LMFDB - Embedded newform 252.2.o.a.95.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(95,252)]

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, 5, 4]))

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

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

chi := DirichletCharacter("252.95");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.o (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			95.20
Character	$\chi$	$=$	252.95
Dual form			252.2.o.a.191.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.250116 - 1.39192i) q^{2} +(1.71695 + 0.228179i) q^{3} +(-1.87488 + 0.696282i) q^{4} +1.07889i q^{5} +(-0.111830 - 2.44694i) q^{6} +(2.47353 + 0.938963i) q^{7} +(1.43811 + 2.43554i) q^{8} +(2.89587 + 0.783546i) q^{9} +O(q^{10})$	\(q+(-0.250116 - 1.39192i) q^{2} +(1.71695 + 0.228179i) q^{3} +(-1.87488 + 0.696282i) q^{4} +1.07889i q^{5} +(-0.111830 - 2.44694i) q^{6} +(2.47353 + 0.938963i) q^{7} +(1.43811 + 2.43554i) q^{8} +(2.89587 + 0.783546i) q^{9} +(1.50172 - 0.269846i) q^{10} -1.25350 q^{11} +(-3.37797 + 0.767676i) q^{12} +(2.30636 - 3.99474i) q^{13} +(0.688293 - 3.67781i) q^{14} +(-0.246179 + 1.85240i) q^{15} +(3.03038 - 2.61090i) q^{16} +(-0.666743 - 0.384944i) q^{17} +(0.366331 - 4.22680i) q^{18} +(-1.65017 + 0.952727i) q^{19} +(-0.751209 - 2.02279i) q^{20} +(4.03269 + 2.17656i) q^{21} +(0.313519 + 1.74477i) q^{22} -8.15225 q^{23} +(1.91343 + 4.50986i) q^{24} +3.83600 q^{25} +(-6.13722 - 2.21113i) q^{26} +(4.79329 + 2.00609i) q^{27} +(-5.29136 - 0.0381722i) q^{28} +(2.72778 - 1.57488i) q^{29} +(2.63997 - 0.120652i) q^{30} +(-8.15326 + 4.70729i) q^{31} +(-4.39211 - 3.56502i) q^{32} +(-2.15220 - 0.286022i) 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} +(1.73885 + 2.05862i) q^{38} +(4.87144 - 6.33252i) q^{39} +(-2.62767 + 1.55155i) q^{40} +(-7.58055 - 4.37663i) q^{41} +(2.02097 - 6.15757i) q^{42} +(6.74516 - 3.89432i) q^{43} +(2.35016 - 0.872788i) q^{44} +(-0.845357 + 3.12431i) q^{45} +(2.03901 + 11.3473i) q^{46} +(0.969589 - 1.67938i) q^{47} +(5.79878 - 3.79132i) q^{48} +(5.23670 + 4.64510i) q^{49} +(-0.959445 - 5.33941i) q^{50} +(-1.05693 - 0.813068i) q^{51} +(-1.54270 + 9.09556i) q^{52} +(-5.05897 - 2.92080i) q^{53} +(1.59344 - 7.17363i) q^{54} -1.35238i q^{55} +(1.27032 + 7.37471i) q^{56} +(-3.05066 + 1.25925i) q^{57} +(-2.87437 - 3.40294i) q^{58} +(4.01212 + 6.94920i) q^{59} +(-0.828235 - 3.64445i) q^{60} +(-5.64131 + 9.77104i) q^{61} +(8.59142 + 10.1713i) q^{62} +(6.42730 + 4.65724i) q^{63} +(-3.86370 + 7.00513i) q^{64} +(4.30987 + 2.48831i) q^{65} +(0.140179 + 3.06723i) q^{66} +(-4.65274 + 2.68626i) q^{67} +(1.51810 + 0.257485i) q^{68} +(-13.9971 - 1.86017i) q^{69} +(3.96794 + 0.742590i) q^{70} -6.05128 q^{71} +(2.25621 + 8.17982i) q^{72} +(4.18885 - 7.25531i) q^{73} +(-1.96693 + 1.66141i) q^{74} +(6.58625 + 0.875295i) q^{75} +(2.43051 - 2.93524i) q^{76} +(-3.10056 - 1.17699i) q^{77} +(-10.0328 - 5.19679i) q^{78} +(-11.4816 - 6.62891i) q^{79} +(2.81686 + 3.26944i) q^{80} +(7.77211 + 4.53809i) q^{81} +(-4.19591 + 11.6462i) q^{82} +(1.69976 + 2.94408i) q^{83} +(-9.07633 - 1.27292i) q^{84} +(0.415311 - 0.719340i) q^{85} +(-7.10765 - 8.41469i) q^{86} +(5.04282 - 2.08158i) q^{87} +(-1.80266 - 3.05294i) 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} +(-15.0729 + 6.22180i) q^{93} +(-2.58007 - 0.929552i) q^{94} +(-1.02788 - 1.78035i) q^{95} +(-6.72759 - 7.12317i) q^{96} +(0.231659 + 0.401245i) q^{97} +(5.15584 - 8.45088i) q^{98} +(-3.62996 - 0.982173i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9}+O(q^{10}) $ 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9	$ 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 3 q^{12} - 4 q^{13} - 3 q^{14} + q^{16} + 5 q^{18} - 6 q^{20} - 6 q^{22} - 14 q^{24} - 60 q^{25} - 6 q^{26} - 24 q^{29} + 22 q^{30} + 27 q^{32} - 26 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} + 8 q^{40} - 12 q^{41} - 13 q^{42} - 57 q^{44} + 42 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} + 14 q^{52} - 22 q^{54} - 66 q^{56} - 28 q^{57} - 10 q^{58} + 32 q^{60} + 2 q^{61} - 8 q^{64} + 18 q^{65} - 93 q^{66} - 6 q^{69} + 30 q^{70} + 53 q^{72} - 4 q^{73} - 6 q^{76} - 30 q^{77} + 55 q^{78} + 87 q^{80} + 26 q^{81} - 4 q^{82} - 7 q^{84} - 14 q^{85} - 18 q^{88} + 60 q^{89} + 41 q^{90} + 24 q^{92} - 30 q^{93} + 9 q^{94} - 20 q^{96} - 4 q^{97} - 57 q^{98}+O(q^{100}) $ 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 3 * q^12 - 4 * q^13 - 3 * q^14 + q^16 + 5 * q^18 - 6 * q^20 - 6 * q^22 - 14 * q^24 - 60 * q^25 - 6 * q^26 - 24 * q^29 + 22 * q^30 + 27 * q^32 - 26 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 + 8 * q^40 - 12 * q^41 - 13 * q^42 - 57 * q^44 + 42 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 + 14 * q^52 - 22 * q^54 - 66 * q^56 - 28 * q^57 - 10 * q^58 + 32 * q^60 + 2 * q^61 - 8 * q^64 + 18 * q^65 - 93 * q^66 - 6 * q^69 + 30 * q^70 + 53 * q^72 - 4 * q^73 - 6 * q^76 - 30 * q^77 + 55 * q^78 + 87 * q^80 + 26 * q^81 - 4 * q^82 - 7 * q^84 - 14 * q^85 - 18 * q^88 + 60 * q^89 + 41 * q^90 + 24 * q^92 - 30 * q^93 + 9 * q^94 - 20 * q^96 - 4 * q^97 - 57 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$	$-1$

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 $

$2$	−0.250116	−	1.39192i	−0.176858	−	0.984236i
$2$	−0.250116	−	1.39192i	−0.176858	−	0.984236i
$3$	1.71695	+	0.228179i	0.991284	+	0.131739i
$3$	1.71695	+	0.228179i	0.991284	+	0.131739i
$4$	−1.87488	+	0.696282i	−0.937442	+	0.348141i
$5$			1.07889i			0.482493i	0.970464	+	0.241246i	$0.0775562\pi$
$5$			1.07889i			0.482493i	−0.970464	+	0.241246i	$0.922444\pi$
$6$	−0.111830	−	2.44694i	−0.0456546	−	0.998957i
$7$	2.47353	+	0.938963i	0.934906	+	0.354895i
$7$	2.47353	+	0.938963i	0.934906	+	0.354895i
$8$	1.43811	+	2.43554i	0.508448	+	0.861093i
$9$	2.89587	+	0.783546i	0.965290	+	0.261182i
$10$	1.50172	−	0.269846i	0.474887	−	0.0853329i
$11$	−1.25350			−0.377944			−0.188972	−	0.981983i	$-0.560515\pi$
$11$	−1.25350			−0.377944			−0.188972	+	0.981983i	$0.560515\pi$
$12$	−3.37797	+	0.767676i	−0.975136	+	0.221609i
$13$	2.30636	−	3.99474i	0.639670	−	1.10794i	−0.345835	−	0.938295i	$-0.612404\pi$
$13$	2.30636	−	3.99474i	0.639670	−	1.10794i	0.985505	−	0.169646i	$-0.0542625\pi$
$14$	0.688293	−	3.67781i	0.183954	−	0.982935i
$15$	−0.246179	+	1.85240i	−0.0635632	+	0.478288i
$16$	3.03038	−	2.61090i	0.757596	−	0.652724i
$17$	−0.666743	−	0.384944i	−0.161709	−	0.0933627i	0.416962	−	0.908924i	$-0.363095\pi$
$17$	−0.666743	−	0.384944i	−0.161709	−	0.0933627i	−0.578671	+	0.815561i	$0.696428\pi$
$18$	0.366331	−	4.22680i	0.0863452	−	0.996265i
$19$	−1.65017	+	0.952727i	−0.378575	+	0.218571i	−0.677198	−	0.735801i	$-0.736806\pi$
$19$	−1.65017	+	0.952727i	−0.378575	+	0.218571i	0.298623	+	0.954371i	$0.403473\pi$
$20$	−0.751209	−	2.02279i	−0.167976	−	0.452309i
$21$	4.03269	+	2.17656i	0.880005	+	0.474965i
$22$	0.313519	+	1.74477i	0.0668425	+	0.371986i
$23$	−8.15225			−1.69986			−0.849931	−	0.526894i	$-0.823357\pi$
$23$	−8.15225			−1.69986			−0.849931	+	0.526894i	$0.823357\pi$
$24$	1.91343	+	4.50986i	0.390577	+	0.920570i
$25$	3.83600			0.767201
$26$	−6.13722	−	2.21113i	−1.20361	−	0.433638i
$27$	4.79329	+	2.00609i	0.922469	+	0.386072i
$28$	−5.29136	−	0.0381722i	−0.999974	−	0.00721386i
$29$	2.72778	−	1.57488i	0.506535	−	0.292448i	−0.224873	−	0.974388i	$-0.572197\pi$
$29$	2.72778	−	1.57488i	0.506535	−	0.292448i	0.731408	+	0.681940i	$0.238863\pi$
$30$	2.63997	−	0.120652i	0.481990	−	0.0220280i
$31$	−8.15326	+	4.70729i	−1.46437	+	0.845453i	−0.999209	−	0.0397735i	$-0.987336\pi$
$31$	−8.15326	+	4.70729i	−1.46437	+	0.845453i	−0.465160	+	0.885227i	$0.654003\pi$
$32$	−4.39211	−	3.56502i	−0.776422	−	0.630213i
$33$	−2.15220	−	0.286022i	−0.374650	−	0.0497900i
$34$	−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	$0.881149\pi$
$38$	1.73885	+	2.05862i	0.282079	+	0.333951i
$39$	4.87144	−	6.33252i	0.780055	−	1.01402i
$40$	−2.62767	+	1.55155i	−0.415471	+	0.245322i
$41$	−7.58055	−	4.37663i	−1.18388	−	0.683515i	−0.226973	−	0.973901i	$-0.572883\pi$
$41$	−7.58055	−	4.37663i	−1.18388	−	0.683515i	−0.956910	+	0.290386i	$0.906216\pi$
$42$	2.02097	−	6.15757i	0.311842	−	0.950134i
$43$	6.74516	−	3.89432i	1.02863	−	0.593878i	0.112036	−	0.993704i	$-0.464263\pi$
$43$	6.74516	−	3.89432i	1.02863	−	0.593878i	0.916591	+	0.399826i	$0.130930\pi$
$44$	2.35016	−	0.872788i	0.354300	−	0.131578i
$45$	−0.845357	+	3.12431i	−0.126018	+	0.465745i
$46$	2.03901	+	11.3473i	0.300635	+	1.67307i
$47$	0.969589	−	1.67938i	0.141429	−	0.244962i	−0.786606	−	0.617455i	$-0.788164\pi$
$47$	0.969589	−	1.67938i	0.141429	−	0.244962i	0.928035	+	0.372493i	$0.121497\pi$
$48$	5.79878	−	3.79132i	0.836982	−	0.547230i
$49$	5.23670	+	4.64510i	0.748100	+	0.663586i
$50$	−0.959445	−	5.33941i	−0.135686	−	0.755107i
$51$	−1.05693	−	0.813068i	−0.148000	−	0.113852i
$52$	−1.54270	+	9.09556i	−0.213934	+	1.26133i
$53$	−5.05897	−	2.92080i	−0.694903	−	0.401202i	0.110543	−	0.993871i	$-0.464741\pi$
$53$	−5.05897	−	2.92080i	−0.694903	−	0.401202i	−0.805446	+	0.592669i	$0.798074\pi$
$54$	1.59344	−	7.17363i	0.216840	−	0.976207i
$55$		−	1.35238i		−	0.182355i
$56$	1.27032	+	7.37471i	0.169754	+	0.985487i
$57$	−3.05066	+	1.25925i	−0.404070	+	0.166792i
$58$	−2.87437	−	3.40294i	−0.377423	−	0.446829i
$59$	4.01212	+	6.94920i	0.522334	+	0.904709i	0.999662	+	0.0259837i	$0.00827179\pi$
$59$	4.01212	+	6.94920i	0.522334	+	0.904709i	−0.477329	+	0.878725i	$0.658395\pi$
$60$	−0.828235	−	3.64445i	−0.106925	−	0.470496i
$61$	−5.64131	+	9.77104i	−0.722296	+	1.25105i	0.237781	+	0.971319i	$0.423580\pi$
$61$	−5.64131	+	9.77104i	−0.722296	+	1.25105i	−0.960077	+	0.279735i	$0.909754\pi$
$62$	8.59142	+	10.1713i	1.09111	+	1.29176i
$63$	6.42730	+	4.65724i	0.809763	+	0.586757i
$64$	−3.86370	+	7.00513i	−0.482962	+	0.875641i
$65$	4.30987	+	2.48831i	0.534574	+	0.308636i
$66$	0.140179	+	3.06723i	0.0172549	+	0.377550i
$67$	−4.65274	+	2.68626i	−0.568423	+	0.328179i	−0.756519	−	0.653972i	$-0.773102\pi$
$67$	−4.65274	+	2.68626i	−0.568423	+	0.328179i	0.188096	+	0.982151i	$0.439768\pi$
$68$	1.51810	+	0.257485i	0.184096	+	0.0312246i
$69$	−13.9971	−	1.86017i	−1.68505	−	0.223938i
$70$	3.96794	+	0.742590i	0.474259	+	0.0887565i
$71$	−6.05128			−0.718155			−0.359077	−	0.933308i	$-0.616909\pi$
$71$	−6.05128			−0.718155			−0.359077	+	0.933308i	$0.616909\pi$
$72$	2.25621	+	8.17982i	0.265897	+	0.964001i
$73$	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	$0.00356548\pi$
$74$	−1.96693	+	1.66141i	−0.228651	+	0.193135i
$75$	6.58625	+	0.875295i	0.760514	+	0.101070i
$76$	2.43051	−	2.93524i	0.278799	−	0.336695i
$77$	−3.10056	−	1.17699i	−0.353342	−	0.134130i
$78$	−10.0328	−	5.19679i	−1.13599	−	0.588421i
$79$	−11.4816	−	6.62891i	−1.29178	−	0.745811i	−0.312812	−	0.949815i	$-0.601271\pi$
$79$	−11.4816	−	6.62891i	−1.29178	−	0.745811i	−0.978970	+	0.204004i	$0.934604\pi$
$80$	2.81686	+	3.26944i	0.314935	+	0.365534i
$81$	7.77211	+	4.53809i	0.863568	+	0.504233i
$82$	−4.19591	+	11.6462i	−0.463361	+	1.28611i
$83$	1.69976	+	2.94408i	0.186573	+	0.323155i	0.944106	−	0.329643i	$-0.106928\pi$
$83$	1.69976	+	2.94408i	0.186573	+	0.323155i	−0.757532	+	0.652798i	$0.773595\pi$
$84$	−9.07633	−	1.27292i	−0.990308	−	0.138887i
$85$	0.415311	−	0.719340i	0.0450468	−	0.0780234i
$86$	−7.10765	−	8.41469i	−0.766437	−	0.907379i
$87$	5.04282	−	2.08158i	0.540648	−	0.223169i
$88$	−1.80266	−	3.05294i	−0.192165	−	0.325445i
$89$	1.43369	−	0.827739i	0.151970	−	0.0877401i	−0.422087	−	0.906556i	$-0.638702\pi$
$89$	1.43369	−	0.827739i	0.151970	−	0.0877401i	0.574057	+	0.818815i	$0.305369\pi$
$90$	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
$93$	−15.0729	+	6.22180i	−1.56298	+	0.645170i
$94$	−2.58007	−	0.929552i	−0.266114	−	0.0958760i
$95$	−1.02788	−	1.78035i	−0.105459	−	0.182660i
$96$	−6.72759	−	7.12317i	−0.686631	−	0.727006i
$97$	0.231659	+	0.401245i	0.0235214	+	0.0407403i	0.877547	−	0.479492i	$-0.159179\pi$
$97$	0.231659	+	0.401245i	0.0235214	+	0.0407403i	−0.854025	+	0.520232i	$0.825846\pi$
$98$	5.15584	−	8.45088i	0.520818	−	0.853668i
$99$	−3.62996	−	0.982173i	−0.364825	−	0.0987121i
$100$	−7.19206	+	2.67094i	−0.719206	+	0.267094i
$101$			9.69771i			0.964958i	0.875908	+	0.482479i	$0.160264\pi$
$101$			9.69771i			0.964958i	−0.875908	+	0.482479i	$0.839736\pi$
$102$	−0.867371	+	1.67453i	−0.0858826	+	0.165803i
$103$		−	6.40862i		−	0.631460i	−0.948849	−	0.315730i	$-0.897751\pi$
$103$		−	6.40862i		−	0.631460i	0.948849	−	0.315730i	$-0.102249\pi$
$104$	13.0461	−	0.127625i	1.27928	−	0.0125147i
$105$	−2.34827	+	4.35081i	−0.229167	+	0.424596i
$106$	−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	$0.855256\pi$
$108$	−10.3837	−	0.423705i	−0.999169	−	0.0407711i
$109$	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	$-0.0200700\pi$
$110$	−1.88241	+	0.338252i	−0.179481	+	0.0322510i
$111$	−1.20317	−	2.91480i	−0.114200	−	0.276660i
$112$	9.94728	−	3.61271i	0.939929	−	0.341369i
$113$	0.841153	+	0.485640i	0.0791290	+	0.0456851i	0.539042	−	0.842279i	$-0.318786\pi$
$113$	0.841153	+	0.485640i	0.0791290	+	0.0456851i	−0.459913	+	0.887964i	$0.652120\pi$
$114$	2.51580	+	3.93132i	0.235626	+	0.368202i
$115$		−	8.79536i		−	0.820171i
$116$	−4.01770	+	4.85202i	−0.373034	+	0.450499i
$117$	9.80899	−	9.76110i	0.906841	−	0.902414i
$118$	8.66924	−	7.32266i	0.798068	−	0.674105i
$119$	−1.28776	−	1.57822i	−0.118049	−	0.144675i
$120$	−4.86562	+	2.06437i	−0.444169	+	0.188450i
$121$	−9.42874			−0.857159
$122$	15.0115	+	5.40837i	1.35908	+	0.489651i
$123$	−12.0168	−	9.24420i	−1.08352	−	0.833521i
$124$	12.0088	−	14.5026i	1.07842	−	1.30237i
$125$			9.53305i			0.852662i
$126$	4.87494	−	10.1111i	0.434294	−	0.900771i
$127$		−	2.62932i		−	0.233315i	−0.993172	−	0.116657i	$-0.962782\pi$
$127$		−	2.62932i		−	0.233315i	0.993172	−	0.116657i	$-0.0372179\pi$
$128$	10.7170	+	3.62586i	0.947254	+	0.320484i
$129$	12.4697	−	5.14726i	1.09790	−	0.453191i
$130$	2.38556	−	6.62136i	0.209227	−	0.580732i
$131$	15.9930			1.39731			0.698657	−	0.715456i	$-0.253781\pi$
$131$	15.9930			1.39731			0.698657	+	0.715456i	$0.253781\pi$
$132$	4.23428	−	0.962280i	0.368546	−	0.0837557i
$133$	−4.97632	+	0.807149i	−0.431502	+	0.0699887i
$134$	4.90278	+	5.80437i	0.423536	+	0.501421i
$135$	−2.16434	+	5.17141i	−0.186277	+	0.445084i
$136$	−0.0213013	−	2.17747i	−0.00182658	−	0.186716i
$137$		−	17.6697i		−	1.50962i	−0.655941	−	0.754812i	$-0.727728\pi$
$137$		−	17.6697i		−	1.50962i	0.655941	−	0.754812i	$-0.272272\pi$
$138$	0.911670	+	19.9480i	0.0776065	+	1.69809i
$139$	−4.19947	−	2.42457i	−0.356194	−	0.205649i	0.311216	−	0.950339i	$-0.399264\pi$
$139$	−4.19947	−	2.42457i	−0.356194	−	0.205649i	−0.667410	+	0.744690i	$0.732597\pi$
$140$	0.0411834	−	5.70878i	0.00348064	−	0.482480i
$141$	2.04794	−	2.66218i	0.172468	−	0.224196i
$142$	1.51352	+	8.42290i	0.127012	+	0.706834i
$143$	−2.89102	+	5.00740i	−0.241759	+	0.418740i
$144$	10.8213	−	5.18637i	0.901779	−	0.432198i
$145$	1.69912	+	2.94296i	0.141104	+	0.244400i
$146$	−11.1465	−	4.01588i	−0.922492	−	0.332357i
$147$	7.93126	+	9.17034i	0.654159	+	0.756357i
$148$	2.80451	+	2.32227i	0.230530	+	0.190889i
$149$		−	19.2323i		−	1.57557i	−0.615951	−	0.787785i	$-0.711228\pi$
$149$		−	19.2323i		−	1.57557i	0.615951	−	0.787785i	$-0.288772\pi$
$150$	−0.428982	−	9.38645i	−0.0350262	−	0.766401i
$151$		−	5.48999i		−	0.446769i	−0.974730	−	0.223385i	$-0.928289\pi$
$151$		−	5.48999i		−	0.446769i	0.974730	−	0.223385i	$-0.0717106\pi$
$152$	−4.69353	−	2.64893i	−0.380695	−	0.214857i
$153$	−1.62918	−	1.63717i	−0.131711	−	0.132357i
$154$	−0.862773	+	4.61012i	−0.0695243	+	0.371494i
$155$	−5.07863	−	8.79644i	−0.407925	−	0.706547i
$156$	−4.72416	+	15.2646i	−0.378236	+	1.22215i
$157$	−2.54298	−	4.40458i	−0.202952	−	0.351524i	0.746526	−	0.665356i	$-0.231720\pi$
$157$	−2.54298	−	4.40458i	−0.202952	−	0.351524i	−0.949478	+	0.313832i	$0.898387\pi$
$158$	−6.35519	+	17.6395i	−0.505591	+	1.40332i
$159$	−8.01956	−	6.16923i	−0.635992	−	0.489251i
$160$	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	−0.426602	−	0.904439i	$-0.640289\pi$
$163$	1.83036	−	1.05676i	0.143365	−	0.0827716i	0.569967	+	0.821668i	$0.306956\pi$
$164$	17.2600	+	2.92748i	1.34778	+	0.228598i
$165$	0.308585	−	2.32198i	0.0240233	−	0.180766i
$166$	3.67279	−	3.10230i	0.285063	−	0.240785i
$167$	−10.6487	+	18.4441i	−0.824023	+	1.42725i	0.0786412	+	0.996903i	$0.474942\pi$
$167$	−10.6487	+	18.4441i	−0.824023	+	1.42725i	−0.902664	+	0.430346i	$0.858391\pi$
$168$	0.498331	+	12.9519i	0.0384470	+	0.999261i
$169$	−4.13863	−	7.16832i	−0.318356	−	0.551409i
$170$	−1.10514	−	0.398162i	−0.0847603	−	0.0305376i
$171$	−5.52519	+	1.46599i	−0.422521	+	0.112107i
$172$	−9.93484	+	11.9979i	−0.757525	+	0.914833i
$173$	7.25807	+	4.19045i	0.551821	+	0.318594i	0.749856	−	0.661601i	$-0.230123\pi$
$173$	7.25807	+	4.19045i	0.551821	+	0.318594i	−0.198035	+	0.980195i	$0.563456\pi$
$174$	−4.15868	−	6.49857i	−0.315269	−	0.492656i
$175$	9.48847	+	3.60186i	0.717261	+	0.272275i
$176$	−3.79858	+	3.27275i	−0.286328	+	0.246693i
$177$	5.30297	+	12.8469i	0.398596	+	0.965635i
$178$	−1.51073	−	1.78855i	−0.113234	−	0.134057i
$179$	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	$0.106511\pi$
$180$	−0.590457	−	6.44633i	−0.0440101	−	0.480481i
$181$	5.01417			0.372701			0.186350	−	0.982483i	$-0.440334\pi$
$181$	5.01417			0.372701			0.186350	+	0.982483i	$0.440334\pi$
$182$	−13.1044	−	11.2319i	−0.971364	−	0.832565i
$183$	−11.9154	+	15.4892i	−0.880813	+	1.14499i
$184$	−11.7238	−	19.8551i	−0.864291	−	1.46374i
$185$	1.70106	−	0.982106i	0.125064	−	0.0722059i
$186$	12.4302	+	19.4241i	0.911427	+	1.42424i
$187$	0.835760	+	0.482527i	0.0611169	+	0.0352858i
$188$	−0.648547	+	3.82375i	−0.0473001	+	0.278875i
$189$	9.97270	+	9.46284i	0.725407	+	0.688320i
$190$	−2.22101	+	1.87603i	−0.161129	+	0.136101i
$191$	−0.183814	+	0.318375i	−0.0133003	+	0.0230368i	−0.872599	−	0.488437i	$-0.837567\pi$
$191$	−0.183814	+	0.318375i	−0.0133003	+	0.0230368i	0.859299	+	0.511474i	$0.170900\pi$
$192$	−8.23221	+	11.1459i	−0.594109	+	0.804385i
$193$	13.8015	+	23.9049i	0.993453	+	1.72071i	0.595662	+	0.803235i	$0.296890\pi$
$193$	13.8015	+	23.9049i	0.993453	+	1.72071i	0.397791	+	0.917476i	$0.369777\pi$
$194$	0.500560	−	0.422809i	0.0359381	−	0.0303559i
$195$	6.83208	+	5.25573i	0.489255	+	0.376371i
$196$	−13.0525	−	5.06281i	−0.932322	−	0.361630i
$197$			25.2317i			1.79768i	0.438273	+	0.898842i	$0.355590\pi$
$197$			25.2317i			1.79768i	−0.438273	+	0.898842i	$0.644410\pi$
$198$	−0.459196	+	5.29828i	−0.0326336	+	0.376532i
$199$	7.57359	+	4.37261i	0.536877	+	0.309966i	0.743812	−	0.668388i	$-0.233016\pi$
$199$	7.57359	+	4.37261i	0.536877	+	0.309966i	−0.206935	+	0.978355i	$0.566349\pi$
$200$	5.51658	+	9.34273i	0.390081	+	0.660631i
$201$	−8.60149	+	3.55053i	−0.606703	+	0.250435i
$202$	13.4984	−	2.42555i	0.949747	−	0.170661i
$203$	8.22599	−	1.33424i	0.577351	−	0.0936451i
$204$	2.54775	+	0.788487i	0.178378	+	0.0552051i
$205$	4.72189	−	8.17855i	0.329791	−	0.571215i
$206$	−8.92029	+	1.60290i	−0.621506	+	0.111679i
$207$	−23.6079	−	6.38766i	−1.64086	−	0.443973i
$208$	−3.44069	−	18.1273i	−0.238569	−	1.25690i
$209$	2.06849	−	1.19424i	0.143080	−	0.0826074i
$210$	6.64332	+	2.18039i	0.458433	+	0.150461i
$211$	15.5708	+	8.98980i	1.07194	+	0.618883i	0.928710	−	0.370807i	$-0.120919\pi$
$211$	15.5708	+	8.98980i	1.07194	+	0.618883i	0.143227	+	0.989690i	$0.454252\pi$
$212$	11.5187	+	1.95369i	0.791106	+	0.134180i
$213$	−10.3898	−	1.38077i	−0.711896	−	0.0946091i
$214$	−1.53817	+	1.29924i	−0.105147	+	0.0888145i
$215$	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
$219$	8.84758	−	11.5012i	0.597864	−	0.777181i
$220$	0.941639	+	2.53556i	0.0634853	+	0.170947i
$221$	−3.07550	+	1.77564i	−0.206881	+	0.119443i
$222$	−3.75623	+	2.40376i	−0.252102	+	0.161330i
$223$	−16.8987	+	9.75646i	−1.13162	+	0.653341i	−0.944342	−	0.328966i	$-0.893300\pi$
$223$	−16.8987	+	9.75646i	−1.13162	+	0.653341i	−0.187278	+	0.982307i	$0.559966\pi$
$224$	−7.51658	−	12.9422i	−0.502223	−	0.864738i
$225$	11.1086	+	3.00569i	0.740571	+	0.200379i
$226$	0.465586	−	1.29228i	0.0309703	−	0.0859614i
$227$	2.24622			0.149087			0.0745433	−	0.997218i	$-0.476250\pi$
$227$	2.24622			0.149087			0.0745433	+	0.997218i	$0.476250\pi$
$228$	4.84284	−	4.48508i	0.320725	−	0.297032i
$229$	11.2085			0.740676			0.370338	−	0.928897i	$-0.379242\pi$
$229$	11.2085			0.740676			0.370338	+	0.928897i	$0.379242\pi$
$230$	−12.2424	+	2.19986i	−0.807242	+	0.145054i
$231$	−5.05496	−	2.72832i	−0.332592	−	0.179510i
$232$	7.75852	+	4.37875i	0.509372	+	0.287479i
$233$	19.7191	−	11.3848i	1.29184	−	0.745846i	0.312863	−	0.949798i	$-0.398712\pi$
$233$	19.7191	−	11.3848i	1.29184	−	0.745846i	0.978981	+	0.203952i	$0.0653787\pi$
$234$	−16.0401	−	11.2119i	−1.04857	−	0.732947i
$235$	1.81186	+	1.04608i	0.118193	+	0.0682385i
$236$	−12.3609	−	10.2354i	−0.804624	−	0.666266i
$237$	−18.2008	−	14.0014i	−1.18227	−	0.909489i
$238$	−1.87466	+	2.18720i	−0.121516	+	0.141775i
$239$	8.80139	−	15.2444i	0.569314	−	0.986081i	−0.427319	−	0.904101i	$-0.640542\pi$
$239$	8.80139	−	15.2444i	0.569314	−	0.986081i	0.996634	−	0.0819808i	$-0.0261246\pi$
$240$	4.09041	+	6.25623i	0.264035	+	0.403838i
$241$	−23.8149			−1.53405			−0.767027	−	0.641614i	$-0.778265\pi$
$241$	−23.8149			−1.53405			−0.767027	+	0.641614i	$0.778265\pi$
$242$	2.35828	+	13.1241i	0.151596	+	0.843647i
$243$	12.3089	+	9.56513i	0.789614	+	0.613604i
$244$	3.77341	−	22.2475i	0.241568	−	1.42425i
$245$	−5.01154	+	5.64980i	−0.320176	+	0.360953i
$246$	−9.86160	+	19.0386i	−0.628753	+	1.21385i
$247$			8.78934i			0.559252i
$248$	−23.1900	−	13.0880i	−1.47257	−	0.831088i
$249$	2.24664	+	5.44270i	0.142375	+	0.344917i
$250$	13.2692	−	2.38436i	0.839220	−	0.150800i
$251$	21.3912			1.35020			0.675102	−	0.737725i	$-0.264100\pi$
$251$	21.3912			1.35020			0.675102	+	0.737725i	$0.264100\pi$
$252$	−15.2932	−	4.25657i	−0.963380	−	0.268139i
$253$	10.2188			0.642452
$254$	−3.65981	+	0.657635i	−0.229637	+	0.0412637i
$255$	0.877209	−	1.14031i	0.0549329	−	0.0714089i
$256$	2.36643	−	15.8240i	0.147902	−	0.989002i
$257$			16.1062i			1.00467i	0.864672	+	0.502337i	$0.167526\pi$
$257$			16.1062i			1.00467i	−0.864672	+	0.502337i	$0.832474\pi$
$258$	−10.2835	−	16.0695i	−0.640220	−	1.00044i
$259$	−0.771201	−	4.75470i	−0.0479201	−	0.295443i
$260$	−9.81307	−	1.66440i	−0.608581	−	0.103222i
$261$	9.13328	−	2.42331i	0.565336	−	0.149999i
$262$	−4.00010	−	22.2610i	−0.247127	−	1.37529i
$263$	29.4009			1.81294			0.906468	−	0.422274i	$-0.138768\pi$
$263$	29.4009			1.81294			0.906468	+	0.422274i	$0.138768\pi$
$264$	−2.39848	−	5.65309i	−0.147616	−	0.347924i
$265$	3.15121	−	5.45805i	0.193577	−	0.335285i
$266$	2.36814	+	6.72476i	0.145200	+	0.412322i
$267$	2.65045	−	1.09405i	0.162205	−	0.0669550i
$268$	6.85295	−	8.27605i	0.418611	−	0.505540i
$269$	16.5284	+	9.54267i	1.00775	+	0.581827i	0.910533	−	0.413436i	$-0.135671\pi$
$269$	16.5284	+	9.54267i	1.00775	+	0.581827i	0.0972207	+	0.995263i	$0.469005\pi$
$270$	7.73953	+	1.71914i	0.471013	+	0.104624i
$271$	−1.84547	+	1.06548i	−0.112104	+	0.0647233i	−0.555004	−	0.831848i	$-0.687283\pi$
$271$	−1.84547	+	1.06548i	−0.112104	+	0.0647233i	0.442900	+	0.896571i	$0.353950\pi$
$272$	−3.02554	+	0.574269i	−0.183450	+	0.0348202i
$273$	17.9957	−	11.0896i	1.08915	−	0.671172i
$274$	−24.5948	+	4.41947i	−1.48583	+	0.266990i
$275$	−4.80842			−0.289959
$276$	27.5381	−	6.25829i	1.65760	−	0.376705i
$277$	−0.682438			−0.0410037			−0.0205019	−	0.999790i	$-0.506526\pi$
$277$	−0.682438			−0.0410037			−0.0205019	+	0.999790i	$0.506526\pi$
$278$	−2.32445	+	6.45175i	−0.139411	+	0.386950i
$279$	−27.2991	+	7.24323i	−1.63436	+	0.433641i
$280$	−7.95647	+	1.37053i	−0.475490	+	0.0819049i
$281$	−7.86108	+	4.53860i	−0.468953	+	0.270750i	−0.715801	−	0.698304i	$-0.753938\pi$
$281$	−7.86108	+	4.53860i	−0.468953	+	0.270750i	0.246848	+	0.969054i	$0.420605\pi$
$282$	−4.21776	−	2.18472i	−0.251164	−	0.130098i
$283$	−3.26210	+	1.88338i	−0.193912	+	0.111955i	−0.593813	−	0.804603i	$-0.702378\pi$
$283$	−3.26210	+	1.88338i	−0.193912	+	0.111955i	0.399901	+	0.916558i	$0.369045\pi$
$284$	11.3454	−	4.21340i	0.673229	−	0.250019i
$285$	−1.35859	−	3.29132i	−0.0804761	−	0.194961i
$286$	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
$290$	3.67139	−	3.10112i	0.215592	−	0.182104i
$291$	0.306193	+	0.741780i	0.0179493	+	0.0434839i
$292$	−2.80188	+	16.5195i	−0.163967	+	0.966730i
$293$	18.0157	+	10.4014i	1.05249	+	0.607654i	0.923345	−	0.383972i	$-0.125444\pi$
$293$	18.0157	+	10.4014i	1.05249	+	0.607654i	0.129143	+	0.991626i	$0.458778\pi$
$294$	10.7807	−	13.3333i	0.628740	−	0.777615i
$295$	−7.49740	+	4.32862i	−0.436515	+	0.252022i
$296$	2.53096	−	4.48450i	0.147109	−	0.260656i
$297$	−6.00837	−	2.51463i	−0.348641	−	0.145914i
$298$	−26.7698	+	4.81029i	−1.55073	+	0.278653i
$299$	−18.8021	+	32.5661i	−1.08735	+	1.88335i
$300$	−12.9579	+	2.94481i	−0.748125	+	0.170019i
$301$	20.3410	−	3.29926i	1.17243	−	0.190166i
$302$	−7.64163	+	1.37313i	−0.439726	+	0.0790149i
$303$	−2.21281	+	16.6505i	−0.127123	+	0.956548i
$304$	−2.51318	+	7.19555i	−0.144141	+	0.412693i
$305$	−10.5418	−	6.08634i	−0.603624	−	0.348503i
$306$	−1.87133	+	2.67717i	−0.106977	+	0.153044i
$307$			21.4356i			1.22339i	0.791093	+	0.611696i	$0.209513\pi$
$307$			21.4356i			1.22339i	−0.791093	+	0.611696i	$0.790487\pi$
$308$	6.63271	+	0.0478487i	0.377934	+	0.00272643i
$309$	1.46231	−	11.0033i	0.0831880	−	0.625957i
$310$	−10.9737	+	9.26917i	−0.623264	+	0.526454i
$311$	−15.1560	−	26.2509i	−0.859416	−	1.48855i	−0.872487	−	0.488638i	$-0.837494\pi$
$311$	−15.1560	−	26.2509i	−0.859416	−	1.48855i	0.0130710	−	0.999915i	$-0.495839\pi$
$312$	22.4288	+	2.75773i	1.26978	+	0.156126i
$313$	−12.2333	+	21.1886i	−0.691465	+	1.19765i	0.279893	+	0.960031i	$0.409701\pi$
$313$	−12.2333	+	21.1886i	−0.691465	+	1.19765i	−0.971358	+	0.237621i	$0.923632\pi$
$314$	−5.49478	+	4.64129i	−0.310089	+	0.261923i
$315$	−5.02463	+	6.93432i	−0.283106	+	0.390705i
$316$	26.1423	+	4.43400i	1.47062	+	0.249432i
$317$	12.5906	+	7.26919i	0.707159	+	0.408278i	0.810008	−	0.586419i	$-0.199463\pi$
$317$	12.5906	+	7.26919i	0.707159	+	0.408278i	−0.102849	+	0.994697i	$0.532796\pi$
$318$	−6.58125	+	12.7056i	−0.369058	+	0.712495i
$319$	−3.41926	+	1.97411i	−0.191442	+	0.110529i
$320$	−7.55774	−	4.16849i	−0.422491	−	0.233026i
$321$	−0.940896	−	2.27941i	−0.0525157	−	0.127224i
$322$	−5.61114	+	29.9824i	−0.312696	+	1.67085i
$323$	1.46699			0.0816253
$324$	−17.7316	−	3.09682i	−0.985089	−	0.172045i
$325$	8.84722	−	15.3238i	0.490756	−	0.850014i
$326$	−1.92872	−	2.28340i	−0.106822	−	0.126466i
$327$	12.2073	−	15.8686i	0.675064	−	0.877535i
$328$	−0.242186	−	24.7568i	−0.0133725	−	1.36696i
$329$	3.97518	−	3.24358i	0.219159	−	0.178824i
$330$	−3.30919	+	0.151237i	−0.182165	+	0.00832534i
$331$	12.8571	+	7.42307i	0.706692	+	0.408009i	0.809835	−	0.586658i	$-0.199557\pi$
$331$	12.8571	+	7.42307i	0.706692	+	0.408009i	−0.103143	+	0.994667i	$0.532890\pi$
$332$	−5.23677	−	4.33629i	−0.287405	−	0.237985i
$333$	−1.40070	−	5.27912i	−0.0767578	−	0.289294i
$334$	28.3362	+	10.2090i	1.55049	+	0.558612i
$335$	−2.89817	−	5.01978i	−0.158344	−	0.274260i
$336$	17.9034	−	3.93311i	0.976709	−	0.214569i
$337$	−6.10410	+	10.5726i	−0.332511	+	0.575926i	−0.983004	−	0.183586i	$-0.941229\pi$
$337$	−6.10410	+	10.5726i	−0.332511	+	0.575926i	0.650492	+	0.759513i	$0.274563\pi$
$338$	−8.94259	+	7.55355i	−0.486413	+	0.410859i
$339$	1.33341	+	1.02575i	0.0724208	+	0.0557113i
$340$	−0.277797	+	1.63785i	−0.0150656	+	0.0888250i
$341$	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
$345$	2.00692	−	15.1012i	0.108049	−	0.813023i
$346$	4.01741	−	11.1508i	0.215978	−	0.599468i
$347$	−12.9325	−	22.3998i	−0.694253	−	1.20248i	−0.970432	−	0.241376i	$-0.922401\pi$
$347$	−12.9325	−	22.3998i	−0.694253	−	1.20248i	0.276178	−	0.961106i	$-0.410932\pi$
$348$	−8.00534	+	7.41395i	−0.429132	+	0.397430i
$349$	8.56598	+	14.8367i	0.458527	+	0.794191i	0.998883	−	0.0472447i	$-0.0150441\pi$
$349$	8.56598	+	14.8367i	0.458527	+	0.794191i	−0.540357	+	0.841436i	$0.681711\pi$
$350$	2.64029	−	14.1081i	0.141130	−	0.754108i
$351$	19.0689	−	14.5212i	1.01782	−	0.775082i
$352$	5.50549	+	4.46875i	0.293444	+	0.238185i
$353$			1.32022i			0.0702681i	0.999383	+	0.0351340i	$0.0111858\pi$
$353$			1.32022i			0.0702681i	−0.999383	+	0.0351340i	$0.988814\pi$
$354$	16.5556	−	10.5945i	0.879918	−	0.563093i
$355$		−	6.52864i		−	0.346504i
$356$	−2.11165	+	2.55016i	−0.111917	+	0.135158i
$357$	−1.85091	−	3.00357i	−0.0979605	−	0.158966i
$358$	−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	$0.610883\pi$
$360$	−8.82510	+	2.43420i	−0.465124	+	0.128294i
$361$	−7.68462	+	13.3102i	−0.404454	+	0.700535i
$362$	−1.25412	−	6.97933i	−0.0659153	−	0.366826i
$363$	−16.1887	−	2.15144i	−0.849688	−	0.112921i
$364$	−12.3563	+	21.0496i	−0.647646	+	1.10330i
$365$	7.82765	+	4.51930i	0.409718	+	0.236551i
$366$	24.5400	+	12.7112i	1.28272	+	0.664427i
$367$		−	17.4070i		−	0.908639i	−0.890839	−	0.454319i	$-0.849883\pi$
$367$		−	17.4070i		−	0.908639i	0.890839	−	0.454319i	$-0.150117\pi$
$368$	−24.7044	+	21.2847i	−1.28781	+	1.10954i
$369$	−18.5230	−	18.6139i	−0.964268	−	0.968999i
$370$	−1.79248	−	2.12210i	−0.0931863	−	0.110323i
$371$	−9.77099	−	11.9749i	−0.507284	−	0.621704i
$372$	23.9278	−	22.1601i	1.24060	−	1.14895i
$373$	−24.8515			−1.28676			−0.643381	−	0.765546i	$-0.722469\pi$
$373$	−24.8515			−1.28676			−0.643381	+	0.765546i	$0.722469\pi$
$374$	0.462602	−	1.28400i	0.0239206	−	0.0663940i
$375$	−2.17524	+	16.3678i	−0.112329	+	0.845230i
$376$	5.48456	−	0.0536534i	0.282845	−	0.00276696i
$377$		−	14.5290i		−	0.748282i
$378$	10.6772	−	16.2480i	0.549176	−	0.835707i
$379$		−	12.9282i		−	0.664079i	−0.943266	−	0.332039i	$-0.892263\pi$
$379$		−	12.9282i		−	0.664079i	0.943266	−	0.332039i	$-0.107737\pi$
$380$	3.16679	+	2.62225i	0.162453	+	0.134519i
$381$	0.599956	−	4.51443i	0.0307367	−	0.231281i
$382$	0.489127	+	0.176224i	0.0250259	+	0.00901638i
$383$	−4.73664			−0.242031			−0.121015	−	0.992651i	$-0.538615\pi$
$383$	−4.73664			−0.242031			−0.121015	+	0.992651i	$0.538615\pi$
$384$	17.5732	+	8.67083i	0.896778	+	0.442481i
$385$	1.26984	−	3.34516i	0.0647168	−	0.170485i
$386$	29.8217	−	25.1896i	1.51789	−	1.28211i
$387$	22.5845	−	5.99229i	1.14803	−	0.304605i
$388$	−0.713714	−	0.590989i	−0.0362333	−	0.0300029i
$389$		−	31.8600i		−	1.61537i	−0.589615	−	0.807684i	$-0.700721\pi$
$389$		−	31.8600i		−	1.61537i	0.589615	−	0.807684i	$-0.299279\pi$
$390$	5.60675	−	10.8242i	0.283909	−	0.548107i
$391$	5.43546	+	3.13816i	0.274883	+	0.158704i
$392$	−3.78240	+	19.4343i	−0.191040	+	0.981582i
$393$	27.4593	+	3.64927i	1.38514	+	0.184081i
$394$	35.1205	−	6.31084i	1.76935	−	0.317936i
$395$	7.15184	−	12.3874i	0.359848	−	0.623276i
$396$	7.48963	−	0.686019i	0.376368	−	0.0344737i
$397$	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
$399$	−8.72830	+	0.250346i	−0.436961	+	0.0125330i
$400$	11.6246	−	10.0154i	0.581228	−	0.500771i
$401$			12.5022i			0.624329i	0.950028	+	0.312164i	$0.101054\pi$
$401$			12.5022i			0.624329i	−0.950028	+	0.312164i	$0.898946\pi$
$402$	7.09342	+	11.0845i	0.353788	+	0.552847i
$403$			43.4269i			2.16325i
$404$	−6.75234	−	18.1821i	−0.335942	−	0.904592i
$405$	−4.89609	+	8.38523i	−0.243289	+	0.416665i
$406$	−3.91460	−	11.1162i	−0.194278	−	0.551688i
$407$	1.14105	+	1.97636i	0.0565599	+	0.0979647i
$408$	0.460279	−	3.74348i	0.0227872	−	0.185330i
$409$	14.0209	+	24.2849i	0.693288	+	1.20081i	0.970755	+	0.240074i	$0.0771718\pi$
$409$	14.0209	+	24.2849i	0.693288	+	1.20081i	−0.277467	+	0.960735i	$0.589495\pi$
$410$	−12.5649	−	4.52691i	−0.620537	−	0.223568i
$411$	4.03185	−	30.3381i	0.198877	−	1.49647i
$412$	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
$416$	−24.3711	+	9.32308i	−1.19489	+	0.457102i
$417$	−6.65707	−	5.12110i	−0.325998	−	0.250781i
$418$	−2.17965	−	2.58047i	−0.106610	−	0.126215i
$419$	−0.754253	+	1.30640i	−0.0368477	+	0.0638220i	−0.883861	−	0.467749i	$-0.845065\pi$
$419$	−0.754253	+	1.30640i	−0.0368477	+	0.0638220i	0.847013	+	0.531571i	$0.178398\pi$
$420$	1.37333	−	9.79233i	0.0670118	−	0.477817i
$421$	−17.8187	−	30.8630i	−0.868432	−	1.50417i	−0.863598	−	0.504180i	$-0.831795\pi$
$421$	−17.8187	−	30.8630i	−0.868432	−	1.50417i	−0.00483387	−	0.999988i	$-0.501539\pi$
$422$	8.61859	−	23.9218i	0.419546	−	1.16449i
$423$	4.12367	−	4.10354i	0.200500	−	0.199521i
$424$	−0.161626	−	16.5217i	−0.00784924	−	0.802366i
$425$	−2.55763	−	1.47665i	−0.124063	−	0.0716279i
$426$	0.676717	+	14.8071i	0.0327870	+	0.717406i
$427$	−23.1286	+	18.8720i	−1.11927	+	0.913279i
$428$	2.19316	+	1.81604i	0.106011	+	0.0877817i
$429$	−6.10634	+	7.93780i	−0.294817	+	0.383241i
$430$	9.07849	−	7.66835i	0.437804	−	0.369800i
$431$	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	$0.0906855\pi$
$432$	19.7632	−	6.43556i	0.950857	−	0.309631i
$433$	−0.806705			−0.0387678			−0.0193839	−	0.999812i	$-0.506170\pi$
$433$	−0.806705			−0.0387678			−0.0193839	+	0.999812i	$0.506170\pi$
$434$	11.7007	+	33.2261i	0.561649	+	1.59490i
$435$	2.24579	+	5.44064i	0.107677	+	0.260859i
$436$	−3.86583	+	22.7924i	−0.185140	+	1.09156i
$437$	13.4526	−	7.76687i	0.643526	−	0.371540i
$438$	−18.2217	−	9.43849i	−0.870667	−	0.450989i
$439$	−2.63017	−	1.51853i	−0.125531	−	0.0724755i	0.435920	−	0.899986i	$-0.356423\pi$
$439$	−2.63017	−	1.51853i	−0.125531	−	0.0724755i	−0.561451	+	0.827510i	$0.689757\pi$
$440$	3.29378	−	1.94487i	0.157025	−	0.0927180i
$441$	11.5251	+	17.5548i	0.548816	+	0.835943i
$442$	3.24079	+	3.83674i	0.154148	+	0.182495i
$443$	7.57256	−	13.1161i	0.359783	−	0.623163i	−0.628141	−	0.778099i	$-0.716184\pi$
$443$	7.57256	−	13.1161i	0.359783	−	0.623163i	0.987924	+	0.154937i	$0.0495174\pi$
$444$	4.28533	+	4.62716i	0.203373	+	0.219595i
$445$	0.893036	+	1.54678i	0.0423340	+	0.0733246i
$446$	17.8068	+	21.0814i	0.843178	+	0.998232i
$447$	4.38840	−	33.0209i	0.207564	−	1.56184i
$448$	−16.1345	+	13.6995i	−0.762285	+	0.647242i
$449$		−	15.0283i		−	0.709229i	−0.935013	−	0.354614i	$-0.884612\pi$
$449$		−	15.0283i		−	0.709229i	0.935013	−	0.354614i	$-0.115388\pi$
$450$	1.40525	−	16.2140i	0.0662441	−	0.764335i
$451$	9.50220	+	5.48610i	0.447441	+	0.258330i
$452$	−1.91521	−	0.324839i	−0.0900837	−	0.0152791i
$453$	1.25270	−	9.42607i	0.0588570	−	0.442875i
$454$	−0.561814	−	3.12655i	−0.0263672	−	0.146736i
$455$	8.32417	+	10.2017i	0.390243	+	0.478263i
$456$	−7.45414	−	5.61906i	−0.349072	−	0.263137i
$457$	−2.06716	+	3.58042i	−0.0966975	+	0.167485i	−0.910316	−	0.413914i	$-0.864161\pi$
$457$	−2.06716	+	3.58042i	−0.0966975	+	0.167485i	0.813618	+	0.581399i	$0.197495\pi$
$458$	−2.80341	−	15.6013i	−0.130995	−	0.729000i
$459$	−2.42366	−	3.18269i	−0.113127	−	0.148555i
$460$	6.12405	+	16.4903i	0.285535	+	0.768863i
$461$	−27.7292	+	16.0094i	−1.29148	+	0.745634i	−0.978916	−	0.204264i	$-0.934520\pi$
$461$	−27.7292	+	16.0094i	−1.29148	+	0.745634i	−0.312560	+	0.949898i	$0.601187\pi$
$462$	−2.53328	+	7.71850i	−0.117859	+	0.359097i
$463$	−5.84969	−	3.37732i	−0.271858	−	0.156957i	0.357874	−	0.933770i	$-0.383502\pi$
$463$	−5.84969	−	3.37732i	−0.271858	−	0.156957i	−0.629732	+	0.776813i	$0.716835\pi$
$464$	4.15435	−	11.8944i	0.192861	−	0.552185i
$465$	−6.71261	−	16.2619i	−0.311290	−	0.754129i
$466$	−20.7789	−	24.5999i	−0.962562	−	1.13957i
$467$	−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
$471$	−3.36116	−	8.14272i	−0.154874	−	0.375197i
$472$	−11.1552	+	19.7654i	−0.513459	+	0.909775i
$473$	−8.45503	+	4.88152i	−0.388763	+	0.224452i
$474$	−14.9365	+	28.8361i	−0.686057	+	1.32448i
$475$	−6.33006	+	3.65466i	−0.290443	+	0.167687i
$476$	3.51329	+	2.06233i	0.161031	+	0.0945268i
$477$	−12.3615	−	12.4222i	−0.565995	−	0.568772i
$478$	−23.4204	−	8.43795i	−1.07123	−	0.385943i
$479$	−19.1115			−0.873226			−0.436613	−	0.899649i	$-0.643822\pi$
$479$	−19.1115			−0.873226			−0.436613	+	0.899649i	$0.643822\pi$
$480$	7.68510	−	7.25830i	0.350775	−	0.331295i
$481$	−8.39790			−0.382911
$482$	5.95649	+	33.1485i	0.271311	+	1.50987i
$483$	−32.8755	−	17.7439i	−1.49589	−	0.807375i
$484$	17.6778	−	6.56507i	0.803537	−	0.298412i
$485$	−0.432898	+	0.249934i	−0.0196569	+	0.0113489i
$486$	10.2353	−	19.5254i	0.464281	−	0.885688i
$487$	12.8478	+	7.41771i	0.582192	+	0.336128i	0.762004	−	0.647573i	$-0.224216\pi$
$487$	12.8478	+	7.41771i	0.582192	+	0.336128i	−0.179812	+	0.983701i	$0.557549\pi$
$488$	−31.9106	+	0.312169i	−1.44452	+	0.0141312i
$489$	3.38377	−	1.39676i	0.153019	−	0.0631635i
$490$	9.11754	+	5.56256i	0.411888	+	0.251291i
$491$	0.446816	−	0.773908i	0.0201645	−	0.0349260i	−0.855767	−	0.517361i	$-0.826914\pi$
$491$	0.446816	−	0.773908i	0.0201645	−	0.0349260i	0.875932	+	0.482435i	$0.160248\pi$
$492$	28.9667	+	8.96472i	1.30592	+	0.404161i
$493$	−2.42497			−0.109215
$494$	12.2341	−	2.19835i	0.550436	−	0.0989085i
$495$	1.05965	−	3.91632i	0.0476279	−	0.176025i
$496$	−12.4173	+	35.5522i	−0.557551	+	1.59634i
$497$	−14.9680	−	5.68193i	−0.671407	−	0.254869i
$498$	7.01389	−	4.48845i	0.314300	−	0.201132i
$499$		−	12.7553i		−	0.571006i	−0.958378	−	0.285503i	$-0.907839\pi$
$499$		−	12.7553i		−	0.571006i	0.958378	−	0.285503i	$-0.0921606\pi$
$500$	−6.63769	−	17.8734i	−0.296847	−	0.799321i
$501$	−22.4919	+	29.2379i	−1.00487	+	1.30625i
$502$	−5.35029	−	29.7749i	−0.238795	−	1.32892i
$503$	21.6142			0.963728			0.481864	−	0.876246i	$-0.339960\pi$
$503$	21.6142			0.963728			0.481864	+	0.876246i	$0.339960\pi$
$504$	−2.09974	+	22.3515i	−0.0935298	+	0.995616i
$505$	−10.4627			−0.465585
$506$	−2.55589	−	14.2238i	−0.113623	−	0.632325i
$507$	−5.47018	−	13.2520i	−0.242939	−	0.588543i
$508$	1.83075	+	4.92967i	0.0812264	+	0.218719i
$509$			1.92634i			0.0853837i	0.999088	+	0.0426918i	$0.0135934\pi$
$509$			1.92634i			0.0853837i	−0.999088	+	0.0426918i	$0.986407\pi$
$510$	−1.80662	−	0.935795i	−0.0799986	−	0.0414377i
$511$	17.1737	−	14.0130i	0.759721	−	0.619900i
$512$	−22.6177	+	0.663950i	−0.999569	+	0.0293427i
$513$	−9.82100	+	1.25630i	−0.433608	+	0.0554671i
$514$	22.4185	−	4.02840i	0.988837	−	0.177685i
$515$	6.91417			0.304675
$516$	−19.7954	+	18.3330i	−0.871442	+	0.807064i
$517$	−1.21538	+	2.10510i	−0.0534522	+	0.0925820i
$518$	−6.42527	+	2.26268i	−0.282310	+	0.0994162i
$519$	11.5056	+	8.85095i	0.505040	+	0.388514i
$520$	0.137693	+	14.0753i	0.00603825	+	0.617243i
$521$	6.67313	+	3.85274i	0.292355	+	0.168791i	0.639004	−	0.769204i	$-0.279347\pi$
$521$	6.67313	+	3.85274i	0.292355	+	0.168791i	−0.346648	+	0.937995i	$0.612680\pi$
$522$	−5.65744	−	12.1067i	−0.247619	−	0.529895i
$523$	−10.6678	+	6.15904i	−0.466469	+	0.269316i	−0.714761	−	0.699369i	$-0.753464\pi$
$523$	−10.6678	+	6.15904i	−0.466469	+	0.269316i	0.248291	+	0.968685i	$0.420131\pi$
$524$	−29.9850	+	11.1356i	−1.30990	+	0.486463i
$525$	15.4694	+	8.34931i	0.675140	+	0.364394i
$526$	−7.35362	−	40.9237i	−0.320633	−	1.78436i
$527$	7.24817			0.315735
$528$	−7.26876	+	4.75241i	−0.316332	+	0.206822i
$529$	43.4592			1.88953
$530$	−8.38534	−	3.02109i	−0.364236	−	0.131228i
$531$	6.17356	+	23.2676i	0.267910	+	1.00973i
$532$	8.76803	−	4.97824i	0.380142	−	0.215834i
$533$	−34.9670	+	20.1882i	−1.51459	+	0.874448i
$534$	−2.18575	−	3.41557i	−0.0945868	−	0.147806i
$535$	1.33025	−	0.768019i	0.0575117	−	0.0332044i
$536$	−13.2336	−	7.46880i	−0.571606	−	0.322603i
$537$	5.30881	−	6.90107i	0.229092	−	0.297803i
$538$	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	$0.733055\pi$
$542$	1.94464	+	2.30225i	0.0835296	+	0.0988901i
$543$	8.60911	+	1.14413i	0.369452	+	0.0490993i
$544$	1.55607	+	4.06767i	0.0667160	+	0.174400i
$545$	10.8001	+	6.23541i	0.462623	+	0.267096i
$546$	−19.9368	−	22.2748i	−0.853217	−	0.953275i
$547$	7.72518	−	4.46014i	0.330305	−	0.190702i	−0.325671	−	0.945483i	$-0.605590\pi$
$547$	7.72518	−	4.46014i	0.330305	−	0.190702i	0.655977	+	0.754781i	$0.272257\pi$
$548$	12.3031	+	33.1286i	0.525562	+	1.41519i
$549$	−23.9926	+	23.8754i	−1.02398	+	1.01898i
$550$	1.20266	+	6.69294i	0.0512817	+	0.285388i
$551$	−3.00087	+	5.19765i	−0.127841	+	0.221427i
$552$	−15.5987	−	36.7655i	−0.663926	−	1.56484i
$553$	−22.1758	−	27.1776i	−0.943011	−	1.15571i
$554$	0.170688	+	0.949900i	0.00725186	+	0.0403574i
$555$	3.14474	−	1.29809i	0.133487	−	0.0551007i
$556$	9.56170	+	1.62176i	0.405506	+	0.0687781i
$557$	−15.6777	−	9.05152i	−0.664285	−	0.383525i	0.129623	−	0.991563i	$-0.458623\pi$
$557$	−15.6777	−	9.05152i	−0.664285	−	0.383525i	−0.793908	+	0.608038i	$0.791957\pi$
$558$	16.9099	+	36.1866i	0.715855	+	1.53190i
$559$		−	35.9269i		−	1.51954i
$560$	3.89771	+	10.7320i	0.164708	+	0.453509i
$561$	1.32486	+	1.01918i	0.0559357	+	0.0430298i
$562$	8.28354	+	9.80682i	0.349420	+	0.413676i
$563$	11.3493	+	19.6575i	0.478315	+	0.828465i	0.999691	−	0.0248617i	$-0.00791453\pi$
$563$	11.3493	+	19.6575i	0.478315	+	0.828465i	−0.521376	+	0.853327i	$0.674581\pi$
$564$	−1.98602	+	6.41722i	−0.0836267	+	0.270214i
$565$	−0.523950	+	0.907508i	−0.0220427	+	0.0381792i
$566$	3.43741	+	4.06953i	0.144485	+	0.171055i
$567$	14.9634	+	18.5228i	0.628406	+	0.777886i
$568$	−8.70239	−	14.7381i	−0.365144	−	0.618398i
$569$	−12.2758	−	7.08744i	−0.514628	−	0.297121i	0.220106	−	0.975476i	$-0.429360\pi$
$569$	−12.2758	−	7.08744i	−0.514628	−	0.297121i	−0.734734	+	0.678355i	$0.762693\pi$
$570$	−4.24145	+	2.71426i	−0.177655	+	0.113688i
$571$	8.96277	−	5.17466i	0.375080	−	0.216553i	−0.300595	−	0.953752i	$-0.597185\pi$
$571$	8.96277	−	5.17466i	0.375080	−	0.216553i	0.675676	+	0.737199i	$0.263852\pi$
$572$	1.93377	−	11.4013i	0.0808550	−	0.476710i
$573$	−0.388246	+	0.504693i	−0.0162192	+	0.0210838i
$574$	−21.3140	+	24.8674i	−0.889631	+	1.03794i
$575$	−31.2721			−1.30414
$576$	−16.6776	+	17.2586i	−0.694900	+	0.719107i
$577$	−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	$0.897765\pi$
$578$	−17.7261	+	14.9727i	−0.737308	+	0.622783i
$579$	18.2419	+	44.1928i	0.758109	+	1.83659i
$580$	−5.23478	−	4.33465i	−0.217363	−	0.179986i
$581$	1.44004	+	8.87828i	0.0597428	+	0.368333i
$582$	0.955915	−	0.611726i	0.0396240	−	0.0253569i
$583$	6.34140	+	3.66121i	0.262634	+	0.151632i
$584$	23.6946	−	0.231795i	0.980490	−	0.00959176i
$585$	10.5311	+	10.5828i	0.435408	+	0.437544i
$586$	9.97186	−	27.6779i	0.411934	−	1.14336i
$587$	−13.3823	−	23.1788i	−0.552346	−	0.956691i	−0.998105	−	0.0615378i	$-0.980400\pi$
$587$	−13.3823	−	23.1788i	−0.552346	−	0.956691i	0.445759	−	0.895153i	$-0.352934\pi$
$588$	−21.2553	−	11.6709i	−0.876555	−	0.481301i
$589$	8.96951	−	15.5357i	0.369582	−	0.640136i
$590$	7.90032	+	9.35312i	0.325251	+	0.385062i
$591$	−5.75734	+	43.3217i	−0.236825	+	1.78202i
$592$	−6.87509	−	2.40125i	−0.282565	−	0.0986908i
$593$	12.7098	−	7.33798i	0.521927	−	0.301335i	−0.215796	−	0.976439i	$-0.569234\pi$
$593$	12.7098	−	7.33798i	0.521927	−	0.301335i	0.737723	+	0.675104i	$0.235901\pi$
$594$	−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
$597$	12.0058	+	9.23571i	0.491363	+	0.377992i
$598$	50.0321	+	18.0257i	2.04597	+	0.737125i
$599$	8.31289	+	14.3983i	0.339655	+	0.588300i	0.984368	−	0.176125i	$-0.0563562\pi$
$599$	8.31289	+	14.3983i	0.339655	+	0.588300i	−0.644713	+	0.764425i	$0.723023\pi$
$600$	7.33991	+	17.2998i	0.299651	+	0.706262i
$601$	−2.05010	−	3.55088i	−0.0836254	−	0.144843i	0.821179	−	0.570670i	$-0.193317\pi$
$601$	−2.05010	−	3.55088i	−0.0836254	−	0.144843i	−0.904805	+	0.425827i	$0.859983\pi$
$602$	−9.67990	−	27.4878i	−0.394523	−	1.12032i
$603$	−15.5785	+	4.13342i	−0.634407	+	0.168326i
$604$	3.82258	+	10.2931i	0.155539	+	0.418820i
$605$		−	10.1725i		−	0.413573i
$606$	23.7297	−	1.08450i	0.963952	−	0.0440547i
$607$		−	14.6552i		−	0.594836i	−0.954747	−	0.297418i	$-0.903874\pi$
$607$		−	14.6552i		−	0.594836i	0.954747	−	0.297418i	$-0.0961255\pi$
$608$	10.6442	+	1.69842i	0.431680	+	0.0688802i
$609$	14.4281	−	0.413828i	0.584656	−	0.0167692i
$610$	−5.83501	+	16.1957i	−0.236253	+	0.655744i
$611$	−4.47245	−	7.74651i	−0.180936	−	0.313390i
$612$	4.19445	+	1.93514i	0.169551	+	0.0782234i
$613$	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	$-0.0111699\pi$
$614$	29.8366	−	5.36137i	1.20411	−	0.216367i
$615$	9.97344	−	12.9648i	0.402168	−	0.522790i
$616$	−1.59234	−	9.24418i	−0.0641574	−	0.372458i
$617$	−21.6368	−	12.4920i	−0.871065	−	0.502909i	−0.00336280	−	0.999994i	$-0.501070\pi$
$617$	−21.6368	−	12.4920i	−0.871065	−	0.502909i	−0.867702	+	0.497085i	$0.834404\pi$
$618$	−15.6815	+	0.716679i	−0.630802	+	0.0288290i
$619$		−	41.2872i		−	1.65947i	−0.558156	−	0.829736i	$-0.688491\pi$
$619$		−	41.2872i		−	1.65947i	0.558156	−	0.829736i	$-0.311509\pi$
$620$	15.6466	+	12.9562i	0.628384	+	0.520332i
$621$	−39.0761	−	16.3541i	−1.56807	−	0.656269i
$622$	−32.7484	+	27.6617i	−1.31309	+	1.10913i
$623$	4.32348	−	0.701259i	0.173217	−	0.0280953i
$624$	−1.77125	−	31.9088i	−0.0709066	−	1.27737i
$625$	8.89494			0.355798
$626$	32.5526	+	11.7281i	1.30106	+	0.468750i
$627$	3.82400	−	1.57847i	0.152716	−	0.0630381i
$628$	7.83463	+	6.48744i	0.312636	+	0.258877i
$629$			1.40165i			0.0558876i
$630$	10.9088	+	5.25950i	0.434616	+	0.209544i
$631$		−	14.3055i		−	0.569494i	−0.958603	−	0.284747i	$-0.908090\pi$
$631$		−	14.3055i		−	0.569494i	0.958603	−	0.284747i	$-0.0919096\pi$
$632$	−0.366819	−	37.4970i	−0.0145913	−	1.49155i
$633$	24.6831	+	18.9880i	0.981063	+	0.754705i
$634$	6.96902	−	19.3433i	0.276775	−	0.768219i
$635$	2.83674			0.112573
$636$	19.3313	+	5.98271i	0.766534	+	0.237230i
$637$	30.6337	−	10.2059i	1.21375	−	0.404374i
$638$	3.60302	+	4.26558i	0.142645	+	0.168876i
$639$	−17.5237	−	4.74146i	−0.693227	−	0.187569i
$640$	−3.91190	+	11.5624i	−0.154631	+	0.457043i
$641$			21.3934i			0.844989i	0.906365	+	0.422495i	$0.138845\pi$
$641$			21.3934i			0.844989i	−0.906365	+	0.422495i	$0.861155\pi$
$642$	−2.93742	+	1.87977i	−0.115931	+	0.0741885i
$643$	3.46660	+	2.00144i	0.136709	+	0.0789293i	0.566795	−	0.823859i	$-0.308183\pi$
$643$	3.46660	+	2.00144i	0.136709	+	0.0789293i	−0.430085	+	0.902788i	$0.641517\pi$
$644$	43.1365	+	0.311189i	1.69982	+	0.0122626i
$645$	5.55331	+	13.4534i	0.218662	+	0.529728i
$646$	−0.366916	−	2.04193i	−0.0144361	−	0.0803386i
$647$	−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	$0.277964\pi$
$648$	0.124430	+	25.4555i	0.00488807	+	0.999988i
$649$	−5.02918	−	8.71080i	−0.197413	−	0.341929i
$650$	−23.5424	−	8.48190i	−0.923408	−	0.332687i
$651$	−43.1252	+	1.23692i	−1.69021	+	0.0484788i
$652$	−2.69591	+	3.25574i	−0.105580	+	0.127505i
$653$			23.8533i			0.933451i	0.884402	+	0.466725i	$0.154566\pi$
$653$			23.8533i			0.933451i	−0.884402	+	0.466725i	$0.845434\pi$
$654$	−25.1411	−	13.0226i	−0.983093	−	0.509223i
$655$			17.2546i			0.674194i
$656$	−34.3989	+	6.52916i	−1.34305	+	0.254921i
$657$	17.8152	−	17.7283i	0.695039	−	0.691645i
$658$	−5.50906	−	4.72186i	−0.214766	−	0.184077i
$659$	20.6341	+	35.7394i	0.803792	+	1.39221i	0.917103	+	0.398649i	$0.130521\pi$
$659$	20.6341	+	35.7394i	0.803792	+	1.39221i	−0.113311	+	0.993560i	$0.536146\pi$
$660$	1.03819	+	4.56830i	0.0404115	+	0.177821i
$661$	−24.7727	−	42.9076i	−0.963546	−	1.66891i	−0.713472	−	0.700683i	$-0.752879\pi$
$661$	−24.7727	−	42.9076i	−0.963546	−	1.66891i	−0.250074	−	0.968227i	$-0.580455\pi$
$662$	7.11655	−	19.7527i	0.276593	−	0.767712i
$663$	−5.68567	+	2.34693i	−0.220813	+	0.0911474i
$664$	−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
$668$	7.12280	−	41.9951i	0.275590	−	1.62484i
$669$	−31.2405	+	12.8955i	−1.20783	+	0.498568i
$670$	−6.26225	+	5.28955i	−0.241932	+	0.204353i
$671$	7.07137	−	12.2480i	0.272987	−	0.472828i
$672$	−9.95249	−	23.9363i	−0.383926	−	0.923364i
$673$	−5.45954	−	9.45620i	−0.210450	−	0.364510i	0.741406	−	0.671057i	$-0.234160\pi$
$673$	−5.45954	−	9.45620i	−0.210450	−	0.364510i	−0.951855	+	0.306547i	$0.900826\pi$
$674$	16.2430	+	5.85204i	0.625655	+	0.225412i
$675$	18.3871	+	7.69537i	0.707719	+	0.296195i
$676$	12.7506	+	10.5581i	0.490409	+	0.406081i
$677$	17.2347	+	9.95047i	0.662384	+	0.382428i	0.793185	−	0.608981i	$-0.208421\pi$
$677$	17.2347	+	9.95047i	0.662384	+	0.382428i	−0.130801	+	0.991409i	$0.541755\pi$
$678$	1.09426	−	2.11256i	0.0420249	−	0.0811322i
$679$	0.196261	+	1.21001i	0.00753181	+	0.0464360i
$680$	2.34924	−	0.0229817i	0.0900893	−	0.000881310i
$681$	3.85665	+	0.512539i	0.147787	+	0.0196405i
$682$	−10.7693	−	12.7497i	−0.412379	−	0.488212i
$683$	−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	$0.935531\pi$
$684$	9.33834	−	6.59564i	0.357060	−	0.252191i
$685$	19.0636			0.728383
$686$	20.6882	−	16.0624i	0.789878	−	0.613264i
$687$	19.2444	+	2.55753i	0.734220	+	0.0975760i
$688$	10.2727	−	29.4122i	0.391644	−	1.12133i
$689$	−23.3356	+	13.4728i	−0.889017	+	0.513274i
$690$	−21.5217	+	0.983588i	−0.819316	+	0.0374446i
$691$	−34.1595	−	19.7220i	−1.29949	−	0.750261i	−0.319174	−	0.947696i	$-0.603406\pi$
$691$	−34.1595	−	19.7220i	−1.29949	−	0.750261i	−0.980316	+	0.197435i	$0.936739\pi$
$692$	−16.5258	−	2.80294i	−0.628216	−	0.106552i
$693$	−8.05660	−	5.83784i	−0.306045	−	0.221761i
$694$	−27.9441	+	23.6035i	−1.06074	+	0.895978i
$695$	2.61583	−	4.53075i	0.0992241	−	0.171861i
$696$	12.3219	+	9.28846i	0.467060	+	0.352078i
$697$	3.36952	+	5.83617i	0.127630	+	0.221061i
$698$	18.5090	−	15.6341i	0.700578	−	0.591758i
$699$	36.4547	−	15.0478i	1.37884	−	0.569159i
$700$	−20.2977	−	0.146429i	−0.767181	−	0.00553448i
$701$		−	17.5139i		−	0.661493i	−0.943720	−	0.330746i	$-0.892700\pi$
$701$		−	17.5139i		−	0.661493i	0.943720	−	0.330746i	$-0.107300\pi$
$702$	−24.9817	−	22.9104i	−0.942875	−	0.864697i
$703$	3.00429	+	1.73453i	0.113309	+	0.0654189i
$704$	4.84313	−	8.78091i	0.182532	−	0.330943i
$705$	2.87219	+	2.20949i	0.108173	+	0.0832144i
$706$	1.83764	−	0.330207i	0.0691604	−	0.0124275i
$707$	−9.10579	+	23.9876i	−0.342458	+	0.902145i
$708$	−18.8876	−	20.3942i	−0.709838	−	0.766460i
$709$	−15.5420	+	26.9195i	−0.583692	+	1.01098i	0.411345	+	0.911480i	$0.365059\pi$
$709$	−15.5420	+	26.9195i	−0.583692	+	1.01098i	−0.995037	+	0.0995043i	$0.968274\pi$
$710$	−9.08735	+	1.63292i	−0.341042	+	0.0612823i
$711$	−28.0552	−	28.1928i	−1.05215	−	1.05731i
$712$	4.07778	+	2.30142i	0.152821	+	0.0862493i
$713$	66.4674	−	38.3750i	2.48922	−	1.43715i
$714$	−3.71779	+	3.32756i	−0.139135	+	0.124531i
$715$	−5.40241	−	3.11908i	−0.202039	−	0.116647i
$716$	−1.68121	+	9.91217i	−0.0628296	+	0.370435i
$717$	18.5900	−	24.1657i	0.694258	−	0.902486i
$718$	26.3385	−	22.2474i	0.982945	−	0.830265i
$719$	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
$723$	−40.8892	−	5.43407i	−1.52068	−	0.202095i
$724$	−9.40100	+	3.49128i	−0.349385	+	0.129752i
$725$	10.4638	−	6.04125i	0.388614	−	0.224367i
$726$	1.05442	+	23.0715i	0.0391332	+	0.856265i
$727$	13.9782	−	8.07030i	0.518422	−	0.299311i	−0.217867	−	0.975978i	$-0.569910\pi$
$727$	13.9782	−	8.07030i	0.518422	−	0.299311i	0.736289	+	0.676668i	$0.236577\pi$
$728$	32.3899	+	11.9342i	1.20045	+	0.442309i
$729$	18.9512	+	19.2315i	0.701897	+	0.712279i
$730$	4.33268	−	12.0258i	0.160360	−	0.445095i
$731$	−5.99638			−0.221784
$732$	11.5552	−	37.3370i	0.427092	−	1.38001i
$733$	17.3476			0.640749			0.320374	−	0.947291i	$-0.396191\pi$
$733$	17.3476			0.640749			0.320374	+	0.947291i	$0.396191\pi$
$734$	−24.2292	+	4.35377i	−0.894315	+	0.160700i
$735$	−9.89376	+	8.55693i	−0.364937	+	0.315627i
$736$	35.8056	+	29.0630i	1.31981	+	1.07128i
$737$	5.83220	−	3.36722i	0.214832	−	0.124033i
$738$	−21.2761	+	30.4381i	−0.783185	+	1.12044i
$739$	−4.79562	−	2.76875i	−0.176410	−	0.101850i	0.409195	−	0.912447i	$-0.365810\pi$
$739$	−4.79562	−	2.76875i	−0.176410	−	0.101850i	−0.585605	+	0.810597i	$0.699143\pi$
$740$	−2.50546	+	3.02575i	−0.0921027	+	0.111229i
$741$	−2.00554	+	15.0909i	−0.0736754	+	0.554378i
$742$	−14.2242	+	16.5955i	−0.522186	+	0.609241i
$743$	−11.8746	+	20.5674i	−0.435637	+	0.754545i	−0.997347	−	0.0727889i	$-0.976810\pi$
$743$	−11.8746	+	20.5674i	−0.435637	+	0.754545i	0.561711	+	0.827334i	$0.310143\pi$
$744$	−36.8298	−	27.7630i	−1.35025	−	1.01784i
$745$	20.7494			0.760201
$746$	6.21575	+	34.5913i	0.227575	+	1.26648i
$747$	2.61547	+	9.85751i	0.0956952	+	0.360667i
$748$	−1.90293	−	0.322756i	−0.0695780	−	0.0118011i
$749$	−0.603089	−	3.71823i	−0.0220364	−	0.135861i
$750$	23.3268	−	1.06608i	0.851772	−	0.0389279i
$751$			2.31025i			0.0843021i	0.999111	+	0.0421510i	$0.0134211\pi$
$751$			2.31025i			0.0843021i	−0.999111	+	0.0421510i	$0.986579\pi$
$752$	−1.44646	−	7.62065i	−0.0527468	−	0.277897i
$753$	36.7278	+	4.88103i	1.33844	+	0.177875i
$754$	−20.2232	+	3.63393i	−0.736486	+	0.132340i
$755$	5.92308			0.215563
$756$	−25.2865	−	10.7979i	−0.919660	−	0.392717i
$757$	38.3537			1.39399			0.696995	−	0.717076i	$-0.254520\pi$
$757$	38.3537			1.39399			0.696995	+	0.717076i	$0.254520\pi$
$758$	−17.9951	+	3.23355i	−0.653610	+	0.117448i
$759$	17.5453	+	2.33172i	0.636853	+	0.0846361i
$760$	2.85790	−	5.06378i	0.103667	−	0.183683i
$761$		−	43.3095i		−	1.56997i	−0.619516	−	0.784984i	$-0.712671\pi$
$761$		−	43.3095i		−	1.56997i	0.619516	−	0.784984i	$-0.287329\pi$
$762$	−6.43378	+	0.294038i	−0.233071	+	0.0106519i
$763$	23.6951	−	19.3342i	0.857820	−	0.699946i
$764$	0.122951	−	0.724902i	0.00444821	−	0.0262260i
$765$	1.76632	−	1.75770i	0.0638615	−	0.0635497i
$766$	1.18471	+	6.59302i	0.0428052	+	0.238216i
$767$	37.0137			1.33649
$768$	7.67377	−	26.6292i	0.276903	−	0.960898i
$769$	−8.68051	+	15.0351i	−0.313027	+	0.542179i	−0.979016	−	0.203783i	$-0.934676\pi$
$769$	−8.68051	+	15.0351i	−0.313027	+	0.542179i	0.665989	+	0.745961i	$0.268010\pi$
$770$	−4.97380	−	0.930835i	−0.179243	−	0.0335450i
$771$	−3.67509	+	27.6535i	−0.132355	+	0.995918i
$772$	−42.5207	−	35.2092i	−1.53036	−	1.26721i
$773$	−3.74807	−	2.16395i	−0.134809	−	0.0778319i	0.431079	−	0.902314i	$-0.358133\pi$
$773$	−3.74807	−	2.16395i	−0.134809	−	0.0778319i	−0.565888	+	0.824482i	$0.691466\pi$
$774$	−13.9895	−	29.9370i	−0.502843	−	1.07606i
$775$	−31.2759	+	18.0572i	−1.12346	+	0.648632i
$776$	−0.644098	+	1.14125i	−0.0231218	+	0.0409684i
$777$	−0.239196	−	8.33957i	−0.00858112	−	0.299181i
$778$	−44.3466	+	7.96870i	−1.58990	+	0.285692i
$779$	16.6789			0.597585
$780$	−16.4688	−	5.09683i	−0.589678	−	0.182496i
$781$	7.58526			0.271422
$782$	3.00858	−	8.35063i	0.107587	−	0.298618i
$783$	16.2344	−	2.07670i	0.580169	−	0.0742152i
$784$	27.9971	+	0.403966i	0.999896	+	0.0144273i
$785$	4.75204	−	2.74359i	0.169608	−	0.0979230i
$786$	−1.78850	−	39.1338i	−0.0637938	−	1.39586i
$787$	9.47154	−	5.46839i	0.337624	−	0.194927i	−0.321597	−	0.946877i	$-0.604220\pi$
$787$	9.47154	−	5.46839i	0.337624	−	0.194927i	0.659221	+	0.751949i	$0.270886\pi$
$788$	−17.5684	−	47.3065i	−0.625848	−	1.68523i
$789$	50.4800	+	6.70867i	1.79714	+	0.238835i
$790$	−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
$794$	1.31591	−	1.11151i	0.0467000	−	0.0394461i
$795$	6.65589	−	8.65219i	0.236060	−	0.306862i
$796$	−17.2442	−	2.92479i	−0.611203	−	0.103666i
$797$	−10.5323	−	6.08081i	−0.373072	−	0.215393i	0.301728	−	0.953394i	$-0.402437\pi$
$797$	−10.5323	−	6.08081i	−0.373072	−	0.215393i	−0.674800	+	0.738001i	$0.735770\pi$
$798$	2.53154	+	12.0865i	0.0896157	+	0.427857i
$799$	−1.29293	+	0.746475i	−0.0457407	+	0.0264084i
$800$	−16.8481	−	13.6754i	−0.595672	−	0.483500i
$801$	4.80034	−	1.27366i	0.169612	−	0.0450027i
$802$	17.4020	−	3.12699i	0.614487	−	0.110418i
$803$	−5.25072	+	9.09451i	−0.185294	+	0.320938i
$804$	13.6546	−	12.6459i	0.481562	−	0.445987i
$805$	8.25851	−	21.7556i	0.291074	−	0.766783i
$806$	60.4467	−	10.8617i	2.12915	−	0.382588i
$807$	26.2011	+	20.1558i	0.922321	+	0.709517i
$808$	−23.6191	+	13.9463i	−0.830918	+	0.490631i
$809$	−25.1053	−	14.4946i	−0.882656	−	0.509602i	−0.0111231	−	0.999938i	$-0.503541\pi$
$809$	−25.1053	−	14.4946i	−0.882656	−	0.509602i	−0.871533	+	0.490336i	$0.836874\pi$
$810$	12.8962	+	4.71769i	0.453125	+	0.165763i
$811$		−	18.8050i		−	0.660334i	−0.943923	−	0.330167i	$-0.892895\pi$
$811$		−	18.8050i		−	0.660334i	0.943923	−	0.330167i	$-0.107105\pi$
$812$	−14.4938	+	8.22915i	−0.508632	+	0.288787i
$813$	−3.41170	+	1.40829i	−0.119654	+	0.0493907i
$814$	2.46555	−	2.08258i	0.0864173	−	0.0729942i
$815$	1.14012	+	1.97475i	0.0399367	+	0.0691724i
$816$	−5.32574	+	0.295630i	−0.186438	+	0.0103491i
$817$	−7.42044	+	12.8526i	−0.259608	+	0.449655i
$818$	30.2958	−	25.5900i	1.05927	−	0.894732i
$819$	33.4281	−	14.9341i	1.16807	−	0.521839i
$820$	−3.15842	+	18.6216i	−0.110297	+	0.650295i
$821$	1.37283	+	0.792606i	0.0479122	+	0.0276621i	0.523765	−	0.851863i	$-0.324527\pi$
$821$	1.37283	+	0.792606i	0.0479122	+	0.0276621i	−0.475853	+	0.879525i	$0.657860\pi$
$822$	−43.2366	+	1.97601i	−1.50805	+	0.0689213i
$823$	−1.87192	+	1.08076i	−0.0652512	+	0.0376728i	−0.532271	−	0.846574i	$-0.678661\pi$
$823$	−1.87192	+	1.08076i	−0.0652512	+	0.0376728i	0.467019	+	0.884247i	$0.345328\pi$
$824$	15.6084	−	9.21628i	0.543746	−	0.321064i
$825$	−8.25584	−	1.09718i	−0.287432	−	0.0381989i
$826$	28.3193	−	9.97272i	0.985355	−	0.346995i
$827$	−28.7742			−1.00058			−0.500289	−	0.865859i	$-0.666773\pi$
$827$	−28.7742			−1.00058			−0.500289	+	0.865859i	$0.666773\pi$
$828$	48.7096	−	4.46159i	1.69278	−	0.155051i
$829$	−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	$0.218974\pi$
$830$	3.34703	+	3.96252i	0.116177	+	0.137541i
$831$	−1.17172	−	0.155718i	−0.0406464	−	0.00540180i
$832$	19.0726	+	31.5908i	0.661223	+	1.09522i
$833$	−1.70342	−	5.11293i	−0.0590202	−	0.177152i
$834$	−5.46313	+	10.5470i	−0.189173	+	0.365212i
$835$	−19.8991	−	11.4888i	−0.688637	−	0.397585i
$836$	−3.04664	+	3.67931i	−0.105370	+	0.127252i
$837$	−48.5241	+	6.20721i	−1.67724	+	0.214552i
$838$	2.00706	+	0.723108i	0.0693328	+	0.0249793i
$839$	−5.51927	−	9.55966i	−0.190546	−	0.330036i	0.754885	−	0.655857i	$-0.227693\pi$
$839$	−5.51927	−	9.55966i	−0.190546	−	0.330036i	−0.945431	+	0.325821i	$0.894359\pi$
$840$	−13.9736	+	0.537642i	−0.482136	+	0.0185504i
$841$	−9.53949	+	16.5229i	−0.328948	+	0.569755i
$842$	−38.5020	+	32.5216i	−1.32687	+	1.12077i
$843$	−14.5327	+	5.99883i	−0.500534	+	0.206611i
$844$	−35.4529	−	6.01317i	−1.22034	−	0.206982i
$845$	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
$849$	−6.03063	+	2.48933i	−0.206971	+	0.0854335i
$850$	−1.41567	+	3.92935i	−0.0485572	+	0.134775i
$851$	7.42096	+	12.8535i	0.254387	+	0.440612i
$852$	20.4410	−	4.64542i	0.700298	−	0.159150i
$853$	18.3096	+	31.7132i	0.626909	+	1.08584i	0.988168	+	0.153373i	$0.0490136\pi$
$853$	18.3096	+	31.7132i	0.626909	+	1.08584i	−0.361259	+	0.932465i	$0.617653\pi$
$854$	32.0531	+	27.4730i	1.09683	+	0.940106i
$855$	−1.58163	−	5.96105i	−0.0540907	−	0.203864i
$856$	1.97924	−	3.50693i	0.0676491	−	0.119864i
$857$		−	2.90980i		−	0.0993967i	−0.998764	−	0.0496984i	$-0.984174\pi$
$857$		−	2.90980i		−	0.0993967i	0.998764	−	0.0496984i	$-0.0158260\pi$
$858$	12.5761	+	6.51416i	0.429340	+	0.222390i
$859$		−	47.8708i		−	1.63333i	−0.577113	−	0.816665i	$-0.695821\pi$
$859$		−	47.8708i		−	1.63333i	0.577113	−	0.816665i	$-0.304179\pi$
$860$	−12.9444	−	10.7186i	−0.441400	−	0.365500i
$861$	−21.0440	−	34.1491i	−0.717176	−	1.16380i
$862$	−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	$0.763446\pi$
$864$	−13.9009	−	25.8991i	−0.472917	−	0.881107i
$865$	−4.52102	+	7.83064i	−0.153719	+	0.266250i
$866$	0.201769	+	1.12287i	0.00685641	+	0.0381566i
$867$	−10.8431	−	26.2683i	−0.368249	−	0.892118i
$868$	43.3215	−	24.5967i	1.47043	−	0.834868i
$869$	14.3922	+	8.30932i	0.488221	+	0.281874i
$870$	7.01122	−	4.48675i	0.237703	−	0.152115i
$871$			24.7820i			0.839705i
$872$	32.6922	−	0.319815i	1.10710	−	0.0108303i
$873$	0.356460	+	1.34347i	0.0120644	+	0.0454696i
$874$	−14.1756	−	16.7824i	−0.479496	−	0.567671i
$875$	−8.95118	+	23.5803i	−0.302605	+	0.797159i
$876$	−8.58009	+	27.7239i	−0.289894	+	0.936703i
$877$	2.41416			0.0815203			0.0407602	−	0.999169i	$-0.487022\pi$
$877$	2.41416			0.0815203			0.0407602	+	0.999169i	$0.487022\pi$
$878$	−1.45583	+	4.04080i	−0.0491317	+	0.136370i
$879$	28.5587	+	21.9695i	0.963262	+	0.741012i
$880$	−3.53093	−	4.09823i	−0.119028	−	0.138151i
$881$		−	43.3258i		−	1.45968i	−0.683616	−	0.729842i	$-0.739594\pi$
$881$		−	43.3258i		−	1.45968i	0.683616	−	0.729842i	$-0.260406\pi$
$882$	21.5523	−	20.4328i	0.725703	−	0.688008i
$883$		−	20.5807i		−	0.692597i	−0.938124	−	0.346298i	$-0.887439\pi$
$883$		−	20.5807i		−	0.692597i	0.938124	−	0.346298i	$-0.112561\pi$
$884$	4.52987	−	5.47054i	0.152356	−	0.183994i
$885$	−13.8604	+	5.72130i	−0.465912	+	0.192320i
$886$	−20.1505	−	7.25987i	−0.676970	−	0.243900i
$887$	−6.40252			−0.214976			−0.107488	−	0.994206i	$-0.534281\pi$
$887$	−6.40252			−0.214976			−0.107488	+	0.994206i	$0.534281\pi$
$888$	5.36881	−	7.12216i	0.180166	−	0.239004i
$889$	2.46884	−	6.50371i	0.0828021	−	0.218127i
$890$	1.92964	−	1.62991i	0.0646816	−	0.0546347i
$891$	−9.74232	−	5.68849i	−0.326380	−	0.190572i
$892$	24.8898	−	30.0585i	0.833373	−	1.00643i
$893$			3.69501i			0.123649i
$894$	−47.0601	+	2.15075i	−1.57393	+	0.0719319i
$895$	4.69682	+	2.71171i	0.156997	+	0.0906425i
$896$	23.1042	+	19.0315i	0.771856	+	0.635798i
$897$	−39.7132	+	51.6243i	−1.32599	+	1.72369i
$898$	−20.9182	+	3.75881i	−0.698049	+	0.125433i
$899$	−14.8268	+	25.6808i	−0.494503	+	0.856504i
$900$	−22.9201	+	2.09938i	−0.764003	+	0.0699794i
$901$	2.24869	+	3.89484i	0.0749146	+	0.129756i
$902$	5.25956	−	14.5985i	0.175124	−	0.486076i
$903$	35.6773	−	1.02330i	1.18727	−	0.0340533i
$904$	0.0268735	+	2.74706i	0.000893798	+	0.0913659i
$905$			5.40973i			0.179825i
$906$	−13.4337	+	0.613948i	−0.446303	+	0.0203971i
$907$			31.5918i			1.04899i	0.851414	+	0.524494i	$0.175746\pi$
$907$			31.5918i			1.04899i	−0.851414	+	0.524494i	$0.824254\pi$
$908$	−4.21139	+	1.56400i	−0.139760	+	0.0519032i
$909$	−7.59860	+	28.0833i	−0.252030	+	0.931464i
$910$	12.1180	−	14.1382i	0.401706	−	0.468676i
$911$	−10.9840	−	19.0249i	−0.363917	−	0.630323i	0.624685	−	0.780877i	$-0.285228\pi$
$911$	−10.9840	−	19.0249i	−0.363917	−	0.630323i	−0.988602	+	0.150554i	$0.951894\pi$
$912$	−5.95689	+	11.7810i	−0.197252	+	0.390107i
$913$	−2.13065	−	3.69040i	−0.0705143	−	0.122134i
$914$	5.50069	+	1.98180i	0.181947	+	0.0655520i
$915$	−16.7111	−	12.8554i	−0.552452	−	0.424986i
$916$	−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	−0.0433914	−	0.999058i	$-0.513816\pi$
$919$	24.2557	−	14.0041i	0.800123	−	0.461951i	0.843514	+	0.537107i	$0.180483\pi$
$920$	21.4214	−	12.6487i	0.706244	−	0.417014i
$921$	−4.89115	+	36.8039i	−0.161169	+	1.21273i
$922$	29.2194	+	34.5926i	0.962288	+	1.13925i
$923$	−13.9565	+	24.1733i	−0.459382	+	0.795674i
$924$	11.3772	+	1.59560i	0.374281	+	0.0524914i
$925$	−3.49190	−	6.04815i	−0.114813	−	0.198862i
$926$	−3.23786	+	8.98702i	−0.106403	+	0.295332i
$927$	5.02145	−	18.5585i	0.164926	−	0.609542i
$928$	−17.5952	−	2.80754i	−0.577590	−	0.0921620i
$929$	11.8753	+	6.85620i	0.389616	+	0.224945i	0.681994	−	0.731358i	$-0.261113\pi$
$929$	11.8753	+	6.85620i	0.389616	+	0.224945i	−0.292378	+	0.956303i	$0.594447\pi$
$930$	−20.9564	+	13.4108i	−0.687187	+	0.439757i
$931$	−13.0670	−	2.67608i	−0.428252	−	0.0877049i
$932$	−29.0440	+	35.0754i	−0.951369	+	1.14893i
$933$	−20.0322	−	48.5299i	−0.655825	−	1.58880i
$934$	−24.6290	+	20.8034i	−0.805886	+	0.680709i
$935$	−0.520591	+	0.901691i	−0.0170252	+	0.0294884i
$936$	37.8799	+	9.85267i	1.23814	+	0.322044i
$937$	5.33478			0.174280			0.0871399	−	0.996196i	$-0.472227\pi$
$937$	5.33478			0.174280			0.0871399	+	0.996196i	$0.472227\pi$
$938$	6.67710	+	18.9608i	0.218015	+	0.619092i
$939$	−25.8388	+	33.5886i	−0.843216	+	1.09612i
$940$	−4.12539	−	0.699708i	−0.134555	−	0.0228220i
$941$	−36.5028	+	21.0749i	−1.18996	+	0.687023i	−0.958297	−	0.285773i	$-0.907750\pi$
$941$	−36.5028	+	21.0749i	−1.18996	+	0.687023i	−0.231662	+	0.972796i	$0.574416\pi$
$942$	−10.4933	+	6.71509i	−0.341891	+	0.218789i
$943$	61.7985	+	35.6794i	2.01244	+	1.16188i
$944$	30.3019	+	10.5835i	0.986243	+	0.344463i
$945$	−10.2093	+	10.7594i	−0.332110	+	0.350004i
$946$	8.90942	+	10.5478i	0.289670	+	0.342938i
$947$	2.57580	−	4.46141i	0.0837022	−	0.144976i	−0.821135	−	0.570734i	$-0.806659\pi$
$947$	2.57580	−	4.46141i	0.0837022	−	0.144976i	0.904837	+	0.425757i	$0.139992\pi$
$948$	43.8734	+	13.5781i	1.42494	+	0.440996i
$949$	−19.3220	−	33.4668i	−0.627220	−	1.08638i
$950$	6.67025	+	7.89686i	0.216411	+	0.256208i
$951$	19.9588	+	15.3538i	0.647209	+	0.497880i
$952$	1.99187	−	5.40603i	0.0645570	−	0.175211i
$953$			40.5840i			1.31464i	0.753610	+	0.657322i	$0.228311\pi$
$953$			40.5840i			1.31464i	−0.753610	+	0.657322i	$0.771689\pi$
$954$	−14.1989	+	20.3132i	−0.459705	+	0.657665i
$955$	−0.343490	−	0.198314i	−0.0111151	−	0.00641730i
$956$	−5.88714	+	34.7098i	−0.190404	+	1.12260i
$957$	−6.32117	+	2.60926i	−0.204334	+	0.0843453i
$958$	4.78008	+	26.6017i	0.154437	+	0.859461i
$959$	16.5912	−	43.7065i	0.535758	−	1.41136i
$960$	−12.0251	−	8.88163i	−0.388110	−	0.286653i
$961$	28.8171	−	49.9126i	0.929583	−	1.61008i
$962$	2.10045	+	11.6892i	0.0677211	+	0.376875i
$963$	−1.09536	−	4.12833i	−0.0352976	−	0.133034i
$964$	44.6503	−	16.5819i	1.43809	−	0.534068i
$965$	−25.7907	+	14.8902i	−0.830231	+	0.479334i
$966$	−16.4754	+	50.1981i	−0.530088	+	1.61510i
$967$	19.3160	+	11.1521i	0.621159	+	0.358626i	0.777320	−	0.629105i	$-0.216579\pi$
$967$	19.3160	+	11.1521i	0.621159	+	0.358626i	−0.156161	+	0.987732i	$0.549912\pi$
$968$	−13.5595	−	22.9641i	−0.435820	−	0.738093i
$969$	2.51875	+	0.334735i	0.0809139	+	0.0107533i
$970$	0.456163	+	0.540048i	0.0146465	+	0.0173399i
$971$	−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
$975$	18.6869	−	24.2916i	0.598458	−	0.777953i
$976$	8.41584	+	44.3389i	0.269385	+	1.41925i
$977$	−1.23379	+	0.712332i	−0.0394726	+	0.0227895i	−0.519606	−	0.854406i	$-0.673921\pi$
$977$	−1.23379	+	0.712332i	−0.0394726	+	0.0227895i	0.480134	+	0.877195i	$0.340588\pi$
$978$	−2.79051	−	4.36059i	−0.0892306	−	0.139436i
$979$	−1.79712	+	1.03757i	−0.0574362	+	0.0331608i
$980$	5.46220	−	14.0822i	0.174484	−	0.449839i
$981$	24.5802	−	24.4602i	0.784786	−	0.780955i
$982$	−1.18897	−	0.428366i	−0.0379417	−	0.0136697i
$983$	36.6451			1.16880			0.584399	−	0.811466i	$-0.301330\pi$
$983$	36.6451			1.16880			0.584399	+	0.811466i	$0.301330\pi$
$984$	5.23315	−	42.5615i	0.166827	−	1.35681i
$985$	−27.2221			−0.867370
$986$	0.606522	+	3.37536i	0.0193156	+	0.107493i
$987$	7.56532	−	4.66203i	0.240807	−	0.148394i
$988$	−6.11986	−	16.4790i	−0.194699	−	0.524267i
$989$	−54.9882	+	31.7475i	−1.74852	+	1.00951i
$990$	−5.71624	−	0.495420i	−0.181674	−	0.0157455i
$991$	−31.5197	−	18.1979i	−1.00126	−	0.578075i	−0.0926357	−	0.995700i	$-0.529529\pi$
$991$	−31.5197	−	18.1979i	−1.00126	−	0.578075i	−0.908619	+	0.417625i	$0.862863\pi$
$992$	52.5916	+	8.39166i	1.66978	+	0.266436i
$993$	20.3813	+	15.6788i	0.646782	+	0.497552i
$994$	−4.16505	+	22.2554i	−0.132107	+	0.705899i
$995$	−4.71755	+	8.17104i	−0.149556	+	0.259039i
$996$	−8.00185	−	8.64014i	−0.253548	−	0.273773i
$997$	11.1462			0.353003			0.176501	−	0.984300i	$-0.443522\pi$
$997$	11.1462			0.353003			0.176501	+	0.984300i	$0.443522\pi$
$998$	−17.7544	+	3.19030i	−0.562005	+	0.100987i
$999$	−1.20035	−	9.38361i	−0.0379774	−	0.296884i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.o.a.95.20	yes	88
3.2	odd	2		756.2.o.a.179.25		88
4.3	odd	2	inner	252.2.o.a.95.5	✓	88
7.2	even	3		252.2.bb.a.23.10	yes	88
9.2	odd	6		252.2.bb.a.11.35	yes	88
9.7	even	3		756.2.bb.a.683.10		88
12.11	even	2		756.2.o.a.179.40		88
21.2	odd	6		756.2.bb.a.611.35		88
28.23	odd	6		252.2.bb.a.23.35	yes	88
36.7	odd	6		756.2.bb.a.683.35		88
36.11	even	6		252.2.bb.a.11.10	yes	88
63.2	odd	6	inner	252.2.o.a.191.5	yes	88
63.16	even	3		756.2.o.a.359.40		88
84.23	even	6		756.2.bb.a.611.10		88
252.79	odd	6		756.2.o.a.359.25		88
252.191	even	6	inner	252.2.o.a.191.20	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.o.a.95.5	✓	88	4.3	odd	2	inner
252.2.o.a.95.20	yes	88	1.1	even	1	trivial
252.2.o.a.191.5	yes	88	63.2	odd	6	inner
252.2.o.a.191.20	yes	88	252.191	even	6	inner
252.2.bb.a.11.10	yes	88	36.11	even	6
252.2.bb.a.11.35	yes	88	9.2	odd	6
252.2.bb.a.23.10	yes	88	7.2	even	3
252.2.bb.a.23.35	yes	88	28.23	odd	6
756.2.o.a.179.25		88	3.2	odd	2
756.2.o.a.179.40		88	12.11	even	2
756.2.o.a.359.25		88	252.79	odd	6
756.2.o.a.359.40		88	63.16	even	3
756.2.bb.a.611.10		88	84.23	even	6
756.2.bb.a.611.35		88	21.2	odd	6
756.2.bb.a.683.10		88	9.7	even	3
756.2.bb.a.683.35		88	36.7	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:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.o (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.250116 - 1.39192i) q^{2} +(1.71695 + 0.228179i) q^{3} +(-1.87488 + 0.696282i) q^{4} +1.07889i q^{5} +(-0.111830 - 2.44694i) q^{6} +(2.47353 + 0.938963i) q^{7} +(1.43811 + 2.43554i) q^{8} +(2.89587 + 0.783546i) q^{9} +O(q^{10})\)	\(q+(-0.250116 - 1.39192i) q^{2} +(1.71695 + 0.228179i) q^{3} +(-1.87488 + 0.696282i) q^{4} +1.07889i q^{5} +(-0.111830 - 2.44694i) q^{6} +(2.47353 + 0.938963i) q^{7} +(1.43811 + 2.43554i) q^{8} +(2.89587 + 0.783546i) q^{9} +(1.50172 - 0.269846i) q^{10} -1.25350 q^{11} +(-3.37797 + 0.767676i) q^{12} +(2.30636 - 3.99474i) q^{13} +(0.688293 - 3.67781i) q^{14} +(-0.246179 + 1.85240i) q^{15} +(3.03038 - 2.61090i) q^{16} +(-0.666743 - 0.384944i) q^{17} +(0.366331 - 4.22680i) q^{18} +(-1.65017 + 0.952727i) q^{19} +(-0.751209 - 2.02279i) q^{20} +(4.03269 + 2.17656i) q^{21} +(0.313519 + 1.74477i) q^{22} -8.15225 q^{23} +(1.91343 + 4.50986i) q^{24} +3.83600 q^{25} +(-6.13722 - 2.21113i) q^{26} +(4.79329 + 2.00609i) q^{27} +(-5.29136 - 0.0381722i) q^{28} +(2.72778 - 1.57488i) q^{29} +(2.63997 - 0.120652i) q^{30} +(-8.15326 + 4.70729i) q^{31} +(-4.39211 - 3.56502i) q^{32} +(-2.15220 - 0.286022i) 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} +(1.73885 + 2.05862i) q^{38} +(4.87144 - 6.33252i) q^{39} +(-2.62767 + 1.55155i) q^{40} +(-7.58055 - 4.37663i) q^{41} +(2.02097 - 6.15757i) q^{42} +(6.74516 - 3.89432i) q^{43} +(2.35016 - 0.872788i) q^{44} +(-0.845357 + 3.12431i) q^{45} +(2.03901 + 11.3473i) q^{46} +(0.969589 - 1.67938i) q^{47} +(5.79878 - 3.79132i) q^{48} +(5.23670 + 4.64510i) q^{49} +(-0.959445 - 5.33941i) q^{50} +(-1.05693 - 0.813068i) q^{51} +(-1.54270 + 9.09556i) q^{52} +(-5.05897 - 2.92080i) q^{53} +(1.59344 - 7.17363i) q^{54} -1.35238i q^{55} +(1.27032 + 7.37471i) q^{56} +(-3.05066 + 1.25925i) q^{57} +(-2.87437 - 3.40294i) q^{58} +(4.01212 + 6.94920i) q^{59} +(-0.828235 - 3.64445i) q^{60} +(-5.64131 + 9.77104i) q^{61} +(8.59142 + 10.1713i) q^{62} +(6.42730 + 4.65724i) q^{63} +(-3.86370 + 7.00513i) q^{64} +(4.30987 + 2.48831i) q^{65} +(0.140179 + 3.06723i) q^{66} +(-4.65274 + 2.68626i) q^{67} +(1.51810 + 0.257485i) q^{68} +(-13.9971 - 1.86017i) q^{69} +(3.96794 + 0.742590i) q^{70} -6.05128 q^{71} +(2.25621 + 8.17982i) q^{72} +(4.18885 - 7.25531i) q^{73} +(-1.96693 + 1.66141i) q^{74} +(6.58625 + 0.875295i) q^{75} +(2.43051 - 2.93524i) q^{76} +(-3.10056 - 1.17699i) q^{77} +(-10.0328 - 5.19679i) q^{78} +(-11.4816 - 6.62891i) q^{79} +(2.81686 + 3.26944i) q^{80} +(7.77211 + 4.53809i) q^{81} +(-4.19591 + 11.6462i) q^{82} +(1.69976 + 2.94408i) q^{83} +(-9.07633 - 1.27292i) q^{84} +(0.415311 - 0.719340i) q^{85} +(-7.10765 - 8.41469i) q^{86} +(5.04282 - 2.08158i) q^{87} +(-1.80266 - 3.05294i) 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} +(-15.0729 + 6.22180i) q^{93} +(-2.58007 - 0.929552i) q^{94} +(-1.02788 - 1.78035i) q^{95} +(-6.72759 - 7.12317i) q^{96} +(0.231659 + 0.401245i) q^{97} +(5.15584 - 8.45088i) q^{98} +(-3.62996 - 0.982173i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9}+O(q^{10}) \) 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9	\( 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 3 q^{12} - 4 q^{13} - 3 q^{14} + q^{16} + 5 q^{18} - 6 q^{20} - 6 q^{22} - 14 q^{24} - 60 q^{25} - 6 q^{26} - 24 q^{29} + 22 q^{30} + 27 q^{32} - 26 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} + 8 q^{40} - 12 q^{41} - 13 q^{42} - 57 q^{44} + 42 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} + 14 q^{52} - 22 q^{54} - 66 q^{56} - 28 q^{57} - 10 q^{58} + 32 q^{60} + 2 q^{61} - 8 q^{64} + 18 q^{65} - 93 q^{66} - 6 q^{69} + 30 q^{70} + 53 q^{72} - 4 q^{73} - 6 q^{76} - 30 q^{77} + 55 q^{78} + 87 q^{80} + 26 q^{81} - 4 q^{82} - 7 q^{84} - 14 q^{85} - 18 q^{88} + 60 q^{89} + 41 q^{90} + 24 q^{92} - 30 q^{93} + 9 q^{94} - 20 q^{96} - 4 q^{97} - 57 q^{98}+O(q^{100}) \) 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 3 * q^12 - 4 * q^13 - 3 * q^14 + q^16 + 5 * q^18 - 6 * q^20 - 6 * q^22 - 14 * q^24 - 60 * q^25 - 6 * q^26 - 24 * q^29 + 22 * q^30 + 27 * q^32 - 26 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 + 8 * q^40 - 12 * q^41 - 13 * q^42 - 57 * q^44 + 42 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 + 14 * q^52 - 22 * q^54 - 66 * q^56 - 28 * q^57 - 10 * q^58 + 32 * q^60 + 2 * q^61 - 8 * q^64 + 18 * q^65 - 93 * q^66 - 6 * q^69 + 30 * q^70 + 53 * q^72 - 4 * q^73 - 6 * q^76 - 30 * q^77 + 55 * q^78 + 87 * q^80 + 26 * q^81 - 4 * q^82 - 7 * q^84 - 14 * q^85 - 18 * q^88 + 60 * q^89 + 41 * q^90 + 24 * q^92 - 30 * q^93 + 9 * q^94 - 20 * q^96 - 4 * q^97 - 57 * q^98

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