LMFDB - Embedded newform 525.2.n.b.106.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [525,2,Mod(106,525)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(525, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 4, 0]))

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

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

chi := DirichletCharacter("525.106");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 525 = 3 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	525.n (of order $5$, 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:	$4.19214610612$
Analytic rank:	$0$
Dimension:	$20$
Relative dimension:	$5$ over $\Q(\zeta_{5})$
Coefficient field:	$\mathbb{Q}[x]/(x^{20} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{20} - 8 x^{19} + 31 x^{18} - 74 x^{17} + 109 x^{16} - 72 x^{15} - 51 x^{14} + 9 x^{13} + 866 x^{12} + \cdots + 3125 $ x^20 - 8x^19 + 31x^18 - 74x^17 + 109x^16 - 72x^15 - 51x^14 + 9x^13 + 866x^12 - 3240x^11 + 6385x^10 - 6775x^9 + 330x^8 + 11325x^7 - 18525x^6 + 12000x^5 + 5875x^4 - 21250x^3 + 22500x^2 - 12500*x + 3125
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 5^{2} $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			106.1
Root			$1.14677 + 0.258633i$ of defining polynomial
Character	$\chi$	$=$	525.106
Dual form			525.2.n.b.421.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.724838 - 2.23082i) q^{2} +(0.809017 - 0.587785i) q^{3} +(-2.83314 + 2.05840i) q^{4} +(0.884129 + 2.05385i) q^{5} +(-1.89765 - 1.37872i) q^{6} -1.00000 q^{7} +(2.85019 + 2.07078i) q^{8} +(0.309017 - 0.951057i) q^{9} +O(q^{10})$	\(q+(-0.724838 - 2.23082i) q^{2} +(0.809017 - 0.587785i) q^{3} +(-2.83314 + 2.05840i) q^{4} +(0.884129 + 2.05385i) q^{5} +(-1.89765 - 1.37872i) q^{6} -1.00000 q^{7} +(2.85019 + 2.07078i) q^{8} +(0.309017 - 0.951057i) q^{9} +(3.94093 - 3.46105i) q^{10} +(-0.733310 - 2.25690i) q^{11} +(-1.08216 + 3.33056i) q^{12} +(2.06160 - 6.34497i) q^{13} +(0.724838 + 2.23082i) q^{14} +(1.92250 + 1.14192i) q^{15} +(0.389294 - 1.19812i) q^{16} +(-5.57125 - 4.04775i) q^{17} -2.34562 q^{18} +(0.145282 + 0.105554i) q^{19} +(-6.73251 - 3.99897i) q^{20} +(-0.809017 + 0.587785i) q^{21} +(-4.50320 + 3.27177i) q^{22} +(-2.19964 - 6.76981i) q^{23} +3.52302 q^{24} +(-3.43663 + 3.63174i) q^{25} -15.6488 q^{26} +(-0.309017 - 0.951057i) q^{27} +(2.83314 - 2.05840i) q^{28} +(2.78482 - 2.02329i) q^{29} +(1.15393 - 5.11647i) q^{30} +(2.34858 + 1.70635i) q^{31} +4.09107 q^{32} +(-1.91983 - 1.39484i) q^{33} +(-4.99156 + 15.3624i) q^{34} +(-0.884129 - 2.05385i) q^{35} +(1.08216 + 3.33056i) q^{36} +(0.00316176 - 0.00973088i) q^{37} +(0.130166 - 0.400608i) q^{38} +(-2.06160 - 6.34497i) q^{39} +(-1.73315 + 7.68470i) q^{40} +(2.49666 - 7.68393i) q^{41} +(1.89765 + 1.37872i) q^{42} +8.29474 q^{43} +(6.72316 + 4.88466i) q^{44} +(2.22654 - 0.206181i) q^{45} +(-13.5078 + 9.81403i) q^{46} +(-1.46115 + 1.06159i) q^{47} +(-0.389294 - 1.19812i) q^{48} +1.00000 q^{49} +(10.5928 + 5.03408i) q^{50} -6.88645 q^{51} +(7.21965 + 22.2198i) q^{52} +(0.764121 - 0.555166i) q^{53} +(-1.89765 + 1.37872i) q^{54} +(3.98699 - 3.50150i) q^{55} +(-2.85019 - 2.07078i) q^{56} +0.179579 q^{57} +(-6.53215 - 4.74588i) q^{58} +(-3.67251 + 11.3028i) q^{59} +(-7.79725 + 0.722038i) q^{60} +(0.945379 + 2.90958i) q^{61} +(2.10421 - 6.47609i) q^{62} +(-0.309017 + 0.951057i) q^{63} +(-3.74395 - 11.5227i) q^{64} +(14.8544 - 1.37554i) q^{65} +(-1.72007 + 5.29383i) q^{66} +(9.67145 + 7.02672i) q^{67} +24.1160 q^{68} +(-5.75874 - 4.18397i) q^{69} +(-3.94093 + 3.46105i) q^{70} +(-3.55634 + 2.58383i) q^{71} +(2.85019 - 2.07078i) q^{72} +(2.51112 + 7.72843i) q^{73} -0.0239996 q^{74} +(-0.645607 + 4.95814i) q^{75} -0.628877 q^{76} +(0.733310 + 2.25690i) q^{77} +(-12.6602 + 9.19814i) q^{78} +(-1.52385 + 1.10714i) q^{79} +(2.80496 - 0.259743i) q^{80} +(-0.809017 - 0.587785i) q^{81} -18.9512 q^{82} +(10.4788 + 7.61326i) q^{83} +(1.08216 - 3.33056i) q^{84} +(3.38778 - 15.0213i) q^{85} +(-6.01234 - 18.5041i) q^{86} +(1.06371 - 3.27375i) q^{87} +(2.58347 - 7.95110i) q^{88} +(-3.58739 - 11.0409i) q^{89} +(-2.07384 - 4.81757i) q^{90} +(-2.06160 + 6.34497i) q^{91} +(20.1669 + 14.6521i) q^{92} +2.90301 q^{93} +(3.42732 + 2.49009i) q^{94} +(-0.0883437 + 0.391712i) q^{95} +(3.30975 - 2.40467i) q^{96} +(-8.48646 + 6.16577i) q^{97} +(-0.724838 - 2.23082i) q^{98} -2.37304 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 20 q - 2 q^{2} + 5 q^{3} + 5 q^{5} - 3 q^{6} - 20 q^{7} + 4 q^{8} - 5 q^{9}+O(q^{10}) $ 20 * q - 2 * q^2 + 5 * q^3 + 5 * q^5 - 3 * q^6 - 20 * q^7 + 4 * q^8 - 5 * q^9	\( 20 q - 2 q^{2} + 5 q^{3} + 5 q^{5} - 3 q^{6} - 20 q^{7} + 4 q^{8} - 5 q^{9} - 15 q^{10} + 12 q^{11} + 5 q^{12} - 17 q^{13} + 2 q^{14} + 15 q^{15} - 28 q^{16} - 9 q^{17} - 2 q^{18} - 9 q^{19} - 20 q^{20} - 5 q^{21} - 21 q^{22} + 7 q^{23} + 6 q^{24} - 15 q^{25} - 20 q^{26} + 5 q^{27} + 28 q^{29} + 6 q^{31} - 4 q^{32} + 3 q^{33} - 5 q^{35} - 5 q^{36} - 5 q^{37} - 6 q^{38} + 17 q^{39} - 10 q^{40} + 11 q^{41} + 3 q^{42} + 28 q^{43} - 17 q^{44} + 5 q^{45} - 43 q^{46} - 24 q^{47} + 28 q^{48} + 20 q^{49} + 10 q^{50} - 36 q^{51} - 9 q^{52} - 26 q^{53} - 3 q^{54} - 25 q^{55} - 4 q^{56} + 24 q^{57} - 16 q^{58} + 64 q^{59} + 5 q^{60} + 8 q^{61} + 27 q^{62} + 5 q^{63} + 26 q^{64} + 25 q^{65} - 4 q^{66} - 3 q^{67} + 80 q^{68} - 2 q^{69} + 15 q^{70} + 19 q^{71} + 4 q^{72} + 31 q^{73} + 8 q^{74} - 5 q^{75} - 72 q^{76} - 12 q^{77} - 30 q^{78} + 43 q^{79} - 25 q^{80} - 5 q^{81} - 6 q^{82} + 32 q^{83} - 5 q^{84} + 35 q^{85} + 53 q^{86} + 17 q^{87} - 61 q^{88} - 47 q^{89} + 10 q^{90} + 17 q^{91} + 41 q^{92} + 4 q^{93} + 12 q^{94} - 40 q^{95} - 6 q^{96} - 45 q^{97} - 2 q^{98} - 18 q^{99}+O(q^{100}) \) 20 * q - 2 * q^2 + 5 * q^3 + 5 * q^5 - 3 * q^6 - 20 * q^7 + 4 * q^8 - 5 * q^9 - 15 * q^10 + 12 * q^11 + 5 * q^12 - 17 * q^13 + 2 * q^14 + 15 * q^15 - 28 * q^16 - 9 * q^17 - 2 * q^18 - 9 * q^19 - 20 * q^20 - 5 * q^21 - 21 * q^22 + 7 * q^23 + 6 * q^24 - 15 * q^25 - 20 * q^26 + 5 * q^27 + 28 * q^29 + 6 * q^31 - 4 * q^32 + 3 * q^33 - 5 * q^35 - 5 * q^36 - 5 * q^37 - 6 * q^38 + 17 * q^39 - 10 * q^40 + 11 * q^41 + 3 * q^42 + 28 * q^43 - 17 * q^44 + 5 * q^45 - 43 * q^46 - 24 * q^47 + 28 * q^48 + 20 * q^49 + 10 * q^50 - 36 * q^51 - 9 * q^52 - 26 * q^53 - 3 * q^54 - 25 * q^55 - 4 * q^56 + 24 * q^57 - 16 * q^58 + 64 * q^59 + 5 * q^60 + 8 * q^61 + 27 * q^62 + 5 * q^63 + 26 * q^64 + 25 * q^65 - 4 * q^66 - 3 * q^67 + 80 * q^68 - 2 * q^69 + 15 * q^70 + 19 * q^71 + 4 * q^72 + 31 * q^73 + 8 * q^74 - 5 * q^75 - 72 * q^76 - 12 * q^77 - 30 * q^78 + 43 * q^79 - 25 * q^80 - 5 * q^81 - 6 * q^82 + 32 * q^83 - 5 * q^84 + 35 * q^85 + 53 * q^86 + 17 * q^87 - 61 * q^88 - 47 * q^89 + 10 * q^90 + 17 * q^91 + 41 * q^92 + 4 * q^93 + 12 * q^94 - 40 * q^95 - 6 * q^96 - 45 * q^97 - 2 * q^98 - 18 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/525\mathbb{Z}\right)^\times$.

$n$	$127$	$176$	$451$
$\chi(n)$	$e\left(\frac{2}{5}\right)$	$1$	$1$

Coefficient data

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

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

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

$2$	−0.724838	−	2.23082i	−0.512538	−	1.57743i	−0.787718	−	0.616036i	$-0.788737\pi$
$2$	−0.724838	−	2.23082i	−0.512538	−	1.57743i	0.275180	−	0.961393i	$-0.411263\pi$
$3$	0.809017	−	0.587785i	0.467086	−	0.339358i
$3$	0.809017	−	0.587785i	0.467086	−	0.339358i
$4$	−2.83314	+	2.05840i	−1.41657	+	1.02920i
$5$	0.884129	+	2.05385i	0.395395	+	0.918511i
$5$	0.884129	+	2.05385i	0.395395	+	0.918511i
$6$	−1.89765	−	1.37872i	−0.774712	−	0.562862i
$7$	−1.00000			−0.377964
$7$	−1.00000			−0.377964
$8$	2.85019	+	2.07078i	1.00769	+	0.732132i
$9$	0.309017	−	0.951057i	0.103006	−	0.317019i
$10$	3.94093	−	3.46105i	1.24623	−	1.09448i
$11$	−0.733310	−	2.25690i	−0.221101	−	0.680480i	−0.998664	−	0.0516743i	$-0.983544\pi$
$11$	−0.733310	−	2.25690i	−0.221101	−	0.680480i	0.777563	−	0.628805i	$-0.216456\pi$
$12$	−1.08216	+	3.33056i	−0.312394	+	0.961449i
$13$	2.06160	−	6.34497i	0.571786	−	1.75978i	−0.0750847	−	0.997177i	$-0.523923\pi$
$13$	2.06160	−	6.34497i	0.571786	−	1.75978i	0.646871	−	0.762600i	$-0.276077\pi$
$14$	0.724838	+	2.23082i	0.193721	+	0.596212i
$15$	1.92250	+	1.14192i	0.496388	+	0.294844i
$16$	0.389294	−	1.19812i	0.0973235	−	0.299531i
$17$	−5.57125	−	4.04775i	−1.35123	−	0.981724i	−0.998949	−	0.0458288i	$-0.985407\pi$
$17$	−5.57125	−	4.04775i	−1.35123	−	0.981724i	−0.352278	−	0.935895i	$-0.614593\pi$
$18$	−2.34562			−0.552869
$19$	0.145282	+	0.105554i	0.0333301	+	0.0242157i	0.604326	−	0.796737i	$-0.293443\pi$
$19$	0.145282	+	0.105554i	0.0333301	+	0.0242157i	−0.570996	+	0.820953i	$0.693443\pi$
$20$	−6.73251	−	3.99897i	−1.50544	−	0.894197i
$21$	−0.809017	+	0.587785i	−0.176542	+	0.128265i
$22$	−4.50320	+	3.27177i	−0.960086	+	0.697543i
$23$	−2.19964	−	6.76981i	−0.458657	−	1.41160i	−0.866787	−	0.498679i	$-0.833819\pi$
$23$	−2.19964	−	6.76981i	−0.458657	−	1.41160i	0.408130	−	0.912924i	$-0.366181\pi$
$24$	3.52302			0.719134
$25$	−3.43663	+	3.63174i	−0.687326	+	0.726349i
$26$	−15.6488			−3.06899
$27$	−0.309017	−	0.951057i	−0.0594703	−	0.183031i
$28$	2.83314	−	2.05840i	0.535413	−	0.389001i
$29$	2.78482	−	2.02329i	0.517128	−	0.375716i	−0.298393	−	0.954443i	$-0.596450\pi$
$29$	2.78482	−	2.02329i	0.517128	−	0.375716i	0.815521	+	0.578727i	$0.196450\pi$
$30$	1.15393	−	5.11647i	0.210678	−	0.934135i
$31$	2.34858	+	1.70635i	0.421818	+	0.306469i	0.778369	−	0.627807i	$-0.216047\pi$
$31$	2.34858	+	1.70635i	0.421818	+	0.306469i	−0.356551	+	0.934276i	$0.616047\pi$
$32$	4.09107			0.723206
$33$	−1.91983	−	1.39484i	−0.334200	−	0.242810i
$34$	−4.99156	+	15.3624i	−0.856045	+	2.63464i
$35$	−0.884129	−	2.05385i	−0.149445	−	0.347165i
$36$	1.08216	+	3.33056i	0.180361	+	0.555093i
$37$	0.00316176	−	0.00973088i	0.000519789	−	0.00159975i	−0.950796	−	0.309817i	$-0.899732\pi$
$37$	0.00316176	−	0.00973088i	0.000519789	−	0.00159975i	0.951316	+	0.308217i	$0.0997323\pi$
$38$	0.130166	−	0.400608i	0.0211156	−	0.0649873i
$39$	−2.06160	−	6.34497i	−0.330121	−	1.01601i
$40$	−1.73315	+	7.68470i	−0.274035	+	1.21506i
$41$	2.49666	−	7.68393i	0.389913	−	1.20003i	−0.542940	−	0.839771i	$-0.682689\pi$
$41$	2.49666	−	7.68393i	0.389913	−	1.20003i	0.932853	−	0.360257i	$-0.117311\pi$
$42$	1.89765	+	1.37872i	0.292814	+	0.212742i
$43$	8.29474			1.26494			0.632468	−	0.774586i	$-0.282042\pi$
$43$	8.29474			1.26494			0.632468	+	0.774586i	$0.282042\pi$
$44$	6.72316	+	4.88466i	1.01355	+	0.736390i
$45$	2.22654	−	0.206181i	0.331913	−	0.0307357i
$46$	−13.5078	+	9.81403i	−1.99162	+	1.44700i
$47$	−1.46115	+	1.06159i	−0.213131	+	0.154849i	−0.689229	−	0.724543i	$-0.742051\pi$
$47$	−1.46115	+	1.06159i	−0.213131	+	0.154849i	0.476098	+	0.879392i	$0.342051\pi$
$48$	−0.389294	−	1.19812i	−0.0561897	−	0.172934i
$49$	1.00000			0.142857
$50$	10.5928	+	5.03408i	1.49804	+	0.711927i
$51$	−6.88645			−0.964296
$52$	7.21965	+	22.2198i	1.00118	+	3.08133i
$53$	0.764121	−	0.555166i	0.104960	−	0.0762580i	−0.534067	−	0.845442i	$-0.679337\pi$
$53$	0.764121	−	0.555166i	0.104960	−	0.0762580i	0.639027	+	0.769184i	$0.279337\pi$
$54$	−1.89765	+	1.37872i	−0.258237	+	0.187621i
$55$	3.98699	−	3.50150i	0.537606	−	0.472142i
$56$	−2.85019	−	2.07078i	−0.380872	−	0.276720i
$57$	0.179579			0.0237858
$58$	−6.53215	−	4.74588i	−0.857713	−	0.623165i
$59$	−3.67251	+	11.3028i	−0.478121	+	1.47150i	0.363582	+	0.931562i	$0.381554\pi$
$59$	−3.67251	+	11.3028i	−0.478121	+	1.47150i	−0.841702	+	0.539942i	$0.818446\pi$
$60$	−7.79725	+	0.722038i	−1.00662	+	0.0932146i
$61$	0.945379	+	2.90958i	0.121043	+	0.372533i	0.993159	−	0.116766i	$-0.0372527\pi$
$61$	0.945379	+	2.90958i	0.121043	+	0.372533i	−0.872116	+	0.489299i	$0.837253\pi$
$62$	2.10421	−	6.47609i	0.267235	−	0.822465i
$63$	−0.309017	+	0.951057i	−0.0389325	+	0.119822i
$64$	−3.74395	−	11.5227i	−0.467994	−	1.44034i
$65$	14.8544	−	1.37554i	1.84246	−	0.170614i
$66$	−1.72007	+	5.29383i	−0.211726	+	0.651625i
$67$	9.67145	+	7.02672i	1.18156	+	0.858451i	0.992346	−	0.123486i	$-0.0394075\pi$
$67$	9.67145	+	7.02672i	1.18156	+	0.858451i	0.189209	+	0.981937i	$0.439407\pi$
$68$	24.1160			2.92450
$69$	−5.75874	−	4.18397i	−0.693271	−	0.503691i
$70$	−3.94093	+	3.46105i	−0.471031	+	0.413674i
$71$	−3.55634	+	2.58383i	−0.422060	+	0.306644i	−0.778466	−	0.627687i	$-0.784002\pi$
$71$	−3.55634	+	2.58383i	−0.422060	+	0.306644i	0.356406	+	0.934331i	$0.384002\pi$
$72$	2.85019	−	2.07078i	0.335898	−	0.244044i
$73$	2.51112	+	7.72843i	0.293904	+	0.904544i	0.983587	+	0.180433i	$0.0577498\pi$
$73$	2.51112	+	7.72843i	0.293904	+	0.904544i	−0.689683	+	0.724111i	$0.742250\pi$
$74$	−0.0239996			−0.00278990
$75$	−0.645607	+	4.95814i	−0.0745482	+	0.572517i
$76$	−0.628877			−0.0721372
$77$	0.733310	+	2.25690i	0.0835684	+	0.257197i
$78$	−12.6602	+	9.19814i	−1.43348	+	1.04148i
$79$	−1.52385	+	1.10714i	−0.171447	+	0.124563i	−0.670200	−	0.742181i	$-0.733792\pi$
$79$	−1.52385	+	1.10714i	−0.171447	+	0.124563i	0.498753	+	0.866744i	$0.333792\pi$
$80$	2.80496	−	0.259743i	0.313604	−	0.0290402i
$81$	−0.809017	−	0.587785i	−0.0898908	−	0.0653095i
$82$	−18.9512			−2.09280
$83$	10.4788	+	7.61326i	1.15019	+	0.835664i	0.988506	−	0.151178i	$-0.0483068\pi$
$83$	10.4788	+	7.61326i	1.15019	+	0.835664i	0.161686	+	0.986842i	$0.448307\pi$
$84$	1.08216	−	3.33056i	0.118074	−	0.363394i
$85$	3.38778	−	15.0213i	0.367457	−	1.62929i
$86$	−6.01234	−	18.5041i	−0.648328	−	1.99535i
$87$	1.06371	−	3.27375i	0.114041	−	0.350983i
$88$	2.58347	−	7.95110i	0.275399	−	0.847590i
$89$	−3.58739	−	11.0409i	−0.380263	−	1.17033i	−0.939859	−	0.341563i	$-0.889044\pi$
$89$	−3.58739	−	11.0409i	−0.380263	−	1.17033i	0.559596	−	0.828766i	$-0.310956\pi$
$90$	−2.07384	−	4.81757i	−0.218601	−	0.507816i
$91$	−2.06160	+	6.34497i	−0.216115	+	0.665133i
$92$	20.1669	+	14.6521i	2.10254	+	1.52759i
$93$	2.90301			0.301028
$94$	3.42732	+	2.49009i	0.353501	+	0.256833i
$95$	−0.0883437	+	0.391712i	−0.00906387	+	0.0401888i
$96$	3.30975	−	2.40467i	0.337800	−	0.245426i
$97$	−8.48646	+	6.16577i	−0.861669	+	0.626039i	−0.928339	−	0.371736i	$-0.878763\pi$
$97$	−8.48646	+	6.16577i	−0.861669	+	0.626039i	0.0666694	+	0.997775i	$0.478763\pi$
$98$	−0.724838	−	2.23082i	−0.0732197	−	0.225347i
$99$	−2.37304			−0.238500
$100$	2.26089	−	17.3632i	0.226089	−	1.73632i
$101$	−16.3450			−1.62639			−0.813193	−	0.581994i	$-0.802273\pi$
$101$	−16.3450			−1.62639			−0.813193	+	0.581994i	$0.802273\pi$
$102$	4.99156	+	15.3624i	0.494238	+	1.52111i
$103$	1.24903	−	0.907475i	0.123071	−	0.0894162i	−0.524547	−	0.851381i	$-0.675765\pi$
$103$	1.24903	−	0.907475i	0.123071	−	0.0894162i	0.647618	+	0.761965i	$0.275765\pi$
$104$	19.0150	−	13.8152i	1.86457	−	1.35469i
$105$	−1.92250	−	1.14192i	−0.187617	−	0.111440i
$106$	−1.79234	−	1.30221i	−0.174088	−	0.126482i
$107$	−3.29647			−0.318682			−0.159341	−	0.987224i	$-0.550937\pi$
$107$	−3.29647			−0.318682			−0.159341	+	0.987224i	$0.550937\pi$
$108$	2.83314	+	2.05840i	0.272619	+	0.198069i
$109$	−3.60250	+	11.0873i	−0.345057	+	1.06197i	0.616497	+	0.787357i	$0.288551\pi$
$109$	−3.60250	+	11.0873i	−0.345057	+	1.06197i	−0.961554	+	0.274618i	$0.911449\pi$
$110$	−10.7011	−	6.35625i	−1.02031	−	0.606045i
$111$	−0.00316176	−	0.00973088i	−0.000300101	−	0.000923614i
$112$	−0.389294	+	1.19812i	−0.0367848	+	0.113212i
$113$	3.43522	−	10.5725i	0.323158	−	0.994579i	−0.649107	−	0.760697i	$-0.724857\pi$
$113$	3.43522	−	10.5725i	0.323158	−	0.994579i	0.972265	−	0.233882i	$-0.0751429\pi$
$114$	−0.130166	−	0.400608i	−0.0121911	−	0.0375204i
$115$	11.9594	−	10.5031i	1.11522	−	0.979422i
$116$	−3.72506	+	11.4645i	−0.345863	+	1.06446i
$117$	−5.39735	−	3.92140i	−0.498985	−	0.362534i
$118$	27.8766			2.56625
$119$	5.57125	+	4.04775i	0.510716	+	0.371057i
$120$	3.11481	+	7.23578i	0.284342	+	0.660533i
$121$	4.34335	−	3.15563i	0.394850	−	0.286875i
$122$	5.80550	−	4.21795i	0.525606	−	0.381875i
$123$	−2.49666	−	7.68393i	−0.225116	−	0.692837i
$124$	−10.1662			−0.912952
$125$	−10.4975	−	3.84740i	−0.938925	−	0.344122i
$126$	2.34562			0.208965
$127$	−1.81415	−	5.58337i	−0.160979	−	0.495444i	0.837738	−	0.546072i	$-0.183878\pi$
$127$	−1.81415	−	5.58337i	−0.160979	−	0.495444i	−0.998718	+	0.0506285i	$0.983878\pi$
$128$	−16.3718	+	11.8948i	−1.44708	+	1.05137i
$129$	6.71059	−	4.87553i	0.590834	−	0.429266i
$130$	−13.8356	−	32.1404i	−1.21346	−	2.81890i
$131$	17.0865	+	12.4141i	1.49285	+	1.08462i	0.973121	+	0.230293i	$0.0739683\pi$
$131$	17.0865	+	12.4141i	1.49285	+	1.08462i	0.519732	+	0.854329i	$0.326032\pi$
$132$	8.31028			0.723317
$133$	−0.145282	−	0.105554i	−0.0125976	−	0.00915268i
$134$	8.66513	−	26.6685i	0.748553	−	2.30381i
$135$	1.68012	−	1.47553i	0.144602	−	0.126994i
$136$	−7.49710	−	23.0737i	−0.642871	−	1.97855i
$137$	4.69781	−	14.4584i	0.401361	−	1.23526i	−0.522535	−	0.852618i	$-0.675014\pi$
$137$	4.69781	−	14.4584i	0.401361	−	1.23526i	0.923896	−	0.382644i	$-0.124986\pi$
$138$	−5.15954	+	15.8794i	−0.439209	+	1.35175i
$139$	−2.12580	−	6.54254i	−0.180308	−	0.554931i	0.819528	−	0.573039i	$-0.194236\pi$
$139$	−2.12580	−	6.54254i	−0.180308	−	0.554931i	−0.999836	+	0.0181080i	$0.994236\pi$
$140$	6.73251	+	3.99897i	0.569001	+	0.337975i
$141$	−0.558111	+	1.71769i	−0.0470014	+	0.144656i
$142$	8.34183	+	6.06070i	0.700031	+	0.508602i
$143$	−15.8317			−1.32391
$144$	−1.01918	−	0.740481i	−0.0849321	−	0.0617067i
$145$	6.61769	+	3.93077i	0.549569	+	0.326432i
$146$	15.4206	−	11.2037i	1.27622	−	0.927226i
$147$	0.809017	−	0.587785i	0.0667266	−	0.0484797i
$148$	0.0110723	+	0.0340771i	0.000910140	+	0.00280112i
$149$	−0.433080			−0.0354793			−0.0177397	−	0.999843i	$-0.505647\pi$
$149$	−0.433080			−0.0354793			−0.0177397	+	0.999843i	$0.505647\pi$
$150$	11.5287	−	2.15362i	0.941314	−	0.175842i
$151$	15.6555			1.27403			0.637014	−	0.770852i	$-0.280169\pi$
$151$	15.6555			1.27403			0.637014	+	0.770852i	$0.280169\pi$
$152$	0.195503	+	0.601696i	0.0158574	+	0.0488040i
$153$	−5.57125	+	4.04775i	−0.450409	+	0.327241i
$154$	4.50320	−	3.27177i	0.362878	−	0.263647i
$155$	−1.42813	+	6.33228i	−0.114710	+	0.508621i
$156$	18.9013	+	13.7326i	1.51331	+	1.09949i
$157$	−8.57741			−0.684551			−0.342276	−	0.939600i	$-0.611198\pi$
$157$	−8.57741			−0.684551			−0.342276	+	0.939600i	$0.611198\pi$
$158$	3.57439	+	2.59694i	0.284363	+	0.206602i
$159$	0.291868	−	0.898278i	0.0231467	−	0.0712381i
$160$	3.61704	+	8.40247i	0.285952	+	0.664273i
$161$	2.19964	+	6.76981i	0.173356	+	0.533536i
$162$	−0.724838	+	2.23082i	−0.0569486	+	0.175270i
$163$	4.78383	−	14.7231i	0.374699	−	1.15320i	−0.568983	−	0.822349i	$-0.692663\pi$
$163$	4.78383	−	14.7231i	0.374699	−	1.15320i	0.943682	−	0.330855i	$-0.107337\pi$
$164$	8.74319	+	26.9088i	0.682729	+	2.10122i
$165$	1.16742	−	5.17627i	0.0908832	−	0.402972i
$166$	9.38843	−	28.8946i	0.728683	−	2.24266i
$167$	4.81457	+	3.49799i	0.372563	+	0.270683i	0.758273	−	0.651937i	$-0.226043\pi$
$167$	4.81457	+	3.49799i	0.372563	+	0.270683i	−0.385710	+	0.922620i	$0.626043\pi$
$168$	−3.52302			−0.271807
$169$	−25.4912	−	18.5204i	−1.96086	−	1.42465i
$170$	−35.9654	+	3.33045i	−2.75842	+	0.255434i
$171$	0.145282	−	0.105554i	0.0111100	−	0.00807190i
$172$	−23.5002	+	17.0739i	−1.79187	+	1.30187i
$173$	1.47651	+	4.54424i	0.112257	+	0.345492i	0.991365	−	0.131131i	$-0.0418608\pi$
$173$	1.47651	+	4.54424i	0.112257	+	0.345492i	−0.879108	+	0.476623i	$0.841861\pi$
$174$	−8.07418			−0.612102
$175$	3.43663	−	3.63174i	0.259785	−	0.274534i
$176$	−2.98951			−0.225343
$177$	3.67251	+	11.3028i	0.276043	+	0.849573i
$178$	−22.0299	+	16.0057i	−1.65121	+	1.19968i
$179$	−14.3839	+	10.4505i	−1.07511	+	0.781110i	−0.976823	−	0.214049i	$-0.931335\pi$
$179$	−14.3839	+	10.4505i	−1.07511	+	0.781110i	−0.0982823	+	0.995159i	$0.531335\pi$
$180$	−5.88371	+	5.16725i	−0.438546	+	0.385144i
$181$	11.3896	+	8.27505i	0.846585	+	0.615080i	0.924202	−	0.381904i	$-0.124731\pi$
$181$	11.3896	+	8.27505i	0.846585	+	0.615080i	−0.0776177	+	0.996983i	$0.524731\pi$
$182$	15.6488			1.15997
$183$	2.47504	+	1.79822i	0.182960	+	0.132928i
$184$	7.74940	−	23.8502i	0.571293	−	1.75826i
$185$	0.0227812	−	0.00210958i	0.00167491	−	0.000155099i
$186$	−2.10421	−	6.47609i	−0.154288	−	0.474850i
$187$	−5.04990	+	15.5420i	−0.369285	+	1.13654i
$188$	1.95448	−	6.01527i	0.142545	−	0.438709i
$189$	0.309017	+	0.951057i	0.0224777	+	0.0691792i
$190$	0.937874	−	0.0868486i	0.0680406	−	0.00630066i
$191$	−5.48865	+	16.8923i	−0.397145	+	1.22229i	0.530134	+	0.847914i	$0.322142\pi$
$191$	−5.48865	+	16.8923i	−0.397145	+	1.22229i	−0.927279	+	0.374372i	$0.877858\pi$
$192$	−9.80180	−	7.12142i	−0.707384	−	0.513944i
$193$	−9.23745			−0.664926			−0.332463	−	0.943116i	$-0.607880\pi$
$193$	−9.23745			−0.664926			−0.332463	+	0.943116i	$0.607880\pi$
$194$	19.9060	+	14.4626i	1.42917	+	1.03835i
$195$	11.2089	−	9.84400i	0.802686	−	0.704944i
$196$	−2.83314	+	2.05840i	−0.202367	+	0.147028i
$197$	5.82383	−	4.23126i	0.414931	−	0.301465i	−0.360664	−	0.932696i	$-0.617450\pi$
$197$	5.82383	−	4.23126i	0.414931	−	0.301465i	0.775595	+	0.631231i	$0.217450\pi$
$198$	1.72007	+	5.29383i	0.122240	+	0.376216i
$199$	15.6819			1.11166			0.555829	−	0.831297i	$-0.312401\pi$
$199$	15.6819			1.11166			0.555829	+	0.831297i	$0.312401\pi$
$200$	−17.3156	+	3.23464i	−1.22440	+	0.228723i
$201$	11.9546			0.843210
$202$	11.8475	+	36.4627i	0.833584	+	2.56551i
$203$	−2.78482	+	2.02329i	−0.195456	+	0.142007i
$204$	19.5103	−	14.1750i	1.36599	−	0.992452i
$205$	17.9890	−	1.66581i	1.25641	−	0.116345i
$206$	−2.92976	−	2.12860i	−0.204126	−	0.148306i
$207$	−7.11820			−0.494749
$208$	−6.79948	−	4.94011i	−0.471459	−	0.342535i
$209$	0.131687	−	0.405291i	0.00910898	−	0.0280345i
$210$	−1.15393	+	5.11647i	−0.0796286	+	0.353070i
$211$	−1.68739	−	5.19326i	−0.116165	−	0.357518i	0.876023	−	0.482269i	$-0.160187\pi$
$211$	−1.68739	−	5.19326i	−0.116165	−	0.357518i	−0.992188	+	0.124750i	$0.960187\pi$
$212$	−1.02211	+	3.14573i	−0.0701988	+	0.216050i
$213$	−1.35840	+	4.18073i	−0.0930760	+	0.286459i
$214$	2.38941	+	7.35384i	0.163337	+	0.502698i
$215$	7.33363	+	17.0362i	0.500149	+	1.16186i
$216$	1.08867	−	3.35059i	0.0740749	−	0.227979i
$217$	−2.34858	−	1.70635i	−0.159432	−	0.115834i
$218$	27.3451			1.85204
$219$	6.57419	+	4.77643i	0.444243	+	0.322761i
$220$	−4.08824	+	18.1271i	−0.275629	+	1.22213i
$221$	−37.1686	+	27.0045i	−2.50023	+	1.81652i
$222$	−0.0194161	+	0.0141066i	−0.00130312	+	0.000946775i
$223$	4.53735	+	13.9645i	0.303843	+	0.935134i	0.980106	+	0.198473i	$0.0635984\pi$
$223$	4.53735	+	13.9645i	0.303843	+	0.935134i	−0.676263	+	0.736660i	$0.736402\pi$
$224$	−4.09107			−0.273346
$225$	2.39202	+	4.39070i	0.159468	+	0.292713i
$226$	−26.0754			−1.73451
$227$	−6.56490	−	20.2047i	−0.435728	−	1.34103i	−0.892339	−	0.451366i	$-0.850937\pi$
$227$	−6.56490	−	20.2047i	−0.435728	−	1.34103i	0.456611	−	0.889666i	$-0.349063\pi$
$228$	−0.508772	+	0.369645i	−0.0336943	+	0.0244803i
$229$	21.9686	−	15.9611i	1.45173	−	1.05474i	0.466303	−	0.884625i	$-0.345586\pi$
$229$	21.9686	−	15.9611i	1.45173	−	1.05474i	0.985424	−	0.170116i	$-0.0544142\pi$
$230$	−32.0993	−	19.0663i	−2.11656	−	1.25719i
$231$	1.91983	+	1.39484i	0.126316	+	0.0917736i
$232$	12.1271			0.796180
$233$	13.1700	+	9.56853i	0.862792	+	0.626855i	0.928643	−	0.370974i	$-0.120976\pi$
$233$	13.1700	+	9.56853i	0.862792	+	0.626855i	−0.0658509	+	0.997829i	$0.520976\pi$
$234$	−4.83575	+	14.8829i	−0.316123	+	0.972926i
$235$	−3.47220	−	2.06241i	−0.226501	−	0.134537i
$236$	−12.8610	−	39.5820i	−0.837179	−	2.57657i
$237$	−0.582060	+	1.79140i	−0.0378089	+	0.116364i
$238$	4.99156	−	15.3624i	0.323555	−	0.995799i
$239$	−3.93178	−	12.1008i	−0.254326	−	0.782735i	−0.993962	−	0.109727i	$-0.965002\pi$
$239$	−3.93178	−	12.1008i	−0.254326	−	0.782735i	0.739636	−	0.673007i	$-0.234998\pi$
$240$	2.11658	−	1.85885i	0.136625	−	0.119988i
$241$	7.02123	−	21.6091i	0.452277	−	1.39197i	−0.422025	−	0.906584i	$-0.638680\pi$
$241$	7.02123	−	21.6091i	0.452277	−	1.39197i	0.874302	−	0.485382i	$-0.161320\pi$
$242$	−10.1879	−	7.40192i	−0.654901	−	0.475814i
$243$	−1.00000			−0.0641500
$244$	−8.66746	−	6.29728i	−0.554878	−	0.403142i
$245$	0.884129	+	2.05385i	0.0564850	+	0.131216i
$246$	−15.3318	+	11.1392i	−0.977520	+	0.710210i
$247$	0.969250	−	0.704201i	0.0616719	−	0.0448073i
$248$	3.16043	+	9.72681i	0.200688	+	0.617653i
$249$	12.9525			0.820828
$250$	−0.973889	+	26.2068i	−0.0615942	+	1.65746i
$251$	13.1000			0.826862			0.413431	−	0.910535i	$-0.364330\pi$
$251$	13.1000			0.826862			0.413431	+	0.910535i	$0.364330\pi$
$252$	−1.08216	−	3.33056i	−0.0681699	−	0.209805i
$253$	−13.6657	+	9.92873i	−0.859157	+	0.624214i
$254$	−11.1405	+	8.09407i	−0.699019	+	0.507867i
$255$	−6.08851	−	14.1438i	−0.381277	−	0.885716i
$256$	18.7986	+	13.6580i	1.17491	+	0.853624i
$257$	−14.4201			−0.899500			−0.449750	−	0.893155i	$-0.648487\pi$
$257$	−14.4201			−0.899500			−0.449750	+	0.893155i	$0.648487\pi$
$258$	−15.7405	−	11.4362i	−0.979962	−	0.711984i
$259$	−0.00316176	+	0.00973088i	−0.000196462	+	0.000604648i
$260$	−39.2531	+	34.4733i	−2.43437	+	2.13794i
$261$	−1.06371	−	3.27375i	−0.0658418	−	0.202640i
$262$	15.3086	−	47.1151i	0.945770	−	2.91078i
$263$	0.686680	−	2.11338i	0.0423425	−	0.130317i	−0.927651	−	0.373449i	$-0.878175\pi$
$263$	0.686680	−	2.11338i	0.0423425	−	0.130317i	0.969993	+	0.243133i	$0.0781750\pi$
$264$	−2.58347	−	7.95110i	−0.159001	−	0.489356i
$265$	1.81581	+	1.07855i	0.111544	+	0.0662550i
$266$	−0.130166	+	0.400608i	−0.00798096	+	0.0245629i
$267$	−9.39192	−	6.82363i	−0.574776	−	0.417599i
$268$	−41.8644			−2.55727
$269$	15.6025	+	11.3359i	0.951304	+	0.691163i	0.951115	−	0.308837i	$-0.0999399\pi$
$269$	15.6025	+	11.3359i	0.951304	+	0.691163i	0.000188956		1.00000i	$0.499940\pi$
$270$	−4.50947	−	2.67853i	−0.274437	−	0.163010i
$271$	−14.2907	+	10.3828i	−0.868096	+	0.630709i	−0.930075	−	0.367369i	$-0.880259\pi$
$271$	−14.2907	+	10.3828i	−0.868096	+	0.630709i	0.0619795	+	0.998077i	$0.480259\pi$
$272$	−7.01856	+	5.09928i	−0.425563	+	0.309189i
$273$	2.06160	+	6.34497i	0.124774	+	0.384015i
$274$	−35.6592			−2.15425
$275$	10.7166	+	5.09292i	0.646234	+	0.307115i
$276$	24.9276			1.50047
$277$	−4.92397	−	15.1544i	−0.295853	−	0.910540i	−0.982934	−	0.183960i	$-0.941108\pi$
$277$	−4.92397	−	15.1544i	−0.295853	−	0.910540i	0.687081	−	0.726581i	$-0.258892\pi$
$278$	−13.0544	+	9.48456i	−0.782950	+	0.568846i
$279$	2.34858	−	1.70635i	0.140606	−	0.102156i
$280$	1.73315	−	7.68470i	0.103575	−	0.459249i
$281$	0.837519	+	0.608493i	0.0499622	+	0.0362997i	0.612486	−	0.790481i	$-0.290170\pi$
$281$	0.837519	+	0.608493i	0.0499622	+	0.0362997i	−0.562524	+	0.826781i	$0.690170\pi$
$282$	4.23640			0.252274
$283$	13.0105	+	9.45265i	0.773392	+	0.561902i	0.902988	−	0.429665i	$-0.141368\pi$
$283$	13.0105	+	9.45265i	0.773392	+	0.561902i	−0.129597	+	0.991567i	$0.541368\pi$
$284$	4.75706	−	14.6407i	0.282279	−	0.868767i
$285$	0.158771	+	0.368829i	0.00940478	+	0.0218475i
$286$	11.4754	+	35.3177i	0.678556	+	2.08838i
$287$	−2.49666	+	7.68393i	−0.147373	+	0.453568i
$288$	1.26421	−	3.89084i	0.0744944	−	0.229270i
$289$	9.40127	+	28.9341i	0.553016	+	1.70201i
$290$	3.97209	−	17.6120i	0.233249	−	1.03422i
$291$	−3.24154	+	9.97643i	−0.190022	+	0.584829i
$292$	−23.0225	−	16.7268i	−1.34729	−	0.978865i
$293$	24.8634			1.45253			0.726267	−	0.687413i	$-0.241254\pi$
$293$	24.8634			1.45253			0.726267	+	0.687413i	$0.241254\pi$
$294$	−1.89765	−	1.37872i	−0.110673	−	0.0804088i
$295$	−26.4614	+	2.45036i	−1.54064	+	0.142666i
$296$	0.0291621	−	0.0211875i	0.00169501	−	0.00123150i
$297$	−1.91983	+	1.39484i	−0.111400	+	0.0809367i
$298$	0.313913	+	0.966125i	0.0181845	+	0.0559661i
$299$	−47.4890			−2.74636
$300$	−8.37674	−	15.3760i	−0.483631	−	0.887736i
$301$	−8.29474			−0.478101
$302$	−11.3477	−	34.9247i	−0.652988	−	2.00969i
$303$	−13.2234	+	9.60734i	−0.759662	+	0.551927i
$304$	0.183024	−	0.132975i	0.0104971	−	0.00762662i
$305$	−5.14001	+	4.51412i	−0.294316	+	0.258477i
$306$	13.0681	+	9.49451i	0.747052	+	0.542765i
$307$	−18.8210			−1.07417			−0.537085	−	0.843528i	$-0.680474\pi$
$307$	−18.8210			−1.07417			−0.537085	+	0.843528i	$0.680474\pi$
$308$	−6.72316	−	4.88466i	−0.383088	−	0.278329i
$309$	0.477088	−	1.46833i	0.0271406	−	0.0835301i
$310$	15.1613	−	1.40396i	0.861107	−	0.0797398i
$311$	4.16086	+	12.8058i	0.235940	+	0.726150i	0.996995	+	0.0774625i	$0.0246818\pi$
$311$	4.16086	+	12.8058i	0.235940	+	0.726150i	−0.761055	+	0.648688i	$0.775318\pi$
$312$	7.26308	−	22.3535i	0.411191	−	1.26552i
$313$	−0.760050	+	2.33919i	−0.0429605	+	0.132219i	−0.970236	−	0.242160i	$-0.922144\pi$
$313$	−0.760050	+	2.33919i	−0.0429605	+	0.132219i	0.927276	+	0.374379i	$0.122144\pi$
$314$	6.21723	+	19.1347i	0.350859	+	1.07983i
$315$	−2.22654	+	0.206181i	−0.125451	+	0.0116170i
$316$	2.03835	−	6.27339i	0.114666	−	0.352906i
$317$	−6.44850	−	4.68511i	−0.362184	−	0.263142i	0.391779	−	0.920060i	$-0.371860\pi$
$317$	−6.44850	−	4.68511i	−0.362184	−	0.263142i	−0.753962	+	0.656918i	$0.771860\pi$
$318$	−2.21545			−0.124237
$319$	−6.60849	−	4.80135i	−0.370005	−	0.268824i
$320$	20.3558	−	17.8771i	1.13792	−	0.999360i
$321$	−2.66690	+	1.93762i	−0.148852	+	0.108147i
$322$	13.5078	−	9.81403i	0.752763	−	0.546914i
$323$	−0.382149	−	1.17613i	−0.0212633	−	0.0654418i
$324$	3.50196			0.194553
$325$	15.9583	+	29.2925i	0.885208	+	1.62486i
$326$	−36.3122			−2.01114
$327$	3.60250	+	11.0873i	0.199219	+	0.613132i
$328$	23.0277	−	16.7306i	1.27149	−	0.923793i
$329$	1.46115	−	1.06159i	0.0805560	−	0.0585274i
$330$	−12.3935	+	1.14766i	−0.682241	+	0.0631765i
$331$	−6.25084	−	4.54150i	−0.343577	−	0.249624i	0.402592	−	0.915379i	$-0.368109\pi$
$331$	−6.25084	−	4.54150i	−0.343577	−	0.249624i	−0.746170	+	0.665756i	$0.768109\pi$
$332$	−45.3589			−2.48939
$333$	−0.00827758	−	0.00601402i	−0.000453609	−	0.000329566i
$334$	4.31361	−	13.2759i	0.236030	−	0.726427i
$335$	−5.88104	+	26.0763i	−0.321316	+	1.42470i
$336$	0.389294	+	1.19812i	0.0212377	+	0.0653630i
$337$	−0.394506	+	1.21416i	−0.0214901	+	0.0661397i	−0.961226	−	0.275760i	$-0.911070\pi$
$337$	−0.394506	+	1.21416i	−0.0214901	+	0.0661397i	0.939736	+	0.341900i	$0.111070\pi$
$338$	−22.8388	+	70.2905i	−1.24227	+	3.82330i
$339$	−3.43522	−	10.5725i	−0.186576	−	0.574221i
$340$	21.3217	+	49.5308i	1.15633	+	2.68619i
$341$	2.12880	−	6.55179i	0.115281	−	0.354799i
$342$	−0.340778	−	0.247590i	−0.0184272	−	0.0133881i
$343$	−1.00000			−0.0539949
$344$	23.6416	+	17.1766i	1.27467	+	0.926100i
$345$	3.50179	−	15.5268i	0.188530	−	0.835934i
$346$	9.06715	−	6.58767i	0.487453	−	0.354155i
$347$	20.3851	−	14.8106i	1.09433	−	0.795075i	0.114203	−	0.993457i	$-0.463569\pi$
$347$	20.3851	−	14.8106i	1.09433	−	0.795075i	0.980125	+	0.198382i	$0.0635687\pi$
$348$	3.72506	+	11.4645i	0.199684	+	0.614564i
$349$	22.2577			1.19143			0.595713	−	0.803197i	$-0.296870\pi$
$349$	22.2577			1.19143			0.595713	+	0.803197i	$0.296870\pi$
$350$	−10.5928	−	5.03408i	−0.566208	−	0.269083i
$351$	−6.67149			−0.356098
$352$	−3.00002	−	9.23313i	−0.159902	−	0.492127i
$353$	15.3604	−	11.1600i	0.817553	−	0.593987i	−0.0984577	−	0.995141i	$-0.531391\pi$
$353$	15.3604	−	11.1600i	0.817553	−	0.593987i	0.916010	+	0.401154i	$0.131391\pi$
$354$	22.5526	−	16.3855i	1.19866	−	0.870877i
$355$	−8.45107	−	5.01976i	−0.448536	−	0.266421i
$356$	32.8901	+	23.8960i	1.74317	+	1.26649i
$357$	6.88645			0.364469
$358$	33.7393	+	24.5130i	1.78318	+	1.29555i
$359$	4.91676	−	15.1322i	0.259497	−	0.798649i	−0.733414	−	0.679783i	$-0.762074\pi$
$359$	4.91676	−	15.1322i	0.259497	−	0.798649i	0.992910	−	0.118866i	$-0.0379259\pi$
$360$	6.77302	+	4.02303i	0.356969	+	0.212032i
$361$	−5.86136	−	18.0394i	−0.308493	−	0.949442i
$362$	10.2045	−	31.4063i	0.536338	−	1.65068i
$363$	1.65901	−	5.10592i	0.0870756	−	0.267991i
$364$	−7.21965	−	22.2198i	−0.378412	−	1.16463i
$365$	−13.6529	+	11.9904i	−0.714626	+	0.627606i
$366$	2.21751	−	6.82478i	0.115911	−	0.356737i
$367$	−0.434194	−	0.315460i	−0.0226647	−	0.0164669i	0.576395	−	0.817171i	$-0.304459\pi$
$367$	−0.434194	−	0.315460i	−0.0226647	−	0.0164669i	−0.599060	+	0.800704i	$0.704459\pi$
$368$	−8.96737			−0.467457
$369$	−6.53634	−	4.74893i	−0.340268	−	0.247219i
$370$	−0.0212188	−	0.0492917i	−0.00110311	−	0.00256255i
$371$	−0.764121	+	0.555166i	−0.0396712	+	0.0288228i
$372$	−8.22463	+	5.97555i	−0.426427	+	0.309818i
$373$	−1.14848	−	3.53465i	−0.0594659	−	0.183017i	0.916911	−	0.399092i	$-0.130675\pi$
$373$	−1.14848	−	3.53465i	−0.0594659	−	0.183017i	−0.976377	+	0.216075i	$0.930675\pi$
$374$	38.3318			1.98209
$375$	−10.7541	+	3.05766i	−0.555339	+	0.157897i
$376$	−6.36288			−0.328141
$377$	−7.09651	−	21.8408i	−0.365489	−	1.12486i
$378$	1.89765	−	1.37872i	0.0976046	−	0.0709139i
$379$	4.17616	−	3.03416i	0.214515	−	0.155854i	−0.475339	−	0.879803i	$-0.657675\pi$
$379$	4.17616	−	3.03416i	0.214515	−	0.155854i	0.689854	+	0.723948i	$0.257675\pi$
$380$	−0.556009	−	1.29162i	−0.0285226	−	0.0662588i
$381$	−4.74949	−	3.45071i	−0.243324	−	0.176785i
$382$	41.6621			2.13162
$383$	4.40980	+	3.20391i	0.225330	+	0.163712i	0.694723	−	0.719278i	$-0.255527\pi$
$383$	4.40980	+	3.20391i	0.225330	+	0.163712i	−0.469392	+	0.882990i	$0.655527\pi$
$384$	−6.25349	+	19.2463i	−0.319122	+	0.982156i
$385$	−3.98699	+	3.50150i	−0.203196	+	0.178453i
$386$	6.69565	+	20.6071i	0.340800	+	1.04887i
$387$	2.56322	−	7.88877i	0.130296	−	0.401009i
$388$	11.3517	−	34.9370i	0.576296	−	1.77366i
$389$	0.436463	+	1.34329i	0.0221295	+	0.0681077i	0.961511	−	0.274765i	$-0.0886001\pi$
$389$	0.436463	+	1.34329i	0.0221295	+	0.0681077i	−0.939382	+	0.342873i	$0.888600\pi$
$390$	−30.0849	−	17.8698i	−1.52341	−	0.904871i
$391$	−15.1477	+	46.6199i	−0.766054	+	2.35767i
$392$	2.85019	+	2.07078i	0.143956	+	0.104590i
$393$	21.1201			1.06537
$394$	−13.6605	−	9.92496i	−0.688208	−	0.500012i
$395$	−3.62119	−	2.15091i	−0.182202	−	0.108224i
$396$	6.72316	−	4.88466i	0.337851	−	0.245463i
$397$	−14.9931	+	10.8931i	−0.752480	+	0.546709i	−0.896595	−	0.442852i	$-0.853967\pi$
$397$	−14.9931	+	10.8931i	−0.752480	+	0.546709i	0.144115	+	0.989561i	$0.453967\pi$
$398$	−11.3668	−	34.9834i	−0.569767	−	1.75356i
$399$	−0.179579			−0.00899019
$400$	3.01342	+	5.53132i	0.150671	+	0.276566i
$401$	14.0048			0.699367			0.349684	−	0.936868i	$-0.386289\pi$
$401$	14.0048			0.699367			0.349684	+	0.936868i	$0.386289\pi$
$402$	−8.66513	−	26.6685i	−0.432177	−	1.33010i
$403$	15.6686	−	11.3839i	0.780506	−	0.567071i
$404$	46.3076	−	33.6445i	2.30389	−	1.67387i
$405$	0.491949	−	2.18128i	0.0244452	−	0.108389i
$406$	6.53215	+	4.74588i	0.324185	+	0.235534i
$407$	−0.0242801			−0.00120352
$408$	−19.6277	−	14.2603i	−0.971714	−	0.705992i
$409$	−3.00653	+	9.25315i	−0.148663	+	0.457539i	−0.997464	−	0.0711745i	$-0.977325\pi$
$409$	−3.00653	+	9.25315i	−0.148663	+	0.457539i	0.848801	+	0.528713i	$0.177325\pi$
$410$	−16.7553	−	38.9229i	−0.827484	−	1.92226i
$411$	−4.69781	−	14.4584i	−0.231726	−	0.713179i
$412$	−1.67074	+	5.14201i	−0.0823115	+	0.253329i
$413$	3.67251	−	11.3028i	0.180713	−	0.556176i
$414$	5.15954	+	15.8794i	0.253578	+	0.780431i
$415$	−6.37195	+	28.2529i	−0.312787	+	1.38688i
$416$	8.43417	−	25.9577i	0.413519	−	1.27268i
$417$	−5.56542	−	4.04351i	−0.272540	−	0.198012i
$418$	−0.999583			−0.0488912
$419$	1.86250	+	1.35318i	0.0909889	+	0.0661073i	0.632350	−	0.774683i	$-0.282091\pi$
$419$	1.86250	+	1.35318i	0.0909889	+	0.0661073i	−0.541361	+	0.840790i	$0.682091\pi$
$420$	7.79725	−	0.722038i	0.380467	−	0.0352318i
$421$	13.4669	−	9.78424i	0.656334	−	0.476855i	−0.209089	−	0.977897i	$-0.567050\pi$
$421$	13.4669	−	9.78424i	0.656334	−	0.476855i	0.865423	+	0.501042i	$0.167050\pi$
$422$	−10.3621	+	7.52854i	−0.504421	+	0.366483i
$423$	0.558111	+	1.71769i	0.0271363	+	0.0835169i
$424$	3.32751			0.161598
$425$	33.8467	−	6.32274i	1.64181	−	0.306698i
$426$	10.3111			0.499573
$427$	−0.945379	−	2.90958i	−0.0457501	−	0.140804i
$428$	9.33938	−	6.78545i	0.451436	−	0.327987i
$429$	−12.8081	+	9.30565i	−0.618382	+	0.449281i
$430$	32.6890	−	28.7085i	1.57640	−	1.38445i
$431$	23.3682	+	16.9780i	1.12561	+	0.817800i	0.985049	−	0.172272i	$-0.0551109\pi$
$431$	23.3682	+	16.9780i	1.12561	+	0.817800i	0.140556	+	0.990073i	$0.455111\pi$
$432$	−1.25978			−0.0606113
$433$	−25.3315	−	18.4044i	−1.21736	−	0.884461i	−0.221478	−	0.975165i	$-0.571088\pi$
$433$	−25.3315	−	18.4044i	−1.21736	−	0.884461i	−0.995878	+	0.0907046i	$0.971088\pi$
$434$	−2.10421	+	6.47609i	−0.101005	+	0.310862i
$435$	7.66427	−	0.709723i	0.367473	−	0.0340286i
$436$	−12.6158	−	38.8274i	−0.604186	−	1.85949i
$437$	0.395010	−	1.21571i	0.0188959	−	0.0581555i
$438$	5.89014	−	18.1280i	0.281442	−	0.866189i
$439$	1.16331	+	3.58029i	0.0555216	+	0.170878i	0.974972	−	0.222328i	$-0.0713657\pi$
$439$	1.16331	+	3.58029i	0.0555216	+	0.170878i	−0.919450	+	0.393207i	$0.871366\pi$
$440$	18.6145	−	1.72373i	0.887412	−	0.0821757i
$441$	0.309017	−	0.951057i	0.0147151	−	0.0452884i
$442$	87.1835	+	63.3425i	4.14690	+	3.01290i
$443$	21.6482			1.02854			0.514268	−	0.857630i	$-0.328064\pi$
$443$	21.6482			1.02854			0.514268	+	0.857630i	$0.328064\pi$
$444$	0.0289877	+	0.0210608i	0.00137570	+	0.000999502i
$445$	19.5046	−	17.1295i	0.924606	−	0.812018i
$446$	27.8635	−	20.2440i	1.31938	−	0.958583i
$447$	−0.350369	+	0.254558i	−0.0165719	+	0.0120402i
$448$	3.74395	+	11.5227i	0.176885	+	0.544397i
$449$	14.1660			0.668533			0.334266	−	0.942479i	$-0.391511\pi$
$449$	14.1660			0.668533			0.334266	+	0.942479i	$0.391511\pi$
$450$	8.06105	−	8.51871i	0.380001	−	0.401576i
$451$	−19.1727			−0.902805
$452$	12.0300	+	37.0245i	0.565843	+	1.74149i
$453$	12.6656	−	9.20208i	0.595081	−	0.432352i
$454$	−40.3146	+	29.2903i	−1.89206	+	1.37466i
$455$	−14.8544	+	1.37554i	−0.696383	+	0.0644861i
$456$	0.511833	+	0.371869i	0.0239688	+	0.0174143i
$457$	14.2988			0.668868			0.334434	−	0.942419i	$-0.391455\pi$
$457$	14.2988			0.668868			0.334434	+	0.942419i	$0.391455\pi$
$458$	−51.5301	−	37.4388i	−2.40784	−	1.74940i
$459$	−2.12803	+	6.54940i	−0.0993279	+	0.305700i
$460$	−12.2631	+	54.3741i	−0.571771	+	2.53521i
$461$	5.62261	+	17.3046i	0.261871	+	0.805956i	0.992398	+	0.123072i	$0.0392746\pi$
$461$	5.62261	+	17.3046i	0.261871	+	0.805956i	−0.730527	+	0.682884i	$0.760725\pi$
$462$	1.72007	−	5.29383i	0.0800249	−	0.246291i
$463$	−1.71484	+	5.27774i	−0.0796955	+	0.245277i	−0.982964	−	0.183798i	$-0.941161\pi$
$463$	−1.71484	+	5.27774i	−0.0796955	+	0.245277i	0.903268	+	0.429076i	$0.141161\pi$
$464$	−1.34004	−	4.12421i	−0.0622097	−	0.191462i
$465$	2.56663	+	5.96235i	0.119025	+	0.276498i
$466$	11.7996	−	36.3154i	0.546606	−	1.68228i
$467$	9.52080	+	6.91726i	0.440570	+	0.320093i	0.785861	−	0.618403i	$-0.212220\pi$
$467$	9.52080	+	6.91726i	0.440570	+	0.320093i	−0.345291	+	0.938496i	$0.612220\pi$
$468$	23.3633			1.07997
$469$	−9.67145	−	7.02672i	−0.446586	−	0.324464i
$470$	−2.08409	+	9.24078i	−0.0961321	+	0.426245i
$471$	−6.93927	+	5.04167i	−0.319745	+	0.232308i
$472$	−33.8731	+	24.6102i	−1.55913	+	1.13278i
$473$	−6.08262	−	18.7204i	−0.279679	−	0.860764i
$474$	4.41818			0.202934
$475$	−0.882626	+	0.164879i	−0.0404977	+	0.00756517i
$476$	−24.1160			−1.10536
$477$	−0.291868	−	0.898278i	−0.0133637	−	0.0411293i
$478$	−24.1448	+	17.5422i	−1.10436	+	0.802362i
$479$	−26.3064	+	19.1128i	−1.20197	+	0.873284i	−0.994477	−	0.104952i	$-0.966531\pi$
$479$	−26.3064	+	19.1128i	−1.20197	+	0.873284i	−0.207495	+	0.978236i	$0.566531\pi$
$480$	7.86509	+	4.67170i	0.358991	+	0.213233i
$481$	−0.0552238	−	0.0401225i	−0.00251799	−	0.00182943i
$482$	−53.2954			−2.42754
$483$	5.75874	+	4.18397i	0.262032	+	0.190377i
$484$	−5.80979	+	17.8807i	−0.264081	+	0.812759i
$485$	−20.1667	−	11.9786i	−0.915724	−	0.543920i
$486$	0.724838	+	2.23082i	0.0328793	+	0.101192i
$487$	1.84414	−	5.67568i	0.0835659	−	0.257189i	−0.900540	−	0.434774i	$-0.856828\pi$
$487$	1.84414	−	5.67568i	0.0835659	−	0.257189i	0.984106	+	0.177584i	$0.0568283\pi$
$488$	−3.33059	+	10.2505i	−0.150769	+	0.464019i
$489$	−4.78383	−	14.7231i	−0.216332	−	0.665803i
$490$	3.94093	−	3.46105i	0.178033	−	0.156354i
$491$	−0.784510	+	2.41447i	−0.0354045	+	0.108964i	−0.967197	−	0.254028i	$-0.918245\pi$
$491$	−0.784510	+	2.41447i	−0.0354045	+	0.108964i	0.931792	+	0.362991i	$0.118245\pi$
$492$	22.8900	+	16.6305i	1.03196	+	0.749763i
$493$	−23.7047			−1.06761
$494$	−2.27350	−	1.65179i	−0.102289	−	0.0743176i
$495$	−2.09807	−	4.87388i	−0.0943014	−	0.219065i
$496$	2.95870	−	2.14962i	0.132850	−	0.0965209i
$497$	3.55634	−	2.58383i	0.159524	−	0.115901i
$498$	−9.38843	−	28.8946i	−0.420706	−	1.29480i
$499$	31.0837			1.39150			0.695748	−	0.718286i	$-0.255073\pi$
$499$	31.0837			1.39150			0.695748	+	0.718286i	$0.255073\pi$
$500$	37.6604	−	10.7078i	1.68422	−	0.478867i
$501$	5.95114			0.265877
$502$	−9.49535	−	29.2237i	−0.423798	−	1.30432i
$503$	−29.3444	+	21.3200i	−1.30840	+	0.950611i	−1.00000		0.000644197i	$-0.999795\pi$
$503$	−29.3444	+	21.3200i	−1.30840	+	0.950611i	−0.308404	+	0.951255i	$0.599795\pi$
$504$	−2.85019	+	2.07078i	−0.126957	+	0.0922399i
$505$	−14.4511	−	33.5702i	−0.643064	−	1.49385i
$506$	32.0547	+	23.2891i	1.42500	+	1.03533i
$507$	−31.5088			−1.39935
$508$	16.6325	+	12.0842i	0.737949	+	0.536151i
$509$	−9.23095	+	28.4099i	−0.409155	+	1.25925i	0.508221	+	0.861227i	$0.330303\pi$
$509$	−9.23095	+	28.4099i	−0.409155	+	1.25925i	−0.917376	+	0.398022i	$0.869697\pi$
$510$	−27.1390	+	23.8343i	−1.20174	+	1.05540i
$511$	−2.51112	−	7.72843i	−0.111085	−	0.341885i
$512$	4.33561	−	13.3436i	0.191609	−	0.589711i
$513$	0.0554929	−	0.170790i	0.00245007	−	0.00754055i
$514$	10.4522	+	32.1686i	0.461028	+	1.41890i
$515$	2.96813	+	1.76300i	0.130791	+	0.0776872i
$516$	−8.97627	+	27.6261i	−0.395158	+	1.21617i
$517$	3.46738	+	2.51920i	0.152495	+	0.110794i
$518$	0.0239996			0.00105448
$519$	3.86556	+	2.80849i	0.169679	+	0.123279i
$520$	45.1861	+	26.8396i	1.98154	+	1.17699i
$521$	18.2598	−	13.2666i	0.799978	−	0.581218i	−0.110930	−	0.993828i	$-0.535383\pi$
$521$	18.2598	−	13.2666i	0.799978	−	0.581218i	0.910908	+	0.412610i	$0.135383\pi$
$522$	−6.53215	+	4.74588i	−0.285904	+	0.207722i
$523$	1.64662	+	5.06776i	0.0720015	+	0.221598i	0.980581	−	0.196114i	$-0.0628322\pi$
$523$	1.64662	+	5.06776i	0.0720015	+	0.221598i	−0.908580	+	0.417712i	$0.862832\pi$
$524$	−73.9615			−3.23102
$525$	0.645607	−	4.95814i	0.0281766	−	0.216391i
$526$	−5.21231			−0.227268
$527$	−6.17769	−	19.0130i	−0.269104	−	0.828218i
$528$	−2.41857	+	1.75719i	−0.105255	+	0.0764719i
$529$	−22.3845	+	16.2633i	−0.973238	+	0.707099i
$530$	1.08989	−	4.83253i	0.0473419	−	0.209912i
$531$	9.61477	+	6.98554i	0.417245	+	0.303147i
$532$	0.628877			0.0272653
$533$	−43.6071	−	31.6824i	−1.88884	−	1.37232i
$534$	−8.41468	+	25.8977i	−0.364139	+	1.12070i
$535$	−2.91451	−	6.77047i	−0.126005	−	0.292713i
$536$	13.0146	+	40.0549i	0.562147	+	1.73011i
$537$	−5.49417	+	16.9093i	−0.237091	+	0.729691i
$538$	13.9791	−	43.0232i	0.602681	−	1.85486i
$539$	−0.733310	−	2.25690i	−0.0315859	−	0.0972114i
$540$	−1.72278	+	7.63875i	−0.0741368	+	0.328719i
$541$	7.26584	−	22.3620i	0.312383	−	0.961416i	−0.664435	−	0.747346i	$-0.731328\pi$
$541$	7.26584	−	22.3620i	0.312383	−	0.961416i	0.976818	−	0.214070i	$-0.0686721\pi$
$542$	33.5205	+	24.3541i	1.43983	+	1.04610i
$543$	14.0784			0.604160
$544$	−22.7924	−	16.5597i	−0.977216	−	0.709989i
$545$	−25.9569	+	2.40365i	−1.11187	+	0.102961i
$546$	12.6602	−	9.19814i	0.541805	−	0.393644i
$547$	4.10830	−	2.98486i	0.175658	−	0.127623i	−0.496482	−	0.868047i	$-0.665375\pi$
$547$	4.10830	−	2.98486i	0.175658	−	0.127623i	0.672140	+	0.740424i	$0.265375\pi$
$548$	16.4515	+	50.6326i	0.702774	+	2.16292i
$549$	3.05931			0.130568
$550$	3.59362	−	27.5983i	0.153232	−	1.17680i
$551$	0.618152			0.0263341
$552$	−7.74940	−	23.8502i	−0.329836	−	1.01513i
$553$	1.52385	−	1.10714i	0.0648008	−	0.0470805i
$554$	−30.2377	+	21.9690i	−1.28468	+	0.933373i
$555$	0.0171904	−	0.0150971i	0.000729692	−	0.000640838i
$556$	19.4898	+	14.1602i	0.826554	+	0.600526i
$557$	−29.1969			−1.23711			−0.618556	−	0.785741i	$-0.712282\pi$
$557$	−29.1969			−1.23711			−0.618556	+	0.785741i	$0.712282\pi$
$558$	−5.50889	−	4.00245i	−0.233210	−	0.169437i
$559$	17.1005	−	52.6299i	0.723273	−	2.22601i
$560$	−2.80496	+	0.259743i	−0.118531	+	0.0109762i
$561$	5.04990	+	15.5420i	0.213207	+	0.656184i
$562$	0.750375	−	2.30942i	0.0316526	−	0.0974168i
$563$	0.534740	−	1.64576i	0.0225366	−	0.0693606i	−0.939156	−	0.343492i	$-0.888390\pi$
$563$	0.534740	−	1.64576i	0.0225366	−	0.0693606i	0.961692	+	0.274131i	$0.0883903\pi$
$564$	−1.95448	−	6.01527i	−0.0822985	−	0.253289i
$565$	24.7516	−	2.29204i	1.04131	−	0.0964267i
$566$	11.6567	−	35.8757i	0.489968	−	1.50797i
$567$	0.809017	+	0.587785i	0.0339755	+	0.0246847i
$568$	−15.4868			−0.649811
$569$	−22.9631	−	16.6837i	−0.962665	−	0.699417i	−0.00889704	−	0.999960i	$-0.502832\pi$
$569$	−22.9631	−	16.6837i	−0.962665	−	0.699417i	−0.953768	+	0.300543i	$0.902832\pi$
$570$	0.707708	−	0.621531i	0.0296426	−	0.0260331i
$571$	−26.0053	+	18.8939i	−1.08829	+	0.790687i	−0.979109	−	0.203335i	$-0.934822\pi$
$571$	−26.0053	+	18.8939i	−1.08829	+	0.790687i	−0.109178	+	0.994022i	$0.534822\pi$
$572$	44.8535	−	32.5880i	1.87542	−	1.36257i
$573$	5.48865	+	16.8923i	0.229292	+	0.705687i
$574$	18.9512			0.791006
$575$	32.1456	+	15.2768i	1.34056	+	0.637086i
$576$	−12.1157			−0.504820
$577$	−1.44927	−	4.46041i	−0.0603341	−	0.185689i	0.916347	−	0.400386i	$-0.131124\pi$
$577$	−1.44927	−	4.46041i	−0.0603341	−	0.185689i	−0.976681	+	0.214696i	$0.931124\pi$
$578$	57.7325	−	41.9451i	2.40136	−	1.74469i
$579$	−7.47325	+	5.42964i	−0.310578	+	0.225648i
$580$	−26.8399	+	2.48542i	−1.11447	+	0.103201i
$581$	−10.4788	−	7.61326i	−0.434732	−	0.315851i
$582$	24.6052			1.01992
$583$	−1.81329	−	1.31743i	−0.0750988	−	0.0545625i
$584$	−8.84673	+	27.2274i	−0.366080	+	1.12668i
$585$	3.28204	−	14.5524i	0.135695	−	0.601668i
$586$	−18.0219	−	55.4658i	−0.744479	−	2.29127i
$587$	−12.0909	+	37.2121i	−0.499046	+	1.53591i	0.311508	+	0.950244i	$0.399166\pi$
$587$	−12.0909	+	37.2121i	−0.499046	+	1.53591i	−0.810554	+	0.585663i	$0.800834\pi$
$588$	−1.08216	+	3.33056i	−0.0446277	+	0.137350i
$589$	0.161096	+	0.495804i	0.00663786	+	0.0204292i
$590$	24.6465	+	57.2544i	1.01468	+	2.35713i
$591$	2.22451	−	6.84633i	0.0915040	−	0.281620i
$592$	−0.0104279	−	0.00757635i	−0.000428586	−	0.000311386i
$593$	−46.7848			−1.92122			−0.960612	−	0.277895i	$-0.910363\pi$
$593$	−46.7848			−1.92122			−0.960612	+	0.277895i	$0.910363\pi$
$594$	4.50320	+	3.27177i	0.184769	+	0.134242i
$595$	−3.38778	+	15.0213i	−0.138886	+	0.615812i
$596$	1.22698	−	0.891452i	0.0502590	−	0.0365153i
$597$	12.6869	−	9.21757i	0.519240	−	0.377250i
$598$	34.4218	+	105.939i	1.40761	+	4.33219i
$599$	−10.3975			−0.424829			−0.212415	−	0.977180i	$-0.568133\pi$
$599$	−10.3975			−0.424829			−0.212415	+	0.977180i	$0.568133\pi$
$600$	−12.1073	+	12.7947i	−0.494280	+	0.522342i
$601$	−21.9492			−0.895327			−0.447663	−	0.894202i	$-0.647744\pi$
$601$	−21.9492			−0.895327			−0.447663	+	0.894202i	$0.647744\pi$
$602$	6.01234	+	18.5041i	0.245045	+	0.754171i
$603$	9.67145	−	7.02672i	0.393852	−	0.286150i
$604$	−44.3543	+	32.2253i	−1.80475	+	1.31123i
$605$	10.3213	+	6.13063i	0.419620	+	0.249245i
$606$	31.0171	+	22.5352i	1.25998	+	0.915430i
$607$	11.9790			0.486212			0.243106	−	0.970000i	$-0.421834\pi$
$607$	11.9790			0.486212			0.243106	+	0.970000i	$0.421834\pi$
$608$	0.594361	+	0.431828i	0.0241045	+	0.0175130i
$609$	−1.06371	+	3.27375i	−0.0431036	+	0.132659i
$610$	13.7959	+	8.19445i	0.558578	+	0.331783i
$611$	3.72343	+	11.4596i	0.150634	+	0.463604i
$612$	7.45226	−	22.9357i	0.301240	−	0.927121i
$613$	12.7440	−	39.2219i	0.514725	−	1.58416i	−0.269058	−	0.963124i	$-0.586712\pi$
$613$	12.7440	−	39.2219i	0.514725	−	1.58416i	0.783783	−	0.621035i	$-0.213288\pi$
$614$	13.6422	+	41.9862i	0.550552	+	1.69443i
$615$	13.5743	−	11.9214i	0.547369	−	0.480716i
$616$	−2.58347	+	7.95110i	−0.104091	+	0.320359i
$617$	8.44895	+	6.13852i	0.340142	+	0.247127i	0.744722	−	0.667375i	$-0.232582\pi$
$617$	8.44895	+	6.13852i	0.340142	+	0.247127i	−0.404580	+	0.914503i	$0.632582\pi$
$618$	−3.62138			−0.145673
$619$	−22.5958	−	16.4168i	−0.908203	−	0.659848i	0.0323567	−	0.999476i	$-0.489699\pi$
$619$	−22.5958	−	16.4168i	−0.908203	−	0.659848i	−0.940560	+	0.339628i	$0.889699\pi$
$620$	−8.98824	−	20.8799i	−0.360976	−	0.838557i
$621$	−5.75874	+	4.18397i	−0.231090	+	0.167897i
$622$	25.5515	−	18.5643i	1.02452	−	0.744359i
$623$	3.58739	+	11.0409i	0.143726	+	0.442343i
$624$	−8.40462			−0.336454
$625$	−1.37914	−	24.9619i	−0.0551656	−	0.998477i
$626$	5.76923			0.230585
$627$	−0.131687	−	0.405291i	−0.00525907	−	0.0161858i
$628$	24.3010	−	17.6557i	0.969716	−	0.704540i
$629$	−0.0570031	+	0.0414152i	−0.00227286	+	0.00165133i
$630$	2.07384	+	4.81757i	0.0826236	+	0.191937i
$631$	−6.76437	−	4.91460i	−0.269285	−	0.195647i	0.444945	−	0.895558i	$-0.353223\pi$
$631$	−6.76437	−	4.91460i	−0.269285	−	0.195647i	−0.714231	+	0.699911i	$0.753223\pi$
$632$	−6.63592			−0.263963
$633$	−4.41765	−	3.20961i	−0.175586	−	0.127570i
$634$	−5.77753	+	17.7814i	−0.229455	+	0.706189i
$635$	9.86348	−	8.66241i	0.391420	−	0.343757i
$636$	1.02211	+	3.14573i	0.0405293	+	0.124736i
$637$	2.06160	−	6.34497i	0.0816837	−	0.251397i
$638$	−5.92087	+	18.2226i	−0.234410	+	0.721439i
$639$	1.35840	+	4.18073i	0.0537375	+	0.165387i
$640$	−38.9051	−	23.1088i	−1.53786	−	0.913455i
$641$	1.49611	−	4.60454i	0.0590926	−	0.181868i	−0.917153	−	0.398535i	$-0.869519\pi$
$641$	1.49611	−	4.60454i	0.0590926	−	0.181868i	0.976246	+	0.216667i	$0.0695186\pi$
$642$	6.25555	+	4.54493i	0.246887	+	0.179374i
$643$	−7.83613			−0.309027			−0.154513	−	0.987991i	$-0.549381\pi$
$643$	−7.83613			−0.309027			−0.154513	+	0.987991i	$0.549381\pi$
$644$	−20.1669	−	14.6521i	−0.794686	−	0.577373i
$645$	15.9466	+	9.47197i	0.627899	+	0.372958i
$646$	−2.34675	+	1.70501i	−0.0923316	+	0.0670828i
$647$	−14.2329	+	10.3408i	−0.559553	+	0.406539i	−0.831295	−	0.555831i	$-0.812400\pi$
$647$	−14.2329	+	10.3408i	−0.559553	+	0.406539i	0.271742	+	0.962370i	$0.412400\pi$
$648$	−1.08867	−	3.35059i	−0.0427672	−	0.131624i
$649$	28.2024			1.10704
$650$	53.7792	−	56.8325i	2.10939	−	2.22915i
$651$	−2.90301			−0.113778
$652$	16.7528	+	51.5597i	0.656089	+	2.01923i
$653$	−22.5923	+	16.4143i	−0.884104	+	0.642339i	−0.934334	−	0.356398i	$-0.884005\pi$
$653$	−22.5923	+	16.4143i	−0.884104	+	0.642339i	0.0502298	+	0.998738i	$0.484005\pi$
$654$	22.1227	−	16.0731i	0.865065	−	0.628506i
$655$	−10.3900	+	46.0688i	−0.405971	+	1.80006i
$656$	−8.23436	−	5.98261i	−0.321498	−	0.233582i
$657$	8.12615			0.317031
$658$	−3.42732	−	2.49009i	−0.133611	−	0.0970739i
$659$	10.2523	−	31.5534i	0.399374	−	1.22915i	−0.526129	−	0.850405i	$-0.676357\pi$
$659$	10.2523	−	31.5534i	0.399374	−	1.22915i	0.925502	−	0.378742i	$-0.123643\pi$
$660$	7.34736	+	17.0681i	0.285996	+	0.664375i
$661$	2.60730	+	8.02445i	0.101412	+	0.312115i	0.988872	−	0.148771i	$-0.0475317\pi$
$661$	2.60730	+	8.02445i	0.101412	+	0.312115i	−0.887459	+	0.460886i	$0.847532\pi$
$662$	−5.60044	+	17.2364i	−0.217667	+	0.669910i
$663$	−14.1971	+	43.6943i	−0.551371	+	1.69694i
$664$	14.1010	+	43.3984i	0.547225	+	1.68419i
$665$	0.0883437	−	0.391712i	0.00342582	−	0.0151899i
$666$	−0.00741629	+	0.0228250i	−0.000287375	+	0.000884451i
$667$	−19.8229	−	14.4022i	−0.767546	−	0.557655i
$668$	−20.8406			−0.806348
$669$	11.8789	+	8.63055i	0.459266	+	0.333676i
$670$	62.4343	−	5.78152i	2.41205	−	0.223359i
$671$	5.87336	−	4.26725i	0.226739	−	0.164735i
$672$	−3.30975	+	2.40467i	−0.127676	+	0.0927623i
$673$	2.56708	+	7.90066i	0.0989536	+	0.304548i	0.988264	−	0.152756i	$-0.0488150\pi$
$673$	2.56708	+	7.90066i	0.0989536	+	0.304548i	−0.889310	+	0.457304i	$0.848815\pi$
$674$	2.99454			0.115345
$675$	4.51597	+	2.14616i	0.173820	+	0.0826057i
$676$	110.342			4.24394
$677$	7.19325	+	22.1385i	0.276459	+	0.850854i	0.988830	+	0.149050i	$0.0476216\pi$
$677$	7.19325	+	22.1385i	0.276459	+	0.850854i	−0.712371	+	0.701804i	$0.752378\pi$
$678$	−21.0954	+	15.3267i	−0.810165	+	0.588619i
$679$	8.48646	−	6.16577i	0.325680	−	0.236621i
$680$	40.7616	−	35.7981i	1.56314	−	1.37279i
$681$	−17.1871	−	12.4872i	−0.658613	−	0.478510i
$682$	−16.1589			−0.618757
$683$	−7.43798	−	5.40401i	−0.284606	−	0.206779i	0.436318	−	0.899793i	$-0.356282\pi$
$683$	−7.43798	−	5.40401i	−0.284606	−	0.206779i	−0.720924	+	0.693014i	$0.756282\pi$
$684$	−0.194334	+	0.598098i	−0.00743054	+	0.0228688i
$685$	33.8489	−	3.13446i	1.29330	−	0.119761i
$686$	0.724838	+	2.23082i	0.0276744	+	0.0851732i
$687$	8.39126	−	25.8256i	0.320147	−	0.985310i
$688$	3.22909	−	9.93813i	0.123108	−	0.378888i
$689$	−1.94720	−	5.99285i	−0.0741823	−	0.228310i
$690$	−37.1757	+	3.44253i	−1.41526	+	0.131055i
$691$	−8.26429	+	25.4349i	−0.314388	+	0.967588i	0.661617	+	0.749842i	$0.269871\pi$
$691$	−8.26429	+	25.4349i	−0.314388	+	0.967588i	−0.976005	+	0.217746i	$0.930129\pi$
$692$	−13.5370	−	9.83522i	−0.514600	−	0.373879i
$693$	2.37304			0.0901444
$694$	−47.8157	−	34.7401i	−1.81506	−	1.31872i
$695$	11.5579	−	10.1505i	0.438418	−	0.385032i
$696$	9.81099	−	7.12810i	0.371885	−	0.270190i
$697$	−45.0122	+	32.7033i	−1.70496	+	1.23872i
$698$	−16.1332	−	49.6529i	−0.610651	−	1.87939i
$699$	16.2790			0.615727
$700$	−2.26089	+	17.3632i	−0.0854534	+	0.656267i
$701$	44.2821			1.67251			0.836256	−	0.548339i	$-0.184740\pi$
$701$	44.2821			1.67251			0.836256	+	0.548339i	$0.184740\pi$
$702$	4.83575	+	14.8829i	0.182514	+	0.561719i
$703$	0.00148648	−	0.00107999i	5.60636e−5	−	4.07326e-5i
$704$	−23.2601	+	16.8994i	−0.876646	+	0.636921i
$705$	−4.02133	+	0.372381i	−0.151452	+	0.0140247i
$706$	−36.0298	−	26.1772i	−1.35600	−	0.985191i
$707$	16.3450			0.614716
$708$	−33.6705	−	24.4630i	−1.26541	−	0.919377i
$709$	−8.37359	+	25.7713i	−0.314477	+	0.967861i	0.661492	+	0.749952i	$0.269923\pi$
$709$	−8.37359	+	25.7713i	−0.314477	+	0.967861i	−0.975969	+	0.217909i	$0.930077\pi$
$710$	−5.07252	+	22.4913i	−0.190368	+	0.844085i
$711$	0.582060	+	1.79140i	0.0218290	+	0.0671826i
$712$	12.6385	−	38.8972i	0.473647	−	1.45773i
$713$	6.38559	−	19.6528i	0.239142	−	0.736004i
$714$	−4.99156	−	15.3624i	−0.186804	−	0.574925i
$715$	−13.9973	−	32.5160i	−0.523469	−	1.21603i
$716$	19.2403	−	59.2157i	0.719045	−	2.21299i
$717$	−10.2935	−	7.47870i	−0.384419	−	0.279297i
$718$	−37.3212			−1.39281
$719$	−0.572103	−	0.415657i	−0.0213359	−	0.0155014i	0.577066	−	0.816697i	$-0.304197\pi$
$719$	−0.572103	−	0.415657i	−0.0213359	−	0.0155014i	−0.598402	+	0.801196i	$0.704197\pi$
$720$	0.619749	−	2.74794i	0.0230967	−	0.102410i
$721$	−1.24903	+	0.907475i	−0.0465164	+	0.0337961i
$722$	−35.9942	+	26.1513i	−1.33956	+	0.973250i
$723$	−7.02123	−	21.6091i	−0.261122	−	0.803652i
$724$	−49.3018			−1.83229
$725$	−2.22233	+	17.0671i	−0.0825351	+	0.633855i
$726$	−12.5929			−0.467367
$727$	−1.53512	−	4.72462i	−0.0569345	−	0.175226i	0.918545	−	0.395316i	$-0.129365\pi$
$727$	−1.53512	−	4.72462i	−0.0569345	−	0.175226i	−0.975480	+	0.220090i	$0.929365\pi$
$728$	−19.0150	+	13.8152i	−0.704743	+	0.512025i
$729$	−0.809017	+	0.587785i	−0.0299636	+	0.0217698i
$730$	36.6446	+	21.7661i	1.35628	+	0.805600i
$731$	−46.2121	−	33.5751i	−1.70922	−	1.24182i
$732$	−10.7136			−0.395985
$733$	−26.9317	−	19.5670i	−0.994745	−	0.722724i	−0.0337897	−	0.999429i	$-0.510758\pi$
$733$	−26.9317	−	19.5670i	−0.994745	−	0.722724i	−0.960955	+	0.276705i	$0.910758\pi$
$734$	−0.389016	+	1.19727i	−0.0143588	+	0.0441919i
$735$	1.92250	+	1.14192i	0.0709125	+	0.0421205i
$736$	−8.99891	−	27.6958i	−0.331704	−	1.02088i
$737$	8.76640	−	26.9802i	0.322915	−	0.993829i
$738$	−5.85623	+	18.0236i	−0.215571	+	0.663459i
$739$	−14.2743	−	43.9318i	−0.525089	−	1.61606i	−0.764140	−	0.645051i	$-0.776836\pi$
$739$	−14.2743	−	43.9318i	−0.525089	−	1.61606i	0.239051	−	0.971007i	$-0.423164\pi$
$740$	−0.0602000	+	0.0528695i	−0.00221300	+	0.00194352i
$741$	0.370221	−	1.13942i	0.0136004	−	0.0418577i
$742$	1.79234	+	1.30221i	0.0657989	+	0.0478057i
$743$	−41.2531			−1.51343			−0.756715	−	0.653744i	$-0.773197\pi$
$743$	−41.2531			−1.51343			−0.756715	+	0.653744i	$0.773197\pi$
$744$	8.27412	+	6.01150i	0.303344	+	0.220392i
$745$	−0.382899	−	0.889484i	−0.0140283	−	0.0325882i
$746$	−7.05272	+	5.12410i	−0.258218	+	0.187607i
$747$	10.4788	−	7.61326i	0.383398	−	0.278555i
$748$	−17.6845	−	54.4274i	−0.646610	−	1.99006i
$749$	3.29647			0.120451
$750$	14.6161	+	21.7742i	0.533704	+	0.795081i
$751$	−28.3581			−1.03480			−0.517402	−	0.855743i	$-0.673101\pi$
$751$	−28.3581			−1.03480			−0.517402	+	0.855743i	$0.673101\pi$
$752$	0.703098	+	2.16391i	0.0256393	+	0.0789098i
$753$	10.5981	−	7.69996i	0.386216	−	0.280602i
$754$	−43.5792	+	31.6621i	−1.58706	+	1.15307i
$755$	13.8415	+	32.1542i	0.503744	+	1.17021i
$756$	−2.83314	−	2.05840i	−0.103040	−	0.0748632i
$757$	−3.66239			−0.133112			−0.0665560	−	0.997783i	$-0.521201\pi$
$757$	−3.66239			−0.133112			−0.0665560	+	0.997783i	$0.521201\pi$
$758$	−9.79571	−	7.11700i	−0.355796	−	0.258501i
$759$	−5.21984	+	16.0650i	−0.189468	+	0.583124i
$760$	−1.06295	+	0.933511i	−0.0385571	+	0.0338620i
$761$	2.68973	+	8.27813i	0.0975025	+	0.300082i	0.987898	−	0.155106i	$-0.0495720\pi$
$761$	2.68973	+	8.27813i	0.0975025	+	0.300082i	−0.890395	+	0.455188i	$0.849572\pi$
$762$	−4.25530	+	13.0965i	−0.154153	+	0.474435i
$763$	3.60250	−	11.0873i	0.130419	−	0.401389i
$764$	−19.2210	−	59.1562i	−0.695392	−	2.14020i
$765$	−13.2392	−	7.86380i	−0.478664	−	0.284316i
$766$	3.95096	−	12.1598i	0.142754	−	0.439351i
$767$	64.1448	+	46.6040i	2.31614	+	1.68277i
$768$	23.2363			0.838469
$769$	42.5766	+	30.9337i	1.53535	+	1.11550i	0.953168	+	0.302442i	$0.0978018\pi$
$769$	42.5766	+	30.9337i	1.53535	+	1.11550i	0.582184	+	0.813057i	$0.302198\pi$
$770$	10.7011	+	6.35625i	0.385642	+	0.229063i
$771$	−11.6661	+	8.47591i	−0.420144	+	0.305252i
$772$	26.1710	−	19.0143i	0.941915	−	0.684341i
$773$	−2.85746	−	8.79436i	−0.102776	−	0.316311i	0.886426	−	0.462870i	$-0.153180\pi$
$773$	−2.85746	−	8.79436i	−0.102776	−	0.316311i	−0.989202	+	0.146559i	$0.953180\pi$
$774$	−19.4564			−0.699344
$775$	−14.2682	+	2.66538i	−0.512530	+	0.0957431i
$776$	−36.9560			−1.32664
$777$	0.00316176	+	0.00973088i	0.000113427	+	0.000349093i
$778$	2.68028	−	1.94734i	0.0960928	−	0.0698155i
$779$	1.17379	−	0.852807i	0.0420553	−	0.0305550i
$780$	−11.4935	+	50.9618i	−0.411535	+	1.82473i
$781$	8.43933	+	6.13153i	0.301983	+	0.219404i
$782$	114.980			4.11169
$783$	−2.78482	−	2.02329i	−0.0995214	−	0.0723065i
$784$	0.389294	−	1.19812i	0.0139034	−	0.0427901i
$785$	−7.58354	−	17.6167i	−0.270668	−	0.628768i
$786$	−15.3086	−	47.1151i	−0.546041	−	1.68054i
$787$	−10.4282	+	32.0948i	−0.371726	+	1.14406i	0.573935	+	0.818901i	$0.305416\pi$
$787$	−10.4282	+	32.0948i	−0.371726	+	1.14406i	−0.945661	+	0.325154i	$0.894584\pi$
$788$	−7.79012	+	23.9755i	−0.277512	+	0.854093i
$789$	−0.686680	−	2.11338i	−0.0244464	−	0.0752384i
$790$	−2.17352	+	9.63730i	−0.0773305	+	0.342880i
$791$	−3.43522	+	10.5725i	−0.122142	+	0.375916i
$792$	−6.76361	−	4.91405i	−0.240334	−	0.174613i
$793$	20.4102			0.724787
$794$	35.1681	+	25.5511i	1.24807	+	0.906775i
$795$	2.10298	−	0.194739i	0.0745850	−	0.00690669i
$796$	−44.4289	+	32.2795i	−1.57474	+	1.14412i
$797$	27.3052	−	19.8384i	0.967199	−	0.702711i	0.0123873	−	0.999923i	$-0.496057\pi$
$797$	27.3052	−	19.8384i	0.967199	−	0.702711i	0.954811	+	0.297212i	$0.0960569\pi$
$798$	0.130166	+	0.400608i	0.00460781	+	0.0141814i
$799$	12.4375			0.440008
$800$	−14.0595	+	14.8577i	−0.497079	+	0.525300i
$801$	−11.6090			−0.410186
$802$	−10.1512	−	31.2422i	−0.358452	−	1.10320i
$803$	15.6008	−	11.3347i	0.550541	−	0.399992i
$804$	−33.8690	+	24.6073i	−1.19447	+	0.867831i
$805$	−11.9594	+	10.5031i	−0.421514	+	0.370187i
$806$	−36.7525	−	26.7023i	−1.29455	−	0.940548i
$807$	19.2858			0.678892
$808$	−46.5862	−	33.8469i	−1.63890	−	1.19073i
$809$	−2.92017	+	8.98737i	−0.102668	+	0.315979i	−0.989176	−	0.146734i	$-0.953124\pi$
$809$	−2.92017	+	8.98737i	−0.102668	+	0.315979i	0.886508	+	0.462713i	$0.153124\pi$
$810$	−5.22263	+	0.483624i	−0.183505	+	0.0169928i
$811$	−12.3880	−	38.1265i	−0.435003	−	1.33880i	−0.893084	−	0.449890i	$-0.851463\pi$
$811$	−12.3880	−	38.1265i	−0.435003	−	1.33880i	0.458081	−	0.888910i	$-0.348537\pi$
$812$	3.72506	−	11.4645i	0.130724	−	0.402327i
$813$	−5.45855	+	16.7997i	−0.191440	+	0.589190i
$814$	0.0175992	+	0.0541646i	0.000616850	+	0.00189847i
$815$	34.4687	−	3.19185i	1.20738	−	0.111806i
$816$	−2.68085	+	8.25081i	−0.0938486	+	0.288836i
$817$	1.20508	+	0.875542i	0.0421604	+	0.0306313i
$818$	22.8214			0.797930
$819$	5.39735	+	3.92140i	0.188599	+	0.137025i
$820$	−47.5366	+	41.7481i	−1.66005	+	1.45791i
$821$	37.5862	−	27.3080i	1.31177	−	0.953056i	0.311773	−	0.950157i	$-0.399077\pi$
$821$	37.5862	−	27.3080i	1.31177	−	0.953056i	0.999996	−	0.00289886i	$-0.000922738\pi$
$822$	−28.8489	+	20.9600i	−1.00622	+	0.731062i
$823$	2.21729	+	6.82413i	0.0772900	+	0.237874i	0.982235	−	0.187654i	$-0.0600884\pi$
$823$	2.21729	+	6.82413i	0.0772900	+	0.237874i	−0.904945	+	0.425528i	$0.860088\pi$
$824$	5.43916			0.189482
$825$	11.6634	−	2.17879i	0.406069	−	0.0758557i
$826$	−27.8766			−0.969951
$827$	−2.63484	−	8.10921i	−0.0916224	−	0.281985i	0.894736	−	0.446595i	$-0.147363\pi$
$827$	−2.63484	−	8.10921i	−0.0916224	−	0.281985i	−0.986359	+	0.164610i	$0.947363\pi$
$828$	20.1669	−	14.6521i	0.700847	−	0.509195i
$829$	−22.1672	+	16.1054i	−0.769897	+	0.559363i	−0.901930	−	0.431882i	$-0.857850\pi$
$829$	−22.1672	+	16.1054i	−0.769897	+	0.559363i	0.132033	+	0.991245i	$0.457850\pi$
$830$	67.6459	−	6.26411i	2.34802	−	0.217431i
$831$	−12.8911	−	9.36594i	−0.447188	−	0.324901i
$832$	−80.8297			−2.80227
$833$	−5.57125	−	4.04775i	−0.193032	−	0.140246i
$834$	−4.98633	+	15.3463i	−0.172663	+	0.531401i
$835$	−2.92766	+	12.9811i	−0.101316	+	0.449230i
$836$	0.461162	+	1.41931i	0.0159496	+	0.0490879i
$837$	0.897079	−	2.76093i	0.0310076	−	0.0954315i
$838$	1.66870	−	5.13574i	0.0576444	−	0.177411i
$839$	0.316357	+	0.973645i	0.0109218	+	0.0336140i	0.956369	−	0.292162i	$-0.0943746\pi$
$839$	0.316357	+	0.973645i	0.0109218	+	0.0336140i	−0.945447	+	0.325776i	$0.894375\pi$
$840$	−3.11481	−	7.23578i	−0.107471	−	0.249658i
$841$	−5.29997	+	16.3116i	−0.182758	+	0.562470i
$842$	−31.5882	−	22.9502i	−1.08860	−	0.790915i
$843$	1.03523			0.0356552
$844$	15.4704	+	11.2399i	0.532513	+	0.386894i
$845$	15.5007	−	68.7295i	0.533241	−	2.36437i
$846$	3.42732	−	2.49009i	0.117834	−	0.0856112i
$847$	−4.34335	+	3.15563i	−0.149239	+	0.108429i
$848$	−0.367690	−	1.13163i	−0.0126265	−	0.0388605i
$849$	16.0818			0.551926
$850$	−38.6383	−	70.9231i	−1.32528	−	2.43264i
$851$	−0.0728309			−0.00249661
$852$	−4.75706	−	14.6407i	−0.162974	−	0.501583i
$853$	20.6962	−	15.0366i	0.708623	−	0.514845i	−0.174106	−	0.984727i	$-0.555704\pi$
$853$	20.6962	−	15.0366i	0.708623	−	0.514845i	0.882729	+	0.469882i	$0.155704\pi$
$854$	−5.80550	+	4.21795i	−0.198660	+	0.144335i
$855$	0.345240	+	0.205065i	0.0118070	+	0.00701309i
$856$	−9.39556	−	6.82628i	−0.321134	−	0.233317i
$857$	11.1407			0.380557			0.190279	−	0.981730i	$-0.439061\pi$
$857$	11.1407			0.380557			0.190279	+	0.981730i	$0.439061\pi$
$858$	30.0431	+	21.8276i	1.02565	+	0.745181i
$859$	−2.75032	+	8.46462i	−0.0938397	+	0.288809i	−0.986950	−	0.161030i	$-0.948519\pi$
$859$	−2.75032	+	8.46462i	−0.0938397	+	0.288809i	0.893110	+	0.449839i	$0.148519\pi$
$860$	−55.8445	−	33.1704i	−1.90428	−	1.13110i
$861$	2.49666	+	7.68393i	0.0850860	+	0.261868i
$862$	20.9367	−	64.4365i	0.713107	−	2.19472i
$863$	0.914872	−	2.81569i	0.0311426	−	0.0958471i	−0.934277	−	0.356548i	$-0.883954\pi$
$863$	0.914872	−	2.81569i	0.0311426	−	0.0958471i	0.965420	+	0.260701i	$0.0839536\pi$
$864$	−1.26421	−	3.89084i	−0.0430093	−	0.132369i
$865$	−8.02777	+	7.05023i	−0.272952	+	0.239715i
$866$	−22.6958	+	69.8504i	−0.771233	+	2.37361i
$867$	24.6129	+	17.8823i	0.835896	+	0.607314i
$868$	10.1662			0.345064
$869$	3.61616	+	2.62730i	0.122670	+	0.0891249i
$870$	−7.13862	−	16.5832i	−0.242022	−	0.562222i
$871$	64.5230	−	46.8787i	2.18628	−	1.58842i
$872$	−33.2273	+	24.1410i	−1.12522	+	0.817518i
$873$	3.24154	+	9.97643i	0.109709	+	0.337651i
$874$	−2.99836			−0.101421
$875$	10.4975	+	3.84740i	0.354880	+	0.130066i
$876$	−28.4574			−0.961487
$877$	10.5896	+	32.5913i	0.357584	+	1.10053i	0.954496	+	0.298224i	$0.0963943\pi$
$877$	10.5896	+	32.5913i	0.357584	+	1.10053i	−0.596912	+	0.802307i	$0.703606\pi$
$878$	7.14379	−	5.19026i	0.241091	−	0.175163i
$879$	20.1149	−	14.6143i	0.678459	−	0.492929i
$880$	−2.64312	−	6.14002i	−0.0890994	−	0.206980i
$881$	30.9094	+	22.4570i	1.04137	+	0.756596i	0.970552	−	0.240893i	$-0.0774403\pi$
$881$	30.9094	+	22.4570i	1.04137	+	0.756596i	0.0708139	+	0.997490i	$0.477440\pi$
$882$	−2.34562			−0.0789813
$883$	−41.2468	−	29.9675i	−1.38806	−	1.00849i	−0.996075	−	0.0885179i	$-0.971787\pi$
$883$	−41.2468	−	29.9675i	−1.38806	−	1.00849i	−0.391989	−	0.919970i	$-0.628213\pi$
$884$	49.7177	−	153.015i	1.67219	−	5.14646i
$885$	−19.9674	+	17.5360i	−0.671197	+	0.589465i
$886$	−15.6914	−	48.2932i	−0.527163	−	1.62244i
$887$	−14.9924	+	46.1420i	−0.503397	+	1.54930i	0.300053	+	0.953923i	$0.402996\pi$
$887$	−14.9924	+	46.1420i	−0.503397	+	1.54930i	−0.803449	+	0.595373i	$0.797004\pi$
$888$	0.0111389	−	0.0342821i	0.000373798	−	0.00115043i
$889$	1.81415	+	5.58337i	0.0608445	+	0.187260i
$890$	−52.3506	−	31.0951i	−1.75480	−	1.04231i
$891$	−0.733310	+	2.25690i	−0.0245668	+	0.0756088i
$892$	−41.5995	−	30.2238i	−1.39285	−	1.01197i
$893$	−0.324335			−0.0108534
$894$	0.821835	+	0.597098i	0.0274863	+	0.0199699i
$895$	−34.1811	−	20.3029i	−1.14255	−	0.678650i
$896$	16.3718	−	11.8948i	0.546945	−	0.397379i
$897$	−38.4194	+	27.9133i	−1.28279	+	0.931999i
$898$	−10.2680	−	31.6017i	−0.342648	−	1.05456i
$899$	9.99282			0.333279
$900$	−15.8147	−	7.51575i	−0.527158	−	0.250525i
$901$	−6.50429			−0.216689
$902$	13.8971	+	42.7708i	0.462722	+	1.42411i
$903$	−6.71059	+	4.87553i	−0.223314	+	0.162247i
$904$	31.6844	−	23.0201i	1.05381	−	0.765636i
$905$	−6.92584	+	30.7088i	−0.230223	+	1.02080i
$906$	−29.7087	−	21.5846i	−0.987006	−	0.717102i
$907$	8.93453			0.296666			0.148333	−	0.988937i	$-0.452609\pi$
$907$	8.93453			0.296666			0.148333	+	0.988937i	$0.452609\pi$
$908$	60.1886	+	43.7296i	1.99743	+	1.45122i
$909$	−5.05088	+	15.5450i	−0.167527	+	0.515595i
$910$	13.8356	+	32.1404i	0.458645	+	1.06544i
$911$	16.9686	+	52.2240i	0.562195	+	1.73026i	0.676143	+	0.736771i	$0.263650\pi$
$911$	16.9686	+	52.2240i	0.562195	+	1.73026i	−0.113948	+	0.993487i	$0.536350\pi$
$912$	0.0699090	−	0.215158i	0.00231492	−	0.00712458i
$913$	9.49816	−	29.2323i	0.314343	−	0.967449i
$914$	−10.3643	−	31.8980i	−0.342820	−	1.05509i
$915$	−1.50503	+	6.67322i	−0.0497546	+	0.220610i
$916$	−29.3858	+	90.4403i	−0.970935	+	2.98823i
$917$	−17.0865	−	12.4141i	−0.564246	−	0.409948i
$918$	16.1530			0.533129
$919$	18.6667	+	13.5621i	0.615756	+	0.447373i	0.851437	−	0.524458i	$-0.175732\pi$
$919$	18.6667	+	13.5621i	0.615756	+	0.447373i	−0.235680	+	0.971831i	$0.575732\pi$
$920$	55.8363	−	5.17053i	1.84087	−	0.170467i
$921$	−15.2265	+	11.0627i	−0.501730	+	0.364528i
$922$	34.5280	−	25.0861i	1.13712	−	0.826166i
$923$	9.06255	+	27.8917i	0.298298	+	0.918066i
$924$	−8.31028			−0.273388
$925$	0.0244743	+	0.0449241i	0.000804710	+	0.00147710i
$926$	13.0167			0.427755
$927$	−0.477088	−	1.46833i	−0.0156696	−	0.0482261i
$928$	11.3929	−	8.27743i	0.373991	−	0.271720i
$929$	17.0669	−	12.3998i	0.559945	−	0.406824i	−0.271494	−	0.962440i	$-0.587518\pi$
$929$	17.0669	−	12.3998i	0.559945	−	0.406824i	0.831439	+	0.555616i	$0.187518\pi$
$930$	11.4406	−	10.0474i	0.375151	−	0.329469i
$931$	0.145282	+	0.105554i	0.00476144	+	0.00345939i
$932$	−57.0082			−1.86737
$933$	10.8933	+	7.91442i	0.356629	+	0.259106i
$934$	8.53015	−	26.2531i	0.279115	−	0.859028i
$935$	−36.3857	+	3.36938i	−1.18994	+	0.110190i
$936$	−7.26308	−	22.3535i	−0.237401	−	0.730646i
$937$	3.17997	−	9.78695i	0.103885	−	0.319726i	−0.885582	−	0.464483i	$-0.846240\pi$
$937$	3.17997	−	9.78695i	0.103885	−	0.319726i	0.989467	+	0.144757i	$0.0462402\pi$
$938$	−8.66513	+	26.6685i	−0.282926	+	0.870758i
$939$	0.760050	+	2.33919i	0.0248033	+	0.0763367i
$940$	14.0825	−	1.30406i	0.459321	−	0.0425338i
$941$	−15.8116	+	48.6630i	−0.515442	+	1.58637i	0.267034	+	0.963687i	$0.413956\pi$
$941$	−15.8116	+	48.6630i	−0.515442	+	1.58637i	−0.782476	+	0.622680i	$0.786044\pi$
$942$	16.2769	+	11.8259i	0.530331	+	0.385308i
$943$	−57.5105			−1.87280
$944$	12.1125	+	8.80025i	0.394229	+	0.286424i
$945$	−1.68012	+	1.47553i	−0.0546543	+	0.0479991i
$946$	−37.3529	+	27.1385i	−1.21445	+	0.882348i
$947$	28.1279	−	20.4361i	0.914034	−	0.664085i	−0.0279978	−	0.999608i	$-0.508913\pi$
$947$	28.1279	−	20.4361i	0.914034	−	0.664085i	0.942032	+	0.335523i	$0.108913\pi$
$948$	−2.03835	−	6.27339i	−0.0662025	−	0.203750i
$949$	54.2135			1.75985
$950$	1.00758	+	1.84947i	0.0326901	+	0.0600048i
$951$	−7.97078			−0.258470
$952$	7.49710	+	23.0737i	0.242982	+	0.747823i
$953$	−11.1733	+	8.11784i	−0.361937	+	0.262963i	−0.753860	−	0.657036i	$-0.771810\pi$
$953$	−11.1733	+	8.11784i	−0.361937	+	0.262963i	0.391922	+	0.919998i	$0.371810\pi$
$954$	−1.79234	+	1.30221i	−0.0580292	+	0.0421607i
$955$	−39.5470	+	3.66212i	−1.27971	+	0.118503i
$956$	36.0475	+	26.1901i	1.16586	+	0.847047i
$957$	−8.16855			−0.264052
$958$	61.7051	+	44.8313i	1.99360	+	1.44844i
$959$	−4.69781	+	14.4584i	−0.151700	+	0.466885i
$960$	5.96030	−	26.4277i	0.192368	−	0.852951i
$961$	−6.97530	−	21.4678i	−0.225010	−	0.692508i
$962$	−0.0494777	+	0.152277i	−0.00159523	+	0.00490960i
$963$	−1.01867	+	3.13513i	−0.0328261	+	0.101028i
$964$	24.5880	+	75.6742i	0.791928	+	2.43730i
$965$	−8.16710	−	18.9724i	−0.262908	−	0.610742i
$966$	5.15954	−	15.8794i	0.166005	−	0.510912i
$967$	30.9976	+	22.5211i	0.996816	+	0.724229i	0.961403	−	0.275144i	$-0.0887255\pi$
$967$	30.9976	+	22.5211i	0.996816	+	0.724229i	0.0354126	+	0.999373i	$0.488725\pi$
$968$	18.9140			0.607918
$969$	−1.00048	−	0.726891i	−0.0321400	−	0.0233511i
$970$	−12.1045	+	53.6709i	−0.388653	+	1.72327i
$971$	−10.6289	+	7.72234i	−0.341097	+	0.247822i	−0.745125	−	0.666925i	$-0.767610\pi$
$971$	−10.6289	+	7.72234i	−0.341097	+	0.247822i	0.404027	+	0.914747i	$0.367610\pi$
$972$	2.83314	−	2.05840i	0.0908731	−	0.0660231i
$973$	2.12580	+	6.54254i	0.0681500	+	0.209744i
$974$	−13.9981			−0.448529
$975$	30.1283	+	14.3181i	0.964877	+	0.458546i
$976$	3.85406			0.123366
$977$	2.03029	+	6.24858i	0.0649546	+	0.199910i	0.978267	−	0.207351i	$-0.0664841\pi$
$977$	2.03029	+	6.24858i	0.0649546	+	0.199910i	−0.913312	+	0.407260i	$0.866484\pi$
$978$	−29.3772	+	21.3438i	−0.939378	+	0.682498i
$979$	−22.2874	+	16.1927i	−0.712308	+	0.517522i
$980$	−6.73251	−	3.99897i	−0.215062	−	0.127742i
$981$	9.43146	+	6.85236i	0.301123	+	0.218779i
$982$	5.95490			0.190029
$983$	−22.1927	−	16.1239i	−0.707837	−	0.514274i	0.174638	−	0.984633i	$-0.444125\pi$
$983$	−22.1927	−	16.1239i	−0.707837	−	0.514274i	−0.882475	+	0.470359i	$0.844125\pi$
$984$	8.79579	−	27.0707i	0.280400	−	0.862982i
$985$	13.8394	+	8.22032i	0.440961	+	0.261921i
$986$	17.1821	+	52.8810i	0.547189	+	1.68407i
$987$	0.558111	−	1.71769i	0.0177649	−	0.0546747i
$988$	−1.29650	+	3.99020i	−0.0412470	+	0.126945i
$989$	−18.2455	−	56.1538i	−0.580173	−	1.78559i
$990$	−9.35199	+	8.21320i	−0.297226	+	0.261033i
$991$	3.84376	−	11.8299i	0.122101	−	0.375788i	−0.871261	−	0.490820i	$-0.836697\pi$
$991$	3.84376	−	11.8299i	0.122101	−	0.375788i	0.993362	+	0.115032i	$0.0366972\pi$
$992$	9.60823	+	6.98079i	0.305061	+	0.221640i
$993$	−7.72647			−0.245192
$994$	−8.34183	−	6.06070i	−0.264587	−	0.192234i
$995$	13.8648	+	32.2083i	0.439544	+	1.02107i
$996$	−36.6961	+	26.6613i	−1.16276	+	0.844796i
$997$	−35.2958	+	25.6439i	−1.11783	+	0.812151i	−0.983879	−	0.178837i	$-0.942767\pi$
$997$	−35.2958	+	25.6439i	−1.11783	+	0.812151i	−0.133951	+	0.990988i	$0.542767\pi$
$998$	−22.5306	−	69.3421i	−0.713194	−	2.19499i
$999$	−0.0102317			−0.000323715

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	525.2.n.b.106.1	✓	20
25.21	even	5	inner	525.2.n.b.421.1	yes	20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
525.2.n.b.106.1	✓	20	1.1	even	1	trivial
525.2.n.b.421.1	yes	20	25.21	even	5	inner

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:	\( N \)	\(=\)	\( 525 = 3 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	525.n (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.724838 - 2.23082i) q^{2} +(0.809017 - 0.587785i) q^{3} +(-2.83314 + 2.05840i) q^{4} +(0.884129 + 2.05385i) q^{5} +(-1.89765 - 1.37872i) q^{6} -1.00000 q^{7} +(2.85019 + 2.07078i) q^{8} +(0.309017 - 0.951057i) q^{9} +O(q^{10})\)	\(q+(-0.724838 - 2.23082i) q^{2} +(0.809017 - 0.587785i) q^{3} +(-2.83314 + 2.05840i) q^{4} +(0.884129 + 2.05385i) q^{5} +(-1.89765 - 1.37872i) q^{6} -1.00000 q^{7} +(2.85019 + 2.07078i) q^{8} +(0.309017 - 0.951057i) q^{9} +(3.94093 - 3.46105i) q^{10} +(-0.733310 - 2.25690i) q^{11} +(-1.08216 + 3.33056i) q^{12} +(2.06160 - 6.34497i) q^{13} +(0.724838 + 2.23082i) q^{14} +(1.92250 + 1.14192i) q^{15} +(0.389294 - 1.19812i) q^{16} +(-5.57125 - 4.04775i) q^{17} -2.34562 q^{18} +(0.145282 + 0.105554i) q^{19} +(-6.73251 - 3.99897i) q^{20} +(-0.809017 + 0.587785i) q^{21} +(-4.50320 + 3.27177i) q^{22} +(-2.19964 - 6.76981i) q^{23} +3.52302 q^{24} +(-3.43663 + 3.63174i) q^{25} -15.6488 q^{26} +(-0.309017 - 0.951057i) q^{27} +(2.83314 - 2.05840i) q^{28} +(2.78482 - 2.02329i) q^{29} +(1.15393 - 5.11647i) q^{30} +(2.34858 + 1.70635i) q^{31} +4.09107 q^{32} +(-1.91983 - 1.39484i) q^{33} +(-4.99156 + 15.3624i) q^{34} +(-0.884129 - 2.05385i) q^{35} +(1.08216 + 3.33056i) q^{36} +(0.00316176 - 0.00973088i) q^{37} +(0.130166 - 0.400608i) q^{38} +(-2.06160 - 6.34497i) q^{39} +(-1.73315 + 7.68470i) q^{40} +(2.49666 - 7.68393i) q^{41} +(1.89765 + 1.37872i) q^{42} +8.29474 q^{43} +(6.72316 + 4.88466i) q^{44} +(2.22654 - 0.206181i) q^{45} +(-13.5078 + 9.81403i) q^{46} +(-1.46115 + 1.06159i) q^{47} +(-0.389294 - 1.19812i) q^{48} +1.00000 q^{49} +(10.5928 + 5.03408i) q^{50} -6.88645 q^{51} +(7.21965 + 22.2198i) q^{52} +(0.764121 - 0.555166i) q^{53} +(-1.89765 + 1.37872i) q^{54} +(3.98699 - 3.50150i) q^{55} +(-2.85019 - 2.07078i) q^{56} +0.179579 q^{57} +(-6.53215 - 4.74588i) q^{58} +(-3.67251 + 11.3028i) q^{59} +(-7.79725 + 0.722038i) q^{60} +(0.945379 + 2.90958i) q^{61} +(2.10421 - 6.47609i) q^{62} +(-0.309017 + 0.951057i) q^{63} +(-3.74395 - 11.5227i) q^{64} +(14.8544 - 1.37554i) q^{65} +(-1.72007 + 5.29383i) q^{66} +(9.67145 + 7.02672i) q^{67} +24.1160 q^{68} +(-5.75874 - 4.18397i) q^{69} +(-3.94093 + 3.46105i) q^{70} +(-3.55634 + 2.58383i) q^{71} +(2.85019 - 2.07078i) q^{72} +(2.51112 + 7.72843i) q^{73} -0.0239996 q^{74} +(-0.645607 + 4.95814i) q^{75} -0.628877 q^{76} +(0.733310 + 2.25690i) q^{77} +(-12.6602 + 9.19814i) q^{78} +(-1.52385 + 1.10714i) q^{79} +(2.80496 - 0.259743i) q^{80} +(-0.809017 - 0.587785i) q^{81} -18.9512 q^{82} +(10.4788 + 7.61326i) q^{83} +(1.08216 - 3.33056i) q^{84} +(3.38778 - 15.0213i) q^{85} +(-6.01234 - 18.5041i) q^{86} +(1.06371 - 3.27375i) q^{87} +(2.58347 - 7.95110i) q^{88} +(-3.58739 - 11.0409i) q^{89} +(-2.07384 - 4.81757i) q^{90} +(-2.06160 + 6.34497i) q^{91} +(20.1669 + 14.6521i) q^{92} +2.90301 q^{93} +(3.42732 + 2.49009i) q^{94} +(-0.0883437 + 0.391712i) q^{95} +(3.30975 - 2.40467i) q^{96} +(-8.48646 + 6.16577i) q^{97} +(-0.724838 - 2.23082i) q^{98} -2.37304 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 20 q - 2 q^{2} + 5 q^{3} + 5 q^{5} - 3 q^{6} - 20 q^{7} + 4 q^{8} - 5 q^{9}+O(q^{10}) \) 20 * q - 2 * q^2 + 5 * q^3 + 5 * q^5 - 3 * q^6 - 20 * q^7 + 4 * q^8 - 5 * q^9	\( 20 q - 2 q^{2} + 5 q^{3} + 5 q^{5} - 3 q^{6} - 20 q^{7} + 4 q^{8} - 5 q^{9} - 15 q^{10} + 12 q^{11} + 5 q^{12} - 17 q^{13} + 2 q^{14} + 15 q^{15} - 28 q^{16} - 9 q^{17} - 2 q^{18} - 9 q^{19} - 20 q^{20} - 5 q^{21} - 21 q^{22} + 7 q^{23} + 6 q^{24} - 15 q^{25} - 20 q^{26} + 5 q^{27} + 28 q^{29} + 6 q^{31} - 4 q^{32} + 3 q^{33} - 5 q^{35} - 5 q^{36} - 5 q^{37} - 6 q^{38} + 17 q^{39} - 10 q^{40} + 11 q^{41} + 3 q^{42} + 28 q^{43} - 17 q^{44} + 5 q^{45} - 43 q^{46} - 24 q^{47} + 28 q^{48} + 20 q^{49} + 10 q^{50} - 36 q^{51} - 9 q^{52} - 26 q^{53} - 3 q^{54} - 25 q^{55} - 4 q^{56} + 24 q^{57} - 16 q^{58} + 64 q^{59} + 5 q^{60} + 8 q^{61} + 27 q^{62} + 5 q^{63} + 26 q^{64} + 25 q^{65} - 4 q^{66} - 3 q^{67} + 80 q^{68} - 2 q^{69} + 15 q^{70} + 19 q^{71} + 4 q^{72} + 31 q^{73} + 8 q^{74} - 5 q^{75} - 72 q^{76} - 12 q^{77} - 30 q^{78} + 43 q^{79} - 25 q^{80} - 5 q^{81} - 6 q^{82} + 32 q^{83} - 5 q^{84} + 35 q^{85} + 53 q^{86} + 17 q^{87} - 61 q^{88} - 47 q^{89} + 10 q^{90} + 17 q^{91} + 41 q^{92} + 4 q^{93} + 12 q^{94} - 40 q^{95} - 6 q^{96} - 45 q^{97} - 2 q^{98} - 18 q^{99}+O(q^{100}) \) 20 * q - 2 * q^2 + 5 * q^3 + 5 * q^5 - 3 * q^6 - 20 * q^7 + 4 * q^8 - 5 * q^9 - 15 * q^10 + 12 * q^11 + 5 * q^12 - 17 * q^13 + 2 * q^14 + 15 * q^15 - 28 * q^16 - 9 * q^17 - 2 * q^18 - 9 * q^19 - 20 * q^20 - 5 * q^21 - 21 * q^22 + 7 * q^23 + 6 * q^24 - 15 * q^25 - 20 * q^26 + 5 * q^27 + 28 * q^29 + 6 * q^31 - 4 * q^32 + 3 * q^33 - 5 * q^35 - 5 * q^36 - 5 * q^37 - 6 * q^38 + 17 * q^39 - 10 * q^40 + 11 * q^41 + 3 * q^42 + 28 * q^43 - 17 * q^44 + 5 * q^45 - 43 * q^46 - 24 * q^47 + 28 * q^48 + 20 * q^49 + 10 * q^50 - 36 * q^51 - 9 * q^52 - 26 * q^53 - 3 * q^54 - 25 * q^55 - 4 * q^56 + 24 * q^57 - 16 * q^58 + 64 * q^59 + 5 * q^60 + 8 * q^61 + 27 * q^62 + 5 * q^63 + 26 * q^64 + 25 * q^65 - 4 * q^66 - 3 * q^67 + 80 * q^68 - 2 * q^69 + 15 * q^70 + 19 * q^71 + 4 * q^72 + 31 * q^73 + 8 * q^74 - 5 * q^75 - 72 * q^76 - 12 * q^77 - 30 * q^78 + 43 * q^79 - 25 * q^80 - 5 * q^81 - 6 * q^82 + 32 * q^83 - 5 * q^84 + 35 * q^85 + 53 * q^86 + 17 * q^87 - 61 * q^88 - 47 * q^89 + 10 * q^90 + 17 * q^91 + 41 * q^92 + 4 * q^93 + 12 * q^94 - 40 * q^95 - 6 * q^96 - 45 * q^97 - 2 * q^98 - 18 * q^99

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