LMFDB - Embedded newform 230.2.j.a.9.11

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			9.11
Character	$\chi$	$=$	230.9
Dual form			230.2.j.a.179.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.281733 + 0.959493i) q^{2} +(1.62154 - 1.40507i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(-1.50506 + 1.65372i) q^{5} +(1.80499 + 1.16000i) q^{6} +(4.06165 + 1.85489i) q^{7} +(-0.755750 - 0.654861i) q^{8} +(0.228216 - 1.58728i) q^{9} +O(q^{10})$	\(q+(0.281733 + 0.959493i) q^{2} +(1.62154 - 1.40507i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(-1.50506 + 1.65372i) q^{5} +(1.80499 + 1.16000i) q^{6} +(4.06165 + 1.85489i) q^{7} +(-0.755750 - 0.654861i) q^{8} +(0.228216 - 1.58728i) q^{9} +(-2.01076 - 0.978188i) q^{10} +(-2.71299 - 0.796606i) q^{11} +(-0.604486 + 2.05869i) q^{12} +(4.55837 - 2.08174i) q^{13} +(-0.635457 + 4.41970i) q^{14} +(-0.116917 + 4.79628i) q^{15} +(0.415415 - 0.909632i) q^{16} +(0.557281 - 0.867146i) q^{17} +(1.58728 - 0.228216i) q^{18} +(-2.21722 + 1.42492i) q^{19} +(0.372068 - 2.20490i) q^{20} +(9.19236 - 2.69912i) q^{21} -2.82752i q^{22} +(-2.84316 - 3.86218i) q^{23} -2.14560 q^{24} +(-0.469587 - 4.97790i) q^{25} +(3.28165 + 3.78723i) q^{26} +(1.61982 + 2.52049i) q^{27} +(-4.41970 + 0.635457i) q^{28} +(-6.14851 - 3.95141i) q^{29} +(-4.63494 + 1.23909i) q^{30} +(-1.21119 + 1.39778i) q^{31} +(0.989821 + 0.142315i) q^{32} +(-5.51850 + 2.52021i) q^{33} +(0.989025 + 0.290404i) q^{34} +(-9.18049 + 3.92511i) q^{35} +(0.666161 + 1.45869i) q^{36} +(-5.30635 - 0.762938i) q^{37} +(-1.99187 - 1.72596i) q^{38} +(4.46657 - 9.78043i) q^{39} +(2.22041 - 0.264194i) q^{40} +(0.379411 + 2.63886i) q^{41} +(5.17957 + 8.05957i) q^{42} +(-7.97658 + 6.91175i) q^{43} +(2.71299 - 0.796606i) q^{44} +(2.28144 + 2.76636i) q^{45} +(2.90473 - 3.81609i) q^{46} -9.52621i q^{47} +(-0.604486 - 2.05869i) q^{48} +(8.47232 + 9.77757i) q^{49} +(4.64396 - 1.85300i) q^{50} +(-0.314749 - 2.18913i) q^{51} +(-2.70927 + 4.21571i) q^{52} +(6.13122 + 2.80004i) q^{53} +(-1.96204 + 2.26431i) q^{54} +(5.40058 - 3.28759i) q^{55} +(-1.85489 - 4.06165i) q^{56} +(-1.59319 + 5.42592i) q^{57} +(2.05911 - 7.01270i) q^{58} +(-3.67827 - 8.05429i) q^{59} +(-2.49471 - 4.09810i) q^{60} +(0.962688 - 1.11100i) q^{61} +(-1.68239 - 0.768323i) q^{62} +(3.87117 - 6.02365i) q^{63} +(0.142315 + 0.989821i) q^{64} +(-3.41800 + 10.6714i) q^{65} +(-3.97287 - 4.58494i) q^{66} +(-3.95010 - 13.4528i) q^{67} +1.03078i q^{68} +(-10.0369 - 2.26784i) q^{69} +(-6.35256 - 7.70279i) q^{70} +(5.75091 - 1.68862i) q^{71} +(-1.21192 + 1.05014i) q^{72} +(0.315595 + 0.491075i) q^{73} +(-0.762938 - 5.30635i) q^{74} +(-7.75575 - 7.41205i) q^{75} +(1.09488 - 2.39744i) q^{76} +(-9.54159 - 8.26783i) q^{77} +(10.6426 + 1.53018i) q^{78} +(4.90969 + 10.7507i) q^{79} +(0.879053 + 2.05603i) q^{80} +(10.7840 + 3.16647i) q^{81} +(-2.42508 + 1.10750i) q^{82} +(8.64400 + 1.24282i) q^{83} +(-6.27385 + 7.24041i) q^{84} +(0.595276 + 2.22669i) q^{85} +(-8.87904 - 5.70621i) q^{86} +(-15.5221 + 2.23173i) q^{87} +(1.52868 + 2.37867i) q^{88} +(0.803321 + 0.927082i) q^{89} +(-2.01155 + 2.96840i) q^{90} +22.3759 q^{91} +(4.47987 + 1.71195i) q^{92} +3.96836i q^{93} +(9.14033 - 2.68384i) q^{94} +(0.980629 - 5.81126i) q^{95} +(1.80499 - 1.16000i) q^{96} +(5.00839 - 0.720098i) q^{97} +(-6.99459 + 10.8838i) q^{98} +(-1.88359 + 4.12448i) 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 $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{5}{11}\right)$

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 $

$2$	0.281733	+	0.959493i	0.199215	+	0.678464i
$2$	0.281733	+	0.959493i	0.199215	+	0.678464i
$3$	1.62154	−	1.40507i	0.936195	−	0.811217i	−0.0460273	−	0.998940i	$-0.514656\pi$
$3$	1.62154	−	1.40507i	0.936195	−	0.811217i	0.982222	+	0.187723i	$0.0601107\pi$
$4$	−0.841254	+	0.540641i	−0.420627	+	0.270320i
$5$	−1.50506	+	1.65372i	−0.673083	+	0.739567i
$5$	−1.50506	+	1.65372i	−0.673083	+	0.739567i
$6$	1.80499	+	1.16000i	0.736886	+	0.473568i
$7$	4.06165	+	1.85489i	1.53516	+	0.701083i	0.990492	−	0.137570i	$-0.0439293\pi$
$7$	4.06165	+	1.85489i	1.53516	+	0.701083i	0.544666	+	0.838653i	$0.316657\pi$
$8$	−0.755750	−	0.654861i	−0.267198	−	0.231528i
$9$	0.228216	−	1.58728i	0.0760722	−	0.529093i
$10$	−2.01076	−	0.978188i	−0.635858	−	0.309330i
$11$	−2.71299	−	0.796606i	−0.817997	−	0.240186i	−0.154144	−	0.988048i	$-0.549262\pi$
$11$	−2.71299	−	0.796606i	−0.817997	−	0.240186i	−0.663853	+	0.747863i	$0.731080\pi$
$12$	−0.604486	+	2.05869i	−0.174500	+	0.594292i
$13$	4.55837	−	2.08174i	1.26426	−	0.577370i	0.333417	−	0.942780i	$-0.391798\pi$
$13$	4.55837	−	2.08174i	1.26426	−	0.577370i	0.930847	+	0.365410i	$0.119071\pi$
$14$	−0.635457	+	4.41970i	−0.169833	+	1.18122i
$15$	−0.116917	+	4.79628i	−0.0301879	+	1.23840i
$16$	0.415415	−	0.909632i	0.103854	−	0.227408i
$17$	0.557281	−	0.867146i	0.135160	−	0.210314i	−0.767075	−	0.641557i	$-0.778289\pi$
$17$	0.557281	−	0.867146i	0.135160	−	0.210314i	0.902236	+	0.431244i	$0.141925\pi$
$18$	1.58728	−	0.228216i	0.374126	−	0.0537911i
$19$	−2.21722	+	1.42492i	−0.508666	+	0.326900i	−0.769674	−	0.638437i	$-0.779581\pi$
$19$	−2.21722	+	1.42492i	−0.508666	+	0.326900i	0.261008	+	0.965337i	$0.415945\pi$
$20$	0.372068	−	2.20490i	0.0831970	−	0.493030i
$21$	9.19236	−	2.69912i	2.00594	−	0.588996i
$22$		−	2.82752i		−	0.602830i
$23$	−2.84316	−	3.86218i	−0.592839	−	0.805321i
$23$	−2.84316	−	3.86218i	−0.592839	−	0.805321i
$24$	−2.14560			−0.437969
$25$	−0.469587	−	4.97790i	−0.0939174	−	0.995580i
$26$	3.28165	+	3.78723i	0.643585	+	0.742736i
$27$	1.61982	+	2.52049i	0.311734	+	0.485068i
$28$	−4.41970	+	0.635457i	−0.835245	+	0.120090i
$29$	−6.14851	−	3.95141i	−1.14175	−	0.733758i	−0.173771	−	0.984786i	$-0.555595\pi$
$29$	−6.14851	−	3.95141i	−1.14175	−	0.733758i	−0.967980	+	0.251028i	$0.919231\pi$
$30$	−4.63494	+	1.23909i	−0.846221	+	0.226226i
$31$	−1.21119	+	1.39778i	−0.217535	+	0.251049i	−0.854020	−	0.520240i	$-0.825842\pi$
$31$	−1.21119	+	1.39778i	−0.217535	+	0.251049i	0.636485	+	0.771289i	$0.280388\pi$
$32$	0.989821	+	0.142315i	0.174977	+	0.0251579i
$33$	−5.51850	+	2.52021i	−0.960648	+	0.438713i
$34$	0.989025	+	0.290404i	0.169616	+	0.0498038i
$35$	−9.18049	+	3.92511i	−1.55179	+	0.663464i
$36$	0.666161	+	1.45869i	0.111027	+	0.243115i
$37$	−5.30635	−	0.762938i	−0.872359	−	0.125426i	−0.308427	−	0.951248i	$-0.599803\pi$
$37$	−5.30635	−	0.762938i	−0.872359	−	0.125426i	−0.563931	+	0.825822i	$0.690712\pi$
$38$	−1.99187	−	1.72596i	−0.323123	−	0.279988i
$39$	4.46657	−	9.78043i	0.715224	−	1.56612i
$40$	2.22041	−	0.264194i	0.351077	−	0.0417728i
$41$	0.379411	+	2.63886i	0.0592541	+	0.412121i	0.997762	+	0.0668639i	$0.0212993\pi$
$41$	0.379411	+	2.63886i	0.0592541	+	0.412121i	−0.938508	+	0.345257i	$0.887792\pi$
$42$	5.17957	+	8.05957i	0.799226	+	1.24362i
$43$	−7.97658	+	6.91175i	−1.21642	+	1.05403i	−0.219497	+	0.975613i	$0.570442\pi$
$43$	−7.97658	+	6.91175i	−1.21642	+	1.05403i	−0.996920	+	0.0784189i	$0.975013\pi$
$44$	2.71299	−	0.796606i	0.408999	−	0.120093i
$45$	2.28144	+	2.76636i	0.340097	+	0.412384i
$46$	2.90473	−	3.81609i	0.428279	−	0.562652i
$47$		−	9.52621i		−	1.38954i	−0.719232	−	0.694770i	$-0.755506\pi$
$47$		−	9.52621i		−	1.38954i	0.719232	−	0.694770i	$-0.244494\pi$
$48$	−0.604486	−	2.05869i	−0.0872500	−	0.297146i
$49$	8.47232	+	9.77757i	1.21033	+	1.39680i
$50$	4.64396	−	1.85300i	0.656755	−	0.262054i
$51$	−0.314749	−	2.18913i	−0.0440737	−	0.306539i
$52$	−2.70927	+	4.21571i	−0.375708	+	0.584613i
$53$	6.13122	+	2.80004i	0.842188	+	0.384614i	0.789316	−	0.613987i	$-0.210435\pi$
$53$	6.13122	+	2.80004i	0.842188	+	0.384614i	0.0528720	+	0.998601i	$0.483162\pi$
$54$	−1.96204	+	2.26431i	−0.266999	+	0.308134i
$55$	5.40058	−	3.28759i	0.728214	−	0.443299i
$56$	−1.85489	−	4.06165i	−0.247870	−	0.542760i
$57$	−1.59319	+	5.42592i	−0.211024	+	0.718680i
$58$	2.05911	−	7.01270i	0.270375	−	0.920812i
$59$	−3.67827	−	8.05429i	−0.478870	−	1.04858i	−0.982773	−	0.184819i	$-0.940830\pi$
$59$	−3.67827	−	8.05429i	−0.478870	−	1.04858i	0.503903	−	0.863760i	$-0.331897\pi$
$60$	−2.49471	−	4.09810i	−0.322066	−	0.529063i
$61$	0.962688	−	1.11100i	0.123260	−	0.142249i	−0.690766	−	0.723079i	$-0.742726\pi$
$61$	0.962688	−	1.11100i	0.123260	−	0.142249i	0.814025	+	0.580830i	$0.197272\pi$
$62$	−1.68239	−	0.768323i	−0.213664	−	0.0975772i
$63$	3.87117	−	6.02365i	0.487721	−	0.758909i
$64$	0.142315	+	0.989821i	0.0177894	+	0.123728i
$65$	−3.41800	+	10.6714i	−0.423951	+	1.32362i
$66$	−3.97287	−	4.58494i	−0.489026	−	0.564367i
$67$	−3.95010	−	13.4528i	−0.482581	−	1.64352i	−0.736605	−	0.676323i	$-0.763572\pi$
$67$	−3.95010	−	13.4528i	−0.482581	−	1.64352i	0.254024	−	0.967198i	$-0.418246\pi$
$68$			1.03078i			0.125000i
$69$	−10.0369	−	2.26784i	−1.20830	−	0.273016i
$70$	−6.35256	−	7.70279i	−0.759276	−	0.920659i
$71$	5.75091	−	1.68862i	0.682507	−	0.200402i	0.0779421	−	0.996958i	$-0.475165\pi$
$71$	5.75091	−	1.68862i	0.682507	−	0.200402i	0.604565	+	0.796556i	$0.293347\pi$
$72$	−1.21192	+	1.05014i	−0.142826	+	0.123760i
$73$	0.315595	+	0.491075i	0.0369376	+	0.0574760i	0.859231	−	0.511587i	$-0.170942\pi$
$73$	0.315595	+	0.491075i	0.0369376	+	0.0574760i	−0.822294	+	0.569063i	$0.807306\pi$
$74$	−0.762938	−	5.30635i	−0.0886898	−	0.616851i
$75$	−7.75575	−	7.41205i	−0.895557	−	0.855869i
$76$	1.09488	−	2.39744i	0.125591	−	0.275005i
$77$	−9.54159	−	8.26783i	−1.08736	−	0.942207i
$78$	10.6426	+	1.53018i	1.20504	+	0.173259i
$79$	4.90969	+	10.7507i	0.552384	+	1.20955i	0.955660	+	0.294473i	$0.0951441\pi$
$79$	4.90969	+	10.7507i	0.552384	+	1.20955i	−0.403276	+	0.915078i	$0.632129\pi$
$80$	0.879053	+	2.05603i	0.0982811	+	0.229871i
$81$	10.7840	+	3.16647i	1.19822	+	0.351830i
$82$	−2.42508	+	1.10750i	−0.267805	+	0.122303i
$83$	8.64400	+	1.24282i	0.948802	+	0.136417i	0.599305	−	0.800520i	$-0.295444\pi$
$83$	8.64400	+	1.24282i	0.948802	+	0.136417i	0.349497	+	0.936938i	$0.386353\pi$
$84$	−6.27385	+	7.24041i	−0.684533	+	0.789993i
$85$	0.595276	+	2.22669i	0.0645668	+	0.241519i
$86$	−8.87904	−	5.70621i	−0.957451	−	0.615317i
$87$	−15.5221	+	2.23173i	−1.66414	+	0.239267i
$88$	1.52868	+	2.37867i	0.162957	+	0.253567i
$89$	0.803321	+	0.927082i	0.0851519	+	0.0982705i	0.796727	−	0.604340i	$-0.206563\pi$
$89$	0.803321	+	0.927082i	0.0851519	+	0.0982705i	−0.711575	+	0.702610i	$0.752018\pi$
$90$	−2.01155	+	2.96840i	−0.212036	+	0.312897i
$91$	22.3759			2.34563
$92$	4.47987	+	1.71195i	0.467059	+	0.178483i
$93$			3.96836i			0.411500i
$94$	9.14033	−	2.68384i	0.942753	−	0.276817i
$95$	0.980629	−	5.81126i	0.100610	−	0.596223i
$96$	1.80499	−	1.16000i	0.184221	−	0.118392i
$97$	5.00839	−	0.720098i	0.508525	−	0.0731148i	0.116723	−	0.993164i	$-0.462761\pi$
$97$	5.00839	−	0.720098i	0.508525	−	0.0731148i	0.391802	+	0.920050i	$0.371852\pi$
$98$	−6.99459	+	10.8838i	−0.706560	+	1.09943i
$99$	−1.88359	+	4.12448i	−0.189308	+	0.414526i
$100$	3.08630	+	3.93380i	0.308630	+	0.393380i
$101$	−1.15006	+	7.99884i	−0.114435	+	0.795914i	0.849081	+	0.528263i	$0.177156\pi$
$101$	−1.15006	+	7.99884i	−0.114435	+	0.795914i	−0.963516	+	0.267651i	$0.913753\pi$
$102$	2.01178	−	0.918748i	0.199196	−	0.0909696i
$103$	1.14159	−	3.88789i	0.112484	−	0.383086i	−0.883938	−	0.467604i	$-0.845117\pi$
$103$	1.14159	−	3.88789i	0.112484	−	0.383086i	0.996422	+	0.0845189i	$0.0269353\pi$
$104$	−4.80823	−	1.41182i	−0.471486	−	0.138441i
$105$	−9.37146	+	19.2639i	−0.914561	+	1.87997i
$106$	−0.959249	+	6.67173i	−0.0931705	+	0.648015i
$107$	3.74153	+	3.24205i	0.361707	+	0.313421i	0.816687	−	0.577081i	$-0.195808\pi$
$107$	3.74153	+	3.24205i	0.361707	+	0.313421i	−0.454980	+	0.890502i	$0.650354\pi$
$108$	−2.72536	−	1.24463i	−0.262248	−	0.119765i
$109$	−0.845706	−	0.543502i	−0.0810040	−	0.0520581i	0.499512	−	0.866307i	$-0.333513\pi$
$109$	−0.845706	−	0.543502i	−0.0810040	−	0.0520581i	−0.580516	+	0.814249i	$0.697149\pi$
$110$	4.67594	+	4.25560i	0.445833	+	0.405755i
$111$	−9.67643	+	6.21866i	−0.918446	+	0.590249i
$112$	3.37454	−	2.92405i	0.318864	−	0.276297i
$113$	4.20081	+	14.3067i	0.395179	+	1.34586i	0.881545	+	0.472101i	$0.156504\pi$
$113$	4.20081	+	14.3067i	0.395179	+	1.34586i	−0.486365	+	0.873756i	$0.661678\pi$
$114$	−5.65498			−0.529638
$115$	10.6661	+	1.11103i	0.994619	+	0.103604i
$116$	7.30875			0.678601
$117$	−2.26400	−	7.71049i	−0.209307	−	0.712835i
$118$	6.69174	−	5.79843i	0.616025	−	0.533789i
$119$	3.87194	−	2.48834i	0.354940	−	0.228106i
$120$	3.22926	−	3.54823i	0.294790	−	0.323907i
$121$	−2.52805	−	1.62468i	−0.229823	−	0.147698i
$122$	1.33722	+	0.610687i	0.121066	+	0.0552890i
$123$	4.32302	+	3.74592i	0.389793	+	0.337758i
$124$	0.263216	−	1.83071i	0.0236375	−	0.164402i
$125$	8.93882	+	6.71547i	0.799512	+	0.600650i
$126$	6.87029	+	2.01730i	0.612054	+	0.179715i
$127$	1.38874	−	4.72960i	0.123230	−	0.419684i	−0.874650	−	0.484754i	$-0.838909\pi$
$127$	1.38874	−	4.72960i	0.123230	−	0.419684i	0.997881	+	0.0650704i	$0.0207272\pi$
$128$	−0.909632	+	0.415415i	−0.0804009	+	0.0367178i
$129$	−3.22284	+	22.4153i	−0.283755	+	1.97356i
$130$	−11.2021	−	0.273069i	−0.982489	−	0.0239498i
$131$	−9.10304	+	19.9329i	−0.795337	+	1.74154i	−0.134635	+	0.990895i	$0.542986\pi$
$131$	−9.10304	+	19.9329i	−0.795337	+	1.74154i	−0.660701	+	0.750649i	$0.729741\pi$
$132$	3.27993	−	5.10367i	0.285481	−	0.444217i
$133$	−11.6486	+	1.67482i	−1.01007	+	0.145226i
$134$	11.7950	−	7.58018i	1.01893	−	0.654828i
$135$	−6.60611	−	1.11476i	−0.568564	−	0.0959430i
$136$	−0.989025	+	0.290404i	−0.0848082	+	0.0249019i
$137$			8.25702i			0.705445i	0.935728	+	0.352723i	$0.114744\pi$
$137$			8.25702i			0.705445i	−0.935728	+	0.352723i	$0.885256\pi$
$138$	−0.651751	−	10.2693i	−0.0554807	−	0.874179i
$139$	−19.5418			−1.65751			−0.828755	−	0.559611i	$-0.810950\pi$
$139$	−19.5418			−1.65751			−0.828755	+	0.559611i	$0.810950\pi$
$140$	5.60105	−	8.26536i	0.473375	−	0.698550i
$141$	−13.3850	−	15.4471i	−1.12722	−	1.30088i
$142$	3.24044	+	5.04222i	0.271931	+	0.423134i
$143$	−14.0251	+	2.01651i	−1.17284	+	0.168629i
$144$	−1.34904	−	0.866973i	−0.112420	−	0.0722478i
$145$	15.7884	−	4.22082i	1.31116	−	0.350520i
$146$	−0.382270	+	0.441163i	−0.0316369	+	0.0365109i
$147$	27.4763	+	3.95050i	2.26621	+	0.325832i
$148$	4.87646	−	2.22701i	0.400843	−	0.183059i
$149$	−0.509619	−	0.149638i	−0.0417496	−	0.0122588i	0.260791	−	0.965395i	$-0.416017\pi$
$149$	−0.509619	−	0.149638i	−0.0417496	−	0.0122588i	−0.302541	+	0.953136i	$0.597835\pi$
$150$	4.92676	−	9.52980i	0.402268	−	0.778105i
$151$	−3.50395	−	7.67259i	−0.285148	−	0.624386i	0.711807	−	0.702376i	$-0.247877\pi$
$151$	−3.50395	−	7.67259i	−0.285148	−	0.624386i	−0.996954	+	0.0779893i	$0.975150\pi$
$152$	2.60879	+	0.375087i	0.211601	+	0.0304236i
$153$	−1.24922	−	1.08246i	−0.100994	−	0.0875115i
$154$	5.24475	−	11.4844i	0.422634	−	0.925440i
$155$	−0.488636	−	4.10671i	−0.0392482	−	0.329859i
$156$	1.53018	+	10.6426i	0.122512	+	0.852093i
$157$	−1.44727	−	2.25200i	−0.115505	−	0.179729i	0.778688	−	0.627412i	$-0.215886\pi$
$157$	−1.44727	−	2.25200i	−0.115505	−	0.179729i	−0.894192	+	0.447683i	$0.852249\pi$
$158$	−8.93203	+	7.73964i	−0.710594	+	0.615733i
$159$	13.8762	−	4.07443i	1.10046	−	0.323124i
$160$	−1.72509	+	1.42270i	−0.136380	+	0.112474i
$161$	−4.38396	−	20.9606i	−0.345505	−	1.65192i
$162$			11.2393i			0.883040i
$163$	2.27325	+	7.74198i	0.178055	+	0.606399i	0.999355	+	0.0359028i	$0.0114307\pi$
$163$	2.27325	+	7.74198i	0.178055	+	0.606399i	−0.821301	+	0.570496i	$0.806751\pi$
$164$	−1.74586	−	2.01483i	−0.136329	−	0.157332i
$165$	4.13794	−	12.9191i	0.322138	−	1.00575i
$166$	1.24282	+	8.64400i	0.0964615	+	0.670904i
$167$	7.29581	−	11.3525i	0.564567	−	0.878483i	−0.435195	−	0.900336i	$-0.643320\pi$
$167$	7.29581	−	11.3525i	0.564567	−	0.878483i	0.999761	+	0.0218536i	$0.00695677\pi$
$168$	−8.71467	−	3.97986i	−0.672351	−	0.307053i
$169$	7.93189	−	9.15389i	0.610145	−	0.704145i
$170$	−1.96879	+	1.19850i	−0.150999	+	0.0919204i
$171$	1.75574	+	3.84454i	0.134265	+	0.294000i
$172$	2.97356	−	10.1270i	0.226732	−	0.772177i
$173$	−4.58148	+	15.6031i	−0.348323	+	1.18628i	0.580034	+	0.814592i	$0.303039\pi$
$173$	−4.58148	+	15.6031i	−0.348323	+	1.18628i	−0.928358	+	0.371688i	$0.878779\pi$
$174$	−6.51440	−	14.2645i	−0.493855	−	1.08139i
$175$	7.32617	−	21.0895i	0.553806	−	1.59422i
$176$	−1.85164	+	2.13690i	−0.139572	+	0.161075i
$177$	−17.2813	−	7.89210i	−1.29894	−	0.593207i
$178$	−0.663207	+	1.03197i	−0.0497095	+	0.0773495i
$179$	−0.162396	−	1.12949i	−0.0121381	−	0.0844222i	0.982852	−	0.184396i	$-0.0590330\pi$
$179$	−0.162396	−	1.12949i	−0.0121381	−	0.0844222i	−0.994990	+	0.0999743i	$0.968124\pi$
$180$	−3.41488	−	1.09377i	−0.254530	−	0.0815248i
$181$	−5.39162	−	6.22226i	−0.400756	−	0.462497i	0.519123	−	0.854700i	$-0.326259\pi$
$181$	−5.39162	−	6.22226i	−0.400756	−	0.462497i	−0.919879	+	0.392203i	$0.871713\pi$
$182$	6.30401	+	21.4695i	0.467284	+	1.59142i
$183$		−	3.15417i		−	0.233163i
$184$	−0.380478	+	4.78072i	−0.0280492	+	0.352439i
$185$	9.24807	−	7.62696i	0.679931	−	0.560745i
$186$	−3.80761	+	1.11802i	−0.279188	+	0.0819769i
$187$	−2.20267	+	1.90863i	−0.161075	+	0.139573i
$188$	5.15026	+	8.01396i	0.375621	+	0.584478i
$189$	1.90390	+	13.2419i	0.138488	+	0.963208i
$190$	5.85214	−	0.696315i	0.424559	−	0.0505160i
$191$	−8.46851	+	18.5434i	−0.612760	+	1.34176i	0.307911	+	0.951415i	$0.400370\pi$
$191$	−8.46851	+	18.5434i	−0.612760	+	1.34176i	−0.920670	+	0.390341i	$0.872357\pi$
$192$	1.62154	+	1.40507i	0.117024	+	0.101402i
$193$	24.6261	+	3.54069i	1.77262	+	0.254865i	0.949672	−	0.313247i	$-0.101417\pi$
$193$	24.6261	+	3.54069i	1.77262	+	0.254865i	0.822952	+	0.568112i	$0.192326\pi$
$194$	2.10195	+	4.60264i	0.150912	+	0.330450i
$195$	9.45165	+	22.1066i	0.676846	+	1.58309i
$196$	−12.4135	−	3.64494i	−0.886680	−	0.260353i
$197$	9.46829	−	4.32402i	0.674588	−	0.308074i	−0.0485069	−	0.998823i	$-0.515446\pi$
$197$	9.46829	−	4.32402i	0.674588	−	0.308074i	0.723095	+	0.690749i	$0.242719\pi$
$198$	−4.48807	−	0.645288i	−0.318954	−	0.0458586i
$199$	−2.93954	+	3.39241i	−0.208379	+	0.240482i	−0.850312	−	0.526278i	$-0.823587\pi$
$199$	−2.93954	+	3.39241i	−0.208379	+	0.240482i	0.641934	+	0.766760i	$0.278132\pi$
$200$	−2.90494	+	4.06956i	−0.205410	+	0.287761i
$201$	−25.3073	−	16.2640i	−1.78504	−	1.14718i
$202$	−7.99884	+	1.15006i	−0.562796	+	0.0809179i
$203$	−17.6436	−	27.4541i	−1.23834	−	1.92690i
$204$	1.44832	+	1.67144i	0.101402	+	0.117025i
$205$	−4.93498	−	3.34421i	−0.344674	−	0.233570i
$206$	4.05203			0.282318
$207$	−6.77922	+	3.63147i	−0.471189	+	0.252405i
$208$		−	5.01122i		−	0.347466i
$209$	7.15040	−	2.09955i	0.494604	−	0.145229i
$210$	−21.1239	−	3.56457i	−1.45768	−	0.245979i
$211$	17.6999	−	11.3750i	1.21851	−	0.783088i	0.236446	−	0.971645i	$-0.424017\pi$
$211$	17.6999	−	11.3750i	1.21851	−	0.783088i	0.982062	+	0.188557i	$0.0603810\pi$
$212$	−6.67173	+	0.959249i	−0.458216	+	0.0658815i
$213$	6.95268	−	10.8186i	0.476390	−	0.741277i
$214$	−2.05662	+	4.50336i	−0.140587	+	0.307843i
$215$	0.575134	−	23.5936i	0.0392238	−	1.60907i
$216$	0.426391	−	2.96561i	0.0290122	−	0.201785i
$217$	−7.51214	+	3.43068i	−0.509958	+	0.232890i
$218$	0.283224	−	0.964571i	0.0191823	−	0.0653290i
$219$	1.20174	+	0.352864i	0.0812062	+	0.0238443i
$220$	−2.76585	+	5.68547i	−0.186474	+	0.383314i
$221$	0.735121	−	5.11288i	0.0494496	−	0.343930i
$222$	−8.69293	−	7.53246i	−0.583431	−	0.505546i
$223$	−15.6662	−	7.15450i	−1.04908	−	0.479101i	−0.185153	−	0.982710i	$-0.559278\pi$
$223$	−15.6662	−	7.15450i	−1.04908	−	0.479101i	−0.863932	+	0.503609i	$0.832005\pi$
$224$	3.75632	+	2.41404i	0.250980	+	0.161295i
$225$	−8.00849	−	0.390672i	−0.533899	−	0.0260448i
$226$	−12.5436	+	8.06130i	−0.834390	+	0.536230i
$227$	−8.90509	+	7.71631i	−0.591052	+	0.512149i	−0.898243	−	0.439498i	$-0.855156\pi$
$227$	−8.90509	+	7.71631i	−0.591052	+	0.512149i	0.307192	+	0.951648i	$0.400611\pi$
$228$	−1.59319	−	5.42592i	−0.105512	−	0.359340i
$229$	6.65247			0.439607			0.219804	−	0.975544i	$-0.429458\pi$
$229$	6.65247			0.439607			0.219804	+	0.975544i	$0.429458\pi$
$230$	1.93896	+	10.5471i	0.127851	+	0.695452i
$231$	−27.0889			−1.78232
$232$	2.05911	+	7.01270i	0.135187	+	0.460406i
$233$	−12.4111	+	10.7543i	−0.813078	+	0.704536i	−0.958580	−	0.284822i	$-0.908065\pi$
$233$	−12.4111	+	10.7543i	−0.813078	+	0.704536i	0.145503	+	0.989358i	$0.453520\pi$
$234$	6.76032	−	4.34459i	0.441936	−	0.284015i
$235$	15.7537	+	14.3375i	1.02766	+	0.935277i
$236$	7.44884	+	4.78708i	0.484878	+	0.311612i
$237$	23.0668	+	10.5342i	1.49835	+	0.684272i
$238$	3.47840	+	3.01405i	0.225471	+	0.195372i
$239$	1.51948	−	10.5682i	0.0982868	−	0.683600i	−0.879791	−	0.475360i	$-0.842318\pi$
$239$	1.51948	−	10.5682i	0.0982868	−	0.683600i	0.978078	−	0.208239i	$-0.0667732\pi$
$240$	4.31428	+	2.09880i	0.278486	+	0.135477i
$241$	27.9611	+	8.21012i	1.80113	+	0.528861i	0.997777	−	0.0666376i	$-0.0212271\pi$
$241$	27.9611	+	8.21012i	1.80113	+	0.528861i	0.803357	+	0.595498i	$0.203045\pi$
$242$	0.846635	−	2.88337i	0.0544238	−	0.185350i
$243$	13.7597	−	6.28384i	0.882684	−	0.403108i
$244$	−0.209212	+	1.45510i	−0.0133934	+	0.0931534i
$245$	−28.9207	−	0.704990i	−1.84768	−	0.0450401i
$246$	−2.37625	+	5.20325i	−0.151504	+	0.331747i
$247$	−7.14060	+	11.1110i	−0.454345	+	0.706975i
$248$	1.83071	−	0.263216i	0.116250	−	0.0167142i
$249$	15.7628	−	10.1301i	0.998927	−	0.641972i
$250$	−3.92509	+	10.4687i	−0.248245	+	0.662099i
$251$	−6.83951	+	2.00826i	−0.431706	+	0.126760i	−0.490364	−	0.871518i	$-0.663136\pi$
$251$	−6.83951	+	2.00826i	−0.431706	+	0.126760i	0.0586578	+	0.998278i	$0.481318\pi$
$252$			7.16033i			0.451058i
$253$	4.63682	+	12.7429i	0.291514	+	0.801142i
$254$	4.92927			0.309290
$255$	4.09392	+	2.77426i	0.256371	+	0.173731i
$256$	−0.654861	−	0.755750i	−0.0409288	−	0.0472343i
$257$	7.22143	+	11.2368i	0.450460	+	0.700930i	0.990006	−	0.141026i	$-0.0450402\pi$
$257$	7.22143	+	11.2368i	0.450460	+	0.700930i	−0.539545	+	0.841956i	$0.681404\pi$
$258$	−22.4153	+	3.22284i	−1.39552	+	0.200645i
$259$	−20.1373	−	12.9415i	−1.25127	−	0.804145i
$260$	−2.89399	−	10.8253i	−0.179478	−	0.671355i
$261$	−7.67519	+	8.85764i	−0.475082	+	0.548274i
$262$	−21.6901	−	3.11856i	−1.34002	−	0.192666i
$263$	5.28678	−	2.41439i	0.325997	−	0.148878i	−0.245693	−	0.969348i	$-0.579015\pi$
$263$	5.28678	−	2.41439i	0.325997	−	0.148878i	0.571690	+	0.820470i	$0.306288\pi$
$264$	5.82099	+	1.70920i	0.358257	+	0.105194i
$265$	−13.8583	+	5.92511i	−0.851311	+	0.363977i
$266$	−4.88878	−	10.7049i	−0.299751	−	0.656362i
$267$	2.60523	+	0.374576i	0.159438	+	0.0229237i
$268$	10.5962	+	9.18163i	0.647264	+	0.560857i
$269$	0.834171	−	1.82658i	0.0508603	−	0.111368i	−0.882496	−	0.470320i	$-0.844138\pi$
$269$	0.834171	−	1.82658i	0.0508603	−	0.111368i	0.933356	+	0.358952i	$0.116866\pi$
$270$	−0.791555	−	6.65258i	−0.0481725	−	0.404863i
$271$	−0.446016	−	3.10211i	−0.0270935	−	0.188440i	0.971780	−	0.235889i	$-0.0758000\pi$
$271$	−0.446016	−	3.10211i	−0.0270935	−	0.188440i	−0.998874	+	0.0474487i	$0.984891\pi$
$272$	−0.557281	−	0.867146i	−0.0337901	−	0.0525784i
$273$	36.2833	−	31.4396i	2.19596	−	1.90281i
$274$	−7.92256	+	2.32627i	−0.478619	+	0.140535i
$275$	−2.69144	+	13.8791i	−0.162300	+	0.836939i
$276$	9.66968	−	3.51854i	0.582046	−	0.211791i
$277$		−	16.5668i		−	0.995401i	−0.867349	−	0.497700i	$-0.834178\pi$
$277$		−	16.5668i		−	0.995401i	0.867349	−	0.497700i	$-0.165822\pi$
$278$	−5.50555	−	18.7502i	−0.330201	−	1.12456i
$279$	1.94226	+	2.24149i	0.116280	+	0.134194i
$280$	9.50855	+	3.04555i	0.568245	+	0.182006i
$281$	1.47670	+	10.2707i	0.0880924	+	0.612696i	0.985267	+	0.171021i	$0.0547066\pi$
$281$	1.47670	+	10.2707i	0.0880924	+	0.612696i	−0.897175	+	0.441675i	$0.854384\pi$
$282$	11.0504	−	17.1948i	0.658042	−	1.02393i
$283$	−25.4272	−	11.6122i	−1.51149	−	0.690274i	−0.524551	−	0.851379i	$-0.675767\pi$
$283$	−25.4272	−	11.6122i	−1.51149	−	0.690274i	−0.986937	+	0.161105i	$0.948494\pi$
$284$	−3.92504	+	4.52973i	−0.232908	+	0.268790i
$285$	−6.57510	−	10.8010i	−0.389475	−	0.639798i
$286$	−5.88616	−	12.8889i	−0.348056	−	0.762136i
$287$	−3.35377	+	11.4219i	−0.197967	+	0.674213i
$288$	0.451787	−	1.53865i	0.0266218	−	0.0906656i
$289$	6.62068	+	14.4973i	0.389451	+	0.852780i
$290$	8.49796	+	13.9597i	0.499017	+	0.819744i
$291$	7.10950	−	8.20480i	0.416766	−	0.480974i
$292$	−0.530990	−	0.242495i	−0.0310739	−	0.0141910i
$293$	13.0744	−	20.3442i	0.763816	−	1.18852i	−0.213543	−	0.976934i	$-0.568500\pi$
$293$	13.0744	−	20.3442i	0.763816	−	1.18852i	0.977359	−	0.211588i	$-0.0678634\pi$
$294$	3.95050	+	27.4763i	0.230398	+	1.60245i
$295$	18.8556	+	6.03936i	1.09781	+	0.351625i
$296$	3.51065	+	4.05151i	0.204053	+	0.235489i
$297$	−2.38672	−	8.12842i	−0.138492	−	0.471659i
$298$		−	0.531134i		−	0.0307678i
$299$	−21.0002	−	11.6865i	−1.21447	−	0.675850i
$300$	10.5318	+	2.04233i	0.608054	+	0.117914i
$301$	−45.2186	+	13.2774i	−2.60636	+	0.765295i
$302$	6.37462	−	5.52364i	0.366818	−	0.317850i
$303$	9.37406	+	14.5863i	0.538526	+	0.837962i
$304$	0.375087	+	2.60879i	0.0215127	+	0.149624i
$305$	0.388383	+	3.26414i	0.0222387	+	0.186904i
$306$	0.686664	−	1.50358i	0.0392540	−	0.0859542i
$307$	1.10648	+	0.958774i	0.0631504	+	0.0547201i	0.685864	−	0.727730i	$-0.259424\pi$
$307$	1.10648	+	0.958774i	0.0631504	+	0.0547201i	−0.622714	+	0.782450i	$0.713970\pi$
$308$	12.4968	+	1.79677i	0.712072	+	0.102381i
$309$	−3.61163	−	7.90837i	−0.205459	−	0.449892i
$310$	3.80270	−	1.62584i	0.215979	−	0.0923413i
$311$	−7.77000	−	2.28148i	−0.440596	−	0.129371i	0.0539080	−	0.998546i	$-0.482832\pi$
$311$	−7.77000	−	2.28148i	−0.440596	−	0.129371i	−0.494504	+	0.869175i	$0.664650\pi$
$312$	−9.78043	+	4.46657i	−0.553708	+	0.252870i
$313$	−30.0393	−	4.31899i	−1.69792	−	0.244124i	−0.775786	−	0.630996i	$-0.782646\pi$
$313$	−30.0393	−	4.31899i	−1.69792	−	0.244124i	−0.922133	+	0.386872i	$0.873555\pi$
$314$	1.75303	−	2.02311i	0.0989294	−	0.114171i
$315$	4.13510	+	15.4678i	0.232987	+	0.871511i
$316$	−9.94258	−	6.38971i	−0.559314	−	0.359449i
$317$	26.8501	−	3.86046i	1.50805	−	0.216825i	0.661828	−	0.749656i	$-0.269781\pi$
$317$	26.8501	−	3.86046i	1.50805	−	0.216825i	0.846222	+	0.532831i	$0.178872\pi$
$318$	7.81878	+	12.1663i	0.438456	+	0.682250i
$319$	13.5331	+	15.6181i	0.757711	+	0.874445i
$320$	−1.85108	−	1.25439i	−0.103479	−	0.0701226i
$321$	10.6223			0.592881
$322$	18.8764	−	10.1117i	1.05194	−	0.563501i
$323$			2.71674i			0.151163i
$324$	−10.7840	+	3.16647i	−0.599111	+	0.175915i
$325$	−12.5032	−	21.7135i	−0.693554	−	1.20445i
$326$	−6.78792	+	4.36233i	−0.375948	+	0.241607i
$327$	−2.13500	+	0.306967i	−0.118066	+	0.0169753i
$328$	1.44135	−	2.24278i	0.0795852	−	0.123837i
$329$	17.6701	−	38.6921i	0.974183	−	2.13316i
$330$	13.5616	+	0.330586i	0.746542	+	0.0181982i
$331$	1.21817	−	8.47258i	0.0669569	−	0.465695i	−0.928565	−	0.371169i	$-0.878957\pi$
$331$	1.21817	−	8.47258i	0.0669569	−	0.465695i	0.995522	−	0.0945265i	$-0.0301337\pi$
$332$	−7.94371	+	3.62777i	−0.435968	+	0.199100i
$333$	−2.42199	+	8.24855i	−0.132724	+	0.452018i
$334$	12.9481	+	3.80191i	0.708489	+	0.208031i
$335$	28.1923	+	13.7149i	1.54031	+	0.749326i
$336$	1.36344	−	9.48292i	0.0743816	−	0.517336i
$337$	−17.9010	−	15.5113i	−0.975130	−	0.844955i	0.0127901	−	0.999918i	$-0.495929\pi$
$337$	−17.9010	−	15.5113i	−0.975130	−	0.844955i	−0.987920	+	0.154963i	$0.950474\pi$
$338$	11.0178	+	5.03164i	0.599287	+	0.273685i
$339$	26.9136	+	17.2963i	1.46175	+	0.939408i
$340$	−1.70462	−	1.55138i	−0.0924460	−	0.0841356i
$341$	4.39942	−	2.82733i	0.238242	−	0.153109i
$342$	−3.19416	+	2.76776i	−0.172721	+	0.149663i
$343$	7.46935	+	25.4383i	0.403307	+	1.37354i
$344$	10.5545			0.569062
$345$	18.8565	−	13.1850i	1.01520	−	0.709858i
$346$	−16.2618			−0.874240
$347$	3.76003	+	12.8055i	0.201849	+	0.687435i	0.996740	+	0.0806824i	$0.0257100\pi$
$347$	3.76003	+	12.8055i	0.201849	+	0.687435i	−0.794891	+	0.606753i	$0.792472\pi$
$348$	11.8514	−	10.2693i	0.635302	−	0.550493i
$349$	−26.9613	+	17.3270i	−1.44321	+	0.927493i	−0.443698	+	0.896176i	$0.646334\pi$
$349$	−26.9613	+	17.3270i	−1.44321	+	0.927493i	−0.999510	+	0.0313170i	$0.990030\pi$
$350$	22.2992	+	1.08781i	1.19194	+	0.0581457i
$351$	12.6307	+	8.11727i	0.674178	+	0.433268i
$352$	−2.57201	−	1.17460i	−0.137088	−	0.0626062i
$353$	11.8927	+	10.3051i	0.632985	+	0.548484i	0.911164	−	0.412045i	$-0.135185\pi$
$353$	11.8927	+	10.3051i	0.632985	+	0.548484i	−0.278179	+	0.960529i	$0.589731\pi$
$354$	2.70371	−	18.8047i	0.143701	−	0.999460i
$355$	−5.86296	+	12.0519i	−0.311174	+	0.639647i
$356$	−1.17702	−	0.345603i	−0.0623817	−	0.0183169i
$357$	2.78219	−	9.47528i	0.147249	−	0.501485i
$358$	1.03799	−	0.474033i	0.0548593	−	0.0250534i
$359$	−0.876637	+	6.09714i	−0.0462671	+	0.321795i	0.953523	+	0.301319i	$0.0974271\pi$
$359$	−0.876637	+	6.09714i	−0.0462671	+	0.321795i	−0.999790	+	0.0204754i	$0.993482\pi$
$360$	0.0873829	−	3.58470i	0.00460548	−	0.188930i
$361$	−5.00721	+	10.9643i	−0.263538	+	0.577067i
$362$	4.45122	−	6.92624i	0.233951	−	0.364035i
$363$	−6.38212	+	0.917611i	−0.334974	+	0.0481621i
$364$	−18.8238	+	12.0973i	−0.986634	+	0.634071i
$365$	−1.28709	−	0.217192i	−0.0673694	−	0.0113683i
$366$	3.02641	−	0.888633i	0.158193	−	0.0464496i
$367$			8.40662i			0.438822i	0.975633	+	0.219411i	$0.0704136\pi$
$367$			8.40662i			0.438822i	−0.975633	+	0.219411i	$0.929586\pi$
$368$	−4.69426	+	0.981817i	−0.244705	+	0.0511808i
$369$	4.27521			0.222558
$370$	9.92349	+	6.72469i	0.515898	+	0.349600i
$371$	19.7091	+	22.7455i	1.02325	+	1.18089i
$372$	−2.14546	−	3.33840i	−0.111237	−	0.173088i
$373$	20.9647	−	3.01427i	1.08551	−	0.156073i	0.423743	−	0.905782i	$-0.360716\pi$
$373$	20.9647	−	3.01427i	1.08551	−	0.156073i	0.661767	+	0.749709i	$0.269807\pi$
$374$	−2.45188	−	1.57573i	−0.126784	−	0.0814788i
$375$	23.9303	−	1.67027i	1.23576	−	0.0862525i
$376$	−6.23834	+	7.19943i	−0.321718	+	0.371282i
$377$	−36.2530	−	5.21239i	−1.86712	−	0.268452i
$378$	−12.1691	+	5.55746i	−0.625913	+	0.285845i
$379$	−3.00851	−	0.883378i	−0.154537	−	0.0453761i	0.203549	−	0.979065i	$-0.434752\pi$
$379$	−3.00851	−	0.883378i	−0.154537	−	0.0453761i	−0.358086	+	0.933689i	$0.616571\pi$
$380$	2.31685	+	5.41891i	0.118852	+	0.277984i
$381$	−4.39353	−	9.62049i	−0.225087	−	0.492873i
$382$	−20.1782	−	2.90118i	−1.03240	−	0.148437i
$383$	−20.8576	−	18.0732i	−1.06577	−	0.923499i	−0.0685274	−	0.997649i	$-0.521830\pi$
$383$	−20.8576	−	18.0732i	−1.06577	−	0.923499i	−0.997247	+	0.0741504i	$0.976376\pi$
$384$	−0.891315	+	1.95171i	−0.0454847	+	0.0995976i
$385$	28.0334	−	3.33554i	1.42871	−	0.169995i
$386$	3.54069	+	24.6261i	0.180217	+	1.25343i
$387$	9.15050	+	14.2385i	0.465146	+	0.723781i
$388$	−3.82401	+	3.31352i	−0.194135	+	0.168219i
$389$	17.0188	−	4.99716i	0.862885	−	0.253366i	0.179799	−	0.983703i	$-0.442455\pi$
$389$	17.0188	−	4.99716i	0.862885	−	0.253366i	0.683086	+	0.730338i	$0.260637\pi$
$390$	−18.5483	+	15.2969i	−0.939230	+	0.774591i
$391$	−4.93351	+	0.313111i	−0.249498	+	0.0158347i
$392$		−	12.9376i		−	0.653447i
$393$	13.2462	+	45.1123i	0.668181	+	2.27562i
$394$	6.81640	+	7.86654i	0.343405	+	0.396311i
$395$	−25.1681	−	8.06123i	−1.26634	−	0.405604i
$396$	−0.645288	−	4.48807i	−0.0324269	−	0.225534i
$397$	1.19416	−	1.85815i	0.0599330	−	0.0932576i	−0.809994	−	0.586439i	$-0.800530\pi$
$397$	1.19416	−	1.85815i	0.0599330	−	0.0932576i	0.869927	+	0.493181i	$0.164166\pi$
$398$	−4.08316	−	1.86472i	−0.204670	−	0.0934698i
$399$	−16.5355	+	19.0829i	−0.827809	+	0.955342i
$400$	−4.72313	−	1.64074i	−0.236157	−	0.0820371i
$401$	5.22524	+	11.4417i	0.260936	+	0.571370i	0.994073	−	0.108711i	$-0.0346722\pi$
$401$	5.22524	+	11.4417i	0.260936	+	0.571370i	−0.733138	+	0.680080i	$0.761945\pi$
$402$	8.47533	−	28.8643i	0.422711	−	1.43962i
$403$	−2.61121	+	8.89298i	−0.130074	+	0.442991i
$404$	−3.35701	−	7.35082i	−0.167017	−	0.365717i
$405$	−21.4670	+	13.0680i	−1.06670	+	0.649354i
$406$	21.3712	−	24.6637i	1.06063	−	1.22404i
$407$	13.7883	+	6.29691i	0.683462	+	0.312126i
$408$	−1.19570	+	1.86055i	−0.0591961	+	0.0921109i
$409$	−0.369184	−	2.56773i	−0.0182550	−	0.126966i	0.978656	−	0.205505i	$-0.0658836\pi$
$409$	−0.369184	−	2.56773i	−0.0182550	−	0.126966i	−0.996911	+	0.0785388i	$0.974975\pi$
$410$	1.81840	−	5.67725i	0.0898044	−	0.280380i
$411$	11.6017	+	13.3891i	0.572269	+	0.660434i
$412$	1.14159	+	3.88789i	0.0562420	+	0.191543i
$413$		−	39.5365i		−	1.94546i
$414$	−5.39430	−	5.48151i	−0.265115	−	0.269402i
$415$	−15.0650	+	12.4242i	−0.739512	+	0.609882i
$416$	4.80823	−	1.41182i	0.235743	−	0.0692204i
$417$	−31.6877	+	27.4575i	−1.55175	+	1.34460i
$418$	4.02900	+	6.26925i	0.197065	+	0.306639i
$419$	−1.98268	−	13.7898i	−0.0968603	−	0.673678i	−0.979175	−	0.203018i	$-0.934925\pi$
$419$	−1.98268	−	13.7898i	−0.0968603	−	0.673678i	0.882315	−	0.470660i	$-0.155984\pi$
$420$	−2.53109	−	21.2724i	−0.123505	−	1.03799i
$421$	−8.60168	+	18.8351i	−0.419220	+	0.917965i	0.575734	+	0.817637i	$0.304716\pi$
$421$	−8.60168	+	18.8351i	−0.419220	+	0.917965i	−0.994954	+	0.100328i	$0.968011\pi$
$422$	15.9009	+	13.7782i	0.774042	+	0.670711i
$423$	−15.1208	−	2.17404i	−0.735197	−	0.105705i
$424$	−2.80004	−	6.13122i	−0.135982	−	0.297759i
$425$	−4.57826	−	2.36689i	−0.222078	−	0.114811i
$426$	12.3392	+	3.62310i	0.597834	+	0.175540i
$427$	5.97088	−	2.72681i	0.288951	−	0.131960i
$428$	−4.90036	−	0.704565i	−0.236868	−	0.0340565i
$429$	−19.9089	+	22.9761i	−0.961212	+	1.10930i
$430$	22.8000	−	6.09526i	1.09951	−	0.293940i
$431$	−14.8257	−	9.52791i	−0.714129	−	0.458943i	0.132461	−	0.991188i	$-0.457712\pi$
$431$	−14.8257	−	9.52791i	−0.714129	−	0.458943i	−0.846590	+	0.532245i	$0.821348\pi$
$432$	2.96561	−	0.426391i	0.142683	−	0.0205147i
$433$	−2.87236	−	4.46948i	−0.138037	−	0.214790i	0.765352	−	0.643612i	$-0.222565\pi$
$433$	−2.87236	−	4.46948i	−0.138037	−	0.214790i	−0.903389	+	0.428822i	$0.858929\pi$
$434$	−5.40813	−	6.24131i	−0.259599	−	0.299593i
$435$	19.6710	−	29.0280i	0.943150	−	1.39179i
$436$	1.00529			0.0481448
$437$	11.8072	+	4.51204i	0.564816	+	0.215840i
$438$			1.25248i			0.0598457i
$439$	20.3051	−	5.96212i	0.969110	−	0.284556i	0.241388	−	0.970429i	$-0.422397\pi$
$439$	20.3051	−	5.96212i	0.969110	−	0.284556i	0.727722	+	0.685872i	$0.240579\pi$
$440$	−6.23440	−	1.05203i	−0.297213	−	0.0501537i
$441$	17.4533	−	11.2165i	0.831108	−	0.534121i
$442$	5.11288	−	0.735121i	0.243195	−	0.0349661i
$443$	0.626481	−	0.974823i	0.0297650	−	0.0463152i	−0.826052	−	0.563594i	$-0.809418\pi$
$443$	0.626481	−	0.974823i	0.0297650	−	0.0463152i	0.855817	+	0.517278i	$0.173055\pi$
$444$	4.77827	−	10.4629i	0.226766	−	0.496549i
$445$	−2.74218	−	0.0668452i	−0.129992	−	0.00316877i
$446$	2.45102	−	17.0472i	0.116059	−	0.807210i
$447$	−1.03662	+	0.473407i	−0.0490303	+	0.0223914i
$448$	−1.25798	+	4.28428i	−0.0594339	+	0.202413i
$449$	−30.9405	−	9.08495i	−1.46017	−	0.428745i	−0.547281	−	0.836949i	$-0.684337\pi$
$449$	−30.9405	−	9.08495i	−1.46017	−	0.428745i	−0.912891	+	0.408203i	$0.866155\pi$
$450$	−1.88141	−	7.79416i	−0.0886903	−	0.367420i
$451$	1.07280	−	7.46145i	0.0505160	−	0.351346i
$452$	−11.2687	−	9.76439i	−0.530035	−	0.459278i
$453$	−16.4623	−	7.51809i	−0.773467	−	0.353230i
$454$	−9.91260	−	6.37044i	−0.465221	−	0.298980i
$455$	−33.6770	+	37.0034i	−1.57880	+	1.73475i
$456$	4.75727	−	3.05731i	0.222780	−	0.143172i
$457$	−0.141553	+	0.122656i	−0.00662156	+	0.00573761i	−0.658165	−	0.752874i	$-0.728667\pi$
$457$	−0.141553	+	0.122656i	−0.00662156	+	0.00573761i	0.651544	+	0.758611i	$0.274122\pi$
$458$	1.87422	+	6.38300i	0.0875764	+	0.298258i
$459$	3.08833			0.144151
$460$	−9.57356	+	4.83187i	−0.446370	+	0.225287i
$461$	12.4537			0.580028			0.290014	−	0.957022i	$-0.406340\pi$
$461$	12.4537			0.580028			0.290014	+	0.957022i	$0.406340\pi$
$462$	−7.63183	−	25.9916i	−0.355065	−	1.20924i
$463$	6.36485	−	5.51517i	0.295799	−	0.256312i	−0.494299	−	0.869292i	$-0.664575\pi$
$463$	6.36485	−	5.51517i	0.295799	−	0.256312i	0.790098	+	0.612981i	$0.210030\pi$
$464$	−6.14851	+	3.95141i	−0.285438	+	0.183440i
$465$	−6.56256	−	5.97262i	−0.304331	−	0.276974i
$466$	−13.8153	−	8.87853i	−0.639979	−	0.411290i
$467$	−34.1117	−	15.5783i	−1.57850	−	0.720878i	−0.582725	−	0.812670i	$-0.698013\pi$
$467$	−34.1117	−	15.5783i	−1.57850	−	0.720878i	−0.995778	+	0.0917915i	$0.970741\pi$
$468$	6.07321	+	5.26247i	0.280734	+	0.243258i
$469$	8.90958	−	61.9675i	0.411406	−	2.86139i
$470$	−9.31842	+	19.1549i	−0.429827	+	0.883550i
$471$	−5.51102	−	1.61818i	−0.253934	−	0.0745619i
$472$	−2.49459	+	8.49578i	−0.114823	+	0.391050i
$473$	27.1463	−	12.3973i	1.24819	−	0.570029i
$474$	−3.60887	+	25.1002i	−0.165761	+	1.15289i
$475$	8.13430	+	10.3680i	0.373227	+	0.475716i
$476$	−1.91198	+	4.18666i	−0.0876355	+	0.191895i
$477$	5.84369	−	9.09296i	0.267564	−	0.416338i
$478$	10.5682	−	1.51948i	0.483378	−	0.0694993i
$479$	−1.12834	+	0.725140i	−0.0515552	+	0.0331325i	−0.566165	−	0.824292i	$-0.691573\pi$
$479$	−1.12834	+	0.725140i	−0.0515552	+	0.0331325i	0.514609	+	0.857425i	$0.327937\pi$
$480$	−0.798310	+	4.73083i	−0.0364377	+	0.215932i
$481$	−25.7765	+	7.56867i	−1.17531	+	0.345102i
$482$			29.1416i			1.32736i
$483$	−36.5598	−	27.8286i	−1.66353	−	1.26624i
$484$	3.00510			0.136596
$485$	−6.34709	+	9.36627i	−0.288206	+	0.425300i
$486$	9.90585	+	11.4320i	0.449338	+	0.518564i
$487$	11.4246	+	17.7771i	0.517699	+	0.805556i	0.997414	−	0.0718687i	$-0.0228963\pi$
$487$	11.4246	+	17.7771i	0.517699	+	0.805556i	−0.479715	+	0.877424i	$0.659260\pi$
$488$	−1.45510	+	0.209212i	−0.0658694	+	0.00947059i
$489$	14.5642	+	9.35983i	0.658615	+	0.423266i
$490$	−7.47148	−	27.9478i	−0.337527	−	1.26256i
$491$	8.53136	−	9.84571i	0.385015	−	0.444331i	−0.529850	−	0.848091i	$-0.677752\pi$
$491$	8.53136	−	9.84571i	0.385015	−	0.444331i	0.914865	+	0.403761i	$0.132297\pi$
$492$	−5.66195	−	0.814065i	−0.255260	−	0.0367009i
$493$	−6.85290	+	3.12961i	−0.308639	+	0.140951i
$494$	−12.6727	−	3.72103i	−0.570170	−	0.167417i
$495$	−3.98583	−	9.32251i	−0.179150	−	0.419016i
$496$	0.768323	+	1.68239i	0.0344987	+	0.0755417i
$497$	26.4904	+	3.80874i	1.18825	+	0.170845i
$498$	14.1607	+	12.2703i	0.634556	+	0.549846i
$499$	3.85270	−	8.43623i	0.172470	−	0.377658i	−0.803582	−	0.595195i	$-0.797075\pi$
$499$	3.85270	−	8.43623i	0.172470	−	0.377658i	0.976052	+	0.217537i	$0.0698023\pi$
$500$	−11.1505	−	0.816727i	−0.498664	−	0.0365251i
$501$	−4.12063	−	28.6596i	−0.184096	−	1.28042i
$502$	−3.85382	−	5.99667i	−0.172005	−	0.267644i
$503$	10.3562	−	8.97373i	0.461762	−	0.400119i	−0.392672	−	0.919678i	$-0.628449\pi$
$503$	10.3562	−	8.97373i	0.461762	−	0.400119i	0.854434	+	0.519559i	$0.173904\pi$
$504$	−6.87029	+	2.01730i	−0.306027	+	0.0898576i
$505$	−11.4969	−	13.9406i	−0.511607	−	0.620349i
$506$	−10.9204	+	8.03910i	−0.485472	+	0.357381i
$507$		−	25.9882i		−	1.15418i
$508$	1.38874	+	4.72960i	0.0616152	+	0.209842i
$509$	4.20288	+	4.85039i	0.186290	+	0.214990i	0.841210	−	0.540708i	$-0.181844\pi$
$509$	4.20288	+	4.85039i	0.186290	+	0.214990i	−0.654921	+	0.755697i	$0.727298\pi$
$510$	−1.50849	+	4.70969i	−0.0667972	+	0.208549i
$511$	0.370943	+	2.57997i	0.0164096	+	0.114131i
$512$	0.540641	−	0.841254i	0.0238932	−	0.0371785i
$513$	−7.18300	−	3.28037i	−0.317137	−	0.144832i
$514$	−8.74708	+	10.0947i	−0.385817	+	0.445257i
$515$	4.71133	+	7.73938i	0.207606	+	0.341038i
$516$	−9.40741	−	20.5994i	−0.414138	−	0.906836i
$517$	−7.58864	+	25.8445i	−0.333748	+	1.13664i
$518$	6.74392	−	22.9677i	0.296311	−	1.00914i
$519$	14.4944	+	31.7383i	0.636233	+	1.39316i
$520$	9.57144	−	5.82659i	0.419735	−	0.255513i
$521$	16.4281	−	18.9590i	0.719727	−	0.830609i	−0.271548	−	0.962425i	$-0.587535\pi$
$521$	16.4281	−	18.9590i	0.719727	−	0.830609i	0.991274	+	0.131816i	$0.0420809\pi$
$522$	−10.6612	−	4.86880i	−0.466628	−	0.213102i
$523$	−3.65423	+	5.68609i	−0.159788	+	0.248635i	−0.911911	−	0.410387i	$-0.865394\pi$
$523$	−3.65423	+	5.68609i	−0.159788	+	0.248635i	0.752123	+	0.659023i	$0.229030\pi$
$524$	−3.11856	−	21.6901i	−0.136235	−	0.947536i
$525$	−17.7526	−	44.4912i	−0.774785	−	1.94175i
$526$	3.80605	+	4.39241i	0.165952	+	0.191518i
$527$	0.537111	+	1.82923i	0.0233969	+	0.0796826i
$528$			6.06674i			0.264021i
$529$	−6.83292	+	21.9616i	−0.297083	+	0.954852i
$530$	−9.58945	−	11.6277i	−0.416539	−	0.505074i
$531$	−13.6239	+	4.00033i	−0.591225	+	0.173599i
$532$	8.89399	−	7.70668i	0.385603	−	0.334127i
$533$	7.22292	+	11.2391i	0.312859	+	0.486818i
$534$	0.374576	+	2.60523i	0.0162095	+	0.112739i
$535$	−10.9927	+	1.30796i	−0.475255	+	0.0565480i
$536$	−5.82442	+	12.7537i	−0.251577	+	0.550876i
$537$	−1.85035	−	1.60333i	−0.0798483	−	0.0691890i
$538$	1.98760	+	0.285774i	0.0856916	+	0.0123206i
$539$	−15.1964	−	33.2756i	−0.654557	−	1.43328i
$540$	6.16010	−	2.63374i	0.265088	−	0.113338i
$541$	25.0109	+	7.34386i	1.07530	+	0.315737i	0.770998	−	0.636838i	$-0.219758\pi$
$541$	25.0109	+	7.34386i	1.07530	+	0.315737i	0.304304	+	0.952575i	$0.401576\pi$
$542$	2.85080	−	1.30191i	0.122452	−	0.0559220i
$543$	−17.4854	−	2.51402i	−0.750371	−	0.107887i
$544$	0.675016	−	0.779010i	0.0289411	−	0.0333998i
$545$	2.17164	−	0.580558i	0.0930228	−	0.0248684i
$546$	40.3883	+	25.9560i	1.72846	+	1.11081i
$547$	−19.2693	+	2.77050i	−0.823894	+	0.118458i	−0.541351	−	0.840797i	$-0.682087\pi$
$547$	−19.2693	+	2.77050i	−0.823894	+	0.118458i	−0.282543	+	0.959255i	$0.591178\pi$
$548$	−4.46408	−	6.94625i	−0.190696	−	0.296729i
$549$	−1.54377	−	1.78160i	−0.0658865	−	0.0760370i
$550$	−14.0751	+	1.32777i	−0.600166	+	0.0566163i
$551$	19.2631			0.820635
$552$	6.10028	+	8.28670i	0.259645	+	0.352706i
$553$			52.7726i			2.24412i
$554$	15.8957	−	4.66740i	0.675344	−	0.198299i
$555$	4.27967	−	25.3616i	0.181662	−	1.07654i
$556$	16.4396	−	10.5651i	0.697193	−	0.448059i
$557$	−5.91272	+	0.850120i	−0.250530	+	0.0360207i	−0.266436	−	0.963853i	$-0.585846\pi$
$557$	−5.91272	+	0.850120i	−0.250530	+	0.0360207i	0.0159057	+	0.999873i	$0.494937\pi$
$558$	−1.60349	+	2.49509i	−0.0678813	+	0.105625i
$559$	−21.9718	+	48.1114i	−0.929306	+	2.03490i
$560$	−0.243313	+	9.98142i	−0.0102819	+	0.421792i
$561$	−0.889961	+	6.18981i	−0.0375742	+	0.261334i
$562$	−9.43859	+	4.31046i	−0.398143	+	0.181826i
$563$	−11.0799	+	37.7345i	−0.466961	+	1.59032i	0.303498	+	0.952832i	$0.401845\pi$
$563$	−11.0799	+	37.7345i	−0.466961	+	1.59032i	−0.770459	+	0.637490i	$0.779973\pi$
$564$	19.6115	+	5.75846i	0.825793	+	0.242475i
$565$	−29.9817	−	14.5854i	−1.26134	−	0.613612i
$566$	3.97816	−	27.6687i	0.167215	−	1.16300i
$567$	37.9273	+	32.8642i	1.59280	+	1.38017i
$568$	−5.45206	−	2.48987i	−0.228763	−	0.104473i
$569$	−17.0762	−	10.9742i	−0.715870	−	0.460062i	0.131328	−	0.991339i	$-0.458076\pi$
$569$	−17.0762	−	10.9742i	−0.715870	−	0.460062i	−0.847198	+	0.531277i	$0.821712\pi$
$570$	8.51109	−	9.35176i	0.356490	−	0.391702i
$571$	38.0729	−	24.4680i	1.59330	−	1.02395i	0.622949	−	0.782263i	$-0.285934\pi$
$571$	38.0729	−	24.4680i	1.59330	−	1.02395i	0.970353	−	0.241691i	$-0.0777019\pi$
$572$	10.7085	−	9.27895i	0.447744	−	0.387972i
$573$	12.3228	+	41.9677i	0.514794	+	1.75323i
$574$	−11.9041			−0.496867
$575$	−17.8905	+	15.9666i	−0.746083	+	0.665852i
$576$	1.60360			0.0668168
$577$	3.02905	+	10.3160i	0.126101	+	0.429461i	0.998207	−	0.0598564i	$-0.0190643\pi$
$577$	3.02905	+	10.3160i	0.126101	+	0.429461i	−0.872106	+	0.489317i	$0.837246\pi$
$578$	−12.0448	+	10.4368i	−0.500996	+	0.434115i
$579$	44.9070	−	28.8600i	1.86627	−	1.19938i
$580$	−11.0001	+	12.0866i	−0.456755	+	0.501870i
$581$	32.8036	+	21.0816i	1.36092	+	0.874611i
$582$	9.87543	+	4.50996i	0.409350	+	0.186944i
$583$	−14.4034	−	12.4806i	−0.596529	−	0.516895i
$584$	0.0830751	−	0.577800i	0.00343767	−	0.0239095i
$585$	16.1585	+	7.86072i	0.668070	+	0.325001i
$586$	23.2036	+	6.81320i	0.958533	+	0.281451i
$587$	−0.463798	+	1.57955i	−0.0191430	+	0.0651951i	−0.968511	−	0.248972i	$-0.919907\pi$
$587$	−0.463798	+	1.57955i	−0.0191430	+	0.0651951i	0.949368	+	0.314167i	$0.101725\pi$
$588$	−25.2504	+	11.5315i	−1.04131	+	0.475549i
$589$	0.693736	−	4.82504i	0.0285849	−	0.198812i
$590$	−0.482493	+	19.7933i	−0.0198639	+	0.814876i
$591$	9.27763	−	20.3152i	0.381631	−	0.835655i
$592$	−2.89833	+	4.50989i	−0.119121	+	0.185355i
$593$	28.9509	−	4.16251i	1.18887	−	0.170934i	0.480643	−	0.876917i	$-0.340403\pi$
$593$	28.9509	−	4.16251i	1.18887	−	0.170934i	0.708229	+	0.705983i	$0.249494\pi$
$594$	7.12675	−	4.58008i	0.292414	−	0.187923i
$595$	−1.71247	+	10.1482i	−0.0702046	+	0.416036i
$596$	0.509619	−	0.149638i	0.0208748	−	0.00612940i
$597$			9.63119i			0.394178i
$598$	5.29672	−	23.4420i	0.216599	−	0.958616i
$599$	25.0823			1.02483			0.512417	−	0.858737i	$-0.328750\pi$
$599$	25.0823			1.02483			0.512417	+	0.858737i	$0.328750\pi$
$600$	1.00755	+	10.6806i	0.0411329	+	0.436033i
$601$	18.0593	+	20.8416i	0.736656	+	0.850146i	0.993204	−	0.116385i	$-0.0371307\pi$
$601$	18.0593	+	20.8416i	0.736656	+	0.850146i	−0.256548	+	0.966531i	$0.582585\pi$
$602$	−25.4791	−	39.6463i	−1.03845	−	1.61586i
$603$	−22.2548	+	3.19976i	−0.906287	+	0.130304i
$604$	7.09583	+	4.56021i	0.288725	+	0.185552i
$605$	6.49164	−	1.73545i	0.263923	−	0.0705562i
$606$	−11.3545	+	13.1038i	−0.461245	+	0.532305i
$607$	27.7696	+	3.99267i	1.12714	+	0.162058i	0.680563	−	0.732690i	$-0.261735\pi$
$607$	27.7696	+	3.99267i	1.12714	+	0.162058i	0.446573	+	0.894747i	$0.352644\pi$
$608$	−2.39744	+	1.09488i	−0.0972291	+	0.0444030i
$609$	−67.1847	−	19.7272i	−2.72246	−	0.799387i
$610$	−3.02250	+	1.29227i	−0.122377	+	0.0523223i
$611$	−19.8311	−	43.4240i	−0.802279	−	1.75675i
$612$	1.63613	+	0.235241i	0.0661368	+	0.00950904i
$613$	−12.0625	−	10.4522i	−0.487198	−	0.422159i	0.376311	−	0.926494i	$-0.377193\pi$
$613$	−12.0625	−	10.4522i	−0.487198	−	0.422159i	−0.863509	+	0.504334i	$0.831738\pi$
$614$	−0.608205	+	1.33178i	−0.0245451	+	0.0537464i
$615$	−12.7011	+	1.51124i	−0.512158	+	0.0609389i
$616$	1.79677	+	12.4968i	0.0723940	+	0.503511i
$617$	−5.67040	−	8.82331i	−0.228282	−	0.355213i	0.708151	−	0.706061i	$-0.249530\pi$
$617$	−5.67040	−	8.82331i	−0.228282	−	0.355213i	−0.936432	+	0.350848i	$0.885893\pi$
$618$	6.57052	−	5.69338i	0.264305	−	0.229021i
$619$	−3.08043	+	0.904497i	−0.123813	+	0.0363548i	−0.343052	−	0.939316i	$-0.611461\pi$
$619$	−3.08043	+	0.904497i	−0.123813	+	0.0363548i	0.219239	+	0.975671i	$0.429643\pi$
$620$	2.63132	+	3.19061i	0.105676	+	0.128138i
$621$	5.12919	−	13.4222i	0.205827	−	0.538614i
$622$		−	8.09803i		−	0.324701i
$623$	1.54317	+	5.25555i	0.0618258	+	0.210559i
$624$	−7.04111	−	8.12588i	−0.281870	−	0.325295i
$625$	−24.5590	+	4.67512i	−0.982359	+	0.187005i
$626$	−4.31899	−	30.0393i	−0.172622	−	1.20061i
$627$	8.64463	−	13.4513i	0.345233	−	0.537194i
$628$	2.43505	+	1.11205i	0.0971689	+	0.0443755i
$629$	−3.61871	+	4.17621i	−0.144287	+	0.166516i
$630$	−13.6762	+	8.32538i	−0.544875	+	0.331691i
$631$	−2.07634	−	4.54655i	−0.0826577	−	0.180995i	0.863790	−	0.503852i	$-0.168084\pi$
$631$	−2.07634	−	4.54655i	−0.0826577	−	0.180995i	−0.946448	+	0.322856i	$0.895357\pi$
$632$	3.32973	−	11.3400i	0.132450	−	0.451082i
$633$	12.7183	−	43.3145i	0.505507	−	1.72160i
$634$	11.2686	+	24.6748i	0.447534	+	0.979963i
$635$	5.73131	+	9.41491i	0.227440	+	0.373619i
$636$	−9.47064	+	10.9297i	−0.375535	+	0.433391i
$637$	58.9742	+	26.9326i	2.33664	+	1.06711i
$638$	−11.1727	+	17.3851i	−0.442332	+	0.688282i
$639$	−1.36786	−	9.51368i	−0.0541117	−	0.376355i
$640$	0.682070	−	2.12950i	0.0269612	−	0.0841760i
$641$	10.8861	+	12.5633i	0.429976	+	0.496219i	0.928850	−	0.370456i	$-0.120798\pi$
$641$	10.8861	+	12.5633i	0.429976	+	0.496219i	−0.498874	+	0.866674i	$0.666253\pi$
$642$	2.99266	+	10.1921i	0.118111	+	0.402248i
$643$		−	37.1232i		−	1.46400i	−0.681306	−	0.731999i	$-0.738588\pi$
$643$		−	37.1232i		−	1.46400i	0.681306	−	0.731999i	$-0.261412\pi$
$644$	15.0202	+	15.2630i	0.591877	+	0.601446i
$645$	−32.2181	−	39.0661i	−1.26859	−	1.53823i
$646$	−2.60669	+	0.765393i	−0.102559	+	0.0301140i
$647$	32.0100	−	27.7369i	1.25844	−	1.09045i	0.266492	−	0.963837i	$-0.414135\pi$
$647$	32.0100	−	27.7369i	1.25844	−	1.09045i	0.991952	−	0.126611i	$-0.0404100\pi$
$648$	−6.07641	−	9.45507i	−0.238704	−	0.371430i
$649$	3.56302	+	24.7813i	0.139861	+	0.972753i
$650$	17.3114	−	18.1142i	0.679010	−	0.710496i
$651$	−7.36087	+	16.1181i	−0.288495	+	0.631717i
$652$	−6.09801	−	5.28395i	−0.238816	−	0.206936i
$653$	−3.89702	−	0.560307i	−0.152502	−	0.0219265i	0.0656408	−	0.997843i	$-0.479091\pi$
$653$	−3.89702	−	0.560307i	−0.152502	−	0.0219265i	−0.218143	+	0.975917i	$0.570000\pi$
$654$	−0.896032	−	1.96204i	−0.0350376	−	0.0767217i
$655$	−19.2628	−	45.0541i	−0.752660	−	1.76041i
$656$	2.55801	+	0.751099i	0.0998735	+	0.0293255i
$657$	0.851497	−	0.388866i	0.0332201	−	0.0151711i
$658$	42.1030	+	6.05350i	1.64135	+	0.235990i
$659$	−30.7016	+	35.4316i	−1.19597	+	1.38022i	−0.289913	+	0.957053i	$0.593626\pi$
$659$	−30.7016	+	35.4316i	−1.19597	+	1.38022i	−0.906053	+	0.423165i	$0.860919\pi$
$660$	3.50355	+	13.1054i	0.136376	+	0.510127i
$661$	−16.9223	−	10.8753i	−0.658201	−	0.423000i	0.168453	−	0.985710i	$-0.446123\pi$
$661$	−16.9223	−	10.8753i	−0.658201	−	0.423000i	−0.826655	+	0.562709i	$0.809759\pi$
$662$	8.47258	−	1.21817i	0.329296	−	0.0473456i
$663$	−5.99193	−	9.32362i	−0.232707	−	0.362099i
$664$	−5.71882	−	6.59987i	−0.221933	−	0.256125i
$665$	14.7622	−	21.7843i	0.572455	−	0.844760i
$666$	−8.59678			−0.333119
$667$	2.22012	+	34.9812i	0.0859633	+	1.35448i
$668$			13.4947i			0.522127i
$669$	−35.4558	+	10.4108i	−1.37080	+	0.402504i
$670$	−5.21667	+	30.9143i	−0.201538	+	1.19432i
$671$	−3.49679	+	2.24725i	−0.134992	+	0.0867542i
$672$	9.48292	−	1.36344i	0.365812	−	0.0525958i
$673$	−24.9339	+	38.7979i	−0.961132	+	1.49555i	−0.0951582	+	0.995462i	$0.530336\pi$
$673$	−24.9339	+	38.7979i	−0.961132	+	1.49555i	−0.865974	+	0.500089i	$0.833301\pi$
$674$	9.83970	−	21.5459i	0.379011	−	0.829918i
$675$	11.7861	−	9.24689i	0.453647	−	0.355913i
$676$	−1.72376	+	11.9890i	−0.0662986	+	0.461117i
$677$	18.3180	−	8.36555i	0.704018	−	0.321514i	−0.0310404	−	0.999518i	$-0.509882\pi$
$677$	18.3180	−	8.36555i	0.704018	−	0.321514i	0.735058	+	0.678004i	$0.237155\pi$
$678$	−9.01326	+	30.6964i	−0.346152	+	1.17889i
$679$	21.6780	+	6.36524i	0.831925	+	0.244275i
$680$	1.00829	−	2.07265i	0.0386663	−	0.0794823i
$681$	−3.59799	+	25.0246i	−0.137875	+	0.958943i
$682$	3.95227	+	3.42466i	0.151340	+	0.131137i
$683$	−18.2912	−	8.35330i	−0.699893	−	0.319630i	0.0334969	−	0.999439i	$-0.489336\pi$
$683$	−18.2912	−	8.35330i	−0.699893	−	0.319630i	−0.733390	+	0.679809i	$0.762063\pi$
$684$	−3.55554	−	2.28501i	−0.135950	−	0.0873695i
$685$	−13.6548	−	12.4273i	−0.521724	−	0.474823i
$686$	−22.3035	+	14.3336i	−0.851551	+	0.547259i
$687$	10.7872	−	9.34718i	0.411558	−	0.356617i
$688$	2.97356	+	10.1270i	0.113366	+	0.386088i
$689$	33.7773			1.28681
$690$	17.9634	+	14.3781i	0.683857	+	0.547364i
$691$	0.192592			0.00732653			0.00366326	−	0.999993i	$-0.498834\pi$
$691$	0.192592			0.00732653			0.00366326	+	0.999993i	$0.498834\pi$
$692$	−4.58148	−	15.6031i	−0.174162	−	0.593140i
$693$	−15.3009	+	13.2583i	−0.581234	+	0.503642i
$694$	−11.2275	+	7.21545i	−0.426189	+	0.273895i
$695$	29.4115	−	32.3166i	1.11564	−	1.22584i
$696$	13.1923	+	8.47815i	0.500051	+	0.321363i
$697$	2.49972	+	1.14158i	0.0946836	+	0.0432406i
$698$	−24.2210	−	20.9876i	−0.916779	−	0.794394i
$699$	−5.01454	+	34.8769i	−0.189667	+	1.31917i
$700$	5.23868	+	21.7024i	0.198003	+	0.820275i
$701$	−5.12787	−	1.50568i	−0.193677	−	0.0568687i	0.183455	−	0.983028i	$-0.441272\pi$
$701$	−5.12787	−	1.50568i	−0.193677	−	0.0568687i	−0.377133	+	0.926159i	$0.623090\pi$
$702$	−4.22998	+	14.4060i	−0.159650	+	0.543719i
$703$	12.8525	−	5.86954i	0.484741	−	0.221374i
$704$	0.402399	−	2.79874i	0.0151660	−	0.105482i
$705$	45.6904	+	1.11378i	1.72080	+	0.0419473i
$706$	−6.53710	+	14.3142i	−0.246027	+	0.538724i
$707$	−19.5081	+	30.3552i	−0.733678	+	1.14162i
$708$	18.8047	−	2.70371i	0.706725	−	0.101612i
$709$	−16.4950	+	10.6007i	−0.619482	+	0.398117i	−0.812402	−	0.583098i	$-0.801841\pi$
$709$	−16.4950	+	10.6007i	−0.619482	+	0.398117i	0.192920	+	0.981214i	$0.438204\pi$
$710$	−13.2155	−	2.23006i	−0.495968	−	0.0836928i
$711$	18.1849	−	5.33957i	0.681987	−	0.200249i
$712$		−	1.22671i		−	0.0459727i
$713$	8.84209	+	0.703706i	0.331139	+	0.0263540i
$714$	9.87530			0.369574
$715$	17.7739	−	26.2286i	0.664707	−	0.980895i
$716$	0.747266	+	0.862391i	0.0279266	+	0.0322291i
$717$	−12.3852	−	19.2717i	−0.462532	−	0.719714i
$718$	−6.09714	+	0.876637i	−0.227543	+	0.0327158i
$719$	2.92170	+	1.87767i	0.108961	+	0.0700251i	0.593986	−	0.804475i	$-0.297553\pi$
$719$	2.92170	+	1.87767i	0.108961	+	0.0700251i	−0.485025	+	0.874500i	$0.661190\pi$
$720$	3.46411	−	0.926083i	0.129100	−	0.0345131i
$721$	11.8483	−	13.6737i	0.441256	−	0.509236i
$722$	−11.9308	−	1.71539i	−0.444020	−	0.0638404i
$723$	56.8758	−	25.9743i	2.11523	−	0.965995i
$724$	7.89973	+	2.31957i	0.293591	+	0.0862061i
$725$	−16.7825	+	32.4622i	−0.623285	+	1.20562i
$726$	−2.67849	−	5.86508i	−0.0994082	−	0.217674i
$727$	−8.07215	−	1.16060i	−0.299379	−	0.0430443i	−0.00901164	−	0.999959i	$-0.502869\pi$
$727$	−8.07215	−	1.16060i	−0.299379	−	0.0430443i	−0.290368	+	0.956915i	$0.593778\pi$
$728$	−16.9105	−	14.6531i	−0.626747	−	0.543079i
$729$	−0.524277	+	1.14801i	−0.0194177	+	0.0425188i
$730$	−0.154221	−	1.29614i	−0.00570798	−	0.0479724i
$731$	1.54830	+	10.7686i	0.0572659	+	0.398293i
$732$	1.70528	+	2.65346i	0.0630288	+	0.0980747i
$733$	38.7239	−	33.5545i	1.43030	−	1.23936i	0.503401	−	0.864053i	$-0.332082\pi$
$733$	38.7239	−	33.5545i	1.43030	−	1.23936i	0.926900	−	0.375309i	$-0.122463\pi$
$734$	−8.06609	+	2.36842i	−0.297725	+	0.0874199i
$735$	−47.8866	+	39.4925i	−1.76632	+	1.45670i
$736$	−2.26457	−	4.22750i	−0.0834732	−	0.155828i
$737$			39.6440i			1.46030i
$738$	1.20446	+	4.10203i	0.0443370	+	0.150998i
$739$	−14.9540	−	17.2579i	−0.550093	−	0.634841i	0.410812	−	0.911720i	$-0.365245\pi$
$739$	−14.9540	−	17.2579i	−0.550093	−	0.634841i	−0.960905	+	0.276879i	$0.910700\pi$
$740$	−3.65652	+	11.4161i	−0.134416	+	0.419664i
$741$	4.03297	+	28.0499i	0.148155	+	1.03044i
$742$	−16.2715	+	25.3189i	−0.597344	+	0.929485i
$743$	42.9514	+	19.6153i	1.57574	+	0.719614i	0.995494	−	0.0948296i	$-0.0302306\pi$
$743$	42.9514	+	19.6153i	1.57574	+	0.719614i	0.580242	+	0.814444i	$0.302958\pi$
$744$	2.59872	−	2.99908i	0.0952738	−	0.109952i
$745$	1.01447	−	0.617554i	0.0371672	−	0.0226254i
$746$	8.79861	+	19.2663i	0.322140	+	0.705388i
$747$	3.94541	−	13.4368i	0.144355	−	0.491627i
$748$	0.821124	−	2.79649i	0.0300233	−	0.102250i
$749$	9.18311	+	20.1082i	0.335543	+	0.734738i
$750$	8.34457	+	22.4904i	0.304700	+	0.821234i
$751$	12.3052	−	14.2009i	0.449022	−	0.518199i	−0.485436	−	0.874272i	$-0.661339\pi$
$751$	12.3052	−	14.2009i	0.449022	−	0.518199i	0.934458	+	0.356073i	$0.115885\pi$
$752$	−8.66535	−	3.95733i	−0.315993	−	0.144309i
$753$	−8.26877	+	12.8665i	−0.301331	+	0.468880i
$754$	−5.21239	−	36.2530i	−0.189824	−	1.32026i
$755$	17.9620	+	5.75315i	0.653703	+	0.209378i
$756$	−8.76079	−	10.1105i	−0.318627	−	0.367715i
$757$	−8.67318	−	29.5381i	−0.315232	−	1.07358i	−0.952904	−	0.303274i	$-0.901920\pi$
$757$	−8.67318	−	29.5381i	−0.315232	−	1.07358i	0.637671	−	0.770308i	$-0.279898\pi$
$758$		−	3.13552i		−	0.113887i
$759$	25.4235	+	14.1481i	0.922814	+	0.513543i
$760$	−4.54668	+	3.74968i	−0.164925	+	0.136015i
$761$	8.87635	−	2.60633i	0.321768	−	0.0944795i	−0.116860	−	0.993148i	$-0.537283\pi$
$761$	8.87635	−	2.60633i	0.321768	−	0.0944795i	0.438628	+	0.898669i	$0.355465\pi$
$762$	7.99299	−	6.92597i	0.289556	−	0.250901i
$763$	−2.42682	−	3.77621i	−0.0878568	−	0.136708i
$764$	−2.90118	−	20.1782i	−0.104961	−	0.730020i
$765$	3.67024	−	0.436702i	0.132698	−	0.0157890i
$766$	11.4649	−	25.1046i	0.414242	−	0.907064i
$767$	−33.5338	−	29.0572i	−1.21084	−	1.04920i
$768$	−2.12376	−	0.305351i	−0.0766346	−	0.0110184i
$769$	−2.29563	−	5.02674i	−0.0827827	−	0.181269i	0.863714	−	0.503982i	$-0.168132\pi$
$769$	−2.29563	−	5.02674i	−0.0827827	−	0.181269i	−0.946497	+	0.322713i	$0.895405\pi$
$770$	11.0983	+	25.9581i	0.399956	+	0.935464i
$771$	27.4983	+	8.07422i	0.990325	+	0.290786i
$772$	−22.6310	+	10.3352i	−0.814508	+	0.371973i
$773$	1.82037	+	0.261729i	0.0654741	+	0.00941375i	0.174974	−	0.984573i	$-0.444016\pi$
$773$	1.82037	+	0.261729i	0.0654741	+	0.00941375i	−0.109500	+	0.993987i	$0.534925\pi$
$774$	−11.0837	+	12.7913i	−0.398395	+	0.459773i
$775$	7.52678	+	5.37278i	0.270370	+	0.192996i
$776$	−4.25665	−	2.73558i	−0.152805	−	0.0982017i
$777$	−50.8371	+	7.30928i	−1.82377	+	0.262219i
$778$	9.58947	+	14.9215i	0.343799	+	0.534962i
$779$	−4.60142	−	5.31032i	−0.164863	−	0.190262i
$780$	−19.9030	−	13.4873i	−0.712641	−	0.482924i
$781$	−16.9473			−0.606423
$782$	−1.69036	−	4.64546i	−0.0604471	−	0.166121i
$783$		−	21.8978i		−	0.782565i
$784$	12.4135	−	3.64494i	0.443340	−	0.130176i
$785$	5.90241	+	0.996010i	0.210666	+	0.0355491i
$786$	−39.5531	+	25.4192i	−1.41081	+	0.906673i
$787$	−35.6342	+	5.12343i	−1.27022	+	0.182630i	−0.744267	−	0.667882i	$-0.767201\pi$
$787$	−35.6342	+	5.12343i	−1.27022	+	0.182630i	−0.525955	+	0.850512i	$0.676292\pi$
$788$	−5.62749	+	8.75654i	−0.200471	+	0.311939i
$789$	5.18032	−	11.3433i	0.184424	−	0.403833i
$790$	0.644024	−	26.4197i	0.0229133	−	0.939971i
$791$	−9.47507	+	65.9006i	−0.336895	+	2.34316i
$792$	4.12448	−	1.88359i	0.146557	−	0.0669303i
$793$	2.07547	−	7.06841i	0.0737022	−	0.251007i
$794$	2.11931	+	0.622286i	0.0752115	+	0.0220841i
$795$	−14.1466	+	29.0797i	−0.501729	+	1.03135i
$796$	0.638824	−	4.44312i	0.0226425	−	0.157482i
$797$	−22.1179	−	19.1652i	−0.783455	−	0.678868i	0.168297	−	0.985736i	$-0.446173\pi$
$797$	−22.1179	−	19.1652i	−0.783455	−	0.678868i	−0.951752	+	0.306869i	$0.900719\pi$
$798$	−22.9685	−	10.4894i	−0.813077	−	0.371320i
$799$	−8.26061	−	5.30877i	−0.292240	−	0.187811i
$800$	0.243622	−	4.99406i	0.00861332	−	0.176567i
$801$	1.65487	−	1.06352i	0.0584720	−	0.0375777i
$802$	−9.50608	+	8.23707i	−0.335671	+	0.290861i
$803$	−0.465012	−	1.58369i	−0.0164099	−	0.0558871i
$804$	30.0829			1.06094
$805$	41.2611	+	24.2971i	1.45426	+	0.856359i
$806$	−9.26841			−0.326466
$807$	−1.21383	−	4.13393i	−0.0427289	−	0.145521i
$808$	6.10728	−	5.29199i	0.214853	−	0.186172i
$809$	20.5458	−	13.2040i	0.722352	−	0.464227i	−0.127102	−	0.991890i	$-0.540568\pi$
$809$	20.5458	−	13.2040i	0.722352	−	0.464227i	0.849454	+	0.527662i	$0.176931\pi$
$810$	−18.5866	−	16.9158i	−0.653067	−	0.594360i
$811$	−25.5952	−	16.4490i	−0.898770	−	0.577604i	0.00765559	−	0.999971i	$-0.497563\pi$
$811$	−25.5952	−	16.4490i	−0.898770	−	0.577604i	−0.906425	+	0.422367i	$0.861199\pi$
$812$	29.6856	+	13.5569i	1.04176	+	0.475755i
$813$	−5.08191	−	4.40350i	−0.178230	−	0.154438i
$814$	−2.15723	+	15.0038i	−0.0756108	+	0.525884i
$815$	−16.2245	−	7.89282i	−0.568318	−	0.276473i
$816$	−2.12205	−	0.623091i	−0.0742867	−	0.0218125i
$817$	7.83716	−	26.6909i	0.274187	−	0.933796i
$818$	2.35971	−	1.07764i	0.0825052	−	0.0376789i
$819$	5.10654	−	35.5168i	0.178437	−	1.24106i
$820$	5.95959	+	0.145275i	0.208118	+	0.00507321i
$821$	15.8625	−	34.7339i	0.553604	−	1.21222i	−0.401475	−	0.915870i	$-0.631502\pi$
$821$	15.8625	−	34.7339i	0.553604	−	1.21222i	0.955079	−	0.296353i	$-0.0957704\pi$
$822$	−9.57814	+	14.9039i	−0.334076	+	0.519833i
$823$	14.2177	−	2.04420i	0.495599	−	0.0712563i	0.110016	−	0.993930i	$-0.464910\pi$
$823$	14.2177	−	2.04420i	0.495599	−	0.0712563i	0.385582	+	0.922673i	$0.374001\pi$
$824$	−3.40878	+	2.19069i	−0.118751	+	0.0763164i
$825$	15.1368	+	26.2871i	0.526996	+	0.915199i
$826$	37.9349	−	11.1387i	1.31993	−	0.387565i
$827$		−	17.8418i		−	0.620420i	−0.950668	−	0.310210i	$-0.899601\pi$
$827$		−	17.8418i		−	0.620420i	0.950668	−	0.310210i	$-0.100399\pi$
$828$	3.73972	−	6.72011i	0.129964	−	0.233540i
$829$	32.4568			1.12727			0.563636	−	0.826023i	$-0.309402\pi$
$829$	32.4568			1.12727			0.563636	+	0.826023i	$0.309402\pi$
$830$	−16.1653	−	10.9545i	−0.561105	−	0.380235i
$831$	−23.2775	−	26.8636i	−0.807487	−	0.931889i
$832$	2.70927	+	4.21571i	0.0939270	+	0.146153i
$833$	13.2000	−	1.89788i	0.457354	−	0.0657576i
$834$	−35.2728	−	22.6684i	−1.22140	−	0.784944i
$835$	7.79324	+	29.1514i	0.269696	+	1.00883i
$836$	−4.88020	+	5.63205i	−0.168785	+	0.194789i
$837$	−5.48500	−	0.788624i	−0.189589	−	0.0272588i
$838$	12.6727	−	5.78742i	0.437770	−	0.199923i
$839$	−26.5919	−	7.80808i	−0.918053	−	0.269565i	−0.211626	−	0.977351i	$-0.567876\pi$
$839$	−26.5919	−	7.80808i	−0.918053	−	0.269565i	−0.706427	+	0.707786i	$0.749694\pi$
$840$	19.6977	−	8.42171i	0.679634	−	0.290577i
$841$	10.1436	+	22.2113i	0.349778	+	0.765906i
$842$	−20.4955	−	2.94681i	−0.706321	−	0.101554i
$843$	16.8255	+	14.5794i	0.579502	+	0.502141i
$844$	−8.74027	+	19.1385i	−0.300853	+	0.658775i
$845$	3.20001	+	26.8943i	0.110084	+	0.925191i
$846$	−2.17404	−	15.1208i	−0.0747450	−	0.519863i
$847$	−7.25445	−	11.2881i	−0.249266	−	0.387865i
$848$	5.09400	−	4.41398i	0.174929	−	0.151577i
$849$	−57.5471	+	16.8973i	−1.97501	+	0.579915i
$850$	0.981168	−	5.05963i	0.0336538	−	0.173544i
$851$	12.1402	+	22.6633i	0.416160	+	0.776886i
$852$			12.8601i			0.440579i
$853$	−8.47876	−	28.8760i	−0.290307	−	0.988695i	−0.967496	−	0.252886i	$-0.918620\pi$
$853$	−8.47876	−	28.8760i	−0.290307	−	0.988695i	0.677189	−	0.735809i	$-0.263198\pi$
$854$	4.29855	+	4.96079i	0.147093	+	0.169755i
$855$	−9.00031	−	2.88276i	−0.307804	−	0.0985883i
$856$	−0.704565	−	4.90036i	−0.0240816	−	0.167491i
$857$	14.3908	−	22.3926i	0.491581	−	0.764915i	−0.503498	−	0.863996i	$-0.667954\pi$
$857$	14.3908	−	22.3926i	0.491581	−	0.764915i	0.995079	+	0.0990811i	$0.0315903\pi$
$858$	−27.6544	−	12.6294i	−0.944106	−	0.431159i
$859$	3.18541	−	3.67616i	0.108685	−	0.125429i	−0.698801	−	0.715317i	$-0.746283\pi$
$859$	3.18541	−	3.67616i	0.108685	−	0.125429i	0.807485	+	0.589888i	$0.200828\pi$
$860$	12.2719	+	20.1592i	0.418467	+	0.687422i
$861$	10.6103	+	23.2333i	0.361598	+	0.791789i
$862$	4.96507	−	16.9095i	0.169111	−	0.575939i
$863$	3.99599	−	13.6091i	0.136025	−	0.463259i	−0.863102	−	0.505029i	$-0.831482\pi$
$863$	3.99599	−	13.6091i	0.136025	−	0.463259i	0.999127	+	0.0417706i	$0.0132999\pi$
$864$	1.24463	+	2.72536i	0.0423432	+	0.0927186i
$865$	−18.9077	−	31.0601i	−0.642883	−	1.05607i
$866$	3.47920	−	4.01521i	0.118228	−	0.136442i
$867$	31.1053	+	14.2053i	1.05639	+	0.482438i
$868$	4.46485	−	6.94744i	0.151547	−	0.235812i
$869$	−4.75586	−	33.0777i	−0.161331	−	1.12208i
$870$	33.3941	+	10.6960i	1.13217	+	0.362628i
$871$	−46.0112	−	53.0997i	−1.55903	−	1.79922i
$872$	0.283224	+	0.964571i	0.00959117	+	0.0326645i
$873$		−	8.11406i		−	0.274619i
$874$	−1.00279	+	12.6001i	−0.0339200	+	0.426206i
$875$	23.8498	+	43.8564i	0.806271	+	1.48262i
$876$	−1.20174	+	0.352864i	−0.0406031	+	0.0119222i
$877$	8.21751	−	7.12051i	0.277486	−	0.240443i	−0.504988	−	0.863126i	$-0.668503\pi$
$877$	8.21751	−	7.12051i	0.277486	−	0.240443i	0.782474	+	0.622684i	$0.213958\pi$
$878$	11.4412	+	17.8029i	0.386123	+	0.600819i
$879$	−7.38436	−	51.3594i	−0.249068	−	1.73231i
$880$	−0.747016	−	6.27825i	−0.0251819	−	0.211640i
$881$	4.76686	−	10.4380i	0.160600	−	0.351664i	−0.812176	−	0.583412i	$-0.801717\pi$
$881$	4.76686	−	10.4380i	0.160600	−	0.351664i	0.972776	+	0.231748i	$0.0744445\pi$
$882$	15.6793	+	13.5862i	0.527951	+	0.457472i
$883$	10.2241	+	1.47000i	0.344069	+	0.0494696i	0.312183	−	0.950022i	$-0.398940\pi$
$883$	10.2241	+	1.47000i	0.344069	+	0.0494696i	0.0318854	+	0.999492i	$0.489849\pi$
$884$	2.14581	+	4.69866i	0.0721713	+	0.158033i
$885$	39.0607	−	16.7003i	1.31301	−	0.561376i
$886$	1.11184	+	0.326464i	0.0373529	+	0.0109678i
$887$	−24.7275	+	11.2926i	−0.830267	+	0.379170i	−0.784764	−	0.619794i	$-0.787216\pi$
$887$	−24.7275	+	11.2926i	−0.830267	+	0.379170i	−0.0455022	+	0.998964i	$0.514489\pi$
$888$	11.3853	+	1.63696i	0.382066	+	0.0549328i
$889$	14.4134	−	16.6340i	0.483411	−	0.557886i
$890$	−0.708425	−	2.64994i	−0.0237465	−	0.0888261i
$891$	−26.7345	−	17.1812i	−0.895638	−	0.575592i
$892$	17.0472	−	2.45102i	0.570784	−	0.0820663i
$893$	13.5741	+	21.1217i	0.454240	+	0.706812i
$894$	−0.746280	−	0.861253i	−0.0249593	−	0.0288046i
$895$	2.11228	+	1.43139i	0.0706058	+	0.0478463i
$896$	−4.46515			−0.149170
$897$	−50.4730	+	10.5566i	−1.68524	+	0.352474i
$898$		−	32.2467i		−	1.07609i
$899$	12.9702	−	3.80840i	0.432581	−	0.127017i
$900$	6.94838	−	4.00106i	0.231613	−	0.133369i
$901$	5.84485	−	3.75626i	0.194720	−	0.125139i
$902$	7.46145	−	1.07280i	0.248439	−	0.0357202i
$903$	−54.6680	+	85.0650i	−1.81924	+	2.83079i
$904$	6.19410	−	13.5632i	0.206013	−	0.451105i
$905$	18.4046	+	0.448642i	0.611790	+	0.0149134i
$906$	2.57558	−	17.9136i	0.0855680	−	0.595138i
$907$	22.6354	−	10.3372i	0.751595	−	0.343242i	−0.00250897	−	0.999997i	$-0.500799\pi$
$907$	22.6354	−	10.3372i	0.751595	−	0.343242i	0.754104	+	0.656755i	$0.228071\pi$
$908$	3.31969	−	11.3058i	0.110168	−	0.375197i
$909$	12.4339	+	3.65093i	0.412408	+	0.121094i
$910$	−44.9924	−	21.8878i	−1.49149	−	0.725573i
$911$	2.35106	−	16.3520i	0.0778941	−	0.541766i	−0.913087	−	0.407765i	$-0.866308\pi$
$911$	2.35106	−	16.3520i	0.0778941	−	0.541766i	0.990981	−	0.134001i	$-0.0427825\pi$
$912$	4.27375	+	3.70323i	0.141518	+	0.122626i
$913$	−22.4610	−	10.2576i	−0.743352	−	0.339478i
$914$	−0.157568	−	0.101263i	−0.00521188	−	0.00334947i
$915$	5.21612	+	4.74722i	0.172440	+	0.156938i
$916$	−5.59641	+	3.59660i	−0.184911	+	0.118835i
$917$	−73.9467	+	64.0752i	−2.44193	+	2.11595i
$918$	0.870082	+	2.96323i	0.0287170	+	0.0978011i
$919$	31.9142			1.05275			0.526376	−	0.850252i	$-0.323550\pi$
$919$	31.9142			1.05275			0.526376	+	0.850252i	$0.323550\pi$
$920$	−7.33333	−	7.82447i	−0.241773	−	0.257965i
$921$	3.14135			0.103511
$922$	3.50862	+	11.9493i	0.115550	+	0.393528i
$923$	22.6995	−	19.6692i	0.747163	−	0.647420i
$924$	22.7886	−	14.6454i	0.749691	−	0.481797i
$925$	−1.30603	+	26.7728i	−0.0429422	+	0.880283i
$926$	7.08495	+	4.55322i	0.232826	+	0.149628i
$927$	−5.91065	−	2.69930i	−0.194131	−	0.0886567i
$928$	−5.52359	−	4.78622i	−0.181321	−	0.157115i
$929$	−3.97625	+	27.6554i	−0.130456	+	0.907344i	0.814504	+	0.580158i	$0.197009\pi$
$929$	−3.97625	+	27.6554i	−0.130456	+	0.907344i	−0.944960	+	0.327186i	$0.893900\pi$
$930$	3.88180	−	7.97941i	0.127289	−	0.261655i
$931$	−32.7173	−	9.60666i	−1.07227	−	0.314846i
$932$	4.62668	−	15.7570i	0.151552	−	0.516138i
$933$	−15.8050	+	7.21789i	−0.517432	+	0.236303i
$934$	5.33689	−	37.1189i	0.174628	−	1.21457i
$935$	0.158819	−	6.51520i	0.00519392	−	0.213070i
$936$	−3.33828	+	7.30981i	−0.109115	+	0.238929i
$937$	17.7059	−	27.5510i	0.578428	−	0.900051i	−0.421549	−	0.906805i	$-0.638514\pi$
$937$	17.7059	−	27.5510i	0.578428	−	0.900051i	0.999977	+	0.00675410i	$0.00214991\pi$
$938$	61.9675	−	8.90958i	2.02331	−	0.290908i
$939$	−54.7783	+	35.2038i	−1.78762	+	1.14883i
$940$	−21.0043	−	3.54440i	−0.685085	−	0.115606i
$941$	−20.2255	+	5.93874i	−0.659332	+	0.193597i	−0.594247	−	0.804283i	$-0.702550\pi$
$941$	−20.2255	+	5.93874i	−0.659332	+	0.193597i	−0.0650845	+	0.997880i	$0.520732\pi$
$942$		−	5.74368i		−	0.187139i
$943$	9.11305	−	8.96806i	0.296762	−	0.292040i
$944$	−8.85445			−0.288188
$945$	−24.7639	−	16.7814i	−0.805571	−	0.545898i
$946$	19.5431	+	22.5540i	0.635402	+	0.733294i
$947$	15.8027	+	24.5895i	0.513520	+	0.799052i	0.997088	−	0.0762542i	$-0.0242961\pi$
$947$	15.8027	+	24.5895i	0.513520	+	0.799052i	−0.483569	+	0.875306i	$0.660660\pi$
$948$	−25.1002	+	3.60887i	−0.815218	+	0.117211i
$949$	2.46088	+	1.58151i	0.0798837	+	0.0513381i
$950$	−7.65631	+	10.7258i	−0.248404	+	0.347991i
$951$	38.1142	−	43.9861i	1.23594	−	1.42635i
$952$	−4.55573	−	0.655016i	−0.147652	−	0.0212292i
$953$	−44.5888	+	20.3630i	−1.44437	+	0.659623i	−0.974761	−	0.223251i	$-0.928333\pi$
$953$	−44.5888	+	20.3630i	−1.44437	+	0.659623i	−0.469611	+	0.882873i	$0.655606\pi$
$954$	10.3710	+	3.04520i	0.335773	+	0.0985919i
$955$	−17.9201	−	41.9136i	−0.579880	−	1.35629i
$956$	4.43533	+	9.71202i	0.143449	+	0.314109i
$957$	43.8890	+	6.31028i	1.41873	+	0.203982i
$958$	−1.01366	−	0.878339i	−0.0327498	−	0.0283778i
$959$	−15.3159	+	33.5371i	−0.494576	+	1.08297i
$960$	−4.76410	+	0.566855i	−0.153761	+	0.0182952i
$961$	3.92493	+	27.2985i	0.126611	+	0.880597i
$962$	−14.5242	−	22.6001i	−0.468278	−	0.728655i
$963$	5.99993	−	5.19896i	0.193345	−	0.167534i
$964$	−27.9611	+	8.21012i	−0.900567	+	0.264430i
$965$	−42.9190	+	35.3957i	−1.38161	+	1.13943i
$966$	16.4012	−	42.9191i	0.527700	−	1.38090i
$967$		−	2.87295i		−	0.0923880i	−0.998932	−	0.0461940i	$-0.985291\pi$
$967$		−	2.87295i		−	0.0923880i	0.998932	−	0.0461940i	$-0.0147092\pi$
$968$	0.846635	+	2.88337i	0.0272119	+	0.0926752i
$969$	3.81721	+	4.40529i	0.122626	+	0.141518i
$970$	−10.7751	−	3.45120i	−0.345966	−	0.110811i
$971$	−2.32893	−	16.1980i	−0.0747389	−	0.519820i	−0.992458	−	0.122589i	$-0.960880\pi$
$971$	−2.32893	−	16.1980i	−0.0747389	−	0.519820i	0.917719	−	0.397231i	$-0.130029\pi$
$972$	−8.17808	+	12.7253i	−0.262312	+	0.408166i
$973$	−79.3717	−	36.2478i	−2.54454	−	1.16205i
$974$	−13.8383	+	15.9702i	−0.443407	+	0.511719i
$975$	−50.7835	−	17.6414i	−1.62637	−	0.564977i
$976$	−0.610687	−	1.33722i	−0.0195476	−	0.0428033i
$977$	−1.95835	+	6.66952i	−0.0626531	+	0.213377i	−0.984870	−	0.173297i	$-0.944558\pi$
$977$	−1.95835	+	6.66952i	−0.0626531	+	0.213377i	0.922216	+	0.386674i	$0.126376\pi$
$978$	−4.87749	+	16.6112i	−0.155965	+	0.531167i
$979$	−1.44088	−	3.15510i	−0.0460509	−	0.100837i
$980$	24.7108	−	15.0426i	0.789358	−	0.480520i
$981$	−1.05569	+	1.21834i	−0.0337057	+	0.0388985i
$982$	11.8505	+	5.41192i	0.378163	+	0.172701i
$983$	−10.7818	+	16.7768i	−0.343885	+	0.535096i	−0.969517	−	0.245022i	$-0.921205\pi$
$983$	−10.7818	+	16.7768i	−0.343885	+	0.535096i	0.625632	+	0.780118i	$0.284841\pi$
$984$	−0.814065	−	5.66195i	−0.0259515	−	0.180496i
$985$	−7.09962	+	22.1658i	−0.226213	+	0.706262i
$986$	−4.93353	−	5.69359i	−0.157116	−	0.181321i
$987$	−25.7124	−	87.5683i	−0.818434	−	2.78733i
$988$		−	13.2077i		−	0.420192i
$989$	49.3731	+	11.1558i	1.56997	+	0.354735i
$990$	7.82195	−	6.45083i	0.248598	−	0.205021i
$991$	2.01997	−	0.593117i	0.0641664	−	0.0188410i	−0.249492	−	0.968377i	$-0.580264\pi$
$991$	2.01997	−	0.593117i	0.0641664	−	0.0188410i	0.313658	+	0.949536i	$0.398445\pi$
$992$	−1.39778	+	1.21119i	−0.0443797	+	0.0384552i
$993$	−9.92925	−	15.4502i	−0.315095	−	0.490298i
$994$	3.80874	+	26.4904i	0.120806	+	0.840223i
$995$	−1.18592	−	9.96697i	−0.0375961	−	0.315974i
$996$	−7.78375	+	17.0440i	−0.246638	+	0.540061i
$997$	−4.56466	−	3.95530i	−0.144564	−	0.125266i	0.579577	−	0.814918i	$-0.303218\pi$
$997$	−4.56466	−	3.95530i	−0.144564	−	0.125266i	−0.724141	+	0.689652i	$0.757763\pi$
$998$	9.17993	+	1.31988i	0.290586	+	0.0417799i
$999$	−6.67236	−	14.6104i	−0.211104	−	0.462253i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.j.a.9.11	yes	120
5.4	even	2	inner	230.2.j.a.9.2	✓	120
23.18	even	11	inner	230.2.j.a.179.2	yes	120
115.64	even	22	inner	230.2.j.a.179.11	yes	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.j.a.9.2	✓	120	5.4	even	2	inner
230.2.j.a.9.11	yes	120	1.1	even	1	trivial
230.2.j.a.179.2	yes	120	23.18	even	11	inner
230.2.j.a.179.11	yes	120	115.64	even	22	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.281733 + 0.959493i) q^{2} +(1.62154 - 1.40507i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(-1.50506 + 1.65372i) q^{5} +(1.80499 + 1.16000i) q^{6} +(4.06165 + 1.85489i) q^{7} +(-0.755750 - 0.654861i) q^{8} +(0.228216 - 1.58728i) q^{9} +O(q^{10})\)	\(q+(0.281733 + 0.959493i) q^{2} +(1.62154 - 1.40507i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(-1.50506 + 1.65372i) q^{5} +(1.80499 + 1.16000i) q^{6} +(4.06165 + 1.85489i) q^{7} +(-0.755750 - 0.654861i) q^{8} +(0.228216 - 1.58728i) q^{9} +(-2.01076 - 0.978188i) q^{10} +(-2.71299 - 0.796606i) q^{11} +(-0.604486 + 2.05869i) q^{12} +(4.55837 - 2.08174i) q^{13} +(-0.635457 + 4.41970i) q^{14} +(-0.116917 + 4.79628i) q^{15} +(0.415415 - 0.909632i) q^{16} +(0.557281 - 0.867146i) q^{17} +(1.58728 - 0.228216i) q^{18} +(-2.21722 + 1.42492i) q^{19} +(0.372068 - 2.20490i) q^{20} +(9.19236 - 2.69912i) q^{21} -2.82752i q^{22} +(-2.84316 - 3.86218i) q^{23} -2.14560 q^{24} +(-0.469587 - 4.97790i) q^{25} +(3.28165 + 3.78723i) q^{26} +(1.61982 + 2.52049i) q^{27} +(-4.41970 + 0.635457i) q^{28} +(-6.14851 - 3.95141i) q^{29} +(-4.63494 + 1.23909i) q^{30} +(-1.21119 + 1.39778i) q^{31} +(0.989821 + 0.142315i) q^{32} +(-5.51850 + 2.52021i) q^{33} +(0.989025 + 0.290404i) q^{34} +(-9.18049 + 3.92511i) q^{35} +(0.666161 + 1.45869i) q^{36} +(-5.30635 - 0.762938i) q^{37} +(-1.99187 - 1.72596i) q^{38} +(4.46657 - 9.78043i) q^{39} +(2.22041 - 0.264194i) q^{40} +(0.379411 + 2.63886i) q^{41} +(5.17957 + 8.05957i) q^{42} +(-7.97658 + 6.91175i) q^{43} +(2.71299 - 0.796606i) q^{44} +(2.28144 + 2.76636i) q^{45} +(2.90473 - 3.81609i) q^{46} -9.52621i q^{47} +(-0.604486 - 2.05869i) q^{48} +(8.47232 + 9.77757i) q^{49} +(4.64396 - 1.85300i) q^{50} +(-0.314749 - 2.18913i) q^{51} +(-2.70927 + 4.21571i) q^{52} +(6.13122 + 2.80004i) q^{53} +(-1.96204 + 2.26431i) q^{54} +(5.40058 - 3.28759i) q^{55} +(-1.85489 - 4.06165i) q^{56} +(-1.59319 + 5.42592i) q^{57} +(2.05911 - 7.01270i) q^{58} +(-3.67827 - 8.05429i) q^{59} +(-2.49471 - 4.09810i) q^{60} +(0.962688 - 1.11100i) q^{61} +(-1.68239 - 0.768323i) q^{62} +(3.87117 - 6.02365i) q^{63} +(0.142315 + 0.989821i) q^{64} +(-3.41800 + 10.6714i) q^{65} +(-3.97287 - 4.58494i) q^{66} +(-3.95010 - 13.4528i) q^{67} +1.03078i q^{68} +(-10.0369 - 2.26784i) q^{69} +(-6.35256 - 7.70279i) q^{70} +(5.75091 - 1.68862i) q^{71} +(-1.21192 + 1.05014i) q^{72} +(0.315595 + 0.491075i) q^{73} +(-0.762938 - 5.30635i) q^{74} +(-7.75575 - 7.41205i) q^{75} +(1.09488 - 2.39744i) q^{76} +(-9.54159 - 8.26783i) q^{77} +(10.6426 + 1.53018i) q^{78} +(4.90969 + 10.7507i) q^{79} +(0.879053 + 2.05603i) q^{80} +(10.7840 + 3.16647i) q^{81} +(-2.42508 + 1.10750i) q^{82} +(8.64400 + 1.24282i) q^{83} +(-6.27385 + 7.24041i) q^{84} +(0.595276 + 2.22669i) q^{85} +(-8.87904 - 5.70621i) q^{86} +(-15.5221 + 2.23173i) q^{87} +(1.52868 + 2.37867i) q^{88} +(0.803321 + 0.927082i) q^{89} +(-2.01155 + 2.96840i) q^{90} +22.3759 q^{91} +(4.47987 + 1.71195i) q^{92} +3.96836i q^{93} +(9.14033 - 2.68384i) q^{94} +(0.980629 - 5.81126i) q^{95} +(1.80499 - 1.16000i) q^{96} +(5.00839 - 0.720098i) q^{97} +(-6.99459 + 10.8838i) q^{98} +(-1.88359 + 4.12448i) 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

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