LMFDB - Embedded newform 230.2.j.a.179.2

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			179.2
Character	$\chi$	$=$	230.179
Dual form			230.2.j.a.9.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.281733 + 0.959493i) q^{2} +(-1.62154 - 1.40507i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(1.91000 - 1.16271i) q^{5} +(1.80499 - 1.16000i) q^{6} +(-4.06165 + 1.85489i) q^{7} +(0.755750 - 0.654861i) q^{8} +(0.228216 + 1.58728i) q^{9} +O(q^{10})$	\(q+(-0.281733 + 0.959493i) q^{2} +(-1.62154 - 1.40507i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(1.91000 - 1.16271i) 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} +(0.577502 + 2.16021i) 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} +(-4.73083 - 0.798310i) 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} +(-2.23540 - 0.0544916i) q^{20} +(9.19236 + 2.69912i) q^{21} -2.82752i q^{22} +(2.84316 - 3.86218i) q^{23} -2.14560 q^{24} +(2.29621 - 4.44155i) 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} +(2.09880 - 4.31428i) 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} +(-5.60105 + 8.26536i) 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} +(0.682070 - 2.12950i) 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} +(3.61472 + 3.45453i) 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} +(-4.25560 + 4.67594i) 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} +(3.54823 + 3.22926i) 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} +(-11.1269 + 1.32394i) 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} +(-9.96409 + 3.97580i) 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} +(1.85108 + 1.25439i) 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} +(-2.07265 - 1.00829i) 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} +(-3.29706 + 1.40965i) q^{90} +22.3759 q^{91} +(-4.47987 + 1.71195i) q^{92} +3.96836i q^{93} +(9.14033 + 2.68384i) q^{94} +(-5.89167 - 0.143619i) 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 $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{6}{11}\right)$

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	$-0.485344\pi$
$3$	−1.62154	−	1.40507i	−0.936195	−	0.811217i	−0.982222	+	0.187723i	$0.939889\pi$
$4$	−0.841254	−	0.540641i	−0.420627	−	0.270320i
$5$	1.91000	−	1.16271i	0.854179	−	0.519979i
$5$	1.91000	−	1.16271i	0.854179	−	0.519979i
$6$	1.80499	−	1.16000i	0.736886	−	0.473568i
$7$	−4.06165	+	1.85489i	−1.53516	+	0.701083i	−0.990492	−	0.137570i	$-0.956071\pi$
$7$	−4.06165	+	1.85489i	−1.53516	+	0.701083i	−0.544666	+	0.838653i	$0.683343\pi$
$8$	0.755750	−	0.654861i	0.267198	−	0.231528i
$9$	0.228216	+	1.58728i	0.0760722	+	0.529093i
$10$	0.577502	+	2.16021i	0.182622	+	0.683117i
$11$	−2.71299	+	0.796606i	−0.817997	+	0.240186i	−0.663853	−	0.747863i	$-0.731080\pi$
$11$	−2.71299	+	0.796606i	−0.817997	+	0.240186i	−0.154144	+	0.988048i	$0.549262\pi$
$12$	0.604486	+	2.05869i	0.174500	+	0.594292i
$13$	−4.55837	−	2.08174i	−1.26426	−	0.577370i	−0.333417	−	0.942780i	$-0.608202\pi$
$13$	−4.55837	−	2.08174i	−1.26426	−	0.577370i	−0.930847	+	0.365410i	$0.880929\pi$
$14$	−0.635457	−	4.41970i	−0.169833	−	1.18122i
$15$	−4.73083	−	0.798310i	−1.22149	−	0.206123i
$16$	0.415415	+	0.909632i	0.103854	+	0.227408i
$17$	−0.557281	−	0.867146i	−0.135160	−	0.210314i	0.767075	−	0.641557i	$-0.221711\pi$
$17$	−0.557281	−	0.867146i	−0.135160	−	0.210314i	−0.902236	+	0.431244i	$0.858075\pi$
$18$	−1.58728	−	0.228216i	−0.374126	−	0.0537911i
$19$	−2.21722	−	1.42492i	−0.508666	−	0.326900i	0.261008	−	0.965337i	$-0.415945\pi$
$19$	−2.21722	−	1.42492i	−0.508666	−	0.326900i	−0.769674	+	0.638437i	$0.779581\pi$
$20$	−2.23540	−	0.0544916i	−0.499852	−	0.0121847i
$21$	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
$25$	2.29621	−	4.44155i	0.459243	−	0.888311i
$26$	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	−0.967980	−	0.251028i	$-0.919231\pi$
$29$	−6.14851	+	3.95141i	−1.14175	+	0.733758i	−0.173771	+	0.984786i	$0.555595\pi$
$30$	2.09880	−	4.31428i	0.383187	−	0.787677i
$31$	−1.21119	−	1.39778i	−0.217535	−	0.251049i	0.636485	−	0.771289i	$-0.280388\pi$
$31$	−1.21119	−	1.39778i	−0.217535	−	0.251049i	−0.854020	+	0.520240i	$0.825842\pi$
$32$	−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
$35$	−5.60105	+	8.26536i	−0.946750	+	1.39710i
$36$	0.666161	−	1.45869i	0.111027	−	0.243115i
$37$	5.30635	−	0.762938i	0.872359	−	0.125426i	0.308427	−	0.951248i	$-0.400197\pi$
$37$	5.30635	−	0.762938i	0.872359	−	0.125426i	0.563931	+	0.825822i	$0.309288\pi$
$38$	1.99187	−	1.72596i	0.323123	−	0.279988i
$39$	4.46657	+	9.78043i	0.715224	+	1.56612i
$40$	0.682070	−	2.12950i	0.107845	−	0.336704i
$41$	0.379411	−	2.63886i	0.0592541	−	0.412121i	−0.938508	−	0.345257i	$-0.887792\pi$
$41$	0.379411	−	2.63886i	0.0592541	−	0.412121i	0.997762	−	0.0668639i	$-0.0212993\pi$
$42$	−5.17957	+	8.05957i	−0.799226	+	1.24362i
$43$	7.97658	+	6.91175i	1.21642	+	1.05403i	0.996920	+	0.0784189i	$0.0249872\pi$
$43$	7.97658	+	6.91175i	1.21642	+	1.05403i	0.219497	+	0.975613i	$0.429558\pi$
$44$	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
$50$	3.61472	+	3.45453i	0.511199	+	0.488545i
$51$	−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	$-0.789565\pi$
$53$	−6.13122	+	2.80004i	−0.842188	+	0.384614i	−0.0528720	+	0.998601i	$0.516838\pi$
$54$	−1.96204	−	2.26431i	−0.266999	−	0.308134i
$55$	−4.25560	+	4.67594i	−0.573824	+	0.630503i
$56$	−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	0.503903	+	0.863760i	$0.331897\pi$
$59$	−3.67827	+	8.05429i	−0.478870	+	1.04858i	−0.982773	+	0.184819i	$0.940830\pi$
$60$	3.54823	+	3.22926i	0.458074	+	0.416895i
$61$	0.962688	+	1.11100i	0.123260	+	0.142249i	0.814025	−	0.580830i	$-0.197272\pi$
$61$	0.962688	+	1.11100i	0.123260	+	0.142249i	−0.690766	+	0.723079i	$0.742726\pi$
$62$	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
$65$	−11.1269	+	1.32394i	−1.38013	+	0.164214i
$66$	−3.97287	+	4.58494i	−0.489026	+	0.564367i
$67$	3.95010	−	13.4528i	0.482581	−	1.64352i	−0.254024	−	0.967198i	$-0.581754\pi$
$67$	3.95010	−	13.4528i	0.482581	−	1.64352i	0.736605	−	0.676323i	$-0.236428\pi$
$68$			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	0.604565	−	0.796556i	$-0.293347\pi$
$71$	5.75091	+	1.68862i	0.682507	+	0.200402i	0.0779421	+	0.996958i	$0.475165\pi$
$72$	1.21192	+	1.05014i	0.142826	+	0.123760i
$73$	−0.315595	+	0.491075i	−0.0369376	+	0.0574760i	−0.859231	−	0.511587i	$-0.829058\pi$
$73$	−0.315595	+	0.491075i	−0.0369376	+	0.0574760i	0.822294	+	0.569063i	$0.192694\pi$
$74$	−0.762938	+	5.30635i	−0.0886898	+	0.616851i
$75$	−9.96409	+	3.97580i	−1.15055	+	0.459086i
$76$	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	−0.403276	−	0.915078i	$-0.632129\pi$
$79$	4.90969	−	10.7507i	0.552384	−	1.20955i	0.955660	−	0.294473i	$-0.0951441\pi$
$80$	1.85108	+	1.25439i	0.206957	+	0.140245i
$81$	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	$-0.704556\pi$
$83$	−8.64400	+	1.24282i	−0.948802	+	0.136417i	−0.349497	+	0.936938i	$0.613647\pi$
$84$	−6.27385	−	7.24041i	−0.684533	−	0.789993i
$85$	−2.07265	−	1.00829i	−0.224810	−	0.109365i
$86$	−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	−0.711575	−	0.702610i	$-0.752018\pi$
$89$	0.803321	−	0.927082i	0.0851519	−	0.0982705i	0.796727	+	0.604340i	$0.206563\pi$
$90$	−3.29706	+	1.40965i	−0.347540	+	0.148590i
$91$	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
$95$	−5.89167	−	0.143619i	−0.604473	−	0.0147350i
$96$	1.80499	+	1.16000i	0.184221	+	0.118392i
$97$	−5.00839	−	0.720098i	−0.508525	−	0.0731148i	−0.116723	−	0.993164i	$-0.537239\pi$
$97$	−5.00839	−	0.720098i	−0.508525	−	0.0731148i	−0.391802	+	0.920050i	$0.628148\pi$
$98$	6.99459	+	10.8838i	0.706560	+	1.09943i
$99$	−1.88359	−	4.12448i	−0.189308	−	0.414526i
$100$	−4.33298	+	2.49505i	−0.433298	+	0.249505i
$101$	−1.15006	−	7.99884i	−0.114435	−	0.795914i	−0.963516	−	0.267651i	$-0.913753\pi$
$101$	−1.15006	−	7.99884i	−0.114435	−	0.795914i	0.849081	−	0.528263i	$-0.177156\pi$
$102$	−2.01178	−	0.918748i	−0.199196	−	0.0909696i
$103$	−1.14159	−	3.88789i	−0.112484	−	0.383086i	0.883938	−	0.467604i	$-0.154883\pi$
$103$	−1.14159	−	3.88789i	−0.112484	−	0.383086i	−0.996422	+	0.0845189i	$0.973065\pi$
$104$	−4.80823	+	1.41182i	−0.471486	+	0.138441i
$105$	20.6957	−	5.53272i	2.01969	−	0.539938i
$106$	−0.959249	−	6.67173i	−0.0931705	−	0.648015i
$107$	−3.74153	+	3.24205i	−0.361707	+	0.313421i	−0.816687	−	0.577081i	$-0.804192\pi$
$107$	−3.74153	+	3.24205i	−0.361707	+	0.313421i	0.454980	+	0.890502i	$0.349646\pi$
$108$	2.72536	−	1.24463i	0.262248	−	0.119765i
$109$	−0.845706	+	0.543502i	−0.0810040	+	0.0520581i	−0.580516	−	0.814249i	$-0.697149\pi$
$109$	−0.845706	+	0.543502i	−0.0810040	+	0.0520581i	0.499512	+	0.866307i	$0.333513\pi$
$110$	−3.28759	−	5.40058i	−0.313459	−	0.514925i
$111$	−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	0.486365	+	0.873756i	$0.338322\pi$
$113$	−4.20081	+	14.3067i	−0.395179	+	1.34586i	−0.881545	+	0.472101i	$0.843496\pi$
$114$	−5.65498			−0.529638
$115$	0.939838	−	10.6825i	0.0876403	−	0.996152i
$116$	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
$120$	−4.09810	+	2.49471i	−0.374104	+	0.227735i
$121$	−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
$125$	−0.778463	−	11.1532i	−0.0696279	−	0.997573i
$126$	6.87029	−	2.01730i	0.612054	−	0.179715i
$127$	−1.38874	−	4.72960i	−0.123230	−	0.419684i	0.874650	−	0.484754i	$-0.161091\pi$
$127$	−1.38874	−	4.72960i	−0.123230	−	0.419684i	−0.997881	+	0.0650704i	$0.979273\pi$
$128$	0.909632	+	0.415415i	0.0804009	+	0.0367178i
$129$	−3.22284	−	22.4153i	−0.283755	−	1.97356i
$130$	1.86452	−	11.0492i	0.163529	−	0.969081i
$131$	−9.10304	−	19.9329i	−0.795337	−	1.74154i	−0.660701	−	0.750649i	$-0.729741\pi$
$131$	−9.10304	−	19.9329i	−0.795337	−	1.74154i	−0.134635	−	0.990895i	$-0.542986\pi$
$132$	−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
$135$	−0.163263	+	6.69752i	−0.0140514	+	0.576431i
$136$	−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	$0.810950\pi$
$140$	9.18049	−	3.92511i	0.775893	−	0.331732i
$141$	−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
$145$	−7.14933	+	14.6961i	−0.593720	+	1.22045i
$146$	−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	−0.302541	−	0.953136i	$-0.597835\pi$
$149$	−0.509619	+	0.149638i	−0.0417496	+	0.0122588i	0.260791	+	0.965395i	$0.416017\pi$
$150$	−1.00755	−	10.6806i	−0.0822658	−	0.872066i
$151$	−3.50395	+	7.67259i	−0.285148	+	0.624386i	−0.996954	−	0.0779893i	$-0.975150\pi$
$151$	−3.50395	+	7.67259i	−0.285148	+	0.624386i	0.711807	+	0.702376i	$0.247877\pi$
$152$	−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
$155$	−3.93858	−	1.26151i	−0.316355	−	0.101327i
$156$	1.53018	−	10.6426i	0.122512	−	0.852093i
$157$	1.44727	−	2.25200i	0.115505	−	0.179729i	−0.778688	−	0.627412i	$-0.784114\pi$
$157$	1.44727	−	2.25200i	0.115505	−	0.179729i	0.894192	+	0.447683i	$0.147751\pi$
$158$	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	0.821301	+	0.570496i	$0.193249\pi$
$163$	−2.27325	+	7.74198i	−0.178055	+	0.606399i	−0.999355	+	0.0359028i	$0.988569\pi$
$164$	−1.74586	+	2.01483i	−0.136329	+	0.157332i
$165$	13.4706	−	1.60280i	1.04869	−	0.124778i
$166$	1.24282	−	8.64400i	0.0964615	−	0.670904i
$167$	−7.29581	−	11.3525i	−0.564567	−	0.878483i	0.435195	−	0.900336i	$-0.356680\pi$
$167$	−7.29581	−	11.3525i	−0.564567	−	0.878483i	−0.999761	+	0.0218536i	$0.993043\pi$
$168$	8.71467	−	3.97986i	0.672351	−	0.307053i
$169$	7.93189	+	9.15389i	0.610145	+	0.704145i
$170$	1.55138	−	1.70462i	0.118986	−	0.130738i
$171$	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	0.928358	+	0.371688i	$0.121221\pi$
$173$	4.58148	+	15.6031i	0.348323	+	1.18628i	−0.580034	+	0.814592i	$0.696961\pi$
$174$	−6.51440	+	14.2645i	−0.493855	+	1.08139i
$175$	−1.08781	+	22.2992i	−0.0822305	+	1.68566i
$176$	−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	−0.994990	−	0.0999743i	$-0.968124\pi$
$179$	−0.162396	+	1.12949i	−0.0121381	+	0.0844222i	0.982852	+	0.184396i	$0.0590330\pi$
$180$	−0.423663	−	3.56065i	−0.0315779	−	0.265395i
$181$	−5.39162	+	6.22226i	−0.400756	+	0.462497i	−0.919879	−	0.392203i	$-0.871713\pi$
$181$	−5.39162	+	6.22226i	−0.400756	+	0.462497i	0.519123	+	0.854700i	$0.326259\pi$
$182$	−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
$190$	1.79768	−	5.61255i	0.130417	−	0.407177i
$191$	−8.46851	−	18.5434i	−0.612760	−	1.34176i	−0.920670	−	0.390341i	$-0.872357\pi$
$191$	−8.46851	−	18.5434i	−0.612760	−	1.34176i	0.307911	−	0.951415i	$-0.400370\pi$
$192$	−1.62154	+	1.40507i	−0.117024	+	0.101402i
$193$	−24.6261	+	3.54069i	−1.77262	+	0.254865i	−0.949672	−	0.313247i	$-0.898583\pi$
$193$	−24.6261	+	3.54069i	−1.77262	+	0.254865i	−0.822952	+	0.568112i	$0.807674\pi$
$194$	2.10195	−	4.60264i	0.150912	−	0.330450i
$195$	19.9030	+	13.4873i	1.42528	+	0.965847i
$196$	−12.4135	+	3.64494i	−0.886680	+	0.260353i
$197$	−9.46829	−	4.32402i	−0.674588	−	0.308074i	0.0485069	−	0.998823i	$-0.484554\pi$
$197$	−9.46829	−	4.32402i	−0.674588	−	0.308074i	−0.723095	+	0.690749i	$0.757281\pi$
$198$	4.48807	−	0.645288i	0.318954	−	0.0458586i
$199$	−2.93954	−	3.39241i	−0.208379	−	0.240482i	0.641934	−	0.766760i	$-0.278132\pi$
$199$	−2.93954	−	3.39241i	−0.208379	−	0.240482i	−0.850312	+	0.526278i	$0.823587\pi$
$200$	−1.17324	−	4.86040i	−0.0829604	−	0.343682i
$201$	−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
$205$	−2.34356	−	5.48138i	−0.163681	−	0.382836i
$206$	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
$210$	−0.522053	+	21.4161i	−0.0360251	+	1.47785i
$211$	17.6999	+	11.3750i	1.21851	+	0.783088i	0.982062	−	0.188557i	$-0.0603810\pi$
$211$	17.6999	+	11.3750i	1.21851	+	0.783088i	0.236446	+	0.971645i	$0.424017\pi$
$212$	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
$215$	23.2716	+	3.92701i	1.58711	+	0.267820i
$216$	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
$220$	6.10804	−	1.63290i	0.411804	−	0.110090i
$221$	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	$-0.440722\pi$
$223$	15.6662	−	7.15450i	1.04908	−	0.479101i	0.863932	+	0.503609i	$0.167995\pi$
$224$	3.75632	−	2.41404i	0.250980	−	0.161295i
$225$	7.57403	+	2.63110i	0.504935	+	0.175407i
$226$	−12.5436	−	8.06130i	−0.834390	−	0.536230i
$227$	8.90509	+	7.71631i	0.591052	+	0.512149i	0.898243	−	0.439498i	$-0.144844\pi$
$227$	8.90509	+	7.71631i	0.591052	+	0.512149i	−0.307192	+	0.951648i	$0.599389\pi$
$228$	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	$0.429458\pi$
$230$	9.98504	+	3.91139i	0.658394	+	0.257909i
$231$	−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	$-0.0919345\pi$
$233$	12.4111	+	10.7543i	0.813078	+	0.704536i	−0.145503	+	0.989358i	$0.546480\pi$
$234$	6.76032	+	4.34459i	0.441936	+	0.284015i
$235$	−11.0762	−	18.1951i	−0.722533	−	1.18692i
$236$	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	0.978078	+	0.208239i	$0.0667732\pi$
$239$	1.51948	+	10.5682i	0.0982868	+	0.683600i	−0.879791	+	0.475360i	$0.842318\pi$
$240$	−1.23909	−	4.63494i	−0.0799828	−	0.299184i
$241$	27.9611	−	8.21012i	1.80113	−	0.528861i	0.803357	−	0.595498i	$-0.203045\pi$
$241$	27.9611	−	8.21012i	1.80113	−	0.528861i	0.997777	+	0.0666376i	$0.0212271\pi$
$242$	−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
$245$	4.81366	−	28.5260i	0.307534	−	1.82246i
$246$	−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
$250$	10.9207	+	2.39529i	0.690688	+	0.151492i
$251$	−6.83951	−	2.00826i	−0.431706	−	0.126760i	0.0586578	−	0.998278i	$-0.481318\pi$
$251$	−6.83951	−	2.00826i	−0.431706	−	0.126760i	−0.490364	+	0.871518i	$0.663136\pi$
$252$			7.16033i			0.451058i
$253$	−4.63682	+	12.7429i	−0.291514	+	0.801142i
$254$	4.92927			0.309290
$255$	1.94415	+	4.54720i	0.121747	+	0.284757i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	−7.22143	+	11.2368i	−0.450460	+	0.700930i	−0.990006	−	0.141026i	$-0.954960\pi$
$257$	−7.22143	+	11.2368i	−0.450460	+	0.700930i	0.539545	+	0.841956i	$0.318596\pi$
$258$	22.4153	+	3.22284i	1.39552	+	0.200645i
$259$	−20.1373	+	12.9415i	−1.25127	+	0.804145i
$260$	10.0764	+	4.90191i	0.624909	+	0.304004i
$261$	−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	$-0.420985\pi$
$263$	−5.28678	−	2.41439i	−0.325997	−	0.148878i	−0.571690	+	0.820470i	$0.693712\pi$
$264$	5.82099	−	1.70920i	0.358257	−	0.105194i
$265$	−8.45502	+	12.4769i	−0.519388	+	0.766450i
$266$	−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	0.933356	−	0.358952i	$-0.116866\pi$
$269$	0.834171	+	1.82658i	0.0508603	+	0.111368i	−0.882496	+	0.470320i	$0.844138\pi$
$270$	−6.38023	−	2.04356i	−0.388288	−	0.124367i
$271$	−0.446016	+	3.10211i	−0.0270935	+	0.188440i	−0.998874	−	0.0474487i	$-0.984891\pi$
$271$	−0.446016	+	3.10211i	−0.0270935	+	0.188440i	0.971780	+	0.235889i	$0.0758000\pi$
$272$	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
$280$	1.17967	+	9.91445i	0.0704986	+	0.592502i
$281$	1.47670	−	10.2707i	0.0880924	−	0.612696i	−0.897175	−	0.441675i	$-0.854384\pi$
$281$	1.47670	−	10.2707i	0.0880924	−	0.612696i	0.985267	−	0.171021i	$-0.0547066\pi$
$282$	−11.0504	−	17.1948i	−0.658042	−	1.02393i
$283$	25.4272	−	11.6122i	1.51149	−	0.690274i	0.524551	−	0.851379i	$-0.324233\pi$
$283$	25.4272	−	11.6122i	1.51149	−	0.690274i	0.986937	+	0.161105i	$0.0515058\pi$
$284$	−3.92504	−	4.52973i	−0.232908	−	0.268790i
$285$	9.35176	+	8.51109i	0.553951	+	0.504153i
$286$	−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
$290$	−12.0866	−	11.0001i	−0.709752	−	0.645949i
$291$	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	−0.977359	−	0.211588i	$-0.932137\pi$
$293$	−13.0744	−	20.3442i	−0.763816	−	1.18852i	0.213543	−	0.976934i	$-0.431500\pi$
$294$	3.95050	−	27.4763i	0.230398	−	1.60245i
$295$	2.33929	+	19.6605i	0.136199	+	1.14468i
$296$	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
$305$	3.13051	+	1.00269i	0.179252	+	0.0574138i
$306$	0.686664	+	1.50358i	0.0392540	+	0.0859542i
$307$	−1.10648	+	0.958774i	−0.0631504	+	0.0547201i	−0.685864	−	0.727730i	$-0.740576\pi$
$307$	−1.10648	+	0.958774i	−0.0631504	+	0.0547201i	0.622714	+	0.782450i	$0.286030\pi$
$308$	−12.4968	+	1.79677i	−0.712072	+	0.102381i
$309$	−3.61163	+	7.90837i	−0.205459	+	0.449892i
$310$	2.32004	−	3.42363i	0.131769	−	0.194449i
$311$	−7.77000	+	2.28148i	−0.440596	+	0.129371i	−0.494504	−	0.869175i	$-0.664650\pi$
$311$	−7.77000	+	2.28148i	−0.440596	+	0.129371i	0.0539080	+	0.998546i	$0.482832\pi$
$312$	9.78043	+	4.46657i	0.553708	+	0.252870i
$313$	30.0393	−	4.31899i	1.69792	−	0.244124i	0.775786	−	0.630996i	$-0.217354\pi$
$313$	30.0393	−	4.31899i	1.69792	−	0.244124i	0.922133	+	0.386872i	$0.126445\pi$
$314$	1.75303	+	2.02311i	0.0989294	+	0.114171i
$315$	−14.3977	−	7.00415i	−0.811218	−	0.394639i
$316$	−9.94258	+	6.38971i	−0.559314	+	0.359449i
$317$	−26.8501	−	3.86046i	−1.50805	−	0.216825i	−0.661828	−	0.749656i	$-0.730219\pi$
$317$	−26.8501	−	3.86046i	−1.50805	−	0.216825i	−0.846222	+	0.532831i	$0.821128\pi$
$318$	−7.81878	+	12.1663i	−0.438456	+	0.682250i
$319$	13.5331	−	15.6181i	0.757711	−	0.874445i
$320$	−0.879053	−	2.05603i	−0.0491406	−	0.114936i
$321$	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
$325$	−19.7131	+	15.4661i	−1.09349	+	0.857906i
$326$	−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
$330$	−2.25724	+	13.3765i	−0.124257	+	0.736354i
$331$	1.21817	+	8.47258i	0.0669569	+	0.465695i	0.995522	+	0.0945265i	$0.0301337\pi$
$331$	1.21817	+	8.47258i	0.0669569	+	0.465695i	−0.928565	+	0.371169i	$0.878957\pi$
$332$	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
$335$	−8.09700	−	30.2877i	−0.442386	−	1.65479i
$336$	1.36344	+	9.48292i	0.0743816	+	0.517336i
$337$	17.9010	−	15.5113i	0.975130	−	0.844955i	−0.0127901	−	0.999918i	$-0.504071\pi$
$337$	17.9010	−	15.5113i	0.975130	−	0.844955i	0.987920	+	0.154963i	$0.0495259\pi$
$338$	−11.0178	+	5.03164i	−0.599287	+	0.273685i
$339$	26.9136	−	17.2963i	1.46175	−	0.939408i
$340$	1.19850	+	1.96879i	0.0649975	+	0.106773i
$341$	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
$345$	−16.5337	+	16.0016i	−0.890144	+	0.861497i
$346$	−16.2618			−0.874240
$347$	−3.76003	+	12.8055i	−0.201849	+	0.687435i	0.794891	+	0.606753i	$0.207528\pi$
$347$	−3.76003	+	12.8055i	−0.201849	+	0.687435i	−0.996740	+	0.0806824i	$0.974290\pi$
$348$	−11.8514	−	10.2693i	−0.635302	−	0.550493i
$349$	−26.9613	−	17.3270i	−1.44321	−	0.927493i	−0.999510	−	0.0313170i	$-0.990030\pi$
$349$	−26.9613	−	17.3270i	−1.44321	−	0.927493i	−0.443698	−	0.896176i	$-0.646334\pi$
$350$	−21.0895	−	7.32617i	−1.12728	−	0.391600i
$351$	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	$-0.864815\pi$
$353$	−11.8927	+	10.3051i	−0.632985	+	0.548484i	0.278179	+	0.960529i	$0.410269\pi$
$354$	2.70371	+	18.8047i	0.143701	+	0.999460i
$355$	12.9476	−	3.46137i	0.687188	−	0.183710i
$356$	−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	−0.999790	−	0.0204754i	$-0.993482\pi$
$359$	−0.876637	−	6.09714i	−0.0462671	−	0.321795i	0.953523	−	0.301319i	$-0.0974271\pi$
$360$	3.53578	+	0.596649i	0.186352	+	0.0314462i
$361$	−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
$365$	−0.0318090	+	1.30490i	−0.00166496	+	0.0683015i
$366$	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
$370$	4.71253	+	11.0222i	0.244993	+	0.573018i
$371$	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	$-0.639284\pi$
$373$	−20.9647	−	3.01427i	−1.08551	−	0.156073i	−0.661767	+	0.749709i	$0.730193\pi$
$374$	−2.45188	+	1.57573i	−0.126784	+	0.0814788i
$375$	−14.4087	+	19.1791i	−0.744063	+	0.990406i
$376$	−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	−0.358086	−	0.933689i	$-0.616571\pi$
$379$	−3.00851	+	0.883378i	−0.154537	+	0.0453761i	0.203549	+	0.979065i	$0.434752\pi$
$380$	4.87874	+	3.30610i	0.250274	+	0.169599i
$381$	−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	$-0.478170\pi$
$383$	20.8576	−	18.0732i	1.06577	−	0.923499i	0.997247	+	0.0741504i	$0.0236245\pi$
$384$	−0.891315	−	1.95171i	−0.0454847	−	0.0995976i
$385$	8.61136	−	26.8857i	0.438876	−	1.37022i
$386$	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	0.683086	−	0.730338i	$-0.260637\pi$
$389$	17.0188	+	4.99716i	0.862885	+	0.253366i	0.179799	+	0.983703i	$0.442455\pi$
$390$	−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
$395$	−3.12245	−	26.2425i	−0.157107	−	1.32040i
$396$	−0.645288	+	4.48807i	−0.0324269	+	0.225534i
$397$	−1.19416	−	1.85815i	−0.0599330	−	0.0932576i	0.809994	−	0.586439i	$-0.199470\pi$
$397$	−1.19416	−	1.85815i	−0.0599330	−	0.0932576i	−0.869927	+	0.493181i	$0.835834\pi$
$398$	4.08316	−	1.86472i	0.204670	−	0.0934698i
$399$	−16.5355	−	19.0829i	−0.827809	−	0.955342i
$400$	4.99406	+	0.243622i	0.249703	+	0.0121811i
$401$	5.22524	−	11.4417i	0.260936	−	0.571370i	−0.733138	−	0.680080i	$-0.761945\pi$
$401$	5.22524	−	11.4417i	0.260936	−	0.571370i	0.994073	+	0.108711i	$0.0346722\pi$
$402$	−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
$405$	16.9158	−	18.5866i	0.840552	−	0.923576i
$406$	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	−0.996911	−	0.0785388i	$-0.974975\pi$
$409$	−0.369184	+	2.56773i	−0.0182550	+	0.126966i	0.978656	+	0.205505i	$0.0658836\pi$
$410$	5.91960	−	0.704342i	0.292348	−	0.0347850i
$411$	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	0.882315	+	0.470660i	$0.155984\pi$
$419$	−1.98268	+	13.7898i	−0.0968603	+	0.673678i	−0.979175	+	0.203018i	$0.934925\pi$
$420$	−20.4016	−	6.53453i	−0.995494	−	0.318852i
$421$	−8.60168	−	18.8351i	−0.419220	−	0.917965i	−0.994954	−	0.100328i	$-0.968011\pi$
$421$	−8.60168	−	18.8351i	−0.419220	−	0.917965i	0.575734	−	0.817637i	$-0.304716\pi$
$422$	−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
$425$	−5.13111	+	0.484040i	−0.248895	+	0.0234794i
$426$	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
$430$	−10.3243	+	21.2226i	−0.497883	+	1.02345i
$431$	−14.8257	+	9.52791i	−0.714129	+	0.458943i	−0.846590	−	0.532245i	$-0.821348\pi$
$431$	−14.8257	+	9.52791i	−0.714129	+	0.458943i	0.132461	+	0.991188i	$0.457712\pi$
$432$	−2.96561	−	0.426391i	−0.142683	−	0.0205147i
$433$	2.87236	−	4.46948i	0.138037	−	0.214790i	−0.765352	−	0.643612i	$-0.777435\pi$
$433$	2.87236	−	4.46948i	0.138037	−	0.214790i	0.903389	+	0.428822i	$0.141071\pi$
$434$	−5.40813	+	6.24131i	−0.259599	+	0.299593i
$435$	32.2420	−	13.7850i	1.54589	−	0.660941i
$436$	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	0.727722	−	0.685872i	$-0.240579\pi$
$439$	20.3051	+	5.96212i	0.969110	+	0.284556i	0.241388	+	0.970429i	$0.422397\pi$
$440$	−0.154076	+	6.32066i	−0.00734530	+	0.301326i
$441$	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	$-0.190582\pi$
$443$	−0.626481	−	0.974823i	−0.0297650	−	0.0463152i	−0.855817	+	0.517278i	$0.826945\pi$
$444$	4.77827	+	10.4629i	0.226766	+	0.496549i
$445$	0.456418	−	2.70476i	0.0216363	−	0.128218i
$446$	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	−0.912891	−	0.408203i	$-0.866155\pi$
$449$	−30.9405	+	9.08495i	−1.46017	+	0.428745i	−0.547281	+	0.836949i	$0.684337\pi$
$450$	−4.65837	+	6.52596i	−0.219598	+	0.307637i
$451$	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
$455$	42.7379	−	26.0166i	2.00359	−	1.21968i
$456$	4.75727	+	3.05731i	0.222780	+	0.143172i
$457$	0.141553	+	0.122656i	0.00662156	+	0.00573761i	0.658165	−	0.752874i	$-0.271333\pi$
$457$	0.141553	+	0.122656i	0.00662156	+	0.00573761i	−0.651544	+	0.758611i	$0.725878\pi$
$458$	−1.87422	+	6.38300i	−0.0875764	+	0.298258i
$459$	3.08833			0.144151
$460$	−6.56606	+	8.47861i	−0.306144	+	0.395317i
$461$	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	$-0.335425\pi$
$463$	−6.36485	−	5.51517i	−0.295799	−	0.256312i	−0.790098	+	0.612981i	$0.789970\pi$
$464$	−6.14851	−	3.95141i	−0.285438	−	0.183440i
$465$	4.61405	+	7.57957i	0.213971	+	0.351494i
$466$	−13.8153	+	8.87853i	−0.639979	+	0.411290i
$467$	34.1117	−	15.5783i	1.57850	−	0.720878i	0.582725	−	0.812670i	$-0.301987\pi$
$467$	34.1117	−	15.5783i	1.57850	−	0.720878i	0.995778	+	0.0917915i	$0.0292593\pi$
$468$	−6.07321	+	5.26247i	−0.280734	+	0.243258i
$469$	8.90958	+	61.9675i	0.411406	+	2.86139i
$470$	20.5786	−	5.50140i	0.949219	−	0.253761i
$471$	−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
$475$	−11.4201	+	6.57599i	−0.523990	+	0.301727i
$476$	−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	0.514609	−	0.857425i	$-0.327937\pi$
$479$	−1.12834	−	0.725140i	−0.0515552	−	0.0331325i	−0.566165	+	0.824292i	$0.691573\pi$
$480$	4.79628	+	0.116917i	0.218919	+	0.00533652i
$481$	−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
$485$	−10.4033	+	4.44791i	−0.472389	+	0.201969i
$486$	9.90585	−	11.4320i	0.449338	−	0.518564i
$487$	−11.4246	+	17.7771i	−0.517699	+	0.805556i	−0.997414	−	0.0718687i	$-0.977104\pi$
$487$	−11.4246	+	17.7771i	−0.517699	+	0.805556i	0.479715	+	0.877424i	$0.340740\pi$
$488$	1.45510	+	0.209212i	0.0658694	+	0.00947059i
$489$	14.5642	−	9.35983i	0.658615	−	0.423266i
$490$	26.0144	+	12.6554i	1.17521	+	0.571712i
$491$	8.53136	+	9.84571i	0.385015	+	0.444331i	0.914865	−	0.403761i	$-0.132297\pi$
$491$	8.53136	+	9.84571i	0.385015	+	0.444331i	−0.529850	+	0.848091i	$0.677752\pi$
$492$	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
$495$	−8.39322	−	5.68770i	−0.377247	−	0.255643i
$496$	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	0.976052	−	0.217537i	$-0.0698023\pi$
$499$	3.85270	+	8.43623i	0.172470	+	0.377658i	−0.803582	+	0.595195i	$0.797075\pi$
$500$	−5.37499	+	9.80354i	−0.240377	+	0.438428i
$501$	−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	$-0.371551\pi$
$503$	−10.3562	−	8.97373i	−0.461762	−	0.400119i	−0.854434	+	0.519559i	$0.826096\pi$
$504$	−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	−0.654921	−	0.755697i	$-0.727298\pi$
$509$	4.20288	−	4.85039i	0.186290	−	0.214990i	0.841210	+	0.540708i	$0.181844\pi$
$510$	−4.91074	+	0.584302i	−0.217451	+	0.0258733i
$511$	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
$515$	−6.70093	−	6.09855i	−0.295278	−	0.268734i
$516$	−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
$520$	−7.54219	+	8.28716i	−0.330747	+	0.363416i
$521$	16.4281	+	18.9590i	0.719727	+	0.830609i	0.991274	−	0.131816i	$-0.0420809\pi$
$521$	16.4281	+	18.9590i	0.719727	+	0.830609i	−0.271548	+	0.962425i	$0.587535\pi$
$522$	10.6612	−	4.86880i	0.466628	−	0.213102i
$523$	3.65423	+	5.68609i	0.159788	+	0.248635i	0.911911	−	0.410387i	$-0.134606\pi$
$523$	3.65423	+	5.68609i	0.159788	+	0.248635i	−0.752123	+	0.659023i	$0.770970\pi$
$524$	−3.11856	+	21.6901i	−0.136235	+	0.947536i
$525$	33.0959	−	34.6306i	1.44442	−	1.51140i
$526$	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
$535$	−3.37676	+	10.5426i	−0.145990	+	0.455798i
$536$	−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
$540$	3.75830	−	5.54604i	0.161731	−	0.238664i
$541$	25.0109	−	7.34386i	1.07530	−	0.315737i	0.304304	−	0.952575i	$-0.401576\pi$
$541$	25.0109	−	7.34386i	1.07530	−	0.315737i	0.770998	+	0.636838i	$0.219758\pi$
$542$	−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
$545$	−0.983365	+	2.02140i	−0.0421227	+	0.0865873i
$546$	40.3883	−	25.9560i	1.72846	−	1.11081i
$547$	19.2693	+	2.77050i	0.823894	+	0.118458i	0.541351	−	0.840797i	$-0.317913\pi$
$547$	19.2693	+	2.77050i	0.823894	+	0.118458i	0.282543	+	0.959255i	$0.408822\pi$
$548$	4.46408	−	6.94625i	0.190696	−	0.296729i
$549$	−1.54377	+	1.78160i	−0.0658865	+	0.0760370i
$550$	−12.5586	−	6.49260i	−0.535501	−	0.276845i
$551$	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
$555$	−25.7125	−	0.626784i	−1.09143	−	0.0266055i
$556$	16.4396	+	10.5651i	0.697193	+	0.448059i
$557$	5.91272	+	0.850120i	0.250530	+	0.0360207i	0.266436	−	0.963853i	$-0.414154\pi$
$557$	5.91272	+	0.850120i	0.250530	+	0.0360207i	−0.0159057	+	0.999873i	$0.505063\pi$
$558$	1.60349	+	2.49509i	0.0678813	+	0.105625i
$559$	−21.9718	−	48.1114i	−0.929306	−	2.03490i
$560$	−9.84519	−	1.66134i	−0.416035	−	0.0702045i
$561$	−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	0.770459	+	0.637490i	$0.220027\pi$
$563$	11.0799	+	37.7345i	0.466961	+	1.59032i	−0.303498	+	0.952832i	$0.598155\pi$
$564$	19.6115	−	5.75846i	0.825793	−	0.242475i
$565$	8.61092	+	32.2101i	0.362264	+	1.35509i
$566$	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	−0.847198	−	0.531277i	$-0.821712\pi$
$569$	−17.0762	+	10.9742i	−0.715870	+	0.460062i	0.131328	+	0.991339i	$0.458076\pi$
$570$	−10.8010	+	6.57510i	−0.452405	+	0.275401i
$571$	38.0729	+	24.4680i	1.59330	+	1.02395i	0.970353	+	0.241691i	$0.0777019\pi$
$571$	38.0729	+	24.4680i	1.59330	+	1.02395i	0.622949	+	0.782263i	$0.285934\pi$
$572$	−10.7085	−	9.27895i	−0.447744	−	0.387972i
$573$	−12.3228	+	41.9677i	−0.514794	+	1.75323i
$574$	−11.9041			−0.496867
$575$	−10.6256	−	21.4964i	−0.443118	−	0.896463i
$576$	1.60360			0.0668168
$577$	−3.02905	+	10.3160i	−0.126101	+	0.429461i	−0.998207	−	0.0598564i	$-0.980936\pi$
$577$	−3.02905	+	10.3160i	−0.126101	+	0.429461i	0.872106	+	0.489317i	$0.162754\pi$
$578$	12.0448	+	10.4368i	0.500996	+	0.434115i
$579$	44.9070	+	28.8600i	1.86627	+	1.19938i
$580$	13.9597	−	8.49796i	0.579646	−	0.352858i
$581$	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
$585$	−4.64081	−	17.3594i	−0.191874	−	0.717724i
$586$	23.2036	−	6.81320i	0.958533	−	0.281451i
$587$	0.463798	+	1.57955i	0.0191430	+	0.0651951i	0.968511	−	0.248972i	$-0.0800928\pi$
$587$	0.463798	+	1.57955i	0.0191430	+	0.0651951i	−0.949368	+	0.314167i	$0.898275\pi$
$588$	25.2504	+	11.5315i	1.04131	+	0.475549i
$589$	0.693736	+	4.82504i	0.0285849	+	0.198812i
$590$	−19.5231	−	3.29446i	−0.803755	−	0.135631i
$591$	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	$-0.659597\pi$
$593$	−28.9509	−	4.16251i	−1.18887	−	0.170934i	−0.708229	+	0.705983i	$0.750506\pi$
$594$	7.12675	+	4.58008i	0.292414	+	0.187923i
$595$	10.2886	+	0.250802i	0.421793	+	0.0102819i
$596$	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	$0.328750\pi$
$600$	−4.92676	+	9.52980i	−0.201134	+	0.389053i
$601$	18.0593	−	20.8416i	0.736656	−	0.850146i	−0.256548	−	0.966531i	$-0.582585\pi$
$601$	18.0593	−	20.8416i	0.736656	−	0.850146i	0.993204	+	0.116385i	$0.0371307\pi$
$602$	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
$605$	−2.93955	+	6.04253i	−0.119510	+	0.245664i
$606$	−11.3545	−	13.1038i	−0.461245	−	0.532305i
$607$	−27.7696	+	3.99267i	−1.12714	+	0.162058i	−0.680563	−	0.732690i	$-0.738265\pi$
$607$	−27.7696	+	3.99267i	−1.12714	+	0.162058i	−0.446573	+	0.894747i	$0.647356\pi$
$608$	2.39744	+	1.09488i	0.0972291	+	0.0444030i
$609$	−67.1847	+	19.7272i	−2.72246	+	0.799387i
$610$	−1.84404	+	2.72121i	−0.0746629	+	0.110179i
$611$	−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	$-0.622807\pi$
$613$	12.0625	−	10.4522i	0.487198	−	0.422159i	0.863509	+	0.504334i	$0.168262\pi$
$614$	−0.608205	−	1.33178i	−0.0245451	−	0.0537464i
$615$	−3.90156	+	12.1811i	−0.157326	+	0.491190i
$616$	1.79677	−	12.4968i	0.0723940	−	0.503511i
$617$	5.67040	−	8.82331i	0.228282	−	0.355213i	−0.708151	−	0.706061i	$-0.750470\pi$
$617$	5.67040	−	8.82331i	0.228282	−	0.355213i	0.936432	+	0.350848i	$0.114107\pi$
$618$	−6.57052	−	5.69338i	−0.264305	−	0.229021i
$619$	−3.08043	−	0.904497i	−0.123813	−	0.0363548i	0.219239	−	0.975671i	$-0.429643\pi$
$619$	−3.08043	−	0.904497i	−0.123813	−	0.0363548i	−0.343052	+	0.939316i	$0.611461\pi$
$620$	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
$625$	−14.4548	−	20.3975i	−0.578192	−	0.815901i
$626$	−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
$630$	10.7767	−	11.8412i	0.429355	−	0.471764i
$631$	−2.07634	+	4.54655i	−0.0826577	+	0.180995i	−0.946448	−	0.322856i	$-0.895357\pi$
$631$	−2.07634	+	4.54655i	−0.0826577	+	0.180995i	0.863790	+	0.503852i	$0.168084\pi$
$632$	−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
$635$	−8.15164	−	7.41885i	−0.323488	−	0.294408i
$636$	−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
$640$	2.22041	−	0.264194i	0.0877692	−	0.0104432i
$641$	10.8861	−	12.5633i	0.429976	−	0.496219i	−0.498874	−	0.866674i	$-0.666253\pi$
$641$	10.8861	−	12.5633i	0.429976	−	0.496219i	0.928850	+	0.370456i	$0.120798\pi$
$642$	−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	−0.991952	−	0.126611i	$-0.959590\pi$
$647$	−32.0100	−	27.7369i	−1.25844	−	1.09045i	−0.266492	−	0.963837i	$-0.585865\pi$
$648$	6.07641	−	9.45507i	0.238704	−	0.371430i
$649$	3.56302	−	24.7813i	0.139861	−	0.972753i
$650$	−9.28580	−	23.2719i	−0.364219	−	0.912800i
$651$	−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	$-0.520909\pi$
$653$	3.89702	−	0.560307i	0.152502	−	0.0219265i	0.218143	+	0.975917i	$0.430000\pi$
$654$	−0.896032	+	1.96204i	−0.0350376	+	0.0767217i
$655$	−40.5630	−	27.4877i	−1.58493	−	1.07403i
$656$	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	−0.906053	−	0.423165i	$-0.860919\pi$
$659$	−30.7016	−	35.4316i	−1.19597	−	1.38022i	−0.289913	−	0.957053i	$-0.593626\pi$
$660$	−12.1987	−	5.93441i	−0.474836	−	0.230997i
$661$	−16.9223	+	10.8753i	−0.658201	+	0.423000i	−0.826655	−	0.562709i	$-0.809759\pi$
$661$	−16.9223	+	10.8753i	−0.658201	+	0.423000i	0.168453	+	0.985710i	$0.446123\pi$
$662$	−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
$665$	24.1963	−	10.3451i	0.938291	−	0.401165i
$666$	−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
$670$	31.3420	+	0.764013i	1.21085	+	0.0295164i
$671$	−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	0.865974	+	0.500089i	$0.166699\pi$
$673$	24.9339	+	38.7979i	0.961132	+	1.49555i	0.0951582	+	0.995462i	$0.469664\pi$
$674$	9.83970	+	21.5459i	0.379011	+	0.829918i
$675$	7.47543	+	12.9821i	0.287730	+	0.499681i
$676$	−1.72376	−	11.9890i	−0.0662986	−	0.461117i
$677$	−18.3180	−	8.36555i	−0.704018	−	0.321514i	0.0310404	−	0.999518i	$-0.490118\pi$
$677$	−18.3180	−	8.36555i	−0.704018	−	0.321514i	−0.735058	+	0.678004i	$0.762845\pi$
$678$	9.01326	+	30.6964i	0.346152	+	1.17889i
$679$	21.6780	−	6.36524i	0.831925	−	0.244275i
$680$	−2.22669	+	0.595276i	−0.0853898	+	0.0228278i
$681$	−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	$-0.510664\pi$
$683$	18.2912	−	8.35330i	0.699893	−	0.319630i	0.733390	+	0.679809i	$0.237937\pi$
$684$	−3.55554	+	2.28501i	−0.135950	+	0.0873695i
$685$	9.60052	+	15.7709i	0.366817	+	0.602576i
$686$	−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
$690$	−10.6953	−	20.3721i	−0.407165	−	0.775554i
$691$	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
$695$	−37.3248	+	22.7214i	−1.41581	+	0.861871i
$696$	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
$700$	12.9710	−	18.1712i	0.490258	−	0.686807i
$701$	−5.12787	+	1.50568i	−0.193677	+	0.0568687i	−0.377133	−	0.926159i	$-0.623090\pi$
$701$	−5.12787	+	1.50568i	−0.193677	+	0.0568687i	0.183455	+	0.983028i	$0.441272\pi$
$702$	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
$705$	−7.60487	+	45.0668i	−0.286416	+	1.69732i
$706$	−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	0.192920	−	0.981214i	$-0.438204\pi$
$709$	−16.4950	−	10.6007i	−0.619482	−	0.398117i	−0.812402	+	0.583098i	$0.801841\pi$
$710$	−0.326606	+	13.3983i	−0.0122573	+	0.502830i
$711$	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
$715$	29.1326	−	12.4556i	1.08950	−	0.465813i
$716$	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	−0.485025	−	0.874500i	$-0.661190\pi$
$719$	2.92170	−	1.87767i	0.108961	−	0.0700251i	0.593986	+	0.804475i	$0.297553\pi$
$720$	−1.56862	+	3.22446i	−0.0584592	+	0.120168i
$721$	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
$725$	3.43210	+	36.3822i	0.127465	+	1.35120i
$726$	−2.67849	+	5.86508i	−0.0994082	+	0.217674i
$727$	8.07215	−	1.16060i	0.299379	−	0.0430443i	0.00901164	−	0.999959i	$-0.497131\pi$
$727$	8.07215	−	1.16060i	0.299379	−	0.0430443i	0.290368	+	0.956915i	$0.406222\pi$
$728$	16.9105	−	14.6531i	0.626747	−	0.543079i
$729$	−0.524277	−	1.14801i	−0.0194177	−	0.0425188i
$730$	−1.24308	−	0.398153i	−0.0460084	−	0.0147363i
$731$	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	−0.926900	−	0.375309i	$-0.877537\pi$
$733$	−38.7239	−	33.5545i	−1.43030	−	1.23936i	−0.503401	−	0.864053i	$-0.667918\pi$
$734$	−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	−0.960905	−	0.276879i	$-0.910700\pi$
$739$	−14.9540	+	17.2579i	−0.550093	+	0.634841i	0.410812	+	0.911720i	$0.365245\pi$
$740$	−11.9034	+	1.41632i	−0.437578	+	0.0520651i
$741$	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	$-0.969769\pi$
$743$	−42.9514	+	19.6153i	−1.57574	+	0.719614i	−0.580242	+	0.814444i	$0.697042\pi$
$744$	2.59872	+	2.99908i	0.0952738	+	0.109952i
$745$	−0.799388	+	0.878347i	−0.0292873	+	0.0321802i
$746$	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
$750$	−14.3428	−	19.2285i	−0.523726	−	0.702124i
$751$	12.3052	+	14.2009i	0.449022	+	0.518199i	0.934458	−	0.356073i	$-0.115885\pi$
$751$	12.3052	+	14.2009i	0.449022	+	0.518199i	−0.485436	+	0.874272i	$0.661339\pi$
$752$	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
$755$	2.22843	+	18.7287i	0.0811009	+	0.681609i
$756$	−8.76079	+	10.1105i	−0.318627	+	0.367715i
$757$	8.67318	−	29.5381i	0.315232	−	1.07358i	−0.637671	−	0.770308i	$-0.720102\pi$
$757$	8.67318	−	29.5381i	0.315232	−	1.07358i	0.952904	−	0.303274i	$-0.0980796\pi$
$758$		−	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	0.438628	−	0.898669i	$-0.355465\pi$
$761$	8.87635	+	2.60633i	0.321768	+	0.0944795i	−0.116860	+	0.993148i	$0.537283\pi$
$762$	−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
$765$	1.12743	−	3.51998i	0.0407625	−	0.127265i
$766$	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	−0.946497	−	0.322713i	$-0.895405\pi$
$769$	−2.29563	+	5.02674i	−0.0827827	+	0.181269i	0.863714	+	0.503982i	$0.168132\pi$
$770$	23.3705	+	15.8371i	0.842215	+	0.570730i
$771$	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	$-0.555984\pi$
$773$	−1.82037	+	0.261729i	−0.0654741	+	0.00941375i	0.109500	+	0.993987i	$0.465075\pi$
$774$	−11.0837	−	12.7913i	−0.398395	−	0.459773i
$775$	−8.98947	+	2.16994i	−0.322911	+	0.0779465i
$776$	−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
$780$	−9.45165	−	22.1066i	−0.338423	−	0.791544i
$781$	−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
$785$	0.145872	−	5.98408i	0.00520638	−	0.213581i
$786$	−39.5531	−	25.4192i	−1.41081	−	0.906673i
$787$	35.6342	+	5.12343i	1.27022	+	0.182630i	0.744267	−	0.667882i	$-0.232799\pi$
$787$	35.6342	+	5.12343i	1.27022	+	0.182630i	0.525955	+	0.850512i	$0.323708\pi$
$788$	5.62749	+	8.75654i	0.200471	+	0.311939i
$789$	5.18032	+	11.3433i	0.184424	+	0.403833i
$790$	26.0591	+	4.39739i	0.927143	+	0.156452i
$791$	−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
$795$	31.2410	−	8.35187i	1.10801	−	0.296210i
$796$	0.638824	+	4.44312i	0.0226425	+	0.157482i
$797$	22.1179	−	19.1652i	0.783455	−	0.678868i	−0.168297	−	0.985736i	$-0.553827\pi$
$797$	22.1179	−	19.1652i	0.783455	−	0.678868i	0.951752	+	0.306869i	$0.0992813\pi$
$798$	22.9685	−	10.4894i	0.813077	−	0.371320i
$799$	−8.26061	+	5.30877i	−0.292240	+	0.187811i
$800$	−1.64074	+	4.72313i	−0.0580090	+	0.166988i
$801$	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
$805$	15.9977	+	45.1320i	0.563844	+	1.59069i
$806$	−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	0.849454	−	0.527662i	$-0.176931\pi$
$809$	20.5458	+	13.2040i	0.722352	+	0.464227i	−0.127102	+	0.991890i	$0.540568\pi$
$810$	13.0680	+	21.4670i	0.459163	+	0.754274i
$811$	−25.5952	+	16.4490i	−0.898770	+	0.577604i	−0.906425	−	0.422367i	$-0.861199\pi$
$811$	−25.5952	+	16.4490i	−0.898770	+	0.577604i	0.00765559	+	0.999971i	$0.497563\pi$
$812$	−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
$815$	4.65976	+	17.4303i	0.163224	+	0.610557i
$816$	−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
$820$	−0.991934	+	5.87825i	−0.0346398	+	0.205277i
$821$	15.8625	+	34.7339i	0.553604	+	1.21222i	0.955079	+	0.296353i	$0.0957704\pi$
$821$	15.8625	+	34.7339i	0.553604	+	1.21222i	−0.401475	+	0.915870i	$0.631502\pi$
$822$	9.57814	+	14.9039i	0.334076	+	0.519833i
$823$	−14.2177	−	2.04420i	−0.495599	−	0.0712563i	−0.110016	−	0.993930i	$-0.535090\pi$
$823$	−14.2177	−	2.04420i	−0.495599	−	0.0712563i	−0.385582	+	0.922673i	$0.625999\pi$
$824$	−3.40878	−	2.19069i	−0.118751	−	0.0763164i
$825$	23.8653	−	18.7238i	0.830884	−	0.651878i
$826$	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	$0.309402\pi$
$830$	−7.67667	−	17.9551i	−0.266461	−	0.623230i
$831$	−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
$835$	−27.1347	−	13.2004i	−0.939034	−	0.456818i
$836$	−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	−0.706427	−	0.707786i	$-0.749694\pi$
$839$	−26.5919	+	7.80808i	−0.918053	+	0.269565i	−0.211626	+	0.977351i	$0.567876\pi$
$840$	12.0176	−	17.7342i	0.414647	−	0.611887i
$841$	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
$845$	25.7932	+	8.26146i	0.887314	+	0.284203i
$846$	−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	−0.677189	−	0.735809i	$-0.736802\pi$
$853$	8.47876	−	28.8760i	0.290307	−	0.988695i	0.967496	−	0.252886i	$-0.0813798\pi$
$854$	4.29855	−	4.96079i	0.147093	−	0.169755i
$855$	−1.11661	−	9.38451i	−0.0381873	−	0.320943i
$856$	−0.704565	+	4.90036i	−0.0240816	+	0.167491i
$857$	−14.3908	−	22.3926i	−0.491581	−	0.764915i	0.503498	−	0.863996i	$-0.332046\pi$
$857$	−14.3908	−	22.3926i	−0.491581	−	0.764915i	−0.995079	+	0.0990811i	$0.968410\pi$
$858$	27.6544	−	12.6294i	0.944106	−	0.431159i
$859$	3.18541	+	3.67616i	0.108685	+	0.125429i	0.807485	−	0.589888i	$-0.200828\pi$
$859$	3.18541	+	3.67616i	0.108685	+	0.125429i	−0.698801	+	0.715317i	$0.746283\pi$
$860$	−17.4543	−	15.8852i	−0.595185	−	0.541681i
$861$	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	$-0.168518\pi$
$863$	−3.99599	−	13.6091i	−0.136025	−	0.463259i	−0.999127	+	0.0417706i	$0.986700\pi$
$864$	1.24463	−	2.72536i	0.0423432	−	0.0927186i
$865$	26.8925	+	24.4750i	0.914372	+	0.832175i
$866$	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
$870$	4.14301	+	34.8197i	0.140461	+	1.18050i
$871$	−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	$-0.331497\pi$
$877$	−8.21751	−	7.12051i	−0.277486	−	0.240443i	−0.782474	+	0.622684i	$0.786042\pi$
$878$	−11.4412	+	17.8029i	−0.386123	+	0.600819i
$879$	−7.38436	+	51.3594i	−0.249068	+	1.73231i
$880$	−6.02122	−	1.92857i	−0.202975	−	0.0650121i
$881$	4.76686	+	10.4380i	0.160600	+	0.351664i	0.972776	−	0.231748i	$-0.0744445\pi$
$881$	4.76686	+	10.4380i	0.160600	+	0.351664i	−0.812176	+	0.583412i	$0.801717\pi$
$882$	−15.6793	+	13.5862i	−0.527951	+	0.457472i
$883$	−10.2241	+	1.47000i	−0.344069	+	0.0494696i	−0.312183	−	0.950022i	$-0.601060\pi$
$883$	−10.2241	+	1.47000i	−0.344069	+	0.0494696i	−0.0318854	+	0.999492i	$0.510151\pi$
$884$	2.14581	−	4.69866i	0.0721713	−	0.158033i
$885$	23.8311	−	35.1670i	0.801073	−	1.18213i
$886$	1.11184	−	0.326464i	0.0373529	−	0.0109678i
$887$	24.7275	+	11.2926i	0.830267	+	0.379170i	0.784764	−	0.619794i	$-0.212784\pi$
$887$	24.7275	+	11.2926i	0.830267	+	0.379170i	0.0455022	+	0.998964i	$0.485511\pi$
$888$	−11.3853	+	1.63696i	−0.382066	+	0.0549328i
$889$	14.4134	+	16.6340i	0.483411	+	0.557886i
$890$	2.46661	+	1.19995i	0.0826809	+	0.0402224i
$891$	−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
$895$	1.00309	+	2.34615i	0.0335297	+	0.0784232i
$896$	−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
$900$	−4.94920	−	6.30825i	−0.164973	−	0.210275i
$901$	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
$905$	−3.06332	+	18.1534i	−0.101828	+	0.603440i
$906$	2.57558	+	17.9136i	0.0855680	+	0.595138i
$907$	−22.6354	−	10.3372i	−0.751595	−	0.343242i	0.00250897	−	0.999997i	$-0.499201\pi$
$907$	−22.6354	−	10.3372i	−0.751595	−	0.343242i	−0.754104	+	0.656755i	$0.771929\pi$
$908$	−3.31969	−	11.3058i	−0.110168	−	0.375197i
$909$	12.4339	−	3.65093i	0.412408	−	0.121094i
$910$	12.9221	+	48.3365i	0.428363	+	1.60234i
$911$	2.35106	+	16.3520i	0.0778941	+	0.541766i	0.990981	+	0.134001i	$0.0427825\pi$
$911$	2.35106	+	16.3520i	0.0778941	+	0.541766i	−0.913087	+	0.407765i	$0.866308\pi$
$912$	−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
$915$	−3.66739	−	6.02448i	−0.121240	−	0.199163i
$916$	−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	$0.323550\pi$
$920$	−6.28530	−	8.68879i	−0.207220	−	0.286461i
$921$	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
$925$	8.79589	−	25.3203i	0.289207	−	0.832527i
$926$	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	−0.944960	−	0.327186i	$-0.893900\pi$
$929$	−3.97625	−	27.6554i	−0.130456	−	0.907344i	0.814504	−	0.580158i	$-0.197009\pi$
$930$	−8.57247	+	2.29173i	−0.281102	+	0.0751489i
$931$	−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
$935$	6.42628	+	1.08441i	0.210162	+	0.0354641i
$936$	−3.33828	−	7.30981i	−0.109115	−	0.238929i
$937$	−17.7059	−	27.5510i	−0.578428	−	0.900051i	0.421549	−	0.906805i	$-0.361486\pi$
$937$	−17.7059	−	27.5510i	−0.578428	−	0.900051i	−0.999977	+	0.00675410i	$0.997850\pi$
$938$	−61.9675	−	8.90958i	−2.02331	−	0.290908i
$939$	−54.7783	−	35.2038i	−1.78762	−	1.14883i
$940$	−0.519099	+	21.2949i	−0.0169311	+	0.694564i
$941$	−20.2255	−	5.93874i	−0.659332	−	0.193597i	−0.0650845	−	0.997880i	$-0.520732\pi$
$941$	−20.2255	−	5.93874i	−0.659332	−	0.193597i	−0.594247	+	0.804283i	$0.702550\pi$
$942$		−	5.74368i		−	0.187139i
$943$	−9.11305	−	8.96806i	−0.296762	−	0.292040i
$944$	−8.85445			−0.288188
$945$	−11.7601	−	27.5058i	−0.382555	−	0.894763i
$946$	19.5431	−	22.5540i	0.635402	−	0.733294i
$947$	−15.8027	+	24.5895i	−0.513520	+	0.799052i	−0.997088	−	0.0762542i	$-0.975704\pi$
$947$	−15.8027	+	24.5895i	−0.513520	+	0.799052i	0.483569	+	0.875306i	$0.339340\pi$
$948$	25.1002	+	3.60887i	0.815218	+	0.117211i
$949$	2.46088	−	1.58151i	0.0798837	−	0.0513381i
$950$	−3.09220	−	12.8102i	−0.100324	−	0.415617i
$951$	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	$-0.0716669\pi$
$953$	44.5888	+	20.3630i	1.44437	+	0.659623i	0.469611	+	0.882873i	$0.344394\pi$
$954$	10.3710	−	3.04520i	0.335773	−	0.0985919i
$955$	−37.7355	−	25.5716i	−1.22109	−	0.827478i
$956$	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
$960$	−1.46345	+	4.56906i	−0.0472327	+	0.147466i
$961$	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
$970$	−1.33679	−	11.2350i	−0.0429219	−	0.360735i
$971$	−2.32893	+	16.1980i	−0.0747389	+	0.519820i	0.917719	+	0.397231i	$0.130029\pi$
$971$	−2.32893	+	16.1980i	−0.0747389	+	0.519820i	−0.992458	+	0.122589i	$0.960880\pi$
$972$	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
$975$	53.6965	+	2.61944i	1.71967	+	0.0838891i
$976$	−0.610687	+	1.33722i	−0.0195476	+	0.0428033i
$977$	1.95835	+	6.66952i	0.0626531	+	0.213377i	0.984870	−	0.173297i	$-0.0554421\pi$
$977$	1.95835	+	6.66952i	0.0626531	+	0.213377i	−0.922216	+	0.386674i	$0.873624\pi$
$978$	4.87749	+	16.6112i	0.155965	+	0.531167i
$979$	−1.44088	+	3.15510i	−0.0460509	+	0.100837i
$980$	−19.4718	+	21.3952i	−0.622005	+	0.683443i
$981$	−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	$-0.0787952\pi$
$983$	10.7818	+	16.7768i	0.343885	+	0.535096i	−0.625632	+	0.780118i	$0.715159\pi$
$984$	−0.814065	+	5.66195i	−0.0259515	+	0.180496i
$985$	−23.1120	+	2.74998i	−0.736411	+	0.0876216i
$986$	−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	0.313658	−	0.949536i	$-0.398445\pi$
$991$	2.01997	+	0.593117i	0.0641664	+	0.0188410i	−0.249492	+	0.968377i	$0.580264\pi$
$992$	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
$995$	−9.55892	−	3.06168i	−0.303038	−	0.0970618i
$996$	−7.78375	−	17.0440i	−0.246638	−	0.540061i
$997$	4.56466	−	3.95530i	0.144564	−	0.125266i	−0.579577	−	0.814918i	$-0.696782\pi$
$997$	4.56466	−	3.95530i	0.144564	−	0.125266i	0.724141	+	0.689652i	$0.242237\pi$
$998$	−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.179.2	yes	120
5.4	even	2	inner	230.2.j.a.179.11	yes	120
23.9	even	11	inner	230.2.j.a.9.11	yes	120
115.9	even	22	inner	230.2.j.a.9.2	✓	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.j.a.9.2	✓	120	115.9	even	22	inner
230.2.j.a.9.11	yes	120	23.9	even	11	inner
230.2.j.a.179.2	yes	120	1.1	even	1	trivial
230.2.j.a.179.11	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)

\(f(q)\)	\(=\)	\(q+(-0.281733 + 0.959493i) q^{2} +(-1.62154 - 1.40507i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(1.91000 - 1.16271i) q^{5} +(1.80499 - 1.16000i) q^{6} +(-4.06165 + 1.85489i) q^{7} +(0.755750 - 0.654861i) q^{8} +(0.228216 + 1.58728i) q^{9} +O(q^{10})\)	\(q+(-0.281733 + 0.959493i) q^{2} +(-1.62154 - 1.40507i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(1.91000 - 1.16271i) 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} +(0.577502 + 2.16021i) 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} +(-4.73083 - 0.798310i) 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} +(-2.23540 - 0.0544916i) q^{20} +(9.19236 + 2.69912i) q^{21} -2.82752i q^{22} +(2.84316 - 3.86218i) q^{23} -2.14560 q^{24} +(2.29621 - 4.44155i) 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} +(2.09880 - 4.31428i) 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} +(-5.60105 + 8.26536i) 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} +(0.682070 - 2.12950i) 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} +(3.61472 + 3.45453i) 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} +(-4.25560 + 4.67594i) 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} +(3.54823 + 3.22926i) 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} +(-11.1269 + 1.32394i) 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} +(-9.96409 + 3.97580i) 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} +(1.85108 + 1.25439i) 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} +(-2.07265 - 1.00829i) 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} +(-3.29706 + 1.40965i) q^{90} +22.3759 q^{91} +(-4.47987 + 1.71195i) q^{92} +3.96836i q^{93} +(9.14033 + 2.68384i) q^{94} +(-5.89167 - 0.143619i) 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

Properties

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