LMFDB - Embedded newform 600.2.bk.a.59.64

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			59.64
Character	$\chi$	$=$	600.59
Dual form			600.2.bk.a.539.64

$q$-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 $\left(\mathbb{Z}/600\mathbb{Z}\right)^\times$.

$n$	$151$	$301$	$401$	$577$
$\chi(n)$	$-1$	$-1$	$-1$	$e\left(\frac{7}{10}\right)$

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	−0.604841	−	0.796346i	$-0.706763\pi$
$11$	1.12578	−	1.54950i	0.339436	−	0.467193i	0.944276	+	0.329153i	$0.106763\pi$
$12$	2.60952	+	2.27824i	0.753304	+	0.657672i
$13$	0.563087	−	0.409107i	0.156172	−	0.113466i	−0.506955	−	0.861973i	$-0.669229\pi$
$13$	0.563087	−	0.409107i	0.156172	−	0.113466i	0.663127	+	0.748507i	$0.269229\pi$
$14$	−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	0.773041	+	0.634356i	$0.218734\pi$
$17$	−0.928635	+	2.85804i	−0.225227	+	0.693178i	−0.998268	+	0.0588221i	$0.981266\pi$
$18$	3.63764	−	2.18347i	0.857401	−	0.514649i
$19$	1.16455	−	3.58413i	0.267167	−	0.822256i	−0.724019	−	0.689780i	$-0.757707\pi$
$19$	1.16455	−	3.58413i	0.267167	−	0.822256i	0.991186	−	0.132476i	$-0.0422927\pi$
$20$	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	−0.303796	−	0.952737i	$-0.598254\pi$
$23$	3.33881	−	4.59547i	0.696189	−	0.958222i	0.999985	−	0.00548519i	$-0.00174600\pi$
$24$	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	0.977219	+	0.212235i	$0.0680742\pi$
$29$	1.67684	+	5.16077i	0.311381	+	0.958331i	−0.665838	+	0.746096i	$0.731926\pi$
$30$	5.47611	−	0.110303i	0.999797	−	0.0201385i
$31$	−5.51477	−	1.79186i	−0.990482	−	0.321827i	−0.231426	−	0.972853i	$-0.574339\pi$
$31$	−5.51477	−	1.79186i	−0.990482	−	0.321827i	−0.759056	+	0.651026i	$0.774339\pi$
$32$	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	−0.783847	−	0.620954i	$-0.786745\pi$
$37$	−2.64909	+	1.92467i	−0.435507	+	0.316414i	0.348340	+	0.937368i	$0.386745\pi$
$38$	−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	0.885691	−	0.464276i	$-0.153685\pi$
$41$	1.09138	+	1.50215i	0.170445	+	0.234597i	−0.715246	+	0.698873i	$0.753685\pi$
$42$	5.96620	−	9.05412i	0.920605	−	1.39708i
$43$			8.47941i			1.29310i	0.762873	+	0.646549i	$0.223788\pi$
$43$			8.47941i			1.29310i	−0.762873	+	0.646549i	$0.776212\pi$
$44$	−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	−0.989611	−	0.143773i	$-0.954077\pi$
$47$	−11.6938	+	3.79954i	−1.70572	+	0.554220i	−0.716104	+	0.697993i	$0.754077\pi$
$48$	−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	−0.0718943	−	0.997412i	$-0.522904\pi$
$53$	3.32123	−	1.07913i	0.456206	−	0.148230i	0.528100	+	0.849182i	$0.322904\pi$
$54$	−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	0.997371	+	0.0724696i	$0.0230880\pi$
$59$	5.82299	+	8.01466i	0.758089	+	1.04342i	−0.239282	+	0.970950i	$0.576912\pi$
$60$	0.888390	−	7.69485i	0.114691	−	0.993401i
$61$	3.18229	−	4.38005i	0.407451	−	0.560808i	−0.555143	−	0.831755i	$-0.687337\pi$
$61$	3.18229	−	4.38005i	0.407451	−	0.560808i	0.962594	+	0.270946i	$0.0873366\pi$
$62$	−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	−0.145194	−	0.989403i	$-0.546381\pi$
$67$	−6.91020	−	2.24526i	−0.844216	−	0.274302i	−0.699021	+	0.715101i	$0.746381\pi$
$68$	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	0.875210	+	0.483744i	$0.160723\pi$
$71$	3.80430	+	11.7084i	0.451488	+	1.38954i	−0.423722	+	0.905792i	$0.639277\pi$
$72$	−8.17689	+	2.26682i	−0.963656	+	0.267147i
$73$	−4.49568	+	6.18778i	−0.526180	+	0.724225i	−0.986542	−	0.163506i	$-0.947720\pi$
$73$	−4.49568	+	6.18778i	−0.526180	+	0.724225i	0.460362	+	0.887731i	$0.347720\pi$
$74$	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	−0.747186	−	0.664615i	$-0.768596\pi$
$79$	−8.54174	+	2.77538i	−0.961021	+	0.312255i	−0.213835	+	0.976870i	$0.568596\pi$
$80$	−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	−0.860199	−	0.509958i	$-0.829661\pi$
$83$	1.23412	−	3.79823i	0.135462	−	0.416910i	0.995662	+	0.0930478i	$0.0296609\pi$
$84$	−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	−0.500439	−	0.865772i	$-0.666828\pi$
$89$	4.50569	−	6.20156i	0.477603	−	0.657364i	0.978042	+	0.208408i	$0.0668282\pi$
$90$	−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	−0.871524	−	0.490352i	$-0.836868\pi$
$97$	−12.6891	+	4.12293i	−1.28838	+	0.418620i	−0.416856	+	0.908973i	$0.636868\pi$
$98$	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	0.997896	+	0.0648334i	$0.0206516\pi$
$103$	2.32094	+	7.14313i	0.228689	+	0.703833i	−0.769207	+	0.639000i	$0.779348\pi$
$104$	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	−0.998951	−	0.0457883i	$-0.985420\pi$
$109$	−7.66115	−	10.5447i	−0.733805	−	1.01000i	0.265146	−	0.964208i	$-0.414580\pi$
$110$	−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	−0.398987	−	0.916956i	$-0.630638\pi$
$113$	3.71839	−	2.70157i	0.349796	−	0.254142i	0.748784	+	0.662815i	$0.230638\pi$
$114$	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	−0.299005	−	0.954251i	$-0.596655\pi$
$127$	−14.6384	−	10.6354i	−1.29895	−	0.943742i	−0.999945	+	0.0105091i	$0.996655\pi$
$128$	−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	−0.326565	−	0.945175i	$-0.605891\pi$
$131$	−13.1203	−	4.26303i	−1.14632	−	0.372463i	−0.819757	+	0.572712i	$0.805891\pi$
$132$	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	−0.440602	−	0.897702i	$-0.645235\pi$
$137$	3.24232	−	2.35568i	0.277010	−	0.201260i	0.717612	+	0.696443i	$0.245235\pi$
$138$	4.89938	+	13.0228i	0.417063	+	1.10857i
$139$	−12.2981	−	8.93512i	−1.04311	−	0.757867i	−0.0722234	−	0.997388i	$-0.523009\pi$
$139$	−12.2981	−	8.93512i	−1.04311	−	0.757867i	−0.970891	+	0.239521i	$0.923009\pi$
$140$	−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	$0.300321\pi$
$151$			19.8973i			1.61922i	−0.586969	+	0.809610i	$0.699679\pi$
$152$	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	0.797624	−	0.603155i	$-0.206090\pi$
$163$	−0.287136	−	0.395209i	−0.0224902	−	0.0309552i	−0.820114	+	0.572200i	$0.806090\pi$
$164$	−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	0.780694	−	0.624914i	$-0.214866\pi$
$167$	13.5040	+	4.38773i	1.04497	+	0.339532i	0.264279	+	0.964446i	$0.414866\pi$
$168$	−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	−0.930107	−	0.367290i	$-0.880286\pi$
$173$	−3.85874	+	5.31110i	−0.293374	+	0.403795i	0.636732	+	0.771085i	$0.280286\pi$
$174$	−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	−0.909272	−	0.416202i	$-0.863361\pi$
$179$	−18.7341	+	6.08707i	−1.40025	+	0.454969i	−0.490979	+	0.871171i	$0.663361\pi$
$180$	−7.15501	+	11.3493i	−0.533303	+	0.845924i
$181$	−8.93947	−	2.90461i	−0.664466	−	0.215898i	−0.0426840	−	0.999089i	$-0.513591\pi$
$181$	−8.93947	−	2.90461i	−0.664466	−	0.215898i	−0.621782	+	0.783191i	$0.713591\pi$
$182$	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	−0.000916214	−	1.00000i	$-0.500292\pi$
$191$	13.1273	−	9.53753i	0.949857	−	0.690111i	0.950773	+	0.309888i	$0.100292\pi$
$192$	4.26313	+	13.1843i	0.307665	+	0.951495i
$193$		−	25.2967i		−	1.82090i	−0.413622	−	0.910449i	$-0.635736\pi$
$193$		−	25.2967i		−	1.82090i	0.413622	−	0.910449i	$-0.364264\pi$
$194$	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	−0.387870	−	0.921714i	$-0.626789\pi$
$197$	−2.24420	+	0.729184i	−0.159893	+	0.0519522i	0.227977	+	0.973667i	$0.426789\pi$
$198$	0.711889	−	8.09465i	0.0505917	−	0.575262i
$199$			0.272231i			0.0192980i	0.999953	+	0.00964898i	$0.00307141\pi$
$199$			0.272231i			0.0192980i	−0.999953	+	0.00964898i	$0.996929\pi$
$200$	−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	0.991528	+	0.129895i	$0.0414639\pi$
$211$	20.6480	+	15.0016i	1.42146	+	1.03275i	0.429936	+	0.902859i	$0.358536\pi$
$212$	−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	0.945946	−	0.324324i	$-0.105137\pi$
$223$	13.8850	+	10.0881i	0.929810	+	0.675546i	−0.0161366	+	0.999870i	$0.505137\pi$
$224$	−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	−0.969610	−	0.244654i	$-0.921326\pi$
$227$	−22.6287	−	16.4407i	−1.50192	−	1.09121i	−0.532306	−	0.846552i	$-0.678674\pi$
$228$	11.2044	−	6.69973i	0.742033	−	0.443701i
$229$	1.76339	−	0.572959i	0.116528	−	0.0378622i	−0.250173	−	0.968201i	$-0.580487\pi$
$229$	1.76339	−	0.572959i	0.116528	−	0.0378622i	0.366700	+	0.930339i	$0.380487\pi$
$230$	−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	−0.978876	−	0.204455i	$-0.934458\pi$
$233$	−1.01925	+	3.13693i	−0.0667733	+	0.205507i	0.912103	+	0.409962i	$0.134458\pi$
$234$	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	0.341049	−	0.940046i	$-0.389218\pi$
$239$	−6.91969	−	5.02745i	−0.447598	−	0.325199i	−0.788647	+	0.614847i	$0.789218\pi$
$240$	−5.81973	+	14.3573i	−0.375662	+	0.926757i
$241$	−18.8610	+	13.7033i	−1.21494	+	0.882709i	−0.995670	−	0.0929547i	$-0.970369\pi$
$241$	−18.8610	+	13.7033i	−1.21494	+	0.882709i	−0.219274	+	0.975663i	$0.570369\pi$
$242$	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	$-0.916616\pi$
$251$		−	8.20576i		−	0.517943i	0.965885	−	0.258971i	$-0.0833835\pi$
$252$	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	0.998336	−	0.0576562i	$-0.0183627\pi$
$263$	10.2980	+	14.1739i	0.634999	+	0.874002i	−0.363337	+	0.931658i	$0.618363\pi$
$264$	−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	−0.483429	−	0.875384i	$-0.660609\pi$
$269$	6.92477	−	21.3123i	0.422211	−	1.29943i	0.905640	−	0.424048i	$-0.139391\pi$
$270$	10.5330	+	12.6118i	0.641017	+	0.767527i
$271$	8.85040	−	2.87567i	0.537623	−	0.174684i	−0.0276049	−	0.999619i	$-0.508788\pi$
$271$	8.85040	−	2.87567i	0.537623	−	0.174684i	0.565228	+	0.824934i	$0.308788\pi$
$272$	−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	0.917470	−	0.397806i	$-0.130228\pi$
$277$	13.6916	+	9.94752i	0.822647	+	0.597688i	−0.0948221	+	0.995494i	$0.530228\pi$
$278$	−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	−0.540029	−	0.841646i	$-0.681587\pi$
$281$	−24.6690	−	8.01544i	−1.47163	−	0.478161i	−0.931600	+	0.363485i	$0.881587\pi$
$282$	7.98930	−	29.0389i	0.475756	−	1.72924i
$283$	−0.0310107	−	0.0100760i	−0.00184340	−	0.000598956i	0.308095	−	0.951356i	$-0.400308\pi$
$283$	−0.0310107	−	0.0100760i	−0.00184340	−	0.000598956i	−0.309939	+	0.950757i	$0.600308\pi$
$284$	−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	$0.00746144\pi$
$293$			0.802410i			0.0468773i	−0.999725	+	0.0234386i	$0.992539\pi$
$294$	−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	$0.000841721\pi$
$307$			0.0926652i			0.00528868i	−0.999997	+	0.00264434i	$0.999158\pi$
$308$	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	0.634463	−	0.772953i	$-0.281221\pi$
$311$	1.68241	+	1.22234i	0.0954005	+	0.0693125i	−0.539062	+	0.842266i	$0.681221\pi$
$312$	0.759040	−	3.32420i	0.0429722	−	0.188196i
$313$	−7.75259	−	10.6705i	−0.438202	−	0.603134i	0.531609	−	0.846990i	$-0.321587\pi$
$313$	−7.75259	−	10.6705i	−0.438202	−	0.603134i	−0.969811	+	0.243856i	$0.921587\pi$
$314$	−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	−0.0722995	−	0.997383i	$-0.523034\pi$
$317$	−12.7665	−	4.14809i	−0.717038	−	0.232980i	−0.644738	+	0.764403i	$0.723034\pi$
$318$	−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	−0.643847	−	0.765154i	$-0.722663\pi$
$331$	5.94528	−	18.2977i	0.326782	−	1.00573i	0.970630	−	0.240578i	$-0.0773371\pi$
$332$	−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	0.631282	−	0.775554i	$-0.282529\pi$
$337$	−5.53279	−	7.61524i	−0.301390	−	0.414828i	−0.932672	+	0.360725i	$0.882529\pi$
$338$	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	0.811897	+	0.583801i	$0.198435\pi$
$347$	9.28059	+	28.5627i	0.498208	+	1.53333i	−0.313689	+	0.949526i	$0.601565\pi$
$348$	−7.38175	+	17.2874i	−0.395703	+	0.926702i
$349$			16.0292i			0.858023i	0.903299	+	0.429012i	$0.141138\pi$
$349$			16.0292i			0.858023i	−0.903299	+	0.429012i	$0.858862\pi$
$350$	−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	0.820406	−	0.571781i	$-0.193747\pi$
$353$	−3.37063	−	10.3737i	−0.179401	−	0.552139i	−0.999807	+	0.0196422i	$0.993747\pi$
$354$	−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	−0.990173	−	0.139850i	$-0.955338\pi$
$359$	−22.0385	+	16.0119i	−1.16315	+	0.845076i	−0.172975	+	0.984926i	$0.555338\pi$
$360$	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	0.202341	+	0.979315i	$0.435145\pi$
$367$	−10.2871	+	31.6605i	−0.536983	+	1.65266i	−0.739324	+	0.673350i	$0.764855\pi$
$368$	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	0.990490	−	0.137583i	$-0.0439334\pi$
$373$	22.5138	+	16.3572i	1.16572	+	0.846945i	0.175229	+	0.984528i	$0.443933\pi$
$374$	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	−0.979501	−	0.201441i	$-0.935438\pi$
$379$	−5.94690	−	18.3027i	−0.305472	−	0.940146i	0.674029	−	0.738705i	$-0.264562\pi$
$380$	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	0.750984	−	0.660321i	$-0.229580\pi$
$383$	18.9914	+	6.17068i	0.970415	+	0.315307i	0.219432	+	0.975628i	$0.429580\pi$
$384$	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	0.545175	−	0.838322i	$-0.316463\pi$
$389$	−1.64980	−	1.19865i	−0.0836480	−	0.0607738i	−0.628823	+	0.777548i	$0.716463\pi$
$390$	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	0.990755	−	0.135665i	$-0.0433172\pi$
$397$	2.18128	+	6.71328i	0.109475	+	0.336930i	−0.881280	+	0.472595i	$0.843317\pi$
$398$	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	$-0.906569\pi$
$401$		−	11.5875i		−	0.578652i	0.957231	−	0.289326i	$-0.0934311\pi$
$402$	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	−0.881482	−	0.472218i	$-0.843453\pi$
$409$	−14.2531	+	10.3554i	−0.704768	+	0.512044i	0.176714	+	0.984262i	$0.443453\pi$
$410$	−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	−0.364732	−	0.931112i	$-0.618839\pi$
$419$	−24.7087	−	8.02836i	−1.20710	−	0.392211i	−0.842369	+	0.538902i	$0.818839\pi$
$420$	−3.93261	+	34.0626i	−0.191892	+	1.66208i
$421$	−34.5125	+	11.2138i	−1.68203	+	0.546526i	−0.985304	−	0.170808i	$-0.945362\pi$
$421$	−34.5125	+	11.2138i	−1.68203	+	0.546526i	−0.696730	+	0.717334i	$0.745362\pi$
$422$	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	0.554725	+	0.832034i	$0.312824\pi$
$431$	−7.95366	+	24.4788i	−0.383114	+	1.17910i	−0.937839	+	0.347071i	$0.887176\pi$
$432$	6.38423	−	19.7798i	0.307162	−	0.951657i
$433$	−28.7391	−	9.33790i	−1.38111	−	0.448751i	−0.478078	−	0.878317i	$-0.658666\pi$
$433$	−28.7391	−	9.33790i	−1.38111	−	0.448751i	−0.903035	+	0.429566i	$0.858666\pi$
$434$	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	−0.754056	−	0.656810i	$-0.771905\pi$
$439$	2.17114	−	2.98832i	0.103623	−	0.142625i	0.857679	+	0.514185i	$0.171905\pi$
$440$	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	$0.0145961\pi$
$449$			1.94261i			0.0916776i	−0.998949	+	0.0458388i	$0.985404\pi$
$450$	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	$0.0408900\pi$
$457$			5.47722i			0.256213i	−0.991760	+	0.128107i	$0.959110\pi$
$458$	−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	0.392574	−	0.919720i	$-0.371585\pi$
$461$	−7.74713	−	5.62862i	−0.360820	−	0.262151i	−0.753394	+	0.657569i	$0.771585\pi$
$462$	−7.31276	−	19.4376i	−0.340220	−	0.904319i
$463$	−11.9583	+	8.68823i	−0.555750	+	0.403776i	−0.829901	−	0.557911i	$-0.811603\pi$
$463$	−11.9583	+	8.68823i	−0.555750	+	0.403776i	0.274151	+	0.961687i	$0.411603\pi$
$464$	−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	0.801235	+	0.598350i	$0.204177\pi$
$467$	−4.29349	+	13.2140i	−0.198679	+	0.611471i	−0.999914	+	0.0131210i	$0.995823\pi$
$468$	−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	0.997176	−	0.0751049i	$-0.0239292\pi$
$479$	3.20189	+	9.85440i	0.146298	+	0.450259i	−0.850878	+	0.525364i	$0.823929\pi$
$480$	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	−0.185302	−	0.982682i	$-0.559326\pi$
$487$	15.2716	−	11.0955i	0.692022	−	0.502783i	0.877324	+	0.479898i	$0.159326\pi$
$488$	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	−0.976747	−	0.214396i	$-0.931222\pi$
$491$	−19.4733	−	26.8027i	−0.878818	−	1.20959i	0.0979284	−	0.995193i	$-0.468778\pi$
$492$	−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	−0.448868	−	0.893598i	$-0.648173\pi$
$503$	−6.43150	+	2.08972i	−0.286766	+	0.0931761i	0.162102	+	0.986774i	$0.448173\pi$
$504$	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	−0.922178	−	0.386766i	$-0.873592\pi$
$509$	−18.9357	+	13.7576i	−0.839310	+	0.609794i	0.0828682	+	0.996561i	$0.473592\pi$
$510$	−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	0.349620	−	0.936892i	$-0.386311\pi$
$521$	27.0061	−	8.77482i	1.18316	−	0.384432i	0.833540	+	0.552460i	$0.186311\pi$
$522$	17.3681	+	15.1117i	0.760183	+	0.661422i
$523$	−14.0914	+	19.3951i	−0.616173	+	0.848090i	−0.997067	−	0.0765287i	$-0.975616\pi$
$523$	−14.0914	+	19.3951i	−0.616173	+	0.848090i	0.380894	+	0.924619i	$0.375616\pi$
$524$	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	0.604333	−	0.796732i	$-0.293439\pi$
$541$	−7.91175	−	10.8896i	−0.340153	−	0.468180i	−0.944486	+	0.328552i	$0.893439\pi$
$542$	−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	−0.951742	−	0.306899i	$-0.900709\pi$
$547$	−36.0486	+	11.7129i	−1.54133	+	0.500807i	−0.589585	+	0.807707i	$0.700709\pi$
$548$	−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	$-0.999912\pi$
$557$		−	0.0131183i		−	0.000555842i	1.00000		0.000277921i	$-8.84650e-5\pi$
$558$	−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	−0.733239	−	0.679971i	$-0.761992\pi$
$563$	−7.42985	+	5.39810i	−0.313131	+	0.227503i	0.420108	+	0.907474i	$0.361992\pi$
$564$	−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	0.241532	−	0.970393i	$-0.422350\pi$
$569$	−3.18321	−	1.03429i	−0.133447	−	0.0433596i	−0.374979	+	0.927033i	$0.622350\pi$
$570$	5.98189	−	19.7556i	0.250554	−	0.827469i
$571$	4.66987	+	14.3724i	0.195428	+	0.601465i	0.999971	+	0.00757126i	$0.00241003\pi$
$571$	4.66987	+	14.3724i	0.195428	+	0.601465i	−0.804544	+	0.593894i	$0.797590\pi$
$572$	−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	−0.765810	−	0.643067i	$-0.777661\pi$
$577$	1.98009	−	2.72536i	0.0824321	−	0.113458i	0.848242	+	0.529609i	$0.177661\pi$
$578$	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	−0.647909	−	0.761718i	$-0.724356\pi$
$587$	−2.99670	+	2.17723i	−0.123687	+	0.0898638i	0.524222	+	0.851582i	$0.324356\pi$
$588$	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	−0.590567	−	0.806988i	$-0.701096\pi$
$613$	−0.137936	+	0.100216i	−0.00557118	+	0.00404770i	0.584996	+	0.811036i	$0.301096\pi$
$614$	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	−0.585637	−	0.810574i	$-0.699155\pi$
$617$	9.05639	−	27.8727i	0.364597	−	1.12211i	0.950233	−	0.311539i	$-0.100845\pi$
$618$	−17.7384	−	4.88025i	−0.713542	−	0.196312i
$619$	12.2866	−	37.8144i	0.493842	−	1.51989i	−0.324913	−	0.945744i	$-0.605335\pi$
$619$	12.2866	−	37.8144i	0.493842	−	1.51989i	0.818754	−	0.574144i	$-0.194665\pi$
$620$	−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	−0.119287	−	0.992860i	$-0.538061\pi$
$631$	−20.0802	−	6.52446i	−0.799381	−	0.259734i	−0.680094	+	0.733125i	$0.738061\pi$
$632$	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	0.991719	−	0.128427i	$-0.0409928\pi$
$641$	14.2570	+	19.6231i	0.563120	+	0.775068i	−0.428599	+	0.903495i	$0.640993\pi$
$642$	−15.3480	+	23.2916i	−0.605736	+	0.919245i
$643$		−	4.08124i		−	0.160948i	−0.996757	−	0.0804742i	$-0.974357\pi$
$643$		−	4.08124i		−	0.160948i	0.996757	−	0.0804742i	$-0.0256435\pi$
$644$	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	−0.730919	−	0.682464i	$-0.760908\pi$
$647$	−23.4294	+	7.61266i	−0.921103	+	0.299284i	−0.190184	+	0.981749i	$0.560908\pi$
$648$	−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	−0.424763	−	0.905305i	$-0.639643\pi$
$653$	−6.03784	+	1.96181i	−0.236279	+	0.0767717i	0.188484	+	0.982076i	$0.439643\pi$
$654$	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	0.920118	−	0.391640i	$-0.128092\pi$
$659$	6.75954	+	9.30371i	0.263314	+	0.362421i	−0.656804	+	0.754061i	$0.728092\pi$
$660$	−10.9231	−	10.0393i	−0.425180	−	0.390778i
$661$	18.0318	−	24.8187i	0.701357	−	0.965336i	−0.298583	−	0.954384i	$-0.596514\pi$
$661$	18.0318	−	24.8187i	0.701357	−	0.965336i	0.999940	−	0.0109518i	$-0.00348613\pi$
$662$	−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	−0.771296	−	0.636476i	$-0.780391\pi$
$673$	1.87750	−	2.58416i	0.0723724	−	0.0996121i	0.843669	+	0.536864i	$0.180391\pi$
$674$	−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	0.347779	−	0.937577i	$-0.386936\pi$
$677$	29.4537	−	40.5395i	1.13200	−	1.55806i	0.784219	−	0.620484i	$-0.213064\pi$
$678$	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	0.673037	+	0.739609i	$0.264989\pi$
$683$	−8.00211	+	24.6280i	−0.306192	+	0.942363i	−0.979230	+	0.202755i	$0.935011\pi$
$684$	−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	0.190627	−	0.981663i	$-0.438948\pi$
$691$	31.1013	−	22.5964i	1.18315	−	0.859609i	0.992524	+	0.122053i	$0.0389479\pi$
$692$	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	0.410670	−	0.911784i	$-0.365295\pi$
$709$	−15.5340	−	21.3807i	−0.583392	−	0.802970i	−0.994062	+	0.108814i	$0.965295\pi$
$710$	−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	−0.160909	−	0.986969i	$-0.551443\pi$
$719$	14.7316	−	45.3391i	0.549395	−	1.69086i	0.710304	−	0.703895i	$-0.248557\pi$
$720$	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	0.818020	−	0.575189i	$-0.195072\pi$
$727$	14.1222	+	10.2604i	0.523765	+	0.380537i	−0.294255	+	0.955727i	$0.595072\pi$
$728$	−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	−0.993118	−	0.117119i	$-0.962634\pi$
$733$	−3.27129	+	10.0680i	−0.120828	+	0.371870i	0.872290	+	0.488989i	$0.162634\pi$
$734$	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	0.856318	−	0.516449i	$-0.172747\pi$
$739$	17.1198	+	12.4383i	0.629762	+	0.457549i	−0.226556	+	0.973998i	$0.572747\pi$
$740$	−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	$0.0629119\pi$
$743$			10.7047i			0.392719i	−0.980532	+	0.196359i	$0.937088\pi$
$744$	−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	$0.0771978\pi$
$751$			13.1625i			0.480307i	−0.970735	+	0.240154i	$0.922802\pi$
$752$	−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	−0.717371	−	0.696691i	$-0.754655\pi$
$761$	4.60419	−	6.33712i	0.166902	−	0.229720i	0.884273	+	0.466971i	$0.154655\pi$
$762$	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	−0.857011	−	0.515298i	$-0.827681\pi$
$769$	3.86042	−	11.8811i	0.139210	−	0.428445i	0.996221	+	0.0868532i	$0.0276811\pi$
$770$	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	−0.828909	−	0.559384i	$-0.811038\pi$
$773$	−1.13315	+	1.55965i	−0.0407566	+	0.0560966i	0.788152	+	0.615480i	$0.211038\pi$
$774$	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	0.788152	−	0.615481i	$-0.211038\pi$
$787$	−1.14340	−	1.57375i	−0.0407577	−	0.0560982i	−0.828909	+	0.559383i	$0.811038\pi$
$788$	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	0.264963	−	0.964259i	$-0.414640\pi$
$797$	29.5326	−	9.59573i	1.04610	−	0.339898i	0.781136	+	0.624361i	$0.214640\pi$
$798$	−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	0.993456	−	0.114215i	$-0.0364353\pi$
$809$	16.4354	+	22.6213i	0.577836	+	0.795323i	−0.415620	+	0.909538i	$0.636435\pi$
$810$	−6.99338	−	27.5879i	−0.245722	−	0.969340i
$811$	15.2862	+	11.1061i	0.536771	+	0.389987i	0.822884	−	0.568209i	$-0.192363\pi$
$811$	15.2862	+	11.1061i	0.536771	+	0.389987i	−0.286114	+	0.958196i	$0.592363\pi$
$812$	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	0.966474	−	0.256766i	$-0.0826570\pi$
$821$	0.964368	+	2.96802i	0.0336567	+	0.103585i	−0.932817	+	0.360351i	$0.882657\pi$
$822$	0.448259	+	9.80665i	0.0156348	+	0.342046i
$823$	−20.6324	−	14.9903i	−0.719200	−	0.522530i	0.166928	−	0.985969i	$-0.446615\pi$
$823$	−20.6324	−	14.9903i	−0.719200	−	0.522530i	−0.886129	+	0.463439i	$0.846615\pi$
$824$	−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	0.632643	−	0.774444i	$-0.281970\pi$
$827$	2.63420	+	1.91386i	0.0916002	+	0.0665514i	−0.541042	+	0.840995i	$0.681970\pi$
$828$	−33.2395	−	7.53089i	−1.15515	−	0.261717i
$829$	−29.2900	+	9.51689i	−1.01728	+	0.330535i	−0.769751	−	0.638344i	$-0.779620\pi$
$829$	−29.2900	+	9.51689i	−1.01728	+	0.330535i	−0.247532	+	0.968880i	$0.579620\pi$
$830$	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	0.524991	−	0.851108i	$-0.324069\pi$
$839$	−3.54046	−	2.57230i	−0.122230	−	0.0888056i	−0.647221	+	0.762303i	$0.724069\pi$
$840$	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	−0.925405	−	0.378979i	$-0.876275\pi$
$853$	−11.6677	−	35.9095i	−0.399495	−	1.22952i	0.525910	−	0.850540i	$-0.323725\pi$
$854$	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	−0.894416	−	0.447236i	$-0.852408\pi$
$859$	−21.8484	+	15.8738i	−0.745459	+	0.541608i	0.148957	+	0.988844i	$0.452408\pi$
$860$	−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	0.702203	−	0.711977i	$-0.252200\pi$
$863$	−5.63799	−	7.76003i	−0.191919	−	0.264154i	−0.894123	+	0.447822i	$0.852200\pi$
$864$	−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	0.818596	−	0.574370i	$-0.194753\pi$
$877$	15.5563	+	11.3023i	0.525298	+	0.381651i	−0.293298	+	0.956021i	$0.594753\pi$
$878$	−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	0.380677	−	0.924708i	$-0.375691\pi$
$881$	4.30747	+	1.39958i	0.145122	+	0.0471531i	−0.235555	+	0.971861i	$0.575691\pi$
$882$	45.8177	−	27.5018i	1.54276	−	0.926033i
$883$	11.0691	+	3.59655i	0.372503	+	0.121034i	0.489285	−	0.872124i	$-0.337258\pi$
$883$	11.0691	+	3.59655i	0.372503	+	0.121034i	−0.116782	+	0.993158i	$0.537258\pi$
$884$	−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	0.439795	−	0.898098i	$-0.355051\pi$
$887$	−16.3879	−	22.5560i	−0.550251	−	0.757356i	−0.990046	+	0.140742i	$0.955051\pi$
$888$	−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	$-0.855455\pi$
$907$		−	26.4215i		−	0.877310i	0.898655	−	0.438655i	$-0.144545\pi$
$908$	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	0.577201	−	0.816602i	$-0.304145\pi$
$911$	−0.635898	−	0.462007i	−0.0210683	−	0.0153070i	−0.598270	+	0.801295i	$0.704145\pi$
$912$	−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	0.912356	−	0.409398i	$-0.134261\pi$
$919$	42.7390	+	13.8867i	1.40983	+	0.458081i	0.497473	+	0.867479i	$0.334261\pi$
$920$	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	−0.565385	−	0.824827i	$-0.691273\pi$
$929$	−16.3971	+	5.32773i	−0.537971	+	0.174797i	0.0274147	+	0.999624i	$0.491273\pi$
$930$	−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	−0.990656	−	0.136386i	$-0.956451\pi$
$937$	−24.9242	−	34.3052i	−0.814237	−	1.12070i	0.176419	−	0.984315i	$-0.443549\pi$
$938$	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	−0.795811	−	0.605545i	$-0.792955\pi$
$941$	−14.2894	+	10.3819i	−0.465823	+	0.338440i	0.329988	+	0.943985i	$0.392955\pi$
$942$	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	0.991108	−	0.133064i	$-0.0424815\pi$
$947$	3.41806	+	10.5197i	0.111072	+	0.341844i	−0.880036	+	0.474908i	$0.842481\pi$
$948$	−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	0.815557	+	0.578677i	$0.196431\pi$
$953$	15.3086	+	47.1151i	0.495895	+	1.52621i	−0.319662	+	0.947532i	$0.603569\pi$
$954$	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	−0.851230	−	0.524793i	$-0.824143\pi$
$967$	4.53684	−	13.9630i	0.145895	−	0.449018i	0.997125	+	0.0757743i	$0.0241428\pi$
$968$	−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	0.00876235	−	0.999962i	$-0.497211\pi$
$971$	18.8091	−	6.11146i	0.603614	−	0.196126i	0.594852	+	0.803836i	$0.297211\pi$
$972$	−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	0.822366	−	0.568959i	$-0.192654\pi$
$977$	16.7343	+	12.1582i	0.535379	+	0.388975i	−0.286987	+	0.957934i	$0.592654\pi$
$978$	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	0.737629	−	0.675206i	$-0.235945\pi$
$983$	29.3935	+	9.55053i	0.937508	+	0.304615i	0.199878	+	0.979821i	$0.435945\pi$
$984$	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	0.423220	−	0.906027i	$-0.360900\pi$
$991$	−17.9199	−	24.6647i	−0.569245	−	0.783499i	−0.992465	+	0.122528i	$0.960900\pi$
$992$	−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	−0.998010	−	0.0630621i	$-0.979913\pi$
$997$	−7.18874	−	22.1247i	−0.227670	−	0.700696i	0.770340	−	0.637634i	$-0.220087\pi$
$998$	−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.59.64	yes	464
3.2	odd	2	inner	600.2.bk.a.59.53	yes	464
8.3	odd	2	inner	600.2.bk.a.59.15	✓	464
24.11	even	2	inner	600.2.bk.a.59.102	yes	464
25.14	even	10	inner	600.2.bk.a.539.102	yes	464
75.14	odd	10	inner	600.2.bk.a.539.15	yes	464
200.139	odd	10	inner	600.2.bk.a.539.53	yes	464
600.539	even	10	inner	600.2.bk.a.539.64	yes	464

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
600.2.bk.a.59.15	✓	464	8.3	odd	2	inner
600.2.bk.a.59.53	yes	464	3.2	odd	2	inner
600.2.bk.a.59.64	yes	464	1.1	even	1	trivial
600.2.bk.a.59.102	yes	464	24.11	even	2	inner
600.2.bk.a.539.15	yes	464	75.14	odd	10	inner
600.2.bk.a.539.53	yes	464	200.139	odd	10	inner
600.2.bk.a.539.64	yes	464	600.539	even	10	inner
600.2.bk.a.539.102	yes	464	25.14	even	10	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

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