LMFDB - Embedded newform 252.2.n.b.31.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(31,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 2, 1]))

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

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

chi := DirichletCharacter("252.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.n (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$42$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			31.19
Character	$\chi$	$=$	252.31
Dual form			252.2.n.b.187.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.121544 - 1.40898i) q^{2} +(1.71229 - 0.260902i) q^{3} +(-1.97045 + 0.342507i) q^{4} -2.56839i q^{5} +(-0.575725 - 2.38087i) q^{6} +(-0.477445 - 2.60232i) q^{7} +(0.722083 + 2.73470i) q^{8} +(2.86386 - 0.893480i) q^{9} +O(q^{10})$	\(q+(-0.121544 - 1.40898i) q^{2} +(1.71229 - 0.260902i) q^{3} +(-1.97045 + 0.342507i) q^{4} -2.56839i q^{5} +(-0.575725 - 2.38087i) q^{6} +(-0.477445 - 2.60232i) q^{7} +(0.722083 + 2.73470i) q^{8} +(2.86386 - 0.893480i) q^{9} +(-3.61882 + 0.312174i) q^{10} +5.57071i q^{11} +(-3.28462 + 1.10057i) q^{12} +(-3.36591 - 1.94331i) q^{13} +(-3.60858 + 0.989007i) q^{14} +(-0.670100 - 4.39783i) q^{15} +(3.76538 - 1.34979i) q^{16} +(2.65106 + 1.53059i) q^{17} +(-1.60698 - 3.92653i) q^{18} +(-1.51774 - 2.62880i) q^{19} +(0.879693 + 5.06090i) q^{20} +(-1.49647 - 4.33135i) q^{21} +(7.84902 - 0.677087i) q^{22} -4.50405i q^{23} +(1.94990 + 4.49420i) q^{24} -1.59665 q^{25} +(-2.32898 + 4.97869i) q^{26} +(4.67064 - 2.27708i) q^{27} +(1.83209 + 4.96421i) q^{28} +(2.91327 + 5.04593i) q^{29} +(-6.11501 + 1.47869i) q^{30} +(0.356172 + 0.616907i) q^{31} +(-2.35949 - 5.14129i) q^{32} +(1.45341 + 9.53865i) q^{33} +(1.83435 - 3.92132i) q^{34} +(-6.68377 + 1.22627i) q^{35} +(-5.33708 + 2.74145i) q^{36} +(3.16687 + 5.48519i) q^{37} +(-3.51946 + 2.45798i) q^{38} +(-6.27041 - 2.44933i) q^{39} +(7.02379 - 1.85459i) q^{40} +(5.66744 + 3.27210i) q^{41} +(-5.92090 + 2.63495i) q^{42} +(0.877494 - 0.506621i) q^{43} +(-1.90801 - 10.9768i) q^{44} +(-2.29481 - 7.35552i) q^{45} +(-6.34613 + 0.547442i) q^{46} +(-0.187159 + 0.324169i) q^{47} +(6.09525 - 3.29362i) q^{48} +(-6.54409 + 2.48493i) q^{49} +(0.194064 + 2.24965i) q^{50} +(4.93870 + 1.92914i) q^{51} +(7.29796 + 2.67635i) q^{52} +(-2.00394 + 3.47093i) q^{53} +(-3.77606 - 6.30408i) q^{54} +14.3078 q^{55} +(6.77180 - 3.18476i) q^{56} +(-3.28467 - 4.10529i) q^{57} +(6.75552 - 4.71804i) q^{58} +(3.15646 + 5.46715i) q^{59} +(2.82669 + 8.43621i) q^{60} +(7.97384 + 4.60370i) q^{61} +(0.825920 - 0.576821i) q^{62} +(-3.69245 - 7.02608i) q^{63} +(-6.95719 + 3.94936i) q^{64} +(-4.99118 + 8.64497i) q^{65} +(13.2631 - 3.20720i) q^{66} +(5.49521 - 3.17266i) q^{67} +(-5.74802 - 2.10795i) q^{68} +(-1.17512 - 7.71224i) q^{69} +(2.54016 + 9.26826i) q^{70} +12.0334i q^{71} +(4.51135 + 7.18664i) q^{72} +(-13.8670 - 8.00612i) q^{73} +(7.34361 - 5.12876i) q^{74} +(-2.73393 + 0.416570i) q^{75} +(3.89102 + 4.66010i) q^{76} +(14.4967 - 2.65971i) q^{77} +(-2.68892 + 9.13259i) q^{78} +(-6.01102 - 3.47047i) q^{79} +(-3.46679 - 9.67098i) q^{80} +(7.40339 - 5.11760i) q^{81} +(3.92148 - 8.38302i) q^{82} +(-4.89941 - 8.48603i) q^{83} +(4.43225 + 8.02217i) q^{84} +(3.93115 - 6.80896i) q^{85} +(-0.820474 - 1.17479i) q^{86} +(6.30484 + 7.88000i) q^{87} +(-15.2342 + 4.02251i) q^{88} +(2.02208 - 1.16745i) q^{89} +(-10.0849 + 4.12736i) q^{90} +(-3.45006 + 9.68697i) q^{91} +(1.54267 + 8.87503i) q^{92} +(0.770821 + 0.963397i) q^{93} +(0.479496 + 0.224303i) q^{94} +(-6.75180 + 3.89816i) q^{95} +(-5.38149 - 8.18777i) q^{96} +(3.10755 - 1.79414i) q^{97} +(4.29661 + 8.91847i) q^{98} +(4.97732 + 15.9537i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{6}\right)$	$-1$

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 $

$2$	−0.121544	−	1.40898i	−0.0859448	−	0.996300i
$2$	−0.121544	−	1.40898i	−0.0859448	−	0.996300i
$3$	1.71229	−	0.260902i	0.988590	−	0.150632i
$3$	1.71229	−	0.260902i	0.988590	−	0.150632i
$4$	−1.97045	+	0.342507i	−0.985227	+	0.171253i
$5$		−	2.56839i		−	1.14862i	−0.818638	−	0.574310i	$-0.805270\pi$
$5$		−	2.56839i		−	1.14862i	0.818638	−	0.574310i	$-0.194730\pi$
$6$	−0.575725	−	2.38087i	−0.235039	−	0.971986i
$7$	−0.477445	−	2.60232i	−0.180457	−	0.983583i
$7$	−0.477445	−	2.60232i	−0.180457	−	0.983583i
$8$	0.722083	+	2.73470i	0.255295	+	0.966863i
$9$	2.86386	−	0.893480i	0.954620	−	0.297827i
$10$	−3.61882	+	0.312174i	−1.14437	+	0.0987179i
$11$			5.57071i			1.67963i	0.542872	+	0.839816i	$0.317337\pi$
$11$			5.57071i			1.67963i	−0.542872	+	0.839816i	$0.682663\pi$
$12$	−3.28462	+	1.10057i	−0.948189	+	0.317706i
$13$	−3.36591	−	1.94331i	−0.933534	−	0.538976i	−0.0456066	−	0.998959i	$-0.514522\pi$
$13$	−3.36591	−	1.94331i	−0.933534	−	0.538976i	−0.887928	+	0.459983i	$0.847855\pi$
$14$	−3.60858	+	0.989007i	−0.964434	+	0.264323i
$15$	−0.670100	−	4.39783i	−0.173019	−	1.13552i
$16$	3.76538	−	1.34979i	0.941344	−	0.337447i
$17$	2.65106	+	1.53059i	0.642975	+	0.371222i	0.785760	−	0.618532i	$-0.212272\pi$
$17$	2.65106	+	1.53059i	0.642975	+	0.371222i	−0.142784	+	0.989754i	$0.545606\pi$
$18$	−1.60698	−	3.92653i	−0.378769	−	0.925491i
$19$	−1.51774	−	2.62880i	−0.348193	−	0.603089i	0.637735	−	0.770256i	$-0.279871\pi$
$19$	−1.51774	−	2.62880i	−0.348193	−	0.603089i	−0.985929	+	0.167167i	$0.946538\pi$
$20$	0.879693	+	5.06090i	0.196705	+	1.13165i
$21$	−1.49647	−	4.33135i	−0.326557	−	0.945177i
$22$	7.84902	−	0.677087i	1.67342	−	0.144356i
$23$		−	4.50405i		−	0.939160i	−0.882890	−	0.469580i	$-0.844405\pi$
$23$		−	4.50405i		−	0.939160i	0.882890	−	0.469580i	$-0.155595\pi$
$24$	1.94990	+	4.49420i	0.398023	+	0.917376i
$25$	−1.59665			−0.319330
$26$	−2.32898	+	4.97869i	−0.456750	+	0.976402i
$27$	4.67064	−	2.27708i	0.898865	−	0.438225i
$28$	1.83209	+	4.96421i	0.346233	+	0.938148i
$29$	2.91327	+	5.04593i	0.540980	+	0.937005i	0.998848	+	0.0479847i	$0.0152799\pi$
$29$	2.91327	+	5.04593i	0.540980	+	0.937005i	−0.457868	+	0.889020i	$0.651387\pi$
$30$	−6.11501	+	1.47869i	−1.11644	+	0.269971i
$31$	0.356172	+	0.616907i	0.0639703	+	0.110800i	0.896237	−	0.443576i	$-0.146290\pi$
$31$	0.356172	+	0.616907i	0.0639703	+	0.110800i	−0.832266	+	0.554376i	$0.812957\pi$
$32$	−2.35949	−	5.14129i	−0.417102	−	0.908860i
$33$	1.45341	+	9.53865i	0.253006	+	1.66047i
$34$	1.83435	−	3.92132i	0.314588	−	0.672501i
$35$	−6.68377	+	1.22627i	−1.12976	+	0.207277i
$36$	−5.33708	+	2.74145i	−0.889513	+	0.456909i
$37$	3.16687	+	5.48519i	0.520631	+	0.901759i	0.999712	+	0.0239888i	$0.00763660\pi$
$37$	3.16687	+	5.48519i	0.520631	+	0.901759i	−0.479081	+	0.877771i	$0.659030\pi$
$38$	−3.51946	+	2.45798i	−0.570932	+	0.398737i
$39$	−6.27041	−	2.44933i	−1.00407	−	0.392206i
$40$	7.02379	−	1.85459i	1.11056	−	0.293237i
$41$	5.66744	+	3.27210i	0.885105	+	0.511016i	0.872338	−	0.488903i	$-0.162603\pi$
$41$	5.66744	+	3.27210i	0.885105	+	0.511016i	0.0127671	+	0.999918i	$0.495936\pi$
$42$	−5.92090	+	2.63495i	−0.913614	+	0.406582i
$43$	0.877494	−	0.506621i	0.133817	−	0.0772590i	−0.431597	−	0.902066i	$-0.642050\pi$
$43$	0.877494	−	0.506621i	0.133817	−	0.0772590i	0.565414	+	0.824807i	$0.308716\pi$
$44$	−1.90801	−	10.9768i	−0.287643	−	1.65482i
$45$	−2.29481	−	7.35552i	−0.342090	−	1.09650i
$46$	−6.34613	+	0.547442i	−0.935685	+	0.0807159i
$47$	−0.187159	+	0.324169i	−0.0272999	+	0.0472849i	−0.879353	−	0.476171i	$-0.842024\pi$
$47$	−0.187159	+	0.324169i	−0.0272999	+	0.0472849i	0.852053	+	0.523456i	$0.175358\pi$
$48$	6.09525	−	3.29362i	0.879773	−	0.475394i
$49$	−6.54409	+	2.48493i	−0.934870	+	0.354989i
$50$	0.194064	+	2.24965i	0.0274447	+	0.318149i
$51$	4.93870	+	1.92914i	0.691557	+	0.270134i
$52$	7.29796	+	2.67635i	1.01204	+	0.371143i
$53$	−2.00394	+	3.47093i	−0.275263	+	0.476769i	−0.970201	−	0.242300i	$-0.922098\pi$
$53$	−2.00394	+	3.47093i	−0.275263	+	0.476769i	0.694939	+	0.719069i	$0.255431\pi$
$54$	−3.77606	−	6.30408i	−0.513856	−	0.857876i
$55$	14.3078			1.92926
$56$	6.77180	−	3.18476i	0.904920	−	0.425581i
$57$	−3.28467	−	4.10529i	−0.435065	−	0.543758i
$58$	6.75552	−	4.71804i	0.887043	−	0.619509i
$59$	3.15646	+	5.46715i	0.410936	+	0.711762i	0.994992	−	0.0999513i	$-0.0318687\pi$
$59$	3.15646	+	5.46715i	0.410936	+	0.711762i	−0.584056	+	0.811713i	$0.698535\pi$
$60$	2.82669	+	8.43621i	0.364924	+	1.08911i
$61$	7.97384	+	4.60370i	1.02095	+	0.589443i	0.914378	−	0.404862i	$-0.132681\pi$
$61$	7.97384	+	4.60370i	1.02095	+	0.589443i	0.106568	+	0.994305i	$0.466014\pi$
$62$	0.825920	−	0.576821i	0.104892	−	0.0732563i
$63$	−3.69245	−	7.02608i	−0.465205	−	0.885203i
$64$	−6.95719	+	3.94936i	−0.869649	+	0.493671i
$65$	−4.99118	+	8.64497i	−0.619079	+	1.07228i
$66$	13.2631	−	3.20720i	1.63258	−	0.394779i
$67$	5.49521	−	3.17266i	0.671347	−	0.387602i	−0.125240	−	0.992126i	$-0.539970\pi$
$67$	5.49521	−	3.17266i	0.671347	−	0.387602i	0.796587	+	0.604524i	$0.206637\pi$
$68$	−5.74802	−	2.10795i	−0.697050	−	0.255626i
$69$	−1.17512	−	7.71224i	−0.141468	−	0.928444i
$70$	2.54016	+	9.26826i	0.303607	+	1.10777i
$71$			12.0334i			1.42810i	0.700092	+	0.714052i	$0.253142\pi$
$71$			12.0334i			1.42810i	−0.700092	+	0.714052i	$0.746858\pi$
$72$	4.51135	+	7.18664i	0.531667	+	0.846953i
$73$	−13.8670	−	8.00612i	−1.62301	−	0.937046i	−0.986109	−	0.166101i	$-0.946882\pi$
$73$	−13.8670	−	8.00612i	−1.62301	−	0.937046i	−0.636902	−	0.770944i	$-0.719785\pi$
$74$	7.34361	−	5.12876i	0.853677	−	0.596206i
$75$	−2.73393	+	0.416570i	−0.315687	+	0.0481014i
$76$	3.89102	+	4.66010i	0.446331	+	0.534550i
$77$	14.4967	−	2.65971i	1.65206	−	0.303102i
$78$	−2.68892	+	9.13259i	−0.304461	+	1.03406i
$79$	−6.01102	−	3.47047i	−0.676293	−	0.390458i	0.122164	−	0.992510i	$-0.461017\pi$
$79$	−6.01102	−	3.47047i	−0.676293	−	0.390458i	−0.798457	+	0.602052i	$0.794350\pi$
$80$	−3.46679	−	9.67098i	−0.387599	−	1.08125i
$81$	7.40339	−	5.11760i	0.822598	−	0.568623i
$82$	3.92148	−	8.38302i	0.433055	−	0.925750i
$83$	−4.89941	−	8.48603i	−0.537780	−	0.931463i	−0.999023	−	0.0441890i	$-0.985930\pi$
$83$	−4.89941	−	8.48603i	−0.537780	−	0.931463i	0.461243	−	0.887274i	$-0.347404\pi$
$84$	4.43225	+	8.02217i	0.483598	+	0.875290i
$85$	3.93115	−	6.80896i	0.426393	−	0.738535i
$86$	−0.820474	−	1.17479i	−0.0884740	−	0.126681i
$87$	6.30484	+	7.88000i	0.675950	+	0.844825i
$88$	−15.2342	+	4.02251i	−1.62397	+	0.428801i
$89$	2.02208	−	1.16745i	0.214340	−	0.123749i	−0.388987	−	0.921243i	$-0.627175\pi$
$89$	2.02208	−	1.16745i	0.214340	−	0.123749i	0.603327	+	0.797494i	$0.293841\pi$
$90$	−10.0849	+	4.12736i	−1.06304	+	0.435062i
$91$	−3.45006	+	9.68697i	−0.361665	+	1.01547i
$92$	1.54267	+	8.87503i	0.160834	+	0.925286i
$93$	0.770821	+	0.963397i	0.0799304	+	0.0998996i
$94$	0.479496	+	0.224303i	0.0494562	+	0.0231350i
$95$	−6.75180	+	3.89816i	−0.692720	+	0.399942i
$96$	−5.38149	−	8.18777i	−0.549246	−	0.835660i
$97$	3.10755	−	1.79414i	0.315524	−	0.182168i	−0.333872	−	0.942618i	$-0.608355\pi$
$97$	3.10755	−	1.79414i	0.315524	−	0.182168i	0.649396	+	0.760451i	$0.275022\pi$
$98$	4.29661	+	8.91847i	0.434023	+	0.900902i
$99$	4.97732	+	15.9537i	0.500239	+	1.60341i
$100$	3.14613	−	0.546864i	0.314613	−	0.0546864i
$101$		−	4.78132i		−	0.475759i	−0.971295	−	0.237879i	$-0.923548\pi$
$101$		−	4.78132i		−	0.475759i	0.971295	−	0.237879i	$-0.0764523\pi$
$102$	2.11785	−	7.19302i	0.209698	−	0.712215i
$103$	−7.98262			−0.786551			−0.393275	−	0.919421i	$-0.628658\pi$
$103$	−7.98262			−0.786551			−0.393275	+	0.919421i	$0.628658\pi$
$104$	2.88390	−	10.6080i	0.282790	−	1.04020i
$105$	−11.1246	+	3.84354i	−1.08565	+	0.375091i
$106$	5.13404	+	2.40164i	0.498662	+	0.233268i
$107$	−8.26726	+	4.77310i	−0.799226	+	0.461433i	−0.843201	−	0.537599i	$-0.819331\pi$
$107$	−8.26726	+	4.77310i	−0.799226	+	0.461433i	0.0439743	+	0.999033i	$0.485998\pi$
$108$	−8.42337	+	6.08662i	−0.810539	+	0.585685i
$109$	−6.07838	+	10.5281i	−0.582203	+	1.00841i	0.413014	+	0.910725i	$0.364476\pi$
$109$	−6.07838	+	10.5281i	−0.582203	+	1.00841i	−0.995218	+	0.0976814i	$0.968857\pi$
$110$	−1.73903	−	20.1594i	−0.165810	−	1.92212i
$111$	6.85370	+	8.56598i	0.650524	+	0.813046i
$112$	−5.31034	−	9.15425i	−0.501780	−	0.864995i
$113$	2.22557	−	3.85479i	0.209364	−	0.362628i	−0.742151	−	0.670233i	$-0.766194\pi$
$113$	2.22557	−	3.85479i	0.209364	−	0.362628i	0.951514	+	0.307605i	$0.0995274\pi$
$114$	−5.38504	+	5.12701i	−0.504355	+	0.480188i
$115$	−11.5682			−1.07874
$116$	−7.46872	−	8.94495i	−0.693453	−	0.830518i
$117$	−11.3758	−	2.55799i	−1.05169	−	0.236486i
$118$	7.31945	−	5.11189i	0.673810	−	0.470588i
$119$	2.71734	−	7.62965i	0.249098	−	0.699409i
$120$	11.5429	−	5.00812i	1.05372	−	0.457177i
$121$	−20.0328			−1.82116
$122$	5.51735	−	11.7945i	0.499517	−	1.06783i
$123$	10.5580	+	4.12412i	0.951982	+	0.371860i
$124$	−0.913115	−	1.09360i	−0.0820002	−	0.0982079i
$125$		−	8.74114i		−	0.781832i
$126$	−9.45081	+	6.05658i	−0.841945	+	0.539563i
$127$		−	11.0210i		−	0.977951i	−0.872297	−	0.488976i	$-0.837371\pi$
$127$		−	11.0210i		−	0.977951i	0.872297	−	0.488976i	$-0.162629\pi$
$128$	6.41019	+	9.32253i	0.566586	+	0.824003i
$129$	1.37034	−	1.09642i	0.120652	−	0.0965345i
$130$	12.7873	+	5.98173i	1.12152	+	0.524632i
$131$	2.27529			0.198793			0.0993966	−	0.995048i	$-0.468309\pi$
$131$	2.27529			0.198793			0.0993966	+	0.995048i	$0.468309\pi$
$132$	−6.13094	−	18.2977i	−0.533629	−	1.59261i
$133$	−6.11634	+	5.20475i	−0.530354	+	0.451309i
$134$	−5.13813	−	7.35703i	−0.443867	−	0.635550i
$135$	−5.84845	−	11.9961i	−0.503354	−	1.03246i
$136$	−2.27142	+	8.35506i	−0.194773	+	0.716440i
$137$	−9.10189			−0.777627			−0.388813	−	0.921317i	$-0.627115\pi$
$137$	−9.10189			−0.777627			−0.388813	+	0.921317i	$0.627115\pi$
$138$	−10.7236	+	2.59310i	−0.912851	+	0.220739i
$139$	−5.95136	+	10.3081i	−0.504788	+	0.874318i	0.495197	+	0.868781i	$0.335096\pi$
$139$	−5.95136	+	10.3081i	−0.504788	+	0.874318i	−0.999985	+	0.00553705i	$0.998237\pi$
$140$	12.7501	−	4.70554i	1.07758	−	0.397691i
$141$	−0.235894	+	0.603901i	−0.0198658	+	0.0508576i
$142$	16.9549	−	1.46259i	1.42282	−	0.122738i
$143$	10.8256	−	18.7505i	0.905281	−	1.56799i
$144$	9.57751	−	7.22990i	0.798125	−	0.602491i
$145$	12.9599	−	7.48242i	1.07626	−	0.621381i
$146$	−9.59502	+	20.5115i	−0.794089	+	1.69754i
$147$	−10.5570	+	5.96228i	−0.870731	+	0.491760i
$148$	−8.11890	−	9.72363i	−0.667369	−	0.799278i
$149$	−22.5523			−1.84756			−0.923778	−	0.382928i	$-0.874916\pi$
$149$	−22.5523			−1.84756			−0.923778	+	0.382928i	$0.874916\pi$
$150$	0.919232	+	3.80142i	0.0750550	+	0.310384i
$151$		−	5.97285i		−	0.486063i	−0.970018	−	0.243032i	$-0.921858\pi$
$151$		−	5.97285i		−	0.486063i	0.970018	−	0.243032i	$-0.0781419\pi$
$152$	6.09306	−	6.04878i	0.494212	−	0.490621i
$153$	8.95980	+	2.01472i	0.724357	+	0.162881i
$154$	−5.50947	−	20.1024i	−0.443966	−	1.61989i
$155$	1.58446	−	0.914789i	0.127267	−	0.0734777i
$156$	13.1945	+	2.67863i	1.05640	+	0.214462i
$157$	0.992201	−	0.572847i	0.0791862	−	0.0457182i	−0.459884	−	0.887979i	$-0.652109\pi$
$157$	0.992201	−	0.572847i	0.0791862	−	0.0457182i	0.539070	+	0.842261i	$0.318776\pi$
$158$	−4.15922	+	8.89123i	−0.330889	+	0.707349i
$159$	−2.52575	+	6.46606i	−0.200305	+	0.512792i
$160$	−13.2049	+	6.06009i	−1.04394	+	0.479092i
$161$	−11.7210	+	2.15044i	−0.923742	+	0.169478i
$162$	−8.11044	−	9.80921i	−0.637217	−	0.770685i
$163$	−2.38087	+	1.37460i	−0.186484	+	0.107667i	−0.590336	−	0.807158i	$-0.701005\pi$
$163$	−2.38087	+	1.37460i	−0.186484	+	0.107667i	0.403852	+	0.914825i	$0.367671\pi$
$164$	−12.2881	−	4.50638i	−0.959543	−	0.351889i
$165$	24.4990	−	3.73293i	1.90725	−	0.290608i
$166$	−11.3612	+	7.93461i	−0.881797	+	0.615845i
$167$	−4.44178	+	7.69338i	−0.343715	+	0.595332i	−0.985119	−	0.171871i	$-0.945019\pi$
$167$	−4.44178	+	7.69338i	−0.343715	+	0.595332i	0.641404	+	0.767203i	$0.278352\pi$
$168$	10.7644	−	7.22000i	0.830489	−	0.557035i
$169$	1.05288	+	1.82364i	0.0809908	+	0.140280i
$170$	−10.0715	−	4.71133i	−0.772449	−	0.361342i
$171$	−6.69538	−	6.17245i	−0.512008	−	0.472019i
$172$	−1.55554	+	1.29882i	−0.118609	+	0.0990342i
$173$	9.46332	+	5.46365i	0.719483	+	0.415394i	0.814562	−	0.580076i	$-0.196977\pi$
$173$	9.46332	+	5.46365i	0.719483	+	0.415394i	−0.0950793	+	0.995470i	$0.530310\pi$
$174$	10.3364	−	9.84117i	0.783604	−	0.746057i
$175$	0.762313	+	4.15499i	0.0576255	+	0.314088i
$176$	7.51928	+	20.9758i	0.566787	+	1.58111i
$177$	6.83116	+	8.53780i	0.513461	+	0.641740i
$178$	−1.89068	−	2.70718i	−0.141713	−	0.202911i
$179$	10.2820	+	5.93630i	0.768511	+	0.443700i	0.832343	−	0.554261i	$-0.186999\pi$
$179$	10.2820	+	5.93630i	0.768511	+	0.443700i	−0.0638324	+	0.997961i	$0.520332\pi$
$180$	7.04113	+	13.7077i	0.524815	+	1.02171i
$181$			19.2790i			1.43300i	0.697589	+	0.716498i	$0.254256\pi$
$181$			19.2790i			1.43300i	−0.697589	+	0.716498i	$0.745744\pi$
$182$	14.0681	+	3.68368i	1.04280	+	0.273052i
$183$	14.8546	+	5.80246i	1.09809	+	0.428930i
$184$	12.3172	−	3.25230i	0.908039	−	0.239763i
$185$	14.0881	−	8.13378i	1.03578	−	0.598008i
$186$	1.26372	−	1.20317i	0.0926604	−	0.0882205i
$187$	−8.52646	+	14.7683i	−0.623516	+	1.07996i
$188$	0.257758	−	0.702863i	0.0187989	−	0.0512616i
$189$	−8.15566	−	11.0673i	−0.593237	−	0.805028i
$190$	6.31307	+	9.03936i	0.457998	+	0.655784i
$191$	16.6644	+	9.62118i	1.20579	+	0.696164i	0.961837	−	0.273622i	$-0.0882217\pi$
$191$	16.6644	+	9.62118i	1.20579	+	0.696164i	0.243955	+	0.969787i	$0.421555\pi$
$192$	−10.8823	+	8.57760i	−0.785364	+	0.619035i
$193$	5.29326	+	9.16820i	0.381017	+	0.659941i	0.991208	−	0.132313i	$-0.0422405\pi$
$193$	5.29326	+	9.16820i	0.381017	+	0.659941i	−0.610191	+	0.792255i	$0.708907\pi$
$194$	−2.90562	−	4.16041i	−0.208611	−	0.298700i
$195$	−6.29084	+	16.1049i	−0.450496	+	1.15330i
$196$	12.0437	−	7.13783i	0.860266	−	0.509845i
$197$	−20.7335			−1.47720			−0.738600	−	0.674144i	$-0.764513\pi$
$197$	−20.7335			−1.47720			−0.738600	+	0.674144i	$0.764513\pi$
$198$	21.8735	−	8.95203i	1.55448	−	0.636193i
$199$	8.54532	−	14.8009i	0.605762	−	1.04921i	−0.386169	−	0.922428i	$-0.626202\pi$
$199$	8.54532	−	14.8009i	0.605762	−	1.04921i	0.991931	−	0.126782i	$-0.0404648\pi$
$200$	−1.15291	−	4.36636i	−0.0815234	−	0.308749i
$201$	8.58163	−	6.86622i	0.605301	−	0.484306i
$202$	−6.73678	+	0.581142i	−0.473998	+	0.0408890i
$203$	11.7402	−	9.99039i	0.823998	−	0.701188i
$204$	−10.3922	−	2.10974i	−0.727602	−	0.147711i
$205$	8.40404	−	14.5562i	0.586964	−	1.01665i
$206$	0.970241	+	11.2474i	0.0675999	+	0.783640i
$207$	−4.02428	−	12.8990i	−0.279707	−	0.896541i
$208$	−15.2970	−	2.77402i	−1.06065	−	0.192344i
$209$	14.6443	−	8.45489i	1.01297	−	0.584837i
$210$	6.76760	+	15.2072i	0.467009	+	1.04940i
$211$	−15.2397	−	8.79863i	−1.04914	−	0.605723i	−0.126734	−	0.991937i	$-0.540449\pi$
$211$	−15.2397	−	8.79863i	−1.04914	−	0.605723i	−0.922409	+	0.386214i	$0.873783\pi$
$212$	2.75986	−	7.52567i	0.189548	−	0.516865i
$213$	3.13955	+	20.6047i	0.215118	+	1.41181i
$214$	7.73005	+	11.0683i	0.528415	+	0.756611i
$215$	−1.30120	−	2.25375i	−0.0887413	−	0.153704i
$216$	9.59974	+	11.1286i	0.653179	+	0.757203i
$217$	1.43534	−	1.22141i	0.0974369	−	0.0829148i
$218$	15.5726	+	7.28470i	1.05471	+	0.493382i
$219$	−25.8331	−	10.0909i	−1.74564	−	0.681877i
$220$	−28.1928	+	4.90051i	−1.90076	+	0.330393i
$221$	−5.94880	−	10.3036i	−0.400160	−	0.693097i
$222$	11.2363	−	10.6979i	0.754129	−	0.717995i
$223$	−6.65202	−	11.5216i	−0.445452	−	0.771546i	0.552631	−	0.833426i	$-0.313624\pi$
$223$	−6.65202	−	11.5216i	−0.445452	−	0.771546i	−0.998084	+	0.0618796i	$0.980291\pi$
$224$	−12.2527	+	8.59481i	−0.818670	+	0.574265i
$225$	−4.57258	+	1.42658i	−0.304839	+	0.0951050i
$226$	−5.70183	−	2.66725i	−0.379280	−	0.177423i
$227$	0.929032			0.0616620			0.0308310	−	0.999525i	$-0.490185\pi$
$227$	0.929032			0.0616620			0.0308310	+	0.999525i	$0.490185\pi$
$228$	7.87838	+	6.96425i	0.521758	+	0.461219i
$229$			3.96728i			0.262165i	0.991371	+	0.131083i	$0.0418453\pi$
$229$			3.96728i			0.262165i	−0.991371	+	0.131083i	$0.958155\pi$
$230$	1.40605	+	16.2994i	0.0927120	+	1.07475i
$231$	24.1287	−	8.33642i	1.58755	−	0.548496i
$232$	−11.6955	+	11.6105i	−0.767846	+	0.762266i
$233$	11.9029	+	20.6164i	0.779785	+	1.35063i	0.932065	+	0.362290i	$0.118005\pi$
$233$	11.9029	+	20.6164i	0.779785	+	1.35063i	−0.152280	+	0.988337i	$0.548662\pi$
$234$	−2.22149	+	16.3392i	−0.145224	+	1.06813i
$235$	0.832593	+	0.480698i	0.0543124	+	0.0313573i
$236$	−8.09219	−	9.69165i	−0.526757	−	0.630873i
$237$	−11.1981	−	4.37415i	−0.727392	−	0.284131i
$238$	−11.0803	−	2.90134i	−0.718230	−	0.188066i
$239$	−6.99639	−	4.03937i	−0.452559	−	0.261285i	0.256351	−	0.966584i	$-0.417480\pi$
$239$	−6.99639	−	4.03937i	−0.452559	−	0.261285i	−0.708910	+	0.705299i	$0.750813\pi$
$240$	−8.45932	−	15.6550i	−0.546047	−	1.01053i
$241$		−	20.2600i		−	1.30506i	−0.757762	−	0.652531i	$-0.773707\pi$
$241$		−	20.2600i		−	1.30506i	0.757762	−	0.652531i	$-0.226293\pi$
$242$	2.43487	+	28.2258i	0.156519	+	1.81442i
$243$	11.3415	−	10.6944i	0.727560	−	0.686044i
$244$	−17.2889	−	6.34028i	−1.10681	−	0.405895i
$245$	6.38227	+	16.8078i	0.407748	+	1.07381i
$246$	4.52755	−	15.3773i	0.288666	−	0.980419i
$247$			11.7977i			0.750672i
$248$	−1.42987	+	1.41948i	−0.0907970	+	0.0901372i
$249$	−10.6032	−	13.2523i	−0.671952	−	0.839828i
$250$	−12.3161	+	1.06244i	−0.778939	+	0.0671943i
$251$	−1.78038			−0.112376			−0.0561881	−	0.998420i	$-0.517895\pi$
$251$	−1.78038			−0.112376			−0.0561881	+	0.998420i	$0.517895\pi$
$252$	9.68229	+	12.5799i	0.609927	+	0.792458i
$253$	25.0908			1.57744
$254$	−15.5283	+	1.33953i	−0.974333	+	0.0840498i
$255$	4.95479	−	12.6845i	0.310281	−	0.794337i
$256$	12.3561	−	10.1649i	0.772259	−	0.635308i
$257$			11.5433i			0.720051i	0.932943	+	0.360025i	$0.117232\pi$
$257$			11.5433i			0.720051i	−0.932943	+	0.360025i	$0.882768\pi$
$258$	−1.71139	−	1.79752i	−0.106547	−	0.111909i
$259$	12.7622	−	10.8601i	0.793003	−	0.674813i
$260$	6.87392	−	18.7440i	0.426303	−	1.16246i
$261$	12.8516	+	11.8479i	0.795495	+	0.733365i
$262$	−0.276549	−	3.20584i	−0.0170852	−	0.198058i
$263$		−	13.7086i		−	0.845308i	−0.906291	−	0.422654i	$-0.861098\pi$
$263$		−	13.7086i		−	0.845308i	0.906291	−	0.422654i	$-0.138902\pi$
$264$	−25.0359	+	10.8623i	−1.54085	+	0.668531i
$265$	8.91471	+	5.14691i	0.547626	+	0.316172i
$266$	8.07680	+	7.98520i	0.495220	+	0.489604i
$267$	3.15779	−	2.52657i	0.193254	−	0.154624i
$268$	−9.74140	+	8.13373i	−0.595051	+	0.496847i
$269$	0.384540	+	0.222014i	0.0234458	+	0.0135364i	0.511677	−	0.859178i	$-0.329024\pi$
$269$	0.384540	+	0.222014i	0.0234458	+	0.0135364i	−0.488231	+	0.872714i	$0.662358\pi$
$270$	−16.1914	+	9.69840i	−0.985375	+	0.590226i
$271$	1.81389	+	3.14175i	0.110186	+	0.190848i	0.915845	−	0.401532i	$-0.131522\pi$
$271$	1.81389	+	3.14175i	0.110186	+	0.190848i	−0.805659	+	0.592379i	$0.798189\pi$
$272$	12.0482	+	2.18488i	0.730529	+	0.132478i
$273$	−3.38014	+	17.4870i	−0.204576	+	1.05836i
$274$	1.10628	+	12.8244i	0.0668330	+	0.774750i
$275$		−	8.89447i		−	0.536357i
$276$	4.95701	+	14.7941i	0.298377	+	0.890502i
$277$	−3.64469			−0.218988			−0.109494	−	0.993987i	$-0.534923\pi$
$277$	−3.64469			−0.218988			−0.109494	+	0.993987i	$0.534923\pi$
$278$	15.2472	+	7.13246i	0.914466	+	0.427777i
$279$	1.57122	+	1.44850i	0.0940665	+	0.0867197i
$280$	−8.17972	−	17.3927i	−0.488832	−	1.03941i
$281$	−9.22049	−	15.9704i	−0.550049	−	0.952712i	−0.998270	−	0.0587897i	$-0.981276\pi$
$281$	−9.22049	−	15.9704i	−0.550049	−	0.952712i	0.448222	−	0.893922i	$-0.352057\pi$
$282$	0.879556	+	0.258969i	0.0523768	+	0.0154214i
$283$	16.1391	+	27.9537i	0.959369	+	1.66168i	0.724037	+	0.689761i	$0.242285\pi$
$283$	16.1391	+	27.9537i	0.959369	+	1.66168i	0.235333	+	0.971915i	$0.424382\pi$
$284$	−4.12153	−	23.7113i	−0.244568	−	1.40701i
$285$	−10.5440	+	8.43633i	−0.624572	+	0.499725i
$286$	−27.7348	−	12.9740i	−1.64000	−	0.767171i
$287$	5.80914	−	16.3107i	0.342903	−	0.962791i
$288$	−11.3509	−	12.6158i	−0.668857	−	0.743391i
$289$	−3.81460	−	6.60709i	−0.224388	−	0.388652i
$290$	−12.1178	−	17.3508i	−0.711581	−	1.01888i
$291$	4.85292	−	3.88286i	0.284483	−	0.227617i
$292$	30.0665	+	11.0261i	1.75951	+	0.645257i
$293$	−8.82787	−	5.09677i	−0.515730	−	0.297757i	0.219456	−	0.975622i	$-0.429572\pi$
$293$	−8.82787	−	5.09677i	−0.515730	−	0.297757i	−0.735186	+	0.677866i	$0.762905\pi$
$294$	9.68388	+	14.1500i	0.564776	+	0.825245i
$295$	14.0418	−	8.10703i	0.817544	−	0.472010i
$296$	−12.7136	+	12.6212i	−0.738964	+	0.733594i
$297$	12.6850	+	26.0188i	0.736056	+	1.50976i
$298$	2.74110	+	31.7758i	0.158788	+	1.84072i
$299$	−8.75276	+	15.1602i	−0.506185	+	0.876738i
$300$	5.24440	−	1.75722i	0.302785	−	0.101453i
$301$	−1.73734	−	2.04163i	−0.100139	−	0.117678i
$302$	−8.41563	+	0.725965i	−0.484265	+	0.0417746i
$303$	−1.24746	−	8.18699i	−0.0716645	−	0.470330i
$304$	−9.26319	−	7.84981i	−0.531281	−	0.450217i
$305$	11.8241	−	20.4800i	0.677047	−	1.17268i
$306$	1.74969	−	12.8691i	0.100023	−	0.735676i
$307$	25.7276			1.46835			0.734175	−	0.678960i	$-0.237569\pi$
$307$	25.7276			1.46835			0.734175	+	0.678960i	$0.237569\pi$
$308$	−27.6542	+	10.2061i	−1.57574	+	0.581545i
$309$	−13.6685	+	2.08268i	−0.777576	+	0.118480i
$310$	−1.48150	−	2.12129i	−0.0841437	−	0.120481i
$311$	−2.60404	−	4.51033i	−0.147661	−	0.255757i	0.782701	−	0.622398i	$-0.213841\pi$
$311$	−2.60404	−	4.51033i	−0.147661	−	0.255757i	−0.930363	+	0.366640i	$0.880508\pi$
$312$	2.17042	−	18.9163i	0.122876	−	1.07093i
$313$	3.53377	+	2.04022i	0.199740	+	0.115320i	0.596534	−	0.802588i	$-0.296544\pi$
$313$	3.53377	+	2.04022i	0.199740	+	0.115320i	−0.396794	+	0.917908i	$0.629877\pi$
$314$	−0.927727	−	1.32837i	−0.0523547	−	0.0749640i
$315$	−18.0457	+	9.48368i	−1.01676	+	0.534345i
$316$	13.0331	+	4.77958i	0.733170	+	0.268872i
$317$	−0.318774	+	0.552133i	−0.0179041	+	0.0310109i	−0.874839	−	0.484414i	$-0.839033\pi$
$317$	−0.318774	+	0.552133i	−0.0179041	+	0.0310109i	0.856935	+	0.515425i	$0.172366\pi$
$318$	9.41755	+	2.77282i	0.528110	+	0.155492i
$319$	−28.1094	+	16.2290i	−1.57382	+	0.908647i
$320$	10.1435	+	17.8688i	0.567040	+	0.998897i
$321$	−12.9106	+	10.3299i	−0.720600	+	0.576558i
$322$	4.45454	+	16.2532i	0.248242	+	0.905758i
$323$		−	9.29214i		−	0.517028i
$324$	−12.8352	+	12.6197i	−0.713068	+	0.701095i
$325$	5.37418	+	3.10278i	0.298106	+	0.172111i
$326$	2.22616	+	3.18752i	0.123296	+	0.176541i
$327$	−7.66114	+	19.6129i	−0.423662	+	1.08460i
$328$	−4.85585	+	17.8615i	−0.268120	+	0.986236i
$329$	0.932948	+	0.332274i	0.0514351	+	0.0183188i
$330$	−8.23735	−	34.0649i	−0.453451	−	1.87521i
$331$	0.686424	+	0.396307i	0.0377293	+	0.0217830i	0.518746	−	0.854928i	$-0.326399\pi$
$331$	0.686424	+	0.396307i	0.0377293	+	0.0217830i	−0.481017	+	0.876711i	$0.659732\pi$
$332$	12.5606	+	15.0433i	0.689352	+	0.825606i
$333$	13.9704	+	12.8793i	0.765573	+	0.705780i
$334$	11.3797	+	5.32329i	0.622670	+	0.291278i
$335$	−8.14865	−	14.1139i	−0.445208	−	0.771123i
$336$	−11.4812	−	14.2892i	−0.626350	−	0.779542i
$337$	10.3481	−	17.9234i	0.563697	−	0.976351i	−0.433473	−	0.901167i	$-0.642712\pi$
$337$	10.3481	−	17.9234i	0.563697	−	0.976351i	0.997170	−	0.0751846i	$-0.0239546\pi$
$338$	2.44151	−	1.70514i	0.132800	−	0.0927475i
$339$	2.80508	−	7.18117i	0.152351	−	0.390028i
$340$	−5.41404	+	14.7632i	−0.293618	+	0.800646i
$341$	−3.43661	+	1.98413i	−0.186103	+	0.107447i
$342$	−7.88308	+	10.1839i	−0.426268	+	0.550681i
$343$	9.59101	+	15.8434i	0.517866	+	0.855462i
$344$	2.01908	+	2.03386i	0.108862	+	0.109658i
$345$	−19.8081	+	3.01817i	−1.06643	+	0.162493i
$346$	6.54797	−	13.9977i	0.352021	−	0.752522i
$347$	−22.1387	+	12.7818i	−1.18847	+	0.686163i	−0.957958	−	0.286907i	$-0.907373\pi$
$347$	−22.1387	+	12.7818i	−1.18847	+	0.686163i	−0.230510	+	0.973070i	$0.574039\pi$
$348$	−15.1224	−	13.3677i	−0.810644	−	0.716585i
$349$	1.57229	−	0.907760i	0.0841626	−	0.0485913i	−0.457328	−	0.889298i	$-0.651193\pi$
$349$	1.57229	−	0.907760i	0.0841626	−	0.0485913i	0.541491	+	0.840707i	$0.317860\pi$
$350$	5.76164	−	1.57910i	0.307973	−	0.0844064i
$351$	−20.1460	−	1.41204i	−1.07531	−	0.0753691i
$352$	28.6406	−	13.1440i	1.52655	−	0.700578i
$353$		−	25.8988i		−	1.37845i	−0.724547	−	0.689226i	$-0.757951\pi$
$353$		−	25.8988i		−	1.37845i	0.724547	−	0.689226i	$-0.242049\pi$
$354$	11.1993	−	10.6627i	0.595237	−	0.566716i
$355$	30.9066			1.64035
$356$	−3.58456	+	2.99298i	−0.189981	+	0.158628i
$357$	2.66227	−	13.7731i	0.140902	−	0.728951i
$358$	7.11442	−	15.2086i	0.376009	−	0.803801i
$359$	2.34262	−	1.35251i	0.123639	−	0.0713828i	−0.436905	−	0.899508i	$-0.643925\pi$
$359$	2.34262	−	1.35251i	0.123639	−	0.0713828i	0.560544	+	0.828125i	$0.310592\pi$
$360$	18.4581	−	11.5869i	0.972828	−	0.610684i
$361$	4.89293	−	8.47480i	0.257523	−	0.446042i
$362$	27.1637	−	2.34325i	1.42769	−	0.123159i
$363$	−34.3019	+	5.22660i	−1.80038	+	0.274325i
$364$	3.48033	−	20.2694i	0.182419	−	1.06241i
$365$	−20.5629	+	35.6160i	−1.07631	+	1.86422i
$366$	6.37007	−	21.6351i	0.332969	−	1.13089i
$367$	6.80973			0.355465			0.177732	−	0.984079i	$-0.443124\pi$
$367$	6.80973			0.355465			0.177732	+	0.984079i	$0.443124\pi$
$368$	−6.07952	−	16.9595i	−0.316917	−	0.884073i
$369$	19.1543	+	4.30708i	0.997133	+	0.224218i
$370$	−13.1727	−	18.8613i	−0.684815	−	0.980552i
$371$	9.98922	+	3.55771i	0.518615	+	0.184707i
$372$	−1.84884	−	1.63432i	−0.0958578	−	0.0847354i
$373$	33.5147			1.73533			0.867663	−	0.497152i	$-0.165621\pi$
$373$	33.5147			1.73533			0.867663	+	0.497152i	$0.165621\pi$
$374$	21.8445	+	10.2186i	1.12955	+	0.528392i
$375$	−2.28059	−	14.9674i	−0.117769	−	0.772911i
$376$	−1.02165	−	0.277747i	−0.0526875	−	0.0143237i
$377$		−	22.6455i		−	1.16630i
$378$	−14.6023	+	12.8363i	−0.751063	+	0.660230i
$379$		−	9.31826i		−	0.478647i	−0.970940	−	0.239323i	$-0.923074\pi$
$379$		−	9.31826i		−	0.478647i	0.970940	−	0.239323i	$-0.0769256\pi$
$380$	11.9690	−	9.99368i	0.613995	−	0.512665i
$381$	−2.87539	−	18.8710i	−0.147311	−	0.966793i
$382$	11.5306	−	24.6492i	0.589957	−	1.26116i
$383$	−1.85650			−0.0948627			−0.0474314	−	0.998874i	$-0.515104\pi$
$383$	−1.85650			−0.0948627			−0.0474314	+	0.998874i	$0.515104\pi$
$384$	13.4084	+	14.2904i	0.684242	+	0.729255i
$385$	−6.83118	−	37.2333i	−0.348149	−	1.89759i
$386$	12.2744	−	8.57245i	0.624753	−	0.436326i
$387$	2.06036	−	2.23492i	0.104734	−	0.113607i
$388$	−5.50878	+	4.59964i	−0.279666	+	0.233511i
$389$	−13.3235			−0.675527			−0.337764	−	0.941231i	$-0.609670\pi$
$389$	−13.3235			−0.675527			−0.337764	+	0.941231i	$0.609670\pi$
$390$	23.4561	+	6.90621i	1.18775	+	0.349710i
$391$	6.89385	−	11.9405i	0.348637	−	0.603857i
$392$	−11.5209	−	16.1018i	−0.581894	−	0.813265i
$393$	3.89596	−	0.593629i	0.196525	−	0.0299446i
$394$	2.52004	+	29.2131i	0.126958	+	1.47173i
$395$	−8.91353	+	15.4387i	−0.448488	+	0.776804i
$396$	−15.2718	−	29.7313i	−0.767439	−	1.49405i
$397$	−8.02033	+	4.63054i	−0.402529	+	0.232400i	−0.687575	−	0.726114i	$-0.741325\pi$
$397$	−8.02033	+	4.63054i	−0.402529	+	0.232400i	0.285046	+	0.958514i	$0.407991\pi$
$398$	−21.8929	−	10.2412i	−1.09739	−	0.513346i
$399$	−9.11500	+	10.5078i	−0.456321	+	0.526048i
$400$	−6.01199	+	2.15514i	−0.300600	+	0.107757i
$401$	−9.84717			−0.491744			−0.245872	−	0.969302i	$-0.579074\pi$
$401$	−9.84717			−0.491744			−0.245872	+	0.969302i	$0.579074\pi$
$402$	−10.7174	−	11.2568i	−0.534537	−	0.561438i
$403$		−	2.76860i		−	0.137914i
$404$	1.63763	+	9.42137i	0.0814754	+	0.468730i
$405$	−13.1440	−	19.0148i	−0.653132	−	0.944854i
$406$	−15.5032	−	15.3274i	−0.769412	−	0.760686i
$407$	−30.5564	+	17.6417i	−1.51462	+	0.874468i
$408$	−1.70947	+	14.8989i	−0.0846313	+	0.737605i
$409$	−17.3443	+	10.0137i	−0.857618	+	0.495146i	−0.863214	−	0.504838i	$-0.831552\pi$
$409$	−17.3443	+	10.0137i	−0.857618	+	0.495146i	0.00559575	+	0.999984i	$0.498219\pi$
$410$	−21.5309	−	10.0719i	−1.06334	−	0.497416i
$411$	−15.5851	+	2.37471i	−0.768754	+	0.117136i
$412$	15.7294	−	2.73410i	0.774931	−	0.134700i
$413$	12.7202	−	10.8244i	0.625920	−	0.532632i
$414$	−17.6853	+	7.23793i	−0.869184	+	0.355725i
$415$	−21.7955	+	12.5836i	−1.06990	+	0.617706i
$416$	−2.04929	+	21.8903i	−0.100475	+	1.07326i
$417$	−7.50104	+	19.2031i	−0.367328	+	0.940379i
$418$	−13.6927	−	19.6059i	−0.669732	−	0.958955i
$419$	15.0233	−	26.0211i	0.733935	−	1.27121i	−0.221255	−	0.975216i	$-0.571015\pi$
$419$	15.0233	−	26.0211i	0.733935	−	1.27121i	0.955189	−	0.295996i	$-0.0956515\pi$
$420$	20.6041	−	11.3838i	1.00538	−	0.555471i
$421$	4.68787	+	8.11963i	0.228473	+	0.395727i	0.957356	−	0.288912i	$-0.0932934\pi$
$421$	4.68787	+	8.11963i	0.228473	+	0.395727i	−0.728883	+	0.684639i	$0.759960\pi$
$422$	−10.5448	+	22.5418i	−0.513313	+	1.09732i
$423$	−0.246359	+	1.09560i	−0.0119784	+	0.0532697i
$424$	−10.9390	−	2.97388i	−0.531243	−	0.144425i
$425$	−4.23281	−	2.44381i	−0.205321	−	0.118542i
$426$	28.6500	−	6.92795i	1.38810	−	0.335660i
$427$	8.17321	−	22.9485i	0.395529	−	1.11055i
$428$	14.6554	−	12.2368i	0.708397	−	0.591487i
$429$	13.6445	−	34.9306i	0.658762	−	1.68647i
$430$	−3.01734	+	2.10730i	−0.145509	+	0.101623i
$431$	11.7434	+	6.78007i	0.565661	+	0.326584i	0.755414	−	0.655247i	$-0.227436\pi$
$431$	11.7434	+	6.78007i	0.565661	+	0.326584i	−0.189754	+	0.981832i	$0.560769\pi$
$432$	14.5131	−	14.8785i	0.698264	−	0.715840i
$433$			28.8432i			1.38611i	0.720882	+	0.693057i	$0.243737\pi$
$433$			28.8432i			1.38611i	−0.720882	+	0.693057i	$0.756263\pi$
$434$	−1.89540	−	1.87390i	−0.0909822	−	0.0899503i
$435$	20.2389	−	16.1933i	0.970383	−	0.776411i
$436$	8.37124	−	22.8270i	0.400909	−	1.09321i
$437$	−11.8403	+	6.83598i	−0.566397	+	0.327009i
$438$	−11.0779	+	37.6249i	−0.529325	+	1.79779i
$439$	7.24892	−	12.5555i	0.345972	−	0.599241i	−0.639558	−	0.768743i	$-0.720883\pi$
$439$	7.24892	−	12.5555i	0.345972	−	0.599241i	0.985530	+	0.169502i	$0.0542159\pi$
$440$	10.3314	+	39.1275i	0.492530	+	1.86533i
$441$	−16.5211	+	12.9635i	−0.786721	+	0.617309i
$442$	−13.7946	+	9.63409i	−0.656141	+	0.458247i
$443$	23.9790	+	13.8443i	1.13928	+	0.657762i	0.946251	−	0.323432i	$-0.104837\pi$
$443$	23.9790	+	13.8443i	1.13928	+	0.657762i	0.193025	+	0.981194i	$0.438170\pi$
$444$	−16.4388	−	14.5314i	−0.780151	−	0.689631i
$445$	−2.99847	−	5.19350i	−0.142141	−	0.246195i
$446$	−15.4253	+	10.7730i	−0.730407	+	0.510115i
$447$	−38.6160	+	5.88395i	−1.82648	+	0.278301i
$448$	13.5992	+	16.2192i	0.642500	+	0.766285i
$449$	5.91384			0.279091			0.139546	−	0.990216i	$-0.455436\pi$
$449$	5.91384			0.279091			0.139546	+	0.990216i	$0.455436\pi$
$450$	2.56579	+	6.26929i	0.120952	+	0.295537i
$451$	−18.2279	+	31.5716i	−0.858318	+	1.48665i
$452$	−3.06508	+	8.35797i	−0.144169	+	0.393126i
$453$	−1.55833	−	10.2272i	−0.0732168	−	0.480517i
$454$	−0.112919	−	1.30899i	−0.00529953	−	0.0614339i
$455$	24.8800	+	8.86112i	1.16639	+	0.415416i
$456$	8.85493	−	11.9469i	0.414670	−	0.559467i
$457$	−14.0779	+	24.3837i	−0.658539	+	1.14062i	0.322456	+	0.946585i	$0.395492\pi$
$457$	−14.0779	+	24.3837i	−0.658539	+	1.14062i	−0.980994	+	0.194038i	$0.937842\pi$
$458$	5.58982	−	0.482200i	0.261195	−	0.0225317i
$459$	15.8674	+	1.11215i	0.740627	+	0.0519108i
$460$	22.7946	−	3.96219i	1.06280	−	0.184738i
$461$	−17.0229	+	9.82816i	−0.792835	+	0.457743i	−0.840959	−	0.541098i	$-0.818009\pi$
$461$	−17.0229	+	9.82816i	−0.792835	+	0.457743i	0.0481250	+	0.998841i	$0.484675\pi$
$462$	−14.6786	−	32.9836i	−0.682908	−	1.53454i
$463$	−2.94753	−	1.70176i	−0.136983	−	0.0790873i	0.429942	−	0.902856i	$-0.358534\pi$
$463$	−2.94753	−	1.70176i	−0.136983	−	0.0790873i	−0.566925	+	0.823769i	$0.691867\pi$
$464$	17.7805	+	15.0675i	0.825438	+	0.699492i
$465$	2.47438	−	1.97977i	0.114747	−	0.0918098i
$466$	27.6014	−	19.2768i	1.27861	−	0.892979i
$467$	13.9746	+	24.2047i	0.646666	+	1.12006i	0.983914	+	0.178643i	$0.0571706\pi$
$467$	13.9746	+	24.2047i	0.646666	+	1.12006i	−0.337248	+	0.941416i	$0.609496\pi$
$468$	23.2916	+	1.14411i	1.07665	+	0.0528865i
$469$	−10.8799	−	12.7855i	−0.502388	−	0.590380i
$470$	0.576097	−	1.23153i	0.0265734	−	0.0568064i
$471$	1.54948	−	1.23975i	0.0713961	−	0.0571245i
$472$	−12.6718	+	12.5797i	−0.583266	+	0.579028i
$473$	2.82224	+	4.88826i	0.129767	+	0.224762i
$474$	−4.80203	+	16.3095i	−0.220565	+	0.749120i
$475$	2.42330	+	4.19728i	0.111189	+	0.192584i
$476$	−2.74118	+	15.9646i	−0.125642	+	0.731736i
$477$	−2.63780	+	11.7307i	−0.120777	+	0.537113i
$478$	−4.84102	+	10.3487i	−0.221423	+	0.473340i
$479$	−23.4375			−1.07089			−0.535443	−	0.844571i	$-0.679855\pi$
$479$	−23.4375			−1.07089			−0.535443	+	0.844571i	$0.679855\pi$
$480$	−21.0294	+	13.8218i	−0.959857	+	0.630876i
$481$		−	24.6168i		−	1.12243i
$482$	−28.5460	+	2.46249i	−1.30023	+	0.112163i
$483$	−19.5086	+	6.74020i	−0.887673	+	0.306690i
$484$	39.4737	−	6.86137i	1.79426	−	0.311880i
$485$	−4.60807	−	7.98141i	−0.209242	−	0.362417i
$486$	−16.4467	−	14.6802i	−0.746036	−	0.665906i
$487$	17.8385	+	10.2991i	0.808340	+	0.466695i	0.846379	−	0.532581i	$-0.178778\pi$
$487$	17.8385	+	10.2991i	0.808340	+	0.466695i	−0.0380392	+	0.999276i	$0.512111\pi$
$488$	−6.83197	+	25.1303i	−0.309269	+	1.13760i
$489$	−3.71810	+	2.97488i	−0.168138	+	0.134529i
$490$	22.9062	−	11.0354i	1.03479	−	0.498528i
$491$	3.12221	+	1.80261i	0.140903	+	0.0813506i	0.568794	−	0.822480i	$-0.307410\pi$
$491$	3.12221	+	1.80261i	0.140903	+	0.0813506i	−0.427891	+	0.903830i	$0.640743\pi$
$492$	−22.2166	−	4.51021i	−1.00160	−	0.203336i
$493$			17.8360i			0.803295i
$494$	16.6228	−	1.43395i	0.747894	−	0.0645163i
$495$	40.9755	−	12.7837i	1.84171	−	0.574585i
$496$	2.17382	+	1.84213i	0.0976072	+	0.0827142i
$497$	31.3148	−	5.74530i	1.40466	−	0.257712i
$498$	−17.3834	+	16.5505i	−0.778970	+	0.741645i
$499$			21.0927i			0.944239i	0.881534	+	0.472120i	$0.156511\pi$
$499$			21.0927i			0.944239i	−0.881534	+	0.472120i	$0.843489\pi$
$500$	2.99390	+	17.2240i	0.133891	+	0.770282i
$501$	−5.59838	+	14.3322i	−0.250117	+	0.640314i
$502$	0.216394	+	2.50851i	0.00965815	+	0.111960i
$503$	−14.3184			−0.638426			−0.319213	−	0.947683i	$-0.603419\pi$
$503$	−14.3184			−0.638426			−0.319213	+	0.947683i	$0.603419\pi$
$504$	16.5480	−	15.1712i	0.737105	−	0.675778i
$505$	−12.2803			−0.546467
$506$	−3.04964	−	35.3524i	−0.135573	−	1.57161i
$507$	2.27863	+	2.84790i	0.101197	+	0.126480i
$508$	3.77475	+	21.7163i	0.167478	+	0.963504i
$509$		−	10.7196i		−	0.475140i	−0.971370	−	0.237570i	$-0.923649\pi$
$509$		−	10.7196i		−	0.475140i	0.971370	−	0.237570i	$-0.0763509\pi$
$510$	−18.4745	−	5.43947i	−0.818065	−	0.240864i
$511$	−14.2137	+	39.9088i	−0.628778	+	1.76546i
$512$	−15.8240	−	16.1741i	−0.699329	−	0.714800i
$513$	−13.0748	−	8.82218i	−0.577268	−	0.389509i
$514$	16.2643	−	1.40302i	0.717386	−	0.0618846i
$515$			20.5025i			0.903449i
$516$	−2.32467	+	2.62980i	−0.102338	+	0.115771i
$517$	−1.80585	−	1.04261i	−0.0794212	−	0.0458538i
$518$	−16.8528	−	16.6617i	−0.740470	−	0.732073i
$519$	17.6294	+	6.88634i	0.773845	+	0.302277i
$520$	−27.2455	−	7.40700i	−1.19479	−	0.324818i
$521$	4.42878	+	2.55696i	0.194028	+	0.112022i	0.593867	−	0.804563i	$-0.297600\pi$
$521$	4.42878	+	2.55696i	0.194028	+	0.112022i	−0.399839	+	0.916586i	$0.630934\pi$
$522$	15.1314	−	19.5477i	0.662283	−	0.855581i
$523$	−21.0669	−	36.4890i	−0.921193	−	1.59555i	−0.797573	−	0.603223i	$-0.793883\pi$
$523$	−21.0669	−	36.4890i	−0.921193	−	1.59555i	−0.123620	−	0.992330i	$-0.539450\pi$
$524$	−4.48336	+	0.779304i	−0.195856	+	0.0340440i
$525$	2.38935	+	6.91565i	0.104280	+	0.301824i
$526$	−19.3152	+	1.66620i	−0.842181	+	0.0726498i
$527$			2.18061i			0.0949888i
$528$	18.3478	+	33.9548i	0.798486	+	1.47769i
$529$	2.71350			0.117978
$530$	6.16837	−	13.1862i	0.267937	−	0.572774i
$531$	13.9244	+	12.8369i	0.604269	+	0.557074i
$532$	10.2693	−	12.3506i	0.445231	−	0.535467i
$533$	−12.7174	−	22.0271i	−0.550851	−	0.954102i
$534$	−3.94371	−	4.14218i	−0.170661	−	0.179250i
$535$	12.2592	+	21.2336i	0.530012	+	0.918008i
$536$	12.6443	+	12.7368i	0.546150	+	0.550148i
$537$	19.1545	+	7.48206i	0.826577	+	0.322875i
$538$	0.266075	−	0.568794i	0.0114713	−	0.0245225i
$539$	−13.8428	−	36.4552i	−0.596251	−	1.57024i
$540$	15.6328	+	21.6345i	0.672730	+	0.931002i
$541$	7.93311	+	13.7406i	0.341071	+	0.590753i	0.984632	−	0.174642i	$-0.0558769\pi$
$541$	7.93311	+	13.7406i	0.341071	+	0.590753i	−0.643561	+	0.765395i	$0.722544\pi$
$542$	4.20620	−	2.93760i	0.180672	−	0.126181i
$543$	5.02994	+	33.0112i	0.215855	+	1.41665i
$544$	1.61406	−	17.2412i	0.0692023	−	0.739212i
$545$	27.0402	+	15.6117i	1.15828	+	0.668731i
$546$	25.0497	+	2.63711i	1.07203	+	0.112858i
$547$	11.3942	−	6.57845i	0.487182	−	0.281274i	−0.236223	−	0.971699i	$-0.575910\pi$
$547$	11.3942	−	6.57845i	0.487182	−	0.281274i	0.723404	+	0.690424i	$0.242576\pi$
$548$	17.9349	−	3.11746i	0.766139	−	0.133171i
$549$	26.9493	+	6.05988i	1.15017	+	0.258629i
$550$	−12.5321	+	1.08107i	−0.534372	+	0.0460971i
$551$	8.84316	−	15.3168i	0.376731	−	0.652518i
$552$	20.2421	−	8.78248i	0.861563	−	0.373807i
$553$	−6.16132	+	17.2995i	−0.262006	+	0.735651i
$554$	0.442991	+	5.13530i	0.0188209	+	0.218178i
$555$	22.0008	−	17.6030i	0.933882	−	0.747206i
$556$	8.19630	−	22.3499i	0.347600	−	0.947848i
$557$	−8.64104	+	14.9667i	−0.366133	+	0.634160i	−0.988957	−	0.148201i	$-0.952652\pi$
$557$	−8.64104	+	14.9667i	−0.366133	+	0.634160i	0.622825	+	0.782361i	$0.285985\pi$
$558$	1.84994	−	2.38988i	0.0783143	−	0.101172i
$559$	−3.93808			−0.166563
$560$	−23.5117	+	13.6390i	−0.993552	+	0.576355i
$561$	−10.7467	+	27.5121i	−0.453725	+	1.16156i
$562$	−21.3812	+	14.9326i	−0.901913	+	0.629894i
$563$	8.39508	+	14.5407i	0.353811	+	0.612818i	0.986914	−	0.161250i	$-0.0515524\pi$
$563$	8.39508	+	14.5407i	0.353811	+	0.612818i	−0.633103	+	0.774068i	$0.718219\pi$
$564$	0.257977	−	1.27075i	0.0108628	−	0.0535084i
$565$	−9.90063	−	5.71613i	−0.416523	−	0.240479i
$566$	37.4246	−	26.1373i	1.57308	−	1.09863i
$567$	−16.8523	−	16.8226i	−0.707731	−	0.706482i
$568$	−32.9078	+	8.68913i	−1.38078	+	0.364588i
$569$	10.7220	−	18.5710i	0.449489	−	0.778537i	−0.548864	−	0.835912i	$-0.684939\pi$
$569$	10.7220	−	18.5710i	0.449489	−	0.778537i	0.998353	+	0.0573742i	$0.0182728\pi$
$570$	13.1682	+	13.8309i	0.551555	+	0.579313i
$571$	−5.63992	+	3.25621i	−0.236023	+	0.136268i	−0.613348	−	0.789813i	$-0.710178\pi$
$571$	−5.63992	+	3.25621i	−0.236023	+	0.136268i	0.377324	+	0.926081i	$0.376844\pi$
$572$	−14.9092	+	40.6548i	−0.623383	+	1.69986i
$573$	31.0444	+	12.1265i	1.29690	+	0.506590i
$574$	−23.6876	−	6.20249i	−0.988699	−	0.258887i
$575$			7.19140i			0.299902i
$576$	−16.3957	+	17.5265i	−0.683156	+	0.730272i
$577$	−32.2941	−	18.6450i	−1.34442	−	0.776201i	−0.356967	−	0.934117i	$-0.616189\pi$
$577$	−32.2941	−	18.6450i	−1.34442	−	0.776201i	−0.987453	+	0.157916i	$0.949523\pi$
$578$	−8.84562	+	6.17776i	−0.367929	+	0.256961i
$579$	11.4556	+	14.3176i	0.476078	+	0.595018i
$580$	−22.9742	+	19.1826i	−0.953950	+	0.796515i
$581$	−19.7441	+	16.8014i	−0.819125	+	0.697041i
$582$	−6.06072	−	6.36574i	−0.251225	−	0.263868i
$583$	−19.3355	−	11.1634i	−0.800796	−	0.462340i
$584$	11.8812	−	43.7032i	0.491649	−	1.80845i
$585$	−6.56992	+	29.2175i	−0.271633	+	1.20800i
$586$	−6.10828	+	13.0578i	−0.252331	+	0.539412i
$587$	−3.71458	−	6.43385i	−0.153317	−	0.265553i	0.779128	−	0.626865i	$-0.215662\pi$
$587$	−3.71458	−	6.43385i	−0.153317	−	0.265553i	−0.932445	+	0.361312i	$0.882329\pi$
$588$	18.7601	−	15.3643i	0.773652	−	0.633611i
$589$	1.08115	−	1.87261i	0.0445481	−	0.0771596i
$590$	−13.1293	−	18.7992i	−0.540527	−	0.773953i
$591$	−35.5017	+	5.40942i	−1.46035	+	0.222514i
$592$	19.3283	+	16.3792i	0.794389	+	0.673181i
$593$	−13.4550	+	7.76825i	−0.552531	+	0.319004i	−0.750142	−	0.661277i	$-0.770015\pi$
$593$	−13.4550	+	7.76825i	−0.552531	+	0.319004i	0.197611	+	0.980280i	$0.436682\pi$
$594$	35.1182	−	21.0353i	1.44092	−	0.863089i
$595$	−19.5960	−	6.97920i	−0.803356	−	0.286119i
$596$	44.4383	−	7.72432i	1.82026	−	0.316401i
$597$	10.7704	−	27.5729i	0.440805	−	1.12849i
$598$	22.4243	+	10.4898i	0.916998	+	0.428961i
$599$	22.6581	−	13.0817i	0.925786	−	0.534503i	0.0403097	−	0.999187i	$-0.487166\pi$
$599$	22.6581	−	13.0817i	0.925786	−	0.534503i	0.885476	+	0.464684i	$0.153832\pi$
$600$	−3.11332	−	7.17567i	−0.127101	−	0.292946i
$601$	34.2829	−	19.7932i	1.39843	−	0.807383i	0.404200	−	0.914671i	$-0.367550\pi$
$601$	34.2829	−	19.7932i	1.39843	−	0.807383i	0.994228	+	0.107288i	$0.0342166\pi$
$602$	−2.66546	+	2.69603i	−0.108636	+	0.109882i
$603$	12.9028	−	13.9959i	0.525443	−	0.569958i
$604$	2.04574	+	11.7692i	0.0832401	+	0.478883i
$605$			51.4521i			2.09182i
$606$	−11.3837	+	2.75273i	−0.462431	+	0.111822i
$607$	−5.53667			−0.224727			−0.112363	−	0.993667i	$-0.535842\pi$
$607$	−5.53667			−0.224727			−0.112363	+	0.993667i	$0.535842\pi$
$608$	−9.93434	+	14.0058i	−0.402891	+	0.568009i
$609$	17.4960	−	20.1695i	0.708975	−	0.817308i
$610$	−30.2930	−	14.1707i	−1.22653	−	0.573756i
$611$	1.25992	−	0.727414i	0.0509709	−	0.0294280i
$612$	−18.3449	−	0.901124i	−0.741550	−	0.0364258i
$613$	24.0237	−	41.6103i	0.970308	−	1.68062i	0.275686	−	0.961248i	$-0.411095\pi$
$613$	24.0237	−	41.6103i	0.970308	−	1.68062i	0.694622	−	0.719375i	$-0.255572\pi$
$614$	−3.12704	−	36.2497i	−0.126197	−	1.46292i
$615$	10.5924	−	27.1171i	0.427126	−	1.09347i
$616$	17.7414	+	37.7237i	0.714820	+	1.51993i
$617$	16.8217	−	29.1360i	0.677215	−	1.17297i	−0.298601	−	0.954378i	$-0.596520\pi$
$617$	16.8217	−	29.1360i	0.677215	−	1.17297i	0.975816	−	0.218593i	$-0.0701466\pi$
$618$	4.59579	+	19.0056i	0.184870	+	0.764516i
$619$	−30.9341			−1.24335			−0.621673	−	0.783277i	$-0.713547\pi$
$619$	−30.9341			−1.24335			−0.621673	+	0.783277i	$0.713547\pi$
$620$	−2.80879	+	2.34524i	−0.112804	+	0.0941871i
$621$	−10.2561	−	21.0368i	−0.411563	−	0.844179i
$622$	−6.03846	+	4.21724i	−0.242120	+	0.169096i
$623$	−4.00350	−	4.70470i	−0.160397	−	0.188490i
$624$	−26.9165	−	0.758911i	−1.07752	−	0.0303808i
$625$	−30.4340			−1.21736
$626$	2.44512	−	5.22699i	0.0977268	−	0.208913i
$627$	22.8693	−	18.2979i	0.913314	−	0.730749i
$628$	−1.75888	+	1.46860i	−0.0701870	+	0.0586037i
$629$			19.3887i			0.773079i
$630$	15.5557	+	24.2734i	0.619753	+	0.967076i
$631$		−	17.8791i		−	0.711757i	−0.934532	−	0.355878i	$-0.884182\pi$
$631$		−	17.8791i		−	0.711757i	0.934532	−	0.355878i	$-0.115818\pi$
$632$	5.15023	−	18.9443i	0.204865	−	0.753565i
$633$	−28.3903	−	11.0897i	−1.12841	−	0.440777i
$634$	0.816690	+	0.382038i	0.0324349	+	0.0151727i
$635$	−28.3062			−1.12330
$636$	2.76220	−	13.6062i	0.109529	−	0.539519i
$637$	26.8558	+	4.35315i	1.06406	+	0.172478i
$638$	26.2828	+	37.6330i	1.04055	+	1.48991i
$639$	10.7516	+	34.4620i	0.425328	+	1.36330i
$640$	23.9439	−	16.4639i	0.946467	−	0.650792i
$641$	−9.87069			−0.389869			−0.194934	−	0.980816i	$-0.562449\pi$
$641$	−9.87069			−0.389869			−0.194934	+	0.980816i	$0.562449\pi$
$642$	16.1238	+	16.9353i	0.636356	+	0.668382i
$643$	19.6415	−	34.0201i	0.774585	−	1.34162i	−0.160442	−	0.987045i	$-0.551292\pi$
$643$	19.6415	−	34.0201i	0.774585	−	1.34162i	0.935027	−	0.354576i	$-0.115375\pi$
$644$	22.3591	−	8.25185i	0.881072	−	0.325169i
$645$	−2.81604	−	3.51958i	−0.110882	−	0.138583i
$646$	−13.0924	+	1.12941i	−0.515115	+	0.0444359i
$647$	12.5252	−	21.6942i	0.492415	−	0.852888i	−0.507546	−	0.861624i	$-0.669447\pi$
$647$	12.5252	−	21.6942i	0.492415	−	0.852888i	0.999962	+	0.00873594i	$0.00278077\pi$
$648$	19.3410	+	16.5507i	0.759786	+	0.650174i
$649$	−30.4559	+	17.5837i	−1.19550	+	0.690221i
$650$	3.71856	−	7.94924i	0.145854	−	0.311795i
$651$	2.13904	−	2.46589i	0.0838355	−	0.0966458i
$652$	4.22058	−	3.52404i	0.165291	−	0.138012i
$653$	9.01388			0.352740			0.176370	−	0.984324i	$-0.443564\pi$
$653$	9.01388			0.352740			0.176370	+	0.984324i	$0.443564\pi$
$654$	28.5654	+	8.41056i	1.11700	+	0.328879i
$655$		−	5.84385i		−	0.228338i
$656$	25.7567	+	4.67084i	1.00563	+	0.182366i
$657$	−46.8665	−	10.5385i	−1.82844	−	0.411147i
$658$	0.354773	−	1.35489i	0.0138305	−	0.0528192i
$659$	−11.1541	+	6.43982i	−0.434502	+	0.250860i	−0.701263	−	0.712903i	$-0.747380\pi$
$659$	−11.1541	+	6.43982i	−0.434502	+	0.250860i	0.266761	+	0.963763i	$0.414047\pi$
$660$	−46.9957	+	15.7467i	−1.82930	+	0.612938i
$661$	5.47039	−	3.15833i	0.212773	−	0.122845i	−0.389826	−	0.920888i	$-0.627465\pi$
$661$	5.47039	−	3.15833i	0.212773	−	0.122845i	0.602600	+	0.798044i	$0.294132\pi$
$662$	0.474958	−	1.01533i	0.0184598	−	0.0394618i
$663$	−12.8743	−	16.0907i	−0.499996	−	0.624912i
$664$	19.6690	−	19.5261i	0.763305	−	0.757758i
$665$	13.3678	+	15.7092i	0.518383	+	0.609175i
$666$	16.4486	−	21.2494i	0.637371	−	0.823398i
$667$	22.7271	−	13.1215i	0.879998	−	0.508067i
$668$	6.11728	−	16.6808i	0.236685	−	0.645400i
$669$	−14.3962	−	17.9928i	−0.556589	−	0.695643i
$670$	−18.8957	+	13.1967i	−0.730006	+	0.509835i
$671$	−25.6459	+	44.4199i	−0.990047	+	1.71481i
$672$	−18.7378	+	17.9136i	−0.722826	+	0.691030i
$673$	17.4382	+	30.2039i	0.672195	+	1.16428i	0.977280	+	0.211951i	$0.0679817\pi$
$673$	17.4382	+	30.2039i	0.672195	+	1.16428i	−0.305085	+	0.952325i	$0.598685\pi$
$674$	−26.5115	−	12.4018i	−1.02119	−	0.477699i
$675$	−7.45738	+	3.63571i	−0.287035	+	0.139938i
$676$	−2.69926	−	3.23278i	−0.103818	−	0.124338i
$677$	−35.3337	−	20.3999i	−1.35799	−	0.784034i	−0.368634	−	0.929575i	$-0.620174\pi$
$677$	−35.3337	−	20.3999i	−1.35799	−	0.784034i	−0.989352	+	0.145541i	$0.953508\pi$
$678$	−10.4591	−	3.07948i	−0.401678	−	0.118267i
$679$	−6.15261	−	7.23022i	−0.236116	−	0.277470i
$680$	21.4591	+	5.83390i	0.822918	+	0.223720i
$681$	1.59077	−	0.242387i	0.0609585	−	0.00928828i
$682$	3.21330	+	4.60096i	0.123044	+	0.176180i
$683$	−25.0149	−	14.4424i	−0.957168	−	0.552621i	−0.0618679	−	0.998084i	$-0.519706\pi$
$683$	−25.0149	−	14.4424i	−0.957168	−	0.552621i	−0.895300	+	0.445463i	$0.853039\pi$
$684$	15.3070	+	9.86932i	0.585279	+	0.377363i
$685$			23.3772i			0.893199i
$686$	21.1573	−	15.4392i	0.807789	−	0.589472i
$687$	1.03507	+	6.79312i	0.0394905	+	0.259174i
$688$	2.62026	−	3.09205i	0.0998966	−	0.117883i
$689$	13.4902	−	7.78854i	0.513934	−	0.296720i
$690$	6.66010	+	27.5423i	0.253546	+	1.04852i
$691$	−7.64635	+	13.2439i	−0.290881	+	0.503821i	−0.974018	−	0.226469i	$-0.927282\pi$
$691$	−7.64635	+	13.2439i	−0.290881	+	0.503821i	0.683137	+	0.730290i	$0.260615\pi$
$692$	−20.5184	−	7.52462i	−0.779992	−	0.286043i
$693$	39.1402	−	20.5696i	1.48681	−	0.781374i
$694$	20.7001	+	29.6395i	0.785766	+	1.12510i
$695$	26.4751	+	15.2854i	1.00426	+	0.579810i
$696$	−16.9968	+	22.9319i	−0.644263	+	0.869231i
$697$	10.0165	+	17.3490i	0.379401	+	0.657141i
$698$	−1.47012	−	2.10499i	−0.0556448	−	0.0796750i
$699$	25.7601	+	32.1958i	0.974335	+	1.21776i
$700$	−2.92522	−	7.92612i	−0.110563	−	0.299579i
$701$	47.8578			1.80756			0.903782	−	0.427993i	$-0.140779\pi$
$701$	47.8578			1.80756			0.903782	+	0.427993i	$0.140779\pi$
$702$	0.459093	+	28.5570i	0.0173274	+	1.07781i
$703$	9.61299	−	16.6502i	0.362561	−	0.627973i
$704$	−22.0008	−	38.7565i	−0.829185	−	1.46069i
$705$	1.55105	+	0.605868i	0.0584161	+	0.0228183i
$706$	−36.4908	+	3.14784i	−1.37335	+	0.118471i
$707$	−12.4425	+	2.28282i	−0.467948	+	0.0858542i
$708$	−16.3847	−	14.4836i	−0.615776	−	0.544328i
$709$	6.74940	−	11.6903i	0.253479	−	0.439038i	−0.711002	−	0.703190i	$-0.751758\pi$
$709$	6.74940	−	11.6903i	0.253479	−	0.439038i	0.964481	+	0.264151i	$0.0850918\pi$
$710$	−3.75652	−	43.5468i	−0.140980	−	1.63428i
$711$	−20.3155	−	4.56820i	−0.761892	−	0.171321i
$712$	4.65273	+	4.68679i	0.174369	+	0.175645i
$713$	2.77858	−	1.60422i	0.104059	−	0.0600784i
$714$	−19.7297	−	2.07704i	−0.738364	−	0.0777314i
$715$	−48.1586	−	27.8044i	−1.80103	−	1.03983i
$716$	−22.2934	−	8.17556i	−0.833143	−	0.305535i
$717$	−13.0337	−	5.09118i	−0.486753	−	0.190134i
$718$	−2.19039	−	3.13631i	−0.0817448	−	0.117046i
$719$	13.5701	+	23.5041i	0.506078	+	0.876554i	0.999975	+	0.00703306i	$0.00223871\pi$
$719$	13.5701	+	23.5041i	0.506078	+	0.876554i	−0.493897	+	0.869521i	$0.664428\pi$
$720$	−18.5692	−	24.5988i	−0.692034	−	0.916744i
$721$	3.81126	+	20.7733i	0.141939	+	0.773638i
$722$	−12.5355	−	5.86398i	−0.466525	−	0.218235i
$723$	−5.28588	−	34.6910i	−0.196584	−	1.29017i
$724$	−6.60319	−	37.9884i	−0.245406	−	1.41183i
$725$	−4.65147	−	8.05658i	−0.172751	−	0.299214i
$726$	11.5334	+	47.6954i	0.428044	+	1.77014i
$727$	19.5557	+	33.8715i	0.725282	+	1.25622i	0.958858	+	0.283886i	$0.0916238\pi$
$727$	19.5557	+	33.8715i	0.725282	+	1.25622i	−0.233576	+	0.972338i	$0.575043\pi$
$728$	−28.9822	−	2.44009i	−1.07415	−	0.0904359i
$729$	16.6298	−	21.2709i	0.615918	−	0.787810i
$730$	52.6815	+	24.6438i	1.94983	+	0.912108i
$731$	3.10171			0.114721
$732$	−31.2577	−	6.34567i	−1.15532	−	0.234543i
$733$		−	26.0353i		−	0.961635i	−0.876821	−	0.480817i	$-0.840340\pi$
$733$		−	26.0353i		−	0.961635i	0.876821	−	0.480817i	$-0.159660\pi$
$734$	−0.827683	−	9.59478i	−0.0305503	−	0.354150i
$735$	15.3135	+	27.1147i	0.564846	+	1.00014i
$736$	−23.1566	+	10.6273i	−0.853565	+	0.391726i
$737$	17.6740	+	30.6122i	0.651029	+	1.12762i
$738$	3.74050	−	27.5116i	0.137690	−	1.01271i
$739$	−21.3801	−	12.3438i	−0.786480	−	0.454074i	0.0522420	−	0.998634i	$-0.483363\pi$
$739$	−21.3801	−	12.3438i	−0.786480	−	0.454074i	−0.838722	+	0.544560i	$0.816697\pi$
$740$	−24.9741	+	20.8525i	−0.918067	+	0.766554i
$741$	3.07806	+	20.2011i	0.113075	+	0.742107i
$742$	3.79861	−	14.5070i	0.139451	−	0.532570i
$743$	32.6332	+	18.8408i	1.19720	+	0.691202i	0.959929	−	0.280242i	$-0.0904146\pi$
$743$	32.6332	+	18.8408i	1.19720	+	0.691202i	0.237268	+	0.971444i	$0.423748\pi$
$744$	−2.07801	+	2.80362i	−0.0761834	+	0.102786i
$745$			57.9232i			2.12214i
$746$	−4.07352	−	47.2216i	−0.149142	−	1.72891i
$747$	−21.6133	−	19.9253i	−0.790790	−	0.729028i
$748$	11.7428	−	32.0205i	0.429358	−	1.17079i
$749$	16.3683	+	19.2351i	0.598084	+	0.702836i
$750$	−20.8115	+	5.03250i	−0.759929	+	0.183761i
$751$		−	34.3884i		−	1.25485i	−0.778676	−	0.627426i	$-0.784108\pi$
$751$		−	34.3884i		−	1.25485i	0.778676	−	0.627426i	$-0.215892\pi$
$752$	−0.267165	+	1.47324i	−0.00974250	+	0.0537236i
$753$	−3.04851	+	0.464504i	−0.111094	+	0.0169275i
$754$	−31.9070	+	2.75243i	−1.16199	+	0.100237i
$755$	−15.3406			−0.558303
$756$	19.8610	+	19.0142i	0.722337	+	0.691541i
$757$	25.0283			0.909668			0.454834	−	0.890576i	$-0.349699\pi$
$757$	25.0283			0.909668			0.454834	+	0.890576i	$0.349699\pi$
$758$	−13.1292	+	1.13258i	−0.476876	+	0.0411372i
$759$	42.9626	−	6.54624i	1.55944	−	0.237614i
$760$	−15.5357	−	15.6494i	−0.563538	−	0.567663i
$761$			7.45482i			0.270237i	0.990829	+	0.135119i	$0.0431415\pi$
$761$			7.45482i			0.270237i	−0.990829	+	0.135119i	$0.956858\pi$
$762$	−26.2394	+	6.34504i	−0.950555	+	0.229857i
$763$	30.2994	+	10.7913i	1.09691	+	0.390671i
$764$	−36.1317	−	13.2504i	−1.30720	−	0.479384i
$765$	5.17460	−	23.0123i	0.187088	−	0.832012i
$766$	0.225647	+	2.61577i	0.00815295	+	0.0945117i
$767$		−	24.5359i		−	0.885939i
$768$	18.5052	−	20.6290i	0.667750	−	0.744386i
$769$	−31.9762	−	18.4615i	−1.15309	−	0.665737i	−0.203452	−	0.979085i	$-0.565216\pi$
$769$	−31.9762	−	18.4615i	−1.15309	−	0.665737i	−0.949639	+	0.313347i	$0.898550\pi$
$770$	−51.6308	+	14.1505i	−1.86064	+	0.509948i
$771$	3.01167	+	19.7654i	0.108463	+	0.711835i
$772$	−13.5703	−	16.2525i	−0.488406	−	0.584941i
$773$	−3.26165	−	1.88311i	−0.117313	−	0.0677309i	0.440195	−	0.897902i	$-0.354909\pi$
$773$	−3.26165	−	1.88311i	−0.117313	−	0.0677309i	−0.557509	+	0.830171i	$0.688243\pi$
$774$	−3.39938	−	2.63137i	−0.122188	−	0.0945827i
$775$	−0.568682	−	0.984986i	−0.0204277	−	0.0353817i
$776$	7.15036	+	7.20270i	0.256683	+	0.258562i
$777$	19.0191	−	21.9253i	0.682307	−	0.786565i
$778$	1.61939	+	18.7725i	0.0580580	+	0.673028i
$779$		−	19.8648i		−	0.711730i
$780$	6.87977	−	33.8886i	0.246335	−	1.21341i
$781$	−67.0347			−2.39869
$782$	−17.6618	−	8.26200i	−0.631586	−	0.295449i
$783$	25.0968	+	16.9340i	0.896887	+	0.605170i
$784$	−21.2869	+	18.1898i	−0.760245	+	0.649637i
$785$	−1.47130	−	2.54836i	−0.0525129	−	0.0909550i
$786$	−1.30994	−	5.41717i	−0.0467241	−	0.193224i
$787$	−25.2822	−	43.7900i	−0.901212	−	1.56095i	−0.825922	−	0.563784i	$-0.809345\pi$
$787$	−25.2822	−	43.7900i	−0.901212	−	1.56095i	−0.0752903	−	0.997162i	$-0.523988\pi$
$788$	40.8544	−	7.10137i	1.45538	−	0.252976i
$789$	−3.57661	−	23.4731i	−0.127331	−	0.835663i
$790$	22.8362	+	10.6825i	0.812475	+	0.380067i
$791$	−11.0940	−	3.95117i	−0.394456	−	0.140488i
$792$	−40.0346	+	25.1314i	−1.42257	+	0.893005i
$793$	−17.8928	−	30.9912i	−0.635392	−	1.10053i
$794$	7.49917	+	10.7377i	0.266136	+	0.381066i
$795$	16.6074	+	6.48712i	0.589004	+	0.230075i
$796$	−11.7687	+	32.0914i	−0.417132	+	1.13745i
$797$	−14.2897	−	8.25016i	−0.506167	−	0.292236i	0.225090	−	0.974338i	$-0.427732\pi$
$797$	−14.2897	−	8.25016i	−0.506167	−	0.292236i	−0.731257	+	0.682102i	$0.761066\pi$
$798$	15.9132	+	11.5657i	0.563320	+	0.409421i
$799$	−0.992338	+	0.572926i	−0.0351064	+	0.0202687i
$800$	3.76728	+	8.20884i	0.133193	+	0.290226i
$801$	4.74786	−	5.15010i	0.167757	−	0.181970i
$802$	1.19687	+	13.8745i	0.0422628	+	0.489925i
$803$	44.5998	−	77.2491i	1.57389	−	2.72606i
$804$	−14.5580	+	16.4688i	−0.513420	+	0.580811i
$805$	5.52318	+	30.1041i	0.194666	+	1.06103i
$806$	−3.90091	+	0.336508i	−0.137404	+	0.0118530i
$807$	0.716367	+	0.279825i	0.0252173	+	0.00985030i
$808$	13.0755	−	3.45251i	0.459994	−	0.121459i
$809$	1.63374	−	2.82972i	0.0574392	−	0.0994876i	−0.835876	−	0.548918i	$-0.815040\pi$
$809$	1.63374	−	2.82972i	0.0574392	−	0.0994876i	0.893315	+	0.449431i	$0.148373\pi$
$810$	−25.1939	+	20.8308i	−0.885225	+	0.731921i
$811$	0.801585			0.0281475			0.0140737	−	0.999901i	$-0.495520\pi$
$811$	0.801585			0.0281475			0.0140737	+	0.999901i	$0.495520\pi$
$812$	−19.7117	+	23.7067i	−0.691744	+	0.831942i
$813$	3.92560	+	4.90634i	0.137677	+	0.172073i
$814$	28.5708	+	40.9091i	1.00141	+	1.43386i
$815$	3.53050	+	6.11501i	0.123668	+	0.214199i
$816$	21.2000	+	0.597734i	0.742149	+	0.0209249i
$817$	−2.66361	−	1.53784i	−0.0931881	−	0.0538022i
$818$	16.2172	+	23.2206i	0.567022	+	0.811890i
$819$	−1.22538	+	30.8247i	−0.0428181	+	1.07710i
$820$	−11.5742	+	31.5608i	−0.404187	+	1.10215i
$821$	12.6994	−	21.9960i	0.443213	−	0.767667i	−0.554713	−	0.832042i	$-0.687172\pi$
$821$	12.6994	−	21.9960i	0.443213	−	0.767667i	0.997926	+	0.0643747i	$0.0205053\pi$
$822$	5.24019	+	21.6704i	0.182773	+	0.755842i
$823$	9.34001	−	5.39246i	0.325572	−	0.187969i	−0.328301	−	0.944573i	$-0.606476\pi$
$823$	9.34001	−	5.39246i	0.325572	−	0.187969i	0.653874	+	0.756604i	$0.273143\pi$
$824$	−5.76411	−	21.8301i	−0.200802	−	0.760487i
$825$	−2.32059	−	15.2299i	−0.0807926	−	0.530237i
$826$	−16.7974	−	16.6069i	−0.584456	−	0.577827i
$827$			3.34832i			0.116432i	0.998304	+	0.0582162i	$0.0185413\pi$
$827$			3.34832i			0.116432i	−0.998304	+	0.0582162i	$0.981459\pi$
$828$	12.3477	+	24.0385i	0.429111	+	0.835396i
$829$	8.23383	+	4.75381i	0.285973	+	0.165106i	0.636124	−	0.771587i	$-0.280537\pi$
$829$	8.23383	+	4.75381i	0.285973	+	0.165106i	−0.350151	+	0.936693i	$0.613870\pi$
$830$	20.3792	+	29.1799i	0.707372	+	1.01285i
$831$	−6.24076	+	0.950909i	−0.216490	+	0.0329867i
$832$	31.0921	+	0.226768i	1.07792	+	0.00786178i
$833$	−21.1521	−	3.42863i	−0.732878	−	0.118795i
$834$	27.9685	+	8.23480i	0.968469	+	0.285148i
$835$	19.7596	+	11.4082i	0.683811	+	0.394798i
$836$	−25.9600	+	21.6757i	−0.897847	+	0.749671i
$837$	3.06830	+	2.07032i	0.106056	+	0.0715608i
$838$	−38.4892	−	18.0048i	−1.32959	−	0.621965i
$839$	−17.7731	−	30.7839i	−0.613596	−	1.06278i	−0.990629	−	0.136579i	$-0.956389\pi$
$839$	−17.7731	−	30.7839i	−0.613596	−	1.06278i	0.377034	−	0.926200i	$-0.376944\pi$
$840$	−18.5438	−	27.6471i	−0.639822	−	0.953917i
$841$	−2.47424	+	4.28551i	−0.0853186	+	0.147776i
$842$	10.8706	−	7.59202i	0.374626	−	0.261638i
$843$	−19.9548	−	24.9402i	−0.687281	−	0.858987i
$844$	33.0427	+	12.1176i	1.13738	+	0.417105i
$845$	4.68383	−	2.70421i	0.161129	−	0.0930277i
$846$	1.57362	+	0.213951i	0.0541021	+	0.00735579i
$847$	9.56455	+	52.1316i	0.328642	+	1.79126i
$848$	−2.86058	+	15.7743i	−0.0982326	+	0.541690i
$849$	34.9280	+	43.6541i	1.19872	+	1.49820i
$850$	−2.92881	+	6.26098i	−0.100457	+	0.214750i
$851$	24.7056	−	14.2638i	0.846897	−	0.488956i
$852$	−13.2436	−	39.5253i	−0.453718	−	1.35411i
$853$	−29.1774	+	16.8456i	−0.999017	+	0.576783i	−0.907957	−	0.419063i	$-0.862359\pi$
$853$	−29.1774	+	16.8456i	−0.999017	+	0.576783i	−0.0910594	+	0.995845i	$0.529025\pi$
$854$	−33.3273	−	8.72664i	−1.14044	−	0.298619i
$855$	−15.8533	+	17.1964i	−0.542171	+	0.588104i
$856$	−19.0227	−	19.1619i	−0.650181	−	0.654941i
$857$			5.43977i			0.185819i	0.995675	+	0.0929095i	$0.0296167\pi$
$857$			5.43977i			0.185819i	−0.995675	+	0.0929095i	$0.970383\pi$
$858$	−50.8750	−	14.9792i	−1.73684	−	0.511381i
$859$	−15.0709			−0.514214			−0.257107	−	0.966383i	$-0.582769\pi$
$859$	−15.0709			−0.514214			−0.257107	+	0.966383i	$0.582769\pi$
$860$	3.33589	+	3.99524i	0.113753	+	0.136237i
$861$	5.69141	−	29.4443i	0.193963	−	1.00346i
$862$	8.12564	−	17.3703i	0.276760	−	0.591636i
$863$	−6.63530	+	3.83089i	−0.225868	+	0.130405i	−0.608665	−	0.793428i	$-0.708294\pi$
$863$	−6.63530	+	3.83089i	−0.225868	+	0.130405i	0.382796	+	0.923833i	$0.374961\pi$
$864$	−22.7275	−	18.6404i	−0.773204	−	0.634158i
$865$	14.0328	−	24.3055i	0.477130	−	0.826413i
$866$	40.6395	−	3.50572i	1.38099	−	0.119129i
$867$	−8.25550	−	10.3180i	−0.280372	−	0.350418i
$868$	−2.40992	+	2.89835i	−0.0817980	+	0.0983763i
$869$	19.3330	−	33.4857i	0.655826	−	1.13592i
$870$	−25.2760	−	26.5481i	−0.856937	−	0.900064i
$871$	−24.6618			−0.835634
$872$	−33.1802	−	9.02043i	−1.12362	−	0.305470i
$873$	7.29655	−	7.91471i	0.246951	−	0.267872i
$874$	11.0709	+	15.8518i	0.374478	+	0.536197i
$875$	−22.7472	+	4.17342i	−0.768996	+	0.141087i
$876$	54.3592	+	11.0355i	1.83663	+	0.372856i
$877$	−40.3859			−1.36374			−0.681868	−	0.731475i	$-0.738832\pi$
$877$	−40.3859			−1.36374			−0.681868	+	0.731475i	$0.738832\pi$
$878$	−18.5715	−	8.68754i	−0.626758	−	0.293190i
$879$	−16.4456	−	6.42393i	−0.554697	−	0.216674i
$880$	53.8742	−	19.3125i	1.81610	−	0.651023i
$881$			11.4041i			0.384215i	0.981374	+	0.192107i	$0.0615322\pi$
$881$			11.4041i			0.384215i	−0.981374	+	0.192107i	$0.938468\pi$
$882$	20.2734	+	21.7023i	0.682640	+	0.730755i
$883$			31.0063i			1.04345i	0.853115	+	0.521723i	$0.174710\pi$
$883$			31.0063i			1.04345i	−0.853115	+	0.521723i	$0.825290\pi$
$884$	15.2509	+	18.2653i	0.512943	+	0.614329i
$885$	21.9284	−	17.5451i	0.737116	−	0.589772i
$886$	16.5918	−	35.4687i	0.557413	−	1.19159i
$887$	−49.8222			−1.67286			−0.836432	−	0.548071i	$-0.815363\pi$
$887$	−49.8222			−1.67286			−0.836432	+	0.548071i	$0.815363\pi$
$888$	−18.4765	+	24.9282i	−0.620029	+	0.836535i
$889$	−28.6800	+	5.26190i	−0.961896	+	0.176478i
$890$	−6.95309	+	4.85602i	−0.233068	+	0.162774i
$891$	28.5087	+	41.2421i	0.955077	+	1.38166i
$892$	17.0538	+	20.4245i	0.571002	+	0.683863i
$893$	1.13623			0.0380226
$894$	12.9839	+	53.6941i	0.434248	+	1.79580i
$895$	15.2468	−	26.4082i	0.509643	−	0.882727i
$896$	21.1996	−	21.1323i	0.708230	−	0.705981i
$897$	−11.0319	+	28.2423i	−0.368345	+	0.942982i
$898$	−0.718793	−	8.33248i	−0.0239864	−	0.278059i
$899$	−2.07525	+	3.59443i	−0.0692133	+	0.119881i
$900$	8.52145	−	4.37714i	0.284048	−	0.145905i
$901$	−10.6251	+	6.13442i	−0.353974	+	0.204367i
$902$	46.6993	+	21.8454i	1.55492	+	0.727373i
$903$	−3.50750	−	3.04258i	−0.116722	−	0.101251i
$904$	12.1488	+	3.30278i	0.404062	+	0.109849i
$905$	49.5161			1.64597
$906$	−14.2206	+	3.43872i	−0.472447	+	0.114244i
$907$		−	10.8669i		−	0.360828i	−0.983591	−	0.180414i	$-0.942256\pi$
$907$		−	10.8669i		−	0.360828i	0.983591	−	0.180414i	$-0.0577437\pi$
$908$	−1.83062	+	0.318200i	−0.0607511	+	0.0105598i
$909$	−4.27201	−	13.6930i	−0.141694	−	0.454169i
$910$	9.46113	−	36.1324i	0.313633	−	1.19778i
$911$	−32.3485	+	18.6764i	−1.07175	+	0.618776i	−0.928660	−	0.370933i	$-0.879038\pi$
$911$	−32.3485	+	18.6764i	−1.07175	+	0.618776i	−0.143092	+	0.989709i	$0.545705\pi$
$912$	−17.9093	−	11.0243i	−0.593036	−	0.365052i
$913$	47.2732	−	27.2932i	1.56451	−	0.903273i
$914$	36.0673	+	16.8719i	1.19300	+	0.558071i
$915$	14.9030	−	38.1525i	0.492678	−	1.26128i
$916$	−1.35882	−	7.81734i	−0.0448967	−	0.258292i
$917$	−1.08633	−	5.92103i	−0.0358737	−	0.195530i
$918$	−0.361591	−	22.4920i	−0.0119343	−	0.742348i
$919$	−37.0569	+	21.3948i	−1.22239	+	0.705749i	−0.965428	−	0.260671i	$-0.916056\pi$
$919$	−37.0569	+	21.3948i	−1.22239	+	0.705749i	−0.256966	+	0.966420i	$0.582723\pi$
$920$	−8.35319	−	31.6355i	−0.275397	−	1.04299i
$921$	44.0530	−	6.71239i	1.45160	−	0.221181i
$922$	15.9167	+	22.7904i	0.524190	+	0.750560i
$923$	23.3846	−	40.5034i	0.769715	−	1.33318i
$924$	−44.6891	+	24.6908i	−1.47016	+	0.812267i
$925$	−5.05639	−	8.75793i	−0.166253	−	0.287959i
$926$	−2.03949	+	4.35985i	−0.0670217	+	0.143273i
$927$	−22.8611	+	7.13231i	−0.750857	+	0.234256i
$928$	19.0687	−	26.8837i	0.625962	−	0.882502i
$929$	47.7007	+	27.5400i	1.56501	+	0.903559i	0.996737	+	0.0807186i	$0.0257215\pi$
$929$	47.7007	+	27.5400i	1.56501	+	0.903559i	0.568273	+	0.822840i	$0.307612\pi$
$930$	−3.09021	−	3.24573i	−0.101332	−	0.106432i
$931$	16.4646	+	13.4317i	0.539606	+	0.440205i
$932$	−30.5154	−	36.5469i	−0.999565	−	1.19713i
$933$	−5.63562	−	7.04358i	−0.184502	−	0.230596i
$934$	32.4054	−	22.6318i	1.06034	−	0.740537i
$935$	37.9307	+	21.8993i	1.24047	+	0.716184i
$936$	−1.21893	−	32.9565i	−0.0398420	−	1.07722i
$937$		−	48.4798i		−	1.58377i	−0.610672	−	0.791883i	$-0.709101\pi$
$937$		−	48.4798i		−	1.58377i	0.610672	−	0.791883i	$-0.290899\pi$
$938$	−16.6921	+	16.8836i	−0.545017	+	0.551269i
$939$	6.58313	+	2.57148i	0.214832	+	0.0839170i
$940$	−1.80523	−	0.662024i	−0.0588801	−	0.0215929i
$941$	−12.0616	+	6.96376i	−0.393197	+	0.227012i	−0.683544	−	0.729909i	$-0.739562\pi$
$941$	−12.0616	+	6.96376i	−0.393197	+	0.227012i	0.290348	+	0.956921i	$0.406229\pi$
$942$	−1.93511	−	2.03250i	−0.0630493	−	0.0662223i
$943$	14.7377	−	25.5265i	0.479926	−	0.831256i
$944$	19.2647	+	16.3253i	0.627014	+	0.531344i
$945$	−28.4252	+	20.9470i	−0.924672	+	0.681405i
$946$	6.54444	−	4.57062i	0.212778	−	0.148604i
$947$	37.7090	+	21.7713i	1.22538	+	0.707473i	0.966060	−	0.258318i	$-0.0831684\pi$
$947$	37.7090	+	21.7713i	1.22538	+	0.707473i	0.259320	+	0.965792i	$0.416502\pi$
$948$	23.5634	+	4.78364i	0.765305	+	0.155365i
$949$	31.1167	+	53.8957i	1.01009	+	1.74953i
$950$	5.61935	−	3.92454i	0.182316	−	0.127329i
$951$	−0.401780	+	1.02858i	−0.0130286	+	0.0333540i
$952$	22.8270	+	1.92187i	0.739827	+	0.0622880i
$953$	−44.2712			−1.43409			−0.717043	−	0.697029i	$-0.754505\pi$
$953$	−44.2712			−1.43409			−0.717043	+	0.697029i	$0.754505\pi$
$954$	16.8490	+	2.29081i	0.545506	+	0.0741677i
$955$	24.7110	−	42.8007i	0.799629	−	1.38500i
$956$	15.1696	+	5.56308i	0.490619	+	0.179923i
$957$	−43.8972	+	35.1224i	−1.41899	+	1.13535i
$958$	2.84869	+	33.0230i	0.0920370	+	1.06692i
$959$	4.34565	+	23.6860i	0.140328	+	0.764860i
$960$	22.0307	+	27.9501i	0.711036	+	0.902085i
$961$	15.2463	−	26.4073i	0.491816	−	0.851850i
$962$	−34.6846	+	2.99203i	−1.11828	+	0.0964671i
$963$	−19.4116	+	21.0561i	−0.625530	+	0.678525i
$964$	6.93919	+	39.9214i	0.223496	+	1.28578i
$965$	23.5475	−	13.5952i	0.758022	−	0.437644i
$966$	11.8680	+	26.6680i	0.381846	+	0.858030i
$967$	42.1020	+	24.3076i	1.35391	+	0.781680i	0.988795	−	0.149283i	$-0.0476965\pi$
$967$	42.1020	+	24.3076i	1.35391	+	0.781680i	0.365114	+	0.930963i	$0.381030\pi$
$968$	−14.4653	−	54.7837i	−0.464933	−	1.76081i
$969$	−2.42434	−	15.9108i	−0.0778811	−	0.511129i
$970$	−10.6856	+	7.46278i	−0.343093	+	0.239615i
$971$	−14.2467	−	24.6760i	−0.457198	−	0.791890i	0.541614	−	0.840627i	$-0.317814\pi$
$971$	−14.2467	−	24.6760i	−0.457198	−	0.791890i	−0.998812	+	0.0487375i	$0.984480\pi$
$972$	−18.6851	+	24.9573i	−0.599324	+	0.800507i
$973$	29.6663	+	10.5658i	0.951056	+	0.338723i
$974$	12.3430	−	26.3859i	0.395496	−	0.845459i
$975$	10.0117	+	3.91072i	0.320630	+	0.125243i
$976$	36.2385	+	6.57167i	1.15997	+	0.210354i
$977$	13.3626	+	23.1447i	0.427507	+	0.740464i	0.996651	−	0.0817739i	$-0.0260585\pi$
$977$	13.3626	+	23.1447i	0.427507	+	0.740464i	−0.569144	+	0.822238i	$0.692725\pi$
$978$	4.64346	+	4.87715i	0.148481	+	0.155954i
$979$	6.50351	+	11.2644i	0.207853	+	0.360012i
$980$	−18.3328	−	30.9330i	−0.585619	−	0.988120i
$981$	−8.00102	+	35.5818i	−0.255453	+	1.13604i
$982$	2.16035	−	4.61823i	0.0689397	−	0.147374i
$983$	0.219427			0.00699864			0.00349932	−	0.999994i	$-0.498886\pi$
$983$	0.219427			0.00699864			0.00349932	+	0.999994i	$0.498886\pi$
$984$	−3.65451	+	31.8509i	−0.116501	+	1.01537i
$985$			53.2518i			1.69674i
$986$	25.1306	−	2.16787i	0.800322	−	0.0690390i
$987$	1.68417	+	0.325540i	0.0536076	+	0.0103621i
$988$	−4.04081	−	23.2469i	−0.128555	−	0.739582i
$989$	−2.28185	−	3.95228i	−0.0725586	−	0.125675i
$990$	−22.9923	−	56.1799i	−0.730744	−	1.78551i
$991$	−21.3172	−	12.3075i	−0.677165	−	0.390961i	0.121621	−	0.992577i	$-0.461191\pi$
$991$	−21.3172	−	12.3075i	−0.677165	−	0.390961i	−0.798786	+	0.601615i	$0.794524\pi$
$992$	2.33132	−	3.28677i	0.0740193	−	0.104355i
$993$	1.27875	+	0.499502i	0.0405800	+	0.0158512i
$994$	−11.9011	−	43.4236i	−0.377481	−	1.37731i
$995$	−38.0146	−	21.9478i	−1.20514	−	0.695790i
$996$	25.4322	+	22.4813i	0.805849	+	0.712347i
$997$			44.8987i			1.42196i	0.703213	+	0.710979i	$0.251748\pi$
$997$			44.8987i			1.42196i	−0.703213	+	0.710979i	$0.748252\pi$
$998$	29.7192	−	2.56370i	0.940746	−	0.0811524i
$999$	27.2816	+	18.4081i	0.863151	+	0.582407i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.n.b.31.19	✓	84
3.2	odd	2		756.2.n.b.199.24		84
4.3	odd	2	inner	252.2.n.b.31.37	yes	84
7.5	odd	6		252.2.bj.b.103.10	yes	84
9.2	odd	6		756.2.bj.b.451.33		84
9.7	even	3		252.2.bj.b.115.10	yes	84
12.11	even	2		756.2.n.b.199.6		84
21.5	even	6		756.2.bj.b.523.33		84
28.19	even	6		252.2.bj.b.103.9	yes	84
36.7	odd	6		252.2.bj.b.115.9	yes	84
36.11	even	6		756.2.bj.b.451.34		84
63.47	even	6		756.2.n.b.19.6		84
63.61	odd	6	inner	252.2.n.b.187.37	yes	84
84.47	odd	6		756.2.bj.b.523.34		84
252.47	odd	6		756.2.n.b.19.24		84
252.187	even	6	inner	252.2.n.b.187.19	yes	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.n.b.31.19	✓	84	1.1	even	1	trivial
252.2.n.b.31.37	yes	84	4.3	odd	2	inner
252.2.n.b.187.19	yes	84	252.187	even	6	inner
252.2.n.b.187.37	yes	84	63.61	odd	6	inner
252.2.bj.b.103.9	yes	84	28.19	even	6
252.2.bj.b.103.10	yes	84	7.5	odd	6
252.2.bj.b.115.9	yes	84	36.7	odd	6
252.2.bj.b.115.10	yes	84	9.7	even	3
756.2.n.b.19.6		84	63.47	even	6
756.2.n.b.19.24		84	252.47	odd	6
756.2.n.b.199.6		84	12.11	even	2
756.2.n.b.199.24		84	3.2	odd	2
756.2.bj.b.451.33		84	9.2	odd	6
756.2.bj.b.451.34		84	36.11	even	6
756.2.bj.b.523.33		84	21.5	even	6
756.2.bj.b.523.34		84	84.47	odd	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.n (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.121544 - 1.40898i) q^{2} +(1.71229 - 0.260902i) q^{3} +(-1.97045 + 0.342507i) q^{4} -2.56839i q^{5} +(-0.575725 - 2.38087i) q^{6} +(-0.477445 - 2.60232i) q^{7} +(0.722083 + 2.73470i) q^{8} +(2.86386 - 0.893480i) q^{9} +O(q^{10})\)	\(q+(-0.121544 - 1.40898i) q^{2} +(1.71229 - 0.260902i) q^{3} +(-1.97045 + 0.342507i) q^{4} -2.56839i q^{5} +(-0.575725 - 2.38087i) q^{6} +(-0.477445 - 2.60232i) q^{7} +(0.722083 + 2.73470i) q^{8} +(2.86386 - 0.893480i) q^{9} +(-3.61882 + 0.312174i) q^{10} +5.57071i q^{11} +(-3.28462 + 1.10057i) q^{12} +(-3.36591 - 1.94331i) q^{13} +(-3.60858 + 0.989007i) q^{14} +(-0.670100 - 4.39783i) q^{15} +(3.76538 - 1.34979i) q^{16} +(2.65106 + 1.53059i) q^{17} +(-1.60698 - 3.92653i) q^{18} +(-1.51774 - 2.62880i) q^{19} +(0.879693 + 5.06090i) q^{20} +(-1.49647 - 4.33135i) q^{21} +(7.84902 - 0.677087i) q^{22} -4.50405i q^{23} +(1.94990 + 4.49420i) q^{24} -1.59665 q^{25} +(-2.32898 + 4.97869i) q^{26} +(4.67064 - 2.27708i) q^{27} +(1.83209 + 4.96421i) q^{28} +(2.91327 + 5.04593i) q^{29} +(-6.11501 + 1.47869i) q^{30} +(0.356172 + 0.616907i) q^{31} +(-2.35949 - 5.14129i) q^{32} +(1.45341 + 9.53865i) q^{33} +(1.83435 - 3.92132i) q^{34} +(-6.68377 + 1.22627i) q^{35} +(-5.33708 + 2.74145i) q^{36} +(3.16687 + 5.48519i) q^{37} +(-3.51946 + 2.45798i) q^{38} +(-6.27041 - 2.44933i) q^{39} +(7.02379 - 1.85459i) q^{40} +(5.66744 + 3.27210i) q^{41} +(-5.92090 + 2.63495i) q^{42} +(0.877494 - 0.506621i) q^{43} +(-1.90801 - 10.9768i) q^{44} +(-2.29481 - 7.35552i) q^{45} +(-6.34613 + 0.547442i) q^{46} +(-0.187159 + 0.324169i) q^{47} +(6.09525 - 3.29362i) q^{48} +(-6.54409 + 2.48493i) q^{49} +(0.194064 + 2.24965i) q^{50} +(4.93870 + 1.92914i) q^{51} +(7.29796 + 2.67635i) q^{52} +(-2.00394 + 3.47093i) q^{53} +(-3.77606 - 6.30408i) q^{54} +14.3078 q^{55} +(6.77180 - 3.18476i) q^{56} +(-3.28467 - 4.10529i) q^{57} +(6.75552 - 4.71804i) q^{58} +(3.15646 + 5.46715i) q^{59} +(2.82669 + 8.43621i) q^{60} +(7.97384 + 4.60370i) q^{61} +(0.825920 - 0.576821i) q^{62} +(-3.69245 - 7.02608i) q^{63} +(-6.95719 + 3.94936i) q^{64} +(-4.99118 + 8.64497i) q^{65} +(13.2631 - 3.20720i) q^{66} +(5.49521 - 3.17266i) q^{67} +(-5.74802 - 2.10795i) q^{68} +(-1.17512 - 7.71224i) q^{69} +(2.54016 + 9.26826i) q^{70} +12.0334i q^{71} +(4.51135 + 7.18664i) q^{72} +(-13.8670 - 8.00612i) q^{73} +(7.34361 - 5.12876i) q^{74} +(-2.73393 + 0.416570i) q^{75} +(3.89102 + 4.66010i) q^{76} +(14.4967 - 2.65971i) q^{77} +(-2.68892 + 9.13259i) q^{78} +(-6.01102 - 3.47047i) q^{79} +(-3.46679 - 9.67098i) q^{80} +(7.40339 - 5.11760i) q^{81} +(3.92148 - 8.38302i) q^{82} +(-4.89941 - 8.48603i) q^{83} +(4.43225 + 8.02217i) q^{84} +(3.93115 - 6.80896i) q^{85} +(-0.820474 - 1.17479i) q^{86} +(6.30484 + 7.88000i) q^{87} +(-15.2342 + 4.02251i) q^{88} +(2.02208 - 1.16745i) q^{89} +(-10.0849 + 4.12736i) q^{90} +(-3.45006 + 9.68697i) q^{91} +(1.54267 + 8.87503i) q^{92} +(0.770821 + 0.963397i) q^{93} +(0.479496 + 0.224303i) q^{94} +(-6.75180 + 3.89816i) q^{95} +(-5.38149 - 8.18777i) q^{96} +(3.10755 - 1.79414i) q^{97} +(4.29661 + 8.91847i) q^{98} +(4.97732 + 15.9537i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

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