LMFDB - Embedded newform 600.2.bk.a.539.64

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [600,2,Mod(59,600)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(600, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 5, 7]))

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

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

chi := DirichletCharacter("600.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 600 = 2^{3} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	600.bk (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:	$4.79102412128$
Analytic rank:	$0$
Dimension:	$464$
Relative dimension:	$116$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			539.64
Character	$\chi$	$=$	600.539
Dual form			600.2.bk.a.59.64

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.190456 + 1.40133i) q^{2} +(-1.56146 + 0.749570i) q^{3} +(-1.92745 + 0.533785i) q^{4} +(-1.26771 + 1.84199i) q^{5} +(-1.34778 - 2.04535i) q^{6} -4.42667 q^{7} +(-1.11510 - 2.59933i) q^{8} +(1.87629 - 2.34084i) q^{9} +O(q^{10})$	\(q+(0.190456 + 1.40133i) q^{2} +(-1.56146 + 0.749570i) q^{3} +(-1.92745 + 0.533785i) q^{4} +(-1.26771 + 1.84199i) q^{5} +(-1.34778 - 2.04535i) q^{6} -4.42667 q^{7} +(-1.11510 - 2.59933i) q^{8} +(1.87629 - 2.34084i) q^{9} +(-2.82268 - 1.42566i) q^{10} +(1.12578 + 1.54950i) q^{11} +(2.60952 - 2.27824i) q^{12} +(0.563087 + 0.409107i) q^{13} +(-0.843088 - 6.20323i) q^{14} +(0.598766 - 3.82642i) q^{15} +(3.43015 - 2.05769i) q^{16} +(-0.928635 - 2.85804i) q^{17} +(3.63764 + 2.18347i) q^{18} +(1.16455 + 3.58413i) q^{19} +(1.46022 - 4.22703i) q^{20} +(6.91206 - 3.31810i) q^{21} +(-1.95695 + 1.87270i) q^{22} +(3.33881 + 4.59547i) q^{23} +(3.68957 + 3.22290i) q^{24} +(-1.78585 - 4.67020i) q^{25} +(-0.466050 + 0.866988i) q^{26} +(-1.17512 + 5.06153i) q^{27} +(8.53220 - 2.36289i) q^{28} +(1.67684 - 5.16077i) q^{29} +(5.47611 + 0.110303i) q^{30} +(-5.51477 + 1.79186i) q^{31} +(3.53680 + 4.41487i) q^{32} +(-2.91932 - 1.57563i) q^{33} +(3.82820 - 1.84566i) q^{34} +(5.61172 - 8.15388i) q^{35} +(-2.36695 + 5.51340i) q^{36} +(-2.64909 - 1.92467i) q^{37} +(-4.80075 + 2.31455i) q^{38} +(-1.18589 - 0.216729i) q^{39} +(6.20157 + 1.24118i) q^{40} +(1.09138 - 1.50215i) q^{41} +(5.96620 + 9.05412i) q^{42} -8.47941i q^{43} +(-2.99699 - 2.38567i) q^{44} +(1.93322 + 6.42360i) q^{45} +(-5.80388 + 5.55401i) q^{46} +(-11.6938 - 3.79954i) q^{47} +(-3.81364 + 5.78413i) q^{48} +12.5954 q^{49} +(6.20436 - 3.39203i) q^{50} +(3.59233 + 3.76663i) q^{51} +(-1.30370 - 0.487967i) q^{52} +(3.32123 + 1.07913i) q^{53} +(-7.31669 - 0.682727i) q^{54} +(-4.28133 + 0.109361i) q^{55} +(4.93620 + 11.5064i) q^{56} +(-4.50496 - 4.72354i) q^{57} +(7.55131 + 1.36690i) q^{58} +(5.82299 - 8.01466i) q^{59} +(0.888390 + 7.69485i) q^{60} +(3.18229 + 4.38005i) q^{61} +(-3.56131 - 7.38674i) q^{62} +(-8.30572 + 10.3621i) q^{63} +(-5.51308 + 5.79706i) q^{64} +(-1.46740 + 0.518573i) q^{65} +(1.65198 - 4.39102i) q^{66} +(-6.91020 + 2.24526i) q^{67} +(3.31548 + 5.01306i) q^{68} +(-8.65803 - 4.67296i) q^{69} +(12.4951 + 6.31091i) q^{70} +(3.80430 - 11.7084i) q^{71} +(-8.17689 - 2.26682i) q^{72} +(-4.49568 - 6.18778i) q^{73} +(2.19257 - 4.07881i) q^{74} +(6.28916 + 5.95369i) q^{75} +(-4.15778 - 6.28662i) q^{76} +(-4.98346 - 6.85915i) q^{77} +(0.0778483 - 1.70310i) q^{78} +(-8.54174 - 2.77538i) q^{79} +(-0.558175 + 8.92684i) q^{80} +(-1.95908 - 8.78419i) q^{81} +(2.31287 + 1.24329i) q^{82} +(1.23412 + 3.79823i) q^{83} +(-11.5515 + 10.0850i) q^{84} +(6.44172 + 1.91262i) q^{85} +(11.8824 - 1.61496i) q^{86} +(1.25005 + 9.31523i) q^{87} +(2.77232 - 4.65414i) q^{88} +(4.50569 + 6.20156i) q^{89} +(-8.63339 + 3.93250i) q^{90} +(-2.49260 - 1.81098i) q^{91} +(-8.88839 - 7.07535i) q^{92} +(7.26794 - 6.93161i) q^{93} +(3.09726 - 17.1105i) q^{94} +(-8.07824 - 2.39852i) q^{95} +(-8.83181 - 4.24255i) q^{96} +(-12.6891 - 4.12293i) q^{97} +(2.39888 + 17.6504i) q^{98} +(5.73943 + 0.272044i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) $ 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9	$ 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9} - 16 q^{10} - 5 q^{12} - 18 q^{16} - 12 q^{19} - 10 q^{22} + 12 q^{24} - 16 q^{25} - 10 q^{27} - 50 q^{28} - 21 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 32 q^{40} + 15 q^{42} - 34 q^{46} - 70 q^{48} + 336 q^{49} - 4 q^{51} - 60 q^{52} + 40 q^{54} - 70 q^{58} - 50 q^{60} - 30 q^{64} + 28 q^{66} - 20 q^{67} - 16 q^{70} - 5 q^{72} - 20 q^{73} - 42 q^{75} - 48 q^{76} + 75 q^{78} - 6 q^{81} - 76 q^{84} - 70 q^{88} + 66 q^{90} - 96 q^{91} - 108 q^{94} - 50 q^{96} - 60 q^{97} - 52 q^{99}+O(q^{100}) $ 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9 - 16 * q^10 - 5 * q^12 - 18 * q^16 - 12 * q^19 - 10 * q^22 + 12 * q^24 - 16 * q^25 - 10 * q^27 - 50 * q^28 - 21 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 32 * q^40 + 15 * q^42 - 34 * q^46 - 70 * q^48 + 336 * q^49 - 4 * q^51 - 60 * q^52 + 40 * q^54 - 70 * q^58 - 50 * q^60 - 30 * q^64 + 28 * q^66 - 20 * q^67 - 16 * q^70 - 5 * q^72 - 20 * q^73 - 42 * q^75 - 48 * q^76 + 75 * q^78 - 6 * q^81 - 76 * q^84 - 70 * q^88 + 66 * q^90 - 96 * q^91 - 108 * q^94 - 50 * q^96 - 60 * q^97 - 52 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/600\mathbb{Z}\right)^\times$.

$n$	$151$	$301$	$401$	$577$
$\chi(n)$	$-1$	$-1$	$-1$	$e\left(\frac{3}{10}\right)$

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 $

$2$	0.190456	+	1.40133i	0.134673	+	0.990890i
$2$	0.190456	+	1.40133i	0.134673	+	0.990890i
$3$	−1.56146	+	0.749570i	−0.901507	+	0.432765i
$3$	−1.56146	+	0.749570i	−0.901507	+	0.432765i
$4$	−1.92745	+	0.533785i	−0.963726	+	0.266892i
$5$	−1.26771	+	1.84199i	−0.566935	+	0.823762i
$5$	−1.26771	+	1.84199i	−0.566935	+	0.823762i
$6$	−1.34778	−	2.04535i	−0.550231	−	0.835013i
$7$	−4.42667			−1.67313			−0.836563	−	0.547871i	$-0.815438\pi$
$7$	−4.42667			−1.67313			−0.836563	+	0.547871i	$0.815438\pi$
$8$	−1.11510	−	2.59933i	−0.394249	−	0.919004i
$9$	1.87629	−	2.34084i	0.625430	−	0.780281i
$10$	−2.82268	−	1.42566i	−0.892609	−	0.450832i
$11$	1.12578	+	1.54950i	0.339436	+	0.467193i	0.944276	−	0.329153i	$-0.106763\pi$
$11$	1.12578	+	1.54950i	0.339436	+	0.467193i	−0.604841	+	0.796346i	$0.706763\pi$
$12$	2.60952	−	2.27824i	0.753304	−	0.657672i
$13$	0.563087	+	0.409107i	0.156172	+	0.113466i	0.663127	−	0.748507i	$-0.269229\pi$
$13$	0.563087	+	0.409107i	0.156172	+	0.113466i	−0.506955	+	0.861973i	$0.669229\pi$
$14$	−0.843088	−	6.20323i	−0.225325	−	1.65788i
$15$	0.598766	−	3.82642i	0.154601	−	0.987977i
$16$	3.43015	−	2.05769i	0.857537	−	0.514422i
$17$	−0.928635	−	2.85804i	−0.225227	−	0.693178i	−0.998268	−	0.0588221i	$-0.981266\pi$
$17$	−0.928635	−	2.85804i	−0.225227	−	0.693178i	0.773041	−	0.634356i	$-0.218734\pi$
$18$	3.63764	+	2.18347i	0.857401	+	0.514649i
$19$	1.16455	+	3.58413i	0.267167	+	0.822256i	0.991186	+	0.132476i	$0.0422927\pi$
$19$	1.16455	+	3.58413i	0.267167	+	0.822256i	−0.724019	+	0.689780i	$0.757707\pi$
$20$	1.46022	−	4.22703i	0.326514	−	0.945192i
$21$	6.91206	−	3.31810i	1.50833	−	0.724069i
$22$	−1.95695	+	1.87270i	−0.417224	+	0.399262i
$23$	3.33881	+	4.59547i	0.696189	+	0.958222i	0.999985	+	0.00548519i	$0.00174600\pi$
$23$	3.33881	+	4.59547i	0.696189	+	0.958222i	−0.303796	+	0.952737i	$0.598254\pi$
$24$	3.68957	+	3.22290i	0.753130	+	0.657871i
$25$	−1.78585	−	4.67020i	−0.357169	−	0.934040i
$26$	−0.466050	+	0.866988i	−0.0913999	+	0.170030i
$27$	−1.17512	+	5.06153i	−0.226152	+	0.974092i
$28$	8.53220	−	2.36289i	1.61243	−	0.446544i
$29$	1.67684	−	5.16077i	0.311381	−	0.958331i	−0.665838	−	0.746096i	$-0.731926\pi$
$29$	1.67684	−	5.16077i	0.311381	−	0.958331i	0.977219	−	0.212235i	$-0.0680742\pi$
$30$	5.47611	+	0.110303i	0.999797	+	0.0201385i
$31$	−5.51477	+	1.79186i	−0.990482	+	0.321827i	−0.759056	−	0.651026i	$-0.774339\pi$
$31$	−5.51477	+	1.79186i	−0.990482	+	0.321827i	−0.231426	+	0.972853i	$0.574339\pi$
$32$	3.53680	+	4.41487i	0.625223	+	0.780446i
$33$	−2.91932	−	1.57563i	−0.508188	−	0.274282i
$34$	3.82820	−	1.84566i	0.656531	−	0.316528i
$35$	5.61172	−	8.15388i	0.948553	−	1.37826i
$36$	−2.36695	+	5.51340i	−0.394492	+	0.918899i
$37$	−2.64909	−	1.92467i	−0.435507	−	0.316414i	0.348340	−	0.937368i	$-0.386745\pi$
$37$	−2.64909	−	1.92467i	−0.435507	−	0.316414i	−0.783847	+	0.620954i	$0.786745\pi$
$38$	−4.80075	+	2.31455i	−0.778785	+	0.375469i
$39$	−1.18589	−	0.216729i	−0.189894	−	0.0347044i
$40$	6.20157	+	1.24118i	0.980554	+	0.196248i
$41$	1.09138	−	1.50215i	0.170445	−	0.234597i	−0.715246	−	0.698873i	$-0.753685\pi$
$41$	1.09138	−	1.50215i	0.170445	−	0.234597i	0.885691	+	0.464276i	$0.153685\pi$
$42$	5.96620	+	9.05412i	0.920605	+	1.39708i
$43$		−	8.47941i		−	1.29310i	−0.762873	−	0.646549i	$-0.776212\pi$
$43$		−	8.47941i		−	1.29310i	0.762873	−	0.646549i	$-0.223788\pi$
$44$	−2.99699	−	2.38567i	−0.451813	−	0.359653i
$45$	1.93322	+	6.42360i	0.288188	+	0.957574i
$46$	−5.80388	+	5.55401i	−0.855735	+	0.818894i
$47$	−11.6938	−	3.79954i	−1.70572	−	0.554220i	−0.716104	−	0.697993i	$-0.754077\pi$
$47$	−11.6938	−	3.79954i	−1.70572	−	0.554220i	−0.989611	+	0.143773i	$0.954077\pi$
$48$	−3.81364	+	5.78413i	−0.550452	+	0.834867i
$49$	12.5954			1.79935
$50$	6.20436	−	3.39203i	0.877430	−	0.479705i
$51$	3.59233	+	3.76663i	0.503027	+	0.527434i
$52$	−1.30370	−	0.487967i	−0.180790	−	0.0676688i
$53$	3.32123	+	1.07913i	0.456206	+	0.148230i	0.528100	−	0.849182i	$-0.322904\pi$
$53$	3.32123	+	1.07913i	0.456206	+	0.148230i	−0.0718943	+	0.997412i	$0.522904\pi$
$54$	−7.31669	−	0.682727i	−0.995675	−	0.0929074i
$55$	−4.28133	+	0.109361i	−0.577294	+	0.0147462i
$56$	4.93620	+	11.5064i	0.659628	+	1.53761i
$57$	−4.50496	−	4.72354i	−0.596696	−	0.625649i
$58$	7.55131	+	1.36690i	0.991536	+	0.179483i
$59$	5.82299	−	8.01466i	0.758089	−	1.04342i	−0.239282	−	0.970950i	$-0.576912\pi$
$59$	5.82299	−	8.01466i	0.758089	−	1.04342i	0.997371	−	0.0724696i	$-0.0230880\pi$
$60$	0.888390	+	7.69485i	0.114691	+	0.993401i
$61$	3.18229	+	4.38005i	0.407451	+	0.560808i	0.962594	−	0.270946i	$-0.0873366\pi$
$61$	3.18229	+	4.38005i	0.407451	+	0.560808i	−0.555143	+	0.831755i	$0.687337\pi$
$62$	−3.56131	−	7.38674i	−0.452286	−	0.938117i
$63$	−8.30572	+	10.3621i	−1.04642	+	1.30551i
$64$	−5.51308	+	5.79706i	−0.689136	+	0.724632i
$65$	−1.46740	+	0.518573i	−0.182008	+	0.0643211i
$66$	1.65198	−	4.39102i	0.203344	−	0.540497i
$67$	−6.91020	+	2.24526i	−0.844216	+	0.274302i	−0.699021	−	0.715101i	$-0.746381\pi$
$67$	−6.91020	+	2.24526i	−0.844216	+	0.274302i	−0.145194	+	0.989403i	$0.546381\pi$
$68$	3.31548	+	5.01306i	0.402061	+	0.607922i
$69$	−8.65803	−	4.67296i	−1.04230	−	0.562558i
$70$	12.4951	+	6.31091i	1.49345	+	0.754298i
$71$	3.80430	−	11.7084i	0.451488	−	1.38954i	−0.423722	−	0.905792i	$-0.639277\pi$
$71$	3.80430	−	11.7084i	0.451488	−	1.38954i	0.875210	−	0.483744i	$-0.160723\pi$
$72$	−8.17689	−	2.26682i	−0.963656	−	0.267147i
$73$	−4.49568	−	6.18778i	−0.526180	−	0.724225i	0.460362	−	0.887731i	$-0.347720\pi$
$73$	−4.49568	−	6.18778i	−0.526180	−	0.724225i	−0.986542	+	0.163506i	$0.947720\pi$
$74$	2.19257	−	4.07881i	0.254881	−	0.474152i
$75$	6.28916	+	5.95369i	0.726210	+	0.687473i
$76$	−4.15778	−	6.28662i	−0.476930	−	0.721125i
$77$	−4.98346	−	6.85915i	−0.567918	−	0.781672i
$78$	0.0778483	−	1.70310i	0.00881458	−	0.192838i
$79$	−8.54174	−	2.77538i	−0.961021	−	0.312255i	−0.213835	−	0.976870i	$-0.568596\pi$
$79$	−8.54174	−	2.77538i	−0.961021	−	0.312255i	−0.747186	+	0.664615i	$0.768596\pi$
$80$	−0.558175	+	8.92684i	−0.0624059	+	0.998051i
$81$	−1.95908	−	8.78419i	−0.217675	−	0.976021i
$82$	2.31287	+	1.24329i	0.255414	+	0.137298i
$83$	1.23412	+	3.79823i	0.135462	+	0.416910i	0.995662	−	0.0930478i	$-0.0296609\pi$
$83$	1.23412	+	3.79823i	0.135462	+	0.416910i	−0.860199	+	0.509958i	$0.829661\pi$
$84$	−11.5515	+	10.0850i	−1.26037	+	1.10037i
$85$	6.44172	+	1.91262i	0.698703	+	0.207453i
$86$	11.8824	−	1.61496i	1.28132	−	0.174145i
$87$	1.25005	+	9.31523i	0.134020	+	0.998697i
$88$	2.77232	−	4.65414i	0.295530	−	0.496133i
$89$	4.50569	+	6.20156i	0.477603	+	0.657364i	0.978042	−	0.208408i	$-0.0668282\pi$
$89$	4.50569	+	6.20156i	0.477603	+	0.657364i	−0.500439	+	0.865772i	$0.666828\pi$
$90$	−8.63339	+	3.93250i	−0.910039	+	0.414522i
$91$	−2.49260	−	1.81098i	−0.261296	−	0.189843i
$92$	−8.88839	−	7.07535i	−0.926678	−	0.737657i
$93$	7.26794	−	6.93161i	0.753651	−	0.718775i
$94$	3.09726	−	17.1105i	0.319458	−	1.76481i
$95$	−8.07824	−	2.39852i	−0.828810	−	0.246083i
$96$	−8.83181	−	4.24255i	−0.901392	−	0.433003i
$97$	−12.6891	−	4.12293i	−1.28838	−	0.418620i	−0.416856	−	0.908973i	$-0.636868\pi$
$97$	−12.6891	−	4.12293i	−1.28838	−	0.418620i	−0.871524	+	0.490352i	$0.836868\pi$
$98$	2.39888	+	17.6504i	0.242324	+	1.78296i
$99$	5.73943	+	0.272044i	0.576835	+	0.0273414i
$100$	5.93501	+	8.04833i	0.593501	+	0.804833i
$101$	−4.71172			−0.468834			−0.234417	−	0.972136i	$-0.575318\pi$
$101$	−4.71172			−0.468834			−0.234417	+	0.972136i	$0.575318\pi$
$102$	−4.59412	+	5.75142i	−0.454885	+	0.569475i
$103$	2.32094	−	7.14313i	0.228689	−	0.703833i	−0.769207	−	0.639000i	$-0.779348\pi$
$103$	2.32094	−	7.14313i	0.228689	−	0.703833i	0.997896	−	0.0648334i	$-0.0206516\pi$
$104$	0.435505	−	1.91985i	0.0427047	−	0.188257i
$105$	−2.65054	+	16.9383i	−0.258666	+	1.65301i
$106$	−0.879672	+	4.85967i	−0.0854413	+	0.472013i
$107$	11.3875			1.10088			0.550438	−	0.834876i	$-0.314461\pi$
$107$	11.3875			1.10088			0.550438	+	0.834876i	$0.314461\pi$
$108$	−0.436784	−	10.3831i	−0.0420296	−	0.999116i
$109$	−7.66115	+	10.5447i	−0.733805	+	1.01000i	0.265146	+	0.964208i	$0.414580\pi$
$109$	−7.66115	+	10.5447i	−0.733805	+	1.01000i	−0.998951	+	0.0457883i	$0.985420\pi$
$110$	−0.968657	−	5.97872i	−0.0923578	−	0.570049i
$111$	5.57911	+	1.01962i	0.529546	+	0.0967778i
$112$	−15.1841	+	9.10872i	−1.43477	+	0.860693i
$113$	3.71839	+	2.70157i	0.349796	+	0.254142i	0.748784	−	0.662815i	$-0.230638\pi$
$113$	3.71839	+	2.70157i	0.349796	+	0.254142i	−0.398987	+	0.916956i	$0.630638\pi$
$114$	5.76125	−	7.21256i	0.539590	−	0.675518i
$115$	−12.6974	+	0.324339i	−1.18404	+	0.0302448i
$116$	−0.477282	+	10.8422i	−0.0443145	+	1.00667i
$117$	2.01417	−	0.550495i	0.186210	−	0.0508933i
$118$	12.3402	+	6.63349i	1.13601	+	0.610662i
$119$	4.11076	+	12.6516i	0.376833	+	1.15977i
$120$	−10.6138	+	2.71046i	−0.968906	+	0.247430i
$121$	2.26561	−	6.97282i	0.205964	−	0.633893i
$122$	−5.53181	+	5.29365i	−0.500827	+	0.479265i
$123$	−0.578169	+	3.16361i	−0.0521318	+	0.285253i
$124$	9.67299	−	6.39742i	0.868660	−	0.574505i
$125$	10.8664	+	2.63093i	0.971919	+	0.235317i
$126$	−16.1027	−	9.66552i	−1.43454	−	0.861073i
$127$	−14.6384	+	10.6354i	−1.29895	+	0.943742i	−0.999945	−	0.0105091i	$-0.996655\pi$
$127$	−14.6384	+	10.6354i	−1.29895	+	0.943742i	−0.299005	+	0.954251i	$0.596655\pi$
$128$	−9.17360	−	6.62156i	−0.810839	−	0.585269i
$129$	6.35591	+	13.2402i	0.559607	+	1.16574i
$130$	−1.00617	−	1.95754i	−0.0882468	−	0.171688i
$131$	−13.1203	+	4.26303i	−1.14632	+	0.372463i	−0.819757	−	0.572712i	$-0.805891\pi$
$131$	−13.1203	+	4.26303i	−1.14632	+	0.372463i	−0.326565	+	0.945175i	$0.605891\pi$
$132$	6.46790	+	1.47867i	0.562958	+	0.128701i
$133$	−5.15510	−	15.8658i	−0.447004	−	1.37574i
$134$	−4.46244	−	9.25585i	−0.385497	−	0.799584i
$135$	−7.83358	−	8.58108i	−0.674207	−	0.738542i
$136$	−6.39349	+	5.60085i	−0.548237	+	0.480269i
$137$	3.24232	+	2.35568i	0.277010	+	0.201260i	0.717612	−	0.696443i	$-0.245235\pi$
$137$	3.24232	+	2.35568i	0.277010	+	0.201260i	−0.440602	+	0.897702i	$0.645235\pi$
$138$	4.89938	−	13.0228i	0.417063	−	1.10857i
$139$	−12.2981	+	8.93512i	−1.04311	+	0.757867i	−0.970891	−	0.239521i	$-0.923009\pi$
$139$	−12.2981	+	8.93512i	−1.04311	+	0.757867i	−0.0722234	+	0.997388i	$0.523009\pi$
$140$	−6.46390	+	18.7117i	−0.546299	+	1.58143i
$141$	21.1074	−	2.83250i	1.77756	−	0.238539i
$142$	17.1319	+	3.10114i	1.43768	+	0.260242i
$143$			1.33307i			0.111477i
$144$	1.61922	−	11.8903i	0.134935	−	0.990854i
$145$	7.38035	+	9.63105i	0.612905	+	0.799815i
$146$	7.81489	−	7.47844i	0.646765	−	0.618920i
$147$	−19.6672	+	9.44116i	−1.62213	+	0.778694i
$148$	6.13335	+	2.29568i	0.504158	+	0.188703i
$149$	−4.02193			−0.329489			−0.164745	−	0.986336i	$-0.552680\pi$
$149$	−4.02193			−0.329489			−0.164745	+	0.986336i	$0.552680\pi$
$150$	−7.14528	+	9.94711i	−0.583409	+	0.812178i
$151$		−	19.8973i		−	1.61922i	−0.586969	−	0.809610i	$-0.699679\pi$
$151$		−	19.8973i		−	1.61922i	0.586969	−	0.809610i	$-0.300321\pi$
$152$	8.01775	−	7.02374i	0.650326	−	0.569701i
$153$	−8.43262	−	3.18873i	−0.681737	−	0.257794i
$154$	8.66280	−	8.28984i	0.698068	−	0.668015i
$155$	3.69052	−	12.4297i	0.296430	−	0.998377i
$156$	2.40143	−	0.215275i	0.192269	−	0.0172358i
$157$	−0.634274			−0.0506205			−0.0253103	−	0.999680i	$-0.508057\pi$
$157$	−0.634274			−0.0506205			−0.0253103	+	0.999680i	$0.508057\pi$
$158$	2.26239	−	12.4984i	0.179986	−	0.994319i
$159$	−5.99484	+	0.804477i	−0.475422	+	0.0637991i
$160$	−12.6158	+	0.917986i	−0.997363	+	0.0725732i
$161$	−14.7798	−	20.3427i	−1.16481	−	1.60323i
$162$	11.9364	−	4.41832i	0.937815	−	0.347136i
$163$	−0.287136	+	0.395209i	−0.0224902	+	0.0309552i	−0.820114	−	0.572200i	$-0.806090\pi$
$163$	−0.287136	+	0.395209i	−0.0224902	+	0.0309552i	0.797624	+	0.603155i	$0.206090\pi$
$164$	−1.30175	+	3.47789i	−0.101650	+	0.271577i
$165$	6.60313	−	3.37992i	0.514053	−	0.263126i
$166$	−5.08753	+	2.45281i	−0.394869	+	0.190375i
$167$	13.5040	−	4.38773i	1.04497	−	0.339532i	0.264279	−	0.964446i	$-0.414866\pi$
$167$	13.5040	−	4.38773i	1.04497	−	0.339532i	0.780694	+	0.624914i	$0.214866\pi$
$168$	−16.3325	−	14.2667i	−1.26008	−	1.10070i
$169$	−3.86752	−	11.9030i	−0.297502	−	0.915616i
$170$	−1.45335	+	9.39125i	−0.111467	+	0.720276i
$171$	10.5749	+	3.99883i	0.808684	+	0.305798i
$172$	4.52618	+	16.3437i	0.345118	+	1.24619i
$173$	−3.85874	−	5.31110i	−0.293374	−	0.403795i	0.636732	−	0.771085i	$-0.280286\pi$
$173$	−3.85874	−	5.31110i	−0.293374	−	0.403795i	−0.930107	+	0.367290i	$0.880286\pi$
$174$	−12.8156	+	3.52588i	−0.971550	+	0.267297i
$175$	7.90536	+	20.6734i	0.597589	+	1.56277i
$176$	7.04999	+	2.99852i	0.531413	+	0.226022i
$177$	−3.08479	+	16.8793i	−0.231867	+	1.26872i
$178$	−7.83229	+	7.49509i	−0.587055	+	0.561781i
$179$	−18.7341	−	6.08707i	−1.40025	−	0.454969i	−0.490979	−	0.871171i	$-0.663361\pi$
$179$	−18.7341	−	6.08707i	−1.40025	−	0.454969i	−0.909272	+	0.416202i	$0.863361\pi$
$180$	−7.15501	−	11.3493i	−0.533303	−	0.845924i
$181$	−8.93947	+	2.90461i	−0.664466	+	0.215898i	−0.621782	−	0.783191i	$-0.713591\pi$
$181$	−8.93947	+	2.90461i	−0.664466	+	0.215898i	−0.0426840	+	0.999089i	$0.513591\pi$
$182$	2.06305	−	3.83787i	0.152924	−	0.284482i
$183$	−8.25217	−	4.45390i	−0.610018	−	0.329242i
$184$	8.22206	−	13.8031i	0.606138	−	1.01758i
$185$	6.90349	−	2.43967i	0.507554	−	0.179368i
$186$	11.0977	+	8.86462i	0.813723	+	0.649986i
$187$	3.38311	−	4.65645i	0.247398	−	0.340514i
$188$	24.5674	+	1.08147i	1.79176	+	0.0788745i
$189$	5.20186	−	22.4057i	0.378380	−	1.62978i
$190$	1.82257	−	11.7771i	0.132223	−	0.854400i
$191$	13.1273	+	9.53753i	0.949857	+	0.690111i	0.950773	−	0.309888i	$-0.100292\pi$
$191$	13.1273	+	9.53753i	0.949857	+	0.690111i	−0.000916214		1.00000i	$0.500292\pi$
$192$	4.26313	−	13.1843i	0.307665	−	0.951495i
$193$			25.2967i			1.82090i	0.413622	+	0.910449i	$0.364264\pi$
$193$			25.2967i			1.82090i	−0.413622	+	0.910449i	$0.635736\pi$
$194$	3.36087	−	18.5668i	0.241296	−	1.33302i
$195$	1.90257	−	1.90965i	0.136246	−	0.136753i
$196$	−24.2771	+	6.72325i	−1.73408	+	0.480232i
$197$	−2.24420	−	0.729184i	−0.159893	−	0.0519522i	0.227977	−	0.973667i	$-0.426789\pi$
$197$	−2.24420	−	0.729184i	−0.159893	−	0.0519522i	−0.387870	+	0.921714i	$0.626789\pi$
$198$	0.711889	+	8.09465i	0.0505917	+	0.575262i
$199$		−	0.272231i		−	0.0192980i	−0.999953	−	0.00964898i	$-0.996929\pi$
$199$		−	0.272231i		−	0.0192980i	0.999953	−	0.00964898i	$-0.00307141\pi$
$200$	−10.1480	+	9.84977i	−0.717572	+	0.696484i
$201$	9.10700	−	8.68556i	0.642358	−	0.612632i
$202$	−0.897378	−	6.60268i	−0.0631393	−	0.464563i
$203$	−7.42281	+	22.8451i	−0.520979	+	1.60341i
$204$	−8.93461	−	5.34248i	−0.625548	−	0.374048i
$205$	1.38340	+	3.91459i	0.0966210	+	0.273407i
$206$	10.4519	+	1.89195i	0.728220	+	0.131819i
$207$	17.0218	+	0.806819i	1.18310	+	0.0560778i
$208$	2.77329	+	0.244638i	0.192293	+	0.0169626i
$209$	−4.24259	+	5.83942i	−0.293466	+	0.403921i
$210$	−24.2410	−	0.488275i	−1.67279	−	0.0336942i
$211$	20.6480	−	15.0016i	1.42146	−	1.03275i	0.429936	−	0.902859i	$-0.358536\pi$
$211$	20.6480	−	15.0016i	1.42146	−	1.03275i	0.991528	−	0.129895i	$-0.0414639\pi$
$212$	−6.97754	−	0.307156i	−0.479219	−	0.0210956i
$213$	2.83605	+	21.1338i	0.194323	+	1.44806i
$214$	2.16883	+	15.9577i	0.148258	+	1.09085i
$215$	15.6190	+	10.7494i	1.06520	+	0.733102i
$216$	14.4670	−	2.58961i	0.984354	−	0.176201i
$217$	24.4121	−	7.93196i	1.65720	−	0.538457i
$218$	−16.2357	−	8.72751i	−1.09962	−	0.591101i
$219$	11.6580	+	6.29211i	0.787774	+	0.425182i
$220$	8.19368	−	2.49609i	0.552418	−	0.168287i
$221$	0.646343	−	1.98924i	0.0434777	−	0.133811i
$222$	−0.366243	+	8.01237i	−0.0245806	+	0.537755i
$223$	13.8850	−	10.0881i	0.929810	−	0.675546i	−0.0161366	−	0.999870i	$-0.505137\pi$
$223$	13.8850	−	10.0881i	0.929810	−	0.675546i	0.945946	+	0.324324i	$0.105137\pi$
$224$	−15.6562	−	19.5432i	−1.04608	−	1.30578i
$225$	−14.2830	−	4.58226i	−0.952197	−	0.305484i
$226$	−3.07759	+	5.72522i	−0.204719	+	0.380836i
$227$	−22.6287	+	16.4407i	−1.50192	+	1.09121i	−0.532306	+	0.846552i	$0.678674\pi$
$227$	−22.6287	+	16.4407i	−1.50192	+	1.09121i	−0.969610	+	0.244654i	$0.921326\pi$
$228$	11.2044	+	6.69973i	0.742033	+	0.443701i
$229$	1.76339	+	0.572959i	0.116528	+	0.0378622i	0.366700	−	0.930339i	$-0.380487\pi$
$229$	1.76339	+	0.572959i	0.116528	+	0.0378622i	−0.250173	+	0.968201i	$0.580487\pi$
$230$	−2.87281	−	17.7315i	−0.189428	−	1.16918i
$231$	12.9229	+	6.97480i	0.850262	+	0.458908i
$232$	−15.2844	+	1.39614i	−1.00347	+	0.0916611i
$233$	−1.01925	−	3.13693i	−0.0667733	−	0.205507i	0.912103	−	0.409962i	$-0.134458\pi$
$233$	−1.01925	−	3.13693i	−0.0667733	−	0.205507i	−0.978876	+	0.204455i	$0.934458\pi$
$234$	1.15504	+	2.71767i	0.0755071	+	0.177660i
$235$	21.8230	−	16.7231i	1.42358	−	1.09090i
$236$	−6.94544	+	18.5561i	−0.452109	+	1.20790i
$237$	15.4179	−	2.06900i	1.00150	−	0.134396i
$238$	−16.9462	+	8.17012i	−1.09846	+	0.529590i
$239$	−6.91969	+	5.02745i	−0.447598	+	0.325199i	−0.788647	−	0.614847i	$-0.789218\pi$
$239$	−6.91969	+	5.02745i	−0.447598	+	0.325199i	0.341049	+	0.940046i	$0.389218\pi$
$240$	−5.81973	−	14.3573i	−0.375662	−	0.926757i
$241$	−18.8610	−	13.7033i	−1.21494	−	0.882709i	−0.219274	−	0.975663i	$-0.570369\pi$
$241$	−18.8610	−	13.7033i	−1.21494	−	0.882709i	−0.995670	+	0.0929547i	$0.970369\pi$
$242$	10.2027	+	1.84684i	0.655856	+	0.118720i
$243$	9.64338	+	12.2477i	0.618623	+	0.785688i
$244$	−8.47172	−	6.74368i	−0.542347	−	0.431720i
$245$	−15.9673	+	23.2007i	−1.02011	+	1.48224i
$246$	−4.54338	−	0.207677i	−0.289675	−	0.0132410i
$247$	−0.810546	+	2.49460i	−0.0515738	+	0.158728i
$248$	10.8072	+	12.3366i	0.686256	+	0.783376i
$249$	−4.77407	−	5.00571i	−0.302544	−	0.317224i
$250$	−1.61722	+	15.7285i	−0.102282	+	0.994755i
$251$			8.20576i			0.517943i	0.965885	+	0.258971i	$0.0833835\pi$
$251$			8.20576i			0.517943i	−0.965885	+	0.258971i	$0.916616\pi$
$252$	10.4777	−	24.4060i	0.660035	−	1.53743i
$253$	−3.36194	+	10.3470i	−0.211363	+	0.650510i
$254$	−17.6917	−	18.4877i	−1.11008	−	1.16002i
$255$	−11.4921	+	1.84205i	−0.719664	+	0.115353i
$256$	7.53183	−	14.1164i	0.470739	−	0.882272i
$257$	17.0642			1.06444			0.532219	−	0.846607i	$-0.321358\pi$
$257$	17.0642			1.06444			0.532219	+	0.846607i	$0.321358\pi$
$258$	−17.3434	+	11.4284i	−1.07975	+	0.711502i
$259$	11.7266	+	8.51990i	0.728658	+	0.529401i
$260$	2.55154	−	1.78280i	0.158239	−	0.110565i
$261$	−8.93432	−	13.6083i	−0.553021	−	0.842333i
$262$	−8.47275	−	17.5739i	−0.523448	−	1.08572i
$263$	10.2980	−	14.1739i	0.634999	−	0.874002i	−0.363337	−	0.931658i	$-0.618363\pi$
$263$	10.2980	−	14.1739i	0.634999	−	0.874002i	0.998336	+	0.0576562i	$0.0183627\pi$
$264$	−0.840246	+	9.34528i	−0.0517136	+	0.575162i
$265$	−6.19809	+	4.74965i	−0.380746	+	0.291769i
$266$	21.2514	−	10.2457i	1.30300	−	0.628206i
$267$	−11.6839	−	6.30612i	−0.715046	−	0.385928i
$268$	12.1206	−	8.01620i	0.740384	−	0.489667i
$269$	6.92477	+	21.3123i	0.422211	+	1.29943i	0.905640	+	0.424048i	$0.139391\pi$
$269$	6.92477	+	21.3123i	0.422211	+	1.29943i	−0.483429	+	0.875384i	$0.660609\pi$
$270$	10.5330	−	12.6118i	0.641017	−	0.767527i
$271$	8.85040	+	2.87567i	0.537623	+	0.174684i	0.565228	−	0.824934i	$-0.308788\pi$
$271$	8.85040	+	2.87567i	0.537623	+	0.174684i	−0.0276049	+	0.999619i	$0.508788\pi$
$272$	−9.06632	−	7.89267i	−0.549727	−	0.478564i
$273$	5.24955	+	0.959388i	0.317717	+	0.0580648i
$274$	−2.68357	+	4.99222i	−0.162120	+	0.301591i
$275$	5.22602	−	8.02479i	0.315141	−	0.483913i
$276$	19.1823	+	4.38538i	1.15464	+	0.263969i
$277$	13.6916	−	9.94752i	0.822647	−	0.597688i	−0.0948221	−	0.995494i	$-0.530228\pi$
$277$	13.6916	−	9.94752i	0.822647	−	0.597688i	0.917470	+	0.397806i	$0.130228\pi$
$278$	−14.8633	−	15.5320i	−0.891442	−	0.931547i
$279$	−6.15285	+	16.2712i	−0.368361	+	0.974134i
$280$	−27.4523	−	5.49430i	−1.64059	−	0.328347i
$281$	−24.6690	+	8.01544i	−1.47163	+	0.478161i	−0.931600	−	0.363485i	$-0.881587\pi$
$281$	−24.6690	+	8.01544i	−1.47163	+	0.478161i	−0.540029	+	0.841646i	$0.681587\pi$
$282$	7.98930	+	29.0389i	0.475756	+	1.72924i
$283$	−0.0310107	+	0.0100760i	−0.00184340	+	0.000598956i	−0.309939	−	0.950757i	$-0.600308\pi$
$283$	−0.0310107	+	0.0100760i	−0.00184340	+	0.000598956i	0.308095	+	0.951356i	$0.400308\pi$
$284$	−1.08283	+	24.5981i	−0.0642540	+	1.45963i
$285$	14.4117	−	2.31002i	0.853674	−	0.136834i
$286$	−1.86807	+	0.253892i	−0.110461	+	0.0150129i
$287$	−4.83117	+	6.64954i	−0.285175	+	0.392510i
$288$	16.9706	+	0.00449164i	1.00000	+	0.000264672i
$289$	6.44723	−	4.68419i	0.379249	−	0.275540i
$290$	−12.0907	+	12.1766i	−0.709987	+	0.715035i
$291$	22.9039	−	3.07358i	1.34265	−	0.180176i
$292$	11.9682	+	9.52692i	0.700384	+	0.557521i
$293$		−	0.802410i		−	0.0468773i	−0.999725	−	0.0234386i	$-0.992539\pi$
$293$		−	0.802410i		−	0.0468773i	0.999725	−	0.0234386i	$-0.00746144\pi$
$294$	−16.9759	−	25.7621i	−0.990057	−	1.50248i
$295$	7.38108	+	20.8861i	0.429743	+	1.21604i
$296$	−2.04886	+	9.03207i	−0.119088	+	0.524979i
$297$	−9.16579	+	3.87732i	−0.531853	+	0.224985i
$298$	−0.766003	−	5.63605i	−0.0443733	−	0.326488i
$299$			3.95358i			0.228641i
$300$	−15.3001	−	8.11840i	−0.883349	−	0.468716i
$301$			37.5356i			2.16351i
$302$	27.8827	−	3.78957i	1.60447	−	0.218065i
$303$	7.35715	−	3.53177i	0.422657	−	0.202895i
$304$	11.3696	+	9.89780i	0.652092	+	0.567678i
$305$	−12.1022	+	0.309135i	−0.692971	+	0.0177010i
$306$	2.86242	−	12.4242i	0.163634	−	0.710244i
$307$		−	0.0926652i		−	0.00528868i	−0.999997	−	0.00264434i	$-0.999158\pi$
$307$		−	0.0926652i		−	0.00528868i	0.999997	−	0.00264434i	$-0.000841721\pi$
$308$	13.2667	+	10.5606i	0.755940	+	0.601745i
$309$	1.73023	+	12.8934i	0.0984291	+	0.733479i
$310$	18.1210	+	2.80432i	1.02920	+	0.159275i
$311$	1.68241	−	1.22234i	0.0954005	−	0.0693125i	−0.539062	−	0.842266i	$-0.681221\pi$
$311$	1.68241	−	1.22234i	0.0954005	−	0.0693125i	0.634463	+	0.772953i	$0.281221\pi$
$312$	0.759040	+	3.32420i	0.0429722	+	0.188196i
$313$	−7.75259	+	10.6705i	−0.438202	+	0.603134i	−0.969811	−	0.243856i	$-0.921587\pi$
$313$	−7.75259	+	10.6705i	−0.438202	+	0.603134i	0.531609	+	0.846990i	$0.321587\pi$
$314$	−0.120801	−	0.888827i	−0.00681722	−	0.0501594i
$315$	−8.55774	−	28.4352i	−0.482174	−	1.60214i
$316$	17.9453	+	0.789963i	1.00950	+	0.0444389i
$317$	−12.7665	+	4.14809i	−0.717038	+	0.232980i	−0.644738	−	0.764403i	$-0.723034\pi$
$317$	−12.7665	+	4.14809i	−0.717038	+	0.232980i	−0.0722995	+	0.997383i	$0.523034\pi$
$318$	−2.26909	−	8.24754i	−0.127244	−	0.462499i
$319$	9.88439	−	3.21163i	0.553419	−	0.179817i
$320$	−3.68915	−	17.5040i	−0.206230	−	0.978504i
$321$	−17.7811	+	8.53576i	−0.992447	+	0.476420i
$322$	25.6919	−	24.5858i	1.43175	−	1.37011i
$323$	9.16216	−	6.65670i	0.509796	−	0.370388i
$324$	8.46490	+	15.8854i	0.470272	+	0.882521i
$325$	0.905023	−	3.36033i	0.0502016	−	0.186398i
$326$	−0.608505	−	0.327102i	−0.0337020	−	0.0181165i
$327$	4.05858	−	22.2076i	0.224440	−	1.22808i
$328$	−5.12160	−	1.16180i	−0.282793	−	0.0641496i
$329$	51.7646	+	16.8193i	2.85388	+	0.927280i
$330$	5.99399	+	8.60944i	0.329958	+	0.473934i
$331$	5.94528	+	18.2977i	0.326782	+	1.00573i	0.970630	+	0.240578i	$0.0773371\pi$
$331$	5.94528	+	18.2977i	0.326782	+	1.00573i	−0.643847	+	0.765154i	$0.722663\pi$
$332$	−4.40615	−	6.66216i	−0.241819	−	0.365633i
$333$	−9.47581	+	2.58985i	−0.519271	+	0.141923i
$334$	8.72058	+	18.0879i	0.477169	+	0.989728i
$335$	4.62436	−	15.5748i	0.252656	−	0.850945i
$336$	16.8817	−	25.6044i	0.920975	−	1.39684i
$337$	−5.53279	+	7.61524i	−0.301390	+	0.414828i	−0.932672	−	0.360725i	$-0.882529\pi$
$337$	−5.53279	+	7.61524i	−0.301390	+	0.414828i	0.631282	+	0.775554i	$0.282529\pi$
$338$	15.9435	−	7.68668i	0.867209	−	0.418100i
$339$	−7.83111	−	1.43118i	−0.425327	−	0.0777313i
$340$	−13.4370	−	0.247998i	−0.728726	−	0.0134496i
$341$	−8.98491	−	6.52792i	−0.486560	−	0.353506i
$342$	−3.58961	+	15.5806i	−0.194104	+	0.842500i
$343$	−24.7692			−1.33741
$344$	−22.0408	+	9.45542i	−1.18836	+	0.509802i
$345$	19.5834	−	10.0241i	1.05433	−	0.539677i
$346$	6.70768	−	6.41890i	0.360607	−	0.345082i
$347$	9.28059	−	28.5627i	0.498208	−	1.53333i	−0.313689	−	0.949526i	$-0.601565\pi$
$347$	9.28059	−	28.5627i	0.498208	−	1.53333i	0.811897	−	0.583801i	$-0.198435\pi$
$348$	−7.38175	−	17.2874i	−0.395703	−	0.926702i
$349$		−	16.0292i		−	0.858023i	−0.903299	−	0.429012i	$-0.858862\pi$
$349$		−	16.0292i		−	0.858023i	0.903299	−	0.429012i	$-0.141138\pi$
$350$	−27.4647	+	15.0154i	−1.46805	+	0.802607i
$351$	−2.73240	+	2.36933i	−0.145845	+	0.126466i
$352$	−2.85920	+	10.4505i	−0.152396	+	0.557011i
$353$	−3.37063	+	10.3737i	−0.179401	+	0.552139i	−0.999807	−	0.0196422i	$-0.993747\pi$
$353$	−3.37063	+	10.3737i	−0.179401	+	0.552139i	0.820406	+	0.571781i	$0.193747\pi$
$354$	−24.2410	−	1.10805i	−1.28839	−	0.0588921i
$355$	16.7441	+	21.8503i	0.888683	+	1.15970i
$356$	−11.9948	−	9.54813i	−0.635724	−	0.506050i
$357$	−15.9021	−	16.6737i	−0.841626	−	0.882464i
$358$	4.96197	−	27.4120i	0.262248	−	1.44877i
$359$	−22.0385	−	16.0119i	−1.16315	−	0.845076i	−0.172975	−	0.984926i	$-0.555338\pi$
$359$	−22.0385	−	16.0119i	−1.16315	−	0.845076i	−0.990173	+	0.139850i	$0.955338\pi$
$360$	14.5413	−	12.1881i	0.766396	−	0.642368i
$361$	3.88153	−	2.82010i	0.204291	−	0.148426i
$362$	−5.77290	−	11.9739i	−0.303417	−	0.629337i
$363$	1.68897	+	12.5860i	0.0886481	+	0.660593i
$364$	5.77105	+	2.16007i	0.302485	+	0.113218i
$365$	17.0970	−	0.436721i	0.894899	−	0.0228590i
$366$	4.66971	−	12.4123i	0.244090	−	0.648801i
$367$	−10.2871	−	31.6605i	−0.536983	−	1.65266i	−0.739324	−	0.673350i	$-0.764855\pi$
$367$	−10.2871	−	31.6605i	−0.536983	−	1.65266i	0.202341	−	0.979315i	$-0.435145\pi$
$368$	20.9087	+	8.89292i	1.08994	+	0.463576i
$369$	−1.46856	−	5.37321i	−0.0764502	−	0.279718i
$370$	4.73359	+	9.20941i	0.246088	+	0.478775i
$371$	−14.7020	−	4.77697i	−0.763290	−	0.248008i
$372$	−10.3086	+	17.2399i	−0.534478	+	0.893846i
$373$	22.5138	−	16.3572i	1.16572	−	0.846945i	0.175229	−	0.984528i	$-0.443933\pi$
$373$	22.5138	−	16.3572i	1.16572	−	0.846945i	0.990490	+	0.137583i	$0.0439334\pi$
$374$	7.16957	+	3.85401i	0.370729	+	0.199286i
$375$	−18.9394	+	4.03704i	−0.978028	+	0.208472i
$376$	3.16351	+	34.6330i	0.163146	+	1.78606i
$377$	3.05551	−	2.21996i	0.157367	−	0.114334i
$378$	32.3886	+	3.02221i	1.66589	+	0.155446i
$379$	−5.94690	+	18.3027i	−0.305472	+	0.940146i	0.674029	+	0.738705i	$0.264562\pi$
$379$	−5.94690	+	18.3027i	−0.305472	+	0.940146i	−0.979501	+	0.201441i	$0.935438\pi$
$380$	16.8507	+	0.311001i	0.864423	+	0.0159540i
$381$	14.8852	−	27.5793i	0.762594	−	1.41293i
$382$	−10.8651	+	20.2121i	−0.555904	+	1.03414i
$383$	18.9914	−	6.17068i	0.970415	−	0.315307i	0.219432	−	0.975628i	$-0.429580\pi$
$383$	18.9914	−	6.17068i	0.970415	−	0.315307i	0.750984	+	0.660321i	$0.229580\pi$
$384$	19.2875	+	3.46303i	0.984261	+	0.176722i
$385$	18.9520	−	0.484104i	0.965885	−	0.0246722i
$386$	−35.4491	+	4.81792i	−1.80431	+	0.245226i
$387$	−19.8489	−	15.9098i	−1.00898	−	0.808741i
$388$	26.6583	+	1.17352i	1.35337	+	0.0595764i
$389$	−1.64980	+	1.19865i	−0.0836480	+	0.0607738i	−0.628823	−	0.777548i	$-0.716463\pi$
$389$	−1.64980	+	1.19865i	−0.0836480	+	0.0607738i	0.545175	+	0.838322i	$0.316463\pi$
$390$	3.03840	+	2.30243i	0.153856	+	0.116588i
$391$	10.0335	−	13.8100i	0.507418	−	0.698401i
$392$	−14.0452	−	32.7398i	−0.709391	−	1.65361i
$393$	17.2913	−	16.4911i	0.872229	−	0.831865i
$394$	0.594406	−	3.28374i	0.0299457	−	0.165432i
$395$	15.9406	−	12.2154i	0.802060	−	0.614625i
$396$	−11.2077	+	2.53927i	−0.563208	+	0.127603i
$397$	2.18128	−	6.71328i	0.109475	−	0.336930i	−0.881280	−	0.472595i	$-0.843317\pi$
$397$	2.18128	−	6.71328i	0.109475	−	0.336930i	0.990755	+	0.135665i	$0.0433172\pi$
$398$	0.381486	−	0.0518482i	0.0191222	−	0.00259892i
$399$	19.9420	+	20.9096i	0.998347	+	1.04679i
$400$	−15.7355	−	12.3448i	−0.786777	−	0.617238i
$401$			11.5875i			0.578652i	0.957231	+	0.289326i	$0.0934311\pi$
$401$			11.5875i			0.578652i	−0.957231	+	0.289326i	$0.906569\pi$
$402$	13.9058	+	11.1077i	0.693559	+	0.554001i
$403$	−3.83836	−	1.24716i	−0.191202	−	0.0621253i
$404$	9.08162	−	2.51505i	0.451828	−	0.125128i
$405$	18.6639	+	7.52717i	0.927417	+	0.374028i
$406$	−33.4272	−	6.05082i	−1.65896	−	0.300297i
$407$		−	6.27153i		−	0.310868i
$408$	5.78492	−	13.5379i	0.286396	−	0.670224i
$409$	−14.2531	−	10.3554i	−0.704768	−	0.512044i	0.176714	−	0.984262i	$-0.443453\pi$
$409$	−14.2531	−	10.3554i	−0.704768	−	0.512044i	−0.881482	+	0.472218i	$0.843453\pi$
$410$	−5.22216	+	2.68416i	−0.257904	+	0.132561i
$411$	−6.82849	−	1.24795i	−0.336824	−	0.0615568i
$412$	−0.660615	+	15.0069i	−0.0325462	+	0.739338i
$413$	−25.7765	+	35.4783i	−1.26838	+	1.74577i
$414$	2.11130	+	24.0069i	0.103765	+	1.17987i
$415$	−8.56080	−	2.54180i	−0.420233	−	0.124772i
$416$	0.185372	+	3.93288i	0.00908859	+	0.192825i
$417$	12.5055	−	23.1701i	0.612397	−	1.13465i
$418$	−8.99099	−	4.83311i	−0.439764	−	0.236395i
$419$	−24.7087	+	8.02836i	−1.20710	+	0.392211i	−0.842369	−	0.538902i	$-0.818839\pi$
$419$	−24.7087	+	8.02836i	−1.20710	+	0.392211i	−0.364732	+	0.931112i	$0.618839\pi$
$420$	−3.93261	−	34.0626i	−0.191892	−	1.66208i
$421$	−34.5125	−	11.2138i	−1.68203	−	0.546526i	−0.696730	−	0.717334i	$-0.745362\pi$
$421$	−34.5125	−	11.2138i	−1.68203	−	0.546526i	−0.985304	+	0.170808i	$0.945362\pi$
$422$	24.9548	+	26.0774i	1.21478	+	1.26943i
$423$	−30.8351	+	20.2443i	−1.49925	+	0.984310i
$424$	−0.898490	−	9.83634i	−0.0436346	−	0.477695i
$425$	−11.6892	+	9.44094i	−0.567011	+	0.457953i
$426$	−29.0753	+	7.99931i	−1.40870	+	0.387568i
$427$	−14.0870	−	19.3891i	−0.681716	−	0.938302i
$428$	−21.9490	+	6.07850i	−1.06094	+	0.293815i
$429$	−0.999230	−	2.08153i	−0.0482433	−	0.100497i
$430$	−12.0887	+	23.9346i	−0.582969	+	1.15423i
$431$	−7.95366	−	24.4788i	−0.383114	−	1.17910i	−0.937839	−	0.347071i	$-0.887176\pi$
$431$	−7.95366	−	24.4788i	−0.383114	−	1.17910i	0.554725	−	0.832034i	$-0.312824\pi$
$432$	6.38423	+	19.7798i	0.307162	+	0.951657i
$433$	−28.7391	+	9.33790i	−1.38111	+	0.448751i	−0.903035	−	0.429566i	$-0.858666\pi$
$433$	−28.7391	+	9.33790i	−1.38111	+	0.448751i	−0.478078	+	0.878317i	$0.658666\pi$
$434$	15.7647	+	32.6987i	0.756732	+	1.56959i
$435$	−18.7432	−	9.50637i	−0.898670	−	0.455796i
$436$	9.13793	−	24.4138i	0.437627	−	1.16921i
$437$	−12.5825	+	17.3184i	−0.601905	+	0.828451i
$438$	−6.59699	+	17.5351i	−0.315216	+	0.837858i
$439$	2.17114	+	2.98832i	0.103623	+	0.142625i	0.857679	−	0.514185i	$-0.171905\pi$
$439$	2.17114	+	2.98832i	0.103623	+	0.142625i	−0.754056	+	0.656810i	$0.771905\pi$
$440$	5.05839	+	11.0067i	0.241149	+	0.524722i
$441$	23.6327	−	29.4839i	1.12537	−	1.40400i
$442$	2.91068	+	0.526877i	0.138447	+	0.0250610i
$443$	3.25819			0.154801			0.0774007	−	0.997000i	$-0.475338\pi$
$443$	3.25819			0.154801			0.0774007	+	0.997000i	$0.475338\pi$
$444$	−11.2977	+	1.01278i	−0.536166	+	0.0480644i
$445$	−17.1351	+	0.437693i	−0.812281	+	0.0207486i
$446$	16.7812	+	17.5362i	0.794612	+	0.830361i
$447$	6.28007	−	3.01472i	0.297037	−	0.142591i
$448$	24.4046	−	25.6617i	1.15301	−	1.21240i
$449$		−	1.94261i		−	0.0916776i	−0.998949	−	0.0458388i	$-0.985404\pi$
$449$		−	1.94261i		−	0.0916776i	0.998949	−	0.0458388i	$-0.0145961\pi$
$450$	3.70098	−	20.8879i	0.174466	−	0.984663i
$451$	3.55624			0.167457
$452$	−8.60907	−	3.22232i	−0.404936	−	0.151565i
$453$	14.9144	+	31.0688i	0.700741	+	1.45974i
$454$	−27.3486	−	28.5790i	−1.28353	−	1.34128i
$455$	6.49570	−	2.29556i	0.304523	−	0.107617i
$456$	−7.25458	+	16.9771i	−0.339727	+	0.795027i
$457$		−	5.47722i		−	0.256213i	−0.991760	−	0.128107i	$-0.959110\pi$
$457$		−	5.47722i		−	0.256213i	0.991760	−	0.128107i	$-0.0408900\pi$
$458$	−0.467056	+	2.58021i	−0.0218241	+	0.120565i
$459$	15.5573	−	1.34178i	0.726154	−	0.0626287i
$460$	24.3006	−	7.40284i	1.13302	−	0.345159i
$461$	−7.74713	+	5.62862i	−0.360820	+	0.262151i	−0.753394	−	0.657569i	$-0.771585\pi$
$461$	−7.74713	+	5.62862i	−0.360820	+	0.262151i	0.392574	+	0.919720i	$0.371585\pi$
$462$	−7.31276	+	19.4376i	−0.340220	+	0.904319i
$463$	−11.9583	−	8.68823i	−0.555750	−	0.403776i	0.274151	−	0.961687i	$-0.411603\pi$
$463$	−11.9583	−	8.68823i	−0.555750	−	0.403776i	−0.829901	+	0.557911i	$0.811603\pi$
$464$	−4.86747	−	21.1526i	−0.225967	−	0.981986i
$465$	3.55434	+	22.1747i	0.164828	+	1.02833i
$466$	4.20175	−	2.02575i	0.194642	−	0.0938413i
$467$	−4.29349	−	13.2140i	−0.198679	−	0.611471i	−0.999914	−	0.0131210i	$-0.995823\pi$
$467$	−4.29349	−	13.2140i	−0.198679	−	0.611471i	0.801235	−	0.598350i	$-0.204177\pi$
$468$	−3.58837	+	2.13619i	−0.165872	+	0.0987452i
$469$	30.5892	−	9.93904i	1.41248	−	0.458942i
$470$	27.5910	+	27.3962i	1.27268	+	1.26369i
$471$	0.990390	−	0.475433i	0.0456348	−	0.0219068i
$472$	−27.3260	−	6.19872i	−1.25778	−	0.285319i
$473$	13.1389	−	9.54595i	0.604126	−	0.438923i
$474$	5.83579	+	21.2115i	0.268047	+	0.974277i
$475$	14.6589	−	11.8394i	0.672596	−	0.543229i
$476$	−14.6766	−	22.1912i	−0.672699	−	1.01713i
$477$	8.75767	−	5.74971i	0.400986	−	0.263261i
$478$	−8.36302	−	8.73926i	−0.382516	−	0.399725i
$479$	3.20189	−	9.85440i	0.146298	−	0.450259i	−0.850878	−	0.525364i	$-0.823929\pi$
$479$	3.20189	−	9.85440i	0.146298	−	0.450259i	0.997176	+	0.0751049i	$0.0239292\pi$
$480$	19.0109	−	10.8898i	0.867723	−	0.497049i
$481$	−0.704269	−	2.16752i	−0.0321119	−	0.0988303i
$482$	15.6107	−	29.0404i	0.711047	−	1.32275i
$483$	38.3263	+	20.6857i	1.74391	+	0.941230i
$484$	−0.644865	+	14.6491i	−0.0293120	+	0.665869i
$485$	23.6804	−	18.1465i	1.07527	−	0.823989i
$486$	−15.3264	+	15.8462i	−0.695218	+	0.718799i
$487$	15.2716	+	11.0955i	0.692022	+	0.502783i	0.877324	−	0.479898i	$-0.159326\pi$
$487$	15.2716	+	11.0955i	0.692022	+	0.502783i	−0.185302	+	0.982682i	$0.559326\pi$
$488$	7.83663	−	13.1561i	0.354748	−	0.595547i
$489$	0.152114	−	0.832330i	0.00687881	−	0.0376393i
$490$	−35.5529	−	17.9568i	−1.60611	−	0.811203i
$491$	−19.4733	+	26.8027i	−0.878818	+	1.20959i	0.0979284	+	0.995193i	$0.468778\pi$
$491$	−19.4733	+	26.8027i	−0.878818	+	1.20959i	−0.976747	+	0.214396i	$0.931222\pi$
$492$	−0.574292	−	6.40632i	−0.0258911	−	0.288819i
$493$	−16.3069			−0.734425
$494$	−3.65014	−	0.660729i	−0.164227	−	0.0297276i
$495$	−7.77701	+	10.2271i	−0.349551	+	0.459674i
$496$	−15.2294	+	17.4940i	−0.683820	+	0.785504i
$497$	−16.8404	+	51.8294i	−0.755395	+	2.32487i
$498$	6.10541	−	7.64341i	0.273590	−	0.342510i
$499$	−41.8319			−1.87265			−0.936326	−	0.351133i	$-0.885796\pi$
$499$	−41.8319			−1.87265			−0.936326	+	0.351133i	$0.885796\pi$
$500$	−22.3488	+	0.729321i	−0.999468	+	0.0326162i
$501$	−17.7970	+	16.9735i	−0.795113	+	0.758318i
$502$	−11.4990	+	1.56284i	−0.513224	+	0.0697529i
$503$	−6.43150	−	2.08972i	−0.286766	−	0.0931761i	0.162102	−	0.986774i	$-0.448173\pi$
$503$	−6.43150	−	2.08972i	−0.286766	−	0.0931761i	−0.448868	+	0.893598i	$0.648173\pi$
$504$	36.1964	+	10.0345i	1.61232	+	0.446971i
$505$	5.97308	−	8.67894i	0.265798	−	0.386208i
$506$	−15.1398	−	2.74054i	−0.673048	−	0.121832i
$507$	14.9611	+	15.6870i	0.664446	+	0.696686i
$508$	22.5378	−	28.3131i	0.999955	−	1.25619i
$509$	−18.9357	−	13.7576i	−0.839310	−	0.609794i	0.0828682	−	0.996561i	$-0.473592\pi$
$509$	−18.9357	−	13.7576i	−0.839310	−	0.609794i	−0.922178	+	0.386766i	$0.873592\pi$
$510$	−4.77006	−	15.7534i	−0.211222	−	0.697573i
$511$	19.9009	+	27.3913i	0.880365	+	1.21172i
$512$	21.2162	+	7.86602i	0.937631	+	0.347632i
$513$	−19.5097	+	1.68265i	−0.861373	+	0.0742910i
$514$	3.25000	+	23.9126i	0.143351	+	1.05474i
$515$	10.2153	+	13.3305i	0.450140	+	0.587413i
$516$	−19.3181	−	22.1272i	−0.850434	−	0.974096i
$517$	−7.27724	−	22.3970i	−0.320052	−	0.985020i
$518$	−9.70578	+	18.0556i	−0.426448	+	0.793316i
$519$	10.0063	+	5.40065i	0.439227	+	0.237062i
$520$	2.98425	+	3.23600i	0.130868	+	0.141908i
$521$	27.0061	+	8.77482i	1.18316	+	0.384432i	0.833540	−	0.552460i	$-0.186311\pi$
$521$	27.0061	+	8.77482i	1.18316	+	0.384432i	0.349620	+	0.936892i	$0.386311\pi$
$522$	17.3681	−	15.1117i	0.760183	−	0.661422i
$523$	−14.0914	−	19.3951i	−0.616173	−	0.848090i	0.380894	−	0.924619i	$-0.375616\pi$
$523$	−14.0914	−	19.3951i	−0.616173	−	0.848090i	−0.997067	+	0.0765287i	$0.975616\pi$
$524$	23.0131	−	15.2202i	1.00533	−	0.664897i
$525$	−27.8401	−	26.3550i	−1.21504	−	1.15023i
$526$	21.8237	+	11.7313i	0.951557	+	0.511510i
$527$	10.2424	+	14.0975i	0.446167	+	0.614096i
$528$	−13.2559	+	0.602406i	−0.576887	+	0.0262163i
$529$	−2.86335	+	8.81249i	−0.124494	+	0.383152i
$530$	−7.83629	−	7.78098i	−0.340387	−	0.337984i
$531$	−7.83543	−	28.6685i	−0.340029	−	1.24411i
$532$	18.4051	+	27.8288i	0.797963	+	1.20653i
$533$	1.22908	−	0.399353i	0.0532374	−	0.0172979i
$534$	6.61168	−	17.5741i	0.286115	−	0.760506i
$535$	−14.4361	+	20.9757i	−0.624125	+	0.906860i
$536$	13.5418	+	15.4582i	0.584916	+	0.667694i
$537$	33.8151	−	4.53782i	1.45923	−	0.195821i
$538$	−28.5467	+	13.7630i	−1.23073	+	0.593363i
$539$	14.1797	+	19.5167i	0.610763	+	0.840643i
$540$	19.6793	+	12.3582i	0.846863	+	0.531812i
$541$	−7.91175	+	10.8896i	−0.340153	+	0.468180i	−0.944486	−	0.328552i	$-0.893439\pi$
$541$	−7.91175	+	10.8896i	−0.340153	+	0.468180i	0.604333	+	0.796732i	$0.293439\pi$
$542$	−2.34415	+	12.9500i	−0.100690	+	0.556251i
$543$	11.7814	−	11.2362i	0.505587	−	0.482191i
$544$	9.33350	−	14.2081i	0.400171	−	0.609168i
$545$	−9.71109	−	27.4793i	−0.415977	−	1.17708i
$546$	−0.344609	+	7.53907i	−0.0147479	+	0.322642i
$547$	−36.0486	−	11.7129i	−1.54133	−	0.500807i	−0.589585	−	0.807707i	$-0.700709\pi$
$547$	−36.0486	−	11.7129i	−1.54133	−	0.500807i	−0.951742	+	0.306899i	$0.900709\pi$
$548$	−7.50684	−	2.80977i	−0.320677	−	0.120027i
$549$	16.2239	+	0.768998i	0.692420	+	0.0328200i
$550$	12.2407	+	5.79501i	0.521946	+	0.247100i
$551$	20.4496			0.871184
$552$	−2.49198	+	27.7160i	−0.106066	+	1.17967i
$553$	37.8115	+	12.2857i	1.60791	+	0.522441i
$554$	16.5474	+	17.2919i	0.703032	+	0.734661i
$555$	−8.95079	+	8.98408i	−0.379940	+	0.381353i
$556$	18.9346	−	23.7866i	0.803008	−	1.00878i
$557$			0.0131183i			0.000555842i	1.00000		0.000277921i	$8.84650e-5\pi$
$557$			0.0131183i			0.000555842i	−1.00000		0.000277921i	$0.999912\pi$
$558$	−23.9732	−	5.52321i	−1.01487	−	0.233816i
$559$	3.46898	−	4.77464i	0.146722	−	0.201946i
$560$	2.47086	−	39.5162i	0.104413	−	1.66986i
$561$	−1.79224	+	9.80673i	−0.0756685	+	0.414040i
$562$	−15.9307	−	33.0428i	−0.671994	−	1.39383i
$563$	−7.42985	−	5.39810i	−0.313131	−	0.227503i	0.420108	−	0.907474i	$-0.361992\pi$
$563$	−7.42985	−	5.39810i	−0.313131	−	0.227503i	−0.733239	+	0.679971i	$0.761992\pi$
$564$	−39.1715	+	16.7263i	−1.64942	+	0.704304i
$565$	−9.69007	+	3.42444i	−0.407664	+	0.144067i
$566$	−0.0200260	−	0.0415372i	−0.000841755	−	0.00174594i
$567$	8.67220	+	38.8847i	0.364198	+	1.63301i
$568$	−34.6763	+	3.16748i	−1.45499	+	0.132904i
$569$	−3.18321	+	1.03429i	−0.133447	+	0.0433596i	−0.374979	−	0.927033i	$-0.622350\pi$
$569$	−3.18321	+	1.03429i	−0.133447	+	0.0433596i	0.241532	+	0.970393i	$0.422350\pi$
$570$	5.98189	+	19.7556i	0.250554	+	0.827469i
$571$	4.66987	−	14.3724i	0.195428	−	0.601465i	−0.804544	−	0.593894i	$-0.797590\pi$
$571$	4.66987	−	14.3724i	0.195428	−	0.601465i	0.999971	−	0.00757126i	$-0.00241003\pi$
$572$	−0.711572	−	2.56943i	−0.0297523	−	0.107433i
$573$	−27.6467	−	5.05261i	−1.15496	−	0.211076i
$574$	−10.2383	−	5.50362i	−0.427340	−	0.229717i
$575$	15.4992	−	23.7997i	0.646360	−	0.992516i
$576$	3.22586	+	23.7822i	0.134411	+	0.990926i
$577$	1.98009	+	2.72536i	0.0824321	+	0.113458i	0.848242	−	0.529609i	$-0.177661\pi$
$577$	1.98009	+	2.72536i	0.0824321	+	0.113458i	−0.765810	+	0.643067i	$0.777661\pi$
$578$	7.79201	+	8.14257i	0.324105	+	0.338686i
$579$	−18.9617	−	39.4997i	−0.788020	−	1.64155i
$580$	−19.3662	−	14.6239i	−0.804137	−	0.607224i
$581$	−5.46305	−	16.8135i	−0.226645	−	0.697543i
$582$	8.66928	+	31.5105i	0.359353	+	1.30615i
$583$	2.06686	+	6.36113i	0.0856004	+	0.263451i
$584$	−11.0710	+	18.5858i	−0.458119	+	0.769086i
$585$	−1.53937	+	4.40794i	−0.0636450	+	0.182246i
$586$	1.12444	−	0.152824i	0.0464502	−	0.00631311i
$587$	−2.99670	−	2.17723i	−0.123687	−	0.0898638i	0.524222	−	0.851582i	$-0.324356\pi$
$587$	−2.99670	−	2.17723i	−0.123687	−	0.0898638i	−0.647909	+	0.761718i	$0.724356\pi$
$588$	32.8681	−	28.6955i	1.35546	−	1.18338i
$589$	−12.8445	−	17.6789i	−0.529248	−	0.728447i
$590$	−27.8626	+	14.3212i	−1.14708	+	0.589595i
$591$	4.05079	−	0.543595i	0.166627	−	0.0223605i
$592$	−13.0471	−	1.15092i	−0.536234	−	0.0473024i
$593$	−39.5238			−1.62305			−0.811525	−	0.584318i	$-0.801362\pi$
$593$	−39.5238			−1.62305			−0.811525	+	0.584318i	$0.801362\pi$
$594$	−7.17909	−	12.1058i	−0.294562	−	0.496708i
$595$	−28.5154	−	8.46656i	−1.16902	−	0.347095i
$596$	7.75208	−	2.14685i	0.317538	−	0.0879382i
$597$	0.204056	+	0.425077i	0.00835147	+	0.0173972i
$598$	−5.54027	+	0.752985i	−0.226559	+	0.0307918i
$599$	17.5406			0.716689			0.358345	−	0.933589i	$-0.383341\pi$
$599$	17.5406			0.716689			0.358345	+	0.933589i	$0.383341\pi$
$600$	8.46257	−	22.9866i	0.345483	−	0.938425i
$601$	−44.8658			−1.83011			−0.915057	−	0.403326i	$-0.867854\pi$
$601$	−44.8658			−1.83011			−0.915057	+	0.403326i	$0.867854\pi$
$602$	−52.5997	+	7.14889i	−2.14380	+	0.291367i
$603$	−7.70974	+	20.3884i	−0.313965	+	0.830282i
$604$	10.6209	+	38.3511i	0.432157	+	1.56048i
$605$	9.97174	+	13.0127i	0.405409	+	0.529042i
$606$	6.35039	+	9.63714i	0.257967	+	0.391482i
$607$	8.47094			0.343825			0.171912	−	0.985112i	$-0.445005\pi$
$607$	8.47094			0.343825			0.171912	+	0.985112i	$0.445005\pi$
$608$	−11.7047	+	17.8177i	−0.474687	+	0.722603i
$609$	−5.53358	−	41.2355i	−0.224232	−	1.67095i
$610$	−2.73815	−	16.9003i	−0.110864	−	0.684274i
$611$	−5.03021	−	6.92348i	−0.203500	−	0.280094i
$612$	17.9556	+	1.64493i	0.725811	+	0.0664922i
$613$	−0.137936	−	0.100216i	−0.00557118	−	0.00404770i	0.584996	−	0.811036i	$-0.301096\pi$
$613$	−0.137936	−	0.100216i	−0.00557118	−	0.00404770i	−0.590567	+	0.806988i	$0.701096\pi$
$614$	0.129855	−	0.0176487i	0.00524050	−	0.000712243i
$615$	−5.09438	−	5.07551i	−0.205425	−	0.204664i
$616$	−12.2721	+	20.6024i	−0.494459	+	0.830092i
$617$	9.05639	+	27.8727i	0.364597	+	1.12211i	0.950233	+	0.311539i	$0.100845\pi$
$617$	9.05639	+	27.8727i	0.364597	+	1.12211i	−0.585637	+	0.810574i	$0.699155\pi$
$618$	−17.7384	+	4.88025i	−0.713542	+	0.196312i
$619$	12.2866	+	37.8144i	0.493842	+	1.51989i	0.818754	+	0.574144i	$0.194665\pi$
$619$	12.2866	+	37.8144i	0.493842	+	1.51989i	−0.324913	+	0.945744i	$0.605335\pi$
$620$	−0.478526	+	25.9276i	−0.0192181	+	1.04128i
$621$	−27.1836	+	11.4993i	−1.09084	+	0.461449i
$622$	2.03333	+	2.12480i	0.0815290	+	0.0851969i
$623$	−19.9452	−	27.4523i	−0.799089	−	1.09985i
$624$	−4.51374	+	1.69678i	−0.180694	+	0.0679256i
$625$	−18.6215	+	16.6805i	−0.744860	+	0.667221i
$626$	−16.4295	−	8.83167i	−0.656653	−	0.352984i
$627$	2.24756	−	12.2981i	0.0897589	−	0.491140i
$628$	1.22253	−	0.338566i	0.0487844	−	0.0135102i
$629$	−3.04077	+	9.35853i	−0.121243	+	0.373149i
$630$	38.2172	−	17.4079i	1.52261	−	0.693547i
$631$	−20.0802	+	6.52446i	−0.799381	+	0.259734i	−0.680094	−	0.733125i	$-0.738061\pi$
$631$	−20.0802	+	6.52446i	−0.799381	+	0.259734i	−0.119287	+	0.992860i	$0.538061\pi$
$632$	2.31079	+	25.2977i	0.0919184	+	1.00629i
$633$	−20.9961	+	38.9015i	−0.834520	+	1.54619i
$634$	−8.24430	−	17.1000i	−0.327423	−	0.679130i
$635$	−1.03315	−	40.4464i	−0.0409993	−	1.60507i
$636$	11.1254	−	4.75055i	0.441149	−	0.188371i
$637$	7.09233	+	5.15288i	0.281008	+	0.204164i
$638$	6.38310	+	13.2396i	0.252709	+	0.524161i
$639$	−20.2696	−	30.8737i	−0.801854	−	1.22134i
$640$	23.8263	−	8.50347i	0.941816	−	0.336129i
$641$	14.2570	−	19.6231i	0.563120	−	0.775068i	−0.428599	−	0.903495i	$-0.640993\pi$
$641$	14.2570	−	19.6231i	0.563120	−	0.775068i	0.991719	+	0.128427i	$0.0409928\pi$
$642$	−15.3480	−	23.2916i	−0.605736	−	0.919245i
$643$			4.08124i			0.160948i	0.996757	+	0.0804742i	$0.0256435\pi$
$643$			4.08124i			0.160948i	−0.996757	+	0.0804742i	$0.974357\pi$
$644$	39.3460	+	31.3203i	1.55045	+	1.23419i
$645$	−32.4458	−	5.07718i	−1.27755	−	0.199914i
$646$	11.0732	+	11.5714i	0.435670	+	0.455270i
$647$	−23.4294	−	7.61266i	−0.921103	−	0.299284i	−0.190184	−	0.981749i	$-0.560908\pi$
$647$	−23.4294	−	7.61266i	−0.921103	−	0.299284i	−0.730919	+	0.682464i	$0.760908\pi$
$648$	−20.6485	+	14.8876i	−0.811149	+	0.584840i
$649$	18.9742			0.744801
$650$	4.88130	+	0.628239i	0.191460	+	0.0246416i
$651$	−32.1728	+	30.6840i	−1.26095	+	1.20260i
$652$	0.342485	−	0.915015i	0.0134127	−	0.0358348i
$653$	−6.03784	−	1.96181i	−0.236279	−	0.0767717i	0.188484	−	0.982076i	$-0.439643\pi$
$653$	−6.03784	−	1.96181i	−0.236279	−	0.0767717i	−0.424763	+	0.905305i	$0.639643\pi$
$654$	31.8932	+	1.45783i	1.24712	+	0.0570056i
$655$	8.78016	−	29.5716i	0.343069	−	1.15546i
$656$	0.652623	−	7.39832i	0.0254806	−	0.288856i
$657$	−22.9198	−	1.08638i	−0.894187	−	0.0423836i
$658$	−13.7105	+	75.7427i	−0.534493	+	2.95276i
$659$	6.75954	−	9.30371i	0.263314	−	0.362421i	−0.656804	−	0.754061i	$-0.728092\pi$
$659$	6.75954	−	9.30371i	0.263314	−	0.362421i	0.920118	+	0.391640i	$0.128092\pi$
$660$	−10.9231	+	10.0393i	−0.425180	+	0.390778i
$661$	18.0318	+	24.8187i	0.701357	+	0.965336i	0.999940	+	0.0109518i	$0.00348613\pi$
$661$	18.0318	+	24.8187i	0.701357	+	0.965336i	−0.298583	+	0.954384i	$0.596514\pi$
$662$	−24.5088	+	11.8162i	−0.952562	+	0.459250i
$663$	0.481838	+	3.59059i	0.0187130	+	0.139447i
$664$	8.49671	−	7.44332i	0.329736	−	0.288857i
$665$	35.7597	+	10.6175i	1.38670	+	0.411728i
$666$	−5.43396	−	12.7855i	−0.210562	−	0.495427i
$667$	29.3148	−	9.52496i	1.13507	−	0.368808i
$668$	−23.6863	+	15.6654i	−0.916450	+	0.606112i
$669$	−14.1191	+	26.1598i	−0.545877	+	1.01140i
$670$	22.7062	+	3.51392i	0.877219	+	0.135755i
$671$	−3.20434	+	9.86195i	−0.123702	+	0.380716i
$672$	39.0955	+	18.7804i	1.50814	+	0.724468i
$673$	1.87750	+	2.58416i	0.0723724	+	0.0996121i	0.843669	−	0.536864i	$-0.180391\pi$
$673$	1.87750	+	2.58416i	0.0723724	+	0.0996121i	−0.771296	+	0.636476i	$0.780391\pi$
$674$	−11.7252	−	6.30290i	−0.451639	−	0.242779i
$675$	25.7369	−	3.55108i	0.990615	−	0.136681i
$676$	13.8081	+	20.8781i	0.531081	+	0.803002i
$677$	29.4537	+	40.5395i	1.13200	+	1.55806i	0.784219	+	0.620484i	$0.213064\pi$
$677$	29.4537	+	40.5395i	1.13200	+	1.55806i	0.347779	+	0.937577i	$0.386936\pi$
$678$	0.514077	−	11.2465i	0.0197430	−	0.431921i
$679$	56.1704	+	18.2509i	2.15562	+	0.700404i
$680$	−2.21164	−	18.8770i	−0.0848127	−	0.723899i
$681$	23.0102	−	42.6332i	0.881753	−	1.63371i
$682$	7.43653	−	13.8341i	0.284760	−	0.529735i
$683$	−8.00211	−	24.6280i	−0.306192	−	0.942363i	−0.979230	−	0.202755i	$-0.935011\pi$
$683$	−8.00211	−	24.6280i	−0.306192	−	0.942363i	0.673037	−	0.739609i	$-0.264989\pi$
$684$	−22.5172	−	2.06282i	−0.860965	−	0.0788738i
$685$	−8.44945	+	2.98600i	−0.322837	+	0.114089i
$686$	−4.71745	−	34.7098i	−0.180113	−	1.32523i
$687$	−3.18292	+	0.427131i	−0.121436	+	0.0162961i
$688$	−17.4480	−	29.0856i	−0.665198	−	1.10888i
$689$	1.42866	+	1.96638i	0.0544277	+	0.0749133i
$690$	17.7768	+	25.5336i	0.676751	+	0.972048i
$691$	31.1013	+	22.5964i	1.18315	+	0.859609i	0.992524	−	0.122053i	$-0.0389479\pi$
$691$	31.1013	+	22.5964i	1.18315	+	0.859609i	0.190627	+	0.981663i	$0.438948\pi$
$692$	10.2725	+	8.17715i	0.390503	+	0.310849i
$693$	−25.4066	−	1.20425i	−0.965117	−	0.0457456i
$694$	41.7933	+	7.56521i	1.58645	+	0.287172i
$695$	−0.867977	−	33.9801i	−0.0329242	−	1.28894i
$696$	22.8194	−	13.6368i	0.864969	−	0.516900i
$697$	−5.30671	−	1.72425i	−0.201006	−	0.0653108i
$698$	22.4622	−	3.05286i	0.850207	−	0.115553i
$699$	3.94286	+	4.13418i	0.149133	+	0.156369i
$700$	−26.2724	−	35.6273i	−0.993002	−	1.34659i
$701$	−3.74744			−0.141539			−0.0707694	−	0.997493i	$-0.522545\pi$
$701$	−3.74744			−0.141539			−0.0707694	+	0.997493i	$0.522545\pi$
$702$	−3.84062	−	3.37774i	−0.144955	−	0.127485i
$703$	3.81327	−	11.7361i	0.143820	−	0.442634i
$704$	−15.1891	−	2.01633i	−0.572460	−	0.0759932i
$705$	−21.5405	+	42.4703i	−0.811262	+	1.59952i
$706$	−15.1790	−	2.74762i	−0.571269	−	0.103408i
$707$	20.8573			0.784418
$708$	−3.06411	−	34.1806i	−0.115156	−	1.28459i
$709$	−15.5340	+	21.3807i	−0.583392	+	0.802970i	−0.994062	−	0.108814i	$-0.965295\pi$
$709$	−15.5340	+	21.3807i	−0.583392	+	0.802970i	0.410670	+	0.911784i	$0.365295\pi$
$710$	−27.4305	+	27.6255i	−1.02945	+	1.03677i
$711$	−22.5235	+	14.7875i	−0.844697	+	0.554573i
$712$	11.0956	−	18.6272i	0.415825	−	0.698083i
$713$	−26.6472	−	19.3603i	−0.997945	−	0.725049i
$714$	20.3367	−	25.4596i	0.761080	−	0.952803i
$715$	−2.45550	−	1.68994i	−0.0918305	−	0.0632002i
$716$	39.3583	+	1.73258i	1.47089	+	0.0647495i
$717$	7.03637	−	13.0369i	0.262778	−	0.486873i
$718$	18.2406	−	33.9328i	0.680733	−	1.26636i
$719$	14.7316	+	45.3391i	0.549395	+	1.69086i	0.710304	+	0.703895i	$0.248557\pi$
$719$	14.7316	+	45.3391i	0.549395	+	1.69086i	−0.160909	+	0.986969i	$0.551443\pi$
$720$	19.8490	+	18.0559i	0.739729	+	0.672905i
$721$	−10.2741	+	31.6203i	−0.382626	+	1.17760i
$722$	4.69115	+	4.90220i	0.174586	+	0.182441i
$723$	39.7222	+	7.25949i	1.47729	+	0.269983i
$724$	15.6800	−	10.3703i	0.582742	−	0.385407i
$725$	−27.0964	+	1.38519i	−1.00634	+	0.0514445i
$726$	−17.3154	+	4.76389i	−0.642636	+	0.176805i
$727$	14.1222	−	10.2604i	0.523765	−	0.380537i	−0.294255	−	0.955727i	$-0.595072\pi$
$727$	14.1222	−	10.2604i	0.523765	−	0.380537i	0.818020	+	0.575189i	$0.195072\pi$
$728$	−1.92784	+	8.49854i	−0.0714504	+	0.314977i
$729$	−24.2382	−	11.8958i	−0.897711	−	0.440585i
$730$	3.86823	+	23.8754i	0.143170	+	0.883668i
$731$	−24.2345	+	7.87427i	−0.896346	+	0.291241i
$732$	18.2831	+	4.17981i	0.675762	+	0.154490i
$733$	−3.27129	−	10.0680i	−0.120828	−	0.371870i	0.872290	−	0.488989i	$-0.162634\pi$
$733$	−3.27129	−	10.0680i	−0.120828	−	0.371870i	−0.993118	+	0.117119i	$0.962634\pi$
$734$	42.4076	−	20.4456i	1.56529	−	0.754661i
$735$	7.54172	−	48.1954i	0.278181	−	1.77771i
$736$	−8.47973	+	30.9936i	−0.312567	+	1.14244i
$737$	−11.2584	−	8.17971i	−0.414709	−	0.301304i
$738$	7.24995	−	3.08130i	0.266874	−	0.113424i
$739$	17.1198	−	12.4383i	0.629762	−	0.457549i	−0.226556	−	0.973998i	$-0.572747\pi$
$739$	17.1198	−	12.4383i	0.629762	−	0.457549i	0.856318	+	0.516449i	$0.172747\pi$
$740$	−12.0039	+	8.38732i	−0.441272	+	0.308324i
$741$	−0.604249	−	4.50278i	−0.0221976	−	0.165414i
$742$	3.89402	−	21.5122i	0.142954	−	0.789737i
$743$		−	10.7047i		−	0.392719i	−0.980532	−	0.196359i	$-0.937088\pi$
$743$		−	10.7047i		−	0.392719i	0.980532	−	0.196359i	$-0.0629119\pi$
$744$	−26.1221	−	11.1624i	−0.957682	−	0.409232i
$745$	5.09862	−	7.40835i	0.186799	−	0.271421i
$746$	27.2098	+	28.4339i	0.996220	+	1.04104i
$747$	11.2066	+	4.23770i	0.410029	+	0.155049i
$748$	−4.03524	+	10.7809i	−0.147543	+	0.394191i
$749$	−50.4089			−1.84190
$750$	−9.26436	−	25.7715i	−0.338287	−	0.941043i
$751$		−	13.1625i		−	0.480307i	−0.970735	−	0.240154i	$-0.922802\pi$
$751$		−	13.1625i		−	0.480307i	0.970735	−	0.240154i	$-0.0771978\pi$
$752$	−47.9297	+	11.0292i	−1.74782	+	0.402194i
$753$	−6.15079	−	12.8129i	−0.224147	−	0.466929i
$754$	3.69284	+	3.85898i	0.134485	+	0.140536i
$755$	36.6506	+	25.2239i	1.33385	+	0.917992i
$756$	1.93350	+	45.9627i	0.0703207	+	1.67165i
$757$	−24.4467			−0.888531			−0.444265	−	0.895895i	$-0.646535\pi$
$757$	−24.4467			−0.888531			−0.444265	+	0.895895i	$0.646535\pi$
$758$	−26.7807	−	4.84771i	−0.972720	−	0.176077i
$759$	−2.50627	−	18.6764i	−0.0909719	−	0.677909i
$760$	2.77351	+	23.6726i	0.100606	+	0.858697i
$761$	4.60419	+	6.33712i	0.166902	+	0.229720i	0.884273	−	0.466971i	$-0.154655\pi$
$761$	4.60419	+	6.33712i	0.166902	+	0.229720i	−0.717371	+	0.696691i	$0.754655\pi$
$762$	41.4827	+	15.6065i	1.50276	+	0.565364i
$763$	33.9134	−	46.6778i	1.22775	−	1.68985i
$764$	−30.3932	−	11.3760i	−1.09959	−	0.411569i
$765$	16.5637	−	11.4904i	0.598861	−	0.415437i
$766$	12.2642	+	25.4380i	0.443123	+	0.919111i
$767$	6.55770	−	2.13073i	0.236785	−	0.0769361i
$768$	−1.17941	+	27.6877i	−0.0425584	+	0.999094i
$769$	3.86042	+	11.8811i	0.139210	+	0.428445i	0.996221	−	0.0868532i	$-0.0276811\pi$
$769$	3.86042	+	11.8811i	0.139210	+	0.428445i	−0.857011	+	0.515298i	$0.827681\pi$
$770$	4.28793	+	26.4659i	0.154526	+	0.953763i
$771$	−26.6451	+	12.7908i	−0.959599	+	0.460651i
$772$	−13.5030	−	48.7582i	−0.485984	−	1.75485i
$773$	−1.13315	−	1.55965i	−0.0407566	−	0.0560966i	0.788152	−	0.615480i	$-0.211038\pi$
$773$	−1.13315	−	1.55965i	−0.0407566	−	0.0560966i	−0.828909	+	0.559384i	$0.811038\pi$
$774$	18.5145	−	30.8451i	0.665492	−	1.10870i
$775$	18.2169	+	22.5551i	0.654369	+	0.810202i
$776$	3.43277	+	37.5807i	0.123229	+	1.34907i
$777$	−24.6969	−	4.51351i	−0.885996	−	0.161921i
$778$	−1.99391	−	2.08362i	−0.0714853	−	0.0747014i
$779$	6.65488	+	2.16230i	0.238436	+	0.0774725i
$780$	−2.64778	+	4.69632i	−0.0948056	+	0.168155i
$781$	22.4251	−	7.28635i	0.802432	−	0.260726i
$782$	21.2633	+	11.4301i	0.760374	+	0.408739i
$783$	24.1509	+	14.5519i	0.863084	+	0.520042i
$784$	43.2042	−	25.9175i	1.54301	−	0.925625i
$785$	0.804072	−	1.16832i	0.0286986	−	0.0416993i
$786$	26.4027	+	21.0899i	0.941752	+	0.752253i
$787$	−1.14340	+	1.57375i	−0.0407577	+	0.0560982i	−0.828909	−	0.559383i	$-0.811038\pi$
$787$	−1.14340	+	1.57375i	−0.0407577	+	0.0560982i	0.788152	+	0.615481i	$0.211038\pi$
$788$	4.71481	+	0.207549i	0.167958	+	0.00739364i
$789$	−5.45546	+	29.8510i	−0.194219	+	1.06272i
$790$	20.1538	+	20.0116i	0.717042	+	0.711980i
$791$	−16.4601	−	11.9589i	−0.585253	−	0.425211i
$792$	−5.69293	−	15.2221i	−0.202290	−	0.540892i
$793$			3.76825i			0.133814i
$794$	9.82296	+	1.77810i	0.348604	+	0.0631025i
$795$	6.11786	−	12.0623i	0.216978	−	0.427805i
$796$	0.145313	+	0.524713i	0.00515048	+	0.0185980i
$797$	29.5326	+	9.59573i	1.04610	+	0.339898i	0.781136	−	0.624361i	$-0.214640\pi$
$797$	29.5326	+	9.59573i	1.04610	+	0.339898i	0.264963	+	0.964259i	$0.414640\pi$
$798$	−25.5032	+	31.9277i	−0.902802	+	1.13023i
$799$			36.9498i			1.30719i
$800$	14.3021	−	24.4018i	0.505657	−	0.862735i
$801$	22.9708	+	1.08880i	0.811635	+	0.0384707i
$802$	−16.2379	+	2.20691i	−0.573380	+	0.0779288i
$803$	4.52683	−	13.9322i	0.159748	−	0.491655i
$804$	−12.9171	+	21.6022i	−0.455551	+	0.761850i
$805$	56.2074	−	1.43574i	1.98105	−	0.0506033i
$806$	1.01664	−	5.61633i	0.0358096	−	0.197827i
$807$	−26.7878	−	28.0876i	−0.942974	−	0.988729i
$808$	5.25406	+	12.2473i	0.184837	+	0.430860i
$809$	16.4354	−	22.6213i	0.577836	−	0.795323i	−0.415620	−	0.909538i	$-0.636435\pi$
$809$	16.4354	−	22.6213i	0.577836	−	0.795323i	0.993456	+	0.114215i	$0.0364353\pi$
$810$	−6.99338	+	27.5879i	−0.245722	+	0.969340i
$811$	15.2862	−	11.1061i	0.536771	−	0.389987i	−0.286114	−	0.958196i	$-0.592363\pi$
$811$	15.2862	−	11.1061i	0.536771	−	0.389987i	0.822884	+	0.568209i	$0.192363\pi$
$812$	2.11277	−	47.9949i	0.0741437	−	1.68429i
$813$	−15.9750	+	2.14376i	−0.560269	+	0.0751851i
$814$	8.78848	−	1.19445i	0.308036	−	0.0418656i
$815$	−0.363967	−	1.02991i	−0.0127492	−	0.0360762i
$816$	20.0728	+	5.52821i	0.702688	+	0.193526i
$817$	30.3913	−	9.87473i	1.06326	−	0.345473i
$818$	11.7968	−	21.9455i	0.412466	−	0.767306i
$819$	−8.91607	+	2.43686i	−0.311553	+	0.0851509i
$820$	−4.75599	−	6.80675i	−0.166086	−	0.237702i
$821$	0.964368	−	2.96802i	0.0336567	−	0.103585i	−0.932817	−	0.360351i	$-0.882657\pi$
$821$	0.964368	−	2.96802i	0.0336567	−	0.103585i	0.966474	+	0.256766i	$0.0826570\pi$
$822$	0.448259	−	9.80665i	0.0156348	−	0.342046i
$823$	−20.6324	+	14.9903i	−0.719200	+	0.522530i	−0.886129	−	0.463439i	$-0.846615\pi$
$823$	−20.6324	+	14.9903i	−0.719200	+	0.522530i	0.166928	+	0.985969i	$0.446615\pi$
$824$	−21.1555	+	1.93243i	−0.736986	+	0.0673192i
$825$	−2.14505	+	16.4476i	−0.0746812	+	0.572633i
$826$	−54.6261	−	29.3643i	−1.90068	−	1.02171i
$827$	2.63420	−	1.91386i	0.0916002	−	0.0665514i	−0.541042	−	0.840995i	$-0.681970\pi$
$827$	2.63420	−	1.91386i	0.0916002	−	0.0665514i	0.632643	+	0.774444i	$0.281970\pi$
$828$	−33.2395	+	7.53089i	−1.15515	+	0.261717i
$829$	−29.2900	−	9.51689i	−1.01728	−	0.330535i	−0.247532	−	0.968880i	$-0.579620\pi$
$829$	−29.2900	−	9.51689i	−1.01728	−	0.330535i	−0.769751	+	0.638344i	$0.779620\pi$
$830$	1.93145	−	12.4806i	0.0670415	−	0.433209i
$831$	−13.9224	+	25.7954i	−0.482964	+	0.894833i
$832$	−5.47596	+	1.00881i	−0.189845	+	0.0349742i
$833$	−11.6966	−	35.9983i	−0.405262	−	1.24727i
$834$	34.8507	+	13.1114i	1.20678	+	0.454012i
$835$	−9.03699	+	30.4366i	−0.312738	+	1.05330i
$836$	5.06040	−	13.5198i	0.175017	−	0.467593i
$837$	−2.58904	−	30.0188i	−0.0894902	−	1.03760i
$838$	−15.9563	−	33.0960i	−0.551202	−	1.14328i
$839$	−3.54046	+	2.57230i	−0.122230	+	0.0888056i	−0.647221	−	0.762303i	$-0.724069\pi$
$839$	−3.54046	+	2.57230i	−0.122230	+	0.0888056i	0.524991	+	0.851108i	$0.324069\pi$
$840$	46.9840	−	11.9983i	1.62110	−	0.413982i
$841$	−0.360300	−	0.261773i	−0.0124241	−	0.00902666i
$842$	9.14108	−	50.4991i	0.315023	−	1.74031i
$843$	32.5114	−	31.0069i	1.11975	−	1.06793i
$844$	−31.7903	+	39.9365i	−1.09427	+	1.37467i
$845$	26.8281	+	7.96558i	0.922914	+	0.274024i
$846$	−34.2417	−	39.3545i	−1.17725	−	1.35303i
$847$	−10.0291	+	30.8664i	−0.344604	+	1.06058i
$848$	13.6128	−	3.13248i	0.467467	−	0.107570i
$849$	0.0408692	−	0.0389779i	0.00140263	−	0.00133772i
$850$	−15.4562	−	14.5824i	−0.530142	−	0.500172i
$851$		−	18.5999i		−	0.637597i
$852$	−16.7472	−	39.2206i	−0.573751	−	1.34367i
$853$	−11.6677	+	35.9095i	−0.399495	+	1.22952i	0.525910	+	0.850540i	$0.323725\pi$
$853$	−11.6677	+	35.9095i	−0.399495	+	1.22952i	−0.925405	+	0.378979i	$0.876275\pi$
$854$	24.4875	−	23.4333i	0.837946	−	0.801870i
$855$	−20.7717	+	14.4095i	−0.710376	+	0.492796i
$856$	−12.6983	−	29.6000i	−0.434019	−	1.01171i
$857$	37.9612			1.29673			0.648364	−	0.761330i	$-0.275453\pi$
$857$	37.9612			1.29673			0.648364	+	0.761330i	$0.275453\pi$
$858$	2.72660	−	1.79669i	0.0930846	−	0.0613380i
$859$	−21.8484	−	15.8738i	−0.745459	−	0.541608i	0.148957	−	0.988844i	$-0.452408\pi$
$859$	−21.8484	−	15.8738i	−0.745459	−	0.541608i	−0.894416	+	0.447236i	$0.852408\pi$
$860$	−35.8427	−	12.3818i	−1.22223	−	0.422215i
$861$	2.55937	−	14.0043i	0.0872230	−	0.477264i
$862$	32.7881	−	15.8079i	1.11677	−	0.538418i
$863$	−5.63799	+	7.76003i	−0.191919	+	0.264154i	−0.894123	−	0.447822i	$-0.852200\pi$
$863$	−5.63799	+	7.76003i	−0.191919	+	0.264154i	0.702203	+	0.711977i	$0.252200\pi$
$864$	−26.5022	+	12.7136i	−0.901622	+	0.432526i
$865$	14.6747	−	0.374846i	0.498956	−	0.0127452i
$866$	−18.5590	−	38.4945i	−0.630662	−	1.30810i
$867$	−6.55594	+	12.1468i	−0.222651	+	0.412527i
$868$	−42.8192	+	28.3193i	−1.45338	+	0.961219i
$869$	−5.31566	−	16.3599i	−0.180322	−	0.554973i
$870$	9.75180	−	28.0760i	0.330617	−	0.951866i
$871$	−4.80960	−	1.56273i	−0.162967	−	0.0529512i
$872$	35.9521	+	8.15549i	1.21749	+	0.276180i
$873$	−33.4595	+	21.9673i	−1.13243	+	0.743481i
$874$	−26.6652	−	14.3339i	−0.901964	−	0.484852i
$875$	−48.1019	−	11.6463i	−1.62614	−	0.393715i
$876$	−25.8289	−	5.90489i	−0.872676	−	0.199508i
$877$	15.5563	−	11.3023i	0.525298	−	0.381651i	−0.293298	−	0.956021i	$-0.594753\pi$
$877$	15.5563	−	11.3023i	0.525298	−	0.381651i	0.818596	+	0.574370i	$0.194753\pi$
$878$	−3.77412	+	3.61163i	−0.127370	+	0.121887i
$879$	0.601463	+	1.25293i	0.0202868	+	0.0422602i
$880$	−14.4606	+	9.18476i	−0.487465	+	0.309618i
$881$	4.30747	−	1.39958i	0.145122	−	0.0471531i	−0.235555	−	0.971861i	$-0.575691\pi$
$881$	4.30747	−	1.39958i	0.145122	−	0.0471531i	0.380677	+	0.924708i	$0.375691\pi$
$882$	45.8177	+	27.5018i	1.54276	+	0.926033i
$883$	11.0691	−	3.59655i	0.372503	−	0.121034i	−0.116782	−	0.993158i	$-0.537258\pi$
$883$	11.0691	−	3.59655i	0.372503	−	0.121034i	0.489285	+	0.872124i	$0.337258\pi$
$884$	−0.183970	+	4.17917i	−0.00618758	+	0.140561i
$885$	−27.1808	−	27.0801i	−0.913674	−	0.910288i
$886$	0.620544	+	4.56580i	0.0208476	+	0.153391i
$887$	−16.3879	+	22.5560i	−0.550251	+	0.757356i	−0.990046	−	0.140742i	$-0.955051\pi$
$887$	−16.3879	+	22.5560i	−0.550251	+	0.757356i	0.439795	+	0.898098i	$0.355051\pi$
$888$	−3.57096	−	15.6390i	−0.119834	−	0.524809i
$889$	64.7995	−	47.0796i	2.17331	−	1.57900i
$890$	−3.87684	−	23.9286i	−0.129952	−	0.802087i
$891$	11.4056	−	12.9247i	0.382103	−	0.432993i
$892$	−21.3779	+	26.8559i	−0.715784	+	0.899201i
$893$		−	46.3368i		−	1.55060i
$894$	5.42070	+	8.22628i	0.181295	+	0.275128i
$895$	34.9616	−	26.7914i	1.16864	−	0.895537i
$896$	40.6085	+	29.3115i	1.35664	+	0.979229i
$897$	−2.96349	−	6.17334i	−0.0989479	−	0.206122i
$898$	2.72224	−	0.369983i	0.0908425	−	0.0123465i
$899$			31.4651i			1.04942i
$900$	29.9757	+	1.20806i	0.999189	+	0.0402688i
$901$		−	10.4943i		−	0.349617i
$902$	0.677309	+	4.98347i	0.0225519	+	0.165931i
$903$	−28.1355	−	58.6101i	−0.936292	−	1.95042i
$904$	2.87588	−	12.6779i	0.0956505	−	0.421659i
$905$	5.98236	−	20.1486i	0.198860	−	0.669762i
$906$	−40.6970	+	26.8173i	−1.35207	+	0.890944i
$907$			26.4215i			0.877310i	0.898655	+	0.438655i	$0.144545\pi$
$907$			26.4215i			0.877310i	−0.898655	+	0.438655i	$0.855455\pi$
$908$	34.8399	−	43.7675i	1.15620	−	1.45247i
$909$	−8.84055	+	11.0294i	−0.293223	+	0.365822i
$910$	4.45398	+	8.66541i	0.147648	+	0.287256i
$911$	−0.635898	+	0.462007i	−0.0210683	+	0.0153070i	−0.598270	−	0.801295i	$-0.704145\pi$
$911$	−0.635898	+	0.462007i	−0.0210683	+	0.0153070i	0.577201	+	0.816602i	$0.304145\pi$
$912$	−25.1723	−	6.93265i	−0.833537	−	0.229563i
$913$	−4.49603	+	6.18825i	−0.148797	+	0.204801i
$914$	7.67539	−	1.04317i	0.253879	−	0.0345050i
$915$	18.6654	−	9.55416i	0.617058	−	0.315851i
$916$	−3.70468	−	0.163082i	−0.122406	−	0.00538840i
$917$	58.0791	−	18.8710i	1.91794	−	0.623176i
$918$	4.84327	+	21.5454i	0.159852	+	0.711105i
$919$	42.7390	−	13.8867i	1.40983	−	0.458081i	0.497473	−	0.867479i	$-0.334261\pi$
$919$	42.7390	−	13.8867i	1.40983	−	0.458081i	0.912356	+	0.409398i	$0.134261\pi$
$920$	15.0020	+	32.6432i	0.494602	+	1.07621i
$921$	0.0694591	+	0.144693i	0.00228875	+	0.00476778i
$922$	−9.36305	−	9.78428i	−0.308355	−	0.322228i
$923$	6.93216	−	5.03651i	0.228175	−	0.165779i
$924$	−28.6313	−	6.54557i	−0.941899	−	0.215333i
$925$	−4.25775	+	15.8089i	−0.139994	+	0.519794i
$926$	9.89754	−	18.4123i	0.325253	−	0.605065i
$927$	−12.3662	−	18.8355i	−0.406158	−	0.618640i
$928$	28.7148	−	10.8496i	0.942608	−	0.356155i
$929$	−16.3971	−	5.32773i	−0.537971	−	0.174797i	0.0274147	−	0.999624i	$-0.491273\pi$
$929$	−16.3971	−	5.32773i	−0.537971	−	0.174797i	−0.565385	+	0.824827i	$0.691273\pi$
$930$	−30.3971	+	9.20412i	−0.996762	+	0.301815i
$931$	14.6681	+	45.1437i	0.480727	+	1.47952i
$932$	3.63900	+	5.50222i	0.119199	+	0.180231i
$933$	−1.71077	+	3.16971i	−0.0560082	+	0.103772i
$934$	17.6994	−	8.53328i	0.579144	−	0.279218i
$935$	4.28835	+	12.1347i	0.140244	+	0.396846i
$936$	−3.67693	−	4.62164i	−0.120184	−	0.151063i
$937$	−24.9242	+	34.3052i	−0.814237	+	1.12070i	0.176419	+	0.984315i	$0.443549\pi$
$937$	−24.9242	+	34.3052i	−0.814237	+	1.12070i	−0.990656	+	0.136386i	$0.956451\pi$
$938$	19.7538	+	40.9726i	0.644984	+	1.33780i
$939$	4.10702	−	22.4727i	0.134028	−	0.733367i
$940$	−33.1363	+	43.8818i	−1.08079	+	1.43127i
$941$	−14.2894	−	10.3819i	−0.465823	−	0.338440i	0.329988	−	0.943985i	$-0.392955\pi$
$941$	−14.2894	−	10.3819i	−0.465823	−	0.338440i	−0.795811	+	0.605545i	$0.792955\pi$
$942$	0.854864	+	1.29731i	0.0278530	+	0.0422688i
$943$	10.5470			0.343458
$944$	3.48204	−	39.4734i	0.113331	−	1.28475i
$945$	34.6767	+	37.9857i	1.12803	+	1.23567i
$946$	15.8794	+	16.5938i	0.516284	+	0.539511i
$947$	3.41806	−	10.5197i	0.111072	−	0.341844i	−0.880036	−	0.474908i	$-0.842481\pi$
$947$	3.41806	−	10.5197i	0.111072	−	0.341844i	0.991108	+	0.133064i	$0.0424815\pi$
$948$	−28.6129	+	12.2177i	−0.929303	+	0.396814i
$949$		−	5.32347i		−	0.172807i
$950$	19.3828	+	18.2870i	0.628861	+	0.593310i
$951$	16.8250	−	16.0464i	0.545589	−	0.520341i
$952$	28.3019	−	24.7931i	0.917270	−	0.803550i
$953$	15.3086	−	47.1151i	0.495895	−	1.52621i	−0.319662	−	0.947532i	$-0.603569\pi$
$953$	15.3086	−	47.1151i	0.495895	−	1.52621i	0.815557	−	0.578677i	$-0.196431\pi$
$954$	9.72520	+	11.1773i	0.314865	+	0.361879i
$955$	−34.2095	+	12.0895i	−1.10699	+	0.391208i
$956$	10.6538	−	13.3838i	0.344569	−	0.432863i
$957$	−13.0267	+	12.4239i	−0.421093	+	0.401606i
$958$	14.4191	+	2.61007i	0.465860	+	0.0843275i
$959$	−14.3527	−	10.4278i	−0.463472	−	0.336732i
$960$	18.8809	+	24.5665i	0.609379	+	0.792879i
$961$	2.12239	−	1.54200i	0.0684641	−	0.0497421i
$962$	2.90328	−	1.39973i	0.0936054	−	0.0451292i
$963$	21.3663	−	26.6564i	0.688520	−	0.858992i
$964$	43.6683	+	16.3448i	1.40646	+	0.526430i
$965$	−46.5963	−	32.0688i	−1.49999	−	1.03233i
$966$	−21.6880	+	57.6475i	−0.697799	+	1.85478i
$967$	4.53684	+	13.9630i	0.145895	+	0.449018i	0.997125	−	0.0757743i	$-0.0241428\pi$
$967$	4.53684	+	13.9630i	0.145895	+	0.449018i	−0.851230	+	0.524793i	$0.824143\pi$
$968$	−20.6511	+	1.88635i	−0.663751	+	0.0606297i
$969$	−9.31664	+	17.2618i	−0.299294	+	0.554529i
$970$	29.9393	+	29.7279i	0.961293	+	0.954507i
$971$	18.8091	+	6.11146i	0.603614	+	0.196126i	0.594852	−	0.803836i	$-0.297211\pi$
$971$	18.8091	+	6.11146i	0.603614	+	0.196126i	0.00876235	+	0.999962i	$0.497211\pi$
$972$	−25.1248	−	18.4593i	−0.805878	−	0.592082i
$973$	54.4398	−	39.5529i	1.74526	−	1.26801i
$974$	−12.6398	+	23.5137i	−0.405006	+	0.753429i
$975$	1.10565	+	5.92539i	0.0354092	+	0.189764i
$976$	19.9285	+	8.47605i	0.637896	+	0.271312i
$977$	16.7343	−	12.1582i	0.535379	−	0.388975i	−0.286987	−	0.957934i	$-0.592654\pi$
$977$	16.7343	−	12.1582i	0.535379	−	0.388975i	0.822366	+	0.568959i	$0.192654\pi$
$978$	1.19534	+	0.0546387i	0.0382228	+	0.00174715i
$979$	−4.53691	+	13.9632i	−0.145000	+	0.446265i
$980$	18.3921	−	53.2413i	0.587513	−	1.70073i
$981$	10.3089	+	37.7184i	0.329137	+	1.20426i
$982$	−41.2683	−	22.1838i	−1.31692	−	0.707913i
$983$	29.3935	−	9.55053i	0.937508	−	0.304615i	0.199878	−	0.979821i	$-0.435945\pi$
$983$	29.3935	−	9.55053i	0.937508	−	0.304615i	0.737629	+	0.675206i	$0.235945\pi$
$984$	8.86800	−	2.02490i	0.282701	−	0.0645514i
$985$	4.18813	−	3.20940i	0.133445	−	0.102260i
$986$	−3.10575	−	22.8513i	−0.0989073	−	0.727735i
$987$	−93.4354	+	12.5385i	−2.97408	+	0.399106i
$988$	0.230707	−	5.24089i	0.00733978	−	0.166735i
$989$	38.9669	−	28.3111i	1.23907	−	0.900240i
$990$	−15.8127	−	8.95034i	−0.502561	−	0.284461i
$991$	−17.9199	+	24.6647i	−0.569245	+	0.783499i	−0.992465	−	0.122528i	$-0.960900\pi$
$991$	−17.9199	+	24.6647i	−0.569245	+	0.783499i	0.423220	+	0.906027i	$0.360900\pi$
$992$	−27.4154	−	18.0095i	−0.870441	−	0.571804i
$993$	−22.9987	−	24.1146i	−0.729842	−	0.765255i
$994$	−75.8375	−	13.7277i	−2.40542	−	0.435417i
$995$	0.501447	+	0.345109i	0.0158969	+	0.0109407i
$996$	11.8738	+	7.09995i	0.376235	+	0.224971i
$997$	−7.18874	+	22.1247i	−0.227670	+	0.700696i	0.770340	+	0.637634i	$0.220087\pi$
$997$	−7.18874	+	22.1247i	−0.227670	+	0.700696i	−0.998010	+	0.0630621i	$0.979913\pi$
$998$	−7.96715	−	58.6202i	−0.252196	−	1.85559i
$999$	12.8548	−	11.1467i	0.406707	−	0.352666i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	600.2.bk.a.539.64	yes	464
3.2	odd	2	inner	600.2.bk.a.539.53	yes	464
8.3	odd	2	inner	600.2.bk.a.539.15	yes	464
24.11	even	2	inner	600.2.bk.a.539.102	yes	464
25.9	even	10	inner	600.2.bk.a.59.102	yes	464
75.59	odd	10	inner	600.2.bk.a.59.15	✓	464
200.59	odd	10	inner	600.2.bk.a.59.53	yes	464
600.59	even	10	inner	600.2.bk.a.59.64	yes	464

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
600.2.bk.a.59.15	✓	464	75.59	odd	10	inner
600.2.bk.a.59.53	yes	464	200.59	odd	10	inner
600.2.bk.a.59.64	yes	464	600.59	even	10	inner
600.2.bk.a.59.102	yes	464	25.9	even	10	inner
600.2.bk.a.539.15	yes	464	8.3	odd	2	inner
600.2.bk.a.539.53	yes	464	3.2	odd	2	inner
600.2.bk.a.539.64	yes	464	1.1	even	1	trivial
600.2.bk.a.539.102	yes	464	24.11	even	2	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 600 = 2^{3} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	600.bk (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.190456 + 1.40133i) q^{2} +(-1.56146 + 0.749570i) q^{3} +(-1.92745 + 0.533785i) q^{4} +(-1.26771 + 1.84199i) q^{5} +(-1.34778 - 2.04535i) q^{6} -4.42667 q^{7} +(-1.11510 - 2.59933i) q^{8} +(1.87629 - 2.34084i) q^{9} +O(q^{10})\)	\(q+(0.190456 + 1.40133i) q^{2} +(-1.56146 + 0.749570i) q^{3} +(-1.92745 + 0.533785i) q^{4} +(-1.26771 + 1.84199i) q^{5} +(-1.34778 - 2.04535i) q^{6} -4.42667 q^{7} +(-1.11510 - 2.59933i) q^{8} +(1.87629 - 2.34084i) q^{9} +(-2.82268 - 1.42566i) q^{10} +(1.12578 + 1.54950i) q^{11} +(2.60952 - 2.27824i) q^{12} +(0.563087 + 0.409107i) q^{13} +(-0.843088 - 6.20323i) q^{14} +(0.598766 - 3.82642i) q^{15} +(3.43015 - 2.05769i) q^{16} +(-0.928635 - 2.85804i) q^{17} +(3.63764 + 2.18347i) q^{18} +(1.16455 + 3.58413i) q^{19} +(1.46022 - 4.22703i) q^{20} +(6.91206 - 3.31810i) q^{21} +(-1.95695 + 1.87270i) q^{22} +(3.33881 + 4.59547i) q^{23} +(3.68957 + 3.22290i) q^{24} +(-1.78585 - 4.67020i) q^{25} +(-0.466050 + 0.866988i) q^{26} +(-1.17512 + 5.06153i) q^{27} +(8.53220 - 2.36289i) q^{28} +(1.67684 - 5.16077i) q^{29} +(5.47611 + 0.110303i) q^{30} +(-5.51477 + 1.79186i) q^{31} +(3.53680 + 4.41487i) q^{32} +(-2.91932 - 1.57563i) q^{33} +(3.82820 - 1.84566i) q^{34} +(5.61172 - 8.15388i) q^{35} +(-2.36695 + 5.51340i) q^{36} +(-2.64909 - 1.92467i) q^{37} +(-4.80075 + 2.31455i) q^{38} +(-1.18589 - 0.216729i) q^{39} +(6.20157 + 1.24118i) q^{40} +(1.09138 - 1.50215i) q^{41} +(5.96620 + 9.05412i) q^{42} -8.47941i q^{43} +(-2.99699 - 2.38567i) q^{44} +(1.93322 + 6.42360i) q^{45} +(-5.80388 + 5.55401i) q^{46} +(-11.6938 - 3.79954i) q^{47} +(-3.81364 + 5.78413i) q^{48} +12.5954 q^{49} +(6.20436 - 3.39203i) q^{50} +(3.59233 + 3.76663i) q^{51} +(-1.30370 - 0.487967i) q^{52} +(3.32123 + 1.07913i) q^{53} +(-7.31669 - 0.682727i) q^{54} +(-4.28133 + 0.109361i) q^{55} +(4.93620 + 11.5064i) q^{56} +(-4.50496 - 4.72354i) q^{57} +(7.55131 + 1.36690i) q^{58} +(5.82299 - 8.01466i) q^{59} +(0.888390 + 7.69485i) q^{60} +(3.18229 + 4.38005i) q^{61} +(-3.56131 - 7.38674i) q^{62} +(-8.30572 + 10.3621i) q^{63} +(-5.51308 + 5.79706i) q^{64} +(-1.46740 + 0.518573i) q^{65} +(1.65198 - 4.39102i) q^{66} +(-6.91020 + 2.24526i) q^{67} +(3.31548 + 5.01306i) q^{68} +(-8.65803 - 4.67296i) q^{69} +(12.4951 + 6.31091i) q^{70} +(3.80430 - 11.7084i) q^{71} +(-8.17689 - 2.26682i) q^{72} +(-4.49568 - 6.18778i) q^{73} +(2.19257 - 4.07881i) q^{74} +(6.28916 + 5.95369i) q^{75} +(-4.15778 - 6.28662i) q^{76} +(-4.98346 - 6.85915i) q^{77} +(0.0778483 - 1.70310i) q^{78} +(-8.54174 - 2.77538i) q^{79} +(-0.558175 + 8.92684i) q^{80} +(-1.95908 - 8.78419i) q^{81} +(2.31287 + 1.24329i) q^{82} +(1.23412 + 3.79823i) q^{83} +(-11.5515 + 10.0850i) q^{84} +(6.44172 + 1.91262i) q^{85} +(11.8824 - 1.61496i) q^{86} +(1.25005 + 9.31523i) q^{87} +(2.77232 - 4.65414i) q^{88} +(4.50569 + 6.20156i) q^{89} +(-8.63339 + 3.93250i) q^{90} +(-2.49260 - 1.81098i) q^{91} +(-8.88839 - 7.07535i) q^{92} +(7.26794 - 6.93161i) q^{93} +(3.09726 - 17.1105i) q^{94} +(-8.07824 - 2.39852i) q^{95} +(-8.83181 - 4.24255i) q^{96} +(-12.6891 - 4.12293i) q^{97} +(2.39888 + 17.6504i) q^{98} +(5.73943 + 0.272044i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) \) 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9	\( 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9} - 16 q^{10} - 5 q^{12} - 18 q^{16} - 12 q^{19} - 10 q^{22} + 12 q^{24} - 16 q^{25} - 10 q^{27} - 50 q^{28} - 21 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 32 q^{40} + 15 q^{42} - 34 q^{46} - 70 q^{48} + 336 q^{49} - 4 q^{51} - 60 q^{52} + 40 q^{54} - 70 q^{58} - 50 q^{60} - 30 q^{64} + 28 q^{66} - 20 q^{67} - 16 q^{70} - 5 q^{72} - 20 q^{73} - 42 q^{75} - 48 q^{76} + 75 q^{78} - 6 q^{81} - 76 q^{84} - 70 q^{88} + 66 q^{90} - 96 q^{91} - 108 q^{94} - 50 q^{96} - 60 q^{97} - 52 q^{99}+O(q^{100}) \) 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9 - 16 * q^10 - 5 * q^12 - 18 * q^16 - 12 * q^19 - 10 * q^22 + 12 * q^24 - 16 * q^25 - 10 * q^27 - 50 * q^28 - 21 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 32 * q^40 + 15 * q^42 - 34 * q^46 - 70 * q^48 + 336 * q^49 - 4 * q^51 - 60 * q^52 + 40 * q^54 - 70 * q^58 - 50 * q^60 - 30 * q^64 + 28 * q^66 - 20 * q^67 - 16 * q^70 - 5 * q^72 - 20 * q^73 - 42 * q^75 - 48 * q^76 + 75 * q^78 - 6 * q^81 - 76 * q^84 - 70 * q^88 + 66 * q^90 - 96 * q^91 - 108 * q^94 - 50 * q^96 - 60 * q^97 - 52 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more