LMFDB - Embedded newform 55.2.g.b.36.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [55,2,Mod(16,55)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(55, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 4]))

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

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

chi := DirichletCharacter("55.16");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 55 = 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	55.g (of order $5$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.439177211117$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{5})$
Coefficient field:	8.0.13140625.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - 3x^{7} + 5x^{6} - 3x^{5} + 4x^{4} + 3x^{3} + 5x^{2} + 3x + 1 $ x^8 - 3x^7 + 5x^6 - 3x^5 + 4x^4 + 3x^3 + 5x^2 + 3*x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			36.2
Root			$-0.227943 - 0.701538i$ of defining polynomial
Character	$\chi$	$=$	55.36
Dual form			55.2.g.b.26.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.596764 - 0.433574i) q^{2} +(-0.868820 - 2.67395i) q^{3} +(-0.449894 + 1.38463i) q^{4} +(0.809017 + 0.587785i) q^{5} +(-1.67784 - 1.21902i) q^{6} +(0.318714 - 0.980901i) q^{7} +(0.787747 + 2.42443i) q^{8} +(-3.96813 + 2.88301i) q^{9} +O(q^{10})$	\(q+(0.596764 - 0.433574i) q^{2} +(-0.868820 - 2.67395i) q^{3} +(-0.449894 + 1.38463i) q^{4} +(0.809017 + 0.587785i) q^{5} +(-1.67784 - 1.21902i) q^{6} +(0.318714 - 0.980901i) q^{7} +(0.787747 + 2.42443i) q^{8} +(-3.96813 + 2.88301i) q^{9} +0.737640 q^{10} +(1.93675 + 2.69240i) q^{11} +4.09331 q^{12} +(-2.79029 + 2.02726i) q^{13} +(-0.235096 - 0.723552i) q^{14} +(0.868820 - 2.67395i) q^{15} +(-0.834404 - 0.606230i) q^{16} +(-1.94020 - 1.40964i) q^{17} +(-1.11803 + 3.44095i) q^{18} +(-2.36979 - 7.29347i) q^{19} +(-1.17784 + 0.855749i) q^{20} -2.89979 q^{21} +(2.32313 + 0.767001i) q^{22} +2.45589 q^{23} +(5.79842 - 4.21280i) q^{24} +(0.309017 + 0.951057i) q^{25} +(-0.786174 + 2.41960i) q^{26} +(4.33283 + 3.14799i) q^{27} +(1.21480 + 0.882602i) q^{28} +(-1.83998 + 5.66289i) q^{29} +(-0.640877 - 1.97242i) q^{30} +(2.98382 - 2.16787i) q^{31} -5.85919 q^{32} +(5.51666 - 7.51798i) q^{33} -1.76902 q^{34} +(0.834404 - 0.606230i) q^{35} +(-2.20667 - 6.79144i) q^{36} +(1.84130 - 5.66694i) q^{37} +(-4.57646 - 3.32500i) q^{38} +(7.84507 + 5.69978i) q^{39} +(-0.787747 + 2.42443i) q^{40} +(1.21637 + 3.74360i) q^{41} +(-1.73049 + 1.25727i) q^{42} -7.64941 q^{43} +(-4.59931 + 1.47039i) q^{44} -4.90488 q^{45} +(1.46558 - 1.06481i) q^{46} +(1.80557 + 5.55697i) q^{47} +(-0.896084 + 2.75786i) q^{48} +(4.80253 + 3.48924i) q^{49} +(0.596764 + 0.433574i) q^{50} +(-2.08362 + 6.41272i) q^{51} +(-1.55168 - 4.77558i) q^{52} +(9.58526 - 6.96410i) q^{53} +3.95056 q^{54} +(-0.0156899 + 3.31659i) q^{55} +2.62920 q^{56} +(-17.4435 + 12.6734i) q^{57} +(1.35725 + 4.17718i) q^{58} +(0.910456 - 2.80210i) q^{59} +(3.31156 + 2.40599i) q^{60} +(-2.00666 - 1.45792i) q^{61} +(0.840701 - 2.58741i) q^{62} +(1.56325 + 4.81120i) q^{63} +(-1.82774 + 1.32793i) q^{64} -3.44899 q^{65} +(0.0325397 - 6.87834i) q^{66} -6.14702 q^{67} +(2.82471 - 2.05227i) q^{68} +(-2.13372 - 6.56693i) q^{69} +(0.235096 - 0.723552i) q^{70} +(-1.63676 - 1.18918i) q^{71} +(-10.1156 - 7.34938i) q^{72} +(-0.255207 + 0.785446i) q^{73} +(-1.35822 - 4.18017i) q^{74} +(2.27460 - 1.65259i) q^{75} +11.1649 q^{76} +(3.25824 - 1.04165i) q^{77} +7.15293 q^{78} +(9.77146 - 7.09938i) q^{79} +(-0.318714 - 0.980901i) q^{80} +(0.106048 - 0.326382i) q^{81} +(2.34901 + 1.70666i) q^{82} +(-1.30253 - 0.946345i) q^{83} +(1.30460 - 4.01513i) q^{84} +(-0.741089 - 2.28084i) q^{85} +(-4.56489 + 3.31659i) q^{86} +16.7409 q^{87} +(-5.00188 + 6.81645i) q^{88} +8.16116 q^{89} +(-2.92705 + 2.12663i) q^{90} +(1.09924 + 3.38312i) q^{91} +(-1.10489 + 3.40050i) q^{92} +(-8.38919 - 6.09510i) q^{93} +(3.48685 + 2.53335i) q^{94} +(2.36979 - 7.29347i) q^{95} +(5.09058 + 15.6672i) q^{96} +(-1.97625 + 1.43583i) q^{97} +4.37882 q^{98} +(-15.4475 - 5.10011i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q - 2 q^{2} - 5 q^{3} - 2 q^{4} + 2 q^{5} - 7 q^{6} - q^{7} + 4 q^{8} - 5 q^{9}+O(q^{10}) $ 8 * q - 2 * q^2 - 5 * q^3 - 2 * q^4 + 2 * q^5 - 7 * q^6 - q^7 + 4 * q^8 - 5 * q^9	\( 8 q - 2 q^{2} - 5 q^{3} - 2 q^{4} + 2 q^{5} - 7 q^{6} - q^{7} + 4 q^{8} - 5 q^{9} + 2 q^{10} + 3 q^{11} + 16 q^{12} - 2 q^{13} - 16 q^{14} + 5 q^{15} + 4 q^{16} - 13 q^{17} + 15 q^{19} - 3 q^{20} - 20 q^{21} - 7 q^{22} + 10 q^{23} + 13 q^{24} - 2 q^{25} + 10 q^{26} + 10 q^{27} - 6 q^{28} - 9 q^{29} - 8 q^{30} - 10 q^{31} + 16 q^{32} + 5 q^{33} + 4 q^{34} - 4 q^{35} - 15 q^{36} + 24 q^{37} + 21 q^{39} - 4 q^{40} + 8 q^{41} + 9 q^{42} - 38 q^{43} - 12 q^{44} + 3 q^{46} + 5 q^{48} + q^{49} - 2 q^{50} + q^{51} - 28 q^{52} + 13 q^{53} + 16 q^{54} + 7 q^{55} + 22 q^{56} - 45 q^{57} + 12 q^{58} - 27 q^{59} + 4 q^{60} + 6 q^{61} - 30 q^{62} + 25 q^{63} - 26 q^{64} + 2 q^{65} + 13 q^{66} - 38 q^{67} + 11 q^{68} - q^{69} + 16 q^{70} - 20 q^{71} - 30 q^{72} + 13 q^{73} + 20 q^{74} + 5 q^{75} + 34 q^{77} - 16 q^{78} + 37 q^{79} + q^{80} + 8 q^{81} + 28 q^{82} + 27 q^{83} + 28 q^{84} - 12 q^{85} - 3 q^{86} + 38 q^{87} - 36 q^{88} - 16 q^{89} - 10 q^{90} + 44 q^{91} + 11 q^{92} - 35 q^{93} + 17 q^{94} - 15 q^{95} - 17 q^{96} + 24 q^{97} + 16 q^{98} - 20 q^{99}+O(q^{100}) \) 8 * q - 2 * q^2 - 5 * q^3 - 2 * q^4 + 2 * q^5 - 7 * q^6 - q^7 + 4 * q^8 - 5 * q^9 + 2 * q^10 + 3 * q^11 + 16 * q^12 - 2 * q^13 - 16 * q^14 + 5 * q^15 + 4 * q^16 - 13 * q^17 + 15 * q^19 - 3 * q^20 - 20 * q^21 - 7 * q^22 + 10 * q^23 + 13 * q^24 - 2 * q^25 + 10 * q^26 + 10 * q^27 - 6 * q^28 - 9 * q^29 - 8 * q^30 - 10 * q^31 + 16 * q^32 + 5 * q^33 + 4 * q^34 - 4 * q^35 - 15 * q^36 + 24 * q^37 + 21 * q^39 - 4 * q^40 + 8 * q^41 + 9 * q^42 - 38 * q^43 - 12 * q^44 + 3 * q^46 + 5 * q^48 + q^49 - 2 * q^50 + q^51 - 28 * q^52 + 13 * q^53 + 16 * q^54 + 7 * q^55 + 22 * q^56 - 45 * q^57 + 12 * q^58 - 27 * q^59 + 4 * q^60 + 6 * q^61 - 30 * q^62 + 25 * q^63 - 26 * q^64 + 2 * q^65 + 13 * q^66 - 38 * q^67 + 11 * q^68 - q^69 + 16 * q^70 - 20 * q^71 - 30 * q^72 + 13 * q^73 + 20 * q^74 + 5 * q^75 + 34 * q^77 - 16 * q^78 + 37 * q^79 + q^80 + 8 * q^81 + 28 * q^82 + 27 * q^83 + 28 * q^84 - 12 * q^85 - 3 * q^86 + 38 * q^87 - 36 * q^88 - 16 * q^89 - 10 * q^90 + 44 * q^91 + 11 * q^92 - 35 * q^93 + 17 * q^94 - 15 * q^95 - 17 * q^96 + 24 * q^97 + 16 * q^98 - 20 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/55\mathbb{Z}\right)^\times$.

$n$	$12$	$46$
$\chi(n)$	$1$	$e\left(\frac{4}{5}\right)$

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 $

$2$	0.596764	−	0.433574i	0.421976	−	0.306583i	−0.356457	−	0.934312i	$-0.616015\pi$
$2$	0.596764	−	0.433574i	0.421976	−	0.306583i	0.778432	+	0.627729i	$0.216015\pi$
$3$	−0.868820	−	2.67395i	−0.501614	−	1.54381i	−0.806390	−	0.591384i	$-0.798582\pi$
$3$	−0.868820	−	2.67395i	−0.501614	−	1.54381i	0.304777	−	0.952424i	$-0.401418\pi$
$4$	−0.449894	+	1.38463i	−0.224947	+	0.692315i
$5$	0.809017	+	0.587785i	0.361803	+	0.262866i
$5$	0.809017	+	0.587785i	0.361803	+	0.262866i
$6$	−1.67784	−	1.21902i	−0.684974	−	0.497663i
$7$	0.318714	−	0.980901i	0.120463	−	0.370746i	−0.872585	−	0.488463i	$-0.837558\pi$
$7$	0.318714	−	0.980901i	0.120463	−	0.370746i	0.993047	+	0.117717i	$0.0375577\pi$
$8$	0.787747	+	2.42443i	0.278510	+	0.857167i
$9$	−3.96813	+	2.88301i	−1.32271	+	0.961005i
$10$	0.737640			0.233262
$11$	1.93675	+	2.69240i	0.583951	+	0.811789i
$11$	1.93675	+	2.69240i	0.583951	+	0.811789i
$12$	4.09331			1.18164
$13$	−2.79029	+	2.02726i	−0.773887	+	0.562262i	−0.903138	−	0.429350i	$-0.858743\pi$
$13$	−2.79029	+	2.02726i	−0.773887	+	0.562262i	0.129251	+	0.991612i	$0.458743\pi$
$14$	−0.235096	−	0.723552i	−0.0628321	−	0.193377i
$15$	0.868820	−	2.67395i	0.224328	−	0.690412i
$16$	−0.834404	−	0.606230i	−0.208601	−	0.151557i
$17$	−1.94020	−	1.40964i	−0.470567	−	0.341887i	0.327095	−	0.944991i	$-0.393930\pi$
$17$	−1.94020	−	1.40964i	−0.470567	−	0.341887i	−0.797662	+	0.603105i	$0.793930\pi$
$18$	−1.11803	+	3.44095i	−0.263523	+	0.811041i
$19$	−2.36979	−	7.29347i	−0.543668	−	1.67324i	−0.724137	−	0.689656i	$-0.757762\pi$
$19$	−2.36979	−	7.29347i	−0.543668	−	1.67324i	0.180470	−	0.983581i	$-0.442238\pi$
$20$	−1.17784	+	0.855749i	−0.263372	+	0.191351i
$21$	−2.89979			−0.632786
$22$	2.32313	+	0.767001i	0.495294	+	0.163525i
$23$	2.45589			0.512088			0.256044	−	0.966665i	$-0.417581\pi$
$23$	2.45589			0.512088			0.256044	+	0.966665i	$0.417581\pi$
$24$	5.79842	−	4.21280i	1.18360	−	0.859933i
$25$	0.309017	+	0.951057i	0.0618034	+	0.190211i
$26$	−0.786174	+	2.41960i	−0.154181	+	0.474522i
$27$	4.33283	+	3.14799i	0.833854	+	0.605830i
$28$	1.21480	+	0.882602i	0.229575	+	0.166796i
$29$	−1.83998	+	5.66289i	−0.341677	+	1.05157i	0.621663	+	0.783285i	$0.286458\pi$
$29$	−1.83998	+	5.66289i	−0.341677	+	1.05157i	−0.963339	+	0.268287i	$0.913542\pi$
$30$	−0.640877	−	1.97242i	−0.117008	−	0.360112i
$31$	2.98382	−	2.16787i	0.535909	−	0.389361i	−0.286654	−	0.958034i	$-0.592543\pi$
$31$	2.98382	−	2.16787i	0.535909	−	0.389361i	0.822564	+	0.568673i	$0.192543\pi$
$32$	−5.85919			−1.03577
$33$	5.51666	−	7.51798i	0.960328	−	1.30871i
$34$	−1.76902			−0.303384
$35$	0.834404	−	0.606230i	0.141040	−	0.102472i
$36$	−2.20667	−	6.79144i	−0.367779	−	1.13191i
$37$	1.84130	−	5.66694i	0.302708	−	0.931640i	−0.677814	−	0.735233i	$-0.737073\pi$
$37$	1.84130	−	5.66694i	0.302708	−	0.931640i	0.980523	−	0.196407i	$-0.0629273\pi$
$38$	−4.57646	−	3.32500i	−0.742401	−	0.539386i
$39$	7.84507	+	5.69978i	1.25622	+	0.912695i
$40$	−0.787747	+	2.42443i	−0.124554	+	0.383337i
$41$	1.21637	+	3.74360i	0.189965	+	0.584652i	0.999999	−	0.00173135i	$-0.000551106\pi$
$41$	1.21637	+	3.74360i	0.189965	+	0.584652i	−0.810033	+	0.586384i	$0.800551\pi$
$42$	−1.73049	+	1.25727i	−0.267020	+	0.194001i
$43$	−7.64941			−1.16652			−0.583262	−	0.812284i	$-0.698224\pi$
$43$	−7.64941			−1.16652			−0.583262	+	0.812284i	$0.698224\pi$
$44$	−4.59931	+	1.47039i	−0.693372	+	0.221669i
$45$	−4.90488			−0.731176
$46$	1.46558	−	1.06481i	0.216089	−	0.156998i
$47$	1.80557	+	5.55697i	0.263369	+	0.810567i	0.992065	+	0.125729i	$0.0401270\pi$
$47$	1.80557	+	5.55697i	0.263369	+	0.810567i	−0.728695	+	0.684838i	$0.759873\pi$
$48$	−0.896084	+	2.75786i	−0.129339	+	0.398063i
$49$	4.80253	+	3.48924i	0.686076	+	0.498463i
$50$	0.596764	+	0.433574i	0.0843951	+	0.0613166i
$51$	−2.08362	+	6.41272i	−0.291765	+	0.897960i
$52$	−1.55168	−	4.77558i	−0.215179	−	0.662253i
$53$	9.58526	−	6.96410i	1.31664	−	0.956592i	0.316669	−	0.948536i	$-0.397436\pi$
$53$	9.58526	−	6.96410i	1.31664	−	0.956592i	0.999968	−	0.00805607i	$-0.00256435\pi$
$54$	3.95056			0.537603
$55$	−0.0156899	+	3.31659i	−0.00211563	+	0.447209i
$56$	2.62920			0.351341
$57$	−17.4435	+	12.6734i	−2.31044	+	1.67864i
$58$	1.35725	+	4.17718i	0.178215	+	0.548490i
$59$	0.910456	−	2.80210i	0.118531	−	0.364802i	−0.874136	−	0.485681i	$-0.838572\pi$
$59$	0.910456	−	2.80210i	0.118531	−	0.364802i	0.992667	+	0.120880i	$0.0385715\pi$
$60$	3.31156	+	2.40599i	0.427521	+	0.310612i
$61$	−2.00666	−	1.45792i	−0.256927	−	0.186668i	0.451864	−	0.892087i	$-0.350759\pi$
$61$	−2.00666	−	1.45792i	−0.256927	−	0.186668i	−0.708791	+	0.705419i	$0.750759\pi$
$62$	0.840701	−	2.58741i	0.106769	−	0.328602i
$63$	1.56325	+	4.81120i	0.196951	+	0.606154i
$64$	−1.82774	+	1.32793i	−0.228468	+	0.165992i
$65$	−3.44899			−0.427794
$66$	0.0325397	−	6.87834i	0.00400536	−	0.846665i
$67$	−6.14702			−0.750978			−0.375489	−	0.926827i	$-0.622525\pi$
$67$	−6.14702			−0.750978			−0.375489	+	0.926827i	$0.622525\pi$
$68$	2.82471	−	2.05227i	0.342546	−	0.248874i
$69$	−2.13372	−	6.56693i	−0.256870	−	0.790565i
$70$	0.235096	−	0.723552i	0.0280994	−	0.0864810i
$71$	−1.63676	−	1.18918i	−0.194248	−	0.141129i	0.486410	−	0.873731i	$-0.338306\pi$
$71$	−1.63676	−	1.18918i	−0.194248	−	0.141129i	−0.680658	+	0.732601i	$0.738306\pi$
$72$	−10.1156	−	7.34938i	−1.19213	−	0.866133i
$73$	−0.255207	+	0.785446i	−0.0298697	+	0.0919295i	−0.964880	−	0.262691i	$-0.915390\pi$
$73$	−0.255207	+	0.785446i	−0.0298697	+	0.0919295i	0.935010	+	0.354621i	$0.115390\pi$
$74$	−1.35822	−	4.18017i	−0.157890	−	0.485934i
$75$	2.27460	−	1.65259i	0.262648	−	0.190825i
$76$	11.1649			1.28070
$77$	3.25824	−	1.04165i	0.371311	−	0.118707i
$78$	7.15293			0.809910
$79$	9.77146	−	7.09938i	1.09937	−	0.798742i	0.118417	−	0.992964i	$-0.462218\pi$
$79$	9.77146	−	7.09938i	1.09937	−	0.798742i	0.980958	+	0.194221i	$0.0622180\pi$
$80$	−0.318714	−	0.980901i	−0.0356333	−	0.109668i
$81$	0.106048	−	0.326382i	0.0117831	−	0.0362647i
$82$	2.34901	+	1.70666i	0.259405	+	0.188469i
$83$	−1.30253	−	0.946345i	−0.142971	−	0.103875i	0.514000	−	0.857790i	$-0.328163\pi$
$83$	−1.30253	−	0.946345i	−0.142971	−	0.103875i	−0.656972	+	0.753915i	$0.728163\pi$
$84$	1.30460	−	4.01513i	0.142343	−	0.438087i
$85$	−0.741089	−	2.28084i	−0.0803824	−	0.247392i
$86$	−4.56489	+	3.31659i	−0.492245	+	0.357637i
$87$	16.7409			1.79481
$88$	−5.00188	+	6.81645i	−0.533202	+	0.726636i
$89$	8.16116			0.865081			0.432541	−	0.901614i	$-0.357617\pi$
$89$	8.16116			0.865081			0.432541	+	0.901614i	$0.357617\pi$
$90$	−2.92705	+	2.12663i	−0.308538	+	0.224166i
$91$	1.09924	+	3.38312i	0.115232	+	0.354647i
$92$	−1.10489	+	3.40050i	−0.115193	+	0.354526i
$93$	−8.38919	−	6.09510i	−0.869918	−	0.632032i
$94$	3.48685	+	2.53335i	0.359642	+	0.261295i
$95$	2.36979	−	7.29347i	0.243136	−	0.748294i
$96$	5.09058	+	15.6672i	0.519555	+	1.59903i
$97$	−1.97625	+	1.43583i	−0.200658	+	0.145787i	−0.683577	−	0.729879i	$-0.739577\pi$
$97$	−1.97625	+	1.43583i	−0.200658	+	0.145787i	0.482919	+	0.875665i	$0.339577\pi$
$98$	4.37882			0.442328
$99$	−15.4475	−	5.10011i	−1.55253	−	0.512580i
$100$	−1.45589			−0.145589
$101$	6.08683	−	4.42234i	0.605662	−	0.440039i	−0.242222	−	0.970221i	$-0.577876\pi$
$101$	6.08683	−	4.42234i	0.605662	−	0.440039i	0.847884	+	0.530182i	$0.177876\pi$
$102$	1.53696	+	4.73028i	0.152182	+	0.468367i
$103$	−2.93020	+	9.01821i	−0.288721	+	0.888591i	0.696538	+	0.717520i	$0.254723\pi$
$103$	−2.93020	+	9.01821i	−0.288721	+	0.888591i	−0.985259	+	0.171071i	$0.945277\pi$
$104$	−7.11301	−	5.16791i	−0.697488	−	0.506755i
$105$	−2.34598	−	1.70445i	−0.228944	−	0.166338i
$106$	2.70068	−	8.31184i	0.262313	−	0.807317i
$107$	−1.43593	−	4.41935i	−0.138817	−	0.427235i	0.857347	−	0.514739i	$-0.172111\pi$
$107$	−1.43593	−	4.41935i	−0.138817	−	0.427235i	−0.996164	+	0.0875039i	$0.972111\pi$
$108$	−6.30811	+	4.58311i	−0.606998	+	0.441010i
$109$	−5.32826			−0.510355			−0.255178	−	0.966894i	$-0.582134\pi$
$109$	−5.32826			−0.510355			−0.255178	+	0.966894i	$0.582134\pi$
$110$	1.42862	+	1.98602i	0.136214	+	0.189360i
$111$	−16.7529			−1.59012
$112$	−0.860587	+	0.625253i	−0.0813179	+	0.0590809i
$113$	0.0942195	+	0.289978i	0.00886342	+	0.0272788i	0.955390	−	0.295346i	$-0.0954349\pi$
$113$	0.0942195	+	0.289978i	0.00886342	+	0.0272788i	−0.946527	+	0.322625i	$0.895435\pi$
$114$	−4.91476	+	15.1261i	−0.460310	+	1.41669i
$115$	1.98685	+	1.44353i	0.185275	+	0.134610i
$116$	−7.01321	−	5.09540i	−0.651160	−	0.473096i
$117$	5.22760	−	16.0889i	0.483292	−	1.48742i
$118$	−0.671589	−	2.06694i	−0.0618248	−	0.190277i
$119$	−2.00108	+	1.45387i	−0.183439	+	0.133276i
$120$	7.16724			0.654276
$121$	−3.49802	+	10.4290i	−0.318001	+	0.948090i
$122$	−1.82962			−0.165646
$123$	8.95341	−	6.50503i	0.807302	−	0.586539i
$124$	1.65930	+	5.10680i	0.149009	+	0.458604i
$125$	−0.309017	+	0.951057i	−0.0276393	+	0.0850651i
$126$	3.01890	+	2.19336i	0.268945	+	0.195400i
$127$	9.63536	+	7.00050i	0.855000	+	0.621194i	0.926520	−	0.376245i	$-0.122785\pi$
$127$	9.63536	+	7.00050i	0.855000	+	0.621194i	−0.0715199	+	0.997439i	$0.522785\pi$
$128$	3.10621	−	9.55992i	0.274552	−	0.844985i
$129$	6.64596	+	20.4542i	0.585145	+	1.80089i
$130$	−2.05823	+	1.49539i	−0.180519	+	0.131155i
$131$	−11.1875			−0.977452			−0.488726	−	0.872437i	$-0.662538\pi$
$131$	−11.1875			−0.977452			−0.488726	+	0.872437i	$0.662538\pi$
$132$	7.92772	+	11.0208i	0.690019	+	0.959240i
$133$	−7.90945			−0.685837
$134$	−3.66832	+	2.66519i	−0.316894	+	0.230237i
$135$	1.65499	+	5.09355i	0.142439	+	0.438383i
$136$	1.88919	−	5.81432i	0.161996	−	0.498573i
$137$	3.46360	+	2.51645i	0.295915	+	0.214995i	0.725829	−	0.687875i	$-0.241456\pi$
$137$	3.46360	+	2.51645i	0.295915	+	0.214995i	−0.429914	+	0.902870i	$0.641456\pi$
$138$	−4.12058	−	2.99378i	−0.350767	−	0.254847i
$139$	−1.83964	+	5.66183i	−0.156036	+	0.480230i	−0.998264	−	0.0588913i	$-0.981243\pi$
$139$	−1.83964	+	5.66183i	−0.156036	+	0.480230i	0.842228	+	0.539121i	$0.181243\pi$
$140$	0.464011	+	1.42808i	0.0392161	+	0.120695i
$141$	13.2904	−	9.65601i	1.11925	−	0.813183i
$142$	−1.49235			−0.125236
$143$	−10.8623	−	3.58627i	−0.908351	−	0.299899i
$144$	5.05879			0.421566
$145$	−4.81714	+	3.49986i	−0.400042	+	0.290647i
$146$	0.188251	+	0.579377i	0.0155798	+	0.0479495i
$147$	5.15754	−	15.8733i	0.425387	−	1.30921i
$148$	7.01823	+	5.09905i	0.576895	+	0.419139i
$149$	3.06168	+	2.22444i	0.250823	+	0.182233i	0.706091	−	0.708121i	$-0.250457\pi$
$149$	3.06168	+	2.22444i	0.250823	+	0.182233i	−0.455269	+	0.890354i	$0.650457\pi$
$150$	0.640877	−	1.97242i	0.0523274	−	0.161047i
$151$	−7.52661	−	23.1645i	−0.612507	−	1.88510i	−0.433159	−	0.901317i	$-0.642601\pi$
$151$	−7.52661	−	23.1645i	−0.612507	−	1.88510i	−0.179348	−	0.983786i	$-0.557399\pi$
$152$	15.8157	−	11.4908i	1.28283	−	0.932028i
$153$	11.7629			0.950978
$154$	1.49277	−	2.03431i	0.120291	−	0.163929i
$155$	3.68820			0.296243
$156$	−11.4215	+	8.29823i	−0.914455	+	0.664390i
$157$	2.23484	+	6.87813i	0.178360	+	0.548935i	0.999771	−	0.0214015i	$-0.00681284\pi$
$157$	2.23484	+	6.87813i	0.178360	+	0.548935i	−0.821411	+	0.570336i	$0.806813\pi$
$158$	2.75314	−	8.47330i	0.219028	−	0.674100i
$159$	−26.9495	−	19.5800i	−2.13724	−	1.55279i
$160$	−4.74018	−	3.44395i	−0.374744	−	0.272268i
$161$	0.782725	−	2.40898i	0.0616874	−	0.189854i
$162$	−0.0782252	−	0.240753i	−0.00614596	−	0.0189153i
$163$	−15.1198	+	10.9852i	−1.18428	+	0.860428i	−0.992648	−	0.121039i	$-0.961377\pi$
$163$	−15.1198	+	10.9852i	−1.18428	+	0.860428i	−0.191630	+	0.981467i	$0.561377\pi$
$164$	−5.73074			−0.447496
$165$	8.88203	−	2.83956i	0.691465	−	0.221060i
$166$	−1.18761			−0.0921767
$167$	−6.35343	+	4.61604i	−0.491644	+	0.357200i	−0.805816	−	0.592166i	$-0.798273\pi$
$167$	−6.35343	+	4.61604i	−0.491644	+	0.357200i	0.314172	+	0.949366i	$0.398273\pi$
$168$	−2.28430	−	7.03035i	−0.176237	−	0.542403i
$169$	−0.341302	+	1.05042i	−0.0262540	+	0.0808014i
$170$	−1.43117	−	1.03980i	−0.109766	−	0.0797493i
$171$	30.4308	+	22.1093i	2.32710	+	1.69074i
$172$	3.44142	−	10.5916i	0.262406	−	0.807603i
$173$	3.46244	+	10.6563i	0.263244	+	0.810183i	0.992093	+	0.125508i	$0.0400560\pi$
$173$	3.46244	+	10.6563i	0.263244	+	0.810183i	−0.728848	+	0.684675i	$0.759944\pi$
$174$	9.99037	−	7.25843i	0.757368	−	0.550260i
$175$	1.03138			0.0779650
$176$	0.0161823	−	3.42066i	0.00121979	−	0.257842i
$177$	−8.28370			−0.622641
$178$	4.87028	−	3.53847i	0.365043	−	0.265219i
$179$	0.452595	+	1.39295i	0.0338286	+	0.104114i	0.966545	−	0.256497i	$-0.0825684\pi$
$179$	0.452595	+	1.39295i	0.0338286	+	0.104114i	−0.932716	+	0.360611i	$0.882568\pi$
$180$	2.20667	−	6.79144i	0.164476	−	0.506204i
$181$	−7.51496	−	5.45994i	−0.558583	−	0.405834i	0.272357	−	0.962196i	$-0.412197\pi$
$181$	−7.51496	−	5.45994i	−0.558583	−	0.405834i	−0.830940	+	0.556362i	$0.812197\pi$
$182$	2.12282	+	1.54232i	0.157354	+	0.114324i
$183$	−2.15499	+	6.63239i	−0.159302	+	0.490280i
$184$	1.93462	+	5.95414i	0.142622	+	0.438945i
$185$	4.82059	−	3.50236i	0.354417	−	0.257499i
$186$	−7.64904			−0.560855
$187$	0.0376278	−	7.95389i	0.00275162	−	0.581646i
$188$	−8.50666			−0.620412
$189$	4.46880	−	3.24677i	0.325057	−	0.236168i
$190$	−1.74805	−	5.37996i	−0.126817	−	0.390303i
$191$	−1.38222	+	4.25404i	−0.100014	+	0.307811i	−0.988528	−	0.151038i	$-0.951738\pi$
$191$	−1.38222	+	4.25404i	−0.100014	+	0.307811i	0.888514	+	0.458850i	$0.151738\pi$
$192$	5.13881	+	3.73357i	0.370862	+	0.269447i
$193$	18.3372	+	13.3227i	1.31994	+	0.958992i	0.999933	+	0.0115772i	$0.00368521\pi$
$193$	18.3372	+	13.3227i	1.31994	+	0.958992i	0.320007	+	0.947415i	$0.396315\pi$
$194$	−0.556816	+	1.71370i	−0.0399771	+	0.123037i
$195$	2.99655	+	9.22244i	0.214587	+	0.660432i
$196$	−6.99194	+	5.07994i	−0.499424	+	0.362853i
$197$	−11.2080			−0.798535			−0.399267	−	0.916835i	$-0.630735\pi$
$197$	−11.2080			−0.798535			−0.399267	+	0.916835i	$0.630735\pi$
$198$	−11.4298	+	3.65407i	−0.812278	+	0.259683i
$199$	−7.81979			−0.554330			−0.277165	−	0.960822i	$-0.589395\pi$
$199$	−7.81979			−0.554330			−0.277165	+	0.960822i	$0.589395\pi$
$200$	−2.06235	+	1.49838i	−0.145830	+	0.105952i
$201$	5.34065	+	16.4368i	0.376701	+	1.15937i
$202$	1.71499	−	5.27818i	0.120666	−	0.371372i
$203$	4.96830	+	3.60968i	0.348707	+	0.253350i
$204$	−7.94184	−	5.77008i	−0.556040	−	0.403987i
$205$	−1.21637	+	3.74360i	−0.0849550	+	0.261464i
$206$	2.16143	+	6.65220i	0.150594	+	0.463481i
$207$	−9.74527	+	7.08035i	−0.677343	+	0.492119i
$208$	3.55722			0.246649
$209$	15.0472	−	20.5060i	1.04084	−	1.41843i
$210$	−2.13900			−0.147605
$211$	18.4189	−	13.3821i	1.26801	−	0.921262i	0.268887	−	0.963172i	$-0.413344\pi$
$211$	18.4189	−	13.3821i	1.26801	−	0.921262i	0.999121	+	0.0419098i	$0.0133442\pi$
$212$	5.33035	+	16.4051i	0.366090	+	1.12671i
$213$	−1.75775	+	5.40980i	−0.120439	+	0.370673i
$214$	−2.77303	−	2.01472i	−0.189560	−	0.137724i
$215$	−6.18851	−	4.49621i	−0.422053	−	0.306639i
$216$	−4.21891	+	12.9845i	−0.287061	+	0.883482i
$217$	−1.17548	−	3.61776i	−0.0797969	−	0.245589i
$218$	−3.17971	+	2.31020i	−0.215357	+	0.156466i
$219$	2.32197			0.156905
$220$	−4.58519	−	1.51384i	−0.309133	−	0.102063i
$221$	8.27142			0.556396
$222$	−9.99752	+	7.26363i	−0.670990	+	0.487503i
$223$	−4.95746	−	15.2575i	−0.331976	−	1.02172i	−0.968192	−	0.250207i	$-0.919501\pi$
$223$	−4.95746	−	15.2575i	−0.331976	−	1.02172i	0.636216	−	0.771511i	$-0.280499\pi$
$224$	−1.86741	+	5.74728i	−0.124771	+	0.384006i
$225$	−3.96813	−	2.88301i	−0.264542	−	0.192201i
$226$	0.181954	+	0.132197i	0.0121034	+	0.00879361i
$227$	−7.46468	+	22.9739i	−0.495448	+	1.52483i	0.320809	+	0.947144i	$0.396045\pi$
$227$	−7.46468	+	22.9739i	−0.495448	+	1.52483i	−0.816257	+	0.577689i	$0.803955\pi$
$228$	−9.70030	−	29.8545i	−0.642418	−	1.97716i
$229$	12.1468	−	8.82517i	0.802684	−	0.583184i	−0.109017	−	0.994040i	$-0.534770\pi$
$229$	12.1468	−	8.82517i	0.802684	−	0.583184i	0.911700	+	0.410856i	$0.134770\pi$
$230$	1.81156			0.119451
$231$	−5.61616	−	7.80738i	−0.369516	−	0.513688i
$232$	−15.1787			−0.996534
$233$	−9.24378	+	6.71600i	−0.605580	+	0.439980i	−0.847855	−	0.530228i	$-0.822106\pi$
$233$	−9.24378	+	6.71600i	−0.605580	+	0.439980i	0.242275	+	0.970208i	$0.422106\pi$
$234$	−3.85609	−	11.8678i	−0.252080	−	0.775823i
$235$	−1.80557	+	5.55697i	−0.117782	+	0.362497i
$236$	3.47026	+	2.52129i	0.225895	+	0.164122i
$237$	−27.4730	−	19.9603i	−1.78457	−	1.29656i
$238$	−0.563811	+	1.73523i	−0.0365465	+	0.112478i
$239$	8.46914	+	26.0653i	0.547823	+	1.68603i	0.714181	+	0.699961i	$0.246799\pi$
$239$	8.46914	+	26.0653i	0.547823	+	1.68603i	−0.166358	+	0.986065i	$0.553201\pi$
$240$	−2.34598	+	1.70445i	−0.151432	+	0.110022i
$241$	10.9387			0.704624			0.352312	−	0.935883i	$-0.385396\pi$
$241$	10.9387			0.704624			0.352312	+	0.935883i	$0.385396\pi$
$242$	2.43425	+	7.74029i	0.156480	+	0.497565i
$243$	15.1022			0.968804
$244$	2.92147	−	2.12257i	0.187028	−	0.135884i
$245$	1.83440	+	5.64571i	0.117196	+	0.360691i
$246$	2.52265	−	7.76393i	0.160839	−	0.495010i
$247$	21.3982	+	15.5467i	1.36154	+	0.989213i
$248$	7.60635	+	5.52634i	0.483004	+	0.350923i
$249$	−1.39882	+	4.30511i	−0.0886463	+	0.272825i
$250$	0.227943	+	0.701538i	0.0144164	+	0.0443691i
$251$	−13.9403	+	10.1282i	−0.879902	+	0.639286i	−0.933225	−	0.359291i	$-0.883018\pi$
$251$	−13.9403	+	10.1282i	−0.879902	+	0.639286i	0.0533238	+	0.998577i	$0.483018\pi$
$252$	−7.36503			−0.463953
$253$	4.75643	+	6.61222i	0.299034	+	0.415707i
$254$	8.78527			0.551237
$255$	−5.45498	+	3.96328i	−0.341604	+	0.248190i
$256$	−3.68753	−	11.3491i	−0.230471	−	0.709316i
$257$	5.71540	−	17.5902i	0.356517	−	1.09725i	−0.598608	−	0.801042i	$-0.704279\pi$
$257$	5.71540	−	17.5902i	0.356517	−	1.09725i	0.955125	−	0.296204i	$-0.0957207\pi$
$258$	12.8345	+	9.32479i	0.799039	+	0.580536i
$259$	−4.97186	−	3.61227i	−0.308936	−	0.224455i
$260$	1.55168	−	4.77558i	0.0962310	−	0.296169i
$261$	−9.02489	−	27.7758i	−0.558627	−	1.71928i
$262$	−6.67626	+	4.85059i	−0.412461	+	0.299670i
$263$	3.69135			0.227618			0.113809	−	0.993503i	$-0.463695\pi$
$263$	3.69135			0.227618			0.113809	+	0.993503i	$0.463695\pi$
$264$	22.5726	+	7.45252i	1.38925	+	0.458671i
$265$	11.8480			0.727819
$266$	−4.72007	+	3.42933i	−0.289406	+	0.210266i
$267$	−7.09058	−	21.8226i	−0.433937	−	1.33552i
$268$	2.76550	−	8.51135i	0.168930	−	0.519913i
$269$	8.04575	+	5.84558i	0.490558	+	0.356411i	0.805399	−	0.592733i	$-0.201951\pi$
$269$	8.04575	+	5.84558i	0.490558	+	0.356411i	−0.314841	+	0.949145i	$0.601951\pi$
$270$	3.19607	+	2.32208i	0.194507	+	0.141317i
$271$	0.387400	−	1.19229i	0.0235329	−	0.0724267i	−0.938600	−	0.345006i	$-0.887877\pi$
$271$	0.387400	−	1.19229i	0.0235329	−	0.0724267i	0.962133	+	0.272580i	$0.0878768\pi$
$272$	0.764345	+	2.35241i	0.0463452	+	0.142636i
$273$	8.09125	−	5.87864i	0.489705	−	0.355791i
$274$	3.15802			0.190783
$275$	−1.96213	+	2.67395i	−0.118321	+	0.161245i
$276$	10.0527			0.605102
$277$	6.54763	−	4.75713i	0.393409	−	0.285828i	−0.373442	−	0.927654i	$-0.621823\pi$
$277$	6.54763	−	4.75713i	0.393409	−	0.285828i	0.766851	+	0.641825i	$0.221823\pi$
$278$	1.35699	+	4.17639i	0.0813870	+	0.250483i
$279$	−5.59017	+	17.2048i	−0.334675	+	1.03002i
$280$	2.12706	+	1.54540i	0.127116	+	0.0923554i
$281$	−20.5250	−	14.9123i	−1.22442	−	0.889591i	−0.227958	−	0.973671i	$-0.573205\pi$
$281$	−20.5250	−	14.9123i	−1.22442	−	0.889591i	−0.996459	+	0.0840804i	$0.973205\pi$
$282$	3.74461	−	11.5247i	0.222988	−	0.686286i
$283$	−6.31705	−	19.4419i	−0.375510	−	1.15570i	−0.943134	−	0.332412i	$-0.892137\pi$
$283$	−6.31705	−	19.4419i	−0.375510	−	1.15570i	0.567624	−	0.823288i	$-0.307863\pi$
$284$	2.38294	−	1.73131i	0.141401	−	0.102734i
$285$	−21.5613			−1.27718
$286$	−8.03714	+	2.56945i	−0.475246	+	0.151935i
$287$	4.05977			0.239641
$288$	23.2500	−	16.8921i	1.37002	−	0.995378i
$289$	−3.47600	−	10.6980i	−0.204470	−	0.629295i
$290$	−1.35725	+	4.17718i	−0.0797003	+	0.245292i
$291$	5.55635	+	4.03693i	0.325719	+	0.236649i
$292$	−0.972737	−	0.706734i	−0.0569251	−	0.0413585i
$293$	0.787705	−	2.42431i	0.0460182	−	0.141630i	−0.925407	−	0.378974i	$-0.876277\pi$
$293$	0.787705	−	2.42431i	0.0460182	−	0.141630i	0.971426	+	0.237344i	$0.0762770\pi$
$294$	−3.80441	−	11.7088i	−0.221878	−	0.682869i
$295$	2.38361	−	1.73179i	0.138779	−	0.100829i
$296$	15.1896			0.882878
$297$	−0.0840302	+	17.7626i	−0.00487593	+	1.03069i
$298$	2.79156			0.161711
$299$	−6.85264	+	4.97873i	−0.396298	+	0.287928i
$300$	1.26490	+	3.89297i	0.0730293	+	0.224761i
$301$	−2.43797	+	7.50331i	−0.140523	+	0.432484i
$302$	−14.5352	−	10.5604i	−0.836404	−	0.607683i
$303$	−17.1135	−	12.4337i	−0.983144	−	0.714296i
$304$	−2.44416	+	7.52234i	−0.140182	+	0.431436i
$305$	−0.766476	−	2.35897i	−0.0438883	−	0.135074i
$306$	7.01970	−	5.10011i	0.401289	−	0.291554i
$307$	8.99273			0.513242			0.256621	−	0.966512i	$-0.417391\pi$
$307$	8.99273			0.513242			0.256621	+	0.966512i	$0.417391\pi$
$308$	−0.0235596	+	4.98010i	−0.00134243	+	0.283767i
$309$	26.6601			1.51664
$310$	2.20098	−	1.59911i	0.125008	−	0.0908233i
$311$	−6.21840	−	19.1383i	−0.352613	−	1.08523i	−0.957380	−	0.288830i	$-0.906734\pi$
$311$	−6.21840	−	19.1383i	−0.352613	−	1.08523i	0.604767	−	0.796402i	$-0.293266\pi$
$312$	−7.63881	+	23.5098i	−0.432463	+	1.33098i
$313$	−5.74792	−	4.17611i	−0.324892	−	0.236048i	0.413368	−	0.910564i	$-0.364352\pi$
$313$	−5.74792	−	4.17611i	−0.324892	−	0.236048i	−0.738260	+	0.674516i	$0.764352\pi$
$314$	4.31585	+	3.13565i	0.243558	+	0.176955i
$315$	−1.56325	+	4.81120i	−0.0880793	+	0.271080i
$316$	5.43390	+	16.7238i	0.305681	+	0.940789i
$317$	−1.85526	+	1.34793i	−0.104202	+	0.0757071i	−0.638666	−	0.769484i	$-0.720513\pi$
$317$	−1.85526	+	1.34793i	−0.104202	+	0.0757071i	0.534464	+	0.845191i	$0.320513\pi$
$318$	−24.5719			−1.37792
$319$	−18.8103	+	6.01362i	−1.05318	+	0.336698i
$320$	−2.25922			−0.126294
$321$	−10.5696	+	7.67924i	−0.589936	+	0.428613i
$322$	−0.577370	−	1.77696i	−0.0321756	−	0.0990262i
$323$	−5.68327	+	17.4913i	−0.316226	+	0.973242i
$324$	0.404208	+	0.293674i	0.0224560	+	0.0163152i
$325$	−2.79029	−	2.02726i	−0.154777	−	0.112452i
$326$	−4.26007	+	13.1111i	−0.235943	+	0.726159i
$327$	4.62930	+	14.2475i	0.256001	+	0.787890i
$328$	−8.11793	+	5.89802i	−0.448237	+	0.325664i
$329$	6.02629			0.332240
$330$	4.06931	−	5.54557i	0.224008	−	0.305273i
$331$	15.3951			0.846192			0.423096	−	0.906085i	$-0.360943\pi$
$331$	15.3951			0.846192			0.423096	+	0.906085i	$0.360943\pi$
$332$	1.89634	−	1.37777i	0.104075	−	0.0756150i
$333$	9.03136	+	27.7957i	0.494915	+	1.52319i
$334$	−1.79010	+	5.50937i	−0.0979501	+	0.301459i
$335$	−4.97304	−	3.61313i	−0.271706	−	0.197406i
$336$	2.41959	+	1.75794i	0.132000	+	0.0959034i
$337$	−6.02485	+	18.5426i	−0.328195	+	1.01008i	0.641783	+	0.766886i	$0.278195\pi$
$337$	−6.02485	+	18.5426i	−0.328195	+	1.01008i	−0.969978	+	0.243193i	$0.921805\pi$
$338$	0.251758	+	0.774831i	0.0136938	+	0.0421453i
$339$	0.693527	−	0.503877i	0.0376672	−	0.0273668i
$340$	3.49153			0.189355
$341$	11.6157	+	3.83501i	0.629024	+	0.207677i
$342$	27.7460			1.50033
$343$	10.7941	−	7.84234i	0.582825	−	0.423447i
$344$	−6.02580	−	18.5455i	−0.324889	−	0.999907i
$345$	2.13372	−	6.56693i	0.114876	−	0.353551i
$346$	6.68655	+	4.85806i	0.359471	+	0.261171i
$347$	1.75479	+	1.27493i	0.0942023	+	0.0684420i	0.633889	−	0.773424i	$-0.281457\pi$
$347$	1.75479	+	1.27493i	0.0942023	+	0.0684420i	−0.539687	+	0.841866i	$0.681457\pi$
$348$	−7.53163	+	23.1800i	−0.403738	+	1.24258i
$349$	−7.74150	−	23.8259i	−0.414393	−	1.27537i	−0.912793	−	0.408423i	$-0.866079\pi$
$349$	−7.74150	−	23.8259i	−0.414393	−	1.27537i	0.498400	−	0.866947i	$-0.333921\pi$
$350$	0.615490	−	0.447180i	0.0328993	−	0.0239028i
$351$	−18.4717			−0.985944
$352$	−11.3478	−	15.7753i	−0.604838	−	0.840825i
$353$	−23.2532			−1.23764			−0.618821	−	0.785532i	$-0.712389\pi$
$353$	−23.2532			−1.23764			−0.618821	+	0.785532i	$0.712389\pi$
$354$	−4.94341	+	3.59160i	−0.262739	+	0.190891i
$355$	−0.625187	−	1.92413i	−0.0331815	−	0.102122i
$356$	−3.67166	+	11.3002i	−0.194597	+	0.598909i
$357$	5.62616	+	4.08764i	0.297768	+	0.216341i
$358$	0.874037	+	0.635025i	0.0461943	+	0.0335621i
$359$	3.12799	−	9.62695i	0.165089	−	0.508091i	−0.833954	−	0.551834i	$-0.813928\pi$
$359$	3.12799	−	9.62695i	0.165089	−	0.508091i	0.999043	+	0.0437429i	$0.0139282\pi$
$360$	−3.86380	−	11.8916i	−0.203640	−	0.626740i
$361$	−32.2075	+	23.4001i	−1.69513	+	1.23158i
$362$	−6.85194			−0.360130
$363$	30.9258	+	0.292611i	1.62318	+	0.0153581i
$364$	−5.17891			−0.271448
$365$	−0.668140	+	0.485432i	−0.0349721	+	0.0254087i
$366$	1.58961	+	4.89232i	0.0830903	+	0.255726i
$367$	1.14622	−	3.52770i	0.0598322	−	0.184145i	−0.916673	−	0.399638i	$-0.869136\pi$
$367$	1.14622	−	3.52770i	0.0598322	−	0.184145i	0.976505	+	0.215493i	$0.0691359\pi$
$368$	−2.04920	−	1.48883i	−0.106822	−	0.0776107i
$369$	−15.6196	−	11.3483i	−0.813122	−	0.590768i
$370$	1.35822	−	4.18017i	0.0706104	−	0.217316i
$371$	−3.77613	−	11.6217i	−0.196047	−	0.603371i
$372$	12.2137	−	8.87378i	0.633251	−	0.460084i
$373$	−9.34017			−0.483616			−0.241808	−	0.970324i	$-0.577740\pi$
$373$	−9.34017			−0.483616			−0.241808	+	0.970324i	$0.577740\pi$
$374$	−3.42615	−	4.76291i	−0.177162	−	0.246284i
$375$	2.81156			0.145188
$376$	−12.0502	+	8.75496i	−0.621440	+	0.451503i
$377$	−6.34609	−	19.5312i	−0.326840	−	1.00591i
$378$	1.25910	−	3.87511i	0.0647611	−	0.199314i
$379$	7.93783	+	5.76717i	0.407739	+	0.296240i	0.772686	−	0.634789i	$-0.218913\pi$
$379$	7.93783	+	5.76717i	0.407739	+	0.296240i	−0.364947	+	0.931028i	$0.618913\pi$
$380$	9.03261	+	6.56257i	0.463363	+	0.336653i
$381$	10.3476	−	31.8467i	0.530124	−	1.63156i
$382$	1.01958	+	3.13795i	0.0521663	+	0.160552i
$383$	14.6002	−	10.6076i	0.746034	−	0.542025i	−0.148561	−	0.988903i	$-0.547464\pi$
$383$	14.6002	−	10.6076i	0.746034	−	0.542025i	0.894595	+	0.446878i	$0.147464\pi$
$384$	−28.2615			−1.44221
$385$	3.24824	+	1.07243i	0.165546	+	0.0546562i
$386$	16.7194			0.850993
$387$	30.3539	−	22.0534i	1.54297	−	1.12104i
$388$	−1.09899	−	3.38235i	−0.0557929	−	0.171713i
$389$	9.63871	−	29.6649i	0.488702	−	1.50407i	−0.337844	−	0.941202i	$-0.609698\pi$
$389$	9.63871	−	29.6649i	0.488702	−	1.50407i	0.826546	−	0.562869i	$-0.190302\pi$
$390$	5.78684	+	4.20439i	0.293028	+	0.212897i
$391$	−4.76490	−	3.46191i	−0.240972	−	0.175076i
$392$	−4.67626	+	14.3921i	−0.236187	+	0.726909i
$393$	9.71989	+	29.9147i	0.490303	+	1.50900i
$394$	−6.68851	+	4.85948i	−0.336962	+	0.244817i
$395$	12.0782			0.607719
$396$	14.0115	−	19.0946i	0.704104	−	0.959537i
$397$	−10.6212			−0.533062			−0.266531	−	0.963826i	$-0.585877\pi$
$397$	−10.6212			−0.533062			−0.266531	+	0.963826i	$0.585877\pi$
$398$	−4.66657	+	3.39046i	−0.233914	+	0.169948i
$399$	6.87189	+	21.1495i	0.344025	+	1.05880i
$400$	0.318714	−	0.980901i	0.0159357	−	0.0490450i
$401$	22.3029	+	16.2040i	1.11375	+	0.809190i	0.983251	−	0.182258i	$-0.0583407\pi$
$401$	22.3029	+	16.2040i	1.11375	+	0.809190i	0.130503	+	0.991448i	$0.458341\pi$
$402$	10.3137	+	7.49334i	0.514400	+	0.373734i
$403$	−3.93087	+	12.0980i	−0.195811	+	0.602643i
$404$	3.38488	+	10.4176i	0.168404	+	0.518295i
$405$	0.277637	−	0.201715i	0.0137959	−	0.0100233i
$406$	4.52997			0.224818
$407$	18.8238	−	6.01792i	0.933061	−	0.298297i
$408$	−17.1886			−0.850961
$409$	−11.6241	+	8.44540i	−0.574774	+	0.417598i	−0.836836	−	0.547453i	$-0.815598\pi$
$409$	−11.6241	+	8.44540i	−0.574774	+	0.417598i	0.262062	+	0.965051i	$0.415598\pi$
$410$	0.897243	+	2.76143i	0.0443117	+	0.136377i
$411$	3.71963	−	11.4478i	0.183476	−	0.564681i
$412$	−11.1686	−	8.11448i	−0.550238	−	0.399772i
$413$	−2.45840	−	1.78613i	−0.120970	−	0.0878899i
$414$	−2.74576	+	8.45060i	−0.134947	+	0.415324i
$415$	−0.497523	−	1.53122i	−0.0244224	−	0.0751645i
$416$	16.3488	−	11.8781i	0.801568	−	0.582373i
$417$	16.7378			0.819652
$418$	0.0887552	−	18.7613i	0.00434116	−	0.917647i
$419$	−31.4707			−1.53744			−0.768722	−	0.639584i	$-0.779107\pi$
$419$	−31.4707			−1.53744			−0.768722	+	0.639584i	$0.779107\pi$
$420$	3.41548	−	2.48149i	0.166658	−	0.121084i
$421$	8.21095	+	25.2707i	0.400177	+	1.23162i	0.924856	+	0.380318i	$0.124185\pi$
$421$	8.21095	+	25.2707i	0.400177	+	1.23162i	−0.524679	+	0.851300i	$0.675815\pi$
$422$	5.18959	−	15.9719i	0.252625	−	0.777500i
$423$	−23.1855	−	16.8453i	−1.12732	−	0.819045i
$424$	24.4348	+	17.7529i	1.18666	+	0.862156i
$425$	0.741089	−	2.28084i	0.0359481	−	0.110637i
$426$	1.29659	+	3.99049i	0.0628199	+	0.193340i
$427$	−2.06963	+	1.50367i	−0.100156	+	0.0727679i
$428$	6.76518			0.327008
$429$	−0.152146	+	32.1611i	−0.00734568	+	1.55275i
$430$	−5.64252			−0.272106
$431$	3.12984	−	2.27397i	0.150759	−	0.109533i	−0.509849	−	0.860264i	$-0.670299\pi$
$431$	3.12984	−	2.27397i	0.150759	−	0.109533i	0.660608	+	0.750731i	$0.270299\pi$
$432$	−1.70693	−	5.25338i	−0.0821246	−	0.252754i
$433$	12.4036	−	38.1743i	0.596077	−	1.83454i	0.0467895	−	0.998905i	$-0.485101\pi$
$433$	12.4036	−	38.1743i	0.596077	−	1.83454i	0.549288	−	0.835633i	$-0.314899\pi$
$434$	−2.27005	−	1.64929i	−0.108966	−	0.0791684i
$435$	13.5437	+	9.84007i	0.649370	+	0.471795i
$436$	2.39715	−	7.37768i	0.114803	−	0.353327i
$437$	−5.81994	−	17.9119i	−0.278406	−	0.856844i
$438$	1.38567	−	1.00675i	0.0662099	−	0.0481043i
$439$	1.02336			0.0488425			0.0244212	−	0.999702i	$-0.492226\pi$
$439$	1.02336			0.0488425			0.0244212	+	0.999702i	$0.492226\pi$
$440$	−8.05321	+	2.57459i	−0.383922	+	0.122739i
$441$	−29.1166			−1.38650
$442$	4.93608	−	3.58627i	0.234785	−	0.170582i
$443$	−4.96678	−	15.2862i	−0.235979	−	0.726268i	−0.996990	−	0.0775295i	$-0.975297\pi$
$443$	−4.96678	−	15.2862i	−0.235979	−	0.726268i	0.761011	−	0.648739i	$-0.224703\pi$
$444$	7.53703	−	23.1966i	0.357691	−	1.10086i
$445$	6.60252	+	4.79701i	0.312989	+	0.227400i
$446$	−9.57368	−	6.95569i	−0.453327	−	0.329361i
$447$	3.28800	−	10.1194i	0.155517	−	0.478633i
$448$	0.720043	+	2.21607i	0.0340188	+	0.104699i
$449$	−28.9969	+	21.0675i	−1.36845	+	0.994235i	−0.370590	+	0.928797i	$0.620844\pi$
$449$	−28.9969	+	21.0675i	−1.36845	+	0.994235i	−0.997857	+	0.0654379i	$0.979156\pi$
$450$	−3.61803			−0.170556
$451$	−7.72346	+	10.5254i	−0.363684	+	0.495620i
$452$	−0.443901			−0.0208793
$453$	−55.4016	+	40.2516i	−2.60299	+	1.89119i
$454$	5.50625	+	16.9465i	0.258421	+	0.795338i
$455$	−1.09924	+	3.38312i	−0.0515332	+	0.158603i
$456$	−44.4669	−	32.3071i	−2.08235	−	1.51292i
$457$	20.3488	+	14.7842i	0.951875	+	0.691578i	0.951250	−	0.308422i	$-0.0998009\pi$
$457$	20.3488	+	14.7842i	0.951875	+	0.691578i	0.000625413		1.00000i	$0.499801\pi$
$458$	3.42241	−	10.5331i	0.159919	−	0.492179i
$459$	−3.96903	−	12.2154i	−0.185259	−	0.570167i
$460$	−2.89263	+	2.10162i	−0.134870	+	0.0979886i
$461$	6.65631			0.310015			0.155008	−	0.987913i	$-0.450460\pi$
$461$	6.65631			0.310015			0.155008	+	0.987913i	$0.450460\pi$
$462$	−6.73660	−	2.22414i	−0.313415	−	0.103476i
$463$	38.7730			1.80194			0.900968	−	0.433886i	$-0.142858\pi$
$463$	38.7730			1.80194			0.900968	+	0.433886i	$0.142858\pi$
$464$	4.96830	−	3.60968i	0.230648	−	0.167575i
$465$	−3.20438	−	9.86208i	−0.148600	−	0.457343i
$466$	−2.60447	+	8.01573i	−0.120650	+	0.371321i
$467$	−18.2429	−	13.2542i	−0.844179	−	0.613332i	0.0793559	−	0.996846i	$-0.474714\pi$
$467$	−18.2429	−	13.2542i	−0.844179	−	0.613332i	−0.923535	+	0.383514i	$0.874714\pi$
$468$	19.9253	+	14.4766i	0.921048	+	0.669180i
$469$	−1.95914	+	6.02961i	−0.0904647	+	0.278422i
$470$	1.33186	+	4.09904i	0.0614341	+	0.189075i
$471$	16.4501	−	11.9517i	0.757982	−	0.550706i
$472$	7.51071			0.345708
$473$	−14.8150	−	20.5953i	−0.681194	−	0.946971i
$474$	−25.0492			−1.15055
$475$	6.20420	−	4.50761i	0.284668	−	0.206823i
$476$	−1.11280	−	3.42484i	−0.0510051	−	0.156977i
$477$	−17.9579	+	55.2689i	−0.822238	+	2.53059i
$478$	16.3553	+	11.8828i	0.748075	+	0.543509i
$479$	1.32021	+	0.959186i	0.0603218	+	0.0438263i	0.617538	−	0.786541i	$-0.288130\pi$
$479$	1.32021	+	0.959186i	0.0603218	+	0.0438263i	−0.557216	+	0.830368i	$0.688130\pi$
$480$	−5.09058	+	15.6672i	−0.232352	+	0.715107i
$481$	6.35063	+	19.5452i	0.289564	+	0.891186i
$482$	6.52782	−	4.74274i	0.297334	−	0.216026i
$483$	−7.12155			−0.324042
$484$	−12.8666	−	9.53540i	−0.584844	−	0.433427i
$485$	−2.44278			−0.110921
$486$	9.01242	−	6.54790i	0.408811	−	0.297019i
$487$	0.324560	+	0.998894i	0.0147072	+	0.0452642i	0.958141	−	0.286297i	$-0.0924245\pi$
$487$	0.324560	+	0.998894i	0.0147072	+	0.0452642i	−0.943434	+	0.331562i	$0.892425\pi$
$488$	1.95390	−	6.01349i	0.0884490	−	0.272218i
$489$	42.5104	+	30.8856i	1.92239	+	1.39669i
$490$	3.54254	+	2.57381i	0.160036	+	0.116273i
$491$	−4.29969	+	13.2331i	−0.194042	+	0.597201i	0.805944	+	0.591992i	$0.201658\pi$
$491$	−4.29969	+	13.2331i	−0.194042	+	0.597201i	−0.999986	+	0.00520928i	$0.998342\pi$
$492$	4.97898	+	15.3237i	0.224470	+	0.690847i
$493$	11.5525	−	8.39341i	0.520300	−	0.378020i
$494$	19.5103			0.877811
$495$	−9.49951	−	13.2059i	−0.426971	−	0.593560i
$496$	−3.80394			−0.170802
$497$	−1.68812	+	1.22649i	−0.0757226	+	0.0550157i
$498$	1.03182	+	3.17562i	0.0462371	+	0.142303i
$499$	5.36679	−	16.5173i	0.240250	−	0.739415i	−0.756131	−	0.654420i	$-0.772913\pi$
$499$	5.36679	−	16.5173i	0.240250	−	0.739415i	0.996381	−	0.0849943i	$-0.0270872\pi$
$500$	−1.17784	−	0.855749i	−0.0526745	−	0.0382702i
$501$	17.8631	+	12.9783i	0.798063	+	0.579827i
$502$	−3.92772	+	12.0883i	−0.175303	+	0.539526i
$503$	11.0794	+	34.0988i	0.494005	+	1.52039i	0.818502	+	0.574503i	$0.194805\pi$
$503$	11.0794	+	34.0988i	0.494005	+	1.52039i	−0.324498	+	0.945887i	$0.605195\pi$
$504$	−10.4330	+	7.58000i	−0.464722	+	0.337640i
$505$	7.52373			0.334802
$506$	5.70536	+	1.88367i	0.253634	+	0.0837393i
$507$	3.10530			0.137911
$508$	−14.0280	+	10.1919i	−0.622392	+	0.452194i
$509$	0.660921	+	2.03410i	0.0292948	+	0.0901601i	0.964635	−	0.263590i	$-0.0849065\pi$
$509$	0.660921	+	2.03410i	0.0292948	+	0.0901601i	−0.935340	+	0.353750i	$0.884906\pi$
$510$	−1.53696	+	4.73028i	−0.0680577	+	0.209460i
$511$	0.689106	+	0.500665i	0.0304843	+	0.0221481i
$512$	9.14306	+	6.64282i	0.404070	+	0.293574i
$513$	12.6918	−	39.0614i	0.560358	−	1.72461i
$514$	−4.21591	−	12.9752i	−0.185956	−	0.572313i
$515$	−7.67135	+	5.57356i	−0.338040	+	0.245601i
$516$	−31.3115			−1.37841
$517$	−11.4646	+	15.6238i	−0.504214	+	0.687132i
$518$	−4.53321			−0.199178
$519$	25.4862	−	18.5168i	1.11872	−	0.812797i
$520$	−2.71693	−	8.36185i	−0.119145	−	0.366691i
$521$	−3.93540	+	12.1119i	−0.172413	+	0.530633i	−0.999506	−	0.0314326i	$-0.989993\pi$
$521$	−3.93540	+	12.1119i	−0.172413	+	0.530633i	0.827093	+	0.562065i	$0.189993\pi$
$522$	−17.4286	−	12.6626i	−0.762828	−	0.554227i
$523$	−19.3426	−	14.0532i	−0.845793	−	0.614504i	0.0781901	−	0.996938i	$-0.475086\pi$
$523$	−19.3426	−	14.0532i	−0.845793	−	0.614504i	−0.923983	+	0.382434i	$0.875086\pi$
$524$	5.03317	−	15.4905i	0.219875	−	0.676705i
$525$	−0.896084	−	2.75786i	−0.0391083	−	0.120363i
$526$	2.20286	−	1.60047i	0.0960493	−	0.0697839i
$527$	−8.84510			−0.385299
$528$	−9.16075	+	2.92867i	−0.398670	+	0.127454i
$529$	−16.9686			−0.737766
$530$	7.07047	−	5.13700i	0.307122	−	0.223137i
$531$	4.46567	+	13.7439i	0.193794	+	0.596436i
$532$	3.55841	−	10.9517i	0.154277	−	0.474815i
$533$	−10.9833	−	7.97983i	−0.475739	−	0.345645i
$534$	−13.6931	−	9.94862i	−0.592558	−	0.430519i
$535$	1.43593	−	4.41935i	0.0620808	−	0.191065i
$536$	−4.84229	−	14.9030i	−0.209155	−	0.643713i
$537$	3.33145	−	2.42044i	0.143763	−	0.104450i
$538$	7.33590			0.316273
$539$	−0.0931395	+	19.6881i	−0.00401180	+	0.848027i
$540$	−7.79726			−0.335540
$541$	−1.06726	+	0.775410i	−0.0458851	+	0.0333375i	−0.610491	−	0.792023i	$-0.709028\pi$
$541$	−1.06726	+	0.775410i	−0.0458851	+	0.0333375i	0.564606	+	0.825360i	$0.309028\pi$
$542$	−0.285762	−	0.879484i	−0.0122745	−	0.0377771i
$543$	−8.07047	+	24.8384i	−0.346337	+	1.06592i
$544$	11.3680	+	8.25932i	0.487398	+	0.354116i
$545$	−4.31066	−	3.13188i	−0.184648	−	0.134155i
$546$	2.27974	−	7.01631i	0.0975638	−	0.300270i
$547$	2.88044	+	8.86507i	0.123159	+	0.379043i	0.993561	−	0.113298i	$-0.0361414\pi$
$547$	2.88044	+	8.86507i	0.123159	+	0.379043i	−0.870403	+	0.492341i	$0.836141\pi$
$548$	−5.04261	+	3.66367i	−0.215410	+	0.156504i
$549$	12.1659			0.519228
$550$	−0.0115735	+	2.44645i	−0.000493497	+	0.104317i
$551$	45.6625			1.94529
$552$	14.2403	−	10.3461i	0.606105	−	0.440361i
$553$	−3.84949	−	11.8475i	−0.163697	−	0.503807i
$554$	1.84482	−	5.67776i	0.0783788	−	0.241225i
$555$	−13.5534	−	9.84711i	−0.575309	−	0.417987i
$556$	−7.01190	−	5.09444i	−0.297371	−	0.216052i
$557$	12.1497	−	37.3929i	0.514798	−	1.58439i	−0.268850	−	0.963182i	$-0.586644\pi$
$557$	12.1497	−	37.3929i	0.514798	−	1.58439i	0.783648	−	0.621205i	$-0.213356\pi$
$558$	4.12353	+	12.6909i	0.174563	+	0.537250i
$559$	21.3441	−	15.5074i	0.902759	−	0.655893i
$560$	−1.06374			−0.0449514
$561$	−21.3010	+	6.80989i	−0.899330	+	0.287514i
$562$	−18.7141			−0.789407
$563$	−16.1649	+	11.7445i	−0.681271	+	0.494972i	−0.873779	−	0.486323i	$-0.838338\pi$
$563$	−16.1649	+	11.7445i	−0.681271	+	0.494972i	0.192508	+	0.981295i	$0.438338\pi$
$564$	7.39076	+	22.7464i	0.311207	+	0.957797i
$565$	−0.0942195	+	0.289978i	−0.00396384	+	0.0121995i
$566$	−12.1993	−	8.86330i	−0.512774	−	0.372552i
$567$	−0.286349	−	0.208045i	−0.0120255	−	0.00873707i
$568$	1.59373	−	4.90499i	0.0668713	−	0.205809i
$569$	−10.6811	−	32.8730i	−0.447775	−	1.37811i	−0.879412	−	0.476061i	$-0.842064\pi$
$569$	−10.6811	−	32.8730i	−0.447775	−	1.37811i	0.431637	−	0.902047i	$-0.357936\pi$
$570$	−12.8670	+	9.34843i	−0.538940	+	0.391563i
$571$	3.15090			0.131861			0.0659306	−	0.997824i	$-0.478998\pi$
$571$	3.15090			0.131861			0.0659306	+	0.997824i	$0.478998\pi$
$572$	9.85254	−	13.4268i	0.411955	−	0.561404i
$573$	12.5760			0.525370
$574$	2.42273	−	1.76021i	0.101123	−	0.0734699i
$575$	0.758911	+	2.33569i	0.0316488	+	0.0974049i
$576$	3.42427	−	10.5388i	0.142678	−	0.439117i
$577$	−22.1044	−	16.0598i	−0.920220	−	0.668579i	0.0233590	−	0.999727i	$-0.492564\pi$
$577$	−22.1044	−	16.0598i	−0.920220	−	0.668579i	−0.943579	+	0.331148i	$0.892564\pi$
$578$	−6.71273	−	4.87709i	−0.279213	−	0.202860i
$579$	19.6927	−	60.6079i	0.818400	−	2.51878i
$580$	−2.67881	−	8.24453i	−0.111231	−	0.342335i
$581$	−1.34340	+	0.976041i	−0.0557338	+	0.0404930i
$582$	5.06614			0.209998
$583$	37.3143	+	12.3196i	1.54540	+	0.510227i
$584$	−2.10530			−0.0871180
$585$	13.6860	−	9.94348i	0.565848	−	0.411112i
$586$	−0.581043	−	1.78827i	−0.0240027	−	0.0738726i
$587$	−14.2667	+	43.9082i	−0.588848	+	1.81229i	−0.00561158	+	0.999984i	$0.501786\pi$
$587$	−14.2667	+	43.9082i	−0.588848	+	1.81229i	−0.583236	+	0.812303i	$0.698214\pi$
$588$	19.6583	+	14.2826i	0.810694	+	0.589003i
$589$	−22.8823	−	16.6250i	−0.942850	−	0.685020i
$590$	0.671589	−	2.06694i	0.0276489	−	0.0850945i
$591$	9.73771	+	29.9696i	0.400556	+	1.23278i
$592$	−4.97186	+	3.61227i	−0.204342	+	0.148463i
$593$	39.4265			1.61905			0.809525	−	0.587085i	$-0.199725\pi$
$593$	39.4265			1.61905			0.809525	+	0.587085i	$0.199725\pi$
$594$	7.65124	+	10.6365i	0.313934	+	0.436420i
$595$	−2.47347			−0.101402
$596$	−4.45746	+	3.23853i	−0.182585	+	0.132656i
$597$	6.79399	+	20.9098i	0.278060	+	0.855780i
$598$	−1.93075	+	5.94225i	−0.0789544	+	0.242997i
$599$	−0.848455	−	0.616438i	−0.0346669	−	0.0251870i	0.570317	−	0.821425i	$-0.306820\pi$
$599$	−0.848455	−	0.616438i	−0.0346669	−	0.0251870i	−0.604984	+	0.796238i	$0.706820\pi$
$600$	5.79842	+	4.21280i	0.236719	+	0.171987i
$601$	8.42065	−	25.9161i	0.343485	−	1.05714i	−0.618904	−	0.785466i	$-0.712423\pi$
$601$	8.42065	−	25.9161i	0.343485	−	1.05714i	0.962390	−	0.271673i	$-0.0875768\pi$
$602$	1.79835	+	5.53475i	0.0732952	+	0.225579i
$603$	24.3921	−	17.7219i	0.993325	−	0.721693i
$604$	35.4605			1.44287
$605$	−8.95996	+	6.38115i	−0.364274	+	0.259431i
$606$	−15.6036			−0.633854
$607$	−17.7350	+	12.8852i	−0.719842	+	0.522996i	−0.886334	−	0.463047i	$-0.846756\pi$
$607$	−17.7350	+	12.8852i	−0.719842	+	0.522996i	0.166492	+	0.986043i	$0.446756\pi$
$608$	13.8851	+	42.7338i	0.563114	+	1.73309i
$609$	5.33556	−	16.4212i	0.216208	−	0.665420i
$610$	−1.48019	−	1.07542i	−0.0599313	−	0.0435426i
$611$	−16.3035	−	11.8452i	−0.659569	−	0.479205i
$612$	−5.29208	+	16.2873i	−0.213920	+	0.658377i
$613$	3.27313	+	10.0736i	0.132200	+	0.406871i	0.995144	−	0.0984293i	$-0.0313818\pi$
$613$	3.27313	+	10.0736i	0.132200	+	0.406871i	−0.862944	+	0.505300i	$0.831382\pi$
$614$	5.36653	−	3.89901i	0.216576	−	0.157351i
$615$	11.0670			0.446265
$616$	5.09209	+	7.07884i	0.205166	+	0.285215i
$617$	4.60402			0.185351			0.0926755	−	0.995696i	$-0.470458\pi$
$617$	4.60402			0.185351			0.0926755	+	0.995696i	$0.470458\pi$
$618$	15.9098	−	11.5591i	0.639985	−	0.464976i
$619$	11.4348	+	35.1926i	0.459603	+	1.41451i	0.865645	+	0.500657i	$0.166908\pi$
$619$	11.4348	+	35.1926i	0.459603	+	1.41451i	−0.406043	+	0.913854i	$0.633092\pi$
$620$	−1.65930	+	5.10680i	−0.0666390	+	0.205094i
$621$	10.6409	+	7.73110i	0.427006	+	0.310238i
$622$	−12.0088	−	8.72489i	−0.481508	−	0.349836i
$623$	2.60108	−	8.00529i	0.104210	−	0.320725i
$624$	−3.09058	−	9.51183i	−0.123722	−	0.380778i
$625$	−0.809017	+	0.587785i	−0.0323607	+	0.0235114i
$626$	−5.24081			−0.209465
$627$	−67.9055	−	22.4195i	−2.71189	−	0.895350i
$628$	−10.5291			−0.420157
$629$	−11.5608	+	8.39942i	−0.460960	+	0.334907i
$630$	1.15312	+	3.54893i	0.0459413	+	0.141393i
$631$	−7.67617	+	23.6248i	−0.305583	+	0.940489i	0.673875	+	0.738845i	$0.264628\pi$
$631$	−7.67617	+	23.6248i	−0.305583	+	0.940489i	−0.979459	+	0.201644i	$0.935372\pi$
$632$	24.9094	+	18.0977i	0.990843	+	0.719890i
$633$	−51.7858	−	37.6246i	−2.05830	−	1.49544i
$634$	−0.522727	+	1.60879i	−0.0207601	+	0.0638931i
$635$	3.68038	+	11.3270i	0.146051	+	0.449500i
$636$	39.2355	−	28.5062i	1.55579	−	1.13035i
$637$	−20.4741			−0.811213
$638$	−8.61798	+	11.7444i	−0.341189	+	0.464965i
$639$	9.92328			0.392559
$640$	8.13215	−	5.90835i	0.321452	−	0.233548i
$641$	−13.7294	−	42.2547i	−0.542278	−	1.66896i	−0.727374	−	0.686241i	$-0.759260\pi$
$641$	−13.7294	−	42.2547i	−0.542278	−	1.66896i	0.185096	−	0.982720i	$-0.440740\pi$
$642$	−2.97801	+	9.16538i	−0.117533	+	0.361729i
$643$	−20.9220	−	15.2007i	−0.825082	−	0.599457i	0.0930818	−	0.995658i	$-0.470328\pi$
$643$	−20.9220	−	15.2007i	−0.825082	−	0.599457i	−0.918164	+	0.396201i	$0.870328\pi$
$644$	2.98341	+	2.16757i	0.117563	+	0.0854143i
$645$	−6.64596	+	20.4542i	−0.261685	+	0.805382i
$646$	4.19221	+	12.9023i	0.164940	+	0.507634i
$647$	−15.7649	+	11.4539i	−0.619782	+	0.450298i	−0.852845	−	0.522163i	$-0.825125\pi$
$647$	−15.7649	+	11.4539i	−0.619782	+	0.450298i	0.233063	+	0.972462i	$0.425125\pi$
$648$	0.874831			0.0343666
$649$	9.30768	−	2.97564i	0.365358	−	0.116804i
$650$	−2.54411			−0.0997883
$651$	−8.65244	+	6.28636i	−0.339116	+	0.246382i
$652$	−8.40814	−	25.8776i	−0.329288	−	1.01344i
$653$	−5.16979	+	15.9110i	−0.202310	+	0.622645i	0.797504	+	0.603314i	$0.206153\pi$
$653$	−5.16979	+	15.9110i	−0.202310	+	0.622645i	−0.999813	+	0.0193305i	$0.993847\pi$
$654$	8.93996	+	6.49526i	0.349580	+	0.253985i
$655$	−9.05084	−	6.57582i	−0.353646	−	0.256939i
$656$	1.25454	−	3.86108i	0.0489815	−	0.150750i
$657$	−1.25176	−	3.85251i	−0.0488357	−	0.150301i
$658$	3.59627	−	2.61284i	0.140197	−	0.101859i
$659$	−1.66127			−0.0647137			−0.0323569	−	0.999476i	$-0.510301\pi$
$659$	−1.66127			−0.0647137			−0.0323569	+	0.999476i	$0.510301\pi$
$660$	−0.0642239	+	13.5758i	−0.00249991	+	0.528439i
$661$	−44.0130			−1.71191			−0.855953	−	0.517053i	$-0.827029\pi$
$661$	−44.0130			−1.71191			−0.855953	+	0.517053i	$0.827029\pi$
$662$	9.18724	−	6.67492i	0.357072	−	0.259428i
$663$	−7.18637	−	22.1174i	−0.279096	−	0.858968i
$664$	1.26829	−	3.90338i	0.0492190	−	0.151481i
$665$	−6.39888	−	4.64906i	−0.248138	−	0.180283i
$666$	17.4411	+	12.6717i	0.675827	+	0.491017i
$667$	−4.51879	+	13.9074i	−0.174968	+	0.538497i
$668$	−3.53314	−	10.8739i	−0.136701	−	0.420723i
$669$	−36.4907	+	26.5120i	−1.41081	+	1.02501i
$670$	−4.53429			−0.175175
$671$	0.0389168	−	8.22636i	0.00150237	−	0.317575i
$672$	16.9904			0.655419
$673$	31.2239	−	22.6855i	1.20359	−	0.874462i	0.208961	−	0.977924i	$-0.432992\pi$
$673$	31.2239	−	22.6855i	1.20359	−	0.874462i	0.994633	+	0.103462i	$0.0329920\pi$
$674$	4.44417	+	13.6778i	0.171183	+	0.526848i
$675$	−1.65499	+	5.09355i	−0.0637008	+	0.196051i
$676$	−1.30089	−	0.945154i	−0.0500343	−	0.0363521i
$677$	31.2271	+	22.6878i	1.20016	+	0.871964i	0.994300	−	0.106619i	$-0.0340024\pi$
$677$	31.2271	+	22.6878i	1.20016	+	0.871964i	0.205855	+	0.978582i	$0.434002\pi$
$678$	0.195404	−	0.601391i	0.00750443	−	0.0230963i
$679$	0.778549	+	2.39613i	0.0298780	+	0.0919549i
$680$	4.94595	−	3.59344i	0.189669	−	0.137802i
$681$	67.9167			2.60257
$682$	8.59457	−	2.74766i	0.329103	−	0.105213i
$683$	−0.748158			−0.0286275			−0.0143137	−	0.999898i	$-0.504556\pi$
$683$	−0.748158			−0.0286275			−0.0143137	+	0.999898i	$0.504556\pi$
$684$	−44.3038	+	32.1886i	−1.69400	+	1.23076i
$685$	1.32298	+	4.07170i	0.0505484	+	0.155572i
$686$	3.04126	−	9.36005i	0.116116	−	0.357368i
$687$	−34.1515	−	24.8125i	−1.30296	−	0.946656i
$688$	6.38270	+	4.63730i	0.243338	+	0.176796i
$689$	−12.6276	+	38.8637i	−0.481073	+	1.48059i
$690$	−1.57392	−	4.84403i	−0.0599181	−	0.184409i
$691$	−4.22456	+	3.06932i	−0.160710	+	0.116763i	−0.665234	−	0.746635i	$-0.731668\pi$
$691$	−4.22456	+	3.06932i	−0.160710	+	0.116763i	0.504524	+	0.863398i	$0.331668\pi$
$692$	−16.3128			−0.620118
$693$	−9.92603	+	13.5270i	−0.377059	+	0.513847i
$694$	1.59998			0.0607342
$695$	−4.81624	+	3.49920i	−0.182690	+	0.132732i
$696$	13.1876	+	40.5873i	0.499875	+	1.53846i
$697$	2.91712	−	8.97796i	0.110494	−	0.340065i
$698$	−14.9501	−	10.8619i	−0.565871	−	0.411129i
$699$	25.9895	+	18.8824i	0.983011	+	0.714200i
$700$	−0.464011	+	1.42808i	−0.0175380	+	0.0539764i
$701$	−4.37506	−	13.4650i	−0.165244	−	0.508568i	0.833811	−	0.552051i	$-0.186155\pi$
$701$	−4.37506	−	13.4650i	−0.165244	−	0.508568i	−0.999054	+	0.0434831i	$0.986155\pi$
$702$	−11.0232	+	8.00883i	−0.416044	+	0.302274i
$703$	−45.6952			−1.72343
$704$	−7.11520	−	2.34914i	−0.268164	−	0.0885366i
$705$	16.4278			0.618706
$706$	−13.8766	+	10.0820i	−0.522255	+	0.379440i
$707$	−2.39792	−	7.38004i	−0.0901830	−	0.277555i
$708$	3.72678	−	11.4699i	0.140061	−	0.431064i
$709$	13.9267	+	10.1183i	0.523028	+	0.380002i	0.817744	−	0.575583i	$-0.195225\pi$
$709$	13.9267	+	10.1183i	0.523028	+	0.380002i	−0.294715	+	0.955585i	$0.595225\pi$
$710$	−1.20734	−	0.877184i	−0.0453107	−	0.0329201i
$711$	−18.3068	+	56.3425i	−0.686558	+	2.11301i
$712$	6.42893	+	19.7862i	0.240934	+	0.741519i
$713$	7.32792	−	5.32404i	0.274433	−	0.199387i
$714$	5.12978			0.191977
$715$	−6.67982	−	9.28605i	−0.249811	−	0.347279i
$716$	−2.13233			−0.0796891
$717$	62.3393	−	45.2922i	2.32811	−	1.69147i
$718$	−2.30733	−	7.10123i	−0.0861087	−	0.265015i
$719$	−8.20624	+	25.2562i	−0.306041	+	0.941897i	0.673246	+	0.739419i	$0.264900\pi$
$719$	−8.20624	+	25.2562i	−0.306041	+	0.941897i	−0.979287	+	0.202478i	$0.935100\pi$
$720$	4.09265	+	2.97348i	0.152524	+	0.110815i
$721$	7.91208	+	5.74846i	0.294661	+	0.214084i
$722$	−9.07457	+	27.9286i	−0.337720	+	1.03940i
$723$	−9.50377	−	29.2496i	−0.353449	−	1.08780i
$724$	10.9409	−	7.94905i	0.406617	−	0.295424i
$725$	−5.95431			−0.221138
$726$	18.5823	−	13.2340i	0.689652	−	0.491160i
$727$	44.1917			1.63898			0.819490	−	0.573094i	$-0.194257\pi$
$727$	44.1917			1.63898			0.819490	+	0.573094i	$0.194257\pi$
$728$	−7.33622	+	5.33007i	−0.271898	+	0.197546i
$729$	−13.4392	−	41.3616i	−0.497748	−	1.53191i
$730$	−0.188251	+	0.579377i	−0.00696748	+	0.0214437i
$731$	14.8414	+	10.7829i	0.548928	+	0.398819i
$732$	−8.21389	−	5.96774i	−0.303594	−	0.220574i
$733$	7.71320	−	23.7388i	0.284894	−	0.876812i	−0.701537	−	0.712633i	$-0.747502\pi$
$733$	7.71320	−	23.7388i	0.284894	−	0.876812i	0.986431	−	0.164179i	$-0.0524975\pi$
$734$	−0.845498	−	2.60218i	−0.0312079	−	0.0960480i
$735$	13.5026	−	9.81022i	0.498051	−	0.361855i
$736$	−14.3895			−0.530404
$737$	−11.9052	−	16.5502i	−0.438534	−	0.609635i
$738$	−14.2415			−0.524237
$739$	−17.1789	+	12.4812i	−0.631934	+	0.459127i	−0.857070	−	0.515200i	$-0.827718\pi$
$739$	−17.1789	+	12.4812i	−0.631934	+	0.459127i	0.225135	+	0.974327i	$0.427718\pi$
$740$	2.68073	+	8.25043i	0.0985455	+	0.303292i
$741$	22.9800	−	70.7251i	0.844190	−	2.59815i
$742$	−7.29234	−	5.29820i	−0.267710	−	0.194503i
$743$	24.7986	+	18.0172i	0.909772	+	0.660988i	0.940957	−	0.338526i	$-0.109928\pi$
$743$	24.7986	+	18.0172i	0.909772	+	0.660988i	−0.0311852	+	0.999514i	$0.509928\pi$
$744$	8.16862	−	25.1404i	0.299476	−	0.921693i
$745$	1.16946	+	3.59922i	0.0428456	+	0.131865i
$746$	−5.57387	+	4.04965i	−0.204074	+	0.148268i
$747$	7.89694			0.288934
$748$	10.9963	+	3.63051i	0.402064	+	0.132744i
$749$	−4.79259			−0.175118
$750$	1.67784	−	1.21902i	0.0612660	−	0.0445123i
$751$	−9.36548	−	28.8240i	−0.341751	−	1.05180i	−0.963300	−	0.268427i	$-0.913496\pi$
$751$	−9.36548	−	28.8240i	−0.341751	−	1.05180i	0.621549	−	0.783375i	$-0.286504\pi$
$752$	1.86223	−	5.73134i	0.0679084	−	0.209001i
$753$	39.1939	+	28.4760i	1.42831	+	1.03772i
$754$	−12.2554	−	8.90404i	−0.446314	−	0.324266i
$755$	7.52661	−	23.1645i	0.273922	−	0.843044i
$756$	2.48509	+	7.64833i	0.0903820	+	0.278167i
$757$	28.2099	−	20.4957i	1.02531	−	0.744929i	0.0579427	−	0.998320i	$-0.481546\pi$
$757$	28.2099	−	20.4957i	1.02531	−	0.744929i	0.967364	+	0.253391i	$0.0815459\pi$
$758$	7.23750			0.262878
$759$	13.5483	−	18.4633i	0.491772	−	0.670176i
$760$	19.5493			0.709129
$761$	2.17603	−	1.58098i	0.0788809	−	0.0573104i	−0.547646	−	0.836710i	$-0.684476\pi$
$761$	2.17603	−	1.58098i	0.0788809	−	0.0573104i	0.626527	+	0.779400i	$0.284476\pi$
$762$	−7.63282	−	23.4914i	−0.276508	−	0.851004i
$763$	−1.69819	+	5.22650i	−0.0614787	+	0.189212i
$764$	−5.26842	−	3.82773i	−0.190605	−	0.138482i
$765$	9.51642	+	6.91409i	0.344067	+	0.249979i
$766$	4.11365	−	12.6605i	0.148632	−	0.457443i
$767$	3.14015	+	9.66440i	0.113384	+	0.348961i
$768$	−27.1431	+	19.7206i	−0.979441	+	0.711605i
$769$	−32.5735			−1.17463			−0.587315	−	0.809359i	$-0.699815\pi$
$769$	−32.5735			−1.17463			−0.587315	+	0.809359i	$0.699815\pi$
$770$	2.40341	−	0.768365i	0.0866129	−	0.0276899i
$771$	−52.0010			−1.87277
$772$	−26.6969	+	19.3964i	−0.960841	+	0.698092i
$773$	12.8748	+	39.6246i	0.463074	+	1.42520i	0.861388	+	0.507947i	$0.169595\pi$
$773$	12.8748	+	39.6246i	0.463074	+	1.42520i	−0.398314	+	0.917249i	$0.630405\pi$
$774$	8.55230	−	26.3213i	0.307406	−	0.946099i
$775$	2.98382	+	2.16787i	0.107182	+	0.0778722i
$776$	−5.03787	−	3.66022i	−0.180849	−	0.131394i
$777$	−5.33938	+	16.4329i	−0.191549	+	0.589528i
$778$	−7.10990	−	21.8820i	−0.254902	−	0.784509i
$779$	24.4213	−	17.7431i	0.874984	−	0.635713i
$780$	−14.1178			−0.505498
$781$	0.0317431	−	6.70994i	0.00113586	−	0.240101i
$782$	−4.34451			−0.155359
$783$	−25.7990	+	18.7441i	−0.921983	+	0.669860i
$784$	−1.89197	−	5.82288i	−0.0675703	−	0.207960i
$785$	−2.23484	+	6.87813i	−0.0797649	+	0.245491i
$786$	18.7707	+	13.6377i	0.669530	+	0.486442i
$787$	29.0605	+	21.1137i	1.03589	+	0.752622i	0.969480	−	0.245170i	$-0.0788439\pi$
$787$	29.0605	+	21.1137i	1.03589	+	0.752622i	0.0664148	+	0.997792i	$0.478844\pi$
$788$	5.04239	−	15.5189i	0.179628	−	0.552838i
$789$	−3.20712	−	9.87049i	−0.114176	−	0.351399i
$790$	7.20782	−	5.23679i	0.256443	−	0.186317i
$791$	0.314468			0.0111812
$792$	0.196179	−	41.4690i	0.00697093	−	1.47354i
$793$	8.55476			0.303789
$794$	−6.33833	+	4.60507i	−0.224939	+	0.163428i
$795$	−10.2938	−	31.6811i	−0.365084	−	1.12361i
$796$	3.51808	−	10.8275i	0.124695	−	0.383771i
$797$	25.6618	+	18.6444i	0.908987	+	0.660418i	0.940759	−	0.339077i	$-0.110115\pi$
$797$	25.6618	+	18.6444i	0.908987	+	0.660418i	−0.0317713	+	0.999495i	$0.510115\pi$
$798$	13.2708	+	9.64178i	0.469780	+	0.341315i
$799$	4.33014	−	13.3268i	0.153189	−	0.471468i
$800$	−1.81059	−	5.57242i	−0.0640140	−	0.197015i
$801$	−32.3845	+	23.5287i	−1.14425	+	0.831347i
$802$	20.3352			0.718061
$803$	−2.60900	+	0.834092i	−0.0920698	+	0.0294345i
$804$	−25.1617			−0.887384
$805$	2.04920	−	1.48883i	0.0722249	−	0.0524744i
$806$	2.89957	+	8.92396i	0.102133	+	0.314333i
$807$	8.64050	−	26.5927i	0.304160	−	0.936108i
$808$	15.5166	+	11.2734i	0.545870	+	0.396598i
$809$	6.88936	+	5.00541i	0.242217	+	0.175981i	0.702270	−	0.711910i	$-0.252170\pi$
$809$	6.88936	+	5.00541i	0.242217	+	0.175981i	−0.460053	+	0.887891i	$0.652170\pi$
$810$	0.0782252	−	0.240753i	0.00274855	−	0.00845918i
$811$	2.79052	+	8.58832i	0.0979882	+	0.301577i	0.988021	−	0.154320i	$-0.0493186\pi$
$811$	2.79052	+	8.58832i	0.0979882	+	0.301577i	−0.890033	+	0.455897i	$0.849319\pi$
$812$	−7.23329	+	5.25529i	−0.253839	+	0.184425i
$813$	−3.52472			−0.123617
$814$	8.62415	−	11.7528i	0.302276	−	0.411935i
$815$	−18.6892			−0.654653
$816$	5.62616	−	4.08764i	0.196955	−	0.143096i
$817$	18.1275	+	55.7908i	0.634202	+	1.95187i
$818$	−3.27513	+	10.0798i	−0.114512	+	0.352432i
$819$	−14.1155	−	10.2555i	−0.493235	−	0.358356i
$820$	−4.63627	−	3.36845i	−0.161906	−	0.117631i
$821$	−16.7866	+	51.6638i	−0.585856	+	1.80308i	0.00994979	+	0.999950i	$0.496833\pi$
$821$	−16.7866	+	51.6638i	−0.585856	+	1.80308i	−0.595806	+	0.803129i	$0.703167\pi$
$822$	−2.74375	−	8.44439i	−0.0956993	−	0.294532i
$823$	−14.4486	+	10.4975i	−0.503646	+	0.365920i	−0.810408	−	0.585866i	$-0.800755\pi$
$823$	−14.4486	+	10.4975i	−0.503646	+	0.365920i	0.306762	+	0.951786i	$0.400755\pi$
$824$	−24.1723			−0.842083
$825$	8.85477	+	2.92347i	0.308284	+	0.101782i
$826$	−2.24151			−0.0779920
$827$	42.0280	−	30.5351i	1.46146	−	1.06181i	0.478474	−	0.878102i	$-0.341190\pi$
$827$	42.0280	−	30.5351i	1.46146	−	1.06181i	0.982981	−	0.183708i	$-0.0588100\pi$
$828$	−5.41934	−	16.6790i	−0.188335	−	0.579636i
$829$	−6.10185	+	18.7796i	−0.211926	+	0.652241i	0.787431	+	0.616402i	$0.211410\pi$
$829$	−6.10185	+	18.7796i	−0.211926	+	0.652241i	−0.999358	+	0.0358392i	$0.988590\pi$
$830$	−0.960800	−	0.698062i	−0.0333498	−	0.0242301i
$831$	−18.4091	−	13.3750i	−0.638603	−	0.463972i
$832$	2.40786	−	7.41064i	0.0834776	−	0.256918i
$833$	−4.39930	−	13.5396i	−0.152427	−	0.469121i
$834$	9.98849	−	7.25707i	0.345873	−	0.251292i
$835$	−7.85328			−0.271774
$836$	21.6236	+	30.0604i	0.747869	+	1.03966i
$837$	19.7528			0.682757
$838$	−18.7806	+	13.6449i	−0.648763	+	0.471354i
$839$	−1.27207	−	3.91502i	−0.0439166	−	0.135162i	0.926694	−	0.375817i	$-0.122638\pi$
$839$	−1.27207	−	3.91502i	−0.0439166	−	0.135162i	−0.970611	+	0.240655i	$0.922638\pi$
$840$	2.28430	−	7.03035i	0.0788158	−	0.242570i
$841$	−5.22128	−	3.79348i	−0.180044	−	0.130810i
$842$	15.8567	+	11.5206i	0.546458	+	0.397025i
$843$	−22.0422	+	67.8389i	−0.759173	+	2.33649i
$844$	10.2427	+	31.5239i	0.352569	+	1.08510i
$845$	−0.893540	+	0.649194i	−0.0307387	+	0.0223330i
$846$	−21.1400			−0.726807
$847$	9.11494	+	6.75507i	0.313193	+	0.232107i
$848$	−12.2198			−0.419630
$849$	−46.4983	+	33.7830i	−1.59582	+	1.15943i
$850$	−0.546657	−	1.68244i	−0.0187502	−	0.0577072i
$851$	4.52203	−	13.9174i	0.155013	−	0.477081i
$852$	−6.69978	−	4.86767i	−0.229531	−	0.166764i
$853$	−4.45190	−	3.23449i	−0.152430	−	0.110747i	0.508956	−	0.860792i	$-0.330032\pi$
$853$	−4.45190	−	3.23449i	−0.152430	−	0.110747i	−0.661386	+	0.750046i	$0.730032\pi$
$854$	−0.583125	+	1.79468i	−0.0199541	+	0.0614125i
$855$	11.6235	+	35.7736i	0.397516	+	1.22343i
$856$	9.58327	−	6.96265i	0.327549	−	0.237979i
$857$	−26.9281			−0.919847			−0.459924	−	0.887959i	$-0.652123\pi$
$857$	−26.9281			−0.919847			−0.459924	+	0.887959i	$0.652123\pi$
$858$	13.8534	+	19.2585i	0.472948	+	0.657476i
$859$	19.1519			0.653456			0.326728	−	0.945118i	$-0.394054\pi$
$859$	19.1519			0.653456			0.326728	+	0.945118i	$0.394054\pi$
$860$	9.00976	−	6.54598i	0.307230	−	0.223216i
$861$	−3.52721	−	10.8556i	−0.120207	−	0.369960i
$862$	0.881845	−	2.71404i	0.0300358	−	0.0924405i
$863$	−4.01394	−	2.91630i	−0.136636	−	0.0992720i	0.517368	−	0.855763i	$-0.326912\pi$
$863$	−4.01394	−	2.91630i	−0.136636	−	0.0992720i	−0.654004	+	0.756491i	$0.726912\pi$
$864$	−25.3869	−	18.4447i	−0.863679	−	0.627500i
$865$	−3.46244	+	10.6563i	−0.117726	+	0.362325i
$866$	−9.14937	−	28.1589i	−0.310908	−	0.956877i
$867$	−25.5860	+	18.5893i	−0.868946	+	0.631326i
$868$	5.53810			0.187975
$869$	38.0392	+	12.5589i	1.29039	+	0.426033i
$870$	12.3488			0.418663
$871$	17.1520	−	12.4616i	0.581172	−	0.422246i
$872$	−4.19732	−	12.9180i	−0.142139	−	0.437460i
$873$	3.70250	−	11.3951i	0.125311	−	0.385667i
$874$	−11.2393	−	8.16581i	−0.380174	−	0.276213i
$875$	0.834404	+	0.606230i	0.0282080	+	0.0204943i
$876$	−1.04464	+	3.21508i	−0.0352952	+	0.108627i
$877$	−8.40691	−	25.8738i	−0.283881	−	0.873696i	−0.986732	−	0.162359i	$-0.948090\pi$
$877$	−8.40691	−	25.8738i	−0.283881	−	0.873696i	0.702851	−	0.711338i	$-0.251910\pi$
$878$	0.610706	−	0.443704i	0.0206103	−	0.0149743i
$879$	−7.16686			−0.241732
$880$	2.02371	−	2.75786i	0.0682191	−	0.0929675i
$881$	10.3570			0.348935			0.174467	−	0.984663i	$-0.444180\pi$
$881$	10.3570			0.348935			0.174467	+	0.984663i	$0.444180\pi$
$882$	−17.3757	+	12.6242i	−0.585071	+	0.425079i
$883$	2.28515	+	7.03296i	0.0769014	+	0.236678i	0.982116	−	0.188276i	$-0.0602901\pi$
$883$	2.28515	+	7.03296i	0.0769014	+	0.236678i	−0.905215	+	0.424954i	$0.860290\pi$
$884$	−3.72126	+	11.4529i	−0.125159	+	0.385201i
$885$	−6.70165	−	4.86903i	−0.225274	−	0.163671i
$886$	−9.59168	−	6.96877i	−0.322239	−	0.234120i
$887$	−5.58054	+	17.1752i	−0.187376	+	0.576685i	−0.999981	−	0.00612989i	$-0.998049\pi$
$887$	−5.58054	+	17.1752i	−0.187376	+	0.576685i	0.812605	+	0.582815i	$0.198049\pi$
$888$	−13.1970	−	40.6163i	−0.442864	−	1.36299i
$889$	9.93772	−	7.22018i	0.333300	−	0.242157i
$890$	6.02000			0.201791
$891$	1.08414	−	0.346596i	0.0363200	−	0.0116114i
$892$	23.3563			0.782027
$893$	36.2507	−	26.3377i	1.21309	−	0.881358i
$894$	−2.42536	−	7.46450i	−0.0811163	−	0.249650i
$895$	−0.452595	+	1.39295i	−0.0151286	+	0.0465610i
$896$	−8.38734	−	6.09376i	−0.280201	−	0.203578i
$897$	19.2666	+	13.9980i	0.643293	+	0.467380i
$898$	−8.16997	+	25.1446i	−0.272635	+	0.839085i
$899$	6.78623	+	20.8859i	0.226334	+	0.696583i
$900$	5.77714	−	4.19734i	0.192571	−	0.139911i
$901$	−28.4141			−0.946612
$902$	−0.0455564	+	9.62985i	−0.00151686	+	0.320639i
$903$	22.1817			0.738160
$904$	−0.628811	+	0.456858i	−0.0209139	+	0.0151949i
$905$	−2.87046	−	8.83437i	−0.0954173	−	0.293664i
$906$	−15.6096	+	48.0414i	−0.518594	+	1.59607i
$907$	−21.2748	−	15.4570i	−0.706417	−	0.513242i	0.175599	−	0.984462i	$-0.443814\pi$
$907$	−21.2748	−	15.4570i	−0.706417	−	0.513242i	−0.882016	+	0.471220i	$0.843814\pi$
$908$	−28.4521	−	20.6716i	−0.944215	−	0.686013i
$909$	−11.4036	+	35.0968i	−0.378235	+	1.16409i
$910$	0.810844	+	2.49552i	0.0268792	+	0.0827258i
$911$	−23.1774	+	16.8394i	−0.767902	+	0.557913i	−0.901324	−	0.433146i	$-0.857403\pi$
$911$	−23.1774	+	16.8394i	−0.767902	+	0.557913i	0.133422	+	0.991059i	$0.457403\pi$
$912$	22.2379			0.736371
$913$	0.0252611	−	5.33976i	0.000836020	−	0.176720i
$914$	18.5535			0.613694
$915$	−5.64185	+	4.09904i	−0.186514	+	0.135510i
$916$	6.75483	+	20.7892i	0.223186	+	0.686896i
$917$	−3.56560	+	10.9738i	−0.117746	+	0.362386i
$918$	−7.66487	−	5.56885i	−0.252978	−	0.183799i
$919$	−31.4358	−	22.8394i	−1.03697	−	0.753404i	−0.0672794	−	0.997734i	$-0.521432\pi$
$919$	−31.4358	−	22.8394i	−1.03697	−	0.753404i	−0.969692	+	0.244330i	$0.921432\pi$
$920$	−1.93462	+	5.95414i	−0.0637824	+	0.196302i
$921$	−7.81306	−	24.0461i	−0.257449	−	0.792347i
$922$	3.97224	−	2.88600i	0.130819	−	0.0950455i
$923$	6.97781			0.229677
$924$	13.3370	−	4.26381i	0.438756	−	0.140269i
$925$	5.95858			0.195917
$926$	23.1383	−	16.8110i	0.760373	−	0.552443i
$927$	−14.3722	−	44.2332i	−0.472046	−	1.45281i
$928$	10.7808	−	33.1799i	0.353898	−	1.08919i
$929$	−6.00397	−	4.36214i	−0.196984	−	0.143117i	0.484921	−	0.874558i	$-0.338848\pi$
$929$	−6.00397	−	4.36214i	−0.196984	−	0.143117i	−0.681905	+	0.731441i	$0.738848\pi$
$930$	−6.18820	−	4.49599i	−0.202919	−	0.147429i
$931$	14.0677	−	43.2959i	0.461050	−	1.41897i
$932$	−5.14046	−	15.8207i	−0.168381	−	0.518224i
$933$	−45.7722	+	33.2554i	−1.49851	+	1.08873i
$934$	−16.6334			−0.544260
$935$	4.70562	−	6.41272i	0.153890	−	0.209718i
$936$	43.1245			1.40957
$937$	12.0834	−	8.77914i	0.394749	−	0.286802i	−0.372650	−	0.927972i	$-0.621551\pi$
$937$	12.0834	−	8.77914i	0.394749	−	0.286802i	0.767399	+	0.641170i	$0.221551\pi$
$938$	1.44514	+	4.44768i	0.0471855	+	0.145222i
$939$	−6.17282	+	18.9980i	−0.201442	+	0.619975i
$940$	−6.88203	−	5.00009i	−0.224467	−	0.163085i
$941$	42.3447	+	30.7652i	1.38040	+	1.00292i	0.996843	+	0.0793986i	$0.0253000\pi$
$941$	42.3447	+	30.7652i	1.38040	+	1.00292i	0.383554	+	0.923518i	$0.374700\pi$
$942$	4.63488	−	14.2647i	0.151013	−	0.464769i
$943$	2.98727	+	9.19386i	0.0972788	+	0.299393i
$944$	−2.45840	+	1.78613i	−0.0800142	+	0.0581337i
$945$	5.52373			0.179687
$946$	−17.7706	−	5.86711i	−0.577773	−	0.190756i
$947$	−3.69553			−0.120088			−0.0600442	−	0.998196i	$-0.519124\pi$
$947$	−3.69553			−0.120088			−0.0600442	+	0.998196i	$0.519124\pi$
$948$	39.9976	−	29.0600i	1.29906	−	0.943825i
$949$	−0.880206	−	2.70899i	−0.0285727	−	0.0879377i
$950$	1.74805	−	5.37996i	0.0567144	−	0.174549i
$951$	5.21618	+	3.78978i	0.169146	+	0.122892i
$952$	−5.10116	−	3.70621i	−0.165329	−	0.120119i
$953$	13.3349	−	41.0406i	0.431959	−	1.32943i	−0.464211	−	0.885724i	$-0.653662\pi$
$953$	13.3349	−	41.0406i	0.431959	−	1.32943i	0.896171	−	0.443709i	$-0.146338\pi$
$954$	13.2465	+	40.7685i	0.428871	+	1.31993i
$955$	−3.61870	+	2.62914i	−0.117098	+	0.0850770i
$956$	−39.9011			−1.29049
$957$	32.4229	+	45.0732i	1.04808	+	1.45701i
$958$	1.20373			0.0388907
$959$	3.57229	−	2.59542i	0.115355	−	0.0838104i
$960$	1.96285	+	6.04104i	0.0633508	+	0.194974i
$961$	−5.37602	+	16.5457i	−0.173420	+	0.533732i
$962$	12.2641	+	8.91041i	0.395411	+	0.287283i
$963$	18.4390	+	13.3967i	0.594189	+	0.431704i
$964$	−4.92126	+	15.1461i	−0.158503	+	0.487822i
$965$	7.00418	+	21.5567i	0.225473	+	0.693933i
$966$	−4.24988	+	3.08772i	−0.136738	+	0.0993457i
$967$	−29.2144			−0.939471			−0.469736	−	0.882807i	$-0.655651\pi$
$967$	−29.2144			−0.939471			−0.469736	+	0.882807i	$0.655651\pi$
$968$	−28.0400	−	0.265306i	−0.901238	−	0.00852725i
$969$	51.7087			1.66112
$970$	−1.45776	+	1.05913i	−0.0468060	+	0.0340065i
$971$	−8.15948	−	25.1123i	−0.261850	−	0.805892i	−0.992402	−	0.123035i	$-0.960737\pi$
$971$	−8.15948	−	25.1123i	−0.261850	−	0.805892i	0.730552	−	0.682857i	$-0.239263\pi$
$972$	−6.79437	+	20.9109i	−0.217929	+	0.670718i
$973$	4.96737	+	3.60901i	0.159247	+	0.115699i
$974$	0.626780	+	0.455382i	0.0200833	+	0.0145914i
$975$	−2.99655	+	9.22244i	−0.0959664	+	0.295354i
$976$	0.790528	+	2.43300i	0.0253042	+	0.0778783i
$977$	12.8176	−	9.31251i	0.410070	−	0.297934i	−0.363560	−	0.931571i	$-0.618439\pi$
$977$	12.8176	−	9.31251i	0.410070	−	0.297934i	0.773630	+	0.633637i	$0.218439\pi$
$978$	38.7598			1.23940
$979$	15.8061	+	21.9731i	0.505166	+	0.702263i
$980$	−8.64252			−0.276075
$981$	21.1432	−	15.3615i	0.675051	−	0.490454i
$982$	3.17163	+	9.76126i	0.101211	+	0.311494i
$983$	10.8477	−	33.3858i	0.345988	−	1.06484i	−0.615064	−	0.788477i	$-0.710870\pi$
$983$	10.8477	−	33.3858i	0.345988	−	1.06484i	0.961053	−	0.276365i	$-0.0891300\pi$
$984$	22.8240	+	16.5826i	0.727604	+	0.528635i
$985$	−9.06744	−	6.58788i	−0.288913	−	0.209907i
$986$	3.25497	−	10.0178i	0.103659	−	0.319031i
$987$	−5.23576	−	16.1140i	−0.166656	−	0.512915i
$988$	−31.1534	+	22.6342i	−0.991120	+	0.720091i
$989$	−18.7861			−0.597363
$990$	−11.3947	−	3.76205i	−0.362147	−	0.119566i
$991$	18.9700			0.602600			0.301300	−	0.953529i	$-0.402579\pi$
$991$	18.9700			0.602600			0.301300	+	0.953529i	$0.402579\pi$
$992$	−17.4828	+	12.7020i	−0.555078	+	0.403288i
$993$	−13.3756	−	41.1658i	−0.424461	−	1.30636i
$994$	−0.475634	+	1.46385i	−0.0150862	+	0.0464306i
$995$	−6.32635	−	4.59636i	−0.200559	−	0.145714i
$996$	−5.33167	−	3.87369i	−0.168940	−	0.122742i
$997$	9.31213	−	28.6598i	0.294918	−	0.907665i	−0.688331	−	0.725397i	$-0.741656\pi$
$997$	9.31213	−	28.6598i	0.294918	−	0.907665i	0.983249	−	0.182268i	$-0.0583438\pi$
$998$	−3.95876	−	12.1838i	−0.125312	−	0.385672i
$999$	25.8175	−	18.7575i	0.816830	−	0.593462i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	55.2.g.b.36.2	yes	8
3.2	odd	2		495.2.n.e.91.1		8
4.3	odd	2		880.2.bo.h.641.2		8
5.2	odd	4		275.2.z.a.124.3		16
5.3	odd	4		275.2.z.a.124.2		16
5.4	even	2		275.2.h.a.201.1		8
11.2	odd	10		605.2.a.k.1.3		4
11.3	even	5		605.2.g.m.511.1		8
11.4	even	5	inner	55.2.g.b.26.2	✓	8
11.5	even	5		605.2.g.m.251.1		8
11.6	odd	10		605.2.g.e.251.2		8
11.7	odd	10		605.2.g.k.81.1		8
11.8	odd	10		605.2.g.e.511.2		8
11.9	even	5		605.2.a.j.1.2		4
11.10	odd	2		605.2.g.k.366.1		8
33.2	even	10		5445.2.a.bi.1.2		4
33.20	odd	10		5445.2.a.bp.1.3		4
33.26	odd	10		495.2.n.e.136.1		8
44.15	odd	10		880.2.bo.h.81.2		8
44.31	odd	10		9680.2.a.cn.1.4		4
44.35	even	10		9680.2.a.cm.1.4		4
55.4	even	10		275.2.h.a.26.1		8
55.9	even	10		3025.2.a.bd.1.3		4
55.24	odd	10		3025.2.a.w.1.2		4
55.37	odd	20		275.2.z.a.224.2		16
55.48	odd	20		275.2.z.a.224.3		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
55.2.g.b.26.2	✓	8	11.4	even	5	inner
55.2.g.b.36.2	yes	8	1.1	even	1	trivial
275.2.h.a.26.1		8	55.4	even	10
275.2.h.a.201.1		8	5.4	even	2
275.2.z.a.124.2		16	5.3	odd	4
275.2.z.a.124.3		16	5.2	odd	4
275.2.z.a.224.2		16	55.37	odd	20
275.2.z.a.224.3		16	55.48	odd	20
495.2.n.e.91.1		8	3.2	odd	2
495.2.n.e.136.1		8	33.26	odd	10
605.2.a.j.1.2		4	11.9	even	5
605.2.a.k.1.3		4	11.2	odd	10
605.2.g.e.251.2		8	11.6	odd	10
605.2.g.e.511.2		8	11.8	odd	10
605.2.g.k.81.1		8	11.7	odd	10
605.2.g.k.366.1		8	11.10	odd	2
605.2.g.m.251.1		8	11.5	even	5
605.2.g.m.511.1		8	11.3	even	5
880.2.bo.h.81.2		8	44.15	odd	10
880.2.bo.h.641.2		8	4.3	odd	2
3025.2.a.w.1.2		4	55.24	odd	10
3025.2.a.bd.1.3		4	55.9	even	10
5445.2.a.bi.1.2		4	33.2	even	10
5445.2.a.bp.1.3		4	33.20	odd	10
9680.2.a.cm.1.4		4	44.35	even	10
9680.2.a.cn.1.4		4	44.31	odd	10

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:	\( N \)	\(=\)	\( 55 = 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	55.g (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.596764 - 0.433574i) q^{2} +(-0.868820 - 2.67395i) q^{3} +(-0.449894 + 1.38463i) q^{4} +(0.809017 + 0.587785i) q^{5} +(-1.67784 - 1.21902i) q^{6} +(0.318714 - 0.980901i) q^{7} +(0.787747 + 2.42443i) q^{8} +(-3.96813 + 2.88301i) q^{9} +O(q^{10})\)	\(q+(0.596764 - 0.433574i) q^{2} +(-0.868820 - 2.67395i) q^{3} +(-0.449894 + 1.38463i) q^{4} +(0.809017 + 0.587785i) q^{5} +(-1.67784 - 1.21902i) q^{6} +(0.318714 - 0.980901i) q^{7} +(0.787747 + 2.42443i) q^{8} +(-3.96813 + 2.88301i) q^{9} +0.737640 q^{10} +(1.93675 + 2.69240i) q^{11} +4.09331 q^{12} +(-2.79029 + 2.02726i) q^{13} +(-0.235096 - 0.723552i) q^{14} +(0.868820 - 2.67395i) q^{15} +(-0.834404 - 0.606230i) q^{16} +(-1.94020 - 1.40964i) q^{17} +(-1.11803 + 3.44095i) q^{18} +(-2.36979 - 7.29347i) q^{19} +(-1.17784 + 0.855749i) q^{20} -2.89979 q^{21} +(2.32313 + 0.767001i) q^{22} +2.45589 q^{23} +(5.79842 - 4.21280i) q^{24} +(0.309017 + 0.951057i) q^{25} +(-0.786174 + 2.41960i) q^{26} +(4.33283 + 3.14799i) q^{27} +(1.21480 + 0.882602i) q^{28} +(-1.83998 + 5.66289i) q^{29} +(-0.640877 - 1.97242i) q^{30} +(2.98382 - 2.16787i) q^{31} -5.85919 q^{32} +(5.51666 - 7.51798i) q^{33} -1.76902 q^{34} +(0.834404 - 0.606230i) q^{35} +(-2.20667 - 6.79144i) q^{36} +(1.84130 - 5.66694i) q^{37} +(-4.57646 - 3.32500i) q^{38} +(7.84507 + 5.69978i) q^{39} +(-0.787747 + 2.42443i) q^{40} +(1.21637 + 3.74360i) q^{41} +(-1.73049 + 1.25727i) q^{42} -7.64941 q^{43} +(-4.59931 + 1.47039i) q^{44} -4.90488 q^{45} +(1.46558 - 1.06481i) q^{46} +(1.80557 + 5.55697i) q^{47} +(-0.896084 + 2.75786i) q^{48} +(4.80253 + 3.48924i) q^{49} +(0.596764 + 0.433574i) q^{50} +(-2.08362 + 6.41272i) q^{51} +(-1.55168 - 4.77558i) q^{52} +(9.58526 - 6.96410i) q^{53} +3.95056 q^{54} +(-0.0156899 + 3.31659i) q^{55} +2.62920 q^{56} +(-17.4435 + 12.6734i) q^{57} +(1.35725 + 4.17718i) q^{58} +(0.910456 - 2.80210i) q^{59} +(3.31156 + 2.40599i) q^{60} +(-2.00666 - 1.45792i) q^{61} +(0.840701 - 2.58741i) q^{62} +(1.56325 + 4.81120i) q^{63} +(-1.82774 + 1.32793i) q^{64} -3.44899 q^{65} +(0.0325397 - 6.87834i) q^{66} -6.14702 q^{67} +(2.82471 - 2.05227i) q^{68} +(-2.13372 - 6.56693i) q^{69} +(0.235096 - 0.723552i) q^{70} +(-1.63676 - 1.18918i) q^{71} +(-10.1156 - 7.34938i) q^{72} +(-0.255207 + 0.785446i) q^{73} +(-1.35822 - 4.18017i) q^{74} +(2.27460 - 1.65259i) q^{75} +11.1649 q^{76} +(3.25824 - 1.04165i) q^{77} +7.15293 q^{78} +(9.77146 - 7.09938i) q^{79} +(-0.318714 - 0.980901i) q^{80} +(0.106048 - 0.326382i) q^{81} +(2.34901 + 1.70666i) q^{82} +(-1.30253 - 0.946345i) q^{83} +(1.30460 - 4.01513i) q^{84} +(-0.741089 - 2.28084i) q^{85} +(-4.56489 + 3.31659i) q^{86} +16.7409 q^{87} +(-5.00188 + 6.81645i) q^{88} +8.16116 q^{89} +(-2.92705 + 2.12663i) q^{90} +(1.09924 + 3.38312i) q^{91} +(-1.10489 + 3.40050i) q^{92} +(-8.38919 - 6.09510i) q^{93} +(3.48685 + 2.53335i) q^{94} +(2.36979 - 7.29347i) q^{95} +(5.09058 + 15.6672i) q^{96} +(-1.97625 + 1.43583i) q^{97} +4.37882 q^{98} +(-15.4475 - 5.10011i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q - 2 q^{2} - 5 q^{3} - 2 q^{4} + 2 q^{5} - 7 q^{6} - q^{7} + 4 q^{8} - 5 q^{9}+O(q^{10}) \) 8 * q - 2 * q^2 - 5 * q^3 - 2 * q^4 + 2 * q^5 - 7 * q^6 - q^7 + 4 * q^8 - 5 * q^9	\( 8 q - 2 q^{2} - 5 q^{3} - 2 q^{4} + 2 q^{5} - 7 q^{6} - q^{7} + 4 q^{8} - 5 q^{9} + 2 q^{10} + 3 q^{11} + 16 q^{12} - 2 q^{13} - 16 q^{14} + 5 q^{15} + 4 q^{16} - 13 q^{17} + 15 q^{19} - 3 q^{20} - 20 q^{21} - 7 q^{22} + 10 q^{23} + 13 q^{24} - 2 q^{25} + 10 q^{26} + 10 q^{27} - 6 q^{28} - 9 q^{29} - 8 q^{30} - 10 q^{31} + 16 q^{32} + 5 q^{33} + 4 q^{34} - 4 q^{35} - 15 q^{36} + 24 q^{37} + 21 q^{39} - 4 q^{40} + 8 q^{41} + 9 q^{42} - 38 q^{43} - 12 q^{44} + 3 q^{46} + 5 q^{48} + q^{49} - 2 q^{50} + q^{51} - 28 q^{52} + 13 q^{53} + 16 q^{54} + 7 q^{55} + 22 q^{56} - 45 q^{57} + 12 q^{58} - 27 q^{59} + 4 q^{60} + 6 q^{61} - 30 q^{62} + 25 q^{63} - 26 q^{64} + 2 q^{65} + 13 q^{66} - 38 q^{67} + 11 q^{68} - q^{69} + 16 q^{70} - 20 q^{71} - 30 q^{72} + 13 q^{73} + 20 q^{74} + 5 q^{75} + 34 q^{77} - 16 q^{78} + 37 q^{79} + q^{80} + 8 q^{81} + 28 q^{82} + 27 q^{83} + 28 q^{84} - 12 q^{85} - 3 q^{86} + 38 q^{87} - 36 q^{88} - 16 q^{89} - 10 q^{90} + 44 q^{91} + 11 q^{92} - 35 q^{93} + 17 q^{94} - 15 q^{95} - 17 q^{96} + 24 q^{97} + 16 q^{98} - 20 q^{99}+O(q^{100}) \) 8 * q - 2 * q^2 - 5 * q^3 - 2 * q^4 + 2 * q^5 - 7 * q^6 - q^7 + 4 * q^8 - 5 * q^9 + 2 * q^10 + 3 * q^11 + 16 * q^12 - 2 * q^13 - 16 * q^14 + 5 * q^15 + 4 * q^16 - 13 * q^17 + 15 * q^19 - 3 * q^20 - 20 * q^21 - 7 * q^22 + 10 * q^23 + 13 * q^24 - 2 * q^25 + 10 * q^26 + 10 * q^27 - 6 * q^28 - 9 * q^29 - 8 * q^30 - 10 * q^31 + 16 * q^32 + 5 * q^33 + 4 * q^34 - 4 * q^35 - 15 * q^36 + 24 * q^37 + 21 * q^39 - 4 * q^40 + 8 * q^41 + 9 * q^42 - 38 * q^43 - 12 * q^44 + 3 * q^46 + 5 * q^48 + q^49 - 2 * q^50 + q^51 - 28 * q^52 + 13 * q^53 + 16 * q^54 + 7 * q^55 + 22 * q^56 - 45 * q^57 + 12 * q^58 - 27 * q^59 + 4 * q^60 + 6 * q^61 - 30 * q^62 + 25 * q^63 - 26 * q^64 + 2 * q^65 + 13 * q^66 - 38 * q^67 + 11 * q^68 - q^69 + 16 * q^70 - 20 * q^71 - 30 * q^72 + 13 * q^73 + 20 * q^74 + 5 * q^75 + 34 * q^77 - 16 * q^78 + 37 * q^79 + q^80 + 8 * q^81 + 28 * q^82 + 27 * q^83 + 28 * q^84 - 12 * q^85 - 3 * q^86 + 38 * q^87 - 36 * q^88 - 16 * q^89 - 10 * q^90 + 44 * q^91 + 11 * q^92 - 35 * q^93 + 17 * q^94 - 15 * q^95 - 17 * q^96 + 24 * q^97 + 16 * q^98 - 20 * q^99

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