LMFDB - Embedded newform 252.2.bb.a.11.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(11,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([3, 1, 4]))

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

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

chi := DirichletCharacter("252.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$44$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			11.10
Character	$\chi$	$=$	252.11
Dual form			252.2.bb.a.23.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.08038 - 0.912567i) q^{2} +(-1.05609 - 1.37284i) q^{3} +(0.334444 + 1.97184i) q^{4} +(0.934343 + 0.539443i) q^{5} +(-0.111830 + 2.44694i) q^{6} +(0.423599 + 2.61162i) q^{7} +(1.43811 - 2.43554i) q^{8} +(-0.769364 + 2.89967i) q^{9} +O(q^{10})$	\(q+(-1.08038 - 0.912567i) q^{2} +(-1.05609 - 1.37284i) q^{3} +(0.334444 + 1.97184i) q^{4} +(0.934343 + 0.539443i) q^{5} +(-0.111830 + 2.44694i) q^{6} +(0.423599 + 2.61162i) q^{7} +(1.43811 - 2.43554i) q^{8} +(-0.769364 + 2.89967i) q^{9} +(-0.517168 - 1.43545i) q^{10} +(0.626749 + 1.08556i) q^{11} +(2.35381 - 2.54157i) q^{12} +(2.30636 + 3.99474i) q^{13} +(1.92563 - 3.20811i) q^{14} +(-0.246179 - 1.85240i) q^{15} +(-3.77629 + 1.31894i) q^{16} +(0.666743 + 0.384944i) q^{17} +(3.47735 - 2.43065i) q^{18} +(1.65017 - 0.952727i) q^{19} +(-0.751209 + 2.02279i) q^{20} +(3.13797 - 3.33963i) q^{21} +(0.313519 - 1.74477i) q^{22} +(4.07613 - 7.06006i) q^{23} +(-4.86236 + 0.597852i) q^{24} +(-1.91800 - 3.32208i) q^{25} +(1.15372 - 6.42055i) q^{26} +(4.79329 - 2.00609i) q^{27} +(-5.00802 + 1.70871i) q^{28} +(2.72778 + 1.57488i) q^{29} +(-1.42447 + 2.22595i) q^{30} +9.41457i q^{31} +(5.28346 + 2.02116i) q^{32} +(0.828397 - 2.00687i) q^{33} +(-0.369049 - 1.02433i) q^{34} +(-1.01303 + 2.66866i) q^{35} +(-5.97499 - 0.547284i) q^{36} +(-0.910296 - 1.57668i) q^{37} +(-2.65224 - 0.476584i) q^{38} +(3.04841 - 7.38505i) q^{39} +(2.65752 - 1.49985i) q^{40} +(-7.58055 + 4.37663i) q^{41} +(-6.43784 + 0.744461i) q^{42} +(6.74516 + 3.89432i) q^{43} +(-1.93094 + 1.59891i) q^{44} +(-2.28306 + 2.29426i) q^{45} +(-10.8465 + 3.90781i) q^{46} -1.93918 q^{47} +(5.79878 + 3.79132i) q^{48} +(-6.64113 + 2.21256i) q^{49} +(-0.959445 + 5.33941i) q^{50} +(-0.175672 - 1.32186i) q^{51} +(-7.10563 + 5.88380i) q^{52} +(5.05897 + 2.92080i) q^{53} +(-7.00926 - 2.20685i) q^{54} +1.35238i q^{55} +(6.96988 + 2.72410i) q^{56} +(-3.05066 - 1.25925i) q^{57} +(-1.50985 - 4.19075i) q^{58} -8.02424 q^{59} +(3.57030 - 1.10495i) q^{60} +11.2826 q^{61} +(8.59142 - 10.1713i) q^{62} +(-7.89874 - 0.780989i) q^{63} +(-3.86370 - 7.00513i) q^{64} +4.97661i q^{65} +(-2.72639 + 1.41222i) q^{66} +5.37252i q^{67} +(-0.536059 + 1.44345i) q^{68} +(-13.9971 + 1.86017i) q^{69} +(3.52979 - 1.95870i) q^{70} -6.05128 q^{71} +(5.95583 + 6.04385i) q^{72} +(4.18885 - 7.25531i) q^{73} +(-0.455359 + 2.53412i) q^{74} +(-2.53509 + 6.14150i) q^{75} +(2.43051 + 2.93524i) q^{76} +(-2.56958 + 2.09667i) q^{77} +(-10.0328 + 5.19679i) q^{78} -13.2578i q^{79} +(-4.23985 - 0.804754i) q^{80} +(-7.81616 - 4.46180i) q^{81} +(12.1838 + 2.18933i) q^{82} +(1.69976 - 2.94408i) q^{83} +(7.63469 + 5.07066i) q^{84} +(0.415311 + 0.719340i) q^{85} +(-3.73351 - 10.3627i) q^{86} +(-0.718710 - 5.40800i) q^{87} +(3.54526 + 0.0346819i) q^{88} +(-1.43369 + 0.827739i) q^{89} +(4.56023 - 0.395230i) q^{90} +(-9.45577 + 7.71552i) q^{91} +(15.2845 + 5.67627i) q^{92} +(12.9247 - 9.94260i) q^{93} +(2.09505 + 1.76963i) q^{94} +2.05577 q^{95} +(-2.80506 - 9.38785i) q^{96} +(0.231659 - 0.401245i) q^{97} +(9.19405 + 3.67006i) q^{98} +(-3.62996 + 0.982173i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9}+O(q^{10}) $ 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9	$ 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 6 q^{12} - 4 q^{13} - 18 q^{14} - 2 q^{16} + 2 q^{18} - 6 q^{20} - 6 q^{21} - 6 q^{22} - 14 q^{24} + 30 q^{25} + 6 q^{26} - 24 q^{29} - 29 q^{30} + 10 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} - 45 q^{38} - 4 q^{40} - 12 q^{41} - 46 q^{42} + 57 q^{44} - 18 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} - 7 q^{52} + 23 q^{54} - 24 q^{56} - 28 q^{57} + 5 q^{58} - 19 q^{60} - 4 q^{61} - 8 q^{64} + 60 q^{66} - 12 q^{68} - 6 q^{69} - 27 q^{70} - 10 q^{72} - 4 q^{73} + 51 q^{74} - 6 q^{76} - 30 q^{77} + 55 q^{78} - 87 q^{80} - 34 q^{81} - 4 q^{82} - 55 q^{84} - 14 q^{85} + 81 q^{86} + 9 q^{88} - 60 q^{89} + 41 q^{90} + 24 q^{92} + 30 q^{93} - 18 q^{94} - 29 q^{96} - 4 q^{97} + 57 q^{98}+O(q^{100}) $ 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 6 * q^12 - 4 * q^13 - 18 * q^14 - 2 * q^16 + 2 * q^18 - 6 * q^20 - 6 * q^21 - 6 * q^22 - 14 * q^24 + 30 * q^25 + 6 * q^26 - 24 * q^29 - 29 * q^30 + 10 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 - 45 * q^38 - 4 * q^40 - 12 * q^41 - 46 * q^42 + 57 * q^44 - 18 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 - 7 * q^52 + 23 * q^54 - 24 * q^56 - 28 * q^57 + 5 * q^58 - 19 * q^60 - 4 * q^61 - 8 * q^64 + 60 * q^66 - 12 * q^68 - 6 * q^69 - 27 * q^70 - 10 * q^72 - 4 * q^73 + 51 * q^74 - 6 * q^76 - 30 * q^77 + 55 * q^78 - 87 * q^80 - 34 * q^81 - 4 * q^82 - 55 * q^84 - 14 * q^85 + 81 * q^86 + 9 * q^88 - 60 * q^89 + 41 * q^90 + 24 * q^92 + 30 * q^93 - 18 * q^94 - 29 * q^96 - 4 * q^97 + 57 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{2}{3}\right)$	$-1$

Coefficient data

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

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

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

$2$	−1.08038	−	0.912567i	−0.763944	−	0.645282i
$2$	−1.08038	−	0.912567i	−0.763944	−	0.645282i
$3$	−1.05609	−	1.37284i	−0.609732	−	0.792608i
$3$	−1.05609	−	1.37284i	−0.609732	−	0.792608i
$4$	0.334444	+	1.97184i	0.167222	+	0.985919i
$5$	0.934343	+	0.539443i	0.417851	+	0.241246i	0.694157	−	0.719823i	$-0.255777\pi$
$5$	0.934343	+	0.539443i	0.417851	+	0.241246i	−0.276306	+	0.961070i	$0.589110\pi$
$6$	−0.111830	+	2.44694i	−0.0456546	+	0.998957i
$7$	0.423599	+	2.61162i	0.160105	+	0.987100i
$7$	0.423599	+	2.61162i	0.160105	+	0.987100i
$8$	1.43811	−	2.43554i	0.508448	−	0.861093i
$9$	−0.769364	+	2.89967i	−0.256455	+	0.966556i
$10$	−0.517168	−	1.43545i	−0.163543	−	0.453931i
$11$	0.626749	+	1.08556i	0.188972	+	0.327309i	0.944908	−	0.327337i	$-0.106151\pi$
$11$	0.626749	+	1.08556i	0.188972	+	0.327309i	−0.755936	+	0.654646i	$0.772818\pi$
$12$	2.35381	−	2.54157i	0.679487	−	0.733688i
$13$	2.30636	+	3.99474i	0.639670	+	1.10794i	0.985505	+	0.169646i	$0.0542625\pi$
$13$	2.30636	+	3.99474i	0.639670	+	1.10794i	−0.345835	+	0.938295i	$0.612404\pi$
$14$	1.92563	−	3.20811i	0.514646	−	0.857403i
$15$	−0.246179	−	1.85240i	−0.0635632	−	0.478288i
$16$	−3.77629	+	1.31894i	−0.944074	+	0.329735i
$17$	0.666743	+	0.384944i	0.161709	+	0.0933627i	0.578671	−	0.815561i	$-0.303572\pi$
$17$	0.666743	+	0.384944i	0.161709	+	0.0933627i	−0.416962	+	0.908924i	$0.636905\pi$
$18$	3.47735	−	2.43065i	0.819618	−	0.572910i
$19$	1.65017	−	0.952727i	0.378575	−	0.218571i	−0.298623	−	0.954371i	$-0.596527\pi$
$19$	1.65017	−	0.952727i	0.378575	−	0.218571i	0.677198	+	0.735801i	$0.263194\pi$
$20$	−0.751209	+	2.02279i	−0.167976	+	0.452309i
$21$	3.13797	−	3.33963i	0.684762	−	0.728767i
$22$	0.313519	−	1.74477i	0.0668425	−	0.371986i
$23$	4.07613	−	7.06006i	0.849931	−	1.47212i	−0.0313380	−	0.999509i	$-0.509977\pi$
$23$	4.07613	−	7.06006i	0.849931	−	1.47212i	0.881269	−	0.472615i	$-0.156690\pi$
$24$	−4.86236	+	0.597852i	−0.992526	+	0.122036i
$25$	−1.91800	−	3.32208i	−0.383600	−	0.664415i
$26$	1.15372	−	6.42055i	0.226262	−	1.25917i
$27$	4.79329	−	2.00609i	0.922469	−	0.386072i
$28$	−5.00802	+	1.70871i	−0.946428	+	0.322916i
$29$	2.72778	+	1.57488i	0.506535	+	0.292448i	0.731408	−	0.681940i	$-0.238863\pi$
$29$	2.72778	+	1.57488i	0.506535	+	0.292448i	−0.224873	+	0.974388i	$0.572197\pi$
$30$	−1.42447	+	2.22595i	−0.260072	+	0.406401i
$31$			9.41457i			1.69091i	0.534049	+	0.845453i	$0.320670\pi$
$31$			9.41457i			1.69091i	−0.534049	+	0.845453i	$0.679330\pi$
$32$	5.28346	+	2.02116i	0.933992	+	0.357295i
$33$	0.828397	−	2.00687i	0.144205	−	0.349351i
$34$	−0.369049	−	1.02433i	−0.0632913	−	0.175672i
$35$	−1.01303	+	2.66866i	−0.171234	+	0.451086i
$36$	−5.97499	−	0.547284i	−0.995831	−	0.0912139i
$37$	−0.910296	−	1.57668i	−0.149652	−	0.259204i	0.781447	−	0.623972i	$-0.214482\pi$
$37$	−0.910296	−	1.57668i	−0.149652	−	0.259204i	−0.931099	+	0.364767i	$0.881149\pi$
$38$	−2.65224	−	0.476584i	−0.430250	−	0.0773121i
$39$	3.04841	−	7.38505i	0.488136	−	1.18255i
$40$	2.65752	−	1.49985i	0.420191	−	0.237147i
$41$	−7.58055	+	4.37663i	−1.18388	+	0.683515i	−0.956910	−	0.290386i	$-0.906216\pi$
$41$	−7.58055	+	4.37663i	−1.18388	+	0.683515i	−0.226973	+	0.973901i	$0.572883\pi$
$42$	−6.43784	+	0.744461i	−0.993380	+	0.114873i
$43$	6.74516	+	3.89432i	1.02863	+	0.593878i	0.916591	−	0.399826i	$-0.130930\pi$
$43$	6.74516	+	3.89432i	1.02863	+	0.593878i	0.112036	+	0.993704i	$0.464263\pi$
$44$	−1.93094	+	1.59891i	−0.291100	+	0.241044i
$45$	−2.28306	+	2.29426i	−0.340338	+	0.342008i
$46$	−10.8465	+	3.90781i	−1.59924	+	0.576175i
$47$	−1.93918			−0.282858			−0.141429	−	0.989948i	$-0.545170\pi$
$47$	−1.93918			−0.282858			−0.141429	+	0.989948i	$0.545170\pi$
$48$	5.79878	+	3.79132i	0.836982	+	0.547230i
$49$	−6.64113	+	2.21256i	−0.948733	+	0.316080i
$50$	−0.959445	+	5.33941i	−0.135686	+	0.755107i
$51$	−0.175672	−	1.32186i	−0.0245990	−	0.185098i
$52$	−7.10563	+	5.88380i	−0.985374	+	0.815936i
$53$	5.05897	+	2.92080i	0.694903	+	0.401202i	0.805446	−	0.592669i	$-0.201926\pi$
$53$	5.05897	+	2.92080i	0.694903	+	0.401202i	−0.110543	+	0.993871i	$0.535259\pi$
$54$	−7.00926	−	2.20685i	−0.953840	−	0.300315i
$55$			1.35238i			0.182355i
$56$	6.96988	+	2.72410i	0.931390	+	0.364023i
$57$	−3.05066	−	1.25925i	−0.404070	−	0.166792i
$58$	−1.50985	−	4.19075i	−0.198253	−	0.550272i
$59$	−8.02424			−1.04467			−0.522334	−	0.852741i	$-0.674938\pi$
$59$	−8.02424			−1.04467			−0.522334	+	0.852741i	$0.674938\pi$
$60$	3.57030	−	1.10495i	0.460924	−	0.142648i
$61$	11.2826			1.44459			0.722296	−	0.691584i	$-0.243087\pi$
$61$	11.2826			1.44459			0.722296	+	0.691584i	$0.243087\pi$
$62$	8.59142	−	10.1713i	1.09111	−	1.29176i
$63$	−7.89874	−	0.780989i	−0.995147	−	0.0983953i
$64$	−3.86370	−	7.00513i	−0.482962	−	0.875641i
$65$			4.97661i			0.617273i
$66$	−2.72639	+	1.41222i	−0.335595	+	0.173832i
$67$			5.37252i			0.656358i	0.944616	+	0.328179i	$0.106435\pi$
$67$			5.37252i			0.656358i	−0.944616	+	0.328179i	$0.893565\pi$
$68$	−0.536059	+	1.44345i	−0.0650068	+	0.175044i
$69$	−13.9971	+	1.86017i	−1.68505	+	0.223938i
$70$	3.52979	−	1.95870i	0.421891	−	0.234110i
$71$	−6.05128			−0.718155			−0.359077	−	0.933308i	$-0.616909\pi$
$71$	−6.05128			−0.718155			−0.359077	+	0.933308i	$0.616909\pi$
$72$	5.95583	+	6.04385i	0.701901	+	0.712274i
$73$	4.18885	−	7.25531i	0.490268	−	0.849169i	−0.509669	−	0.860371i	$-0.670232\pi$
$73$	4.18885	−	7.25531i	0.490268	−	0.849169i	0.999937	+	0.0112011i	$0.00356548\pi$
$74$	−0.455359	+	2.53412i	−0.0529344	+	0.294585i
$75$	−2.53509	+	6.14150i	−0.292728	+	0.709160i
$76$	2.43051	+	2.93524i	0.278799	+	0.336695i
$77$	−2.56958	+	2.09667i	−0.292831	+	0.238938i
$78$	−10.0328	+	5.19679i	−1.13599	+	0.588421i
$79$		−	13.2578i		−	1.49162i	−0.666158	−	0.745811i	$-0.732062\pi$
$79$		−	13.2578i		−	1.49162i	0.666158	−	0.745811i	$-0.267938\pi$
$80$	−4.23985	−	0.804754i	−0.474029	−	0.0899743i
$81$	−7.81616	−	4.46180i	−0.868462	−	0.495756i
$82$	12.1838	+	2.18933i	1.34548	+	0.241771i
$83$	1.69976	−	2.94408i	0.186573	−	0.323155i	−0.757532	−	0.652798i	$-0.773595\pi$
$83$	1.69976	−	2.94408i	0.186573	−	0.323155i	0.944106	+	0.329643i	$0.106928\pi$
$84$	7.63469	+	5.07066i	0.833013	+	0.553254i
$85$	0.415311	+	0.719340i	0.0450468	+	0.0780234i
$86$	−3.73351	−	10.3627i	−0.402595	−	1.11744i
$87$	−0.718710	−	5.40800i	−0.0770538	−	0.579799i
$88$	3.54526	+	0.0346819i	0.377926	+	0.00369710i
$89$	−1.43369	+	0.827739i	−0.151970	+	0.0877401i	−0.574057	−	0.818815i	$-0.694631\pi$
$89$	−1.43369	+	0.827739i	−0.151970	+	0.0877401i	0.422087	+	0.906556i	$0.361298\pi$
$90$	4.56023	−	0.395230i	0.480691	−	0.0416609i
$91$	−9.45577	+	7.71552i	−0.991234	+	0.808806i
$92$	15.2845	+	5.67627i	1.59352	+	0.591792i
$93$	12.9247	−	9.94260i	1.34023	−	1.03100i
$94$	2.09505	+	1.76963i	0.216088	+	0.182523i
$95$	2.05577			0.210917
$96$	−2.80506	−	9.38785i	−0.286290	−	0.958143i
$97$	0.231659	−	0.401245i	0.0235214	−	0.0407403i	−0.854025	−	0.520232i	$-0.825846\pi$
$97$	0.231659	−	0.401245i	0.0235214	−	0.0407403i	0.877547	+	0.479492i	$0.159179\pi$
$98$	9.19405	+	3.67006i	0.928740	+	0.370732i
$99$	−3.62996	+	0.982173i	−0.364825	+	0.0987121i
$100$	5.90913	−	4.89304i	0.590913	−	0.489304i
$101$	−8.39846	+	4.84885i	−0.835678	+	0.482479i	−0.855793	−	0.517319i	$-0.826930\pi$
$101$	−8.39846	+	4.84885i	−0.835678	+	0.482479i	0.0201147	+	0.999798i	$0.493597\pi$
$102$	−1.01650	+	1.58843i	−0.100648	+	0.157278i
$103$	−5.55003	−	3.20431i	−0.546860	−	0.315730i	0.200994	−	0.979592i	$-0.435583\pi$
$103$	−5.55003	−	3.20431i	−0.546860	−	0.315730i	−0.747855	+	0.663862i	$0.768916\pi$
$104$	13.0461	+	0.127625i	1.27928	+	0.0125147i
$105$	4.73348	−	1.42760i	0.461941	−	0.139320i
$106$	−2.80019	−	7.77222i	−0.271978	−	0.754904i
$107$	−0.711863	−	1.23298i	−0.0688184	−	0.119197i	0.829563	−	0.558413i	$-0.188590\pi$
$107$	−0.711863	−	1.23298i	−0.0688184	−	0.119197i	−0.898381	+	0.439216i	$0.855256\pi$
$108$	5.55877	+	8.78066i	0.534893	+	0.844920i
$109$	5.77949	−	10.0104i	0.553575	−	0.958820i	−0.444438	−	0.895810i	$-0.646597\pi$
$109$	5.77949	−	10.0104i	0.553575	−	0.958820i	0.998013	−	0.0630100i	$-0.0200700\pi$
$110$	1.23414	−	1.46109i	0.117670	−	0.139309i
$111$	−1.20317	+	2.91480i	−0.114200	+	0.276660i
$112$	−5.04421	−	9.30355i	−0.476633	−	0.879103i
$113$	0.841153	−	0.485640i	0.0791290	−	0.0456851i	−0.459913	−	0.887964i	$-0.652120\pi$
$113$	0.841153	−	0.485640i	0.0791290	−	0.0456851i	0.539042	+	0.842279i	$0.318786\pi$
$114$	2.14672	+	4.14441i	0.201059	+	0.388159i
$115$	7.61700	−	4.39768i	0.710289	−	0.410086i
$116$	−2.19313	+	5.90544i	−0.203627	+	0.548307i
$117$	−13.3579	+	3.61428i	−1.23493	+	0.334141i
$118$	8.66924	+	7.32266i	0.798068	+	0.674105i
$119$	−0.722897	+	1.90434i	−0.0662678	+	0.174571i
$120$	−4.86562	−	2.06437i	−0.444169	−	0.188450i
$121$	4.71437	−	8.16553i	0.428579	−	0.742321i
$122$	−12.1895	−	10.2961i	−1.10359	−	0.932169i
$123$	14.0141	+	5.78476i	1.26361	+	0.521594i
$124$	−18.5640	+	3.14865i	−1.66710	+	0.282757i
$125$		−	9.53305i		−	0.852662i
$126$	7.82094	+	8.05189i	0.696745	+	0.717319i
$127$			2.62932i			0.233315i	0.993172	+	0.116657i	$0.0372179\pi$
$127$			2.62932i			0.233315i	−0.993172	+	0.116657i	$0.962782\pi$
$128$	−2.21839	+	11.0941i	−0.196080	+	0.980588i
$129$	−1.77720	−	13.3727i	−0.156474	−	1.17740i
$130$	4.54149	−	5.37663i	0.398315	−	0.471562i
$131$	−7.99650	+	13.8503i	−0.698657	+	1.21011i	0.270275	+	0.962783i	$0.412885\pi$
$131$	−7.99650	+	13.8503i	−0.698657	+	1.21011i	−0.968932	+	0.247327i	$0.920448\pi$
$132$	4.23428	+	0.962280i	0.368546	+	0.0837557i
$133$	3.18717	+	3.90605i	0.276363	+	0.338697i
$134$	4.90278	−	5.80437i	0.423536	−	0.501421i
$135$	5.56075	+	0.711331i	0.478593	+	0.0612216i
$136$	1.89639	−	1.07029i	0.162614	−	0.0917763i
$137$	15.3024	−	8.83485i	1.30737	−	0.754812i	0.325716	−	0.945468i	$-0.394395\pi$
$137$	15.3024	−	8.83485i	1.30737	−	0.754812i	0.981657	+	0.190655i	$0.0610613\pi$
$138$	16.8197	+	10.7635i	1.43179	+	0.916254i
$139$	−4.19947	+	2.42457i	−0.356194	+	0.205649i	−0.667410	−	0.744690i	$-0.732597\pi$
$139$	−4.19947	+	2.42457i	−0.356194	+	0.205649i	0.311216	+	0.950339i	$0.399264\pi$
$140$	−5.60097	−	1.10502i	−0.473368	−	0.0933915i
$141$	2.04794	+	2.66218i	0.172468	+	0.224196i
$142$	6.53768	+	5.52220i	0.548630	+	0.463412i
$143$	−2.89102	+	5.00740i	−0.241759	+	0.418740i
$144$	−0.919145	−	11.9647i	−0.0765954	−	0.997062i
$145$	1.69912	+	2.94296i	0.141104	+	0.244400i
$146$	−11.1465	+	4.01588i	−0.922492	+	0.332357i
$147$	10.0511	+	6.78053i	0.829000	+	0.559249i
$148$	2.80451	−	2.32227i	0.230530	−	0.190889i
$149$	−16.6556	−	9.61614i	−1.36448	−	0.787785i	−0.374266	−	0.927321i	$-0.622105\pi$
$149$	−16.6556	−	9.61614i	−1.36448	−	0.787785i	−0.990217	+	0.139537i	$0.955439\pi$
$150$	8.34340	−	4.32172i	0.681236	−	0.352867i
$151$	4.75447	−	2.74500i	0.386913	−	0.223385i	−0.293908	−	0.955834i	$-0.594956\pi$
$151$	4.75447	−	2.74500i	0.386913	−	0.223385i	0.680822	+	0.732449i	$0.261623\pi$
$152$	0.0527203	−	5.38918i	0.00427618	−	0.437120i
$153$	−1.62918	+	1.63717i	−0.131711	+	0.132357i
$154$	4.68948	+	0.0797112i	0.377889	+	0.00642331i
$155$	−5.07863	+	8.79644i	−0.407925	+	0.706547i
$156$	15.5817	+	3.54108i	1.24753	+	0.283513i
$157$	5.08597			0.405905			0.202952	−	0.979189i	$-0.434946\pi$
$157$	5.08597			0.405905			0.202952	+	0.979189i	$0.434946\pi$
$158$	−12.0986	+	14.3235i	−0.962517	+	1.13952i
$159$	−1.33293	−	10.0298i	−0.105708	−	0.795411i
$160$	3.84626	+	4.73858i	0.304073	+	0.374618i
$161$	20.1648	+	7.65466i	1.58921	+	0.603272i
$162$	4.37274	+	11.9532i	0.343555	+	0.939133i
$163$	−1.83036	+	1.05676i	−0.143365	+	0.0827716i	−0.569967	−	0.821668i	$-0.693044\pi$
$163$	−1.83036	+	1.05676i	−0.143365	+	0.0827716i	0.426602	+	0.904439i	$0.359711\pi$
$164$	−11.1653	−	13.4839i	−0.871862	−	1.05291i
$165$	1.85660	−	1.42823i	0.144536	−	0.111188i
$166$	−4.52306	+	1.62958i	−0.351058	+	0.126480i
$167$	−10.6487	−	18.4441i	−0.824023	−	1.42725i	−0.902664	−	0.430346i	$-0.858391\pi$
$167$	−10.6487	−	18.4441i	−0.824023	−	1.42725i	0.0786412	−	0.996903i	$-0.474942\pi$
$168$	−3.62106	−	12.4454i	−0.279370	−	0.960183i
$169$	−4.13863	+	7.16832i	−0.318356	+	0.551409i
$170$	0.207752	−	1.15616i	0.0159338	−	0.0886734i
$171$	1.49301	+	5.51794i	0.114173	+	0.421968i
$172$	−5.42309	+	14.6028i	−0.413506	+	1.11345i
$173$			8.38090i			0.637188i	0.947891	+	0.318594i	$0.103211\pi$
$173$			8.38090i			0.637188i	−0.947891	+	0.318594i	$0.896789\pi$
$174$	−4.15868	+	6.49857i	−0.315269	+	0.492656i
$175$	7.86354	−	6.41632i	0.594428	−	0.485028i
$176$	−3.79858	−	3.27275i	−0.286328	−	0.246693i
$177$	8.47429	+	11.0160i	0.636967	+	0.828012i
$178$	2.30429	+	0.414061i	0.172714	+	0.0310352i
$179$	2.51343	−	4.35339i	0.187863	−	0.325388i	−0.756675	−	0.653792i	$-0.773177\pi$
$179$	2.51343	−	4.35339i	0.187863	−	0.325388i	0.944537	+	0.328404i	$0.106511\pi$
$180$	−5.28746	−	3.73452i	−0.394104	−	0.278355i
$181$	5.01417			0.372701			0.186350	−	0.982483i	$-0.440334\pi$
$181$	5.01417			0.372701			0.186350	+	0.982483i	$0.440334\pi$
$182$	17.2568	+	0.293328i	1.27916	+	0.0217429i
$183$	−11.9154	−	15.4892i	−0.880813	−	1.14499i
$184$	−11.3331	−	20.0807i	−0.835490	−	1.48037i
$185$		−	1.96421i		−	0.144412i
$186$	−23.0368	−	1.05284i	−1.68914	−	0.0771976i
$187$			0.965053i			0.0705717i
$188$	−0.648547	−	3.82375i	−0.0473001	−	0.278875i
$189$	7.26958	+	11.6685i	0.528784	+	0.848756i
$190$	−2.22101	−	1.87603i	−0.161129	−	0.136101i
$191$	0.367628			0.0266006			0.0133003	−	0.999912i	$-0.495766\pi$
$191$	0.367628			0.0266006			0.0133003	+	0.999912i	$0.495766\pi$
$192$	−5.53651	+	12.7022i	−0.399563	+	0.916706i
$193$	−27.6030			−1.98691			−0.993453	−	0.114241i	$-0.963556\pi$
$193$	−27.6030			−1.98691			−0.993453	+	0.114241i	$0.963556\pi$
$194$	−0.616443	+	0.222093i	−0.0442580	+	0.0159454i
$195$	6.83208	−	5.25573i	0.489255	−	0.376371i
$196$	−6.58390	−	12.3553i	−0.470278	−	0.882518i
$197$		−	25.2317i		−	1.79768i	−0.438273	−	0.898842i	$-0.644410\pi$
$197$		−	25.2317i		−	1.79768i	0.438273	−	0.898842i	$-0.355590\pi$
$198$	4.81804	+	2.25146i	0.342403	+	0.160005i
$199$	−7.57359	−	4.37261i	−0.536877	−	0.309966i	0.206935	−	0.978355i	$-0.433651\pi$
$199$	−7.57359	−	4.37261i	−0.536877	−	0.309966i	−0.743812	+	0.668388i	$0.766984\pi$
$200$	−10.8493	−	0.106135i	−0.767164	−	0.00750487i
$201$	7.37560	−	5.67385i	0.520235	−	0.400202i
$202$	13.4984	+	2.42555i	0.949747	+	0.170661i
$203$	−2.95751	+	7.79104i	−0.207577	+	0.546824i
$204$	2.54775	−	0.788487i	0.178378	−	0.0552051i
$205$	−9.44378			−0.659582
$206$	3.07200	+	8.52664i	0.214036	+	0.594079i
$207$	17.3358	+	17.2512i	1.20492	+	1.19904i
$208$	−13.9783	−	12.0434i	−0.969223	−	0.835057i
$209$	2.06849	+	1.19424i	0.143080	+	0.0826074i
$210$	−6.41675	−	2.77727i	−0.442798	−	0.191650i
$211$	15.5708	−	8.98980i	1.07194	−	0.618883i	0.143227	−	0.989690i	$-0.454252\pi$
$211$	15.5708	−	8.98980i	1.07194	−	0.618883i	0.928710	+	0.370807i	$0.120919\pi$
$212$	−4.06740	+	10.9523i	−0.279350	+	0.752208i
$213$	6.39067	+	8.30742i	0.437882	+	0.569215i
$214$	−0.356096	+	1.98171i	−0.0243422	+	0.135467i
$215$	4.20153	+	7.27726i	0.286542	+	0.496305i
$216$	2.00735	−	14.5592i	0.136583	−	0.990629i
$217$	−24.5873	+	3.98800i	−1.66909	+	0.270723i
$218$	−15.3792	+	5.54084i	−1.04161	+	0.375273i
$219$	−14.3841	+	1.91162i	−0.971991	+	0.129175i
$220$	−2.66668	+	0.452296i	−0.179787	+	0.0304938i
$221$			3.55129i			0.238885i
$222$	3.95983	−	2.05112i	0.265766	−	0.137662i
$223$	−16.8987	−	9.75646i	−1.13162	−	0.653341i	−0.187278	−	0.982307i	$-0.559966\pi$
$223$	−16.8987	−	9.75646i	−1.13162	−	0.653341i	−0.944342	+	0.328966i	$0.893300\pi$
$224$	−3.04045	+	14.6545i	−0.203148	+	0.979148i
$225$	11.1086	−	3.00569i	0.740571	−	0.200379i
$226$	−1.35194	−	0.242932i	−0.0899299	−	0.0161596i
$227$	−1.12311	−	1.94528i	−0.0745433	−	0.129113i	0.826344	−	0.563165i	$-0.190417\pi$
$227$	−1.12311	−	1.94528i	−0.0745433	−	0.129113i	−0.900888	+	0.434053i	$0.857083\pi$
$228$	1.46277	−	6.43656i	0.0968744	−	0.426272i
$229$	−5.60423	+	9.70681i	−0.370338	+	0.641444i	−0.989617	−	0.143727i	$-0.954091\pi$
$229$	−5.60423	+	9.70681i	−0.370338	+	0.641444i	0.619280	+	0.785171i	$0.287425\pi$
$230$	−12.2424	−	2.19986i	−0.807242	−	0.145054i
$231$	5.59209	+	1.31335i	0.367933	+	0.0864122i
$232$	7.75852	−	4.37875i	0.509372	−	0.287479i
$233$	−19.7191	+	11.3848i	−1.29184	+	0.745846i	−0.978981	−	0.203952i	$-0.934621\pi$
$233$	−19.7191	+	11.3848i	−1.29184	+	0.745846i	−0.312863	+	0.949798i	$0.601288\pi$
$234$	17.7298	+	8.28513i	1.15904	+	0.541616i
$235$	−1.81186	−	1.04608i	−0.118193	−	0.0682385i
$236$	−2.68366	−	15.8225i	−0.174691	−	1.02996i
$237$	−18.2008	+	14.0014i	−1.18227	+	0.909489i
$238$	2.51884	−	1.39772i	0.163272	−	0.0906009i
$239$	8.80139	+	15.2444i	0.569314	+	0.986081i	0.996634	+	0.0819808i	$0.0261246\pi$
$239$	8.80139	+	15.2444i	0.569314	+	0.986081i	−0.427319	+	0.904101i	$0.640542\pi$
$240$	3.37285	+	6.67051i	0.217716	+	0.430580i
$241$	11.9075	+	20.6243i	0.767027	+	1.32853i	0.939168	+	0.343458i	$0.111598\pi$
$241$	11.9075	+	20.6243i	0.767027	+	1.32853i	−0.172141	+	0.985072i	$0.555068\pi$
$242$	−12.5449	+	4.51970i	−0.806417	+	0.290537i
$243$	2.12921	+	15.4424i	0.136589	+	0.990628i
$244$	3.77341	+	22.2475i	0.241568	+	1.42425i
$245$	−7.39864	−	1.51522i	−0.472682	−	0.0968039i
$246$	−9.86160	−	19.0386i	−0.628753	−	1.21385i
$247$	7.61179	+	4.39467i	0.484327	+	0.279626i
$248$	22.9295	+	13.5392i	1.45603	+	0.859738i
$249$	−5.83684	+	0.775701i	−0.369895	+	0.0491581i
$250$	−8.69954	+	10.2993i	−0.550207	+	0.651386i
$251$	21.3912			1.35020			0.675102	−	0.737725i	$-0.264100\pi$
$251$	21.3912			1.35020			0.675102	+	0.737725i	$0.264100\pi$
$252$	−1.10170	−	15.8362i	−0.0694007	−	0.997589i
$253$	10.2188			0.642452
$254$	2.39943	−	2.84067i	0.150554	−	0.178239i
$255$	0.548932	−	1.32984i	0.0343755	−	0.0832778i
$256$	12.5208	−	9.96141i	0.782550	−	0.622588i
$257$	13.9483	+	8.05308i	0.870073	+	0.502337i	0.867373	−	0.497659i	$-0.165807\pi$
$257$	13.9483	+	8.05308i	0.870073	+	0.502337i	0.00270079	+	0.999996i	$0.499140\pi$
$258$	−10.2835	+	16.0695i	−0.640220	+	1.00044i
$259$	3.73209	−	3.04523i	0.231901	−	0.189221i
$260$	−9.81307	+	1.66440i	−0.608581	+	0.103222i
$261$	−6.66529	+	6.69799i	−0.412571	+	0.414595i
$262$	21.2786	−	7.66630i	1.31460	−	0.473626i
$263$	−14.7004	−	25.4619i	−0.906468	−	1.57005i	−0.818934	−	0.573888i	$-0.805435\pi$
$263$	−14.7004	−	25.4619i	−0.906468	−	1.57005i	−0.0875345	−	0.996161i	$-0.527899\pi$
$264$	−3.69648	−	4.90369i	−0.227503	−	0.301801i
$265$	3.15121	+	5.45805i	0.193577	+	0.335285i
$266$	0.121170	−	7.12853i	0.00742939	−	0.437078i
$267$	2.65045	+	1.09405i	0.162205	+	0.0669550i
$268$	−10.5937	+	1.79681i	−0.647116	+	0.109758i
$269$	−16.5284	−	9.54267i	−1.00775	−	0.581827i	−0.0972207	−	0.995263i	$-0.530995\pi$
$269$	−16.5284	−	9.54267i	−1.00775	−	0.581827i	−0.910533	+	0.413436i	$0.864329\pi$
$270$	−5.35859	−	5.84306i	−0.326113	−	0.355597i
$271$	1.84547	−	1.06548i	0.112104	−	0.0647233i	−0.442900	−	0.896571i	$-0.646050\pi$
$271$	1.84547	−	1.06548i	0.112104	−	0.0647233i	0.555004	+	0.831848i	$0.312717\pi$
$272$	−3.02554	−	0.574269i	−0.183450	−	0.0348202i
$273$	20.5783	+	4.83298i	1.24545	+	0.292505i
$274$	−24.5948	−	4.41947i	−1.48583	−	0.266990i
$275$	2.40421	−	4.16421i	0.144979	−	0.251112i
$276$	−8.34919	−	26.9778i	−0.502562	−	1.62387i
$277$	0.341219	+	0.591009i	0.0205019	+	0.0355103i	0.876094	−	0.482140i	$-0.160140\pi$
$277$	0.341219	+	0.591009i	0.0205019	+	0.0355103i	−0.855592	+	0.517650i	$0.826807\pi$
$278$	6.74960	+	1.21284i	0.404814	+	0.0727415i
$279$	−27.2991	−	7.24323i	−1.63436	−	0.433641i
$280$	5.04277	+	6.30510i	0.301363	+	0.376802i
$281$	−7.86108	−	4.53860i	−0.468953	−	0.270750i	0.246848	−	0.969054i	$-0.420605\pi$
$281$	−7.86108	−	4.53860i	−0.468953	−	0.270750i	−0.715801	+	0.698304i	$0.753938\pi$
$282$	0.216859	−	4.74504i	0.0129138	−	0.282563i
$283$			3.76675i			0.223910i	0.993713	+	0.111955i	$0.0357113\pi$
$283$			3.76675i			0.223910i	−0.993713	+	0.111955i	$0.964289\pi$
$284$	−2.02382	−	11.9321i	−0.120091	−	0.708043i
$285$	−2.17107	−	2.82224i	−0.128603	−	0.167175i
$286$	7.69299	−	2.77164i	0.454896	−	0.163891i
$287$	−14.6412	−	17.9436i	−0.864244	−	1.05918i
$288$	−9.92560	+	13.7653i	−0.584872	+	0.811126i
$289$	−8.20364	−	14.2091i	−0.482567	−	0.835830i
$290$	0.849953	−	4.73008i	0.0499109	−	0.277760i
$291$	−0.795497	+	0.105719i	−0.0466328	+	0.00619739i
$292$	15.7072	+	5.83325i	0.919196	+	0.341365i
$293$	18.0157	−	10.4014i	1.05249	−	0.607654i	0.129143	−	0.991626i	$-0.458778\pi$
$293$	18.0157	−	10.4014i	1.05249	−	0.607654i	0.923345	+	0.383972i	$0.125444\pi$
$294$	−4.67131	−	16.4978i	−0.272437	−	0.962174i
$295$	−7.49740	−	4.32862i	−0.436515	−	0.252022i
$296$	−5.14917	−	0.0503723i	−0.299289	−	0.00292783i
$297$	5.18192	+	3.94609i	0.300685	+	0.228975i
$298$	9.21906	+	25.5885i	0.534046	+	1.48230i
$299$	37.6041			2.17470
$300$	−12.9579	−	2.94481i	−0.748125	−	0.170019i
$301$	−7.31324	+	19.2654i	−0.421528	+	1.11044i
$302$	−7.64163	−	1.37313i	−0.439726	−	0.0790149i
$303$	15.5262	+	6.40891i	0.891956	+	0.368182i
$304$	−4.97494	+	5.77425i	−0.285333	+	0.331176i
$305$	10.5418	+	6.08634i	0.603624	+	0.348503i
$306$	3.25416	−	0.282034i	0.186028	−	0.0161228i
$307$		−	21.4356i		−	1.22339i	−0.791093	−	0.611696i	$-0.790487\pi$
$307$		−	21.4356i		−	1.22339i	0.791093	−	0.611696i	$-0.209513\pi$
$308$	−4.99368	−	4.36558i	−0.284541	−	0.248752i
$309$	1.46231	+	11.0033i	0.0831880	+	0.625957i
$310$	13.5142	−	4.86892i	0.767554	−	0.276536i
$311$	30.3119			1.71883			0.859416	−	0.511277i	$-0.170827\pi$
$311$	30.3119			1.71883			0.859416	+	0.511277i	$0.170827\pi$
$312$	−13.6026	−	18.0450i	−0.770098	−	1.02160i
$313$	24.4665			1.38293			0.691465	−	0.722410i	$-0.256966\pi$
$313$	24.4665			1.38293			0.691465	+	0.722410i	$0.256966\pi$
$314$	−5.49478	−	4.64129i	−0.310089	−	0.261923i
$315$	−6.95883	−	4.99063i	−0.392086	−	0.281190i
$316$	26.1423	−	4.43400i	1.47062	−	0.249432i
$317$			14.5384i			0.816556i	0.912858	+	0.408278i	$0.133871\pi$
$317$			14.5384i			0.816556i	−0.912858	+	0.408278i	$0.866129\pi$
$318$	−7.71275	+	12.0523i	−0.432509	+	0.675861i
$319$			3.94822i			0.221058i
$320$	0.168853	−	8.62944i	0.00943918	−	0.482400i
$321$	−0.940896	+	2.27941i	−0.0525157	+	0.127224i
$322$	−14.8003	−	26.6717i	−0.824789	−	1.48636i
$323$	1.46699			0.0816253
$324$	6.18388	−	16.9044i	0.343549	−	0.939135i
$325$	8.84722	−	15.3238i	0.490756	−	0.850014i
$326$	2.94184	+	0.528623i	0.162934	+	0.0292777i
$327$	−19.8462	+	2.63752i	−1.09750	+	0.145855i
$328$	−0.242186	+	24.7568i	−0.0133725	+	1.36696i
$329$	−0.821434	−	5.06440i	−0.0452871	−	0.279209i
$330$	−3.30919	−	0.151237i	−0.182165	−	0.00832534i
$331$			14.8461i			0.816018i	0.912978	+	0.408009i	$0.133777\pi$
$331$			14.8461i			0.816018i	−0.912978	+	0.408009i	$0.866223\pi$
$332$	6.37372	+	2.36703i	0.349804	+	0.129908i
$333$	5.27220	−	1.42652i	0.288915	−	0.0781727i
$334$	−5.32682	+	29.6443i	−0.291471	+	1.62207i
$335$	−2.89817	+	5.01978i	−0.158344	+	0.274260i
$336$	−7.44514	+	16.7502i	−0.406166	+	0.913799i
$337$	−6.10410	−	10.5726i	−0.332511	−	0.575926i	0.650492	−	0.759513i	$-0.274563\pi$
$337$	−6.10410	−	10.5726i	−0.332511	−	0.575926i	−0.983004	+	0.183586i	$0.941229\pi$
$338$	11.0129	−	3.96774i	0.599021	−	0.215816i
$339$	−1.55503	−	0.641888i	−0.0844578	−	0.0348626i
$340$	−1.27952	+	1.05951i	−0.0693919	+	0.0574598i
$341$	−10.2201	+	5.90057i	−0.553449	+	0.319534i
$342$	3.42247	−	7.32395i	0.185066	−	0.396034i
$343$	−8.59155	−	16.4069i	−0.463900	−	0.885888i
$344$	19.1850	−	10.8276i	1.03439	−	0.583787i
$345$	−14.0815	−	5.81258i	−0.758123	−	0.312939i
$346$	7.64813	−	9.05456i	0.411166	−	0.486776i
$347$	25.8650			1.38851			0.694253	−	0.719731i	$-0.255735\pi$
$347$	25.8650			1.38851			0.694253	+	0.719731i	$0.255735\pi$
$348$	10.4233	−	3.22586i	0.558750	−	0.172924i
$349$	8.56598	−	14.8367i	0.458527	−	0.794191i	−0.540357	−	0.841436i	$-0.681711\pi$
$349$	8.56598	−	14.8367i	0.458527	−	0.794191i	0.998883	+	0.0472447i	$0.0150441\pi$
$350$	−14.3509	−	0.243935i	−0.767090	−	0.0130389i
$351$	19.0689	+	14.5212i	1.01782	+	0.775082i
$352$	1.11730	+	7.00227i	0.0595525	+	0.373222i
$353$	−1.14334	+	0.660109i	−0.0608540	+	0.0351340i	−0.530118	−	0.847924i	$-0.677852\pi$
$353$	−1.14334	+	0.660109i	−0.0608540	+	0.0351340i	0.469264	+	0.883058i	$0.344519\pi$
$354$	0.897354	−	19.6348i	0.0476938	−	1.04358i
$355$	−5.65397	−	3.26432i	−0.300082	−	0.173252i
$356$	−2.11165	−	2.55016i	−0.111917	−	0.135158i
$357$	3.37779	−	1.01873i	0.178772	−	0.0539169i
$358$	−6.68823	+	2.40965i	−0.353484	+	0.127354i
$359$	12.1895	+	21.1128i	0.643335	+	1.11429i	0.984683	+	0.174352i	$0.0557832\pi$
$359$	12.1895	+	21.1128i	0.643335	+	1.11429i	−0.341348	+	0.939937i	$0.610883\pi$
$360$	2.30447	+	8.85986i	0.121456	+	0.466956i
$361$	−7.68462	+	13.3102i	−0.404454	+	0.700535i
$362$	−5.41722	−	4.57577i	−0.284723	−	0.240497i
$363$	−16.1887	+	2.15144i	−0.849688	+	0.112921i
$364$	−18.3762	−	16.0648i	−0.963174	−	0.842027i
$365$	7.82765	−	4.51930i	0.409718	−	0.236551i
$366$	−1.26174	+	27.6079i	−0.0659522	+	1.44309i
$367$	15.0749	−	8.70351i	0.786904	−	0.454319i	−0.0519673	−	0.998649i	$-0.516549\pi$
$367$	15.0749	−	8.70351i	0.786904	−	0.454319i	0.838872	+	0.544329i	$0.183216\pi$
$368$	−6.08086	+	32.0370i	−0.316987	+	1.67005i
$369$	−6.85858	−	25.3483i	−0.357044	−	1.31958i
$370$	−1.79248	+	2.12210i	−0.0931863	+	0.110323i
$371$	−5.48504	+	14.4494i	−0.284769	+	0.750173i
$372$	23.9278	+	22.1601i	1.24060	+	1.14895i
$373$	12.4257	−	21.5220i	0.643381	−	1.11437i	−0.341292	−	0.939957i	$-0.610865\pi$
$373$	12.4257	−	21.5220i	0.643381	−	1.11437i	0.984673	−	0.174411i	$-0.0558020\pi$
$374$	0.880675	−	1.04262i	0.0455386	−	0.0539128i
$375$	−13.0873	+	10.0677i	−0.675826	+	0.519895i
$376$	−2.78875	+	4.72294i	−0.143819	+	0.243567i
$377$			14.5290i			0.748282i
$378$	2.79435	−	19.2404i	0.143726	−	0.989618i
$379$			12.9282i			0.664079i	0.943266	+	0.332039i	$0.107737\pi$
$379$			12.9282i			0.664079i	−0.943266	+	0.332039i	$0.892263\pi$
$380$	0.687540	+	4.05364i	0.0352700	+	0.207948i
$381$	3.60963	−	2.77679i	0.184927	−	0.142259i
$382$	−0.397178	−	0.335485i	−0.0203214	−	0.0171649i
$383$	2.36832	−	4.10205i	0.121015	−	0.209605i	−0.799153	−	0.601128i	$-0.794718\pi$
$383$	2.36832	−	4.10205i	0.121015	−	0.209605i	0.920168	+	0.391523i	$0.128052\pi$
$384$	17.5732	−	8.67083i	0.896778	−	0.442481i
$385$	−3.53191	+	0.572868i	−0.180003	+	0.0291960i
$386$	29.8217	+	25.1896i	1.51789	+	1.28211i
$387$	−16.4817	+	16.5626i	−0.837812	+	0.841923i
$388$	0.868668	+	0.322600i	0.0440999	+	0.0163775i
$389$	27.5916	−	15.9300i	1.39895	−	0.807684i	0.404668	−	0.914464i	$-0.367387\pi$
$389$	27.5916	−	15.9300i	1.39895	−	0.807684i	0.994283	+	0.106780i	$0.0340539\pi$
$390$	−12.1774	−	0.556536i	−0.616629	−	0.0281813i
$391$	5.43546	−	3.13816i	0.274883	−	0.158704i
$392$	−4.16188	+	19.3566i	−0.210206	+	0.977657i
$393$	27.4593	−	3.64927i	1.38514	−	0.184081i
$394$	−23.0256	+	27.2598i	−1.16001	+	1.37333i
$395$	7.15184	−	12.3874i	0.359848	−	0.623276i
$396$	−3.15071	−	6.82922i	−0.158329	−	0.343181i
$397$	0.609004	+	1.05483i	0.0305650	+	0.0529402i	0.880903	−	0.473296i	$-0.156936\pi$
$397$	0.609004	+	1.05483i	0.0305650	+	0.0529402i	−0.850338	+	0.526236i	$0.823603\pi$
$398$	4.19205	+	11.6355i	0.210129	+	0.583234i
$399$	1.99644	−	8.50059i	0.0999469	−	0.425562i
$400$	11.6246	+	10.0154i	0.581228	+	0.500771i
$401$	10.8272	+	6.25109i	0.540685	+	0.312164i	0.745356	−	0.666666i	$-0.232279\pi$
$401$	10.8272	+	6.25109i	0.540685	+	0.312164i	−0.204672	+	0.978831i	$0.565613\pi$
$402$	−13.1462	−	0.600811i	−0.655674	−	0.0299657i
$403$	−37.6088	+	21.7134i	−1.87343	+	1.08162i
$404$	−12.3700	−	14.9387i	−0.615429	−	0.743230i
$405$	−4.89609	−	8.38523i	−0.243289	−	0.416665i
$406$	10.3051	−	5.71836i	0.511432	−	0.283797i
$407$	1.14105	−	1.97636i	0.0565599	−	0.0979647i
$408$	−3.47209	−	1.47312i	−0.171894	−	0.0729305i
$409$	−28.0418			−1.38658			−0.693288	−	0.720661i	$-0.743838\pi$
$409$	−28.0418			−1.38658			−0.693288	+	0.720661i	$0.743838\pi$
$410$	10.2029	+	8.61808i	0.503884	+	0.425616i
$411$	−28.2895	−	11.6774i	−1.39542	−	0.576001i
$412$	4.46221	−	12.0154i	0.219837	−	0.591957i
$413$	−3.39906	−	20.9563i	−0.167257	−	1.03119i
$414$	−2.98643	−	34.4579i	−0.146775	−	1.69351i
$415$	3.17633	−	1.83385i	0.155920	−	0.0900203i
$416$	4.11155	+	25.7676i	0.201585	+	1.26336i
$417$	7.76354	+	3.20464i	0.380182	+	0.156932i
$418$	−1.14493	−	3.17787i	−0.0560002	−	0.155434i
$419$	−0.754253	−	1.30640i	−0.0368477	−	0.0638220i	0.847013	−	0.531571i	$-0.178398\pi$
$419$	−0.754253	−	1.30640i	−0.0368477	−	0.0638220i	−0.883861	+	0.467749i	$0.845065\pi$
$420$	4.39809	+	8.85621i	0.214605	+	0.432139i
$421$	−17.8187	+	30.8630i	−0.868432	+	1.50417i	−0.00483387	+	0.999988i	$0.501539\pi$
$421$	−17.8187	+	30.8630i	−0.868432	+	1.50417i	−0.863598	+	0.504180i	$0.831795\pi$
$422$	−25.0262	−	4.49698i	−1.21825	−	0.218909i
$423$	1.49193	−	5.62297i	0.0725403	−	0.273398i
$424$	14.3890	−	8.12089i	0.698794	−	0.394385i
$425$		−	2.95329i		−	0.143256i
$426$	0.676717	−	14.8071i	0.0327870	−	0.717406i
$427$	4.77931	+	29.4659i	0.231287	+	1.42596i
$428$	2.19316	−	1.81604i	0.106011	−	0.0877817i
$429$	9.92751	−	1.31934i	0.479305	−	0.0636984i
$430$	2.10174	−	11.6964i	0.101355	−	0.564050i
$431$	4.90866	−	8.50204i	0.236442	−	0.409529i	−0.723249	−	0.690587i	$-0.757352\pi$
$431$	4.90866	−	8.50204i	0.236442	−	0.409529i	0.959691	+	0.281058i	$0.0906855\pi$
$432$	−15.4550	+	13.8976i	−0.743577	+	0.668651i
$433$	−0.806705			−0.0387678			−0.0193839	−	0.999812i	$-0.506170\pi$
$433$	−0.806705			−0.0387678			−0.0193839	+	0.999812i	$0.506170\pi$
$434$	30.2029	+	18.1290i	1.44979	+	0.870219i
$435$	2.24579	−	5.44064i	0.107677	−	0.260859i
$436$	21.6717	+	8.04831i	1.03789	+	0.385444i
$437$		−	15.5337i		−	0.743080i
$438$	17.2848	+	11.0612i	0.825901	+	0.528525i
$439$		−	3.03706i		−	0.144951i	−0.997370	−	0.0724755i	$-0.976910\pi$
$439$		−	3.03706i		−	0.144951i	0.997370	−	0.0724755i	$-0.0230899\pi$
$440$	3.29378	+	1.94487i	0.157025	+	0.0927180i
$441$	−1.30625	−	20.9593i	−0.0622025	−	0.998064i
$442$	3.24079	−	3.83674i	0.154148	−	0.182495i
$443$	−15.1451			−0.719566			−0.359783	−	0.933036i	$-0.617149\pi$
$443$	−15.1451			−0.719566			−0.359783	+	0.933036i	$0.617149\pi$
$444$	−6.14990	−	1.39762i	−0.291862	−	0.0663283i
$445$	−1.78607			−0.0846680
$446$	9.35359	+	25.9619i	0.442905	+	1.22933i
$447$	4.38840	+	33.0209i	0.207564	+	1.56184i
$448$	16.6581	−	13.0579i	0.787021	−	0.616927i
$449$			15.0283i			0.709229i	0.935013	+	0.354614i	$0.115388\pi$
$449$			15.0283i			0.709229i	−0.935013	+	0.354614i	$0.884612\pi$
$450$	−14.7444	−	6.89002i	−0.695056	−	0.324799i
$451$	−9.50220	−	5.48610i	−0.447441	−	0.258330i
$452$	1.23892	+	1.49620i	0.0582740	+	0.0703752i
$453$	−8.78956	−	3.62816i	−0.412970	−	0.170466i
$454$	−0.561814	+	3.12655i	−0.0263672	+	0.146736i
$455$	−12.9970	+	2.10809i	−0.609310	+	0.0988287i
$456$	−7.45414	+	5.61906i	−0.349072	+	0.263137i
$457$	4.13431			0.193395			0.0966975	−	0.995314i	$-0.469172\pi$
$457$	4.13431			0.193395			0.0966975	+	0.995314i	$0.469172\pi$
$458$	14.9128	−	5.37281i	0.696830	−	0.251055i
$459$	3.96812	+	0.507602i	0.185216	+	0.0236928i
$460$	11.2190	+	13.5487i	0.523087	+	0.631712i
$461$	−27.7292	−	16.0094i	−1.29148	−	0.745634i	−0.312560	−	0.949898i	$-0.601187\pi$
$461$	−27.7292	−	16.0094i	−1.29148	−	0.745634i	−0.978916	+	0.204264i	$0.934520\pi$
$462$	−4.84307	−	6.52208i	−0.225320	−	0.303434i
$463$	−5.84969	+	3.37732i	−0.271858	+	0.156957i	−0.629732	−	0.776813i	$-0.716835\pi$
$463$	−5.84969	+	3.37732i	−0.271858	+	0.156957i	0.357874	+	0.933770i	$0.383502\pi$
$464$	−12.3781	−	2.34945i	−0.574637	−	0.109070i
$465$	17.4395	−	2.31767i	0.808740	−	0.107479i
$466$	31.6936	+	5.69506i	1.46818	+	0.263818i
$467$	−11.3983	−	19.7424i	−0.527451	−	0.913572i	−0.999488	−	0.0319930i	$-0.989815\pi$
$467$	−11.3983	−	19.7424i	−0.527451	−	0.913572i	0.472037	−	0.881579i	$-0.343519\pi$
$468$	−11.5942	−	25.1308i	−0.535944	−	1.16167i
$469$	−14.0310	+	2.27580i	−0.647891	+	0.105086i
$470$	1.00288	+	2.78360i	0.0462595	+	0.128398i
$471$	−5.37122	−	6.98221i	−0.247493	−	0.321723i
$472$	−11.5397	+	19.5434i	−0.531159	+	0.899556i
$473$			9.76303i			0.448905i
$474$	32.4410	+	1.48263i	1.49007	+	0.0680993i
$475$	−6.33006	−	3.65466i	−0.290443	−	0.167687i
$476$	−3.99682	−	0.788539i	−0.183194	−	0.0361426i
$477$	−12.3615	+	12.4222i	−0.565995	+	0.568772i
$478$	4.40273	−	24.5017i	0.201376	−	1.12068i
$479$	9.55574	+	16.5510i	0.436613	+	0.756236i	0.997426	−	0.0717068i	$-0.0228446\pi$
$479$	9.55574	+	16.5510i	0.436613	+	0.756236i	−0.560813	+	0.827943i	$0.689511\pi$
$480$	2.44333	−	10.2846i	0.111522	−	0.469427i
$481$	4.19895	−	7.27279i	0.191456	−	0.331611i
$482$	5.95649	−	33.1485i	0.271311	−	1.50987i
$483$	−10.7872	−	35.7670i	−0.490835	−	1.62746i
$484$	17.6778	+	6.56507i	0.803537	+	0.298412i
$485$	0.432898	−	0.249934i	0.0196569	−	0.0113489i
$486$	11.7918	−	18.6267i	0.534888	−	0.844923i
$487$	−12.8478	−	7.41771i	−0.582192	−	0.336128i	0.179812	−	0.983701i	$-0.442451\pi$
$487$	−12.8478	−	7.41771i	−0.582192	−	0.336128i	−0.762004	+	0.647573i	$0.775784\pi$
$488$	16.2256	−	27.4793i	0.734499	−	1.24393i
$489$	3.38377	+	1.39676i	0.153019	+	0.0631635i
$490$	6.61061	+	8.38877i	0.298637	+	0.378966i
$491$	0.446816	+	0.773908i	0.0201645	+	0.0349260i	0.875932	−	0.482435i	$-0.160248\pi$
$491$	0.446816	+	0.773908i	0.0201645	+	0.0349260i	−0.855767	+	0.517361i	$0.826914\pi$
$492$	−6.71967	+	29.5682i	−0.302946	+	1.33304i
$493$	1.21248	+	2.10008i	0.0546075	+	0.0945830i
$494$	−4.21320	−	11.6942i	−0.189561	−	0.526146i
$495$	−3.92146	−	1.04047i	−0.176256	−	0.0467658i
$496$	−12.4173	−	35.5522i	−0.557551	−	1.59634i
$497$	−2.56332	−	15.8036i	−0.114980	−	0.708891i
$498$	7.01389	+	4.48845i	0.314300	+	0.201132i
$499$	−11.0464	−	6.37765i	−0.494506	−	0.285503i	0.231936	−	0.972731i	$-0.425494\pi$
$499$	−11.0464	−	6.37765i	−0.494506	−	0.285503i	−0.726442	+	0.687228i	$0.758827\pi$
$500$	18.7976	−	3.18827i	0.840655	−	0.142584i
$501$	−14.0748	+	34.0975i	−0.628816	+	1.52337i
$502$	−23.1107	−	19.5209i	−1.03148	−	0.871262i
$503$	21.6142			0.963728			0.481864	−	0.876246i	$-0.339960\pi$
$503$	21.6142			0.963728			0.481864	+	0.876246i	$0.339960\pi$
$504$	−13.2614	+	18.1145i	−0.590708	+	0.806885i
$505$	−10.4627			−0.465585
$506$	−11.0402	−	9.32536i	−0.490798	−	0.414563i
$507$	14.2117	−	1.88870i	0.631163	−	0.0838800i
$508$	−5.18460	+	0.879361i	−0.230029	+	0.0390154i
$509$	1.66826	+	0.963172i	0.0739444	+	0.0426918i	0.536516	−	0.843890i	$-0.319740\pi$
$509$	1.66826	+	0.963172i	0.0739444	+	0.0426918i	−0.462572	+	0.886582i	$0.653073\pi$
$510$	−1.80662	+	0.935795i	−0.0799986	+	0.0414377i
$511$	20.7225	+	7.86636i	0.916710	+	0.347987i
$512$	−22.6177	−	0.663950i	−0.999569	−	0.0293427i
$513$	5.99849	−	7.87709i	0.264840	−	0.347782i
$514$	−7.72054	−	21.4292i	−0.340539	−	0.945200i
$515$	−3.45709	−	5.98785i	−0.152337	−	0.263856i
$516$	25.7745	−	7.97679i	1.13466	−	0.351159i
$517$	−1.21538	−	2.10510i	−0.0534522	−	0.0925820i
$518$	−6.81105	−	0.115773i	−0.299260	−	0.00508679i
$519$	11.5056	−	8.85095i	0.505040	−	0.388514i
$520$	12.1207	+	7.15690i	0.531529	+	0.313851i
$521$	−6.67313	−	3.85274i	−0.292355	−	0.168791i	0.346648	−	0.937995i	$-0.387320\pi$
$521$	−6.67313	−	3.85274i	−0.292355	−	0.168791i	−0.639004	+	0.769204i	$0.720653\pi$
$522$	13.3134	−	1.15386i	0.582712	−	0.0505030i
$523$	10.6678	−	6.15904i	0.466469	−	0.269316i	−0.248291	−	0.968685i	$-0.579869\pi$
$523$	10.6678	−	6.15904i	0.466469	−	0.269316i	0.714761	+	0.699369i	$0.246536\pi$
$524$	−29.9850	−	11.1356i	−1.30990	−	0.486463i
$525$	−17.1131	−	4.01917i	−0.746879	−	0.175411i
$526$	−7.35362	+	40.9237i	−0.320633	+	1.78436i
$527$	−3.62408	+	6.27710i	−0.157868	+	0.273435i
$528$	−0.481332	+	8.67114i	−0.0209473	+	0.377363i
$529$	−21.7296	−	37.6368i	−0.944766	−	1.63638i
$530$	1.57633	−	8.77246i	0.0684715	−	0.381051i
$531$	6.17356	−	23.2676i	0.267910	−	1.00973i
$532$	−6.63616	+	7.59094i	−0.287714	+	0.329109i
$533$	−34.9670	−	20.1882i	−1.51459	−	0.874448i
$534$	−1.86509	−	3.60070i	−0.0807105	−	0.155818i
$535$		−	1.53604i		−	0.0664087i
$536$	13.0850	+	7.72626i	0.565185	+	0.333724i
$537$	−8.63090	+	1.14703i	−0.372451	+	0.0494978i
$538$	9.14863	+	25.3930i	0.394425	+	1.09477i
$539$	−6.56419	−	5.82263i	−0.282740	−	0.250798i
$540$	0.457130	+	11.2028i	0.0196717	+	0.482092i
$541$	7.20688	+	12.4827i	0.309848	+	0.536673i	0.978329	−	0.207057i	$-0.0663884\pi$
$541$	7.20688	+	12.4827i	0.309848	+	0.536673i	−0.668481	+	0.743729i	$0.733055\pi$
$542$	−2.96613	−	0.532987i	−0.127406	−	0.0228937i
$543$	−5.29540	−	6.88365i	−0.227247	−	0.295405i
$544$	2.74467	+	3.38143i	0.117677	+	0.144978i
$545$	10.8001	−	6.23541i	0.462623	−	0.267096i
$546$	−17.8219	−	24.0005i	−0.762708	−	1.02713i
$547$	7.72518	+	4.46014i	0.330305	+	0.190702i	0.655977	−	0.754781i	$-0.272257\pi$
$547$	7.72518	+	4.46014i	0.330305	+	0.190702i	−0.325671	+	0.945483i	$0.605590\pi$
$548$	22.5387	+	27.2191i	0.962806	+	1.16274i
$549$	−8.68044	+	32.7159i	−0.370472	+	1.39628i
$550$	−6.39759	+	2.30493i	−0.272794	+	0.0982827i
$551$	6.00173			0.255682
$552$	−15.5987	+	36.7655i	−0.663926	+	1.56484i
$553$	34.6244	−	5.61600i	1.47238	−	0.238817i
$554$	0.170688	−	0.949900i	0.00725186	−	0.0403574i
$555$	−2.69654	+	2.07438i	−0.114462	+	0.0880524i
$556$	−6.18534	−	7.46980i	−0.262317	−	0.316790i
$557$	15.6777	+	9.05152i	0.664285	+	0.383525i	0.793908	−	0.608038i	$-0.208043\pi$
$557$	15.6777	+	9.05152i	0.664285	+	0.383525i	−0.129623	+	0.991563i	$0.541377\pi$
$558$	22.8835	+	32.7377i	0.968737	+	1.38590i
$559$			35.9269i			1.51954i
$560$	0.305717	−	11.4138i	0.0129189	−	0.482320i
$561$	1.32486	−	1.01918i	0.0559357	−	0.0430298i
$562$	4.35119	+	12.0772i	0.183544	+	0.509445i
$563$	−22.6985			−0.956629			−0.478315	−	0.878189i	$-0.658752\pi$
$563$	−22.6985			−0.956629			−0.478315	+	0.878189i	$0.658752\pi$
$564$	−4.56446	+	4.92855i	−0.192198	+	0.207530i
$565$	1.04790			0.0440855
$566$	3.43741	−	4.06953i	0.144485	−	0.171055i
$567$	8.34161	−	22.3029i	0.350315	−	0.936632i
$568$	−8.70239	+	14.7381i	−0.365144	+	0.618398i
$569$		−	14.1749i		−	0.594242i	−0.954840	−	0.297121i	$-0.903974\pi$
$569$		−	14.1749i		−	0.594242i	0.954840	−	0.297121i	$-0.0960264\pi$
$570$	−0.229897	+	5.03033i	−0.00962934	+	0.210697i
$571$		−	10.3493i		−	0.433106i	−0.976271	−	0.216553i	$-0.930519\pi$
$571$		−	10.3493i		−	0.433106i	0.976271	−	0.216553i	$-0.0694813\pi$
$572$	−10.8407	−	4.02593i	−0.453271	−	0.168333i
$573$	−0.388246	−	0.504693i	−0.0162192	−	0.0210838i
$574$	−0.556629	+	32.7470i	−0.0232332	+	1.36683i
$575$	−31.2721			−1.30414
$576$	23.2851	−	5.81394i	0.970214	−	0.242248i
$577$	−17.9634	+	31.1135i	−0.747826	+	1.29527i	0.201037	+	0.979584i	$0.435569\pi$
$577$	−17.9634	+	31.1135i	−0.747826	+	1.29527i	−0.948863	+	0.315689i	$0.897765\pi$
$578$	−4.10372	+	22.8376i	−0.170692	+	0.949920i
$579$	29.1511	+	37.8944i	1.21148	+	1.57484i
$580$	−5.23478	+	4.33465i	−0.217363	+	0.179986i
$581$	8.40884	+	3.19203i	0.348857	+	0.132428i
$582$	0.955915	+	0.611726i	0.0396240	+	0.0253569i
$583$			7.32242i			0.303264i
$584$	−11.6466	−	20.6360i	−0.481938	−	0.853925i
$585$	−14.4305	−	3.82882i	−0.596629	−	0.158302i
$586$	−28.9557	−	5.20308i	−1.19615	−	0.214937i
$587$	−13.3823	+	23.1788i	−0.552346	+	0.956691i	0.445759	+	0.895153i	$0.352934\pi$
$587$	−13.3823	+	23.1788i	−0.552346	+	0.956691i	−0.998105	+	0.0615378i	$0.980400\pi$
$588$	−10.0086	+	22.0868i	−0.412747	+	0.910846i
$589$	8.96951	+	15.5357i	0.369582	+	0.640136i
$590$	4.14988	+	11.5184i	0.170848	+	0.474206i
$591$	−34.6390	+	26.6469i	−1.42486	+	1.09611i
$592$	5.51709	+	4.75338i	0.226751	+	0.195363i
$593$	−12.7098	+	7.33798i	−0.521927	+	0.301335i	−0.737723	−	0.675104i	$-0.764099\pi$
$593$	−12.7098	+	7.33798i	−0.521927	+	0.301335i	0.215796	+	0.976439i	$0.430766\pi$
$594$	−1.99737	−	8.99213i	−0.0819532	−	0.368951i
$595$	−1.70272	+	1.38935i	−0.0698046	+	0.0569577i
$596$	13.3911	−	36.0583i	0.548520	−	1.47700i
$597$	1.99548	+	15.0152i	0.0816694	+	0.614529i
$598$	−40.6268	−	34.3163i	−1.66135	−	1.40330i
$599$	−16.6258			−0.679311			−0.339655	−	0.940550i	$-0.610310\pi$
$599$	−16.6258			−0.679311			−0.339655	+	0.940550i	$0.610310\pi$
$600$	11.3121	+	15.0065i	0.461816	+	0.612636i
$601$	−2.05010	+	3.55088i	−0.0836254	+	0.144843i	−0.904805	−	0.425827i	$-0.859983\pi$
$601$	−2.05010	+	3.55088i	−0.0836254	+	0.144843i	0.821179	+	0.570670i	$0.193317\pi$
$602$	25.4821	−	14.1402i	1.03857	−	0.576310i
$603$	−15.5785	−	4.13342i	−0.634407	−	0.168326i
$604$	7.00279	+	8.45700i	0.284940	+	0.344111i
$605$	8.80968	−	5.08627i	0.358165	−	0.206786i
$606$	−10.9256	−	21.0927i	−0.443823	−	0.856834i
$607$	−12.6918	−	7.32760i	−0.515143	−	0.297418i	0.219802	−	0.975545i	$-0.429459\pi$
$607$	−12.6918	−	7.32760i	−0.515143	−	0.297418i	−0.734945	+	0.678126i	$0.762792\pi$
$608$	10.6442	−	1.69842i	0.431680	−	0.0688802i
$609$	13.8192	−	4.16782i	0.559983	−	0.168889i
$610$	−5.83501	−	16.1957i	−0.236253	−	0.655744i
$611$	−4.47245	−	7.74651i	−0.180936	−	0.313390i
$612$	−3.77311	−	2.66493i	−0.152519	−	0.107724i
$613$	13.1241	−	22.7315i	0.530076	−	0.918118i	−0.469308	−	0.883034i	$-0.655497\pi$
$613$	13.1241	−	22.7315i	0.530076	−	0.918118i	0.999384	−	0.0350842i	$-0.0111699\pi$
$614$	−19.5614	+	23.1586i	−0.789433	+	0.934604i
$615$	9.97344	+	12.9648i	0.402168	+	0.522790i
$616$	1.41119	+	9.27356i	0.0568585	+	0.373642i
$617$	−21.6368	+	12.4920i	−0.871065	+	0.502909i	−0.867702	−	0.497085i	$-0.834404\pi$
$617$	−21.6368	+	12.4920i	−0.871065	+	0.502909i	−0.00336280	+	0.999994i	$0.501070\pi$
$618$	8.46140	−	13.2222i	0.340368	−	0.531876i
$619$	35.7557	−	20.6436i	1.43714	−	0.829736i	0.439494	−	0.898245i	$-0.355158\pi$
$619$	35.7557	−	20.6436i	1.43714	−	0.829736i	0.997650	+	0.0685094i	$0.0218243\pi$
$620$	−19.0437	−	7.07231i	−0.764812	−	0.284031i
$621$	5.37494	−	42.0180i	0.215689	−	1.68612i
$622$	−32.7484	−	27.6617i	−1.31309	−	1.10913i
$623$	−2.76905	−	3.39361i	−0.110940	−	0.135962i
$624$	−1.77125	+	31.9088i	−0.0709066	+	1.27737i
$625$	−4.44747	+	7.70325i	−0.177899	+	0.308130i
$626$	−26.4332	−	22.3273i	−1.05648	−	0.892380i
$627$	−0.545001	−	4.10092i	−0.0217653	−	0.163775i
$628$	1.70097	+	10.0287i	0.0678762	+	0.400189i
$629$		−	1.40165i		−	0.0558876i
$630$	2.96390	+	11.7422i	0.118085	+	0.467820i
$631$			14.3055i			0.569494i	0.958603	+	0.284747i	$0.0919096\pi$
$631$			14.3055i			0.569494i	−0.958603	+	0.284747i	$0.908090\pi$
$632$	−32.2899	−	19.0662i	−1.28442	−	0.758411i
$633$	−28.7856	−	11.8822i	−1.14413	−	0.472273i
$634$	13.2672	−	15.7070i	0.526909	−	0.623804i
$635$	−1.41837	+	2.45669i	−0.0562863	+	0.0974907i
$636$	19.3313	−	5.98271i	0.766534	−	0.237230i
$637$	−24.1555	−	21.4266i	−0.957074	−	0.848953i
$638$	3.60302	−	4.26558i	0.142645	−	0.168876i
$639$	4.65563	−	17.5467i	0.184174	−	0.694137i
$640$	−8.05737	+	9.16899i	−0.318495	+	0.362436i
$641$	−18.5272	+	10.6967i	−0.731782	+	0.422495i	−0.819074	−	0.573688i	$-0.805512\pi$
$641$	−18.5272	+	10.6967i	−0.731782	+	0.422495i	0.0872916	+	0.996183i	$0.472179\pi$
$642$	3.09664	−	1.60400i	0.122215	−	0.0633047i
$643$	3.46660	−	2.00144i	0.136709	−	0.0789293i	−0.430085	−	0.902788i	$-0.641517\pi$
$643$	3.46660	−	2.00144i	0.136709	−	0.0789293i	0.566795	+	0.823859i	$0.308183\pi$
$644$	−8.34975	+	42.3219i	−0.329026	+	1.66771i
$645$	5.55331	−	13.4534i	0.218662	−	0.529728i
$646$	−1.58490	−	1.33872i	−0.0623572	−	0.0526714i
$647$	−8.71367	+	15.0925i	−0.342570	+	0.593348i	−0.984909	−	0.173072i	$-0.944631\pi$
$647$	−8.71367	+	15.0925i	−0.342570	+	0.593348i	0.642339	+	0.766420i	$0.277964\pi$
$648$	−22.1074	+	12.6200i	−0.868459	+	0.495761i
$649$	−5.02918	−	8.71080i	−0.197413	−	0.341929i
$650$	−23.5424	+	8.48190i	−0.923408	+	0.332687i
$651$	31.4412	+	29.5427i	1.23228	+	1.15787i
$652$	−2.69591	−	3.25574i	−0.105580	−	0.127505i
$653$	20.6575	+	11.9266i	0.808392	+	0.466725i	0.846397	−	0.532552i	$-0.178767\pi$
$653$	20.6575	+	11.9266i	0.808392	+	0.466725i	−0.0380052	+	0.999278i	$0.512100\pi$
$654$	23.8484	+	15.2615i	0.932547	+	0.596772i
$655$	−14.9429	+	8.62732i	−0.583869	+	0.337097i
$656$	22.8539	−	26.5257i	0.892293	−	1.03566i
$657$	17.8152	+	17.7283i	0.695039	+	0.691645i
$658$	−3.73414	+	6.22109i	−0.145572	+	0.242523i
$659$	20.6341	−	35.7394i	0.803792	−	1.39221i	−0.113311	−	0.993560i	$-0.536146\pi$
$659$	20.6341	−	35.7394i	0.803792	−	1.39221i	0.917103	−	0.398649i	$-0.130521\pi$
$660$	3.43717	+	3.18325i	0.133792	+	0.123908i
$661$	49.5454			1.92709			0.963546	−	0.267543i	$-0.0862119\pi$
$661$	49.5454			1.92709			0.963546	+	0.267543i	$0.0862119\pi$
$662$	13.5481	−	16.0395i	0.526562	−	0.623392i
$663$	4.87534	−	3.75046i	0.189342	−	0.145656i
$664$	−4.72597	−	8.37374i	−0.183403	−	0.324964i
$665$	0.870822	+	5.36889i	0.0337690	+	0.208197i
$666$	−6.99777	−	3.27005i	−0.271158	−	0.126712i
$667$	22.2375	−	12.8388i	0.861040	−	0.497122i
$668$	32.8074	−	27.1661i	1.26936	−	1.05109i
$669$	4.45244	+	33.5028i	0.172141	+	1.29529i
$670$	7.71201	−	2.77850i	0.297941	−	0.107343i
$671$	7.07137	+	12.2480i	0.272987	+	0.472828i
$672$	23.3293	−	11.3024i	0.899946	−	0.436001i
$673$	−5.45954	+	9.45620i	−0.210450	+	0.364510i	−0.951855	−	0.306547i	$-0.900826\pi$
$673$	−5.45954	+	9.45620i	−0.210450	+	0.364510i	0.741406	+	0.671057i	$0.234160\pi$
$674$	−3.05346	+	16.9928i	−0.117615	+	0.654539i
$675$	−15.8579	−	12.0760i	−0.610372	−	0.464805i
$676$	−15.5189	−	5.76331i	−0.596881	−	0.221666i
$677$			19.9009i			0.764855i	0.923985	+	0.382428i	$0.124912\pi$
$677$			19.9009i			0.764855i	−0.923985	+	0.382428i	$0.875088\pi$
$678$	1.09426	+	2.11256i	0.0420249	+	0.0811322i
$679$	1.14603	+	0.435039i	0.0439807	+	0.0166953i
$680$	2.34924	+	0.0229817i	0.0900893	+	0.000881310i
$681$	−1.48445	+	3.59623i	−0.0568844	+	0.137808i
$682$	16.4262	+	2.95165i	0.628994	+	0.113025i
$683$	−17.3527	+	30.0558i	−0.663984	+	1.15005i	0.315576	+	0.948900i	$0.397802\pi$
$683$	−17.3527	+	30.0558i	−0.663984	+	1.15005i	−0.979560	+	0.201153i	$0.935531\pi$
$684$	−10.3812	+	4.78942i	−0.396934	+	0.183128i
$685$	19.0636			0.728383
$686$	−5.69022	+	25.5660i	−0.217254	+	0.976115i
$687$	19.2444	−	2.55753i	0.734220	−	0.0975760i
$688$	−30.6081	−	5.80963i	−1.16692	−	0.221490i
$689$			26.9457i			1.02655i
$690$	9.90902	+	19.1301i	0.377230	+	0.728271i
$691$		−	39.4440i		−	1.50052i	−0.661142	−	0.750261i	$-0.729928\pi$
$691$		−	39.4440i		−	1.50052i	0.661142	−	0.750261i	$-0.270072\pi$
$692$	−16.5258	+	2.80294i	−0.628216	+	0.106552i
$693$	−4.10271	−	9.06404i	−0.155849	−	0.344315i
$694$	−27.9441	−	23.6035i	−1.06074	−	0.895978i
$695$	−5.23166			−0.198448
$696$	−14.2050	−	6.02684i	−0.538439	−	0.228447i
$697$	−6.73903			−0.255259
$698$	−22.7940	+	8.21227i	−0.862766	+	0.310839i
$699$	36.4547	+	15.0478i	1.37884	+	0.569159i
$700$	15.2819	+	13.3597i	0.577600	+	0.504950i
$701$			17.5139i			0.661493i	0.943720	+	0.330746i	$0.107300\pi$
$701$			17.5139i			0.661493i	−0.943720	+	0.330746i	$0.892700\pi$
$702$	−7.35011	−	33.0900i	−0.277412	−	1.24890i
$703$	−3.00429	−	1.73453i	−0.113309	−	0.0654189i
$704$	5.18293	−	8.58473i	0.195339	−	0.323549i
$705$	0.477385	+	3.59213i	0.0179794	+	0.135288i
$706$	1.83764	+	0.330207i	0.0691604	+	0.0124275i
$707$	−16.2209	−	19.8796i	−0.610052	−	0.747650i
$708$	−18.8876	+	20.3942i	−0.709838	+	0.766460i
$709$	31.0840			1.16738			0.583692	−	0.811975i	$-0.301608\pi$
$709$	31.0840			1.16738			0.583692	+	0.811975i	$0.301608\pi$
$710$	3.12953	+	8.68634i	0.117449	+	0.325992i
$711$	38.4433	+	10.2001i	1.44174	+	0.382533i
$712$	−0.0458039	+	4.68217i	−0.00171657	+	0.175472i
$713$	66.4674	+	38.3750i	2.48922	+	1.43715i
$714$	−4.57896	−	1.98184i	−0.171363	−	0.0741687i
$715$	−5.40241	+	3.11908i	−0.202039	+	0.116647i
$716$	9.42479	+	3.50012i	0.352221	+	0.130806i
$717$	11.6331	−	28.1823i	0.434447	−	1.05249i
$718$	6.09755	−	33.9335i	0.227559	−	1.26639i
$719$	15.0090	+	25.9963i	0.559740	+	0.969498i	0.997518	+	0.0704145i	$0.0224322\pi$
$719$	15.0090	+	25.9963i	0.559740	+	0.969498i	−0.437778	+	0.899083i	$0.644234\pi$
$720$	5.59551	−	11.6750i	0.208532	−	0.435102i
$721$	6.01746	−	15.8519i	0.224102	−	0.590356i
$722$	20.4487	−	7.36730i	0.761023	−	0.274183i
$723$	15.7385	−	38.1281i	0.585323	−	1.41800i
$724$	1.67696	+	9.88714i	0.0623238	+	0.367453i
$725$		−	12.0825i		−	0.448733i
$726$	19.4533	+	12.4489i	0.721980	+	0.462023i
$727$	13.9782	+	8.07030i	0.518422	+	0.299311i	0.736289	−	0.676668i	$-0.236577\pi$
$727$	13.9782	+	8.07030i	0.518422	+	0.299311i	−0.217867	+	0.975978i	$0.569910\pi$
$728$	5.19303	+	34.1256i	0.192466	+	1.26478i
$729$	18.9512	−	19.2315i	0.701897	−	0.712279i
$730$	−12.5810	−	2.26069i	−0.465644	−	0.0836721i
$731$	2.99819	+	5.19302i	0.110892	+	0.192071i
$732$	26.5572	−	28.6756i	0.981581	−	1.05988i
$733$	−8.67381	+	15.0235i	−0.320374	+	0.554905i	−0.980565	−	0.196193i	$-0.937142\pi$
$733$	−8.67381	+	15.0235i	−0.320374	+	0.554905i	0.660191	+	0.751098i	$0.270475\pi$
$734$	−24.2292	−	4.35377i	−0.894315	−	0.160700i
$735$	5.73345	+	11.7573i	0.211482	+	0.433676i
$736$	35.8056	−	29.0630i	1.31981	−	1.07128i
$737$	−5.83220	+	3.36722i	−0.214832	+	0.124033i
$738$	−15.7221	+	33.6447i	−0.578740	+	1.23848i
$739$	4.79562	+	2.76875i	0.176410	+	0.101850i	0.585605	−	0.810597i	$-0.300857\pi$
$739$	4.79562	+	2.76875i	0.176410	+	0.101850i	−0.409195	+	0.912447i	$0.634190\pi$
$740$	3.87311	−	0.656919i	0.142378	−	0.0241488i
$741$	−2.00554	−	15.0909i	−0.0736754	−	0.554378i
$742$	19.1119	−	10.6053i	0.701621	−	0.389334i
$743$	−11.8746	−	20.5674i	−0.435637	−	0.754545i	0.561711	−	0.827334i	$-0.310143\pi$
$743$	−11.8746	−	20.5674i	−0.435637	−	0.754545i	−0.997347	+	0.0727889i	$0.976810\pi$
$744$	−5.62852	−	45.7771i	−0.206351	−	1.67827i
$745$	−10.3747	−	17.9695i	−0.380100	−	0.658353i
$746$	−33.0648	+	11.9127i	−1.21059	+	0.436153i
$747$	7.22912	+	7.19382i	0.264500	+	0.263208i
$748$	−1.90293	+	0.322756i	−0.0695780	+	0.0118011i
$749$	2.91854	−	2.38141i	0.106641	−	0.0870147i
$750$	23.3268	+	1.06608i	0.851772	+	0.0389279i
$751$	2.00073	+	1.15512i	0.0730078	+	0.0421510i	0.536060	−	0.844180i	$-0.319912\pi$
$751$	2.00073	+	1.15512i	0.0730078	+	0.0421510i	−0.463052	+	0.886331i	$0.653246\pi$
$752$	7.32291	−	2.55766i	0.267039	−	0.0932682i
$753$	−22.5910	−	29.3667i	−0.823262	−	1.07018i
$754$	13.2587	−	15.6969i	0.482853	−	0.571646i
$755$	5.92308			0.215563
$756$	−20.5771	+	18.2369i	−0.748381	+	0.663269i
$757$	38.3537			1.39399			0.696995	−	0.717076i	$-0.254520\pi$
$757$	38.3537			1.39399			0.696995	+	0.717076i	$0.254520\pi$
$758$	11.7979	−	13.9674i	0.428518	−	0.507319i
$759$	−10.7920	−	14.0288i	−0.391723	−	0.509213i
$760$	2.95642	−	5.00690i	0.107240	−	0.181619i
$761$	−37.5071	−	21.6547i	−1.35963	−	0.784984i	−0.370058	−	0.929009i	$-0.620662\pi$
$761$	−37.5071	−	21.6547i	−1.35963	−	0.784984i	−0.989574	+	0.144025i	$0.953995\pi$
$762$	−6.43378	−	0.294038i	−0.233071	−	0.0106519i
$763$	28.5915	+	10.8535i	1.03508	+	0.392921i
$764$	0.122951	+	0.724902i	0.00444821	+	0.0262260i
$765$	−2.40537	+	0.650831i	−0.0869664	+	0.0235308i
$766$	−6.30208	+	2.27053i	−0.227703	+	0.0820374i
$767$	−18.5068	−	32.0548i	−0.668243	−	1.15743i
$768$	−26.8984	−	6.66891i	−0.970614	−	0.240643i
$769$	−8.68051	−	15.0351i	−0.313027	−	0.542179i	0.665989	−	0.745961i	$-0.268010\pi$
$769$	−8.68051	−	15.0351i	−0.313027	−	0.542179i	−0.979016	+	0.203783i	$0.934676\pi$
$770$	4.33858	+	2.60419i	0.156352	+	0.0938484i
$771$	−3.67509	−	27.6535i	−0.132355	−	0.995918i
$772$	−9.23166	−	54.4286i	−0.332255	−	1.95893i
$773$	3.74807	+	2.16395i	0.134809	+	0.0778319i	0.565888	−	0.824482i	$-0.308534\pi$
$773$	3.74807	+	2.16395i	0.134809	+	0.0778319i	−0.431079	+	0.902314i	$0.641867\pi$
$774$	32.9210	−	2.85322i	1.18332	−	0.102557i
$775$	31.2759	−	18.0572i	1.12346	−	0.648632i
$776$	−0.644098	−	1.14125i	−0.0231218	−	0.0409684i
$777$	−8.12201	−	1.90752i	−0.291375	−	0.0684321i
$778$	−44.3466	−	7.96870i	−1.58990	−	0.285692i
$779$	−8.33947	+	14.4444i	−0.298792	+	0.517524i
$780$	12.6484	+	11.7140i	0.452885	+	0.419429i
$781$	−3.79263	−	6.56903i	−0.135711	−	0.235058i
$782$	−8.73614	−	1.56981i	−0.312404	−	0.0561362i
$783$	16.2344	+	2.07670i	0.580169	+	0.0742152i
$784$	22.1606	−	17.1145i	0.791451	−	0.611233i
$785$	4.75204	+	2.74359i	0.169608	+	0.0979230i
$786$	−32.9966	−	21.1158i	−1.17695	−	0.753176i
$787$		−	10.9368i		−	0.389854i	−0.980818	−	0.194927i	$-0.937553\pi$
$787$		−	10.9368i		−	0.389854i	0.980818	−	0.194927i	$-0.0624471\pi$
$788$	49.7528	−	8.43859i	1.77237	−	0.300612i
$789$	−19.4301	+	47.0713i	−0.691731	+	1.67578i
$790$	−19.0310	+	6.85652i	−0.677093	+	0.243944i
$791$	1.62462	+	1.99106i	0.0577648	+	0.0707938i
$792$	−2.82816	+	10.2534i	−0.100494	+	0.364338i
$793$	26.0218	+	45.0711i	0.924063	+	1.60052i
$794$	0.304643	−	1.69537i	0.0108114	−	0.0601664i
$795$	4.16507	−	10.0903i	0.147720	−	0.357865i
$796$	6.08914	−	16.3963i	0.215824	−	0.581151i
$797$	−10.5323	+	6.08081i	−0.373072	+	0.215393i	−0.674800	−	0.738001i	$-0.735770\pi$
$797$	−10.5323	+	6.08081i	−0.373072	+	0.215393i	0.301728	+	0.953394i	$0.402437\pi$
$798$	−9.91427	+	7.36199i	−0.350961	+	0.260612i
$799$	−1.29293	−	0.746475i	−0.0457407	−	0.0264084i
$800$	−3.41922	−	21.4286i	−0.120888	−	0.757617i
$801$	−1.29714	−	4.79405i	−0.0458323	−	0.169389i
$802$	−5.99296	−	16.6341i	−0.211619	−	0.587370i
$803$	10.5014			0.370588
$804$	13.6546	+	12.6459i	0.481562	+	0.445987i
$805$	14.7116	+	18.0299i	0.518517	+	0.635469i
$806$	60.4467	+	10.8617i	2.12915	+	0.382588i
$807$	4.35487	+	32.7687i	0.153299	+	1.15351i
$808$	−0.268317	+	27.4279i	−0.00943937	+	0.964912i
$809$	25.1053	+	14.4946i	0.882656	+	0.509602i	0.871533	−	0.490336i	$-0.163126\pi$
$809$	25.1053	+	14.4946i	0.882656	+	0.509602i	0.0111231	+	0.999938i	$0.496459\pi$
$810$	−2.36244	+	13.5272i	−0.0830077	+	0.475299i
$811$			18.8050i			0.660334i	0.943923	+	0.330167i	$0.107105\pi$
$811$			18.8050i			0.660334i	−0.943923	+	0.330167i	$0.892895\pi$
$812$	−16.3518	−	3.22607i	−0.573835	−	0.113213i
$813$	−3.41170	−	1.40829i	−0.119654	−	0.0493907i
$814$	−3.03634	+	1.09394i	−0.106424	+	0.0383425i
$815$	−2.28024			−0.0798734
$816$	2.40685	+	4.76004i	0.0842566	+	0.166635i
$817$	14.8409			0.519217
$818$	30.2958	+	25.5900i	1.05927	+	0.894732i
$819$	−15.0975	−	33.3546i	−0.527550	−	1.16551i
$820$	−3.15842	−	18.6216i	−0.110297	−	0.650295i
$821$			1.58521i			0.0553243i	0.999617	+	0.0276621i	$0.00880625\pi$
$821$			1.58521i			0.0553243i	−0.999617	+	0.0276621i	$0.991194\pi$
$822$	19.9070	+	38.4320i	0.694338	+	1.34047i
$823$			2.16151i			0.0753456i	0.999290	+	0.0376728i	$0.0119945\pi$
$823$			2.16151i			0.0753456i	−0.999290	+	0.0376728i	$0.988006\pi$
$824$	−15.7858	+	8.90916i	−0.549923	+	0.310365i
$825$	−8.25584	+	1.09718i	−0.287432	+	0.0381989i
$826$	−15.4517	+	25.7426i	−0.537634	+	0.895701i
$827$	−28.7742			−1.00058			−0.500289	−	0.865859i	$-0.666773\pi$
$827$	−28.7742			−1.00058			−0.500289	+	0.865859i	$0.666773\pi$
$828$	−28.2187	+	39.9530i	−0.980666	+	1.38846i
$829$	−4.71017	+	8.15826i	−0.163591	+	0.283348i	−0.936154	−	0.351590i	$-0.885641\pi$
$829$	−4.71017	+	8.15826i	−0.163591	+	0.283348i	0.772563	+	0.634938i	$0.218974\pi$
$830$	−5.10516	−	0.917351i	−0.177203	−	0.0318417i
$831$	0.451002	−	1.09259i	0.0156451	−	0.0379017i
$832$	19.0726	−	31.5908i	0.661223	−	1.09522i
$833$	−5.27964	−	1.08125i	−0.182929	−	0.0374632i
$834$	−5.46313	−	10.5470i	−0.189173	−	0.365212i
$835$		−	22.9775i		−	0.795170i
$836$	−1.66306	+	4.47813i	−0.0575180	+	0.154879i
$837$	18.8865	+	45.1267i	0.652812	+	1.55981i
$838$	−0.377301	+	2.09972i	−0.0130336	+	0.0725336i
$839$	−5.51927	+	9.55966i	−0.190546	+	0.330036i	−0.945431	−	0.325821i	$-0.894359\pi$
$839$	−5.51927	+	9.55966i	−0.190546	+	0.330036i	0.754885	+	0.655857i	$0.227693\pi$
$840$	3.33028	−	13.5816i	0.114906	−	0.468611i
$841$	−9.53949	−	16.5229i	−0.328948	−	0.569755i
$842$	47.4155	−	17.0830i	1.63405	−	0.588718i
$843$	2.07122	+	15.5851i	0.0713368	+	0.536781i
$844$	22.9340	+	27.6965i	0.789420	+	0.953353i
$845$	−7.73381	+	4.46511i	−0.266051	+	0.153605i
$846$	−6.74319	+	4.71346i	−0.231836	+	0.162052i
$847$	23.3223	+	8.85324i	0.801363	+	0.304201i
$848$	−22.9565	−	4.35731i	−0.788330	−	0.149631i
$849$	5.17114	−	3.97801i	0.177473	−	0.136525i
$850$	−2.69508	+	3.19068i	−0.0924404	+	0.109439i
$851$	−14.8419			−0.508775
$852$	−14.2436	+	15.3797i	−0.487977	+	0.526901i
$853$	18.3096	−	31.7132i	0.626909	−	1.08584i	−0.361259	−	0.932465i	$-0.617653\pi$
$853$	18.3096	−	31.7132i	0.626909	−	1.08584i	0.988168	−	0.153373i	$-0.0490136\pi$
$854$	21.7262	−	36.1959i	0.743454	−	1.23860i
$855$	−1.58163	+	5.96105i	−0.0540907	+	0.203864i
$856$	−4.02671	−	0.0393918i	−0.137630	−	0.00134638i
$857$	2.51996	−	1.45490i	0.0860801	−	0.0496984i	−0.456342	−	0.889804i	$-0.650841\pi$
$857$	2.51996	−	1.45490i	0.0860801	−	0.0496984i	0.542422	+	0.840106i	$0.317507\pi$
$858$	−11.9295	−	7.63412i	−0.407265	−	0.260625i
$859$	−41.4573	−	23.9354i	−1.41450	−	0.816665i	−0.418696	−	0.908127i	$-0.637513\pi$
$859$	−41.4573	−	23.9354i	−1.41450	−	0.816665i	−0.995809	+	0.0914620i	$0.970846\pi$
$860$	−12.9444	+	10.7186i	−0.441400	+	0.365500i
$861$	−9.17123	+	39.0500i	−0.312555	+	1.33082i
$862$	−13.0619	+	4.70596i	−0.444890	+	0.160286i
$863$	6.39819	+	11.0820i	0.217797	+	0.377235i	0.954134	−	0.299379i	$-0.0967796\pi$
$863$	6.39819	+	11.0820i	0.217797	+	0.377235i	−0.736337	+	0.676615i	$0.763446\pi$
$864$	29.3798	−	0.911066i	0.999520	−	0.0309951i
$865$	−4.52102	+	7.83064i	−0.153719	+	0.266250i
$866$	0.871548	+	0.736172i	0.0296164	+	0.0250161i
$867$	−10.8431	+	26.2683i	−0.368249	+	0.892118i
$868$	−16.0868	−	47.1484i	−0.546021	−	1.60032i
$869$	14.3922	−	8.30932i	0.488221	−	0.281874i
$870$	−7.39125	+	3.82852i	−0.250587	+	0.129799i
$871$	−21.4618	+	12.3910i	−0.727206	+	0.419853i
$872$	−16.0691	−	28.4722i	−0.544169	−	0.964189i
$873$	0.985249	+	0.980438i	0.0333456	+	0.0331828i
$874$	−14.1756	+	16.7824i	−0.479496	+	0.567671i
$875$	24.8967	−	4.03819i	0.841662	−	0.136516i
$876$	−8.58009	−	27.7239i	−0.289894	−	0.936703i
$877$	−1.20708	+	2.09072i	−0.0407602	+	0.0705987i	−0.885686	−	0.464285i	$-0.846311\pi$
$877$	−1.20708	+	2.09072i	−0.0407602	+	0.0705987i	0.844926	+	0.534884i	$0.179645\pi$
$878$	−2.77152	+	3.28118i	−0.0935342	+	0.110734i
$879$	−33.3055	−	13.7479i	−1.12337	−	0.463704i
$880$	−1.78371	−	5.10699i	−0.0601288	−	0.172157i
$881$			43.3258i			1.45968i	0.683616	+	0.729842i	$0.260406\pi$
$881$			43.3258i			1.45968i	−0.683616	+	0.729842i	$0.739594\pi$
$882$	−17.7155	+	23.8361i	−0.596513	+	0.802603i
$883$			20.5807i			0.692597i	0.938124	+	0.346298i	$0.112561\pi$
$883$			20.5807i			0.692597i	−0.938124	+	0.346298i	$0.887439\pi$
$884$	−7.00256	+	1.18771i	−0.235522	+	0.0399469i
$885$	1.97540	+	14.8641i	0.0664024	+	0.499651i
$886$	16.3625	+	13.8209i	0.549709	+	0.464323i
$887$	3.20126	−	5.54475i	0.107488	−	0.186174i	−0.807264	−	0.590190i	$-0.799053\pi$
$887$	3.20126	−	5.54475i	0.107488	−	0.186174i	0.914752	+	0.404016i	$0.132386\pi$
$888$	5.36881	+	7.12216i	0.180166	+	0.239004i
$889$	−6.86679	+	1.11378i	−0.230305	+	0.0373549i
$890$	1.92964	+	1.62991i	0.0646816	+	0.0546347i
$891$	−0.0552138	−	11.2813i	−0.00184973	−	0.377939i
$892$	13.5865	−	36.5845i	0.454909	−	1.22494i
$893$	−3.19998	+	1.84751i	−0.107083	+	0.0618245i
$894$	25.3927	−	39.6799i	0.849258	−	1.32709i
$895$	4.69682	−	2.71171i	0.156997	−	0.0906425i
$896$	−29.9133	−	1.09414i	−0.999332	−	0.0365527i
$897$	−39.7132	−	51.6243i	−1.32599	−	1.72369i
$898$	13.7143	−	16.2363i	0.457653	−	0.541811i
$899$	−14.8268	+	25.6808i	−0.494503	+	0.856504i
$900$	9.64192	+	20.8991i	0.321397	+	0.696635i
$901$	2.24869	+	3.89484i	0.0749146	+	0.129756i
$902$	5.25956	+	14.5985i	0.175124	+	0.486076i
$903$	34.1717	−	10.3061i	1.13716	−	0.342964i
$904$	0.0268735	−	2.74706i	0.000893798	−	0.0913659i
$905$	4.68496	+	2.70486i	0.155733	+	0.0899127i
$906$	6.18513	+	11.9409i	0.205487	+	0.396708i
$907$	−27.3593	+	15.7959i	−0.908451	+	0.524494i	−0.879932	−	0.475099i	$-0.842412\pi$
$907$	−27.3593	+	15.7959i	−0.908451	+	0.524494i	−0.0285184	+	0.999593i	$0.509079\pi$
$908$	3.46016	−	2.86517i	0.114829	−	0.0950841i
$909$	−7.59860	−	28.0833i	−0.252030	−	0.931464i
$910$	15.9655	+	9.58311i	0.529251	+	0.317677i
$911$	−10.9840	+	19.0249i	−0.363917	+	0.630323i	−0.988602	−	0.150554i	$-0.951894\pi$
$911$	−10.9840	+	19.0249i	−0.363917	+	0.630323i	0.624685	+	0.780877i	$0.285228\pi$
$912$	13.1811	+	0.731677i	0.436469	+	0.0242283i
$913$	4.26130			0.141029
$914$	−4.46663	−	3.77284i	−0.147743	−	0.124794i
$915$	−2.77755	−	20.8999i	−0.0918229	−	0.690930i
$916$	−21.0146	−	7.80425i	−0.694341	−	0.257860i
$917$	−39.5592	−	15.0168i	−1.30636	−	0.495899i
$918$	−3.82386	−	4.16958i	−0.126206	−	0.137617i
$919$	−24.2557	+	14.0041i	−0.800123	+	0.461951i	−0.843514	−	0.537107i	$-0.819517\pi$
$919$	−24.2557	+	14.0041i	−0.800123	+	0.461951i	0.0433914	+	0.999058i	$0.486184\pi$
$920$	0.243351	−	24.8758i	0.00802304	−	0.820132i
$921$	−29.4275	+	22.6378i	−0.969670	+	0.745941i
$922$	15.3484	+	42.6010i	0.505471	+	1.40299i
$923$	−13.9565	−	24.1733i	−0.459382	−	0.795674i
$924$	−0.719475	+	11.4659i	−0.0236690	+	0.377202i
$925$	−3.49190	+	6.04815i	−0.114813	+	0.198862i
$926$	9.40192	+	1.68944i	0.308966	+	0.0555185i
$927$	13.5614	−	13.6280i	0.445416	−	0.447601i
$928$	11.2290	+	13.8341i	0.368610	+	0.454127i
$929$			13.7124i			0.449889i	0.974372	+	0.224945i	$0.0722201\pi$
$929$			13.7124i			0.449889i	−0.974372	+	0.224945i	$0.927780\pi$
$930$	−20.9564	−	13.4108i	−0.687187	−	0.439757i
$931$	−8.85103	+	9.97829i	−0.290081	+	0.327025i
$932$	−29.0440	−	35.0754i	−0.951369	−	1.14893i
$933$	−32.0120	−	41.6133i	−1.04803	−	1.36236i
$934$	−5.70179	+	31.7311i	−0.186568	+	1.03827i
$935$	−0.520591	+	0.901691i	−0.0170252	+	0.0294884i
$936$	−10.4073	+	37.7313i	−0.340173	+	1.23329i
$937$	5.33478			0.174280			0.0871399	−	0.996196i	$-0.472227\pi$
$937$	5.33478			0.174280			0.0871399	+	0.996196i	$0.472227\pi$
$938$	17.2356	+	10.3455i	0.562763	+	0.337792i
$939$	−25.8388	−	33.5886i	−0.843216	−	1.09612i
$940$	1.45673	−	3.92255i	0.0475133	−	0.127939i
$941$			42.1499i			1.37405i	0.726636	+	0.687023i	$0.241083\pi$
$941$			42.1499i			1.37405i	−0.726636	+	0.687023i	$0.758917\pi$
$942$	−0.568766	+	12.4450i	−0.0185314	+	0.405481i
$943$			71.3588i			2.32376i
$944$	30.3019	−	10.5835i	0.986243	−	0.344463i
$945$	0.497802	+	14.8239i	0.0161935	+	0.482221i
$946$	8.90942	−	10.5478i	0.289670	−	0.342938i
$947$	−5.15160			−0.167404			−0.0837022	−	0.996491i	$-0.526674\pi$
$947$	−5.15160			−0.167404			−0.0837022	+	0.996491i	$0.526674\pi$
$948$	−33.6957	−	31.2064i	−1.09438	−	1.01354i
$949$	38.6441			1.25444
$950$	3.50375	+	9.72503i	0.113677	+	0.315522i
$951$	19.9588	−	15.3538i	0.647209	−	0.497880i
$952$	3.59849	+	4.49929i	0.116628	+	0.145823i
$953$		−	40.5840i		−	1.31464i	−0.753610	−	0.657322i	$-0.771689\pi$
$953$		−	40.5840i		−	1.31464i	0.753610	−	0.657322i	$-0.228311\pi$
$954$	24.6912	−	2.13996i	0.799408	−	0.0692837i
$955$	0.343490	+	0.198314i	0.0111151	+	0.00641730i
$956$	−27.1160	+	22.4533i	−0.876995	+	0.726193i
$957$	5.42027	−	4.16966i	0.175212	−	0.134786i
$958$	4.78008	−	26.6017i	0.154437	−	0.859461i
$959$	29.5554	+	36.2217i	0.954393	+	1.16966i
$960$	−12.0251	+	8.88163i	−0.388110	+	0.286653i
$961$	−57.6341			−1.85917
$962$	−11.1734	+	4.02556i	−0.360244	+	0.129789i
$963$	4.12292	−	1.11555i	0.132859	−	0.0359482i
$964$	−36.6855	+	30.3773i	−1.18156	+	0.978387i
$965$	−25.7907	−	14.8902i	−0.830231	−	0.479334i
$966$	−20.9855	+	48.4860i	−0.675198	+	1.56001i
$967$	19.3160	−	11.1521i	0.621159	−	0.358626i	−0.156161	−	0.987732i	$-0.549912\pi$
$967$	19.3160	−	11.1521i	0.621159	−	0.358626i	0.777320	+	0.629105i	$0.216579\pi$
$968$	−13.1077	−	23.2249i	−0.421297	−	0.746478i
$969$	−1.54926	−	2.01393i	−0.0497695	−	0.0646969i
$970$	−0.695776	−	0.125025i	−0.0223400	−	0.00401430i
$971$	−15.6110	−	27.0391i	−0.500982	−	0.867726i	−0.999999	−	0.00113424i	$-0.999639\pi$
$971$	−15.6110	−	27.0391i	−0.500982	−	0.867726i	0.499017	−	0.866592i	$-0.333694\pi$
$972$	−29.7377	+	9.36307i	−0.953838	+	0.300321i
$973$	−8.11094	−	9.94038i	−0.260025	−	0.318674i
$974$	7.11141	+	19.7385i	0.227864	+	0.632461i
$975$	−30.3806	+	4.03750i	−0.972957	+	0.129303i
$976$	−42.6065	+	14.8811i	−1.36380	+	0.476332i
$977$			1.42466i			0.0455790i	0.999740	+	0.0227895i	$0.00725475\pi$
$977$			1.42466i			0.0455790i	−0.999740	+	0.0227895i	$0.992745\pi$
$978$	−2.38113	−	4.59694i	−0.0761401	−	0.146994i
$979$	−1.79712	−	1.03757i	−0.0574362	−	0.0331608i
$980$	0.513337	−	15.0957i	0.0163980	−	0.482214i
$981$	24.5802	+	24.4602i	0.784786	+	0.780955i
$982$	0.223511	−	1.24386i	0.00713253	−	0.0396933i
$983$	−18.3226	−	31.7356i	−0.584399	−	1.01221i	−0.994950	−	0.100371i	$-0.967997\pi$
$983$	−18.3226	−	31.7356i	−0.584399	−	1.01221i	0.410551	−	0.911838i	$-0.365336\pi$
$984$	34.2428	−	25.8128i	1.09162	−	0.822882i
$985$	13.6111	−	23.5751i	0.433685	−	0.751164i
$986$	0.606522	−	3.37536i	0.0193156	−	0.107493i
$987$	−6.08509	+	6.47614i	−0.193691	+	0.206138i
$988$	−6.11986	+	16.4790i	−0.194699	+	0.524267i
$989$	54.9882	−	31.7475i	1.74852	−	1.00951i
$990$	3.28717	+	4.70270i	0.104473	+	0.149462i
$991$	31.5197	+	18.1979i	1.00126	+	0.578075i	0.908619	−	0.417625i	$-0.137137\pi$
$991$	31.5197	+	18.1979i	1.00126	+	0.578075i	0.0926357	+	0.995700i	$0.470471\pi$
$992$	−19.0284	+	49.7415i	−0.604152	+	1.57929i
$993$	20.3813	−	15.6788i	0.646782	−	0.497552i
$994$	−11.6525	+	19.4132i	−0.369596	+	0.615748i
$995$	−4.71755	−	8.17104i	−0.149556	−	0.259039i
$996$	−3.48165	−	11.2499i	−0.110320	−	0.356466i
$997$	−5.57308	−	9.65286i	−0.176501	−	0.305709i	0.764179	−	0.645005i	$-0.223145\pi$
$997$	−5.57308	−	9.65286i	−0.176501	−	0.305709i	−0.940680	+	0.339296i	$0.889811\pi$
$998$	6.11430	+	16.9709i	0.193545	+	0.537204i
$999$	−7.52627	−	5.73134i	−0.238121	−	0.181332i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.bb.a.11.10	yes	88
3.2	odd	2		756.2.bb.a.683.35		88
4.3	odd	2	inner	252.2.bb.a.11.35	yes	88
7.2	even	3		252.2.o.a.191.20	yes	88
9.4	even	3		756.2.o.a.179.40		88
9.5	odd	6		252.2.o.a.95.5	✓	88
12.11	even	2		756.2.bb.a.683.10		88
21.2	odd	6		756.2.o.a.359.25		88
28.23	odd	6		252.2.o.a.191.5	yes	88
36.23	even	6		252.2.o.a.95.20	yes	88
36.31	odd	6		756.2.o.a.179.25		88
63.23	odd	6	inner	252.2.bb.a.23.35	yes	88
63.58	even	3		756.2.bb.a.611.10		88
84.23	even	6		756.2.o.a.359.40		88
252.23	even	6	inner	252.2.bb.a.23.10	yes	88
252.247	odd	6		756.2.bb.a.611.35		88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.o.a.95.5	✓	88	9.5	odd	6
252.2.o.a.95.20	yes	88	36.23	even	6
252.2.o.a.191.5	yes	88	28.23	odd	6
252.2.o.a.191.20	yes	88	7.2	even	3
252.2.bb.a.11.10	yes	88	1.1	even	1	trivial
252.2.bb.a.11.35	yes	88	4.3	odd	2	inner
252.2.bb.a.23.10	yes	88	252.23	even	6	inner
252.2.bb.a.23.35	yes	88	63.23	odd	6	inner
756.2.o.a.179.25		88	36.31	odd	6
756.2.o.a.179.40		88	9.4	even	3
756.2.o.a.359.25		88	21.2	odd	6
756.2.o.a.359.40		88	84.23	even	6
756.2.bb.a.611.10		88	63.58	even	3
756.2.bb.a.611.35		88	252.247	odd	6
756.2.bb.a.683.10		88	12.11	even	2
756.2.bb.a.683.35		88	3.2	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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

\(f(q)\)	\(=\)	\(q+(-1.08038 - 0.912567i) q^{2} +(-1.05609 - 1.37284i) q^{3} +(0.334444 + 1.97184i) q^{4} +(0.934343 + 0.539443i) q^{5} +(-0.111830 + 2.44694i) q^{6} +(0.423599 + 2.61162i) q^{7} +(1.43811 - 2.43554i) q^{8} +(-0.769364 + 2.89967i) q^{9} +O(q^{10})\)	\(q+(-1.08038 - 0.912567i) q^{2} +(-1.05609 - 1.37284i) q^{3} +(0.334444 + 1.97184i) q^{4} +(0.934343 + 0.539443i) q^{5} +(-0.111830 + 2.44694i) q^{6} +(0.423599 + 2.61162i) q^{7} +(1.43811 - 2.43554i) q^{8} +(-0.769364 + 2.89967i) q^{9} +(-0.517168 - 1.43545i) q^{10} +(0.626749 + 1.08556i) q^{11} +(2.35381 - 2.54157i) q^{12} +(2.30636 + 3.99474i) q^{13} +(1.92563 - 3.20811i) q^{14} +(-0.246179 - 1.85240i) q^{15} +(-3.77629 + 1.31894i) q^{16} +(0.666743 + 0.384944i) q^{17} +(3.47735 - 2.43065i) q^{18} +(1.65017 - 0.952727i) q^{19} +(-0.751209 + 2.02279i) q^{20} +(3.13797 - 3.33963i) q^{21} +(0.313519 - 1.74477i) q^{22} +(4.07613 - 7.06006i) q^{23} +(-4.86236 + 0.597852i) q^{24} +(-1.91800 - 3.32208i) q^{25} +(1.15372 - 6.42055i) q^{26} +(4.79329 - 2.00609i) q^{27} +(-5.00802 + 1.70871i) q^{28} +(2.72778 + 1.57488i) q^{29} +(-1.42447 + 2.22595i) q^{30} +9.41457i q^{31} +(5.28346 + 2.02116i) q^{32} +(0.828397 - 2.00687i) q^{33} +(-0.369049 - 1.02433i) q^{34} +(-1.01303 + 2.66866i) q^{35} +(-5.97499 - 0.547284i) q^{36} +(-0.910296 - 1.57668i) q^{37} +(-2.65224 - 0.476584i) q^{38} +(3.04841 - 7.38505i) q^{39} +(2.65752 - 1.49985i) q^{40} +(-7.58055 + 4.37663i) q^{41} +(-6.43784 + 0.744461i) q^{42} +(6.74516 + 3.89432i) q^{43} +(-1.93094 + 1.59891i) q^{44} +(-2.28306 + 2.29426i) q^{45} +(-10.8465 + 3.90781i) q^{46} -1.93918 q^{47} +(5.79878 + 3.79132i) q^{48} +(-6.64113 + 2.21256i) q^{49} +(-0.959445 + 5.33941i) q^{50} +(-0.175672 - 1.32186i) q^{51} +(-7.10563 + 5.88380i) q^{52} +(5.05897 + 2.92080i) q^{53} +(-7.00926 - 2.20685i) q^{54} +1.35238i q^{55} +(6.96988 + 2.72410i) q^{56} +(-3.05066 - 1.25925i) q^{57} +(-1.50985 - 4.19075i) q^{58} -8.02424 q^{59} +(3.57030 - 1.10495i) q^{60} +11.2826 q^{61} +(8.59142 - 10.1713i) q^{62} +(-7.89874 - 0.780989i) q^{63} +(-3.86370 - 7.00513i) q^{64} +4.97661i q^{65} +(-2.72639 + 1.41222i) q^{66} +5.37252i q^{67} +(-0.536059 + 1.44345i) q^{68} +(-13.9971 + 1.86017i) q^{69} +(3.52979 - 1.95870i) q^{70} -6.05128 q^{71} +(5.95583 + 6.04385i) q^{72} +(4.18885 - 7.25531i) q^{73} +(-0.455359 + 2.53412i) q^{74} +(-2.53509 + 6.14150i) q^{75} +(2.43051 + 2.93524i) q^{76} +(-2.56958 + 2.09667i) q^{77} +(-10.0328 + 5.19679i) q^{78} -13.2578i q^{79} +(-4.23985 - 0.804754i) q^{80} +(-7.81616 - 4.46180i) q^{81} +(12.1838 + 2.18933i) q^{82} +(1.69976 - 2.94408i) q^{83} +(7.63469 + 5.07066i) q^{84} +(0.415311 + 0.719340i) q^{85} +(-3.73351 - 10.3627i) q^{86} +(-0.718710 - 5.40800i) q^{87} +(3.54526 + 0.0346819i) q^{88} +(-1.43369 + 0.827739i) q^{89} +(4.56023 - 0.395230i) q^{90} +(-9.45577 + 7.71552i) q^{91} +(15.2845 + 5.67627i) q^{92} +(12.9247 - 9.94260i) q^{93} +(2.09505 + 1.76963i) q^{94} +2.05577 q^{95} +(-2.80506 - 9.38785i) q^{96} +(0.231659 - 0.401245i) q^{97} +(9.19405 + 3.67006i) q^{98} +(-3.62996 + 0.982173i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9}+O(q^{10}) \) 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9	\( 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 6 q^{12} - 4 q^{13} - 18 q^{14} - 2 q^{16} + 2 q^{18} - 6 q^{20} - 6 q^{21} - 6 q^{22} - 14 q^{24} + 30 q^{25} + 6 q^{26} - 24 q^{29} - 29 q^{30} + 10 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} - 45 q^{38} - 4 q^{40} - 12 q^{41} - 46 q^{42} + 57 q^{44} - 18 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} - 7 q^{52} + 23 q^{54} - 24 q^{56} - 28 q^{57} + 5 q^{58} - 19 q^{60} - 4 q^{61} - 8 q^{64} + 60 q^{66} - 12 q^{68} - 6 q^{69} - 27 q^{70} - 10 q^{72} - 4 q^{73} + 51 q^{74} - 6 q^{76} - 30 q^{77} + 55 q^{78} - 87 q^{80} - 34 q^{81} - 4 q^{82} - 55 q^{84} - 14 q^{85} + 81 q^{86} + 9 q^{88} - 60 q^{89} + 41 q^{90} + 24 q^{92} + 30 q^{93} - 18 q^{94} - 29 q^{96} - 4 q^{97} + 57 q^{98}+O(q^{100}) \) 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 6 * q^12 - 4 * q^13 - 18 * q^14 - 2 * q^16 + 2 * q^18 - 6 * q^20 - 6 * q^21 - 6 * q^22 - 14 * q^24 + 30 * q^25 + 6 * q^26 - 24 * q^29 - 29 * q^30 + 10 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 - 45 * q^38 - 4 * q^40 - 12 * q^41 - 46 * q^42 + 57 * q^44 - 18 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 - 7 * q^52 + 23 * q^54 - 24 * q^56 - 28 * q^57 + 5 * q^58 - 19 * q^60 - 4 * q^61 - 8 * q^64 + 60 * q^66 - 12 * q^68 - 6 * q^69 - 27 * q^70 - 10 * q^72 - 4 * q^73 + 51 * q^74 - 6 * q^76 - 30 * q^77 + 55 * q^78 - 87 * q^80 - 34 * q^81 - 4 * q^82 - 55 * q^84 - 14 * q^85 + 81 * q^86 + 9 * q^88 - 60 * q^89 + 41 * q^90 + 24 * q^92 + 30 * q^93 - 18 * q^94 - 29 * q^96 - 4 * q^97 + 57 * q^98

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