LMFDB - Embedded newform 418.2.j.a.23.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [418,2,Mod(23,418)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(418, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 2]))

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

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

chi := DirichletCharacter("418.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 418 = 2 \cdot 11 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	418.j (of order $9$, degree $6$, 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:	$3.33774680449$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$4$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			23.1
Character	$\chi$	$=$	418.23
Dual form			418.2.j.a.309.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.939693 + 0.342020i) q^{2} +(-0.293621 - 1.66521i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-3.02184 + 2.53563i) q^{5} +(0.293621 - 1.66521i) q^{6} +(-1.16294 + 2.01427i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.132366 - 0.0481775i) q^{9} +O(q^{10})$	\(q+(0.939693 + 0.342020i) q^{2} +(-0.293621 - 1.66521i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-3.02184 + 2.53563i) q^{5} +(0.293621 - 1.66521i) q^{6} +(-1.16294 + 2.01427i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.132366 - 0.0481775i) q^{9} +(-3.70684 + 1.34918i) q^{10} +(0.500000 + 0.866025i) q^{11} +(0.845449 - 1.46436i) q^{12} +(-1.16483 + 6.60609i) q^{13} +(-1.78172 + 1.49504i) q^{14} +(5.10963 + 4.28749i) q^{15} +(0.173648 + 0.984808i) q^{16} +(6.72216 + 2.44667i) q^{17} +0.140861 q^{18} +(-3.39697 - 2.73140i) q^{19} -3.94474 q^{20} +(3.69564 + 1.34510i) q^{21} +(0.173648 + 0.984808i) q^{22} +(-2.01149 - 1.68784i) q^{23} +(1.29530 - 1.08689i) q^{24} +(1.83389 - 10.4005i) q^{25} +(-3.35400 + 5.80930i) q^{26} +(-2.65544 - 4.59936i) q^{27} +(-2.18561 + 0.795496i) q^{28} +(-2.93125 + 1.06689i) q^{29} +(3.33507 + 5.77652i) q^{30} +(-2.83765 + 4.91495i) q^{31} +(-0.173648 + 0.984808i) q^{32} +(1.29530 - 1.08689i) q^{33} +(5.47996 + 4.59823i) q^{34} +(-1.59322 - 9.03557i) q^{35} +(0.132366 + 0.0481775i) q^{36} +7.47704 q^{37} +(-2.25792 - 3.72851i) q^{38} +11.3426 q^{39} +(-3.70684 - 1.34918i) q^{40} +(0.00883395 + 0.0500998i) q^{41} +(3.01271 + 2.52797i) q^{42} +(-2.09631 + 1.75901i) q^{43} +(-0.173648 + 0.984808i) q^{44} +(-0.277831 + 0.481217i) q^{45} +(-1.31290 - 2.27402i) q^{46} +(1.51116 - 0.550019i) q^{47} +(1.58893 - 0.578321i) q^{48} +(0.795155 + 1.37725i) q^{49} +(5.28047 - 9.14604i) q^{50} +(2.10044 - 11.9122i) q^{51} +(-5.13863 + 4.31182i) q^{52} +(-4.62983 - 3.88489i) q^{53} +(-0.922224 - 5.23019i) q^{54} +(-3.70684 - 1.34918i) q^{55} -2.32587 q^{56} +(-3.55094 + 6.45868i) q^{57} -3.11937 q^{58} +(-1.79584 - 0.653633i) q^{59} +(1.15826 + 6.56881i) q^{60} +(1.57574 + 1.32221i) q^{61} +(-4.34752 + 3.64801i) q^{62} +(-0.0568917 + 0.322649i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-13.2306 - 22.9162i) q^{65} +(1.58893 - 0.578321i) q^{66} +(4.01443 - 1.46113i) q^{67} +(3.57679 + 6.19518i) q^{68} +(-2.21999 + 3.84513i) q^{69} +(1.59322 - 9.03557i) q^{70} +(10.7750 - 9.04133i) q^{71} +(0.107906 + 0.0905440i) q^{72} +(2.42666 + 13.7623i) q^{73} +(7.02612 + 2.55730i) q^{74} -17.8575 q^{75} +(-0.846522 - 4.27591i) q^{76} -2.32587 q^{77} +(10.6585 + 3.87938i) q^{78} +(0.744613 + 4.22291i) q^{79} +(-3.02184 - 2.53563i) q^{80} +(-6.55548 + 5.50070i) q^{81} +(-0.00883395 + 0.0500998i) q^{82} +(2.59399 - 4.49293i) q^{83} +(1.96641 + 3.40592i) q^{84} +(-26.5172 + 9.65145i) q^{85} +(-2.57150 + 0.935951i) q^{86} +(2.63727 + 4.56788i) q^{87} +(-0.500000 + 0.866025i) q^{88} +(1.47028 - 8.33835i) q^{89} +(-0.425661 + 0.357172i) q^{90} +(-11.9518 - 10.0288i) q^{91} +(-0.455967 - 2.58592i) q^{92} +(9.01761 + 3.28214i) q^{93} +1.60815 q^{94} +(17.1909 - 0.359591i) q^{95} +1.69090 q^{96} +(14.8885 + 5.41898i) q^{97} +(0.276154 + 1.56615i) q^{98} +(0.107906 + 0.0905440i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + 12 q^{8}+O(q^{10}) $ 24 * q + 12 * q^8	$ 24 q + 12 q^{8} + 12 q^{11} - 3 q^{12} - 3 q^{13} + 3 q^{14} + 27 q^{15} - 6 q^{18} - 21 q^{19} - 18 q^{20} + 15 q^{21} + 9 q^{23} + 36 q^{25} - 21 q^{27} - 3 q^{28} - 9 q^{30} - 27 q^{31} - 9 q^{34} - 45 q^{35} + 18 q^{37} + 9 q^{38} + 36 q^{39} - 18 q^{41} + 39 q^{42} - 48 q^{43} + 36 q^{45} - 18 q^{46} - 9 q^{47} + 6 q^{49} + 3 q^{50} - 18 q^{51} - 3 q^{52} - 36 q^{53} - 45 q^{54} + 18 q^{58} + 9 q^{59} - 9 q^{60} + 15 q^{61} - 33 q^{62} + 87 q^{63} - 12 q^{64} - 36 q^{65} + 33 q^{67} + 9 q^{68} - 18 q^{69} + 45 q^{70} - 9 q^{71} - 3 q^{73} + 3 q^{74} + 42 q^{75} + 9 q^{76} + 12 q^{78} + 15 q^{79} - 108 q^{81} + 18 q^{82} + 36 q^{83} - 9 q^{84} - 99 q^{85} - 33 q^{86} + 63 q^{87} - 12 q^{88} - 27 q^{89} - 36 q^{90} - 21 q^{91} - 9 q^{92} - 21 q^{93} + 54 q^{94} + 18 q^{95} - 6 q^{96} + 45 q^{97} + 39 q^{98}+O(q^{100}) $ 24 * q + 12 * q^8 + 12 * q^11 - 3 * q^12 - 3 * q^13 + 3 * q^14 + 27 * q^15 - 6 * q^18 - 21 * q^19 - 18 * q^20 + 15 * q^21 + 9 * q^23 + 36 * q^25 - 21 * q^27 - 3 * q^28 - 9 * q^30 - 27 * q^31 - 9 * q^34 - 45 * q^35 + 18 * q^37 + 9 * q^38 + 36 * q^39 - 18 * q^41 + 39 * q^42 - 48 * q^43 + 36 * q^45 - 18 * q^46 - 9 * q^47 + 6 * q^49 + 3 * q^50 - 18 * q^51 - 3 * q^52 - 36 * q^53 - 45 * q^54 + 18 * q^58 + 9 * q^59 - 9 * q^60 + 15 * q^61 - 33 * q^62 + 87 * q^63 - 12 * q^64 - 36 * q^65 + 33 * q^67 + 9 * q^68 - 18 * q^69 + 45 * q^70 - 9 * q^71 - 3 * q^73 + 3 * q^74 + 42 * q^75 + 9 * q^76 + 12 * q^78 + 15 * q^79 - 108 * q^81 + 18 * q^82 + 36 * q^83 - 9 * q^84 - 99 * q^85 - 33 * q^86 + 63 * q^87 - 12 * q^88 - 27 * q^89 - 36 * q^90 - 21 * q^91 - 9 * q^92 - 21 * q^93 + 54 * q^94 + 18 * q^95 - 6 * q^96 + 45 * q^97 + 39 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/418\mathbb{Z}\right)^\times$.

$n$	$287$	$343$
$\chi(n)$	$e\left(\frac{1}{9}\right)$	$1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.939693	+	0.342020i	0.664463	+	0.241845i
$2$	0.939693	+	0.342020i	0.664463	+	0.241845i
$3$	−0.293621	−	1.66521i	−0.169522	−	0.961410i	−0.944278	−	0.329149i	$-0.893238\pi$
$3$	−0.293621	−	1.66521i	−0.169522	−	0.961410i	0.774756	−	0.632261i	$-0.217873\pi$
$4$	0.766044	+	0.642788i	0.383022	+	0.321394i
$5$	−3.02184	+	2.53563i	−1.35141	+	1.13397i	−0.372875	+	0.927881i	$0.621628\pi$
$5$	−3.02184	+	2.53563i	−1.35141	+	1.13397i	−0.978534	+	0.206086i	$0.933927\pi$
$6$	0.293621	−	1.66521i	0.119870	−	0.679819i
$7$	−1.16294	+	2.01427i	−0.439549	+	0.761321i	−0.997655	−	0.0684488i	$-0.978195\pi$
$7$	−1.16294	+	2.01427i	−0.439549	+	0.761321i	0.558106	+	0.829770i	$0.311528\pi$
$8$	0.500000	+	0.866025i	0.176777	+	0.306186i
$9$	0.132366	−	0.0481775i	0.0441222	−	0.0160592i
$10$	−3.70684	+	1.34918i	−1.17221	+	0.426648i
$11$	0.500000	+	0.866025i	0.150756	+	0.261116i
$11$	0.500000	+	0.866025i	0.150756	+	0.261116i
$12$	0.845449	−	1.46436i	0.244060	−	0.422725i
$13$	−1.16483	+	6.60609i	−0.323066	+	1.83220i	0.199863	+	0.979824i	$0.435950\pi$
$13$	−1.16483	+	6.60609i	−0.323066	+	1.83220i	−0.522929	+	0.852376i	$0.675161\pi$
$14$	−1.78172	+	1.49504i	−0.476186	+	0.399567i
$15$	5.10963	+	4.28749i	1.31930	+	1.10702i
$16$	0.173648	+	0.984808i	0.0434120	+	0.246202i
$17$	6.72216	+	2.44667i	1.63036	+	0.593404i	0.985316	−	0.170739i	$-0.0546154\pi$
$17$	6.72216	+	2.44667i	1.63036	+	0.593404i	0.645047	+	0.764143i	$0.276838\pi$
$18$	0.140861			0.0332014
$19$	−3.39697	−	2.73140i	−0.779319	−	0.626627i
$19$	−3.39697	−	2.73140i	−0.779319	−	0.626627i
$20$	−3.94474			−0.882070
$21$	3.69564	+	1.34510i	0.806455	+	0.293526i
$22$	0.173648	+	0.984808i	0.0370219	+	0.209962i
$23$	−2.01149	−	1.68784i	−0.419424	−	0.351938i	0.408520	−	0.912749i	$-0.366045\pi$
$23$	−2.01149	−	1.68784i	−0.419424	−	0.351938i	−0.827944	+	0.560811i	$0.810489\pi$
$24$	1.29530	−	1.08689i	0.264403	−	0.221860i
$25$	1.83389	−	10.4005i	0.366778	−	2.08010i
$26$	−3.35400	+	5.80930i	−0.657774	+	1.13930i
$27$	−2.65544	−	4.59936i	−0.511040	−	0.885146i
$28$	−2.18561	+	0.795496i	−0.413041	+	0.150335i
$29$	−2.93125	+	1.06689i	−0.544319	+	0.198116i	−0.599521	−	0.800359i	$-0.704642\pi$
$29$	−2.93125	+	1.06689i	−0.544319	+	0.198116i	0.0552017	+	0.998475i	$0.482420\pi$
$30$	3.33507	+	5.77652i	0.608899	+	1.05464i
$31$	−2.83765	+	4.91495i	−0.509656	+	0.882750i	0.490281	+	0.871564i	$0.336894\pi$
$31$	−2.83765	+	4.91495i	−0.509656	+	0.882750i	−0.999937	+	0.0111861i	$0.996439\pi$
$32$	−0.173648	+	0.984808i	−0.0306970	+	0.174091i
$33$	1.29530	−	1.08689i	0.225483	−	0.189203i
$34$	5.47996	+	4.59823i	0.939805	+	0.788590i
$35$	−1.59322	−	9.03557i	−0.269302	−	1.52729i
$36$	0.132366	+	0.0481775i	0.0220611	+	0.00802958i
$37$	7.47704			1.22922			0.614609	−	0.788832i	$-0.289314\pi$
$37$	7.47704			1.22922			0.614609	+	0.788832i	$0.289314\pi$
$38$	−2.25792	−	3.72851i	−0.366283	−	0.604845i
$39$	11.3426			1.81626
$40$	−3.70684	−	1.34918i	−0.586103	−	0.213324i
$41$	0.00883395	+	0.0500998i	0.00137963	+	0.00782428i	0.985490	−	0.169735i	$-0.0542911\pi$
$41$	0.00883395	+	0.0500998i	0.00137963	+	0.00782428i	−0.984110	+	0.177559i	$0.943180\pi$
$42$	3.01271	+	2.52797i	0.464872	+	0.390074i
$43$	−2.09631	+	1.75901i	−0.319684	+	0.268247i	−0.788481	−	0.615059i	$-0.789132\pi$
$43$	−2.09631	+	1.75901i	−0.319684	+	0.268247i	0.468797	+	0.883306i	$0.344688\pi$
$44$	−0.173648	+	0.984808i	−0.0261784	+	0.148465i
$45$	−0.277831	+	0.481217i	−0.0414165	+	0.0717356i
$46$	−1.31290	−	2.27402i	−0.193577	−	0.335285i
$47$	1.51116	−	0.550019i	0.220426	−	0.0802285i	−0.229447	−	0.973321i	$-0.573692\pi$
$47$	1.51116	−	0.550019i	0.220426	−	0.0802285i	0.449873	+	0.893093i	$0.351469\pi$
$48$	1.58893	−	0.578321i	0.229342	−	0.0834735i
$49$	0.795155	+	1.37725i	0.113594	+	0.196750i
$50$	5.28047	−	9.14604i	0.746771	−	1.29345i
$51$	2.10044	−	11.9122i	0.294121	−	1.66804i
$52$	−5.13863	+	4.31182i	−0.712599	+	0.597942i
$53$	−4.62983	−	3.88489i	−0.635956	−	0.533630i	0.266817	−	0.963747i	$-0.414028\pi$
$53$	−4.62983	−	3.88489i	−0.635956	−	0.533630i	−0.902773	+	0.430117i	$0.858472\pi$
$54$	−0.922224	−	5.23019i	−0.125499	−	0.711739i
$55$	−3.70684	−	1.34918i	−0.499830	−	0.181923i
$56$	−2.32587			−0.310808
$57$	−3.55094	+	6.45868i	−0.470333	+	0.855472i
$58$	−3.11937			−0.409593
$59$	−1.79584	−	0.653633i	−0.233799	−	0.0850958i	0.222464	−	0.974941i	$-0.428590\pi$
$59$	−1.79584	−	0.653633i	−0.233799	−	0.0850958i	−0.456263	+	0.889845i	$0.650812\pi$
$60$	1.15826	+	6.56881i	0.149531	+	0.848030i
$61$	1.57574	+	1.32221i	0.201753	+	0.169291i	0.738067	−	0.674728i	$-0.235739\pi$
$61$	1.57574	+	1.32221i	0.201753	+	0.169291i	−0.536313	+	0.844019i	$0.680183\pi$
$62$	−4.34752	+	3.64801i	−0.552136	+	0.463297i
$63$	−0.0568917	+	0.322649i	−0.00716768	+	0.0406499i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	−13.2306	−	22.9162i	−1.64106	−	2.84240i
$66$	1.58893	−	0.578321i	0.195583	−	0.0711864i
$67$	4.01443	−	1.46113i	0.490441	−	0.178506i	−0.0849488	−	0.996385i	$-0.527073\pi$
$67$	4.01443	−	1.46113i	0.490441	−	0.178506i	0.575390	+	0.817879i	$0.304850\pi$
$68$	3.57679	+	6.19518i	0.433749	+	0.751276i
$69$	−2.21999	+	3.84513i	−0.267255	+	0.462899i
$70$	1.59322	−	9.03557i	0.190426	−	1.07996i
$71$	10.7750	−	9.04133i	1.27876	−	1.07301i	0.285348	−	0.958424i	$-0.407891\pi$
$71$	10.7750	−	9.04133i	1.27876	−	1.07301i	0.993413	−	0.114585i	$-0.0365538\pi$
$72$	0.107906	+	0.0905440i	0.0127169	+	0.0106707i
$73$	2.42666	+	13.7623i	0.284019	+	1.61075i	0.708767	+	0.705442i	$0.249252\pi$
$73$	2.42666	+	13.7623i	0.284019	+	1.61075i	−0.424748	+	0.905312i	$0.639637\pi$
$74$	7.02612	+	2.55730i	0.816770	+	0.297280i
$75$	−17.8575			−2.06200
$76$	−0.846522	−	4.27591i	−0.0971027	−	0.490480i
$77$	−2.32587			−0.265058
$78$	10.6585	+	3.87938i	1.20684	+	0.439253i
$79$	0.744613	+	4.22291i	0.0837755	+	0.475115i	0.997614	+	0.0690370i	$0.0219926\pi$
$79$	0.744613	+	4.22291i	0.0837755	+	0.475115i	−0.913839	+	0.406078i	$0.866896\pi$
$80$	−3.02184	−	2.53563i	−0.337852	−	0.283492i
$81$	−6.55548	+	5.50070i	−0.728387	+	0.611189i
$82$	−0.00883395	+	0.0500998i	−0.000975546	+	0.00553260i
$83$	2.59399	−	4.49293i	0.284728	−	0.493163i	−0.687816	−	0.725886i	$-0.741430\pi$
$83$	2.59399	−	4.49293i	0.284728	−	0.493163i	0.972543	+	0.232723i	$0.0747635\pi$
$84$	1.96641	+	3.40592i	0.214553	+	0.371616i
$85$	−26.5172	+	9.65145i	−2.87619	+	1.04685i
$86$	−2.57150	+	0.935951i	−0.277292	+	0.100926i
$87$	2.63727	+	4.56788i	0.282745	+	0.489728i
$88$	−0.500000	+	0.866025i	−0.0533002	+	0.0923186i
$89$	1.47028	−	8.33835i	0.155849	−	0.883863i	−0.802157	−	0.597113i	$-0.796314\pi$
$89$	1.47028	−	8.33835i	0.155849	−	0.883863i	0.958006	−	0.286749i	$-0.0925747\pi$
$90$	−0.425661	+	0.357172i	−0.0448686	+	0.0376493i
$91$	−11.9518	−	10.0288i	−1.25289	−	1.05130i
$92$	−0.455967	−	2.58592i	−0.0475378	−	0.269600i
$93$	9.01761	+	3.28214i	0.935083	+	0.340342i
$94$	1.60815			0.165868
$95$	17.1909	−	0.359591i	1.76375	−	0.0368932i
$96$	1.69090			0.172577
$97$	14.8885	+	5.41898i	1.51170	+	0.550214i	0.959059	−	0.283205i	$-0.0913977\pi$
$97$	14.8885	+	5.41898i	1.51170	+	0.550214i	0.552641	+	0.833419i	$0.313620\pi$
$98$	0.276154	+	1.56615i	0.0278958	+	0.158205i
$99$	0.107906	+	0.0905440i	0.0108450	+	0.00910002i
$100$	8.09015	−	6.78844i	0.809015	−	0.678844i
$101$	2.01157	−	11.4082i	0.200159	−	1.13516i	−0.704718	−	0.709487i	$-0.748927\pi$
$101$	2.01157	−	11.4082i	0.200159	−	1.13516i	0.904878	−	0.425672i	$-0.139962\pi$
$102$	6.04799	−	10.4754i	0.598840	−	1.03722i
$103$	−0.144666	−	0.250568i	−0.0142543	−	0.0246892i	0.858810	−	0.512294i	$-0.171204\pi$
$103$	−0.144666	−	0.250568i	−0.0142543	−	0.0246892i	−0.873065	+	0.487605i	$0.837871\pi$
$104$	−6.30346	+	2.29427i	−0.618105	+	0.224972i
$105$	−14.5783	+	5.30608i	−1.42270	+	0.517820i
$106$	−3.02191	−	5.23410i	−0.293514	−	0.508380i
$107$	2.49876	−	4.32798i	0.241564	−	0.418402i	−0.719596	−	0.694393i	$-0.755673\pi$
$107$	2.49876	−	4.32798i	0.241564	−	0.418402i	0.961160	+	0.275991i	$0.0890062\pi$
$108$	0.922224	−	5.23019i	0.0887411	−	0.503276i
$109$	1.43934	−	1.20775i	0.137864	−	0.115682i	−0.571248	−	0.820778i	$-0.693541\pi$
$109$	1.43934	−	1.20775i	0.137864	−	0.115682i	0.709112	+	0.705096i	$0.249096\pi$
$110$	−3.02184	−	2.53563i	−0.288121	−	0.241763i
$111$	−2.19542	−	12.4508i	−0.208380	−	1.18178i
$112$	−2.18561	−	0.795496i	−0.206520	−	0.0751673i
$113$	−2.67083			−0.251250			−0.125625	−	0.992078i	$-0.540094\pi$
$113$	−2.67083			−0.251250			−0.125625	+	0.992078i	$0.540094\pi$
$114$	−5.54578	+	4.85468i	−0.519410	+	0.454682i
$115$	10.3581			0.965899
$116$	−2.93125	−	1.06689i	−0.272159	−	0.0990579i
$117$	0.164080	+	0.930544i	0.0151692	+	0.0860288i
$118$	−1.46398	−	1.22843i	−0.134771	−	0.113086i
$119$	−12.7457	+	10.6949i	−1.16840	+	0.980400i
$120$	−1.15826	+	6.56881i	−0.105734	+	0.599648i
$121$	−0.500000	+	0.866025i	−0.0454545	+	0.0787296i
$122$	1.02849	+	1.78140i	0.0931155	+	0.161281i
$123$	0.0808329	−	0.0294208i	0.00728846	−	0.00265278i
$124$	−5.33303	+	1.94106i	−0.478920	+	0.174313i
$125$	10.9682	+	18.9975i	0.981028	+	1.69919i
$126$	−0.163813	+	0.283732i	−0.0145936	+	0.0252769i
$127$	3.05678	−	17.3359i	0.271245	−	1.53831i	−0.479396	−	0.877599i	$-0.659144\pi$
$127$	3.05678	−	17.3359i	0.271245	−	1.53831i	0.750641	−	0.660710i	$-0.229745\pi$
$128$	−0.766044	+	0.642788i	−0.0677094	+	0.0568149i
$129$	3.54465	+	2.97431i	0.312089	+	0.261874i
$130$	−4.59496	−	26.0593i	−0.403004	−	2.28555i
$131$	16.0795	+	5.85248i	1.40488	+	0.511333i	0.929622	−	0.368515i	$-0.120134\pi$
$131$	16.0795	+	5.85248i	1.40488	+	0.511333i	0.475255	+	0.879848i	$0.342356\pi$
$132$	1.69090			0.147174
$133$	9.45224	−	3.66596i	0.819613	−	0.317879i
$134$	4.27207			0.369050
$135$	19.6866	+	7.16533i	1.69435	+	0.616693i
$136$	1.24221	+	7.04490i	0.106518	+	0.604095i
$137$	−2.31720	−	1.94436i	−0.197972	−	0.166118i	0.538413	−	0.842681i	$-0.319024\pi$
$137$	−2.31720	−	1.94436i	−0.197972	−	0.166118i	−0.736385	+	0.676563i	$0.763469\pi$
$138$	−3.40122	+	2.85396i	−0.289531	+	0.242945i
$139$	−3.36421	+	19.0794i	−0.285349	+	1.61829i	0.418689	+	0.908130i	$0.362490\pi$
$139$	−3.36421	+	19.0794i	−0.285349	+	1.61829i	−0.704038	+	0.710163i	$0.748621\pi$
$140$	4.58748	−	7.94575i	0.387713	−	0.671538i
$141$	−1.35961	−	2.35491i	−0.114500	−	0.198319i
$142$	13.2175	−	4.81079i	1.10919	−	0.403713i
$143$	−6.30346	+	2.29427i	−0.527122	+	0.191857i
$144$	0.0704307	+	0.121990i	0.00586923	+	0.0101658i
$145$	6.15254	−	10.6565i	0.510941	−	0.884975i
$146$	−2.42666	+	13.7623i	−0.200832	+	1.13898i
$147$	2.05993	−	1.72849i	0.169900	−	0.142563i
$148$	5.72775	+	4.80615i	0.470818	+	0.395063i
$149$	1.36375	+	7.73424i	0.111723	+	0.633613i	0.988321	+	0.152389i	$0.0486966\pi$
$149$	1.36375	+	7.73424i	0.111723	+	0.633613i	−0.876597	+	0.481224i	$0.840192\pi$
$150$	−16.7805	−	6.10762i	−1.37013	−	0.498685i
$151$	16.6177			1.35233			0.676166	−	0.736749i	$-0.263640\pi$
$151$	16.6177			1.35233			0.676166	+	0.736749i	$0.263640\pi$
$152$	0.666977	−	4.30757i	0.0540990	−	0.349390i
$153$	1.00766			0.0814647
$154$	−2.18561	−	0.795496i	−0.176121	−	0.0641029i
$155$	−3.88755	−	22.0474i	−0.312256	−	1.77089i
$156$	8.68890	+	7.29085i	0.695669	+	0.583735i
$157$	7.97581	−	6.69250i	0.636539	−	0.534119i	−0.266414	−	0.963859i	$-0.585839\pi$
$157$	7.97581	−	6.69250i	0.636539	−	0.534119i	0.902953	+	0.429739i	$0.141394\pi$
$158$	−0.744613	+	4.22291i	−0.0592382	+	0.335957i
$159$	−5.10974	+	8.85033i	−0.405229	+	0.701876i
$160$	−1.97237	−	3.41624i	−0.155929	−	0.270078i
$161$	5.73898	−	2.08882i	0.452295	−	0.164622i
$162$	−8.04149	+	2.92686i	−0.631799	+	0.229956i
$163$	10.2739	+	17.7949i	0.804712	+	1.39380i	0.916485	+	0.400069i	$0.131014\pi$
$163$	10.2739	+	17.7949i	0.804712	+	1.39380i	−0.111773	+	0.993734i	$0.535653\pi$
$164$	−0.0254363	+	0.0440570i	−0.00198624	+	0.00344028i
$165$	−1.15826	+	6.56881i	−0.0901704	+	0.511382i
$166$	3.97423	−	3.33477i	0.308460	−	0.258828i
$167$	−0.591234	−	0.496105i	−0.0457511	−	0.0383897i	0.619625	−	0.784898i	$-0.287285\pi$
$167$	−0.591234	−	0.496105i	−0.0457511	−	0.0383897i	−0.665376	+	0.746508i	$0.731729\pi$
$168$	0.682927	+	3.87307i	0.0526889	+	0.298814i
$169$	−30.0676	−	10.9437i	−2.31289	−	0.841824i
$170$	−28.2190			−2.16430
$171$	−0.581238	−	0.197889i	−0.0444484	−	0.0151329i
$172$	−2.73654			−0.208659
$173$	−7.55342	−	2.74922i	−0.574276	−	0.209019i	0.0385235	−	0.999258i	$-0.487735\pi$
$173$	−7.55342	−	2.74922i	−0.574276	−	0.209019i	−0.612800	+	0.790238i	$0.709957\pi$
$174$	0.915913	+	5.19440i	0.0694352	+	0.393787i
$175$	18.8167	+	15.7891i	1.42241	+	1.19354i
$176$	−0.766044	+	0.642788i	−0.0577428	+	0.0484519i
$177$	−0.561139	+	3.18238i	−0.0421778	+	0.239202i
$178$	4.23349	−	7.33262i	0.317313	−	0.549603i
$179$	2.37175	+	4.10799i	0.177273	+	0.307045i	0.940945	−	0.338558i	$-0.109939\pi$
$179$	2.37175	+	4.10799i	0.177273	+	0.307045i	−0.763673	+	0.645604i	$0.776606\pi$
$180$	−0.522151	+	0.190047i	−0.0389188	+	0.0141653i
$181$	−23.3003	+	8.48060i	−1.73190	+	0.630358i	−0.998763	−	0.0497276i	$-0.984165\pi$
$181$	−23.3003	+	8.48060i	−1.73190	+	0.630358i	−0.733132	+	0.680086i	$0.761942\pi$
$182$	−7.80098	−	13.5117i	−0.578247	−	1.00155i
$183$	1.73908	−	3.01217i	0.128556	−	0.222666i
$184$	0.455967	−	2.58592i	0.0336143	−	0.190636i
$185$	−22.5944	+	18.9590i	−1.66118	+	1.39389i
$186$	7.35122	+	6.16841i	0.539018	+	0.452290i
$187$	1.24221	+	7.04490i	0.0908391	+	0.515174i
$188$	1.51116	+	0.550019i	0.110213	+	0.0401142i
$189$	12.3524			0.898507
$190$	16.2772	+	5.54174i	1.18087	+	0.402040i
$191$	−1.64619			−0.119114			−0.0595571	−	0.998225i	$-0.518969\pi$
$191$	−1.64619			−0.119114			−0.0595571	+	0.998225i	$0.518969\pi$
$192$	1.58893	+	0.578321i	0.114671	+	0.0417368i
$193$	0.666633	+	3.78067i	0.0479853	+	0.272138i	0.999355	−	0.0359135i	$-0.0114341\pi$
$193$	0.666633	+	3.78067i	0.0479853	+	0.272138i	−0.951370	+	0.308052i	$0.900323\pi$
$194$	12.1372	+	10.1844i	0.871403	+	0.731194i
$195$	−34.2754	+	28.7605i	−2.45451	+	2.05958i
$196$	−0.276154	+	1.56615i	−0.0197253	+	0.111868i
$197$	−2.59374	+	4.49249i	−0.184796	+	0.320077i	−0.943508	−	0.331350i	$-0.892496\pi$
$197$	−2.59374	+	4.49249i	−0.184796	+	0.320077i	0.758711	+	0.651427i	$0.225829\pi$
$198$	0.0704307	+	0.121990i	0.00500529	+	0.00866942i
$199$	−8.87200	+	3.22915i	−0.628920	+	0.228908i	−0.636761	−	0.771061i	$-0.719726\pi$
$199$	−8.87200	+	3.22915i	−0.628920	+	0.228908i	0.00784137	+	0.999969i	$0.497504\pi$
$200$	9.92404	−	3.61205i	0.701736	−	0.255411i
$201$	−3.61182	−	6.25585i	−0.254758	−	0.441254i
$202$	5.79210	−	10.0322i	0.407531	−	0.705864i
$203$	1.25986	−	7.14503i	0.0884250	−	0.501483i
$204$	9.26605	−	7.77514i	0.648753	−	0.544369i
$205$	−0.153729	−	0.128994i	−0.0107369	−	0.00900934i
$206$	−0.0502419	−	0.284936i	−0.00350052	−	0.0198524i
$207$	−0.347569	−	0.126505i	−0.0241577	−	0.00879269i
$208$	−6.70800			−0.465116
$209$	0.666977	−	4.30757i	0.0461358	−	0.297961i
$210$	−15.5139			−1.07056
$211$	−17.9334	−	6.52722i	−1.23459	−	0.449352i	−0.359420	−	0.933176i	$-0.617025\pi$
$211$	−17.9334	−	6.52722i	−1.23459	−	0.449352i	−0.875165	+	0.483824i	$0.839248\pi$
$212$	−1.04950	−	5.95199i	−0.0720798	−	0.408785i
$213$	−18.2195	−	15.2880i	−1.24838	−	1.04751i
$214$	3.82833	−	3.21235i	0.261699	−	0.219591i
$215$	1.87452	−	10.6309i	0.127841	−	0.725023i
$216$	2.65544	−	4.59936i	0.180680	−	0.312947i
$217$	−6.60001	−	11.4315i	−0.448038	−	0.776024i
$218$	1.76562	−	0.642632i	0.119583	−	0.0435245i
$219$	22.2046	−	8.08181i	1.50045	−	0.546118i
$220$	−1.97237	−	3.41624i	−0.132977	−	0.230323i
$221$	−23.9931	+	41.5573i	−1.61395	+	2.79544i
$222$	2.19542	−	12.4508i	0.147347	−	0.835646i
$223$	−1.50344	+	1.26154i	−0.100678	+	0.0844788i	−0.691737	−	0.722149i	$-0.743154\pi$
$223$	−1.50344	+	1.26154i	−0.100678	+	0.0844788i	0.591059	+	0.806628i	$0.298710\pi$
$224$	−1.78172	−	1.49504i	−0.119046	−	0.0998918i
$225$	−0.258324	−	1.46503i	−0.0172216	−	0.0976686i
$226$	−2.50976	−	0.913477i	−0.166947	−	0.0607636i
$227$	26.6710			1.77021			0.885107	−	0.465387i	$-0.154085\pi$
$227$	26.6710			1.77021			0.885107	+	0.465387i	$0.154085\pi$
$228$	−6.87173	+	2.66514i	−0.455092	+	0.176503i
$229$	−19.5767			−1.29367			−0.646833	−	0.762632i	$-0.723907\pi$
$229$	−19.5767			−1.29367			−0.646833	+	0.762632i	$0.723907\pi$
$230$	9.73345	+	3.54268i	0.641804	+	0.233598i
$231$	0.682927	+	3.87307i	0.0449333	+	0.254829i
$232$	−2.38957	−	2.00509i	−0.156883	−	0.131641i
$233$	17.7739	−	14.9141i	1.16441	−	0.977053i	0.164449	−	0.986386i	$-0.447415\pi$
$233$	17.7739	−	14.9141i	1.16441	−	0.977053i	0.999956	+	0.00933295i	$0.00297081\pi$
$234$	−0.164080	+	0.930544i	−0.0107262	+	0.0608316i
$235$	−3.17186	+	5.49382i	−0.206909	+	0.358377i
$236$	−0.955548	−	1.65506i	−0.0622008	−	0.107735i
$237$	6.81340	−	2.47987i	0.442578	−	0.161085i
$238$	−15.6349	+	5.69064i	−1.01346	+	0.368869i
$239$	6.99472	+	12.1152i	0.452451	+	0.783668i	0.998538	−	0.0540606i	$-0.0172164\pi$
$239$	6.99472	+	12.1152i	0.452451	+	0.783668i	−0.546087	+	0.837729i	$0.683883\pi$
$240$	−3.33507	+	5.77652i	−0.215278	+	0.372873i
$241$	−0.0233751	+	0.132567i	−0.00150572	+	0.00853937i	−0.985551	−	0.169377i	$-0.945824\pi$
$241$	−0.0233751	+	0.132567i	−0.00150572	+	0.00853937i	0.984046	+	0.177916i	$0.0569356\pi$
$242$	−0.766044	+	0.642788i	−0.0492432	+	0.0413200i
$243$	−1.12045	−	0.940170i	−0.0718770	−	0.0603120i
$244$	0.357192	+	2.02574i	0.0228669	+	0.129685i
$245$	−5.89502	−	2.14561i	−0.376619	−	0.137078i
$246$	0.0860206			0.00548447
$247$	22.0008	−	19.2591i	1.39988	−	1.22543i
$248$	−5.67529			−0.360381
$249$	−8.24332	−	3.00032i	−0.522399	−	0.190138i
$250$	3.80922	+	21.6032i	0.240917	+	1.36631i
$251$	−14.9730	−	12.5639i	−0.945090	−	0.793025i	0.0333734	−	0.999443i	$-0.489375\pi$
$251$	−14.9730	−	12.5639i	−0.945090	−	0.793025i	−0.978464	+	0.206418i	$0.933819\pi$
$252$	−0.250976	+	0.210594i	−0.0158100	+	0.0132662i
$253$	0.455967	−	2.58592i	0.0286664	−	0.162575i
$254$	8.80165	−	15.2449i	0.552265	−	0.956550i
$255$	23.8577	+	41.3228i	1.49403	+	2.58773i
$256$	−0.939693	+	0.342020i	−0.0587308	+	0.0213763i
$257$	2.94604	−	1.07227i	0.183769	−	0.0668865i	−0.248497	−	0.968633i	$-0.579936\pi$
$257$	2.94604	−	1.07227i	0.183769	−	0.0668865i	0.432266	+	0.901746i	$0.357714\pi$
$258$	2.31360	+	4.00728i	0.144039	+	0.249482i
$259$	−8.69533	+	15.0608i	−0.540301	+	0.935829i
$260$	4.59496	−	26.0593i	0.284967	−	1.61613i
$261$	−0.336599	+	0.282440i	−0.0208349	+	0.0174826i
$262$	13.1082	+	10.9991i	0.809825	+	0.679524i
$263$	0.0787065	+	0.446367i	0.00485325	+	0.0275242i	0.987138	−	0.159869i	$-0.0511072\pi$
$263$	0.0787065	+	0.446367i	0.00485325	+	0.0275242i	−0.982285	+	0.187393i	$0.939996\pi$
$264$	1.58893	+	0.578321i	0.0977916	+	0.0355932i
$265$	23.8412			1.46456
$266$	10.1360	−	0.212020i	0.621480	−	0.0129998i
$267$	−14.3168			−0.876174
$268$	4.01443	+	1.46113i	0.245220	+	0.0892529i
$269$	0.360379	+	2.04381i	0.0219727	+	0.124614i	0.993821	−	0.110994i	$-0.0354033\pi$
$269$	0.360379	+	2.04381i	0.0219727	+	0.124614i	−0.971848	+	0.235607i	$0.924292\pi$
$270$	16.0486	+	13.4664i	0.976689	+	0.819540i
$271$	1.41345	−	1.18603i	0.0858612	−	0.0720461i	−0.598847	−	0.800864i	$-0.704374\pi$
$271$	1.41345	−	1.18603i	0.0858612	−	0.0720461i	0.684708	+	0.728817i	$0.259930\pi$
$272$	−1.24221	+	7.04490i	−0.0753198	+	0.427160i
$273$	−13.1907	+	22.8469i	−0.798336	+	1.38276i
$274$	−1.51244	−	2.61963i	−0.0913701	−	0.158258i
$275$	9.92404	−	3.61205i	0.598442	−	0.217815i
$276$	−4.17221	+	1.51856i	−0.251138	+	0.0914066i
$277$	7.19160	+	12.4562i	0.432101	+	0.748421i	0.997054	−	0.0767018i	$-0.0244389\pi$
$277$	7.19160	+	12.4562i	0.432101	+	0.748421i	−0.564953	+	0.825123i	$0.691106\pi$
$278$	−9.68686	+	16.7781i	−0.580979	+	1.00629i
$279$	−0.138820	+	0.787285i	−0.00831091	+	0.0471335i
$280$	7.02843	−	5.89755i	0.420029	−	0.352446i
$281$	−13.3600	−	11.2104i	−0.796993	−	0.668756i	0.150473	−	0.988614i	$-0.451920\pi$
$281$	−13.3600	−	11.2104i	−0.796993	−	0.668756i	−0.947466	+	0.319858i	$0.896365\pi$
$282$	−0.472186	−	2.67790i	−0.0281183	−	0.159467i
$283$	−6.58342	−	2.39617i	−0.391344	−	0.142437i	0.138851	−	0.990313i	$-0.455659\pi$
$283$	−6.58342	−	2.39617i	−0.391344	−	0.142437i	−0.530195	+	0.847876i	$0.677881\pi$
$284$	14.0658			0.834653
$285$	−5.64642	−	28.5210i	−0.334465	−	1.68944i
$286$	−6.70800			−0.396652
$287$	−0.111188	−	0.0404690i	−0.00656320	−	0.00238881i
$288$	0.0244603	+	0.138721i	0.00144134	+	0.00817424i
$289$	26.1785	+	21.9664i	1.53991	+	1.29214i
$290$	9.42624	−	7.90955i	0.553528	−	0.464465i
$291$	4.65215	−	26.3837i	0.272714	−	1.54664i
$292$	−6.98730	+	12.1024i	−0.408901	+	0.708237i
$293$	7.55553	+	13.0866i	0.441399	+	0.764525i	0.997794	−	0.0663931i	$-0.0211491\pi$
$293$	7.55553	+	13.0866i	0.441399	+	0.764525i	−0.556395	+	0.830918i	$0.687816\pi$
$294$	2.52688	−	0.919710i	0.147371	−	0.0536386i
$295$	7.08412	−	2.57841i	0.412454	−	0.150121i
$296$	3.73852	+	6.47531i	0.217297	+	0.376370i
$297$	2.65544	−	4.59936i	0.154084	−	0.266882i
$298$	−1.36375	+	7.73424i	−0.0790002	+	0.448032i
$299$	13.4930	−	11.3220i	0.780323	−	0.654769i
$300$	−13.6796	−	11.4786i	−0.789794	−	0.662716i
$301$	−1.10524	−	6.26815i	−0.0637052	−	0.361290i
$302$	15.6156	+	5.68360i	0.898575	+	0.327054i
$303$	−19.5877			−1.12528
$304$	2.10003	−	3.81967i	0.120445	−	0.219073i
$305$	−8.11427			−0.464622
$306$	0.946894	+	0.344641i	0.0541303	+	0.0197018i
$307$	2.26428	+	12.8414i	0.129229	+	0.732896i	0.978706	+	0.205269i	$0.0658070\pi$
$307$	2.26428	+	12.8414i	0.129229	+	0.732896i	−0.849476	+	0.527627i	$0.823082\pi$
$308$	−1.78172	−	1.49504i	−0.101523	−	0.0851880i
$309$	−0.374772	+	0.314471i	−0.0213200	+	0.0178896i
$310$	3.88755	−	22.0474i	0.220798	−	1.25221i
$311$	−4.47324	+	7.74788i	−0.253654	+	0.439342i	−0.964529	−	0.263976i	$-0.914966\pi$
$311$	−4.47324	+	7.74788i	−0.253654	+	0.439342i	0.710875	+	0.703319i	$0.248299\pi$
$312$	5.67128	+	9.82294i	0.321073	+	0.556114i
$313$	−20.9320	+	7.61861i	−1.18314	+	0.430629i	−0.857312	−	0.514798i	$-0.827867\pi$
$313$	−20.9320	+	7.61861i	−1.18314	+	0.430629i	−0.325833	+	0.945427i	$0.605645\pi$
$314$	9.78378	−	3.56100i	0.552130	−	0.200959i
$315$	−0.646199	−	1.11925i	−0.0364092	−	0.0630626i
$316$	−2.14403	+	3.71357i	−0.120611	+	0.208904i
$317$	1.60366	−	9.09482i	0.0900707	−	0.510816i	−0.906076	−	0.423115i	$-0.860937\pi$
$317$	1.60366	−	9.09482i	0.0900707	−	0.510816i	0.996147	−	0.0877015i	$-0.0279522\pi$
$318$	−7.82857	+	6.56895i	−0.439005	+	0.368369i
$319$	−2.38957	−	2.00509i	−0.133790	−	0.112264i
$320$	−0.684996	−	3.88481i	−0.0382925	−	0.217167i
$321$	−7.94069	−	2.89018i	−0.443206	−	0.161314i
$322$	6.10730			0.340346
$323$	−16.1522	−	26.6722i	−0.898731	−	1.48408i
$324$	−8.55757			−0.475421
$325$	66.5705	+	24.2297i	3.69267	+	1.34402i
$326$	3.56808	+	20.2356i	0.197618	+	1.12075i
$327$	−2.43378	−	2.04219i	−0.134589	−	0.112933i
$328$	−0.0389707	+	0.0327003i	−0.00215180	+	0.00180557i
$329$	−0.649504	+	3.68352i	−0.0358083	+	0.203079i
$330$	−3.33507	+	5.77652i	−0.183590	+	0.317987i
$331$	3.34925	+	5.80107i	0.184091	+	0.318855i	0.943270	−	0.332027i	$-0.107732\pi$
$331$	3.34925	+	5.80107i	0.184091	+	0.318855i	−0.759179	+	0.650882i	$0.774399\pi$
$332$	4.87511	−	1.77439i	0.267556	−	0.0973826i
$333$	0.989710	−	0.360225i	0.0542358	−	0.0197402i
$334$	−0.385901	−	0.668400i	−0.0211156	−	0.0365732i
$335$	−8.42609	+	14.5944i	−0.460367	+	0.797378i
$336$	−0.682927	+	3.87307i	−0.0372567	+	0.211293i
$337$	19.7515	−	16.5735i	1.07593	−	0.902815i	0.0803568	−	0.996766i	$-0.474394\pi$
$337$	19.7515	−	16.5735i	1.07593	−	0.902815i	0.995577	+	0.0939507i	$0.0299496\pi$
$338$	−24.5113	−	20.5675i	−1.33324	−	1.11872i
$339$	0.784213	+	4.44749i	0.0425926	+	0.241555i
$340$	−26.5172	−	9.65145i	−1.43809	−	0.523424i
$341$	−5.67529			−0.307334
$342$	−0.478503	−	0.384749i	−0.0258745	−	0.0208049i
$343$	−19.9800			−1.07882
$344$	−2.57150	−	0.935951i	−0.138646	−	0.0504631i
$345$	−3.04137	−	17.2484i	−0.163742	−	0.928625i
$346$	−6.15761	−	5.16685i	−0.331035	−	0.277771i
$347$	−12.4165	+	10.4187i	−0.666553	+	0.559304i	−0.912043	−	0.410095i	$-0.865496\pi$
$347$	−12.4165	+	10.4187i	−0.666553	+	0.559304i	0.245490	+	0.969399i	$0.421051\pi$
$348$	−0.915913	+	5.19440i	−0.0490981	+	0.278449i
$349$	8.66688	−	15.0115i	0.463928	−	0.803546i	−0.535225	−	0.844710i	$-0.679773\pi$
$349$	8.66688	−	15.0115i	0.463928	−	0.803546i	0.999152	+	0.0411634i	$0.0131064\pi$
$350$	12.2817	+	21.2725i	0.656485	+	1.13707i
$351$	33.4769	−	12.1846i	1.78687	−	0.650366i
$352$	−0.939693	+	0.342020i	−0.0500858	+	0.0182297i
$353$	13.2652	+	22.9760i	0.706035	+	1.22289i	0.966317	+	0.257355i	$0.0828510\pi$
$353$	13.2652	+	22.9760i	0.706035	+	1.22289i	−0.260282	+	0.965533i	$0.583816\pi$
$354$	−1.61573	+	2.79853i	−0.0858753	+	0.148740i
$355$	−9.63503	+	54.6430i	−0.511374	+	2.90015i
$356$	6.48608	−	5.44247i	0.343762	−	0.288450i
$357$	21.5517	+	18.0840i	1.14064	+	0.957107i
$358$	0.823699	+	4.67143i	0.0435339	+	0.246893i
$359$	−26.9716	−	9.81684i	−1.42350	−	0.518113i	−0.488442	−	0.872596i	$-0.662435\pi$
$359$	−26.9716	−	9.81684i	−1.42350	−	0.518113i	−0.935062	+	0.354483i	$0.884657\pi$
$360$	−0.555661			−0.0292859
$361$	4.07887	+	18.5570i	0.214678	+	0.976685i
$362$	−24.7956			−1.30323
$363$	1.58893	+	0.578321i	0.0833969	+	0.0303540i
$364$	−2.70925	−	15.3649i	−0.142003	−	0.805342i
$365$	−42.2290	−	35.4344i	−2.21037	−	1.85472i
$366$	2.66442	−	2.23572i	0.139272	−	0.116863i
$367$	−0.438571	+	2.48726i	−0.0228932	+	0.129834i	−0.994112	−	0.108354i	$-0.965442\pi$
$367$	−0.438571	+	2.48726i	−0.0228932	+	0.129834i	0.971219	+	0.238187i	$0.0765533\pi$
$368$	1.31290	−	2.27402i	0.0684398	−	0.118541i
$369$	0.00358300	+	0.00620594i	0.000186524	+	0.000323068i
$370$	−27.7162	+	10.0879i	−1.44090	+	0.524443i
$371$	13.2094	−	4.80783i	0.685798	−	0.249610i
$372$	4.79817	+	8.31068i	0.248774	+	0.430888i
$373$	13.6490	−	23.6408i	0.706720	−	1.22407i	−0.259348	−	0.965784i	$-0.583508\pi$
$373$	13.6490	−	23.6408i	0.706720	−	1.22407i	0.966067	−	0.258290i	$-0.0831592\pi$
$374$	−1.24221	+	7.04490i	−0.0642329	+	0.364283i
$375$	28.4144	−	23.8425i	1.46731	−	1.23122i
$376$	1.23191	+	1.03370i	0.0635310	+	0.0533088i
$377$	−3.63354	−	20.6068i	−0.187137	−	1.06131i
$378$	11.6075	+	4.22478i	0.597025	+	0.217299i
$379$	−31.2975			−1.60764			−0.803822	−	0.594869i	$-0.797204\pi$
$379$	−31.2975			−1.60764			−0.803822	+	0.594869i	$0.797204\pi$
$380$	13.4002	+	10.7747i	0.687414	+	0.552729i
$381$	−29.7654			−1.52493
$382$	−1.54691	−	0.563030i	−0.0791470	−	0.0288071i
$383$	−4.67452	−	26.5105i	−0.238857	−	1.35463i	−0.834337	−	0.551255i	$-0.814149\pi$
$383$	−4.67452	−	26.5105i	−0.238857	−	1.35463i	0.595480	−	0.803370i	$-0.296962\pi$
$384$	1.29530	+	1.08689i	0.0661007	+	0.0554651i
$385$	7.02843	−	5.89755i	0.358202	−	0.300567i
$386$	−0.666633	+	3.78067i	−0.0339308	+	0.192431i
$387$	−0.192736	+	0.333829i	−0.00979734	+	0.0169695i
$388$	7.92202	+	13.7213i	0.402180	+	0.696595i
$389$	9.61996	−	3.50138i	0.487751	−	0.177527i	−0.0864254	−	0.996258i	$-0.527544\pi$
$389$	9.61996	−	3.50138i	0.487751	−	0.177527i	0.574177	+	0.818731i	$0.305322\pi$
$390$	−42.0450	+	15.3031i	−2.12903	+	0.774904i
$391$	−9.39196	−	16.2673i	−0.474972	−	0.822675i
$392$	−0.795155	+	1.37725i	−0.0401614	+	0.0695615i
$393$	5.02430	−	28.4942i	0.253443	−	1.43734i
$394$	−3.97384	+	3.33445i	−0.200199	+	0.167987i
$395$	−12.9578	−	10.8729i	−0.651979	−	0.547076i
$396$	0.0244603	+	0.138721i	0.00122918	+	0.00697102i
$397$	1.96284	+	0.714416i	0.0985122	+	0.0358555i	0.390806	−	0.920473i	$-0.372196\pi$
$397$	1.96284	+	0.714416i	0.0985122	+	0.0358555i	−0.292294	+	0.956329i	$0.594419\pi$
$398$	−9.44139			−0.473254
$399$	−8.87998	−	14.6636i	−0.444555	−	0.734096i
$400$	10.5609			0.528047
$401$	9.50220	+	3.45852i	0.474517	+	0.172710i	0.568198	−	0.822892i	$-0.307641\pi$
$401$	9.50220	+	3.45852i	0.474517	+	0.172710i	−0.0936803	+	0.995602i	$0.529863\pi$
$402$	−1.25437	−	7.11389i	−0.0625623	−	0.354809i
$403$	−29.1632	−	24.4708i	−1.45272	−	1.21898i
$404$	8.87401	−	7.44618i	0.441498	−	0.370461i
$405$	5.86191	−	33.2445i	0.291280	−	1.65193i
$406$	3.62763	−	6.28324i	0.180036	−	0.311832i
$407$	3.73852	+	6.47531i	0.185312	+	0.320969i
$408$	11.3665	−	4.13707i	0.562725	−	0.204815i
$409$	21.4259	−	7.79839i	1.05944	−	0.385606i	0.247224	−	0.968958i	$-0.420482\pi$
$409$	21.4259	−	7.79839i	1.05944	−	0.385606i	0.812219	+	0.583353i	$0.198260\pi$
$410$	−0.100340	−	0.173793i	−0.00495542	−	0.00858304i
$411$	−2.55739	+	4.42953i	−0.126147	+	0.218493i
$412$	0.0502419	−	0.284936i	0.00247524	−	0.0140378i
$413$	3.40504	−	2.85717i	0.167551	−	0.140592i
$414$	−0.283341	−	0.237751i	−0.0139254	−	0.0116848i
$415$	3.55375	+	20.1543i	0.174447	+	0.989336i
$416$	−6.30346	−	2.29427i	−0.309053	−	0.112486i
$417$	32.7590			1.60421
$418$	2.10003	−	3.81967i	0.102716	−	0.186826i
$419$	29.9899			1.46510			0.732552	−	0.680711i	$-0.238329\pi$
$419$	29.9899			1.46510			0.732552	+	0.680711i	$0.238329\pi$
$420$	−14.5783	−	5.30608i	−0.711349	−	0.258910i
$421$	0.757790	+	4.29764i	0.0369324	+	0.209454i	0.997690	−	0.0679364i	$-0.0216415\pi$
$421$	0.757790	+	4.29764i	0.0369324	+	0.209454i	−0.960757	+	0.277391i	$0.910530\pi$
$422$	−14.6194	−	12.2672i	−0.711663	−	0.597156i
$423$	0.173529	−	0.145608i	0.00843726	−	0.00707971i
$424$	1.04950	−	5.95199i	0.0509681	−	0.289054i
$425$	37.7742	−	65.4269i	1.83232	−	3.17367i
$426$	−11.8919	−	20.5974i	−0.576166	−	0.997949i
$427$	−4.49577	+	1.63633i	−0.217565	+	0.0791873i
$428$	4.69614	−	1.70925i	0.226996	−	0.0826199i
$429$	5.67128	+	9.82294i	0.273812	+	0.474256i
$430$	5.39746	−	9.34867i	0.260289	−	0.450833i
$431$	1.68196	−	9.53888i	0.0810173	−	0.459472i	−0.917128	−	0.398593i	$-0.869499\pi$
$431$	1.68196	−	9.53888i	0.0810173	−	0.459472i	0.998145	−	0.0608788i	$-0.0193903\pi$
$432$	4.06837	−	3.41377i	0.195739	−	0.164245i
$433$	−10.3070	−	8.64857i	−0.495321	−	0.415624i	0.360608	−	0.932718i	$-0.382569\pi$
$433$	−10.3070	−	8.64857i	−0.495321	−	0.415624i	−0.855929	+	0.517094i	$0.827014\pi$
$434$	−2.29216	−	12.9995i	−0.110027	−	0.623995i
$435$	−19.5518	−	7.11629i	−0.937439	−	0.341200i
$436$	1.87893			0.0899844
$437$	2.22280	+	11.2277i	0.106331	+	0.537094i
$438$	23.6296			1.12907
$439$	−12.5248	−	4.55865i	−0.597775	−	0.217572i	0.0253705	−	0.999678i	$-0.491923\pi$
$439$	−12.5248	−	4.55865i	−0.597775	−	0.217572i	−0.623146	+	0.782106i	$0.714146\pi$
$440$	−0.684996	−	3.88481i	−0.0326559	−	0.185201i
$441$	0.171604	+	0.143993i	0.00817163	+	0.00685681i
$442$	−36.7596	+	30.8449i	−1.74847	+	1.46714i
$443$	2.38438	−	13.5225i	0.113285	−	0.642472i	−0.874300	−	0.485386i	$-0.838679\pi$
$443$	2.38438	−	13.5225i	0.113285	−	0.642472i	0.987585	−	0.157086i	$-0.0502099\pi$
$444$	6.32146	−	10.9491i	0.300003	−	0.519621i
$445$	16.7000	+	28.9252i	0.791656	+	1.37119i
$446$	−1.84425	+	0.671250i	−0.0873275	+	0.0317846i
$447$	12.4787	−	4.54188i	0.590222	−	0.214823i
$448$	−1.16294	−	2.01427i	−0.0549436	−	0.0951651i
$449$	−19.7162	+	34.1494i	−0.930463	+	1.61161i	−0.147931	+	0.988998i	$0.547261\pi$
$449$	−19.7162	+	34.1494i	−0.930463	+	1.61161i	−0.782531	+	0.622611i	$0.786072\pi$
$450$	0.258324	−	1.46503i	0.0121775	−	0.0690621i
$451$	−0.0389707	+	0.0327003i	−0.00183506	+	0.00153980i
$452$	−2.04597	−	1.71678i	−0.0962345	−	0.0807503i
$453$	−4.87932	−	27.6720i	−0.229251	−	1.30015i
$454$	25.0625	+	9.12201i	1.17624	+	0.428117i
$455$	61.5456			2.88530
$456$	−7.36884	+	0.154137i	−0.345078	+	0.00721815i
$457$	37.7492			1.76583			0.882916	−	0.469532i	$-0.155577\pi$
$457$	37.7492			1.76583			0.882916	+	0.469532i	$0.155577\pi$
$458$	−18.3961	−	6.69563i	−0.859593	−	0.312866i
$459$	−6.59720	−	37.4146i	−0.307931	−	1.74636i
$460$	7.93478	+	6.65807i	0.369961	+	0.310434i
$461$	−8.32520	+	6.98567i	−0.387743	+	0.325355i	−0.815733	−	0.578428i	$-0.803666\pi$
$461$	−8.32520	+	6.98567i	−0.387743	+	0.325355i	0.427990	+	0.903783i	$0.359222\pi$
$462$	−0.682927	+	3.87307i	−0.0317726	+	0.180191i
$463$	7.84120	−	13.5814i	0.364412	−	0.631179i	−0.624270	−	0.781209i	$-0.714603\pi$
$463$	7.84120	−	13.5814i	0.364412	−	0.631179i	0.988682	+	0.150029i	$0.0479368\pi$
$464$	−1.55968	−	2.70145i	−0.0724065	−	0.125412i
$465$	−35.5721	+	12.9472i	−1.64962	+	0.600411i
$466$	21.8029	−	7.93561i	1.01000	−	0.367610i
$467$	−12.7582	−	22.0978i	−0.590378	−	1.02256i	−0.994181	−	0.107719i	$-0.965645\pi$
$467$	−12.7582	−	22.0978i	−0.590378	−	1.02256i	0.403804	−	0.914846i	$-0.367688\pi$
$468$	−0.472449	+	0.818306i	−0.0218390	+	0.0378262i
$469$	−1.72542	+	9.78534i	−0.0796725	+	0.451845i
$470$	−4.85957	+	4.07766i	−0.224155	+	0.188088i
$471$	−13.4863	−	11.3163i	−0.621415	−	0.521429i
$472$	−0.331858	−	1.88206i	−0.0152750	−	0.0866289i
$473$	−2.57150	−	0.935951i	−0.118238	−	0.0430351i
$474$	7.25067			0.333034
$475$	−34.6376	+	30.3211i	−1.58928	+	1.39123i
$476$	−16.6383			−0.762616
$477$	−0.799998	−	0.291176i	−0.0366294	−	0.0133320i
$478$	2.42924	+	13.7769i	0.111111	+	0.630141i
$479$	−20.8631	−	17.5062i	−0.953261	−	0.799881i	0.0265830	−	0.999647i	$-0.491537\pi$
$479$	−20.8631	−	17.5062i	−0.953261	−	0.799881i	−0.979844	+	0.199766i	$0.935982\pi$
$480$	−5.10963	+	4.28749i	−0.233222	+	0.195696i
$481$	−8.70950	+	49.3940i	−0.397119	+	2.25217i
$482$	−0.0673059	+	0.116577i	−0.00306570	+	0.00530994i
$483$	−5.16341	−	8.94329i	−0.234943	−	0.406934i
$484$	−0.939693	+	0.342020i	−0.0427133	+	0.0155464i
$485$	−58.7313	+	21.3764i	−2.66685	+	0.970654i
$486$	−0.731323	−	1.26669i	−0.0331735	−	0.0574581i
$487$	12.8127	−	22.1922i	0.580598	−	1.00563i	−0.414810	−	0.909908i	$-0.636152\pi$
$487$	12.8127	−	22.1922i	0.580598	−	1.00563i	0.995409	−	0.0957175i	$-0.0305145\pi$
$488$	−0.357192	+	2.02574i	−0.0161693	+	0.0917008i
$489$	26.6156	−	22.3331i	1.20360	−	1.00994i
$490$	−4.80566	−	4.03243i	−0.217098	−	0.182167i
$491$	−0.191468	−	1.08587i	−0.00864083	−	0.0490046i	0.980182	−	0.198097i	$-0.0634760\pi$
$491$	−0.191468	−	1.08587i	−0.00864083	−	0.0490046i	−0.988823	+	0.149092i	$0.952365\pi$
$492$	0.0808329	+	0.0294208i	0.00364423	+	0.00132639i
$493$	−22.3146			−1.00500
$494$	27.2610	−	10.5729i	1.22653	−	0.475698i
$495$	−0.555661			−0.0249751
$496$	−5.33303	−	1.94106i	−0.239460	−	0.0871563i
$497$	5.68096	+	32.2183i	0.254826	+	1.44519i
$498$	−6.72001	−	5.63876i	−0.301131	−	0.252679i
$499$	−14.8756	+	12.4821i	−0.665924	+	0.558777i	−0.911856	−	0.410510i	$-0.865351\pi$
$499$	−14.8756	+	12.4821i	−0.665924	+	0.558777i	0.245932	+	0.969287i	$0.420906\pi$
$500$	−3.80922	+	21.6032i	−0.170354	+	0.966124i
$501$	−0.652519	+	1.13020i	−0.0291524	+	0.0504935i
$502$	−9.77296	−	16.9273i	−0.436189	−	0.755501i
$503$	14.1694	−	5.15723i	0.631781	−	0.229949i	−0.00622543	−	0.999981i	$-0.501982\pi$
$503$	14.1694	−	5.15723i	0.631781	−	0.229949i	0.638006	+	0.770031i	$0.279759\pi$
$504$	−0.307868	+	0.112055i	−0.0137135	+	0.00499131i
$505$	22.8483	+	39.5744i	1.01674	+	1.76104i
$506$	1.31290	−	2.27402i	0.0583657	−	0.101092i
$507$	−9.39509	+	53.2822i	−0.417251	+	2.36635i
$508$	13.4849	−	11.3152i	0.598296	−	0.502030i
$509$	−12.8470	−	10.7799i	−0.569431	−	0.477810i	0.312026	−	0.950074i	$-0.398992\pi$
$509$	−12.8470	−	10.7799i	−0.569431	−	0.477810i	−0.881457	+	0.472264i	$0.843437\pi$
$510$	8.28569	+	46.9905i	0.366897	+	2.08077i
$511$	−30.5430	−	11.1167i	−1.35114	−	0.491775i
$512$	−1.00000			−0.0441942
$513$	−3.54223	+	22.8770i	−0.156393	+	1.01004i
$514$	3.13511			0.138284
$515$	1.07250	+	0.390360i	0.0472602	+	0.0172013i
$516$	0.803506	+	4.55691i	0.0353724	+	0.200607i
$517$	1.23191	+	1.03370i	0.0541794	+	0.0454619i
$518$	−13.3220	+	11.1785i	−0.585336	+	0.491155i
$519$	−2.36018	+	13.3853i	−0.103601	+	0.587548i
$520$	13.2306	−	22.9162i	0.580202	−	1.00494i
$521$	−4.36349	−	7.55779i	−0.191168	−	0.331113i	0.754469	−	0.656335i	$-0.227894\pi$
$521$	−4.36349	−	7.55779i	−0.191168	−	0.331113i	−0.945638	+	0.325222i	$0.894561\pi$
$522$	−0.412900	+	0.150283i	−0.0180721	+	0.00657772i
$523$	36.1026	−	13.1403i	1.57866	−	0.574583i	0.603744	−	0.797178i	$-0.293675\pi$
$523$	36.1026	−	13.1403i	1.57866	−	0.574583i	0.974911	+	0.222595i	$0.0714527\pi$
$524$	8.55575	+	14.8190i	0.373760	+	0.647371i
$525$	20.7671	−	35.9697i	0.906352	−	1.56985i
$526$	−0.0787065	+	0.446367i	−0.00343177	+	0.0194625i
$527$	−31.1003	+	26.0963i	−1.35475	+	1.13677i
$528$	1.29530	+	1.08689i	0.0563709	+	0.0473008i
$529$	−2.79663	−	15.8605i	−0.121593	−	0.689585i
$530$	22.4034	+	8.15419i	0.973143	+	0.354195i
$531$	−0.269200			−0.0116823
$532$	9.59727	+	3.26749i	0.416094	+	0.141664i
$533$	−0.341254			−0.0147814
$534$	−13.4534	−	4.89663i	−0.582185	−	0.211898i
$535$	3.42328	+	19.4144i	0.148002	+	0.839358i
$536$	3.27259	+	2.74603i	0.141355	+	0.118611i
$537$	6.14427	−	5.15565i	0.265145	−	0.222483i
$538$	−0.360379	+	2.04381i	−0.0155371	+	0.0881151i
$539$	−0.795155	+	1.37725i	−0.0342497	+	0.0593223i
$540$	10.4750	+	18.1432i	0.450773	+	0.780761i
$541$	−22.6146	+	8.23106i	−0.972280	+	0.353881i	−0.778834	−	0.627230i	$-0.784189\pi$
$541$	−22.6146	+	8.23106i	−0.972280	+	0.353881i	−0.193446	+	0.981111i	$0.561966\pi$
$542$	1.73386	−	0.631073i	0.0744756	−	0.0271069i
$543$	20.9634	+	36.3098i	0.899628	+	1.55820i
$544$	−3.57679	+	6.19518i	−0.153354	+	0.265616i
$545$	−1.28706	+	7.29928i	−0.0551316	+	0.312667i
$546$	−20.2093	+	16.9576i	−0.864878	+	0.725718i
$547$	7.01571	+	5.88688i	0.299970	+	0.251705i	0.780332	−	0.625366i	$-0.215050\pi$
$547$	7.01571	+	5.88688i	0.299970	+	0.251705i	−0.480362	+	0.877070i	$0.659495\pi$
$548$	−0.525266	−	2.97893i	−0.0224383	−	0.127254i
$549$	0.272276	+	0.0991005i	0.0116205	+	0.00422950i
$550$	10.5609			0.450320
$551$	12.8715	+	4.38223i	0.548343	+	0.186689i
$552$	−4.43997			−0.188978
$553$	−9.37201	−	3.41113i	−0.398538	−	0.145056i
$554$	2.49762	+	14.1647i	0.106114	+	0.601800i
$555$	38.2049	+	32.0577i	1.62171	+	1.36077i
$556$	−14.8411	+	12.4532i	−0.629404	+	0.528133i
$557$	0.981511	−	5.56643i	0.0415880	−	0.235857i	−0.956927	−	0.290327i	$-0.906236\pi$
$557$	0.981511	−	5.56643i	0.0415880	−	0.235857i	0.998515	+	0.0544702i	$0.0173470\pi$
$558$	−0.399715	+	0.692326i	−0.0169213	+	0.0293085i
$559$	−9.17835	−	15.8974i	−0.388203	−	0.672387i
$560$	8.62164	−	3.13802i	0.364331	−	0.132606i
$561$	11.3665	−	4.13707i	0.479894	−	0.174667i
$562$	−8.72014	−	15.1037i	−0.367837	−	0.637113i
$563$	−3.69484	+	6.39965i	−0.155719	+	0.269713i	−0.933321	−	0.359044i	$-0.883103\pi$
$563$	−3.69484	+	6.39965i	−0.155719	+	0.269713i	0.777602	+	0.628757i	$0.216436\pi$
$564$	0.472186	−	2.67790i	0.0198826	−	0.112760i
$565$	8.07082	−	6.77223i	0.339542	−	0.284910i
$566$	−5.36685	−	4.50332i	−0.225586	−	0.189289i
$567$	−3.45627	−	19.6015i	−0.145150	−	0.823184i
$568$	13.2175	+	4.81079i	0.554596	+	0.201856i
$569$	−10.4286			−0.437190			−0.218595	−	0.975816i	$-0.570147\pi$
$569$	−10.4286			−0.437190			−0.218595	+	0.975816i	$0.570147\pi$
$570$	4.44884	−	28.7321i	0.186341	−	1.20346i
$571$	3.81095			0.159483			0.0797417	−	0.996816i	$-0.474590\pi$
$571$	3.81095			0.159483			0.0797417	+	0.996816i	$0.474590\pi$
$572$	−6.30346	−	2.29427i	−0.263561	−	0.0959283i
$573$	0.483357	+	2.74125i	0.0201925	+	0.114518i
$574$	−0.0906410	−	0.0760569i	−0.00378328	−	0.00317455i
$575$	−21.2432	+	17.8251i	−0.885902	+	0.743360i
$576$	−0.0244603	+	0.138721i	−0.00101918	+	0.00578006i
$577$	8.19612	−	14.1961i	0.341209	−	0.590991i	−0.643449	−	0.765489i	$-0.722497\pi$
$577$	8.19612	−	14.1961i	0.341209	−	0.590991i	0.984657	+	0.174498i	$0.0558304\pi$
$578$	17.0868	+	29.5952i	0.710718	+	1.23100i
$579$	6.09987	−	2.22017i	0.253502	−	0.0922671i
$580$	11.5630	−	4.20859i	0.480127	−	0.174752i
$581$	6.03330	+	10.4500i	0.250303	+	0.433538i
$582$	13.3953	−	23.2014i	0.555254	−	0.961729i
$583$	1.04950	−	5.95199i	0.0434657	−	0.246506i
$584$	−10.7052	+	8.98270i	−0.442983	+	0.371707i
$585$	−2.85534	−	2.39591i	−0.118054	−	0.0990588i
$586$	2.62401	+	14.8815i	0.108397	+	0.614749i
$587$	21.9669	+	7.99530i	0.906671	+	0.330001i	0.752923	−	0.658109i	$-0.228643\pi$
$587$	21.9669	+	7.99530i	0.906671	+	0.330001i	0.153748	+	0.988110i	$0.450866\pi$
$588$	2.68905			0.110895
$589$	23.0641	−	8.94519i	0.950340	−	0.368580i
$590$	7.53877			0.310366
$591$	8.24252	+	3.00003i	0.339052	+	0.123405i
$592$	1.29837	+	7.36345i	0.0533629	+	0.302636i
$593$	−8.44681	−	7.08771i	−0.346869	−	0.291057i	0.452663	−	0.891682i	$-0.350474\pi$
$593$	−8.44681	−	7.08771i	−0.346869	−	0.291057i	−0.799531	+	0.600625i	$0.794919\pi$
$594$	4.06837	−	3.41377i	0.166927	−	0.140069i
$595$	11.3972	−	64.6366i	0.467239	−	2.64984i
$596$	−3.92677	+	6.80137i	−0.160847	+	0.278595i
$597$	7.98222	+	13.8256i	0.326690	+	0.565844i
$598$	16.5517	−	6.02432i	0.676848	−	0.246353i
$599$	23.3733	−	8.50720i	0.955009	−	0.347595i	0.182933	−	0.983125i	$-0.441441\pi$
$599$	23.3733	−	8.50720i	0.955009	−	0.347595i	0.772076	+	0.635531i	$0.219219\pi$
$600$	−8.92874	−	15.4650i	−0.364514	−	0.631357i
$601$	4.44807	−	7.70428i	0.181440	−	0.314264i	−0.760931	−	0.648833i	$-0.775257\pi$
$601$	4.44807	−	7.70428i	0.181440	−	0.314264i	0.942371	+	0.334569i	$0.108591\pi$
$602$	1.10524	−	6.26815i	0.0450464	−	0.255471i
$603$	0.460982	−	0.386810i	0.0187727	−	0.0157521i
$604$	12.7299	+	10.6817i	0.517973	+	0.434631i
$605$	−0.684996	−	3.88481i	−0.0278491	−	0.157940i
$606$	−18.4064	−	6.69939i	−0.747710	−	0.272144i
$607$	−20.0514			−0.813863			−0.406931	−	0.913459i	$-0.633401\pi$
$607$	−20.0514			−0.813863			−0.406931	+	0.913459i	$0.633401\pi$
$608$	3.27979	−	2.87106i	0.133013	−	0.116437i
$609$	−12.2679			−0.497120
$610$	−7.62492	−	2.77525i	−0.308724	−	0.112366i
$611$	1.87322	+	10.6236i	0.0757824	+	0.429783i
$612$	0.771915	+	0.647713i	0.0312028	+	0.0261823i
$613$	15.8904	−	13.3337i	0.641809	−	0.538542i	−0.262764	−	0.964860i	$-0.584634\pi$
$613$	15.8904	−	13.3337i	0.641809	−	0.538542i	0.904573	+	0.426318i	$0.140190\pi$
$614$	−2.26428	+	12.8414i	−0.0913790	+	0.518236i
$615$	−0.169664	+	0.293867i	−0.00684152	+	0.0118499i
$616$	−1.16294	−	2.01427i	−0.0468561	−	0.0811571i
$617$	−25.8652	+	9.41417i	−1.04129	+	0.379000i	−0.805371	−	0.592771i	$-0.798034\pi$
$617$	−25.8652	+	9.41417i	−1.04129	+	0.379000i	−0.235924	+	0.971772i	$0.575812\pi$
$618$	−0.459726	+	0.167327i	−0.0184929	+	0.00673086i
$619$	−13.5267	−	23.4290i	−0.543685	−	0.941690i	−0.998688	−	0.0512000i	$-0.983695\pi$
$619$	−13.5267	−	23.4290i	−0.543685	−	0.941690i	0.455004	−	0.890490i	$-0.349638\pi$
$620$	11.1938	−	19.3882i	0.449552	−	0.778647i
$621$	−2.42158	+	13.7335i	−0.0971748	+	0.551106i
$622$	−6.85340	+	5.75069i	−0.274796	+	0.230582i
$623$	15.0858	+	12.6585i	0.604400	+	0.507152i
$624$	1.96961	+	11.1702i	0.0788476	+	0.447167i
$625$	−31.6947	−	11.5359i	−1.26779	−	0.461437i
$626$	−22.2753			−0.890301
$627$	−7.36884	+	0.154137i	−0.294283	+	0.00615566i
$628$	10.4117			0.415471
$629$	50.2619	+	18.2938i	2.00407	+	0.729423i
$630$	−0.224423	−	1.27276i	−0.00894121	−	0.0507081i
$631$	5.39328	+	4.52550i	0.214703	+	0.180157i	0.743796	−	0.668407i	$-0.233023\pi$
$631$	5.39328	+	4.52550i	0.214703	+	0.180157i	−0.529093	+	0.848564i	$0.677468\pi$
$632$	−3.28484	+	2.75631i	−0.130664	+	0.109640i
$633$	−5.60356	+	31.7794i	−0.222722	+	1.26312i
$634$	4.61756	−	7.99785i	0.183387	−	0.317635i
$635$	34.7202	+	60.1371i	1.37783	+	2.38647i
$636$	−9.60317	+	3.49527i	−0.380790	+	0.138596i
$637$	−10.0244	+	3.64860i	−0.397183	+	0.144563i
$638$	−1.55968	−	2.70145i	−0.0617485	−	0.106951i
$639$	0.990666	−	1.71588i	0.0391901	−	0.0678793i
$640$	0.684996	−	3.88481i	0.0270769	−	0.153560i
$641$	3.60272	−	3.02304i	0.142299	−	0.119403i	−0.568860	−	0.822435i	$-0.692615\pi$
$641$	3.60272	−	3.02304i	0.142299	−	0.119403i	0.711159	+	0.703032i	$0.248171\pi$
$642$	−6.47331	−	5.43175i	−0.255481	−	0.214374i
$643$	1.91384	+	10.8539i	0.0754746	+	0.428038i	0.999008	+	0.0445207i	$0.0141761\pi$
$643$	1.91384	+	10.8539i	0.0754746	+	0.428038i	−0.923534	+	0.383517i	$0.874713\pi$
$644$	5.73898	+	2.08882i	0.226148	+	0.0823110i
$645$	−18.2531			−0.718716
$646$	−6.05566	−	30.5880i	−0.238257	−	1.20347i
$647$	11.5628			0.454581			0.227291	−	0.973827i	$-0.427013\pi$
$647$	11.5628			0.454581			0.227291	+	0.973827i	$0.427013\pi$
$648$	−8.04149	−	2.92686i	−0.315900	−	0.114978i
$649$	−0.331858	−	1.88206i	−0.0130266	−	0.0738774i
$650$	54.2687	+	45.5369i	2.12860	+	1.78610i
$651$	−17.0980	+	14.3469i	−0.670124	+	0.562301i
$652$	−3.56808	+	20.2356i	−0.139737	+	0.792487i
$653$	−1.45760	+	2.52463i	−0.0570402	+	0.0987966i	−0.893136	−	0.449788i	$-0.851500\pi$
$653$	−1.45760	+	2.52463i	−0.0570402	+	0.0987966i	0.836095	+	0.548584i	$0.184833\pi$
$654$	−1.58854	−	2.75143i	−0.0621168	−	0.107589i
$655$	−63.4296	+	23.0865i	−2.47840	+	0.902063i
$656$	−0.0478047	+	0.0173995i	−0.00186646	+	0.000679336i
$657$	0.984241	+	1.70476i	0.0383989	+	0.0665088i
$658$	−1.87017	+	3.23924i	−0.0729070	+	0.126279i
$659$	1.29686	−	7.35488i	0.0505186	−	0.286505i	−0.949074	−	0.315054i	$-0.897977\pi$
$659$	1.29686	−	7.35488i	0.0505186	−	0.286505i	0.999592	+	0.0285486i	$0.00908853\pi$
$660$	−5.10963	+	4.28749i	−0.198892	+	0.166890i
$661$	−23.4731	−	19.6962i	−0.912997	−	0.766095i	0.0596899	−	0.998217i	$-0.480989\pi$
$661$	−23.4731	−	19.6962i	−0.912997	−	0.766095i	−0.972687	+	0.232122i	$0.925433\pi$
$662$	1.16318	+	6.59673i	0.0452083	+	0.256389i
$663$	76.2465	+	27.7514i	2.96117	+	1.07778i
$664$	5.18798			0.201333
$665$	−19.2677	+	35.0453i	−0.747168	+	1.35900i
$666$	1.05323			0.0408117
$667$	7.69689	+	2.80144i	0.298025	+	0.108472i
$668$	−0.134022	−	0.760076i	−0.00518547	−	0.0294082i
$669$	2.54217	+	2.13313i	0.0982859	+	0.0824717i
$670$	−12.9095	+	10.8324i	−0.498738	+	0.418491i
$671$	−0.357192	+	2.02574i	−0.0137893	+	0.0782027i
$672$	−1.96641	+	3.40592i	−0.0758559	+	0.131386i
$673$	1.24769	+	2.16106i	0.0480949	+	0.0833028i	0.889071	−	0.457770i	$-0.151352\pi$
$673$	1.24769	+	2.16106i	0.0480949	+	0.0833028i	−0.840976	+	0.541073i	$0.818018\pi$
$674$	24.2288	−	8.81857i	0.933259	−	0.339679i
$675$	−52.7054	+	19.1832i	−2.02863	+	0.738361i
$676$	−15.9986	−	27.7105i	−0.615332	−	1.06579i
$677$	−2.01344	+	3.48737i	−0.0773826	+	0.134031i	−0.902120	−	0.431485i	$-0.857990\pi$
$677$	−2.01344	+	3.48737i	−0.0773826	+	0.134031i	0.824737	+	0.565516i	$0.191323\pi$
$678$	−0.784213	+	4.44749i	−0.0301175	+	0.170805i
$679$	−28.2297	+	23.6875i	−1.08336	+	0.909044i
$680$	−21.6170	−	18.1388i	−0.828973	−	0.695591i
$681$	−7.83117	−	44.4128i	−0.300091	−	1.70190i
$682$	−5.33303	−	1.94106i	−0.204212	−	0.0743272i
$683$	−23.5289			−0.900309			−0.450155	−	0.892951i	$-0.648631\pi$
$683$	−23.5289			−0.900309			−0.450155	+	0.892951i	$0.648631\pi$
$684$	−0.318054	−	0.525204i	−0.0121611	−	0.0200817i
$685$	11.9324			0.455913
$686$	−18.7750	−	6.83356i	−0.716834	−	0.260906i
$687$	5.74814	+	32.5993i	0.219305	+	1.24374i
$688$	−2.09631	−	1.75901i	−0.0799211	−	0.0670617i
$689$	31.0569	−	26.0598i	1.18317	−	0.992801i
$690$	3.04137	−	17.2484i	0.115783	−	0.656637i
$691$	0.110398	−	0.191214i	0.00419972	−	0.00727413i	−0.863918	−	0.503633i	$-0.831997\pi$
$691$	0.110398	−	0.191214i	0.00419972	−	0.00727413i	0.868118	+	0.496359i	$0.165330\pi$
$692$	−4.01909	−	6.96127i	−0.152783	−	0.264628i
$693$	−0.307868	+	0.112055i	−0.0116949	+	0.00425661i
$694$	−15.2311	+	5.54367i	−0.578164	+	0.210435i
$695$	−38.2121	−	66.1853i	−1.44947	−	2.51055i
$696$	−2.63727	+	4.56788i	−0.0999653	+	0.173145i
$697$	−0.0631943	+	0.358393i	−0.00239366	+	0.0135751i
$698$	13.2784	−	11.1419i	0.502596	−	0.421728i
$699$	−30.0538	−	25.2182i	−1.13674	−	0.953839i
$700$	4.26539	+	24.1902i	0.161217	+	0.914305i
$701$	26.1028	+	9.50064i	0.985889	+	0.358834i	0.784127	−	0.620600i	$-0.213111\pi$
$701$	26.1028	+	9.50064i	0.985889	+	0.358834i	0.201762	+	0.979435i	$0.435333\pi$
$702$	35.6254			1.34459
$703$	−25.3993	−	20.4228i	−0.957953	−	0.770261i
$704$	−1.00000			−0.0376889
$705$	10.0797	+	3.66871i	0.379623	+	0.138171i
$706$	4.60695	+	26.1273i	0.173385	+	0.983315i
$707$	20.6398	+	17.3189i	0.776241	+	0.651343i
$708$	−2.47545	+	2.07715i	−0.0930330	+	0.0780640i
$709$	7.08767	−	40.1962i	0.266183	−	1.50960i	−0.499462	−	0.866336i	$-0.666469\pi$
$709$	7.08767	−	40.1962i	0.266183	−	1.50960i	0.765645	−	0.643264i	$-0.222420\pi$
$710$	−27.7430	+	48.0522i	−1.04117	+	1.80337i
$711$	0.302011	+	0.523098i	0.0113263	+	0.0196177i
$712$	7.95636	−	2.89588i	0.298177	−	0.108528i
$713$	14.0035	−	5.09686i	0.524435	−	0.190879i
$714$	14.0669	+	24.3645i	0.526439	+	0.911819i
$715$	13.2306	−	22.9162i	0.494798	−	0.857016i
$716$	−0.823699	+	4.67143i	−0.0307831	+	0.174580i
$717$	18.1206	−	15.2050i	0.676725	−	0.567840i
$718$	−21.9874	−	18.4496i	−0.820563	−	0.688534i
$719$	3.73607	+	21.1883i	0.139332	+	0.790190i	0.971745	+	0.236034i	$0.0758477\pi$
$719$	3.73607	+	21.1883i	0.139332	+	0.790190i	−0.832413	+	0.554156i	$0.813041\pi$
$720$	−0.522151	−	0.190047i	−0.0194594	−	0.00708265i
$721$	0.672948			0.0250619
$722$	−2.51398	+	18.8329i	−0.0935608	+	0.700890i
$723$	0.227615			0.00846508
$724$	−23.3003	−	8.48060i	−0.865948	−	0.315179i
$725$	5.72057	+	32.4430i	0.212457	+	1.20490i
$726$	1.29530	+	1.08689i	0.0480732	+	0.0403382i
$727$	−29.8409	+	25.0395i	−1.10674	+	0.928662i	−0.997860	−	0.0653931i	$-0.979170\pi$
$727$	−29.8409	+	25.0395i	−1.10674	+	0.928662i	−0.108877	+	0.994055i	$0.534725\pi$
$728$	2.70925	−	15.3649i	0.100412	−	0.569463i
$729$	−14.0730	+	24.3751i	−0.521220	+	0.902780i
$730$	−27.5630	−	47.7406i	−1.02015	−	1.76696i
$731$	−18.3955	+	6.69540i	−0.680380	+	0.247638i
$732$	3.26840	−	1.18960i	0.120804	−	0.0439689i
$733$	6.60907	+	11.4472i	0.244111	+	0.422813i	0.961881	−	0.273467i	$-0.0881704\pi$
$733$	6.60907	+	11.4472i	0.244111	+	0.422813i	−0.717770	+	0.696280i	$0.754837\pi$
$734$	−1.26282	+	2.18726i	−0.0466114	+	0.0807332i
$735$	−1.84199	+	10.4464i	−0.0679428	+	0.385323i
$736$	2.01149	−	1.68784i	0.0741443	−	0.0622145i
$737$	3.27259	+	2.74603i	0.120548	+	0.101151i
$738$	0.00124436	+	0.00705713i	4.58056e−5	+	0.000259777i
$739$	40.5088	+	14.7440i	1.49014	+	0.542366i	0.953486	−	0.301437i	$-0.0974661\pi$
$739$	40.5088	+	14.7440i	1.49014	+	0.542366i	0.536653	+	0.843803i	$0.319688\pi$
$740$	−29.4950			−1.08426
$741$	−38.5304	−	30.9811i	−1.41545	−	1.13812i
$742$	14.0571			0.516054
$743$	33.3781	+	12.1486i	1.22452	+	0.445690i	0.871719	−	0.490007i	$-0.163006\pi$
$743$	33.3781	+	12.1486i	1.22452	+	0.445690i	0.352805	+	0.935697i	$0.385228\pi$
$744$	1.66639	+	9.45055i	0.0610927	+	0.346474i
$745$	−23.7322	−	19.9137i	−0.869480	−	0.729581i
$746$	20.9115	−	17.5468i	0.765625	−	0.642436i
$747$	0.126900	−	0.719685i	0.00464302	−	0.0263319i
$748$	−3.57679	+	6.19518i	−0.130780	+	0.226518i
$749$	5.81181	+	10.0663i	0.212359	+	0.367816i
$750$	34.8554	−	12.6863i	1.27274	−	0.463239i
$751$	18.9480	−	6.89651i	0.691422	−	0.251657i	0.0276783	−	0.999617i	$-0.491189\pi$
$751$	18.9480	−	6.89651i	0.691422	−	0.251657i	0.663744	+	0.747960i	$0.268966\pi$
$752$	0.804073	+	1.39270i	0.0293215	+	0.0507864i
$753$	−16.5251	+	28.6223i	−0.602208	+	1.04305i
$754$	3.63354	−	20.6068i	0.132326	−	0.750456i
$755$	−50.2162	+	42.1364i	−1.82755	+	1.53350i
$756$	9.46251	+	7.93999i	0.344148	+	0.288775i
$757$	−1.16103	−	6.58453i	−0.0421984	−	0.239319i	0.956412	−	0.292021i	$-0.0943277\pi$
$757$	−1.16103	−	6.58453i	−0.0421984	−	0.239319i	−0.998610	+	0.0527021i	$0.983217\pi$
$758$	−29.4100	−	10.7044i	−1.06822	−	0.388800i
$759$	−4.43997			−0.161161
$760$	8.90689	+	14.7080i	0.323087	+	0.533515i
$761$	−33.7198			−1.22234			−0.611172	−	0.791498i	$-0.709302\pi$
$761$	−33.7198			−1.22234			−0.611172	+	0.791498i	$0.709302\pi$
$762$	−27.9703	−	10.1804i	−1.01326	−	0.368796i
$763$	0.758869	+	4.30376i	0.0274729	+	0.155807i
$764$	−1.26106	−	1.05815i	−0.0456234	−	0.0382826i
$765$	−3.04500	+	2.55506i	−0.110092	+	0.0923783i
$766$	4.67452	−	26.5105i	0.168897	−	0.957865i
$767$	6.40981	−	11.1021i	0.231445	−	0.400874i
$768$	0.845449	+	1.46436i	0.0305075	+	0.0528406i
$769$	−6.50152	+	2.36636i	−0.234451	+	0.0853331i	−0.456574	−	0.889686i	$-0.650924\pi$
$769$	−6.50152	+	2.36636i	−0.234451	+	0.0853331i	0.222123	+	0.975019i	$0.428701\pi$
$770$	8.62164	−	3.13802i	0.310702	−	0.113086i
$771$	−2.65058	−	4.59094i	−0.0954583	−	0.165339i
$772$	−1.91949	+	3.32466i	−0.0690841	+	0.119657i
$773$	−2.82270	+	16.0083i	−0.101525	+	0.575779i	0.891026	+	0.453952i	$0.149986\pi$
$773$	−2.82270	+	16.0083i	−0.101525	+	0.575779i	−0.992551	+	0.121826i	$0.961125\pi$
$774$	−0.295289	+	0.247777i	−0.0106140	+	0.00890616i
$775$	45.9140	+	38.5264i	1.64928	+	1.38391i
$776$	2.75129	+	15.6033i	0.0987655	+	0.560127i
$777$	27.6325	+	10.0574i	0.991309	+	0.360807i
$778$	10.2373			0.367027
$779$	0.106834	−	0.194317i	0.00382773	−	0.00696212i
$780$	−44.7434			−1.60207
$781$	13.2175	+	4.81079i	0.472961	+	0.172144i
$782$	−3.26179	−	18.4985i	−0.116641	−	0.661506i
$783$	12.6907	+	10.6488i	0.453530	+	0.380557i
$784$	−1.21825	+	1.02223i	−0.0435088	+	0.0365083i
$785$	−7.13196	+	40.4474i	−0.254551	+	1.44363i
$786$	14.4669	−	25.0574i	0.516017	−	0.893768i
$787$	−0.980112	−	1.69760i	−0.0349372	−	0.0605131i	0.848028	−	0.529951i	$-0.177790\pi$
$787$	−0.980112	−	1.69760i	−0.0349372	−	0.0605131i	−0.882965	+	0.469438i	$0.844456\pi$
$788$	−4.87464	+	1.77422i	−0.173652	+	0.0632041i
$789$	0.720185	−	0.262126i	0.0256393	−	0.00933193i
$790$	−8.45763	−	14.6490i	−0.300909	−	0.521189i
$791$	3.10601	−	5.37976i	0.110437	−	0.191282i
$792$	−0.0244603	+	0.138721i	−0.000869160	+	0.00492925i
$793$	−10.5701	+	8.86936i	−0.375355	+	0.314960i
$794$	1.60012	+	1.34266i	0.0567863	+	0.0476493i
$795$	−7.00030	−	39.7007i	−0.248275	−	1.40804i
$796$	−8.87200	−	3.22915i	−0.314460	−	0.114454i
$797$	9.61494			0.340579			0.170289	−	0.985394i	$-0.445530\pi$
$797$	9.61494			0.340579			0.170289	+	0.985394i	$0.445530\pi$
$798$	−3.32921	−	16.8164i	−0.117853	−	0.595293i
$799$	11.5040			0.406982
$800$	9.92404	+	3.61205i	0.350868	+	0.127705i
$801$	−0.207105	−	1.17455i	−0.00731770	−	0.0415007i
$802$	7.74626	+	6.49989i	0.273530	+	0.229519i
$803$	−10.7052	+	8.98270i	−0.377777	+	0.316992i
$804$	1.25437	−	7.11389i	0.0442383	−	0.250888i
$805$	−12.0458	+	20.8640i	−0.424560	+	0.735359i
$806$	−19.0349	−	32.9695i	−0.670477	−	1.16130i
$807$	3.29756	−	1.20022i	0.116080	−	0.0422496i
$808$	10.8856	−	3.96203i	0.382954	−	0.139384i
$809$	−20.4922	−	35.4936i	−0.720468	−	1.24789i	−0.960812	−	0.277199i	$-0.910594\pi$
$809$	−20.4922	−	35.4936i	−0.720468	−	1.24789i	0.240345	−	0.970688i	$-0.422740\pi$
$810$	16.8787	−	29.2347i	0.593057	−	1.02720i
$811$	2.81321	−	15.9545i	0.0987851	−	0.560238i	−0.894736	−	0.446594i	$-0.852637\pi$
$811$	2.81321	−	15.9545i	0.0987851	−	0.560238i	0.993522	−	0.113644i	$-0.0362522\pi$
$812$	5.55785	−	4.66359i	0.195042	−	0.163660i
$813$	−2.39001	−	2.00545i	−0.0838212	−	0.0703344i
$814$	1.29837	+	7.36345i	0.0455080	+	0.258089i
$815$	−76.1672	−	27.7226i	−2.66802	−	0.971080i
$816$	12.0960			0.423444
$817$	11.9257	−	0.249455i	0.417227	−	0.00872732i
$818$	22.8010			0.797217
$819$	−2.06518	−	0.751663i	−0.0721631	−	0.0262652i
$820$	−0.0348476	−	0.197631i	−0.00121693	−	0.00690156i
$821$	38.1457	+	32.0080i	1.33129	+	1.11709i	0.983773	+	0.179415i	$0.0574205\pi$
$821$	38.1457	+	32.0080i	1.33129	+	1.11709i	0.347520	+	0.937673i	$0.387024\pi$
$822$	−3.91815	+	3.28772i	−0.136661	+	0.114672i
$823$	5.39637	−	30.6043i	0.188106	−	1.06680i	−0.733794	−	0.679372i	$-0.762252\pi$
$823$	5.39637	−	30.6043i	0.188106	−	1.06680i	0.921900	−	0.387428i	$-0.126636\pi$
$824$	0.144666	−	0.250568i	0.00503967	−	0.00872896i
$825$	−8.92874	−	15.4650i	−0.310859	−	0.538423i
$826$	4.17690	−	1.52027i	0.145333	−	0.0528969i
$827$	5.45684	−	1.98613i	0.189753	−	0.0690644i	−0.245396	−	0.969423i	$-0.578918\pi$
$827$	5.45684	−	1.98613i	0.189753	−	0.0690644i	0.435149	+	0.900359i	$0.356696\pi$
$828$	−0.184938	−	0.320321i	−0.00642702	−	0.0111319i
$829$	26.1768	−	45.3396i	0.909159	−	1.57471i	0.0939241	−	0.995579i	$-0.470059\pi$
$829$	26.1768	−	45.3396i	0.909159	−	1.57471i	0.815235	−	0.579130i	$-0.196608\pi$
$830$	−3.55375	+	20.1543i	−0.123352	+	0.699566i
$831$	18.6306	−	15.6329i	0.646289	−	0.542301i
$832$	−5.13863	−	4.31182i	−0.178150	−	0.149485i
$833$	1.97549	+	11.2036i	0.0684467	+	0.388180i
$834$	30.7834	+	11.2042i	1.06594	+	0.387971i
$835$	3.04455			0.105361
$836$	3.27979	−	2.87106i	0.113434	−	0.0992978i
$837$	30.1408			1.04182
$838$	28.1813	+	10.2572i	0.973507	+	0.354328i
$839$	−3.89585	−	22.0945i	−0.134500	−	0.762785i	−0.975207	−	0.221295i	$-0.928972\pi$
$839$	−3.89585	−	22.0945i	−0.134500	−	0.762785i	0.840707	−	0.541490i	$-0.182140\pi$
$840$	−11.8844	−	9.97216i	−0.410049	−	0.344072i
$841$	−14.7613	+	12.3862i	−0.509011	+	0.427111i
$842$	−0.757790	+	4.29764i	−0.0261152	+	0.148106i
$843$	−14.7449	+	25.5389i	−0.507841	+	0.879606i
$844$	−9.54216	−	16.5275i	−0.328455	−	0.568900i
$845$	118.609	−	43.1701i	4.08027	−	1.48510i
$846$	0.212865	−	0.0774764i	0.00731844	−	0.00266369i
$847$	−1.16294	−	2.01427i	−0.0399590	−	0.0692110i
$848$	3.02191	−	5.23410i	0.103773	−	0.179740i
$849$	−2.05709	+	11.6663i	−0.0705992	+	0.400388i
$850$	57.8735	−	48.5616i	1.98504	−	1.66565i
$851$	−15.0400	−	12.6200i	−0.515563	−	0.432609i
$852$	−4.13003	−	23.4225i	−0.141492	−	0.802443i
$853$	5.39525	+	1.96371i	0.184730	+	0.0672362i	0.432729	−	0.901524i	$-0.357551\pi$
$853$	5.39525	+	1.96371i	0.184730	+	0.0672362i	−0.247999	+	0.968760i	$0.579773\pi$
$854$	−4.78430			−0.163715
$855$	2.25818	−	0.875814i	0.0772282	−	0.0299522i
$856$	4.99752			0.170812
$857$	−24.5569	−	8.93800i	−0.838849	−	0.305316i	−0.113364	−	0.993554i	$-0.536163\pi$
$857$	−24.5569	−	8.93800i	−0.838849	−	0.305316i	−0.725486	+	0.688237i	$0.758385\pi$
$858$	1.96961	+	11.1702i	0.0672415	+	0.381345i
$859$	−12.3230	−	10.3402i	−0.420454	−	0.352803i	0.407882	−	0.913035i	$-0.366268\pi$
$859$	−12.3230	−	10.3402i	−0.420454	−	0.352803i	−0.828336	+	0.560232i	$0.810712\pi$
$860$	8.26939	−	6.93884i	0.281984	−	0.236612i
$861$	−0.0347423	+	0.197033i	−0.00118401	+	0.00671488i
$862$	4.84302	−	8.38835i	0.164954	−	0.285708i
$863$	0.345167	+	0.597847i	0.0117496	+	0.0203509i	0.871840	−	0.489790i	$-0.162927\pi$
$863$	0.345167	+	0.597847i	0.0117496	+	0.0203509i	−0.860091	+	0.510141i	$0.829593\pi$
$864$	4.99059	−	1.81643i	0.169783	−	0.0617961i
$865$	29.7963	−	10.8450i	1.01310	−	0.368739i
$866$	−6.72739	−	11.6522i	−0.228606	−	0.395957i
$867$	28.8921	−	50.0426i	0.981227	−	1.69953i
$868$	2.29216	−	12.9995i	0.0778009	−	0.441231i
$869$	−3.28484	+	2.75631i	−0.111431	+	0.0935014i
$870$	−15.9388	−	13.3743i	−0.540376	−	0.453430i
$871$	4.97624	+	28.2217i	0.168614	+	0.956255i
$872$	1.76562	+	0.642632i	0.0597913	+	0.0217622i
$873$	2.23181			0.0755355
$874$	−1.75135	+	11.3108i	−0.0592404	+	0.382595i
$875$	−51.0214			−1.72484
$876$	22.2046	+	8.08181i	0.750223	+	0.273059i
$877$	−1.84597	−	10.4690i	−0.0623339	−	0.353513i	−0.999982	−	0.00592837i	$-0.998113\pi$
$877$	−1.84597	−	10.4690i	−0.0623339	−	0.353513i	0.937648	−	0.347585i	$-0.112998\pi$
$878$	−10.2103	−	8.56746i	−0.344581	−	0.289138i
$879$	19.5734	−	16.4240i	0.660195	−	0.553969i
$880$	0.684996	−	3.88481i	0.0230912	−	0.130957i
$881$	−12.2047	+	21.1391i	−0.411186	+	0.712195i	−0.995020	−	0.0996781i	$-0.968219\pi$
$881$	−12.2047	+	21.1391i	−0.411186	+	0.712195i	0.583834	+	0.811873i	$0.301552\pi$
$882$	0.112007	+	0.194001i	0.00377146	+	0.00653236i
$883$	−46.9575	+	17.0911i	−1.58024	+	0.575162i	−0.975257	−	0.221073i	$-0.929044\pi$
$883$	−46.9575	+	17.0911i	−1.58024	+	0.575162i	−0.604987	+	0.796235i	$0.706822\pi$
$884$	−45.0923	+	16.4122i	−1.51662	+	0.552004i
$885$	−6.37364	−	11.0395i	−0.214248	−	0.371088i
$886$	6.86554	−	11.8915i	0.230652	−	0.399501i
$887$	−1.86940	+	10.6019i	−0.0627684	+	0.355977i	0.937206	+	0.348777i	$0.113403\pi$
$887$	−1.86940	+	10.6019i	−0.0627684	+	0.355977i	−0.999974	+	0.00720013i	$0.997708\pi$
$888$	9.68504	−	8.12671i	0.325009	−	0.272715i
$889$	31.3642	+	26.3177i	1.05192	+	0.882667i
$890$	5.79985	+	32.8926i	0.194411	+	1.10256i
$891$	−8.04149	−	2.92686i	−0.269400	−	0.0980536i
$892$	−1.96260			−0.0657129
$893$	−6.63571	−	2.25920i	−0.222055	−	0.0756012i
$894$	13.2796			0.444135
$895$	−17.5834	−	6.39982i	−0.587747	−	0.213923i
$896$	−0.403884	−	2.29054i	−0.0134928	−	0.0765215i
$897$	−22.8154	−	19.1444i	−0.761783	−	0.639212i
$898$	−30.2069	+	25.3466i	−1.00802	+	0.845827i
$899$	3.07415	−	17.4344i	0.102529	−	0.581469i
$900$	0.743815	−	1.28833i	0.0247938	−	0.0429442i
$901$	−21.6174	−	37.4425i	−0.720181	−	1.24739i
$902$	−0.0478047	+	0.0173995i	−0.00159172	+	0.000579339i
$903$	−10.1133	+	3.68092i	−0.336548	+	0.122494i
$904$	−1.33541	−	2.31301i	−0.0444152	−	0.0769294i
$905$	48.9061	−	84.7079i	1.62569	−	2.81578i
$906$	4.87932	−	27.6720i	0.162105	−	0.919341i
$907$	22.9063	−	19.2207i	0.760591	−	0.638212i	−0.177689	−	0.984087i	$-0.556862\pi$
$907$	22.9063	−	19.2207i	0.760591	−	0.638212i	0.938281	+	0.345875i	$0.112418\pi$
$908$	20.4312	+	17.1438i	0.678032	+	0.568936i
$909$	−0.283353	−	1.60698i	−0.00939824	−	0.0533001i
$910$	57.8340	+	21.0498i	1.91718	+	0.697796i
$911$	−18.3484			−0.607910			−0.303955	−	0.952686i	$-0.598307\pi$
$911$	−18.3484			−0.607910			−0.303955	+	0.952686i	$0.598307\pi$
$912$	−6.97717	−	2.37545i	−0.231037	−	0.0786591i
$913$	5.18798			0.171697
$914$	35.4726	+	12.9110i	1.17333	+	0.427057i
$915$	2.38253	+	13.5120i	0.0787639	+	0.446692i
$916$	−14.9966	−	12.5837i	−0.495503	−	0.415776i
$917$	−30.4880	+	25.5824i	−1.00680	+	0.844806i
$918$	6.59720	−	37.4146i	0.217740	−	1.23487i
$919$	−5.87877	+	10.1823i	−0.193923	+	0.335884i	−0.946547	−	0.322567i	$-0.895454\pi$
$919$	−5.87877	+	10.1823i	−0.193923	+	0.335884i	0.752624	+	0.658450i	$0.228788\pi$
$920$	5.17906	+	8.97039i	0.170748	+	0.295745i
$921$	20.7188	−	7.54101i	0.682706	−	0.248485i
$922$	−10.2124	+	3.71700i	−0.336326	+	0.122413i
$923$	47.1768	+	81.7125i	1.55284	+	2.68960i
$924$	−1.96641	+	3.40592i	−0.0646901	+	0.112047i
$925$	13.7121	−	77.7649i	0.450850	−	2.55690i
$926$	12.0134	−	10.0805i	0.394785	−	0.331264i
$927$	−0.0312206	−	0.0261972i	−0.00102542	−	0.000860430i
$928$	−0.541672	−	3.07198i	−0.0177813	−	0.100843i
$929$	54.2019	+	19.7279i	1.77831	+	0.647251i	0.999808	+	0.0196062i	$0.00624124\pi$
$929$	54.2019	+	19.7279i	1.77831	+	0.647251i	0.778500	+	0.627645i	$0.215981\pi$
$930$	−37.8550			−1.24132
$931$	1.06070	−	6.85037i	0.0347630	−	0.224512i
$932$	23.2022			0.760012
$933$	14.2153	+	5.17394i	0.465388	+	0.169387i
$934$	−4.43087	−	25.1287i	−0.144982	−	0.822236i
$935$	−21.6170	−	18.1388i	−0.706951	−	0.593202i
$936$	−0.723835	+	0.607369i	−0.0236593	+	0.0198525i
$937$	−6.81444	+	38.6466i	−0.222618	+	1.26253i	0.644569	+	0.764546i	$0.277037\pi$
$937$	−6.81444	+	38.6466i	−0.222618	+	1.26253i	−0.867187	+	0.497983i	$0.834074\pi$
$938$	−4.96815	+	8.60508i	−0.162216	+	0.280966i
$939$	18.8327	+	32.6191i	0.614581	+	1.06449i
$940$	−5.96114	+	2.16968i	−0.194431	+	0.0707671i
$941$	12.5019	−	4.55031i	0.407549	−	0.148336i	−0.130107	−	0.991500i	$-0.541532\pi$
$941$	12.5019	−	4.55031i	0.407549	−	0.148336i	0.537656	+	0.843164i	$0.319310\pi$
$942$	−8.80255	−	15.2465i	−0.286802	−	0.496756i
$943$	0.0667909	−	0.115685i	0.00217501	−	0.00376723i
$944$	0.331858	−	1.88206i	0.0108011	−	0.0612559i
$945$	−37.3271	+	31.3212i	−1.21425	+	1.01888i
$946$	−2.09631	−	1.75901i	−0.0681569	−	0.0571904i
$947$	5.69764	+	32.3129i	0.185148	+	1.05003i	0.925764	+	0.378101i	$0.123423\pi$
$947$	5.69764	+	32.3129i	0.185148	+	1.05003i	−0.740616	+	0.671929i	$0.765466\pi$
$948$	6.81340	+	2.47987i	0.221289	+	0.0805426i
$949$	−93.7416			−3.04298
$950$	−42.9192	+	16.6458i	−1.39248	+	0.540061i
$951$	−15.6157			−0.506373
$952$	−15.6349	−	5.69064i	−0.506730	−	0.184435i
$953$	1.89084	+	10.7235i	0.0612502	+	0.347367i	0.999996	+	0.00275717i	$0.000877635\pi$
$953$	1.89084	+	10.7235i	0.0612502	+	0.347367i	−0.938746	+	0.344610i	$0.888011\pi$
$954$	−0.652165	−	0.547231i	−0.0211146	−	0.0177173i
$955$	4.97453	−	4.17413i	0.160972	−	0.135072i
$956$	−2.42924	+	13.7769i	−0.0785673	+	0.445577i
$957$	−2.63727	+	4.56788i	−0.0852507	+	0.147659i
$958$	−13.6174	−	23.5861i	−0.439959	−	0.762032i
$959$	6.61122	−	2.40629i	0.213487	−	0.0777030i
$960$	−6.26789	+	2.28133i	−0.202295	+	0.0736295i
$961$	−0.604462	−	1.04696i	−0.0194988	−	0.0337729i
$962$	−25.0780	+	43.4364i	−0.808547	+	1.40044i
$963$	0.122241	−	0.693264i	0.00393916	−	0.0223401i
$964$	−0.103119	+	0.0865267i	−0.00332123	+	0.00278684i
$965$	−11.6008	−	9.73425i	−0.373444	−	0.313356i
$966$	−1.79323	−	10.1699i	−0.0576963	−	0.327212i
$967$	−25.6724	−	9.34398i	−0.825568	−	0.300482i	−0.105529	−	0.994416i	$-0.533654\pi$
$967$	−25.6724	−	9.34398i	−0.825568	−	0.300482i	−0.720038	+	0.693934i	$0.755876\pi$
$968$	−1.00000			−0.0321412
$969$	−39.6722	+	34.7283i	−1.27445	+	1.11563i
$970$	−62.5005			−2.00677
$971$	−4.60366	−	1.67559i	−0.147738	−	0.0537724i	0.267093	−	0.963671i	$-0.413937\pi$
$971$	−4.60366	−	1.67559i	−0.147738	−	0.0537724i	−0.414831	+	0.909898i	$0.636159\pi$
$972$	−0.253986	−	1.44042i	−0.00814660	−	0.0462016i
$973$	−34.5186	−	28.9645i	−1.10662	−	0.928560i
$974$	19.6302	−	16.4717i	0.628991	−	0.527786i
$975$	20.8010	−	117.968i	0.666164	−	3.77801i
$976$	−1.02849	+	1.78140i	−0.0329213	+	0.0570213i
$977$	16.2270	+	28.1060i	0.519149	+	0.899192i	0.999752	+	0.0222541i	$0.00708428\pi$
$977$	16.2270	+	28.1060i	0.519149	+	0.899192i	−0.480604	+	0.876938i	$0.659582\pi$
$978$	32.6488	−	11.8832i	1.04399	−	0.379983i
$979$	7.95636	−	2.89588i	0.254286	−	0.0925526i
$980$	−3.13668	−	5.43288i	−0.100197	−	0.173547i
$981$	0.132334	−	0.229210i	0.00422511	−	0.00731811i
$982$	0.191468	−	1.08587i	0.00610999	−	0.0346515i
$983$	−23.6165	+	19.8166i	−0.753250	+	0.632051i	−0.936360	−	0.351041i	$-0.885828\pi$
$983$	−23.6165	+	19.8166i	−0.753250	+	0.632051i	0.183111	+	0.983092i	$0.441383\pi$
$984$	0.0658956	+	0.0552929i	0.00210067	+	0.00176267i
$985$	−3.55341	−	20.1524i	−0.113221	−	0.642108i
$986$	−20.9689	−	7.63205i	−0.667786	−	0.243054i
$987$	6.32455			0.201313
$988$	29.2331	−	0.611482i	0.930029	−	0.0194538i
$989$	7.18562			0.228489
$990$	−0.522151	−	0.190047i	−0.0165950	−	0.00604010i
$991$	10.5129	+	59.6218i	0.333954	+	1.89395i	0.437320	+	0.899306i	$0.355928\pi$
$991$	10.5129	+	59.6218i	0.333954	+	1.89395i	−0.103366	+	0.994643i	$0.532961\pi$
$992$	−4.34752	−	3.64801i	−0.138034	−	0.115824i
$993$	8.67658	−	7.28052i	0.275343	−	0.231040i
$994$	−5.68096	+	32.2183i	−0.180189	+	1.02190i
$995$	18.6219	−	32.2541i	0.590354	−	1.02252i
$996$	−4.38618	−	7.59708i	−0.138981	−	0.240723i
$997$	−13.7224	+	4.99455i	−0.434593	+	0.158179i	−0.550047	−	0.835134i	$-0.685390\pi$
$997$	−13.7224	+	4.99455i	−0.434593	+	0.158179i	0.115454	+	0.993313i	$0.463168\pi$
$998$	−18.2477	+	6.64160i	−0.577619	+	0.210236i
$999$	−19.8548	−	34.3896i	−0.628179	−	1.08804i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	418.2.j.a.23.1	✓	24
19.5	even	9	inner	418.2.j.a.309.1	yes	24
19.9	even	9		7942.2.a.bt.1.2		12
19.10	odd	18		7942.2.a.bx.1.11		12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
418.2.j.a.23.1	✓	24	1.1	even	1	trivial
418.2.j.a.309.1	yes	24	19.5	even	9	inner
7942.2.a.bt.1.2		12	19.9	even	9
7942.2.a.bx.1.11		12	19.10	odd	18

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:	\( N \)	\(=\)	\( 418 = 2 \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	418.j (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.939693 + 0.342020i) q^{2} +(-0.293621 - 1.66521i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-3.02184 + 2.53563i) q^{5} +(0.293621 - 1.66521i) q^{6} +(-1.16294 + 2.01427i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.132366 - 0.0481775i) q^{9} +O(q^{10})\)	\(q+(0.939693 + 0.342020i) q^{2} +(-0.293621 - 1.66521i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-3.02184 + 2.53563i) q^{5} +(0.293621 - 1.66521i) q^{6} +(-1.16294 + 2.01427i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.132366 - 0.0481775i) q^{9} +(-3.70684 + 1.34918i) q^{10} +(0.500000 + 0.866025i) q^{11} +(0.845449 - 1.46436i) q^{12} +(-1.16483 + 6.60609i) q^{13} +(-1.78172 + 1.49504i) q^{14} +(5.10963 + 4.28749i) q^{15} +(0.173648 + 0.984808i) q^{16} +(6.72216 + 2.44667i) q^{17} +0.140861 q^{18} +(-3.39697 - 2.73140i) q^{19} -3.94474 q^{20} +(3.69564 + 1.34510i) q^{21} +(0.173648 + 0.984808i) q^{22} +(-2.01149 - 1.68784i) q^{23} +(1.29530 - 1.08689i) q^{24} +(1.83389 - 10.4005i) q^{25} +(-3.35400 + 5.80930i) q^{26} +(-2.65544 - 4.59936i) q^{27} +(-2.18561 + 0.795496i) q^{28} +(-2.93125 + 1.06689i) q^{29} +(3.33507 + 5.77652i) q^{30} +(-2.83765 + 4.91495i) q^{31} +(-0.173648 + 0.984808i) q^{32} +(1.29530 - 1.08689i) q^{33} +(5.47996 + 4.59823i) q^{34} +(-1.59322 - 9.03557i) q^{35} +(0.132366 + 0.0481775i) q^{36} +7.47704 q^{37} +(-2.25792 - 3.72851i) q^{38} +11.3426 q^{39} +(-3.70684 - 1.34918i) q^{40} +(0.00883395 + 0.0500998i) q^{41} +(3.01271 + 2.52797i) q^{42} +(-2.09631 + 1.75901i) q^{43} +(-0.173648 + 0.984808i) q^{44} +(-0.277831 + 0.481217i) q^{45} +(-1.31290 - 2.27402i) q^{46} +(1.51116 - 0.550019i) q^{47} +(1.58893 - 0.578321i) q^{48} +(0.795155 + 1.37725i) q^{49} +(5.28047 - 9.14604i) q^{50} +(2.10044 - 11.9122i) q^{51} +(-5.13863 + 4.31182i) q^{52} +(-4.62983 - 3.88489i) q^{53} +(-0.922224 - 5.23019i) q^{54} +(-3.70684 - 1.34918i) q^{55} -2.32587 q^{56} +(-3.55094 + 6.45868i) q^{57} -3.11937 q^{58} +(-1.79584 - 0.653633i) q^{59} +(1.15826 + 6.56881i) q^{60} +(1.57574 + 1.32221i) q^{61} +(-4.34752 + 3.64801i) q^{62} +(-0.0568917 + 0.322649i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-13.2306 - 22.9162i) q^{65} +(1.58893 - 0.578321i) q^{66} +(4.01443 - 1.46113i) q^{67} +(3.57679 + 6.19518i) q^{68} +(-2.21999 + 3.84513i) q^{69} +(1.59322 - 9.03557i) q^{70} +(10.7750 - 9.04133i) q^{71} +(0.107906 + 0.0905440i) q^{72} +(2.42666 + 13.7623i) q^{73} +(7.02612 + 2.55730i) q^{74} -17.8575 q^{75} +(-0.846522 - 4.27591i) q^{76} -2.32587 q^{77} +(10.6585 + 3.87938i) q^{78} +(0.744613 + 4.22291i) q^{79} +(-3.02184 - 2.53563i) q^{80} +(-6.55548 + 5.50070i) q^{81} +(-0.00883395 + 0.0500998i) q^{82} +(2.59399 - 4.49293i) q^{83} +(1.96641 + 3.40592i) q^{84} +(-26.5172 + 9.65145i) q^{85} +(-2.57150 + 0.935951i) q^{86} +(2.63727 + 4.56788i) q^{87} +(-0.500000 + 0.866025i) q^{88} +(1.47028 - 8.33835i) q^{89} +(-0.425661 + 0.357172i) q^{90} +(-11.9518 - 10.0288i) q^{91} +(-0.455967 - 2.58592i) q^{92} +(9.01761 + 3.28214i) q^{93} +1.60815 q^{94} +(17.1909 - 0.359591i) q^{95} +1.69090 q^{96} +(14.8885 + 5.41898i) q^{97} +(0.276154 + 1.56615i) q^{98} +(0.107906 + 0.0905440i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 12 q^{8}+O(q^{10}) \) 24 * q + 12 * q^8	\( 24 q + 12 q^{8} + 12 q^{11} - 3 q^{12} - 3 q^{13} + 3 q^{14} + 27 q^{15} - 6 q^{18} - 21 q^{19} - 18 q^{20} + 15 q^{21} + 9 q^{23} + 36 q^{25} - 21 q^{27} - 3 q^{28} - 9 q^{30} - 27 q^{31} - 9 q^{34} - 45 q^{35} + 18 q^{37} + 9 q^{38} + 36 q^{39} - 18 q^{41} + 39 q^{42} - 48 q^{43} + 36 q^{45} - 18 q^{46} - 9 q^{47} + 6 q^{49} + 3 q^{50} - 18 q^{51} - 3 q^{52} - 36 q^{53} - 45 q^{54} + 18 q^{58} + 9 q^{59} - 9 q^{60} + 15 q^{61} - 33 q^{62} + 87 q^{63} - 12 q^{64} - 36 q^{65} + 33 q^{67} + 9 q^{68} - 18 q^{69} + 45 q^{70} - 9 q^{71} - 3 q^{73} + 3 q^{74} + 42 q^{75} + 9 q^{76} + 12 q^{78} + 15 q^{79} - 108 q^{81} + 18 q^{82} + 36 q^{83} - 9 q^{84} - 99 q^{85} - 33 q^{86} + 63 q^{87} - 12 q^{88} - 27 q^{89} - 36 q^{90} - 21 q^{91} - 9 q^{92} - 21 q^{93} + 54 q^{94} + 18 q^{95} - 6 q^{96} + 45 q^{97} + 39 q^{98}+O(q^{100}) \) 24 * q + 12 * q^8 + 12 * q^11 - 3 * q^12 - 3 * q^13 + 3 * q^14 + 27 * q^15 - 6 * q^18 - 21 * q^19 - 18 * q^20 + 15 * q^21 + 9 * q^23 + 36 * q^25 - 21 * q^27 - 3 * q^28 - 9 * q^30 - 27 * q^31 - 9 * q^34 - 45 * q^35 + 18 * q^37 + 9 * q^38 + 36 * q^39 - 18 * q^41 + 39 * q^42 - 48 * q^43 + 36 * q^45 - 18 * q^46 - 9 * q^47 + 6 * q^49 + 3 * q^50 - 18 * q^51 - 3 * q^52 - 36 * q^53 - 45 * q^54 + 18 * q^58 + 9 * q^59 - 9 * q^60 + 15 * q^61 - 33 * q^62 + 87 * q^63 - 12 * q^64 - 36 * q^65 + 33 * q^67 + 9 * q^68 - 18 * q^69 + 45 * q^70 - 9 * q^71 - 3 * q^73 + 3 * q^74 + 42 * q^75 + 9 * q^76 + 12 * q^78 + 15 * q^79 - 108 * q^81 + 18 * q^82 + 36 * q^83 - 9 * q^84 - 99 * q^85 - 33 * q^86 + 63 * q^87 - 12 * q^88 - 27 * q^89 - 36 * q^90 - 21 * q^91 - 9 * q^92 - 21 * q^93 + 54 * q^94 + 18 * q^95 - 6 * q^96 + 45 * q^97 + 39 * q^98

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