LMFDB - Embedded newform 165.2.p.a.116.1

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			116.1
Root			$-1.28932 + 0.418926i$ of defining polynomial
Character	$\chi$	$=$	165.116
Dual form			165.2.p.a.101.1

$q$-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 $\left(\mathbb{Z}/165\mathbb{Z}\right)^\times$.

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

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	$-0.734779\pi$
$2$	−0.796845	−	2.45244i	−0.563455	−	1.73414i	0.109044	−	0.994037i	$-0.465221\pi$
$3$	−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	0.995645	+	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
$9$	−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	−0.118063	−	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
$15$	−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	0.0785777	+	0.996908i	$0.474962\pi$
$17$	−2.35413	+	7.24527i	−0.570961	+	1.75724i	−0.649538	+	0.760329i	$0.725038\pi$
$18$	−1.63343	+	7.56152i	−0.385004	+	1.78227i
$19$	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	$-0.999356\pi$
$23$		−	0.0193938i		−	0.00404389i	0.999998	−	0.00202195i	$-0.000643606\pi$
$24$	−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	−0.419387	−	0.907808i	$-0.637755\pi$
$29$	1.69305	−	1.23007i	0.314392	−	0.228419i	0.733779	+	0.679388i	$0.237755\pi$
$30$	4.31224	+	1.16311i	0.787304	+	0.212355i
$31$	−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
$33$	−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	−0.956209	−	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
$39$	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	0.427311	−	0.904105i	$-0.359461\pi$
$41$	−1.92413	−	1.39796i	−0.300498	−	0.218325i	−0.727809	+	0.685780i	$0.759461\pi$
$42$	9.80577	+	12.1502i	1.51306	+	1.87482i
$43$			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	−0.391598	−	0.920136i	$-0.628078\pi$
$47$	4.14434	−	5.70420i	0.604514	−	0.832042i	0.996112	+	0.0880940i	$0.0280776\pi$
$48$	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	0.00170144	−	0.999999i	$-0.499458\pi$
$53$	4.30154	−	1.39766i	0.590862	−	0.191983i	0.589161	+	0.808016i	$0.299458\pi$
$54$	−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	−0.995958	−	0.0898216i	$-0.971370\pi$
$59$	−5.94225	−	8.17881i	−0.773615	−	1.06479i	0.222342	−	0.974969i	$-0.428630\pi$
$60$	−0.408150	−	8.04267i	−0.0526919	−	1.03830i
$61$	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
$63$	−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	−0.0248966	−	0.999690i	$-0.507926\pi$
$71$	−5.33073	−	1.73206i	−0.632641	−	0.205558i	−0.607745	+	0.794132i	$0.707926\pi$
$72$	−8.27432	−	18.7512i	−0.975138	−	2.20986i
$73$	−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
$75$	−1.34786	+	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	−0.428619	−	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
$81$	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	−0.791221	−	0.611531i	$-0.790554\pi$
$83$	1.89806	−	5.84162i	0.208339	−	0.641201i	0.999560	−	0.0296708i	$-0.00944590\pi$
$84$	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	$-0.763080\pi$
$89$		−	12.7823i		−	1.35493i	0.735557	−	0.677463i	$-0.236920\pi$
$90$	−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	−0.915196	−	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
$99$	−9.24550	−	3.67706i	−0.929208	−	0.369558i
$100$	−4.64941			−0.464941
$101$	2.14692	+	6.60754i	0.213627	+	0.657475i	0.999248	+	0.0387677i	$0.0123432\pi$
$101$	2.14692	+	6.60754i	0.213627	+	0.657475i	−0.785622	+	0.618707i	$0.787657\pi$
$102$	−8.86076	+	32.8512i	−0.877346	+	3.25275i
$103$	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
$105$	−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	0.793820	−	0.608153i	$-0.208089\pi$
$107$	4.76590	+	3.46263i	0.460737	+	0.334745i	−0.333084	+	0.942897i	$0.608089\pi$
$108$	−3.89776	+	23.8426i	−0.375062	+	2.29425i
$109$			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	−0.957888	−	0.287143i	$-0.907294\pi$
$113$	−4.13294	+	5.68851i	−0.388794	+	0.535130i	0.569093	+	0.822273i	$0.307294\pi$
$114$	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	0.846374	−	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
$129$	−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	0.687915	−	0.725791i	$-0.258526\pi$
$137$	9.57259	+	3.11032i	0.817841	+	0.265733i	0.129926	+	0.991524i	$0.458526\pi$
$138$	−0.00439012	−	0.0865082i	−0.000373712	−	0.00736407i
$139$	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
$141$	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	−0.980339	−	0.197322i	$-0.936775\pi$
$149$	−0.869654	+	2.67652i	−0.0712448	+	0.219269i	0.909094	+	0.416591i	$0.136775\pi$
$150$	3.74176	+	2.43874i	0.305513	+	0.199123i
$151$	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
$156$	−7.09614	−	8.79273i	−0.568146	−	0.703982i
$157$	−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
$159$	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	0.858859	+	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
$165$	−2.39076	+	5.22343i	−0.186121	+	0.406644i
$166$	−15.8387			−1.22932
$167$	−2.52265	−	7.76393i	−0.195209	−	0.600791i	−0.999974	−	0.00719787i	$-0.997709\pi$
$167$	−2.52265	−	7.76393i	−0.195209	−	0.600791i	0.804765	−	0.593593i	$-0.202291\pi$
$168$	−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	−0.221091	−	0.975253i	$-0.570962\pi$
$173$	−16.0063	−	11.6292i	−1.21693	−	0.884153i	−0.995842	+	0.0910997i	$0.970962\pi$
$174$	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	−0.710047	−	0.704154i	$-0.751326\pi$
$179$	2.39565	−	3.29734i	0.179060	−	0.246454i	0.889107	+	0.457700i	$0.151326\pi$
$180$	13.6338	+	2.94515i	1.01620	+	0.219519i
$181$	−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
$183$	−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	−0.882754	−	0.469836i	$-0.844313\pi$
$191$	−14.6054	−	20.1026i	−1.05681	−	1.45457i	−0.174055	−	0.984736i	$-0.555687\pi$
$192$	−5.95191	+	0.302048i	−0.429542	+	0.0217984i
$193$	−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
$195$	−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	0.269350	−	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
$213$	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	−0.280662	−	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
$225$	−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	−0.863528	−	0.504301i	$-0.831750\pi$
$227$	−9.80460	+	7.12346i	−0.650754	+	0.472800i	0.212774	+	0.977101i	$0.431750\pi$
$228$	−19.7626	−	5.33044i	−1.30881	−	0.353017i
$229$	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
$231$	−17.4945	+	9.86024i	−1.15105	+	0.648756i
$232$	14.2973			0.938664
$233$	8.33434	+	25.6505i	0.546001	+	1.68042i	0.718599	+	0.695425i	$0.244784\pi$
$233$	8.33434	+	25.6505i	0.546001	+	1.68042i	−0.172598	+	0.984992i	$0.555216\pi$
$234$	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	0.602607	−	0.798038i	$-0.294129\pi$
$239$	0.461364	+	0.335200i	0.0298431	+	0.0216823i	−0.572764	+	0.819721i	$0.694129\pi$
$240$	9.04844	+	11.2118i	0.584074	+	0.723718i
$241$			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
$246$	−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	−0.422503	−	0.906362i	$-0.638848\pi$
$251$	−3.66874	+	1.19205i	−0.231569	+	0.0752412i	0.190934	+	0.981603i	$0.438848\pi$
$252$	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	0.961961	−	0.273186i	$-0.0880776\pi$
$257$	6.49077	+	8.93378i	0.404883	+	0.557274i	−0.557078	+	0.830460i	$0.688078\pi$
$258$	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	0.638474	−	0.769643i	$-0.279566\pi$
$269$	11.5239	+	3.74435i	0.702626	+	0.228297i	0.0641517	+	0.997940i	$0.479566\pi$
$270$	−9.42738	−	9.52148i	−0.573732	−	0.579459i
$271$	−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
$273$	−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	−0.737540	−	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
$279$	−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	−0.953117	−	0.302601i	$-0.902145\pi$
$281$	−0.0698179	+	0.214877i	−0.00416499	+	0.0128185i	0.948952	+	0.315419i	$0.102145\pi$
$282$	17.1950	−	26.3823i	1.02395	−	1.57104i
$283$	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
$288$	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	−0.817595	−	0.575793i	$-0.804693\pi$
$293$	−8.94606	+	6.49970i	−0.522635	+	0.379716i	0.294961	+	0.955509i	$0.404693\pi$
$294$	−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	$0.0344635\pi$
$307$			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	−0.916754	−	0.399452i	$-0.869201\pi$
$311$	−4.47159	+	6.15461i	−0.253560	+	0.348996i	0.663194	+	0.748448i	$0.269201\pi$
$312$	−9.06561	+	13.9093i	−0.513239	+	0.787462i
$313$	−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
$315$	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	−0.354674	−	0.934990i	$-0.615408\pi$
$317$	−1.63869	+	0.532442i	−0.0920379	+	0.0299049i	0.262636	+	0.964895i	$0.415408\pi$
$318$	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	−0.921106	−	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
$339$	−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	−0.972399	−	0.233325i	$-0.925039\pi$
$347$	−0.904695	+	2.78436i	−0.0485666	+	0.149473i	0.923832	+	0.382798i	$0.125039\pi$
$348$	−14.1187	−	9.20207i	−0.756843	−	0.493283i
$349$	−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	$-0.751516\pi$
$353$		−	26.4438i		−	1.40746i	0.710466	−	0.703731i	$-0.248484\pi$
$354$	−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	−0.626430	−	0.779478i	$-0.715484\pi$
$359$	−1.49076	+	1.08310i	−0.0786792	+	0.0571638i	0.547750	+	0.836642i	$0.315484\pi$
$360$	−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	−0.249557	−	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
$369$	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	$-0.997342\pi$
$373$		−	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
$378$	−7.09762	−	46.2995i	−0.365062	−	2.38139i
$379$	−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
$381$	−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	−0.184744	−	0.982787i	$-0.559146\pi$
$383$	4.76466	−	1.54813i	0.243463	−	0.0791059i	0.428207	+	0.903681i	$0.359146\pi$
$384$	−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	0.841636	−	0.540045i	$-0.181593\pi$
$389$	1.34004	+	1.84441i	0.0679427	+	0.0935150i	−0.773693	+	0.633560i	$0.781593\pi$
$390$	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	0.456308	−	0.889822i	$-0.349171\pi$
$401$	6.05646	+	1.96786i	0.302445	+	0.0982703i	−0.153863	+	0.988092i	$0.549171\pi$
$402$	−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	0.619999	−	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
$411$	−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	$0.154341\pi$
$419$			19.0816i			0.932198i	−0.884733	+	0.466099i	$0.845659\pi$
$420$	21.9073	−	17.6803i	1.06897	−	0.862708i
$421$	−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
$423$	−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	0.999976	+	0.00689751i	$0.00219556\pi$
$431$	4.04898	+	12.4615i	0.195033	+	0.600249i	−0.804943	+	0.593351i	$0.797804\pi$
$432$	−19.4312	−	38.6087i	−0.934885	−	1.85756i
$433$	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
$435$	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	$0.269297\pi$
$439$			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	−0.644709	−	0.764428i	$-0.723021\pi$
$443$	5.92556	−	8.15584i	0.281532	−	0.387496i	0.926241	+	0.376933i	$0.123021\pi$
$444$	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	−0.374080	−	0.927397i	$-0.622041\pi$
$449$	−2.78870	+	0.906102i	−0.131607	+	0.0427616i	0.242473	+	0.970158i	$0.422041\pi$
$450$	−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	0.966630	−	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
$459$	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	0.765364	−	0.643598i	$-0.222559\pi$
$467$	21.7454	+	7.06552i	1.00626	+	0.326953i	0.240895	+	0.970551i	$0.422559\pi$
$468$	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	−0.722789	−	0.691069i	$-0.757140\pi$
$479$	5.86896	−	18.0628i	0.268160	−	0.825310i	0.990949	−	0.134242i	$-0.0428598\pi$
$480$	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	0.942290	−	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
$489$	−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	−0.496132	−	0.868247i	$-0.665247\pi$
$491$	3.90671	−	2.83839i	0.176307	−	0.128095i	0.672439	+	0.740153i	$0.265247\pi$
$492$	−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	−0.397281	−	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
$501$	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	0.991359	−	0.131179i	$-0.0418764\pi$
$503$	26.3064	+	19.1128i	1.17295	+	0.852195i	0.181588	+	0.983375i	$0.441876\pi$
$504$	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	−0.913267	−	0.407362i	$-0.866449\pi$
$509$	−5.49649	+	7.56528i	−0.243628	+	0.335325i	0.669639	+	0.742687i	$0.266449\pi$
$510$	−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	0.522814	−	0.852447i	$-0.324882\pi$
$521$	−10.2593	−	14.1208i	−0.449469	−	0.618641i	−0.972283	+	0.233805i	$0.924882\pi$
$522$	6.53575	+	14.8113i	0.286062	+	0.648273i
$523$	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
$525$	−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	−0.648689	−	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
$543$	−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	−0.852554	−	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
$552$	0.144128	+	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	0.106267	−	0.994338i	$-0.466110\pi$
$557$	25.6016	−	18.6007i	1.08478	−	0.788136i	0.978510	+	0.206202i	$0.0661103\pi$
$558$	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	0.951762	−	0.306837i	$-0.0992707\pi$
$563$	0.0335988	+	0.103406i	0.00141602	+	0.00435806i	−0.950346	+	0.311195i	$0.899271\pi$
$564$	−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	0.425992	−	0.904727i	$-0.359925\pi$
$569$	−7.22329	−	5.24803i	−0.302816	−	0.220009i	−0.728808	+	0.684718i	$0.759925\pi$
$570$	8.83426	−	7.12966i	0.370026	−	0.298629i
$571$		−	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
$576$	2.17953	−	10.0895i	0.0908140	−	0.420398i
$577$	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
$579$	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	0.730603	−	0.682803i	$-0.239239\pi$
$587$	−3.50216	−	4.82031i	−0.144550	−	0.198955i	−0.875153	+	0.483847i	$0.839239\pi$
$588$	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	−0.183867	−	0.982951i	$-0.558862\pi$
$599$	−22.2811	−	7.23958i	−0.910383	−	0.295801i	−0.726516	+	0.687150i	$0.758862\pi$
$600$	−11.8180	+	0.599740i	−0.482467	+	0.0244843i
$601$	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
$603$	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	−0.665674	−	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
$609$	−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	−0.842605	−	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	$0.125907\pi$
$617$			19.1421i			0.770631i	−0.922785	+	0.385316i	$0.874093\pi$
$618$	41.8809	−	33.7998i	1.68469	−	1.35963i
$619$	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
$621$	−0.0709027	−	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	−0.966222	−	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
$633$	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	−0.653352	−	0.757055i	$-0.726638\pi$
$641$	6.79907	−	9.35811i	0.268547	−	0.369623i	0.921898	+	0.387432i	$0.126638\pi$
$642$	22.0426	+	14.3666i	0.869952	+	0.567003i
$643$	−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
$645$	−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	−0.645855	−	0.763460i	$-0.723499\pi$
$647$	−18.3042	+	5.94739i	−0.719612	+	0.233816i	−0.0737570	+	0.997276i	$0.523499\pi$
$648$	−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	0.806992	−	0.590563i	$-0.201094\pi$
$653$	−0.103265	−	0.142132i	−0.00404107	−	0.00556205i	−0.811033	+	0.585001i	$0.801094\pi$
$654$	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	−0.688829	−	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
$675$	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	−0.837015	−	0.547180i	$-0.815701\pi$
$677$	4.20910	−	12.9543i	0.161769	−	0.497873i	0.998784	+	0.0493070i	$0.0157013\pi$
$678$	−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	$0.284867\pi$
$683$			40.7782i			1.56034i	−0.625570	+	0.780168i	$0.715133\pi$
$684$	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	−0.956798	−	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
$693$	−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	0.987167	+	0.159691i	$0.0510497\pi$
$701$	38.2344	+	27.7789i	1.44409	+	1.04920i	0.456926	+	0.889505i	$0.348950\pi$
$702$	−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	−0.899229	−	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
$711$	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	0.364146	−	0.931342i	$-0.381361\pi$
$719$	−17.0040	−	23.4039i	−0.634140	−	0.872819i	−0.998286	+	0.0585227i	$0.981361\pi$
$720$	−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	0.545929	−	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
$735$	−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	−0.194010	−	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
$741$	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	−0.511459	−	0.859308i	$-0.670895\pi$
$743$	11.1051	−	34.1781i	0.407408	−	1.25387i	0.918867	−	0.394566i	$-0.129105\pi$
$744$	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	−0.998247	−	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
$753$	−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	0.999741	+	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
$759$	0.110672	+	0.0127926i	0.00401715	+	0.000464340i
$760$	17.3650			0.629896
$761$	−11.4073	−	35.1081i	−0.413515	−	1.27267i	−0.913573	−	0.406675i	$-0.866688\pi$
$761$	−11.4073	−	35.1081i	−0.413515	−	1.27267i	0.500058	−	0.865992i	$-0.333312\pi$
$762$	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	$-0.661453\pi$
$769$		−	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	−0.936987	−	0.349364i	$-0.886398\pi$
$773$	−8.76284	+	12.0610i	−0.315178	+	0.433805i	0.621810	+	0.783168i	$0.286398\pi$
$774$	−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	0.442495	−	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
$789$	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	0.988897	−	0.148603i	$-0.0474776\pi$
$797$	48.0378	+	15.6084i	1.70158	+	0.552878i	0.712688	+	0.701481i	$0.247478\pi$
$798$	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	−0.998285	−	0.0585432i	$-0.981354\pi$
$809$	−4.44405	+	13.6774i	−0.156245	+	0.480872i	0.842040	+	0.539415i	$0.181354\pi$
$810$	20.1749	−	11.4706i	0.708875	−	0.403035i
$811$	−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
$816$	−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	−0.722393	−	0.691483i	$-0.756958\pi$
$821$	−8.25167	+	5.99519i	−0.287985	+	0.209233i	0.434408	+	0.900716i	$0.356958\pi$
$822$	43.4036	+	11.7070i	1.51387	+	0.408329i
$823$	−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
$825$	−3.88788	+	4.22899i	−0.135359	+	0.147235i
$826$	−91.1321			−3.17089
$827$	8.91644	+	27.4420i	0.310055	+	0.954251i	0.977742	+	0.209809i	$0.0672843\pi$
$827$	8.91644	+	27.4420i	0.310055	+	0.954251i	−0.667687	+	0.744442i	$0.732716\pi$
$828$	−0.0273852	−	0.269120i	−0.000951701	−	0.00935257i
$829$	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
$831$	−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	−0.0545422	−	0.998511i	$-0.517370\pi$
$839$	26.4152	−	36.3574i	0.911953	−	1.25520i	0.966495	−	0.256684i	$-0.0826300\pi$
$840$	−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	0.299834	−	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
$855$	−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	−0.596210	−	0.802829i	$-0.703327\pi$
$863$	−45.5472	−	14.7992i	−1.55044	−	0.503770i	−0.954235	+	0.299059i	$0.903327\pi$
$864$	−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	−0.712497	−	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	$0.321831\pi$
$881$			50.3043i			1.69479i	−0.530960	+	0.847397i	$0.678169\pi$
$882$	−34.9088	−	20.3090i	−1.17544	−	0.683839i
$883$	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
$885$	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	−0.879003	−	0.476816i	$-0.841791\pi$
$887$	−20.7629	+	15.0852i	−0.697151	+	0.506510i	0.181852	+	0.983326i	$0.441791\pi$
$888$	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	−0.916091	−	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
$909$	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	−0.634859	−	0.772628i	$-0.718942\pi$
$911$	−20.9569	+	6.80930i	−0.694332	+	0.225602i	−0.0594726	+	0.998230i	$0.518942\pi$
$912$	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	0.427511	−	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
$921$	−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	−0.275939	−	0.961175i	$-0.588989\pi$
$929$	−32.4345	−	10.5386i	−1.06414	−	0.345761i	−0.788204	+	0.615414i	$0.788989\pi$
$930$	−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	−0.914716	−	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
$939$	−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	−0.990245	−	0.139335i	$-0.955503\pi$
$941$	−3.28908	+	10.1227i	−0.107221	+	0.329992i	0.883024	+	0.469327i	$0.155503\pi$
$942$	−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	$0.189699\pi$
$947$			34.5462i			1.12260i	−0.827612	+	0.561301i	$0.810301\pi$
$948$	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	−0.797595	−	0.603193i	$-0.793895\pi$
$953$	−14.5214	+	10.5504i	−0.470394	+	0.341761i	0.327201	+	0.944955i	$0.393895\pi$
$954$	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	$0.127049\pi$
$967$			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	−0.726120	−	0.687568i	$-0.758678\pi$
$971$	4.74206	−	6.52688i	0.152180	−	0.209458i	0.878300	+	0.478111i	$0.158678\pi$
$972$	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	0.0694271	−	0.997587i	$-0.477883\pi$
$977$	22.2538	−	7.23069i	0.711962	−	0.231330i	0.642535	+	0.766257i	$0.277883\pi$
$978$	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	0.997628	+	0.0688367i	$0.0219287\pi$
$983$	23.6655	+	32.5727i	0.754812	+	1.03891i	−0.242816	+	0.970072i	$0.578071\pi$
$984$	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	0.996544	+	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
$999$	−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.116.1	yes	16
3.2	odd	2	inner	165.2.p.a.116.4	yes	16
5.2	odd	4		825.2.bs.f.149.4		16
5.3	odd	4		825.2.bs.e.149.1		16
5.4	even	2		825.2.bi.d.776.4		16
11.2	odd	10	inner	165.2.p.a.101.4	yes	16
15.2	even	4		825.2.bs.e.149.2		16
15.8	even	4		825.2.bs.f.149.3		16
15.14	odd	2		825.2.bi.d.776.1		16
33.2	even	10	inner	165.2.p.a.101.1	✓	16
55.2	even	20		825.2.bs.f.299.3		16
55.13	even	20		825.2.bs.e.299.2		16
55.24	odd	10		825.2.bi.d.101.1		16
165.2	odd	20		825.2.bs.e.299.1		16
165.68	odd	20		825.2.bs.f.299.4		16
165.134	even	10		825.2.bi.d.101.4		16

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

\(f(q)\)	\(=\)	\(q+(-0.796845 - 2.45244i) q^{2} +(-0.451057 + 1.67229i) q^{3} +(-3.76145 + 2.73286i) q^{4} +(0.951057 + 0.309017i) q^{5} +(4.46061 - 0.226367i) q^{6} +(2.05478 + 2.82816i) q^{7} +(5.52712 + 4.01569i) q^{8} +(-2.59310 - 1.50859i) q^{9} +O(q^{10})\)	\(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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