LMFDB - Embedded newform 273.2.by.c.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.c.76.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.385482 + 1.43864i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-0.189037 + 0.109141i) q^{4} +(1.07205 + 1.07205i) q^{5} +(-0.385482 + 1.43864i) q^{6} +(-0.612570 - 2.57386i) q^{7} +(1.87643 + 1.87643i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(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} +(-0.612570 - 2.57386i) 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} +(0.756429 - 2.53531i) 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} +(0.396712 + 0.419699i) 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} +(2.10261 - 3.41602i) 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} +(3.93899 + 0.110910i) 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} +(-6.24951 + 3.15334i) 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} +(3.68022 - 5.97912i) 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} +(1.92274 - 1.81743i) 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} +(5.72495 + 1.70808i) 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} +(0.133713 + 0.561826i) 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} +(4.25878 + 8.53597i) 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} +(-6.94560 - 7.77524i) 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} + 2 q^{21} - 4 q^{22} - 18 q^{23} - 4 q^{24} + 28 q^{26} - 18 q^{28} - 18 q^{29} + 14 q^{31} - 8 q^{32} - 4 q^{33} + 66 q^{34} - 20 q^{35} + 6 q^{36} - 24 q^{37} - 24 q^{38} + 8 q^{39} + 16 q^{42} - 6 q^{43} - 20 q^{44} - 4 q^{45} - 58 q^{46} + 28 q^{47} + 60 q^{48} + 10 q^{49} + 70 q^{50} - 28 q^{52} - 80 q^{53} + 4 q^{54} - 60 q^{55} - 120 q^{56} + 16 q^{57} - 4 q^{58} + 42 q^{59} - 58 q^{60} - 36 q^{61} - 52 q^{62} + 2 q^{63} + 14 q^{65} + 26 q^{67} + 72 q^{68} - 2 q^{69} + 68 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} + 32 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} + 54 q^{89} - 4 q^{90} - 54 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} - 22 q^{96} + 40 q^{97} + 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 + 2 * q^21 - 4 * q^22 - 18 * q^23 - 4 * q^24 + 28 * q^26 - 18 * q^28 - 18 * q^29 + 14 * q^31 - 8 * q^32 - 4 * q^33 + 66 * q^34 - 20 * q^35 + 6 * q^36 - 24 * q^37 - 24 * q^38 + 8 * q^39 + 16 * q^42 - 6 * q^43 - 20 * q^44 - 4 * q^45 - 58 * q^46 + 28 * q^47 + 60 * q^48 + 10 * q^49 + 70 * q^50 - 28 * q^52 - 80 * q^53 + 4 * q^54 - 60 * q^55 - 120 * q^56 + 16 * q^57 - 4 * q^58 + 42 * q^59 - 58 * q^60 - 36 * q^61 - 52 * q^62 + 2 * q^63 + 14 * q^65 + 26 * q^67 + 72 * q^68 - 2 * q^69 + 68 * 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 + 32 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 + 54 * q^89 - 4 * q^90 - 54 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 - 22 * q^96 + 40 * q^97 + 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	0.904952	−	0.425515i	$-0.139907\pi$
$5$	1.07205	+	1.07205i	0.479437	+	0.479437i	−0.425515	+	0.904952i	$0.639907\pi$
$6$	−0.385482	+	1.43864i	−0.157373	+	0.587322i
$7$	−0.612570	−	2.57386i	−0.231530	−	0.972828i
$7$	−0.612570	−	2.57386i	−0.231530	−	0.972828i
$8$	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	0.637847	−	0.770164i	$-0.279825\pi$
$17$	−1.43508	−	2.48563i	−0.348058	−	0.602854i	−0.985904	+	0.167310i	$0.946492\pi$
$18$	−1.05316	+	1.05316i	−0.248232	+	0.248232i
$19$	−0.389597	+	1.45400i	−0.0893798	+	0.333570i	−0.996108	−	0.0881466i	$-0.971906\pi$
$19$	−0.389597	+	1.45400i	−0.0893798	+	0.333570i	0.906728	+	0.421717i	$0.138572\pi$
$20$	−0.319663	−	0.0856533i	−0.0714787	−	0.0191527i
$21$	0.756429	−	2.53531i	0.165066	−	0.553251i
$22$	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
$28$	0.396712	+	0.419699i	0.0749714	+	0.0793157i
$29$	−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	0.578161	−	0.815922i	$-0.303770\pi$
$31$	−1.32380	−	1.32380i	−0.237761	−	0.237761i	−0.815922	+	0.578161i	$0.803770\pi$
$32$	−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
$35$	2.10261	−	3.41602i	0.355406	−	0.577413i
$36$	−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	−0.00848433	−	0.999964i	$-0.502701\pi$
$41$	3.10007	−	0.830662i	0.484150	−	0.129728i	0.492634	+	0.870236i	$0.336034\pi$
$42$	3.93899	+	0.110910i	0.607800	+	0.0171137i
$43$	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	−0.135504	−	0.990777i	$-0.543265\pi$
$47$	5.86346	−	5.86346i	0.855273	−	0.855273i	0.990777	+	0.135504i	$0.0432652\pi$
$48$	−3.80091	+	2.19446i	−0.548614	+	0.316743i
$49$	−6.24951	+	3.15334i	−0.892788	+	0.450477i
$50$	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
$56$	3.68022	−	5.97912i	0.491791	−	0.798993i
$57$	−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	0.195268	−	0.980750i	$-0.437442\pi$
$59$	−0.967827	−	0.259328i	−0.126000	−	0.0337617i	−0.321268	+	0.946988i	$0.604109\pi$
$60$	−0.234009	−	0.234009i	−0.0302105	−	0.0302105i
$61$	0.0305081	−	0.0176138i	0.00390616	−	0.00225522i	−0.498046	−	0.867151i	$-0.665949\pi$
$61$	0.0305081	−	0.0176138i	0.00390616	−	0.00225522i	0.501952	+	0.864896i	$0.332615\pi$
$62$	1.39417	−	2.41477i	0.177059	−	0.306676i
$63$	1.92274	−	1.81743i	0.242243	−	0.228975i
$64$			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
$70$	5.72495	+	1.70808i	0.684262	+	0.204154i
$71$	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	$-0.362587\pi$
$73$	11.3351	−	11.3351i	1.32667	−	1.32667i	0.908258	−	0.418410i	$-0.137413\pi$
$74$	−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	$0.0683025\pi$
$83$	10.8414	+	10.8414i	1.19000	+	1.19000i	0.212936	+	0.977066i	$0.431698\pi$
$84$	0.133713	+	0.561826i	0.0145893	+	0.0613002i
$85$	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	$-0.947408\pi$
$89$	−2.02252	−	7.54814i	−0.214386	−	0.800101i	0.771995	−	0.635628i	$-0.219259\pi$
$90$	−2.25808			−0.238023
$91$	4.25878	+	8.53597i	0.446441	+	0.894813i
$92$	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	$-0.755778\pi$
$97$	2.46851	−	9.21262i	0.250640	−	0.935400i	0.970465	−	0.241244i	$-0.0775554\pi$
$98$	−6.94560	−	7.77524i	−0.701612	−	0.785418i
$99$	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	$0.400855\pi$
$101$	−6.74473	+	11.6822i	−0.671125	+	1.16242i	−0.977585	+	0.210540i	$0.932478\pi$
$102$	4.12913	−	1.10640i	0.408844	−	0.109550i
$103$	−8.93370			−0.880264			−0.440132	−	0.897933i	$-0.645068\pi$
$103$	−8.93370			−0.880264			−0.440132	+	0.897933i	$0.645068\pi$
$104$	−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
$112$	11.1273	+	3.31990i	1.05143	+	0.313701i
$113$	−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
$119$	−5.51858	+	5.21632i	−0.505887	+	0.478179i
$120$	−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
$126$	3.35581	+	2.06555i	0.298960	+	0.184014i
$127$	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	$0.102942\pi$
$131$			7.27464i			0.635589i	−0.948160	+	0.317794i	$0.897058\pi$
$132$	−0.367944	+	0.0985903i	−0.0320254	+	0.00858119i
$133$	3.98104	+	0.112094i	0.345200	+	0.00971974i
$134$	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	−0.991946	−	0.126665i	$-0.959573\pi$
$139$	−16.2490	+	9.38137i	−1.37822	+	0.795718i	−0.386278	+	0.922382i	$0.626239\pi$
$140$	−0.0246439	+	0.875236i	−0.00208279	+	0.0739709i
$141$	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
$147$	−6.98891	−	0.393883i	−0.576436	−	0.0324869i
$148$	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
$154$	4.99748	−	4.72376i	0.402708	−	0.380651i
$155$		−	2.83836i		−	0.227983i
$156$	0.766455	−	0.178760i	0.0613655	−	0.0143123i
$157$		−	19.5001i		−	1.55628i	−0.628093	−	0.778138i	$-0.716164\pi$
$157$		−	19.5001i		−	1.55628i	0.628093	−	0.778138i	$-0.283836\pi$
$158$	−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
$161$	−2.80512	+	9.40190i	−0.221075	+	0.740973i
$162$	−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	$0.0174219\pi$
$167$	2.08221	+	7.77093i	0.161127	+	0.601333i	−0.837376	+	0.546627i	$0.815911\pi$
$168$	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	$0.144368\pi$
$173$	10.9025	+	18.8837i	0.828903	+	1.43570i	−0.0699960	+	0.997547i	$0.522299\pi$
$174$	−3.48538	−	3.48538i	−0.264226	−	0.264226i
$175$	−6.95303	+	1.65480i	−0.525600	+	0.125091i
$176$	−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	$-0.668722\pi$
$181$	−13.6038			−1.01116			−0.505580	+	0.862779i	$0.668722\pi$
$182$	−10.6385	+	9.41731i	−0.788579	+	0.698058i
$183$	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
$189$	2.57386	−	0.612570i	0.187221	−	0.0445579i
$190$	−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	0.889061	−	0.457788i	$-0.151358\pi$
$199$	0.678170	+	1.17462i	0.0480742	+	0.0832670i	−0.840987	+	0.541055i	$0.818025\pi$
$200$	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
$203$	8.39052	+	2.50337i	0.588899	+	0.175702i
$204$	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
$210$	4.10391	+	4.34171i	0.283197	+	0.299607i
$211$	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
$217$	−2.59635	+	4.21819i	−0.176252	+	0.286349i
$218$	−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	0.228844	−	0.973463i	$-0.426506\pi$
$223$	13.6453	−	3.65626i	0.913760	−	0.244841i	0.684916	+	0.728622i	$0.259839\pi$
$224$	−0.0915535	+	3.25156i	−0.00611717	+	0.217254i
$225$	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	$0.348238\pi$
$227$	−5.76681	+	21.5220i	−0.382757	+	1.42847i	−0.841673	+	0.539988i	$0.818429\pi$
$228$	0.0850419	−	0.317381i	0.00563204	−	0.0210190i
$229$	−8.69387	+	8.69387i	−0.574507	+	0.574507i	−0.933385	−	0.358877i	$-0.883160\pi$
$229$	−8.69387	+	8.69387i	−0.574507	+	0.574507i	0.358877	+	0.933385i	$0.383160\pi$
$230$	7.25194	−	4.18691i	0.478179	−	0.276077i
$231$	0.129952	−	4.61528i	0.00855019	−	0.303663i
$232$	−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
$238$	−9.63172	−	5.92845i	−0.624332	−	0.384284i
$239$	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	0.873120	−	0.487506i	$-0.162093\pi$
$241$	21.5089	+	5.76329i	1.38551	+	0.371246i	0.512391	+	0.858752i	$0.328760\pi$
$242$	−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
$245$	−10.0804	−	3.31926i	−0.644011	−	0.212060i
$246$			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	$0.247729\pi$
$251$	15.2735	+	26.4545i	0.964055	+	1.66979i	0.251921	+	0.967748i	$0.418938\pi$
$252$	−0.165114	+	0.553412i	−0.0104012	+	0.0348617i
$253$	−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	−0.586760	−	0.809761i	$-0.699597\pi$
$257$	6.53903	−	11.3259i	0.407894	−	0.706493i	0.994654	+	0.103268i	$0.0329300\pi$
$258$	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
$266$	1.37336	+	5.77050i	0.0842061	+	0.353812i
$267$	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	−0.774412	−	0.632681i	$-0.781954\pi$
$269$	−10.0654	+	5.81128i	−0.613700	+	0.354320i	0.160712	+	0.987001i	$0.448621\pi$
$270$	−1.95556	−	1.12904i	−0.119011	−	0.0687112i
$271$	−5.43020	−	20.2658i	−0.329861	−	1.23106i	−0.909334	−	0.416067i	$-0.863408\pi$
$271$	−5.43020	−	20.2658i	−0.329861	−	1.23106i	0.579473	−	0.814991i	$-0.303258\pi$
$272$	12.5969			0.763798
$273$	−0.579778	+	9.52176i	−0.0350897	+	0.576283i
$274$	−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
$280$	10.3553	−	2.46453i	0.618849	−	0.147284i
$281$	−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	−0.775886	−	0.630873i	$-0.782697\pi$
$283$	2.66486	−	4.61567i	0.158410	−	0.274373i	0.934295	+	0.356500i	$0.116030\pi$
$284$	−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	−0.409018	−	0.912526i	$-0.634129\pi$
$293$	−20.8745	−	5.59331i	−1.21950	−	0.326764i	−0.810483	+	0.585762i	$0.800795\pi$
$294$	−2.12745	−	10.2064i	−0.124075	−	0.595247i
$295$	−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
$301$	−6.90479	−	7.30489i	−0.397985	−	0.421047i
$302$	−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	−0.600626	−	0.799530i	$-0.705082\pi$
$307$	3.48509	−	3.48509i	0.198904	−	0.198904i	0.799530	+	0.600626i	$0.205082\pi$
$308$	0.858277	+	0.528281i	0.0489049	+	0.0301016i
$309$	−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	$-0.344494\pi$
$311$	16.5536			0.938671			0.469335	+	0.883020i	$0.344494\pi$
$312$	−4.51081	−	8.43791i	−0.255374	−	0.477703i
$313$		−	21.0200i		−	1.18812i	−0.804421	−	0.594060i	$-0.797524\pi$
$313$		−	21.0200i		−	1.18812i	0.804421	−	0.594060i	$-0.202476\pi$
$314$	28.0536	−	7.51694i	1.58316	−	0.424205i
$315$	4.00967	+	0.112899i	0.225919	+	0.00636117i
$316$	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
$322$	−14.6073	−	0.411294i	−0.814031	−	0.0229205i
$323$	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
$329$	−18.6835	−	11.4999i	−1.03005	−	0.634012i
$330$	−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
$336$	7.97656	+	8.43876i	0.435157	+	0.460372i
$337$			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
$343$	11.9445	+	14.1537i	0.644944	+	0.764230i
$344$	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	0.982682	−	0.185302i	$-0.0593263\pi$
$349$	0.728645	+	2.71934i	0.0390035	+	0.145563i	−0.943678	+	0.330865i	$0.892660\pi$
$350$	−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	−0.953775	−	0.300521i	$-0.902839\pi$
$353$	−30.6157	+	8.20345i	−1.62951	+	0.436625i	−0.675733	+	0.737146i	$0.736173\pi$
$354$	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
$357$	−7.38739	+	1.75817i	−0.390982	+	0.0930525i
$358$	−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
$364$	−1.73669	−	1.14881i	−0.0910272	−	0.0602140i
$365$	24.3036			1.27211
$366$	0.0135797	+	0.0506800i	0.000709820	+	0.00264908i
$367$	3.51454	+	2.02912i	0.183457	+	0.105919i	0.588916	−	0.808194i	$-0.299555\pi$
$367$	3.51454	+	2.02912i	0.183457	+	0.105919i	−0.405459	+	0.914113i	$0.632888\pi$
$368$	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
$371$	0.840561	+	3.53182i	0.0436398	+	0.183363i
$372$	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	−0.972937	−	0.231072i	$-0.925777\pi$
$383$	−0.289889	+	1.08188i	−0.0148126	+	0.0552815i	0.958124	+	0.286354i	$0.0924433\pi$
$384$	−12.3689	−	3.31424i	−0.631199	−	0.169129i
$385$	2.00134	−	6.70787i	0.101998	−	0.341865i
$386$	−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
$392$	−17.6438	−	5.80975i	−0.891147	−	0.293437i
$393$	−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	0.589105	−	0.808056i	$-0.299480\pi$
$397$	13.8529	+	3.71187i	0.695257	+	0.186294i	0.106152	+	0.994350i	$0.466147\pi$
$398$	−1.42844	+	1.42844i	−0.0716012	+	0.0716012i
$399$	3.39164	+	2.08760i	0.169794	+	0.104511i
$400$	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
$406$	−0.367051	+	13.0359i	−0.0182164	+	0.646963i
$407$	−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	$0.425276\pi$
$409$	−9.20429	+	34.3509i	−0.455123	+	1.69854i	−0.687726	+	0.725970i	$0.741391\pi$
$410$	−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
$413$	−0.0746130	+	2.64991i	−0.00367146	+	0.130393i
$414$	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	−0.152995	−	0.988227i	$-0.548892\pi$
$419$	−22.2160	−	12.8264i	−1.08532	−	0.626611i	−0.932327	+	0.361616i	$0.882225\pi$
$420$	−0.458960	+	0.745654i	−0.0223950	+	0.0363842i
$421$	−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
$427$	−0.0640239	−	0.0677338i	−0.00309834	−	0.00327787i
$428$		−	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	$0.130585\pi$
$433$	16.7283	+	28.9743i	0.803912	+	1.39242i	−0.113111	+	0.993582i	$0.536082\pi$
$434$	−7.06930	−	2.10918i	−0.339337	−	0.101244i
$435$	−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	−0.530684	−	0.847570i	$-0.678065\pi$
$439$	9.81984	−	17.0085i	0.468675	−	0.811769i	0.999359	+	0.0358007i	$0.0113981\pi$
$440$	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
$448$	17.8798	−	4.25534i	0.844741	−	0.201046i
$449$	−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
$455$	−4.58538	+	13.7167i	−0.214966	+	0.643047i
$456$	−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	$-0.594085\pi$
$461$	9.43198	−	35.2006i	0.439291	−	1.63946i	0.730584	−	0.682823i	$-0.239248\pi$
$462$	6.68982	−	1.59216i	0.311239	−	0.0740738i
$463$	−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	$-0.319048\pi$
$467$	23.2676			1.07670			0.538349	+	0.842722i	$0.319048\pi$
$468$	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
$476$	0.473904	−	1.58838i	0.0217214	−	0.0728033i
$477$	−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	$-0.759203\pi$
$479$	−9.64340	−	35.9897i	−0.440618	−	1.64441i	0.286634	−	0.958040i	$-0.407464\pi$
$480$		−	1.86400i		−	0.0850795i
$481$	19.1943	−	10.2611i	0.875187	−	0.467864i
$482$			33.1652i			1.51063i
$483$	−7.13025	+	6.73972i	−0.324438	+	0.306668i
$484$	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
$490$	0.889421	−	15.7815i	0.0401799	−	0.712937i
$491$	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
$497$	0.879533	−	31.2369i	0.0394524	−	1.40117i
$498$	−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	−0.358515	−	0.933524i	$-0.616717\pi$
$503$	6.07077	−	3.50496i	0.270682	−	0.156278i	0.629198	+	0.777245i	$0.283384\pi$
$504$	7.01818	+	0.197610i	0.312614	+	0.00880223i
$505$	−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	−0.394336	−	0.918966i	$-0.629025\pi$
$509$	−6.23491	+	1.67064i	−0.276357	+	0.0740498i	0.117978	+	0.993016i	$0.462359\pi$
$510$	5.61276	+	3.24053i	0.248537	+	0.143493i
$511$	−36.1184	−	22.2313i	−1.59778	−	0.983457i
$512$	−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
$518$	−17.2868	+	16.3400i	−0.759539	+	0.717938i
$519$			21.8050i			0.957135i
$520$	−3.29483	−	14.1270i	−0.144488	−	0.619508i
$521$		−	13.2340i		−	0.579793i	−0.957058	−	0.289896i	$-0.906379\pi$
$521$		−	13.2340i		−	0.579793i	0.957058	−	0.289896i	$-0.0936208\pi$
$522$	−1.27574	−	4.76112i	−0.0558375	−	0.208389i
$523$	−35.3268	−	20.3959i	−1.54473	−	0.891852i	−0.998530	−	0.0541990i	$-0.982739\pi$
$523$	−35.3268	−	20.3959i	−1.54473	−	0.891852i	−0.546203	−	0.837653i	$-0.683927\pi$
$524$	−0.793960	−	1.37518i	−0.0346843	−	0.0600749i
$525$	−6.84890	−	2.04342i	−0.298911	−	0.0891821i
$526$	−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
$539$	−9.11018	+	8.13810i	−0.392403	+	0.350533i
$540$	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
$546$	−13.9219	+	2.83638i	−0.595801	+	0.121386i
$547$	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
$553$	2.16253	+	9.08637i	0.0919600	+	0.386392i
$554$	−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	0.804325	−	0.594190i	$-0.202527\pi$
$563$	−2.66750	−	4.62024i	−0.112422	−	0.194720i	−0.916746	+	0.399470i	$0.869194\pi$
$564$	−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
$567$	2.53531	+	0.756429i	0.106473	+	0.0317670i
$568$	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
$574$	9.19089	−	8.68749i	0.383620	−	0.362609i
$575$	−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	0.506334	−	0.862337i	$-0.331000\pi$
$577$	−8.55149	−	8.55149i	−0.356003	−	0.356003i	−0.862337	+	0.506334i	$0.831000\pi$
$578$	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
$581$	21.2632	−	34.5455i	0.882146	−	1.43319i
$582$	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	0.763929	−	0.645300i	$-0.223268\pi$
$587$	42.3546	−	11.3489i	1.74816	−	0.468419i	0.984232	+	0.176881i	$0.0566009\pi$
$588$	1.36415	−	0.688316i	0.0562567	−	0.0283857i
$589$	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	$0.574845\pi$
$593$	−29.3548	+	29.3548i	−1.20546	+	1.20546i	−0.972483	+	0.232973i	$0.925155\pi$
$594$	−2.25092	+	1.29957i	−0.0923564	+	0.0533220i
$595$	−11.5084	−	0.324040i	−0.471798	−	0.0132843i
$596$	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	0.418837	−	0.908062i	$-0.362438\pi$
$601$	−3.87707	−	2.23843i	−0.158149	−	0.0913074i	−0.576986	+	0.816754i	$0.695771\pi$
$602$	7.84743	−	12.7494i	0.319837	−	0.519627i
$603$	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	−0.723458	−	0.690368i	$-0.757449\pi$
$607$	−12.0061	+	6.93170i	−0.487311	+	0.281349i	0.236147	+	0.971717i	$0.424115\pi$
$608$	0.925346	−	1.60275i	0.0375277	−	0.0649999i
$609$	6.01472	+	6.36324i	0.243729	+	0.257851i
$610$			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
$616$	3.50297	−	11.7409i	0.141139	−	0.473053i
$617$	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	−0.634873	−	0.772616i	$-0.718948\pi$
$619$	3.42700	−	3.42700i	0.137743	−	0.137743i	0.772616	+	0.634873i	$0.218948\pi$
$620$	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
$630$	1.38323	+	5.81199i	0.0551094	+	0.231555i
$631$	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
$637$	19.3616	−	16.1904i	0.767135	−	0.641486i
$638$	−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	−0.928669	−	0.370909i	$-0.879046\pi$
$643$	1.54772	−	5.77618i	0.0610362	−	0.227790i	0.989706	+	0.143118i	$0.0457129\pi$
$644$	−0.495857	−	2.08346i	−0.0195395	−	0.0820999i
$645$	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	−0.983380	−	0.181558i	$-0.941886\pi$
$647$	−8.50730	+	14.7351i	−0.334456	+	0.579296i	0.648924	+	0.760853i	$0.275219\pi$
$648$	−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
$658$	9.34211	−	31.3119i	0.364193	−	1.22066i
$659$	−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	$0.0544912\pi$
$661$	5.58403	+	20.8399i	0.217193	+	0.810577i	−0.768189	+	0.640223i	$0.778842\pi$
$662$			35.0561i			1.36250i
$663$	2.35050	+	10.0780i	0.0912859	+	0.391398i
$664$			40.6864i			1.57894i
$665$	4.14772	+	4.38806i	0.160842	+	0.170162i
$666$	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
$672$	−1.70507	+	2.77015i	−0.0657743	+	0.106861i
$673$	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	$-0.876394\pi$
$677$		−	19.7036i		−	0.757270i	0.925546	−	0.378635i	$-0.123606\pi$
$678$	16.1217	−	4.31981i	0.619152	−	0.165901i
$679$	−25.2241	−	0.710231i	−0.968013	−	0.0272562i
$680$	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
$686$	−15.7577	+	22.6399i	−0.601633	+	0.864395i
$687$	−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	0.162444	−	0.986718i	$-0.448062\pi$
$691$	20.9371	−	5.61007i	0.796483	−	0.213417i	0.634039	+	0.773301i	$0.281396\pi$
$692$	−4.12196	−	2.37982i	−0.156694	−	0.0904671i
$693$	2.42018	−	3.93198i	0.0919351	−	0.149363i
$694$	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
$700$	1.13378	−	1.07168i	0.0428527	−	0.0405056i
$701$		−	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
$707$	34.2000	+	10.2038i	1.28622	+	0.383754i
$708$	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	$0.0375974\pi$
$719$	16.0502	+	27.7997i	0.598570	+	1.03675i	−0.394463	+	0.918912i	$0.629069\pi$
$720$	−4.70515	−	4.70515i	−0.175351	−	0.175351i
$721$	5.47252	+	22.9941i	0.203807	+	0.856345i
$722$	−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	$-0.715404\pi$
$727$	−33.7702			−1.25247			−0.626233	+	0.779636i	$0.715404\pi$
$728$	−8.02586	+	24.0085i	−0.297458	+	0.889813i
$729$	−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	0.606761	−	0.794884i	$-0.292468\pi$
$733$	−5.09323	−	5.09323i	−0.188123	−	0.188123i	−0.794884	+	0.606761i	$0.792468\pi$
$734$	−1.56438	+	5.83834i	−0.0577423	+	0.215497i
$735$	−7.07022	−	7.91475i	−0.260789	−	0.291940i
$736$	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
$749$	33.0791	+	9.86937i	1.20868	+	0.360619i
$750$	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
$756$	−0.419699	+	0.396712i	−0.0152643	+	0.0144283i
$757$	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	−0.0496251	−	0.998768i	$-0.515803\pi$
$761$	−16.3307	−	4.37578i	−0.591986	−	0.158622i	−0.542361	+	0.840146i	$0.682469\pi$
$762$	−4.46345	+	4.46345i	−0.161694	+	0.161694i
$763$	44.7120	+	27.5208i	1.61868	+	0.996320i
$764$	−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	0.727617	−	0.685984i	$-0.240628\pi$
$769$	47.1631	−	12.6373i	1.70074	−	0.455713i	0.973127	+	0.230271i	$0.0739613\pi$
$770$	10.4217	+	0.293442i	0.375571	+	0.0105749i
$771$	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	−0.994673	−	0.103083i	$-0.967129\pi$
$773$	−2.27204	+	8.47936i	−0.0817195	+	0.304981i	0.912953	+	0.408064i	$0.133796\pi$
$774$	−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
$777$	−0.449517	+	15.9648i	−0.0161263	+	0.572733i
$778$	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
$784$	1.72872	−	30.6737i	0.0617400	−	1.09549i
$785$	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	−0.147097	−	0.989122i	$-0.546993\pi$
$787$	−21.5745	−	5.78087i	−0.769047	−	0.206066i	−0.621951	+	0.783056i	$0.713660\pi$
$788$	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
$791$	−21.5467	+	20.3666i	−0.766113	+	0.724152i
$792$			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	$-0.998906\pi$
$797$	−14.1995	−	24.5943i	−0.502973	−	0.871175i	0.497021	−	0.867739i	$-0.334427\pi$
$798$	−1.69588	+	5.68408i	−0.0600336	+	0.201214i
$799$	−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	0.985612	−	0.169023i	$-0.0540614\pi$
$811$	23.2549	+	23.2549i	0.816589	+	0.816589i	−0.169023	+	0.985612i	$0.554061\pi$
$812$	−1.85934	+	0.442517i	−0.0652500	+	0.0155293i
$813$	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
$819$	−5.26298	+	7.95619i	−0.183903	+	0.278012i
$820$	−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
$826$	−3.84102	+	0.914151i	−0.133646	+	0.0318074i
$827$	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	−0.849904	−	0.526938i	$-0.823340\pi$
$829$	0.903774	−	1.56538i	0.0313894	−	0.0543680i	0.881293	+	0.472570i	$0.156673\pi$
$830$	−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	−0.0512985	−	0.998683i	$-0.516336\pi$
$839$	−17.2364	−	4.61847i	−0.595066	−	0.159447i	−0.543767	+	0.839236i	$0.683003\pi$
$840$	10.2002	+	3.04331i	0.351942	+	0.105004i
$841$	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
$847$	14.4570	+	15.2947i	0.496747	+	0.525531i
$848$	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	−0.425726	−	0.904852i	$-0.639981\pi$
$853$	13.9934	−	13.9934i	0.479126	−	0.479126i	0.904852	+	0.425726i	$0.139981\pi$
$854$	0.0727645	−	0.118218i	0.00248995	−	0.00404532i
$855$	−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	$-0.732507\pi$
$857$	−39.0639			−1.33440			−0.667199	+	0.744879i	$0.732507\pi$
$858$	−2.12855	−	9.12640i	−0.0726675	−	0.311570i
$859$			28.2404i			0.963549i	0.876295	+	0.481775i	$0.160008\pi$
$859$			28.2404i			0.963549i	−0.876295	+	0.481775i	$0.839992\pi$
$860$	−1.21446	+	0.325414i	−0.0414128	+	0.0110965i
$861$	0.238995	−	8.48799i	0.00814493	−	0.289270i
$862$	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
$868$	0.0304308	−	1.08076i	0.00103289	−	0.0366835i
$869$	−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
$875$	−26.3082	−	16.1930i	−0.889379	−	0.547424i
$876$	−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	−0.793274	−	0.608865i	$-0.791625\pi$
$881$	3.87806	−	6.71699i	0.130655	−	0.226301i	0.923929	+	0.382563i	$0.124959\pi$
$882$	3.26076	−	9.90269i	0.109795	−	0.333441i
$883$		−	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	0.0951001	−	0.995468i	$-0.469683\pi$
$887$	−21.4271	−	12.3709i	−0.719450	−	0.415375i	−0.814550	+	0.580093i	$0.803016\pi$
$888$	−8.00945	−	13.8728i	−0.268780	−	0.465540i
$889$	3.20586	−	10.7451i	0.107521	−	0.360378i
$890$	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
$903$	−2.32728	−	9.77861i	−0.0774469	−	0.325412i
$904$	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
$910$	−21.5009	−	1.30919i	−0.712748	−	0.0433991i
$911$	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
$917$	18.7239	−	4.45623i	0.618318	−	0.147158i
$918$	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	−0.974622	−	0.223859i	$-0.928134\pi$
$929$	−0.568291	+	2.12089i	−0.0186450	+	0.0695842i	0.955977	+	0.293443i	$0.0948012\pi$
$930$	4.08338	+	1.09414i	0.133899	+	0.0358782i
$931$	−2.15016	−	10.3153i	−0.0704685	−	0.338071i
$932$	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	$0.165227\pi$
$937$			30.3704i			0.992157i	−0.868278	+	0.496079i	$0.834773\pi$
$938$	−13.1969	−	13.9616i	−0.430893	−	0.455861i
$939$	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	0.991536	−	0.129829i	$-0.0414429\pi$
$941$	26.4335	+	26.4335i	0.861707	+	0.861707i	−0.129829	+	0.991536i	$0.541443\pi$
$942$	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
$945$	3.41602	+	2.10261i	0.111123	+	0.0683978i
$946$	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
$952$	−20.1433	−	0.567171i	−0.652848	−	0.0183821i
$953$	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
$959$	55.0651	+	1.55046i	1.77815	+	0.0500669i
$960$	−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
$966$	−12.4446	−	7.65982i	−0.400399	−	0.246451i
$967$	−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	−0.0786584	−	0.996902i	$-0.525064\pi$
$971$	23.2259	−	13.4095i	0.745355	−	0.430331i	0.824013	+	0.566571i	$0.191730\pi$
$972$	0.109141	−	0.189037i	0.00350069	−	0.00606337i
$973$	34.1000	+	36.0759i	1.09320	+	1.15654i
$974$		−	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
$980$	2.26783	−	0.472714i	0.0724432	−	0.0151003i
$981$	−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	−0.959543	−	0.281561i	$-0.909148\pi$
$983$	−21.2566	+	21.2566i	−0.677982	+	0.677982i	0.281561	+	0.959543i	$0.409148\pi$
$984$	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
$994$	45.2778	−	10.7760i	1.43612	−	0.341793i
$995$	−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	−0.569578	−	0.821938i	$-0.692893\pi$
$997$	−4.50099	+	2.59865i	−0.142548	+	0.0822999i	0.427030	+	0.904237i	$0.359560\pi$
$998$	−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.c.97.7	yes	32
3.2	odd	2		819.2.fm.f.370.2		32
7.6	odd	2		273.2.by.d.97.7	yes	32
13.11	odd	12		273.2.by.d.76.7	yes	32
21.20	even	2		819.2.fm.e.370.2		32
39.11	even	12		819.2.fm.e.622.2		32
91.76	even	12	inner	273.2.by.c.76.7	✓	32
273.167	odd	12		819.2.fm.f.622.2		32

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

\(f(q)\)	\(=\)	\(q+(0.385482 + 1.43864i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-0.189037 + 0.109141i) q^{4} +(1.07205 + 1.07205i) q^{5} +(-0.385482 + 1.43864i) q^{6} +(-0.612570 - 2.57386i) q^{7} +(1.87643 + 1.87643i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(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} +(-0.612570 - 2.57386i) 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} +(0.756429 - 2.53531i) 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} +(0.396712 + 0.419699i) 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} +(2.10261 - 3.41602i) 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} +(3.93899 + 0.110910i) 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} +(-6.24951 + 3.15334i) 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} +(3.68022 - 5.97912i) 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} +(1.92274 - 1.81743i) 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} +(5.72495 + 1.70808i) 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} +(0.133713 + 0.561826i) 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} +(4.25878 + 8.53597i) 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} +(-6.94560 - 7.77524i) 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	\( 32 q - 2 q^{2} + 6 q^{4} - 2 q^{5} + 2 q^{6} - 2 q^{7} + 2 q^{8} + 16 q^{9} - 2 q^{10} - 4 q^{11} - 32 q^{12} - 6 q^{13} + 34 q^{14} + 4 q^{15} + 14 q^{16} + 8 q^{17} + 2 q^{18} - 2 q^{19} - 44 q^{20} + 2 q^{21} - 4 q^{22} - 18 q^{23} - 4 q^{24} + 28 q^{26} - 18 q^{28} - 18 q^{29} + 14 q^{31} - 8 q^{32} - 4 q^{33} + 66 q^{34} - 20 q^{35} + 6 q^{36} - 24 q^{37} - 24 q^{38} + 8 q^{39} + 16 q^{42} - 6 q^{43} - 20 q^{44} - 4 q^{45} - 58 q^{46} + 28 q^{47} + 60 q^{48} + 10 q^{49} + 70 q^{50} - 28 q^{52} - 80 q^{53} + 4 q^{54} - 60 q^{55} - 120 q^{56} + 16 q^{57} - 4 q^{58} + 42 q^{59} - 58 q^{60} - 36 q^{61} - 52 q^{62} + 2 q^{63} + 14 q^{65} + 26 q^{67} + 72 q^{68} - 2 q^{69} + 68 q^{70} - 4 q^{71} + 4 q^{72} - 12 q^{73} - 18 q^{74} - 16 q^{75} + 48 q^{76} - 28 q^{77} - 14 q^{78} - 4 q^{79} + 98 q^{80} - 16 q^{81} - 20 q^{82} + 36 q^{83} + 32 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} + 54 q^{89} - 4 q^{90} - 54 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} - 22 q^{96} + 40 q^{97} + 4 q^{99}+O(q^{100}) \) 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 + 2 * q^21 - 4 * q^22 - 18 * q^23 - 4 * q^24 + 28 * q^26 - 18 * q^28 - 18 * q^29 + 14 * q^31 - 8 * q^32 - 4 * q^33 + 66 * q^34 - 20 * q^35 + 6 * q^36 - 24 * q^37 - 24 * q^38 + 8 * q^39 + 16 * q^42 - 6 * q^43 - 20 * q^44 - 4 * q^45 - 58 * q^46 + 28 * q^47 + 60 * q^48 + 10 * q^49 + 70 * q^50 - 28 * q^52 - 80 * q^53 + 4 * q^54 - 60 * q^55 - 120 * q^56 + 16 * q^57 - 4 * q^58 + 42 * q^59 - 58 * q^60 - 36 * q^61 - 52 * q^62 + 2 * q^63 + 14 * q^65 + 26 * q^67 + 72 * q^68 - 2 * q^69 + 68 * 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 + 32 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 + 54 * q^89 - 4 * q^90 - 54 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 - 22 * q^96 + 40 * q^97 + 4 * q^99

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