LMFDB - Embedded newform 55.2.g.b.26.2

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			26.2
Root			$-0.227943 + 0.701538i$ of defining polynomial
Character	$\chi$	$=$	55.26
Dual form			55.2.g.b.36.2

$q$-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 $\left(\mathbb{Z}/55\mathbb{Z}\right)^\times$.

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

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	0.778432	−	0.627729i	$-0.216015\pi$
$2$	0.596764	+	0.433574i	0.421976	+	0.306583i	−0.356457	+	0.934312i	$0.616015\pi$
$3$	−0.868820	+	2.67395i	−0.501614	+	1.54381i	0.304777	+	0.952424i	$0.401418\pi$
$3$	−0.868820	+	2.67395i	−0.501614	+	1.54381i	−0.806390	+	0.591384i	$0.798582\pi$
$4$	−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	0.993047	−	0.117717i	$-0.0375577\pi$
$7$	0.318714	+	0.980901i	0.120463	+	0.370746i	−0.872585	+	0.488463i	$0.837558\pi$
$8$	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	0.129251	−	0.991612i	$-0.458743\pi$
$13$	−2.79029	−	2.02726i	−0.773887	−	0.562262i	−0.903138	+	0.429350i	$0.858743\pi$
$14$	−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	−0.797662	−	0.603105i	$-0.793930\pi$
$17$	−1.94020	+	1.40964i	−0.470567	+	0.341887i	0.327095	+	0.944991i	$0.393930\pi$
$18$	−1.11803	−	3.44095i	−0.263523	−	0.811041i
$19$	−2.36979	+	7.29347i	−0.543668	+	1.67324i	0.180470	+	0.983581i	$0.442238\pi$
$19$	−2.36979	+	7.29347i	−0.543668	+	1.67324i	−0.724137	+	0.689656i	$0.757762\pi$
$20$	−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	−0.963339	−	0.268287i	$-0.913542\pi$
$29$	−1.83998	−	5.66289i	−0.341677	−	1.05157i	0.621663	−	0.783285i	$-0.286458\pi$
$30$	−0.640877	+	1.97242i	−0.117008	+	0.360112i
$31$	2.98382	+	2.16787i	0.535909	+	0.389361i	0.822564	−	0.568673i	$-0.192543\pi$
$31$	2.98382	+	2.16787i	0.535909	+	0.389361i	−0.286654	+	0.958034i	$0.592543\pi$
$32$	−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	0.980523	+	0.196407i	$0.0629273\pi$
$37$	1.84130	+	5.66694i	0.302708	+	0.931640i	−0.677814	+	0.735233i	$0.737073\pi$
$38$	−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	−0.810033	−	0.586384i	$-0.800551\pi$
$41$	1.21637	−	3.74360i	0.189965	−	0.584652i	0.999999	+	0.00173135i	$0.000551106\pi$
$42$	−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	−0.728695	−	0.684838i	$-0.759873\pi$
$47$	1.80557	−	5.55697i	0.263369	−	0.810567i	0.992065	−	0.125729i	$-0.0401270\pi$
$48$	−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	0.999968	+	0.00805607i	$0.00256435\pi$
$53$	9.58526	+	6.96410i	1.31664	+	0.956592i	0.316669	+	0.948536i	$0.397436\pi$
$54$	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	0.992667	−	0.120880i	$-0.0385715\pi$
$59$	0.910456	+	2.80210i	0.118531	+	0.364802i	−0.874136	+	0.485681i	$0.838572\pi$
$60$	3.31156	−	2.40599i	0.427521	−	0.310612i
$61$	−2.00666	+	1.45792i	−0.256927	+	0.186668i	−0.708791	−	0.705419i	$-0.750759\pi$
$61$	−2.00666	+	1.45792i	−0.256927	+	0.186668i	0.451864	+	0.892087i	$0.350759\pi$
$62$	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	−0.680658	−	0.732601i	$-0.738306\pi$
$71$	−1.63676	+	1.18918i	−0.194248	+	0.141129i	0.486410	+	0.873731i	$0.338306\pi$
$72$	−10.1156	+	7.34938i	−1.19213	+	0.866133i
$73$	−0.255207	−	0.785446i	−0.0298697	−	0.0919295i	0.935010	−	0.354621i	$-0.115390\pi$
$73$	−0.255207	−	0.785446i	−0.0298697	−	0.0919295i	−0.964880	+	0.262691i	$0.915390\pi$
$74$	−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	0.980958	−	0.194221i	$-0.0622180\pi$
$79$	9.77146	+	7.09938i	1.09937	+	0.798742i	0.118417	+	0.992964i	$0.462218\pi$
$80$	−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	−0.656972	−	0.753915i	$-0.728163\pi$
$83$	−1.30253	+	0.946345i	−0.142971	+	0.103875i	0.514000	+	0.857790i	$0.328163\pi$
$84$	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	0.482919	−	0.875665i	$-0.339577\pi$
$97$	−1.97625	−	1.43583i	−0.200658	−	0.145787i	−0.683577	+	0.729879i	$0.739577\pi$
$98$	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	0.847884	−	0.530182i	$-0.177876\pi$
$101$	6.08683	+	4.42234i	0.605662	+	0.440039i	−0.242222	+	0.970221i	$0.577876\pi$
$102$	1.53696	−	4.73028i	0.152182	−	0.468367i
$103$	−2.93020	−	9.01821i	−0.288721	−	0.888591i	−0.985259	−	0.171071i	$-0.945277\pi$
$103$	−2.93020	−	9.01821i	−0.288721	−	0.888591i	0.696538	−	0.717520i	$-0.254723\pi$
$104$	−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	−0.996164	−	0.0875039i	$-0.972111\pi$
$107$	−1.43593	+	4.41935i	−0.138817	+	0.427235i	0.857347	+	0.514739i	$0.172111\pi$
$108$	−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	−0.946527	−	0.322625i	$-0.895435\pi$
$113$	0.0942195	−	0.289978i	0.00886342	−	0.0272788i	0.955390	+	0.295346i	$0.0954349\pi$
$114$	−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	−0.0715199	−	0.997439i	$-0.522785\pi$
$127$	9.63536	−	7.00050i	0.855000	−	0.621194i	0.926520	+	0.376245i	$0.122785\pi$
$128$	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	−0.429914	−	0.902870i	$-0.641456\pi$
$137$	3.46360	−	2.51645i	0.295915	−	0.214995i	0.725829	+	0.687875i	$0.241456\pi$
$138$	−4.12058	+	2.99378i	−0.350767	+	0.254847i
$139$	−1.83964	−	5.66183i	−0.156036	−	0.480230i	0.842228	−	0.539121i	$-0.181243\pi$
$139$	−1.83964	−	5.66183i	−0.156036	−	0.480230i	−0.998264	+	0.0588913i	$0.981243\pi$
$140$	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	−0.455269	−	0.890354i	$-0.650457\pi$
$149$	3.06168	−	2.22444i	0.250823	−	0.182233i	0.706091	+	0.708121i	$0.250457\pi$
$150$	0.640877	+	1.97242i	0.0523274	+	0.161047i
$151$	−7.52661	+	23.1645i	−0.612507	+	1.88510i	−0.179348	+	0.983786i	$0.557399\pi$
$151$	−7.52661	+	23.1645i	−0.612507	+	1.88510i	−0.433159	+	0.901317i	$0.642601\pi$
$152$	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	−0.821411	−	0.570336i	$-0.806813\pi$
$157$	2.23484	−	6.87813i	0.178360	−	0.548935i	0.999771	+	0.0214015i	$0.00681284\pi$
$158$	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	−0.191630	−	0.981467i	$-0.561377\pi$
$163$	−15.1198	−	10.9852i	−1.18428	−	0.860428i	−0.992648	+	0.121039i	$0.961377\pi$
$164$	−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	0.314172	−	0.949366i	$-0.398273\pi$
$167$	−6.35343	−	4.61604i	−0.491644	−	0.357200i	−0.805816	+	0.592166i	$0.798273\pi$
$168$	−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	−0.728848	−	0.684675i	$-0.759944\pi$
$173$	3.46244	−	10.6563i	0.263244	−	0.810183i	0.992093	−	0.125508i	$-0.0400560\pi$
$174$	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	−0.932716	−	0.360611i	$-0.882568\pi$
$179$	0.452595	−	1.39295i	0.0338286	−	0.104114i	0.966545	+	0.256497i	$0.0825684\pi$
$180$	2.20667	+	6.79144i	0.164476	+	0.506204i
$181$	−7.51496	+	5.45994i	−0.558583	+	0.405834i	−0.830940	−	0.556362i	$-0.812197\pi$
$181$	−7.51496	+	5.45994i	−0.558583	+	0.405834i	0.272357	+	0.962196i	$0.412197\pi$
$182$	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	0.888514	−	0.458850i	$-0.151738\pi$
$191$	−1.38222	−	4.25404i	−0.100014	−	0.307811i	−0.988528	+	0.151038i	$0.951738\pi$
$192$	5.13881	−	3.73357i	0.370862	−	0.269447i
$193$	18.3372	−	13.3227i	1.31994	−	0.958992i	0.320007	−	0.947415i	$-0.396315\pi$
$193$	18.3372	−	13.3227i	1.31994	−	0.958992i	0.999933	−	0.0115772i	$-0.00368521\pi$
$194$	−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	0.999121	−	0.0419098i	$-0.0133442\pi$
$211$	18.4189	+	13.3821i	1.26801	+	0.921262i	0.268887	+	0.963172i	$0.413344\pi$
$212$	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	0.636216	+	0.771511i	$0.280499\pi$
$223$	−4.95746	+	15.2575i	−0.331976	+	1.02172i	−0.968192	+	0.250207i	$0.919501\pi$
$224$	−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	−0.816257	−	0.577689i	$-0.803955\pi$
$227$	−7.46468	−	22.9739i	−0.495448	−	1.52483i	0.320809	−	0.947144i	$-0.396045\pi$
$228$	−9.70030	+	29.8545i	−0.642418	+	1.97716i
$229$	12.1468	+	8.82517i	0.802684	+	0.583184i	0.911700	−	0.410856i	$-0.134770\pi$
$229$	12.1468	+	8.82517i	0.802684	+	0.583184i	−0.109017	+	0.994040i	$0.534770\pi$
$230$	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	0.242275	−	0.970208i	$-0.422106\pi$
$233$	−9.24378	−	6.71600i	−0.605580	−	0.439980i	−0.847855	+	0.530228i	$0.822106\pi$
$234$	−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	−0.166358	−	0.986065i	$-0.553201\pi$
$239$	8.46914	−	26.0653i	0.547823	−	1.68603i	0.714181	−	0.699961i	$-0.246799\pi$
$240$	−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	0.0533238	−	0.998577i	$-0.483018\pi$
$251$	−13.9403	−	10.1282i	−0.879902	−	0.639286i	−0.933225	+	0.359291i	$0.883018\pi$
$252$	−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	0.955125	+	0.296204i	$0.0957207\pi$
$257$	5.71540	+	17.5902i	0.356517	+	1.09725i	−0.598608	+	0.801042i	$0.704279\pi$
$258$	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	−0.314841	−	0.949145i	$-0.601951\pi$
$269$	8.04575	−	5.84558i	0.490558	−	0.356411i	0.805399	+	0.592733i	$0.201951\pi$
$270$	3.19607	−	2.32208i	0.194507	−	0.141317i
$271$	0.387400	+	1.19229i	0.0235329	+	0.0724267i	0.962133	−	0.272580i	$-0.0878768\pi$
$271$	0.387400	+	1.19229i	0.0235329	+	0.0724267i	−0.938600	+	0.345006i	$0.887877\pi$
$272$	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	0.766851	−	0.641825i	$-0.221823\pi$
$277$	6.54763	+	4.75713i	0.393409	+	0.285828i	−0.373442	+	0.927654i	$0.621823\pi$
$278$	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	−0.996459	−	0.0840804i	$-0.973205\pi$
$281$	−20.5250	+	14.9123i	−1.22442	+	0.889591i	−0.227958	+	0.973671i	$0.573205\pi$
$282$	3.74461	+	11.5247i	0.222988	+	0.686286i
$283$	−6.31705	+	19.4419i	−0.375510	+	1.15570i	0.567624	+	0.823288i	$0.307863\pi$
$283$	−6.31705	+	19.4419i	−0.375510	+	1.15570i	−0.943134	+	0.332412i	$0.892137\pi$
$284$	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	0.971426	−	0.237344i	$-0.0762770\pi$
$293$	0.787705	+	2.42431i	0.0460182	+	0.141630i	−0.925407	+	0.378974i	$0.876277\pi$
$294$	−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	0.604767	+	0.796402i	$0.293266\pi$
$311$	−6.21840	+	19.1383i	−0.352613	+	1.08523i	−0.957380	+	0.288830i	$0.906734\pi$
$312$	−7.63881	−	23.5098i	−0.432463	−	1.33098i
$313$	−5.74792	+	4.17611i	−0.324892	+	0.236048i	−0.738260	−	0.674516i	$-0.764352\pi$
$313$	−5.74792	+	4.17611i	−0.324892	+	0.236048i	0.413368	+	0.910564i	$0.364352\pi$
$314$	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	0.534464	−	0.845191i	$-0.320513\pi$
$317$	−1.85526	−	1.34793i	−0.104202	−	0.0757071i	−0.638666	+	0.769484i	$0.720513\pi$
$318$	−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	−0.969978	−	0.243193i	$-0.921805\pi$
$337$	−6.02485	−	18.5426i	−0.328195	−	1.01008i	0.641783	−	0.766886i	$-0.278195\pi$
$338$	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	−0.539687	−	0.841866i	$-0.681457\pi$
$347$	1.75479	−	1.27493i	0.0942023	−	0.0684420i	0.633889	+	0.773424i	$0.281457\pi$
$348$	−7.53163	−	23.1800i	−0.403738	−	1.24258i
$349$	−7.74150	+	23.8259i	−0.414393	+	1.27537i	0.498400	+	0.866947i	$0.333921\pi$
$349$	−7.74150	+	23.8259i	−0.414393	+	1.27537i	−0.912793	+	0.408423i	$0.866079\pi$
$350$	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	0.999043	−	0.0437429i	$-0.0139282\pi$
$359$	3.12799	+	9.62695i	0.165089	+	0.508091i	−0.833954	+	0.551834i	$0.813928\pi$
$360$	−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	0.976505	−	0.215493i	$-0.0691359\pi$
$367$	1.14622	+	3.52770i	0.0598322	+	0.184145i	−0.916673	+	0.399638i	$0.869136\pi$
$368$	−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	−0.364947	−	0.931028i	$-0.618913\pi$
$379$	7.93783	−	5.76717i	0.407739	−	0.296240i	0.772686	+	0.634789i	$0.218913\pi$
$380$	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	0.894595	−	0.446878i	$-0.147464\pi$
$383$	14.6002	+	10.6076i	0.746034	+	0.542025i	−0.148561	+	0.988903i	$0.547464\pi$
$384$	−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	0.826546	+	0.562869i	$0.190302\pi$
$389$	9.63871	+	29.6649i	0.488702	+	1.50407i	−0.337844	+	0.941202i	$0.609698\pi$
$390$	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	0.130503	−	0.991448i	$-0.458341\pi$
$401$	22.3029	−	16.2040i	1.11375	−	0.809190i	0.983251	+	0.182258i	$0.0583407\pi$
$402$	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	0.262062	−	0.965051i	$-0.415598\pi$
$409$	−11.6241	−	8.44540i	−0.574774	−	0.417598i	−0.836836	+	0.547453i	$0.815598\pi$
$410$	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	−0.524679	−	0.851300i	$-0.675815\pi$
$421$	8.21095	−	25.2707i	0.400177	−	1.23162i	0.924856	−	0.380318i	$-0.124185\pi$
$422$	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	0.660608	−	0.750731i	$-0.270299\pi$
$431$	3.12984	+	2.27397i	0.150759	+	0.109533i	−0.509849	+	0.860264i	$0.670299\pi$
$432$	−1.70693	+	5.25338i	−0.0821246	+	0.252754i
$433$	12.4036	+	38.1743i	0.596077	+	1.83454i	0.549288	+	0.835633i	$0.314899\pi$
$433$	12.4036	+	38.1743i	0.596077	+	1.83454i	0.0467895	+	0.998905i	$0.485101\pi$
$434$	−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	0.761011	+	0.648739i	$0.224703\pi$
$443$	−4.96678	+	15.2862i	−0.235979	+	0.726268i	−0.996990	+	0.0775295i	$0.975297\pi$
$444$	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	−0.997857	−	0.0654379i	$-0.979156\pi$
$449$	−28.9969	−	21.0675i	−1.36845	−	0.994235i	−0.370590	−	0.928797i	$-0.620844\pi$
$450$	−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	0.000625413	−	1.00000i	$-0.499801\pi$
$457$	20.3488	−	14.7842i	0.951875	−	0.691578i	0.951250	+	0.308422i	$0.0998009\pi$
$458$	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	−0.923535	−	0.383514i	$-0.874714\pi$
$467$	−18.2429	+	13.2542i	−0.844179	+	0.613332i	0.0793559	+	0.996846i	$0.474714\pi$
$468$	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	−0.557216	−	0.830368i	$-0.688130\pi$
$479$	1.32021	−	0.959186i	0.0603218	−	0.0438263i	0.617538	+	0.786541i	$0.288130\pi$
$480$	−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	−0.943434	−	0.331562i	$-0.892425\pi$
$487$	0.324560	−	0.998894i	0.0147072	−	0.0452642i	0.958141	+	0.286297i	$0.0924245\pi$
$488$	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	−0.999986	−	0.00520928i	$-0.998342\pi$
$491$	−4.29969	−	13.2331i	−0.194042	−	0.597201i	0.805944	−	0.591992i	$-0.201658\pi$
$492$	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	0.996381	+	0.0849943i	$0.0270872\pi$
$499$	5.36679	+	16.5173i	0.240250	+	0.739415i	−0.756131	+	0.654420i	$0.772913\pi$
$500$	−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	−0.324498	−	0.945887i	$-0.605195\pi$
$503$	11.0794	−	34.0988i	0.494005	−	1.52039i	0.818502	−	0.574503i	$-0.194805\pi$
$504$	−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	−0.935340	−	0.353750i	$-0.884906\pi$
$509$	0.660921	−	2.03410i	0.0292948	−	0.0901601i	0.964635	+	0.263590i	$0.0849065\pi$
$510$	−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	0.827093	−	0.562065i	$-0.189993\pi$
$521$	−3.93540	−	12.1119i	−0.172413	−	0.530633i	−0.999506	+	0.0314326i	$0.989993\pi$
$522$	−17.4286	+	12.6626i	−0.762828	+	0.554227i
$523$	−19.3426	+	14.0532i	−0.845793	+	0.614504i	−0.923983	−	0.382434i	$-0.875086\pi$
$523$	−19.3426	+	14.0532i	−0.845793	+	0.614504i	0.0781901	+	0.996938i	$0.475086\pi$
$524$	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	0.564606	−	0.825360i	$-0.309028\pi$
$541$	−1.06726	−	0.775410i	−0.0458851	−	0.0333375i	−0.610491	+	0.792023i	$0.709028\pi$
$542$	−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	−0.870403	−	0.492341i	$-0.836141\pi$
$547$	2.88044	−	8.86507i	0.123159	−	0.379043i	0.993561	+	0.113298i	$0.0361414\pi$
$548$	−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	0.783648	+	0.621205i	$0.213356\pi$
$557$	12.1497	+	37.3929i	0.514798	+	1.58439i	−0.268850	+	0.963182i	$0.586644\pi$
$558$	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	0.192508	−	0.981295i	$-0.438338\pi$
$563$	−16.1649	−	11.7445i	−0.681271	−	0.494972i	−0.873779	+	0.486323i	$0.838338\pi$
$564$	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	0.431637	+	0.902047i	$0.357936\pi$
$569$	−10.6811	+	32.8730i	−0.447775	+	1.37811i	−0.879412	+	0.476061i	$0.842064\pi$
$570$	−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	−0.943579	−	0.331148i	$-0.892564\pi$
$577$	−22.1044	+	16.0598i	−0.920220	+	0.668579i	0.0233590	+	0.999727i	$0.492564\pi$
$578$	−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	−0.583236	−	0.812303i	$-0.698214\pi$
$587$	−14.2667	−	43.9082i	−0.588848	−	1.81229i	−0.00561158	−	0.999984i	$-0.501786\pi$
$588$	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	−0.604984	−	0.796238i	$-0.706820\pi$
$599$	−0.848455	+	0.616438i	−0.0346669	+	0.0251870i	0.570317	+	0.821425i	$0.306820\pi$
$600$	5.79842	−	4.21280i	0.236719	−	0.171987i
$601$	8.42065	+	25.9161i	0.343485	+	1.05714i	0.962390	+	0.271673i	$0.0875768\pi$
$601$	8.42065	+	25.9161i	0.343485	+	1.05714i	−0.618904	+	0.785466i	$0.712423\pi$
$602$	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	0.166492	−	0.986043i	$-0.446756\pi$
$607$	−17.7350	−	12.8852i	−0.719842	−	0.522996i	−0.886334	+	0.463047i	$0.846756\pi$
$608$	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	−0.862944	−	0.505300i	$-0.831382\pi$
$613$	3.27313	−	10.0736i	0.132200	−	0.406871i	0.995144	+	0.0984293i	$0.0313818\pi$
$614$	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	−0.406043	−	0.913854i	$-0.633092\pi$
$619$	11.4348	−	35.1926i	0.459603	−	1.41451i	0.865645	−	0.500657i	$-0.166908\pi$
$620$	−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	−0.979459	−	0.201644i	$-0.935372\pi$
$631$	−7.67617	−	23.6248i	−0.305583	−	0.940489i	0.673875	−	0.738845i	$-0.264628\pi$
$632$	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	0.185096	+	0.982720i	$0.440740\pi$
$641$	−13.7294	+	42.2547i	−0.542278	+	1.66896i	−0.727374	+	0.686241i	$0.759260\pi$
$642$	−2.97801	−	9.16538i	−0.117533	−	0.361729i
$643$	−20.9220	+	15.2007i	−0.825082	+	0.599457i	−0.918164	−	0.396201i	$-0.870328\pi$
$643$	−20.9220	+	15.2007i	−0.825082	+	0.599457i	0.0930818	+	0.995658i	$0.470328\pi$
$644$	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	0.233063	−	0.972462i	$-0.425125\pi$
$647$	−15.7649	−	11.4539i	−0.619782	−	0.450298i	−0.852845	+	0.522163i	$0.825125\pi$
$648$	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	−0.999813	−	0.0193305i	$-0.993847\pi$
$653$	−5.16979	−	15.9110i	−0.202310	−	0.622645i	0.797504	−	0.603314i	$-0.206153\pi$
$654$	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	0.994633	−	0.103462i	$-0.0329920\pi$
$673$	31.2239	+	22.6855i	1.20359	+	0.874462i	0.208961	+	0.977924i	$0.432992\pi$
$674$	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	0.205855	−	0.978582i	$-0.434002\pi$
$677$	31.2271	−	22.6878i	1.20016	−	0.871964i	0.994300	+	0.106619i	$0.0340024\pi$
$678$	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	0.504524	−	0.863398i	$-0.331668\pi$
$691$	−4.22456	−	3.06932i	−0.160710	−	0.116763i	−0.665234	+	0.746635i	$0.731668\pi$
$692$	−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	−0.999054	−	0.0434831i	$-0.986155\pi$
$701$	−4.37506	+	13.4650i	−0.165244	+	0.508568i	0.833811	+	0.552051i	$0.186155\pi$
$702$	−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	−0.294715	−	0.955585i	$-0.595225\pi$
$709$	13.9267	−	10.1183i	0.523028	−	0.380002i	0.817744	+	0.575583i	$0.195225\pi$
$710$	−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	−0.979287	−	0.202478i	$-0.935100\pi$
$719$	−8.20624	−	25.2562i	−0.306041	−	0.941897i	0.673246	−	0.739419i	$-0.264900\pi$
$720$	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	0.986431	+	0.164179i	$0.0524975\pi$
$733$	7.71320	+	23.7388i	0.284894	+	0.876812i	−0.701537	+	0.712633i	$0.747502\pi$
$734$	−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	0.225135	−	0.974327i	$-0.427718\pi$
$739$	−17.1789	−	12.4812i	−0.631934	−	0.459127i	−0.857070	+	0.515200i	$0.827718\pi$
$740$	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	−0.0311852	−	0.999514i	$-0.509928\pi$
$743$	24.7986	−	18.0172i	0.909772	−	0.660988i	0.940957	+	0.338526i	$0.109928\pi$
$744$	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	0.621549	+	0.783375i	$0.286504\pi$
$751$	−9.36548	+	28.8240i	−0.341751	+	1.05180i	−0.963300	+	0.268427i	$0.913496\pi$
$752$	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	0.967364	−	0.253391i	$-0.0815459\pi$
$757$	28.2099	+	20.4957i	1.02531	+	0.744929i	0.0579427	+	0.998320i	$0.481546\pi$
$758$	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	0.626527	−	0.779400i	$-0.284476\pi$
$761$	2.17603	+	1.58098i	0.0788809	+	0.0573104i	−0.547646	+	0.836710i	$0.684476\pi$
$762$	−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	−0.398314	−	0.917249i	$-0.630405\pi$
$773$	12.8748	−	39.6246i	0.463074	−	1.42520i	0.861388	−	0.507947i	$-0.169595\pi$
$774$	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	0.0664148	−	0.997792i	$-0.478844\pi$
$787$	29.0605	−	21.1137i	1.03589	−	0.752622i	0.969480	+	0.245170i	$0.0788439\pi$
$788$	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	−0.0317713	−	0.999495i	$-0.510115\pi$
$797$	25.6618	−	18.6444i	0.908987	−	0.660418i	0.940759	+	0.339077i	$0.110115\pi$
$798$	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	−0.460053	−	0.887891i	$-0.652170\pi$
$809$	6.88936	−	5.00541i	0.242217	−	0.175981i	0.702270	+	0.711910i	$0.252170\pi$
$810$	0.0782252	+	0.240753i	0.00274855	+	0.00845918i
$811$	2.79052	−	8.58832i	0.0979882	−	0.301577i	−0.890033	−	0.455897i	$-0.849319\pi$
$811$	2.79052	−	8.58832i	0.0979882	−	0.301577i	0.988021	+	0.154320i	$0.0493186\pi$
$812$	−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	−0.595806	−	0.803129i	$-0.703167\pi$
$821$	−16.7866	−	51.6638i	−0.585856	−	1.80308i	0.00994979	−	0.999950i	$-0.496833\pi$
$822$	−2.74375	+	8.44439i	−0.0956993	+	0.294532i
$823$	−14.4486	−	10.4975i	−0.503646	−	0.365920i	0.306762	−	0.951786i	$-0.400755\pi$
$823$	−14.4486	−	10.4975i	−0.503646	−	0.365920i	−0.810408	+	0.585866i	$0.800755\pi$
$824$	−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	0.982981	+	0.183708i	$0.0588100\pi$
$827$	42.0280	+	30.5351i	1.46146	+	1.06181i	0.478474	+	0.878102i	$0.341190\pi$
$828$	−5.41934	+	16.6790i	−0.188335	+	0.579636i
$829$	−6.10185	−	18.7796i	−0.211926	−	0.652241i	−0.999358	−	0.0358392i	$-0.988590\pi$
$829$	−6.10185	−	18.7796i	−0.211926	−	0.652241i	0.787431	−	0.616402i	$-0.211410\pi$
$830$	−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	−0.970611	−	0.240655i	$-0.922638\pi$
$839$	−1.27207	+	3.91502i	−0.0439166	+	0.135162i	0.926694	+	0.375817i	$0.122638\pi$
$840$	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	−0.661386	−	0.750046i	$-0.730032\pi$
$853$	−4.45190	+	3.23449i	−0.152430	+	0.110747i	0.508956	+	0.860792i	$0.330032\pi$
$854$	−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	−0.654004	−	0.756491i	$-0.726912\pi$
$863$	−4.01394	+	2.91630i	−0.136636	+	0.0992720i	0.517368	+	0.855763i	$0.326912\pi$
$864$	−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	0.702851	+	0.711338i	$0.251910\pi$
$877$	−8.40691	+	25.8738i	−0.283881	+	0.873696i	−0.986732	+	0.162359i	$0.948090\pi$
$878$	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	−0.905215	−	0.424954i	$-0.860290\pi$
$883$	2.28515	−	7.03296i	0.0769014	−	0.236678i	0.982116	+	0.188276i	$0.0602901\pi$
$884$	−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	0.812605	−	0.582815i	$-0.198049\pi$
$887$	−5.58054	−	17.1752i	−0.187376	−	0.576685i	−0.999981	+	0.00612989i	$0.998049\pi$
$888$	−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	−0.882016	−	0.471220i	$-0.843814\pi$
$907$	−21.2748	+	15.4570i	−0.706417	+	0.513242i	0.175599	+	0.984462i	$0.443814\pi$
$908$	−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	0.133422	−	0.991059i	$-0.457403\pi$
$911$	−23.1774	−	16.8394i	−0.767902	−	0.557913i	−0.901324	+	0.433146i	$0.857403\pi$
$912$	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	−0.969692	−	0.244330i	$-0.921432\pi$
$919$	−31.4358	+	22.8394i	−1.03697	+	0.753404i	−0.0672794	+	0.997734i	$0.521432\pi$
$920$	−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	−0.681905	−	0.731441i	$-0.738848\pi$
$929$	−6.00397	+	4.36214i	−0.196984	+	0.143117i	0.484921	+	0.874558i	$0.338848\pi$
$930$	−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	0.767399	−	0.641170i	$-0.221551\pi$
$937$	12.0834	+	8.77914i	0.394749	+	0.286802i	−0.372650	+	0.927972i	$0.621551\pi$
$938$	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	0.383554	−	0.923518i	$-0.374700\pi$
$941$	42.3447	−	30.7652i	1.38040	−	1.00292i	0.996843	−	0.0793986i	$-0.0253000\pi$
$942$	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	0.896171	+	0.443709i	$0.146338\pi$
$953$	13.3349	+	41.0406i	0.431959	+	1.32943i	−0.464211	+	0.885724i	$0.653662\pi$
$954$	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	0.730552	+	0.682857i	$0.239263\pi$
$971$	−8.15948	+	25.1123i	−0.261850	+	0.805892i	−0.992402	+	0.123035i	$0.960737\pi$
$972$	−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	0.773630	−	0.633637i	$-0.218439\pi$
$977$	12.8176	+	9.31251i	0.410070	+	0.297934i	−0.363560	+	0.931571i	$0.618439\pi$
$978$	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	0.961053	+	0.276365i	$0.0891300\pi$
$983$	10.8477	+	33.3858i	0.345988	+	1.06484i	−0.615064	+	0.788477i	$0.710870\pi$
$984$	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	0.983249	+	0.182268i	$0.0583438\pi$
$997$	9.31213	+	28.6598i	0.294918	+	0.907665i	−0.688331	+	0.725397i	$0.741656\pi$
$998$	−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.26.2	✓	8
3.2	odd	2		495.2.n.e.136.1		8
4.3	odd	2		880.2.bo.h.81.2		8
5.2	odd	4		275.2.z.a.224.2		16
5.3	odd	4		275.2.z.a.224.3		16
5.4	even	2		275.2.h.a.26.1		8
11.2	odd	10		605.2.g.e.511.2		8
11.3	even	5	inner	55.2.g.b.36.2	yes	8
11.4	even	5		605.2.g.m.251.1		8
11.5	even	5		605.2.a.j.1.2		4
11.6	odd	10		605.2.a.k.1.3		4
11.7	odd	10		605.2.g.e.251.2		8
11.8	odd	10		605.2.g.k.366.1		8
11.9	even	5		605.2.g.m.511.1		8
11.10	odd	2		605.2.g.k.81.1		8
33.5	odd	10		5445.2.a.bp.1.3		4
33.14	odd	10		495.2.n.e.91.1		8
33.17	even	10		5445.2.a.bi.1.2		4
44.3	odd	10		880.2.bo.h.641.2		8
44.27	odd	10		9680.2.a.cn.1.4		4
44.39	even	10		9680.2.a.cm.1.4		4
55.3	odd	20		275.2.z.a.124.2		16
55.14	even	10		275.2.h.a.201.1		8
55.39	odd	10		3025.2.a.w.1.2		4
55.47	odd	20		275.2.z.a.124.3		16
55.49	even	10		3025.2.a.bd.1.3		4

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
55.2.g.b.26.2	✓	8	1.1	even	1	trivial
55.2.g.b.36.2	yes	8	11.3	even	5	inner
275.2.h.a.26.1		8	5.4	even	2
275.2.h.a.201.1		8	55.14	even	10
275.2.z.a.124.2		16	55.3	odd	20
275.2.z.a.124.3		16	55.47	odd	20
275.2.z.a.224.2		16	5.2	odd	4
275.2.z.a.224.3		16	5.3	odd	4
495.2.n.e.91.1		8	33.14	odd	10
495.2.n.e.136.1		8	3.2	odd	2
605.2.a.j.1.2		4	11.5	even	5
605.2.a.k.1.3		4	11.6	odd	10
605.2.g.e.251.2		8	11.7	odd	10
605.2.g.e.511.2		8	11.2	odd	10
605.2.g.k.81.1		8	11.10	odd	2
605.2.g.k.366.1		8	11.8	odd	10
605.2.g.m.251.1		8	11.4	even	5
605.2.g.m.511.1		8	11.9	even	5
880.2.bo.h.81.2		8	4.3	odd	2
880.2.bo.h.641.2		8	44.3	odd	10
3025.2.a.w.1.2		4	55.39	odd	10
3025.2.a.bd.1.3		4	55.49	even	10
5445.2.a.bi.1.2		4	33.17	even	10
5445.2.a.bp.1.3		4	33.5	odd	10
9680.2.a.cm.1.4		4	44.39	even	10
9680.2.a.cn.1.4		4	44.27	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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