LMFDB - Embedded newform 230.2.j.a.119.2

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			119.2
Character	$\chi$	$=$	230.119
Dual form			230.2.j.a.29.2

$q$-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 $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{2}{11}\right)$

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	−0.907546	−	0.419952i	$-0.862047\pi$
$3$	−0.642787	−	2.18913i	−0.371113	−	1.26390i	0.536433	−	0.843943i	$-0.319771\pi$
$4$	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	−0.632750	−	0.774356i	$-0.718074\pi$
$7$	−2.70319	+	0.388660i	−1.02171	+	0.146900i	−0.388958	+	0.921255i	$0.627165\pi$
$8$	−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	0.443747	+	0.896152i	$0.353649\pi$
$11$	−1.73828	+	3.80631i	−0.524112	+	1.14765i	−0.967859	+	0.251493i	$0.919078\pi$
$12$	−2.07537	−	0.947790i	−0.599108	−	0.273603i
$13$	4.03372	+	0.579962i	1.11875	+	0.160852i	0.676787	−	0.736179i	$-0.263372\pi$
$13$	4.03372	+	0.579962i	1.11875	+	0.160852i	0.441966	+	0.897032i	$0.354281\pi$
$14$	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	−0.812830	−	0.582501i	$-0.802074\pi$
$17$	−1.45107	+	1.25736i	−0.351936	+	0.304954i	0.460894	+	0.887455i	$0.347529\pi$
$18$	1.19237	−	1.85536i	0.281043	−	0.437312i
$19$	−3.27267	+	3.77686i	−0.750802	+	0.866471i	−0.994646	−	0.103343i	$-0.967046\pi$
$19$	−3.27267	+	3.77686i	−0.750802	+	0.866471i	0.243844	+	0.969814i	$0.421591\pi$
$20$	−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	0.521414	−	0.853304i	$-0.325405\pi$
$29$	−2.14012	−	2.46982i	−0.397409	−	0.458635i	−0.918823	+	0.394669i	$0.870859\pi$
$30$	−4.71497	−	1.94844i	−0.860831	−	0.355736i
$31$	−6.90452	−	2.02735i	−1.24009	−	0.364123i	−0.405040	−	0.914299i	$-0.632742\pi$
$31$	−6.90452	−	2.02735i	−1.24009	−	0.364123i	−0.835049	+	0.550176i	$0.814561\pi$
$32$	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	0.862274	−	0.506441i	$-0.169039\pi$
$37$	0.263977	+	0.410756i	0.0433975	+	0.0675279i	−0.818877	+	0.573969i	$0.805403\pi$
$38$	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	0.339748	−	0.940516i	$-0.389658\pi$
$41$	−2.39886	−	1.54165i	−0.374639	−	0.240766i	−0.714387	+	0.699751i	$0.753294\pi$
$42$	−4.70898	−	4.08036i	−0.726612	−	0.629613i
$43$	−1.64150	−	5.59045i	−0.250327	−	0.852535i	−0.984770	−	0.173864i	$-0.944375\pi$
$43$	−1.64150	−	5.59045i	−0.250327	−	0.852535i	0.734443	−	0.678671i	$-0.237444\pi$
$44$	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	$0.371358\pi$
$47$			12.6067i			1.83888i	−0.393229	+	0.919440i	$0.628642\pi$
$48$	−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	−0.135571	−	0.990768i	$-0.543287\pi$
$53$	0.0981459	−	0.0141113i	0.0134814	−	0.00193833i	0.149052	+	0.988829i	$0.452378\pi$
$54$	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	−0.684399	−	0.729108i	$-0.739935\pi$
$59$	1.36487	−	9.49285i	0.177690	−	1.23586i	0.862089	−	0.506756i	$-0.169156\pi$
$60$	5.09830	−	0.186301i	0.658187	−	0.0240513i
$61$	4.44190	+	1.30426i	0.568728	+	0.166994i	0.553439	−	0.832890i	$-0.313315\pi$
$61$	4.44190	+	1.30426i	0.568728	+	0.166994i	0.0152885	+	0.999883i	$0.495133\pi$
$62$	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	0.305216	−	0.952283i	$-0.401271\pi$
$67$	10.0252	−	4.57837i	1.22478	−	0.559337i	0.919561	+	0.392946i	$0.128544\pi$
$68$			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	0.851374	+	0.524559i	$0.175770\pi$
$71$	5.81639	+	12.7361i	0.690278	+	1.51150i	−0.161096	+	0.986939i	$0.551503\pi$
$72$	−0.621352	−	2.11613i	−0.0732271	−	0.249389i
$73$	−9.10143	−	7.88643i	−1.06524	−	0.923037i	−0.0680318	−	0.997683i	$-0.521672\pi$
$73$	−9.10143	−	7.88643i	−1.06524	−	0.923037i	−0.997210	+	0.0746458i	$0.976217\pi$
$74$	−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	−0.933003	−	0.359869i	$-0.882821\pi$
$79$	0.565232	−	3.93127i	0.0635936	−	0.442303i	0.996597	−	0.0824342i	$-0.0262694\pi$
$80$	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	−0.997890	−	0.0649316i	$-0.979317\pi$
$83$	−5.85268	−	9.10695i	−0.642415	−	0.999618i	0.355474	−	0.934686i	$-0.384319\pi$
$84$	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	−0.509883	−	0.860244i	$-0.670311\pi$
$89$	−4.46925	+	1.31229i	−0.473740	+	0.139103i	0.0361426	+	0.999347i	$0.488493\pi$
$90$	−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	−0.988017	−	0.154347i	$-0.950673\pi$
$97$	−4.30573	+	6.69985i	−0.437181	+	0.680267i	0.550836	+	0.834614i	$0.314309\pi$
$98$	−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	−0.369829	−	0.929100i	$-0.620584\pi$
$101$	3.23282	−	2.07760i	0.321677	−	0.206729i	0.691506	+	0.722370i	$0.256947\pi$
$102$	−4.33608	−	0.623434i	−0.429336	−	0.0617292i
$103$	−6.47664	−	2.95778i	−0.638162	−	0.291439i	0.0699376	−	0.997551i	$-0.477720\pi$
$103$	−6.47664	−	2.95778i	−0.638162	−	0.291439i	−0.708100	+	0.706113i	$0.750447\pi$
$104$	−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	0.750419	+	0.660962i	$0.229852\pi$
$107$	−2.46413	+	8.39207i	−0.238217	+	0.811292i	−0.988636	+	0.150330i	$0.951966\pi$
$108$	−1.79431	+	0.257983i	−0.172658	+	0.0248244i
$109$	12.4388	+	14.3552i	1.19142	+	1.37497i	0.909588	+	0.415511i	$0.136397\pi$
$109$	12.4388	+	14.3552i	1.19142	+	1.37497i	0.281834	+	0.959463i	$0.409057\pi$
$110$	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	−0.891508	−	0.453005i	$-0.850352\pi$
$113$	−12.0436	+	5.50011i	−1.13296	+	0.517407i	−0.241455	+	0.970412i	$0.577625\pi$
$114$	−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	0.794922	−	0.606712i	$-0.207512\pi$
$127$	9.65748	+	4.41043i	0.856963	+	0.391362i	0.0620412	+	0.998074i	$0.480239\pi$
$128$	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	−0.795388	−	0.606101i	$-0.792733\pi$
$131$	−2.32318	−	16.1581i	−0.202977	−	1.41174i	0.592411	−	0.805636i	$-0.298176\pi$
$132$	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	$-0.898917\pi$
$137$		−	7.30963i		−	0.624504i	0.949999	−	0.312252i	$-0.101083\pi$
$138$	−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	−0.805855	−	0.592113i	$-0.798294\pi$
$149$	2.06726	−	4.52667i	0.169357	−	0.370839i	0.975212	+	0.221273i	$0.0710213\pi$
$150$	11.3773	−	0.832606i	0.928955	−	0.0679820i
$151$	−3.13790	+	21.8246i	−0.255359	+	1.77606i	0.309529	+	0.950890i	$0.399829\pi$
$151$	−3.13790	+	21.8246i	−0.255359	+	1.77606i	−0.564888	+	0.825168i	$0.691080\pi$
$152$	−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	0.930376	−	0.366608i	$-0.119481\pi$
$157$	8.76980	+	7.59907i	0.699906	+	0.606472i	−0.230470	+	0.973079i	$0.574026\pi$
$158$	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	−0.597522	−	0.801853i	$-0.703848\pi$
$163$	−4.88745	+	2.23203i	−0.382815	+	0.174826i	0.214707	+	0.976679i	$0.431120\pi$
$164$	−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	−0.510038	−	0.860152i	$-0.670369\pi$
$167$	3.47331	−	3.00964i	0.268773	−	0.232893i	0.778811	+	0.627259i	$0.215823\pi$
$168$	−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	0.907499	−	0.420054i	$-0.137989\pi$
$173$	15.5774	+	7.11396i	1.18433	+	0.540865i	0.276830	+	0.960919i	$0.410716\pi$
$174$	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	0.981001	−	0.194004i	$-0.0621476\pi$
$179$	16.2161	+	10.4215i	1.21205	+	0.778938i	0.231050	+	0.972942i	$0.425784\pi$
$180$	−1.56125	−	4.67792i	−0.116369	−	0.348672i
$181$	−24.5130	+	7.19767i	−1.82204	+	0.534999i	−0.999435	−	0.0336159i	$-0.989298\pi$
$181$	−24.5130	+	7.19767i	−1.82204	+	0.534999i	−0.822604	+	0.568615i	$0.807480\pi$
$182$	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	−0.903766	−	0.428027i	$-0.859209\pi$
$191$	−2.17252	−	15.1102i	−0.157198	−	1.09334i	0.746568	−	0.665309i	$-0.231700\pi$
$192$	−0.642787	+	2.18913i	−0.0463891	+	0.157987i
$193$	5.44537	+	8.47316i	0.391966	+	0.609912i	0.980017	−	0.198912i	$-0.0637409\pi$
$193$	5.44537	+	8.47316i	0.391966	+	0.609912i	−0.588051	+	0.808824i	$0.700105\pi$
$194$	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	−0.333235	−	0.942844i	$-0.608140\pi$
$197$	−12.8932	−	1.85376i	−0.918602	−	0.132075i	−0.585367	+	0.810769i	$0.699049\pi$
$198$	4.98940	+	7.76366i	0.354581	+	0.551739i
$199$	4.52294	+	1.32806i	0.320623	+	0.0941434i	0.438084	−	0.898934i	$-0.355657\pi$
$199$	4.52294	+	1.32806i	0.320623	+	0.0941434i	−0.117461	+	0.993078i	$0.537475\pi$
$200$	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	−0.207793	−	0.978173i	$-0.566628\pi$
$211$	11.4754	−	13.2433i	0.789996	−	0.911704i	0.997788	+	0.0664691i	$0.0211734\pi$
$212$	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	−0.387547	−	0.921850i	$-0.626677\pi$
$223$	−7.46181	+	1.07285i	−0.499680	+	0.0718431i	−0.112133	+	0.993693i	$0.535768\pi$
$224$	−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	−0.841760	−	0.539851i	$-0.818480\pi$
$227$	−6.41069	−	21.8328i	−0.425492	−	1.44909i	0.416268	−	0.909242i	$-0.363338\pi$
$228$	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	0.953907	−	0.300103i	$-0.0970210\pi$
$233$	−0.165137	−	0.562405i	−0.0108185	−	0.0368444i	−0.964725	+	0.263258i	$0.915203\pi$
$234$	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	−0.591074	−	0.806618i	$-0.701296\pi$
$239$	−1.59063	+	1.02223i	−0.102889	+	0.0661229i	0.488184	+	0.872741i	$0.337659\pi$
$240$	3.19788	−	3.97504i	0.206422	−	0.256588i
$241$	11.6118	−	25.4263i	0.747982	−	1.63785i	−0.0219777	−	0.999758i	$-0.506996\pi$
$241$	11.6118	−	25.4263i	0.747982	−	1.63785i	0.769959	−	0.638093i	$-0.220276\pi$
$242$	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	0.997767	+	0.0667929i	$0.0212767\pi$
$251$	6.25556	+	13.6978i	0.394847	+	0.864595i	−0.602920	+	0.797802i	$0.705996\pi$
$252$		−	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	0.903643	−	0.428287i	$-0.140883\pi$
$257$	9.75206	+	8.45020i	0.608317	+	0.527109i	−0.295326	+	0.955397i	$0.595428\pi$
$258$	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	−0.715012	−	0.699112i	$-0.753579\pi$
$263$	−25.9156	−	3.72610i	−1.59802	−	0.229761i	−0.883012	+	0.469350i	$0.844488\pi$
$264$	−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	−0.752056	−	0.659099i	$-0.770938\pi$
$269$	−3.54518	−	24.6573i	−0.216153	−	1.50338i	0.535903	−	0.844280i	$-0.319971\pi$
$270$	−3.98846	+	0.722998i	−0.242730	+	0.0440002i
$271$	−1.48286	−	0.952978i	−0.0900775	−	0.0578893i	0.494827	−	0.868992i	$-0.335232\pi$
$271$	−1.48286	−	0.952978i	−0.0900775	−	0.0578893i	−0.584904	+	0.811102i	$0.698868\pi$
$272$	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	$0.0502358\pi$
$277$			5.23153i			0.314332i	−0.987572	+	0.157166i	$0.949764\pi$
$278$	−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	0.494886	−	0.868958i	$-0.335210\pi$
$281$	−1.50805	−	0.969163i	−0.0899626	−	0.0578154i	−0.584849	+	0.811142i	$0.698846\pi$
$282$	−21.7375	+	18.8357i	−1.29445	+	1.12165i
$283$	−5.17178	+	0.743590i	−0.307431	+	0.0442019i	−0.294304	−	0.955712i	$-0.595088\pi$
$283$	−5.17178	+	0.743590i	−0.307431	+	0.0442019i	−0.0131271	+	0.999914i	$0.504179\pi$
$284$	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	−0.409976	−	0.912096i	$-0.634463\pi$
$293$	7.43727	−	6.44443i	0.434490	−	0.376488i	0.844467	+	0.535608i	$0.179918\pi$
$294$	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	0.574384	+	0.818586i	$0.305242\pi$
$307$	−6.15667	+	20.9677i	−0.351380	+	1.19669i	−0.925763	+	0.378103i	$0.876576\pi$
$308$	−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	0.238223	+	0.971210i	$0.423435\pi$
$311$	−11.4941	+	25.1686i	−0.651772	+	1.42718i	−0.889995	+	0.455971i	$0.849292\pi$
$312$	9.20313	+	1.32321i	0.521025	+	0.0749121i
$313$	3.45939	+	5.38292i	0.195536	+	0.304261i	0.925152	−	0.379597i	$-0.123937\pi$
$313$	3.45939	+	5.38292i	0.195536	+	0.304261i	−0.729615	+	0.683858i	$0.760301\pi$
$314$	−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	−0.812202	−	0.583376i	$-0.801731\pi$
$317$	0.994492	−	1.54746i	0.0558563	−	0.0869140i	0.868058	+	0.496462i	$0.165368\pi$
$318$	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	−0.487946	−	0.872874i	$-0.662254\pi$
$331$	1.88024	−	1.20836i	0.103348	−	0.0664174i	0.591294	+	0.806456i	$0.298617\pi$
$332$	−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	−0.925555	−	0.378613i	$-0.876401\pi$
$337$	1.06043	−	3.61149i	0.0577652	−	0.196730i	0.983320	+	0.181883i	$0.0582192\pi$
$338$	−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	−0.533691	−	0.845679i	$-0.679195\pi$
$347$	−4.54638	+	2.07626i	−0.244063	+	0.111460i	0.289629	+	0.957139i	$0.406468\pi$
$348$	2.10066	+	7.15418i	0.112607	+	0.383504i
$349$	0.525822	−	0.606831i	0.0281466	−	0.0324829i	−0.741502	−	0.670951i	$-0.765886\pi$
$349$	0.525822	−	0.606831i	0.0281466	−	0.0324829i	0.769648	+	0.638468i	$0.220432\pi$
$350$	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	−0.991128	−	0.132914i	$-0.957567\pi$
$353$	−1.60601	+	5.46958i	−0.0854794	+	0.291116i	0.905648	+	0.424030i	$0.139385\pi$
$354$	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	−0.343467	−	0.939165i	$-0.611601\pi$
$359$	6.97537	−	4.48280i	0.368146	−	0.236593i	0.711613	+	0.702572i	$0.247965\pi$
$360$	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	$0.112802\pi$
$367$			13.2954i			0.694017i	−0.937862	+	0.347008i	$0.887198\pi$
$368$	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	0.131803	+	0.991276i	$0.457923\pi$
$373$	−15.9266	+	24.7822i	−0.824646	+	1.28317i	−0.956449	+	0.291898i	$0.905713\pi$
$374$	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	0.161578	+	0.986860i	$0.448342\pi$
$379$	−13.4339	+	29.4161i	−0.690052	+	1.51100i	−0.851630	+	0.524143i	$0.824386\pi$
$380$	−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	−0.569096	−	0.822271i	$-0.692707\pi$
$383$	6.93205	−	23.6084i	0.354211	−	1.20633i	0.923307	−	0.384062i	$-0.125475\pi$
$384$	−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	−0.995159	−	0.0982781i	$-0.968667\pi$
$389$	−8.23916	−	18.0412i	−0.417742	−	0.914728i	0.577417	−	0.816449i	$-0.304061\pi$
$390$	−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	−0.769447	−	0.638711i	$-0.779468\pi$
$397$	−4.91629	+	4.25999i	−0.246741	+	0.213803i	0.522706	+	0.852513i	$0.324923\pi$
$398$	−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	0.721293	+	0.692630i	$0.243548\pi$
$401$	−3.32253	+	23.1087i	−0.165919	+	1.15399i	−0.887212	+	0.461362i	$0.847361\pi$
$402$	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	−0.189616	−	0.981858i	$-0.560724\pi$
$409$	−23.4902	−	15.0962i	−1.16152	−	0.746461i	−0.971899	+	0.235398i	$0.924361\pi$
$410$	−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	0.0622812	−	0.998059i	$-0.480162\pi$
$419$	−16.7791	−	10.7833i	−0.819712	−	0.526797i	−0.881994	+	0.471261i	$0.843799\pi$
$420$	−13.7092	+	2.48511i	−0.668943	+	0.121261i
$421$	2.61128	+	18.1619i	0.127266	+	0.885155i	0.948998	+	0.315281i	$0.102099\pi$
$421$	2.61128	+	18.1619i	0.127266	+	0.885155i	−0.821732	+	0.569874i	$0.806992\pi$
$422$	−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	0.587980	−	0.808876i	$-0.299924\pi$
$431$	−6.15220	−	7.10002i	−0.296341	−	0.341996i	−0.884321	+	0.466880i	$0.845378\pi$
$432$	−0.980053	+	1.52499i	−0.0471528	+	0.0733712i
$433$	6.80539	+	5.89690i	0.327046	+	0.283387i	0.802871	−	0.596153i	$-0.203305\pi$
$433$	6.80539	+	5.89690i	0.327046	+	0.283387i	−0.475825	+	0.879540i	$0.657850\pi$
$434$	−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	0.927014	−	0.375026i	$-0.122366\pi$
$439$	0.765250	+	1.67566i	0.0365234	+	0.0799751i	−0.890491	+	0.455001i	$0.849639\pi$
$440$	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	0.120108	−	0.992761i	$-0.461676\pi$
$443$	23.5703	−	20.4238i	1.11986	−	0.970362i	0.999749	+	0.0223991i	$0.00713046\pi$
$444$	−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	−0.195911	−	0.980622i	$-0.562766\pi$
$449$	14.2710	−	31.2490i	0.673488	−	1.47473i	0.869399	−	0.494111i	$-0.164506\pi$
$450$	−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	0.984717	−	0.174162i	$-0.0557215\pi$
$457$	1.32886	+	4.52568i	0.0621614	+	0.211702i	−0.922556	+	0.385864i	$0.873903\pi$
$458$	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	0.923189	−	0.384346i	$-0.125573\pi$
$463$	−1.31774	−	4.48779i	−0.0612404	−	0.208566i	−0.984429	+	0.175781i	$0.943755\pi$
$464$	−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	0.478767	−	0.877942i	$-0.341084\pi$
$467$	25.6186	−	3.68339i	1.18549	−	0.170447i	0.706719	+	0.707495i	$0.250175\pi$
$468$	−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	−0.793772	−	0.608216i	$-0.791885\pi$
$479$	−1.72420	+	1.98983i	−0.0787808	+	0.0909179i	0.714991	+	0.699134i	$0.246431\pi$
$480$	−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	0.999480	+	0.0322421i	$0.0102648\pi$
$487$	25.8999	+	22.4424i	1.17363	+	1.01696i	0.174155	+	0.984718i	$0.444281\pi$
$488$	−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	0.308876	−	0.951102i	$-0.400047\pi$
$491$	1.20795	+	0.354685i	0.0545138	+	0.0160067i	−0.254362	+	0.967109i	$0.581865\pi$
$492$	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	0.848494	+	0.529206i	$0.177510\pi$
$499$	4.09828	+	28.5042i	0.183464	+	1.27602i	−0.665029	+	0.746817i	$0.731581\pi$
$500$	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	0.988380	−	0.152003i	$-0.0485724\pi$
$503$	1.67585	+	5.70744i	0.0747226	+	0.254482i	−0.913657	+	0.406485i	$0.866754\pi$
$504$	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	−0.878598	−	0.477563i	$-0.841520\pi$
$509$	−30.6724	+	9.00624i	−1.35953	+	0.399194i	−0.480934	+	0.876757i	$0.659702\pi$
$510$	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	0.201801	−	0.979426i	$-0.435320\pi$
$521$	−3.60528	−	1.05861i	−0.157950	−	0.0463784i	−0.359752	+	0.933048i	$0.617139\pi$
$522$	−7.13421	+	1.02574i	−0.312256	+	0.0448956i
$523$	−25.5749	+	22.1608i	−1.11831	+	0.969023i	−0.999714	−	0.0239188i	$-0.992386\pi$
$523$	−25.5749	+	22.1608i	−1.11831	+	0.969023i	−0.118599	+	0.992942i	$0.537840\pi$
$524$	−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	−0.981567	−	0.191117i	$-0.938789\pi$
$541$	−4.52024	+	9.89796i	−0.194340	+	0.425546i	0.787227	+	0.616664i	$0.211516\pi$
$542$	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	−0.580856	−	0.814007i	$-0.697282\pi$
$547$	9.37596	−	14.5893i	0.400887	−	0.623792i	0.981743	+	0.190214i	$0.0609183\pi$
$548$	−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	0.388669	+	0.921378i	$0.372935\pi$
$557$	−14.4179	+	22.4346i	−0.610905	+	0.950586i	−0.999573	+	0.0292085i	$0.990701\pi$
$558$	−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	0.594964	−	0.803753i	$-0.297166\pi$
$563$	8.94878	+	4.08677i	0.377146	+	0.172237i	−0.217817	+	0.975990i	$0.569894\pi$
$564$	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	0.990091	−	0.140428i	$-0.0448477\pi$
$569$	16.9406	+	19.5505i	0.710188	+	0.819601i	−0.279903	+	0.960028i	$0.590302\pi$
$570$	22.7895	−	11.4312i	0.954548	−	0.478799i
$571$	16.2443	−	18.7469i	0.679804	−	0.784535i	−0.306073	−	0.952008i	$-0.599015\pi$
$571$	16.2443	−	18.7469i	0.679804	−	0.784535i	0.985877	+	0.167473i	$0.0535606\pi$
$572$	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	−0.662786	−	0.748809i	$-0.730626\pi$
$577$	−12.7528	+	5.82402i	−0.530907	+	0.242457i	0.131879	+	0.991266i	$0.457899\pi$
$578$	−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	0.280903	−	0.959736i	$-0.409366\pi$
$587$	−6.31056	−	2.88194i	−0.260465	−	0.118950i	−0.541368	+	0.840786i	$0.682093\pi$
$588$	−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	−0.978409	−	0.206676i	$-0.933735\pi$
$593$	−9.35013	+	14.5491i	−0.383964	+	0.597459i	0.594445	+	0.804136i	$0.297372\pi$
$594$	−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	−0.969327	−	0.245776i	$-0.920957\pi$
$601$	−40.4968	+	11.8909i	−1.65190	+	0.485041i	−0.682573	+	0.730818i	$0.739139\pi$
$602$	−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	0.548992	−	0.835828i	$-0.315012\pi$
$607$	−10.8248	−	16.8437i	−0.439363	−	0.683663i	−0.988355	+	0.152165i	$0.951376\pi$
$608$	−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	−0.625664	−	0.780092i	$-0.715172\pi$
$613$	7.98294	−	27.1874i	0.322428	−	1.09809i	0.948092	−	0.317996i	$-0.103010\pi$
$614$	−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	0.485493	−	0.874241i	$-0.338640\pi$
$617$	−7.71903	−	6.68858i	−0.310756	−	0.269272i	−0.796249	+	0.604969i	$0.793186\pi$
$618$	−4.57668	−	15.5867i	−0.184101	−	0.626991i
$619$	17.5483	+	38.4253i	0.705324	+	1.54444i	0.833394	+	0.552679i	$0.186394\pi$
$619$	17.5483	+	38.4253i	0.705324	+	1.54444i	−0.128071	+	0.991765i	$0.540878\pi$
$620$	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	−0.999218	−	0.0395377i	$-0.987411\pi$
$631$	−0.736919	+	5.12538i	−0.0293363	+	0.204038i	0.969882	+	0.243576i	$0.0783206\pi$
$632$	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	−0.879164	+	0.476519i	$0.841898\pi$
$641$	−47.5064	+	13.9491i	−1.87639	+	0.550958i	−0.997226	+	0.0744388i	$0.976283\pi$
$642$	−18.1519	+	8.28971i	−0.716400	+	0.327169i
$643$			15.8335i			0.624413i	0.950014	+	0.312207i	$0.101068\pi$
$643$			15.8335i			0.624413i	−0.950014	+	0.312207i	$0.898932\pi$
$644$	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	0.974382	+	0.224901i	$0.0722059\pi$
$647$	7.02727	+	23.9327i	0.276270	+	0.940891i	−0.698111	+	0.715989i	$0.745976\pi$
$648$	−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	0.817633	+	0.575740i	$0.195286\pi$
$653$	25.5970	+	39.8297i	1.00169	+	1.55866i	0.184054	+	0.982916i	$0.441078\pi$
$654$	−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	0.221242	−	0.975219i	$-0.428989\pi$
$659$	−3.07745	−	0.903621i	−0.119880	−	0.0352001i	−0.341123	+	0.940019i	$0.610807\pi$
$660$	−8.15317	+	19.7295i	−0.317362	+	0.767971i
$661$	9.82815	+	11.3423i	0.382271	+	0.441164i	0.913978	−	0.405764i	$-0.132995\pi$
$661$	9.82815	+	11.3423i	0.382271	+	0.441164i	−0.531707	+	0.846928i	$0.678449\pi$
$662$	−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	−0.791224	−	0.611526i	$-0.790556\pi$
$673$	−7.74440	+	6.71056i	−0.298525	+	0.258673i	0.492699	+	0.870200i	$0.336010\pi$
$674$	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	0.0697991	−	0.997561i	$-0.477764\pi$
$677$	−3.75391	−	0.539731i	−0.144275	−	0.0207436i	−0.214074	+	0.976818i	$0.568673\pi$
$678$	−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	0.437527	−	0.899205i	$-0.355854\pi$
$683$	29.0265	−	4.17338i	1.11067	−	0.159690i	0.673140	+	0.739515i	$0.264945\pi$
$684$	−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	−0.986542	−	0.163506i	$-0.947720\pi$
$701$	−5.74339	+	12.5763i	−0.216925	+	0.474999i	0.769618	+	0.638505i	$0.220447\pi$
$702$	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	−0.773355	−	0.633973i	$-0.781423\pi$
$709$	−0.952572	+	1.09933i	−0.0357746	+	0.0412861i	0.737580	+	0.675259i	$0.235968\pi$
$710$	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	0.915672	−	0.401926i	$-0.131659\pi$
$719$	10.3911	+	11.9920i	0.387523	+	0.447226i	−0.528149	+	0.849152i	$0.677114\pi$
$720$	−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	−0.951901	−	0.306404i	$-0.900874\pi$
$727$	−22.5190	−	35.0402i	−0.835183	−	1.29957i	0.116719	−	0.993165i	$-0.462762\pi$
$728$	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	−0.634400	−	0.773005i	$-0.718753\pi$
$733$	−14.0413	−	47.8202i	−0.518627	−	1.76628i	0.115773	−	0.993276i	$-0.463065\pi$
$734$	−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	−0.631208	−	0.775614i	$-0.717440\pi$
$739$	−20.1950	+	5.92979i	−0.742885	+	0.218131i	−0.111677	+	0.993745i	$0.535622\pi$
$740$	−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	−0.750334	−	0.661059i	$-0.770107\pi$
$743$	−35.0002	+	5.03227i	−1.28403	+	0.184616i	−0.533698	+	0.845675i	$0.679198\pi$
$744$	−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	−0.368814	−	0.929503i	$-0.620236\pi$
$751$	−32.3812	−	9.50798i	−1.18161	−	0.346951i	−0.812793	+	0.582552i	$0.802054\pi$
$752$	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	−0.349218	−	0.937041i	$-0.613553\pi$
$757$	3.58395	−	1.63674i	0.130261	−	0.0594882i	0.479479	+	0.877553i	$0.340826\pi$
$758$		−	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	0.926206	−	0.377017i	$-0.123050\pi$
$761$	0.958335	+	2.09846i	0.0347396	+	0.0760692i	−0.891467	+	0.453086i	$0.850323\pi$
$762$	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	−0.938456	−	0.345399i	$-0.887743\pi$
$769$	1.64433	−	11.4366i	0.0592962	−	0.412414i	0.997752	−	0.0670148i	$-0.0213475\pi$
$770$	−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	0.793788	−	0.608195i	$-0.208106\pi$
$773$	−2.47992	−	3.85884i	−0.0891967	−	0.138793i	−0.882985	+	0.469402i	$0.844470\pi$
$774$	−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	−0.600756	−	0.799433i	$-0.705134\pi$
$787$	10.5480	−	16.4131i	0.375997	−	0.585062i	0.976752	+	0.214370i	$0.0687699\pi$
$788$	−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	0.501078	+	0.865402i	$0.332937\pi$
$797$	−10.9629	+	37.3363i	−0.388327	+	1.32252i	−0.889406	+	0.457119i	$0.848881\pi$
$798$	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	−0.996541	−	0.0831083i	$-0.973515\pi$
$809$	−21.9709	+	25.3558i	−0.772456	+	0.891461i	0.224085	+	0.974570i	$0.428061\pi$
$810$	10.7798	+	21.4909i	0.378762	+	0.755113i
$811$	−19.2689	−	22.2375i	−0.676622	−	0.780863i	0.308775	−	0.951135i	$-0.400081\pi$
$811$	−19.2689	−	22.2375i	−0.676622	−	0.780863i	−0.985397	+	0.170272i	$0.945535\pi$
$812$	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	0.981262	+	0.192676i	$0.0617167\pi$
$821$	2.69428	+	18.7392i	0.0940312	+	0.654001i	−0.887231	+	0.461325i	$0.847374\pi$
$822$	12.6038	−	10.9213i	0.439610	−	0.380924i
$823$	8.39756	−	13.0669i	0.292721	−	0.455482i	−0.663480	−	0.748194i	$-0.730921\pi$
$823$	8.39756	−	13.0669i	0.292721	−	0.455482i	0.956201	+	0.292712i	$0.0945577\pi$
$824$	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	$0.0987715\pi$
$827$			17.5619i			0.610688i	−0.952242	+	0.305344i	$0.901228\pi$
$828$	−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	−0.844201	−	0.536027i	$-0.819925\pi$
$839$	3.29440	−	7.21373i	0.113735	−	0.249045i	0.957936	+	0.286981i	$0.0926518\pi$
$840$	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	0.374553	−	0.927206i	$-0.377796\pi$
$853$	38.5687	−	17.6137i	1.32057	−	0.603083i	0.946015	+	0.324122i	$0.105069\pi$
$854$	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	0.0725148	−	0.997367i	$-0.476898\pi$
$857$	31.3253	−	27.1435i	1.07005	−	0.927204i	0.997536	+	0.0701634i	$0.0223521\pi$
$858$	−38.5101	+	5.53691i	−1.31471	+	0.189027i
$859$	−21.6409	−	6.35435i	−0.738379	−	0.216808i	−0.109147	−	0.994026i	$-0.534812\pi$
$859$	−21.6409	−	6.35435i	−0.738379	−	0.216808i	−0.629231	+	0.777218i	$0.716630\pi$
$860$	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	−0.0163240	−	0.999867i	$-0.505196\pi$
$863$	−22.9922	−	10.5002i	−0.782663	−	0.357430i	−0.766339	+	0.642437i	$0.777924\pi$
$864$	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	0.887150	−	0.461481i	$-0.152682\pi$
$877$	−3.21799	−	10.9595i	−0.108664	−	0.370075i	−0.995814	+	0.0914066i	$0.970864\pi$
$878$	−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	0.983134	−	0.182886i	$-0.0585438\pi$
$881$	−0.347305	−	2.41556i	−0.0117010	−	0.0813823i	−0.994835	+	0.101503i	$0.967635\pi$
$882$	0.284753	−	0.969778i	0.00958812	−	0.0326541i
$883$	−5.34887	−	8.32301i	−0.180004	−	0.280091i	0.739513	−	0.673142i	$-0.235056\pi$
$883$	−5.34887	−	8.32301i	−0.180004	−	0.280091i	−0.919517	+	0.393051i	$0.871420\pi$
$884$	−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	−0.460010	−	0.887914i	$-0.652154\pi$
$887$	−34.2958	−	4.93099i	−1.15154	−	0.165566i	−0.691530	+	0.722348i	$0.743063\pi$
$888$	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	0.863120	−	0.504999i	$-0.168507\pi$
$907$	46.6504	+	6.70732i	1.54900	+	0.222713i	0.685882	+	0.727712i	$0.259416\pi$
$908$	−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	−0.512562	−	0.858650i	$-0.671304\pi$
$911$	1.67719	−	1.07786i	0.0555676	−	0.0357112i	0.568130	+	0.822939i	$0.307667\pi$
$912$	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	−0.143126	−	0.989704i	$-0.545715\pi$
$929$	21.2651	−	13.6662i	0.697684	−	0.448374i	0.840810	+	0.541330i	$0.182079\pi$
$930$	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	−0.796622	−	0.604478i	$-0.793382\pi$
$937$	−9.54029	+	8.26670i	−0.311668	+	0.270061i	0.484954	+	0.874540i	$0.338836\pi$
$938$	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	0.816006	−	0.578044i	$-0.196184\pi$
$941$	−4.76152	−	10.4263i	−0.155221	−	0.339887i	−0.971227	+	0.238157i	$0.923457\pi$
$942$			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	0.471868	−	0.881669i	$-0.343580\pi$
$947$	−10.2682	−	8.89749i	−0.333673	−	0.289129i	−0.805541	+	0.592540i	$0.798125\pi$
$948$	−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	−0.220263	−	0.975441i	$-0.570691\pi$
$953$	−21.8076	−	3.13546i	−0.706417	−	0.101567i	−0.486154	+	0.873873i	$0.661601\pi$
$954$	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	$0.0425892\pi$
$967$			8.29652i			0.266798i	−0.991062	+	0.133399i	$0.957411\pi$
$968$	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	0.678360	−	0.734729i	$-0.262691\pi$
$971$	9.09363	+	5.84412i	0.291828	+	0.187547i	−0.386532	+	0.922276i	$0.626327\pi$
$972$	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	0.863901	−	0.503661i	$-0.168014\pi$
$977$	32.7884	+	14.9740i	1.04900	+	0.479060i	0.185094	+	0.982721i	$0.440741\pi$
$978$	−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	−0.645815	−	0.763494i	$-0.723482\pi$
$983$	0.564279	−	0.488951i	0.0179977	−	0.0155951i	0.663813	+	0.747898i	$0.268937\pi$
$984$	−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	−0.899043	−	0.437859i	$-0.855737\pi$
$991$	−20.1853	−	44.1996i	−0.641207	−	1.40405i	0.257836	−	0.966189i	$-0.416990\pi$
$992$	−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	−0.955048	−	0.296450i	$-0.904197\pi$
$997$	0.273515	−	0.931507i	0.00866231	−	0.0295011i	0.963711	+	0.266949i	$0.0860154\pi$
$998$	−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.119.2	yes	120
5.4	even	2	inner	230.2.j.a.119.11	yes	120
23.6	even	11	inner	230.2.j.a.29.11	yes	120
115.29	even	22	inner	230.2.j.a.29.2	✓	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.j.a.29.2	✓	120	115.29	even	22	inner
230.2.j.a.29.11	yes	120	23.6	even	11	inner
230.2.j.a.119.2	yes	120	1.1	even	1	trivial
230.2.j.a.119.11	yes	120	5.4	even	2	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 230 = 2 \cdot 5 \cdot 23 \)
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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