LMFDB - Embedded newform 252.2.bj.b.103.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(103,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 2, 5]))

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

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

chi := DirichletCharacter("252.103");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.bj (of order $6$, degree $2$, 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:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$42$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			103.5
Character	$\chi$	$=$	252.103
Dual form			252.2.bj.b.115.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.33100 - 0.477940i) q^{2} +(1.43852 + 0.964710i) q^{3} +(1.54315 + 1.27228i) q^{4} +(3.01564 - 1.74108i) q^{5} +(-1.45360 - 1.97156i) q^{6} +(1.90425 + 1.83680i) q^{7} +(-1.44586 - 2.43094i) q^{8} +(1.13867 + 2.77551i) q^{9} +O(q^{10})$	\(q+(-1.33100 - 0.477940i) q^{2} +(1.43852 + 0.964710i) q^{3} +(1.54315 + 1.27228i) q^{4} +(3.01564 - 1.74108i) q^{5} +(-1.45360 - 1.97156i) q^{6} +(1.90425 + 1.83680i) q^{7} +(-1.44586 - 2.43094i) q^{8} +(1.13867 + 2.77551i) q^{9} +(-4.84596 + 0.876089i) q^{10} +(-1.71090 - 0.987787i) q^{11} +(0.992462 + 3.31889i) q^{12} +(-5.52258 - 3.18847i) q^{13} +(-1.65669 - 3.35490i) q^{14} +(6.01768 + 0.404641i) q^{15} +(0.762601 + 3.92663i) q^{16} +(1.04054 - 0.600755i) q^{17} +(-0.189049 - 4.23843i) q^{18} +(-2.25453 + 3.90496i) q^{19} +(6.86871 + 1.15000i) q^{20} +(0.967328 + 4.47932i) q^{21} +(1.80511 + 2.13246i) q^{22} +(0.511185 - 0.295133i) q^{23} +(0.265258 - 4.89179i) q^{24} +(3.56271 - 6.17079i) q^{25} +(5.82669 + 6.88333i) q^{26} +(-1.03956 + 5.09110i) q^{27} +(0.601621 + 5.25719i) q^{28} +(-2.00631 - 3.47503i) q^{29} +(-7.81617 - 3.41467i) q^{30} +5.27982 q^{31} +(0.861670 - 5.59084i) q^{32} +(-1.50823 - 3.07147i) q^{33} +(-1.67209 + 0.302292i) q^{34} +(8.94054 + 2.22365i) q^{35} +(-1.77409 + 5.73172i) q^{36} +(0.506783 - 0.877774i) q^{37} +(4.86712 - 4.11999i) q^{38} +(-4.86839 - 9.91436i) q^{39} +(-8.59265 - 4.81348i) q^{40} +(-4.54294 - 2.62287i) q^{41} +(0.853327 - 6.42432i) q^{42} +(-2.66552 + 1.53894i) q^{43} +(-1.38342 - 3.70104i) q^{44} +(8.26619 + 6.38740i) q^{45} +(-0.821445 + 0.148507i) q^{46} -0.349732 q^{47} +(-2.69104 + 6.38422i) q^{48} +(0.252362 + 6.99545i) q^{49} +(-7.69124 + 6.51059i) q^{50} +(2.07639 + 0.139620i) q^{51} +(-4.46553 - 11.9465i) q^{52} +(3.01662 + 5.22494i) q^{53} +(3.81690 - 6.27943i) q^{54} -6.87926 q^{55} +(1.71186 - 7.28488i) q^{56} +(-7.01033 + 3.44239i) q^{57} +(1.00955 + 5.58417i) q^{58} -14.5178 q^{59} +(8.77135 + 8.28060i) q^{60} +3.95573i q^{61} +(-7.02746 - 2.52344i) q^{62} +(-2.92972 + 7.37677i) q^{63} +(-3.81897 + 7.02961i) q^{64} -22.2055 q^{65} +(0.539482 + 4.80898i) q^{66} -4.89052i q^{67} +(2.37003 + 0.396804i) q^{68} +(1.02007 + 0.0685912i) q^{69} +(-10.8371 - 7.23274i) q^{70} +1.47342i q^{71} +(5.10074 - 6.78104i) q^{72} +(9.61590 - 5.55174i) q^{73} +(-1.09405 + 0.926109i) q^{74} +(11.0780 - 5.43981i) q^{75} +(-8.44727 + 3.15753i) q^{76} +(-1.44362 - 5.02357i) q^{77} +(1.74139 + 15.5229i) q^{78} -0.642873i q^{79} +(9.13630 + 10.5135i) q^{80} +(-6.40686 + 6.32077i) q^{81} +(4.79310 + 5.66230i) q^{82} +(-1.00577 - 1.74205i) q^{83} +(-4.20622 + 8.14295i) q^{84} +(2.09192 - 3.62331i) q^{85} +(4.28334 - 0.774375i) q^{86} +(0.466282 - 6.93439i) q^{87} +(0.0724641 + 5.58730i) q^{88} +(-3.27016 - 1.88803i) q^{89} +(-7.94954 - 12.4524i) q^{90} +(-4.65984 - 16.2155i) q^{91} +(1.16432 + 0.194938i) q^{92} +(7.59511 + 5.09349i) q^{93} +(0.465495 + 0.167151i) q^{94} +15.7012i q^{95} +(6.63307 - 7.21127i) q^{96} +(14.8094 - 8.55023i) q^{97} +(3.00751 - 9.43159i) q^{98} +(0.793461 - 5.87337i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9}+O(q^{10}) $ 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9	$ 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9} - 18 q^{10} - 6 q^{12} + 18 q^{13} + 14 q^{14} + 14 q^{16} + 6 q^{17} - 10 q^{18} - 24 q^{20} + 4 q^{21} + 6 q^{22} - 6 q^{24} + 16 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 11 q^{30} - 18 q^{32} - 18 q^{33} - 24 q^{34} - 38 q^{36} + 2 q^{37} + 33 q^{38} + 6 q^{40} + 6 q^{41} - 38 q^{42} - 13 q^{44} - 54 q^{45} + 10 q^{46} + 9 q^{48} - 28 q^{49} - 17 q^{50} - 27 q^{52} - 2 q^{53} - 39 q^{54} + 58 q^{56} + 6 q^{57} - 13 q^{58} - 31 q^{60} - 8 q^{64} - 100 q^{65} + 30 q^{66} - 18 q^{68} - 18 q^{69} - 19 q^{70} + 26 q^{72} + 30 q^{73} - 23 q^{74} - 2 q^{77} + 15 q^{78} + 3 q^{80} - 32 q^{81} - 18 q^{82} + 23 q^{84} - 50 q^{85} - 9 q^{86} + q^{88} - 102 q^{89} - 39 q^{90} + 28 q^{92} - 36 q^{93} + 63 q^{96} + 6 q^{97} + 21 q^{98}+O(q^{100}) $ 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9 - 18 * q^10 - 6 * q^12 + 18 * q^13 + 14 * q^14 + 14 * q^16 + 6 * q^17 - 10 * q^18 - 24 * q^20 + 4 * q^21 + 6 * q^22 - 6 * q^24 + 16 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 11 * q^30 - 18 * q^32 - 18 * q^33 - 24 * q^34 - 38 * q^36 + 2 * q^37 + 33 * q^38 + 6 * q^40 + 6 * q^41 - 38 * q^42 - 13 * q^44 - 54 * q^45 + 10 * q^46 + 9 * q^48 - 28 * q^49 - 17 * q^50 - 27 * q^52 - 2 * q^53 - 39 * q^54 + 58 * q^56 + 6 * q^57 - 13 * q^58 - 31 * q^60 - 8 * q^64 - 100 * q^65 + 30 * q^66 - 18 * q^68 - 18 * q^69 - 19 * q^70 + 26 * q^72 + 30 * q^73 - 23 * q^74 - 2 * q^77 + 15 * q^78 + 3 * q^80 - 32 * q^81 - 18 * q^82 + 23 * q^84 - 50 * q^85 - 9 * q^86 + q^88 - 102 * q^89 - 39 * q^90 + 28 * q^92 - 36 * q^93 + 63 * q^96 + 6 * q^97 + 21 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{6}\right)$	$-1$

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 $

$2$	−1.33100	−	0.477940i	−0.941162	−	0.337955i
$2$	−1.33100	−	0.477940i	−0.941162	−	0.337955i
$3$	1.43852	+	0.964710i	0.830529	+	0.556975i
$3$	1.43852	+	0.964710i	0.830529	+	0.556975i
$4$	1.54315	+	1.27228i	0.771573	+	0.636141i
$5$	3.01564	−	1.74108i	1.34863	−	0.778634i	0.360577	−	0.932729i	$-0.382580\pi$
$5$	3.01564	−	1.74108i	1.34863	−	0.778634i	0.988056	+	0.154096i	$0.0492464\pi$
$6$	−1.45360	−	1.97156i	−0.593430	−	0.804886i
$7$	1.90425	+	1.83680i	0.719740	+	0.694244i
$7$	1.90425	+	1.83680i	0.719740	+	0.694244i
$8$	−1.44586	−	2.43094i	−0.511189	−	0.859468i
$9$	1.13867	+	2.77551i	0.379557	+	0.925168i
$10$	−4.84596	+	0.876089i	−1.53243	+	0.277044i
$11$	−1.71090	−	0.987787i	−0.515855	−	0.297829i	0.219382	−	0.975639i	$-0.429596\pi$
$11$	−1.71090	−	0.987787i	−0.515855	−	0.297829i	−0.735237	+	0.677810i	$0.762929\pi$
$12$	0.992462	+	3.31889i	0.286499	+	0.958080i
$13$	−5.52258	−	3.18847i	−1.53169	−	0.884321i	−0.999284	−	0.0378315i	$-0.987955\pi$
$13$	−5.52258	−	3.18847i	−1.53169	−	0.884321i	−0.532405	−	0.846490i	$-0.678712\pi$
$14$	−1.65669	−	3.35490i	−0.442769	−	0.896636i
$15$	6.01768	+	0.404641i	1.55376	+	0.104478i
$16$	0.762601	+	3.92663i	0.190650	+	0.981658i
$17$	1.04054	−	0.600755i	0.252367	−	0.145704i	−0.368480	−	0.929636i	$-0.620122\pi$
$17$	1.04054	−	0.600755i	0.252367	−	0.145704i	0.620848	+	0.783931i	$0.286788\pi$
$18$	−0.189049	−	4.23843i	−0.0445593	−	0.999007i
$19$	−2.25453	+	3.90496i	−0.517224	+	0.895858i	0.482576	+	0.875854i	$0.339701\pi$
$19$	−2.25453	+	3.90496i	−0.517224	+	0.895858i	−0.999800	+	0.0200042i	$0.993632\pi$
$20$	6.86871	+	1.15000i	1.53589	+	0.257147i
$21$	0.967328	+	4.47932i	0.211088	+	0.977467i
$22$	1.80511	+	2.13246i	0.384851	+	0.454641i
$23$	0.511185	−	0.295133i	0.106589	−	0.0615394i	−0.445758	−	0.895154i	$-0.647066\pi$
$23$	0.511185	−	0.295133i	0.106589	−	0.0615394i	0.552347	+	0.833614i	$0.313732\pi$
$24$	0.265258	−	4.89179i	0.0541457	−	0.998533i
$25$	3.56271	−	6.17079i	0.712541	−	1.23416i
$26$	5.82669	+	6.88333i	1.14271	+	1.34993i
$27$	−1.03956	+	5.09110i	−0.200063	+	0.979783i
$28$	0.601621	+	5.25719i	0.113696	+	0.993516i
$29$	−2.00631	−	3.47503i	−0.372562	−	0.645296i	0.617397	−	0.786652i	$-0.288187\pi$
$29$	−2.00631	−	3.47503i	−0.372562	−	0.645296i	−0.989959	+	0.141356i	$0.954854\pi$
$30$	−7.81617	−	3.41467i	−1.42703	−	0.623431i
$31$	5.27982			0.948283			0.474142	−	0.880449i	$-0.342759\pi$
$31$	5.27982			0.948283			0.474142	+	0.880449i	$0.342759\pi$
$32$	0.861670	−	5.59084i	0.152323	−	0.988331i
$33$	−1.50823	−	3.07147i	−0.262549	−	0.534674i
$34$	−1.67209	+	0.302292i	−0.286760	+	0.0518427i
$35$	8.94054	+	2.22365i	1.51123	+	0.375866i
$36$	−1.77409	+	5.73172i	−0.295682	+	0.955287i
$37$	0.506783	−	0.877774i	0.0833146	−	0.144305i	−0.821357	−	0.570414i	$-0.806783\pi$
$37$	0.506783	−	0.877774i	0.0833146	−	0.144305i	0.904672	+	0.426109i	$0.140116\pi$
$38$	4.86712	−	4.11999i	0.789551	−	0.668350i
$39$	−4.86839	−	9.91436i	−0.779567	−	1.58757i
$40$	−8.59265	−	4.81348i	−1.35862	−	0.761079i
$41$	−4.54294	−	2.62287i	−0.709488	−	0.409623i	0.101384	−	0.994847i	$-0.467673\pi$
$41$	−4.54294	−	2.62287i	−0.709488	−	0.409623i	−0.810871	+	0.585225i	$0.801006\pi$
$42$	0.853327	−	6.42432i	0.131671	−	0.991293i
$43$	−2.66552	+	1.53894i	−0.406488	+	0.234686i	−0.689280	−	0.724495i	$-0.742073\pi$
$43$	−2.66552	+	1.53894i	−0.406488	+	0.234686i	0.282792	+	0.959181i	$0.408739\pi$
$44$	−1.38342	−	3.70104i	−0.208559	−	0.557953i
$45$	8.26619	+	6.38740i	1.23225	+	0.952177i
$46$	−0.821445	+	0.148507i	−0.121115	+	0.0218962i
$47$	−0.349732			−0.0510136			−0.0255068	−	0.999675i	$-0.508120\pi$
$47$	−0.349732			−0.0510136			−0.0255068	+	0.999675i	$0.508120\pi$
$48$	−2.69104	+	6.38422i	−0.388419	+	0.921483i
$49$	0.252362	+	6.99545i	0.0360517	+	0.999350i
$50$	−7.69124	+	6.51059i	−1.08771	+	0.920736i
$51$	2.07639	+	0.139620i	0.290752	+	0.0195507i
$52$	−4.46553	−	11.9465i	−0.619258	−	1.65669i
$53$	3.01662	+	5.22494i	0.414364	+	0.717700i	0.995361	−	0.0962054i	$-0.0306706\pi$
$53$	3.01662	+	5.22494i	0.414364	+	0.717700i	−0.580997	+	0.813906i	$0.697337\pi$
$54$	3.81690	−	6.27943i	0.519414	−	0.854522i
$55$	−6.87926			−0.927599
$56$	1.71186	−	7.28488i	0.228757	−	0.973483i
$57$	−7.01033	+	3.44239i	−0.928541	+	0.455955i
$58$	1.00955	+	5.58417i	0.132560	+	0.733238i
$59$	−14.5178			−1.89005			−0.945025	−	0.326998i	$-0.893963\pi$
$59$	−14.5178			−1.89005			−0.945025	+	0.326998i	$0.893963\pi$
$60$	8.77135	+	8.28060i	1.13238	+	1.06902i
$61$			3.95573i			0.506480i	0.967403	+	0.253240i	$0.0814962\pi$
$61$			3.95573i			0.506480i	−0.967403	+	0.253240i	$0.918504\pi$
$62$	−7.02746	−	2.52344i	−0.892488	−	0.320477i
$63$	−2.92972	+	7.37677i	−0.369110	+	0.929386i
$64$	−3.81897	+	7.02961i	−0.477372	+	0.878701i
$65$	−22.2055			−2.75425
$66$	0.539482	+	4.80898i	0.0664056	+	0.591945i
$67$		−	4.89052i		−	0.597472i	−0.954336	−	0.298736i	$-0.903435\pi$
$67$		−	4.89052i		−	0.597472i	0.954336	−	0.298736i	$-0.0965650\pi$
$68$	2.37003	+	0.396804i	0.287408	+	0.0481196i
$69$	1.02007	+	0.0685912i	0.122801	+	0.00825741i
$70$	−10.8371	−	7.23274i	−1.29528	−	0.864477i
$71$			1.47342i			0.174863i	0.996171	+	0.0874313i	$0.0278658\pi$
$71$			1.47342i			0.174863i	−0.996171	+	0.0874313i	$0.972134\pi$
$72$	5.10074	−	6.78104i	0.601128	−	0.799153i
$73$	9.61590	−	5.55174i	1.12546	−	0.649783i	0.182668	−	0.983175i	$-0.441527\pi$
$73$	9.61590	−	5.55174i	1.12546	−	0.649783i	0.942788	+	0.333392i	$0.108193\pi$
$74$	−1.09405	+	0.926109i	−0.127181	+	0.107658i
$75$	11.0780	−	5.43981i	1.27918	−	0.628136i
$76$	−8.44727	+	3.15753i	−0.968968	+	0.362193i
$77$	−1.44362	−	5.02357i	−0.164516	−	0.572489i
$78$	1.74139	+	15.5229i	0.197173	+	1.75762i
$79$		−	0.642873i		−	0.0723288i	−0.999346	−	0.0361644i	$-0.988486\pi$
$79$		−	0.642873i		−	0.0723288i	0.999346	−	0.0361644i	$-0.0115140\pi$
$80$	9.13630	+	10.5135i	1.02147	+	1.17545i
$81$	−6.40686	+	6.32077i	−0.711873	+	0.702308i
$82$	4.79310	+	5.66230i	0.529309	+	0.625296i
$83$	−1.00577	−	1.74205i	−0.110398	−	0.191215i	0.805533	−	0.592551i	$-0.201879\pi$
$83$	−1.00577	−	1.74205i	−0.110398	−	0.191215i	−0.915931	+	0.401336i	$0.868546\pi$
$84$	−4.20622	+	8.14295i	−0.458936	+	0.888469i
$85$	2.09192	−	3.62331i	0.226901	−	0.393004i
$86$	4.28334	−	0.774375i	0.461884	−	0.0835030i
$87$	0.466282	−	6.93439i	0.0499907	−	0.743445i
$88$	0.0724641	+	5.58730i	0.00772470	+	0.595608i
$89$	−3.27016	−	1.88803i	−0.346636	−	0.200130i	0.316567	−	0.948570i	$-0.397470\pi$
$89$	−3.27016	−	1.88803i	−0.346636	−	0.200130i	−0.663203	+	0.748440i	$0.730803\pi$
$90$	−7.94954	−	12.4524i	−0.837955	−	1.31260i
$91$	−4.65984	−	16.2155i	−0.488484	−	1.69985i
$92$	1.16432	+	0.194938i	0.121389	+	0.0203237i
$93$	7.59511	+	5.09349i	0.787577	+	0.528170i
$94$	0.465495	+	0.167151i	0.0480121	+	0.0172403i
$95$			15.7012i			1.61091i
$96$	6.63307	−	7.21127i	0.676985	−	0.735997i
$97$	14.8094	−	8.55023i	1.50367	−	0.868145i	0.503679	−	0.863891i	$-0.331979\pi$
$97$	14.8094	−	8.55023i	1.50367	−	0.868145i	0.999991	−	0.00425389i	$-0.00135406\pi$
$98$	3.00751	−	9.43159i	0.303805	−	0.952734i
$99$	0.793461	−	5.87337i	0.0797458	−	0.590296i
$100$	13.3488	−	4.98966i	1.33488	−	0.498966i
$101$	4.30340	+	2.48457i	0.428204	+	0.247224i	0.698581	−	0.715531i	$-0.253815\pi$
$101$	4.30340	+	2.48457i	0.428204	+	0.247224i	−0.270377	+	0.962754i	$0.587148\pi$
$102$	−2.69695	−	1.17822i	−0.267038	−	0.116662i
$103$	−7.58895	−	13.1444i	−0.747761	−	1.29516i	−0.948894	−	0.315596i	$-0.897796\pi$
$103$	−7.58895	−	13.1444i	−0.747761	−	1.29516i	0.201133	−	0.979564i	$-0.435538\pi$
$104$	0.233906	+	18.0352i	0.0229364	+	1.76849i
$105$	10.7159	+	11.8238i	1.04577	+	1.15388i
$106$	−1.51793	−	8.39618i	−0.147434	−	0.815509i
$107$	−9.66900	−	5.58240i	−0.934737	−	0.539671i	−0.0464307	−	0.998922i	$-0.514785\pi$
$107$	−9.66900	−	5.58240i	−0.934737	−	0.539671i	−0.888307	+	0.459251i	$0.848118\pi$
$108$	−8.08151	+	6.53370i	−0.777643	+	0.628706i
$109$	2.33905	+	4.05136i	0.224041	+	0.388050i	0.956031	−	0.293265i	$-0.0947419\pi$
$109$	2.33905	+	4.05136i	0.224041	+	0.388050i	−0.731991	+	0.681315i	$0.761409\pi$
$110$	9.15632	+	3.28787i	0.873021	+	0.313486i
$111$	1.57581	−	0.773795i	0.149570	−	0.0734454i
$112$	−5.76024	+	8.87805i	−0.544291	+	0.838896i
$113$	−5.62554	+	9.74373i	−0.529207	+	0.916613i	0.470213	+	0.882553i	$0.344177\pi$
$113$	−5.62554	+	9.74373i	−0.529207	+	0.916613i	−0.999420	+	0.0340600i	$0.989156\pi$
$114$	10.9760	−	1.23131i	1.02800	−	0.115323i
$115$	1.02770	−	1.78002i	0.0958333	−	0.165988i
$116$	1.32518	−	7.91506i	0.123040	−	0.734895i
$117$	2.56120	−	18.9586i	0.236783	−	1.75272i
$118$	19.3232	+	6.93862i	1.77884	+	0.638751i
$119$	3.08491	+	0.767266i	0.282793	+	0.0703352i
$120$	−7.71707	−	15.2137i	−0.704469	−	1.38881i
$121$	−3.54855	−	6.14627i	−0.322596	−	0.558752i
$122$	1.89060	−	5.26510i	0.171167	−	0.476680i
$123$	−4.00479	−	8.15566i	−0.361100	−	0.735371i
$124$	8.14753	+	6.71741i	0.731670	+	0.603241i
$125$		−	7.40101i		−	0.661967i
$126$	7.42513	−	8.41828i	0.661483	−	0.749960i
$127$			10.7073i			0.950115i	0.879955	+	0.475058i	$0.157573\pi$
$127$			10.7073i			0.950115i	−0.879955	+	0.475058i	$0.842427\pi$
$128$	8.44281	−	7.53120i	0.746246	−	0.665671i
$129$	−5.31903	−	0.357662i	−0.468314	−	0.0314904i
$130$	29.5556	+	10.6129i	2.59220	+	0.930812i
$131$	−2.83803	−	4.91562i	−0.247960	−	0.429479i	0.715000	−	0.699125i	$-0.246427\pi$
$131$	−2.83803	−	4.91562i	−0.247960	−	0.429479i	−0.962960	+	0.269645i	$0.913093\pi$
$132$	1.58035	−	6.65862i	0.137552	−	0.579558i
$133$	−11.4658	+	3.29492i	−0.994211	+	0.285706i
$134$	−2.33738	+	6.50931i	−0.201919	+	0.562318i
$135$	5.72907	+	17.1629i	0.493080	+	1.47714i
$136$	−2.96487	−	1.66088i	−0.254236	−	0.142419i
$137$	3.89502	−	6.74638i	0.332774	−	0.576382i	−0.650281	−	0.759694i	$-0.725349\pi$
$137$	3.89502	−	6.74638i	0.332774	−	0.576382i	0.983055	+	0.183312i	$0.0586820\pi$
$138$	−1.32493	−	0.578826i	−0.112786	−	0.0492729i
$139$	−6.87438	+	11.9068i	−0.583078	+	1.00992i	0.412035	+	0.911168i	$0.364818\pi$
$139$	−6.87438	+	11.9068i	−0.583078	+	1.00992i	−0.995112	+	0.0987517i	$0.968515\pi$
$140$	10.9674	+	14.8063i	0.926919	+	1.25136i
$141$	−0.503096	−	0.337390i	−0.0423683	−	0.0284133i
$142$	0.704206	−	1.96113i	0.0590956	−	0.164574i
$143$	6.29905	+	10.9103i	0.526753	+	0.912363i
$144$	−10.0300	+	6.58774i	−0.835836	+	0.548978i
$145$	−12.1006	−	6.98628i	−1.00490	−	0.580179i
$146$	−15.4522	+	2.79357i	−1.27883	+	0.231198i
$147$	−6.38555	+	10.3065i	−0.526671	+	0.850069i
$148$	1.89882	−	0.709763i	0.156082	−	0.0583422i
$149$	10.2449	+	17.7446i	0.839293	+	1.45370i	0.890487	+	0.455009i	$0.150364\pi$
$149$	10.2449	+	17.7446i	0.839293	+	1.45370i	−0.0511938	+	0.998689i	$0.516303\pi$
$150$	−17.3448	+	1.94578i	−1.41620	+	0.158872i
$151$	19.0698	+	11.0100i	1.55188	+	0.895977i	0.997989	+	0.0633864i	$0.0201900\pi$
$151$	19.0698	+	11.0100i	1.55188	+	0.895977i	0.553889	+	0.832591i	$0.313143\pi$
$152$	12.7525	−	0.165392i	1.03436	−	0.0134151i
$153$	2.85223	+	2.20396i	0.230589	+	0.178179i
$154$	−0.479501	+	7.37635i	−0.0386393	+	0.594403i
$155$	15.9220	−	9.19257i	1.27889	−	0.738365i
$156$	5.10120	−	21.4933i	0.408423	−	1.72084i
$157$		−	11.2251i		−	0.895862i	−0.894068	−	0.447931i	$-0.852161\pi$
$157$		−	11.2251i		−	0.895862i	0.894068	−	0.447931i	$-0.147839\pi$
$158$	−0.307255	+	0.855666i	−0.0244439	+	0.0680732i
$159$	−0.701086	+	10.4263i	−0.0555998	+	0.826862i
$160$	−7.13561	−	18.3602i	−0.564120	−	1.45150i
$161$	1.51552	+	0.376935i	0.119440	+	0.0297066i
$162$	11.5485	−	5.35088i	0.907337	−	0.420405i
$163$	−7.50110	−	4.33076i	−0.587531	−	0.339211i	0.176589	−	0.984285i	$-0.443494\pi$
$163$	−7.50110	−	4.33076i	−0.587531	−	0.339211i	−0.764121	+	0.645073i	$0.776827\pi$
$164$	−3.67339	−	9.82736i	−0.286844	−	0.767388i
$165$	−9.89594	−	6.63649i	−0.770398	−	0.516650i
$166$	0.506093	+	2.79938i	0.0392804	+	0.217274i
$167$	12.3381	−	21.3703i	0.954754	−	1.65368i	0.219824	−	0.975540i	$-0.429452\pi$
$167$	12.3381	−	21.3703i	0.954754	−	1.65368i	0.734930	−	0.678143i	$-0.237215\pi$
$168$	9.49034	−	8.82799i	0.732196	−	0.681094i
$169$	13.8326	+	23.9588i	1.06405	+	1.84299i
$170$	−4.51609	+	3.82284i	−0.346368	+	0.293198i
$171$	−13.4054	−	1.81100i	−1.02514	−	0.138490i
$172$	−6.07125	−	1.01648i	−0.462928	−	0.0775061i
$173$		−	0.722950i		−	0.0549649i	−0.999622	−	0.0274824i	$-0.991251\pi$
$173$		−	0.722950i		−	0.0549649i	0.999622	−	0.0274824i	$-0.00874903\pi$
$174$	−3.93485	+	9.00685i	−0.298300	+	0.682808i
$175$	18.1188	−	5.20678i	1.36965	−	0.393596i
$176$	2.57394	−	7.47135i	0.194018	−	0.563174i
$177$	−20.8841	−	14.0054i	−1.56974	−	1.05271i
$178$	3.45023	+	4.07591i	0.258606	+	0.305503i
$179$	−10.2904	+	5.94116i	−0.769139	+	0.444063i	−0.832568	−	0.553924i	$-0.813130\pi$
$179$	−10.2904	+	5.94116i	−0.769139	+	0.444063i	0.0634282	+	0.997986i	$0.479797\pi$
$180$	4.62936	+	20.3736i	0.345052	+	1.51856i
$181$			5.23327i			0.388986i	0.980904	+	0.194493i	$0.0623062\pi$
$181$			5.23327i			0.388986i	−0.980904	+	0.194493i	$0.937694\pi$
$182$	−1.54777	+	23.8100i	−0.114729	+	1.76492i
$183$	−3.81614	+	5.69040i	−0.282097	+	0.420646i
$184$	−1.45655	−	0.815941i	−0.107378	−	0.0601519i
$185$		−	3.52939i		−	0.259486i
$186$	−7.67475	−	10.4095i	−0.562740	−	0.763259i
$187$	−2.37367			−0.173580
$188$	−0.539687	−	0.444957i	−0.0393607	−	0.0324518i
$189$	−11.3309	+	7.78529i	−0.824202	+	0.566296i
$190$	7.50425	−	20.8984i	0.544416	−	1.51613i
$191$			15.8714i			1.14841i	0.818711	+	0.574207i	$0.194689\pi$
$191$			15.8714i			1.14841i	−0.818711	+	0.574207i	$0.805311\pi$
$192$	−12.2752	+	6.42802i	−0.885886	+	0.463903i
$193$	−0.885657			−0.0637510			−0.0318755	−	0.999492i	$-0.510148\pi$
$193$	−0.885657			−0.0637510			−0.0318755	+	0.999492i	$0.510148\pi$
$194$	−23.7979	+	4.30237i	−1.70859	+	0.308892i
$195$	−31.9430	−	21.4218i	−2.28748	−	1.53405i
$196$	−8.51075	+	11.1161i	−0.607911	+	0.794006i
$197$	−2.17147			−0.154711			−0.0773553	−	0.997004i	$-0.524648\pi$
$197$	−2.17147			−0.154711			−0.0773553	+	0.997004i	$0.524648\pi$
$198$	−3.86322	+	7.43825i	−0.274547	+	0.528614i
$199$	−6.48062	−	11.2248i	−0.459399	−	0.795702i	0.539530	−	0.841966i	$-0.318602\pi$
$199$	−6.48062	−	11.2248i	−0.459399	−	0.795702i	−0.998929	+	0.0462638i	$0.985269\pi$
$200$	−20.1520	+	0.261360i	−1.42496	+	0.0184810i
$201$	4.71793	−	7.03510i	0.332777	−	0.496218i
$202$	−4.54037	−	5.36374i	−0.319459	−	0.377391i
$203$	2.56240	−	10.3025i	0.179845	−	0.723094i
$204$	3.02653	+	2.85720i	0.211900	+	0.200044i
$205$	−18.2665			−1.27578
$206$	3.81867	+	21.1224i	0.266059	+	1.47167i
$207$	1.40121	+	1.08274i	0.0973910	+	0.0752554i
$208$	8.30840	−	24.1167i	0.576084	−	1.67219i
$209$	7.71453	−	4.45399i	0.533625	−	0.308089i
$210$	−8.61191	−	20.8591i	−0.594278	−	1.43941i
$211$	−8.89012	−	5.13271i	−0.612021	−	0.353350i	0.161735	−	0.986834i	$-0.448291\pi$
$211$	−8.89012	−	5.13271i	−0.612021	−	0.353350i	−0.773756	+	0.633484i	$0.781624\pi$
$212$	−1.99250	+	11.9008i	−0.136846	+	0.817352i
$213$	−1.42142	+	2.11954i	−0.0973942	+	0.145228i
$214$	10.2014	+	12.0514i	0.697355	+	0.823817i
$215$	−5.35882	+	9.28176i	−0.365469	+	0.633010i
$216$	13.8792	−	4.83391i	0.944363	−	0.328906i
$217$	10.0541	+	9.69795i	0.682517	+	0.658339i
$218$	−1.17698	−	6.51030i	−0.0797153	−	0.440933i
$219$	19.1885	+	1.29027i	1.29664	+	0.0871884i
$220$	−10.6157	−	8.75235i	−0.715710	−	0.590083i
$221$	−7.66194			−0.515398
$222$	−2.46724	+	0.276780i	−0.165590	+	0.0185763i
$223$	9.27475	+	16.0643i	0.621083	+	1.07575i	0.989284	+	0.146001i	$0.0466403\pi$
$223$	9.27475	+	16.0643i	0.621083	+	1.07575i	−0.368201	+	0.929746i	$0.620026\pi$
$224$	11.9101	−	9.06367i	0.795775	−	0.605592i
$225$	21.1838	+	2.86182i	1.41225	+	0.190788i
$226$	12.1445	−	10.2803i	0.807843	−	0.683834i
$227$	3.01460	−	5.22144i	0.200086	−	0.346559i	−0.748470	−	0.663169i	$-0.769211\pi$
$227$	3.01460	−	5.22144i	0.200086	−	0.346559i	0.948556	+	0.316609i	$0.102544\pi$
$228$	−15.1976	−	3.60700i	−1.00649	−	0.238880i
$229$	2.52146	−	1.45576i	0.166622	−	0.0961995i	−0.414370	−	0.910109i	$-0.635998\pi$
$229$	2.52146	−	1.45576i	0.166622	−	0.0961995i	0.580992	+	0.813909i	$0.302665\pi$
$230$	−2.21862	+	1.87804i	−0.146291	+	0.123834i
$231$	2.76961	−	8.61917i	0.182227	−	0.567099i
$232$	−5.54675	+	9.90162i	−0.364162	+	0.650073i
$233$	−4.64505	+	8.04547i	−0.304308	+	0.527076i	−0.977107	−	0.212749i	$-0.931758\pi$
$233$	−4.64505	+	8.04547i	−0.304308	+	0.527076i	0.672799	+	0.739825i	$0.265092\pi$
$234$	−12.4700	+	24.0098i	−0.815192	+	1.56957i
$235$	−1.05466	+	0.608910i	−0.0687987	+	0.0397209i
$236$	−22.4030	−	18.4707i	−1.45831	−	1.20234i
$237$	0.620185	−	0.924784i	0.0402854	−	0.0600712i
$238$	−3.73932	−	2.49564i	−0.242384	−	0.161768i
$239$	4.84551	+	2.79756i	0.313430	+	0.180959i	0.648460	−	0.761248i	$-0.275413\pi$
$239$	4.84551	+	2.79756i	0.313430	+	0.180959i	−0.335030	+	0.942207i	$0.608747\pi$
$240$	3.00022	+	23.9378i	0.193663	+	1.54518i
$241$	1.87673	+	1.08353i	0.120891	+	0.0697963i	0.559226	−	0.829015i	$-0.311098\pi$
$241$	1.87673	+	1.08353i	0.120891	+	0.0697963i	−0.438335	+	0.898812i	$0.644432\pi$
$242$	1.78559	+	9.87672i	0.114782	+	0.634899i
$243$	−15.3141	+	2.91178i	−0.982400	+	0.186791i
$244$	−5.03281	+	6.10428i	−0.322192	+	0.390786i
$245$	12.9407	+	20.6563i	0.826748	+	1.31969i
$246$	1.43248	+	12.7693i	0.0913318	+	0.814139i
$247$	24.9016	−	14.3770i	1.58445	−	0.914784i
$248$	−7.63388	−	12.8349i	−0.484752	−	0.815019i
$249$	0.233750	−	3.47625i	0.0148133	−	0.220298i
$250$	−3.53724	+	9.85078i	−0.223715	+	0.623018i
$251$	14.3444			0.905410			0.452705	−	0.891660i	$-0.350459\pi$
$251$	14.3444			0.905410			0.452705	+	0.891660i	$0.350459\pi$
$252$	−13.9063	+	7.65601i	−0.876015	+	0.482283i
$253$	−1.16611			−0.0733129
$254$	5.11743	−	14.2514i	0.321096	−	0.894213i
$255$	6.50472	−	3.19411i	0.407341	−	0.200023i
$256$	−14.8369	+	5.98891i	−0.927305	+	0.374307i
$257$	−0.941064	+	0.543323i	−0.0587020	+	0.0338916i	−0.529064	−	0.848582i	$-0.677457\pi$
$257$	−0.941064	+	0.543323i	−0.0587020	+	0.0338916i	0.470362	+	0.882474i	$0.344123\pi$
$258$	6.90871	+	3.01823i	0.430117	+	0.187907i
$259$	2.57733	−	0.740647i	0.160148	−	0.0460216i
$260$	−34.2663	−	28.2516i	−2.12510	−	1.75209i
$261$	7.36043	−	9.52542i	0.455599	−	0.589609i
$262$	1.42806	+	7.89912i	0.0882260	+	0.488009i
$263$	−3.12779	−	1.80583i	−0.192868	−	0.111352i	0.400456	−	0.916316i	$-0.368852\pi$
$263$	−3.12779	−	1.80583i	−0.192868	−	0.111352i	−0.593325	+	0.804963i	$0.702185\pi$
$264$	−5.28588	+	8.10734i	−0.325323	+	0.498972i
$265$	18.1940	+	10.5043i	1.11765	+	0.645276i
$266$	16.8358	+	1.09441i	1.03227	+	0.0671028i
$267$	−2.88278	−	5.87071i	−0.176424	−	0.359282i
$268$	6.22212	−	7.54679i	0.380076	−	0.460994i
$269$	18.9812	−	10.9588i	1.15731	−	0.668171i	0.206649	−	0.978415i	$-0.433744\pi$
$269$	18.9812	−	10.9588i	1.15731	−	0.668171i	0.950657	+	0.310244i	$0.100411\pi$
$270$	0.577401	−	25.5820i	0.0351395	−	1.55687i
$271$	−7.49415	+	12.9802i	−0.455237	+	0.788494i	−0.998702	−	0.0509383i	$-0.983779\pi$
$271$	−7.49415	+	12.9802i	−0.455237	+	0.788494i	0.543465	+	0.839432i	$0.317112\pi$
$272$	3.15246	+	3.62767i	0.191146	+	0.219960i
$273$	8.93999	−	27.8217i	0.541073	−	1.68385i
$274$	−8.40866	+	7.11787i	−0.507986	+	0.430006i
$275$	−12.1908	+	7.03839i	−0.735136	+	0.424431i
$276$	1.48684	+	1.40366i	0.0894975	+	0.0844902i
$277$	8.84491	−	15.3198i	0.531439	−	0.920479i	−0.467888	−	0.883788i	$-0.654985\pi$
$277$	8.84491	−	15.3198i	0.531439	−	0.920479i	0.999327	−	0.0366912i	$-0.0116818\pi$
$278$	14.8406	−	12.5624i	0.890078	−	0.753445i
$279$	6.01197	+	14.6542i	0.359927	+	0.877322i
$280$	−7.52120	−	24.9490i	−0.449477	−	1.49099i
$281$	−5.96654	−	10.3343i	−0.355934	−	0.616495i	0.631344	−	0.775503i	$-0.282504\pi$
$281$	−5.96654	−	10.3343i	−0.355934	−	0.616495i	−0.987277	+	0.159008i	$0.949170\pi$
$282$	0.508370	+	0.689517i	0.0302730	+	0.0410601i
$283$	18.1738			1.08032			0.540160	−	0.841563i	$-0.318364\pi$
$283$	18.1738			1.08032			0.540160	+	0.841563i	$0.318364\pi$
$284$	−1.87460	+	2.27370i	−0.111237	+	0.134919i
$285$	−15.1471	+	22.5865i	−0.897239	+	1.33791i
$286$	−3.16961	−	17.5322i	−0.187423	−	1.03670i
$287$	−3.83323	−	13.3391i	−0.226269	−	0.787379i
$288$	16.4986	−	3.97456i	0.972188	−	0.234203i
$289$	−7.77819	+	13.4722i	−0.457540	+	0.792483i
$290$	12.7669	+	15.0821i	0.749699	+	0.885653i
$291$	29.5521	+	1.98714i	1.73238	+	0.116488i
$292$	21.9021	+	3.66698i	1.28172	+	0.214594i
$293$	−11.7151	−	6.76373i	−0.684405	−	0.395141i	0.117108	−	0.993119i	$-0.462638\pi$
$293$	−11.7151	−	6.76373i	−0.684405	−	0.395141i	−0.801513	+	0.597978i	$0.795971\pi$
$294$	13.4251	−	10.6661i	0.782968	−	0.622062i
$295$	−43.7802	+	25.2765i	−2.54898	+	1.47166i
$296$	−2.86656	+	0.0371776i	−0.166615	+	0.00216091i
$297$	6.80750	−	7.68349i	0.395011	−	0.445841i
$298$	−5.15510	−	28.5146i	−0.298627	−	1.65181i
$299$	−3.76408			−0.217682
$300$	24.0160	+	5.69995i	1.38656	+	0.329087i
$301$	−7.90254	−	1.96549i	−0.455495	−	0.113289i
$302$	−20.1199	−	23.7685i	−1.15777	−	1.36772i
$303$	3.79363	+	7.72562i	0.217938	+	0.443826i
$304$	−17.0526	−	5.87478i	−0.978035	−	0.336941i
$305$	6.88724	+	11.9291i	0.394362	+	0.683056i
$306$	−2.74297	−	4.29667i	−0.156805	−	0.245624i
$307$	30.1730			1.72206			0.861031	−	0.508553i	$-0.169819\pi$
$307$	30.1730			1.72206			0.861031	+	0.508553i	$0.169819\pi$
$308$	4.16367	−	9.58879i	0.237247	−	0.546372i
$309$	1.76373	−	26.2296i	0.100335	−	1.49215i
$310$	−25.5858	+	4.62559i	−1.45317	+	0.262716i
$311$	21.2454			1.20471			0.602357	−	0.798227i	$-0.294228\pi$
$311$	21.2454			1.20471			0.602357	+	0.798227i	$0.294228\pi$
$312$	−17.0622	+	26.1696i	−0.965958	+	1.48156i
$313$		−	6.80556i		−	0.384673i	−0.981329	−	0.192336i	$-0.938394\pi$
$313$		−	6.80556i		−	0.384673i	0.981329	−	0.192336i	$-0.0616065\pi$
$314$	−5.36493	+	14.9407i	−0.302761	+	0.843151i
$315$	4.00856	+	27.3465i	0.225857	+	1.54080i
$316$	0.817915	−	0.992046i	0.0460113	−	0.0558070i
$317$	11.7652			0.660799			0.330399	−	0.943841i	$-0.392817\pi$
$317$	11.7652			0.660799			0.330399	+	0.943841i	$0.392817\pi$
$318$	5.91631	−	13.5424i	0.331770	−	0.759421i
$319$			7.92722i			0.443839i
$320$	0.722464	+	27.8479i	0.0403870	+	1.55674i
$321$	−8.52364	−	17.3582i	−0.475743	−	0.968838i
$322$	−1.83702	−	1.22603i	−0.102373	−	0.0683241i
$323$			5.41767i			0.301447i
$324$	−17.9285	+	1.60254i	−0.996029	+	0.0890302i
$325$	−39.3507	+	22.7191i	−2.18278	+	1.26023i
$326$	7.91415	+	9.34934i	0.438324	+	0.517812i
$327$	−0.543615	+	8.08446i	−0.0300620	+	0.447071i
$328$	0.192414	+	14.8359i	0.0106243	+	0.819177i
$329$	−0.665978	−	0.642386i	−0.0367166	−	0.0354159i
$330$	9.99969	+	13.5629i	0.550465	+	0.746611i
$331$			8.33395i			0.458075i	0.973418	+	0.229038i	$0.0735579\pi$
$331$			8.33395i			0.458075i	−0.973418	+	0.229038i	$0.926442\pi$
$332$	0.664323	−	3.96786i	0.0364594	−	0.217765i
$333$	3.01332	+	0.407084i	0.165129	+	0.0223081i
$334$	−26.6358	+	22.5471i	−1.45745	+	1.23372i
$335$	−8.51478	−	14.7480i	−0.465212	−	0.805771i
$336$	−16.8509	+	7.21427i	−0.919294	+	0.393571i
$337$	−8.90728	+	15.4279i	−0.485210	+	0.840409i	−0.999856	−	0.0169941i	$-0.994590\pi$
$337$	−8.90728	+	15.4279i	−0.485210	+	0.840409i	0.514645	+	0.857403i	$0.327924\pi$
$338$	−6.96041	−	38.5004i	−0.378596	−	2.09415i
$339$	−17.4923	+	8.58951i	−0.950052	+	0.466518i
$340$	7.83802	−	2.92979i	0.425076	−	0.158890i
$341$	−9.03322	−	5.21533i	−0.489177	−	0.282426i
$342$	16.9771	+	8.81742i	0.918016	+	0.476791i
$343$	−12.3687	+	13.7846i	−0.667844	+	0.744301i
$344$	7.59504	+	4.25464i	0.409497	+	0.229395i
$345$	3.19557	−	1.56917i	0.172044	−	0.0844812i
$346$	−0.345527	+	0.962250i	−0.0185756	+	0.0517309i
$347$			12.1126i			0.650240i	0.945673	+	0.325120i	$0.105405\pi$
$347$			12.1126i			0.650240i	−0.945673	+	0.325120i	$0.894595\pi$
$348$	9.54204	−	10.1075i	0.511507	−	0.541821i
$349$	−9.68839	+	5.59359i	−0.518607	+	0.299418i	−0.736365	−	0.676585i	$-0.763459\pi$
$349$	−9.68839	+	5.59359i	−0.518607	+	0.299418i	0.217757	+	0.976003i	$0.430126\pi$
$350$	−26.6047	−	1.72944i	−1.42208	−	0.0924425i
$351$	21.9739	−	24.8014i	1.17288	−	1.32380i
$352$	−6.99679	+	8.71421i	−0.372930	+	0.464469i
$353$	26.1262	+	15.0840i	1.39056	+	0.802838i	0.993377	−	0.114903i	$-0.0366558\pi$
$353$	26.1262	+	15.0840i	1.39056	+	0.802838i	0.397179	+	0.917741i	$0.369989\pi$
$354$	21.1030	+	28.6226i	1.12161	+	1.52127i
$355$	2.56534	+	4.44329i	0.136154	+	0.235825i
$356$	−2.64423	−	7.07406i	−0.140144	−	0.374925i
$357$	3.69751	+	4.07977i	0.195693	+	0.215924i
$358$	16.5361	−	2.98952i	0.873958	−	0.158001i
$359$	−24.5853	−	14.1944i	−1.29757	−	0.749150i	−0.317582	−	0.948231i	$-0.602871\pi$
$359$	−24.5853	−	14.1944i	−1.29757	−	0.749150i	−0.979983	+	0.199081i	$0.936204\pi$
$360$	3.57566	−	29.3299i	0.188454	−	1.54582i
$361$	−0.665788	−	1.15318i	−0.0350415	−	0.0606936i
$362$	2.50119	−	6.96551i	0.131460	−	0.366099i
$363$	0.824712	−	12.2649i	0.0432862	−	0.643738i
$364$	13.4399	−	30.9515i	0.704441	−	1.62230i
$365$	19.3320	−	33.4841i	1.01189	−	1.75264i
$366$	7.79896	−	5.75006i	0.407658	−	0.300560i
$367$	17.6316	−	30.5388i	0.920362	−	1.59411i	0.121508	−	0.992590i	$-0.461227\pi$
$367$	17.6316	−	30.5388i	0.920362	−	1.59411i	0.798855	−	0.601524i	$-0.205440\pi$
$368$	1.54871	+	1.78217i	0.0807319	+	0.0929018i
$369$	2.10687	−	15.5955i	0.109679	−	0.811871i
$370$	−1.68684	+	4.69764i	−0.0876946	+	0.244219i
$371$	−3.85274	+	15.4905i	−0.200024	+	0.804227i
$372$	5.24002	+	17.5231i	0.271682	+	0.908532i
$373$	5.70590	+	9.88290i	0.295440	+	0.511717i	0.975087	−	0.221822i	$-0.0712004\pi$
$373$	5.70590	+	9.88290i	0.295440	+	0.511717i	−0.679647	+	0.733539i	$0.737867\pi$
$374$	3.15937	+	1.13447i	0.163367	+	0.0586622i
$375$	7.13983	−	10.6465i	0.368699	−	0.549783i
$376$	0.505663	+	0.850178i	0.0260776	+	0.0438446i
$377$			25.5882i			1.31786i
$378$	18.8024	−	4.94676i	0.967090	−	0.254434i
$379$		−	14.3418i		−	0.736686i	−0.929690	−	0.368343i	$-0.879925\pi$
$379$		−	14.3418i		−	0.736686i	0.929690	−	0.368343i	$-0.120075\pi$
$380$	−19.9764	+	24.2293i	−1.02477	+	1.24294i
$381$	−10.3294	+	15.4026i	−0.529191	+	0.789098i
$382$	7.58557	−	21.1249i	0.388112	−	1.08084i
$383$	9.32214	+	16.1464i	0.476339	+	0.825044i	0.999632	−	0.0271090i	$-0.00863012\pi$
$383$	9.32214	+	16.1464i	0.476339	+	0.825044i	−0.523293	+	0.852153i	$0.675297\pi$
$384$	19.4106	−	2.68891i	0.990541	−	0.137218i
$385$	−13.0998	−	12.6358i	−0.667630	−	0.643980i
$386$	1.17881	+	0.423291i	0.0600001	+	0.0215450i
$387$	−7.30648	−	5.64582i	−0.371409	−	0.286993i
$388$	33.7314	+	5.64751i	1.71245	+	0.286709i
$389$	7.96054	−	13.7881i	0.403615	−	0.699082i	−0.590544	−	0.807006i	$-0.701087\pi$
$389$	7.96054	−	13.7881i	0.403615	−	0.699082i	0.994159	+	0.107923i	$0.0344200\pi$
$390$	32.2779	+	43.7794i	1.63445	+	2.21686i
$391$	0.354605	−	0.614193i	0.0179331	−	0.0310611i
$392$	16.6407	−	10.7279i	0.840480	−	0.541842i
$393$	0.659582	−	9.80908i	0.0332715	−	0.494803i
$394$	2.89023	+	1.03783i	0.145608	+	0.0522852i
$395$	−1.11929	−	1.93867i	−0.0563177	−	0.0975450i
$396$	8.69700	−	8.05396i	0.437041	−	0.404727i
$397$	−4.13873	−	2.38950i	−0.207717	−	0.119925i	0.392533	−	0.919738i	$-0.371599\pi$
$397$	−4.13873	−	2.38950i	−0.207717	−	0.119925i	−0.600250	+	0.799813i	$0.704932\pi$
$398$	3.26097	+	18.0376i	0.163458	+	0.904141i
$399$	−19.6724	−	6.32137i	−0.984852	−	0.316464i
$400$	26.9473	+	9.28358i	1.34737	+	0.464179i
$401$	16.6459	+	28.8315i	0.831256	+	1.43978i	0.897043	+	0.441944i	$0.145711\pi$
$401$	16.6459	+	28.8315i	0.831256	+	1.43978i	−0.0657868	+	0.997834i	$0.520956\pi$
$402$	−9.64195	+	7.10887i	−0.480897	+	0.354558i
$403$	−29.1582	−	16.8345i	−1.45247	−	0.838587i
$404$	3.47970	+	9.30918i	0.173122	+	0.463149i
$405$	−8.31581	+	30.2160i	−0.413216	+	1.50144i
$406$	−8.33454	+	12.4880i	−0.413636	+	0.619770i
$407$	−1.73411	+	1.00119i	−0.0859565	+	0.0496270i
$408$	−2.66276	−	5.24945i	−0.131826	−	0.259887i
$409$		−	9.63902i		−	0.476619i	−0.971189	−	0.238309i	$-0.923407\pi$
$409$		−	9.63902i		−	0.476619i	0.971189	−	0.238309i	$-0.0765932\pi$
$410$	24.3127	+	8.73027i	1.20072	+	0.431158i
$411$	12.1114	−	5.94722i	0.597409	−	0.293355i
$412$	5.01257	−	29.9391i	0.246952	−	1.47499i
$413$	−27.6455	−	26.6661i	−1.36034	−	1.31216i
$414$	−1.34754	−	2.11082i	−0.0662278	−	0.103741i
$415$	−6.06609	−	3.50226i	−0.297773	−	0.171919i
$416$	−22.5849	+	28.1285i	−1.10731	+	1.37911i
$417$	−21.3755	+	10.4963i	−1.04676	+	0.514008i
$418$	−12.3968	+	2.24119i	−0.606348	+	0.109620i
$419$	−5.29413	+	9.16971i	−0.258635	+	0.447970i	−0.965877	−	0.259003i	$-0.916606\pi$
$419$	−5.29413	+	9.16971i	−0.258635	+	0.447970i	0.707241	+	0.706972i	$0.249939\pi$
$420$	1.49309	+	31.8795i	0.0728554	+	1.55556i
$421$	−12.4805	−	21.6168i	−0.608261	−	1.05354i	−0.991527	−	0.129901i	$-0.958534\pi$
$421$	−12.4805	−	21.6168i	−0.608261	−	1.05354i	0.383266	−	0.923638i	$-0.374799\pi$
$422$	9.37966	+	11.0806i	0.456595	+	0.539396i
$423$	−0.398229	−	0.970683i	−0.0193626	−	0.0471962i
$424$	8.33992	−	14.8878i	0.405022	−	0.723013i
$425$		−	8.56125i		−	0.415282i
$426$	2.90493	−	2.14176i	0.140744	−	0.103769i
$427$	−7.26588	+	7.53272i	−0.351620	+	0.364534i
$428$	−7.81830	−	20.9161i	−0.377912	−	1.01102i
$429$	−1.46395	+	21.7714i	−0.0706802	+	1.05113i
$430$	11.5687	−	9.79286i	0.557894	−	0.472254i
$431$	25.0572	−	14.4668i	1.20696	−	0.696841i	0.244870	−	0.969556i	$-0.421255\pi$
$431$	25.0572	−	14.4668i	1.20696	−	0.696841i	0.962095	+	0.272715i	$0.0879215\pi$
$432$	−20.7837	−	0.199489i	−0.999954	−	0.00959790i
$433$		−	11.0967i		−	0.533275i	−0.963797	−	0.266637i	$-0.914087\pi$
$433$		−	11.0967i		−	0.533275i	0.963797	−	0.266637i	$-0.0859126\pi$
$434$	−8.74703	−	17.7133i	−0.419871	−	0.850264i
$435$	−10.6672	−	21.7234i	−0.511452	−	1.04156i
$436$	−1.54497	+	9.22777i	−0.0739904	+	0.441930i
$437$			2.66154i			0.127319i
$438$	−24.9233	−	10.8883i	−1.19088	−	0.520263i
$439$	13.9685			0.666679			0.333339	−	0.942807i	$-0.391825\pi$
$439$	13.9685			0.666679			0.333339	+	0.942807i	$0.391825\pi$
$440$	9.94645	+	16.7231i	0.474178	+	0.797242i
$441$	−19.1286	+	8.66594i	−0.910883	+	0.412664i
$442$	10.1981	+	3.66195i	0.485073	+	0.174181i
$443$			2.06972i			0.0983353i	0.998791	+	0.0491676i	$0.0156569\pi$
$443$			2.06972i			0.0983353i	−0.998791	+	0.0491676i	$0.984343\pi$
$444$	3.41620	+	0.810799i	0.162125	+	0.0384788i
$445$	−13.1488			−0.623313
$446$	−4.66694	−	25.8145i	−0.220986	−	1.22235i
$447$	−2.38099	+	35.4093i	−0.112617	+	1.67480i
$448$	−20.1843	+	6.37148i	−0.953616	+	0.301024i
$449$	15.9634			0.753361			0.376680	−	0.926343i	$-0.377066\pi$
$449$	15.9634			0.753361			0.376680	+	0.926343i	$0.377066\pi$
$450$	−26.8280	−	13.9337i	−1.26468	−	0.656840i
$451$	5.18167	+	8.97491i	0.243995	+	0.422612i
$452$	−21.0778	+	7.87873i	−0.991416	+	0.370584i
$453$	16.8108	+	34.2348i	0.789842	+	1.60849i
$454$	−6.50799	+	5.50897i	−0.305435	+	0.258549i
$455$	−42.2848	−	40.7869i	−1.98234	−	1.91212i
$456$	18.5042	+	12.0645i	0.866539	+	0.564972i
$457$	13.0855			0.612112			0.306056	−	0.952014i	$-0.400991\pi$
$457$	13.0855			0.612112			0.306056	+	0.952014i	$0.400991\pi$
$458$	−4.05184	+	0.732522i	−0.189330	+	0.0342285i
$459$	1.97680	+	5.92200i	0.0922692	+	0.276415i
$460$	3.85058	−	1.43932i	0.179534	−	0.0671086i
$461$	−4.13795	+	2.38905i	−0.192724	+	0.111269i	−0.593257	−	0.805013i	$-0.702158\pi$
$461$	−4.13795	+	2.38905i	−0.192724	+	0.111269i	0.400533	+	0.916282i	$0.368825\pi$
$462$	−7.80581	+	10.1484i	−0.363159	+	0.472148i
$463$	−14.5389	−	8.39406i	−0.675681	−	0.390105i	0.122545	−	0.992463i	$-0.460895\pi$
$463$	−14.5389	−	8.39406i	−0.675681	−	0.390105i	−0.798226	+	0.602358i	$0.794228\pi$
$464$	12.1151	−	10.5281i	0.562431	−	0.488754i
$465$	31.7723	+	2.13643i	1.47340	+	0.0990745i
$466$	10.0278	−	8.48850i	0.464531	−	0.393222i
$467$	17.1928	−	29.7788i	0.795587	−	1.37800i	−0.126879	−	0.991918i	$-0.540496\pi$
$467$	17.1928	−	29.7788i	0.795587	−	1.37800i	0.922466	−	0.386079i	$-0.126171\pi$
$468$	28.0729	−	25.9973i	1.29767	−	1.20172i
$469$	8.98289	−	9.31279i	0.414791	−	0.430025i
$470$	1.69478	−	0.306396i	0.0781746	−	0.0141330i
$471$	10.8290	−	16.1475i	0.498973	−	0.744039i
$472$	20.9906	+	35.2918i	0.966173	+	1.62444i
$473$	6.08057			0.279585
$474$	−1.26746	+	0.934480i	−0.0582164	+	0.0429221i
$475$	16.0644	+	27.8244i	0.737087	+	1.27667i
$476$	3.78429	+	5.10888i	0.173453	+	0.234165i
$477$	−11.0669	+	14.3221i	−0.506719	+	0.655765i
$478$	−5.11234	−	6.03943i	−0.233833	−	0.276237i
$479$	−5.14465	+	8.91079i	−0.235065	+	0.407144i	−0.959292	−	0.282418i	$-0.908864\pi$
$479$	−5.14465	+	8.91079i	−0.235065	+	0.407144i	0.724227	+	0.689562i	$0.242197\pi$
$480$	7.44754	−	33.2952i	0.339932	−	1.51971i
$481$	−5.59750	+	3.23172i	−0.255224	+	0.147354i
$482$	−1.98007	−	2.33915i	−0.0901899	−	0.106545i
$483$	1.81648	+	2.00427i	0.0826525	+	0.0911973i
$484$	2.34385	−	13.9994i	0.106539	−	0.636334i
$485$	29.7732	−	51.5688i	1.35193	−	2.34162i
$486$	21.7748	+	3.44363i	0.987724	+	0.156206i
$487$	−23.9091	+	13.8039i	−1.08343	+	0.625516i	−0.931818	−	0.362925i	$-0.881778\pi$
$487$	−23.9091	+	13.8039i	−1.08343	+	0.625516i	−0.151607	+	0.988441i	$0.548445\pi$
$488$	9.61617	−	5.71944i	0.435304	−	0.258907i
$489$	−6.61254	−	13.4663i	−0.299029	−	0.608966i
$490$	−7.35157	−	33.6785i	−0.332110	−	1.52144i
$491$	28.0754	+	16.2093i	1.26702	+	0.731516i	0.974424	−	0.224719i	$-0.0721464\pi$
$491$	28.0754	+	16.2093i	1.26702	+	0.731516i	0.292599	+	0.956235i	$0.405480\pi$
$492$	4.19631	−	17.6806i	0.189184	−	0.797103i
$493$	−4.17528	−	2.41060i	−0.188045	−	0.108568i
$494$	−40.0155	+	7.23431i	−1.80038	+	0.325487i
$495$	−7.83320	−	19.0934i	−0.352076	−	0.858185i
$496$	4.02639	+	20.7319i	0.180790	+	0.930890i
$497$	−2.70637	+	2.80576i	−0.121397	+	0.125856i
$498$	−1.97256	+	4.51519i	−0.0883926	+	0.202330i
$499$	−6.17927	+	3.56760i	−0.276622	+	0.159708i	−0.631893	−	0.775055i	$-0.717722\pi$
$499$	−6.17927	+	3.56760i	−0.276622	+	0.159708i	0.355271	+	0.934763i	$0.384389\pi$
$500$	9.41617	−	11.4208i	0.421104	−	0.510756i
$501$	38.3648	−	18.8388i	1.71401	−	0.841657i
$502$	−19.0924	−	6.85576i	−0.852138	−	0.305988i
$503$	−13.4502			−0.599716			−0.299858	−	0.953984i	$-0.596939\pi$
$503$	−13.4502			−0.599716			−0.299858	+	0.953984i	$0.596939\pi$
$504$	22.1685	−	3.54379i	0.987463	−	0.157853i
$505$	17.3033			0.769987
$506$	1.55210	+	0.557332i	0.0689993	+	0.0247764i
$507$	−3.21481	+	47.8097i	−0.142775	+	2.12330i
$508$	−13.6226	+	16.5229i	−0.604407	+	0.733083i
$509$	5.11495	−	2.95312i	0.226716	−	0.130895i	−0.382340	−	0.924022i	$-0.624882\pi$
$509$	5.11495	−	2.95312i	0.226716	−	0.130895i	0.609056	+	0.793127i	$0.291548\pi$
$510$	−10.1844	+	1.14251i	−0.450973	+	0.0505910i
$511$	28.5085	+	7.09052i	1.26114	+	0.313666i
$512$	22.6103	−	0.880124i	0.999243	−	0.0388963i
$513$	−17.5368	−	15.5375i	−0.774269	−	0.685996i
$514$	1.51224	−	0.273394i	0.0667019	−	0.0120589i
$515$	−45.7710	−	26.4259i	−2.01691	−	1.16446i
$516$	−7.75299	−	7.31922i	−0.341306	−	0.322211i
$517$	0.598355	+	0.345461i	0.0263156	+	0.0151933i
$518$	−3.78443	−	0.246007i	−0.166278	−	0.0108089i
$519$	0.697437	−	1.03998i	0.0306141	−	0.0456499i
$520$	32.1060	+	53.9802i	1.40794	+	2.36719i
$521$	−37.1446	+	21.4454i	−1.62733	+	0.939542i	−0.642451	+	0.766327i	$0.722082\pi$
$521$	−37.1446	+	21.4454i	−1.62733	+	0.939542i	−0.984884	+	0.173215i	$0.944584\pi$
$522$	−14.3494	+	9.16054i	−0.628054	+	0.400946i
$523$	−4.11355	+	7.12488i	−0.179873	+	0.311549i	−0.941837	−	0.336070i	$-0.890902\pi$
$523$	−4.11355	+	7.12488i	−0.179873	+	0.311549i	0.761964	+	0.647619i	$0.224235\pi$
$524$	1.87455	−	11.1963i	0.0818900	−	0.489112i
$525$	31.0872	+	9.98931i	1.35676	+	0.435969i
$526$	3.30003	+	3.89847i	0.143888	+	0.169981i
$527$	5.49385	−	3.17187i	0.239316	−	0.138169i
$528$	10.9104	−	8.26457i	0.474812	−	0.359669i
$529$	−11.3258	+	19.6168i	−0.492426	+	0.852907i
$530$	−19.1959	−	22.6770i	−0.833817	−	0.985025i
$531$	−16.5309	−	40.2941i	−0.717381	−	1.74861i
$532$	−21.8855	−	9.50318i	−0.948855	−	0.412015i
$533$	16.7258	+	28.9700i	0.724476	+	1.25483i
$534$	1.03115	+	9.19175i	0.0446222	+	0.397766i
$535$	−38.8776			−1.68082
$536$	−11.8886	+	7.07101i	−0.513508	+	0.305421i
$537$	−20.5344	−	1.38077i	−0.886125	−	0.0595847i
$538$	−30.5018	+	5.51434i	−1.31502	+	0.237740i
$539$	6.47825	−	12.2178i	0.279038	−	0.526257i
$540$	−12.9952	+	33.7738i	−0.559224	+	1.45339i
$541$	5.48118	−	9.49369i	0.235654	−	0.408165i	−0.723808	−	0.690001i	$-0.757610\pi$
$541$	5.48118	−	9.49369i	0.235654	−	0.408165i	0.959463	+	0.281836i	$0.0909433\pi$
$542$	16.1785	−	13.6950i	0.694927	−	0.588251i
$543$	−5.04859	+	7.52816i	−0.216656	+	0.323064i
$544$	−2.46213	−	6.33514i	−0.105563	−	0.271617i
$545$	14.1075	+	8.14494i	0.604297	+	0.348891i
$546$	−25.1963	+	32.7580i	−1.07830	+	1.40191i
$547$	−4.82709	+	2.78692i	−0.206391	+	0.119160i	−0.599633	−	0.800275i	$-0.704687\pi$
$547$	−4.82709	+	2.78692i	−0.206391	+	0.119160i	0.393242	+	0.919435i	$0.371354\pi$
$548$	14.5939	−	5.45508i	0.623420	−	0.233030i
$549$	−10.9792	+	4.50428i	−0.468579	+	0.192238i
$550$	19.5900	−	3.54163i	0.835321	−	0.151016i
$551$	18.0931			0.770792
$552$	−1.30813	−	2.57890i	−0.0556778	−	0.109765i
$553$	1.18083	−	1.22419i	0.0502138	−	0.0520579i
$554$	−19.0946	+	16.1634i	−0.811251	+	0.686718i
$555$	3.40484	−	5.07710i	0.144527	−	0.215511i
$556$	−25.7570	+	9.62776i	−1.09234	+	0.408308i
$557$	14.6473	+	25.3699i	0.620626	+	1.07496i	0.989369	+	0.145425i	$0.0464549\pi$
$557$	14.6473	+	25.3699i	0.620626	+	1.07496i	−0.368743	+	0.929531i	$0.620212\pi$
$558$	−0.998146	−	22.3781i	−0.0422549	−	0.947341i
$559$	19.6274			0.830151
$560$	−1.91340	+	36.8020i	−0.0808560	+	1.55517i
$561$	−3.41457	−	2.28990i	−0.144163	−	0.0966798i
$562$	3.00229	+	16.6067i	0.126644	+	0.700512i
$563$	−9.36402			−0.394646			−0.197323	−	0.980338i	$-0.563225\pi$
$563$	−9.36402			−0.394646			−0.197323	+	0.980338i	$0.563225\pi$
$564$	−0.347096	−	1.16072i	−0.0146154	−	0.0488752i
$565$			39.1780i			1.64823i
$566$	−24.1894	−	8.68598i	−1.01676	−	0.365099i
$567$	−23.8103	+	0.268251i	−0.999937	+	0.0112655i
$568$	3.58180	−	2.13036i	0.150289	−	0.0893878i
$569$	−27.9923			−1.17350			−0.586750	−	0.809768i	$-0.699593\pi$
$569$	−27.9923			−1.17350			−0.586750	+	0.809768i	$0.699593\pi$
$570$	30.9559	−	22.8233i	1.29660	−	0.955964i
$571$		−	12.4570i		−	0.521308i	−0.965432	−	0.260654i	$-0.916062\pi$
$571$		−	12.4570i		−	0.521308i	0.965432	−	0.260654i	$-0.0839381\pi$
$572$	−4.16058	+	24.8503i	−0.173963	+	1.03904i
$573$	−15.3113	+	22.8313i	−0.639638	+	0.953790i
$574$	−1.27322	+	19.5864i	−0.0531430	+	0.817520i
$575$		−	4.20588i		−	0.175397i
$576$	−23.8593	−	2.59518i	−0.994136	−	0.108132i
$577$	−23.8836	+	13.7892i	−0.994289	+	0.574053i	−0.906554	−	0.422091i	$-0.861296\pi$
$577$	−23.8836	+	13.7892i	−0.994289	+	0.574053i	−0.0877357	+	0.996144i	$0.527963\pi$
$578$	16.7917	−	14.2141i	0.698443	−	0.591227i
$579$	−1.27403	−	0.854402i	−0.0529471	−	0.0355078i
$580$	−9.78446	−	26.1762i	−0.406278	−	1.08691i
$581$	1.28454	−	5.16470i	0.0532918	−	0.214268i
$582$	−38.3843	−	16.7691i	−1.59108	−	0.695100i
$583$		−	11.9191i		−	0.493639i
$584$	−27.3992	−	15.3487i	−1.13379	−	0.635133i
$585$	−25.2847	−	61.6314i	−1.04539	−	2.54814i
$586$	12.3602	+	14.6017i	0.510596	+	0.603190i
$587$	0.790747	+	1.36961i	0.0326376	+	0.0565300i	0.881883	−	0.471469i	$-0.156276\pi$
$587$	0.790747	+	1.36961i	0.0326376	+	0.0565300i	−0.849245	+	0.527999i	$0.822943\pi$
$588$	−22.9667	+	7.78028i	−0.947129	+	0.320853i
$589$	−11.9035	+	20.6175i	−0.490475	+	0.849527i
$590$	70.3524	−	12.7188i	2.89636	−	0.523627i
$591$	−3.12369	−	2.09483i	−0.128492	−	0.0861700i
$592$	3.83317	+	1.32056i	0.157542	+	0.0542746i
$593$	−15.1545	−	8.74947i	−0.622322	−	0.359298i	0.155450	−	0.987844i	$-0.450317\pi$
$593$	−15.1545	−	8.74947i	−0.622322	−	0.359298i	−0.777773	+	0.628546i	$0.783650\pi$
$594$	−12.7331	+	6.97318i	−0.522444	+	0.286113i
$595$	10.6388	−	3.05728i	0.436150	−	0.125336i
$596$	−6.76684	+	40.4169i	−0.277180	+	1.65554i
$597$	1.50615	−	22.3989i	0.0616426	−	0.916728i
$598$	5.01001	+	1.79901i	0.204874	+	0.0735668i
$599$		−	10.1135i		−	0.413228i	−0.978423	−	0.206614i	$-0.933756\pi$
$599$		−	10.1135i		−	0.413228i	0.978423	−	0.206614i	$-0.0662444\pi$
$600$	−29.2412	−	19.0649i	−1.19377	−	0.778320i
$601$	3.06836	−	1.77152i	0.125161	−	0.0722618i	−0.436112	−	0.899892i	$-0.643645\pi$
$601$	3.06836	−	1.77152i	0.125161	−	0.0722618i	0.561273	+	0.827630i	$0.310312\pi$
$602$	9.57893	+	6.39301i	0.390408	+	0.260560i
$603$	13.5737	−	5.56869i	0.552762	−	0.226775i
$604$	15.4197	+	41.2521i	0.627420	+	1.67852i
$605$	−21.4023	−	12.3566i	−0.870127	−	0.502368i
$606$	−1.35695	−	12.0960i	−0.0551223	−	0.491365i
$607$	−9.28653	−	16.0847i	−0.376929	−	0.652859i	0.613685	−	0.789551i	$-0.289686\pi$
$607$	−9.28653	−	16.0847i	−0.376929	−	0.652859i	−0.990614	+	0.136692i	$0.956353\pi$
$608$	19.8893	+	15.9695i	0.806619	+	0.647648i
$609$	13.6250	−	12.3484i	0.552112	−	0.500381i
$610$	−3.46558	−	19.1693i	−0.140317	−	0.776143i
$611$	1.93142	+	1.11511i	0.0781370	+	0.0451124i
$612$	1.59735	+	7.02986i	0.0645691	+	0.284165i
$613$	13.5566	+	23.4808i	0.547548	+	0.948381i	0.998442	+	0.0558032i	$0.0177719\pi$
$613$	13.5566	+	23.4808i	0.547548	+	0.948381i	−0.450894	+	0.892578i	$0.648895\pi$
$614$	−40.1603	−	14.4209i	−1.62074	−	0.581979i
$615$	−26.2766	−	17.6218i	−1.05958	−	0.710581i
$616$	−10.1247	+	10.7727i	−0.407937	+	0.434046i
$617$	−10.1963	+	17.6606i	−0.410489	+	0.710987i	−0.994943	−	0.100439i	$-0.967975\pi$
$617$	−10.1963	+	17.6606i	−0.410489	+	0.710987i	0.584454	+	0.811427i	$0.301309\pi$
$618$	−14.8837	+	34.0688i	−0.598712	+	1.37045i
$619$	12.0136	−	20.8081i	0.482867	−	0.836350i	−0.516940	−	0.856022i	$-0.672929\pi$
$619$	12.0136	−	20.8081i	0.482867	−	0.836350i	0.999806	+	0.0196718i	$0.00626214\pi$
$620$	36.2655	+	6.07178i	1.45646	+	0.243849i
$621$	0.971143	+	2.90930i	0.0389706	+	0.116746i
$622$	−28.2777	−	10.1540i	−1.13383	−	0.407139i
$623$	−2.75929	−	9.60189i	−0.110549	−	0.384692i
$624$	35.2174	−	26.6771i	1.40982	−	1.06794i
$625$	4.92779	+	8.53518i	0.197111	+	0.341407i
$626$	−3.25265	+	9.05823i	−0.130002	+	0.362040i
$627$	15.3943	+	1.03514i	0.614789	+	0.0413396i
$628$	14.2815	−	17.3220i	0.569894	−	0.691223i
$629$		−	1.21781i		−	0.0485572i
$630$	7.73459	−	38.3142i	0.308153	−	1.52647i
$631$		−	17.1069i		−	0.681016i	−0.940242	−	0.340508i	$-0.889401\pi$
$631$		−	17.1069i		−	0.681016i	0.940242	−	0.340508i	$-0.110599\pi$
$632$	−1.56279	+	0.929504i	−0.0621643	+	0.0369737i
$633$	−7.83702	−	15.9599i	−0.311494	−	0.634348i
$634$	−15.6595	−	5.62305i	−0.621919	−	0.223320i
$635$	18.6422	+	32.2892i	0.739792	+	1.28136i
$636$	−14.3471	+	15.1974i	−0.568900	+	0.602615i
$637$	20.9111	−	39.4376i	0.828526	−	1.56257i
$638$	3.78874	−	10.5512i	0.149997	−	0.417725i
$639$	−4.08948	+	1.67774i	−0.161777	+	0.0663703i
$640$	12.3480	−	37.4109i	0.488098	−	1.47880i
$641$	−15.1733	+	26.2810i	−0.599311	+	1.03804i	0.393612	+	0.919277i	$0.371225\pi$
$641$	−15.1733	+	26.2810i	−0.599311	+	1.03804i	−0.992923	+	0.118761i	$0.962108\pi$
$642$	3.04884	+	27.1776i	0.120328	+	1.07261i
$643$	2.71240	−	4.69801i	0.106967	−	0.185272i	−0.807573	−	0.589767i	$-0.799220\pi$
$643$	2.71240	−	4.69801i	0.106967	−	0.185272i	0.914540	+	0.404496i	$0.132553\pi$
$644$	1.85911	+	2.50984i	0.0732591	+	0.0989014i
$645$	−16.6630	+	8.18226i	−0.656104	+	0.322176i
$646$	2.58932	−	7.21095i	0.101876	−	0.283711i
$647$	9.98684	+	17.2977i	0.392623	+	0.680043i	0.992795	−	0.119828i	$-0.0382343\pi$
$647$	9.98684	+	17.2977i	0.392623	+	0.680043i	−0.600171	+	0.799871i	$0.704901\pi$
$648$	24.6289	+	6.43577i	0.967513	+	0.252821i
$649$	24.8384	+	14.3404i	0.974992	+	0.562912i
$650$	63.2343	−	11.4320i	2.48025	−	0.448399i
$651$	5.10732	+	23.6500i	0.200172	+	0.926915i
$652$	−6.06535	−	16.2265i	−0.237537	−	0.635479i
$653$	−16.0966	−	27.8801i	−0.629909	−	1.09103i	−0.987570	−	0.157183i	$-0.949759\pi$
$653$	−16.0966	−	27.8801i	−0.629909	−	1.09103i	0.357661	−	0.933852i	$-0.383574\pi$
$654$	4.58744	−	10.5006i	0.179383	−	0.410607i
$655$	−17.1169	−	9.88247i	−0.668814	−	0.386140i
$656$	6.83458	−	19.8386i	0.266846	−	0.774569i
$657$	26.3582	+	20.3674i	1.02833	+	0.794607i
$658$	0.579398	+	1.17332i	0.0225873	+	0.0457406i
$659$	−3.30688	+	1.90923i	−0.128818	+	0.0743729i	−0.563024	−	0.826440i	$-0.690362\pi$
$659$	−3.30688	+	1.90923i	−0.128818	+	0.0743729i	0.434206	+	0.900813i	$0.357029\pi$
$660$	−6.82740	−	22.8315i	−0.265756	−	0.888714i
$661$		−	41.4910i		−	1.61381i	−0.590681	−	0.806906i	$-0.701141\pi$
$661$		−	41.4910i		−	1.61381i	0.590681	−	0.806906i	$-0.298859\pi$
$662$	3.98313	−	11.0925i	0.154809	−	0.431123i
$663$	−11.0218	−	7.39155i	−0.428053	−	0.287064i
$664$	−2.78062	+	4.96374i	−0.107909	+	0.192630i
$665$	−28.8400	+	29.8991i	−1.11837	+	1.15944i
$666$	−3.81619	−	1.98202i	−0.147874	−	0.0768017i
$667$	−2.05119	−	1.18425i	−0.0794223	−	0.0458545i
$668$	46.2286	−	17.2799i	1.78864	−	0.668579i
$669$	−2.15553	+	32.0563i	−0.0833374	+	1.23937i
$670$	4.28453	+	23.6992i	0.165526	+	0.915582i
$671$	3.90742	−	6.76786i	0.150844	−	0.261270i
$672$	25.8767	−	1.54849i	0.998214	−	0.0597343i
$673$	−3.35200	−	5.80584i	−0.129210	−	0.223799i	0.794161	−	0.607708i	$-0.207911\pi$
$673$	−3.35200	−	5.80584i	−0.129210	−	0.223799i	−0.923371	+	0.383909i	$0.874578\pi$
$674$	19.2292	−	16.2774i	0.740682	−	0.626982i
$675$	27.7125	+	24.5530i	1.06665	+	0.945045i
$676$	−9.13658	+	54.5709i	−0.351407	+	2.09888i
$677$			18.2148i			0.700051i	0.936740	+	0.350025i	$0.113827\pi$
$677$			18.2148i			0.700051i	−0.936740	+	0.350025i	$0.886173\pi$
$678$	27.3876	−	3.07240i	1.05182	−	0.117995i
$679$	43.9059	+	10.9201i	1.68496	+	0.419075i
$680$	−11.8327	+	0.153464i	−0.453763	+	0.00588506i
$681$	9.37374	−	4.60293i	0.359203	−	0.176385i
$682$	9.53065	+	11.2590i	0.364947	+	0.431128i
$683$	−41.8382	+	24.1553i	−1.60090	+	0.924278i	−0.609588	+	0.792719i	$0.708665\pi$
$683$	−41.8382	+	24.1553i	−1.60090	+	0.924278i	−0.991308	+	0.131559i	$0.958002\pi$
$684$	−18.3824	−	19.8501i	−0.702868	−	0.758986i
$685$		−	27.1262i		−	1.03644i
$686$	23.0510	−	12.4360i	0.880090	−	0.474807i
$687$	5.03155	+	0.338331i	0.191966	+	0.0129081i
$688$	−8.07557	−	9.29292i	−0.307878	−	0.354289i
$689$		−	38.4735i		−	1.46572i
$690$	−5.00329	+	0.561279i	−0.190472	+	0.0213675i
$691$	−5.43381			−0.206712			−0.103356	−	0.994644i	$-0.532958\pi$
$691$	−5.43381			−0.206712			−0.103356	+	0.994644i	$0.532958\pi$
$692$	0.919796	−	1.11562i	0.0349654	−	0.0424094i
$693$	12.2991	−	9.72696i	0.467205	−	0.369497i
$694$	5.78911	−	16.1220i	0.219752	−	0.611982i
$695$			47.8753i			1.81602i
$696$	−17.5313	+	8.89266i	−0.664522	+	0.337075i
$697$	−6.30280			−0.238735
$698$	15.5687	−	2.81463i	0.589284	−	0.106535i
$699$	−14.4435	+	7.09242i	−0.546305	+	0.268260i
$700$	34.5844	+	15.0173i	1.30717	+	0.567602i
$701$	−17.6328			−0.665980			−0.332990	−	0.942930i	$-0.608058\pi$
$701$	−17.6328			−0.665980			−0.332990	+	0.942930i	$0.608058\pi$
$702$	−41.1009	+	22.5086i	−1.55125	+	0.849534i
$703$	2.28511	+	3.95793i	0.0861846	+	0.149276i
$704$	13.4776	−	8.25461i	0.507957	−	0.311107i
$705$	−2.10457	−	0.141516i	−0.0792629	−	0.00532979i
$706$	−27.5648	−	32.5636i	−1.03742	−	1.22555i
$707$	3.63112	+	12.6357i	0.136562	+	0.475215i
$708$	−14.4083	−	48.1828i	−0.541498	−	1.81082i
$709$	16.8083			0.631248			0.315624	−	0.948884i	$-0.397786\pi$
$709$	16.8083			0.631248			0.315624	+	0.948884i	$0.397786\pi$
$710$	−1.29085	−	7.14012i	−0.0484446	−	0.267964i
$711$	1.78430	−	0.732020i	0.0669163	−	0.0274529i
$712$	0.138506	+	10.6794i	0.00519072	+	0.400227i
$713$	2.69896	−	1.55825i	0.101077	−	0.0583568i
$714$	−2.97152	−	7.19738i	−0.111206	−	0.269355i
$715$	37.9913	+	21.9343i	1.42079	+	0.820295i
$716$	−23.4384	−	3.92419i	−0.875934	−	0.146654i
$717$	4.27153	+	8.69885i	0.159523	+	0.324865i
$718$	25.9392	+	30.6431i	0.968041	+	1.14359i
$719$	−15.1910	+	26.3116i	−0.566530	+	0.981258i	0.430376	+	0.902650i	$0.358381\pi$
$719$	−15.1910	+	26.3116i	−0.566530	+	0.981258i	−0.996906	+	0.0786083i	$0.974952\pi$
$720$	−18.7772	+	37.3293i	−0.699784	+	1.39118i
$721$	9.69238	−	38.9697i	0.360963	−	1.45131i
$722$	0.335016	+	1.85309i	0.0124680	+	0.0689650i
$723$	1.65442	+	3.36918i	0.0615285	+	0.125301i
$724$	−6.65819	+	8.07571i	−0.247450	+	0.300131i
$725$	−28.5915			−1.06186
$726$	−6.95956	+	15.9304i	−0.258294	+	0.591233i
$727$	−2.64995	−	4.58985i	−0.0982812	−	0.170228i	0.812692	−	0.582693i	$-0.198001\pi$
$727$	−2.64995	−	4.58985i	−0.0982812	−	0.170228i	−0.910973	+	0.412465i	$0.864668\pi$
$728$	−32.6815	+	34.7732i	−1.21126	+	1.28878i
$729$	−24.8386	−	10.5850i	−0.919949	−	0.392037i
$730$	−41.7344	+	35.3279i	−1.54466	+	1.30754i
$731$	−1.84905	+	3.20265i	−0.0683896	+	0.118454i
$732$	−13.1286	+	3.92592i	−0.485249	+	0.145106i
$733$	42.5330	−	24.5564i	1.57099	−	0.907012i	0.574943	−	0.818193i	$-0.305024\pi$
$733$	42.5330	−	24.5564i	1.57099	−	0.907012i	0.996048	−	0.0888185i	$-0.0283091\pi$
$734$	−38.0635	+	32.2205i	−1.40495	+	1.18928i
$735$	−1.31201	+	42.1985i	−0.0483941	+	1.55652i
$736$	−1.20957	−	3.11226i	−0.0445853	−	0.114719i
$737$	−4.83079	+	8.36718i	−0.177945	+	0.308209i
$738$	−10.2580	+	19.7508i	−0.377602	+	0.727035i
$739$	24.0001	−	13.8565i	0.882859	−	0.509719i	0.0112591	−	0.999937i	$-0.496416\pi$
$739$	24.0001	−	13.8565i	0.882859	−	0.509719i	0.871600	+	0.490218i	$0.163083\pi$
$740$	4.49038	−	5.44637i	0.165070	−	0.200213i
$741$	49.6911	+	3.34132i	1.82545	+	0.122747i
$742$	12.5315	−	18.7766i	0.460048	−	0.689310i
$743$	32.0177	+	18.4854i	1.17461	+	0.678164i	0.954763	−	0.297369i	$-0.0961092\pi$
$743$	32.0177	+	18.4854i	1.17461	+	0.678164i	0.219852	+	0.975533i	$0.429443\pi$
$744$	1.40052	−	25.8278i	0.0513454	−	0.946892i
$745$	61.7896	+	35.6743i	2.26380	+	1.30700i
$746$	−2.87114	−	15.8813i	−0.105120	−	0.581454i
$747$	3.68983	−	4.77515i	0.135004	−	0.174714i
$748$	−3.66292	−	3.01998i	−0.133930	−	0.110421i
$749$	−8.15850	−	28.3903i	−0.298105	−	1.03736i
$750$	−14.5915	+	10.7581i	−0.532807	+	0.392831i
$751$	−22.2430	+	12.8420i	−0.811658	+	0.468611i	−0.847531	−	0.530746i	$-0.821912\pi$
$751$	−22.2430	+	12.8420i	−0.811658	+	0.468611i	0.0358735	+	0.999356i	$0.488579\pi$
$752$	−0.266706	−	1.37327i	−0.00972576	−	0.0500779i
$753$	20.6347	+	13.8382i	0.751969	+	0.504291i
$754$	12.2296	−	34.0580i	0.445376	−	1.24032i
$755$	76.6767			2.79055
$756$	−27.3903	−	2.40225i	−0.996176	−	0.0873690i
$757$	32.8332			1.19334			0.596671	−	0.802486i	$-0.296490\pi$
$757$	32.8332			1.19334			0.596671	+	0.802486i	$0.296490\pi$
$758$	−6.85450	+	19.0889i	−0.248967	+	0.693341i
$759$	−1.67747	−	1.12496i	−0.0608885	−	0.0408335i
$760$	38.1688	−	22.7018i	1.38453	−	0.823481i
$761$	−11.5971	+	6.69561i	−0.420396	+	0.242716i	−0.695247	−	0.718771i	$-0.744705\pi$
$761$	−11.5971	+	6.69561i	−0.420396	+	0.242716i	0.274851	+	0.961487i	$0.411372\pi$
$762$	21.1100	−	15.5641i	0.764734	−	0.563827i
$763$	−2.98737	+	12.0112i	−0.108150	+	0.434834i
$764$	−20.1929	+	24.4919i	−0.730552	+	0.886085i
$765$	12.4385	+	1.68038i	0.449716	+	0.0607543i
$766$	−4.69079	−	25.9464i	−0.169485	−	0.937481i
$767$	80.1755	+	46.2893i	2.89497	+	1.67141i
$768$	−27.1207	−	5.69813i	−0.978633	−	0.205613i
$769$	1.88139	+	1.08622i	0.0678447	+	0.0391702i	0.533539	−	0.845776i	$-0.320862\pi$
$769$	1.88139	+	1.08622i	0.0678447	+	0.0391702i	−0.465694	+	0.884946i	$0.654195\pi$
$770$	11.3968	+	23.0792i	0.410712	+	0.831718i
$771$	−1.87789	−	0.126273i	−0.0676305	−	0.00454760i
$772$	−1.36670	−	1.12681i	−0.0491886	−	0.0405546i
$773$	−9.28632	+	5.36146i	−0.334006	+	0.192838i	−0.657618	−	0.753351i	$-0.728436\pi$
$773$	−9.28632	+	5.36146i	−0.334006	+	0.192838i	0.323612	+	0.946190i	$0.395103\pi$
$774$	7.02659	+	11.0067i	0.252566	+	0.395627i
$775$	18.8104	−	32.5806i	0.675691	−	1.17033i
$776$	−42.1975	−	23.6385i	−1.51480	−	0.848571i
$777$	4.42205	+	1.42095i	0.158640	+	0.0509761i
$778$	−17.1854	+	14.5473i	−0.616126	+	0.521546i
$779$	20.4844	−	11.8266i	0.733928	−	0.423734i
$780$	−22.0381	−	73.6975i	−0.789090	−	2.63879i
$781$	1.45542	−	2.52087i	0.0520791	−	0.0902037i
$782$	−0.765528	+	0.648014i	−0.0273752	+	0.0231729i
$783$	19.7774	−	6.60182i	0.706786	−	0.235930i
$784$	−27.2761	+	6.32567i	−0.974147	+	0.225917i
$785$	−19.5438	−	33.8509i	−0.697548	−	1.20819i
$786$	−5.56606	+	12.7407i	−0.198535	+	0.454445i
$787$	−24.5822			−0.876259			−0.438130	−	0.898912i	$-0.644359\pi$
$787$	−24.5822			−0.876259			−0.438130	+	0.898912i	$0.644359\pi$
$788$	−3.35089	−	2.76272i	−0.119371	−	0.0984177i
$789$	−2.75729	−	5.61514i	−0.0981619	−	0.199904i
$790$	0.563214	+	3.11533i	0.0200382	+	0.110839i
$791$	−28.6097	+	8.22155i	−1.01724	+	0.292325i
$792$	−15.4251	+	6.56321i	−0.548106	+	0.233214i
$793$	12.6127	−	21.8459i	0.447891	−	0.775770i
$794$	4.36663	+	5.15850i	0.154966	+	0.183068i
$795$	16.0388	+	32.6627i	0.568839	+	1.15842i
$796$	4.28051	−	25.5666i	0.151719	−	0.906185i
$797$	−29.3180	−	16.9267i	−1.03850	−	0.599576i	−0.119089	−	0.992884i	$-0.537997\pi$
$797$	−29.3180	−	16.9267i	−1.03850	−	0.599576i	−0.919407	+	0.393308i	$0.871331\pi$
$798$	23.1628	+	17.8160i	0.819955	+	0.630680i
$799$	−0.363909	+	0.210103i	−0.0128742	+	0.00743291i
$800$	−31.4300	−	25.2357i	−1.11122	−	0.892217i
$801$	1.51660	−	11.2262i	0.0535863	−	0.396658i
$802$	−8.37601	−	46.3306i	−0.295767	−	1.63599i
$803$	−21.9358			−0.774096
$804$	16.2311	−	4.85366i	0.572426	−	0.171175i
$805$	5.22654	−	1.50195i	0.184211	−	0.0529367i
$806$	30.7638	+	36.3427i	1.08361	+	1.28012i
$807$	37.8769	+	2.54692i	1.33333	+	0.0896557i
$808$	−0.182268	−	14.0537i	−0.00641217	−	0.494406i
$809$	−11.2283	−	19.4481i	−0.394768	−	0.683758i	0.598304	−	0.801269i	$-0.295842\pi$
$809$	−11.2283	−	19.4481i	−0.394768	−	0.683758i	−0.993072	+	0.117512i	$0.962508\pi$
$810$	25.5098	−	36.2432i	0.896323	−	1.27345i
$811$	−47.6072			−1.67172			−0.835858	−	0.548946i	$-0.815029\pi$
$811$	−47.6072			−1.67172			−0.835858	+	0.548946i	$0.815029\pi$
$812$	17.0618	−	12.6382i	0.598753	−	0.443513i
$813$	−23.3026	+	11.4426i	−0.817259	+	0.401311i
$814$	2.78661	−	0.503785i	0.0976707	−	0.0176577i
$815$	−30.1608			−1.05649
$816$	1.03522	+	8.25968i	0.0362399	+	0.289147i
$817$		−	13.8783i		−	0.485541i
$818$	−4.60687	+	12.8296i	−0.161076	+	0.448576i
$819$	39.7002	−	31.3975i	1.38724	−	1.09712i
$820$	−28.1878	−	23.2401i	−0.984361	−	0.811578i
$821$	25.1143			0.876496			0.438248	−	0.898854i	$-0.355599\pi$
$821$	25.1143			0.876496			0.438248	+	0.898854i	$0.355599\pi$
$822$	−18.9627	+	2.12727i	−0.661400	+	0.0741972i
$823$			2.81231i			0.0980309i	0.998798	+	0.0490154i	$0.0156084\pi$
$823$			2.81231i			0.0980309i	−0.998798	+	0.0490154i	$0.984392\pi$
$824$	−20.9808	+	37.4533i	−0.730902	+	1.30475i
$825$	−24.3268	−	1.63578i	−0.846949	−	0.0569505i
$826$	24.0514	+	48.7056i	0.836856	+	1.69469i
$827$			36.6231i			1.27351i	0.771066	+	0.636756i	$0.219724\pi$
$827$			36.6231i			1.27351i	−0.771066	+	0.636756i	$0.780276\pi$
$828$	0.784730	+	3.45356i	0.0272713	+	0.120019i
$829$	15.8020	−	9.12326i	0.548825	−	0.316864i	−0.199823	−	0.979832i	$-0.564037\pi$
$829$	15.8020	−	9.12326i	0.548825	−	0.316864i	0.748648	+	0.662968i	$0.230703\pi$
$830$	6.40012	+	7.56075i	0.222152	+	0.262438i
$831$	27.5027	−	13.5051i	0.954060	−	0.468486i
$832$	43.5043	−	26.6449i	1.50824	−	0.923747i
$833$	4.46514	+	7.12742i	0.154708	+	0.246951i
$834$	33.4675	−	3.75446i	1.15889	−	0.130006i
$835$		−	85.9267i		−	2.97361i
$836$	17.5714	+	2.94190i	0.607719	+	0.101748i
$837$	−5.48868	+	26.8801i	−0.189717	+	0.929112i
$838$	11.4291	−	9.67465i	0.394811	−	0.334205i
$839$	−12.4481	−	21.5607i	−0.429755	−	0.744358i	0.567096	−	0.823652i	$-0.308067\pi$
$839$	−12.4481	−	21.5607i	−0.429755	−	0.744358i	−0.996851	+	0.0792938i	$0.974733\pi$
$840$	13.2492	−	43.1454i	0.457141	−	1.48866i
$841$	6.44946	−	11.1708i	0.222395	−	0.385200i
$842$	6.28002	+	34.7370i	0.216424	+	1.19712i
$843$	1.38667	−	20.6221i	0.0477595	−	0.710263i
$844$	−7.18850	−	19.2313i	−0.247438	−	0.661967i
$845$	83.4283	+	48.1674i	2.87002	+	1.65701i
$846$	0.0661165	+	1.48231i	0.00227313	+	0.0509630i
$847$	4.53211	−	18.2220i	0.155725	−	0.626116i
$848$	−18.2159	+	15.8297i	−0.625537	+	0.543594i
$849$	26.1433	+	17.5324i	0.897236	+	0.601711i
$850$	−4.09177	+	11.3951i	−0.140346	+	0.390847i
$851$		−	0.598273i		−	0.0205085i
$852$	−4.89011	+	1.46231i	−0.167532	+	0.0500980i
$853$	−38.8466	+	22.4281i	−1.33008	+	0.767924i	−0.985312	−	0.170763i	$-0.945377\pi$
$853$	−38.8466	+	22.4281i	−1.33008	+	0.767924i	−0.344771	+	0.938687i	$0.612044\pi$
$854$	13.2711	−	6.55343i	0.454128	−	0.224254i
$855$	−43.5789	+	17.8785i	−1.49037	+	0.611433i
$856$	0.409525	+	31.5762i	0.0139973	+	1.07925i
$857$	−6.50862	−	3.75775i	−0.222330	−	0.128362i	0.384699	−	0.923042i	$-0.374305\pi$
$857$	−6.50862	−	3.75775i	−0.222330	−	0.128362i	−0.607029	+	0.794680i	$0.707639\pi$
$858$	12.3539	−	28.2781i	0.421757	−	0.965400i
$859$	15.4621	+	26.7811i	0.527559	+	0.913758i	0.999484	+	0.0321199i	$0.0102258\pi$
$859$	15.4621	+	26.7811i	0.527559	+	0.913758i	−0.471925	+	0.881639i	$0.656441\pi$
$860$	−20.0785	+	7.50518i	−0.684670	+	0.255924i
$861$	7.35413	−	22.8864i	0.250628	−	0.779967i
$862$	−40.2656	+	7.27952i	−1.37145	+	0.247941i
$863$	−37.2047	−	21.4801i	−1.26646	−	0.731192i	−0.292146	−	0.956374i	$-0.594369\pi$
$863$	−37.2047	−	21.4801i	−1.26646	−	0.731192i	−0.974317	+	0.225181i	$0.927703\pi$
$864$	27.5678	+	10.1989i	0.937875	+	0.346972i
$865$	−1.25871	−	2.18015i	−0.0427975	−	0.0741274i
$866$	−5.30357	+	14.7698i	−0.180223	+	0.501898i
$867$	−24.1858	+	11.8763i	−0.821394	+	0.403342i
$868$	3.17645	+	27.7570i	0.107816	+	0.942134i
$869$	−0.635021	+	1.09989i	−0.0215416	+	0.0373112i
$870$	3.81557	+	34.0123i	0.129360	+	1.15312i
$871$	−15.5933	+	27.0083i	−0.528357	+	0.915142i
$872$	6.46668	−	11.5438i	0.218989	−	0.390922i
$873$	40.5943	+	31.3678i	1.37391	+	1.06164i
$874$	1.27206	−	3.54252i	0.0430279	−	0.119828i
$875$	13.5941	−	14.0934i	0.459566	−	0.476444i
$876$	27.9690	+	26.4042i	0.944986	+	0.892116i
$877$	−4.12541	−	7.14542i	−0.139305	−	0.241284i	0.787929	−	0.615767i	$-0.211154\pi$
$877$	−4.12541	−	7.14542i	−0.139305	−	0.241284i	−0.927234	+	0.374483i	$0.877820\pi$
$878$	−18.5921	−	6.67609i	−0.627453	−	0.225307i
$879$	−10.3274	−	21.0315i	−0.348334	−	0.709373i
$880$	−5.24613	−	27.0123i	−0.176847	−	0.910585i
$881$		−	22.1964i		−	0.747816i	−0.927466	−	0.373908i	$-0.878018\pi$
$881$		−	22.1964i		−	0.747816i	0.927466	−	0.373908i	$-0.121982\pi$
$882$	29.6020	−	2.39210i	0.996751	−	0.0805463i
$883$			48.0915i			1.61841i	0.587529	+	0.809203i	$0.300101\pi$
$883$			48.0915i			1.61841i	−0.587529	+	0.809203i	$0.699899\pi$
$884$	−11.8235	−	9.74815i	−0.397667	−	0.327866i
$885$	−87.3632	−	5.87447i	−2.93668	−	0.197468i
$886$	0.989202	−	2.75480i	0.0332329	−	0.0925495i
$887$	−21.3742	−	37.0211i	−0.717674	−	1.24305i	−0.961919	−	0.273334i	$-0.911874\pi$
$887$	−21.3742	−	37.0211i	−0.717674	−	1.24305i	0.244245	−	0.969714i	$-0.421460\pi$
$888$	−4.15946	−	2.71191i	−0.139582	−	0.0910059i
$889$	−19.6670	+	20.3893i	−0.659611	+	0.683836i
$890$	17.5011	+	6.28434i	0.586639	+	0.210652i
$891$	17.2051	−	4.48557i	0.576391	−	0.150272i
$892$	−6.12606	+	36.5897i	−0.205116	+	1.22511i
$893$	0.788480	−	1.36569i	0.0263855	−	0.0457010i
$894$	20.0927	−	45.9920i	0.671999	−	1.53820i
$895$	−20.6880	+	35.8327i	−0.691525	+	1.19776i
$896$	29.9105	+	1.16639i	0.999241	+	0.0389665i
$897$	−5.41470	−	3.63125i	−0.180792	−	0.121244i
$898$	−21.2474	−	7.62956i	−0.709035	−	0.254602i
$899$	−10.5929	−	18.3475i	−0.353294	−	0.611923i
$900$	29.0487	+	31.3680i	0.968289	+	1.04560i
$901$	6.27781	+	3.62450i	0.209144	+	0.120749i
$902$	−2.60735	−	14.4222i	−0.0868153	−	0.480206i
$903$	−9.47183	−	10.4510i	−0.315203	−	0.347789i
$904$	31.8202	−	0.412690i	1.05832	−	0.0137259i
$905$	9.11154	+	15.7816i	0.302878	+	0.524600i
$906$	−6.01310	−	53.6013i	−0.199772	−	1.78078i
$907$	−14.2016	−	8.19932i	−0.471558	−	0.272254i	0.245334	−	0.969439i	$-0.421102\pi$
$907$	−14.2016	−	8.19932i	−0.471558	−	0.272254i	−0.716891	+	0.697185i	$0.754436\pi$
$908$	11.2951	−	4.22203i	0.374842	−	0.140113i
$909$	−1.99578	+	14.7732i	−0.0661959	+	0.489996i
$910$	36.7876	+	74.4972i	1.21950	+	2.46956i
$911$	6.37439	−	3.68026i	0.211193	−	0.121932i	−0.390673	−	0.920530i	$-0.627758\pi$
$911$	6.37439	−	3.68026i	0.211193	−	0.121932i	0.601866	+	0.798597i	$0.294424\pi$
$912$	−18.8631	−	24.9018i	−0.624619	−	0.824581i
$913$			3.97396i			0.131519i
$914$	−17.4168	−	6.25406i	−0.576096	−	0.206866i
$915$	−1.60065	+	23.8044i	−0.0529159	+	0.786948i
$916$	5.74312	+	0.961545i	0.189758	+	0.0317703i
$917$	3.62465	−	14.5735i	0.119696	−	0.481258i
$918$	0.199231	−	8.82701i	0.00657560	−	0.291335i
$919$	10.1235	+	5.84481i	0.333944	+	0.192802i	0.657591	−	0.753375i	$-0.271576\pi$
$919$	10.1235	+	5.84481i	0.333944	+	0.192802i	−0.323647	+	0.946178i	$0.604909\pi$
$920$	−5.81305	+	0.0753920i	−0.191651	+	0.00248560i
$921$	43.4043	+	29.1081i	1.43022	+	0.959146i
$922$	6.64945	−	1.20214i	0.218988	−	0.0395903i
$923$	4.69794	−	8.13708i	0.154635	−	0.267835i
$924$	15.2399	−	9.77691i	0.501356	−	0.321637i
$925$	−3.61104	−	6.25450i	−0.118730	−	0.205647i
$926$	15.3395	+	18.1213i	0.504088	+	0.595502i
$927$	27.8412	−	36.0303i	0.914424	−	1.18339i
$928$	−21.1571	+	8.22262i	−0.694516	+	0.269921i
$929$		−	28.3692i		−	0.930764i	−0.885110	−	0.465382i	$-0.845917\pi$
$929$		−	28.3692i		−	0.930764i	0.885110	−	0.465382i	$-0.154083\pi$
$930$	−41.2679	−	18.0288i	−1.35323	−	0.591189i
$931$	−27.8859	−	14.7860i	−0.913923	−	0.484591i
$932$	−17.4041	+	6.50552i	−0.570090	+	0.213095i
$933$	30.5619	+	20.4956i	1.00055	+	0.670996i
$934$	−37.1161	+	31.4186i	−1.21448	+	1.02805i
$935$	−7.15813	+	4.13275i	−0.234096	+	0.135155i
$936$	−49.7904	+	21.1853i	−1.62745	+	0.692464i
$937$		−	49.8946i		−	1.62999i	−0.579470	−	0.814993i	$-0.696741\pi$
$937$		−	49.8946i		−	1.62999i	0.579470	−	0.814993i	$-0.303259\pi$
$938$	−16.4072	+	8.10208i	−0.535715	+	0.264542i
$939$	6.56539	−	9.78992i	0.214253	−	0.319482i
$940$	−2.40221	−	0.402191i	−0.0783513	−	0.0131180i
$941$			12.4737i			0.406629i	0.979113	+	0.203315i	$0.0651715\pi$
$941$			12.4737i			0.406629i	−0.979113	+	0.203315i	$0.934829\pi$
$942$	−22.1310	+	16.3168i	−0.721066	+	0.531631i
$943$	−3.09637			−0.100832
$944$	−11.0713	−	57.0059i	−0.360339	−	1.85538i
$945$	−20.6151	+	43.2056i	−0.670608	+	1.40548i
$946$	−8.09327	−	2.90615i	−0.263135	−	0.0944871i
$947$		−	28.2332i		−	0.917457i	−0.888577	−	0.458728i	$-0.848305\pi$
$947$		−	28.2332i		−	0.917457i	0.888577	−	0.458728i	$-0.151695\pi$
$948$	2.13362	−	0.638027i	0.0692968	−	0.0207221i
$949$	−70.8062			−2.29847
$950$	−8.08343	−	44.7123i	−0.262261	−	1.45066i
$951$	16.9244	+	11.3500i	0.548812	+	0.368049i
$952$	−2.59517	−	8.60861i	−0.0841100	−	0.279007i
$953$	−2.77543			−0.0899050			−0.0449525	−	0.998989i	$-0.514314\pi$
$953$	−2.77543			−0.0899050			−0.0449525	+	0.998989i	$0.514314\pi$
$954$	21.5752	−	13.7735i	0.698524	−	0.445933i
$955$	27.6333	+	47.8623i	0.894193	+	1.54879i
$956$	3.91806	+	10.4819i	0.126719	+	0.339009i
$957$	−7.64746	+	11.4034i	−0.247207	+	0.368621i
$958$	11.1064	−	9.40147i	0.358831	−	0.303748i
$959$	19.8088	−	5.69245i	0.639660	−	0.183819i
$960$	−25.8258	+	40.7567i	−0.833526	+	1.31542i
$961$	−3.12354			−0.100759
$962$	8.99487	−	1.62616i	0.290006	−	0.0524296i
$963$	4.48418	−	33.1929i	0.144501	−	1.06963i
$964$	1.51751	+	4.05977i	0.0488758	+	0.130757i
$965$	−2.67082	+	1.54200i	−0.0859767	+	0.0496387i
$966$	−1.45982	−	3.53586i	−0.0469689	−	0.113764i
$967$	−33.2406	−	19.1915i	−1.06894	−	0.617156i	−0.141052	−	0.990002i	$-0.545048\pi$
$967$	−33.2406	−	19.1915i	−1.06894	−	0.617156i	−0.927893	+	0.372847i	$0.878382\pi$
$968$	−9.81053	+	17.5130i	−0.315323	+	0.562889i
$969$	−5.22648	+	7.79342i	−0.167899	+	0.250361i
$970$	−64.2751	+	54.4084i	−2.06375	+	1.74695i
$971$	22.7039	−	39.3244i	0.728604	−	1.26198i	−0.228870	−	0.973457i	$-0.573503\pi$
$971$	22.7039	−	39.3244i	0.728604	−	1.26198i	0.957473	−	0.288522i	$-0.0931637\pi$
$972$	−27.3365	−	14.9905i	−0.876818	−	0.480822i
$973$	−34.9609	+	10.0467i	−1.12079	+	0.322082i
$974$	38.4206	−	6.94597i	1.23107	−	0.222563i
$975$	−78.5240	−	5.28011i	−2.51478	−	0.169099i
$976$	−15.5327	+	3.01665i	−0.497190	+	0.0965606i
$977$	38.5115			1.23209			0.616046	−	0.787710i	$-0.288734\pi$
$977$	38.5115			1.23209			0.616046	+	0.787710i	$0.288734\pi$
$978$	2.36525	+	21.0841i	0.0756324	+	0.674194i
$979$	3.72994	+	6.46044i	0.119209	+	0.206477i
$980$	−6.31135	+	48.3399i	−0.201609	+	1.54416i
$981$	−8.58115	+	11.1052i	−0.273975	+	0.354562i
$982$	−29.6213	−	34.9930i	−0.945255	−	1.11667i
$983$	−3.17063	+	5.49169i	−0.101127	+	0.175158i	−0.912149	−	0.409858i	$-0.865578\pi$
$983$	−3.17063	+	5.49169i	−0.101127	+	0.175158i	0.811022	+	0.585016i	$0.198912\pi$
$984$	−14.0356	+	21.5274i	−0.447438	+	0.686268i
$985$	−6.54835	+	3.78069i	−0.208648	+	0.120463i
$986$	4.40519	+	5.20405i	0.140290	+	0.165731i
$987$	−0.338306	−	1.56656i	−0.0107684	−	0.0498641i
$988$	56.7184	+	9.49612i	1.80445	+	0.302112i
$989$	−0.908382	+	1.57336i	−0.0288849	+	0.0500300i
$990$	1.30052	+	29.1572i	0.0413332	+	0.926678i
$991$	39.7136	−	22.9287i	1.26154	−	0.728353i	0.288171	−	0.957579i	$-0.406953\pi$
$991$	39.7136	−	22.9287i	1.26154	−	0.728353i	0.973373	+	0.229226i	$0.0736196\pi$
$992$	4.54946	−	29.5186i	0.144445	−	0.937217i
$993$	−8.03984	+	11.9885i	−0.255137	+	0.380445i
$994$	4.94318	−	2.44100i	0.156788	−	0.0774238i
$995$	−39.0864	−	22.5665i	−1.23912	−	0.715407i
$996$	4.78348	−	5.06697i	0.151570	−	0.160553i
$997$	−35.8290	−	20.6859i	−1.13472	−	0.655128i	−0.189599	−	0.981862i	$-0.560719\pi$
$997$	−35.8290	−	20.6859i	−1.13472	−	0.655128i	−0.945117	+	0.326733i	$0.894052\pi$
$998$	9.92974	−	1.79517i	0.314320	−	0.0568253i
$999$	3.94200	+	3.49258i	0.124719	+	0.110500i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.bj.b.103.5	yes	84
3.2	odd	2		756.2.bj.b.523.38		84
4.3	odd	2	inner	252.2.bj.b.103.6	yes	84
7.3	odd	6		252.2.n.b.31.33	yes	84
9.2	odd	6		756.2.n.b.19.20		84
9.7	even	3		252.2.n.b.187.23	yes	84
12.11	even	2		756.2.bj.b.523.37		84
21.17	even	6		756.2.n.b.199.10		84
28.3	even	6		252.2.n.b.31.23	✓	84
36.7	odd	6		252.2.n.b.187.33	yes	84
36.11	even	6		756.2.n.b.19.10		84
63.38	even	6		756.2.bj.b.451.38		84
63.52	odd	6	inner	252.2.bj.b.115.5	yes	84
84.59	odd	6		756.2.n.b.199.20		84
252.115	even	6	inner	252.2.bj.b.115.6	yes	84
252.227	odd	6		756.2.bj.b.451.37		84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.n.b.31.23	✓	84	28.3	even	6
252.2.n.b.31.33	yes	84	7.3	odd	6
252.2.n.b.187.23	yes	84	9.7	even	3
252.2.n.b.187.33	yes	84	36.7	odd	6
252.2.bj.b.103.5	yes	84	1.1	even	1	trivial
252.2.bj.b.103.6	yes	84	4.3	odd	2	inner
252.2.bj.b.115.5	yes	84	63.52	odd	6	inner
252.2.bj.b.115.6	yes	84	252.115	even	6	inner
756.2.n.b.19.10		84	36.11	even	6
756.2.n.b.19.20		84	9.2	odd	6
756.2.n.b.199.10		84	21.17	even	6
756.2.n.b.199.20		84	84.59	odd	6
756.2.bj.b.451.37		84	252.227	odd	6
756.2.bj.b.451.38		84	63.38	even	6
756.2.bj.b.523.37		84	12.11	even	2
756.2.bj.b.523.38		84	3.2	odd	2

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:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.bj (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.33100 - 0.477940i) q^{2} +(1.43852 + 0.964710i) q^{3} +(1.54315 + 1.27228i) q^{4} +(3.01564 - 1.74108i) q^{5} +(-1.45360 - 1.97156i) q^{6} +(1.90425 + 1.83680i) q^{7} +(-1.44586 - 2.43094i) q^{8} +(1.13867 + 2.77551i) q^{9} +O(q^{10})\)	\(q+(-1.33100 - 0.477940i) q^{2} +(1.43852 + 0.964710i) q^{3} +(1.54315 + 1.27228i) q^{4} +(3.01564 - 1.74108i) q^{5} +(-1.45360 - 1.97156i) q^{6} +(1.90425 + 1.83680i) q^{7} +(-1.44586 - 2.43094i) q^{8} +(1.13867 + 2.77551i) q^{9} +(-4.84596 + 0.876089i) q^{10} +(-1.71090 - 0.987787i) q^{11} +(0.992462 + 3.31889i) q^{12} +(-5.52258 - 3.18847i) q^{13} +(-1.65669 - 3.35490i) q^{14} +(6.01768 + 0.404641i) q^{15} +(0.762601 + 3.92663i) q^{16} +(1.04054 - 0.600755i) q^{17} +(-0.189049 - 4.23843i) q^{18} +(-2.25453 + 3.90496i) q^{19} +(6.86871 + 1.15000i) q^{20} +(0.967328 + 4.47932i) q^{21} +(1.80511 + 2.13246i) q^{22} +(0.511185 - 0.295133i) q^{23} +(0.265258 - 4.89179i) q^{24} +(3.56271 - 6.17079i) q^{25} +(5.82669 + 6.88333i) q^{26} +(-1.03956 + 5.09110i) q^{27} +(0.601621 + 5.25719i) q^{28} +(-2.00631 - 3.47503i) q^{29} +(-7.81617 - 3.41467i) q^{30} +5.27982 q^{31} +(0.861670 - 5.59084i) q^{32} +(-1.50823 - 3.07147i) q^{33} +(-1.67209 + 0.302292i) q^{34} +(8.94054 + 2.22365i) q^{35} +(-1.77409 + 5.73172i) q^{36} +(0.506783 - 0.877774i) q^{37} +(4.86712 - 4.11999i) q^{38} +(-4.86839 - 9.91436i) q^{39} +(-8.59265 - 4.81348i) q^{40} +(-4.54294 - 2.62287i) q^{41} +(0.853327 - 6.42432i) q^{42} +(-2.66552 + 1.53894i) q^{43} +(-1.38342 - 3.70104i) q^{44} +(8.26619 + 6.38740i) q^{45} +(-0.821445 + 0.148507i) q^{46} -0.349732 q^{47} +(-2.69104 + 6.38422i) q^{48} +(0.252362 + 6.99545i) q^{49} +(-7.69124 + 6.51059i) q^{50} +(2.07639 + 0.139620i) q^{51} +(-4.46553 - 11.9465i) q^{52} +(3.01662 + 5.22494i) q^{53} +(3.81690 - 6.27943i) q^{54} -6.87926 q^{55} +(1.71186 - 7.28488i) q^{56} +(-7.01033 + 3.44239i) q^{57} +(1.00955 + 5.58417i) q^{58} -14.5178 q^{59} +(8.77135 + 8.28060i) q^{60} +3.95573i q^{61} +(-7.02746 - 2.52344i) q^{62} +(-2.92972 + 7.37677i) q^{63} +(-3.81897 + 7.02961i) q^{64} -22.2055 q^{65} +(0.539482 + 4.80898i) q^{66} -4.89052i q^{67} +(2.37003 + 0.396804i) q^{68} +(1.02007 + 0.0685912i) q^{69} +(-10.8371 - 7.23274i) q^{70} +1.47342i q^{71} +(5.10074 - 6.78104i) q^{72} +(9.61590 - 5.55174i) q^{73} +(-1.09405 + 0.926109i) q^{74} +(11.0780 - 5.43981i) q^{75} +(-8.44727 + 3.15753i) q^{76} +(-1.44362 - 5.02357i) q^{77} +(1.74139 + 15.5229i) q^{78} -0.642873i q^{79} +(9.13630 + 10.5135i) q^{80} +(-6.40686 + 6.32077i) q^{81} +(4.79310 + 5.66230i) q^{82} +(-1.00577 - 1.74205i) q^{83} +(-4.20622 + 8.14295i) q^{84} +(2.09192 - 3.62331i) q^{85} +(4.28334 - 0.774375i) q^{86} +(0.466282 - 6.93439i) q^{87} +(0.0724641 + 5.58730i) q^{88} +(-3.27016 - 1.88803i) q^{89} +(-7.94954 - 12.4524i) q^{90} +(-4.65984 - 16.2155i) q^{91} +(1.16432 + 0.194938i) q^{92} +(7.59511 + 5.09349i) q^{93} +(0.465495 + 0.167151i) q^{94} +15.7012i q^{95} +(6.63307 - 7.21127i) q^{96} +(14.8094 - 8.55023i) q^{97} +(3.00751 - 9.43159i) q^{98} +(0.793461 - 5.87337i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9}+O(q^{10}) \) 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9	\( 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9} - 18 q^{10} - 6 q^{12} + 18 q^{13} + 14 q^{14} + 14 q^{16} + 6 q^{17} - 10 q^{18} - 24 q^{20} + 4 q^{21} + 6 q^{22} - 6 q^{24} + 16 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 11 q^{30} - 18 q^{32} - 18 q^{33} - 24 q^{34} - 38 q^{36} + 2 q^{37} + 33 q^{38} + 6 q^{40} + 6 q^{41} - 38 q^{42} - 13 q^{44} - 54 q^{45} + 10 q^{46} + 9 q^{48} - 28 q^{49} - 17 q^{50} - 27 q^{52} - 2 q^{53} - 39 q^{54} + 58 q^{56} + 6 q^{57} - 13 q^{58} - 31 q^{60} - 8 q^{64} - 100 q^{65} + 30 q^{66} - 18 q^{68} - 18 q^{69} - 19 q^{70} + 26 q^{72} + 30 q^{73} - 23 q^{74} - 2 q^{77} + 15 q^{78} + 3 q^{80} - 32 q^{81} - 18 q^{82} + 23 q^{84} - 50 q^{85} - 9 q^{86} + q^{88} - 102 q^{89} - 39 q^{90} + 28 q^{92} - 36 q^{93} + 63 q^{96} + 6 q^{97} + 21 q^{98}+O(q^{100}) \) 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9 - 18 * q^10 - 6 * q^12 + 18 * q^13 + 14 * q^14 + 14 * q^16 + 6 * q^17 - 10 * q^18 - 24 * q^20 + 4 * q^21 + 6 * q^22 - 6 * q^24 + 16 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 11 * q^30 - 18 * q^32 - 18 * q^33 - 24 * q^34 - 38 * q^36 + 2 * q^37 + 33 * q^38 + 6 * q^40 + 6 * q^41 - 38 * q^42 - 13 * q^44 - 54 * q^45 + 10 * q^46 + 9 * q^48 - 28 * q^49 - 17 * q^50 - 27 * q^52 - 2 * q^53 - 39 * q^54 + 58 * q^56 + 6 * q^57 - 13 * q^58 - 31 * q^60 - 8 * q^64 - 100 * q^65 + 30 * q^66 - 18 * q^68 - 18 * q^69 - 19 * q^70 + 26 * q^72 + 30 * q^73 - 23 * q^74 - 2 * q^77 + 15 * q^78 + 3 * q^80 - 32 * q^81 - 18 * q^82 + 23 * q^84 - 50 * q^85 - 9 * q^86 + q^88 - 102 * q^89 - 39 * q^90 + 28 * q^92 - 36 * q^93 + 63 * q^96 + 6 * q^97 + 21 * q^98

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