LMFDB - Embedded newform 273.2.by.d.97.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(76,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 6, 7]))

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

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

chi := DirichletCharacter("273.76");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.by (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$8$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			97.7
Character	$\chi$	$=$	273.97
Dual form			273.2.by.d.76.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.385482 + 1.43864i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-0.189037 + 0.109141i) q^{4} +(-1.07205 - 1.07205i) q^{5} +(0.385482 - 1.43864i) q^{6} +(1.81743 - 1.92274i) q^{7} +(1.87643 + 1.87643i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(q+(0.385482 + 1.43864i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-0.189037 + 0.109141i) q^{4} +(-1.07205 - 1.07205i) q^{5} +(0.385482 - 1.43864i) q^{6} +(1.81743 - 1.92274i) q^{7} +(1.87643 + 1.87643i) q^{8} +(0.500000 + 0.866025i) q^{9} +(1.12904 - 1.95556i) q^{10} +(1.68564 - 0.451666i) q^{11} +0.218281 q^{12} +(3.51131 - 0.818944i) q^{13} +(3.46672 + 1.87345i) q^{14} +(0.392399 + 1.46445i) q^{15} +(-2.19446 + 3.80091i) q^{16} +(1.43508 + 2.48563i) q^{17} +(-1.05316 + 1.05316i) q^{18} +(0.389597 - 1.45400i) q^{19} +(0.319663 + 0.0856533i) q^{20} +(-2.53531 + 0.756429i) q^{21} +(1.29957 + 2.25092i) q^{22} +(-3.21155 - 1.85419i) q^{23} +(-0.686821 - 2.56325i) q^{24} -2.70140i q^{25} +(2.53172 + 4.73583i) q^{26} -1.00000i q^{27} +(-0.133713 + 0.561826i) q^{28} +(-1.65473 + 2.86608i) q^{29} +(-1.95556 + 1.12904i) q^{30} +(1.32380 + 1.32380i) q^{31} +(-1.18757 - 0.318208i) q^{32} +(-1.68564 - 0.451666i) q^{33} +(-3.02273 + 3.02273i) q^{34} +(-4.00967 + 0.112899i) q^{35} +(-0.189037 - 0.109141i) q^{36} +(-5.83082 + 1.56236i) q^{37} +2.24196 q^{38} +(-3.45036 - 1.04643i) q^{39} -4.02327i q^{40} +(-3.10007 + 0.830662i) q^{41} +(-2.06555 - 3.35581i) q^{42} +(3.29020 - 1.89960i) q^{43} +(-0.269354 + 0.269354i) q^{44} +(0.392399 - 1.46445i) q^{45} +(1.42951 - 5.33502i) q^{46} +(-5.86346 + 5.86346i) q^{47} +(3.80091 - 2.19446i) q^{48} +(-0.393883 - 6.98891i) q^{49} +(3.88635 - 1.04134i) q^{50} -2.87016i q^{51} +(-0.574389 + 0.538038i) q^{52} -1.37219 q^{53} +(1.43864 - 0.385482i) q^{54} +(-2.29131 - 1.32289i) q^{55} +(7.01818 - 0.197610i) q^{56} +(-1.06440 + 1.06440i) q^{57} +(-4.76112 - 1.27574i) q^{58} +(0.967827 + 0.259328i) q^{59} +(-0.234009 - 0.234009i) q^{60} +(-0.0305081 + 0.0176138i) q^{61} +(-1.39417 + 2.41477i) q^{62} +(2.57386 + 0.612570i) q^{63} +6.94669i q^{64} +(-4.64227 - 2.88636i) q^{65} -2.59914i q^{66} +(-1.26183 - 4.70921i) q^{67} +(-0.542567 - 0.313251i) q^{68} +(1.85419 + 3.21155i) q^{69} +(-1.70808 - 5.72495i) q^{70} +(11.4087 + 3.05695i) q^{71} +(-0.686821 + 2.56325i) q^{72} +(-11.3351 + 11.3351i) q^{73} +(-4.49535 - 7.78618i) q^{74} +(-1.35070 + 2.33948i) q^{75} +(0.0850419 + 0.317381i) q^{76} +(2.19510 - 4.06193i) q^{77} +(0.175384 - 5.36721i) q^{78} -3.53025 q^{79} +(6.42736 - 1.72221i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-2.39005 - 4.13968i) q^{82} +(-10.8414 - 10.8414i) q^{83} +(0.396712 - 0.419699i) q^{84} +(1.12625 - 4.20321i) q^{85} +(4.00116 + 4.00116i) q^{86} +(2.86608 - 1.65473i) q^{87} +(4.01051 + 2.31547i) q^{88} +(2.02252 + 7.54814i) q^{89} +2.25808 q^{90} +(4.80695 - 8.23973i) q^{91} +0.809469 q^{92} +(-0.484543 - 1.80834i) q^{93} +(-10.6957 - 6.17514i) q^{94} +(-1.97643 + 1.14109i) q^{95} +(0.869359 + 0.869359i) q^{96} +(-2.46851 + 9.21262i) q^{97} +(9.90269 - 3.26076i) q^{98} +(1.23397 + 1.23397i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q - 2 q^{2} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 16 q^{9}+O(q^{10}) $ 32 * q - 2 * q^2 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 + 16 * q^9	$ 32 q - 2 q^{2} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 16 q^{9} + 2 q^{10} - 4 q^{11} + 32 q^{12} + 6 q^{13} + 34 q^{14} + 4 q^{15} + 14 q^{16} - 8 q^{17} + 2 q^{18} + 2 q^{19} + 44 q^{20} - 4 q^{21} - 4 q^{22} - 18 q^{23} + 4 q^{24} - 28 q^{26} - 32 q^{28} - 18 q^{29} - 14 q^{31} - 8 q^{32} + 4 q^{33} - 66 q^{34} + 22 q^{35} + 6 q^{36} - 24 q^{37} + 24 q^{38} + 8 q^{39} - 26 q^{42} - 6 q^{43} - 20 q^{44} + 4 q^{45} - 58 q^{46} - 28 q^{47} - 60 q^{48} + 8 q^{49} + 70 q^{50} + 28 q^{52} - 80 q^{53} - 4 q^{54} + 60 q^{55} - 54 q^{56} + 16 q^{57} - 4 q^{58} - 42 q^{59} - 58 q^{60} + 36 q^{61} + 52 q^{62} + 4 q^{63} + 14 q^{65} + 26 q^{67} - 72 q^{68} + 2 q^{69} - 116 q^{70} - 4 q^{71} + 4 q^{72} + 12 q^{73} - 18 q^{74} + 16 q^{75} - 48 q^{76} + 28 q^{77} - 14 q^{78} - 4 q^{79} - 98 q^{80} - 16 q^{81} + 20 q^{82} - 36 q^{83} - 18 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} - 54 q^{89} + 4 q^{90} + 148 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} + 22 q^{96} - 40 q^{97} + 36 q^{98} + 4 q^{99}+O(q^{100}) $ 32 * q - 2 * q^2 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 + 16 * q^9 + 2 * q^10 - 4 * q^11 + 32 * q^12 + 6 * q^13 + 34 * q^14 + 4 * q^15 + 14 * q^16 - 8 * q^17 + 2 * q^18 + 2 * q^19 + 44 * q^20 - 4 * q^21 - 4 * q^22 - 18 * q^23 + 4 * q^24 - 28 * q^26 - 32 * q^28 - 18 * q^29 - 14 * q^31 - 8 * q^32 + 4 * q^33 - 66 * q^34 + 22 * q^35 + 6 * q^36 - 24 * q^37 + 24 * q^38 + 8 * q^39 - 26 * q^42 - 6 * q^43 - 20 * q^44 + 4 * q^45 - 58 * q^46 - 28 * q^47 - 60 * q^48 + 8 * q^49 + 70 * q^50 + 28 * q^52 - 80 * q^53 - 4 * q^54 + 60 * q^55 - 54 * q^56 + 16 * q^57 - 4 * q^58 - 42 * q^59 - 58 * q^60 + 36 * q^61 + 52 * q^62 + 4 * q^63 + 14 * q^65 + 26 * q^67 - 72 * q^68 + 2 * q^69 - 116 * q^70 - 4 * q^71 + 4 * q^72 + 12 * q^73 - 18 * q^74 + 16 * q^75 - 48 * q^76 + 28 * q^77 - 14 * q^78 - 4 * q^79 - 98 * q^80 - 16 * q^81 + 20 * q^82 - 36 * q^83 - 18 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 - 54 * q^89 + 4 * q^90 + 148 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 + 22 * q^96 - 40 * q^97 + 36 * q^98 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{5}{12}\right)$	$-1$

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 $

$2$	0.385482	+	1.43864i	0.272577	+	1.01727i	0.957448	+	0.288607i	$0.0931921\pi$
$2$	0.385482	+	1.43864i	0.272577	+	1.01727i	−0.684870	+	0.728665i	$0.740141\pi$
$3$	−0.866025	−	0.500000i	−0.500000	−	0.288675i
$3$	−0.866025	−	0.500000i	−0.500000	−	0.288675i
$4$	−0.189037	+	0.109141i	−0.0945186	+	0.0545703i
$5$	−1.07205	−	1.07205i	−0.479437	−	0.479437i	0.425515	−	0.904952i	$-0.360093\pi$
$5$	−1.07205	−	1.07205i	−0.479437	−	0.479437i	−0.904952	+	0.425515i	$0.860093\pi$
$6$	0.385482	−	1.43864i	0.157373	−	0.587322i
$7$	1.81743	−	1.92274i	0.686925	−	0.726729i
$7$	1.81743	−	1.92274i	0.686925	−	0.726729i
$8$	1.87643	+	1.87643i	0.663418	+	0.663418i
$9$	0.500000	+	0.866025i	0.166667	+	0.288675i
$10$	1.12904	−	1.95556i	0.357034	−	0.618401i
$11$	1.68564	−	0.451666i	0.508240	−	0.136182i	0.00441837	−	0.999990i	$-0.498594\pi$
$11$	1.68564	−	0.451666i	0.508240	−	0.136182i	0.503822	+	0.863808i	$0.331927\pi$
$12$	0.218281			0.0630124
$13$	3.51131	−	0.818944i	0.973863	−	0.227134i
$13$	3.51131	−	0.818944i	0.973863	−	0.227134i
$14$	3.46672	+	1.87345i	0.926521	+	0.500700i
$15$	0.392399	+	1.46445i	0.101317	+	0.378120i
$16$	−2.19446	+	3.80091i	−0.548614	+	0.950228i
$17$	1.43508	+	2.48563i	0.348058	+	0.602854i	0.985904	−	0.167310i	$-0.0535079\pi$
$17$	1.43508	+	2.48563i	0.348058	+	0.602854i	−0.637847	+	0.770164i	$0.720175\pi$
$18$	−1.05316	+	1.05316i	−0.248232	+	0.248232i
$19$	0.389597	−	1.45400i	0.0893798	−	0.333570i	−0.906728	−	0.421717i	$-0.861428\pi$
$19$	0.389597	−	1.45400i	0.0893798	−	0.333570i	0.996108	+	0.0881466i	$0.0280944\pi$
$20$	0.319663	+	0.0856533i	0.0714787	+	0.0191527i
$21$	−2.53531	+	0.756429i	−0.553251	+	0.165066i
$22$	1.29957	+	2.25092i	0.277069	+	0.479898i
$23$	−3.21155	−	1.85419i	−0.669654	−	0.386625i	0.126292	−	0.991993i	$-0.459693\pi$
$23$	−3.21155	−	1.85419i	−0.669654	−	0.386625i	−0.795946	+	0.605368i	$0.793026\pi$
$24$	−0.686821	−	2.56325i	−0.140197	−	0.523222i
$25$		−	2.70140i		−	0.540281i
$26$	2.53172	+	4.73583i	0.496510	+	0.928772i
$27$		−	1.00000i		−	0.192450i
$28$	−0.133713	+	0.561826i	−0.0252693	+	0.106175i
$29$	−1.65473	+	2.86608i	−0.307276	+	0.532217i	−0.977765	−	0.209702i	$-0.932751\pi$
$29$	−1.65473	+	2.86608i	−0.307276	+	0.532217i	0.670490	+	0.741919i	$0.266084\pi$
$30$	−1.95556	+	1.12904i	−0.357034	+	0.206134i
$31$	1.32380	+	1.32380i	0.237761	+	0.237761i	0.815922	−	0.578161i	$-0.196230\pi$
$31$	1.32380	+	1.32380i	0.237761	+	0.237761i	−0.578161	+	0.815922i	$0.696230\pi$
$32$	−1.18757	−	0.318208i	−0.209934	−	0.0562517i
$33$	−1.68564	−	0.451666i	−0.293432	−	0.0786250i
$34$	−3.02273	+	3.02273i	−0.518394	+	0.518394i
$35$	−4.00967	+	0.112899i	−0.677757	+	0.0190835i
$36$	−0.189037	−	0.109141i	−0.0315062	−	0.0181901i
$37$	−5.83082	+	1.56236i	−0.958580	+	0.256851i	−0.703999	−	0.710201i	$-0.748604\pi$
$37$	−5.83082	+	1.56236i	−0.958580	+	0.256851i	−0.254581	+	0.967051i	$0.581938\pi$
$38$	2.24196			0.363694
$39$	−3.45036	−	1.04643i	−0.552500	−	0.167563i
$40$		−	4.02327i		−	0.636134i
$41$	−3.10007	+	0.830662i	−0.484150	+	0.129728i	−0.492634	−	0.870236i	$-0.663966\pi$
$41$	−3.10007	+	0.830662i	−0.484150	+	0.129728i	0.00848433	+	0.999964i	$0.497299\pi$
$42$	−2.06555	−	3.35581i	−0.318721	−	0.517813i
$43$	3.29020	−	1.89960i	0.501751	−	0.289686i	−0.227685	−	0.973735i	$-0.573116\pi$
$43$	3.29020	−	1.89960i	0.501751	−	0.289686i	0.729436	+	0.684049i	$0.239782\pi$
$44$	−0.269354	+	0.269354i	−0.0406066	+	0.0406066i
$45$	0.392399	−	1.46445i	0.0584954	−	0.218308i
$46$	1.42951	−	5.33502i	0.210770	−	0.786605i
$47$	−5.86346	+	5.86346i	−0.855273	+	0.855273i	−0.990777	−	0.135504i	$-0.956735\pi$
$47$	−5.86346	+	5.86346i	−0.855273	+	0.855273i	0.135504	+	0.990777i	$0.456735\pi$
$48$	3.80091	−	2.19446i	0.548614	−	0.316743i
$49$	−0.393883	−	6.98891i	−0.0562690	−	0.998416i
$50$	3.88635	−	1.04134i	0.549612	−	0.147268i
$51$		−	2.87016i		−	0.401903i
$52$	−0.574389	+	0.538038i	−0.0796534	+	0.0746125i
$53$	−1.37219			−0.188484			−0.0942422	−	0.995549i	$-0.530043\pi$
$53$	−1.37219			−0.188484			−0.0942422	+	0.995549i	$0.530043\pi$
$54$	1.43864	−	0.385482i	0.195774	−	0.0524575i
$55$	−2.29131	−	1.32289i	−0.308960	−	0.178378i
$56$	7.01818	−	0.197610i	0.937843	−	0.0264067i
$57$	−1.06440	+	1.06440i	−0.140983	+	0.140983i
$58$	−4.76112	−	1.27574i	−0.625166	−	0.167513i
$59$	0.967827	+	0.259328i	0.126000	+	0.0337617i	0.321268	−	0.946988i	$-0.395891\pi$
$59$	0.967827	+	0.259328i	0.126000	+	0.0337617i	−0.195268	+	0.980750i	$0.562558\pi$
$60$	−0.234009	−	0.234009i	−0.0302105	−	0.0302105i
$61$	−0.0305081	+	0.0176138i	−0.00390616	+	0.00225522i	−0.501952	−	0.864896i	$-0.667385\pi$
$61$	−0.0305081	+	0.0176138i	−0.00390616	+	0.00225522i	0.498046	+	0.867151i	$0.334051\pi$
$62$	−1.39417	+	2.41477i	−0.177059	+	0.306676i
$63$	2.57386	+	0.612570i	0.324276	+	0.0771766i
$64$			6.94669i			0.868336i
$65$	−4.64227	−	2.88636i	−0.575803	−	0.358009i
$66$		−	2.59914i		−	0.319932i
$67$	−1.26183	−	4.70921i	−0.154157	−	0.575322i	−0.999176	−	0.0405858i	$-0.987078\pi$
$67$	−1.26183	−	4.70921i	−0.154157	−	0.575322i	0.845019	−	0.534736i	$-0.179589\pi$
$68$	−0.542567	−	0.313251i	−0.0657959	−	0.0379873i
$69$	1.85419	+	3.21155i	0.223218	+	0.386625i
$70$	−1.70808	−	5.72495i	−0.204154	−	0.684262i
$71$	11.4087	+	3.05695i	1.35396	+	0.362793i	0.861595	−	0.507596i	$-0.169466\pi$
$71$	11.4087	+	3.05695i	1.35396	+	0.362793i	0.492366	+	0.870388i	$0.336132\pi$
$72$	−0.686821	+	2.56325i	−0.0809427	+	0.302082i
$73$	−11.3351	+	11.3351i	−1.32667	+	1.32667i	−0.418410	+	0.908258i	$0.637413\pi$
$73$	−11.3351	+	11.3351i	−1.32667	+	1.32667i	−0.908258	+	0.418410i	$0.862587\pi$
$74$	−4.49535	−	7.78618i	−0.522574	−	0.905125i
$75$	−1.35070	+	2.33948i	−0.155966	+	0.270140i
$76$	0.0850419	+	0.317381i	0.00975497	+	0.0364061i
$77$	2.19510	−	4.06193i	0.250155	−	0.462900i
$78$	0.175384	−	5.36721i	0.0198583	−	0.607716i
$79$	−3.53025			−0.397184			−0.198592	−	0.980082i	$-0.563637\pi$
$79$	−3.53025			−0.397184			−0.198592	+	0.980082i	$0.563637\pi$
$80$	6.42736	−	1.72221i	0.718600	−	0.192548i
$81$	−0.500000	+	0.866025i	−0.0555556	+	0.0962250i
$82$	−2.39005	−	4.13968i	−0.263937	−	0.457151i
$83$	−10.8414	−	10.8414i	−1.19000	−	1.19000i	−0.977066	−	0.212936i	$-0.931698\pi$
$83$	−10.8414	−	10.8414i	−1.19000	−	1.19000i	−0.212936	−	0.977066i	$-0.568302\pi$
$84$	0.396712	−	0.419699i	0.0432848	−	0.0457929i
$85$	1.12625	−	4.20321i	0.122159	−	0.455902i
$86$	4.00116	+	4.00116i	0.431456	+	0.431456i
$87$	2.86608	−	1.65473i	0.307276	−	0.177406i
$88$	4.01051	+	2.31547i	0.427522	+	0.246830i
$89$	2.02252	+	7.54814i	0.214386	+	0.800101i	0.986382	+	0.164473i	$0.0525922\pi$
$89$	2.02252	+	7.54814i	0.214386	+	0.800101i	−0.771995	+	0.635628i	$0.780741\pi$
$90$	2.25808			0.238023
$91$	4.80695	−	8.23973i	0.503906	−	0.863759i
$92$	0.809469			0.0843930
$93$	−0.484543	−	1.80834i	−0.0502448	−	0.187516i
$94$	−10.6957	−	6.17514i	−1.10317	−	0.636918i
$95$	−1.97643	+	1.14109i	−0.202778	+	0.117074i
$96$	0.869359	+	0.869359i	0.0887286	+	0.0887286i
$97$	−2.46851	+	9.21262i	−0.250640	+	0.935400i	0.719825	+	0.694156i	$0.244222\pi$
$97$	−2.46851	+	9.21262i	−0.250640	+	0.935400i	−0.970465	+	0.241244i	$0.922445\pi$
$98$	9.90269	−	3.26076i	1.00032	−	0.329386i
$99$	1.23397	+	1.23397i	0.124019	+	0.124019i
$100$	0.294833	+	0.510666i	0.0294833	+	0.0510666i
$101$	6.74473	−	11.6822i	0.671125	−	1.16242i	−0.306460	−	0.951883i	$-0.599145\pi$
$101$	6.74473	−	11.6822i	0.671125	−	1.16242i	0.977585	−	0.210540i	$-0.0675221\pi$
$102$	4.12913	−	1.10640i	0.408844	−	0.109550i
$103$	8.93370			0.880264			0.440132	−	0.897933i	$-0.354932\pi$
$103$	8.93370			0.880264			0.440132	+	0.897933i	$0.354932\pi$
$104$	8.12543	+	5.05205i	0.796764	+	0.495394i
$105$	3.52892	+	1.90706i	0.344388	+	0.186110i
$106$	−0.528954	−	1.97408i	−0.0513766	−	0.191740i
$107$	−6.52366	+	11.2993i	−0.630666	+	1.09235i	0.356750	+	0.934200i	$0.383885\pi$
$107$	−6.52366	+	11.2993i	−0.630666	+	1.09235i	−0.987416	+	0.158146i	$0.949448\pi$
$108$	0.109141	+	0.189037i	0.0105021	+	0.0181901i
$109$	−14.0320	+	14.0320i	−1.34402	+	1.34402i	−0.452007	+	0.892015i	$0.649292\pi$
$109$	−14.0320	+	14.0320i	−1.34402	+	1.34402i	−0.892015	+	0.452007i	$0.850708\pi$
$110$	1.01990	−	3.80632i	0.0972436	−	0.362918i
$111$	5.83082	+	1.56236i	0.553436	+	0.148293i
$112$	3.31990	+	11.1273i	0.313701	+	1.05143i
$113$	−5.60312	−	9.70489i	−0.527097	−	0.912959i	−0.999501	−	0.0315769i	$-0.989947\pi$
$113$	−5.60312	−	9.70489i	−0.527097	−	0.912959i	0.472404	−	0.881382i	$-0.343386\pi$
$114$	−1.94160	−	1.12098i	−0.181847	−	0.104989i
$115$	1.45516	+	5.43074i	0.135695	+	0.506419i
$116$		−	0.722393i		−	0.0670725i
$117$	2.46488	+	2.63142i	0.227879	+	0.243274i
$118$			1.49232i			0.137379i
$119$	7.38739	+	1.75817i	0.677201	+	0.161172i
$120$	−2.01163	+	3.48425i	−0.183636	+	0.318067i
$121$	−6.88890	+	3.97731i	−0.626263	+	0.361573i
$122$	−0.0371003	−	0.0371003i	−0.00335890	−	0.00335890i
$123$	3.10007	+	0.830662i	0.279524	+	0.0748983i
$124$	−0.394727	−	0.105767i	−0.0354475	−	0.00949814i
$125$	−8.25632	+	8.25632i	−0.738467	+	0.738467i
$126$	0.110910	+	3.93899i	0.00988061	+	0.350913i
$127$	3.67035	+	2.11908i	0.325691	+	0.188038i	0.653926	−	0.756558i	$-0.273121\pi$
$127$	3.67035	+	2.11908i	0.325691	+	0.188038i	−0.328235	+	0.944596i	$0.606454\pi$
$128$	−12.3689	+	3.31424i	−1.09327	+	0.292940i
$129$	−3.79920			−0.334501
$130$	2.36293	−	7.79120i	0.207242	−	0.683333i
$131$		−	7.27464i		−	0.635589i	−0.948160	−	0.317794i	$-0.897058\pi$
$131$		−	7.27464i		−	0.635589i	0.948160	−	0.317794i	$-0.102942\pi$
$132$	0.367944	−	0.0985903i	0.0320254	−	0.00858119i
$133$	−2.08760	−	3.39164i	−0.181018	−	0.294092i
$134$	6.28845	−	3.63064i	0.543239	−	0.313639i
$135$	−1.07205	+	1.07205i	−0.0922677	+	0.0922677i
$136$	−1.97129	+	7.35694i	−0.169036	+	0.630852i
$137$	−5.38885	+	20.1115i	−0.460400	+	1.71824i	0.211306	+	0.977420i	$0.432228\pi$
$137$	−5.38885	+	20.1115i	−0.460400	+	1.71824i	−0.671706	+	0.740818i	$0.734438\pi$
$138$	−3.90550	+	3.90550i	−0.332459	+	0.332459i
$139$	16.2490	−	9.38137i	1.37822	−	0.795718i	0.386278	−	0.922382i	$-0.373761\pi$
$139$	16.2490	−	9.38137i	1.37822	−	0.795718i	0.991946	+	0.126665i	$0.0404272\pi$
$140$	0.745654	−	0.458960i	0.0630193	−	0.0387892i
$141$	8.00963	−	2.14617i	0.674533	−	0.180741i
$142$			17.5914i			1.47624i
$143$	5.54893	−	2.96639i	0.464025	−	0.248062i
$144$	−4.38892			−0.365743
$145$	4.84654	−	1.29863i	0.402484	−	0.107845i
$146$	−20.6765	−	11.9376i	−1.71120	−	0.987963i
$147$	−3.15334	+	6.24951i	−0.260083	+	0.515451i
$148$	0.931724	−	0.931724i	0.0765872	−	0.0765872i
$149$	−1.73434	−	0.464716i	−0.142083	−	0.0380710i	0.187077	−	0.982345i	$-0.440099\pi$
$149$	−1.73434	−	0.464716i	−0.142083	−	0.0380710i	−0.329160	+	0.944274i	$0.606765\pi$
$150$	−3.88635	−	1.04134i	−0.317319	−	0.0850253i
$151$	14.9709	+	14.9709i	1.21832	+	1.21832i	0.968221	+	0.250095i	$0.0804619\pi$
$151$	14.9709	+	14.9709i	1.21832	+	1.21832i	0.250095	+	0.968221i	$0.419538\pi$
$152$	3.45938	−	1.99727i	0.280593	−	0.162000i
$153$	−1.43508	+	2.48563i	−0.116019	+	0.200951i
$154$	6.68982	+	1.59216i	0.539081	+	0.128300i
$155$		−	2.83836i		−	0.227983i
$156$	0.766455	−	0.178760i	0.0613655	−	0.0143123i
$157$			19.5001i			1.55628i	0.628093	+	0.778138i	$0.283836\pi$
$157$			19.5001i			1.55628i	−0.628093	+	0.778138i	$0.716164\pi$
$158$	−1.36085	−	5.07876i	−0.108263	−	0.404044i
$159$	1.18835	+	0.686094i	0.0942422	+	0.0544108i
$160$	0.931999	+	1.61427i	0.0736810	+	0.127619i
$161$	−9.40190	+	2.80512i	−0.740973	+	0.221075i
$162$	−1.43864	−	0.385482i	−0.113030	−	0.0302864i
$163$	3.90415	−	14.5705i	0.305797	−	1.14125i	−0.626460	−	0.779453i	$-0.715497\pi$
$163$	3.90415	−	14.5705i	0.305797	−	1.14125i	0.932257	−	0.361796i	$-0.117836\pi$
$164$	0.495370	−	0.495370i	0.0386819	−	0.0386819i
$165$	1.32289	+	2.29131i	0.102987	+	0.178378i
$166$	11.4177	−	19.7761i	0.886188	−	1.53492i
$167$	−2.08221	−	7.77093i	−0.161127	−	0.601333i	−0.998503	−	0.0547052i	$-0.982578\pi$
$167$	−2.08221	−	7.77093i	−0.161127	−	0.601333i	0.837376	−	0.546627i	$-0.184089\pi$
$168$	−6.17673	−	3.33795i	−0.476545	−	0.257529i
$169$	11.6587	−	5.75114i	0.896820	−	0.442396i
$170$	6.48105			0.497074
$171$	1.45400	−	0.389597i	0.111190	−	0.0297933i
$172$	−0.414647	+	0.718190i	−0.0316166	+	0.0547615i
$173$	−10.9025	−	18.8837i	−0.828903	−	1.43570i	−0.898899	−	0.438155i	$-0.855632\pi$
$173$	−10.9025	−	18.8837i	−0.828903	−	1.43570i	0.0699960	−	0.997547i	$-0.477701\pi$
$174$	3.48538	+	3.48538i	0.264226	+	0.264226i
$175$	−5.19410	−	4.90962i	−0.392637	−	0.371132i
$176$	−1.98232	+	7.39814i	−0.149423	+	0.557656i
$177$	−0.708498	−	0.708498i	−0.0532540	−	0.0532540i
$178$	−10.0794	+	5.81935i	−0.755484	+	0.436179i
$179$	8.41680	+	4.85944i	0.629101	+	0.363212i	0.780404	−	0.625276i	$-0.215014\pi$
$179$	8.41680	+	4.85944i	0.629101	+	0.363212i	−0.151303	+	0.988487i	$0.548347\pi$
$180$	0.0856533	+	0.319663i	0.00638422	+	0.0238262i
$181$	13.6038			1.01116			0.505580	−	0.862779i	$-0.331278\pi$
$181$	13.6038			1.01116			0.505580	+	0.862779i	$0.331278\pi$
$182$	13.7070	+	3.73921i	1.01603	+	0.277168i
$183$	0.0352277			0.00260411
$184$	−2.54699	−	9.50550i	−0.187767	−	0.700755i
$185$	7.92588	+	4.57601i	0.582722	+	0.336435i
$186$	2.41477	−	1.39417i	0.177059	−	0.102225i
$187$	3.54170	+	3.54170i	0.258995	+	0.258995i
$188$	0.468470	−	1.74835i	0.0341667	−	0.127512i
$189$	−1.92274	−	1.81743i	−0.139859	−	0.132199i
$190$	−2.40350	−	2.40350i	−0.174368	−	0.174368i
$191$	0.423116	+	0.732859i	0.0306156	+	0.0530278i	0.880927	−	0.473252i	$-0.156920\pi$
$191$	0.423116	+	0.732859i	0.0306156	+	0.0530278i	−0.850312	+	0.526280i	$0.823587\pi$
$192$	3.47334	−	6.01601i	0.250667	−	0.434168i
$193$	−1.53179	+	0.410441i	−0.110260	+	0.0295442i	−0.313527	−	0.949579i	$-0.601511\pi$
$193$	−1.53179	+	0.410441i	−0.110260	+	0.0295442i	0.203267	+	0.979123i	$0.434844\pi$
$194$	−14.2052			−1.01987
$195$	2.57714	+	4.82080i	0.184553	+	0.345225i
$196$	0.837233	+	1.27818i	0.0598024	+	0.0912982i
$197$	−1.35016	−	5.03888i	−0.0961951	−	0.359005i	0.901003	−	0.433813i	$-0.142832\pi$
$197$	−1.35016	−	5.03888i	−0.0961951	−	0.359005i	−0.997198	+	0.0748081i	$0.976166\pi$
$198$	−1.29957	+	2.25092i	−0.0923564	+	0.159966i
$199$	−0.678170	−	1.17462i	−0.0480742	−	0.0832670i	0.840987	−	0.541055i	$-0.181975\pi$
$199$	−0.678170	−	1.17462i	−0.0480742	−	0.0832670i	−0.889061	+	0.457788i	$0.848642\pi$
$200$	5.06899	−	5.06899i	0.358432	−	0.358432i
$201$	−1.26183	+	4.70921i	−0.0890026	+	0.332162i
$202$	19.4065	+	5.19995i	1.36543	+	0.365867i
$203$	2.50337	+	8.39052i	0.175702	+	0.588899i
$204$	0.313251	+	0.542567i	0.0219320	+	0.0379873i
$205$	4.21396	+	2.43293i	0.294316	+	0.169923i
$206$	3.44379	+	12.8524i	0.239940	+	0.895468i
$207$		−	3.70838i		−	0.257750i
$208$	−4.59270	+	15.1433i	−0.318446	+	1.05000i
$209$		−	2.62689i		−	0.181706i
$210$	−1.38323	+	5.81199i	−0.0954522	+	0.401065i
$211$	12.4140	−	21.5017i	0.854616	−	1.48024i	−0.0223853	−	0.999749i	$-0.507126\pi$
$211$	12.4140	−	21.5017i	0.854616	−	1.48024i	0.877001	−	0.480488i	$-0.159541\pi$
$212$	0.259394	−	0.149761i	0.0178153	−	0.0102857i
$213$	−8.35173	−	8.35173i	−0.572251	−	0.572251i
$214$	−18.7704	−	5.02951i	−1.28312	−	0.343810i
$215$	−5.56375	−	1.49080i	−0.379444	−	0.101672i
$216$	1.87643	−	1.87643i	0.127675	−	0.127675i
$217$	4.95123	−	0.139411i	0.336112	−	0.00946384i
$218$	−25.5961	−	14.7779i	−1.73358	−	1.00089i
$219$	15.4840	−	4.14892i	1.04631	−	0.280358i
$220$	0.577523			0.0389366
$221$	7.07461	+	7.55258i	0.475890	+	0.508042i
$222$			8.99071i			0.603417i
$223$	−13.6453	+	3.65626i	−0.913760	+	0.244841i	−0.684916	−	0.728622i	$-0.740161\pi$
$223$	−13.6453	+	3.65626i	−0.913760	+	0.244841i	−0.228844	+	0.973463i	$0.573494\pi$
$224$	−2.77015	+	1.70507i	−0.185089	+	0.113924i
$225$	2.33948	−	1.35070i	0.155966	−	0.0900468i
$226$	11.8019	−	11.8019i	0.785053	−	0.785053i
$227$	5.76681	−	21.5220i	0.382757	−	1.42847i	−0.458916	−	0.888480i	$-0.651762\pi$
$227$	5.76681	−	21.5220i	0.382757	−	1.42847i	0.841673	−	0.539988i	$-0.181571\pi$
$228$	0.0850419	−	0.317381i	0.00563204	−	0.0210190i
$229$	8.69387	−	8.69387i	0.574507	−	0.574507i	−0.358877	−	0.933385i	$-0.616840\pi$
$229$	8.69387	−	8.69387i	0.574507	−	0.574507i	0.933385	+	0.358877i	$0.116840\pi$
$230$	−7.25194	+	4.18691i	−0.478179	+	0.276077i
$231$	−3.93198	+	2.42018i	−0.258705	+	0.159236i
$232$	−8.48298	+	2.27301i	−0.556935	+	0.149230i
$233$		−	26.8466i		−	1.75878i	−0.476104	−	0.879389i	$-0.657952\pi$
$233$		−	26.8466i		−	1.75878i	0.476104	−	0.879389i	$-0.342048\pi$
$234$	−2.83549	+	4.56044i	−0.185362	+	0.298126i
$235$	12.5719			0.820099
$236$	−0.211259	+	0.0566065i	−0.0137518	+	0.00368477i
$237$	3.05729	+	1.76513i	0.198592	+	0.114657i
$238$	0.318328	+	11.3055i	0.0206341	+	0.732829i
$239$	6.42765	−	6.42765i	0.415770	−	0.415770i	−0.467973	−	0.883743i	$-0.655016\pi$
$239$	6.42765	−	6.42765i	0.415770	−	0.415770i	0.883743	+	0.467973i	$0.155016\pi$
$240$	−6.42736	−	1.72221i	−0.414884	−	0.111168i
$241$	−21.5089	−	5.76329i	−1.38551	−	0.371246i	−0.512391	−	0.858752i	$-0.671240\pi$
$241$	−21.5089	−	5.76329i	−1.38551	−	0.371246i	−0.873120	+	0.487506i	$0.837907\pi$
$242$	−8.37746	−	8.37746i	−0.538523	−	0.538523i
$243$	0.866025	−	0.500000i	0.0555556	−	0.0320750i
$244$	0.00384478	−	0.00665935i	0.000246137	−	0.000426321i
$245$	−7.07022	+	7.91475i	−0.451700	+	0.505655i
$246$			4.78009i			0.304768i
$247$	0.177256	−	5.42450i	0.0112785	−	0.345153i
$248$			4.96803i			0.315470i
$249$	3.96824	+	14.8097i	0.251477	+	0.938525i
$250$	−15.0605	−	8.69520i	−0.952511	−	0.549933i
$251$	−15.2735	−	26.4545i	−0.964055	−	1.66979i	−0.712134	−	0.702044i	$-0.752271\pi$
$251$	−15.2735	−	26.4545i	−0.964055	−	1.66979i	−0.251921	−	0.967748i	$-0.581062\pi$
$252$	−0.553412	+	0.165114i	−0.0348617	+	0.0104012i
$253$	−6.25099	−	1.67495i	−0.392996	−	0.105303i
$254$	−1.63374	+	6.09718i	−0.102510	+	0.382571i
$255$	−3.07696	+	3.07696i	−0.192687	+	0.192687i
$256$	−2.58931	−	4.48482i	−0.161832	−	0.280301i
$257$	−6.53903	+	11.3259i	−0.407894	+	0.706493i	−0.994654	−	0.103268i	$-0.967070\pi$
$257$	−6.53903	+	11.3259i	−0.407894	+	0.706493i	0.586760	+	0.809761i	$0.300403\pi$
$258$	−1.46452	−	5.46568i	−0.0911773	−	0.340278i
$259$	−7.59309	+	14.0506i	−0.471812	+	0.873065i
$260$	1.19258	+	0.0389699i	0.0739608	+	0.00241681i
$261$	−3.30946			−0.204850
$262$	10.4656	−	2.80425i	0.646566	−	0.173247i
$263$	−4.59748	+	7.96308i	−0.283493	+	0.491024i	−0.972243	−	0.233975i	$-0.924827\pi$
$263$	−4.59748	+	7.96308i	−0.283493	+	0.491024i	0.688750	+	0.724999i	$0.258160\pi$
$264$	−2.31547	−	4.01051i	−0.142507	−	0.246830i
$265$	1.47106	+	1.47106i	0.0903664	+	0.0903664i
$266$	4.07461	−	4.31072i	0.249831	−	0.264307i
$267$	2.02252	−	7.54814i	0.123776	−	0.461939i
$268$	0.752500	+	0.752500i	0.0459662	+	0.0459662i
$269$	10.0654	−	5.81128i	0.613700	−	0.354320i	−0.160712	−	0.987001i	$-0.551379\pi$
$269$	10.0654	−	5.81128i	0.613700	−	0.354320i	0.774412	+	0.632681i	$0.218046\pi$
$270$	−1.95556	−	1.12904i	−0.119011	−	0.0687112i
$271$	5.43020	+	20.2658i	0.329861	+	1.23106i	0.909334	+	0.416067i	$0.136592\pi$
$271$	5.43020	+	20.2658i	0.329861	+	1.23106i	−0.579473	+	0.814991i	$0.696742\pi$
$272$	−12.5969			−0.763798
$273$	−8.28281	+	4.73234i	−0.501299	+	0.286414i
$274$	−31.0104			−1.87341
$275$	−1.22013	−	4.55360i	−0.0735768	−	0.274592i
$276$	−0.701021	−	0.404735i	−0.0421965	−	0.0243622i
$277$	−13.6743	+	7.89485i	−0.821608	+	0.474356i	−0.850971	−	0.525213i	$-0.823986\pi$
$277$	−13.6743	+	7.89485i	−0.821608	+	0.474356i	0.0293625	+	0.999569i	$0.490652\pi$
$278$	19.7601	+	19.7601i	1.18513	+	1.18513i
$279$	−0.484543	+	1.80834i	−0.0290089	+	0.108263i
$280$	−7.73571	−	7.31201i	−0.462297	−	0.436976i
$281$	−6.16446	−	6.16446i	−0.367741	−	0.367741i	0.498912	−	0.866653i	$-0.333733\pi$
$281$	−6.16446	−	6.16446i	−0.367741	−	0.367741i	−0.866653	+	0.498912i	$0.833733\pi$
$282$	6.17514	+	10.6957i	0.367725	+	0.636918i
$283$	−2.66486	+	4.61567i	−0.158410	+	0.274373i	−0.934295	−	0.356500i	$-0.883970\pi$
$283$	−2.66486	+	4.61567i	−0.158410	+	0.274373i	0.775886	+	0.630873i	$0.217303\pi$
$284$	−2.49030	+	0.667274i	−0.147772	+	0.0395954i
$285$	2.28219			0.135185
$286$	6.40658	+	6.83942i	0.378829	+	0.404423i
$287$	−4.03702	+	7.47032i	−0.238298	+	0.440959i
$288$	−0.318208	−	1.18757i	−0.0187506	−	0.0699780i
$289$	4.38109	−	7.58828i	0.257711	−	0.446369i
$290$	3.73652	+	6.47183i	0.219416	+	0.380039i
$291$	6.74410	−	6.74410i	0.395346	−	0.395346i
$292$	0.905632	−	3.37986i	0.0529981	−	0.197792i
$293$	20.8745	+	5.59331i	1.21950	+	0.326764i	0.810483	−	0.585762i	$-0.199205\pi$
$293$	20.8745	+	5.59331i	1.21950	+	0.326764i	0.409018	+	0.912526i	$0.365871\pi$
$294$	−10.2064	−	2.12745i	−0.595247	−	0.124075i
$295$	−0.759548	−	1.31558i	−0.0442226	−	0.0765958i
$296$	−13.8728	−	8.00945i	−0.806339	−	0.465540i
$297$	−0.451666	−	1.68564i	−0.0262083	−	0.0978108i
$298$		−	2.67424i		−	0.154914i
$299$	−12.7952	−	3.88056i	−0.739967	−	0.224418i
$300$		−	0.589666i		−	0.0340444i
$301$	2.32728	−	9.77861i	0.134142	−	0.563630i
$302$	−15.7667	+	27.3088i	−0.907274	+	1.57144i
$303$	−11.6822	+	6.74473i	−0.671125	+	0.387474i
$304$	4.67156	+	4.67156i	0.267933	+	0.267933i
$305$	0.0515893	+	0.0138233i	0.00295399	+	0.000791520i
$306$	−4.12913	−	1.10640i	−0.236046	−	0.0632484i
$307$	−3.48509	+	3.48509i	−0.198904	+	0.198904i	−0.799530	−	0.600626i	$-0.794918\pi$
$307$	−3.48509	+	3.48509i	−0.198904	+	0.198904i	0.600626	+	0.799530i	$0.294918\pi$
$308$	0.0283660	+	1.00743i	0.00161630	+	0.0574037i
$309$	−7.73681	−	4.46685i	−0.440132	−	0.254110i
$310$	4.08338	−	1.09414i	0.231920	−	0.0621429i
$311$	−16.5536			−0.938671			−0.469335	−	0.883020i	$-0.655506\pi$
$311$	−16.5536			−0.938671			−0.469335	+	0.883020i	$0.655506\pi$
$312$	−4.51081	−	8.43791i	−0.255374	−	0.477703i
$313$			21.0200i			1.18812i	0.804421	+	0.594060i	$0.202476\pi$
$313$			21.0200i			1.18812i	−0.804421	+	0.594060i	$0.797524\pi$
$314$	−28.0536	+	7.51694i	−1.58316	+	0.424205i
$315$	−2.10261	−	3.41602i	−0.118469	−	0.192471i
$316$	0.667349	−	0.385294i	0.0375413	−	0.0216745i
$317$	10.3124	−	10.3124i	0.579204	−	0.579204i	−0.355480	−	0.934684i	$-0.615683\pi$
$317$	10.3124	−	10.3124i	0.579204	−	0.579204i	0.934684	+	0.355480i	$0.115683\pi$
$318$	−0.528954	+	1.97408i	−0.0296623	+	0.110701i
$319$	−1.49477	+	5.57856i	−0.0836911	+	0.312339i
$320$	7.44722	−	7.44722i	0.416312	−	0.416312i
$321$	11.2993	−	6.52366i	0.630666	−	0.364115i
$322$	−7.65982	−	12.4446i	−0.426865	−	0.693511i
$323$	4.17320	−	1.11821i	0.232203	−	0.0622187i
$324$		−	0.218281i		−	0.0121267i
$325$	−2.21230	−	9.48548i	−0.122716	−	0.526160i
$326$	22.4667			1.24431
$327$	19.1681	−	5.13607i	1.06000	−	0.284025i
$328$	−7.37575	−	4.25839i	−0.407258	−	0.235130i
$329$	0.617489	+	21.9304i	0.0340433	+	1.20906i
$330$	−2.78642	+	2.78642i	−0.153387	+	0.153387i
$331$	22.7352	+	6.09189i	1.24964	+	0.334840i	0.822198	−	0.569202i	$-0.192748\pi$
$331$	22.7352	+	6.09189i	1.24964	+	0.334840i	0.427444	+	0.904042i	$0.359414\pi$
$332$	3.23268	+	0.866193i	0.177416	+	0.0475385i
$333$	−4.26845	−	4.26845i	−0.233910	−	0.233910i
$334$	10.3769	−	5.99111i	0.567799	−	0.327819i
$335$	−3.69578	+	6.40128i	−0.201922	+	0.349739i
$336$	2.68852	−	11.2965i	0.146671	−	0.616272i
$337$			14.6004i			0.795337i	0.917529	+	0.397668i	$0.130181\pi$
$337$			14.6004i			0.795337i	−0.917529	+	0.397668i	$0.869819\pi$
$338$	12.7680	+	14.5556i	0.694489	+	0.791723i
$339$			11.2062i			0.608639i
$340$	0.245839	+	0.917483i	0.0133325	+	0.0497575i
$341$	2.82936	+	1.63353i	0.153219	+	0.0884607i
$342$	1.12098	+	1.94160i	0.0606157	+	0.104989i
$343$	−14.1537	−	11.9445i	−0.764230	−	0.644944i
$344$	9.73830	+	2.60937i	0.525054	+	0.140688i
$345$	1.45516	−	5.43074i	0.0783433	−	0.292381i
$346$	22.9641	−	22.9641i	1.23456	−	1.23456i
$347$	−8.48574	−	14.6977i	−0.455538	−	0.789016i	0.543181	−	0.839616i	$-0.317220\pi$
$347$	−8.48574	−	14.6977i	−0.455538	−	0.789016i	−0.998719	+	0.0506002i	$0.983887\pi$
$348$	−0.361197	+	0.625611i	−0.0193622	+	0.0335363i
$349$	−0.728645	−	2.71934i	−0.0390035	−	0.145563i	0.943678	−	0.330865i	$-0.107340\pi$
$349$	−0.728645	−	2.71934i	−0.0390035	−	0.145563i	−0.982682	+	0.185302i	$0.940674\pi$
$350$	5.06093	−	9.36502i	0.270518	−	0.500581i
$351$	−0.818944	−	3.51131i	−0.0437120	−	0.187420i
$352$	−2.14553			−0.114357
$353$	30.6157	−	8.20345i	1.62951	−	0.436625i	0.675733	−	0.737146i	$-0.263827\pi$
$353$	30.6157	−	8.20345i	1.62951	−	0.436625i	0.953775	+	0.300521i	$0.0971605\pi$
$354$	0.746160	−	1.29239i	0.0396580	−	0.0686896i
$355$	−8.95350	−	15.5079i	−0.475203	−	0.823075i
$356$	−1.20614	−	1.20614i	−0.0639253	−	0.0639253i
$357$	−5.51858	−	5.21632i	−0.292074	−	0.276077i
$358$	−3.74646	+	13.9820i	−0.198006	+	0.738970i
$359$	12.8172	+	12.8172i	0.676466	+	0.676466i	0.959199	−	0.282733i	$-0.0912410\pi$
$359$	12.8172	+	12.8172i	0.676466	+	0.676466i	−0.282733	+	0.959199i	$0.591241\pi$
$360$	3.48425	−	2.01163i	0.183636	−	0.106022i
$361$	14.4922	+	8.36705i	0.762745	+	0.440371i
$362$	5.24402	+	19.5709i	0.275619	+	1.02863i
$363$	7.95461			0.417509
$364$	−0.00940337	+	2.08225i	−0.000492870	+	0.109140i
$365$	24.3036			1.27211
$366$	0.0135797	+	0.0506800i	0.000709820	+	0.00264908i
$367$	−3.51454	−	2.02912i	−0.183457	−	0.105919i	0.405459	−	0.914113i	$-0.367112\pi$
$367$	−3.51454	−	2.02912i	−0.183457	−	0.105919i	−0.588916	+	0.808194i	$0.700445\pi$
$368$	14.0952	−	8.13787i	0.734764	−	0.424216i
$369$	−2.26941	−	2.26941i	−0.118141	−	0.118141i
$370$	−3.52794	+	13.1665i	−0.183409	+	0.684492i
$371$	−2.49386	+	2.63836i	−0.129475	+	0.136977i
$372$	0.288960	+	0.288960i	0.0149819	+	0.0149819i
$373$	5.07453	+	8.78935i	0.262749	+	0.455095i	0.966972	−	0.254884i	$-0.0820374\pi$
$373$	5.07453	+	8.78935i	0.262749	+	0.455095i	−0.704222	+	0.709980i	$0.748704\pi$
$374$	−3.72997	+	6.46050i	−0.192872	+	0.334065i
$375$	11.2783	−	3.02202i	0.582411	−	0.156056i
$376$	−22.0047			−1.13481
$377$	−3.46312	+	11.4188i	−0.178360	+	0.588099i
$378$	1.87345	−	3.46672i	0.0963597	−	0.178309i
$379$	1.04136	+	3.88639i	0.0534908	+	0.199630i	0.987500	−	0.157618i	$-0.0503815\pi$
$379$	1.04136	+	3.88639i	0.0534908	+	0.199630i	−0.934009	+	0.357249i	$0.883715\pi$
$380$	0.249080	−	0.431418i	0.0127775	−	0.0221313i
$381$	−2.11908	−	3.67035i	−0.108564	−	0.188038i
$382$	−0.891216	+	0.891216i	−0.0455986	+	0.0455986i
$383$	0.289889	−	1.08188i	0.0148126	−	0.0552815i	−0.958124	−	0.286354i	$-0.907557\pi$
$383$	0.289889	−	1.08188i	0.0148126	−	0.0552815i	0.972937	+	0.231072i	$0.0742234\pi$
$384$	12.3689	+	3.31424i	0.631199	+	0.169129i
$385$	−6.70787	+	2.00134i	−0.341865	+	0.101998i
$386$	−1.18095	−	2.04547i	−0.0601090	−	0.104112i
$387$	3.29020	+	1.89960i	0.167250	+	0.0965621i
$388$	−0.538830	−	2.01094i	−0.0273550	−	0.102090i
$389$		−	2.46580i		−	0.125021i	−0.998044	−	0.0625106i	$-0.980089\pi$
$389$		−	2.46580i		−	0.125021i	0.998044	−	0.0625106i	$-0.0199107\pi$
$390$	−5.94195	+	5.56591i	−0.300882	+	0.281841i
$391$		−	10.6436i		−	0.538271i
$392$	12.3751	−	13.8533i	0.625037	−	0.699697i
$393$	−3.63732	+	6.30003i	−0.183479	+	0.317794i
$394$	6.72867	−	3.88480i	0.338985	−	0.195713i
$395$	3.78462	+	3.78462i	0.190425	+	0.190425i
$396$	−0.367944	−	0.0985903i	−0.0184899	−	0.00495435i
$397$	−13.8529	−	3.71187i	−0.695257	−	0.186294i	−0.106152	−	0.994350i	$-0.533853\pi$
$397$	−13.8529	−	3.71187i	−0.695257	−	0.186294i	−0.589105	+	0.808056i	$0.700520\pi$
$398$	1.42844	−	1.42844i	0.0716012	−	0.0716012i
$399$	0.112094	+	3.98104i	0.00561170	+	0.199301i
$400$	10.2678	+	5.92812i	0.513390	+	0.296406i
$401$	9.59670	−	2.57143i	0.479236	−	0.128411i	−0.0111107	−	0.999938i	$-0.503537\pi$
$401$	9.59670	−	2.57143i	0.479236	−	0.128411i	0.490347	+	0.871527i	$0.336870\pi$
$402$	−7.26128			−0.362160
$403$	5.73238	+	3.56415i	0.285550	+	0.177543i
$404$			2.94450i			0.146494i
$405$	1.46445	−	0.392399i	0.0727692	−	0.0194985i
$406$	−11.1059	+	6.83584i	−0.551178	+	0.339257i
$407$	−9.12300	+	5.26716i	−0.452210	+	0.261084i
$408$	5.38565	−	5.38565i	0.266630	−	0.266630i
$409$	9.20429	−	34.3509i	0.455123	−	1.69854i	−0.232603	−	0.972572i	$-0.574724\pi$
$409$	9.20429	−	34.3509i	0.455123	−	1.69854i	0.687726	−	0.725970i	$-0.258609\pi$
$410$	−1.87570	+	7.00022i	−0.0926344	+	0.345716i
$411$	14.7226	−	14.7226i	0.726213	−	0.726213i
$412$	−1.68880	+	0.975031i	−0.0832013	+	0.0480363i
$413$	2.25758	−	1.38957i	0.111088	−	0.0683763i
$414$	5.33502	−	1.42951i	0.262202	−	0.0702568i
$415$			23.2452i			1.14106i
$416$	−4.43051	−	0.144776i	−0.217224	−	0.00709821i
$417$	−18.7627			−0.918816
$418$	3.77914	−	1.01262i	0.184844	−	0.0495288i
$419$	22.2160	+	12.8264i	1.08532	+	0.626611i	0.932327	−	0.361616i	$-0.117775\pi$
$419$	22.2160	+	12.8264i	1.08532	+	0.626611i	0.152995	+	0.988227i	$0.451108\pi$
$420$	−0.875236	+	0.0246439i	−0.0427071	+	0.00120250i
$421$	−9.66177	+	9.66177i	−0.470886	+	0.470886i	−0.902201	−	0.431315i	$-0.858050\pi$
$421$	−9.66177	+	9.66177i	−0.470886	+	0.470886i	0.431315	+	0.902201i	$0.358050\pi$
$422$	35.7186	+	9.57077i	1.73875	+	0.465898i
$423$	−8.00963	−	2.14617i	−0.389442	−	0.104351i
$424$	−2.57481	−	2.57481i	−0.125044	−	0.125044i
$425$	6.71469	−	3.87673i	0.325710	−	0.188049i
$426$	8.79569	−	15.2346i	0.426153	−	0.738118i
$427$	−0.0215794	+	0.0906712i	−0.00104430	+	0.00438789i
$428$		−	2.84799i		−	0.137663i
$429$	−6.28871	−	0.205496i	−0.303622	−	0.00992142i
$430$		−	8.57890i		−	0.413712i
$431$	−1.68005	−	6.27002i	−0.0809250	−	0.302016i	0.913586	−	0.406645i	$-0.133301\pi$
$431$	−1.68005	−	6.27002i	−0.0809250	−	0.302016i	−0.994511	+	0.104629i	$0.966635\pi$
$432$	3.80091	+	2.19446i	0.182871	+	0.105581i
$433$	−16.7283	−	28.9743i	−0.803912	−	1.39242i	−0.917023	−	0.398834i	$-0.869415\pi$
$433$	−16.7283	−	28.9743i	−0.803912	−	1.39242i	0.113111	−	0.993582i	$-0.463918\pi$
$434$	2.10918	+	7.06930i	0.101244	+	0.339337i
$435$	−4.84654	−	1.29863i	−0.232374	−	0.0622644i
$436$	1.12111	−	4.18403i	0.0536913	−	0.200379i
$437$	−3.94720	+	3.94720i	−0.188820	+	0.188820i
$438$	11.9376	+	20.6765i	0.570401	+	0.987963i
$439$	−9.81984	+	17.0085i	−0.468675	+	0.811769i	−0.999359	−	0.0358007i	$-0.988602\pi$
$439$	−9.81984	+	17.0085i	−0.468675	+	0.811769i	0.530684	+	0.847570i	$0.321935\pi$
$440$	−1.81717	−	6.78178i	−0.0866303	−	0.323309i
$441$	5.85563	−	3.83557i	0.278840	−	0.182646i
$442$	−8.13831	+	13.0892i	−0.387100	+	0.622590i
$443$	16.3344			0.776072			0.388036	−	0.921644i	$-0.373154\pi$
$443$	16.3344			0.776072			0.388036	+	0.921644i	$0.373154\pi$
$444$	−1.27276	+	0.341035i	−0.0604024	+	0.0161848i
$445$	5.92376	−	10.2603i	0.280813	−	0.486383i
$446$	−10.5201	−	18.2213i	−0.498140	−	0.862804i
$447$	1.26963	+	1.26963i	0.0600514	+	0.0600514i
$448$	13.3567	+	12.6251i	0.631045	+	0.596481i
$449$	−5.76005	+	21.4968i	−0.271834	+	1.01450i	0.686100	+	0.727507i	$0.259321\pi$
$449$	−5.76005	+	21.4968i	−0.271834	+	1.01450i	−0.957934	+	0.286990i	$0.907345\pi$
$450$	2.84500	+	2.84500i	0.134115	+	0.134115i
$451$	−4.85043	+	2.80040i	−0.228398	+	0.131865i
$452$	2.11840	+	1.22306i	0.0996410	+	0.0575277i
$453$	−5.47974	−	20.4507i	−0.257461	−	0.960856i
$454$	33.1855			1.55747
$455$	−13.9867	+	3.68012i	−0.655709	+	0.172527i
$456$	−3.99455			−0.187062
$457$	−2.56831	−	9.58507i	−0.120141	−	0.448371i	0.879479	−	0.475937i	$-0.157891\pi$
$457$	−2.56831	−	9.58507i	−0.120141	−	0.448371i	−0.999620	+	0.0275663i	$0.991224\pi$
$458$	15.8587	+	9.15602i	0.741028	+	0.427833i
$459$	2.48563	−	1.43508i	0.116019	−	0.0669838i
$460$	−0.867794	−	0.867794i	−0.0404611	−	0.0404611i
$461$	−9.43198	+	35.2006i	−0.439291	+	1.63946i	0.291293	+	0.956634i	$0.405915\pi$
$461$	−9.43198	+	35.2006i	−0.439291	+	1.63946i	−0.730584	+	0.682823i	$0.760752\pi$
$462$	−4.99748	−	4.72376i	−0.232504	−	0.219769i
$463$	−5.57925	−	5.57925i	−0.259290	−	0.259290i	0.565476	−	0.824765i	$-0.308693\pi$
$463$	−5.57925	−	5.57925i	−0.259290	−	0.259290i	−0.824765	+	0.565476i	$0.808693\pi$
$464$	−7.26247	−	12.5790i	−0.337152	−	0.583964i
$465$	−1.41918	+	2.45809i	−0.0658130	+	0.113991i
$466$	38.6226	−	10.3489i	1.78916	−	0.479403i
$467$	−23.2676			−1.07670			−0.538349	−	0.842722i	$-0.680952\pi$
$467$	−23.2676			−1.07670			−0.538349	+	0.842722i	$0.680952\pi$
$468$	−0.753149	−	0.228416i	−0.0348143	−	0.0105585i
$469$	−11.3479	−	6.13250i	−0.523997	−	0.283173i
$470$	4.84624	+	18.0864i	0.223540	+	0.834264i
$471$	9.75004	−	16.8876i	0.449258	−	0.778138i
$472$	1.32945	+	2.30267i	0.0611928	+	0.105989i
$473$	4.68812	−	4.68812i	0.215560	−	0.215560i
$474$	−1.36085	+	5.07876i	−0.0625059	+	0.233275i
$475$	−3.92783	−	1.05246i	−0.180221	−	0.0482902i
$476$	−1.58838	+	0.473904i	−0.0728033	+	0.0217214i
$477$	−0.686094	−	1.18835i	−0.0314141	−	0.0544108i
$478$	11.7248	+	6.76932i	0.536280	+	0.309622i
$479$	9.64340	+	35.9897i	0.440618	+	1.64441i	0.727252	+	0.686370i	$0.240797\pi$
$479$	9.64340	+	35.9897i	0.440618	+	1.64441i	−0.286634	+	0.958040i	$0.592536\pi$
$480$		−	1.86400i		−	0.0850795i
$481$	−19.1943	+	10.2611i	−0.875187	+	0.467864i
$482$		−	33.1652i		−	1.51063i
$483$	9.54484	+	2.27164i	0.434305	+	0.103363i
$484$	0.868172	−	1.50372i	0.0394624	−	0.0683508i
$485$	12.5228	−	7.23004i	0.568631	−	0.328299i
$486$	1.05316	+	1.05316i	0.0477722	+	0.0477722i
$487$	−40.0906	−	10.7422i	−1.81668	−	0.486777i	−0.820308	−	0.571922i	$-0.806198\pi$
$487$	−40.0906	−	10.7422i	−1.81668	−	0.486777i	−0.996369	+	0.0851447i	$0.972865\pi$
$488$	−0.0902975	−	0.0241951i	−0.00408757	−	0.00109526i
$489$	−10.6663	+	10.6663i	−0.482349	+	0.482349i
$490$	−14.1119	−	7.12050i	−0.637511	−	0.321672i
$491$	7.22040	+	4.16870i	0.325852	+	0.188131i	0.653998	−	0.756496i	$-0.273090\pi$
$491$	7.22040	+	4.16870i	0.325852	+	0.188131i	−0.328146	+	0.944627i	$0.606424\pi$
$492$	−0.676688	+	0.181318i	−0.0305075	+	0.00817445i
$493$	−9.49867			−0.427799
$494$	7.87223	−	1.83604i	0.354189	−	0.0826074i
$495$		−	2.64577i		−	0.118919i
$496$	−7.93666	+	2.12662i	−0.356366	+	0.0954881i
$497$	26.6122	−	16.3802i	1.19372	−	0.734751i
$498$	−19.7761	+	11.4177i	−0.886188	+	0.511641i
$499$	−6.61818	+	6.61818i	−0.296270	+	0.296270i	−0.839551	−	0.543281i	$-0.817182\pi$
$499$	−6.61818	+	6.61818i	−0.296270	+	0.296270i	0.543281	+	0.839551i	$0.317182\pi$
$500$	0.659651	−	2.46185i	0.0295005	−	0.110097i
$501$	−2.08221	+	7.77093i	−0.0930265	+	0.347180i
$502$	32.1708	−	32.1708i	1.43585	−	1.43585i
$503$	−6.07077	+	3.50496i	−0.270682	+	0.156278i	−0.629198	−	0.777245i	$-0.716616\pi$
$503$	−6.07077	+	3.50496i	−0.270682	+	0.156278i	0.358515	+	0.933524i	$0.383283\pi$
$504$	3.68022	+	5.97912i	0.163930	+	0.266331i
$505$	−19.7547	+	5.29324i	−0.879071	+	0.235546i
$506$		−	9.63859i		−	0.428487i
$507$	−12.9723	−	0.848694i	−0.576119	−	0.0376918i
$508$	−0.925111			−0.0410452
$509$	6.23491	−	1.67064i	0.276357	−	0.0740498i	−0.117978	−	0.993016i	$-0.537641\pi$
$509$	6.23491	−	1.67064i	0.276357	−	0.0740498i	0.394336	+	0.918966i	$0.370975\pi$
$510$	−5.61276	−	3.24053i	−0.248537	−	0.143493i
$511$	1.19371	+	42.3951i	0.0528067	+	1.87545i
$512$	−12.6554	+	12.6554i	−0.559297	+	0.559297i
$513$	−1.45400	−	0.389597i	−0.0641956	−	0.0172011i
$514$	−18.8146	−	5.04136i	−0.829878	−	0.222365i
$515$	−9.57741	−	9.57741i	−0.422031	−	0.422031i
$516$	0.718190	−	0.414647i	0.0316166	−	0.0182538i
$517$	−7.23536	+	12.5320i	−0.318211	+	0.551157i
$518$	−23.1408	−	5.50744i	−1.01675	−	0.241983i
$519$			21.8050i			0.957135i
$520$	−3.29483	−	14.1270i	−0.144488	−	0.619508i
$521$			13.2340i			0.579793i	0.957058	+	0.289896i	$0.0936208\pi$
$521$			13.2340i			0.579793i	−0.957058	+	0.289896i	$0.906379\pi$
$522$	−1.27574	−	4.76112i	−0.0558375	−	0.208389i
$523$	35.3268	+	20.3959i	1.54473	+	0.891852i	0.998530	+	0.0541990i	$0.0172605\pi$
$523$	35.3268	+	20.3959i	1.54473	+	0.891852i	0.546203	+	0.837653i	$0.316073\pi$
$524$	0.793960	+	1.37518i	0.0346843	+	0.0600749i
$525$	2.04342	+	6.84890i	0.0891821	+	0.298911i
$526$	−13.2282	−	3.54450i	−0.576779	−	0.154547i
$527$	−1.39072	+	5.19023i	−0.0605806	+	0.226090i
$528$	5.41581	−	5.41581i	0.235693	−	0.235693i
$529$	−4.62397	−	8.00896i	−0.201042	−	0.348216i
$530$	−1.54926	+	2.68339i	−0.0672954	+	0.116559i
$531$	0.259328	+	0.967827i	0.0112539	+	0.0420001i
$532$	0.764799	+	0.413304i	0.0331583	+	0.0179190i
$533$	−10.2051	+	5.45550i	−0.442030	+	0.236304i
$534$	11.6387			0.503656
$535$	19.1072	−	5.11975i	0.826075	−	0.221346i
$536$	6.46878	−	11.2042i	0.279409	−	0.483950i
$537$	−4.85944	−	8.41680i	−0.209700	−	0.363212i
$538$	12.2404	+	12.2404i	0.527721	+	0.527721i
$539$	−3.82060	−	11.6029i	−0.164565	−	0.499772i
$540$	0.0856533	−	0.319663i	0.00368593	−	0.0137561i
$541$	−14.4412	−	14.4412i	−0.620878	−	0.620878i	0.324878	−	0.945756i	$-0.394677\pi$
$541$	−14.4412	−	14.4412i	−0.620878	−	0.620878i	−0.945756	+	0.324878i	$0.894677\pi$
$542$	−27.0619	+	15.6242i	−1.16241	+	0.671117i
$543$	−11.7812	−	6.80189i	−0.505580	−	0.291897i
$544$	−0.913306	−	3.40851i	−0.0391577	−	0.146138i
$545$	30.0861			1.28875
$546$	−10.0010	−	10.0917i	−0.428004	−	0.431887i
$547$	3.47188			0.148447			0.0742234	−	0.997242i	$-0.476352\pi$
$547$	3.47188			0.148447			0.0742234	+	0.997242i	$0.476352\pi$
$548$	−1.17629	−	4.38996i	−0.0502484	−	0.187530i
$549$	−0.0305081	−	0.0176138i	−0.00130205	−	0.000751741i
$550$	6.08065	−	3.51066i	0.259280	−	0.149695i
$551$	3.52259	+	3.52259i	0.150067	+	0.150067i
$552$	−2.54699	+	9.50550i	−0.108407	+	0.404581i
$553$	−6.41599	+	6.78777i	−0.272836	+	0.288645i
$554$	−16.6290	−	16.6290i	−0.706500	−	0.706500i
$555$	−4.57601	−	7.92588i	−0.194241	−	0.336435i
$556$	−2.04778	+	3.54686i	−0.0868452	+	0.150420i
$557$	−42.2673	+	11.3255i	−1.79092	+	0.479876i	−0.992503	−	0.122224i	$-0.960997\pi$
$557$	−42.2673	+	11.3255i	−1.79092	+	0.479876i	−0.798420	+	0.602100i	$0.794331\pi$
$558$	−2.78833			−0.118040
$559$	9.99727	−	9.36459i	0.422840	−	0.396080i
$560$	8.36993	−	15.4881i	0.353694	−	0.654494i
$561$	−1.29635	−	4.83806i	−0.0547321	−	0.204263i
$562$	6.49215	−	11.2447i	0.273855	−	0.474330i
$563$	2.66750	+	4.62024i	0.112422	+	0.194720i	0.916746	−	0.399470i	$-0.130806\pi$
$563$	2.66750	+	4.62024i	0.112422	+	0.194720i	−0.804325	+	0.594190i	$0.797473\pi$
$564$	−1.27988	+	1.27988i	−0.0538928	+	0.0538928i
$565$	−4.39731	+	16.4110i	−0.184996	+	0.690416i
$566$	−7.66755	−	2.05451i	−0.322291	−	0.0863577i
$567$	0.756429	+	2.53531i	0.0317670	+	0.106473i
$568$	15.6714	+	27.1437i	0.657559	+	1.13893i
$569$	15.8463	+	9.14887i	0.664312	+	0.383541i	0.793918	−	0.608025i	$-0.208038\pi$
$569$	15.8463	+	9.14887i	0.664312	+	0.383541i	−0.129606	+	0.991566i	$0.541371\pi$
$570$	0.879743	+	3.28325i	0.0368484	+	0.137520i
$571$		−	33.5009i		−	1.40197i	−0.713176	−	0.700985i	$-0.752744\pi$
$571$		−	33.5009i		−	1.40197i	0.713176	−	0.700985i	$-0.247256\pi$
$572$	−0.725200	+	1.16637i	−0.0303221	+	0.0487684i
$573$		−	0.846233i		−	0.0353519i
$574$	−12.3033	−	2.92814i	−0.513530	−	0.122218i
$575$	−5.00891	+	8.67568i	−0.208886	+	0.361801i
$576$	−6.01601	+	3.47334i	−0.250667	+	0.144723i
$577$	8.55149	+	8.55149i	0.356003	+	0.356003i	0.862337	−	0.506334i	$-0.169000\pi$
$577$	8.55149	+	8.55149i	0.356003	+	0.356003i	−0.506334	+	0.862337i	$0.669000\pi$
$578$	12.6056	+	3.37767i	0.524325	+	0.140493i
$579$	1.53179	+	0.410441i	0.0636589	+	0.0170573i
$580$	−0.774444	+	0.774444i	−0.0321570	+	0.0321570i
$581$	−40.5489	+	1.14173i	−1.68225	+	0.0473668i
$582$	12.3021	+	7.10260i	0.509937	+	0.294412i
$583$	−2.31302	+	0.619771i	−0.0957953	+	0.0256683i
$584$	−42.5389			−1.76027
$585$	0.178531	−	5.46350i	0.00738133	−	0.225888i
$586$			32.1870i			1.32963i
$587$	−42.3546	+	11.3489i	−1.74816	+	0.468419i	−0.984232	−	0.176881i	$-0.943399\pi$
$587$	−42.3546	+	11.3489i	−1.74816	+	0.468419i	−0.763929	+	0.645300i	$0.776732\pi$
$588$	−0.0859774	−	1.52555i	−0.00354565	−	0.0629126i
$589$	2.44055	−	1.40905i	0.100561	−	0.0580589i
$590$	1.59985	−	1.59985i	0.0658647	−	0.0658647i
$591$	−1.35016	+	5.03888i	−0.0555383	+	0.207272i
$592$	6.85708	−	25.5910i	0.281824	−	1.05178i
$593$	29.3548	−	29.3548i	1.20546	−	1.20546i	0.232973	−	0.972483i	$-0.425155\pi$
$593$	29.3548	−	29.3548i	1.20546	−	1.20546i	0.972483	−	0.232973i	$-0.0748454\pi$
$594$	2.25092	−	1.29957i	0.0923564	−	0.0533220i
$595$	−6.03482	−	9.80453i	−0.247403	−	0.401947i
$596$	0.378575	−	0.101439i	0.0155070	−	0.00415510i
$597$			1.35634i			0.0555113i
$598$	0.650389	−	19.9036i	0.0265964	−	0.813919i
$599$	−17.3994			−0.710920			−0.355460	−	0.934691i	$-0.615676\pi$
$599$	−17.3994			−0.710920			−0.355460	+	0.934691i	$0.615676\pi$
$600$	−6.92438	+	1.85538i	−0.282686	+	0.0757456i
$601$	3.87707	+	2.23843i	0.158149	+	0.0913074i	0.576986	−	0.816754i	$-0.304229\pi$
$601$	3.87707	+	2.23843i	0.158149	+	0.0913074i	−0.418837	+	0.908062i	$0.637562\pi$
$602$	14.9650	−	0.421368i	0.609929	−	0.0171737i
$603$	3.44738	−	3.44738i	0.140388	−	0.140388i
$604$	−4.46400	−	1.19612i	−0.181638	−	0.0486696i
$605$	11.6491	+	3.12138i	0.473605	+	0.126902i
$606$	−14.2065	−	14.2065i	−0.577100	−	0.577100i
$607$	12.0061	−	6.93170i	0.487311	−	0.281349i	−0.236147	−	0.971717i	$-0.575885\pi$
$607$	12.0061	−	6.93170i	0.487311	−	0.281349i	0.723458	+	0.690368i	$0.242551\pi$
$608$	−0.925346	+	1.60275i	−0.0375277	+	0.0649999i
$609$	2.02728	−	8.51809i	0.0821494	−	0.345170i
$610$			0.0795470i			0.00322077i
$611$	−15.7866	+	25.3903i	−0.638657	+	1.02718i
$612$		−	0.626502i		−	0.0253249i
$613$	3.20626	+	11.9659i	0.129500	+	0.483299i	0.999960	−	0.00893943i	$-0.00284555\pi$
$613$	3.20626	+	11.9659i	0.129500	+	0.483299i	−0.870461	+	0.492238i	$0.836179\pi$
$614$	−6.35722	−	3.67034i	−0.256557	−	0.148123i
$615$	−2.43293	−	4.21396i	−0.0981052	−	0.169923i
$616$	11.7409	−	3.50297i	0.473053	−	0.141139i
$617$	4.24013	+	1.13614i	0.170701	+	0.0457392i	0.343157	−	0.939278i	$-0.388504\pi$
$617$	4.24013	+	1.13614i	0.170701	+	0.0457392i	−0.172456	+	0.985017i	$0.555170\pi$
$618$	3.44379	−	12.8524i	0.138529	−	0.516999i
$619$	−3.42700	+	3.42700i	−0.137743	+	0.137743i	−0.772616	−	0.634873i	$-0.781052\pi$
$619$	−3.42700	+	3.42700i	−0.137743	+	0.137743i	0.634873	+	0.772616i	$0.281052\pi$
$620$	0.309781	+	0.536556i	0.0124411	+	0.0215486i
$621$	−1.85419	+	3.21155i	−0.0744060	+	0.128875i
$622$	−6.38114	−	23.8147i	−0.255860	−	0.954883i
$623$	18.1889	+	9.82944i	0.728724	+	0.393808i
$624$	11.5491	−	10.8182i	0.462332	−	0.433073i
$625$	4.19541			0.167816
$626$	−30.2402	+	8.10283i	−1.20864	+	0.323854i
$627$	−1.31344	+	2.27495i	−0.0524539	+	0.0908528i
$628$	−2.12825	−	3.68624i	−0.0849265	−	0.147097i
$629$	−12.2511	−	12.2511i	−0.488485	−	0.488485i
$630$	4.10391	−	4.34171i	0.163504	−	0.172978i
$631$	7.50951	−	28.0259i	0.298949	−	1.11569i	−0.639081	−	0.769139i	$-0.720685\pi$
$631$	7.50951	−	28.0259i	0.298949	−	1.11569i	0.938030	−	0.346554i	$-0.112648\pi$
$632$	−6.62427	−	6.62427i	−0.263499	−	0.263499i
$633$	−21.5017	+	12.4140i	−0.854616	+	0.493413i
$634$	18.8111	+	10.8606i	0.747086	+	0.431330i
$635$	−1.66305	−	6.20658i	−0.0659961	−	0.246301i
$636$	−0.299523			−0.0118769
$637$	−7.10658	−	24.2177i	−0.281573	−	0.959540i
$638$	−8.60175			−0.340546
$639$	3.05695	+	11.4087i	0.120931	+	0.451320i
$640$	16.8132	+	9.70709i	0.664599	+	0.383707i
$641$	30.8187	−	17.7932i	1.21726	−	0.702788i	0.252932	−	0.967484i	$-0.418605\pi$
$641$	30.8187	−	17.7932i	1.21726	−	0.702788i	0.964332	+	0.264696i	$0.0852716\pi$
$642$	13.7409	+	13.7409i	0.542309	+	0.542309i
$643$	−1.54772	+	5.77618i	−0.0610362	+	0.227790i	−0.989706	−	0.143118i	$-0.954287\pi$
$643$	−1.54772	+	5.77618i	−0.0610362	+	0.227790i	0.928669	+	0.370909i	$0.120954\pi$
$644$	1.47116	−	1.55640i	0.0579716	−	0.0613308i
$645$	4.07294	+	4.07294i	0.160372	+	0.160372i
$646$	3.21739	+	5.57269i	0.126587	+	0.219255i
$647$	8.50730	−	14.7351i	0.334456	−	0.579296i	−0.648924	−	0.760853i	$-0.724781\pi$
$647$	8.50730	−	14.7351i	0.334456	−	0.579296i	0.983380	+	0.181558i	$0.0581140\pi$
$648$	−2.56325	+	0.686821i	−0.100694	+	0.0269809i
$649$	1.74854			0.0686361
$650$	12.7934	−	6.83919i	0.501798	−	0.268255i
$651$	−4.35760	−	2.35488i	−0.170788	−	0.0922951i
$652$	0.852204	+	3.18047i	0.0333749	+	0.124557i
$653$	4.76337	−	8.25040i	0.186405	−	0.322863i	−0.757644	−	0.652668i	$-0.773650\pi$
$653$	4.76337	−	8.25040i	0.186405	−	0.322863i	0.944049	+	0.329805i	$0.106983\pi$
$654$	14.7779	+	25.5961i	0.577862	+	1.00089i
$655$	−7.79881	+	7.79881i	−0.304725	+	0.304725i
$656$	3.64571	−	13.6060i	0.142341	−	0.531223i
$657$	−15.4840	−	4.14892i	−0.604088	−	0.161865i
$658$	−31.3119	+	9.34211i	−1.22066	+	0.364193i
$659$	−14.3837	−	24.9132i	−0.560308	−	0.970482i	−0.997469	−	0.0710991i	$-0.977349\pi$
$659$	−14.3837	−	24.9132i	−0.560308	−	0.970482i	0.437161	−	0.899383i	$-0.355984\pi$
$660$	−0.500150	−	0.288762i	−0.0194683	−	0.0112400i
$661$	−5.58403	−	20.8399i	−0.217193	−	0.810577i	−0.985383	−	0.170354i	$-0.945509\pi$
$661$	−5.58403	−	20.8399i	−0.217193	−	0.810577i	0.768189	−	0.640223i	$-0.221158\pi$
$662$			35.0561i			1.36250i
$663$	−2.35050	−	10.0780i	−0.0912859	−	0.391398i
$664$		−	40.6864i		−	1.57894i
$665$	−1.39800	+	5.87403i	−0.0542121	+	0.227785i
$666$	4.49535	−	7.78618i	0.174191	−	0.301708i
$667$	10.6285	−	6.13636i	0.411537	−	0.237601i
$668$	1.24174	+	1.24174i	0.0480444	+	0.0480444i
$669$	13.6453	+	3.65626i	0.527560	+	0.141359i
$670$	−10.6338	−	2.84932i	−0.410819	−	0.110079i
$671$	−0.0434701	+	0.0434701i	−0.00167814	+	0.00167814i
$672$	3.25156	−	0.0915535i	0.125431	−	0.00353175i
$673$	24.5175	+	14.1552i	0.945082	+	0.545643i	0.891550	−	0.452923i	$-0.149619\pi$
$673$	24.5175	+	14.1552i	0.945082	+	0.545643i	0.0535322	+	0.998566i	$0.482952\pi$
$674$	−21.0048	+	5.62821i	−0.809074	+	0.216791i
$675$	−2.70140			−0.103977
$676$	−1.57624	+	2.35961i	−0.0606245	+	0.0907544i
$677$			19.7036i			0.757270i	0.925546	+	0.378635i	$0.123606\pi$
$677$			19.7036i			0.757270i	−0.925546	+	0.378635i	$0.876394\pi$
$678$	−16.1217	+	4.31981i	−0.619152	+	0.165901i
$679$	13.2271	+	21.4896i	0.507611	+	0.824696i
$680$	10.0004	−	5.77371i	0.383496	−	0.221412i
$681$	−15.7552	+	15.7552i	−0.603742	+	0.603742i
$682$	−1.25940	+	4.70013i	−0.0482248	+	0.179977i
$683$	6.28752	−	23.4653i	0.240585	−	0.897876i	−0.734966	−	0.678104i	$-0.762802\pi$
$683$	6.28752	−	23.4653i	0.240585	−	0.897876i	0.975551	−	0.219772i	$-0.0705313\pi$
$684$	−0.232339	+	0.232339i	−0.00888369	+	0.00888369i
$685$	27.3377	−	15.7834i	1.04452	−	0.603053i
$686$	11.7279	−	24.9665i	0.447772	−	0.953227i
$687$	−11.8761	+	3.18218i	−0.453100	+	0.121408i
$688$			16.6744i			0.635704i
$689$	−4.81818	+	1.12374i	−0.183558	+	0.0428113i
$690$	8.37382			0.318786
$691$	−20.9371	+	5.61007i	−0.796483	+	0.213417i	−0.634039	−	0.773301i	$-0.718604\pi$
$691$	−20.9371	+	5.61007i	−0.796483	+	0.213417i	−0.162444	+	0.986718i	$0.551938\pi$
$692$	4.12196	+	2.37982i	0.156694	+	0.0904671i
$693$	4.61528	−	0.129952i	0.175320	−	0.00493646i
$694$	17.8736	−	17.8736i	0.678474	−	0.678474i
$695$	−27.4771	−	7.36248i	−1.04227	−	0.279275i
$696$	8.48298	+	2.27301i	0.321546	+	0.0861581i
$697$	−6.51357	−	6.51357i	−0.246719	−	0.246719i
$698$	3.63127	−	2.09652i	0.137446	−	0.0793543i
$699$	−13.4233	+	23.2498i	−0.507715	+	0.879389i
$700$	1.51772	+	0.361212i	0.0573643	+	0.0136525i
$701$		−	33.2903i		−	1.25736i	−0.777665	−	0.628678i	$-0.783596\pi$
$701$		−	33.2903i		−	1.25736i	0.777665	−	0.628678i	$-0.216404\pi$
$702$	4.73583	−	2.53172i	0.178742	−	0.0955535i
$703$			9.08668i			0.342711i
$704$	3.13758	+	11.7096i	0.118252	+	0.441323i
$705$	−10.8876	−	6.28594i	−0.410050	−	0.236742i
$706$	23.6036	+	40.8827i	0.888334	+	1.53864i
$707$	−10.2038	−	34.2000i	−0.383754	−	1.28622i
$708$	0.211259	+	0.0566065i	0.00793958	+	0.00212740i
$709$	0.389951	−	1.45532i	0.0146449	−	0.0546556i	−0.958217	−	0.286043i	$-0.907660\pi$
$709$	0.389951	−	1.45532i	0.0146449	−	0.0546556i	0.972862	+	0.231388i	$0.0743266\pi$
$710$	18.8589	−	18.8589i	0.707762	−	0.707762i
$711$	−1.76513	−	3.05729i	−0.0661974	−	0.114657i
$712$	−10.3684	+	17.9587i	−0.388574	+	0.673030i
$713$	−1.79687	−	6.70601i	−0.0672933	−	0.251142i
$714$	5.37709	−	9.95005i	0.201232	−	0.372371i
$715$	−9.12887	−	2.76862i	−0.341400	−	0.103540i
$716$	−2.12145			−0.0792823
$717$	−8.78033	+	2.35268i	−0.327907	+	0.0878625i
$718$	−13.4985	+	23.3801i	−0.503761	+	0.872539i
$719$	−16.0502	−	27.7997i	−0.598570	−	1.03675i	−0.993032	−	0.117841i	$-0.962403\pi$
$719$	−16.0502	−	27.7997i	−0.598570	−	1.03675i	0.394463	−	0.918912i	$-0.370931\pi$
$720$	4.70515	+	4.70515i	0.175351	+	0.175351i
$721$	16.2364	−	17.1772i	0.604675	−	0.639713i
$722$	−6.45070	+	24.0744i	−0.240070	+	0.895955i
$723$	15.7456	+	15.7456i	0.585586	+	0.585586i
$724$	−2.57162	+	1.48473i	−0.0955735	+	0.0551794i
$725$	7.74243	+	4.47009i	0.287546	+	0.166015i
$726$	3.06636	+	11.4438i	0.113803	+	0.424720i
$727$	33.7702			1.25247			0.626233	−	0.779636i	$-0.284596\pi$
$727$	33.7702			1.25247			0.626233	+	0.779636i	$0.284596\pi$
$728$	24.4812	−	6.44137i	0.907334	−	0.238733i
$729$	−1.00000			−0.0370370
$730$	9.36860	+	34.9641i	0.346748	+	1.29408i
$731$	9.44341	+	5.45215i	0.349277	+	0.201655i
$732$	−0.00665935	+	0.00384478i	−0.000246137	+	0.000142107i
$733$	5.09323	+	5.09323i	0.188123	+	0.188123i	0.794884	−	0.606761i	$-0.207532\pi$
$733$	5.09323	+	5.09323i	0.188123	+	0.188123i	−0.606761	+	0.794884i	$0.707532\pi$
$734$	1.56438	−	5.83834i	0.0577423	−	0.215497i
$735$	10.0804	−	3.31926i	0.371820	−	0.122433i
$736$	3.22391	+	3.22391i	0.118835	+	0.118835i
$737$	−4.25399	−	7.36812i	−0.156698	−	0.271408i
$738$	2.39005	−	4.13968i	0.0879788	−	0.152384i
$739$	22.0821	−	5.91687i	0.812302	−	0.217656i	0.171324	−	0.985215i	$-0.445196\pi$
$739$	22.0821	−	5.91687i	0.812302	−	0.217656i	0.640978	+	0.767559i	$0.278529\pi$
$740$	−1.99772			−0.0734375
$741$	−2.86576	+	4.60913i	−0.105276	+	0.169321i
$742$	−4.75699	−	2.57072i	−0.174635	−	0.0943741i
$743$	−2.69085	−	10.0424i	−0.0987179	−	0.368420i	0.898839	−	0.438279i	$-0.144412\pi$
$743$	−2.69085	−	10.0424i	−0.0987179	−	0.368420i	−0.997557	+	0.0698588i	$0.977745\pi$
$744$	2.48401	−	4.30244i	0.0910683	−	0.157735i
$745$	1.36111	+	2.35751i	0.0498672	+	0.0863725i
$746$	−10.6886	+	10.6886i	−0.391336	+	0.391336i
$747$	3.96824	−	14.8097i	0.145190	−	0.541858i
$748$	−1.05606	−	0.282970i	−0.0386133	−	0.0103464i
$749$	9.86937	+	33.0791i	0.360619	+	1.20868i
$750$	8.69520	+	15.0605i	0.317504	+	0.549933i
$751$	−35.7335	−	20.6307i	−1.30393	−	0.752827i	−0.322858	−	0.946448i	$-0.604643\pi$
$751$	−35.7335	−	20.6307i	−1.30393	−	0.752827i	−0.981076	+	0.193621i	$0.937977\pi$
$752$	−9.41938	−	35.1536i	−0.343489	−	1.28192i
$753$			30.5470i			1.11319i
$754$	−17.7625	−	0.580426i	−0.646874	−	0.0211379i
$755$		−	32.0993i		−	1.16821i
$756$	0.561826	+	0.133713i	0.0204334	+	0.00486308i
$757$	9.58077	−	16.5944i	0.348219	−	0.603133i	−0.637714	−	0.770273i	$-0.720120\pi$
$757$	9.58077	−	16.5944i	0.348219	−	0.603133i	0.985933	+	0.167140i	$0.0534532\pi$
$758$	−5.18969	+	2.99627i	−0.188498	+	0.108829i
$759$	4.57604	+	4.57604i	0.166100	+	0.166100i
$760$	−5.84982	−	1.56745i	−0.212195	−	0.0568576i
$761$	16.3307	+	4.37578i	0.591986	+	0.158622i	0.542361	−	0.840146i	$-0.317531\pi$
$761$	16.3307	+	4.37578i	0.591986	+	0.158622i	0.0496251	+	0.998768i	$0.484197\pi$
$762$	4.46345	−	4.46345i	0.161694	−	0.161694i
$763$	1.47773	+	52.4821i	0.0534974	+	1.89998i
$764$	−0.159969	−	0.0923584i	−0.00578749	−	0.00334141i
$765$	4.20321	−	1.12625i	0.151967	−	0.0407195i
$766$	1.66818			0.0602739
$767$	3.61072	+	0.117987i	0.130376	+	0.00426027i
$768$			5.17862i			0.186867i
$769$	−47.1631	+	12.6373i	−1.70074	+	0.455713i	−0.973127	−	0.230271i	$-0.926039\pi$
$769$	−47.1631	+	12.6373i	−1.70074	+	0.455713i	−0.727617	+	0.685984i	$0.759372\pi$
$770$	−5.46497	−	8.87872i	−0.196944	−	0.319967i
$771$	11.3259	−	6.53903i	0.407894	−	0.235498i
$772$	0.244769	−	0.244769i	0.00880943	−	0.00880943i
$773$	2.27204	−	8.47936i	0.0817195	−	0.304981i	−0.912953	−	0.408064i	$-0.866204\pi$
$773$	2.27204	−	8.47936i	0.0817195	−	0.304981i	0.994673	+	0.103083i	$0.0328707\pi$
$774$	−1.46452	+	5.46568i	−0.0526412	+	0.196460i
$775$	3.57611	−	3.57611i	0.128458	−	0.128458i
$776$	−21.9188	+	12.6548i	−0.786840	+	0.454282i
$777$	13.6011	−	8.37167i	0.487938	−	0.300332i
$778$	3.54740	−	0.950523i	0.127180	−	0.0340779i
$779$			4.83112i			0.173093i
$780$	−1.01332	−	0.630040i	−0.0362827	−	0.0225590i
$781$	20.6117			0.737543
$782$	15.3123	−	4.10293i	0.547568	−	0.146721i
$783$	2.86608	+	1.65473i	0.102425	+	0.0591352i
$784$	27.4286	+	13.8398i	0.979593	+	0.494277i
$785$	20.9051	−	20.9051i	0.746136	−	0.746136i
$786$	−10.4656	−	2.80425i	−0.373295	−	0.100024i
$787$	21.5745	+	5.78087i	0.769047	+	0.206066i	0.621951	−	0.783056i	$-0.286340\pi$
$787$	21.5745	+	5.78087i	0.769047	+	0.206066i	0.147097	+	0.989122i	$0.453007\pi$
$788$	0.805178	+	0.805178i	0.0286833	+	0.0286833i
$789$	7.96308	−	4.59748i	0.283493	−	0.163675i
$790$	−3.98580	+	6.90360i	−0.141808	+	0.245619i
$791$	−28.8433	−	6.86461i	−1.02555	−	0.244077i
$792$			4.63094i			0.164553i
$793$	−0.0926987	+	0.0868322i	−0.00329183	+	0.00308350i
$794$		−	21.3602i		−	0.758045i
$795$	−0.538445	−	2.00950i	−0.0190967	−	0.0712697i
$796$	0.256399	+	0.148032i	0.00908781	+	0.00524685i
$797$	14.1995	+	24.5943i	0.502973	+	0.871175i	0.999994	+	0.00343670i	$0.00109394\pi$
$797$	14.1995	+	24.5943i	0.502973	+	0.871175i	−0.497021	+	0.867739i	$0.665573\pi$
$798$	−5.68408	+	1.69588i	−0.201214	+	0.0600336i
$799$	−22.9889	−	6.15986i	−0.813290	−	0.217920i
$800$	−0.859607	+	3.20810i	−0.0303917	+	0.113423i
$801$	−5.52562	+	5.52562i	−0.195238	+	0.195238i
$802$	7.39872	+	12.8150i	0.261258	+	0.452512i
$803$	−13.9872	+	24.2265i	−0.493597	+	0.854935i
$804$	−0.275434	−	1.02793i	−0.00971381	−	0.0362524i
$805$	13.0866	+	7.07209i	0.461241	+	0.249259i
$806$	−2.91780	+	9.62076i	−0.102775	+	0.338877i
$807$	−11.6226			−0.409134
$808$	34.5769	−	9.26484i	1.21641	−	0.325936i
$809$	−16.2864	+	28.2088i	−0.572598	+	0.991770i	0.423700	+	0.905803i	$0.360731\pi$
$809$	−16.2864	+	28.2088i	−0.572598	+	0.991770i	−0.996298	+	0.0859669i	$0.972602\pi$
$810$	1.12904	+	1.95556i	0.0396705	+	0.0687112i
$811$	−23.2549	−	23.2549i	−0.816589	−	0.816589i	0.169023	−	0.985612i	$-0.445939\pi$
$811$	−23.2549	−	23.2549i	−0.816589	−	0.816589i	−0.985612	+	0.169023i	$0.945939\pi$
$812$	−1.38898	−	1.31290i	−0.0487435	−	0.0460738i
$813$	5.43020	−	20.2658i	0.190445	−	0.710752i
$814$	−11.0943	−	11.0943i	−0.388855	−	0.388855i
$815$	−19.8058	+	11.4349i	−0.693767	+	0.400547i
$816$	10.9092	+	6.29844i	0.381899	+	0.220490i
$817$	−1.48016	−	5.52403i	−0.0517842	−	0.193261i
$818$	52.9666			1.85194
$819$	9.53929	+	0.0430791i	0.333330	+	0.00150531i
$820$	−1.06213			−0.0370911
$821$	4.01809	+	14.9957i	0.140232	+	0.523354i	0.999921	+	0.0125363i	$0.00399052\pi$
$821$	4.01809	+	14.9957i	0.140232	+	0.523354i	−0.859689	+	0.510817i	$0.829343\pi$
$822$	26.8558	+	15.5052i	0.936705	+	0.540807i
$823$	−7.93891	+	4.58353i	−0.276733	+	0.159772i	−0.631944	−	0.775014i	$-0.717743\pi$
$823$	−7.93891	+	4.58353i	−0.276733	+	0.159772i	0.355210	+	0.934786i	$0.384409\pi$
$824$	16.7635	+	16.7635i	0.583983	+	0.583983i
$825$	−1.22013	+	4.55360i	−0.0424796	+	0.158536i
$826$	2.86935	+	2.71219i	0.0998374	+	0.0943692i
$827$	23.9115	+	23.9115i	0.831483	+	0.831483i	0.987720	−	0.156237i	$-0.0499362\pi$
$827$	23.9115	+	23.9115i	0.831483	+	0.831483i	−0.156237	+	0.987720i	$0.549936\pi$
$828$	0.404735	+	0.701021i	0.0140655	+	0.0243622i
$829$	−0.903774	+	1.56538i	−0.0313894	+	0.0543680i	−0.881293	−	0.472570i	$-0.843327\pi$
$829$	−0.903774	+	1.56538i	−0.0313894	+	0.0543680i	0.849904	+	0.526938i	$0.176660\pi$
$830$	−33.4415	+	8.96061i	−1.16077	+	0.311027i
$831$	15.7897			0.547739
$832$	5.68895	+	24.3920i	0.197229	+	0.845641i
$833$	16.8066	−	11.0087i	0.582314	−	0.381428i
$834$	−7.23271	−	26.9928i	−0.250448	−	0.934686i
$835$	−6.09861	+	10.5631i	−0.211051	+	0.365551i
$836$	0.286700	+	0.496579i	0.00991573	+	0.0171746i
$837$	1.32380	−	1.32380i	0.0457571	−	0.0457571i
$838$	−9.88871	+	36.9052i	−0.341600	+	1.27487i
$839$	17.2364	+	4.61847i	0.595066	+	0.159447i	0.543767	−	0.839236i	$-0.316997\pi$
$839$	17.2364	+	4.61847i	0.595066	+	0.159447i	0.0512985	+	0.998683i	$0.483664\pi$
$840$	3.04331	+	10.2002i	0.105004	+	0.351942i
$841$	9.02374	+	15.6296i	0.311163	+	0.538951i
$842$	−17.6243	−	10.1754i	−0.607372	−	0.350666i
$843$	2.25635	+	8.42081i	0.0777128	+	0.290028i
$844$			5.41949i			0.186547i
$845$	−18.6642	−	6.33317i	−0.642069	−	0.217868i
$846$		−	12.3503i		−	0.424612i
$847$	−4.87276	+	20.4741i	−0.167430	+	0.703497i
$848$	3.01121	−	5.21556i	0.103405	−	0.179103i
$849$	4.61567	−	2.66486i	0.158410	−	0.0914578i
$850$	8.16561	+	8.16561i	0.280078	+	0.280078i
$851$	21.6229	+	5.79383i	0.741222	+	0.198610i
$852$	2.49030	+	0.667274i	0.0853163	+	0.0228604i
$853$	−13.9934	+	13.9934i	−0.479126	+	0.479126i	−0.904852	−	0.425726i	$-0.860019\pi$
$853$	−13.9934	+	13.9934i	−0.479126	+	0.479126i	0.425726	+	0.904852i	$0.360019\pi$
$854$	−0.138762	+	0.00390709i	−0.00474833	+	0.000133698i
$855$	−1.97643	−	1.14109i	−0.0675926	−	0.0390246i
$856$	−33.4436	+	8.96118i	−1.14308	+	0.306287i
$857$	39.0639			1.33440			0.667199	−	0.744879i	$-0.267493\pi$
$857$	39.0639			1.33440			0.667199	+	0.744879i	$0.267493\pi$
$858$	−2.12855	−	9.12640i	−0.0726675	−	0.311570i
$859$		−	28.2404i		−	0.963549i	−0.876295	−	0.481775i	$-0.839992\pi$
$859$		−	28.2404i		−	0.963549i	0.876295	−	0.481775i	$-0.160008\pi$
$860$	1.21446	−	0.325414i	0.0414128	−	0.0110965i
$861$	7.23132	−	4.45097i	0.246443	−	0.151689i
$862$	8.37267	−	4.83396i	0.285174	−	0.164645i
$863$	−16.2731	+	16.2731i	−0.553941	+	0.553941i	−0.927576	−	0.373635i	$-0.878111\pi$
$863$	−16.2731	+	16.2731i	−0.553941	+	0.553941i	0.373635	+	0.927576i	$0.378111\pi$
$864$	−0.318208	+	1.18757i	−0.0108256	+	0.0404018i
$865$	−8.55627	+	31.9324i	−0.290922	+	1.08574i
$866$	35.2351	−	35.2351i	1.19734	−	1.19734i
$867$	−7.58828	+	4.38109i	−0.257711	+	0.148790i
$868$	−0.920752	+	0.566735i	−0.0312524	+	0.0192362i
$869$	−5.95074	+	1.59449i	−0.201865	+	0.0540895i
$870$		−	7.47303i		−	0.253359i
$871$	−8.28727	−	15.5022i	−0.280803	−	0.525271i
$872$	−52.6601			−1.78330
$873$	−9.21262	+	2.46851i	−0.311800	+	0.0835465i
$874$	−7.20017	−	4.15702i	−0.243549	−	0.140613i
$875$	0.869485	+	30.8801i	0.0293939	+	1.04394i
$876$	−2.47423	+	2.47423i	−0.0835966	+	0.0835966i
$877$	43.5370	+	11.6657i	1.47014	+	0.393923i	0.902980	−	0.429683i	$-0.141375\pi$
$877$	43.5370	+	11.6657i	1.47014	+	0.393923i	0.567162	+	0.823607i	$0.308041\pi$
$878$	−28.2544	−	7.57075i	−0.953540	−	0.255500i
$879$	−15.2812	−	15.2812i	−0.515422	−	0.515422i
$880$	10.0564	−	5.80604i	0.339000	−	0.195722i
$881$	−3.87806	+	6.71699i	−0.130655	+	0.226301i	−0.923929	−	0.382563i	$-0.875041\pi$
$881$	−3.87806	+	6.71699i	−0.130655	+	0.226301i	0.793274	+	0.608865i	$0.208375\pi$
$882$	7.77524	+	6.94560i	0.261806	+	0.233871i
$883$		−	50.1556i		−	1.68787i	−0.536446	−	0.843935i	$-0.680234\pi$
$883$		−	50.1556i		−	1.68787i	0.536446	−	0.843935i	$-0.319766\pi$
$884$	−2.16166	−	0.655591i	−0.0727044	−	0.0220499i
$885$			1.51910i			0.0510638i
$886$	6.29663	+	23.4993i	0.211539	+	0.789476i
$887$	21.4271	+	12.3709i	0.719450	+	0.415375i	0.814550	−	0.580093i	$-0.196984\pi$
$887$	21.4271	+	12.3709i	0.719450	+	0.415375i	−0.0951001	+	0.995468i	$0.530317\pi$
$888$	8.00945	+	13.8728i	0.268780	+	0.465540i
$889$	10.7451	−	3.20586i	0.360378	−	0.107521i
$890$	17.0443	+	4.56701i	0.571327	+	0.153087i
$891$	−0.451666	+	1.68564i	−0.0151314	+	0.0564711i
$892$	2.18043	−	2.18043i	0.0730062	−	0.0730062i
$893$	6.24107	+	10.8098i	0.208849	+	0.361738i
$894$	−1.33712	+	2.31596i	−0.0447199	+	0.0774572i
$895$	−3.81368	−	14.2328i	−0.127477	−	0.475751i
$896$	−16.1072	+	29.8057i	−0.538105	+	0.995737i
$897$	9.14072	+	9.75828i	0.305200	+	0.325819i
$898$	−33.1466			−1.10612
$899$	−5.98463	+	1.60358i	−0.199599	+	0.0534823i
$900$	−0.294833	+	0.510666i	−0.00982777	+	0.0170222i
$901$	−1.96920	−	3.41075i	−0.0656035	−	0.113629i
$902$	−5.89852	−	5.89852i	−0.196399	−	0.196399i
$903$	−6.90479	+	7.30489i	−0.229777	+	0.243091i
$904$	7.69668	−	28.7244i	0.255988	−	0.955359i
$905$	−14.5840	−	14.5840i	−0.484788	−	0.484788i
$906$	27.3088	−	15.7667i	0.907274	−	0.523815i
$907$	−31.4697	−	18.1690i	−1.04493	−	0.603292i	−0.123706	−	0.992319i	$-0.539478\pi$
$907$	−31.4697	−	18.1690i	−1.04493	−	0.603292i	−0.921226	+	0.389027i	$0.872811\pi$
$908$	1.25879	+	4.69786i	0.0417743	+	0.155904i
$909$	13.4895			0.447417
$910$	−10.6860	−	18.7033i	−0.354238	−	0.620007i
$911$	17.4606			0.578497			0.289248	−	0.957254i	$-0.406595\pi$
$911$	17.4606			0.578497			0.289248	+	0.957254i	$0.406595\pi$
$912$	−1.70991	−	6.38147i	−0.0566208	−	0.211312i
$913$	−23.1715	−	13.3781i	−0.766864	−	0.442749i
$914$	12.7994	−	7.38975i	0.423367	−	0.244431i
$915$	−0.0377660	−	0.0377660i	−0.00124850	−	0.00124850i
$916$	−0.694610	+	2.59232i	−0.0229506	+	0.0856527i
$917$	−13.9873	−	13.2212i	−0.461900	−	0.436601i
$918$	3.02273	+	3.02273i	0.0997649	+	0.0997649i
$919$	12.6196	+	21.8577i	0.416281	+	0.721020i	0.995562	−	0.0941078i	$-0.0299998\pi$
$919$	12.6196	+	21.8577i	0.416281	+	0.721020i	−0.579281	+	0.815128i	$0.696666\pi$
$920$	−7.45989	+	12.9209i	−0.245945	+	0.425990i
$921$	4.76072	−	1.27563i	0.156871	−	0.0420334i
$922$	−54.2769			−1.78751
$923$	42.5629	+	1.39083i	1.40098	+	0.0457796i
$924$	0.479149	−	0.886643i	0.0157629	−	0.0291684i
$925$	4.22057	+	15.7514i	0.138771	+	0.517902i
$926$	5.87583	−	10.1772i	0.193092	−	0.334444i
$927$	4.46685	+	7.73681i	0.146711	+	0.254110i
$928$	2.87711	−	2.87711i	0.0944457	−	0.0944457i
$929$	0.568291	−	2.12089i	0.0186450	−	0.0695842i	−0.955977	−	0.293443i	$-0.905199\pi$
$929$	0.568291	−	2.12089i	0.0186450	−	0.0695842i	0.974622	+	0.223859i	$0.0718655\pi$
$930$	−4.08338	−	1.09414i	−0.133899	−	0.0358782i
$931$	−10.3153	−	2.15016i	−0.338071	−	0.0704685i
$932$	2.93005	+	5.07500i	0.0959771	+	0.166237i
$933$	14.3359	+	8.27682i	0.469335	+	0.270971i
$934$	−8.96927	−	33.4738i	−0.293483	−	1.09529i
$935$		−	7.59379i		−	0.248344i
$936$	−0.312485	+	9.56285i	−0.0102139	+	0.312572i
$937$		−	30.3704i		−	0.992157i	−0.868278	−	0.496079i	$-0.834773\pi$
$937$		−	30.3704i		−	0.992157i	0.868278	−	0.496079i	$-0.165227\pi$
$938$	4.44804	−	18.6895i	0.145234	−	0.610234i
$939$	10.5100	−	18.2038i	0.342980	−	0.594060i
$940$	−2.37655	+	1.37210i	−0.0775146	+	0.0447531i
$941$	−26.4335	−	26.4335i	−0.861707	−	0.861707i	0.129829	−	0.991536i	$-0.458557\pi$
$941$	−26.4335	−	26.4335i	−0.861707	−	0.861707i	−0.991536	+	0.129829i	$0.958557\pi$
$942$	28.0536	+	7.51694i	0.914035	+	0.244915i
$943$	11.4962	+	3.08041i	0.374369	+	0.100312i
$944$	−3.10954	+	3.10954i	−0.101207	+	0.101207i
$945$	0.112899	+	4.00967i	0.00367262	+	0.130434i
$946$	8.55170	+	4.93733i	0.278040	+	0.160526i
$947$	25.0722	−	6.71808i	0.814738	−	0.218308i	0.172693	−	0.984976i	$-0.444753\pi$
$947$	25.0722	−	6.71808i	0.814738	−	0.218308i	0.642044	+	0.766667i	$0.278086\pi$
$948$	−0.770588			−0.0250275
$949$	−30.5182	+	49.0837i	−0.990662	+	1.59333i
$950$		−	6.05644i		−	0.196497i
$951$	−14.0870	+	3.77461i	−0.456804	+	0.122400i
$952$	10.5628	+	17.1610i	0.342343	+	0.556192i
$953$	24.6170	−	14.2126i	0.797422	−	0.460392i	−0.0451471	−	0.998980i	$-0.514376\pi$
$953$	24.6170	−	14.2126i	0.797422	−	0.460392i	0.842569	+	0.538589i	$0.181042\pi$
$954$	1.44513	−	1.44513i	0.0467878	−	0.0467878i
$955$	0.332061	−	1.23927i	0.0107452	−	0.0401018i
$956$	−0.513547	+	1.91658i	−0.0166093	+	0.0619867i
$957$	4.08379	−	4.08379i	0.132010	−	0.132010i
$958$	−48.0588	+	27.7468i	−1.55271	+	0.896458i
$959$	28.8753	+	46.9126i	0.932432	+	1.51489i
$960$	−10.1731	+	2.72587i	−0.328335	+	0.0879771i
$961$		−	27.4951i		−	0.886939i
$962$	−22.1610	−	23.6583i	−0.714501	−	0.762774i
$963$	−13.0473			−0.420444
$964$	4.69499	−	1.25802i	0.151216	−	0.0405181i
$965$	2.08217	+	1.20214i	0.0670275	+	0.0386983i
$966$	0.411294	+	14.6073i	0.0132332	+	0.469981i
$967$	−18.9661	+	18.9661i	−0.609908	+	0.609908i	−0.942922	−	0.333014i	$-0.891935\pi$
$967$	−18.9661	+	18.9661i	−0.609908	+	0.609908i	0.333014	+	0.942922i	$0.391935\pi$
$968$	−20.3897	−	5.46340i	−0.655349	−	0.175600i
$969$	−4.17320	−	1.11821i	−0.134063	−	0.0359220i
$970$	15.2287	+	15.2287i	0.488965	+	0.488965i
$971$	−23.2259	+	13.4095i	−0.745355	+	0.430331i	−0.824013	−	0.566571i	$-0.808270\pi$
$971$	−23.2259	+	13.4095i	−0.745355	+	0.430331i	0.0786584	+	0.996902i	$0.474936\pi$
$972$	−0.109141	+	0.189037i	−0.00350069	+	0.00606337i
$973$	11.4935	−	48.2927i	0.368465	−	1.54819i
$974$		−	61.8168i		−	1.98074i
$975$	−2.82683	+	9.32081i	−0.0905310	+	0.298505i
$976$		−	0.154611i		−	0.00494899i
$977$	−8.48807	−	31.6779i	−0.271557	−	1.01347i	−0.958113	−	0.286389i	$-0.907545\pi$
$977$	−8.48807	−	31.6779i	−0.271557	−	1.01347i	0.686556	−	0.727077i	$-0.259122\pi$
$978$	−19.4567	−	11.2333i	−0.622157	−	0.359203i
$979$	6.81848	+	11.8099i	0.217919	+	0.377448i
$980$	0.472714	−	2.26783i	0.0151003	−	0.0724432i
$981$	−19.1681	−	5.13607i	−0.611989	−	0.163982i
$982$	−3.21392	+	11.9945i	−0.102560	+	0.382760i
$983$	21.2566	−	21.2566i	0.677982	−	0.677982i	−0.281561	−	0.959543i	$-0.590852\pi$
$983$	21.2566	−	21.2566i	0.677982	−	0.677982i	0.959543	+	0.281561i	$0.0908523\pi$
$984$	4.25839	+	7.37575i	0.135753	+	0.235130i
$985$	−3.95450	+	6.84939i	−0.126001	+	0.218240i
$986$	−3.66157	−	13.6652i	−0.116608	−	0.435188i
$987$	10.4304	−	19.3010i	0.332004	−	0.614357i
$988$	0.558526	+	1.04478i	0.0177691	+	0.0332388i
$989$	−14.0889			−0.448000
$990$	3.80632	−	1.01990i	0.120973	−	0.0324145i
$991$	17.6556	−	30.5804i	0.560849	−	0.971420i	−0.436573	−	0.899669i	$-0.643808\pi$
$991$	17.6556	−	30.5804i	0.560849	−	0.971420i	0.997423	−	0.0717510i	$-0.0228587\pi$
$992$	−1.15086	−	1.99334i	−0.0365397	−	0.0632886i
$993$	−16.6433	−	16.6433i	−0.528161	−	0.528161i
$994$	33.8237	+	31.9711i	1.07282	+	1.01406i
$995$	−0.532226	+	1.98630i	−0.0168727	+	0.0629698i
$996$	−2.36648	−	2.36648i	−0.0749849	−	0.0749849i
$997$	4.50099	−	2.59865i	0.142548	−	0.0822999i	−0.427030	−	0.904237i	$-0.640440\pi$
$997$	4.50099	−	2.59865i	0.142548	−	0.0822999i	0.569578	+	0.821938i	$0.307107\pi$
$998$	−12.0724	−	6.96998i	−0.382144	−	0.220631i
$999$	1.56236	+	5.83082i	0.0494310	+	0.184479i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.by.d.97.7	yes	32
3.2	odd	2		819.2.fm.e.370.2		32
7.6	odd	2		273.2.by.c.97.7	yes	32
13.11	odd	12		273.2.by.c.76.7	✓	32
21.20	even	2		819.2.fm.f.370.2		32
39.11	even	12		819.2.fm.f.622.2		32
91.76	even	12	inner	273.2.by.d.76.7	yes	32
273.167	odd	12		819.2.fm.e.622.2		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.by.c.76.7	✓	32	13.11	odd	12
273.2.by.c.97.7	yes	32	7.6	odd	2
273.2.by.d.76.7	yes	32	91.76	even	12	inner
273.2.by.d.97.7	yes	32	1.1	even	1	trivial
819.2.fm.e.370.2		32	3.2	odd	2
819.2.fm.e.622.2		32	273.167	odd	12
819.2.fm.f.370.2		32	21.20	even	2
819.2.fm.f.622.2		32	39.11	even	12

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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.by (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.385482 + 1.43864i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-0.189037 + 0.109141i) q^{4} +(-1.07205 - 1.07205i) q^{5} +(0.385482 - 1.43864i) q^{6} +(1.81743 - 1.92274i) q^{7} +(1.87643 + 1.87643i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(q+(0.385482 + 1.43864i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-0.189037 + 0.109141i) q^{4} +(-1.07205 - 1.07205i) q^{5} +(0.385482 - 1.43864i) q^{6} +(1.81743 - 1.92274i) q^{7} +(1.87643 + 1.87643i) q^{8} +(0.500000 + 0.866025i) q^{9} +(1.12904 - 1.95556i) q^{10} +(1.68564 - 0.451666i) q^{11} +0.218281 q^{12} +(3.51131 - 0.818944i) q^{13} +(3.46672 + 1.87345i) q^{14} +(0.392399 + 1.46445i) q^{15} +(-2.19446 + 3.80091i) q^{16} +(1.43508 + 2.48563i) q^{17} +(-1.05316 + 1.05316i) q^{18} +(0.389597 - 1.45400i) q^{19} +(0.319663 + 0.0856533i) q^{20} +(-2.53531 + 0.756429i) q^{21} +(1.29957 + 2.25092i) q^{22} +(-3.21155 - 1.85419i) q^{23} +(-0.686821 - 2.56325i) q^{24} -2.70140i q^{25} +(2.53172 + 4.73583i) q^{26} -1.00000i q^{27} +(-0.133713 + 0.561826i) q^{28} +(-1.65473 + 2.86608i) q^{29} +(-1.95556 + 1.12904i) q^{30} +(1.32380 + 1.32380i) q^{31} +(-1.18757 - 0.318208i) q^{32} +(-1.68564 - 0.451666i) q^{33} +(-3.02273 + 3.02273i) q^{34} +(-4.00967 + 0.112899i) q^{35} +(-0.189037 - 0.109141i) q^{36} +(-5.83082 + 1.56236i) q^{37} +2.24196 q^{38} +(-3.45036 - 1.04643i) q^{39} -4.02327i q^{40} +(-3.10007 + 0.830662i) q^{41} +(-2.06555 - 3.35581i) q^{42} +(3.29020 - 1.89960i) q^{43} +(-0.269354 + 0.269354i) q^{44} +(0.392399 - 1.46445i) q^{45} +(1.42951 - 5.33502i) q^{46} +(-5.86346 + 5.86346i) q^{47} +(3.80091 - 2.19446i) q^{48} +(-0.393883 - 6.98891i) q^{49} +(3.88635 - 1.04134i) q^{50} -2.87016i q^{51} +(-0.574389 + 0.538038i) q^{52} -1.37219 q^{53} +(1.43864 - 0.385482i) q^{54} +(-2.29131 - 1.32289i) q^{55} +(7.01818 - 0.197610i) q^{56} +(-1.06440 + 1.06440i) q^{57} +(-4.76112 - 1.27574i) q^{58} +(0.967827 + 0.259328i) q^{59} +(-0.234009 - 0.234009i) q^{60} +(-0.0305081 + 0.0176138i) q^{61} +(-1.39417 + 2.41477i) q^{62} +(2.57386 + 0.612570i) q^{63} +6.94669i q^{64} +(-4.64227 - 2.88636i) q^{65} -2.59914i q^{66} +(-1.26183 - 4.70921i) q^{67} +(-0.542567 - 0.313251i) q^{68} +(1.85419 + 3.21155i) q^{69} +(-1.70808 - 5.72495i) q^{70} +(11.4087 + 3.05695i) q^{71} +(-0.686821 + 2.56325i) q^{72} +(-11.3351 + 11.3351i) q^{73} +(-4.49535 - 7.78618i) q^{74} +(-1.35070 + 2.33948i) q^{75} +(0.0850419 + 0.317381i) q^{76} +(2.19510 - 4.06193i) q^{77} +(0.175384 - 5.36721i) q^{78} -3.53025 q^{79} +(6.42736 - 1.72221i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-2.39005 - 4.13968i) q^{82} +(-10.8414 - 10.8414i) q^{83} +(0.396712 - 0.419699i) q^{84} +(1.12625 - 4.20321i) q^{85} +(4.00116 + 4.00116i) q^{86} +(2.86608 - 1.65473i) q^{87} +(4.01051 + 2.31547i) q^{88} +(2.02252 + 7.54814i) q^{89} +2.25808 q^{90} +(4.80695 - 8.23973i) q^{91} +0.809469 q^{92} +(-0.484543 - 1.80834i) q^{93} +(-10.6957 - 6.17514i) q^{94} +(-1.97643 + 1.14109i) q^{95} +(0.869359 + 0.869359i) q^{96} +(-2.46851 + 9.21262i) q^{97} +(9.90269 - 3.26076i) q^{98} +(1.23397 + 1.23397i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q - 2 q^{2} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 16 q^{9}+O(q^{10}) \) 32 * q - 2 * q^2 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 + 16 * q^9	\( 32 q - 2 q^{2} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 16 q^{9} + 2 q^{10} - 4 q^{11} + 32 q^{12} + 6 q^{13} + 34 q^{14} + 4 q^{15} + 14 q^{16} - 8 q^{17} + 2 q^{18} + 2 q^{19} + 44 q^{20} - 4 q^{21} - 4 q^{22} - 18 q^{23} + 4 q^{24} - 28 q^{26} - 32 q^{28} - 18 q^{29} - 14 q^{31} - 8 q^{32} + 4 q^{33} - 66 q^{34} + 22 q^{35} + 6 q^{36} - 24 q^{37} + 24 q^{38} + 8 q^{39} - 26 q^{42} - 6 q^{43} - 20 q^{44} + 4 q^{45} - 58 q^{46} - 28 q^{47} - 60 q^{48} + 8 q^{49} + 70 q^{50} + 28 q^{52} - 80 q^{53} - 4 q^{54} + 60 q^{55} - 54 q^{56} + 16 q^{57} - 4 q^{58} - 42 q^{59} - 58 q^{60} + 36 q^{61} + 52 q^{62} + 4 q^{63} + 14 q^{65} + 26 q^{67} - 72 q^{68} + 2 q^{69} - 116 q^{70} - 4 q^{71} + 4 q^{72} + 12 q^{73} - 18 q^{74} + 16 q^{75} - 48 q^{76} + 28 q^{77} - 14 q^{78} - 4 q^{79} - 98 q^{80} - 16 q^{81} + 20 q^{82} - 36 q^{83} - 18 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} - 54 q^{89} + 4 q^{90} + 148 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} + 22 q^{96} - 40 q^{97} + 36 q^{98} + 4 q^{99}+O(q^{100}) \) 32 * q - 2 * q^2 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 + 16 * q^9 + 2 * q^10 - 4 * q^11 + 32 * q^12 + 6 * q^13 + 34 * q^14 + 4 * q^15 + 14 * q^16 - 8 * q^17 + 2 * q^18 + 2 * q^19 + 44 * q^20 - 4 * q^21 - 4 * q^22 - 18 * q^23 + 4 * q^24 - 28 * q^26 - 32 * q^28 - 18 * q^29 - 14 * q^31 - 8 * q^32 + 4 * q^33 - 66 * q^34 + 22 * q^35 + 6 * q^36 - 24 * q^37 + 24 * q^38 + 8 * q^39 - 26 * q^42 - 6 * q^43 - 20 * q^44 + 4 * q^45 - 58 * q^46 - 28 * q^47 - 60 * q^48 + 8 * q^49 + 70 * q^50 + 28 * q^52 - 80 * q^53 - 4 * q^54 + 60 * q^55 - 54 * q^56 + 16 * q^57 - 4 * q^58 - 42 * q^59 - 58 * q^60 + 36 * q^61 + 52 * q^62 + 4 * q^63 + 14 * q^65 + 26 * q^67 - 72 * q^68 + 2 * q^69 - 116 * q^70 - 4 * q^71 + 4 * q^72 + 12 * q^73 - 18 * q^74 + 16 * q^75 - 48 * q^76 + 28 * q^77 - 14 * q^78 - 4 * q^79 - 98 * q^80 - 16 * q^81 + 20 * q^82 - 36 * q^83 - 18 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 - 54 * q^89 + 4 * q^90 + 148 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 + 22 * q^96 - 40 * q^97 + 36 * q^98 + 4 * q^99

Introduction

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