LMFDB - Embedded newform 296.2.bj.a.131.25

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [296,2,Mod(19,296)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(296, base_ring=CyclotomicField(36)) chi = DirichletCharacter(H, H._module([18, 18, 35])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("296.19"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 296 = 2^{3} \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	296.bj (of order $36$, degree $12$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.36357189983$
Analytic rank:	$0$
Dimension:	$432$
Relative dimension:	$36$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			131.25
Character	$\chi$	$=$	296.131
Dual form			296.2.bj.a.235.25

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.596794 + 1.28212i) q^{2} +(1.21881 + 0.214910i) q^{3} +(-1.28767 + 1.53033i) q^{4} +(0.0215124 + 0.245888i) q^{5} +(0.451840 + 1.69092i) q^{6} +(-3.26221 + 3.88776i) q^{7} +(-2.73054 - 0.737667i) q^{8} +(-1.37976 - 0.502191i) q^{9} +(-0.302420 + 0.174326i) q^{10} +(0.888432 - 0.512936i) q^{11} +(-1.89832 + 1.58845i) q^{12} +(3.93202 + 1.83353i) q^{13} +(-6.93145 - 1.86237i) q^{14} +(-0.0266241 + 0.304315i) q^{15} +(-0.683790 - 3.94112i) q^{16} +(3.52417 - 1.64335i) q^{17} +(-0.179561 - 2.06872i) q^{18} +(2.86193 + 4.08726i) q^{19} +(-0.403989 - 0.283702i) q^{20} +(-4.81155 + 4.03737i) q^{21} +(1.18786 + 0.832961i) q^{22} +(8.19443 - 2.19569i) q^{23} +(-3.16949 - 1.48590i) q^{24} +(4.86404 - 0.857662i) q^{25} +(-0.00420559 + 6.13556i) q^{26} +(-4.78916 - 2.76502i) q^{27} +(-1.74886 - 9.99841i) q^{28} +(-3.80098 - 1.01847i) q^{29} +(-0.406058 + 0.147478i) q^{30} +(-1.92692 + 1.92692i) q^{31} +(4.64492 - 3.22874i) q^{32} +(1.19307 - 0.434241i) q^{33} +(4.21018 + 3.53768i) q^{34} +(-1.02613 - 0.718504i) q^{35} +(2.54519 - 1.46482i) q^{36} +(-5.22054 - 3.12185i) q^{37} +(-3.53239 + 6.10860i) q^{38} +(4.39835 + 3.07976i) q^{39} +(0.122643 - 0.687275i) q^{40} +(0.744888 + 2.04656i) q^{41} +(-8.04790 - 3.75952i) q^{42} +(1.95113 - 1.95113i) q^{43} +(-0.359051 + 2.02008i) q^{44} +(0.0938006 - 0.350069i) q^{45} +(7.70553 + 9.19589i) q^{46} +(-4.92576 - 2.84389i) q^{47} +(0.0135731 - 4.95045i) q^{48} +(-3.25707 - 18.4717i) q^{49} +(4.00246 + 5.72445i) q^{50} +(4.64848 - 1.24556i) q^{51} +(-7.86905 + 3.65627i) q^{52} +(-2.47194 - 2.94595i) q^{53} +(0.686956 - 7.79044i) q^{54} +(0.145237 + 0.207420i) q^{55} +(11.7755 - 8.20924i) q^{56} +(2.60977 + 5.59667i) q^{57} +(-0.962599 - 5.48114i) q^{58} +(-1.19533 + 13.6627i) q^{59} +(-0.431417 - 0.432602i) q^{60} +(2.54604 - 5.45999i) q^{61} +(-3.62052 - 1.32057i) q^{62} +(6.45346 - 3.72591i) q^{63} +(6.91169 + 4.02846i) q^{64} +(-0.366255 + 1.00628i) q^{65} +(1.26877 + 1.27051i) q^{66} +(-8.49382 + 10.1225i) q^{67} +(-2.02313 + 7.50923i) q^{68} +(10.4594 - 0.915076i) q^{69} +(0.308822 - 1.74442i) q^{70} +(11.2170 + 1.97786i) q^{71} +(3.39703 + 2.38905i) q^{72} +3.60059i q^{73} +(0.887000 - 8.55647i) q^{74} +6.11268 q^{75} +(-9.94008 - 0.883377i) q^{76} +(-0.904084 + 5.12731i) q^{77} +(-1.32372 + 7.47720i) q^{78} +(-0.141104 - 1.61283i) q^{79} +(0.954363 - 0.252918i) q^{80} +(-1.86850 - 1.56786i) q^{81} +(-2.17940 + 2.17641i) q^{82} +(-2.99909 - 1.09158i) q^{83} +(0.0172212 - 12.5621i) q^{84} +(0.479893 + 0.831198i) q^{85} +(3.66600 + 1.33716i) q^{86} +(-4.41381 - 2.05819i) q^{87} +(-2.80427 + 0.745226i) q^{88} +(3.19049 + 0.279132i) q^{89} +(0.504810 - 0.0886550i) q^{90} +(-19.9554 + 9.30535i) q^{91} +(-7.19164 + 15.3675i) q^{92} +(-2.76267 + 1.93444i) q^{93} +(0.706550 - 8.01264i) q^{94} +(-0.943441 + 0.791641i) q^{95} +(6.35518 - 2.93699i) q^{96} +(-3.74977 - 13.9943i) q^{97} +(21.7392 - 15.1998i) q^{98} +(-1.48341 + 0.261565i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 432 q - 12 q^{2} - 24 q^{3} - 18 q^{4} - 12 q^{6} - 6 q^{8} - 24 q^{9} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{14} + 18 q^{16} - 24 q^{17} - 42 q^{18} - 24 q^{19} - 12 q^{20} - 24 q^{22} - 84 q^{24}+ \cdots - 132 q^{99}+O(q^{100}) $ 432 * q - 12 * q^2 - 24 * q^3 - 18 * q^4 - 12 * q^6 - 6 * q^8 - 24 * q^9 - 6 * q^10 - 36 * q^11 - 12 * q^12 - 12 * q^14 + 18 * q^16 - 24 * q^17 - 42 * q^18 - 24 * q^19 - 12 * q^20 - 24 * q^22 - 84 * q^24 - 12 * q^25 - 6 * q^26 - 36 * q^27 - 12 * q^28 - 36 * q^30 - 42 * q^32 - 60 * q^33 - 12 * q^34 - 24 * q^35 + 60 * q^38 - 12 * q^40 - 24 * q^41 - 12 * q^42 - 6 * q^44 + 48 * q^46 - 18 * q^48 + 24 * q^49 - 42 * q^50 + 96 * q^51 - 42 * q^52 - 72 * q^54 - 12 * q^56 - 24 * q^57 + 48 * q^58 - 24 * q^59 + 144 * q^60 - 72 * q^62 + 108 * q^64 - 84 * q^65 - 168 * q^66 - 24 * q^67 - 18 * q^68 - 186 * q^70 + 234 * q^72 - 150 * q^74 - 48 * q^75 + 42 * q^76 - 222 * q^78 + 120 * q^80 - 60 * q^81 - 24 * q^82 - 24 * q^83 + 126 * q^84 - 54 * q^86 - 24 * q^89 + 72 * q^90 - 24 * q^91 + 114 * q^92 - 24 * q^94 + 72 * q^96 - 24 * q^97 - 114 * q^98 - 132 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/296\mathbb{Z}\right)^\times$.

$n$	$113$	$149$	$223$
$\chi(n)$	$e\left(\frac{25}{36}\right)$	$-1$	$-1$

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 $

$2$	0.596794	+	1.28212i	0.421997	+	0.906597i
$2$	0.596794	+	1.28212i	0.421997	+	0.906597i
$3$	1.21881	+	0.214910i	0.703682	+	0.124078i	0.514029	−	0.857773i	$-0.328152\pi$
$3$	1.21881	+	0.214910i	0.703682	+	0.124078i	0.189654	+	0.981851i	$0.439264\pi$
$4$	−1.28767	+	1.53033i	−0.643837	+	0.765163i
$5$	0.0215124	+	0.245888i	0.00962063	+	0.109964i	0.999487	−	0.0320407i	$-0.0102006\pi$
$5$	0.0215124	+	0.245888i	0.00962063	+	0.109964i	−0.989866	+	0.142005i	$0.954645\pi$
$6$	0.451840	+	1.69092i	0.184463	+	0.690317i
$7$	−3.26221	+	3.88776i	−1.23300	+	1.46943i	−0.399671	+	0.916659i	$0.630876\pi$
$7$	−3.26221	+	3.88776i	−1.23300	+	1.46943i	−0.833330	+	0.552775i	$0.813569\pi$
$8$	−2.73054	−	0.737667i	−0.965392	−	0.260805i
$9$	−1.37976	−	0.502191i	−0.459919	−	0.167397i
$10$	−0.302420	+	0.174326i	−0.0956335	+	0.0551267i
$11$	0.888432	−	0.512936i	0.267872	−	0.154656i	−0.360048	−	0.932934i	$-0.617240\pi$
$11$	0.888432	−	0.512936i	0.267872	−	0.154656i	0.627920	+	0.778278i	$0.283906\pi$
$12$	−1.89832	+	1.58845i	−0.547997	+	0.458545i
$13$	3.93202	+	1.83353i	1.09054	+	0.508529i	0.882846	−	0.469663i	$-0.155625\pi$
$13$	3.93202	+	1.83353i	1.09054	+	0.508529i	0.207699	+	0.978193i	$0.433402\pi$
$14$	−6.93145	−	1.86237i	−1.85251	−	0.497739i
$15$	−0.0266241	+	0.304315i	−0.00687431	+	0.0785737i
$16$	−0.683790	−	3.94112i	−0.170947	−	0.985280i
$17$	3.52417	−	1.64335i	0.854737	−	0.398570i	0.0546870	−	0.998504i	$-0.482584\pi$
$17$	3.52417	−	1.64335i	0.854737	−	0.398570i	0.800050	+	0.599933i	$0.204806\pi$
$18$	−0.179561	−	2.06872i	−0.0423229	−	0.487602i
$19$	2.86193	+	4.08726i	0.656572	+	0.937682i	0.999999	−	0.00149710i	$-0.000476541\pi$
$19$	2.86193	+	4.08726i	0.656572	+	0.937682i	−0.343427	+	0.939180i	$0.611588\pi$
$20$	−0.403989	−	0.283702i	−0.0903347	−	0.0634378i
$21$	−4.81155	+	4.03737i	−1.04997	+	0.881026i
$22$	1.18786	+	0.832961i	0.253252	+	0.177588i
$23$	8.19443	−	2.19569i	1.70866	−	0.457833i	0.733563	−	0.679622i	$-0.237856\pi$
$23$	8.19443	−	2.19569i	1.70866	−	0.457833i	0.975095	+	0.221788i	$0.0711894\pi$
$24$	−3.16949	−	1.48590i	−0.646969	−	0.303308i
$25$	4.86404	−	0.857662i	0.972808	−	0.171532i
$26$	−0.00420559	+	6.13556i	−0.000824784	+	1.20328i
$27$	−4.78916	−	2.76502i	−0.921675	−	0.532129i
$28$	−1.74886	−	9.99841i	−0.330504	−	1.88952i
$29$	−3.80098	−	1.01847i	−0.705824	−	0.189125i	−0.111986	−	0.993710i	$-0.535721\pi$
$29$	−3.80098	−	1.01847i	−0.705824	−	0.189125i	−0.593838	+	0.804585i	$0.702388\pi$
$30$	−0.406058	+	0.147478i	−0.0741356	+	0.0269256i
$31$	−1.92692	+	1.92692i	−0.346085	+	0.346085i	−0.858649	−	0.512564i	$-0.828696\pi$
$31$	−1.92692	+	1.92692i	−0.346085	+	0.346085i	0.512564	+	0.858649i	$0.328696\pi$
$32$	4.64492	−	3.22874i	0.821113	−	0.570766i
$33$	1.19307	−	0.434241i	0.207686	−	0.0755917i
$34$	4.21018	+	3.53768i	0.722039	+	0.606707i
$35$	−1.02613	−	0.718504i	−0.173448	−	0.121449i
$36$	2.54519	−	1.46482i	0.424199	−	0.244137i
$37$	−5.22054	−	3.12185i	−0.858252	−	0.513228i
$37$	−5.22054	−	3.12185i	−0.858252	−	0.513228i
$38$	−3.53239	+	6.10860i	−0.573029	+	0.990946i
$39$	4.39835	+	3.07976i	0.704300	+	0.493156i
$40$	0.122643	−	0.687275i	0.0193915	−	0.108668i
$41$	0.744888	+	2.04656i	0.116332	+	0.319620i	0.984170	−	0.177228i	$-0.0567130\pi$
$41$	0.744888	+	2.04656i	0.116332	+	0.319620i	−0.867838	+	0.496848i	$0.834491\pi$
$42$	−8.04790	−	3.75952i	−1.24182	−	0.580106i
$43$	1.95113	−	1.95113i	0.297544	−	0.297544i	−0.542507	−	0.840051i	$-0.682525\pi$
$43$	1.95113	−	1.95113i	0.297544	−	0.297544i	0.840051	+	0.542507i	$0.182525\pi$
$44$	−0.359051	+	2.02008i	−0.0541290	+	0.304539i
$45$	0.0938006	−	0.350069i	0.0139830	−	0.0521852i
$46$	7.70553	+	9.19589i	1.13612	+	1.35586i
$47$	−4.92576	−	2.84389i	−0.718496	−	0.414824i	0.0957027	−	0.995410i	$-0.469490\pi$
$47$	−4.92576	−	2.84389i	−0.718496	−	0.414824i	−0.814199	+	0.580586i	$0.802824\pi$
$48$	0.0135731	−	4.95045i	0.00195910	−	0.714535i
$49$	−3.25707	−	18.4717i	−0.465295	−	2.63882i
$50$	4.00246	+	5.72445i	0.566033	+	0.809559i
$51$	4.64848	−	1.24556i	0.650917	−	0.174413i
$52$	−7.86905	+	3.65627i	−1.09124	+	0.507034i
$53$	−2.47194	−	2.94595i	−0.339547	−	0.404657i	0.569068	−	0.822290i	$-0.307304\pi$
$53$	−2.47194	−	2.94595i	−0.339547	−	0.404657i	−0.908616	+	0.417634i	$0.862860\pi$
$54$	0.686956	−	7.79044i	0.0934829	−	1.06014i
$55$	0.145237	+	0.207420i	0.0195838	+	0.0279685i
$56$	11.7755	−	8.20924i	1.57356	−	1.09701i
$57$	2.60977	+	5.59667i	0.345672	+	0.741297i
$58$	−0.962599	−	5.48114i	−0.126395	−	0.719709i
$59$	−1.19533	+	13.6627i	−0.155619	+	1.77873i	0.371005	+	0.928631i	$0.379013\pi$
$59$	−1.19533	+	13.6627i	−0.155619	+	1.77873i	−0.526624	+	0.850098i	$0.676542\pi$
$60$	−0.431417	−	0.432602i	−0.0556957	−	0.0558486i
$61$	2.54604	−	5.45999i	0.325987	−	0.699081i	−0.673198	−	0.739463i	$-0.735080\pi$
$61$	2.54604	−	5.45999i	0.325987	−	0.699081i	0.999184	+	0.0403820i	$0.0128575\pi$
$62$	−3.62052	−	1.32057i	−0.459807	−	0.167713i
$63$	6.45346	−	3.72591i	0.813059	−	0.469420i
$64$	6.91169	+	4.02846i	0.863962	+	0.503557i
$65$	−0.366255	+	1.00628i	−0.0454284	+	0.124813i
$66$	1.26877	+	1.27051i	0.156174	+	0.156388i
$67$	−8.49382	+	10.1225i	−1.03769	+	1.23667i	−0.0666380	+	0.997777i	$0.521227\pi$
$67$	−8.49382	+	10.1225i	−1.03769	+	1.23667i	−0.971047	+	0.238888i	$0.923217\pi$
$68$	−2.02313	+	7.50923i	−0.245340	+	0.910627i
$69$	10.4594	−	0.915076i	1.25916	−	0.110162i
$70$	0.308822	−	1.74442i	0.0369113	−	0.208498i
$71$	11.2170	+	1.97786i	1.33122	+	0.234729i	0.793589	−	0.608454i	$-0.208210\pi$
$71$	11.2170	+	1.97786i	1.33122	+	0.234729i	0.537627	+	0.843183i	$0.319321\pi$
$72$	3.39703	+	2.38905i	0.400344	+	0.281553i
$73$			3.60059i			0.421417i	0.977549	+	0.210708i	$0.0675771\pi$
$73$			3.60059i			0.421417i	−0.977549	+	0.210708i	$0.932423\pi$
$74$	0.887000	−	8.55647i	0.103112	−	0.994670i
$75$	6.11268			0.705831
$76$	−9.94008	−	0.883377i	−1.14021	−	0.101330i
$77$	−0.904084	+	5.12731i	−0.103030	+	0.584312i
$78$	−1.32372	+	7.47720i	−0.149882	+	0.846627i
$79$	−0.141104	−	1.61283i	−0.0158755	−	0.181457i	−0.999992	−	0.00393519i	$-0.998747\pi$
$79$	−0.141104	−	1.61283i	−0.0158755	−	0.181457i	0.984117	−	0.177522i	$-0.0568082\pi$
$80$	0.954363	−	0.252918i	0.106701	−	0.0282771i
$81$	−1.86850	−	1.56786i	−0.207611	−	0.174206i
$82$	−2.17940	+	2.17641i	−0.240674	+	0.240345i
$83$	−2.99909	−	1.09158i	−0.329193	−	0.119816i	0.172136	−	0.985073i	$-0.444933\pi$
$83$	−2.99909	−	1.09158i	−0.329193	−	0.119816i	−0.501329	+	0.865257i	$0.667155\pi$
$84$	0.0172212	−	12.5621i	0.00187899	−	1.37063i
$85$	0.479893	+	0.831198i	0.0520517	+	0.0901561i
$86$	3.66600	+	1.33716i	0.395315	+	0.144190i
$87$	−4.41381	−	2.05819i	−0.473210	−	0.220661i
$88$	−2.80427	+	0.745226i	−0.298937	+	0.0794413i
$89$	3.19049	+	0.279132i	0.338191	+	0.0295879i	0.254987	−	0.966945i	$-0.417929\pi$
$89$	3.19049	+	0.279132i	0.338191	+	0.0295879i	0.0832046	+	0.996532i	$0.473484\pi$
$90$	0.504810	−	0.0886550i	0.0532117	−	0.00934505i
$91$	−19.9554	+	9.30535i	−2.09189	+	0.975466i
$92$	−7.19164	+	15.3675i	−0.749780	+	1.60217i
$93$	−2.76267	+	1.93444i	−0.286476	+	0.200592i
$94$	0.706550	−	8.01264i	0.0728751	−	0.826441i
$95$	−0.943441	+	0.791641i	−0.0967950	+	0.0812206i
$96$	6.35518	−	2.93699i	0.648622	−	0.299756i
$97$	−3.74977	−	13.9943i	−0.380731	−	1.42091i	−0.844787	−	0.535103i	$-0.820273\pi$
$97$	−3.74977	−	13.9943i	−0.380731	−	1.42091i	0.464056	−	0.885806i	$-0.346394\pi$
$98$	21.7392	−	15.1998i	2.19599	−	1.53541i
$99$	−1.48341	+	0.261565i	−0.149088	+	0.0262883i
$100$	−4.95080	+	8.54795i	−0.495080	+	0.854795i
$101$	5.72116	−	9.90935i	0.569277	−	0.986017i	−0.427361	−	0.904081i	$-0.640556\pi$
$101$	5.72116	−	9.90935i	0.569277	−	0.986017i	0.996638	−	0.0819356i	$-0.0261102\pi$
$102$	4.37114	+	5.21658i	0.432807	+	0.516518i
$103$	1.34890	+	0.361438i	0.132911	+	0.0356135i	0.324661	−	0.945830i	$-0.394750\pi$
$103$	1.34890	+	0.361438i	0.132911	+	0.0356135i	−0.191750	+	0.981444i	$0.561416\pi$
$104$	−9.38399	−	7.90704i	−0.920176	−	0.775349i
$105$	−1.09625	−	1.09625i	−0.106983	−	0.106983i
$106$	2.30182	−	4.92745i	0.223573	−	0.478597i
$107$	13.0449	−	4.74795i	1.26110	−	0.459002i	0.376960	−	0.926230i	$-0.376970\pi$
$107$	13.0449	−	4.74795i	1.26110	−	0.459002i	0.884137	+	0.467228i	$0.154747\pi$
$108$	10.3983	−	3.76852i	1.00057	−	0.362626i
$109$	2.36524	−	3.37792i	0.226549	−	0.323546i	−0.689744	−	0.724053i	$-0.742277\pi$
$109$	2.36524	−	3.37792i	0.226549	−	0.323546i	0.916294	+	0.400507i	$0.131166\pi$
$110$	−0.179261	+	0.309999i	−0.0170919	+	0.0295572i
$111$	−5.69195	−	4.92690i	−0.540256	−	0.467640i
$112$	17.5528	+	10.1984i	1.65858	+	0.963656i
$113$	4.77038	−	6.81281i	0.448760	−	0.640896i	−0.529492	−	0.848315i	$-0.677617\pi$
$113$	4.77038	−	6.81281i	0.448760	−	0.640896i	0.978252	+	0.207419i	$0.0665064\pi$
$114$	−5.61812	+	6.68610i	−0.526185	+	0.626211i
$115$	0.716176	+	1.96768i	0.0667837	+	0.183487i
$116$	6.45302	−	4.50528i	0.599147	−	0.418305i
$117$	−4.50445	−	4.50445i	−0.416436	−	0.416436i
$118$	−18.2306	+	6.62124i	−1.67826	+	0.609535i
$119$	−5.10767	+	19.0621i	−0.468219	+	1.74742i
$120$	0.297181	−	0.811303i	0.0271288	−	0.0740615i
$121$	−4.97379	+	8.61486i	−0.452163	+	0.783169i
$122$	8.51984	+	0.00583988i	0.771350	+	0.000528718i
$123$	0.468054	+	2.65446i	0.0422030	+	0.239345i
$124$	−0.467569	−	5.43006i	−0.0419889	−	0.487634i
$125$	0.634943	+	2.36964i	0.0567911	+	0.211947i
$126$	8.62845	+	6.05052i	0.768683	+	0.539024i
$127$	−3.87604	−	4.61929i	−0.343943	−	0.409895i	0.566148	−	0.824304i	$-0.308433\pi$
$127$	−3.87604	−	4.61929i	−0.343943	−	0.409895i	−0.910091	+	0.414408i	$0.863989\pi$
$128$	−1.04012	+	11.2658i	−0.0919346	+	0.995765i
$129$	2.79737	−	1.95874i	0.246295	−	0.172458i
$130$	−1.50875	+	0.130957i	−0.132326	+	0.0114856i
$131$	1.90745	+	4.09054i	0.166655	+	0.357392i	0.971844	−	0.235626i	$-0.0757140\pi$
$131$	1.90745	+	4.09054i	0.166655	+	0.357392i	−0.805189	+	0.593018i	$0.797936\pi$
$132$	−0.871753	+	2.38494i	−0.0758763	+	0.207583i
$133$	−25.2265	−	2.20703i	−2.18742	−	0.191374i
$134$	−18.0474	−	4.84904i	−1.55906	−	0.418894i
$135$	0.576859	−	1.23708i	0.0496481	−	0.106471i
$136$	−10.8351	+	1.88756i	−0.929105	+	0.161857i
$137$	−6.40258	−	11.0896i	−0.547010	−	0.947448i	−0.998477	−	0.0551610i	$-0.982433\pi$
$137$	−6.40258	−	11.0896i	−0.547010	−	0.947448i	0.451468	−	0.892287i	$-0.350901\pi$
$138$	7.41532	+	12.8641i	0.631234	+	1.09506i
$139$	0.815368	−	2.24020i	0.0691586	−	0.190012i	−0.900298	−	0.435273i	$-0.856652\pi$
$139$	0.815368	−	2.24020i	0.0691586	−	0.190012i	0.969457	+	0.245262i	$0.0788739\pi$
$140$	2.42087	−	0.645113i	0.204600	−	0.0545220i
$141$	−5.39241	−	4.52477i	−0.454123	−	0.381054i
$142$	4.15839	+	15.5620i	0.348964	+	1.30593i
$143$	4.43381	−	0.387908i	0.370774	−	0.0324385i
$144$	−1.03573	+	5.78118i	−0.0863108	+	0.481765i
$145$	0.168661	−	0.956524i	0.0140065	−	0.0794350i
$146$	−4.61639	+	2.14881i	−0.382055	+	0.177837i
$147$		−	23.2136i		−	1.91462i
$148$	11.4998	−	3.96921i	0.945278	−	0.326267i
$149$			12.0144i			0.984258i	0.870522	+	0.492129i	$0.163781\pi$
$149$			12.0144i			0.984258i	−0.870522	+	0.492129i	$0.836219\pi$
$150$	3.64801	+	7.83720i	0.297859	+	0.639905i
$151$	2.79928	−	15.8755i	0.227802	−	1.29193i	−0.629453	−	0.777039i	$-0.716721\pi$
$151$	2.79928	−	15.8755i	0.227802	−	1.29193i	0.857255	−	0.514892i	$-0.172168\pi$
$152$	−4.79958	−	13.2716i	−0.389297	−	1.07647i
$153$	−5.68777	+	0.497616i	−0.459829	+	0.0402299i
$154$	−7.11339	+	1.90080i	−0.573214	+	0.153171i
$155$	−0.515259	−	0.432353i	−0.0413866	−	0.0347275i
$156$	−10.3767	+	2.76518i	−0.830799	+	0.221392i
$157$	−5.08555	+	13.9724i	−0.405871	+	1.11512i	0.553470	+	0.832869i	$0.313303\pi$
$157$	−5.08555	+	13.9724i	−0.405871	+	1.11512i	−0.959340	+	0.282251i	$0.908919\pi$
$158$	1.98363	−	1.14344i	0.157809	−	0.0909671i
$159$	−2.37972	−	4.12180i	−0.188724	−	0.326880i
$160$	0.893830	+	1.07267i	0.0706635	+	0.0848020i
$161$	−18.1957	+	39.0208i	−1.43402	+	3.07527i
$162$	0.895076	−	3.33133i	0.0703238	−	0.261734i
$163$	−19.3974	−	1.69706i	−1.51932	−	0.132924i	−0.703280	−	0.710913i	$-0.748282\pi$
$163$	−19.3974	−	1.69706i	−1.51932	−	0.132924i	−0.816045	+	0.577989i	$0.803838\pi$
$164$	−4.09108	−	1.49539i	−0.319460	−	0.116770i
$165$	0.132440	+	0.284019i	0.0103105	+	0.0221109i
$166$	−0.390300	−	4.49665i	−0.0302932	−	0.349008i
$167$	3.58868	−	2.51282i	0.277700	−	0.194448i	−0.426426	−	0.904522i	$-0.640228\pi$
$167$	3.58868	−	2.51282i	0.277700	−	0.194448i	0.704127	+	0.710074i	$0.251339\pi$
$168$	16.1164	−	7.47487i	1.24340	−	0.576699i
$169$	3.74268	+	4.46035i	0.287898	+	0.343104i
$170$	−0.779301	+	1.11133i	−0.0597696	+	0.0852355i
$171$	−1.89619	−	7.07667i	−0.145005	−	0.541166i
$172$	0.473442	+	5.49827i	0.0360996	+	0.419239i
$173$	1.88332	+	10.6809i	0.143186	+	0.812050i	0.968805	+	0.247822i	$0.0797150\pi$
$173$	1.88332	+	10.6809i	0.143186	+	0.812050i	−0.825619	+	0.564228i	$0.809174\pi$
$174$	0.00472091	−	6.88736i	0.000357891	−	0.522129i
$175$	−12.5332	+	21.7081i	−0.947418	+	1.64098i
$176$	−2.62904	−	3.15068i	−0.198172	−	0.237491i
$177$	−4.39313	+	16.3954i	−0.330208	+	1.23235i
$178$	1.54618	+	4.25718i	0.115891	+	0.319089i
$179$	−6.87333	−	6.87333i	−0.513737	−	0.513737i	0.401932	−	0.915669i	$-0.368339\pi$
$179$	−6.87333	−	6.87333i	−0.513737	−	0.513737i	−0.915669	+	0.401932i	$0.868339\pi$
$180$	0.414934	+	0.594320i	0.0309274	+	0.0442980i
$181$	−2.39497	−	6.58012i	−0.178017	−	0.489097i	0.818306	−	0.574784i	$-0.194914\pi$
$181$	−2.39497	−	6.58012i	−0.178017	−	0.489097i	−0.996322	+	0.0856869i	$0.972692\pi$
$182$	−23.8399	−	20.0319i	−1.76713	−	1.48486i
$183$	4.27655	−	6.10755i	0.316132	−	0.451483i
$184$	−23.9949	−	0.0493417i	−1.76893	−	0.00363752i
$185$	0.655317	−	1.35083i	0.0481799	−	0.0993147i
$186$	−4.12894	−	2.38762i	−0.302748	−	0.175069i
$187$	2.28805	−	3.26768i	0.167319	−	0.238956i
$188$	10.6949	−	3.87601i	0.780002	−	0.282687i
$189$	26.3730	−	9.59899i	1.91835	−	0.698224i
$190$	−1.57802	−	0.737160i	−0.114482	−	0.0534792i
$191$	−4.03388	−	4.03388i	−0.291881	−	0.291881i	0.545942	−	0.837823i	$-0.316172\pi$
$191$	−4.03388	−	4.03388i	−0.291881	−	0.291881i	−0.837823	+	0.545942i	$0.816172\pi$
$192$	7.55831	+	6.39533i	0.545474	+	0.461543i
$193$	11.0317	+	2.95593i	0.794079	+	0.212773i	0.632983	−	0.774166i	$-0.281830\pi$
$193$	11.0317	+	2.95593i	0.794079	+	0.212773i	0.161096	+	0.986939i	$0.448497\pi$
$194$	15.7046	−	13.1594i	1.12752	−	0.944789i
$195$	−0.662656	+	1.14775i	−0.0474538	+	0.0821923i
$196$	32.4618	+	18.8012i	2.31870	+	1.34294i
$197$	−2.71659	+	0.479008i	−0.193549	+	0.0341279i	−0.269582	−	0.962977i	$-0.586886\pi$
$197$	−2.71659	+	0.479008i	−0.193549	+	0.0341279i	0.0760332	+	0.997105i	$0.475774\pi$
$198$	−1.22065	−	1.74581i	−0.0867478	−	0.124070i
$199$	0.372555	+	1.39040i	0.0264098	+	0.0985625i	0.977873	−	0.209201i	$-0.0670862\pi$
$199$	0.372555	+	1.39040i	0.0264098	+	0.0985625i	−0.951463	+	0.307763i	$0.900420\pi$
$200$	−13.9141	−	1.24616i	−0.983877	−	0.0881171i
$201$	−12.5278	+	10.5121i	−0.883644	+	0.741465i
$202$	16.1193	+	1.42139i	1.13415	+	0.100009i
$203$	16.3592	−	11.4548i	1.14819	−	0.803971i
$204$	−4.07962	+	8.71756i	−0.285631	+	0.610351i
$205$	−0.487201	+	0.227185i	−0.0340276	+	0.0158673i
$206$	0.341610	+	1.94516i	0.0238011	+	0.135526i
$207$	−12.4090	−	1.08565i	−0.862484	−	0.0754576i
$208$	4.53749	−	16.7503i	0.314618	−	1.16142i
$209$	4.63914	+	2.16327i	0.320896	+	0.149636i
$210$	0.751290	−	2.05976i	0.0518439	−	0.142137i
$211$	6.61218	+	11.4526i	0.455201	+	0.788432i	0.998700	−	0.0509784i	$-0.0162340\pi$
$211$	6.61218	+	11.4526i	0.455201	+	0.788432i	−0.543498	+	0.839410i	$0.682901\pi$
$212$	7.69131	+	0.0105439i	0.528241	+	0.000724161i
$213$	13.2464	+	4.82130i	0.907628	+	0.330350i
$214$	13.8726	+	13.8916i	0.948308	+	0.949609i
$215$	0.521731	+	0.437785i	0.0355818	+	0.0298567i
$216$	11.0373	+	11.0828i	0.750995	+	0.754090i
$217$	−1.20537	−	13.7774i	−0.0818257	−	0.935272i
$218$	5.74247	+	1.01661i	0.388929	+	0.0688536i
$219$	−0.773801	+	4.38844i	−0.0522886	+	0.296544i
$220$	−0.504438	−	0.0448295i	−0.0340092	−	0.00302241i
$221$	16.8702			1.13481
$222$	2.91996	−	10.2381i	0.195975	−	0.687138i
$223$		−	22.1814i		−	1.48538i	−0.669637	−	0.742688i	$-0.733550\pi$
$223$		−	22.1814i		−	1.48538i	0.669637	−	0.742688i	$-0.266450\pi$
$224$	−2.60017	+	28.5911i	−0.173731	+	1.91033i
$225$	−7.14190	−	1.25931i	−0.476127	−	0.0839540i
$226$	11.5818	+	2.05037i	0.770410	+	0.136389i
$227$	−4.85817	+	0.425035i	−0.322448	+	0.0282106i	−0.247231	−	0.968957i	$-0.579521\pi$
$227$	−4.85817	+	0.425035i	−0.322448	+	0.0282106i	−0.0752174	+	0.997167i	$0.523965\pi$
$228$	−11.9253	−	3.21289i	−0.789769	−	0.212779i
$229$	1.33320	−	1.58884i	0.0881001	−	0.104994i	−0.720193	−	0.693773i	$-0.755947\pi$
$229$	1.33320	−	1.58884i	0.0881001	−	0.104994i	0.808294	+	0.588780i	$0.200391\pi$
$230$	−2.09539	+	2.09252i	−0.138166	+	0.137977i
$231$	−2.20382	+	6.05494i	−0.145001	+	0.398386i
$232$	9.62744	+	5.58483i	0.632072	+	0.366662i
$233$	9.17439	−	5.29684i	0.601034	−	0.347007i	−0.168414	−	0.985716i	$-0.553865\pi$
$233$	9.17439	−	5.29684i	0.601034	−	0.347007i	0.769448	+	0.638709i	$0.220531\pi$
$234$	3.08702	−	8.46347i	0.201805	−	0.553275i
$235$	0.593313	−	1.27236i	0.0387035	−	0.0829998i
$236$	−19.3691	−	19.4223i	−1.26082	−	1.26429i
$237$	0.174633	−	1.99606i	0.0113436	−	0.129658i
$238$	−27.4881	+	4.82747i	−1.78179	+	0.312919i
$239$	−4.94874	−	10.6126i	−0.320107	−	0.686472i	0.678745	−	0.734374i	$-0.262524\pi$
$239$	−4.94874	−	10.6126i	−0.320107	−	0.686472i	−0.998852	+	0.0479020i	$0.984746\pi$
$240$	1.21755	−	0.103158i	0.0785922	−	0.00665885i
$241$	5.30428	+	7.57529i	0.341679	+	0.487968i	0.952812	−	0.303560i	$-0.0981752\pi$
$241$	5.30428	+	7.57529i	0.341679	+	0.487968i	−0.611134	+	0.791527i	$0.709286\pi$
$242$	−14.0136	−	1.23571i	−0.900830	−	0.0794347i
$243$	8.72353	+	10.3963i	0.559615	+	0.666923i
$244$	5.07710	+	10.9270i	0.325028	+	0.699527i
$245$	4.47191	−	1.19824i	0.285700	−	0.0765530i
$246$	−3.12402	+	2.18427i	−0.199180	+	0.139264i
$247$	3.75905	+	21.3186i	0.239182	+	1.35647i
$248$	6.68296	−	3.84011i	0.424368	−	0.243847i
$249$	−3.42074	−	1.97497i	−0.216781	−	0.125158i
$250$	−2.65924	+	2.22826i	−0.168185	+	0.140928i
$251$	5.13935	−	19.1803i	0.324393	−	1.21065i	−0.590528	−	0.807017i	$-0.701081\pi$
$251$	5.13935	−	19.1803i	0.324393	−	1.21065i	0.914921	−	0.403633i	$-0.132253\pi$
$252$	−2.60811	+	14.6736i	−0.164295	+	0.924353i
$253$	6.15394	−	6.15394i	0.386895	−	0.386895i
$254$	3.60929	−	7.72632i	0.226467	−	0.484792i
$255$	0.406267	+	1.11621i	0.0254414	+	0.0698997i
$256$	−15.0649	+	5.38979i	−0.941554	+	0.336862i
$257$	23.0599	+	16.1467i	1.43844	+	1.00720i	0.993763	+	0.111512i	$0.0355692\pi$
$257$	23.0599	+	16.1467i	1.43844	+	1.00720i	0.444674	+	0.895693i	$0.353320\pi$
$258$	4.18080	+	2.41761i	0.260285	+	0.150514i
$259$	29.1675	−	10.1121i	1.81238	−	0.628333i
$260$	−1.06831	−	1.85625i	−0.0662541	−	0.115120i
$261$	4.73296	+	3.31406i	0.292963	+	0.205135i
$262$	−4.10622	+	4.88680i	−0.253683	+	0.301907i
$263$	−12.1735	+	4.43078i	−0.750649	+	0.273214i	−0.688879	−	0.724877i	$-0.741897\pi$
$263$	−12.1735	+	4.43078i	−0.750649	+	0.273214i	−0.0617701	+	0.998090i	$0.519675\pi$
$264$	−3.57804	+	0.305626i	−0.220213	+	0.0188100i
$265$	0.671195	−	0.671195i	0.0412312	−	0.0412312i
$266$	−12.2253	−	33.6606i	−0.749584	−	2.06387i
$267$	3.82862	+	1.02588i	0.234308	+	0.0627826i
$268$	−4.55350	−	26.0328i	−0.278149	−	1.59021i
$269$	13.4670	+	7.77519i	0.821099	+	0.474062i	0.850795	−	0.525497i	$-0.176121\pi$
$269$	13.4670	+	7.77519i	0.821099	+	0.474062i	−0.0296965	+	0.999559i	$0.509454\pi$
$270$	1.93035	+	0.00132315i	0.117477	+	8.05244e-5i
$271$	−2.16146	+	0.381124i	−0.131299	+	0.0231516i	−0.238912	−	0.971041i	$-0.576791\pi$
$271$	−2.16146	+	0.381124i	−0.131299	+	0.0231516i	0.107612	+	0.994193i	$0.465679\pi$
$272$	−8.88643	−	12.7655i	−0.538819	−	0.774021i
$273$	−26.3217	+	7.05288i	−1.59306	+	0.426860i
$274$	10.3972	−	14.8271i	0.628118	−	0.895738i
$275$	3.88144	−	3.25692i	0.234060	−	0.196399i
$276$	−12.0679	+	17.1845i	−0.726402	+	1.03439i
$277$	−9.53799	−	13.6217i	−0.573082	−	0.818446i	0.423069	−	0.906097i	$-0.360953\pi$
$277$	−9.53799	−	13.6217i	−0.573082	−	0.818446i	−0.996151	+	0.0876512i	$0.972064\pi$
$278$	3.35882	−	0.291539i	0.201449	−	0.0174854i
$279$	3.62636	−	1.69100i	0.217105	−	0.101238i
$280$	2.27187	+	2.71885i	0.135770	+	0.162482i
$281$	1.39992	−	16.0011i	0.0835121	−	0.954548i	−0.832666	−	0.553776i	$-0.813186\pi$
$281$	1.39992	−	16.0011i	0.0835121	−	0.954548i	0.916178	−	0.400772i	$-0.131258\pi$
$282$	2.58315	−	9.61408i	0.153824	−	0.572510i
$283$	−21.7467	−	10.1407i	−1.29271	−	0.602800i	−0.350104	−	0.936711i	$-0.613854\pi$
$283$	−21.7467	−	10.1407i	−1.29271	−	0.602800i	−0.942605	+	0.333911i	$0.891632\pi$
$284$	−17.4706	+	14.6188i	−1.03669	+	0.867469i
$285$	−1.32001	+	0.762108i	−0.0781906	+	0.0451434i
$286$	3.14342	+	5.45319i	0.185874	+	0.322454i
$287$	−10.3865	−	3.78039i	−0.613097	−	0.223149i
$288$	−8.03030	+	2.12224i	−0.473190	+	0.125054i
$289$	−1.20820	+	1.43987i	−0.0710704	+	0.0846984i
$290$	1.32704	−	0.354604i	0.0779263	−	0.0208230i
$291$	−1.56275	−	17.8623i	−0.0916102	−	1.04711i
$292$	−5.51007	−	4.63638i	−0.322452	−	0.271324i
$293$	−4.37696	−	0.771776i	−0.255705	−	0.0450876i	0.0443262	−	0.999017i	$-0.485886\pi$
$293$	−4.37696	−	0.771776i	−0.255705	−	0.0450876i	−0.300031	+	0.953929i	$0.596997\pi$
$294$	29.7627	−	13.8537i	1.73579	−	0.807966i
$295$	−3.38520			−0.197094
$296$	11.9520	+	12.3753i	0.694697	+	0.719303i
$297$	−5.67312			−0.329188
$298$	−15.4039	+	7.17012i	−0.892326	+	0.415354i
$299$	36.2465	+	6.39124i	2.09619	+	0.369615i
$300$	−7.87114	+	9.35439i	−0.454441	+	0.540076i
$301$	1.22051	+	13.9505i	0.0703490	+	0.804093i
$302$	22.0249	−	5.88539i	1.26739	−	0.338666i
$303$	9.10265	−	10.8481i	0.522933	−	0.623208i
$304$	14.1514	−	14.0740i	0.811641	−	0.807202i
$305$	1.39732	+	0.508582i	0.0800101	+	0.0291213i
$306$	−4.03243	−	6.99545i	−0.230519	−	0.399903i
$307$	−1.63578	+	0.944418i	−0.0933589	+	0.0539008i	−0.545953	−	0.837816i	$-0.683832\pi$
$307$	−1.63578	+	0.944418i	−0.0933589	+	0.0539008i	0.452594	+	0.891717i	$0.350499\pi$
$308$	−6.68229	−	7.98585i	−0.380759	−	0.455036i
$309$	1.56639	+	0.730418i	0.0891086	+	0.0415520i
$310$	0.246827	−	0.918650i	0.0140188	−	0.0521758i
$311$	−1.63961	+	18.7408i	−0.0929737	+	1.06269i	0.796172	+	0.605070i	$0.206855\pi$
$311$	−1.63961	+	18.7408i	−0.0929737	+	1.06269i	−0.889146	+	0.457624i	$0.848700\pi$
$312$	−9.73804	−	11.6539i	−0.551308	−	0.659773i
$313$	4.27543	−	1.99367i	0.241662	−	0.112689i	−0.298015	−	0.954561i	$-0.596324\pi$
$313$	4.27543	−	1.99367i	0.241662	−	0.112689i	0.539676	+	0.841873i	$0.318547\pi$
$314$	−20.9494	+	1.81836i	−1.18224	+	0.102616i
$315$	1.05498	+	1.50667i	0.0594416	+	0.0848914i
$316$	2.64985	+	1.86086i	0.149066	+	0.104682i
$317$	−4.82061	+	4.04497i	−0.270752	+	0.227188i	−0.768047	−	0.640394i	$-0.778771\pi$
$317$	−4.82061	+	4.04497i	−0.270752	+	0.227188i	0.497295	+	0.867582i	$0.334327\pi$
$318$	3.86445	−	5.51096i	0.216708	−	0.309040i
$319$	−3.89932	+	1.04482i	−0.218320	+	0.0584987i
$320$	−0.841862	+	1.78616i	−0.0470615	+	0.0998495i
$321$	16.9197	−	2.98339i	0.944364	−	0.166517i
$322$	−60.8885	−	0.0417357i	−3.39318	−	0.00232584i
$323$	16.8027	+	9.70106i	0.934929	+	0.539782i
$324$	4.80535	−	0.840523i	0.266964	−	0.0466957i
$325$	20.6980	+	5.54602i	1.14812	+	0.307638i
$326$	−9.40044	−	25.8827i	−0.520642	−	1.43351i
$327$	3.60874	−	3.60874i	0.199564	−	0.199564i
$328$	−0.524264	−	6.13770i	−0.0289476	−	0.338898i
$329$	27.1252	−	9.87278i	1.49546	−	0.544304i
$330$	−0.285108	+	0.339306i	−0.0156947	+	0.0186782i
$331$	−20.7943	−	14.5603i	−1.14296	−	0.800308i	−0.160545	−	0.987028i	$-0.551325\pi$
$331$	−20.7943	−	14.5603i	−1.14296	−	0.800308i	−0.982413	+	0.186720i	$0.940214\pi$
$332$	5.53232	−	3.18398i	0.303626	−	0.174744i
$333$	5.63532	+	6.92910i	0.308814	+	0.379712i
$334$	5.36345	+	3.10149i	0.293475	+	0.169706i
$335$	−2.67173	−	1.87077i	−0.145972	−	0.102211i
$336$	19.2018	+	16.2022i	1.04755	+	0.883902i
$337$	6.64490	+	18.2567i	0.361971	+	0.994506i	0.978332	+	0.207043i	$0.0663839\pi$
$337$	6.64490	+	18.2567i	0.361971	+	0.994506i	−0.616361	+	0.787464i	$0.711394\pi$
$338$	−3.48511	+	7.46048i	−0.189565	+	0.405797i
$339$	7.27835	−	7.27835i	0.395306	−	0.395306i
$340$	−1.88995	−	0.335921i	−0.102497	−	0.0182179i
$341$	−0.723550	+	2.70032i	−0.0391824	+	0.146231i
$342$	7.94152	−	6.65445i	0.429428	−	0.359832i
$343$	51.6727	+	29.8332i	2.79006	+	1.61084i
$344$	−6.76691	+	3.88834i	−0.364847	+	0.209645i
$345$	0.450012	+	2.55214i	0.0242278	+	0.137403i
$346$	−12.5702	+	8.78892i	−0.675778	+	0.472495i
$347$	−15.8460	+	4.24594i	−0.850660	+	0.227934i	−0.657707	−	0.753274i	$-0.728473\pi$
$347$	−15.8460	+	4.24594i	−0.850660	+	0.227934i	−0.192954	+	0.981208i	$0.561807\pi$
$348$	8.83325	−	4.10428i	0.473512	−	0.220013i
$349$	−15.0845	−	17.9770i	−0.807456	−	0.962288i	0.192363	−	0.981324i	$-0.438385\pi$
$349$	−15.0845	−	17.9770i	−0.807456	−	0.962288i	−0.999819	+	0.0190358i	$0.993940\pi$
$350$	−35.3121	−	3.11380i	−1.88751	−	0.166440i
$351$	−13.7613	−	19.6532i	−0.734524	−	1.04901i
$352$	2.47055	−	5.25106i	0.131681	−	0.279882i
$353$	−5.73395	−	12.2965i	−0.305187	−	0.654476i	0.692574	−	0.721346i	$-0.256476\pi$
$353$	−5.73395	−	12.2965i	−0.305187	−	0.654476i	−0.997762	+	0.0668703i	$0.978699\pi$
$354$	−23.6427	+	4.15213i	−1.25659	+	0.220683i
$355$	−0.245028	+	2.80068i	−0.0130047	+	0.148645i
$356$	−4.53547	+	4.52306i	−0.240380	+	0.239721i
$357$	−10.3219	+	22.1354i	−0.546294	+	1.17153i
$358$	4.71049	−	12.9144i	0.248957	−	0.682548i
$359$	3.47127	−	2.00414i	0.183207	−	0.105775i	−0.405592	−	0.914054i	$-0.632934\pi$
$359$	3.47127	−	2.00414i	0.183207	−	0.105775i	0.588798	+	0.808280i	$0.299601\pi$
$360$	−0.514361	+	0.886683i	−0.0271092	+	0.0467323i
$361$	−2.01668	+	5.54078i	−0.106141	+	0.291620i
$362$	7.00722	−	6.99762i	0.368291	−	0.367787i
$363$	−7.91354	+	9.43100i	−0.415353	+	0.494999i
$364$	11.4558	−	42.5205i	0.600449	−	2.22868i
$365$	−0.885340	+	0.0774572i	−0.0463408	+	0.00405430i
$366$	10.3828	+	1.83811i	0.542720	+	0.0960798i
$367$	29.3084	+	5.16787i	1.52989	+	0.269760i	0.874310	−	0.485367i	$-0.161314\pi$
$367$	29.3084	+	5.16787i	1.52989	+	0.269760i	0.655577	+	0.755128i	$0.272425\pi$
$368$	−14.2568	−	30.7939i	−0.743185	−	1.60524i
$369$		−	3.19784i		−	0.166473i
$370$	2.12301	+	0.0340324i	0.110370	+	0.00176926i
$371$	19.5171			1.01328
$372$	0.597094	−	6.71872i	0.0309579	−	0.348349i
$373$	0.537497	−	3.04830i	0.0278306	−	0.157835i	−0.967725	−	0.252007i	$-0.918909\pi$
$373$	0.537497	−	3.04830i	0.0278306	−	0.157835i	0.995556	+	0.0941723i	$0.0300205\pi$
$374$	5.55506	+	0.983433i	0.287245	+	0.0508521i
$375$	0.264619	+	3.02461i	0.0136649	+	0.156190i
$376$	11.3521	+	11.3989i	0.585442	+	0.587855i
$377$	−13.0781	−	10.9738i	−0.673558	−	0.565182i
$378$	28.0463	+	28.0848i	1.44255	+	1.44453i
$379$	0.349392	+	0.127168i	0.0179470	+	0.00653219i	0.350978	−	0.936384i	$-0.385849\pi$
$379$	0.349392	+	0.127168i	0.0179470	+	0.00653219i	−0.333031	+	0.942916i	$0.608071\pi$
$380$	0.00337671	−	2.46315i	0.000173221	−	0.126357i
$381$	−3.73144	−	6.46305i	−0.191168	−	0.331112i
$382$	2.76453	−	7.57932i	0.141446	−	0.387792i
$383$	−26.2655	−	12.2478i	−1.34210	−	0.625833i	−0.386993	−	0.922083i	$-0.626486\pi$
$383$	−26.2655	−	12.2478i	−1.34210	−	0.625833i	−0.955111	+	0.296249i	$0.904264\pi$
$384$	−3.68884	+	13.5074i	−0.188245	+	0.689295i
$385$	−1.28019	−	0.112002i	−0.0652447	−	0.00570817i
$386$	2.79378	+	15.9081i	0.142200	+	0.809699i
$387$	−3.67192	+	1.71224i	−0.186654	+	0.0870382i
$388$	26.2444	+	12.2818i	1.33236	+	0.623512i
$389$	−15.6438	+	10.9539i	−0.793172	+	0.555385i	−0.898459	−	0.439057i	$-0.855313\pi$
$389$	−15.6438	+	10.9539i	−0.793172	+	0.555385i	0.105287	+	0.994442i	$0.466424\pi$
$390$	−1.86703	−	0.164634i	−0.0945407	−	0.00833654i
$391$	25.2703	−	21.2043i	1.27797	−	1.07235i
$392$	−4.73245	+	52.8405i	−0.239025	+	2.66885i
$393$	1.44573	+	5.39554i	0.0729275	+	0.272169i
$394$	−2.23539	−	3.19713i	−0.112617	−	0.161069i
$395$	0.393539	−	0.0693916i	0.0198011	−	0.00349147i
$396$	1.50987	−	2.60691i	0.0758739	−	0.131002i
$397$	−12.9200	+	22.3781i	−0.648436	+	1.12312i	0.335060	+	0.942197i	$0.391243\pi$
$397$	−12.9200	+	22.3781i	−0.648436	+	1.12312i	−0.983496	+	0.180928i	$0.942090\pi$
$398$	−1.56032	+	1.30744i	−0.0782117	+	0.0655361i
$399$	−30.2721	−	8.11139i	−1.51550	−	0.406077i
$400$	−6.70613	−	18.5833i	−0.335306	−	0.929166i
$401$	11.0631	+	11.0631i	0.552464	+	0.552464i	0.927151	−	0.374687i	$-0.122250\pi$
$401$	11.0631	+	11.0631i	0.552464	+	0.552464i	−0.374687	+	0.927151i	$0.622250\pi$
$402$	−20.9543	−	9.78864i	−1.04511	−	0.488213i
$403$	−11.1097	+	4.04362i	−0.553416	+	0.201427i
$404$	7.79753	+	21.5153i	0.387941	+	1.07042i
$405$	0.345321	−	0.493170i	0.0171592	−	0.0245058i
$406$	24.4495	+	14.1383i	1.21341	+	0.701672i
$407$	−6.23940	−	0.0957412i	−0.309276	−	0.00474571i
$408$	−13.6117	−	0.0279902i	−0.673878	−	0.00138572i
$409$	−10.1192	+	14.4518i	−0.500364	+	0.714594i	−0.987304	−	0.158841i	$-0.949224\pi$
$409$	−10.1192	+	14.4518i	−0.500364	+	0.714594i	0.486940	+	0.873435i	$0.338113\pi$
$410$	−0.582038	−	0.489068i	−0.0287448	−	0.0241533i
$411$	−5.42029	−	14.8921i	−0.267363	−	0.734575i
$412$	−2.29007	+	1.59885i	−0.112823	+	0.0787695i
$413$	−49.2177	−	49.2177i	−2.42185	−	2.42185i
$414$	−6.01367	−	16.5577i	−0.295556	−	0.813769i
$415$	0.203888	−	0.760922i	0.0100085	−	0.0373522i
$416$	24.1839	−	4.17886i	1.18571	−	0.204885i
$417$	1.47522	−	2.55516i	0.0722420	−	0.125127i
$418$	−0.00496191	+	7.23896i	−0.000242695	+	0.354069i
$419$	−6.59544	−	37.4046i	−0.322208	−	1.82733i	−0.528608	−	0.848866i	$-0.677286\pi$
$419$	−6.59544	−	37.4046i	−0.322208	−	1.82733i	0.206399	−	0.978468i	$-0.433825\pi$
$420$	3.08922	−	0.266005i	0.150739	−	0.0129797i
$421$	5.35114	+	19.9707i	0.260799	+	0.973314i	0.964772	+	0.263087i	$0.0847408\pi$
$421$	5.35114	+	19.9707i	0.260799	+	0.973314i	−0.703973	+	0.710226i	$0.748593\pi$
$422$	−10.7376	+	15.3125i	−0.522697	+	0.745400i
$423$	5.36818	+	6.39755i	0.261010	+	0.311059i
$424$	4.57661	+	9.86749i	0.222260	+	0.479208i
$425$	15.7323	−	11.0159i	0.763128	−	0.534348i
$426$	1.72388	+	19.8608i	0.0835223	+	0.962260i
$427$	12.9214	+	27.7100i	0.625311	+	1.34098i
$428$	−9.53166	+	26.0767i	−0.460730	+	1.26047i
$429$	5.48735	+	0.480081i	0.264932	+	0.0231785i
$430$	−0.249927	+	0.930190i	−0.0120526	+	0.0448578i
$431$	−8.90865	+	19.1047i	−0.429114	+	0.920239i	0.566265	+	0.824223i	$0.308388\pi$
$431$	−8.90865	+	19.1047i	−0.429114	+	0.920239i	−0.995380	+	0.0960159i	$0.969390\pi$
$432$	−7.62251	+	20.7654i	−0.366738	+	0.999074i
$433$	−7.82484	−	13.5530i	−0.376038	−	0.651316i	0.614444	−	0.788960i	$-0.289380\pi$
$433$	−7.82484	−	13.5530i	−0.376038	−	0.651316i	−0.990482	+	0.137644i	$0.956047\pi$
$434$	16.9450	−	9.76771i	0.813385	−	0.468865i
$435$	0.411133	−	1.12958i	0.0197123	−	0.0541591i
$436$	2.12365	+	7.96925i	0.101704	+	0.381658i
$437$	32.4263	+	27.2089i	1.55116	+	1.30158i
$438$	−6.08832	+	1.62689i	−0.290911	+	0.0777358i
$439$	2.92487	−	0.255893i	0.139596	−	0.0122131i	−0.0171434	−	0.999853i	$-0.505457\pi$
$439$	2.92487	−	0.255893i	0.139596	−	0.0122131i	0.156740	+	0.987640i	$0.449902\pi$
$440$	−0.243569	−	0.673505i	−0.0116117	−	0.0321081i
$441$	−4.78237	+	27.1222i	−0.227732	+	1.29153i
$442$	10.0680	+	21.6297i	0.478888	+	1.02882i
$443$			25.3605i			1.20491i	0.798152	+	0.602456i	$0.205811\pi$
$443$			25.3605i			1.20491i	−0.798152	+	0.602456i	$0.794189\pi$
$444$	14.8691	−	2.36631i	0.705658	−	0.112300i
$445$			0.790507i			0.0374736i
$446$	28.4393	−	13.2377i	1.34664	−	0.626824i
$447$	−2.58201	+	14.6433i	−0.122125	+	0.692605i
$448$	−38.2091	+	13.7293i	−1.80521	+	0.648648i
$449$	−13.6285	+	1.19234i	−0.643170	+	0.0562701i	−0.404075	−	0.914726i	$-0.632406\pi$
$449$	−13.6285	+	1.19234i	−0.643170	+	0.0562701i	−0.239096	+	0.970996i	$0.576851\pi$
$450$	−2.64765	−	9.90834i	−0.124812	−	0.467084i
$451$	1.71154	+	1.43615i	0.0805932	+	0.0676258i
$452$	4.28312	+	16.0729i	0.201461	+	0.756007i
$453$	6.82360	−	18.7477i	0.320601	−	0.880844i
$454$	−3.44428	−	5.97511i	−0.161648	−	0.280426i
$455$	−2.71736	−	4.70661i	−0.127392	−	0.220649i
$456$	−2.99760	−	17.2071i	−0.140375	−	0.805795i
$457$	10.4590	−	22.4294i	0.489251	−	1.04920i	−0.494419	−	0.869223i	$-0.664619\pi$
$457$	10.4590	−	22.4294i	0.489251	−	1.04920i	0.983670	−	0.179979i	$-0.0576029\pi$
$458$	2.83273	+	0.761110i	0.132365	+	0.0355643i
$459$	−21.4217	−	1.87416i	−0.999880	−	0.0874782i
$460$	−3.93339	−	1.43774i	−0.183395	−	0.0670352i
$461$	2.27105	+	4.87028i	0.105773	+	0.226832i	0.952070	−	0.305880i	$-0.0989507\pi$
$461$	2.27105	+	4.87028i	0.105773	+	0.226832i	−0.846297	+	0.532712i	$0.821173\pi$
$462$	−9.07840	+	0.787987i	−0.422366	+	0.0366605i
$463$	−18.8374	+	13.1901i	−0.875447	+	0.612995i	−0.922542	−	0.385896i	$-0.873892\pi$
$463$	−18.8374	+	13.1901i	−0.875447	+	0.612995i	0.0470952	+	0.998890i	$0.485004\pi$
$464$	−1.41484	+	15.6765i	−0.0656823	+	0.727765i
$465$	−0.535087	−	0.637692i	−0.0248141	−	0.0295723i
$466$	12.2664	+	8.60157i	0.568231	+	0.398460i
$467$	3.65379	+	13.6361i	0.169077	+	0.631005i	0.997485	+	0.0708790i	$0.0225804\pi$
$467$	3.65379	+	13.6361i	0.169077	+	0.631005i	−0.828408	+	0.560126i	$0.810753\pi$
$468$	12.6935	−	1.09301i	0.586758	−	0.0505243i
$469$	−11.6453	−	66.0438i	−0.537730	−	3.04962i
$470$	1.98541	+	0.00136089i	0.0915802	+	6.27732e-5i
$471$	−9.20114	+	15.9368i	−0.423966	+	0.734331i
$472$	13.3424	−	36.4247i	0.614134	−	1.67658i
$473$	0.732639	−	2.73424i	0.0336868	−	0.125721i
$474$	2.66342	−	0.967337i	0.122335	−	0.0444313i
$475$	17.4260	+	17.4260i	0.799562	+	0.799562i
$476$	−22.5942	−	32.3621i	−1.03560	−	1.48332i
$477$	1.93125	+	5.30608i	0.0884260	+	0.242948i
$478$	10.6533	−	12.6784i	0.487270	−	0.579898i
$479$	9.86734	−	14.0920i	0.450850	−	0.643881i	−0.527811	−	0.849362i	$-0.676987\pi$
$479$	9.86734	−	14.0920i	0.450850	−	0.643881i	0.978661	+	0.205481i	$0.0658759\pi$
$480$	0.858886	+	1.49948i	0.0392026	+	0.0684415i
$481$	−14.8033	−	21.8472i	−0.674971	−	0.996145i
$482$	−6.54689	+	11.3216i	−0.298203	+	0.515686i
$483$	−30.5631	+	43.6486i	−1.39067	+	1.98608i
$484$	−6.77891	−	18.7047i	−0.308132	−	0.850212i
$485$	3.36037	−	1.22307i	0.152586	−	0.0555369i
$486$	−8.12318	+	17.3891i	−0.368475	+	0.788785i
$487$	12.6381	+	12.6381i	0.572686	+	0.572686i	0.932878	−	0.360192i	$-0.117289\pi$
$487$	12.6381	+	12.6381i	0.572686	+	0.572686i	−0.360192	+	0.932878i	$0.617289\pi$
$488$	−10.9797	+	13.0306i	−0.497028	+	0.589868i
$489$	−23.2772	−	6.23709i	−1.05263	−	0.282051i
$490$	4.20510	+	5.01843i	0.189967	+	0.226709i
$491$	−1.38032	+	2.39079i	−0.0622931	+	0.107895i	−0.895490	−	0.445082i	$-0.853175\pi$
$491$	−1.38032	+	2.39079i	−0.0622931	+	0.107895i	0.833197	+	0.552976i	$0.186508\pi$
$492$	−4.66489	−	2.70181i	−0.210310	−	0.121807i
$493$	−15.0690	+	2.65707i	−0.678674	+	0.119669i
$494$	−25.0897	+	17.5424i	−1.12884	+	0.789269i
$495$	−0.0962275	−	0.359126i	−0.00432510	−	0.0161415i
$496$	8.91183	+	6.27662i	0.400153	+	0.281828i
$497$	−44.2818	+	37.1568i	−1.98631	+	1.66671i
$498$	0.490670	−	5.56446i	0.0219875	−	0.249349i
$499$	−21.7352	+	15.2192i	−0.973003	+	0.681304i	−0.947962	−	0.318383i	$-0.896860\pi$
$499$	−21.7352	+	15.2192i	−0.973003	+	0.681304i	−0.0250405	+	0.999686i	$0.507971\pi$
$500$	−4.44392	−	2.07966i	−0.198738	−	0.0930050i
$501$	4.91396	−	2.29142i	0.219540	−	0.102373i
$502$	27.6586	−	4.85741i	1.23446	−	0.216797i
$503$	−9.44107	−	0.825986i	−0.420956	−	0.0368289i	−0.125290	−	0.992120i	$-0.539986\pi$
$503$	−9.44107	−	0.825986i	−0.420956	−	0.0368289i	−0.295666	+	0.955291i	$0.595542\pi$
$504$	−20.3699	+	5.41323i	−0.907348	+	0.241124i
$505$	2.55966	+	1.19359i	0.113904	+	0.0531141i
$506$	11.5627	+	4.21747i	0.514027	+	0.187490i
$507$	3.60305	+	6.24067i	0.160017	+	0.277158i
$508$	12.0601	+	0.0165331i	0.535080	+	0.000733536i
$509$	40.2911	+	14.6647i	1.78587	+	0.650004i	0.999479	+	0.0322743i	$0.0102750\pi$
$509$	40.2911	+	14.6647i	1.78587	+	0.650004i	0.786391	+	0.617729i	$0.211947\pi$
$510$	−1.18866	+	1.18703i	−0.0526347	+	0.0525626i
$511$	−13.9982	−	11.7459i	−0.619244	−	0.519608i
$512$	−15.9010	−	16.0984i	−0.702731	−	0.711455i
$513$	−2.40488	−	27.4879i	−0.106178	−	1.21362i
$514$	−6.94006	+	39.2019i	−0.306113	+	1.72912i
$515$	−0.0598549	+	0.339454i	−0.00263752	+	0.0149581i
$516$	−0.604594	+	6.80312i	−0.0266158	+	0.299490i
$517$	−5.83494			−0.256620
$518$	30.3719	+	31.3615i	1.33446	+	1.37795i
$519$			13.4227i			0.589192i
$520$	1.74237	−	2.47751i	0.0764081	−	0.108646i
$521$	17.3654	+	3.06198i	0.760791	+	0.134148i	0.540567	−	0.841301i	$-0.318210\pi$
$521$	17.3654	+	3.06198i	0.760791	+	0.134148i	0.220224	+	0.975449i	$0.429321\pi$
$522$	−1.42442	+	8.04605i	−0.0623453	+	0.352166i
$523$	−21.2112	+	1.85574i	−0.927502	+	0.0811460i	−0.540887	−	0.841095i	$-0.681911\pi$
$523$	−21.2112	+	1.85574i	−0.927502	+	0.0811460i	−0.386615	+	0.922241i	$0.626356\pi$
$524$	−8.71604	−	2.34827i	−0.380762	−	0.102585i
$525$	−19.9409	+	23.7646i	−0.870291	+	1.03717i
$526$	−12.9459	−	12.9636i	−0.564466	−	0.565241i
$527$	−3.62420	+	9.95740i	−0.157872	+	0.433751i
$528$	−2.52720	−	4.40509i	−0.109982	−	0.191707i
$529$	42.4091	−	24.4849i	1.84387	−	1.06456i
$530$	1.26112	+	0.459989i	0.0547795	+	0.0199806i
$531$	8.51053	−	18.2509i	0.369326	−	0.792021i
$532$	35.8610	−	35.7628i	1.55477	−	1.55052i
$533$	−0.823522	+	9.41290i	−0.0356707	+	0.407718i
$534$	0.969600	+	5.52100i	0.0419587	+	0.238917i
$535$	1.44809	+	3.10544i	0.0626064	+	0.134260i
$536$	30.6598	−	21.3744i	1.32430	−	0.923233i
$537$	−6.90017	−	9.85446i	−0.297764	−	0.425251i
$538$	−1.93171	+	21.9065i	−0.0832818	+	0.944458i
$539$	−12.3685	−	14.7402i	−0.532749	−	0.634906i
$540$	1.15033	+	2.47574i	0.0495021	+	0.106539i
$541$	22.9632	−	6.15297i	0.987265	−	0.264537i	0.271164	−	0.962533i	$-0.412591\pi$
$541$	22.9632	−	6.15297i	0.987265	−	0.264537i	0.716101	+	0.697996i	$0.245925\pi$
$542$	−1.77859	−	2.54380i	−0.0763971	−	0.109266i
$543$	−1.50489	−	8.53465i	−0.0645809	−	0.366257i
$544$	11.0635	−	19.0118i	0.474345	−	0.815126i
$545$	0.881471	+	0.508918i	0.0377581	+	0.0217996i
$546$	−24.7513	−	29.5385i	−1.05926	−	1.26413i
$547$	1.00514	−	3.75123i	0.0429767	−	0.160391i	−0.941103	−	0.338121i	$-0.890209\pi$
$547$	1.00514	−	3.75123i	0.0429767	−	0.160391i	0.984079	+	0.177730i	$0.0568754\pi$
$548$	25.2151	+	4.48176i	1.07714	+	0.191451i
$549$	−6.25487	+	6.25487i	−0.266951	+	0.266951i
$550$	6.49219	+	3.03278i	0.276828	+	0.129318i
$551$	−6.71540	−	18.4504i	−0.286086	−	0.786013i
$552$	−29.2347	−	5.21688i	−1.24431	−	0.222045i
$553$	6.73060	+	4.71282i	0.286214	+	0.200409i
$554$	11.7724	−	20.3582i	0.500162	−	0.864937i
$555$	1.08902	−	1.50557i	0.0462261	−	0.0639079i
$556$	2.37831	+	4.13243i	0.100863	+	0.175254i
$557$	−6.02727	−	4.22034i	−0.255384	−	0.178822i	0.438873	−	0.898549i	$-0.355378\pi$
$557$	−6.02727	−	4.22034i	−0.255384	−	0.178822i	−0.694257	+	0.719728i	$0.744267\pi$
$558$	4.33226	+	3.64026i	0.183399	+	0.154105i
$559$	11.2493	−	4.09441i	0.475795	−	0.173175i
$560$	−2.13005	+	4.53541i	−0.0900112	+	0.191656i
$561$	3.49097	−	3.49097i	0.147389	−	0.147389i
$562$	21.3509	−	7.75452i	0.900632	−	0.327104i
$563$	−2.46555	−	0.660643i	−0.103911	−	0.0278428i	0.206489	−	0.978449i	$-0.433796\pi$
$563$	−2.46555	−	0.660643i	−0.103911	−	0.0278428i	−0.310400	+	0.950606i	$0.600463\pi$
$564$	13.8680	−	2.42571i	0.583949	−	0.102141i
$565$	1.77781	+	1.02642i	0.0747930	+	0.0431818i
$566$	0.0232598	−	33.9338i	0.000977682	−	1.42635i
$567$	12.1909	−	2.14959i	0.511970	−	0.0902741i
$568$	−29.1695	−	13.6751i	−1.22393	−	0.573793i
$569$	3.55047	−	0.951345i	0.148843	−	0.0398825i	−0.183628	−	0.982996i	$-0.558784\pi$
$569$	3.55047	−	0.951345i	0.148843	−	0.0398825i	0.332471	+	0.943113i	$0.392118\pi$
$570$	−1.76489	−	1.23759i	−0.0739231	−	0.0518371i
$571$	−3.19460	+	2.68059i	−0.133690	+	0.112179i	−0.707181	−	0.707033i	$-0.750033\pi$
$571$	−3.19460	+	2.68059i	−0.133690	+	0.112179i	0.573491	+	0.819212i	$0.305589\pi$
$572$	−5.11568	+	7.28467i	−0.213897	+	0.304587i
$573$	−4.04963	−	5.78347i	−0.169176	−	0.241608i
$574$	−1.35170	−	15.5729i	−0.0564188	−	0.650001i
$575$	37.9749	−	17.7080i	1.58366	−	0.738474i
$576$	−7.51340	−	9.02928i	−0.313059	−	0.376220i
$577$	1.43798	−	16.4362i	0.0598639	−	0.684248i	−0.905672	−	0.423979i	$-0.860633\pi$
$577$	1.43798	−	16.4362i	0.0598639	−	0.684248i	0.965536	−	0.260269i	$-0.0838113\pi$
$578$	−2.56714	−	0.689749i	−0.106779	−	0.0286898i
$579$	12.8103	+	5.97355i	0.532379	+	0.248252i
$580$	1.24661	+	1.48980i	0.0517628	+	0.0618605i
$581$	14.0275	−	8.09876i	0.581958	−	0.335993i
$582$	21.9691	−	12.6638i	0.910647	−	0.524930i
$583$	−3.70723	−	1.34932i	−0.153538	−	0.0558832i
$584$	2.65604	−	9.83155i	0.109908	−	0.406832i
$585$	1.01069	−	1.20449i	0.0417867	−	0.0497995i
$586$	−1.62263	−	6.07239i	−0.0670303	−	0.250848i
$587$	−0.725713	−	8.29493i	−0.0299534	−	0.342369i	−0.996353	−	0.0853250i	$-0.972807\pi$
$587$	−0.725713	−	8.29493i	−0.0299534	−	0.342369i	0.966400	−	0.257044i	$-0.0827484\pi$
$588$	35.5243	+	29.8915i	1.46500	+	1.23271i
$589$	−13.3905	−	2.36111i	−0.551748	−	0.0972880i
$590$	−2.02027	−	4.34024i	−0.0831730	−	0.178685i
$591$	−3.41396			−0.140432
$592$	−8.73382	+	22.7095i	−0.358958	+	0.933354i
$593$	−3.90905			−0.160526			−0.0802628	−	0.996774i	$-0.525576\pi$
$593$	−3.90905			−0.160526			−0.0802628	+	0.996774i	$0.525576\pi$
$594$	−3.38569	−	7.27364i	−0.138916	−	0.298441i
$595$	−4.79701	−	0.845842i	−0.196658	−	0.0346761i
$596$	−18.3859	−	15.4706i	−0.753118	−	0.633702i
$597$	0.155266	+	1.77470i	0.00635462	+	0.0726336i
$598$	13.4373	+	50.2867i	0.549494	+	2.05638i
$599$	18.6232	−	22.1943i	0.760925	−	0.906835i	−0.236981	−	0.971514i	$-0.576158\pi$
$599$	18.6232	−	22.1943i	0.760925	−	0.906835i	0.997906	+	0.0646794i	$0.0206025\pi$
$600$	−16.6909	−	4.50912i	−0.681404	−	0.184084i
$601$	−11.7293	−	4.26912i	−0.478449	−	0.174141i	0.0915269	−	0.995803i	$-0.470825\pi$
$601$	−11.7293	−	4.26912i	−0.478449	−	0.174141i	−0.569976	+	0.821661i	$0.693047\pi$
$602$	−17.1578	+	9.89041i	−0.699301	+	0.403103i
$603$	16.8029	−	9.70113i	0.684265	−	0.395061i
$604$	20.6901	+	24.7263i	0.841869	+	1.00610i
$605$	−2.22529	−	1.03767i	−0.0904708	−	0.0421872i
$606$	19.3410	+	5.19662i	0.785675	+	0.211098i
$607$	1.66864	−	19.0726i	0.0677278	−	0.774133i	−0.884060	−	0.467374i	$-0.845200\pi$
$607$	1.66864	−	19.0726i	0.0677278	−	0.774133i	0.951787	−	0.306758i	$-0.0992444\pi$
$608$	26.4901	+	9.74457i	1.07432	+	0.395194i
$609$	22.4005	−	10.4455i	0.907716	−	0.423275i
$610$	0.181846	+	2.09505i	0.00736273	+	0.0848261i
$611$	−14.1538	−	20.2137i	−0.572602	−	0.817761i
$612$	6.56249	−	9.34491i	0.265273	−	0.377746i
$613$	−11.8956	+	9.98158i	−0.480458	+	0.403152i	−0.850592	−	0.525826i	$-0.823756\pi$
$613$	−11.8956	+	9.98158i	−0.480458	+	0.403152i	0.370134	+	0.928978i	$0.379312\pi$
$614$	−2.18708	−	1.53365i	−0.0882635	−	0.0618929i
$615$	−0.642631	+	0.172193i	−0.0259134	+	0.00694347i
$616$	6.25089	−	13.3334i	0.251855	−	0.537219i
$617$	−44.0481	+	7.76687i	−1.77331	+	0.312682i	−0.962227	−	0.272249i	$-0.912232\pi$
$617$	−44.0481	+	7.76687i	−1.77331	+	0.312682i	−0.811083	+	0.584931i	$0.801121\pi$
$618$	−0.00167537	+	2.44421i	−6.73932e−5	+	0.0983204i
$619$	32.6839	+	18.8701i	1.31368	+	0.758453i	0.982703	−	0.185187i	$-0.0592891\pi$
$619$	32.6839	+	18.8701i	1.31368	+	0.758453i	0.330975	+	0.943640i	$0.392622\pi$
$620$	1.32513	−	0.231783i	0.0532184	−	0.00930863i
$621$	−45.3156	−	12.1423i	−1.81845	−	0.487253i
$622$	−25.0065	+	9.08223i	−1.00267	+	0.364164i
$623$	−11.4933	+	11.4933i	−0.460468	+	0.460468i
$624$	9.13015	−	19.4403i	0.365499	−	0.778236i
$625$	22.6371	−	8.23922i	0.905482	−	0.329569i
$626$	5.10767	+	4.29181i	0.204144	+	0.171535i
$627$	5.18934	+	3.63361i	0.207242	+	0.145113i
$628$	−14.8338	−	25.7745i	−0.591934	−	1.02851i
$629$	−23.5284	−	2.42275i	−0.938138	−	0.0966014i
$630$	−1.30213	+	2.25179i	−0.0518782	+	0.0897135i
$631$	−29.0398	−	20.3339i	−1.15606	−	0.809480i	−0.171611	−	0.985165i	$-0.554897\pi$
$631$	−29.0398	−	20.3339i	−1.15606	−	0.809480i	−0.984447	+	0.175684i	$0.943786\pi$
$632$	−0.804440	+	4.50798i	−0.0319989	+	0.179318i
$633$	5.59773	+	15.3796i	0.222490	+	0.611286i
$634$	−8.06306	−	3.76660i	−0.320225	−	0.149591i
$635$	1.05244	−	1.05244i	0.0417649	−	0.0417649i
$636$	9.37201	+	1.66579i	0.371624	+	0.0660528i
$637$	21.0616	−	78.6031i	0.834492	−	3.11437i
$638$	−3.66668	−	4.37586i	−0.145165	−	0.173242i
$639$	−14.4835	−	8.36206i	−0.572959	−	0.330798i
$640$	−2.79250	−	0.0133988i	−0.110383	−	0.000529635i
$641$	5.35437	+	30.3662i	0.211485	+	1.19939i	0.886903	+	0.461956i	$0.152852\pi$
$641$	5.35437	+	30.3662i	0.211485	+	1.19939i	−0.675418	+	0.737435i	$0.736037\pi$
$642$	13.9226	+	19.9126i	0.549482	+	0.785888i
$643$	−25.7685	+	6.90464i	−1.01621	+	0.272293i	−0.728222	−	0.685341i	$-0.759653\pi$
$643$	−25.7685	+	6.90464i	−1.01621	+	0.272293i	−0.287988	+	0.957634i	$0.592986\pi$
$644$	−36.2844	−	78.0914i	−1.42980	−	3.07723i
$645$	0.541809	+	0.645703i	0.0213337	+	0.0254245i
$646$	−2.41018	+	27.3327i	−0.0948273	+	1.07539i
$647$	15.5735	+	22.2412i	0.612257	+	0.874393i	0.998854	−	0.0478554i	$-0.0152387\pi$
$647$	15.5735	+	22.2412i	0.612257	+	0.874393i	−0.386598	+	0.922248i	$0.626350\pi$
$648$	3.94546	+	5.65943i	0.154992	+	0.222323i
$649$	5.94611	+	12.7515i	0.233405	+	0.500539i
$650$	5.24178	+	29.8472i	0.205600	+	1.17070i
$651$	1.49178	−	17.0512i	0.0584676	−	0.668288i
$652$	27.5746	−	27.4991i	1.07991	−	1.07695i
$653$	4.46344	−	9.57187i	0.174668	−	0.374576i	−0.799411	−	0.600784i	$-0.794855\pi$
$653$	4.46344	−	9.57187i	0.174668	−	0.374576i	0.974079	+	0.226208i	$0.0726329\pi$
$654$	6.78052	+	2.47317i	0.265139	+	0.0967087i
$655$	−0.964781	+	0.557016i	−0.0376971	+	0.0217644i
$656$	7.55641	−	4.33511i	0.295028	−	0.169258i
$657$	1.80818	−	4.96794i	0.0705438	−	0.193818i
$658$	28.8463	+	28.8859i	1.12455	+	1.12609i
$659$	0.0963387	−	0.114812i	0.00375282	−	0.00447244i	−0.764165	−	0.645021i	$-0.776849\pi$
$659$	0.0963387	−	0.114812i	0.00375282	−	0.00447244i	0.767918	+	0.640549i	$0.221293\pi$
$660$	−0.605182	−	0.163047i	−0.0235567	−	0.00634661i
$661$	21.5364	−	1.88419i	0.837670	−	0.0732866i	0.339757	−	0.940513i	$-0.389655\pi$
$661$	21.5364	−	1.88419i	0.837670	−	0.0732866i	0.497913	+	0.867227i	$0.334100\pi$
$662$	6.25821	−	35.3504i	0.243232	−	1.37393i
$663$	20.5617	+	3.62558i	0.798549	+	0.140806i
$664$	7.38391	+	5.19293i	0.286551	+	0.201525i
$665$		−	6.25037i		−	0.242379i
$666$	−5.52082	+	11.3604i	−0.213928	+	0.440207i
$667$	−33.3831			−1.29260
$668$	−0.775619	+	8.72754i	−0.0300096	+	0.337679i
$669$	4.76700	−	27.0350i	0.184303	−	1.04523i
$670$	0.804078	−	4.54195i	0.0310643	−	0.175471i
$671$	−0.538649	−	6.15679i	−0.0207943	−	0.237680i
$672$	−9.31364	+	34.2885i	−0.359281	+	1.32271i
$673$	−18.3963	−	15.4363i	−0.709125	−	0.595026i	0.215229	−	0.976564i	$-0.430950\pi$
$673$	−18.3963	−	15.4363i	−0.709125	−	0.595026i	−0.924353	+	0.381537i	$0.875395\pi$
$674$	−19.4417	+	19.4151i	−0.748866	+	0.747840i
$675$	−25.6661	−	9.34171i	−0.987890	−	0.359563i
$676$	−11.6451	−	0.0159642i	−0.447890	−	0.000614008i
$677$	5.78307	+	10.0166i	0.222262	+	0.384968i	0.955494	−	0.295009i	$-0.0953228\pi$
$677$	5.78307	+	10.0166i	0.222262	+	0.384968i	−0.733233	+	0.679978i	$0.761989\pi$
$678$	13.6754	+	4.98806i	0.525201	+	0.191565i
$679$	66.6391	+	31.0743i	2.55737	+	1.19252i
$680$	−0.697218	−	2.62362i	−0.0267371	−	0.100611i
$681$	−6.01255	−	0.526030i	−0.230402	−	0.0201575i
$682$	−3.89396	+	0.683858i	−0.149107	+	0.0261863i
$683$	−19.1674	+	8.93790i	−0.733420	+	0.341999i	−0.753188	−	0.657805i	$-0.771485\pi$
$683$	−19.1674	+	8.93790i	−0.733420	+	0.341999i	0.0197683	+	0.999805i	$0.493707\pi$
$684$	13.2713	+	6.21066i	0.507440	+	0.237470i
$685$	2.58906	−	1.81288i	0.0989230	−	0.0692666i
$686$	−7.41192	+	84.0550i	−0.282988	+	3.20923i
$687$	1.96638	−	1.64999i	0.0750219	−	0.0629509i
$688$	−9.02378	−	6.35546i	−0.344028	−	0.242300i
$689$	−4.31824	−	16.1159i	−0.164512	−	0.613966i
$690$	−3.00360	+	2.10007i	−0.114345	+	0.0799485i
$691$	−21.9866	+	3.87684i	−0.836412	+	0.147482i	−0.575419	−	0.817859i	$-0.695161\pi$
$691$	−21.9866	+	3.87684i	−0.836412	+	0.147482i	−0.260993	+	0.965341i	$0.584050\pi$
$692$	−18.7703	−	10.8714i	−0.713539	−	0.413267i
$693$	3.82230	−	6.62043i	0.145197	−	0.251489i
$694$	−14.9006	−	17.7826i	−0.565620	−	0.675019i
$695$	0.568379	+	0.152297i	0.0215599	+	0.00577695i
$696$	10.5338	+	8.87590i	0.399283	+	0.336440i
$697$	5.98833	+	5.98833i	0.226824	+	0.226824i
$698$	14.0464	−	30.0688i	0.531664	−	1.13812i
$699$	12.3202	−	4.48419i	0.465993	−	0.169608i
$700$	−17.0818	−	47.1328i	−0.645631	−	1.78145i
$701$	−27.0758	+	38.6683i	−1.02264	+	1.46048i	−0.140161	+	0.990129i	$0.544762\pi$
$701$	−27.0758	+	38.6683i	−1.02264	+	1.46048i	−0.882479	+	0.470352i	$0.844127\pi$
$702$	16.9851	−	29.3726i	0.641062	−	1.10860i
$703$	−2.18103	−	30.2722i	−0.0822593	−	1.14174i
$704$	8.20691	+	0.0337525i	0.309310	+	0.00127210i
$705$	0.996581	−	1.42327i	0.0375334	−	0.0536033i
$706$	12.3436	−	14.6901i	0.464558	−	0.552869i
$707$	19.8615	+	54.5689i	0.746967	+	2.05228i
$708$	−19.4333	−	27.8348i	−0.730349	−	1.04610i
$709$	15.2590	+	15.2590i	0.573064	+	0.573064i	0.932983	−	0.359920i	$-0.117196\pi$
$709$	15.2590	+	15.2590i	0.573064	+	0.573064i	−0.359920	+	0.932983i	$0.617196\pi$
$710$	−3.73704	+	1.35727i	−0.140249	+	0.0509375i
$711$	−0.615258	+	2.29617i	−0.0230740	+	0.0861132i
$712$	−8.50585	−	3.11570i	−0.318770	−	0.116766i
$713$	−11.5591	+	20.0209i	−0.432892	+	0.749790i
$714$	−34.5404	−	0.0236755i	−1.29264	−	0.000886035i
$715$	0.190764	+	1.08187i	0.00713416	+	0.0404598i
$716$	19.3690	−	1.66782i	0.723855	−	0.0623293i
$717$	−3.75084	−	13.9983i	−0.140078	−	0.522777i
$718$	4.64119	+	3.25454i	0.173208	+	0.121458i
$719$	24.0136	+	28.6183i	0.895556	+	1.06728i	0.997370	+	0.0724791i	$0.0230911\pi$
$719$	24.0136	+	28.6183i	0.895556	+	1.06728i	−0.101813	+	0.994804i	$0.532464\pi$
$720$	−1.44380	−	0.130306i	−0.0538074	−	0.00485623i
$721$	−5.80560	+	4.06512i	−0.216212	+	0.151393i
$722$	−8.30750	+	0.721074i	−0.309173	+	0.0268356i
$723$	4.83692	+	10.3728i	0.179887	+	0.385769i
$724$	13.1537	+	4.80797i	0.488852	+	0.178687i
$725$	−19.3616	−	1.69392i	−0.719073	−	0.0629107i
$726$	−16.8144	−	4.51777i	−0.624042	−	0.167670i
$727$	−6.40873	+	13.7436i	−0.237687	+	0.509721i	−0.988579	−	0.150704i	$-0.951846\pi$
$727$	−6.40873	+	13.7436i	−0.237687	+	0.509721i	0.750892	+	0.660425i	$0.229624\pi$
$728$	61.3532	−	10.6882i	2.27390	−	0.396131i
$729$	12.0568	+	20.8830i	0.446549	+	0.773446i
$730$	−0.627675	−	1.08889i	−0.0232313	−	0.0403016i
$731$	3.66972	−	10.0825i	0.135730	−	0.372914i
$732$	3.83973	+	14.4090i	0.141920	+	0.532574i
$733$	5.63324	+	4.72685i	0.208069	+	0.174590i	0.740867	−	0.671652i	$-0.234415\pi$
$733$	5.63324	+	4.72685i	0.208069	+	0.174590i	−0.532798	+	0.846242i	$0.678859\pi$
$734$	10.8653	+	40.6611i	0.401044	+	1.50083i
$735$	5.70794	−	0.499380i	0.210540	−	0.0184199i
$736$	30.9731	−	36.6565i	1.14169	−	1.35118i
$737$	−2.35396	+	13.3500i	−0.0867092	+	0.491753i
$738$	4.10002	−	1.90845i	0.150924	−	0.0702510i
$739$		−	5.09874i		−	0.187560i	−0.995593	−	0.0937801i	$-0.970105\pi$
$739$		−	5.09874i		−	0.187560i	0.995593	−	0.0937801i	$-0.0298951\pi$
$740$	1.22337	+	2.74227i	0.0449719	+	0.100808i
$741$			26.7913i			0.984202i
$742$	11.6477	+	25.0233i	0.427600	+	0.918636i
$743$	7.59834	−	43.0923i	0.278756	−	1.58090i	−0.448016	−	0.894026i	$-0.647869\pi$
$743$	7.59834	−	43.0923i	0.278756	−	1.58090i	0.726772	−	0.686879i	$-0.241020\pi$
$744$	8.97056	−	3.24414i	0.328877	−	0.118936i
$745$	−2.95420	+	0.258459i	−0.108233	+	0.00946919i
$746$	4.22907	−	1.13007i	0.154837	−	0.0413747i
$747$	3.58983	+	3.01223i	0.131345	+	0.110212i
$748$	2.05434	+	7.70917i	0.0751142	+	0.281875i
$749$	−24.0963	+	66.2042i	−0.880461	+	2.41905i
$750$	−3.71999	+	2.14434i	−0.135835	+	0.0783002i
$751$	−10.8497	−	18.7922i	−0.395910	−	0.685737i	0.597307	−	0.802013i	$-0.296238\pi$
$751$	−10.8497	−	18.7922i	−0.395910	−	0.685737i	−0.993217	+	0.116276i	$0.962904\pi$
$752$	−7.83993	+	21.3576i	−0.285893	+	0.778833i
$753$	10.3859	−	22.2727i	0.378485	−	0.811663i
$754$	6.26487	−	23.3169i	0.228153	−	0.849150i
$755$	3.96381	+	0.346789i	0.144258	+	0.0126209i
$756$	−19.2703	+	52.7197i	−0.700853	+	1.91740i
$757$	6.20489	+	13.3064i	0.225521	+	0.483631i	0.986213	−	0.165482i	$-0.0529181\pi$
$757$	6.20489	+	13.3064i	0.225521	+	0.483631i	−0.760692	+	0.649113i	$0.775140\pi$
$758$	0.0454696	+	0.523856i	0.00165153	+	0.0190273i
$759$	8.82306	−	6.17797i	0.320257	−	0.224246i
$760$	3.16007	−	1.46566i	0.114628	−	0.0531651i
$761$	−0.791480	−	0.943249i	−0.0286911	−	0.0341928i	0.751508	−	0.659724i	$-0.229327\pi$
$761$	−0.791480	−	0.943249i	−0.0286911	−	0.0341928i	−0.780199	+	0.625531i	$0.784882\pi$
$762$	6.05952	−	8.64127i	0.219513	−	0.313040i
$763$	5.41659	+	20.2150i	0.196094	+	0.731832i
$764$	11.3675	−	0.978823i	0.411260	−	0.0354126i
$765$	−0.244715	−	1.38785i	−0.00884770	−	0.0501778i
$766$	0.0280930	−	40.9850i	0.00101504	−	1.48085i
$767$	−29.7510	+	51.5302i	−1.07425	+	1.86065i
$768$	−19.5196	+	3.33157i	−0.704352	+	0.120218i
$769$	12.3326	−	46.0257i	0.444723	−	1.65973i	−0.271942	−	0.962314i	$-0.587666\pi$
$769$	12.3326	−	46.0257i	0.444723	−	1.65973i	0.716666	−	0.697417i	$-0.245667\pi$
$770$	−0.620410	−	1.70821i	−0.0223580	−	0.0615595i
$771$	24.6356	+	24.6356i	0.887231	+	0.887231i
$772$	−18.7288	+	13.0758i	−0.674063	+	0.470608i
$773$	−11.0275	−	30.2977i	−0.396631	−	1.08973i	−0.963915	−	0.266212i	$-0.914228\pi$
$773$	−11.0275	−	30.2977i	−0.396631	−	1.08973i	0.567284	−	0.823522i	$-0.307994\pi$
$774$	−4.38668	−	3.68599i	−0.157676	−	0.132490i
$775$	−7.71997	+	11.0253i	−0.277310	+	0.396039i
$776$	−0.0842649	+	40.9781i	−0.00302493	+	1.47103i
$777$	37.7229	−	6.05634i	1.35330	−	0.217270i
$778$	−23.3804	−	13.5200i	−0.838227	−	0.484717i
$779$	−6.23303	+	8.90168i	−0.223321	+	0.318936i
$780$	−0.903151	−	2.49201i	−0.0323380	−	0.0892283i
$781$	10.9801	−	3.99642i	0.392898	−	0.143003i
$782$	42.2677	+	19.7450i	1.51149	+	0.706081i
$783$	15.3874	+	15.3874i	0.549902	+	0.549902i
$784$	−70.5722	+	25.4673i	−2.52044	+	0.909546i
$785$	−3.54505	−	0.949893i	−0.126528	−	0.0339031i
$786$	−6.05494	+	5.07363i	−0.215973	+	0.180970i
$787$	4.43486	−	7.68141i	0.158086	−	0.273813i	−0.776093	−	0.630619i	$-0.782801\pi$
$787$	4.43486	−	7.68141i	0.158086	−	0.273813i	0.934178	+	0.356806i	$0.116134\pi$
$788$	2.76504	−	4.77407i	0.0985006	−	0.170069i
$789$	−15.7894	+	2.78410i	−0.562118	+	0.0991166i
$790$	0.323830	+	0.463153i	0.0115214	+	0.0164782i
$791$	10.9245	+	40.7710i	0.388432	+	1.44965i
$792$	4.24346	+	0.380049i	0.150785	+	0.0135045i
$793$	20.0221	−	16.8005i	0.711006	−	0.596605i
$794$	−36.4020	−	3.20991i	−1.29186	−	0.113915i
$795$	0.962307	−	0.673815i	0.0341295	−	0.0238978i
$796$	−2.60749	−	1.22025i	−0.0924199	−	0.0432505i
$797$	34.2366	−	15.9648i	1.21272	−	0.565502i	0.292262	−	0.956338i	$-0.405592\pi$
$797$	34.2366	−	15.9648i	1.21272	−	0.565502i	0.920460	+	0.390837i	$0.127814\pi$
$798$	−7.66642	−	43.6534i	−0.271388	−	1.54531i
$799$	−22.0327	−	1.92761i	−0.779462	−	0.0681941i
$800$	19.8239	−	19.6885i	0.700881	−	0.696093i
$801$	−4.26192	−	1.98737i	−0.150588	−	0.0702202i
$802$	−7.58185	+	20.7866i	−0.267724	+	0.734001i
$803$	1.84687	+	3.19888i	0.0651747	+	0.112886i
$804$	0.0448388	−	32.7078i	0.00158134	−	1.15351i
$805$	−9.98617	−	3.63467i	−0.351966	−	0.128105i
$806$	−11.8146	−	11.8308i	−0.416153	−	0.416724i
$807$	14.7428	+	12.3707i	0.518972	+	0.435469i
$808$	−22.9317	+	22.8375i	−0.806733	+	0.803422i
$809$	2.99270	+	34.2067i	0.105218	+	1.20264i	0.846848	+	0.531835i	$0.178497\pi$
$809$	2.99270	+	34.2067i	0.105218	+	1.20264i	−0.741630	+	0.670809i	$0.765947\pi$
$810$	0.838390	+	0.148423i	0.0294580	+	0.00521506i
$811$	−2.11672	+	12.0045i	−0.0743280	+	0.421535i	0.924825	+	0.380392i	$0.124211\pi$
$811$	−2.11672	+	12.0045i	−0.0743280	+	0.421535i	−0.999153	+	0.0411428i	$0.986900\pi$
$812$	−3.53570	+	39.7849i	−0.124079	+	1.39618i
$813$	−2.71632			−0.0952656
$814$	−3.60089	−	8.05682i	−0.126211	−	0.282391i
$815$		−	4.80610i		−	0.168350i
$816$	−8.08747	−	17.4685i	−0.283118	−	0.611521i
$817$	13.5588	+	2.39077i	0.474361	+	0.0836426i
$818$	−24.5680	−	4.34937i	−0.859001	−	0.152072i
$819$	32.2067	−	2.81772i	1.12539	−	0.0984590i
$820$	0.279688	−	1.03812i	0.00976714	−	0.0362526i
$821$	31.9898	−	38.1239i	1.11645	−	1.33053i	0.178431	−	0.983952i	$-0.442898\pi$
$821$	31.9898	−	38.1239i	1.11645	−	1.33053i	0.938020	−	0.346582i	$-0.112658\pi$
$822$	15.8587	−	15.8370i	0.553137	−	0.552379i
$823$	−5.22061	+	14.3435i	−0.181979	+	0.499984i	−0.996819	−	0.0797030i	$-0.974603\pi$
$823$	−5.22061	+	14.3435i	−0.181979	+	0.499984i	0.814839	+	0.579687i	$0.196825\pi$
$824$	−3.41661	−	1.98196i	−0.119023	−	0.0690449i
$825$	5.43070	−	3.13542i	0.189073	−	0.109161i
$826$	33.7303	−	92.4760i	1.17363	−	3.21765i
$827$	−0.594982	+	1.27594i	−0.0206895	+	0.0443689i	−0.916381	−	0.400307i	$-0.868903\pi$
$827$	−0.594982	+	1.27594i	−0.0206895	+	0.0443689i	0.895691	+	0.444676i	$0.146681\pi$
$828$	17.6401	−	17.5918i	0.613037	−	0.611358i
$829$	−3.17597	+	36.3015i	−0.110306	+	1.26080i	0.716208	+	0.697886i	$0.245876\pi$
$829$	−3.17597	+	36.3015i	−0.110306	+	1.26080i	−0.826514	+	0.562916i	$0.809680\pi$
$830$	1.09727	−	0.192704i	0.0380869	−	0.00668884i
$831$	−8.69761	−	18.6521i	−0.301717	−	0.647033i
$832$	19.7906	+	28.5128i	0.686115	+	0.988502i
$833$	−41.8340	−	59.7451i	−1.44946	−	2.07004i
$834$	4.15643	+	0.366512i	0.143926	+	0.0126913i
$835$	0.695073	+	0.828356i	0.0240540	+	0.0286664i
$836$	−9.28420	+	4.31381i	−0.321101	+	0.149196i
$837$	14.5563	−	3.90035i	0.503140	−	0.134816i
$838$	44.0211	−	30.7790i	1.52069	−	1.06324i
$839$	−3.54162	−	20.0855i	−0.122270	−	0.693429i	−0.982892	−	0.184184i	$-0.941036\pi$
$839$	−3.54162	−	20.0855i	−0.122270	−	0.693429i	0.860621	−	0.509245i	$-0.170075\pi$
$840$	2.18468	+	3.80201i	0.0753787	+	0.131182i
$841$	−11.7046	−	6.75763i	−0.403606	−	0.233022i
$842$	−22.4114	+	18.7792i	−0.772347	+	0.647175i
$843$	5.14504	−	19.2016i	0.177205	−	0.661337i
$844$	−26.0406	−	4.62848i	−0.896354	−	0.159319i
$845$	−1.01623	+	1.01623i	−0.0349594	+	0.0349594i
$846$	−4.99874	+	10.7007i	−0.171860	+	0.367897i
$847$	−17.2669	−	47.4404i	−0.593298	−	1.63007i
$848$	−9.92004	+	11.7566i	−0.340656	+	0.403724i
$849$	−24.3259	−	17.0332i	−0.834862	−	0.584577i
$850$	23.5126	+	13.5965i	0.806476	+	0.466356i
$851$	−49.6340	−	14.1191i	−1.70143	−	0.483995i
$852$	−24.4352	+	14.0630i	−0.837136	+	0.481792i
$853$	40.6816	+	28.4855i	1.39291	+	0.975326i	0.998406	+	0.0564316i	$0.0179723\pi$
$853$	40.6816	+	28.4855i	1.39291	+	0.975326i	0.394503	+	0.918894i	$0.370917\pi$
$854$	−27.8162	+	33.1040i	−0.951852	+	1.13280i
$855$	1.69927	−	0.618485i	0.0581139	−	0.0211517i
$856$	−39.1220	+	3.34168i	−1.33716	+	0.114216i
$857$	−0.548276	+	0.548276i	−0.0187287	+	0.0187287i	−0.716409	−	0.697680i	$-0.754216\pi$
$857$	−0.548276	+	0.548276i	−0.0187287	+	0.0187287i	0.697680	+	0.716409i	$0.254216\pi$
$858$	2.65930	+	7.32197i	0.0907869	+	0.249968i
$859$	38.1224	+	10.2149i	1.30072	+	0.348526i	0.841722	−	0.539911i	$-0.181542\pi$
$859$	38.1224	+	10.2149i	1.30072	+	0.348526i	0.458997	+	0.888438i	$0.348209\pi$
$860$	−1.34177	+	0.234695i	−0.0457541	+	0.00800302i
$861$	−11.8468	−	6.83975i	−0.403738	−	0.233098i
$862$	−29.8111	−	0.0204339i	−1.01537	−	0.000695981i
$863$	−10.3271	+	1.82094i	−0.351537	+	0.0619855i	−0.346629	−	0.938002i	$-0.612674\pi$
$863$	−10.3271	+	1.82094i	−0.351537	+	0.0619855i	−0.00490862	+	0.999988i	$0.501562\pi$
$864$	−31.1728	+	2.61964i	−1.06052	+	0.0891221i
$865$	−2.58578	+	0.692857i	−0.0879190	+	0.0235578i
$866$	12.7068	−	18.1208i	0.431795	−	0.615768i
$867$	−1.78201	+	1.49528i	−0.0605202	+	0.0507825i
$868$	22.6361	+	15.8962i	0.768318	+	0.539553i
$869$	−0.952640	−	1.36051i	−0.0323161	−	0.0461522i
$870$	1.69362	−	0.147003i	0.0574191	−	0.00498386i
$871$	−51.9578	+	24.2283i	−1.76052	+	0.820945i
$872$	−8.95017	+	7.47878i	−0.303091	+	0.253263i
$873$	−1.85405	+	21.1919i	−0.0627500	+	0.717236i
$874$	−15.5333	+	57.8126i	−0.525422	+	1.95554i
$875$	−11.2839	−	5.26177i	−0.381466	−	0.177880i
$876$	−5.71934	−	6.83506i	−0.193239	−	0.230935i
$877$	−13.8276	+	7.98335i	−0.466924	+	0.269578i	−0.714951	−	0.699175i	$-0.753551\pi$
$877$	−13.8276	+	7.98335i	−0.466924	+	0.269578i	0.248027	+	0.968753i	$0.420218\pi$
$878$	2.07363	+	3.59732i	0.0699816	+	0.121404i
$879$	−5.16884	−	1.88130i	−0.174341	−	0.0634548i
$880$	0.718156	−	0.714228i	0.0242090	−	0.0240766i
$881$	7.53685	−	8.98206i	0.253923	−	0.302613i	−0.623992	−	0.781431i	$-0.714490\pi$
$881$	7.53685	−	8.98206i	0.253923	−	0.302613i	0.877914	+	0.478818i	$0.158934\pi$
$882$	−37.6280	+	10.0548i	−1.26700	+	0.338562i
$883$	2.15993	+	24.6881i	0.0726874	+	0.830821i	0.941793	+	0.336194i	$0.109140\pi$
$883$	2.15993	+	24.6881i	0.0726874	+	0.830821i	−0.869105	+	0.494627i	$0.835305\pi$
$884$	−21.7234	+	25.8169i	−0.730635	+	0.868317i
$885$	−4.12593	−	0.727512i	−0.138692	−	0.0244551i
$886$	−32.5152	+	15.1350i	−1.09237	+	0.508469i
$887$	−9.92345			−0.333197			−0.166598	−	0.986025i	$-0.553278\pi$
$887$	−9.92345			−0.333197			−0.166598	+	0.986025i	$0.553278\pi$
$888$	11.9077	+	17.6519i	0.399596	+	0.592357i
$889$	30.6031			1.02640
$890$	−1.01353	+	0.471770i	−0.0339735	+	0.0158138i
$891$	−2.46425	−	0.434513i	−0.0825554	−	0.0145567i
$892$	33.9448	+	28.5624i	1.13655	+	0.956341i
$893$	−2.47347	−	28.2719i	−0.0827716	−	0.946083i
$894$	−20.3155	+	5.42859i	−0.679451	+	0.181559i
$895$	1.54221	−	1.83793i	0.0515503	−	0.0614352i
$896$	−40.4056	−	40.7952i	−1.34986	−	1.36287i
$897$	42.8042	+	15.5795i	1.42919	+	0.520183i
$898$	−9.66215	−	16.7619i	−0.322430	−	0.559351i
$899$	9.28670	−	5.36168i	0.309729	−	0.178822i
$900$	11.1236	−	9.30785i	0.370787	−	0.310262i
$901$	−13.5528	−	6.31976i	−0.451508	−	0.210542i
$902$	−0.819886	+	3.05149i	−0.0272992	+	0.101603i
$903$	−1.51052	+	17.2654i	−0.0502670	+	0.574555i
$904$	−18.0513	+	15.0837i	−0.600378	+	0.501677i
$905$	1.56645	−	0.730448i	0.0520706	−	0.0242809i
$906$	28.1091	−	2.43982i	0.933863	−	0.0810574i
$907$	−23.8984	−	34.1305i	−0.793534	−	1.13328i	−0.988313	−	0.152437i	$-0.951288\pi$
$907$	−23.8984	−	34.1305i	−0.793534	−	1.13328i	0.194779	−	0.980847i	$-0.437601\pi$
$908$	5.60530	−	7.98189i	0.186019	−	0.264888i
$909$	−12.8702	+	10.7994i	−0.426877	+	0.358193i
$910$	4.41274	−	6.29286i	0.146281	−	0.208606i
$911$	−46.3651	+	12.4235i	−1.53614	+	0.411609i	−0.925018	−	0.379924i	$-0.875950\pi$
$911$	−46.3651	+	12.4235i	−1.53614	+	0.411609i	−0.611127	+	0.791533i	$0.709283\pi$
$912$	20.2726	−	14.1124i	0.671293	−	0.467307i
$913$	−3.22440	+	0.568548i	−0.106712	+	0.0188162i
$914$	34.9991	+	0.0239899i	1.15767	+	0.000793517i
$915$	1.59377	+	0.920164i	0.0526884	+	0.0304197i
$916$	0.714722	+	4.08614i	0.0236151	+	0.135010i
$917$	−22.1256	−	5.92853i	−0.730650	−	0.195777i
$918$	−10.3815	−	28.5838i	−0.342639	−	0.943404i
$919$	−24.9929	+	24.9929i	−0.824439	+	0.824439i	−0.986741	−	0.162302i	$-0.948108\pi$
$919$	−24.9929	+	24.9929i	−0.824439	+	0.824439i	0.162302	+	0.986741i	$0.448108\pi$
$920$	−0.504056	−	5.90112i	−0.0166182	−	0.194554i
$921$	−2.19668	+	0.799525i	−0.0723829	+	0.0263452i
$922$	−4.88895	+	5.81832i	−0.161009	+	0.191616i
$923$	40.4790	+	28.3437i	1.33238	+	0.932945i
$924$	−6.42823	−	11.1694i	−0.211473	−	0.367445i
$925$	−28.0704	−	10.7073i	−0.922950	−	0.352055i
$926$	−28.1533	−	16.2801i	−0.925175	−	0.534996i
$927$	−1.67965	−	1.17610i	−0.0551669	−	0.0386283i
$928$	−20.9436	+	7.54167i	−0.687508	+	0.247567i
$929$	11.1235	+	30.5615i	0.364950	+	1.00269i	0.977255	+	0.212069i	$0.0680202\pi$
$929$	11.1235	+	30.5615i	0.364950	+	1.00269i	−0.612305	+	0.790622i	$0.709758\pi$
$930$	0.498263	−	1.06662i	0.0163387	−	0.0349758i
$931$	66.1774	−	66.1774i	2.16888	−	2.16888i
$932$	−3.70775	+	20.8604i	−0.121451	+	0.683305i
$933$	−6.02596	+	22.4892i	−0.197281	+	0.736264i
$934$	−15.3026	+	12.8226i	−0.500717	+	0.419567i
$935$	0.852703	+	0.492309i	0.0278864	+	0.0161002i
$936$	8.97678	+	15.6223i	0.293415	+	0.510632i
$937$	−4.85538	−	27.5362i	−0.158618	−	0.899569i	−0.955403	−	0.295305i	$-0.904579\pi$
$937$	−4.85538	−	27.5362i	−0.158618	−	0.899569i	0.796785	−	0.604263i	$-0.206532\pi$
$938$	77.7264	−	54.3452i	2.53786	−	1.77443i
$939$	5.63941	−	1.51108i	0.184035	−	0.0493121i
$940$	1.18314	+	2.54635i	0.0385896	+	0.0830528i
$941$	25.3521	+	30.2134i	0.826453	+	0.984929i	1.00000		0.000103104i	$3.28189e-5\pi$
$941$	25.3521	+	30.2134i	0.826453	+	0.984929i	−0.173547	+	0.984826i	$0.555523\pi$
$942$	−25.9242	−	2.28598i	−0.844655	−	0.0744812i
$943$	10.5976	+	15.1349i	0.345104	+	0.492860i
$944$	54.6636	−	4.63146i	1.77915	−	0.150741i
$945$	2.92762	+	6.27830i	0.0952355	+	0.204233i
$946$	3.94287	−	0.692448i	0.128194	−	0.0225134i
$947$	3.90654	−	44.6520i	0.126945	−	1.45099i	−0.619212	−	0.785224i	$-0.712548\pi$
$947$	3.90654	−	44.6520i	0.126945	−	1.45099i	0.746157	−	0.665770i	$-0.231897\pi$
$948$	2.82975	+	2.83752i	0.0919062	+	0.0921585i
$949$	−6.60178	+	14.1576i	−0.214303	+	0.459574i
$950$	−11.9426	+	32.7421i	−0.387468	+	1.06229i
$951$	−6.74473	+	3.89407i	−0.218713	+	0.126274i
$952$	28.0082	−	48.2820i	0.907750	−	1.56483i
$953$	18.6594	−	51.2663i	0.604437	−	1.66068i	−0.137736	−	0.990469i	$-0.543982\pi$
$953$	18.6594	−	51.2663i	0.604437	−	1.66068i	0.742173	−	0.670208i	$-0.233795\pi$
$954$	−5.65048	+	5.64274i	−0.182941	+	0.182690i
$955$	0.905103	−	1.07866i	0.0292884	−	0.0349046i
$956$	22.6131	+	6.09240i	0.731360	+	0.197042i
$957$	−4.97709	+	0.435439i	−0.160886	+	0.0140757i
$958$	23.9565	+	4.24110i	0.773998	+	0.137024i
$959$	64.0003	+	11.2850i	2.06668	+	0.364411i
$960$	−1.40994	+	1.99608i	−0.0455055	+	0.0644231i
$961$			23.5740i			0.760450i
$962$	19.1762	−	32.0178i	0.618267	−	1.03230i
$963$	−20.3831			−0.656838
$964$	−18.4228	−	1.63724i	−0.593360	−	0.0527320i
$965$	−0.489510	+	2.77615i	−0.0157579	+	0.0893674i
$966$	−74.2028	−	13.1364i	−2.38743	−	0.422657i
$967$	−1.64208	−	18.7691i	−0.0528059	−	0.603574i	−0.975786	−	0.218727i	$-0.929810\pi$
$967$	−1.64208	−	18.7691i	−0.0528059	−	0.603574i	0.922980	−	0.384847i	$-0.125746\pi$
$968$	19.9360	−	19.8542i	0.640769	−	0.638139i
$969$	18.3946	+	15.4349i	0.590918	+	0.495839i
$970$	3.57358	+	3.57848i	0.114741	+	0.114898i
$971$	−11.7667	−	4.28273i	−0.377612	−	0.137439i	0.146239	−	0.989249i	$-0.453283\pi$
$971$	−11.7667	−	4.28273i	−0.377612	−	0.137439i	−0.523851	+	0.851810i	$0.675505\pi$
$972$	−27.1428	−	0.0372098i	−0.870605	−	0.00119350i
$973$	6.04946	+	10.4780i	0.193937	+	0.335909i
$974$	−8.66123	+	23.7459i	−0.277524	+	0.760867i
$975$	24.0352	+	11.2078i	0.769741	+	0.358936i
$976$	−23.2594	−	6.30075i	−0.744517	−	0.201682i
$977$	10.7174	+	0.937650i	0.342880	+	0.0299981i	0.257295	−	0.966333i	$-0.417169\pi$
$977$	10.7174	+	0.937650i	0.342880	+	0.0299981i	0.0855844	+	0.996331i	$0.472724\pi$
$978$	−5.89494	−	33.5664i	−0.188500	−	1.07334i
$979$	2.97771	−	1.38853i	0.0951680	−	0.0443776i
$980$	−3.92466	+	8.38642i	−0.125369	+	0.267894i
$981$	−4.95982	+	3.47290i	−0.158355	+	0.110881i
$982$	−3.88905	−	0.342934i	−0.124105	−	0.0109435i
$983$	22.0836	−	18.5303i	0.704357	−	0.591026i	−0.218652	−	0.975803i	$-0.570166\pi$
$983$	22.0836	−	18.5303i	0.704357	−	0.591026i	0.923010	+	0.384777i	$0.125722\pi$
$984$	0.680072	−	7.59339i	0.0216799	−	0.242068i
$985$	−0.176223	−	0.657671i	−0.00561492	−	0.0209552i
$986$	−12.3998	−	17.7346i	−0.394890	−	0.564784i
$987$	35.1824	−	6.20360i	1.11987	−	0.197463i
$988$	−37.4648	−	21.6989i	−1.19192	−	0.690333i
$989$	11.7043	−	20.2724i	0.372175	−	0.644626i
$990$	0.403015	−	0.337699i	0.0128087	−	0.0107328i
$991$	19.2132	+	5.14817i	0.610328	+	0.163537i	0.550727	−	0.834685i	$-0.314351\pi$
$991$	19.2132	+	5.14817i	0.610328	+	0.163537i	0.0596009	+	0.998222i	$0.481017\pi$
$992$	−2.72886	+	15.1719i	−0.0866415	+	0.481708i
$993$	−22.2152	−	22.2152i	−0.704979	−	0.704979i
$994$	−74.0667	−	34.5997i	−2.34925	−	1.09744i
$995$	−0.333867	+	0.121518i	−0.0105843	+	0.00385237i
$996$	7.42714	−	2.69173i	0.235338	−	0.0852908i
$997$	−17.1110	+	24.4371i	−0.541911	+	0.773929i	−0.992945	−	0.118578i	$-0.962167\pi$
$997$	−17.1110	+	24.4371i	−0.541911	+	0.773929i	0.451034	+	0.892507i	$0.351055\pi$
$998$	−32.4843	−	18.7845i	−1.02827	−	0.594614i
$999$	16.3700	+	29.3860i	0.517925	+	0.929730i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	296.2.bj.a.131.25	yes	432
8.3	odd	2	inner	296.2.bj.a.131.2	✓	432
37.13	odd	36	inner	296.2.bj.a.235.2	yes	432
296.235	even	36	inner	296.2.bj.a.235.25	yes	432

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
296.2.bj.a.131.2	✓	432	8.3	odd	2	inner
296.2.bj.a.131.25	yes	432	1.1	even	1	trivial
296.2.bj.a.235.2	yes	432	37.13	odd	36	inner
296.2.bj.a.235.25	yes	432	296.235	even	36	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 296 = 2^{3} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	296.bj (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.596794 + 1.28212i) q^{2} +(1.21881 + 0.214910i) q^{3} +(-1.28767 + 1.53033i) q^{4} +(0.0215124 + 0.245888i) q^{5} +(0.451840 + 1.69092i) q^{6} +(-3.26221 + 3.88776i) q^{7} +(-2.73054 - 0.737667i) q^{8} +(-1.37976 - 0.502191i) q^{9} +(-0.302420 + 0.174326i) q^{10} +(0.888432 - 0.512936i) q^{11} +(-1.89832 + 1.58845i) q^{12} +(3.93202 + 1.83353i) q^{13} +(-6.93145 - 1.86237i) q^{14} +(-0.0266241 + 0.304315i) q^{15} +(-0.683790 - 3.94112i) q^{16} +(3.52417 - 1.64335i) q^{17} +(-0.179561 - 2.06872i) q^{18} +(2.86193 + 4.08726i) q^{19} +(-0.403989 - 0.283702i) q^{20} +(-4.81155 + 4.03737i) q^{21} +(1.18786 + 0.832961i) q^{22} +(8.19443 - 2.19569i) q^{23} +(-3.16949 - 1.48590i) q^{24} +(4.86404 - 0.857662i) q^{25} +(-0.00420559 + 6.13556i) q^{26} +(-4.78916 - 2.76502i) q^{27} +(-1.74886 - 9.99841i) q^{28} +(-3.80098 - 1.01847i) q^{29} +(-0.406058 + 0.147478i) q^{30} +(-1.92692 + 1.92692i) q^{31} +(4.64492 - 3.22874i) q^{32} +(1.19307 - 0.434241i) q^{33} +(4.21018 + 3.53768i) q^{34} +(-1.02613 - 0.718504i) q^{35} +(2.54519 - 1.46482i) q^{36} +(-5.22054 - 3.12185i) q^{37} +(-3.53239 + 6.10860i) q^{38} +(4.39835 + 3.07976i) q^{39} +(0.122643 - 0.687275i) q^{40} +(0.744888 + 2.04656i) q^{41} +(-8.04790 - 3.75952i) q^{42} +(1.95113 - 1.95113i) q^{43} +(-0.359051 + 2.02008i) q^{44} +(0.0938006 - 0.350069i) q^{45} +(7.70553 + 9.19589i) q^{46} +(-4.92576 - 2.84389i) q^{47} +(0.0135731 - 4.95045i) q^{48} +(-3.25707 - 18.4717i) q^{49} +(4.00246 + 5.72445i) q^{50} +(4.64848 - 1.24556i) q^{51} +(-7.86905 + 3.65627i) q^{52} +(-2.47194 - 2.94595i) q^{53} +(0.686956 - 7.79044i) q^{54} +(0.145237 + 0.207420i) q^{55} +(11.7755 - 8.20924i) q^{56} +(2.60977 + 5.59667i) q^{57} +(-0.962599 - 5.48114i) q^{58} +(-1.19533 + 13.6627i) q^{59} +(-0.431417 - 0.432602i) q^{60} +(2.54604 - 5.45999i) q^{61} +(-3.62052 - 1.32057i) q^{62} +(6.45346 - 3.72591i) q^{63} +(6.91169 + 4.02846i) q^{64} +(-0.366255 + 1.00628i) q^{65} +(1.26877 + 1.27051i) q^{66} +(-8.49382 + 10.1225i) q^{67} +(-2.02313 + 7.50923i) q^{68} +(10.4594 - 0.915076i) q^{69} +(0.308822 - 1.74442i) q^{70} +(11.2170 + 1.97786i) q^{71} +(3.39703 + 2.38905i) q^{72} +3.60059i q^{73} +(0.887000 - 8.55647i) q^{74} +6.11268 q^{75} +(-9.94008 - 0.883377i) q^{76} +(-0.904084 + 5.12731i) q^{77} +(-1.32372 + 7.47720i) q^{78} +(-0.141104 - 1.61283i) q^{79} +(0.954363 - 0.252918i) q^{80} +(-1.86850 - 1.56786i) q^{81} +(-2.17940 + 2.17641i) q^{82} +(-2.99909 - 1.09158i) q^{83} +(0.0172212 - 12.5621i) q^{84} +(0.479893 + 0.831198i) q^{85} +(3.66600 + 1.33716i) q^{86} +(-4.41381 - 2.05819i) q^{87} +(-2.80427 + 0.745226i) q^{88} +(3.19049 + 0.279132i) q^{89} +(0.504810 - 0.0886550i) q^{90} +(-19.9554 + 9.30535i) q^{91} +(-7.19164 + 15.3675i) q^{92} +(-2.76267 + 1.93444i) q^{93} +(0.706550 - 8.01264i) q^{94} +(-0.943441 + 0.791641i) q^{95} +(6.35518 - 2.93699i) q^{96} +(-3.74977 - 13.9943i) q^{97} +(21.7392 - 15.1998i) q^{98} +(-1.48341 + 0.261565i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 432 q - 12 q^{2} - 24 q^{3} - 18 q^{4} - 12 q^{6} - 6 q^{8} - 24 q^{9} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{14} + 18 q^{16} - 24 q^{17} - 42 q^{18} - 24 q^{19} - 12 q^{20} - 24 q^{22} - 84 q^{24}+ \cdots - 132 q^{99}+O(q^{100}) \) 432 * q - 12 * q^2 - 24 * q^3 - 18 * q^4 - 12 * q^6 - 6 * q^8 - 24 * q^9 - 6 * q^10 - 36 * q^11 - 12 * q^12 - 12 * q^14 + 18 * q^16 - 24 * q^17 - 42 * q^18 - 24 * q^19 - 12 * q^20 - 24 * q^22 - 84 * q^24 - 12 * q^25 - 6 * q^26 - 36 * q^27 - 12 * q^28 - 36 * q^30 - 42 * q^32 - 60 * q^33 - 12 * q^34 - 24 * q^35 + 60 * q^38 - 12 * q^40 - 24 * q^41 - 12 * q^42 - 6 * q^44 + 48 * q^46 - 18 * q^48 + 24 * q^49 - 42 * q^50 + 96 * q^51 - 42 * q^52 - 72 * q^54 - 12 * q^56 - 24 * q^57 + 48 * q^58 - 24 * q^59 + 144 * q^60 - 72 * q^62 + 108 * q^64 - 84 * q^65 - 168 * q^66 - 24 * q^67 - 18 * q^68 - 186 * q^70 + 234 * q^72 - 150 * q^74 - 48 * q^75 + 42 * q^76 - 222 * q^78 + 120 * q^80 - 60 * q^81 - 24 * q^82 - 24 * q^83 + 126 * q^84 - 54 * q^86 - 24 * q^89 + 72 * q^90 - 24 * q^91 + 114 * q^92 - 24 * q^94 + 72 * q^96 - 24 * q^97 - 114 * q^98 - 132 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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