LMFDB - Embedded newform 273.2.by.c.97.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(76,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 6, 7]))

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

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

chi := DirichletCharacter("273.76");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.by (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$8$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			97.8
Character	$\chi$	$=$	273.97
Dual form			273.2.by.c.76.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.687394 + 2.56539i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-4.37666 + 2.52687i) q^{4} +(1.17771 + 1.17771i) q^{5} +(-0.687394 + 2.56539i) q^{6} +(2.40809 - 1.09594i) q^{7} +(-5.73490 - 5.73490i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(q+(0.687394 + 2.56539i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-4.37666 + 2.52687i) q^{4} +(1.17771 + 1.17771i) q^{5} +(-0.687394 + 2.56539i) q^{6} +(2.40809 - 1.09594i) q^{7} +(-5.73490 - 5.73490i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-2.21174 + 3.83085i) q^{10} +(-4.50301 + 1.20658i) q^{11} -5.05373 q^{12} +(3.59585 + 0.264293i) q^{13} +(4.46682 + 5.42436i) q^{14} +(0.431073 + 1.60879i) q^{15} +(5.71638 - 9.90107i) q^{16} +(-3.15625 - 5.46679i) q^{17} +(-1.87800 + 1.87800i) q^{18} +(1.09384 - 4.08225i) q^{19} +(-8.13039 - 2.17853i) q^{20} +(2.63344 + 0.254935i) q^{21} +(-6.19069 - 10.7226i) q^{22} +(3.67599 + 2.12233i) q^{23} +(-2.09912 - 7.83402i) q^{24} -2.22598i q^{25} +(1.79375 + 9.40643i) q^{26} +1.00000i q^{27} +(-7.77012 + 10.8815i) q^{28} +(-0.526889 + 0.912598i) q^{29} +(-3.83085 + 2.21174i) q^{30} +(5.61834 + 5.61834i) q^{31} +(13.6615 + 3.66058i) q^{32} +(-4.50301 - 1.20658i) q^{33} +(11.8549 - 11.8549i) q^{34} +(4.12675 + 1.54534i) q^{35} +(-4.37666 - 2.52687i) q^{36} +(0.572076 - 0.153287i) q^{37} +11.2245 q^{38} +(2.98195 + 2.02681i) q^{39} -13.5081i q^{40} +(-1.24468 + 0.333510i) q^{41} +(1.15620 + 6.93104i) q^{42} +(-9.27990 + 5.35775i) q^{43} +(16.6593 - 16.6593i) q^{44} +(-0.431073 + 1.60879i) q^{45} +(-2.91776 + 10.8892i) q^{46} +(-2.85718 + 2.85718i) q^{47} +(9.90107 - 5.71638i) q^{48} +(4.59783 - 5.27825i) q^{49} +(5.71050 - 1.53012i) q^{50} -6.31250i q^{51} +(-16.4057 + 7.92952i) q^{52} -0.398831 q^{53} +(-2.56539 + 0.687394i) q^{54} +(-6.72427 - 3.88226i) q^{55} +(-20.0953 - 7.52507i) q^{56} +(2.98841 - 2.98841i) q^{57} +(-2.70335 - 0.724361i) q^{58} +(8.26243 + 2.21391i) q^{59} +(-5.95186 - 5.95186i) q^{60} +(-4.22976 + 2.44205i) q^{61} +(-10.5512 + 18.2752i) q^{62} +(2.15316 + 1.53750i) q^{63} +14.6977i q^{64} +(3.92362 + 4.54615i) q^{65} -12.3814i q^{66} +(-2.76762 - 10.3289i) q^{67} +(27.6277 + 15.9509i) q^{68} +(2.12233 + 3.67599i) q^{69} +(-1.12770 + 11.6490i) q^{70} +(4.31760 + 1.15690i) q^{71} +(2.09912 - 7.83402i) q^{72} +(0.935407 - 0.935407i) q^{73} +(0.786484 + 1.36223i) q^{74} +(1.11299 - 1.92775i) q^{75} +(5.52795 + 20.6306i) q^{76} +(-9.52134 + 7.84059i) q^{77} +(-3.14978 + 9.04309i) q^{78} -0.927988 q^{79} +(18.3929 - 4.92836i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-1.71117 - 2.96383i) q^{82} +(-7.79378 - 7.79378i) q^{83} +(-12.1699 + 5.53859i) q^{84} +(2.72115 - 10.1555i) q^{85} +(-20.1237 - 20.1237i) q^{86} +(-0.912598 + 0.526889i) q^{87} +(32.7439 + 18.9047i) q^{88} +(-1.28296 - 4.78807i) q^{89} -4.42348 q^{90} +(8.94880 - 3.30440i) q^{91} -21.4514 q^{92} +(2.05645 + 7.67479i) q^{93} +(-9.29378 - 5.36577i) q^{94} +(6.09595 - 3.51950i) q^{95} +(10.0009 + 10.0009i) q^{96} +(1.65635 - 6.18160i) q^{97} +(16.7013 + 8.16698i) q^{98} +(-3.29643 - 3.29643i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q - 2 q^{2} + 6 q^{4} - 2 q^{5} + 2 q^{6} - 2 q^{7} + 2 q^{8} + 16 q^{9}+O(q^{10}) $ 32 * q - 2 * q^2 + 6 * q^4 - 2 * q^5 + 2 * q^6 - 2 * q^7 + 2 * q^8 + 16 * q^9	$ 32 q - 2 q^{2} + 6 q^{4} - 2 q^{5} + 2 q^{6} - 2 q^{7} + 2 q^{8} + 16 q^{9} - 2 q^{10} - 4 q^{11} - 32 q^{12} - 6 q^{13} + 34 q^{14} + 4 q^{15} + 14 q^{16} + 8 q^{17} + 2 q^{18} - 2 q^{19} - 44 q^{20} + 2 q^{21} - 4 q^{22} - 18 q^{23} - 4 q^{24} + 28 q^{26} - 18 q^{28} - 18 q^{29} + 14 q^{31} - 8 q^{32} - 4 q^{33} + 66 q^{34} - 20 q^{35} + 6 q^{36} - 24 q^{37} - 24 q^{38} + 8 q^{39} + 16 q^{42} - 6 q^{43} - 20 q^{44} - 4 q^{45} - 58 q^{46} + 28 q^{47} + 60 q^{48} + 10 q^{49} + 70 q^{50} - 28 q^{52} - 80 q^{53} + 4 q^{54} - 60 q^{55} - 120 q^{56} + 16 q^{57} - 4 q^{58} + 42 q^{59} - 58 q^{60} - 36 q^{61} - 52 q^{62} + 2 q^{63} + 14 q^{65} + 26 q^{67} + 72 q^{68} - 2 q^{69} + 68 q^{70} - 4 q^{71} + 4 q^{72} - 12 q^{73} - 18 q^{74} - 16 q^{75} + 48 q^{76} - 28 q^{77} - 14 q^{78} - 4 q^{79} + 98 q^{80} - 16 q^{81} - 20 q^{82} + 36 q^{83} + 32 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} + 54 q^{89} - 4 q^{90} - 54 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} - 22 q^{96} + 40 q^{97} + 4 q^{99}+O(q^{100}) $ 32 * q - 2 * q^2 + 6 * q^4 - 2 * q^5 + 2 * q^6 - 2 * q^7 + 2 * q^8 + 16 * q^9 - 2 * q^10 - 4 * q^11 - 32 * q^12 - 6 * q^13 + 34 * q^14 + 4 * q^15 + 14 * q^16 + 8 * q^17 + 2 * q^18 - 2 * q^19 - 44 * q^20 + 2 * q^21 - 4 * q^22 - 18 * q^23 - 4 * q^24 + 28 * q^26 - 18 * q^28 - 18 * q^29 + 14 * q^31 - 8 * q^32 - 4 * q^33 + 66 * q^34 - 20 * q^35 + 6 * q^36 - 24 * q^37 - 24 * q^38 + 8 * q^39 + 16 * q^42 - 6 * q^43 - 20 * q^44 - 4 * q^45 - 58 * q^46 + 28 * q^47 + 60 * q^48 + 10 * q^49 + 70 * q^50 - 28 * q^52 - 80 * q^53 + 4 * q^54 - 60 * q^55 - 120 * q^56 + 16 * q^57 - 4 * q^58 + 42 * q^59 - 58 * q^60 - 36 * q^61 - 52 * q^62 + 2 * q^63 + 14 * q^65 + 26 * q^67 + 72 * q^68 - 2 * q^69 + 68 * q^70 - 4 * q^71 + 4 * q^72 - 12 * q^73 - 18 * q^74 - 16 * q^75 + 48 * q^76 - 28 * q^77 - 14 * q^78 - 4 * q^79 + 98 * q^80 - 16 * q^81 - 20 * q^82 + 36 * q^83 + 32 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 + 54 * q^89 - 4 * q^90 - 54 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 - 22 * q^96 + 40 * q^97 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{5}{12}\right)$	$-1$

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 $

$2$	0.687394	+	2.56539i	0.486061	+	1.81400i	0.575235	+	0.817988i	$0.304911\pi$
$2$	0.687394	+	2.56539i	0.486061	+	1.81400i	−0.0891737	+	0.996016i	$0.528423\pi$
$3$	0.866025	+	0.500000i	0.500000	+	0.288675i
$3$	0.866025	+	0.500000i	0.500000	+	0.288675i
$4$	−4.37666	+	2.52687i	−2.18833	+	1.26343i
$5$	1.17771	+	1.17771i	0.526690	+	0.526690i	0.919584	−	0.392894i	$-0.128526\pi$
$5$	1.17771	+	1.17771i	0.526690	+	0.526690i	−0.392894	+	0.919584i	$0.628526\pi$
$6$	−0.687394	+	2.56539i	−0.280627	+	1.04732i
$7$	2.40809	−	1.09594i	0.910174	−	0.414227i
$7$	2.40809	−	1.09594i	0.910174	−	0.414227i
$8$	−5.73490	−	5.73490i	−2.02759	−	2.02759i
$9$	0.500000	+	0.866025i	0.166667	+	0.288675i
$10$	−2.21174	+	3.83085i	−0.699414	+	1.21142i
$11$	−4.50301	+	1.20658i	−1.35771	+	0.363797i	−0.862975	−	0.505247i	$-0.831401\pi$
$11$	−4.50301	+	1.20658i	−1.35771	+	0.363797i	−0.494734	+	0.869044i	$0.664735\pi$
$12$	−5.05373			−1.45889
$13$	3.59585	+	0.264293i	0.997310	+	0.0733017i
$13$	3.59585	+	0.264293i	0.997310	+	0.0733017i
$14$	4.46682	+	5.42436i	1.19381	+	1.44972i
$15$	0.431073	+	1.60879i	0.111303	+	0.415387i
$16$	5.71638	−	9.90107i	1.42910	−	2.47527i
$17$	−3.15625	−	5.46679i	−0.765503	−	1.32589i	−0.939980	−	0.341230i	$-0.889157\pi$
$17$	−3.15625	−	5.46679i	−0.765503	−	1.32589i	0.174476	−	0.984661i	$-0.444177\pi$
$18$	−1.87800	+	1.87800i	−0.442648	+	0.442648i
$19$	1.09384	−	4.08225i	0.250943	−	0.936532i	−0.719360	−	0.694638i	$-0.755565\pi$
$19$	1.09384	−	4.08225i	0.250943	−	0.936532i	0.970303	−	0.241894i	$-0.0777687\pi$
$20$	−8.13039	−	2.17853i	−1.81801	−	0.487134i
$21$	2.63344	+	0.254935i	0.574664	+	0.0556313i
$22$	−6.19069	−	10.7226i	−1.31986	−	2.28606i
$23$	3.67599	+	2.12233i	0.766496	+	0.442537i	0.831623	−	0.555340i	$-0.187412\pi$
$23$	3.67599	+	2.12233i	0.766496	+	0.442537i	−0.0651270	+	0.997877i	$0.520745\pi$
$24$	−2.09912	−	7.83402i	−0.428481	−	1.59911i
$25$		−	2.22598i		−	0.445196i
$26$	1.79375	+	9.40643i	0.351784	+	1.84475i
$27$			1.00000i			0.192450i
$28$	−7.77012	+	10.8815i	−1.46841	+	2.05641i
$29$	−0.526889	+	0.912598i	−0.0978408	+	0.169465i	−0.910791	−	0.412868i	$-0.864527\pi$
$29$	−0.526889	+	0.912598i	−0.0978408	+	0.169465i	0.812950	+	0.582334i	$0.197860\pi$
$30$	−3.83085	+	2.21174i	−0.699414	+	0.403807i
$31$	5.61834	+	5.61834i	1.00908	+	1.00908i	0.999958	+	0.00912491i	$0.00290459\pi$
$31$	5.61834	+	5.61834i	1.00908	+	1.00908i	0.00912491	+	0.999958i	$0.497095\pi$
$32$	13.6615	+	3.66058i	2.41503	+	0.647105i
$33$	−4.50301	−	1.20658i	−0.783874	−	0.210038i
$34$	11.8549	−	11.8549i	2.03309	−	2.03309i
$35$	4.12675	+	1.54534i	0.697548	+	0.261210i
$36$	−4.37666	−	2.52687i	−0.729444	−	0.421145i
$37$	0.572076	−	0.153287i	0.0940488	−	0.0252003i	−0.211488	−	0.977381i	$-0.567831\pi$
$37$	0.572076	−	0.153287i	0.0940488	−	0.0252003i	0.305537	+	0.952180i	$0.401164\pi$
$38$	11.2245			1.82085
$39$	2.98195	+	2.02681i	0.477495	+	0.324549i
$40$		−	13.5081i		−	2.13583i
$41$	−1.24468	+	0.333510i	−0.194386	+	0.0520856i	−0.354698	−	0.934981i	$-0.615416\pi$
$41$	−1.24468	+	0.333510i	−0.194386	+	0.0520856i	0.160312	+	0.987066i	$0.448750\pi$
$42$	1.15620	+	6.93104i	0.178406	+	1.06948i
$43$	−9.27990	+	5.35775i	−1.41517	+	0.817050i	−0.995869	−	0.0907973i	$-0.971058\pi$
$43$	−9.27990	+	5.35775i	−1.41517	+	0.817050i	−0.419302	+	0.907847i	$0.637725\pi$
$44$	16.6593	−	16.6593i	2.51148	−	2.51148i
$45$	−0.431073	+	1.60879i	−0.0642606	+	0.239824i
$46$	−2.91776	+	10.8892i	−0.430200	+	1.60553i
$47$	−2.85718	+	2.85718i	−0.416762	+	0.416762i	−0.884086	−	0.467324i	$-0.845218\pi$
$47$	−2.85718	+	2.85718i	−0.416762	+	0.416762i	0.467324	+	0.884086i	$0.345218\pi$
$48$	9.90107	−	5.71638i	1.42910	−	0.825089i
$49$	4.59783	−	5.27825i	0.656833	−	0.754036i
$50$	5.71050	−	1.53012i	0.807587	−	0.216392i
$51$		−	6.31250i		−	0.883927i
$52$	−16.4057	+	7.92952i	−2.27506	+	1.09963i
$53$	−0.398831			−0.0547836			−0.0273918	−	0.999625i	$-0.508720\pi$
$53$	−0.398831			−0.0547836			−0.0273918	+	0.999625i	$0.508720\pi$
$54$	−2.56539	+	0.687394i	−0.349105	+	0.0935425i
$55$	−6.72427	−	3.88226i	−0.906700	−	0.523483i
$56$	−20.0953	−	7.52507i	−2.68535	−	1.00558i
$57$	2.98841	−	2.98841i	0.395825	−	0.395825i
$58$	−2.70335	−	0.724361i	−0.354967	−	0.0951132i
$59$	8.26243	+	2.21391i	1.07568	+	0.288227i	0.752824	−	0.658222i	$-0.228691\pi$
$59$	8.26243	+	2.21391i	1.07568	+	0.288227i	0.322854	+	0.946449i	$0.395358\pi$
$60$	−5.95186	−	5.95186i	−0.768381	−	0.768381i
$61$	−4.22976	+	2.44205i	−0.541565	+	0.312673i	−0.745713	−	0.666267i	$-0.767891\pi$
$61$	−4.22976	+	2.44205i	−0.541565	+	0.312673i	0.204148	+	0.978940i	$0.434558\pi$
$62$	−10.5512	+	18.2752i	−1.34001	+	2.32096i
$63$	2.15316	+	1.53750i	0.271273	+	0.193707i
$64$			14.6977i			1.83721i
$65$	3.92362	+	4.54615i	0.486666	+	0.563880i
$66$		−	12.3814i		−	1.52404i
$67$	−2.76762	−	10.3289i	−0.338118	−	1.26188i	−0.900449	−	0.434962i	$-0.856762\pi$
$67$	−2.76762	−	10.3289i	−0.338118	−	1.26188i	0.562330	−	0.826913i	$-0.309905\pi$
$68$	27.6277	+	15.9509i	3.35035	+	1.93433i
$69$	2.12233	+	3.67599i	0.255499	+	0.442537i
$70$	−1.12770	+	11.6490i	−0.134786	+	1.39232i
$71$	4.31760	+	1.15690i	0.512405	+	0.137298i	0.505751	−	0.862679i	$-0.331215\pi$
$71$	4.31760	+	1.15690i	0.512405	+	0.137298i	0.00665372	+	0.999978i	$0.497882\pi$
$72$	2.09912	−	7.83402i	0.247384	−	0.923248i
$73$	0.935407	−	0.935407i	0.109481	−	0.109481i	−0.650244	−	0.759725i	$-0.725333\pi$
$73$	0.935407	−	0.935407i	0.109481	−	0.109481i	0.759725	+	0.650244i	$0.225333\pi$
$74$	0.786484	+	1.36223i	0.0914269	+	0.158356i
$75$	1.11299	−	1.92775i	0.128517	−	0.222598i
$76$	5.52795	+	20.6306i	0.634100	+	2.36649i
$77$	−9.52134	+	7.84059i	−1.08506	+	0.893518i
$78$	−3.14978	+	9.04309i	−0.356643	+	1.02393i
$79$	−0.927988			−0.104407			−0.0522034	−	0.998636i	$-0.516624\pi$
$79$	−0.927988			−0.104407			−0.0522034	+	0.998636i	$0.516624\pi$
$80$	18.3929	−	4.92836i	2.05639	−	0.551008i
$81$	−0.500000	+	0.866025i	−0.0555556	+	0.0962250i
$82$	−1.71117	−	2.96383i	−0.188967	−	0.327300i
$83$	−7.79378	−	7.79378i	−0.855479	−	0.855479i	0.135323	−	0.990802i	$-0.456793\pi$
$83$	−7.79378	−	7.79378i	−0.855479	−	0.855479i	−0.990802	+	0.135323i	$0.956793\pi$
$84$	−12.1699	+	5.53859i	−1.32784	+	0.604310i
$85$	2.72115	−	10.1555i	0.295150	−	1.10152i
$86$	−20.1237	−	20.1237i	−2.16999	−	2.16999i
$87$	−0.912598	+	0.526889i	−0.0978408	+	0.0564884i
$88$	32.7439	+	18.9047i	3.49052	+	2.01525i
$89$	−1.28296	−	4.78807i	−0.135993	−	0.507534i	−0.999992	−	0.00403982i	$-0.998714\pi$
$89$	−1.28296	−	4.78807i	−0.135993	−	0.507534i	0.863998	−	0.503495i	$-0.167953\pi$
$90$	−4.42348			−0.466276
$91$	8.94880	−	3.30440i	0.938089	−	0.346395i
$92$	−21.4514			−2.23646
$93$	2.05645	+	7.67479i	0.213244	+	0.795839i
$94$	−9.29378	−	5.36577i	−0.958580	−	0.553436i
$95$	6.09595	−	3.51950i	0.625431	−	0.361093i
$96$	10.0009	+	10.0009i	1.02071	+	1.02071i
$97$	1.65635	−	6.18160i	0.168177	−	0.627646i	−0.829436	−	0.558601i	$-0.811338\pi$
$97$	1.65635	−	6.18160i	0.168177	−	0.627646i	0.997614	−	0.0690447i	$-0.0219951\pi$
$98$	16.7013	+	8.16698i	1.68709	+	0.824990i
$99$	−3.29643	−	3.29643i	−0.331304	−	0.331304i
$100$	5.62475	+	9.74235i	0.562475	+	0.974235i
$101$	0.472587	−	0.818544i	0.0470241	−	0.0814482i	−0.841555	−	0.540171i	$-0.818360\pi$
$101$	0.472587	−	0.818544i	0.0470241	−	0.0814482i	0.888579	+	0.458723i	$0.151693\pi$
$102$	16.1940	−	4.33918i	1.60345	−	0.429643i
$103$	8.04965			0.793156			0.396578	−	0.918001i	$-0.370198\pi$
$103$	8.04965			0.793156			0.396578	+	0.918001i	$0.370198\pi$
$104$	−19.1062	−	22.1375i	−1.87351	−	2.17077i
$105$	2.80120	+	3.40168i	0.273369	+	0.331970i
$106$	−0.274154	−	1.02316i	−0.0266282	−	0.0993777i
$107$	−8.52440	+	14.7647i	−0.824085	+	1.42736i	0.0785320	+	0.996912i	$0.474977\pi$
$107$	−8.52440	+	14.7647i	−0.824085	+	1.42736i	−0.902617	+	0.430445i	$0.858357\pi$
$108$	−2.52687	−	4.37666i	−0.243148	−	0.421145i
$109$	1.56781	−	1.56781i	0.150169	−	0.150169i	−0.628025	−	0.778193i	$-0.716136\pi$
$109$	1.56781	−	1.56781i	0.150169	−	0.150169i	0.778193	+	0.628025i	$0.216136\pi$
$110$	5.33728	−	19.9190i	0.508890	−	1.89920i
$111$	0.572076	+	0.153287i	0.0542991	+	0.0145494i
$112$	2.91461	−	30.1075i	0.275405	−	2.84489i
$113$	−3.02535	−	5.24006i	−0.284601	−	0.492943i	0.687911	−	0.725795i	$-0.258528\pi$
$113$	−3.02535	−	5.24006i	−0.284601	−	0.492943i	−0.972512	+	0.232852i	$0.925194\pi$
$114$	9.72066	+	5.61223i	0.910423	+	0.525633i
$115$	1.82976	+	6.82876i	0.170626	+	0.636786i
$116$		−	5.32551i		−	0.494462i
$117$	1.56904	+	3.24625i	0.145058	+	0.300115i
$118$			22.7182i			2.09138i
$119$	−13.5918	−	9.70547i	−1.24596	−	0.889699i
$120$	6.75407	−	11.6984i	0.616560	−	1.06791i
$121$	9.29500	−	5.36647i	0.845000	−	0.487861i
$122$	−9.17232	−	9.17232i	−0.830423	−	0.830423i
$123$	−1.24468	−	0.333510i	−0.112229	−	0.0300716i
$124$	−38.7864	−	10.3928i	−3.48312	−	0.933299i
$125$	8.51014	−	8.51014i	0.761170	−	0.761170i
$126$	−2.46422	+	6.58056i	−0.219530	+	0.586243i
$127$	−1.60575	−	0.927079i	−0.142487	−	0.0822650i	0.427062	−	0.904222i	$-0.359549\pi$
$127$	−1.60575	−	0.927079i	−0.142487	−	0.0822650i	−0.569549	+	0.821958i	$0.692882\pi$
$128$	−10.3824	+	2.78196i	−0.917684	+	0.245893i
$129$	−10.7155			−0.943448
$130$	−8.96556	+	13.1906i	−0.786332	+	1.15689i
$131$			4.94735i			0.432252i	0.976365	+	0.216126i	$0.0693422\pi$
$131$			4.94735i			0.432252i	−0.976365	+	0.216126i	$0.930658\pi$
$132$	22.7570	−	6.09773i	1.98075	−	0.530739i
$133$	−1.83984	−	11.0292i	−0.159535	−	0.956354i
$134$	24.5952	−	14.2000i	2.12470	−	1.22670i
$135$	−1.17771	+	1.17771i	−0.101362	+	0.101362i
$136$	−13.2507	+	49.4523i	−1.13624	+	4.24050i
$137$	1.82558	−	6.81316i	0.155970	−	0.582088i	−0.843050	−	0.537834i	$-0.819243\pi$
$137$	1.82558	−	6.81316i	0.155970	−	0.582088i	0.999020	−	0.0442531i	$-0.0140908\pi$
$138$	−7.97146	+	7.97146i	−0.678576	+	0.678576i
$139$	−10.4051	+	6.00737i	−0.882547	+	0.509539i	−0.871497	−	0.490400i	$-0.836851\pi$
$139$	−10.4051	+	6.00737i	−0.882547	+	0.509539i	−0.0110494	+	0.999939i	$0.503517\pi$
$140$	−21.9663	+	3.66431i	−1.85649	+	0.309691i
$141$	−3.90298	+	1.04580i	−0.328690	+	0.0880722i
$142$			11.8716i			0.996240i
$143$	−16.5111	+	3.14856i	−1.38072	+	0.263296i
$144$	11.4328			0.952731
$145$	−1.69530	+	0.454256i	−0.140787	+	0.0377239i
$146$	3.04268	+	1.75669i	0.251814	+	0.145385i
$147$	6.62096	−	2.27219i	0.546088	−	0.187407i
$148$	−2.11645	+	2.11645i	−0.173971	+	0.173971i
$149$	−4.76731	−	1.27740i	−0.390553	−	0.104648i	0.0581981	−	0.998305i	$-0.481465\pi$
$149$	−4.76731	−	1.27740i	−0.390553	−	0.104648i	−0.448752	+	0.893657i	$0.648131\pi$
$150$	5.71050	+	1.53012i	0.466260	+	0.124934i
$151$	−13.7886	−	13.7886i	−1.12210	−	1.12210i	−0.991425	−	0.130675i	$-0.958286\pi$
$151$	−13.7886	−	13.7886i	−1.12210	−	1.12210i	−0.130675	−	0.991425i	$-0.541714\pi$
$152$	−29.6843	+	17.1383i	−2.40772	+	1.39010i
$153$	3.15625	−	5.46679i	0.255168	−	0.441964i
$154$	−26.6591	−	19.0364i	−2.14825	−	1.53399i
$155$			13.2336i			1.06295i
$156$	−18.1725	−	1.33567i	−1.45496	−	0.106939i
$157$		−	19.9821i		−	1.59474i	−0.603489	−	0.797371i	$-0.706223\pi$
$157$		−	19.9821i		−	1.59474i	0.603489	−	0.797371i	$-0.293777\pi$
$158$	−0.637894	−	2.38065i	−0.0507481	−	0.189394i
$159$	−0.345397	−	0.199415i	−0.0273918	−	0.0158147i
$160$	11.7782	+	20.4004i	0.931147	+	1.61279i
$161$	11.1781	+	1.08211i	0.880955	+	0.0852824i
$162$	−2.56539	−	0.687394i	−0.201556	−	0.0540068i
$163$	−1.46606	+	5.47141i	−0.114831	+	0.428554i	−0.999274	−	0.0380934i	$-0.987872\pi$
$163$	−1.46606	+	5.47141i	−0.114831	+	0.428554i	0.884444	+	0.466647i	$0.154538\pi$
$164$	4.60480	−	4.60480i	0.359574	−	0.359574i
$165$	−3.88226	−	6.72427i	−0.302233	−	0.523483i
$166$	14.6367	−	25.3515i	1.13603	−	1.96766i
$167$	−1.10228	−	4.11377i	−0.0852972	−	0.318333i	0.910073	−	0.414448i	$-0.136025\pi$
$167$	−1.10228	−	4.11377i	−0.0852972	−	0.318333i	−0.995370	+	0.0961143i	$0.969359\pi$
$168$	−13.6405	−	16.5645i	−1.05239	−	1.27798i
$169$	12.8603	+	1.90072i	0.989254	+	0.146209i
$170$	27.9233			2.14162
$171$	4.08225	−	1.09384i	0.312177	−	0.0836477i
$172$	27.0767	−	46.8982i	2.06458	−	3.57595i
$173$	−0.873930	−	1.51369i	−0.0664437	−	0.115084i	0.830890	−	0.556437i	$-0.187832\pi$
$173$	−0.873930	−	1.51369i	−0.0664437	−	0.115084i	−0.897333	+	0.441353i	$0.854499\pi$
$174$	−1.97899	−	1.97899i	−0.150027	−	0.150027i
$175$	−2.43954	−	5.36036i	−0.184412	−	0.405205i
$176$	−13.7945	+	51.4819i	−1.03980	+	3.88059i
$177$	6.04852	+	6.04852i	0.454635	+	0.454635i
$178$	11.4014	−	6.58258i	0.854568	−	0.493385i
$179$	−19.7578	−	11.4072i	−1.47677	−	0.852613i	−0.477113	−	0.878842i	$-0.658317\pi$
$179$	−19.7578	−	11.4072i	−1.47677	−	0.852613i	−0.999656	+	0.0262285i	$0.991650\pi$
$180$	−2.17853	−	8.13039i	−0.162378	−	0.606003i
$181$	−13.7425			−1.02147			−0.510737	−	0.859737i	$-0.670628\pi$
$181$	−13.7425			−1.02147			−0.510737	+	0.859737i	$0.670628\pi$
$182$	14.6284	+	20.6857i	1.08433	+	1.53333i
$183$	−4.88410			−0.361043
$184$	−8.91006	−	33.2528i	−0.656858	−	2.45143i
$185$	0.854271	+	0.493214i	0.0628073	+	0.0362618i
$186$	−18.2752	+	10.5512i	−1.34001	+	0.773653i
$187$	20.8087	+	20.8087i	1.52169	+	1.52169i
$188$	5.28519	−	19.7246i	0.385462	−	1.43856i
$189$	1.09594	+	2.40809i	0.0797179	+	0.175163i
$190$	13.2192	+	13.2192i	0.959021	+	0.959021i
$191$	6.02586	+	10.4371i	0.436016	+	0.755201i	0.997378	−	0.0723688i	$-0.0230559\pi$
$191$	6.02586	+	10.4371i	0.436016	+	0.755201i	−0.561362	+	0.827570i	$0.689723\pi$
$192$	−7.34885	+	12.7286i	−0.530358	+	0.918606i
$193$	−4.42174	+	1.18480i	−0.318284	+	0.0852838i	−0.414424	−	0.910084i	$-0.636017\pi$
$193$	−4.42174	+	1.18480i	−0.318284	+	0.0852838i	0.0961404	+	0.995368i	$0.469350\pi$
$194$	16.9968			1.22030
$195$	1.12488	+	5.89889i	0.0805546	+	0.422428i
$196$	−6.78570	+	34.7192i	−0.484693	+	2.47995i
$197$	5.05766	+	18.8754i	0.360343	+	1.34482i	0.873625	+	0.486599i	$0.161763\pi$
$197$	5.05766	+	18.8754i	0.360343	+	1.34482i	−0.513282	+	0.858220i	$0.671570\pi$
$198$	6.19069	−	10.7226i	0.439953	−	0.762021i
$199$	12.2497	+	21.2170i	0.868355	+	1.50403i	0.863677	+	0.504046i	$0.168156\pi$
$199$	12.2497	+	21.2170i	0.868355	+	1.50403i	0.00467796	+	0.999989i	$0.498511\pi$
$200$	−12.7658	+	12.7658i	−0.902676	+	0.902676i
$201$	2.76762	−	10.3289i	0.195213	−	0.728544i
$202$	2.42474	+	0.649707i	0.170604	+	0.0457132i
$203$	−0.268644	+	2.77506i	−0.0188551	+	0.194771i
$204$	15.9509	+	27.6277i	1.11678	+	1.93433i
$205$	−1.85865	−	1.07309i	−0.129814	−	0.0749482i
$206$	5.53328	+	20.6505i	0.385522	+	1.43879i
$207$			4.24466i			0.295025i
$208$	23.1721	−	34.0920i	1.60669	−	2.36385i
$209$			19.7022i			1.36283i
$210$	−6.80111	+	9.52447i	−0.469321	+	0.657251i
$211$	−11.4160	+	19.7731i	−0.785910	+	1.36124i	0.142544	+	0.989788i	$0.454472\pi$
$211$	−11.4160	+	19.7731i	−0.785910	+	1.36124i	−0.928454	+	0.371448i	$0.878862\pi$
$212$	1.74555	−	1.00779i	0.119885	−	0.0692154i
$213$	3.16070	+	3.16070i	0.216568	+	0.216568i
$214$	−43.7368	−	11.7192i	−2.98979	−	0.801111i
$215$	−17.2390	−	4.61917i	−1.17569	−	0.315025i
$216$	5.73490	−	5.73490i	0.390211	−	0.390211i
$217$	19.6868	+	7.37212i	1.33643	+	0.500452i
$218$	5.09973	+	2.94433i	0.345397	+	0.199415i
$219$	1.27779	−	0.342383i	0.0863450	−	0.0231361i
$220$	39.2398			2.64555
$221$	−9.90458	−	20.4919i	−0.666254	−	1.37844i
$222$			1.57297i			0.105571i
$223$	12.2434	−	3.28062i	0.819881	−	0.219686i	0.175586	−	0.984464i	$-0.443818\pi$
$223$	12.2434	−	3.28062i	0.819881	−	0.219686i	0.644294	+	0.764778i	$0.277151\pi$
$224$	36.9099	−	6.15713i	2.46614	−	0.411391i
$225$	1.92775	−	1.11299i	0.128517	−	0.0741993i
$226$	11.3632	−	11.3632i	0.755868	−	0.755868i
$227$	2.99465	−	11.1762i	0.198762	−	0.741790i	−0.792499	−	0.609874i	$-0.791220\pi$
$227$	2.99465	−	11.1762i	0.198762	−	0.741790i	0.991261	−	0.131917i	$-0.0421131\pi$
$228$	−5.52795	+	20.6306i	−0.366098	+	1.36629i
$229$	−9.10742	+	9.10742i	−0.601835	+	0.601835i	−0.940799	−	0.338964i	$-0.889923\pi$
$229$	−9.10742	+	9.10742i	−0.601835	+	0.601835i	0.338964	+	0.940799i	$0.389923\pi$
$230$	−16.2607	+	9.38810i	−1.07220	+	0.619033i
$231$	−12.1660	+	2.02948i	−0.800465	+	0.133530i
$232$	8.25532	−	2.21201i	0.541988	−	0.145225i
$233$		−	1.49633i		−	0.0980277i	−0.998798	−	0.0490139i	$-0.984392\pi$
$233$		−	1.49633i		−	0.0980277i	0.998798	−	0.0490139i	$-0.0156079\pi$
$234$	−7.24933	+	6.25665i	−0.473904	+	0.409010i
$235$	−6.72988			−0.439009
$236$	−41.7562	+	11.1885i	−2.71809	+	0.728311i
$237$	−0.803661	−	0.463994i	−0.0522034	−	0.0301397i
$238$	15.5554	−	41.5398i	1.00831	−	2.69263i
$239$	−3.19313	+	3.19313i	−0.206546	+	0.206546i	−0.802798	−	0.596252i	$-0.796656\pi$
$239$	−3.19313	+	3.19313i	−0.206546	+	0.206546i	0.596252	+	0.802798i	$0.296656\pi$
$240$	18.3929	+	4.92836i	1.18726	+	0.318124i
$241$	−9.27435	−	2.48506i	−0.597414	−	0.160076i	−0.0525744	−	0.998617i	$-0.516743\pi$
$241$	−9.27435	−	2.48506i	−0.597414	−	0.160076i	−0.544839	+	0.838541i	$0.683409\pi$
$242$	20.1564	+	20.1564i	1.29570	+	1.29570i
$243$	−0.866025	+	0.500000i	−0.0555556	+	0.0320750i
$244$	12.3415	−	21.3761i	0.790082	−	1.36846i
$245$	11.6312	−	0.801346i	0.743090	−	0.0511961i
$246$		−	3.42234i		−	0.218200i
$247$	5.01218	−	14.3901i	0.318917	−	0.915618i
$248$		−	64.4412i		−	4.09202i
$249$	−2.85272	−	10.6465i	−0.180784	−	0.674695i
$250$	27.6816	+	15.9820i	1.75074	+	1.01079i
$251$	12.9361	+	22.4061i	0.816522	+	1.41426i	0.908230	+	0.418472i	$0.137434\pi$
$251$	12.9361	+	22.4061i	0.816522	+	1.41426i	−0.0917077	+	0.995786i	$0.529233\pi$
$252$	−13.3087	−	1.28837i	−0.838370	−	0.0811598i
$253$	−19.1138	−	5.12152i	−1.20167	−	0.321987i
$254$	1.27454	−	4.75664i	0.0799716	−	0.298458i
$255$	7.43433	−	7.43433i	0.465556	−	0.465556i
$256$	0.424093	+	0.734550i	0.0265058	+	0.0459094i
$257$	11.4386	−	19.8122i	0.713518	−	1.23585i	−0.250011	−	0.968243i	$-0.580434\pi$
$257$	11.4386	−	19.8122i	0.713518	−	1.23585i	0.963528	−	0.267606i	$-0.0862326\pi$
$258$	−7.36577	−	27.4894i	−0.458573	−	1.71142i
$259$	1.20962	−	0.996092i	0.0751621	−	0.0618941i
$260$	−28.6599	−	9.98248i	−1.77741	−	0.619087i
$261$	−1.05378			−0.0652272
$262$	−12.6919	+	3.40078i	−0.784107	+	0.210101i
$263$	−10.9168	+	18.9085i	−0.673160	+	1.16595i	0.303844	+	0.952722i	$0.401730\pi$
$263$	−10.9168	+	18.9085i	−0.673160	+	1.16595i	−0.977003	+	0.213225i	$0.931603\pi$
$264$	18.9047	+	32.7439i	1.16351	+	2.01525i
$265$	−0.469709	−	0.469709i	−0.0288540	−	0.0288540i
$266$	27.0295	−	12.3013i	1.65729	−	0.754243i
$267$	1.28296	−	4.78807i	0.0785158	−	0.293025i
$268$	38.2127	+	38.2127i	2.33421	+	2.33421i
$269$	−5.09171	+	2.93970i	−0.310447	+	0.179237i	−0.647127	−	0.762383i	$-0.724029\pi$
$269$	−5.09171	+	2.93970i	−0.310447	+	0.179237i	0.336679	+	0.941619i	$0.390696\pi$
$270$	−3.83085	−	2.21174i	−0.233138	−	0.134602i
$271$	1.80033	+	6.71891i	0.109362	+	0.408145i	0.998803	−	0.0489044i	$-0.0155730\pi$
$271$	1.80033	+	6.71891i	0.109362	+	0.408145i	−0.889441	+	0.457049i	$0.848906\pi$
$272$	−72.1694			−4.37591
$273$	9.40208	+	1.61271i	0.569040	+	0.0976055i
$274$	18.7333			1.13172
$275$	2.68582	+	10.0236i	0.161961	+	0.604446i
$276$	−18.5775	−	10.7257i	−1.11823	−	0.645612i
$277$	10.7111	−	6.18406i	0.643568	−	0.371564i	−0.142420	−	0.989806i	$-0.545488\pi$
$277$	10.7111	−	6.18406i	0.643568	−	0.371564i	0.785988	+	0.618242i	$0.212155\pi$
$278$	−22.5636	−	22.5636i	−1.35328	−	1.35328i
$279$	−2.05645	+	7.67479i	−0.123117	+	0.459478i
$280$	−14.8041	−	32.5289i	−0.884716	−	1.94397i
$281$	−15.6520	−	15.6520i	−0.933721	−	0.933721i	0.0642154	−	0.997936i	$-0.479546\pi$
$281$	−15.6520	−	15.6520i	−0.933721	−	0.933721i	−0.997936	+	0.0642154i	$0.979546\pi$
$282$	−5.36577	−	9.29378i	−0.319527	−	0.553436i
$283$	−14.3579	+	24.8687i	−0.853490	+	1.47829i	0.0245489	+	0.999699i	$0.492185\pi$
$283$	−14.3579	+	24.8687i	−0.853490	+	1.47829i	−0.878039	+	0.478589i	$0.841148\pi$
$284$	−21.8200	+	5.84665i	−1.29478	+	0.346935i
$285$	7.03899			0.416954
$286$	−19.4269	−	40.1930i	−1.14874	−	2.37666i
$287$	−2.63179	+	2.16722i	−0.155350	+	0.127927i
$288$	3.66058	+	13.6615i	0.215702	+	0.805009i
$289$	−11.4238	+	19.7867i	−0.671991	+	1.16392i
$290$	−2.33069	−	4.03687i	−0.136863	−	0.237053i
$291$	4.52524	−	4.52524i	0.265274	−	0.265274i
$292$	−1.73031	+	6.45761i	−0.101259	+	0.377903i
$293$	22.3231	+	5.98146i	1.30413	+	0.349441i	0.843011	−	0.537897i	$-0.180781\pi$
$293$	22.3231	+	5.98146i	1.30413	+	0.349441i	0.461120	+	0.887338i	$0.347448\pi$
$294$	10.3803	+	15.4235i	0.605389	+	0.899515i
$295$	7.12343	+	12.3381i	0.414742	+	0.718355i
$296$	−4.15989	−	2.40171i	−0.241789	−	0.139597i
$297$	−1.20658	−	4.50301i	−0.0700128	−	0.261291i
$298$		−	13.1081i		−	0.759331i
$299$	12.6574	+	8.60313i	0.731996	+	0.497532i
$300$			11.2495i			0.649490i
$301$	−16.4751	+	23.0722i	−0.949608	+	1.32986i
$302$	25.8949	−	44.8513i	1.49009	−	2.58090i
$303$	0.818544	−	0.472587i	0.0470241	−	0.0271494i
$304$	−34.1658	−	34.1658i	−1.95954	−	1.95954i
$305$	−7.85749	−	2.10541i	−0.449918	−	0.120555i
$306$	16.1940	+	4.33918i	0.925751	+	0.248054i
$307$	5.52660	−	5.52660i	0.315419	−	0.315419i	−0.531585	−	0.847005i	$-0.678404\pi$
$307$	5.52660	−	5.52660i	0.315419	−	0.315419i	0.847005	+	0.531585i	$0.178404\pi$
$308$	21.8596	−	58.3748i	1.24556	−	3.32621i
$309$	6.97120	+	4.02483i	0.396578	+	0.228964i
$310$	−33.9493	+	9.09669i	−1.92819	+	0.516658i
$311$	10.3208			0.585239			0.292620	−	0.956229i	$-0.405473\pi$
$311$	10.3208			0.585239			0.292620	+	0.956229i	$0.405473\pi$
$312$	−5.47764	−	28.7248i	−0.310111	−	1.62622i
$313$			20.9365i			1.18340i	0.806157	+	0.591701i	$0.201543\pi$
$313$			20.9365i			1.18340i	−0.806157	+	0.591701i	$0.798457\pi$
$314$	51.2618	−	13.7356i	2.89287	−	0.775142i
$315$	0.725070	+	4.34654i	0.0408531	+	0.244900i
$316$	4.06149	−	2.34490i	0.228477	−	0.131911i
$317$	8.45606	−	8.45606i	0.474940	−	0.474940i	−0.428569	−	0.903509i	$-0.640982\pi$
$317$	8.45606	−	8.45606i	0.474940	−	0.474940i	0.903509	+	0.428569i	$0.140982\pi$
$318$	0.274154	−	1.02316i	0.0153738	−	0.0573757i
$319$	1.27147	−	4.74517i	0.0711884	−	0.265679i
$320$	−17.3097	+	17.3097i	−0.967641	+	0.967641i
$321$	−14.7647	+	8.52440i	−0.824085	+	0.475786i
$322$	4.90770	+	29.4199i	0.273496	+	1.63951i
$323$	−25.7692	+	6.90484i	−1.43384	+	0.384195i
$324$		−	5.05373i		−	0.280763i
$325$	0.588311	−	8.00429i	0.0326336	−	0.443998i
$326$	−15.0441			−0.833213
$327$	2.14166	−	0.573857i	0.118434	−	0.0317343i
$328$	9.05075	+	5.22545i	0.499744	+	0.288527i
$329$	−3.74905	+	10.0116i	−0.206692	+	0.551960i
$330$	14.5817	−	14.5817i	0.802697	−	0.802697i
$331$	25.0550	+	6.71347i	1.37715	+	0.369006i	0.870084	−	0.492903i	$-0.164064\pi$
$331$	25.0550	+	6.71347i	1.37715	+	0.369006i	0.507064	+	0.861909i	$0.330731\pi$
$332$	53.8046	+	14.4169i	2.95291	+	0.791230i
$333$	0.418789	+	0.418789i	0.0229495	+	0.0229495i
$334$	9.79573	−	5.65557i	0.535999	−	0.309459i
$335$	8.90502	−	15.4240i	0.486533	−	0.842700i
$336$	17.5779	−	24.6166i	0.958952	−	1.34294i
$337$			26.1315i			1.42348i	0.702445	+	0.711738i	$0.252092\pi$
$337$			26.1315i			1.42348i	−0.702445	+	0.711738i	$0.747908\pi$
$338$	3.96401	+	34.2982i	0.215614	+	1.86558i
$339$		−	6.05070i		−	0.328629i
$340$	13.7520	+	51.3231i	0.745806	+	2.78339i
$341$	−32.0784	−	18.5205i	−1.73714	−	1.00294i
$342$	5.61223	+	9.72066i	0.303474	+	0.525633i
$343$	5.28735	−	17.7495i	0.285490	−	0.958382i
$344$	83.9455	+	22.4931i	4.52604	+	1.21275i
$345$	−1.82976	+	6.82876i	−0.0985111	+	0.367648i
$346$	3.28247	−	3.28247i	0.176467	−	0.176467i
$347$	3.74039	+	6.47855i	0.200795	+	0.347787i	0.948785	−	0.315923i	$-0.102314\pi$
$347$	3.74039	+	6.47855i	0.200795	+	0.347787i	−0.747990	+	0.663710i	$0.768981\pi$
$348$	2.66276	−	4.61203i	0.142739	−	0.247231i
$349$	−0.528661	−	1.97299i	−0.0282986	−	0.105612i	0.950332	−	0.311238i	$-0.100744\pi$
$349$	−0.528661	−	1.97299i	−0.0282986	−	0.105612i	−0.978631	+	0.205626i	$0.934077\pi$
$350$	12.0745	−	9.94305i	0.645409	−	0.531478i
$351$	−0.264293	+	3.59585i	−0.0141069	+	0.191932i
$352$	−65.9345			−3.51432
$353$	12.1175	−	3.24687i	0.644949	−	0.172813i	0.0785047	−	0.996914i	$-0.474985\pi$
$353$	12.1175	−	3.24687i	0.644949	−	0.172813i	0.566444	+	0.824100i	$0.308319\pi$
$354$	−11.3591	+	19.6745i	−0.603729	+	1.04569i
$355$	3.72241	+	6.44740i	0.197565	+	0.342192i
$356$	17.7139	+	17.7139i	0.938835	+	0.938835i
$357$	−6.91813	−	15.2011i	−0.366146	−	0.804527i
$358$	15.6825	−	58.5278i	0.828844	−	3.09329i
$359$	−6.92976	−	6.92976i	−0.365739	−	0.365739i	0.500182	−	0.865920i	$-0.333267\pi$
$359$	−6.92976	−	6.92976i	−0.365739	−	0.365739i	−0.865920	+	0.500182i	$0.833267\pi$
$360$	11.6984	−	6.75407i	0.616560	−	0.355971i
$361$	0.986209	+	0.569388i	0.0519057	+	0.0299678i
$362$	−9.44654	−	35.2550i	−0.496499	−	1.85296i
$363$	10.7329			0.563334
$364$	−30.8161	+	37.0747i	−1.61520	+	1.94324i
$365$	2.20328			0.115325
$366$	−3.35730	−	12.5296i	−0.175489	−	0.654934i
$367$	−21.7912	−	12.5811i	−1.13749	−	0.656730i	−0.191682	−	0.981457i	$-0.561394\pi$
$367$	−21.7912	−	12.5811i	−1.13749	−	0.656730i	−0.945808	+	0.324727i	$0.894728\pi$
$368$	42.0267	−	24.2641i	2.19079	−	1.26486i
$369$	−0.911167	−	0.911167i	−0.0474335	−	0.0474335i
$370$	−0.678064	+	2.53057i	−0.0352509	+	0.131558i
$371$	−0.960421	+	0.437095i	−0.0498626	+	0.0226928i
$372$	−28.3936	−	28.3936i	−1.47214	−	1.47214i
$373$	5.81848	+	10.0779i	0.301270	+	0.521814i	0.976424	−	0.215862i	$-0.0692562\pi$
$373$	5.81848	+	10.0779i	0.301270	+	0.521814i	−0.675154	+	0.737677i	$0.735923\pi$
$374$	−39.0787	+	67.6864i	−2.02071	+	3.49998i
$375$	11.6251	−	3.11493i	0.600316	−	0.160854i
$376$	32.7713			1.69005
$377$	−2.13581	+	3.14232i	−0.110000	+	0.161837i
$378$	−5.42436	+	4.46682i	−0.278999	+	0.229749i
$379$	−6.70131	−	25.0096i	−0.344223	−	1.28466i	−0.893517	−	0.449029i	$-0.851770\pi$
$379$	−6.70131	−	25.0096i	−0.344223	−	1.28466i	0.549294	−	0.835629i	$-0.314897\pi$
$380$	−17.7866	+	30.8073i	−0.912434	+	1.58038i
$381$	−0.927079	−	1.60575i	−0.0474957	−	0.0822650i
$382$	−22.6331	+	22.6331i	−1.15801	+	1.15801i
$383$	−2.62259	+	9.78763i	−0.134008	+	0.500125i	0.865992	+	0.500058i	$0.166688\pi$
$383$	−2.62259	+	9.78763i	−0.134008	+	0.500125i	−1.00000		6.67944e-5i	$0.999979\pi$
$384$	−10.3824	−	2.78196i	−0.529825	−	0.141966i
$385$	−20.4474	−	1.97944i	−1.04210	−	0.100882i
$386$	−6.07895	−	10.5291i	−0.309410	−	0.535915i
$387$	−9.27990	−	5.35775i	−0.471724	−	0.272350i
$388$	8.37077	+	31.2401i	0.424962	+	1.58598i
$389$		−	25.4046i		−	1.28806i	−0.764999	−	0.644032i	$-0.777260\pi$
$389$		−	25.4046i		−	1.28806i	0.764999	−	0.644032i	$-0.222740\pi$
$390$	−14.3597	+	6.94063i	−0.727133	+	0.351452i
$391$		−	26.7945i		−	1.35505i
$392$	−56.6384	+	3.90217i	−2.86067	+	0.197089i
$393$	−2.47368	+	4.28453i	−0.124780	+	0.216126i
$394$	−44.9463	+	25.9497i	−2.26436	+	1.30733i
$395$	−1.09291	−	1.09291i	−0.0549900	−	0.0549900i
$396$	22.7570	+	6.09773i	1.14358	+	0.306422i
$397$	23.6455	+	6.33580i	1.18673	+	0.317984i	0.797594	−	0.603194i	$-0.206106\pi$
$397$	23.6455	+	6.33580i	1.18673	+	0.317984i	0.389140	+	0.921179i	$0.372772\pi$
$398$	−46.0096	+	46.0096i	−2.30625	+	2.30625i
$399$	3.92126	−	10.4715i	0.196308	−	0.524231i
$400$	−22.0396	−	12.7245i	−1.10198	−	0.636227i
$401$	19.0591	−	5.10686i	0.951765	−	0.255025i	0.250654	−	0.968077i	$-0.419354\pi$
$401$	19.0591	−	5.10686i	0.951765	−	0.255025i	0.701111	+	0.713052i	$0.252688\pi$
$402$	28.4001			1.41647
$403$	18.7178	+	21.6876i	0.932401	+	1.08034i
$404$			4.77666i			0.237647i
$405$	−1.60879	+	0.431073i	−0.0799413	+	0.0214202i
$406$	−7.30378	+	1.21838i	−0.362480	+	0.0604673i
$407$	−2.39111	+	1.38051i	−0.118523	+	0.0684293i
$408$	−36.2016	+	36.2016i	−1.79225	+	1.79225i
$409$	−6.62979	+	24.7427i	−0.327822	+	1.22345i	0.583622	+	0.812025i	$0.301635\pi$
$409$	−6.62979	+	24.7427i	−0.327822	+	1.22345i	−0.911444	+	0.411423i	$0.865032\pi$
$410$	1.47528	−	5.50581i	0.0728588	−	0.271913i
$411$	4.98758	−	4.98758i	0.246019	−	0.246019i
$412$	−35.2306	+	20.3404i	−1.73569	+	1.00210i
$413$	22.3230	−	3.72383i	1.09844	−	0.183238i
$414$	−10.8892	+	2.91776i	−0.535176	+	0.143400i
$415$		−	18.3577i		−	0.901144i
$416$	48.1571	+	16.7735i	2.36110	+	0.822390i
$417$	−12.0147			−0.588364
$418$	−50.5438	+	13.5432i	−2.47218	+	0.662419i
$419$	−2.48993	−	1.43756i	−0.121641	−	0.0702295i	0.437945	−	0.899002i	$-0.355706\pi$
$419$	−2.48993	−	1.43756i	−0.121641	−	0.0702295i	−0.559586	+	0.828772i	$0.689040\pi$
$420$	−20.8555	−	7.80975i	−1.01764	−	0.381077i
$421$	−13.5970	+	13.5970i	−0.662676	+	0.662676i	−0.956010	−	0.293334i	$-0.905235\pi$
$421$	−13.5970	+	13.5970i	−0.662676	+	0.662676i	0.293334	+	0.956010i	$0.405235\pi$
$422$	−58.5730	−	15.6946i	−2.85129	−	0.764000i
$423$	−3.90298	−	1.04580i	−0.189769	−	0.0508485i
$424$	2.28725	+	2.28725i	0.111079	+	0.111079i
$425$	−12.1689	+	7.02575i	−0.590281	+	0.340799i
$426$	−5.93579	+	10.2811i	−0.287590	+	0.498120i
$427$	−7.50931	+	10.5163i	−0.363401	+	0.508917i
$428$		−	86.1601i		−	4.16471i
$429$	−15.8733	−	5.52879i	−0.766369	−	0.266933i
$430$		−	47.3999i		−	2.28582i
$431$	9.48793	+	35.4094i	0.457017	+	1.70561i	0.682089	+	0.731269i	$0.261072\pi$
$431$	9.48793	+	35.4094i	0.457017	+	1.70561i	−0.225071	+	0.974342i	$0.572262\pi$
$432$	9.90107	+	5.71638i	0.476365	+	0.275030i
$433$	0.0741930	+	0.128506i	0.00356549	+	0.00617561i	0.867803	−	0.496909i	$-0.165532\pi$
$433$	0.0741930	+	0.128506i	0.00356549	+	0.00617561i	−0.864237	+	0.503085i	$0.832198\pi$
$434$	−5.37974	+	55.5720i	−0.258236	+	2.66754i
$435$	−1.69530	−	0.454256i	−0.0812836	−	0.0217799i
$436$	−2.90012	+	10.8234i	−0.138891	+	0.518346i
$437$	12.6848	−	12.6848i	0.606797	−	0.606797i
$438$	1.75669	+	3.04268i	0.0839379	+	0.145385i
$439$	−4.05749	+	7.02778i	−0.193654	+	0.335418i	−0.946458	−	0.322826i	$-0.895367\pi$
$439$	−4.05749	+	7.02778i	−0.193654	+	0.335418i	0.752805	+	0.658244i	$0.228700\pi$
$440$	16.2986	+	60.8274i	0.777007	+	2.89983i
$441$	6.87002	+	1.34271i	0.327144	+	0.0639386i
$442$	45.7615	−	39.4951i	2.17665	−	1.87859i
$443$	−26.1952			−1.24457			−0.622285	−	0.782790i	$-0.713796\pi$
$443$	−26.1952			−1.24457			−0.622285	+	0.782790i	$0.713796\pi$
$444$	−2.89112	+	0.774674i	−0.137207	+	0.0367644i
$445$	4.12802	−	7.14994i	0.195687	−	0.338940i
$446$	16.8321	+	29.1541i	0.797024	+	1.38049i
$447$	−3.48992	−	3.48992i	−0.165067	−	0.165067i
$448$	16.1078	+	35.3934i	0.761022	+	1.67218i
$449$	0.953576	−	3.55879i	0.0450020	−	0.167950i	−0.939768	−	0.341814i	$-0.888959\pi$
$449$	0.953576	−	3.55879i	0.0450020	−	0.167950i	0.984770	+	0.173864i	$0.0556254\pi$
$450$	4.18038	+	4.18038i	0.197065	+	0.197065i
$451$	5.20239	−	3.00360i	0.244971	−	0.141434i
$452$	26.4819	+	15.2893i	1.24560	+	0.719148i
$453$	−5.04698	−	18.8356i	−0.237128	−	0.884973i
$454$	30.7298			1.44222
$455$	14.4308	+	6.64749i	0.676525	+	0.311639i
$456$	−34.2765			−1.60514
$457$	2.49719	+	9.31962i	0.116813	+	0.435954i	0.999416	−	0.0341660i	$-0.0108775\pi$
$457$	2.49719	+	9.31962i	0.116813	+	0.435954i	−0.882603	+	0.470119i	$0.844211\pi$
$458$	−29.6245	−	17.1037i	−1.38426	−	0.799203i
$459$	5.46679	−	3.15625i	0.255168	−	0.147321i
$460$	−25.2636	−	25.2636i	−1.17792	−	1.17792i
$461$	1.90787	−	7.12028i	0.0888585	−	0.331624i	−0.907158	−	0.420789i	$-0.861753\pi$
$461$	1.90787	−	7.12028i	0.0888585	−	0.331624i	0.996017	+	0.0891650i	$0.0284198\pi$
$462$	−13.5692	−	29.8155i	−0.631299	−	1.38714i
$463$	10.2671	+	10.2671i	0.477153	+	0.477153i	0.904220	−	0.427067i	$-0.140453\pi$
$463$	10.2671	+	10.2671i	0.477153	+	0.477153i	−0.427067	+	0.904220i	$0.640453\pi$
$464$	6.02380	+	10.4335i	0.279648	+	0.484364i
$465$	−6.61680	+	11.4606i	−0.306847	+	0.531474i
$466$	3.83867	−	1.02857i	0.177823	−	0.0476475i
$467$	−34.1823			−1.58177			−0.790883	−	0.611967i	$-0.790379\pi$
$467$	−34.1823			−1.58177			−0.790883	+	0.611967i	$0.790379\pi$
$468$	−15.0700	−	10.2430i	−0.696611	−	0.473481i
$469$	−17.9845	−	21.8398i	−0.830449	−	1.00847i
$470$	−4.62608	−	17.2648i	−0.213385	−	0.796364i
$471$	9.99103	−	17.3050i	0.460363	−	0.797371i
$472$	−34.6877	−	60.0808i	−1.59663	−	2.76544i
$473$	35.3229	−	35.3229i	1.62415	−	1.62415i
$474$	0.637894	−	2.38065i	0.0292994	−	0.109347i
$475$	−9.08699	−	2.43485i	−0.416940	−	0.111719i
$476$	84.0113	+	8.13285i	3.85065	+	0.372769i
$477$	−0.199415	−	0.345397i	−0.00913060	−	0.0158147i
$478$	−10.3865	−	5.99668i	−0.475070	−	0.274282i
$479$	−9.19517	−	34.3169i	−0.420138	−	1.56798i	−0.774316	−	0.632799i	$-0.781906\pi$
$479$	−9.19517	−	34.3169i	−0.420138	−	1.56798i	0.354178	−	0.935178i	$-0.384761\pi$
$480$			23.5564i			1.07520i
$481$	2.09761	−	0.400003i	0.0956430	−	0.0182386i
$482$		−	25.5005i		−	1.16152i
$483$	9.13944	+	6.52617i	0.415859	+	0.296951i
$484$	−27.1207	+	46.9745i	−1.23276	+	2.13520i
$485$	9.23087	−	5.32944i	0.419152	−	0.241998i
$486$	−1.87800	−	1.87800i	−0.0851876	−	0.0851876i
$487$	22.0147	+	5.89883i	0.997583	+	0.267302i	0.720433	−	0.693525i	$-0.243943\pi$
$487$	22.0147	+	5.89883i	0.997583	+	0.267302i	0.277150	+	0.960827i	$0.410610\pi$
$488$	38.2622	+	10.2523i	1.73205	+	0.464101i
$489$	−4.00535	+	4.00535i	−0.181128	+	0.181128i
$490$	10.0510	+	29.2877i	0.454057	+	1.32308i
$491$	12.8664	+	7.42840i	0.580651	+	0.335239i	0.761392	−	0.648292i	$-0.224516\pi$
$491$	12.8664	+	7.42840i	0.580651	+	0.335239i	−0.180741	+	0.983531i	$0.557850\pi$
$492$	6.29027	−	1.68547i	0.283587	−	0.0759870i
$493$	6.65198			0.299590
$494$	40.3615	+	2.96655i	1.81595	+	0.133471i
$495$		−	7.76451i		−	0.348989i
$496$	87.7441	−	23.5110i	3.93983	−	1.05567i
$497$	11.6651	−	1.94592i	0.523250	−	0.0872862i
$498$	25.3515	−	14.6367i	1.13603	−	0.655886i
$499$	−11.2290	+	11.2290i	−0.502679	+	0.502679i	−0.912270	−	0.409590i	$-0.865672\pi$
$499$	−11.2290	+	11.2290i	−0.502679	+	0.502679i	0.409590	+	0.912270i	$0.365672\pi$
$500$	−15.7420	+	58.7500i	−0.704004	+	2.62738i
$501$	1.10228	−	4.11377i	0.0492464	−	0.183790i
$502$	−48.5880	+	48.5880i	−2.16859	+	2.16859i
$503$	−13.8096	+	7.97299i	−0.615741	+	0.355498i	−0.775209	−	0.631705i	$-0.782355\pi$
$503$	−13.8096	+	7.97299i	−0.615741	+	0.355498i	0.159468	+	0.987203i	$0.449022\pi$
$504$	−3.53074	−	21.1656i	−0.157272	−	0.942789i
$505$	1.52058	−	0.407439i	0.0676651	−	0.0181308i
$506$		−	52.5548i		−	2.33635i
$507$	10.1870	+	8.07622i	0.452420	+	0.358677i
$508$	9.37043			0.415745
$509$	21.2058	−	5.68207i	0.939930	−	0.251853i	0.243846	−	0.969814i	$-0.421591\pi$
$509$	21.2058	−	5.68207i	0.939930	−	0.251853i	0.696084	+	0.717961i	$0.254924\pi$
$510$	24.1823	+	13.9616i	1.07081	+	0.618231i
$511$	1.22740	−	3.27770i	0.0542968	−	0.144997i
$512$	−16.7938	+	16.7938i	−0.742187	+	0.742187i
$513$	4.08225	+	1.09384i	0.180236	+	0.0482940i
$514$	58.6887	+	15.7256i	2.58865	+	0.693626i
$515$	9.48019	+	9.48019i	0.417747	+	0.417747i
$516$	46.8982	−	27.0767i	2.06458	−	1.19198i
$517$	9.41849	−	16.3133i	0.414225	−	0.717458i
$518$	3.38685	+	2.41844i	0.148810	+	0.106260i
$519$		−	1.74786i		−	0.0767226i
$520$	3.57011	−	48.5733i	0.156560	−	2.13008i
$521$		−	27.9103i		−	1.22277i	−0.791332	−	0.611387i	$-0.790612\pi$
$521$		−	27.9103i		−	1.22277i	0.791332	−	0.611387i	$-0.209388\pi$
$522$	−0.724361	−	2.70335i	−0.0317044	−	0.118322i
$523$	−14.4506	−	8.34306i	−0.631881	−	0.364817i	0.149599	−	0.988747i	$-0.452202\pi$
$523$	−14.4506	−	8.34306i	−0.631881	−	0.364817i	−0.781480	+	0.623930i	$0.785535\pi$
$524$	−12.5013	−	21.6529i	−0.546122	−	0.945911i
$525$	0.567479	−	5.86198i	0.0247668	−	0.255838i
$526$	−56.0118	−	15.0083i	−2.44223	−	0.654393i
$527$	12.9814	−	48.4472i	0.565478	−	2.11039i
$528$	−37.6874	+	37.6874i	−1.64013	+	1.64013i
$529$	−2.49141	−	4.31525i	−0.108322	−	0.187620i
$530$	0.882111	−	1.52786i	0.0383164	−	0.0663660i
$531$	2.21391	+	8.26243i	0.0960756	+	0.358559i
$532$	35.9217	+	43.6221i	1.55740	+	1.89126i
$533$	−4.56382	+	0.870294i	−0.197681	+	0.0376966i
$534$	13.1652			0.569712
$535$	−27.4279	+	7.34928i	−1.18581	+	0.317737i
$536$	−43.3632	+	75.1072i	−1.87300	+	3.24414i
$537$	−11.4072	−	19.7578i	−0.492256	−	0.852613i
$538$	−11.0415	−	11.0415i	−0.476032	−	0.476032i
$539$	−14.3355	+	29.3157i	−0.617472	+	1.26272i
$540$	2.17853	−	8.13039i	0.0937490	−	0.349876i
$541$	−14.9557	−	14.9557i	−0.642996	−	0.642996i	0.308295	−	0.951291i	$-0.400242\pi$
$541$	−14.9557	−	14.9557i	−0.642996	−	0.642996i	−0.951291	+	0.308295i	$0.900242\pi$
$542$	−15.9991	+	9.23708i	−0.687220	+	0.396767i
$543$	−11.9014	−	6.87127i	−0.510737	−	0.294874i
$544$	−23.1074	−	86.2380i	−0.990722	−	3.69743i
$545$	3.69285			0.158184
$546$	2.32571	+	25.2286i	0.0995314	+	1.07968i
$547$	39.1844			1.67540			0.837702	−	0.546127i	$-0.183898\pi$
$547$	39.1844			1.67540			0.837702	+	0.546127i	$0.183898\pi$
$548$	9.22600	+	34.4319i	0.394115	+	1.47086i
$549$	−4.22976	−	2.44205i	−0.180522	−	0.104224i
$550$	−23.8682	+	13.7803i	−1.01775	+	0.587595i
$551$	3.14912	+	3.14912i	0.134157	+	0.134157i
$552$	8.91006	−	33.2528i	0.379237	−	1.41533i
$553$	−2.23468	+	1.01702i	−0.0950284	+	0.0432481i
$554$	23.2273	+	23.2273i	0.986833	+	0.986833i
$555$	0.493214	+	0.854271i	0.0209358	+	0.0362618i
$556$	30.3597	−	52.5845i	1.28754	−	2.23008i
$557$	−1.74793	+	0.468357i	−0.0740623	+	0.0198449i	−0.295660	−	0.955293i	$-0.595540\pi$
$557$	−1.74793	+	0.468357i	−0.0740623	+	0.0198449i	0.221598	+	0.975138i	$0.428873\pi$
$558$	−21.1024			−0.893337
$559$	−34.7852	+	16.8131i	−1.47126	+	0.711117i
$560$	38.8906	−	32.0255i	1.64343	−	1.35332i
$561$	7.61653	+	28.4253i	0.321570	+	1.20012i
$562$	29.3944	−	50.9126i	1.23993	−	2.14762i
$563$	3.27798	+	5.67763i	0.138150	+	0.239284i	0.926797	−	0.375564i	$-0.122551\pi$
$563$	3.27798	+	5.67763i	0.138150	+	0.239284i	−0.788646	+	0.614847i	$0.789218\pi$
$564$	14.4394	−	14.4394i	0.608009	−	0.608009i
$565$	2.60829	−	9.73429i	0.109732	−	0.409524i
$566$	−73.6673	−	19.7391i	−3.09647	−	0.829696i
$567$	−0.254935	+	2.63344i	−0.0107062	+	0.110594i
$568$	−18.1263	−	31.3957i	−0.760563	−	1.31733i
$569$	−7.73692	−	4.46691i	−0.324349	−	0.187263i	0.328981	−	0.944337i	$-0.393295\pi$
$569$	−7.73692	−	4.46691i	−0.324349	−	0.187263i	−0.653329	+	0.757074i	$0.726628\pi$
$570$	4.83856	+	18.0578i	0.202665	+	0.756356i
$571$		−	21.0842i		−	0.882348i	−0.897422	−	0.441174i	$-0.854562\pi$
$571$		−	21.0842i		−	0.882348i	0.897422	−	0.441174i	$-0.145438\pi$
$572$	64.3073	−	55.5014i	2.68882	−	2.32063i
$573$			12.0517i			0.503468i
$574$	−7.36884	−	5.26184i	−0.307569	−	0.219625i
$575$	4.72426	−	8.18267i	0.197015	−	0.341241i
$576$	−12.7286	+	7.34885i	−0.530358	+	0.306202i
$577$	4.76619	+	4.76619i	0.198419	+	0.198419i	0.799322	−	0.600903i	$-0.205192\pi$
$577$	4.76619	+	4.76619i	0.198419	+	0.198419i	−0.600903	+	0.799322i	$0.705192\pi$
$578$	−58.6133	−	15.7054i	−2.43799	−	0.653257i
$579$	−4.42174	−	1.18480i	−0.183761	−	0.0492386i
$580$	6.27193	−	6.27193i	0.260428	−	0.260428i
$581$	−27.3097	−	10.2266i	−1.13300	−	0.424272i
$582$	14.7196	+	8.49839i	0.610149	+	0.352269i
$583$	1.79594	−	0.481220i	0.0743802	−	0.0199301i
$584$	−10.7289			−0.443966
$585$	−1.97527	+	5.67103i	−0.0816673	+	0.234468i
$586$			61.3791i			2.53555i
$587$	−13.3468	+	3.57628i	−0.550883	+	0.147609i	−0.523515	−	0.852017i	$-0.675379\pi$
$587$	−13.3468	+	3.57628i	−0.550883	+	0.147609i	−0.0273686	+	0.999625i	$0.508713\pi$
$588$	−23.2362	+	26.6749i	−0.958245	+	1.10005i
$589$	29.0810	−	16.7899i	1.19826	−	0.691816i
$590$	−26.7555	+	26.7555i	−1.10151	+	1.10151i
$591$	−5.05766	+	18.8754i	−0.208044	+	0.776432i
$592$	1.75250	−	6.54042i	0.0720273	−	0.268809i
$593$	17.2336	−	17.2336i	0.707698	−	0.707698i	−0.258353	−	0.966051i	$-0.583180\pi$
$593$	17.2336	−	17.2336i	0.707698	−	0.707698i	0.966051	+	0.258353i	$0.0831796\pi$
$594$	10.7226	−	6.19069i	0.439953	−	0.254007i
$595$	−4.57701	−	27.4376i	−0.187639	−	1.12483i
$596$	24.0927	−	6.45563i	0.986877	−	0.264433i
$597$			24.4993i			1.00269i
$598$	−13.3698	+	38.3849i	−0.546730	+	1.56967i
$599$	35.8803			1.46603			0.733015	−	0.680212i	$-0.238112\pi$
$599$	35.8803			1.46603			0.733015	+	0.680212i	$0.238112\pi$
$600$	−17.4384	+	4.67259i	−0.711918	+	0.190758i
$601$	−1.74937	−	1.01000i	−0.0713582	−	0.0411987i	0.463896	−	0.885889i	$-0.346451\pi$
$601$	−1.74937	−	1.01000i	−0.0713582	−	0.0411987i	−0.535255	+	0.844691i	$0.679784\pi$
$602$	−70.5140	−	26.4053i	−2.87394	−	1.07620i
$603$	7.56128	−	7.56128i	0.307919	−	0.307919i
$604$	95.1900	+	25.5061i	3.87323	+	1.03783i
$605$	17.2670	+	4.62669i	0.702005	+	0.188102i
$606$	1.77503	+	1.77503i	0.0721057	+	0.0721057i
$607$	26.9378	−	15.5526i	1.09337	−	0.631259i	0.158901	−	0.987295i	$-0.449205\pi$
$607$	26.9378	−	15.5526i	1.09337	−	0.631259i	0.934473	+	0.356035i	$0.115872\pi$
$608$	29.8868	−	51.7654i	1.21207	−	2.09936i
$609$	−1.62018	+	2.26895i	−0.0656531	+	0.0919425i
$610$		−	21.6048i		−	0.874751i
$611$	−11.0291	+	9.51885i	−0.446190	+	0.385092i
$612$			31.9017i			1.28955i
$613$	2.49860	+	9.32490i	0.100917	+	0.376629i	0.997850	−	0.0655381i	$-0.0208764\pi$
$613$	2.49860	+	9.32490i	0.100917	+	0.376629i	−0.896933	+	0.442167i	$0.854210\pi$
$614$	17.9768	+	10.3789i	0.725485	+	0.418859i
$615$	−1.07309	−	1.85865i	−0.0432714	−	0.0749482i
$616$	99.5689	+	9.63893i	4.01175	+	0.388364i
$617$	−7.40462	−	1.98406i	−0.298099	−	0.0798753i	0.106670	−	0.994294i	$-0.465981\pi$
$617$	−7.40462	−	1.98406i	−0.298099	−	0.0798753i	−0.404768	+	0.914419i	$0.632648\pi$
$618$	−5.53328	+	20.6505i	−0.222581	+	0.830685i
$619$	23.5040	−	23.5040i	0.944707	−	0.944707i	−0.0538424	−	0.998549i	$-0.517147\pi$
$619$	23.5040	−	23.5040i	0.944707	−	0.944707i	0.998549	+	0.0538424i	$0.0171469\pi$
$620$	−33.4395	−	57.9190i	−1.34296	−	2.32608i
$621$	−2.12233	+	3.67599i	−0.0851663	+	0.147512i
$622$	7.09446	+	26.4769i	0.284462	+	1.06163i
$623$	−8.33692	−	10.1241i	−0.334012	−	0.405612i
$624$	37.1136	−	17.9385i	1.48573	−	0.718114i
$625$	8.91513			0.356605
$626$	−53.7104	+	14.3916i	−2.14670	+	0.575206i
$627$	−9.85110	+	17.0626i	−0.393415	+	0.681415i
$628$	50.4920	+	87.4548i	2.01485	+	3.48983i
$629$	−2.64361	−	2.64361i	−0.105408	−	0.105408i
$630$	−10.6522	+	4.84788i	−0.424392	+	0.193144i
$631$	−6.11577	+	22.8244i	−0.243465	+	0.908623i	0.730684	+	0.682716i	$0.239201\pi$
$631$	−6.11577	+	22.8244i	−0.243465	+	0.908623i	−0.974149	+	0.225907i	$0.927465\pi$
$632$	5.32192	+	5.32192i	0.211695	+	0.211695i
$633$	−19.7731	+	11.4160i	−0.785910	+	0.453745i
$634$	27.5057	+	15.8804i	1.09239	+	0.630693i
$635$	−0.799278	−	2.98295i	−0.0317184	−	0.118375i
$636$	2.01558			0.0799231
$637$	17.9281	−	17.7646i	0.710338	−	0.703861i
$638$	13.0472			0.516544
$639$	1.15690	+	4.31760i	0.0457662	+	0.170802i
$640$	−15.5039	−	8.95116i	−0.612844	−	0.353826i
$641$	−1.08956	+	0.629057i	−0.0430350	+	0.0248463i	−0.521363	−	0.853335i	$-0.674576\pi$
$641$	−1.08956	+	0.629057i	−0.0430350	+	0.0248463i	0.478328	+	0.878181i	$0.341243\pi$
$642$	−32.0176	−	32.0176i	−1.26363	−	1.26363i
$643$	8.43652	−	31.4855i	0.332704	−	1.24167i	−0.573633	−	0.819113i	$-0.694466\pi$
$643$	8.43652	−	31.4855i	0.332704	−	1.24167i	0.906337	−	0.422556i	$-0.138867\pi$
$644$	−51.6570	+	23.5095i	−2.03557	+	0.926403i
$645$	−12.6198	−	12.6198i	−0.496904	−	0.496904i
$646$	−35.4272	−	61.3617i	−1.39386	−	2.41424i
$647$	4.65030	−	8.05456i	0.182822	−	0.316657i	−0.760018	−	0.649902i	$-0.774810\pi$
$647$	4.65030	−	8.05456i	0.182822	−	0.316657i	0.942841	+	0.333244i	$0.108143\pi$
$648$	7.83402	−	2.09912i	0.307749	−	0.0824612i
$649$	−39.8771			−1.56531
$650$	20.9385	−	3.99285i	0.821276	−	0.156613i
$651$	13.3632	+	16.2279i	0.523747	+	0.636020i
$652$	−7.40908	−	27.6510i	−0.290162	−	1.08290i
$653$	−13.4181	+	23.2408i	−0.525090	+	0.909482i	0.474483	+	0.880264i	$0.342635\pi$
$653$	−13.4181	+	23.2408i	−0.525090	+	0.909482i	−0.999573	+	0.0292175i	$0.990698\pi$
$654$	2.94433	+	5.09973i	0.115132	+	0.199415i
$655$	−5.82657	+	5.82657i	−0.227663	+	0.227663i
$656$	−3.81295	+	14.2301i	−0.148871	+	0.555593i
$657$	1.27779	+	0.342383i	0.0498513	+	0.0133576i
$658$	−28.2608	−	2.73584i	−1.10172	−	0.106654i
$659$	−7.95731	−	13.7825i	−0.309973	−	0.536889i	0.668383	−	0.743817i	$-0.266987\pi$
$659$	−7.95731	−	13.7825i	−0.309973	−	0.536889i	−0.978356	+	0.206928i	$0.933653\pi$
$660$	33.9827	+	19.6199i	1.32277	+	0.763703i
$661$	−0.555848	−	2.07445i	−0.0216200	−	0.0806868i	0.954273	−	0.298937i	$-0.0966319\pi$
$661$	−0.555848	−	2.07445i	−0.0216200	−	0.0806868i	−0.975893	+	0.218250i	$0.929965\pi$
$662$			68.8907i			2.67751i
$663$	1.66835	−	22.6988i	0.0647934	−	0.881549i
$664$			89.3931i			3.46913i
$665$	10.8225	−	15.1561i	0.419677	−	0.587727i
$666$	−0.786484	+	1.36223i	−0.0304756	+	0.0527853i
$667$	−3.87367	+	2.23647i	−0.149989	+	0.0865963i
$668$	15.2193	+	15.2193i	0.588852	+	0.588852i
$669$	12.2434	+	3.28062i	0.473358	+	0.126836i
$670$	45.6897	+	12.2425i	1.76515	+	0.472970i
$671$	16.1001	−	16.1001i	0.621538	−	0.621538i
$672$	35.0434	+	13.1227i	1.35183	+	0.506219i
$673$	−33.3114	−	19.2323i	−1.28406	−	0.741352i	−0.306472	−	0.951880i	$-0.599148\pi$
$673$	−33.3114	−	19.2323i	−1.28406	−	0.741352i	−0.977588	+	0.210528i	$0.932482\pi$
$674$	−67.0376	+	17.9627i	−2.58219	+	0.691896i
$675$	2.22598			0.0856779
$676$	−61.0881	+	24.1775i	−2.34954	+	0.929903i
$677$			18.0903i			0.695268i	0.937630	+	0.347634i	$0.113015\pi$
$677$			18.0903i			0.695268i	−0.937630	+	0.347634i	$0.886985\pi$
$678$	15.5224	−	4.15921i	0.596134	−	0.159734i
$679$	−2.78601	−	16.7011i	−0.106917	−	0.640930i
$680$	−73.8462	+	42.6351i	−2.83187	+	1.63498i
$681$	8.18154	−	8.18154i	0.313517	−	0.313517i
$682$	25.4617	−	95.0245i	0.974980	−	3.63868i
$683$	−9.14504	+	34.1297i	−0.349925	+	1.30594i	0.536827	+	0.843693i	$0.319623\pi$
$683$	−9.14504	+	34.1297i	−0.349925	+	1.30594i	−0.886752	+	0.462246i	$0.847044\pi$
$684$	−15.1026	+	15.1026i	−0.577464	+	0.577464i
$685$	10.1740	−	5.87394i	0.388727	−	0.224432i
$686$	49.1688	+	1.36323i	1.87727	+	0.0520485i
$687$	−12.4410	+	3.33355i	−0.474652	+	0.127183i
$688$			122.508i			4.67057i
$689$	−1.43414	−	0.105408i	−0.0546362	−	0.00401573i
$690$	−18.7762			−0.714798
$691$	18.6167	−	4.98833i	0.708213	−	0.189765i	0.113306	−	0.993560i	$-0.463856\pi$
$691$	18.6167	−	4.98833i	0.708213	−	0.189765i	0.594906	+	0.803795i	$0.297189\pi$
$692$	7.64980	+	4.41661i	0.290802	+	0.167894i
$693$	−11.5508	−	4.32543i	−0.438779	−	0.164309i
$694$	−14.0489	+	14.0489i	−0.533289	+	0.533289i
$695$	−19.3292	−	5.17924i	−0.733197	−	0.196460i
$696$	8.25532	+	2.21201i	0.312917	+	0.0838459i
$697$	5.75175	+	5.75175i	0.217863	+	0.217863i
$698$	4.69809	−	2.71244i	0.177825	−	0.102668i
$699$	0.748164	−	1.29586i	0.0282982	−	0.0490139i
$700$	24.2220	+	17.2961i	0.915504	+	0.653732i
$701$			30.2993i			1.14439i	0.820118	+	0.572194i	$0.193908\pi$
$701$			30.2993i			1.14439i	−0.820118	+	0.572194i	$0.806092\pi$
$702$	−9.40643	+	1.79375i	−0.355023	+	0.0677008i
$703$		−	2.50303i		−	0.0944035i
$704$	−17.7339	−	66.1839i	−0.668373	−	2.49440i
$705$	−5.82824	−	3.36494i	−0.219504	−	0.126731i
$706$	16.6590	+	28.8542i	0.626969	+	1.08594i
$707$	0.240957	−	2.48906i	0.00906214	−	0.0936106i
$708$	−41.7562	−	11.1885i	−1.56929	−	0.420491i
$709$	−4.09223	+	15.2724i	−0.153687	+	0.573567i	0.845527	+	0.533932i	$0.179286\pi$
$709$	−4.09223	+	15.2724i	−0.153687	+	0.573567i	−0.999214	+	0.0396350i	$0.987380\pi$
$710$	−13.9813	+	13.9813i	−0.524710	+	0.524710i
$711$	−0.463994	−	0.803661i	−0.0174011	−	0.0301397i
$712$	−20.1015	+	34.8167i	−0.753334	+	1.30481i
$713$	8.72896	+	32.5769i	0.326902	+	1.22002i
$714$	34.2413	−	28.1968i	1.28145	−	1.05524i
$715$	−23.1534	−	15.7372i	−0.865888	−	0.588538i
$716$	115.298			4.30888
$717$	−4.36189	+	1.16877i	−0.162898	+	0.0436483i
$718$	13.0141	−	22.5410i	0.485680	−	0.841223i
$719$	−4.93530	−	8.54819i	−0.184056	−	0.318794i	0.759202	−	0.650855i	$-0.225589\pi$
$719$	−4.93530	−	8.54819i	−0.184056	−	0.318794i	−0.943258	+	0.332061i	$0.892256\pi$
$720$	13.4645	+	13.4645i	0.501794	+	0.501794i
$721$	19.3843	−	8.82194i	0.721909	−	0.328546i
$722$	−0.782788	+	2.92140i	−0.0291324	+	0.108723i
$723$	−6.78930	−	6.78930i	−0.252497	−	0.252497i
$724$	60.1465	−	34.7256i	2.23533	−	1.29057i
$725$	2.03142	+	1.17284i	0.0754452	+	0.0435583i
$726$	7.37776	+	27.5342i	0.273815	+	1.02189i
$727$	−24.0371			−0.891486			−0.445743	−	0.895161i	$-0.647061\pi$
$727$	−24.0371			−0.891486			−0.445743	+	0.895161i	$0.647061\pi$
$728$	−70.2708	−	32.3701i	−2.60441	−	1.19971i
$729$	−1.00000			−0.0370370
$730$	1.51452	+	5.65228i	0.0560551	+	0.209200i
$731$	58.5794	+	33.8208i	2.16664	+	1.25091i
$732$	21.3761	−	12.3415i	0.790082	−	0.456154i
$733$	12.9796	+	12.9796i	0.479413	+	0.479413i	0.904944	−	0.425531i	$-0.139913\pi$
$733$	12.9796	+	12.9796i	0.479413	+	0.479413i	−0.425531	+	0.904944i	$0.639913\pi$
$734$	17.2964	−	64.5510i	0.638422	−	2.38262i
$735$	10.4736	+	5.12162i	0.386324	+	0.188914i
$736$	42.4504	+	42.4504i	1.56474	+	1.56474i
$737$	24.9252	+	43.1718i	0.918133	+	1.59025i
$738$	1.71117	−	2.96383i	0.0629890	−	0.109100i
$739$	−27.1236	+	7.26773i	−0.997756	+	0.267348i	−0.720505	−	0.693450i	$-0.756090\pi$
$739$	−27.1236	+	7.26773i	−0.997756	+	0.267348i	−0.277251	+	0.960798i	$0.589423\pi$
$740$	−4.98514			−0.183258
$741$	11.5357	−	9.95607i	0.423775	−	0.365745i
$742$	−1.78151	−	2.16340i	−0.0654011	−	0.0794209i
$743$	−5.26385	−	19.6449i	−0.193112	−	0.720703i	−0.992748	−	0.120218i	$-0.961641\pi$
$743$	−5.26385	−	19.6449i	−0.193112	−	0.720703i	0.799636	−	0.600485i	$-0.205026\pi$
$744$	32.2206	−	55.8077i	1.18126	−	2.04601i
$745$	−4.11012	−	7.11894i	−0.150583	−	0.260818i
$746$	−21.8542	+	21.8542i	−0.800138	+	0.800138i
$747$	2.85272	−	10.6465i	0.104376	−	0.389535i
$748$	−143.654	−	38.4919i	−5.25250	−	1.40740i
$749$	−4.34633	+	44.8970i	−0.158811	+	1.64050i
$750$	15.9820	+	27.6816i	0.583580	+	1.01079i
$751$	−29.4512	−	17.0036i	−1.07469	−	0.620472i	−0.145230	−	0.989398i	$-0.546392\pi$
$751$	−29.4512	−	17.0036i	−1.07469	−	0.620472i	−0.929459	+	0.368926i	$0.879725\pi$
$752$	11.9564	+	44.6218i	0.436004	+	1.62719i
$753$			25.8723i			0.942839i
$754$	−9.52941	−	3.31917i	−0.347040	−	0.120877i
$755$		−	32.4781i		−	1.18200i
$756$	−10.8815	−	7.77012i	−0.395756	−	0.282596i
$757$	−12.1464	+	21.0382i	−0.441469	+	0.764646i	−0.997799	−	0.0663153i	$-0.978876\pi$
$757$	−12.1464	+	21.0382i	−0.441469	+	0.764646i	0.556330	+	0.830961i	$0.312209\pi$
$758$	59.5530	−	34.3830i	2.16306	−	1.24885i
$759$	−13.9923	−	13.9923i	−0.507887	−	0.507887i
$760$	−55.1436	−	14.7757i	−2.00027	−	0.535971i
$761$	16.6934	+	4.47299i	0.605136	+	0.162146i	0.548362	−	0.836241i	$-0.315252\pi$
$761$	16.6934	+	4.47299i	0.605136	+	0.162146i	0.0567745	+	0.998387i	$0.481918\pi$
$762$	3.48210	−	3.48210i	0.126143	−	0.126143i
$763$	2.05720	−	5.49364i	0.0744757	−	0.198883i
$764$	−52.7463	−	30.4531i	−1.90829	−	1.10175i
$765$	10.1555	−	2.72115i	0.367172	−	0.0983835i
$766$	−26.9118			−0.972364
$767$	29.1254	+	10.1446i	1.05166	+	0.366301i
$768$			0.848186i			0.0306063i
$769$	−10.4169	+	2.79121i	−0.375644	+	0.100654i	−0.441701	−	0.897162i	$-0.645625\pi$
$769$	−10.4169	+	2.79121i	−0.375644	+	0.100654i	0.0660568	+	0.997816i	$0.478958\pi$
$770$	−8.97737	−	53.8162i	−0.323522	−	1.93940i
$771$	19.8122	−	11.4386i	0.713518	−	0.411950i
$772$	16.3586	−	16.3586i	0.588759	−	0.588759i
$773$	−10.6384	+	39.7032i	−0.382638	+	1.42802i	0.459219	+	0.888323i	$0.348129\pi$
$773$	−10.6384	+	39.7032i	−0.382638	+	1.42802i	−0.841857	+	0.539701i	$0.818537\pi$
$774$	7.36577	−	27.4894i	0.264757	−	0.988088i
$775$	12.5063	−	12.5063i	0.449239	−	0.449239i
$776$	−44.9499	+	25.9518i	−1.61361	+	0.931616i
$777$	1.54561	−	0.257831i	0.0554483	−	0.00924964i
$778$	65.1727	−	17.4630i	2.33655	−	0.626078i
$779$			5.44589i			0.195119i
$780$	−19.8290	−	22.9750i	−0.709991	−	0.822638i
$781$	−20.8381			−0.745646
$782$	68.7382	−	18.4184i	2.45807	−	0.658639i
$783$	−0.912598	−	0.526889i	−0.0326136	−	0.0188295i
$784$	−25.9774	−	75.6959i	−0.927764	−	2.70343i
$785$	23.5332	−	23.5332i	0.839935	−	0.839935i
$786$	−12.6919	−	3.40078i	−0.452704	−	0.121302i
$787$	26.7623	+	7.17094i	0.953973	+	0.255616i	0.702047	−	0.712130i	$-0.252269\pi$
$787$	26.7623	+	7.17094i	0.953973	+	0.255616i	0.251926	+	0.967747i	$0.418936\pi$
$788$	−69.8314	−	69.8314i	−2.48764	−	2.48764i
$789$	−18.9085	+	10.9168i	−0.673160	+	0.388649i
$790$	2.05247	−	3.55498i	0.0730236	−	0.126481i
$791$	−13.0281	−	9.30295i	−0.463226	−	0.330775i
$792$			37.8094i			1.34350i
$793$	−15.8550	+	7.66336i	−0.563027	+	0.272134i
$794$			65.0151i			2.30730i
$795$	−0.171925	−	0.641634i	−0.00609756	−	0.0227564i
$796$	−107.225	−	61.9065i	−3.80050	−	2.19422i
$797$	26.4182	+	45.7577i	0.935781	+	1.62082i	0.773235	+	0.634119i	$0.218637\pi$
$797$	26.4182	+	45.7577i	0.935781	+	1.62082i	0.162546	+	0.986701i	$0.448029\pi$
$798$	29.5589	+	2.86150i	1.04637	+	0.101296i
$799$	24.6376	+	6.60161i	0.871614	+	0.233548i
$800$	8.14837	−	30.4101i	0.288088	−	1.07516i
$801$	3.50511	−	3.50511i	0.123847	−	0.123847i
$802$	26.2022	+	45.3835i	0.925232	+	1.60255i
$803$	−3.08351	+	5.34079i	−0.108815	+	0.188472i
$804$	13.9868	+	52.1995i	0.493277	+	1.84093i
$805$	11.8902	+	14.4390i	0.419073	+	0.508908i
$806$	−42.7706	+	62.9264i	−1.50653	+	2.21649i
$807$	−5.87940			−0.206965
$808$	−7.40451	+	1.98403i	−0.260490	+	0.0697980i
$809$	12.7930	−	22.1581i	0.449776	−	0.779036i	−0.548595	−	0.836088i	$-0.684837\pi$
$809$	12.7930	−	22.1581i	0.449776	−	0.779036i	0.998371	+	0.0570528i	$0.0181703\pi$
$810$	−2.21174	−	3.83085i	−0.0777127	−	0.134602i
$811$	34.1937	+	34.1937i	1.20070	+	1.20070i	0.973953	+	0.226749i	$0.0728096\pi$
$811$	34.1937	+	34.1937i	1.20070	+	1.20070i	0.226749	+	0.973953i	$0.427190\pi$
$812$	−5.83645	−	12.8243i	−0.204819	−	0.450046i
$813$	−1.80033	+	6.71891i	−0.0631402	+	0.235643i
$814$	−5.18518	−	5.18518i	−0.181741	−	0.181741i
$815$	−8.17035	+	4.71716i	−0.286195	+	0.165235i
$816$	−62.5005	−	36.0847i	−2.18796	−	1.26322i
$817$	11.7210	+	43.7433i	0.410066	+	1.53039i
$818$	−68.0320			−2.37868
$819$	7.33609	+	6.09769i	0.256344	+	0.213070i
$820$	10.8463			0.378768
$821$	−5.38960	−	20.1142i	−0.188098	−	0.701992i	−0.993946	−	0.109869i	$-0.964957\pi$
$821$	−5.38960	−	20.1142i	−0.188098	−	0.701992i	0.805848	−	0.592123i	$-0.201710\pi$
$822$	16.2235	+	9.36665i	0.565860	+	0.326700i
$823$	−1.66588	+	0.961795i	−0.0580689	+	0.0335261i	−0.528753	−	0.848776i	$-0.677340\pi$
$823$	−1.66588	+	0.961795i	−0.0580689	+	0.0335261i	0.470684	+	0.882302i	$0.344007\pi$
$824$	−46.1639	−	46.1639i	−1.60820	−	1.60820i
$825$	−2.68582	+	10.0236i	−0.0935081	+	0.348977i
$826$	24.8978	+	54.7075i	0.866305	+	1.90352i
$827$	22.0447	+	22.0447i	0.766570	+	0.766570i	0.977501	−	0.210931i	$-0.0676495\pi$
$827$	22.0447	+	22.0447i	0.766570	+	0.766570i	−0.210931	+	0.977501i	$0.567649\pi$
$828$	−10.7257	−	18.5775i	−0.372744	−	0.645612i
$829$	1.67430	−	2.89997i	0.0581508	−	0.100720i	−0.835485	−	0.549514i	$-0.814813\pi$
$829$	1.67430	−	2.89997i	0.0581508	−	0.100720i	0.893635	+	0.448794i	$0.148146\pi$
$830$	47.0946	−	12.6190i	1.63468	−	0.438011i
$831$	12.3681			0.429045
$832$	−3.88450	+	52.8508i	−0.134671	+	1.83227i
$833$	−43.3670	−	8.47586i	−1.50258	−	0.293671i
$834$	−8.25886	−	30.8225i	−0.285981	−	1.06730i
$835$	3.54668	−	6.14303i	0.122738	−	0.212588i
$836$	−49.7849	−	86.2299i	−1.72185	−	2.98232i
$837$	−5.61834	+	5.61834i	−0.194198	+	0.194198i
$838$	1.97634	−	7.37582i	0.0682717	−	0.254793i
$839$	−52.8531	−	14.1619i	−1.82469	−	0.488925i	−0.827343	−	0.561696i	$-0.810149\pi$
$839$	−52.8531	−	14.1619i	−1.82469	−	0.488925i	−0.997349	+	0.0727716i	$0.976816\pi$
$840$	3.44369	−	35.5729i	0.118819	−	1.22738i
$841$	13.9448	+	24.1531i	0.480854	+	0.832864i
$842$	−44.2280	−	25.5351i	−1.52420	−	0.879996i
$843$	−5.72903	−	21.3810i	−0.197318	−	0.736402i
$844$		−	115.387i		−	3.97178i
$845$	12.9073	+	17.3843i	0.444023	+	0.598037i
$846$		−	10.7315i		−	0.368958i
$847$	16.5019	−	23.1097i	0.567012	−	0.794060i
$848$	−2.27987	+	3.94885i	−0.0782910	+	0.135604i
$849$	−24.8687	+	14.3579i	−0.853490	+	0.492763i
$850$	−26.3886	−	26.3886i	−0.905123	−	0.905123i
$851$	2.42827	+	0.650654i	0.0832401	+	0.0223041i
$852$	−21.8200	−	5.84665i	−0.747541	−	0.200303i
$853$	−21.1183	+	21.1183i	−0.723077	+	0.723077i	−0.969231	−	0.246154i	$-0.920833\pi$
$853$	−21.1183	+	21.1183i	−0.723077	+	0.723077i	0.246154	+	0.969231i	$0.420833\pi$
$854$	−32.1401	−	12.0355i	−1.09981	−	0.411846i
$855$	6.09595	+	3.51950i	0.208477	+	0.120364i
$856$	133.561	−	35.7875i	4.56501	−	1.22319i
$857$	30.2671			1.03390			0.516951	−	0.856015i	$-0.327067\pi$
$857$	30.2671			1.03390			0.516951	+	0.856015i	$0.327067\pi$
$858$	3.27231	−	44.5216i	0.111715	−	1.51994i
$859$			2.18372i			0.0745075i	0.999306	+	0.0372537i	$0.0118610\pi$
$859$			2.18372i			0.0745075i	−0.999306	+	0.0372537i	$0.988139\pi$
$860$	87.1212	−	23.3441i	2.97081	−	0.796026i
$861$	−3.36281	+	0.560968i	−0.114604	+	0.0191178i
$862$	−84.3170	+	48.6805i	−2.87185	+	1.65806i
$863$	22.7673	−	22.7673i	0.775006	−	0.775006i	−0.203971	−	0.978977i	$-0.565385\pi$
$863$	22.7673	−	22.7673i	0.775006	−	0.775006i	0.978977	+	0.203971i	$0.0653847\pi$
$864$	−3.66058	+	13.6615i	−0.124535	+	0.464772i
$865$	0.753456	−	2.81194i	0.0256183	−	0.0956087i
$866$	−0.278668	+	0.278668i	−0.00946954	+	0.00946954i
$867$	−19.7867	+	11.4238i	−0.671991	+	0.387974i
$868$	−104.791	+	17.4808i	−3.55684	+	0.593336i
$869$	4.17874	−	1.11969i	0.141754	−	0.0379829i
$870$		−	4.66137i		−	0.158035i
$871$	−7.22209	−	37.8726i	−0.244711	−	1.28327i
$872$	−17.9824			−0.608961
$873$	6.18160	−	1.65635i	0.209215	−	0.0560591i
$874$	41.2609	+	23.8220i	1.39567	+	0.805792i
$875$	11.1666	−	29.8198i	0.377500	−	1.00809i
$876$	−4.72730	+	4.72730i	−0.159721	+	0.159721i
$877$	−4.78095	−	1.28105i	−0.161441	−	0.0432580i	0.177193	−	0.984176i	$-0.443298\pi$
$877$	−4.78095	−	1.28105i	−0.161441	−	0.0432580i	−0.338634	+	0.940918i	$0.609965\pi$
$878$	−20.8181	−	5.57819i	−0.702577	−	0.188255i
$879$	16.3417	+	16.3417i	0.551190	+	0.551190i
$880$	−76.8770	+	44.3849i	−2.59152	+	1.49622i
$881$	−17.8019	+	30.8338i	−0.599762	+	1.03882i	0.393094	+	0.919498i	$0.371405\pi$
$881$	−17.8019	+	30.8338i	−0.599762	+	1.03882i	−0.992856	+	0.119320i	$0.961929\pi$
$882$	1.27783	+	18.5472i	0.0430269	+	0.624518i
$883$			16.6669i			0.560886i	0.959871	+	0.280443i	$0.0904814\pi$
$883$			16.6669i			0.560886i	−0.959871	+	0.280443i	$0.909519\pi$
$884$	95.1294	+	64.6587i	3.19955	+	2.17471i
$885$			14.2469i			0.478903i
$886$	−18.0064	−	67.2009i	−0.604937	−	2.25766i
$887$	−24.7682	−	14.2999i	−0.831635	−	0.480145i	0.0227770	−	0.999741i	$-0.492749\pi$
$887$	−24.7682	−	14.2999i	−0.831635	−	0.480145i	−0.854412	+	0.519596i	$0.826083\pi$
$888$	−2.40171	−	4.15989i	−0.0805962	−	0.139597i
$889$	−4.88282	−	0.472689i	−0.163764	−	0.0158535i
$890$	21.1800	+	5.67515i	0.709954	+	0.190231i
$891$	1.20658	−	4.50301i	0.0404219	−	0.150857i
$892$	−45.2957	+	45.2957i	−1.51661	+	1.51661i
$893$	8.53842	+	14.7890i	0.285727	+	0.494894i
$894$	6.55405	−	11.3519i	0.219200	−	0.379666i
$895$	−9.83467	−	36.7035i	−0.328737	−	1.22686i
$896$	−21.9529	+	18.0777i	−0.733396	+	0.603934i
$897$	6.66005	+	13.7792i	0.222373	+	0.460075i
$898$	9.78518			0.326536
$899$	−8.08753	+	2.16705i	−0.269734	+	0.0722750i
$900$	−5.62475	+	9.74235i	−0.187492	+	0.324745i
$901$	1.25881	+	2.18032i	0.0419370	+	0.0726371i
$902$	11.2815	+	11.2815i	0.375633	+	0.375633i
$903$	−25.8039	+	11.7436i	−0.858701	+	0.390801i
$904$	−12.7011	+	47.4013i	−0.422433	+	1.57654i
$905$	−16.1848	−	16.1848i	−0.538000	−	0.538000i
$906$	44.8513	−	25.8949i	1.49009	−	0.860301i
$907$	31.1299	+	17.9728i	1.03365	+	0.596778i	0.918028	−	0.396515i	$-0.129780\pi$
$907$	31.1299	+	17.9728i	1.03365	+	0.596778i	0.115622	+	0.993293i	$0.463114\pi$
$908$	15.1342	+	56.4815i	0.502245	+	1.87441i
$909$	0.945173			0.0313494
$910$	−7.13379	+	41.5900i	−0.236483	+	1.37869i
$911$	23.0425			0.763432			0.381716	−	0.924280i	$-0.375333\pi$
$911$	23.0425			0.763432			0.381716	+	0.924280i	$0.375333\pi$
$912$	−12.5056	−	46.6714i	−0.414101	−	1.54544i
$913$	44.4993	+	25.6917i	1.47271	+	0.850270i
$914$	−22.1919	+	12.8125i	−0.734043	+	0.423800i
$915$	−5.75208	−	5.75208i	−0.190158	−	0.190158i
$916$	16.8469	−	62.8733i	0.556636	−	2.07739i
$917$	5.42200	+	11.9137i	0.179050	+	0.393424i
$918$	11.8549	+	11.8549i	0.391268	+	0.391268i
$919$	−19.2005	−	33.2563i	−0.633367	−	1.09702i	−0.986859	−	0.161586i	$-0.948339\pi$
$919$	−19.2005	−	33.2563i	−0.633367	−	1.09702i	0.353492	−	0.935438i	$-0.384994\pi$
$920$	28.6688	−	49.6558i	0.945182	−	1.63710i
$921$	7.54947	−	2.02287i	0.248763	−	0.0666560i
$922$	19.5777			0.644759
$923$	15.2197	+	5.30114i	0.500962	+	0.174489i
$924$	48.1183	−	39.6242i	1.58298	−	1.30354i
$925$	−0.341214	−	1.27343i	−0.0112191	−	0.0418701i
$926$	−19.2816	+	33.3967i	−0.633633	+	1.09748i
$927$	4.02483	+	6.97120i	0.132193	+	0.228964i
$928$	−10.5387	+	10.5387i	−0.345950	+	0.345950i
$929$	0.718418	−	2.68117i	0.0235705	−	0.0879664i	−0.953139	−	0.302534i	$-0.902167\pi$
$929$	0.718418	−	2.68117i	0.0235705	−	0.0879664i	0.976709	+	0.214567i	$0.0688342\pi$
$930$	−33.9493	−	9.09669i	−1.11324	−	0.298292i
$931$	−16.5179	−	24.5430i	−0.541351	−	0.804365i
$932$	3.78102	+	6.54892i	0.123852	+	0.214517i
$933$	8.93808	+	5.16040i	0.292620	+	0.168944i
$934$	−23.4967	−	87.6908i	−0.768835	−	2.86933i
$935$			49.0135i			1.60291i
$936$	9.61860	−	27.6152i	0.314394	−	0.902631i
$937$		−	34.9632i		−	1.14220i	−0.820881	−	0.571100i	$-0.806517\pi$
$937$		−	34.9632i		−	1.14220i	0.820881	−	0.571100i	$-0.193483\pi$
$938$	43.6651	−	61.1499i	1.42572	−	1.99661i
$939$	−10.4683	+	18.1316i	−0.341619	+	0.591701i
$940$	29.4544	−	17.0055i	0.960697	−	0.554658i
$941$	−5.49420	−	5.49420i	−0.179106	−	0.179106i	0.611860	−	0.790966i	$-0.290422\pi$
$941$	−5.49420	−	5.49420i	−0.179106	−	0.179106i	−0.790966	+	0.611860i	$0.790422\pi$
$942$	51.2618	+	13.7356i	1.67020	+	0.447529i
$943$	−5.28324	−	1.41564i	−0.172046	−	0.0460996i
$944$	69.1513	−	69.1513i	2.25068	−	2.25068i
$945$	−1.54534	+	4.12675i	−0.0502700	+	0.134243i
$946$	114.898	+	66.3363i	3.73565	+	2.15678i
$947$	19.3584	−	5.18706i	0.629063	−	0.168557i	0.0698185	−	0.997560i	$-0.477758\pi$
$947$	19.3584	−	5.18706i	0.629063	−	0.168557i	0.559244	+	0.829003i	$0.311091\pi$
$948$	4.68981			0.152318
$949$	3.61081	−	3.11636i	0.117212	−	0.101161i
$950$		−	24.9854i		−	0.810633i
$951$	11.5512	−	3.09513i	0.374573	−	0.100367i
$952$	22.2878	+	133.608i	0.722353	+	4.33025i
$953$	−10.4017	+	6.00540i	−0.336943	+	0.194534i	−0.658919	−	0.752214i	$-0.728986\pi$
$953$	−10.4017	+	6.00540i	−0.336943	+	0.194534i	0.321977	+	0.946748i	$0.395653\pi$
$954$	0.749002	−	0.749002i	0.0242498	−	0.0242498i
$955$	−5.19517	+	19.3887i	−0.168112	+	0.627402i
$956$	5.90663	−	22.0438i	0.191034	−	0.712949i
$957$	3.47371	−	3.47371i	0.112289	−	0.112289i
$958$	81.7154	−	47.1784i	2.64010	−	1.52427i
$959$	−3.07065	−	18.4075i	−0.0991564	−	0.594408i
$960$	−23.6455	+	6.33579i	−0.763155	+	0.204487i
$961$			32.1314i			1.03650i
$962$	2.46805	+	5.10624i	0.0795732	+	0.164632i
$963$	−17.0488			−0.549390
$964$	46.8701	−	12.5588i	1.50959	−	0.404492i
$965$	−6.60290	−	3.81219i	−0.212555	−	0.122719i
$966$	−10.4598	+	27.9323i	−0.336538	+	0.898706i
$967$	−2.97257	+	2.97257i	−0.0955913	+	0.0955913i	−0.753285	−	0.657694i	$-0.771532\pi$
$967$	−2.97257	+	2.97257i	−0.0955913	+	0.0955913i	0.657694	+	0.753285i	$0.271532\pi$
$968$	−84.0821	−	22.5297i	−2.70250	−	0.724133i
$969$	−25.7692	−	6.90484i	−0.827826	−	0.221815i
$970$	20.0173	+	20.0173i	0.642718	+	0.642718i
$971$	25.0492	−	14.4622i	0.803867	−	0.464113i	−0.0409543	−	0.999161i	$-0.513040\pi$
$971$	25.0492	−	14.4622i	0.803867	−	0.464113i	0.844822	+	0.535048i	$0.179706\pi$
$972$	2.52687	−	4.37666i	0.0810493	−	0.140382i
$973$	−18.4727	+	25.8696i	−0.592206	+	0.829343i
$974$			60.5312i			1.93954i
$975$	4.51163	−	6.63776i	0.144488	−	0.212578i
$976$			55.8388i			1.78736i
$977$	−15.0612	−	56.2091i	−0.481850	−	1.79829i	−0.593845	−	0.804579i	$-0.702391\pi$
$977$	−15.0612	−	56.2091i	−0.481850	−	1.79829i	0.111995	−	0.993709i	$-0.464276\pi$
$978$	−13.0285	−	7.52203i	−0.416607	−	0.240528i
$979$	11.5544	+	20.0127i	0.369279	+	0.639610i
$980$	−48.8810	+	32.8977i	−1.56145	+	1.05088i
$981$	2.14166	+	0.573857i	0.0683780	+	0.0183218i
$982$	−10.2125	+	38.1135i	−0.325893	+	1.21625i
$983$	26.9928	−	26.9928i	0.860937	−	0.860937i	−0.130510	−	0.991447i	$-0.541661\pi$
$983$	26.9928	−	26.9928i	0.860937	−	0.860937i	0.991447	+	0.130510i	$0.0416615\pi$
$984$	5.22545	+	9.05075i	0.166581	+	0.288527i
$985$	−16.2734	+	28.1864i	−0.518514	+	0.898092i
$986$	4.57253	+	17.0649i	0.145619	+	0.543458i
$987$	−8.25260	+	6.79581i	−0.262683	+	0.216313i
$988$	14.4252	+	75.6456i	0.458926	+	2.40661i
$989$	−45.4837			−1.44630
$990$	19.9190	−	5.33728i	0.633067	−	0.169630i
$991$	−2.29062	+	3.96747i	−0.0727640	+	0.126031i	−0.900112	−	0.435659i	$-0.856515\pi$
$991$	−2.29062	+	3.96747i	−0.0727640	+	0.126031i	0.827348	+	0.561690i	$0.189849\pi$
$992$	56.1883	+	97.3211i	1.78398	+	3.08995i
$993$	18.3415	+	18.3415i	0.582051	+	0.582051i
$994$	13.0105	+	28.5879i	0.412669	+	0.906752i
$995$	−10.5610	+	39.4142i	−0.334806	+	1.24951i
$996$	39.3877	+	39.3877i	1.24805	+	1.24805i
$997$	−46.4148	+	26.7976i	−1.46997	+	0.848689i	−0.999432	−	0.0336896i	$-0.989274\pi$
$997$	−46.4148	+	26.7976i	−1.46997	+	0.848689i	−0.470540	+	0.882379i	$0.655941\pi$
$998$	−36.5255	−	21.0880i	−1.15619	−	0.667529i
$999$	0.153287	+	0.572076i	0.00484980	+	0.0180997i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.by.c.97.8	yes	32
3.2	odd	2		819.2.fm.f.370.1		32
7.6	odd	2		273.2.by.d.97.8	yes	32
13.11	odd	12		273.2.by.d.76.8	yes	32
21.20	even	2		819.2.fm.e.370.1		32
39.11	even	12		819.2.fm.e.622.1		32
91.76	even	12	inner	273.2.by.c.76.8	✓	32
273.167	odd	12		819.2.fm.f.622.1		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.by.c.76.8	✓	32	91.76	even	12	inner
273.2.by.c.97.8	yes	32	1.1	even	1	trivial
273.2.by.d.76.8	yes	32	13.11	odd	12
273.2.by.d.97.8	yes	32	7.6	odd	2
819.2.fm.e.370.1		32	21.20	even	2
819.2.fm.e.622.1		32	39.11	even	12
819.2.fm.f.370.1		32	3.2	odd	2
819.2.fm.f.622.1		32	273.167	odd	12

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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.by (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.687394 + 2.56539i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-4.37666 + 2.52687i) q^{4} +(1.17771 + 1.17771i) q^{5} +(-0.687394 + 2.56539i) q^{6} +(2.40809 - 1.09594i) q^{7} +(-5.73490 - 5.73490i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(q+(0.687394 + 2.56539i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-4.37666 + 2.52687i) q^{4} +(1.17771 + 1.17771i) q^{5} +(-0.687394 + 2.56539i) q^{6} +(2.40809 - 1.09594i) q^{7} +(-5.73490 - 5.73490i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-2.21174 + 3.83085i) q^{10} +(-4.50301 + 1.20658i) q^{11} -5.05373 q^{12} +(3.59585 + 0.264293i) q^{13} +(4.46682 + 5.42436i) q^{14} +(0.431073 + 1.60879i) q^{15} +(5.71638 - 9.90107i) q^{16} +(-3.15625 - 5.46679i) q^{17} +(-1.87800 + 1.87800i) q^{18} +(1.09384 - 4.08225i) q^{19} +(-8.13039 - 2.17853i) q^{20} +(2.63344 + 0.254935i) q^{21} +(-6.19069 - 10.7226i) q^{22} +(3.67599 + 2.12233i) q^{23} +(-2.09912 - 7.83402i) q^{24} -2.22598i q^{25} +(1.79375 + 9.40643i) q^{26} +1.00000i q^{27} +(-7.77012 + 10.8815i) q^{28} +(-0.526889 + 0.912598i) q^{29} +(-3.83085 + 2.21174i) q^{30} +(5.61834 + 5.61834i) q^{31} +(13.6615 + 3.66058i) q^{32} +(-4.50301 - 1.20658i) q^{33} +(11.8549 - 11.8549i) q^{34} +(4.12675 + 1.54534i) q^{35} +(-4.37666 - 2.52687i) q^{36} +(0.572076 - 0.153287i) q^{37} +11.2245 q^{38} +(2.98195 + 2.02681i) q^{39} -13.5081i q^{40} +(-1.24468 + 0.333510i) q^{41} +(1.15620 + 6.93104i) q^{42} +(-9.27990 + 5.35775i) q^{43} +(16.6593 - 16.6593i) q^{44} +(-0.431073 + 1.60879i) q^{45} +(-2.91776 + 10.8892i) q^{46} +(-2.85718 + 2.85718i) q^{47} +(9.90107 - 5.71638i) q^{48} +(4.59783 - 5.27825i) q^{49} +(5.71050 - 1.53012i) q^{50} -6.31250i q^{51} +(-16.4057 + 7.92952i) q^{52} -0.398831 q^{53} +(-2.56539 + 0.687394i) q^{54} +(-6.72427 - 3.88226i) q^{55} +(-20.0953 - 7.52507i) q^{56} +(2.98841 - 2.98841i) q^{57} +(-2.70335 - 0.724361i) q^{58} +(8.26243 + 2.21391i) q^{59} +(-5.95186 - 5.95186i) q^{60} +(-4.22976 + 2.44205i) q^{61} +(-10.5512 + 18.2752i) q^{62} +(2.15316 + 1.53750i) q^{63} +14.6977i q^{64} +(3.92362 + 4.54615i) q^{65} -12.3814i q^{66} +(-2.76762 - 10.3289i) q^{67} +(27.6277 + 15.9509i) q^{68} +(2.12233 + 3.67599i) q^{69} +(-1.12770 + 11.6490i) q^{70} +(4.31760 + 1.15690i) q^{71} +(2.09912 - 7.83402i) q^{72} +(0.935407 - 0.935407i) q^{73} +(0.786484 + 1.36223i) q^{74} +(1.11299 - 1.92775i) q^{75} +(5.52795 + 20.6306i) q^{76} +(-9.52134 + 7.84059i) q^{77} +(-3.14978 + 9.04309i) q^{78} -0.927988 q^{79} +(18.3929 - 4.92836i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-1.71117 - 2.96383i) q^{82} +(-7.79378 - 7.79378i) q^{83} +(-12.1699 + 5.53859i) q^{84} +(2.72115 - 10.1555i) q^{85} +(-20.1237 - 20.1237i) q^{86} +(-0.912598 + 0.526889i) q^{87} +(32.7439 + 18.9047i) q^{88} +(-1.28296 - 4.78807i) q^{89} -4.42348 q^{90} +(8.94880 - 3.30440i) q^{91} -21.4514 q^{92} +(2.05645 + 7.67479i) q^{93} +(-9.29378 - 5.36577i) q^{94} +(6.09595 - 3.51950i) q^{95} +(10.0009 + 10.0009i) q^{96} +(1.65635 - 6.18160i) q^{97} +(16.7013 + 8.16698i) q^{98} +(-3.29643 - 3.29643i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q - 2 q^{2} + 6 q^{4} - 2 q^{5} + 2 q^{6} - 2 q^{7} + 2 q^{8} + 16 q^{9}+O(q^{10}) \) 32 * q - 2 * q^2 + 6 * q^4 - 2 * q^5 + 2 * q^6 - 2 * q^7 + 2 * q^8 + 16 * q^9	\( 32 q - 2 q^{2} + 6 q^{4} - 2 q^{5} + 2 q^{6} - 2 q^{7} + 2 q^{8} + 16 q^{9} - 2 q^{10} - 4 q^{11} - 32 q^{12} - 6 q^{13} + 34 q^{14} + 4 q^{15} + 14 q^{16} + 8 q^{17} + 2 q^{18} - 2 q^{19} - 44 q^{20} + 2 q^{21} - 4 q^{22} - 18 q^{23} - 4 q^{24} + 28 q^{26} - 18 q^{28} - 18 q^{29} + 14 q^{31} - 8 q^{32} - 4 q^{33} + 66 q^{34} - 20 q^{35} + 6 q^{36} - 24 q^{37} - 24 q^{38} + 8 q^{39} + 16 q^{42} - 6 q^{43} - 20 q^{44} - 4 q^{45} - 58 q^{46} + 28 q^{47} + 60 q^{48} + 10 q^{49} + 70 q^{50} - 28 q^{52} - 80 q^{53} + 4 q^{54} - 60 q^{55} - 120 q^{56} + 16 q^{57} - 4 q^{58} + 42 q^{59} - 58 q^{60} - 36 q^{61} - 52 q^{62} + 2 q^{63} + 14 q^{65} + 26 q^{67} + 72 q^{68} - 2 q^{69} + 68 q^{70} - 4 q^{71} + 4 q^{72} - 12 q^{73} - 18 q^{74} - 16 q^{75} + 48 q^{76} - 28 q^{77} - 14 q^{78} - 4 q^{79} + 98 q^{80} - 16 q^{81} - 20 q^{82} + 36 q^{83} + 32 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} + 54 q^{89} - 4 q^{90} - 54 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} - 22 q^{96} + 40 q^{97} + 4 q^{99}+O(q^{100}) \) 32 * q - 2 * q^2 + 6 * q^4 - 2 * q^5 + 2 * q^6 - 2 * q^7 + 2 * q^8 + 16 * q^9 - 2 * q^10 - 4 * q^11 - 32 * q^12 - 6 * q^13 + 34 * q^14 + 4 * q^15 + 14 * q^16 + 8 * q^17 + 2 * q^18 - 2 * q^19 - 44 * q^20 + 2 * q^21 - 4 * q^22 - 18 * q^23 - 4 * q^24 + 28 * q^26 - 18 * q^28 - 18 * q^29 + 14 * q^31 - 8 * q^32 - 4 * q^33 + 66 * q^34 - 20 * q^35 + 6 * q^36 - 24 * q^37 - 24 * q^38 + 8 * q^39 + 16 * q^42 - 6 * q^43 - 20 * q^44 - 4 * q^45 - 58 * q^46 + 28 * q^47 + 60 * q^48 + 10 * q^49 + 70 * q^50 - 28 * q^52 - 80 * q^53 + 4 * q^54 - 60 * q^55 - 120 * q^56 + 16 * q^57 - 4 * q^58 + 42 * q^59 - 58 * q^60 - 36 * q^61 - 52 * q^62 + 2 * q^63 + 14 * q^65 + 26 * q^67 + 72 * q^68 - 2 * q^69 + 68 * q^70 - 4 * q^71 + 4 * q^72 - 12 * q^73 - 18 * q^74 - 16 * q^75 + 48 * q^76 - 28 * q^77 - 14 * q^78 - 4 * q^79 + 98 * q^80 - 16 * q^81 - 20 * q^82 + 36 * q^83 + 32 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 + 54 * q^89 - 4 * q^90 - 54 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 - 22 * q^96 + 40 * q^97 + 4 * q^99

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