LMFDB - Embedded newform 165.2.p.a.101.1

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			101.1
Root			$-1.28932 - 0.418926i$ of defining polynomial
Character	$\chi$	$=$	165.101
Dual form			165.2.p.a.116.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.796845 + 2.45244i) q^{2} +(-0.451057 - 1.67229i) q^{3} +(-3.76145 - 2.73286i) q^{4} +(0.951057 - 0.309017i) q^{5} +(4.46061 + 0.226367i) q^{6} +(2.05478 - 2.82816i) q^{7} +(5.52712 - 4.01569i) q^{8} +(-2.59310 + 1.50859i) q^{9} +O(q^{10})$	\(q+(-0.796845 + 2.45244i) q^{2} +(-0.451057 - 1.67229i) q^{3} +(-3.76145 - 2.73286i) q^{4} +(0.951057 - 0.309017i) q^{5} +(4.46061 + 0.226367i) q^{6} +(2.05478 - 2.82816i) q^{7} +(5.52712 - 4.01569i) q^{8} +(-2.59310 + 1.50859i) 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} +(-0.945746 - 1.45106i) q^{15} +(2.57047 + 7.91110i) q^{16} +(-2.35413 - 7.24527i) q^{17} +(-1.63343 - 7.56152i) 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} +(-9.20844 - 7.43164i) q^{24} +(0.809017 - 0.587785i) q^{25} +(-2.12663 + 2.92705i) q^{26} +(3.69244 + 3.65594i) q^{27} +(-15.4579 + 5.02259i) q^{28} +(1.69305 + 1.23007i) q^{29} +(4.31224 - 1.16311i) q^{30} +(-0.712666 + 2.19336i) q^{31} -7.78595 q^{32} +(-0.659620 - 5.70657i) q^{33} +19.6445 q^{34} +(1.08026 - 3.32471i) q^{35} +(13.8766 + 1.41206i) q^{36} +(-5.92057 - 4.30154i) q^{37} +(-6.23350 + 2.02539i) q^{38} +(0.123169 - 2.42707i) q^{39} +(4.01569 - 5.52712i) q^{40} +(-1.92413 + 1.39796i) q^{41} +(9.80577 - 12.1502i) 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} +(12.0702 - 7.86692i) q^{48} +(-1.61327 - 4.96513i) q^{49} +(0.796845 + 2.45244i) q^{50} +(-11.0543 + 7.20481i) 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} +(2.76489 - 3.42593i) q^{57} +(-4.36578 + 3.17193i) q^{58} +(-5.94225 + 8.17881i) q^{59} +(-0.408150 + 8.04267i) q^{60} +(2.32792 - 0.756387i) q^{61} +(-4.81120 - 3.49554i) q^{62} +(-1.06170 + 10.4335i) q^{63} +(1.06325 - 3.27235i) q^{64} +1.40308 q^{65} +(14.5206 + 2.92957i) q^{66} -6.98061 q^{67} +(-10.9453 + 33.6863i) q^{68} +(0.0324321 - 0.00874771i) q^{69} +(7.29283 + 5.29855i) q^{70} +(-5.33073 + 1.73206i) q^{71} +(-8.27432 + 18.7512i) q^{72} +(-5.35781 + 7.37439i) q^{73} +(15.2670 - 11.0922i) q^{74} +(-1.34786 - 1.08779i) 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} +(4.44829 - 7.82385i) q^{81} +(-1.89518 - 5.83276i) q^{82} +(1.89806 + 5.84162i) q^{83} +(15.3716 + 23.5847i) 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} +(-3.89013 - 6.68668i) q^{90} +(3.96813 - 2.88301i) q^{91} +(0.0530006 - 0.0729490i) q^{92} +(3.98938 + 0.202453i) q^{93} +(-17.2916 + 5.61838i) q^{94} +(2.05632 + 1.49401i) q^{95} +(3.51190 + 13.0203i) q^{96} +(-4.05448 + 12.4784i) q^{97} +13.4622 q^{98} +(-9.24550 + 3.67706i) 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 $\left(\mathbb{Z}/165\mathbb{Z}\right)^\times$.

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

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	0.109044	+	0.994037i	$0.465221\pi$
$2$	−0.796845	+	2.45244i	−0.563455	+	1.73414i	−0.672499	+	0.740098i	$0.734779\pi$
$3$	−0.451057	−	1.67229i	−0.260418	−	0.965496i
$3$	−0.451057	−	1.67229i	−0.260418	−	0.965496i
$4$	−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
$6$	4.46061	+	0.226367i	1.82103	+	0.0924140i
$7$	2.05478	−	2.82816i	0.776635	−	1.06895i	−0.219011	−	0.975722i	$-0.570283\pi$
$7$	2.05478	−	2.82816i	0.776635	−	1.06895i	0.995645	−	0.0932233i	$-0.0297170\pi$
$8$	5.52712	−	4.01569i	1.95413	−	1.41976i
$9$	−2.59310	+	1.50859i	−0.864365	+	0.502864i
$10$			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	0.488160	−	0.872754i	$-0.337668\pi$
$13$	1.33440	+	0.433574i	0.370097	+	0.120252i	−0.118063	+	0.993006i	$0.537668\pi$
$14$	5.29855	+	7.29283i	1.41610	+	1.94909i
$15$	−0.945746	−	1.45106i	−0.244190	−	0.374661i
$16$	2.57047	+	7.91110i	0.642618	+	1.97777i
$17$	−2.35413	−	7.24527i	−0.570961	−	1.75724i	−0.649538	−	0.760329i	$-0.725038\pi$
$17$	−2.35413	−	7.24527i	−0.570961	−	1.75724i	0.0785777	−	0.996908i	$-0.474962\pi$
$18$	−1.63343	−	7.56152i	−0.385004	−	1.78227i
$19$	1.49401	+	2.05632i	0.342749	+	0.471753i	0.945242	−	0.326371i	$-0.105826\pi$
$19$	1.49401	+	2.05632i	0.342749	+	0.471753i	−0.602493	+	0.798124i	$0.705826\pi$
$20$	−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	$0.999356\pi$
$24$	−9.20844	−	7.43164i	−1.87966	−	1.51698i
$25$	0.809017	−	0.587785i	0.161803	−	0.117557i
$26$	−2.12663	+	2.92705i	−0.417066	+	0.574042i
$27$	3.69244	+	3.65594i	0.710610	+	0.703587i
$28$	−15.4579	+	5.02259i	−2.92128	+	0.949180i
$29$	1.69305	+	1.23007i	0.314392	+	0.228419i	0.733779	−	0.679388i	$-0.237755\pi$
$29$	1.69305	+	1.23007i	0.314392	+	0.228419i	−0.419387	+	0.907808i	$0.637755\pi$
$30$	4.31224	−	1.16311i	0.787304	−	0.212355i
$31$	−0.712666	+	2.19336i	−0.127999	+	0.393939i	−0.994435	−	0.105347i	$-0.966405\pi$
$31$	−0.712666	+	2.19336i	−0.127999	+	0.393939i	0.866437	+	0.499287i	$0.166405\pi$
$32$	−7.78595			−1.37637
$33$	−0.659620	−	5.70657i	−0.114825	−	0.993386i
$34$	19.6445			3.36900
$35$	1.08026	−	3.32471i	0.182598	−	0.561978i
$36$	13.8766	+	1.41206i	2.31276	+	0.235343i
$37$	−5.92057	−	4.30154i	−0.973335	−	0.707169i	−0.0171258	−	0.999853i	$-0.505452\pi$
$37$	−5.92057	−	4.30154i	−0.973335	−	0.707169i	−0.956209	+	0.292684i	$0.905452\pi$
$38$	−6.23350	+	2.02539i	−1.01121	+	0.328561i
$39$	0.123169	−	2.42707i	0.0197229	−	0.388643i
$40$	4.01569	−	5.52712i	0.634936	−	0.873915i
$41$	−1.92413	+	1.39796i	−0.300498	+	0.218325i	−0.727809	−	0.685780i	$-0.759461\pi$
$41$	−1.92413	+	1.39796i	−0.300498	+	0.218325i	0.427311	+	0.904105i	$0.359461\pi$
$42$	9.80577	−	12.1502i	1.51306	−	1.87482i
$43$		−	1.48399i		−	0.226307i	−0.993578	−	0.113153i	$-0.963905\pi$
$43$		−	1.48399i		−	0.226307i	0.993578	−	0.113153i	$-0.0360951\pi$
$44$	−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	$-0.0280776\pi$
$47$	4.14434	+	5.70420i	0.604514	+	0.832042i	−0.391598	+	0.920136i	$0.628078\pi$
$48$	12.0702	−	7.86692i	1.74218	−	1.13549i
$49$	−1.61327	−	4.96513i	−0.230467	−	0.709304i
$50$	0.796845	+	2.45244i	0.112691	+	0.346827i
$51$	−11.0543	+	7.20481i	−1.54792	+	1.00888i
$52$	−3.83440	−	5.27760i	−0.531736	−	0.731872i
$53$	4.30154	+	1.39766i	0.590862	+	0.191983i	0.589161	−	0.808016i	$-0.299458\pi$
$53$	4.30154	+	1.39766i	0.590862	+	0.191983i	0.00170144	+	0.999999i	$0.499458\pi$
$54$	−11.9083	+	6.14225i	−1.62051	+	0.835854i
$55$	3.27115	−	0.547326i	0.441082	−	0.0738015i
$56$		−	23.8830i		−	3.19150i
$57$	2.76489	−	3.42593i	0.366218	−	0.453775i
$58$	−4.36578	+	3.17193i	−0.573255	+	0.416494i
$59$	−5.94225	+	8.17881i	−0.773615	+	1.06479i	0.222342	+	0.974969i	$0.428630\pi$
$59$	−5.94225	+	8.17881i	−0.773615	+	1.06479i	−0.995958	+	0.0898216i	$0.971370\pi$
$60$	−0.408150	+	8.04267i	−0.0526919	+	1.03830i
$61$	2.32792	−	0.756387i	0.298059	−	0.0968454i	−0.156170	−	0.987730i	$-0.549915\pi$
$61$	2.32792	−	0.756387i	0.298059	−	0.0968454i	0.454229	+	0.890885i	$0.349915\pi$
$62$	−4.81120	−	3.49554i	−0.611022	−	0.443934i
$63$	−1.06170	+	10.4335i	−0.133761	+	1.31450i
$64$	1.06325	−	3.27235i	0.132907	−	0.409044i
$65$	1.40308			0.174030
$66$	14.5206	+	2.92957i	1.78736	+	0.360606i
$67$	−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
$69$	0.0324321	−	0.00874771i	0.00390436	−	0.00105310i
$70$	7.29283	+	5.29855i	0.871660	+	0.633298i
$71$	−5.33073	+	1.73206i	−0.632641	+	0.205558i	−0.607745	−	0.794132i	$-0.707926\pi$
$71$	−5.33073	+	1.73206i	−0.632641	+	0.205558i	−0.0248966	+	0.999690i	$0.507926\pi$
$72$	−8.27432	+	18.7512i	−0.975138	+	2.20986i
$73$	−5.35781	+	7.37439i	−0.627084	+	0.863107i	−0.997845	−	0.0656217i	$-0.979097\pi$
$73$	−5.35781	+	7.37439i	−0.627084	+	0.863107i	0.370761	+	0.928728i	$0.379097\pi$
$74$	15.2670	−	11.0922i	1.77476	−	1.28944i
$75$	−1.34786	−	1.08779i	−0.155637	−	0.125607i
$76$		−	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	0.184296	−	0.982871i	$-0.441000\pi$
$79$	−2.17159	−	0.705592i	−0.244323	−	0.0793853i	−0.428619	+	0.903486i	$0.641000\pi$
$80$	4.88933	+	6.72958i	0.546643	+	0.752390i
$81$	4.44829	−	7.82385i	0.494255	−	0.869317i
$82$	−1.89518	−	5.83276i	−0.209287	−	0.644121i
$83$	1.89806	+	5.84162i	0.208339	+	0.641201i	0.999560	+	0.0296708i	$0.00944590\pi$
$83$	1.89806	+	5.84162i	0.208339	+	0.641201i	−0.791221	+	0.611531i	$0.790554\pi$
$84$	15.3716	+	23.5847i	1.67718	+	2.57330i
$85$	−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	$0.763080\pi$
$90$	−3.89013	−	6.68668i	−0.410055	−	0.704838i
$91$	3.96813	−	2.88301i	0.415973	−	0.302222i
$92$	0.0530006	−	0.0729490i	0.00552569	−	0.00760546i
$93$	3.98938	+	0.202453i	0.413680	+	0.0209934i
$94$	−17.2916	+	5.61838i	−1.78349	+	0.579491i
$95$	2.05632	+	1.49401i	0.210974	+	0.153282i
$96$	3.51190	+	13.0203i	0.358432	+	1.32888i
$97$	−4.05448	+	12.4784i	−0.411670	+	1.26699i	0.503526	+	0.863980i	$0.332036\pi$
$97$	−4.05448	+	12.4784i	−0.411670	+	1.26699i	−0.915196	+	0.403009i	$0.867964\pi$
$98$	13.4622			1.35989
$99$	−9.24550	+	3.67706i	−0.929208	+	0.369558i
$100$	−4.64941			−0.464941
$101$	2.14692	−	6.60754i	0.213627	−	0.657475i	−0.785622	−	0.618707i	$-0.787657\pi$
$101$	2.14692	−	6.60754i	0.213627	−	0.657475i	0.999248	−	0.0387677i	$-0.0123432\pi$
$102$	−8.86076	−	32.8512i	−0.877346	−	3.25275i
$103$	9.74848	+	7.08269i	0.960547	+	0.697878i	0.953278	−	0.302096i	$-0.0976862\pi$
$103$	9.74848	+	7.08269i	0.960547	+	0.697878i	0.00726903	+	0.999974i	$0.497686\pi$
$104$	9.11651	−	2.96213i	0.893948	−	0.290461i
$105$	−6.04713	−	0.306880i	−0.590139	−	0.0299484i
$106$	−6.85533	+	9.43555i	−0.665848	+	0.916462i
$107$	4.76590	−	3.46263i	0.460737	−	0.334745i	−0.333084	−	0.942897i	$-0.608089\pi$
$107$	4.76590	−	3.46263i	0.460737	−	0.334745i	0.793820	+	0.608153i	$0.208089\pi$
$108$	−3.89776	−	23.8426i	−0.375062	−	2.29425i
$109$		−	8.48528i		−	0.812742i	−0.913708	−	0.406371i	$-0.866794\pi$
$109$		−	8.48528i		−	0.812742i	0.913708	−	0.406371i	$-0.133206\pi$
$110$	−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	$-0.307294\pi$
$113$	−4.13294	−	5.68851i	−0.388794	−	0.535130i	−0.957888	+	0.287143i	$0.907294\pi$
$114$	6.19869	+	9.51064i	0.580561	+	0.890753i
$115$	0.00599302	+	0.0184446i	0.000558852	+	0.00171997i
$116$	−3.00672	−	9.25374i	−0.279167	−	0.859188i
$117$	−4.11432	+	0.888773i	−0.380369	+	0.0821671i
$118$	−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
$123$	3.20568	+	2.58714i	0.289047	+	0.233274i
$124$	8.67480	−	6.30261i	0.779020	−	0.565991i
$125$	0.587785	−	0.809017i	0.0525731	−	0.0723607i
$126$	−24.7416	−	10.9177i	−2.20416	−	0.972622i
$127$	13.7268	−	4.46011i	1.21806	−	0.395771i	0.371683	−	0.928360i	$-0.378781\pi$
$127$	13.7268	−	4.46011i	1.21806	−	0.395771i	0.846374	+	0.532589i	$0.178781\pi$
$128$	−5.41993	−	3.93781i	−0.479059	−	0.348057i
$129$	−2.48166	+	0.669365i	−0.218498	+	0.0589343i
$130$	−1.11803	+	3.44095i	−0.0980581	+	0.301792i
$131$	16.5346			1.44464			0.722320	−	0.691559i	$-0.243076\pi$
$131$	16.5346			1.44464			0.722320	+	0.691559i	$0.243076\pi$
$132$	−13.1141	+	23.2676i	−1.14144	+	2.02519i
$133$	8.88548			0.770469
$134$	5.56246	−	17.1195i	0.480524	−	1.47890i
$135$	4.64146	+	2.33598i	0.399474	+	0.201049i
$136$	−42.1063	−	30.5920i	−3.61059	−	2.62325i
$137$	9.57259	−	3.11032i	0.817841	−	0.265733i	0.129926	−	0.991524i	$-0.458526\pi$
$137$	9.57259	−	3.11032i	0.817841	−	0.265733i	0.687915	+	0.725791i	$0.258526\pi$
$138$	−0.00439012	+	0.0865082i	−0.000373712	+	0.00736407i
$139$	7.20248	−	9.91336i	0.610906	−	0.840840i	−0.385746	−	0.922605i	$-0.626056\pi$
$139$	7.20248	−	9.91336i	0.610906	−	0.840840i	0.996652	+	0.0817651i	$0.0260557\pi$
$140$	−13.1493	+	9.55353i	−1.11132	+	0.807421i
$141$	7.66973	−	9.50345i	0.645908	−	0.800335i
$142$		−	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
$147$	−7.57545	+	4.93740i	−0.624813	+	0.407230i
$148$	10.5144	+	32.3601i	0.864282	+	2.65999i
$149$	−0.869654	−	2.67652i	−0.0712448	−	0.219269i	0.909094	−	0.416591i	$-0.136775\pi$
$149$	−0.869654	−	2.67652i	−0.0712448	−	0.219269i	−0.980339	+	0.197322i	$0.936775\pi$
$150$	3.74176	−	2.43874i	0.305513	−	0.199123i
$151$	12.6666	+	17.4341i	1.03080	+	1.41877i	0.904348	+	0.426796i	$0.140358\pi$
$151$	12.6666	+	17.4341i	1.03080	+	1.41877i	0.126448	+	0.991973i	$0.459642\pi$
$152$	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
$156$	−7.09614	+	8.79273i	−0.568146	+	0.703982i
$157$	−9.29283	+	6.75164i	−0.741649	+	0.538840i	−0.893227	−	0.449606i	$-0.851564\pi$
$157$	−9.29283	+	6.75164i	−0.741649	+	0.538840i	0.151578	+	0.988445i	$0.451564\pi$
$158$	3.46084	−	4.76344i	0.275330	−	0.378959i
$159$	0.397045	−	7.82384i	0.0314877	−	0.620471i
$160$	−7.40488	+	2.40599i	−0.585407	+	0.190210i
$161$	0.0548489	+	0.0398501i	0.00432270	+	0.00314063i
$162$	15.6429	+	17.1436i	1.22902	+	1.34693i
$163$	5.93797	−	18.2752i	0.465098	−	1.43142i	−0.393761	−	0.919213i	$-0.628826\pi$
$163$	5.93797	−	18.2752i	0.465098	−	1.43142i	0.858859	−	0.512212i	$-0.171174\pi$
$164$	11.0579			0.863480
$165$	−2.39076	−	5.22343i	−0.186121	−	0.406644i
$166$	−15.8387			−1.22932
$167$	−2.52265	+	7.76393i	−0.195209	+	0.600791i	0.804765	+	0.593593i	$0.202291\pi$
$167$	−2.52265	+	7.76393i	−0.195209	+	0.600791i	−0.999974	+	0.00719787i	$0.997709\pi$
$168$	−39.9392	+	10.7726i	−3.08138	+	0.831122i
$169$	−8.92457	−	6.48408i	−0.686506	−	0.498776i
$170$	18.6830	−	6.07047i	1.43292	−	0.465584i
$171$	−6.97626	−	3.07840i	−0.533488	−	0.235411i
$172$	−4.05554	+	5.58197i	−0.309232	+	0.425621i
$173$	−16.0063	+	11.6292i	−1.21693	+	0.884153i	−0.995842	−	0.0910997i	$-0.970962\pi$
$173$	−16.0063	+	11.6292i	−1.21693	+	0.884153i	−0.221091	+	0.975253i	$0.570962\pi$
$174$	7.27359	+	5.87013i	0.551410	+	0.445013i
$175$		−	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	$-0.151326\pi$
$179$	2.39565	+	3.29734i	0.179060	+	0.246454i	−0.710047	+	0.704154i	$0.751326\pi$
$180$	13.6338	−	2.94515i	1.01620	−	0.219519i
$181$	−1.79654	−	5.52918i	−0.133536	−	0.410981i	0.861824	−	0.507208i	$-0.169322\pi$
$181$	−1.79654	−	5.52918i	−0.133536	−	0.410981i	−0.995359	+	0.0962274i	$0.969322\pi$
$182$	3.90843	+	12.0289i	0.289712	+	0.891642i
$183$	−2.31492	−	3.55178i	−0.171124	−	0.262555i
$184$	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
$189$	17.9268	−	2.93065i	1.30398	−	0.213173i
$190$	−5.30253	+	3.85251i	−0.384686	+	0.279491i
$191$	−14.6054	+	20.1026i	−1.05681	+	1.45457i	−0.174055	+	0.984736i	$0.555687\pi$
$191$	−14.6054	+	20.1026i	−1.05681	+	1.45457i	−0.882754	+	0.469836i	$0.844313\pi$
$192$	−5.95191	−	0.302048i	−0.429542	−	0.0217984i
$193$	−6.72879	+	2.18632i	−0.484349	+	0.157374i	−0.541005	−	0.841019i	$-0.681956\pi$
$193$	−6.72879	+	2.18632i	−0.484349	+	0.157374i	0.0566565	+	0.998394i	$0.481956\pi$
$194$	−27.3717	−	19.8867i	−1.96517	−	1.42778i
$195$	−0.632866	−	2.34635i	−0.0453205	−	0.168025i
$196$	−7.50075	+	23.0849i	−0.535768	+	1.64892i
$197$	−14.4116			−1.02678			−0.513391	−	0.858155i	$-0.671611\pi$
$197$	−14.4116			−1.02678			−0.513391	+	0.858155i	$0.671611\pi$
$198$	−1.65053	−	25.6041i	−0.117298	−	1.81960i
$199$	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
$201$	3.14865	+	11.6736i	0.222088	+	0.823391i
$202$	14.4938	+	10.5304i	1.01978	+	0.740915i
$203$	6.95771	−	2.26070i	0.488335	−	0.158670i
$204$	61.2701	+	3.10934i	4.28977	+	0.217697i
$205$	−1.39796	+	1.92413i	−0.0976378	+	0.134387i
$206$	−25.1379	+	18.2637i	−1.75144	+	1.27250i
$207$	−0.0292574	−	0.0502901i	−0.00203353	−	0.00349540i
$208$			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	0.783971	−	0.620798i	$-0.213191\pi$
$211$	15.3004	+	4.97139i	1.05332	+	0.342244i	0.269350	+	0.963042i	$0.413191\pi$
$212$	−12.3605	−	17.0127i	−0.848920	−	1.16844i
$213$	5.30096	+	8.13326i	0.363216	+	0.557282i
$214$	4.69419	+	14.4472i	0.320889	+	0.987593i
$215$	−0.458579	−	1.41136i	−0.0312748	−	0.0962540i
$216$	35.0897	+	5.37917i	2.38755	+	0.366006i
$217$	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
$222$	−25.4356	−	20.5277i	−1.70712	−	1.37773i
$223$	−19.1178	+	13.8899i	−1.28022	+	0.930135i	−0.999560	−	0.0296714i	$-0.990554\pi$
$223$	−19.1178	+	13.8899i	−1.28022	+	0.930135i	−0.280662	+	0.959807i	$0.590554\pi$
$224$	−15.9984	+	22.0199i	−1.06894	+	1.47127i
$225$	−1.21113	+	2.74466i	−0.0807420	+	0.182977i
$226$	17.2440	−	5.60292i	1.14706	−	0.372701i
$227$	−9.80460	−	7.12346i	−0.650754	−	0.472800i	0.212774	−	0.977101i	$-0.431750\pi$
$227$	−9.80460	−	7.12346i	−0.650754	−	0.472800i	−0.863528	+	0.504301i	$0.831750\pi$
$228$	−19.7626	+	5.33044i	−1.30881	+	0.353017i
$229$	2.42858	−	7.47441i	0.160485	−	0.493923i	−0.838190	−	0.545378i	$-0.816386\pi$
$229$	2.42858	−	7.47441i	0.160485	−	0.493923i	0.998675	+	0.0514555i	$0.0163860\pi$
$230$	−0.0500098			−0.00329755
$231$	−17.4945	−	9.86024i	−1.15105	−	0.648756i
$232$	14.2973			0.938664
$233$	8.33434	−	25.6505i	0.546001	−	1.68042i	−0.172598	−	0.984992i	$-0.555216\pi$
$233$	8.33434	−	25.6505i	0.546001	−	1.68042i	0.718599	−	0.695425i	$-0.244784\pi$
$234$	1.09882	−	10.7983i	0.0718321	−	0.705910i
$235$	5.70420	+	4.14434i	0.372101	+	0.270347i
$236$	44.7030	−	14.5249i	2.90992	−	0.945490i
$237$	−0.200444	+	3.94978i	−0.0130202	+	0.256566i
$238$	40.3651	−	55.5578i	2.61648	−	3.60128i
$239$	0.461364	−	0.335200i	0.0298431	−	0.0216823i	−0.572764	−	0.819721i	$-0.694129\pi$
$239$	0.461364	−	0.335200i	0.0298431	−	0.0216823i	0.602607	+	0.798038i	$0.294129\pi$
$240$	9.04844	−	11.2118i	0.584074	−	0.723718i
$241$		−	13.4660i		−	0.867424i	−0.901052	−	0.433712i	$-0.857203\pi$
$241$		−	13.4660i		−	0.867424i	0.901052	−	0.433712i	$-0.142797\pi$
$242$	−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
$246$	−8.89922	+	5.80019i	−0.567394	+	0.369807i
$247$	1.10204	+	3.39173i	0.0701211	+	0.215811i
$248$	4.86886	+	14.9848i	0.309173	+	0.951537i
$249$	8.91275	−	5.80900i	0.564822	−	0.368131i
$250$	1.51569	+	2.08617i	0.0958606	+	0.131941i
$251$	−3.66874	−	1.19205i	−0.231569	−	0.0752412i	0.190934	−	0.981603i	$-0.438848\pi$
$251$	−3.66874	−	1.19205i	−0.231569	−	0.0752412i	−0.422503	+	0.906362i	$0.638848\pi$
$252$	32.5069	−	36.3438i	2.04774	−	2.28944i
$253$	−0.00950885	+	0.0636153i	−0.000597817	+	0.00399946i
$254$			37.2181i			2.33527i
$255$	−8.28689	+	10.2682i	−0.518945	+	0.643017i
$256$	19.5433	−	14.1991i	1.22146	−	0.887442i
$257$	6.49077	−	8.93378i	0.404883	−	0.557274i	−0.557078	−	0.830460i	$-0.688078\pi$
$257$	6.49077	−	8.93378i	0.404883	−	0.557274i	0.961961	+	0.273186i	$0.0880776\pi$
$258$	0.335927	−	6.61951i	0.0209139	−	0.412112i
$259$	−24.3309	+	7.90560i	−1.51185	+	0.491230i
$260$	−5.27760	−	3.83440i	−0.327303	−	0.237800i
$261$	−6.24593	−	0.635575i	−0.386613	−	0.0393411i
$262$	−13.1756	+	40.5502i	−0.813989	+	2.50520i
$263$	−21.8038			−1.34448			−0.672239	−	0.740334i	$-0.734667\pi$
$263$	−21.8038			−1.34448			−0.672239	+	0.740334i	$0.734667\pi$
$264$	−26.5616	−	28.8921i	−1.63475	−	1.77818i
$265$	4.52291			0.277840
$266$	−7.08035	+	21.7911i	−0.434124	+	1.33610i
$267$	21.3758	−	5.76556i	1.30818	−	0.352846i
$268$	26.2572	+	19.0770i	1.60392	+	1.16531i
$269$	11.5239	−	3.74435i	0.702626	−	0.228297i	0.0641517	−	0.997940i	$-0.479566\pi$
$269$	11.5239	−	3.74435i	0.702626	−	0.228297i	0.638474	+	0.769643i	$0.279566\pi$
$270$	−9.42738	+	9.52148i	−0.573732	+	0.579459i
$271$	−0.0174867	+	0.0240684i	−0.00106224	+	0.00146205i	−0.809548	−	0.587054i	$-0.800288\pi$
$271$	−0.0174867	+	0.0240684i	−0.00106224	+	0.00146205i	0.808486	+	0.588516i	$0.200288\pi$
$272$	51.2668	−	37.2475i	3.10851	−	2.25846i
$273$	−6.61108	−	5.33545i	−0.400121	−	0.322916i
$274$			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	−0.199750	−	0.979847i	$-0.564013\pi$
$277$	−15.5996	−	5.06862i	−0.937290	−	0.304544i	−0.737540	+	0.675303i	$0.764013\pi$
$278$	18.5726	+	25.5630i	1.11391	+	1.53317i
$279$	−1.46088	−	6.76272i	−0.0874604	−	0.404873i
$280$	−7.38025	−	22.7141i	−0.441054	−	1.35742i
$281$	−0.0698179	−	0.214877i	−0.00416499	−	0.0128185i	0.948952	−	0.315419i	$-0.102145\pi$
$281$	−0.0698179	−	0.214877i	−0.00416499	−	0.0128185i	−0.953117	+	0.302601i	$0.902145\pi$
$282$	17.1950	+	26.3823i	1.02395	+	1.57104i
$283$	10.9347	+	15.0504i	0.650002	+	0.894651i	0.999099	−	0.0424356i	$-0.0135117\pi$
$283$	10.9347	+	15.0504i	0.650002	+	0.894651i	−0.349097	+	0.937086i	$0.613512\pi$
$284$	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
$288$	20.1897	−	11.7458i	1.18969	−	0.692129i
$289$	−33.1987	+	24.1203i	−1.95287	+	1.41884i
$290$	−3.17193	+	4.36578i	−0.186262	+	0.256368i
$291$	22.6963	+	1.15179i	1.33048	+	0.0675192i
$292$	40.3063	−	13.0963i	2.35875	−	0.766403i
$293$	−8.94606	−	6.49970i	−0.522635	−	0.379716i	0.294961	−	0.955509i	$-0.404693\pi$
$293$	−8.94606	−	6.49970i	−0.522635	−	0.379716i	−0.817595	+	0.575793i	$0.804693\pi$
$294$	−6.07221	−	22.5127i	−0.354138	−	1.31297i
$295$	−3.12403	+	9.61477i	−0.181888	+	0.559793i
$296$	−49.9974			−2.90604
$297$	10.3193	+	13.8026i	0.598789	+	0.800907i
$298$	7.25698			0.420385
$299$	−0.00840866	+	0.0258792i	−0.000486286	+	0.00149663i
$300$	2.09715	+	7.77516i	0.121079	+	0.448899i
$301$	−4.19698	−	3.04928i	−0.241910	−	0.175758i
$302$	−52.8495	+	17.1718i	−3.04114	+	0.988128i
$303$	−12.0181	−	0.609895i	−0.690421	−	0.0350376i
$304$	−12.4275	+	17.1050i	−0.712765	+	0.981037i
$305$	1.98025	−	1.43873i	0.113389	−	0.0823816i
$306$	−50.9400	+	29.6355i	−2.91204	+	1.69415i
$307$		−	3.78669i		−	0.216118i	−0.994144	−	0.108059i	$-0.965536\pi$
$307$		−	3.78669i		−	0.216118i	0.994144	−	0.108059i	$-0.0344635\pi$
$308$	−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	$-0.269201\pi$
$311$	−4.47159	−	6.15461i	−0.253560	−	0.348996i	−0.916754	+	0.399452i	$0.869201\pi$
$312$	−9.06561	−	13.9093i	−0.513239	−	0.787462i
$313$	−2.94293	−	9.05740i	−0.166344	−	0.511955i	0.832789	−	0.553591i	$-0.186743\pi$
$313$	−2.94293	−	9.05740i	−0.166344	−	0.511955i	−0.999133	+	0.0416363i	$0.986743\pi$
$314$	−9.15302	−	28.1701i	−0.516535	−	1.58973i
$315$	2.21440	+	10.2510i	0.124768	+	0.577576i
$316$	6.24005	+	8.58870i	0.351030	+	0.483152i
$317$	−1.63869	−	0.532442i	−0.0920379	−	0.0299049i	0.262636	−	0.964895i	$-0.415408\pi$
$317$	−1.63869	−	0.532442i	−0.0920379	−	0.0299049i	−0.354674	+	0.934990i	$0.615408\pi$
$318$	18.8711	+	7.20812i	1.05824	+	0.404211i
$319$	4.95041	+	4.86498i	0.277170	+	0.272387i
$320$		−	3.44076i		−	0.192344i
$321$	−7.94020	−	6.40811i	−0.443179	−	0.357666i
$322$	−0.141436	+	0.102759i	−0.00788192	+	0.00572655i
$323$	11.3815	−	15.6653i	0.633286	−	0.871643i
$324$	−38.1135	+	17.2725i	−2.11742	+	0.959584i
$325$	1.33440	−	0.433574i	0.0740194	−	0.0240504i
$326$	40.0872	+	29.1250i	2.22022	+	1.61309i
$327$	−14.1898	+	3.82734i	−0.784699	+	0.211652i
$328$	−5.02111	+	15.4534i	−0.277245	+	0.853271i
$329$	24.6481			1.35889
$330$	14.7152	−	1.70093i	0.810046	−	0.0936329i
$331$	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
$333$	21.8419	+	2.22259i	1.19693	+	0.121797i
$334$	−17.0304	−	12.3733i	−0.931862	−	0.677037i
$335$	−6.63895	+	2.15713i	−0.362725	+	0.117856i
$336$	2.55270	−	50.3013i	0.139261	−	2.74416i
$337$	−18.4810	+	25.4370i	−1.00673	+	1.38564i	−0.0856202	+	0.996328i	$0.527287\pi$
$337$	−18.4810	+	25.4370i	−1.00673	+	1.38564i	−0.921106	+	0.389312i	$0.872713\pi$
$338$	23.0133	−	16.7202i	1.25176	−	0.909456i
$339$	−7.64863	+	9.47731i	−0.415417	+	0.514737i
$340$			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
$345$	0.0281415	−	0.0183416i	0.00151509	−	0.000987480i
$346$	−15.7654	−	48.5210i	−0.847555	−	2.60851i
$347$	−0.904695	−	2.78436i	−0.0485666	−	0.149473i	0.923832	−	0.382798i	$-0.125039\pi$
$347$	−0.904695	−	2.78436i	−0.0485666	−	0.149473i	−0.972399	+	0.233325i	$0.925039\pi$
$348$	−14.1187	+	9.20207i	−0.756843	+	0.493283i
$349$	−1.99724	−	2.74897i	−0.106910	−	0.147149i	0.752210	−	0.658924i	$-0.228988\pi$
$349$	−1.99724	−	2.74897i	−0.106910	−	0.147149i	−0.859119	+	0.511775i	$0.828988\pi$
$350$	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	$0.751516\pi$
$354$	−28.3575	+	35.1373i	−1.50718	+	1.86753i
$355$	−4.53459	+	3.29457i	−0.240671	+	0.174858i
$356$	34.9323	−	48.0802i	1.85141	−	2.54825i
$357$	−2.33785	+	46.0678i	−0.123732	+	2.43817i
$358$	−9.99548	+	3.24773i	−0.528277	+	0.171648i
$359$	−1.49076	−	1.08310i	−0.0786792	−	0.0571638i	0.547750	−	0.836642i	$-0.315484\pi$
$359$	−1.49076	−	1.08310i	−0.0786792	−	0.0571638i	−0.626430	+	0.779478i	$0.715484\pi$
$360$	−2.07489	+	20.3904i	−0.109356	+	1.07467i
$361$	3.87491	−	11.9257i	0.203943	−	0.627671i
$362$	14.9915			0.787937
$363$	0.634273	−	19.0420i	0.0332907	−	0.999446i
$364$	−22.8048			−1.19530
$365$	−2.81677	+	8.66911i	−0.147436	+	0.453762i
$366$	10.5551	−	2.84698i	0.551726	−	0.148814i
$367$	11.3850	+	8.27168i	0.594292	+	0.431778i	0.843848	−	0.536582i	$-0.180285\pi$
$367$	11.3850	+	8.27168i	0.594292	+	0.431778i	−0.249557	+	0.968360i	$0.580285\pi$
$368$	−0.153427	+	0.0498513i	−0.00799791	+	0.00259868i
$369$	2.88049	−	6.52777i	0.149953	−	0.339822i
$370$	11.0922	−	15.2670i	0.576654	−	0.793696i
$371$	12.7915	−	9.29359i	0.664103	−	0.482499i
$372$	−14.4526	−	11.6639i	−0.749333	−	0.604747i
$373$			0.322513i			0.0166991i	0.999965	+	0.00834954i	$0.00265777\pi$
$373$			0.322513i			0.0166991i	−0.999965	+	0.00834954i	$0.997342\pi$
$374$	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
$378$	−7.09762	+	46.2995i	−0.365062	+	2.38139i
$379$	−5.01397	−	15.4314i	−0.257550	−	0.792659i	−0.993316	−	0.115423i	$-0.963178\pi$
$379$	−5.01397	−	15.4314i	−0.257550	−	0.792659i	0.735766	−	0.677236i	$-0.236822\pi$
$380$	−3.65186	−	11.2393i	−0.187337	−	0.576563i
$381$	−13.6501	−	20.9434i	−0.699318	−	1.07296i
$382$	−37.6621	−	51.8374i	−1.92696	−	2.65223i
$383$	4.76466	+	1.54813i	0.243463	+	0.0791059i	0.428207	−	0.903681i	$-0.359146\pi$
$383$	4.76466	+	1.54813i	0.243463	+	0.0791059i	−0.184744	+	0.982787i	$0.559146\pi$
$384$	−4.14046	+	10.8399i	−0.211292	+	0.553169i
$385$	5.17357	−	10.3760i	0.263670	−	0.528810i
$386$		−	18.2441i		−	0.928599i
$387$	2.23874	+	3.84814i	0.113802	+	0.195612i
$388$	49.3524	−	35.8566i	2.50549	−	1.82034i
$389$	1.34004	−	1.84441i	0.0679427	−	0.0935150i	−0.773693	−	0.633560i	$-0.781593\pi$
$389$	1.34004	−	1.84441i	0.0679427	−	0.0935150i	0.841636	+	0.540045i	$0.181593\pi$
$390$	6.25856	+	0.317610i	0.316915	+	0.0160828i
$391$	0.140514	−	0.0456556i	0.00710608	−	0.00230890i
$392$	−28.8551	−	20.9645i	−1.45740	−	1.05887i
$393$	−7.45806	−	27.6507i	−0.376209	−	1.39479i
$394$	11.4838	−	35.3435i	0.578545	−	1.78058i
$395$	−2.28334			−0.114888
$396$	44.8254	+	11.4355i	2.25256	+	0.574657i
$397$	−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
$399$	−4.00785	−	14.8591i	−0.200644	−	0.743885i
$400$	6.72958	+	4.88933i	0.336479	+	0.244466i
$401$	6.05646	−	1.96786i	0.302445	−	0.0982703i	−0.153863	−	0.988092i	$-0.549171\pi$
$401$	6.05646	−	1.96786i	0.302445	−	0.0982703i	0.456308	+	0.889822i	$0.349171\pi$
$402$	−31.1377	−	1.58018i	−1.55301	−	0.0788122i
$403$	−1.90197	+	2.61783i	−0.0947438	+	0.130404i
$404$	−26.1330	+	18.9867i	−1.30017	+	0.944626i
$405$	1.81288	−	8.81553i	0.0900825	−	0.438047i
$406$			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	0.962768	−	0.270330i	$-0.0871328\pi$
$409$	32.0095	+	10.4005i	1.58277	+	0.514272i	0.619999	+	0.784602i	$0.287133\pi$
$410$	−3.60484	−	4.96164i	−0.178031	−	0.245038i
$411$	−9.51913	−	14.6052i	−0.469544	−	0.720421i
$412$	−17.3125	−	53.2824i	−0.852926	−	2.62504i
$413$	10.9210	+	33.6113i	0.537387	+	1.65391i
$414$	0.146647	−	0.0316785i	0.00720730	−	0.00155692i
$415$	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	$-0.154341\pi$
$420$	21.9073	+	17.6803i	1.06897	+	0.862708i
$421$	−23.8275	+	17.3117i	−1.16128	+	0.843719i	−0.989939	−	0.141493i	$-0.954810\pi$
$421$	−23.8275	+	17.3117i	−1.16128	+	0.843719i	−0.171340	+	0.985212i	$0.554810\pi$
$422$	−24.3840	+	33.5618i	−1.18700	+	1.63376i
$423$	−19.3520	−	8.53940i	−0.940926	−	0.415200i
$424$	29.3877	−	9.54865i	1.42719	−	0.463723i
$425$	−6.16320	−	4.47782i	−0.298959	−	0.217206i
$426$	−24.1704	+	6.51933i	−1.17106	+	0.315863i
$427$	2.64418	−	8.13795i	0.127961	−	0.393823i
$428$	−27.3896			−1.32392
$429$	1.59402	−	7.90086i	0.0769600	−	0.381457i
$430$	3.82669			0.184539
$431$	4.04898	−	12.4615i	0.195033	−	0.600249i	−0.804943	−	0.593351i	$-0.797804\pi$
$431$	4.04898	−	12.4615i	0.195033	−	0.600249i	0.999976	−	0.00689751i	$-0.00219556\pi$
$432$	−19.4312	+	38.6087i	−0.934885	+	1.85756i
$433$	1.04465	+	0.758986i	0.0502029	+	0.0364745i	0.612604	−	0.790390i	$-0.290122\pi$
$433$	1.04465	+	0.758986i	0.0502029	+	0.0364745i	−0.562401	+	0.826865i	$0.690122\pi$
$434$	−19.7719	+	6.42428i	−0.949082	+	0.308376i
$435$	0.183711	−	3.62005i	0.00880825	−	0.173568i
$436$	−23.1891	+	31.9170i	−1.11055	+	1.52855i
$437$	−0.0398800	+	0.0289745i	−0.00190772	+	0.00138604i
$438$	−25.5684	+	31.6814i	−1.22170	+	1.51380i
$439$		−	31.3719i		−	1.49730i	−0.662967	−	0.748648i	$-0.730703\pi$
$439$		−	31.3719i		−	1.49730i	0.662967	−	0.748648i	$-0.269297\pi$
$440$	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	$-0.123021\pi$
$443$	5.92556	+	8.15584i	0.281532	+	0.387496i	−0.644709	+	0.764428i	$0.723021\pi$
$444$	49.3728	−	32.1794i	2.34313	−	1.52717i
$445$	3.94996	+	12.1567i	0.187246	+	0.576284i
$446$	−18.8302	−	57.9533i	−0.891634	−	2.74417i
$447$	−4.08365	+	2.66157i	−0.193150	+	0.125888i
$448$	−7.07000	−	9.73102i	−0.334026	−	0.459748i
$449$	−2.78870	−	0.906102i	−0.131607	−	0.0427616i	0.242473	−	0.970158i	$-0.422041\pi$
$449$	−2.78870	−	0.906102i	−0.131607	−	0.0427616i	−0.374080	+	0.927397i	$0.622041\pi$
$450$	−5.76603	−	5.15729i	−0.271813	−	0.243117i
$451$	−6.99691	+	3.64216i	−0.329472	+	0.171503i
$452$			32.6918i			1.53769i
$453$	23.4415	−	29.0460i	1.10138	−	1.36470i
$454$	25.2826	−	18.3689i	1.18657	−	0.862094i
$455$	2.88301	−	3.96813i	0.135158	−	0.186029i
$456$	1.52439	−	30.0385i	0.0713862	−	1.40668i
$457$	34.1629	−	11.1002i	1.59807	−	0.519246i	0.631443	−	0.775422i	$-0.282463\pi$
$457$	34.1629	−	11.1002i	1.59807	−	0.519246i	0.966630	+	0.256176i	$0.0824628\pi$
$458$	16.3953	+	11.9119i	0.766103	+	0.556606i
$459$	17.7958	−	35.3593i	0.830638	−	1.65043i
$460$	0.0278640	−	0.0857567i	0.00129917	−	0.00399843i
$461$	−33.0536			−1.53946			−0.769731	−	0.638369i	$-0.779610\pi$
$461$	−33.0536			−1.53946			−0.769731	+	0.638369i	$0.779610\pi$
$462$	38.1220	−	35.0471i	1.77360	−	1.63054i
$463$	−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
$465$	3.85669	−	1.04024i	0.178850	−	0.0482401i
$466$	56.2650	+	40.8789i	2.60642	+	1.89368i
$467$	21.7454	−	7.06552i	1.00626	−	0.326953i	0.240895	−	0.970551i	$-0.422559\pi$
$467$	21.7454	−	7.06552i	1.00626	−	0.326953i	0.765364	+	0.643598i	$0.222559\pi$
$468$	17.9047	+	7.90078i	0.827647	+	0.365214i
$469$	−14.3436	+	19.7423i	−0.662327	+	0.911615i
$470$	−14.7091	+	10.6868i	−0.678480	+	0.492945i
$471$	15.4823	+	12.4949i	0.713386	+	0.575736i
$472$			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
$477$	−13.2628	+	2.86502i	−0.607262	+	0.131180i
$478$	0.454423	+	1.39857i	0.0207848	+	0.0639691i
$479$	5.86896	+	18.0628i	0.268160	+	0.825310i	0.990949	+	0.134242i	$0.0428598\pi$
$479$	5.86896	+	18.0628i	0.268160	+	0.825310i	−0.722789	+	0.691069i	$0.757140\pi$
$480$	7.36353	+	11.2978i	0.336097	+	0.515674i
$481$	−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
$486$	21.6131	−	33.8922i	0.980392	−	1.53738i
$487$	20.1936	−	14.6715i	0.915061	−	0.664831i	−0.0272286	−	0.999629i	$-0.508668\pi$
$487$	20.1936	−	14.6715i	0.915061	−	0.664831i	0.942290	+	0.334798i	$0.108668\pi$
$488$	9.82928	−	13.5288i	0.444951	−	0.612422i
$489$	−33.2398	−	1.68685i	−1.50315	−	0.0762822i
$490$	12.8033	−	4.16005i	0.578394	−	0.187932i
$491$	3.90671	+	2.83839i	0.176307	+	0.128095i	0.672439	−	0.740153i	$-0.265247\pi$
$491$	3.90671	+	2.83839i	0.176307	+	0.128095i	−0.496132	+	0.868247i	$0.665247\pi$
$492$	−4.98776	−	18.4921i	−0.224865	−	0.833687i
$493$	4.92656	−	15.1624i	0.221881	−	0.682880i
$494$	−9.19616			−0.413755
$495$	−7.65672	+	6.35411i	−0.344144	+	0.285596i
$496$	−19.1838			−0.861377
$497$	−6.05494	+	18.6352i	−0.271601	+	0.835903i
$498$	7.14414	+	26.4868i	0.320137	+	1.18690i
$499$	7.87949	+	5.72478i	0.352734	+	0.256277i	0.750015	−	0.661421i	$-0.230046\pi$
$499$	7.87949	+	5.72478i	0.352734	+	0.256277i	−0.397281	+	0.917697i	$0.630046\pi$
$500$	−4.42186	+	1.43675i	−0.197751	+	0.0642533i
$501$	14.1214	+	0.716633i	0.630897	+	0.0320168i
$502$	5.84683	−	8.04748i	0.260957	−	0.359176i
$503$	26.3064	−	19.1128i	1.17295	−	0.852195i	0.181588	−	0.983375i	$-0.441876\pi$
$503$	26.3064	−	19.1128i	1.17295	−	0.852195i	0.991359	+	0.131179i	$0.0418764\pi$
$504$	36.0297	+	61.9309i	1.60489	+	2.75862i
$505$		−	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	$-0.266449\pi$
$509$	−5.49649	−	7.56528i	−0.243628	−	0.335325i	−0.913267	+	0.407362i	$0.866449\pi$
$510$	−18.5787	−	28.5052i	−0.822677	−	1.26223i
$511$	9.84686	+	30.3055i	0.435599	+	1.34064i
$512$	15.1089	+	46.5003i	0.667723	+	2.05504i
$513$	−2.00128	+	13.0548i	−0.0883587	+	0.576386i
$514$	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
$519$	26.6671	+	21.5216i	1.17056	+	0.944695i
$520$	7.75497	−	5.63432i	0.340078	−	0.247081i
$521$	−10.2593	+	14.1208i	−0.449469	+	0.618641i	−0.972283	−	0.233805i	$-0.924882\pi$
$521$	−10.2593	+	14.1208i	−0.449469	+	0.618641i	0.522814	+	0.852447i	$0.324882\pi$
$522$	6.53575	−	14.8113i	0.286062	−	0.648273i
$523$	5.64516	−	1.83422i	0.246845	−	0.0802049i	−0.182981	−	0.983116i	$-0.558575\pi$
$523$	5.64516	−	1.83422i	0.246845	−	0.0802049i	0.429827	+	0.902911i	$0.358575\pi$
$524$	−62.1943	−	45.1868i	−2.71697	−	1.97400i
$525$	−5.84599	+	1.57681i	−0.255140	+	0.0688174i
$526$	17.3742	−	53.4724i	0.757552	−	2.33151i
$527$	17.5692			0.765326
$528$	43.4497	−	19.8869i	1.89090	−	0.865466i
$529$	22.9996			0.999984
$530$	−3.60406	+	11.0922i	−0.156550	+	0.481812i
$531$	3.07034	−	30.1729i	0.133241	−	1.30939i
$532$	−33.4223	−	24.2828i	−1.44904	−	1.05279i
$533$	−3.17368	+	1.03119i	−0.137467	+	0.0446659i
$534$	−2.89350	+	57.0170i	−0.125214	+	2.46737i
$535$	3.46263	−	4.76590i	0.149702	−	0.206048i
$536$	−38.5827	+	28.0319i	−1.66652	+	1.21080i
$537$	4.43352	−	5.49351i	0.191320	−	0.237062i
$538$			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	−0.0774640	−	0.996995i	$-0.524682\pi$
$541$	−16.8899	−	5.48786i	−0.726153	−	0.235941i	−0.648689	+	0.761054i	$0.724682\pi$
$542$	−0.0450921	−	0.0620639i	−0.00193687	−	0.00266587i
$543$	−8.43604	+	5.49830i	−0.362025	+	0.235955i
$544$	18.3291	+	56.4113i	0.785856	+	2.41861i
$545$	−2.62210	−	8.06998i	−0.112318	−	0.345680i
$546$	18.3529	−	11.9617i	0.785430	−	0.511915i
$547$	−2.15265	−	2.96287i	−0.0920406	−	0.126683i	0.760513	−	0.649322i	$-0.224947\pi$
$547$	−2.15265	−	2.96287i	−0.0920406	−	0.126683i	−0.852554	+	0.522639i	$0.824947\pi$
$548$	−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
$552$	0.144128	−	0.178587i	0.00613449	−	0.00760116i
$553$	−6.45767	+	4.69177i	−0.274608	+	0.199515i
$554$	24.8610	−	34.2182i	1.05624	−	1.45379i
$555$	−0.642432	+	12.6592i	−0.0272697	+	0.537355i
$556$	−54.1836	+	17.6053i	−2.29790	+	0.746632i
$557$	25.6016	+	18.6007i	1.08478	+	0.788136i	0.978510	−	0.206202i	$-0.0661103\pi$
$557$	25.6016	+	18.6007i	1.08478	+	0.788136i	0.106267	+	0.994338i	$0.466110\pi$
$558$	17.7492	+	1.80613i	0.751385	+	0.0764596i
$559$	0.643421	−	1.98025i	0.0272138	−	0.0837555i
$560$	29.0789			1.22881
$561$	−39.7928	+	18.2131i	−1.68005	+	0.768959i
$562$	0.582607			0.0245758
$563$	0.0335988	−	0.103406i	0.00141602	−	0.00435806i	−0.950346	−	0.311195i	$-0.899271\pi$
$563$	0.0335988	−	0.103406i	0.00141602	−	0.00435806i	0.951762	+	0.306837i	$0.0992707\pi$
$564$	−54.8209	+	14.7865i	−2.30838	+	0.622625i
$565$	−5.68851	−	4.13294i	−0.239317	−	0.173874i
$566$	−45.6233	+	14.8239i	−1.91769	+	0.623096i
$567$	−12.9869	−	28.6568i	−0.545397	−	1.20347i
$568$	−22.5082	+	30.9799i	−0.944423	+	1.29989i
$569$	−7.22329	+	5.24803i	−0.302816	+	0.220009i	−0.728808	−	0.684718i	$-0.759925\pi$
$569$	−7.22329	+	5.24803i	−0.302816	+	0.220009i	0.425992	+	0.904727i	$0.359925\pi$
$570$	8.83426	+	7.12966i	0.370026	+	0.298629i
$571$			12.1395i			0.508021i	0.967201	+	0.254011i	$0.0817498\pi$
$571$			12.1395i			0.508021i	−0.967201	+	0.254011i	$0.918250\pi$
$572$	−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
$576$	2.17953	+	10.0895i	0.0908140	+	0.420398i
$577$	9.22007	+	28.3765i	0.383837	+	1.18133i	0.937321	+	0.348468i	$0.113298\pi$
$577$	9.22007	+	28.3765i	0.383837	+	1.18133i	−0.553484	+	0.832860i	$0.686702\pi$
$578$	−32.6993	−	100.638i	−1.36011	−	4.18599i
$579$	6.69121	+	10.2663i	0.278077	+	0.426654i
$580$	−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
$585$	−3.63831	+	2.11667i	−0.150426	+	0.0875135i
$586$	23.0687	−	16.7604i	0.952960	−	0.692366i
$587$	−3.50216	+	4.82031i	−0.144550	+	0.198955i	−0.875153	−	0.483847i	$-0.839239\pi$
$587$	−3.50216	+	4.82031i	−0.144550	+	0.198955i	0.730603	+	0.682803i	$0.239239\pi$
$588$	41.9879	+	2.13081i	1.73155	+	0.0878729i
$589$	−5.57499	+	1.81142i	−0.229713	+	0.0746384i
$590$	−21.0903	−	15.3230i	−0.868272	−	0.630836i
$591$	6.50043	+	24.1003i	0.267392	+	0.991354i
$592$	18.8113	−	57.8952i	0.773139	−	2.37948i
$593$	−46.1025			−1.89320			−0.946602	−	0.322404i	$-0.895509\pi$
$593$	−46.1025			−1.89320			−0.946602	+	0.322404i	$0.895509\pi$
$594$	−42.0729	+	14.3090i	−1.72627	+	0.587107i
$595$	−26.6315			−1.09178
$596$	−4.04338	+	12.4442i	−0.165623	+	0.509736i
$597$	−0.416898	−	1.54565i	−0.0170625	−	0.0632590i
$598$	−0.0567667	−	0.0412434i	−0.00232136	−	0.00168657i
$599$	−22.2811	+	7.23958i	−0.910383	+	0.295801i	−0.726516	−	0.687150i	$-0.758862\pi$
$599$	−22.2811	+	7.23958i	−0.910383	+	0.295801i	−0.183867	+	0.982951i	$0.558862\pi$
$600$	−11.8180	−	0.599740i	−0.482467	−	0.0244843i
$601$	21.4026	−	29.4582i	0.873032	−	1.20163i	−0.105271	−	0.994444i	$-0.533571\pi$
$601$	21.4026	−	29.4582i	0.873032	−	1.20163i	0.978302	−	0.207182i	$-0.0664291\pi$
$602$	10.8225	−	7.86302i	0.441093	−	0.320473i
$603$	18.1014	−	10.5309i	0.737145	−	0.428851i
$604$		−	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	−0.0999114	−	0.994996i	$-0.531856\pi$
$607$	−18.8620	−	6.12864i	−0.765586	−	0.248754i	−0.665674	+	0.746242i	$0.731856\pi$
$608$	−11.6323	−	16.0104i	−0.471750	−	0.649309i
$609$	−6.91886	−	10.6156i	−0.280366	−	0.430166i
$610$	1.95045	+	6.00288i	0.0789715	+	0.243049i
$611$	3.05703	+	9.40858i	0.123674	+	0.380630i
$612$	−22.4366	−	103.864i	−0.906945	−	4.19844i
$613$	−1.73441	−	2.38721i	−0.0700522	−	0.0964186i	0.772553	−	0.634950i	$-0.218979\pi$
$613$	−1.73441	−	2.38721i	−0.0700522	−	0.0964186i	−0.842605	+	0.538531i	$0.818979\pi$
$614$	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	$-0.125907\pi$
$618$	41.8809	+	33.7998i	1.68469	+	1.35963i
$619$	6.74687	−	4.90188i	0.271179	−	0.197023i	−0.443882	−	0.896085i	$-0.646399\pi$
$619$	6.74687	−	4.90188i	0.271179	−	0.197023i	0.715061	+	0.699062i	$0.246399\pi$
$620$	6.30261	−	8.67480i	0.253119	−	0.348388i
$621$	−0.0709027	+	0.0716105i	−0.00284523	+	0.00287363i
$622$	18.6570	−	6.06201i	0.748076	−	0.243065i
$623$	36.1506	+	26.2649i	1.44834	+	1.05228i
$624$	19.5174	−	5.26432i	0.781322	−	0.210742i
$625$	0.309017	−	0.951057i	0.0123607	−	0.0380423i
$626$	24.5578			0.981526
$627$	10.7491	−	9.88204i	0.429277	−	0.394651i
$628$	53.4058			2.13113
$629$	−17.2281	+	53.0225i	−0.686928	+	2.11415i
$630$	−26.9044	−	2.73774i	−1.07190	−	0.109074i
$631$	−25.6146	−	18.6101i	−1.01970	−	0.740857i	−0.0534799	−	0.998569i	$-0.517031\pi$
$631$	−25.6146	−	18.6101i	−1.01970	−	0.740857i	−0.966222	+	0.257712i	$0.917031\pi$
$632$	−14.8361	+	4.82053i	−0.590148	+	0.191751i
$633$	1.41227	−	27.8290i	0.0561326	−	1.10610i
$634$	2.61156	−	3.59451i	0.103718	−	0.142756i
$635$	11.6767	−	8.48363i	0.463376	−	0.336663i
$636$	−22.8749	+	28.3440i	−0.907049	+	1.12391i
$637$		−	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	$-0.126638\pi$
$641$	6.79907	+	9.35811i	0.268547	+	0.369623i	−0.653352	+	0.757055i	$0.726638\pi$
$642$	22.0426	−	14.3666i	0.869952	−	0.567003i
$643$	−11.5606	−	35.5800i	−0.455907	−	1.40314i	−0.870067	−	0.492933i	$-0.835925\pi$
$643$	−11.5606	−	35.5800i	−0.455907	−	1.40314i	0.414160	−	0.910204i	$-0.364075\pi$
$644$	−0.0974072	−	0.299789i	−0.00383838	−	0.0118133i
$645$	−2.15336	+	1.40348i	−0.0847884	+	0.0552620i
$646$	29.3490	+	40.3954i	1.15472	+	1.58933i
$647$	−18.3042	−	5.94739i	−0.719612	−	0.233816i	−0.0737570	−	0.997276i	$-0.523499\pi$
$647$	−18.3042	−	5.94739i	−0.719612	−	0.233816i	−0.645855	+	0.763460i	$0.723499\pi$
$648$	−6.83190	−	61.1064i	−0.268382	−	2.40048i
$649$	−23.5018	+	23.9145i	−0.922525	+	0.938726i
$650$			3.61803i			0.141911i
$651$	8.76988	−	10.8666i	0.343719	−	0.425897i
$652$	−72.2789	+	52.5137i	−2.83066	+	2.05660i
$653$	−0.103265	+	0.142132i	−0.00404107	+	0.00556205i	−0.811033	−	0.585001i	$-0.801094\pi$
$653$	−0.103265	+	0.142132i	−0.00404107	+	0.00556205i	0.806992	+	0.590563i	$0.201094\pi$
$654$	1.92079	−	37.8495i	0.0751087	−	1.48003i
$655$	15.7254	−	5.10949i	0.614442	−	0.199644i
$656$	−16.0053	−	11.6285i	−0.624903	−	0.454018i
$657$	2.76836	−	27.2052i	0.108004	−	1.06138i
$658$	−19.6407	+	60.4480i	−0.765676	+	2.35651i
$659$	34.3671			1.33875			0.669376	−	0.742924i	$-0.266562\pi$
$659$	34.3671			1.33875			0.669376	+	0.742924i	$0.266562\pi$
$660$	−5.28215	+	26.1813i	−0.205608	+	1.01911i
$661$	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
$663$	−17.8748	+	4.82126i	−0.694199	+	0.187242i
$664$	33.9490	+	24.6654i	1.31747	+	0.957202i
$665$	8.45060	−	2.74576i	0.327700	−	0.106476i
$666$	−22.8554	+	51.7948i	−0.885627	+	2.00701i
$667$	−0.0238559	+	0.0328348i	−0.000923703	+	0.00127137i
$668$	30.7066	−	22.3096i	1.18807	−	0.863185i
$669$	31.8511	+	25.7053i	1.23143	+	0.993825i
$670$		−	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	−0.131174	−	0.991359i	$-0.541875\pi$
$673$	−21.2727	−	6.91193i	−0.820003	−	0.266435i	−0.688829	+	0.724924i	$0.741875\pi$
$674$	−47.6560	−	65.5929i	−1.83564	−	2.52654i
$675$	5.13615	+	0.787361i	0.197691	+	0.0303056i
$676$	15.8493	+	48.7792i	0.609589	+	1.87612i
$677$	4.20910	+	12.9543i	0.161769	+	0.497873i	0.998784	−	0.0493070i	$-0.0157013\pi$
$677$	4.20910	+	12.9543i	0.161769	+	0.497873i	−0.837015	+	0.547180i	$0.815701\pi$
$678$	−17.1477	−	26.3097i	−0.658555	−	1.01042i
$679$	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	$-0.284867\pi$
$684$	17.8281	+	30.6444i	0.681673	+	1.17172i
$685$	8.14293	−	5.91618i	0.311125	−	0.226046i
$686$	−9.42802	+	12.9766i	−0.359963	+	0.495447i
$687$	−13.5948	−	0.689909i	−0.518674	−	0.0263217i
$688$	11.7400	−	3.81456i	0.447584	−	0.145429i
$689$	5.13401	+	3.73007i	0.195590	+	0.142105i
$690$	0.0225573	+	0.0836308i	0.000858740	+	0.00318377i
$691$	−9.29590	+	28.6098i	−0.353633	+	1.08837i	0.603166	+	0.797616i	$0.293906\pi$
$691$	−9.29590	+	28.6098i	−0.353633	+	1.08837i	−0.956798	+	0.290753i	$0.906094\pi$
$692$	91.9878			3.49685
$693$	−8.59815	+	33.7033i	−0.326617	+	1.28028i
$694$	7.54938			0.286571
$695$	3.78657	−	11.6539i	0.143633	−	0.442056i
$696$	−6.44890	−	23.9092i	−0.244445	−	0.906277i
$697$	14.6583	+	10.6498i	0.555221	+	0.403392i
$698$	8.33317	−	2.70761i	0.315415	−	0.102485i
$699$	−46.6542	−	2.36761i	−1.76462	−	0.0895513i
$700$	−9.55353	+	13.1493i	−0.361090	+	0.496997i
$701$	38.2344	−	27.7789i	1.44409	−	1.04920i	0.456926	−	0.889505i	$-0.348950\pi$
$701$	38.2344	−	27.7789i	1.44409	−	1.04920i	0.987167	−	0.159691i	$-0.0510497\pi$
$702$	−18.5536	+	3.03312i	−0.700259	+	0.114478i
$703$		−	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
$708$	−44.4534	−	68.2048i	−1.67066	−	2.56329i
$709$	2.27412	+	6.99903i	0.0854064	+	0.262854i	0.984635	−	0.174625i	$-0.0558714\pi$
$709$	2.27412	+	6.99903i	0.0854064	+	0.262854i	−0.899229	+	0.437479i	$0.855871\pi$
$710$	−4.46637	−	13.7461i	−0.167620	−	0.515881i
$711$	6.69559	−	1.44638i	0.251104	−	0.0542433i
$712$	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
$717$	−0.768653	−	0.620339i	−0.0287059	−	0.0231670i
$718$	3.84414	−	2.79293i	0.143462	−	0.104231i
$719$	−17.0040	+	23.4039i	−0.634140	+	0.872819i	−0.998286	−	0.0585227i	$-0.981361\pi$
$719$	−17.0040	+	23.4039i	−0.634140	+	0.872819i	0.364146	+	0.931342i	$0.381361\pi$
$720$	−22.8307	−	10.0744i	−0.850850	−	0.375453i
$721$	40.0620	−	13.0169i	1.49199	−	0.484776i
$722$	26.1595	+	19.0060i	0.973554	+	0.707328i
$723$	−22.5191	+	6.07395i	−0.837495	+	0.225893i
$724$	−8.35285	+	25.7074i	−0.310431	+	0.955409i
$725$	2.09273			0.0777220
$726$	46.1939	+	16.7290i	1.71442	+	0.620873i
$727$	−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
$729$	0.268157	+	26.9987i	0.00993173	+	0.999951i
$730$	−19.0159	−	13.8159i	−0.703811	−	0.511349i
$731$	−10.7519	+	3.49351i	−0.397675	+	0.129212i
$732$	−0.999036	+	19.6862i	−0.0369254	+	0.727623i
$733$	−11.3602	+	15.6359i	−0.419598	+	0.577526i	−0.965526	−	0.260305i	$-0.916177\pi$
$733$	−11.3602	+	15.6359i	−0.419598	+	0.577526i	0.545929	+	0.837832i	$0.316177\pi$
$734$	−29.3579	+	21.3297i	−1.08362	+	0.787295i
$735$	−5.67894	+	7.03669i	−0.209471	+	0.259552i
$736$		−	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	0.419660	−	0.907682i	$-0.362149\pi$
$739$	6.13418	+	1.99312i	0.225649	+	0.0733179i	−0.194010	+	0.981000i	$0.562149\pi$
$740$	19.9997	+	27.5272i	0.735202	+	1.01192i
$741$	5.17487	−	3.37279i	0.190104	−	0.123903i
$742$	12.5991	+	38.7760i	0.462527	+	1.42351i
$743$	11.1051	+	34.1781i	0.407408	+	1.25387i	0.918867	+	0.394566i	$0.129105\pi$
$743$	11.1051	+	34.1781i	0.407408	+	1.25387i	−0.511459	+	0.859308i	$0.670895\pi$
$744$	22.8628	−	14.9011i	0.838191	−	0.546302i
$745$	−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
$750$	2.80501	−	3.47565i	0.102425	−	0.126913i
$751$	−37.3526	+	27.1383i	−1.36302	+	0.990289i	−0.364769	+	0.931098i	$0.618852\pi$
$751$	−37.3526	+	27.1383i	−1.36302	+	0.990289i	−0.998247	+	0.0591909i	$0.981148\pi$
$752$	−34.4735	+	47.4488i	−1.25712	+	1.73028i
$753$	−0.338635	+	6.67287i	−0.0123406	+	0.243173i
$754$	−7.20098	+	2.33974i	−0.262244	+	0.0852084i
$755$	17.4341	+	12.6666i	0.634493	+	0.460986i
$756$	−75.4397	−	37.9678i	−2.74372	−	1.38087i
$757$	5.62110	−	17.3000i	0.204302	−	0.628778i	−0.795439	−	0.606034i	$-0.792760\pi$
$757$	5.62110	−	17.3000i	0.204302	−	0.628778i	0.999741	−	0.0227440i	$-0.00724027\pi$
$758$	41.8399			1.51970
$759$	0.110672	−	0.0127926i	0.00401715	−	0.000464340i
$760$	17.3650			0.629896
$761$	−11.4073	+	35.1081i	−0.413515	+	1.27267i	0.500058	+	0.865992i	$0.333312\pi$
$761$	−11.4073	+	35.1081i	−0.413515	+	1.27267i	−0.913573	+	0.406675i	$0.866688\pi$
$762$	62.2395	−	16.7875i	2.25470	−	0.608146i
$763$	−23.9978	−	17.4354i	−0.868777	−	0.631204i
$764$	109.875	−	35.7005i	3.97514	−	1.29160i
$765$	20.9092	+	9.22655i	0.755973	+	0.333586i
$766$	−7.59340	+	10.4514i	−0.274361	+	0.377625i
$767$	−11.4755	+	8.33743i	−0.414356	+	0.301047i
$768$	−32.5601	−	26.2775i	−1.17491	−	0.948208i
$769$			48.4790i			1.74820i	0.485748	+	0.874099i	$0.338547\pi$
$769$			48.4790i			1.74820i	−0.485748	+	0.874099i	$0.661453\pi$
$770$	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	$-0.286398\pi$
$773$	−8.76284	−	12.0610i	−0.315178	−	0.433805i	−0.936987	+	0.349364i	$0.886398\pi$
$774$	−11.2212	+	2.42400i	−0.403339	+	0.0871290i
$775$	0.712666	+	2.19336i	0.0255997	+	0.0787878i
$776$	27.6998	+	85.2512i	0.994364	+	3.06034i
$777$	24.1951	+	37.1225i	0.867994	+	1.33176i
$778$	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
$783$	1.75440	+	10.7317i	0.0626973	+	0.383519i
$784$	35.1328	−	25.5254i	1.25474	−	0.911623i
$785$	−6.75164	+	9.29283i	−0.240976	+	0.331675i
$786$	73.7545	+	3.74290i	2.63074	+	0.133505i
$787$	7.66905	−	2.49183i	0.273372	−	0.0888240i	−0.169123	−	0.985595i	$-0.554093\pi$
$787$	7.66905	−	2.49183i	0.273372	−	0.0888240i	0.442495	+	0.896771i	$0.354093\pi$
$788$	54.2085	+	39.3848i	1.93110	+	1.40302i
$789$	9.83473	+	36.4622i	0.350126	+	1.29809i
$790$	1.81947	−	5.59976i	0.0647339	−	0.199230i
$791$	−24.5803			−0.873976
$792$	−36.3351	+	57.4506i	−1.29111	+	2.04142i
$793$	3.43433			0.121957
$794$	31.2301	−	96.1164i	1.10832	−	3.41104i
$795$	−2.04009	−	7.56361i	−0.0723545	−	0.268254i
$796$	−3.47660	−	2.52590i	−0.123225	−	0.0895280i
$797$	48.0378	−	15.6084i	1.70158	−	0.552878i	0.712688	−	0.701481i	$-0.247478\pi$
$797$	48.0378	−	15.6084i	1.70158	−	0.552878i	0.988897	+	0.148603i	$0.0474776\pi$
$798$	39.6346	+	2.01138i	1.40305	+	0.0712021i
$799$	31.5721	−	43.4553i	1.11694	−	1.53734i
$800$	−6.29896	+	4.57646i	−0.222702	+	0.161802i
$801$	−19.2834	−	33.1458i	−0.681344	−	1.17115i
$802$			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
$807$	−11.4596	−	17.5824i	−0.403396	−	0.618930i
$808$	−14.6675	−	45.1421i	−0.516002	−	1.58809i
$809$	−4.44405	−	13.6774i	−0.156245	−	0.480872i	0.842040	−	0.539415i	$-0.181354\pi$
$809$	−4.44405	−	13.6774i	−0.156245	−	0.480872i	−0.998285	+	0.0585432i	$0.981354\pi$
$810$	20.1749	+	11.4706i	0.708875	+	0.403035i
$811$	−7.05493	−	9.71028i	−0.247732	−	0.340974i	0.666983	−	0.745073i	$-0.267585\pi$
$811$	−7.05493	−	9.71028i	−0.247732	−	0.340974i	−0.914715	+	0.404099i	$0.867585\pi$
$812$	−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
$816$	−85.4129	−	68.9322i	−2.99005	−	2.41311i
$817$	3.05157	−	2.21710i	0.106761	−	0.0775664i
$818$	−51.0132	+	70.2137i	−1.78364	+	2.45496i
$819$	−5.94044	+	13.4622i	−0.207576	+	0.470408i
$820$	10.5167	−	3.41709i	0.367260	−	0.119330i
$821$	−8.25167	−	5.99519i	−0.287985	−	0.209233i	0.434408	−	0.900716i	$-0.356958\pi$
$821$	−8.25167	−	5.99519i	−0.287985	−	0.209233i	−0.722393	+	0.691483i	$0.756958\pi$
$822$	43.4036	−	11.7070i	1.51387	−	0.408329i
$823$	−1.37274	+	4.22485i	−0.0478506	+	0.147269i	−0.972127	−	0.234455i	$-0.924669\pi$
$823$	−1.37274	+	4.22485i	−0.0478506	+	0.147269i	0.924276	+	0.381724i	$0.124669\pi$
$824$	82.3230			2.86786
$825$	−3.88788	−	4.22899i	−0.135359	−	0.147235i
$826$	−91.1321			−3.17089
$827$	8.91644	−	27.4420i	0.310055	−	0.954251i	−0.667687	−	0.744442i	$-0.732716\pi$
$827$	8.91644	−	27.4420i	0.310055	−	0.954251i	0.977742	−	0.209809i	$-0.0672843\pi$
$828$	−0.0273852	+	0.269120i	−0.000951701	+	0.00935257i
$829$	34.5496	+	25.1018i	1.19996	+	0.871821i	0.994281	−	0.106799i	$-0.0340601\pi$
$829$	34.5496	+	25.1018i	1.19996	+	0.871821i	0.205678	+	0.978620i	$0.434060\pi$
$830$	−15.0635	+	4.89442i	−0.522861	+	0.169888i
$831$	−1.43989	+	28.3733i	−0.0499492	+	0.984259i
$832$	2.83762	−	3.90564i	0.0983766	−	0.135404i
$833$	−32.1759	+	23.3771i	−1.11483	+	0.809969i
$834$	34.3715	−	42.5892i	1.19019	−	1.47474i
$835$			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	0.966495	+	0.256684i	$0.0826300\pi$
$839$	26.4152	+	36.3574i	0.911953	+	1.25520i	−0.0545422	+	0.998511i	$0.517370\pi$
$840$	−34.6556	+	22.5872i	−1.19573	+	0.779333i
$841$	−7.60815	−	23.4155i	−0.262350	−	0.807430i
$842$	−23.4690	−	72.2301i	−0.808795	−	2.48921i
$843$	−0.327845	+	0.213677i	−0.0112916	+	0.00735944i
$844$	−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
$849$	20.2364	−	25.0746i	0.694510	−	0.860557i
$850$	15.8927	−	11.5467i	0.545115	−	0.396049i
$851$	0.0834234	−	0.114822i	0.00285972	−	0.00393606i
$852$	2.28771	−	45.0797i	0.0783755	−	1.54440i
$853$	−0.535576	+	0.174019i	−0.0183378	+	0.00595830i	−0.318172	−	0.948033i	$-0.603069\pi$
$853$	−0.535576	+	0.174019i	−0.0183378	+	0.00595830i	0.299834	+	0.953991i	$0.403069\pi$
$854$	17.8508	+	12.9694i	0.610842	+	0.443803i
$855$	−7.58609	−	0.771947i	−0.259439	−	0.0264000i
$856$	12.4369	−	38.2767i	0.425083	−	1.30827i
$857$	−1.73333			−0.0592093			−0.0296047	−	0.999562i	$-0.509425\pi$
$857$	−1.73333			−0.0592093			−0.0296047	+	0.999562i	$0.509425\pi$
$858$	18.1062	+	10.2050i	0.618135	+	0.348393i
$859$	−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
$861$	13.9038	−	3.75020i	0.473841	−	0.127806i
$862$	27.3346	+	19.8598i	0.931021	+	0.676426i
$863$	−45.5472	+	14.7992i	−1.55044	+	0.503770i	−0.954235	−	0.299059i	$-0.903327\pi$
$863$	−45.5472	+	14.7992i	−1.55044	+	0.503770i	−0.596210	+	0.802829i	$0.703327\pi$
$864$	−28.7491	−	28.4650i	−0.978064	−	0.968398i
$865$	−11.6292	+	16.0063i	−0.395405	+	0.544229i
$866$	−2.69379	+	1.95716i	−0.0915389	+	0.0665069i
$867$	55.3106	+	44.6383i	1.87845	+	1.51599i
$868$		−	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
$873$	−8.31118	−	38.4742i	−0.281291	−	1.30216i
$874$	−0.0392800	−	0.120891i	−0.00132867	−	0.00408921i
$875$	−1.08026	−	3.32471i	−0.0365195	−	0.112396i
$876$	−40.0812	−	61.4966i	−1.35422	−	2.07778i
$877$	5.18274	+	7.13343i	0.175009	+	0.240879i	0.887506	−	0.460796i	$-0.152436\pi$
$877$	5.18274	+	7.13343i	0.175009	+	0.240879i	−0.712497	+	0.701675i	$0.752436\pi$
$878$	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	$-0.321831\pi$
$882$	−34.9088	+	20.3090i	−1.17544	+	0.683839i
$883$	37.6350	−	27.3434i	1.26652	−	0.920180i	0.267460	−	0.963569i	$-0.413816\pi$
$883$	37.6350	−	27.3434i	1.26652	−	0.920180i	0.999058	+	0.0433891i	$0.0138155\pi$
$884$	−29.2110	+	40.2055i	−0.982472	+	1.35226i
$885$	17.4878	+	0.887471i	0.587845	+	0.0298320i
$886$	−24.7234	+	8.03313i	−0.830600	+	0.269878i
$887$	−20.7629	−	15.0852i	−0.697151	−	0.506510i	0.181852	−	0.983326i	$-0.441791\pi$
$887$	−20.7629	−	15.0852i	−0.697151	−	0.506510i	−0.879003	+	0.476816i	$0.841791\pi$
$888$	22.5516	+	83.6100i	0.756783	+	2.80577i
$889$	15.5917	−	47.9862i	0.522928	−	1.60941i
$890$	−32.9611			−1.10486
$891$	18.4273	−	23.4827i	0.617337	−	0.786699i
$892$	109.870			3.67871
$893$	−5.53800	+	17.0442i	−0.185322	+	0.570363i
$894$	−3.27331	−	12.1358i	−0.109476	−	0.405881i
$895$	3.29734	+	2.39565i	0.110218	+	0.0800779i
$896$	−22.2736	+	7.23712i	−0.744107	+	0.241775i
$897$	0.0470703	+	0.00238872i	0.00157163	+	7.97572e-5i
$898$	4.44432	−	6.11708i	0.148309	−	0.204130i
$899$	−3.90458	+	2.83684i	−0.130225	+	0.0946140i
$900$	12.0564	−	7.01407i	0.401879	−	0.233802i
$901$		−	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
$906$	52.5543	+	80.6341i	1.74600	+	2.67889i
$907$	1.82886	+	5.62867i	0.0607265	+	0.186897i	0.976818	−	0.214073i	$-0.0686731\pi$
$907$	1.82886	+	5.62867i	0.0607265	+	0.186897i	−0.916091	+	0.400970i	$0.868673\pi$
$908$	17.4122	+	53.5891i	0.577843	+	1.77842i
$909$	4.40092	+	20.3728i	0.145969	+	0.675724i
$910$	7.43427	+	10.2324i	0.246444	+	0.339201i
$911$	−20.9569	−	6.80930i	−0.694332	−	0.225602i	−0.0594726	−	0.998230i	$-0.518942\pi$
$911$	−20.9569	−	6.80930i	−0.694332	−	0.225602i	−0.634859	+	0.772628i	$0.718942\pi$
$912$	34.2099	+	13.0670i	1.13280	+	0.432692i
$913$	3.36181	+	20.0922i	0.111260	+	0.664955i
$914$			92.6275i			3.06385i
$915$	−3.29918	−	2.66259i	−0.109067	−	0.0880226i
$916$	−29.5615	+	21.4777i	−0.976739	+	0.709642i
$917$	33.9751	−	46.7627i	1.12196	−	1.54424i
$918$	72.5359	+	71.8190i	2.39404	+	2.37038i
$919$	7.33659	−	2.38380i	0.242012	−	0.0786344i	−0.185500	−	0.982644i	$-0.559390\pi$
$919$	7.33659	−	2.38380i	0.242012	−	0.0786344i	0.427511	+	0.904010i	$0.359390\pi$
$920$	0.107192	+	0.0778796i	0.00353402	+	0.00256761i
$921$	−6.33244	+	1.70801i	−0.208661	+	0.0562809i
$922$	26.3386	−	81.0620i	0.867417	−	2.66963i
$923$	−7.86433			−0.258857
$924$	38.8581	+	84.8988i	1.27834	+	2.79296i
$925$	−7.31822			−0.240622
$926$	18.8873	−	58.1293i	0.620676	−	1.91025i
$927$	−35.9636	−	3.65960i	−1.18120	−	0.120197i
$928$	−13.1820	−	9.57730i	−0.432721	−	0.314390i
$929$	−32.4345	+	10.5386i	−1.06414	+	0.345761i	−0.788204	−	0.615414i	$-0.788989\pi$
$929$	−32.4345	+	10.5386i	−1.06414	+	0.345761i	−0.275939	+	0.961175i	$0.588989\pi$
$930$	−0.522056	+	10.2872i	−0.0171189	+	0.337331i
$931$	7.79968	−	10.7353i	0.255624	−	0.351836i
$932$	−101.448	+	73.7065i	−3.32305	+	2.41434i
$933$	−8.27534	+	10.2539i	−0.270923	+	0.335696i
$934$			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	−0.502498	−	0.864578i	$-0.667586\pi$
$937$	−43.3816	−	14.0955i	−1.41721	−	0.460481i	−0.914716	+	0.404098i	$0.867586\pi$
$938$	−36.9871	−	50.9084i	−1.20767	−	1.66222i
$939$	−13.8192	+	9.00683i	−0.450971	+	0.293927i
$940$	−10.1302	−	31.1775i	−0.330410	−	1.01690i
$941$	−3.28908	−	10.1227i	−0.107221	−	0.329992i	0.883024	−	0.469327i	$-0.155503\pi$
$941$	−3.28908	−	10.1227i	−0.107221	−	0.329992i	−0.990245	+	0.139335i	$0.955503\pi$
$942$	−42.9800	+	28.0128i	−1.40036	+	0.912707i
$943$	−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	$-0.189699\pi$
$948$	11.5482	−	14.3092i	0.375067	−	0.464740i
$949$	−10.3468	+	7.51740i	−0.335872	+	0.244025i
$950$	−3.85251	+	5.30253i	−0.124992	+	0.172037i
$951$	−0.151256	+	2.98052i	−0.00490480	+	0.0966500i
$952$	−173.039	+	56.2237i	−5.60822	+	1.82222i
$953$	−14.5214	−	10.5504i	−0.470394	−	0.341761i	0.327201	−	0.944955i	$-0.393895\pi$
$953$	−14.5214	−	10.5504i	−0.470394	−	0.341761i	−0.797595	+	0.603193i	$0.793895\pi$
$954$	3.54212	−	34.8092i	0.114680	−	1.12699i
$955$	−7.67850	+	23.6320i	−0.248471	+	0.764714i
$956$	−2.65145			−0.0857542
$957$	5.90273	−	10.4729i	0.190808	−	0.338541i
$958$	−48.9745			−1.58230
$959$	10.8731	−	33.4639i	0.351110	−	1.08061i
$960$	−5.75394	+	1.55198i	−0.185707	+	0.0500898i
$961$	20.7766	+	15.0951i	0.670213	+	0.486938i
$962$	25.1817	−	8.18202i	0.811890	−	0.263799i
$963$	−7.13473	+	16.1687i	−0.229914	+	0.521030i
$964$	−36.8008	+	50.6519i	−1.18527	+	1.63139i
$965$	−5.72385	+	4.15862i	−0.184257	+	0.133871i
$966$	0.235639	+	0.190172i	0.00758155	+	0.00611867i
$967$		−	24.1698i		−	0.777247i	−0.921397	−	0.388623i	$-0.872951\pi$
$967$		−	24.1698i		−	0.777247i	0.921397	−	0.388623i	$-0.127049\pi$
$968$	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	$-0.158678\pi$
$971$	4.74206	+	6.52688i	0.152180	+	0.209458i	−0.726120	+	0.687568i	$0.758678\pi$
$972$	46.0760	+	55.9459i	1.47789	+	1.79447i
$973$	−13.2371	−	40.7396i	−0.424362	−	1.30605i
$974$	19.8898	+	61.2146i	0.637311	+	1.96144i
$975$	−1.32695	−	2.03594i	−0.0424965	−	0.0652023i
$976$	11.9677	+	16.4721i	0.383077	+	0.527260i
$977$	22.2538	+	7.23069i	0.711962	+	0.231330i	0.642535	−	0.766257i	$-0.277883\pi$
$977$	22.2538	+	7.23069i	0.711962	+	0.231330i	0.0694271	+	0.997587i	$0.477883\pi$
$978$	30.6239	−	80.1743i	0.979243	−	2.56369i
$979$	−6.26722	+	41.9284i	−0.200301	+	1.34004i
$980$			24.2729i			0.775370i
$981$	12.8008	+	22.0031i	0.408699	+	0.702506i
$982$	−10.0740	+	7.31920i	−0.321475	+	0.233565i
$983$	23.6655	−	32.5727i	0.754812	−	1.03891i	−0.242816	−	0.970072i	$-0.578071\pi$
$983$	23.6655	−	32.5727i	0.754812	−	1.03891i	0.997628	−	0.0688367i	$-0.0219287\pi$
$984$	28.1073	+	1.42639i	0.896029	+	0.0454717i
$985$	−13.7062	+	4.45342i	−0.436716	+	0.141898i
$986$	33.2591	+	24.1642i	1.05919	+	0.769544i
$987$	−11.1177	−	41.2188i	−0.353880	−	1.31201i
$988$	5.12384	−	15.7696i	0.163011	−	0.501696i
$989$	0.0287803			0.000915160
$990$	−9.48183	−	23.8409i	−0.301352	−	0.757712i
$991$	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
$993$	−5.51733	−	20.4555i	−0.175087	−	0.649135i
$994$	−40.8768	−	29.6987i	−1.29653	−	0.941987i
$995$	0.879033	−	0.285615i	0.0278672	−	0.00905460i
$996$	−49.4001	−	2.50696i	−1.56530	−	0.0794360i
$997$	24.2372	−	33.3596i	0.767599	−	1.05651i	−0.228945	−	0.973439i	$-0.573528\pi$
$997$	24.2372	−	33.3596i	0.767599	−	1.05651i	0.996544	−	0.0830695i	$-0.0264723\pi$
$998$	−20.3184	+	14.7622i	−0.643168	+	0.467289i
$999$	−6.13511	−	37.5284i	−0.194106	−	1.18735i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	165.2.p.a.101.1	✓	16
3.2	odd	2	inner	165.2.p.a.101.4	yes	16
5.2	odd	4		825.2.bs.e.299.1		16
5.3	odd	4		825.2.bs.f.299.4		16
5.4	even	2		825.2.bi.d.101.4		16
11.6	odd	10	inner	165.2.p.a.116.4	yes	16
15.2	even	4		825.2.bs.f.299.3		16
15.8	even	4		825.2.bs.e.299.2		16
15.14	odd	2		825.2.bi.d.101.1		16
33.17	even	10	inner	165.2.p.a.116.1	yes	16
55.17	even	20		825.2.bs.e.149.2		16
55.28	even	20		825.2.bs.f.149.3		16
55.39	odd	10		825.2.bi.d.776.1		16
165.17	odd	20		825.2.bs.f.149.4		16
165.83	odd	20		825.2.bs.e.149.1		16
165.149	even	10		825.2.bi.d.776.4		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
165.2.p.a.101.1	✓	16	1.1	even	1	trivial
165.2.p.a.101.4	yes	16	3.2	odd	2	inner
165.2.p.a.116.1	yes	16	33.17	even	10	inner
165.2.p.a.116.4	yes	16	11.6	odd	10	inner
825.2.bi.d.101.1		16	15.14	odd	2
825.2.bi.d.101.4		16	5.4	even	2
825.2.bi.d.776.1		16	55.39	odd	10
825.2.bi.d.776.4		16	165.149	even	10
825.2.bs.e.149.1		16	165.83	odd	20
825.2.bs.e.149.2		16	55.17	even	20
825.2.bs.e.299.1		16	5.2	odd	4
825.2.bs.e.299.2		16	15.8	even	4
825.2.bs.f.149.3		16	55.28	even	20
825.2.bs.f.149.4		16	165.17	odd	20
825.2.bs.f.299.3		16	15.2	even	4
825.2.bs.f.299.4		16	5.3	odd	4

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)

\(f(q)\)	\(=\)	\(q+(-0.796845 + 2.45244i) q^{2} +(-0.451057 - 1.67229i) q^{3} +(-3.76145 - 2.73286i) q^{4} +(0.951057 - 0.309017i) q^{5} +(4.46061 + 0.226367i) q^{6} +(2.05478 - 2.82816i) q^{7} +(5.52712 - 4.01569i) q^{8} +(-2.59310 + 1.50859i) q^{9} +O(q^{10})\)	\(q+(-0.796845 + 2.45244i) q^{2} +(-0.451057 - 1.67229i) q^{3} +(-3.76145 - 2.73286i) q^{4} +(0.951057 - 0.309017i) q^{5} +(4.46061 + 0.226367i) q^{6} +(2.05478 - 2.82816i) q^{7} +(5.52712 - 4.01569i) q^{8} +(-2.59310 + 1.50859i) 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} +(-0.945746 - 1.45106i) q^{15} +(2.57047 + 7.91110i) q^{16} +(-2.35413 - 7.24527i) q^{17} +(-1.63343 - 7.56152i) 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} +(-9.20844 - 7.43164i) q^{24} +(0.809017 - 0.587785i) q^{25} +(-2.12663 + 2.92705i) q^{26} +(3.69244 + 3.65594i) q^{27} +(-15.4579 + 5.02259i) q^{28} +(1.69305 + 1.23007i) q^{29} +(4.31224 - 1.16311i) q^{30} +(-0.712666 + 2.19336i) q^{31} -7.78595 q^{32} +(-0.659620 - 5.70657i) q^{33} +19.6445 q^{34} +(1.08026 - 3.32471i) q^{35} +(13.8766 + 1.41206i) q^{36} +(-5.92057 - 4.30154i) q^{37} +(-6.23350 + 2.02539i) q^{38} +(0.123169 - 2.42707i) q^{39} +(4.01569 - 5.52712i) q^{40} +(-1.92413 + 1.39796i) q^{41} +(9.80577 - 12.1502i) 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} +(12.0702 - 7.86692i) q^{48} +(-1.61327 - 4.96513i) q^{49} +(0.796845 + 2.45244i) q^{50} +(-11.0543 + 7.20481i) 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} +(2.76489 - 3.42593i) q^{57} +(-4.36578 + 3.17193i) q^{58} +(-5.94225 + 8.17881i) q^{59} +(-0.408150 + 8.04267i) q^{60} +(2.32792 - 0.756387i) q^{61} +(-4.81120 - 3.49554i) q^{62} +(-1.06170 + 10.4335i) q^{63} +(1.06325 - 3.27235i) q^{64} +1.40308 q^{65} +(14.5206 + 2.92957i) q^{66} -6.98061 q^{67} +(-10.9453 + 33.6863i) q^{68} +(0.0324321 - 0.00874771i) q^{69} +(7.29283 + 5.29855i) q^{70} +(-5.33073 + 1.73206i) q^{71} +(-8.27432 + 18.7512i) q^{72} +(-5.35781 + 7.37439i) q^{73} +(15.2670 - 11.0922i) q^{74} +(-1.34786 - 1.08779i) 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} +(4.44829 - 7.82385i) q^{81} +(-1.89518 - 5.83276i) q^{82} +(1.89806 + 5.84162i) q^{83} +(15.3716 + 23.5847i) 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} +(-3.89013 - 6.68668i) q^{90} +(3.96813 - 2.88301i) q^{91} +(0.0530006 - 0.0729490i) q^{92} +(3.98938 + 0.202453i) q^{93} +(-17.2916 + 5.61838i) q^{94} +(2.05632 + 1.49401i) q^{95} +(3.51190 + 13.0203i) q^{96} +(-4.05448 + 12.4784i) q^{97} +13.4622 q^{98} +(-9.24550 + 3.67706i) 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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