LMFDB - Embedded newform 63.2.h.b.58.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [63,2,Mod(25,63)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(63, base_ring=CyclotomicField(6))

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

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

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

chi := DirichletCharacter("63.25");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 63 = 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	63.h (of order $3$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.503057532734$
Analytic rank:	$0$
Dimension:	$10$
Relative dimension:	$5$ over $\Q(\zeta_{3})$
Coefficient field:	10.0.991381711347.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{10} - 2x^{9} + 9x^{8} - 8x^{7} + 40x^{6} - 36x^{5} + 90x^{4} - 3x^{3} + 36x^{2} - 9x + 9 $ x^10 - 2x^9 + 9x^8 - 8x^7 + 40x^6 - 36x^5 + 90x^4 - 3x^3 + 36x^2 - 9*x + 9
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 3 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label			58.4
Root			$-0.335166 - 0.580525i$ of defining polynomial
Character	$\chi$	$=$	63.58
Dual form			63.2.h.b.25.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+0.670333 q^{2} +(1.65263 + 0.518475i) q^{3} -1.55065 q^{4} +(-0.712469 - 1.23403i) q^{5} +(1.10781 + 0.347551i) q^{6} +(-2.36039 + 1.19522i) q^{7} -2.38012 q^{8} +(2.46237 + 1.71369i) q^{9} +O(q^{10})$	\(q+0.670333 q^{2} +(1.65263 + 0.518475i) q^{3} -1.55065 q^{4} +(-0.712469 - 1.23403i) q^{5} +(1.10781 + 0.347551i) q^{6} +(-2.36039 + 1.19522i) q^{7} -2.38012 q^{8} +(2.46237 + 1.71369i) q^{9} +(-0.477591 - 0.827212i) q^{10} +(2.46539 - 4.27018i) q^{11} +(-2.56266 - 0.803975i) q^{12} +(-1.37730 + 2.38556i) q^{13} +(-1.58225 + 0.801194i) q^{14} +(-0.537632 - 2.40879i) q^{15} +1.50584 q^{16} +(0.559839 + 0.969670i) q^{17} +(1.65061 + 1.14874i) q^{18} +(-2.00752 + 3.47713i) q^{19} +(1.10479 + 1.91356i) q^{20} +(-4.52054 + 0.751449i) q^{21} +(1.65263 - 2.86244i) q^{22} +(-2.71830 - 4.70824i) q^{23} +(-3.93346 - 1.23403i) q^{24} +(1.48478 - 2.57171i) q^{25} +(-0.923251 + 1.59912i) q^{26} +(3.18087 + 4.10878i) q^{27} +(3.66015 - 1.85337i) q^{28} +(3.40555 + 5.89858i) q^{29} +(-0.360392 - 1.61469i) q^{30} +2.50584 q^{31} +5.76965 q^{32} +(6.28835 - 5.77878i) q^{33} +(0.375279 + 0.650002i) q^{34} +(3.15664 + 2.06124i) q^{35} +(-3.81828 - 2.65735i) q^{36} +(0.709787 - 1.22939i) q^{37} +(-1.34571 + 2.33083i) q^{38} +(-3.51302 + 3.22835i) q^{39} +(1.69576 + 2.93714i) q^{40} +(0.124384 - 0.215440i) q^{41} +(-3.03027 + 0.503721i) q^{42} +(-0.498313 - 0.863104i) q^{43} +(-3.82296 + 6.62156i) q^{44} +(0.360392 - 4.25959i) q^{45} +(-1.82217 - 3.15609i) q^{46} -9.47579 q^{47} +(2.48859 + 0.780738i) q^{48} +(4.14291 - 5.64237i) q^{49} +(0.995294 - 1.72390i) q^{50} +(0.422457 + 1.89277i) q^{51} +(2.13572 - 3.69917i) q^{52} +(-0.410229 - 0.710537i) q^{53} +(2.13224 + 2.75425i) q^{54} -7.02604 q^{55} +(5.61802 - 2.84476i) q^{56} +(-5.12050 + 4.70556i) q^{57} +(2.28285 + 3.95401i) q^{58} -6.58407 q^{59} +(0.833682 + 3.73521i) q^{60} +0.0752645 q^{61} +1.67974 q^{62} +(-7.86039 - 1.10192i) q^{63} +0.855913 q^{64} +3.92514 q^{65} +(4.21529 - 3.87370i) q^{66} -12.5877 q^{67} +(-0.868117 - 1.50362i) q^{68} +(-2.05125 - 9.19035i) q^{69} +(2.11600 + 1.38172i) q^{70} +0.0804951 q^{71} +(-5.86073 - 4.07880i) q^{72} +(5.34551 + 9.25869i) q^{73} +(0.475793 - 0.824098i) q^{74} +(3.78715 - 3.48026i) q^{75} +(3.11297 - 5.39183i) q^{76} +(-0.715488 + 13.0260i) q^{77} +(-2.35489 + 2.16407i) q^{78} -1.84491 q^{79} +(-1.07286 - 1.85825i) q^{80} +(3.12651 + 8.43949i) q^{81} +(0.0833788 - 0.144416i) q^{82} +(-7.23583 - 12.5328i) q^{83} +(7.00980 - 1.16524i) q^{84} +(0.797736 - 1.38172i) q^{85} +(-0.334036 - 0.578567i) q^{86} +(2.56984 + 11.5139i) q^{87} +(-5.86792 + 10.1635i) q^{88} +(6.76292 - 11.7137i) q^{89} +(0.241583 - 2.85534i) q^{90} +(0.399711 - 7.27703i) q^{91} +(4.21515 + 7.30085i) q^{92} +(4.14122 + 1.29921i) q^{93} -6.35193 q^{94} +5.72119 q^{95} +(9.53509 + 2.99142i) q^{96} +(2.70160 + 4.67930i) q^{97} +(2.77712 - 3.78226i) q^{98} +(13.3885 - 6.28982i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q - 4 q^{2} - q^{3} + 8 q^{4} + 4 q^{5} - 2 q^{6} - 4 q^{7} - 6 q^{8} + 11 q^{9}+O(q^{10}) $ 10 * q - 4 * q^2 - q^3 + 8 * q^4 + 4 * q^5 - 2 * q^6 - 4 * q^7 - 6 * q^8 + 11 * q^9	\( 10 q - 4 q^{2} - q^{3} + 8 q^{4} + 4 q^{5} - 2 q^{6} - 4 q^{7} - 6 q^{8} + 11 q^{9} - 7 q^{10} + 4 q^{11} - 20 q^{12} - 8 q^{13} - 20 q^{14} - 19 q^{15} - 4 q^{16} + 12 q^{17} + 4 q^{18} + q^{19} + 5 q^{20} + 13 q^{21} - q^{22} + 3 q^{23} + 6 q^{24} - q^{25} + 11 q^{26} - 7 q^{27} - 2 q^{28} + 7 q^{29} + 16 q^{30} + 6 q^{31} + 4 q^{32} + 14 q^{33} + 3 q^{34} + 5 q^{35} + 34 q^{36} + 20 q^{38} + 2 q^{39} - 3 q^{40} + 5 q^{41} - 4 q^{42} - 7 q^{43} - 10 q^{44} - 16 q^{45} + 3 q^{46} - 54 q^{47} - 5 q^{48} - 8 q^{49} + 19 q^{50} - 9 q^{51} - 10 q^{52} - 21 q^{53} + q^{54} + 4 q^{55} + 18 q^{56} - 4 q^{57} - 10 q^{58} - 60 q^{59} + 10 q^{60} + 28 q^{61} - 12 q^{62} - 59 q^{63} - 50 q^{64} + 22 q^{65} + 19 q^{66} + 4 q^{67} + 27 q^{68} + 15 q^{69} + 40 q^{70} - 6 q^{71} - 36 q^{72} + 15 q^{73} - 36 q^{74} - 14 q^{75} + 5 q^{76} + 11 q^{77} - 20 q^{78} + 8 q^{79} + 20 q^{80} + 23 q^{81} - 5 q^{82} + 9 q^{83} + 35 q^{84} - 6 q^{85} - 8 q^{86} + 2 q^{87} - 18 q^{88} + 28 q^{89} + 28 q^{90} - 4 q^{91} + 27 q^{92} - 6 q^{93} + 6 q^{94} + 28 q^{95} + 59 q^{96} - 12 q^{97} + 59 q^{98} + 35 q^{99}+O(q^{100}) \) 10 * q - 4 * q^2 - q^3 + 8 * q^4 + 4 * q^5 - 2 * q^6 - 4 * q^7 - 6 * q^8 + 11 * q^9 - 7 * q^10 + 4 * q^11 - 20 * q^12 - 8 * q^13 - 20 * q^14 - 19 * q^15 - 4 * q^16 + 12 * q^17 + 4 * q^18 + q^19 + 5 * q^20 + 13 * q^21 - q^22 + 3 * q^23 + 6 * q^24 - q^25 + 11 * q^26 - 7 * q^27 - 2 * q^28 + 7 * q^29 + 16 * q^30 + 6 * q^31 + 4 * q^32 + 14 * q^33 + 3 * q^34 + 5 * q^35 + 34 * q^36 + 20 * q^38 + 2 * q^39 - 3 * q^40 + 5 * q^41 - 4 * q^42 - 7 * q^43 - 10 * q^44 - 16 * q^45 + 3 * q^46 - 54 * q^47 - 5 * q^48 - 8 * q^49 + 19 * q^50 - 9 * q^51 - 10 * q^52 - 21 * q^53 + q^54 + 4 * q^55 + 18 * q^56 - 4 * q^57 - 10 * q^58 - 60 * q^59 + 10 * q^60 + 28 * q^61 - 12 * q^62 - 59 * q^63 - 50 * q^64 + 22 * q^65 + 19 * q^66 + 4 * q^67 + 27 * q^68 + 15 * q^69 + 40 * q^70 - 6 * q^71 - 36 * q^72 + 15 * q^73 - 36 * q^74 - 14 * q^75 + 5 * q^76 + 11 * q^77 - 20 * q^78 + 8 * q^79 + 20 * q^80 + 23 * q^81 - 5 * q^82 + 9 * q^83 + 35 * q^84 - 6 * q^85 - 8 * q^86 + 2 * q^87 - 18 * q^88 + 28 * q^89 + 28 * q^90 - 4 * q^91 + 27 * q^92 - 6 * q^93 + 6 * q^94 + 28 * q^95 + 59 * q^96 - 12 * q^97 + 59 * q^98 + 35 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/63\mathbb{Z}\right)^\times$.

$n$	$10$	$29$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	0.670333			0.473997			0.236998	−	0.971510i	$-0.423836\pi$
$2$	0.670333			0.473997			0.236998	+	0.971510i	$0.423836\pi$
$3$	1.65263	+	0.518475i	0.954146	+	0.299342i
$3$	1.65263	+	0.518475i	0.954146	+	0.299342i
$4$	−1.55065			−0.775327
$5$	−0.712469	−	1.23403i	−0.318626	−	0.551876i	0.661576	−	0.749878i	$-0.269888\pi$
$5$	−0.712469	−	1.23403i	−0.318626	−	0.551876i	−0.980202	+	0.198002i	$0.936555\pi$
$6$	1.10781	+	0.347551i	0.452262	+	0.141887i
$7$	−2.36039	+	1.19522i	−0.892144	+	0.451750i
$7$	−2.36039	+	1.19522i	−0.892144	+	0.451750i
$8$	−2.38012			−0.841499
$9$	2.46237	+	1.71369i	0.820789	+	0.571231i
$10$	−0.477591	−	0.827212i	−0.151028	−	0.261587i
$11$	2.46539	−	4.27018i	0.743342	−	1.28751i	−0.207623	−	0.978209i	$-0.566573\pi$
$11$	2.46539	−	4.27018i	0.743342	−	1.28751i	0.950965	−	0.309297i	$-0.100094\pi$
$12$	−2.56266	−	0.803975i	−0.739775	−	0.232088i
$13$	−1.37730	+	2.38556i	−0.381995	+	0.661635i	−0.991347	−	0.131265i	$-0.958096\pi$
$13$	−1.37730	+	2.38556i	−0.381995	+	0.661635i	0.609352	+	0.792900i	$0.291429\pi$
$14$	−1.58225	+	0.801194i	−0.422874	+	0.214128i
$15$	−0.537632	−	2.40879i	−0.138816	−	0.621948i
$16$	1.50584			0.376459
$17$	0.559839	+	0.969670i	0.135781	+	0.235180i	0.925896	−	0.377780i	$-0.123312\pi$
$17$	0.559839	+	0.969670i	0.135781	+	0.235180i	−0.790115	+	0.612959i	$0.789979\pi$
$18$	1.65061	+	1.14874i	0.389051	+	0.270762i
$19$	−2.00752	+	3.47713i	−0.460557	+	0.797709i	−0.998989	−	0.0449606i	$-0.985684\pi$
$19$	−2.00752	+	3.47713i	−0.460557	+	0.797709i	0.538431	+	0.842669i	$0.319017\pi$
$20$	1.10479	+	1.91356i	0.247039	+	0.427884i
$21$	−4.52054	+	0.751449i	−0.986464	+	0.163980i
$22$	1.65263	−	2.86244i	0.352342	−	0.610274i
$23$	−2.71830	−	4.70824i	−0.566806	−	0.981736i	−0.996879	−	0.0789424i	$-0.974846\pi$
$23$	−2.71830	−	4.70824i	−0.566806	−	0.981736i	0.430073	−	0.902794i	$-0.358488\pi$
$24$	−3.93346	−	1.23403i	−0.802913	−	0.251896i
$25$	1.48478	−	2.57171i	0.296955	−	0.514342i
$26$	−0.923251	+	1.59912i	−0.181064	+	0.313613i
$27$	3.18087	+	4.10878i	0.612160	+	0.790734i
$28$	3.66015	−	1.85337i	0.691704	−	0.350254i
$29$	3.40555	+	5.89858i	0.632394	+	1.09534i	0.987061	+	0.160346i	$0.0512611\pi$
$29$	3.40555	+	5.89858i	0.632394	+	1.09534i	−0.354667	+	0.934993i	$0.615406\pi$
$30$	−0.360392	−	1.61469i	−0.0657984	−	0.294801i
$31$	2.50584			0.450061			0.225031	−	0.974352i	$-0.427752\pi$
$31$	2.50584			0.450061			0.225031	+	0.974352i	$0.427752\pi$
$32$	5.76965			1.01994
$33$	6.28835	−	5.77878i	1.09466	−	1.00596i
$34$	0.375279	+	0.650002i	0.0643597	+	0.111474i
$35$	3.15664	+	2.06124i	0.533570	+	0.348414i
$36$	−3.81828	−	2.65735i	−0.636380	−	0.442891i
$37$	0.709787	−	1.22939i	0.116688	−	0.202110i	−0.801765	−	0.597639i	$-0.796106\pi$
$37$	0.709787	−	1.22939i	0.116688	−	0.202110i	0.918453	+	0.395529i	$0.129439\pi$
$38$	−1.34571	+	2.33083i	−0.218303	+	0.378111i
$39$	−3.51302	+	3.22835i	−0.562534	+	0.516949i
$40$	1.69576	+	2.93714i	0.268123	+	0.464403i
$41$	0.124384	−	0.215440i	0.0194256	−	0.0336460i	−0.856149	−	0.516729i	$-0.827150\pi$
$41$	0.124384	−	0.215440i	0.0194256	−	0.0336460i	0.875575	+	0.483083i	$0.160483\pi$
$42$	−3.03027	+	0.503721i	−0.467581	+	0.0777258i
$43$	−0.498313	−	0.863104i	−0.0759921	−	0.131622i	0.825525	−	0.564365i	$-0.190879\pi$
$43$	−0.498313	−	0.863104i	−0.0759921	−	0.131622i	−0.901517	+	0.432743i	$0.857546\pi$
$44$	−3.82296	+	6.62156i	−0.576333	+	0.998238i
$45$	0.360392	−	4.25959i	0.0537241	−	0.634983i
$46$	−1.82217	−	3.15609i	−0.268664	−	0.465340i
$47$	−9.47579			−1.38219			−0.691093	−	0.722766i	$-0.742871\pi$
$47$	−9.47579			−1.38219			−0.691093	+	0.722766i	$0.742871\pi$
$48$	2.48859	+	0.780738i	0.359197	+	0.112690i
$49$	4.14291	−	5.64237i	0.591844	−	0.806053i
$50$	0.995294	−	1.72390i	0.140756	−	0.243796i
$51$	0.422457	+	1.89277i	0.0591559	+	0.265041i
$52$	2.13572	−	3.69917i	0.296171	−	0.512983i
$53$	−0.410229	−	0.710537i	−0.0563493	−	0.0975998i	0.836475	−	0.548005i	$-0.184613\pi$
$53$	−0.410229	−	0.710537i	−0.0563493	−	0.0975998i	−0.892824	+	0.450406i	$0.851279\pi$
$54$	2.13224	+	2.75425i	0.290162	+	0.374805i
$55$	−7.02604			−0.947392
$56$	5.61802	−	2.84476i	0.750739	−	0.380147i
$57$	−5.12050	+	4.70556i	−0.678226	+	0.623267i
$58$	2.28285	+	3.95401i	0.299753	+	0.519187i
$59$	−6.58407			−0.857173			−0.428586	−	0.903501i	$-0.640988\pi$
$59$	−6.58407			−0.857173			−0.428586	+	0.903501i	$0.640988\pi$
$60$	0.833682	+	3.73521i	0.107628	+	0.482213i
$61$	0.0752645			0.00963663			0.00481831	−	0.999988i	$-0.498466\pi$
$61$	0.0752645			0.00963663			0.00481831	+	0.999988i	$0.498466\pi$
$62$	1.67974			0.213328
$63$	−7.86039	−	1.10192i	−0.990316	−	0.138829i
$64$	0.855913			0.106989
$65$	3.92514			0.486854
$66$	4.21529	−	3.87370i	0.518866	−	0.476820i
$67$	−12.5877			−1.53783			−0.768916	−	0.639350i	$-0.779204\pi$
$67$	−12.5877			−1.53783			−0.768916	+	0.639350i	$0.779204\pi$
$68$	−0.868117	−	1.50362i	−0.105275	−	0.182341i
$69$	−2.05125	−	9.19035i	−0.246941	−	1.10639i
$70$	2.11600	+	1.38172i	0.252911	+	0.165147i
$71$	0.0804951			0.00955301			0.00477651	−	0.999989i	$-0.498480\pi$
$71$	0.0804951			0.00955301			0.00477651	+	0.999989i	$0.498480\pi$
$72$	−5.86073	−	4.07880i	−0.690694	−	0.480691i
$73$	5.34551	+	9.25869i	0.625644	+	1.08365i	0.988416	+	0.151769i	$0.0484971\pi$
$73$	5.34551	+	9.25869i	0.625644	+	1.08365i	−0.362772	+	0.931878i	$0.618170\pi$
$74$	0.475793	−	0.824098i	0.0553098	−	0.0957995i
$75$	3.78715	−	3.48026i	0.437303	−	0.401866i
$76$	3.11297	−	5.39183i	0.357083	−	0.618485i
$77$	−0.715488	+	13.0260i	−0.0815374	+	1.48445i
$78$	−2.35489	+	2.16407i	−0.266639	+	0.245032i
$79$	−1.84491			−0.207569			−0.103785	−	0.994600i	$-0.533095\pi$
$79$	−1.84491			−0.207569			−0.103785	+	0.994600i	$0.533095\pi$
$80$	−1.07286	−	1.85825i	−0.119950	−	0.207759i
$81$	3.12651	+	8.43949i	0.347390	+	0.937721i
$82$	0.0833788	−	0.144416i	0.00920765	−	0.0159481i
$83$	−7.23583	−	12.5328i	−0.794236	−	1.37566i	−0.923323	−	0.384023i	$-0.874538\pi$
$83$	−7.23583	−	12.5328i	−0.794236	−	1.37566i	0.129088	−	0.991633i	$-0.458795\pi$
$84$	7.00980	−	1.16524i	0.764832	−	0.127138i
$85$	0.797736	−	1.38172i	0.0865266	−	0.149868i
$86$	−0.334036	−	0.578567i	−0.0360200	−	0.0623885i
$87$	2.56984	+	11.5139i	0.275516	+	1.23442i
$88$	−5.86792	+	10.1635i	−0.625522	+	1.08344i
$89$	6.76292	−	11.7137i	0.716868	−	1.24165i	−0.245366	−	0.969430i	$-0.578908\pi$
$89$	6.76292	−	11.7137i	0.716868	−	1.24165i	0.962235	−	0.272222i	$-0.0877584\pi$
$90$	0.241583	−	2.85534i	0.0254651	−	0.300980i
$91$	0.399711	−	7.27703i	0.0419011	−	0.762840i
$92$	4.21515	+	7.30085i	0.439460	+	0.761167i
$93$	4.14122	+	1.29921i	0.429424	+	0.134722i
$94$	−6.35193			−0.655152
$95$	5.72119			0.586982
$96$	9.53509	+	2.99142i	0.973171	+	0.305310i
$97$	2.70160	+	4.67930i	0.274306	+	0.475111i	0.969960	−	0.243266i	$-0.0782187\pi$
$97$	2.70160	+	4.67930i	0.274306	+	0.475111i	−0.695654	+	0.718377i	$0.744885\pi$
$98$	2.77712	−	3.78226i	0.280532	−	0.382066i
$99$	13.3885	−	6.28982i	1.34559	−	0.632151i
$100$	−2.30238	+	3.98783i	−0.230238	+	0.398783i
$101$	2.56770	−	4.44739i	0.255496	−	0.442531i	−0.709534	−	0.704671i	$-0.751095\pi$
$101$	2.56770	−	4.44739i	0.255496	−	0.442531i	0.965030	+	0.262139i	$0.0844280\pi$
$102$	0.283187	+	1.26878i	0.0280397	+	0.125628i
$103$	7.10561	+	12.3073i	0.700137	+	1.21267i	0.968418	+	0.249332i	$0.0802109\pi$
$103$	7.10561	+	12.3073i	0.700137	+	1.21267i	−0.268282	+	0.963341i	$0.586456\pi$
$104$	3.27814	−	5.67791i	0.321448	−	0.556765i
$105$	4.14806	+	5.04311i	0.404809	+	0.492157i
$106$	−0.274990	−	0.476296i	−0.0267094	−	0.0462620i
$107$	3.83015	−	6.63401i	0.370274	−	0.641334i	−0.619333	−	0.785128i	$-0.712597\pi$
$107$	3.83015	−	6.63401i	0.370274	−	0.641334i	0.989608	+	0.143794i	$0.0459303\pi$
$108$	−4.93244	−	6.37129i	−0.474624	−	0.613078i
$109$	−0.849394	−	1.47119i	−0.0813572	−	0.140915i	0.822476	−	0.568800i	$-0.192592\pi$
$109$	−0.849394	−	1.47119i	−0.0813572	−	0.140915i	−0.903833	+	0.427885i	$0.859259\pi$
$110$	−4.70979			−0.449061
$111$	1.81042	−	1.66371i	0.171838	−	0.157913i
$112$	−3.55436	+	1.79980i	−0.335856	+	0.170065i
$113$	−0.300351	+	0.520224i	−0.0282547	+	0.0489385i	−0.879807	−	0.475331i	$-0.842328\pi$
$113$	−0.300351	+	0.520224i	−0.0282547	+	0.0489385i	0.851552	+	0.524270i	$0.175662\pi$
$114$	−3.43244	+	3.15429i	−0.321477	+	0.295426i
$115$	−3.87341	+	6.70895i	−0.361198	+	0.625613i
$116$	−5.28083	−	9.14666i	−0.490312	−	0.849246i
$117$	−7.47954	+	3.51385i	−0.691484	+	0.324855i
$118$	−4.41352			−0.406297
$119$	−2.48041	−	1.61967i	−0.227379	−	0.148475i
$120$	1.27963	+	5.73322i	0.116814	+	0.523369i
$121$	−6.65626	−	11.5290i	−0.605115	−	1.04809i
$122$	0.0504522			0.00456773
$123$	0.317261	−	0.291552i	0.0286065	−	0.0262884i
$124$	−3.88569			−0.348945
$125$	−11.3561			−1.01572
$126$	−5.26908	−	0.738654i	−0.469407	−	0.0658045i
$127$	7.25977			0.644200			0.322100	−	0.946706i	$-0.395611\pi$
$127$	7.25977			0.644200			0.322100	+	0.946706i	$0.395611\pi$
$128$	−10.9656			−0.969227
$129$	−0.376030	−	1.68475i	−0.0331076	−	0.148334i
$130$	2.63115			0.230767
$131$	10.2265	+	17.7128i	0.893492	+	1.54757i	0.835660	+	0.549248i	$0.185086\pi$
$131$	10.2265	+	17.7128i	0.893492	+	1.54757i	0.0578326	+	0.998326i	$0.481581\pi$
$132$	−9.75105	+	8.96088i	−0.848720	+	0.779945i
$133$	0.582610	−	10.6068i	0.0505187	−	0.919728i
$134$	−8.43794			−0.728927
$135$	2.80409	−	6.85267i	0.241337	−	0.589784i
$136$	−1.33248	−	2.30793i	−0.114260	−	0.197903i
$137$	−6.10581	+	10.5756i	−0.521655	+	0.903532i	0.478028	+	0.878345i	$0.341352\pi$
$137$	−6.10581	+	10.5756i	−0.521655	+	0.903532i	−0.999683	+	0.0251879i	$0.991982\pi$
$138$	−1.37502	−	6.16059i	−0.117049	−	0.524425i
$139$	−1.24092	+	2.14933i	−0.105253	+	0.182304i	−0.913842	−	0.406071i	$-0.866899\pi$
$139$	−1.24092	+	2.14933i	−0.105253	+	0.182304i	0.808588	+	0.588375i	$0.200232\pi$
$140$	−4.89486	−	3.19628i	−0.413691	−	0.270135i
$141$	−15.6600	−	4.91296i	−1.31881	−	0.413746i
$142$	0.0539585			0.00452810
$143$	6.79117	+	11.7626i	0.567906	+	0.983642i
$144$	3.70792	+	2.58054i	0.308994	+	0.215045i
$145$	4.85269	−	8.40511i	0.402994	−	0.698006i
$146$	3.58327	+	6.20640i	0.296553	+	0.513645i
$147$	9.77211	−	7.17675i	0.805990	−	0.591929i
$148$	−1.10063	+	1.90635i	−0.0904715	+	0.156701i
$149$	4.27797	+	7.40966i	0.350465	+	0.607023i	0.986331	−	0.164777i	$-0.0526903\pi$
$149$	4.27797	+	7.40966i	0.350465	+	0.607023i	−0.635866	+	0.771799i	$0.719357\pi$
$150$	2.53865	−	2.33293i	0.207280	−	0.190483i
$151$	8.82962	−	15.2933i	0.718544	−	1.24455i	−0.243033	−	0.970018i	$-0.578142\pi$
$151$	8.82962	−	15.2933i	0.718544	−	1.24455i	0.961577	−	0.274537i	$-0.0885244\pi$
$152$	4.77814	−	8.27599i	0.387559	−	0.671271i
$153$	−0.283187	+	3.34708i	−0.0228943	+	0.270595i
$154$	−0.479615	+	8.73173i	−0.0386485	+	0.703623i
$155$	−1.78533	−	3.09228i	−0.143401	−	0.248378i
$156$	5.44748	−	5.00605i	0.436148	−	0.400805i
$157$	6.32149			0.504510			0.252255	−	0.967661i	$-0.418828\pi$
$157$	6.32149			0.504510			0.252255	+	0.967661i	$0.418828\pi$
$158$	−1.23671			−0.0983871
$159$	−0.309561	−	1.38695i	−0.0245498	−	0.109992i
$160$	−4.11070	−	7.11993i	−0.324979	−	0.562880i
$161$	12.0436	+	7.86433i	0.949172	+	0.619796i
$162$	2.09580	+	5.65726i	0.164662	+	0.444477i
$163$	−4.01134	+	6.94784i	−0.314192	+	0.544197i	−0.979265	−	0.202581i	$-0.935067\pi$
$163$	−4.01134	+	6.94784i	−0.314192	+	0.544197i	0.665073	+	0.746778i	$0.268400\pi$
$164$	−0.192877	+	0.334073i	−0.0150612	+	0.0260867i
$165$	−11.6114	−	3.64283i	−0.903950	−	0.283594i
$166$	−4.85041	−	8.40116i	−0.376465	−	0.652057i
$167$	1.06038	−	1.83663i	0.0820545	−	0.142123i	−0.822078	−	0.569375i	$-0.807185\pi$
$167$	1.06038	−	1.83663i	0.0820545	−	0.142123i	0.904132	+	0.427253i	$0.140518\pi$
$168$	10.7594	−	1.78854i	0.830109	−	0.137989i
$169$	2.70608	+	4.68706i	0.208160	+	0.360543i
$170$	0.534749	−	0.926212i	0.0410133	−	0.0710372i
$171$	−10.9020	+	5.12170i	−0.833697	+	0.391666i
$172$	0.772712	+	1.33838i	0.0589187	+	0.102050i
$173$	−18.2881			−1.39042			−0.695208	−	0.718808i	$-0.744688\pi$
$173$	−18.2881			−1.39042			−0.695208	+	0.718808i	$0.744688\pi$
$174$	1.72265	+	7.71812i	0.130594	+	0.585109i
$175$	−0.430902	+	7.84487i	−0.0325731	+	0.593017i
$176$	3.71247	−	6.43018i	0.279838	−	0.484693i
$177$	−10.8810	−	3.41367i	−0.817868	−	0.256587i
$178$	4.53341	−	7.85209i	0.339793	−	0.588539i
$179$	3.81276	+	6.60389i	0.284979	+	0.493598i	0.972604	−	0.232468i	$-0.0746801\pi$
$179$	3.81276	+	6.60389i	0.284979	+	0.493598i	−0.687625	+	0.726066i	$0.741347\pi$
$180$	−0.558844	+	6.60516i	−0.0416538	+	0.492319i
$181$	15.5305			1.15438			0.577188	−	0.816611i	$-0.304150\pi$
$181$	15.5305			1.15438			0.577188	+	0.816611i	$0.304150\pi$
$182$	0.267940	−	4.87803i	0.0198610	−	0.361584i
$183$	0.124384	+	0.0390227i	0.00919475	+	0.00288464i
$184$	6.46989	+	11.2062i	0.476967	+	0.826130i
$185$	−2.02280			−0.148719
$186$	2.77599	+	0.870905i	0.203546	+	0.0638578i
$187$	5.52088			0.403727
$188$	14.6937			1.07165
$189$	−12.4190	−	5.89648i	−0.903349	−	0.428906i
$190$	3.83510			0.278227
$191$	14.8325			1.07324			0.536620	−	0.843824i	$-0.319701\pi$
$191$	14.8325			1.07324			0.536620	+	0.843824i	$0.319701\pi$
$192$	1.41451	+	0.443769i	0.102083	+	0.0320263i
$193$	16.5677			1.19257			0.596286	−	0.802772i	$-0.296642\pi$
$193$	16.5677			1.19257			0.596286	+	0.802772i	$0.296642\pi$
$194$	1.81097	+	3.13669i	0.130020	+	0.225201i
$195$	6.48680	+	2.03509i	0.464529	+	0.145736i
$196$	−6.42421	+	8.74936i	−0.458872	+	0.624955i
$197$	−4.03740			−0.287653			−0.143826	−	0.989603i	$-0.545941\pi$
$197$	−4.03740			−0.287653			−0.143826	+	0.989603i	$0.545941\pi$
$198$	8.97472	−	4.21628i	0.637806	−	0.299638i
$199$	−12.6407	−	21.8943i	−0.896076	−	1.55205i	−0.832468	−	0.554074i	$-0.813073\pi$
$199$	−12.6407	−	21.8943i	−0.896076	−	1.55205i	−0.0636081	−	0.997975i	$-0.520261\pi$
$200$	−3.53395	+	6.12097i	−0.249888	+	0.432818i
$201$	−20.8028	−	6.52640i	−1.46732	−	0.460337i
$202$	1.72121	−	2.98123i	0.121104	−	0.209758i
$203$	−15.0885	−	9.85259i	−1.05901	−	0.691516i
$204$	−0.655085	−	2.93503i	−0.0458651	−	0.205493i
$205$	−0.354480			−0.0247579
$206$	4.76312	+	8.24997i	0.331862	+	0.574803i
$207$	1.37502	−	16.2518i	0.0955703	−	1.12958i
$208$	−2.07399	+	3.59226i	−0.143805	+	0.249078i
$209$	9.89864	+	17.1449i	0.684703	+	1.18594i
$210$	2.78058	+	3.38056i	0.191878	+	0.233281i
$211$	−3.76246	+	6.51678i	−0.259019	+	0.448634i	−0.965979	−	0.258619i	$-0.916732\pi$
$211$	−3.76246	+	6.51678i	−0.259019	+	0.448634i	0.706961	+	0.707253i	$0.250066\pi$
$212$	0.636123	+	1.10180i	0.0436891	+	0.0756718i
$213$	0.133029	+	0.0417347i	0.00911497	+	0.00285961i
$214$	2.56747	−	4.44699i	0.175509	−	0.303990i
$215$	−0.710065	+	1.22987i	−0.0484261	+	0.0838764i
$216$	−7.57086	−	9.77938i	−0.515132	−	0.665402i
$217$	−5.91476	+	2.99502i	−0.401520	+	0.203315i
$218$	−0.569377	−	0.986190i	−0.0385631	−	0.0667932i
$219$	4.03374	+	18.0727i	0.272575	+	1.22124i
$220$	10.8950			0.734538
$221$	−3.08427			−0.207471
$222$	1.21358	−	1.11524i	0.0814504	−	0.0748501i
$223$	6.49230	+	11.2450i	0.434757	+	0.753020i	0.997276	−	0.0737638i	$-0.0235011\pi$
$223$	6.49230	+	11.2450i	0.434757	+	0.753020i	−0.562519	+	0.826784i	$0.690168\pi$
$224$	−13.6186	+	6.89599i	−0.909934	+	0.460758i
$225$	8.06319	−	3.78804i	0.537546	−	0.252536i
$226$	−0.201335	+	0.348723i	−0.0133926	+	0.0231967i
$227$	14.4832	−	25.0857i	0.961286	−	1.66500i	0.242009	−	0.970274i	$-0.422194\pi$
$227$	14.4832	−	25.0857i	0.961286	−	1.66500i	0.719277	−	0.694723i	$-0.244473\pi$
$228$	7.94012	−	7.29670i	0.525847	−	0.483235i
$229$	−7.71790	−	13.3678i	−0.510013	−	0.883369i	−0.999933	−	0.0116012i	$-0.996307\pi$
$229$	−7.71790	−	13.3678i	−0.510013	−	0.883369i	0.489919	−	0.871768i	$-0.337026\pi$
$230$	−2.59648	+	4.49723i	−0.171207	+	0.296538i
$231$	−7.93607	+	21.1561i	−0.522155	+	1.39197i
$232$	−8.10561	−	14.0393i	−0.532159	−	0.921727i
$233$	−2.47324	+	4.28378i	−0.162027	+	0.280640i	−0.935596	−	0.353073i	$-0.885137\pi$
$233$	−2.47324	+	4.28378i	−0.162027	+	0.280640i	0.773568	+	0.633713i	$0.218470\pi$
$234$	−5.01378	+	2.35545i	−0.327761	+	0.153980i
$235$	6.75121	+	11.6934i	0.440400	+	0.762795i
$236$	10.2096			0.664589
$237$	−3.04896	−	0.956542i	−0.198051	−	0.0621341i
$238$	−1.66270	−	1.08572i	−0.107777	−	0.0703767i
$239$	6.51732	−	11.2883i	0.421571	−	0.730182i	−0.574523	−	0.818489i	$-0.694812\pi$
$239$	6.51732	−	11.2883i	0.421571	−	0.730182i	0.996093	+	0.0883069i	$0.0281456\pi$
$240$	−0.809586	−	3.62725i	−0.0522586	−	0.234138i
$241$	−7.29123	+	12.6288i	−0.469670	+	0.813492i	−0.999399	−	0.0346754i	$-0.988960\pi$
$241$	−7.29123	+	12.6288i	−0.469670	+	0.813492i	0.529729	+	0.848167i	$0.322294\pi$
$242$	−4.46191	−	7.72826i	−0.286823	−	0.496791i
$243$	0.791301	+	15.5684i	0.0507620	+	0.998711i
$244$	−0.116709			−0.00747154
$245$	−9.91456	−	1.09247i	−0.633418	−	0.0697951i
$246$	0.212671	−	0.195437i	0.0135594	−	0.0124606i
$247$	−5.52993	−	9.57812i	−0.351861	−	0.609441i
$248$	−5.96419			−0.378726
$249$	−5.46019	−	24.4637i	−0.346026	−	1.55032i
$250$	−7.61238			−0.481449
$251$	−14.0715			−0.888187			−0.444094	−	0.895980i	$-0.646474\pi$
$251$	−14.0715			−0.888187			−0.444094	+	0.895980i	$0.646474\pi$
$252$	12.1887	+	1.70870i	0.767819	+	0.107638i
$253$	−26.8067			−1.68532
$254$	4.86646			0.305349
$255$	2.03475	−	1.86986i	0.127421	−	0.117095i
$256$	−9.06240			−0.566400
$257$	4.18108	+	7.24184i	0.260808	+	0.451733i	0.966457	−	0.256829i	$-0.0826776\pi$
$257$	4.18108	+	7.24184i	0.260808	+	0.451733i	−0.705649	+	0.708562i	$0.749344\pi$
$258$	−0.252065	−	1.12935i	−0.0156929	−	0.0703100i
$259$	−0.205989	+	3.75019i	−0.0127996	+	0.233025i
$260$	−6.08653			−0.377471
$261$	−1.72265	+	20.3605i	−0.106629	+	1.26029i
$262$	6.85515	+	11.8735i	0.423512	+	0.733545i
$263$	−1.63533	+	2.83247i	−0.100839	+	0.174658i	−0.912030	−	0.410122i	$-0.865486\pi$
$263$	−1.63533	+	2.83247i	−0.100839	+	0.174658i	0.811192	+	0.584780i	$0.198819\pi$
$264$	−14.9670	+	13.7542i	−0.921157	+	0.846511i
$265$	−0.584551	+	1.01247i	−0.0359087	+	0.0621956i
$266$	0.390542	−	7.11010i	0.0239457	−	0.435948i
$267$	17.2499	−	15.8520i	1.05568	−	0.970129i
$268$	19.5192			1.19232
$269$	−7.69349	−	13.3255i	−0.469081	−	0.812471i	0.530295	−	0.847813i	$-0.322081\pi$
$269$	−7.69349	−	13.3255i	−0.469081	−	0.812471i	−0.999375	+	0.0353420i	$0.988748\pi$
$270$	1.87967	−	4.59357i	0.114393	−	0.279556i
$271$	4.06308	−	7.03747i	0.246815	−	0.427496i	−0.715825	−	0.698279i	$-0.753949\pi$
$271$	4.06308	−	7.03747i	0.246815	−	0.427496i	0.962640	+	0.270783i	$0.0872827\pi$
$272$	0.843026	+	1.46016i	0.0511160	+	0.0885355i
$273$	4.43353	−	11.8190i	0.268330	−	0.715318i
$274$	−4.09293	+	7.08915i	−0.247263	+	0.428271i
$275$	−7.32110	−	12.6805i	−0.441479	−	0.764664i
$276$	3.18077	+	14.2511i	0.191460	+	0.857813i
$277$	−6.42287	+	11.1247i	−0.385913	+	0.668421i	−0.991895	−	0.127057i	$-0.959447\pi$
$277$	−6.42287	+	11.1247i	−0.385913	+	0.668421i	0.605982	+	0.795478i	$0.292780\pi$
$278$	−0.831826	+	1.44077i	−0.0498896	+	0.0864114i
$279$	6.17029	+	4.29423i	0.369406	+	0.257089i
$280$	−7.51319	−	4.90601i	−0.448999	−	0.293190i
$281$	−0.724081	−	1.25415i	−0.0431951	−	0.0748161i	0.843620	−	0.536941i	$-0.180420\pi$
$281$	−0.724081	−	1.25415i	−0.0431951	−	0.0748161i	−0.886815	+	0.462125i	$0.847087\pi$
$282$	−10.4974	−	3.29332i	−0.625111	−	0.196114i
$283$	−17.4385			−1.03661			−0.518306	−	0.855195i	$-0.673437\pi$
$283$	−17.4385			−1.03661			−0.518306	+	0.855195i	$0.673437\pi$
$284$	−0.124820			−0.00740671
$285$	9.45500	+	2.96629i	0.560066	+	0.175708i
$286$	4.55234	+	7.88489i	0.269186	+	0.466243i
$287$	−0.0360979	+	0.657189i	−0.00213079	+	0.0387926i
$288$	14.2070	+	9.88741i	0.837156	+	0.582621i
$289$	7.87316	−	13.6367i	0.463127	−	0.802160i
$290$	3.25292	−	5.63422i	0.191018	−	0.330853i
$291$	2.03864	+	9.13386i	0.119507	+	0.535437i
$292$	−8.28903	−	14.3570i	−0.485079	−	0.840181i
$293$	−0.900048	+	1.55893i	−0.0525814	+	0.0910736i	−0.891118	−	0.453772i	$-0.850078\pi$
$293$	−0.900048	+	1.55893i	−0.0525814	+	0.0910736i	0.838537	+	0.544845i	$0.183412\pi$
$294$	6.55057	−	4.81081i	0.382037	−	0.280572i
$295$	4.69094	+	8.12495i	0.273117	+	0.473053i
$296$	−1.68938	+	2.92609i	−0.0981931	+	0.170075i
$297$	25.3873	−	3.45317i	1.47312	−	0.200373i
$298$	2.86766	+	4.96693i	0.166119	+	0.287727i
$299$	14.9757			0.866068
$300$	−5.87256	+	5.39668i	−0.339053	+	0.311578i
$301$	2.20781	+	1.44167i	0.127256	+	0.0830965i
$302$	5.91878	−	10.2516i	0.340588	−	0.589915i
$303$	6.54931	−	6.01859i	0.376248	−	0.345759i
$304$	−3.02300	+	5.23599i	−0.173381	+	0.300305i
$305$	−0.0536236	−	0.0928787i	−0.00307048	−	0.00531822i
$306$	−0.189830	+	2.24366i	−0.0108518	+	0.128261i
$307$	1.06478			0.0607699			0.0303850	−	0.999538i	$-0.490327\pi$
$307$	1.06478			0.0607699			0.0303850	+	0.999538i	$0.490327\pi$
$308$	1.10947	−	20.1988i	0.0632181	−	1.15093i
$309$	5.36193	+	24.0234i	0.305029	+	1.36665i
$310$	−1.19676	−	2.07286i	−0.0679717	−	0.117730i
$311$	−16.9293			−0.959970			−0.479985	−	0.877277i	$-0.659358\pi$
$311$	−16.9293			−0.959970			−0.479985	+	0.877277i	$0.659358\pi$
$312$	8.36141	−	7.68385i	0.473372	−	0.435012i
$313$	−8.27856			−0.467932			−0.233966	−	0.972245i	$-0.575170\pi$
$313$	−8.27856			−0.467932			−0.233966	+	0.972245i	$0.575170\pi$
$314$	4.23750			0.239136
$315$	4.24048	+	10.4851i	0.238924	+	0.590766i
$316$	2.86082			0.160934
$317$	6.54741			0.367739			0.183870	−	0.982951i	$-0.441138\pi$
$317$	6.54741			0.367739			0.183870	+	0.982951i	$0.441138\pi$
$318$	−0.207509	−	0.929717i	−0.0116365	−	0.0521359i
$319$	33.5840			1.88034
$320$	−0.609811	−	1.05622i	−0.0340895	−	0.0590447i
$321$	9.76938	−	8.97773i	0.545274	−	0.501088i
$322$	8.07325	+	5.27172i	0.449905	+	0.293781i
$323$	−4.49556			−0.250140
$324$	−4.84814	−	13.0867i	−0.269341	−	0.727040i
$325$	4.08997	+	7.08404i	0.226871	+	0.392952i
$326$	−2.68893	+	4.65736i	−0.148926	+	0.257947i
$327$	−0.640957	−	2.87173i	−0.0354450	−	0.158807i
$328$	−0.296049	+	0.512773i	−0.0163466	+	0.0283131i
$329$	22.3666	−	11.3256i	1.23311	−	0.624403i
$330$	−7.78353	−	2.44191i	−0.428469	−	0.134422i
$331$	−26.7258			−1.46899			−0.734493	−	0.678617i	$-0.762580\pi$
$331$	−26.7258			−1.46899			−0.734493	+	0.678617i	$0.762580\pi$
$332$	11.2203	+	19.4341i	0.615792	+	1.06658i
$333$	3.85455	−	1.81085i	0.211228	−	0.0992337i
$334$	0.710806	−	1.23115i	0.0388936	−	0.0673657i
$335$	8.96834	+	15.5336i	0.489993	+	0.848692i
$336$	−6.80720	+	1.13156i	−0.371363	+	0.0617316i
$337$	−4.76164	+	8.24740i	−0.259383	+	0.449264i	−0.966077	−	0.258255i	$-0.916853\pi$
$337$	−4.76164	+	8.24740i	−0.259383	+	0.449264i	0.706694	+	0.707520i	$0.250186\pi$
$338$	1.81397	+	3.14189i	0.0986670	+	0.170896i
$339$	−0.766092	+	0.704012i	−0.0416084	+	0.0382367i
$340$	−1.23701	+	2.14257i	−0.0670864	+	0.116197i
$341$	6.17786	−	10.7004i	0.334550	−	0.579457i
$342$	−7.30796	+	3.43324i	−0.395169	+	0.185648i
$343$	−3.03502	+	18.2699i	−0.163876	+	0.986481i
$344$	1.18605	+	2.05429i	0.0639473	+	0.110760i
$345$	−9.87974	+	9.07914i	−0.531907	+	0.488805i
$346$	−12.2591			−0.659053
$347$	−18.7031			−1.00404			−0.502018	−	0.864857i	$-0.667409\pi$
$347$	−18.7031			−1.00404			−0.502018	+	0.864857i	$0.667409\pi$
$348$	−3.98494	−	17.8540i	−0.213615	−	0.957076i
$349$	−15.0542	−	26.0747i	−0.805834	−	1.39574i	−0.915727	−	0.401801i	$-0.868384\pi$
$349$	−15.0542	−	26.0747i	−0.805834	−	1.39574i	0.109893	−	0.993943i	$-0.464949\pi$
$350$	−0.288848	+	5.25868i	−0.0154396	+	0.281088i
$351$	−14.1827	+	1.92913i	−0.757019	+	0.102970i
$352$	14.2244	−	24.6374i	0.758164	−	1.31318i
$353$	−3.12966	+	5.42074i	−0.166575	+	0.288517i	−0.937214	−	0.348756i	$-0.886604\pi$
$353$	−3.12966	+	5.42074i	−0.166575	+	0.288517i	0.770638	+	0.637273i	$0.219938\pi$
$354$	−7.29391	−	2.28830i	−0.387667	−	0.121622i
$355$	−0.0573502	−	0.0993335i	−0.00304383	−	0.00527208i
$356$	−10.4870	+	18.1639i	−0.555807	+	0.962686i
$357$	−3.25944	−	3.96275i	−0.172508	−	0.209731i
$358$	2.55582	+	4.42680i	0.135079	+	0.233964i
$359$	−5.09755	+	8.82921i	−0.269038	+	0.465988i	−0.968614	−	0.248571i	$-0.920039\pi$
$359$	−5.09755	+	8.82921i	−0.269038	+	0.465988i	0.699575	+	0.714559i	$0.253372\pi$
$360$	−0.857777	+	10.1383i	−0.0452088	+	0.534338i
$361$	1.43970	+	2.49364i	0.0757739	+	0.131244i
$362$	10.4106			0.547171
$363$	−5.02285	−	22.5042i	−0.263631	−	1.18117i
$364$	−0.619814	+	11.2842i	−0.0324871	+	0.591450i
$365$	7.61701	−	13.1931i	0.398693	−	0.690556i
$366$	0.0833788	+	0.0261582i	0.00435828	+	0.00136731i
$367$	14.3278	−	24.8165i	0.747906	−	1.29541i	−0.200918	−	0.979608i	$-0.564392\pi$
$367$	14.3278	−	24.8165i	0.747906	−	1.29541i	0.948824	−	0.315804i	$-0.102274\pi$
$368$	−4.09332	−	7.08984i	−0.213379	−	0.369584i
$369$	0.675478	−	0.317336i	0.0351640	−	0.0165198i
$370$	−1.35595			−0.0704926
$371$	1.81755	+	1.18683i	0.0943624	+	0.0616173i
$372$	−6.42160	−	2.01463i	−0.332944	−	0.104454i
$373$	8.03670	+	13.9200i	0.416124	+	0.720749i	0.995546	−	0.0942796i	$-0.0300548\pi$
$373$	8.03670	+	13.9200i	0.416124	+	0.720749i	−0.579421	+	0.815028i	$0.696721\pi$
$374$	3.70083			0.191365
$375$	−18.7674	−	5.88786i	−0.969147	−	0.304048i
$376$	22.5535			1.16311
$377$	−18.7619			−0.966286
$378$	−8.32486	−	3.95261i	−0.428185	−	0.203300i
$379$	−1.01893			−0.0523388			−0.0261694	−	0.999658i	$-0.508331\pi$
$379$	−1.01893			−0.0523388			−0.0261694	+	0.999658i	$0.508331\pi$
$380$	−8.87158			−0.455103
$381$	11.9977	+	3.76401i	0.614661	+	0.192836i
$382$	9.94270			0.508713
$383$	5.79327	+	10.0342i	0.296022	+	0.512725i	0.975222	−	0.221228i	$-0.0710065\pi$
$383$	5.79327	+	10.0342i	0.296022	+	0.512725i	−0.679200	+	0.733953i	$0.737673\pi$
$384$	−18.1220	−	5.68536i	−0.924784	−	0.290130i
$385$	16.5842	−	8.39766i	0.845210	−	0.427984i
$386$	11.1059			0.565275
$387$	0.252065	−	2.97924i	0.0128132	−	0.151443i
$388$	−4.18924	−	7.25598i	−0.212677	−	0.368367i
$389$	−8.90675	+	15.4270i	−0.451590	+	0.782178i	−0.998485	−	0.0550239i	$-0.982476\pi$
$389$	−8.90675	+	15.4270i	−0.451590	+	0.782178i	0.546895	+	0.837201i	$0.315810\pi$
$390$	4.34831	+	1.36418i	0.220185	+	0.0690782i
$391$	3.04363	−	5.27172i	0.153923	−	0.266602i
$392$	−9.86061	+	13.4295i	−0.498036	+	0.678293i
$393$	7.71695	+	34.5749i	0.389269	+	1.74407i
$394$	−2.70640			−0.136346
$395$	1.31444	+	2.27668i	0.0661369	+	0.114552i
$396$	−20.7609	+	9.75334i	−1.04327	+	0.490124i
$397$	−6.54229	+	11.3316i	−0.328348	+	0.568715i	−0.982184	−	0.187921i	$-0.939825\pi$
$397$	−6.54229	+	11.3316i	−0.328348	+	0.568715i	0.653836	+	0.756636i	$0.273159\pi$
$398$	−8.47348	−	14.6765i	−0.424737	−	0.735666i
$399$	6.46221	−	17.2271i	0.323515	−	0.862433i
$400$	2.23583	−	3.87257i	0.111792	−	0.193629i
$401$	−7.05165	−	12.2138i	−0.352143	−	0.609929i	0.634482	−	0.772938i	$-0.281213\pi$
$401$	−7.05165	−	12.2138i	−0.352143	−	0.609929i	−0.986625	+	0.163009i	$0.947880\pi$
$402$	−13.9448	−	4.37486i	−0.695503	−	0.218198i
$403$	−3.45129	+	5.97782i	−0.171921	+	0.297776i
$404$	−3.98161	+	6.89636i	−0.198093	+	0.343107i
$405$	8.18706	−	9.87108i	0.406818	−	0.490498i
$406$	−10.1143	−	6.60452i	−0.501966	−	0.327777i
$407$	−3.49980	−	6.06183i	−0.173479	−	0.300474i
$408$	−1.00550	−	4.50501i	−0.0497796	−	0.223031i
$409$	−2.64599			−0.130836			−0.0654179	−	0.997858i	$-0.520838\pi$
$409$	−2.64599			−0.130836			−0.0654179	+	0.997858i	$0.520838\pi$
$410$	−0.237619			−0.0117352
$411$	−15.5738	+	14.3118i	−0.768200	+	0.705949i
$412$	−11.0183	−	19.0843i	−0.542835	−	0.940217i
$413$	15.5410	−	7.86940i	0.764722	−	0.387228i
$414$	0.921719	−	10.8941i	0.0453000	−	0.535415i
$415$	−10.3106	+	17.8585i	−0.506128	+	0.876639i
$416$	−7.94655	+	13.7638i	−0.389612	+	0.674827i
$417$	−3.16515	+	2.90866i	−0.154998	+	0.142438i
$418$	6.63538	+	11.4928i	0.324547	+	0.562132i
$419$	16.7567	−	29.0235i	0.818619	−	1.41789i	−0.0880816	−	0.996113i	$-0.528074\pi$
$419$	16.7567	−	29.0235i	0.818619	−	1.41789i	0.906700	−	0.421776i	$-0.138593\pi$
$420$	−6.43220	−	7.82012i	−0.313859	−	0.381583i
$421$	−2.41950	−	4.19071i	−0.117919	−	0.204242i	0.801024	−	0.598633i	$-0.204289\pi$
$421$	−2.41950	−	4.19071i	−0.117919	−	0.204242i	−0.918943	+	0.394390i	$0.870956\pi$
$422$	−2.52210	+	4.36841i	−0.122774	+	0.212651i
$423$	−23.3329	−	16.2386i	−1.13448	−	0.789548i
$424$	0.976394	+	1.69116i	0.0474179	+	0.0821302i
$425$	3.32495			0.161284
$426$	0.0891734	+	0.0279761i	0.00432047	+	0.00135545i
$427$	−0.177654	+	0.0899575i	−0.00859726	+	0.00435335i
$428$	−5.93923	+	10.2871i	−0.287084	+	0.497244i
$429$	5.12465	+	22.9603i	0.247420	+	1.10854i
$430$	−0.475980	+	0.824422i	−0.0229538	+	0.0397571i
$431$	17.6643	+	30.5954i	0.850858	+	1.47373i	0.880435	+	0.474166i	$0.157251\pi$
$431$	17.6643	+	30.5954i	0.850858	+	1.47373i	−0.0295774	+	0.999562i	$0.509416\pi$
$432$	4.78988	+	6.18714i	0.230453	+	0.297679i
$433$	5.47404			0.263066			0.131533	−	0.991312i	$-0.458010\pi$
$433$	5.47404			0.263066			0.131533	+	0.991312i	$0.458010\pi$
$434$	−3.96485	+	2.00766i	−0.190319	+	0.0963708i
$435$	12.3775	−	11.3745i	0.593458	−	0.545367i
$436$	1.31712	+	2.28131i	0.0630785	+	0.109255i
$437$	21.8282			1.04419
$438$	2.70395	+	12.1147i	0.129200	+	0.578864i
$439$	6.39812			0.305365			0.152683	−	0.988275i	$-0.451209\pi$
$439$	6.39812			0.305365			0.152683	+	0.988275i	$0.451209\pi$
$440$	16.7228			0.797229
$441$	19.8706	−	6.79392i	0.946221	−	0.323520i
$442$	−2.06749			−0.0983404
$443$	−6.38682			−0.303447			−0.151723	−	0.988423i	$-0.548482\pi$
$443$	−6.38682			−0.303447			−0.151723	+	0.988423i	$0.548482\pi$
$444$	−2.80734	+	2.57985i	−0.133230	+	0.122434i
$445$	−19.2735			−0.913650
$446$	4.35200	+	7.53789i	0.206073	+	0.356929i
$447$	3.22817	+	14.4634i	0.152687	+	0.684097i
$448$	−2.02029	+	1.02300i	−0.0954497	+	0.0483323i
$449$	−11.7460			−0.554327			−0.277163	−	0.960823i	$-0.589394\pi$
$449$	−11.7460			−0.554327			−0.277163	+	0.960823i	$0.589394\pi$
$450$	5.40502	−	2.53925i	0.254795	−	0.119701i
$451$	−0.613311	−	1.06229i	−0.0288797	−	0.0500210i
$452$	0.465741	−	0.806687i	0.0219066	−	0.0379434i
$453$	22.5213	−	20.6963i	1.05814	−	0.972397i
$454$	9.70859	−	16.8158i	0.455647	−	0.789203i
$455$	−9.26487	+	4.69140i	−0.434344	+	0.219936i
$456$	12.1874	−	11.1998i	0.570727	−	0.524478i
$457$	10.5224			0.492217			0.246108	−	0.969242i	$-0.420848\pi$
$457$	10.5224			0.492217			0.246108	+	0.969242i	$0.420848\pi$
$458$	−5.17356	−	8.96087i	−0.241745	−	0.418714i
$459$	−2.20338	+	5.38465i	−0.102845	+	0.251334i
$460$	6.00633	−	10.4033i	0.280046	−	0.485055i
$461$	−3.54278	−	6.13627i	−0.165004	−	0.285794i	0.771653	−	0.636044i	$-0.219430\pi$
$461$	−3.54278	−	6.13627i	−0.165004	−	0.285794i	−0.936657	+	0.350249i	$0.886097\pi$
$462$	−5.31981	+	14.1816i	−0.247500	+	0.659790i
$463$	16.3760	−	28.3641i	0.761059	−	1.31819i	−0.181246	−	0.983438i	$-0.558013\pi$
$463$	16.3760	−	28.3641i	0.761059	−	1.31819i	0.942305	−	0.334755i	$-0.108654\pi$
$464$	5.12820	+	8.88230i	0.238071	+	0.412350i
$465$	−1.34722	−	6.03604i	−0.0624758	−	0.279915i
$466$	−1.65789	+	2.87156i	−0.0768004	+	0.133022i
$467$	1.96216	−	3.39856i	0.0907978	−	0.157266i	−0.817049	−	0.576568i	$-0.804392\pi$
$467$	1.96216	−	3.39856i	0.0907978	−	0.157266i	0.907847	+	0.419301i	$0.137725\pi$
$468$	11.5982	−	5.44876i	0.536126	−	0.251869i
$469$	29.7119	−	15.0450i	1.37197	−	0.694716i
$470$	4.52555	+	7.83849i	0.208748	+	0.361563i
$471$	10.4471	+	3.27753i	0.481376	+	0.151021i
$472$	15.6709			0.721310
$473$	−4.91414			−0.225952
$474$	−2.04382	−	0.641201i	−0.0938757	−	0.0294513i
$475$	5.96145	+	10.3255i	0.273530	+	0.473768i
$476$	3.84626	+	2.51155i	0.176293	+	0.115117i
$477$	0.207509	−	2.45261i	0.00950117	−	0.112297i
$478$	4.36878	−	7.56694i	0.199823	−	0.346104i
$479$	−8.04324	+	13.9313i	−0.367505	+	0.636537i	−0.989175	−	0.146742i	$-0.953121\pi$
$479$	−8.04324	+	13.9313i	−0.367505	+	0.636537i	0.621670	+	0.783279i	$0.286455\pi$
$480$	−3.10195	−	13.8979i	−0.141584	−	0.634350i
$481$	1.95518	+	3.38647i	0.0891486	+	0.154410i
$482$	−4.88755	+	8.46549i	−0.222622	+	0.385592i
$483$	15.8262	+	19.2412i	0.720118	+	0.875503i
$484$	10.3216	+	17.8775i	0.469162	+	0.812612i
$485$	3.84961	−	6.66771i	0.174802	−	0.302765i
$486$	0.530435	+	10.4360i	0.0240610	+	0.473386i
$487$	−1.75172	−	3.03407i	−0.0793781	−	0.137487i	0.823604	−	0.567166i	$-0.191960\pi$
$487$	−1.75172	−	3.03407i	−0.0793781	−	0.137487i	−0.902982	+	0.429679i	$0.858627\pi$
$488$	−0.179138			−0.00810921
$489$	−10.2315	+	9.40242i	−0.462686	+	0.425192i
$490$	−6.64605	−	0.732315i	−0.300238	−	0.0330826i
$491$	−20.5546	+	35.6017i	−0.927618	+	1.60668i	−0.140321	+	0.990106i	$0.544814\pi$
$491$	−20.5546	+	35.6017i	−0.927618	+	1.60668i	−0.787296	+	0.616575i	$0.788520\pi$
$492$	−0.491962	+	0.452096i	−0.0221794	+	0.0203821i
$493$	−3.81312	+	6.60452i	−0.171734	+	0.297452i
$494$	−3.70689	−	6.42053i	−0.166781	−	0.288873i
$495$	−17.3007	−	12.0405i	−0.777609	−	0.541180i
$496$	3.77338			0.169430
$497$	−0.190000	+	0.0962092i	−0.00852267	+	0.00431557i
$498$	−3.66015	−	16.3988i	−0.164015	−	0.734849i
$499$	−5.91486	−	10.2448i	−0.264785	−	0.458622i	0.702722	−	0.711465i	$-0.251968\pi$
$499$	−5.91486	−	10.2448i	−0.264785	−	0.458622i	−0.967507	+	0.252843i	$0.918634\pi$
$500$	17.6094			0.787517
$501$	2.70466	−	2.48549i	0.120835	−	0.111043i
$502$	−9.43261			−0.420998
$503$	21.8595			0.974665			0.487332	−	0.873217i	$-0.337970\pi$
$503$	21.8595			0.974665			0.487332	+	0.873217i	$0.337970\pi$
$504$	18.7087	+	2.62270i	0.833351	+	0.116825i
$505$	−7.31762			−0.325630
$506$	−17.9694			−0.798837
$507$	2.04202	+	9.14901i	0.0906892	+	0.406322i
$508$	−11.2574			−0.499466
$509$	−8.44831	−	14.6329i	−0.374465	−	0.648592i	0.615782	−	0.787917i	$-0.288840\pi$
$509$	−8.44831	−	14.6329i	−0.374465	−	0.648592i	−0.990247	+	0.139324i	$0.955507\pi$
$510$	1.36396	−	1.25343i	0.0603971	−	0.0555029i
$511$	−23.6836	−	15.4651i	−1.04770	−	0.684135i
$512$	15.8563			0.700756
$513$	−20.6724	+	2.81186i	−0.912710	+	0.124147i
$514$	2.80271	+	4.85444i	0.123622	+	0.214120i
$515$	10.1250	−	17.5371i	0.446163	−	0.772777i
$516$	0.583092	+	2.61247i	0.0256692	+	0.115008i
$517$	−23.3615	+	40.4633i	−1.02744	+	1.77957i
$518$	−0.138081	+	2.51387i	−0.00606695	+	0.110453i
$519$	−30.2234	−	9.48190i	−1.32666	−	0.416209i
$520$	−9.34230			−0.409687
$521$	−17.2466	−	29.8720i	−0.755587	−	1.30872i	−0.945082	−	0.326834i	$-0.894018\pi$
$521$	−17.2466	−	29.8720i	−0.755587	−	1.30872i	0.189495	−	0.981882i	$-0.439315\pi$
$522$	−1.15475	+	13.6483i	−0.0505420	+	0.597371i
$523$	0.995615	−	1.72445i	0.0435352	−	0.0754051i	−0.843437	−	0.537229i	$-0.819471\pi$
$523$	0.995615	−	1.72445i	0.0435352	−	0.0754051i	0.886972	+	0.461823i	$0.152805\pi$
$524$	−15.8577	−	27.4664i	−0.692749	−	1.19988i
$525$	−4.77949	+	12.7413i	−0.208594	+	0.556074i
$526$	−1.09622	+	1.89870i	−0.0477972	+	0.0827873i
$527$	1.40287	+	2.42983i	0.0611098	+	0.105845i
$528$	9.46922	−	8.70189i	0.412095	−	0.378701i
$529$	−3.27836	+	5.67829i	−0.142538	+	0.246882i
$530$	−0.391843	+	0.678693i	−0.0170206	+	0.0294805i
$531$	−16.2124	−	11.2831i	−0.703558	−	0.489644i
$532$	−0.903426	+	16.4475i	−0.0391685	+	0.713090i
$533$	0.342629	+	0.593452i	0.0148409	+	0.0257052i
$534$	11.5632	−	10.6261i	0.500387	−	0.459838i
$535$	−10.9154			−0.471916
$536$	29.9602			1.29408
$537$	2.87712	+	12.8906i	0.124157	+	0.556270i
$538$	−5.15720	−	8.93253i	−0.222343	−	0.385109i
$539$	−13.8800	−	31.6016i	−0.597856	−	1.36118i
$540$	−4.34817	+	10.6261i	−0.187115	+	0.457276i
$541$	−15.0681	+	26.0988i	−0.647830	+	1.12207i	0.335810	+	0.941930i	$0.390990\pi$
$541$	−15.0681	+	26.0988i	−0.647830	+	1.12207i	−0.983640	+	0.180145i	$0.942343\pi$
$542$	2.72362	−	4.71745i	0.116989	−	0.202632i
$543$	25.6662	+	8.05220i	1.10144	+	0.345553i
$544$	3.23008	+	5.59466i	0.138488	+	0.239869i
$545$	−1.21033	+	2.09636i	−0.0518450	+	0.0897982i
$546$	2.97194	−	7.92266i	0.127187	−	0.339058i
$547$	7.68070	+	13.3034i	0.328403	+	0.568810i	0.982195	−	0.187864i	$-0.0601563\pi$
$547$	7.68070	+	13.3034i	0.328403	+	0.568810i	−0.653792	+	0.756674i	$0.726823\pi$
$548$	9.46800	−	16.3991i	0.404453	−	0.700533i
$549$	0.185329	+	0.128980i	0.00790964	+	0.00550474i
$550$	−4.90757	−	8.50016i	−0.209260	−	0.362448i
$551$	−27.3469			−1.16502
$552$	4.88221	+	21.8741i	0.207801	+	0.931025i
$553$	4.35472	−	2.20508i	0.185182	−	0.0937694i
$554$	−4.30546	+	7.45728i	−0.182921	+	0.316829i
$555$	−3.34294	−	1.04877i	−0.141900	−	0.0445179i
$556$	1.92423	−	3.33287i	0.0816056	−	0.141345i
$557$	−11.6412	−	20.1631i	−0.493252	−	0.854338i	0.506718	−	0.862112i	$-0.330859\pi$
$557$	−11.6412	−	20.1631i	−0.493252	−	0.854338i	−0.999970	+	0.00777438i	$0.997525\pi$
$558$	4.13615	+	2.87857i	0.175097	+	0.121859i
$559$	2.74531			0.116114
$560$	4.75339	+	3.10390i	0.200867	+	0.131164i
$561$	9.12397	+	2.86244i	0.385214	+	0.120852i
$562$	−0.485375	−	0.840695i	−0.0204743	−	0.0354626i
$563$	4.55885			0.192133			0.0960663	−	0.995375i	$-0.469374\pi$
$563$	4.55885			0.192133			0.0960663	+	0.995375i	$0.469374\pi$
$564$	24.2832	+	7.61830i	1.02251	+	0.320788i
$565$	0.855964			0.0360107
$566$	−11.6896			−0.491351
$567$	−17.4668	−	16.1836i	−0.733538	−	0.679649i
$568$	−0.191588			−0.00803885
$569$	18.1995			0.762963			0.381482	−	0.924376i	$-0.375414\pi$
$569$	18.1995			0.762963			0.381482	+	0.924376i	$0.375414\pi$
$570$	6.33800	+	1.98840i	0.265470	+	0.0832850i
$571$	−17.0455			−0.713332			−0.356666	−	0.934232i	$-0.616087\pi$
$571$	−17.0455			−0.713332			−0.356666	+	0.934232i	$0.616087\pi$
$572$	−10.5307	−	18.2398i	−0.440313	−	0.762644i
$573$	24.5126	+	7.69027i	1.02403	+	0.321266i
$574$	−0.0241976	+	0.440535i	−0.00100999	+	0.0183876i
$575$	−16.1443			−0.673264
$576$	2.10757	+	1.46677i	0.0878155	+	0.0611155i
$577$	−5.70473	−	9.88088i	−0.237491	−	0.411346i	0.722503	−	0.691368i	$-0.242992\pi$
$577$	−5.70473	−	9.88088i	−0.237491	−	0.411346i	−0.959994	+	0.280022i	$0.909658\pi$
$578$	5.27764	−	9.14113i	0.219521	−	0.380221i
$579$	27.3803	+	8.58995i	1.13789	+	0.356986i
$580$	−7.52485	+	13.0334i	−0.312452	+	0.541183i
$581$	32.0589	+	20.9340i	1.33003	+	0.868488i
$582$	1.36657	+	6.12273i	0.0566460	+	0.253795i
$583$	−4.04549			−0.167547
$584$	−12.7229	−	22.0368i	−0.526479	−	0.911889i
$585$	9.66514	+	6.72649i	0.399604	+	0.278106i
$586$	−0.603332	+	1.04500i	−0.0249234	+	0.0431686i
$587$	2.52544	+	4.37420i	0.104236	+	0.180543i	0.913426	−	0.407005i	$-0.133427\pi$
$587$	2.52544	+	4.37420i	0.104236	+	0.180543i	−0.809190	+	0.587548i	$0.800094\pi$
$588$	−15.1532	+	11.1287i	−0.624906	+	0.458938i
$589$	−5.03052	+	8.71312i	−0.207279	+	0.359018i
$590$	3.14449	+	5.44642i	0.129457	+	0.224226i
$591$	−6.67232	−	2.09329i	−0.274463	−	0.0861064i
$592$	1.06882	−	1.85126i	0.0439283	−	0.0760861i
$593$	−9.98892	+	17.3013i	−0.410196	+	0.710480i	−0.994911	−	0.100759i	$-0.967873\pi$
$593$	−9.98892	+	17.3013i	−0.410196	+	0.710480i	0.584715	+	0.811239i	$0.301206\pi$
$594$	17.0179	−	2.31477i	0.698254	−	0.0949763i
$595$	−0.231513	+	4.21487i	−0.00949113	+	0.172793i
$596$	−6.63365	−	11.4898i	−0.271725	−	0.470641i
$597$	−9.53873	−	42.7371i	−0.390394	−	1.74911i
$598$	10.0387			0.410513
$599$	4.39321			0.179502			0.0897508	−	0.995964i	$-0.471393\pi$
$599$	4.39321			0.179502			0.0897508	+	0.995964i	$0.471393\pi$
$600$	−9.01387	+	8.28344i	−0.367990	+	0.338170i
$601$	12.1778	+	21.0926i	0.496743	+	0.860385i	0.999993	−	0.00375637i	$-0.00119569\pi$
$601$	12.1778	+	21.0926i	0.496743	+	0.860385i	−0.503250	+	0.864141i	$0.667862\pi$
$602$	1.47997	+	0.966399i	0.0603191	+	0.0393875i
$603$	−30.9955	−	21.5715i	−1.26224	−	0.878457i
$604$	−13.6917	+	23.7147i	−0.557107	+	0.964937i
$605$	−9.48476	+	16.4281i	−0.385610	+	0.667897i
$606$	4.39022	−	4.03446i	0.178340	−	0.163889i
$607$	−6.56281	−	11.3671i	−0.266376	−	0.461377i	0.701547	−	0.712623i	$-0.252493\pi$
$607$	−6.56281	−	11.3671i	−0.266376	−	0.461377i	−0.967923	+	0.251246i	$0.919160\pi$
$608$	−11.5827	+	20.0618i	−0.469741	+	0.813615i
$609$	−19.8274	−	24.1057i	−0.803447	−	0.976812i
$610$	−0.0359456	−	0.0622597i	−0.00145540	−	0.00252082i
$611$	13.0510	−	22.6051i	0.527988	−	0.914502i
$612$	0.439125	−	5.19016i	0.0177506	−	0.209800i
$613$	−23.2403	−	40.2534i	−0.938667	−	1.62582i	−0.767960	−	0.640497i	$-0.778728\pi$
$613$	−23.2403	−	40.2534i	−0.938667	−	1.62582i	−0.170707	−	0.985322i	$-0.554605\pi$
$614$	0.713754			0.0288048
$615$	−0.585823	−	0.183789i	−0.0236227	−	0.00741108i
$616$	1.70295	−	31.0034i	0.0686137	−	1.24916i
$617$	14.1948	−	24.5862i	0.571463	−	0.989803i	−0.424953	−	0.905215i	$-0.639709\pi$
$617$	14.1948	−	24.5862i	0.571463	−	0.989803i	0.996416	−	0.0845873i	$-0.0269572\pi$
$618$	3.59427	+	16.1037i	0.144583	+	0.647786i
$619$	−15.9606	+	27.6446i	−0.641511	+	1.11113i	0.343585	+	0.939122i	$0.388359\pi$
$619$	−15.9606	+	27.6446i	−0.641511	+	1.11113i	−0.985096	+	0.172008i	$0.944975\pi$
$620$	2.76843	+	4.79506i	0.111183	+	0.192574i
$621$	10.6985	−	26.1452i	0.429317	−	1.04917i
$622$	−11.3482			−0.455023
$623$	−1.96269	+	35.7322i	−0.0786335	+	1.43158i
$624$	−5.29004	+	4.86136i	−0.211771	+	0.194610i
$625$	0.666993	+	1.15527i	0.0266797	+	0.0462106i
$626$	−5.54939			−0.221798
$627$	7.46956	+	33.4664i	0.298306	+	1.33652i
$628$	−9.80244			−0.391160
$629$	1.58947			0.0633762
$630$	2.84253	+	7.02848i	0.113249	+	0.280021i
$631$	38.7184			1.54135			0.770677	−	0.637226i	$-0.219918\pi$
$631$	38.7184			1.54135			0.770677	+	0.637226i	$0.219918\pi$
$632$	4.39112			0.174669
$633$	−9.59675	+	8.81908i	−0.381436	+	0.350527i
$634$	4.38895			0.174307
$635$	−5.17236	−	8.95878i	−0.205259	−	0.355519i
$636$	0.480022	+	2.15068i	0.0190341	+	0.0852799i
$637$	7.75417	+	17.6544i	0.307231	+	0.699492i
$638$	22.5124			0.891276
$639$	0.198209	+	0.137944i	0.00784101	+	0.00545698i
$640$	7.81261	+	13.5318i	0.308821	+	0.534893i
$641$	20.2001	−	34.9875i	0.797854	−	1.38192i	−0.123157	−	0.992387i	$-0.539302\pi$
$641$	20.2001	−	34.9875i	0.797854	−	1.38192i	0.921011	−	0.389537i	$-0.127365\pi$
$642$	6.54874	−	6.01806i	0.258458	−	0.237514i
$643$	6.27355	−	10.8661i	0.247405	−	0.428517i	−0.715400	−	0.698715i	$-0.753756\pi$
$643$	6.27355	−	10.8661i	0.247405	−	0.428517i	0.962805	+	0.270198i	$0.0870890\pi$
$644$	−18.6755	−	12.1949i	−0.735919	−	0.480545i
$645$	−1.81113	+	1.66437i	−0.0713132	+	0.0655344i
$646$	−3.01352			−0.118565
$647$	17.2774	+	29.9253i	0.679245	+	1.17649i	0.975209	+	0.221287i	$0.0710258\pi$
$647$	17.2774	+	29.9253i	0.679245	+	1.17649i	−0.295964	+	0.955199i	$0.595641\pi$
$648$	−7.44147	−	20.0870i	−0.292328	−	0.789091i
$649$	−16.2323	+	28.1151i	−0.637173	+	1.10362i
$650$	2.74164	+	4.74866i	0.107536	+	0.186258i
$651$	−11.3277	+	1.88301i	−0.443969	+	0.0738009i
$652$	6.22019	−	10.7737i	0.243602	−	0.421930i
$653$	11.1472	+	19.3075i	0.436223	+	0.755560i	0.997395	−	0.0721392i	$-0.0229826\pi$
$653$	11.1472	+	19.3075i	0.436223	+	0.755560i	−0.561172	+	0.827699i	$0.689649\pi$
$654$	−0.429654	−	1.92501i	−0.0168008	−	0.0752740i
$655$	14.5721	−	25.2396i	0.569379	−	0.986194i
$656$	0.187302	−	0.324417i	0.00731293	−	0.0126664i
$657$	−2.70395	+	31.9589i	−0.105491	+	1.24683i
$658$	14.9931	−	7.59195i	0.584490	−	0.295965i
$659$	3.57493	+	6.19196i	0.139259	+	0.241204i	0.927217	−	0.374526i	$-0.122194\pi$
$659$	3.57493	+	6.19196i	0.139259	+	0.241204i	−0.787957	+	0.615730i	$0.788861\pi$
$660$	18.0053	+	5.64876i	0.700857	+	0.219878i
$661$	42.9060			1.66885			0.834425	−	0.551122i	$-0.185800\pi$
$661$	42.9060			1.66885			0.834425	+	0.551122i	$0.185800\pi$
$662$	−17.9152			−0.696294
$663$	−5.09716	−	1.59912i	−0.197957	−	0.0621046i
$664$	17.2221	+	29.8296i	0.668349	+	1.15761i
$665$	−13.5043	+	6.83807i	−0.523672	+	0.265169i
$666$	2.58383	−	1.21387i	0.100121	−	0.0470365i
$667$	18.5146	−	32.0683i	0.716889	−	1.24169i
$668$	−1.64428	+	2.84798i	−0.0636191	+	0.110192i
$669$	4.89912	+	21.9499i	0.189411	+	0.848632i
$670$	6.01177	+	10.4127i	0.232255	+	0.402277i
$671$	0.185556	−	0.321392i	0.00716331	−	0.0124072i
$672$	−26.0820	+	4.33560i	−1.00613	+	0.167249i
$673$	−18.8270	−	32.6094i	−0.725729	−	1.25700i	−0.958673	−	0.284510i	$-0.908169\pi$
$673$	−18.8270	−	32.6094i	−0.725729	−	1.25700i	0.232944	−	0.972490i	$-0.425164\pi$
$674$	−3.19188	+	5.52850i	−0.122947	+	0.212950i
$675$	15.2895	−	2.07967i	0.588492	−	0.0800465i
$676$	−4.19619	−	7.26801i	−0.161392	−	0.279539i
$677$	−26.3616			−1.01316			−0.506580	−	0.862193i	$-0.669090\pi$
$677$	−26.3616			−1.01316			−0.506580	+	0.862193i	$0.669090\pi$
$678$	−0.513537	+	0.471923i	−0.0197223	+	0.0181241i
$679$	−11.9696	−	7.81599i	−0.459352	−	0.299950i
$680$	−1.89871	+	3.28866i	−0.0728121	+	0.126114i
$681$	36.9417	−	33.9482i	1.41561	−	1.30090i
$682$	4.14122	−	7.17280i	0.158575	−	0.274661i
$683$	1.96588	+	3.40500i	0.0752222	+	0.130289i	0.901183	−	0.433439i	$-0.142700\pi$
$683$	1.96588	+	3.40500i	0.0752222	+	0.130289i	−0.825961	+	0.563728i	$0.809367\pi$
$684$	16.9052	−	7.94198i	0.646387	−	0.303669i
$685$	17.4008			0.664850
$686$	−2.03447	+	12.2469i	−0.0776765	+	0.467589i
$687$	−5.82396	−	26.0936i	−0.222198	−	0.995531i
$688$	−0.750378	−	1.29969i	−0.0286079	−	0.0495503i
$689$	2.26004			0.0861006
$690$	−6.62271	+	6.08604i	−0.252122	+	0.231692i
$691$	19.9010			0.757072			0.378536	−	0.925587i	$-0.376428\pi$
$691$	19.9010			0.757072			0.378536	+	0.925587i	$0.376428\pi$
$692$	28.3585			1.07803
$693$	−24.0843	+	30.8486i	−0.914887	+	1.17184i
$694$	−12.5373			−0.475910
$695$	3.53645			0.134145
$696$	−6.11653	−	27.4044i	−0.231847	−	1.03876i
$697$	0.278541			0.0105505
$698$	−10.0913	−	17.4787i	−0.381963	−	0.661579i
$699$	−6.30838	+	5.79718i	−0.238605	+	0.219270i
$700$	0.668180	−	12.1647i	0.0252548	−	0.459782i
$701$	43.7908			1.65396			0.826979	−	0.562234i	$-0.190058\pi$
$701$	43.7908			1.65396			0.826979	+	0.562234i	$0.190058\pi$
$702$	−9.50716	+	1.29316i	−0.358825	+	0.0488072i
$703$	2.84983	+	4.93604i	0.107483	+	0.186166i
$704$	2.11016	−	3.65490i	0.0795295	−	0.137749i
$705$	5.09449	+	22.8252i	0.191870	+	0.859648i
$706$	−2.09792	+	3.63370i	−0.0789561	+	0.136756i
$707$	−0.745180	+	13.5665i	−0.0280254	+	0.510222i
$708$	16.8727	+	5.29343i	0.634115	+	0.198939i
$709$	44.6344			1.67628			0.838139	−	0.545457i	$-0.183644\pi$
$709$	44.6344			1.67628			0.838139	+	0.545457i	$0.183644\pi$
$710$	−0.0384437	−	0.0665865i	−0.00144277	−	0.00249895i
$711$	−4.54286	−	3.16162i	−0.170371	−	0.118570i
$712$	−16.0966	+	27.8801i	−0.603244	+	1.04485i
$713$	−6.81163	−	11.7981i	−0.255097	−	0.441842i
$714$	−2.18491	−	2.65636i	−0.0817681	−	0.0994117i
$715$	9.67699	−	16.7610i	0.361899	−	0.626827i
$716$	−5.91227	−	10.2403i	−0.220952	−	0.382700i
$717$	16.6234	−	15.2764i	0.620814	−	0.570506i
$718$	−3.41705	+	5.91851i	−0.127523	+	0.220877i
$719$	−19.5096	+	33.7917i	−0.727586	+	1.26022i	0.230315	+	0.973116i	$0.426024\pi$
$719$	−19.5096	+	33.7917i	−0.727586	+	1.26022i	−0.957901	+	0.287100i	$0.907309\pi$
$720$	0.542692	−	6.41425i	0.0202249	−	0.239045i
$721$	−31.4819	−	20.5572i	−1.17245	−	0.765592i
$722$	0.965081	+	1.67157i	0.0359166	+	0.0622094i
$723$	−18.5974	+	17.0904i	−0.691645	+	0.635598i
$724$	−24.0825			−0.895019
$725$	20.2259			0.751171
$726$	−3.36698	−	15.0853i	−0.124960	−	0.559869i
$727$	−11.2554	−	19.4949i	−0.417439	−	0.723025i	0.578242	−	0.815865i	$-0.303739\pi$
$727$	−11.2554	−	19.4949i	−0.417439	−	0.723025i	−0.995681	+	0.0928402i	$0.970405\pi$
$728$	−0.951361	+	17.3202i	−0.0352598	+	0.641929i
$729$	−6.76407	+	26.1390i	−0.250521	+	0.968111i
$730$	5.10593	−	8.84373i	0.188979	−	0.327321i
$731$	0.557951	−	0.966399i	0.0206366	−	0.0357436i
$732$	−0.192877	−	0.0605107i	−0.00712894	−	0.00223654i
$733$	0.448519	+	0.776858i	0.0165664	+	0.0286939i	0.874190	−	0.485584i	$-0.161393\pi$
$733$	0.448519	+	0.776858i	0.0165664	+	0.0286939i	−0.857623	+	0.514278i	$0.828060\pi$
$734$	9.60441	−	16.6353i	0.354505	−	0.614021i
$735$	−15.8187	−	6.94589i	−0.583480	−	0.256203i
$736$	−15.6837	−	27.1649i	−0.578108	−	1.00131i
$737$	−31.0335	+	53.7517i	−1.14314	+	1.97997i
$738$	0.452795	−	0.212720i	0.0166676	−	0.00783035i
$739$	1.79032	+	3.10092i	0.0658578	+	0.114069i	0.897074	−	0.441880i	$-0.145688\pi$
$739$	1.79032	+	3.10092i	0.0658578	+	0.114069i	−0.831216	+	0.555949i	$0.812355\pi$
$740$	3.13667			0.115306
$741$	−4.17291	−	18.6962i	−0.153296	−	0.686823i
$742$	1.21836	+	0.795574i	0.0447275	+	0.0292064i
$743$	−24.7964	+	42.9486i	−0.909691	+	1.57563i	−0.0951977	+	0.995458i	$0.530348\pi$
$743$	−24.7964	+	42.9486i	−0.909691	+	1.57563i	−0.814493	+	0.580173i	$0.802985\pi$
$744$	−9.85660	−	3.09228i	−0.361360	−	0.113369i
$745$	6.09583	−	10.5583i	0.223334	−	0.386826i
$746$	5.38726	+	9.33101i	0.197242	+	0.341633i
$747$	3.66015	−	43.2604i	0.133918	−	1.58282i
$748$	−8.56098			−0.313020
$749$	−1.11156	+	20.2367i	−0.0406155	+	0.739434i
$750$	−12.5804	−	3.94682i	−0.459373	−	0.144118i
$751$	21.4515	+	37.1551i	0.782776	+	1.35581i	0.930319	+	0.366752i	$0.119530\pi$
$751$	21.4515	+	37.1551i	0.782776	+	1.35581i	−0.147543	+	0.989056i	$0.547136\pi$
$752$	−14.2690			−0.520337
$753$	−23.2550	−	7.29574i	−0.847461	−	0.265871i
$754$	−12.5767			−0.458016
$755$	−25.1633			−0.915786
$756$	19.2576	+	9.14340i	0.700391	+	0.332542i
$757$	13.8029			0.501677			0.250838	−	0.968029i	$-0.419294\pi$
$757$	13.8029			0.501677			0.250838	+	0.968029i	$0.419294\pi$
$758$	−0.683021			−0.0248084
$759$	−44.3015	−	13.8986i	−1.60804	−	0.504487i
$760$	−13.6171			−0.493945
$761$	−20.3599	−	35.2643i	−0.738044	−	1.27833i	−0.953375	−	0.301789i	$-0.902416\pi$
$761$	−20.3599	−	35.2643i	−0.738044	−	1.27833i	0.215330	−	0.976541i	$-0.430917\pi$
$762$	8.04245	+	2.52314i	0.291347	+	0.0914036i
$763$	3.76330	+	2.45738i	0.136241	+	0.0889633i
$764$	−23.0001			−0.832113
$765$	4.33216	−	2.03523i	0.156630	−	0.0735838i
$766$	3.88342	+	6.72627i	0.140313	+	0.243030i
$767$	9.06826	−	15.7067i	0.327436	−	0.567135i
$768$	−14.9768	−	4.69862i	−0.540428	−	0.169547i
$769$	5.57381	−	9.65413i	0.200997	−	0.348137i	−0.747853	−	0.663864i	$-0.768915\pi$
$769$	5.57381	−	9.65413i	0.200997	−	0.348137i	0.948850	+	0.315728i	$0.102249\pi$
$770$	11.1169	−	5.62922i	0.400627	−	0.202863i
$771$	3.15506	+	14.1359i	0.113627	+	0.509090i
$772$	−25.6908			−0.924633
$773$	−0.462831	−	0.801647i	−0.0166469	−	0.0288332i	0.857582	−	0.514347i	$-0.171966\pi$
$773$	−0.462831	−	0.801647i	−0.0166469	−	0.0288332i	−0.874229	+	0.485514i	$0.838632\pi$
$774$	0.168967	−	1.99708i	0.00607341	−	0.0717835i
$775$	3.72061	−	6.44428i	0.133648	−	0.231485i
$776$	−6.43012	−	11.1373i	−0.230828	−	0.399806i
$777$	−2.28480	+	6.09087i	−0.0819668	+	0.218509i
$778$	−5.97049	+	10.3412i	−0.214052	+	0.370750i
$779$	0.499408	+	0.865001i	0.0178932	+	0.0309919i
$780$	−10.0588	−	3.15571i	−0.360162	−	0.112993i
$781$	0.198452	−	0.343728i	0.00710116	−	0.0122996i
$782$	2.04024	−	3.53381i	0.0729590	−	0.126369i
$783$	−13.4033	+	32.7553i	−0.478996	+	1.17058i
$784$	6.23854	−	8.49648i	0.222805	−	0.303446i
$785$	−4.50386	−	7.80092i	−0.160750	−	0.278427i
$786$	5.17293	+	23.1767i	0.184512	+	0.826684i
$787$	23.0240			0.820716			0.410358	−	0.911925i	$-0.365404\pi$
$787$	23.0240			0.820716			0.410358	+	0.911925i	$0.365404\pi$
$788$	6.26061			0.223025
$789$	−4.17116	+	3.83315i	−0.148497	+	0.136464i
$790$	0.881115	+	1.52614i	0.0313487	+	0.0542975i
$791$	0.0871659	−	1.58692i	0.00309926	−	0.0564243i
$792$	−31.8661	+	14.9705i	−1.13231	+	0.531955i
$793$	−0.103662	+	0.179548i	−0.00368114	+	0.00637593i
$794$	−4.38551	+	7.59592i	−0.155636	+	0.269569i
$795$	−1.49099	+	1.37017i	−0.0528798	+	0.0485947i
$796$	19.6014	+	33.9505i	0.694752	+	1.20335i
$797$	11.3925	−	19.7325i	0.403544	−	0.698960i	−0.590606	−	0.806960i	$-0.701111\pi$
$797$	11.3925	−	19.7325i	0.403544	−	0.698960i	0.994151	+	0.108000i	$0.0344447\pi$
$798$	4.33183	−	11.5479i	0.153345	−	0.408790i
$799$	−5.30492	−	9.18839i	−0.187675	−	0.325062i
$800$	8.56664	−	14.8379i	0.302877	−	0.524598i
$801$	36.7265	−	17.2539i	1.29767	−	0.609637i
$802$	−4.72695	−	8.18732i	−0.166914	−	0.289104i
$803$	52.7150			1.86027
$804$	32.2579	+	10.1202i	1.13765	+	0.356912i
$805$	1.12412	−	20.4653i	0.0396199	−	0.721308i
$806$	−2.31352	+	4.00713i	−0.0814901	+	0.141145i
$807$	−5.80555	−	26.0110i	−0.204365	−	0.915632i
$808$	−6.11143	+	10.5853i	−0.214999	+	0.372390i
$809$	6.73753	+	11.6697i	0.236879	+	0.410286i	0.959817	−	0.280627i	$-0.0905422\pi$
$809$	6.73753	+	11.6697i	0.236879	+	0.410286i	−0.722938	+	0.690913i	$0.757209\pi$
$810$	5.48805	−	6.61691i	0.192830	−	0.232495i
$811$	−30.7348			−1.07924			−0.539622	−	0.841907i	$-0.681433\pi$
$811$	−30.7348			−1.07924			−0.539622	+	0.841907i	$0.681433\pi$
$812$	23.3971	+	15.2780i	0.821077	+	0.536151i
$813$	10.3635	−	9.52372i	0.363465	−	0.334011i
$814$	−2.34603	−	4.06344i	−0.0822283	−	0.142424i
$815$	11.4318			0.400439
$816$	0.636152	+	2.85020i	0.0222698	+	0.0997769i
$817$	4.00150			0.139995
$818$	−1.77369			−0.0620158
$819$	13.4548	−	17.2337i	0.470150	−	0.602196i
$820$	0.549675			0.0191955
$821$	−16.9864			−0.592829			−0.296414	−	0.955059i	$-0.595791\pi$
$821$	−16.9864			−0.592829			−0.296414	+	0.955059i	$0.595791\pi$
$822$	−10.4396	+	9.59367i	−0.364124	+	0.334618i
$823$	−18.5831			−0.647768			−0.323884	−	0.946097i	$-0.604989\pi$
$823$	−18.5831			−0.647768			−0.323884	+	0.946097i	$0.604989\pi$
$824$	−16.9122	−	29.2928i	−0.589164	−	1.02046i
$825$	−5.52453	−	24.7520i	−0.192340	−	0.861754i
$826$	10.4176	−	5.27512i	0.362476	−	0.183545i
$827$	14.5419			0.505670			0.252835	−	0.967509i	$-0.418637\pi$
$827$	14.5419			0.505670			0.252835	+	0.967509i	$0.418637\pi$
$828$	−2.13218	+	25.2009i	−0.0740982	+	0.875791i
$829$	4.78717	+	8.29161i	0.166265	+	0.287980i	0.937104	−	0.349051i	$-0.113496\pi$
$829$	4.78717	+	8.29161i	0.166265	+	0.287980i	−0.770839	+	0.637030i	$0.780163\pi$
$830$	−6.91154	+	11.9711i	−0.239903	+	0.415524i
$831$	−16.3825	+	15.0550i	−0.568303	+	0.522251i
$832$	−1.17885	+	2.04183i	−0.0408693	+	0.0707877i
$833$	7.79060	+	0.858431i	0.269928	+	0.0297429i
$834$	−2.12170	+	1.94977i	−0.0734685	+	0.0675150i
$835$	−3.02195			−0.104579
$836$	−15.3494	−	26.5859i	−0.530869	−	0.919492i
$837$	7.97075	+	10.2959i	0.275509	+	0.355879i
$838$	11.2326	−	19.4554i	0.388023	−	0.672075i
$839$	21.2303	+	36.7720i	0.732952	+	1.26951i	0.955616	+	0.294615i	$0.0951913\pi$
$839$	21.2303	+	36.7720i	0.732952	+	1.26951i	−0.222664	+	0.974895i	$0.571475\pi$
$840$	−9.87288	−	12.0032i	−0.340647	−	0.414150i
$841$	−8.69551	+	15.0611i	−0.299845	+	0.519347i
$842$	−1.62187	−	2.80917i	−0.0558934	−	0.0968103i
$843$	−0.546395	−	2.44806i	−0.0188189	−	0.0843155i
$844$	5.83428	−	10.1053i	0.200824	−	0.347838i
$845$	3.85599	−	6.67877i	0.132650	−	0.229757i
$846$	−15.6408	−	10.8853i	−0.537742	−	0.374243i
$847$	29.4911	+	19.2572i	1.01332	+	0.661687i
$848$	−0.617738	−	1.06995i	−0.0212132	−	0.0367423i
$849$	−28.8194	−	9.04143i	−0.989079	−	0.310301i
$850$	2.22882			0.0764479
$851$	−7.71767			−0.264558
$852$	−0.206281	−	0.0647161i	−0.00706708	−	0.00221714i
$853$	7.14039	+	12.3675i	0.244482	+	0.423456i	0.961986	−	0.273099i	$-0.0880486\pi$
$853$	7.14039	+	12.3675i	0.244482	+	0.423456i	−0.717504	+	0.696555i	$0.754715\pi$
$854$	−0.119087	+	0.0603014i	−0.00407507	+	0.00206347i
$855$	14.0877	+	9.80436i	0.481788	+	0.335302i
$856$	−9.11621	+	15.7897i	−0.311586	+	0.539682i
$857$	−17.3895	+	30.1195i	−0.594013	+	1.02886i	0.399672	+	0.916658i	$0.369124\pi$
$857$	−17.3895	+	30.1195i	−0.594013	+	1.02886i	−0.993685	+	0.112203i	$0.964209\pi$
$858$	3.43522	+	15.3911i	0.117276	+	0.525442i
$859$	6.32429	+	10.9540i	0.215782	+	0.373745i	0.953514	−	0.301348i	$-0.0974366\pi$
$859$	6.32429	+	10.9540i	0.215782	+	0.373745i	−0.737732	+	0.675093i	$0.764103\pi$
$860$	1.10107	−	1.90710i	0.0375460	−	0.0650316i
$861$	−0.400392	+	1.06737i	−0.0136453	+	0.0363760i
$862$	11.8409	+	20.5091i	0.403304	+	0.698543i
$863$	13.2398	−	22.9321i	0.450690	−	0.780617i	−0.547739	−	0.836649i	$-0.684511\pi$
$863$	13.2398	−	22.9321i	0.450690	−	0.780617i	0.998429	+	0.0560318i	$0.0178448\pi$
$864$	18.3525	+	23.7062i	0.624366	+	0.806501i
$865$	13.0297	+	22.5681i	0.443022	+	0.767337i
$866$	3.66943			0.124692
$867$	20.0817	−	18.4544i	0.682011	−	0.626744i
$868$	9.17174	−	4.64424i	0.311309	−	0.157636i
$869$	−4.54843	+	7.87811i	−0.154295	+	0.267247i
$870$	8.29707	−	7.62472i	0.281297	−	0.258502i
$871$	17.3371	−	30.0287i	0.587444	−	1.01748i
$872$	2.02166	+	3.50162i	0.0684621	+	0.118580i
$873$	−1.36657	+	16.1519i	−0.0462512	+	0.546658i
$874$	14.6322			0.494941
$875$	26.8049	−	13.5730i	0.906171	−	0.458852i
$876$	−6.25494	−	28.0245i	−0.211335	−	0.946860i
$877$	−14.2267	−	24.6414i	−0.480402	−	0.832081i	0.519345	−	0.854565i	$-0.326176\pi$
$877$	−14.2267	−	24.6414i	−0.480402	−	0.832081i	−0.999747	+	0.0224835i	$0.992843\pi$
$878$	4.28887			0.144742
$879$	−2.29571	+	2.10968i	−0.0774325	+	0.0711578i
$880$	−10.5801			−0.356654
$881$	−20.3637			−0.686071			−0.343036	−	0.939322i	$-0.611455\pi$
$881$	−20.3637			−0.686071			−0.343036	+	0.939322i	$0.611455\pi$
$882$	13.3199	−	4.55419i	0.448506	−	0.153347i
$883$	49.1950			1.65554			0.827772	−	0.561065i	$-0.189608\pi$
$883$	49.1950			1.65554			0.827772	+	0.561065i	$0.189608\pi$
$884$	4.78264			0.160858
$885$	3.53981	+	15.8597i	0.118989	+	0.533117i
$886$	−4.28129			−0.143833
$887$	2.10846	+	3.65196i	0.0707952	+	0.122621i	0.899250	−	0.437435i	$-0.144113\pi$
$887$	2.10846	+	3.65196i	0.0707952	+	0.122621i	−0.828455	+	0.560056i	$0.810780\pi$
$888$	−4.30902	+	3.95984i	−0.144601	+	0.132883i
$889$	−17.1359	+	8.67701i	−0.574720	+	0.291018i
$890$	−12.9196			−0.433067
$891$	43.7461	+	7.45585i	1.46555	+	0.249780i
$892$	−10.0673	−	17.4371i	−0.337078	−	0.583837i
$893$	19.0229	−	32.9486i	0.636576	−	1.10258i
$894$	2.16395	+	9.69531i	0.0723733	+	0.324260i
$895$	5.43294	−	9.41013i	0.181603	−	0.314546i
$896$	25.8830	−	13.1062i	0.864691	−	0.437849i
$897$	24.7493	+	7.76453i	0.826355	+	0.259250i
$898$	−7.87371			−0.262749
$899$	8.53374	+	14.7809i	0.284616	+	0.492970i
$900$	−12.5032	+	5.87394i	−0.416774	+	0.195798i
$901$	0.459325	−	0.795574i	0.0153023	−	0.0265044i
$902$	−0.411122	−	0.712084i	−0.0136889	−	0.0237098i
$903$	2.90123	+	3.52724i	0.0965468	+	0.117379i
$904$	0.714872	−	1.23819i	0.0237763	−	0.0411817i
$905$	−11.0650	−	19.1652i	−0.367814	−	0.637072i
$906$	15.0968	−	13.8734i	0.501556	−	0.460913i
$907$	−23.9925	+	41.5563i	−0.796659	+	1.37985i	0.125121	+	0.992142i	$0.460068\pi$
$907$	−23.9925	+	41.5563i	−0.796659	+	1.37985i	−0.921780	+	0.387713i	$0.873265\pi$
$908$	−22.4585	+	38.8993i	−0.745311	+	1.29092i
$909$	13.9441	−	6.55085i	0.462496	−	0.217278i
$910$	−6.21054	+	3.14480i	−0.205878	+	0.104249i
$911$	−12.8667	−	22.2858i	−0.426294	−	0.738362i	0.570247	−	0.821474i	$-0.306848\pi$
$911$	−12.8667	−	22.2858i	−0.426294	−	0.738362i	−0.996540	+	0.0831113i	$0.973514\pi$
$912$	−7.71063	+	7.08580i	−0.255324	+	0.234634i
$913$	−71.3565			−2.36155
$914$	7.05351			0.233309
$915$	−0.0404646	−	0.181297i	−0.00133772	−	0.00599348i
$916$	11.9678	+	20.7288i	0.395427	+	0.684900i
$917$	−45.3092	−	29.5863i	−1.49624	−	0.977024i
$918$	−1.47700	+	3.60951i	−0.0487482	+	0.119132i
$919$	1.13478	−	1.96550i	0.0374330	−	0.0648359i	−0.846702	−	0.532068i	$-0.821415\pi$
$919$	1.13478	−	1.96550i	0.0374330	−	0.0648359i	0.884135	+	0.467232i	$0.154749\pi$
$920$	9.21919	−	15.9681i	0.303948	−	0.526453i
$921$	1.75968	+	0.552059i	0.0579834	+	0.0181910i
$922$	−2.37484	−	4.11334i	−0.0782111	−	0.135466i
$923$	−0.110866	+	0.192026i	−0.00364920	+	0.00632060i
$924$	12.3061	−	32.8058i	0.404841	−	1.07923i
$925$	−2.10775	−	3.65073i	−0.0693024	−	0.120035i
$926$	10.9774	−	19.0134i	0.360740	−	0.624819i
$927$	−3.59427	+	42.4819i	−0.118051	+	1.39529i
$928$	19.6488	+	34.0328i	0.645004	+	1.11718i
$929$	45.8496			1.50428			0.752138	−	0.659006i	$-0.229023\pi$
$929$	45.8496			1.50428			0.752138	+	0.659006i	$0.229023\pi$
$930$	−0.903084	−	4.04616i	−0.0296133	−	0.132679i
$931$	11.3023	+	25.7326i	0.370417	+	0.843352i
$932$	3.83514	−	6.64266i	0.125624	−	0.217587i
$933$	−27.9778	−	8.77739i	−0.915952	−	0.287359i
$934$	1.31530	−	2.27816i	0.0430379	−	0.0745438i
$935$	−3.93346	−	6.81294i	−0.128638	−	0.222807i
$936$	17.8022	−	8.36337i	0.581883	−	0.273365i
$937$	−56.2075			−1.83622			−0.918110	−	0.396325i	$-0.870285\pi$
$937$	−56.2075			−1.83622			−0.918110	+	0.396325i	$0.870285\pi$
$938$	19.9169	−	10.0852i	0.650309	−	0.329293i
$939$	−13.6814	−	4.29222i	−0.446475	−	0.140071i
$940$	−10.4688	−	18.1325i	−0.341454	−	0.591416i
$941$	−35.2803			−1.15011			−0.575053	−	0.818116i	$-0.695018\pi$
$941$	−35.2803			−1.15011			−0.575053	+	0.818116i	$0.695018\pi$
$942$	7.00302	+	2.19704i	0.228171	+	0.0715833i
$943$	−1.35246			−0.0440421
$944$	−9.91453			−0.322691
$945$	1.57170	+	19.5265i	0.0511274	+	0.635197i
$946$	−3.29411			−0.107101
$947$	−50.7130			−1.64795			−0.823976	−	0.566625i	$-0.808249\pi$
$947$	−50.7130			−1.64795			−0.823976	+	0.566625i	$0.808249\pi$
$948$	4.72788	+	1.48327i	0.153554	+	0.0481742i
$949$	−29.4495			−0.955972
$950$	3.99615	+	6.92154i	0.129652	+	0.224564i
$951$	10.8204	+	3.39467i	0.350877	+	0.110080i
$952$	5.90367	+	3.85501i	0.191339	+	0.124942i
$953$	25.9988			0.842184			0.421092	−	0.907018i	$-0.361647\pi$
$953$	25.9988			0.842184			0.421092	+	0.907018i	$0.361647\pi$
$954$	0.139100	−	1.64407i	0.00450352	−	0.0532286i
$955$	−10.5677	−	18.3038i	−0.341962	−	0.592296i
$956$	−10.1061	+	17.5043i	−0.326855	+	0.566130i
$957$	55.5019	+	17.4124i	1.79412	+	0.562864i
$958$	−5.39165	+	9.33861i	−0.174196	+	0.301717i
$959$	1.77199	−	32.2603i	0.0572204	−	1.04174i
$960$	−0.460166	−	2.06172i	−0.0148518	−	0.0665417i
$961$	−24.7208			−0.797445
$962$	1.31062	+	2.27006i	0.0422562	+	0.0731898i
$963$	20.7999	−	9.77167i	0.670267	−	0.314888i
$964$	11.3062	−	19.5829i	0.364148	−	0.630722i
$965$	−11.8040	−	20.4451i	−0.379984	−	0.658152i
$966$	10.6088	+	12.8980i	0.341334	+	0.414985i
$967$	−12.9810	+	22.4838i	−0.417442	+	0.723031i	−0.995681	−	0.0928360i	$-0.970407\pi$
$967$	−12.9810	+	22.4838i	−0.417442	+	0.723031i	0.578239	+	0.815867i	$0.303740\pi$
$968$	15.8427	+	27.4404i	0.509204	+	0.881967i
$969$	−7.42950	−	2.33083i	−0.238670	−	0.0748772i
$970$	2.58052	−	4.46959i	0.0828554	−	0.143510i
$971$	−3.97206	+	6.87981i	−0.127469	+	0.220783i	−0.922696	−	0.385530i	$-0.874019\pi$
$971$	−3.97206	+	6.87981i	−0.127469	+	0.220783i	0.795226	+	0.606313i	$0.207352\pi$
$972$	−1.22703	−	24.1411i	−0.0393572	−	0.774327i
$973$	0.360130	−	6.55643i	0.0115452	−	0.210189i
$974$	−1.17424	−	2.03384i	−0.0376249	−	0.0651683i
$975$	3.08631	+	13.8278i	0.0988411	+	0.442845i
$976$	0.113336			0.00362779
$977$	−52.2548			−1.67178			−0.835889	−	0.548898i	$-0.815048\pi$
$977$	−52.2548			−1.67178			−0.835889	+	0.548898i	$0.815048\pi$
$978$	−6.85853	+	6.30275i	−0.219312	+	0.201540i
$979$	−33.3464	−	57.7577i	−1.06576	−	1.84594i
$980$	15.3740	+	1.69404i	0.491106	+	0.0541140i
$981$	0.429654	−	5.07822i	0.0137178	−	0.162135i
$982$	−13.7784	+	23.8650i	−0.439688	+	0.761562i
$983$	19.4190	−	33.6346i	0.619369	−	1.07278i	−0.370232	−	0.928939i	$-0.620722\pi$
$983$	19.4190	−	33.6346i	0.619369	−	1.07278i	0.989601	−	0.143839i	$-0.0459448\pi$
$984$	−0.755120	+	0.693929i	−0.0240723	+	0.0221216i
$985$	2.87652	+	4.98228i	0.0916535	+	0.158749i
$986$	−2.55606	+	4.42722i	−0.0814015	+	0.140991i
$987$	42.8357	−	7.12058i	1.36348	−	0.226651i
$988$	8.57501	+	14.8524i	0.272807	+	0.472516i
$989$	−2.70914	+	4.69236i	−0.0861455	+	0.149208i
$990$	−11.5972	−	8.07113i	−0.368584	−	0.256517i
$991$	−15.4689	−	26.7929i	−0.491385	−	0.851104i	0.508565	−	0.861023i	$-0.330176\pi$
$991$	−15.4689	−	26.7929i	−0.491385	−	0.851104i	−0.999951	+	0.00991892i	$0.996843\pi$
$992$	14.4578			0.459036
$993$	−44.1679	−	13.8567i	−1.40163	−	0.439728i
$994$	−0.127363	+	0.0644922i	−0.00403972	+	0.00204557i
$995$	−18.0122	+	31.1981i	−0.571025	+	0.989045i
$996$	8.46687	+	37.9348i	0.268283	+	1.20201i
$997$	−23.5335	+	40.7612i	−0.745313	+	1.29092i	0.204735	+	0.978817i	$0.434367\pi$
$997$	−23.5335	+	40.7612i	−0.745313	+	1.29092i	−0.950048	+	0.312103i	$0.898967\pi$
$998$	−3.96492	−	6.86745i	−0.125507	−	0.217385i
$999$	7.30902	−	0.994170i	0.231247	−	0.0314542i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	63.2.h.b.58.4	yes	10
3.2	odd	2		189.2.h.b.37.2		10
4.3	odd	2		1008.2.q.i.625.1		10
7.2	even	3		441.2.f.e.148.2		10
7.3	odd	6		441.2.g.f.67.2		10
7.4	even	3		63.2.g.b.4.2	✓	10
7.5	odd	6		441.2.f.f.148.2		10
7.6	odd	2		441.2.h.f.373.4		10
9.2	odd	6		189.2.g.b.100.4		10
9.4	even	3		567.2.e.f.163.2		10
9.5	odd	6		567.2.e.e.163.4		10
9.7	even	3		63.2.g.b.16.2	yes	10
12.11	even	2		3024.2.q.i.2305.5		10
21.2	odd	6		1323.2.f.e.442.4		10
21.5	even	6		1323.2.f.f.442.4		10
21.11	odd	6		189.2.g.b.172.4		10
21.17	even	6		1323.2.g.f.361.4		10
21.20	even	2		1323.2.h.f.226.2		10
28.11	odd	6		1008.2.t.i.193.4		10
36.7	odd	6		1008.2.t.i.961.4		10
36.11	even	6		3024.2.t.i.289.1		10
63.2	odd	6		1323.2.f.e.883.4		10
63.4	even	3		567.2.e.f.487.2		10
63.5	even	6		3969.2.a.bb.1.2		5
63.11	odd	6		189.2.h.b.46.2		10
63.16	even	3		441.2.f.e.295.2		10
63.20	even	6		1323.2.g.f.667.4		10
63.23	odd	6		3969.2.a.bc.1.2		5
63.25	even	3	inner	63.2.h.b.25.4	yes	10
63.32	odd	6		567.2.e.e.487.4		10
63.34	odd	6		441.2.g.f.79.2		10
63.38	even	6		1323.2.h.f.802.2		10
63.40	odd	6		3969.2.a.ba.1.4		5
63.47	even	6		1323.2.f.f.883.4		10
63.52	odd	6		441.2.h.f.214.4		10
63.58	even	3		3969.2.a.z.1.4		5
63.61	odd	6		441.2.f.f.295.2		10
84.11	even	6		3024.2.t.i.1873.1		10
252.11	even	6		3024.2.q.i.2881.5		10
252.151	odd	6		1008.2.q.i.529.1		10

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
63.2.g.b.4.2	✓	10	7.4	even	3
63.2.g.b.16.2	yes	10	9.7	even	3
63.2.h.b.25.4	yes	10	63.25	even	3	inner
63.2.h.b.58.4	yes	10	1.1	even	1	trivial
189.2.g.b.100.4		10	9.2	odd	6
189.2.g.b.172.4		10	21.11	odd	6
189.2.h.b.37.2		10	3.2	odd	2
189.2.h.b.46.2		10	63.11	odd	6
441.2.f.e.148.2		10	7.2	even	3
441.2.f.e.295.2		10	63.16	even	3
441.2.f.f.148.2		10	7.5	odd	6
441.2.f.f.295.2		10	63.61	odd	6
441.2.g.f.67.2		10	7.3	odd	6
441.2.g.f.79.2		10	63.34	odd	6
441.2.h.f.214.4		10	63.52	odd	6
441.2.h.f.373.4		10	7.6	odd	2
567.2.e.e.163.4		10	9.5	odd	6
567.2.e.e.487.4		10	63.32	odd	6
567.2.e.f.163.2		10	9.4	even	3
567.2.e.f.487.2		10	63.4	even	3
1008.2.q.i.529.1		10	252.151	odd	6
1008.2.q.i.625.1		10	4.3	odd	2
1008.2.t.i.193.4		10	28.11	odd	6
1008.2.t.i.961.4		10	36.7	odd	6
1323.2.f.e.442.4		10	21.2	odd	6
1323.2.f.e.883.4		10	63.2	odd	6
1323.2.f.f.442.4		10	21.5	even	6
1323.2.f.f.883.4		10	63.47	even	6
1323.2.g.f.361.4		10	21.17	even	6
1323.2.g.f.667.4		10	63.20	even	6
1323.2.h.f.226.2		10	21.20	even	2
1323.2.h.f.802.2		10	63.38	even	6
3024.2.q.i.2305.5		10	12.11	even	2
3024.2.q.i.2881.5		10	252.11	even	6
3024.2.t.i.289.1		10	36.11	even	6
3024.2.t.i.1873.1		10	84.11	even	6
3969.2.a.z.1.4		5	63.58	even	3
3969.2.a.ba.1.4		5	63.40	odd	6
3969.2.a.bb.1.2		5	63.5	even	6
3969.2.a.bc.1.2		5	63.23	odd	6

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:	\( N \)	\(=\)	\( 63 = 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	63.h (of order \(3\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+0.670333 q^{2} +(1.65263 + 0.518475i) q^{3} -1.55065 q^{4} +(-0.712469 - 1.23403i) q^{5} +(1.10781 + 0.347551i) q^{6} +(-2.36039 + 1.19522i) q^{7} -2.38012 q^{8} +(2.46237 + 1.71369i) q^{9} +O(q^{10})\)	\(q+0.670333 q^{2} +(1.65263 + 0.518475i) q^{3} -1.55065 q^{4} +(-0.712469 - 1.23403i) q^{5} +(1.10781 + 0.347551i) q^{6} +(-2.36039 + 1.19522i) q^{7} -2.38012 q^{8} +(2.46237 + 1.71369i) q^{9} +(-0.477591 - 0.827212i) q^{10} +(2.46539 - 4.27018i) q^{11} +(-2.56266 - 0.803975i) q^{12} +(-1.37730 + 2.38556i) q^{13} +(-1.58225 + 0.801194i) q^{14} +(-0.537632 - 2.40879i) q^{15} +1.50584 q^{16} +(0.559839 + 0.969670i) q^{17} +(1.65061 + 1.14874i) q^{18} +(-2.00752 + 3.47713i) q^{19} +(1.10479 + 1.91356i) q^{20} +(-4.52054 + 0.751449i) q^{21} +(1.65263 - 2.86244i) q^{22} +(-2.71830 - 4.70824i) q^{23} +(-3.93346 - 1.23403i) q^{24} +(1.48478 - 2.57171i) q^{25} +(-0.923251 + 1.59912i) q^{26} +(3.18087 + 4.10878i) q^{27} +(3.66015 - 1.85337i) q^{28} +(3.40555 + 5.89858i) q^{29} +(-0.360392 - 1.61469i) q^{30} +2.50584 q^{31} +5.76965 q^{32} +(6.28835 - 5.77878i) q^{33} +(0.375279 + 0.650002i) q^{34} +(3.15664 + 2.06124i) q^{35} +(-3.81828 - 2.65735i) q^{36} +(0.709787 - 1.22939i) q^{37} +(-1.34571 + 2.33083i) q^{38} +(-3.51302 + 3.22835i) q^{39} +(1.69576 + 2.93714i) q^{40} +(0.124384 - 0.215440i) q^{41} +(-3.03027 + 0.503721i) q^{42} +(-0.498313 - 0.863104i) q^{43} +(-3.82296 + 6.62156i) q^{44} +(0.360392 - 4.25959i) q^{45} +(-1.82217 - 3.15609i) q^{46} -9.47579 q^{47} +(2.48859 + 0.780738i) q^{48} +(4.14291 - 5.64237i) q^{49} +(0.995294 - 1.72390i) q^{50} +(0.422457 + 1.89277i) q^{51} +(2.13572 - 3.69917i) q^{52} +(-0.410229 - 0.710537i) q^{53} +(2.13224 + 2.75425i) q^{54} -7.02604 q^{55} +(5.61802 - 2.84476i) q^{56} +(-5.12050 + 4.70556i) q^{57} +(2.28285 + 3.95401i) q^{58} -6.58407 q^{59} +(0.833682 + 3.73521i) q^{60} +0.0752645 q^{61} +1.67974 q^{62} +(-7.86039 - 1.10192i) q^{63} +0.855913 q^{64} +3.92514 q^{65} +(4.21529 - 3.87370i) q^{66} -12.5877 q^{67} +(-0.868117 - 1.50362i) q^{68} +(-2.05125 - 9.19035i) q^{69} +(2.11600 + 1.38172i) q^{70} +0.0804951 q^{71} +(-5.86073 - 4.07880i) q^{72} +(5.34551 + 9.25869i) q^{73} +(0.475793 - 0.824098i) q^{74} +(3.78715 - 3.48026i) q^{75} +(3.11297 - 5.39183i) q^{76} +(-0.715488 + 13.0260i) q^{77} +(-2.35489 + 2.16407i) q^{78} -1.84491 q^{79} +(-1.07286 - 1.85825i) q^{80} +(3.12651 + 8.43949i) q^{81} +(0.0833788 - 0.144416i) q^{82} +(-7.23583 - 12.5328i) q^{83} +(7.00980 - 1.16524i) q^{84} +(0.797736 - 1.38172i) q^{85} +(-0.334036 - 0.578567i) q^{86} +(2.56984 + 11.5139i) q^{87} +(-5.86792 + 10.1635i) q^{88} +(6.76292 - 11.7137i) q^{89} +(0.241583 - 2.85534i) q^{90} +(0.399711 - 7.27703i) q^{91} +(4.21515 + 7.30085i) q^{92} +(4.14122 + 1.29921i) q^{93} -6.35193 q^{94} +5.72119 q^{95} +(9.53509 + 2.99142i) q^{96} +(2.70160 + 4.67930i) q^{97} +(2.77712 - 3.78226i) q^{98} +(13.3885 - 6.28982i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q - 4 q^{2} - q^{3} + 8 q^{4} + 4 q^{5} - 2 q^{6} - 4 q^{7} - 6 q^{8} + 11 q^{9}+O(q^{10}) \) 10 * q - 4 * q^2 - q^3 + 8 * q^4 + 4 * q^5 - 2 * q^6 - 4 * q^7 - 6 * q^8 + 11 * q^9	\( 10 q - 4 q^{2} - q^{3} + 8 q^{4} + 4 q^{5} - 2 q^{6} - 4 q^{7} - 6 q^{8} + 11 q^{9} - 7 q^{10} + 4 q^{11} - 20 q^{12} - 8 q^{13} - 20 q^{14} - 19 q^{15} - 4 q^{16} + 12 q^{17} + 4 q^{18} + q^{19} + 5 q^{20} + 13 q^{21} - q^{22} + 3 q^{23} + 6 q^{24} - q^{25} + 11 q^{26} - 7 q^{27} - 2 q^{28} + 7 q^{29} + 16 q^{30} + 6 q^{31} + 4 q^{32} + 14 q^{33} + 3 q^{34} + 5 q^{35} + 34 q^{36} + 20 q^{38} + 2 q^{39} - 3 q^{40} + 5 q^{41} - 4 q^{42} - 7 q^{43} - 10 q^{44} - 16 q^{45} + 3 q^{46} - 54 q^{47} - 5 q^{48} - 8 q^{49} + 19 q^{50} - 9 q^{51} - 10 q^{52} - 21 q^{53} + q^{54} + 4 q^{55} + 18 q^{56} - 4 q^{57} - 10 q^{58} - 60 q^{59} + 10 q^{60} + 28 q^{61} - 12 q^{62} - 59 q^{63} - 50 q^{64} + 22 q^{65} + 19 q^{66} + 4 q^{67} + 27 q^{68} + 15 q^{69} + 40 q^{70} - 6 q^{71} - 36 q^{72} + 15 q^{73} - 36 q^{74} - 14 q^{75} + 5 q^{76} + 11 q^{77} - 20 q^{78} + 8 q^{79} + 20 q^{80} + 23 q^{81} - 5 q^{82} + 9 q^{83} + 35 q^{84} - 6 q^{85} - 8 q^{86} + 2 q^{87} - 18 q^{88} + 28 q^{89} + 28 q^{90} - 4 q^{91} + 27 q^{92} - 6 q^{93} + 6 q^{94} + 28 q^{95} + 59 q^{96} - 12 q^{97} + 59 q^{98} + 35 q^{99}+O(q^{100}) \) 10 * q - 4 * q^2 - q^3 + 8 * q^4 + 4 * q^5 - 2 * q^6 - 4 * q^7 - 6 * q^8 + 11 * q^9 - 7 * q^10 + 4 * q^11 - 20 * q^12 - 8 * q^13 - 20 * q^14 - 19 * q^15 - 4 * q^16 + 12 * q^17 + 4 * q^18 + q^19 + 5 * q^20 + 13 * q^21 - q^22 + 3 * q^23 + 6 * q^24 - q^25 + 11 * q^26 - 7 * q^27 - 2 * q^28 + 7 * q^29 + 16 * q^30 + 6 * q^31 + 4 * q^32 + 14 * q^33 + 3 * q^34 + 5 * q^35 + 34 * q^36 + 20 * q^38 + 2 * q^39 - 3 * q^40 + 5 * q^41 - 4 * q^42 - 7 * q^43 - 10 * q^44 - 16 * q^45 + 3 * q^46 - 54 * q^47 - 5 * q^48 - 8 * q^49 + 19 * q^50 - 9 * q^51 - 10 * q^52 - 21 * q^53 + q^54 + 4 * q^55 + 18 * q^56 - 4 * q^57 - 10 * q^58 - 60 * q^59 + 10 * q^60 + 28 * q^61 - 12 * q^62 - 59 * q^63 - 50 * q^64 + 22 * q^65 + 19 * q^66 + 4 * q^67 + 27 * q^68 + 15 * q^69 + 40 * q^70 - 6 * q^71 - 36 * q^72 + 15 * q^73 - 36 * q^74 - 14 * q^75 + 5 * q^76 + 11 * q^77 - 20 * q^78 + 8 * q^79 + 20 * q^80 + 23 * q^81 - 5 * q^82 + 9 * q^83 + 35 * q^84 - 6 * q^85 - 8 * q^86 + 2 * q^87 - 18 * q^88 + 28 * q^89 + 28 * q^90 - 4 * q^91 + 27 * q^92 - 6 * q^93 + 6 * q^94 + 28 * q^95 + 59 * q^96 - 12 * q^97 + 59 * q^98 + 35 * q^99

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