LMFDB - Embedded newform 29.2.e.a.13.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [29,2,Mod(4,29)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(29, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([1]))

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

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

chi := DirichletCharacter("29.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	29.e (of order $14$, degree $6$, 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:	$0.231566165862$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$2$ over $\Q(\zeta_{14})$
Coefficient field:	12.0.7877952219361.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} - 3x^{11} + 13x^{9} - 18x^{8} - 14x^{7} + 57x^{6} - 28x^{5} - 72x^{4} + 104x^{3} - 96x + 64 $ x^12 - 3x^11 + 13x^9 - 18x^8 - 14x^7 + 57x^6 - 28x^5 - 72x^4 + 104x^3 - 96*x + 64
Coefficient ring:	$\Z[a_1, \ldots, a_{4}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			13.1
Root			$-1.25719 + 0.647667i$ of defining polynomial
Character	$\chi$	$=$	29.13
Dual form			29.2.e.a.9.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.12916 + 2.34472i) q^{2} +(-0.343489 - 0.273923i) q^{3} +(-2.97573 - 3.73144i) q^{4} +(2.32488 + 1.11960i) q^{5} +(1.03013 - 0.496082i) q^{6} +(0.0468435 - 0.0587399i) q^{7} +(7.03485 - 1.60566i) q^{8} +(-0.624612 - 2.73660i) q^{9} +(-5.25031 + 4.18698i) q^{10} +(-3.68362 - 0.840763i) q^{11} +2.09683i q^{12} +(0.196040 - 0.858907i) q^{13} +(0.0848347 + 0.176161i) q^{14} +(-0.491885 - 1.02141i) q^{15} +(-2.05458 + 9.00172i) q^{16} +3.94108i q^{17} +(7.12185 + 1.62552i) q^{18} +(-0.557928 + 0.444933i) q^{19} +(-2.74047 - 12.0068i) q^{20} +(-0.0321804 + 0.00734497i) q^{21} +(6.13074 - 7.68771i) q^{22} +(-1.06102 + 0.510959i) q^{23} +(-2.85622 - 1.37548i) q^{24} +(1.03411 + 1.29673i) q^{25} +(1.79253 + 1.42950i) q^{26} +(-1.10694 + 2.29858i) q^{27} -0.358578 q^{28} +(-0.719302 + 5.33691i) q^{29} +2.95033 q^{30} +(2.23488 - 4.64077i) q^{31} +(-7.50351 - 5.98385i) q^{32} +(1.03498 + 1.29782i) q^{33} +(-9.24073 - 4.45010i) q^{34} +(0.174671 - 0.0841171i) q^{35} +(-8.35281 + 10.4741i) q^{36} +(3.01010 - 0.687035i) q^{37} +(-0.413254 - 1.81058i) q^{38} +(-0.302612 + 0.241325i) q^{39} +(18.1529 + 4.14328i) q^{40} -6.67122i q^{41} +(0.0191148 - 0.0837476i) q^{42} +(3.60715 + 7.49033i) q^{43} +(7.82420 + 16.2471i) q^{44} +(1.61176 - 7.06160i) q^{45} -3.06474i q^{46} +(-10.3265 - 2.35695i) q^{47} +(3.17151 - 2.52919i) q^{48} +(1.55639 + 6.81899i) q^{49} +(-4.20815 + 0.960482i) q^{50} +(1.07955 - 1.35372i) q^{51} +(-3.78832 + 1.82436i) q^{52} +(-5.00585 - 2.41069i) q^{53} +(-4.13962 - 5.19091i) q^{54} +(-7.62267 - 6.07887i) q^{55} +(0.235221 - 0.488441i) q^{56} +0.313519 q^{57} +(-11.7013 - 7.71277i) q^{58} +9.91885 q^{59} +(-2.34762 + 4.87488i) q^{60} +(2.78906 + 2.22420i) q^{61} +(8.35778 + 10.4803i) q^{62} +(-0.190007 - 0.0915024i) q^{63} +(5.86540 - 2.82463i) q^{64} +(1.41740 - 1.77737i) q^{65} +(-4.21168 + 0.961289i) q^{66} +(1.09916 + 4.81572i) q^{67} +(14.7059 - 11.7276i) q^{68} +(0.504411 + 0.115129i) q^{69} +0.504535i q^{70} +(1.09187 - 4.78379i) q^{71} +(-8.78811 - 18.2487i) q^{72} +(-3.86250 - 8.02056i) q^{73} +(-1.78797 + 7.83360i) q^{74} -0.728681i q^{75} +(3.32048 + 0.757878i) q^{76} +(-0.221940 + 0.176991i) q^{77} +(-0.224143 - 0.982034i) q^{78} +(12.8588 - 2.93495i) q^{79} +(-14.8550 + 18.6276i) q^{80} +(-6.57715 + 3.16739i) q^{81} +(15.6421 + 7.53285i) q^{82} +(10.5908 + 13.2805i) q^{83} +(0.123167 + 0.0982228i) q^{84} +(-4.41245 + 9.16255i) q^{85} -21.6357 q^{86} +(1.70898 - 1.63614i) q^{87} -27.2637 q^{88} +(2.94891 - 6.12348i) q^{89} +(14.7375 + 11.7528i) q^{90} +(-0.0412689 - 0.0517495i) q^{91} +(5.06391 + 2.43865i) q^{92} +(-2.03887 + 0.981869i) q^{93} +(17.1866 - 21.5513i) q^{94} +(-1.79526 + 0.409757i) q^{95} +(0.938257 + 4.11077i) q^{96} +(-8.92624 + 7.11844i) q^{97} +(-17.7460 - 4.05041i) q^{98} +10.6058i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q - 7 q^{2} - 7 q^{3} - q^{4} - q^{5} - 3 q^{6} - 11 q^{7} + 14 q^{8} - 3 q^{9} - 7 q^{10} + 7 q^{11} + 9 q^{13} - 7 q^{14} + 7 q^{15} + 9 q^{16} + 42 q^{18} - 7 q^{19} - 11 q^{20} - 7 q^{21} - 4 q^{22}+ \cdots - 42 q^{98}+O(q^{100}) $ 12 * q - 7 * q^2 - 7 * q^3 - q^4 - q^5 - 3 * q^6 - 11 * q^7 + 14 * q^8 - 3 * q^9 - 7 * q^10 + 7 * q^11 + 9 * q^13 - 7 * q^14 + 7 * q^15 + 9 * q^16 + 42 * q^18 - 7 * q^19 - 11 * q^20 - 7 * q^21 - 4 * q^22 - 5 * q^23 - 25 * q^24 + 13 * q^25 - 21 * q^26 - 7 * q^27 + 12 * q^28 - 15 * q^29 + 2 * q^30 - 21 * q^31 - 17 * q^33 - 13 * q^34 + 19 * q^35 - 40 * q^36 + 7 * q^37 + 28 * q^38 + 21 * q^39 + 35 * q^40 + 50 * q^42 + 7 * q^43 + 42 * q^44 + 16 * q^45 - 7 * q^47 - 14 * q^48 + 13 * q^49 - 28 * q^50 + 20 * q^51 - 6 * q^52 - 10 * q^53 - 38 * q^54 - 35 * q^55 - 21 * q^56 - 14 * q^57 - 57 * q^58 + 44 * q^59 - 28 * q^60 - 7 * q^61 + 37 * q^62 - 13 * q^63 - 26 * q^64 - 6 * q^65 + 21 * q^66 - 37 * q^67 + 14 * q^68 + 21 * q^69 - 21 * q^71 + 35 * q^72 + 14 * q^73 + 7 * q^76 - 7 * q^77 + 17 * q^78 + 49 * q^79 - 6 * q^80 + q^81 + 22 * q^82 + 5 * q^83 + 21 * q^84 + 14 * q^85 - 44 * q^86 + 15 * q^87 - 66 * q^88 + 7 * q^89 + 28 * q^90 - 3 * q^91 - 6 * q^92 + 19 * q^93 + 66 * q^94 - 7 * q^95 + 30 * q^96 + 14 * q^97 - 42 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/29\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{9}{14}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.12916	+	2.34472i	−0.798434	+	1.65797i	−0.0463255	+	0.998926i	$0.514751\pi$
$2$	−1.12916	+	2.34472i	−0.798434	+	1.65797i	−0.752109	+	0.659039i	$0.770963\pi$
$3$	−0.343489	−	0.273923i	−0.198313	−	0.158150i	0.519298	−	0.854593i	$-0.326193\pi$
$3$	−0.343489	−	0.273923i	−0.198313	−	0.158150i	−0.717612	+	0.696443i	$0.754765\pi$
$4$	−2.97573	−	3.73144i	−1.48786	−	1.86572i
$5$	2.32488	+	1.11960i	1.03972	+	0.500702i	0.874231	−	0.485510i	$-0.161366\pi$
$5$	2.32488	+	1.11960i	1.03972	+	0.500702i	0.165487	+	0.986212i	$0.447080\pi$
$6$	1.03013	−	0.496082i	0.420547	−	0.202525i
$7$	0.0468435	−	0.0587399i	0.0177052	−	0.0222016i	−0.772900	−	0.634528i	$-0.781195\pi$
$7$	0.0468435	−	0.0587399i	0.0177052	−	0.0222016i	0.790605	+	0.612326i	$0.209766\pi$
$8$	7.03485	−	1.60566i	2.48720	−	0.567686i
$9$	−0.624612	−	2.73660i	−0.208204	−	0.912202i
$10$	−5.25031	+	4.18698i	−1.66029	+	1.32404i
$11$	−3.68362	−	0.840763i	−1.11065	−	0.253500i	−0.372434	−	0.928059i	$-0.621477\pi$
$11$	−3.68362	−	0.840763i	−1.11065	−	0.253500i	−0.738221	+	0.674559i	$0.764334\pi$
$12$			2.09683i			0.605302i
$13$	0.196040	−	0.858907i	0.0543717	−	0.238218i	−0.940439	−	0.339963i	$-0.889585\pi$
$13$	0.196040	−	0.858907i	0.0543717	−	0.238218i	0.994811	+	0.101745i	$0.0324426\pi$
$14$	0.0848347	+	0.176161i	0.0226730	+	0.0470811i
$15$	−0.491885	−	1.02141i	−0.127004	−	0.263727i
$16$	−2.05458	+	9.00172i	−0.513646	+	2.25043i
$17$			3.94108i			0.955854i	0.878400	+	0.477927i	$0.158612\pi$
$17$			3.94108i			0.955854i	−0.878400	+	0.477927i	$0.841388\pi$
$18$	7.12185	+	1.62552i	1.67864	+	0.383138i
$19$	−0.557928	+	0.444933i	−0.127997	+	0.102075i	−0.685396	−	0.728170i	$-0.740371\pi$
$19$	−0.557928	+	0.444933i	−0.127997	+	0.102075i	0.557399	+	0.830245i	$0.311800\pi$
$20$	−2.74047	−	12.0068i	−0.612788	−	2.68480i
$21$	−0.0321804	+	0.00734497i	−0.00702234	+	0.00160280i
$22$	6.13074	−	7.68771i	1.30708	−	1.63902i
$23$	−1.06102	+	0.510959i	−0.221237	+	0.106542i	−0.541220	−	0.840881i	$-0.682037\pi$
$23$	−1.06102	+	0.510959i	−0.221237	+	0.106542i	0.319982	+	0.947424i	$0.396323\pi$
$24$	−2.85622	−	1.37548i	−0.583024	−	0.280769i
$25$	1.03411	+	1.29673i	0.206822	+	0.259347i
$26$	1.79253	+	1.42950i	0.351545	+	0.280348i
$27$	−1.10694	+	2.29858i	−0.213030	+	0.442362i
$28$	−0.358578			−0.0677648
$29$	−0.719302	+	5.33691i	−0.133571	+	0.991039i
$29$	−0.719302	+	5.33691i	−0.133571	+	0.991039i
$30$	2.95033			0.538655
$31$	2.23488	−	4.64077i	0.401396	−	0.833508i	−0.598089	−	0.801430i	$-0.704073\pi$
$31$	2.23488	−	4.64077i	0.401396	−	0.833508i	0.999485	−	0.0320782i	$-0.0102126\pi$
$32$	−7.50351	−	5.98385i	−1.32645	−	1.05781i
$33$	1.03498	+	1.29782i	0.180167	+	0.225922i
$34$	−9.24073	−	4.45010i	−1.58477	−	0.763186i
$35$	0.174671	−	0.0841171i	0.0295248	−	0.0142184i
$36$	−8.35281	+	10.4741i	−1.39213	+	1.74568i
$37$	3.01010	−	0.687035i	0.494857	−	0.112948i	0.0321930	−	0.999482i	$-0.489751\pi$
$37$	3.01010	−	0.687035i	0.494857	−	0.112948i	0.462664	+	0.886534i	$0.346894\pi$
$38$	−0.413254	−	1.81058i	−0.0670386	−	0.293715i
$39$	−0.302612	+	0.241325i	−0.0484567	+	0.0386429i
$40$	18.1529	+	4.14328i	2.87023	+	0.655110i
$41$		−	6.67122i		−	1.04187i	−0.853596	−	0.520935i	$-0.825583\pi$
$41$		−	6.67122i		−	1.04187i	0.853596	−	0.520935i	$-0.174417\pi$
$42$	0.0191148	−	0.0837476i	0.00294948	−	0.0129225i
$43$	3.60715	+	7.49033i	0.550086	+	1.14226i	0.971859	+	0.235563i	$0.0756935\pi$
$43$	3.60715	+	7.49033i	0.550086	+	1.14226i	−0.421773	+	0.906701i	$0.638592\pi$
$44$	7.82420	+	16.2471i	1.17954	+	2.44934i
$45$	1.61176	−	7.06160i	0.240268	−	1.05268i
$46$		−	3.06474i		−	0.451871i
$47$	−10.3265	−	2.35695i	−1.50627	−	0.343797i	−0.611833	−	0.790987i	$-0.709567\pi$
$47$	−10.3265	−	2.35695i	−1.50627	−	0.343797i	−0.894439	+	0.447190i	$0.852425\pi$
$48$	3.17151	−	2.52919i	0.457768	−	0.365057i
$49$	1.55639	+	6.81899i	0.222341	+	0.974142i
$50$	−4.20815	+	0.960482i	−0.595122	+	0.135833i
$51$	1.07955	−	1.35372i	0.151168	−	0.189559i
$52$	−3.78832	+	1.82436i	−0.525346	+	0.252993i
$53$	−5.00585	−	2.41069i	−0.687607	−	0.331134i	0.0572487	−	0.998360i	$-0.481767\pi$
$53$	−5.00585	−	2.41069i	−0.687607	−	0.331134i	−0.744855	+	0.667226i	$0.767481\pi$
$54$	−4.13962	−	5.19091i	−0.563330	−	0.706394i
$55$	−7.62267	−	6.07887i	−1.02784	−	0.819675i
$56$	0.235221	−	0.488441i	0.0314327	−	0.0652707i
$57$	0.313519			0.0415267
$58$	−11.7013	−	7.71277i	−1.53646	−	1.01274i
$59$	9.91885			1.29132			0.645662	−	0.763623i	$-0.276582\pi$
$59$	9.91885			1.29132			0.645662	+	0.763623i	$0.276582\pi$
$60$	−2.34762	+	4.87488i	−0.303076	+	0.629344i
$61$	2.78906	+	2.22420i	0.357102	+	0.284779i	0.785564	−	0.618780i	$-0.212373\pi$
$61$	2.78906	+	2.22420i	0.357102	+	0.284779i	−0.428462	+	0.903560i	$0.640944\pi$
$62$	8.35778	+	10.4803i	1.06144	+	1.33100i
$63$	−0.190007	−	0.0915024i	−0.0239386	−	0.0115282i
$64$	5.86540	−	2.82463i	0.733175	−	0.353079i
$65$	1.41740	−	1.77737i	0.175807	−	0.220456i
$66$	−4.21168	+	0.961289i	−0.518422	+	0.118326i
$67$	1.09916	+	4.81572i	0.134283	+	0.588334i	0.996631	+	0.0820170i	$0.0261362\pi$
$67$	1.09916	+	4.81572i	0.134283	+	0.588334i	−0.862348	+	0.506317i	$0.831007\pi$
$68$	14.7059	−	11.7276i	1.78336	−	1.42218i
$69$	0.504411	+	0.115129i	0.0607240	+	0.0138599i
$70$			0.504535i			0.0603035i
$71$	1.09187	−	4.78379i	0.129581	−	0.567731i	−0.867896	−	0.496745i	$-0.834528\pi$
$71$	1.09187	−	4.78379i	0.129581	−	0.567731i	0.997477	−	0.0709858i	$-0.0226145\pi$
$72$	−8.78811	−	18.2487i	−1.03569	−	2.15063i
$73$	−3.86250	−	8.02056i	−0.452071	−	0.938736i	−0.995086	−	0.0990125i	$-0.968432\pi$
$73$	−3.86250	−	8.02056i	−0.452071	−	0.938736i	0.543015	−	0.839723i	$-0.317283\pi$
$74$	−1.78797	+	7.83360i	−0.207847	+	0.910637i
$75$		−	0.728681i		−	0.0841408i
$76$	3.32048	+	0.757878i	0.380885	+	0.0869346i
$77$	−0.221940	+	0.176991i	−0.0252924	+	0.0201700i
$78$	−0.224143	−	0.982034i	−0.0253792	−	0.111193i
$79$	12.8588	−	2.93495i	1.44673	−	0.330207i	0.574180	−	0.818729i	$-0.305321\pi$
$79$	12.8588	−	2.93495i	1.44673	−	0.330207i	0.872552	+	0.488522i	$0.162464\pi$
$80$	−14.8550	+	18.6276i	−1.66084	+	2.08263i
$81$	−6.57715	+	3.16739i	−0.730795	+	0.351932i
$82$	15.6421	+	7.53285i	1.72738	+	0.831865i
$83$	10.5908	+	13.2805i	1.16250	+	1.45772i	0.864128	+	0.503272i	$0.167871\pi$
$83$	10.5908	+	13.2805i	1.16250	+	1.45772i	0.298367	+	0.954451i	$0.403558\pi$
$84$	0.123167	+	0.0982228i	0.0134387	+	0.0107170i
$85$	−4.41245	+	9.16255i	−0.478598	+	0.993819i
$86$	−21.6357			−2.33304
$87$	1.70898	−	1.63614i	0.183221	−	0.175412i
$88$	−27.2637			−2.90632
$89$	2.94891	−	6.12348i	0.312584	−	0.649088i	−0.684194	−	0.729300i	$-0.739846\pi$
$89$	2.94891	−	6.12348i	0.312584	−	0.649088i	0.996778	+	0.0802128i	$0.0255600\pi$
$90$	14.7375	+	11.7528i	1.55347	+	1.23885i
$91$	−0.0412689	−	0.0517495i	−0.00432615	−	0.00542482i
$92$	5.06391	+	2.43865i	0.527949	+	0.254247i
$93$	−2.03887	+	0.981869i	−0.211421	+	0.101815i
$94$	17.1866	−	21.5513i	1.77266	−	2.22285i
$95$	−1.79526	+	0.409757i	−0.184190	+	0.0420402i
$96$	0.938257	+	4.11077i	0.0957605	+	0.419554i
$97$	−8.92624	+	7.11844i	−0.906323	+	0.722768i	−0.961237	−	0.275723i	$-0.911083\pi$
$97$	−8.92624	+	7.11844i	−0.906323	+	0.722768i	0.0549144	+	0.998491i	$0.482511\pi$
$98$	−17.7460	−	4.05041i	−1.79262	−	0.409153i
$99$			10.6058i			1.06592i
$100$	1.76146	−	7.71745i	0.176146	−	0.771745i
$101$	−4.09511	−	8.50358i	−0.407479	−	0.846138i	−0.999200	−	0.0399953i	$-0.987266\pi$
$101$	−4.09511	−	8.50358i	−0.407479	−	0.846138i	0.591721	−	0.806143i	$-0.298449\pi$
$102$	1.95510	+	4.05981i	0.193584	+	0.401981i
$103$	2.04345	−	8.95293i	0.201347	−	0.882158i	−0.768771	−	0.639524i	$-0.779131\pi$
$103$	2.04345	−	8.95293i	0.201347	−	0.882158i	0.970118	−	0.242634i	$-0.0780115\pi$
$104$		−	6.35706i		−	0.623361i
$105$	−0.0830391	−	0.0189531i	−0.00810379	−	0.00184964i
$106$	11.3048	−	9.01526i	1.09802	−	0.875639i
$107$	1.08328	+	4.74615i	0.104724	+	0.458827i	0.999914	+	0.0131412i	$0.00418308\pi$
$107$	1.08328	+	4.74615i	0.104724	+	0.458827i	−0.895189	+	0.445686i	$0.852960\pi$
$108$	11.8710	−	2.70947i	1.14228	−	0.260719i
$109$	−2.70235	+	3.38864i	−0.258838	+	0.324573i	−0.894222	−	0.447624i	$-0.852270\pi$
$109$	−2.70235	+	3.38864i	−0.258838	+	0.324573i	0.635384	+	0.772196i	$0.280842\pi$
$110$	22.8604	−	11.0090i	2.17966	−	1.04967i
$111$	−1.22213	−	0.588547i	−0.115999	−	0.0558624i
$112$	0.432516	+	0.542358i	0.0408689	+	0.0512480i
$113$	−3.53629	−	2.82010i	−0.332667	−	0.265293i	0.442883	−	0.896579i	$-0.353956\pi$
$113$	−3.53629	−	2.82010i	−0.332667	−	0.265293i	−0.775550	+	0.631287i	$0.782527\pi$
$114$	−0.354012	+	0.735115i	−0.0331563	+	0.0688498i
$115$	−3.03881			−0.283371
$116$	22.0548	−	13.1971i	2.04774	−	1.22532i
$117$	−2.47294			−0.228623
$118$	−11.1999	+	23.2569i	−1.03104	+	2.14097i
$119$	0.231499	+	0.184614i	0.0212215	+	0.0169235i
$120$	−5.10038	−	6.39567i	−0.465599	−	0.583842i
$121$	2.95155	+	1.42139i	0.268323	+	0.129217i
$122$	−8.36439	+	4.02808i	−0.757277	+	0.364685i
$123$	−1.82740	+	2.29149i	−0.164771	+	0.206617i
$124$	−23.9672	+	5.47035i	−2.15232	+	0.491252i
$125$	−1.91863	−	8.40609i	−0.171608	−	0.751863i
$126$	0.429095	−	0.342192i	0.0382268	−	0.0304848i
$127$	−5.69126	−	1.29899i	−0.505018	−	0.115267i	−0.0375812	−	0.999294i	$-0.511965\pi$
$127$	−5.69126	−	1.29899i	−0.505018	−	0.115267i	−0.467437	+	0.884027i	$0.654822\pi$
$128$		−	2.25255i		−	0.199099i
$129$	0.812759	−	3.56093i	0.0715594	−	0.313522i
$130$	2.56696	+	5.33034i	0.225137	+	0.467502i
$131$	−2.87422	−	5.96839i	−0.251122	−	0.521460i	0.736857	−	0.676049i	$-0.236309\pi$
$131$	−2.87422	−	5.96839i	−0.251122	−	0.521460i	−0.987979	+	0.154588i	$0.950595\pi$
$132$	1.76294	−	7.72393i	0.153444	−	0.672282i
$133$			0.0536148i			0.00464899i
$134$	−12.5326	−	2.86049i	−1.08265	−	0.247109i
$135$	−5.14700	+	4.10459i	−0.442983	+	0.353267i
$136$	6.32804	+	27.7250i	0.542625	+	2.37740i
$137$	1.51972	−	0.346867i	0.129839	−	0.0296349i	−0.157108	−	0.987581i	$-0.550217\pi$
$137$	1.51972	−	0.346867i	0.129839	−	0.0296349i	0.286946	+	0.957947i	$0.407360\pi$
$138$	−0.839503	+	1.05270i	−0.0714633	+	0.0896121i
$139$	−9.58773	+	4.61721i	−0.813221	+	0.391626i	−0.793795	−	0.608185i	$-0.791898\pi$
$139$	−9.58773	+	4.61721i	−0.813221	+	0.391626i	−0.0194253	+	0.999811i	$0.506184\pi$
$140$	−0.833650	−	0.401465i	−0.0704563	−	0.0339300i
$141$	2.90141	+	3.63825i	0.244343	+	0.306396i
$142$	9.98374	+	7.96176i	0.837817	+	0.668136i
$143$	−1.44427	+	2.99907i	−0.120776	+	0.250795i
$144$	25.9175			2.15979
$145$	−7.64752	+	11.6023i	−0.635092	+	0.963522i
$146$	23.1673			1.91734
$147$	1.33328	−	2.76858i	0.109967	−	0.228349i
$148$	−11.5209	−	9.18757i	−0.947008	−	0.755214i
$149$	−3.38712	−	4.24732i	−0.277484	−	0.347954i	0.623487	−	0.781834i	$-0.285716\pi$
$149$	−3.38712	−	4.24732i	−0.277484	−	0.347954i	−0.900971	+	0.433880i	$0.857144\pi$
$150$	1.70855	+	0.822794i	0.139503	+	0.0671809i
$151$	16.0749	−	7.74125i	1.30816	−	0.629974i	0.355685	−	0.934606i	$-0.384248\pi$
$151$	16.0749	−	7.74125i	1.30816	−	0.629974i	0.952470	+	0.304632i	$0.0985333\pi$
$152$	−3.21053	+	4.02588i	−0.260408	+	0.326542i
$153$	10.7852	−	2.46165i	0.871931	−	0.199013i
$154$	−0.164390	−	0.720238i	−0.0132469	−	0.0580384i
$155$	10.3917	−	8.28707i	0.834678	−	0.665634i
$156$	1.80098	+	0.411062i	0.144194	+	0.0329113i
$157$		−	9.46360i		−	0.755278i	−0.925953	−	0.377639i	$-0.876736\pi$
$157$		−	9.46360i		−	0.755278i	0.925953	−	0.377639i	$-0.123264\pi$
$158$	−7.63802	+	33.4643i	−0.607648	+	2.66228i
$159$	1.05911	+	2.19926i	0.0839929	+	0.174413i
$160$	−10.7452	−	22.3127i	−0.849485	−	1.76397i
$161$	−0.0196881	+	0.0862591i	−0.00155164	+	0.00679817i
$162$		−	18.9980i		−	1.49263i
$163$	10.1956	+	2.32707i	0.798579	+	0.182270i	0.602292	−	0.798276i	$-0.294254\pi$
$163$	10.1956	+	2.32707i	0.798579	+	0.182270i	0.196287	+	0.980546i	$0.437112\pi$
$164$	−24.8933	+	19.8517i	−1.94384	+	1.55016i
$165$	0.953157	+	4.17605i	0.0742031	+	0.325105i
$166$	−43.0977	+	9.83677i	−3.34503	+	0.763481i
$167$	−0.106265	+	0.133252i	−0.00822305	+	0.0103114i	−0.785926	−	0.618321i	$-0.787813\pi$
$167$	−0.106265	+	0.133252i	−0.00822305	+	0.0103114i	0.777703	+	0.628632i	$0.216385\pi$
$168$	−0.214591	+	0.103342i	−0.0165561	+	0.00797298i
$169$	11.0133	+	5.30373i	0.847177	+	0.407979i
$170$	−16.5012	−	20.6919i	−1.26559	−	1.58700i
$171$	1.56609	+	1.24892i	0.119762	+	0.0955071i
$172$	17.2158	−	35.7491i	1.31270	−	2.72584i
$173$	12.0694			0.917616			0.458808	−	0.888535i	$-0.348277\pi$
$173$	12.0694			0.917616			0.458808	+	0.888535i	$0.348277\pi$
$174$	1.90657	+	5.85452i	0.144537	+	0.443830i
$175$	0.124611			0.00941973
$176$	15.1366	−	31.4315i	1.14097	−	2.36924i
$177$	−3.40701	−	2.71700i	−0.256087	−	0.204222i
$178$	11.0280	+	13.8287i	0.826587	+	1.03651i
$179$	−1.50897	−	0.726681i	−0.112786	−	0.0543147i	0.376640	−	0.926360i	$-0.377079\pi$
$179$	−1.50897	−	0.726681i	−0.112786	−	0.0543147i	−0.489426	+	0.872045i	$0.662794\pi$
$180$	−31.1461	+	14.9992i	−2.32149	+	1.11797i
$181$	−9.57845	+	12.0110i	−0.711961	+	0.892770i	−0.997853	−	0.0654914i	$-0.979139\pi$
$181$	−9.57845	+	12.0110i	−0.711961	+	0.892770i	0.285893	+	0.958262i	$0.407710\pi$
$182$	0.167937	−	0.0383305i	0.0124483	−	0.00284125i
$183$	−0.348750	−	1.52797i	−0.0257804	−	0.112951i
$184$	−6.64368	+	5.29816i	−0.489778	+	0.390585i
$185$	7.76732	+	1.77284i	0.571065	+	0.130342i
$186$		−	5.88926i		−	0.431822i
$187$	3.31352	−	14.5175i	0.242309	−	1.06162i
$188$	21.9339	+	45.5463i	1.59970	+	3.32180i
$189$	0.0831655	+	0.172695i	0.00604940	+	0.0125617i
$190$	1.06637	−	4.67207i	0.0773625	−	0.338947i
$191$			20.4783i			1.48176i	0.671640	+	0.740878i	$0.265590\pi$
$191$			20.4783i			1.48176i	−0.671640	+	0.740878i	$0.734410\pi$
$192$	−2.78843	−	0.636441i	−0.201238	−	0.0459312i
$193$	2.45058	−	1.95427i	0.176396	−	0.140671i	−0.531312	−	0.847176i	$-0.678301\pi$
$193$	2.45058	−	1.95427i	0.176396	−	0.140671i	0.707708	+	0.706505i	$0.249729\pi$
$194$	−6.61161	−	28.9674i	−0.474686	−	2.07973i
$195$	−0.973726	+	0.222247i	−0.0697299	+	0.0159154i
$196$	20.8133	−	26.0990i	1.48666	−	1.86422i
$197$	−2.55911	+	1.23240i	−0.182329	+	0.0878051i	−0.522821	−	0.852442i	$-0.675121\pi$
$197$	−2.55911	+	1.23240i	−0.182329	+	0.0878051i	0.340492	+	0.940247i	$0.389406\pi$
$198$	−24.8675	−	11.9756i	−1.76726	−	0.851067i
$199$	−11.9204	−	14.9478i	−0.845018	−	1.05962i	−0.997454	−	0.0713059i	$-0.977283\pi$
$199$	−11.9204	−	14.9478i	−0.845018	−	1.05962i	0.152436	−	0.988313i	$-0.451288\pi$
$200$	9.35693	+	7.46190i	0.661635	+	0.527636i
$201$	0.941589	−	1.95523i	0.0664146	−	0.137911i
$202$	24.5625			1.72821
$203$	0.279795	+	0.292251i	0.0196377	+	0.0205120i
$204$	−8.26378			−0.578580
$205$	7.46913	−	15.5098i	0.521666	−	1.08325i
$206$	18.6847	+	14.9006i	1.30183	+	1.03817i
$207$	2.06102	+	2.58443i	0.143251	+	0.179631i
$208$	7.32886	+	3.52939i	0.508165	+	0.244719i
$209$	2.42928	−	1.16988i	0.168037	−	0.0809223i
$210$	0.138204	−	0.173302i	0.00953697	−	0.0119590i
$211$	−17.4449	+	3.98169i	−1.20096	+	0.274111i	−0.775783	−	0.631000i	$-0.782645\pi$
$211$	−17.4449	+	3.98169i	−1.20096	+	0.274111i	−0.425176	+	0.905111i	$0.639788\pi$
$212$	5.90069	+	25.8526i	0.405261	+	1.77556i
$213$	−1.68543	+	1.34409i	−0.115484	+	0.0920955i
$214$	−12.3516	−	2.81916i	−0.844335	−	0.192714i
$215$			21.4527i			1.46306i
$216$	−4.09641	+	17.9475i	−0.278725	+	1.22118i
$217$	−0.167909	−	0.348666i	−0.0113984	−	0.0236690i
$218$	−4.89402	−	10.1625i	−0.331465	−	0.688294i
$219$	−0.870293	+	3.81300i	−0.0588089	+	0.257659i
$220$			46.5326i			3.13723i
$221$	3.38503	+	0.772610i	0.227701	+	0.0519714i
$222$	2.75995	−	2.20099i	0.185236	−	0.147721i
$223$	−3.94548	−	17.2863i	−0.264209	−	1.15758i	−0.916636	−	0.399724i	$-0.869106\pi$
$223$	−3.94548	−	17.2863i	−0.264209	−	1.15758i	0.652426	−	0.757852i	$-0.273751\pi$
$224$	−0.702981	+	0.160451i	−0.0469699	+	0.0107206i
$225$	2.90273	−	3.63991i	0.193515	−	0.242661i
$226$	10.6054	−	5.10728i	0.705458	−	0.339731i
$227$	−20.0120	−	9.63726i	−1.32824	−	0.639648i	−0.370918	−	0.928665i	$-0.620957\pi$
$227$	−20.0120	−	9.63726i	−1.32824	−	0.639648i	−0.957324	+	0.289018i	$0.906671\pi$
$228$	−0.932948	−	1.16988i	−0.0617860	−	0.0774772i
$229$	7.79339	+	6.21502i	0.515002	+	0.410700i	0.846204	−	0.532860i	$-0.178883\pi$
$229$	7.79339	+	6.21502i	0.515002	+	0.410700i	−0.331202	+	0.943560i	$0.607454\pi$
$230$	3.43129	−	7.12515i	0.226253	−	0.469819i
$231$	0.124716			0.00820571
$232$	3.50907	+	38.6993i	0.230382	+	2.54074i
$233$	−20.0765			−1.31525			−0.657627	−	0.753344i	$-0.728440\pi$
$233$	−20.0765			−1.31525			−0.657627	+	0.753344i	$0.728440\pi$
$234$	2.79233	−	5.79834i	0.182541	−	0.379049i
$235$	−21.3690	−	17.0412i	−1.39396	−	1.11164i
$236$	−29.5158	−	37.0116i	−1.92131	−	2.40925i
$237$	−5.22082	−	2.51421i	−0.339128	−	0.163316i
$238$	−0.694266	+	0.334341i	−0.0450026	+	0.0216721i
$239$	−0.736250	+	0.923228i	−0.0476240	+	0.0597187i	−0.805073	−	0.593176i	$-0.797874\pi$
$239$	−0.736250	+	0.923228i	−0.0476240	+	0.0597187i	0.757449	+	0.652894i	$0.226445\pi$
$240$	10.2051	−	2.32924i	0.658734	−	0.150352i
$241$	2.63267	+	11.5345i	0.169585	+	0.743002i	0.986165	+	0.165769i	$0.0530106\pi$
$241$	2.63267	+	11.5345i	0.169585	+	0.743002i	−0.816579	+	0.577233i	$0.804132\pi$
$242$	−6.66552	+	5.31558i	−0.428476	+	0.341698i
$243$	10.5886	+	2.41678i	0.679259	+	0.155036i
$244$		−	17.0258i		−	1.08997i
$245$	−4.01615	+	17.5959i	−0.256582	+	1.12416i
$246$	−3.30947	−	6.87220i	−0.211004	−	0.438155i
$247$	0.272780	+	0.566433i	0.0173566	+	0.0360413i
$248$	8.27055	−	36.2356i	0.525180	−	2.30096i
$249$		−	7.46278i		−	0.472934i
$250$	21.8763	+	4.99313i	1.38358	+	0.315793i
$251$	5.99272	−	4.77903i	0.378257	−	0.301650i	−0.415844	−	0.909436i	$-0.636514\pi$
$251$	5.99272	−	4.77903i	0.378257	−	0.301650i	0.794101	+	0.607786i	$0.207942\pi$
$252$	0.223972	+	0.981285i	0.0141089	+	0.0618152i
$253$	4.33799	−	0.990117i	0.272727	−	0.0622481i
$254$	9.47210	−	11.8776i	0.594332	−	0.745269i
$255$	4.02547	−	1.93856i	0.252084	−	0.121397i
$256$	17.0124	+	8.19274i	1.06328	+	0.512046i
$257$	7.09081	+	8.89160i	0.442313	+	0.554643i	0.952151	−	0.305627i	$-0.0988662\pi$
$257$	7.09081	+	8.89160i	0.442313	+	0.554643i	−0.509838	+	0.860270i	$0.670295\pi$
$258$	7.43164	+	5.92653i	0.462674	+	0.368970i
$259$	0.100647	−	0.208996i	0.00625390	−	0.0129864i
$260$	−10.8500			−0.672886
$261$	15.0543	−	1.36505i	0.931838	−	0.0844946i
$262$	17.2396			1.06507
$263$	−7.26601	+	15.0880i	−0.448041	+	0.930367i	0.547568	+	0.836761i	$0.315554\pi$
$263$	−7.26601	+	15.0880i	−0.448041	+	0.930367i	−0.995609	+	0.0936061i	$0.970161\pi$
$264$	9.36479	+	7.46817i	0.576363	+	0.459634i
$265$	−8.93899	−	11.2091i	−0.549118	−	0.688572i
$266$	−0.125712	−	0.0605395i	−0.00770787	−	0.00371191i
$267$	−2.69028	+	1.29557i	−0.164643	+	0.0792877i
$268$	14.6988	−	18.4317i	0.897871	−	1.12590i
$269$	21.3838	−	4.88070i	1.30379	−	0.297582i	0.486436	−	0.873716i	$-0.338297\pi$
$269$	21.3838	−	4.88070i	1.30379	−	0.297582i	0.817355	+	0.576135i	$0.195440\pi$
$270$	−3.81235	−	16.7030i	−0.232012	−	1.01651i
$271$	−5.11655	+	4.08031i	−0.310808	+	0.247861i	−0.766453	−	0.642300i	$-0.777980\pi$
$271$	−5.11655	+	4.08031i	−0.310808	+	0.247861i	0.455645	+	0.890162i	$0.349409\pi$
$272$	−35.4765	−	8.09729i	−2.15108	−	0.490970i
$273$			0.0290799i			0.00176000i
$274$	−0.902701	+	3.95499i	−0.0545342	+	0.238930i
$275$	−2.71903	−	5.64612i	−0.163964	−	0.340474i
$276$	−1.07139	−	2.22477i	−0.0644903	−	0.133916i
$277$	−4.79035	+	20.9879i	−0.287824	+	1.26104i	0.599679	+	0.800240i	$0.295295\pi$
$277$	−4.79035	+	20.9879i	−0.287824	+	1.26104i	−0.887504	+	0.460801i	$0.847562\pi$
$278$		−	27.6941i		−	1.66098i
$279$	−14.0959	−	3.21730i	−0.843899	−	0.192615i
$280$	1.09372	−	0.872213i	0.0653623	−	0.0521247i
$281$	1.93530	+	8.47909i	0.115450	+	0.505820i	0.999277	+	0.0380069i	$0.0121009\pi$
$281$	1.93530	+	8.47909i	0.115450	+	0.505820i	−0.883827	+	0.467813i	$0.845042\pi$
$282$	−11.8068	+	2.69483i	−0.703085	+	0.160475i
$283$	−13.7097	+	17.1914i	−0.814957	+	1.02192i	0.184280	+	0.982874i	$0.441005\pi$
$283$	−13.7097	+	17.1914i	−0.814957	+	1.02192i	−0.999237	+	0.0390501i	$0.987567\pi$
$284$	−21.0995	+	10.1610i	−1.25203	+	0.602944i
$285$	0.728895	+	0.351018i	0.0431760	+	0.0207925i
$286$	−5.40115	−	6.77283i	−0.319377	−	0.400486i
$287$	−0.391867	−	0.312503i	−0.0231312	−	0.0184465i
$288$	−11.6887	+	24.2717i	−0.688760	+	1.43023i
$289$	1.46785			0.0863441
$290$	−18.5690	−	31.0321i	−1.09041	−	1.82227i
$291$	5.01597			0.294042
$292$	−18.4345	+	38.2797i	−1.07880	+	2.24015i
$293$	−1.74043	−	1.38795i	−0.101677	−	0.0810847i	0.571332	−	0.820719i	$-0.306427\pi$
$293$	−1.74043	−	1.38795i	−0.101677	−	0.0810847i	−0.673009	+	0.739635i	$0.734998\pi$
$294$	4.98606	+	6.25232i	0.290793	+	0.364643i
$295$	23.0601	+	11.1052i	1.34261	+	0.646568i
$296$	20.0724	−	9.66638i	1.16669	−	0.561847i
$297$	6.01011	−	7.53644i	0.348742	−	0.437308i
$298$	13.7834	−	3.14596i	0.798448	−	0.182241i
$299$	0.230865	+	1.01148i	0.0133512	+	0.0584956i
$300$	−2.71903	+	2.16835i	−0.156983	+	0.125190i
$301$	0.608952	+	0.138989i	0.0350994	+	0.00801122i
$302$			46.4321i			2.67187i
$303$	−0.922704	+	4.04263i	−0.0530080	+	0.232243i
$304$	−2.85885	−	5.93646i	−0.163966	−	0.340480i
$305$	3.99400	+	8.29363i	0.228696	+	0.474892i
$306$	−6.40629	+	28.0678i	−0.366224	+	1.60453i
$307$		−	13.8760i		−	0.791945i	−0.918262	−	0.395972i	$-0.870408\pi$
$307$		−	13.8760i		−	0.791945i	0.918262	−	0.395972i	$-0.129592\pi$
$308$	1.32087	+	0.301479i	0.0752633	+	0.0171784i
$309$	−3.15432	+	2.51548i	−0.179443	+	0.143101i
$310$	7.69703	+	33.7229i	0.437162	+	1.91533i
$311$	−1.37676	+	0.314237i	−0.0780691	+	0.0178188i	−0.261377	−	0.965237i	$-0.584177\pi$
$311$	−1.37676	+	0.314237i	−0.0780691	+	0.0178188i	0.183308	+	0.983056i	$0.441319\pi$
$312$	−1.74135	+	2.18358i	−0.0985843	+	0.123621i
$313$	25.9017	−	12.4736i	1.46405	−	0.705049i	0.479080	−	0.877771i	$-0.340971\pi$
$313$	25.9017	−	12.4736i	1.46405	−	0.705049i	0.984971	+	0.172722i	$0.0552562\pi$
$314$	22.1895	+	10.6859i	1.25222	+	0.603039i
$315$	−0.339297	−	0.425465i	−0.0191172	−	0.0239722i
$316$	−49.2159	−	39.2484i	−2.76861	−	2.20790i
$317$	9.68440	−	20.1099i	0.543930	−	1.12948i	−0.430041	−	0.902809i	$-0.641501\pi$
$317$	9.68440	−	20.1099i	0.543930	−	1.12948i	0.973971	−	0.226673i	$-0.0727848\pi$
$318$	−6.35255			−0.356234
$319$	7.13672	−	19.0544i	0.399579	−	1.06684i
$320$	16.7988			0.939083
$321$	0.927986	−	1.92698i	0.0517951	−	0.107554i
$322$	−0.180022	−	0.143563i	−0.0100323	−	0.00800045i
$323$	−1.75352	−	2.19884i	−0.0975683	−	0.122347i
$324$	31.3907	+	15.1170i	1.74393	+	0.839832i
$325$	1.31650	−	0.633993i	0.0730263	−	0.0351676i
$326$	−16.9687	+	21.2781i	−0.939811	+	1.17849i
$327$	1.85645	−	0.423723i	0.102662	−	0.0234320i
$328$	−10.7117	−	46.9311i	−0.591455	−	2.59134i
$329$	−0.622175	+	0.496168i	−0.0343016	+	0.0273546i
$330$	−10.8679	−	2.48053i	−0.598259	−	0.136549i
$331$		−	9.34951i		−	0.513895i	−0.966425	−	0.256948i	$-0.917283\pi$
$331$		−	9.34951i		−	0.513895i	0.966425	−	0.256948i	$-0.0827168\pi$
$332$	18.0400	−	79.0382i	0.990071	−	4.33778i
$333$	−3.76029	−	7.80831i	−0.206062	−	0.427893i
$334$	−0.192449	−	0.399625i	−0.0105304	−	0.0218665i
$335$	−2.83629	+	12.4266i	−0.154963	+	0.678937i
$336$		−	0.304770i		−	0.0166266i
$337$	−15.0442	−	3.43373i	−0.819508	−	0.187047i	−0.207841	−	0.978163i	$-0.566644\pi$
$337$	−15.0442	−	3.43373i	−0.819508	−	0.187047i	−0.611667	+	0.791115i	$0.709501\pi$
$338$	−24.8715	+	19.8344i	−1.35283	+	1.07885i
$339$	0.442187	+	1.93735i	0.0240163	+	0.105222i
$340$	47.3198	−	10.8004i	2.56628	−	0.585736i
$341$	−12.1342	+	15.2159i	−0.657106	+	0.823985i
$342$	−4.69672	+	2.26182i	−0.253970	+	0.122305i
$343$	0.947289	+	0.456190i	0.0511488	+	0.0246320i
$344$	37.4027	+	46.9015i	2.01662	+	2.52876i
$345$	1.04380	+	0.832401i	0.0561962	+	0.0448150i
$346$	−13.6282	+	28.2992i	−0.732656	+	1.52138i
$347$	9.39939			0.504586			0.252293	−	0.967651i	$-0.418815\pi$
$347$	9.39939			0.504586			0.252293	+	0.967651i	$0.418815\pi$
$348$	−11.1906	−	1.50825i	−0.599878	−	0.0808509i
$349$	−24.5072			−1.31184			−0.655921	−	0.754830i	$-0.727720\pi$
$349$	−24.5072			−1.31184			−0.655921	+	0.754830i	$0.727720\pi$
$350$	−0.140706	+	0.292178i	−0.00752103	+	0.0156176i
$351$	1.75726	+	1.40137i	0.0937957	+	0.0747996i
$352$	22.6091	+	28.3509i	1.20507	+	1.51111i
$353$	−21.7562	−	10.4772i	−1.15796	−	0.557646i	−0.246548	−	0.969131i	$-0.579296\pi$
$353$	−21.7562	−	10.4772i	−1.15796	−	0.557646i	−0.911417	+	0.411484i	$0.865010\pi$
$354$	10.2177	−	4.92056i	0.543062	−	0.261525i
$355$	7.89441	−	9.89928i	0.418992	−	0.525399i
$356$	−31.6246	+	7.21810i	−1.67610	+	0.382559i
$357$	−0.0289472	−	0.126826i	−0.00153205	−	0.00671233i
$358$	3.40772	−	2.71757i	0.180104	−	0.143628i
$359$	14.8629	+	3.39237i	0.784436	+	0.179042i	0.595937	−	0.803031i	$-0.296781\pi$
$359$	14.8629	+	3.39237i	0.784436	+	0.179042i	0.188499	+	0.982073i	$0.439638\pi$
$360$		−	52.2653i		−	2.75462i
$361$	−4.11458	+	18.0271i	−0.216557	+	0.948797i
$362$	−17.3468	−	36.0210i	−0.911729	−	1.89322i
$363$	−0.624472	−	1.29673i	−0.0327763	−	0.0680607i
$364$	−0.0702955	+	0.307985i	−0.00368449	+	0.0161428i
$365$		−	22.9713i		−	1.20237i
$366$	3.97646	+	0.907601i	0.207853	+	0.0474411i
$367$	10.0090	−	7.98194i	0.522467	−	0.416654i	−0.326422	−	0.945224i	$-0.605843\pi$
$367$	10.0090	−	7.98194i	0.522467	−	0.416654i	0.848889	+	0.528570i	$0.177272\pi$
$368$	−2.41956	−	10.6008i	−0.126128	−	0.552604i
$369$	−18.2565	+	4.16693i	−0.950395	+	0.216922i
$370$	−12.9273	+	16.2104i	−0.672060	+	0.842737i
$371$	−0.376095	+	0.181118i	−0.0195259	+	0.00940317i
$372$	9.73091	+	4.68616i	0.504524	+	0.242966i
$373$	−0.0122046	−	0.0153041i	−0.000631929	−	0.000792414i	0.781515	−	0.623886i	$-0.214447\pi$
$373$	−0.0122046	−	0.0153041i	−0.000631929	−	0.000792414i	−0.782147	+	0.623094i	$0.785876\pi$
$374$	30.2979	+	24.1618i	1.56667	+	1.24938i
$375$	−1.64359	+	3.41296i	−0.0848748	+	0.176244i
$376$	−76.4297			−3.94156
$377$	4.44290	+	1.66406i	0.228821	+	0.0857035i
$378$	−0.498827			−0.0256569
$379$	−2.27170	+	4.71723i	−0.116689	+	0.242308i	−0.951130	−	0.308789i	$-0.900076\pi$
$379$	−2.27170	+	4.71723i	−0.116689	+	0.242308i	0.834441	+	0.551097i	$0.185791\pi$
$380$	6.87120	+	5.47960i	0.352485	+	0.281098i
$381$	1.59906	+	2.00516i	0.0819224	+	0.102727i
$382$	−48.0158	−	23.1232i	−2.45670	−	1.18308i
$383$	−0.247625	+	0.119250i	−0.0126531	+	0.00609340i	−0.440200	−	0.897900i	$-0.645092\pi$
$383$	−0.247625	+	0.119250i	−0.0126531	+	0.00609340i	0.427547	+	0.903993i	$0.359378\pi$
$384$	−0.617026	+	0.773727i	−0.0314875	+	0.0394841i
$385$	−0.714144	+	0.162999i	−0.0363962	+	0.00830719i
$386$	1.81513	+	7.95259i	0.0923875	+	0.404776i
$387$	18.2450	−	14.5499i	0.927446	−	0.739613i
$388$	53.1241	+	12.1252i	2.69697	+	0.615565i
$389$			7.53699i			0.382140i	0.981576	+	0.191070i	$0.0611958\pi$
$389$			7.53699i			0.382140i	−0.981576	+	0.191070i	$0.938804\pi$
$390$	0.578383	−	2.53406i	0.0292876	−	0.128317i
$391$	−2.01373	−	4.18156i	−0.101839	−	0.211471i
$392$	21.8980	+	45.4716i	1.10601	+	2.29666i
$393$	−0.647616	+	2.83739i	−0.0326679	+	0.143127i
$394$		−	7.39197i		−	0.372402i
$395$	33.1812	+	7.57340i	1.66953	+	0.381059i
$396$	39.5748	−	31.5599i	1.98871	−	1.58594i
$397$	−3.72376	−	16.3149i	−0.186890	−	0.818819i	−0.978243	−	0.207460i	$-0.933480\pi$
$397$	−3.72376	−	16.3149i	−0.186890	−	0.818819i	0.791353	−	0.611359i	$-0.209377\pi$
$398$	48.5083	−	11.0717i	2.43150	−	0.554975i
$399$	0.0146863	−	0.0184161i	0.000735237	−	0.000921958i
$400$	−13.7975	+	6.64453i	−0.689875	+	0.332226i
$401$	7.25954	+	3.49601i	0.362524	+	0.174582i	0.606274	−	0.795256i	$-0.292663\pi$
$401$	7.25954	+	3.49601i	0.362524	+	0.174582i	−0.243750	+	0.969838i	$0.578378\pi$
$402$	3.52126	+	4.41552i	0.175625	+	0.220226i
$403$	−3.54787	−	2.82933i	−0.176732	−	0.140939i
$404$	−19.5447	+	40.5850i	−0.972385	+	2.01918i
$405$	−18.8373			−0.936034
$406$	−1.00118	+	0.326042i	−0.0496876	+	0.0161812i
$407$	−11.6657			−0.578247
$408$	5.42090	−	11.2566i	0.268374	−	0.557285i
$409$	−7.43022	−	5.92540i	−0.367401	−	0.292992i	0.422335	−	0.906440i	$-0.361211\pi$
$409$	−7.43022	−	5.92540i	−0.367401	−	0.292992i	−0.789735	+	0.613448i	$0.789782\pi$
$410$	27.9323	+	35.0260i	1.37948	+	1.72981i
$411$	−0.617024	−	0.297143i	−0.0304355	−	0.0146570i
$412$	−39.4881	+	19.0165i	−1.94544	+	0.936874i
$413$	0.464633	−	0.582631i	0.0228631	−	0.0286694i
$414$	−8.38698	+	1.91427i	−0.412198	+	0.0940814i
$415$	9.75355	+	42.7331i	0.478783	+	2.09769i
$416$	−6.61056	+	5.27175i	−0.324109	+	0.258469i
$417$	4.55804	+	1.04034i	0.223208	+	0.0509458i
$418$			7.01695i			0.343210i
$419$	5.17317	−	22.6651i	0.252726	−	1.10726i	−0.676118	−	0.736793i	$-0.736339\pi$
$419$	5.17317	−	22.6651i	0.252726	−	1.10726i	0.928844	−	0.370471i	$-0.120804\pi$
$420$	0.176379	+	0.366255i	0.00860642	+	0.0178714i
$421$	7.57266	+	15.7248i	0.369069	+	0.766380i	0.999955	−	0.00949580i	$-0.00302265\pi$
$421$	7.57266	+	15.7248i	0.369069	+	0.766380i	−0.630886	+	0.775876i	$0.717308\pi$
$422$	10.3621	−	45.3994i	0.504420	−	2.21001i
$423$			29.7317i			1.44560i
$424$	−39.0862	−	8.92117i	−1.89819	−	0.433250i
$425$	−5.11054	+	4.07552i	−0.247898	+	0.197692i
$426$	−1.24839	−	5.46956i	−0.0604847	−	0.265001i
$427$	0.261298	−	0.0596396i	0.0126451	−	0.00288616i
$428$	14.4864	−	18.1654i	0.700228	−	0.878058i
$429$	1.31761	−	0.634526i	0.0636146	−	0.0306352i
$430$	−50.3005	−	24.2235i	−2.42571	−	1.16816i
$431$	−20.4411	−	25.6323i	−0.984613	−	1.23467i	−0.972057	−	0.234744i	$-0.924575\pi$
$431$	−20.4411	−	25.6323i	−0.984613	−	1.23467i	−0.0125555	−	0.999921i	$-0.503997\pi$
$432$	−18.4169	−	14.6870i	−0.886083	−	0.706627i
$433$	2.17847	−	4.52364i	0.104691	−	0.217392i	−0.842043	−	0.539411i	$-0.818647\pi$
$433$	2.17847	−	4.52364i	0.104691	−	0.217392i	0.946733	+	0.322018i	$0.104361\pi$
$434$	1.00712			0.0483433
$435$	5.80499	−	1.89044i	0.278328	−	0.0906399i
$436$	20.6859			0.990677
$437$	0.364629	−	0.757160i	0.0174426	−	0.0362199i
$438$	−7.95771	−	6.34606i	−0.380234	−	0.303227i
$439$	13.3234	+	16.7070i	0.635892	+	0.797383i	0.990483	−	0.137638i	$-0.0439512\pi$
$439$	13.3234	+	16.7070i	0.635892	+	0.797383i	−0.354591	+	0.935022i	$0.615380\pi$
$440$	−63.3850	−	30.5246i	−3.02176	−	1.45520i
$441$	17.6887	−	8.51845i	0.842321	−	0.405641i
$442$	−5.63377	+	7.06453i	−0.267971	+	0.336025i
$443$	−38.8306	+	8.86283i	−1.84490	+	0.421086i	−0.994471	−	0.105010i	$-0.966512\pi$
$443$	−38.8306	+	8.86283i	−1.84490	+	0.421086i	−0.850425	+	0.526096i	$0.823655\pi$
$444$	1.44059	+	6.31166i	0.0683676	+	0.299538i
$445$	13.7117	−	10.9347i	0.649999	−	0.518357i
$446$	44.9866	+	10.2679i	2.13018	+	0.486199i
$447$			2.38672i			0.112888i
$448$	0.108837	−	0.476848i	0.00514209	−	0.0225290i
$449$	4.30699	+	8.94356i	0.203260	+	0.422073i	0.977534	−	0.210777i	$-0.0675993\pi$
$449$	4.30699	+	8.94356i	0.203260	+	0.422073i	−0.774275	+	0.632850i	$0.781885\pi$
$450$	5.25692	+	10.9161i	0.247814	+	0.514590i
$451$	−5.60892	+	24.5743i	−0.264114	+	1.15716i
$452$			21.5873i			1.01538i
$453$	−7.64205	−	1.74425i	−0.359055	−	0.0819519i
$454$	45.1933	−	36.0405i	2.12103	−	1.69146i
$455$	−0.0380063	−	0.166516i	−0.00178176	−	0.00780640i
$456$	2.20556	−	0.503406i	0.103285	−	0.0235741i
$457$	−9.11819	+	11.4338i	−0.426531	+	0.534853i	−0.947938	−	0.318455i	$-0.896836\pi$
$457$	−9.11819	+	11.4338i	−0.426531	+	0.534853i	0.521407	+	0.853308i	$0.325407\pi$
$458$	−23.3724	+	11.2556i	−1.09212	+	0.525938i
$459$	−9.05890	−	4.36254i	−0.422833	−	0.203626i
$460$	9.04267	+	11.3391i	0.421617	+	0.528691i
$461$	14.7393	+	11.7542i	0.686477	+	0.547447i	0.903430	−	0.428735i	$-0.141041\pi$
$461$	14.7393	+	11.7542i	0.686477	+	0.547447i	−0.216953	+	0.976182i	$0.569612\pi$
$462$	−0.140824	+	0.292424i	−0.00655172	+	0.0136048i
$463$	35.4987			1.64977			0.824883	−	0.565304i	$-0.191241\pi$
$463$	35.4987			1.64977			0.824883	+	0.565304i	$0.191241\pi$
$464$	−46.5635	−	17.4401i	−2.16166	−	0.809636i
$465$	−5.83944			−0.270798
$466$	22.6695	−	47.0736i	1.05014	−	2.18064i
$467$	−4.74405	−	3.78325i	−0.219528	−	0.175068i	0.507550	−	0.861622i	$-0.330551\pi$
$467$	−4.74405	−	3.78325i	−0.219528	−	0.175068i	−0.727079	+	0.686554i	$0.759123\pi$
$468$	7.35878	+	9.22762i	0.340160	+	0.426547i
$469$	0.334363	+	0.161021i	0.0154394	+	0.00743524i
$470$	64.0857	−	30.8620i	2.95605	−	1.42356i
$471$	−2.59230	+	3.25064i	−0.119447	+	0.149782i
$472$	69.7776	−	15.9263i	3.21178	−	0.733067i
$473$	−6.98980	−	30.6243i	−0.321391	−	1.40811i
$474$	11.7902	−	9.40240i	0.541543	−	0.431867i
$475$	−1.15392	−	0.263374i	−0.0529454	−	0.0120844i
$476$		−	1.41319i		−	0.0647732i
$477$	−3.47039	+	15.2048i	−0.158898	+	0.696179i
$478$	−1.33337	−	2.76877i	−0.0609868	−	0.126640i
$479$	−1.52688	−	3.17060i	−0.0697648	−	0.144868i	0.863170	−	0.504913i	$-0.168476\pi$
$479$	−1.52688	−	3.17060i	−0.0697648	−	0.144868i	−0.932935	+	0.360045i	$0.882761\pi$
$480$	−2.42110	+	10.6075i	−0.110508	+	0.484166i
$481$		−	2.72008i		−	0.124025i
$482$	−30.0178	−	6.85138i	−1.36728	−	0.312072i
$483$	0.0303910	−	0.0242360i	0.00138284	−	0.00110278i
$484$	−3.47916	−	15.2432i	−0.158144	−	0.692873i
$485$	−28.7223	+	6.55568i	−1.30421	+	0.297678i
$486$	−17.6229	+	22.0984i	−0.799389	+	1.00240i
$487$	−7.09733	+	3.41790i	−0.321611	+	0.154880i	−0.587722	−	0.809063i	$-0.699975\pi$
$487$	−7.09733	+	3.41790i	−0.321611	+	0.154880i	0.266112	+	0.963942i	$0.414261\pi$
$488$	23.1919	+	11.1686i	1.04985	+	0.505580i
$489$	−2.86463	−	3.59213i	−0.129543	−	0.162442i
$490$	−36.7225	−	29.2852i	−1.65895	−	1.32297i
$491$	9.47181	−	19.6684i	0.427457	−	0.887623i	−0.570348	−	0.821403i	$-0.693192\pi$
$491$	9.47181	−	19.6684i	0.427457	−	0.887623i	0.997805	−	0.0662200i	$-0.0210939\pi$
$492$	13.9884			0.630646
$493$	−21.0332	−	2.83483i	−0.947288	−	0.127674i
$494$	−1.63614			−0.0736132
$495$	−11.8743	+	24.6572i	−0.533709	+	1.10826i
$496$	37.1832	+	29.6526i	1.66958	+	1.33144i
$497$	−0.229852	−	0.288225i	−0.0103103	−	0.0129287i
$498$	17.4981	+	8.42664i	0.784109	+	0.377607i
$499$	−26.6790	+	12.8479i	−1.19432	+	0.575153i	−0.922051	−	0.387069i	$-0.873487\pi$
$499$	−26.6790	+	12.8479i	−1.19432	+	0.575153i	−0.272266	+	0.962222i	$0.587773\pi$
$500$	−25.6575	+	32.1735i	−1.14744	+	1.43884i
$501$	0.0730019	−	0.0166622i	0.00326148	−	0.000744412i
$502$	4.43876	+	19.4475i	0.198112	+	0.867984i
$503$	11.0048	−	8.77604i	0.490680	−	0.391304i	−0.346657	−	0.937992i	$-0.612683\pi$
$503$	11.0048	−	8.77604i	0.490680	−	0.391304i	0.837336	+	0.546688i	$0.184112\pi$
$504$	−1.48359	−	0.338620i	−0.0660844	−	0.0150833i
$505$		−	24.3547i		−	1.08377i
$506$	−2.57672	+	11.2893i	−0.114549	+	0.501873i
$507$	−2.33013	−	4.83857i	−0.103485	−	0.214889i
$508$	12.0885	+	25.1021i	0.536341	+	1.11372i
$509$	6.25625	−	27.4104i	0.277304	−	1.21495i	−0.623884	−	0.781517i	$-0.714446\pi$
$509$	6.25625	−	27.4104i	0.277304	−	1.21495i	0.901188	−	0.433429i	$-0.142697\pi$
$510$			11.6275i			0.514875i
$511$	−0.652059	−	0.148828i	−0.0288454	−	0.00658378i
$512$	−34.8971	+	27.8295i	−1.54225	+	1.22990i
$513$	−0.405122	−	1.77496i	−0.0178866	−	0.0783662i
$514$	−28.8549	+	6.58595i	−1.27274	+	0.290494i
$515$	14.7745	−	18.5266i	0.651043	−	0.816382i
$516$	−15.7059	+	7.56358i	−0.691416	+	0.332968i
$517$	36.0572	+	17.3642i	1.58580	+	0.763679i
$518$	0.376390	+	0.471978i	0.0165376	+	0.0207375i
$519$	−4.14569	−	3.30608i	−0.181976	−	0.145121i
$520$	7.11739	−	14.7794i	0.312118	−	0.648120i
$521$	−30.6374			−1.34225			−0.671125	−	0.741344i	$-0.734189\pi$
$521$	−30.6374			−1.34225			−0.671125	+	0.741344i	$0.734189\pi$
$522$	−13.7980	+	36.8394i	−0.603922	+	1.61242i
$523$	31.1728			1.36309			0.681546	−	0.731775i	$-0.261308\pi$
$523$	31.1728			1.36309			0.681546	+	0.731775i	$0.261308\pi$
$524$	−13.7178	+	28.4853i	−0.599264	+	1.24438i
$525$	−0.0428026	−	0.0341339i	−0.00186806	−	0.00148973i
$526$	−27.1727	−	34.0735i	−1.18479	−	1.48567i
$527$	18.2897	+	8.80785i	0.796711	+	0.383676i
$528$	−13.8091	+	6.65011i	−0.600964	+	0.289409i
$529$	−13.4756	+	16.8979i	−0.585895	+	0.734689i
$530$	36.3758	−	8.30253i	1.58006	−	0.360639i
$531$	−6.19543	−	27.1440i	−0.268859	−	1.17795i
$532$	0.200061	−	0.159543i	0.00867372	−	0.00691706i
$533$	−5.72996	−	1.30783i	−0.248192	−	0.0566482i
$534$		−	7.77085i		−	0.336278i
$535$	−2.79531	+	12.2471i	−0.120852	+	0.529487i
$536$	15.4648	+	32.1130i	0.667978	+	1.38707i
$537$	0.319259	+	0.662948i	0.0137770	+	0.0286083i
$538$	−12.7017	+	55.6499i	−0.547611	+	2.39924i
$539$		−	26.4272i		−	1.13830i
$540$	30.6321	+	6.99158i	1.31820	+	0.300870i
$541$	−17.4950	+	13.9518i	−0.752167	+	0.599833i	−0.922700	−	0.385519i	$-0.874022\pi$
$541$	−17.4950	+	13.9518i	−0.752167	+	0.599833i	0.170533	+	0.985352i	$0.445451\pi$
$542$	−3.78980	−	16.6042i	−0.162786	−	0.713211i
$543$	6.58018	−	1.50188i	0.282383	−	0.0644520i
$544$	23.5829	−	29.5720i	1.01111	−	1.26789i
$545$	−10.0766	+	4.85262i	−0.431633	+	0.207863i
$546$	−0.0681841	−	0.0328357i	−0.00291801	−	0.00140524i
$547$	−7.66662	−	9.61363i	−0.327801	−	0.411049i	0.590434	−	0.807086i	$-0.298957\pi$
$547$	−7.66662	−	9.61363i	−0.327801	−	0.411049i	−0.918235	+	0.396037i	$0.870385\pi$
$548$	−5.81660	−	4.63858i	−0.248473	−	0.198150i
$549$	4.34467	−	9.02180i	0.185426	−	0.385041i
$550$	16.3088			0.695408
$551$	−1.97325	−	3.29765i	−0.0840631	−	0.140485i
$552$	3.73332			0.158901
$553$	0.429954	−	0.892809i	0.0182835	−	0.0379661i
$554$	−43.8017	−	34.9307i	−1.86095	−	1.48406i
$555$	−2.18237	−	2.73660i	−0.0926363	−	0.116162i
$556$	45.7593	+	22.0365i	1.94063	+	0.934556i
$557$	5.41271	−	2.60662i	0.229344	−	0.110446i	−0.315683	−	0.948865i	$-0.602234\pi$
$557$	5.41271	−	2.60662i	0.229344	−	0.110446i	0.545027	+	0.838418i	$0.316519\pi$
$558$	23.4601	−	29.4181i	0.993146	−	1.24537i
$559$	7.14064	−	1.62981i	0.302017	−	0.0689334i
$560$	0.398322	+	1.74516i	0.0168322	+	0.0737466i
$561$	−5.11483	+	4.07894i	−0.215948	+	0.172213i
$562$	−22.0663	−	5.03649i	−0.930812	−	0.212452i
$563$			28.0097i			1.18047i	0.807233	+	0.590233i	$0.200964\pi$
$563$			28.0097i			1.18047i	−0.807233	+	0.590233i	$0.799036\pi$
$564$	4.94212	−	21.6529i	0.208101	−	0.911750i
$565$	−5.06407	−	10.5156i	−0.213047	−	0.442397i
$566$	−24.8286	−	51.5572i	−1.04363	−	2.16711i
$567$	−0.122045	+	0.534713i	−0.00512539	+	0.0224558i
$568$		−	35.4064i		−	1.48562i
$569$	33.8070	+	7.71623i	1.41726	+	0.323481i	0.861457	−	0.507830i	$-0.169552\pi$
$569$	33.8070	+	7.71623i	1.41726	+	0.323481i	0.555807	+	0.831312i	$0.312409\pi$
$570$	−1.64607	+	1.31270i	−0.0689465	+	0.0549830i
$571$	−0.974237	−	4.26841i	−0.0407705	−	0.178627i	0.950443	−	0.310899i	$-0.100630\pi$
$571$	−0.974237	−	4.26841i	−0.0407705	−	0.178627i	−0.991214	+	0.132272i	$0.957773\pi$
$572$	15.4886	−	3.53517i	0.647611	−	0.147813i
$573$	5.60947	−	7.03406i	0.234339	−	0.293852i
$574$	1.17521	−	0.565952i	0.0490523	−	0.0236224i
$575$	−1.75979	−	0.847469i	−0.0733882	−	0.0353419i
$576$	−11.3935	−	14.2870i	−0.474729	−	0.595291i
$577$	35.0665	+	27.9646i	1.45984	+	1.16418i	0.953325	+	0.301946i	$0.0976363\pi$
$577$	35.0665	+	27.9646i	1.45984	+	1.16418i	0.506510	+	0.862234i	$0.330935\pi$
$578$	−1.65743	+	3.44169i	−0.0689401	+	0.143155i
$579$	−1.37707			−0.0572289
$580$	66.0504	−	5.98914i	2.74259	−	0.248685i
$581$	1.27621			0.0529459
$582$	−5.66382	+	11.7610i	−0.234773	+	0.487511i
$583$	16.4129	+	13.0888i	0.679751	+	0.542083i
$584$	−40.0504	−	50.2216i	−1.65730	−	2.07819i
$585$	−5.74929	−	2.76871i	−0.237704	−	0.114472i
$586$	5.21956	−	2.51361i	0.215618	−	0.103836i
$587$	3.99518	−	5.00980i	0.164899	−	0.206777i	−0.692516	−	0.721403i	$-0.743498\pi$
$587$	3.99518	−	5.00980i	0.164899	−	0.206777i	0.857415	+	0.514626i	$0.172069\pi$
$588$	−14.2983	+	3.26349i	−0.589650	+	0.134584i
$589$	0.817931	+	3.58359i	0.0337023	+	0.147659i
$590$	−52.0770	+	41.5300i	−2.14398	+	1.70976i
$591$	1.21661	+	0.277683i	0.0500447	+	0.0114224i
$592$			28.5076i			1.17166i
$593$	−0.315432	+	1.38200i	−0.0129532	+	0.0567519i	−0.980991	−	0.194051i	$-0.937837\pi$
$593$	−0.315432	+	1.38200i	−0.0129532	+	0.0567519i	0.968038	+	0.250803i	$0.0806945\pi$
$594$	10.8845	+	22.6018i	0.446595	+	0.927364i
$595$	0.331512	+	0.688393i	0.0135907	+	0.0282213i
$596$	−5.76947	+	25.2777i	−0.236327	+	1.03542i
$597$			8.39968i			0.343776i
$598$	−2.63233	−	0.600811i	−0.107644	−	0.0245690i
$599$	29.1262	−	23.2274i	1.19007	−	0.949045i	0.190598	−	0.981668i	$-0.438957\pi$
$599$	29.1262	−	23.2274i	1.19007	−	0.949045i	0.999468	+	0.0326228i	$0.0103860\pi$
$600$	−1.17001	−	5.12616i	−0.0477656	−	0.209275i
$601$	24.6827	−	5.63366i	1.00683	−	0.229802i	0.312853	−	0.949802i	$-0.398715\pi$
$601$	24.6827	−	5.63366i	1.00683	−	0.229802i	0.693974	+	0.720000i	$0.255858\pi$
$602$	−1.01349	+	1.27088i	−0.0413069	+	0.0517972i
$603$	12.4922	−	6.01591i	0.508721	−	0.244987i
$604$	−76.7205	−	36.9466i	−3.12171	−	1.50334i
$605$	5.27061	+	6.60913i	0.214281	+	0.268699i
$606$	−8.43695	−	6.72824i	−0.342728	−	0.273316i
$607$	−12.9416	+	26.8735i	−0.525284	+	1.09076i	0.454508	+	0.890743i	$0.349815\pi$
$607$	−12.9416	+	26.8735i	−0.525284	+	1.09076i	−0.979792	+	0.200020i	$0.935899\pi$
$608$	6.84883			0.277757
$609$	−0.0160520	−	0.177027i	−0.000650459	−	0.00717351i
$610$	−23.9561			−0.969953
$611$	−4.04880	+	8.40743i	−0.163797	+	0.340128i
$612$	−41.2793	−	32.9191i	−1.66862	−	1.33068i
$613$	−19.6951	−	24.6968i	−0.795477	−	0.997496i	−0.999827	−	0.0185984i	$-0.994080\pi$
$613$	−19.6951	−	24.6968i	−0.795477	−	0.997496i	0.204350	−	0.978898i	$-0.434492\pi$
$614$	32.5353	+	15.6682i	1.31302	+	0.632316i
$615$	−6.81406	+	3.28148i	−0.274769	+	0.132322i
$616$	−1.27713	+	1.60147i	−0.0514570	+	0.0645250i
$617$	18.7914	−	4.28901i	0.756513	−	0.172669i	0.173166	−	0.984893i	$-0.444600\pi$
$617$	18.7914	−	4.28901i	0.756513	−	0.172669i	0.583346	+	0.812224i	$0.301743\pi$
$618$	−2.33638	−	10.2364i	−0.0939831	−	0.411767i
$619$	−35.1133	+	28.0019i	−1.41132	+	1.12549i	−0.437228	+	0.899351i	$0.644040\pi$
$619$	−35.1133	+	28.0019i	−1.41132	+	1.12549i	−0.974095	+	0.226141i	$0.927389\pi$
$620$	−61.8454	−	14.1158i	−2.48377	−	0.566905i
$621$		−	3.00443i		−	0.120564i
$622$	0.817784	−	3.58294i	0.0327901	−	0.143663i
$623$	−0.221555	−	0.460064i	−0.00887641	−	0.0184321i
$624$	−1.55060	−	3.21985i	−0.0620736	−	0.128897i
$625$	6.79624	−	29.7763i	0.271850	−	1.19105i
$626$			74.8168i			2.99028i
$627$	−1.15489	−	0.263596i	−0.0461218	−	0.0105270i
$628$	−35.3129	+	28.1611i	−1.40914	+	1.12375i
$629$	2.70766	+	11.8630i	0.107962	+	0.473011i
$630$	1.38071	−	0.315139i	0.0550089	−	0.0125554i
$631$	23.7685	−	29.8047i	0.946208	−	1.18651i	−0.0361213	−	0.999347i	$-0.511500\pi$
$631$	23.7685	−	29.8047i	0.946208	−	1.18651i	0.982329	−	0.187160i	$-0.0599283\pi$
$632$	85.7475	−	41.2938i	3.41085	−	1.64258i
$633$	7.08282	+	3.41091i	0.281517	+	0.135571i
$634$	36.2167	+	45.4144i	1.43835	+	1.80363i
$635$	−11.7772	−	9.39196i	−0.467362	−	0.372709i
$636$	5.05481	−	10.4964i	0.200436	−	0.416210i
$637$	6.16199			0.244147
$638$	36.6187	+	38.2490i	1.44975	+	1.51429i
$639$	−13.7733			−0.544864
$640$	2.52197	−	5.23692i	0.0996894	−	0.207007i
$641$	28.9085	+	23.0537i	1.14182	+	0.910568i	0.996885	−	0.0788740i	$-0.0251325\pi$
$641$	28.9085	+	23.0537i	1.14182	+	0.910568i	0.144931	+	0.989442i	$0.453704\pi$
$642$	3.47039	+	4.35173i	0.136965	+	0.171749i
$643$	−15.3942	−	7.41345i	−0.607088	−	0.292358i	0.104974	−	0.994475i	$-0.466524\pi$
$643$	−15.3942	−	7.41345i	−0.607088	−	0.292358i	−0.712062	+	0.702117i	$0.752238\pi$
$644$	0.380457	−	0.183219i	0.0149921	−	0.00721982i
$645$	5.87640	−	7.36877i	0.231383	−	0.290145i
$646$	7.13566	−	1.62867i	0.280749	−	0.0640791i
$647$	1.37815	+	6.03807i	0.0541807	+	0.237381i	0.994766	−	0.102175i	$-0.0325802\pi$
$647$	1.37815	+	6.03807i	0.0541807	+	0.237381i	−0.940586	+	0.339556i	$0.889723\pi$
$648$	−41.1836	+	32.8428i	−1.61784	+	1.29019i
$649$	−36.5373	−	8.33940i	−1.43421	−	0.327350i
$650$			3.80270i			0.149154i
$651$	−0.0378330	+	0.165757i	−0.00148279	+	0.00649654i
$652$	−21.6559	−	44.9689i	−0.848110	−	1.76112i
$653$	6.83735	+	14.1979i	0.267566	+	0.555607i	0.990854	−	0.134940i	$-0.0430841\pi$
$653$	6.83735	+	14.1979i	0.267566	+	0.555607i	−0.723287	+	0.690547i	$0.757370\pi$
$654$	−1.10271	+	4.83131i	−0.0431195	+	0.188919i
$655$		−	17.0938i		−	0.667909i
$656$	60.0525	+	13.7066i	2.34466	+	0.535152i
$657$	−19.5365	+	15.5799i	−0.762193	+	0.607829i
$658$	−0.460841	−	2.01908i	−0.0179654	−	0.0787118i
$659$	−16.1942	+	3.69622i	−0.630836	+	0.143984i	−0.525971	−	0.850502i	$-0.676298\pi$
$659$	−16.1942	+	3.69622i	−0.630836	+	0.143984i	−0.104865	+	0.994486i	$0.533441\pi$
$660$	12.7464	−	15.9834i	0.496151	−	0.622154i
$661$	36.0749	−	17.3728i	1.40315	−	0.675722i	0.429354	−	0.903136i	$-0.358741\pi$
$661$	36.0749	−	17.3728i	1.40315	−	0.675722i	0.973798	+	0.227414i	$0.0730271\pi$
$662$	21.9220	+	10.5571i	0.852021	+	0.410312i
$663$	−0.951083	−	1.19262i	−0.0369370	−	0.0463175i
$664$	95.8289	+	76.4210i	3.71888	+	2.96571i
$665$	−0.0600273	+	0.124648i	−0.00232776	+	0.00483364i
$666$	22.5542			0.873959
$667$	−1.96375	−	6.03009i	−0.0760367	−	0.233486i
$668$	0.813440			0.0314729
$669$	−3.37989	+	7.01841i	−0.130674	+	0.271347i
$670$	−25.9342	−	20.6819i	−1.00193	−	0.799010i
$671$	−8.40381	−	10.5380i	−0.324426	−	0.406817i
$672$	0.285417	+	0.137450i	0.0110102	+	0.00530224i
$673$	−11.9148	+	5.73786i	−0.459282	+	0.221178i	−0.649194	−	0.760623i	$-0.724894\pi$
$673$	−11.9148	+	5.73786i	−0.459282	+	0.221178i	0.189913	+	0.981801i	$0.439180\pi$
$674$	25.0383	−	31.3971i	0.964441	−	1.20937i
$675$	−4.12534	+	0.941583i	−0.158785	+	0.0362415i
$676$	−12.9820	−	56.8780i	−0.499309	−	2.18761i
$677$	−18.6155	+	14.8453i	−0.715450	+	0.570553i	−0.912123	−	0.409917i	$-0.865558\pi$
$677$	−18.6155	+	14.8453i	−0.715450	+	0.570553i	0.196673	+	0.980469i	$0.436986\pi$
$678$	−5.04183	−	1.15076i	−0.193630	−	0.0441948i
$679$			0.857779i			0.0329185i
$680$	−16.3290	+	71.5421i	−0.626189	+	2.74352i
$681$	4.23402	+	8.79204i	0.162248	+	0.336912i
$682$	−21.9754	−	45.6325i	−0.841483	−	1.74736i
$683$	−6.40121	+	28.0455i	−0.244935	+	1.07313i	0.691523	+	0.722354i	$0.256940\pi$
$683$	−6.40121	+	28.0455i	−0.244935	+	1.07313i	−0.936459	+	0.350778i	$0.885917\pi$
$684$		−	9.56022i		−	0.365544i
$685$	3.92153	+	0.895065i	0.149834	+	0.0341987i
$686$	−2.13927	+	1.70601i	−0.0816779	+	0.0651359i
$687$	−0.974504	−	4.26958i	−0.0371796	−	0.162895i
$688$	−74.8371	+	17.0811i	−2.85314	+	0.651210i
$689$	−3.05191	+	3.82697i	−0.116268	+	0.145796i
$690$	−3.13036	+	1.50750i	−0.119171	+	0.0573896i
$691$	−24.4267	−	11.7633i	−0.929235	−	0.447496i	−0.0928757	−	0.995678i	$-0.529606\pi$
$691$	−24.4267	−	11.7633i	−0.929235	−	0.447496i	−0.836359	+	0.548182i	$0.815320\pi$
$692$	−35.9151	−	45.0361i	−1.36529	−	1.71202i
$693$	0.622982	+	0.496811i	0.0236651	+	0.0188723i
$694$	−10.6134	+	22.0389i	−0.402878	+	0.836585i
$695$	−27.4598			−1.04161
$696$	9.39532	−	14.2540i	0.356129	−	0.540297i
$697$	26.2919			0.995875
$698$	27.6725	−	57.4625i	1.04742	−	2.17499i
$699$	6.89604	+	5.49941i	0.260832	+	0.208007i
$700$	−0.370809	−	0.464980i	−0.0140153	−	0.0175746i
$701$	−22.0841	−	10.6352i	−0.834106	−	0.401684i	−0.0324526	−	0.999473i	$-0.510332\pi$
$701$	−22.0841	−	10.6352i	−0.834106	−	0.401684i	−0.801654	+	0.597789i	$0.796046\pi$
$702$	−5.27004	+	2.53792i	−0.198905	+	0.0957876i
$703$	−1.37373	+	1.72261i	−0.0518113	+	0.0649693i
$704$	−23.9808	+	5.47346i	−0.903810	+	0.206289i
$705$	2.67203	+	11.7069i	0.100634	+	0.440908i
$706$	49.1323	−	39.1817i	1.84912	−	1.47462i
$707$	−0.691328	−	0.157791i	−0.0260001	−	0.00593435i
$708$			20.7981i			0.781641i
$709$	3.69194	−	16.1754i	0.138654	−	0.607481i	−0.857078	−	0.515187i	$-0.827723\pi$
$709$	3.69194	−	16.1754i	0.138654	−	0.607481i	0.995732	−	0.0922948i	$-0.0294202\pi$
$710$	14.2970	+	29.6880i	0.536556	+	1.11417i
$711$	−16.0636	−	33.3563i	−0.602431	−	1.25096i
$712$	10.9129	−	47.8127i	0.408980	−	1.79186i
$713$			6.06588i			0.227169i
$714$	0.330056	+	0.0753332i	0.0123521	+	0.00281928i
$715$	−6.71553	+	5.35546i	−0.251147	+	0.200283i
$716$	1.77871	+	7.79303i	0.0664735	+	0.291239i
$717$	0.505787	−	0.115443i	0.0188890	−	0.00431128i
$718$	−24.7367	+	31.0189i	−0.923166	+	1.15761i
$719$	−36.4909	+	17.5731i	−1.36088	+	0.655365i	−0.964833	−	0.262865i	$-0.915333\pi$
$719$	−36.4909	+	17.5731i	−1.36088	+	0.655365i	−0.396047	+	0.918230i	$0.629618\pi$
$720$	60.2550	+	29.0173i	2.24557	+	1.08141i
$721$	−0.430172	−	0.539418i	−0.0160204	−	0.0200890i
$722$	−37.6226	−	30.0030i	−1.40017	−	1.11660i
$723$	2.25527	−	4.68312i	0.0838745	−	0.174167i
$724$	73.3212			2.72496
$725$	−7.66439	+	4.58621i	−0.284648	+	0.170328i
$726$	3.74559			0.139012
$727$	−13.7670	+	28.5876i	−0.510592	+	1.06025i	0.473203	+	0.880954i	$0.343098\pi$
$727$	−13.7670	+	28.5876i	−0.510592	+	1.06025i	−0.983794	+	0.179301i	$0.942616\pi$
$728$	−0.373413	−	0.297787i	−0.0138396	−	0.0110367i
$729$	10.6795	+	13.3917i	0.395538	+	0.495990i
$730$	53.8612	+	25.9382i	1.99349	+	0.960016i
$731$	−29.5200	+	14.2161i	−1.09184	+	0.525801i
$732$	−4.66376	+	5.84817i	−0.172378	+	0.216155i
$733$	−1.45205	+	0.331420i	−0.0536325	+	0.0122413i	−0.249253	−	0.968438i	$-0.580185\pi$
$733$	−1.45205	+	0.331420i	−0.0536325	+	0.0122413i	0.195620	+	0.980680i	$0.437328\pi$
$734$	7.41362	+	32.4812i	0.273642	+	1.19890i
$735$	6.19942	−	4.94388i	0.228669	−	0.182358i
$736$	11.0189	+	2.51498i	0.406161	+	0.0927035i
$737$		−	18.6634i		−	0.687476i
$738$	10.8442	−	47.5114i	0.399180	−	1.74892i
$739$	15.9342	+	33.0877i	0.586149	+	1.21715i	0.957439	+	0.288635i	$0.0932013\pi$
$739$	15.9342	+	33.0877i	0.586149	+	1.21715i	−0.371290	+	0.928517i	$0.621084\pi$
$740$	−16.4982	−	34.2588i	−0.606485	−	1.25938i
$741$	0.0614623	−	0.269284i	0.00225787	−	0.00989240i
$742$		−	1.08635i		−	0.0398810i
$743$	−30.3940	−	6.93724i	−1.11505	−	0.254503i	−0.374980	−	0.927033i	$-0.622350\pi$
$743$	−30.3940	−	6.93724i	−1.11505	−	0.254503i	−0.740070	+	0.672530i	$0.765208\pi$
$744$	−12.7666	+	10.1810i	−0.468047	+	0.373255i
$745$	−3.11935	−	13.6668i	−0.114284	−	0.500711i
$746$	0.0496646	−	0.0113356i	0.00181835	−	0.000415026i
$747$	29.7283	−	37.2781i	1.08770	−	1.36393i
$748$	−64.0313	+	30.8358i	−2.34121	+	1.12747i
$749$	0.329532	+	0.158694i	0.0120408	+	0.00579857i
$750$	−6.14654	−	7.70752i	−0.224440	−	0.281439i
$751$	−35.4169	−	28.2441i	−1.29238	−	1.03064i	−0.997168	−	0.0752090i	$-0.976038\pi$
$751$	−35.4169	−	28.2441i	−1.29238	−	1.03064i	−0.295214	−	0.955431i	$-0.595391\pi$
$752$	42.4332	−	88.1135i	1.54738	−	3.21317i
$753$	−3.36752			−0.122719
$754$	−8.91848	+	8.53835i	−0.324792	+	0.310948i
$755$	46.0393			1.67554
$756$	0.396923	−	0.824220i	0.0144360	−	0.0299766i
$757$	14.7659	+	11.7754i	0.536677	+	0.427985i	0.853955	−	0.520347i	$-0.174197\pi$
$757$	14.7659	+	11.7754i	0.536677	+	0.427985i	−0.317278	+	0.948333i	$0.602769\pi$
$758$	−8.49546	−	10.6530i	−0.308569	−	0.386933i
$759$	−1.76127	−	0.848181i	−0.0639299	−	0.0307870i
$760$	−11.9715	+	5.76517i	−0.434252	+	0.209125i
$761$	10.8655	−	13.6249i	0.393875	−	0.493904i	−0.544868	−	0.838522i	$-0.683420\pi$
$761$	10.8655	−	13.6249i	0.393875	−	0.493904i	0.938743	+	0.344618i	$0.111992\pi$
$762$	−6.50712	+	1.48521i	−0.235728	+	0.0538034i
$763$	0.0724607	+	0.317471i	0.00262325	+	0.0114932i
$764$	76.4135	−	60.9377i	2.76454	−	2.20465i
$765$	27.8304	+	6.35210i	1.00621	+	0.229661i
$766$		−	0.715264i		−	0.0258435i
$767$	1.94449	−	8.51936i	0.0702114	−	0.307616i
$768$	−3.59939	−	7.47421i	−0.129882	−	0.269702i
$769$	11.8438	+	24.5938i	0.427097	+	0.886875i	0.997836	+	0.0657444i	$0.0209422\pi$
$769$	11.8438	+	24.5938i	0.427097	+	0.886875i	−0.570740	+	0.821131i	$0.693344\pi$
$770$	0.424195	−	1.85852i	0.0152869	−	0.0669763i
$771$		−	4.99650i		−	0.179945i
$772$	−14.5845	−	3.32882i	−0.524908	−	0.119807i
$773$	4.61107	−	3.67721i	0.165849	−	0.132260i	−0.537049	−	0.843551i	$-0.680461\pi$
$773$	4.61107	−	3.67721i	0.165849	−	0.132260i	0.702897	+	0.711291i	$0.251889\pi$
$774$	13.5140	+	59.2085i	0.485749	+	2.12821i
$775$	8.32896	−	1.90103i	0.299185	−	0.0682871i
$776$	−51.3650	+	64.4097i	−1.84390	+	2.31217i
$777$	−0.0918199	+	0.0442181i	−0.00329402	+	0.00158632i
$778$	−17.6721	−	8.51044i	−0.633576	−	0.305114i
$779$	2.96825	+	3.72206i	0.106348	+	0.133357i
$780$	3.72684	+	2.97206i	0.133442	+	0.106417i
$781$	−8.04406	+	16.7037i	−0.287839	+	0.597704i
$782$	12.0784			0.431923
$783$	−11.4711	−	7.56100i	−0.409943	−	0.270208i
$784$	−64.5804			−2.30644
$785$	10.5955	−	22.0017i	0.378169	−	0.785276i
$786$	−5.92162	−	4.72233i	−0.211217	−	0.168440i
$787$	27.3074	+	34.2424i	0.973403	+	1.22061i	0.975362	+	0.220611i	$0.0708051\pi$
$787$	27.3074	+	34.2424i	0.973403	+	1.22061i	−0.00195882	+	0.999998i	$0.500624\pi$
$788$	12.2139	+	5.88188i	0.435101	+	0.209533i
$789$	6.62875	−	3.19224i	0.235990	−	0.113647i
$790$	−55.2243	+	69.2491i	−1.96479	+	2.46377i
$791$	−0.331305	+	0.0756181i	−0.0117798	+	0.00268867i
$792$	17.0293	+	74.6101i	0.605108	+	2.65115i
$793$	2.45714	−	1.95951i	0.0872558	−	0.0695842i
$794$	42.4584	+	9.69086i	1.50679	+	0.343916i
$795$			6.29881i			0.223396i
$796$	−20.3047	+	88.9609i	−0.719683	+	3.15314i
$797$	15.9099	+	33.0373i	0.563558	+	1.17024i	0.966892	+	0.255188i	$0.0821373\pi$
$797$	15.9099	+	33.0373i	0.563558	+	1.17024i	−0.403333	+	0.915053i	$0.632148\pi$
$798$	0.0265973	+	0.0552300i	0.000941536	+	0.00195512i
$799$	9.28894	−	40.6975i	0.328619	−	1.43977i
$800$		−	15.9180i		−	0.562787i
$801$	−18.5995	−	4.24521i	−0.657180	−	0.149997i
$802$	−16.3943	+	13.0740i	−0.578903	+	0.461660i
$803$	7.48460	+	32.7922i	0.264126	+	1.15721i
$804$	−10.0977	+	2.30474i	−0.356120	+	0.0812820i
$805$	−0.142348	+	0.178499i	−0.00501712	+	0.00629128i
$806$	10.6401	−	5.12399i	0.374781	−	0.180485i
$807$	−8.68202	−	4.18104i	−0.305622	−	0.147180i
$808$	−42.4623	−	53.2461i	−1.49382	−	1.87319i
$809$	−14.6770	−	11.7045i	−0.516014	−	0.411508i	0.330555	−	0.943787i	$-0.392764\pi$
$809$	−14.6770	−	11.7045i	−0.516014	−	0.411508i	−0.846569	+	0.532279i	$0.821336\pi$
$810$	21.2703	−	44.1682i	0.747361	−	1.55191i
$811$	33.9249			1.19127			0.595633	−	0.803257i	$-0.296901\pi$
$811$	33.9249			1.19127			0.595633	+	0.803257i	$0.296901\pi$
$812$	0.257926	−	1.91370i	0.00905142	−	0.0671576i
$813$	2.87517			0.100837
$814$	13.1724	−	27.3528i	0.461692	−	0.958714i
$815$	21.0981	+	16.8252i	0.739034	+	0.589360i
$816$	9.96776	+	12.4992i	0.348941	+	0.437559i
$817$	−5.34522	−	2.57412i	−0.187006	−	0.0900572i
$818$	22.2833	−	10.7311i	0.779116	−	0.375203i
$819$	−0.115841	+	0.145260i	−0.00404781	+	0.00507579i
$820$	−80.1000	+	18.2823i	−2.79721	+	0.638446i
$821$	−2.78555	−	12.2043i	−0.0972164	−	0.425933i	0.902775	−	0.430113i	$-0.141526\pi$
$821$	−2.78555	−	12.2043i	−0.0972164	−	0.425933i	−0.999991	+	0.00418046i	$0.998669\pi$
$822$	1.39343	−	1.11123i	0.0486015	−	0.0387584i
$823$	−26.9873	−	6.15968i	−0.940719	−	0.214713i	−0.275449	−	0.961316i	$-0.588826\pi$
$823$	−26.9873	−	6.15968i	−0.940719	−	0.214713i	−0.665270	+	0.746603i	$0.731684\pi$
$824$		−	66.2636i		−	2.30840i
$825$	−0.612648	+	2.68419i	−0.0213297	+	0.0934514i
$826$	0.841463	+	1.74732i	0.0292782	+	0.0607969i
$827$	12.8211	+	26.6233i	0.445834	+	0.925783i	0.995883	+	0.0906506i	$0.0288946\pi$
$827$	12.8211	+	26.6233i	0.445834	+	0.925783i	−0.550049	+	0.835132i	$0.685391\pi$
$828$	3.51064	−	15.3811i	0.122003	−	0.534531i
$829$		−	1.28760i		−	0.0447203i	−0.999750	−	0.0223601i	$-0.992882\pi$
$829$		−	1.28760i		−	0.0447203i	0.999750	−	0.0223601i	$-0.00711805\pi$
$830$	−111.210	−	25.3830i	−3.86017	−	0.881058i
$831$	7.39451	−	5.89692i	0.256513	−	0.204562i
$832$	−1.27624	−	5.59157i	−0.0442457	−	0.193853i
$833$	−26.8742	+	6.13387i	−0.931137	+	0.212526i
$834$	−7.58605	+	9.51260i	−0.262683	+	0.329395i
$835$	−0.396244	+	0.190821i	−0.0137126	+	0.00660364i
$836$	−11.5942	−	5.58348i	−0.400994	−	0.193109i
$837$	8.19332	+	10.2741i	0.283203	+	0.355125i
$838$	47.3020	+	37.7221i	1.63402	+	1.30309i
$839$	7.09451	−	14.7319i	0.244930	−	0.508602i	−0.741871	−	0.670543i	$-0.766061\pi$
$839$	7.09451	−	14.7319i	0.244930	−	0.508602i	0.986800	+	0.161941i	$0.0517755\pi$
$840$	−0.614600			−0.0212057
$841$	−27.9652	−	7.67770i	−0.964318	−	0.264748i
$842$	−45.4209			−1.56531
$843$	1.65787	−	3.44260i	0.0571000	−	0.118569i
$844$	66.7688	+	53.2464i	2.29828	+	1.83282i
$845$	19.6666	+	24.6611i	0.676550	+	0.848367i
$846$	−69.7124	−	33.5717i	−2.39676	−	1.15422i
$847$	0.221753	−	0.106791i	0.00761953	−	0.00366937i
$848$	31.9853	−	40.1083i	1.09838	−	1.37732i
$849$	9.41826	−	2.14966i	0.323234	−	0.0737760i
$850$	−3.78534	−	16.5847i	−0.129836	−	0.568849i
$851$	−2.84272	+	2.26699i	−0.0974471	+	0.0777115i
$852$	10.0308	+	2.28946i	0.343649	+	0.0784356i
$853$		−	51.4321i		−	1.76100i	−0.474045	−	0.880501i	$-0.657207\pi$
$853$		−	51.4321i		−	1.76100i	0.474045	−	0.880501i	$-0.342793\pi$
$854$	−0.155208	+	0.680013i	−0.00531112	+	0.0232696i
$855$	2.24269	+	4.65699i	0.0766983	+	0.159266i
$856$	15.2414	+	31.6491i	0.520940	+	1.08174i
$857$	4.32274	−	18.9392i	0.147662	−	0.646950i	−0.845869	−	0.533391i	$-0.820918\pi$
$857$	4.32274	−	18.9392i	0.147662	−	0.646950i	0.993531	−	0.113560i	$-0.0362253\pi$
$858$			3.80589i			0.129931i
$859$	23.3220	+	5.32310i	0.795738	+	0.181622i	0.601016	−	0.799237i	$-0.294763\pi$
$859$	23.3220	+	5.32310i	0.795738	+	0.181622i	0.194721	+	0.980859i	$0.437620\pi$
$860$	80.0495	−	63.8374i	2.72967	−	2.17684i
$861$	0.0489999	+	0.214683i	0.00166991	+	0.00731637i
$862$	83.1817	−	18.9857i	2.83318	−	0.646655i
$863$	17.7296	−	22.2323i	0.603524	−	0.756795i	−0.382399	−	0.923997i	$-0.624902\pi$
$863$	17.7296	−	22.2323i	0.603524	−	0.756795i	0.985923	+	0.167202i	$0.0534733\pi$
$864$	22.0603	−	10.6237i	0.750506	−	0.361425i
$865$	28.0598	+	13.5129i	0.954063	+	0.459452i
$866$	8.14683	+	10.2158i	0.276840	+	0.347147i
$867$	−0.504190	−	0.402078i	−0.0171232	−	0.0136553i
$868$	−0.801378	+	1.66408i	−0.0272005	+	0.0564825i
$869$	−49.8347			−1.69053
$870$	−2.12218	+	15.7457i	−0.0719487	+	0.533828i
$871$	4.35173			0.147453
$872$	−13.5696	+	28.1776i	−0.459526	+	0.954215i
$873$	25.0558	+	19.9813i	0.848010	+	0.676266i
$874$	1.36360	+	1.70990i	0.0461245	+	0.0578384i
$875$	−0.583648	−	0.281070i	−0.0197309	−	0.00950190i
$876$	16.8177	−	8.09900i	0.568219	−	0.273640i
$877$	−2.31381	+	2.90142i	−0.0781317	+	0.0979741i	−0.819361	−	0.573278i	$-0.805672\pi$
$877$	−2.31381	+	2.90142i	−0.0781317	+	0.0979741i	0.741229	+	0.671252i	$0.234243\pi$
$878$	−54.2175	+	12.3748i	−1.82975	+	0.417629i
$879$	0.217627	+	0.953488i	0.00734039	+	0.0321604i
$880$	70.3817	−	56.1276i	2.37257	−	1.89206i
$881$	−11.6270	−	2.65378i	−0.391722	−	0.0894080i	0.0221232	−	0.999755i	$-0.492957\pi$
$881$	−11.6270	−	2.65378i	−0.391722	−	0.0894080i	−0.413845	+	0.910347i	$0.635815\pi$
$882$			51.0938i			1.72042i
$883$	1.31269	−	5.75129i	0.0441757	−	0.193546i	−0.948025	−	0.318195i	$-0.896923\pi$
$883$	1.31269	−	5.75129i	0.0441757	−	0.193546i	0.992201	+	0.124649i	$0.0397804\pi$
$884$	−7.18996	−	14.9301i	−0.241824	−	0.502154i
$885$	−4.87893	−	10.1312i	−0.164004	−	0.340557i
$886$	23.0650	−	101.054i	0.774883	−	3.39498i
$887$			24.5541i			0.824445i	0.911083	+	0.412223i	$0.135247\pi$
$887$			24.5541i			0.824445i	−0.911083	+	0.412223i	$0.864753\pi$
$888$	−9.54251	−	2.17802i	−0.320226	−	0.0730894i
$889$	−0.342901	+	0.273455i	−0.0115005	+	0.00917137i
$890$	10.1562	+	44.4972i	0.340436	+	1.49155i
$891$	26.8908	−	6.13765i	0.900875	−	0.205619i
$892$	−52.7621	+	66.1616i	−1.76661	+	2.21526i
$893$	6.81012	−	3.27958i	0.227892	−	0.109747i
$894$	−5.59618	−	2.69498i	−0.187164	−	0.0901336i
$895$	−2.69458	−	3.37889i	−0.0900698	−	0.112944i
$896$	−0.132315	−	0.105517i	−0.00442032	−	0.00352509i
$897$	0.197769	−	0.410673i	0.00660333	−	0.0137120i
$898$	−25.8334			−0.862072
$899$	23.1598	+	15.2655i	0.772424	+	0.509132i
$900$	−22.2198			−0.740661
$901$	9.50074	−	19.7285i	0.316515	−	0.657251i
$902$	−51.2864	−	40.8995i	−1.70765	−	1.36181i
$903$	−0.171096	−	0.214548i	−0.00569372	−	0.00713970i
$904$	−29.4054	−	14.1609i	−0.978010	−	0.470985i
$905$	−35.7163	+	17.2001i	−1.18725	+	0.571750i
$906$	12.7188	−	15.9489i	0.422555	−	0.529867i
$907$	−39.2077	+	8.94890i	−1.30187	+	0.297143i	−0.816592	−	0.577216i	$-0.804139\pi$
$907$	−39.2077	+	8.94890i	−1.30187	+	0.297143i	−0.485279	+	0.874359i	$0.661282\pi$
$908$	23.5893	+	103.351i	0.782838	+	3.42984i
$909$	−20.7131	+	16.5181i	−0.687010	+	0.547872i
$910$	0.433349	+	0.0989090i	0.0143654	+	0.00327880i
$911$		−	13.5344i		−	0.448415i	−0.974541	−	0.224208i	$-0.928021\pi$
$911$		−	13.5344i		−	0.448415i	0.974541	−	0.224208i	$-0.0719794\pi$
$912$	−0.644152	+	2.82221i	−0.0213300	+	0.0934529i
$913$	−27.8469	−	57.8247i	−0.921599	−	1.91372i
$914$	−16.5133	−	34.2902i	−0.546211	−	1.13422i
$915$	0.899923	−	3.94282i	0.0297505	−	0.130346i
$916$		−	47.5748i		−	1.57191i
$917$	−0.485221	−	0.110748i	−0.0160234	−	0.00365724i
$918$	20.4578	−	16.3146i	0.675209	−	0.538461i
$919$	−12.2637	−	53.7307i	−0.404542	−	1.77241i	−0.608624	−	0.793459i	$-0.708278\pi$
$919$	−12.2637	−	53.7307i	−0.404542	−	1.77241i	0.204082	−	0.978954i	$-0.434579\pi$
$920$	−21.3776	+	4.87930i	−0.704798	+	0.160866i
$921$	−3.80096	+	4.76625i	−0.125246	+	0.157053i
$922$	−44.2032	+	21.2871i	−1.45576	+	0.701055i
$923$	−3.89478	−	1.87563i	−0.128198	−	0.0617370i
$924$	−0.371121	−	0.465370i	−0.0122090	−	0.0153096i
$925$	4.00367	+	3.19282i	0.131640	+	0.104979i
$926$	−40.0836	+	83.2345i	−1.31723	+	2.73525i
$927$	−25.7770			−0.846627
$928$	37.3326	−	35.7414i	1.22550	−	1.17327i
$929$	4.05714			0.133111			0.0665553	−	0.997783i	$-0.478799\pi$
$929$	4.05714			0.133111			0.0665553	+	0.997783i	$0.478799\pi$
$930$	6.59364	−	13.6918i	0.216214	−	0.448973i
$931$	−3.90235	−	3.11202i	−0.127894	−	0.101992i
$932$	59.7421	+	74.9142i	1.95692	+	2.45390i
$933$	0.558980	+	0.269190i	0.0183002	+	0.00881290i
$934$	14.2274	−	6.85157i	0.465536	−	0.224190i
$935$	23.9574	−	30.0416i	0.783489	−	0.982465i
$936$	−17.3968	+	3.97070i	−0.568631	+	0.129786i
$937$	−6.71756	−	29.4315i	−0.219453	−	0.961486i	−0.957884	−	0.287157i	$-0.907290\pi$
$937$	−6.71756	−	29.4315i	−0.219453	−	0.961486i	0.738431	−	0.674329i	$-0.235567\pi$
$938$	−0.755096	+	0.602169i	−0.0246548	+	0.0196615i
$939$	−12.3138	−	2.81053i	−0.401844	−	0.0917183i
$940$			130.447i			4.25471i
$941$	−1.86473	+	8.16992i	−0.0607885	+	0.266332i	−0.996185	−	0.0872695i	$-0.972186\pi$
$941$	−1.86473	+	8.16992i	−0.0607885	+	0.266332i	0.935396	+	0.353601i	$0.115043\pi$
$942$	−4.69472	−	9.74869i	−0.152962	−	0.317630i
$943$	3.40872	+	7.07828i	0.111003	+	0.230501i
$944$	−20.3791	+	89.2867i	−0.663283	+	2.90603i
$945$			0.494607i			0.0160896i
$946$	79.6980	+	18.1905i	2.59120	+	0.591426i
$947$	−1.42752	+	1.13841i	−0.0463883	+	0.0369934i	−0.646410	−	0.762991i	$-0.723730\pi$
$947$	−1.42752	+	1.13841i	−0.0463883	+	0.0369934i	0.600021	+	0.799984i	$0.295159\pi$
$948$	6.15408	+	26.9628i	0.199875	+	0.875710i
$949$	−7.64612	+	1.74518i	−0.248203	+	0.0566508i
$950$	1.92049	−	2.40822i	0.0623090	−	0.0781330i
$951$	−8.83504	+	4.25473i	−0.286496	+	0.137969i
$952$	1.92499	+	0.927025i	0.0623892	+	0.0300451i
$953$	29.2350	+	36.6596i	0.947015	+	1.18752i	0.982143	+	0.188137i	$0.0602448\pi$
$953$	29.2350	+	36.6596i	0.947015	+	1.18752i	−0.0351278	+	0.999383i	$0.511184\pi$
$954$	−31.7323	−	25.3057i	−1.02737	−	0.819301i
$955$	−22.9275	+	47.6095i	−0.741918	+	1.54061i
$956$	5.63585			0.182276
$957$	−7.67083	+	4.59006i	−0.247963	+	0.148376i
$958$	9.15823			0.295889
$959$	0.0508143	−	0.105517i	0.00164088	−	0.00340732i
$960$	−5.77021	−	4.60159i	−0.186233	−	0.148516i
$961$	2.78608	+	3.49363i	0.0898735	+	0.112698i
$962$	6.37782	+	3.07139i	0.205629	+	0.0990257i
$963$	12.3117	−	5.92900i	0.396739	−	0.191059i
$964$	35.2062	−	44.1472i	1.13392	−	1.42188i
$965$	7.88531	−	1.79977i	0.253837	−	0.0579367i
$966$	0.0225104	+	0.0986246i	0.000724261	+	0.00317319i
$967$	15.7602	−	12.5683i	0.506814	−	0.404170i	−0.336425	−	0.941710i	$-0.609218\pi$
$967$	15.7602	−	12.5683i	0.506814	−	0.404170i	0.843238	+	0.537540i	$0.180646\pi$
$968$	23.0460	+	5.26010i	0.740726	+	0.169066i
$969$			1.23561i			0.0396934i
$970$	17.0608	−	74.7480i	0.547788	−	2.40001i
$971$	7.34078	+	15.2433i	0.235577	+	0.489180i	0.984922	−	0.172999i	$-0.0553459\pi$
$971$	7.34078	+	15.2433i	0.235577	+	0.489180i	−0.749345	+	0.662180i	$0.769632\pi$
$972$	−22.4907	−	46.7024i	−0.721390	−	1.49798i
$973$	−0.177908	+	0.779468i	−0.00570348	+	0.0249886i
$974$		−	20.5006i		−	0.656881i
$975$	−0.625869	−	0.142850i	−0.0200438	−	0.00457488i
$976$	−25.7520	+	20.5365i	−0.824300	+	0.657357i
$977$	0.230599	+	1.01032i	0.00737753	+	0.0323231i	0.978483	−	0.206329i	$-0.0661517\pi$
$977$	0.230599	+	1.01032i	0.00737753	+	0.0323231i	−0.971105	+	0.238652i	$0.923295\pi$
$978$	11.6571	−	2.66067i	0.372754	−	0.0850787i
$979$	−16.0111	+	20.0773i	−0.511716	+	0.641672i
$980$	77.6090	−	37.3745i	2.47913	−	1.19389i
$981$	10.9613	+	5.27867i	0.349967	+	0.168535i
$982$	35.4217	+	44.4174i	1.13035	+	1.41742i
$983$	12.6896	+	10.1196i	0.404735	+	0.322766i	0.804609	−	0.593804i	$-0.202375\pi$
$983$	12.6896	+	10.1196i	0.404735	+	0.322766i	−0.399874	+	0.916570i	$0.630946\pi$
$984$	−9.17616	+	19.0545i	−0.292525	+	0.607435i
$985$	−7.32943			−0.233535
$986$	30.3967	−	46.1160i	0.968027	−	1.46863i
$987$	0.349622			0.0111286
$988$	1.30189	−	2.70341i	0.0414188	−	0.0860069i
$989$	−7.65451	−	6.10426i	−0.243399	−	0.194104i
$990$	−44.4062	−	55.6836i	−1.41132	−	1.76974i
$991$	33.4640	+	16.1154i	1.06302	+	0.511922i	0.881850	−	0.471530i	$-0.156298\pi$
$991$	33.4640	+	16.1154i	1.06302	+	0.511922i	0.181168	+	0.983452i	$0.442012\pi$
$992$	−44.5392	+	21.4489i	−1.41412	+	0.681004i
$993$	−2.56105	+	3.21145i	−0.0812724	+	0.101912i
$994$	0.935346	−	0.213487i	0.0296674	−	0.00677138i
$995$	−10.9780	−	48.0980i	−0.348027	−	1.52481i
$996$	−27.8469	+	22.2072i	−0.882363	+	0.703661i
$997$	−35.2311	−	8.04128i	−1.11578	−	0.254670i	−0.375404	−	0.926861i	$-0.622496\pi$
$997$	−35.2311	−	8.04128i	−1.11578	−	0.254670i	−0.740377	+	0.672192i	$0.765353\pi$
$998$		−	77.0621i		−	2.43936i
$999$	−1.75279	+	7.67945i	−0.0554557	+	0.242967i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	29.2.e.a.13.1	yes	12
3.2	odd	2		261.2.o.a.100.2		12
4.3	odd	2		464.2.y.d.129.1		12
5.2	odd	4		725.2.p.a.274.1		24
5.3	odd	4		725.2.p.a.274.4		24
5.4	even	2		725.2.q.a.651.2		12
29.2	odd	28		841.2.d.l.574.1		24
29.3	odd	28		841.2.a.k.1.1		12
29.4	even	14		841.2.e.a.63.1		12
29.5	even	14		841.2.e.h.267.2		12
29.6	even	14		841.2.e.e.236.1		12
29.7	even	7		841.2.b.e.840.1		12
29.8	odd	28		841.2.d.m.571.1		24
29.9	even	14	inner	29.2.e.a.9.1	✓	12
29.10	odd	28		841.2.d.l.778.4		24
29.11	odd	28		841.2.d.k.645.4		24
29.12	odd	4		841.2.d.m.190.1		24
29.13	even	14		841.2.e.f.196.2		12
29.14	odd	28		841.2.d.k.605.4		24
29.15	odd	28		841.2.d.k.605.1		24
29.16	even	7		841.2.e.e.196.1		12
29.17	odd	4		841.2.d.m.190.4		24
29.18	odd	28		841.2.d.k.645.1		24
29.19	odd	28		841.2.d.l.778.1		24
29.20	even	7		841.2.e.i.270.2		12
29.21	odd	28		841.2.d.m.571.4		24
29.22	even	14		841.2.b.e.840.12		12
29.23	even	7		841.2.e.f.236.2		12
29.24	even	7		841.2.e.a.267.1		12
29.25	even	7		841.2.e.h.63.2		12
29.26	odd	28		841.2.a.k.1.12		12
29.27	odd	28		841.2.d.l.574.4		24
29.28	even	2		841.2.e.i.651.2		12
87.26	even	28		7569.2.a.bp.1.1		12
87.32	even	28		7569.2.a.bp.1.12		12
87.38	odd	14		261.2.o.a.154.2		12
116.67	odd	14		464.2.y.d.241.1		12
145.9	even	14		725.2.q.a.676.2		12
145.38	odd	28		725.2.p.a.299.1		24
145.67	odd	28		725.2.p.a.299.4		24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
29.2.e.a.9.1	✓	12	29.9	even	14	inner
29.2.e.a.13.1	yes	12	1.1	even	1	trivial
261.2.o.a.100.2		12	3.2	odd	2
261.2.o.a.154.2		12	87.38	odd	14
464.2.y.d.129.1		12	4.3	odd	2
464.2.y.d.241.1		12	116.67	odd	14
725.2.p.a.274.1		24	5.2	odd	4
725.2.p.a.274.4		24	5.3	odd	4
725.2.p.a.299.1		24	145.38	odd	28
725.2.p.a.299.4		24	145.67	odd	28
725.2.q.a.651.2		12	5.4	even	2
725.2.q.a.676.2		12	145.9	even	14
841.2.a.k.1.1		12	29.3	odd	28
841.2.a.k.1.12		12	29.26	odd	28
841.2.b.e.840.1		12	29.7	even	7
841.2.b.e.840.12		12	29.22	even	14
841.2.d.k.605.1		24	29.15	odd	28
841.2.d.k.605.4		24	29.14	odd	28
841.2.d.k.645.1		24	29.18	odd	28
841.2.d.k.645.4		24	29.11	odd	28
841.2.d.l.574.1		24	29.2	odd	28
841.2.d.l.574.4		24	29.27	odd	28
841.2.d.l.778.1		24	29.19	odd	28
841.2.d.l.778.4		24	29.10	odd	28
841.2.d.m.190.1		24	29.12	odd	4
841.2.d.m.190.4		24	29.17	odd	4
841.2.d.m.571.1		24	29.8	odd	28
841.2.d.m.571.4		24	29.21	odd	28
841.2.e.a.63.1		12	29.4	even	14
841.2.e.a.267.1		12	29.24	even	7
841.2.e.e.196.1		12	29.16	even	7
841.2.e.e.236.1		12	29.6	even	14
841.2.e.f.196.2		12	29.13	even	14
841.2.e.f.236.2		12	29.23	even	7
841.2.e.h.63.2		12	29.25	even	7
841.2.e.h.267.2		12	29.5	even	14
841.2.e.i.270.2		12	29.20	even	7
841.2.e.i.651.2		12	29.28	even	2
7569.2.a.bp.1.1		12	87.26	even	28
7569.2.a.bp.1.12		12	87.32	even	28

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:	\( N \)	\(=\)	\( 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	29.e (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.12916 + 2.34472i) q^{2} +(-0.343489 - 0.273923i) q^{3} +(-2.97573 - 3.73144i) q^{4} +(2.32488 + 1.11960i) q^{5} +(1.03013 - 0.496082i) q^{6} +(0.0468435 - 0.0587399i) q^{7} +(7.03485 - 1.60566i) q^{8} +(-0.624612 - 2.73660i) q^{9} +(-5.25031 + 4.18698i) q^{10} +(-3.68362 - 0.840763i) q^{11} +2.09683i q^{12} +(0.196040 - 0.858907i) q^{13} +(0.0848347 + 0.176161i) q^{14} +(-0.491885 - 1.02141i) q^{15} +(-2.05458 + 9.00172i) q^{16} +3.94108i q^{17} +(7.12185 + 1.62552i) q^{18} +(-0.557928 + 0.444933i) q^{19} +(-2.74047 - 12.0068i) q^{20} +(-0.0321804 + 0.00734497i) q^{21} +(6.13074 - 7.68771i) q^{22} +(-1.06102 + 0.510959i) q^{23} +(-2.85622 - 1.37548i) q^{24} +(1.03411 + 1.29673i) q^{25} +(1.79253 + 1.42950i) q^{26} +(-1.10694 + 2.29858i) q^{27} -0.358578 q^{28} +(-0.719302 + 5.33691i) q^{29} +2.95033 q^{30} +(2.23488 - 4.64077i) q^{31} +(-7.50351 - 5.98385i) q^{32} +(1.03498 + 1.29782i) q^{33} +(-9.24073 - 4.45010i) q^{34} +(0.174671 - 0.0841171i) q^{35} +(-8.35281 + 10.4741i) q^{36} +(3.01010 - 0.687035i) q^{37} +(-0.413254 - 1.81058i) q^{38} +(-0.302612 + 0.241325i) q^{39} +(18.1529 + 4.14328i) q^{40} -6.67122i q^{41} +(0.0191148 - 0.0837476i) q^{42} +(3.60715 + 7.49033i) q^{43} +(7.82420 + 16.2471i) q^{44} +(1.61176 - 7.06160i) q^{45} -3.06474i q^{46} +(-10.3265 - 2.35695i) q^{47} +(3.17151 - 2.52919i) q^{48} +(1.55639 + 6.81899i) q^{49} +(-4.20815 + 0.960482i) q^{50} +(1.07955 - 1.35372i) q^{51} +(-3.78832 + 1.82436i) q^{52} +(-5.00585 - 2.41069i) q^{53} +(-4.13962 - 5.19091i) q^{54} +(-7.62267 - 6.07887i) q^{55} +(0.235221 - 0.488441i) q^{56} +0.313519 q^{57} +(-11.7013 - 7.71277i) q^{58} +9.91885 q^{59} +(-2.34762 + 4.87488i) q^{60} +(2.78906 + 2.22420i) q^{61} +(8.35778 + 10.4803i) q^{62} +(-0.190007 - 0.0915024i) q^{63} +(5.86540 - 2.82463i) q^{64} +(1.41740 - 1.77737i) q^{65} +(-4.21168 + 0.961289i) q^{66} +(1.09916 + 4.81572i) q^{67} +(14.7059 - 11.7276i) q^{68} +(0.504411 + 0.115129i) q^{69} +0.504535i q^{70} +(1.09187 - 4.78379i) q^{71} +(-8.78811 - 18.2487i) q^{72} +(-3.86250 - 8.02056i) q^{73} +(-1.78797 + 7.83360i) q^{74} -0.728681i q^{75} +(3.32048 + 0.757878i) q^{76} +(-0.221940 + 0.176991i) q^{77} +(-0.224143 - 0.982034i) q^{78} +(12.8588 - 2.93495i) q^{79} +(-14.8550 + 18.6276i) q^{80} +(-6.57715 + 3.16739i) q^{81} +(15.6421 + 7.53285i) q^{82} +(10.5908 + 13.2805i) q^{83} +(0.123167 + 0.0982228i) q^{84} +(-4.41245 + 9.16255i) q^{85} -21.6357 q^{86} +(1.70898 - 1.63614i) q^{87} -27.2637 q^{88} +(2.94891 - 6.12348i) q^{89} +(14.7375 + 11.7528i) q^{90} +(-0.0412689 - 0.0517495i) q^{91} +(5.06391 + 2.43865i) q^{92} +(-2.03887 + 0.981869i) q^{93} +(17.1866 - 21.5513i) q^{94} +(-1.79526 + 0.409757i) q^{95} +(0.938257 + 4.11077i) q^{96} +(-8.92624 + 7.11844i) q^{97} +(-17.7460 - 4.05041i) q^{98} +10.6058i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q - 7 q^{2} - 7 q^{3} - q^{4} - q^{5} - 3 q^{6} - 11 q^{7} + 14 q^{8} - 3 q^{9} - 7 q^{10} + 7 q^{11} + 9 q^{13} - 7 q^{14} + 7 q^{15} + 9 q^{16} + 42 q^{18} - 7 q^{19} - 11 q^{20} - 7 q^{21} - 4 q^{22}+ \cdots - 42 q^{98}+O(q^{100}) \) 12 * q - 7 * q^2 - 7 * q^3 - q^4 - q^5 - 3 * q^6 - 11 * q^7 + 14 * q^8 - 3 * q^9 - 7 * q^10 + 7 * q^11 + 9 * q^13 - 7 * q^14 + 7 * q^15 + 9 * q^16 + 42 * q^18 - 7 * q^19 - 11 * q^20 - 7 * q^21 - 4 * q^22 - 5 * q^23 - 25 * q^24 + 13 * q^25 - 21 * q^26 - 7 * q^27 + 12 * q^28 - 15 * q^29 + 2 * q^30 - 21 * q^31 - 17 * q^33 - 13 * q^34 + 19 * q^35 - 40 * q^36 + 7 * q^37 + 28 * q^38 + 21 * q^39 + 35 * q^40 + 50 * q^42 + 7 * q^43 + 42 * q^44 + 16 * q^45 - 7 * q^47 - 14 * q^48 + 13 * q^49 - 28 * q^50 + 20 * q^51 - 6 * q^52 - 10 * q^53 - 38 * q^54 - 35 * q^55 - 21 * q^56 - 14 * q^57 - 57 * q^58 + 44 * q^59 - 28 * q^60 - 7 * q^61 + 37 * q^62 - 13 * q^63 - 26 * q^64 - 6 * q^65 + 21 * q^66 - 37 * q^67 + 14 * q^68 + 21 * q^69 - 21 * q^71 + 35 * q^72 + 14 * q^73 + 7 * q^76 - 7 * q^77 + 17 * q^78 + 49 * q^79 - 6 * q^80 + q^81 + 22 * q^82 + 5 * q^83 + 21 * q^84 + 14 * q^85 - 44 * q^86 + 15 * q^87 - 66 * q^88 + 7 * q^89 + 28 * q^90 - 3 * q^91 - 6 * q^92 + 19 * q^93 + 66 * q^94 - 7 * q^95 + 30 * q^96 + 14 * q^97 - 42 * q^98

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