LMFDB - Embedded newform 165.2.p.a.116.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [165,2,Mod(41,165)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(165, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 0, 3]))

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

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

chi := DirichletCharacter("165.41");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 165 = 3 \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	165.p (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.31753163335$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{10})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - x^{14} + 15x^{12} - 59x^{10} + 104x^{8} - 59x^{6} + 15x^{4} - x^{2} + 1 $ x^16 - x^14 + 15x^12 - 59x^10 + 104x^8 - 59x^6 + 15*x^4 - x^2 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 5^{2} $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			116.4
Root			$1.28932 - 0.418926i$ of defining polynomial
Character	$\chi$	$=$	165.116
Dual form			165.2.p.a.101.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.796845 + 2.45244i) q^{2} +(1.45106 - 0.945746i) q^{3} +(-3.76145 + 2.73286i) q^{4} +(-0.951057 - 0.309017i) q^{5} +(3.47565 + 2.80501i) q^{6} +(2.05478 + 2.82816i) q^{7} +(-5.52712 - 4.01569i) q^{8} +(1.21113 - 2.74466i) q^{9} +O(q^{10})$	\(q+(0.796845 + 2.45244i) q^{2} +(1.45106 - 0.945746i) q^{3} +(-3.76145 + 2.73286i) q^{4} +(-0.951057 - 0.309017i) q^{5} +(3.47565 + 2.80501i) q^{6} +(2.05478 + 2.82816i) q^{7} +(-5.52712 - 4.01569i) q^{8} +(1.21113 - 2.74466i) q^{9} -2.57865i q^{10} +(-3.28018 + 0.490303i) q^{11} +(-2.87350 + 7.52291i) q^{12} +(1.33440 - 0.433574i) q^{13} +(-5.29855 + 7.29283i) q^{14} +(-1.67229 + 0.451057i) q^{15} +(2.57047 - 7.91110i) q^{16} +(2.35413 - 7.24527i) q^{17} +(7.69619 + 0.783151i) q^{18} +(1.49401 - 2.05632i) q^{19} +(4.42186 - 1.43675i) q^{20} +(5.65633 + 2.16053i) q^{21} +(-3.81624 - 7.65375i) q^{22} +0.0193938i q^{23} +(-11.8180 - 0.599740i) q^{24} +(0.809017 + 0.587785i) q^{25} +(2.12663 + 2.92705i) q^{26} +(-0.838333 - 5.12808i) q^{27} +(-15.4579 - 5.02259i) q^{28} +(-1.69305 + 1.23007i) q^{29} +(-2.43874 - 3.74176i) q^{30} +(-0.712666 - 2.19336i) q^{31} +7.78595 q^{32} +(-4.29603 + 3.81368i) q^{33} +19.6445 q^{34} +(-1.08026 - 3.32471i) q^{35} +(2.94515 + 13.6338i) q^{36} +(-5.92057 + 4.30154i) q^{37} +(6.23350 + 2.02539i) q^{38} +(1.52624 - 1.89115i) q^{39} +(4.01569 + 5.52712i) q^{40} +(1.92413 + 1.39796i) q^{41} +(-0.791335 + 15.5934i) q^{42} +1.48399i q^{43} +(10.9983 - 10.8085i) q^{44} +(-2.00000 + 2.23607i) q^{45} +(-0.0475622 + 0.0154539i) q^{46} +(-4.14434 + 5.70420i) q^{47} +(-3.75199 - 13.9105i) q^{48} +(-1.61327 + 4.96513i) q^{49} +(-0.796845 + 2.45244i) q^{50} +(-3.43621 - 12.7397i) q^{51} +(-3.83440 + 5.27760i) q^{52} +(-4.30154 + 1.39766i) q^{53} +(11.9083 - 6.14225i) q^{54} +(3.27115 + 0.547326i) q^{55} -23.8830i q^{56} +(0.223129 - 4.39679i) q^{57} +(-4.36578 - 3.17193i) q^{58} +(5.94225 + 8.17881i) q^{59} +(5.05756 - 6.26675i) q^{60} +(2.32792 + 0.756387i) q^{61} +(4.81120 - 3.49554i) q^{62} +(10.2510 - 2.21440i) q^{63} +(1.06325 + 3.27235i) q^{64} -1.40308 q^{65} +(-12.7761 - 7.49683i) q^{66} -6.98061 q^{67} +(10.9453 + 33.6863i) q^{68} +(0.0183416 + 0.0281415i) q^{69} +(7.29283 - 5.29855i) q^{70} +(5.33073 + 1.73206i) q^{71} +(-17.7158 + 10.3066i) q^{72} +(-5.35781 - 7.37439i) q^{73} +(-15.2670 - 11.0922i) q^{74} +(1.72982 + 0.0877853i) q^{75} +11.8177i q^{76} +(-8.12672 - 8.26943i) q^{77} +(5.85410 + 2.23607i) q^{78} +(-2.17159 + 0.705592i) q^{79} +(-4.88933 + 6.72958i) q^{80} +(-6.06633 - 6.64828i) q^{81} +(-1.89518 + 5.83276i) q^{82} +(-1.89806 + 5.84162i) q^{83} +(-27.1804 + 7.33122i) q^{84} +(-4.47782 + 6.16320i) q^{85} +(-3.63940 + 1.18251i) q^{86} +(-1.29338 + 3.38611i) q^{87} +(20.0989 + 10.4622i) q^{88} +12.7823i q^{89} +(-7.07751 - 3.12308i) q^{90} +(3.96813 + 2.88301i) q^{91} +(-0.0530006 - 0.0729490i) q^{92} +(-3.10848 - 2.50869i) q^{93} +(-17.2916 - 5.61838i) q^{94} +(-2.05632 + 1.49401i) q^{95} +(11.2978 - 7.36353i) q^{96} +(-4.05448 - 12.4784i) q^{97} -13.4622 q^{98} +(-2.62701 + 9.59681i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q + 8 q^{3} - 12 q^{4} + 10 q^{6} - 10 q^{7} - 20 q^{9}+O(q^{10}) $ 16 * q + 8 * q^3 - 12 * q^4 + 10 * q^6 - 10 * q^7 - 20 * q^9	$ 16 q + 8 q^{3} - 12 q^{4} + 10 q^{6} - 10 q^{7} - 20 q^{9} + 4 q^{12} - 12 q^{15} - 16 q^{16} + 20 q^{18} + 40 q^{19} + 30 q^{22} - 70 q^{24} + 4 q^{25} - 4 q^{27} - 110 q^{28} - 10 q^{30} + 10 q^{31} + 12 q^{33} + 100 q^{34} + 40 q^{36} - 2 q^{37} - 10 q^{39} + 50 q^{40} - 10 q^{42} - 32 q^{45} - 40 q^{46} + 22 q^{48} + 42 q^{49} - 40 q^{52} + 6 q^{55} + 40 q^{57} - 20 q^{58} + 14 q^{60} - 50 q^{61} + 70 q^{63} + 42 q^{64} + 30 q^{66} - 108 q^{67} - 12 q^{69} + 40 q^{70} - 40 q^{72} - 50 q^{73} + 12 q^{75} + 40 q^{78} - 40 q^{79} - 4 q^{81} + 50 q^{82} - 150 q^{84} - 20 q^{85} + 70 q^{88} - 20 q^{90} + 10 q^{91} - 50 q^{94} + 40 q^{96} - 58 q^{97} + 12 q^{99}+O(q^{100}) $ 16 * q + 8 * q^3 - 12 * q^4 + 10 * q^6 - 10 * q^7 - 20 * q^9 + 4 * q^12 - 12 * q^15 - 16 * q^16 + 20 * q^18 + 40 * q^19 + 30 * q^22 - 70 * q^24 + 4 * q^25 - 4 * q^27 - 110 * q^28 - 10 * q^30 + 10 * q^31 + 12 * q^33 + 100 * q^34 + 40 * q^36 - 2 * q^37 - 10 * q^39 + 50 * q^40 - 10 * q^42 - 32 * q^45 - 40 * q^46 + 22 * q^48 + 42 * q^49 - 40 * q^52 + 6 * q^55 + 40 * q^57 - 20 * q^58 + 14 * q^60 - 50 * q^61 + 70 * q^63 + 42 * q^64 + 30 * q^66 - 108 * q^67 - 12 * q^69 + 40 * q^70 - 40 * q^72 - 50 * q^73 + 12 * q^75 + 40 * q^78 - 40 * q^79 - 4 * q^81 + 50 * q^82 - 150 * q^84 - 20 * q^85 + 70 * q^88 - 20 * q^90 + 10 * q^91 - 50 * q^94 + 40 * q^96 - 58 * q^97 + 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/165\mathbb{Z}\right)^\times$.

$n$	$46$	$56$	$67$
$\chi(n)$	$e\left(\frac{9}{10}\right)$	$-1$	$1$

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 $

$2$	0.796845	+	2.45244i	0.563455	+	1.73414i	0.672499	+	0.740098i	$0.265221\pi$
$2$	0.796845	+	2.45244i	0.563455	+	1.73414i	−0.109044	+	0.994037i	$0.534779\pi$
$3$	1.45106	−	0.945746i	0.837768	−	0.546027i
$3$	1.45106	−	0.945746i	0.837768	−	0.546027i
$4$	−3.76145	+	2.73286i	−1.88073	+	1.36643i
$5$	−0.951057	−	0.309017i	−0.425325	−	0.138197i
$5$	−0.951057	−	0.309017i	−0.425325	−	0.138197i
$6$	3.47565	+	2.80501i	1.41893	+	1.14514i
$7$	2.05478	+	2.82816i	0.776635	+	1.06895i	0.995645	+	0.0932233i	$0.0297170\pi$
$7$	2.05478	+	2.82816i	0.776635	+	1.06895i	−0.219011	+	0.975722i	$0.570283\pi$
$8$	−5.52712	−	4.01569i	−1.95413	−	1.41976i
$9$	1.21113	−	2.74466i	0.403710	−	0.914887i
$10$		−	2.57865i		−	0.815439i
$11$	−3.28018	+	0.490303i	−0.989012	+	0.147832i
$11$	−3.28018	+	0.490303i	−0.989012	+	0.147832i
$12$	−2.87350	+	7.52291i	−0.829507	+	2.17168i
$13$	1.33440	−	0.433574i	0.370097	−	0.120252i	−0.118063	−	0.993006i	$-0.537668\pi$
$13$	1.33440	−	0.433574i	0.370097	−	0.120252i	0.488160	+	0.872754i	$0.337668\pi$
$14$	−5.29855	+	7.29283i	−1.41610	+	1.94909i
$15$	−1.67229	+	0.451057i	−0.431783	+	0.116462i
$16$	2.57047	−	7.91110i	0.642618	−	1.97777i
$17$	2.35413	−	7.24527i	0.570961	−	1.75724i	−0.0785777	−	0.996908i	$-0.525038\pi$
$17$	2.35413	−	7.24527i	0.570961	−	1.75724i	0.649538	−	0.760329i	$-0.274962\pi$
$18$	7.69619	+	0.783151i	1.81401	+	0.184590i
$19$	1.49401	−	2.05632i	0.342749	−	0.471753i	−0.602493	−	0.798124i	$-0.705826\pi$
$19$	1.49401	−	2.05632i	0.342749	−	0.471753i	0.945242	+	0.326371i	$0.105826\pi$
$20$	4.42186	−	1.43675i	0.988757	−	0.321267i
$21$	5.65633	+	2.16053i	1.23431	+	0.471465i
$22$	−3.81624	−	7.65375i	−0.813624	−	1.63178i
$23$			0.0193938i			0.00404389i	0.999998	+	0.00202195i	$0.000643606\pi$
$23$			0.0193938i			0.00404389i	−0.999998	+	0.00202195i	$0.999356\pi$
$24$	−11.8180	−	0.599740i	−2.41234	−	0.122421i
$25$	0.809017	+	0.587785i	0.161803	+	0.117557i
$26$	2.12663	+	2.92705i	0.417066	+	0.574042i
$27$	−0.838333	−	5.12808i	−0.161337	−	0.986899i
$28$	−15.4579	−	5.02259i	−2.92128	−	0.949180i
$29$	−1.69305	+	1.23007i	−0.314392	+	0.228419i	−0.733779	−	0.679388i	$-0.762245\pi$
$29$	−1.69305	+	1.23007i	−0.314392	+	0.228419i	0.419387	+	0.907808i	$0.362245\pi$
$30$	−2.43874	−	3.74176i	−0.445252	−	0.683149i
$31$	−0.712666	−	2.19336i	−0.127999	−	0.393939i	0.866437	−	0.499287i	$-0.166405\pi$
$31$	−0.712666	−	2.19336i	−0.127999	−	0.393939i	−0.994435	+	0.105347i	$0.966405\pi$
$32$	7.78595			1.37637
$33$	−4.29603	+	3.81368i	−0.747843	+	0.663876i
$34$	19.6445			3.36900
$35$	−1.08026	−	3.32471i	−0.182598	−	0.561978i
$36$	2.94515	+	13.6338i	0.490859	+	2.27229i
$37$	−5.92057	+	4.30154i	−0.973335	+	0.707169i	−0.956209	−	0.292684i	$-0.905452\pi$
$37$	−5.92057	+	4.30154i	−0.973335	+	0.707169i	−0.0171258	+	0.999853i	$0.505452\pi$
$38$	6.23350	+	2.02539i	1.01121	+	0.328561i
$39$	1.52624	−	1.89115i	0.244395	−	0.302826i
$40$	4.01569	+	5.52712i	0.634936	+	0.873915i
$41$	1.92413	+	1.39796i	0.300498	+	0.218325i	0.727809	−	0.685780i	$-0.240539\pi$
$41$	1.92413	+	1.39796i	0.300498	+	0.218325i	−0.427311	+	0.904105i	$0.640539\pi$
$42$	−0.791335	+	15.5934i	−0.122106	+	2.40611i
$43$			1.48399i			0.226307i	0.993578	+	0.113153i	$0.0360951\pi$
$43$			1.48399i			0.226307i	−0.993578	+	0.113153i	$0.963905\pi$
$44$	10.9983	−	10.8085i	1.65806	−	1.62945i
$45$	−2.00000	+	2.23607i	−0.298142	+	0.333333i
$46$	−0.0475622	+	0.0154539i	−0.00701266	+	0.00227855i
$47$	−4.14434	+	5.70420i	−0.604514	+	0.832042i	−0.996112	−	0.0880940i	$-0.971922\pi$
$47$	−4.14434	+	5.70420i	−0.604514	+	0.832042i	0.391598	+	0.920136i	$0.371922\pi$
$48$	−3.75199	−	13.9105i	−0.541553	−	2.00780i
$49$	−1.61327	+	4.96513i	−0.230467	+	0.709304i
$50$	−0.796845	+	2.45244i	−0.112691	+	0.346827i
$51$	−3.43621	−	12.7397i	−0.481165	−	1.78392i
$52$	−3.83440	+	5.27760i	−0.531736	+	0.731872i
$53$	−4.30154	+	1.39766i	−0.590862	+	0.191983i	−0.589161	−	0.808016i	$-0.700542\pi$
$53$	−4.30154	+	1.39766i	−0.590862	+	0.191983i	−0.00170144	+	0.999999i	$0.500542\pi$
$54$	11.9083	−	6.14225i	1.62051	−	0.835854i
$55$	3.27115	+	0.547326i	0.441082	+	0.0738015i
$56$		−	23.8830i		−	3.19150i
$57$	0.223129	−	4.39679i	0.0295541	−	0.582370i
$58$	−4.36578	−	3.17193i	−0.573255	−	0.416494i
$59$	5.94225	+	8.17881i	0.773615	+	1.06479i	0.995958	+	0.0898216i	$0.0286297\pi$
$59$	5.94225	+	8.17881i	0.773615	+	1.06479i	−0.222342	+	0.974969i	$0.571370\pi$
$60$	5.05756	−	6.26675i	0.652929	−	0.809034i
$61$	2.32792	+	0.756387i	0.298059	+	0.0968454i	0.454229	−	0.890885i	$-0.349915\pi$
$61$	2.32792	+	0.756387i	0.298059	+	0.0968454i	−0.156170	+	0.987730i	$0.549915\pi$
$62$	4.81120	−	3.49554i	0.611022	−	0.443934i
$63$	10.2510	−	2.21440i	1.29150	−	0.278989i
$64$	1.06325	+	3.27235i	0.132907	+	0.409044i
$65$	−1.40308			−0.174030
$66$	−12.7761	−	7.49683i	−1.57263	−	0.922797i
$67$	−6.98061			−0.852817			−0.426408	−	0.904531i	$-0.640221\pi$
$67$	−6.98061			−0.852817			−0.426408	+	0.904531i	$0.640221\pi$
$68$	10.9453	+	33.6863i	1.32732	+	4.08506i
$69$	0.0183416	+	0.0281415i	0.00220807	+	0.00338784i
$70$	7.29283	−	5.29855i	0.871660	−	0.633298i
$71$	5.33073	+	1.73206i	0.632641	+	0.205558i	0.607745	−	0.794132i	$-0.292074\pi$
$71$	5.33073	+	1.73206i	0.632641	+	0.205558i	0.0248966	+	0.999690i	$0.492074\pi$
$72$	−17.7158	+	10.3066i	−2.08782	+	1.21464i
$73$	−5.35781	−	7.37439i	−0.627084	−	0.863107i	0.370761	−	0.928728i	$-0.379097\pi$
$73$	−5.35781	−	7.37439i	−0.627084	−	0.863107i	−0.997845	+	0.0656217i	$0.979097\pi$
$74$	−15.2670	−	11.0922i	−1.77476	−	1.28944i
$75$	1.72982	+	0.0877853i	0.199743	+	0.0101366i
$76$			11.8177i			1.35558i
$77$	−8.12672	−	8.26943i	−0.926126	−	0.942389i
$78$	5.85410	+	2.23607i	0.662847	+	0.253185i
$79$	−2.17159	+	0.705592i	−0.244323	+	0.0793853i	−0.428619	−	0.903486i	$-0.641000\pi$
$79$	−2.17159	+	0.705592i	−0.244323	+	0.0793853i	0.184296	+	0.982871i	$0.441000\pi$
$80$	−4.88933	+	6.72958i	−0.546643	+	0.752390i
$81$	−6.06633	−	6.64828i	−0.674036	−	0.738698i
$82$	−1.89518	+	5.83276i	−0.209287	+	0.644121i
$83$	−1.89806	+	5.84162i	−0.208339	+	0.641201i	0.791221	+	0.611531i	$0.209446\pi$
$83$	−1.89806	+	5.84162i	−0.208339	+	0.641201i	−0.999560	+	0.0296708i	$0.990554\pi$
$84$	−27.1804	+	7.33122i	−2.96563	+	0.799902i
$85$	−4.47782	+	6.16320i	−0.485688	+	0.668493i
$86$	−3.63940	+	1.18251i	−0.392447	+	0.127514i
$87$	−1.29338	+	3.38611i	−0.138665	+	0.363029i
$88$	20.0989	+	10.4622i	2.14255	+	1.11528i
$89$			12.7823i			1.35493i	0.735557	+	0.677463i	$0.236920\pi$
$89$			12.7823i			1.35493i	−0.735557	+	0.677463i	$0.763080\pi$
$90$	−7.07751	−	3.12308i	−0.746035	−	0.329201i
$91$	3.96813	+	2.88301i	0.415973	+	0.302222i
$92$	−0.0530006	−	0.0729490i	−0.00552569	−	0.00760546i
$93$	−3.10848	−	2.50869i	−0.322334	−	0.260139i
$94$	−17.2916	−	5.61838i	−1.78349	−	0.579491i
$95$	−2.05632	+	1.49401i	−0.210974	+	0.153282i
$96$	11.2978	−	7.36353i	1.15308	−	0.751537i
$97$	−4.05448	−	12.4784i	−0.411670	−	1.26699i	−0.915196	−	0.403009i	$-0.867964\pi$
$97$	−4.05448	−	12.4784i	−0.411670	−	1.26699i	0.503526	−	0.863980i	$-0.332036\pi$
$98$	−13.4622			−1.35989
$99$	−2.62701	+	9.59681i	−0.264025	+	0.964516i
$100$	−4.64941			−0.464941
$101$	−2.14692	−	6.60754i	−0.213627	−	0.657475i	−0.999248	−	0.0387677i	$-0.987657\pi$
$101$	−2.14692	−	6.60754i	−0.213627	−	0.657475i	0.785622	−	0.618707i	$-0.212343\pi$
$102$	28.5052	−	18.5787i	2.82244	−	1.83956i
$103$	9.74848	−	7.08269i	0.960547	−	0.697878i	0.00726903	−	0.999974i	$-0.497686\pi$
$103$	9.74848	−	7.08269i	0.960547	−	0.697878i	0.953278	+	0.302096i	$0.0976862\pi$
$104$	−9.11651	−	2.96213i	−0.893948	−	0.290461i
$105$	−4.71185	−	3.80268i	−0.459829	−	0.371104i
$106$	−6.85533	−	9.43555i	−0.665848	−	0.916462i
$107$	−4.76590	−	3.46263i	−0.460737	−	0.334745i	0.333084	−	0.942897i	$-0.391911\pi$
$107$	−4.76590	−	3.46263i	−0.460737	−	0.334745i	−0.793820	+	0.608153i	$0.791911\pi$
$108$	17.1677	+	16.9980i	1.65196	+	1.63563i
$109$			8.48528i			0.812742i	0.913708	+	0.406371i	$0.133206\pi$
$109$			8.48528i			0.812742i	−0.913708	+	0.406371i	$0.866794\pi$
$110$	1.26432	+	8.45843i	0.120548	+	0.806480i
$111$	−4.52291	+	11.8411i	−0.429296	+	1.12391i
$112$	27.6556	−	8.98587i	2.61321	−	0.849084i
$113$	4.13294	−	5.68851i	0.388794	−	0.535130i	−0.569093	−	0.822273i	$-0.692706\pi$
$113$	4.13294	−	5.68851i	0.388794	−	0.535130i	0.957888	+	0.287143i	$0.0927056\pi$
$114$	10.9607	−	2.95636i	1.02656	−	0.276888i
$115$	0.00599302	−	0.0184446i	0.000558852	−	0.00171997i
$116$	3.00672	−	9.25374i	0.279167	−	0.859188i
$117$	0.426123	−	4.18760i	0.0393951	−	0.387144i
$118$	−15.3230	+	21.0903i	−1.41059	+	1.94151i
$119$	25.3281	−	8.22958i	2.32182	−	0.754405i
$120$	11.0542	+	4.22235i	1.00911	+	0.385446i
$121$	10.5192	−	3.21657i	0.956291	−	0.292415i
$122$			6.31180i			0.571443i
$123$	4.11413	+	0.208784i	0.370959	+	0.0188254i
$124$	8.67480	+	6.30261i	0.779020	+	0.565991i
$125$	−0.587785	−	0.809017i	−0.0525731	−	0.0723607i
$126$	13.5991	+	23.3753i	1.21151	+	2.08244i
$127$	13.7268	+	4.46011i	1.21806	+	0.395771i	0.846374	−	0.532589i	$-0.178781\pi$
$127$	13.7268	+	4.46011i	1.21806	+	0.395771i	0.371683	+	0.928360i	$0.378781\pi$
$128$	5.41993	−	3.93781i	0.479059	−	0.348057i
$129$	1.40348	+	2.15336i	0.123570	+	0.189593i
$130$	−1.11803	−	3.44095i	−0.0980581	−	0.301792i
$131$	−16.5346			−1.44464			−0.722320	−	0.691559i	$-0.756924\pi$
$131$	−16.5346			−1.44464			−0.722320	+	0.691559i	$0.756924\pi$
$132$	5.73709	−	26.0854i	0.499349	−	2.27044i
$133$	8.88548			0.770469
$134$	−5.56246	−	17.1195i	−0.480524	−	1.47890i
$135$	−0.787361	+	5.13615i	−0.0677653	+	0.442050i
$136$	−42.1063	+	30.5920i	−3.61059	+	2.62325i
$137$	−9.57259	−	3.11032i	−0.817841	−	0.265733i	−0.129926	−	0.991524i	$-0.541474\pi$
$137$	−9.57259	−	3.11032i	−0.817841	−	0.265733i	−0.687915	+	0.725791i	$0.741474\pi$
$138$	−0.0543999	+	0.0674062i	−0.00463083	+	0.00573799i
$139$	7.20248	+	9.91336i	0.610906	+	0.840840i	0.996652	−	0.0817651i	$-0.0260557\pi$
$139$	7.20248	+	9.91336i	0.610906	+	0.840840i	−0.385746	+	0.922605i	$0.626056\pi$
$140$	13.1493	+	9.55353i	1.11132	+	0.807421i
$141$	−0.618954	+	12.1966i	−0.0521253	+	1.02714i
$142$			14.4535i			1.21291i
$143$	−4.16451	+	2.07646i	−0.348254	+	0.173643i
$144$	−18.6001	−	16.6364i	−1.55001	−	1.38637i
$145$	1.99030	−	0.646689i	0.165286	−	0.0537046i
$146$	13.8159	−	19.0159i	1.14341	−	1.57377i
$147$	2.35481	+	8.73042i	0.194221	+	0.720073i
$148$	10.5144	−	32.3601i	0.864282	−	2.65999i
$149$	0.869654	−	2.67652i	0.0712448	−	0.219269i	−0.909094	−	0.416591i	$-0.863225\pi$
$149$	0.869654	−	2.67652i	0.0712448	−	0.219269i	0.980339	+	0.197322i	$0.0632246\pi$
$150$	1.16311	+	4.31224i	0.0949679	+	0.352093i
$151$	12.6666	−	17.4341i	1.03080	−	1.41877i	0.126448	−	0.991973i	$-0.459642\pi$
$151$	12.6666	−	17.4341i	1.03080	−	1.41877i	0.904348	−	0.426796i	$-0.140358\pi$
$152$	−16.5151	+	5.36609i	−1.33955	+	0.435247i
$153$	−17.0347	−	15.2363i	−1.37717	−	1.23178i
$154$	13.8045	−	26.5197i	1.11240	−	2.13702i
$155$			2.30624i			0.185241i
$156$	−0.572665	+	11.2845i	−0.0458499	+	0.903481i
$157$	−9.29283	−	6.75164i	−0.741649	−	0.538840i	0.151578	−	0.988445i	$-0.451564\pi$
$157$	−9.29283	−	6.75164i	−0.741649	−	0.538840i	−0.893227	+	0.449606i	$0.851564\pi$
$158$	−3.46084	−	4.76344i	−0.275330	−	0.378959i
$159$	−4.91995	+	6.09624i	−0.390178	+	0.483464i
$160$	−7.40488	−	2.40599i	−0.585407	−	0.190210i
$161$	−0.0548489	+	0.0398501i	−0.00432270	+	0.00314063i
$162$	11.4706	−	20.1749i	0.901213	−	1.58509i
$163$	5.93797	+	18.2752i	0.465098	+	1.43142i	0.858859	+	0.512212i	$0.171174\pi$
$163$	5.93797	+	18.2752i	0.465098	+	1.43142i	−0.393761	+	0.919213i	$0.628826\pi$
$164$	−11.0579			−0.863480
$165$	5.26426	−	2.29948i	0.409822	−	0.179014i
$166$	−15.8387			−1.22932
$167$	2.52265	+	7.76393i	0.195209	+	0.600791i	0.999974	+	0.00719787i	$0.00229117\pi$
$167$	2.52265	+	7.76393i	0.195209	+	0.600791i	−0.804765	+	0.593593i	$0.797709\pi$
$168$	−22.5872	−	34.6556i	−1.74264	−	2.67373i
$169$	−8.92457	+	6.48408i	−0.686506	+	0.498776i
$170$	−18.6830	−	6.07047i	−1.43292	−	0.465584i
$171$	−3.83448	−	6.59102i	−0.293230	−	0.504028i
$172$	−4.05554	−	5.58197i	−0.309232	−	0.425621i
$173$	16.0063	+	11.6292i	1.21693	+	0.884153i	0.995842	−	0.0910997i	$-0.0290382\pi$
$173$	16.0063	+	11.6292i	1.21693	+	0.884153i	0.221091	+	0.975253i	$0.429038\pi$
$174$	−9.33484	−	0.473725i	−0.707672	−	0.0359130i
$175$			3.49580i			0.264258i
$176$	−4.55278	+	27.2102i	−0.343179	+	2.05104i
$177$	16.3576	+	6.24805i	1.22951	+	0.469632i
$178$	−31.3479	+	10.1855i	−2.34962	+	0.763439i
$179$	−2.39565	+	3.29734i	−0.179060	+	0.246454i	−0.889107	−	0.457700i	$-0.848674\pi$
$179$	−2.39565	+	3.29734i	−0.179060	+	0.246454i	0.710047	+	0.704154i	$0.248674\pi$
$180$	1.41206	−	13.8766i	0.105248	−	1.03430i
$181$	−1.79654	+	5.52918i	−0.133536	+	0.410981i	−0.995359	−	0.0962274i	$-0.969322\pi$
$181$	−1.79654	+	5.52918i	−0.133536	+	0.410981i	0.861824	+	0.507208i	$0.169322\pi$
$182$	−3.90843	+	12.0289i	−0.289712	+	0.891642i
$183$	4.09329	−	1.10406i	0.302585	−	0.0816144i
$184$	0.0778796	−	0.107192i	0.00574136	−	0.00790231i
$185$	6.96004	−	2.26145i	0.511712	−	0.166265i
$186$	3.67543	−	9.62239i	0.269495	−	0.705548i
$187$	−4.16960	+	24.9201i	−0.304912	+	1.82234i
$188$		−	32.7820i		−	2.39087i
$189$	12.7805	−	12.9080i	0.929642	−	0.938921i
$190$	−5.30253	−	3.85251i	−0.384686	−	0.279491i
$191$	14.6054	+	20.1026i	1.05681	+	1.45457i	0.882754	+	0.469836i	$0.155687\pi$
$191$	14.6054	+	20.1026i	1.05681	+	1.45457i	0.174055	+	0.984736i	$0.444313\pi$
$192$	4.63765	+	3.74280i	0.334694	+	0.270114i
$193$	−6.72879	−	2.18632i	−0.484349	−	0.157374i	0.0566565	−	0.998394i	$-0.481956\pi$
$193$	−6.72879	−	2.18632i	−0.484349	−	0.157374i	−0.541005	+	0.841019i	$0.681956\pi$
$194$	27.3717	−	19.8867i	1.96517	−	1.42778i
$195$	−2.03594	+	1.32695i	−0.145797	+	0.0950250i
$196$	−7.50075	−	23.0849i	−0.535768	−	1.64892i
$197$	14.4116			1.02678			0.513391	−	0.858155i	$-0.328389\pi$
$197$	14.4116			1.02678			0.513391	+	0.858155i	$0.328389\pi$
$198$	−25.6289	+	1.20459i	−1.82137	+	0.0856065i
$199$	0.924270			0.0655197			0.0327599	−	0.999463i	$-0.489570\pi$
$199$	0.924270			0.0655197			0.0327599	+	0.999463i	$0.489570\pi$
$200$	−2.11117	−	6.49752i	−0.149282	−	0.459444i
$201$	−10.1293	+	6.60188i	−0.714462	+	0.465661i
$202$	14.4938	−	10.5304i	1.01978	−	0.740915i
$203$	−6.95771	−	2.26070i	−0.488335	−	0.158670i
$204$	47.7409	+	38.5292i	3.34253	+	2.69758i
$205$	−1.39796	−	1.92413i	−0.0976378	−	0.134387i
$206$	25.1379	+	18.2637i	1.75144	+	1.27250i
$207$	0.0532295	+	0.0234885i	0.00369971	+	0.00163256i
$208$		−	11.6711i		−	0.809245i
$209$	−3.89239	+	7.47764i	−0.269243	+	0.517239i
$210$	5.57123	−	14.5857i	0.384451	−	1.00651i
$211$	15.3004	−	4.97139i	1.05332	−	0.342244i	0.269350	−	0.963042i	$-0.413191\pi$
$211$	15.3004	−	4.97139i	1.05332	−	0.342244i	0.783971	+	0.620798i	$0.213191\pi$
$212$	12.3605	−	17.0127i	0.848920	−	1.16844i
$213$	9.37328	−	2.52820i	0.642247	−	0.173229i
$214$	4.69419	−	14.4472i	0.320889	−	0.987593i
$215$	0.458579	−	1.41136i	0.0312748	−	0.0962540i
$216$	−15.9592	+	31.7100i	−1.08589	+	2.15759i
$217$	4.73881	−	6.52241i	0.321691	−	0.442770i
$218$	−20.8096	+	6.76145i	−1.40941	+	0.457944i
$219$	−14.7488	−	5.63353i	−0.996630	−	0.380679i
$220$	−13.8001	+	6.88085i	−0.930399	+	0.463907i
$221$		−	10.6888i		−	0.719007i
$222$	−32.6437	−	1.65660i	−2.19090	−	0.111184i
$223$	−19.1178	−	13.8899i	−1.28022	−	0.930135i	−0.280662	−	0.959807i	$-0.590554\pi$
$223$	−19.1178	−	13.8899i	−1.28022	−	0.930135i	−0.999560	+	0.0296714i	$0.990554\pi$
$224$	15.9984	+	22.0199i	1.06894	+	1.47127i
$225$	2.59310	−	1.50859i	0.172873	−	0.100573i
$226$	17.2440	+	5.60292i	1.14706	+	0.372701i
$227$	9.80460	−	7.12346i	0.650754	−	0.472800i	−0.212774	−	0.977101i	$-0.568250\pi$
$227$	9.80460	−	7.12346i	0.650754	−	0.472800i	0.863528	+	0.504301i	$0.168250\pi$
$228$	11.1765	+	17.1481i	0.740183	+	1.13566i
$229$	2.42858	+	7.47441i	0.160485	+	0.493923i	0.998675	−	0.0514555i	$-0.0163860\pi$
$229$	2.42858	+	7.47441i	0.160485	+	0.493923i	−0.838190	+	0.545378i	$0.816386\pi$
$230$	0.0500098			0.00329755
$231$	−19.6131	−	4.31360i	−1.29045	−	0.283814i
$232$	14.2973			0.938664
$233$	−8.33434	−	25.6505i	−0.546001	−	1.68042i	−0.718599	−	0.695425i	$-0.755216\pi$
$233$	−8.33434	−	25.6505i	−0.546001	−	1.68042i	0.172598	−	0.984992i	$-0.444784\pi$
$234$	10.6094	−	2.29183i	0.693557	−	0.149822i
$235$	5.70420	−	4.14434i	0.372101	−	0.270347i
$236$	−44.7030	−	14.5249i	−2.90992	−	0.945490i
$237$	−2.48379	+	3.07763i	−0.161339	+	0.199913i
$238$	40.3651	+	55.5578i	2.61648	+	3.60128i
$239$	−0.461364	−	0.335200i	−0.0298431	−	0.0216823i	0.572764	−	0.819721i	$-0.305871\pi$
$239$	−0.461364	−	0.335200i	−0.0298431	−	0.0216823i	−0.602607	+	0.798038i	$0.705871\pi$
$240$	−0.730217	+	14.3891i	−0.0471353	+	0.928810i
$241$			13.4660i			0.867424i	0.901052	+	0.433712i	$0.142797\pi$
$241$			13.4660i			0.867424i	−0.901052	+	0.433712i	$0.857203\pi$
$242$	16.2706	+	23.2346i	1.04591	+	1.49358i
$243$	−15.0902	−	3.90983i	−0.968035	−	0.250816i
$244$	−10.8235	+	3.51675i	−0.692901	+	0.225137i
$245$	3.06862	−	4.22359i	0.196047	−	0.269835i
$246$	2.76630	+	10.2560i	0.176373	+	0.653900i
$247$	1.10204	−	3.39173i	0.0701211	−	0.215811i
$248$	−4.86886	+	14.9848i	−0.309173	+	0.951537i
$249$	2.77050	+	10.2716i	0.175573	+	0.650937i
$250$	1.51569	−	2.08617i	0.0958606	−	0.131941i
$251$	3.66874	−	1.19205i	0.231569	−	0.0752412i	−0.190934	−	0.981603i	$-0.561152\pi$
$251$	3.66874	−	1.19205i	0.231569	−	0.0752412i	0.422503	+	0.906362i	$0.361152\pi$
$252$	−32.5069	+	36.3438i	−2.04774	+	2.28944i
$253$	−0.00950885	−	0.0636153i	−0.000597817	−	0.00399946i
$254$			37.2181i			2.33527i
$255$	−0.668759	+	13.1780i	−0.0418793	+	0.825240i
$256$	19.5433	+	14.1991i	1.22146	+	0.887442i
$257$	−6.49077	−	8.93378i	−0.404883	−	0.557274i	0.557078	−	0.830460i	$-0.311922\pi$
$257$	−6.49077	−	8.93378i	−0.404883	−	0.557274i	−0.961961	+	0.273186i	$0.911922\pi$
$258$	−4.16262	+	5.15784i	−0.259153	+	0.321113i
$259$	−24.3309	−	7.90560i	−1.51185	−	0.491230i
$260$	5.27760	−	3.83440i	0.327303	−	0.237800i
$261$	1.32563	+	6.13664i	0.0820545	+	0.379848i
$262$	−13.1756	−	40.5502i	−0.813989	−	2.50520i
$263$	21.8038			1.34448			0.672239	−	0.740334i	$-0.265333\pi$
$263$	21.8038			1.34448			0.672239	+	0.740334i	$0.265333\pi$
$264$	39.0592	−	3.82714i	2.40393	−	0.235544i
$265$	4.52291			0.277840
$266$	7.08035	+	21.7911i	0.434124	+	1.33610i
$267$	12.0888	+	18.5479i	0.739825	+	1.13511i
$268$	26.2572	−	19.0770i	1.60392	−	1.16531i
$269$	−11.5239	−	3.74435i	−0.702626	−	0.228297i	−0.0641517	−	0.997940i	$-0.520434\pi$
$269$	−11.5239	−	3.74435i	−0.702626	−	0.228297i	−0.638474	+	0.769643i	$0.720434\pi$
$270$	−13.2235	+	2.16176i	−0.804757	+	0.131561i
$271$	−0.0174867	−	0.0240684i	−0.00106224	−	0.00146205i	0.808486	−	0.588516i	$-0.200288\pi$
$271$	−0.0174867	−	0.0240684i	−0.00106224	−	0.00146205i	−0.809548	+	0.587054i	$0.800288\pi$
$272$	−51.2668	−	37.2475i	−3.10851	−	2.25846i
$273$	8.48458	+	0.430576i	0.513510	+	0.0260596i
$274$		−	25.9546i		−	1.56798i
$275$	−2.94192	−	1.53138i	−0.177404	−	0.0923457i
$276$	−0.145898	−	0.0557281i	−0.00878203	−	0.00335444i
$277$	−15.5996	+	5.06862i	−0.937290	+	0.304544i	−0.737540	−	0.675303i	$-0.764013\pi$
$277$	−15.5996	+	5.06862i	−0.937290	+	0.304544i	−0.199750	+	0.979847i	$0.564013\pi$
$278$	−18.5726	+	25.5630i	−1.11391	+	1.53317i
$279$	−6.88316	−	0.700418i	−0.412084	−	0.0419329i
$280$	−7.38025	+	22.7141i	−0.441054	+	1.35742i
$281$	0.0698179	−	0.214877i	0.00416499	−	0.0128185i	−0.948952	−	0.315419i	$-0.897855\pi$
$281$	0.0698179	−	0.214877i	0.00416499	−	0.0128185i	0.953117	+	0.302601i	$0.0978549\pi$
$282$	−30.4046	+	8.20086i	−1.81057	+	0.488354i
$283$	10.9347	−	15.0504i	0.650002	−	0.894651i	−0.349097	−	0.937086i	$-0.613512\pi$
$283$	10.9347	−	15.0504i	0.650002	−	0.894651i	0.999099	+	0.0424356i	$0.0135117\pi$
$284$	−24.7848	+	8.05306i	−1.47071	+	0.477861i
$285$	−1.57089	+	4.11265i	−0.0930516	+	0.243612i
$286$	−8.41087	−	8.55857i	−0.497345	−	0.506079i
$287$			8.31425i			0.490775i
$288$	9.42979	−	21.3698i	0.555656	−	1.25923i
$289$	−33.1987	−	24.1203i	−1.95287	−	1.41884i
$290$	3.17193	+	4.36578i	0.186262	+	0.256368i
$291$	−17.6847	−	14.2724i	−1.03669	−	0.836660i
$292$	40.3063	+	13.0963i	2.35875	+	0.766403i
$293$	8.94606	−	6.49970i	0.522635	−	0.379716i	−0.294961	−	0.955509i	$-0.595307\pi$
$293$	8.94606	−	6.49970i	0.522635	−	0.379716i	0.817595	+	0.575793i	$0.195307\pi$
$294$	−19.5344	+	12.7318i	−1.13927	+	0.742534i
$295$	−3.12403	−	9.61477i	−0.181888	−	0.559793i
$296$	49.9974			2.90604
$297$	5.26420	+	16.4100i	0.305460	+	0.952205i
$298$	7.25698			0.420385
$299$	0.00840866	+	0.0258792i	0.000486286	+	0.00149663i
$300$	−6.74656	+	4.39716i	−0.389513	+	0.253870i
$301$	−4.19698	+	3.04928i	−0.241910	+	0.175758i
$302$	52.8495	+	17.1718i	3.04114	+	0.988128i
$303$	−9.36436	−	7.55747i	−0.537968	−	0.434166i
$304$	−12.4275	−	17.1050i	−0.712765	−	0.981037i
$305$	−1.98025	−	1.43873i	−0.113389	−	0.0823816i
$306$	23.7920	−	53.9174i	1.36010	−	3.08225i
$307$			3.78669i			0.216118i	0.994144	+	0.108059i	$0.0344635\pi$
$307$			3.78669i			0.216118i	−0.994144	+	0.108059i	$0.965536\pi$
$308$	53.1675	+	8.89594i	3.02950	+	0.506893i
$309$	7.44718	−	19.4970i	0.423655	−	1.10914i
$310$	−5.65590	+	1.83771i	−0.321233	+	0.104375i
$311$	4.47159	−	6.15461i	0.253560	−	0.348996i	−0.663194	−	0.748448i	$-0.730799\pi$
$311$	4.47159	−	6.15461i	0.253560	−	0.348996i	0.916754	+	0.399452i	$0.130799\pi$
$312$	−16.0300	+	4.32368i	−0.907520	+	0.244780i
$313$	−2.94293	+	9.05740i	−0.166344	+	0.511955i	−0.999133	−	0.0416363i	$-0.986743\pi$
$313$	−2.94293	+	9.05740i	−0.166344	+	0.511955i	0.832789	+	0.553591i	$0.186743\pi$
$314$	9.15302	−	28.1701i	0.516535	−	1.58973i
$315$	−10.4335	−	1.06170i	−0.587863	−	0.0598199i
$316$	6.24005	−	8.58870i	0.351030	−	0.483152i
$317$	1.63869	−	0.532442i	0.0920379	−	0.0299049i	−0.262636	−	0.964895i	$-0.584592\pi$
$317$	1.63869	−	0.532442i	0.0920379	−	0.0299049i	0.354674	+	0.934990i	$0.384592\pi$
$318$	−18.8711	−	7.20812i	−1.05824	−	0.404211i
$319$	4.95041	−	4.86498i	0.277170	−	0.272387i
$320$		−	3.44076i		−	0.192344i
$321$	−10.1904	−	0.517141i	−0.568770	−	0.0288640i
$322$	−0.141436	−	0.102759i	−0.00788192	−	0.00572655i
$323$	−11.3815	−	15.6653i	−0.633286	−	0.871643i
$324$	40.9870	+	8.42881i	2.27706	+	0.468267i
$325$	1.33440	+	0.433574i	0.0740194	+	0.0240504i
$326$	−40.0872	+	29.1250i	−2.22022	+	1.61309i
$327$	8.02492	+	12.3126i	0.443779	+	0.680889i
$328$	−5.02111	−	15.4534i	−0.277245	−	0.853271i
$329$	−24.6481			−1.35889
$330$	9.83412	+	11.0779i	0.541351	+	0.609820i
$331$	12.2320			0.672333			0.336166	−	0.941803i	$-0.390870\pi$
$331$	12.2320			0.672333			0.336166	+	0.941803i	$0.390870\pi$
$332$	−8.82486	−	27.1601i	−0.484327	−	1.49061i
$333$	4.63570	+	21.4597i	0.254035	+	1.17598i
$334$	−17.0304	+	12.3733i	−0.931862	+	0.677037i
$335$	6.63895	+	2.15713i	0.362725	+	0.117856i
$336$	31.6316	−	39.1942i	1.72564	−	2.13822i
$337$	−18.4810	−	25.4370i	−1.00673	−	1.38564i	−0.921106	−	0.389312i	$-0.872713\pi$
$337$	−18.4810	−	25.4370i	−1.00673	−	1.38564i	−0.0856202	−	0.996328i	$-0.527287\pi$
$338$	−23.0133	−	16.7202i	−1.25176	−	0.909456i
$339$	0.617251	−	12.1631i	0.0335245	−	0.660606i
$340$		−	35.4198i		−	1.92091i
$341$	3.41309	+	6.84520i	0.184829	+	0.370688i
$342$	13.1086	−	14.6558i	0.708831	−	0.792497i
$343$	5.91584	−	1.92217i	0.319425	−	0.103788i
$344$	5.95926	−	8.20221i	0.321301	−	0.442234i
$345$	−0.00874771	−	0.0324321i	−0.000470961	−	0.00174608i
$346$	−15.7654	+	48.5210i	−0.847555	+	2.60851i
$347$	0.904695	−	2.78436i	0.0485666	−	0.149473i	−0.923832	−	0.382798i	$-0.874961\pi$
$347$	0.904695	−	2.78436i	0.0485666	−	0.149473i	0.972399	+	0.233325i	$0.0749606\pi$
$348$	−4.38876	−	16.2713i	−0.235262	−	0.872233i
$349$	−1.99724	+	2.74897i	−0.106910	+	0.147149i	−0.859119	−	0.511775i	$-0.828988\pi$
$349$	−1.99724	+	2.74897i	−0.106910	+	0.147149i	0.752210	+	0.658924i	$0.228988\pi$
$350$	−8.57324	+	2.78561i	−0.458259	+	0.148897i
$351$	−3.34208	−	6.47945i	−0.178387	−	0.345847i
$352$	−25.5393	+	3.81747i	−1.36125	+	0.203472i
$353$			26.4438i			1.40746i	0.710466	+	0.703731i	$0.248484\pi$
$353$			26.4438i			1.40746i	−0.710466	+	0.703731i	$0.751516\pi$
$354$	−2.28847	+	45.0948i	−0.121631	+	2.39676i
$355$	−4.53459	−	3.29457i	−0.240671	−	0.174858i
$356$	−34.9323	−	48.0802i	−1.85141	−	2.54825i
$357$	28.9693	−	35.8955i	1.53322	−	1.89979i
$358$	−9.99548	−	3.24773i	−0.528277	−	0.171648i
$359$	1.49076	−	1.08310i	0.0786792	−	0.0571638i	−0.547750	−	0.836642i	$-0.684516\pi$
$359$	1.49076	−	1.08310i	0.0786792	−	0.0571638i	0.626430	+	0.779478i	$0.284516\pi$
$360$	20.0336	−	4.32764i	1.05586	−	0.228087i
$361$	3.87491	+	11.9257i	0.203943	+	0.627671i
$362$	−14.9915			−0.787937
$363$	12.2219	−	14.6159i	0.641484	−	0.767137i
$364$	−22.8048			−1.19530
$365$	2.81677	+	8.66911i	0.147436	+	0.453762i
$366$	5.96936	+	9.15878i	0.312023	+	0.478737i
$367$	11.3850	−	8.27168i	0.594292	−	0.431778i	−0.249557	−	0.968360i	$-0.580285\pi$
$367$	11.3850	−	8.27168i	0.594292	−	0.431778i	0.843848	+	0.536582i	$0.180285\pi$
$368$	0.153427	+	0.0498513i	0.00799791	+	0.00259868i
$369$	6.16730	−	3.58797i	0.321057	−	0.186782i
$370$	11.0922	+	15.2670i	0.576654	+	0.793696i
$371$	−12.7915	−	9.29359i	−0.664103	−	0.482499i
$372$	18.5483	+	0.941290i	0.961684	+	0.0488036i
$373$		−	0.322513i		−	0.0166991i	−0.999965	−	0.00834954i	$-0.997342\pi$
$373$		−	0.322513i		−	0.0166991i	0.999965	−	0.00834954i	$-0.00265777\pi$
$374$	−64.4374	+	9.63174i	−3.33198	+	0.498045i
$375$	−1.61803	−	0.618034i	−0.0835549	−	0.0319151i
$376$	45.8126	−	14.8854i	2.36260	−	0.767656i
$377$	−1.72589	+	2.37548i	−0.0888877	+	0.122343i
$378$	41.8402	+	21.0576i	2.15203	+	1.08309i
$379$	−5.01397	+	15.4314i	−0.257550	+	0.792659i	0.735766	+	0.677236i	$0.236822\pi$
$379$	−5.01397	+	15.4314i	−0.257550	+	0.792659i	−0.993316	+	0.115423i	$0.963178\pi$
$380$	3.65186	−	11.2393i	0.187337	−	0.576563i
$381$	24.1365	−	6.51019i	1.23655	−	0.333527i
$382$	−37.6621	+	51.8374i	−1.92696	+	2.65223i
$383$	−4.76466	+	1.54813i	−0.243463	+	0.0791059i	−0.428207	−	0.903681i	$-0.640854\pi$
$383$	−4.76466	+	1.54813i	−0.243463	+	0.0791059i	0.184744	+	0.982787i	$0.440854\pi$
$384$	4.14046	−	10.8399i	0.211292	−	0.553169i
$385$	5.17357	+	10.3760i	0.263670	+	0.528810i
$386$		−	18.2441i		−	0.928599i
$387$	4.07306	+	1.79731i	0.207045	+	0.0913623i
$388$	49.3524	+	35.8566i	2.50549	+	1.82034i
$389$	−1.34004	−	1.84441i	−0.0679427	−	0.0935150i	0.773693	−	0.633560i	$-0.218407\pi$
$389$	−1.34004	−	1.84441i	−0.0679427	−	0.0935150i	−0.841636	+	0.540045i	$0.818407\pi$
$390$	−4.87660	−	3.93564i	−0.246936	−	0.199289i
$391$	0.140514	+	0.0456556i	0.00710608	+	0.00230890i
$392$	28.8551	−	20.9645i	1.45740	−	1.05887i
$393$	−23.9927	+	15.6376i	−1.21027	+	0.788811i
$394$	11.4838	+	35.3435i	0.578545	+	1.78058i
$395$	2.28334			0.114888
$396$	−16.3453	−	43.2772i	−0.821383	−	2.17476i
$397$	−39.1922			−1.96700			−0.983500	−	0.180908i	$-0.942097\pi$
$397$	−39.1922			−1.96700			−0.983500	+	0.180908i	$0.942097\pi$
$398$	0.736500	+	2.26671i	0.0369174	+	0.113620i
$399$	12.8933	−	8.40341i	0.645474	−	0.420697i
$400$	6.72958	−	4.88933i	0.336479	−	0.244466i
$401$	−6.05646	−	1.96786i	−0.302445	−	0.0982703i	0.153863	−	0.988092i	$-0.450829\pi$
$401$	−6.05646	−	1.96786i	−0.302445	−	0.0982703i	−0.456308	+	0.889822i	$0.650829\pi$
$402$	−24.2621	−	19.5807i	−1.21009	−	0.976596i
$403$	−1.90197	−	2.61783i	−0.0947438	−	0.130404i
$404$	26.1330	+	18.9867i	1.30017	+	0.944626i
$405$	3.71499	+	8.19749i	0.184599	+	0.407337i
$406$		−	18.8648i		−	0.936243i
$407$	17.3115	−	17.0127i	0.858098	−	0.843289i
$408$	−32.1664	+	84.2127i	−1.59247	+	4.16915i
$409$	32.0095	−	10.4005i	1.58277	−	0.514272i	0.619999	−	0.784602i	$-0.287133\pi$
$409$	32.0095	−	10.4005i	1.58277	−	0.514272i	0.962768	+	0.270330i	$0.0871328\pi$
$410$	3.60484	−	4.96164i	0.178031	−	0.245038i
$411$	−16.8319	+	4.53998i	−0.830258	+	0.223941i
$412$	−17.3125	+	53.2824i	−0.852926	+	2.62504i
$413$	−10.9210	+	33.6113i	−0.537387	+	1.65391i
$414$	−0.0151883	+	0.149259i	−0.000746464	+	0.00733566i
$415$	3.61032	−	4.96918i	0.177224	−	0.243928i
$416$	10.3896	−	3.37578i	0.509392	−	0.165511i
$417$	19.8267	+	7.57313i	0.970919	+	0.370858i
$418$	−21.4401	−	3.58734i	−1.04867	−	0.175462i
$419$		−	19.0816i		−	0.932198i	−0.884733	−	0.466099i	$-0.845659\pi$
$419$		−	19.0816i		−	0.932198i	0.884733	−	0.466099i	$-0.154341\pi$
$420$	28.1156	+	1.42681i	1.37190	+	0.0696213i
$421$	−23.8275	−	17.3117i	−1.16128	−	0.843719i	−0.171340	−	0.985212i	$-0.554810\pi$
$421$	−23.8275	−	17.3117i	−1.16128	−	0.843719i	−0.989939	+	0.141493i	$0.954810\pi$
$422$	24.3840	+	33.5618i	1.18700	+	1.63376i
$423$	10.6367	+	18.2833i	0.517176	+	0.888966i
$424$	29.3877	+	9.54865i	1.42719	+	0.463723i
$425$	6.16320	−	4.47782i	0.298959	−	0.217206i
$426$	13.6693	+	20.9728i	0.662280	+	1.01614i
$427$	2.64418	+	8.13795i	0.127961	+	0.393823i
$428$	27.3896			1.32392
$429$	−4.07913	+	6.95163i	−0.196942	+	0.335628i
$430$	3.82669			0.184539
$431$	−4.04898	−	12.4615i	−0.195033	−	0.600249i	−0.999976	−	0.00689751i	$-0.997804\pi$
$431$	−4.04898	−	12.4615i	−0.195033	−	0.600249i	0.804943	−	0.593351i	$-0.202196\pi$
$432$	−42.7237	−	6.54945i	−2.05554	−	0.315110i
$433$	1.04465	−	0.758986i	0.0502029	−	0.0364745i	−0.562401	−	0.826865i	$-0.690122\pi$
$433$	1.04465	−	0.758986i	0.0502029	−	0.0364745i	0.612604	+	0.790390i	$0.290122\pi$
$434$	19.7719	+	6.42428i	0.949082	+	0.308376i
$435$	2.27644	−	2.82070i	0.109147	−	0.135242i
$436$	−23.1891	−	31.9170i	−1.11055	−	1.52855i
$437$	0.0398800	+	0.0289745i	0.00190772	+	0.00138604i
$438$	2.06339	−	40.6595i	0.0985926	−	1.94279i
$439$			31.3719i			1.49730i	0.662967	+	0.748648i	$0.269297\pi$
$439$			31.3719i			1.49730i	−0.662967	+	0.748648i	$0.730703\pi$
$440$	−15.8822	−	16.1611i	−0.757152	−	0.770449i
$441$	11.6737	+	10.4413i	0.555891	+	0.497204i
$442$	26.2136	−	8.51733i	1.24686	−	0.405128i
$443$	−5.92556	+	8.15584i	−0.281532	+	0.387496i	−0.926241	−	0.376933i	$-0.876979\pi$
$443$	−5.92556	+	8.15584i	−0.281532	+	0.387496i	0.644709	+	0.764428i	$0.276979\pi$
$444$	−15.3474	−	56.9003i	−0.728355	−	2.70037i
$445$	3.94996	−	12.1567i	0.187246	−	0.576284i
$446$	18.8302	−	57.9533i	0.891634	−	2.74417i
$447$	−1.26939	−	4.70625i	−0.0600401	−	0.222598i
$448$	−7.07000	+	9.73102i	−0.334026	+	0.459748i
$449$	2.78870	−	0.906102i	0.131607	−	0.0427616i	−0.242473	−	0.970158i	$-0.577959\pi$
$449$	2.78870	−	0.906102i	0.131607	−	0.0427616i	0.374080	+	0.927397i	$0.377959\pi$
$450$	5.76603	+	5.15729i	0.271813	+	0.243117i
$451$	−6.99691	−	3.64216i	−0.329472	−	0.171503i
$452$			32.6918i			1.53769i
$453$	1.89175	−	37.2773i	0.0888822	−	1.75144i
$454$	25.2826	+	18.3689i	1.18657	+	0.862094i
$455$	−2.88301	−	3.96813i	−0.135158	−	0.186029i
$456$	−18.8894	+	23.4056i	−0.884578	+	1.09607i
$457$	34.1629	+	11.1002i	1.59807	+	0.519246i	0.966630	−	0.256176i	$-0.0824628\pi$
$457$	34.1629	+	11.1002i	1.59807	+	0.519246i	0.631443	+	0.775422i	$0.282463\pi$
$458$	−16.3953	+	11.9119i	−0.766103	+	0.556606i
$459$	−39.1279	−	5.99822i	−1.82633	−	0.279973i
$460$	0.0278640	+	0.0857567i	0.00129917	+	0.00399843i
$461$	33.0536			1.53946			0.769731	−	0.638369i	$-0.220390\pi$
$461$	33.0536			1.53946			0.769731	+	0.638369i	$0.220390\pi$
$462$	−5.04977	−	51.5372i	−0.234937	−	2.39773i
$463$	−23.7026			−1.10156			−0.550778	−	0.834652i	$-0.685669\pi$
$463$	−23.7026			−1.10156			−0.550778	+	0.834652i	$0.685669\pi$
$464$	5.37930	+	16.5558i	0.249728	+	0.768583i
$465$	2.18111	+	3.34648i	0.101147	+	0.155189i
$466$	56.2650	−	40.8789i	2.60642	−	1.89368i
$467$	−21.7454	−	7.06552i	−1.00626	−	0.326953i	−0.240895	−	0.970551i	$-0.577441\pi$
$467$	−21.7454	−	7.06552i	−1.00626	−	0.326953i	−0.765364	+	0.643598i	$0.777441\pi$
$468$	9.84127	+	16.9160i	0.454913	+	0.781943i
$469$	−14.3436	−	19.7423i	−0.662327	−	0.911615i
$470$	14.7091	+	10.6868i	0.678480	+	0.492945i
$471$	−19.8698	−	1.00835i	−0.915550	−	0.0464624i
$472$		−	69.0675i		−	3.17909i
$473$	−0.727606	−	4.86777i	−0.0334554	−	0.223820i
$474$	−9.52688	−	3.63894i	−0.437584	−	0.167142i
$475$	2.41735	−	0.785446i	0.110916	−	0.0360387i
$476$	−72.7800	+	100.173i	−3.33587	+	4.59143i
$477$	−1.37364	+	13.4990i	−0.0628945	+	0.618078i
$478$	0.454423	−	1.39857i	0.0207848	−	0.0639691i
$479$	−5.86896	+	18.0628i	−0.268160	+	0.825310i	0.722789	+	0.691069i	$0.242860\pi$
$479$	−5.86896	+	18.0628i	−0.268160	+	0.825310i	−0.990949	+	0.134242i	$0.957140\pi$
$480$	−13.0203	+	3.51190i	−0.594295	+	0.160296i
$481$	−6.03539	+	8.30700i	−0.275190	+	0.378767i
$482$	−33.0246	+	10.7304i	−1.50423	+	0.488754i
$483$	−0.0419009	+	0.109698i	−0.00190656	+	0.00499143i
$484$	−30.7771	+	40.8465i	−1.39896	+	1.85666i
$485$			13.1206i			0.595774i
$486$	−2.43592	−	40.1232i	−0.110495	−	1.82003i
$487$	20.1936	+	14.6715i	0.915061	+	0.664831i	0.942290	−	0.334798i	$-0.108668\pi$
$487$	20.1936	+	14.6715i	0.915061	+	0.664831i	−0.0272286	+	0.999629i	$0.508668\pi$
$488$	−9.82928	−	13.5288i	−0.444951	−	0.612422i
$489$	25.9000	+	20.9025i	1.17124	+	0.945246i
$490$	12.8033	+	4.16005i	0.578394	+	0.187932i
$491$	−3.90671	+	2.83839i	−0.176307	+	0.128095i	−0.672439	−	0.740153i	$-0.734753\pi$
$491$	−3.90671	+	2.83839i	−0.176307	+	0.128095i	0.496132	+	0.868247i	$0.334753\pi$
$492$	−16.0457	+	10.4580i	−0.723396	+	0.471483i
$493$	4.92656	+	15.1624i	0.221881	+	0.682880i
$494$	9.19616			0.413755
$495$	5.46402	−	8.31532i	0.245589	−	0.373746i
$496$	−19.1838			−0.861377
$497$	6.05494	+	18.6352i	0.271601	+	0.835903i
$498$	−22.9828	+	14.9794i	−1.02988	+	0.671241i
$499$	7.87949	−	5.72478i	0.352734	−	0.256277i	−0.397281	−	0.917697i	$-0.630046\pi$
$499$	7.87949	−	5.72478i	0.352734	−	0.256277i	0.750015	+	0.661421i	$0.230046\pi$
$500$	4.42186	+	1.43675i	0.197751	+	0.0642533i
$501$	11.0032	+	8.88011i	0.491588	+	0.396734i
$502$	5.84683	+	8.04748i	0.260957	+	0.359176i
$503$	−26.3064	−	19.1128i	−1.17295	−	0.852195i	−0.181588	−	0.983375i	$-0.558124\pi$
$503$	−26.3064	−	19.1128i	−1.17295	−	0.852195i	−0.991359	+	0.131179i	$0.958124\pi$
$504$	−65.5507	−	28.9254i	−2.91986	−	1.28844i
$505$			6.94758i			0.309163i
$506$	0.148436	−	0.0740114i	0.00659876	−	0.00329021i
$507$	−6.81777	+	17.8491i	−0.302788	+	0.792708i
$508$	−63.8216	+	20.7369i	−2.83162	+	0.920051i
$509$	5.49649	−	7.56528i	0.243628	−	0.335325i	−0.669639	−	0.742687i	$-0.733551\pi$
$509$	5.49649	−	7.56528i	0.243628	−	0.335325i	0.913267	+	0.407362i	$0.133551\pi$
$510$	−32.8512	+	8.86076i	−1.45468	+	0.392361i
$511$	9.84686	−	30.3055i	0.435599	−	1.34064i
$512$	−15.1089	+	46.5003i	−0.667723	+	2.05504i
$513$	−11.7975	−	5.93750i	−0.520871	−	0.262147i
$514$	16.7374	−	23.0370i	0.738255	−	1.01612i
$515$	−11.4600	+	3.72359i	−0.504989	+	0.164081i
$516$	−11.1639	−	4.26425i	−0.491465	−	0.187723i
$517$	10.7974	−	20.7428i	0.474870	−	0.912267i
$518$		−	65.9697i		−	2.89854i
$519$	34.2243	+	1.73682i	1.50228	+	0.0762377i
$520$	7.75497	+	5.63432i	0.340078	+	0.247081i
$521$	10.2593	+	14.1208i	0.449469	+	0.618641i	0.972283	−	0.233805i	$-0.0751178\pi$
$521$	10.2593	+	14.1208i	0.449469	+	0.618641i	−0.522814	+	0.852447i	$0.675118\pi$
$522$	−13.9934	+	8.14098i	−0.612474	+	0.356321i
$523$	5.64516	+	1.83422i	0.246845	+	0.0802049i	0.429827	−	0.902911i	$-0.358575\pi$
$523$	5.64516	+	1.83422i	0.246845	+	0.0802049i	−0.182981	+	0.983116i	$0.558575\pi$
$524$	62.1943	−	45.1868i	2.71697	−	1.97400i
$525$	3.30614	+	5.07261i	0.144292	+	0.221387i
$526$	17.3742	+	53.4724i	0.757552	+	2.33151i
$527$	−17.5692			−0.765326
$528$	19.1276	+	43.7893i	0.832420	+	1.90568i
$529$	22.9996			0.999984
$530$	3.60406	+	11.0922i	0.156550	+	0.481812i
$531$	29.6449	−	6.40387i	1.28648	−	0.277904i
$532$	−33.4223	+	24.2828i	−1.44904	+	1.05279i
$533$	3.17368	+	1.03119i	0.137467	+	0.0446659i
$534$	−35.8546	+	44.4269i	−1.55158	+	1.92254i
$535$	3.46263	+	4.76590i	0.149702	+	0.206048i
$536$	38.5827	+	28.0319i	1.66652	+	1.21080i
$537$	−0.357789	+	7.05030i	−0.0154397	+	0.304243i
$538$		−	31.2454i		−	1.34708i
$539$	2.85740	−	17.0775i	0.123077	−	0.735581i
$540$	−11.0747	−	21.4712i	−0.476581	−	0.923971i
$541$	−16.8899	+	5.48786i	−0.726153	+	0.235941i	−0.648689	−	0.761054i	$-0.724682\pi$
$541$	−16.8899	+	5.48786i	−0.726153	+	0.235941i	−0.0774640	+	0.996995i	$0.524682\pi$
$542$	0.0450921	−	0.0620639i	0.00193687	−	0.00266587i
$543$	2.62232	+	9.72222i	0.112534	+	0.417220i
$544$	18.3291	−	56.4113i	0.785856	−	2.41861i
$545$	2.62210	−	8.06998i	0.112318	−	0.345680i
$546$	5.70493	+	21.1510i	0.244149	+	0.905179i
$547$	−2.15265	+	2.96287i	−0.0920406	+	0.126683i	−0.852554	−	0.522639i	$-0.824947\pi$
$547$	−2.15265	+	2.96287i	−0.0920406	+	0.126683i	0.760513	+	0.649322i	$0.224947\pi$
$548$	44.5069	−	14.4612i	1.90124	−	0.617751i
$549$	4.89544	−	5.47326i	0.208932	−	0.233593i
$550$	1.41136	−	8.43514i	0.0601806	−	0.359676i
$551$			5.31921i			0.226606i
$552$	0.0116313	−	0.229196i	0.000495059	−	0.00975523i
$553$	−6.45767	−	4.69177i	−0.274608	−	0.199515i
$554$	−24.8610	−	34.2182i	−1.05624	−	1.45379i
$555$	7.96065	−	9.86393i	0.337911	−	0.418700i
$556$	−54.1836	−	17.6053i	−2.29790	−	0.746632i
$557$	−25.6016	+	18.6007i	−1.08478	+	0.788136i	−0.978510	−	0.206202i	$-0.933890\pi$
$557$	−25.6016	+	18.6007i	−1.08478	+	0.788136i	−0.106267	+	0.994338i	$0.533890\pi$
$558$	−3.76708	−	17.4387i	−0.159473	−	0.738237i
$559$	0.643421	+	1.98025i	0.0272138	+	0.0837555i
$560$	−29.0789			−1.22881
$561$	17.5177	+	40.1038i	0.739598	+	1.69318i
$562$	0.582607			0.0245758
$563$	−0.0335988	−	0.103406i	−0.00141602	−	0.00435806i	0.950346	−	0.311195i	$-0.100729\pi$
$563$	−0.0335988	−	0.103406i	−0.00141602	−	0.00435806i	−0.951762	+	0.306837i	$0.900729\pi$
$564$	−31.0034	−	47.5685i	−1.30548	−	2.00299i
$565$	−5.68851	+	4.13294i	−0.239317	+	0.173874i
$566$	45.6233	+	14.8239i	1.91769	+	0.623096i
$567$	6.33746	−	30.8173i	0.266148	−	1.29421i
$568$	−22.5082	−	30.9799i	−0.944423	−	1.29989i
$569$	7.22329	+	5.24803i	0.302816	+	0.220009i	0.728808	−	0.684718i	$-0.240075\pi$
$569$	7.22329	+	5.24803i	0.302816	+	0.220009i	−0.425992	+	0.904727i	$0.640075\pi$
$570$	−11.3378	−	0.575370i	−0.474887	−	0.0240996i
$571$		−	12.1395i		−	0.508021i	−0.967201	−	0.254011i	$-0.918250\pi$
$571$		−	12.1395i		−	0.508021i	0.967201	−	0.254011i	$-0.0817498\pi$
$572$	9.98992	−	19.1915i	0.417700	−	0.802438i
$573$	40.2052	+	15.3570i	1.67960	+	0.641548i
$574$	−20.3902	+	6.62517i	−0.851070	+	0.276529i
$575$	−0.0113994	+	0.0156899i	−0.000475388	+	0.000654316i
$576$	10.2692	+	1.04498i	0.427885	+	0.0435408i
$577$	9.22007	−	28.3765i	0.383837	−	1.18133i	−0.553484	−	0.832860i	$-0.686702\pi$
$577$	9.22007	−	28.3765i	0.383837	−	1.18133i	0.937321	−	0.348468i	$-0.113298\pi$
$578$	32.6993	−	100.638i	1.36011	−	4.18599i
$579$	−11.8315	+	3.19125i	−0.491702	+	0.132624i
$580$	−5.71913	+	7.87170i	−0.237474	+	0.326855i
$581$	−20.4212	+	6.63524i	−0.847213	+	0.275276i
$582$	20.9101	−	54.7434i	0.866752	−	2.26919i
$583$	13.4246	−	6.69363i	0.555989	−	0.277222i
$584$			62.2744i			2.57693i
$585$	−1.69931	+	3.85097i	−0.0702577	+	0.159218i
$586$	23.0687	+	16.7604i	0.952960	+	0.692366i
$587$	3.50216	+	4.82031i	0.144550	+	0.198955i	0.875153	−	0.483847i	$-0.160761\pi$
$587$	3.50216	+	4.82031i	0.144550	+	0.198955i	−0.730603	+	0.682803i	$0.760761\pi$
$588$	−32.7165	−	26.4037i	−1.34921	−	1.08887i
$589$	−5.57499	−	1.81142i	−0.229713	−	0.0746384i
$590$	21.0903	−	15.3230i	0.868272	−	0.630836i
$591$	20.9120	−	13.6297i	0.860205	−	0.560650i
$592$	18.8113	+	57.8952i	0.773139	+	2.37948i
$593$	46.1025			1.89320			0.946602	−	0.322404i	$-0.104491\pi$
$593$	46.1025			1.89320			0.946602	+	0.322404i	$0.104491\pi$
$594$	−36.0498	+	25.9864i	−1.47914	+	1.06623i
$595$	−26.6315			−1.09178
$596$	4.04338	+	12.4442i	0.165623	+	0.509736i
$597$	1.34117	−	0.874124i	0.0548903	−	0.0357755i
$598$	−0.0567667	+	0.0412434i	−0.00232136	+	0.00168657i
$599$	22.2811	+	7.23958i	0.910383	+	0.295801i	0.726516	−	0.687150i	$-0.241138\pi$
$599$	22.2811	+	7.23958i	0.910383	+	0.295801i	0.183867	+	0.982951i	$0.441138\pi$
$600$	−9.20844	−	7.43164i	−0.375933	−	0.303395i
$601$	21.4026	+	29.4582i	0.873032	+	1.20163i	0.978302	+	0.207182i	$0.0664291\pi$
$601$	21.4026	+	29.4582i	0.873032	+	1.20163i	−0.105271	+	0.994444i	$0.533571\pi$
$602$	−10.8225	−	7.86302i	−0.441093	−	0.320473i
$603$	−8.45442	+	19.1594i	−0.344291	+	0.780231i
$604$			100.194i			4.07683i
$605$	−10.9983	−	0.191475i	−0.447146	−	0.00778458i
$606$	11.0723	−	28.9876i	0.449781	−	1.17754i
$607$	−18.8620	+	6.12864i	−0.765586	+	0.248754i	−0.665674	−	0.746242i	$-0.731856\pi$
$607$	−18.8620	+	6.12864i	−0.765586	+	0.248754i	−0.0999114	+	0.994996i	$0.531856\pi$
$608$	11.6323	−	16.0104i	0.471750	−	0.649309i
$609$	−12.2341	+	3.29982i	−0.495750	+	0.133716i
$610$	1.95045	−	6.00288i	0.0789715	−	0.243049i
$611$	−3.05703	+	9.40858i	−0.123674	+	0.380630i
$612$	105.714	+	10.7572i	4.27322	+	0.434835i
$613$	−1.73441	+	2.38721i	−0.0700522	+	0.0964186i	−0.842605	−	0.538531i	$-0.818979\pi$
$613$	−1.73441	+	2.38721i	−0.0700522	+	0.0964186i	0.772553	+	0.634950i	$0.218979\pi$
$614$	−9.28663	+	3.01741i	−0.374778	+	0.121773i
$615$	−3.84825	−	1.46990i	−0.155177	−	0.0592722i
$616$	11.7099	+	78.3406i	0.471805	+	3.15643i
$617$		−	19.1421i		−	0.770631i	−0.922785	−	0.385316i	$-0.874093\pi$
$617$		−	19.1421i		−	0.770631i	0.922785	−	0.385316i	$-0.125907\pi$
$618$	53.7494	+	2.72768i	2.16212	+	0.109723i
$619$	6.74687	+	4.90188i	0.271179	+	0.197023i	0.715061	−	0.699062i	$-0.246399\pi$
$619$	6.74687	+	4.90188i	0.271179	+	0.197023i	−0.443882	+	0.896085i	$0.646399\pi$
$620$	−6.30261	−	8.67480i	−0.253119	−	0.348388i
$621$	0.0994531	−	0.0162585i	0.00399092	−	0.000652431i
$622$	18.6570	+	6.06201i	0.748076	+	0.243065i
$623$	−36.1506	+	26.2649i	−1.44834	+	1.05228i
$624$	−11.0379	−	16.9354i	−0.441869	−	0.677959i
$625$	0.309017	+	0.951057i	0.0123607	+	0.0380423i
$626$	−24.5578			−0.981526
$627$	1.42386	+	14.5317i	0.0568634	+	0.580340i
$628$	53.4058			2.13113
$629$	17.2281	+	53.0225i	0.686928	+	2.11415i
$630$	−5.71017	−	26.4336i	−0.227498	−	1.05314i
$631$	−25.6146	+	18.6101i	−1.01970	+	0.740857i	−0.966222	−	0.257712i	$-0.917031\pi$
$631$	−25.6146	+	18.6101i	−1.01970	+	0.740857i	−0.0534799	+	0.998569i	$0.517031\pi$
$632$	14.8361	+	4.82053i	0.590148	+	0.191751i
$633$	17.5000	−	21.6840i	0.695563	−	0.861862i
$634$	2.61156	+	3.59451i	0.103718	+	0.142756i
$635$	−11.6767	−	8.48363i	−0.463376	−	0.336663i
$636$	1.84603	−	36.3763i	0.0731997	−	1.44241i
$637$			7.32496i			0.290225i
$638$	15.8758	+	8.26395i	0.628528	+	0.327173i
$639$	11.2101	−	12.5333i	0.443466	−	0.495810i
$640$	−6.37151	+	2.07023i	−0.251856	+	0.0818330i
$641$	−6.79907	+	9.35811i	−0.268547	+	0.369623i	−0.921898	−	0.387432i	$-0.873362\pi$
$641$	−6.79907	+	9.35811i	−0.268547	+	0.369623i	0.653352	+	0.757055i	$0.273362\pi$
$642$	−6.85188	−	25.4033i	−0.270422	−	1.00259i
$643$	−11.5606	+	35.5800i	−0.455907	+	1.40314i	0.414160	+	0.910204i	$0.364075\pi$
$643$	−11.5606	+	35.5800i	−0.455907	+	1.40314i	−0.870067	+	0.492933i	$0.835925\pi$
$644$	0.0974072	−	0.299789i	0.00383838	−	0.0118133i
$645$	−0.669365	−	2.48166i	−0.0263562	−	0.0977154i
$646$	29.3490	−	40.3954i	1.15472	−	1.58933i
$647$	18.3042	−	5.94739i	0.719612	−	0.233816i	0.0737570	−	0.997276i	$-0.476501\pi$
$647$	18.3042	−	5.94739i	0.719612	−	0.233816i	0.645855	+	0.763460i	$0.276501\pi$
$648$	6.83190	+	61.1064i	0.268382	+	2.40048i
$649$	−23.5018	−	23.9145i	−0.922525	−	0.938726i
$650$			3.61803i			0.141911i
$651$	0.707738	−	13.9461i	0.0277384	−	0.546591i
$652$	−72.2789	−	52.5137i	−2.83066	−	2.05660i
$653$	0.103265	+	0.142132i	0.00404107	+	0.00556205i	0.811033	−	0.585001i	$-0.198906\pi$
$653$	0.103265	+	0.142132i	0.00404107	+	0.00556205i	−0.806992	+	0.590563i	$0.798906\pi$
$654$	−23.8013	+	29.4919i	−0.930705	+	1.15322i
$655$	15.7254	+	5.10949i	0.614442	+	0.199644i
$656$	16.0053	−	11.6285i	0.624903	−	0.454018i
$657$	−26.7292	+	5.77402i	−1.04281	+	0.225266i
$658$	−19.6407	−	60.4480i	−0.765676	−	2.35651i
$659$	−34.3671			−1.33875			−0.669376	−	0.742924i	$-0.733438\pi$
$659$	−34.3671			−1.33875			−0.669376	+	0.742924i	$0.733438\pi$
$660$	−13.5171	+	23.0358i	−0.526154	+	0.896669i
$661$	6.13452			0.238605			0.119303	−	0.992858i	$-0.461934\pi$
$661$	6.13452			0.238605			0.119303	+	0.992858i	$0.461934\pi$
$662$	9.74703	+	29.9983i	0.378829	+	1.16592i
$663$	−10.1089	−	15.5101i	−0.392597	−	0.602361i
$664$	33.9490	−	24.6654i	1.31747	−	0.957202i
$665$	−8.45060	−	2.74576i	−0.327700	−	0.106476i
$666$	−48.9346	+	28.4688i	−1.89618	+	1.10314i
$667$	−0.0238559	−	0.0328348i	−0.000923703	−	0.00127137i
$668$	−30.7066	−	22.3096i	−1.18807	−	0.863185i
$669$	−40.8773	−	2.07444i	−1.58041	−	0.0802026i
$670$			18.0005i			0.695420i
$671$	−8.00686	−	1.33970i	−0.309101	−	0.0517186i
$672$	44.0399	+	16.8217i	1.69888	+	0.648913i
$673$	−21.2727	+	6.91193i	−0.820003	+	0.266435i	−0.688829	−	0.724924i	$-0.741875\pi$
$673$	−21.2727	+	6.91193i	−0.820003	+	0.266435i	−0.131174	+	0.991359i	$0.541875\pi$
$674$	47.6560	−	65.5929i	1.83564	−	2.52654i
$675$	2.33598	−	4.64146i	0.0899120	−	0.178650i
$676$	15.8493	−	48.7792i	0.609589	−	1.87612i
$677$	−4.20910	+	12.9543i	−0.161769	+	0.497873i	−0.998784	−	0.0493070i	$-0.984299\pi$
$677$	−4.20910	+	12.9543i	−0.161769	+	0.497873i	0.837015	+	0.547180i	$0.184299\pi$
$678$	30.3210	−	8.17830i	1.16447	−	0.314086i
$679$	26.9599	−	37.1071i	1.03463	−	1.42404i
$680$	49.4990	−	16.0832i	1.89820	−	0.616762i
$681$	7.49005	−	19.6092i	0.287019	−	0.751426i
$682$	−14.0677	+	13.8249i	−0.538681	+	0.529385i
$683$		−	40.7782i		−	1.56034i	−0.625570	−	0.780168i	$-0.715133\pi$
$683$		−	40.7782i		−	1.56034i	0.625570	−	0.780168i	$-0.284867\pi$
$684$	32.4355	+	14.3127i	1.24020	+	0.547261i
$685$	8.14293	+	5.91618i	0.311125	+	0.226046i
$686$	9.42802	+	12.9766i	0.359963	+	0.495447i
$687$	10.5929	+	8.54897i	0.404144	+	0.326163i
$688$	11.7400	+	3.81456i	0.447584	+	0.145429i
$689$	−5.13401	+	3.73007i	−0.195590	+	0.142105i
$690$	0.0725671	−	0.0472966i	0.00276258	−	0.00180055i
$691$	−9.29590	−	28.6098i	−0.353633	−	1.08837i	−0.956798	−	0.290753i	$-0.906094\pi$
$691$	−9.29590	−	28.6098i	−0.353633	−	1.08837i	0.603166	−	0.797616i	$-0.293906\pi$
$692$	−91.9878			−3.49685
$693$	−32.5393	+	12.2897i	−1.23607	+	0.466848i
$694$	7.54938			0.286571
$695$	−3.78657	−	11.6539i	−0.143633	−	0.442056i
$696$	20.7462	−	13.5216i	0.786383	−	0.512536i
$697$	14.6583	−	10.6498i	0.555221	−	0.403392i
$698$	−8.33317	−	2.70761i	−0.315415	−	0.102485i
$699$	−36.3524	−	29.3381i	−1.37497	−	1.10967i
$700$	−9.55353	−	13.1493i	−0.361090	−	0.496997i
$701$	−38.2344	−	27.7789i	−1.44409	−	1.04920i	−0.987167	−	0.159691i	$-0.948950\pi$
$701$	−38.2344	−	27.7789i	−1.44409	−	1.04920i	−0.456926	−	0.889505i	$-0.651050\pi$
$702$	13.2273	−	13.3594i	0.499233	−	0.504216i
$703$			18.6011i			0.701555i
$704$	−5.09211	−	10.2126i	−0.191916	−	0.384902i
$705$	4.35762	−	11.4084i	0.164117	−	0.429665i
$706$	−64.8518	+	21.0716i	−2.44073	+	0.793041i
$707$	14.2758	−	19.6489i	0.536895	−	0.738973i
$708$	−78.6035	+	21.2013i	−2.95410	+	0.796792i
$709$	2.27412	−	6.99903i	0.0854064	−	0.262854i	−0.899229	−	0.437479i	$-0.855871\pi$
$709$	2.27412	−	6.99903i	0.0854064	−	0.262854i	0.984635	+	0.174625i	$0.0558714\pi$
$710$	4.46637	−	13.7461i	0.167620	−	0.515881i
$711$	−0.693466	+	6.81484i	−0.0260070	+	0.255576i
$712$	51.3299	−	70.6496i	1.92367	−	2.64770i
$713$	0.0425377	−	0.0138213i	0.00159305	−	0.000517613i
$714$	111.116	+	42.4424i	4.15839	+	1.58837i
$715$	4.60234	−	0.687932i	0.172118	−	0.0257272i
$716$		−	18.9498i		−	0.708186i
$717$	−0.986480	−	0.0500619i	−0.0368408	−	0.00186960i
$718$	3.84414	+	2.79293i	0.143462	+	0.104231i
$719$	17.0040	+	23.4039i	0.634140	+	0.872819i	0.998286	−	0.0585227i	$-0.0186390\pi$
$719$	17.0040	+	23.4039i	0.634140	+	0.872819i	−0.364146	+	0.931342i	$0.618639\pi$
$720$	12.5488	+	21.5699i	0.467667	+	0.803864i
$721$	40.0620	+	13.0169i	1.49199	+	0.484776i
$722$	−26.1595	+	19.0060i	−0.973554	+	0.707328i
$723$	12.7355	+	19.5400i	0.473637	+	0.726700i
$724$	−8.35285	−	25.7074i	−0.310431	−	0.955409i
$725$	−2.09273			−0.0777220
$726$	45.5836	+	18.3268i	1.69177	+	0.680173i
$727$	−44.3975			−1.64661			−0.823306	−	0.567598i	$-0.807873\pi$
$727$	−44.3975			−1.64661			−0.823306	+	0.567598i	$0.807873\pi$
$728$	−10.3550	−	31.8695i	−0.383783	−	1.18116i
$729$	−25.5944	+	8.59808i	−0.947941	+	0.318447i
$730$	−19.0159	+	13.8159i	−0.703811	+	0.511349i
$731$	10.7519	+	3.49351i	0.397675	+	0.129212i
$732$	−12.3795	+	15.3392i	−0.457559	+	0.566955i
$733$	−11.3602	−	15.6359i	−0.419598	−	0.577526i	0.545929	−	0.837832i	$-0.316177\pi$
$733$	−11.3602	−	15.6359i	−0.419598	−	0.577526i	−0.965526	+	0.260305i	$0.916177\pi$
$734$	29.3579	+	21.3297i	1.08362	+	0.787295i
$735$	0.458296	−	9.03080i	0.0169045	−	0.333106i
$736$			0.150999i			0.00556591i
$737$	22.8977	−	3.42261i	0.843446	−	0.126074i
$738$	13.7136	+	12.2659i	0.504806	+	0.451512i
$739$	6.13418	−	1.99312i	0.225649	−	0.0733179i	−0.194010	−	0.981000i	$-0.562149\pi$
$739$	6.13418	−	1.99312i	0.225649	−	0.0733179i	0.419660	+	0.907682i	$0.362149\pi$
$740$	−19.9997	+	27.5272i	−0.735202	+	1.01192i
$741$	−1.60859	−	5.96384i	−0.0590931	−	0.219087i
$742$	12.5991	−	38.7760i	0.462527	−	1.42351i
$743$	−11.1051	+	34.1781i	−0.407408	+	1.25387i	0.511459	+	0.859308i	$0.329105\pi$
$743$	−11.1051	+	34.1781i	−0.407408	+	1.25387i	−0.918867	+	0.394566i	$0.870895\pi$
$744$	7.10683	+	26.3485i	0.260549	+	0.965984i
$745$	−1.65418	+	2.27678i	−0.0606045	+	0.0834149i
$746$	0.790942	−	0.256993i	0.0289585	−	0.00940917i
$747$	13.7345	+	12.2845i	0.502518	+	0.449466i
$748$	−52.4192	−	105.131i	−1.91664	−	3.84396i
$749$		−	20.5937i		−	0.752477i
$750$	0.226367	−	4.46061i	0.00826576	−	0.162878i
$751$	−37.3526	−	27.1383i	−1.36302	−	0.990289i	−0.998247	−	0.0591909i	$-0.981148\pi$
$751$	−37.3526	−	27.1383i	−1.36302	−	0.990289i	−0.364769	−	0.931098i	$-0.618852\pi$
$752$	34.4735	+	47.4488i	1.25712	+	1.73028i
$753$	4.19618	−	5.19942i	0.152917	−	0.189477i
$754$	−7.20098	−	2.33974i	−0.262244	−	0.0852084i
$755$	−17.4341	+	12.6666i	−0.634493	+	0.460986i
$756$	−12.7973	+	83.4801i	−0.465434	+	3.03614i
$757$	5.62110	+	17.3000i	0.204302	+	0.628778i	0.999741	+	0.0227440i	$0.00724027\pi$
$757$	5.62110	+	17.3000i	0.204302	+	0.628778i	−0.795439	+	0.606034i	$0.792760\pi$
$758$	−41.8399			−1.51970
$759$	−0.0739618	−	0.0833165i	−0.00268464	−	0.00302420i
$760$	17.3650			0.629896
$761$	11.4073	+	35.1081i	0.413515	+	1.27267i	0.913573	+	0.406675i	$0.133312\pi$
$761$	11.4073	+	35.1081i	0.413515	+	1.27267i	−0.500058	+	0.865992i	$0.666688\pi$
$762$	35.1989	+	54.0056i	1.27512	+	1.95642i
$763$	−23.9978	+	17.4354i	−0.868777	+	0.631204i
$764$	−109.875	−	35.7005i	−3.97514	−	1.29160i
$765$	11.4927	+	19.7545i	0.415518	+	0.714227i
$766$	−7.59340	−	10.4514i	−0.274361	−	0.377625i
$767$	11.4755	+	8.33743i	0.414356	+	0.301047i
$768$	41.7872	+	2.12062i	1.50787	+	0.0765213i
$769$		−	48.4790i		−	1.74820i	−0.485748	−	0.874099i	$-0.661453\pi$
$769$		−	48.4790i		−	1.74820i	0.485748	−	0.874099i	$-0.338547\pi$
$770$	−21.3239	+	20.9559i	−0.768461	+	0.755199i
$771$	−17.8676	−	6.82480i	−0.643484	−	0.245789i
$772$	31.2849	−	10.1651i	1.12597	−	0.365849i
$773$	8.76284	−	12.0610i	0.315178	−	0.433805i	−0.621810	−	0.783168i	$-0.713602\pi$
$773$	8.76284	−	12.0610i	0.315178	−	0.433805i	0.936987	+	0.349364i	$0.113602\pi$
$774$	−1.16219	+	11.4211i	−0.0417741	+	0.410523i
$775$	0.712666	−	2.19336i	0.0255997	−	0.0787878i
$776$	−27.6998	+	85.2512i	−0.994364	+	3.06034i
$777$	−42.7823	+	11.5394i	−1.53481	+	0.413974i
$778$	3.45549	−	4.75607i	0.123885	−	0.170513i
$779$	5.74932	−	1.86807i	0.205991	−	0.0669304i
$780$	4.03173	−	10.5552i	0.144359	−	0.377937i
$781$	−18.3350	−	3.06780i	−0.656078	−	0.109774i
$782$			0.380981i			0.0136239i
$783$	7.72726	+	7.65090i	0.276150	+	0.273421i
$784$	35.1328	+	25.5254i	1.25474	+	0.911623i
$785$	6.75164	+	9.29283i	0.240976	+	0.331675i
$786$	−57.4687	−	46.3799i	−2.04984	−	1.65432i
$787$	7.66905	+	2.49183i	0.273372	+	0.0888240i	0.442495	−	0.896771i	$-0.354093\pi$
$787$	7.66905	+	2.49183i	0.273372	+	0.0888240i	−0.169123	+	0.985595i	$0.554093\pi$
$788$	−54.2085	+	39.3848i	−1.93110	+	1.40302i
$789$	31.6385	−	20.6208i	1.12636	−	0.734121i
$790$	1.81947	+	5.59976i	0.0647339	+	0.199230i
$791$	24.5803			0.873976
$792$	53.0576	−	42.4935i	1.88532	−	1.50994i
$793$	3.43433			0.121957
$794$	−31.2301	−	96.1164i	−1.10832	−	3.41104i
$795$	6.56300	−	4.27752i	0.232766	−	0.151708i
$796$	−3.47660	+	2.52590i	−0.123225	+	0.0895280i
$797$	−48.0378	−	15.6084i	−1.70158	−	0.552878i	−0.712688	−	0.701481i	$-0.752522\pi$
$797$	−48.0378	−	15.6084i	−1.70158	−	0.552878i	−0.988897	+	0.148603i	$0.952522\pi$
$798$	30.8828	+	24.9239i	1.09324	+	0.882296i
$799$	31.5721	+	43.4553i	1.11694	+	1.53734i
$800$	6.29896	+	4.57646i	0.222702	+	0.161802i
$801$	35.0832	+	15.4811i	1.23960	+	0.546997i
$802$		−	16.4212i		−	0.579851i
$803$	21.1903	+	21.5624i	0.747788	+	0.760920i
$804$	20.0587	−	52.5145i	0.707417	−	1.85204i
$805$	0.0644788	−	0.0209504i	0.00227258	−	0.000738406i
$806$	4.90450	−	6.75047i	0.172754	−	0.237775i
$807$	−20.2631	+	5.46544i	−0.713294	+	0.192393i
$808$	−14.6675	+	45.1421i	−0.516002	+	1.58809i
$809$	4.44405	−	13.6774i	0.156245	−	0.480872i	−0.842040	−	0.539415i	$-0.818646\pi$
$809$	4.44405	−	13.6774i	0.156245	−	0.480872i	0.998285	+	0.0585432i	$0.0186455\pi$
$810$	−17.1436	+	15.6429i	−0.602364	+	0.549636i
$811$	−7.05493	+	9.71028i	−0.247732	+	0.340974i	−0.914715	−	0.404099i	$-0.867585\pi$
$811$	−7.05493	+	9.71028i	−0.247732	+	0.340974i	0.666983	+	0.745073i	$0.267585\pi$
$812$	32.3493	−	10.5109i	1.13524	−	0.368861i
$813$	−0.0481368	−	0.0183866i	−0.00168823	−	0.000644847i
$814$	55.5172	+	28.8988i	1.94588	+	1.01290i
$815$		−	19.2157i		−	0.673096i
$816$	−109.618	−	5.56289i	−3.83739	−	0.194740i
$817$	3.05157	+	2.21710i	0.106761	+	0.0775664i
$818$	51.0132	+	70.2137i	1.78364	+	2.45496i
$819$	12.7188	−	7.39946i	0.444431	−	0.258558i
$820$	10.5167	+	3.41709i	0.367260	+	0.119330i
$821$	8.25167	−	5.99519i	0.287985	−	0.209233i	−0.434408	−	0.900716i	$-0.643042\pi$
$821$	8.25167	−	5.99519i	0.287985	−	0.209233i	0.722393	+	0.691483i	$0.243042\pi$
$822$	−24.5465	−	37.6616i	−0.856156	−	1.31360i
$823$	−1.37274	−	4.22485i	−0.0478506	−	0.147269i	0.924276	−	0.381724i	$-0.124669\pi$
$823$	−1.37274	−	4.22485i	−0.0478506	−	0.147269i	−0.972127	+	0.234455i	$0.924669\pi$
$824$	−82.3230			−2.86786
$825$	−5.71718	+	0.560187i	−0.199047	+	0.0195032i
$826$	−91.1321			−3.17089
$827$	−8.91644	−	27.4420i	−0.310055	−	0.954251i	−0.977742	−	0.209809i	$-0.932716\pi$
$827$	−8.91644	−	27.4420i	−0.310055	−	0.954251i	0.667687	−	0.744442i	$-0.267284\pi$
$828$	−0.264411	+	0.0571178i	−0.00918891	+	0.00198498i
$829$	34.5496	−	25.1018i	1.19996	−	0.871821i	0.205678	−	0.978620i	$-0.434060\pi$
$829$	34.5496	−	25.1018i	1.19996	−	0.871821i	0.994281	+	0.106799i	$0.0340601\pi$
$830$	15.0635	+	4.89442i	0.522861	+	0.169888i
$831$	−17.8423	+	22.1081i	−0.618942	+	0.766922i
$832$	2.83762	+	3.90564i	0.0983766	+	0.135404i
$833$	32.1759	+	23.3771i	1.11483	+	0.809969i
$834$	−2.77381	+	54.6584i	−0.0960491	+	1.89267i
$835$		−	8.16348i		−	0.282509i
$836$	−5.79424	−	38.7642i	−0.200398	−	1.34069i
$837$	−10.6503	+	5.49337i	−0.368127	+	0.189879i
$838$	46.7965	−	15.2051i	1.61656	−	0.525252i
$839$	−26.4152	+	36.3574i	−0.911953	+	1.25520i	0.0545422	+	0.998511i	$0.482630\pi$
$839$	−26.4152	+	36.3574i	−0.911953	+	1.25520i	−0.966495	+	0.256684i	$0.917370\pi$
$840$	10.7726	+	39.9392i	0.371689	+	1.37803i
$841$	−7.60815	+	23.4155i	−0.262350	+	0.807430i
$842$	23.4690	−	72.2301i	0.808795	−	2.48921i
$843$	−0.101910	−	0.377829i	−0.00350995	−	0.0130131i
$844$	−43.9655	+	60.5133i	−1.51336	+	2.08296i
$845$	10.4915	−	3.40888i	0.360917	−	0.117269i
$846$	−36.3629	+	40.6550i	−1.25018	+	1.39775i
$847$	30.7117	+	23.1407i	1.05527	+	0.795124i
$848$			37.6226i			1.29196i
$849$	1.63309	−	32.1804i	0.0560476	−	1.10443i
$850$	15.8927	+	11.5467i	0.545115	+	0.396049i
$851$	−0.0834234	−	0.114822i	−0.00285972	−	0.00393606i
$852$	−28.3480	+	35.1255i	−0.971185	+	1.20338i
$853$	−0.535576	−	0.174019i	−0.0183378	−	0.00595830i	0.299834	−	0.953991i	$-0.403069\pi$
$853$	−0.535576	−	0.174019i	−0.0183378	−	0.00595830i	−0.318172	+	0.948033i	$0.603069\pi$
$854$	−17.8508	+	12.9694i	−0.610842	+	0.443803i
$855$	1.61007	+	7.45335i	0.0550631	+	0.254899i
$856$	12.4369	+	38.2767i	0.425083	+	1.30827i
$857$	1.73333			0.0592093			0.0296047	−	0.999562i	$-0.490575\pi$
$857$	1.73333			0.0592093			0.0296047	+	0.999562i	$0.490575\pi$
$858$	−20.2989	−	4.46443i	−0.692992	−	0.152413i
$859$	−1.55282			−0.0529816			−0.0264908	−	0.999649i	$-0.508433\pi$
$859$	−1.55282			−0.0529816			−0.0264908	+	0.999649i	$0.508433\pi$
$860$	2.13212	+	6.56200i	0.0727048	+	0.223762i
$861$	7.86317	+	12.0644i	0.267976	+	0.411155i
$862$	27.3346	−	19.8598i	0.931021	−	0.676426i
$863$	45.5472	+	14.7992i	1.55044	+	0.503770i	0.954235	−	0.299059i	$-0.0966727\pi$
$863$	45.5472	+	14.7992i	1.55044	+	0.503770i	0.596210	+	0.802829i	$0.296673\pi$
$864$	−6.52722	−	39.9270i	−0.222060	−	1.35834i
$865$	−11.6292	−	16.0063i	−0.395405	−	0.544229i
$866$	2.69379	+	1.95716i	0.0915389	+	0.0665069i
$867$	−70.9849	−	3.60235i	−2.41077	−	0.122342i
$868$			37.4843i			1.27230i
$869$	6.77726	−	3.37921i	0.229903	−	0.114632i
$870$	8.73157	+	3.33516i	0.296028	+	0.113073i
$871$	−9.31495	+	3.02661i	−0.315625	+	0.102553i
$872$	34.0742	−	46.8992i	1.15390	−	1.58821i
$873$	−39.1595	−	3.98480i	−1.32535	−	0.134865i
$874$	−0.0392800	+	0.120891i	−0.00132867	+	0.00408921i
$875$	1.08026	−	3.32471i	0.0365195	−	0.112396i
$876$	70.8725	−	19.1160i	2.39456	−	0.645870i
$877$	5.18274	−	7.13343i	0.175009	−	0.240879i	−0.712497	−	0.701675i	$-0.752436\pi$
$877$	5.18274	−	7.13343i	0.175009	−	0.240879i	0.887506	+	0.460796i	$0.152436\pi$
$878$	−76.9375	+	24.9985i	−2.59652	+	0.843659i
$879$	6.83418	−	17.8921i	0.230511	−	0.603486i
$880$	12.7384	−	24.4715i	0.429410	−	0.824935i
$881$		−	50.3043i		−	1.69479i	−0.530960	−	0.847397i	$-0.678169\pi$
$881$		−	50.3043i		−	1.69479i	0.530960	−	0.847397i	$-0.321831\pi$
$882$	−16.3045	+	36.9492i	−0.549000	+	1.24414i
$883$	37.6350	+	27.3434i	1.26652	+	0.920180i	0.999058	−	0.0433891i	$-0.0138155\pi$
$883$	37.6350	+	27.3434i	1.26652	+	0.920180i	0.267460	+	0.963569i	$0.413816\pi$
$884$	29.2110	+	40.2055i	0.982472	+	1.35226i
$885$	−13.6263	−	10.9970i	−0.458042	−	0.369661i
$886$	−24.7234	−	8.03313i	−0.830600	−	0.269878i
$887$	20.7629	−	15.0852i	0.697151	−	0.506510i	−0.181852	−	0.983326i	$-0.558209\pi$
$887$	20.7629	−	15.0852i	0.697151	−	0.506510i	0.879003	+	0.476816i	$0.158209\pi$
$888$	72.5490	−	47.2848i	2.43458	−	1.58677i
$889$	15.5917	+	47.9862i	0.522928	+	1.60941i
$890$	32.9611			1.10486
$891$	23.1583	+	18.8332i	0.775834	+	0.630938i
$892$	109.870			3.67871
$893$	5.53800	+	17.0442i	0.185322	+	0.570363i
$894$	10.5303	−	6.86326i	0.352185	−	0.229542i
$895$	3.29734	−	2.39565i	0.110218	−	0.0800779i
$896$	22.2736	+	7.23712i	0.744107	+	0.241775i
$897$	0.0366766	+	0.0295997i	0.00122460	+	0.000988306i
$898$	4.44432	+	6.11708i	0.148309	+	0.204130i
$899$	3.90458	+	2.83684i	0.130225	+	0.0946140i
$900$	−5.63104	+	12.7611i	−0.187701	+	0.425369i
$901$			34.4561i			1.14790i
$902$	3.35671	−	20.0617i	0.111766	−	0.667983i
$903$	−3.20620	+	8.39395i	−0.106696	+	0.279333i
$904$	−45.6866	+	14.8445i	−1.51951	+	0.493719i
$905$	3.41722	−	4.70340i	0.113592	−	0.156346i
$906$	92.9277	−	25.0649i	3.08732	−	0.832724i
$907$	1.82886	−	5.62867i	0.0607265	−	0.186897i	−0.916091	−	0.400970i	$-0.868673\pi$
$907$	1.82886	−	5.62867i	0.0607265	−	0.186897i	0.976818	+	0.214073i	$0.0686731\pi$
$908$	−17.4122	+	53.5891i	−0.577843	+	1.77842i
$909$	−20.7357	−	2.11002i	−0.687758	−	0.0699850i
$910$	7.43427	−	10.2324i	0.246444	−	0.339201i
$911$	20.9569	−	6.80930i	0.694332	−	0.225602i	0.0594726	−	0.998230i	$-0.481058\pi$
$911$	20.9569	−	6.80930i	0.694332	−	0.225602i	0.634859	+	0.772628i	$0.281058\pi$
$912$	−34.2099	−	13.0670i	−1.13280	−	0.432692i
$913$	3.36181	−	20.0922i	0.111260	−	0.664955i
$914$			92.6275i			3.06385i
$915$	−4.23412	−	0.214874i	−0.139976	−	0.00710350i
$916$	−29.5615	−	21.4777i	−0.976739	−	0.709642i
$917$	−33.9751	−	46.7627i	−1.12196	−	1.54424i
$918$	−16.4686	−	100.738i	−0.543545	−	3.32486i
$919$	7.33659	+	2.38380i	0.242012	+	0.0786344i	0.427511	−	0.904010i	$-0.359390\pi$
$919$	7.33659	+	2.38380i	0.242012	+	0.0786344i	−0.185500	+	0.982644i	$0.559390\pi$
$920$	−0.107192	+	0.0778796i	−0.00353402	+	0.00256761i
$921$	3.58125	+	5.49471i	0.118006	+	0.181057i
$922$	26.3386	+	81.0620i	0.867417	+	2.66963i
$923$	7.86433			0.258857
$924$	85.5623	−	37.3744i	2.81479	−	1.22953i
$925$	−7.31822			−0.240622
$926$	−18.8873	−	58.1293i	−0.620676	−	1.91025i
$927$	−7.63290	−	35.3343i	−0.250697	−	1.16053i
$928$	−13.1820	+	9.57730i	−0.432721	+	0.314390i
$929$	32.4345	+	10.5386i	1.06414	+	0.345761i	0.788204	−	0.615414i	$-0.211011\pi$
$929$	32.4345	+	10.5386i	1.06414	+	0.345761i	0.275939	+	0.961175i	$0.411011\pi$
$930$	−6.46902	+	8.01567i	−0.212128	+	0.262844i
$931$	7.79968	+	10.7353i	0.255624	+	0.351836i
$932$	101.448	+	73.7065i	3.32305	+	2.41434i
$933$	0.667828	−	13.1597i	0.0218637	−	0.430828i
$934$		−	58.9594i		−	1.92921i
$935$	11.6663	−	22.4119i	0.381527	−	0.732948i
$936$	−19.1713	+	21.4342i	−0.626635	+	0.700599i
$937$	−43.3816	+	14.0955i	−1.41721	+	0.460481i	−0.914716	−	0.404098i	$-0.867586\pi$
$937$	−43.3816	+	14.0955i	−1.41721	+	0.460481i	−0.502498	+	0.864578i	$0.667586\pi$
$938$	36.9871	−	50.9084i	1.20767	−	1.66222i
$939$	4.29564	+	15.9261i	0.140183	+	0.519728i
$940$	−10.1302	+	31.1775i	−0.330410	+	1.01690i
$941$	3.28908	−	10.1227i	0.107221	−	0.329992i	−0.883024	−	0.469327i	$-0.844497\pi$
$941$	3.28908	−	10.1227i	0.107221	−	0.329992i	0.990245	+	0.139335i	$0.0444965\pi$
$942$	−13.3602	−	49.5329i	−0.435299	−	1.61387i
$943$	−0.0271118	+	0.0373162i	−0.000882882	+	0.00121518i
$944$	79.9778	−	25.9863i	2.60305	−	0.845784i
$945$	−16.1437	+	8.32689i	−0.525156	+	0.270874i
$946$	11.3581	−	5.66327i	0.369284	−	0.184129i
$947$		−	34.5462i		−	1.12260i	−0.827612	−	0.561301i	$-0.810301\pi$
$947$		−	34.5462i		−	1.12260i	0.827612	−	0.561301i	$-0.189699\pi$
$948$	0.931947	−	18.3642i	0.0302682	−	0.596441i
$949$	−10.3468	−	7.51740i	−0.335872	−	0.244025i
$950$	3.85251	+	5.30253i	0.124992	+	0.172037i
$951$	1.87428	−	2.32239i	0.0607775	−	0.0753086i
$952$	−173.039	−	56.2237i	−5.60822	−	1.82222i
$953$	14.5214	−	10.5504i	0.470394	−	0.341761i	−0.327201	−	0.944955i	$-0.606105\pi$
$953$	14.5214	−	10.5504i	0.470394	−	0.341761i	0.797595	+	0.603193i	$0.206105\pi$
$954$	−34.2001	+	7.38787i	−1.10727	+	0.239191i
$955$	−7.67850	−	23.6320i	−0.248471	−	0.764714i
$956$	2.65145			0.0857542
$957$	2.58230	−	11.7412i	0.0834738	−	0.379539i
$958$	−48.9745			−1.58230
$959$	−10.8731	−	33.4639i	−0.351110	−	1.08061i
$960$	−3.25408	−	4.99273i	−0.105025	−	0.161140i
$961$	20.7766	−	15.0951i	0.670213	−	0.486938i
$962$	−25.1817	−	8.18202i	−0.811890	−	0.263799i
$963$	−15.2759	+	8.88708i	−0.492258	+	0.286382i
$964$	−36.8008	−	50.6519i	−1.18527	−	1.63139i
$965$	5.72385	+	4.15862i	0.184257	+	0.133871i
$966$	−0.302416	−	0.0153470i	−0.00973007	−	0.000493782i
$967$			24.1698i			0.777247i	0.921397	+	0.388623i	$0.127049\pi$
$967$			24.1698i			0.777247i	−0.921397	+	0.388623i	$0.872951\pi$
$968$	−71.0577	−	24.4635i	−2.28388	−	0.786287i
$969$	−31.3307	−	11.9673i	−1.00649	−	0.384444i
$970$	−32.1774	+	10.4551i	−1.03315	+	0.335692i
$971$	−4.74206	+	6.52688i	−0.152180	+	0.209458i	−0.878300	−	0.478111i	$-0.841322\pi$
$971$	−4.74206	+	6.52688i	−0.152180	+	0.209458i	0.726120	+	0.687568i	$0.241322\pi$
$972$	67.4460	−	26.5326i	2.16333	−	0.851034i
$973$	−13.2371	+	40.7396i	−0.424362	+	1.30605i
$974$	−19.8898	+	61.2146i	−0.637311	+	1.96144i
$975$	2.34635	−	0.632866i	0.0751432	−	0.0202679i
$976$	11.9677	−	16.4721i	0.383077	−	0.527260i
$977$	−22.2538	+	7.23069i	−0.711962	+	0.231330i	−0.642535	−	0.766257i	$-0.722117\pi$
$977$	−22.2538	+	7.23069i	−0.711962	+	0.231330i	−0.0694271	+	0.997587i	$0.522117\pi$
$978$	−30.6239	+	80.1743i	−0.979243	+	2.56369i
$979$	−6.26722	−	41.9284i	−0.200301	−	1.34004i
$980$			24.2729i			0.775370i
$981$	23.2892	+	10.2768i	0.743567	+	0.328112i
$982$	−10.0740	−	7.31920i	−0.321475	−	0.233565i
$983$	−23.6655	−	32.5727i	−0.754812	−	1.03891i	−0.997628	−	0.0688367i	$-0.978071\pi$
$983$	−23.6655	−	32.5727i	−0.754812	−	1.03891i	0.242816	−	0.970072i	$-0.421929\pi$
$984$	−21.9009	−	17.6751i	−0.698175	−	0.563460i
$985$	−13.7062	−	4.45342i	−0.436716	−	0.141898i
$986$	−33.2591	+	24.1642i	−1.05919	+	0.769544i
$987$	−35.7658	+	23.3109i	−1.13844	+	0.741993i
$988$	5.12384	+	15.7696i	0.163011	+	0.501696i
$989$	−0.0287803			−0.000915160
$990$	24.7468	+	6.77414i	0.786504	+	0.215296i
$991$	3.96518			0.125958			0.0629791	−	0.998015i	$-0.479940\pi$
$991$	3.96518			0.125958			0.0629791	+	0.998015i	$0.479940\pi$
$992$	−5.54878	−	17.0774i	−0.176174	−	0.542208i
$993$	17.7494	−	11.5684i	0.563259	−	0.367112i
$994$	−40.8768	+	29.6987i	−1.29653	+	0.941987i
$995$	−0.879033	−	0.285615i	−0.0278672	−	0.00905460i
$996$	−38.4919	−	31.0648i	−1.21966	−	0.984326i
$997$	24.2372	+	33.3596i	0.767599	+	1.05651i	0.996544	+	0.0830695i	$0.0264723\pi$
$997$	24.2372	+	33.3596i	0.767599	+	1.05651i	−0.228945	+	0.973439i	$0.573528\pi$
$998$	20.3184	+	14.7622i	0.643168	+	0.467289i
$999$	27.0221	+	26.7550i	0.854940	+	0.846491i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	165.2.p.a.116.4	yes	16
3.2	odd	2	inner	165.2.p.a.116.1	yes	16
5.2	odd	4		825.2.bs.e.149.2		16
5.3	odd	4		825.2.bs.f.149.3		16
5.4	even	2		825.2.bi.d.776.1		16
11.2	odd	10	inner	165.2.p.a.101.1	✓	16
15.2	even	4		825.2.bs.f.149.4		16
15.8	even	4		825.2.bs.e.149.1		16
15.14	odd	2		825.2.bi.d.776.4		16
33.2	even	10	inner	165.2.p.a.101.4	yes	16
55.2	even	20		825.2.bs.e.299.1		16
55.13	even	20		825.2.bs.f.299.4		16
55.24	odd	10		825.2.bi.d.101.4		16
165.2	odd	20		825.2.bs.f.299.3		16
165.68	odd	20		825.2.bs.e.299.2		16
165.134	even	10		825.2.bi.d.101.1		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
165.2.p.a.101.1	✓	16	11.2	odd	10	inner
165.2.p.a.101.4	yes	16	33.2	even	10	inner
165.2.p.a.116.1	yes	16	3.2	odd	2	inner
165.2.p.a.116.4	yes	16	1.1	even	1	trivial
825.2.bi.d.101.1		16	165.134	even	10
825.2.bi.d.101.4		16	55.24	odd	10
825.2.bi.d.776.1		16	5.4	even	2
825.2.bi.d.776.4		16	15.14	odd	2
825.2.bs.e.149.1		16	15.8	even	4
825.2.bs.e.149.2		16	5.2	odd	4
825.2.bs.e.299.1		16	55.2	even	20
825.2.bs.e.299.2		16	165.68	odd	20
825.2.bs.f.149.3		16	5.3	odd	4
825.2.bs.f.149.4		16	15.2	even	4
825.2.bs.f.299.3		16	165.2	odd	20
825.2.bs.f.299.4		16	55.13	even	20

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:	\( N \)	\(=\)	\( 165 = 3 \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	165.p (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.796845 + 2.45244i) q^{2} +(1.45106 - 0.945746i) q^{3} +(-3.76145 + 2.73286i) q^{4} +(-0.951057 - 0.309017i) q^{5} +(3.47565 + 2.80501i) q^{6} +(2.05478 + 2.82816i) q^{7} +(-5.52712 - 4.01569i) q^{8} +(1.21113 - 2.74466i) q^{9} +O(q^{10})\)	\(q+(0.796845 + 2.45244i) q^{2} +(1.45106 - 0.945746i) q^{3} +(-3.76145 + 2.73286i) q^{4} +(-0.951057 - 0.309017i) q^{5} +(3.47565 + 2.80501i) q^{6} +(2.05478 + 2.82816i) q^{7} +(-5.52712 - 4.01569i) q^{8} +(1.21113 - 2.74466i) q^{9} -2.57865i q^{10} +(-3.28018 + 0.490303i) q^{11} +(-2.87350 + 7.52291i) q^{12} +(1.33440 - 0.433574i) q^{13} +(-5.29855 + 7.29283i) q^{14} +(-1.67229 + 0.451057i) q^{15} +(2.57047 - 7.91110i) q^{16} +(2.35413 - 7.24527i) q^{17} +(7.69619 + 0.783151i) q^{18} +(1.49401 - 2.05632i) q^{19} +(4.42186 - 1.43675i) q^{20} +(5.65633 + 2.16053i) q^{21} +(-3.81624 - 7.65375i) q^{22} +0.0193938i q^{23} +(-11.8180 - 0.599740i) q^{24} +(0.809017 + 0.587785i) q^{25} +(2.12663 + 2.92705i) q^{26} +(-0.838333 - 5.12808i) q^{27} +(-15.4579 - 5.02259i) q^{28} +(-1.69305 + 1.23007i) q^{29} +(-2.43874 - 3.74176i) q^{30} +(-0.712666 - 2.19336i) q^{31} +7.78595 q^{32} +(-4.29603 + 3.81368i) q^{33} +19.6445 q^{34} +(-1.08026 - 3.32471i) q^{35} +(2.94515 + 13.6338i) q^{36} +(-5.92057 + 4.30154i) q^{37} +(6.23350 + 2.02539i) q^{38} +(1.52624 - 1.89115i) q^{39} +(4.01569 + 5.52712i) q^{40} +(1.92413 + 1.39796i) q^{41} +(-0.791335 + 15.5934i) q^{42} +1.48399i q^{43} +(10.9983 - 10.8085i) q^{44} +(-2.00000 + 2.23607i) q^{45} +(-0.0475622 + 0.0154539i) q^{46} +(-4.14434 + 5.70420i) q^{47} +(-3.75199 - 13.9105i) q^{48} +(-1.61327 + 4.96513i) q^{49} +(-0.796845 + 2.45244i) q^{50} +(-3.43621 - 12.7397i) q^{51} +(-3.83440 + 5.27760i) q^{52} +(-4.30154 + 1.39766i) q^{53} +(11.9083 - 6.14225i) q^{54} +(3.27115 + 0.547326i) q^{55} -23.8830i q^{56} +(0.223129 - 4.39679i) q^{57} +(-4.36578 - 3.17193i) q^{58} +(5.94225 + 8.17881i) q^{59} +(5.05756 - 6.26675i) q^{60} +(2.32792 + 0.756387i) q^{61} +(4.81120 - 3.49554i) q^{62} +(10.2510 - 2.21440i) q^{63} +(1.06325 + 3.27235i) q^{64} -1.40308 q^{65} +(-12.7761 - 7.49683i) q^{66} -6.98061 q^{67} +(10.9453 + 33.6863i) q^{68} +(0.0183416 + 0.0281415i) q^{69} +(7.29283 - 5.29855i) q^{70} +(5.33073 + 1.73206i) q^{71} +(-17.7158 + 10.3066i) q^{72} +(-5.35781 - 7.37439i) q^{73} +(-15.2670 - 11.0922i) q^{74} +(1.72982 + 0.0877853i) q^{75} +11.8177i q^{76} +(-8.12672 - 8.26943i) q^{77} +(5.85410 + 2.23607i) q^{78} +(-2.17159 + 0.705592i) q^{79} +(-4.88933 + 6.72958i) q^{80} +(-6.06633 - 6.64828i) q^{81} +(-1.89518 + 5.83276i) q^{82} +(-1.89806 + 5.84162i) q^{83} +(-27.1804 + 7.33122i) q^{84} +(-4.47782 + 6.16320i) q^{85} +(-3.63940 + 1.18251i) q^{86} +(-1.29338 + 3.38611i) q^{87} +(20.0989 + 10.4622i) q^{88} +12.7823i q^{89} +(-7.07751 - 3.12308i) q^{90} +(3.96813 + 2.88301i) q^{91} +(-0.0530006 - 0.0729490i) q^{92} +(-3.10848 - 2.50869i) q^{93} +(-17.2916 - 5.61838i) q^{94} +(-2.05632 + 1.49401i) q^{95} +(11.2978 - 7.36353i) q^{96} +(-4.05448 - 12.4784i) q^{97} -13.4622 q^{98} +(-2.62701 + 9.59681i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q + 8 q^{3} - 12 q^{4} + 10 q^{6} - 10 q^{7} - 20 q^{9}+O(q^{10}) \) 16 * q + 8 * q^3 - 12 * q^4 + 10 * q^6 - 10 * q^7 - 20 * q^9	\( 16 q + 8 q^{3} - 12 q^{4} + 10 q^{6} - 10 q^{7} - 20 q^{9} + 4 q^{12} - 12 q^{15} - 16 q^{16} + 20 q^{18} + 40 q^{19} + 30 q^{22} - 70 q^{24} + 4 q^{25} - 4 q^{27} - 110 q^{28} - 10 q^{30} + 10 q^{31} + 12 q^{33} + 100 q^{34} + 40 q^{36} - 2 q^{37} - 10 q^{39} + 50 q^{40} - 10 q^{42} - 32 q^{45} - 40 q^{46} + 22 q^{48} + 42 q^{49} - 40 q^{52} + 6 q^{55} + 40 q^{57} - 20 q^{58} + 14 q^{60} - 50 q^{61} + 70 q^{63} + 42 q^{64} + 30 q^{66} - 108 q^{67} - 12 q^{69} + 40 q^{70} - 40 q^{72} - 50 q^{73} + 12 q^{75} + 40 q^{78} - 40 q^{79} - 4 q^{81} + 50 q^{82} - 150 q^{84} - 20 q^{85} + 70 q^{88} - 20 q^{90} + 10 q^{91} - 50 q^{94} + 40 q^{96} - 58 q^{97} + 12 q^{99}+O(q^{100}) \) 16 * q + 8 * q^3 - 12 * q^4 + 10 * q^6 - 10 * q^7 - 20 * q^9 + 4 * q^12 - 12 * q^15 - 16 * q^16 + 20 * q^18 + 40 * q^19 + 30 * q^22 - 70 * q^24 + 4 * q^25 - 4 * q^27 - 110 * q^28 - 10 * q^30 + 10 * q^31 + 12 * q^33 + 100 * q^34 + 40 * q^36 - 2 * q^37 - 10 * q^39 + 50 * q^40 - 10 * q^42 - 32 * q^45 - 40 * q^46 + 22 * q^48 + 42 * q^49 - 40 * q^52 + 6 * q^55 + 40 * q^57 - 20 * q^58 + 14 * q^60 - 50 * q^61 + 70 * q^63 + 42 * q^64 + 30 * q^66 - 108 * q^67 - 12 * q^69 + 40 * q^70 - 40 * q^72 - 50 * q^73 + 12 * q^75 + 40 * q^78 - 40 * q^79 - 4 * q^81 + 50 * q^82 - 150 * q^84 - 20 * q^85 + 70 * q^88 - 20 * q^90 + 10 * q^91 - 50 * q^94 + 40 * q^96 - 58 * q^97 + 12 * q^99

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