LMFDB - Embedded newform 966.2.s.a.97.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(97,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 11, 1]))

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

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

chi := DirichletCharacter("966.97");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.s (of order $22$, degree $10$, 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:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$16$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			97.16
Character	$\chi$	$=$	966.97
Dual form			966.2.s.a.727.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.959493 - 0.281733i) q^{2} +(0.755750 + 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.480377 - 3.34109i) q^{5} +(-0.540641 - 0.841254i) q^{6} +(-2.08326 - 1.63096i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +O(q^{10})$	\(q+(-0.959493 - 0.281733i) q^{2} +(0.755750 + 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.480377 - 3.34109i) q^{5} +(-0.540641 - 0.841254i) q^{6} +(-2.08326 - 1.63096i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +(-1.40221 + 3.07042i) q^{10} +(-0.0493299 - 0.168002i) q^{11} +(0.281733 + 0.959493i) q^{12} +(-2.65149 - 1.21089i) q^{13} +(1.53938 + 2.15181i) q^{14} +(2.55099 - 2.21045i) q^{15} +(0.415415 + 0.909632i) q^{16} +(0.603616 - 0.387921i) q^{17} +(0.142315 - 0.989821i) q^{18} +(-3.02233 - 1.94234i) q^{19} +(2.21045 - 2.55099i) q^{20} +(-0.506377 - 2.59684i) q^{21} +0.175095i q^{22} +(-3.94790 + 2.72288i) q^{23} -1.00000i q^{24} +(-6.13467 - 1.80130i) q^{25} +(2.20294 + 1.90885i) q^{26} +(-0.540641 + 0.841254i) q^{27} +(-0.870792 - 2.49834i) q^{28} +(1.49701 - 0.962071i) q^{29} +(-3.07042 + 1.40221i) q^{30} +(-3.42851 + 2.97082i) q^{31} +(-0.142315 - 0.989821i) q^{32} +(0.0727370 - 0.159272i) q^{33} +(-0.688455 + 0.202149i) q^{34} +(-6.44992 + 6.17690i) q^{35} +(-0.415415 + 0.909632i) q^{36} +(-7.95013 + 1.14306i) q^{37} +(2.35269 + 2.71515i) q^{38} +(-1.21089 - 2.65149i) q^{39} +(-2.83961 + 1.82491i) q^{40} +(7.90199 + 1.13614i) q^{41} +(-0.245750 + 2.63431i) q^{42} +(0.300840 + 0.260679i) q^{43} +(0.0493299 - 0.168002i) q^{44} +3.37545 q^{45} +(4.55511 - 1.50033i) q^{46} +1.90397i q^{47} +(-0.281733 + 0.959493i) q^{48} +(1.67997 + 6.79542i) q^{49} +(5.37869 + 3.45667i) q^{50} +(0.710217 + 0.102114i) q^{51} +(-1.57591 - 2.45217i) q^{52} +(-4.39772 + 2.00837i) q^{53} +(0.755750 - 0.654861i) q^{54} +(-0.585008 + 0.0841115i) q^{55} +(0.131654 + 2.64247i) q^{56} +(-1.01217 - 3.44713i) q^{57} +(-1.70742 + 0.501343i) q^{58} +(0.693372 + 0.316652i) q^{59} +(3.34109 - 0.480377i) q^{60} +(-8.23867 - 9.50793i) q^{61} +(4.12661 - 1.88456i) q^{62} +(1.31788 - 2.29417i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(-5.31942 + 8.27718i) q^{65} +(-0.114663 + 0.132328i) q^{66} +(2.74526 - 9.34950i) q^{67} +0.717520 q^{68} +(-4.76673 - 0.527508i) q^{69} +(7.92889 - 4.10954i) q^{70} +(-0.959115 - 0.281622i) q^{71} +(0.654861 - 0.755750i) q^{72} +(4.71790 - 7.34120i) q^{73} +(7.95013 + 1.14306i) q^{74} +(-3.45667 - 5.37869i) q^{75} +(-1.49244 - 3.26800i) q^{76} +(-0.171237 + 0.430448i) q^{77} +(0.414834 + 2.88523i) q^{78} +(-0.704052 - 0.321530i) q^{79} +(3.23872 - 0.950974i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(-7.26182 - 3.31636i) q^{82} +(-0.697867 - 4.85377i) q^{83} +(0.977967 - 2.45837i) q^{84} +(-1.00612 - 2.20308i) q^{85} +(-0.215212 - 0.334876i) q^{86} +(1.76139 + 0.253249i) q^{87} +(-0.0946634 + 0.147299i) q^{88} +(6.55539 - 7.56532i) q^{89} +(-3.23872 - 0.950974i) q^{90} +(3.54883 + 6.84707i) q^{91} +(-4.79329 + 0.156238i) q^{92} -4.53657 q^{93} +(0.536409 - 1.82684i) q^{94} +(-7.94138 + 9.16485i) q^{95} +(0.540641 - 0.841254i) q^{96} +(1.81184 - 12.6016i) q^{97} +(0.302570 - 6.99346i) q^{98} +(0.159272 - 0.0727370i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q - 16 q^{2} - 16 q^{4} - 16 q^{8} + 16 q^{9}+O(q^{10}) $ 160 * q - 16 * q^2 - 16 * q^4 - 16 * q^8 + 16 * q^9	$ 160 q - 16 q^{2} - 16 q^{4} - 16 q^{8} + 16 q^{9} - 22 q^{14} - 16 q^{16} + 16 q^{18} - 36 q^{23} + 96 q^{25} + 22 q^{28} - 20 q^{29} - 16 q^{32} - 50 q^{35} + 16 q^{36} + 22 q^{37} + 4 q^{39} - 110 q^{43} + 8 q^{46} - 36 q^{50} + 22 q^{51} - 88 q^{53} + 22 q^{57} + 24 q^{58} - 16 q^{64} - 72 q^{70} + 48 q^{71} + 16 q^{72} - 22 q^{74} + 24 q^{77} + 4 q^{78} + 88 q^{79} - 16 q^{81} + 22 q^{84} + 76 q^{85} + 44 q^{86} - 44 q^{88} + 8 q^{92} - 14 q^{95} + 22 q^{98} - 22 q^{99}+O(q^{100}) $ 160 * q - 16 * q^2 - 16 * q^4 - 16 * q^8 + 16 * q^9 - 22 * q^14 - 16 * q^16 + 16 * q^18 - 36 * q^23 + 96 * q^25 + 22 * q^28 - 20 * q^29 - 16 * q^32 - 50 * q^35 + 16 * q^36 + 22 * q^37 + 4 * q^39 - 110 * q^43 + 8 * q^46 - 36 * q^50 + 22 * q^51 - 88 * q^53 + 22 * q^57 + 24 * q^58 - 16 * q^64 - 72 * q^70 + 48 * q^71 + 16 * q^72 - 22 * q^74 + 24 * q^77 + 4 * q^78 + 88 * q^79 - 16 * q^81 + 22 * q^84 + 76 * q^85 + 44 * q^86 - 44 * q^88 + 8 * q^92 - 14 * q^95 + 22 * q^98 - 22 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$-1$	$e\left(\frac{1}{22}\right)$

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 $

$2$	−0.959493	−	0.281733i	−0.678464	−	0.199215i
$2$	−0.959493	−	0.281733i	−0.678464	−	0.199215i
$3$	0.755750	+	0.654861i	0.436332	+	0.378084i
$3$	0.755750	+	0.654861i	0.436332	+	0.378084i
$4$	0.841254	+	0.540641i	0.420627	+	0.270320i
$5$	0.480377	−	3.34109i	0.214831	−	1.49418i	−0.541893	−	0.840447i	$-0.682292\pi$
$5$	0.480377	−	3.34109i	0.214831	−	1.49418i	0.756724	−	0.653734i	$-0.226799\pi$
$6$	−0.540641	−	0.841254i	−0.220716	−	0.343440i
$7$	−2.08326	−	1.63096i	−0.787399	−	0.616443i
$7$	−2.08326	−	1.63096i	−0.787399	−	0.616443i
$8$	−0.654861	−	0.755750i	−0.231528	−	0.267198i
$9$	0.142315	+	0.989821i	0.0474383	+	0.329940i
$10$	−1.40221	+	3.07042i	−0.443418	+	0.970951i
$11$	−0.0493299	−	0.168002i	−0.0148735	−	0.0506546i	0.951722	−	0.306962i	$-0.0993123\pi$
$11$	−0.0493299	−	0.168002i	−0.0148735	−	0.0506546i	−0.966595	+	0.256307i	$0.917494\pi$
$12$	0.281733	+	0.959493i	0.0813292	+	0.276982i
$13$	−2.65149	−	1.21089i	−0.735390	−	0.335841i	0.0122684	−	0.999925i	$-0.496095\pi$
$13$	−2.65149	−	1.21089i	−0.735390	−	0.335841i	−0.747659	+	0.664083i	$0.768822\pi$
$14$	1.53938	+	2.15181i	0.411417	+	0.575096i
$15$	2.55099	−	2.21045i	0.658664	−	0.570736i
$16$	0.415415	+	0.909632i	0.103854	+	0.227408i
$17$	0.603616	−	0.387921i	0.146398	−	0.0940845i	−0.465391	−	0.885105i	$-0.654086\pi$
$17$	0.603616	−	0.387921i	0.146398	−	0.0940845i	0.611790	+	0.791021i	$0.290450\pi$
$18$	0.142315	−	0.989821i	0.0335439	−	0.233303i
$19$	−3.02233	−	1.94234i	−0.693371	−	0.445603i	0.145912	−	0.989298i	$-0.453388\pi$
$19$	−3.02233	−	1.94234i	−0.693371	−	0.445603i	−0.839283	+	0.543695i	$0.817025\pi$
$20$	2.21045	−	2.55099i	0.494271	−	0.570420i
$21$	−0.506377	−	2.59684i	−0.110500	−	0.566677i
$22$			0.175095i			0.0373303i
$23$	−3.94790	+	2.72288i	−0.823194	+	0.567760i
$23$	−3.94790	+	2.72288i	−0.823194	+	0.567760i
$24$		−	1.00000i		−	0.204124i
$25$	−6.13467	−	1.80130i	−1.22693	−	0.360260i
$26$	2.20294	+	1.90885i	0.432031	+	0.374357i
$27$	−0.540641	+	0.841254i	−0.104046	+	0.161899i
$28$	−0.870792	−	2.49834i	−0.164564	−	0.472143i
$29$	1.49701	−	0.962071i	0.277988	−	0.178652i	−0.394216	−	0.919018i	$-0.628984\pi$
$29$	1.49701	−	0.962071i	0.277988	−	0.178652i	0.672204	+	0.740366i	$0.265348\pi$
$30$	−3.07042	+	1.40221i	−0.560579	+	0.256008i
$31$	−3.42851	+	2.97082i	−0.615778	+	0.533575i	−0.905942	−	0.423402i	$-0.860836\pi$
$31$	−3.42851	+	2.97082i	−0.615778	+	0.533575i	0.290163	+	0.956977i	$0.406290\pi$
$32$	−0.142315	−	0.989821i	−0.0251579	−	0.174977i
$33$	0.0727370	−	0.159272i	0.0126619	−	0.0277257i
$34$	−0.688455	+	0.202149i	−0.118069	+	0.0346682i
$35$	−6.44992	+	6.17690i	−1.09024	+	1.04409i
$36$	−0.415415	+	0.909632i	−0.0692358	+	0.151605i
$37$	−7.95013	+	1.14306i	−1.30699	+	0.187917i	−0.760386	−	0.649471i	$-0.774990\pi$
$37$	−7.95013	+	1.14306i	−1.30699	+	0.187917i	−0.546608	+	0.837389i	$0.684081\pi$
$38$	2.35269	+	2.71515i	0.381657	+	0.440455i
$39$	−1.21089	−	2.65149i	−0.193898	−	0.424578i
$40$	−2.83961	+	1.82491i	−0.448982	+	0.288543i
$41$	7.90199	+	1.13614i	1.23408	+	0.177434i	0.728320	−	0.685237i	$-0.240302\pi$
$41$	7.90199	+	1.13614i	1.23408	+	0.177434i	0.505764	+	0.862672i	$0.331211\pi$
$42$	−0.245750	+	2.63431i	−0.0379200	+	0.406483i
$43$	0.300840	+	0.260679i	0.0458776	+	0.0397532i	0.677498	−	0.735525i	$-0.263064\pi$
$43$	0.300840	+	0.260679i	0.0458776	+	0.0397532i	−0.631620	+	0.775278i	$0.717610\pi$
$44$	0.0493299	−	0.168002i	0.00743677	−	0.0253273i
$45$	3.37545			0.503182
$46$	4.55511	−	1.50033i	0.671614	−	0.221212i
$47$			1.90397i			0.277722i	0.990312	+	0.138861i	$0.0443441\pi$
$47$			1.90397i			0.277722i	−0.990312	+	0.138861i	$0.955656\pi$
$48$	−0.281733	+	0.959493i	−0.0406646	+	0.138491i
$49$	1.67997	+	6.79542i	0.239996	+	0.970774i
$50$	5.37869	+	3.45667i	0.760661	+	0.488847i
$51$	0.710217	+	0.102114i	0.0994502	+	0.0142988i
$52$	−1.57591	−	2.45217i	−0.218540	−	0.340055i
$53$	−4.39772	+	2.00837i	−0.604074	+	0.275871i	−0.693883	−	0.720088i	$-0.744101\pi$
$53$	−4.39772	+	2.00837i	−0.604074	+	0.275871i	0.0898094	+	0.995959i	$0.471374\pi$
$54$	0.755750	−	0.654861i	0.102844	−	0.0891153i
$55$	−0.585008	+	0.0841115i	−0.0788825	+	0.0113416i
$56$	0.131654	+	2.64247i	0.0175930	+	0.353115i
$57$	−1.01217	−	3.44713i	−0.134065	−	0.456583i
$58$	−1.70742	+	0.501343i	−0.224195	+	0.0658296i
$59$	0.693372	+	0.316652i	0.0902693	+	0.0412246i	0.460038	−	0.887899i	$-0.347836\pi$
$59$	0.693372	+	0.316652i	0.0902693	+	0.0412246i	−0.369769	+	0.929124i	$0.620563\pi$
$60$	3.34109	−	0.480377i	0.431333	−	0.0620163i
$61$	−8.23867	−	9.50793i	−1.05485	−	1.21737i	−0.975380	−	0.220529i	$-0.929222\pi$
$61$	−8.23867	−	9.50793i	−1.05485	−	1.21737i	−0.0794734	−	0.996837i	$-0.525324\pi$
$62$	4.12661	−	1.88456i	0.524080	−	0.239339i
$63$	1.31788	−	2.29417i	0.166037	−	0.289038i
$64$	−0.142315	+	0.989821i	−0.0177894	+	0.123728i
$65$	−5.31942	+	8.27718i	−0.659793	+	1.02666i
$66$	−0.114663	+	0.132328i	−0.0141140	+	0.0162884i
$67$	2.74526	−	9.34950i	0.335387	−	1.14222i	−0.603318	−	0.797501i	$-0.706155\pi$
$67$	2.74526	−	9.34950i	0.335387	−	1.14222i	0.938705	−	0.344722i	$-0.112027\pi$
$68$	0.717520			0.0870121
$69$	−4.76673	−	0.527508i	−0.573847	−	0.0635045i
$70$	7.92889	−	4.10954i	0.947684	−	0.491184i
$71$	−0.959115	−	0.281622i	−0.113826	−	0.0334223i	0.224323	−	0.974515i	$-0.427983\pi$
$71$	−0.959115	−	0.281622i	−0.113826	−	0.0334223i	−0.338150	+	0.941092i	$0.609801\pi$
$72$	0.654861	−	0.755750i	0.0771761	−	0.0890659i
$73$	4.71790	−	7.34120i	0.552189	−	0.859222i	−0.447191	−	0.894438i	$-0.647576\pi$
$73$	4.71790	−	7.34120i	0.552189	−	0.859222i	0.999380	+	0.0352162i	$0.0112120\pi$
$74$	7.95013	+	1.14306i	0.924184	+	0.132878i
$75$	−3.45667	−	5.37869i	−0.399142	−	0.621077i
$76$	−1.49244	−	3.26800i	−0.171195	−	0.374865i
$77$	−0.171237	+	0.430448i	−0.0195143	+	0.0490541i
$78$	0.414834	+	2.88523i	0.0469707	+	0.326688i
$79$	−0.704052	−	0.321530i	−0.0792121	−	0.0361749i	0.375415	−	0.926857i	$-0.377500\pi$
$79$	−0.704052	−	0.321530i	−0.0792121	−	0.0361749i	−0.454627	+	0.890682i	$0.650227\pi$
$80$	3.23872	−	0.950974i	0.362100	−	0.106322i
$81$	−0.959493	+	0.281733i	−0.106610	+	0.0313036i
$82$	−7.26182	−	3.31636i	−0.801934	−	0.366231i
$83$	−0.697867	−	4.85377i	−0.0766009	−	0.532771i	−0.991603	−	0.129321i	$-0.958720\pi$
$83$	−0.697867	−	4.85377i	−0.0766009	−	0.532771i	0.915002	−	0.403450i	$-0.132189\pi$
$84$	0.977967	−	2.45837i	0.106705	−	0.268230i
$85$	−1.00612	−	2.20308i	−0.109129	−	0.238958i
$86$	−0.215212	−	0.334876i	−0.0232069	−	0.0361106i
$87$	1.76139	+	0.253249i	0.188841	+	0.0271512i
$88$	−0.0946634	+	0.147299i	−0.0100912	+	0.0157021i
$89$	6.55539	−	7.56532i	0.694870	−	0.801922i	−0.293180	−	0.956057i	$-0.594714\pi$
$89$	6.55539	−	7.56532i	0.694870	−	0.801922i	0.988050	+	0.154135i	$0.0492590\pi$
$90$	−3.23872	−	0.950974i	−0.341391	−	0.100241i
$91$	3.54883	+	6.84707i	0.372019	+	0.717768i
$92$	−4.79329	+	0.156238i	−0.499735	+	0.0162890i
$93$	−4.53657			−0.470420
$94$	0.536409	−	1.82684i	0.0553264	−	0.188424i
$95$	−7.94138	+	9.16485i	−0.814769	+	0.940293i
$96$	0.540641	−	0.841254i	0.0551789	−	0.0858601i
$97$	1.81184	−	12.6016i	0.183964	−	1.27950i	−0.663311	−	0.748344i	$-0.730849\pi$
$97$	1.81184	−	12.6016i	0.183964	−	1.27950i	0.847275	−	0.531154i	$-0.178241\pi$
$98$	0.302570	−	6.99346i	0.0305642	−	0.706446i
$99$	0.159272	−	0.0727370i	0.0160074	−	0.00731035i
$100$	−4.18696	−	4.83200i	−0.418696	−	0.483200i
$101$	5.81076	−	0.835461i	0.578192	−	0.0831314i	0.152986	−	0.988228i	$-0.451111\pi$
$101$	5.81076	−	0.835461i	0.578192	−	0.0831314i	0.425205	+	0.905097i	$0.360202\pi$
$102$	−0.652679	−	0.298069i	−0.0646249	−	0.0295132i
$103$	−16.8071	+	4.93501i	−1.65605	+	0.486261i	−0.970367	−	0.241636i	$-0.922316\pi$
$103$	−16.8071	+	4.93501i	−1.65605	+	0.486261i	−0.685686	+	0.727897i	$0.740498\pi$
$104$	0.821223	+	2.79683i	0.0805275	+	0.274251i
$105$	−8.91954	+	0.444390i	−0.870458	+	0.0433680i
$106$	4.78541	−	0.688038i	0.464800	−	0.0668281i
$107$	−7.52361	+	6.51925i	−0.727335	+	0.630240i	−0.937725	−	0.347378i	$-0.887072\pi$
$107$	−7.52361	+	6.51925i	−0.727335	+	0.630240i	0.210390	+	0.977618i	$0.432527\pi$
$108$	−0.909632	+	0.415415i	−0.0875294	+	0.0399733i
$109$	−6.72788	−	10.4688i	−0.644414	−	1.00273i	−0.997738	−	0.0672266i	$-0.978585\pi$
$109$	−6.72788	−	10.4688i	−0.644414	−	1.00273i	0.353324	−	0.935501i	$-0.385051\pi$
$110$	0.585008	+	0.0841115i	0.0557783	+	0.00801971i
$111$	−6.75685	−	4.34237i	−0.641332	−	0.412159i
$112$	0.618150	−	2.57253i	0.0584097	−	0.243081i
$113$	0.612677	−	2.08659i	0.0576358	−	0.196290i	−0.925642	−	0.378400i	$-0.876475\pi$
$113$	0.612677	−	2.08659i	0.0576358	−	0.196290i	0.983278	+	0.182110i	$0.0582927\pi$
$114$			3.59266i			0.336483i
$115$	7.20092	+	14.4983i	0.671489	+	1.35197i
$116$	1.77950			0.165223
$117$	0.821223	−	2.79683i	0.0759221	−	0.258567i
$118$	−0.576074	−	0.499171i	−0.0530319	−	0.0459524i
$119$	−1.89017	−	0.176330i	−0.173272	−	0.0161642i
$120$	−3.34109	−	0.480377i	−0.304999	−	0.0438522i
$121$	9.22800	−	5.93047i	0.838909	−	0.539134i
$122$	5.22625	+	11.4439i	0.473163	+	1.03608i
$123$	5.22792	+	6.03334i	0.471385	+	0.544008i
$124$	−4.49039	+	0.645621i	−0.403249	+	0.0579785i
$125$	−1.95421	+	4.27911i	−0.174789	+	0.382736i
$126$	−1.91083	+	1.82995i	−0.170231	+	0.163025i
$127$	1.71742	−	0.504281i	0.152397	−	0.0447477i	−0.204644	−	0.978836i	$-0.565604\pi$
$127$	1.71742	−	0.504281i	0.152397	−	0.0447477i	0.357041	+	0.934089i	$0.383786\pi$
$128$	0.415415	−	0.909632i	0.0367178	−	0.0804009i
$129$	0.0566509	+	0.394016i	0.00498784	+	0.0346912i
$130$	7.43590	−	6.44324i	0.652171	−	0.565110i
$131$	1.24037	−	0.566459i	0.108372	−	0.0494917i	−0.360491	−	0.932763i	$-0.617391\pi$
$131$	1.24037	−	0.566459i	0.108372	−	0.0494917i	0.468863	+	0.883271i	$0.344664\pi$
$132$	0.147299	−	0.0946634i	0.0128207	−	0.00823939i
$133$	3.12846	+	8.97569i	0.271271	+	0.778291i
$134$	−5.26812	+	8.19735i	−0.455096	+	0.708143i
$135$	2.55099	+	2.21045i	0.219555	+	0.190245i
$136$	−0.688455	−	0.202149i	−0.0590346	−	0.0173341i
$137$			1.34711i			0.115092i	0.998343	+	0.0575458i	$0.0183275\pi$
$137$			1.34711i			0.115092i	−0.998343	+	0.0575458i	$0.981672\pi$
$138$	4.42503	+	1.84908i	0.376684	+	0.157404i
$139$			10.2096i			0.865971i	0.901401	+	0.432985i	$0.142540\pi$
$139$			10.2096i			0.865971i	−0.901401	+	0.432985i	$0.857460\pi$
$140$	−8.76550	+	1.70925i	−0.740820	+	0.144458i
$141$	−1.24683	+	1.43892i	−0.105002	+	0.121179i
$142$	0.840922	+	0.540428i	0.0705686	+	0.0453517i
$143$	−0.0726352	+	0.505189i	−0.00607406	+	0.0422460i
$144$	−0.841254	+	0.540641i	−0.0701045	+	0.0450534i
$145$	−2.49524	−	5.46381i	−0.207218	−	0.453745i
$146$	−6.59505	+	5.71464i	−0.545810	+	0.472947i
$147$	−3.18041	+	6.23578i	−0.262316	+	0.514319i
$148$	−7.30606	−	3.33657i	−0.600555	−	0.274264i
$149$	−2.67331	−	9.10445i	−0.219006	−	0.745866i	−0.993555	−	0.113352i	$-0.963841\pi$
$149$	−2.67331	−	9.10445i	−0.219006	−	0.745866i	0.774549	−	0.632514i	$-0.217977\pi$
$150$	1.80130	+	6.13467i	0.147076	+	0.500894i
$151$	1.27434	−	2.79041i	0.103704	−	0.227080i	−0.850666	−	0.525706i	$-0.823801\pi$
$151$	1.27434	−	2.79041i	0.103704	−	0.227080i	0.954370	+	0.298626i	$0.0965283\pi$
$152$	0.511288	+	3.55609i	0.0414710	+	0.288437i
$153$	0.469876	+	0.542265i	0.0379872	+	0.0438396i
$154$	0.285572	−	0.364769i	0.0230120	−	0.0293939i
$155$	8.27881	+	12.8821i	0.664970	+	1.03471i
$156$	0.414834	−	2.88523i	0.0332133	−	0.231003i
$157$	7.29529	+	4.68840i	0.582227	+	0.374175i	0.798352	−	0.602191i	$-0.205705\pi$
$157$	7.29529	+	4.68840i	0.582227	+	0.374175i	−0.216125	+	0.976366i	$0.569342\pi$
$158$	0.584948	+	0.506860i	0.0465360	+	0.0403236i
$159$	−4.63878	−	1.36207i	−0.367879	−	0.108019i
$160$	−3.37545			−0.266853
$161$	12.6654	+	0.766368i	0.998174	+	0.0603982i
$162$	1.00000			0.0785674
$163$	−11.7623	−	3.45373i	−0.921295	−	0.270517i	−0.213507	−	0.976942i	$-0.568489\pi$
$163$	−11.7623	−	3.45373i	−0.921295	−	0.270517i	−0.707788	+	0.706425i	$0.750307\pi$
$164$	6.03334	+	5.22792i	0.471125	+	0.408232i
$165$	−0.497201	−	0.319532i	−0.0387070	−	0.0248755i
$166$	−0.697867	+	4.85377i	−0.0541650	+	0.376726i
$167$	−8.33894	−	12.9756i	−0.645287	−	1.00409i	−0.997670	−	0.0682298i	$-0.978265\pi$
$167$	−8.33894	−	12.9756i	−0.645287	−	1.00409i	0.352383	−	0.935856i	$-0.385371\pi$
$168$	−1.63096	+	2.08326i	−0.125831	+	0.160727i
$169$	−2.94907	−	3.40341i	−0.226851	−	0.261800i
$170$	0.344680	+	2.39730i	0.0264357	+	0.183865i
$171$	1.49244	−	3.26800i	0.114130	−	0.249910i
$172$	0.112149	+	0.381943i	0.00855125	+	0.0291229i
$173$	1.20099	+	4.09019i	0.0913095	+	0.310971i	0.992466	−	0.122523i	$-0.0390985\pi$
$173$	1.20099	+	4.09019i	0.0913095	+	0.310971i	−0.901156	+	0.433495i	$0.857280\pi$
$174$	−1.61869	−	0.739231i	−0.122713	−	0.0560410i
$175$	9.84229	+	13.7580i	0.744007	+	1.04000i
$176$	0.132328	−	0.114663i	0.00997459	−	0.00864303i
$177$	0.316652	+	0.693372i	0.0238011	+	0.0521170i
$178$	−8.42125	+	5.41201i	−0.631199	+	0.405647i
$179$	1.04406	−	7.26163i	0.0780371	−	0.542760i	−0.912874	−	0.408241i	$-0.866142\pi$
$179$	1.04406	−	7.26163i	0.0780371	−	0.542760i	0.990911	−	0.134518i	$-0.0429487\pi$
$180$	2.83961	+	1.82491i	0.211652	+	0.136020i
$181$	8.69371	−	10.0331i	0.646198	−	0.745752i	−0.334260	−	0.942481i	$-0.608486\pi$
$181$	8.69371	−	10.0331i	0.646198	−	0.745752i	0.980458	+	0.196728i	$0.0630317\pi$
$182$	−1.47604	−	7.56953i	−0.109411	−	0.561091i
$183$		−	12.5808i		−	0.929999i
$184$	4.64314	+	1.20052i	0.342297	+	0.0885032i
$185$			27.1112i			1.99326i
$186$	4.35281	+	1.27810i	0.319163	+	0.0937148i
$187$	−0.0949479	−	0.0822728i	−0.00694328	−	0.00601638i
$188$	−1.02936	+	1.60172i	−0.0750739	+	0.116817i
$189$	2.49834	−	0.870792i	0.181728	−	0.0633408i
$190$	10.2017	−	6.55626i	0.740112	−	0.475641i
$191$	22.1512	−	10.1161i	1.60280	−	0.731975i	0.604874	−	0.796321i	$-0.293223\pi$
$191$	22.1512	−	10.1161i	1.60280	−	0.731975i	0.997928	+	0.0643461i	$0.0204962\pi$
$192$	−0.755750	+	0.654861i	−0.0545415	+	0.0472605i
$193$	3.16756	+	22.0309i	0.228006	+	1.58582i	0.706492	+	0.707721i	$0.250276\pi$
$193$	3.16756	+	22.0309i	0.228006	+	1.58582i	−0.478487	+	0.878095i	$0.658814\pi$
$194$	−5.28872	+	11.5807i	−0.379708	+	0.831445i
$195$	−9.44055	+	2.77200i	−0.676052	+	0.198507i
$196$	−2.26060	+	6.62493i	−0.161471	+	0.473209i
$197$	−0.448906	+	0.982966i	−0.0319832	+	0.0700334i	−0.924949	−	0.380090i	$-0.875893\pi$
$197$	−0.448906	+	0.982966i	−0.0319832	+	0.0700334i	0.892966	+	0.450124i	$0.148620\pi$
$198$	−0.173313	+	0.0249186i	−0.0123168	+	0.00177089i
$199$	9.95858	+	11.4928i	0.705945	+	0.814704i	0.989543	−	0.144239i	$-0.0460735\pi$
$199$	9.95858	+	11.4928i	0.705945	+	0.814704i	−0.283598	+	0.958943i	$0.591528\pi$
$200$	2.65602	+	5.81588i	0.187809	+	0.411245i
$201$	8.19735	−	5.26812i	0.578197	−	0.371584i
$202$	−5.81076	−	0.835461i	−0.408843	−	0.0587828i
$203$	−4.68776	−	0.437312i	−0.329016	−	0.0306933i
$204$	0.542265	+	0.469876i	0.0379662	+	0.0328979i
$205$	7.59186	−	25.8555i	0.530239	−	1.80583i
$206$	17.5166			1.22044
$207$	−3.25701	−	3.52021i	−0.226378	−	0.244671i
$208$		−	2.91490i		−	0.202112i
$209$	−0.177225	+	0.603574i	−0.0122589	+	0.0417501i
$210$	8.68343	+	2.08653i	0.599214	+	0.143985i
$211$	13.9720	+	8.97924i	0.961870	+	0.618157i	0.924515	−	0.381145i	$-0.124470\pi$
$211$	13.9720	+	8.97924i	0.961870	+	0.618157i	0.0373553	+	0.999302i	$0.488107\pi$
$212$	−4.78541	−	0.688038i	−0.328663	−	0.0472546i
$213$	−0.540428	−	0.840922i	−0.0370295	−	0.0576191i
$214$	9.05554	−	4.13553i	0.619024	−	0.282699i
$215$	1.01547	−	0.879908i	0.0692544	−	0.0600093i
$216$	0.989821	−	0.142315i	0.0673488	−	0.00968330i
$217$	11.9878	−	0.597256i	0.813782	−	0.0405444i
$218$	3.50596	+	11.9402i	0.237453	+	0.808692i
$219$	8.37301	−	2.45854i	0.565796	−	0.166133i
$220$	−0.537614	−	0.245520i	−0.0362459	−	0.0165530i
$221$	−2.07021	+	0.297651i	−0.139257	+	0.0200222i
$222$	5.25977	+	6.07010i	0.353012	+	0.407398i
$223$	7.74915	−	3.53892i	0.518922	−	0.236984i	−0.138697	−	0.990335i	$-0.544291\pi$
$223$	7.74915	−	3.53892i	0.518922	−	0.236984i	0.657618	+	0.753351i	$0.271564\pi$
$224$	−1.31788	+	2.29417i	−0.0880542	+	0.153286i
$225$	0.909913	−	6.32858i	0.0606608	−	0.421905i
$226$	−1.17572	+	1.82945i	−0.0782076	+	0.121693i
$227$	12.1934	−	14.0719i	0.809303	−	0.933986i	−0.189550	−	0.981871i	$-0.560703\pi$
$227$	12.1934	−	14.0719i	0.809303	−	0.933986i	0.998853	+	0.0478854i	$0.0152482\pi$
$228$	1.01217	−	3.44713i	0.0670325	−	0.228292i
$229$	−27.5786			−1.82245			−0.911223	−	0.411912i	$-0.864861\pi$
$229$	−27.5786			−1.82245			−0.911223	+	0.411912i	$0.864861\pi$
$230$	−2.82459	−	15.9398i	−0.186248	−	1.05104i
$231$	−0.411296	+	0.213174i	−0.0270613	+	0.0140258i
$232$	−1.70742	−	0.501343i	−0.112098	−	0.0329148i
$233$	12.1521	−	14.0243i	0.796112	−	0.918762i	−0.202050	−	0.979375i	$-0.564760\pi$
$233$	12.1521	−	14.0243i	0.796112	−	0.918762i	0.998161	+	0.0606133i	$0.0193056\pi$
$234$	−1.57591	+	2.45217i	−0.103021	+	0.160303i
$235$	6.36132	+	0.914620i	0.414967	+	0.0596632i
$236$	0.412106	+	0.641250i	0.0268258	+	0.0417418i
$237$	−0.321530	−	0.704052i	−0.0208856	−	0.0457331i
$238$	1.76393	+	0.701711i	0.114339	+	0.0454851i
$239$	−0.145711	−	1.01344i	−0.00942527	−	0.0655542i	0.984566	−	0.175014i	$-0.0559970\pi$
$239$	−0.145711	−	1.01344i	−0.00942527	−	0.0655542i	−0.993991	+	0.109460i	$0.965088\pi$
$240$	3.07042	+	1.40221i	0.198195	+	0.0905124i
$241$	12.8561	−	3.77490i	0.828136	−	0.243163i	0.159920	−	0.987130i	$-0.448876\pi$
$241$	12.8561	−	3.77490i	0.828136	−	0.243163i	0.668216	+	0.743967i	$0.267058\pi$
$242$	−10.5250	+	3.09042i	−0.676573	+	0.198660i
$243$	−0.909632	−	0.415415i	−0.0583529	−	0.0266489i
$244$	−1.79043	−	12.4527i	−0.114621	−	0.797205i
$245$	23.5111	−	2.34858i	1.50207	−	0.150045i
$246$	−3.31636	−	7.26182i	−0.211444	−	0.462997i
$247$	5.66172	+	8.80981i	0.360247	+	0.560555i
$248$	4.49039	+	0.645621i	0.285140	+	0.0409970i
$249$	2.65113	−	4.12524i	0.168009	−	0.261427i
$250$	3.08061	−	3.55522i	0.194835	−	0.224852i
$251$	−9.11406	−	2.67613i	−0.575274	−	0.168916i	−0.0188620	−	0.999822i	$-0.506004\pi$
$251$	−9.11406	−	2.67613i	−0.575274	−	0.168916i	−0.556412	+	0.830906i	$0.687822\pi$
$252$	2.34899	−	1.21748i	0.147972	−	0.0766940i
$253$	0.652200	+	0.528937i	0.0410035	+	0.0332540i
$254$	−1.78993			−0.112310
$255$	0.682343	−	2.32385i	0.0427300	−	0.145525i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	9.56557	−	14.8843i	0.596684	−	0.928458i	−0.403227	−	0.915100i	$-0.632112\pi$
$257$	9.56557	−	14.8843i	0.596684	−	0.928458i	0.999911	−	0.0133579i	$-0.00425209\pi$
$258$	0.0566509	−	0.394016i	0.00352693	−	0.0245304i
$259$	18.4265	+	10.5850i	1.14497	+	0.657721i
$260$	−8.94996	+	4.08731i	−0.555053	+	0.253484i
$261$	1.16533	+	1.34486i	0.0721318	+	0.0832446i
$262$	−1.34972	+	0.194060i	−0.0833859	+	0.0119891i
$263$	23.9549	+	10.9398i	1.47712	+	0.674580i	0.981060	−	0.193707i	$-0.0620510\pi$
$263$	23.9549	+	10.9398i	1.47712	+	0.674580i	0.496064	+	0.868286i	$0.334778\pi$
$264$	−0.168002	+	0.0493299i	−0.0103398	+	0.00303605i
$265$	4.59759	+	15.6580i	0.282428	+	0.961861i
$266$	−0.472986	−	9.49350i	−0.0290006	−	0.582084i
$267$	9.90846	−	1.42462i	0.606388	−	0.0871854i
$268$	7.36418	−	6.38110i	0.449839	−	0.389788i
$269$	−17.7376	+	8.10049i	−1.08148	+	0.493896i	−0.874786	−	0.484510i	$-0.838998\pi$
$269$	−17.7376	+	8.10049i	−1.08148	+	0.493896i	−0.206695	+	0.978405i	$0.566271\pi$
$270$	−1.82491	−	2.83961i	−0.111060	−	0.172813i
$271$	−6.82203	−	0.980860i	−0.414409	−	0.0595830i	−0.0680427	−	0.997682i	$-0.521675\pi$
$271$	−6.82203	−	0.980860i	−0.414409	−	0.0595830i	−0.346366	+	0.938099i	$0.612585\pi$
$272$	0.603616	+	0.387921i	0.0365996	+	0.0235211i
$273$	−1.80185	+	7.49866i	−0.109053	+	0.453840i
$274$	0.379526	−	1.29255i	0.0229280	−	0.0780855i
$275$			1.11950i			0.0675082i
$276$	−3.72484	−	3.02086i	−0.224209	−	0.181834i
$277$	−26.5515			−1.59532			−0.797661	−	0.603106i	$-0.793930\pi$
$277$	−26.5515			−1.59532			−0.797661	+	0.603106i	$0.793930\pi$
$278$	2.87639	−	9.79608i	0.172514	−	0.587530i
$279$	−3.42851	−	2.97082i	−0.205259	−	0.177858i
$280$	8.89199	+	0.829515i	0.531398	+	0.0495730i
$281$	30.9627	+	4.45176i	1.84708	+	0.265570i	0.974741	−	0.223337i	$-0.0716950\pi$
$281$	30.9627	+	4.45176i	1.84708	+	0.265570i	0.872336	+	0.488906i	$0.162604\pi$
$282$	1.60172	−	1.02936i	0.0953809	−	0.0612976i
$283$	4.02130	+	8.80542i	0.239041	+	0.523428i	0.990690	−	0.136136i	$-0.0434684\pi$
$283$	4.02130	+	8.80542i	0.239041	+	0.523428i	−0.751649	+	0.659564i	$0.770741\pi$
$284$	−0.654603	−	0.755452i	−0.0388435	−	0.0448278i
$285$	−12.0034	+	1.72583i	−0.711020	+	0.102229i
$286$	0.212021	−	0.464262i	0.0125371	−	0.0274524i
$287$	−14.6089	−	15.2547i	−0.862339	−	0.900454i
$288$	0.959493	−	0.281733i	0.0565387	−	0.0166013i
$289$	−6.84819	+	14.9954i	−0.402834	+	0.882084i
$290$	0.854830	+	5.94548i	0.0501974	+	0.349130i
$291$	9.62158	−	8.33715i	0.564027	−	0.488732i
$292$	7.93790	−	3.62512i	0.464531	−	0.212144i
$293$	−5.46673	+	3.51325i	−0.319370	+	0.205246i	−0.690496	−	0.723336i	$-0.742608\pi$
$293$	−5.46673	+	3.51325i	−0.319370	+	0.205246i	0.371127	+	0.928582i	$0.378972\pi$
$294$	4.80841	−	5.08716i	0.280432	−	0.296689i
$295$	1.39104	−	2.16451i	0.0809897	−	0.126022i
$296$	6.07010	+	5.25977i	0.352817	+	0.305718i
$297$	0.168002	+	0.0493299i	0.00974848	+	0.00286241i
$298$			9.48881i			0.549672i
$299$	13.7649	−	2.43920i	0.796046	−	0.141063i
$300$		−	6.39366i		−	0.369138i
$301$	−0.201572	−	1.03372i	−0.0116184	−	0.0595825i
$302$	−2.00887	+	2.31836i	−0.115597	+	0.133406i
$303$	4.93859	+	3.17384i	0.283714	+	0.182332i
$304$	0.511288	−	3.55609i	0.0293244	−	0.203956i
$305$	−35.7245	+	22.9588i	−2.04558	+	1.31462i
$306$	−0.298069	−	0.652679i	−0.0170394	−	0.0373112i
$307$	5.03113	−	4.35950i	0.287142	−	0.248810i	−0.499364	−	0.866392i	$-0.666433\pi$
$307$	5.03113	−	4.35950i	0.287142	−	0.248810i	0.786506	+	0.617582i	$0.211888\pi$
$308$	−0.376771	+	0.269538i	−0.0214685	+	0.0153584i
$309$	−15.9337	−	7.27668i	−0.906437	−	0.413956i
$310$	−4.31416	−	14.6927i	−0.245028	−	0.834488i
$311$	7.13823	+	24.3106i	0.404772	+	1.37853i	0.869876	+	0.493270i	$0.164199\pi$
$311$	7.13823	+	24.3106i	0.404772	+	1.37853i	−0.465104	+	0.885256i	$0.653983\pi$
$312$	−1.21089	+	2.65149i	−0.0685534	+	0.150111i
$313$	−1.31275	−	9.13040i	−0.0742012	−	0.516081i	−0.992696	−	0.120647i	$-0.961503\pi$
$313$	−1.31275	−	9.13040i	−0.0742012	−	0.516081i	0.918494	−	0.395434i	$-0.129406\pi$
$314$	−5.67890	−	6.55380i	−0.320479	−	0.369852i
$315$	−7.03195	−	5.50521i	−0.396205	−	0.310183i
$316$	−0.418454	−	0.651128i	−0.0235399	−	0.0366288i
$317$	3.08917	−	21.4856i	0.173505	−	1.20675i	−0.697902	−	0.716193i	$-0.745883\pi$
$317$	3.08917	−	21.4856i	0.173505	−	1.20675i	0.871407	−	0.490561i	$-0.163208\pi$
$318$	4.06714	+	2.61379i	0.228074	+	0.146574i
$319$	−0.235478	−	0.204042i	−0.0131842	−	0.0114242i
$320$	3.23872	+	0.950974i	0.181050	+	0.0531611i
$321$	−9.95517			−0.555643
$322$	−11.9365	−	4.30358i	−0.665193	−	0.239829i
$323$	−2.57780			−0.143433
$324$	−0.959493	−	0.281733i	−0.0533052	−	0.0156518i
$325$	14.0848	+	12.2046i	0.781285	+	0.676987i
$326$	10.3128	+	6.62765i	0.571175	+	0.367072i
$327$	1.77100	−	12.3176i	0.0979368	−	0.681165i
$328$	−4.31607	−	6.71594i	−0.238315	−	0.370826i
$329$	3.10528	−	3.96646i	0.171200	−	0.218678i
$330$	0.387038	+	0.446666i	0.0213058	+	0.0245882i
$331$	4.97114	+	34.5750i	0.273238	+	1.90042i	0.413841	+	0.910349i	$0.364187\pi$
$331$	4.97114	+	34.5750i	0.273238	+	1.90042i	−0.140602	+	0.990066i	$0.544904\pi$
$332$	2.03706	−	4.46055i	0.111798	−	0.244804i
$333$	−2.26284	−	7.70654i	−0.124003	−	0.422316i
$334$	4.34549	+	14.7994i	0.237775	+	0.809787i
$335$	−29.9188	−	13.6635i	−1.63464	−	0.746514i
$336$	2.15181	−	1.53938i	0.117391	−	0.0839802i
$337$	−18.5963	+	16.1138i	−1.01301	+	0.877774i	−0.992528	−	0.122016i	$-0.961064\pi$
$337$	−18.5963	+	16.1138i	−1.01301	+	0.877774i	−0.0204772	+	0.999790i	$0.506519\pi$
$338$	1.87076	+	4.09639i	0.101756	+	0.222814i
$339$	1.82945	−	1.17572i	0.0993623	−	0.0638563i
$340$	0.344680	−	2.39730i	0.0186929	−	0.130012i
$341$	0.668233	+	0.429447i	0.0361868	+	0.0232559i
$342$	−2.35269	+	2.71515i	−0.127219	+	0.146818i
$343$	7.58320	−	16.8966i	0.409454	−	0.912331i
$344$		−	0.398068i		−	0.0214624i
$345$	−4.05228	+	15.6727i	−0.218167	+	0.843789i
$346$		−	4.26287i		−	0.229173i
$347$	−12.2942	−	3.60992i	−0.659989	−	0.193790i	−0.0654488	−	0.997856i	$-0.520848\pi$
$347$	−12.2942	−	3.60992i	−0.659989	−	0.193790i	−0.594541	+	0.804066i	$0.702666\pi$
$348$	1.34486	+	1.16533i	0.0720919	+	0.0624680i
$349$	5.27964	−	8.21528i	0.282613	−	0.439754i	−0.670705	−	0.741725i	$-0.734008\pi$
$349$	5.27964	−	8.21528i	0.282613	−	0.439754i	0.953317	+	0.301971i	$0.0976445\pi$
$350$	−5.56754	−	15.9736i	−0.297598	−	0.853823i
$351$	2.45217	−	1.57591i	0.130887	−	0.0841161i
$352$	−0.159272	+	0.0727370i	−0.00848922	+	0.00387690i
$353$	8.07492	−	6.99695i	0.429784	−	0.372410i	−0.412938	−	0.910759i	$-0.635497\pi$
$353$	8.07492	−	6.99695i	0.429784	−	0.372410i	0.842722	+	0.538349i	$0.180952\pi$
$354$	−0.108480	−	0.754497i	−0.00576566	−	0.0401011i
$355$	−1.40166	+	3.06921i	−0.0743924	+	0.162897i
$356$	9.60486	−	2.82024i	0.509057	−	0.149473i
$357$	−1.31303	−	1.37106i	−0.0694927	−	0.0725642i
$358$	−3.04761	+	6.67334i	−0.161071	+	0.352697i
$359$	12.6924	−	1.82489i	0.669879	−	0.0963141i	0.201020	−	0.979587i	$-0.435574\pi$
$359$	12.6924	−	1.82489i	0.669879	−	0.0963141i	0.468859	+	0.883273i	$0.344665\pi$
$360$	−2.21045	−	2.55099i	−0.116501	−	0.134449i
$361$	−2.53105	−	5.54222i	−0.133213	−	0.291696i
$362$	−11.1682	+	7.17736i	−0.586987	+	0.377234i
$363$	10.8577	+	1.56110i	0.569881	+	0.0819365i
$364$	−0.716336	+	7.67876i	−0.0375462	+	0.402477i
$365$	−22.2613	−	19.2895i	−1.16521	−	1.00966i
$366$	−3.54442	+	12.0712i	−0.185270	+	0.630971i
$367$	−30.1613			−1.57441			−0.787205	−	0.616692i	$-0.788472\pi$
$367$	−30.1613			−1.57441			−0.787205	+	0.616692i	$0.788472\pi$
$368$	−4.11684	−	2.46001i	−0.214605	−	0.128237i
$369$			7.98325i			0.415591i
$370$	7.63812	−	26.0130i	0.397087	−	1.35235i
$371$	12.4372	+	2.98852i	0.645706	+	0.155156i
$372$	−3.81640	−	2.45265i	−0.197871	−	0.127164i
$373$	17.7185	+	2.54753i	0.917429	+	0.131906i	0.584824	−	0.811160i	$-0.301163\pi$
$373$	17.7185	+	2.54753i	0.917429	+	0.131906i	0.332605	+	0.943066i	$0.392073\pi$
$374$	0.0679229	+	0.105690i	0.00351221	+	0.00546510i
$375$	−4.27911	+	1.95421i	−0.220972	+	0.100915i
$376$	1.43892	−	1.24683i	0.0742067	−	0.0643004i
$377$	−5.13427	+	0.738197i	−0.264428	+	0.0380191i
$378$	−2.64247	+	0.131654i	−0.135914	+	0.00677153i
$379$	6.29122	+	21.4259i	0.323158	+	1.10058i	0.947588	+	0.319495i	$0.103513\pi$
$379$	6.29122	+	21.4259i	0.323158	+	1.10058i	−0.624430	+	0.781081i	$0.714669\pi$
$380$	−11.6356	+	3.41652i	−0.596894	+	0.175264i
$381$	1.62818	+	0.743563i	0.0834140	+	0.0380939i
$382$	−24.1039	+	3.46562i	−1.23326	+	0.177317i
$383$	−2.39398	−	2.76280i	−0.122326	−	0.141172i	0.691283	−	0.722584i	$-0.257046\pi$
$383$	−2.39398	−	2.76280i	−0.122326	−	0.141172i	−0.813609	+	0.581412i	$0.802500\pi$
$384$	0.909632	−	0.415415i	0.0464195	−	0.0211991i
$385$	1.35591	+	0.778896i	0.0691035	+	0.0396962i
$386$	3.16756	−	22.0309i	0.161224	−	1.12134i
$387$	−0.215212	+	0.334876i	−0.0109398	+	0.0170227i
$388$	8.33715	−	9.62158i	0.423255	−	0.488462i
$389$	1.79388	−	6.10939i	0.0909532	−	0.309758i	−0.901434	−	0.432917i	$-0.857484\pi$
$389$	1.79388	−	6.10939i	0.0909532	−	0.309758i	0.992387	+	0.123159i	$0.0393025\pi$
$390$	9.83910			0.498222
$391$	−1.32675	+	3.17505i	−0.0670968	+	0.160569i
$392$	4.03549	−	5.71969i	0.203823	−	0.288888i
$393$	1.30836	+	0.384170i	0.0659981	+	0.0193788i
$394$	0.707655	−	0.816678i	0.0356512	−	0.0411436i
$395$	−1.41247	+	2.19785i	−0.0710692	+	0.110586i
$396$	0.173313	+	0.0249186i	0.00870929	+	0.00125221i
$397$	16.0249	+	24.9352i	0.804264	+	1.25146i	0.964422	+	0.264368i	$0.0851635\pi$
$397$	16.0249	+	24.9352i	0.804264	+	1.25146i	−0.160157	+	0.987091i	$0.551200\pi$
$398$	−6.31729	−	13.8329i	−0.316657	−	0.693382i
$399$	−3.51350	+	8.83208i	−0.175895	+	0.442157i
$400$	−0.909913	−	6.32858i	−0.0454956	−	0.316429i
$401$	27.1436	+	12.3961i	1.35549	+	0.619029i	0.954817	−	0.297194i	$-0.0960508\pi$
$401$	27.1436	+	12.3961i	1.35549	+	0.619029i	0.400668	+	0.916223i	$0.368778\pi$
$402$	−9.34950	+	2.74526i	−0.466311	+	0.136921i
$403$	12.6880	−	3.72553i	0.632034	−	0.185582i
$404$	5.34000	+	2.43870i	0.265675	+	0.121330i
$405$	0.480377	+	3.34109i	0.0238701	+	0.166020i
$406$	4.37467	+	1.74029i	0.217111	+	0.0863693i
$407$	0.584216	+	1.27925i	0.0289585	+	0.0634103i
$408$	−0.387921	−	0.603616i	−0.0192049	−	0.0298835i
$409$	−2.25959	−	0.324880i	−0.111730	−	0.0160643i	0.0862232	−	0.996276i	$-0.472520\pi$
$409$	−2.25959	−	0.324880i	−0.111730	−	0.0160643i	−0.197953	+	0.980212i	$0.563429\pi$
$410$	−14.5687	+	22.6693i	−0.719496	+	1.11956i
$411$	−0.882171	+	1.01808i	−0.0435143	+	0.0502182i
$412$	−16.8071	−	4.93501i	−0.828026	−	0.243130i
$413$	−0.928031	−	1.79053i	−0.0456654	−	0.0881062i
$414$	2.13332	+	4.29522i	0.104847	+	0.211099i
$415$	−16.5521			−0.812513
$416$	−0.821223	+	2.79683i	−0.0402637	+	0.137126i
$417$	−6.68589	+	7.71593i	−0.327410	+	0.377851i
$418$	0.340093	−	0.529195i	0.0166345	−	0.0258838i
$419$	−3.00492	+	20.8996i	−0.146800	+	1.02101i	0.774615	+	0.632433i	$0.217944\pi$
$419$	−3.00492	+	20.8996i	−0.146800	+	1.02101i	−0.921415	+	0.388581i	$0.872965\pi$
$420$	−7.74385	−	4.44842i	−0.377861	−	0.217061i
$421$	−23.0132	+	10.5098i	−1.12159	+	0.512214i	−0.887872	−	0.460090i	$-0.847817\pi$
$421$	−23.0132	+	10.5098i	−1.12159	+	0.512214i	−0.233720	+	0.972304i	$0.575090\pi$
$422$	−10.8763	−	12.5519i	−0.529448	−	0.611016i
$423$	−1.88459	+	0.270962i	−0.0916317	+	0.0131746i
$424$	4.39772	+	2.00837i	0.213572	+	0.0975352i
$425$	−4.40175	+	1.29247i	−0.213516	+	0.0626940i
$426$	0.281622	+	0.959115i	0.0136446	+	0.0464693i
$427$	1.65631	+	33.2444i	0.0801544	+	1.60881i
$428$	−9.85384	+	1.41677i	−0.476303	+	0.0684821i
$429$	−0.385723	+	0.334231i	−0.0186229	+	0.0161368i
$430$	−1.22223	+	0.558175i	−0.0589413	+	0.0269176i
$431$	14.6033	+	22.7232i	0.703416	+	1.09454i	0.990617	+	0.136666i	$0.0436388\pi$
$431$	14.6033	+	22.7232i	0.703416	+	1.09454i	−0.287201	+	0.957870i	$0.592725\pi$
$432$	−0.989821	−	0.142315i	−0.0476228	−	0.00684713i
$433$	−24.2781	−	15.6026i	−1.16673	−	0.749813i	−0.193831	−	0.981035i	$-0.562091\pi$
$433$	−24.2781	−	15.6026i	−1.16673	−	0.749813i	−0.972901	+	0.231222i	$0.925728\pi$
$434$	−11.6704	−	2.80428i	−0.560199	−	0.134610i
$435$	1.69226	−	5.76330i	0.0811376	−	0.276329i
$436$		−	12.4443i		−	0.595972i
$437$	17.2206	−	0.561310i	0.823774	−	0.0268511i
$438$	−8.72650			−0.416968
$439$	9.50238	−	32.3621i	0.453524	−	1.54456i	−0.342633	−	0.939469i	$-0.611319\pi$
$439$	9.50238	−	32.3621i	0.453524	−	1.54456i	0.796157	−	0.605090i	$-0.206863\pi$
$440$	0.446666	+	0.387038i	0.0212940	+	0.0184513i
$441$	−6.48717	+	2.62996i	−0.308913	+	0.125236i
$442$	2.07021	+	0.297651i	0.0984699	+	0.0141578i
$443$	−4.62981	+	2.97540i	−0.219969	+	0.141366i	−0.645985	−	0.763350i	$-0.723553\pi$
$443$	−4.62981	+	2.97540i	−0.219969	+	0.141366i	0.426016	+	0.904716i	$0.359917\pi$
$444$	−3.33657	−	7.30606i	−0.158346	−	0.346730i
$445$	−22.1274	−	25.5364i	−1.04894	−	1.21054i
$446$	−8.43229	+	1.21238i	−0.399280	+	0.0574079i
$447$	3.94180	−	8.63133i	0.186441	−	0.408248i
$448$	1.91083	−	1.82995i	0.0902784	−	0.0864570i
$449$	−5.27806	+	1.54978i	−0.249087	+	0.0731386i	−0.403893	−	0.914806i	$-0.632343\pi$
$449$	−5.27806	+	1.54978i	−0.249087	+	0.0731386i	0.154806	+	0.987945i	$0.450525\pi$
$450$	−2.65602	+	5.81588i	−0.125206	+	0.274163i
$451$	−0.198931	−	1.38360i	−0.00936731	−	0.0651511i
$452$	1.64351	−	1.42411i	0.0773042	−	0.0669845i
$453$	2.79041	−	1.27434i	0.131105	−	0.0598736i
$454$	−15.6640	+	10.0666i	−0.735147	+	0.472450i
$455$	24.5815	−	8.56781i	1.15240	−	0.401665i
$456$	−1.94234	+	3.02233i	−0.0909582	+	0.141534i
$457$	−17.4633	−	15.1320i	−0.816899	−	0.707847i	0.142532	−	0.989790i	$-0.454476\pi$
$457$	−17.4633	−	15.1320i	−0.816899	−	0.707847i	−0.959431	+	0.281943i	$0.909021\pi$
$458$	26.4615	+	7.76980i	1.23646	+	0.363059i
$459$			0.717520i			0.0334910i
$460$	−1.78058	+	16.0899i	−0.0830198	+	0.750194i
$461$			13.6374i			0.635157i	0.948232	+	0.317579i	$0.102870\pi$
$461$			13.6374i			0.635157i	−0.948232	+	0.317579i	$0.897130\pi$
$462$	0.454693	−	0.0886640i	0.0211543	−	0.00412502i
$463$	−25.9005	+	29.8907i	−1.20370	+	1.38914i	−0.303973	+	0.952681i	$0.598313\pi$
$463$	−25.9005	+	29.8907i	−1.20370	+	1.38914i	−0.899724	+	0.436460i	$0.856232\pi$
$464$	1.49701	+	0.962071i	0.0694970	+	0.0446630i
$465$	−2.17926	+	15.1571i	−0.101061	+	0.702893i
$466$	−15.6110	+	10.0326i	−0.723164	+	0.464750i
$467$	−8.39903	−	18.3913i	−0.388661	−	0.851048i	−0.998295	−	0.0583657i	$-0.981411\pi$
$467$	−8.39903	−	18.3913i	−0.388661	−	0.851048i	0.609634	−	0.792683i	$-0.291316\pi$
$468$	2.20294	−	1.90885i	0.101831	−	0.0882368i
$469$	−20.9677	+	15.0001i	−0.968199	+	0.692639i
$470$	−5.84597	−	2.66976i	−0.269654	−	0.123147i
$471$	2.44316	+	8.32065i	0.112575	+	0.383395i
$472$	−0.214752	−	0.731379i	−0.00988477	−	0.0336644i
$473$	0.0289543	−	0.0634010i	0.00133132	−	0.00291518i
$474$	0.110151	+	0.766119i	0.00505941	+	0.0351890i
$475$	15.0423	+	17.3597i	0.690188	+	0.796519i
$476$	−1.49478	−	1.17024i	−0.0685133	−	0.0536380i
$477$	−2.61379	−	4.06714i	−0.119677	−	0.186221i
$478$	−0.145711	+	1.01344i	−0.00666467	+	0.0463538i
$479$	−27.7805	−	17.8535i	−1.26932	−	0.815746i	−0.279793	−	0.960060i	$-0.590266\pi$
$479$	−27.7805	−	17.8535i	−1.26932	−	0.815746i	−0.989532	+	0.144315i	$0.953902\pi$
$480$	−2.55099	−	2.21045i	−0.116436	−	0.100893i
$481$	22.4638	+	6.59597i	1.02426	+	0.300750i
$482$	−13.3989			−0.610302
$483$	9.07002	+	8.87326i	0.412700	+	0.403747i
$484$	10.9693			0.498606
$485$	−41.2327	−	12.1070i	−1.87228	−	0.549751i
$486$	0.755750	+	0.654861i	0.0342815	+	0.0297051i
$487$	28.0931	+	18.0544i	1.27302	+	0.818122i	0.990010	−	0.140995i	$-0.0450301\pi$
$487$	28.0931	+	18.0544i	1.27302	+	0.818122i	0.283012	+	0.959116i	$0.408666\pi$
$488$	−1.79043	+	12.4527i	−0.0810492	+	0.563709i
$489$	−6.62765	−	10.3128i	−0.299713	−	0.466362i
$490$	−23.2204	−	4.37041i	−1.04899	−	0.197435i
$491$	−16.5456	−	19.0946i	−0.746691	−	0.861727i	0.247553	−	0.968874i	$-0.420374\pi$
$491$	−16.5456	−	19.0946i	−0.746691	−	0.861727i	−0.994243	+	0.107148i	$0.965828\pi$
$492$	1.13614	+	7.90199i	0.0512209	+	0.356249i
$493$	0.530413	−	1.16144i	0.0238886	−	0.0523088i
$494$	−2.95037	−	10.0480i	−0.132743	−	0.452083i
$495$	−0.166511	−	0.567083i	−0.00748410	−	0.0254885i
$496$	−4.12661	−	1.88456i	−0.185290	−	0.0846192i
$497$	1.53878	+	2.15097i	0.0690236	+	0.0964840i
$498$	−3.70596	+	3.21123i	−0.166068	+	0.143899i
$499$	−8.25849	−	18.0836i	−0.369701	−	0.809532i	−0.999464	−	0.0327447i	$-0.989575\pi$
$499$	−8.25849	−	18.0836i	−0.369701	−	0.809532i	0.629763	−	0.776787i	$-0.283152\pi$
$500$	−3.95745	+	2.54330i	−0.176982	+	0.113740i
$501$	2.19509	−	15.2672i	0.0980694	−	0.682087i
$502$	7.99092	+	5.13545i	0.356652	+	0.229207i
$503$	18.8366	−	21.7386i	0.839882	−	0.969276i	−0.159958	−	0.987124i	$-0.551136\pi$
$503$	18.8366	−	21.7386i	0.839882	−	0.969276i	0.999841	+	0.0178479i	$0.00568147\pi$
$504$	−2.59684	+	0.506377i	−0.115672	+	0.0225558i
$505$		−	19.8156i		−	0.881783i
$506$	−0.476763	−	0.691257i	−0.0211947	−	0.0307301i
$507$		−	4.50335i		−	0.200001i
$508$	1.71742	+	0.504281i	0.0761983	+	0.0223738i
$509$	−25.9298	−	22.4683i	−1.14932	−	0.995890i	−0.999975	−	0.00710424i	$-0.997739\pi$
$509$	−25.9298	−	22.4683i	−1.14932	−	0.995890i	−0.149343	−	0.988785i	$-0.547716\pi$
$510$	−1.30941	+	2.03748i	−0.0579815	+	0.0902209i
$511$	−21.8018	+	7.59896i	−0.964455	+	0.336158i
$512$	0.841254	−	0.540641i	0.0371785	−	0.0238932i
$513$	3.26800	−	1.49244i	0.144286	−	0.0658930i
$514$	−13.3715	+	11.5865i	−0.589791	+	0.511057i
$515$	8.41459	+	58.5247i	0.370791	+	2.57891i
$516$	−0.165363	+	0.362095i	−0.00727971	+	0.0159403i
$517$	0.319870	−	0.0939224i	0.0140679	−	0.00413070i
$518$	−14.6979	−	15.3476i	−0.645791	−	0.674335i
$519$	−1.77086	+	3.87764i	−0.0777321	+	0.170210i
$520$	9.73895	−	1.40025i	0.427081	−	0.0614050i
$521$	−28.1434	−	32.4792i	−1.23298	−	1.42294i	−0.871382	−	0.490606i	$-0.836776\pi$
$521$	−28.1434	−	32.4792i	−1.23298	−	1.42294i	−0.361602	−	0.932333i	$-0.617770\pi$
$522$	−0.739231	−	1.61869i	−0.0323553	−	0.0708482i
$523$	23.7653	−	15.2730i	1.03918	−	0.667842i	0.0943978	−	0.995535i	$-0.469907\pi$
$523$	23.7653	−	15.2730i	1.03918	−	0.667842i	0.944784	+	0.327693i	$0.106271\pi$
$524$	1.34972	+	0.194060i	0.0589627	+	0.00847756i
$525$	−1.57124	+	16.8429i	−0.0685745	+	0.735084i
$526$	−19.9025	−	17.2456i	−0.867789	−	0.751943i
$527$	−0.917061	+	3.12322i	−0.0399478	+	0.136050i
$528$	0.175095			0.00762003
$529$	8.17183	−	21.4993i	0.355297	−	0.934754i
$530$		−	16.3190i		−	0.708852i
$531$	−0.214752	+	0.731379i	−0.00931945	+	0.0317391i
$532$	−2.22080	+	9.24220i	−0.0962839	+	0.400700i
$533$	−19.5763	−	12.5809i	−0.847944	−	0.544940i
$534$	−9.90846	−	1.42462i	−0.428781	−	0.0616494i
$535$	18.1672	+	28.2688i	0.785438	+	1.22217i
$536$	−8.86365	+	4.04789i	−0.382851	+	0.174842i
$537$	5.54441	−	4.80426i	0.239259	−	0.207319i
$538$	19.3013	−	2.77511i	0.832137	−	0.119643i
$539$	1.05877	−	0.617456i	0.0456046	−	0.0265957i
$540$	0.950974	+	3.23872i	0.0409234	+	0.139372i
$541$	27.1267	−	7.96511i	1.16627	−	0.342447i	0.359402	−	0.933183i	$-0.382981\pi$
$541$	27.1267	−	7.96511i	1.16627	−	0.342447i	0.806865	+	0.590736i	$0.201163\pi$
$542$	6.26935	+	2.86312i	0.269292	+	0.122981i
$543$	13.1405	−	1.88932i	0.563914	−	0.0810786i
$544$	−0.469876	−	0.542265i	−0.0201457	−	0.0232494i
$545$	−38.2091	+	17.4495i	−1.63670	+	0.747455i
$546$	3.84148	−	6.68727i	0.164400	−	0.286189i
$547$	0.0158180	−	0.110017i	0.000676330	−	0.00470398i	−0.989480	−	0.144666i	$-0.953789\pi$
$547$	0.0158180	−	0.110017i	0.000676330	−	0.00470398i	0.990157	+	0.139962i	$0.0446982\pi$
$548$	−0.728304	+	1.13326i	−0.0311116	+	0.0484106i
$549$	8.23867	−	9.50793i	0.351618	−	0.405789i
$550$	0.315399	−	1.07415i	0.0134486	−	0.0458019i
$551$	−6.39314			−0.272357
$552$	2.72288	+	3.94790i	0.115894	+	0.168034i
$553$	0.942326	+	1.81811i	0.0400718	+	0.0773139i
$554$	25.4759	+	7.48041i	1.08237	+	0.317812i
$555$	−17.7541	+	20.4893i	−0.753619	+	0.869722i
$556$	−5.51975	+	8.58890i	−0.234090	+	0.364250i
$557$	10.0730	+	1.44828i	0.426807	+	0.0613656i	0.352372	−	0.935860i	$-0.385375\pi$
$557$	10.0730	+	1.44828i	0.426807	+	0.0613656i	0.0744357	+	0.997226i	$0.476284\pi$
$558$	2.45265	+	3.81640i	0.103829	+	0.161561i
$559$	−0.482018	−	1.05547i	−0.0203872	−	0.0446417i
$560$	−8.29810	−	3.30108i	−0.350659	−	0.139496i
$561$	−0.0178796	−	0.124355i	−0.000754877	−	0.00525028i
$562$	−28.4543	−	12.9946i	−1.20027	−	0.548145i
$563$	−18.5639	+	5.45087i	−0.782377	+	0.229727i	−0.648443	−	0.761264i	$-0.724579\pi$
$563$	−18.5639	+	5.45087i	−0.782377	+	0.229727i	−0.133934	+	0.990990i	$0.542761\pi$
$564$	−1.82684	+	0.536409i	−0.0769239	+	0.0225869i
$565$	−6.67716	−	3.04936i	−0.280910	−	0.128287i
$566$	−1.37764	−	9.58167i	−0.0579064	−	0.402748i
$567$	2.45837	+	0.977967i	0.103242	+	0.0410707i
$568$	0.415252	+	0.909274i	0.0174236	+	0.0381523i
$569$	10.2664	+	15.9748i	0.430390	+	0.669700i	0.986935	−	0.161118i	$-0.0515098\pi$
$569$	10.2664	+	15.9748i	0.430390	+	0.669700i	−0.556545	+	0.830817i	$0.687873\pi$
$570$	12.0034	+	1.72583i	0.502767	+	0.0722870i
$571$	22.9563	−	35.7207i	0.960690	−	1.49486i	0.0942708	−	0.995547i	$-0.469948\pi$
$571$	22.9563	−	35.7207i	0.960690	−	1.49486i	0.866420	−	0.499317i	$-0.166416\pi$
$572$	−0.334231	+	0.385723i	−0.0139749	+	0.0161279i
$573$	23.3654	+	6.86069i	0.976102	+	0.286609i
$574$	9.71945	+	18.7526i	0.405682	+	0.782717i
$575$	29.1238	−	9.59262i	1.21455	−	0.400040i
$576$	−1.00000			−0.0416667
$577$	12.3976	−	42.2222i	0.516117	−	1.75773i	−0.126936	−	0.991911i	$-0.540514\pi$
$577$	12.3976	−	42.2222i	0.516117	−	1.75773i	0.643053	−	0.765822i	$-0.277668\pi$
$578$	10.7955	−	12.4587i	0.449033	−	0.518212i
$579$	−12.0333	+	18.7241i	−0.500085	+	0.778148i
$580$	0.854830	−	5.94548i	0.0354949	−	0.246872i
$581$	−6.46244	+	11.2499i	−0.268107	+	0.466723i
$582$	−11.5807	+	5.28872i	−0.480035	+	0.219225i
$583$	0.554350	+	0.639754i	0.0229588	+	0.0264959i
$584$	−8.63768	+	1.24191i	−0.357430	+	0.0513906i
$585$	−8.94996	−	4.08731i	−0.370035	−	0.168989i
$586$	6.23508	−	1.83079i	0.257569	−	0.0756291i
$587$	−10.0959	−	34.3833i	−0.416701	−	1.41915i	−0.854205	−	0.519936i	$-0.825956\pi$
$587$	−10.0959	−	34.3833i	−0.416701	−	1.41915i	0.437505	−	0.899216i	$-0.355862\pi$
$588$	−6.04685	+	3.52641i	−0.249368	+	0.145427i
$589$	16.1324	−	2.31949i	0.664725	−	0.0955731i
$590$	−1.94451	+	1.68493i	−0.0800542	+	0.0693674i
$591$	−0.982966	+	0.448906i	−0.0404338	+	0.0184655i
$592$	−4.34237	−	6.75685i	−0.178470	−	0.277705i
$593$	−31.1529	−	4.47911i	−1.27930	−	0.183935i	−0.531042	−	0.847346i	$-0.678199\pi$
$593$	−31.1529	−	4.47911i	−1.27930	−	0.183935i	−0.748256	+	0.663411i	$0.769108\pi$
$594$	−0.147299	−	0.0946634i	−0.00604376	−	0.00388409i
$595$	−1.49713	+	6.23053i	−0.0613763	+	0.255427i
$596$	2.67331	−	9.10445i	0.109503	−	0.372933i
$597$			15.2072i			0.622388i
$598$	−13.8946	−	1.53763i	−0.568191	−	0.0628785i
$599$	28.8731			1.17972			0.589861	−	0.807505i	$-0.299182\pi$
$599$	28.8731			1.17972			0.589861	+	0.807505i	$0.299182\pi$
$600$	−1.80130	+	6.13467i	−0.0735378	+	0.250447i
$601$	−4.43864	−	3.84610i	−0.181056	−	0.156886i	0.559618	−	0.828751i	$-0.310948\pi$
$601$	−4.43864	−	3.84610i	−0.181056	−	0.156886i	−0.740674	+	0.671865i	$0.765493\pi$
$602$	−0.0978250	+	1.04864i	−0.00398705	+	0.0427392i
$603$	9.64503	+	1.38675i	0.392776	+	0.0564726i
$604$	2.58065	−	1.65848i	0.105005	−	0.0674827i
$605$	−15.3813	−	33.6805i	−0.625341	−	1.36931i
$606$	−3.84437	−	4.43663i	−0.156167	−	0.180226i
$607$	2.29623	−	0.330148i	0.0932011	−	0.0134003i	−0.0955565	−	0.995424i	$-0.530463\pi$
$607$	2.29623	−	0.330148i	0.0932011	−	0.0134003i	0.188758	+	0.982024i	$0.439554\pi$
$608$	−1.49244	+	3.26800i	−0.0605266	+	0.132535i
$609$	−3.25640	−	3.40033i	−0.131956	−	0.137788i
$610$	40.7457	−	11.9640i	1.64974	−	0.484409i
$611$	2.30550	−	5.04834i	0.0932705	−	0.204234i
$612$	0.102114	+	0.710217i	0.00412770	+	0.0287088i
$613$	28.1549	−	24.3963i	1.13716	−	0.985358i	0.137178	−	0.990546i	$-0.456197\pi$
$613$	28.1549	−	24.3963i	1.13716	−	0.985358i	0.999987	+	0.00518796i	$0.00165139\pi$
$614$	−6.05555	+	2.76548i	−0.244382	+	0.111606i
$615$	22.6693	−	14.5687i	0.914115	−	0.587466i
$616$	0.437447	−	0.152471i	0.0176252	−	0.00614324i
$617$	−25.0502	+	38.9789i	−1.00848	+	1.56923i	−0.200784	+	0.979636i	$0.564349\pi$
$617$	−25.0502	+	38.9789i	−1.00848	+	1.56923i	−0.807699	+	0.589595i	$0.799287\pi$
$618$	13.2382	+	11.4710i	0.532518	+	0.461430i
$619$	2.67744	+	0.786166i	0.107615	+	0.0315987i	0.335097	−	0.942184i	$-0.391231\pi$
$619$	2.67744	+	0.786166i	0.107615	+	0.0315987i	−0.227482	+	0.973782i	$0.573049\pi$
$620$			15.3130i			0.614983i
$621$	−0.156238	−	4.79329i	−0.00626962	−	0.192348i
$622$		−	25.3369i		−	1.01592i
$623$	−25.9953	+	5.06901i	−1.04148	+	0.203086i
$624$	1.90885	−	2.20294i	0.0764153	−	0.0881880i
$625$	−13.5353	−	8.69860i	−0.541411	−	0.347944i
$626$	−1.31275	+	9.13040i	−0.0524682	+	0.364924i
$627$	−0.529195	+	0.340093i	−0.0211340	+	0.0135820i
$628$	3.60245	+	7.88826i	0.143753	+	0.314776i
$629$	−4.35541	+	3.77399i	−0.173662	+	0.150479i
$630$	5.19611	+	7.26334i	0.207018	+	0.289378i
$631$	−2.08583	−	0.952569i	−0.0830358	−	0.0379212i	0.373464	−	0.927645i	$-0.378170\pi$
$631$	−2.08583	−	0.952569i	−0.0830358	−	0.0379212i	−0.456500	+	0.889723i	$0.650897\pi$
$632$	0.218060	+	0.742645i	0.00867397	+	0.0295408i
$633$	4.67916	+	15.9358i	0.185980	+	0.633389i
$634$	−9.01724	+	19.7450i	−0.358120	+	0.784174i
$635$	−0.859839	−	5.98031i	−0.0341217	−	0.237321i
$636$	−3.16600	−	3.65376i	−0.125540	−	0.144881i
$637$	3.77411	−	20.0522i	0.149536	−	0.794498i
$638$	0.168454	+	0.262119i	0.00666914	+	0.0103774i
$639$	0.142259	−	0.989432i	0.00562767	−	0.0391413i
$640$	−2.83961	−	1.82491i	−0.112245	−	0.0721357i
$641$	−36.3976	−	31.5387i	−1.43762	−	1.24570i	−0.921043	−	0.389462i	$-0.872661\pi$
$641$	−36.3976	−	31.5387i	−1.43762	−	1.24570i	−0.516576	−	0.856242i	$-0.672794\pi$
$642$	9.55191	+	2.80470i	0.376984	+	0.110692i
$643$	−20.3574			−0.802819			−0.401410	−	0.915899i	$-0.631480\pi$
$643$	−20.3574			−0.802819			−0.401410	+	0.915899i	$0.631480\pi$
$644$	10.2405	+	7.49215i	0.403532	+	0.295232i
$645$	1.34366			0.0529065
$646$	2.47338	+	0.726251i	0.0973140	+	0.0285740i
$647$	−17.3496	−	15.0335i	−0.682083	−	0.591028i	0.243351	−	0.969938i	$-0.421753\pi$
$647$	−17.3496	−	15.0335i	−0.682083	−	0.591028i	−0.925433	+	0.378910i	$0.876299\pi$
$648$	0.841254	+	0.540641i	0.0330476	+	0.0212384i
$649$	0.0189943	−	0.132109i	0.000745593	−	0.00518571i
$650$	−10.0759	−	15.6783i	−0.395208	−	0.614955i
$651$	9.45086	+	7.39894i	0.370409	+	0.289987i
$652$	−8.02786	−	9.26464i	−0.314395	−	0.362831i
$653$	−0.892250	−	6.20573i	−0.0349164	−	0.242849i	0.964887	−	0.262665i	$-0.0846012\pi$
$653$	−0.892250	−	6.20573i	−0.0349164	−	0.242849i	−0.999804	+	0.0198154i	$0.993692\pi$
$654$	−5.16954	+	11.3197i	−0.202145	+	0.442635i
$655$	−1.29675	−	4.41631i	−0.0506680	−	0.172560i
$656$	2.24914	+	7.65987i	0.0878142	+	0.299068i
$657$	7.93790	+	3.62512i	0.309687	+	0.141429i
$658$	−4.09698	+	2.93093i	−0.159717	+	0.114260i
$659$	−25.2874	+	21.9117i	−0.985058	+	0.853558i	−0.989221	−	0.146433i	$-0.953221\pi$
$659$	−25.2874	+	21.9117i	−0.985058	+	0.853558i	0.00416210	+	0.999991i	$0.498675\pi$
$660$	−0.245520	−	0.537614i	−0.00955686	−	0.0209266i
$661$	−3.14836	+	2.02333i	−0.122457	+	0.0786984i	−0.600435	−	0.799673i	$-0.705006\pi$
$661$	−3.14836	+	2.02333i	−0.122457	+	0.0786984i	0.477978	+	0.878372i	$0.341370\pi$
$662$	4.97114	−	34.5750i	0.193209	−	1.34380i
$663$	−1.75948	−	1.13075i	−0.0683326	−	0.0439147i
$664$	−3.21123	+	3.70596i	−0.124620	+	0.143819i
$665$	31.4914	−	6.14075i	1.22119	−	0.238128i
$666$			8.03189i			0.311229i
$667$	−3.29045	+	7.87434i	−0.127407	+	0.304896i
$668$		−	15.4242i		−	0.596779i
$669$	8.17392	+	2.40008i	0.316022	+	0.0927924i
$670$	24.8574	+	21.5391i	0.960326	+	0.832127i
$671$	−1.19094	+	1.85314i	−0.0459758	+	0.0715397i
$672$	−2.49834	+	0.870792i	−0.0963757	+	0.0335915i
$673$	18.4048	−	11.8280i	0.709453	−	0.455938i	−0.135501	−	0.990777i	$-0.543264\pi$
$673$	18.4048	−	11.8280i	0.709453	−	0.455938i	0.844954	+	0.534840i	$0.179628\pi$
$674$	22.3828	−	10.2219i	0.862153	−	0.393732i
$675$	4.83200	−	4.18696i	0.185984	−	0.161156i
$676$	−0.640894	−	4.45751i	−0.0246498	−	0.171443i
$677$	10.0929	−	22.1004i	0.387901	−	0.849386i	−0.610454	−	0.792052i	$-0.709013\pi$
$677$	10.0929	−	22.1004i	0.387901	−	0.849386i	0.998355	−	0.0573336i	$-0.0182599\pi$
$678$	−2.08659	+	0.612677i	−0.0801349	+	0.0235297i
$679$	−24.3272	+	23.2974i	−0.933591	+	0.894073i
$680$	−1.00612	+	2.20308i	−0.0385828	+	0.0844845i
$681$	18.4303	−	2.64988i	0.706250	−	0.101543i
$682$	−0.520175	−	0.600314i	−0.0199185	−	0.0229872i
$683$	9.74007	+	21.3278i	0.372694	+	0.816085i	0.999324	+	0.0367684i	$0.0117064\pi$
$683$	9.74007	+	21.3278i	0.372694	+	0.816085i	−0.626630	+	0.779317i	$0.715566\pi$
$684$	3.02233	−	1.94234i	0.115562	−	0.0742671i
$685$	4.50083	+	0.647121i	0.171968	+	0.0247252i
$686$	−12.0363	+	14.0757i	−0.459550	+	0.537414i
$687$	−20.8425	−	18.0602i	−0.795192	−	0.689038i
$688$	−0.112149	+	0.381943i	−0.00427563	+	0.0145614i
$689$	14.0924			0.536879
$690$	8.30364	−	13.8962i	0.316114	−	0.529018i
$691$		−	20.9245i		−	0.796004i	−0.917385	−	0.398002i	$-0.869704\pi$
$691$		−	20.9245i		−	0.796004i	0.917385	−	0.398002i	$-0.130296\pi$
$692$	−1.20099	+	4.09019i	−0.0456547	+	0.155486i
$693$	−0.450436	−	0.108235i	−0.0171107	−	0.00411150i
$694$	10.7792	+	6.92738i	0.409173	+	0.262960i
$695$	34.1114	+	4.90447i	1.29392	+	0.186037i
$696$	−0.962071	−	1.49701i	−0.0364672	−	0.0567441i
$697$	5.21050	−	2.37956i	0.197362	−	0.0901321i
$698$	−7.38029	+	6.39506i	−0.279348	+	0.242056i
$699$	18.3679	−	2.64091i	0.694738	−	0.0998883i
$700$	0.841748	+	16.8951i	0.0318151	+	0.638574i
$701$	8.65868	+	29.4887i	0.327034	+	1.11377i	0.944864	+	0.327463i	$0.106194\pi$
$701$	8.65868	+	29.4887i	0.327034	+	1.11377i	−0.617830	+	0.786312i	$0.711988\pi$
$702$	−2.79683	+	0.821223i	−0.105559	+	0.0309950i
$703$	26.2482	+	11.9871i	0.989968	+	0.452103i
$704$	0.173313	−	0.0249186i	0.00653197	−	0.000939155i
$705$	4.20862	+	4.85700i	0.158506	+	0.182925i
$706$	−9.71909	+	4.43856i	−0.365783	+	0.167047i
$707$	−13.4679	−	7.73660i	−0.506514	−	0.290965i
$708$	−0.108480	+	0.754497i	−0.00407694	+	0.0283557i
$709$	−1.83564	+	2.85631i	−0.0689389	+	0.107271i	−0.874011	−	0.485905i	$-0.838490\pi$
$709$	−1.83564	+	2.85631i	−0.0689389	+	0.107271i	0.805073	+	0.593176i	$0.202126\pi$
$710$	2.20958	−	2.54999i	0.0829240	−	0.0956994i
$711$	0.218060	−	0.742645i	0.00817789	−	0.0278513i
$712$	−10.0104			−0.375154
$713$	5.44622	−	21.0639i	0.203962	−	0.788850i
$714$	0.873566	+	1.68545i	0.0326924	+	0.0630762i
$715$	1.65299	+	0.485362i	0.0618184	+	0.0181515i
$716$	4.80426	−	5.54441i	0.179544	−	0.207204i
$717$	0.553543	−	0.861330i	0.0206724	−	0.0321670i
$718$	−12.6924	−	1.82489i	−0.473676	−	0.0681043i
$719$	17.2314	+	26.8125i	0.642621	+	0.999938i	0.997874	+	0.0651681i	$0.0207584\pi$
$719$	17.2314	+	26.8125i	0.642621	+	0.999938i	−0.355253	+	0.934770i	$0.615605\pi$
$720$	1.40221	+	3.07042i	0.0522574	+	0.114428i
$721$	43.0624	+	17.1307i	1.60373	+	0.637981i
$722$	0.867099	+	6.03080i	0.0322701	+	0.224443i
$723$	12.1881	+	5.56610i	0.453279	+	0.207005i
$724$	12.7379	−	3.74019i	0.473400	−	0.139003i
$725$	−10.9167	+	3.20542i	−0.405434	+	0.119046i
$726$	−9.97806	−	4.55683i	−0.370321	−	0.169120i
$727$	5.26440	+	36.6147i	0.195246	+	1.35796i	0.817852	+	0.575428i	$0.195165\pi$
$727$	5.26440	+	36.6147i	0.195246	+	1.35796i	−0.622607	+	0.782535i	$0.713926\pi$
$728$	2.85068	−	7.16590i	0.105653	−	0.265586i
$729$	−0.415415	−	0.909632i	−0.0153857	−	0.0336901i
$730$	15.9250	+	24.7798i	0.589412	+	0.917143i
$731$	0.282714	+	0.0406482i	0.0104566	+	0.00150343i
$732$	6.80169	−	10.5836i	0.251398	−	0.391183i
$733$	−2.70990	+	3.12739i	−0.100092	+	0.115513i	−0.803586	−	0.595189i	$-0.797077\pi$
$733$	−2.70990	+	3.12739i	−0.100092	+	0.115513i	0.703493	+	0.710702i	$0.251623\pi$
$734$	28.9396	+	8.49743i	1.06818	+	0.313646i
$735$	19.3065	+	13.6216i	0.712132	+	0.502440i
$736$	3.25701	+	3.52021i	0.120055	+	0.129757i
$737$	−1.70616			−0.0628472
$738$	2.24914	−	7.65987i	0.0827921	−	0.281964i
$739$	11.8171	−	13.6377i	0.434700	−	0.501670i	−0.495559	−	0.868574i	$-0.665037\pi$
$739$	11.8171	−	13.6377i	0.434700	−	0.501670i	0.930259	+	0.366904i	$0.119582\pi$
$740$	−14.6574	+	22.8074i	−0.538818	+	0.838417i
$741$	−1.49035	+	10.3656i	−0.0547496	+	0.380792i
$742$	−11.0914	−	6.37142i	−0.407179	−	0.233902i
$743$	11.7707	−	5.37550i	0.431825	−	0.197208i	−0.187630	−	0.982240i	$-0.560081\pi$
$743$	11.7707	−	5.37550i	0.431825	−	0.197208i	0.619455	+	0.785032i	$0.287353\pi$
$744$	2.97082	+	3.42851i	0.108916	+	0.125695i
$745$	−31.7030	+	4.55820i	−1.16151	+	0.167000i
$746$	−16.2830	−	7.43622i	−0.596165	−	0.272259i
$747$	4.70505	−	1.38153i	0.172149	−	0.0505474i
$748$	−0.0353952	−	0.120545i	−0.00129418	−	0.00440756i
$749$	26.3063	−	1.31063i	0.961210	−	0.0478895i
$750$	4.65634	−	0.669481i	0.170026	−	0.0244460i
$751$	−10.5825	+	9.16980i	−0.386161	+	0.334611i	−0.826209	−	0.563364i	$-0.809507\pi$
$751$	−10.5825	+	9.16980i	−0.386161	+	0.334611i	0.440048	+	0.897974i	$0.354962\pi$
$752$	−1.73191	+	0.790936i	−0.0631562	+	0.0288425i
$753$	−5.13545	−	7.99092i	−0.187146	−	0.291205i
$754$	5.13427	+	0.738197i	0.186979	+	0.0268835i
$755$	−8.71085	−	5.59813i	−0.317020	−	0.203737i
$756$	2.57253	+	0.618150i	0.0935619	+	0.0224819i
$757$	−14.0604	+	47.8854i	−0.511035	+	1.74042i	0.148659	+	0.988889i	$0.452504\pi$
$757$	−14.0604	+	47.8854i	−0.511035	+	1.74042i	−0.659693	+	0.751535i	$0.729314\pi$
$758$		−	22.3305i		−	0.811079i
$759$	0.146520	+	0.826844i	0.00531834	+	0.0300125i
$760$	12.1268			0.439886
$761$	−4.15326	+	14.1447i	−0.150555	+	0.512745i	−0.999886	−	0.0151171i	$-0.995188\pi$
$761$	−4.15326	+	14.1447i	−0.150555	+	0.512745i	0.849330	+	0.527862i	$0.177006\pi$
$762$	−1.35274	−	1.17215i	−0.0490045	−	0.0424626i
$763$	−3.05817	+	32.7821i	−0.110713	+	1.18679i
$764$	24.1039	+	3.46562i	0.872049	+	0.125382i
$765$	2.03748	−	1.30941i	0.0736651	−	0.0473417i
$766$	1.51863	+	3.32534i	0.0548705	+	0.120150i
$767$	−1.45503	−	1.67920i	−0.0525383	−	0.0606324i
$768$	−0.989821	+	0.142315i	−0.0357171	+	0.00513534i
$769$	−0.533059	+	1.16724i	−0.0192226	+	0.0420916i	−0.919000	−	0.394258i	$-0.871002\pi$
$769$	−0.533059	+	1.16724i	−0.0192226	+	0.0420916i	0.899777	+	0.436350i	$0.143729\pi$
$770$	−1.08154	−	1.12935i	−0.0389761	−	0.0406989i
$771$	16.9763	−	4.98470i	0.611387	−	0.179520i
$772$	−9.24606	+	20.2460i	−0.332773	+	0.728671i
$773$	0.602413	+	4.18987i	0.0216673	+	0.150699i	0.997783	−	0.0665523i	$-0.0211999\pi$
$773$	0.602413	+	4.18987i	0.0216673	+	0.150699i	−0.976116	+	0.217252i	$0.930291\pi$
$774$	0.300840	−	0.260679i	0.0108135	−	0.00936991i
$775$	26.3841	−	12.0492i	0.947746	−	0.432821i
$776$	−10.7101	+	6.88299i	−0.384472	+	0.247085i
$777$	6.99410	+	20.0664i	0.250912	+	0.719879i
$778$	−3.44243	+	5.35652i	−0.123417	+	0.192041i
$779$	−21.6757	−	18.7821i	−0.776613	−	0.672939i
$780$	−9.44055	−	2.77200i	−0.338026	−	0.0992533i
$781$			0.175026i			0.00626292i
$782$	2.16753	−	2.67265i	0.0775105	−	0.0955736i
$783$			1.77950i			0.0635942i
$784$	−5.48344	+	4.35107i	−0.195837	+	0.155395i
$785$	19.1688	−	22.1220i	0.684165	−	0.789569i
$786$	−1.14713	−	0.737216i	−0.0409168	−	0.0262956i
$787$	−3.96829	+	27.6001i	−0.141454	+	0.983836i	0.788204	+	0.615414i	$0.211011\pi$
$787$	−3.96829	+	27.6001i	−0.141454	+	0.983836i	−0.929658	+	0.368423i	$0.879898\pi$
$788$	−0.909075	+	0.584227i	−0.0323845	+	0.0208122i
$789$	10.9398	+	23.9549i	0.389469	+	0.852818i
$790$	1.97446	−	1.71088i	0.0702482	−	0.0608704i
$791$	−4.67950	+	3.34766i	−0.166384	+	0.119029i
$792$	−0.159272	−	0.0727370i	−0.00565948	−	0.00258460i
$793$	10.3316	+	35.1863i	0.366887	+	1.24950i
$794$	−8.35069	−	28.4398i	−0.296355	−	1.00929i
$795$	−6.77916	+	14.8443i	−0.240432	+	0.526473i
$796$	2.16421	+	15.0524i	0.0767083	+	0.533518i
$797$	−1.29398	−	1.49333i	−0.0458351	−	0.0528966i	0.732369	−	0.680908i	$-0.238415\pi$
$797$	−1.29398	−	1.49333i	−0.0458351	−	0.0528966i	−0.778204	+	0.628011i	$0.783869\pi$
$798$	5.85946	−	7.48445i	0.207423	−	0.264947i
$799$	0.738587	+	1.14926i	0.0261293	+	0.0406580i
$800$	−0.909913	+	6.32858i	−0.0321703	+	0.223749i
$801$	8.42125	+	5.41201i	0.297550	+	0.191224i
$802$	−22.5517	−	19.5412i	−0.796328	−	0.690022i
$803$	−1.46607	−	0.430478i	−0.0517366	−	0.0151912i
$804$	9.74421			0.343652
$805$	8.64467	−	41.9482i	0.304685	−	1.47848i
$806$	−13.2236			−0.465783
$807$	−18.7099	−	5.49372i	−0.658619	−	0.193388i
$808$	−4.43663	−	3.84437i	−0.156080	−	0.135244i
$809$	34.5384	+	22.1965i	1.21431	+	0.780386i	0.981374	−	0.192107i	$-0.0615320\pi$
$809$	34.5384	+	22.1965i	1.21431	+	0.780386i	0.232931	+	0.972493i	$0.425168\pi$
$810$	0.480377	−	3.34109i	0.0168787	−	0.117394i
$811$	5.74109	+	8.93332i	0.201597	+	0.313691i	0.927301	−	0.374316i	$-0.122122\pi$
$811$	5.74109	+	8.93332i	0.201597	+	0.313691i	−0.725704	+	0.688007i	$0.758486\pi$
$812$	−3.70717	−	2.90229i	−0.130096	−	0.101850i
$813$	−4.51342	−	5.20876i	−0.158293	−	0.182679i
$814$	−0.200143	−	1.39203i	−0.00701502	−	0.0487905i
$815$	−17.1896	+	37.6399i	−0.602124	+	1.31847i
$816$	0.202149	+	0.688455i	0.00707662	+	0.0241008i
$817$	−0.402912	−	1.37219i	−0.0140961	−	0.0480069i
$818$	2.07653	+	0.948320i	0.0726042	+	0.0331572i
$819$	−6.27232	+	4.48715i	−0.219173	+	0.156794i
$820$	20.3652	−	17.6466i	0.711185	−	0.616245i
$821$	−7.94336	−	17.3935i	−0.277225	−	0.607039i	0.718887	−	0.695126i	$-0.244652\pi$
$821$	−7.94336	−	17.3935i	−0.277225	−	0.607039i	−0.996113	+	0.0880879i	$0.971924\pi$
$822$	1.13326	−	0.728304i	0.0395271	−	0.0254025i
$823$	3.85878	−	26.8384i	0.134509	−	0.935528i	−0.805066	−	0.593185i	$-0.797870\pi$
$823$	3.85878	−	26.8384i	0.134509	−	0.935528i	0.939575	−	0.342343i	$-0.111221\pi$
$824$	14.7359	+	9.47022i	0.513351	+	0.329911i
$825$	−0.733114	+	0.846059i	−0.0255238	+	0.0294560i
$826$	0.385989	+	1.97946i	0.0134303	+	0.0688741i
$827$		−	48.6487i		−	1.69168i	−0.533436	−	0.845840i	$-0.679100\pi$
$827$		−	48.6487i		−	1.69168i	0.533436	−	0.845840i	$-0.320900\pi$
$828$	−0.836804	−	4.72226i	−0.0290809	−	0.164110i
$829$		−	53.0952i		−	1.84407i	−0.387103	−	0.922036i	$-0.626524\pi$
$829$		−	53.0952i		−	1.84407i	0.387103	−	0.922036i	$-0.373476\pi$
$830$	15.8817	+	4.66328i	0.551260	+	0.161865i
$831$	−20.0662	−	17.3875i	−0.696090	−	0.603166i
$832$	1.57591	−	2.45217i	0.0546350	−	0.0850137i
$833$	3.65014	+	3.45013i	0.126470	+	0.119540i
$834$	8.58890	−	5.51975i	0.297409	−	0.191133i
$835$	−47.3587	+	21.6280i	−1.63891	+	0.748467i
$836$	−0.475409	+	0.411944i	−0.0164423	+	0.0142474i
$837$	−0.645621	−	4.49039i	−0.0223159	−	0.155211i
$838$	8.77131	−	19.2065i	0.303000	−	0.663477i
$839$	23.9839	−	7.04232i	0.828017	−	0.243128i	0.159852	−	0.987141i	$-0.448898\pi$
$839$	23.9839	−	7.04232i	0.828017	−	0.243128i	0.668165	+	0.744013i	$0.267080\pi$
$840$	6.17690	+	6.44992i	0.213123	+	0.222543i
$841$	−10.7316	+	23.4989i	−0.370054	+	0.810306i
$842$	25.0419	−	3.60048i	0.863001	−	0.124081i
$843$	20.4847	+	23.6406i	0.705532	+	0.814227i
$844$	6.89943	+	15.1076i	0.237488	+	0.520026i
$845$	−12.7878	+	8.21819i	−0.439912	+	0.282714i
$846$	1.88459	+	0.270962i	0.0647934	+	0.00931588i
$847$	−28.8967	−	2.69571i	−0.992902	−	0.0926257i
$848$	−3.65376	−	3.16600i	−0.125471	−	0.108721i
$849$	−2.72723	+	9.28808i	−0.0935982	+	0.318766i
$850$	4.58758			0.157353
$851$	28.2739	−	26.1600i	0.969218	−	0.896752i
$852$		−	0.999606i		−	0.0342460i
$853$	−9.53118	+	32.4602i	−0.326341	+	1.11142i	0.619015	+	0.785379i	$0.287532\pi$
$853$	−9.53118	+	32.4602i	−0.326341	+	1.11142i	−0.945357	+	0.326038i	$0.894286\pi$
$854$	7.77682	−	32.3644i	0.266117	−	1.10749i
$855$	−10.2017	−	6.55626i	−0.348892	−	0.224219i
$856$	9.85384	+	1.41677i	0.336797	+	0.0484241i
$857$	−20.0544	−	31.2053i	−0.685046	−	1.06595i	−0.993402	−	0.114681i	$-0.963415\pi$
$857$	−20.0544	−	31.2053i	−0.685046	−	1.06595i	0.308357	−	0.951271i	$-0.400221\pi$
$858$	0.464262	−	0.212021i	0.0158496	−	0.00723829i
$859$	−4.83750	+	4.19172i	−0.165053	+	0.143020i	−0.733471	−	0.679720i	$-0.762101\pi$
$859$	−4.83750	+	4.19172i	−0.165053	+	0.143020i	0.568418	+	0.822740i	$0.307556\pi$
$860$	1.32998	−	0.191222i	0.0453520	−	0.00652063i
$861$	−1.05102	−	21.0955i	−0.0358188	−	0.718934i
$862$	−7.60990	−	25.9169i	−0.259194	−	0.882735i
$863$	38.3605	−	11.2636i	1.30581	−	0.383419i	0.446455	−	0.894806i	$-0.352686\pi$
$863$	38.3605	−	11.2636i	1.30581	−	0.383419i	0.859350	+	0.511387i	$0.170868\pi$
$864$	0.909632	+	0.415415i	0.0309463	+	0.0141327i
$865$	14.2426	−	2.04778i	0.484264	−	0.0696267i
$866$	18.8989	+	21.8105i	0.642212	+	0.741152i
$867$	−14.9954	+	6.84819i	−0.509272	+	0.232577i
$868$	10.4076	+	5.97863i	0.353259	+	0.202928i
$869$	−0.0192869	+	0.134143i	−0.000654264	+	0.00455051i
$870$	−3.24742	+	5.05309i	−0.110098	+	0.171316i
$871$	−18.6003	+	21.4659i	−0.630246	+	0.727343i
$872$	−3.50596	+	11.9402i	−0.118727	+	0.404346i
$873$	12.7312			0.430885
$874$	−16.6812	−	4.31304i	−0.564250	−	0.145891i
$875$	11.0502	−	5.72730i	0.373564	−	0.193618i
$876$	8.37301	+	2.45854i	0.282898	+	0.0830663i
$877$	16.3675	−	18.8891i	0.552690	−	0.637838i	−0.408818	−	0.912616i	$-0.634059\pi$
$877$	16.3675	−	18.8891i	0.552690	−	0.637838i	0.961508	+	0.274778i	$0.0886043\pi$
$878$	−18.2349	+	28.3741i	−0.615399	+	0.957579i
$879$	−6.43217	−	0.924806i	−0.216952	−	0.0311929i
$880$	−0.319532	−	0.497201i	−0.0107714	−	0.0167606i
$881$	24.0316	+	52.6220i	0.809647	+	1.77288i	0.608920	+	0.793232i	$0.291603\pi$
$881$	24.0316	+	52.6220i	0.809647	+	1.77288i	0.200727	+	0.979647i	$0.435670\pi$
$882$	6.96533	−	0.695783i	0.234535	−	0.0234282i
$883$	−2.28675	−	15.9047i	−0.0769553	−	0.535236i	−0.991435	−	0.130603i	$-0.958309\pi$
$883$	−2.28675	−	15.9047i	−0.0769553	−	0.535236i	0.914479	−	0.404632i	$-0.132601\pi$
$884$	−1.90249	−	0.868840i	−0.0639878	−	0.0292223i
$885$	2.46873	−	0.724885i	0.0829855	−	0.0243667i
$886$	5.28054	−	1.55051i	0.177403	−	0.0520903i
$887$	5.73292	+	2.61813i	0.192492	+	0.0879084i	0.509329	−	0.860572i	$-0.329894\pi$
$887$	5.73292	+	2.61813i	0.192492	+	0.0879084i	−0.316837	+	0.948480i	$0.602621\pi$
$888$	1.14306	+	7.95013i	0.0383585	+	0.266789i
$889$	−4.40030	−	1.75049i	−0.147581	−	0.0587095i
$890$	14.0366	+	30.7360i	0.470509	+	1.03027i
$891$	0.0946634	+	0.147299i	0.00317134	+	0.00493471i
$892$	8.43229	+	1.21238i	0.282334	+	0.0405935i
$893$	3.69814	−	5.75442i	0.123754	−	0.192564i
$894$	−6.21385	+	7.17117i	−0.207822	+	0.239840i
$895$	−23.7602	−	6.97663i	−0.794217	−	0.233203i
$896$	−2.34899	+	1.21748i	−0.0784742	+	0.0406731i
$897$	12.0002	+	7.17069i	0.400674	+	0.239422i
$898$	5.50088			0.183567
$899$	−2.27438	+	7.74582i	−0.0758548	+	0.258338i
$900$	4.18696	−	4.83200i	0.139565	−	0.161067i
$901$	−1.87545	+	2.91825i	−0.0624802	+	0.0972211i
$902$	−0.198931	+	1.38360i	−0.00662369	+	0.0460688i
$903$	0.524604	−	0.913234i	0.0174577	−	0.0303905i
$904$	−1.97815	+	0.903393i	−0.0657924	+	0.0300464i
$905$	−29.3452	−	33.8661i	−0.975466	−	1.12575i
$906$	−3.03640	+	0.436569i	−0.100878	+	0.0145040i
$907$	−24.4048	−	11.1453i	−0.810349	−	0.370074i	−0.0332458	−	0.999447i	$-0.510584\pi$
$907$	−24.4048	−	11.1453i	−0.810349	−	0.370074i	−0.777103	+	0.629373i	$0.783312\pi$
$908$	17.8656	−	5.24581i	0.592890	−	0.174088i
$909$	1.65391	+	5.63271i	0.0548568	+	0.186825i
$910$	−25.9996	+	1.29535i	−0.861877	+	0.0429405i
$911$	7.68605	−	1.10509i	0.254650	−	0.0366132i	−0.0138074	−	0.999905i	$-0.504395\pi$
$911$	7.68605	−	1.10509i	0.254650	−	0.0366132i	0.268458	+	0.963292i	$0.413486\pi$
$912$	2.71515	−	2.35269i	0.0899076	−	0.0779053i
$913$	−0.781019	+	0.356679i	−0.0258480	+	0.0118044i
$914$	12.4927	+	19.4391i	0.413223	+	0.642988i
$915$	−42.0336	−	6.04352i	−1.38959	−	0.199793i
$916$	−23.2006	−	14.9101i	−0.766570	−	0.492645i
$917$	−3.50789	−	0.842908i	−0.115841	−	0.0278353i
$918$	0.202149	−	0.688455i	0.00667190	−	0.0227224i
$919$		−	24.5445i		−	0.809649i	−0.914394	−	0.404824i	$-0.867333\pi$
$919$		−	24.5445i		−	0.809649i	0.914394	−	0.404824i	$-0.132667\pi$
$920$	6.24149	−	14.9365i	0.205776	−	0.492441i
$921$	6.65714			0.219360
$922$	3.84210	−	13.0850i	0.126533	−	0.430931i
$923$	2.20207	+	1.90810i	0.0724820	+	0.0628060i
$924$	−0.461255	−	0.0430295i	−0.0151742	−	0.00141557i
$925$	50.8304	+	7.30831i	1.67129	+	0.240296i
$926$	33.2725	−	21.3829i	1.09340	−	0.702687i
$927$	−7.27668	−	15.9337i	−0.238997	−	0.523331i
$928$	−1.16533	−	1.34486i	−0.0382537	−	0.0441471i
$929$	−16.5869	+	2.38484i	−0.544200	+	0.0782441i	−0.408932	−	0.912565i	$-0.634099\pi$
$929$	−16.5869	+	2.38484i	−0.544200	+	0.0782441i	−0.135268	+	0.990809i	$0.543190\pi$
$930$	6.36123	−	13.9292i	0.208593	−	0.456755i
$931$	8.12155	−	23.8011i	0.266173	−	0.780049i
$932$	17.8051	−	5.22805i	0.583226	−	0.171251i
$933$	−10.5253	+	23.0473i	−0.344584	+	0.754533i
$934$	2.87738	+	20.0126i	0.0941507	+	0.654833i
$935$	−0.320492	+	0.277708i	−0.0104812	+	0.00908201i
$936$	−2.65149	+	1.21089i	−0.0866666	+	0.0395793i
$937$	−17.0675	+	10.9686i	−0.557571	+	0.358329i	−0.788876	−	0.614552i	$-0.789337\pi$
$937$	−17.0675	+	10.9686i	−0.557571	+	0.358329i	0.231305	+	0.972881i	$0.425700\pi$
$938$	24.3444	−	8.48518i	0.794872	−	0.277051i
$939$	4.98703	−	7.75997i	0.162745	−	0.253237i
$940$	4.85700	+	4.20862i	0.158418	+	0.137270i
$941$	51.3097	+	15.0659i	1.67265	+	0.491134i	0.974419	−	0.224740i	$-0.0721533\pi$
$941$	51.3097	+	15.0659i	1.67265	+	0.491134i	0.698230	+	0.715874i	$0.253971\pi$
$942$		−	8.67192i		−	0.282547i
$943$	−34.2898	+	17.0308i	−1.11663	+	0.554601i
$944$			0.762255i			0.0248093i
$945$	−1.70925	−	8.76550i	−0.0556019	−	0.285142i
$946$	−0.0456435	+	0.0526755i	−0.00148400	+	0.00171263i
$947$	−37.4876	−	24.0918i	−1.21818	−	0.782879i	−0.236175	−	0.971711i	$-0.575894\pi$
$947$	−37.4876	−	24.0918i	−1.21818	−	0.782879i	−0.982010	+	0.188831i	$0.939530\pi$
$948$	0.110151	−	0.766119i	0.00357755	−	0.0248824i
$949$	−21.3989	+	13.7522i	−0.694637	+	0.446416i
$950$	−9.54217	−	20.8944i	−0.309589	−	0.677905i
$951$	16.4047	−	14.2148i	0.531960	−	0.460946i
$952$	1.10454	+	1.54397i	0.0357983	+	0.0500403i
$953$	−10.1975	−	4.65705i	−0.330330	−	0.150857i	0.243345	−	0.969940i	$-0.421755\pi$
$953$	−10.1975	−	4.65705i	−0.330330	−	0.150857i	−0.573675	+	0.819083i	$0.694483\pi$
$954$	1.36207	+	4.63878i	0.0440986	+	0.150186i
$955$	−23.1579	−	78.8686i	−0.749372	−	2.55213i
$956$	0.425329	−	0.931340i	0.0137561	−	0.0301217i
$957$	−0.0443427	−	0.308410i	−0.00143339	−	0.00996948i
$958$	21.6253	+	24.9570i	0.698682	+	0.806323i
$959$	2.19708	−	2.80639i	0.0709474	−	0.0906231i
$960$	1.82491	+	2.83961i	0.0588986	+	0.0916480i
$961$	−1.48286	+	10.3135i	−0.0478341	+	0.332693i
$962$	−19.6956	−	12.6576i	−0.635010	−	0.408096i
$963$	−7.52361	−	6.51925i	−0.242445	−	0.210080i
$964$	12.8561	+	3.77490i	0.414068	+	0.121581i
$965$	75.1287			2.41848
$966$	−6.20273	−	11.0692i	−0.199570	−	0.356144i
$967$	−52.4849			−1.68780			−0.843901	−	0.536499i	$-0.819746\pi$
$967$	−52.4849			−1.68780			−0.843901	+	0.536499i	$0.819746\pi$
$968$	−10.5250	−	3.09042i	−0.338287	−	0.0993299i
$969$	−1.94817	−	1.68810i	−0.0625843	−	0.0542296i
$970$	36.1516	+	23.2332i	1.16076	+	0.745973i
$971$	−7.76421	+	54.0013i	−0.249165	+	1.73298i	0.353893	+	0.935286i	$0.384858\pi$
$971$	−7.76421	+	54.0013i	−0.249165	+	1.73298i	−0.603058	+	0.797697i	$0.706051\pi$
$972$	−0.540641	−	0.841254i	−0.0173411	−	0.0269832i
$973$	16.6515	−	21.2694i	0.533822	−	0.681865i
$974$	−21.8687	−	25.2378i	−0.700717	−	0.808671i
$975$	2.65231	+	18.4472i	0.0849417	+	0.590783i
$976$	5.22625	−	11.4439i	0.167288	−	0.366310i
$977$	13.0379	+	44.4030i	0.417119	+	1.42058i	0.853630	+	0.520879i	$0.174396\pi$
$977$	13.0379	+	44.4030i	0.417119	+	1.42058i	−0.436511	+	0.899699i	$0.643786\pi$
$978$	3.45373	+	11.7623i	0.110438	+	0.376117i
$979$	−1.59437	−	0.728123i	−0.0509562	−	0.0232709i
$980$	21.0486	+	10.7353i	0.672372	+	0.342928i
$981$	9.40475	−	8.14926i	0.300271	−	0.260186i
$982$	10.4958	+	22.9825i	0.334934	+	0.733403i
$983$	−15.2727	+	9.81519i	−0.487125	+	0.313056i	−0.761048	−	0.648696i	$-0.775315\pi$
$983$	−15.2727	+	9.81519i	−0.487125	+	0.313056i	0.273923	+	0.961752i	$0.411679\pi$
$984$	1.13614	−	7.90199i	0.0362187	−	0.251906i
$985$	3.06854	+	1.97203i	0.0977717	+	0.0628341i
$986$	−0.836144	+	0.964962i	−0.0266282	+	0.0307306i
$987$	4.94429	−	0.964124i	0.157379	−	0.0306884i
$988$			10.4722i			0.333166i
$989$	−1.89748	−	0.209984i	−0.0603364	−	0.00667710i
$990$			0.591024i			0.0187840i
$991$	−19.7139	−	5.78854i	−0.626234	−	0.183879i	−0.0468083	−	0.998904i	$-0.514905\pi$
$991$	−19.7139	−	5.78854i	−0.626234	−	0.183879i	−0.579426	+	0.815025i	$0.696723\pi$
$992$	3.42851	+	2.97082i	0.108855	+	0.0943236i
$993$	−18.8849	+	29.3855i	−0.599294	+	0.932520i
$994$	−0.870449	−	2.49736i	−0.0276090	−	0.0792115i
$995$	43.1824	−	27.7517i	1.36897	−	0.879787i
$996$	4.46055	−	2.03706i	0.141338	−	0.0645468i
$997$	23.5075	−	20.3694i	0.744490	−	0.645104i	−0.197670	−	0.980269i	$-0.563337\pi$
$997$	23.5075	−	20.3694i	0.744490	−	0.645104i	0.942160	+	0.335165i	$0.108792\pi$
$998$	2.82923	+	19.6778i	0.0895578	+	0.622888i
$999$	3.33657	−	7.30606i	0.105564	−	0.231154i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.s.a.97.16	yes	160
7.6	odd	2	inner	966.2.s.a.97.1	✓	160
23.14	odd	22	inner	966.2.s.a.727.1	yes	160
161.83	even	22	inner	966.2.s.a.727.16	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.s.a.97.1	✓	160	7.6	odd	2	inner
966.2.s.a.97.16	yes	160	1.1	even	1	trivial
966.2.s.a.727.1	yes	160	23.14	odd	22	inner
966.2.s.a.727.16	yes	160	161.83	even	22	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:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.s (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.959493 - 0.281733i) q^{2} +(0.755750 + 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.480377 - 3.34109i) q^{5} +(-0.540641 - 0.841254i) q^{6} +(-2.08326 - 1.63096i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +O(q^{10})\)	\(q+(-0.959493 - 0.281733i) q^{2} +(0.755750 + 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.480377 - 3.34109i) q^{5} +(-0.540641 - 0.841254i) q^{6} +(-2.08326 - 1.63096i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +(-1.40221 + 3.07042i) q^{10} +(-0.0493299 - 0.168002i) q^{11} +(0.281733 + 0.959493i) q^{12} +(-2.65149 - 1.21089i) q^{13} +(1.53938 + 2.15181i) q^{14} +(2.55099 - 2.21045i) q^{15} +(0.415415 + 0.909632i) q^{16} +(0.603616 - 0.387921i) q^{17} +(0.142315 - 0.989821i) q^{18} +(-3.02233 - 1.94234i) q^{19} +(2.21045 - 2.55099i) q^{20} +(-0.506377 - 2.59684i) q^{21} +0.175095i q^{22} +(-3.94790 + 2.72288i) q^{23} -1.00000i q^{24} +(-6.13467 - 1.80130i) q^{25} +(2.20294 + 1.90885i) q^{26} +(-0.540641 + 0.841254i) q^{27} +(-0.870792 - 2.49834i) q^{28} +(1.49701 - 0.962071i) q^{29} +(-3.07042 + 1.40221i) q^{30} +(-3.42851 + 2.97082i) q^{31} +(-0.142315 - 0.989821i) q^{32} +(0.0727370 - 0.159272i) q^{33} +(-0.688455 + 0.202149i) q^{34} +(-6.44992 + 6.17690i) q^{35} +(-0.415415 + 0.909632i) q^{36} +(-7.95013 + 1.14306i) q^{37} +(2.35269 + 2.71515i) q^{38} +(-1.21089 - 2.65149i) q^{39} +(-2.83961 + 1.82491i) q^{40} +(7.90199 + 1.13614i) q^{41} +(-0.245750 + 2.63431i) q^{42} +(0.300840 + 0.260679i) q^{43} +(0.0493299 - 0.168002i) q^{44} +3.37545 q^{45} +(4.55511 - 1.50033i) q^{46} +1.90397i q^{47} +(-0.281733 + 0.959493i) q^{48} +(1.67997 + 6.79542i) q^{49} +(5.37869 + 3.45667i) q^{50} +(0.710217 + 0.102114i) q^{51} +(-1.57591 - 2.45217i) q^{52} +(-4.39772 + 2.00837i) q^{53} +(0.755750 - 0.654861i) q^{54} +(-0.585008 + 0.0841115i) q^{55} +(0.131654 + 2.64247i) q^{56} +(-1.01217 - 3.44713i) q^{57} +(-1.70742 + 0.501343i) q^{58} +(0.693372 + 0.316652i) q^{59} +(3.34109 - 0.480377i) q^{60} +(-8.23867 - 9.50793i) q^{61} +(4.12661 - 1.88456i) q^{62} +(1.31788 - 2.29417i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(-5.31942 + 8.27718i) q^{65} +(-0.114663 + 0.132328i) q^{66} +(2.74526 - 9.34950i) q^{67} +0.717520 q^{68} +(-4.76673 - 0.527508i) q^{69} +(7.92889 - 4.10954i) q^{70} +(-0.959115 - 0.281622i) q^{71} +(0.654861 - 0.755750i) q^{72} +(4.71790 - 7.34120i) q^{73} +(7.95013 + 1.14306i) q^{74} +(-3.45667 - 5.37869i) q^{75} +(-1.49244 - 3.26800i) q^{76} +(-0.171237 + 0.430448i) q^{77} +(0.414834 + 2.88523i) q^{78} +(-0.704052 - 0.321530i) q^{79} +(3.23872 - 0.950974i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(-7.26182 - 3.31636i) q^{82} +(-0.697867 - 4.85377i) q^{83} +(0.977967 - 2.45837i) q^{84} +(-1.00612 - 2.20308i) q^{85} +(-0.215212 - 0.334876i) q^{86} +(1.76139 + 0.253249i) q^{87} +(-0.0946634 + 0.147299i) q^{88} +(6.55539 - 7.56532i) q^{89} +(-3.23872 - 0.950974i) q^{90} +(3.54883 + 6.84707i) q^{91} +(-4.79329 + 0.156238i) q^{92} -4.53657 q^{93} +(0.536409 - 1.82684i) q^{94} +(-7.94138 + 9.16485i) q^{95} +(0.540641 - 0.841254i) q^{96} +(1.81184 - 12.6016i) q^{97} +(0.302570 - 6.99346i) q^{98} +(0.159272 - 0.0727370i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q - 16 q^{2} - 16 q^{4} - 16 q^{8} + 16 q^{9}+O(q^{10}) \) 160 * q - 16 * q^2 - 16 * q^4 - 16 * q^8 + 16 * q^9	\( 160 q - 16 q^{2} - 16 q^{4} - 16 q^{8} + 16 q^{9} - 22 q^{14} - 16 q^{16} + 16 q^{18} - 36 q^{23} + 96 q^{25} + 22 q^{28} - 20 q^{29} - 16 q^{32} - 50 q^{35} + 16 q^{36} + 22 q^{37} + 4 q^{39} - 110 q^{43} + 8 q^{46} - 36 q^{50} + 22 q^{51} - 88 q^{53} + 22 q^{57} + 24 q^{58} - 16 q^{64} - 72 q^{70} + 48 q^{71} + 16 q^{72} - 22 q^{74} + 24 q^{77} + 4 q^{78} + 88 q^{79} - 16 q^{81} + 22 q^{84} + 76 q^{85} + 44 q^{86} - 44 q^{88} + 8 q^{92} - 14 q^{95} + 22 q^{98} - 22 q^{99}+O(q^{100}) \) 160 * q - 16 * q^2 - 16 * q^4 - 16 * q^8 + 16 * q^9 - 22 * q^14 - 16 * q^16 + 16 * q^18 - 36 * q^23 + 96 * q^25 + 22 * q^28 - 20 * q^29 - 16 * q^32 - 50 * q^35 + 16 * q^36 + 22 * q^37 + 4 * q^39 - 110 * q^43 + 8 * q^46 - 36 * q^50 + 22 * q^51 - 88 * q^53 + 22 * q^57 + 24 * q^58 - 16 * q^64 - 72 * q^70 + 48 * q^71 + 16 * q^72 - 22 * q^74 + 24 * q^77 + 4 * q^78 + 88 * q^79 - 16 * q^81 + 22 * q^84 + 76 * q^85 + 44 * q^86 - 44 * q^88 + 8 * q^92 - 14 * q^95 + 22 * q^98 - 22 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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