LMFDB - Embedded newform 300.2.n.a.191.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [300,2,Mod(11,300)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(300, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 8]))

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

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

chi := DirichletCharacter("300.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.n (of order $10$, degree $4$, 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:	$2.39551206064$
Analytic rank:	$0$
Dimension:	$224$
Relative dimension:	$56$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			191.17
Character	$\chi$	$=$	300.191
Dual form			300.2.n.a.11.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.884246 + 1.10368i) q^{2} +(0.846655 + 1.51102i) q^{3} +(-0.436219 - 1.95185i) q^{4} +(0.448288 - 2.19067i) q^{5} +(-2.41633 - 0.401675i) q^{6} -2.41810i q^{7} +(2.53994 + 1.24447i) q^{8} +(-1.56635 + 2.55862i) q^{9} +O(q^{10})$	\(q+(-0.884246 + 1.10368i) q^{2} +(0.846655 + 1.51102i) q^{3} +(-0.436219 - 1.95185i) q^{4} +(0.448288 - 2.19067i) q^{5} +(-2.41633 - 0.401675i) q^{6} -2.41810i q^{7} +(2.53994 + 1.24447i) q^{8} +(-1.56635 + 2.55862i) q^{9} +(2.02140 + 2.43186i) q^{10} +(4.39698 + 3.19459i) q^{11} +(2.57995 - 2.31168i) q^{12} +(3.38184 - 2.45705i) q^{13} +(2.66881 + 2.13819i) q^{14} +(3.68969 - 1.17737i) q^{15} +(-3.61943 + 1.70287i) q^{16} +(-3.42396 - 1.11251i) q^{17} +(-1.43886 - 3.99120i) q^{18} +(7.02945 + 2.28401i) q^{19} +(-4.47141 + 0.0806220i) q^{20} +(3.65379 - 2.04730i) q^{21} +(-7.41382 + 2.02805i) q^{22} +(0.603374 + 0.438377i) q^{23} +(0.270041 + 4.89153i) q^{24} +(-4.59808 - 1.96410i) q^{25} +(-0.278580 + 5.90511i) q^{26} +(-5.19228 - 0.200515i) q^{27} +(-4.71976 + 1.05482i) q^{28} +(-3.66968 + 1.19235i) q^{29} +(-1.96315 + 5.11332i) q^{30} +(-0.927208 - 0.301268i) q^{31} +(1.32104 - 5.50044i) q^{32} +(-1.10436 + 9.34863i) q^{33} +(4.25548 - 2.79523i) q^{34} +(-5.29726 - 1.08400i) q^{35} +(5.67731 + 1.94116i) q^{36} +(4.42936 - 3.21812i) q^{37} +(-8.73657 + 5.73864i) q^{38} +(6.57591 + 3.02975i) q^{39} +(3.86484 - 5.00629i) q^{40} +(1.05987 + 1.45879i) q^{41} +(-0.971290 + 5.84293i) q^{42} +4.88416i q^{43} +(4.31731 - 9.97578i) q^{44} +(4.90292 + 4.57836i) q^{45} +(-1.01736 + 0.278299i) q^{46} +(-2.13830 - 6.58101i) q^{47} +(-5.63747 - 4.02728i) q^{48} +1.15280 q^{49} +(6.23357 - 3.33805i) q^{50} +(-1.21789 - 6.11559i) q^{51} +(-6.27102 - 5.52903i) q^{52} +(-4.55991 + 1.48160i) q^{53} +(4.81256 - 5.55331i) q^{54} +(8.96941 - 8.20023i) q^{55} +(3.00924 - 6.14183i) q^{56} +(2.50034 + 12.5554i) q^{57} +(1.92892 - 5.10448i) q^{58} +(-7.42456 + 5.39426i) q^{59} +(-3.90756 - 6.68812i) q^{60} +(-8.05374 - 5.85138i) q^{61} +(1.15238 - 0.756946i) q^{62} +(6.18700 + 3.78759i) q^{63} +(4.90260 + 6.32175i) q^{64} +(-3.86656 - 8.50998i) q^{65} +(-9.34137 - 9.48535i) q^{66} +(-1.52430 - 0.495274i) q^{67} +(-0.677859 + 7.16836i) q^{68} +(-0.151546 + 1.28286i) q^{69} +(5.88047 - 4.88795i) q^{70} +(3.21134 + 9.88348i) q^{71} +(-7.16256 + 4.54948i) q^{72} +(3.45636 + 2.51119i) q^{73} +(-0.364870 + 7.73421i) q^{74} +(-0.925188 - 8.61069i) q^{75} +(1.39165 - 14.7168i) q^{76} +(7.72484 - 10.6323i) q^{77} +(-9.15859 + 4.57865i) q^{78} +(-8.43495 + 2.74068i) q^{79} +(2.10788 + 8.69234i) q^{80} +(-4.09309 - 8.01540i) q^{81} +(-2.54722 - 0.120168i) q^{82} +(2.68916 - 8.27640i) q^{83} +(-5.58986 - 6.23858i) q^{84} +(-3.97207 + 7.00205i) q^{85} +(-5.39055 - 4.31880i) q^{86} +(-4.90862 - 4.53544i) q^{87} +(7.19250 + 13.5860i) q^{88} +(7.10249 - 9.77574i) q^{89} +(-9.38843 + 1.36286i) q^{90} +(-5.94140 - 8.17763i) q^{91} +(0.592442 - 1.36892i) q^{92} +(-0.329804 - 1.65610i) q^{93} +(9.15412 + 3.45923i) q^{94} +(8.15473 - 14.3753i) q^{95} +(9.42973 - 2.66086i) q^{96} +(0.0838452 + 0.258049i) q^{97} +(-1.01936 + 1.27232i) q^{98} +(-15.0610 + 6.24635i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 224 q - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) $ 224 * q - 6 * q^4 + q^6 - 6 * q^9	$ 224 q - 6 q^{4} + q^{6} - 6 q^{9} - 8 q^{10} - 9 q^{12} - 12 q^{13} - 18 q^{16} - 26 q^{18} + 12 q^{21} - 6 q^{22} - 16 q^{24} - 12 q^{25} + 2 q^{28} - 13 q^{30} + 6 q^{33} - 30 q^{34} + 35 q^{36} + 12 q^{37} - 24 q^{40} - 13 q^{42} - 6 q^{45} - 18 q^{46} - 34 q^{48} - 168 q^{49} - 28 q^{52} - 38 q^{54} - 44 q^{57} - 34 q^{58} - 76 q^{60} + 4 q^{61} + 18 q^{64} - 46 q^{66} - 18 q^{69} + 72 q^{70} - 29 q^{72} - 20 q^{73} + 16 q^{76} + 5 q^{78} - 30 q^{81} - 20 q^{82} - 18 q^{84} - 76 q^{85} + 6 q^{88} + 2 q^{90} - 52 q^{93} + 96 q^{94} - 50 q^{96} - 72 q^{97}+O(q^{100}) $ 224 * q - 6 * q^4 + q^6 - 6 * q^9 - 8 * q^10 - 9 * q^12 - 12 * q^13 - 18 * q^16 - 26 * q^18 + 12 * q^21 - 6 * q^22 - 16 * q^24 - 12 * q^25 + 2 * q^28 - 13 * q^30 + 6 * q^33 - 30 * q^34 + 35 * q^36 + 12 * q^37 - 24 * q^40 - 13 * q^42 - 6 * q^45 - 18 * q^46 - 34 * q^48 - 168 * q^49 - 28 * q^52 - 38 * q^54 - 44 * q^57 - 34 * q^58 - 76 * q^60 + 4 * q^61 + 18 * q^64 - 46 * q^66 - 18 * q^69 + 72 * q^70 - 29 * q^72 - 20 * q^73 + 16 * q^76 + 5 * q^78 - 30 * q^81 - 20 * q^82 - 18 * q^84 - 76 * q^85 + 6 * q^88 + 2 * q^90 - 52 * q^93 + 96 * q^94 - 50 * q^96 - 72 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{1}{5}\right)$

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 $

$2$	−0.884246	+	1.10368i	−0.625256	+	0.780420i
$2$	−0.884246	+	1.10368i	−0.625256	+	0.780420i
$3$	0.846655	+	1.51102i	0.488816	+	0.872387i
$3$	0.846655	+	1.51102i	0.488816	+	0.872387i
$4$	−0.436219	−	1.95185i	−0.218110	−	0.975924i
$5$	0.448288	−	2.19067i	0.200481	−	0.979698i
$5$	0.448288	−	2.19067i	0.200481	−	0.979698i
$6$	−2.41633	−	0.401675i	−0.986463	−	0.163983i
$7$		−	2.41810i		−	0.913955i	−0.889478	−	0.456978i	$-0.848932\pi$
$7$		−	2.41810i		−	0.913955i	0.889478	−	0.456978i	$-0.151068\pi$
$8$	2.53994	+	1.24447i	0.898005	+	0.439986i
$9$	−1.56635	+	2.55862i	−0.522117	+	0.852874i
$10$	2.02140	+	2.43186i	0.639224	+	0.769021i
$11$	4.39698	+	3.19459i	1.32574	+	0.963206i	0.999842	+	0.0178004i	$0.00566635\pi$
$11$	4.39698	+	3.19459i	1.32574	+	0.963206i	0.325897	+	0.945405i	$0.394334\pi$
$12$	2.57995	−	2.31168i	0.744768	−	0.667324i
$13$	3.38184	−	2.45705i	0.937955	−	0.681464i	−0.00997257	−	0.999950i	$-0.503174\pi$
$13$	3.38184	−	2.45705i	0.937955	−	0.681464i	0.947928	+	0.318486i	$0.103174\pi$
$14$	2.66881	+	2.13819i	0.713269	+	0.571456i
$15$	3.68969	−	1.17737i	0.952673	−	0.303996i
$16$	−3.61943	+	1.70287i	−0.904856	+	0.425717i
$17$	−3.42396	−	1.11251i	−0.830433	−	0.269824i	−0.137205	−	0.990543i	$-0.543812\pi$
$17$	−3.42396	−	1.11251i	−0.830433	−	0.269824i	−0.693228	+	0.720719i	$0.743812\pi$
$18$	−1.43886	−	3.99120i	−0.339143	−	0.940735i
$19$	7.02945	+	2.28401i	1.61267	+	0.523987i	0.970196	−	0.242323i	$-0.0779094\pi$
$19$	7.02945	+	2.28401i	1.61267	+	0.523987i	0.642471	+	0.766310i	$0.277909\pi$
$20$	−4.47141	+	0.0806220i	−0.999837	+	0.0180276i
$21$	3.65379	−	2.04730i	0.797322	−	0.446756i
$22$	−7.41382	+	2.02805i	−1.58063	+	0.432382i
$23$	0.603374	+	0.438377i	0.125812	+	0.0914079i	0.648912	−	0.760864i	$-0.275224\pi$
$23$	0.603374	+	0.438377i	0.125812	+	0.0914079i	−0.523100	+	0.852272i	$0.675224\pi$
$24$	0.270041	+	4.89153i	0.0551219	+	0.998480i
$25$	−4.59808	−	1.96410i	−0.919615	−	0.392821i
$26$	−0.278580	+	5.90511i	−0.0546341	+	1.15809i
$27$	−5.19228	−	0.200515i	−0.999255	−	0.0385890i
$28$	−4.71976	+	1.05482i	−0.891951	+	0.199342i
$29$	−3.66968	+	1.19235i	−0.681443	+	0.221414i	−0.629227	−	0.777222i	$-0.716628\pi$
$29$	−3.66968	+	1.19235i	−0.681443	+	0.221414i	−0.0522158	+	0.998636i	$0.516628\pi$
$30$	−1.96315	+	5.11332i	−0.358421	+	0.933560i
$31$	−0.927208	−	0.301268i	−0.166531	−	0.0541093i	0.224565	−	0.974459i	$-0.427904\pi$
$31$	−0.927208	−	0.301268i	−0.166531	−	0.0541093i	−0.391096	+	0.920350i	$0.627904\pi$
$32$	1.32104	−	5.50044i	0.233529	−	0.972350i
$33$	−1.10436	+	9.34863i	−0.192245	+	1.62739i
$34$	4.25548	−	2.79523i	0.729809	−	0.479377i
$35$	−5.29726	−	1.08400i	−0.895400	−	0.183230i
$36$	5.67731	+	1.94116i	0.946219	+	0.323527i
$37$	4.42936	−	3.21812i	0.728183	−	0.529056i	−0.160805	−	0.986986i	$-0.551409\pi$
$37$	4.42936	−	3.21812i	0.728183	−	0.529056i	0.888988	+	0.457930i	$0.151409\pi$
$38$	−8.73657	+	5.73864i	−1.41726	+	0.930930i
$39$	6.57591	+	3.02975i	1.05299	+	0.485148i
$40$	3.86484	−	5.00629i	0.611085	−	0.791565i
$41$	1.05987	+	1.45879i	0.165524	+	0.227824i	0.883719	−	0.468017i	$-0.155032\pi$
$41$	1.05987	+	1.45879i	0.165524	+	0.227824i	−0.718195	+	0.695842i	$0.755032\pi$
$42$	−0.971290	+	5.84293i	−0.149873	+	0.901583i
$43$			4.88416i			0.744827i	0.928067	+	0.372414i	$0.121470\pi$
$43$			4.88416i			0.744827i	−0.928067	+	0.372414i	$0.878530\pi$
$44$	4.31731	−	9.97578i	0.650859	−	1.50391i
$45$	4.90292	+	4.57836i	0.730884	+	0.682501i
$46$	−1.01736	+	0.278299i	−0.150001	+	0.0410330i
$47$	−2.13830	−	6.58101i	−0.311903	−	0.959940i	−0.977010	−	0.213192i	$-0.931614\pi$
$47$	−2.13830	−	6.58101i	−0.311903	−	0.959940i	0.665107	−	0.746748i	$-0.268386\pi$
$48$	−5.63747	−	4.02728i	−0.813698	−	0.581287i
$49$	1.15280			0.164686
$50$	6.23357	−	3.33805i	0.881560	−	0.472072i
$51$	−1.21789	−	6.11559i	−0.170538	−	0.856353i
$52$	−6.27102	−	5.52903i	−0.869634	−	0.766739i
$53$	−4.55991	+	1.48160i	−0.626351	+	0.203514i	−0.604958	−	0.796257i	$-0.706810\pi$
$53$	−4.55991	+	1.48160i	−0.626351	+	0.203514i	−0.0213931	+	0.999771i	$0.506810\pi$
$54$	4.81256	−	5.55331i	0.654906	−	0.755710i
$55$	8.96941	−	8.20023i	1.20944	−	1.10572i
$56$	3.00924	−	6.14183i	0.402127	−	0.820736i
$57$	2.50034	+	12.5554i	0.331179	+	1.66300i
$58$	1.92892	−	5.10448i	0.253280	−	0.670252i
$59$	−7.42456	+	5.39426i	−0.966596	+	0.702273i	−0.954673	−	0.297656i	$-0.903795\pi$
$59$	−7.42456	+	5.39426i	−0.966596	+	0.702273i	−0.0119226	+	0.999929i	$0.503795\pi$
$60$	−3.90756	−	6.68812i	−0.504464	−	0.863433i
$61$	−8.05374	−	5.85138i	−1.03118	−	0.749193i	−0.0626320	−	0.998037i	$-0.519949\pi$
$61$	−8.05374	−	5.85138i	−1.03118	−	0.749193i	−0.968544	+	0.248844i	$0.919949\pi$
$62$	1.15238	−	0.756946i	0.146353	−	0.0961322i
$63$	6.18700	+	3.78759i	0.779489	+	0.477192i
$64$	4.90260	+	6.32175i	0.612825	+	0.790218i
$65$	−3.86656	−	8.50998i	−0.479587	−	1.05553i
$66$	−9.34137	−	9.48535i	−1.14984	−	1.16757i
$67$	−1.52430	−	0.495274i	−0.186222	−	0.0605073i	0.214421	−	0.976741i	$-0.431213\pi$
$67$	−1.52430	−	0.495274i	−0.186222	−	0.0605073i	−0.400644	+	0.916234i	$0.631213\pi$
$68$	−0.677859	+	7.16836i	−0.0822025	+	0.869291i
$69$	−0.151546	+	1.28286i	−0.0182440	+	0.154439i
$70$	5.88047	−	4.88795i	0.702851	−	0.584222i
$71$	3.21134	+	9.88348i	0.381115	+	1.17295i	0.939259	+	0.343209i	$0.111514\pi$
$71$	3.21134	+	9.88348i	0.381115	+	1.17295i	−0.558144	+	0.829744i	$0.688486\pi$
$72$	−7.16256	+	4.54948i	−0.844116	+	0.536161i
$73$	3.45636	+	2.51119i	0.404536	+	0.293913i	0.771386	−	0.636367i	$-0.219564\pi$
$73$	3.45636	+	2.51119i	0.404536	+	0.293913i	−0.366850	+	0.930280i	$0.619564\pi$
$74$	−0.364870	+	7.73421i	−0.0424153	+	0.899084i
$75$	−0.925188	−	8.61069i	−0.106832	−	0.994277i
$76$	1.39165	−	14.7168i	0.159634	−	1.68813i
$77$	7.72484	−	10.6323i	0.880327	−	1.21167i
$78$	−9.15859	+	4.57865i	−1.03701	+	0.518430i
$79$	−8.43495	+	2.74068i	−0.949006	+	0.308351i	−0.742311	−	0.670055i	$-0.766271\pi$
$79$	−8.43495	+	2.74068i	−0.949006	+	0.308351i	−0.206694	+	0.978406i	$0.566271\pi$
$80$	2.10788	+	8.69234i	0.235668	+	0.971834i
$81$	−4.09309	−	8.01540i	−0.454788	−	0.890600i
$82$	−2.54722	−	0.120168i	−0.281293	−	0.0132703i
$83$	2.68916	−	8.27640i	0.295174	−	0.908453i	−0.687989	−	0.725721i	$-0.741506\pi$
$83$	2.68916	−	8.27640i	0.295174	−	0.908453i	0.983163	−	0.182731i	$-0.0584938\pi$
$84$	−5.58986	−	6.23858i	−0.609904	−	0.680684i
$85$	−3.97207	+	7.00205i	−0.430832	+	0.759479i
$86$	−5.39055	−	4.31880i	−0.581278	−	0.465708i
$87$	−4.90862	−	4.53544i	−0.526259	−	0.486251i
$88$	7.19250	+	13.5860i	0.766723	+	1.44827i
$89$	7.10249	−	9.77574i	0.752863	−	1.03623i	−0.244912	−	0.969545i	$-0.578759\pi$
$89$	7.10249	−	9.77574i	0.752863	−	1.03623i	0.997774	−	0.0666812i	$-0.0212411\pi$
$90$	−9.38843	+	1.36286i	−0.989627	+	0.143658i
$91$	−5.94140	−	8.17763i	−0.622828	−	0.857249i
$92$	0.592442	−	1.36892i	0.0617664	−	0.142720i
$93$	−0.329804	−	1.65610i	−0.0341990	−	0.171729i
$94$	9.15412	+	3.45923i	0.944175	+	0.356793i
$95$	8.15473	−	14.3753i	0.836657	−	1.47488i
$96$	9.42973	−	2.66086i	0.962418	−	0.271573i
$97$	0.0838452	+	0.258049i	0.00851319	+	0.0262009i	0.955223	−	0.295887i	$-0.0956153\pi$
$97$	0.0838452	+	0.258049i	0.00851319	+	0.0262009i	−0.946710	+	0.322088i	$0.895615\pi$
$98$	−1.01936	+	1.27232i	−0.102971	+	0.128524i
$99$	−15.0610	+	6.24635i	−1.51368	+	0.627782i
$100$	−1.82786	+	9.83153i	−0.182786	+	0.983153i
$101$			3.26886i			0.325263i	0.986687	+	0.162632i	$0.0519983\pi$
$101$			3.26886i			0.325263i	−0.986687	+	0.162632i	$0.948002\pi$
$102$	7.82656	+	4.06352i	0.774945	+	0.402349i
$103$	−12.9779	+	4.21677i	−1.27875	+	0.415490i	−0.868139	−	0.496321i	$-0.834684\pi$
$103$	−12.9779	+	4.21677i	−1.27875	+	0.415490i	−0.410609	+	0.911812i	$0.634684\pi$
$104$	11.6474	−	2.03218i	1.14212	−	0.199271i
$105$	−2.84700	−	8.92203i	−0.277839	−	0.870701i
$106$	2.39686	−	6.34278i	0.232804	−	0.616065i
$107$	−14.9106			−1.44146			−0.720731	−	0.693214i	$-0.756194\pi$
$107$	−14.9106			−1.44146			−0.720731	+	0.693214i	$0.756194\pi$
$108$	1.87360	+	10.2220i	0.180287	+	0.983614i
$109$	−0.319183	+	0.231900i	−0.0305722	+	0.0222120i	−0.602966	−	0.797767i	$-0.706015\pi$
$109$	−0.319183	+	0.231900i	−0.0305722	+	0.0222120i	0.572394	+	0.819979i	$0.306015\pi$
$110$	1.11927	+	17.1504i	0.106718	+	1.63522i
$111$	8.61278	+	3.96821i	0.817489	+	0.376646i
$112$	4.11770	+	8.75213i	0.389086	+	0.826998i
$113$	−0.985549	−	1.35649i	−0.0927127	−	0.127608i	0.760141	−	0.649758i	$-0.225130\pi$
$113$	−0.985549	−	1.35649i	−0.0927127	−	0.127608i	−0.852853	+	0.522150i	$0.825130\pi$
$114$	−16.0681	−	8.34247i	−1.50491	−	0.781344i
$115$	1.23082	−	1.12527i	0.114775	−	0.104932i
$116$	3.92807	+	6.64253i	0.364713	+	0.616744i
$117$	0.989517	+	12.5015i	0.0914808	+	1.15576i
$118$	0.611600	−	12.9642i	0.0563023	−	1.19345i
$119$	−2.69017	+	8.27948i	−0.246607	+	0.758979i
$120$	10.8368	+	1.60124i	0.989259	+	0.146173i
$121$	5.72881	+	17.6315i	0.520801	+	1.60286i
$122$	13.5795	−	3.71469i	1.22943	−	0.336312i
$123$	−1.30691	+	2.83657i	−0.117840	+	0.255765i
$124$	−0.183564	+	1.94119i	−0.0164845	+	0.174324i
$125$	−6.36397	+	9.19238i	−0.569210	+	0.822192i
$126$	−9.65112	+	3.47931i	−0.859790	+	0.309961i
$127$	−7.48532	+	10.3027i	−0.664215	+	0.914213i	−0.999612	−	0.0278639i	$-0.991129\pi$
$127$	−7.48532	+	10.3027i	−0.664215	+	0.914213i	0.335397	+	0.942077i	$0.391129\pi$
$128$	−11.3123	−	0.179074i	−0.999875	−	0.0158280i
$129$	−7.38005	+	4.13520i	−0.649777	+	0.364084i
$130$	12.8113	+	3.25747i	1.12362	+	0.285699i
$131$	2.50370	−	7.70560i	0.218749	−	0.673241i	−0.780117	−	0.625634i	$-0.784840\pi$
$131$	2.50370	−	7.70560i	0.218749	−	0.673241i	0.998866	−	0.0476075i	$-0.0151597\pi$
$132$	18.7289	−	1.92250i	1.63014	−	0.167332i
$133$	5.52295	−	16.9979i	0.478901	−	1.47391i
$134$	1.89448	−	1.24439i	0.163658	−	0.107499i
$135$	−2.76690	+	11.2847i	−0.238137	+	0.971232i
$136$	−7.31218	−	7.08673i	−0.627014	−	0.607682i
$137$	−0.670311	−	0.922604i	−0.0572685	−	0.0788234i	0.779422	−	0.626499i	$-0.215513\pi$
$137$	−0.670311	−	0.922604i	−0.0572685	−	0.0788234i	−0.836691	+	0.547676i	$0.815513\pi$
$138$	−1.28187	−	1.30162i	−0.109120	−	0.110802i
$139$	4.51555	−	6.21512i	0.383004	−	0.527159i	−0.573374	−	0.819294i	$-0.694366\pi$
$139$	4.51555	−	6.21512i	0.383004	−	0.527159i	0.956377	+	0.292135i	$0.0943656\pi$
$140$	0.194952	+	10.8123i	0.0164764	+	0.913807i
$141$	8.13363	−	8.80286i	0.684975	−	0.741334i
$142$	−13.7478	−	5.19513i	−1.15369	−	0.435966i
$143$	22.7192			1.89987
$144$	1.31230	−	11.9280i	0.109358	−	0.994002i
$145$	0.966975	+	8.57358i	0.0803029	+	0.711997i
$146$	−5.82782	+	1.59420i	−0.482314	+	0.131937i
$147$	0.976023	+	1.74190i	0.0805010	+	0.143670i
$148$	−8.21346	−	7.24164i	−0.675142	−	0.595259i
$149$		−	10.9006i		−	0.893009i	−0.894781	−	0.446504i	$-0.852669\pi$
$149$		−	10.9006i		−	0.893009i	0.894781	−	0.446504i	$-0.147331\pi$
$150$	10.3215	+	6.59286i	0.842750	+	0.538304i
$151$			15.6536i			1.27387i	0.770918	+	0.636934i	$0.219798\pi$
$151$			15.6536i			1.27387i	−0.770918	+	0.636934i	$0.780202\pi$
$152$	15.0120	+	14.5492i	1.21764	+	1.18009i
$153$	8.20963	−	7.01804i	0.663709	−	0.567375i
$154$	4.90403	+	17.9273i	0.395178	+	1.44463i
$155$	−1.07564	+	1.89615i	−0.0863971	+	0.152303i
$156$	3.04508	−	14.1568i	0.243801	−	1.13345i
$157$	−2.53522			−0.202333			−0.101166	−	0.994870i	$-0.532257\pi$
$157$	−2.53522			−0.202333			−0.101166	+	0.994870i	$0.532257\pi$
$158$	4.43373	−	11.7329i	0.352729	−	0.933421i
$159$	−6.09940	−	5.63569i	−0.483714	−	0.446940i
$160$	−11.4574	−	5.35975i	−0.905791	−	0.423725i
$161$	1.06004	−	1.45902i	0.0835427	−	0.114987i
$162$	12.4657	+	2.57012i	0.979400	+	0.201928i
$163$	4.10076	+	5.64421i	0.321196	+	0.442088i	0.938832	−	0.344376i	$-0.111909\pi$
$163$	4.10076	+	5.64421i	0.321196	+	0.442088i	−0.617636	+	0.786464i	$0.711909\pi$
$164$	2.38500	−	2.70506i	0.186237	−	0.211230i
$165$	19.9847	+	6.61017i	1.55581	+	0.514601i
$166$	6.75661	+	10.2863i	0.524415	+	0.798375i
$167$	−3.04199	+	9.36229i	−0.235396	+	0.724475i	0.761672	+	0.647963i	$0.224379\pi$
$167$	−3.04199	+	9.36229i	−0.235396	+	0.724475i	−0.997069	+	0.0765130i	$0.975621\pi$
$168$	11.8282	−	0.652986i	0.912566	−	0.0503790i
$169$	1.38254	−	4.25502i	0.106349	−	0.327309i
$170$	−4.21574	−	10.5754i	−0.323332	−	0.811098i
$171$	−16.8545	+	14.4081i	−1.28890	+	1.10182i
$172$	9.53314	−	2.13056i	0.726895	−	0.162454i
$173$	−4.28821	+	5.90221i	−0.326026	+	0.448737i	−0.940295	−	0.340360i	$-0.889451\pi$
$173$	−4.28821	+	5.90221i	−0.326026	+	0.448737i	0.614269	+	0.789097i	$0.289451\pi$
$174$	9.34610	−	1.40710i	0.708526	−	0.106672i
$175$	−4.74940	+	11.1186i	−0.359021	+	0.840487i
$176$	−21.3545	−	4.07512i	−1.60966	−	0.307173i
$177$	−14.4369	−	6.65157i	−1.08514	−	0.499963i
$178$	4.50894	+	16.4830i	0.337960	+	1.23546i
$179$	3.23376	+	9.95248i	0.241702	+	0.743883i	0.996161	+	0.0875361i	$0.0278993\pi$
$179$	3.23376	+	9.95248i	0.241702	+	0.743883i	−0.754459	+	0.656347i	$0.772101\pi$
$180$	6.79751	−	11.5669i	0.506657	−	0.862148i
$181$	−3.18442	+	9.80064i	−0.236696	+	0.728476i	0.760196	+	0.649694i	$0.225103\pi$
$181$	−3.18442	+	9.80064i	−0.236696	+	0.728476i	−0.996892	+	0.0787818i	$0.974897\pi$
$182$	14.2791	+	0.673634i	1.05844	+	0.0499331i
$183$	2.02281	−	17.1234i	0.149530	−	1.26580i
$184$	0.986989	+	1.86433i	0.0727618	+	0.137440i
$185$	−5.06421	−	11.1459i	−0.372328	−	0.819465i
$186$	2.11943	+	1.10040i	0.155404	+	0.0806852i
$187$	−11.5011	−	15.8299i	−0.841041	−	1.15759i
$188$	−11.9124	+	7.04440i	−0.868799	+	0.513766i
$189$	−0.484864	+	12.5554i	−0.0352687	+	0.913275i
$190$	8.65497	+	21.7115i	0.627897	+	1.57512i
$191$	1.96713	−	1.42920i	0.142336	−	0.103413i	−0.514338	−	0.857587i	$-0.671962\pi$
$191$	1.96713	−	1.42920i	0.142336	−	0.103413i	0.656675	+	0.754174i	$0.271962\pi$
$192$	−5.40146	+	12.7603i	−0.389817	+	0.920892i
$193$	−10.0809			−0.725641			−0.362820	−	0.931859i	$-0.618186\pi$
$193$	−10.0809			−0.725641			−0.362820	+	0.931859i	$0.618186\pi$
$194$	−0.358943	−	0.135640i	−0.0257706	−	0.00973842i
$195$	9.58509	−	13.0474i	0.686402	−	0.934347i
$196$	−0.502873	−	2.25009i	−0.0359195	−	0.160721i
$197$	−9.28825	+	3.01794i	−0.661761	+	0.215019i	−0.620593	−	0.784133i	$-0.713108\pi$
$197$	−9.28825	+	3.01794i	−0.661761	+	0.215019i	−0.0411680	+	0.999152i	$0.513108\pi$
$198$	6.42362	−	22.1458i	0.456506	−	1.57383i
$199$			3.38793i			0.240164i	0.992764	+	0.120082i	$0.0383157\pi$
$199$			3.38793i			0.240164i	−0.992764	+	0.120082i	$0.961684\pi$
$200$	−9.23458	−	10.7109i	−0.652983	−	0.757372i
$201$	−0.542185	−	2.72256i	−0.0382428	−	0.192035i
$202$	−3.60777	−	2.89047i	−0.253842	−	0.203373i
$203$	2.88322	+	8.87365i	0.202363	+	0.622808i
$204$	−11.4054	+	5.04487i	−0.798540	+	0.353211i
$205$	3.67085	−	1.66787i	0.256383	−	0.116489i
$206$	6.82167	−	18.0521i	0.475288	−	1.25775i
$207$	−2.06674	+	0.857154i	−0.143648	+	0.0595763i
$208$	−8.05630	+	14.6520i	−0.558604	+	1.01593i
$209$	23.6119	+	32.4990i	1.63327	+	2.24800i
$210$	12.3645	+	4.74709i	0.853232	+	0.327580i
$211$	3.99456	−	5.49804i	0.274997	−	0.378501i	−0.649072	−	0.760727i	$-0.724843\pi$
$211$	3.99456	−	5.49804i	0.274997	−	0.378501i	0.924069	+	0.382226i	$0.124843\pi$
$212$	4.88098	+	8.25394i	0.335227	+	0.566883i
$213$	−12.2152	+	13.2203i	−0.836973	+	0.905839i
$214$	13.1846	−	16.4565i	0.901283	−	1.12495i
$215$	10.6996	+	2.18951i	0.729706	+	0.149323i
$216$	−12.9386	−	6.97092i	−0.880357	−	0.474311i
$217$	−0.728496	+	2.24208i	−0.0494535	+	0.152202i
$218$	0.0262927	−	0.557332i	0.00178077	−	0.0377473i
$219$	−0.868112	+	7.34873i	−0.0586616	+	0.496581i
$220$	−19.9182	−	13.9298i	−1.34289	−	0.939149i
$221$	−14.3128	+	4.65052i	−0.962784	+	0.312828i
$222$	−11.9955	+	5.99688i	−0.805082	+	0.402484i
$223$	12.8992	−	17.7543i	0.863797	−	1.18891i	−0.116854	−	0.993149i	$-0.537281\pi$
$223$	12.8992	−	17.7543i	0.863797	−	1.18891i	0.980651	−	0.195765i	$-0.0627191\pi$
$224$	−13.3006	−	3.19441i	−0.888684	−	0.213435i
$225$	12.2276	−	8.68826i	0.815173	−	0.579217i
$226$	2.36860	+	0.111741i	0.157557	+	0.00743292i
$227$	−11.6050	−	8.43149i	−0.770248	−	0.559618i	0.131789	−	0.991278i	$-0.457928\pi$
$227$	−11.6050	−	8.43149i	−0.770248	−	0.559618i	−0.902036	+	0.431660i	$0.857928\pi$
$228$	23.4155	−	10.3572i	1.55073	−	0.685922i
$229$	−7.05514	−	21.7135i	−0.466217	−	1.43487i	−0.857445	−	0.514575i	$-0.827950\pi$
$229$	−7.05514	−	21.7135i	−0.466217	−	1.43487i	0.391228	−	0.920294i	$-0.372050\pi$
$230$	0.153592	+	2.35346i	0.0101275	+	0.155182i
$231$	22.6059	+	2.67046i	1.48736	+	0.175703i
$232$	−10.8046	−	1.53829i	−0.709358	−	0.100994i
$233$	−13.5636	−	4.40708i	−0.888580	−	0.288717i	−0.171065	−	0.985260i	$-0.554721\pi$
$233$	−13.5636	−	4.40708i	−0.888580	−	0.288717i	−0.717515	+	0.696543i	$0.754721\pi$
$234$	−14.6726	−	9.96226i	−0.959178	−	0.651253i
$235$	−15.3754	+	1.73412i	−1.00298	+	0.113122i
$236$	13.7675	+	12.1385i	0.896189	+	0.790152i
$237$	−11.2827	−	10.4249i	−0.732891	−	0.677173i
$238$	−6.75913	−	10.2902i	−0.438129	−	0.667013i
$239$	−9.77091	−	7.09898i	−0.632028	−	0.459195i	0.225074	−	0.974342i	$-0.427738\pi$
$239$	−9.77091	−	7.09898i	−0.632028	−	0.459195i	−0.857102	+	0.515147i	$0.827738\pi$
$240$	−11.3496	+	10.5445i	−0.732616	+	0.680642i
$241$	−18.3021	+	13.2972i	−1.17894	+	0.856550i	−0.992052	−	0.125832i	$-0.959840\pi$
$241$	−18.3021	+	13.2972i	−1.17894	+	0.856550i	−0.186888	+	0.982381i	$0.559840\pi$
$242$	−24.5252	−	9.26778i	−1.57654	−	0.595755i
$243$	8.64598	−	12.9710i	0.554640	−	0.832091i
$244$	−7.90782	+	18.2722i	−0.506246	+	1.16976i
$245$	0.516786	−	2.52540i	0.0330163	−	0.161342i
$246$	−1.97504	−	3.95064i	−0.125924	−	0.251883i
$247$	29.3844	−	9.54758i	1.86969	−	0.607498i
$248$	−1.98013	−	1.91908i	−0.125739	−	0.121862i
$249$	14.7826	−	2.94388i	0.936808	−	0.186561i
$250$	−4.51814	−	15.1521i	−0.285752	−	0.958303i
$251$	−22.4679			−1.41816			−0.709080	−	0.705128i	$-0.750889\pi$
$251$	−22.4679			−1.41816			−0.709080	+	0.705128i	$0.750889\pi$
$252$	4.69392	−	13.7283i	0.295689	−	0.864802i
$253$	1.25259	+	3.85507i	0.0787495	+	0.242366i
$254$	−4.75198	−	17.3715i	−0.298165	−	1.08998i
$255$	−13.9432	−	0.0735523i	−0.873157	−	0.00460602i
$256$	10.2005	−	12.3268i	0.637530	−	0.770425i
$257$		−	14.6794i		−	0.915675i	−0.889036	−	0.457837i	$-0.848624\pi$
$257$		−	14.6794i		−	0.915675i	0.889036	−	0.457837i	$-0.151376\pi$
$258$	1.96184	−	11.8017i	0.122139	−	0.734745i
$259$	−7.78174	−	10.7106i	−0.483534	−	0.665527i
$260$	−14.9235	+	11.2591i	−0.925517	+	0.698263i
$261$	2.69723	−	11.2570i	0.166954	−	0.696789i
$262$	6.29063	+	9.57693i	0.388636	+	0.591665i
$263$	−0.272509	+	0.197990i	−0.0168036	+	0.0122086i	−0.596155	−	0.802869i	$-0.703306\pi$
$263$	−0.272509	+	0.197990i	−0.0168036	+	0.0122086i	0.579352	+	0.815078i	$0.303306\pi$
$264$	−14.4391	+	22.3706i	−0.888664	+	1.37682i
$265$	1.20155	+	10.6534i	0.0738108	+	0.654435i
$266$	13.8766	+	21.1259i	0.850829	+	1.29531i
$267$	20.7847	+	2.45531i	1.27200	+	0.150263i
$268$	−0.301772	+	3.19124i	−0.0184337	+	0.194936i
$269$	4.55805	+	1.48100i	0.277909	+	0.0902981i	0.444655	−	0.895702i	$-0.353326\pi$
$269$	4.55805	+	1.48100i	0.277909	+	0.0902981i	−0.166746	+	0.986000i	$0.553326\pi$
$270$	−10.0081	−	13.0322i	−0.609072	−	0.793115i
$271$	1.31182	−	0.426235i	0.0796871	−	0.0258919i	−0.268902	−	0.963168i	$-0.586661\pi$
$271$	1.31182	−	0.426235i	0.0796871	−	0.0258919i	0.348589	+	0.937276i	$0.386661\pi$
$272$	14.2872	−	1.80390i	0.866291	−	0.109377i
$273$	7.32624	−	15.9012i	0.443404	−	0.962384i
$274$	1.61098	+	0.0759997i	0.0973228	+	0.00459131i
$275$	−13.9431	−	23.3251i	−0.840802	−	1.40656i
$276$	2.57006	−	0.263815i	0.154700	−	0.0158798i
$277$	16.6056	+	12.0647i	0.997736	+	0.724898i	0.961602	−	0.274449i	$-0.0884956\pi$
$277$	16.6056	+	12.0647i	0.997736	+	0.724898i	0.0361344	+	0.999347i	$0.488496\pi$
$278$	2.86665	+	10.4794i	0.171930	+	0.628513i
$279$	2.22316	−	1.90048i	0.133097	−	0.113779i
$280$	−12.1057	−	9.34557i	−0.723455	−	0.558505i
$281$	29.4467	+	9.56781i	1.75664	+	0.570768i	0.996844	−	0.0793905i	$-0.0252974\pi$
$281$	29.4467	+	9.56781i	1.75664	+	0.570768i	0.759799	+	0.650158i	$0.225297\pi$
$282$	2.52342	+	16.7608i	0.150267	+	0.998092i
$283$	17.3687	+	5.64343i	1.03246	+	0.335467i	0.775763	−	0.631025i	$-0.217365\pi$
$283$	17.3687	+	5.64343i	1.03246	+	0.335467i	0.256698	+	0.966492i	$0.417365\pi$
$284$	17.8902	−	10.5794i	1.06159	−	0.627772i
$285$	28.6256	+	0.151004i	1.69563	+	0.00894470i
$286$	−20.0893	+	25.0747i	−1.18791	+	1.48270i
$287$	3.52749	−	2.56287i	0.208221	−	0.151282i
$288$	12.0043	+	11.9957i	0.707362	+	0.706851i
$289$	−3.26745	−	2.37394i	−0.192203	−	0.139643i
$290$	−10.3175	−	6.51392i	−0.605866	−	0.382510i
$291$	−0.318929	+	0.345170i	−0.0186959	+	0.0202342i
$292$	3.39373	−	7.84172i	0.198603	−	0.458902i
$293$			0.678902i			0.0396619i	0.999803	+	0.0198309i	$0.00631280\pi$
$293$			0.678902i			0.0396619i	−0.999803	+	0.0198309i	$0.993687\pi$
$294$	−2.78555	−	0.463051i	−0.162456	−	0.0270057i
$295$	8.48871	+	18.6830i	0.494232	+	1.08776i
$296$	15.2552	−	2.66164i	0.886689	−	0.154705i
$297$	−22.1898	−	17.4689i	−1.28758	−	1.01365i
$298$	12.0307	+	9.63878i	0.696922	+	0.558359i
$299$	3.11763			0.180297
$300$	−16.4032	+	5.56198i	−0.947038	+	0.321121i
$301$	11.8104			0.680739
$302$	−17.2765	−	13.8416i	−0.994152	−	0.796494i
$303$	−4.93930	+	2.76759i	−0.283756	+	0.158994i
$304$	−29.3319	+	3.70343i	−1.68230	+	0.212406i
$305$	−16.4288	+	15.0200i	−0.940713	+	0.860042i
$306$	0.486344	+	15.2665i	0.0278024	+	0.872726i
$307$			11.8120i			0.674144i	0.941479	+	0.337072i	$0.109437\pi$
$307$			11.8120i			0.674144i	−0.941479	+	0.337072i	$0.890563\pi$
$308$	−24.1224	−	10.4397i	−1.37450	−	0.594856i
$309$	−17.3594	−	16.0396i	−0.987541	−	0.912464i
$310$	−1.14162	−	2.86382i	−0.0648396	−	0.162654i
$311$	25.2760	+	18.3641i	1.43327	+	1.04133i	0.989396	+	0.145242i	$0.0463961\pi$
$311$	25.2760	+	18.3641i	1.43327	+	1.04133i	0.443874	+	0.896089i	$0.353604\pi$
$312$	12.9320	+	15.8789i	0.732130	+	0.898965i
$313$	24.0978	−	17.5081i	1.36209	−	0.989616i	0.363781	−	0.931484i	$-0.381486\pi$
$313$	24.0978	−	17.5081i	1.36209	−	0.989616i	0.998309	−	0.0581319i	$-0.0185144\pi$
$314$	2.24176	−	2.79807i	0.126510	−	0.157904i
$315$	11.0709	−	11.8557i	0.623776	−	0.667996i
$316$	9.02888	+	15.2682i	0.507914	+	0.858903i
$317$	22.8011	+	7.40851i	1.28064	+	0.416104i	0.868804	−	0.495157i	$-0.164889\pi$
$317$	22.8011	+	7.40851i	1.28064	+	0.416104i	0.411831	+	0.911260i	$0.364889\pi$
$318$	11.6134	−	1.74844i	0.651245	−	0.0980479i
$319$	−19.9446	−	6.48039i	−1.11668	−	0.362832i
$320$	16.0466	−	7.90602i	0.897035	−	0.441960i
$321$	−12.6241	−	22.5302i	−0.704611	−	1.25751i
$322$	0.672954	+	2.46007i	0.0375023	+	0.137095i
$323$	−21.5276	−	15.6407i	−1.19783	−	0.870273i
$324$	−13.8594	+	11.4856i	−0.769964	+	0.638087i
$325$	−20.3759	+	4.65543i	−1.13025	+	0.258237i
$326$	−9.85547	−	0.464943i	−0.545844	−	0.0257508i
$327$	−0.620642	−	0.285952i	−0.0343216	−	0.0158132i
$328$	0.876597	+	5.02421i	0.0484020	+	0.277415i
$329$	−15.9135	+	5.17062i	−0.877342	+	0.285066i
$330$	−24.9669	+	16.2117i	−1.37438	+	0.892424i
$331$	16.9808	+	5.51739i	0.933347	+	0.303263i	0.735931	−	0.677057i	$-0.236745\pi$
$331$	16.9808	+	5.51739i	0.933347	+	0.303263i	0.197417	+	0.980320i	$0.436745\pi$
$332$	−17.3273	−	1.63852i	−0.950961	−	0.0899254i
$333$	1.29602	+	16.3738i	0.0710213	+	0.897277i
$334$	−7.64310	−	11.6359i	−0.418212	−	0.636691i
$335$	−1.76830	+	3.11720i	−0.0966128	+	0.170311i
$336$	−9.73835	+	13.6320i	−0.531271	+	0.743684i
$337$	2.89131	−	2.10066i	0.157500	−	0.114430i	−0.506244	−	0.862390i	$-0.668967\pi$
$337$	2.89131	−	2.10066i	0.157500	−	0.114430i	0.663744	+	0.747960i	$0.268967\pi$
$338$	3.47367	+	5.28836i	0.188943	+	0.287649i
$339$	1.21526	−	2.63766i	0.0660041	−	0.143258i
$340$	15.3996	+	4.69846i	0.835163	+	0.254810i
$341$	−3.11448	−	4.28672i	−0.168659	−	0.232139i
$342$	−0.998471	−	31.3423i	−0.0539911	−	1.69480i
$343$		−	19.7143i		−	1.06447i
$344$	−6.07818	+	12.4055i	−0.327713	+	0.668858i
$345$	2.74239	+	0.907079i	0.147646	+	0.0488355i
$346$	−2.72232	−	9.95182i	−0.146353	−	0.535013i
$347$	4.86918	+	14.9858i	0.261392	+	0.804480i	0.992503	+	0.122222i	$0.0390020\pi$
$347$	4.86918	+	14.9858i	0.261392	+	0.804480i	−0.731111	+	0.682258i	$0.760998\pi$
$348$	−6.71127	+	11.5593i	−0.359762	+	0.619645i
$349$	−12.0965			−0.647511			−0.323755	−	0.946141i	$-0.604945\pi$
$349$	−12.0965			−0.647511			−0.323755	+	0.946141i	$0.604945\pi$
$350$	−8.07174	−	15.0734i	−0.431453	−	0.805706i
$351$	−18.0522	+	12.0796i	−0.963553	+	0.644762i
$352$	23.3803	−	19.9651i	1.24617	−	1.06415i
$353$	12.1828	−	3.95842i	0.648423	−	0.210685i	0.0337045	−	0.999432i	$-0.489270\pi$
$353$	12.1828	−	3.95842i	0.648423	−	0.210685i	0.614719	+	0.788746i	$0.289270\pi$
$354$	20.1069	−	10.0521i	1.06867	−	0.534261i
$355$	23.0910	−	2.60433i	1.22555	−	0.138224i
$356$	−22.1790	−	9.59862i	−1.17549	−	0.508726i
$357$	−14.7881	+	2.94497i	−0.782669	+	0.155865i
$358$	−13.8438	−	5.23140i	−0.731667	−	0.276488i
$359$	10.9861	−	7.98186i	0.579824	−	0.421267i	−0.258837	−	0.965921i	$-0.583339\pi$
$359$	10.9861	−	7.98186i	0.579824	−	0.421267i	0.838661	+	0.544654i	$0.183339\pi$
$360$	6.75551	+	17.7303i	0.356047	+	0.934468i
$361$	28.8252	+	20.9427i	1.51711	+	1.10225i
$362$	−8.00096	−	12.1808i	−0.420521	−	0.640206i
$363$	−21.7912	+	23.5841i	−1.14374	+	1.23785i
$364$	−13.3698	+	15.1640i	−0.700765	+	0.794807i
$365$	7.05064	−	6.44600i	0.369047	−	0.337399i
$366$	17.1101	+	17.3739i	0.894362	+	0.908147i
$367$	32.4074	+	10.5298i	1.69165	+	0.549651i	0.987114	−	0.160017i	$-0.0511550\pi$
$367$	32.4074	+	10.5298i	1.69165	+	0.549651i	0.704536	+	0.709668i	$0.251155\pi$
$368$	−2.93037	−	0.559207i	−0.152756	−	0.0291507i
$369$	−5.39261	+	0.426836i	−0.280728	+	0.0222202i
$370$	16.7795	+	4.26646i	0.872327	+	0.221803i
$371$	3.58266	+	11.0263i	0.186003	+	0.572457i
$372$	−3.08858	+	1.36615i	−0.160136	+	0.0708315i
$373$	−15.2003	−	11.0437i	−0.787043	−	0.571820i	0.120041	−	0.992769i	$-0.461697\pi$
$373$	−15.2003	−	11.0437i	−0.787043	−	0.571820i	−0.907084	+	0.420949i	$0.861697\pi$
$374$	27.6409	+	1.30399i	1.42928	+	0.0674276i
$375$	−19.2779	−	1.83329i	−0.995509	−	0.0946706i
$376$	2.75870	−	19.3764i	0.142269	−	0.999263i
$377$	−9.48062	+	13.0490i	−0.488277	+	0.672055i
$378$	−13.4285	−	11.6372i	−0.690685	−	0.598555i
$379$	4.26825	−	1.38684i	0.219245	−	0.0712370i	−0.197335	−	0.980336i	$-0.563229\pi$
$379$	4.26825	−	1.38684i	0.219245	−	0.0712370i	0.416580	+	0.909099i	$0.363229\pi$
$380$	−31.6157	−	9.64600i	−1.62185	−	0.494829i
$381$	−21.9050	−	2.58766i	−1.12223	−	0.132570i
$382$	−0.162042	+	3.43484i	−0.00829081	+	0.175742i
$383$	−5.88153	+	18.1015i	−0.300532	+	0.924943i	0.680774	+	0.732493i	$0.261643\pi$
$383$	−5.88153	+	18.1015i	−0.300532	+	0.924943i	−0.981307	+	0.192450i	$0.938357\pi$
$384$	−9.30702	−	17.2447i	−0.474947	−	0.880014i
$385$	−19.8290	−	21.6889i	−1.01058	−	1.10537i
$386$	8.91401	−	11.1261i	0.453711	−	0.566304i
$387$	−12.4967	−	7.65031i	−0.635244	−	0.388887i
$388$	0.467098	−	0.276219i	0.0237133	−	0.0140229i
$389$	15.3395	−	21.1130i	0.777744	−	1.07047i	−0.217784	−	0.975997i	$-0.569883\pi$
$389$	15.3395	−	21.1130i	0.777744	−	1.07047i	0.995527	−	0.0944751i	$-0.0301173\pi$
$390$	5.92463	+	22.1160i	0.300006	+	1.11989i
$391$	−1.57823	−	2.17225i	−0.0798146	−	0.109855i
$392$	2.92804	+	1.43462i	0.147888	+	0.0724593i
$393$	13.7631	−	2.74085i	0.694255	−	0.138257i
$394$	4.88226	−	12.9199i	0.245965	−	0.650893i
$395$	2.22264	+	19.7068i	0.111833	+	0.991557i
$396$	18.7618	+	26.6719i	0.942817	+	1.34032i
$397$	6.41425	+	19.7410i	0.321922	+	0.990774i	0.972811	+	0.231601i	$0.0743965\pi$
$397$	6.41425	+	19.7410i	0.321922	+	0.990774i	−0.650889	+	0.759173i	$0.725604\pi$
$398$	−3.73919	−	2.99576i	−0.187429	−	0.150164i
$399$	30.3602	−	6.04608i	1.51991	−	0.302682i
$400$	19.9870	−	0.720988i	0.999350	−	0.0360494i
$401$			6.86962i			0.343052i	0.985180	+	0.171526i	$0.0548698\pi$
$401$			6.86962i			0.343052i	−0.985180	+	0.171526i	$0.945130\pi$
$402$	3.48426	+	1.80902i	0.173779	+	0.0902255i
$403$	−3.87590	+	1.25936i	−0.193073	+	0.0627331i
$404$	6.38032	−	1.42594i	0.317433	−	0.0709431i
$405$	−19.3940	+	5.37340i	−0.963695	+	0.267007i
$406$	−12.3431	−	4.66433i	−0.612580	−	0.231487i
$407$	29.7564			1.47497
$408$	4.51728	−	17.0489i	0.223639	−	0.844044i
$409$	−6.98257	+	5.07313i	−0.345266	+	0.250850i	−0.746880	−	0.664959i	$-0.768449\pi$
$409$	−6.98257	+	5.07313i	−0.345266	+	0.250850i	0.401614	+	0.915809i	$0.368449\pi$
$410$	−1.40514	+	5.52625i	−0.0693948	+	0.272922i
$411$	0.826549	−	1.79398i	0.0407707	−	0.0884905i
$412$	13.8917	+	23.4914i	0.684394	+	1.15734i
$413$	13.0439	+	17.9533i	0.641846	+	0.883425i
$414$	0.881479	−	3.03895i	0.0433223	−	0.149356i
$415$	−16.9253	−	9.60129i	−0.830832	−	0.471309i
$416$	−9.04733	−	21.8475i	−0.443582	−	1.07116i
$417$	13.2143	+	1.56101i	0.647105	+	0.0764431i
$418$	−56.7471	−	2.67711i	−2.77559	−	0.130942i
$419$	6.32764	−	19.4745i	0.309125	−	0.951390i	−0.668980	−	0.743280i	$-0.733269\pi$
$419$	6.32764	−	19.4745i	0.309125	−	0.951390i	0.978106	−	0.208110i	$-0.0667311\pi$
$420$	−16.1725	+	9.44887i	−0.789139	+	0.461058i
$421$	−4.72590	−	14.5448i	−0.230326	−	0.708871i	−0.997707	−	0.0676794i	$-0.978440\pi$
$421$	−4.72590	−	14.5448i	−0.230326	−	0.708871i	0.767381	−	0.641191i	$-0.221560\pi$
$422$	2.53590	+	9.27033i	0.123446	+	0.451273i
$423$	20.1877	+	4.83707i	0.981557	+	0.235187i
$424$	−13.4257	−	1.91147i	−0.652010	−	0.0928291i
$425$	13.5586	+	11.8404i	0.657686	+	0.574346i
$426$	−3.78971	−	25.1717i	−0.183612	−	1.21957i
$427$	−14.1492	+	19.4747i	−0.684729	+	0.942448i
$428$	6.50429	+	29.1032i	0.314397	+	1.40676i
$429$	19.2353	+	34.3291i	0.928689	+	1.65742i
$430$	−11.8776	+	9.87285i	−0.572788	+	0.476111i
$431$	6.98814	−	21.5073i	0.336607	−	1.03597i	−0.629318	−	0.777148i	$-0.716666\pi$
$431$	6.98814	−	21.5073i	0.336607	−	1.03597i	0.965925	−	0.258822i	$-0.0833342\pi$
$432$	19.1345	−	8.11602i	0.920610	−	0.390482i
$433$	0.215800	−	0.664163i	0.0103707	−	0.0319176i	−0.945737	−	0.324932i	$-0.894658\pi$
$433$	0.215800	−	0.664163i	0.0103707	−	0.0319176i	0.956108	+	0.293015i	$0.0946585\pi$
$434$	−1.83037	−	2.78658i	−0.0878605	−	0.133760i
$435$	−12.1361	+	8.71998i	−0.581883	+	0.418091i
$436$	0.591867	+	0.521837i	0.0283453	+	0.0249915i
$437$	3.24013	+	4.45966i	0.154997	+	0.213334i
$438$	−7.34302	−	7.45620i	−0.350863	−	0.356271i
$439$	−7.33583	+	10.0969i	−0.350120	+	0.481899i	−0.947363	−	0.320161i	$-0.896263\pi$
$439$	−7.33583	+	10.0969i	−0.350120	+	0.481899i	0.597243	+	0.802060i	$0.296263\pi$
$440$	32.9867	−	9.66597i	1.57258	−	0.460807i
$441$	−1.80569	+	2.94958i	−0.0859852	+	0.140456i
$442$	7.52337	−	19.9090i	0.357850	−	0.946973i
$443$	3.23949			0.153913			0.0769564	−	0.997034i	$-0.475480\pi$
$443$	3.23949			0.153913			0.0769564	+	0.997034i	$0.475480\pi$
$444$	3.98829	−	18.5419i	0.189276	−	0.879958i
$445$	−18.2315	−	19.9416i	−0.864255	−	0.945321i
$446$	8.18895	+	29.9358i	0.387758	+	1.41750i
$447$	16.4709	−	9.22902i	0.779049	−	0.436517i
$448$	15.2866	−	11.8550i	0.722224	−	0.560095i
$449$		−	2.23326i		−	0.105394i	−0.998611	−	0.0526971i	$-0.983218\pi$
$449$		−	2.23326i		−	0.105394i	0.998611	−	0.0526971i	$-0.0167818\pi$
$450$	−1.22314	+	21.1779i	−0.0576593	+	0.998336i
$451$			9.80011i			0.461469i
$452$	−2.21775	+	2.51537i	−0.104314	+	0.118313i
$453$	−23.6528	+	13.2532i	−1.11131	+	0.622688i
$454$	19.5673	−	5.35264i	0.918339	−	0.251212i
$455$	−20.5780	+	9.34971i	−0.964710	+	0.438321i
$456$	−9.27405	+	35.0016i	−0.434297	+	1.63910i
$457$	16.6767			0.780103			0.390051	−	0.920793i	$-0.372457\pi$
$457$	16.6767			0.780103			0.390051	+	0.920793i	$0.372457\pi$
$458$	30.2032	+	11.4134i	1.41130	+	0.533315i
$459$	17.5551	+	6.46304i	0.819402	+	0.301669i
$460$	−2.73328	−	1.91152i	−0.127440	−	0.0891250i
$461$	−18.0344	+	24.8222i	−0.839946	+	1.15609i	0.146044	+	0.989278i	$0.453346\pi$
$461$	−18.0344	+	24.8222i	−0.839946	+	1.15609i	−0.985989	+	0.166808i	$0.946654\pi$
$462$	−22.9365	+	22.5883i	−1.06710	+	1.05091i
$463$	−11.9903	−	16.5033i	−0.557238	−	0.766972i	0.433734	−	0.901041i	$-0.357196\pi$
$463$	−11.9903	−	16.5033i	−0.557238	−	0.766972i	−0.990972	+	0.134069i	$0.957196\pi$
$464$	11.2517	−	10.5646i	0.522348	−	0.490450i
$465$	−3.77581	−	0.0199179i	−0.175099	−	0.000923671i
$466$	16.8575	−	11.0729i	0.780911	−	0.512943i
$467$	8.04361	−	24.7557i	0.372214	−	1.14556i	−0.573126	−	0.819468i	$-0.694269\pi$
$467$	8.04361	−	24.7557i	0.372214	−	1.14556i	0.945339	−	0.326088i	$-0.105731\pi$
$468$	23.9693	−	7.38477i	1.10798	−	0.341361i
$469$	−1.19762	+	3.68590i	−0.0553010	+	0.170199i
$470$	11.6817	−	18.5029i	0.538838	−	0.853476i
$471$	−2.14646	−	3.83077i	−0.0989036	−	0.176512i
$472$	−25.5709	+	4.46148i	−1.17700	+	0.205356i
$473$	−15.6029	+	21.4755i	−0.717422	+	0.987446i
$474$	21.4825	−	3.23428i	0.986723	−	0.148556i
$475$	−27.8359	−	24.3086i	−1.27720	−	1.11536i
$476$	17.3338	+	1.63913i	0.794493	+	0.0751294i
$477$	3.35155	−	13.9878i	0.153457	−	0.640457i
$478$	16.4749	−	4.50672i	0.753544	−	0.206132i
$479$	−3.27797	−	10.0886i	−0.149774	−	0.460958i	0.847820	−	0.530284i	$-0.177915\pi$
$479$	−3.27797	−	10.0886i	−0.149774	−	0.460958i	−0.997594	+	0.0693268i	$0.977915\pi$
$480$	−1.60183	−	21.8503i	−0.0731132	−	0.997324i
$481$	7.07232	−	21.7664i	0.322470	−	0.992461i
$482$	1.50764	−	31.9576i	0.0686709	−	1.45563i
$483$	3.10209	+	0.366453i	0.141150	+	0.0166742i
$484$	31.9150	−	18.8730i	1.45068	−	0.857862i
$485$	0.602887	−	0.0679970i	0.0273757	−	0.00308758i
$486$	6.67068	+	21.0120i	0.302588	+	0.953121i
$487$	−17.0030	−	23.4026i	−0.770480	−	1.06047i	−0.996269	−	0.0862987i	$-0.972496\pi$
$487$	−17.0030	−	23.4026i	−0.770480	−	1.06047i	0.225789	−	0.974176i	$-0.427504\pi$
$488$	−13.1742	−	24.8848i	−0.596367	−	1.12648i
$489$	−5.05657	+	10.9750i	−0.228666	+	0.496307i
$490$	2.33027	+	2.80344i	0.105271	+	0.126647i
$491$	−0.524845	+	0.381322i	−0.0236859	+	0.0172088i	−0.599565	−	0.800326i	$-0.704660\pi$
$491$	−0.524845	+	0.381322i	−0.0236859	+	0.0172088i	0.575879	+	0.817535i	$0.304660\pi$
$492$	6.10666	+	1.31352i	0.275309	+	0.0592181i
$493$	13.8914			0.625635
$494$	−15.4456	+	40.8734i	−0.694930	+	1.83898i
$495$	6.93205	+	35.7938i	0.311573	+	1.60881i
$496$	3.86898	−	0.488495i	0.173722	−	0.0219341i
$497$	23.8992	−	7.76533i	1.07203	−	0.348323i
$498$	−9.82234	+	18.9184i	−0.440149	+	0.847752i
$499$		−	10.1823i		−	0.455824i	−0.973682	−	0.227912i	$-0.926810\pi$
$499$		−	10.1823i		−	0.455824i	0.973682	−	0.227912i	$-0.0731899\pi$
$500$	20.7182	+	8.41160i	0.926547	+	0.376178i
$501$	−16.7221	+	3.33012i	−0.747088	+	0.148779i
$502$	19.8671	−	24.7973i	0.886713	−	1.10676i
$503$	2.00477	+	6.17005i	0.0893883	+	0.275109i	0.985751	−	0.168213i	$-0.0537997\pi$
$503$	2.00477	+	6.17005i	0.0893883	+	0.275109i	−0.896362	+	0.443322i	$0.853800\pi$
$504$	11.0011	+	17.3198i	0.490027	+	0.771484i
$505$	7.16099	+	1.46539i	0.318660	+	0.0652090i
$506$	−5.36236	−	2.02637i	−0.238386	−	0.0900832i
$507$	7.59994	−	1.51349i	0.337525	−	0.0672164i
$508$	23.3745	+	10.1160i	1.03707	+	0.448825i
$509$	−3.27693	−	4.51030i	−0.145247	−	0.199916i	0.730195	−	0.683239i	$-0.239429\pi$
$509$	−3.27693	−	4.51030i	−0.145247	−	0.199916i	−0.875442	+	0.483324i	$0.839429\pi$
$510$	12.4104	−	15.3238i	0.549541	−	0.678549i
$511$	6.07231	−	8.35781i	0.268623	−	0.369728i
$512$	4.58511	+	22.1580i	0.202635	+	0.979254i
$513$	−36.0409	−	13.2687i	−1.59125	−	0.585828i
$514$	16.2013	+	12.9802i	0.714610	+	0.572531i
$515$	3.41972	+	30.3206i	0.150691	+	1.33608i
$516$	11.2906	+	12.6009i	0.497041	+	0.554723i
$517$	11.6216	−	35.7676i	0.511117	−	1.57306i
$518$	18.7021	+	0.882291i	0.821722	+	0.0387657i
$519$	−12.5490	−	1.48242i	−0.550839	−	0.0650711i
$520$	0.769564	−	26.4266i	0.0337476	−	1.15888i
$521$	38.4192	−	12.4831i	1.68317	−	0.546896i	0.697651	−	0.716438i	$-0.254229\pi$
$521$	38.4192	−	12.4831i	1.68317	−	0.546896i	0.985523	+	0.169542i	$0.0542288\pi$
$522$	10.0391	+	12.9308i	0.439398	+	0.565966i
$523$	−12.6433	+	17.4020i	−0.552851	+	0.760934i	−0.990396	−	0.138262i	$-0.955848\pi$
$523$	−12.6433	+	17.4020i	−0.552851	+	0.760934i	0.437545	+	0.899197i	$0.355848\pi$
$524$	−16.1323	−	1.52552i	−0.704744	−	0.0666425i
$525$	−20.8215	+	2.23720i	−0.908725	+	0.0976392i
$526$	0.0224480	−	0.475834i	0.000978780	−	0.0207474i
$527$	2.83956	+	2.06306i	0.123693	+	0.0898684i
$528$	−11.9223	−	35.7173i	−0.518852	−	1.55439i
$529$	−6.93550	−	21.3453i	−0.301544	−	0.928056i
$530$	−12.8205	−	8.09413i	−0.556885	−	0.351586i
$531$	−2.17240	−	27.4460i	−0.0942742	−	1.19105i
$532$	−35.5866	−	3.36516i	−1.54287	−	0.145898i
$533$	7.16864	+	2.32923i	0.310508	+	0.100890i
$534$	−21.0886	+	20.7685i	−0.912595	+	0.898743i
$535$	−6.68425	+	32.6642i	−0.288985	+	1.41220i
$536$	−3.25527	−	3.15490i	−0.140606	−	0.136271i
$537$	−12.3005	+	13.3126i	−0.530806	+	0.574480i
$538$	−5.66498	+	3.72106i	−0.244235	+	0.160426i
$539$	5.06883	+	3.68272i	0.218330	+	0.158626i
$540$	23.2330	+	0.477970i	0.999788	+	0.0205686i
$541$	14.1460	−	10.2777i	0.608185	−	0.441873i	−0.240589	−	0.970627i	$-0.577341\pi$
$541$	14.1460	−	10.2777i	0.608185	−	0.441873i	0.848775	+	0.528754i	$0.177341\pi$
$542$	−0.689540	+	1.82472i	−0.0296183	+	0.0783785i
$543$	−17.5051	+	3.48604i	−0.751214	+	0.149600i
$544$	−10.6425	+	17.3636i	−0.456294	+	0.744460i
$545$	0.364930	+	0.803182i	0.0156319	+	0.0344045i
$546$	11.0716	+	22.1464i	0.473822	+	0.947778i
$547$	−12.7002	+	4.12653i	−0.543020	+	0.176438i	−0.567667	−	0.823258i	$-0.692154\pi$
$547$	−12.7002	+	4.12653i	−0.543020	+	0.176438i	0.0246471	+	0.999696i	$0.492154\pi$
$548$	−1.50838	+	1.71080i	−0.0644348	+	0.0730819i
$549$	27.5865	−	11.4412i	1.17736	−	0.488296i
$550$	38.0726	+	5.23636i	1.62342	+	0.223279i
$551$	−28.5192			−1.21496
$552$	−1.98140	+	3.06980i	−0.0843339	+	0.130659i
$553$	6.62724	+	20.3965i	0.281819	+	0.867349i
$554$	−27.9990	+	7.65915i	−1.18956	+	0.325406i
$555$	12.5541	−	17.0889i	0.532890	−	0.725382i
$556$	−14.1007	−	6.10251i	−0.598004	−	0.258804i
$557$			6.72945i			0.285136i	0.989785	+	0.142568i	$0.0455360\pi$
$557$			6.72945i			0.285136i	−0.989785	+	0.142568i	$0.954464\pi$
$558$	0.131702	+	4.13415i	0.00557537	+	0.175013i
$559$	12.0006	+	16.5175i	0.507573	+	0.698614i
$560$	21.0189	−	5.09705i	0.888213	−	0.215390i
$561$	14.1818	−	30.7808i	0.598755	−	1.29956i
$562$	−36.5979	+	24.0394i	−1.54379	+	1.01404i
$563$	−8.99572	+	6.53577i	−0.379124	+	0.275450i	−0.760984	−	0.648770i	$-0.775284\pi$
$563$	−8.99572	+	6.53577i	−0.379124	+	0.275450i	0.381860	+	0.924220i	$0.375284\pi$
$564$	−20.7299	−	12.0356i	−0.872886	−	0.506792i
$565$	−3.41344	+	1.55091i	−0.143604	+	0.0652475i
$566$	−21.5867	+	14.1793i	−0.907357	+	0.596000i
$567$	−19.3820	+	9.89750i	−0.813968	+	0.415656i
$568$	−4.14306	+	29.0999i	−0.173839	+	1.22100i
$569$	−9.78313	−	3.17873i	−0.410130	−	0.133259i	0.0966832	−	0.995315i	$-0.469177\pi$
$569$	−9.78313	−	3.17873i	−0.410130	−	0.133259i	−0.506813	+	0.862056i	$0.669177\pi$
$570$	−25.4787	+	31.4600i	−1.06719	+	1.31771i
$571$	−44.4449	+	14.4410i	−1.85996	+	0.604338i	−0.865286	+	0.501279i	$0.832863\pi$
$571$	−44.4449	+	14.4410i	−1.85996	+	0.604338i	−0.994675	+	0.103059i	$0.967137\pi$
$572$	−9.91054	−	44.3444i	−0.414381	−	1.85413i
$573$	3.82502	+	1.76232i	0.159793	+	0.0736221i
$574$	−0.290578	+	6.15943i	−0.0121285	+	0.257090i
$575$	−1.91334	−	3.20078i	−0.0797919	−	0.133482i
$576$	−23.8542	+	2.64183i	−0.993923	+	0.110076i
$577$	37.2787	+	27.0846i	1.55193	+	1.12755i	0.942254	+	0.334899i	$0.108702\pi$
$577$	37.2787	+	27.0846i	1.55193	+	1.12755i	0.609681	+	0.792647i	$0.291298\pi$
$578$	5.50929	−	1.50707i	0.229156	−	0.0626859i
$579$	−8.53506	−	15.2325i	−0.354705	−	0.633039i
$580$	16.3125	−	5.62735i	0.677340	−	0.233663i
$581$	−20.0131	−	6.50267i	−0.830285	−	0.269776i
$582$	−0.0989460	−	0.657211i	−0.00410144	−	0.0272423i
$583$	−24.7829	−	8.05246i	−1.02640	−	0.333499i
$584$	5.65385	+	10.6796i	0.233958	+	0.441925i
$585$	27.8302	+	3.43656i	1.15064	+	0.142084i
$586$	−0.749291	−	0.600316i	−0.0309529	−	0.0247988i
$587$	1.58889	−	1.15440i	0.0655807	−	0.0476472i	−0.554512	−	0.832176i	$-0.687095\pi$
$587$	1.58889	−	1.15440i	0.0655807	−	0.0476472i	0.620093	+	0.784529i	$0.287095\pi$
$588$	2.97417	−	2.66490i	0.122653	−	0.109899i
$589$	−5.82966	−	4.23550i	−0.240207	−	0.174521i
$590$	−28.1261	−	7.15151i	−1.15793	−	0.294423i
$591$	−12.4241	−	11.4796i	−0.511059	−	0.472206i
$592$	−10.5517	+	19.1904i	−0.433673	+	0.788720i
$593$		−	12.7427i		−	0.523281i	−0.965165	−	0.261640i	$-0.915737\pi$
$593$		−	12.7427i		−	0.523281i	0.965165	−	0.261640i	$-0.0842634\pi$
$594$	38.9013	−	9.04365i	1.59614	−	0.371065i
$595$	16.9316	+	9.60486i	0.694130	+	0.393761i
$596$	−21.2762	+	4.75503i	−0.871509	+	0.194774i
$597$	−5.11922	+	2.86841i	−0.209516	+	0.117396i
$598$	−2.75675	+	3.44087i	−0.112732	+	0.140708i
$599$	0.602742			0.0246274			0.0123137	−	0.999924i	$-0.496080\pi$
$599$	0.602742			0.0246274			0.0123137	+	0.999924i	$0.496080\pi$
$600$	8.36580	−	23.0220i	0.341532	−	0.939870i
$601$	−22.6790			−0.925095			−0.462547	−	0.886595i	$-0.653065\pi$
$601$	−22.6790			−0.925095			−0.462547	+	0.886595i	$0.653065\pi$
$602$	−10.4433	+	13.0349i	−0.425636	+	0.531262i
$603$	3.65480	−	3.12432i	0.148835	−	0.127232i
$604$	30.5534	−	6.82838i	1.24320	−	0.277843i
$605$	41.1929	−	4.64596i	1.67473	−	0.188885i
$606$	1.31302	−	7.89864i	0.0533377	−	0.320860i
$607$		−	21.0500i		−	0.854394i	−0.904159	−	0.427197i	$-0.859501\pi$
$607$		−	21.0500i		−	0.854394i	0.904159	−	0.427197i	$-0.140499\pi$
$608$	21.8492	−	35.6478i	0.886103	−	1.44571i
$609$	−10.9671	+	11.8695i	−0.444411	+	0.480977i
$610$	−2.05012	−	31.4135i	−0.0830068	−	1.27190i
$611$	−23.4013	−	17.0020i	−0.946716	−	0.687829i
$612$	−17.2794	−	12.9625i	−0.698476	−	0.523980i
$613$	−19.0024	+	13.8061i	−0.767501	+	0.557622i	−0.901202	−	0.433400i	$-0.857314\pi$
$613$	−19.0024	+	13.8061i	−0.767501	+	0.557622i	0.133701	+	0.991022i	$0.457314\pi$
$614$	−13.0366	−	10.4447i	−0.526115	−	0.421513i
$615$	5.62813	+	4.13461i	0.226948	+	0.166723i
$616$	32.8522	−	17.3922i	1.32365	−	0.700751i
$617$	−44.0518	−	14.3133i	−1.77346	−	0.576232i	−0.775014	−	0.631945i	$-0.782257\pi$
$617$	−44.0518	−	14.3133i	−1.77346	−	0.576232i	−0.998447	+	0.0557124i	$0.982257\pi$
$618$	33.0526	−	4.97622i	1.32957	−	0.200173i
$619$	36.4948	+	11.8579i	1.46685	+	0.476609i	0.930155	−	0.367166i	$-0.119672\pi$
$619$	36.4948	+	11.8579i	1.46685	+	0.476609i	0.536696	+	0.843775i	$0.319672\pi$
$620$	4.17021	+	1.27234i	0.167480	+	0.0510984i
$621$	−3.04499	−	2.39716i	−0.122191	−	0.0961948i
$622$	−42.6183	+	11.6582i	−1.70884	+	0.467453i
$623$	−23.6387	−	17.1745i	−0.947065	−	0.688083i
$624$	−28.9603	+	0.231941i	−1.15934	+	0.00928506i
$625$	17.2846	+	18.0622i	0.691384	+	0.722488i
$626$	−1.98506	+	42.0778i	−0.0793391	+	1.68177i
$627$	−29.1154	+	63.1934i	−1.16276	+	2.52370i
$628$	1.10591	+	4.94837i	0.0441307	+	0.197461i
$629$	−18.7462	+	6.09101i	−0.747459	+	0.242864i
$630$	3.29554	+	22.7021i	0.131297	+	0.904475i
$631$	31.8850	+	10.3601i	1.26932	+	0.412428i	0.864807	−	0.502104i	$-0.167441\pi$
$631$	31.8850	+	10.3601i	1.26932	+	0.412428i	0.404515	+	0.914532i	$0.367441\pi$
$632$	−24.8350	−	3.53585i	−0.987882	−	0.140649i
$633$	11.6896	+	1.38091i	0.464622	+	0.0548862i
$634$	−28.3384	+	18.6141i	−1.12546	+	0.739261i
$635$	19.2141	+	21.0164i	0.762490	+	0.834011i
$636$	−8.33935	+	14.3635i	−0.330677	+	0.569550i
$637$	3.89859	−	2.83249i	0.154468	−	0.112227i
$638$	24.7882	−	16.2822i	0.981374	−	0.644618i
$639$	−30.3182	−	7.26440i	−1.19937	−	0.287375i
$640$	−5.46346	+	24.7012i	−0.215962	+	0.976402i
$641$	−6.72843	−	9.26089i	−0.265757	−	0.365783i	0.655195	−	0.755460i	$-0.272587\pi$
$641$	−6.72843	−	9.26089i	−0.265757	−	0.365783i	−0.920952	+	0.389677i	$0.872587\pi$
$642$	36.0290	+	5.98922i	1.42195	+	0.236376i
$643$			38.8672i			1.53277i	0.642380	+	0.766386i	$0.277947\pi$
$643$			38.8672i			1.53277i	−0.642380	+	0.766386i	$0.722053\pi$
$644$	−3.31019	−	1.43258i	−0.130440	−	0.0564517i
$645$	5.75047	+	18.0210i	0.226424	+	0.709577i
$646$	36.2980	−	9.92934i	1.42813	−	0.390665i
$647$	8.24548	+	25.3770i	0.324163	+	0.997672i	0.971817	+	0.235737i	$0.0757505\pi$
$647$	8.24548	+	25.3770i	0.324163	+	0.997672i	−0.647653	+	0.761935i	$0.724250\pi$
$648$	−0.421307	−	25.4524i	−0.0165505	−	0.999863i
$649$	−49.8781			−1.95789
$650$	12.8792	−	26.6050i	0.505163	−	1.04353i
$651$	−4.00461	+	0.797497i	−0.156953	+	0.0312564i
$652$	9.22781	−	10.4662i	0.361389	−	0.409887i
$653$	−0.217176	+	0.0705647i	−0.00849874	+	0.00276141i	−0.313263	−	0.949666i	$-0.601422\pi$
$653$	−0.217176	+	0.0705647i	−0.00849874	+	0.00276141i	0.304765	+	0.952428i	$0.401422\pi$
$654$	0.864399	−	0.432139i	0.0338007	−	0.0168980i
$655$	−15.7581	−	8.93911i	−0.615718	−	0.349280i
$656$	−6.32024	−	3.47515i	−0.246764	−	0.135682i
$657$	−11.8391	+	4.91011i	−0.461886	+	0.191561i
$658$	8.36477	−	22.1356i	0.326093	−	0.862934i
$659$	11.8586	−	8.61580i	0.461947	−	0.335624i	−0.332348	−	0.943157i	$-0.607841\pi$
$659$	11.8586	−	8.61580i	0.461947	−	0.335624i	0.794294	+	0.607533i	$0.207841\pi$
$660$	4.18435	−	41.8906i	0.162876	−	1.63059i
$661$	−1.50206	−	1.09131i	−0.0584234	−	0.0424471i	0.558190	−	0.829713i	$-0.311496\pi$
$661$	−1.50206	−	1.09131i	−0.0584234	−	0.0424471i	−0.616614	+	0.787266i	$0.711496\pi$
$662$	−21.1046	+	13.8626i	−0.820253	+	0.538786i
$663$	−19.1450	−	17.6895i	−0.743531	−	0.687005i
$664$	17.1300	−	17.6750i	0.664774	−	0.685923i
$665$	−34.7609	−	19.7189i	−1.34797	−	0.764667i
$666$	−19.2174	−	13.0481i	−0.744659	−	0.505602i
$667$	−2.73689	−	0.889269i	−0.105973	−	0.0344326i
$668$	19.6007	+	1.85350i	0.758375	+	0.0717140i
$669$	37.7482	+	4.45923i	1.45943	+	0.172404i
$670$	−1.87678	−	4.70802i	−0.0725063	−	0.181887i
$671$	−16.7193	−	51.4568i	−0.645443	−	1.98647i
$672$	−6.43422	−	22.8020i	−0.248205	−	0.879607i
$673$	25.0890	+	18.2282i	0.967109	+	0.702646i	0.954791	−	0.297278i	$-0.0960789\pi$
$673$	25.0890	+	18.2282i	0.967109	+	0.702646i	0.0123182	+	0.999924i	$0.496079\pi$
$674$	−0.238172	+	5.04858i	−0.00917405	+	0.194464i
$675$	23.4807	+	11.1202i	0.903772	+	0.428015i
$676$	−8.90824	−	0.842386i	−0.342624	−	0.0323995i
$677$	−10.4554	+	14.3906i	−0.401834	+	0.553078i	−0.961203	−	0.275841i	$-0.911044\pi$
$677$	−10.4554	+	14.3906i	−0.401834	+	0.553078i	0.559369	+	0.828919i	$0.311044\pi$
$678$	1.83654	+	3.67360i	0.0705321	+	0.141084i
$679$	0.623988	−	0.202746i	0.0239465	−	0.00778068i
$680$	−18.8027	+	12.8417i	−0.721049	+	0.492456i
$681$	2.91474	−	24.6739i	0.111693	−	0.945504i
$682$	7.48513	+	0.353119i	0.286621	+	0.0135216i
$683$	4.64662	−	14.3008i	0.177798	−	0.547206i	−0.821952	−	0.569556i	$-0.807115\pi$
$683$	4.64662	−	14.3008i	0.177798	−	0.547206i	0.999750	+	0.0223507i	$0.00711504\pi$
$684$	35.4748	+	26.6123i	1.35641	+	1.01755i
$685$	−2.32161	+	1.05484i	−0.0887043	+	0.0403033i
$686$	21.7582	+	17.4323i	0.830734	+	0.665567i
$687$	26.8362	−	29.0443i	1.02387	−	1.10811i
$688$	−8.31708	−	17.6779i	−0.317086	−	0.673962i
$689$	−11.7805	+	16.2145i	−0.448802	+	0.617723i
$690$	−3.42608	+	2.22465i	−0.130428	+	0.0846908i
$691$	−26.2548	−	36.1366i	−0.998778	−	1.37470i	−0.926072	−	0.377347i	$-0.876837\pi$
$691$	−26.2548	−	36.1366i	−0.998778	−	1.37470i	−0.0727060	−	0.997353i	$-0.523163\pi$
$692$	13.3908	+	5.79528i	0.509043	+	0.220303i
$693$	15.1043	+	36.4189i	0.573765	+	1.38344i
$694$	−20.8451	−	7.87711i	−0.791269	−	0.299011i
$695$	−11.5910	−	12.6782i	−0.439672	−	0.480913i
$696$	−6.82339	−	17.6284i	−0.258640	−	0.668202i
$697$	−2.00604	−	6.17395i	−0.0759842	−	0.233855i
$698$	10.6963	−	13.3507i	0.404860	−	0.505330i
$699$	−4.82451	−	24.2261i	−0.182480	−	0.916315i
$700$	23.7736	+	4.41995i	0.898558	+	0.167059i
$701$		−	30.8431i		−	1.16493i	−0.812857	−	0.582464i	$-0.802089\pi$
$701$		−	30.8431i		−	1.16493i	0.812857	−	0.582464i	$-0.197911\pi$
$702$	2.63053	−	30.6052i	0.0992829	−	1.15512i
$703$	38.4862	−	12.5049i	1.45153	−	0.471632i
$704$	1.36123	+	43.4584i	0.0513034	+	1.63790i
$705$	−15.6380	−	21.7643i	−0.588960	−	0.819692i
$706$	−6.40373	+	16.9461i	−0.241008	+	0.637775i
$707$	7.90442			0.297276
$708$	−6.68522	+	31.0801i	−0.251246	+	1.16806i
$709$	34.4186	−	25.0066i	1.29262	−	0.939142i	0.292764	−	0.956185i	$-0.405425\pi$
$709$	34.4186	−	25.0066i	1.29262	−	0.939142i	0.999855	+	0.0170424i	$0.00542503\pi$
$710$	−17.5438	+	27.7880i	−0.658407	+	1.04286i
$711$	6.19972	−	25.8747i	0.232508	−	0.970377i
$712$	30.2055	−	15.9910i	1.13200	−	0.599288i
$713$	−0.427384	−	0.588244i	−0.0160057	−	0.0220299i
$714$	9.82600	−	18.9254i	0.367729	−	0.708265i
$715$	10.1847	−	49.7702i	0.380888	−	1.86130i
$716$	18.0151	−	10.6533i	0.673256	−	0.398131i
$717$	2.45410	−	20.7744i	0.0916501	−	0.775835i
$718$	−0.904982	+	19.1831i	−0.0337736	+	0.715905i
$719$	2.73582	−	8.42000i	0.102029	−	0.314013i	−0.886993	−	0.461784i	$-0.847210\pi$
$719$	2.73582	−	8.42000i	0.102029	−	0.314013i	0.989022	+	0.147771i	$0.0472097\pi$
$720$	−25.5421	−	8.22200i	−0.951898	−	0.306416i
$721$	10.1966	+	31.3818i	0.379740	+	1.16872i
$722$	−48.6026	+	13.2953i	−1.80880	+	0.494798i
$723$	−35.5879	−	16.3966i	−1.32353	−	0.609795i
$724$	20.5185	+	1.94028i	0.762563	+	0.0721100i
$725$	19.2154	+	1.72511i	0.713641	+	0.0640689i
$726$	−6.76059	−	44.9046i	−0.250909	−	1.66657i
$727$	−17.8430	+	24.5588i	−0.661760	+	0.910834i	−0.999538	−	0.0303914i	$-0.990325\pi$
$727$	−17.8430	+	24.5588i	−0.661760	+	0.910834i	0.337778	+	0.941226i	$0.390325\pi$
$728$	−4.91401	−	28.1646i	−0.182125	−	1.04385i
$729$	26.9196	+	2.08226i	0.997022	+	0.0771206i
$730$	0.879832	+	13.4815i	0.0325640	+	0.498973i
$731$	5.43369	−	16.7232i	0.200972	−	0.618529i
$732$	−34.3048	+	3.52136i	−1.26794	+	0.130153i
$733$	13.2918	−	40.9078i	0.490942	−	1.51096i	−0.332245	−	0.943193i	$-0.607806\pi$
$733$	13.2918	−	40.9078i	0.490942	−	1.51096i	0.823187	−	0.567771i	$-0.192194\pi$
$734$	−40.2776	+	26.4564i	−1.48667	+	0.976525i
$735$	4.25347	−	1.35727i	0.156892	−	0.0500637i
$736$	3.20835	−	2.73971i	0.118261	−	0.100987i
$737$	−5.12010	−	7.04721i	−0.188601	−	0.259587i
$738$	4.29730	−	6.32915i	0.158186	−	0.232979i
$739$	−0.374176	+	0.515009i	−0.0137643	+	0.0189449i	−0.815844	−	0.578273i	$-0.803727\pi$
$739$	−0.374176	+	0.515009i	−0.0137643	+	0.0189449i	0.802079	+	0.597217i	$0.203727\pi$
$740$	−19.5461	+	14.7466i	−0.718527	+	0.542097i
$741$	39.3050	+	36.3169i	1.44391	+	1.33413i
$742$	−15.3375	−	5.79585i	−0.563056	−	0.212772i
$743$	−37.5772			−1.37857			−0.689286	−	0.724489i	$-0.742076\pi$
$743$	−37.5772			−1.37857			−0.689286	+	0.724489i	$0.742076\pi$
$744$	1.22328	−	4.61682i	0.0448475	−	0.169261i
$745$	−23.8795	−	4.88659i	−0.874879	−	0.179031i
$746$	25.6295	−	7.01097i	0.938363	−	0.256690i
$747$	16.9640	+	19.8443i	0.620680	+	0.726065i
$748$	−25.8805	+	29.3536i	−0.946285	+	1.07328i
$749$			36.0553i			1.31743i
$750$	19.0698	−	19.6556i	0.696331	−	0.717721i
$751$		−	8.32794i		−	0.303891i	−0.988389	−	0.151945i	$-0.951446\pi$
$751$		−	8.32794i		−	0.303891i	0.988389	−	0.151945i	$-0.0485538\pi$
$752$	18.9460	+	20.1782i	0.690890	+	0.735825i
$753$	−19.0225	−	33.9494i	−0.693220	−	1.23718i
$754$	−6.01867	−	22.0020i	−0.219187	−	0.801267i
$755$	34.2918	+	7.01731i	1.24801	+	0.255386i
$756$	24.7178	−	4.53055i	0.898979	−	0.164774i
$757$	−11.8344			−0.430130			−0.215065	−	0.976600i	$-0.568996\pi$
$757$	−11.8344			−0.430130			−0.215065	+	0.976600i	$0.568996\pi$
$758$	−2.24355	+	5.93708i	−0.0814895	+	0.215645i
$759$	−4.76457	+	5.15659i	−0.172943	+	0.187173i
$760$	38.6021	−	26.3642i	1.40025	−	0.956329i
$761$	−27.2659	+	37.5283i	−0.988389	+	1.36040i	−0.0562042	+	0.998419i	$0.517900\pi$
$761$	−27.2659	+	37.5283i	−0.988389	+	1.36040i	−0.932185	+	0.361982i	$0.882100\pi$
$762$	22.2253	−	21.8880i	0.805139	−	0.792917i
$763$	0.560757	+	0.771815i	0.0203008	+	0.0279416i
$764$	−3.64768	−	3.21609i	−0.131968	−	0.116354i
$765$	−11.6939	−	21.1307i	−0.422795	−	0.763982i
$766$	−14.7775	−	22.4975i	−0.533934	−	0.812868i
$767$	−11.8547	+	36.4851i	−0.428049	+	1.31740i
$768$	27.2623	+	4.97657i	0.983744	+	0.179576i
$769$	−9.91574	+	30.5175i	−0.357571	+	1.10049i	0.596933	+	0.802291i	$0.296386\pi$
$769$	−9.91574	+	30.5175i	−0.357571	+	1.10049i	−0.954504	+	0.298198i	$0.903614\pi$
$770$	41.4713	−	2.70651i	1.49452	−	0.0975357i
$771$	22.1808	−	12.4284i	0.798822	−	0.447597i
$772$	4.39749	+	19.6764i	0.158269	+	0.708170i
$773$	17.7646	−	24.4508i	0.638947	−	0.879435i	−0.359612	−	0.933102i	$-0.617091\pi$
$773$	17.7646	−	24.4508i	0.638947	−	0.879435i	0.998559	+	0.0536667i	$0.0170909\pi$
$774$	19.4937	−	7.02762i	0.700685	−	0.252603i
$775$	3.67165	+	3.20638i	0.131890	+	0.115177i
$776$	−0.108172	+	0.759772i	−0.00388314	+	0.0272742i
$777$	9.59553	−	20.8266i	0.344238	−	0.747149i
$778$	9.73812	+	35.5990i	0.349129	+	1.27629i
$779$	4.11843	+	12.6752i	0.147558	+	0.454137i
$780$	−29.6478	−	13.0171i	−1.06156	−	0.466087i
$781$	−17.4535	+	53.7163i	−0.624535	+	1.92212i
$782$	3.79301	+	0.178939i	0.135638	+	0.00639886i
$783$	19.2931	−	5.45520i	0.689479	−	0.194953i
$784$	−4.17247	+	1.96306i	−0.149017	+	0.0701095i
$785$	−1.13651	+	5.55384i	−0.0405638	+	0.198225i
$786$	−9.14492	+	17.6136i	−0.326188	+	0.628257i
$787$	−17.7915	−	24.4879i	−0.634200	−	0.872901i	0.364090	−	0.931364i	$-0.381380\pi$
$787$	−17.7915	−	24.4879i	−0.634200	−	0.872901i	−0.998290	+	0.0584629i	$0.981380\pi$
$788$	9.94227	+	16.8128i	0.354179	+	0.598930i
$789$	−0.529887	−	0.244138i	−0.0188645	−	0.00869153i
$790$	−23.7154	−	14.9726i	−0.843755	−	0.532700i
$791$	−3.28013	+	2.38316i	−0.116628	+	0.0847352i
$792$	−46.0273	−	2.87751i	−1.63551	−	0.102248i
$793$	−41.6137			−1.47774
$794$	−27.4596	−	10.3766i	−0.974504	−	0.368253i
$795$	−15.0802	+	10.8354i	−0.534841	+	0.384290i
$796$	6.61272	−	1.47788i	0.234382	−	0.0523820i
$797$	27.2085	−	8.84059i	0.963776	−	0.313150i	0.215475	−	0.976509i	$-0.430870\pi$
$797$	27.2085	−	8.84059i	0.963776	−	0.313150i	0.748301	+	0.663359i	$0.230870\pi$
$798$	−20.1729	+	38.8541i	−0.714114	+	1.37542i
$799$			24.9120i			0.881325i
$800$	−16.8777	+	22.6968i	−0.596716	+	0.802452i
$801$	13.8874	+	33.4848i	0.490688	+	1.18313i
$802$	−7.58186	−	6.07443i	−0.267725	−	0.214496i
$803$	7.17530	+	22.0833i	0.253211	+	0.779303i
$804$	−5.07752	+	2.24590i	−0.179070	+	0.0792067i
$805$	−2.72103	−	2.97626i	−0.0959035	−	0.104899i
$806$	2.03732	−	5.39134i	0.0717617	−	0.189902i
$807$	1.62128	+	8.14119i	0.0570716	+	0.286583i
$808$	−4.06799	+	8.30271i	−0.143111	+	0.292088i
$809$	−17.9019	−	24.6399i	−0.629398	−	0.866292i	0.368597	−	0.929589i	$-0.379838\pi$
$809$	−17.9019	−	24.6399i	−0.629398	−	0.866292i	−0.997995	+	0.0632973i	$0.979838\pi$
$810$	11.2185	−	26.1562i	0.394179	−	0.919034i
$811$	29.1960	−	40.1849i	1.02521	−	1.41108i	0.116726	−	0.993164i	$-0.462760\pi$
$811$	29.1960	−	40.1849i	1.02521	−	1.41108i	0.908485	−	0.417918i	$-0.137240\pi$
$812$	16.0623	−	9.49847i	0.563676	−	0.333331i
$813$	1.75470	+	1.62130i	0.0615401	+	0.0568616i
$814$	−26.3120	+	32.8415i	−0.922234	+	1.15110i
$815$	14.2029	−	6.45317i	0.497506	−	0.226045i
$816$	14.8221	+	20.0610i	0.518877	+	0.702276i
$817$	−11.1555	+	34.3330i	−0.390280	+	1.20116i
$818$	0.575191	−	12.1924i	0.0201111	−	0.426298i
$819$	30.2298	−	2.39275i	1.05631	−	0.0836094i
$820$	−4.85673	−	6.43738i	−0.169604	−	0.224803i
$821$	16.7240	−	5.43395i	0.583671	−	0.189646i	−0.00227361	−	0.999997i	$-0.500724\pi$
$821$	16.7240	−	5.43395i	0.583671	−	0.189646i	0.585944	+	0.810351i	$0.300724\pi$
$822$	1.24911	+	2.49856i	0.0435676	+	0.0871474i
$823$	−17.8730	+	24.6000i	−0.623012	+	0.857503i	−0.997568	−	0.0697017i	$-0.977795\pi$
$823$	−17.8730	+	24.6000i	−0.623012	+	0.857503i	0.374556	+	0.927204i	$0.377795\pi$
$824$	−38.2107	−	5.44020i	−1.33113	−	0.189518i
$825$	23.4396	−	40.8166i	0.816063	−	1.42105i
$826$	−31.3487	−	1.47891i	−1.09076	−	0.0514578i
$827$	22.2028	+	16.1313i	0.772067	+	0.560939i	0.902588	−	0.430506i	$-0.141665\pi$
$827$	22.2028	+	16.1313i	0.772067	+	0.560939i	−0.130521	+	0.991446i	$0.541665\pi$
$828$	2.57458	+	3.66005i	0.0894730	+	0.127196i
$829$	−7.04284	−	21.6756i	−0.244608	−	0.752826i	−0.995701	−	0.0926293i	$-0.970473\pi$
$829$	−7.04284	−	21.6756i	−0.244608	−	0.752826i	0.751093	−	0.660197i	$-0.229527\pi$
$830$	25.5629	−	10.1903i	0.887301	−	0.353709i
$831$	−4.17074	+	35.3061i	−0.144681	+	1.22475i
$832$	32.1127	+	9.33321i	1.11331	+	0.323571i
$833$	−3.94714	−	1.28250i	−0.136760	−	0.0444362i
$834$	−13.4075	+	13.2040i	−0.464264	+	0.457217i
$835$	19.1460	+	10.8610i	0.662575	+	0.375861i
$836$	53.1331	−	60.2635i	1.83765	−	2.08426i
$837$	4.75392	+	1.75019i	0.164319	+	0.0604953i
$838$	15.8984	+	24.2039i	0.549201	+	0.836110i
$839$	6.31078	+	4.58505i	0.217872	+	0.158294i	0.691368	−	0.722502i	$-0.257008\pi$
$839$	6.31078	+	4.58505i	0.217872	+	0.158294i	−0.473496	+	0.880796i	$0.657008\pi$
$840$	3.87197	−	26.2044i	0.133595	−	0.904139i
$841$	−11.4166	+	8.29467i	−0.393677	+	0.286023i
$842$	20.2317	+	7.64531i	0.697229	+	0.263475i
$843$	10.4741	+	52.5951i	0.360746	+	1.81147i
$844$	−12.4738	−	5.39842i	−0.429367	−	0.185821i
$845$	−8.70156	−	4.93616i	−0.299343	−	0.169809i
$846$	−23.1894	+	18.0036i	−0.797269	+	0.618975i
$847$	42.6347	−	13.8528i	1.46494	−	0.475989i
$848$	13.9813	−	13.1275i	0.480119	−	0.450799i
$849$	6.17796	+	31.0224i	0.212027	+	1.06469i
$850$	−25.0571	+	4.49445i	−0.859453	+	0.154158i
$851$	4.08331			0.139974
$852$	31.1325	+	18.0753i	1.06658	+	0.619250i
$853$	2.12105	+	6.52791i	0.0726233	+	0.223511i	0.980779	−	0.195120i	$-0.0625098\pi$
$853$	2.12105	+	6.52791i	0.0726233	+	0.223511i	−0.908156	+	0.418632i	$0.862510\pi$
$854$	−8.98249	−	32.8367i	−0.307374	−	1.12365i
$855$	24.0078	+	43.3816i	0.821051	+	1.48362i
$856$	−37.8721	−	18.5558i	−1.29444	−	0.634223i
$857$			23.3567i			0.797851i	0.916983	+	0.398925i	$0.130617\pi$
$857$			23.3567i			0.797851i	−0.916983	+	0.398925i	$0.869383\pi$
$858$	−54.8971	−	9.12573i	−1.87416	−	0.311547i
$859$	18.1606	+	24.9959i	0.619632	+	0.852851i	0.997326	−	0.0730799i	$-0.0232828\pi$
$859$	18.1606	+	24.9959i	0.619632	+	0.852851i	−0.377694	+	0.925931i	$0.623283\pi$
$860$	−0.393771	−	21.8391i	−0.0134275	−	0.744706i
$861$	6.85911	+	3.16023i	0.233758	+	0.107700i
$862$	17.5579	+	26.7304i	0.598025	+	0.910441i
$863$	−11.2624	+	8.18263i	−0.383377	+	0.278540i	−0.762736	−	0.646710i	$-0.776145\pi$
$863$	−11.2624	+	8.18263i	−0.383377	+	0.278540i	0.379359	+	0.925250i	$0.376145\pi$
$864$	−7.96213	+	28.2950i	−0.270877	+	0.962614i
$865$	11.0075	+	12.0399i	0.374265	+	0.409370i
$866$	0.542203	+	0.825457i	0.0184248	+	0.0280502i
$867$	0.820665	−	6.94708i	0.0278712	−	0.235935i
$868$	4.69398	+	0.443875i	0.159324	+	0.0150661i
$869$	−45.8436	−	14.8955i	−1.55514	−	0.505295i
$870$	1.10726	−	21.1050i	0.0375396	−	0.715527i
$871$	−6.37184	+	2.07034i	−0.215902	+	0.0701507i
$872$	−1.09930	+	0.191799i	−0.0372269	+	0.00649515i
$873$	−0.791581	−	0.189667i	−0.0267910	−	0.00641926i
$874$	−7.78711	−	0.367365i	−0.263403	−	0.0124263i
$875$	22.2281	+	15.3887i	0.751447	+	0.520233i
$876$	14.7223	−	1.51123i	0.497420	−	0.0510598i
$877$	−29.3709	−	21.3392i	−0.991785	−	0.720574i	−0.0314737	−	0.999505i	$-0.510020\pi$
$877$	−29.3709	−	21.3392i	−0.991785	−	0.720574i	−0.960311	+	0.278931i	$0.910020\pi$
$878$	−4.65708	−	17.0246i	−0.157169	−	0.574551i
$879$	−1.02583	+	0.574796i	−0.0346005	+	0.0193874i
$880$	−18.5002	+	44.9539i	−0.623642	+	1.51539i
$881$	0.339830	+	0.110417i	0.0114492	+	0.00372006i	0.314736	−	0.949179i	$-0.398084\pi$
$881$	0.339830	+	0.110417i	0.0114492	+	0.00372006i	−0.303287	+	0.952899i	$0.598084\pi$
$882$	−1.65872	−	4.60105i	−0.0558519	−	0.154926i
$883$	−17.7319	−	5.76145i	−0.596726	−	0.193888i	−0.00494652	−	0.999988i	$-0.501575\pi$
$883$	−17.7319	−	5.76145i	−0.596726	−	0.193888i	−0.591780	+	0.806100i	$0.701575\pi$
$884$	15.3206	+	25.9078i	0.515289	+	0.871374i
$885$	−21.0433	+	28.6446i	−0.707362	+	0.962878i
$886$	−2.86451	+	3.57536i	−0.0962350	+	0.120117i
$887$	26.1086	−	18.9690i	0.876641	−	0.636917i	−0.0557194	−	0.998446i	$-0.517745\pi$
$887$	26.1086	−	18.9690i	0.876641	−	0.636917i	0.932361	+	0.361529i	$0.117745\pi$
$888$	16.9377	+	20.7974i	0.568390	+	0.697913i
$889$	24.9128	+	18.1002i	0.835550	+	0.607062i
$890$	38.1302	−	2.48846i	1.27813	−	0.0834134i
$891$	7.60870	−	48.3193i	0.254901	−	1.61876i
$892$	−40.2806	−	17.4326i	−1.34869	−	0.583687i
$893$		−	51.1448i		−	1.71150i
$894$	−4.37848	+	26.3394i	−0.146438	+	0.880920i
$895$	23.2523	−	2.62252i	0.777237	−	0.0876611i
$896$	−0.433018	+	27.3542i	−0.0144661	+	0.913841i
$897$	2.63956	+	4.71080i	0.0881323	+	0.157289i
$898$	2.46481	+	1.97475i	0.0822517	+	0.0658984i
$899$	3.76177			0.125462
$900$	−22.2921	−	20.0764i	−0.743069	−	0.669214i
$901$	17.2613			0.575056
$902$	−10.8162	−	8.66570i	−0.360140	−	0.288536i
$903$	9.99932	+	17.8457i	0.332756	+	0.593868i
$904$	−0.815127	−	4.67189i	−0.0271107	−	0.155385i
$905$	20.0424	+	11.3695i	0.666233	+	0.377936i
$906$	6.28764	−	37.8242i	0.208893	−	1.25662i
$907$			50.7133i			1.68391i	0.539549	+	0.841954i	$0.318595\pi$
$907$			50.7133i			1.68391i	−0.539549	+	0.841954i	$0.681405\pi$
$908$	−11.3947	+	26.3291i	−0.378146	+	0.873761i
$909$	−8.36377	−	5.12018i	−0.277409	−	0.169826i
$910$	7.87688	−	30.9789i	0.261116	−	1.02694i
$911$	−7.36164	−	5.34855i	−0.243902	−	0.177205i	0.459118	−	0.888375i	$-0.348166\pi$
$911$	−7.36164	−	5.34855i	−0.243902	−	0.177205i	−0.703020	+	0.711170i	$0.748166\pi$
$912$	−30.4300	−	41.1856i	−1.00764	−	1.36379i
$913$	38.2639	−	27.8004i	1.26635	−	0.920058i
$914$	−14.7463	+	18.4057i	−0.487764	+	0.608807i
$915$	−36.6050	−	12.1075i	−1.21013	−	0.400263i
$916$	−39.3039	+	23.2424i	−1.29864	+	0.767951i
$917$	−18.6329	−	6.05420i	−0.615313	−	0.199927i
$918$	−22.6562	+	13.6603i	−0.747765	+	0.450857i
$919$	−41.0134	−	13.3261i	−1.35291	−	0.439586i	−0.459239	−	0.888313i	$-0.651878\pi$
$919$	−41.0134	−	13.3261i	−1.35291	−	0.439586i	−0.893669	+	0.448727i	$0.851878\pi$
$920$	4.52659	−	1.32641i	0.149237	−	0.0437305i
$921$	−17.8481	+	10.0007i	−0.588114	+	0.329533i
$922$	−11.4489	−	41.8531i	−0.377051	−	1.37836i
$923$	35.1445	+	25.5340i	1.15679	+	0.840460i
$924$	−4.64880	−	45.2882i	−0.152934	−	1.48987i
$925$	−26.6873	+	6.09744i	−0.877472	+	0.200483i
$926$	28.8167	+	1.35946i	0.946977	+	0.0446747i
$927$	9.53879	−	39.8104i	0.313295	−	1.30754i
$928$	1.71066	+	21.7600i	0.0561552	+	0.714307i
$929$	55.7763	−	18.1228i	1.82996	−	0.594590i	0.830676	−	0.556756i	$-0.187954\pi$
$929$	55.7763	−	18.1228i	1.82996	−	0.594590i	0.999284	−	0.0378339i	$-0.0120458\pi$
$930$	3.36073	−	4.14967i	0.110203	−	0.136073i
$931$	8.10355	+	2.63300i	0.265583	+	0.0862931i
$932$	−2.68525	+	28.3965i	−0.0879583	+	0.930159i
$933$	−6.34842	+	53.7405i	−0.207838	+	1.75939i
$934$	20.2098	+	30.7677i	0.661286	+	1.00675i
$935$	−39.8338	+	18.0987i	−1.30270	+	0.591891i
$936$	−13.0444	+	32.9844i	−0.426368	+	1.07813i
$937$	−30.9327	+	22.4739i	−1.01053	+	0.734190i	−0.964319	−	0.264742i	$-0.914713\pi$
$937$	−30.9327	+	22.4739i	−1.01053	+	0.734190i	−0.0462067	+	0.998932i	$0.514713\pi$
$938$	−3.00906	−	4.58103i	−0.0982493	−	0.149576i
$939$	46.8576	+	21.5889i	1.52914	+	0.704528i
$940$	10.0918	+	29.2540i	0.329158	+	0.954161i
$941$	−29.0117	−	39.9312i	−0.945754	−	1.30172i	−0.953388	−	0.301748i	$-0.902430\pi$
$941$	−29.0117	−	39.9312i	−0.945754	−	1.30172i	0.00763309	−	0.999971i	$-0.497570\pi$
$942$	6.12594	+	1.01834i	0.199594	+	0.0331792i
$943$			1.34482i			0.0437933i
$944$	17.6869	−	32.1672i	0.575661	−	1.04695i
$945$	27.2875	+	6.69064i	0.887662	+	0.217646i
$946$	−9.90533	−	36.2103i	−0.322050	−	1.17730i
$947$	−11.7022	−	36.0155i	−0.380269	−	1.17035i	−0.939855	−	0.341575i	$-0.889040\pi$
$947$	−11.7022	−	36.0155i	−0.380269	−	1.17035i	0.559586	−	0.828773i	$-0.310960\pi$
$948$	−15.4262	+	26.5697i	−0.501019	+	0.862944i
$949$	17.8590			0.579728
$950$	51.4427	−	9.22717i	1.66902	−	0.299369i
$951$	8.11023	+	40.7253i	0.262992	+	1.32061i
$952$	−17.1364	+	17.6816i	−0.555394	+	0.573063i
$953$	50.4973	−	16.4076i	1.63577	−	0.531493i	0.660180	−	0.751107i	$-0.270480\pi$
$953$	50.4973	−	16.4076i	1.63577	−	0.531493i	0.975587	+	0.219615i	$0.0704800\pi$
$954$	12.4744	+	16.0677i	0.403875	+	0.520210i
$955$	−2.24907	−	4.95002i	−0.0727781	−	0.160179i
$956$	−9.59388	+	22.1681i	−0.310288	+	0.716966i
$957$	−7.09420	−	35.6233i	−0.229323	−	1.15154i
$958$	14.0331	+	5.30293i	0.453388	+	0.171330i
$959$	−2.23095	+	1.62088i	−0.0720411	+	0.0523409i
$960$	25.5321	+	17.5531i	0.824045	+	0.566524i
$961$	−24.3106	−	17.6627i	−0.784212	−	0.569763i
$962$	17.7694	+	27.0524i	0.572910	+	0.872205i
$963$	23.3552	−	38.1506i	0.752612	−	1.22939i
$964$	33.9379	+	29.9223i	1.09307	+	0.963734i
$965$	−4.51916	+	22.0840i	−0.145477	+	0.710908i
$966$	−3.14746	+	3.09968i	−0.101268	+	0.0997306i
$967$	13.7462	+	4.46642i	0.442049	+	0.143630i	0.521581	−	0.853202i	$-0.325343\pi$
$967$	13.7462	+	4.46642i	0.442049	+	0.143630i	−0.0795320	+	0.996832i	$0.525343\pi$
$968$	−7.39095	+	51.9122i	−0.237554	+	1.66852i
$969$	5.40695	−	45.7709i	0.173696	−	1.47037i
$970$	−0.458054	+	0.725521i	−0.0147072	+	0.0232951i
$971$	9.28745	+	28.5838i	0.298048	+	0.917298i	0.982180	+	0.187940i	$0.0601812\pi$
$971$	9.28745	+	28.5838i	0.298048	+	0.917298i	−0.684132	+	0.729358i	$0.739819\pi$
$972$	−29.0890	−	11.2174i	−0.933030	−	0.359799i
$973$	−15.0288	−	10.9190i	−0.481800	−	0.350048i
$974$	40.8639	+	1.92780i	1.30936	+	0.0617706i
$975$	−24.2858	−	26.8468i	−0.777767	−	0.859785i
$976$	39.1140	+	7.46420i	1.25201	+	0.238923i
$977$	−10.6053	+	14.5970i	−0.339294	+	0.466998i	−0.944235	−	0.329272i	$-0.893197\pi$
$977$	−10.6053	+	14.5970i	−0.339294	+	0.466998i	0.604941	+	0.796270i	$0.293197\pi$
$978$	−7.64165	−	15.2854i	−0.244353	−	0.488775i
$979$	62.4590	−	20.2942i	1.99620	−	0.648604i
$980$	−5.15464	+	0.0929410i	−0.164659	+	0.00296889i
$981$	−0.0933918	−	1.17990i	−0.00298177	−	0.0376714i
$982$	0.0432342	−	0.916443i	0.00137966	−	0.0292449i
$983$	−4.70152	+	14.4698i	−0.149955	+	0.461515i	−0.997615	−	0.0690257i	$-0.978011\pi$
$983$	−4.70152	+	14.4698i	−0.149955	+	0.461515i	0.847660	+	0.530540i	$0.178011\pi$
$984$	−6.84949	+	5.57832i	−0.218354	+	0.177830i
$985$	2.44749	+	21.7004i	0.0779835	+	0.691432i
$986$	−12.2834	+	15.3316i	−0.391182	+	0.488258i
$987$	−21.2862	−	19.6679i	−0.677547	−	0.626037i
$988$	−31.4535	−	53.1891i	−1.00067	−	1.69217i
$989$	−2.14110	+	2.94698i	−0.0680831	+	0.0937084i
$990$	−45.6345	−	23.9997i	−1.45036	−	0.762761i
$991$	22.2639	+	30.6436i	0.707235	+	0.973426i	0.999852	+	0.0171959i	$0.00547390\pi$
$991$	22.2639	+	30.6436i	0.707235	+	0.973426i	−0.292617	+	0.956230i	$0.594526\pi$
$992$	−2.88199	+	4.70206i	−0.0915031	+	0.149291i
$993$	6.03998	+	30.3296i	0.191673	+	0.962480i
$994$	−12.5623	+	33.2435i	−0.398453	+	1.05442i
$995$	7.42183	+	1.51877i	0.235288	+	0.0481482i
$996$	−12.1944	−	27.5692i	−0.386396	−	0.873563i
$997$	−0.0455868	−	0.140302i	−0.00144375	−	0.00444340i	0.950332	−	0.311238i	$-0.100744\pi$
$997$	−0.0455868	−	0.140302i	−0.00144375	−	0.00444340i	−0.951776	+	0.306794i	$0.900744\pi$
$998$	11.2381	+	9.00369i	0.355734	+	0.285007i
$999$	−23.6438	+	15.8212i	−0.748056	+	0.500562i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.n.a.191.17	yes	224
3.2	odd	2	inner	300.2.n.a.191.40	yes	224
4.3	odd	2	inner	300.2.n.a.191.18	yes	224
12.11	even	2	inner	300.2.n.a.191.39	yes	224
25.11	even	5	inner	300.2.n.a.11.39	yes	224
75.11	odd	10	inner	300.2.n.a.11.18	yes	224
100.11	odd	10	inner	300.2.n.a.11.40	yes	224
300.11	even	10	inner	300.2.n.a.11.17	✓	224

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.n.a.11.17	✓	224	300.11	even	10	inner
300.2.n.a.11.18	yes	224	75.11	odd	10	inner
300.2.n.a.11.39	yes	224	25.11	even	5	inner
300.2.n.a.11.40	yes	224	100.11	odd	10	inner
300.2.n.a.191.17	yes	224	1.1	even	1	trivial
300.2.n.a.191.18	yes	224	4.3	odd	2	inner
300.2.n.a.191.39	yes	224	12.11	even	2	inner
300.2.n.a.191.40	yes	224	3.2	odd	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:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.n (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.884246 + 1.10368i) q^{2} +(0.846655 + 1.51102i) q^{3} +(-0.436219 - 1.95185i) q^{4} +(0.448288 - 2.19067i) q^{5} +(-2.41633 - 0.401675i) q^{6} -2.41810i q^{7} +(2.53994 + 1.24447i) q^{8} +(-1.56635 + 2.55862i) q^{9} +O(q^{10})\)	\(q+(-0.884246 + 1.10368i) q^{2} +(0.846655 + 1.51102i) q^{3} +(-0.436219 - 1.95185i) q^{4} +(0.448288 - 2.19067i) q^{5} +(-2.41633 - 0.401675i) q^{6} -2.41810i q^{7} +(2.53994 + 1.24447i) q^{8} +(-1.56635 + 2.55862i) q^{9} +(2.02140 + 2.43186i) q^{10} +(4.39698 + 3.19459i) q^{11} +(2.57995 - 2.31168i) q^{12} +(3.38184 - 2.45705i) q^{13} +(2.66881 + 2.13819i) q^{14} +(3.68969 - 1.17737i) q^{15} +(-3.61943 + 1.70287i) q^{16} +(-3.42396 - 1.11251i) q^{17} +(-1.43886 - 3.99120i) q^{18} +(7.02945 + 2.28401i) q^{19} +(-4.47141 + 0.0806220i) q^{20} +(3.65379 - 2.04730i) q^{21} +(-7.41382 + 2.02805i) q^{22} +(0.603374 + 0.438377i) q^{23} +(0.270041 + 4.89153i) q^{24} +(-4.59808 - 1.96410i) q^{25} +(-0.278580 + 5.90511i) q^{26} +(-5.19228 - 0.200515i) q^{27} +(-4.71976 + 1.05482i) q^{28} +(-3.66968 + 1.19235i) q^{29} +(-1.96315 + 5.11332i) q^{30} +(-0.927208 - 0.301268i) q^{31} +(1.32104 - 5.50044i) q^{32} +(-1.10436 + 9.34863i) q^{33} +(4.25548 - 2.79523i) q^{34} +(-5.29726 - 1.08400i) q^{35} +(5.67731 + 1.94116i) q^{36} +(4.42936 - 3.21812i) q^{37} +(-8.73657 + 5.73864i) q^{38} +(6.57591 + 3.02975i) q^{39} +(3.86484 - 5.00629i) q^{40} +(1.05987 + 1.45879i) q^{41} +(-0.971290 + 5.84293i) q^{42} +4.88416i q^{43} +(4.31731 - 9.97578i) q^{44} +(4.90292 + 4.57836i) q^{45} +(-1.01736 + 0.278299i) q^{46} +(-2.13830 - 6.58101i) q^{47} +(-5.63747 - 4.02728i) q^{48} +1.15280 q^{49} +(6.23357 - 3.33805i) q^{50} +(-1.21789 - 6.11559i) q^{51} +(-6.27102 - 5.52903i) q^{52} +(-4.55991 + 1.48160i) q^{53} +(4.81256 - 5.55331i) q^{54} +(8.96941 - 8.20023i) q^{55} +(3.00924 - 6.14183i) q^{56} +(2.50034 + 12.5554i) q^{57} +(1.92892 - 5.10448i) q^{58} +(-7.42456 + 5.39426i) q^{59} +(-3.90756 - 6.68812i) q^{60} +(-8.05374 - 5.85138i) q^{61} +(1.15238 - 0.756946i) q^{62} +(6.18700 + 3.78759i) q^{63} +(4.90260 + 6.32175i) q^{64} +(-3.86656 - 8.50998i) q^{65} +(-9.34137 - 9.48535i) q^{66} +(-1.52430 - 0.495274i) q^{67} +(-0.677859 + 7.16836i) q^{68} +(-0.151546 + 1.28286i) q^{69} +(5.88047 - 4.88795i) q^{70} +(3.21134 + 9.88348i) q^{71} +(-7.16256 + 4.54948i) q^{72} +(3.45636 + 2.51119i) q^{73} +(-0.364870 + 7.73421i) q^{74} +(-0.925188 - 8.61069i) q^{75} +(1.39165 - 14.7168i) q^{76} +(7.72484 - 10.6323i) q^{77} +(-9.15859 + 4.57865i) q^{78} +(-8.43495 + 2.74068i) q^{79} +(2.10788 + 8.69234i) q^{80} +(-4.09309 - 8.01540i) q^{81} +(-2.54722 - 0.120168i) q^{82} +(2.68916 - 8.27640i) q^{83} +(-5.58986 - 6.23858i) q^{84} +(-3.97207 + 7.00205i) q^{85} +(-5.39055 - 4.31880i) q^{86} +(-4.90862 - 4.53544i) q^{87} +(7.19250 + 13.5860i) q^{88} +(7.10249 - 9.77574i) q^{89} +(-9.38843 + 1.36286i) q^{90} +(-5.94140 - 8.17763i) q^{91} +(0.592442 - 1.36892i) q^{92} +(-0.329804 - 1.65610i) q^{93} +(9.15412 + 3.45923i) q^{94} +(8.15473 - 14.3753i) q^{95} +(9.42973 - 2.66086i) q^{96} +(0.0838452 + 0.258049i) q^{97} +(-1.01936 + 1.27232i) q^{98} +(-15.0610 + 6.24635i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 224 q - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) \) 224 * q - 6 * q^4 + q^6 - 6 * q^9	\( 224 q - 6 q^{4} + q^{6} - 6 q^{9} - 8 q^{10} - 9 q^{12} - 12 q^{13} - 18 q^{16} - 26 q^{18} + 12 q^{21} - 6 q^{22} - 16 q^{24} - 12 q^{25} + 2 q^{28} - 13 q^{30} + 6 q^{33} - 30 q^{34} + 35 q^{36} + 12 q^{37} - 24 q^{40} - 13 q^{42} - 6 q^{45} - 18 q^{46} - 34 q^{48} - 168 q^{49} - 28 q^{52} - 38 q^{54} - 44 q^{57} - 34 q^{58} - 76 q^{60} + 4 q^{61} + 18 q^{64} - 46 q^{66} - 18 q^{69} + 72 q^{70} - 29 q^{72} - 20 q^{73} + 16 q^{76} + 5 q^{78} - 30 q^{81} - 20 q^{82} - 18 q^{84} - 76 q^{85} + 6 q^{88} + 2 q^{90} - 52 q^{93} + 96 q^{94} - 50 q^{96} - 72 q^{97}+O(q^{100}) \) 224 * q - 6 * q^4 + q^6 - 6 * q^9 - 8 * q^10 - 9 * q^12 - 12 * q^13 - 18 * q^16 - 26 * q^18 + 12 * q^21 - 6 * q^22 - 16 * q^24 - 12 * q^25 + 2 * q^28 - 13 * q^30 + 6 * q^33 - 30 * q^34 + 35 * q^36 + 12 * q^37 - 24 * q^40 - 13 * q^42 - 6 * q^45 - 18 * q^46 - 34 * q^48 - 168 * q^49 - 28 * q^52 - 38 * q^54 - 44 * q^57 - 34 * q^58 - 76 * q^60 + 4 * q^61 + 18 * q^64 - 46 * q^66 - 18 * q^69 + 72 * q^70 - 29 * q^72 - 20 * q^73 + 16 * q^76 + 5 * q^78 - 30 * q^81 - 20 * q^82 - 18 * q^84 - 76 * q^85 + 6 * q^88 + 2 * q^90 - 52 * q^93 + 96 * q^94 - 50 * q^96 - 72 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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