	4.66551i	−0.338238	+	0.424137i
$122$	−2.53037			−0.229089
$123$	7.80489			0.703743
$124$	0.462772	−	0.580298i	0.0415582	−	0.0521123i
$125$	−9.20427	−	4.43254i	−0.823255	−	0.396459i
$126$	2.89602	+	12.6883i	0.257998	+	1.13036i
$127$	2.17761	−	9.54072i	0.193231	−	0.846602i	−0.781622	−	0.623753i	$-0.785607\pi$
$127$	2.17761	−	9.54072i	0.193231	−	0.846602i	0.974853	−	0.222849i	$-0.0715356\pi$
$128$	13.0724			1.15545
$129$	5.76065	−	1.38664i	0.507197	−	0.122087i
$130$	−9.96712			−0.874174
$131$	1.56768	−	6.86844i	0.136969	−	0.600099i	−0.859123	−	0.511770i	$-0.828990\pi$
$131$	1.56768	−	6.86844i	0.136969	−	0.600099i	0.996091	−	0.0883291i	$-0.0281527\pi$
$132$	0.124019	+	0.543364i	0.0107945	+	0.0472938i
$133$	13.2788	+	6.39471i	1.15141	+	0.554492i
$134$	3.78853	−	4.75066i	0.327279	−	0.410395i
$135$	11.2152			0.965247
$136$	2.60188			0.223110
$137$	−2.81003	+	3.52367i	−0.240077	+	0.301048i	−0.887243	−	0.461302i	$-0.847383\pi$
$137$	−2.81003	+	3.52367i	−0.240077	+	0.301048i	0.647166	+	0.762349i	$0.275954\pi$
$138$	−1.18341	+	0.569900i	−0.100739	+	0.0485131i
$139$	−12.7900	−	16.0382i	−1.08483	−	1.36034i	−0.927942	−	0.372724i	$-0.878424\pi$
$139$	−12.7900	−	16.0382i	−1.08483	−	1.36034i	−0.156892	−	0.987616i	$-0.550147\pi$
$140$	2.34401	−	1.12881i	0.198105	−	0.0954022i
$141$	−1.65659	+	7.25798i	−0.139510	+	0.611232i
$142$	−2.92354	+	3.66601i	−0.245338	+	0.307644i
$143$	1.37765	−	6.03588i	0.115205	−	0.504746i
$144$	−8.80229	−	4.23896i	−0.733524	−	0.353247i
$145$	3.18365	+	3.99217i	0.264387	+	0.331531i
$146$	4.13468	+	5.18472i	0.342188	+	0.429090i
$147$	−1.73237	−	7.58999i	−0.142883	−	0.626012i
$148$	−1.59642	−	0.768796i	−0.131225	−	0.0631946i
$149$	15.5544	−	7.49061i	1.27427	−	0.613655i	0.330357	−	0.943856i	$-0.392831\pi$
$149$	15.5544	−	7.49061i	1.27427	−	0.613655i	0.943911	+	0.330201i	$0.107117\pi$
$150$	−0.222456	−	0.974641i	−0.0181634	−	0.0795791i
$151$	2.07070	+	9.07234i	0.168511	+	0.738296i	0.986594	+	0.163195i	$0.0521801\pi$
$151$	2.07070	+	9.07234i	0.168511	+	0.738296i	−0.818082	+	0.575101i	$0.804963\pi$
$152$	−8.74302	+	4.21041i	−0.709152	+	0.341510i
$153$	−1.96730	−	0.947401i	−0.159047	−	0.0765929i
$154$	2.97534	+	13.0358i	0.239759	+	1.05045i
$155$	−4.03017	−	5.05368i	−0.323711	−	0.405921i
$156$	0.427489	+	0.536054i	0.0342265	+	0.0429187i
$157$	15.8236	+	7.62023i	1.26286	+	0.608160i	0.940929	−	0.338604i	$-0.109955\pi$
$157$	15.8236	+	7.62023i	1.26286	+	0.608160i	0.321929	+	0.946764i	$0.395669\pi$
$158$	3.60433	−	15.7916i	0.286745	−	1.25631i
$159$	1.22585	−	1.53716i	0.0972161	−	0.121905i
$160$	−0.823104	+	3.60625i	−0.0650721	+	0.285099i
$161$	−3.43135	+	1.65245i	−0.270428	+	0.130231i
$162$	2.18028	+	2.73399i	0.171299	+	0.214802i
$163$	12.1185	−	5.83598i	0.949197	−	0.457109i	0.105792	−	0.994388i	$-0.466262\pi$
$163$	12.1185	−	5.83598i	0.949197	−	0.457109i	0.843404	+	0.537279i	$0.180548\pi$
$164$	1.48075	−	1.85681i	0.115627	−	0.144992i
$165$	4.85372			0.377862
$166$	0.960606			0.0745575
$167$	−2.58444	+	3.24079i	−0.199990	+	0.250780i	−0.871706	−	0.490029i	$-0.836986\pi$
$167$	−2.58444	+	3.24079i	−0.199990	+	0.250780i	0.671716	+	0.740809i	$0.265558\pi$
$168$	8.37045	+	4.03100i	0.645795	+	0.310998i
$169$	1.19798	+	5.24870i	0.0921525	+	0.403747i
$170$	−0.803652	+	3.52103i	−0.0616373	+	0.270051i
$171$	8.14375			0.622768
$172$	0.763031	−	1.63355i	0.0581806	−	0.124557i
$173$	−8.29464			−0.630629			−0.315315	−	0.948987i	$-0.602110\pi$
$173$	−8.29464			−0.630629			−0.315315	+	0.948987i	$0.602110\pi$
$174$	0.646710	−	2.83342i	0.0490269	−	0.214801i
$175$	−0.645019	−	2.82601i	−0.0487589	−	0.213626i
$176$	−9.04338	−	4.35506i	−0.681671	−	0.328275i
$177$	5.33023	−	6.68389i	0.400644	−	0.502392i
$178$	5.01329			0.375762
$179$	16.0853			1.20227			0.601134	−	0.799148i	$-0.294716\pi$
$179$	16.0853			1.20227			0.601134	+	0.799148i	$0.294716\pi$
$180$	0.896305	−	1.12393i	0.0668066	−	0.0837728i
$181$	−5.22065	+	2.51413i	−0.388048	+	0.186874i	−0.617727	−	0.786392i	$-0.711946\pi$
$181$	−5.22065	+	2.51413i	−0.388048	+	0.186874i	0.229680	+	0.973266i	$0.426232\pi$
$182$	10.2558	+	12.8604i	0.760213	+	0.953278i
$183$	1.36577	−	0.657719i	0.100960	−	0.0486200i
$184$	0.557994	−	2.44473i	0.0411359	−	0.180228i
$185$	−9.62107	+	12.0644i	−0.707355	+	0.886996i
$186$	−0.818669	+	3.58682i	−0.0600277	+	0.262999i
$187$	−2.02118	−	0.973350i	−0.147804	−	0.0711784i
$188$	1.41240	+	1.77110i	0.103010	+	0.129171i
$189$	−11.5400	−	14.4708i	−0.839414	−	1.05259i
$190$	−2.99731	−	13.1321i	−0.217448	−	0.952701i
$191$	18.5602	+	8.93811i	1.34297	+	0.646739i	0.960771	−	0.277342i	$-0.0894535\pi$
$191$	18.5602	+	8.93811i	1.34297	+	0.646739i	0.382196	+	0.924081i	$0.375168\pi$
$192$	−5.38820	+	2.59482i	−0.388860	+	0.187265i
$193$	−4.19953	−	18.3994i	−0.302289	−	1.32441i	−0.866662	−	0.498895i	$-0.833739\pi$
$193$	−4.19953	−	18.3994i	−0.302289	−	1.32441i	0.564373	−	0.825520i	$-0.309118\pi$
$194$	−2.03999	−	8.93777i	−0.146463	−	0.641695i
$195$	5.37974	−	2.59075i	0.385251	−	0.185527i
$196$	−2.13435	−	1.02785i	−0.152453	−	0.0734176i
$197$	5.13531	+	22.4993i	0.365875	+	1.60301i	0.737986	+	0.674817i	$0.235777\pi$
$197$	5.13531	+	22.4993i	0.365875	+	1.60301i	−0.372110	+	0.928189i	$0.621366\pi$
$198$	4.60651	+	5.77638i	0.327370	+	0.410509i
$199$	−9.22401	−	11.5665i	−0.653873	−	0.819931i	0.338788	−	0.940863i	$-0.389983\pi$
$199$	−9.22401	−	11.5665i	−0.653873	−	0.819931i	−0.992661	+	0.120932i	$0.961412\pi$
$200$	1.71955	+	0.828093i	0.121591	+	0.0585550i
$201$	−0.810017	+	3.54892i	−0.0571342	+	0.250321i
$202$	2.90497	−	3.64271i	0.204393	−	0.256301i
$203$	1.87516	−	8.21562i	0.131611	−	0.576624i
$204$	0.223837	−	0.107794i	0.0156717	−	0.00754712i
$205$	−12.8955	−	16.1705i	−0.900663	−	1.12940i
$206$	9.10136	−	4.38298i	0.634122	−	0.305377i
$207$	−1.31208	+	1.64530i	−0.0911960	+	0.114356i
$208$	−12.3480			−0.856182
$209$	8.36681			0.578744
$210$	−8.04041	+	10.0824i	−0.554841	+	0.695748i
$211$	−9.06115	−	4.36362i	−0.623795	−	0.300404i	0.0951583	−	0.995462i	$-0.469664\pi$
$211$	−9.06115	−	4.36362i	−0.623795	−	0.300404i	−0.718953	+	0.695058i	$0.755379\pi$
$212$	−0.133127	−	0.583265i	−0.00914317	−	0.0400588i
$213$	0.625076	−	2.73864i	0.0428295	−	0.187648i
$214$	16.6633			1.13908
$215$	−12.3909	−	9.64408i	−0.845050	−	0.657721i
$216$	12.1866			0.829192
$217$	−2.37376	+	10.4001i	−0.161142	+	0.706008i
$218$	−0.270217	−	1.18390i	−0.0183014	−	0.0801837i
$219$	−3.57935	−	1.72372i	−0.241870	−	0.116478i
$220$	0.920854	−	1.15471i	0.0620840	−	0.0778508i
$221$	−2.75977			−0.185642
$222$	8.78289			0.589469
$223$	−5.73549	+	7.19208i	−0.384077	+	0.481617i	−0.935861	−	0.352370i	$-0.885376\pi$
$223$	−5.73549	+	7.19208i	−0.384077	+	0.481617i	0.551784	+	0.833987i	$0.313947\pi$
$224$	5.50004	−	2.64868i	0.367487	−	0.176972i
$225$	−0.998638	−	1.25225i	−0.0665759	−	0.0834835i
$226$	17.0043	−	8.18883i	1.13111	−	0.544713i
$227$	4.56515	−	20.0012i	0.303000	−	1.32753i	−0.562574	−	0.826747i	$-0.690189\pi$
$227$	4.56515	−	20.0012i	0.303000	−	1.32753i	0.865574	−	0.500781i	$-0.166954\pi$
$228$	−0.577718	+	0.724436i	−0.0382603	+	0.0479769i
$229$	3.17424	−	13.9073i	0.209760	−	0.919018i	−0.754966	−	0.655763i	$-0.772347\pi$
$229$	3.17424	−	13.9073i	0.209760	−	0.919018i	0.964726	−	0.263255i	$-0.0847960\pi$
$230$	3.13601	+	1.51022i	0.206783	+	0.0995813i
$231$	−4.99433	−	6.26269i	−0.328602	−	0.412054i
$232$	3.45940	+	4.33796i	0.227121	+	0.284801i
$233$	−6.31838	−	27.6826i	−0.413931	−	1.81355i	−0.565076	−	0.825039i	$-0.691153\pi$
$233$	−6.31838	−	27.6826i	−0.413931	−	1.81355i	0.151145	−	0.988512i	$-0.451704\pi$
$234$	8.18896	+	3.94360i	0.535329	+	0.257801i
$235$	17.7744	−	8.55972i	1.15948	−	0.558375i
$236$	−0.578860	−	2.53615i	−0.0376806	−	0.165089i
$237$	2.15927	+	9.46038i	0.140260	+	0.614517i
$238$	5.37006	−	2.58609i	0.348089	−	0.167631i
$239$	17.7045	+	8.52605i	1.14521	+	0.551505i	0.907592	−	0.419854i	$-0.137919\pi$
$239$	17.7045	+	8.52605i	1.14521	+	0.551505i	0.237619	+	0.971358i	$0.423633\pi$
$240$	−2.15415	−	9.43794i	−0.139050	−	0.609216i
$241$	6.75460	+	8.47001i	0.435102	+	0.545601i	0.950245	−	0.311503i	$-0.100833\pi$
$241$	6.75460	+	8.47001i	0.435102	+	0.545601i	−0.515143	+	0.857104i	$0.672261\pi$
$242$	−5.61179	−	7.03696i	−0.360739	−	0.452353i
$243$	−14.5472	−	7.00557i	−0.933204	−	0.449407i
$244$	0.102642	−	0.449703i	0.00657097	−	0.0287893i
$245$	−12.8630	+	16.1296i	−0.821784	+	1.03049i
$246$	−2.61953	+	11.4769i	−0.167015	+	0.731742i
$247$	9.27355	−	4.46591i	0.590062	−	0.284159i
$248$	−4.37925	−	5.49141i	−0.278083	−	0.348705i
$249$	−0.518486	+	0.249690i	−0.0328577	+	0.0158234i
$250$	9.60716	−	12.0470i	0.607610	−	0.761919i
$251$	−20.3622			−1.28525			−0.642625	−	0.766181i	$-0.722155\pi$
$251$	−20.3622			−1.28525			−0.642625	+	0.766181i	$0.722155\pi$
$252$	−2.37246			−0.149451
$253$	−1.34802	+	1.69036i	−0.0847493	+	0.106272i
$254$	13.2985	+	6.40424i	0.834425	+	0.401838i
$255$	−0.481449	−	2.10937i	−0.0301495	−	0.132094i
$256$	−1.44189	+	6.31735i	−0.0901184	+	0.394834i
$257$	−24.0322			−1.49909			−0.749544	−	0.661954i	$-0.769727\pi$
$257$	−24.0322			−1.49909			−0.749544	+	0.661954i	$0.769727\pi$
$258$	0.105600	+	8.93631i	0.00657439	+	0.556350i
$259$	25.4663			1.58240
$260$	0.404305	−	1.77138i	0.0250739	−	0.109856i
$261$	−1.03613	−	4.53960i	−0.0641351	−	0.280994i
$262$	9.57374	+	4.61047i	0.591468	+	0.284836i
$263$	1.82621	−	2.29000i	0.112609	−	0.141207i	−0.722333	−	0.691546i	$-0.756930\pi$
$263$	1.82621	−	2.29000i	0.112609	−	0.141207i	0.834941	+	0.550339i	$0.185501\pi$
$264$	5.27414			0.324601
$265$	−5.21015			−0.320057
$266$	−13.8600	+	17.3799i	−0.849810	+	1.06563i
$267$	−2.70592	+	1.30310i	−0.165600	+	0.0797486i
$268$	0.690620	+	0.866010i	0.0421863	+	0.0529000i
$269$	5.95548	−	2.86801i	0.363112	−	0.174865i	−0.243427	−	0.969919i	$-0.578272\pi$
$269$	5.95548	−	2.86801i	0.363112	−	0.174865i	0.606539	+	0.795054i	$0.292557\pi$
$270$	−3.76411	+	16.4916i	−0.229076	+	1.00365i
$271$	0.247881	−	0.310832i	0.0150577	−	0.0188817i	−0.774246	−	0.632885i	$-0.781870\pi$
$271$	0.247881	−	0.310832i	0.0150577	−	0.0188817i	0.789303	+	0.614003i	$0.210442\pi$
$272$	−0.995626	+	4.36212i	−0.0603687	+	0.264493i
$273$	−8.87838	−	4.27560i	−0.537344	−	0.258771i
$274$	−4.23836	−	5.31473i	−0.256049	−	0.321075i
$275$	−1.02599	−	1.28655i	−0.0618696	−	0.0775820i
$276$	−0.0532801	−	0.233435i	−0.00320708	−	0.0140512i
$277$	18.7604	+	9.03451i	1.12720	+	0.542831i	0.902110	−	0.431507i	$-0.142018\pi$
$277$	18.7604	+	9.03451i	1.12720	+	0.542831i	0.225091	+	0.974338i	$0.427732\pi$
$278$	27.8764	−	13.4246i	1.67192	−	0.805153i
$279$	1.31164	+	5.74667i	0.0785258	+	0.344044i
$280$	−5.47839	−	24.0024i	−0.327396	−	1.43442i
$281$	4.47683	−	2.15593i	0.267066	−	0.128612i	−0.295559	−	0.955324i	$-0.595506\pi$
$281$	4.47683	−	2.15593i	0.267066	−	0.128612i	0.562625	+	0.826712i	$0.309792\pi$
$282$	−10.1167	−	4.87195i	−0.602441	−	0.290120i
$283$	0.778594	+	3.41124i	0.0462826	+	0.202777i	0.992783	−	0.119926i	$-0.0382656\pi$
$283$	0.778594	+	3.41124i	0.0462826	+	0.202777i	−0.946500	+	0.322703i	$0.895408\pi$
$284$	−0.532939	−	0.668285i	−0.0316241	−	0.0396554i
$285$	5.03121	+	6.30894i	0.298023	+	0.373709i
$286$	8.41325	+	4.05161i	0.497486	+	0.239577i
$287$	−7.59544	+	33.2778i	−0.448345	+	1.96433i
$288$	2.10311	−	2.63722i	0.123927	−	0.155400i
$289$	−0.222521	+	0.974928i	−0.0130895	+	0.0573487i
$290$	−6.93891	+	3.34160i	−0.407467	+	0.196226i
$291$	3.42427	+	4.29390i	0.200734	+	0.251713i
$292$	−1.08916	+	0.524510i	−0.0637381	+	0.0306946i
$293$	6.88174	−	8.62943i	0.402036	−	0.504137i	−0.539065	−	0.842264i	$-0.681222\pi$
$293$	6.88174	−	8.62943i	0.402036	−	0.504137i	0.941100	+	0.338128i	$0.109794\pi$
$294$	11.7423			0.684827
$295$	−22.6547			−1.31901
$296$	−10.4544	+	13.1094i	−0.607651	+	0.761970i
$297$	−9.46673	−	4.55894i	−0.549315	−	0.264536i
$298$	5.79430	+	25.3865i	0.335655	+	1.47060i
$299$	−0.591854	+	2.59308i	−0.0342278	+	0.149962i
$300$	0.182239			0.0105216
$301$	0.306192	+	25.9112i	0.0176486	+	1.49350i
$302$	−14.0357			−0.807661
$303$	−0.621105	+	2.72124i	−0.0356816	+	0.156331i
$304$	−3.71330	−	16.2690i	−0.212972	−	0.933093i
$305$	−3.61926	−	1.74294i	−0.207238	−	0.0998006i
$306$	2.05341	−	2.57490i	0.117386	−	0.147197i
$307$	−20.6885			−1.18076			−0.590378	−	0.807127i	$-0.701021\pi$
$307$	−20.6885			−1.18076			−0.590378	+	0.807127i	$0.701021\pi$
$308$	−2.43744			−0.138886
$309$	−3.77319	+	4.73143i	−0.214649	+	0.269161i
$310$	8.78395	−	4.23013i	0.498895	−	0.240255i
$311$	9.76283	+	12.2422i	0.553599	+	0.694192i	0.977360	−	0.211582i	$-0.0678617\pi$
$311$	9.76283	+	12.2422i	0.553599	+	0.694192i	−0.423761	+	0.905774i	$0.639290\pi$
$312$	5.84572	−	2.81515i	0.330949	−	0.159376i
$313$	−6.83651	+	29.9527i	−0.386422	+	1.69303i	0.290421	+	0.956899i	$0.406205\pi$
$313$	−6.83651	+	29.9527i	−0.386422	+	1.69303i	−0.676843	+	0.736127i	$0.736653\pi$
$314$	−16.5162	+	20.7106i	−0.932062	+	1.16877i
$315$	−4.59755	+	20.1432i	−0.259042	+	1.13494i
$316$	2.66031	+	1.28114i	0.149654	+	0.0720696i
$317$	−2.47315	−	3.10123i	−0.138906	−	0.174183i	0.707513	−	0.706701i	$-0.249817\pi$
$317$	−2.47315	−	3.10123i	−0.138906	−	0.174183i	−0.846419	+	0.532518i	$0.821246\pi$
$318$	1.84894	+	2.31850i	0.103683	+	0.130015i
$319$	−1.06451	−	4.66394i	−0.0596013	−	0.261130i
$320$	14.2786	+	6.87622i	0.798200	+	0.384393i
$321$	−8.99401	+	4.33129i	−0.501997	+	0.241749i
$322$	−1.27824	−	5.60032i	−0.0712334	−	0.312094i
$323$	−0.829917	−	3.63611i	−0.0461778	−	0.202318i
$324$	−0.574330	+	0.276583i	−0.0319072	+	0.0153657i
$325$	−1.82390	−	0.878343i	−0.101172	−	0.0487217i
$326$	4.51437	+	19.7787i	0.250028	+	1.09544i
$327$	0.453579	+	0.568771i	0.0250830	+	0.0314531i
$328$	−14.0125	−	17.5711i	−0.773711	−	0.970202i
$329$	−29.3338	−	14.1264i	−1.61723	−	0.778815i
$330$	−1.62904	+	7.13729i	−0.0896757	+	0.392895i
$331$	−12.8961	+	16.1712i	−0.708832	+	0.888848i	−0.997649	−	0.0685368i	$-0.978167\pi$
$331$	−12.8961	+	16.1712i	−0.708832	+	0.888848i	0.288816	+	0.957385i	$0.406738\pi$
$332$	−0.0389659	+	0.170721i	−0.00213853	+	0.00936952i
$333$	12.6781	−	6.10544i	0.694754	−	0.334576i
$334$	−3.89810	−	4.88807i	−0.213295	−	0.267463i
$335$	8.69113	−	4.18543i	0.474847	−	0.228674i
$336$	−9.96108	+	12.4908i	−0.543421	+	0.681429i
$337$	−29.7811			−1.62228			−0.811140	−	0.584852i	$-0.801153\pi$
$337$	−29.7811			−1.62228			−0.811140	+	0.584852i	$0.801153\pi$
$338$	−8.12018			−0.441680
$339$	−7.04953	+	8.83983i	−0.382878	+	0.480113i
$340$	−0.593165	−	0.285653i	−0.0321689	−	0.0154917i
$341$	1.34757	+	5.90407i	0.0729748	+	0.319723i
$342$	−2.73326	+	11.9752i	−0.147798	+	0.647545i
$343$	6.38554			0.344787
$344$	−13.4641	−	10.4794i	−0.725937	−	0.565012i
$345$	−2.08521			−0.112264
$346$	2.78390	−	12.1971i	0.149664	−	0.655719i
$347$	−4.08271	−	17.8875i	−0.219171	−	0.960253i	−0.958092	−	0.286460i	$-0.907521\pi$
$347$	−4.08271	−	17.8875i	−0.219171	−	0.960253i	0.738921	−	0.673792i	$-0.235336\pi$
$348$	0.477328	+	0.229869i	0.0255875	+	0.0123223i
$349$	7.72301	−	9.68435i	0.413403	−	0.518391i	−0.530915	−	0.847425i	$-0.678152\pi$
$349$	7.72301	−	9.68435i	0.413403	−	0.518391i	0.944318	+	0.329034i	$0.106723\pi$
$350$	4.37208			0.233697
$351$	−12.9261			−0.689943
$352$	2.16072	−	2.70945i	0.115167	−	0.144414i
$353$	−22.2653	+	10.7224i	−1.18506	+	0.570697i	−0.919383	−	0.393364i	$-0.871311\pi$
$353$	−22.2653	+	10.7224i	−1.18506	+	0.570697i	−0.265681	+	0.964061i	$0.585597\pi$
$354$	8.03955	+	10.0813i	0.427297	+	0.535814i
$355$	−6.70679	+	3.22982i	−0.355960	+	0.171421i
$356$	−0.203358	+	0.890972i	−0.0107780	+	0.0472214i
$357$	−2.22629	+	2.79167i	−0.117828	+	0.147751i
$358$	−5.39865	+	23.6530i	−0.285327	+	1.25010i
$359$	−12.8409	−	6.18388i	−0.677719	−	0.326372i	0.0631669	−	0.998003i	$-0.479880\pi$
$359$	−12.8409	−	6.18388i	−0.677719	−	0.326372i	−0.740886	+	0.671631i	$0.765594\pi$
$360$	−8.48181	−	10.6359i	−0.447031	−	0.560559i
$361$	−3.17355	−	3.97950i	−0.167029	−	0.209447i
$362$	−1.94478	−	8.52066i	−0.102216	−	0.447836i
$363$	4.85807	+	2.33952i	0.254983	+	0.122793i
$364$	−2.70160	+	1.30102i	−0.141602	+	0.0681920i
$365$	2.34265	+	10.2638i	0.122620	+	0.537234i
$366$	0.508773	+	2.22908i	0.0265940	+	0.116516i
$367$	−5.31713	+	2.56059i	−0.277552	+	0.133662i	−0.567482	−	0.823386i	$-0.692082\pi$
$367$	−5.31713	+	2.56059i	−0.277552	+	0.133662i	0.289930	+	0.957048i	$0.406368\pi$
$368$	3.88514	+	1.87098i	0.202527	+	0.0975318i
$369$	4.19691	+	18.3879i	0.218483	+	0.957235i
$370$	−14.5114	−	18.1967i	−0.754412	−	0.946003i
$371$	5.36108	+	6.72258i	0.278333	+	0.349019i
$372$	−0.604249	−	0.290991i	−0.0313288	−	0.0150872i
$373$	−5.51123	+	24.1463i	−0.285361	+	1.25025i	0.605454	+	0.795880i	$0.292992\pi$
$373$	−5.51123	+	24.1463i	−0.285361	+	1.25025i	−0.890815	+	0.454367i	$0.849866\pi$
$374$	2.10965	−	2.64542i	0.109088	−	0.136792i
$375$	−2.05409	+	8.99954i	−0.106073	+	0.464734i
$376$	19.3140	−	9.30114i	0.996044	−	0.479670i
$377$	−3.66933	−	4.60119i	−0.188980	−	0.236973i
$378$	25.1521	−	12.1126i	1.29368	−	0.623005i
$379$	16.9007	−	21.1928i	0.868132	−	1.08860i	−0.127179	−	0.991880i	$-0.540592\pi$
$379$	16.9007	−	21.1928i	0.868132	−	1.08860i	0.995311	−	0.0967232i	$-0.0308362\pi$
$380$	2.45544			0.125961
$381$	−8.84253			−0.453017
$382$	−19.3726	+	24.2925i	−0.991188	+	1.24291i
$383$	4.21177	+	2.02828i	0.215211	+	0.103640i	0.538384	−	0.842700i	$-0.319035\pi$
$383$	4.21177	+	2.02828i	0.215211	+	0.103640i	−0.323172	+	0.946340i	$0.604749\pi$
$384$	−2.62841	−	11.5158i	−0.134131	−	0.587665i
$385$	−4.72347	+	20.6949i	−0.240730	+	1.05471i
$386$	28.4653			1.44885
$387$	6.36453	+	12.8261i	0.323527	+	0.651989i
$388$	1.67119			0.0848417
$389$	−4.85095	+	21.2534i	−0.245953	+	1.07759i	0.689541	+	0.724247i	$0.257812\pi$
$389$	−4.85095	+	21.2534i	−0.245953	+	1.07759i	−0.935494	+	0.353343i	$0.885045\pi$
$390$	2.00405	+	8.78032i	0.101479	+	0.444609i
$391$	0.868322	+	0.418162i	0.0439130	+	0.0211474i
$392$	−13.9771	+	17.5267i	−0.705951	+	0.885234i
$393$	−6.36582			−0.321113
$394$	−34.8082			−1.75361
$395$	16.0328	−	20.1044i	0.806695	−	1.01156i
$396$	−1.21345	+	0.584365i	−0.0609780	+	0.0293655i
$397$	−21.9031	−	27.4656i	−1.09929	−	1.37846i	−0.918726	−	0.394896i	$-0.870781\pi$
$397$	−21.9031	−	27.4656i	−1.09929	−	1.37846i	−0.180560	−	0.983564i	$-0.557791\pi$
$398$	20.1042	−	9.68166i	1.00773	−	0.485298i
$399$	2.96337	−	12.9834i	0.148354	−	0.649983i
$400$	−2.04632	+	2.56600i	−0.102316	+	0.128300i
$401$	−0.0627617	+	0.274977i	−0.00313417	+	0.0137317i	−0.976471	−	0.215650i	$-0.930813\pi$
$401$	−0.0627617	+	0.274977i	−0.00313417	+	0.0137317i	0.973337	+	0.229381i	$0.0736703\pi$
$402$	−4.94674	−	2.38222i	−0.246721	−	0.118815i
$403$	4.64499	+	5.82464i	0.231384	+	0.290146i
$404$	0.529554	+	0.664039i	0.0263463	+	0.0330372i
$405$	1.23532	+	5.41228i	0.0613835	+	0.268939i
$406$	11.4515	+	5.51477i	0.568330	+	0.273693i
$407$	13.0253	−	6.27267i	0.645642	−	0.310925i
$408$	−0.523150	−	2.29207i	−0.0258998	−	0.113474i
$409$	0.00731392	+	0.0320444i	0.000361650	+	0.00158449i	0.975108	−	0.221729i	$-0.0711699\pi$
$409$	0.00731392	+	0.0320444i	0.000361650	+	0.00158449i	−0.974747	+	0.223313i	$0.928313\pi$
$410$	28.1064	−	13.5353i	1.38808	−	0.668463i
$411$	3.66911	+	1.76695i	0.180984	+	0.0871571i
$412$	0.409766	+	1.79530i	0.0201877	+	0.0884482i
$413$	23.3110	+	29.2311i	1.14706	+	1.43837i
$414$	−1.97901	−	2.48160i	−0.0972628	−	0.121964i
$415$	1.37398	+	0.661673i	0.0674460	+	0.0324803i
$416$	0.948672	−	4.15640i	0.0465125	−	0.203784i
$417$	−11.5568	+	14.4918i	−0.565941	+	0.709667i
$418$	−2.80813	+	12.3032i	−0.137350	+	0.601769i
$419$	23.6068	−	11.3685i	1.15327	−	0.555385i	0.243255	−	0.969962i	$-0.421785\pi$
$419$	23.6068	−	11.3685i	1.15327	−	0.555385i	0.910014	+	0.414577i	$0.136070\pi$
$420$	−1.46571	−	1.83794i	−0.0715191	−	0.0896821i
$421$	−23.1907	+	11.1680i	−1.13025	+	0.544297i	−0.903043	−	0.429550i	$-0.858672\pi$
$421$	−23.1907	+	11.1680i	−1.13025	+	0.544297i	−0.227202	+	0.973848i	$0.572958\pi$
$422$	9.45777	−	11.8597i	0.460397	−	0.577320i
$423$	−17.9902			−0.874713
$424$	−5.66144			−0.274944
$425$	−0.457349	+	0.573497i	−0.0221847	+	0.0278187i
$426$	3.81731	+	1.83832i	0.184949	+	0.0890670i
$427$	1.47521	+	6.46331i	0.0713903	+	0.312781i
$428$	−0.675928	+	2.96144i	−0.0326722	+	0.143146i
$429$	−5.59418			−0.270090
$430$	18.3401	−	14.9837i	0.884439	−	0.722577i
$431$	22.3799			1.07800			0.539002	−	0.842305i	$-0.318802\pi$
$431$	22.3799			1.07800			0.539002	+	0.842305i	$0.318802\pi$
$432$	−4.66327	+	20.4311i	−0.224362	+	0.982993i
$433$	−1.74826	−	7.65963i	−0.0840160	−	0.368098i	0.915390	−	0.402569i	$-0.131883\pi$
$433$	−1.74826	−	7.65963i	−0.0840160	−	0.368098i	−0.999406	+	0.0344707i	$0.989025\pi$
$434$	−14.4965	−	6.98114i	−0.695853	−	0.335105i
$435$	2.87669	−	3.60725i	0.137927	−	0.172955i
$436$	0.221366			0.0106015
$437$	−3.59447			−0.171947
$438$	3.73602	−	4.68483i	0.178514	−	0.223850i
$439$	21.1924	−	10.2057i	1.01146	−	0.487092i	0.146646	−	0.989189i	$-0.453152\pi$
$439$	21.1924	−	10.2057i	1.01146	−	0.487092i	0.864811	+	0.502097i	$0.167438\pi$
$440$	−8.71412	−	10.9272i	−0.415430	−	0.520932i
$441$	16.9500	−	8.16271i	0.807145	−	0.388701i
$442$	0.926252	−	4.05818i	0.0440573	−	0.193028i
$443$	16.1934	−	20.3058i	0.769370	−	0.964759i	−0.230596	−	0.973050i	$-0.574068\pi$
$443$	16.1934	−	20.3058i	0.769370	−	0.964759i	0.999966	+	0.00829051i	$0.00263898\pi$
$444$	−0.356268	+	1.56091i	−0.0169077	+	0.0740776i
$445$	7.17064	+	3.45320i	0.339921	+	0.163697i
$446$	−8.65081	−	10.8478i	−0.409628	−	0.513657i
$447$	−9.72616	−	12.1962i	−0.460032	−	0.576862i
$448$	−5.81996	−	25.4989i	−0.274967	−	1.20471i
$449$	−17.7078	−	8.52765i	−0.835685	−	0.402445i	−0.0334409	−	0.999441i	$-0.510647\pi$
$449$	−17.7078	−	8.52765i	−0.835685	−	0.402445i	−0.802244	+	0.596996i	$0.796361\pi$
$450$	2.17658	−	1.04819i	0.102605	−	0.0494119i
$451$	4.31187	+	18.8915i	0.203038	+	0.889567i
$452$	0.765575	+	3.35420i	0.0360096	+	0.157768i
$453$	7.57573	−	3.64828i	0.355939	−	0.171411i
$454$	27.8792	+	13.4259i	1.30843	+	0.630109i
$455$	5.81083	+	25.4589i	0.272416	+	1.19353i
$456$	5.46700	+	6.85540i	0.256016	+	0.321034i
$457$	−19.0404	−	23.8759i	−0.890672	−	1.11687i	−0.992522	−	0.122067i	$-0.961048\pi$
$457$	−19.0404	−	23.8759i	−0.890672	−	1.11687i	0.101850	−	0.994800i	$-0.467524\pi$
$458$	19.3850	+	9.33531i	0.905800	+	0.436210i
$459$	−1.04223	+	4.56633i	−0.0486473	+	0.213138i
$460$	−0.395609	+	0.496078i	−0.0184454	+	0.0231298i
$461$	1.00833	−	4.41780i	0.0469628	−	0.205757i	−0.946003	−	0.324157i	$-0.894919\pi$
$461$	1.00833	−	4.41780i	0.0469628	−	0.205757i	0.992966	+	0.118400i	$0.0377764\pi$
$462$	10.8854	−	5.24212i	0.506433	−	0.243885i
$463$	−7.88473	−	9.88713i	−0.366434	−	0.459494i	0.564096	−	0.825709i	$-0.309225\pi$
$463$	−7.88473	−	9.88713i	−0.366434	−	0.459494i	−0.930530	+	0.366215i	$0.880653\pi$
$464$	−8.59646	+	4.13984i	−0.399081	+	0.192187i
$465$	−3.64160	+	4.56642i	−0.168875	+	0.211763i
$466$	42.8273			1.98394
$467$	6.33657			0.293221			0.146611	−	0.989194i	$-0.453164\pi$
$467$	6.33657			0.293221			0.146611	+	0.989194i	$0.453164\pi$
$468$	−1.03304	+	1.29539i	−0.0477523	+	0.0598795i
$469$	−14.3433	−	6.90736i	−0.662311	−	0.318952i
$470$	6.62130	+	29.0098i	0.305418	+	1.33812i
$471$	3.53129	−	15.4716i	0.162713	−	0.712894i
$472$	−24.6170			−1.13309
$473$	6.53885	+	13.1774i	0.300657	+	0.605899i
$474$	−14.6360			−0.672253
$475$	0.608770	−	2.66719i	0.0279323	−	0.122379i
$476$	0.241774	+	1.05928i	0.0110817	+	0.0485520i
$477$	4.28065	+	2.06145i	0.195997	+	0.0943874i
$478$	−18.4795	+	23.1725i	−0.845232	+	1.05989i
$479$	−37.9474			−1.73386			−0.866931	−	0.498428i	$-0.833911\pi$
$479$	−37.9474			−1.73386			−0.866931	+	0.498428i	$0.833911\pi$
$480$	3.34235			0.152557
$481$	11.0888	−	13.9049i	0.505606	−	0.634010i
$482$	−14.7220	+	7.08973i	−0.670568	+	0.322929i
$483$	2.14562	+	2.69052i	0.0976290	+	0.122423i
$484$	1.47826	−	0.711891i	0.0671935	−	0.0323587i
$485$	3.23857	−	14.1891i	0.147056	−	0.644293i
$486$	15.1840	−	19.0401i	0.688759	−	0.863676i
$487$	2.43692	−	10.6769i	0.110428	−	0.483815i	−0.889225	−	0.457469i	$-0.848756\pi$
$487$	2.43692	−	10.6769i	0.110428	−	0.483815i	0.999653	−	0.0263452i	$-0.00838692\pi$
$488$	−3.93275	−	1.89391i	−0.178027	−	0.0857333i
$489$	−7.57771	−	9.50214i	−0.342676	−	0.429702i
$490$	−19.4011	−	24.3282i	−0.876454	−	1.09904i
$491$	0.904210	+	3.96160i	0.0408064	+	0.178785i	0.991224	−	0.132191i	$-0.0422013\pi$
$491$	0.904210	+	3.96160i	0.0408064	+	0.178785i	−0.950418	+	0.310976i	$0.899344\pi$
$492$	−1.93344	−	0.931097i	−0.0871663	−	0.0419771i
$493$	−1.92130	+	0.925247i	−0.0865308	+	0.0416710i
$494$	3.45456	+	15.1354i	0.155428	+	0.680975i
$495$	2.60999	+	11.4351i	0.117310	+	0.513970i
$496$	10.8822	−	5.24061i	0.488627	−	0.235310i
$497$	11.0685	+	5.33029i	0.496488	+	0.239096i
$498$	−0.193145	−	0.846225i	−0.00865505	−	0.0379202i
$499$	18.0987	+	22.6950i	0.810208	+	1.01597i	0.999421	+	0.0340331i	$0.0108352\pi$
$499$	18.0987	+	22.6950i	0.810208	+	1.01597i	−0.189212	+	0.981936i	$0.560593\pi$
$500$	1.75131	+	2.19608i	0.0783211	+	0.0982115i
$501$	3.37455	+	1.62510i	0.150764	+	0.0726040i
$502$	6.83410	−	29.9421i	0.305021	−	1.33638i
$503$	−11.4330	+	14.3365i	−0.509772	+	0.639234i	−0.968402	−	0.249393i	$-0.919769\pi$
$503$	−11.4330	+	14.3365i	−0.509772	+	0.639234i	0.458630	+	0.888627i	$0.348340\pi$
$504$	−4.99577	+	21.8879i	−0.222529	+	0.974965i
$505$	6.66418	−	3.20930i	0.296552	−	0.142812i
$506$	−2.03321	−	2.54957i	−0.0903872	−	0.113342i
$507$	4.38286	−	2.11067i	0.194650	−	0.0937383i
$508$	−1.67762	+	2.10366i	−0.0744321	+	0.0933349i
$509$	28.7829			1.27578			0.637889	−	0.770128i	$-0.279808\pi$
$509$	28.7829			1.27578			0.637889	+	0.770128i	$0.279808\pi$
$510$	3.26336			0.144504
$511$	10.8328	−	13.5838i	0.479213	−	0.600914i
$512$	14.7500	+	7.10324i	0.651866	+	0.313922i
$513$	−3.88713	−	17.0306i	−0.171621	−	0.751921i
$514$	8.06586	−	35.3388i	0.355770	−	1.55873i
$515$	16.0369			0.706672
$516$	−1.59246	−	0.343724i	−0.0701042	−	0.0151316i
$517$	−18.4829			−0.812879
$518$	−8.54719	+	37.4477i	−0.375542	+	1.64536i
$519$	1.66777	+	7.30698i	0.0732070	+	0.320741i
$520$	−15.4910	−	7.46010i	−0.679327	−	0.327147i
$521$	−13.2415	+	16.6043i	−0.580119	+	0.727446i	−0.982133	−	0.188187i	$-0.939739\pi$
$521$	−13.2415	+	16.6043i	−0.580119	+	0.727446i	0.402014	+	0.915633i	$0.368310\pi$
$522$	7.02313			0.307394
$523$	−13.2393			−0.578916			−0.289458	−	0.957191i	$-0.593475\pi$
$523$	−13.2393			−0.578916			−0.289458	+	0.957191i	$0.593475\pi$
$524$	−1.20773	+	1.51445i	−0.0527599	+	0.0661588i
$525$	−2.35982	+	1.13643i	−0.102991	+	0.0495979i
$526$	2.75446	+	3.45399i	0.120100	+	0.150601i
$527$	2.43217	−	1.17127i	0.105947	−	0.0510213i
$528$	−2.01818	+	8.84223i	−0.0878301	+	0.384809i
$529$	−13.7611	+	17.2559i	−0.598310	+	0.750258i
$530$	1.74867	−	7.66141i	0.0759572	−	0.332790i
$531$	18.6131	+	8.96359i	0.807739	+	0.388987i
$532$	−2.52657	−	3.16822i	−0.109541	−	0.137360i
$533$	14.8628	+	18.6374i	0.643779	+	0.807273i
$534$	−1.00800	−	4.41635i	−0.0436206	−	0.191114i
$535$	23.8340	+	11.4778i	1.03043	+	0.496230i
$536$	9.44393	−	4.54795i	0.407915	−	0.196442i
$537$	−3.23420	−	14.1700i	−0.139566	−	0.611479i
$538$	2.21852	+	9.71998i	0.0956473	+	0.419058i
$539$	17.4143	−	8.38629i	0.750087	−	0.361223i
$540$	−2.77824	−	1.33793i	−0.119556	−	0.0575753i
$541$	5.17225	+	22.6611i	0.222372	+	0.974277i	0.955686	+	0.294387i	$0.0951153\pi$
$541$	5.17225	+	22.6611i	0.222372	+	0.974277i	−0.733314	+	0.679890i	$0.762028\pi$
$542$	0.373877	+	0.468827i	0.0160594	+	0.0201378i
$543$	3.26447	+	4.09351i	0.140092	+	0.175669i
$544$	−1.39182	−	0.670264i	−0.0596737	−	0.0287373i
$545$	0.428981	−	1.87949i	0.0183755	−	0.0805084i
$546$	9.26701	−	11.6205i	0.396591	−	0.497310i
$547$	6.12195	−	26.8220i	0.261756	−	1.14683i	−0.657590	−	0.753376i	$-0.728424\pi$
$547$	6.12195	−	26.8220i	0.261756	−	1.14683i	0.919346	−	0.393451i	$-0.128719\pi$
$548$	1.11647	−	0.537663i	0.0476932	−	0.0229678i
$549$	2.28396	+	2.86400i	0.0974771	+	0.122232i
$550$	2.23620	−	1.07689i	0.0953517	−	0.0459190i
$551$	4.95881	−	6.21815i	0.211253	−	0.264902i
$552$	−2.26583			−0.0964400
$553$	−42.4376			−1.80463
$554$	−19.5815	+	24.5545i	−0.831940	+	1.04322i
$555$	12.5624	+	6.04973i	0.533244	+	0.256797i
$556$	1.25507	+	5.49881i	0.0532267	+	0.233201i
$557$	−1.80245	+	7.89705i	−0.0763723	+	0.334609i	−0.998651	−	0.0519156i	$-0.983467\pi$
$557$	−1.80245	+	7.89705i	−0.0763723	+	0.334609i	0.922279	+	0.386524i	$0.126324\pi$
$558$	−8.89057			−0.376368
$559$	14.2811	+	11.1153i	0.604028	+	0.470128i
$560$	42.3370			1.78906
$561$	−0.451061	+	1.97623i	−0.0190438	+	0.0834363i
$562$	1.66770	+	7.30667i	0.0703477	+	0.308213i
$563$	15.3938	+	7.41324i	0.648770	+	0.312431i	0.729171	−	0.684332i	$-0.239906\pi$
$563$	15.3938	+	7.41324i	0.648770	+	0.312431i	−0.0804013	+	0.996763i	$0.525620\pi$
$564$	1.27623	−	1.60034i	0.0537388	−	0.0673863i
$565$	29.9622			1.26052
$566$	−5.27748			−0.221829
$567$	5.71229	−	7.16298i	0.239893	−	0.300817i
$568$	−7.28771	+	3.50958i	−0.305786	+	0.147259i
$569$	17.8207	+	22.3465i	0.747085	+	0.936814i	0.999526	−	0.0307979i	$-0.00980482\pi$
$569$	17.8207	+	22.3465i	0.747085	+	0.936814i	−0.252441	+	0.967612i	$0.581233\pi$
$570$	−10.9658	+	5.28083i	−0.459305	+	0.221190i
$571$	8.12125	−	35.5815i	0.339864	−	1.48904i	−0.459492	−	0.888182i	$-0.651969\pi$
$571$	8.12125	−	35.5815i	0.339864	−	1.48904i	0.799356	−	0.600858i	$-0.205174\pi$
$572$	−1.06133	+	1.33087i	−0.0443766	+	0.0556465i
$573$	4.14201	−	18.1473i	0.173035	−	0.758116i
$574$	−46.3850	−	22.3379i	−1.93607	−	0.932364i
$575$	0.440777	+	0.552717i	0.0183817	+	0.0230499i
$576$	−9.01064	−	11.2990i	−0.375443	−	0.470791i
$577$	−3.00745	−	13.1765i	−0.125202	−	0.548545i	−0.998154	−	0.0607386i	$-0.980654\pi$
$577$	−3.00745	−	13.1765i	−0.125202	−	0.548545i	0.872952	−	0.487806i	$-0.162203\pi$
$578$	−1.35893	−	0.654424i	−0.0565239	−	0.0272205i
$579$	−15.3641	+	7.39898i	−0.638512	+	0.307491i
$580$	−0.312407	−	1.36875i	−0.0129720	−	0.0568340i
$581$	−0.560033	−	2.45366i	−0.0232341	−	0.101795i
$582$	−7.46337	+	3.59417i	−0.309366	+	0.148983i
$583$	4.39789	+	2.11791i	0.182142	+	0.0877150i
$584$	2.54557	+	11.1529i	0.105336	+	0.461509i
$585$	8.99650	+	11.2813i	0.371959	+	0.466422i
$586$	10.3797	+	13.0157i	0.428781	+	0.537674i
$587$	16.9042	+	8.14063i	0.697710	+	0.336000i	0.748894	−	0.662690i	$-0.230585\pi$
$587$	16.9042	+	8.14063i	0.697710	+	0.336000i	−0.0511837	+	0.998689i	$0.516299\pi$
$588$	−0.476315	+	2.08687i	−0.0196429	+	0.0860612i
$589$	−6.27735	+	7.87155i	−0.258654	+	0.324342i
$590$	7.60354	−	33.3133i	0.313033	−	1.37149i
$591$	18.7877	−	9.04768i	0.772823	−	0.372172i
$592$	−17.9779	−	22.5435i	−0.738885	−	0.926533i
$593$	11.5948	−	5.58377i	0.476142	−	0.229298i	−0.180391	−	0.983595i	$-0.557736\pi$
$593$	11.5948	−	5.58377i	0.476142	−	0.229298i	0.656533	+	0.754297i	$0.272022\pi$
$594$	9.88111	−	12.3905i	0.405427	−	0.508389i
$595$	9.46225			0.387915
$596$	−4.74677			−0.194435
$597$	−8.33466	+	10.4513i	−0.341115	+	0.427745i
$598$	−3.61443	−	1.74062i	−0.147805	−	0.0711791i
$599$	−6.35881	−	27.8598i	−0.259814	−	1.13832i	−0.921451	−	0.388495i	$-0.872995\pi$
$599$	−6.35881	−	27.8598i	−0.259814	−	1.13832i	0.661637	−	0.749825i	$-0.269862\pi$
$600$	0.383747	−	1.68130i	0.0156664	−	0.0686390i
$601$	−42.4904			−1.73322			−0.866610	−	0.498985i	$-0.833706\pi$
$601$	−42.4904			−1.73322			−0.866610	+	0.498985i	$0.833706\pi$
$602$	−38.2046	−	8.24625i	−1.55710	−	0.336092i
$603$	−8.79662			−0.358226
$604$	0.569341	−	2.49444i	0.0231661	−	0.101497i
$605$	−3.17957	−	13.9306i	−0.129268	−	0.566359i
$606$	−3.79306	−	1.82664i	−0.154083	−	0.0742023i
$607$	−9.56209	+	11.9905i	−0.388113	+	0.486679i	−0.937055	−	0.349182i	$-0.886459\pi$
$607$	−9.56209	+	11.9905i	−0.388113	+	0.486679i	0.548942	+	0.835861i	$0.315031\pi$
$608$	5.76151			0.233660
$609$	−7.61441			−0.308551
$610$	3.77768	−	4.73706i	0.152954	−	0.191798i
$611$	−20.4860	+	9.86554i	−0.828775	+	0.399117i
$612$	0.374321	+	0.469384i	0.0151310	+	0.0189737i
$613$	0.508843	−	0.245046i	0.0205520	−	0.00989731i	−0.423580	−	0.905859i	$-0.639227\pi$
$613$	0.508843	−	0.245046i	0.0205520	−	0.00989731i	0.444132	+	0.895962i	$0.353512\pi$
$614$	6.94363	−	30.4220i	0.280222	−	1.22773i
$615$	−11.6522	+	14.6114i	−0.469861	+	0.589187i
$616$	−5.13260	+	22.4874i	−0.206798	+	0.906043i
$617$	−27.2060	−	13.1017i	−1.09527	−	0.527456i	−0.203105	−	0.979157i	$-0.565103\pi$
$617$	−27.2060	−	13.1017i	−1.09527	−	0.527456i	−0.892169	+	0.451701i	$0.850817\pi$
$618$	−5.69107	−	7.13638i	−0.228929	−	0.287067i
$619$	−0.835275	−	1.04740i	−0.0335725	−	0.0420986i	0.764762	−	0.644313i	$-0.222857\pi$
$619$	−0.835275	−	1.04740i	−0.0335725	−	0.0420986i	−0.798334	+	0.602214i	$0.794285\pi$
$620$	0.395476	+	1.73269i	0.0158827	+	0.0695866i
$621$	4.06701	+	1.95857i	0.163204	+	0.0785947i
$622$	−21.2786	+	10.2472i	−0.853193	+	0.410876i
$623$	−2.92275	−	12.8054i	−0.117097	−	0.513037i
$624$	2.48277	+	10.8777i	0.0993904	+	0.435458i
$625$	25.3439	−	12.2050i	1.01376	−	0.488199i
$626$	−41.7503	−	20.1059i	−1.66868	−	0.803592i
$627$	−1.68228	−	7.37056i	−0.0671839	−	0.294352i
$628$	−3.01078	−	3.77539i	−0.120143	−	0.150655i
$629$	−4.01802	−	5.03844i	−0.160209	−	0.200896i
$630$	−28.0770	−	13.5212i	−1.11861	−	0.538697i
$631$	5.03977	−	22.0807i	0.200630	−	0.879018i	−0.769924	−	0.638135i	$-0.779706\pi$
$631$	5.03977	−	22.0807i	0.200630	−	0.879018i	0.970554	−	0.240883i	$-0.0774369\pi$
$632$	17.4215	−	21.8458i	0.692989	−	0.868980i
$633$	−2.02215	+	8.85960i	−0.0803731	+	0.352137i
$634$	5.39035	−	2.59586i	0.214078	−	0.103095i
$635$	14.6100	+	18.3203i	0.579778	+	0.727019i
$636$	−0.487048	+	0.234550i	−0.0193127	+	0.00930051i
$637$	14.8253	−	18.5903i	0.587398	−	0.736574i
$638$	7.21550			0.285664
$639$	6.78820			0.268537
$640$	−19.5162	+	24.4725i	−0.771446	+	0.967362i
$641$	23.5138	+	11.3236i	0.928739	+	0.447257i	0.836183	−	0.548450i	$-0.184782\pi$
$641$	23.5138	+	11.3236i	0.928739	+	0.447257i	0.0925560	+	0.995707i	$0.470496\pi$
$642$	−3.35043	−	14.6792i	−0.132231	−	0.579341i
$643$	0.236392	−	1.03570i	0.00932241	−	0.0408441i	−0.970053	−	0.242894i	$-0.921903\pi$
$643$	0.236392	−	1.03570i	0.00932241	−	0.0408441i	0.979375	+	0.202050i	$0.0647604\pi$
$644$	1.04715			0.0412635
$645$	−6.00436	+	12.8546i	−0.236421	+	0.506148i
$646$	5.62536			0.221327
$647$	−0.626706	+	2.74578i	−0.0246384	+	0.107948i	−0.985752	−	0.168206i	$-0.946203\pi$
$647$	−0.626706	+	2.74578i	−0.0246384	+	0.107948i	0.961114	+	0.276154i	$0.0890598\pi$
$648$	1.34232	+	5.88108i	0.0527312	+	0.231031i
$649$	19.1229	+	9.20910i	0.750639	+	0.361489i
$650$	1.90373	−	2.38721i	0.0746705	−	0.0936339i
$651$	9.63907			0.377785
$652$	−3.69824			−0.144834
$653$	24.1061	−	30.2281i	0.943344	−	1.18292i	−0.0396382	−	0.999214i	$-0.512621\pi$
$653$	24.1061	−	30.2281i	0.943344	−	1.18292i	0.982982	−	0.183702i	$-0.0588080\pi$
$654$	−0.988598	+	0.476084i	−0.0386572	+	0.0186163i
$655$	10.5178	+	13.1889i	0.410966	+	0.515335i
$656$	34.8204	−	16.7686i	1.35951	−	0.654705i
$657$	2.13628	−	9.35964i	0.0833441	−	0.365154i
$658$	30.6178	−	38.3935i	1.19361	−	1.49673i
$659$	−8.94076	+	39.1720i	−0.348283	+	1.52593i	0.432795	+	0.901492i	$0.357527\pi$
$659$	−8.94076	+	39.1720i	−0.348283	+	1.52593i	−0.781078	+	0.624434i	$0.785330\pi$
$660$	−1.20237	−	0.579033i	−0.0468023	−	0.0225388i
$661$	19.2061	+	24.0836i	0.747029	+	0.936745i	0.999524	−	0.0308534i	$-0.00982251\pi$
$661$	19.2061	+	24.0836i	0.747029	+	0.936745i	−0.252495	+	0.967598i	$0.581251\pi$
$662$	−19.4511	−	24.3909i	−0.755987	−	0.947978i
$663$	0.554896	+	2.43116i	0.0215504	+	0.0944183i
$664$	1.49299	+	0.718985i	0.0579392	+	0.0279020i
$665$	−31.7957	+	15.3120i	−1.23298	+	0.593774i
$666$	4.72281	+	20.6920i	0.183005	+	0.801798i
$667$	0.457327	+	2.00368i	0.0177078	+	0.0775828i
$668$	1.02684	−	0.494499i	0.0397296	−	0.0191328i
$669$	7.48892	+	3.60648i	0.289538	+	0.139434i
$670$	3.23760	+	14.1849i	0.125079	+	0.548009i
$671$	2.34652	+	2.94244i	0.0905863	+	0.113592i
$672$	−3.43917	−	4.31258i	−0.132669	−	0.166361i
$673$	16.8562	+	8.11752i	0.649759	+	0.312907i	0.729574	−	0.683902i	$-0.239719\pi$
$673$	16.8562	+	8.11752i	0.649759	+	0.312907i	−0.0798147	+	0.996810i	$0.525433\pi$
$674$	9.99535	−	43.7925i	0.385006	−	1.68682i
$675$	−2.14211	+	2.68612i	−0.0824499	+	0.103389i
$676$	0.329386	−	1.44313i	0.0126687	−	0.0555052i
$677$	−12.4941	+	6.01684i	−0.480187	+	0.231246i	−0.658288	−	0.752766i	$-0.728719\pi$
$677$	−12.4941	+	6.01684i	−0.480187	+	0.231246i	0.178100	+	0.984012i	$0.443005\pi$
$678$	−10.6328	−	13.3331i	−0.408349	−	0.512053i
$679$	−21.6403	+	10.4214i	−0.830480	+	0.399938i
$680$	−3.88444	+	4.87093i	−0.148961	+	0.186792i
$681$	−18.5375			−0.710360
$682$	−9.13409			−0.349762
$683$	28.5085	−	35.7485i	1.09085	−	1.36788i	0.166625	−	0.986020i	$-0.446713\pi$
$683$	28.5085	−	35.7485i	1.09085	−	1.36788i	0.924221	−	0.381858i	$-0.124716\pi$
$684$	−2.01739	−	0.971522i	−0.0771367	−	0.0371471i
$685$	−2.40140	−	10.5212i	−0.0917527	−	0.401995i
$686$	−2.14316	+	9.38979i	−0.0818262	+	0.358504i
$687$	−12.8895			−0.491767
$688$	22.7212	−	18.5629i	0.866236	−	0.707706i
$689$	6.00498			0.228772
$690$	0.699854	−	3.06626i	0.0266430	−	0.116731i
$691$	−5.94921	−	26.0652i	−0.226319	−	0.991567i	−0.952613	−	0.304184i	$-0.901616\pi$
$691$	−5.94921	−	26.0652i	−0.226319	−	0.991567i	0.726295	−	0.687383i	$-0.241241\pi$
$692$	2.05476	+	0.989521i	0.0781104	+	0.0376160i
$693$	12.0689	−	15.1340i	0.458461	−	0.574892i
$694$	27.6735			1.05047
$695$	49.1193			1.86320
$696$	3.12586	−	3.91970i	0.118485	−	0.148576i
$697$	7.78231	−	3.74776i	0.294776	−	0.141957i
$698$	11.6486	+	14.6068i	0.440905	+	0.552877i
$699$	−23.1160	+	11.1321i	−0.874328	+	0.421054i
$700$	−0.177348	+	0.777014i	−0.00670314	+	0.0293684i
$701$	−24.0904	+	30.2084i	−0.909881	+	1.14095i	0.0796772	+	0.996821i	$0.474611\pi$
$701$	−24.0904	+	30.2084i	−0.909881	+	1.14095i	−0.989558	+	0.144134i	$0.953960\pi$
$702$	4.33834	−	19.0075i	0.163740	−	0.717392i
$703$	21.6549	+	10.4285i	0.816731	+	0.393317i
$704$	−9.25744	−	11.6085i	−0.348903	−	0.437510i
$705$	−11.1143	−	13.9369i	−0.418590	−	0.524896i
$706$	−8.29423	−	36.3394i	−0.312157	−	1.36765i
$707$	−10.9981	−	5.29643i	−0.413628	−	0.199193i
$708$	−2.11778	+	1.01987i	−0.0795910	+	0.0383290i
$709$	−6.03510	−	26.4415i	−0.226653	−	0.993031i	−0.952348	−	0.305014i	$-0.901339\pi$
$709$	−6.03510	−	26.4415i	−0.226653	−	0.993031i	0.725695	−	0.688017i	$-0.241518\pi$
$710$	−2.49840	−	10.9462i	−0.0937633	−	0.410804i
$711$	−21.1270	+	10.1742i	−0.792325	+	0.381564i
$712$	7.79174	+	3.75230i	0.292008	+	0.140623i
$713$	−0.578929	−	2.53645i	−0.0216811	−	0.0949910i
$714$	−3.35789	−	4.21067i	−0.125666	−	0.157580i
$715$	9.24291	+	11.5902i	0.345665	+	0.433450i
$716$	−3.98467	−	1.91892i	−0.148914	−	0.0717133i
$717$	3.95106	−	17.3107i	0.147555	−	0.646481i
$718$	13.4030	−	16.8069i	0.500196	−	0.627226i
$719$	3.62184	−	15.8683i	0.135072	−	0.591788i	−0.861405	−	0.507919i	$-0.830415\pi$
$719$	3.62184	−	15.8683i	0.135072	−	0.591788i	0.996477	−	0.0838694i	$-0.0267279\pi$
$720$	21.0769	−	10.1501i	0.785490	−	0.378272i
$721$	−16.5015	−	20.6922i	−0.614548	−	0.770619i
$722$	6.91690	−	3.33100i	0.257420	−	0.123967i
$723$	6.10335	−	7.65336i	0.226986	−	0.284631i
$724$	1.59320			0.0592107
$725$	−1.56424			−0.0580943
$726$	−5.07072	+	6.35848i	−0.188192	+	0.235985i
$727$	−19.2063	−	9.24927i	−0.712323	−	0.343036i	0.0423818	−	0.999101i	$-0.486505\pi$
$727$	−19.2063	−	9.24927i	−0.712323	−	0.343036i	−0.754704	+	0.656065i	$0.772220\pi$
$728$	6.31414	+	27.6641i	0.234018	+	1.02530i
$729$	−1.69874	+	7.44268i	−0.0629164	+	0.275655i
$730$	−15.8790			−0.587708
$731$	5.07814	−	4.14879i	0.187822	−	0.153449i
$732$	−0.416794			−0.0154051
$733$	−10.1135	+	44.3102i	−0.373551	+	1.63663i	0.343169	+	0.939274i	$0.388500\pi$
$733$	−10.1135	+	44.3102i	−0.373551	+	1.63663i	−0.716720	+	0.697361i	$0.754357\pi$
$734$	−1.98072	−	8.67812i	−0.0731099	−	0.320315i
$735$	16.7954	+	8.08822i	0.619507	+	0.298339i
$736$	−0.928268	+	1.16401i	−0.0342164	+	0.0429060i
$737$	−9.03756			−0.332903
$738$	−28.4476			−1.04717
$739$	15.3135	−	19.2025i	0.563315	−	0.706375i	−0.415852	−	0.909432i	$-0.636516\pi$
$739$	15.3135	−	19.2025i	0.563315	−	0.706375i	0.979167	+	0.203058i	$0.0650879\pi$
$740$	3.82260	−	1.84087i	0.140521	−	0.0676716i
$741$	−5.79874	−	7.27140i	−0.213022	−	0.267121i
$742$	−11.6847	+	5.62707i	−0.428960	+	0.206576i
$743$	4.68478	−	20.5253i	0.171868	−	0.753002i	−0.813361	−	0.581759i	$-0.802365\pi$
$743$	4.68478	−	20.5253i	0.171868	−	0.753002i	0.985229	−	0.171243i	$-0.0547783\pi$
$744$	−3.95702	+	4.96195i	−0.145071	+	0.181914i
$745$	−9.19869	+	40.3021i	−0.337014	+	1.47655i
$746$	−33.6569	−	16.2083i	−1.23226	−	0.593427i
$747$	−0.867060	−	1.08726i	−0.0317241	−	0.0397807i
$748$	0.384574	+	0.482240i	0.0140614	+	0.0176325i
$749$	−9.71470	−	42.5629i	−0.354968	−	1.55521i
$750$	−12.5442	−	6.04098i	−0.458050	−	0.220585i
$751$	14.5722	−	7.01758i	0.531746	−	0.256075i	−0.148689	−	0.988884i	$-0.547505\pi$
$751$	14.5722	−	7.01758i	0.531746	−	0.256075i	0.680435	+	0.732809i	$0.261791\pi$
$752$	8.20298	+	35.9396i	0.299132	+	1.31058i
$753$	4.09415	+	17.9376i	0.149199	+	0.653684i
$754$	7.99747	−	3.85138i	0.291251	−	0.140259i
$755$	−20.0756	−	9.66788i	−0.730624	−	0.351850i
$756$	1.13241	+	4.96141i	0.0411853	+	0.180445i
$757$	24.0847	+	30.2013i	0.875375	+	1.09769i	0.994493	+	0.104805i	$0.0334220\pi$
$757$	24.0847	+	30.2013i	0.875375	+	1.09769i	−0.119118	+	0.992880i	$0.538007\pi$
$758$	25.4913	+	31.9650i	0.925884	+	1.16102i
$759$	1.76013	+	0.847634i	0.0638887	+	0.0307672i
$760$	5.17051	−	22.6535i	0.187554	−	0.821728i
$761$	7.20218	−	9.03125i	0.261079	−	0.327383i	−0.633964	−	0.773363i	$-0.718573\pi$
$761$	7.20218	−	9.03125i	0.261079	−	0.327383i	0.895043	+	0.445980i	$0.147145\pi$
$762$	2.96779	−	13.0027i	0.107512	−	0.471040i
$763$	−2.86648	+	1.38042i	−0.103774	+	0.0499747i
$764$	−3.53148	−	4.42833i	−0.127764	−	0.160211i
$765$	4.71066	−	2.26853i	0.170314	−	0.0820190i
$766$	−4.39612	+	5.51257i	−0.158838	+	0.199177i
$767$	26.1108			0.942807
$768$	5.85505			0.211276
$769$	5.26317	−	6.59981i	0.189795	−	0.237995i	−0.677825	−	0.735223i	$-0.737077\pi$
$769$	5.26317	−	6.59981i	0.189795	−	0.237995i	0.867620	+	0.497228i	$0.165649\pi$
$770$	−28.8460	−	13.8915i	−1.03954	−	0.500616i
$771$	4.83207	+	21.1707i	0.174023	+	0.762443i
$772$	−1.15466	+	5.05891i	−0.0415573	+	0.182074i
$773$	−34.2082			−1.23038			−0.615192	−	0.788377i	$-0.710921\pi$
$773$	−34.2082			−1.23038			−0.615192	+	0.788377i	$0.710921\pi$
$774$	−20.9967	+	5.05410i	−0.754709	+	0.181666i
$775$	1.98017			0.0711296
$776$	3.51908	−	15.4181i	0.126328	−	0.553477i
$777$	−5.12042	−	22.4340i	−0.183694	−	0.804816i
$778$	−29.6245	−	14.2664i	−1.06209	−	0.511476i
$779$	−20.0859	+	25.1870i	−0.719653	+	0.902416i
$780$	−1.64175			−0.0587840
$781$	6.97413			0.249554
$782$	−0.906330	+	1.13650i	−0.0324103	+	0.0406412i
$783$	−8.99888	+	4.33363i	−0.321594	+	0.154871i
$784$	−24.0356	−	30.1397i	−0.858415	−	1.07642i
$785$	−37.8892	+	18.2465i	−1.35232	+	0.651245i
$786$	2.13654	−	9.36079i	0.0762078	−	0.333888i
$787$	−17.8762	+	22.4160i	−0.637217	+	0.799045i	−0.990652	−	0.136414i	$-0.956442\pi$
$787$	−17.8762	+	22.4160i	−0.637217	+	0.799045i	0.353435	+	0.935459i	$0.385014\pi$
$788$	1.41196	−	6.18618i	0.0502988	−	0.220374i
$789$	−2.38451	−	1.14832i	−0.0848909	−	0.0408813i
$790$	24.1821	+	30.3234i	0.860361	+	1.07886i
$791$	−30.8301	−	38.6597i	−1.09619	−	1.37458i
$792$	2.83606	+	12.4256i	0.100775	+	0.441524i
$793$	4.17139	+	2.00884i	0.148130	+	0.0713359i
$794$	47.7389	−	22.9898i	1.69419	−	0.815878i
$795$	1.04758	+	4.58977i	0.0371540	+	0.162782i
$796$	0.905141	+	3.96568i	0.0320819	+	0.140560i
$797$	−49.7701	+	23.9680i	−1.76295	+	0.848992i	−0.791706	+	0.610903i	$0.790807\pi$
$797$	−49.7701	+	23.9680i	−1.76295	+	0.848992i	−0.971243	+	0.238089i	$0.923479\pi$
$798$	18.0972	+	8.71515i	0.640634	+	0.308513i
$799$	1.83335	+	8.03244i	0.0648594	+	0.284167i
$800$	−0.706513	−	0.885939i	−0.0249790	−	0.0313227i
$801$	−4.52509	−	5.67428i	−0.159886	−	0.200491i
$802$	−0.383283	−	0.184579i	−0.0135342	−	0.00651772i
$803$	2.19479	−	9.61600i	0.0774524	−	0.339341i
$804$	0.624033	−	0.782512i	0.0220079	−	0.0275971i
$805$	2.02926	−	8.89075i	0.0715218	−	0.313358i
$806$	−10.1240	+	4.87545i	−0.356602	+	0.171731i
$807$	−3.72395	−	4.66969i	−0.131089	−	0.164381i
$808$	7.24141	−	3.48728i	0.254752	−	0.122682i
$809$	2.73442	−	3.42885i	0.0961371	−	0.120552i	−0.731436	−	0.681910i	$-0.761150\pi$
$809$	2.73442	−	3.42885i	0.0961371	−	0.120552i	0.827573	+	0.561358i	$0.189721\pi$
$810$	−8.37325			−0.294206
$811$	−46.8530			−1.64523			−0.822616	−	0.568598i	$-0.807486\pi$
$811$	−46.8530			−1.64523			−0.822616	+	0.568598i	$0.807486\pi$
$812$	−1.44461	+	1.81149i	−0.0506960	+	0.0635708i
$813$	−0.323662	−	0.155867i	−0.0113513	−	0.00546650i
$814$	4.85217	+	21.2587i	0.170068	+	0.745118i
$815$	−7.16675	+	31.3996i	−0.251040	+	1.09988i
$816$	4.04291			0.141530
$817$	−10.3503	+	22.1586i	−0.362110	+	0.775231i
$818$	−0.0495753			−0.00173336
$819$	5.29892	−	23.2161i	0.185159	−	0.811236i
$820$	1.26542	+	5.54417i	0.0441904	+	0.193611i
$821$	3.85825	+	1.85804i	0.134654	+	0.0648459i	0.499998	−	0.866027i	$-0.333334\pi$
$821$	3.85825	+	1.85804i	0.134654	+	0.0648459i	−0.365344	+	0.930873i	$0.619049\pi$
$822$	−3.82971	+	4.80230i	−0.133576	+	0.167500i
$823$	−53.9647			−1.88109			−0.940546	−	0.339666i	$-0.889686\pi$
$823$	−53.9647			−1.88109			−0.940546	+	0.339666i	$0.889686\pi$
$824$	17.4260			0.607064
$825$	−0.927068	+	1.16251i	−0.0322764	+	0.0404733i
$826$	−50.8074	+	24.4676i	−1.76782	+	0.851336i
$827$	−22.3291	−	27.9998i	−0.776459	−	0.973648i	0.223541	−	0.974695i	$-0.428238\pi$
$827$	−22.3291	−	27.9998i	−0.776459	−	0.973648i	−0.999999	+	0.00104611i	$0.999667\pi$
$828$	0.521310	−	0.251050i	0.0181168	−	0.00872458i
$829$	−6.67398	+	29.2406i	−0.231797	+	1.01557i	0.716352	+	0.697740i	$0.245811\pi$
$829$	−6.67398	+	29.2406i	−0.231797	+	1.01557i	−0.948148	+	0.317828i	$0.897046\pi$
$830$	−1.43412	+	1.79833i	−0.0497790	+	0.0624209i
$831$	4.18669	−	18.3431i	0.145235	−	0.636314i
$832$	−16.4569	−	7.92522i	−0.570540	−	0.274758i
$833$	−5.37192	−	6.73618i	−0.186126	−	0.233395i
$834$	−17.4311	−	21.8579i	−0.603590	−	0.756878i
$835$	−2.20861	−	9.67657i	−0.0764322	−	0.334872i
$836$	−2.07264	−	0.998131i	−0.0716838	−	0.0345211i
$837$	11.3917	−	5.48594i	0.393754	−	0.189622i
$838$	8.79397	+	38.5289i	0.303783	+	1.33096i
$839$	5.90639	+	25.8776i	0.203911	+	0.893394i	0.968527	+	0.248908i	$0.0800716\pi$
$839$	5.90639	+	25.8776i	0.203911	+	0.893394i	−0.764616	+	0.644486i	$0.777071\pi$
$840$	−20.0429	+	9.65214i	−0.691545	+	0.333030i
$841$	22.0310	+	10.6096i	0.759689	+	0.365847i
$842$	−8.63895	−	37.8497i	−0.297718	−	1.30439i
$843$	−2.79936	−	3.51029i	−0.0964151	−	0.120901i
$844$	1.72408	+	2.16193i	0.0593453	+	0.0744166i
$845$	−11.6145	−	5.59325i	−0.399551	−	0.192414i
$846$	6.03799	−	26.4542i	0.207590	−	0.909513i
$847$	−14.7028	+	18.4367i	−0.505193	+	0.633491i
$848$	2.16638	−	9.49155i	0.0743939	−	0.325941i
$849$	2.84851	−	1.37177i	0.0977607	−	0.0470791i
$850$	−0.689816	−	0.865002i	−0.0236605	−	0.0296693i
$851$	−5.59582	+	2.69481i	−0.191822	+	0.0923768i
$852$	−0.481555	+	0.603851i	−0.0164978	+	0.0206876i
$853$	38.4508			1.31653			0.658265	−	0.752786i	$-0.271291\pi$
$853$	38.4508			1.31653			0.658265	+	0.752786i	$0.271291\pi$
$854$	−9.99927			−0.342168
$855$	−12.1581	+	15.2457i	−0.415798	+	0.521394i
$856$	25.8984	+	12.4720i	0.885188	+	0.426284i
$857$	0.411465	+	1.80275i	0.0140554	+	0.0615807i	0.981469	−	0.191620i	$-0.0613740\pi$
$857$	0.411465	+	1.80275i	0.0140554	+	0.0615807i	−0.967414	+	0.253200i	$0.918517\pi$
$858$	1.87756	−	8.22612i	0.0640988	−	0.280835i
$859$	27.2475			0.929673			0.464836	−	0.885397i	$-0.346113\pi$
$859$	27.2475			0.929673			0.464836	+	0.885397i	$0.346113\pi$
$860$	1.91898	+	3.86724i	0.0654368	+	0.131872i
$861$	30.8426			1.05111
$862$	−7.51131	+	32.9092i	−0.255836	+	1.12089i
$863$	12.9107	+	56.5654i	0.439485	+	1.92551i	0.373328	+	0.927699i	$0.378217\pi$
$863$	12.9107	+	56.5654i	0.439485	+	1.92551i	0.0661567	+	0.997809i	$0.478926\pi$
$864$	−6.51894	−	3.13935i	−0.221779	−	0.106803i
$865$	12.3833	−	15.5282i	0.421046	−	0.527975i
$866$	11.8501			0.402682
$867$	0.903583			0.0306873
$868$	1.82873	−	2.29316i	0.0620713	−	0.0778349i
$869$	−21.7057	+	10.4529i	−0.736315	+	0.354590i
$870$	4.33889	+	5.44080i	0.147102	+	0.184460i
$871$	−10.0170	+	4.82393i	−0.339413	+	0.163453i
$872$	0.466138	−	2.04228i	0.0157854	−	0.0691604i
$873$	−8.27486	+	10.3763i	−0.280062	+	0.351186i
$874$	1.20640	−	5.28559i	0.0408072	−	0.178788i
$875$	−36.3725	−	17.5161i	−1.22961	−	0.592151i
$876$	0.681049	+	0.854008i	0.0230105	+	0.0288543i
$877$	15.8462	+	19.8706i	0.535090	+	0.670981i	0.973736	−	0.227678i	$-0.0731135\pi$
$877$	15.8462	+	19.8706i	0.535090	+	0.670981i	−0.438647	+	0.898660i	$0.644542\pi$
$878$	7.89454	+	34.5882i	0.266428	+	1.16730i
$879$	−8.98560	−	4.32724i	−0.303077	−	0.145954i
$880$	21.6542	−	10.4281i	0.729963	−	0.351532i
$881$	2.46058	+	10.7805i	0.0828992	+	0.363205i	0.999314	−	0.0370239i	$-0.0117878\pi$
$881$	2.46058	+	10.7805i	0.0828992	+	0.363205i	−0.916415	+	0.400229i	$0.868931\pi$
$882$	6.31420	+	27.6643i	0.212610	+	0.931505i
$883$	−25.7013	+	12.3771i	−0.864918	+	0.416522i	−0.813093	−	0.582134i	$-0.802218\pi$
$883$	−25.7013	+	12.3771i	−0.864918	+	0.416522i	−0.0518247	+	0.998656i	$0.516504\pi$
$884$	0.683655	+	0.329231i	0.0229938	+	0.0110732i
$885$	4.55510	+	19.9572i	0.153118	+	0.670854i
$886$	24.4243	+	30.6272i	0.820552	+	1.02894i
$887$	−0.285635	−	0.358175i	−0.00959069	−	0.0120263i	0.777013	−	0.629485i	$-0.216734\pi$
$887$	−0.285635	−	0.358175i	−0.00959069	−	0.0120263i	−0.786604	+	0.617458i	$0.788162\pi$
$888$	13.6505	+	6.57373i	0.458081	+	0.220600i
$889$	8.60524	−	37.7020i	0.288610	−	1.26448i
$890$	−7.48451	+	9.38528i	−0.250881	+	0.314595i
$891$	1.15735	−	5.07067i	0.0387726	−	0.169874i
$892$	2.27880	−	1.09741i	0.0762998	−	0.0367440i
$893$	−19.1588	−	24.0244i	−0.641125	−	0.803945i
$894$	21.1986	−	10.2087i	0.708988	−	0.341431i
$895$	−24.0142	+	30.1129i	−0.802707	+	1.00656i
$896$	51.6581			1.72578
$897$	2.40332			0.0802446
$898$	18.4830	−	23.1769i	0.616784	−	0.773423i
$899$	5.18654	+	2.49770i	0.172981	+	0.0833031i
$900$	0.0979951	+	0.429344i	0.00326650	+	0.0143115i
$901$	0.484184	−	2.12135i	0.0161305	−	0.0706723i
$902$	−29.2267			−0.973144
$903$	22.7643	−	5.47960i	0.757550	−	0.182350i
$904$	32.5574			1.08284
$905$	3.08743	−	13.5269i	0.102630	−	0.449649i
$906$	2.82210	+	12.3644i	0.0937578	+	0.410780i
$907$	8.12256	+	3.91162i	0.269705	+	0.129883i	0.563849	−	0.825878i	$-0.309320\pi$
$907$	8.12256	+	3.91162i	0.269705	+	0.129883i	−0.294144	+	0.955761i	$0.595034\pi$
$908$	−3.51696	+	4.41013i	−0.116715	+	0.146355i
$909$	−6.74507			−0.223720
$910$	−39.3870			−1.30567
$911$	14.2113	−	17.8205i	0.470843	−	0.590418i	−0.488534	−	0.872545i	$-0.662468\pi$
$911$	14.2113	−	17.8205i	0.470843	−	0.590418i	0.959377	+	0.282126i	$0.0910397\pi$
$912$	−13.5852	+	6.54231i	−0.449852	+	0.216637i
$913$	−0.890808	−	1.11704i	−0.0294815	−	0.0369686i
$914$	41.4994	−	19.9851i	1.37268	−	0.661048i
$915$	−0.807698	+	3.53875i	−0.0267017	+	0.116988i
$916$	−2.44542	+	3.06646i	−0.0807989	+	0.101319i
$917$	6.19498	−	27.1420i	0.204576	−	0.896308i
$918$	−6.36488	−	3.06516i	−0.210072	−	0.101165i
$919$	15.8478	+	19.8725i	0.522771	+	0.655535i	0.971195	−	0.238287i	$-0.0765858\pi$
$919$	15.8478	+	19.8725i	0.522771	+	0.655535i	−0.448423	+	0.893821i	$0.648014\pi$
$920$	3.74368	+	4.69443i	0.123426	+	0.154771i
$921$	4.15976	+	18.2251i	0.137069	+	0.600538i
$922$	6.15785	+	2.96547i	0.202798	+	0.0976624i
$923$	7.72994	−	3.72254i	0.254434	−	0.122529i
$924$	0.490087	+	2.14721i	0.0161227	+	0.0706380i
$925$	−1.05189	−	4.60865i	−0.0345861	−	0.151531i
$926$	17.1851	−	8.27593i	0.564739	−	0.271964i
$927$	−13.1759	−	6.34519i	−0.432754	−	0.208403i
$928$	−0.733040	−	3.21166i	−0.0240632	−	0.105428i
$929$	8.08187	+	10.1343i	0.265157	+	0.332497i	0.896530	−	0.442983i	$-0.146080\pi$
$929$	8.08187	+	10.1343i	0.265157	+	0.332497i	−0.631373	+	0.775479i	$0.717508\pi$
$930$	−5.49260	−	6.88750i	−0.180109	−	0.225850i
$931$	28.9517	+	13.9424i	0.948854	+	0.456944i
$932$	−1.73724	+	7.61136i	−0.0569053	+	0.249318i
$933$	8.82153	−	11.0619i	0.288804	−	0.362149i
$934$	−2.12672	+	9.31778i	−0.0695885	+	0.304887i
$935$	4.83968	−	2.33067i	0.158274	−	0.0762210i
$936$	9.77575	+	12.2584i	0.319530	+	0.400678i
$937$	7.65893	−	3.68834i	0.250206	−	0.120493i	−0.304578	−	0.952488i	$-0.598515\pi$
$937$	7.65893	−	3.68834i	0.250206	−	0.120493i	0.554784	+	0.831995i	$0.312801\pi$
$938$	14.9711	−	18.7732i	0.488824	−	0.612966i
$939$	27.7608			0.905939
$940$	−5.42426			−0.176920
$941$	−7.95686	+	9.97759i	−0.259386	+	0.325260i	−0.894423	−	0.447222i	$-0.852413\pi$
$941$	−7.95686	+	9.97759i	−0.259386	+	0.325260i	0.635037	+	0.772482i	$0.280985\pi$
$942$	21.5654	+	10.3854i	0.702640	+	0.338374i
$943$	−1.85243	−	8.11601i	−0.0603233	−	0.264294i
$944$	9.41986	−	41.2711i	0.306590	−	1.34326i
$945$	44.3189			1.44169
$946$	−21.5717	+	5.19253i	−0.701358	+	0.168824i
$947$	−13.0081			−0.422707			−0.211353	−	0.977410i	$-0.567787\pi$
$947$	−13.0081			−0.422707			−0.211353	+	0.977410i	$0.567787\pi$
$948$	0.593692	−	2.60114i	0.0192822	−	0.0844809i
$949$	−2.70004	−	11.8296i	−0.0876469	−	0.384006i
$950$	3.71773	+	1.79036i	0.120619	+	0.0580871i
$951$	−2.23470	+	2.80222i	−0.0724650	+	0.0908683i
$952$	10.2818			0.333236
$953$	−37.6645			−1.22007			−0.610037	−	0.792373i	$-0.708845\pi$
$953$	−37.6645			−1.22007			−0.610037	+	0.792373i	$0.708845\pi$
$954$	−4.46802	+	5.60272i	−0.144657	+	0.181395i
$955$	−44.4420	+	21.4021i	−1.43811	+	0.692556i
$956$	−3.36867	−	4.22418i	−0.108951	−	0.136620i
$957$	−3.89456	+	1.87552i	−0.125893	+	0.0606270i
$958$	12.7362	−	55.8009i	0.411487	−	1.80284i
$959$	−11.1044	+	13.9245i	−0.358580	+	0.449645i
$960$	3.18651	−	13.9610i	0.102844	−	0.450590i
$961$	21.3644	+	10.2886i	0.689174	+	0.331889i
$962$	16.7252	+	20.9727i	0.539242	+	0.676187i
$963$	−15.0406	−	18.8603i	−0.484677	−	0.607765i
$964$	−0.662821	−	2.90401i	−0.0213480	−	0.0935318i
$965$	40.7147	+	19.6072i	1.31065	+	0.631177i
$966$	−4.67648	+	2.25207i	−0.150463	+	0.0724592i
$967$	9.66743	+	42.3558i	0.310884	+	1.36207i	0.853063	+	0.521808i	$0.174742\pi$
$967$	9.66743	+	42.3558i	0.310884	+	1.36207i	−0.542179	+	0.840263i	$0.682401\pi$
$968$	−3.45497	−	15.1372i	−0.111047	−	0.486528i
$969$	−3.03628	+	1.46220i	−0.0975394	+	0.0469725i
$970$	19.7778	+	9.52448i	0.635026	+	0.305813i
$971$	−9.84712	−	43.1431i	−0.316009	−	1.38453i	−0.844485	−	0.535578i	$-0.820094\pi$
$971$	−9.84712	−	43.1431i	−0.316009	−	1.38453i	0.528476	−	0.848948i	$-0.322764\pi$
$972$	2.76792	+	3.47086i	0.0887811	+	0.111328i
$973$	−50.5422	−	63.3779i	−1.62031	−	2.03180i
$974$	14.8822	+	7.16688i	0.476856	+	0.229642i
$975$	−0.407033	+	1.78333i	−0.0130355	+	0.0571122i
$976$	4.68008	−	5.86864i	0.149806	−	0.187850i
$977$	11.8104	−	51.7448i	0.377848	−	1.65546i	−0.326193	−	0.945303i	$-0.605766\pi$
$977$	11.8104	−	51.7448i	0.377848	−	1.65546i	0.704041	−	0.710159i	$-0.251377\pi$
$978$	16.5160	−	7.95367i	0.528123	−	0.254330i
$979$	−4.64903	−	5.82970i	−0.148584	−	0.186318i
$980$	5.11065	−	2.46116i	0.163254	−	0.0786188i
$981$	−1.09609	+	1.37445i	−0.0349954	+	0.0438829i
$982$	−6.12893			−0.195582
$983$	−54.7375			−1.74585			−0.872927	−	0.487850i	$-0.837781\pi$
$983$	−54.7375			−1.74585			−0.872927	+	0.487850i	$0.837781\pi$
$984$	−12.6615	+	15.8770i	−0.403633	+	0.506139i
$985$	−49.7870	−	23.9762i	−1.58635	−	0.763945i
$986$	−0.715717	−	3.13576i	−0.0227931	−	0.0998630i
$987$	−6.54633	+	28.6813i	−0.208372	+	0.912937i
$988$	−2.83003			−0.0900352
$989$	−2.80916	−	5.66117i	−0.0893261	−	0.180015i
$990$	−17.6910			−0.562258
$991$	−12.3246	+	53.9978i	−0.391505	+	1.71530i	0.267847	+	0.963462i	$0.413688\pi$
$991$	−12.3246	+	53.9978i	−0.391505	+	1.71530i	−0.659352	+	0.751834i	$0.729169\pi$
$992$	0.927955	+	4.06563i	0.0294626	+	0.129084i
$993$	16.8386	+	8.10905i	0.534357	+	0.257333i
$994$	−11.5529	+	14.4869i	−0.366437	+	0.459498i
$995$	35.4243			1.12303
$996$	0.158227			0.00501363
$997$	9.23651	−	11.5822i	0.292523	−	0.366812i	−0.613753	−	0.789498i	$-0.710341\pi$
$997$	9.23651	−	11.5822i	0.292523	−	0.366812i	0.906276	+	0.422685i	$0.138912\pi$
$998$	−39.4470	+	18.9967i	−1.24867	+	0.601328i
$999$	−18.8194	−	23.5988i	−0.595421	−	0.746634i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	731.2.k.b.35.8	✓	180
43.16	even	7	inner	731.2.k.b.188.8	yes	180

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
731.2.k.b.35.8	✓	180	1.1	even	1	trivial
731.2.k.b.188.8	yes	180	43.16	even	7	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:	\( N \)	\(=\)	\( 731 = 17 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	731.k (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.335627 + 1.47048i) q^{2} +(-0.201066 - 0.880929i) q^{3} +(-0.247722 - 0.119297i) q^{4} +(-1.49293 + 1.87208i) q^{5} +1.36287 q^{6} +3.95170 q^{7} +(-1.62225 + 2.03423i) q^{8} +(1.96730 - 0.947401i) q^{9} +O(q^{10})\)	\(q+(-0.335627 + 1.47048i) q^{2} +(-0.201066 - 0.880929i) q^{3} +(-0.247722 - 0.119297i) q^{4} +(-1.49293 + 1.87208i) q^{5} +1.36287 q^{6} +3.95170 q^{7} +(-1.62225 + 2.03423i) q^{8} +(1.96730 - 0.947401i) q^{9} +(-2.25178 - 2.82365i) q^{10} +(2.02118 - 0.973350i) q^{11} +(-0.0552833 + 0.242212i) q^{12} +(1.72069 - 2.15767i) q^{13} +(-1.32630 + 5.81088i) q^{14} +(1.94935 + 0.938756i) q^{15} +(-2.78968 - 3.49815i) q^{16} +(-0.623490 - 0.781831i) q^{17} +(0.732854 + 3.21084i) q^{18} +(3.36027 + 1.61822i) q^{19} +(0.593165 - 0.285653i) q^{20} +(-0.794552 - 3.48116i) q^{21} +(0.752927 + 3.29879i) q^{22} +(-0.868322 + 0.418162i) q^{23} +(2.11819 + 1.02007i) q^{24} +(-0.163226 - 0.715139i) q^{25} +(2.59530 + 3.25440i) q^{26} +(-2.92028 - 3.66191i) q^{27} +(-0.978921 - 0.471424i) q^{28} +(0.474521 - 2.07901i) q^{29} +(-2.03467 + 2.55140i) q^{30} +(-0.600695 + 2.63182i) q^{31} +(1.39182 - 0.670264i) q^{32} +(-1.26384 - 1.58481i) q^{33} +(1.35893 - 0.654424i) q^{34} +(-5.89962 + 7.39789i) q^{35} -0.600365 q^{36} +6.44441 q^{37} +(-3.50735 + 4.39808i) q^{38} +(-2.24673 - 1.08197i) q^{39} +(-1.38634 - 6.07395i) q^{40} +(-1.92207 + 8.42114i) q^{41} +5.38564 q^{42} +(0.0774838 + 6.55698i) q^{43} -0.616809 q^{44} +(-1.16344 + 5.09735i) q^{45} +(-0.323466 - 1.41720i) q^{46} +(-7.42309 - 3.57477i) q^{47} +(-2.52071 + 3.16087i) q^{48} +8.61590 q^{49} +1.10638 q^{50} +(-0.563375 + 0.706450i) q^{51} +(-0.683655 + 0.329231i) q^{52} +(1.35665 + 1.70119i) q^{53} +(6.36488 - 3.06516i) q^{54} +(-1.19530 + 5.23696i) q^{55} +(-6.41062 + 8.03867i) q^{56} +(0.749899 - 3.28552i) q^{57} +(2.89788 + 1.39554i) q^{58} +(5.89899 + 7.39710i) q^{59} +(-0.370905 - 0.465101i) q^{60} +(0.373310 + 1.63558i) q^{61} +(-3.66842 - 1.76662i) q^{62} +(7.77417 - 3.74384i) q^{63} +(-1.47278 - 6.45265i) q^{64} +(1.47046 + 6.44252i) q^{65} +(2.75461 - 1.32655i) q^{66} +(-3.62965 - 1.74795i) q^{67} +(0.0611822 + 0.268057i) q^{68} +(0.542961 + 0.680852i) q^{69} +(-8.89836 - 11.1582i) q^{70} +(2.80094 + 1.34886i) q^{71} +(-1.26421 + 5.53886i) q^{72} +(2.74129 - 3.43747i) q^{73} +(-2.16292 + 9.47636i) q^{74} +(-0.597167 + 0.287581i) q^{75} +(-0.639364 - 0.801737i) q^{76} +(7.98710 - 3.84638i) q^{77} +(2.34507 - 2.94063i) q^{78} -10.7391 q^{79} +10.7136 q^{80} +(1.44553 - 1.81263i) q^{81} +(-11.7380 - 5.65273i) q^{82} +(-0.141720 - 0.620914i) q^{83} +(-0.218463 + 0.957147i) q^{84} +2.39448 q^{85} +(-9.66790 - 2.08676i) q^{86} -1.92687 q^{87} +(-1.29884 + 5.69057i) q^{88} +(-0.739618 - 3.24048i) q^{89} +(-7.10505 - 3.42161i) q^{90} +(6.79963 - 8.52647i) q^{91} +0.264988 q^{92} +2.43922 q^{93} +(7.74802 - 9.71570i) q^{94} +(-8.04609 + 3.87479i) q^{95} +(-0.870302 - 1.09132i) q^{96} +(-5.47622 + 2.63721i) q^{97} +(-2.89173 + 12.6695i) q^{98} +(3.05412 - 3.82974i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 180 q + 2 q^{3} - 34 q^{4} + 2 q^{5} + 6 q^{6} - 54 q^{7} + 14 q^{8} - 18 q^{9}+O(q^{10}) \) 180 * q + 2 * q^3 - 34 * q^4 + 2 * q^5 + 6 * q^6 - 54 * q^7 + 14 * q^8 - 18 * q^9	\( 180 q + 2 q^{3} - 34 q^{4} + 2 q^{5} + 6 q^{6} - 54 q^{7} + 14 q^{8} - 18 q^{9} - 8 q^{10} + 4 q^{11} - 4 q^{12} - 5 q^{13} + 24 q^{14} + 11 q^{15} - 58 q^{16} + 30 q^{17} - 84 q^{18} - 4 q^{20} - 28 q^{21} - 49 q^{22} - 23 q^{23} - 6 q^{24} - 14 q^{25} + 14 q^{26} + 20 q^{27} - 14 q^{28} - 60 q^{29} - 5 q^{30} + 36 q^{31} + 39 q^{32} - 39 q^{33} - 14 q^{35} + 224 q^{36} - 184 q^{37} + 32 q^{38} + 58 q^{39} + 22 q^{40} - 48 q^{41} - 58 q^{42} + 2 q^{43} + 134 q^{44} - 54 q^{45} - 5 q^{46} - 35 q^{47} + 44 q^{48} + 174 q^{49} - 70 q^{50} - 2 q^{51} - 22 q^{52} + 8 q^{53} + 70 q^{54} + 51 q^{55} - 61 q^{56} + 72 q^{57} + 29 q^{58} + 35 q^{59} + 96 q^{60} - 40 q^{61} + 20 q^{62} - 35 q^{63} - 18 q^{64} - 17 q^{65} - 218 q^{66} + 16 q^{67} + 27 q^{68} + 50 q^{69} + 72 q^{70} - 20 q^{71} - 143 q^{72} - 4 q^{73} - 35 q^{74} - 45 q^{75} - 148 q^{76} + 40 q^{77} - 220 q^{78} - 12 q^{79} - 222 q^{80} + 12 q^{81} + 50 q^{82} + 16 q^{83} - 170 q^{84} - 2 q^{85} + 108 q^{86} + 78 q^{87} - 14 q^{88} + 55 q^{89} + 105 q^{90} - 53 q^{91} - 28 q^{92} - 142 q^{93} + 108 q^{94} - 49 q^{95} - 148 q^{96} + 73 q^{97} + 6 q^{98} - 73 q^{99}+O(q^{100}) \) 180 * q + 2 * q^3 - 34 * q^4 + 2 * q^5 + 6 * q^6 - 54 * q^7 + 14 * q^8 - 18 * q^9 - 8 * q^10 + 4 * q^11 - 4 * q^12 - 5 * q^13 + 24 * q^14 + 11 * q^15 - 58 * q^16 + 30 * q^17 - 84 * q^18 - 4 * q^20 - 28 * q^21 - 49 * q^22 - 23 * q^23 - 6 * q^24 - 14 * q^25 + 14 * q^26 + 20 * q^27 - 14 * q^28 - 60 * q^29 - 5 * q^30 + 36 * q^31 + 39 * q^32 - 39 * q^33 - 14 * q^35 + 224 * q^36 - 184 * q^37 + 32 * q^38 + 58 * q^39 + 22 * q^40 - 48 * q^41 - 58 * q^42 + 2 * q^43 + 134 * q^44 - 54 * q^45 - 5 * q^46 - 35 * q^47 + 44 * q^48 + 174 * q^49 - 70 * q^50 - 2 * q^51 - 22 * q^52 + 8 * q^53 + 70 * q^54 + 51 * q^55 - 61 * q^56 + 72 * q^57 + 29 * q^58 + 35 * q^59 + 96 * q^60 - 40 * q^61 + 20 * q^62 - 35 * q^63 - 18 * q^64 - 17 * q^65 - 218 * q^66 + 16 * q^67 + 27 * q^68 + 50 * q^69 + 72 * q^70 - 20 * q^71 - 143 * q^72 - 4 * q^73 - 35 * q^74 - 45 * q^75 - 148 * q^76 + 40 * q^77 - 220 * q^78 - 12 * q^79 - 222 * q^80 + 12 * q^81 + 50 * q^82 + 16 * q^83 - 170 * q^84 - 2 * q^85 + 108 * q^86 + 78 * q^87 - 14 * q^88 + 55 * q^89 + 105 * q^90 - 53 * q^91 - 28 * q^92 - 142 * q^93 + 108 * q^94 - 49 * q^95 - 148 * q^96 + 73 * q^97 + 6 * q^98 - 73 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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