LMFDB - Embedded newform 230.2.j.a.29.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [230,2,Mod(9,230)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(230, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 10]))

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

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

chi := DirichletCharacter("230.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 230 = 2 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	230.j (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.83655924649$
Analytic rank:	$0$
Dimension:	$120$
Relative dimension:	$12$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			29.2
Character	$\chi$	$=$	230.29
Dual form			230.2.j.a.119.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.909632 - 0.415415i) q^{2} +(-0.642787 + 2.18913i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-1.99872 - 1.00255i) q^{5} +(1.49410 - 1.72428i) q^{6} +(-2.70319 - 0.388660i) q^{7} +(-0.281733 - 0.959493i) q^{8} +(-1.85536 - 1.19237i) q^{9} +O(q^{10})$	\(q+(-0.909632 - 0.415415i) q^{2} +(-0.642787 + 2.18913i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-1.99872 - 1.00255i) q^{5} +(1.49410 - 1.72428i) q^{6} +(-2.70319 - 0.388660i) q^{7} +(-0.281733 - 0.959493i) q^{8} +(-1.85536 - 1.19237i) q^{9} +(1.40163 + 1.74225i) q^{10} +(-1.73828 - 3.80631i) q^{11} +(-2.07537 + 0.947790i) q^{12} +(4.03372 - 0.579962i) q^{13} +(2.29745 + 1.47648i) q^{14} +(3.47947 - 3.73104i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(-1.45107 - 1.25736i) q^{17} +(1.19237 + 1.85536i) q^{18} +(-3.27267 - 3.77686i) q^{19} +(-0.551205 - 2.16707i) q^{20} +(2.58840 - 5.66781i) q^{21} +4.18445i q^{22} +(-4.14065 - 2.41971i) q^{23} +2.28155 q^{24} +(2.98978 + 4.00765i) q^{25} +(-3.91013 - 1.14812i) q^{26} +(-1.36999 + 1.18711i) q^{27} +(-1.47648 - 2.29745i) q^{28} +(-2.14012 + 2.46982i) q^{29} +(-4.71497 + 1.94844i) q^{30} +(-6.90452 + 2.02735i) q^{31} +(0.540641 - 0.841254i) q^{32} +(9.44986 - 1.35868i) q^{33} +(0.797613 + 1.74653i) q^{34} +(5.01327 + 3.48691i) q^{35} +(-0.313871 - 2.18302i) q^{36} +(0.263977 - 0.410756i) q^{37} +(1.40796 + 4.79507i) q^{38} +(-1.32321 + 9.20313i) q^{39} +(-0.398838 + 2.20021i) q^{40} +(-2.39886 + 1.54165i) q^{41} +(-4.70898 + 4.08036i) q^{42} +(-1.64150 + 5.59045i) q^{43} +(1.73828 - 3.80631i) q^{44} +(2.51293 + 4.24330i) q^{45} +(2.76128 + 3.92114i) q^{46} -12.6067i q^{47} +(-2.07537 - 0.947790i) q^{48} +(0.439715 + 0.129112i) q^{49} +(-1.05476 - 4.88748i) q^{50} +(3.68525 - 2.36837i) q^{51} +(3.07983 + 2.66869i) q^{52} +(0.0981459 + 0.0141113i) q^{53} +(1.73933 - 0.510714i) q^{54} +(-0.341682 + 9.35048i) q^{55} +(0.388660 + 2.70319i) q^{56} +(10.3717 - 4.73658i) q^{57} +(2.97272 - 1.35760i) q^{58} +(1.36487 + 9.49285i) q^{59} +(5.09830 + 0.186301i) q^{60} +(4.44190 - 1.30426i) q^{61} +(7.12276 + 1.02410i) q^{62} +(4.55196 + 3.94429i) q^{63} +(-0.841254 + 0.540641i) q^{64} +(-8.64373 - 2.88484i) q^{65} +(-9.16031 - 2.68971i) q^{66} +(10.0252 + 4.57837i) q^{67} -1.92004i q^{68} +(7.95862 - 7.50907i) q^{69} +(-3.11171 - 5.25439i) q^{70} +(5.81639 - 12.7361i) q^{71} +(-0.621352 + 2.11613i) q^{72} +(-9.10143 + 7.88643i) q^{73} +(-0.410756 + 0.263977i) q^{74} +(-10.6951 + 3.96895i) q^{75} +(0.711219 - 4.94664i) q^{76} +(3.21955 + 10.9648i) q^{77} +(5.02676 - 7.82178i) q^{78} +(0.565232 + 3.93127i) q^{79} +(1.27680 - 1.83570i) q^{80} +(-4.46667 - 9.78065i) q^{81} +(2.82251 - 0.405815i) q^{82} +(-5.85268 + 9.10695i) q^{83} +(5.97848 - 1.75544i) q^{84} +(1.63971 + 3.96788i) q^{85} +(3.81552 - 4.40334i) q^{86} +(-4.03113 - 6.27256i) q^{87} +(-3.16240 + 2.74023i) q^{88} +(-4.46925 - 1.31229i) q^{89} +(-0.523114 - 4.90376i) q^{90} -11.1293 q^{91} +(-0.882852 - 4.71387i) q^{92} -16.4181i q^{93} +(-5.23703 + 11.4675i) q^{94} +(2.75465 + 10.8299i) q^{95} +(1.49410 + 1.72428i) q^{96} +(-4.30573 - 6.69985i) q^{97} +(-0.346344 - 0.300109i) q^{98} +(-1.31338 + 9.13474i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) $ 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9	$ 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) $ 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9 + 8 * q^11 - 6 * q^15 - 12 * q^16 - 16 * q^19 - 22 * q^20 + 4 * q^24 - 52 * q^25 - 4 * q^26 - 8 * q^29 - 44 * q^30 + 12 * q^31 + 16 * q^35 - 8 * q^36 - 36 * q^39 - 28 * q^41 - 8 * q^44 + 16 * q^45 - 4 * q^46 - 58 * q^49 + 12 * q^50 - 24 * q^51 - 6 * q^54 - 36 * q^55 + 22 * q^56 - 102 * q^59 - 38 * q^60 + 72 * q^61 + 12 * q^64 - 138 * q^65 + 80 * q^66 - 212 * q^69 - 108 * q^70 + 176 * q^71 - 88 * q^74 - 100 * q^75 + 16 * q^76 - 104 * q^79 - 22 * q^80 - 28 * q^81 - 22 * q^84 + 2 * q^85 + 62 * q^86 + 48 * q^89 + 24 * q^90 - 56 * q^91 + 24 * q^94 + 18 * q^95 - 4 * q^96 + 188 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{9}{11}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.909632	−	0.415415i	−0.643207	−	0.293743i
$2$	−0.909632	−	0.415415i	−0.643207	−	0.293743i
$3$	−0.642787	+	2.18913i	−0.371113	+	1.26390i	0.536433	+	0.843943i	$0.319771\pi$
$3$	−0.642787	+	2.18913i	−0.371113	+	1.26390i	−0.907546	+	0.419952i	$0.862047\pi$
$4$	0.654861	+	0.755750i	0.327430	+	0.377875i
$5$	−1.99872	−	1.00255i	−0.893855	−	0.448355i
$5$	−1.99872	−	1.00255i	−0.893855	−	0.448355i
$6$	1.49410	−	1.72428i	0.609963	−	0.703934i
$7$	−2.70319	−	0.388660i	−1.02171	−	0.146900i	−0.388958	−	0.921255i	$-0.627165\pi$
$7$	−2.70319	−	0.388660i	−1.02171	−	0.146900i	−0.632750	+	0.774356i	$0.718074\pi$
$8$	−0.281733	−	0.959493i	−0.0996075	−	0.339232i
$9$	−1.85536	−	1.19237i	−0.618453	−	0.397456i
$10$	1.40163	+	1.74225i	0.443233	+	0.550949i
$11$	−1.73828	−	3.80631i	−0.524112	−	1.14765i	−0.967859	−	0.251493i	$-0.919078\pi$
$11$	−1.73828	−	3.80631i	−0.524112	−	1.14765i	0.443747	−	0.896152i	$-0.353649\pi$
$12$	−2.07537	+	0.947790i	−0.599108	+	0.273603i
$13$	4.03372	−	0.579962i	1.11875	−	0.160852i	0.441966	−	0.897032i	$-0.354281\pi$
$13$	4.03372	−	0.579962i	1.11875	−	0.160852i	0.676787	+	0.736179i	$0.263372\pi$
$14$	2.29745	+	1.47648i	0.614020	+	0.394606i
$15$	3.47947	−	3.73104i	0.898396	−	0.963349i
$16$	−0.142315	+	0.989821i	−0.0355787	+	0.247455i
$17$	−1.45107	−	1.25736i	−0.351936	−	0.304954i	0.460894	−	0.887455i	$-0.347529\pi$
$17$	−1.45107	−	1.25736i	−0.351936	−	0.304954i	−0.812830	+	0.582501i	$0.802074\pi$
$18$	1.19237	+	1.85536i	0.281043	+	0.437312i
$19$	−3.27267	−	3.77686i	−0.750802	−	0.866471i	0.243844	−	0.969814i	$-0.421591\pi$
$19$	−3.27267	−	3.77686i	−0.750802	−	0.866471i	−0.994646	+	0.103343i	$0.967046\pi$
$20$	−0.551205	−	2.16707i	−0.123253	−	0.484571i
$21$	2.58840	−	5.66781i	0.564835	−	1.23682i
$22$			4.18445i			0.892128i
$23$	−4.14065	−	2.41971i	−0.863385	−	0.504545i
$23$	−4.14065	−	2.41971i	−0.863385	−	0.504545i
$24$	2.28155			0.465719
$25$	2.98978	+	4.00765i	0.597955	+	0.801530i
$26$	−3.91013	−	1.14812i	−0.766839	−	0.225164i
$27$	−1.36999	+	1.18711i	−0.263656	+	0.228459i
$28$	−1.47648	−	2.29745i	−0.279029	−	0.434177i
$29$	−2.14012	+	2.46982i	−0.397409	+	0.458635i	−0.918823	−	0.394669i	$-0.870859\pi$
$29$	−2.14012	+	2.46982i	−0.397409	+	0.458635i	0.521414	+	0.853304i	$0.325405\pi$
$30$	−4.71497	+	1.94844i	−0.860831	+	0.355736i
$31$	−6.90452	+	2.02735i	−1.24009	+	0.364123i	−0.835049	−	0.550176i	$-0.814561\pi$
$31$	−6.90452	+	2.02735i	−1.24009	+	0.364123i	−0.405040	+	0.914299i	$0.632742\pi$
$32$	0.540641	−	0.841254i	0.0955727	−	0.148714i
$33$	9.44986	−	1.35868i	1.64501	−	0.236517i
$34$	0.797613	+	1.74653i	0.136790	+	0.299527i
$35$	5.01327	+	3.48691i	0.847397	+	0.589396i
$36$	−0.313871	−	2.18302i	−0.0523118	−	0.363837i
$37$	0.263977	−	0.410756i	0.0433975	−	0.0675279i	−0.818877	−	0.573969i	$-0.805403\pi$
$37$	0.263977	−	0.410756i	0.0433975	−	0.0675279i	0.862274	+	0.506441i	$0.169039\pi$
$38$	1.40796	+	4.79507i	0.228401	+	0.777863i
$39$	−1.32321	+	9.20313i	−0.211883	+	1.47368i
$40$	−0.398838	+	2.20021i	−0.0630618	+	0.347884i
$41$	−2.39886	+	1.54165i	−0.374639	+	0.240766i	−0.714387	−	0.699751i	$-0.753294\pi$
$41$	−2.39886	+	1.54165i	−0.374639	+	0.240766i	0.339748	+	0.940516i	$0.389658\pi$
$42$	−4.70898	+	4.08036i	−0.726612	+	0.629613i
$43$	−1.64150	+	5.59045i	−0.250327	+	0.852535i	0.734443	+	0.678671i	$0.237444\pi$
$43$	−1.64150	+	5.59045i	−0.250327	+	0.852535i	−0.984770	+	0.173864i	$0.944375\pi$
$44$	1.73828	−	3.80631i	0.262056	−	0.573823i
$45$	2.51293	+	4.24330i	0.374606	+	0.632554i
$46$	2.76128	+	3.92114i	0.407129	+	0.578140i
$47$		−	12.6067i		−	1.83888i	−0.393229	−	0.919440i	$-0.628642\pi$
$47$		−	12.6067i		−	1.83888i	0.393229	−	0.919440i	$-0.371358\pi$
$48$	−2.07537	−	0.947790i	−0.299554	−	0.136802i
$49$	0.439715	+	0.129112i	0.0628164	+	0.0184446i
$50$	−1.05476	−	4.88748i	−0.149165	−	0.691194i
$51$	3.68525	−	2.36837i	0.516038	−	0.331638i
$52$	3.07983	+	2.66869i	0.427096	+	0.370081i
$53$	0.0981459	+	0.0141113i	0.0134814	+	0.00193833i	0.149052	−	0.988829i	$-0.452378\pi$
$53$	0.0981459	+	0.0141113i	0.0134814	+	0.00193833i	−0.135571	+	0.990768i	$0.543287\pi$
$54$	1.73933	−	0.510714i	0.236693	−	0.0694994i
$55$	−0.341682	+	9.35048i	−0.0460725	+	1.26082i
$56$	0.388660	+	2.70319i	0.0519368	+	0.361229i
$57$	10.3717	−	4.73658i	1.37376	−	0.627376i
$58$	2.97272	−	1.35760i	0.390337	−	0.178261i
$59$	1.36487	+	9.49285i	0.177690	+	1.23586i	0.862089	+	0.506756i	$0.169156\pi$
$59$	1.36487	+	9.49285i	0.177690	+	1.23586i	−0.684399	+	0.729108i	$0.739935\pi$
$60$	5.09830	+	0.186301i	0.658187	+	0.0240513i
$61$	4.44190	−	1.30426i	0.568728	−	0.166994i	0.0152885	−	0.999883i	$-0.495133\pi$
$61$	4.44190	−	1.30426i	0.568728	−	0.166994i	0.553439	+	0.832890i	$0.313315\pi$
$62$	7.12276	+	1.02410i	0.904592	+	0.130061i
$63$	4.55196	+	3.94429i	0.573493	+	0.496934i
$64$	−0.841254	+	0.540641i	−0.105157	+	0.0675801i
$65$	−8.64373	−	2.88484i	−1.07212	−	0.357820i
$66$	−9.16031	−	2.68971i	−1.12756	−	0.331080i
$67$	10.0252	+	4.57837i	1.22478	+	0.559337i	0.919561	−	0.392946i	$-0.128544\pi$
$67$	10.0252	+	4.57837i	1.22478	+	0.559337i	0.305216	+	0.952283i	$0.401271\pi$
$68$		−	1.92004i		−	0.232839i
$69$	7.95862	−	7.50907i	0.958106	−	0.903985i
$70$	−3.11171	−	5.25439i	−0.371921	−	0.628020i
$71$	5.81639	−	12.7361i	0.690278	−	1.51150i	−0.161096	−	0.986939i	$-0.551503\pi$
$71$	5.81639	−	12.7361i	0.690278	−	1.51150i	0.851374	−	0.524559i	$-0.175770\pi$
$72$	−0.621352	+	2.11613i	−0.0732271	+	0.249389i
$73$	−9.10143	+	7.88643i	−1.06524	+	0.923037i	−0.997210	−	0.0746458i	$-0.976217\pi$
$73$	−9.10143	+	7.88643i	−1.06524	+	0.923037i	−0.0680318	+	0.997683i	$0.521672\pi$
$74$	−0.410756	+	0.263977i	−0.0477494	+	0.0306867i
$75$	−10.6951	+	3.96895i	−1.23496	+	0.458294i
$76$	0.711219	−	4.94664i	0.0815824	−	0.567418i
$77$	3.21955	+	10.9648i	0.366901	+	1.24955i
$78$	5.02676	−	7.82178i	0.569168	−	0.885643i
$79$	0.565232	+	3.93127i	0.0635936	+	0.442303i	0.996597	+	0.0824342i	$0.0262694\pi$
$79$	0.565232	+	3.93127i	0.0635936	+	0.442303i	−0.933003	+	0.359869i	$0.882821\pi$
$80$	1.27680	−	1.83570i	0.142750	−	0.205237i
$81$	−4.46667	−	9.78065i	−0.496297	−	1.08674i
$82$	2.82251	−	0.405815i	0.311694	−	0.0448148i
$83$	−5.85268	+	9.10695i	−0.642415	+	0.999618i	0.355474	+	0.934686i	$0.384319\pi$
$83$	−5.85268	+	9.10695i	−0.642415	+	0.999618i	−0.997890	+	0.0649316i	$0.979317\pi$
$84$	5.97848	−	1.75544i	0.652306	−	0.191534i
$85$	1.63971	+	3.96788i	0.177852	+	0.430377i
$86$	3.81552	−	4.40334i	0.411438	−	0.474825i
$87$	−4.03113	−	6.27256i	−0.432183	−	0.672489i
$88$	−3.16240	+	2.74023i	−0.337113	+	0.292110i
$89$	−4.46925	−	1.31229i	−0.473740	−	0.139103i	0.0361426	−	0.999347i	$-0.488493\pi$
$89$	−4.46925	−	1.31229i	−0.473740	−	0.139103i	−0.509883	+	0.860244i	$0.670311\pi$
$90$	−0.523114	−	4.90376i	−0.0551410	−	0.516901i
$91$	−11.1293			−1.16667
$92$	−0.882852	−	4.71387i	−0.0920437	−	0.491455i
$93$		−	16.4181i		−	1.70247i
$94$	−5.23703	+	11.4675i	−0.540158	+	1.18278i
$95$	2.75465	+	10.8299i	0.282621	+	1.11113i
$96$	1.49410	+	1.72428i	0.152491	+	0.175984i
$97$	−4.30573	−	6.69985i	−0.437181	−	0.680267i	0.550836	−	0.834614i	$-0.314309\pi$
$97$	−4.30573	−	6.69985i	−0.437181	−	0.680267i	−0.988017	+	0.154347i	$0.950673\pi$
$98$	−0.346344	−	0.300109i	−0.0349860	−	0.0303156i
$99$	−1.31338	+	9.13474i	−0.131999	+	0.918076i
$100$	−1.07089	+	4.88397i	−0.107089	+	0.488397i
$101$	3.23282	+	2.07760i	0.321677	+	0.206729i	0.691506	−	0.722370i	$-0.256947\pi$
$101$	3.23282	+	2.07760i	0.321677	+	0.206729i	−0.369829	+	0.929100i	$0.620584\pi$
$102$	−4.33608	+	0.623434i	−0.429336	+	0.0617292i
$103$	−6.47664	+	2.95778i	−0.638162	+	0.291439i	−0.708100	−	0.706113i	$-0.750447\pi$
$103$	−6.47664	+	2.95778i	−0.638162	+	0.291439i	0.0699376	+	0.997551i	$0.477720\pi$
$104$	−1.69290	−	3.70693i	−0.166002	−	0.363495i
$105$	−10.8558	+	8.73336i	−1.05941	+	0.852288i
$106$	−0.0834146	−	0.0536073i	−0.00810195	−	0.00520680i
$107$	−2.46413	−	8.39207i	−0.238217	−	0.811292i	−0.988636	−	0.150330i	$-0.951966\pi$
$107$	−2.46413	−	8.39207i	−0.238217	−	0.811292i	0.750419	−	0.660962i	$-0.229852\pi$
$108$	−1.79431	−	0.257983i	−0.172658	−	0.0248244i
$109$	12.4388	−	14.3552i	1.19142	−	1.37497i	0.281834	−	0.959463i	$-0.409057\pi$
$109$	12.4388	−	14.3552i	1.19142	−	1.37497i	0.909588	−	0.415511i	$-0.136397\pi$
$110$	4.19513	−	8.36355i	0.399990	−	0.797433i
$111$	0.729518	+	0.841908i	0.0692428	+	0.0799104i
$112$	0.769407	−	2.62036i	0.0727022	−	0.247601i
$113$	−12.0436	−	5.50011i	−1.13296	−	0.517407i	−0.241455	−	0.970412i	$-0.577625\pi$
$113$	−12.0436	−	5.50011i	−1.13296	−	0.517407i	−0.891508	+	0.453005i	$0.850352\pi$
$114$	−11.4021			−1.06790
$115$	5.85012	+	8.98755i	0.545526	+	0.838094i
$116$	−3.26805			−0.303431
$117$	−8.17553	−	3.73364i	−0.755828	−	0.345175i
$118$	2.70195	−	9.20199i	0.248734	−	0.847112i
$119$	3.43383	+	3.96285i	0.314778	+	0.363274i
$120$	−4.56018	−	2.28737i	−0.416286	−	0.208808i
$121$	−4.26290	+	4.91965i	−0.387536	+	0.447241i
$122$	−4.58231	−	0.658836i	−0.414863	−	0.0596483i
$123$	−1.83293	−	6.24237i	−0.165269	−	0.562856i
$124$	−6.05367	−	3.89046i	−0.543635	−	0.349373i
$125$	−1.95785	−	11.0076i	−0.175115	−	0.984548i
$126$	−2.50209	−	5.47881i	−0.222904	−	0.488091i
$127$	9.65748	−	4.41043i	0.856963	−	0.391362i	0.0620412	−	0.998074i	$-0.480239\pi$
$127$	9.65748	−	4.41043i	0.856963	−	0.391362i	0.794922	+	0.606712i	$0.207512\pi$
$128$	0.989821	−	0.142315i	0.0874887	−	0.0125790i
$129$	−11.1831	−	7.18693i	−0.984615	−	0.632774i
$130$	6.66421	+	6.21487i	0.584490	+	0.545081i
$131$	−2.32318	+	16.1581i	−0.202977	+	1.41174i	0.592411	+	0.805636i	$0.298176\pi$
$131$	−2.32318	+	16.1581i	−0.202977	+	1.41174i	−0.795388	+	0.606101i	$0.792733\pi$
$132$	7.21517	+	6.25198i	0.628000	+	0.544165i
$133$	7.37872	+	11.4815i	0.639816	+	0.995574i
$134$	−7.21735	−	8.32926i	−0.623484	−	0.719539i
$135$	3.92837	−	0.999204i	0.338101	−	0.0859978i
$136$	−0.797613	+	1.74653i	−0.0683948	+	0.149764i
$137$			7.30963i			0.624504i	0.949999	+	0.312252i	$0.101083\pi$
$137$			7.30963i			0.624504i	−0.949999	+	0.312252i	$0.898917\pi$
$138$	−10.3588	+	3.52435i	−0.881799	+	0.300013i
$139$	1.62898			0.138168			0.0690841	−	0.997611i	$-0.477992\pi$
$139$	1.62898			0.138168			0.0690841	+	0.997611i	$0.477992\pi$
$140$	0.647760	+	6.07222i	0.0547457	+	0.513196i
$141$	27.5978	+	8.10344i	2.32415	+	0.682433i
$142$	−10.5815	+	9.16896i	−0.887983	+	0.769442i
$143$	−9.21926	−	14.3455i	−0.770954	−	1.19963i
$144$	1.44427	−	1.66678i	0.120356	−	0.138899i
$145$	6.75363	−	2.79091i	0.560858	−	0.231773i
$146$	11.5551	−	3.39288i	0.956307	−	0.280797i
$147$	−0.565286	+	0.879602i	−0.0466240	+	0.0725484i
$148$	0.483297	−	0.0694876i	0.0397267	−	0.00571184i
$149$	2.06726	+	4.52667i	0.169357	+	0.370839i	0.975212	−	0.221273i	$-0.0710213\pi$
$149$	2.06726	+	4.52667i	0.169357	+	0.370839i	−0.805855	+	0.592113i	$0.798294\pi$
$150$	11.3773	+	0.832606i	0.928955	+	0.0679820i
$151$	−3.13790	−	21.8246i	−0.255359	−	1.77606i	−0.564888	−	0.825168i	$-0.691080\pi$
$151$	−3.13790	−	21.8246i	−0.255359	−	1.77606i	0.309529	−	0.950890i	$-0.399829\pi$
$152$	−2.70185	+	4.20417i	−0.219149	+	0.341003i
$153$	1.19302	+	4.06306i	0.0964501	+	0.328479i
$154$	1.62633	−	11.3114i	0.131053	−	0.911495i
$155$	15.8327	+	2.87004i	1.27172	+	0.230527i
$156$	−7.82178	+	5.02676i	−0.626244	+	0.402463i
$157$	8.76980	−	7.59907i	0.699906	−	0.606472i	−0.230470	−	0.973079i	$-0.574026\pi$
$157$	8.76980	−	7.59907i	0.699906	−	0.606472i	0.930376	+	0.366608i	$0.119481\pi$
$158$	1.11896	−	3.81082i	0.0890195	−	0.303172i
$159$	−0.0939783	+	0.205784i	−0.00745296	+	0.0163197i
$160$	−1.92399	+	1.13941i	−0.152105	+	0.0900783i
$161$	10.2525	+	8.15024i	0.808011	+	0.642329i
$162$			10.7523i			0.844782i
$163$	−4.88745	−	2.23203i	−0.382815	−	0.174826i	0.214707	−	0.976679i	$-0.431120\pi$
$163$	−4.88745	−	2.23203i	−0.382815	−	0.174826i	−0.597522	+	0.801853i	$0.703848\pi$
$164$	−2.73602	−	0.803369i	−0.213648	−	0.0627326i
$165$	−20.2498	−	6.75835i	−1.57644	−	0.526137i
$166$	9.10695	−	5.85268i	0.706836	−	0.454256i
$167$	3.47331	+	3.00964i	0.268773	+	0.232893i	0.778811	−	0.627259i	$-0.215823\pi$
$167$	3.47331	+	3.00964i	0.268773	+	0.232893i	−0.510038	+	0.860152i	$0.670369\pi$
$168$	−6.16746	−	0.886746i	−0.475830	−	0.0684140i
$169$	3.46114	−	1.01628i	0.266242	−	0.0781756i
$170$	0.156781	−	4.29048i	0.0120246	−	0.329065i
$171$	1.56857	+	10.9097i	0.119952	+	0.834282i
$172$	−5.29993	+	2.42040i	−0.404116	+	0.184554i
$173$	15.5774	−	7.11396i	1.18433	−	0.540865i	0.276830	−	0.960919i	$-0.410716\pi$
$173$	15.5774	−	7.11396i	1.18433	−	0.540865i	0.907499	+	0.420054i	$0.137989\pi$
$174$	1.06113	+	7.38032i	0.0804440	+	0.559500i
$175$	−6.52431	−	11.9954i	−0.493192	−	0.906769i
$176$	4.01495	−	1.17890i	0.302638	−	0.0888626i
$177$	−21.6584	−	3.11401i	−1.62795	−	0.234063i
$178$	3.52023	+	3.05030i	0.263852	+	0.228629i
$179$	16.2161	−	10.4215i	1.21205	−	0.778938i	0.231050	−	0.972942i	$-0.425784\pi$
$179$	16.2161	−	10.4215i	1.21205	−	0.778938i	0.981001	+	0.194004i	$0.0621476\pi$
$180$	−1.56125	+	4.67792i	−0.116369	+	0.348672i
$181$	−24.5130	−	7.19767i	−1.82204	−	0.534999i	−0.822604	−	0.568615i	$-0.807480\pi$
$181$	−24.5130	−	7.19767i	−1.82204	−	0.534999i	−0.999435	+	0.0336159i	$0.989298\pi$
$182$	10.1236	+	4.62328i	0.750410	+	0.342701i
$183$			10.5623i			0.780786i
$184$	−1.15514	+	4.65464i	−0.0851582	+	0.343144i
$185$	−0.939421	+	0.556336i	−0.0690676	+	0.0409026i
$186$	−6.82031	+	14.9344i	−0.500089	+	1.09504i
$187$	−2.26353	+	7.70887i	−0.165526	+	0.563728i
$188$	9.52753	−	8.25565i	0.694867	−	0.602105i
$189$	4.16473	−	2.67651i	0.302940	−	0.194687i
$190$	1.99319	−	10.9956i	0.144601	−	0.797702i
$191$	−2.17252	+	15.1102i	−0.157198	+	1.09334i	0.746568	+	0.665309i	$0.231700\pi$
$191$	−2.17252	+	15.1102i	−0.157198	+	1.09334i	−0.903766	+	0.428027i	$0.859209\pi$
$192$	−0.642787	−	2.18913i	−0.0463891	−	0.157987i
$193$	5.44537	−	8.47316i	0.391966	−	0.609912i	−0.588051	−	0.808824i	$-0.700105\pi$
$193$	5.44537	−	8.47316i	0.391966	−	0.609912i	0.980017	+	0.198912i	$0.0637409\pi$
$194$	1.13341	+	7.88306i	0.0813743	+	0.565971i
$195$	11.8714	−	17.0679i	0.850126	−	1.22226i
$196$	0.190376	+	0.416865i	0.0135983	+	0.0297761i
$197$	−12.8932	+	1.85376i	−0.918602	+	0.132075i	−0.585367	−	0.810769i	$-0.699049\pi$
$197$	−12.8932	+	1.85376i	−0.918602	+	0.132075i	−0.333235	+	0.942844i	$0.608140\pi$
$198$	4.98940	−	7.76366i	0.354581	−	0.551739i
$199$	4.52294	−	1.32806i	0.320623	−	0.0941434i	−0.117461	−	0.993078i	$-0.537475\pi$
$199$	4.52294	−	1.32806i	0.320623	−	0.0941434i	0.438084	+	0.898934i	$0.355657\pi$
$200$	3.00299	−	3.99775i	0.212344	−	0.282684i
$201$	−16.4667	+	19.0036i	−1.16147	+	1.34041i
$202$	−2.07760	−	3.23282i	−0.146180	−	0.227460i
$203$	6.74505	−	5.84462i	0.473410	−	0.410212i
$204$	4.20322	+	1.23418i	0.294284	+	0.0864096i
$205$	6.34024	−	0.676352i	0.442822	−	0.0472385i
$206$	7.12006			0.496078
$207$	4.79721	+	9.42661i	0.333429	+	0.655195i
$208$			4.07520i			0.282564i
$209$	−8.68708	+	19.0220i	−0.600898	+	1.31578i
$210$	13.5027	−	3.43449i	0.931776	−	0.237003i
$211$	11.4754	+	13.2433i	0.789996	+	0.911704i	0.997788	−	0.0664691i	$-0.0211734\pi$
$211$	11.4754	+	13.2433i	0.789996	+	0.911704i	−0.207793	+	0.978173i	$0.566628\pi$
$212$	0.0536073	+	0.0834146i	0.00368177	+	0.00572894i
$213$	24.1423	+	20.9194i	1.65420	+	1.43338i
$214$	−1.24474	+	8.65734i	−0.0850885	+	0.591803i
$215$	8.88562	−	9.52805i	0.605995	−	0.649808i
$216$	1.52499	+	0.980053i	0.103763	+	0.0666842i
$217$	19.4522	−	2.79680i	1.32050	−	0.189859i
$218$	−17.2781	+	7.89064i	−1.17022	+	0.534421i
$219$	−11.4142	−	24.9935i	−0.771297	−	1.68891i
$220$	−7.29037	+	5.86503i	−0.491517	+	0.395420i
$221$	−6.58243	−	4.23027i	−0.442782	−	0.284559i
$222$	−0.313851	−	1.06888i	−0.0210643	−	0.0717385i
$223$	−7.46181	−	1.07285i	−0.499680	−	0.0718431i	−0.112133	−	0.993693i	$-0.535768\pi$
$223$	−7.46181	−	1.07285i	−0.499680	−	0.0718431i	−0.387547	+	0.921850i	$0.626677\pi$
$224$	−1.78841	+	2.06394i	−0.119493	+	0.137903i
$225$	−0.768520	−	11.0005i	−0.0512347	−	0.733369i
$226$	8.67038	+	10.0062i	0.576745	+	0.665599i
$227$	−6.41069	+	21.8328i	−0.425492	+	1.44909i	0.416268	+	0.909242i	$0.363338\pi$
$227$	−6.41069	+	21.8328i	−0.425492	+	1.44909i	−0.841760	+	0.539851i	$0.818480\pi$
$228$	10.3717	+	4.73658i	0.686881	+	0.313688i
$229$	−0.0889742			−0.00587958			−0.00293979	−	0.999996i	$-0.500936\pi$
$229$	−0.0889742			−0.00587958			−0.00293979	+	0.999996i	$0.500936\pi$
$230$	−1.58789	−	10.6056i	−0.104702	−	0.699312i
$231$	−26.0728			−1.71546
$232$	2.97272	+	1.35760i	0.195169	+	0.0891305i
$233$	−0.165137	+	0.562405i	−0.0108185	+	0.0368444i	−0.964725	−	0.263258i	$-0.915203\pi$
$233$	−0.165137	+	0.562405i	−0.0108185	+	0.0368444i	0.953907	+	0.300103i	$0.0970210\pi$
$234$	5.88571	+	6.79247i	0.384761	+	0.444038i
$235$	−12.6389	+	25.1973i	−0.824472	+	1.64369i
$236$	−6.28042	+	7.24799i	−0.408821	+	0.471804i
$237$	−8.96940	−	1.28960i	−0.582625	−	0.0837688i
$238$	−1.47729	−	5.03120i	−0.0957587	−	0.326124i
$239$	−1.59063	−	1.02223i	−0.102889	−	0.0661229i	0.488184	−	0.872741i	$-0.337659\pi$
$239$	−1.59063	−	1.02223i	−0.102889	−	0.0661229i	−0.591074	+	0.806618i	$0.701296\pi$
$240$	3.19788	+	3.97504i	0.206422	+	0.256588i
$241$	11.6118	+	25.4263i	0.747982	+	1.63785i	0.769959	+	0.638093i	$0.220276\pi$
$241$	11.6118	+	25.4263i	0.747982	+	1.63785i	−0.0219777	+	0.999758i	$0.506996\pi$
$242$	5.92136	−	2.70420i	0.380640	−	0.173832i
$243$	18.8993	−	2.71731i	1.21239	−	0.174316i
$244$	3.89452	+	2.50286i	0.249321	+	0.160229i
$245$	−0.749426	−	0.698897i	−0.0478791	−	0.0446509i
$246$	−0.925887	+	6.43969i	−0.0590324	+	0.410579i
$247$	−15.3915	−	13.3368i	−0.979335	−	0.848599i
$248$	3.89046	+	6.05367i	0.247044	+	0.384408i
$249$	−16.1743	−	18.6661i	−1.02500	−	1.18292i
$250$	−2.79179	+	10.8262i	−0.176568	+	0.684707i
$251$	6.25556	−	13.6978i	0.394847	−	0.864595i	−0.602920	−	0.797802i	$-0.705996\pi$
$251$	6.25556	−	13.6978i	0.394847	−	0.864595i	0.997767	−	0.0667929i	$-0.0212767\pi$
$252$			6.02310i			0.379420i
$253$	−2.01255	+	19.9667i	−0.126528	+	1.25530i
$254$	−10.6169			−0.666164
$255$	−9.74020	+	1.03905i	−0.609955	+	0.0650677i
$256$	−0.959493	−	0.281733i	−0.0599683	−	0.0176083i
$257$	9.75206	−	8.45020i	0.608317	−	0.527109i	−0.295326	−	0.955397i	$-0.595428\pi$
$257$	9.75206	−	8.45020i	0.608317	−	0.527109i	0.903643	+	0.428287i	$0.140883\pi$
$258$	7.18693	+	11.1831i	0.447439	+	0.696228i
$259$	−0.873223	+	1.00775i	−0.0542594	+	0.0626187i
$260$	−3.48022	−	8.42166i	−0.215834	−	0.522289i
$261$	6.91562	−	2.03061i	0.428066	−	0.125692i
$262$	8.82554	−	13.7328i	0.545244	−	0.848416i
$263$	−25.9156	+	3.72610i	−1.59802	+	0.229761i	−0.883012	−	0.469350i	$-0.844488\pi$
$263$	−25.9156	+	3.72610i	−1.59802	+	0.229761i	−0.715012	+	0.699112i	$0.753579\pi$
$264$	−3.96598	−	8.68429i	−0.244089	−	0.534481i
$265$	−0.182019	−	0.126601i	−0.0111813	−	0.00777703i
$266$	−1.94233	−	13.5092i	−0.119092	−	0.828301i
$267$	5.74555	−	8.94026i	0.351622	−	0.547135i
$268$	3.10503	+	10.5748i	0.189670	+	0.645956i
$269$	−3.54518	+	24.6573i	−0.216153	+	1.50338i	0.535903	+	0.844280i	$0.319971\pi$
$269$	−3.54518	+	24.6573i	−0.216153	+	1.50338i	−0.752056	+	0.659099i	$0.770938\pi$
$270$	−3.98846	−	0.722998i	−0.242730	−	0.0440002i
$271$	−1.48286	+	0.952978i	−0.0900775	+	0.0578893i	−0.584904	−	0.811102i	$-0.698868\pi$
$271$	−1.48286	+	0.952978i	−0.0900775	+	0.0578893i	0.494827	+	0.868992i	$0.335232\pi$
$272$	1.45107	−	1.25736i	0.0879840	−	0.0762386i
$273$	7.15377	−	24.3635i	0.432966	−	1.47455i
$274$	3.03653	−	6.64907i	0.183443	−	0.401685i
$275$	10.0573	−	18.3464i	0.606476	−	1.10633i
$276$	10.8868	+	1.09733i	0.655306	+	0.0660518i
$277$		−	5.23153i		−	0.314332i	−0.987572	−	0.157166i	$-0.949764\pi$
$277$		−	5.23153i		−	0.314332i	0.987572	−	0.157166i	$-0.0502358\pi$
$278$	−1.48177	−	0.676702i	−0.0888707	−	0.0405859i
$279$	15.2277	+	4.47126i	0.911659	+	0.267687i
$280$	1.93327	−	5.79257i	0.115535	−	0.346172i
$281$	−1.50805	+	0.969163i	−0.0899626	+	0.0578154i	−0.584849	−	0.811142i	$-0.698846\pi$
$281$	−1.50805	+	0.969163i	−0.0899626	+	0.0578154i	0.494886	+	0.868958i	$0.335210\pi$
$282$	−21.7375	−	18.8357i	−1.29445	−	1.12165i
$283$	−5.17178	−	0.743590i	−0.307431	−	0.0442019i	−0.0131271	−	0.999914i	$-0.504179\pi$
$283$	−5.17178	−	0.743590i	−0.307431	−	0.0442019i	−0.294304	+	0.955712i	$0.595088\pi$
$284$	13.4342	−	3.94465i	0.797175	−	0.234072i
$285$	−25.4788	−	0.931038i	−1.50923	−	0.0551499i
$286$	2.42682	+	16.8789i	0.143501	+	0.998071i
$287$	7.08375	−	3.23504i	0.418140	−	0.190958i
$288$	−2.00617	+	0.916185i	−0.118214	+	0.0539867i
$289$	−1.89470	−	13.1779i	−0.111453	−	0.775173i
$290$	−7.30270	−	0.266853i	−0.428829	−	0.0156702i
$291$	17.4345	−	5.11923i	1.02203	−	0.300095i
$292$	−11.9203	−	1.71389i	−0.697585	−	0.100298i
$293$	7.43727	+	6.44443i	0.434490	+	0.376488i	0.844467	−	0.535608i	$-0.179918\pi$
$293$	7.43727	+	6.44443i	0.434490	+	0.376488i	−0.409976	+	0.912096i	$0.634463\pi$
$294$	0.879602	−	0.565286i	0.0512995	−	0.0329682i
$295$	6.78910	−	20.3419i	0.395277	−	1.18435i
$296$	−0.468488	−	0.137561i	−0.0272303	−	0.00799555i
$297$	6.89993	+	3.15109i	0.400375	+	0.182845i
$298$		−	4.97637i		−	0.288274i
$299$	−18.1056	−	7.35903i	−1.04707	−	0.425584i
$300$	−10.0033	−	5.48368i	−0.577541	−	0.316600i
$301$	6.61007	−	14.4740i	0.380998	−	0.834269i
$302$	−6.21192	+	21.1559i	−0.357456	+	1.21738i
$303$	−6.62616	+	5.74160i	−0.380663	+	0.329846i
$304$	4.20417	−	2.70185i	0.241126	−	0.154962i
$305$	−10.1857	−	1.84639i	−0.583233	−	0.105724i
$306$	0.602645	−	4.19149i	0.0344509	−	0.239611i
$307$	−6.15667	−	20.9677i	−0.351380	−	1.19669i	−0.925763	−	0.378103i	$-0.876576\pi$
$307$	−6.15667	−	20.9677i	−0.351380	−	1.19669i	0.574384	−	0.818586i	$-0.305242\pi$
$308$	−6.17827	+	9.61357i	−0.352039	+	0.547784i
$309$	−2.31187	−	16.0794i	−0.131518	−	0.914727i
$310$	−13.2097	−	9.18784i	−0.750261	−	0.521834i
$311$	−11.4941	−	25.1686i	−0.651772	−	1.42718i	−0.889995	−	0.455971i	$-0.849292\pi$
$311$	−11.4941	−	25.1686i	−0.651772	−	1.42718i	0.238223	−	0.971210i	$-0.423435\pi$
$312$	9.20313	−	1.32321i	0.521025	−	0.0749121i
$313$	3.45939	−	5.38292i	0.195536	−	0.304261i	−0.729615	−	0.683858i	$-0.760301\pi$
$313$	3.45939	−	5.38292i	0.195536	−	0.304261i	0.925152	+	0.379597i	$0.123937\pi$
$314$	−11.1341	+	3.26925i	−0.628331	+	0.184495i
$315$	−5.14373	−	12.4471i	−0.289816	−	0.701316i
$316$	−2.60091	+	3.00161i	−0.146313	+	0.168854i
$317$	0.994492	+	1.54746i	0.0558563	+	0.0869140i	0.868058	−	0.496462i	$-0.165368\pi$
$317$	0.994492	+	1.54746i	0.0558563	+	0.0869140i	−0.812202	+	0.583376i	$0.801731\pi$
$318$	0.170971	−	0.148147i	0.00958759	−	0.00830770i
$319$	13.1210	+	3.85269i	0.734638	+	0.215709i
$320$	2.22345	−	0.237189i	0.124295	−	0.0132593i
$321$	19.9553			1.11379
$322$	−5.94028	−	11.6728i	−0.331039	−	0.650498i
$323$			9.59541i			0.533903i
$324$	4.46667	−	9.78065i	0.248148	−	0.543369i
$325$	14.3842	+	14.4318i	0.797892	+	0.800531i
$326$	3.51857	+	4.06064i	0.194875	+	0.224898i
$327$	23.4298	+	36.4575i	1.29567	+	2.01610i
$328$	2.15504	+	1.86736i	0.118992	+	0.103107i
$329$	−4.89973	+	34.0784i	−0.270131	+	1.87880i
$330$	15.6123	+	14.5597i	0.859431	+	0.801484i
$331$	1.88024	+	1.20836i	0.103348	+	0.0664174i	0.591294	−	0.806456i	$-0.298617\pi$
$331$	1.88024	+	1.20836i	0.103348	+	0.0664174i	−0.487946	+	0.872874i	$0.662254\pi$
$332$	−10.7153	+	1.54062i	−0.588077	+	0.0845526i
$333$	−0.979543	+	0.447342i	−0.0536786	+	0.0245142i
$334$	−1.90918	−	4.18053i	−0.104466	−	0.228748i
$335$	−15.4476	−	19.2017i	−0.843992	−	1.04910i
$336$	5.24175	+	3.36867i	0.285961	+	0.183776i
$337$	1.06043	+	3.61149i	0.0577652	+	0.196730i	0.983320	−	0.181883i	$-0.0582192\pi$
$337$	1.06043	+	3.61149i	0.0577652	+	0.196730i	−0.925555	+	0.378613i	$0.876401\pi$
$338$	−3.57054	−	0.513367i	−0.194212	−	0.0279235i
$339$	19.7819	−	22.8295i	1.07441	−	1.23993i
$340$	−1.92494	+	3.83763i	−0.104395	+	0.208124i
$341$	19.7187	+	22.7566i	1.06783	+	1.23234i
$342$	3.10521	−	10.5754i	0.167911	−	0.571851i
$343$	16.2509	+	7.42153i	0.877465	+	0.400725i
$344$	5.82646			0.314142
$345$	−23.4353	+	7.02959i	−1.26171	+	0.378460i
$346$	−17.1250			−0.920643
$347$	−4.54638	−	2.07626i	−0.244063	−	0.111460i	0.289629	−	0.957139i	$-0.406468\pi$
$347$	−4.54638	−	2.07626i	−0.244063	−	0.111460i	−0.533691	+	0.845679i	$0.679195\pi$
$348$	2.10066	−	7.15418i	0.112607	−	0.383504i
$349$	0.525822	+	0.606831i	0.0281466	+	0.0324829i	0.769648	−	0.638468i	$-0.220432\pi$
$349$	0.525822	+	0.606831i	0.0281466	+	0.0324829i	−0.741502	+	0.670951i	$0.765886\pi$
$350$	0.951642	+	13.6217i	0.0508674	+	0.728112i
$351$	−4.83770	+	5.58300i	−0.258217	+	0.297999i
$352$	−4.14186	−	0.595509i	−0.220762	−	0.0317408i
$353$	−1.60601	−	5.46958i	−0.0854794	−	0.291116i	0.905648	−	0.424030i	$-0.139385\pi$
$353$	−1.60601	−	5.46958i	−0.0854794	−	0.291116i	−0.991128	+	0.132914i	$0.957567\pi$
$354$	18.4076	+	11.8298i	0.978352	+	0.628748i
$355$	−24.3940	+	19.6247i	−1.29470	+	1.04157i
$356$	−1.93498	−	4.23700i	−0.102553	−	0.224561i
$357$	−10.8824	+	4.96983i	−0.575958	+	0.263031i
$358$	−19.0799	+	2.74328i	−1.00841	+	0.144987i
$359$	6.97537	+	4.48280i	0.368146	+	0.236593i	0.711613	−	0.702572i	$-0.247965\pi$
$359$	6.97537	+	4.48280i	0.368146	+	0.236593i	−0.343467	+	0.939165i	$0.611601\pi$
$360$	3.36344	−	3.60662i	0.177269	−	0.190086i
$361$	−0.850336	+	5.91422i	−0.0447545	+	0.311275i
$362$	19.3078	+	16.7303i	1.01480	+	0.879326i
$363$	−8.02962	−	12.4943i	−0.421446	−	0.655782i
$364$	−7.28815	−	8.41097i	−0.382003	−	0.440855i
$365$	26.0978	−	6.63812i	1.36602	−	0.347455i
$366$	4.38773	−	9.60778i	0.229350	−	0.502207i
$367$		−	13.2954i		−	0.694017i	−0.937862	−	0.347008i	$-0.887198\pi$
$367$		−	13.2954i		−	0.694017i	0.937862	−	0.347008i	$-0.112802\pi$
$368$	2.98436	−	3.75414i	0.155571	−	0.195698i
$369$	6.28896			0.327390
$370$	1.08564	−	0.115812i	0.0564396	−	0.00602076i
$371$	−0.259822	−	0.0762907i	−0.0134893	−	0.00396082i
$372$	12.4079	−	10.7515i	0.643322	−	0.557441i
$373$	−15.9266	−	24.7822i	−0.824646	−	1.28317i	−0.956449	−	0.291898i	$-0.905713\pi$
$373$	−15.9266	−	24.7822i	−0.824646	−	1.28317i	0.131803	−	0.991276i	$-0.457923\pi$
$374$	5.26136	−	6.07193i	0.272058	−	0.313972i
$375$	25.3555	+	2.78954i	1.30935	+	0.144051i
$376$	−12.0961	+	3.55173i	−0.623807	+	0.183166i
$377$	−7.20023	+	11.2038i	−0.370830	+	0.577023i
$378$	−4.90024	+	0.704548i	−0.252041	+	0.0362380i
$379$	−13.4339	−	29.4161i	−0.690052	−	1.51100i	−0.851630	−	0.524143i	$-0.824386\pi$
$379$	−13.4339	−	29.4161i	−0.690052	−	1.51100i	0.161578	−	0.986860i	$-0.448342\pi$
$380$	−6.38079	+	9.17391i	−0.327328	+	0.470612i
$381$	3.44729	+	23.9765i	0.176610	+	1.22835i
$382$	8.25319	−	12.8422i	0.422270	−	0.657065i
$383$	6.93205	+	23.6084i	0.354211	+	1.20633i	0.923307	+	0.384062i	$0.125475\pi$
$383$	6.93205	+	23.6084i	0.354211	+	1.20633i	−0.569096	+	0.822271i	$0.692707\pi$
$384$	−0.324698	+	2.25833i	−0.0165697	+	0.115245i
$385$	4.55778	−	25.1433i	0.232286	−	1.28142i
$386$	−8.47316	+	5.44537i	−0.431273	+	0.277162i
$387$	9.71144	−	8.41501i	0.493660	−	0.427759i
$388$	2.24375	−	7.64152i	0.113909	−	0.387939i
$389$	−8.23916	+	18.0412i	−0.417742	+	0.914728i	0.577417	+	0.816449i	$0.304061\pi$
$389$	−8.23916	+	18.0412i	−0.417742	+	0.914728i	−0.995159	+	0.0982781i	$0.968667\pi$
$390$	−17.8888	+	10.5940i	−0.905836	+	0.536447i
$391$	2.96592	+	8.71746i	0.149993	+	0.440861i
$392$		−	0.458279i		−	0.0231466i
$393$	−33.8788	−	15.4719i	−1.70896	−	0.780456i
$394$	12.4981	+	3.66979i	0.629647	+	0.184881i
$395$	2.81157	−	8.42420i	0.141465	−	0.423867i
$396$	−7.76366	+	4.98940i	−0.390138	+	0.250727i
$397$	−4.91629	−	4.25999i	−0.246741	−	0.213803i	0.522706	−	0.852513i	$-0.324923\pi$
$397$	−4.91629	−	4.25999i	−0.246741	−	0.213803i	−0.769447	+	0.638711i	$0.779468\pi$
$398$	−4.66591	−	0.670856i	−0.233881	−	0.0336270i
$399$	−29.8775	+	8.77282i	−1.49575	+	0.439190i
$400$	−4.39235	+	2.38900i	−0.219617	+	0.119450i
$401$	−3.32253	−	23.1087i	−0.165919	−	1.15399i	−0.887212	−	0.461362i	$-0.847361\pi$
$401$	−3.32253	−	23.1087i	−0.165919	−	1.15399i	0.721293	−	0.692630i	$-0.243548\pi$
$402$	22.8731	−	10.4458i	1.14080	−	0.520988i
$403$	−26.6751	+	12.1821i	−1.32878	+	0.606835i
$404$	0.546895	+	3.80374i	0.0272091	+	0.189243i
$405$	−0.877983	+	24.0269i	−0.0436273	+	1.19390i
$406$	−8.56346	+	2.51446i	−0.424997	+	0.124791i
$407$	−2.02233	−	0.290767i	−0.100243	−	0.0144128i
$408$	−3.31069	−	2.86873i	−0.163903	−	0.142023i
$409$	−23.4902	+	15.0962i	−1.16152	+	0.746461i	−0.971899	−	0.235398i	$-0.924361\pi$
$409$	−23.4902	+	15.0962i	−1.16152	+	0.746461i	−0.189616	+	0.981858i	$0.560724\pi$
$410$	−6.04825	−	2.01860i	−0.298702	−	0.0996915i
$411$	−16.0017	−	4.69853i	−0.789307	−	0.231762i
$412$	−6.47664	−	2.95778i	−0.319081	−	0.145719i
$413$		−	26.1914i		−	1.28880i
$414$	−0.447738	−	10.5676i	−0.0220051	−	0.519368i
$415$	20.8281	−	12.3346i	1.02241	−	0.605483i
$416$	1.69290	−	3.70693i	0.0830012	−	0.181747i
$417$	−1.04709	+	3.56605i	−0.0512760	+	0.174630i
$418$	15.8041	−	13.6943i	0.773003	−	0.669811i
$419$	−16.7791	+	10.7833i	−0.819712	+	0.526797i	−0.881994	−	0.471261i	$-0.843799\pi$
$419$	−16.7791	+	10.7833i	−0.819712	+	0.526797i	0.0622812	+	0.998059i	$0.480162\pi$
$420$	−13.7092	−	2.48511i	−0.668943	−	0.121261i
$421$	2.61128	−	18.1619i	0.127266	−	0.885155i	−0.821732	−	0.569874i	$-0.806992\pi$
$421$	2.61128	−	18.1619i	0.127266	−	0.885155i	0.948998	−	0.315281i	$-0.102099\pi$
$422$	−4.93690	−	16.8135i	−0.240324	−	0.818470i
$423$	−15.0318	+	23.3900i	−0.730873	+	1.13726i
$424$	−0.0141113	−	0.0981459i	−0.000685303	−	0.00476639i
$425$	0.700680	−	9.57460i	0.0339880	−	0.464436i
$426$	−13.2704	−	29.0581i	−0.642952	−	1.40787i
$427$	−12.5142	+	1.79927i	−0.605605	+	0.0870729i
$428$	4.72864	−	7.35791i	0.228567	−	0.355658i
$429$	37.3301	−	10.9611i	1.80231	−	0.529207i
$430$	−12.0407	+	4.97580i	−0.580656	+	0.239954i
$431$	−6.15220	+	7.10002i	−0.296341	+	0.341996i	−0.884321	−	0.466880i	$-0.845378\pi$
$431$	−6.15220	+	7.10002i	−0.296341	+	0.341996i	0.587980	+	0.808876i	$0.299924\pi$
$432$	−0.980053	−	1.52499i	−0.0471528	−	0.0733712i
$433$	6.80539	−	5.89690i	0.327046	−	0.283387i	−0.475825	−	0.879540i	$-0.657850\pi$
$433$	6.80539	−	5.89690i	0.327046	−	0.283387i	0.802871	+	0.596153i	$0.203305\pi$
$434$	−18.8561	−	5.53666i	−0.905124	−	0.265768i
$435$	1.76853	+	16.5785i	0.0847947	+	0.794880i
$436$	18.9946			0.909676
$437$	4.41206	+	23.5576i	0.211057	+	1.12691i
$438$			27.4765i			1.31288i
$439$	0.765250	−	1.67566i	0.0365234	−	0.0799751i	−0.890491	−	0.455001i	$-0.849639\pi$
$439$	0.765250	−	1.67566i	0.0365234	−	0.0799751i	0.927014	+	0.375026i	$0.122366\pi$
$440$	9.06798	−	2.30649i	0.432299	−	0.109958i
$441$	−0.661880	−	0.763851i	−0.0315181	−	0.0363738i
$442$	4.23027	+	6.58243i	0.201213	+	0.313094i
$443$	23.5703	+	20.4238i	1.11986	+	0.970362i	0.999749	−	0.0223991i	$-0.00713046\pi$
$443$	23.5703	+	20.4238i	1.11986	+	0.970362i	0.120108	+	0.992761i	$0.461676\pi$
$444$	−0.158539	+	1.10267i	−0.00752394	+	0.0523302i
$445$	7.61715	+	7.10357i	0.361088	+	0.336741i
$446$	6.34183	+	4.07564i	0.300294	+	0.192987i
$447$	−11.2383	+	1.61582i	−0.531552	+	0.0764257i
$448$	2.48419	−	1.13449i	0.117367	−	0.0535997i
$449$	14.2710	+	31.2490i	0.673488	+	1.47473i	0.869399	+	0.494111i	$0.164506\pi$
$449$	14.2710	+	31.2490i	0.673488	+	1.47473i	−0.195911	+	0.980622i	$0.562766\pi$
$450$	−3.87072	+	10.3257i	−0.182467	+	0.486758i
$451$	10.0379	+	6.45097i	0.472667	+	0.303764i
$452$	−3.73015	−	12.7037i	−0.175451	−	0.597533i
$453$	49.7938	+	7.15927i	2.33952	+	0.336372i
$454$	14.9010	−	17.1967i	0.699340	−	0.807082i
$455$	22.2444	+	11.1577i	1.04283	+	0.523082i
$456$	−7.46676	−	8.61710i	−0.349663	−	0.403532i
$457$	1.32886	−	4.52568i	0.0621614	−	0.211702i	−0.922556	−	0.385864i	$-0.873903\pi$
$457$	1.32886	−	4.52568i	0.0621614	−	0.211702i	0.984717	+	0.174162i	$0.0557215\pi$
$458$	0.0809338	+	0.0369612i	0.00378179	+	0.00172708i
$459$	3.48058			0.162459
$460$	−2.96133	+	10.3068i	−0.138073	+	0.480558i
$461$	−34.7565			−1.61877			−0.809387	−	0.587276i	$-0.800200\pi$
$461$	−34.7565			−1.61877			−0.809387	+	0.587276i	$0.800200\pi$
$462$	23.7167	+	10.8310i	1.10340	+	0.503905i
$463$	−1.31774	+	4.48779i	−0.0612404	+	0.208566i	−0.984429	−	0.175781i	$-0.943755\pi$
$463$	−1.31774	+	4.48779i	−0.0612404	+	0.208566i	0.923189	+	0.384346i	$0.125573\pi$
$464$	−2.14012	−	2.46982i	−0.0993524	−	0.114659i
$465$	−16.4600	+	32.8151i	−0.763313	+	1.52176i
$466$	0.383845	−	0.442981i	0.0177813	−	0.0205207i
$467$	25.6186	+	3.68339i	1.18549	+	0.170447i	0.706719	−	0.707495i	$-0.250175\pi$
$467$	25.6186	+	3.68339i	1.18549	+	0.170447i	0.478767	+	0.877942i	$0.341084\pi$
$468$	−2.53214	−	8.62366i	−0.117048	−	0.398629i
$469$	−25.3207	−	16.2726i	−1.16920	−	0.751399i
$470$	21.9641	−	17.6699i	1.01313	−	0.815052i
$471$	10.9983	+	24.0828i	0.506773	+	1.10968i
$472$	8.72380	−	3.98402i	0.401545	−	0.183380i
$473$	24.1324	−	3.46971i	1.10961	−	0.159537i
$474$	7.62313	+	4.89909i	0.350142	+	0.225023i
$475$	5.35179	−	24.4077i	0.245557	−	1.11990i
$476$	−0.746242	+	5.19023i	−0.0342040	+	0.237894i
$477$	−0.165270	−	0.143207i	−0.00756720	−	0.00655701i
$478$	1.02223	+	1.59063i	0.0467559	+	0.0727536i
$479$	−1.72420	−	1.98983i	−0.0787808	−	0.0909179i	0.714991	−	0.699134i	$-0.246431\pi$
$479$	−1.72420	−	1.98983i	−0.0787808	−	0.0909179i	−0.793772	+	0.608216i	$0.791885\pi$
$480$	−1.25760	−	4.94427i	−0.0574014	−	0.225674i
$481$	0.826586	−	1.80997i	0.0376891	−	0.0825276i
$482$		−	27.9523i		−	1.27319i
$483$	−24.4321	+	17.2052i	−1.11170	+	0.782865i
$484$	−6.50963			−0.295892
$485$	1.88900	+	17.7079i	0.0857753	+	0.804072i
$486$	−18.3202	−	5.37930i	−0.831022	−	0.244010i
$487$	25.8999	−	22.4424i	1.17363	−	1.01696i	0.174155	−	0.984718i	$-0.444281\pi$
$487$	25.8999	−	22.4424i	1.17363	−	1.01696i	0.999480	−	0.0322421i	$-0.0102648\pi$
$488$	−2.50286	−	3.89452i	−0.113299	−	0.176297i
$489$	8.02779	−	9.26456i	0.363029	−	0.418958i
$490$	0.391370	+	0.947062i	0.0176803	+	0.0427839i
$491$	1.20795	−	0.354685i	0.0545138	−	0.0160067i	−0.254362	−	0.967109i	$-0.581865\pi$
$491$	1.20795	−	0.354685i	0.0545138	−	0.0160067i	0.308876	+	0.951102i	$0.400047\pi$
$492$	3.51736	−	5.47312i	0.158575	−	0.246747i
$493$	6.21091	−	0.892994i	0.279725	−	0.0402184i
$494$	8.46027	+	18.5254i	0.380646	+	0.833498i
$495$	11.7831	−	16.9411i	0.529613	−	0.761445i
$496$	−1.02410	−	7.12276i	−0.0459834	−	0.319822i
$497$	−20.6728	+	32.1675i	−0.927302	+	1.44291i
$498$	6.95846	+	23.6983i	0.311816	+	1.06195i
$499$	4.09828	−	28.5042i	0.183464	−	1.27602i	−0.665029	−	0.746817i	$-0.731581\pi$
$499$	4.09828	−	28.5042i	0.183464	−	1.27602i	0.848494	−	0.529206i	$-0.177510\pi$
$500$	7.03686	−	8.68808i	0.314698	−	0.388543i
$501$	−8.82109	+	5.66897i	−0.394097	+	0.253271i
$502$	−11.3805	+	9.86127i	−0.507937	+	0.440130i
$503$	1.67585	−	5.70744i	0.0747226	−	0.254482i	−0.913657	−	0.406485i	$-0.866754\pi$
$503$	1.67585	−	5.70744i	0.0747226	−	0.254482i	0.988380	+	0.152003i	$0.0485724\pi$
$504$	2.50209	−	5.47881i	0.111452	−	0.244045i
$505$	−4.37859	−	7.39362i	−0.194845	−	0.329012i
$506$	10.1252	−	17.3263i	0.450119	−	0.770250i
$507$			8.23014i			0.365513i
$508$	9.65748	+	4.41043i	0.428482	+	0.195681i
$509$	−30.6724	−	9.00624i	−1.35953	−	0.399194i	−0.480934	−	0.876757i	$-0.659702\pi$
$509$	−30.6724	−	9.00624i	−1.35953	−	0.399194i	−0.878598	+	0.477563i	$0.841520\pi$
$510$	9.29164	+	3.10108i	0.411441	+	0.137318i
$511$	27.6680	−	17.7812i	1.22396	−	0.786592i
$512$	0.755750	+	0.654861i	0.0333997	+	0.0289410i
$513$	8.96707	+	1.28927i	0.395906	+	0.0569227i
$514$	−12.3811	+	3.63543i	−0.546108	+	0.160352i
$515$	15.9103	+	0.581391i	0.701093	+	0.0256191i
$516$	−1.89184	−	13.1580i	−0.0832837	−	0.579251i
$517$	−47.9851	+	21.9141i	−2.11038	+	0.963780i
$518$	1.21295	−	0.553935i	0.0532939	−	0.0243385i
$519$	5.56045	+	38.6737i	0.244076	+	1.69759i
$520$	−0.332762	+	9.10635i	−0.0145926	+	0.399340i
$521$	−3.60528	+	1.05861i	−0.157950	+	0.0463784i	−0.359752	−	0.933048i	$-0.617139\pi$
$521$	−3.60528	+	1.05861i	−0.157950	+	0.0463784i	0.201801	+	0.979426i	$0.435320\pi$
$522$	−7.13421	−	1.02574i	−0.312256	−	0.0448956i
$523$	−25.5749	−	22.1608i	−1.11831	−	0.969023i	−0.118599	−	0.992942i	$-0.537840\pi$
$523$	−25.5749	−	22.1608i	−1.11831	−	0.969023i	−0.999714	+	0.0239188i	$0.992386\pi$
$524$	−13.7328	+	8.82554i	−0.599920	+	0.385545i
$525$	30.4533	−	6.57207i	1.32909	−	0.286829i
$526$	25.1215	+	7.37635i	1.09535	+	0.321624i
$527$	12.5680	+	5.73963i	0.547473	+	0.250022i
$528$			9.54703i			0.415481i
$529$	11.2900	+	20.0384i	0.490869	+	0.871234i
$530$	0.112978	+	0.190774i	0.00490747	+	0.00828668i
$531$	8.78664	−	19.2401i	0.381308	−	0.834948i
$532$	−3.84512	+	13.0953i	−0.166707	+	0.567752i
$533$	−8.78223	+	7.60985i	−0.380401	+	0.329619i
$534$	−8.94026	+	5.74555i	−0.386883	+	0.248634i
$535$	−3.48838	+	19.2438i	−0.150816	+	0.831984i
$536$	1.56848	−	10.9090i	0.0677480	−	0.471198i
$537$	12.3905	+	42.1980i	0.534688	+	1.82098i
$538$	13.4678	−	20.9563i	0.580638	−	0.903490i
$539$	−0.272909	−	1.89813i	−0.0117550	−	0.0817580i
$540$	3.32769	+	2.31453i	0.143201	+	0.0996014i
$541$	−4.52024	−	9.89796i	−0.194340	−	0.425546i	0.787227	−	0.616664i	$-0.211516\pi$
$541$	−4.52024	−	9.89796i	−0.194340	−	0.425546i	−0.981567	+	0.191117i	$0.938789\pi$
$542$	1.74474	−	0.250856i	0.0749430	−	0.0107752i
$543$	31.5133	−	49.0357i	1.35237	−	2.10432i
$544$	−1.84226	+	0.540938i	−0.0789865	+	0.0231925i
$545$	−39.2535	+	16.2214i	−1.68144	+	0.694848i
$546$	−16.6283	+	19.1901i	−0.711624	+	0.821258i
$547$	9.37596	+	14.5893i	0.400887	+	0.623792i	0.981743	−	0.190214i	$-0.0609183\pi$
$547$	9.37596	+	14.5893i	0.400887	+	0.623792i	−0.580856	+	0.814007i	$0.697282\pi$
$548$	−5.52425	+	4.78679i	−0.235984	+	0.204481i
$549$	−9.79648	−	2.87651i	−0.418104	−	0.122766i
$550$	−16.7698	+	12.5106i	−0.715067	+	0.533452i
$551$	16.3321			0.695770
$552$	−9.44710	−	5.52070i	−0.402095	−	0.234976i
$553$		−	10.8467i		−	0.461247i
$554$	−2.17326	+	4.75876i	−0.0923328	+	0.202181i
$555$	−0.614045	−	2.41412i	−0.0260648	−	0.102474i
$556$	1.06675	+	1.23110i	0.0452404	+	0.0522102i
$557$	−14.4179	−	22.4346i	−0.610905	−	0.950586i	−0.999573	−	0.0292085i	$-0.990701\pi$
$557$	−14.4179	−	22.4346i	−0.610905	−	0.950586i	0.388669	−	0.921378i	$-0.372935\pi$
$558$	−11.9942	−	10.3930i	−0.507754	−	0.439971i
$559$	−3.37912	+	23.5023i	−0.142922	+	0.994042i
$560$	−4.16488	+	4.46600i	−0.175998	+	0.188723i
$561$	−15.4208	−	9.91032i	−0.651065	−	0.418414i
$562$	1.77437	−	0.255116i	0.0748474	−	0.0107614i
$563$	8.94878	−	4.08677i	0.377146	−	0.172237i	−0.217817	−	0.975990i	$-0.569894\pi$
$563$	8.94878	−	4.08677i	0.377146	−	0.172237i	0.594964	+	0.803753i	$0.297166\pi$
$564$	11.9485	+	26.1636i	0.503124	+	1.10169i
$565$	18.5576	+	23.0675i	0.780723	+	0.970457i
$566$	4.39552	+	2.82483i	0.184758	+	0.118736i
$567$	8.27291	+	28.1749i	0.347430	+	1.18324i
$568$	−13.8589	−	1.99261i	−0.581505	−	0.0836079i
$569$	16.9406	−	19.5505i	0.710188	−	0.819601i	−0.279903	−	0.960028i	$-0.590302\pi$
$569$	16.9406	−	19.5505i	0.710188	−	0.819601i	0.990091	+	0.140428i	$0.0448477\pi$
$570$	22.7895	+	11.4312i	0.954548	+	0.478799i
$571$	16.2443	+	18.7469i	0.679804	+	0.784535i	0.985877	−	0.167473i	$-0.0535606\pi$
$571$	16.2443	+	18.7469i	0.679804	+	0.784535i	−0.306073	+	0.952008i	$0.599015\pi$
$572$	4.80424	−	16.3617i	0.200875	−	0.684118i
$573$	−31.6817	−	14.4686i	−1.32352	−	0.604433i
$574$	−7.78749			−0.325043
$575$	−2.68226	−	23.8287i	−0.111858	−	0.993724i
$576$	2.20547			0.0918945
$577$	−12.7528	−	5.82402i	−0.530907	−	0.242457i	0.131879	−	0.991266i	$-0.457899\pi$
$577$	−12.7528	−	5.82402i	−0.530907	−	0.242457i	−0.662786	+	0.748809i	$0.730626\pi$
$578$	−3.75083	+	12.7742i	−0.156014	+	0.531335i
$579$	15.0486	+	17.3671i	0.625400	+	0.721751i
$580$	6.53192	+	3.27639i	0.271223	+	0.136045i
$581$	19.3604	−	22.3431i	0.803205	−	0.926948i
$582$	−17.9856	−	2.58594i	−0.745527	−	0.107191i
$583$	−0.116894	−	0.398103i	−0.00484124	−	0.0164877i
$584$	10.1311	+	6.51089i	0.419230	+	0.269423i
$585$	12.5974	+	15.6589i	0.520840	+	0.647416i
$586$	−4.08807	−	8.95162i	−0.168877	−	0.369788i
$587$	−6.31056	+	2.88194i	−0.260465	+	0.118950i	−0.541368	−	0.840786i	$-0.682093\pi$
$587$	−6.31056	+	2.88194i	−0.260465	+	0.118950i	0.280903	+	0.959736i	$0.409366\pi$
$588$	−1.03494	+	0.148802i	−0.0426803	+	0.00613650i
$589$	30.2532	+	19.4426i	1.24656	+	0.801117i
$590$	−14.6259	+	15.6834i	−0.602140	+	0.645674i
$591$	4.22945	−	29.4165i	0.173976	−	1.21003i
$592$	0.369007	+	0.319747i	0.0151661	+	0.0131415i
$593$	−9.35013	−	14.5491i	−0.383964	−	0.597459i	0.594445	−	0.804136i	$-0.297372\pi$
$593$	−9.35013	−	14.5491i	−0.383964	−	0.597459i	−0.978409	+	0.206676i	$0.933735\pi$
$594$	−4.96739	−	5.73267i	−0.203814	−	0.235214i
$595$	−2.89030	−	11.3632i	−0.118491	−	0.465847i
$596$	−2.06726	+	4.52667i	−0.0846783	+	0.185420i
$597$			10.7550i			0.440172i
$598$	13.4124	+	14.2153i	0.548472	+	0.581308i
$599$	−6.55969			−0.268022			−0.134011	−	0.990980i	$-0.542786\pi$
$599$	−6.55969			−0.268022			−0.134011	+	0.990980i	$0.542786\pi$
$600$	6.82132	+	9.14365i	0.278479	+	0.373288i
$601$	−40.4968	−	11.8909i	−1.65190	−	0.485041i	−0.682573	−	0.730818i	$-0.739139\pi$
$601$	−40.4968	−	11.8909i	−1.65190	−	0.485041i	−0.969327	+	0.245776i	$0.920957\pi$
$602$	−12.0255	+	10.4201i	−0.490121	+	0.424692i
$603$	−13.1413	−	20.4483i	−0.535155	−	0.832718i
$604$	14.4390	−	16.6635i	0.587515	−	0.678029i
$605$	13.4526	−	5.55922i	0.546924	−	0.226015i
$606$	8.41251	−	2.47014i	0.341735	−	0.100342i
$607$	−10.8248	+	16.8437i	−0.439363	+	0.683663i	−0.988355	−	0.152165i	$-0.951376\pi$
$607$	−10.8248	+	16.8437i	−0.439363	+	0.683663i	0.548992	+	0.835828i	$0.315012\pi$
$608$	−4.94664	+	0.711219i	−0.200613	+	0.0288437i
$609$	8.45901	+	18.5227i	0.342777	+	0.750576i
$610$	8.49824	+	5.91084i	0.344084	+	0.239323i
$611$	−7.31142	−	50.8520i	−0.295788	−	2.05725i
$612$	−2.28939	+	3.56236i	−0.0925432	+	0.144000i
$613$	7.98294	+	27.1874i	0.322428	+	1.09809i	0.948092	+	0.317996i	$0.103010\pi$
$613$	7.98294	+	27.1874i	0.322428	+	1.09809i	−0.625664	+	0.780092i	$0.715172\pi$
$614$	−3.10999	+	21.6305i	−0.125509	+	0.872934i
$615$	−2.59480	+	14.3144i	−0.104632	+	0.577211i
$616$	9.61357	−	6.17827i	0.387342	−	0.248929i
$617$	−7.71903	+	6.68858i	−0.310756	+	0.269272i	−0.796249	−	0.604969i	$-0.793186\pi$
$617$	−7.71903	+	6.68858i	−0.310756	+	0.269272i	0.485493	+	0.874241i	$0.338640\pi$
$618$	−4.57668	+	15.5867i	−0.184101	+	0.626991i
$619$	17.5483	−	38.4253i	0.705324	−	1.54444i	−0.128071	−	0.991765i	$-0.540878\pi$
$619$	17.5483	−	38.4253i	0.705324	−	1.54444i	0.833394	−	0.552679i	$-0.186394\pi$
$620$	8.19921	+	13.8451i	0.329288	+	0.556031i
$621$	8.54513	−	1.60040i	0.342904	−	0.0642219i
$622$			27.6690i			1.10943i
$623$	11.5712	+	5.28439i	0.463590	+	0.211715i
$624$	−8.92115	−	2.61949i	−0.357132	−	0.104863i
$625$	−7.12249	+	23.9639i	−0.284899	+	0.958557i
$626$	−5.38292	+	3.45939i	−0.215145	+	0.138265i
$627$	−36.0578	−	31.2443i	−1.44001	−	1.24778i
$628$	11.4860	+	1.65144i	0.458341	+	0.0658995i
$629$	−0.899516	+	0.264122i	−0.0358661	+	0.0105312i
$630$	−0.491818	+	13.4591i	−0.0195945	+	0.536223i
$631$	−0.736919	−	5.12538i	−0.0293363	−	0.204038i	0.969882	−	0.243576i	$-0.0783206\pi$
$631$	−0.736919	−	5.12538i	−0.0293363	−	0.204038i	−0.999218	+	0.0395377i	$0.987411\pi$
$632$	3.61279	−	1.64990i	0.143709	−	0.0656296i
$633$	−36.3674	+	16.6085i	−1.44548	+	0.660127i
$634$	−0.261784	−	1.82075i	−0.0103968	−	0.0723111i
$635$	−23.7243	−	0.866927i	−0.941470	−	0.0344029i
$636$	−0.217064	+	0.0637356i	−0.00860713	+	0.00252728i
$637$	1.84857	+	0.265784i	0.0732429	+	0.0105307i
$638$	−10.3349	−	8.95521i	−0.409161	−	0.354540i
$639$	−25.9776	+	16.6948i	−1.02766	+	0.660435i
$640$	−2.12106	−	0.707901i	−0.0838421	−	0.0279822i
$641$	−47.5064	−	13.9491i	−1.87639	−	0.550958i	−0.997226	−	0.0744388i	$-0.976283\pi$
$641$	−47.5064	−	13.9491i	−1.87639	−	0.550958i	−0.879164	−	0.476519i	$-0.841898\pi$
$642$	−18.1519	−	8.28971i	−0.716400	−	0.327169i
$643$		−	15.8335i		−	0.624413i	−0.950014	−	0.312207i	$-0.898932\pi$
$643$		−	15.8335i		−	0.624413i	0.950014	−	0.312207i	$-0.101068\pi$
$644$	0.554424	+	13.0856i	0.0218474	+	0.515645i
$645$	15.1466	+	25.5763i	0.596396	+	1.00707i
$646$	3.98608	−	8.72829i	0.156830	−	0.343410i
$647$	7.02727	−	23.9327i	0.276270	−	0.940891i	−0.698111	−	0.715989i	$-0.745976\pi$
$647$	7.02727	−	23.9327i	0.276270	−	0.940891i	0.974382	−	0.224901i	$-0.0722059\pi$
$648$	−8.12606	+	7.04127i	−0.319222	+	0.276607i
$649$	33.7602	−	21.6964i	1.32520	−	0.851657i
$650$	−7.08915	−	19.1030i	−0.278059	−	0.749282i
$651$	−6.38104	+	44.3811i	−0.250092	+	1.73943i
$652$	−1.51375	−	5.15536i	−0.0592830	−	0.201899i
$653$	25.5970	−	39.8297i	1.00169	−	1.55866i	0.184054	−	0.982916i	$-0.441078\pi$
$653$	25.5970	−	39.8297i	1.00169	−	1.55866i	0.817633	−	0.575740i	$-0.195286\pi$
$654$	−6.16751	−	42.8960i	−0.241169	−	1.67737i
$655$	20.8427	−	29.9664i	0.814392	−	1.17088i
$656$	−1.18457	−	2.59384i	−0.0462496	−	0.101273i
$657$	26.2899	−	3.77992i	1.02567	−	0.147469i
$658$	18.6136	−	28.9633i	0.725634	−	1.12911i
$659$	−3.07745	+	0.903621i	−0.119880	+	0.0352001i	−0.341123	−	0.940019i	$-0.610807\pi$
$659$	−3.07745	+	0.903621i	−0.119880	+	0.0352001i	0.221242	+	0.975219i	$0.428989\pi$
$660$	−8.15317	−	19.7295i	−0.317362	−	0.767971i
$661$	9.82815	−	11.3423i	0.382271	−	0.441164i	−0.531707	−	0.846928i	$-0.678449\pi$
$661$	9.82815	−	11.3423i	0.382271	−	0.441164i	0.913978	+	0.405764i	$0.132995\pi$
$662$	−1.20836	−	1.88024i	−0.0469642	−	0.0730777i
$663$	13.4917	−	11.6906i	0.523975	−	0.454027i
$664$	10.3869	+	3.04988i	0.403092	+	0.118358i
$665$	−3.23718	−	30.3459i	−0.125533	−	1.17676i
$666$	1.07686			0.0417274
$667$	14.8377	−	5.04822i	0.574520	−	0.195468i
$668$			4.59585i			0.177819i
$669$	7.14496	−	15.6453i	0.276240	−	0.604881i
$670$	6.07494	+	23.8837i	0.234695	+	0.922706i
$671$	−12.6857	−	14.6401i	−0.489726	−	0.565174i
$672$	−3.36867	−	5.24175i	−0.129949	−	0.202205i
$673$	−7.74440	−	6.71056i	−0.298525	−	0.258673i	0.492699	−	0.870200i	$-0.336010\pi$
$673$	−7.74440	−	6.71056i	−0.298525	−	0.258673i	−0.791224	+	0.611526i	$0.790556\pi$
$674$	0.535666	−	3.72564i	0.0206331	−	0.143506i
$675$	−8.85348	−	1.94127i	−0.340771	−	0.0747196i
$676$	3.03462	+	1.95023i	0.116716	+	0.0750089i
$677$	−3.75391	+	0.539731i	−0.144275	+	0.0207436i	−0.214074	−	0.976818i	$-0.568673\pi$
$677$	−3.75391	+	0.539731i	−0.144275	+	0.0207436i	0.0697991	+	0.997561i	$0.477764\pi$
$678$	−27.4780	+	12.5488i	−1.05529	+	0.481933i
$679$	9.03524	+	19.7844i	0.346741	+	0.759256i
$680$	3.34520	−	2.69118i	0.128282	−	0.103202i
$681$	−43.6741	−	28.0677i	−1.67360	−	1.07556i
$682$	−8.48335	−	28.8916i	−0.324844	−	1.10632i
$683$	29.0265	+	4.17338i	1.11067	+	0.159690i	0.673140	−	0.739515i	$-0.264945\pi$
$683$	29.0265	+	4.17338i	1.11067	+	0.159690i	0.437527	+	0.899205i	$0.355854\pi$
$684$	−7.21777	+	8.32975i	−0.275978	+	0.318496i
$685$	7.32829	−	14.6099i	0.280000	−	0.558216i
$686$	−11.6993	−	13.5017i	−0.446682	−	0.515498i
$687$	0.0571914	−	0.194776i	0.00218199	−	0.00743117i
$688$	−5.29993	−	2.42040i	−0.202058	−	0.0922768i
$689$	0.404077			0.0153941
$690$	24.2377	+	3.34104i	0.922714	+	0.127191i
$691$	−0.530453			−0.0201794			−0.0100897	−	0.999949i	$-0.503212\pi$
$691$	−0.530453			−0.0201794			−0.0100897	+	0.999949i	$0.503212\pi$
$692$	15.5774	+	7.11396i	0.592164	+	0.270432i
$693$	7.10061	−	24.1825i	0.269730	−	0.918616i
$694$	3.27302	+	3.77727i	0.124242	+	0.143383i
$695$	−3.25587	−	1.63314i	−0.123502	−	0.0619484i
$696$	−4.88278	+	5.63503i	−0.185081	+	0.213595i
$697$	5.41932	+	0.779181i	0.205272	+	0.0295136i
$698$	−0.226218	−	0.770427i	−0.00856247	−	0.0291611i
$699$	−1.12503	−	0.723013i	−0.0425525	−	0.0273469i
$700$	4.79302	−	12.7861i	0.181159	−	0.483268i
$701$	−5.74339	−	12.5763i	−0.216925	−	0.474999i	0.769618	−	0.638505i	$-0.220447\pi$
$701$	−5.74339	−	12.5763i	−0.216925	−	0.474999i	−0.986542	+	0.163506i	$0.947720\pi$
$702$	6.71979	−	3.06882i	0.253622	−	0.115825i
$703$	−2.41528	+	0.347264i	−0.0910939	+	0.0130973i
$704$	3.52018	+	2.26228i	0.132672	+	0.0852631i
$705$	−47.0362	−	43.8648i	−1.77148	−	1.65204i
$706$	−0.811264	+	5.64246i	−0.0305323	+	0.212357i
$707$	−7.93143	−	6.87262i	−0.298292	−	0.258471i
$708$	−11.8298	−	18.4076i	−0.444592	−	0.691799i
$709$	−0.952572	−	1.09933i	−0.0357746	−	0.0412861i	0.737580	−	0.675259i	$-0.235968\pi$
$709$	−0.952572	−	1.09933i	−0.0357746	−	0.0412861i	−0.773355	+	0.633973i	$0.781423\pi$
$710$	30.3419	−	7.71764i	1.13871	−	0.289638i
$711$	3.63881	−	7.96789i	0.136466	−	0.298819i
$712$			4.65793i			0.174563i
$713$	33.4948	+	8.31241i	1.25439	+	0.311302i
$714$	11.9635			0.447724
$715$	4.04466	+	37.9154i	0.151262	+	1.41795i
$716$	18.4953	+	5.43072i	0.691203	+	0.202956i
$717$	3.26024	−	2.82501i	0.121756	−	0.105502i
$718$	−4.48280	−	6.97537i	−0.167296	−	0.260318i
$719$	10.3911	−	11.9920i	0.387523	−	0.447226i	−0.528149	−	0.849152i	$-0.677114\pi$
$719$	10.3911	−	11.9920i	0.387523	−	0.447226i	0.915672	+	0.401926i	$0.131659\pi$
$720$	−4.55774	+	1.88347i	−0.169857	+	0.0701928i
$721$	18.6571	−	5.47823i	0.694828	−	0.204020i
$722$	3.23035	−	5.02652i	0.120221	−	0.187068i
$723$	−63.1254	+	9.07606i	−2.34766	+	0.337542i
$724$	−10.6130	−	23.2392i	−0.394428	−	0.863677i
$725$	−16.2967	−	1.19261i	−0.605243	−	0.0442923i
$726$	2.11367	+	14.7009i	0.0784455	+	0.545600i
$727$	−22.5190	+	35.0402i	−0.835183	+	1.29957i	0.116719	+	0.993165i	$0.462762\pi$
$727$	−22.5190	+	35.0402i	−0.835183	+	1.29957i	−0.951901	+	0.306404i	$0.900874\pi$
$728$	3.13549	+	10.6785i	0.116209	+	0.395771i
$729$	−1.60904	+	11.1911i	−0.0595939	+	0.414485i
$730$	−26.4970	−	4.80317i	−0.980697	−	0.177773i
$731$	9.41113	−	6.04817i	0.348083	−	0.223699i
$732$	−7.98243	+	6.91682i	−0.295039	+	0.255653i
$733$	−14.0413	+	47.8202i	−0.518627	+	1.76628i	0.115773	+	0.993276i	$0.463065\pi$
$733$	−14.0413	+	47.8202i	−0.518627	+	1.76628i	−0.634400	+	0.773005i	$0.718753\pi$
$734$	−5.52313	+	12.0940i	−0.203862	+	0.446396i
$735$	2.01170	−	1.19135i	0.0742026	−	0.0439436i
$736$	−4.27420	+	2.17514i	−0.157549	+	0.0801768i
$737$		−	46.1176i		−	1.69877i
$738$	−5.72064	−	2.61253i	−0.210580	−	0.0961685i
$739$	−20.1950	−	5.92979i	−0.742885	−	0.218131i	−0.111677	−	0.993745i	$-0.535622\pi$
$739$	−20.1950	−	5.92979i	−0.742885	−	0.218131i	−0.631208	+	0.775614i	$0.717440\pi$
$740$	−1.03564	−	0.345644i	−0.0380709	−	0.0127061i
$741$	39.0894	−	25.1212i	1.43598	−	0.922851i
$742$	0.204650	+	0.177331i	0.00751295	+	0.00651001i
$743$	−35.0002	−	5.03227i	−1.28403	−	0.184616i	−0.533698	−	0.845675i	$-0.679198\pi$
$743$	−35.0002	−	5.03227i	−1.28403	−	0.184616i	−0.750334	+	0.661059i	$0.770107\pi$
$744$	−15.7530	+	4.62550i	−0.577533	+	0.169579i
$745$	0.406347	−	11.1201i	0.0148874	−	0.407409i
$746$	4.19241	+	29.1588i	0.153495	+	1.06758i
$747$	21.7176	−	9.91812i	0.794607	−	0.362885i
$748$	−7.30827	+	3.33757i	−0.267217	+	0.122034i
$749$	3.39936	+	23.6431i	0.124210	+	0.863898i
$750$	−21.9054	−	13.0705i	−0.799871	−	0.477268i
$751$	−32.3812	+	9.50798i	−1.18161	+	0.346951i	−0.812793	−	0.582552i	$-0.802054\pi$
$751$	−32.3812	+	9.50798i	−1.18161	+	0.346951i	−0.368814	+	0.929503i	$0.620236\pi$
$752$	12.4784	+	1.79412i	0.455041	+	0.0654250i
$753$	25.9652	+	22.4990i	0.946224	+	0.819908i
$754$	11.2038	−	7.20023i	0.408017	−	0.262217i
$755$	−15.6085	+	46.7671i	−0.568051	+	1.70203i
$756$	4.75009	+	1.39475i	0.172759	+	0.0507267i
$757$	3.58395	+	1.63674i	0.130261	+	0.0594882i	0.479479	−	0.877553i	$-0.340826\pi$
$757$	3.58395	+	1.63674i	0.130261	+	0.0594882i	−0.349218	+	0.937041i	$0.613553\pi$
$758$			32.3384i			1.17459i
$759$	−42.4162	−	17.2401i	−1.53961	−	0.625776i
$760$	9.61515	−	5.69421i	0.348778	−	0.206551i
$761$	0.958335	−	2.09846i	0.0347396	−	0.0760692i	−0.891467	−	0.453086i	$-0.850323\pi$
$761$	0.958335	−	2.09846i	0.0347396	−	0.0760692i	0.926206	+	0.377017i	$0.123050\pi$
$762$	6.82441	−	23.2418i	0.247222	−	0.841962i
$763$	−39.2037	+	33.9702i	−1.41927	+	1.22980i
$764$	−12.8422	+	8.25319i	−0.464615	+	0.298590i
$765$	1.68891	−	9.31699i	0.0610628	−	0.336856i
$766$	3.50167	−	24.3546i	0.126520	−	0.879968i
$767$	11.0110	+	37.4999i	0.397583	+	1.35404i
$768$	1.23350	−	1.91936i	0.0445101	−	0.0692590i
$769$	1.64433	+	11.4366i	0.0592962	+	0.412414i	0.997752	+	0.0670148i	$0.0213475\pi$
$769$	1.64433	+	11.4366i	0.0592962	+	0.412414i	−0.938456	+	0.345399i	$0.887743\pi$
$770$	−14.5908	+	20.9778i	−0.525816	+	0.755986i
$771$	12.2301	+	26.7802i	0.440457	+	0.964466i
$772$	9.96955	−	1.43340i	0.358812	−	0.0515894i
$773$	−2.47992	+	3.85884i	−0.0891967	+	0.138793i	−0.882985	−	0.469402i	$-0.844470\pi$
$773$	−2.47992	+	3.85884i	−0.0891967	+	0.138793i	0.793788	+	0.608195i	$0.208106\pi$
$774$	−12.3296	+	3.62028i	−0.443177	+	0.130128i
$775$	−28.7679	−	21.6096i	−1.03337	−	0.776239i
$776$	−5.21539	+	6.01888i	−0.187222	+	0.216065i
$777$	−1.64481	−	2.55937i	−0.0590071	−	0.0918169i
$778$	14.9892	−	12.9882i	0.537389	−	0.465650i
$779$	13.6733	+	4.01484i	0.489896	+	0.143847i
$780$	20.6732	−	2.20533i	0.740218	−	0.0789635i
$781$	−58.5881			−2.09645
$782$	0.923463	−	9.16177i	0.0330230	−	0.327624i
$783$		−	5.92419i		−	0.211713i
$784$	−0.190376	+	0.416865i	−0.00679914	+	0.0148880i
$785$	−25.1469	+	6.39624i	−0.897530	+	0.228292i
$786$	24.3900	+	28.1475i	0.869961	+	1.00399i
$787$	10.5480	+	16.4131i	0.375997	+	0.585062i	0.976752	−	0.214370i	$-0.0687699\pi$
$787$	10.5480	+	16.4131i	0.375997	+	0.585062i	−0.600756	+	0.799433i	$0.705134\pi$
$788$	−9.84423	−	8.53007i	−0.350686	−	0.303871i
$789$	8.50128	−	59.1277i	0.302654	−	2.10500i
$790$	−6.05703	+	6.49495i	−0.215499	+	0.231080i
$791$	30.4183	+	19.5487i	1.08155	+	0.695071i
$792$	9.13474	−	1.31338i	0.324589	−	0.0466688i
$793$	17.1610	−	7.83716i	0.609404	−	0.278306i
$794$	2.70235	+	5.91732i	0.0959028	+	0.209998i
$795$	0.394145	−	0.317086i	0.0139789	−	0.0112459i
$796$	3.96557	+	2.54852i	0.140556	+	0.0903299i
$797$	−10.9629	−	37.3363i	−0.388327	−	1.32252i	−0.889406	−	0.457119i	$-0.848881\pi$
$797$	−10.9629	−	37.3363i	−0.388327	−	1.32252i	0.501078	−	0.865402i	$-0.332937\pi$
$798$	30.8219	+	4.43152i	1.09108	+	0.156874i
$799$	−15.8512	+	18.2932i	−0.560775	+	0.647168i
$800$	4.98784	−	0.348461i	0.176347	−	0.0123200i
$801$	6.72734	+	7.76376i	0.237699	+	0.274319i
$802$	−6.57742	+	22.4006i	−0.232257	+	0.790994i
$803$	45.8391	+	20.9340i	1.61763	+	0.738745i
$804$	−25.1454			−0.886810
$805$	−12.3209	−	26.5687i	−0.434253	−	0.936425i
$806$	29.3252			1.03294
$807$	−51.6992	−	23.6102i	−1.81990	−	0.831119i
$808$	1.08266	−	3.68719i	0.0380878	−	0.129715i
$809$	−21.9709	−	25.3558i	−0.772456	−	0.891461i	0.224085	−	0.974570i	$-0.428061\pi$
$809$	−21.9709	−	25.3558i	−0.772456	−	0.891461i	−0.996541	+	0.0831083i	$0.973515\pi$
$810$	10.7798	−	21.4909i	0.378762	−	0.755113i
$811$	−19.2689	+	22.2375i	−0.676622	+	0.780863i	−0.985397	−	0.170272i	$-0.945535\pi$
$811$	−19.2689	+	22.2375i	−0.676622	+	0.780863i	0.308775	+	0.951135i	$0.400081\pi$
$812$	8.83414	+	1.27016i	0.310018	+	0.0445738i
$813$	−1.13303	−	3.85874i	−0.0397371	−	0.135332i
$814$	1.71879	+	1.10460i	0.0602435	+	0.0387161i
$815$	7.53094	+	9.36113i	0.263797	+	0.327906i
$816$	1.81979	+	3.98479i	0.0637056	+	0.139496i
$817$	26.4864	−	12.0959i	0.926643	−	0.423184i
$818$	27.6386	−	3.97384i	0.966362	−	0.138942i
$819$	20.6489	+	13.2702i	0.721530	+	0.463699i
$820$	4.66313	+	4.34872i	0.162844	+	0.151864i
$821$	2.69428	−	18.7392i	0.0940312	−	0.654001i	−0.887231	−	0.461325i	$-0.847374\pi$
$821$	2.69428	−	18.7392i	0.0940312	−	0.654001i	0.981262	−	0.192676i	$-0.0617167\pi$
$822$	12.6038	+	10.9213i	0.439610	+	0.380924i
$823$	8.39756	+	13.0669i	0.292721	+	0.455482i	0.956201	−	0.292712i	$-0.0945577\pi$
$823$	8.39756	+	13.0669i	0.292721	+	0.455482i	−0.663480	+	0.748194i	$0.730921\pi$
$824$	4.66265	+	5.38098i	0.162431	+	0.187455i
$825$	33.6981	+	33.8095i	1.17322	+	1.17710i
$826$	−10.8803	+	23.8246i	−0.378574	+	0.828962i
$827$		−	17.5619i		−	0.610688i	−0.952242	−	0.305344i	$-0.901228\pi$
$827$		−	17.5619i		−	0.610688i	0.952242	−	0.305344i	$-0.0987715\pi$
$828$	−3.98265	+	9.79860i	−0.138407	+	0.340525i
$829$	44.6831			1.55191			0.775955	−	0.630788i	$-0.217268\pi$
$829$	44.6831			1.55191			0.775955	+	0.630788i	$0.217268\pi$
$830$	−24.0699	+	2.56768i	−0.835478	+	0.0891255i
$831$	11.4525	+	3.36276i	0.397283	+	0.116653i
$832$	−3.07983	+	2.66869i	−0.106774	+	0.0925201i
$833$	−0.475717	−	0.740230i	−0.0164826	−	0.0256475i
$834$	2.43385	−	2.80881i	0.0842774	−	0.0972613i
$835$	−3.92486	−	9.49761i	−0.135825	−	0.328678i
$836$	−20.0647	+	5.89154i	−0.693953	+	0.203763i
$837$	7.05247	−	10.9739i	0.243769	−	0.379312i
$838$	19.7423	−	2.83852i	0.681988	−	0.0980550i
$839$	3.29440	+	7.21373i	0.113735	+	0.249045i	0.957936	−	0.286981i	$-0.0926518\pi$
$839$	3.29440	+	7.21373i	0.113735	+	0.249045i	−0.844201	+	0.536027i	$0.819925\pi$
$840$	11.4380	+	7.95556i	0.394649	+	0.274493i
$841$	2.60719	+	18.1334i	0.0899031	+	0.625290i
$842$	−9.92002	+	15.4359i	−0.341866	+	0.531955i
$843$	−1.15227	−	3.92428i	−0.0396864	−	0.135159i
$844$	−2.49383	+	17.3450i	−0.0858412	+	0.597039i
$845$	−7.93673	−	1.43871i	−0.273032	−	0.0494932i
$846$	23.3900	−	15.0318i	0.804165	−	0.516805i
$847$	13.4355	−	11.6419i	0.461649	−	0.400021i
$848$	−0.0279352	+	0.0951387i	−0.000959300	+	0.00326708i
$849$	4.95217	−	10.8437i	0.169958	−	0.372156i
$850$	−4.61479	+	8.41829i	−0.158286	+	0.288745i
$851$	−2.08695	+	1.06205i	−0.0715396	+	0.0364066i
$852$			31.9449i			1.09441i
$853$	38.5687	+	17.6137i	1.32057	+	0.603083i	0.946015	−	0.324122i	$-0.105069\pi$
$853$	38.5687	+	17.6137i	1.32057	+	0.603083i	0.374553	+	0.927206i	$0.377796\pi$
$854$	12.1308	+	3.56192i	0.415107	+	0.121886i
$855$	7.80237	−	23.3779i	0.266835	−	0.799508i
$856$	−7.35791	+	4.72864i	−0.251488	+	0.161622i
$857$	31.3253	+	27.1435i	1.07005	+	0.927204i	0.997536	−	0.0701634i	$-0.0223521\pi$
$857$	31.3253	+	27.1435i	1.07005	+	0.927204i	0.0725148	+	0.997367i	$0.476898\pi$
$858$	−38.5101	−	5.53691i	−1.31471	−	0.189027i
$859$	−21.6409	+	6.35435i	−0.738379	+	0.216808i	−0.629231	−	0.777218i	$-0.716630\pi$
$859$	−21.6409	+	6.35435i	−0.738379	+	0.216808i	−0.109147	+	0.994026i	$0.534812\pi$
$860$	13.0197	+	0.475761i	0.443967	+	0.0162233i
$861$	2.52858	+	17.5867i	0.0861739	+	0.599353i
$862$	8.54569	−	3.90269i	0.291068	−	0.132926i
$863$	−22.9922	+	10.5002i	−0.782663	+	0.357430i	−0.766339	−	0.642437i	$-0.777924\pi$
$863$	−22.9922	+	10.5002i	−0.782663	+	0.357430i	−0.0163240	+	0.999867i	$0.505196\pi$
$864$	0.257983	+	1.79431i	0.00877676	+	0.0610437i
$865$	−38.2670	−	1.39834i	−1.30112	−	0.0475451i
$866$	−8.64006	+	2.53695i	−0.293601	+	0.0862091i
$867$	30.0661	+	4.32285i	1.02110	+	0.146812i
$868$	14.8521	+	12.8695i	0.504114	+	0.436818i
$869$	13.9811	−	8.98512i	0.474277	−	0.304799i
$870$	5.27826	−	15.8150i	0.178950	−	0.536180i
$871$	43.0943	+	12.6536i	1.46019	+	0.428752i
$872$	−17.2781	−	7.89064i	−0.585110	−	0.267211i
$873$			17.5646i			0.594473i
$874$	5.77282	−	23.2616i	0.195269	−	0.786834i
$875$	1.01423	+	30.5165i	0.0342873	+	1.03165i
$876$	11.4142	−	24.9935i	0.385649	−	0.844453i
$877$	−3.21799	+	10.9595i	−0.108664	+	0.370075i	−0.995814	−	0.0914066i	$-0.970864\pi$
$877$	−3.21799	+	10.9595i	−0.108664	+	0.370075i	0.887150	+	0.461481i	$0.152682\pi$
$878$	−1.39219	+	1.20634i	−0.0469842	+	0.0407120i
$879$	−18.8883	+	12.1388i	−0.637086	+	0.409431i
$880$	−9.20667	−	1.66892i	−0.310357	−	0.0562591i
$881$	−0.347305	+	2.41556i	−0.0117010	+	0.0813823i	−0.994835	−	0.101503i	$-0.967635\pi$
$881$	−0.347305	+	2.41556i	−0.0117010	+	0.0813823i	0.983134	+	0.182886i	$0.0585438\pi$
$882$	0.284753	+	0.969778i	0.00958812	+	0.0326541i
$883$	−5.34887	+	8.32301i	−0.180004	+	0.280091i	−0.919517	−	0.393051i	$-0.871420\pi$
$883$	−5.34887	+	8.32301i	−0.180004	+	0.280091i	0.739513	+	0.673142i	$0.235056\pi$
$884$	−1.11355	−	7.74491i	−0.0374527	−	0.260489i
$885$	40.1672	+	27.9377i	1.35020	+	0.939117i
$886$	−12.9559	−	28.3695i	−0.435263	−	0.953093i
$887$	−34.2958	+	4.93099i	−1.15154	+	0.165566i	−0.691530	−	0.722348i	$-0.743063\pi$
$887$	−34.2958	+	4.93099i	−1.15154	+	0.165566i	−0.460010	+	0.887914i	$0.652154\pi$
$888$	0.602276	−	0.937160i	0.0202111	−	0.0314490i
$889$	−27.8201	+	8.16873i	−0.933058	+	0.273970i
$890$	−3.97788	−	9.62591i	−0.133339	−	0.322661i
$891$	−29.4638	+	34.0031i	−0.987076	+	1.13915i
$892$	−4.07564	−	6.34183i	−0.136463	−	0.212340i
$893$	−47.6139	+	41.2577i	−1.59334	+	1.38063i
$894$	10.8939	+	3.19875i	0.364348	+	0.106982i
$895$	−42.8596	+	4.57210i	−1.43264	+	0.152828i
$896$	−2.73098			−0.0912358
$897$	27.7479	−	34.9052i	0.926475	−	1.16545i
$898$		−	34.3535i		−	1.14639i
$899$	9.76927	−	21.3917i	0.325823	−	0.713454i
$900$	7.81037	−	7.78463i	0.260346	−	0.259488i
$901$	−0.124674	−	0.143881i	−0.00415348	−	0.00479337i
$902$	−6.45097	−	10.0379i	−0.214794	−	0.334226i
$903$	27.4367	+	23.7740i	0.913036	+	0.791150i
$904$	−1.88425	+	13.1053i	−0.0626694	+	0.435875i
$905$	41.7787	+	38.9617i	1.38877	+	1.29513i
$906$	−42.3200	−	27.1974i	−1.40599	−	0.903573i
$907$	46.6504	−	6.70732i	1.54900	−	0.222713i	0.685882	−	0.727712i	$-0.259416\pi$
$907$	46.6504	−	6.70732i	1.54900	−	0.222713i	0.863120	+	0.504999i	$0.168507\pi$
$908$	−20.6982	+	9.45256i	−0.686895	+	0.313694i
$909$	−3.52077	−	7.70940i	−0.116776	−	0.255705i
$910$	−15.5991	−	19.3901i	−0.517106	−	0.642775i
$911$	1.67719	+	1.07786i	0.0555676	+	0.0357112i	0.568130	−	0.822939i	$-0.307667\pi$
$911$	1.67719	+	1.07786i	0.0555676	+	0.0357112i	−0.512562	+	0.858650i	$0.671304\pi$
$912$	3.21233	+	10.9402i	0.106371	+	0.362266i
$913$	44.8375	+	6.44666i	1.48390	+	0.213353i
$914$	−3.08881	+	3.56468i	−0.102169	+	0.117909i
$915$	10.5892	−	21.1110i	0.350069	−	0.697910i
$916$	−0.0582657	−	0.0672422i	−0.00192515	−	0.00222174i
$917$	12.5600	−	42.7753i	0.414767	−	1.41257i
$918$	−3.16604	−	1.44588i	−0.104495	−	0.0477213i
$919$	39.9904			1.31916			0.659581	−	0.751633i	$-0.270734\pi$
$919$	39.9904			1.31916			0.659581	+	0.751633i	$0.270734\pi$
$920$	6.97533	−	8.14523i	0.229970	−	0.268540i
$921$	49.8585			1.64289
$922$	31.6157	+	14.4384i	1.04121	+	0.475503i
$923$	16.0752	−	54.7472i	0.529122	−	1.80203i
$924$	−17.0741	−	19.7045i	−0.561695	−	0.648231i
$925$	2.43540	−	0.170142i	0.0800754	−	0.00559423i
$926$	3.06295	−	3.53483i	0.100655	−	0.116162i
$927$	15.5432	+	2.23478i	0.510507	+	0.0733998i
$928$	0.920715	+	3.13567i	0.0302240	+	0.102933i
$929$	21.2651	+	13.6662i	0.697684	+	0.448374i	0.840810	−	0.541330i	$-0.182079\pi$
$929$	21.2651	+	13.6662i	0.697684	+	0.448374i	−0.143126	+	0.989704i	$0.545715\pi$
$930$	28.6044	−	23.0120i	0.937975	−	0.754592i
$931$	−0.951404	−	2.08328i	−0.0311810	−	0.0682769i
$932$	−0.533179	+	0.243495i	−0.0174649	+	0.00797593i
$933$	62.4857	−	8.98408i	2.04569	−	0.294126i
$934$	−21.7733	−	13.9929i	−0.712445	−	0.457861i
$935$	12.2527	−	13.1386i	0.400706	−	0.429677i
$936$	−1.27909	+	8.89625i	−0.0418083	+	0.290783i
$937$	−9.54029	−	8.26670i	−0.311668	−	0.270061i	0.484954	−	0.874540i	$-0.338836\pi$
$937$	−9.54029	−	8.26670i	−0.311668	−	0.270061i	−0.796622	+	0.604478i	$0.793382\pi$
$938$	16.2726	+	25.3207i	0.531319	+	0.826749i
$939$	9.56027	+	11.0331i	0.311988	+	0.360053i
$940$	−27.3196	+	6.94890i	−0.891067	+	0.226648i
$941$	−4.76152	+	10.4263i	−0.155221	+	0.339887i	−0.971227	−	0.238157i	$-0.923457\pi$
$941$	−4.76152	+	10.4263i	−0.155221	+	0.339887i	0.816006	+	0.578044i	$0.196184\pi$
$942$		−	26.4753i		−	0.862613i
$943$	13.6632	−	0.578896i	0.444935	−	0.0188514i
$944$	−9.59047			−0.312143
$945$	−11.0075	+	1.17424i	−0.358073	+	0.0381979i
$946$	−23.3929	−	6.86879i	−0.760570	−	0.223324i
$947$	−10.2682	+	8.89749i	−0.333673	+	0.289129i	−0.805541	−	0.592540i	$-0.798125\pi$
$947$	−10.2682	+	8.89749i	−0.333673	+	0.289129i	0.471868	+	0.881669i	$0.343580\pi$
$948$	−4.89909	−	7.62313i	−0.159115	−	0.247588i
$949$	−32.1388	+	37.0902i	−1.04327	+	1.20400i
$950$	−15.0075	+	19.9788i	−0.486907	+	0.648197i
$951$	−4.02684	+	1.18239i	−0.130579	+	0.0383415i
$952$	2.83490	−	4.41120i	0.0918798	−	0.142968i
$953$	−21.8076	+	3.13546i	−0.706417	+	0.101567i	−0.486154	−	0.873873i	$-0.661601\pi$
$953$	−21.8076	+	3.13546i	−0.706417	+	0.101567i	−0.220263	+	0.975441i	$0.570691\pi$
$954$	0.0908445	+	0.198922i	0.00294120	+	0.00644033i
$955$	19.4910	−	28.0230i	0.630715	−	0.906803i
$956$	−0.269086	−	1.87154i	−0.00870288	−	0.0605299i
$957$	−16.8681	+	26.2472i	−0.545267	+	0.848453i
$958$	0.741782	+	2.52628i	0.0239659	+	0.0816203i
$959$	2.84096	−	19.7593i	0.0917393	−	0.638061i
$960$	−0.909968	+	5.01989i	−0.0293691	+	0.162016i
$961$	17.4834	−	11.2359i	0.563981	−	0.362448i
$962$	−1.50378	+	1.30303i	−0.0484838	+	0.0420114i
$963$	−5.43457	+	18.5085i	−0.175127	+	0.596427i
$964$	−11.6118	+	25.4263i	−0.373991	+	0.818926i
$965$	−19.3786	+	11.4762i	−0.623818	+	0.369433i
$966$	29.3715	−	5.50094i	0.945014	−	0.176990i
$967$		−	8.29652i		−	0.266798i	−0.991062	−	0.133399i	$-0.957411\pi$
$967$		−	8.29652i		−	0.266798i	0.991062	−	0.133399i	$-0.0425892\pi$
$968$	5.92136	+	2.70420i	0.190320	+	0.0869162i
$969$	−21.0056	−	6.16780i	−0.674797	−	0.198138i
$970$	5.63781	−	16.8924i	0.181019	−	0.542381i
$971$	9.09363	−	5.84412i	0.291828	−	0.187547i	−0.386532	−	0.922276i	$-0.626327\pi$
$971$	9.09363	−	5.84412i	0.291828	−	0.187547i	0.678360	+	0.734729i	$0.262691\pi$
$972$	14.4300	+	12.5037i	0.462843	+	0.401056i
$973$	−4.40343	−	0.633118i	−0.141168	−	0.0202968i
$974$	−32.8822	+	9.65510i	−1.05361	+	0.309369i
$975$	−40.8390	+	22.2123i	−1.30790	+	0.711364i
$976$	0.658836	+	4.58231i	0.0210888	+	0.146676i
$977$	32.7884	−	14.9740i	1.04900	−	0.479060i	0.185094	−	0.982721i	$-0.440741\pi$
$977$	32.7884	−	14.9740i	1.04900	−	0.479060i	0.863901	+	0.503661i	$0.168014\pi$
$978$	−11.1510	+	5.09248i	−0.356569	+	0.162839i
$979$	2.77384	+	19.2925i	0.0886524	+	0.616591i
$980$	0.0374209	−	1.02406i	0.00119537	−	0.0327124i
$981$	−40.1951	+	11.8023i	−1.28333	+	0.376820i
$982$	−1.24613	−	0.179166i	−0.0397655	−	0.00571742i
$983$	0.564279	+	0.488951i	0.0179977	+	0.0155951i	0.663813	−	0.747898i	$-0.268937\pi$
$983$	0.564279	+	0.488951i	0.0179977	+	0.0155951i	−0.645815	+	0.763494i	$0.723482\pi$
$984$	−5.47312	+	3.51736i	−0.174477	+	0.112129i
$985$	27.6284	+	9.22096i	0.880314	+	0.293804i
$986$	−6.02061	−	1.76781i	−0.191735	−	0.0562985i
$987$	−71.4525	−	32.6313i	−2.27436	−	1.03866i
$988$		−	20.3658i		−	0.647923i
$989$	20.3242	−	19.1761i	0.646271	−	0.609765i
$990$	−17.7559	+	10.5153i	−0.564319	+	0.334197i
$991$	−20.1853	+	44.1996i	−0.641207	+	1.40405i	0.257836	+	0.966189i	$0.416990\pi$
$991$	−20.1853	+	44.1996i	−0.641207	+	1.40405i	−0.899043	+	0.437859i	$0.855737\pi$
$992$	−2.02735	+	6.90452i	−0.0643684	+	0.219219i
$993$	−3.85385	+	3.33938i	−0.122298	+	0.105972i
$994$	32.1675	−	20.6728i	1.02029	−	0.655701i
$995$	−10.3715	−	1.88008i	−0.328800	−	0.0596024i
$996$	3.51501	−	24.4474i	0.111377	−	0.774646i
$997$	0.273515	+	0.931507i	0.00866231	+	0.0295011i	0.963711	−	0.266949i	$-0.0860154\pi$
$997$	0.273515	+	0.931507i	0.00866231	+	0.0295011i	−0.955048	+	0.296450i	$0.904197\pi$
$998$	−15.5690	+	24.2258i	−0.492828	+	0.766855i
$999$	0.125964	+	0.876102i	0.00398534	+	0.0277186i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.j.a.29.2	✓	120
5.4	even	2	inner	230.2.j.a.29.11	yes	120
23.4	even	11	inner	230.2.j.a.119.11	yes	120
115.4	even	22	inner	230.2.j.a.119.2	yes	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.j.a.29.2	✓	120	1.1	even	1	trivial
230.2.j.a.29.11	yes	120	5.4	even	2	inner
230.2.j.a.119.2	yes	120	115.4	even	22	inner
230.2.j.a.119.11	yes	120	23.4	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:	\( N \)	\(=\)	\( 230 = 2 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	230.j (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.909632 - 0.415415i) q^{2} +(-0.642787 + 2.18913i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-1.99872 - 1.00255i) q^{5} +(1.49410 - 1.72428i) q^{6} +(-2.70319 - 0.388660i) q^{7} +(-0.281733 - 0.959493i) q^{8} +(-1.85536 - 1.19237i) q^{9} +O(q^{10})\)	\(q+(-0.909632 - 0.415415i) q^{2} +(-0.642787 + 2.18913i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-1.99872 - 1.00255i) q^{5} +(1.49410 - 1.72428i) q^{6} +(-2.70319 - 0.388660i) q^{7} +(-0.281733 - 0.959493i) q^{8} +(-1.85536 - 1.19237i) q^{9} +(1.40163 + 1.74225i) q^{10} +(-1.73828 - 3.80631i) q^{11} +(-2.07537 + 0.947790i) q^{12} +(4.03372 - 0.579962i) q^{13} +(2.29745 + 1.47648i) q^{14} +(3.47947 - 3.73104i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(-1.45107 - 1.25736i) q^{17} +(1.19237 + 1.85536i) q^{18} +(-3.27267 - 3.77686i) q^{19} +(-0.551205 - 2.16707i) q^{20} +(2.58840 - 5.66781i) q^{21} +4.18445i q^{22} +(-4.14065 - 2.41971i) q^{23} +2.28155 q^{24} +(2.98978 + 4.00765i) q^{25} +(-3.91013 - 1.14812i) q^{26} +(-1.36999 + 1.18711i) q^{27} +(-1.47648 - 2.29745i) q^{28} +(-2.14012 + 2.46982i) q^{29} +(-4.71497 + 1.94844i) q^{30} +(-6.90452 + 2.02735i) q^{31} +(0.540641 - 0.841254i) q^{32} +(9.44986 - 1.35868i) q^{33} +(0.797613 + 1.74653i) q^{34} +(5.01327 + 3.48691i) q^{35} +(-0.313871 - 2.18302i) q^{36} +(0.263977 - 0.410756i) q^{37} +(1.40796 + 4.79507i) q^{38} +(-1.32321 + 9.20313i) q^{39} +(-0.398838 + 2.20021i) q^{40} +(-2.39886 + 1.54165i) q^{41} +(-4.70898 + 4.08036i) q^{42} +(-1.64150 + 5.59045i) q^{43} +(1.73828 - 3.80631i) q^{44} +(2.51293 + 4.24330i) q^{45} +(2.76128 + 3.92114i) q^{46} -12.6067i q^{47} +(-2.07537 - 0.947790i) q^{48} +(0.439715 + 0.129112i) q^{49} +(-1.05476 - 4.88748i) q^{50} +(3.68525 - 2.36837i) q^{51} +(3.07983 + 2.66869i) q^{52} +(0.0981459 + 0.0141113i) q^{53} +(1.73933 - 0.510714i) q^{54} +(-0.341682 + 9.35048i) q^{55} +(0.388660 + 2.70319i) q^{56} +(10.3717 - 4.73658i) q^{57} +(2.97272 - 1.35760i) q^{58} +(1.36487 + 9.49285i) q^{59} +(5.09830 + 0.186301i) q^{60} +(4.44190 - 1.30426i) q^{61} +(7.12276 + 1.02410i) q^{62} +(4.55196 + 3.94429i) q^{63} +(-0.841254 + 0.540641i) q^{64} +(-8.64373 - 2.88484i) q^{65} +(-9.16031 - 2.68971i) q^{66} +(10.0252 + 4.57837i) q^{67} -1.92004i q^{68} +(7.95862 - 7.50907i) q^{69} +(-3.11171 - 5.25439i) q^{70} +(5.81639 - 12.7361i) q^{71} +(-0.621352 + 2.11613i) q^{72} +(-9.10143 + 7.88643i) q^{73} +(-0.410756 + 0.263977i) q^{74} +(-10.6951 + 3.96895i) q^{75} +(0.711219 - 4.94664i) q^{76} +(3.21955 + 10.9648i) q^{77} +(5.02676 - 7.82178i) q^{78} +(0.565232 + 3.93127i) q^{79} +(1.27680 - 1.83570i) q^{80} +(-4.46667 - 9.78065i) q^{81} +(2.82251 - 0.405815i) q^{82} +(-5.85268 + 9.10695i) q^{83} +(5.97848 - 1.75544i) q^{84} +(1.63971 + 3.96788i) q^{85} +(3.81552 - 4.40334i) q^{86} +(-4.03113 - 6.27256i) q^{87} +(-3.16240 + 2.74023i) q^{88} +(-4.46925 - 1.31229i) q^{89} +(-0.523114 - 4.90376i) q^{90} -11.1293 q^{91} +(-0.882852 - 4.71387i) q^{92} -16.4181i q^{93} +(-5.23703 + 11.4675i) q^{94} +(2.75465 + 10.8299i) q^{95} +(1.49410 + 1.72428i) q^{96} +(-4.30573 - 6.69985i) q^{97} +(-0.346344 - 0.300109i) q^{98} +(-1.31338 + 9.13474i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) \) 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9	\( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) \) 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9 + 8 * q^11 - 6 * q^15 - 12 * q^16 - 16 * q^19 - 22 * q^20 + 4 * q^24 - 52 * q^25 - 4 * q^26 - 8 * q^29 - 44 * q^30 + 12 * q^31 + 16 * q^35 - 8 * q^36 - 36 * q^39 - 28 * q^41 - 8 * q^44 + 16 * q^45 - 4 * q^46 - 58 * q^49 + 12 * q^50 - 24 * q^51 - 6 * q^54 - 36 * q^55 + 22 * q^56 - 102 * q^59 - 38 * q^60 + 72 * q^61 + 12 * q^64 - 138 * q^65 + 80 * q^66 - 212 * q^69 - 108 * q^70 + 176 * q^71 - 88 * q^74 - 100 * q^75 + 16 * q^76 - 104 * q^79 - 22 * q^80 - 28 * q^81 - 22 * q^84 + 2 * q^85 + 62 * q^86 + 48 * q^89 + 24 * q^90 - 56 * q^91 + 24 * q^94 + 18 * q^95 - 4 * q^96 + 188 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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