LMFDB - Embedded newform 605.2.s.b.416.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [605,2,Mod(16,605)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(605, base_ring=CyclotomicField(110))

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

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

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

chi := DirichletCharacter("605.16");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 605 = 5 \cdot 11^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	605.s (of order $55$, degree $40$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.83094932229$
Analytic rank:	$0$
Dimension:	$880$
Relative dimension:	$22$ over $\Q(\zeta_{55})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label			416.8
Character	$\chi$	$=$	605.416
Dual form			605.2.s.b.16.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.756073 + 0.0867513i) q^{2} +(-0.251034 + 0.182387i) q^{3} +(-1.38390 + 0.321813i) q^{4} +(-0.564443 - 0.825472i) q^{5} +(0.173978 - 0.159675i) q^{6} +(-2.99384 + 3.08059i) q^{7} +(2.45196 - 0.874859i) q^{8} +(-0.897298 + 2.76160i) q^{9} +O(q^{10})$	\(q+(-0.756073 + 0.0867513i) q^{2} +(-0.251034 + 0.182387i) q^{3} +(-1.38390 + 0.321813i) q^{4} +(-0.564443 - 0.825472i) q^{5} +(0.173978 - 0.159675i) q^{6} +(-2.99384 + 3.08059i) q^{7} +(2.45196 - 0.874859i) q^{8} +(-0.897298 + 2.76160i) q^{9} +(0.498371 + 0.575151i) q^{10} +(2.42167 - 2.26617i) q^{11} +(0.288712 - 0.333192i) q^{12} +(1.71763 + 2.84837i) q^{13} +(1.99632 - 2.58887i) q^{14} +(0.292250 + 0.104274i) q^{15} +(0.772128 - 0.379630i) q^{16} +(-4.81891 - 3.94041i) q^{17} +(0.438850 - 2.16581i) q^{18} +(1.78622 - 0.102140i) q^{19} +(1.04678 + 0.960728i) q^{20} +(0.189697 - 1.31937i) q^{21} +(-1.63436 + 1.92347i) q^{22} +(-0.955336 - 6.64451i) q^{23} +(-0.455964 + 0.666826i) q^{24} +(-0.362808 + 0.931864i) q^{25} +(-1.54575 - 2.00457i) q^{26} +(-0.566086 - 1.74223i) q^{27} +(3.15181 - 5.22669i) q^{28} +(-3.64129 - 9.35259i) q^{29} +(-0.230008 - 0.0534861i) q^{30} +(-2.62447 + 1.10911i) q^{31} +(-4.93103 + 3.16898i) q^{32} +(-0.194601 + 1.01057i) q^{33} +(3.98529 + 2.56119i) q^{34} +(4.23279 + 0.732513i) q^{35} +(0.353055 - 4.11055i) q^{36} +(-0.0668430 - 0.778239i) q^{37} +(-1.34166 + 0.232183i) q^{38} +(-0.950687 - 0.401764i) q^{39} +(-2.10617 - 1.53022i) q^{40} +(-2.43396 - 1.37452i) q^{41} +(-0.0289675 + 1.01400i) q^{42} +(-2.85568 - 0.838504i) q^{43} +(-2.62207 + 3.91548i) q^{44} +(2.78610 - 0.818072i) q^{45} +(1.29872 + 4.94086i) q^{46} +(0.226883 + 1.11971i) q^{47} +(-0.124591 + 0.236126i) q^{48} +(-0.327055 - 11.4484i) q^{49} +(0.193469 - 0.736031i) q^{50} +(1.92839 + 0.110269i) q^{51} +(-3.29367 - 3.38911i) q^{52} +(3.81127 + 1.87387i) q^{53} +(0.579144 + 1.26815i) q^{54} +(-3.23755 - 0.719894i) q^{55} +(-4.64571 + 10.1727i) q^{56} +(-0.429774 + 0.351424i) q^{57} +(3.56443 + 6.75535i) q^{58} +(1.58966 - 0.897723i) q^{59} +(-0.438002 - 0.0502561i) q^{60} +(12.7413 + 1.46193i) q^{61} +(1.88808 - 1.06625i) q^{62} +(-5.82098 - 11.0320i) q^{63} +(2.12115 - 1.73446i) q^{64} +(1.38174 - 3.02559i) q^{65} +(0.0594646 - 0.780944i) q^{66} +(0.522399 + 1.14389i) q^{67} +(7.93698 + 3.90235i) q^{68} +(1.45169 + 1.49376i) q^{69} +(-3.26384 - 0.186633i) q^{70} +(3.50605 - 13.3384i) q^{71} +(0.215868 + 7.55635i) q^{72} +(-0.182320 + 0.345535i) q^{73} +(0.118051 + 0.582607i) q^{74} +(-0.0788827 - 0.300101i) q^{75} +(-2.43909 + 0.716182i) q^{76} +(-0.268945 + 14.2447i) q^{77} +(0.753642 + 0.221289i) q^{78} +(0.302948 - 10.6046i) q^{79} +(-0.749196 - 0.423091i) q^{80} +(-6.58760 - 4.78617i) q^{81} +(1.95950 + 0.828090i) q^{82} +(-16.2549 + 2.81302i) q^{83} +(0.162068 + 1.88693i) q^{84} +(-0.532691 + 6.20201i) q^{85} +(2.23185 + 0.386236i) q^{86} +(2.61988 + 1.68369i) q^{87} +(3.95526 - 7.67519i) q^{88} +(13.3486 - 8.57864i) q^{89} +(-2.03552 + 0.860219i) q^{90} +(-13.9169 - 3.23624i) q^{91} +(3.46038 + 8.88792i) q^{92} +(0.456545 - 0.757094i) q^{93} +(-0.268677 - 0.826902i) q^{94} +(-1.09254 - 1.41683i) q^{95} +(0.659876 - 1.69488i) q^{96} +(-4.00028 + 5.85022i) q^{97} +(1.24044 + 8.62747i) q^{98} +(4.08530 + 8.72110i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 880 q + 4 q^{2} - q^{3} + 24 q^{4} + 22 q^{5} - 13 q^{6} + 3 q^{7} + 2 q^{8} - 217 q^{9}+O(q^{10}) $ 880 * q + 4 * q^2 - q^3 + 24 * q^4 + 22 * q^5 - 13 * q^6 + 3 * q^7 + 2 * q^8 - 217 * q^9	\( 880 q + 4 q^{2} - q^{3} + 24 q^{4} + 22 q^{5} - 13 q^{6} + 3 q^{7} + 2 q^{8} - 217 q^{9} - 6 q^{10} + 5 q^{11} - 5 q^{12} - 26 q^{13} - 108 q^{14} - 12 q^{15} + 34 q^{16} - q^{17} - 14 q^{18} + q^{19} + 19 q^{20} - 10 q^{21} + 275 q^{22} - 51 q^{23} + 283 q^{24} + 22 q^{25} - 16 q^{27} - 4 q^{28} - 19 q^{29} + q^{30} - 34 q^{31} - 122 q^{32} + 19 q^{33} + 52 q^{34} + 8 q^{35} - 21 q^{36} - 109 q^{37} - 10 q^{38} - 9 q^{39} - 64 q^{40} + 4 q^{41} - 49 q^{42} - 97 q^{43} + 17 q^{44} - 80 q^{45} - 91 q^{46} + 166 q^{47} - 159 q^{48} + 175 q^{49} + 4 q^{50} - 112 q^{51} - 128 q^{52} - 141 q^{53} - 37 q^{54} - 5 q^{55} + 79 q^{56} - 204 q^{57} - 190 q^{58} + 9 q^{59} - 22 q^{60} + 2 q^{61} - 105 q^{62} - q^{63} - 176 q^{64} - 14 q^{65} - 112 q^{66} - 13 q^{67} - 35 q^{68} - 53 q^{69} + 24 q^{70} - 50 q^{71} + 705 q^{72} + q^{73} + 40 q^{74} - q^{75} - 148 q^{76} - 104 q^{77} - 187 q^{78} - 83 q^{79} - q^{80} - 238 q^{81} - 54 q^{82} - 151 q^{83} + 4 q^{84} - 29 q^{85} - 39 q^{86} - 74 q^{87} - 143 q^{88} - 52 q^{89} - 28 q^{90} - 188 q^{91} - 253 q^{92} + 122 q^{93} - 187 q^{94} + 122 q^{95} - 155 q^{96} + 283 q^{97} - 92 q^{98} + 172 q^{99}+O(q^{100}) \) 880 * q + 4 * q^2 - q^3 + 24 * q^4 + 22 * q^5 - 13 * q^6 + 3 * q^7 + 2 * q^8 - 217 * q^9 - 6 * q^10 + 5 * q^11 - 5 * q^12 - 26 * q^13 - 108 * q^14 - 12 * q^15 + 34 * q^16 - q^17 - 14 * q^18 + q^19 + 19 * q^20 - 10 * q^21 + 275 * q^22 - 51 * q^23 + 283 * q^24 + 22 * q^25 - 16 * q^27 - 4 * q^28 - 19 * q^29 + q^30 - 34 * q^31 - 122 * q^32 + 19 * q^33 + 52 * q^34 + 8 * q^35 - 21 * q^36 - 109 * q^37 - 10 * q^38 - 9 * q^39 - 64 * q^40 + 4 * q^41 - 49 * q^42 - 97 * q^43 + 17 * q^44 - 80 * q^45 - 91 * q^46 + 166 * q^47 - 159 * q^48 + 175 * q^49 + 4 * q^50 - 112 * q^51 - 128 * q^52 - 141 * q^53 - 37 * q^54 - 5 * q^55 + 79 * q^56 - 204 * q^57 - 190 * q^58 + 9 * q^59 - 22 * q^60 + 2 * q^61 - 105 * q^62 - q^63 - 176 * q^64 - 14 * q^65 - 112 * q^66 - 13 * q^67 - 35 * q^68 - 53 * q^69 + 24 * q^70 - 50 * q^71 + 705 * q^72 + q^73 + 40 * q^74 - q^75 - 148 * q^76 - 104 * q^77 - 187 * q^78 - 83 * q^79 - q^80 - 238 * q^81 - 54 * q^82 - 151 * q^83 + 4 * q^84 - 29 * q^85 - 39 * q^86 - 74 * q^87 - 143 * q^88 - 52 * q^89 - 28 * q^90 - 188 * q^91 - 253 * q^92 + 122 * q^93 - 187 * q^94 + 122 * q^95 - 155 * q^96 + 283 * q^97 - 92 * q^98 + 172 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/605\mathbb{Z}\right)^\times$.

$n$	$122$	$486$
$\chi(n)$	$1$	$e\left(\frac{53}{55}\right)$

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 $

$2$	−0.756073	+	0.0867513i	−0.534624	+	0.0613424i	−0.377100	−	0.926173i	$-0.623079\pi$
$2$	−0.756073	+	0.0867513i	−0.534624	+	0.0613424i	−0.157525	+	0.987515i	$0.550351\pi$
$3$	−0.251034	+	0.182387i	−0.144935	+	0.105301i	−0.657890	−	0.753114i	$-0.728551\pi$
$3$	−0.251034	+	0.182387i	−0.144935	+	0.105301i	0.512955	+	0.858415i	$0.328551\pi$
$4$	−1.38390	+	0.321813i	−0.691952	+	0.160906i
$5$	−0.564443	−	0.825472i	−0.252427	−	0.369162i
$5$	−0.564443	−	0.825472i	−0.252427	−	0.369162i
$6$	0.173978	−	0.159675i	0.0710261	−	0.0651872i
$7$	−2.99384	+	3.08059i	−1.13156	+	1.16435i	−0.147036	+	0.989131i	$0.546973\pi$
$7$	−2.99384	+	3.08059i	−1.13156	+	1.16435i	−0.984529	+	0.175221i	$0.943936\pi$
$8$	2.45196	−	0.874859i	0.866900	−	0.309309i
$9$	−0.897298	+	2.76160i	−0.299099	+	0.920533i
$10$	0.498371	+	0.575151i	0.157599	+	0.181879i
$11$	2.42167	−	2.26617i	0.730160	−	0.683276i
$11$	2.42167	−	2.26617i	0.730160	−	0.683276i
$12$	0.288712	−	0.333192i	0.0833441	−	0.0961842i
$13$	1.71763	+	2.84837i	0.476384	+	0.789994i	0.998002	−	0.0631850i	$-0.0201258\pi$
$13$	1.71763	+	2.84837i	0.476384	+	0.789994i	−0.521618	+	0.853179i	$0.674671\pi$
$14$	1.99632	−	2.58887i	0.533538	−	0.691904i
$15$	0.292250	+	0.104274i	0.0754585	+	0.0269235i
$16$	0.772128	−	0.379630i	0.193032	−	0.0949074i
$17$	−4.81891	−	3.94041i	−1.16876	−	0.955689i	−0.169205	−	0.985581i	$-0.554120\pi$
$17$	−4.81891	−	3.94041i	−1.16876	−	0.955689i	−0.999553	+	0.0298921i	$0.990484\pi$
$18$	0.438850	−	2.16581i	0.103438	−	0.510487i
$19$	1.78622	−	0.102140i	0.409788	−	0.0234325i	0.149020	−	0.988834i	$-0.452388\pi$
$19$	1.78622	−	0.102140i	0.409788	−	0.0234325i	0.260768	+	0.965402i	$0.416024\pi$
$20$	1.04678	+	0.960728i	0.234068	+	0.214825i
$21$	0.189697	−	1.31937i	0.0413952	−	0.287910i
$22$	−1.63436	+	1.92347i	−0.348448	+	0.410086i
$23$	−0.955336	−	6.64451i	−0.199201	−	1.38548i	−0.806609	−	0.591085i	$-0.798700\pi$
$23$	−0.955336	−	6.64451i	−0.199201	−	1.38548i	0.607408	−	0.794390i	$-0.292209\pi$
$24$	−0.455964	+	0.666826i	−0.0930732	+	0.136115i
$25$	−0.362808	+	0.931864i	−0.0725615	+	0.186373i
$26$	−1.54575	−	2.00457i	−0.303147	−	0.393128i
$27$	−0.566086	−	1.74223i	−0.108943	−	0.335293i
$28$	3.15181	−	5.22669i	0.595636	−	0.987752i
$29$	−3.64129	−	9.35259i	−0.676171	−	1.73673i	−0.676185	−	0.736732i	$-0.736368\pi$
$29$	−3.64129	−	9.35259i	−0.676171	−	1.73673i	1.40072e−5	−	1.00000i	$-0.499996\pi$
$30$	−0.230008	−	0.0534861i	−0.0419935	−	0.00976518i
$31$	−2.62447	+	1.10911i	−0.471369	+	0.199202i	−0.611997	−	0.790860i	$-0.709633\pi$
$31$	−2.62447	+	1.10911i	−0.471369	+	0.199202i	0.140627	+	0.990063i	$0.455088\pi$
$32$	−4.93103	+	3.16898i	−0.871692	+	0.560202i
$33$	−0.194601	+	1.01057i	−0.0338757	+	0.175917i
$34$	3.98529	+	2.56119i	0.683471	+	0.439240i
$35$	4.23279	+	0.732513i	0.715472	+	0.123817i
$36$	0.353055	−	4.11055i	0.0588425	−	0.685091i
$37$	−0.0668430	−	0.778239i	−0.0109889	−	0.127942i	0.988781	−	0.149369i	$-0.0477243\pi$
$37$	−0.0668430	−	0.778239i	−0.0109889	−	0.127942i	−0.999770	+	0.0214276i	$0.993179\pi$
$38$	−1.34166	+	0.232183i	−0.217645	+	0.0376650i
$39$	−0.950687	−	0.401764i	−0.152232	−	0.0643337i
$40$	−2.10617	−	1.53022i	−0.333014	−	0.241949i
$41$	−2.43396	−	1.37452i	−0.380121	−	0.214664i	0.289816	−	0.957083i	$-0.406406\pi$
$41$	−2.43396	−	1.37452i	−0.380121	−	0.214664i	−0.669937	+	0.742418i	$0.733679\pi$
$42$	−0.0289675	+	1.01400i	−0.00446979	+	0.156463i
$43$	−2.85568	−	0.838504i	−0.435488	−	0.127871i	0.0566382	−	0.998395i	$-0.481962\pi$
$43$	−2.85568	−	0.838504i	−0.435488	−	0.127871i	−0.492126	+	0.870524i	$0.663780\pi$
$44$	−2.62207	+	3.91548i	−0.395292	+	0.590281i
$45$	2.78610	−	0.818072i	0.415327	−	0.121951i
$46$	1.29872	+	4.94086i	0.191486	+	0.728490i
$47$	0.226883	+	1.11971i	0.0330943	+	0.163327i	0.993222	−	0.116236i	$-0.0370830\pi$
$47$	0.226883	+	1.11971i	0.0330943	+	0.163327i	−0.960127	+	0.279563i	$0.909810\pi$
$48$	−0.124591	+	0.236126i	−0.0179831	+	0.0340818i
$49$	−0.327055	−	11.4484i	−0.0467221	−	1.63549i
$50$	0.193469	−	0.736031i	0.0273606	−	0.104091i
$51$	1.92839	+	0.110269i	0.270028	+	0.0154408i
$52$	−3.29367	−	3.38911i	−0.456750	−	0.469985i
$53$	3.81127	+	1.87387i	0.523518	+	0.257396i	0.683793	−	0.729676i	$-0.260329\pi$
$53$	3.81127	+	1.87387i	0.523518	+	0.257396i	−0.160275	+	0.987072i	$0.551238\pi$
$54$	0.579144	+	1.26815i	0.0788115	+	0.172573i
$55$	−3.23755	−	0.719894i	−0.436552	−	0.0970704i
$56$	−4.64571	+	10.1727i	−0.620809	+	1.35938i
$57$	−0.429774	+	0.351424i	−0.0569250	+	0.0465473i
$58$	3.56443	+	6.75535i	0.468033	+	0.887021i
$59$	1.58966	−	0.897723i	0.206956	−	0.116874i	−0.384770	−	0.923012i	$-0.625719\pi$
$59$	1.58966	−	0.897723i	0.206956	−	0.116874i	0.591726	+	0.806139i	$0.298447\pi$
$60$	−0.438002	−	0.0502561i	−0.0565458	−	0.00648803i
$61$	12.7413	+	1.46193i	1.63135	+	0.187180i	0.880753	−	0.473575i	$-0.157037\pi$
$61$	12.7413	+	1.46193i	1.63135	+	0.187180i	0.750601	+	0.660756i	$0.229764\pi$
$62$	1.88808	−	1.06625i	0.239786	−	0.135413i
$63$	−5.82098	−	11.0320i	−0.733375	−	1.38990i
$64$	2.12115	−	1.73446i	0.265144	−	0.216807i
$65$	1.38174	−	3.02559i	0.171384	−	0.375279i
$66$	0.0594646	−	0.780944i	0.00731959	−	0.0961275i
$67$	0.522399	+	1.14389i	0.0638212	+	0.139749i	0.938855	−	0.344313i	$-0.111888\pi$
$67$	0.522399	+	1.14389i	0.0638212	+	0.139749i	−0.875034	+	0.484062i	$0.839161\pi$
$68$	7.93698	+	3.90235i	0.962501	+	0.473230i
$69$	1.45169	+	1.49376i	0.174763	+	0.179827i
$70$	−3.26384	−	0.186633i	−0.390104	−	0.0223070i
$71$	3.50605	−	13.3384i	0.416091	−	1.58298i	−0.347760	−	0.937584i	$-0.613057\pi$
$71$	3.50605	−	13.3384i	0.416091	−	1.58298i	0.763851	−	0.645392i	$-0.223306\pi$
$72$	0.215868	+	7.55635i	0.0254402	+	0.890525i
$73$	−0.182320	+	0.345535i	−0.0213389	+	0.0404418i	−0.894871	−	0.446324i	$-0.852733\pi$
$73$	−0.182320	+	0.345535i	−0.0213389	+	0.0404418i	0.873532	+	0.486766i	$0.161824\pi$
$74$	0.118051	+	0.582607i	0.0137232	+	0.0677267i
$75$	−0.0788827	−	0.300101i	−0.00910859	−	0.0346527i
$76$	−2.43909	+	0.716182i	−0.279783	+	0.0821517i
$77$	−0.268945	+	14.2447i	−0.0306491	+	1.62333i
$78$	0.753642	+	0.221289i	0.0853332	+	0.0250561i
$79$	0.302948	−	10.6046i	0.0340844	−	1.19311i	−0.785022	−	0.619467i	$-0.787349\pi$
$79$	0.302948	−	10.6046i	0.0340844	−	1.19311i	0.819107	−	0.573641i	$-0.194470\pi$
$80$	−0.749196	−	0.423091i	−0.0837627	−	0.0473030i
$81$	−6.58760	−	4.78617i	−0.731956	−	0.531797i
$82$	1.95950	+	0.828090i	0.216390	+	0.0914472i
$83$	−16.2549	+	2.81302i	−1.78421	+	0.308769i	−0.964513	−	0.264035i	$-0.914947\pi$
$83$	−16.2549	+	2.81302i	−1.78421	+	0.308769i	−0.819693	+	0.572804i	$0.805856\pi$
$84$	0.162068	+	1.88693i	0.0176831	+	0.205880i
$85$	−0.532691	+	6.20201i	−0.0577785	+	0.672703i
$86$	2.23185	+	0.386236i	0.240666	+	0.0416489i
$87$	2.61988	+	1.68369i	0.280880	+	0.180511i
$88$	3.95526	−	7.67519i	0.421632	−	0.818178i
$89$	13.3486	−	8.57864i	1.41495	−	0.909334i	0.414952	−	0.909843i	$-0.363799\pi$
$89$	13.3486	−	8.57864i	1.41495	−	0.909334i	1.00000		0.000509376i	$0.000162139\pi$
$90$	−2.03552	+	0.860219i	−0.214563	+	0.0906751i
$91$	−13.9169	−	3.23624i	−1.45889	−	0.339251i
$92$	3.46038	+	8.88792i	0.360770	+	0.926629i
$93$	0.456545	−	0.757094i	0.0473415	−	0.0785070i
$94$	−0.268677	−	0.826902i	−0.0277119	−	0.0852885i
$95$	−1.09254	−	1.41683i	−0.112092	−	0.145363i
$96$	0.659876	−	1.69488i	0.0673483	−	0.172983i
$97$	−4.00028	+	5.85022i	−0.406167	+	0.594000i	−0.973275	−	0.229643i	$-0.926244\pi$
$97$	−4.00028	+	5.85022i	−0.406167	+	0.594000i	0.567108	+	0.823643i	$0.308062\pi$
$98$	1.24044	+	8.62747i	0.125304	+	0.871506i
$99$	4.08530	+	8.72110i	0.410588	+	0.876504i
$100$	0.202205	−	1.40637i	0.0202205	−	0.140637i
$101$	6.92478	+	6.35550i	0.689041	+	0.632396i	0.942209	−	0.335026i	$-0.108745\pi$
$101$	6.92478	+	6.35550i	0.689041	+	0.632396i	−0.253168	+	0.967422i	$0.581472\pi$
$102$	−1.46757	+	0.0839186i	−0.145311	+	0.00830918i
$103$	0.416759	−	2.05679i	0.0410645	−	0.202661i	−0.954298	−	0.298857i	$-0.903395\pi$
$103$	0.416759	−	2.05679i	0.0410645	−	0.202661i	0.995362	+	0.0961956i	$0.0306674\pi$
$104$	6.70348	+	5.48141i	0.657330	+	0.537496i
$105$	−1.19617	+	0.588120i	−0.116735	+	0.0573946i
$106$	−3.04416	−	1.08615i	−0.295675	−	0.105497i
$107$	8.60185	−	11.1551i	0.831572	−	1.07840i	−0.164189	−	0.986429i	$-0.552501\pi$
$107$	8.60185	−	11.1551i	0.831572	−	1.07840i	0.995761	−	0.0919733i	$-0.0293174\pi$
$108$	1.34408	+	2.22891i	0.129334	+	0.214477i
$109$	−11.2849	+	13.0235i	−1.08090	+	1.24742i	−0.113671	+	0.993518i	$0.536261\pi$
$109$	−11.2849	+	13.0235i	−1.08090	+	1.24742i	−0.967229	+	0.253906i	$0.918285\pi$
$110$	2.51028	+	0.263430i	0.239346	+	0.0251171i
$111$	0.158720	+	0.183173i	0.0150651	+	0.0173860i
$112$	−1.14214	+	3.51516i	−0.107922	+	0.332151i
$113$	−17.2806	+	6.16569i	−1.62562	+	0.580019i	−0.982584	−	0.185819i	$-0.940506\pi$
$113$	−17.2806	+	6.16569i	−1.62562	+	0.580019i	−0.643034	+	0.765838i	$0.722324\pi$
$114$	0.294454	−	0.302986i	0.0275781	−	0.0283772i
$115$	−4.94562	+	4.53905i	−0.461182	+	0.423269i
$116$	8.04898	+	11.7713i	0.747329	+	1.09293i
$117$	−9.40727	+	2.18757i	−0.869702	+	0.202241i
$118$	−1.12402	+	0.816649i	−0.103475	+	0.0751787i
$119$	26.5658	−	3.04814i	2.43528	−	0.279423i
$120$	0.807811			0.0737427
$121$	0.728943	−	10.9758i	0.0662675	−	0.997802i
$122$	−9.76017			−0.883644
$123$	0.861702	−	0.0988711i	0.0776971	−	0.00891491i
$124$	3.27509	−	2.37949i	0.294112	−	0.213685i
$125$	0.974012	−	0.226497i	0.0871183	−	0.0202585i
$126$	5.35813	+	7.83601i	0.477340	+	0.698087i
$127$	−10.1504	+	9.31592i	−0.900700	+	0.826655i	−0.985488	−	0.169744i	$-0.945706\pi$
$127$	−10.1504	+	9.31592i	−0.900700	+	0.826655i	0.0847885	+	0.996399i	$0.472979\pi$
$128$	6.71696	−	6.91159i	0.593701	−	0.610904i
$129$	0.869806	−	0.310346i	0.0765821	−	0.0273244i
$130$	−0.782224	+	2.40744i	−0.0686056	+	0.211146i
$131$	−5.64736	−	6.51740i	−0.493412	−	0.569428i	0.453362	−	0.891326i	$-0.350225\pi$
$131$	−5.64736	−	6.51740i	−0.493412	−	0.569428i	−0.946774	+	0.321898i	$0.895679\pi$
$132$	−0.0559043	−	1.46115i	−0.00486584	−	0.127177i
$133$	−5.03302	+	5.80841i	−0.436418	+	0.503653i
$134$	−0.494206	−	0.819549i	−0.0426929	−	0.0707982i
$135$	−1.11864	+	1.45068i	−0.0962774	+	0.124855i
$136$	−15.2631	−	5.44587i	−1.30880	−	0.466979i
$137$	−3.35197	+	1.64805i	−0.286378	+	0.140803i	−0.578757	−	0.815500i	$-0.696462\pi$
$137$	−3.35197	+	1.64805i	−0.286378	+	0.140803i	0.292379	+	0.956302i	$0.405553\pi$
$138$	−1.22717	−	1.00345i	−0.104464	−	0.0854196i
$139$	0.441463	−	2.17870i	0.0374444	−	0.184795i	−0.956995	−	0.290104i	$-0.906310\pi$
$139$	0.441463	−	2.17870i	0.0374444	−	0.184795i	0.994440	+	0.105308i	$0.0335830\pi$
$140$	−6.09350	+	0.348439i	−0.514995	+	0.0294485i
$141$	−0.261176	−	0.239705i	−0.0219950	−	0.0201868i
$142$	−1.49371	+	10.3890i	−0.125349	+	0.871822i
$143$	10.6144	+	3.00536i	0.887621	+	0.251320i
$144$	0.355556	+	2.47295i	0.0296297	+	0.206079i
$145$	−5.66499	+	8.28479i	−0.470452	+	0.688014i
$146$	0.107872	−	0.277066i	0.00892752	−	0.0229301i
$147$	2.17014	+	2.81429i	0.178990	+	0.232119i
$148$	0.342952	+	1.05550i	0.0281904	+	0.0867613i
$149$	−10.2288	+	16.9625i	−0.837972	+	1.38962i	0.0815862	+	0.996666i	$0.474001\pi$
$149$	−10.2288	+	16.9625i	−0.837972	+	1.38962i	−0.919558	+	0.392954i	$0.871453\pi$
$150$	0.0856752	+	0.220055i	0.00699535	+	0.0179674i
$151$	−2.46590	−	0.573421i	−0.200672	−	0.0466643i	0.124956	−	0.992162i	$-0.460121\pi$
$151$	−2.46590	−	0.573421i	−0.200672	−	0.0466643i	−0.325628	+	0.945498i	$0.605576\pi$
$152$	4.29040	−	1.81314i	0.347998	−	0.147065i
$153$	15.2058	−	9.77219i	1.22932	−	0.790035i
$154$	−1.03240	−	10.7934i	−0.0831936	−	0.869754i
$155$	2.39691	+	1.54040i	0.192524	+	0.123728i
$156$	1.44495	+	0.250059i	0.115689	+	0.0200207i
$157$	0.328796	−	3.82810i	0.0262408	−	0.305516i	−0.971431	−	0.237321i	$-0.923731\pi$
$157$	0.328796	−	3.82810i	0.0262408	−	0.305516i	0.997672	−	0.0681947i	$-0.0217239\pi$
$158$	0.690910	+	8.04412i	0.0549658	+	0.639956i
$159$	−1.29853	+	0.224719i	−0.102980	+	0.0178214i
$160$	5.39919	+	2.28172i	0.426844	+	0.180386i
$161$	23.3291	+	16.9496i	1.83859	+	1.33581i
$162$	5.39591	+	3.04721i	0.423943	+	0.239412i
$163$	0.560274	−	19.6122i	0.0438841	−	1.53614i	−0.617785	−	0.786347i	$-0.711970\pi$
$163$	0.560274	−	19.6122i	0.0438841	−	1.53614i	0.661669	−	0.749796i	$-0.269848\pi$
$164$	3.81071	+	1.11892i	0.297566	+	0.0873734i
$165$	0.944035	−	0.409769i	0.0734930	−	0.0319005i
$166$	12.0459	−	3.53698i	0.934939	−	0.274523i
$167$	−0.386453	−	1.47022i	−0.0299046	−	0.113769i	0.950520	−	0.310663i	$-0.100551\pi$
$167$	−0.386453	−	1.47022i	−0.0299046	−	0.113769i	−0.980425	+	0.196894i	$0.936915\pi$
$168$	−0.689133	−	3.40100i	−0.0531677	−	0.262393i
$169$	0.903735	−	1.71277i	0.0695181	−	0.131751i
$170$	−0.135279	−	4.73539i	−0.0103754	−	0.363188i
$171$	−1.32071	+	5.02449i	−0.100997	+	0.384232i
$172$	4.22183	+	0.241413i	0.321912	+	0.0184076i
$173$	10.5722	+	10.8785i	0.803789	+	0.827079i	0.987781	−	0.155849i	$-0.0498112\pi$
$173$	10.5722	+	10.8785i	0.803789	+	0.827079i	−0.183992	+	0.982928i	$0.558902\pi$
$174$	−2.12688	−	1.04572i	−0.161238	−	0.0792756i
$175$	−1.78450	−	3.90751i	−0.134896	−	0.295380i
$176$	1.00953	−	2.66911i	0.0760963	−	0.201192i
$177$	−0.235326	+	0.515292i	−0.0176882	+	0.0387317i
$178$	−9.34833	+	7.64409i	−0.700687	+	0.572949i
$179$	0.438905	+	0.831817i	0.0328053	+	0.0621729i	0.900289	−	0.435293i	$-0.143355\pi$
$179$	0.438905	+	0.831817i	0.0328053	+	0.0621729i	−0.867484	+	0.497465i	$0.834264\pi$
$180$	−3.59242	+	2.02873i	−0.267763	+	0.151213i
$181$	12.0168	+	1.37880i	0.893202	+	0.102485i	0.548426	−	0.836199i	$-0.315227\pi$
$181$	12.0168	+	1.37880i	0.893202	+	0.102485i	0.344777	+	0.938685i	$0.387955\pi$
$182$	10.8030	+	1.23953i	0.800769	+	0.0918797i
$183$	−3.46513	+	1.95685i	−0.256150	+	0.144654i
$184$	−8.15546	−	15.4563i	−0.601228	−	1.13945i
$185$	−0.604685	+	0.494449i	−0.0444573	+	0.0363526i
$186$	−0.279502	+	0.612024i	−0.0204941	+	0.0448758i
$187$	−20.5994	+	1.37813i	−1.50638	+	0.100779i
$188$	−0.674323	−	1.47656i	−0.0491800	−	0.107689i
$189$	7.06188	+	3.47209i	0.513676	+	0.252557i
$190$	0.948949	+	0.976445i	0.0688440	+	0.0708388i
$191$	−10.0535	−	0.574881i	−0.727447	−	0.0415969i	−0.310558	−	0.950554i	$-0.600516\pi$
$191$	−10.0535	−	0.574881i	−0.727447	−	0.0415969i	−0.416889	+	0.908958i	$0.636880\pi$
$192$	−0.216139	+	0.822278i	−0.0155985	+	0.0593428i
$193$	0.0639883	+	2.23988i	0.00460598	+	0.161230i	0.998639	+	0.0521521i	$0.0166081\pi$
$193$	0.0639883	+	2.23988i	0.00460598	+	0.161230i	−0.994033	+	0.109078i	$0.965210\pi$
$194$	2.51699	−	4.77022i	0.180709	−	0.342482i
$195$	0.204964	+	1.01154i	0.0146778	+	0.0724378i
$196$	4.13686	+	15.7383i	0.295490	+	1.12416i
$197$	−25.7146	+	7.55048i	−1.83209	+	0.537949i	−0.999864	−	0.0164912i	$-0.994750\pi$
$197$	−25.7146	+	7.55048i	−1.83209	+	0.537949i	−0.832223	+	0.554441i	$0.812932\pi$
$198$	−3.84535	−	6.23939i	−0.273277	−	0.443414i
$199$	−16.5723	−	4.86608i	−1.17478	−	0.344947i	−0.364622	−	0.931156i	$-0.618802\pi$
$199$	−16.5723	−	4.86608i	−1.17478	−	0.344947i	−0.810160	+	0.586208i	$0.800620\pi$
$200$	−0.0743418	+	2.60230i	−0.00525676	+	0.184011i
$201$	−0.339771	−	0.191878i	−0.0239656	−	0.0135340i
$202$	−5.78699	−	4.20449i	−0.407171	−	0.295827i
$203$	39.7129	+	16.7828i	2.78730	+	1.17792i
$204$	−2.70419	+	0.467978i	−0.189331	+	0.0327650i
$205$	0.239205	+	2.78501i	0.0167068	+	0.194513i
$206$	−0.136671	+	1.59124i	−0.00952234	+	0.110867i
$207$	19.2067	+	3.32385i	1.33496	+	0.231023i
$208$	2.40755	+	1.54724i	0.166934	+	0.107282i
$209$	4.09417	−	4.29524i	0.283200	−	0.297108i
$210$	0.853375	−	0.548431i	0.0588885	−	0.0378453i
$211$	−10.5035	+	4.43883i	−0.723093	+	0.305581i	−0.719577	−	0.694412i	$-0.755664\pi$
$211$	−10.5035	+	4.43883i	−0.723093	+	0.305581i	−0.00351528	+	0.999994i	$0.501119\pi$
$212$	−5.87746	−	1.36675i	−0.403666	−	0.0938685i
$213$	1.55261	+	3.98785i	0.106383	+	0.273243i
$214$	−5.53591	+	9.18028i	−0.378427	+	0.627551i
$215$	0.919709	+	2.83057i	0.0627237	+	0.193044i
$216$	−2.91223	−	3.77665i	−0.198152	−	0.256969i
$217$	4.44054	−	11.4054i	0.301443	−	0.774251i
$218$	7.40242	−	10.8257i	0.501355	−	0.733209i
$219$	−0.0172525	−	0.119994i	−0.00116582	−	0.00810842i
$220$	4.71213	−	0.0456236i	0.317692	−	0.00307594i
$221$	2.94662	−	20.4942i	0.198211	−	1.37859i
$222$	−0.135895	−	0.124723i	−0.00912066	−	0.00837086i
$223$	4.05864	−	0.232081i	0.271787	−	0.0155413i	0.0793358	−	0.996848i	$-0.474720\pi$
$223$	4.05864	−	0.232081i	0.271787	−	0.0155413i	0.192451	+	0.981307i	$0.438356\pi$
$224$	5.00039	−	24.6779i	0.334103	−	1.64886i
$225$	−2.24789	−	1.83809i	−0.149859	−	0.122539i
$226$	12.5305	−	6.16082i	0.833515	−	0.409812i
$227$	−23.8859	−	8.52249i	−1.58537	−	0.565657i	−0.611197	−	0.791479i	$-0.709312\pi$
$227$	−23.8859	−	8.52249i	−1.58537	−	0.565657i	−0.974169	+	0.225821i	$0.927493\pi$
$228$	0.481673	−	0.624644i	0.0318996	−	0.0413681i
$229$	−0.403374	−	0.668921i	−0.0266557	−	0.0442036i	0.842736	−	0.538327i	$-0.180944\pi$
$229$	−0.403374	−	0.668921i	−0.0266557	−	0.0442036i	−0.869392	+	0.494124i	$0.835489\pi$
$230$	3.34548	−	3.86089i	0.220595	−	0.254580i
$231$	−2.53053	−	3.62496i	−0.166497	−	0.238505i
$232$	−17.1105	−	19.7466i	−1.12336	−	1.29643i
$233$	−6.11316	+	18.8144i	−0.400486	+	1.23257i	0.524120	+	0.851645i	$0.324394\pi$
$233$	−6.11316	+	18.8144i	−0.400486	+	1.23257i	−0.924606	+	0.380925i	$0.875606\pi$
$234$	6.92281	−	2.47005i	0.452558	−	0.161472i
$235$	0.796229	−	0.819300i	0.0519402	−	0.0534453i
$236$	−1.91104	+	1.75394i	−0.124398	+	0.114171i
$237$	1.85809	+	2.71736i	0.120696	+	0.176512i
$238$	−19.8213	+	4.60924i	−1.28482	+	0.298772i
$239$	−14.4801	+	10.5204i	−0.936642	+	0.680510i	−0.947610	−	0.319430i	$-0.896509\pi$
$239$	−14.4801	+	10.5204i	−0.936642	+	0.680510i	0.0109683	+	0.999940i	$0.496509\pi$
$240$	0.265240	−	0.0304334i	0.0171212	−	0.00196447i
$241$	−7.27753			−0.468787			−0.234393	−	0.972142i	$-0.575310\pi$
$241$	−7.27753			−0.468787			−0.234393	+	0.972142i	$0.575310\pi$
$242$	0.401033	+	8.36176i	0.0257794	+	0.537514i
$243$	8.02233			0.514633
$244$	−18.1032	+	2.07715i	−1.15894	+	0.132976i
$245$	−9.26574	+	6.73196i	−0.591967	+	0.430089i
$246$	−0.642933	+	0.149508i	−0.0409919	+	0.00953225i
$247$	3.35900	+	4.91238i	0.213728	+	0.312567i
$248$	−5.46480	+	5.01555i	−0.347015	+	0.318488i
$249$	3.56747	−	3.67084i	0.226079	−	0.232630i
$250$	−0.716775	+	0.255745i	−0.0453328	+	0.0161747i
$251$	8.27647	−	25.4723i	0.522406	−	1.60780i	−0.246983	−	0.969020i	$-0.579439\pi$
$251$	8.27647	−	25.4723i	0.522406	−	1.60780i	0.769389	−	0.638781i	$-0.220561\pi$
$252$	11.6059	+	13.3939i	0.731104	+	0.843739i
$253$	−17.3711	−	13.9258i	−1.09211	−	0.875510i
$254$	6.86625	−	7.92408i	0.430827	−	0.497201i
$255$	−0.997442	−	1.65407i	−0.0624622	−	0.103582i
$256$	−7.82528	+	10.1480i	−0.489080	+	0.634250i
$257$	4.45969	+	1.59121i	0.278188	+	0.0992571i	0.471458	−	0.881888i	$-0.343728\pi$
$257$	4.45969	+	1.59121i	0.278188	+	0.0992571i	−0.193271	+	0.981145i	$0.561910\pi$
$258$	−0.630714	+	0.310101i	−0.0392665	+	0.0193060i
$259$	2.59755	+	2.12401i	0.161404	+	0.131979i
$260$	−0.938522	+	4.63179i	−0.0582047	+	0.287251i
$261$	29.0954	−	1.66374i	1.80096	−	0.102983i
$262$	4.83521	+	4.43772i	0.298720	+	0.274163i
$263$	0.224156	−	1.55904i	0.0138221	−	0.0961346i	−0.981743	−	0.190214i	$-0.939082\pi$
$263$	0.224156	−	1.55904i	0.0138221	−	0.0961346i	0.995565	+	0.0940797i	$0.0299908\pi$
$264$	0.406948	+	2.64812i	0.0250459	+	0.162981i
$265$	−0.604414	−	4.20379i	−0.0371288	−	0.258237i
$266$	3.30144	−	4.82820i	0.202424	−	0.296036i
$267$	−1.78633	+	4.58814i	−0.109321	+	0.280790i
$268$	−1.09107	−	1.41492i	−0.0666477	−	0.0864303i
$269$	−3.29469	−	10.1400i	−0.200881	−	0.618248i	−0.999857	−	0.0168856i	$-0.994625\pi$
$269$	−3.29469	−	10.1400i	−0.200881	−	0.618248i	0.798977	−	0.601362i	$-0.205375\pi$
$270$	0.719927	−	1.19386i	0.0438133	−	0.0726563i
$271$	5.07400	+	13.0325i	0.308224	+	0.791666i	0.997727	+	0.0673835i	$0.0214651\pi$
$271$	5.07400	+	13.0325i	0.308224	+	0.791666i	−0.689504	+	0.724282i	$0.742171\pi$
$272$	−5.21671	−	1.21309i	−0.316310	−	0.0735547i
$273$	4.08387	−	1.72586i	0.247167	−	0.104454i
$274$	2.39136	−	1.53684i	0.144467	−	0.0928436i
$275$	1.23316	+	3.07885i	0.0743625	+	0.185662i
$276$	−2.48971	−	1.60004i	−0.149863	−	0.0963111i
$277$	14.8602	+	2.57166i	0.892863	+	0.154516i	0.598448	−	0.801162i	$-0.295784\pi$
$277$	14.8602	+	2.57166i	0.892863	+	0.154516i	0.294415	+	0.955678i	$0.404875\pi$
$278$	−0.144773	+	1.68556i	−0.00868288	+	0.101093i
$279$	−0.707987	−	8.24295i	−0.0423861	−	0.493492i
$280$	11.0195	−	1.90700i	0.658541	−	0.113965i
$281$	−6.77689	−	2.86394i	−0.404276	−	0.170848i	0.177644	−	0.984095i	$-0.443153\pi$
$281$	−6.77689	−	2.86394i	−0.404276	−	0.170848i	−0.581919	+	0.813247i	$0.697698\pi$
$282$	0.218263	+	0.158577i	0.0129974	+	0.00944315i
$283$	−22.4299	−	12.6668i	−1.33332	−	0.752960i	−0.350331	−	0.936626i	$-0.613931\pi$
$283$	−22.4299	−	12.6668i	−1.33332	−	0.752960i	−0.982989	+	0.183666i	$0.941204\pi$
$284$	−0.559565	+	19.5873i	−0.0332041	+	1.16229i
$285$	0.532674	+	0.156407i	0.0315529	+	0.00926476i
$286$	−8.28598	−	1.35146i	−0.489960	−	0.0799132i
$287$	11.5212	−	3.38294i	0.680077	−	0.199689i
$288$	−4.32685	−	16.4611i	−0.254962	−	0.969977i
$289$	4.31909	+	21.3155i	0.254064	+	1.25386i
$290$	3.56443	−	6.75535i	0.209311	−	0.396688i
$291$	−0.0627976	−	2.19820i	−0.00368126	−	0.128861i
$292$	0.141116	−	0.536860i	0.00825817	−	0.0314173i
$293$	−6.64459	−	0.379951i	−0.388181	−	0.0221970i	−0.138091	−	0.990420i	$-0.544097\pi$
$293$	−6.64459	−	0.379951i	−0.388181	−	0.0221970i	−0.250090	+	0.968223i	$0.580460\pi$
$294$	−1.88493	−	1.93955i	−0.109931	−	0.113117i
$295$	−1.63832	−	0.805507i	−0.0953866	−	0.0468984i
$296$	−0.844746	−	1.84974i	−0.0490999	−	0.107514i
$297$	−5.31907	−	2.93626i	−0.308644	−	0.170379i
$298$	6.26217	−	13.7122i	0.362758	−	0.794328i
$299$	17.2851	−	14.1339i	0.999622	−	0.817387i
$300$	0.205742	+	0.389925i	0.0118785	+	0.0225123i
$301$	11.1325	−	6.28684i	0.641669	−	0.362367i
$302$	1.91415	+	0.219628i	0.110147	+	0.0126382i
$303$	−2.89751	−	0.332459i	−0.166458	−	0.0190993i
$304$	1.34042	−	0.756969i	0.0768783	−	0.0434152i
$305$	−5.98495	−	11.3427i	−0.342697	−	0.649484i
$306$	−10.6490	+	8.70761i	−0.608761	+	0.497781i
$307$	8.59544	−	18.8214i	0.490568	−	1.07419i	−0.488853	−	0.872366i	$-0.662585\pi$
$307$	8.59544	−	18.8214i	0.490568	−	1.07419i	0.979421	−	0.201828i	$-0.0646881\pi$
$308$	−4.21194	−	19.7998i	−0.239997	−	1.12820i
$309$	0.270510	+	0.592335i	0.0153888	+	0.0336967i
$310$	−1.94587	−	0.956719i	−0.110518	−	0.0543380i
$311$	−20.0056	−	20.5852i	−1.13441	−	1.16728i	−0.983909	−	0.178672i	$-0.942820\pi$
$311$	−20.0056	−	20.5852i	−1.13441	−	1.16728i	−0.150503	−	0.988610i	$-0.548089\pi$
$312$	−2.68254	−	0.153393i	−0.151869	−	0.00868417i
$313$	7.39209	−	28.1224i	0.417825	−	1.58957i	−0.342166	−	0.939640i	$-0.611160\pi$
$313$	7.39209	−	28.1224i	0.417825	−	1.58957i	0.759991	−	0.649933i	$-0.225203\pi$
$314$	0.0834991	+	2.92285i	0.00471212	+	0.164946i
$315$	−5.82098	+	11.0320i	−0.327975	+	0.621582i
$316$	2.99344	+	14.7732i	0.168394	+	0.831058i
$317$	−0.138393	−	0.526501i	−0.00777291	−	0.0295712i	0.963147	−	0.268974i	$-0.0866847\pi$
$317$	−0.138393	−	0.526501i	−0.00777291	−	0.0295712i	−0.970920	+	0.239403i	$0.923048\pi$
$318$	0.962287	−	0.282553i	0.0539624	−	0.0158448i
$319$	−30.0126	−	14.3971i	−1.68038	−	0.806081i
$320$	−2.62902	−	0.771949i	−0.146967	−	0.0431533i
$321$	−0.124817	+	4.36917i	−0.00696661	+	0.243863i
$322$	−19.1089	−	10.7913i	−1.06490	−	0.601376i
$323$	−9.01013	−	6.54625i	−0.501337	−	0.364243i
$324$	10.6569	+	4.50362i	0.592047	+	0.250201i
$325$	−3.27746	+	0.567186i	−0.181801	+	0.0314618i
$326$	1.27777	+	14.8768i	0.0707693	+	0.823952i
$327$	0.457585	−	5.32756i	0.0253045	−	0.294615i
$328$	−7.17051	−	1.24090i	−0.395925	−	0.0685175i
$329$	−4.12863	−	2.65331i	−0.227619	−	0.146282i
$330$	−0.678211	+	0.391712i	−0.0373343	+	0.0215630i
$331$	8.02987	−	5.16048i	0.441362	−	0.283646i	−0.301027	−	0.953616i	$-0.597329\pi$
$331$	8.02987	−	5.16048i	0.441362	−	0.283646i	0.742388	+	0.669970i	$0.233693\pi$
$332$	21.5899	−	9.12398i	1.18490	−	0.500743i
$333$	2.20916	+	0.513719i	0.121061	+	0.0281516i
$334$	0.419730	+	1.07807i	0.0229666	+	0.0589892i
$335$	0.649388	−	1.07689i	0.0354799	−	0.0588367i
$336$	−0.354402	−	1.09074i	−0.0193342	−	0.0595045i
$337$	1.59186	+	2.06436i	0.0867140	+	0.112453i	0.833261	−	0.552880i	$-0.186471\pi$
$337$	1.59186	+	2.06436i	0.0867140	+	0.112453i	−0.746547	+	0.665333i	$0.768290\pi$
$338$	−0.534705	+	1.37338i	−0.0290841	+	0.0747019i
$339$	3.21346	−	4.69954i	0.174531	−	0.255244i
$340$	−1.25869	−	8.75441i	−0.0682623	−	0.474775i
$341$	−3.84217	+	8.63340i	−0.208065	+	0.467525i
$342$	0.562669	−	3.91345i	0.0304257	−	0.211615i
$343$	14.0932	+	12.9347i	0.760963	+	0.698406i
$344$	−7.73561	+	0.442338i	−0.417076	+	0.0238493i
$345$	0.413656	−	2.04147i	0.0222705	−	0.109909i
$346$	−8.93707	−	7.30781i	−0.480460	−	0.392870i
$347$	8.72910	−	4.29181i	0.468603	−	0.230396i	−0.191616	−	0.981470i	$-0.561373\pi$
$347$	8.72910	−	4.29181i	0.468603	−	0.230396i	0.660219	+	0.751074i	$0.270464\pi$
$348$	−4.16749	−	1.48696i	−0.223401	−	0.0797093i
$349$	15.9595	−	20.6967i	0.854293	−	1.10787i	−0.138774	−	0.990324i	$-0.544316\pi$
$349$	15.9595	−	20.6967i	0.854293	−	1.10787i	0.993068	−	0.117543i	$-0.0375019\pi$
$350$	1.68819	+	2.79956i	0.0902378	+	0.149643i
$351$	3.99020	−	4.60493i	0.212981	−	0.245793i
$352$	−4.75986	+	18.8488i	−0.253702	+	1.00464i
$353$	−8.73749	−	10.0836i	−0.465050	−	0.536696i	0.473978	−	0.880537i	$-0.342818\pi$
$353$	−8.73749	−	10.0836i	−0.465050	−	0.536696i	−0.939028	+	0.343840i	$0.888272\pi$
$354$	0.133221	−	0.410013i	0.00708064	−	0.0217920i
$355$	−12.9894	+	4.63462i	−0.689408	+	0.245980i
$356$	−15.7125	+	16.1678i	−0.832760	+	0.856890i
$357$	−6.11298	+	5.61044i	−0.323533	+	0.296936i
$358$	−0.404005	−	0.590839i	−0.0213523	−	0.0312268i
$359$	3.04862	−	0.708927i	0.160900	−	0.0374157i	−0.145273	−	0.989392i	$-0.546406\pi$
$359$	3.04862	−	0.708927i	0.160900	−	0.0374157i	0.306173	+	0.951976i	$0.400951\pi$
$360$	6.11571	−	4.44332i	0.322326	−	0.234184i
$361$	−15.6960	+	1.80095i	−0.826105	+	0.0947867i
$362$	−9.20520			−0.483814
$363$	1.81886	+	2.88825i	0.0954652	+	0.151594i
$364$	20.3012			1.06407
$365$	0.388139	−	0.0445347i	0.0203161	−	0.00233106i
$366$	2.45013	−	1.78013i	0.128071	−	0.0930487i
$367$	34.2326	−	7.96045i	1.78693	−	0.415532i	0.803275	−	0.595608i	$-0.203089\pi$
$367$	34.2326	−	7.96045i	1.78693	−	0.415532i	0.983653	+	0.180076i	$0.0576345\pi$
$368$	−3.26010	−	4.76774i	−0.169944	−	0.248535i
$369$	5.97987	−	5.48827i	0.311300	−	0.285708i
$370$	0.414292	−	0.426297i	0.0215380	−	0.0221621i
$371$	−17.1830	+	6.13087i	−0.892095	+	0.318299i
$372$	−0.388171	+	1.19467i	−0.0201257	+	0.0619406i
$373$	14.9985	+	17.3092i	0.776594	+	0.896238i	0.996859	−	0.0792027i	$-0.0252374\pi$
$373$	14.9985	+	17.3092i	0.776594	+	0.896238i	−0.220264	+	0.975440i	$0.570692\pi$
$374$	15.4551	−	2.82899i	0.799165	−	0.146284i
$375$	−0.203200	+	0.234505i	−0.0104932	+	0.0121098i
$376$	1.53590	+	2.54701i	0.0792081	+	0.131352i
$377$	20.3852	−	26.4360i	1.04989	−	1.36152i
$378$	−5.64050	−	2.01253i	−0.290116	−	0.103513i
$379$	10.5536	−	5.18887i	0.542103	−	0.266534i	−0.149562	−	0.988752i	$-0.547786\pi$
$379$	10.5536	−	5.18887i	0.542103	−	0.266534i	0.691665	+	0.722218i	$0.256877\pi$
$380$	1.96792	+	1.60916i	0.100952	+	0.0825481i
$381$	0.848985	−	4.18991i	0.0434948	−	0.214655i
$382$	7.65106	−	0.437504i	0.391462	−	0.0223846i
$383$	19.5265	+	17.9212i	0.997756	+	0.915732i	0.996443	−	0.0842673i	$-0.0268550\pi$
$383$	19.5265	+	17.9212i	0.997756	+	0.915732i	0.00131247	+	0.999999i	$0.499582\pi$
$384$	−0.425602	+	2.96013i	−0.0217189	+	0.151058i
$385$	11.9104	−	7.81832i	0.607011	−	0.398459i
$386$	−0.242693	−	1.68796i	−0.0123527	−	0.0859151i
$387$	4.87801	−	7.13386i	0.247963	−	0.362635i
$388$	3.65332	−	9.38348i	0.185469	−	0.476374i
$389$	4.21813	+	5.47016i	0.213867	+	0.277348i	0.886599	−	0.462538i	$-0.153061\pi$
$389$	4.21813	+	5.47016i	0.213867	+	0.277348i	−0.672732	+	0.739886i	$0.734879\pi$
$390$	−0.242720	−	0.747016i	−0.0122906	−	0.0378266i
$391$	−21.5784	+	35.7837i	−1.09127	+	1.80966i
$392$	−10.8177	−	27.7850i	−0.546375	−	1.40335i
$393$	2.60637	+	0.606085i	0.131474	+	0.0305729i
$394$	18.7871	−	7.93949i	0.946479	−	0.399986i
$395$	−8.92478	+	5.73561i	−0.449054	+	0.288590i
$396$	−8.46022	−	10.7545i	−0.425142	−	0.540432i
$397$	2.70002	+	1.73520i	0.135510	+	0.0870871i	0.606640	−	0.794977i	$-0.292517\pi$
$397$	2.70002	+	1.73520i	0.135510	+	0.0870871i	−0.471129	+	0.882064i	$0.656154\pi$
$398$	12.9520	+	2.24144i	0.649227	+	0.112353i
$399$	0.204080	−	2.37606i	0.0102168	−	0.118952i
$400$	0.0736293	+	0.857251i	0.00368147	+	0.0428625i
$401$	−6.03990	+	1.04525i	−0.301618	+	0.0521971i	−0.319322	−	0.947646i	$-0.603455\pi$
$401$	−6.03990	+	1.04525i	−0.301618	+	0.0521971i	0.0177040	+	0.999843i	$0.494364\pi$
$402$	0.273537	+	0.115598i	0.0136428	+	0.00576550i
$403$	−7.66702	−	5.57042i	−0.381922	−	0.277482i
$404$	−11.6285	−	6.56692i	−0.578540	−	0.326716i
$405$	−0.232524	+	8.13940i	−0.0115542	+	0.404450i
$406$	−31.4818	−	9.24389i	−1.56241	−	0.458766i
$407$	−1.92549	−	1.73316i	−0.0954432	−	0.0859094i
$408$	4.82481	−	1.41669i	0.238864	−	0.0701367i
$409$	4.91135	+	18.6847i	0.242851	+	0.923900i	0.971117	+	0.238606i	$0.0766903\pi$
$409$	4.91135	+	18.6847i	0.242851	+	0.923900i	−0.728266	+	0.685295i	$0.759673\pi$
$410$	−0.422459	−	2.08492i	−0.0208638	−	0.102967i
$411$	0.540875	−	1.02507i	0.0266794	−	0.0505631i
$412$	0.0851464	+	2.98051i	0.00419486	+	0.146839i
$413$	−1.99368	+	7.58473i	−0.0981024	+	0.373220i
$414$	−14.8100	−	0.846867i	−0.727872	−	0.0416212i
$415$	11.4970	+	11.8302i	0.564367	+	0.580720i
$416$	−17.4961	−	8.60225i	−0.857816	−	0.421760i
$417$	0.286545	+	0.627446i	0.0140322	+	0.0307262i
$418$	−2.72288	+	3.60269i	−0.133180	+	0.176213i
$419$	−12.8744	+	28.1910i	−0.628956	+	1.37722i	0.279867	+	0.960039i	$0.409710\pi$
$419$	−12.8744	+	28.1910i	−0.628956	+	1.37722i	−0.908823	+	0.417182i	$0.863018\pi$
$420$	1.46613	−	1.19885i	0.0715396	−	0.0584976i
$421$	11.5793	+	21.9453i	0.564342	+	1.06955i	0.986613	+	0.163078i	$0.0521421\pi$
$421$	11.5793	+	21.9453i	0.564342	+	1.06955i	−0.422271	+	0.906470i	$0.638767\pi$
$422$	7.55636	−	4.26727i	0.367838	−	0.207728i
$423$	−3.29578	−	0.378156i	−0.160246	−	0.0183866i
$424$	10.9845	+	1.26035i	0.533453	+	0.0612080i
$425$	5.42026	−	3.06096i	0.262921	−	0.148478i
$426$	−1.51984	−	2.88041i	−0.0736364	−	0.139556i
$427$	−42.6489	+	34.8739i	−2.06393	+	1.68766i
$428$	−8.31428	+	18.2057i	−0.401886	+	0.880007i
$429$	−3.21271	+	1.18148i	−0.155111	+	0.0570424i
$430$	−0.940924	−	2.06034i	−0.0453754	−	0.0993582i
$431$	0.994643	+	0.489033i	0.0479103	+	0.0235559i	0.465019	−	0.885301i	$-0.346047\pi$
$431$	0.994643	+	0.489033i	0.0479103	+	0.0235559i	−0.417109	+	0.908857i	$0.636957\pi$
$432$	−1.09850	−	1.13033i	−0.0528514	−	0.0543828i
$433$	−1.60550	−	0.0918057i	−0.0771553	−	0.00441190i	0.0184685	−	0.999829i	$-0.494121\pi$
$433$	−1.60550	−	0.0918057i	−0.0771553	−	0.00441190i	−0.0956238	+	0.995418i	$0.530485\pi$
$434$	−2.36793	+	9.00855i	−0.113664	+	0.432424i
$435$	−0.0889308	−	3.11298i	−0.00426391	−	0.149256i
$436$	11.4261	−	21.6549i	0.547211	−	1.03708i
$437$	−2.38511	−	11.7710i	−0.114096	−	0.563084i
$438$	0.0234538	+	0.0892273i	0.00112066	+	0.00426345i
$439$	−27.2155	+	7.99120i	−1.29893	+	0.381399i	−0.856844	−	0.515576i	$-0.827578\pi$
$439$	−27.2155	+	7.99120i	−1.29893	+	0.381399i	−0.442082	+	0.896975i	$0.645760\pi$
$440$	−8.56817	+	1.06725i	−0.408472	+	0.0508792i
$441$	31.9094	+	9.36945i	1.51950	+	0.446164i
$442$	−0.449962	+	15.7507i	−0.0214025	+	0.749185i
$443$	9.21229	+	5.20242i	0.437689	+	0.247174i	0.694794	−	0.719209i	$-0.255496\pi$
$443$	9.21229	+	5.20242i	0.437689	+	0.247174i	−0.257104	+	0.966384i	$0.582768\pi$
$444$	−0.278601	−	0.202416i	−0.0132218	−	0.00960622i
$445$	−14.6160	−	6.17676i	−0.692863	−	0.292806i
$446$	−3.04849	+	0.527563i	−0.144350	+	0.0249808i
$447$	−0.525969	−	6.12375i	−0.0248775	−	0.289643i
$448$	−1.00724	+	11.7271i	−0.0475876	+	0.554053i
$449$	11.6568	+	2.01730i	0.550121	+	0.0952021i	0.438804	−	0.898583i	$-0.355402\pi$
$449$	11.6568	+	2.01730i	0.550121	+	0.0952021i	0.111317	+	0.993785i	$0.464493\pi$
$450$	1.85902	+	1.19472i	0.0876352	+	0.0563198i
$451$	−9.00915	+	2.18714i	−0.424224	+	0.102988i
$452$	21.9304	−	14.0938i	1.03152	−	0.662918i
$453$	0.723610	−	0.305800i	0.0339982	−	0.0143677i
$454$	18.7989	+	4.37149i	0.882274	+	0.205164i
$455$	5.18389	+	13.3147i	0.243025	+	0.624204i
$456$	−0.746344	+	1.23767i	−0.0349508	+	0.0579593i
$457$	−4.01846	−	12.3676i	−0.187976	−	0.578530i	0.812011	−	0.583642i	$-0.198373\pi$
$457$	−4.01846	−	12.3676i	−0.187976	−	0.578530i	−0.999987	+	0.00511207i	$0.998373\pi$
$458$	0.363010	+	0.470760i	0.0169624	+	0.0219972i
$459$	−4.13719	+	10.6263i	−0.193108	+	0.495993i
$460$	5.38354	−	7.87317i	0.251009	−	0.367089i
$461$	3.50113	+	24.3509i	0.163064	+	1.13413i	0.892816	+	0.450422i	$0.148726\pi$
$461$	3.50113	+	24.3509i	0.163064	+	1.13413i	−0.729752	+	0.683712i	$0.760364\pi$
$462$	2.22774	+	2.52121i	0.103644	+	0.117297i
$463$	−2.49613	+	17.3610i	−0.116005	+	0.806832i	0.845879	+	0.533375i	$0.179076\pi$
$463$	−2.49613	+	17.3610i	−0.116005	+	0.806832i	−0.961884	+	0.273458i	$0.911833\pi$
$464$	−6.36206	−	5.83905i	−0.295351	−	0.271071i
$465$	−0.882654	+	0.0504720i	−0.0409321	+	0.00234058i
$466$	2.98982	−	14.7554i	0.138501	−	0.683529i
$467$	0.809534	+	0.661953i	0.0374608	+	0.0306315i	0.651558	−	0.758599i	$-0.274116\pi$
$467$	0.809534	+	0.661953i	0.0374608	+	0.0306315i	−0.614097	+	0.789231i	$0.710480\pi$
$468$	12.3148	−	6.05476i	0.569250	−	0.279881i
$469$	−5.08784	−	1.81534i	−0.234935	−	0.0838246i
$470$	−0.530932	+	0.688525i	−0.0244901	+	0.0317593i
$471$	0.615657	+	1.02095i	0.0283680	+	0.0470430i
$472$	3.11241	−	3.59191i	0.143260	−	0.165331i
$473$	−8.81571	+	4.44089i	−0.405347	+	0.204192i
$474$	−1.64058	−	1.89333i	−0.0753545	−	0.0869637i
$475$	−0.552875	+	1.70158i	−0.0253677	+	0.0780736i
$476$	−35.7836	+	12.7676i	−1.64014	+	0.585200i
$477$	−8.59473	+	8.84377i	−0.393526	+	0.404928i
$478$	10.0354	−	9.21038i	0.459007	−	0.421273i
$479$	5.16020	+	7.54655i	0.235776	+	0.344811i	0.925155	−	0.379590i	$-0.123935\pi$
$479$	5.16020	+	7.54655i	0.235776	+	0.344811i	−0.689379	+	0.724401i	$0.742117\pi$
$480$	−1.77154	+	0.411953i	−0.0808592	+	0.0188030i
$481$	2.10190	−	1.52712i	0.0958383	−	0.0696306i
$482$	5.50234	−	0.631335i	0.250625	−	0.0287565i
$483$	−8.94778			−0.407138
$484$	2.52337	+	15.4241i	0.114699	+	0.701093i
$485$	7.08712			0.321810
$486$	−6.06547	+	0.695947i	−0.275135	+	0.0315688i
$487$	20.2839	−	14.7371i	0.919153	−	0.667804i	−0.0241602	−	0.999708i	$-0.507691\pi$
$487$	20.2839	−	14.7371i	0.919153	−	0.667804i	0.943313	+	0.331905i	$0.107691\pi$
$488$	32.5202	−	7.56224i	1.47212	−	0.342326i
$489$	3.43635	+	5.02551i	0.155397	+	0.227261i
$490$	6.42157	−	5.89367i	0.290097	−	0.266249i
$491$	−18.4751	+	19.0105i	−0.833771	+	0.857930i	−0.991574	−	0.129540i	$-0.958650\pi$
$491$	−18.4751	+	19.0105i	−0.833771	+	0.857930i	0.157803	+	0.987471i	$0.449559\pi$
$492$	−1.16069	+	0.414135i	−0.0523281	+	0.0186706i
$493$	−19.3059	+	59.4175i	−0.869494	+	2.67603i
$494$	−2.96580	−	3.42272i	−0.133438	−	0.153996i
$495$	4.89311	−	8.29487i	0.219929	−	0.372826i
$496$	−1.60538	+	1.85270i	−0.0720836	+	0.0831889i
$497$	30.5935	+	50.7337i	1.37231	+	2.27572i
$498$	−2.37882	+	3.08491i	−0.106597	+	0.138238i
$499$	−17.9901	−	6.41885i	−0.805347	−	0.287347i	−0.0988854	−	0.995099i	$-0.531528\pi$
$499$	−17.9901	−	6.41885i	−0.805347	−	0.287347i	−0.706461	+	0.707752i	$0.749710\pi$
$500$	−1.27505	+	0.626899i	−0.0570219	+	0.0280358i
$501$	0.365161	+	0.298591i	0.0163142	+	0.0133401i
$502$	−4.04785	+	19.9769i	−0.180665	+	0.891615i
$503$	6.96236	−	0.398122i	0.310436	−	0.0177514i	0.0988236	−	0.995105i	$-0.468492\pi$
$503$	6.96236	−	0.398122i	0.310436	−	0.0177514i	0.211613	+	0.977354i	$0.432128\pi$
$504$	−23.9243	−	21.9575i	−1.06567	−	0.978065i
$505$	1.33765	−	9.30353i	0.0595245	−	0.414002i
$506$	14.3419	+	9.02198i	0.637575	+	0.401076i
$507$	0.0855183	+	0.594793i	0.00379800	+	0.0264157i
$508$	11.0491	−	16.1589i	0.490226	−	0.716933i
$509$	−7.68981	+	19.7511i	−0.340845	+	0.875452i	0.652236	+	0.758016i	$0.273831\pi$
$509$	−7.68981	+	19.7511i	−0.340845	+	0.875452i	−0.993080	+	0.117436i	$0.962532\pi$
$510$	0.897632	+	1.16407i	0.0397478	+	0.0515459i
$511$	−0.518613	−	1.59613i	−0.0229421	−	0.0706085i
$512$	−4.91776	+	8.15519i	−0.217336	+	0.360412i
$513$	−1.18911	−	3.05420i	−0.0525005	−	0.134846i
$514$	−3.50989	−	0.816189i	−0.154814	−	0.0360006i
$515$	−1.93306	+	0.816917i	−0.0851807	+	0.0359976i
$516$	−1.10385	+	0.709404i	−0.0485944	+	0.0312298i
$517$	3.08690	+	2.19742i	0.135762	+	0.0966422i
$518$	−2.14820	−	1.38056i	−0.0943864	−	0.0606584i
$519$	−4.63808	−	0.802651i	−0.203589	−	0.0352325i
$520$	0.741015	−	8.62748i	0.0324956	−	0.378340i
$521$	−2.47662	−	28.8348i	−0.108503	−	1.26327i	−0.824778	−	0.565456i	$-0.808700\pi$
$521$	−2.47662	−	28.8348i	−0.108503	−	1.26327i	0.716276	−	0.697817i	$-0.245845\pi$
$522$	−21.8539	+	3.78197i	−0.956520	+	0.165532i
$523$	−18.5301	−	7.83088i	−0.810265	−	0.342421i	−0.0555350	−	0.998457i	$-0.517686\pi$
$523$	−18.5301	−	7.83088i	−0.810265	−	0.342421i	−0.754730	+	0.656036i	$0.772232\pi$
$524$	9.91279	+	7.20206i	0.433042	+	0.314623i
$525$	1.16065	+	0.655449i	0.0506549	+	0.0286061i
$526$	−0.0342297	+	1.19819i	−0.00149248	+	0.0522438i
$527$	17.0175	+	4.99678i	0.741292	+	0.217663i
$528$	0.233384	+	0.854163i	0.0101567	+	0.0371727i
$529$	−21.1685	+	6.21563i	−0.920369	+	0.270245i
$530$	0.821665	+	3.12594i	0.0356909	+	0.135782i
$531$	1.05275	+	5.19553i	0.0456855	+	0.225467i
$532$	5.09599	−	9.65797i	0.220939	−	0.418726i
$533$	−0.265501	−	9.29373i	−0.0115001	−	0.402556i
$534$	0.952566	−	3.62394i	0.0412216	−	0.156823i
$535$	−14.0635	−	0.804178i	−0.608016	−	0.0347676i
$536$	2.28165	+	2.34776i	0.0985523	+	0.101408i
$537$	−0.261892	−	0.128764i	−0.0113015	−	0.00555657i
$538$	3.37069	+	7.38078i	0.145321	+	0.318208i
$539$	−26.7361	−	26.9831i	−1.15160	−	1.16224i
$540$	1.08124	−	2.36760i	0.0465294	−	0.101885i
$541$	9.07760	−	7.42271i	0.390276	−	0.319127i	−0.417434	−	0.908707i	$-0.637070\pi$
$541$	9.07760	−	7.42271i	0.390276	−	0.319127i	0.807710	+	0.589580i	$0.200707\pi$
$542$	−4.96690	−	9.41332i	−0.213347	−	0.404337i
$543$	−3.26810	+	1.84558i	−0.140248	+	0.0792015i
$544$	36.2493	+	4.15922i	1.55418	+	0.178325i
$545$	17.1202	+	1.96436i	0.733350	+	0.0841441i
$546$	−2.93799	+	1.65916i	−0.125734	+	0.0710053i
$547$	−5.26903	−	9.98592i	−0.225287	−	0.426967i	0.745637	−	0.666352i	$-0.232145\pi$
$547$	−5.26903	−	9.98592i	−0.225287	−	0.426967i	−0.970925	+	0.239385i	$0.923054\pi$
$548$	4.10844	−	3.35945i	0.175504	−	0.143509i
$549$	−15.4700	+	33.8745i	−0.660243	+	1.44573i
$550$	−1.19946	−	2.22086i	−0.0511450	−	0.0946976i
$551$	−7.45944	−	16.3339i	−0.317783	−	0.695847i
$552$	4.86633	+	2.39261i	0.207125	+	0.101836i
$553$	31.7614	+	32.6817i	1.35063	+	1.38977i
$554$	−11.4585	−	0.655221i	−0.486825	−	0.0278377i
$555$	0.0616156	−	0.234410i	0.00261544	−	0.00995015i
$556$	0.0901935	+	3.15718i	0.00382506	+	0.133894i
$557$	16.2817	−	30.8573i	0.689878	−	1.30746i	−0.250759	−	0.968050i	$-0.580680\pi$
$557$	16.2817	−	30.8573i	0.689878	−	1.30746i	0.940637	−	0.339415i	$-0.110229\pi$
$558$	1.25038	+	6.17085i	0.0529327	+	0.261233i
$559$	−2.51663	−	9.57427i	−0.106442	−	0.404948i
$560$	3.54634	−	1.04130i	0.149860	−	0.0440029i
$561$	4.91981	−	4.10302i	0.207714	−	0.173230i
$562$	5.37228	+	1.57744i	0.226616	+	0.0665404i
$563$	0.537502	−	18.8150i	0.0226530	−	0.792959i	−0.906273	−	0.422693i	$-0.861085\pi$
$563$	0.537502	−	18.8150i	0.0226530	−	0.792959i	0.928926	−	0.370266i	$-0.120733\pi$
$564$	0.438583	+	0.247679i	0.0184677	+	0.0104292i
$565$	14.8435	+	10.7844i	0.624470	+	0.453704i
$566$	18.0575	+	7.63117i	0.759014	+	0.320762i
$567$	34.4664	−	5.96465i	1.44745	−	0.250492i
$568$	−3.07251	−	35.7726i	−0.128920	−	1.50098i
$569$	−3.84181	+	44.7294i	−0.161057	+	1.87515i	0.256557	+	0.966529i	$0.417412\pi$
$569$	−3.84181	+	44.7294i	−0.161057	+	1.87515i	−0.417614	+	0.908625i	$0.637134\pi$
$570$	−0.416309	−	0.0720451i	−0.0174373	−	0.00301764i
$571$	21.2259	+	13.6410i	0.888275	+	0.570860i	0.903291	−	0.429028i	$-0.141144\pi$
$571$	21.2259	+	13.6410i	0.888275	+	0.570860i	−0.0150165	+	0.999887i	$0.504780\pi$
$572$	−15.6565	−	0.743269i	−0.654630	−	0.0310777i
$573$	2.62862	−	1.68931i	0.109812	−	0.0705721i
$574$	−8.41742	+	3.55723i	−0.351336	+	0.148476i
$575$	6.53838	+	1.52044i	0.272669	+	0.0634065i
$576$	2.88657	+	7.41410i	0.120274	+	0.308921i
$577$	12.0962	−	20.0593i	0.503572	−	0.835080i	−0.495873	−	0.868395i	$-0.665152\pi$
$577$	12.0962	−	20.0593i	0.503572	−	0.835080i	0.999445	+	0.0333150i	$0.0106065\pi$
$578$	−5.11470	−	15.7414i	−0.212743	−	0.654757i
$579$	−0.424588	−	0.550616i	−0.0176453	−	0.0228828i
$580$	5.17365	−	13.2884i	0.214824	−	0.551771i
$581$	39.9988	−	58.4963i	1.65943	−	2.42684i
$582$	0.238176	+	1.65655i	0.00987273	+	0.0686664i
$583$	13.4761	−	4.09908i	0.558125	−	0.169767i
$584$	−0.144748	+	1.00674i	−0.00598971	+	0.0416593i
$585$	7.11564	+	6.53068i	0.294196	+	0.270010i
$586$	5.05676	−	0.289156i	0.208893	−	0.0119449i
$587$	6.16497	−	30.4253i	0.254456	−	1.25579i	−0.625309	−	0.780377i	$-0.715027\pi$
$587$	6.16497	−	30.4253i	0.254456	−	1.25579i	0.879764	−	0.475410i	$-0.157700\pi$
$588$	−3.90894	−	3.19633i	−0.161202	−	0.131814i
$589$	−4.57461	+	2.24919i	−0.188494	+	0.0926761i
$590$	1.30857	+	0.466896i	0.0538729	+	0.0192218i
$591$	5.07812	−	6.58543i	0.208886	−	0.270888i
$592$	−0.347054	−	0.575524i	−0.0142638	−	0.0236539i
$593$	−13.1613	+	15.1890i	−0.540471	+	0.623737i	−0.958636	−	0.284634i	$-0.908128\pi$
$593$	−13.1613	+	15.1890i	−0.540471	+	0.623737i	0.418165	+	0.908371i	$0.362673\pi$
$594$	4.27633	+	1.75859i	0.175460	+	0.0721560i
$595$	−17.5110	−	20.2088i	−0.717883	−	0.828481i
$596$	8.69686	−	26.7662i	0.356237	−	1.09639i
$597$	5.04773	−	1.80103i	0.206590	−	0.0737111i
$598$	−11.8426	+	12.1858i	−0.484282	+	0.498314i
$599$	−1.08998	+	1.00037i	−0.0445353	+	0.0408741i	−0.698134	−	0.715968i	$-0.745986\pi$
$599$	−1.08998	+	1.00037i	−0.0445353	+	0.0408741i	0.653598	+	0.756842i	$0.273259\pi$
$600$	−0.455964	−	0.666826i	−0.0186146	−	0.0272230i
$601$	−7.08643	+	1.64788i	−0.289062	+	0.0672184i	−0.368520	−	0.929620i	$-0.620135\pi$
$601$	−7.08643	+	1.64788i	−0.289062	+	0.0672184i	0.0794585	+	0.996838i	$0.474681\pi$
$602$	−7.87162	+	5.71907i	−0.320823	+	0.233092i
$603$	−3.62773	+	0.416243i	−0.147732	+	0.0169507i
$604$	3.59710			0.146364
$605$	−9.47168	+	5.59351i	−0.385078	+	0.227408i
$606$	2.21957			0.0901640
$607$	−2.30857	+	0.264883i	−0.0937019	+	0.0107513i	−0.160716	−	0.987001i	$-0.551380\pi$
$607$	−2.30857	+	0.264883i	−0.0937019	+	0.0107513i	0.0670137	+	0.997752i	$0.478653\pi$
$608$	−8.48425	+	6.16417i	−0.344082	+	0.249990i
$609$	−13.0303	+	3.03006i	−0.528012	+	0.122784i
$610$	5.50906	+	8.05674i	0.223055	+	0.326208i
$611$	−2.79965	+	2.56950i	−0.113262	+	0.103951i
$612$	−17.8986	+	18.4172i	−0.723507	+	0.744471i
$613$	−0.397856	+	0.141955i	−0.0160692	+	0.00573350i	−0.344072	−	0.938943i	$-0.611806\pi$
$613$	−0.397856	+	0.141955i	−0.0160692	+	0.00573350i	0.328003	+	0.944677i	$0.393625\pi$
$614$	−4.86600	+	14.9760i	−0.196376	+	0.604383i
$615$	−0.567997	−	0.655504i	−0.0229039	−	0.0264325i
$616$	11.8027	+	35.1628i	0.475543	+	1.41675i
$617$	−10.3574	+	11.9531i	−0.416973	+	0.481212i	−0.924912	−	0.380180i	$-0.875862\pi$
$617$	−10.3574	+	11.9531i	−0.416973	+	0.481212i	0.507940	+	0.861393i	$0.330407\pi$
$618$	−0.255911	−	0.424381i	−0.0102943	−	0.0170711i
$619$	−4.69730	+	6.09157i	−0.188801	+	0.244841i	−0.876783	−	0.480887i	$-0.840315\pi$
$619$	−4.69730	+	6.09157i	−0.188801	+	0.244841i	0.687982	+	0.725727i	$0.258497\pi$
$620$	−3.81281	−	1.36041i	−0.153126	−	0.0546353i
$621$	−11.0355	+	5.42579i	−0.442839	+	0.217729i
$622$	16.9115	+	13.8284i	0.678088	+	0.554470i
$623$	−13.5364	+	66.8047i	−0.542324	+	2.67647i
$624$	−0.886574	+	0.0506961i	−0.0354913	+	0.00202947i
$625$	−0.736741	−	0.676175i	−0.0294696	−	0.0270470i
$626$	−3.14930	+	21.9039i	−0.125871	+	0.875455i
$627$	−0.244382	+	1.82497i	−0.00975967	+	0.0728825i
$628$	0.776911	+	5.40353i	0.0310021	+	0.215624i
$629$	−2.74447	+	4.01365i	−0.109429	+	0.160035i
$630$	3.44405	−	8.84597i	0.137214	−	0.352432i
$631$	4.98152	+	6.46015i	0.198311	+	0.257174i	0.880548	−	0.473957i	$-0.157175\pi$
$631$	4.98152	+	6.46015i	0.198311	+	0.257174i	−0.682237	+	0.731131i	$0.738993\pi$
$632$	−8.53469	−	26.2671i	−0.339492	−	1.04485i
$633$	1.82716	−	3.03000i	0.0726230	−	0.120432i
$634$	0.150310	+	0.386067i	0.00596956	+	0.0153327i
$635$	13.4193	+	3.12053i	0.532530	+	0.123835i
$636$	1.72472	−	0.728872i	0.0683896	−	0.0289017i
$637$	32.0475	−	20.5957i	1.26977	−	0.816031i
$638$	23.9406	+	8.28160i	0.947819	+	0.327872i
$639$	33.6893	+	21.6508i	1.33273	+	0.856493i
$640$	−9.49666	−	1.64346i	−0.375389	−	0.0649636i
$641$	−0.118013	+	1.37400i	−0.00466124	+	0.0542699i	−0.998293	−	0.0584083i	$-0.981397\pi$
$641$	−0.118013	+	1.37400i	−0.00466124	+	0.0542699i	0.993632	+	0.112678i	$0.0359429\pi$
$642$	−0.284660	−	3.31424i	−0.0112346	−	0.130803i
$643$	−28.7894	+	4.98220i	−1.13534	+	0.196479i	−0.707052	−	0.707162i	$-0.749975\pi$
$643$	−28.7894	+	4.98220i	−1.13534	+	0.196479i	−0.428291	+	0.903641i	$0.640884\pi$
$644$	−37.7398	−	15.9490i	−1.48716	−	0.628478i
$645$	−0.747138	−	0.542827i	−0.0294185	−	0.0213738i
$646$	7.38021	+	4.16780i	0.290371	+	0.163980i
$647$	0.332296	−	11.6319i	0.0130639	−	0.457296i	−0.966558	−	0.256447i	$-0.917448\pi$
$647$	0.332296	−	11.6319i	0.0130639	−	0.457296i	0.979622	−	0.200849i	$-0.0643700\pi$
$648$	−20.3398	−	5.97230i	−0.799023	−	0.234614i
$649$	1.81524	−	5.77643i	0.0712543	−	0.226745i
$650$	2.42879	−	0.713158i	0.0952651	−	0.0279724i
$651$	0.965474	+	3.67304i	0.0378399	+	0.143958i
$652$	5.53608	+	27.3216i	0.216810	+	1.07000i
$653$	−1.96301	+	3.72032i	−0.0768186	+	0.145587i	−0.919841	−	0.392290i	$-0.871683\pi$
$653$	−1.96301	+	3.72032i	−0.0768186	+	0.145587i	0.843023	+	0.537878i	$0.180774\pi$
$654$	0.116205	+	4.06772i	0.00454399	+	0.159060i
$655$	−2.19232	+	8.34044i	−0.0856609	+	0.325888i
$656$	−2.40114	−	0.137302i	−0.0937488	−	0.00536075i
$657$	−0.790633	−	0.813542i	−0.0308455	−	0.0317393i
$658$	3.35172	+	1.64793i	0.130664	+	0.0642430i
$659$	6.59813	+	14.4479i	0.257026	+	0.562810i	0.993523	−	0.113632i	$-0.0362485\pi$
$659$	6.59813	+	14.4479i	0.257026	+	0.562810i	−0.736496	+	0.676441i	$0.763521\pi$
$660$	−1.17458	+	0.870884i	−0.0457206	+	0.0338991i
$661$	−7.20214	+	15.7705i	−0.280131	+	0.613401i	−0.996433	−	0.0843895i	$-0.973106\pi$
$661$	−7.20214	+	15.7705i	−0.280131	+	0.613401i	0.716302	+	0.697790i	$0.245833\pi$
$662$	−5.62349	+	4.59831i	−0.218563	+	0.178718i
$663$	2.99817	+	5.68216i	0.116439	+	0.220677i
$664$	−37.3954	+	21.1182i	−1.45122	+	0.819544i
$665$	7.63553	+	0.876096i	0.296093	+	0.0339735i
$666$	−1.71485	−	0.196761i	−0.0664492	−	0.00762434i
$667$	−58.6647	+	33.1295i	−2.27151	+	1.28278i
$668$	1.00795	+	1.91027i	0.0389987	+	0.0739108i
$669$	−0.976528	+	0.798503i	−0.0377547	+	0.0308719i
$670$	−0.397563	+	0.870542i	−0.0153592	+	0.0336320i
$671$	34.1681	−	25.3336i	1.31905	−	0.977994i
$672$	3.24566	+	7.10699i	0.125204	+	0.274158i
$673$	−39.2175	−	19.2820i	−1.51172	−	0.743265i	−0.518027	−	0.855364i	$-0.673333\pi$
$673$	−39.2175	−	19.2820i	−1.51172	−	0.743265i	−0.993697	+	0.112099i	$0.964243\pi$
$674$	−1.38265	−	1.42271i	−0.0532576	−	0.0548007i
$675$	1.82891	+	0.104581i	0.0703946	+	0.00402531i
$676$	−0.699491	+	2.66114i	−0.0269035	+	0.102352i
$677$	−0.831128	−	29.0933i	−0.0319428	−	1.11815i	−0.844598	−	0.535401i	$-0.820161\pi$
$677$	−0.831128	−	29.0933i	−0.0319428	−	1.11815i	0.812655	−	0.582745i	$-0.198021\pi$
$678$	−2.02192	+	3.83197i	−0.0776515	+	0.147166i
$679$	−6.04593	−	29.8378i	−0.232021	−	1.14507i
$680$	4.11975	+	15.6731i	0.157985	+	0.601038i
$681$	7.55057	−	2.21705i	0.289339	−	0.0849575i
$682$	2.15600	−	6.86080i	0.0825574	−	0.262714i
$683$	−32.8889	−	9.65706i	−1.25846	−	0.369517i	−0.416539	−	0.909118i	$-0.636757\pi$
$683$	−32.8889	−	9.65706i	−1.25846	−	0.369517i	−0.841921	+	0.539601i	$0.818575\pi$
$684$	0.210785	−	7.37842i	0.00805955	−	0.282121i
$685$	3.25242	+	1.83672i	0.124268	+	0.0701776i
$686$	−11.7776	−	8.55694i	−0.449671	−	0.326705i
$687$	0.223263	+	0.0943518i	0.00851802	+	0.00359974i
$688$	−2.52327	+	0.436670i	−0.0961989	+	0.0166479i
$689$	1.20886	+	14.0745i	0.0460539	+	0.536196i
$690$	−0.135654	+	1.57939i	−0.00516425	+	0.0601262i
$691$	38.9474	+	6.74011i	1.48163	+	0.256406i	0.853250	−	0.521501i	$-0.174628\pi$
$691$	38.9474	+	6.74011i	1.48163	+	0.256406i	0.628379	+	0.777907i	$0.283719\pi$
$692$	−18.1317	−	11.6526i	−0.689265	−	0.442964i
$693$	−39.0968	−	13.5245i	−1.48517	−	0.513752i
$694$	−6.22752	+	4.00218i	−0.236393	+	0.151921i
$695$	−2.04764	+	0.865340i	−0.0776714	+	0.0328242i
$696$	7.89684	+	1.83633i	0.299329	+	0.0696060i
$697$	6.31288	+	16.2145i	0.239117	+	0.614168i
$698$	−10.2711	+	17.0327i	−0.388767	+	0.644697i
$699$	−1.89688	−	5.83800i	−0.0717467	−	0.220814i
$700$	3.72706	+	4.83334i	0.140870	+	0.182683i
$701$	7.09057	−	18.2120i	0.267807	−	0.687857i	−0.732170	−	0.681122i	$-0.761492\pi$
$701$	7.09057	−	18.2120i	0.267807	−	0.687857i	0.999977	−	0.00673520i	$-0.00214390\pi$
$702$	−2.61740	+	3.82782i	−0.0987872	+	0.144472i
$703$	−0.198886	−	1.38328i	−0.00750112	−	0.0521715i
$704$	1.20615	−	9.00717i	0.0454584	−	0.339471i
$705$	−0.0504509	+	0.350894i	−0.00190009	+	0.0132154i
$706$	7.48095	+	6.86595i	0.281549	+	0.258404i
$707$	−40.3104	+	2.30503i	−1.51603	+	0.0866895i
$708$	0.159841	−	0.788846i	0.00600719	−	0.0296466i
$709$	3.49371	+	2.85679i	0.131209	+	0.107289i	0.696340	−	0.717712i	$-0.254811\pi$
$709$	3.49371	+	2.85679i	0.131209	+	0.107289i	−0.565131	+	0.825001i	$0.691174\pi$
$710$	9.41890	−	4.63096i	0.353485	−	0.173797i
$711$	29.0138	+	10.3521i	1.08810	+	0.388234i
$712$	25.2253	−	32.7127i	0.945356	−	1.22596i
$713$	9.87676	+	16.3788i	0.369887	+	0.613390i
$714$	4.13515	−	4.77221i	0.154754	−	0.178596i
$715$	−3.51039	−	10.4582i	−0.131281	−	0.391116i
$716$	−0.875091	−	1.00991i	−0.0327037	−	0.0377421i
$717$	1.71622	−	5.28197i	0.0640933	−	0.197259i
$718$	−2.24348	+	0.800473i	−0.0837260	+	0.0298734i
$719$	12.9185	−	13.2929i	0.481781	−	0.495740i	−0.432042	−	0.901853i	$-0.642207\pi$
$719$	12.9185	−	13.2929i	0.481781	−	0.495740i	0.913823	+	0.406113i	$0.133116\pi$
$720$	1.84066	−	1.68934i	0.0685973	−	0.0629580i
$721$	5.08840	+	7.44155i	0.189502	+	0.277138i
$722$	11.7111	−	2.72329i	0.435841	−	0.101351i
$723$	1.82691	−	1.32733i	0.0679434	−	0.0493638i
$724$	−17.0738	+	1.95904i	−0.634543	+	0.0728071i
$725$	10.0364			0.372744
$726$	−1.62575	−	2.02594i	−0.0603372	−	0.0751898i
$727$	12.3584			0.458349			0.229175	−	0.973385i	$-0.426397\pi$
$727$	12.3584			0.458349			0.229175	+	0.973385i	$0.426397\pi$
$728$	−36.9551	+	4.24020i	−1.36965	+	0.157152i
$729$	17.7489	−	12.8954i	0.657368	−	0.477606i
$730$	−0.289598	+	0.0673430i	−0.0107185	+	0.00249248i
$731$	10.4572	+	15.2932i	0.386775	+	0.565641i
$732$	4.16567	−	3.82321i	0.153967	−	0.141310i
$733$	22.9556	−	23.6207i	0.847884	−	0.872452i	−0.145255	−	0.989394i	$-0.546400\pi$
$733$	22.9556	−	23.6207i	0.847884	−	0.872452i	0.993139	+	0.116942i	$0.0373092\pi$
$734$	−25.1918	+	8.98841i	−0.929845	+	0.331768i
$735$	1.09820	−	3.37990i	0.0405076	−	0.124669i
$736$	25.7671	+	29.7368i	0.949789	+	1.09611i
$737$	3.85734	+	1.58629i	0.142087	+	0.0584316i
$738$	−4.04510	+	4.66830i	−0.148902	+	0.171842i
$739$	−13.0921	−	21.7109i	−0.481602	−	0.798647i	0.516744	−	0.856140i	$-0.327144\pi$
$739$	−13.0921	−	21.7109i	−0.481602	−	0.798647i	−0.998346	+	0.0574932i	$0.981689\pi$
$740$	0.677706	−	0.878865i	0.0249130	−	0.0323077i
$741$	−1.73918	−	0.620537i	−0.0638903	−	0.0227960i
$742$	12.4597	−	6.12603i	0.457410	−	0.224893i
$743$	−0.636879	−	0.520774i	−0.0233648	−	0.0191053i	0.621258	−	0.783606i	$-0.286622\pi$
$743$	−0.636879	−	0.520774i	−0.0233648	−	0.0191053i	−0.644623	+	0.764501i	$0.722986\pi$
$744$	0.457080	−	2.25578i	0.0167574	−	0.0827009i
$745$	19.7756	−	1.13081i	0.724522	−	0.0414297i
$746$	−12.8416	−	11.7859i	−0.470164	−	0.431512i
$747$	6.81705	−	47.4136i	0.249423	−	1.73477i
$748$	28.0641	−	8.53636i	1.02613	−	0.312120i
$749$	8.61164	+	59.8953i	0.314662	+	2.18853i
$750$	0.133290	−	0.194931i	0.00486708	−	0.00711788i
$751$	4.10678	−	10.5482i	0.149859	−	0.384908i	−0.836845	−	0.547440i	$-0.815602\pi$
$751$	4.10678	−	10.5482i	0.149859	−	0.384908i	0.986703	+	0.162532i	$0.0519660\pi$
$752$	0.600259	+	0.778430i	0.0218892	+	0.0283864i
$753$	2.56815	+	7.90394i	0.0935885	+	0.288036i
$754$	−13.1193	+	21.7560i	−0.477778	+	0.792306i
$755$	0.918519	+	2.35920i	0.0334283	+	0.0858600i
$756$	−10.8903	−	2.53244i	−0.396077	−	0.0921038i
$757$	16.3383	−	6.90462i	0.593826	−	0.250953i	−0.0715799	−	0.997435i	$-0.522804\pi$
$757$	16.3383	−	6.90462i	0.593826	−	0.250953i	0.665406	+	0.746482i	$0.268259\pi$
$758$	−7.52917	+	4.83870i	−0.273472	+	0.175750i
$759$	6.90062	+	0.327598i	0.250477	+	0.0118910i
$760$	−3.91838	−	2.51819i	−0.142135	−	0.0913444i
$761$	−28.4073	−	4.91607i	−1.02976	−	0.178208i	−0.369491	−	0.929234i	$-0.620468\pi$
$761$	−28.4073	−	4.91607i	−1.02976	−	0.178208i	−0.660272	+	0.751027i	$0.729559\pi$
$762$	−0.278415	+	3.24153i	−0.0100859	+	0.117428i
$763$	−6.33477	−	73.7544i	−0.229334	−	2.67009i
$764$	14.0981	−	2.43977i	0.510051	−	0.0882678i
$765$	−16.6495	−	7.03613i	−0.601964	−	0.254392i
$766$	−16.3181	−	11.8558i	−0.589598	−	0.428368i
$767$	5.28749	+	2.98598i	0.190920	+	0.107818i
$768$	0.113549	−	3.97472i	0.00409733	−	0.143425i
$769$	35.8247	+	10.5191i	1.29187	+	0.379328i	0.854265	−	0.519838i	$-0.174008\pi$
$769$	35.8247	+	10.5191i	1.29187	+	0.379328i	0.437608	+	0.899166i	$0.355826\pi$
$770$	−8.32689	+	6.94447i	−0.300080	+	0.250261i
$771$	−1.40975	+	0.413940i	−0.0507709	+	0.0149077i
$772$	−0.809377	−	3.07919i	−0.0291301	−	0.110822i
$773$	−2.98501	−	14.7316i	−0.107363	−	0.529859i	−0.997278	−	0.0737321i	$-0.976509\pi$
$773$	−2.98501	−	14.7316i	−0.107363	−	0.529859i	0.889915	−	0.456127i	$-0.150764\pi$
$774$	−3.06926	+	5.81690i	−0.110322	+	0.209084i
$775$	−0.0813622	−	2.84805i	−0.00292261	−	0.102305i
$776$	−4.69042	+	17.8442i	−0.168376	+	0.640570i
$777$	−1.03946	−	0.0594387i	−0.0372906	−	0.00213235i
$778$	−3.66375	−	3.76991i	−0.131352	−	0.135158i
$779$	−4.48800	−	2.20660i	−0.160799	−	0.0790597i
$780$	−0.609177	−	1.33391i	−0.0218120	−	0.0477617i
$781$	−21.7366	−	40.2465i	−0.777796	−	1.44013i
$782$	13.2105	−	28.9271i	0.472408	−	1.03443i
$783$	−14.2331	+	11.6384i	−0.508650	+	0.415921i
$784$	−4.59869	−	8.71548i	−0.164239	−	0.311267i
$785$	−3.34558	+	1.88933i	−0.119409	+	0.0674332i
$786$	−2.02318	−	0.232139i	−0.0721646	−	0.00828011i
$787$	9.13568	+	1.04822i	0.325652	+	0.0373650i	0.275276	−	0.961365i	$-0.411231\pi$
$787$	9.13568	+	1.04822i	0.325652	+	0.0373650i	0.0503758	+	0.998730i	$0.483958\pi$
$788$	33.1566	−	18.7244i	1.18116	−	0.667030i
$789$	0.228078	+	0.432255i	0.00811978	+	0.0153887i
$790$	6.25021	−	5.11077i	0.222373	−	0.181833i
$791$	32.7412	−	71.6933i	1.16414	−	2.54912i
$792$	17.6467	+	17.8098i	0.627050	+	0.632843i
$793$	17.7207	+	38.8029i	0.629280	+	1.37793i
$794$	−2.19194	−	1.07771i	−0.0777892	−	0.0382464i
$795$	0.918444	+	0.945057i	0.0325739	+	0.0335177i
$796$	24.5005	+	1.40099i	0.868397	+	0.0496567i
$797$	−2.82004	+	10.7285i	−0.0998908	+	0.380024i	−0.998243	−	0.0592518i	$-0.981129\pi$
$797$	−2.82004	+	10.7285i	−0.0998908	+	0.380024i	0.898352	+	0.439276i	$0.144765\pi$
$798$	0.0518270	+	1.81418i	0.00183466	+	0.0642214i
$799$	3.31879	−	6.28981i	0.117410	−	0.222518i
$800$	−1.16404	−	5.74478i	−0.0411552	−	0.203109i
$801$	11.7131	+	44.5611i	0.413861	+	1.57449i
$802$	4.47593	−	1.31425i	0.158051	−	0.0464078i
$803$	0.341522	+	1.24994i	0.0120521	+	0.0441094i
$804$	0.531959	+	0.156197i	0.0187608	+	0.00550865i
$805$	0.823453	−	28.8246i	0.0290229	−	1.01593i
$806$	6.28007	+	3.54652i	0.221206	+	0.124921i
$807$	2.67649	+	1.94458i	0.0942168	+	0.0684525i
$808$	22.5395	+	9.52526i	0.792936	+	0.335098i
$809$	−7.29549	+	1.26253i	−0.256496	+	0.0443884i	−0.297320	−	0.954778i	$-0.596093\pi$
$809$	−7.29549	+	1.26253i	−0.256496	+	0.0443884i	0.0408238	+	0.999166i	$0.487002\pi$
$810$	−0.530299	−	6.17415i	−0.0186328	−	0.216938i
$811$	3.82569	−	44.5417i	0.134338	−	1.56407i	−0.550161	−	0.835058i	$-0.685434\pi$
$811$	3.82569	−	44.5417i	0.134338	−	1.56407i	0.684500	−	0.729013i	$-0.260021\pi$
$812$	−60.3597	−	10.4457i	−2.11821	−	0.366571i
$813$	−3.65070	−	2.34616i	−0.128036	−	0.0822834i
$814$	1.60617	+	1.14335i	0.0562961	+	0.0400746i
$815$	−16.5055	+	10.6075i	−0.578164	+	0.371563i
$816$	1.53082	−	0.646932i	0.0535896	−	0.0226471i
$817$	−5.18654	−	1.20608i	−0.181454	−	0.0421953i
$818$	−5.33427	−	13.7010i	−0.186508	−	0.479043i
$819$	21.4248	−	35.5291i	0.748645	−	1.24149i
$820$	−1.22729	−	3.77720i	−0.0428587	−	0.131906i
$821$	−8.71138	−	11.2971i	−0.304029	−	0.394272i	0.614958	−	0.788560i	$-0.289173\pi$
$821$	−8.71138	−	11.2971i	−0.304029	−	0.394272i	−0.918987	+	0.394288i	$0.870991\pi$
$822$	−0.320015	+	0.821951i	−0.0111618	+	0.0286688i
$823$	6.35915	−	9.29996i	0.221666	−	0.324176i	−0.698569	−	0.715543i	$-0.746179\pi$
$823$	6.35915	−	9.29996i	0.221666	−	0.324176i	0.920235	+	0.391367i	$0.127998\pi$
$824$	−0.777521	−	5.40777i	−0.0270862	−	0.188389i
$825$	−0.871107	−	0.547983i	−0.0303281	−	0.0190783i
$826$	0.849379	−	5.90756i	0.0295537	−	0.205550i
$827$	23.0134	+	21.1215i	0.800255	+	0.734467i	0.967888	−	0.251382i	$-0.0808851\pi$
$827$	23.0134	+	21.1215i	0.800255	+	0.734467i	−0.167633	+	0.985849i	$0.553612\pi$
$828$	−27.6499	+	1.58108i	−0.960899	+	0.0549462i
$829$	−5.96797	+	29.4531i	−0.207276	+	1.02295i	0.732398	+	0.680877i	$0.238401\pi$
$829$	−5.96797	+	29.4531i	−0.207276	+	1.02295i	−0.939674	+	0.342071i	$0.888872\pi$
$830$	−9.71888	−	7.94709i	−0.337347	−	0.275847i
$831$	−4.19945	+	2.06473i	−0.145677	+	0.0716248i
$832$	8.58372	+	3.06267i	0.297587	+	0.106179i
$833$	−43.5354	+	56.4577i	−1.50841	+	1.95614i
$834$	−0.271081	−	0.449537i	−0.00938675	−	0.0155662i
$835$	−0.995494	+	1.14886i	−0.0344505	+	0.0397580i
$836$	−4.28368	+	7.26175i	−0.148154	+	0.251153i
$837$	3.41801	+	3.94460i	0.118144	+	0.136345i
$838$	7.28838	−	22.4313i	0.251773	−	0.774878i
$839$	3.25695	−	1.16208i	0.112442	−	0.0401194i	−0.279229	−	0.960225i	$-0.590079\pi$
$839$	3.25695	−	1.16208i	0.112442	−	0.0401194i	0.391671	+	0.920105i	$0.371897\pi$
$840$	−2.41846	+	2.48853i	−0.0834447	+	0.0858625i
$841$	−52.8464	+	48.5019i	−1.82229	+	1.67248i
$842$	−10.6586	−	15.5877i	−0.367320	−	0.537188i
$843$	2.22358	−	0.517070i	0.0765840	−	0.0178088i
$844$	13.1074	−	9.52308i	0.451175	−	0.327798i
$845$	−1.92395	+	0.220753i	−0.0661859	+	0.00759412i
$846$	2.52466			0.0867995
$847$	31.6296	+	35.1054i	1.08681	+	1.20624i
$848$	3.65417			0.125485
$849$	7.94092	−	0.911136i	0.272532	−	0.0312701i
$850$	−3.83257	+	2.78453i	−0.131456	+	0.0955084i
$851$	−5.10716	+	1.18762i	−0.175071	+	0.0407110i
$852$	−3.43200	−	5.01914i	−0.117578	−	0.171953i
$853$	−8.82781	+	8.10209i	−0.302259	+	0.277410i	−0.812925	−	0.582369i	$-0.802126\pi$
$853$	−8.82781	+	8.10209i	−0.302259	+	0.277410i	0.510666	+	0.859779i	$0.329399\pi$
$854$	29.2204	−	30.0670i	0.999900	−	1.02887i
$855$	4.89304	−	1.74583i	0.167338	−	0.0597062i
$856$	11.3323	−	34.8773i	0.387330	−	1.19208i
$857$	−20.4132	−	23.5581i	−0.697301	−	0.804728i	0.291084	−	0.956697i	$-0.405984\pi$
$857$	−20.4132	−	23.5581i	−0.697301	−	0.804728i	−0.988385	+	0.151969i	$0.951438\pi$
$858$	2.32655	−	1.17199i	0.0794271	−	0.0400112i
$859$	−10.2222	+	11.7970i	−0.348776	+	0.402509i	−0.902848	−	0.429960i	$-0.858528\pi$
$859$	−10.2222	+	11.7970i	−0.348776	+	0.402509i	0.554072	+	0.832469i	$0.313073\pi$
$860$	−2.18370	−	3.62127i	−0.0744637	−	0.123484i
$861$	−2.27522	+	2.95055i	−0.0775392	+	0.100555i
$862$	−0.794447	−	0.283458i	−0.0270590	−	0.00965462i
$863$	0.902686	−	0.443821i	0.0307278	−	0.0151078i	−0.425793	−	0.904821i	$-0.640005\pi$
$863$	0.902686	−	0.443821i	0.0307278	−	0.0151078i	0.456520	+	0.889713i	$0.349096\pi$
$864$	8.31250	+	6.79710i	0.282797	+	0.231242i
$865$	3.01252	−	14.8674i	0.102429	−	0.505505i
$866$	1.22184	−	0.0698672i	0.0415197	−	0.00237418i
$867$	−4.97191	−	4.56318i	−0.168855	−	0.154974i
$868$	−2.47486	+	17.2130i	−0.0840022	+	0.584248i
$869$	−23.2981	−	26.3673i	−0.790335	−	0.894449i
$870$	0.337294	+	2.34593i	0.0114353	+	0.0795344i
$871$	−2.36094	+	3.45277i	−0.0799975	+	0.116993i
$872$	−16.2765	+	41.8059i	−0.551192	+	1.41573i
$873$	−12.5665	−	16.2966i	−0.425312	−	0.551555i
$874$	2.82447	+	8.69283i	0.0955392	+	0.294039i
$875$	−2.21829	+	3.67862i	−0.0749919	+	0.124360i
$876$	0.0624913	+	0.160508i	0.00211139	+	0.00542305i
$877$	21.3434	+	4.96319i	0.720714	+	0.167595i	0.570782	−	0.821101i	$-0.306640\pi$
$877$	21.3434	+	4.96319i	0.720714	+	0.167595i	0.149932	+	0.988696i	$0.452095\pi$
$878$	19.8837	−	8.40291i	0.671041	−	0.283584i
$879$	1.73732	−	1.11650i	0.0585982	−	0.0376588i
$880$	−2.77310	+	0.673222i	−0.0934811	+	0.0226943i
$881$	−28.9773	−	18.6226i	−0.976269	−	0.627410i	−0.0478143	−	0.998856i	$-0.515226\pi$
$881$	−28.9773	−	18.6226i	−0.976269	−	0.627410i	−0.928454	+	0.371446i	$0.878862\pi$
$882$	−24.9387	−	4.31580i	−0.839728	−	0.145321i
$883$	−1.33488	+	15.5417i	−0.0449223	+	0.523021i	0.938938	+	0.344085i	$0.111811\pi$
$883$	−1.33488	+	15.5417i	−0.0449223	+	0.523021i	−0.983861	+	0.178936i	$0.942735\pi$
$884$	2.51746	+	29.3102i	0.0846712	+	0.985809i
$885$	0.558187	−	0.0965981i	0.0187633	−	0.00324711i
$886$	−7.41648	−	3.13423i	−0.249162	−	0.105297i
$887$	11.4368	+	8.30933i	0.384010	+	0.279000i	0.762997	−	0.646402i	$-0.223727\pi$
$887$	11.4368	+	8.30933i	0.384010	+	0.279000i	−0.378986	+	0.925402i	$0.623727\pi$
$888$	0.549427	+	0.310276i	0.0184376	+	0.0104122i
$889$	1.69005	−	59.1595i	0.0566825	−	1.98414i
$890$	11.5866	+	3.40213i	0.388383	+	0.114040i
$891$	−26.7993	+	3.33811i	−0.897809	+	0.111831i
$892$	−5.54208	+	1.62730i	−0.185562	+	0.0544861i
$893$	0.519632	+	1.97689i	0.0173888	+	0.0661539i
$894$	0.928914	+	4.58437i	0.0310675	+	0.153324i
$895$	0.438905	−	0.831817i	0.0146710	−	0.0278046i
$896$	1.18226	+	41.3844i	0.0394964	+	1.38255i
$897$	−1.76130	+	6.70067i	−0.0588080	+	0.223729i
$898$	−8.98843	−	0.513977i	−0.299948	−	0.0171516i
$899$	19.9295	+	20.5070i	0.664687	+	0.683947i
$900$	3.70238	+	1.82034i	0.123413	+	0.0606779i
$901$	−10.9823	−	24.0480i	−0.365875	−	0.801154i
$902$	6.62184	−	2.43519i	0.220483	−	0.0810831i
$903$	−1.64801	+	3.60864i	−0.0548423	+	0.120088i
$904$	−36.9772	+	30.2361i	−1.22984	+	1.00564i
$905$	−5.64464	−	10.6978i	−0.187634	−	0.355607i
$906$	−0.520573	+	0.293981i	−0.0172949	+	0.00976687i
$907$	−46.6954	−	5.35779i	−1.55049	−	0.177903i	−0.703961	−	0.710239i	$-0.748587\pi$
$907$	−46.6954	−	5.35779i	−1.55049	−	0.177903i	−0.846533	+	0.532336i	$0.821314\pi$
$908$	35.7985	+	4.10749i	1.18801	+	0.136312i
$909$	−23.7649	+	13.4207i	−0.788233	+	0.445136i
$910$	−5.07447	−	9.61719i	−0.168217	−	0.318807i
$911$	−26.0168	+	21.2738i	−0.861974	+	0.704833i	−0.956827	−	0.290659i	$-0.906126\pi$
$911$	−26.0168	+	21.2738i	−0.861974	+	0.704833i	0.0948527	+	0.995491i	$0.469762\pi$
$912$	−0.198429	+	0.434500i	−0.00657065	+	0.0143877i
$913$	−32.9891	+	43.6485i	−1.09178	+	1.44456i
$914$	4.11115	+	9.00217i	0.135985	+	0.297765i
$915$	3.57119	+	1.75584i	0.118060	+	0.0580462i
$916$	0.773499	+	0.795911i	0.0255571	+	0.0262976i
$917$	36.9847	+	2.11486i	1.22134	+	0.0698389i
$918$	2.20617	−	8.39316i	0.0728146	−	0.277015i
$919$	−0.695679	−	24.3519i	−0.0229483	−	0.803296i	−0.926823	−	0.375499i	$-0.877471\pi$
$919$	−0.695679	−	24.3519i	−0.0229483	−	0.803296i	0.903875	−	0.427798i	$-0.140710\pi$
$920$	−8.15546	+	15.4563i	−0.268878	+	0.509580i
$921$	1.27503	+	6.29250i	0.0420136	+	0.207345i
$922$	−4.75958	−	18.1073i	−0.156748	−	0.596333i
$923$	44.0147	−	12.9239i	1.44876	−	0.425395i
$924$	4.66857	+	4.20223i	0.153585	+	0.138243i
$925$	0.749464	+	0.220062i	0.0246422	+	0.00723561i
$926$	0.381170	−	13.3427i	0.0125260	−	0.438468i
$927$	5.30606	+	2.99647i	0.174274	+	0.0984170i
$928$	47.5935	+	34.5787i	1.56233	+	1.13510i
$929$	−32.3153	−	13.6566i	−1.06023	−	0.448057i	−0.211772	−	0.977319i	$-0.567923\pi$
$929$	−32.3153	−	13.6566i	−1.06023	−	0.448057i	−0.848459	+	0.529262i	$0.822469\pi$
$930$	0.662972	−	0.114732i	0.0217397	−	0.00376220i
$931$	−1.75354	−	20.4160i	−0.0574698	−	0.669109i
$932$	2.40531	−	28.0046i	0.0787886	−	0.917320i
$933$	8.77655	+	1.51884i	0.287331	+	0.0497247i
$934$	−0.669492	−	0.430257i	−0.0219065	−	0.0140784i
$935$	12.7648	+	16.2264i	0.417454	+	0.530659i
$936$	−21.1525	+	13.5939i	−0.691390	+	0.444329i
$937$	−19.6745	+	8.31452i	−0.642739	+	0.271624i	−0.686179	−	0.727432i	$-0.740714\pi$
$937$	−19.6745	+	8.31452i	−0.642739	+	0.271624i	0.0434407	+	0.999056i	$0.486168\pi$
$938$	4.00427	+	0.931152i	0.130744	+	0.0304032i
$939$	3.27349	+	8.40790i	0.106826	+	0.274381i
$940$	−0.838242	+	1.39007i	−0.0273405	+	0.0453390i
$941$	−12.4858	−	38.4275i	−0.407027	−	1.25270i	−0.919191	−	0.393812i	$-0.871156\pi$
$941$	−12.4858	−	38.4275i	−0.407027	−	1.25270i	0.512164	−	0.858887i	$-0.328844\pi$
$942$	−0.554050	−	0.718505i	−0.0180519	−	0.0234102i
$943$	−6.80777	+	17.4856i	−0.221692	+	0.569410i
$944$	0.886620	−	1.29664i	0.0288570	−	0.0422020i
$945$	−1.11992	−	7.78918i	−0.0364308	−	0.253382i
$946$	6.28007	−	4.12241i	0.204183	−	0.134031i
$947$	−0.950168	+	6.60856i	−0.0308763	+	0.214749i	−0.999418	−	0.0341003i	$-0.989143\pi$
$947$	−0.950168	+	6.60856i	−0.0308763	+	0.214749i	0.968542	+	0.248850i	$0.0800525\pi$
$948$	−3.44589	−	3.16261i	−0.111917	−	0.102717i
$949$	−1.29737	+	0.0741861i	−0.0421143	+	0.00240818i
$950$	0.270400	−	1.33448i	0.00877294	−	0.0432962i
$951$	0.130768	+	0.106929i	0.00424045	+	0.00346740i
$952$	62.4717	−	30.7153i	2.02472	−	0.995488i
$953$	24.5805	+	8.77030i	0.796240	+	0.284098i	0.702671	−	0.711515i	$-0.251991\pi$
$953$	24.5805	+	8.77030i	0.796240	+	0.284098i	0.0935690	+	0.995613i	$0.470172\pi$
$954$	5.73104	−	7.43214i	0.185549	−	0.240624i
$955$	5.20009	+	8.62338i	0.168271	+	0.279046i
$956$	16.6535	−	19.2191i	0.538612	−	0.621592i
$957$	10.1600	−	1.85974i	0.328426	−	0.0601170i
$958$	−4.55616	−	5.25809i	−0.147203	−	0.169881i
$959$	4.95828	−	15.2600i	0.160111	−	0.492772i
$960$	0.800766	−	0.285713i	0.0258446	−	0.00922134i
$961$	−15.9473	+	16.4094i	−0.514430	+	0.529336i
$962$	−1.45671	+	1.33695i	−0.0469662	+	0.0431052i
$963$	23.0874	+	33.7643i	0.743982	+	1.08804i
$964$	10.0714	−	2.34200i	0.324378	−	0.0754308i
$965$	1.81284	−	1.31711i	0.0583575	−	0.0423992i
$966$	6.76518	−	0.776232i	0.217666	−	0.0249748i
$967$	−23.2701			−0.748317			−0.374159	−	0.927365i	$-0.622068\pi$
$967$	−23.2701			−0.748317			−0.374159	+	0.927365i	$0.622068\pi$
$968$	−7.81496	−	27.5500i	−0.251182	−	0.885492i
$969$	3.45580			0.111016
$970$	−5.35838	+	0.614817i	−0.172047	+	0.0197406i
$971$	23.6132	−	17.1560i	0.757783	−	0.550561i	−0.140447	−	0.990088i	$-0.544854\pi$
$971$	23.6132	−	17.1560i	0.757783	−	0.550561i	0.898229	+	0.439527i	$0.144854\pi$
$972$	−11.1021	+	2.58169i	−0.356101	+	0.0828077i
$973$	5.39002	+	7.88265i	0.172796	+	0.252706i
$974$	−14.0577	+	12.9020i	−0.450437	+	0.413407i
$975$	0.719306	−	0.740148i	0.0230362	−	0.0237037i
$976$	10.3929	−	3.70818i	0.332668	−	0.118696i
$977$	−19.0666	+	58.6809i	−0.609994	+	1.87737i	−0.152093	+	0.988366i	$0.548601\pi$
$977$	−19.0666	+	58.6809i	−0.609994	+	1.87737i	−0.457901	+	0.889003i	$0.651399\pi$
$978$	−3.03410	−	3.50154i	−0.0970199	−	0.111967i
$979$	12.8853	−	51.0249i	0.411815	−	1.63076i
$980$	10.6565	−	12.2982i	0.340408	−	0.392852i
$981$	−25.8397	−	42.8504i	−0.824999	−	1.36811i
$982$	12.3194	−	15.9760i	0.393127	−	0.509816i
$983$	−33.8892	−	12.0916i	−1.08090	−	0.385663i	−0.265230	−	0.964185i	$-0.585448\pi$
$983$	−33.8892	−	12.0916i	−1.08090	−	0.385663i	−0.815667	+	0.578522i	$0.803630\pi$
$984$	2.02637	−	0.996297i	0.0645982	−	0.0317608i
$985$	20.7471	+	16.9648i	0.661058	+	0.540545i
$986$	9.44213	−	46.5988i	0.300699	−	1.48401i
$987$	1.52035	−	0.0869370i	0.0483934	−	0.00276723i
$988$	−6.22940	−	5.71729i	−0.198184	−	0.181891i
$989$	−2.84331	+	19.7757i	−0.0904121	+	0.628830i
$990$	−2.97996	+	6.69601i	−0.0947092	+	0.212813i
$991$	2.15925	+	15.0179i	0.0685910	+	0.477061i	0.994946	+	0.100410i	$0.0320153\pi$
$991$	2.15925	+	15.0179i	0.0685910	+	0.477061i	−0.926355	+	0.376651i	$0.877076\pi$
$992$	9.42661	−	13.7860i	0.299295	−	0.437705i
$993$	−1.07457	+	2.76000i	−0.0341003	+	0.0875860i
$994$	−27.5322	−	35.7043i	−0.873267	−	1.13247i
$995$	5.33733	+	16.4266i	0.169205	+	0.520759i
$996$	−3.75571	+	6.22815i	−0.119004	+	0.197346i
$997$	1.56564	+	4.02131i	0.0495843	+	0.127356i	0.954478	−	0.298282i	$-0.0964134\pi$
$997$	1.56564	+	4.02131i	0.0495843	+	0.127356i	−0.904894	+	0.425638i	$0.860050\pi$
$998$	14.1587	+	3.29246i	0.448185	+	0.104221i
$999$	−1.31804	+	0.557007i	−0.0417008	+	0.0176229i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	605.2.s.b.416.8	yes	880
121.16	even	55	inner	605.2.s.b.16.8	✓	880

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
605.2.s.b.16.8	✓	880	121.16	even	55	inner
605.2.s.b.416.8	yes	880	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 605 = 5 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	605.s (of order \(55\), degree \(40\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.756073 + 0.0867513i) q^{2} +(-0.251034 + 0.182387i) q^{3} +(-1.38390 + 0.321813i) q^{4} +(-0.564443 - 0.825472i) q^{5} +(0.173978 - 0.159675i) q^{6} +(-2.99384 + 3.08059i) q^{7} +(2.45196 - 0.874859i) q^{8} +(-0.897298 + 2.76160i) q^{9} +O(q^{10})\)	\(q+(-0.756073 + 0.0867513i) q^{2} +(-0.251034 + 0.182387i) q^{3} +(-1.38390 + 0.321813i) q^{4} +(-0.564443 - 0.825472i) q^{5} +(0.173978 - 0.159675i) q^{6} +(-2.99384 + 3.08059i) q^{7} +(2.45196 - 0.874859i) q^{8} +(-0.897298 + 2.76160i) q^{9} +(0.498371 + 0.575151i) q^{10} +(2.42167 - 2.26617i) q^{11} +(0.288712 - 0.333192i) q^{12} +(1.71763 + 2.84837i) q^{13} +(1.99632 - 2.58887i) q^{14} +(0.292250 + 0.104274i) q^{15} +(0.772128 - 0.379630i) q^{16} +(-4.81891 - 3.94041i) q^{17} +(0.438850 - 2.16581i) q^{18} +(1.78622 - 0.102140i) q^{19} +(1.04678 + 0.960728i) q^{20} +(0.189697 - 1.31937i) q^{21} +(-1.63436 + 1.92347i) q^{22} +(-0.955336 - 6.64451i) q^{23} +(-0.455964 + 0.666826i) q^{24} +(-0.362808 + 0.931864i) q^{25} +(-1.54575 - 2.00457i) q^{26} +(-0.566086 - 1.74223i) q^{27} +(3.15181 - 5.22669i) q^{28} +(-3.64129 - 9.35259i) q^{29} +(-0.230008 - 0.0534861i) q^{30} +(-2.62447 + 1.10911i) q^{31} +(-4.93103 + 3.16898i) q^{32} +(-0.194601 + 1.01057i) q^{33} +(3.98529 + 2.56119i) q^{34} +(4.23279 + 0.732513i) q^{35} +(0.353055 - 4.11055i) q^{36} +(-0.0668430 - 0.778239i) q^{37} +(-1.34166 + 0.232183i) q^{38} +(-0.950687 - 0.401764i) q^{39} +(-2.10617 - 1.53022i) q^{40} +(-2.43396 - 1.37452i) q^{41} +(-0.0289675 + 1.01400i) q^{42} +(-2.85568 - 0.838504i) q^{43} +(-2.62207 + 3.91548i) q^{44} +(2.78610 - 0.818072i) q^{45} +(1.29872 + 4.94086i) q^{46} +(0.226883 + 1.11971i) q^{47} +(-0.124591 + 0.236126i) q^{48} +(-0.327055 - 11.4484i) q^{49} +(0.193469 - 0.736031i) q^{50} +(1.92839 + 0.110269i) q^{51} +(-3.29367 - 3.38911i) q^{52} +(3.81127 + 1.87387i) q^{53} +(0.579144 + 1.26815i) q^{54} +(-3.23755 - 0.719894i) q^{55} +(-4.64571 + 10.1727i) q^{56} +(-0.429774 + 0.351424i) q^{57} +(3.56443 + 6.75535i) q^{58} +(1.58966 - 0.897723i) q^{59} +(-0.438002 - 0.0502561i) q^{60} +(12.7413 + 1.46193i) q^{61} +(1.88808 - 1.06625i) q^{62} +(-5.82098 - 11.0320i) q^{63} +(2.12115 - 1.73446i) q^{64} +(1.38174 - 3.02559i) q^{65} +(0.0594646 - 0.780944i) q^{66} +(0.522399 + 1.14389i) q^{67} +(7.93698 + 3.90235i) q^{68} +(1.45169 + 1.49376i) q^{69} +(-3.26384 - 0.186633i) q^{70} +(3.50605 - 13.3384i) q^{71} +(0.215868 + 7.55635i) q^{72} +(-0.182320 + 0.345535i) q^{73} +(0.118051 + 0.582607i) q^{74} +(-0.0788827 - 0.300101i) q^{75} +(-2.43909 + 0.716182i) q^{76} +(-0.268945 + 14.2447i) q^{77} +(0.753642 + 0.221289i) q^{78} +(0.302948 - 10.6046i) q^{79} +(-0.749196 - 0.423091i) q^{80} +(-6.58760 - 4.78617i) q^{81} +(1.95950 + 0.828090i) q^{82} +(-16.2549 + 2.81302i) q^{83} +(0.162068 + 1.88693i) q^{84} +(-0.532691 + 6.20201i) q^{85} +(2.23185 + 0.386236i) q^{86} +(2.61988 + 1.68369i) q^{87} +(3.95526 - 7.67519i) q^{88} +(13.3486 - 8.57864i) q^{89} +(-2.03552 + 0.860219i) q^{90} +(-13.9169 - 3.23624i) q^{91} +(3.46038 + 8.88792i) q^{92} +(0.456545 - 0.757094i) q^{93} +(-0.268677 - 0.826902i) q^{94} +(-1.09254 - 1.41683i) q^{95} +(0.659876 - 1.69488i) q^{96} +(-4.00028 + 5.85022i) q^{97} +(1.24044 + 8.62747i) q^{98} +(4.08530 + 8.72110i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 880 q + 4 q^{2} - q^{3} + 24 q^{4} + 22 q^{5} - 13 q^{6} + 3 q^{7} + 2 q^{8} - 217 q^{9}+O(q^{10}) \) 880 * q + 4 * q^2 - q^3 + 24 * q^4 + 22 * q^5 - 13 * q^6 + 3 * q^7 + 2 * q^8 - 217 * q^9	\( 880 q + 4 q^{2} - q^{3} + 24 q^{4} + 22 q^{5} - 13 q^{6} + 3 q^{7} + 2 q^{8} - 217 q^{9} - 6 q^{10} + 5 q^{11} - 5 q^{12} - 26 q^{13} - 108 q^{14} - 12 q^{15} + 34 q^{16} - q^{17} - 14 q^{18} + q^{19} + 19 q^{20} - 10 q^{21} + 275 q^{22} - 51 q^{23} + 283 q^{24} + 22 q^{25} - 16 q^{27} - 4 q^{28} - 19 q^{29} + q^{30} - 34 q^{31} - 122 q^{32} + 19 q^{33} + 52 q^{34} + 8 q^{35} - 21 q^{36} - 109 q^{37} - 10 q^{38} - 9 q^{39} - 64 q^{40} + 4 q^{41} - 49 q^{42} - 97 q^{43} + 17 q^{44} - 80 q^{45} - 91 q^{46} + 166 q^{47} - 159 q^{48} + 175 q^{49} + 4 q^{50} - 112 q^{51} - 128 q^{52} - 141 q^{53} - 37 q^{54} - 5 q^{55} + 79 q^{56} - 204 q^{57} - 190 q^{58} + 9 q^{59} - 22 q^{60} + 2 q^{61} - 105 q^{62} - q^{63} - 176 q^{64} - 14 q^{65} - 112 q^{66} - 13 q^{67} - 35 q^{68} - 53 q^{69} + 24 q^{70} - 50 q^{71} + 705 q^{72} + q^{73} + 40 q^{74} - q^{75} - 148 q^{76} - 104 q^{77} - 187 q^{78} - 83 q^{79} - q^{80} - 238 q^{81} - 54 q^{82} - 151 q^{83} + 4 q^{84} - 29 q^{85} - 39 q^{86} - 74 q^{87} - 143 q^{88} - 52 q^{89} - 28 q^{90} - 188 q^{91} - 253 q^{92} + 122 q^{93} - 187 q^{94} + 122 q^{95} - 155 q^{96} + 283 q^{97} - 92 q^{98} + 172 q^{99}+O(q^{100}) \) 880 * q + 4 * q^2 - q^3 + 24 * q^4 + 22 * q^5 - 13 * q^6 + 3 * q^7 + 2 * q^8 - 217 * q^9 - 6 * q^10 + 5 * q^11 - 5 * q^12 - 26 * q^13 - 108 * q^14 - 12 * q^15 + 34 * q^16 - q^17 - 14 * q^18 + q^19 + 19 * q^20 - 10 * q^21 + 275 * q^22 - 51 * q^23 + 283 * q^24 + 22 * q^25 - 16 * q^27 - 4 * q^28 - 19 * q^29 + q^30 - 34 * q^31 - 122 * q^32 + 19 * q^33 + 52 * q^34 + 8 * q^35 - 21 * q^36 - 109 * q^37 - 10 * q^38 - 9 * q^39 - 64 * q^40 + 4 * q^41 - 49 * q^42 - 97 * q^43 + 17 * q^44 - 80 * q^45 - 91 * q^46 + 166 * q^47 - 159 * q^48 + 175 * q^49 + 4 * q^50 - 112 * q^51 - 128 * q^52 - 141 * q^53 - 37 * q^54 - 5 * q^55 + 79 * q^56 - 204 * q^57 - 190 * q^58 + 9 * q^59 - 22 * q^60 + 2 * q^61 - 105 * q^62 - q^63 - 176 * q^64 - 14 * q^65 - 112 * q^66 - 13 * q^67 - 35 * q^68 - 53 * q^69 + 24 * q^70 - 50 * q^71 + 705 * q^72 + q^73 + 40 * q^74 - q^75 - 148 * q^76 - 104 * q^77 - 187 * q^78 - 83 * q^79 - q^80 - 238 * q^81 - 54 * q^82 - 151 * q^83 + 4 * q^84 - 29 * q^85 - 39 * q^86 - 74 * q^87 - 143 * q^88 - 52 * q^89 - 28 * q^90 - 188 * q^91 - 253 * q^92 + 122 * q^93 - 187 * q^94 + 122 * q^95 - 155 * q^96 + 283 * q^97 - 92 * q^98 + 172 * q^99

Introduction

L-functions

Modular forms

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Database

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