LMFDB - Embedded newform 170.2.r.b.97.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [170,2,Mod(23,170)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(170, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([12, 15]))

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

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

chi := DirichletCharacter("170.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 170 = 2 \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	170.r (of order $16$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.35745683436$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$5$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			97.1
Character	$\chi$	$=$	170.97
Dual form			170.2.r.b.163.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.382683 - 0.923880i) q^{2} +(-0.592739 + 2.97990i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-1.33977 + 1.79026i) q^{5} +(2.52624 + 1.68798i) q^{6} +(-0.842302 - 0.562808i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(-5.75684 - 2.38456i) q^{9} +O(q^{10})$	\(q+(0.382683 - 0.923880i) q^{2} +(-0.592739 + 2.97990i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-1.33977 + 1.79026i) q^{5} +(2.52624 + 1.68798i) q^{6} +(-0.842302 - 0.562808i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(-5.75684 - 2.38456i) q^{9} +(1.14127 + 1.92289i) q^{10} +(-2.75037 + 4.11622i) q^{11} +(2.52624 - 1.68798i) q^{12} +6.20997 q^{13} +(-0.842302 + 0.562808i) q^{14} +(-4.54065 - 5.05354i) q^{15} +1.00000i q^{16} +(3.77471 + 1.65878i) q^{17} +(-4.40609 + 4.40609i) q^{18} +(-0.903448 + 0.374220i) q^{19} +(2.21326 - 0.318541i) q^{20} +(2.17638 - 2.17638i) q^{21} +(2.75037 + 4.11622i) q^{22} +(3.75243 - 0.746405i) q^{23} +(-0.592739 - 2.97990i) q^{24} +(-1.41003 - 4.79706i) q^{25} +(2.37645 - 5.73727i) q^{26} +(5.45412 - 8.16266i) q^{27} +(0.197632 + 0.993563i) q^{28} +(5.41437 + 1.07698i) q^{29} +(-6.40649 + 2.26111i) q^{30} +(-0.672510 - 1.00648i) q^{31} +(0.923880 + 0.382683i) q^{32} +(-10.6357 - 10.6357i) q^{33} +(2.97703 - 2.85259i) q^{34} +(2.13606 - 0.753902i) q^{35} +(2.38456 + 5.75684i) q^{36} +(-4.45280 - 0.885717i) q^{37} +0.977885i q^{38} +(-3.68089 + 18.5051i) q^{39} +(0.552685 - 2.16669i) q^{40} +(-3.09980 + 0.616588i) q^{41} +(-1.17785 - 2.84358i) q^{42} +(3.62056 + 8.74081i) q^{43} +(4.85541 - 0.965801i) q^{44} +(11.9818 - 7.11145i) q^{45} +(0.746405 - 3.75243i) q^{46} +2.54197i q^{47} +(-2.97990 - 0.592739i) q^{48} +(-2.28606 - 5.51905i) q^{49} +(-4.97150 - 0.533057i) q^{50} +(-7.18043 + 10.2650i) q^{51} +(-4.39111 - 4.39111i) q^{52} +(-0.855178 - 0.354226i) q^{53} +(-5.45412 - 8.16266i) q^{54} +(-3.68422 - 10.4386i) q^{55} +(0.993563 + 0.197632i) q^{56} +(-0.579631 - 2.91400i) q^{57} +(3.06699 - 4.59008i) q^{58} +(1.04517 - 2.52327i) q^{59} +(-0.362666 + 6.78412i) q^{60} +(-0.741467 - 3.72761i) q^{61} +(-1.18723 + 0.236154i) q^{62} +(3.50694 + 5.24851i) q^{63} +(0.707107 - 0.707107i) q^{64} +(-8.31993 + 11.1174i) q^{65} +(-13.8962 + 5.75598i) q^{66} +(3.21572 - 3.21572i) q^{67} +(-1.49619 - 3.84206i) q^{68} +11.6243i q^{69} +(0.120920 - 2.26197i) q^{70} +(-4.85314 + 3.24276i) q^{71} +6.23115 q^{72} +(9.12507 - 6.09718i) q^{73} +(-2.52231 + 3.77490i) q^{74} +(15.1306 - 1.35835i) q^{75} +(0.903448 + 0.374220i) q^{76} +(4.63328 - 1.91917i) q^{77} +(15.6879 + 10.4823i) q^{78} +(3.24765 + 2.17001i) q^{79} +(-1.79026 - 1.33977i) q^{80} +(7.87280 + 7.87280i) q^{81} +(-0.616588 + 3.09980i) q^{82} +(0.660244 - 1.59397i) q^{83} -3.07786 q^{84} +(-8.02689 + 4.53531i) q^{85} +9.46098 q^{86} +(-6.41862 + 15.4959i) q^{87} +(0.965801 - 4.85541i) q^{88} +(5.57322 + 5.57322i) q^{89} +(-1.98488 - 13.7912i) q^{90} +(-5.23067 - 3.49502i) q^{91} +(-3.18116 - 2.12558i) q^{92} +(3.39784 - 1.40743i) q^{93} +(2.34847 + 0.972768i) q^{94} +(0.540462 - 2.11877i) q^{95} +(-1.68798 + 2.52624i) q^{96} +(0.838725 - 0.560418i) q^{97} -5.97377 q^{98} +(25.6488 - 17.1380i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q+O(q^{10}) $ 40 * q	$ 40 q - 16 q^{10} - 16 q^{18} + 8 q^{25} - 8 q^{26} + 24 q^{27} - 8 q^{28} + 8 q^{29} + 16 q^{30} - 16 q^{31} - 32 q^{33} + 8 q^{34} - 32 q^{35} - 32 q^{39} - 56 q^{41} - 24 q^{42} + 16 q^{43} + 16 q^{44} + 24 q^{45} + 16 q^{49} - 32 q^{51} - 16 q^{52} + 16 q^{53} - 24 q^{54} - 8 q^{55} - 8 q^{56} - 120 q^{57} + 16 q^{58} + 8 q^{60} + 24 q^{61} - 8 q^{62} - 24 q^{63} - 32 q^{65} + 16 q^{67} - 8 q^{70} + 24 q^{71} + 56 q^{72} + 88 q^{73} + 32 q^{74} + 8 q^{75} + 24 q^{77} + 32 q^{78} - 104 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} + 136 q^{85} + 96 q^{86} + 136 q^{87} - 16 q^{89} + 24 q^{90} + 48 q^{91} - 8 q^{92} - 8 q^{93} - 8 q^{94} - 136 q^{95} + 16 q^{97} + 72 q^{98} + 160 q^{99}+O(q^{100}) $ 40 * q - 16 * q^10 - 16 * q^18 + 8 * q^25 - 8 * q^26 + 24 * q^27 - 8 * q^28 + 8 * q^29 + 16 * q^30 - 16 * q^31 - 32 * q^33 + 8 * q^34 - 32 * q^35 - 32 * q^39 - 56 * q^41 - 24 * q^42 + 16 * q^43 + 16 * q^44 + 24 * q^45 + 16 * q^49 - 32 * q^51 - 16 * q^52 + 16 * q^53 - 24 * q^54 - 8 * q^55 - 8 * q^56 - 120 * q^57 + 16 * q^58 + 8 * q^60 + 24 * q^61 - 8 * q^62 - 24 * q^63 - 32 * q^65 + 16 * q^67 - 8 * q^70 + 24 * q^71 + 56 * q^72 + 88 * q^73 + 32 * q^74 + 8 * q^75 + 24 * q^77 + 32 * q^78 - 104 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 + 136 * q^85 + 96 * q^86 + 136 * q^87 - 16 * q^89 + 24 * q^90 + 48 * q^91 - 8 * q^92 - 8 * q^93 - 8 * q^94 - 136 * q^95 + 16 * q^97 + 72 * q^98 + 160 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/170\mathbb{Z}\right)^\times$.

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	0.382683	−	0.923880i	0.270598	−	0.653281i
$2$	0.382683	−	0.923880i	0.270598	−	0.653281i
$3$	−0.592739	+	2.97990i	−0.342218	+	1.72045i	0.300012	+	0.953935i	$0.403009\pi$
$3$	−0.592739	+	2.97990i	−0.342218	+	1.72045i	−0.642230	+	0.766512i	$0.721991\pi$
$4$	−0.707107	−	0.707107i	−0.353553	−	0.353553i
$5$	−1.33977	+	1.79026i	−0.599163	+	0.800627i
$5$	−1.33977	+	1.79026i	−0.599163	+	0.800627i
$6$	2.52624	+	1.68798i	1.03133	+	0.689114i
$7$	−0.842302	−	0.562808i	−0.318360	−	0.212721i	0.386114	−	0.922451i	$-0.373817\pi$
$7$	−0.842302	−	0.562808i	−0.318360	−	0.212721i	−0.704474	+	0.709730i	$0.748817\pi$
$8$	−0.923880	+	0.382683i	−0.326641	+	0.135299i
$9$	−5.75684	−	2.38456i	−1.91895	−	0.794853i
$10$	1.14127	+	1.92289i	0.360902	+	0.608070i
$11$	−2.75037	+	4.11622i	−0.829267	+	1.24109i	0.138781	+	0.990323i	$0.455681\pi$
$11$	−2.75037	+	4.11622i	−0.829267	+	1.24109i	−0.968049	+	0.250763i	$0.919319\pi$
$12$	2.52624	−	1.68798i	0.729262	−	0.487277i
$13$	6.20997			1.72234			0.861168	−	0.508320i	$-0.169733\pi$
$13$	6.20997			1.72234			0.861168	+	0.508320i	$0.169733\pi$
$14$	−0.842302	+	0.562808i	−0.225115	+	0.150417i
$15$	−4.54065	−	5.05354i	−1.17239	−	1.30482i
$16$			1.00000i			0.250000i
$17$	3.77471	+	1.65878i	0.915502	+	0.402314i
$17$	3.77471	+	1.65878i	0.915502	+	0.402314i
$18$	−4.40609	+	4.40609i	−1.03853	+	1.03853i
$19$	−0.903448	+	0.374220i	−0.207265	+	0.0858520i	−0.483901	−	0.875123i	$-0.660780\pi$
$19$	−0.903448	+	0.374220i	−0.207265	+	0.0858520i	0.276636	+	0.960975i	$0.410780\pi$
$20$	2.21326	−	0.318541i	0.494901	−	0.0712280i
$21$	2.17638	−	2.17638i	0.474925	−	0.474925i
$22$	2.75037	+	4.11622i	0.586380	+	0.877580i
$23$	3.75243	−	0.746405i	0.782436	−	0.155636i	0.212320	−	0.977200i	$-0.431898\pi$
$23$	3.75243	−	0.746405i	0.782436	−	0.155636i	0.570116	+	0.821564i	$0.306898\pi$
$24$	−0.592739	−	2.97990i	−0.120992	−	0.608270i
$25$	−1.41003	−	4.79706i	−0.282006	−	0.959413i
$26$	2.37645	−	5.73727i	0.466061	−	1.12517i
$27$	5.45412	−	8.16266i	1.04965	−	1.57091i
$28$	0.197632	+	0.993563i	0.0373489	+	0.187766i
$29$	5.41437	+	1.07698i	1.00542	+	0.199991i	0.670226	−	0.742157i	$-0.266197\pi$
$29$	5.41437	+	1.07698i	1.00542	+	0.199991i	0.335197	+	0.942148i	$0.391197\pi$
$30$	−6.40649	+	2.26111i	−1.16966	+	0.412820i
$31$	−0.672510	−	1.00648i	−0.120786	−	0.180770i	0.766149	−	0.642663i	$-0.222170\pi$
$31$	−0.672510	−	1.00648i	−0.120786	−	0.180770i	−0.886936	+	0.461893i	$0.847170\pi$
$32$	0.923880	+	0.382683i	0.163320	+	0.0676495i
$33$	−10.6357	−	10.6357i	−1.85143	−	1.85143i
$34$	2.97703	−	2.85259i	0.510557	−	0.489215i
$35$	2.13606	−	0.753902i	0.361060	−	0.127433i
$36$	2.38456	+	5.75684i	0.397427	+	0.959473i
$37$	−4.45280	−	0.885717i	−0.732036	−	0.145611i	−0.185022	−	0.982734i	$-0.559236\pi$
$37$	−4.45280	−	0.885717i	−0.732036	−	0.145611i	−0.547014	+	0.837124i	$0.684236\pi$
$38$			0.977885i			0.158634i
$39$	−3.68089	+	18.5051i	−0.589415	+	2.96319i
$40$	0.552685	−	2.16669i	0.0873872	−	0.342584i
$41$	−3.09980	+	0.616588i	−0.484107	+	0.0962949i	−0.431109	−	0.902300i	$-0.641878\pi$
$41$	−3.09980	+	0.616588i	−0.484107	+	0.0962949i	−0.0529979	+	0.998595i	$0.516878\pi$
$42$	−1.17785	−	2.84358i	−0.181746	−	0.438773i
$43$	3.62056	+	8.74081i	0.552130	+	1.33296i	0.915876	+	0.401462i	$0.131498\pi$
$43$	3.62056	+	8.74081i	0.552130	+	1.33296i	−0.363745	+	0.931498i	$0.618502\pi$
$44$	4.85541	−	0.965801i	0.731980	−	0.145600i
$45$	11.9818	−	7.11145i	1.78614	−	1.06011i
$46$	0.746405	−	3.75243i	0.110051	−	0.553266i
$47$			2.54197i			0.370784i	0.982665	+	0.185392i	$0.0593554\pi$
$47$			2.54197i			0.370784i	−0.982665	+	0.185392i	$0.940645\pi$
$48$	−2.97990	−	0.592739i	−0.430112	−	0.0855545i
$49$	−2.28606	−	5.51905i	−0.326581	−	0.788435i
$50$	−4.97150	−	0.533057i	−0.703077	−	0.0753856i
$51$	−7.18043	+	10.2650i	−1.00546	+	1.43739i
$52$	−4.39111	−	4.39111i	−0.608938	−	0.608938i
$53$	−0.855178	−	0.354226i	−0.117468	−	0.0486567i	0.323175	−	0.946339i	$-0.395250\pi$
$53$	−0.855178	−	0.354226i	−0.117468	−	0.0486567i	−0.440643	+	0.897682i	$0.645250\pi$
$54$	−5.45412	−	8.16266i	−0.742211	−	1.11080i
$55$	−3.68422	−	10.4386i	−0.496780	−	1.40755i
$56$	0.993563	+	0.197632i	0.132770	+	0.0264097i
$57$	−0.579631	−	2.91400i	−0.0767740	−	0.385969i
$58$	3.06699	−	4.59008i	0.402716	−	0.602707i
$59$	1.04517	−	2.52327i	0.136070	−	0.328502i	−0.841127	−	0.540838i	$-0.818107\pi$
$59$	1.04517	−	2.52327i	0.136070	−	0.328502i	0.977197	+	0.212336i	$0.0681071\pi$
$60$	−0.362666	+	6.78412i	−0.0468199	+	0.875826i
$61$	−0.741467	−	3.72761i	−0.0949352	−	0.477271i	−0.998779	−	0.0494082i	$-0.984266\pi$
$61$	−0.741467	−	3.72761i	−0.0949352	−	0.477271i	0.903843	−	0.427863i	$-0.140734\pi$
$62$	−1.18723	+	0.236154i	−0.150778	+	0.0299916i
$63$	3.50694	+	5.24851i	0.441833	+	0.661250i
$64$	0.707107	−	0.707107i	0.0883883	−	0.0883883i
$65$	−8.31993	+	11.1174i	−1.03196	+	1.37895i
$66$	−13.8962	+	5.75598i	−1.71050	+	0.708512i
$67$	3.21572	−	3.21572i	0.392863	−	0.392863i	−0.482843	−	0.875707i	$-0.660396\pi$
$67$	3.21572	−	3.21572i	0.392863	−	0.392863i	0.875707	+	0.482843i	$0.160396\pi$
$68$	−1.49619	−	3.84206i	−0.181439	−	0.465918i
$69$			11.6243i			1.39940i
$70$	0.120920	−	2.26197i	0.0144528	−	0.270357i
$71$	−4.85314	+	3.24276i	−0.575961	+	0.384845i	−0.809164	−	0.587583i	$-0.800080\pi$
$71$	−4.85314	+	3.24276i	−0.575961	+	0.384845i	0.233202	+	0.972428i	$0.425080\pi$
$72$	6.23115			0.734348
$73$	9.12507	−	6.09718i	1.06801	−	0.713621i	0.108159	−	0.994134i	$-0.465505\pi$
$73$	9.12507	−	6.09718i	1.06801	−	0.713621i	0.959850	+	0.280513i	$0.0905045\pi$
$74$	−2.52231	+	3.77490i	−0.293212	+	0.438823i
$75$	15.1306	−	1.35835i	1.74713	−	0.156849i
$76$	0.903448	+	0.374220i	0.103633	+	0.0429260i
$77$	4.63328	−	1.91917i	0.528011	−	0.218709i
$78$	15.6879	+	10.4823i	1.77630	+	1.18689i
$79$	3.24765	+	2.17001i	0.365389	+	0.244145i	0.724688	−	0.689077i	$-0.241984\pi$
$79$	3.24765	+	2.17001i	0.365389	+	0.244145i	−0.359299	+	0.933223i	$0.616984\pi$
$80$	−1.79026	−	1.33977i	−0.200157	−	0.149791i
$81$	7.87280	+	7.87280i	0.874755	+	0.874755i
$82$	−0.616588	+	3.09980i	−0.0680908	+	0.342315i
$83$	0.660244	−	1.59397i	0.0724712	−	0.174961i	−0.883493	−	0.468445i	$-0.844815\pi$
$83$	0.660244	−	1.59397i	0.0724712	−	0.174961i	0.955964	+	0.293484i	$0.0948146\pi$
$84$	−3.07786			−0.335822
$85$	−8.02689	+	4.53531i	−0.870638	+	0.491923i
$86$	9.46098			1.02020
$87$	−6.41862	+	15.4959i	−0.688148	+	1.66134i
$88$	0.965801	−	4.85541i	0.102955	−	0.517588i
$89$	5.57322	+	5.57322i	0.590761	+	0.590761i	0.937837	−	0.347076i	$-0.112826\pi$
$89$	5.57322	+	5.57322i	0.590761	+	0.590761i	−0.347076	+	0.937837i	$0.612826\pi$
$90$	−1.98488	−	13.7912i	−0.209225	−	1.45372i
$91$	−5.23067	−	3.49502i	−0.548323	−	0.366378i
$92$	−3.18116	−	2.12558i	−0.331659	−	0.221607i
$93$	3.39784	−	1.40743i	0.352340	−	0.145944i
$94$	2.34847	+	0.972768i	0.242226	+	0.100333i
$95$	0.540462	−	2.11877i	0.0554503	−	0.217381i
$96$	−1.68798	+	2.52624i	−0.172279	+	0.257833i
$97$	0.838725	−	0.560418i	0.0851596	−	0.0569018i	−0.512261	−	0.858830i	$-0.671192\pi$
$97$	0.838725	−	0.560418i	0.0851596	−	0.0569018i	0.597421	+	0.801928i	$0.296192\pi$
$98$	−5.97377			−0.603442
$99$	25.6488	−	17.1380i	2.57780	−	1.72243i
$100$	−2.39499	+	4.38908i	−0.239499	+	0.438908i
$101$			11.8429i			1.17841i	0.807983	+	0.589206i	$0.200559\pi$
$101$			11.8429i			1.17841i	−0.807983	+	0.589206i	$0.799441\pi$
$102$	6.73583	+	10.5621i	0.666947	+	1.04580i
$103$	−4.47250	+	4.47250i	−0.440689	+	0.440689i	−0.892244	−	0.451555i	$-0.850870\pi$
$103$	−4.47250	+	4.47250i	−0.440689	+	0.440689i	0.451555	+	0.892244i	$0.350870\pi$
$104$	−5.73727	+	2.37645i	−0.562585	+	0.233030i
$105$	0.980427	+	6.81212i	0.0956799	+	0.664795i
$106$	−0.654525	+	0.654525i	−0.0635731	+	0.0635731i
$107$	2.26913	+	3.39599i	0.219365	+	0.328303i	0.924787	−	0.380484i	$-0.124243\pi$
$107$	2.26913	+	3.39599i	0.219365	+	0.328303i	−0.705422	+	0.708787i	$0.749243\pi$
$108$	−9.62852	+	1.91523i	−0.926505	+	0.184293i
$109$	−1.14411	−	5.75182i	−0.109586	−	0.550924i	−0.996101	−	0.0882243i	$-0.971881\pi$
$109$	−1.14411	−	5.75182i	−0.109586	−	0.550924i	0.886515	−	0.462700i	$-0.153119\pi$
$110$	−11.0539	−	0.590922i	−1.05395	−	0.0563422i
$111$	5.27870	−	12.7439i	0.501032	−	1.20960i
$112$	0.562808	−	0.842302i	0.0531804	−	0.0795901i
$113$	0.817755	+	4.11113i	0.0769279	+	0.386743i	0.999998	+	0.00211037i	$0.000671752\pi$
$113$	0.817755	+	4.11113i	0.0769279	+	0.386743i	−0.923070	+	0.384632i	$0.874328\pi$
$114$	−2.91400	−	0.579631i	−0.272921	−	0.0542874i
$115$	−3.69114	+	7.71783i	−0.344201	+	0.719691i
$116$	−3.06699	−	4.59008i	−0.284763	−	0.426178i
$117$	−35.7498	−	14.8080i	−3.30507	−	1.36900i
$118$	−1.93123	−	1.93123i	−0.177784	−	0.177784i
$119$	−2.24587	−	3.52163i	−0.205879	−	0.322828i
$120$	6.12892	+	2.93123i	0.559491	+	0.267583i
$121$	−5.16920	−	12.4795i	−0.469927	−	1.13450i
$122$	−3.72761	−	0.741467i	−0.337482	−	0.0671293i
$123$		−	9.60257i		−	0.865835i
$124$	−0.236154	+	1.18723i	−0.0212073	+	0.106616i
$125$	10.4771	+	3.90264i	0.937099	+	0.349063i
$126$	6.19104	−	1.23147i	0.551542	−	0.109709i
$127$	4.75961	+	11.4907i	0.422347	+	1.01964i	0.981653	+	0.190675i	$0.0610678\pi$
$127$	4.75961	+	11.4907i	0.422347	+	1.01964i	−0.559306	+	0.828961i	$0.688932\pi$
$128$	−0.382683	−	0.923880i	−0.0338248	−	0.0816602i
$129$	−28.1928	+	5.60790i	−2.48224	+	0.493748i
$130$	7.08727	+	11.9411i	0.621595	+	1.04730i
$131$	3.73598	−	18.7821i	0.326414	−	1.64100i	−0.374122	−	0.927379i	$-0.622056\pi$
$131$	3.73598	−	18.7821i	0.326414	−	1.64100i	0.700536	−	0.713617i	$-0.252944\pi$
$132$			15.0411i			1.30916i
$133$	0.971590	+	0.193261i	0.0842476	+	0.0167579i
$134$	−1.74034	−	4.20155i	−0.150342	−	0.362958i
$135$	7.30599	+	20.7004i	0.628800	+	1.78160i
$136$	−4.12217	−	0.0879959i	−0.353473	−	0.00754559i
$137$	−13.8129	−	13.8129i	−1.18012	−	1.18012i	−0.979713	−	0.200405i	$-0.935774\pi$
$137$	−13.8129	−	13.8129i	−1.18012	−	1.18012i	−0.200405	−	0.979713i	$-0.564226\pi$
$138$	10.7395	+	4.44843i	0.914203	+	0.378675i
$139$	−8.37239	−	12.5302i	−0.710137	−	1.06280i	−0.994567	−	0.104098i	$-0.966804\pi$
$139$	−8.37239	−	12.5302i	−0.710137	−	1.06280i	0.284430	−	0.958697i	$-0.408196\pi$
$140$	−2.04351	−	0.977334i	−0.172708	−	0.0825998i
$141$	−7.57481	−	1.50672i	−0.637914	−	0.126889i
$142$	1.13871	+	5.72466i	0.0955581	+	0.480403i
$143$	−17.0797	+	25.5616i	−1.42828	+	2.13757i
$144$	2.38456	−	5.75684i	0.198713	−	0.479736i
$145$	−9.18209	+	8.25019i	−0.762531	+	0.685141i
$146$	−2.14104	−	10.7638i	−0.177194	−	0.890815i
$147$	17.8013	−	3.54089i	1.46822	−	0.292048i
$148$	2.52231	+	3.77490i	0.207332	+	0.310295i
$149$	−0.246557	+	0.246557i	−0.0201987	+	0.0201987i	−0.717134	−	0.696935i	$-0.754546\pi$
$149$	−0.246557	+	0.246557i	−0.0201987	+	0.0201987i	0.696935	+	0.717134i	$0.254546\pi$
$150$	4.53526	−	14.4986i	0.370303	−	1.18381i
$151$	16.6098	−	6.87999i	1.35168	−	0.559886i	0.414923	−	0.909856i	$-0.363808\pi$
$151$	16.6098	−	6.87999i	1.35168	−	0.559886i	0.936761	+	0.349970i	$0.113808\pi$
$152$	0.691469	−	0.691469i	0.0560855	−	0.0560855i
$153$	−17.7749	−	18.5504i	−1.43702	−	1.49971i
$154$		−	5.01503i		−	0.404122i
$155$	2.70287	+	0.144490i	0.217100	+	0.0116057i
$156$	15.6879	−	10.4823i	1.25603	−	0.839256i
$157$	24.9265			1.98935			0.994674	−	0.103072i	$-0.0328672\pi$
$157$	24.9265			1.98935			0.994674	+	0.103072i	$0.0328672\pi$
$158$	3.24765	−	2.17001i	0.258369	−	0.172637i
$159$	1.56246	−	2.33838i	0.123911	−	0.185446i
$160$	−1.92289	+	1.14127i	−0.152018	+	0.0902255i
$161$	−3.58076	−	1.48320i	−0.282204	−	0.116893i
$162$	10.2863	−	4.26073i	0.808168	−	0.334754i
$163$	−17.5864	−	11.7509i	−1.37747	−	0.920399i	−0.377491	−	0.926013i	$-0.623213\pi$
$163$	−17.5864	−	11.7509i	−1.37747	−	0.920399i	−0.999984	+	0.00561399i	$0.998213\pi$
$164$	2.62788	+	1.75589i	0.205203	+	0.137112i
$165$	33.2899	−	4.79122i	2.59162	−	0.372996i
$166$	−1.21997	−	1.21997i	−0.0946882	−	0.0946882i
$167$	1.83771	−	9.23877i	0.142206	−	0.714918i	−0.842222	−	0.539131i	$-0.818753\pi$
$167$	1.83771	−	9.23877i	0.142206	−	0.714918i	0.984428	−	0.175787i	$-0.0562471\pi$
$168$	−1.17785	+	2.84358i	−0.0908729	+	0.219387i
$169$	25.5637			1.96644
$170$	1.11832	+	9.15147i	0.0857714	+	0.701886i
$171$	6.09335			0.465970
$172$	3.62056	−	8.74081i	0.276065	−	0.666480i
$173$	−1.23514	+	6.20946i	−0.0939058	+	0.472096i	0.905004	+	0.425404i	$0.139868\pi$
$173$	−1.23514	+	6.20946i	−0.0939058	+	0.472096i	−0.998909	+	0.0466922i	$0.985132\pi$
$174$	11.8601	+	11.8601i	0.899109	+	0.899109i
$175$	−1.51215	+	4.83415i	−0.114308	+	0.365428i
$176$	−4.11622	−	2.75037i	−0.310271	−	0.207317i
$177$	6.89959	+	4.61016i	0.518605	+	0.346521i
$178$	7.28177	−	3.01621i	0.545792	−	0.226074i
$179$	−2.91762	−	1.20852i	−0.218073	−	0.0903290i	0.270972	−	0.962587i	$-0.412655\pi$
$179$	−2.91762	−	1.20852i	−0.218073	−	0.0903290i	−0.489046	+	0.872258i	$0.662655\pi$
$180$	−13.5010	−	3.44387i	−1.00630	−	0.256691i
$181$	0.337213	−	0.504675i	0.0250649	−	0.0375122i	−0.818726	−	0.574185i	$-0.805319\pi$
$181$	0.337213	−	0.504675i	0.0250649	−	0.0375122i	0.843790	+	0.536673i	$0.180319\pi$
$182$	−5.23067	+	3.49502i	−0.387723	+	0.259068i
$183$	11.5474			0.853609
$184$	−3.18116	+	2.12558i	−0.234518	+	0.156700i
$185$	7.55139	−	6.78499i	0.555189	−	0.498842i
$186$		−	3.67780i		−	0.269669i
$187$	−17.2098	+	10.9753i	−1.25850	+	0.802591i
$188$	1.79744	−	1.79744i	0.131092	−	0.131092i
$189$	−9.18803	+	3.80581i	−0.668331	+	0.276832i
$190$	−1.75066	−	1.31014i	−0.127007	−	0.0950476i
$191$	−6.06336	+	6.06336i	−0.438729	+	0.438729i	−0.891584	−	0.452855i	$-0.850405\pi$
$191$	−6.06336	+	6.06336i	−0.438729	+	0.438729i	0.452855	+	0.891584i	$0.350405\pi$
$192$	1.68798	+	2.52624i	0.121819	+	0.182316i
$193$	14.7852	−	2.94095i	1.06426	−	0.211694i	0.368250	−	0.929727i	$-0.379957\pi$
$193$	14.7852	−	2.94095i	1.06426	−	0.211694i	0.696010	+	0.718033i	$0.254957\pi$
$194$	−0.196793	−	0.989344i	−0.0141289	−	0.0710307i
$195$	−28.1973	−	31.3823i	−2.01925	−	2.24734i
$196$	−2.28606	+	5.51905i	−0.163290	+	0.394218i
$197$	−9.95618	+	14.9005i	−0.709348	+	1.06161i	0.285314	+	0.958434i	$0.407902\pi$
$197$	−9.95618	+	14.9005i	−0.709348	+	1.06161i	−0.994663	+	0.103181i	$0.967098\pi$
$198$	−6.01805	−	30.2548i	−0.427684	−	2.15011i
$199$	−14.2637	−	2.83722i	−1.01112	−	0.201125i	−0.338387	−	0.941007i	$-0.609881\pi$
$199$	−14.2637	−	2.83722i	−1.01112	−	0.201125i	−0.672737	+	0.739882i	$0.734881\pi$
$200$	3.13846	+	3.89231i	0.221922	+	0.275228i
$201$	7.67646	+	11.4886i	0.541456	+	0.810345i
$202$	10.9414	+	4.53208i	0.769835	+	0.318876i
$203$	−3.95440	−	3.95440i	−0.277544	−	0.277544i
$204$	12.3358	−	2.18115i	0.863679	−	0.152711i
$205$	3.04917	−	6.37552i	0.212963	−	0.445286i
$206$	2.42050	+	5.84361i	0.168644	+	0.407144i
$207$	−23.3820	−	4.65097i	−1.62516	−	0.323264i
$208$			6.20997i			0.430584i
$209$	0.944442	−	4.74803i	0.0653284	−	0.328428i
$210$	6.66877	+	1.70109i	0.460189	+	0.117386i
$211$	−8.03793	+	1.59884i	−0.553354	+	0.110069i	−0.463844	−	0.885917i	$-0.653530\pi$
$211$	−8.03793	+	1.59884i	−0.553354	+	0.110069i	−0.0895102	+	0.995986i	$0.528530\pi$
$212$	0.354226	+	0.855178i	0.0243284	+	0.0587339i
$213$	−6.78647	−	16.3840i	−0.465001	−	1.12261i
$214$	4.00585	−	0.796812i	0.273834	−	0.0544690i
$215$	−20.4990	−	5.22894i	−1.39802	−	0.356611i
$216$	−1.91523	+	9.62852i	−0.130315	+	0.655138i
$217$			1.22626i			0.0832437i
$218$	−5.75182	−	1.14411i	−0.389562	−	0.0774887i
$219$	12.7602	+	30.8059i	0.862255	+	2.08167i
$220$	−4.77610	+	9.98637i	−0.322005	+	0.673281i
$221$	23.4408	+	10.3010i	1.57680	+	0.692920i
$222$	−9.75376	−	9.75376i	−0.654629	−	0.654629i
$223$	13.2971	+	5.50783i	0.890439	+	0.368832i	0.780536	−	0.625111i	$-0.214946\pi$
$223$	13.2971	+	5.50783i	0.890439	+	0.368832i	0.109902	+	0.993942i	$0.464946\pi$
$224$	−0.562808	−	0.842302i	−0.0376042	−	0.0562787i
$225$	−3.32156	+	30.9782i	−0.221437	+	2.06521i
$226$	4.11113	+	0.817755i	0.273468	+	0.0543962i
$227$	−2.03088	−	10.2099i	−0.134794	−	0.677657i	−0.987797	−	0.155749i	$-0.950221\pi$
$227$	−2.03088	−	10.2099i	−0.134794	−	0.677657i	0.853002	−	0.521907i	$-0.174779\pi$
$228$	−1.65065	+	2.47037i	−0.109317	+	0.163604i
$229$	−3.55225	+	8.57590i	−0.234740	+	0.566711i	−0.996723	−	0.0808845i	$-0.974226\pi$
$229$	−3.55225	+	8.57590i	−0.234740	+	0.566711i	0.761984	+	0.647596i	$0.224226\pi$
$230$	5.71780	+	6.36365i	0.377021	+	0.419607i
$231$	2.97260	+	14.9443i	0.195583	+	0.983262i
$232$	−5.41437	+	1.07698i	−0.355471	+	0.0707075i
$233$	−5.13272	−	7.68166i	−0.336256	−	0.503242i	0.624355	−	0.781141i	$-0.285362\pi$
$233$	−5.13272	−	7.68166i	−0.336256	−	0.503242i	−0.960610	+	0.277899i	$0.910362\pi$
$234$	−27.3617	+	27.3617i	−1.78869	+	1.78869i
$235$	−4.55077	−	3.40565i	−0.296859	−	0.222160i
$236$	−2.52327	+	1.04517i	−0.164251	+	0.0680350i
$237$	−8.39143	+	8.39143i	−0.545082	+	0.545082i
$238$	−4.11302	+	0.727242i	−0.266608	+	0.0471401i
$239$		−	14.9645i		−	0.967973i	−0.875075	−	0.483986i	$-0.839188\pi$
$239$		−	14.9645i		−	0.967973i	0.875075	−	0.483986i	$-0.160812\pi$
$240$	5.05354	−	4.54065i	0.326204	−	0.293098i
$241$	1.66177	−	1.11036i	0.107044	−	0.0715244i	−0.500896	−	0.865507i	$-0.666996\pi$
$241$	1.66177	−	1.11036i	0.107044	−	0.0715244i	0.607940	+	0.793983i	$0.291996\pi$
$242$	−13.5078			−0.868312
$243$	−3.63868	+	2.43129i	−0.233421	+	0.155967i
$244$	−2.11152	+	3.16011i	−0.135176	+	0.202306i
$245$	12.9433	+	3.30162i	0.826918	+	0.210932i
$246$	−8.87162	−	3.67474i	−0.565634	−	0.234293i
$247$	−5.61039	+	2.32390i	−0.356980	+	0.147866i
$248$	1.00648	+	0.672510i	0.0639117	+	0.0427045i
$249$	4.35852	+	2.91227i	0.276210	+	0.184558i
$250$	7.61498	−	8.18609i	0.481614	−	0.517734i
$251$	−2.77326	−	2.77326i	−0.175046	−	0.175046i	0.614146	−	0.789192i	$-0.289501\pi$
$251$	−2.77326	−	2.77326i	−0.175046	−	0.175046i	−0.789192	+	0.614146i	$0.789501\pi$
$252$	1.23147	−	6.19104i	0.0775756	−	0.389999i
$253$	−7.24820	+	17.4987i	−0.455691	+	1.10013i
$254$	12.4375			0.780396
$255$	−8.75693	−	26.6076i	−0.548380	−	1.66623i
$256$	−1.00000			−0.0625000
$257$	9.48668	−	22.9029i	0.591763	−	1.42864i	−0.290036	−	0.957016i	$-0.593667\pi$
$257$	9.48668	−	22.9029i	0.591763	−	1.42864i	0.881799	−	0.471626i	$-0.156333\pi$
$258$	−5.60790	+	28.1928i	−0.349132	+	1.75521i
$259$	3.25211	+	3.25211i	0.202076	+	0.202076i
$260$	13.7443	−	1.97813i	0.852385	−	0.122679i
$261$	−28.6015	−	19.1109i	−1.77039	−	1.18294i
$262$	−15.9227	−	10.6392i	−0.983705	−	0.657291i
$263$	27.7476	−	11.4934i	1.71099	−	0.708715i	0.711003	−	0.703189i	$-0.248241\pi$
$263$	27.7476	−	11.4934i	1.71099	−	0.708715i	0.999985	−	0.00552598i	$-0.00175898\pi$
$264$	13.8962	+	5.75598i	0.855250	+	0.354256i
$265$	1.77990	−	1.05641i	0.109338	−	0.0648945i
$266$	0.550362	−	0.823674i	0.0337448	−	0.0505027i
$267$	−19.9111	+	13.3042i	−1.21854	+	0.814203i
$268$	−4.54772			−0.277796
$269$	17.1873	−	11.4842i	1.04793	−	0.700205i	0.0925881	−	0.995704i	$-0.470486\pi$
$269$	17.1873	−	11.4842i	1.04793	−	0.700205i	0.955343	+	0.295499i	$0.0954860\pi$
$270$	21.9205	+	1.17183i	1.33404	+	0.0713152i
$271$		−	16.0746i		−	0.976461i	−0.872715	−	0.488230i	$-0.837643\pi$
$271$		−	16.0746i		−	0.976461i	0.872715	−	0.488230i	$-0.162357\pi$
$272$	−1.65878	+	3.77471i	−0.100578	+	0.228875i
$273$	13.5152	−	13.5152i	0.817980	−	0.817980i
$274$	−18.0475	+	7.47550i	−1.09029	+	0.451612i
$275$	23.6239	+	7.38969i	1.42457	+	0.445615i
$276$	8.21962	−	8.21962i	0.494763	−	0.494763i
$277$	9.17172	+	13.7265i	0.551075	+	0.824743i	0.997543	−	0.0700571i	$-0.0223182\pi$
$277$	9.17172	+	13.7265i	0.551075	+	0.824743i	−0.446468	+	0.894800i	$0.647318\pi$
$278$	−14.7803	+	2.93999i	−0.886466	+	0.176329i
$279$	1.47151	+	7.39780i	0.0880972	+	0.442895i
$280$	−1.68496	+	1.51395i	−0.100695	+	0.0904758i
$281$	−8.99934	+	21.7263i	−0.536855	+	1.29608i	0.390052	+	0.920793i	$0.372457\pi$
$281$	−8.99934	+	21.7263i	−0.536855	+	1.29608i	−0.926907	+	0.375291i	$0.877543\pi$
$282$	−4.29078	+	6.42161i	−0.255512	+	0.382401i
$283$	3.74191	+	18.8118i	0.222433	+	1.11825i	0.917021	+	0.398840i	$0.130587\pi$
$283$	3.74191	+	18.8118i	0.222433	+	1.11825i	−0.694587	+	0.719408i	$0.744413\pi$
$284$	5.72466	+	1.13871i	0.339696	+	0.0675698i
$285$	5.99338	+	2.86640i	0.355017	+	0.169791i
$286$	17.0797	+	25.5616i	1.00994	+	1.51149i
$287$	2.95799	+	1.22524i	0.174604	+	0.0723235i
$288$	−4.40609	−	4.40609i	−0.259631	−	0.259631i
$289$	11.4969	+	12.5228i	0.676287	+	0.736638i
$290$	4.10835	+	11.6404i	0.241251	+	0.683545i
$291$	1.17285	+	2.83150i	0.0687534	+	0.165985i
$292$	−10.7638	−	2.14104i	−0.629901	−	0.125295i
$293$			2.73794i			0.159952i	0.996797	+	0.0799761i	$0.0254844\pi$
$293$			2.73794i			0.159952i	−0.996797	+	0.0799761i	$0.974516\pi$
$294$	3.54089	−	17.8013i	0.206509	−	1.03819i
$295$	3.11701	+	5.25173i	0.181479	+	0.305768i
$296$	4.45280	−	0.885717i	0.258814	−	0.0514812i
$297$	18.5985	+	44.9007i	1.07919	+	2.60540i
$298$	0.133436	+	0.322142i	0.00772972	+	0.0186612i
$299$	23.3025	−	4.63515i	1.34762	−	0.268058i
$300$	−11.6594	−	9.73842i	−0.673157	−	0.562248i
$301$	1.86979	−	9.40008i	0.107773	−	0.541812i
$302$		−	17.9783i		−	1.03453i
$303$	−35.2907	−	7.01975i	−2.02740	−	0.403274i
$304$	−0.374220	−	0.903448i	−0.0214630	−	0.0518163i
$305$	7.66677	+	3.66672i	0.438998	+	0.209956i
$306$	−23.9405	+	9.32297i	−1.36859	+	0.532959i
$307$	12.8403	+	12.8403i	0.732832	+	0.732832i	0.971180	−	0.238348i	$-0.0766058\pi$
$307$	12.8403	+	12.8403i	0.732832	+	0.732832i	−0.238348	+	0.971180i	$0.576606\pi$
$308$	−4.63328	−	1.91917i	−0.264006	−	0.109355i
$309$	−10.6766	−	15.9787i	−0.607370	−	0.908994i
$310$	1.16784	−	2.44183i	0.0663286	−	0.138687i
$311$	22.2989	+	4.43553i	1.26446	+	0.251516i	0.781376	−	0.624061i	$-0.214518\pi$
$311$	22.2989	+	4.43553i	1.26446	+	0.251516i	0.483079	+	0.875577i	$0.339518\pi$
$312$	−3.68089	−	18.5051i	−0.208390	−	1.04765i
$313$	2.59026	−	3.87659i	0.146410	−	0.219118i	−0.751015	−	0.660285i	$-0.770435\pi$
$313$	2.59026	−	3.87659i	0.146410	−	0.219118i	0.897425	+	0.441167i	$0.145435\pi$
$314$	9.53894	−	23.0290i	0.538314	−	1.29960i
$315$	−14.0947	−	0.753474i	−0.794145	−	0.0424534i
$316$	−0.762006	−	3.83086i	−0.0428662	−	0.215503i
$317$	−12.4984	+	2.48609i	−0.701981	+	0.139633i	−0.533161	−	0.846014i	$-0.678996\pi$
$317$	−12.4984	+	2.48609i	−0.701981	+	0.139633i	−0.168821	+	0.985647i	$0.553996\pi$
$318$	−1.56246	−	2.33838i	−0.0876182	−	0.131130i
$319$	−19.3246	+	19.3246i	−1.08197	+	1.08197i
$320$	0.318541	+	2.21326i	0.0178070	+	0.123725i
$321$	−11.4647	+	4.74884i	−0.639898	+	0.265055i
$322$	−2.74060	+	2.74060i	−0.152728	+	0.152728i
$323$	−4.03100	−	0.0860499i	−0.224291	−	0.00478794i
$324$		−	11.1338i		−	0.618545i
$325$	−8.75626	−	29.7896i	−0.485710	−	1.65243i
$326$	−17.5864	+	11.7509i	−0.974022	+	0.650821i
$327$	17.8180			0.985338
$328$	2.62788	−	1.75589i	0.145101	−	0.0969531i
$329$	1.43064	−	2.14110i	0.0788737	−	0.118043i
$330$	8.31299	−	32.5894i	0.457615	−	1.79399i
$331$	−13.4777	−	5.58264i	−0.740801	−	0.306850i	−0.0198187	−	0.999804i	$-0.506309\pi$
$331$	−13.4777	−	5.58264i	−0.740801	−	0.306850i	−0.720982	+	0.692954i	$0.756309\pi$
$332$	−1.59397	+	0.660244i	−0.0874805	+	0.0362356i
$333$	23.5220	+	15.7169i	1.28900	+	0.861280i
$334$	−7.83225	−	5.23334i	−0.428562	−	0.286356i
$335$	1.44864	+	10.0653i	0.0791475	+	0.549926i
$336$	2.17638	+	2.17638i	0.118731	+	0.118731i
$337$	4.72978	−	23.7782i	0.257647	−	1.29528i	−0.607723	−	0.794149i	$-0.707917\pi$
$337$	4.72978	−	23.7782i	0.257647	−	1.29528i	0.865371	−	0.501132i	$-0.167083\pi$
$338$	9.78282	−	23.6178i	0.532115	−	1.28464i
$339$	−12.7355			−0.691696
$340$	8.88282	+	2.46892i	0.481738	+	0.133896i
$341$	5.99255			0.324515
$342$	2.33182	−	5.62952i	0.126091	−	0.304410i
$343$	−2.56403	+	12.8903i	−0.138445	+	0.696009i
$344$	−6.68992	−	6.68992i	−0.360697	−	0.360697i
$345$	−20.8105	−	15.5739i	−1.12040	−	0.838470i
$346$	5.26412	+	3.51737i	0.283001	+	0.189095i
$347$	0.142371	+	0.0951294i	0.00764289	+	0.00510682i	0.559386	−	0.828907i	$-0.311037\pi$
$347$	0.142371	+	0.0951294i	0.00764289	+	0.00510682i	−0.551743	+	0.834014i	$0.686037\pi$
$348$	15.4959	−	6.41862i	0.830668	−	0.344074i
$349$	−23.8213	−	9.86709i	−1.27512	−	0.528173i	−0.360605	−	0.932719i	$-0.617430\pi$
$349$	−23.8213	−	9.86709i	−1.27512	−	0.528173i	−0.914518	+	0.404546i	$0.867430\pi$
$350$	3.88750	+	3.24700i	0.207796	+	0.173559i
$351$	33.8699	−	50.6899i	1.80784	−	2.70563i
$352$	−4.11622	+	2.75037i	−0.219395	+	0.146595i
$353$	−29.9933			−1.59638			−0.798192	−	0.602403i	$-0.794210\pi$
$353$	−29.9933			−1.59638			−0.798192	+	0.602403i	$0.794210\pi$
$354$	6.89959	−	4.61016i	0.366709	−	0.245027i
$355$	0.696714	−	13.0329i	0.0369777	−	0.691715i
$356$		−	7.88173i		−	0.417731i
$357$	11.8253	−	4.60506i	0.625863	−	0.243726i
$358$	−2.23305	+	2.23305i	−0.118021	+	0.118021i
$359$	−17.2533	+	7.14654i	−0.910593	+	0.377180i	−0.788284	−	0.615312i	$-0.789030\pi$
$359$	−17.2533	+	7.14654i	−0.910593	+	0.377180i	−0.122310	+	0.992492i	$0.539030\pi$
$360$	−8.34831	+	11.1554i	−0.439995	+	0.587939i
$361$	−12.7589	+	12.7589i	−0.671519	+	0.671519i
$362$	−0.337213	−	0.504675i	−0.0177235	−	0.0265251i
$363$	40.2518	−	8.00658i	2.11267	−	0.420236i
$364$	1.22729	+	6.17000i	0.0643274	+	0.323396i
$365$	−1.30999	+	24.5050i	−0.0685681	+	1.28265i
$366$	4.41900	−	10.6684i	0.230985	−	0.557647i
$367$	0.0956104	−	0.143091i	0.00499082	−	0.00746930i	−0.828966	−	0.559299i	$-0.811070\pi$
$367$	0.0956104	−	0.143091i	0.00499082	−	0.00746930i	0.833957	+	0.551830i	$0.186070\pi$
$368$	0.746405	+	3.75243i	0.0389091	+	0.195609i
$369$	19.3153	+	3.84206i	1.00552	+	0.200009i
$370$	−3.37872	−	9.57307i	−0.175652	−	0.497680i
$371$	0.520956	+	0.779666i	0.0270467	+	0.0404783i
$372$	−3.39784	−	1.40743i	−0.176170	−	0.0729720i
$373$	−7.89813	−	7.89813i	−0.408950	−	0.408950i	0.472423	−	0.881372i	$-0.343380\pi$
$373$	−7.89813	−	7.89813i	−0.408950	−	0.408950i	−0.881372	+	0.472423i	$0.843380\pi$
$374$	3.55394	+	20.0998i	0.183770	+	1.03934i
$375$	−17.8397	+	28.9074i	−0.921237	+	1.49277i
$376$	−0.972768	−	2.34847i	−0.0501667	−	0.121113i
$377$	33.6231	+	6.68805i	1.73168	+	0.344452i
$378$			9.94505i			0.511518i
$379$	−1.13596	+	5.71083i	−0.0583501	+	0.293346i	−0.998931	−	0.0462235i	$-0.985281\pi$
$379$	−1.13596	+	5.71083i	−0.0583501	+	0.293346i	0.940581	+	0.339569i	$0.110281\pi$
$380$	−1.88036	+	1.11603i	−0.0964606	+	0.0572513i
$381$	−37.0624	+	7.37218i	−1.89877	+	0.377688i
$382$	3.28146	+	7.92216i	0.167894	+	0.405333i
$383$	−3.82337	−	9.23042i	−0.195365	−	0.471652i	0.795592	−	0.605833i	$-0.207160\pi$
$383$	−3.82337	−	9.23042i	−0.195365	−	0.471652i	−0.990957	+	0.134180i	$0.957160\pi$
$384$	2.97990	−	0.592739i	0.152067	−	0.0302481i
$385$	−2.77173	+	10.8660i	−0.141260	+	0.553783i
$386$	2.94095	−	14.7852i	0.149691	−	0.752545i
$387$		−	58.9528i		−	2.99674i
$388$	−0.989344	−	0.196793i	−0.0502263	−	0.00999063i
$389$	−6.33580	−	15.2960i	−0.321238	−	0.775537i	−0.999183	−	0.0404240i	$-0.987129\pi$
$389$	−6.33580	−	15.2960i	−0.321238	−	0.775537i	0.677945	−	0.735113i	$-0.262871\pi$
$390$	−39.7841	+	14.0414i	−2.01455	+	0.711015i
$391$	15.4025	+	3.40701i	0.778936	+	0.172300i
$392$	4.22410	+	4.22410i	0.213349	+	0.213349i
$393$	53.7542	+	22.2657i	2.71154	+	1.12316i
$394$	9.95618	+	14.9005i	0.501585	+	0.750675i
$395$	−8.23598	+	2.90681i	−0.414397	+	0.146257i
$396$	−30.2548	−	6.01805i	−1.52036	−	0.302419i
$397$	5.79479	+	29.1324i	0.290832	+	1.46211i	0.799249	+	0.601000i	$0.205231\pi$
$397$	5.79479	+	29.1324i	0.290832	+	1.46211i	−0.508417	+	0.861111i	$0.669769\pi$
$398$	−8.07971	+	12.0921i	−0.404999	+	0.606125i
$399$	−1.15180	+	2.78069i	−0.0576621	+	0.139209i
$400$	4.79706	−	1.41003i	0.239853	−	0.0705016i
$401$	5.93854	+	29.8550i	0.296556	+	1.49089i	0.785657	+	0.618662i	$0.212325\pi$
$401$	5.93854	+	29.8550i	0.296556	+	1.49089i	−0.489100	+	0.872227i	$0.662675\pi$
$402$	13.5518	−	2.69561i	0.675901	−	0.134445i
$403$	−4.17627	−	6.25023i	−0.208035	−	0.311346i
$404$	8.37419	−	8.37419i	0.416632	−	0.416632i
$405$	−24.6421	+	3.54658i	−1.22447	+	0.176231i
$406$	−5.16667	+	2.14010i	−0.256417	+	0.106212i
$407$	15.8926	−	15.8926i	0.787769	−	0.787769i
$408$	2.70559	−	12.2315i	0.133947	−	0.605549i
$409$		−	10.0056i		−	0.494743i	−0.968921	−	0.247372i	$-0.920433\pi$
$409$		−	10.0056i		−	0.494743i	0.968921	−	0.247372i	$-0.0795669\pi$
$410$	−4.72335	−	5.25687i	−0.233269	−	0.259618i
$411$	49.3486	−	32.9737i	2.43419	−	1.62647i
$412$	6.32508			0.311614
$413$	−2.30047	+	1.53713i	−0.113199	+	0.0756370i
$414$	−13.2448	+	19.8223i	−0.650948	+	0.974212i
$415$	1.96904	+	3.31756i	0.0966563	+	0.162853i
$416$	5.73727	+	2.37645i	0.281293	+	0.116515i
$417$	42.3013	−	17.5218i	2.07150	−	0.858045i
$418$	−4.02519	−	2.68954i	−0.196878	−	0.131550i
$419$	−0.164878	−	0.110168i	−0.00805481	−	0.00538205i	0.551536	−	0.834151i	$-0.314042\pi$
$419$	−0.164878	−	0.110168i	−0.00805481	−	0.00538205i	−0.559591	+	0.828769i	$0.689042\pi$
$420$	4.12363	−	5.51016i	0.201213	−	0.268868i
$421$	12.0042	+	12.0042i	0.585049	+	0.585049i	0.936286	−	0.351238i	$-0.114239\pi$
$421$	12.0042	+	12.0042i	0.585049	+	0.585049i	−0.351238	+	0.936286i	$0.614239\pi$
$422$	−1.59884	+	8.03793i	−0.0778305	+	0.391281i
$423$	6.06147	−	14.6337i	0.294719	−	0.711514i
$424$	0.925638			0.0449529
$425$	2.63482	−	20.4465i	0.127808	−	0.991799i
$426$	−17.7339			−0.859210
$427$	−1.47339	+	3.55708i	−0.0713023	+	0.172139i
$428$	0.796812	−	4.00585i	0.0385154	−	0.193630i
$429$	−66.0472	−	66.0472i	−3.18879	−	3.18879i
$430$	−12.6755	+	16.9376i	−0.611269	+	0.816803i
$431$	−27.8276	−	18.5938i	−1.34041	−	0.895632i	−0.341390	−	0.939922i	$-0.610898\pi$
$431$	−27.8276	−	18.5938i	−1.34041	−	0.895632i	−0.999019	+	0.0442893i	$0.985898\pi$
$432$	8.16266	+	5.45412i	0.392726	+	0.262411i
$433$	−29.8915	+	12.3814i	−1.43649	+	0.595014i	−0.958945	−	0.283592i	$-0.908474\pi$
$433$	−29.8915	+	12.3814i	−1.43649	+	0.595014i	−0.477547	+	0.878606i	$0.658474\pi$
$434$	1.13291	+	0.469268i	0.0543816	+	0.0225256i
$435$	−19.1422	−	32.2519i	−0.917797	−	1.54636i
$436$	−3.25814	+	4.87615i	−0.156037	+	0.233525i
$437$	−3.11081	+	2.07857i	−0.148810	+	0.0994317i
$438$	33.3440			1.59324
$439$	0.566049	−	0.378222i	0.0270160	−	0.0180515i	−0.541989	−	0.840386i	$-0.682329\pi$
$439$	0.566049	−	0.378222i	0.0270160	−	0.0180515i	0.569005	+	0.822334i	$0.307329\pi$
$440$	7.39847	+	8.23416i	0.352708	+	0.392548i
$441$			37.2235i			1.77255i
$442$	18.4873	−	17.7145i	0.879351	−	0.842593i
$443$	−22.2035	+	22.2035i	−1.05492	+	1.05492i	−0.0565194	+	0.998402i	$0.518000\pi$
$443$	−22.2035	+	22.2035i	−1.05492	+	1.05492i	−0.998402	+	0.0565194i	$0.982000\pi$
$444$	−12.7439	+	5.27870i	−0.604799	+	0.250516i
$445$	−17.4443	+	2.51066i	−0.826941	+	0.119017i
$446$	10.1771	−	10.1771i	0.481902	−	0.481902i
$447$	−0.588572	−	0.880860i	−0.0278385	−	0.0416632i
$448$	−0.993563	+	0.197632i	−0.0469414	+	0.00933723i
$449$	2.84874	+	14.3216i	0.134441	+	0.675878i	0.987947	+	0.154795i	$0.0494718\pi$
$449$	2.84874	+	14.3216i	0.134441	+	0.675878i	−0.853506	+	0.521083i	$0.825528\pi$
$450$	27.3490	+	14.9236i	1.28925	+	0.703504i
$451$	5.98757	−	14.4553i	0.281944	−	0.680673i
$452$	2.32877	−	3.48525i	0.109536	−	0.163932i
$453$	10.6564	+	53.5735i	0.500683	+	2.51710i
$454$	−10.2099	−	2.03088i	−0.479176	−	0.0953139i
$455$	13.2649	−	4.68171i	0.621867	−	0.219482i
$456$	1.65065	+	2.47037i	0.0772987	+	0.115686i
$457$	−2.38680	−	0.988646i	−0.111650	−	0.0462469i	0.326159	−	0.945315i	$-0.394245\pi$
$457$	−2.38680	−	0.988646i	−0.111650	−	0.0462469i	−0.437809	+	0.899068i	$0.644245\pi$
$458$	6.56371	+	6.56371i	0.306702	+	0.306702i
$459$	34.1278	−	21.7645i	1.59295	−	1.01588i
$460$	8.06736	−	2.84730i	0.376142	−	0.132756i
$461$	−6.40531	−	15.4638i	−0.298325	−	0.720220i	−0.999970	−	0.00769379i	$-0.997551\pi$
$461$	−6.40531	−	15.4638i	−0.298325	−	0.720220i	0.701646	−	0.712526i	$-0.252449\pi$
$462$	14.9443	+	2.97260i	0.695271	+	0.138298i
$463$		−	8.00147i		−	0.371860i	−0.982563	−	0.185930i	$-0.940470\pi$
$463$		−	8.00147i		−	0.371860i	0.982563	−	0.185930i	$-0.0595298\pi$
$464$	−1.07698	+	5.41437i	−0.0499978	+	0.251356i
$465$	−2.03266	+	7.96865i	−0.0942626	+	0.369537i
$466$	−9.06114	+	1.80237i	−0.419749	+	0.0834933i
$467$	−10.7670	−	25.9938i	−0.498236	−	1.20285i	−0.950433	−	0.310930i	$-0.899359\pi$
$467$	−10.7670	−	25.9938i	−0.498236	−	1.20285i	0.452196	−	0.891918i	$-0.350641\pi$
$468$	14.8080	+	35.7498i	0.684502	+	1.65253i
$469$	−4.51845	+	0.898775i	−0.208643	+	0.0415016i
$470$	−4.88791	+	2.90108i	−0.225463	+	0.133817i
$471$	−14.7749	+	74.2784i	−0.680791	+	3.42257i
$472$			2.73117i			0.125712i
$473$	−45.9369	−	9.13742i	−2.11218	−	0.420139i
$474$	4.54141	+	10.9639i	0.208594	+	0.503590i
$475$	3.06905	+	3.80623i	0.140818	+	0.174642i
$476$	−0.902101	+	4.07824i	−0.0413477	+	0.186926i
$477$	4.07844	+	4.07844i	0.186739	+	0.186739i
$478$	−13.8254	−	5.72667i	−0.632359	−	0.261932i
$479$	−16.7603	−	25.0835i	−0.765796	−	1.14609i	−0.985358	−	0.170496i	$-0.945463\pi$
$479$	−16.7603	−	25.0835i	−0.765796	−	1.14609i	0.219562	−	0.975598i	$-0.429537\pi$
$480$	−2.26111	−	6.40649i	−0.103205	−	0.292415i
$481$	−27.6517	−	5.50027i	−1.26081	−	0.250791i
$482$	−0.389906	−	1.96019i	−0.0177597	−	0.0892842i
$483$	6.54225	−	9.79117i	0.297683	−	0.445514i
$484$	−5.16920	+	12.4795i	−0.234963	+	0.567252i
$485$	−0.120407	+	2.25236i	−0.00546740	+	0.102275i
$486$	0.853754	+	4.29211i	0.0387271	+	0.194694i
$487$	−7.24470	+	1.44106i	−0.328289	+	0.0653006i	−0.356483	−	0.934302i	$-0.616024\pi$
$487$	−7.24470	+	1.44106i	−0.328289	+	0.0653006i	0.0281945	+	0.999602i	$0.491024\pi$
$488$	2.11152	+	3.16011i	0.0955841	+	0.143052i
$489$	45.4406	−	45.4406i	2.05490	−	2.05490i
$490$	8.00348	−	10.6946i	0.361561	−	0.483132i
$491$	27.6512	−	11.4535i	1.24788	−	0.516890i	0.341713	−	0.939804i	$-0.388993\pi$
$491$	27.6512	−	11.4535i	1.24788	−	0.516890i	0.906170	+	0.422914i	$0.138993\pi$
$492$	−6.79004	+	6.79004i	−0.306119	+	0.306119i
$493$	18.6512	+	13.0466i	0.840007	+	0.587588i
$494$			6.07264i			0.273221i
$495$	−3.68213	+	68.8788i	−0.165499	+	3.09587i
$496$	1.00648	−	0.672510i	0.0451924	−	0.0301966i
$497$	5.91286			0.265228
$498$	4.35852	−	2.91227i	0.195310	−	0.130502i
$499$	6.95080	−	10.4026i	0.311161	−	0.465685i	−0.642622	−	0.766184i	$-0.722153\pi$
$499$	6.95080	−	10.4026i	0.311161	−	0.465685i	0.953782	+	0.300499i	$0.0971532\pi$
$500$	−4.64883	−	10.1680i	−0.207902	−	0.454727i
$501$	26.4414	+	10.9524i	1.18131	+	0.489316i
$502$	−3.62344	+	1.50088i	−0.161722	+	0.0669874i
$503$	10.7832	+	7.20507i	0.480797	+	0.321258i	0.772241	−	0.635330i	$-0.219136\pi$
$503$	10.7832	+	7.20507i	0.480797	+	0.321258i	−0.291444	+	0.956588i	$0.594136\pi$
$504$	−5.24851	−	3.50694i	−0.233787	−	0.156212i
$505$	−21.2018	−	15.8668i	−0.943469	−	0.706062i
$506$	13.3929	+	13.3929i	0.595389	+	0.595389i
$507$	−15.1526	+	76.1774i	−0.672952	+	3.38316i
$508$	4.75961	−	11.4907i	0.211174	−	0.509818i
$509$	−14.2157			−0.630100			−0.315050	−	0.949075i	$-0.602021\pi$
$509$	−14.2157			−0.630100			−0.315050	+	0.949075i	$0.602021\pi$
$510$	−27.9333	−	2.09194i	−1.23691	−	0.0926328i
$511$	−11.1176			−0.491814
$512$	−0.382683	+	0.923880i	−0.0169124	+	0.0408301i
$513$	−1.87288	+	9.41558i	−0.0826895	+	0.415708i
$514$	−17.5291	−	17.5291i	−0.773175	−	0.773175i
$515$	−2.01480	−	13.9991i	−0.0887827	−	0.616872i
$516$	23.9007	+	15.9699i	1.05217	+	0.703037i
$517$	−10.4633	−	6.99134i	−0.460174	−	0.307479i
$518$	4.24909	−	1.76003i	0.186694	−	0.0773313i
$519$	−17.7715	−	7.36118i	−0.780080	−	0.323120i
$520$	3.43216	−	13.4551i	0.150510	−	0.590044i
$521$	−8.03218	+	12.0210i	−0.351896	+	0.526650i	−0.964619	−	0.263648i	$-0.915074\pi$
$521$	−8.03218	+	12.0210i	−0.351896	+	0.526650i	0.612723	+	0.790298i	$0.290074\pi$
$522$	−28.6015	+	19.1109i	−1.25185	+	0.836462i
$523$	40.1421			1.75529			0.877646	−	0.479310i	$-0.159113\pi$
$523$	40.1421			1.75529			0.877646	+	0.479310i	$0.159113\pi$
$524$	−15.9227	+	10.6392i	−0.695585	+	0.464775i
$525$	−13.5090	−	7.37146i	−0.589580	−	0.321717i
$526$		−	30.0337i		−	1.30953i
$527$	−0.868996	−	4.91473i	−0.0378541	−	0.214089i
$528$	10.6357	−	10.6357i	0.462858	−	0.462858i
$529$	−7.72560	+	3.20005i	−0.335896	+	0.139133i
$530$	−0.294854	−	2.04868i	−0.0128076	−	0.0889889i
$531$	−12.0338	+	12.0338i	−0.522222	+	0.522222i
$532$	−0.550362	−	0.823674i	−0.0238612	−	0.0357108i
$533$	−19.2497	+	3.82900i	−0.833795	+	0.165852i
$534$	4.67181	+	23.4868i	0.202169	+	1.01637i
$535$	−9.11981	−	0.487527i	−0.394284	−	0.0210776i
$536$	−1.74034	+	4.20155i	−0.0751711	+	0.181479i
$537$	5.33066	−	7.97790i	0.230035	−	0.344272i
$538$	−4.03272	−	20.2739i	−0.173863	−	0.874068i
$539$	29.0051	+	5.76948i	1.24934	+	0.248509i
$540$	9.47125	−	19.8035i	0.407578	−	0.852206i
$541$	22.9195	+	34.3014i	0.985386	+	1.47473i	0.876921	+	0.480634i	$0.159593\pi$
$541$	22.9195	+	34.3014i	0.985386	+	1.47473i	0.108465	+	0.994100i	$0.465407\pi$
$542$	−14.8510	−	6.15147i	−0.637904	−	0.264228i
$543$	1.30400	+	1.30400i	0.0559601	+	0.0559601i
$544$	2.85259	+	2.97703i	0.122304	+	0.127639i
$545$	11.8301	+	5.65787i	0.506744	+	0.242356i
$546$	−7.31440	−	17.6585i	−0.313027	−	0.755715i
$547$	−25.3150	−	5.03547i	−1.08239	−	0.215301i	−0.378495	−	0.925603i	$-0.623558\pi$
$547$	−25.3150	−	5.03547i	−1.08239	−	0.215301i	−0.703897	+	0.710302i	$0.748558\pi$
$548$			19.5344i			0.834470i
$549$	−4.62020	+	23.2273i	−0.197185	+	0.991317i
$550$	15.8676	−	18.9977i	0.676599	−	0.810064i
$551$	−5.29463	+	1.05317i	−0.225559	+	0.0448664i
$552$	−4.44843	−	10.7395i	−0.189338	−	0.457102i
$553$	−1.51420	−	3.65561i	−0.0643904	−	0.155452i
$554$	16.1915	−	3.22068i	0.687909	−	0.136834i
$555$	15.7426	+	26.5241i	0.668236	+	1.12589i
$556$	−2.93999	+	14.7803i	−0.124683	+	0.626826i
$557$		−	8.02049i		−	0.339839i	−0.985458	−	0.169920i	$-0.945649\pi$
$557$		−	8.02049i		−	0.339839i	0.985458	−	0.169920i	$-0.0543508\pi$
$558$	7.39780	+	1.47151i	0.313174	+	0.0622941i
$559$	22.4836	+	54.2802i	0.950954	+	2.29581i
$560$	0.753902	+	2.13606i	0.0318582	+	0.0902651i
$561$	−22.5043	−	57.7888i	−0.950133	−	2.43985i
$562$	16.6286	+	16.6286i	0.701435	+	0.701435i
$563$	−31.0586	−	12.8649i	−1.30896	−	0.542191i	−0.384382	−	0.923174i	$-0.625586\pi$
$563$	−31.0586	−	12.8649i	−1.30896	−	0.542191i	−0.924582	+	0.380983i	$0.875586\pi$
$564$	4.29078	+	6.42161i	0.180675	+	0.270399i
$565$	−8.45558	−	4.04398i	−0.355729	−	0.170132i
$566$	18.8118	+	3.74191i	0.790721	+	0.157284i
$567$	−2.20040	−	11.0621i	−0.0924080	−	0.464566i
$568$	3.24276	−	4.85314i	0.136063	−	0.203633i
$569$	−10.8042	+	26.0837i	−0.452936	+	1.09348i	0.518264	+	0.855220i	$0.326578\pi$
$569$	−10.8042	+	26.0837i	−0.452936	+	1.09348i	−0.971200	+	0.238264i	$0.923422\pi$
$570$	4.94178	−	4.44024i	0.206988	−	0.185981i
$571$	2.07022	+	10.4077i	0.0866361	+	0.435549i	0.999620	+	0.0275542i	$0.00877187\pi$
$571$	2.07022	+	10.4077i	0.0866361	+	0.435549i	−0.912984	+	0.407995i	$0.866228\pi$
$572$	30.1519	−	5.99759i	1.26072	−	0.250772i
$573$	−14.4742	−	21.6622i	−0.604669	−	0.904951i
$574$	2.26395	−	2.26395i	0.0944952	−	0.0944952i
$575$	−8.87160	−	16.9482i	−0.369971	−	0.706789i
$576$	−5.75684	+	2.38456i	−0.239868	+	0.0993566i
$577$	10.8934	−	10.8934i	0.453496	−	0.453496i	−0.443017	−	0.896513i	$-0.646092\pi$
$577$	10.8934	−	10.8934i	0.453496	−	0.453496i	0.896513	+	0.443017i	$0.146092\pi$
$578$	15.9693	−	5.82945i	0.664234	−	0.242473i
$579$			45.8016i			1.90345i
$580$	12.3265	+	0.658950i	0.511829	+	0.0273614i
$581$	−1.45322	+	0.971014i	−0.0602899	+	0.0402844i
$582$	3.06479			0.127040
$583$	3.81013	−	2.54584i	0.157799	−	0.105438i
$584$	−6.09718	+	9.12507i	−0.252303	+	0.377598i
$585$	74.4067	−	44.1619i	3.07634	−	1.82587i
$586$	2.52953	+	1.04777i	0.104494	+	0.0432828i
$587$	−33.5091	+	13.8799i	−1.38307	+	0.572886i	−0.945300	−	0.326202i	$-0.894231\pi$
$587$	−33.5091	+	13.8799i	−1.38307	+	0.572886i	−0.437768	+	0.899088i	$0.644231\pi$
$588$	−15.0912	−	10.0836i	−0.622350	−	0.415841i
$589$	0.984225	+	0.657638i	0.0405543	+	0.0270975i
$590$	6.04480	−	0.869991i	0.248860	−	0.0358170i
$591$	−38.5005	−	38.5005i	−1.58370	−	1.58370i
$592$	0.885717	−	4.45280i	0.0364027	−	0.183009i
$593$	9.21454	−	22.2459i	0.378396	−	0.913528i	−0.613871	−	0.789406i	$-0.710389\pi$
$593$	9.21454	−	22.2459i	0.378396	−	0.913528i	0.992267	−	0.124122i	$-0.0396114\pi$
$594$	48.6001			1.99409
$595$	9.31357	+	0.697498i	0.381819	+	0.0285946i
$596$	0.348684			0.0142827
$597$	16.9093	−	40.8226i	0.692050	−	1.67076i
$598$	4.63515	−	23.3025i	0.189546	−	0.952910i
$599$	−5.45002	−	5.45002i	−0.222682	−	0.222682i	0.586945	−	0.809627i	$-0.300330\pi$
$599$	−5.45002	−	5.45002i	−0.222682	−	0.222682i	−0.809627	+	0.586945i	$0.800330\pi$
$600$	−13.4590	+	7.04516i	−0.549461	+	0.287618i
$601$	7.04698	+	4.70864i	0.287452	+	0.192069i	0.690933	−	0.722919i	$-0.257200\pi$
$601$	7.04698	+	4.70864i	0.287452	+	0.192069i	−0.403481	+	0.914988i	$0.632200\pi$
$602$	−7.96900	−	5.32472i	−0.324792	−	0.217019i
$603$	−26.1805	+	10.8443i	−1.06615	+	0.441615i
$604$	−16.6098	−	6.87999i	−0.675842	−	0.279943i
$605$	29.2671	+	7.46554i	1.18988	+	0.303517i
$606$	−19.9906	+	29.9180i	−0.812061	+	1.21534i
$607$	−2.03484	+	1.35964i	−0.0825916	+	0.0551859i	−0.596180	−	0.802851i	$-0.703316\pi$
$607$	−2.03484	+	1.35964i	−0.0825916	+	0.0551859i	0.513589	+	0.858036i	$0.328316\pi$
$608$	−0.977885			−0.0396585
$609$	14.1276	−	9.43979i	0.572481	−	0.382520i
$610$	6.32156	−	5.67998i	0.255952	−	0.229976i
$611$			15.7855i			0.638614i
$612$	−0.548316	+	25.6859i	−0.0221644	+	1.03829i
$613$	−1.56733	+	1.56733i	−0.0633039	+	0.0633039i	−0.738050	−	0.674746i	$-0.764253\pi$
$613$	−1.56733	+	1.56733i	−0.0633039	+	0.0633039i	0.674746	+	0.738050i	$0.264253\pi$
$614$	16.7766	−	6.94910i	0.677049	−	0.280443i
$615$	17.1911	+	12.8652i	0.693210	+	0.518776i
$616$	−3.54616	+	3.54616i	−0.142879	+	0.142879i
$617$	5.03964	+	7.54235i	0.202888	+	0.303644i	0.918935	−	0.394408i	$-0.129050\pi$
$617$	5.03964	+	7.54235i	0.202888	+	0.303644i	−0.716047	+	0.698052i	$0.754050\pi$
$618$	−18.8481	+	3.74912i	−0.758182	+	0.150812i
$619$	−4.68309	−	23.5435i	−0.188229	−	0.946292i	−0.953226	−	0.302258i	$-0.902259\pi$
$619$	−4.68309	−	23.5435i	−0.188229	−	0.946292i	0.764997	−	0.644034i	$-0.222741\pi$
$620$	−1.80905	−	2.01339i	−0.0726532	−	0.0808596i
$621$	14.3736	−	34.7008i	0.576791	−	1.39250i
$622$	12.6313	−	18.9041i	0.506470	−	0.757986i
$623$	−1.55768	−	7.83099i	−0.0624072	−	0.313742i
$624$	−18.5051	−	3.68089i	−0.740797	−	0.147354i
$625$	−21.0236	+	13.5280i	−0.840945	+	0.541121i
$626$	−2.59026	−	3.87659i	−0.103528	−	0.154940i
$627$	13.5889	+	5.62869i	0.542687	+	0.224788i
$628$	−17.6257	−	17.6257i	−0.703341	−	0.703341i
$629$	−15.3388	−	10.7295i	−0.611599	−	0.427815i
$630$	−6.08992	+	12.7334i	−0.242628	+	0.507313i
$631$	9.81318	+	23.6911i	0.390657	+	0.943129i	0.989797	+	0.142485i	$0.0455092\pi$
$631$	9.81318	+	23.6911i	0.390657	+	0.943129i	−0.599140	+	0.800644i	$0.704491\pi$
$632$	−3.83086	−	0.762006i	−0.152384	−	0.0303110i
$633$		−	24.9000i		−	0.989684i
$634$	−2.48609	+	12.4984i	−0.0987353	+	0.496376i
$635$	−26.9481	−	6.87400i	−1.06940	−	0.272786i
$636$	−2.75831	+	0.548662i	−0.109374	+	0.0217559i
$637$	−14.1964	−	34.2731i	−0.562482	−	1.35795i
$638$	10.4584	+	25.2488i	0.414052	+	0.999610i
$639$	35.6713	−	7.09546i	1.41113	−	0.280692i
$640$	2.16669	+	0.552685i	0.0856459	+	0.0218468i
$641$	0.270109	−	1.35793i	0.0106687	−	0.0536350i	−0.975084	−	0.221835i	$-0.928795\pi$
$641$	0.270109	−	1.35793i	0.0106687	−	0.0536350i	0.985753	+	0.168200i	$0.0537954\pi$
$642$			12.4093i			0.489757i
$643$	39.4046	+	7.83805i	1.55396	+	0.309103i	0.896037	−	0.443979i	$-0.146434\pi$
$643$	39.4046	+	7.83805i	1.55396	+	0.309103i	0.657927	+	0.753082i	$0.271434\pi$
$644$	1.48320	+	3.58076i	0.0584463	+	0.141102i
$645$	27.7323	−	57.9856i	1.09196	−	2.28318i
$646$	−1.62210	+	3.69123i	−0.0638206	+	0.145230i
$647$	−8.64569	−	8.64569i	−0.339897	−	0.339897i	0.516431	−	0.856329i	$-0.327260\pi$
$647$	−8.64569	−	8.64569i	−0.339897	−	0.339897i	−0.856329	+	0.516431i	$0.827260\pi$
$648$	−10.2863	−	4.26073i	−0.404084	−	0.167377i
$649$	7.51172	+	11.2421i	0.294861	+	0.441291i
$650$	−30.8729	−	3.31027i	−1.21093	−	0.129839i
$651$	−3.65413	−	0.726851i	−0.143216	−	0.0284875i
$652$	4.12636	+	20.7446i	0.161601	+	0.812421i
$653$	11.3861	−	17.0406i	0.445574	−	0.666848i	−0.538902	−	0.842368i	$-0.681161\pi$
$653$	11.3861	−	17.0406i	0.445574	−	0.666848i	0.984476	+	0.175520i	$0.0561607\pi$
$654$	6.81866	−	16.4617i	0.266631	−	0.643703i
$655$	28.6193	+	31.8520i	1.11825	+	1.24456i
$656$	−0.616588	−	3.09980i	−0.0240737	−	0.121027i
$657$	−67.0706	+	13.3412i	−2.61667	+	0.520489i
$658$	−1.43064	−	2.14110i	−0.0557721	−	0.0834689i
$659$	−11.5403	+	11.5403i	−0.449545	+	0.449545i	−0.895203	−	0.445658i	$-0.852970\pi$
$659$	−11.5403	+	11.5403i	−0.449545	+	0.449545i	0.445658	+	0.895203i	$0.352970\pi$
$660$	−26.9274	−	20.1516i	−1.04815	−	0.784401i
$661$	−13.8639	+	5.74263i	−0.539245	+	0.223362i	−0.635647	−	0.771980i	$-0.719267\pi$
$661$	−13.8639	+	5.74263i	−0.539245	+	0.223362i	0.0964021	+	0.995342i	$0.469267\pi$
$662$	−10.3154	+	10.3154i	−0.400918	+	0.400918i
$663$	−44.5903	+	63.7456i	−1.73174	+	2.47567i
$664$			1.72530i			0.0669547i
$665$	−1.64769	+	1.48047i	−0.0638949	+	0.0574101i
$666$	23.5220	−	15.7169i	0.911458	−	0.609017i
$667$	21.1209			0.817805
$668$	−7.83225	+	5.23334i	−0.303039	+	0.202484i
$669$	−24.2945	+	36.3593i	−0.939280	+	1.40573i
$670$	9.85350	+	2.51346i	0.380674	+	0.0971033i
$671$	17.3830	+	7.20025i	0.671061	+	0.277963i
$672$	2.84358	−	1.17785i	0.109693	−	0.0454365i
$673$	−14.2579	−	9.52684i	−0.549603	−	0.367233i	0.249549	−	0.968362i	$-0.419718\pi$
$673$	−14.2579	−	9.52684i	−0.549603	−	0.367233i	−0.799152	+	0.601129i	$0.794718\pi$
$674$	−20.1582	−	13.4693i	−0.776464	−	0.518817i
$675$	−46.8473	−	14.6541i	−1.80315	−	0.564038i
$676$	−18.0763	−	18.0763i	−0.695242	−	0.695242i
$677$	−7.81053	+	39.2662i	−0.300183	+	1.50912i	0.476469	+	0.879192i	$0.341917\pi$
$677$	−7.81053	+	39.2662i	−0.300183	+	1.50912i	−0.776652	+	0.629930i	$0.783083\pi$
$678$	−4.87366	+	11.7661i	−0.187172	+	0.451872i
$679$	−1.02187			−0.0392157
$680$	5.68029	−	7.26184i	0.217829	−	0.278479i
$681$	31.6284			1.21200
$682$	2.29325	−	5.53640i	0.0878131	−	0.212000i
$683$	3.35244	−	16.8539i	0.128278	−	0.644895i	−0.862126	−	0.506693i	$-0.830868\pi$
$683$	3.35244	−	16.8539i	0.128278	−	0.644895i	0.990404	−	0.138202i	$-0.0441323\pi$
$684$	−4.30865	−	4.30865i	−0.164745	−	0.164745i
$685$	43.2348	−	6.22253i	1.65192	−	0.237751i
$686$	10.9278	+	7.30175i	0.417227	+	0.278782i
$687$	−23.4498	−	15.6686i	−0.894665	−	0.597796i
$688$	−8.74081	+	3.62056i	−0.333240	+	0.138033i
$689$	−5.31063	−	2.19973i	−0.202319	−	0.0838032i
$690$	−22.3522	+	13.2665i	−0.850935	+	0.505047i
$691$	−5.12137	+	7.66466i	−0.194826	+	0.291578i	−0.916002	−	0.401175i	$-0.868602\pi$
$691$	−5.12137	+	7.66466i	−0.194826	+	0.291578i	0.721176	+	0.692752i	$0.243602\pi$
$692$	5.26412	−	3.51737i	0.200112	−	0.133710i
$693$	−31.2494			−1.18707
$694$	0.142371	−	0.0951294i	0.00540434	−	0.00361106i
$695$	33.6493	+	1.79883i	1.27639	+	0.0682333i
$696$		−	16.7727i		−	0.635766i
$697$	−12.7236	−	2.81445i	−0.481942	−	0.106605i
$698$	−18.2320	+	18.2320i	−0.690091	+	0.690091i
$699$	25.9330	−	10.7418i	0.980875	−	0.406292i
$700$	4.48752	−	2.34901i	0.169612	−	0.0887842i
$701$	18.1156	−	18.1156i	0.684217	−	0.684217i	−0.276731	−	0.960947i	$-0.589251\pi$
$701$	18.1156	−	18.1156i	0.684217	−	0.684217i	0.960947	+	0.276731i	$0.0892511\pi$
$702$	−33.8699	−	50.6899i	−1.27834	−	1.91317i
$703$	4.35432	−	0.866129i	0.164226	−	0.0326667i
$704$	0.965801	+	4.85541i	0.0364000	+	0.182995i
$705$	12.8459	−	11.5422i	0.483805	−	0.434704i
$706$	−11.4780	+	27.7102i	−0.431978	+	1.04289i
$707$	6.66528	−	9.97530i	0.250674	−	0.375160i
$708$	−1.61887	−	8.13862i	−0.0608409	−	0.305868i
$709$	30.0563	+	5.97857i	1.12879	+	0.224530i	0.723946	−	0.689857i	$-0.242327\pi$
$709$	30.0563	+	5.97857i	1.12879	+	0.224530i	0.404842	+	0.914387i	$0.367327\pi$
$710$	−11.7742	−	5.63116i	−0.441879	−	0.211334i
$711$	−13.5217	−	20.2366i	−0.507102	−	0.758932i
$712$	−7.28177	−	3.01621i	−0.272896	−	0.113037i
$713$	−3.27479	−	3.27479i	−0.122642	−	0.122642i
$714$	0.270840	−	12.6875i	0.0101359	−	0.474817i
$715$	−22.8789	−	64.8237i	−0.855622	−	2.42427i
$716$	1.20852	+	2.91762i	0.0451645	+	0.109037i
$717$	44.5927	+	8.87005i	1.66535	+	0.331258i
$718$			18.6748i			0.696938i
$719$	8.80573	−	44.2694i	0.328398	−	1.65097i	−0.365437	−	0.930836i	$-0.619080\pi$
$719$	8.80573	−	44.2694i	0.328398	−	1.65097i	0.693835	−	0.720134i	$-0.255920\pi$
$720$	7.11145	+	11.9818i	0.265028	+	0.446536i
$721$	6.28436	−	1.25004i	0.234042	−	0.0465538i
$722$	6.90504	+	16.6702i	0.256979	+	0.620402i
$723$	2.32376	+	5.61006i	0.0864216	+	0.208640i
$724$	−0.595305	+	0.118413i	−0.0221243	+	0.00440080i
$725$	−2.46807	−	27.4917i	−0.0916617	−	1.02101i
$726$	8.00658	−	40.2518i	0.297152	−	1.49388i
$727$		−	40.1511i		−	1.48912i	−0.667554	−	0.744562i	$-0.732659\pi$
$727$		−	40.1511i		−	1.48912i	0.667554	−	0.744562i	$-0.267341\pi$
$728$	6.17000	+	1.22729i	0.228675	+	0.0454863i
$729$	7.69397	+	18.5749i	0.284962	+	0.687959i
$730$	22.1384	+	10.5879i	0.819378	+	0.391877i
$731$	−0.832528	+	38.9997i	−0.0307922	+	1.44246i
$732$	−8.16525	−	8.16525i	−0.301796	−	0.301796i
$733$	−1.72765	−	0.715617i	−0.0638123	−	0.0264319i	0.350549	−	0.936544i	$-0.385995\pi$
$733$	−1.72765	−	0.715617i	−0.0638123	−	0.0264319i	−0.414361	+	0.910112i	$0.635995\pi$
$734$	−0.0956104	−	0.143091i	−0.00352905	−	0.00528159i
$735$	−17.5105	+	36.6128i	−0.645884	+	1.35048i
$736$	3.75243	+	0.746405i	0.138316	+	0.0275129i
$737$	4.39219	+	22.0810i	0.161789	+	0.813366i
$738$	10.9412	−	16.3747i	0.402753	−	0.602762i
$739$	−7.93744	+	19.1627i	−0.291983	+	0.704910i	−0.999999	−	0.00128633i	$-0.999591\pi$
$739$	−7.93744	+	19.1627i	−0.291983	+	0.704910i	0.708016	+	0.706197i	$0.249591\pi$
$740$	−10.1373	−	0.541923i	−0.372656	−	0.0199215i
$741$	−3.59949	−	18.0959i	−0.132231	−	0.664768i
$742$	0.919679	−	0.182936i	0.0337625	−	0.00671578i
$743$	−5.39426	−	8.07308i	−0.197896	−	0.296173i	0.719228	−	0.694774i	$-0.244496\pi$
$743$	−5.39426	−	8.07308i	−0.197896	−	0.296173i	−0.917124	+	0.398601i	$0.869496\pi$
$744$	−2.60060	+	2.60060i	−0.0953425	+	0.0953425i
$745$	−0.111070	−	0.771730i	−0.00406930	−	0.0282740i
$746$	−10.3194	+	4.27444i	−0.377820	+	0.156498i
$747$	−7.60183	+	7.60183i	−0.278137	+	0.278137i
$748$	19.9298	+	4.40845i	0.728706	+	0.161189i
$749$		−	4.13753i		−	0.151182i
$750$	19.8800	+	27.5441i	0.725917	+	1.00577i
$751$	4.89122	−	3.26821i	0.178483	−	0.119259i	−0.463119	−	0.886296i	$-0.653270\pi$
$751$	4.89122	−	3.26821i	0.178483	−	0.119259i	0.641602	+	0.767037i	$0.278270\pi$
$752$	−2.54197			−0.0926959
$753$	9.90786	−	6.62022i	0.361062	−	0.241254i
$754$	19.0459	−	28.5043i	0.693612	−	1.03806i
$755$	−9.93633	+	38.9534i	−0.361620	+	1.41766i
$756$	9.18803	+	3.80581i	0.334165	+	0.138416i
$757$	−3.23494	+	1.33996i	−0.117576	+	0.0487015i	−0.440696	−	0.897656i	$-0.645268\pi$
$757$	−3.23494	+	1.33996i	−0.117576	+	0.0487015i	0.323120	+	0.946358i	$0.395268\pi$
$758$	4.84141	+	3.23493i	0.175848	+	0.117498i
$759$	−47.8481	−	31.9711i	−1.73678	−	1.16048i
$760$	0.311497	+	2.16432i	0.0112992	+	0.0785080i
$761$	7.94344	+	7.94344i	0.287949	+	0.287949i	0.836269	−	0.548320i	$-0.184732\pi$
$761$	7.94344	+	7.94344i	0.287949	+	0.287949i	−0.548320	+	0.836269i	$0.684732\pi$
$762$	−7.37218	+	37.0624i	−0.267066	+	1.34263i
$763$	−2.27349	+	5.48868i	−0.0823057	+	0.198704i
$764$	8.57488			0.310228
$765$	57.0242	−	6.96844i	2.06171	−	0.251944i
$766$	−9.99093			−0.360987
$767$	6.49050	−	15.6695i	0.234358	−	0.565791i
$768$	0.592739	−	2.97990i	0.0213886	−	0.107528i
$769$	18.7502	+	18.7502i	0.676149	+	0.676149i	0.959127	−	0.282977i	$-0.0913222\pi$
$769$	18.7502	+	18.7502i	0.676149	+	0.676149i	−0.282977	+	0.959127i	$0.591322\pi$
$770$	8.97818	+	6.71898i	0.323551	+	0.242135i
$771$	62.6252	+	41.8448i	2.25539	+	1.50700i
$772$	−12.5343	−	8.37512i	−0.451118	−	0.301427i
$773$	17.2683	−	7.15278i	0.621099	−	0.257267i	−0.0498671	−	0.998756i	$-0.515880\pi$
$773$	17.2683	−	7.15278i	0.621099	−	0.257267i	0.670966	+	0.741488i	$0.265880\pi$
$774$	−54.4653	−	22.5603i	−1.95772	−	0.810912i
$775$	−3.87990	+	4.64525i	−0.139370	+	0.166862i
$776$	−0.560418	+	0.838725i	−0.0201178	+	0.0301085i
$777$	−11.6186	+	7.76332i	−0.416816	+	0.278508i
$778$	−16.5562			−0.593570
$779$	2.56977	−	1.71706i	0.0920714	−	0.0615202i
$780$	−2.25214	+	42.1292i	−0.0806396	+	1.50847i
$781$		−	28.8953i		−	1.03396i
$782$	9.04193	−	12.9262i	0.323339	−	0.462241i
$783$	38.3217	−	38.3217i	1.36950	−	1.36950i
$784$	5.51905	−	2.28606i	0.197109	−	0.0816452i
$785$	−33.3957	+	44.6247i	−1.19194	+	1.59273i
$786$	41.1417	−	41.1417i	1.46748	−	1.46748i
$787$	7.76222	+	11.6170i	0.276693	+	0.414101i	0.943624	−	0.331019i	$-0.107392\pi$
$787$	7.76222	+	11.6170i	0.276693	+	0.414101i	−0.666931	+	0.745120i	$0.732392\pi$
$788$	17.5763	−	3.49614i	0.626130	−	0.124545i
$789$	17.8022	+	89.4976i	0.633774	+	3.18620i
$790$	−0.466231	+	8.72144i	−0.0165878	+	0.310295i
$791$	1.62498	−	3.92305i	0.0577777	−	0.139488i
$792$	−17.1380	+	25.6488i	−0.608971	+	0.911390i
$793$	−4.60449	−	23.1483i	−0.163510	−	0.822022i
$794$	29.1324	+	5.79479i	1.03387	+	0.205649i
$795$	2.09297	+	5.93009i	0.0742299	+	0.210319i
$796$	8.07971	+	12.0921i	0.286378	+	0.428595i
$797$	36.3246	+	15.0461i	1.28668	+	0.532961i	0.917995	−	0.396592i	$-0.129807\pi$
$797$	36.3246	+	15.0461i	1.28668	+	0.532961i	0.368688	+	0.929553i	$0.379807\pi$
$798$	2.12825	+	2.12825i	0.0753392	+	0.0753392i
$799$	−4.21657	+	9.59518i	−0.149171	+	0.339453i
$800$	0.533057	−	4.97150i	0.0188464	−	0.175769i
$801$	−18.7945	−	45.3738i	−0.664069	−	1.60320i
$802$	29.8550	+	5.93854i	1.05422	+	0.209697i
$803$			54.3303i			1.91727i
$804$	2.69561	−	13.5518i	0.0950670	−	0.477934i
$805$	7.45271	−	4.42333i	0.262674	−	0.155902i
$806$	−7.37265	+	1.46651i	−0.259691	+	0.0516557i
$807$	24.0342	+	58.0237i	0.846045	+	2.04253i
$808$	−4.53208	−	10.9414i	−0.159438	−	0.384918i
$809$	−43.4857	+	8.64984i	−1.52888	+	0.304112i	−0.886663	−	0.462415i	$-0.846983\pi$
$809$	−43.4857	+	8.64984i	−1.52888	+	0.304112i	−0.642212	+	0.766527i	$0.721983\pi$
$810$	−6.15349	+	24.1235i	−0.216212	+	0.847614i
$811$	8.47722	−	42.6179i	0.297676	−	1.49652i	−0.485236	−	0.874383i	$-0.661266\pi$
$811$	8.47722	−	42.6179i	0.297676	−	1.49652i	0.782912	−	0.622133i	$-0.213734\pi$
$812$			5.59236i			0.196253i
$813$	47.9006	+	9.52803i	1.67995	+	0.334163i
$814$	−8.60103	−	20.7647i	−0.301466	−	0.727803i
$815$	44.5988	−	15.7407i	1.56223	−	0.551374i
$816$	−10.2650	−	7.18043i	−0.359348	−	0.251365i
$817$	−6.54198	−	6.54198i	−0.228875	−	0.228875i
$818$	−9.24394	−	3.82896i	−0.323207	−	0.133877i
$819$	21.7780	+	32.5931i	0.760986	+	1.13890i
$820$	−6.66426	+	2.35209i	−0.232726	+	0.0821384i
$821$	−30.4851	−	6.06387i	−1.06394	−	0.211630i	−0.368069	−	0.929799i	$-0.619981\pi$
$821$	−30.4851	−	6.06387i	−1.06394	−	0.211630i	−0.695870	+	0.718168i	$0.744981\pi$
$822$	−11.5788	−	58.2107i	−0.403858	−	2.03033i
$823$	19.9247	−	29.8194i	0.694531	−	1.03944i	−0.301759	−	0.953384i	$-0.597574\pi$
$823$	19.9247	−	29.8194i	0.694531	−	1.03944i	0.996290	−	0.0860556i	$-0.0274263\pi$
$824$	2.42050	−	5.84361i	0.0843222	−	0.203572i
$825$	−36.0233	+	66.0166i	−1.25417	+	2.29840i
$826$	0.539767	+	2.71359i	0.0187809	+	0.0944179i
$827$	−13.8157	+	2.74811i	−0.480418	+	0.0955611i	−0.429358	−	0.903134i	$-0.641260\pi$
$827$	−13.8157	+	2.74811i	−0.480418	+	0.0955611i	−0.0510603	+	0.998696i	$0.516260\pi$
$828$	13.2448	+	19.8223i	0.460290	+	0.688872i
$829$	30.4474	−	30.4474i	1.05748	−	1.05748i	0.0592386	−	0.998244i	$-0.481133\pi$
$829$	30.4474	−	30.4474i	1.05748	−	1.05748i	0.998244	−	0.0592386i	$-0.0188673\pi$
$830$	3.81854	−	0.549580i	0.132544	−	0.0190762i
$831$	−46.3399	+	19.1946i	−1.60751	+	0.665854i
$832$	4.39111	−	4.39111i	0.152234	−	0.152234i
$833$	0.525668	−	24.6249i	0.0182133	−	0.853202i
$834$		−	45.7866i		−	1.58546i
$835$	14.0777	+	15.6678i	0.487178	+	0.542207i
$836$	−4.02519	+	2.68954i	−0.139214	+	0.0930198i
$837$	−11.8835			−0.410755
$838$	−0.164878	+	0.110168i	−0.00569561	+	0.00380569i
$839$	−12.2368	+	18.3136i	−0.422460	+	0.632256i	−0.980258	−	0.197721i	$-0.936646\pi$
$839$	−12.2368	+	18.3136i	−0.422460	+	0.632256i	0.557799	+	0.829976i	$0.311646\pi$
$840$	−3.51268	−	5.91839i	−0.121199	−	0.204204i
$841$	1.36299	+	0.564569i	0.0469996	+	0.0194679i
$842$	15.6842	−	6.49662i	0.540515	−	0.223888i
$843$	−59.4080	−	39.6952i	−2.04612	−	1.36717i
$844$	6.81423	+	4.55312i	0.234556	+	0.156725i
$845$	−34.2495	+	45.7656i	−1.17822	+	1.57439i
$846$	−11.2001	−	11.2001i	−0.385068	−	0.385068i
$847$	−2.66956	+	13.4208i	−0.0917273	+	0.461144i
$848$	0.354226	−	0.855178i	0.0121642	−	0.0293669i
$849$	−58.2754			−2.00001
$850$	−17.8818	−	10.2588i	−0.613339	−	0.351873i
$851$	−17.3699			−0.595433
$852$	−6.78647	+	16.3840i	−0.232501	+	0.561306i
$853$	9.01411	−	45.3170i	0.308637	−	1.55162i	−0.445727	−	0.895169i	$-0.647055\pi$
$853$	9.01411	−	45.3170i	0.308637	−	1.55162i	0.754364	−	0.656456i	$-0.227945\pi$
$854$	2.72247	+	2.72247i	0.0931609	+	0.0931609i
$855$	−8.16369	+	10.9087i	−0.279192	+	0.373068i
$856$	−3.39599	−	2.26913i	−0.116073	−	0.0775572i
$857$	−17.8317	−	11.9148i	−0.609119	−	0.407001i	0.212399	−	0.977183i	$-0.431872\pi$
$857$	−17.8317	−	11.9148i	−0.609119	−	0.407001i	−0.821518	+	0.570183i	$0.806872\pi$
$858$	−86.2948	+	35.7445i	−2.94606	+	1.22030i
$859$	36.8774	+	15.2751i	1.25824	+	0.521181i	0.909369	−	0.415990i	$-0.136565\pi$
$859$	36.8774	+	15.2751i	1.25824	+	0.521181i	0.348872	+	0.937170i	$0.386565\pi$
$860$	10.7976	+	18.1924i	0.368194	+	0.620356i
$861$	−5.40440	+	8.08826i	−0.184182	+	0.275647i
$862$	−27.8276	+	18.5938i	−0.947812	+	0.633308i
$863$	16.5591			0.563677			0.281839	−	0.959462i	$-0.409056\pi$
$863$	16.5591			0.563677			0.281839	+	0.959462i	$0.409056\pi$
$864$	8.16266	−	5.45412i	0.277699	−	0.185553i
$865$	−9.46171	−	10.5305i	−0.321708	−	0.358046i
$866$			32.3543i			1.09944i
$867$	−44.1315	+	26.8368i	−1.49878	+	0.911425i
$868$	0.867095	−	0.867095i	0.0294311	−	0.0294311i
$869$	−17.8645	+	7.39970i	−0.606010	+	0.251018i
$870$	−37.1223	+	5.34279i	−1.25856	+	0.181137i
$871$	19.9696	−	19.9696i	0.676643	−	0.676643i
$872$	3.25814	+	4.87615i	0.110335	+	0.165127i
$873$	−6.16475	+	1.22625i	−0.208645	+	0.0415021i
$874$	0.729898	+	3.66945i	0.0246892	+	0.124121i
$875$	−6.62843	−	9.18380i	−0.224082	−	0.310469i
$876$	12.7602	−	30.8059i	0.431127	−	1.04083i
$877$	−27.1410	+	40.6194i	−0.916488	+	1.37162i	0.0118683	+	0.999930i	$0.496222\pi$
$877$	−27.1410	+	40.6194i	−0.916488	+	1.37162i	−0.928356	+	0.371692i	$0.878778\pi$
$878$	−0.132814	−	0.667700i	−0.00448225	−	0.0225338i
$879$	−8.15880	−	1.62289i	−0.275189	−	0.0547386i
$880$	10.4386	−	3.68422i	0.351887	−	0.124195i
$881$	−6.87232	−	10.2851i	−0.231534	−	0.346515i	0.697451	−	0.716633i	$-0.254318\pi$
$881$	−6.87232	−	10.2851i	−0.231534	−	0.346515i	−0.928985	+	0.370117i	$0.879318\pi$
$882$	34.3900	+	14.2448i	1.15797	+	0.479648i
$883$	30.7254	+	30.7254i	1.03399	+	1.03399i	0.999402	+	0.0345916i	$0.0110131\pi$
$883$	30.7254	+	30.7254i	1.03399	+	1.03399i	0.0345916	+	0.999402i	$0.488987\pi$
$884$	−9.29128	−	23.8591i	−0.312500	−	0.802468i
$885$	−17.4972	+	6.17548i	−0.588163	+	0.207586i
$886$	12.0165	+	29.0103i	0.403701	+	0.974620i
$887$	50.0654	+	9.95862i	1.68103	+	0.334378i	0.941054	−	0.338255i	$-0.109837\pi$
$887$	50.0654	+	9.95862i	1.68103	+	0.334378i	0.739976	+	0.672633i	$0.234837\pi$
$888$			13.7939i			0.462893i
$889$	2.45804	−	12.3574i	0.0824401	−	0.414454i
$890$	−4.35611	+	17.0773i	−0.146017	+	0.572431i
$891$	−54.0592	+	10.7530i	−1.81105	+	0.360241i
$892$	−5.50783	−	13.2971i	−0.184416	−	0.445219i
$893$	−0.951255	−	2.29653i	−0.0318325	−	0.0768506i
$894$	−1.03904	+	0.206679i	−0.0347509	+	0.00691238i
$895$	6.07251	−	3.60416i	0.202981	−	0.120474i
$896$	−0.197632	+	0.993563i	−0.00660242	+	0.0331926i
$897$			72.1866i			2.41024i
$898$	14.3216	+	2.84874i	0.477918	+	0.0950638i
$899$	−2.55725	−	6.17375i	−0.0852892	−	0.205906i
$900$	24.2536	−	19.5562i	0.808453	−	0.651873i
$901$	−2.64046	−	2.75566i	−0.0879666	−	0.0918042i
$902$	−11.0636	−	11.0636i	−0.368377	−	0.368377i
$903$	26.9030	+	11.1436i	0.895276	+	0.370836i
$904$	−2.32877	−	3.48525i	−0.0774537	−	0.115918i
$905$	0.451709	+	1.27985i	0.0150153	+	0.0425435i
$906$	53.5735	+	10.6564i	1.77986	+	0.354036i
$907$	−0.514836	−	2.58826i	−0.0170948	−	0.0859416i	0.971296	−	0.237874i	$-0.0764505\pi$
$907$	−0.514836	−	2.58826i	−0.0170948	−	0.0859416i	−0.988391	+	0.151932i	$0.951450\pi$
$908$	−5.78346	+	8.65556i	−0.191931	+	0.287245i
$909$	28.2401	−	68.1776i	0.936665	−	2.26131i
$910$	0.750912	−	14.0468i	0.0248925	−	0.465646i
$911$	−5.18600	−	26.0718i	−0.171820	−	0.863797i	−0.966480	−	0.256743i	$-0.917351\pi$
$911$	−5.18600	−	26.0718i	−0.171820	−	0.863797i	0.794660	−	0.607055i	$-0.207649\pi$
$912$	2.91400	−	0.579631i	0.0964922	−	0.0191935i
$913$	4.74521	+	7.10171i	0.157044	+	0.235032i
$914$	−1.82678	+	1.82678i	−0.0604245	+	0.0604245i
$915$	−15.4709	+	20.6728i	−0.511451	+	0.683422i
$916$	8.57590	−	3.55225i	0.283356	−	0.117370i
$917$	−13.7175	+	13.7175i	−0.452992	+	0.452992i
$918$	−7.04763	−	39.8589i	−0.232607	−	1.31554i
$919$		−	10.5352i		−	0.347525i	−0.984788	−	0.173762i	$-0.944408\pi$
$919$		−	10.5352i		−	0.347525i	0.984788	−	0.173762i	$-0.0555925\pi$
$920$	0.456686	−	8.54288i	0.0150565	−	0.281650i
$921$	−45.8736	+	30.6518i	−1.51159	+	1.01001i
$922$	−16.7379			−0.551233
$923$	−30.1378	+	20.1375i	−0.991999	+	0.662832i
$924$	8.46526	−	12.6692i	0.278487	−	0.416785i
$925$	2.02975	+	22.6092i	0.0667377	+	0.743387i
$926$	−7.39240	−	3.06203i	−0.242929	−	0.100625i
$927$	36.4124	−	15.0825i	1.19594	−	0.495375i
$928$	4.59008	+	3.06699i	0.150677	+	0.100679i
$929$	−8.70927	−	5.81935i	−0.285742	−	0.190927i	0.404436	−	0.914566i	$-0.367468\pi$
$929$	−8.70927	−	5.81935i	−0.285742	−	0.190927i	−0.690178	+	0.723640i	$0.742468\pi$
$930$	6.58420	+	4.92741i	0.215904	+	0.161576i
$931$	4.13068	+	4.13068i	0.135378	+	0.135378i
$932$	−1.80237	+	9.06114i	−0.0590387	+	0.296807i
$933$	−26.4349	+	63.8195i	−0.865439	+	2.08936i
$934$	−28.1355			−0.920621
$935$	3.40858	−	45.5142i	0.111473	−	1.48847i
$936$	38.6953			1.26479
$937$	−0.986951	+	2.38271i	−0.0322423	+	0.0778398i	−0.939181	−	0.343424i	$-0.888413\pi$
$937$	−0.986951	+	2.38271i	−0.0322423	+	0.0778398i	0.906938	+	0.421264i	$0.138413\pi$
$938$	−0.898775	+	4.51845i	−0.0293460	+	0.147533i
$939$	10.0165	+	10.0165i	0.326877	+	0.326877i
$940$	0.809721	+	5.62604i	0.0264102	+	0.183501i
$941$	−19.9650	−	13.3402i	−0.650841	−	0.434878i	0.185832	−	0.982582i	$-0.440502\pi$
$941$	−19.9650	−	13.3402i	−0.650841	−	0.434878i	−0.836672	+	0.547704i	$0.815502\pi$
$942$	62.9702	+	42.0753i	2.05168	+	1.37089i
$943$	−11.1716	+	4.62741i	−0.363796	+	0.150689i
$944$	2.52327	+	1.04517i	0.0821255	+	0.0340175i
$945$	5.49648	−	21.5478i	0.178801	−	0.700951i
$946$	−26.0212	+	38.9434i	−0.846022	+	1.26616i
$947$	−5.56302	+	3.71709i	−0.180774	+	0.120789i	−0.642665	−	0.766148i	$-0.722171\pi$
$947$	−5.56302	+	3.71709i	−0.180774	+	0.120789i	0.461891	+	0.886937i	$0.347171\pi$
$948$	11.8673			0.385431
$949$	56.6664	−	37.8633i	1.83947	−	1.22909i
$950$	4.69098	−	1.37885i	0.152195	−	0.0447358i
$951$		−	38.7177i		−	1.25551i
$952$	3.42258	+	2.39411i	0.110927	+	0.0775935i
$953$	30.1080	−	30.1080i	0.975294	−	0.975294i	−0.0244084	−	0.999702i	$-0.507770\pi$
$953$	30.1080	−	30.1080i	0.975294	−	0.975294i	0.999702	+	0.0244084i	$0.00777022\pi$
$954$	5.32874	−	2.20724i	0.172524	−	0.0714620i
$955$	−2.73145	−	18.9785i	−0.0883878	−	0.614129i
$956$	−10.5815	+	10.5815i	−0.342230	+	0.342230i
$957$	−46.1310	−	69.0399i	−1.49120	−	2.23174i
$958$	−29.5880	+	5.88542i	−0.955945	+	0.190149i
$959$	3.86063	+	19.4087i	0.124666	+	0.626739i
$960$	−6.78412	−	0.362666i	−0.218956	−	0.0117050i
$961$	11.3024	−	27.2865i	0.364595	−	0.880210i
$962$	−15.6635	+	23.4420i	−0.505010	+	0.755801i
$963$	−4.96506	−	24.9610i	−0.159997	−	0.804358i
$964$	−1.96019	−	0.389906i	−0.0631334	−	0.0125580i
$965$	−14.5437	+	30.4094i	−0.468177	+	0.978914i
$966$	−6.54225	−	9.79117i	−0.210494	−	0.315026i
$967$	−47.8672	−	19.8272i	−1.53931	−	0.637601i	−0.557962	−	0.829866i	$-0.688417\pi$
$967$	−47.8672	−	19.8272i	−1.53931	−	0.637601i	−0.981343	+	0.192265i	$0.938417\pi$
$968$	9.55143	+	9.55143i	0.306995	+	0.306995i
$969$	2.64576	−	11.9610i	0.0849939	−	0.384242i
$970$	2.03484	+	0.973184i	0.0653346	+	0.0312470i
$971$	−4.87586	−	11.7714i	−0.156474	−	0.377762i	0.826129	−	0.563481i	$-0.190538\pi$
$971$	−4.87586	−	11.7714i	−0.156474	−	0.377762i	−0.982603	+	0.185720i	$0.940538\pi$
$972$	4.29211	+	0.853754i	0.137670	+	0.0273842i
$973$			15.2662i			0.489413i
$974$	−1.44106	+	7.24470i	−0.0461745	+	0.232135i
$975$	93.9603	−	8.43530i	3.00914	−	0.270146i
$976$	3.72761	−	0.741467i	0.119318	−	0.0237338i
$977$	−23.1517	−	55.8931i	−0.740688	−	1.78818i	−0.603063	−	0.797694i	$-0.706053\pi$
$977$	−23.1517	−	55.8931i	−0.740688	−	1.78818i	−0.137625	−	0.990484i	$-0.543947\pi$
$978$	−24.5923	−	59.3710i	−0.786374	−	1.89848i
$979$	−38.2690	+	7.61218i	−1.22308	+	0.243286i
$980$	−6.81771	−	11.4869i	−0.217784	−	0.366935i
$981$	−7.12911	+	35.8405i	−0.227615	+	1.14430i
$982$		−	29.9295i		−	0.955089i
$983$	12.4729	+	2.48102i	0.397824	+	0.0791321i	0.389948	−	0.920837i	$-0.372493\pi$
$983$	12.4729	+	2.48102i	0.397824	+	0.0791321i	0.00787597	+	0.999969i	$0.497493\pi$
$984$	3.67474	+	8.87162i	0.117147	+	0.282817i
$985$	−13.3367	−	37.7873i	−0.424942	−	1.20400i
$986$	19.1910	−	12.2388i	0.611165	−	0.389761i
$987$	5.53228	+	5.53228i	0.176094	+	0.176094i
$988$	5.61039	+	2.32390i	0.178490	+	0.0739330i
$989$	20.1101	+	30.0969i	0.639464	+	0.957025i
$990$	62.2266	+	29.7606i	1.97769	+	0.945854i
$991$	−23.2936	−	4.63339i	−0.739947	−	0.147185i	−0.189296	−	0.981920i	$-0.560620\pi$
$991$	−23.2936	−	4.63339i	−0.739947	−	0.147185i	−0.550651	+	0.834736i	$0.685620\pi$
$992$	−0.236154	−	1.18723i	−0.00749791	−	0.0376945i
$993$	24.6245	−	36.8531i	0.781434	−	1.16950i
$994$	2.26275	−	5.46277i	0.0717702	−	0.173269i
$995$	24.1894	−	21.7344i	0.766855	−	0.689026i
$996$	−1.02265	−	5.14123i	−0.0324040	−	0.162906i
$997$	3.14318	−	0.625218i	0.0995456	−	0.0198009i	−0.145066	−	0.989422i	$-0.546339\pi$
$997$	3.14318	−	0.625218i	0.0995456	−	0.0198009i	0.244612	+	0.969621i	$0.421339\pi$
$998$	−6.95080	−	10.4026i	−0.220024	−	0.329289i
$999$	−31.5159	+	31.5159i	−0.997119	+	0.997119i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	170.2.r.b.97.1	yes	40
5.2	odd	4		850.2.s.d.743.5		40
5.3	odd	4		170.2.o.b.63.1	yes	40
5.4	even	2		850.2.v.d.607.5		40
17.10	odd	16		170.2.o.b.27.1	✓	40
85.27	even	16		850.2.v.d.843.5		40
85.44	odd	16		850.2.s.d.707.5		40
85.78	even	16	inner	170.2.r.b.163.1	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.b.27.1	✓	40	17.10	odd	16
170.2.o.b.63.1	yes	40	5.3	odd	4
170.2.r.b.97.1	yes	40	1.1	even	1	trivial
170.2.r.b.163.1	yes	40	85.78	even	16	inner
850.2.s.d.707.5		40	85.44	odd	16
850.2.s.d.743.5		40	5.2	odd	4
850.2.v.d.607.5		40	5.4	even	2
850.2.v.d.843.5		40	85.27	even	16

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:	\( N \)	\(=\)	\( 170 = 2 \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	170.r (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.382683 - 0.923880i) q^{2} +(-0.592739 + 2.97990i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-1.33977 + 1.79026i) q^{5} +(2.52624 + 1.68798i) q^{6} +(-0.842302 - 0.562808i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(-5.75684 - 2.38456i) q^{9} +O(q^{10})\)	\(q+(0.382683 - 0.923880i) q^{2} +(-0.592739 + 2.97990i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-1.33977 + 1.79026i) q^{5} +(2.52624 + 1.68798i) q^{6} +(-0.842302 - 0.562808i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(-5.75684 - 2.38456i) q^{9} +(1.14127 + 1.92289i) q^{10} +(-2.75037 + 4.11622i) q^{11} +(2.52624 - 1.68798i) q^{12} +6.20997 q^{13} +(-0.842302 + 0.562808i) q^{14} +(-4.54065 - 5.05354i) q^{15} +1.00000i q^{16} +(3.77471 + 1.65878i) q^{17} +(-4.40609 + 4.40609i) q^{18} +(-0.903448 + 0.374220i) q^{19} +(2.21326 - 0.318541i) q^{20} +(2.17638 - 2.17638i) q^{21} +(2.75037 + 4.11622i) q^{22} +(3.75243 - 0.746405i) q^{23} +(-0.592739 - 2.97990i) q^{24} +(-1.41003 - 4.79706i) q^{25} +(2.37645 - 5.73727i) q^{26} +(5.45412 - 8.16266i) q^{27} +(0.197632 + 0.993563i) q^{28} +(5.41437 + 1.07698i) q^{29} +(-6.40649 + 2.26111i) q^{30} +(-0.672510 - 1.00648i) q^{31} +(0.923880 + 0.382683i) q^{32} +(-10.6357 - 10.6357i) q^{33} +(2.97703 - 2.85259i) q^{34} +(2.13606 - 0.753902i) q^{35} +(2.38456 + 5.75684i) q^{36} +(-4.45280 - 0.885717i) q^{37} +0.977885i q^{38} +(-3.68089 + 18.5051i) q^{39} +(0.552685 - 2.16669i) q^{40} +(-3.09980 + 0.616588i) q^{41} +(-1.17785 - 2.84358i) q^{42} +(3.62056 + 8.74081i) q^{43} +(4.85541 - 0.965801i) q^{44} +(11.9818 - 7.11145i) q^{45} +(0.746405 - 3.75243i) q^{46} +2.54197i q^{47} +(-2.97990 - 0.592739i) q^{48} +(-2.28606 - 5.51905i) q^{49} +(-4.97150 - 0.533057i) q^{50} +(-7.18043 + 10.2650i) q^{51} +(-4.39111 - 4.39111i) q^{52} +(-0.855178 - 0.354226i) q^{53} +(-5.45412 - 8.16266i) q^{54} +(-3.68422 - 10.4386i) q^{55} +(0.993563 + 0.197632i) q^{56} +(-0.579631 - 2.91400i) q^{57} +(3.06699 - 4.59008i) q^{58} +(1.04517 - 2.52327i) q^{59} +(-0.362666 + 6.78412i) q^{60} +(-0.741467 - 3.72761i) q^{61} +(-1.18723 + 0.236154i) q^{62} +(3.50694 + 5.24851i) q^{63} +(0.707107 - 0.707107i) q^{64} +(-8.31993 + 11.1174i) q^{65} +(-13.8962 + 5.75598i) q^{66} +(3.21572 - 3.21572i) q^{67} +(-1.49619 - 3.84206i) q^{68} +11.6243i q^{69} +(0.120920 - 2.26197i) q^{70} +(-4.85314 + 3.24276i) q^{71} +6.23115 q^{72} +(9.12507 - 6.09718i) q^{73} +(-2.52231 + 3.77490i) q^{74} +(15.1306 - 1.35835i) q^{75} +(0.903448 + 0.374220i) q^{76} +(4.63328 - 1.91917i) q^{77} +(15.6879 + 10.4823i) q^{78} +(3.24765 + 2.17001i) q^{79} +(-1.79026 - 1.33977i) q^{80} +(7.87280 + 7.87280i) q^{81} +(-0.616588 + 3.09980i) q^{82} +(0.660244 - 1.59397i) q^{83} -3.07786 q^{84} +(-8.02689 + 4.53531i) q^{85} +9.46098 q^{86} +(-6.41862 + 15.4959i) q^{87} +(0.965801 - 4.85541i) q^{88} +(5.57322 + 5.57322i) q^{89} +(-1.98488 - 13.7912i) q^{90} +(-5.23067 - 3.49502i) q^{91} +(-3.18116 - 2.12558i) q^{92} +(3.39784 - 1.40743i) q^{93} +(2.34847 + 0.972768i) q^{94} +(0.540462 - 2.11877i) q^{95} +(-1.68798 + 2.52624i) q^{96} +(0.838725 - 0.560418i) q^{97} -5.97377 q^{98} +(25.6488 - 17.1380i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q+O(q^{10}) \) 40 * q	\( 40 q - 16 q^{10} - 16 q^{18} + 8 q^{25} - 8 q^{26} + 24 q^{27} - 8 q^{28} + 8 q^{29} + 16 q^{30} - 16 q^{31} - 32 q^{33} + 8 q^{34} - 32 q^{35} - 32 q^{39} - 56 q^{41} - 24 q^{42} + 16 q^{43} + 16 q^{44} + 24 q^{45} + 16 q^{49} - 32 q^{51} - 16 q^{52} + 16 q^{53} - 24 q^{54} - 8 q^{55} - 8 q^{56} - 120 q^{57} + 16 q^{58} + 8 q^{60} + 24 q^{61} - 8 q^{62} - 24 q^{63} - 32 q^{65} + 16 q^{67} - 8 q^{70} + 24 q^{71} + 56 q^{72} + 88 q^{73} + 32 q^{74} + 8 q^{75} + 24 q^{77} + 32 q^{78} - 104 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} + 136 q^{85} + 96 q^{86} + 136 q^{87} - 16 q^{89} + 24 q^{90} + 48 q^{91} - 8 q^{92} - 8 q^{93} - 8 q^{94} - 136 q^{95} + 16 q^{97} + 72 q^{98} + 160 q^{99}+O(q^{100}) \) 40 * q - 16 * q^10 - 16 * q^18 + 8 * q^25 - 8 * q^26 + 24 * q^27 - 8 * q^28 + 8 * q^29 + 16 * q^30 - 16 * q^31 - 32 * q^33 + 8 * q^34 - 32 * q^35 - 32 * q^39 - 56 * q^41 - 24 * q^42 + 16 * q^43 + 16 * q^44 + 24 * q^45 + 16 * q^49 - 32 * q^51 - 16 * q^52 + 16 * q^53 - 24 * q^54 - 8 * q^55 - 8 * q^56 - 120 * q^57 + 16 * q^58 + 8 * q^60 + 24 * q^61 - 8 * q^62 - 24 * q^63 - 32 * q^65 + 16 * q^67 - 8 * q^70 + 24 * q^71 + 56 * q^72 + 88 * q^73 + 32 * q^74 + 8 * q^75 + 24 * q^77 + 32 * q^78 - 104 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 + 136 * q^85 + 96 * q^86 + 136 * q^87 - 16 * q^89 + 24 * q^90 + 48 * q^91 - 8 * q^92 - 8 * q^93 - 8 * q^94 - 136 * q^95 + 16 * q^97 + 72 * q^98 + 160 * q^99

Introduction

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