LMFDB - Embedded newform 252.2.o.a.95.5

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			95.5
Character	$\chi$	$=$	252.95
Dual form			252.2.o.a.191.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.33050 + 0.479354i) q^{2} +(-1.71695 - 0.228179i) q^{3} +(1.54044 - 1.27556i) q^{4} +1.07889i q^{5} +(2.39378 - 0.519437i) q^{6} +(-2.47353 - 0.938963i) q^{7} +(-1.43811 + 2.43554i) q^{8} +(2.89587 + 0.783546i) q^{9} +O(q^{10})$	\(q+(-1.33050 + 0.479354i) q^{2} +(-1.71695 - 0.228179i) q^{3} +(1.54044 - 1.27556i) q^{4} +1.07889i q^{5} +(2.39378 - 0.519437i) q^{6} +(-2.47353 - 0.938963i) q^{7} +(-1.43811 + 2.43554i) q^{8} +(2.89587 + 0.783546i) q^{9} +(-0.517168 - 1.43545i) q^{10} +1.25350 q^{11} +(-2.93592 + 1.83858i) q^{12} +(2.30636 - 3.99474i) q^{13} +(3.74112 + 0.0635910i) q^{14} +(0.246179 - 1.85240i) q^{15} +(0.745912 - 3.92984i) q^{16} +(-0.666743 - 0.384944i) q^{17} +(-4.22854 + 0.345640i) q^{18} +(1.65017 - 0.952727i) q^{19} +(1.37618 + 1.66196i) q^{20} +(4.03269 + 2.17656i) q^{21} +(-1.66777 + 0.600869i) q^{22} +8.15225 q^{23} +(3.02490 - 3.85356i) q^{24} +3.83600 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} +(0.560414 + 2.58262i) q^{30} +(8.15326 - 4.70729i) q^{31} +(0.891349 + 5.58619i) q^{32} +(-2.15220 - 0.286022i) q^{33} +(1.07162 + 0.192561i) q^{34} +(1.01303 - 2.66866i) q^{35} +(5.46037 - 2.48684i) 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} +(-6.40882 - 0.962827i) q^{42} +(-6.74516 + 3.89432i) q^{43} +(1.93094 - 1.59891i) q^{44} +(-0.845357 + 3.12431i) q^{45} +(-10.8465 + 3.90781i) q^{46} +(-0.969589 + 1.67938i) q^{47} +(-2.17740 + 6.57715i) q^{48} +(5.23670 + 4.64510i) q^{49} +(-5.10379 + 1.83880i) q^{50} +(1.05693 + 0.813068i) q^{51} +(-1.54270 - 9.09556i) q^{52} +(-5.05897 - 2.92080i) q^{53} +(7.33908 + 0.371415i) q^{54} +1.35238i q^{55} +(5.84408 - 4.67405i) q^{56} +(-3.05066 + 1.25925i) q^{57} +(-2.87437 + 3.40294i) q^{58} +(-4.01212 - 6.94920i) q^{59} +(-1.98362 - 3.16753i) 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} +(3.00060 - 0.651113i) q^{66} +(4.65274 - 2.68626i) q^{67} +(-1.51810 + 0.257485i) q^{68} +(-13.9971 - 1.86017i) q^{69} +(-0.0686075 + 4.03624i) q^{70} +6.05128 q^{71} +(-6.07293 + 5.92618i) q^{72} +(4.18885 - 7.25531i) q^{73} +(1.96693 + 1.66141i) q^{74} +(-6.58625 - 0.875295i) q^{75} +(1.32673 - 3.57251i) q^{76} +(-3.10056 - 1.17699i) q^{77} +(3.44591 - 10.7605i) q^{78} +(11.4816 + 6.62891i) q^{79} +(4.23985 + 0.804754i) q^{80} +(7.77211 + 4.53809i) q^{81} +(12.1838 + 2.18933i) q^{82} +(-1.69976 - 2.94408i) q^{83} +(8.98844 - 1.79105i) 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} +(-0.372907 - 4.56211i) q^{90} +(-9.45577 + 7.71552i) q^{91} +(12.5581 - 10.3987i) q^{92} +(-15.0729 + 6.22180i) q^{93} +(0.485019 - 2.69918i) q^{94} +(1.02788 + 1.78035i) q^{95} +(-0.255755 - 9.79462i) 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 - 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 $

$2$	−1.33050	+	0.479354i	−0.940803	+	0.338954i
$2$	−1.33050	+	0.479354i	−0.940803	+	0.338954i
$3$	−1.71695	−	0.228179i	−0.991284	−	0.131739i
$3$	−1.71695	−	0.228179i	−0.991284	−	0.131739i
$4$	1.54044	−	1.27556i	0.770220	−	0.637778i
$5$			1.07889i			0.482493i	0.970464	+	0.241246i	$0.0775562\pi$
$5$			1.07889i			0.482493i	−0.970464	+	0.241246i	$0.922444\pi$
$6$	2.39378	−	0.519437i	0.977257	−	0.212059i
$7$	−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
$10$	−0.517168	−	1.43545i	−0.163543	−	0.453931i
$11$	1.25350			0.377944			0.188972	−	0.981983i	$-0.439485\pi$
$11$	1.25350			0.377944			0.188972	+	0.981983i	$0.439485\pi$
$12$	−2.93592	+	1.83858i	−0.847528	+	0.530751i
$13$	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	$-0.0542625\pi$
$14$	3.74112	+	0.0635910i	0.999856	+	0.0169954i
$15$	0.246179	−	1.85240i	0.0635632	−	0.478288i
$16$	0.745912	−	3.92984i	0.186478	−	0.982459i
$17$	−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	$0.696428\pi$
$18$	−4.22854	+	0.345640i	−0.996676	+	0.0814682i
$19$	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	$0.263194\pi$
$20$	1.37618	+	1.66196i	0.307723	+	0.371626i
$21$	4.03269	+	2.17656i	0.880005	+	0.474965i
$22$	−1.66777	+	0.600869i	−0.355571	+	0.128106i
$23$	8.15225			1.69986			0.849931	−	0.526894i	$-0.176643\pi$
$23$	8.15225			1.69986			0.849931	+	0.526894i	$0.176643\pi$
$24$	3.02490	−	3.85356i	0.617456	−	0.786605i
$25$	3.83600			0.767201
$26$	−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	−0.224873	−	0.974388i	$-0.572197\pi$
$29$	2.72778	−	1.57488i	0.506535	−	0.292448i	0.731408	+	0.681940i	$0.238863\pi$
$30$	0.560414	+	2.58262i	0.102317	+	0.471519i
$31$	8.15326	−	4.70729i	1.46437	−	0.845453i	0.465160	−	0.885227i	$-0.345997\pi$
$31$	8.15326	−	4.70729i	1.46437	−	0.845453i	0.999209	+	0.0397735i	$0.0126636\pi$
$32$	0.891349	+	5.58619i	0.157570	+	0.987508i
$33$	−2.15220	−	0.286022i	−0.374650	−	0.0497900i
$34$	1.07162	+	0.192561i	0.183782	+	0.0330240i
$35$	1.01303	−	2.66866i	0.171234	−	0.451086i
$36$	5.46037	−	2.48684i	0.910062	−	0.414473i
$37$	−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	$0.906216\pi$
$42$	−6.40882	−	0.962827i	−0.988902	−	0.148567i
$43$	−6.74516	+	3.89432i	−1.02863	+	0.593878i	−0.916591	−	0.399826i	$-0.869070\pi$
$43$	−6.74516	+	3.89432i	−1.02863	+	0.593878i	−0.112036	+	0.993704i	$0.535737\pi$
$44$	1.93094	−	1.59891i	0.291100	−	0.241044i
$45$	−0.845357	+	3.12431i	−0.126018	+	0.465745i
$46$	−10.8465	+	3.90781i	−1.59924	+	0.576175i
$47$	−0.969589	+	1.67938i	−0.141429	+	0.244962i	−0.928035	−	0.372493i	$-0.878503\pi$
$47$	−0.969589	+	1.67938i	−0.141429	+	0.244962i	0.786606	+	0.617455i	$0.211836\pi$
$48$	−2.17740	+	6.57715i	−0.314281	+	0.949330i
$49$	5.23670	+	4.64510i	0.748100	+	0.663586i
$50$	−5.10379	+	1.83880i	−0.721785	+	0.260046i
$51$	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	$0.798074\pi$
$54$	7.33908	+	0.371415i	0.998722	+	0.0505431i
$55$			1.35238i			0.182355i
$56$	5.84408	−	4.67405i	0.780948	−	0.624596i
$57$	−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	$-0.991728\pi$
$59$	−4.01212	−	6.94920i	−0.522334	−	0.904709i	0.477329	−	0.878725i	$-0.341605\pi$
$60$	−1.98362	−	3.16753i	−0.256084	−	0.408926i
$61$	−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
$66$	3.00060	−	0.651113i	0.369348	−	0.0801465i
$67$	4.65274	−	2.68626i	0.568423	−	0.328179i	−0.188096	−	0.982151i	$-0.560232\pi$
$67$	4.65274	−	2.68626i	0.568423	−	0.328179i	0.756519	+	0.653972i	$0.226898\pi$
$68$	−1.51810	+	0.257485i	−0.184096	+	0.0312246i
$69$	−13.9971	−	1.86017i	−1.68505	−	0.223938i
$70$	−0.0686075	+	4.03624i	−0.00820016	+	0.482423i
$71$	6.05128			0.718155			0.359077	−	0.933308i	$-0.383091\pi$
$71$	6.05128			0.718155			0.359077	+	0.933308i	$0.383091\pi$
$72$	−6.07293	+	5.92618i	−0.715701	+	0.698407i
$73$	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
$76$	1.32673	−	3.57251i	0.152187	−	0.409794i
$77$	−3.10056	−	1.17699i	−0.353342	−	0.134130i
$78$	3.44591	−	10.7605i	0.390173	−	1.21839i
$79$	11.4816	+	6.62891i	1.29178	+	0.745811i	0.978970	−	0.204004i	$-0.0653957\pi$
$79$	11.4816	+	6.62891i	1.29178	+	0.745811i	0.312812	+	0.949815i	$0.398729\pi$
$80$	4.23985	+	0.804754i	0.474029	+	0.0899743i
$81$	7.77211	+	4.53809i	0.863568	+	0.504233i
$82$	12.1838	+	2.18933i	1.34548	+	0.241771i
$83$	−1.69976	−	2.94408i	−0.186573	−	0.323155i	0.757532	−	0.652798i	$-0.226405\pi$
$83$	−1.69976	−	2.94408i	−0.186573	−	0.323155i	−0.944106	+	0.329643i	$0.893072\pi$
$84$	8.98844	−	1.79105i	0.980720	−	0.195420i
$85$	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	$0.305369\pi$
$90$	−0.372907	−	4.56211i	−0.0393078	−	0.480889i
$91$	−9.45577	+	7.71552i	−0.991234	+	0.808806i
$92$	12.5581	−	10.3987i	1.30927	−	1.08413i
$93$	−15.0729	+	6.22180i	−1.56298	+	0.645170i
$94$	0.485019	−	2.69918i	0.0500259	−	0.278399i
$95$	1.02788	+	1.78035i	0.105459	+	0.182660i
$96$	−0.255755	−	9.79462i	−0.0261029	−	0.999659i
$97$	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	$0.825846\pi$
$98$	−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
$101$			9.69771i			0.964958i	0.875908	+	0.482479i	$0.160264\pi$
$101$			9.69771i			0.964958i	−0.875908	+	0.482479i	$0.839736\pi$
$102$	−1.79599	−	0.575141i	−0.177830	−	0.0569474i
$103$			6.40862i			0.631460i	0.948849	+	0.315730i	$0.102249\pi$
$103$			6.40862i			0.631460i	−0.948849	+	0.315730i	$0.897751\pi$
$104$	6.41254	+	11.3621i	0.628802	+	1.11415i
$105$	−2.34827	+	4.35081i	−0.229167	+	0.424596i
$106$	8.13103	+	1.46107i	0.789756	+	0.141912i
$107$	0.711863	+	1.23298i	0.0688184	+	0.119197i	0.898381	−	0.439216i	$-0.144744\pi$
$107$	0.711863	+	1.23298i	0.0688184	+	0.119197i	−0.829563	+	0.558413i	$0.811410\pi$
$108$	−9.94265	+	3.02385i	−0.956732	+	0.290970i
$109$	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	$-0.0200700\pi$
$110$	−0.648269	−	1.79934i	−0.0618100	−	0.171560i
$111$	1.20317	+	2.91480i	0.114200	+	0.276660i
$112$	−5.53501	+	9.02018i	−0.523009	+	0.852327i
$113$	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	$0.652120\pi$
$114$	3.45527	−	3.13778i	0.323615	−	0.293880i
$115$			8.79536i			0.820171i
$116$	2.19313	−	5.90544i	0.203627	−	0.548307i
$117$	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
$120$	4.15756	+	3.26353i	0.379531	+	0.297918i
$121$	−9.42874			−0.857159
$122$	2.82196	−	15.7045i	0.255488	−	1.42182i
$123$	12.0168	+	9.24420i	1.08352	+	0.833521i
$124$	6.55520	−	17.6512i	0.588674	−	1.58513i
$125$			9.53305i			0.852662i
$126$	10.7840	+	3.11549i	0.960711	+	0.277550i
$127$			2.62932i			0.233315i	0.993172	+	0.116657i	$0.0372179\pi$
$127$			2.62932i			0.233315i	−0.993172	+	0.116657i	$0.962782\pi$
$128$	8.49857	+	7.46822i	0.751174	+	0.660104i
$129$	12.4697	−	5.14726i	1.09790	−	0.453191i
$130$	−6.92705	−	1.24473i	−0.607542	−	0.109170i
$131$	−15.9930			−1.39731			−0.698657	−	0.715456i	$-0.746219\pi$
$131$	−15.9930			−1.39731			−0.698657	+	0.715456i	$0.746219\pi$
$132$	−3.68017	+	2.30465i	−0.320318	+	0.200594i
$133$	−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
$136$	1.89639	−	1.07029i	0.162614	−	0.0917763i
$137$		−	17.6697i		−	1.50962i	−0.655941	−	0.754812i	$-0.727728\pi$
$137$		−	17.6697i		−	1.50962i	0.655941	−	0.754812i	$-0.272272\pi$
$138$	19.5147	−	4.23458i	1.66120	−	0.360472i
$139$	4.19947	+	2.42457i	0.356194	+	0.205649i	0.667410	−	0.744690i	$-0.267403\pi$
$139$	4.19947	+	2.42457i	0.356194	+	0.205649i	−0.311216	+	0.950339i	$0.600736\pi$
$140$	−1.84350	−	5.40309i	−0.155805	−	0.456644i
$141$	2.04794	−	2.66218i	0.172468	−	0.224196i
$142$	−8.05120	+	2.90070i	−0.675642	+	0.243422i
$143$	2.89102	−	5.00740i	0.241759	−	0.418740i
$144$	5.23927	−	10.7958i	0.436606	−	0.899653i
$145$	1.69912	+	2.94296i	0.141104	+	0.244400i
$146$	−2.09540	+	11.6611i	−0.173416	+	0.965080i
$147$	−7.93126	−	9.17034i	−0.654159	−	0.756357i
$148$	−3.41340	−	1.26765i	−0.280580	−	0.104200i
$149$		−	19.2323i		−	1.57557i	−0.615951	−	0.787785i	$-0.711228\pi$
$149$		−	19.2323i		−	1.57557i	0.615951	−	0.787785i	$-0.288772\pi$
$150$	9.18255	−	1.99256i	0.749752	−	0.162692i
$151$			5.48999i			0.446769i	0.974730	+	0.223385i	$0.0717106\pi$
$151$			5.48999i			0.446769i	−0.974730	+	0.223385i	$0.928289\pi$
$152$	−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
$156$	0.573332	+	15.9687i	0.0459033	+	1.27852i
$157$	−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	$0.898387\pi$
$158$	−18.4538	−	3.31599i	−1.46811	−	0.263806i
$159$	8.01956	+	6.16923i	0.635992	+	0.489251i
$160$	−6.02686	+	0.961664i	−0.476465	+	0.0760262i
$161$	−20.1648	−	7.65466i	−1.58921	−	0.603272i
$162$	−12.5161	−	2.31233i	−0.983359	−	0.181673i
$163$	−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	$0.359711\pi$
$164$	−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	$-0.525058\pi$
$167$	10.6487	−	18.4441i	0.824023	−	1.42725i	0.902664	−	0.430346i	$-0.141609\pi$
$168$	−11.1005	+	6.69163i	−0.856425	+	0.516271i
$169$	−4.13863	−	7.16832i	−0.318356	−	0.551409i
$170$	−0.207752	+	1.15616i	−0.0159338	+	0.0886734i
$171$	5.52519	−	1.46599i	0.422521	−	0.112107i
$172$	−5.42309	+	14.6028i	−0.413506	+	1.11345i
$173$	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	$0.563456\pi$
$174$	5.71164	−	5.18683i	0.432999	−	0.393213i
$175$	−9.48847	−	3.60186i	−0.717261	−	0.272275i
$176$	0.934999	−	4.92604i	0.0704782	−	0.371314i
$177$	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	−0.944537	−	0.328404i	$-0.893489\pi$
$179$	−2.51343	+	4.35339i	−0.187863	+	0.325388i	0.756675	+	0.653792i	$0.226823\pi$
$180$	2.68302	+	5.89112i	0.199980	+	0.439098i
$181$	5.01417			0.372701			0.186350	−	0.982483i	$-0.440334\pi$
$181$	5.01417			0.372701			0.186350	+	0.982483i	$0.440334\pi$
$182$	8.88241	−	14.7981i	0.658408	−	1.09691i
$183$	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
$186$	17.0720	−	15.5033i	1.25178	−	1.13676i
$187$	−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	−0.859299	−	0.511474i	$-0.829100\pi$
$191$	0.183814	−	0.318375i	0.0133003	−	0.0230368i	0.872599	+	0.488437i	$0.162433\pi$
$192$	5.03537	+	12.9091i	0.363396	+	0.931635i
$193$	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
$196$	13.9919	+	0.475803i	0.999422	+	0.0339859i
$197$			25.2317i			1.79768i	0.438273	+	0.898842i	$0.355590\pi$
$197$			25.2317i			1.79768i	−0.438273	+	0.898842i	$0.644410\pi$
$198$	−5.30046	+	0.433259i	−0.376687	+	0.0307904i
$199$	−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	$0.766984\pi$
$200$	−5.51658	+	9.34273i	−0.390081	+	0.660631i
$201$	−8.60149	+	3.55053i	−0.606703	+	0.250435i
$202$	−4.64863	−	12.9028i	−0.327077	−	0.907835i
$203$	−8.22599	+	1.33424i	−0.577351	+	0.0936451i
$204$	2.66525	−	0.0956921i	0.186605	−	0.00669979i
$205$	4.72189	−	8.17855i	0.329791	−	0.571215i
$206$	−3.07200	−	8.52664i	−0.214036	−	0.594079i
$207$	23.6079	+	6.38766i	1.64086	+	0.443973i
$208$	−13.9783	−	12.0434i	−0.969223	−	0.835057i
$209$	2.06849	−	1.19424i	0.143080	−	0.0826074i
$210$	1.03878	−	6.91439i	0.0716827	−	0.477138i
$211$	−15.5708	−	8.98980i	−1.07194	−	0.618883i	−0.143227	−	0.989690i	$-0.545748\pi$
$211$	−15.5708	−	8.98980i	−1.07194	−	0.618883i	−0.928710	+	0.370807i	$0.879081\pi$
$212$	−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
$216$	11.7792	−	8.78926i	0.801471	−	0.598034i
$217$	−24.5873	+	3.98800i	−1.66909	+	0.270723i
$218$	−2.89108	+	16.0892i	−0.195809	+	1.08970i
$219$	−8.84758	+	11.5012i	−0.597864	+	0.777181i
$220$	1.72504	+	2.08326i	0.116302	+	0.140454i
$221$	−3.07550	+	1.77564i	−0.206881	+	0.119443i
$222$	−2.99804	−	3.30138i	−0.201215	−	0.221574i
$223$	16.8987	−	9.75646i	1.13162	−	0.653341i	0.187278	−	0.982307i	$-0.440034\pi$
$223$	16.8987	−	9.75646i	1.13162	−	0.653341i	0.944342	+	0.328966i	$0.106700\pi$
$224$	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
$227$	−2.24622			−0.149087			−0.0745433	−	0.997218i	$-0.523750\pi$
$227$	−2.24622			−0.149087			−0.0745433	+	0.997218i	$0.523750\pi$
$228$	−3.09311	+	5.83110i	−0.204846	+	0.386174i
$229$	11.2085			0.740676			0.370338	−	0.928897i	$-0.379242\pi$
$229$	11.2085			0.740676			0.370338	+	0.928897i	$0.379242\pi$
$230$	−4.21609	−	11.7022i	−0.278000	−	0.771619i
$231$	5.05496	+	2.72832i	0.332592	+	0.179510i
$232$	−0.0871480	+	8.90845i	−0.00572155	+	0.584869i
$233$	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	$0.0653787\pi$
$234$	−8.37181	+	17.6891i	−0.547282	+	1.15637i
$235$	−1.81186	−	1.04608i	−0.118193	−	0.0682385i
$236$	−15.0445	−	5.58714i	−0.979315	−	0.363692i
$237$	−18.2008	−	14.0014i	−1.18227	−	0.909489i
$238$	−2.46988	−	1.48252i	−0.160099	−	0.0960975i
$239$	−8.80139	+	15.2444i	−0.569314	+	0.986081i	0.427319	+	0.904101i	$0.359458\pi$
$239$	−8.80139	+	15.2444i	−0.569314	+	0.986081i	−0.996634	+	0.0819808i	$0.973875\pi$
$240$	−7.09600	−	2.34917i	−0.458045	−	0.151638i
$241$	−23.8149			−1.53405			−0.767027	−	0.641614i	$-0.778265\pi$
$241$	−23.8149			−1.53405			−0.767027	+	0.641614i	$0.778265\pi$
$242$	12.5449	−	4.51970i	0.806417	−	0.290537i
$243$	−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
$246$	−20.4196	−	6.53907i	−1.30190	−	0.416916i
$247$		−	8.78934i		−	0.559252i
$248$	−0.260483	+	26.6272i	−0.0165407	+	1.69083i
$249$	2.24664	+	5.44270i	0.142375	+	0.344917i
$250$	−4.56970	−	12.6837i	−0.289013	−	0.802186i
$251$	−21.3912			−1.35020			−0.675102	−	0.737725i	$-0.735900\pi$
$251$	−21.3912			−1.35020			−0.675102	+	0.737725i	$0.735900\pi$
$252$	−15.8414	+	1.02418i	−0.997917	+	0.0645175i
$253$	10.2188			0.642452
$254$	−1.26038	−	3.49830i	−0.0790830	−	0.219503i
$255$	−0.877209	+	1.14031i	−0.0549329	+	0.0714089i
$256$	−14.8872	−	5.86262i	−0.930452	−	0.366414i
$257$			16.1062i			1.00467i	0.864672	+	0.502337i	$0.167526\pi$
$257$			16.1062i			1.00467i	−0.864672	+	0.502337i	$0.832474\pi$
$258$	−14.1236	+	12.8258i	−0.879295	+	0.798501i
$259$	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
$262$	21.2786	−	7.66630i	1.31460	−	0.473626i
$263$	−29.4009			−1.81294			−0.906468	−	0.422274i	$-0.861232\pi$
$263$	−29.4009			−1.81294			−0.906468	+	0.422274i	$0.861232\pi$
$264$	3.79171	−	4.83043i	0.233364	−	0.297293i
$265$	3.15121	−	5.45805i	0.193577	−	0.335285i
$266$	6.23407	−	3.45933i	0.382235	−	0.212105i
$267$	−2.65045	+	1.09405i	−0.162205	+	0.0669550i
$268$	3.74079	−	10.0729i	0.228505	−	0.615298i
$269$	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	$0.469005\pi$
$270$	−0.400714	+	7.91803i	−0.0243867	+	0.481876i
$271$	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	$0.312717\pi$
$272$	−2.01010	+	2.33306i	−0.121880	+	0.141462i
$273$	17.9957	−	11.0896i	1.08915	−	0.671172i
$274$	8.47004	+	23.5095i	0.511694	+	1.42026i
$275$	4.80842			0.289959
$276$	−23.9344	+	14.9885i	−1.44068	+	0.902204i
$277$	−0.682438			−0.0410037			−0.0205019	−	0.999790i	$-0.506526\pi$
$277$	−0.682438			−0.0410037			−0.0205019	+	0.999790i	$0.506526\pi$
$278$	−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	−0.715801	−	0.698304i	$-0.753938\pi$
$281$	−7.86108	+	4.53860i	−0.468953	+	0.270750i	0.246848	+	0.969054i	$0.420605\pi$
$282$	−1.44865	+	4.52370i	−0.0862660	+	0.269383i
$283$	3.26210	−	1.88338i	0.193912	−	0.111955i	−0.399901	−	0.916558i	$-0.630955\pi$
$283$	3.26210	−	1.88338i	0.193912	−	0.111955i	0.593813	+	0.804603i	$0.297622\pi$
$284$	9.32163	−	7.71875i	0.553137	−	0.458023i
$285$	−1.35859	−	3.29132i	−0.0804761	−	0.194961i
$286$	−1.44618	+	8.04814i	−0.0855144	+	0.475897i
$287$	14.6412	+	17.9436i	0.864244	+	1.05918i
$288$	−1.79581	+	16.8753i	−0.105819	+	0.994385i
$289$	−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	$0.458778\pi$
$294$	14.9483	+	8.39922i	0.871805	+	0.489853i
$295$	7.49740	−	4.32862i	0.436515	−	0.252022i
$296$	5.14917	+	0.0503723i	0.299289	+	0.00292783i
$297$	−6.00837	−	2.51463i	−0.348641	−	0.145914i
$298$	9.21906	+	25.5885i	0.534046	+	1.48230i
$299$	18.8021	−	32.5661i	1.08735	−	1.88335i
$300$	−11.2622	+	7.05279i	−0.650224	+	0.407193i
$301$	20.3410	−	3.29926i	1.17243	−	0.190166i
$302$	−2.63165	−	7.30441i	−0.151434	−	0.420322i
$303$	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
$306$	2.95240	+	1.39730i	0.168777	+	0.0798782i
$307$		−	21.4356i		−	1.22339i	−0.791093	−	0.611696i	$-0.790487\pi$
$307$		−	21.4356i		−	1.22339i	0.791093	−	0.611696i	$-0.209513\pi$
$308$	−6.27755	+	2.14186i	−0.357696	+	0.122044i
$309$	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	$0.162506\pi$
$311$	15.1560	+	26.2509i	0.859416	+	1.48855i	−0.0130710	+	0.999915i	$0.504161\pi$
$312$	−8.41746	−	20.9714i	−0.476545	−	1.18727i
$313$	−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	$0.532796\pi$
$318$	−13.6272	−	4.36393i	−0.764177	−	0.244717i
$319$	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
$322$	30.4985	+	0.518410i	1.69962	+	0.0288899i
$323$	−1.46699			−0.0816253
$324$	17.7611	−	2.92311i	0.986726	−	0.162395i
$325$	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
$328$	21.5611	−	12.1687i	1.19051	−	0.671901i
$329$	3.97518	−	3.24358i	0.219159	−	0.178824i
$330$	0.702478	+	3.23730i	0.0386701	+	0.178208i
$331$	−12.8571	−	7.42307i	−0.706692	−	0.408009i	0.103143	−	0.994667i	$-0.467110\pi$
$331$	−12.8571	−	7.42307i	−0.706692	−	0.408009i	−0.809835	+	0.586658i	$0.800443\pi$
$332$	−6.37372	−	2.36703i	−0.349804	−	0.129908i
$333$	−1.40070	−	5.27912i	−0.0767578	−	0.289294i
$334$	−5.32682	+	29.6443i	−0.291471	+	1.62207i
$335$	2.89817	+	5.01978i	0.158344	+	0.274260i
$336$	11.5616	−	14.2243i	0.630735	−	0.775998i
$337$	−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
$342$	−6.64851	+	4.59901i	−0.359510	+	0.248686i
$343$	−8.59155	−	16.4069i	−0.463900	−	0.885888i
$344$	0.215497	−	22.0285i	0.0116188	−	1.18770i
$345$	2.00692	−	15.1012i	0.108049	−	0.813023i
$346$	−11.6655	−	2.09619i	−0.627144	−	0.112692i
$347$	12.9325	+	22.3998i	0.694253	+	1.20248i	0.970432	+	0.241376i	$0.0775986\pi$
$347$	12.9325	+	22.3998i	0.694253	+	1.20248i	−0.276178	+	0.961106i	$0.589068\pi$
$348$	−5.11300	+	9.63896i	−0.274085	+	0.516702i
$349$	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	$0.681711\pi$
$350$	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
$353$			1.32022i			0.0702681i	0.999383	+	0.0351340i	$0.0111858\pi$
$353$			1.32022i			0.0702681i	−0.999383	+	0.0351340i	$0.988814\pi$
$354$	−13.2138	−	14.5508i	−0.702306	−	0.773367i
$355$			6.52864i			0.346504i
$356$	1.15268	−	3.10383i	0.0610919	−	0.164503i
$357$	−1.85091	−	3.00357i	−0.0979605	−	0.158966i
$358$	1.25730	−	6.99700i	0.0664503	−	0.369803i
$359$	−12.1895	−	21.1128i	−0.643335	−	1.11429i	−0.984683	−	0.174352i	$-0.944217\pi$
$359$	−12.1895	−	21.1128i	−0.643335	−	1.11429i	0.341348	−	0.939937i	$-0.389117\pi$
$360$	−6.39367	−	6.55200i	−0.336976	−	0.345321i
$361$	−7.68462	+	13.3102i	−0.404454	+	0.700535i
$362$	−6.67134	+	2.40356i	−0.350638	+	0.126328i
$363$	16.1887	+	2.15144i	0.849688	+	0.112921i
$364$	−4.72447	+	23.9467i	−0.247630	+	1.25515i
$365$	7.82765	+	4.51930i	0.409718	+	0.236551i
$366$	−8.42862	+	26.3200i	−0.440571	+	1.37577i
$367$			17.4070i			0.908639i	0.890839	+	0.454319i	$0.150117\pi$
$367$			17.4070i			0.908639i	−0.890839	+	0.454319i	$0.849883\pi$
$368$	6.08086	−	32.0370i	0.316987	−	1.67005i
$369$	−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
$372$	−15.2826	+	28.8106i	−0.792367	+	1.49376i
$373$	−24.8515			−1.28676			−0.643381	−	0.765546i	$-0.722469\pi$
$373$	−24.8515			−1.28676			−0.643381	+	0.765546i	$0.722469\pi$
$374$	1.34328	+	0.241375i	0.0694592	+	0.0124812i
$375$	2.17524	−	16.3678i	0.112329	−	0.845230i
$376$	−2.69582	−	4.77660i	−0.139026	−	0.246334i
$377$		−	14.5290i		−	0.748282i
$378$	−17.8047	−	7.80983i	−0.915774	−	0.401694i
$379$			12.9282i			0.664079i	0.943266	+	0.332039i	$0.107737\pi$
$379$			12.9282i			0.664079i	−0.943266	+	0.332039i	$0.892263\pi$
$380$	3.85433	+	1.43139i	0.197723	+	0.0734290i
$381$	0.599956	−	4.51443i	0.0307367	−	0.231281i
$382$	−0.0919494	+	0.511708i	−0.00470454	+	0.0261813i
$383$	4.73664			0.242031			0.121015	−	0.992651i	$-0.461385\pi$
$383$	4.73664			0.242031			0.121015	+	0.992651i	$0.461385\pi$
$384$	−12.8876	−	14.7618i	−0.657666	−	0.753310i
$385$	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
$388$	0.868668	+	0.322600i	0.0440999	+	0.0163775i
$389$		−	31.8600i		−	1.61537i	−0.589615	−	0.807684i	$-0.700721\pi$
$389$		−	31.8600i		−	1.61537i	0.589615	−	0.807684i	$-0.299279\pi$
$390$	11.6094	+	3.71775i	0.587865	+	0.188256i
$391$	−5.43546	−	3.13816i	−0.274883	−	0.158704i
$392$	−18.8443	+	6.07402i	−0.951779	+	0.306784i
$393$	27.4593	+	3.64927i	1.38514	+	0.184081i
$394$	−12.0949	−	33.5707i	−0.609333	−	1.69127i
$395$	−7.15184	+	12.3874i	−0.359848	+	0.623276i
$396$	6.84456	−	3.11725i	0.343952	−	0.156647i
$397$	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	$0.823603\pi$
$398$	12.1727	+	2.18732i	0.610160	+	0.109640i
$399$	8.72830	−	0.250346i	0.436961	−	0.0125330i
$400$	2.86132	−	15.0749i	0.143066	−	0.753743i
$401$			12.5022i			0.624329i	0.950028	+	0.312164i	$0.101054\pi$
$401$			12.5022i			0.624329i	−0.950028	+	0.312164i	$0.898946\pi$
$402$	9.74229	−	8.84713i	0.485901	−	0.441255i
$403$		−	43.4269i		−	2.16325i
$404$	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
$408$	−3.50024	+	1.40492i	−0.173288	+	0.0695538i
$409$	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	$0.589495\pi$
$410$	−2.36204	+	13.1450i	−0.116653	+	0.649185i
$411$	−4.03185	+	30.3381i	−0.198877	+	1.49647i
$412$	8.17456	+	9.87210i	0.402731	+	0.486363i
$413$	3.39906	+	20.9563i	0.167257	+	1.03119i
$414$	−34.4721	+	2.81775i	−1.69421	+	0.138485i
$415$	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	−0.847013	−	0.531571i	$-0.821602\pi$
$419$	0.754253	−	1.30640i	0.0368477	−	0.0638220i	0.883861	+	0.467749i	$0.154935\pi$
$420$	1.93234	+	9.69751i	0.0942887	+	0.473190i
$421$	−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	$-0.501539\pi$
$422$	25.0262	+	4.49698i	1.21825	+	0.218909i
$423$	−4.12367	+	4.10354i	−0.200500	+	0.199521i
$424$	14.3890	−	8.12089i	0.698794	−	0.394385i
$425$	−2.55763	−	1.47665i	−0.124063	−	0.0716279i
$426$	14.4854	−	3.14326i	0.701822	−	0.152291i
$427$	23.1286	−	18.8720i	1.11927	−	0.913279i
$428$	2.66932	+	0.991315i	0.129027	+	0.0479170i
$429$	−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	−0.959691	−	0.281058i	$-0.909315\pi$
$431$	−4.90866	+	8.50204i	−0.236442	+	0.409529i	0.723249	+	0.690587i	$0.242648\pi$
$432$	−11.4590	+	17.3405i	−0.551320	+	0.834294i
$433$	−0.806705			−0.0387678			−0.0193839	−	0.999812i	$-0.506170\pi$
$433$	−0.806705			−0.0387678			−0.0193839	+	0.999812i	$0.506170\pi$
$434$	30.8016	−	17.0920i	1.47853	−	0.820444i
$435$	−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
$438$	6.25852	−	19.5435i	0.299044	−	0.933823i
$439$	2.63017	+	1.51853i	0.125531	+	0.0724755i	0.561451	−	0.827510i	$-0.310243\pi$
$439$	2.63017	+	1.51853i	0.125531	+	0.0724755i	−0.435920	+	0.899986i	$0.643577\pi$
$440$	−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	−0.987924	−	0.154937i	$-0.950483\pi$
$443$	−7.57256	+	13.1161i	−0.359783	+	0.623163i	0.628141	+	0.778099i	$0.283816\pi$
$444$	5.57140	+	2.95536i	0.264407	+	0.140255i
$445$	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
$448$	2.97941	+	20.9553i	0.140764	+	0.990043i
$449$		−	15.0283i		−	0.709229i	−0.935013	−	0.354614i	$-0.884612\pi$
$449$		−	15.0283i		−	0.709229i	0.935013	−	0.354614i	$-0.115388\pi$
$450$	−16.2207	+	1.32588i	−0.764651	+	0.0625025i
$451$	−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
$454$	2.98858	−	1.07673i	0.140261	−	0.0505335i
$455$	−8.32417	−	10.2017i	−0.390243	−	0.478263i
$456$	1.32022	−	9.24095i	0.0618248	−	0.432747i
$457$	−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	$0.197495\pi$
$458$	−14.9128	+	5.37281i	−0.696830	+	0.251055i
$459$	2.42366	+	3.18269i	0.113127	+	0.148555i
$460$	11.2190	+	13.5487i	0.523087	+	0.631712i
$461$	−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	$0.601187\pi$
$462$	−8.03344	−	1.20690i	−0.373749	−	0.0561501i
$463$	5.84969	+	3.37732i	0.271858	+	0.156957i	0.629732	−	0.776813i	$-0.283165\pi$
$463$	5.84969	+	3.37732i	0.271858	+	0.156957i	−0.357874	+	0.933770i	$0.616498\pi$
$464$	−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	$0.0101854\pi$
$467$	11.3983	+	19.7424i	0.527451	+	0.913572i	−0.472037	+	0.881579i	$0.656481\pi$
$468$	2.65933	−	27.5483i	0.122928	−	1.27342i
$469$	−14.0310	+	2.27580i	−0.647891	+	0.105086i
$470$	2.91211	+	0.523280i	0.134326	+	0.0241371i
$471$	3.36116	+	8.14272i	0.154874	+	0.375197i
$472$	22.6949	+	0.222016i	1.04462	+	0.0102191i
$473$	−8.45503	+	4.88152i	−0.388763	+	0.224452i
$474$	30.9278	+	9.90418i	1.42056	+	0.454914i
$475$	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
$479$	19.1115			0.873226			0.436613	−	0.899649i	$-0.356178\pi$
$479$	19.1115			0.873226			0.436613	+	0.899649i	$0.356178\pi$
$480$	10.5673	−	0.275930i	0.482328	−	0.0125944i
$481$	−8.39790			−0.382911
$482$	31.6857	−	11.4158i	1.44324	−	0.519974i
$483$	32.8755	+	17.7439i	1.49589	+	0.807375i
$484$	−14.5244	+	12.0269i	−0.660201	+	0.546677i
$485$	−0.432898	+	0.249934i	−0.0196569	+	0.0113489i
$486$	20.9620	+	6.82607i	0.950855	+	0.309637i
$487$	−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	$0.775784\pi$
$488$	−15.6849	−	27.7914i	−0.710023	−	1.25806i
$489$	3.38377	−	1.39676i	0.153019	−	0.0631635i
$490$	3.95958	−	9.91934i	0.178876	−	0.448110i
$491$	−0.446816	+	0.773908i	−0.0201645	+	0.0349260i	−0.875932	−	0.482435i	$-0.839752\pi$
$491$	−0.446816	+	0.773908i	−0.0201645	+	0.0349260i	0.855767	+	0.517361i	$0.173086\pi$
$492$	30.3027	−	1.08797i	1.36615	−	0.0490496i
$493$	−2.42497			−0.109215
$494$	4.21320	+	11.6942i	0.189561	+	0.526146i
$495$	−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
$498$	−5.59813	−	6.16456i	−0.250858	−	0.276240i
$499$			12.7553i			0.571006i	0.958378	+	0.285503i	$0.0921606\pi$
$499$			12.7553i			0.571006i	−0.958378	+	0.285503i	$0.907839\pi$
$500$	12.1599	+	14.6851i	0.543809	+	0.656737i
$501$	−22.4919	+	29.2379i	−1.00487	+	1.30625i
$502$	28.4610	−	10.2540i	1.27028	−	0.457657i
$503$	−21.6142			−0.963728			−0.481864	−	0.876246i	$-0.660040\pi$
$503$	−21.6142			−0.963728			−0.481864	+	0.876246i	$0.660040\pi$
$504$	20.5860	−	8.95632i	0.916974	−	0.398946i
$505$	−10.4627			−0.465585
$506$	−13.5961	+	4.89843i	−0.604421	+	0.217762i
$507$	5.47018	+	13.2520i	0.242939	+	0.588543i
$508$	3.35385	+	4.05031i	0.148803	+	0.179704i
$509$			1.92634i			0.0853837i	0.999088	+	0.0426918i	$0.0135934\pi$
$509$			1.92634i			0.0853837i	−0.999088	+	0.0426918i	$0.986407\pi$
$510$	0.620512	−	1.93767i	0.0274767	−	0.0858015i
$511$	−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
$514$	−7.72054	−	21.4292i	−0.340539	−	0.945200i
$515$	−6.91417			−0.304675
$516$	12.6432	−	23.8349i	0.556588	−	1.04927i
$517$	−1.21538	+	2.10510i	−0.0534522	+	0.0925820i
$518$	−3.30526	−	5.95643i	−0.145225	−	0.261710i
$519$	−11.5056	−	8.85095i	−0.505040	−	0.388514i
$520$	−12.2584	+	6.91841i	−0.537567	+	0.303392i
$521$	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	$0.612680\pi$
$522$	−10.9902	+	7.60228i	−0.481026	+	0.332743i
$523$	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	$0.246536\pi$
$524$	−24.6363	+	20.4000i	−1.07624	+	0.891177i
$525$	15.4694	+	8.34931i	0.675140	+	0.364394i
$526$	39.1178	−	14.0934i	1.70562	−	0.614503i
$527$	−7.24817			−0.315735
$528$	−2.72937	+	8.24444i	−0.118781	+	0.358793i
$529$	43.4592			1.88953
$530$	−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
$534$	3.00197	−	2.72613i	0.129908	−	0.117971i
$535$	−1.33025	+	0.768019i	−0.0575117	+	0.0332044i
$536$	−0.148647	+	15.1951i	−0.00642059	+	0.656327i
$537$	5.30881	−	6.90107i	0.229092	−	0.297803i
$538$	−26.5653	−	4.77354i	−1.14531	−	0.205802i
$539$	6.56419	+	5.82263i	0.282740	+	0.250798i
$540$	−3.26239	−	10.7270i	−0.140391	−	0.461616i
$541$	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
$546$	−18.6273	+	23.3809i	−0.797175	+	1.00061i
$547$	−7.72518	+	4.46014i	−0.330305	+	0.190702i	−0.655977	−	0.754781i	$-0.727743\pi$
$547$	−7.72518	+	4.46014i	−0.330305	+	0.190702i	0.325671	+	0.945483i	$0.394410\pi$
$548$	−22.5387	−	27.2191i	−0.962806	−	1.16274i
$549$	−23.9926	+	23.8754i	−1.02398	+	1.01898i
$550$	−6.39759	+	2.30493i	−0.272794	+	0.0982827i
$551$	3.00087	−	5.19765i	0.127841	−	0.221427i
$552$	24.6598	−	31.4152i	1.04959	−	1.33712i
$553$	−22.1758	−	27.1776i	−0.943011	−	1.15571i
$554$	0.907981	−	0.327129i	0.0385764	−	0.0138984i
$555$	−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	$0.791957\pi$
$558$	−32.8493	+	22.7230i	−1.39062	+	0.961943i
$559$			35.9269i			1.51954i
$560$	−9.73176	−	5.97164i	−0.411242	−	0.252348i
$561$	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	0.521376	−	0.853327i	$-0.325419\pi$
$563$	−11.3493	−	19.6575i	−0.478315	−	0.828465i	−0.999691	+	0.0248617i	$0.992085\pi$
$564$	−0.241027	−	6.71318i	−0.0101491	−	0.282676i
$565$	−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	$0.762693\pi$
$570$	3.38531	+	3.72784i	0.141795	+	0.156142i
$571$	−8.96277	+	5.17466i	−0.375080	+	0.216553i	−0.675676	−	0.737199i	$-0.736148\pi$
$571$	−8.96277	+	5.17466i	−0.375080	+	0.216553i	0.300595	+	0.953752i	$0.402815\pi$
$572$	−1.93377	−	11.4013i	−0.0808550	−	0.476710i
$573$	−0.388246	+	0.504693i	−0.0162192	+	0.0210838i
$574$	−28.0814	−	16.8555i	−1.17209	−	0.703537i
$575$	31.2721			1.30414
$576$	−5.69991	−	23.3133i	−0.237496	−	0.971388i
$577$	−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
$580$	6.37131	+	2.36613i	0.264554	+	0.0982483i
$581$	1.44004	+	8.87828i	0.0597428	+	0.368333i
$582$	0.762963	+	0.840161i	0.0316258	+	0.0348258i
$583$	−6.34140	−	3.66121i	−0.262634	−	0.151632i
$584$	11.6466	+	20.6360i	0.481938	+	0.853925i
$585$	10.5311	+	10.5828i	0.435408	+	0.437544i
$586$	−28.9557	−	5.20308i	−1.19615	−	0.214937i
$587$	13.3823	+	23.1788i	0.552346	+	0.956691i	0.998105	+	0.0615378i	$0.0196005\pi$
$587$	13.3823	+	23.1788i	0.552346	+	0.956691i	−0.445759	+	0.895153i	$0.647066\pi$
$588$	−23.9149	−	4.00959i	−0.986234	−	0.165353i
$589$	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	$0.235901\pi$
$594$	9.19951	+	0.465567i	0.377461	+	0.0191025i
$595$	−1.70272	+	1.38935i	−0.0698046	+	0.0569577i
$596$	−24.5318	−	29.6262i	−1.00486	−	1.21354i
$597$	12.0058	+	9.23571i	0.491363	+	0.377992i
$598$	−9.40538	+	52.3419i	−0.384615	+	2.14042i
$599$	−8.31289	−	14.3983i	−0.339655	−	0.588300i	0.644713	−	0.764425i	$-0.276977\pi$
$599$	−8.31289	−	14.3983i	−0.339655	−	0.588300i	−0.984368	+	0.176125i	$0.943644\pi$
$600$	11.6035	−	14.7823i	0.473713	−	0.603484i
$601$	−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	$0.859983\pi$
$602$	−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
$605$		−	10.1725i		−	0.413573i
$606$	5.03735	+	23.2142i	0.204628	+	0.943012i
$607$			14.6552i			0.594836i	0.954747	+	0.297418i	$0.0961255\pi$
$607$			14.6552i			0.594836i	−0.954747	+	0.297418i	$0.903874\pi$
$608$	6.79299	+	8.36896i	0.275492	+	0.339406i
$609$	14.4281	−	0.413828i	0.584656	−	0.0167692i
$610$	16.9434	+	3.04458i	0.686018	+	0.123271i
$611$	4.47245	+	7.74651i	0.180936	+	0.313390i
$612$	−4.59796	−	0.443856i	−0.185861	−	0.0179418i
$613$	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	$-0.0111699\pi$
$614$	10.2752	+	28.5199i	0.414674	+	1.15097i
$615$	−9.97344	+	12.9648i	−0.402168	+	0.522790i
$616$	7.32554	−	5.85891i	0.295154	−	0.236062i
$617$	−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	$0.834404\pi$
$618$	3.32888	+	15.3408i	0.133907	+	0.617099i
$619$			41.2872i			1.65947i	0.558156	+	0.829736i	$0.311509\pi$
$619$			41.2872i			1.65947i	−0.558156	+	0.829736i	$0.688491\pi$
$620$	19.0437	+	7.07231i	0.764812	+	0.284031i
$621$	−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
$624$	21.2521	+	23.8675i	0.850766	+	0.955463i
$625$	8.89494			0.355798
$626$	6.11946	−	34.0555i	0.244583	−	1.36113i
$627$	−3.82400	+	1.57847i	−0.152716	+	0.0630381i
$628$	−9.53560	−	3.54127i	−0.380512	−	0.141312i
$629$			1.40165i			0.0558876i
$630$	−3.36126	+	11.6347i	−0.133916	+	0.463536i
$631$			14.3055i			0.569494i	0.958603	+	0.284747i	$0.0919096\pi$
$631$			14.3055i			0.569494i	−0.958603	+	0.284747i	$0.908090\pi$
$632$	−32.6568	+	18.4308i	−1.29902	+	0.733139i
$633$	24.6831	+	18.9880i	0.981063	+	0.754705i
$634$	−20.2363	−	3.63628i	−0.803684	−	0.144415i
$635$	−2.83674			−0.112573
$636$	20.2228	−	0.726072i	0.801888	−	0.0287906i
$637$	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
$640$	−8.05737	+	9.16899i	−0.318495	+	0.362436i
$641$			21.3934i			0.844989i	0.906365	+	0.422495i	$0.138845\pi$
$641$			21.3934i			0.844989i	−0.906365	+	0.422495i	$0.861155\pi$
$642$	2.34450	+	2.58172i	0.0925301	+	0.101892i
$643$	−3.46660	−	2.00144i	−0.136709	−	0.0789293i	0.430085	−	0.902788i	$-0.358483\pi$
$643$	−3.46660	−	2.00144i	−0.136709	−	0.0789293i	−0.566795	+	0.823859i	$0.691817\pi$
$644$	−40.8267	+	13.9298i	−1.60880	+	0.548913i
$645$	5.55331	+	13.4534i	0.218662	+	0.529728i
$646$	1.95182	−	0.703205i	0.0767933	−	0.0276672i
$647$	8.71367	−	15.0925i	0.342570	−	0.593348i	−0.642339	−	0.766420i	$-0.722036\pi$
$647$	8.71367	−	15.0925i	0.342570	−	0.593348i	0.984909	+	0.173072i	$0.0553694\pi$
$648$	−22.2298	+	12.4030i	−0.873270	+	0.487236i
$649$	−5.02918	−	8.71080i	−0.197413	−	0.341929i
$650$	−4.42566	+	24.6293i	−0.173589	+	0.966039i
$651$	43.1252	−	1.23692i	1.69021	−	0.0484788i
$652$	−1.47160	+	3.96260i	−0.0576324	+	0.155187i
$653$			23.8533i			0.933451i	0.884402	+	0.466725i	$0.154566\pi$
$653$			23.8533i			0.933451i	−0.884402	+	0.466725i	$0.845434\pi$
$654$	8.63507	−	26.9647i	0.337658	−	1.05440i
$655$		−	17.2546i		−	0.674194i
$656$	−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	−0.917103	−	0.398649i	$-0.869479\pi$
$659$	−20.6341	−	35.7394i	−0.803792	−	1.39221i	0.113311	−	0.993560i	$-0.463854\pi$
$660$	−2.48646	−	3.97049i	−0.0967852	−	0.154551i
$661$	−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	$-0.580455\pi$
$662$	20.6647	+	3.71325i	0.803155	+	0.144320i
$663$	5.68567	−	2.34693i	0.220813	−	0.0911474i
$664$	9.61486	+	0.0940585i	0.373129	+	0.00365018i
$665$	−0.870822	−	5.36889i	−0.0337690	−	0.208197i
$666$	4.39419	+	6.35241i	0.170271	+	0.246151i
$667$	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
$672$	−8.56417	+	24.4674i	−0.330370	+	0.943852i
$673$	−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	$0.900826\pi$
$674$	3.05346	−	16.9928i	0.117615	−	0.654539i
$675$	−18.3871	−	7.69537i	−0.707719	−	0.296195i
$676$	−15.5189	−	5.76331i	−0.596881	−	0.221666i
$677$	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	$0.541755\pi$
$678$	2.26579	+	0.725589i	0.0870173	+	0.0278661i
$679$	−0.196261	−	1.21001i	−0.00753181	−	0.0464360i
$680$	1.15472	+	2.04599i	0.0442814	+	0.0784603i
$681$	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	$-0.602198\pi$
$683$	17.3527	−	30.0558i	0.663984	−	1.15005i	0.979560	−	0.201153i	$-0.0644690\pi$
$684$	6.64127	−	9.30595i	0.253935	−	0.355822i
$685$	19.0636			0.728383
$686$	19.2957	+	17.7109i	0.736714	+	0.676205i
$687$	−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
$690$	4.56864	+	21.0542i	0.173925	+	0.801518i
$691$	34.1595	+	19.7220i	1.29949	+	0.750261i	0.980316	−	0.197435i	$-0.0632611\pi$
$691$	34.1595	+	19.7220i	1.29949	+	0.750261i	0.319174	+	0.947696i	$0.396594\pi$
$692$	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
$696$	2.18235	−	15.2755i	0.0827218	−	0.579017i
$697$	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
$700$	−19.2108	+	6.55462i	−0.726100	+	0.247741i
$701$		−	17.5139i		−	0.661493i	−0.943720	−	0.330746i	$-0.892700\pi$
$701$		−	17.5139i		−	0.661493i	0.943720	−	0.330746i	$-0.107300\pi$
$702$	18.4103	−	28.4611i	0.694852	−	1.07419i
$703$	−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
$706$	−0.632851	−	1.75654i	−0.0238177	−	0.0661084i
$707$	9.10579	−	23.9876i	0.342458	−	0.902145i
$708$	24.5559	+	13.0257i	0.922868	+	0.489536i
$709$	−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	$0.968274\pi$
$710$	−3.12953	−	8.68634i	−0.117449	−	0.325992i
$711$	28.0552	+	28.1928i	1.05215	+	1.05731i
$712$	−0.0458039	+	4.68217i	−0.00171657	+	0.175472i
$713$	66.4674	−	38.3750i	2.48922	−	1.43715i
$714$	3.90240	+	3.10900i	0.146044	+	0.116351i
$715$	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	$-0.977568\pi$
$719$	−15.0090	−	25.9963i	−0.559740	−	0.969498i	0.437778	−	0.899083i	$-0.355766\pi$
$720$	11.6475	+	5.65258i	0.434076	+	0.210659i
$721$	6.01746	−	15.8519i	0.224102	−	0.590356i
$722$	3.84409	−	21.3928i	0.143062	−	0.796156i
$723$	40.8892	+	5.43407i	1.52068	+	0.202095i
$724$	7.72404	−	6.39586i	0.287062	−	0.237700i
$725$	10.4638	−	6.04125i	0.388614	−	0.224367i
$726$	−22.5703	+	4.89764i	−0.837664	+	0.181769i
$727$	−13.9782	+	8.07030i	−0.518422	+	0.299311i	−0.736289	−	0.676668i	$-0.763423\pi$
$727$	−13.9782	+	8.07030i	−0.518422	+	0.299311i	0.217867	+	0.975978i	$0.430090\pi$
$728$	−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
$731$	5.99638			0.221784
$732$	−1.40236	−	39.0590i	−0.0518326	−	1.44366i
$733$	17.3476			0.640749			0.320374	−	0.947291i	$-0.396191\pi$
$733$	17.3476			0.640749			0.320374	+	0.947291i	$0.396191\pi$
$734$	−8.34412	−	23.1600i	−0.307987	−	0.854850i
$735$	9.89376	−	8.55693i	0.364937	−	0.315627i
$736$	7.26650	+	45.5400i	0.267847	+	1.67863i
$737$	5.83220	−	3.36722i	0.214832	−	0.124033i
$738$	33.5674	+	15.8866i	1.23563	+	0.584794i
$739$	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	$0.634190\pi$
$740$	1.36765	−	3.68267i	0.0502757	−	0.135378i
$741$	−2.00554	+	15.0909i	−0.0736754	+	0.554378i
$742$	−18.7405	−	11.2487i	−0.687984	−	0.412954i
$743$	11.8746	−	20.5674i	0.435637	−	0.754545i	−0.561711	−	0.827334i	$-0.689857\pi$
$743$	11.8746	−	20.5674i	0.435637	−	0.754545i	0.997347	+	0.0727889i	$0.0231899\pi$
$744$	6.52299	−	45.6582i	0.239145	−	1.67391i
$745$	20.7494			0.760201
$746$	33.0648	−	11.9127i	1.21059	−	0.436153i
$747$	−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
$750$	4.95182	+	22.8200i	0.180815	+	0.833269i
$751$		−	2.31025i		−	0.0843021i	−0.999111	−	0.0421510i	$-0.986579\pi$
$751$		−	2.31025i		−	0.0843021i	0.999111	−	0.0421510i	$-0.0134211\pi$
$752$	5.87645	+	5.06299i	0.214292	+	0.184628i
$753$	36.7278	+	4.88103i	1.33844	+	0.177875i
$754$	6.96453	+	19.3308i	0.253633	+	0.703986i
$755$	−5.92308			−0.215563
$756$	27.4327	+	1.85620i	0.997719	+	0.0675095i
$757$	38.3537			1.39399			0.696995	−	0.717076i	$-0.254520\pi$
$757$	38.3537			1.39399			0.696995	+	0.717076i	$0.254520\pi$
$758$	−6.19719	−	17.2010i	−0.225092	−	0.624767i
$759$	−17.5453	−	2.33172i	−0.636853	−	0.0846361i
$760$	−5.81431	−	0.0568792i	−0.210907	−	0.00206323i
$761$		−	43.3095i		−	1.56997i	−0.619516	−	0.784984i	$-0.712671\pi$
$761$		−	43.3095i		−	1.56997i	0.619516	−	0.784984i	$-0.287329\pi$
$762$	1.36577	+	6.29402i	0.0494766	+	0.228008i
$763$	−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
$766$	−6.30208	+	2.27053i	−0.227703	+	0.0820374i
$767$	−37.0137			−1.33649
$768$	24.2230	+	13.4628i	0.874071	+	0.485797i
$769$	−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	$0.268010\pi$
$770$	−0.0859993	+	5.05942i	−0.00309920	+	0.182329i
$771$	3.67509	−	27.6535i	0.132355	−	0.995918i
$772$	51.7524	+	19.2195i	1.86261	+	0.691724i
$773$	−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	$0.691466\pi$
$774$	27.1761	−	18.7987i	0.976825	−	0.675704i
$775$	31.2759	−	18.0572i	1.12346	−	0.648632i
$776$	−1.31040	−	0.0128191i	−0.0470406	−	0.000460180i
$777$	−0.239196	−	8.33957i	−0.00858112	−	0.299181i
$778$	15.2722	+	42.3897i	0.547536	+	1.51974i
$779$	−16.6789			−0.597585
$780$	−17.2284	+	0.618560i	−0.616875	+	0.0221480i
$781$	7.58526			0.271422
$782$	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
$786$	−38.2837	+	8.30736i	−1.36554	+	0.296314i
$787$	−9.47154	+	5.46839i	−0.337624	+	0.194927i	−0.659221	−	0.751949i	$-0.729114\pi$
$787$	−9.47154	+	5.46839i	−0.337624	+	0.194927i	0.321597	+	0.946877i	$0.395780\pi$
$788$	32.1845	+	38.8679i	1.14652	+	1.38461i
$789$	50.4800	+	6.70867i	1.79714	+	0.238835i
$790$	3.57758	−	19.9096i	0.127284	−	0.708351i
$791$	−1.62462	−	1.99106i	−0.0577648	−	0.0707938i
$792$	−7.61240	+	7.42845i	−0.270495	+	0.263958i
$793$	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	$0.735770\pi$
$798$	−11.4930	+	4.51702i	−0.406846	+	0.159901i
$799$	1.29293	−	0.746475i	0.0457407	−	0.0264084i
$800$	3.41922	+	21.4286i	0.120888	+	0.757617i
$801$	4.80034	−	1.27366i	0.169612	−	0.0450027i
$802$	−5.99296	−	16.6341i	−0.211619	−	0.587370i
$803$	5.25072	−	9.09451i	0.185294	−	0.320938i
$804$	−8.72118	+	16.4411i	−0.307572	+	0.579832i
$805$	8.25851	−	21.7556i	0.291074	−	0.766783i
$806$	20.8168	+	57.7793i	0.733241	+	2.03519i
$807$	−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	$0.836874\pi$
$810$	2.49474	−	13.5035i	0.0876561	−	0.474464i
$811$			18.8050i			0.660334i	0.943923	+	0.330167i	$0.107105\pi$
$811$			18.8050i			0.660334i	−0.943923	+	0.330167i	$0.892895\pi$
$812$	−10.9698	+	12.5480i	−0.384963	+	0.440350i
$813$	−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
$816$	3.98360	−	3.54709i	0.139454	−	0.124173i
$817$	−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	$0.657860\pi$
$822$	−9.17830	−	42.2974i	−0.320130	−	1.47529i
$823$	1.87192	−	1.08076i	0.0652512	−	0.0376728i	−0.467019	−	0.884247i	$-0.654672\pi$
$823$	1.87192	−	1.08076i	0.0652512	−	0.0376728i	0.532271	+	0.846574i	$0.321339\pi$
$824$	−15.6084	−	9.21628i	−0.543746	−	0.321064i
$825$	−8.25584	−	1.09718i	−0.287432	−	0.0381989i
$826$	−14.5679	−	26.2529i	−0.506882	−	0.913455i
$827$	28.7742			1.00058			0.500289	−	0.865859i	$-0.333227\pi$
$827$	28.7742			1.00058			0.500289	+	0.865859i	$0.333227\pi$
$828$	44.5143	−	20.2733i	1.54698	−	0.704547i
$829$	−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
$832$	−36.8948	−	0.721924i	−1.27910	−	0.0250282i
$833$	−1.70342	−	5.11293i	−0.0590202	−	0.177152i
$834$	11.3120	+	3.62251i	0.391703	+	0.125437i
$835$	19.8991	+	11.4888i	0.688637	+	0.397585i
$836$	1.66306	−	4.47813i	0.0575180	−	0.154879i
$837$	−48.5241	+	6.20721i	−1.67724	+	0.214552i
$838$	−0.377301	+	2.09972i	−0.0130336	+	0.0725336i
$839$	5.51927	+	9.55966i	0.190546	+	0.330036i	0.945431	−	0.325821i	$-0.105641\pi$
$839$	5.51927	+	9.55966i	0.190546	+	0.330036i	−0.754885	+	0.655857i	$0.772307\pi$
$840$	−7.21951	−	11.9762i	−0.249097	−	0.413219i
$841$	−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
$846$	3.51948	−	7.43644i	0.121002	−	0.255670i
$847$	23.3223	+	8.85324i	0.801363	+	0.304201i
$848$	−15.2518	+	17.7023i	−0.523749	+	0.607898i
$849$	−6.03063	+	2.48933i	−0.206971	+	0.0854335i
$850$	4.11075	+	0.738665i	0.140998	+	0.0253360i
$851$	−7.42096	−	12.8535i	−0.254387	−	0.440612i
$852$	−17.7661	+	11.1257i	−0.608656	+	0.381162i
$853$	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	$0.617653\pi$
$854$	−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
$857$		−	2.90980i		−	0.0993967i	−0.998764	−	0.0496984i	$-0.984174\pi$
$857$		−	2.90980i		−	0.0993967i	0.998764	−	0.0496984i	$-0.0158260\pi$
$858$	4.31944	−	13.4883i	0.147463	−	0.460483i
$859$			47.8708i			1.63333i	0.577113	+	0.816665i	$0.304179\pi$
$859$			47.8708i			1.63333i	−0.577113	+	0.816665i	$0.695821\pi$
$860$	−15.7548	−	5.85090i	−0.537233	−	0.199514i
$861$	−21.0440	−	34.1491i	−0.717176	−	1.16380i
$862$	2.45546	−	13.6649i	0.0836334	−	0.465429i
$863$	−6.39819	−	11.0820i	−0.217797	−	0.377235i	0.736337	−	0.676615i	$-0.236554\pi$
$863$	−6.39819	−	11.0820i	−0.217797	−	0.377235i	−0.954134	+	0.299379i	$0.903220\pi$
$864$	6.93390	−	28.5643i	0.235896	−	0.971778i
$865$	−4.52102	+	7.83064i	−0.153719	+	0.266250i
$866$	1.07332	−	0.386697i	0.0364728	−	0.0131405i
$867$	10.8431	+	26.2683i	0.368249	+	0.892118i
$868$	−32.7883	+	37.5058i	−1.11291	+	1.27303i
$869$	14.3922	+	8.30932i	0.488221	+	0.281874i
$870$	5.59600	+	6.16222i	0.189722	+	0.208919i
$871$		−	24.7820i		−	0.839705i
$872$	16.0691	+	28.4722i	0.544169	+	0.964189i
$873$	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
$876$	1.04129	+	29.0025i	0.0351821	+	0.979905i
$877$	2.41416			0.0815203			0.0407602	−	0.999169i	$-0.487022\pi$
$877$	2.41416			0.0815203			0.0407602	+	0.999169i	$0.487022\pi$
$878$	−4.22734	−	0.759616i	−0.142666	−	0.0256358i
$879$	−28.5587	−	21.9695i	−0.963262	−	0.741012i
$880$	5.31464	+	1.00876i	0.179156	+	0.0340052i
$881$		−	43.3258i		−	1.45968i	−0.683616	−	0.729842i	$-0.739594\pi$
$881$		−	43.3258i		−	1.45968i	0.683616	−	0.729842i	$-0.260406\pi$
$882$	−23.7491	−	17.8320i	−0.799674	−	0.600434i
$883$			20.5807i			0.692597i	0.938124	+	0.346298i	$0.112561\pi$
$883$			20.5807i			0.692597i	−0.938124	+	0.346298i	$0.887439\pi$
$884$	−2.47270	+	6.65825i	−0.0831658	+	0.223941i
$885$	−13.8604	+	5.72130i	−0.465912	+	0.192320i
$886$	3.78803	−	21.0808i	0.127261	−	0.708223i
$887$	6.40252			0.214976			0.107488	−	0.994206i	$-0.465719\pi$
$887$	6.40252			0.214976			0.107488	+	0.994206i	$0.465719\pi$
$888$	−8.82939	−	1.26142i	−0.296295	−	0.0423304i
$889$	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
$892$	13.5865	−	36.5845i	0.454909	−	1.22494i
$893$			3.69501i			0.123649i
$894$	−9.98996	−	46.0378i	−0.334114	−	1.53974i
$895$	−4.69682	−	2.71171i	−0.156997	−	0.0906425i
$896$	−14.0091	−	26.4527i	−0.468010	−	0.883723i
$897$	−39.7132	+	51.6243i	−1.32599	+	1.72369i
$898$	7.20386	+	19.9951i	0.240396	+	0.667244i
$899$	14.8268	−	25.6808i	0.494503	−	0.856504i
$900$	20.9460	−	9.53952i	0.698200	−	0.317984i
$901$	2.24869	+	3.89484i	0.0749146	+	0.129756i
$902$	15.2724	+	2.74432i	0.508516	+	0.0913758i
$903$	−35.6773	+	1.02330i	−1.18727	+	0.0340533i
$904$	−2.39246	+	1.35026i	−0.0795721	+	0.0449089i
$905$			5.40973i			0.179825i
$906$	2.85171	+	13.1418i	0.0947416	+	0.436608i
$907$		−	31.5918i		−	1.04899i	−0.851414	−	0.524494i	$-0.824254\pi$
$907$		−	31.5918i		−	1.04899i	0.851414	−	0.524494i	$-0.175746\pi$
$908$	−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	$-0.0481058\pi$
$911$	10.9840	+	19.0249i	0.363917	+	0.630323i	−0.624685	+	0.780877i	$0.714772\pi$
$912$	2.67314	+	12.9279i	0.0885165	+	0.428085i
$913$	−2.13065	−	3.69040i	−0.0705143	−	0.122134i
$914$	1.03406	−	5.75463i	0.0342035	−	0.190346i
$915$	16.7111	+	12.8554i	0.552452	+	0.424986i
$916$	17.2660	−	14.2970i	0.570483	−	0.472387i
$917$	39.5592	+	15.0168i	1.30636	+	0.495899i
$918$	−4.75030	−	3.07277i	−0.156783	−	0.101417i
$919$	−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	$0.486184\pi$
$920$	−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
$924$	11.2670	−	2.24508i	0.370657	−	0.0738577i
$925$	−3.49190	−	6.04815i	−0.114813	−	0.198862i
$926$	−9.40192	−	1.68944i	−0.308966	−	0.0555185i
$927$	−5.02145	+	18.5585i	−0.164926	+	0.609542i
$928$	11.2290	+	13.8341i	0.368610	+	0.454127i
$929$	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	$0.594447\pi$
$930$	16.7263	+	18.4187i	0.548478	+	0.603974i
$931$	13.0670	+	2.67608i	0.428252	+	0.0877049i
$932$	15.8541	−	42.6905i	0.519319	−	1.39838i
$933$	−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
$936$	9.66716	+	37.9277i	0.315981	+	1.23971i
$937$	5.33478			0.174280			0.0871399	−	0.996196i	$-0.472227\pi$
$937$	5.33478			0.174280			0.0871399	+	0.996196i	$0.472227\pi$
$938$	17.5773	−	9.75374i	0.573918	−	0.318471i
$939$	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	$0.574416\pi$
$942$	−8.37525	−	9.22267i	−0.272880	−	0.300491i
$943$	−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	−0.904837	−	0.425757i	$-0.860008\pi$
$947$	−2.57580	+	4.46141i	−0.0837022	+	0.144976i	0.821135	+	0.570734i	$0.193341\pi$
$948$	−45.8969	+	1.64786i	−1.49066	+	0.0535200i
$949$	−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
$952$	−5.69575	+	0.866743i	−0.184600	+	0.0280913i
$953$			40.5840i			1.31464i	0.753610	+	0.657322i	$0.228311\pi$
$953$			40.5840i			1.31464i	−0.753610	+	0.657322i	$0.771689\pi$
$954$	22.4016	+	10.6021i	0.725278	+	0.343256i
$955$	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
$958$	−25.4278	+	9.16116i	−0.821534	+	0.295984i
$959$	−16.5912	+	43.7065i	−0.535758	+	1.41136i
$960$	−13.9275	+	5.43259i	−0.449507	+	0.175336i
$961$	28.8171	−	49.9126i	0.929583	−	1.61008i
$962$	11.1734	−	4.02556i	0.360244	−	0.129789i
$963$	1.09536	+	4.12833i	0.0352976	+	0.133034i
$964$	−36.6855	+	30.3773i	−1.18156	+	0.978387i
$965$	−25.7907	+	14.8902i	−0.830231	+	0.479334i
$966$	−52.2463	−	7.84921i	−1.68100	−	0.252544i
$967$	−19.3160	−	11.1521i	−0.621159	−	0.358626i	0.156161	−	0.987732i	$-0.450088\pi$
$967$	−19.3160	−	11.1521i	−0.621159	−	0.358626i	−0.777320	+	0.629105i	$0.783421\pi$
$968$	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	$0.000361040\pi$
$971$	15.6110	+	27.0391i	0.500982	+	0.867726i	−0.499017	+	0.866592i	$0.666306\pi$
$972$	−31.1619	+	0.966140i	−0.999520	+	0.0309890i
$973$	−8.11094	−	9.94038i	−0.260025	−	0.318674i
$974$	20.6497	+	3.71057i	0.661660	+	0.118894i
$975$	−18.6869	+	24.2916i	−0.598458	+	0.777953i
$976$	34.1907	+	29.4578i	1.09442	+	0.942920i
$977$	−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	$0.340588\pi$
$978$	−3.83256	+	3.48040i	−0.122552	+	0.111291i
$979$	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
$983$	−36.6451			−1.16880			−0.584399	−	0.811466i	$-0.698670\pi$
$983$	−36.6451			−1.16880			−0.584399	+	0.811466i	$0.698670\pi$
$984$	−39.7961	+	15.9732i	−1.26865	+	0.509208i
$985$	−27.2221			−0.867370
$986$	3.22641	−	1.16242i	0.102750	−	0.0370189i
$987$	−7.56532	+	4.66203i	−0.240807	+	0.148394i
$988$	−11.2113	−	13.5395i	−0.356679	−	0.430747i
$989$	−54.9882	+	31.7475i	−1.74852	+	1.00951i
$990$	−0.467438	−	5.71860i	−0.0148561	−	0.181749i
$991$	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	$0.470471\pi$
$992$	33.5632	+	41.3498i	1.06563	+	1.31286i
$993$	20.3813	+	15.6788i	0.646782	+	0.497552i
$994$	22.6385	+	0.384807i	0.718051	+	0.0122053i
$995$	4.71755	−	8.17104i	0.149556	−	0.259039i
$996$	10.4033	+	5.51844i	0.329641	+	0.174858i
$997$	11.1462			0.353003			0.176501	−	0.984300i	$-0.443522\pi$
$997$	11.1462			0.353003			0.176501	+	0.984300i	$0.443522\pi$
$998$	−6.11430	−	16.9709i	−0.193545	−	0.537204i
$999$	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.95.5	✓	88
3.2	odd	2		756.2.o.a.179.40		88
4.3	odd	2	inner	252.2.o.a.95.20	yes	88
7.2	even	3		252.2.bb.a.23.35	yes	88
9.2	odd	6		252.2.bb.a.11.10	yes	88
9.7	even	3		756.2.bb.a.683.35		88
12.11	even	2		756.2.o.a.179.25		88
21.2	odd	6		756.2.bb.a.611.10		88
28.23	odd	6		252.2.bb.a.23.10	yes	88
36.7	odd	6		756.2.bb.a.683.10		88
36.11	even	6		252.2.bb.a.11.35	yes	88
63.2	odd	6	inner	252.2.o.a.191.20	yes	88
63.16	even	3		756.2.o.a.359.25		88
84.23	even	6		756.2.bb.a.611.35		88
252.79	odd	6		756.2.o.a.359.40		88
252.191	even	6	inner	252.2.o.a.191.5	yes	88

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

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)

\(f(q)\)	\(=\)	\(q+(-1.33050 + 0.479354i) q^{2} +(-1.71695 - 0.228179i) q^{3} +(1.54044 - 1.27556i) q^{4} +1.07889i q^{5} +(2.39378 - 0.519437i) q^{6} +(-2.47353 - 0.938963i) q^{7} +(-1.43811 + 2.43554i) q^{8} +(2.89587 + 0.783546i) q^{9} +O(q^{10})\)	\(q+(-1.33050 + 0.479354i) q^{2} +(-1.71695 - 0.228179i) q^{3} +(1.54044 - 1.27556i) q^{4} +1.07889i q^{5} +(2.39378 - 0.519437i) q^{6} +(-2.47353 - 0.938963i) q^{7} +(-1.43811 + 2.43554i) q^{8} +(2.89587 + 0.783546i) q^{9} +(-0.517168 - 1.43545i) q^{10} +1.25350 q^{11} +(-2.93592 + 1.83858i) q^{12} +(2.30636 - 3.99474i) q^{13} +(3.74112 + 0.0635910i) q^{14} +(0.246179 - 1.85240i) q^{15} +(0.745912 - 3.92984i) q^{16} +(-0.666743 - 0.384944i) q^{17} +(-4.22854 + 0.345640i) q^{18} +(1.65017 - 0.952727i) q^{19} +(1.37618 + 1.66196i) q^{20} +(4.03269 + 2.17656i) q^{21} +(-1.66777 + 0.600869i) q^{22} +8.15225 q^{23} +(3.02490 - 3.85356i) q^{24} +3.83600 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} +(0.560414 + 2.58262i) q^{30} +(8.15326 - 4.70729i) q^{31} +(0.891349 + 5.58619i) q^{32} +(-2.15220 - 0.286022i) q^{33} +(1.07162 + 0.192561i) q^{34} +(1.01303 - 2.66866i) q^{35} +(5.46037 - 2.48684i) 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} +(-6.40882 - 0.962827i) q^{42} +(-6.74516 + 3.89432i) q^{43} +(1.93094 - 1.59891i) q^{44} +(-0.845357 + 3.12431i) q^{45} +(-10.8465 + 3.90781i) q^{46} +(-0.969589 + 1.67938i) q^{47} +(-2.17740 + 6.57715i) q^{48} +(5.23670 + 4.64510i) q^{49} +(-5.10379 + 1.83880i) q^{50} +(1.05693 + 0.813068i) q^{51} +(-1.54270 - 9.09556i) q^{52} +(-5.05897 - 2.92080i) q^{53} +(7.33908 + 0.371415i) q^{54} +1.35238i q^{55} +(5.84408 - 4.67405i) q^{56} +(-3.05066 + 1.25925i) q^{57} +(-2.87437 + 3.40294i) q^{58} +(-4.01212 - 6.94920i) q^{59} +(-1.98362 - 3.16753i) 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} +(3.00060 - 0.651113i) q^{66} +(4.65274 - 2.68626i) q^{67} +(-1.51810 + 0.257485i) q^{68} +(-13.9971 - 1.86017i) q^{69} +(-0.0686075 + 4.03624i) q^{70} +6.05128 q^{71} +(-6.07293 + 5.92618i) q^{72} +(4.18885 - 7.25531i) q^{73} +(1.96693 + 1.66141i) q^{74} +(-6.58625 - 0.875295i) q^{75} +(1.32673 - 3.57251i) q^{76} +(-3.10056 - 1.17699i) q^{77} +(3.44591 - 10.7605i) q^{78} +(11.4816 + 6.62891i) q^{79} +(4.23985 + 0.804754i) q^{80} +(7.77211 + 4.53809i) q^{81} +(12.1838 + 2.18933i) q^{82} +(-1.69976 - 2.94408i) q^{83} +(8.98844 - 1.79105i) 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} +(-0.372907 - 4.56211i) q^{90} +(-9.45577 + 7.71552i) q^{91} +(12.5581 - 10.3987i) q^{92} +(-15.0729 + 6.22180i) q^{93} +(0.485019 - 2.69918i) q^{94} +(1.02788 + 1.78035i) q^{95} +(-0.255755 - 9.79462i) q^{96} +(0.231659 + 0.401245i) q^{97} +(-9.19405 - 3.67006i) q^{98} +(3.62996 + 0.982173i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9}+O(q^{10}) \) 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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