LMFDB - Embedded newform 280.2.br.a.123.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(67,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))

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

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

chi := DirichletCharacter("280.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.br (of order $12$, 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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$176$
Relative dimension:	$44$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			123.14
Character	$\chi$	$=$	280.123
Dual form			280.2.br.a.107.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.786756 + 1.17517i) q^{2} +(-2.51296 + 0.673346i) q^{3} +(-0.762030 - 1.84914i) q^{4} +(-2.09775 + 0.774229i) q^{5} +(1.18579 - 3.48291i) q^{6} +(0.419863 - 2.61222i) q^{7} +(2.77258 + 0.559308i) q^{8} +(3.26351 - 1.88419i) q^{9} +O(q^{10})$	\(q+(-0.786756 + 1.17517i) q^{2} +(-2.51296 + 0.673346i) q^{3} +(-0.762030 - 1.84914i) q^{4} +(-2.09775 + 0.774229i) q^{5} +(1.18579 - 3.48291i) q^{6} +(0.419863 - 2.61222i) q^{7} +(2.77258 + 0.559308i) q^{8} +(3.26351 - 1.88419i) q^{9} +(0.740572 - 3.07434i) q^{10} +(0.673124 - 1.16589i) q^{11} +(3.16006 + 4.13370i) q^{12} +(-3.02874 + 3.02874i) q^{13} +(2.73947 + 2.54859i) q^{14} +(4.75025 - 3.35812i) q^{15} +(-2.83862 + 2.81820i) q^{16} +(1.09352 + 4.08108i) q^{17} +(-0.353352 + 5.31757i) q^{18} +(6.52363 - 3.76642i) q^{19} +(3.03021 + 3.28905i) q^{20} +(0.703832 + 6.84714i) q^{21} +(0.840524 + 1.70830i) q^{22} +(2.25799 + 0.605027i) q^{23} +(-7.34399 + 0.461383i) q^{24} +(3.80114 - 3.24828i) q^{25} +(-1.17639 - 5.94214i) q^{26} +(-1.41352 + 1.41352i) q^{27} +(-5.15031 + 1.21421i) q^{28} +3.41296 q^{29} +(0.209064 + 8.22436i) q^{30} +(-5.73934 - 3.31361i) q^{31} +(-1.07855 - 5.55308i) q^{32} +(-0.906492 + 3.38307i) q^{33} +(-5.65627 - 1.92574i) q^{34} +(1.14169 + 5.80487i) q^{35} +(-5.97102 - 4.59887i) q^{36} +(2.39958 - 8.95535i) q^{37} +(-0.706336 + 10.6296i) q^{38} +(5.57171 - 9.65049i) q^{39} +(-6.24921 + 0.973319i) q^{40} +9.58202 q^{41} +(-8.60027 - 4.55991i) q^{42} +(3.73207 + 3.73207i) q^{43} +(-2.66882 - 0.356259i) q^{44} +(-5.38725 + 6.47927i) q^{45} +(-2.48749 + 2.17751i) q^{46} +(0.998016 - 3.72465i) q^{47} +(5.23572 - 8.99340i) q^{48} +(-6.64743 - 2.19355i) q^{49} +(0.826705 + 7.02257i) q^{50} +(-5.49595 - 9.51927i) q^{51} +(7.90854 + 3.29256i) q^{52} +(0.0240790 + 0.0898639i) q^{53} +(-0.549027 - 2.77322i) q^{54} +(-0.509386 + 2.96689i) q^{55} +(2.62514 - 7.00776i) q^{56} +(-13.8575 + 13.8575i) q^{57} +(-2.68516 + 4.01079i) q^{58} +(0.663996 + 0.383358i) q^{59} +(-9.82947 - 6.22488i) q^{60} +(1.18730 - 0.685485i) q^{61} +(8.40950 - 4.13768i) q^{62} +(-3.55170 - 9.31613i) q^{63} +(7.37435 + 3.10145i) q^{64} +(4.00860 - 8.69848i) q^{65} +(-3.26248 - 3.72693i) q^{66} +(-2.24546 - 8.38018i) q^{67} +(6.71317 - 5.13197i) q^{68} -6.08164 q^{69} +(-7.71992 - 3.22534i) q^{70} +1.47220i q^{71} +(10.1022 - 3.39875i) q^{72} +(0.914941 - 0.245158i) q^{73} +(8.63614 + 9.86558i) q^{74} +(-7.36490 + 10.7223i) q^{75} +(-11.9358 - 9.19296i) q^{76} +(-2.76293 - 2.24786i) q^{77} +(6.95735 + 14.1403i) q^{78} +(1.50999 + 2.61539i) q^{79} +(3.77279 - 8.10963i) q^{80} +(-3.05223 + 5.28661i) q^{81} +(-7.53871 + 11.2605i) q^{82} +(-7.12999 - 7.12999i) q^{83} +(12.1250 - 6.51921i) q^{84} +(-5.45362 - 7.71445i) q^{85} +(-7.32203 + 1.44957i) q^{86} +(-8.57663 + 2.29810i) q^{87} +(2.51838 - 2.85602i) q^{88} +(-3.89233 + 2.24724i) q^{89} +(-3.37577 - 11.4285i) q^{90} +(6.64008 + 9.18339i) q^{91} +(-0.601879 - 4.63639i) q^{92} +(16.6540 + 4.46242i) q^{93} +(3.59188 + 4.10322i) q^{94} +(-10.7689 + 12.9518i) q^{95} +(6.44950 + 13.2285i) q^{96} +(10.9372 - 10.9372i) q^{97} +(7.80769 - 6.08604i) q^{98} -5.07317i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$-1$	$-1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−0.786756	+	1.17517i	−0.556320	+	0.830968i
$2$	−0.786756	+	1.17517i	−0.556320	+	0.830968i
$3$	−2.51296	+	0.673346i	−1.45086	+	0.388757i	−0.896323	−	0.443402i	$-0.853771\pi$
$3$	−2.51296	+	0.673346i	−1.45086	+	0.388757i	−0.554537	+	0.832159i	$0.687105\pi$
$4$	−0.762030	−	1.84914i	−0.381015	−	0.924569i
$5$	−2.09775	+	0.774229i	−0.938144	+	0.346246i
$5$	−2.09775	+	0.774229i	−0.938144	+	0.346246i
$6$	1.18579	−	3.48291i	0.484099	−	1.42189i
$7$	0.419863	−	2.61222i	0.158693	−	0.987328i
$7$	0.419863	−	2.61222i	0.158693	−	0.987328i
$8$	2.77258	+	0.559308i	0.980253	+	0.197745i
$9$	3.26351	−	1.88419i	1.08784	−	0.628063i
$10$	0.740572	−	3.07434i	0.234189	−	0.972191i
$11$	0.673124	−	1.16589i	0.202955	−	0.351528i	−0.746525	−	0.665358i	$-0.768279\pi$
$11$	0.673124	−	1.16589i	0.202955	−	0.351528i	0.949479	+	0.313830i	$0.101612\pi$
$12$	3.16006	+	4.13370i	0.912232	+	1.19330i
$13$	−3.02874	+	3.02874i	−0.840020	+	0.840020i	−0.988861	−	0.148841i	$-0.952446\pi$
$13$	−3.02874	+	3.02874i	−0.840020	+	0.840020i	0.148841	+	0.988861i	$0.452446\pi$
$14$	2.73947	+	2.54859i	0.732153	+	0.681140i
$15$	4.75025	−	3.35812i	1.22651	−	0.867064i
$16$	−2.83862	+	2.81820i	−0.709655	+	0.704549i
$17$	1.09352	+	4.08108i	0.265218	+	0.989806i	0.962117	+	0.272637i	$0.0878958\pi$
$17$	1.09352	+	4.08108i	0.265218	+	0.989806i	−0.696899	+	0.717169i	$0.745438\pi$
$18$	−0.353352	+	5.31757i	−0.0832859	+	1.25336i
$19$	6.52363	−	3.76642i	1.49662	−	0.864075i	0.496630	−	0.867962i	$-0.334571\pi$
$19$	6.52363	−	3.76642i	1.49662	−	0.864075i	0.999992	+	0.00388708i	$0.00123730\pi$
$20$	3.03021	+	3.28905i	0.677575	+	0.735454i
$21$	0.703832	+	6.84714i	0.153589	+	1.49417i
$22$	0.840524	+	1.70830i	0.179200	+	0.364211i
$23$	2.25799	+	0.605027i	0.470824	+	0.126157i	0.486427	−	0.873721i	$-0.338300\pi$
$23$	2.25799	+	0.605027i	0.470824	+	0.126157i	−0.0156029	+	0.999878i	$0.504967\pi$
$24$	−7.34399	+	0.461383i	−1.49909	+	0.0941795i
$25$	3.80114	−	3.24828i	0.760228	−	0.649657i
$26$	−1.17639	−	5.94214i	−0.230709	−	1.16535i
$27$	−1.41352	+	1.41352i	−0.272033	+	0.272033i
$28$	−5.15031	+	1.21421i	−0.973317	+	0.229464i
$29$	3.41296			0.633770			0.316885	−	0.948464i	$-0.397363\pi$
$29$	3.41296			0.633770			0.316885	+	0.948464i	$0.397363\pi$
$30$	0.209064	+	8.22436i	0.0381697	+	1.50156i
$31$	−5.73934	−	3.31361i	−1.03082	−	0.595142i	−0.113598	−	0.993527i	$-0.536238\pi$
$31$	−5.73934	−	3.31361i	−1.03082	−	0.595142i	−0.917218	+	0.398385i	$0.869571\pi$
$32$	−1.07855	−	5.55308i	−0.190662	−	0.981656i
$33$	−0.906492	+	3.38307i	−0.157800	+	0.588917i
$34$	−5.65627	−	1.92574i	−0.970043	−	0.330262i
$35$	1.14169	+	5.80487i	0.192981	+	0.981202i
$36$	−5.97102	−	4.59887i	−0.995170	−	0.766479i
$37$	2.39958	−	8.95535i	0.394488	−	1.47225i	−0.428162	−	0.903702i	$-0.640839\pi$
$37$	2.39958	−	8.95535i	0.394488	−	1.47225i	0.822650	−	0.568548i	$-0.192495\pi$
$38$	−0.706336	+	10.6296i	−0.114583	+	1.72435i
$39$	5.57171	−	9.65049i	0.892188	−	1.54531i
$40$	−6.24921	+	0.973319i	−0.988087	+	0.153895i
$41$	9.58202			1.49646			0.748230	−	0.663439i	$-0.230904\pi$
$41$	9.58202			1.49646			0.748230	+	0.663439i	$0.230904\pi$
$42$	−8.60027	−	4.55991i	−1.32705	−	0.703609i
$43$	3.73207	+	3.73207i	0.569135	+	0.569135i	0.931886	−	0.362751i	$-0.118162\pi$
$43$	3.73207	+	3.73207i	0.569135	+	0.569135i	−0.362751	+	0.931886i	$0.618162\pi$
$44$	−2.66882	−	0.356259i	−0.402340	−	0.0537081i
$45$	−5.38725	+	6.47927i	−0.803084	+	0.965873i
$46$	−2.48749	+	2.17751i	−0.366761	+	0.321056i
$47$	0.998016	−	3.72465i	0.145576	−	0.543296i	−0.854153	−	0.520021i	$-0.825924\pi$
$47$	0.998016	−	3.72465i	0.145576	−	0.543296i	0.999729	−	0.0232746i	$-0.00740921\pi$
$48$	5.23572	−	8.99340i	0.755712	−	1.29809i
$49$	−6.64743	−	2.19355i	−0.949633	−	0.313365i
$50$	0.826705	+	7.02257i	0.116914	+	0.993142i
$51$	−5.49595	−	9.51927i	−0.769588	−	1.33296i
$52$	7.90854	+	3.29256i	1.09672	+	0.456596i
$53$	0.0240790	+	0.0898639i	0.00330750	+	0.0123438i	0.967560	−	0.252642i	$-0.0812994\pi$
$53$	0.0240790	+	0.0898639i	0.00330750	+	0.0123438i	−0.964252	+	0.264986i	$0.914633\pi$
$54$	−0.549027	−	2.77322i	−0.0747131	−	0.377388i
$55$	−0.509386	+	2.96689i	−0.0686856	+	0.400056i
$56$	2.62514	−	7.00776i	0.350799	−	0.936451i
$57$	−13.8575	+	13.8575i	−1.83547	+	1.83547i
$58$	−2.68516	+	4.01079i	−0.352579	+	0.526642i
$59$	0.663996	+	0.383358i	0.0864449	+	0.0499090i	0.542599	−	0.839992i	$-0.317440\pi$
$59$	0.663996	+	0.383358i	0.0864449	+	0.0499090i	−0.456154	+	0.889901i	$0.650774\pi$
$60$	−9.82947	−	6.22488i	−1.26898	−	0.803628i
$61$	1.18730	−	0.685485i	0.152018	−	0.0877674i	−0.422062	−	0.906567i	$-0.638693\pi$
$61$	1.18730	−	0.685485i	0.152018	−	0.0877674i	0.574079	+	0.818800i	$0.305360\pi$
$62$	8.40950	−	4.13768i	1.06801	−	0.525486i
$63$	−3.55170	−	9.31613i	−0.447472	−	1.17372i
$64$	7.37435	+	3.10145i	0.921794	+	0.387681i
$65$	4.00860	−	8.69848i	0.497206	−	1.07891i
$66$	−3.26248	−	3.72693i	−0.401584	−	0.458753i
$67$	−2.24546	−	8.38018i	−0.274327	−	1.02380i	−0.956291	−	0.292416i	$-0.905541\pi$
$67$	−2.24546	−	8.38018i	−0.274327	−	1.02380i	0.681964	−	0.731386i	$-0.261126\pi$
$68$	6.71317	−	5.13197i	0.814092	−	0.622343i
$69$	−6.08164			−0.732144
$70$	−7.71992	−	3.22534i	−0.922707	−	0.385502i
$71$			1.47220i			0.174718i	0.996177	+	0.0873590i	$0.0278427\pi$
$71$			1.47220i			0.174718i	−0.996177	+	0.0873590i	$0.972157\pi$
$72$	10.1022	−	3.39875i	1.19055	−	0.400546i
$73$	0.914941	−	0.245158i	0.107086	−	0.0286935i	−0.204878	−	0.978787i	$-0.565680\pi$
$73$	0.914941	−	0.245158i	0.107086	−	0.0286935i	0.311964	+	0.950094i	$0.399013\pi$
$74$	8.63614	+	9.86558i	1.00393	+	1.14685i
$75$	−7.36490	+	10.7223i	−0.850425	+	1.23810i
$76$	−11.9358	−	9.19296i	−1.36913	−	1.05450i
$77$	−2.76293	−	2.24786i	−0.314866	−	0.256168i
$78$	6.95735	+	14.1403i	0.787765	+	1.60107i
$79$	1.50999	+	2.61539i	0.169888	+	0.294254i	0.938380	−	0.345605i	$-0.112326\pi$
$79$	1.50999	+	2.61539i	0.169888	+	0.294254i	−0.768493	+	0.639859i	$0.778993\pi$
$80$	3.77279	−	8.10963i	0.421811	−	0.906684i
$81$	−3.05223	+	5.28661i	−0.339136	+	0.587402i
$82$	−7.53871	+	11.2605i	−0.832512	+	1.24351i
$83$	−7.12999	−	7.12999i	−0.782619	−	0.782619i	0.197653	−	0.980272i	$-0.436668\pi$
$83$	−7.12999	−	7.12999i	−0.782619	−	0.782619i	−0.980272	+	0.197653i	$0.936668\pi$
$84$	12.1250	−	6.51921i	1.32294	−	0.711304i
$85$	−5.45362	−	7.71445i	−0.591529	−	0.836750i
$86$	−7.32203	+	1.44957i	−0.789555	+	0.156312i
$87$	−8.57663	+	2.29810i	−0.919512	+	0.246382i
$88$	2.51838	−	2.85602i	0.268460	−	0.304453i
$89$	−3.89233	+	2.24724i	−0.412586	+	0.238207i	−0.691900	−	0.721993i	$-0.743226\pi$
$89$	−3.89233	+	2.24724i	−0.412586	+	0.238207i	0.279314	+	0.960200i	$0.409893\pi$
$90$	−3.37577	−	11.4285i	−0.355837	−	1.20467i
$91$	6.64008	+	9.18339i	0.696070	+	0.962681i
$92$	−0.601879	−	4.63639i	−0.0627503	−	0.483377i
$93$	16.6540	+	4.46242i	1.72694	+	0.462731i
$94$	3.59188	+	4.10322i	0.370474	+	0.423215i
$95$	−10.7689	+	12.9518i	−1.10486	+	1.32883i
$96$	6.44950	+	13.2285i	0.658250	+	1.35012i
$97$	10.9372	−	10.9372i	1.11050	−	1.11050i	0.117417	−	0.993083i	$-0.462539\pi$
$97$	10.9372	−	10.9372i	1.11050	−	1.11050i	0.993083	−	0.117417i	$-0.0374614\pi$
$98$	7.80769	−	6.08604i	0.788696	−	0.614783i
$99$		−	5.07317i		−	0.509873i
$100$	−8.90311	−	4.55354i	−0.890311	−	0.455354i
$101$	10.7115	+	6.18426i	1.06583	+	0.615357i	0.927039	−	0.374964i	$-0.122345\pi$
$101$	10.7115	+	6.18426i	1.06583	+	0.615357i	0.138791	+	0.990322i	$0.455678\pi$
$102$	15.5107	+	1.03069i	1.53579	+	0.102053i
$103$	5.40781	+	1.44902i	0.532848	+	0.142776i	0.515203	−	0.857068i	$-0.327717\pi$
$103$	5.40781	+	1.44902i	0.532848	+	0.142776i	0.0176448	+	0.999844i	$0.494383\pi$
$104$	−10.0914	+	6.70340i	−0.989543	+	0.657323i
$105$	−6.77772	−	13.8187i	−0.661438	−	1.34856i
$106$	−0.124549	−	0.0424042i	−0.0120973	−	0.00411866i
$107$	2.39905	+	0.642824i	0.231925	+	0.0621441i	0.372910	−	0.927868i	$-0.378360\pi$
$107$	2.39905	+	0.642824i	0.231925	+	0.0621441i	−0.140985	+	0.990012i	$0.545027\pi$
$108$	3.69095	+	1.53665i	0.355161	+	0.147864i
$109$	1.16090	−	2.01074i	0.111194	−	0.192594i	−0.805058	−	0.593196i	$-0.797866\pi$
$109$	1.16090	−	2.01074i	0.111194	−	0.192594i	0.916252	+	0.400602i	$0.131199\pi$
$110$	−3.08583	−	2.93283i	−0.294222	−	0.279635i
$111$			24.1202i			2.28939i
$112$	6.16993	+	8.59837i	0.583004	+	0.812469i
$113$	−1.73042	−	1.73042i	−0.162784	−	0.162784i	0.621015	−	0.783799i	$-0.286721\pi$
$113$	−1.73042	−	1.73042i	−0.162784	−	0.162784i	−0.783799	+	0.621015i	$0.786721\pi$
$114$	−5.38240	−	27.1874i	−0.504108	−	2.54633i
$115$	−5.20514	+	0.479005i	−0.485382	+	0.0446675i
$116$	−2.60078	−	6.31103i	−0.241476	−	0.585964i
$117$	−4.17760	+	15.5910i	−0.386220	+	1.44139i
$118$	−0.972912	+	0.478696i	−0.0895638	+	0.0440675i
$119$	11.1198	−	1.14303i	1.01935	−	0.104781i
$120$	15.0487	−	6.65380i	1.37375	−	0.607406i
$121$	4.59381	+	7.95671i	0.417619	+	0.723337i
$122$	−0.128553	+	1.93458i	−0.0116386	+	0.175149i
$123$	−24.0793	+	6.45202i	−2.17115	+	0.581759i
$124$	−1.75377	+	13.1379i	−0.157493	+	1.17982i
$125$	−5.45893	+	9.75705i	−0.488262	+	0.872697i
$126$	13.7423	+	3.15568i	1.22426	+	0.281131i
$127$	2.84934	+	2.84934i	0.252838	+	0.252838i	0.822133	−	0.569295i	$-0.192784\pi$
$127$	2.84934	+	2.84934i	0.252838	+	0.252838i	−0.569295	+	0.822133i	$0.692784\pi$
$128$	−9.44653	+	6.22600i	−0.834963	+	0.550306i
$129$	−11.8915	−	6.86558i	−1.04699	−	0.604480i
$130$	7.06836	+	11.5544i	0.619936	+	1.01338i
$131$	−7.16245	−	12.4057i	−0.625786	−	1.08389i	−0.988388	−	0.151949i	$-0.951445\pi$
$131$	−7.16245	−	12.4057i	−0.625786	−	1.08389i	0.362603	−	0.931944i	$-0.381888\pi$
$132$	6.94654	−	0.901776i	0.604619	−	0.0784895i
$133$	−7.09970	−	18.6226i	−0.615622	−	1.61478i
$134$	11.6147	+	3.95436i	1.00336	+	0.341605i
$135$	1.87083	−	4.05961i	0.161016	−	0.349396i
$136$	0.749291	+	11.9267i	0.0642512	+	1.02271i
$137$	−0.766688	−	2.86132i	−0.0655026	−	0.244459i	0.925410	−	0.378968i	$-0.123721\pi$
$137$	−0.766688	−	2.86132i	−0.0655026	−	0.244459i	−0.990912	+	0.134509i	$0.957054\pi$
$138$	4.78477	−	7.14694i	0.407306	−	0.608388i
$139$			22.6664i			1.92254i	0.275607	+	0.961270i	$0.411121\pi$
$139$			22.6664i			1.92254i	−0.275607	+	0.961270i	$0.588879\pi$
$140$	9.86400	−	6.53463i	0.833661	−	0.552277i
$141$			10.0319i			0.844839i
$142$	−1.73008	−	1.15826i	−0.145185	−	0.0971992i
$143$	1.49244	+	5.56987i	0.124804	+	0.465776i
$144$	−3.95385	+	14.5457i	−0.329488	+	1.21214i
$145$	−7.15954	+	2.64241i	−0.594567	+	0.219440i
$146$	−0.431734	+	1.26809i	−0.0357306	+	0.104948i
$147$	18.1818	+	1.03629i	1.49961	+	0.0854719i
$148$	−18.3882	+	2.38710i	−1.51150	+	0.196218i
$149$	2.33400	+	4.04261i	0.191209	+	0.331183i	0.945651	−	0.325183i	$-0.105426\pi$
$149$	2.33400	+	4.04261i	0.191209	+	0.331183i	−0.754442	+	0.656366i	$0.772093\pi$
$150$	−6.80610	−	17.0908i	−0.555716	−	1.39546i
$151$	−1.59837	−	0.922821i	−0.130074	−	0.0750981i	0.433551	−	0.901129i	$-0.357260\pi$
$151$	−1.59837	−	0.922821i	−0.130074	−	0.0750981i	−0.563625	+	0.826031i	$0.690594\pi$
$152$	20.1938	−	6.79396i	1.63794	−	0.551063i
$153$	11.2582	+	11.2582i	0.910175	+	0.910175i
$154$	4.81537	−	1.47839i	0.388033	−	0.119132i
$155$	14.6052	+	2.50757i	1.17312	+	0.201413i
$156$	−22.0909	−	2.94890i	−1.76869	−	0.236101i
$157$	−3.10033	+	0.830732i	−0.247434	+	0.0662996i	−0.380404	−	0.924820i	$-0.624215\pi$
$157$	−3.10033	+	0.830732i	−0.247434	+	0.0662996i	0.132971	+	0.991120i	$0.457548\pi$
$158$	−4.26151	−	0.283177i	−0.339027	−	0.0225284i
$159$	−0.121019	−	0.209611i	−0.00959744	−	0.0166232i
$160$	6.56189	+	10.8140i	0.518763	+	0.854918i
$161$	2.52851	−	5.64435i	0.199275	−	0.444837i
$162$	−3.81129	−	7.74615i	−0.299443	−	0.608595i
$163$	3.29766	−	12.3070i	0.258293	−	0.963961i	−0.707936	−	0.706276i	$-0.750374\pi$
$163$	3.29766	−	12.3070i	0.258293	−	0.963961i	0.966229	−	0.257685i	$-0.0829596\pi$
$164$	−7.30179	−	17.7185i	−0.570174	−	1.38358i
$165$	−0.717678	−	7.79868i	−0.0558711	−	0.607127i
$166$	13.9885	−	2.76936i	1.08572	−	0.214944i
$167$	−10.3330	−	10.3330i	−0.799593	−	0.799593i	0.183438	−	0.983031i	$-0.441277\pi$
$167$	−10.3330	−	10.3330i	−0.799593	−	0.799593i	−0.983031	+	0.183438i	$0.941277\pi$
$168$	−1.87823	+	19.3779i	−0.144909	+	1.49503i
$169$		−	5.34648i		−	0.411267i
$170$	13.3564	−	0.339522i	1.02439	−	0.0260402i
$171$	14.1933	−	24.5835i	1.08539	−	1.87995i
$172$	4.05716	−	9.74506i	0.309356	−	0.743054i
$173$	3.53568	+	0.947383i	0.268813	+	0.0720282i	0.390708	−	0.920515i	$-0.372230\pi$
$173$	3.53568	+	0.947383i	0.268813	+	0.0720282i	−0.121895	+	0.992543i	$0.538897\pi$
$174$	4.04707	−	11.8870i	0.306807	−	0.901152i
$175$	−6.88929	−	11.2933i	−0.520781	−	0.853690i
$176$	1.37495	+	5.20650i	0.103641	+	0.392455i
$177$	−1.92673	−	0.516266i	−0.144822	−	0.0388049i
$178$	0.421437	−	6.34217i	0.0315880	−	0.475365i
$179$	0.0344229	+	0.0198741i	0.00257289	+	0.00148546i	0.501286	−	0.865282i	$-0.332860\pi$
$179$	0.0344229	+	0.0198741i	0.00257289	+	0.00148546i	−0.498713	+	0.866767i	$0.666194\pi$
$180$	16.0863	+	5.02436i	1.19900	+	0.374494i
$181$		−	22.4617i		−	1.66957i	−0.550577	−	0.834784i	$-0.685592\pi$
$181$		−	22.4617i		−	1.66957i	0.550577	−	0.834784i	$-0.314408\pi$
$182$	−16.0161	+	0.578112i	−1.18719	+	0.0428525i
$183$	−2.52206	+	2.52206i	−0.186436	+	0.186436i
$184$	5.92205	+	2.94040i	0.436580	+	0.216769i
$185$	1.89977	+	20.6439i	0.139674	+	1.51777i
$186$	−18.3467	+	16.0603i	−1.34524	+	1.17760i
$187$	5.49414	+	1.47215i	0.401771	+	0.107654i
$188$	−7.64790	+	0.992824i	−0.557781	+	0.0724092i
$189$	3.09895	+	4.28592i	0.225416	+	0.311755i
$190$	−6.74802	−	22.8451i	−0.489553	−	1.65736i
$191$	20.3885	−	11.7713i	1.47526	−	0.851743i	0.475651	−	0.879634i	$-0.342212\pi$
$191$	20.3885	−	11.7713i	1.47526	−	0.851743i	0.999611	+	0.0278906i	$0.00887902\pi$
$192$	−20.6198	−	2.82833i	−1.48811	−	0.204117i
$193$	−4.43408	+	1.18811i	−0.319172	+	0.0855218i	−0.414848	−	0.909891i	$-0.636165\pi$
$193$	−4.43408	+	1.18811i	−0.319172	+	0.0855218i	0.0956763	+	0.995413i	$0.469499\pi$
$194$	4.24810	+	21.4578i	0.304996	+	1.54058i
$195$	−4.21639	+	24.5581i	−0.301942	+	1.75864i
$196$	1.00936	+	13.9636i	0.0720973	+	0.997398i
$197$	15.8550	+	15.8550i	1.12962	+	1.12962i	0.990238	+	0.139386i	$0.0445129\pi$
$197$	15.8550	+	15.8550i	1.12962	+	1.12962i	0.139386	+	0.990238i	$0.455487\pi$
$198$	5.96182	+	3.99135i	0.423688	+	0.283653i
$199$	−1.70369	+	2.95087i	−0.120771	+	0.209182i	−0.920072	−	0.391749i	$-0.871870\pi$
$199$	−1.70369	+	2.95087i	−0.120771	+	0.209182i	0.799301	+	0.600931i	$0.205203\pi$
$200$	12.3557	−	6.88010i	0.873682	−	0.486497i
$201$	11.2855	+	19.5471i	0.796020	+	1.37875i
$202$	−15.6948	+	7.72224i	−1.10429	+	0.543335i
$203$	1.43297	−	8.91541i	0.100575	−	0.625739i
$204$	−13.4144	+	17.4168i	−0.939193	+	1.21942i
$205$	−20.1007	+	7.41868i	−1.40390	+	0.518143i
$206$	−5.95747	+	5.21506i	−0.415077	+	0.363350i
$207$	8.50897	−	2.27997i	0.591414	−	0.158469i
$208$	0.0618541	−	17.1330i	0.00428881	−	1.18796i
$209$		−	10.1411i		−	0.701472i
$210$	21.5716	+	2.90698i	1.48859	+	0.200601i
$211$	1.03347			0.0711473			0.0355736	−	0.999367i	$-0.488674\pi$
$211$	1.03347			0.0711473			0.0355736	+	0.999367i	$0.488674\pi$
$212$	0.147822	−	0.113004i	0.0101524	−	0.00776117i
$213$	−0.991301	−	3.69958i	−0.0679228	−	0.253491i
$214$	−2.64289	+	2.31354i	−0.180664	+	0.158150i
$215$	−10.7184	−	4.93948i	−0.730991	−	0.336870i
$216$	−4.70969	+	3.12850i	−0.320454	+	0.212868i
$217$	−11.0656	+	13.6012i	−0.751184	+	0.923309i
$218$	1.44961	+	2.94621i	0.0981798	+	0.199543i
$219$	−2.13414	+	1.23214i	−0.144212	+	0.0832606i
$220$	5.87436	−	1.31894i	0.396049	−	0.0889227i
$221$	−15.6725	−	9.04851i	−1.05425	−	0.608669i
$222$	−28.3452	−	18.9767i	−1.90241	−	1.27363i
$223$	11.4185	−	11.4185i	0.764637	−	0.764637i	−0.212519	−	0.977157i	$-0.568167\pi$
$223$	11.4185	−	11.4185i	0.764637	−	0.764637i	0.977157	+	0.212519i	$0.0681669\pi$
$224$	−14.9587	+	0.485877i	−0.999473	+	0.0324641i
$225$	6.28468	−	17.7629i	0.418979	−	1.18419i
$226$	3.39495	−	0.672113i	0.225829	−	0.0447083i
$227$	1.50910	+	5.63203i	0.100162	+	0.373811i	0.997752	−	0.0670219i	$-0.0213497\pi$
$227$	1.50910	+	5.63203i	0.100162	+	0.373811i	−0.897589	+	0.440833i	$0.854683\pi$
$228$	36.1843	+	15.0646i	2.39637	+	0.997679i
$229$	−4.74804	−	8.22385i	−0.313759	−	0.543447i	0.665414	−	0.746475i	$-0.268255\pi$
$229$	−4.74804	−	8.22385i	−0.313759	−	0.543447i	−0.979173	+	0.203028i	$0.934922\pi$
$230$	3.53226	−	6.49376i	0.232910	−	0.428186i
$231$	8.45674	+	3.78839i	0.556413	+	0.249258i
$232$	9.46268	+	1.90889i	0.621255	+	0.125325i
$233$	−0.122812	+	0.458341i	−0.00804569	+	0.0300269i	−0.969832	−	0.243774i	$-0.921614\pi$
$233$	−0.122812	+	0.458341i	−0.00804569	+	0.0300269i	0.961786	+	0.273801i	$0.0882810\pi$
$234$	−15.0353	−	17.1757i	−0.982888	−	1.12281i
$235$	0.790139	+	8.58608i	0.0515430	+	0.560094i
$236$	0.202897	−	1.51995i	0.0132075	−	0.0989403i
$237$	−5.55562	−	5.55562i	−0.360876	−	0.360876i
$238$	−7.40533	+	13.9669i	−0.480016	+	0.905340i
$239$	−15.5439			−1.00545			−0.502724	−	0.864447i	$-0.667669\pi$
$239$	−15.5439			−1.00545			−0.502724	+	0.864447i	$0.667669\pi$
$240$	−4.02030	+	22.9196i	−0.259509	+	1.47945i
$241$	10.3350	−	17.9007i	0.665735	−	1.15309i	−0.313350	−	0.949638i	$-0.601451\pi$
$241$	10.3350	−	17.9007i	0.665735	−	1.15309i	0.979085	−	0.203450i	$-0.0652154\pi$
$242$	−12.9647	−	0.861501i	−0.833400	−	0.0553794i
$243$	5.66257	−	21.1330i	0.363254	−	1.35568i
$244$	−2.17231	−	1.67311i	−0.139068	−	0.107110i
$245$	15.6430	−	0.545103i	0.999393	−	0.0348254i
$246$	11.3623	−	33.3733i	0.724435	−	2.12780i
$247$	−8.35086	+	31.1658i	−0.531352	+	1.98303i
$248$	−14.0594	−	12.3973i	−0.892775	−	0.787229i
$249$	22.7184	+	13.1165i	1.43972	+	0.831222i
$250$	−7.17131	−	14.0916i	−0.453553	−	0.891229i
$251$	−18.3023			−1.15523			−0.577615	−	0.816310i	$-0.696016\pi$
$251$	−18.3023			−1.15523			−0.577615	+	0.816310i	$0.696016\pi$
$252$	−14.5203	+	13.6667i	−0.914693	+	0.860924i
$253$	2.22530	−	2.22530i	0.139903	−	0.139903i
$254$	−5.59019	+	1.10671i	−0.350760	+	0.0694414i
$255$	18.8993	+	15.7140i	1.18352	+	0.984046i
$256$	0.115526	−	15.9996i	0.00722037	−	0.999974i
$257$	−13.6246	−	3.65071i	−0.849882	−	0.227725i	−0.192513	−	0.981294i	$-0.561664\pi$
$257$	−13.6246	−	3.65071i	−0.849882	−	0.227725i	−0.657369	+	0.753569i	$0.728331\pi$
$258$	17.4239	−	8.57299i	1.08477	−	0.533731i
$259$	−22.3859	−	10.0283i	−1.39099	−	0.623125i
$260$	−19.1394	−	0.783960i	−1.18697	−	0.0486192i
$261$	11.1382	−	6.43066i	0.689439	−	0.398048i
$262$	20.2139	+	1.34321i	1.24882	+	0.0829839i
$263$	3.65103	+	13.6258i	0.225132	+	0.840205i	0.982351	+	0.187044i	$0.0598908\pi$
$263$	3.65103	+	13.6258i	0.225132	+	0.840205i	−0.757219	+	0.653161i	$0.773443\pi$
$264$	−4.40550	+	8.87282i	−0.271140	+	0.546084i
$265$	−0.120087	−	0.169870i	−0.00737688	−	0.0104350i
$266$	27.4703	+	6.30808i	1.68431	+	0.386773i
$267$	8.26812	−	8.26812i	0.506001	−	0.506001i
$268$	−13.7850	+	10.5381i	−0.842053	+	0.643718i
$269$	10.4789	−	18.1500i	0.638911	−	1.10663i	−0.346761	−	0.937953i	$-0.612719\pi$
$269$	10.4789	−	18.1500i	0.638911	−	1.10663i	0.985672	−	0.168673i	$-0.0539481\pi$
$270$	3.29883	+	5.39246i	0.200761	+	0.328175i
$271$	−19.6758	+	11.3598i	−1.19522	+	0.690061i	−0.959486	−	0.281756i	$-0.909083\pi$
$271$	−19.6758	+	11.3598i	−1.19522	+	0.690061i	−0.235735	+	0.971817i	$0.575750\pi$
$272$	−14.6054	−	8.50286i	−0.885580	−	0.515562i
$273$	−22.8699	−	18.6064i	−1.38415	−	1.12611i
$274$	3.96572	+	1.35017i	0.239578	+	0.0815670i
$275$	−1.22849	−	6.61819i	−0.0740806	−	0.399092i
$276$	4.63439	+	11.2458i	0.278958	+	0.676917i
$277$	7.75495	−	2.07793i	0.465950	−	0.124851i	−0.0182029	−	0.999834i	$-0.505794\pi$
$277$	7.75495	−	2.07793i	0.465950	−	0.124851i	0.484153	+	0.874983i	$0.339128\pi$
$278$	−26.6368	−	17.8329i	−1.59757	−	1.06955i
$279$	−24.9739			−1.49515
$280$	−0.0812860	+	16.7330i	−0.00485777	+	0.999988i
$281$	−16.3703			−0.976567			−0.488284	−	0.872685i	$-0.662377\pi$
$281$	−16.3703			−0.976567			−0.488284	+	0.872685i	$0.662377\pi$
$282$	−11.7892	−	7.89267i	−0.702034	−	0.470001i
$283$	19.1402	−	5.12860i	1.13777	−	0.304864i	0.359714	−	0.933062i	$-0.382874\pi$
$283$	19.1402	−	5.12860i	1.13777	−	0.304864i	0.778053	+	0.628199i	$0.216207\pi$
$284$	2.72230	−	1.12186i	0.161539	−	0.0665702i
$285$	18.3408	−	39.7986i	1.08641	−	2.35746i
$286$	−7.71971	−	2.62826i	−0.456476	−	0.155412i
$287$	4.02314	−	25.0304i	0.237478	−	1.47750i
$288$	−13.9829	−	16.0904i	−0.823951	−	0.948134i
$289$	−0.736955	+	0.425481i	−0.0433503	+	0.0250283i
$290$	2.52754	−	10.4926i	0.148422	−	0.616145i
$291$	−20.1202	+	34.8492i	−1.17947	+	2.04289i
$292$	−1.15054	−	1.50503i	−0.0673304	−	0.0880754i
$293$	−3.70370	+	3.70370i	−0.216373	+	0.216373i	−0.806968	−	0.590595i	$-0.798893\pi$
$293$	−3.70370	+	3.70370i	−0.216373	+	0.216373i	0.590595	+	0.806968i	$0.298893\pi$
$294$	−15.5224	+	20.5513i	−0.905286	+	1.19858i
$295$	−1.68971	−	0.290106i	−0.0983785	−	0.0168906i
$296$	11.6618	−	23.4873i	0.677829	−	1.36517i
$297$	0.696529	+	2.59948i	0.0404167	+	0.150837i
$298$	−6.58702	−	0.437707i	−0.381576	−	0.0253557i
$299$	−8.67132	+	5.00639i	−0.501476	+	0.289527i
$300$	25.4393	+	5.44800i	1.46874	+	0.314540i
$301$	11.3160	−	8.18204i	0.652241	−	0.471605i
$302$	2.34200	−	1.15232i	0.134767	−	0.0663085i
$303$	−31.0817	−	8.32831i	−1.78559	−	0.478449i
$304$	−7.90359	+	29.0763i	−0.453302	+	1.66764i
$305$	−1.95993	+	2.35722i	−0.112225	+	0.134974i
$306$	−22.0878	+	4.37281i	−1.26267	+	0.249977i
$307$	15.4323	−	15.4323i	0.880766	−	0.880766i	−0.112847	−	0.993612i	$-0.535997\pi$
$307$	15.4323	−	15.4323i	0.880766	−	0.880766i	0.993612	+	0.112847i	$0.0359969\pi$
$308$	−2.05117	+	6.82199i	−0.116876	+	0.388719i
$309$	−14.5653			−0.828593
$310$	−14.4376	+	15.1907i	−0.819998	+	0.862774i
$311$	13.2913	+	7.67374i	0.753681	+	0.435138i	0.827022	−	0.562169i	$-0.190033\pi$
$311$	13.2913	+	7.67374i	0.753681	+	0.435138i	−0.0733416	+	0.997307i	$0.523366\pi$
$312$	20.8456	−	23.6404i	1.18015	−	1.33837i
$313$	−1.54249	+	5.75664i	−0.0871866	+	0.325385i	−0.995719	−	0.0924290i	$-0.970537\pi$
$313$	−1.54249	+	5.75664i	−0.0871866	+	0.325385i	0.908533	+	0.417814i	$0.137204\pi$
$314$	1.46296	−	4.29699i	0.0825595	−	0.242493i
$315$	14.6634	+	16.7931i	0.826189	+	0.946184i
$316$	3.68555	−	4.78519i	0.207328	−	0.269188i
$317$	−0.917983	+	3.42596i	−0.0515591	+	0.192421i	−0.986902	−	0.161321i	$-0.948424\pi$
$317$	−0.917983	+	3.42596i	−0.0515591	+	0.192421i	0.935343	+	0.353743i	$0.115091\pi$
$318$	0.341540	+	0.0226953i	0.0191526	+	0.00127269i
$319$	2.29734	−	3.97912i	0.128627	−	0.222788i
$320$	−17.8708	−	0.796635i	−0.999008	−	0.0445332i
$321$	−6.46157			−0.360650
$322$	4.64373	+	7.41215i	0.258785	+	0.413063i
$323$	22.5048	+	22.5048i	1.25220	+	1.25220i
$324$	12.1016	+	1.61543i	0.672309	+	0.0897461i
$325$	−1.67445	+	21.3508i	−0.0928818	+	1.18433i
$326$	11.8683	+	13.5579i	0.657327	+	0.750904i
$327$	−1.56338	+	5.83460i	−0.0864550	+	0.322654i
$328$	26.5669	+	5.35930i	1.46691	+	0.295918i
$329$	−9.31058	−	4.17088i	−0.513309	−	0.229948i
$330$	9.72939	+	5.29227i	0.535585	+	0.291330i
$331$	1.78672	+	3.09470i	0.0982072	+	0.170100i	0.910943	−	0.412533i	$-0.135356\pi$
$331$	1.78672	+	3.09470i	0.0982072	+	0.170100i	−0.812735	+	0.582633i	$0.802023\pi$
$332$	−7.75107	+	18.6176i	−0.425395	+	1.02177i
$333$	−9.04252	−	33.7471i	−0.495527	−	1.84933i
$334$	20.2726	−	4.01345i	1.10927	−	0.219606i
$335$	11.1986	+	15.8410i	0.611845	+	0.865489i
$336$	−21.2945	−	17.4529i	−1.16171	−	0.952133i
$337$	−13.4979	+	13.4979i	−0.735276	+	0.735276i	−0.971660	−	0.236384i	$-0.924038\pi$
$337$	−13.4979	+	13.4979i	−0.735276	+	0.735276i	0.236384	+	0.971660i	$0.424038\pi$
$338$	6.28300	+	4.20637i	0.341750	+	0.228796i
$339$	5.51366	+	3.18331i	0.299461	+	0.172894i
$340$	−10.1093	+	15.9631i	−0.548252	+	0.865723i
$341$	−7.72658	+	4.46094i	−0.418418	+	0.241574i
$342$	17.7230	+	36.0207i	0.958352	+	1.94778i
$343$	−8.52106	+	16.4436i	−0.460094	+	0.887870i
$344$	8.26007	+	12.4348i	0.445353	+	0.670441i
$345$	12.7578	−	4.70858i	0.686856	−	0.253502i
$346$	−3.89505	+	3.40965i	−0.209399	+	0.183304i
$347$	4.91159	+	18.3303i	0.263668	+	0.984022i	0.963061	+	0.269285i	$0.0867872\pi$
$347$	4.91159	+	18.3303i	0.263668	+	0.984022i	−0.699393	+	0.714738i	$0.746546\pi$
$348$	10.7852	+	14.1082i	0.578145	+	0.756276i
$349$	34.4127			1.84207			0.921035	−	0.389480i	$-0.127345\pi$
$349$	34.4127			1.84207			0.921035	+	0.389480i	$0.127345\pi$
$350$	18.6916	+	0.788981i	0.999110	+	0.0421728i
$351$		−	8.56237i		−	0.457026i
$352$	−7.20026	−	2.48045i	−0.383775	−	0.132208i
$353$	−5.69832	+	1.52686i	−0.303291	+	0.0812666i	−0.407255	−	0.913314i	$-0.633514\pi$
$353$	−5.69832	+	1.52686i	−0.303291	+	0.0812666i	0.103964	+	0.994581i	$0.466847\pi$
$354$	2.12256	−	1.85805i	0.112813	−	0.0987544i
$355$	−1.13982	−	3.08831i	−0.0604954	−	0.163911i
$356$	7.12153	+	5.48500i	0.377440	+	0.290704i
$357$	−27.1740	+	10.3599i	−1.43820	+	0.548303i
$358$	−0.0504378	+	0.0248166i	−0.00266572	+	0.00131160i
$359$	7.06599	+	12.2387i	0.372929	+	0.645931i	0.990015	−	0.140964i	$-0.0450203\pi$
$359$	7.06599	+	12.2387i	0.372929	+	0.645931i	−0.617086	+	0.786896i	$0.711687\pi$
$360$	−18.5605	+	14.9511i	−0.978222	+	0.787994i
$361$	18.8718	−	32.6869i	0.993252	−	1.72036i
$362$	26.3963	+	17.6719i	1.38736	+	0.928815i
$363$	−16.9017	−	16.9017i	−0.887109	−	0.887109i
$364$	11.9214	−	19.2764i	0.624852	−	1.01036i
$365$	−1.72951	+	1.22265i	−0.0905268	+	0.0639966i
$366$	−0.979594	−	4.94809i	−0.0512042	−	0.258641i
$367$	17.0934	−	4.58016i	0.892269	−	0.239083i	0.216576	−	0.976266i	$-0.430511\pi$
$367$	17.0934	−	4.58016i	0.892269	−	0.239083i	0.675693	+	0.737183i	$0.263845\pi$
$368$	−8.11466	+	4.64602i	−0.423006	+	0.242191i
$369$	31.2711	−	18.0544i	1.62791	−	0.939872i
$370$	−25.7547	−	14.0092i	−1.33892	−	0.728303i
$371$	0.244854	−	0.0251691i	0.0127122	−	0.00130672i
$372$	−4.43920	−	34.1960i	−0.230162	−	1.77298i
$373$	20.1671	+	5.40375i	1.04421	+	0.279795i	0.739857	−	0.672764i	$-0.234893\pi$
$373$	20.1671	+	5.40375i	1.04421	+	0.279795i	0.304353	+	0.952559i	$0.401560\pi$
$374$	−6.05257	+	5.29830i	−0.312971	+	0.273969i
$375$	7.14823	−	28.1949i	0.369133	−	1.45598i
$376$	4.85030	−	9.76867i	0.250135	−	0.503780i
$377$	−10.3369	+	10.3369i	−0.532380	+	0.532380i
$378$	−7.47479	+	0.269807i	−0.384462	+	0.0138774i
$379$		−	8.01780i		−	0.411847i	−0.978568	−	0.205923i	$-0.933980\pi$
$379$		−	8.01780i		−	0.411847i	0.978568	−	0.205923i	$-0.0660198\pi$
$380$	32.1559	+	10.0435i	1.64956	+	0.515220i
$381$	−9.07889	−	5.24170i	−0.465126	−	0.268540i
$382$	−2.20754	+	33.2211i	−0.112947	+	1.69974i
$383$	−30.6150	−	8.20325i	−1.56435	−	0.419167i	−0.630313	−	0.776341i	$-0.717074\pi$
$383$	−30.6150	−	8.20325i	−1.56435	−	0.419167i	−0.934038	+	0.357174i	$0.883740\pi$
$384$	19.5465	−	22.0065i	0.997479	−	1.12301i
$385$	7.53632	+	2.57632i	0.384086	+	0.131301i
$386$	2.09231	−	6.14553i	0.106496	−	0.312799i
$387$	19.2116	+	5.14773i	0.976579	+	0.261674i
$388$	−28.5587	−	11.8899i	−1.44985	−	0.603616i
$389$	−10.4742	+	18.1418i	−0.531063	+	0.919828i	0.468280	+	0.883580i	$0.344874\pi$
$389$	−10.4742	+	18.1418i	−0.531063	+	0.919828i	−0.999343	+	0.0362475i	$0.988460\pi$
$390$	−25.5426	−	24.2762i	−1.29340	−	1.22927i
$391$			9.87664i			0.499483i
$392$	−17.2036	−	9.79975i	−0.868915	−	0.494962i
$393$	26.3523	+	26.3523i	1.32930	+	1.32930i
$394$	−31.1063	+	6.15825i	−1.56711	+	0.310248i
$395$	−5.19250	−	4.31735i	−0.261263	−	0.217230i
$396$	−9.38100	+	3.86591i	−0.471413	+	0.194269i
$397$	1.00605	−	3.75465i	0.0504924	−	0.188440i	−0.936073	−	0.351805i	$-0.885568\pi$
$397$	1.00605	−	3.75465i	0.0504924	−	0.188440i	0.986566	+	0.163365i	$0.0522347\pi$
$398$	−2.12738	−	4.32373i	−0.106636	−	0.216729i
$399$	30.3807	+	42.0172i	1.52094	+	2.10349i
$400$	−1.63568	+	19.9330i	−0.0817841	+	0.996650i
$401$	10.7819	+	18.6747i	0.538421	+	0.932572i	0.998989	+	0.0449481i	$0.0143122\pi$
$401$	10.7819	+	18.6747i	0.538421	+	0.932572i	−0.460568	+	0.887624i	$0.652354\pi$
$402$	−31.8501	−	2.11643i	−1.58854	−	0.105558i
$403$	27.4190	−	7.34690i	1.36584	−	0.365975i
$404$	3.27310	−	24.5196i	0.162843	−	1.21989i
$405$	2.30977	−	13.4531i	0.114773	−	0.668492i
$406$	9.34968	+	8.69823i	0.464017	+	0.431686i
$407$	−8.82569	−	8.82569i	−0.437473	−	0.437473i
$408$	−9.91374	−	29.4668i	−0.490803	−	1.45883i
$409$	30.1987	+	17.4352i	1.49323	+	0.862116i	0.999970	−	0.00776728i	$-0.00247243\pi$
$409$	30.1987	+	17.4352i	1.49323	+	0.862116i	0.493258	+	0.869883i	$0.335806\pi$
$410$	7.09618	−	29.4584i	0.350455	−	1.45485i
$411$	3.85332	+	6.67415i	0.190070	+	0.329211i
$412$	−1.44148	−	11.1040i	−0.0710167	−	0.547054i
$413$	1.28020	−	1.57355i	0.0629947	−	0.0774292i
$414$	−4.01514	+	11.7932i	−0.197333	+	0.579606i
$415$	20.4772	+	9.43672i	1.00519	+	0.463230i
$416$	20.0855	+	13.5522i	0.984771	+	0.664450i
$417$	−15.2624	−	56.9599i	−0.747401	−	2.78934i
$418$	11.9174	+	7.97854i	0.582901	+	0.390243i
$419$		−	1.80053i		−	0.0879618i	−0.999032	−	0.0439809i	$-0.985996\pi$
$419$		−	1.80053i		−	0.0879618i	0.999032	−	0.0439809i	$-0.0140041\pi$
$420$	−20.3878	+	23.0632i	−0.994823	+	1.12537i
$421$		−	7.84933i		−	0.382553i	−0.981536	−	0.191276i	$-0.938737\pi$
$421$		−	7.84933i		−	0.382553i	0.981536	−	0.191276i	$-0.0612627\pi$
$422$	−0.813092	+	1.21450i	−0.0395807	+	0.0591211i
$423$	−3.76090	−	14.0359i	−0.182861	−	0.682448i
$424$	0.0164991	+	0.262622i	0.000801269	+	0.0127540i
$425$	17.4131	+	11.9607i	0.844660	+	0.580177i
$426$	5.12754	+	1.74573i	0.248430	+	0.0845808i
$427$	−1.29214	−	3.38929i	−0.0625310	−	0.164019i
$428$	−0.639480	−	4.92603i	−0.0309104	−	0.238109i
$429$	−7.50091	−	12.9920i	−0.362147	−	0.627258i
$430$	14.2375	−	8.70978i	0.686594	−	0.420023i
$431$	−25.2094	−	14.5547i	−1.21430	−	0.701074i	−0.250603	−	0.968090i	$-0.580629\pi$
$431$	−25.2094	−	14.5547i	−1.21430	−	0.701074i	−0.963692	+	0.267016i	$0.913962\pi$
$432$	0.0288676	−	7.99604i	0.00138889	−	0.384710i
$433$	10.4043	+	10.4043i	0.500000	+	0.500000i	0.911438	−	0.411438i	$-0.134973\pi$
$433$	10.4043	+	10.4043i	0.500000	+	0.500000i	−0.411438	+	0.911438i	$0.634973\pi$
$434$	−7.27770	−	23.7048i	−0.349341	−	1.13787i
$435$	16.2124	−	11.4611i	0.777325	−	0.549519i
$436$	−4.60278	−	0.614422i	−0.220433	−	0.0294255i
$437$	17.0091	−	4.55757i	0.813654	−	0.218018i
$438$	0.231070	−	3.47736i	0.0110410	−	0.166155i
$439$	5.42804	+	9.40164i	0.259066	+	0.448716i	0.965992	−	0.258572i	$-0.0832519\pi$
$439$	5.42804	+	9.40164i	0.259066	+	0.448716i	−0.706926	+	0.707288i	$0.749919\pi$
$440$	−3.07172	+	7.94103i	−0.146438	+	0.378574i
$441$	−25.8270	+	5.36633i	−1.22986	+	0.255540i
$442$	22.9639	−	11.2988i	1.09228	−	0.537429i
$443$	−4.17521	+	15.5821i	−0.198370	+	0.740327i	0.792998	+	0.609224i	$0.208519\pi$
$443$	−4.17521	+	15.5821i	−0.198370	+	0.740327i	−0.991369	+	0.131104i	$0.958148\pi$
$444$	44.6016	−	18.3803i	2.11670	−	0.872292i
$445$	6.42528	−	7.72771i	0.304587	−	0.366329i
$446$	4.43505	+	22.4021i	0.210006	+	1.06077i
$447$	−8.58733	−	8.58733i	−0.406167	−	0.406167i
$448$	11.1979	−	17.9613i	0.529051	−	0.848590i
$449$		−	35.3355i		−	1.66759i	−0.552077	−	0.833793i	$-0.686165\pi$
$449$		−	35.3355i		−	1.66759i	0.552077	−	0.833793i	$-0.313835\pi$
$450$	15.9298	+	21.3606i	0.750939	+	1.00695i
$451$	6.44989	−	11.1715i	0.303714	−	0.526047i
$452$	−1.88115	+	4.51842i	−0.0884820	+	0.212529i
$453$	4.63803	+	1.24276i	0.217914	+	0.0583898i
$454$	−7.80587	−	2.65759i	−0.366348	−	0.124727i
$455$	−21.0393	−	14.1235i	−0.986338	−	0.662122i
$456$	−46.1717	+	30.6704i	−2.16219	+	1.43627i
$457$	−30.9202	−	8.28503i	−1.44638	−	0.387557i	−0.551620	−	0.834096i	$-0.685990\pi$
$457$	−30.9202	−	8.28503i	−1.44638	−	0.387557i	−0.894764	+	0.446538i	$0.852657\pi$
$458$	13.3999	+	0.890425i	0.626138	+	0.0416068i
$459$	−7.31441	−	4.22298i	−0.341407	−	0.197112i
$460$	4.85222	+	9.26000i	0.226236	+	0.431750i
$461$			32.7954i			1.52743i	0.645551	+	0.763717i	$0.276628\pi$
$461$			32.7954i			1.52743i	−0.645551	+	0.763717i	$0.723372\pi$
$462$	−11.1054	+	6.95754i	−0.516669	+	0.323694i
$463$	10.5490	−	10.5490i	0.490253	−	0.490253i	−0.418133	−	0.908386i	$-0.637315\pi$
$463$	10.5490	−	10.5490i	0.490253	−	0.490253i	0.908386	+	0.418133i	$0.137315\pi$
$464$	−9.68808	+	9.61838i	−0.449758	+	0.446522i
$465$	−38.3908	+	3.53294i	−1.78033	+	0.163836i
$466$	−0.442004	−	0.504927i	−0.0204754	−	0.0233903i
$467$	−37.6580	−	10.0904i	−1.74261	−	0.466930i	−0.759582	−	0.650412i	$-0.774596\pi$
$467$	−37.6580	−	10.0904i	−1.74261	−	0.466930i	−0.983023	+	0.183482i	$0.941263\pi$
$468$	32.0134	−	4.15587i	1.47982	−	0.192105i
$469$	−22.8337	+	2.34712i	−1.05436	+	0.108380i
$470$	−10.7117	−	5.82661i	−0.494095	−	0.268761i
$471$	7.23165	−	4.17520i	0.333217	−	0.192383i
$472$	1.62656	+	1.43427i	0.0748686	+	0.0660175i
$473$	6.86331	−	1.83902i	0.315575	−	0.0845582i
$474$	10.8997	−	2.15786i	0.500639	−	0.0991137i
$475$	12.5628	−	35.5073i	0.576421	−	1.62918i
$476$	−10.5873	−	19.6910i	−0.485266	−	0.902537i
$477$	0.247903	+	0.247903i	0.0113507	+	0.0113507i
$478$	12.2292	−	18.2666i	0.559352	−	0.835496i
$479$	6.67440	−	11.5604i	0.304961	−	0.528208i	−0.672291	−	0.740287i	$-0.734690\pi$
$479$	6.67440	−	11.5604i	0.304961	−	0.528208i	0.977253	+	0.212078i	$0.0680232\pi$
$480$	−23.7713	−	22.7566i	−1.08501	−	1.03869i
$481$	19.8557	+	34.3911i	0.905342	+	1.56810i
$482$	12.9052	+	26.2288i	0.587817	+	1.19469i
$483$	−2.55346	+	15.8866i	−0.116186	+	0.722866i
$484$	11.2124	−	14.5578i	0.509656	−	0.661720i
$485$	−14.4756	+	31.4113i	−0.657303	+	1.42631i
$486$	20.3797	+	23.2810i	0.924443	+	1.05605i
$487$	2.24272	−	0.600935i	0.101627	−	0.0272310i	−0.207647	−	0.978204i	$-0.566581\pi$
$487$	2.24272	−	0.600935i	0.101627	−	0.0272310i	0.309274	+	0.950973i	$0.399914\pi$
$488$	3.67526	−	1.23650i	0.166371	−	0.0559736i
$489$			33.1476i			1.49899i
$490$	−11.6666	+	18.8120i	−0.527044	+	0.849838i
$491$	−33.1377			−1.49548			−0.747742	−	0.663990i	$-0.768862\pi$
$491$	−33.1377			−1.49548			−0.747742	+	0.663990i	$0.768862\pi$
$492$	30.2798	+	39.6093i	1.36512	+	1.78572i
$493$	3.73214	+	13.9285i	0.168087	+	0.627309i
$494$	−30.0549	−	34.3335i	−1.35223	−	1.54474i
$495$	3.92780	+	10.6423i	0.176541	+	0.478334i
$496$	25.6302	−	6.76852i	1.15083	−	0.303915i
$497$	3.84572	+	0.618122i	0.172504	+	0.0277266i
$498$	−33.2878	+	16.3784i	−1.49166	+	0.733934i
$499$	−29.8457	+	17.2314i	−1.33608	+	0.771384i	−0.986223	−	0.165421i	$-0.947102\pi$
$499$	−29.8457	+	17.2314i	−1.33608	+	0.771384i	−0.349852	+	0.936805i	$0.613768\pi$
$500$	22.2020	+	2.65915i	0.992904	+	0.118921i
$501$	32.9242	+	19.0088i	1.47094	+	0.849250i
$502$	14.3994	−	21.5082i	0.642678	−	0.959958i
$503$	14.2936	−	14.2936i	0.637319	−	0.637319i	−0.312574	−	0.949893i	$-0.601191\pi$
$503$	14.2936	−	14.2936i	0.637319	−	0.637319i	0.949893	+	0.312574i	$0.101191\pi$
$504$	−4.63677	−	27.8162i	−0.206538	−	1.23903i
$505$	−27.2580	−	4.67994i	−1.21297	−	0.208254i
$506$	0.864329	+	4.36587i	0.0384241	+	0.194086i
$507$	3.60003	+	13.4355i	0.159883	+	0.596691i
$508$	3.09754	−	7.44011i	0.137431	−	0.330102i
$509$	11.9053	+	20.6206i	0.527692	+	0.913990i	0.999479	+	0.0322771i	$0.0102759\pi$
$509$	11.9053	+	20.6206i	0.527692	+	0.913990i	−0.471787	+	0.881713i	$0.656391\pi$
$510$	−33.3356	+	9.84671i	−1.47613	+	0.436020i
$511$	−0.256257	−	2.49296i	−0.0113361	−	0.110282i
$512$	18.7113	+	12.7235i	0.826929	+	0.562306i
$513$	−3.89738	+	14.5452i	−0.172073	+	0.642187i
$514$	15.0095	−	13.1390i	0.662039	−	0.579536i
$515$	−12.4661	+	1.14720i	−0.549324	+	0.0505518i
$516$	−3.63369	+	27.2208i	−0.159964	+	1.19833i
$517$	−3.67072	−	3.67072i	−0.161438	−	0.161438i
$518$	29.3971	−	18.4173i	1.29163	−	0.809211i
$519$	−9.52295			−0.418011
$520$	15.9793	−	21.8751i	0.700738	−	0.959288i
$521$	6.41794	−	11.1162i	0.281175	−	0.487010i	−0.690499	−	0.723333i	$-0.742609\pi$
$521$	6.41794	−	11.1162i	0.281175	−	0.487010i	0.971674	+	0.236323i	$0.0759425\pi$
$522$	−1.20597	+	18.1486i	−0.0527841	+	0.794343i
$523$	6.84585	−	25.5491i	0.299348	−	1.11718i	−0.638354	−	0.769743i	$-0.720385\pi$
$523$	6.84585	−	25.5491i	0.299348	−	1.11718i	0.937702	−	0.347439i	$-0.112949\pi$
$524$	−17.4819	+	22.6979i	−0.763700	+	0.991562i
$525$	24.9168	+	23.7407i	1.08746	+	1.03613i
$526$	−18.8851	−	6.42964i	−0.823429	−	0.280346i
$527$	7.24700	−	27.0462i	0.315684	−	1.17815i
$528$	−6.96098	−	12.1579i	−0.302938	−	0.529106i
$529$	−15.1861	−	8.76771i	−0.660266	−	0.381205i
$530$	0.294104	−	0.00747616i	0.0127751	−	0.000324744i
$531$	2.88928			0.125384
$532$	−29.0255	+	27.3193i	−1.25841	+	1.18444i
$533$	−29.0214	+	29.0214i	−1.25706	+	1.25706i
$534$	3.21142	+	16.2214i	0.138972	+	0.701969i
$535$	−5.53031	+	0.508930i	−0.239096	+	0.0220030i
$536$	−1.53861	−	24.4906i	−0.0664579	−	1.05783i
$537$	−0.0998857	−	0.0267643i	−0.00431039	−	0.00115496i
$538$	13.0849	+	26.5941i	0.564131	+	1.14655i
$539$	−7.03198	+	6.27361i	−0.302889	+	0.270223i
$540$	−8.93241	−	0.365877i	−0.384390	−	0.0157449i
$541$	−16.8313	+	9.71758i	−0.723636	+	0.417791i	−0.816089	−	0.577926i	$-0.803862\pi$
$541$	−16.8313	+	9.71758i	−0.723636	+	0.417791i	0.0924536	+	0.995717i	$0.470529\pi$
$542$	2.13037	−	32.0598i	0.0915072	−	1.37709i
$543$	15.1245	+	56.4455i	0.649056	+	2.42231i
$544$	21.4831	−	10.4741i	0.921082	−	0.449071i
$545$	−0.878511	+	5.11684i	−0.0376313	+	0.219181i
$546$	39.8587	−	12.2372i	1.70579	−	0.523703i
$547$	−5.98689	+	5.98689i	−0.255981	+	0.255981i	−0.823417	−	0.567436i	$-0.807935\pi$
$547$	−5.98689	+	5.98689i	−0.255981	+	0.255981i	0.567436	+	0.823417i	$0.307935\pi$
$548$	−4.70674	+	3.59812i	−0.201062	+	0.153704i
$549$	2.58317	−	4.47418i	0.110247	−	0.190953i
$550$	8.74399	+	3.76322i	0.372845	+	0.160464i
$551$	22.2648	−	12.8546i	0.948514	−	0.547625i
$552$	−16.8618	−	3.40151i	−0.717686	−	0.144778i
$553$	7.46596	−	2.84634i	0.317485	−	0.121039i
$554$	−3.65934	+	10.7482i	−0.155470	+	0.456647i
$555$	−18.6746	−	50.5982i	−0.792691	−	2.14778i
$556$	41.9133	−	17.2725i	1.77752	−	0.732517i
$557$	−38.2627	+	10.2524i	−1.62124	+	0.434410i	−0.951366	−	0.308064i	$-0.900319\pi$
$557$	−38.2627	+	10.2524i	−1.62124	+	0.434410i	−0.669875	+	0.742474i	$0.733652\pi$
$558$	19.6484	−	29.3485i	0.831781	−	1.24242i
$559$	−22.6069			−0.956170
$560$	−19.6001	−	13.2603i	−0.828256	−	0.560351i
$561$	−14.7978			−0.624765
$562$	12.8794	−	19.2378i	0.543284	−	0.811496i
$563$	−36.4705	+	9.77225i	−1.53705	+	0.411851i	−0.925311	−	0.379209i	$-0.876196\pi$
$563$	−36.4705	+	9.77225i	−1.53705	+	0.411851i	−0.611739	+	0.791060i	$0.709530\pi$
$564$	18.5504	−	7.64462i	0.781112	−	0.321897i
$565$	4.96974	+	2.29025i	0.209079	+	0.0963517i
$566$	−9.03171	+	26.5279i	−0.379631	+	1.11505i
$567$	12.5283	+	10.1928i	0.526139	+	0.428056i
$568$	−0.823413	+	4.08179i	−0.0345497	+	0.171268i
$569$	−5.44853	+	3.14571i	−0.228414	+	0.131875i	−0.609840	−	0.792524i	$-0.708766\pi$
$569$	−5.44853	+	3.14571i	−0.228414	+	0.131875i	0.381426	+	0.924399i	$0.375433\pi$
$570$	32.3402	+	52.8652i	1.35458	+	2.21428i
$571$	−17.2833	+	29.9355i	−0.723283	+	1.25276i	0.236394	+	0.971657i	$0.424034\pi$
$571$	−17.2833	+	29.9355i	−0.723283	+	1.25276i	−0.959677	+	0.281105i	$0.909299\pi$
$572$	9.16218	−	7.00414i	0.383090	−	0.292858i
$573$	−43.3095	+	43.3095i	−1.80928	+	1.80928i
$574$	26.2496	+	24.4207i	1.09564	+	1.01930i
$575$	10.5482	−	5.03481i	0.439892	−	0.209966i
$576$	29.9100	−	3.77306i	1.24625	−	0.157211i
$577$	3.52591	+	13.1589i	0.146785	+	0.547811i	0.999669	+	0.0257102i	$0.00818471\pi$
$577$	3.52591	+	13.1589i	0.146785	+	0.547811i	−0.852884	+	0.522100i	$0.825149\pi$
$578$	0.0797927	−	1.20079i	0.00331894	−	0.0499465i
$579$	10.3427	−	5.97134i	0.429826	−	0.248160i
$580$	10.3420	+	11.2254i	0.429427	+	0.466108i
$581$	−21.6188	+	15.6315i	−0.896897	+	0.648505i
$582$	−25.1239	−	51.0623i	−1.04142	−	2.11660i
$583$	0.120979	+	0.0324163i	0.00501044	+	0.00134254i
$584$	2.67386	−	0.167984i	0.110645	−	0.00695124i
$585$	−3.30745	−	35.9405i	−0.136746	−	1.48596i
$586$	−1.43856	−	7.26638i	−0.0594262	−	0.300171i
$587$	15.9880	−	15.9880i	0.659893	−	0.659893i	−0.295461	−	0.955355i	$-0.595473\pi$
$587$	15.9880	−	15.9880i	0.659893	−	0.659893i	0.955355	+	0.295461i	$0.0954733\pi$
$588$	−11.9388	−	34.4103i	−0.492348	−	1.41906i
$589$	−49.9218			−2.05699
$590$	1.67031	−	1.75744i	0.0687655	−	0.0723528i
$591$	−50.5190	−	29.1672i	−2.07808	−	1.19978i
$592$	18.4264	+	32.1833i	0.757322	+	1.32273i
$593$	−7.54158	+	28.1455i	−0.309695	+	1.15580i	0.619132	+	0.785287i	$0.287484\pi$
$593$	−7.54158	+	28.1455i	−0.309695	+	1.15580i	−0.928828	+	0.370512i	$0.879182\pi$
$594$	−3.60282	−	1.22662i	−0.147826	−	0.0503289i
$595$	−22.4417	+	11.0071i	−0.920018	+	0.451246i
$596$	5.69676	−	7.39647i	0.233348	−	0.302971i
$597$	2.29434	−	8.56260i	0.0939012	−	0.350444i
$598$	0.938875	−	14.1291i	0.0383934	−	0.577780i
$599$	19.2801	−	33.3941i	0.787763	−	1.36445i	−0.139572	−	0.990212i	$-0.544573\pi$
$599$	19.2801	−	33.3941i	0.787763	−	1.36445i	0.927335	−	0.374233i	$-0.122094\pi$
$600$	−26.4168	+	25.6091i	−1.07846	+	1.04549i
$601$	−14.9274			−0.608900			−0.304450	−	0.952528i	$-0.598473\pi$
$601$	−14.9274			−0.608900			−0.304450	+	0.952528i	$0.598473\pi$
$602$	0.712362	+	19.7354i	0.0290337	+	0.804355i
$603$	−23.1179	−	23.1179i	−0.941435	−	0.941435i
$604$	−0.488414	+	3.65883i	−0.0198733	+	0.148876i
$605$	−15.7970	−	13.1346i	−0.642239	−	0.533995i
$606$	34.2408	−	29.9738i	1.39094	−	1.21760i
$607$	2.44316	−	9.11801i	0.0991650	−	0.370089i	−0.898453	−	0.439070i	$-0.855308\pi$
$607$	2.44316	−	9.11801i	0.0991650	−	0.370089i	0.997618	+	0.0689810i	$0.0219748\pi$
$608$	−27.9513	−	32.1640i	−1.13357	−	1.30442i
$609$	2.40215	+	23.3690i	0.0973399	+	0.946959i
$610$	−1.22814	−	4.15780i	−0.0497258	−	0.168344i
$611$	8.25824	+	14.3037i	0.334093	+	0.578666i
$612$	12.2389	−	29.3971i	0.494729	−	1.18831i
$613$	6.66205	+	24.8631i	0.269078	+	1.00421i	0.959707	+	0.281003i	$0.0906671\pi$
$613$	6.66205	+	24.8631i	0.269078	+	1.00421i	−0.690629	+	0.723209i	$0.742666\pi$
$614$	5.99405	+	30.2769i	0.241900	+	1.22188i
$615$	45.5170	−	32.1776i	1.83542	−	1.29753i
$616$	−6.40320	−	7.77770i	−0.257992	−	0.313373i
$617$	24.6497	−	24.6497i	0.992359	−	0.992359i	−0.00761213	−	0.999971i	$-0.502423\pi$
$617$	24.6497	−	24.6497i	0.992359	−	0.992359i	0.999971	+	0.00761213i	$0.00242304\pi$
$618$	11.4594	−	17.1167i	0.460963	−	0.688534i
$619$	0.587745	+	0.339335i	0.0236235	+	0.0136390i	0.511765	−	0.859125i	$-0.328992\pi$
$619$	0.587745	+	0.339335i	0.0236235	+	0.0136390i	−0.488142	+	0.872764i	$0.662325\pi$
$620$	−6.49277	−	28.9179i	−0.260756	−	1.16137i
$621$	−4.04694	+	2.33650i	−0.162398	+	0.0937606i
$622$	−19.4749	+	9.58213i	−0.780873	+	0.384208i
$623$	4.23605	+	11.1112i	0.169714	+	0.445160i
$624$	11.3810	+	43.0963i	0.455605	+	1.72523i
$625$	3.89730	−	24.6944i	0.155892	−	0.987774i
$626$	−5.55145	−	6.34175i	−0.221881	−	0.253467i
$627$	6.82845	+	25.4841i	0.272702	+	1.01774i
$628$	3.89869	+	5.09990i	0.155574	+	0.203508i
$629$	39.1714			1.56187
$630$	−31.2712	+	4.01986i	−1.24587	+	0.160155i
$631$		−	22.1330i		−	0.881099i	−0.897728	−	0.440550i	$-0.854784\pi$
$631$		−	22.1330i		−	0.881099i	0.897728	−	0.440550i	$-0.145216\pi$
$632$	2.72376	+	8.09590i	0.108346	+	0.322038i
$633$	−2.59708	+	0.695886i	−0.103225	+	0.0276590i
$634$	−3.30384	−	3.77418i	−0.131212	−	0.149892i
$635$	−8.18326	−	3.77117i	−0.324743	−	0.149654i
$636$	−0.295380	+	0.383511i	−0.0117126	+	0.0152072i
$637$	26.7770	−	13.4896i	1.06094	−	0.534478i
$638$	2.86867	+	5.83035i	0.113572	+	0.230826i
$639$	2.77390	+	4.80454i	0.109734	+	0.190065i
$640$	14.9961	−	20.3744i	0.592774	−	0.805369i
$641$	9.20163	−	15.9377i	0.363443	−	0.629501i	−0.625082	−	0.780559i	$-0.714935\pi$
$641$	9.20163	−	15.9377i	0.363443	−	0.629501i	0.988525	+	0.151058i	$0.0482680\pi$
$642$	5.08368	−	7.59342i	0.200637	−	0.299688i
$643$	10.4574	+	10.4574i	0.412399	+	0.412399i	0.882574	−	0.470174i	$-0.155809\pi$
$643$	10.4574	+	10.4574i	0.412399	+	0.412399i	−0.470174	+	0.882574i	$0.655809\pi$
$644$	−12.3640	−	0.374402i	−0.487209	−	0.0147535i
$645$	30.2610	+	5.19552i	1.19153	+	0.204573i
$646$	−44.1526	+	8.74107i	−1.73716	+	0.343913i
$647$	−19.0942	+	5.11628i	−0.750671	+	0.201142i	−0.613816	−	0.789449i	$-0.710366\pi$
$647$	−19.0942	+	5.11628i	−0.750671	+	0.201142i	−0.136855	+	0.990591i	$0.543700\pi$
$648$	−11.4194	+	12.9504i	−0.448596	+	0.508740i
$649$	0.893903	−	0.516095i	0.0350888	−	0.0202585i
$650$	−23.7734	−	18.7657i	−0.932469	−	0.736049i
$651$	18.6492	−	41.6303i	0.730920	−	1.63162i
$652$	−25.2703	+	3.28050i	−0.989662	+	0.128474i
$653$	28.1197	+	7.53465i	1.10041	+	0.294854i	0.762931	−	0.646480i	$-0.223760\pi$
$653$	28.1197	+	7.53465i	1.10041	+	0.294854i	0.337478	+	0.941333i	$0.390426\pi$
$654$	−5.62663	−	6.42764i	−0.220019	−	0.251340i
$655$	24.6299	+	20.4788i	0.962370	+	0.800172i
$656$	−27.1997	+	27.0040i	−1.06197	+	1.05433i
$657$	2.52400	−	2.52400i	0.0984705	−	0.0984705i
$658$	12.2266	−	7.66001i	0.476644	−	0.298618i
$659$			31.0817i			1.21077i	0.795932	+	0.605386i	$0.206981\pi$
$659$			31.0817i			1.21077i	−0.795932	+	0.605386i	$0.793019\pi$
$660$	−13.8739	+	7.26992i	−0.540043	+	0.282981i
$661$	−40.0158	−	23.1031i	−1.55643	−	0.898608i	−0.997594	−	0.0693333i	$-0.977913\pi$
$661$	−40.0158	−	23.1031i	−1.55643	−	0.898608i	−0.558841	−	0.829275i	$-0.688754\pi$
$662$	−5.04250	−	0.335074i	−0.195982	−	0.0130230i
$663$	45.4772	+	12.1856i	1.76619	+	0.473248i
$664$	−15.7806	−	23.7563i	−0.612405	−	0.921924i
$665$	29.3115	+	33.5687i	1.13665	+	1.30174i
$666$	46.7728	+	15.9243i	1.81241	+	0.617054i
$667$	7.70642	+	2.06493i	0.298394	+	0.0799544i
$668$	−11.2331	+	26.9813i	−0.434622	+	1.04394i
$669$	−21.0056	+	36.3828i	−0.812124	+	1.40664i
$670$	−27.4264	+	0.697183i	−1.05958	+	0.0269345i
$671$		−	1.84567i		−	0.0712512i
$672$	37.2636	−	11.2934i	1.43747	−	0.435653i
$673$	−13.8111	−	13.8111i	−0.532380	−	0.532380i	0.388900	−	0.921280i	$-0.372855\pi$
$673$	−13.8111	−	13.8111i	−0.532380	−	0.532380i	−0.921280	+	0.388900i	$0.872855\pi$
$674$	−5.24271	−	26.4818i	−0.201942	−	1.02004i
$675$	−0.781472	+	9.96452i	−0.0300789	+	0.383535i
$676$	−9.88637	+	4.07418i	−0.380245	+	0.156699i
$677$	1.51526	−	5.65504i	0.0582363	−	0.217341i	−0.930675	−	0.365846i	$-0.880780\pi$
$677$	1.51526	−	5.65504i	0.0582363	−	0.217341i	0.988912	+	0.148505i	$0.0474462\pi$
$678$	−8.07882	+	3.97497i	−0.310265	+	0.152658i
$679$	−23.9782	−	33.1624i	−0.920199	−	1.27266i
$680$	−10.8058	−	24.4392i	−0.414385	−	0.937199i
$681$	−7.58462	−	13.1369i	−0.290643	−	0.503409i
$682$	0.836584	−	12.5897i	0.0320345	−	0.482084i
$683$	6.61451	−	1.77235i	0.253097	−	0.0678172i	−0.130040	−	0.991509i	$-0.541510\pi$
$683$	6.61451	−	1.77235i	0.253097	−	0.0678172i	0.383137	+	0.923692i	$0.374844\pi$
$684$	−56.2740	−	7.51198i	−2.15169	−	0.287228i
$685$	3.82364	+	5.40875i	0.146094	+	0.206658i
$686$	−12.6199	−	22.9507i	−0.481832	−	0.876264i
$687$	17.4692	+	17.4692i	0.666490	+	0.666490i
$688$	−21.1116	−	0.0762179i	−0.804874	−	0.00290578i
$689$	−0.345103	−	0.199245i	−0.0131474	−	0.00759064i
$690$	−4.50389	+	18.6970i	−0.171460	+	0.711783i
$691$	0.880585	+	1.52522i	0.0334990	+	0.0580220i	0.882289	−	0.470708i	$-0.156002\pi$
$691$	0.880585	+	1.52522i	0.0334990	+	0.0580220i	−0.848790	+	0.528730i	$0.822668\pi$
$692$	−0.942454	−	7.25989i	−0.0358267	−	0.275980i
$693$	−13.2523	−	2.13004i	−0.503412	−	0.0809135i
$694$	−25.4054	−	8.64954i	−0.964375	−	0.328332i
$695$	−17.5490	−	47.5486i	−0.665672	−	1.80362i
$696$	−25.0647	+	1.57468i	−0.950075	+	0.0596881i
$697$	10.4781	+	39.1050i	0.396888	+	1.48121i
$698$	−27.0744	+	40.4406i	−1.02478	+	1.53070i
$699$		−	1.23449i		−	0.0466927i
$700$	−15.6329	+	21.3450i	−0.590870	+	0.806767i
$701$		−	33.6955i		−	1.27266i	−0.771416	−	0.636331i	$-0.780451\pi$
$701$		−	33.6955i		−	1.27266i	0.771416	−	0.636331i	$-0.219549\pi$
$702$	10.0622	+	6.73650i	0.379774	+	0.254253i
$703$	−18.0756	−	67.4591i	−0.681735	−	2.54427i
$704$	8.57979	−	6.50999i	0.323363	−	0.245354i
$705$	−7.76700	−	21.0445i	−0.292522	−	0.792581i
$706$	2.68887	−	7.89774i	0.101197	−	0.297235i
$707$	20.6520	−	25.3842i	0.776700	−	0.954671i
$708$	0.513580	+	3.95620i	0.0193015	+	0.148683i
$709$	−17.6080	−	30.4979i	−0.661281	−	1.14537i	−0.980279	−	0.197617i	$-0.936680\pi$
$709$	−17.6080	−	30.4979i	−0.661281	−	1.14537i	0.318998	−	0.947755i	$-0.396654\pi$
$710$	4.52604	+	1.09027i	0.169859	+	0.0409171i
$711$	9.85576	+	5.69023i	0.369620	+	0.213400i
$712$	−12.0487	+	4.05363i	−0.451544	+	0.151916i
$713$	−10.9546	−	10.9546i	−0.410252	−	0.410252i
$714$	9.20475	−	40.0847i	0.344479	−	1.50013i
$715$	−7.44314	−	10.5287i	−0.278358	−	0.393752i
$716$	0.0105186	−	0.0787974i	0.000393099	−	0.00294480i
$717$	39.0612	−	10.4664i	1.45877	−	0.390875i
$718$	−19.9417	−	1.32512i	−0.744216	−	0.0494531i
$719$	1.99792	+	3.46050i	0.0745098	+	0.129055i	0.900873	−	0.434083i	$-0.142927\pi$
$719$	1.99792	+	3.46050i	0.0745098	+	0.129055i	−0.826363	+	0.563138i	$0.809594\pi$
$720$	−2.96751	−	33.5745i	−0.110593	−	1.25125i
$721$	6.05571	−	13.5180i	0.225526	−	0.503438i
$722$	23.5650	+	47.8941i	0.877000	+	1.78243i
$723$	−13.9181	+	51.9429i	−0.517618	+	1.93178i
$724$	−41.5349	+	17.1165i	−1.54363	+	0.636131i
$725$	12.9731	−	11.0862i	0.481809	−	0.411733i
$726$	33.1598	−	6.56479i	1.23068	−	0.243642i
$727$	21.1551	+	21.1551i	0.784598	+	0.784598i	0.980603	−	0.196005i	$-0.0627969\pi$
$727$	21.1551	+	21.1551i	0.784598	+	0.784598i	−0.196005	+	0.980603i	$0.562797\pi$
$728$	13.2738	+	29.1755i	0.491959	+	1.08132i
$729$			38.6059i			1.42985i
$730$	−0.0761178	−	2.99439i	−0.00281725	−	0.110827i
$731$	−11.1498	+	19.3120i	−0.412389	+	0.714278i
$732$	6.58552	+	2.74175i	0.243408	+	0.101338i
$733$	20.4556	+	5.48107i	0.755546	+	0.202448i	0.615977	−	0.787764i	$-0.288762\pi$
$733$	20.4556	+	5.48107i	0.755546	+	0.202448i	0.139569	+	0.990212i	$0.455428\pi$
$734$	−8.06588	+	23.6911i	−0.297717	+	0.874453i
$735$	−38.9432	+	11.9030i	−1.43644	+	0.439048i
$736$	0.924411	−	13.1914i	0.0340742	−	0.486240i
$737$	−11.2818	−	3.02295i	−0.415571	−	0.111352i
$738$	−3.38583	+	50.9530i	−0.124634	+	1.87561i
$739$	0.950273	+	0.548641i	0.0349564	+	0.0201821i	0.517376	−	0.855758i	$-0.326909\pi$
$739$	0.950273	+	0.548641i	0.0349564	+	0.0201821i	−0.482420	+	0.875940i	$0.660242\pi$
$740$	36.7258	−	19.2442i	1.35007	−	0.707432i
$741$		−	83.9416i		−	3.08367i
$742$	−0.163063	+	0.307547i	−0.00598622	+	0.0112904i
$743$	−5.20049	+	5.20049i	−0.190787	+	0.190787i	−0.796036	−	0.605249i	$-0.793074\pi$
$743$	−5.20049	+	5.20049i	−0.190787	+	0.190787i	0.605249	+	0.796036i	$0.293074\pi$
$744$	43.6785	+	21.6871i	1.60133	+	0.795087i
$745$	−8.02606	−	6.67334i	−0.294052	−	0.244492i
$746$	−22.2169	+	19.4482i	−0.813417	+	0.712050i
$747$	−36.7031	−	9.83456i	−1.34290	−	0.359828i
$748$	−1.46449	−	11.2812i	−0.0535471	−	0.412483i
$749$	2.68647	−	5.99696i	0.0981616	−	0.219124i
$750$	27.5097	+	30.5828i	1.00451	+	1.11673i
$751$	−23.6913	+	13.6782i	−0.864510	+	0.499125i	−0.865520	−	0.500875i	$-0.833012\pi$
$751$	−23.6913	+	13.6782i	−0.864510	+	0.499125i	0.00101023	+	0.999999i	$0.499678\pi$
$752$	7.66380	+	13.3855i	0.279470	+	0.488118i
$753$	45.9929	−	12.3238i	1.67608	−	0.449103i
$754$	−4.01497	−	20.2803i	−0.146217	−	0.738564i
$755$	4.06747	+	0.698344i	0.148030	+	0.0254153i
$756$	5.56377	−	8.99640i	0.202352	−	0.327196i
$757$	24.8295	+	24.8295i	0.902444	+	0.902444i	0.995647	−	0.0932031i	$-0.0297106\pi$
$757$	24.8295	+	24.8295i	0.902444	+	0.902444i	−0.0932031	+	0.995647i	$0.529711\pi$
$758$	9.42225	+	6.30805i	0.342232	+	0.229119i
$759$	−4.09370	+	7.09050i	−0.148592	+	0.257369i
$760$	−37.1016	+	29.8867i	−1.34582	+	1.08410i
$761$	3.21147	+	5.56244i	0.116416	+	0.201638i	0.918345	−	0.395781i	$-0.129526\pi$
$761$	3.21147	+	5.56244i	0.116416	+	0.201638i	−0.801929	+	0.597419i	$0.796193\pi$
$762$	13.3027	−	6.54526i	0.481907	−	0.237110i
$763$	−4.76508	−	3.87677i	−0.172508	−	0.140348i
$764$	−37.3035	−	28.7311i	−1.34959	−	1.03945i
$765$	−32.3335	−	14.9005i	−1.16902	−	0.538730i
$766$	33.7267	−	29.5237i	1.21859	−	1.06673i
$767$	−3.17216	+	0.849977i	−0.114540	+	0.0306909i
$768$	10.4829	+	40.2842i	0.378271	+	1.45363i
$769$		−	34.2490i		−	1.23505i	−0.786551	−	0.617525i	$-0.788135\pi$
$769$		−	34.2490i		−	1.23505i	0.786551	−	0.617525i	$-0.211865\pi$
$770$	−8.95684	+	6.82949i	−0.322782	+	0.246118i
$771$	36.6964			1.32159
$772$	5.57587	+	7.29385i	0.200680	+	0.262511i
$773$	3.70596	+	13.8308i	0.133294	+	0.497461i	0.999999	−	0.00136055i	$-0.000433078\pi$
$773$	3.70596	+	13.8308i	0.133294	+	0.497461i	−0.866705	+	0.498821i	$0.833766\pi$
$774$	−21.1643	+	18.5268i	−0.760734	+	0.665932i
$775$	−32.5796	+	6.04752i	−1.17029	+	0.217233i
$776$	36.4413	−	24.2068i	1.30817	−	0.868975i
$777$	63.0074	+	10.1272i	2.26038	+	0.363311i
$778$	−13.0790	−	26.5821i	−0.468906	−	0.953015i
$779$	62.5095	−	36.0899i	2.23964	−	1.29305i
$780$	48.6244	−	10.9174i	1.74103	−	0.390904i
$781$	1.71642	+	0.990973i	0.0614182	+	0.0354598i
$782$	−11.6067	−	7.77051i	−0.415054	−	0.277873i
$783$	−4.82429	+	4.82429i	−0.172406	+	0.172406i
$784$	25.0514	−	12.5071i	0.894693	−	0.446683i
$785$	5.86056	−	4.14304i	0.209172	−	0.147871i
$786$	−51.7012	+	10.2355i	−1.84412	+	0.365088i
$787$	3.12306	+	11.6554i	0.111325	+	0.415471i	0.998986	−	0.0450274i	$-0.0143375\pi$
$787$	3.12306	+	11.6554i	0.111325	+	0.415471i	−0.887661	+	0.460498i	$0.847671\pi$
$788$	17.2361	−	41.4001i	0.614011	−	1.47482i
$789$	−18.3498	−	31.7828i	−0.653271	−	1.13150i
$790$	9.15884	−	2.70535i	0.325857	−	0.0962520i
$791$	−5.24679	+	3.79371i	−0.186554	+	0.134889i
$792$	2.83747	−	14.0658i	0.100825	−	0.499805i
$793$	−1.51985	+	5.67216i	−0.0539715	+	0.201424i
$794$	3.62081	+	4.13627i	0.128498	+	0.146791i
$795$	0.416155	+	0.346016i	0.0147595	+	0.0122719i
$796$	6.75483	+	0.901697i	0.239418	+	0.0319598i
$797$	0.417606	+	0.417606i	0.0147924	+	0.0147924i	0.714464	−	0.699672i	$-0.246670\pi$
$797$	0.417606	+	0.417606i	0.0147924	+	0.0147924i	−0.699672	+	0.714464i	$0.746670\pi$
$798$	−73.2794	+	2.64507i	−2.59406	+	0.0936344i
$799$	16.2919			0.576367
$800$	−22.1377	−	17.6046i	−0.782686	−	0.622417i
$801$	−8.46845	+	14.6678i	−0.299218	+	0.518261i
$802$	−30.4286	−	2.02198i	−1.07447	−	0.0713986i
$803$	0.330043	−	1.23174i	0.0116470	−	0.0434671i
$804$	27.5454	−	35.7640i	0.971451	−	1.26130i
$805$	−0.934175	+	13.7981i	−0.0329253	+	0.486319i
$806$	−12.9382	+	38.0021i	−0.455730	+	1.33857i
$807$	−14.1119	+	52.6663i	−0.496762	+	1.85394i
$808$	26.2394	+	23.1373i	0.923100	+	0.813969i
$809$	14.7536	+	8.51800i	0.518709	+	0.299477i	0.736406	−	0.676540i	$-0.236521\pi$
$809$	14.7536	+	8.51800i	0.518709	+	0.299477i	−0.217697	+	0.976016i	$0.569855\pi$
$810$	13.9924	+	13.2987i	0.491644	+	0.467269i
$811$	4.67738			0.164245			0.0821226	−	0.996622i	$-0.473830\pi$
$811$	4.67738			0.164245			0.0821226	+	0.996622i	$0.473830\pi$
$812$	−17.5778	+	4.14404i	−0.616859	+	0.145427i
$813$	41.7955	−	41.7955i	1.46583	−	1.46583i
$814$	17.3153	−	3.42799i	0.606902	−	0.120151i
$815$	2.61079	+	28.3703i	0.0914519	+	0.993767i
$816$	42.4281	+	11.5329i	1.48528	+	0.403733i
$817$	38.4032	+	10.2901i	1.34356	+	0.360005i
$818$	−44.2482	+	21.7712i	−1.54710	+	0.761212i
$819$	38.9732	+	17.4589i	1.36184	+	0.610064i
$820$	29.0355	+	31.5157i	1.01396	+	1.10058i
$821$	42.5947	−	24.5921i	1.48657	−	0.858269i	0.486682	−	0.873579i	$-0.338207\pi$
$821$	42.5947	−	24.5921i	1.48657	−	0.858269i	0.999883	+	0.0153104i	$0.00487363\pi$
$822$	−10.8749	−	0.722633i	−0.379304	−	0.0252047i
$823$	6.20131	+	23.1436i	0.216164	+	0.806736i	0.985753	+	0.168197i	$0.0537943\pi$
$823$	6.20131	+	23.1436i	0.216164	+	0.806736i	−0.769589	+	0.638539i	$0.779539\pi$
$824$	14.1831	+	7.04215i	0.494093	+	0.245325i
$825$	7.54348	+	15.8041i	0.262630	+	0.550227i
$826$	0.841971	+	2.74245i	0.0292959	+	0.0954221i
$827$	−12.4249	+	12.4249i	−0.432056	+	0.432056i	−0.889327	−	0.457271i	$-0.848827\pi$
$827$	−12.4249	+	12.4249i	−0.432056	+	0.432056i	0.457271	+	0.889327i	$0.348827\pi$
$828$	−10.7001	−	13.9968i	−0.371853	−	0.486424i
$829$	−18.4502	+	31.9567i	−0.640802	+	1.10990i	0.344452	+	0.938804i	$0.388065\pi$
$829$	−18.4502	+	31.9567i	−0.640802	+	1.10990i	−0.985254	+	0.171098i	$0.945269\pi$
$830$	−27.2003	+	16.6397i	−0.944136	+	0.577574i
$831$	−18.0887	+	10.4435i	−0.627492	+	0.362282i
$832$	−31.7284	+	12.9415i	−1.09998	+	0.448665i
$833$	1.68295	−	29.5274i	0.0583107	−	1.02306i
$834$	78.9451	+	26.8777i	2.73364	+	0.930700i
$835$	29.6763	+	13.6760i	1.02699	+	0.473278i
$836$	−18.7522	+	7.72780i	−0.648559	+	0.267272i
$837$	12.7966	−	3.42883i	0.442314	−	0.118518i
$838$	2.11592	+	1.41658i	0.0730934	+	0.0489349i
$839$	−13.2988			−0.459127			−0.229563	−	0.973294i	$-0.573730\pi$
$839$	−13.2988			−0.459127			−0.229563	+	0.973294i	$0.573730\pi$
$840$	−11.0628	−	42.1042i	−0.381704	−	1.45273i
$841$	−17.3517			−0.598336
$842$	9.22427	+	6.17551i	0.317889	+	0.212822i
$843$	41.1378	−	11.0229i	1.41686	−	0.379647i
$844$	−0.787538	−	1.91104i	−0.0271082	−	0.0657806i
$845$	4.13940	+	11.2156i	0.142400	+	0.385828i
$846$	19.4534	+	6.62313i	0.668822	+	0.227708i
$847$	22.7135	−	8.65933i	0.780444	−	0.297538i
$848$	−0.321605	−	0.187230i	−0.0110440	−	0.00642951i
$849$	−44.6453	+	25.7760i	−1.53222	+	0.884630i
$850$	−27.7556	+	11.0532i	−0.952011	+	0.379121i
$851$	10.8365	−	18.7693i	0.371469	−	0.643403i
$852$	−6.08564	+	4.65225i	−0.208491	+	0.159383i
$853$	−8.18730	+	8.18730i	−0.280328	+	0.280328i	−0.833240	−	0.552912i	$-0.813517\pi$
$853$	−8.18730	+	8.18730i	−0.280328	+	0.280328i	0.552912	+	0.833240i	$0.313517\pi$
$854$	4.99958	+	1.14807i	0.171082	+	0.0392860i
$855$	−10.7408	+	62.5590i	−0.367326	+	2.13947i
$856$	6.29201	+	3.12409i	0.215057	+	0.106779i
$857$	2.80662	+	10.4744i	0.0958722	+	0.357800i	0.997150	−	0.0754412i	$-0.0240365\pi$
$857$	2.80662	+	10.4744i	0.0958722	+	0.357800i	−0.901278	+	0.433241i	$0.857370\pi$
$858$	21.1691	+	1.40668i	0.722701	+	0.0480234i
$859$	17.8737	−	10.3194i	0.609843	−	0.352093i	−0.163061	−	0.986616i	$-0.552137\pi$
$859$	17.8737	−	10.3194i	0.609843	−	0.352093i	0.772904	+	0.634523i	$0.218803\pi$
$860$	−0.966012	+	23.5839i	−0.0329407	+	0.804204i
$861$	6.74413	+	65.6094i	0.229839	+	2.23596i
$862$	36.9378	−	18.1743i	1.25811	−	0.619019i
$863$	−13.6046	−	3.64533i	−0.463105	−	0.124089i	0.0197198	−	0.999806i	$-0.493723\pi$
$863$	−13.6046	−	3.64533i	−0.463105	−	0.124089i	−0.482825	+	0.875717i	$0.660389\pi$
$864$	9.37396	+	6.32486i	0.318909	+	0.215176i
$865$	−8.15048	+	0.750052i	−0.277124	+	0.0255025i
$866$	−20.4125	+	4.04114i	−0.693644	+	0.137324i
$867$	1.56544	−	1.56544i	0.0531653	−	0.0531653i
$868$	33.5828	+	10.0974i	1.13987	+	0.342727i
$869$	4.06565			0.137918
$870$	0.713527	+	28.0694i	0.0241908	+	0.951641i
$871$	32.1823	+	18.5804i	1.09045	+	0.629574i
$872$	4.34331	−	4.92563i	0.147083	−	0.166803i
$873$	15.0859	−	56.3012i	0.510579	−	1.90551i
$874$	−8.02609	+	23.5742i	−0.271487	+	0.797408i
$875$	23.1956	+	18.3566i	0.784154	+	0.620566i
$876$	3.90468	+	3.00738i	0.131927	+	0.101610i
$877$	3.34102	−	12.4689i	0.112818	−	0.421044i	−0.886296	−	0.463119i	$-0.846730\pi$
$877$	3.34102	−	12.4689i	0.112818	−	0.421044i	0.999114	+	0.0420751i	$0.0133969\pi$
$878$	−15.3190	−	1.01795i	−0.516992	−	0.0343541i
$879$	6.81339	−	11.8011i	0.229810	−	0.398043i
$880$	−6.91534	−	9.85743i	−0.233116	−	0.332294i
$881$	−38.2543			−1.28882			−0.644410	−	0.764680i	$-0.722897\pi$
$881$	−38.2543			−1.28882			−0.644410	+	0.764680i	$0.722897\pi$
$882$	14.0132	−	34.5731i	0.471850	−	1.16414i
$883$	6.59194	+	6.59194i	0.221837	+	0.221837i	0.809271	−	0.587435i	$-0.199862\pi$
$883$	6.59194	+	6.59194i	0.221837	+	0.221837i	−0.587435	+	0.809271i	$0.699862\pi$
$884$	−4.78904	+	35.8758i	−0.161073	+	1.20663i
$885$	4.44151	−	0.408732i	0.149300	−	0.0137394i
$886$	−15.0267	−	17.1659i	−0.504831	−	0.576699i
$887$	8.49782	−	31.7143i	0.285329	−	1.06486i	−0.663270	−	0.748380i	$-0.730832\pi$
$887$	8.49782	−	31.7143i	0.285329	−	1.06486i	0.948599	−	0.316482i	$-0.102502\pi$
$888$	−13.4906	+	66.8751i	−0.452716	+	2.24418i
$889$	8.63945	−	6.24679i	0.289758	−	0.209511i
$890$	4.02622	+	13.6306i	0.134959	+	0.456898i
$891$	4.10906	+	7.11710i	0.137659	+	0.238432i
$892$	−29.8155	−	12.4131i	−0.998298	−	0.415621i
$893$	−7.51789	−	28.0571i	−0.251577	−	0.938897i
$894$	16.8477	−	3.33540i	0.563470	−	0.111553i
$895$	−0.0875979	−	0.0150397i	−0.00292808	−	0.000502722i
$896$	12.2975	+	27.2905i	0.410830	+	0.911712i
$897$	18.4197	−	18.4197i	0.615015	−	0.615015i
$898$	41.5251	+	27.8004i	1.38571	+	0.927712i
$899$	−19.5881	−	11.3092i	−0.653300	−	0.377183i
$900$	−37.6351	+	1.91462i	−1.25450	+	0.0638205i
$901$	−0.340410	+	0.196536i	−0.0113407	+	0.00654757i
$902$	8.05392	+	16.3690i	0.268166	+	0.545027i
$903$	−22.9272	+	28.1807i	−0.762971	+	0.937796i
$904$	−3.82989	−	5.76556i	−0.127380	−	0.191760i
$905$	17.3905	+	47.1192i	0.578081	+	1.56630i
$906$	−5.10944	+	4.47271i	−0.169750	+	0.148596i
$907$	−7.82991	−	29.2216i	−0.259988	−	0.970289i	−0.965247	−	0.261339i	$-0.915836\pi$
$907$	−7.82991	−	29.2216i	−0.259988	−	0.970289i	0.705259	−	0.708950i	$-0.250831\pi$
$908$	9.26443	−	7.08231i	0.307451	−	0.235035i
$909$	46.6093			1.54593
$910$	33.1503	−	13.6129i	1.09892	−	0.451263i
$911$		−	13.6579i		−	0.452506i	−0.974069	−	0.226253i	$-0.927352\pi$
$911$		−	13.6579i		−	0.452506i	0.974069	−	0.226253i	$-0.0726476\pi$
$912$	0.283004	−	78.3895i	0.00937121	−	2.59574i
$913$	−13.1121	+	3.51338i	−0.433948	+	0.116276i
$914$	34.0629	−	29.8180i	1.12670	−	0.986293i
$915$	3.33801	−	7.24331i	0.110351	−	0.239457i
$916$	−11.5889	+	15.0466i	−0.382907	+	0.497154i
$917$	−35.4138	+	13.5012i	−1.16947	+	0.445849i
$918$	10.7174	−	5.27319i	0.353725	−	0.174041i
$919$	−19.7817	−	34.2630i	−0.652540	−	1.13023i	−0.982505	−	0.186238i	$-0.940370\pi$
$919$	−19.7817	−	34.2630i	−0.652540	−	1.13023i	0.329965	−	0.943993i	$-0.392963\pi$
$920$	−14.6995	−	1.58320i	−0.484630	−	0.0521964i
$921$	−28.3894	+	49.1720i	−0.935464	+	1.62027i
$922$	−38.5400	−	25.8020i	−1.26925	−	0.849743i
$923$	−4.45890	−	4.45890i	−0.146767	−	0.146767i
$924$	0.560954	−	18.5245i	0.0184540	−	0.609413i
$925$	−19.9684	−	41.8350i	−0.656556	−	1.37553i
$926$	4.09733	+	20.6963i	0.134647	+	0.680122i
$927$	20.3787	−	5.46046i	0.669324	−	0.179345i
$928$	−3.68104	−	18.9524i	−0.120836	−	0.622144i
$929$	−0.204383	+	0.118001i	−0.00670560	+	0.00387148i	−0.503349	−	0.864083i	$-0.667899\pi$
$929$	−0.204383	+	0.118001i	−0.00670560	+	0.00387148i	0.496643	+	0.867955i	$0.334566\pi$
$930$	26.0524	−	47.8952i	0.854293	−	1.57054i
$931$	−51.6272	+	10.7271i	−1.69201	+	0.351566i
$932$	0.941122	−	0.122173i	0.0308275	−	0.00400192i
$933$	−38.5676	−	10.3342i	−1.26265	−	0.338325i
$934$	41.4856	−	36.3157i	1.35745	−	1.18829i
$935$	−12.6651	+	1.16552i	−0.414194	+	0.0381164i
$936$	−20.3029	+	40.8907i	−0.663621	+	1.33656i
$937$	15.1895	−	15.1895i	0.496220	−	0.496220i	−0.414039	−	0.910259i	$-0.635882\pi$
$937$	15.1895	−	15.1895i	0.496220	−	0.496220i	0.910259	+	0.414039i	$0.135882\pi$
$938$	15.2063	−	28.6800i	0.496503	−	0.936435i
$939$		−	15.5049i		−	0.505982i
$940$	15.2747	−	8.00393i	0.498207	−	0.261059i
$941$	−10.9201	−	6.30470i	−0.355984	−	0.205527i	0.311334	−	0.950301i	$-0.399224\pi$
$941$	−10.9201	−	6.30470i	−0.355984	−	0.205527i	−0.667317	+	0.744773i	$0.732558\pi$
$942$	−0.782997	+	11.7833i	−0.0255114	+	0.383919i
$943$	21.6361	+	5.79738i	0.704569	+	0.188789i
$944$	−2.96521	+	0.783063i	−0.0965094	+	0.0254865i
$945$	−9.81913	−	6.59151i	−0.319416	−	0.214422i
$946$	−3.23860	+	9.51239i	−0.105296	+	0.309274i
$947$	−49.3508	−	13.2235i	−1.60369	−	0.429706i	−0.657533	−	0.753426i	$-0.728400\pi$
$947$	−49.3508	−	13.2235i	−1.60369	−	0.429706i	−0.946153	+	0.323719i	$0.895067\pi$
$948$	−6.03955	+	14.5067i	−0.196156	+	0.471154i
$949$	−2.02860	+	3.51363i	−0.0658510	+	0.114057i
$950$	31.8431	+	42.6989i	1.03313	+	1.38534i
$951$		−	9.22743i		−	0.299220i
$952$	31.4698	+	3.05026i	1.01994	+	0.0988597i
$953$	−0.903575	−	0.903575i	−0.0292697	−	0.0292697i	0.692320	−	0.721590i	$-0.256588\pi$
$953$	−0.903575	−	0.903575i	−0.0292697	−	0.0292697i	−0.721590	+	0.692320i	$0.756588\pi$
$954$	−0.486365	+	0.0962878i	−0.0157467	+	0.00311743i
$955$	−33.6564	+	40.4787i	−1.08910	+	1.30986i
$956$	11.8449	+	28.7427i	0.383091	+	0.929607i
$957$	−3.09382	+	11.5463i	−0.100009	+	0.373238i
$958$	8.33427	+	16.9387i	0.269268	+	0.547266i
$959$	−7.79631	+	0.801400i	−0.251756	+	0.0258785i
$960$	45.4451	−	10.0313i	1.46673	−	0.323760i
$961$	6.46003	+	11.1891i	0.208388	+	0.360939i
$962$	−56.0368	−	3.72364i	−1.80670	−	0.120055i
$963$	9.04054	−	2.42240i	0.291327	−	0.0780609i
$964$	−40.9765	−	5.46993i	−1.31976	−	0.176174i
$965$	8.38173	−	5.92535i	0.269818	−	0.190744i
$966$	−16.6605	−	15.4996i	−0.536041	−	0.498692i
$967$	−7.22225	−	7.22225i	−0.232252	−	0.232252i	0.581380	−	0.813632i	$-0.302513\pi$
$967$	−7.22225	−	7.22225i	−0.232252	−	0.232252i	−0.813632	+	0.581380i	$0.802513\pi$
$968$	8.28643	+	24.6299i	0.266336	+	0.791636i
$969$	−71.7071	−	41.4001i	−2.30356	−	1.32996i
$970$	−25.5248	−	41.7243i	−0.819550	−	1.33969i
$971$	−10.5245	−	18.2290i	−0.337747	−	0.584996i	0.646261	−	0.763116i	$-0.276332\pi$
$971$	−10.5245	−	18.2290i	−0.337747	−	0.584996i	−0.984009	+	0.178121i	$0.942998\pi$
$972$	−43.3929	+	5.63311i	−1.39183	+	0.180682i
$973$	59.2098	+	9.51679i	1.89818	+	0.305094i
$974$	−1.05828	+	3.10836i	−0.0339093	+	0.0995982i
$975$	−10.1687	−	54.7813i	−0.325658	−	1.75441i
$976$	−1.43845	+	5.29187i	−0.0460436	+	0.169389i
$977$	2.50118	+	9.33452i	0.0800197	+	0.298638i	0.994325	−	0.106389i	$-0.0339289\pi$
$977$	2.50118	+	9.33452i	0.0800197	+	0.298638i	−0.914305	+	0.405027i	$0.867262\pi$
$978$	−38.9539	−	26.0791i	−1.24561	−	0.833916i
$979$			6.05069i			0.193381i
$980$	−12.9284	−	28.5106i	−0.412982	−	0.910739i
$981$		−	8.74943i		−	0.279348i
$982$	26.0713	−	38.9423i	0.831968	−	1.24270i
$983$	4.19873	+	15.6699i	0.133919	+	0.499792i	1.00000		0.000111531i	$-3.55014e-5\pi$
$983$	4.19873	+	15.6699i	0.133919	+	0.499792i	−0.866081	+	0.499903i	$0.833369\pi$
$984$	−70.3703	+	4.42099i	−2.24332	+	0.140936i
$985$	−45.5354	−	20.9845i	−1.45088	−	0.668622i
$986$	−19.3046	−	6.57247i	−0.614784	−	0.209310i
$987$	26.2056	+	4.21203i	0.834133	+	0.134070i
$988$	63.9935	−	8.30741i	2.03590	−	0.264294i
$989$	6.16898	+	10.6850i	0.196162	+	0.339763i
$990$	−15.5967	−	3.75705i	−0.495694	−	0.119407i
$991$	21.4275	+	12.3712i	0.680666	+	0.392983i	0.800106	−	0.599859i	$-0.204777\pi$
$991$	21.4275	+	12.3712i	0.680666	+	0.392983i	−0.119440	+	0.992841i	$0.538110\pi$
$992$	−12.2106	+	35.4449i	−0.387687	+	1.12538i
$993$	−6.57377	−	6.57377i	−0.208612	−	0.208612i
$994$	−3.75204	+	4.03304i	−0.119007	+	0.127920i
$995$	1.28926	−	7.50924i	0.0408724	−	0.238059i
$996$	6.94205	−	52.0045i	0.219967	−	1.64783i
$997$	10.6155	−	2.84441i	0.336195	−	0.0900833i	−0.0867720	−	0.996228i	$-0.527655\pi$
$997$	10.6155	−	2.84441i	0.336195	−	0.0900833i	0.422967	+	0.906145i	$0.360988\pi$
$998$	3.23150	−	48.6305i	0.102291	−	1.53937i
$999$	9.26673	+	16.0504i	0.293186	+	0.507814i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.br.a.123.14	yes	176
5.2	odd	4	inner	280.2.br.a.67.9	✓	176
7.2	even	3	inner	280.2.br.a.163.43	yes	176
8.3	odd	2	inner	280.2.br.a.123.21	yes	176
35.2	odd	12	inner	280.2.br.a.107.21	yes	176
40.27	even	4	inner	280.2.br.a.67.43	yes	176
56.51	odd	6	inner	280.2.br.a.163.9	yes	176
280.107	even	12	inner	280.2.br.a.107.14	yes	176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.br.a.67.9	✓	176	5.2	odd	4	inner
280.2.br.a.67.43	yes	176	40.27	even	4	inner
280.2.br.a.107.14	yes	176	280.107	even	12	inner
280.2.br.a.107.21	yes	176	35.2	odd	12	inner
280.2.br.a.123.14	yes	176	1.1	even	1	trivial
280.2.br.a.123.21	yes	176	8.3	odd	2	inner
280.2.br.a.163.9	yes	176	56.51	odd	6	inner
280.2.br.a.163.43	yes	176	7.2	even	3	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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.br (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.786756 + 1.17517i) q^{2} +(-2.51296 + 0.673346i) q^{3} +(-0.762030 - 1.84914i) q^{4} +(-2.09775 + 0.774229i) q^{5} +(1.18579 - 3.48291i) q^{6} +(0.419863 - 2.61222i) q^{7} +(2.77258 + 0.559308i) q^{8} +(3.26351 - 1.88419i) q^{9} +O(q^{10})\)	\(q+(-0.786756 + 1.17517i) q^{2} +(-2.51296 + 0.673346i) q^{3} +(-0.762030 - 1.84914i) q^{4} +(-2.09775 + 0.774229i) q^{5} +(1.18579 - 3.48291i) q^{6} +(0.419863 - 2.61222i) q^{7} +(2.77258 + 0.559308i) q^{8} +(3.26351 - 1.88419i) q^{9} +(0.740572 - 3.07434i) q^{10} +(0.673124 - 1.16589i) q^{11} +(3.16006 + 4.13370i) q^{12} +(-3.02874 + 3.02874i) q^{13} +(2.73947 + 2.54859i) q^{14} +(4.75025 - 3.35812i) q^{15} +(-2.83862 + 2.81820i) q^{16} +(1.09352 + 4.08108i) q^{17} +(-0.353352 + 5.31757i) q^{18} +(6.52363 - 3.76642i) q^{19} +(3.03021 + 3.28905i) q^{20} +(0.703832 + 6.84714i) q^{21} +(0.840524 + 1.70830i) q^{22} +(2.25799 + 0.605027i) q^{23} +(-7.34399 + 0.461383i) q^{24} +(3.80114 - 3.24828i) q^{25} +(-1.17639 - 5.94214i) q^{26} +(-1.41352 + 1.41352i) q^{27} +(-5.15031 + 1.21421i) q^{28} +3.41296 q^{29} +(0.209064 + 8.22436i) q^{30} +(-5.73934 - 3.31361i) q^{31} +(-1.07855 - 5.55308i) q^{32} +(-0.906492 + 3.38307i) q^{33} +(-5.65627 - 1.92574i) q^{34} +(1.14169 + 5.80487i) q^{35} +(-5.97102 - 4.59887i) q^{36} +(2.39958 - 8.95535i) q^{37} +(-0.706336 + 10.6296i) q^{38} +(5.57171 - 9.65049i) q^{39} +(-6.24921 + 0.973319i) q^{40} +9.58202 q^{41} +(-8.60027 - 4.55991i) q^{42} +(3.73207 + 3.73207i) q^{43} +(-2.66882 - 0.356259i) q^{44} +(-5.38725 + 6.47927i) q^{45} +(-2.48749 + 2.17751i) q^{46} +(0.998016 - 3.72465i) q^{47} +(5.23572 - 8.99340i) q^{48} +(-6.64743 - 2.19355i) q^{49} +(0.826705 + 7.02257i) q^{50} +(-5.49595 - 9.51927i) q^{51} +(7.90854 + 3.29256i) q^{52} +(0.0240790 + 0.0898639i) q^{53} +(-0.549027 - 2.77322i) q^{54} +(-0.509386 + 2.96689i) q^{55} +(2.62514 - 7.00776i) q^{56} +(-13.8575 + 13.8575i) q^{57} +(-2.68516 + 4.01079i) q^{58} +(0.663996 + 0.383358i) q^{59} +(-9.82947 - 6.22488i) q^{60} +(1.18730 - 0.685485i) q^{61} +(8.40950 - 4.13768i) q^{62} +(-3.55170 - 9.31613i) q^{63} +(7.37435 + 3.10145i) q^{64} +(4.00860 - 8.69848i) q^{65} +(-3.26248 - 3.72693i) q^{66} +(-2.24546 - 8.38018i) q^{67} +(6.71317 - 5.13197i) q^{68} -6.08164 q^{69} +(-7.71992 - 3.22534i) q^{70} +1.47220i q^{71} +(10.1022 - 3.39875i) q^{72} +(0.914941 - 0.245158i) q^{73} +(8.63614 + 9.86558i) q^{74} +(-7.36490 + 10.7223i) q^{75} +(-11.9358 - 9.19296i) q^{76} +(-2.76293 - 2.24786i) q^{77} +(6.95735 + 14.1403i) q^{78} +(1.50999 + 2.61539i) q^{79} +(3.77279 - 8.10963i) q^{80} +(-3.05223 + 5.28661i) q^{81} +(-7.53871 + 11.2605i) q^{82} +(-7.12999 - 7.12999i) q^{83} +(12.1250 - 6.51921i) q^{84} +(-5.45362 - 7.71445i) q^{85} +(-7.32203 + 1.44957i) q^{86} +(-8.57663 + 2.29810i) q^{87} +(2.51838 - 2.85602i) q^{88} +(-3.89233 + 2.24724i) q^{89} +(-3.37577 - 11.4285i) q^{90} +(6.64008 + 9.18339i) q^{91} +(-0.601879 - 4.63639i) q^{92} +(16.6540 + 4.46242i) q^{93} +(3.59188 + 4.10322i) q^{94} +(-10.7689 + 12.9518i) q^{95} +(6.44950 + 13.2285i) q^{96} +(10.9372 - 10.9372i) q^{97} +(7.80769 - 6.08604i) q^{98} -5.07317i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Introduction

L-functions

Modular forms

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Database

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