LMFDB - Embedded newform 483.2.bb.a.26.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(26,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([33, 55, 48]))

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

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

chi := DirichletCharacter("483.26");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.bb (of order $66$, degree $20$, 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:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$1200$
Relative dimension:	$60$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			26.20
Character	$\chi$	$=$	483.26
Dual form			483.2.bb.a.353.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.375451 + 0.937831i) q^{2} +(-1.72861 + 0.109178i) q^{3} +(0.708904 + 0.675938i) q^{4} +(0.119266 + 0.344595i) q^{5} +(0.546616 - 1.66213i) q^{6} +(-1.73289 - 1.99928i) q^{7} +(-2.73788 + 1.25035i) q^{8} +(2.97616 - 0.377452i) q^{9} +O(q^{10})$	\(q+(-0.375451 + 0.937831i) q^{2} +(-1.72861 + 0.109178i) q^{3} +(0.708904 + 0.675938i) q^{4} +(0.119266 + 0.344595i) q^{5} +(0.546616 - 1.66213i) q^{6} +(-1.73289 - 1.99928i) q^{7} +(-2.73788 + 1.25035i) q^{8} +(2.97616 - 0.377452i) q^{9} +(-0.367951 - 0.0175277i) q^{10} +(-2.00346 - 5.00440i) q^{11} +(-1.29921 - 1.09103i) q^{12} +(0.612899 - 0.953690i) q^{13} +(2.52560 - 0.874524i) q^{14} +(-0.243786 - 0.582649i) q^{15} +(-0.0514620 - 1.08032i) q^{16} +(0.0914536 + 0.376977i) q^{17} +(-0.763416 + 2.93285i) q^{18} +(-6.36270 - 1.54357i) q^{19} +(-0.148377 + 0.324901i) q^{20} +(3.21376 + 3.26677i) q^{21} +5.44549 q^{22} +(3.81621 + 2.90458i) q^{23} +(4.59621 - 2.46028i) q^{24} +(3.82574 - 3.00860i) q^{25} +(0.664286 + 0.932860i) q^{26} +(-5.10340 + 0.977397i) q^{27} +(0.122938 - 2.58862i) q^{28} +(2.49978 - 8.51347i) q^{29} +(0.637956 - 0.00987375i) q^{30} +(-0.567463 - 0.404089i) q^{31} +(-4.65620 - 1.61153i) q^{32} +(4.00957 + 8.43191i) q^{33} +(-0.387877 - 0.0557683i) q^{34} +(0.482268 - 0.835590i) q^{35} +(2.36495 + 1.74412i) q^{36} +(-1.31153 + 0.252776i) q^{37} +(3.83649 - 5.38760i) q^{38} +(-0.955339 + 1.71547i) q^{39} +(-0.757400 - 0.794339i) q^{40} +(4.17167 - 4.81437i) q^{41} +(-4.27029 + 1.78745i) q^{42} +(2.44997 - 5.36469i) q^{43} +(1.96241 - 4.90186i) q^{44} +(0.485022 + 0.980554i) q^{45} +(-4.15680 + 2.48843i) q^{46} +(-2.55341 + 4.42264i) q^{47} +(0.206905 + 1.86183i) q^{48} +(-0.994212 + 6.92904i) q^{49} +(1.38518 + 4.71748i) q^{50} +(-0.199245 - 0.641660i) q^{51} +(1.07912 - 0.261792i) q^{52} +(1.02366 - 1.98563i) q^{53} +(0.999443 - 5.15309i) q^{54} +(1.48555 - 1.28724i) q^{55} +(7.24424 + 3.30707i) q^{56} +(11.1671 + 1.97356i) q^{57} +(7.04565 + 5.54076i) q^{58} +(0.105485 - 2.21440i) q^{59} +(0.221014 - 0.577826i) q^{60} +(0.912151 - 9.55247i) q^{61} +(0.592022 - 0.380469i) q^{62} +(-5.91198 - 5.29609i) q^{63} +(4.67604 - 5.39644i) q^{64} +(0.401735 + 0.0974598i) q^{65} +(-9.41311 + 0.594528i) q^{66} +(-5.83441 + 4.58823i) q^{67} +(-0.189981 + 0.329057i) q^{68} +(-6.91383 - 4.60423i) q^{69} +(0.602574 + 0.766009i) q^{70} +(7.76319 - 1.11618i) q^{71} +(-7.67643 + 4.75466i) q^{72} +(-9.74990 + 10.2254i) q^{73} +(0.255353 - 1.32490i) q^{74} +(-6.28473 + 5.61837i) q^{75} +(-3.46718 - 5.39504i) q^{76} +(-6.53342 + 12.6775i) q^{77} +(-1.25014 - 1.54002i) q^{78} +(-11.7157 + 6.03989i) q^{79} +(0.366136 - 0.146579i) q^{80} +(8.71506 - 2.24671i) q^{81} +(2.94881 + 5.71988i) q^{82} +(-6.17132 - 7.12208i) q^{83} +(0.0701086 + 4.48813i) q^{84} +(-0.118997 + 0.0764749i) q^{85} +(4.11133 + 4.31184i) q^{86} +(-3.39165 + 14.9894i) q^{87} +(11.7425 + 11.1964i) q^{88} +(-7.03611 - 9.88083i) q^{89} +(-1.10170 + 0.0867186i) q^{90} +(-2.96877 + 0.427281i) q^{91} +(0.742007 + 4.63859i) q^{92} +(1.02504 + 0.636556i) q^{93} +(-3.18901 - 4.05516i) q^{94} +(-0.226943 - 2.37665i) q^{95} +(8.22468 + 2.27734i) q^{96} +(-8.09147 - 7.01130i) q^{97} +(-6.12499 - 3.53392i) q^{98} +(-7.85154 - 14.1377i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9}+O(q^{10}) $ 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9	$ 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9} - 54 q^{10} - 15 q^{12} - 64 q^{15} + 38 q^{16} + 43 q^{18} - 54 q^{19} - 70 q^{21} - 160 q^{22} - 66 q^{24} + 34 q^{25} - 76 q^{28} - 23 q^{30} - 54 q^{31} - 3 q^{33} - 28 q^{36} + 26 q^{37} + 5 q^{39} - 30 q^{40} - 68 q^{42} - 176 q^{43} - 96 q^{45} - 22 q^{46} - 128 q^{49} - 23 q^{51} - 102 q^{52} + 21 q^{54} - 36 q^{57} + 58 q^{58} - 43 q^{60} - 126 q^{61} + 41 q^{63} + 40 q^{64} - 132 q^{66} - 10 q^{67} + 20 q^{70} + 59 q^{72} - 30 q^{73} - 81 q^{75} + 164 q^{78} - 14 q^{79} - 97 q^{81} - 66 q^{82} + 24 q^{84} - 56 q^{85} - 399 q^{87} - 74 q^{88} - 156 q^{91} + 8 q^{93} - 126 q^{94} - 117 q^{96} + 196 q^{99}+O(q^{100}) $ 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9 - 54 * q^10 - 15 * q^12 - 64 * q^15 + 38 * q^16 + 43 * q^18 - 54 * q^19 - 70 * q^21 - 160 * q^22 - 66 * q^24 + 34 * q^25 - 76 * q^28 - 23 * q^30 - 54 * q^31 - 3 * q^33 - 28 * q^36 + 26 * q^37 + 5 * q^39 - 30 * q^40 - 68 * q^42 - 176 * q^43 - 96 * q^45 - 22 * q^46 - 128 * q^49 - 23 * q^51 - 102 * q^52 + 21 * q^54 - 36 * q^57 + 58 * q^58 - 43 * q^60 - 126 * q^61 + 41 * q^63 + 40 * q^64 - 132 * q^66 - 10 * q^67 + 20 * q^70 + 59 * q^72 - 30 * q^73 - 81 * q^75 + 164 * q^78 - 14 * q^79 - 97 * q^81 - 66 * q^82 + 24 * q^84 - 56 * q^85 - 399 * q^87 - 74 * q^88 - 156 * q^91 + 8 * q^93 - 126 * q^94 - 117 * q^96 + 196 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$-1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{8}{11}\right)$

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 $

$2$	−0.375451	+	0.937831i	−0.265484	+	0.663147i	−0.999879	−	0.0155757i	$-0.995042\pi$
$2$	−0.375451	+	0.937831i	−0.265484	+	0.663147i	0.734395	+	0.678723i	$0.237466\pi$
$3$	−1.72861	+	0.109178i	−0.998011	+	0.0630340i
$3$	−1.72861	+	0.109178i	−0.998011	+	0.0630340i
$4$	0.708904	+	0.675938i	0.354452	+	0.337969i
$5$	0.119266	+	0.344595i	0.0533372	+	0.154108i	0.968523	−	0.248925i	$-0.0800773\pi$
$5$	0.119266	+	0.344595i	0.0533372	+	0.154108i	−0.915186	+	0.403033i	$0.867956\pi$
$6$	0.546616	−	1.66213i	0.223155	−	0.678563i
$7$	−1.73289	−	1.99928i	−0.654969	−	0.755655i
$7$	−1.73289	−	1.99928i	−0.654969	−	0.755655i
$8$	−2.73788	+	1.25035i	−0.967988	+	0.442065i
$9$	2.97616	−	0.377452i	0.992053	−	0.125817i
$10$	−0.367951	−	0.0175277i	−0.116356	−	0.00554273i
$11$	−2.00346	−	5.00440i	−0.604066	−	1.50888i	−0.843036	−	0.537857i	$-0.819234\pi$
$11$	−2.00346	−	5.00440i	−0.604066	−	1.50888i	0.238970	−	0.971027i	$-0.423190\pi$
$12$	−1.29921	−	1.09103i	−0.375051	−	0.314955i
$13$	0.612899	−	0.953690i	0.169988	−	0.264506i	−0.745799	−	0.666171i	$-0.767932\pi$
$13$	0.612899	−	0.953690i	0.169988	−	0.264506i	0.915787	+	0.401665i	$0.131568\pi$
$14$	2.52560	−	0.874524i	0.674994	−	0.233726i
$15$	−0.243786	−	0.582649i	−0.0629452	−	0.150439i
$16$	−0.0514620	−	1.08032i	−0.0128655	−	0.270080i
$17$	0.0914536	+	0.376977i	0.0221808	+	0.0914303i	0.981826	−	0.189783i	$-0.0607784\pi$
$17$	0.0914536	+	0.376977i	0.0221808	+	0.0914303i	−0.959645	+	0.281213i	$0.909263\pi$
$18$	−0.763416	+	2.93285i	−0.179939	+	0.691280i
$19$	−6.36270	−	1.54357i	−1.45970	−	0.354120i	−0.574185	−	0.818726i	$-0.694681\pi$
$19$	−6.36270	−	1.54357i	−1.45970	−	0.354120i	−0.885518	+	0.464605i	$0.846196\pi$
$20$	−0.148377	+	0.324901i	−0.0331782	+	0.0726501i
$21$	3.21376	+	3.26677i	0.701299	+	0.712867i
$22$	5.44549			1.16098
$23$	3.81621	+	2.90458i	0.795734	+	0.605646i
$23$	3.81621	+	2.90458i	0.795734	+	0.605646i
$24$	4.59621	−	2.46028i	0.938198	−	0.502202i
$25$	3.82574	−	3.00860i	0.765149	−	0.601720i
$26$	0.664286	+	0.932860i	0.130277	+	0.182949i
$27$	−5.10340	+	0.977397i	−0.982150	+	0.188100i
$28$	0.122938	−	2.58862i	0.0232331	−	0.489203i
$29$	2.49978	−	8.51347i	0.464198	−	1.58091i	−0.311782	−	0.950154i	$-0.600926\pi$
$29$	2.49978	−	8.51347i	0.464198	−	1.58091i	0.775980	−	0.630758i	$-0.217256\pi$
$30$	0.637956	−	0.00987375i	0.116474	−	0.00180269i
$31$	−0.567463	−	0.404089i	−0.101919	−	0.0725764i	0.527961	−	0.849269i	$-0.322957\pi$
$31$	−0.567463	−	0.404089i	−0.101919	−	0.0725764i	−0.629880	+	0.776692i	$0.716896\pi$
$32$	−4.65620	−	1.61153i	−0.823108	−	0.284880i
$33$	4.00957	+	8.43191i	0.697976	+	1.46781i
$34$	−0.387877	−	0.0557683i	−0.0665204	−	0.00956419i
$35$	0.482268	−	0.835590i	0.0815181	−	0.141240i
$36$	2.36495	+	1.74412i	0.394158	+	0.290687i
$37$	−1.31153	+	0.252776i	−0.215614	+	0.0415561i	−0.295914	−	0.955215i	$-0.595624\pi$
$37$	−1.31153	+	0.252776i	−0.215614	+	0.0415561i	0.0803004	+	0.996771i	$0.474412\pi$
$38$	3.83649	−	5.38760i	0.622361	−	0.873984i
$39$	−0.955339	+	1.71547i	−0.152977	+	0.274695i
$40$	−0.757400	−	0.794339i	−0.119755	−	0.125596i
$41$	4.17167	−	4.81437i	0.651506	−	0.751878i	−0.329859	−	0.944030i	$-0.607001\pi$
$41$	4.17167	−	4.81437i	0.651506	−	0.751878i	0.981365	+	0.192152i	$0.0615468\pi$
$42$	−4.27029	+	1.78745i	−0.658919	+	0.275809i
$43$	2.44997	−	5.36469i	0.373617	−	0.818108i	−0.625660	−	0.780096i	$-0.715170\pi$
$43$	2.44997	−	5.36469i	0.373617	−	0.818108i	0.999277	−	0.0380122i	$-0.0121026\pi$
$44$	1.96241	−	4.90186i	0.295844	−	0.738983i
$45$	0.485022	+	0.980554i	0.0723028	+	0.146172i
$46$	−4.15680	+	2.48843i	−0.612887	+	0.366899i
$47$	−2.55341	+	4.42264i	−0.372454	+	0.645109i	−0.989942	−	0.141471i	$-0.954817\pi$
$47$	−2.55341	+	4.42264i	−0.372454	+	0.645109i	0.617489	+	0.786580i	$0.288150\pi$
$48$	0.206905	+	1.86183i	0.0298641	+	0.268732i
$49$	−0.994212	+	6.92904i	−0.142030	+	0.989862i
$50$	1.38518	+	4.71748i	0.195894	+	0.667153i
$51$	−0.199245	−	0.641660i	−0.0278999	−	0.0898504i
$52$	1.07912	−	0.261792i	0.149647	−	0.0363040i
$53$	1.02366	−	1.98563i	0.140611	−	0.272748i	−0.808006	−	0.589175i	$-0.799453\pi$
$53$	1.02366	−	1.98563i	0.140611	−	0.272748i	0.948617	+	0.316427i	$0.102483\pi$
$54$	0.999443	−	5.15309i	0.136007	−	0.701247i
$55$	1.48555	−	1.28724i	0.200312	−	0.173571i
$56$	7.24424	+	3.30707i	0.968052	+	0.441926i
$57$	11.1671	+	1.97356i	1.47912	+	0.261405i
$58$	7.04565	+	5.54076i	0.925140	+	0.727538i
$59$	0.105485	−	2.21440i	0.0137329	−	0.288290i	−0.981545	−	0.191229i	$-0.938753\pi$
$59$	0.105485	−	2.21440i	0.0137329	−	0.288290i	0.995278	−	0.0970611i	$-0.0309442\pi$
$60$	0.221014	−	0.577826i	0.0285328	−	0.0745970i
$61$	0.912151	−	9.55247i	0.116789	−	1.22307i	−0.727093	−	0.686539i	$-0.759129\pi$
$61$	0.912151	−	9.55247i	0.116789	−	1.22307i	0.843881	−	0.536530i	$-0.180265\pi$
$62$	0.592022	−	0.380469i	0.0751868	−	0.0483196i
$63$	−5.91198	−	5.29609i	−0.744839	−	0.667244i
$64$	4.67604	−	5.39644i	0.584505	−	0.674555i
$65$	0.401735	+	0.0974598i	0.0498291	+	0.0120884i
$66$	−9.41311	+	0.594528i	−1.15867	+	0.0731813i
$67$	−5.83441	+	4.58823i	−0.712786	+	0.560541i	−0.907364	−	0.420346i	$-0.861909\pi$
$67$	−5.83441	+	4.58823i	−0.712786	+	0.560541i	0.194578	+	0.980887i	$0.437666\pi$
$68$	−0.189981	+	0.329057i	−0.0230386	+	0.0399041i
$69$	−6.91383	−	4.60423i	−0.832328	−	0.554284i
$70$	0.602574	+	0.766009i	0.0720214	+	0.0915556i
$71$	7.76319	−	1.11618i	0.921321	−	0.132466i	0.334697	−	0.942326i	$-0.391366\pi$
$71$	7.76319	−	1.11618i	0.921321	−	0.132466i	0.586624	+	0.809860i	$0.300457\pi$
$72$	−7.67643	+	4.75466i	−0.904676	+	0.560342i
$73$	−9.74990	+	10.2254i	−1.14114	+	1.19679i	−0.163491	+	0.986545i	$0.552275\pi$
$73$	−9.74990	+	10.2254i	−1.14114	+	1.19679i	−0.977648	+	0.210247i	$0.932573\pi$
$74$	0.255353	−	1.32490i	0.0296841	−	0.154016i
$75$	−6.28473	+	5.61837i	−0.725698	+	0.648753i
$76$	−3.46718	−	5.39504i	−0.397713	−	0.618853i
$77$	−6.53342	+	12.6775i	−0.744552	+	1.44474i
$78$	−1.25014	−	1.54002i	−0.141550	−	0.174373i
$79$	−11.7157	+	6.03989i	−1.31812	+	0.679541i	−0.966516	−	0.256606i	$-0.917396\pi$
$79$	−11.7157	+	6.03989i	−1.31812	+	0.679541i	−0.351609	+	0.936147i	$0.614365\pi$
$80$	0.366136	−	0.146579i	0.0409352	−	0.0163880i
$81$	8.71506	−	2.24671i	0.968340	−	0.249635i
$82$	2.94881	+	5.71988i	0.325641	+	0.631655i
$83$	−6.17132	−	7.12208i	−0.677390	−	0.781750i	0.308123	−	0.951346i	$-0.400299\pi$
$83$	−6.17132	−	7.12208i	−0.677390	−	0.781750i	−0.985514	+	0.169596i	$0.945754\pi$
$84$	0.0701086	+	4.48813i	0.00764948	+	0.489695i
$85$	−0.118997	+	0.0764749i	−0.0129071	+	0.00829487i
$86$	4.11133	+	4.31184i	0.443337	+	0.464958i
$87$	−3.39165	+	14.9894i	−0.363623	+	1.60703i
$88$	11.7425	+	11.1964i	1.25175	+	1.19355i
$89$	−7.03611	−	9.88083i	−0.745826	−	1.04737i	−0.996844	−	0.0793837i	$-0.974705\pi$
$89$	−7.03611	−	9.88083i	−0.745826	−	1.04737i	0.251018	−	0.967982i	$-0.419235\pi$
$90$	−1.10170	+	0.0867186i	−0.116129	+	0.00914095i
$91$	−2.96877	+	0.427281i	−0.311212	+	0.0447912i
$92$	0.742007	+	4.63859i	0.0773596	+	0.483606i
$93$	1.02504	+	0.636556i	0.106291	+	0.0660077i
$94$	−3.18901	−	4.05516i	−0.328921	−	0.418257i
$95$	−0.226943	−	2.37665i	−0.0232838	−	0.243839i
$96$	8.22468	+	2.27734i	0.839428	+	0.232430i
$97$	−8.09147	−	7.01130i	−0.821564	−	0.711889i	0.138896	−	0.990307i	$-0.455645\pi$
$97$	−8.09147	−	7.01130i	−0.821564	−	0.711889i	−0.960460	+	0.278418i	$0.910190\pi$
$98$	−6.12499	−	3.53392i	−0.618717	−	0.356980i
$99$	−7.85154	−	14.1377i	−0.789110	−	1.42089i
$100$	4.74571	+	0.453160i	0.474571	+	0.0453160i
$101$	−2.85386	+	8.24569i	−0.283970	+	0.820477i	0.709327	+	0.704880i	$0.248999\pi$
$101$	−2.85386	+	8.24569i	−0.283970	+	0.820477i	−0.993296	+	0.115597i	$0.963122\pi$
$102$	0.676576	+	0.0540538i	0.0669910	+	0.00535212i
$103$	−4.33796	+	5.51617i	−0.427432	+	0.543524i	−0.951296	−	0.308278i	$-0.900247\pi$
$103$	−4.33796	+	5.51617i	−0.427432	+	0.543524i	0.523864	+	0.851802i	$0.324490\pi$
$104$	−0.485601	+	3.37743i	−0.0476171	+	0.331184i
$105$	−0.742423	+	1.49706i	−0.0724531	+	0.146098i
$106$	1.47785	+	1.70553i	0.143542	+	0.165656i
$107$	0.322691	−	3.37937i	0.0311957	−	0.326696i	−0.966381	−	0.257116i	$-0.917228\pi$
$107$	0.322691	−	3.37937i	0.0311957	−	0.326696i	0.997576	−	0.0695805i	$-0.0221661\pi$
$108$	−4.27848	−	2.75670i	−0.411697	−	0.265264i
$109$	1.84728	+	7.61459i	0.176937	+	0.729346i	0.989264	+	0.146142i	$0.0466857\pi$
$109$	1.84728	+	7.61459i	0.176937	+	0.729346i	−0.812326	+	0.583203i	$0.801799\pi$
$110$	0.649460	+	1.87649i	0.0619236	+	0.178916i
$111$	2.23951	−	0.580140i	0.212565	−	0.0550644i
$112$	−2.07068	+	1.97496i	−0.195661	+	0.186616i
$113$	1.02024	−	0.146688i	0.0959761	−	0.0137993i	−0.0941594	−	0.995557i	$-0.530016\pi$
$113$	1.02024	−	0.146688i	0.0959761	−	0.0137993i	0.190136	+	0.981758i	$0.439107\pi$
$114$	−6.04358	+	9.73190i	−0.566033	+	0.911476i
$115$	−0.545762	+	1.66146i	−0.0508926	+	0.154932i
$116$	7.52669	−	4.34553i	0.698835	−	0.403473i
$117$	1.46411	−	3.06967i	0.135357	−	0.283791i
$118$	2.03713	+	0.930325i	0.187533	+	0.0856433i
$119$	0.595202	−	0.836099i	0.0545621	−	0.0766451i
$120$	1.39597	+	1.29041i	0.127434	+	0.117798i
$121$	−13.0691	+	12.4614i	−1.18810	+	1.13285i
$122$	8.61614	+	4.44193i	0.780069	+	0.402153i
$123$	−6.68556	+	8.77760i	−0.602816	+	0.791449i
$124$	−0.129138	−	0.670030i	−0.0115969	−	0.0601705i
$125$	3.02685	+	1.94524i	0.270730	+	0.173987i
$126$	7.18649	−	3.55602i	0.640224	−	0.316795i
$127$	0.408591	−	2.84181i	0.0362566	−	0.252170i	−0.963630	−	0.267241i	$-0.913888\pi$
$127$	0.408591	−	2.84181i	0.0362566	−	0.252170i	0.999886	+	0.0150704i	$0.00479725\pi$
$128$	−1.21022	−	2.34749i	−0.106969	−	0.207491i
$129$	−3.64933	+	9.54093i	−0.321306	+	0.840032i
$130$	−0.242233	+	0.340168i	−0.0212452	+	0.0298347i
$131$	0.333537	+	7.00180i	0.0291413	+	0.611751i	0.965452	+	0.260579i	$0.0839135\pi$
$131$	0.333537	+	7.00180i	0.0291413	+	0.611751i	−0.936311	+	0.351171i	$0.885783\pi$
$132$	−2.85705	+	8.68763i	−0.248675	+	0.756161i
$133$	7.93980	+	15.3956i	0.688468	+	1.33497i
$134$	−2.11245	−	7.19434i	−0.182488	−	0.621497i
$135$	−0.945467	−	1.64204i	−0.0813728	−	0.141324i
$136$	−0.721742	−	0.917770i	−0.0618889	−	0.0786981i
$137$	−16.6244	+	9.59812i	−1.42032	+	0.820023i	−0.996326	−	0.0856414i	$-0.972706\pi$
$137$	−16.6244	+	9.59812i	−1.42032	+	0.820023i	−0.423995	+	0.905664i	$0.639373\pi$
$138$	6.91379	−	4.75535i	0.588541	−	0.404802i
$139$		−	15.6130i		−	1.32428i	−0.749380	−	0.662141i	$-0.769648\pi$
$139$		−	15.6130i		−	1.32428i	0.749380	−	0.662141i	$-0.230352\pi$
$140$	0.906689	−	0.266369i	0.0766292	−	0.0225123i
$141$	3.93099	−	7.92378i	0.331049	−	0.667303i
$142$	−1.86791	+	7.69963i	−0.156752	+	0.646139i
$143$	−6.00057	−	1.15651i	−0.501793	−	0.0967126i
$144$	−0.560928	−	3.19578i	−0.0467440	−	0.266315i
$145$	3.23184	−	0.153952i	0.268390	−	0.0127850i
$146$	−5.92909	−	12.9829i	−0.490695	−	1.07447i
$147$	0.962103	−	12.0861i	0.0793529	−	0.996847i
$148$	−1.10061	−	0.707317i	−0.0904693	−	0.0581411i
$149$	−0.867221	+	1.10276i	−0.0710455	+	0.0903417i	−0.820277	−	0.571967i	$-0.806181\pi$
$149$	−0.867221	+	1.10276i	−0.0710455	+	0.0903417i	0.749231	+	0.662308i	$0.230423\pi$
$150$	−2.90947	−	8.00344i	−0.237558	−	0.653478i
$151$	1.11771	−	23.4637i	0.0909581	−	1.90945i	−0.248187	−	0.968712i	$-0.579835\pi$
$151$	1.11771	−	23.4637i	0.0909581	−	1.90945i	0.339145	−	0.940734i	$-0.389862\pi$
$152$	19.3503	−	3.72947i	1.56952	−	0.302500i
$153$	0.414471	+	1.08742i	0.0335080	+	0.0879131i
$154$	−9.43641	−	10.8870i	−0.760408	−	0.877302i
$155$	0.0715682	−	0.243739i	0.00574850	−	0.0195776i
$156$	−1.83680	+	0.570352i	−0.147061	+	0.0456647i
$157$	9.98314	−	10.4700i	0.796742	−	0.835598i	−0.192590	−	0.981279i	$-0.561689\pi$
$157$	9.98314	−	10.4700i	0.796742	−	0.835598i	0.989332	+	0.145681i	$0.0465372\pi$
$158$	−1.26571	−	13.2551i	−0.100694	−	1.05452i
$159$	−1.55273	+	3.54414i	−0.123139	+	0.281068i
$160$		−	1.79671i		−	0.142042i
$161$	−0.805996	−	12.6630i	−0.0635214	−	0.997980i
$162$	−1.16504	+	9.01679i	−0.0915341	+	0.708426i
$163$	20.8449	+	8.34503i	1.63270	+	0.653633i	0.993334	−	0.115272i	$-0.0367739\pi$
$163$	20.8449	+	8.34503i	1.63270	+	0.653633i	0.639363	+	0.768905i	$0.279198\pi$
$164$	6.21153	−	0.593129i	0.485039	−	0.0463156i
$165$	−2.42739	+	2.38732i	−0.188972	+	0.185852i
$166$	8.99634	−	3.11366i	0.698252	−	0.241667i
$167$	10.2392	+	3.00650i	0.792332	+	0.232650i	0.652763	−	0.757562i	$-0.273610\pi$
$167$	10.2392	+	3.00650i	0.792332	+	0.232650i	0.139570	+	0.990212i	$0.455428\pi$
$168$	−12.8835	−	4.92572i	−0.993983	−	0.380027i
$169$	4.86652	+	10.6562i	0.374347	+	0.819707i
$170$	−0.0270429	−	0.140312i	−0.00207410	−	0.0107614i
$171$	−19.5190	−	2.19231i	−1.49266	−	0.167650i
$172$	5.36300	−	2.14702i	0.408925	−	0.163709i
$173$	−0.294448	−	0.231556i	−0.0223864	−	0.0176049i	0.606903	−	0.794776i	$-0.292412\pi$
$173$	−0.294448	−	0.231556i	−0.0223864	−	0.0176049i	−0.629290	+	0.777171i	$0.716654\pi$
$174$	−12.7841	−	8.80857i	−0.969160	−	0.667776i
$175$	−12.6446	−	2.43516i	−0.955842	−	0.184081i
$176$	−5.30326	+	2.42192i	−0.399748	+	0.182559i
$177$	0.0594221	+	3.83934i	0.00446644	+	0.288582i
$178$	11.9083	−	2.88891i	0.892563	−	0.216533i
$179$	2.52649	−	13.1087i	0.188839	−	0.979788i	−0.756573	−	0.653909i	$-0.773128\pi$
$179$	2.52649	−	13.1087i	0.188839	−	0.979788i	0.945412	−	0.325879i	$-0.105660\pi$
$180$	−0.318960	+	1.02296i	−0.0237739	+	0.0762472i
$181$	−3.57546	−	1.63286i	−0.265762	−	0.121369i	0.278078	−	0.960559i	$-0.410303\pi$
$181$	−3.57546	−	1.63286i	−0.265762	−	0.121369i	−0.543840	+	0.839189i	$0.683030\pi$
$182$	0.713912	−	2.94463i	0.0529187	−	0.218271i
$183$	−0.533829	+	16.6121i	−0.0394617	+	1.22800i
$184$	−14.0801	−	3.18080i	−1.03800	−	0.234492i
$185$	−0.243525	−	0.421798i	−0.0179043	−	0.0310112i
$186$	−0.981833	+	0.722317i	−0.0719915	+	0.0529629i
$187$	1.70332	−	1.21293i	0.124559	−	0.0886982i
$188$	−4.79956	+	1.40928i	−0.350044	+	0.102782i
$189$	10.7977	+	8.50939i	0.785417	+	0.618967i
$190$	2.31410	+	0.679482i	0.167883	+	0.0492948i
$191$	−7.17581	+	0.341826i	−0.519223	+	0.0247337i	−0.305558	−	0.952173i	$-0.598843\pi$
$191$	−7.17581	+	0.341826i	−0.519223	+	0.0247337i	−0.213665	+	0.976907i	$0.568540\pi$
$192$	−7.49386	+	9.83884i	−0.540823	+	0.710057i
$193$	−0.168507	+	0.486869i	−0.0121294	+	0.0350456i	−0.950903	−	0.309489i	$-0.899842\pi$
$193$	−0.168507	+	0.486869i	−0.0121294	+	0.0350456i	0.938774	+	0.344535i	$0.111963\pi$
$194$	9.61337	−	4.95603i	0.690199	−	0.355823i
$195$	−0.705082	−	0.124609i	−0.0504920	−	0.00892344i
$196$	−5.38840	+	4.23999i	−0.384886	+	0.302857i
$197$	0.294136	−	0.457684i	0.0209563	−	0.0326086i	−0.830617	−	0.556844i	$-0.812012\pi$
$197$	0.294136	−	0.457684i	0.0209563	−	0.0326086i	0.851574	+	0.524235i	$0.175649\pi$
$198$	16.2066	−	2.05541i	1.15176	−	0.146072i
$199$	16.8468	+	11.9966i	1.19424	+	0.850413i	0.991664	−	0.128854i	$-0.0411298\pi$
$199$	16.8468	+	11.9966i	1.19424	+	0.850413i	0.202574	+	0.979267i	$0.435069\pi$
$200$	−6.71264	+	13.0207i	−0.474656	+	0.920703i
$201$	9.58446	−	8.56823i	0.676035	−	0.604356i
$202$	−6.66158	−	5.77229i	−0.468707	−	0.406137i
$203$	−21.3526	+	9.75512i	−1.49866	+	0.684675i
$204$	0.292477	−	0.589553i	0.0204775	−	0.0412769i
$205$	2.15655	+	0.863351i	0.150620	+	0.0602990i
$206$	−3.54454	−	6.13933i	−0.246960	−	0.427747i
$207$	12.4540	+	7.20405i	0.865611	+	0.500716i
$208$	−1.06183	−	0.613048i	−0.0736247	−	0.0425073i
$209$	5.02275	+	34.9340i	0.347431	+	2.41644i
$210$	−1.12525	−	1.25834i	−0.0776493	−	0.0868337i
$211$	13.3732	−	3.92673i	0.920650	−	0.270327i	0.213132	−	0.977023i	$-0.431633\pi$
$211$	13.3732	−	3.92673i	0.920650	−	0.270327i	0.707517	+	0.706696i	$0.249815\pi$
$212$	2.06784	−	0.715688i	0.142020	−	0.0491537i
$213$	−13.2976	+	2.77700i	−0.911139	+	0.190277i
$214$	3.04813	+	1.57142i	0.208366	+	0.107420i
$215$	2.14085	+	0.204426i	0.146005	+	0.0139417i
$216$	12.7504	−	9.05704i	0.867557	−	0.616253i
$217$	0.175464	+	1.83475i	0.0119113	+	0.124551i
$218$	−7.83477	−	1.12647i	−0.530637	−	0.0762941i
$219$	15.7373	−	18.7402i	1.06343	−	1.26634i
$220$	1.92321	+	0.0916136i	0.129662	+	0.00617659i
$221$	0.415571	+	0.143830i	0.0279543	+	0.00967508i
$222$	−0.296755	+	2.31810i	−0.0199169	+	0.155581i
$223$	−12.8358	−	19.9729i	−0.859551	−	1.33749i	−0.940157	−	0.340741i	$-0.889322\pi$
$223$	−12.8358	−	19.9729i	−0.859551	−	1.33749i	0.0806068	−	0.996746i	$-0.474314\pi$
$224$	4.84678	+	12.1016i	0.323839	+	0.808574i
$225$	10.2504	−	10.3981i	0.683362	−	0.693207i
$226$	−0.245481	+	1.01189i	−0.0163292	+	0.0673098i
$227$	17.3176	−	1.65363i	1.14941	−	0.109756i	0.497091	−	0.867698i	$-0.334401\pi$
$227$	17.3176	−	1.65363i	1.14941	−	0.109756i	0.652321	+	0.757943i	$0.273795\pi$
$228$	6.58241	+	8.94735i	0.435931	+	0.592553i
$229$	9.15138	+	5.28355i	0.604740	+	0.349147i	0.770904	−	0.636951i	$-0.219805\pi$
$229$	9.15138	+	5.28355i	0.604740	+	0.349147i	−0.166164	+	0.986098i	$0.553138\pi$
$230$	−1.35327	−	1.13563i	−0.0892317	−	0.0748813i
$231$	9.90960	−	22.6278i	0.652004	−	1.48880i
$232$	3.80071	+	26.4345i	0.249529	+	1.73551i
$233$	0.402792	−	0.286827i	0.0263878	−	0.0187907i	−0.566787	−	0.823864i	$-0.691814\pi$
$233$	0.402792	−	0.286827i	0.0263878	−	0.0187907i	0.593175	+	0.805074i	$0.297874\pi$
$234$	2.32913	+	2.52560i	0.152260	+	0.165104i
$235$	−1.82856	−	0.352425i	−0.119282	−	0.0229897i
$236$	1.57157	−	1.49849i	0.102301	−	0.0975436i
$237$	19.5925	−	11.7197i	1.27267	−	0.761276i
$238$	0.560651	+	0.872114i	0.0363416	+	0.0565307i
$239$	−4.09759	+	3.55058i	−0.265051	+	0.229668i	−0.777239	−	0.629205i	$-0.783380\pi$
$239$	−4.09759	+	3.55058i	−0.265051	+	0.229668i	0.512188	+	0.858873i	$0.328835\pi$
$240$	−0.616901	+	0.293351i	−0.0398208	+	0.0189357i
$241$	1.38899	+	3.46952i	0.0894725	+	0.223491i	0.966354	−	0.257214i	$-0.0828047\pi$
$241$	1.38899	+	3.46952i	0.0894725	+	0.223491i	−0.876882	+	0.480706i	$0.840380\pi$
$242$	−6.77986	−	16.9353i	−0.435826	−	1.08864i
$243$	−14.8196	+	4.83518i	−0.950679	+	0.310177i
$244$	7.10351	−	6.15523i	0.454756	−	0.394048i
$245$	−2.50629	+	0.483795i	−0.160121	+	0.0309085i
$246$	−5.72181	−	9.56548i	−0.364809	−	0.609873i
$247$	−5.37178	+	5.12198i	−0.341798	+	0.325904i
$248$	2.05890	+	0.396820i	0.130740	+	0.0251981i
$249$	11.4454	+	11.6375i	0.725320	+	0.737497i
$250$	−2.96074	+	2.10833i	−0.187254	+	0.133343i
$251$	3.90575	+	27.1651i	0.246529	+	1.71465i	0.617980	+	0.786194i	$0.287951\pi$
$251$	3.90575	+	27.1651i	0.246529	+	1.71465i	−0.371451	+	0.928452i	$0.621140\pi$
$252$	−0.611195	−	7.75055i	−0.0385017	−	0.488239i
$253$	6.89006	−	24.9170i	0.433174	−	1.56652i
$254$	2.51174	+	1.45015i	0.157600	+	0.0909906i
$255$	0.197350	−	0.145187i	0.0123585	−	0.00909196i
$256$	16.8723	−	1.61111i	1.05452	−	0.100694i
$257$	−4.90201	+	20.2064i	−0.305779	+	1.26044i	0.586869	+	0.809682i	$0.300361\pi$
$257$	−4.90201	+	20.2064i	−0.305779	+	1.26044i	−0.892647	+	0.450756i	$0.851155\pi$
$258$	−7.57764	−	7.00461i	−0.471763	−	0.436088i
$259$	2.77809	+	2.18407i	0.172622	+	0.135712i
$260$	0.218915	+	0.340638i	0.0135765	+	0.0211255i
$261$	4.22632	−	26.2810i	0.261603	−	1.62675i
$262$	−6.69174	−	2.31603i	−0.413417	−	0.143085i
$263$	10.8356	+	0.516162i	0.668150	+	0.0318279i	0.378917	−	0.925431i	$-0.376297\pi$
$263$	10.8356	+	0.516162i	0.668150	+	0.0318279i	0.289233	+	0.957259i	$0.406600\pi$
$264$	−21.5206	−	18.0722i	−1.32450	−	1.11227i
$265$	0.806328	+	0.115932i	0.0495323	+	0.00712167i
$266$	−17.4195	+	1.66589i	−1.06806	+	0.102142i
$267$	13.2414	+	16.3119i	0.810363	+	0.998271i
$268$	−7.23739	−	0.691087i	−0.442094	−	0.0422149i
$269$	3.03183	+	1.56302i	0.184854	+	0.0952989i	0.548169	−	0.836367i	$-0.315325\pi$
$269$	3.03183	+	1.56302i	0.184854	+	0.0952989i	−0.363315	+	0.931666i	$0.618355\pi$
$270$	1.89493	−	0.270184i	0.115322	−	0.0164428i
$271$	0.499201	−	0.172775i	0.0303243	−	0.0104954i	−0.311864	−	0.950127i	$-0.600953\pi$
$271$	0.499201	−	0.172775i	0.0303243	−	0.0104954i	0.342188	+	0.939631i	$0.388832\pi$
$272$	0.402549	−	0.118199i	0.0244081	−	0.00716688i
$273$	5.08519	−	1.06273i	0.307770	−	0.0643190i
$274$	−2.75976	−	19.1945i	−0.166723	−	1.15958i
$275$	−22.7210	−	13.1180i	−1.37013	−	0.791043i
$276$	−1.78907	−	7.93728i	−0.107689	−	0.477768i
$277$	−6.16382	−	10.6760i	−0.370348	−	0.641461i	0.619271	−	0.785177i	$-0.287428\pi$
$277$	−6.16382	−	10.6760i	−0.370348	−	0.641461i	−0.989619	+	0.143716i	$0.954095\pi$
$278$	14.6424	+	5.86193i	0.878193	+	0.351575i
$279$	−1.84138	−	0.988442i	−0.110241	−	0.0591765i
$280$	−0.275614	+	2.89075i	−0.0164711	+	0.172755i
$281$	−13.7441	−	11.9093i	−0.819904	−	0.710451i	0.140191	−	0.990125i	$-0.455228\pi$
$281$	−13.7441	−	11.9093i	−0.819904	−	0.710451i	−0.960095	+	0.279673i	$0.909774\pi$
$282$	5.95528	+	6.66160i	0.354632	+	0.396692i
$283$	5.88413	−	11.4136i	0.349775	−	0.678469i	−0.646665	−	0.762774i	$-0.723837\pi$
$283$	5.88413	−	11.4136i	0.349775	−	0.678469i	0.996440	+	0.0843049i	$0.0268670\pi$
$284$	6.25782	+	4.45617i	0.371333	+	0.264425i
$285$	0.651773	+	4.08352i	0.0386077	+	0.241887i
$286$	3.33753	−	5.19331i	0.197353	−	0.307087i
$287$	−16.8543	+	0.00242221i	−0.994877	+	0.000142978i
$288$	−14.4659	−	3.03867i	−0.852410	−	0.179055i
$289$	14.9765	−	7.72090i	0.880968	−	0.454171i
$290$	−1.06902	+	3.08872i	−0.0627749	+	0.181376i
$291$	14.7524	+	11.2364i	0.864804	+	0.658687i
$292$	−13.8235	+	0.658493i	−0.808958	+	0.0385354i
$293$	−4.81565	−	1.41400i	−0.281333	−	0.0826068i	0.138022	−	0.990429i	$-0.455926\pi$
$293$	−4.81565	−	1.41400i	−0.281333	−	0.0826068i	−0.419355	+	0.907822i	$0.637744\pi$
$294$	10.9735	+	5.44004i	0.639989	+	0.317269i
$295$	0.775652	−	0.227752i	0.0451602	−	0.0132602i
$296$	3.27475	−	2.33194i	0.190341	−	0.135541i
$297$	15.1158	+	23.5813i	0.877105	+	1.36833i
$298$	−0.708605	−	1.22734i	−0.0410484	−	0.0710979i
$299$	5.10901	−	1.85926i	0.295462	−	0.107524i
$300$	−8.25294	−	0.265208i	−0.476484	−	0.0153118i
$301$	−14.9710	+	4.39823i	−0.862916	+	0.253510i
$302$	21.5853	+	9.85769i	1.24210	+	0.567246i
$303$	4.03295	−	14.5651i	0.231687	−	0.836745i
$304$	−1.34012	+	6.95319i	−0.0768610	+	0.398793i
$305$	3.40053	−	0.824959i	0.194714	−	0.0472370i
$306$	−1.17543	−	0.0195705i	−0.0671951	−	0.00111877i
$307$	14.8165	−	6.76646i	0.845621	−	0.386182i	0.0549990	−	0.998486i	$-0.482484\pi$
$307$	14.8165	−	6.76646i	0.845621	−	0.386182i	0.790622	+	0.612304i	$0.209757\pi$
$308$	−13.2008	+	4.57096i	−0.752185	+	0.260455i
$309$	6.89638	−	10.0089i	0.392322	−	0.569386i
$310$	0.201716	+	0.158631i	0.0114567	+	0.00900964i
$311$	5.44304	−	2.17907i	0.308647	−	0.123564i	−0.212168	−	0.977233i	$-0.568052\pi$
$311$	5.44304	−	2.17907i	0.308647	−	0.123564i	0.520815	+	0.853670i	$0.325628\pi$
$312$	0.470672	−	5.89126i	0.0266465	−	0.333527i
$313$	−3.91441	−	20.3099i	−0.221256	−	1.14798i	−0.907319	−	0.420442i	$-0.861875\pi$
$313$	−3.91441	−	20.3099i	−0.221256	−	1.14798i	0.686064	−	0.727541i	$-0.259337\pi$
$314$	6.07093	+	13.2935i	0.342602	+	0.750195i
$315$	1.11991	−	2.66888i	0.0630999	−	0.150374i
$316$	−12.3879	−	3.63743i	−0.696876	−	0.204621i
$317$	−20.4047	+	7.06214i	−1.14604	+	0.396650i	−0.833100	−	0.553122i	$-0.813436\pi$
$317$	−20.4047	+	7.06214i	−1.14604	+	0.396650i	−0.312943	+	0.949772i	$0.601315\pi$
$318$	−2.74083	−	2.78685i	−0.153698	−	0.156279i
$319$	−47.6131	+	4.54650i	−2.66582	+	0.254555i
$320$	2.41728	+	0.967732i	0.135130	+	0.0540979i
$321$	−0.188852	+	5.87683i	−0.0105407	+	0.328013i
$322$	12.1783	+	3.99843i	0.678672	+	0.222824i
$323$		−	2.53976i		−	0.141316i
$324$	7.69678	+	4.29814i	0.427599	+	0.238786i
$325$	−0.524474	−	5.49254i	−0.0290926	−	0.304671i
$326$	−15.6525	+	16.4158i	−0.866910	+	0.909189i
$327$	−4.02457	−	12.9609i	−0.222559	−	0.716742i
$328$	−5.40191	+	18.3972i	−0.298271	+	1.01582i
$329$	13.2669	−	2.55895i	0.731425	−	0.141080i
$330$	−1.32753	−	3.17281i	−0.0730782	−	0.174657i
$331$	−16.9354	+	3.26404i	−0.930856	+	0.179408i	−0.632069	−	0.774912i	$-0.717794\pi$
$331$	−16.9354	+	3.26404i	−0.930856	+	0.179408i	−0.298787	+	0.954320i	$0.596582\pi$
$332$	0.439217	−	9.22030i	0.0241052	−	0.506030i
$333$	−3.80790	+	1.24734i	−0.208672	+	0.0683538i
$334$	−6.66390	+	8.47384i	−0.364633	+	0.463668i
$335$	−2.27693	−	1.46329i	−0.124402	−	0.0799482i
$336$	3.36377	−	3.64000i	0.183509	−	0.198578i
$337$	−3.18841	−	6.98164i	−0.173684	−	0.380314i	0.802692	−	0.596394i	$-0.203400\pi$
$337$	−3.18841	−	6.98164i	−0.173684	−	0.380314i	−0.976376	+	0.216079i	$0.930673\pi$
$338$	−11.8208	+	0.563096i	−0.642969	+	0.0306284i
$339$	−1.74758	+	0.364954i	−0.0949154	+	0.0198216i
$340$	−0.136050	−	0.0262215i	−0.00737834	−	0.00142206i
$341$	−0.885332	+	3.64939i	−0.0479434	+	0.197626i
$342$	9.38446	−	17.4825i	0.507453	−	0.945343i
$343$	15.5759	−	10.0195i	0.841020	−	0.541003i
$344$			17.7512i			0.957082i
$345$	0.762012	−	2.93160i	0.0410254	−	0.157832i
$346$	0.327711	−	0.189204i	0.0176179	−	0.0101717i
$347$	14.0123	+	17.8180i	0.752217	+	0.956522i	0.999924	−	0.0123128i	$-0.00391940\pi$
$347$	14.0123	+	17.8180i	0.752217	+	0.956522i	−0.247707	+	0.968835i	$0.579677\pi$
$348$	−12.5362	+	8.33347i	−0.672013	+	0.446721i
$349$	7.26852	+	24.7543i	0.389075	+	1.32507i	0.888566	+	0.458748i	$0.151702\pi$
$349$	7.26852	+	24.7543i	0.389075	+	1.32507i	−0.499491	+	0.866319i	$0.666480\pi$
$350$	7.03120	−	10.9442i	0.375833	−	0.584993i
$351$	−2.19574	+	5.46611i	−0.117200	+	0.291759i
$352$	1.26379	+	26.5301i	0.0673600	+	1.41406i
$353$	17.6646	−	24.8065i	0.940192	−	1.32031i	−0.00711106	−	0.999975i	$-0.502264\pi$
$353$	17.6646	−	24.8065i	0.940192	−	1.32031i	0.947303	−	0.320340i	$-0.103797\pi$
$354$	−3.62296	−	1.38576i	−0.192558	−	0.0736521i
$355$	1.31051	+	2.54204i	0.0695547	+	0.134917i
$356$	1.69091	−	11.7605i	0.0896180	−	0.623307i
$357$	−0.937587	+	1.51027i	−0.0496224	+	0.0799319i
$358$	11.3451	+	7.29108i	0.599610	+	0.385346i
$359$	2.70440	+	14.0317i	0.142733	+	0.740567i	0.980802	+	0.195004i	$0.0624720\pi$
$359$	2.70440	+	14.0317i	0.142733	+	0.740567i	−0.838070	+	0.545563i	$0.816316\pi$
$360$	−2.55397	−	2.07820i	−0.134606	−	0.109531i
$361$	21.2134	+	10.9363i	1.11650	+	0.575594i
$362$	2.87376	−	2.74012i	0.151041	−	0.144018i
$363$	21.2309	−	22.9677i	1.11433	−	1.20549i
$364$	−2.39339	−	1.70381i	−0.125448	−	0.0893037i
$365$	−4.68645	−	2.14023i	−0.245300	−	0.112025i
$366$	−15.3789	−	6.73766i	−0.803867	−	0.352183i
$367$	6.62776	−	3.82654i	0.345966	−	0.199744i	−0.316941	−	0.948445i	$-0.602656\pi$
$367$	6.62776	−	3.82654i	0.345966	−	0.199744i	0.662907	+	0.748702i	$0.269322\pi$
$368$	2.94148	−	4.27220i	0.153335	−	0.222704i
$369$	10.5984	−	15.9029i	0.551729	−	0.827873i
$370$	0.487008	−	0.0700211i	0.0253183	−	0.00364022i
$371$	−5.74372	+	1.39429i	−0.298199	+	0.0723877i
$372$	0.296381	+	1.14412i	0.0153666	+	0.0593198i
$373$	−6.57660	−	19.0018i	−0.340524	−	0.983878i	−0.977121	−	0.212682i	$-0.931780\pi$
$373$	−6.57660	−	19.0018i	−0.340524	−	0.983878i	0.636598	−	0.771196i	$-0.280341\pi$
$374$	0.498010	+	2.05282i	0.0257515	+	0.106149i
$375$	−5.44461	−	3.03208i	−0.281158	−	0.156576i
$376$	1.46110	−	15.3013i	0.0753505	−	0.789106i
$377$	−6.58709	−	7.60191i	−0.339253	−	0.391518i
$378$	−12.0344	+	6.93156i	−0.618982	+	0.356521i
$379$	−1.73775	+	12.0863i	−0.0892623	+	0.620833i	0.895256	+	0.445552i	$0.146993\pi$
$379$	−1.73775	+	12.0863i	−0.0892623	+	0.620833i	−0.984518	+	0.175281i	$0.943917\pi$
$380$	1.44559	−	1.83822i	0.0741572	−	0.0942985i
$381$	−0.396029	+	4.95699i	−0.0202892	+	0.253954i
$382$	2.37359	−	6.85804i	0.121443	−	0.350888i
$383$	−18.6421	−	1.78010i	−0.952566	−	0.0909591i	−0.392813	−	0.919618i	$-0.628498\pi$
$383$	−18.6421	−	1.78010i	−0.952566	−	0.0909591i	−0.559753	+	0.828659i	$0.689104\pi$
$384$	2.34828	+	3.92576i	0.119835	+	0.200336i
$385$	−5.14783	−	0.739391i	−0.262358	−	0.0376829i
$386$	−0.393335	−	0.340826i	−0.0200202	−	0.0173476i
$387$	5.26660	−	16.8909i	0.267716	−	0.858615i
$388$	−0.996868	−	10.4397i	−0.0506083	−	0.529994i
$389$	−8.18800	−	10.4119i	−0.415148	−	0.527904i	0.532837	−	0.846218i	$-0.321126\pi$
$389$	−8.18800	−	10.4119i	−0.415148	−	0.527904i	−0.947985	+	0.318314i	$0.896883\pi$
$390$	0.381586	−	0.614463i	0.0193224	−	0.0311146i
$391$	−0.745953	+	1.70426i	−0.0377245	+	0.0861879i
$392$	−5.94168	−	20.2140i	−0.300100	−	1.02096i
$393$	−1.34100	−	12.0669i	−0.0676444	−	0.608697i
$394$	0.318797	+	0.447687i	0.0160607	+	0.0225542i
$395$	−3.47860	−	3.31684i	−0.175028	−	0.166888i
$396$	3.99022	−	15.3294i	0.200516	−	0.770333i
$397$	20.8269	+	21.8426i	1.04527	+	1.09625i	0.995235	+	0.0975039i	$0.0310858\pi$
$397$	20.8269	+	21.8426i	1.04527	+	1.09625i	0.0500382	+	0.998747i	$0.484066\pi$
$398$	−17.5759	+	11.2953i	−0.881000	+	0.566184i
$399$	−15.4057	−	25.7461i	−0.771247	−	1.28892i
$400$	−3.44713	−	3.97820i	−0.172356	−	0.198910i
$401$	11.2006	+	21.7262i	0.559332	+	1.08495i	0.983760	+	0.179491i	$0.0574451\pi$
$401$	11.2006	+	21.7262i	0.559332	+	1.08495i	−0.424427	+	0.905462i	$0.639525\pi$
$402$	4.43706	+	12.2056i	0.221300	+	0.608758i
$403$	−0.733173	+	0.293518i	−0.0365219	+	0.0146212i
$404$	−7.59669	+	3.91637i	−0.377949	+	0.194846i
$405$	1.81361	+	2.73521i	0.0901192	+	0.135914i
$406$	−1.13180	−	23.6877i	−0.0561702	−	1.17560i
$407$	3.89258	+	6.05698i	0.192948	+	0.300233i
$408$	1.34781	+	1.50766i	0.0667265	+	0.0746405i
$409$	−6.41945	+	33.3073i	−0.317422	+	1.64694i	0.376155	+	0.926557i	$0.377246\pi$
$409$	−6.41945	+	33.3073i	−0.317422	+	1.64694i	−0.693577	+	0.720383i	$0.743966\pi$
$410$	−1.61935	+	1.69833i	−0.0799742	+	0.0838746i
$411$	27.6892	−	18.4064i	1.36581	−	0.907921i
$412$	−6.80379	+	0.978237i	−0.335198	+	0.0481943i
$413$	−4.60999	+	3.62641i	−0.226843	+	0.178444i
$414$	−11.4320	+	8.97496i	−0.561855	+	0.441095i
$415$	1.71821	−	2.97603i	0.0843436	−	0.146087i
$416$	−4.39068	+	3.45287i	−0.215271	+	0.169291i
$417$	1.70460	+	26.9888i	0.0834747	+	1.32165i
$418$	−34.6480	−	8.40551i	−1.69469	−	0.411127i
$419$	−19.3459	+	22.3264i	−0.945111	+	1.09072i	0.0506483	+	0.998717i	$0.483871\pi$
$419$	−19.3459	+	22.3264i	−0.945111	+	1.09072i	−0.995759	+	0.0919994i	$0.970674\pi$
$420$	−1.53823	+	0.559438i	−0.0750577	+	0.0272978i
$421$	22.2407	−	14.2932i	1.08394	−	0.696608i	0.128479	−	0.991712i	$-0.458991\pi$
$421$	22.2407	−	14.2932i	1.08394	−	0.696608i	0.955465	+	0.295104i	$0.0953543\pi$
$422$	−1.33838	+	14.0161i	−0.0651511	+	0.682294i
$423$	−5.93003	+	14.1263i	−0.288328	+	0.686843i
$424$	−0.319940	+	6.71637i	−0.0155377	+	0.326176i
$425$	1.48405	+	1.16707i	0.0719870	+	0.0566112i
$426$	2.38825	−	13.5136i	0.115711	−	0.654735i
$427$	−20.6787	+	14.7297i	−1.00071	+	0.712821i
$428$	2.51300	−	2.17753i	0.121471	−	0.105255i
$429$	10.4989	+	1.34403i	0.506891	+	0.0648903i
$430$	−0.995500	+	1.93100i	−0.0480073	+	0.0931212i
$431$	21.1409	−	5.12873i	1.01832	−	0.247042i	0.308351	−	0.951273i	$-0.400223\pi$
$431$	21.1409	−	5.12873i	1.01832	−	0.247042i	0.709972	+	0.704230i	$0.248708\pi$
$432$	1.31853	+	5.46301i	0.0634380	+	0.262839i
$433$	4.24236	+	14.4481i	0.203875	+	0.694333i	0.996422	+	0.0845223i	$0.0269364\pi$
$433$	4.24236	+	14.4481i	0.203875	+	0.694333i	−0.792547	+	0.609811i	$0.791245\pi$
$434$	−1.78657	−	0.524305i	−0.0857580	−	0.0251674i
$435$	−5.56977	+	0.618968i	−0.267050	+	0.0296772i
$436$	−3.83745	+	6.64666i	−0.183781	+	0.318317i
$437$	−19.7979	−	24.3715i	−0.947064	−	1.16585i
$438$	11.6665	+	21.7950i	0.557447	+	1.04140i
$439$	4.89174	−	12.2190i	0.233470	−	0.583180i	−0.764652	−	0.644444i	$-0.777089\pi$
$439$	4.89174	−	12.2190i	0.233470	−	0.583180i	0.998122	+	0.0612641i	$0.0195132\pi$
$440$	−2.45777	+	5.38176i	−0.117170	+	0.256565i
$441$	−0.343557	+	20.9972i	−0.0163599	+	0.999866i
$442$	−0.290915	+	0.335734i	−0.0138374	+	0.0159692i
$443$	11.8719	+	12.4509i	0.564053	+	0.591562i	0.942560	−	0.334037i	$-0.108411\pi$
$443$	11.8719	+	12.4509i	0.564053	+	0.591562i	−0.378507	+	0.925598i	$0.623562\pi$
$444$	1.97974	+	1.10251i	0.0939543	+	0.0523228i
$445$	2.56572	−	3.60305i	0.121627	−	0.170801i
$446$	23.5505	−	4.53898i	1.11515	−	0.214927i
$447$	1.37869	−	2.00092i	0.0652096	−	0.0946403i
$448$	−18.8920	+	0.00271506i	−0.892564	+	0.000128274i
$449$	−12.7270	−	1.82987i	−0.600625	−	0.0863568i	−0.164706	−	0.986343i	$-0.552668\pi$
$449$	−12.7270	−	1.82987i	−0.600625	−	0.0863568i	−0.435919	+	0.899986i	$0.643577\pi$
$450$	5.90314	+	13.5172i	0.278277	+	0.637205i
$451$	−32.4508	−	11.2313i	−1.52805	−	0.528863i
$452$	0.822404	+	0.585632i	0.0386826	+	0.0275458i
$453$	0.629634	+	40.6815i	0.0295828	+	1.91138i
$454$	−4.95110	+	16.8619i	−0.232366	+	0.791367i
$455$	−0.501312	−	0.972066i	−0.0235018	−	0.0455711i
$456$	−33.0419	+	8.55942i	−1.54733	+	0.400832i
$457$	10.1641	+	14.2735i	0.475457	+	0.667686i	0.980751	−	0.195261i	$-0.0625555\pi$
$457$	10.1641	+	14.2735i	0.475457	+	0.667686i	−0.505294	+	0.862947i	$0.668616\pi$
$458$	−8.39098	+	6.59874i	−0.392085	+	0.308339i
$459$	−0.835181	−	1.83448i	−0.0389829	−	0.0856261i
$460$	−1.50994	+	0.808916i	−0.0704013	+	0.0377159i
$461$	25.9852			1.21025			0.605125	−	0.796131i	$-0.293123\pi$
$461$	25.9852			1.21025			0.605125	+	0.796131i	$0.293123\pi$
$462$	17.5005	+	17.7892i	0.814195	+	0.827626i
$463$	−6.70457	+	14.6810i	−0.311588	+	0.682282i	−0.999034	−	0.0439535i	$-0.986005\pi$
$463$	−6.70457	+	14.6810i	−0.311588	+	0.682282i	0.687446	+	0.726236i	$0.258732\pi$
$464$	−9.32592	−	2.26244i	−0.432945	−	0.105031i
$465$	−0.0971023	+	0.429143i	−0.00450301	+	0.0199010i
$466$	0.117767	+	0.485441i	0.00545543	+	0.0224876i
$467$	−1.76123	−	36.9727i	−0.0815000	−	1.71089i	−0.556449	−	0.830882i	$-0.687837\pi$
$467$	−1.76123	−	36.9727i	−0.0815000	−	1.71089i	0.474949	−	0.880013i	$-0.342466\pi$
$468$	3.11283	−	1.18645i	0.143890	−	0.0548438i
$469$	19.2835	+	3.71371i	0.890429	+	0.171483i
$470$	1.01705	−	1.58256i	0.0469130	−	0.0729980i
$471$	−16.1138	+	19.1885i	−0.742486	+	0.884159i
$472$	2.47997	+	6.19466i	0.114150	+	0.285132i
$473$	−31.7555	−	1.51270i	−1.46012	−	0.0695541i
$474$	3.63507	+	22.7746i	0.166964	+	1.04607i
$475$	−28.9860	+	13.2375i	−1.32997	+	0.607377i
$476$	0.987093	−	0.190394i	0.0452433	−	0.00872668i
$477$	2.29711	−	6.29594i	0.105177	−	0.288271i
$478$	−1.79140	−	5.17591i	−0.0819368	−	0.236741i
$479$	26.1881	+	24.9703i	1.19656	+	1.14092i	0.986591	+	0.163214i	$0.0521862\pi$
$479$	26.1881	+	24.9703i	1.19656	+	1.14092i	0.209973	+	0.977707i	$0.432662\pi$
$480$	0.196161	+	3.10580i	0.00895348	+	0.141760i
$481$	−0.562763	+	1.40571i	−0.0256598	+	0.0640951i
$482$	−3.77532			−0.171961
$483$	2.77577	+	21.8013i	0.126302	+	0.991992i
$484$	−17.6879			−0.803995
$485$	1.45103	−	3.62449i	0.0658877	−	0.164580i
$486$	1.02946	−	15.7137i	0.0466972	−	0.712787i
$487$	−5.04045	−	4.80606i	−0.228405	−	0.217783i	0.567231	−	0.823559i	$-0.308015\pi$
$487$	−5.04045	−	4.80606i	−0.228405	−	0.217783i	−0.795636	+	0.605775i	$0.792863\pi$
$488$	9.44657	+	27.2941i	0.427626	+	1.23554i
$489$	−36.9437	−	12.1495i	−1.67065	−	0.549418i
$490$	0.487271	−	2.53212i	0.0220127	−	0.114389i
$491$	5.38372	−	2.45866i	0.242964	−	0.110958i	−0.290212	−	0.956962i	$-0.593726\pi$
$491$	5.38372	−	2.45866i	0.242964	−	0.110958i	0.533176	+	0.846005i	$0.320998\pi$
$492$	−10.6725	+	1.70345i	−0.481155	+	0.0767974i
$493$	3.43800	+	0.163772i	0.154840	+	0.00737592i
$494$	−2.78672	−	6.96088i	−0.125380	−	0.313185i
$495$	3.93537	−	4.39175i	0.176882	−	0.197394i
$496$	−0.407342	+	0.633837i	−0.0182902	+	0.0284601i
$497$	−15.6843	−	13.5865i	−0.703536	−	0.609440i
$498$	−15.2112	+	6.36450i	−0.681630	+	0.285200i
$499$	0.0729512	+	1.53143i	0.00326575	+	0.0685564i	0.999912	−	0.0132757i	$-0.00422590\pi$
$499$	0.0729512	+	1.53143i	0.00326575	+	0.0685564i	−0.996646	+	0.0818321i	$0.973923\pi$
$500$	0.830884	+	3.42495i	0.0371582	+	0.153168i
$501$	−18.0278	−	4.07916i	−0.805422	−	0.182243i
$502$	−26.9427	−	6.53623i	−1.20251	−	0.291726i
$503$	8.91929	−	19.5305i	0.397691	−	0.870823i	−0.599808	−	0.800144i	$-0.704756\pi$
$503$	8.91929	−	19.5305i	0.397691	−	0.870823i	0.997499	−	0.0706786i	$-0.0225165\pi$
$504$	22.8083	+	7.10803i	1.01596	+	0.316617i
$505$	−3.18179			−0.141588
$506$	20.7811	+	15.8168i	0.923833	+	0.703145i
$507$	−9.57571	−	17.8890i	−0.425272	−	0.794480i
$508$	2.21054	−	1.73839i	0.0980770	−	0.0771286i
$509$	−16.5119	−	23.1878i	−0.731878	−	1.02778i	−0.997961	−	0.0638290i	$-0.979669\pi$
$509$	−16.5119	−	23.1878i	−0.731878	−	1.02778i	0.266083	−	0.963950i	$-0.414271\pi$
$510$	0.0620655	+	0.239592i	0.00274831	+	0.0106093i
$511$	37.3389	+	1.77329i	1.65177	+	0.0784457i
$512$	−3.33561	+	11.3600i	−0.147414	+	0.502047i
$513$	33.9801	+	1.65859i	1.50026	+	0.0732286i
$514$	−17.1097	−	12.1838i	−0.754676	−	0.537402i
$515$	−2.41822	−	0.836953i	−0.106559	−	0.0368805i
$516$	−9.03611	+	4.29688i	−0.397792	+	0.189159i
$517$	27.2483	+	3.91772i	1.19838	+	0.172301i
$518$	−3.09133	+	1.78537i	−0.135825	+	0.0784447i
$519$	0.534265	+	0.368122i	0.0234516	+	0.0161588i
$520$	−1.22176	+	0.235475i	−0.0535778	+	0.0103263i
$521$	16.8593	−	23.6755i	0.738618	−	1.03724i	−0.258835	−	0.965921i	$-0.583339\pi$
$521$	16.8593	−	23.6755i	0.738618	−	1.03724i	0.997453	−	0.0713222i	$-0.0227219\pi$
$522$	23.0604	+	13.8308i	1.00933	+	0.605358i
$523$	−1.98924	−	2.08625i	−0.0869833	−	0.0912254i	0.678804	−	0.734320i	$-0.262499\pi$
$523$	−1.98924	−	2.08625i	−0.0869833	−	0.0912254i	−0.765787	+	0.643094i	$0.777650\pi$
$524$	−4.49634	+	5.18906i	−0.196424	+	0.226685i
$525$	22.1234	+	2.82892i	0.965544	+	0.123464i
$526$	−4.55230	+	9.96815i	−0.198490	+	0.434632i
$527$	0.100436	−	0.250876i	0.00437504	−	0.0109283i
$528$	8.90282	−	4.76554i	0.387446	−	0.207393i
$529$	6.12686	+	22.1689i	0.266385	+	0.963867i
$530$	−0.411462	+	0.712673i	−0.0178728	+	0.0309565i
$531$	−0.521889	−	6.63022i	−0.0226481	−	0.287727i
$532$	−4.77794	+	16.2808i	−0.207150	+	0.705864i
$533$	−2.03460	−	6.92920i	−0.0881282	−	0.300137i
$534$	−20.2693	+	6.29392i	−0.877139	+	0.272365i
$535$	1.20300	−	0.291845i	0.0520103	−	0.0126176i
$536$	10.2370	−	19.8571i	0.442173	−	0.857695i
$537$	−2.93612	+	22.9356i	−0.126703	+	0.989743i
$538$	−2.60415	+	2.25651i	−0.112273	+	0.0972851i
$539$	36.6676	−	8.90661i	1.57938	−	0.383635i
$540$	0.439672	−	1.80312i	0.0189205	−	0.0775941i
$541$	−23.7611	−	18.6859i	−1.02157	−	0.803371i	−0.0409236	−	0.999162i	$-0.513030\pi$
$541$	−23.7611	−	18.6859i	−1.02157	−	0.803371i	−0.980646	+	0.195791i	$0.937272\pi$
$542$	−0.0253916	+	0.533036i	−0.00109066	+	0.0228958i
$543$	6.35884	+	2.43221i	0.272884	+	0.104376i
$544$	0.181682	−	1.90266i	0.00778955	−	0.0815759i
$545$	−2.40364	+	1.54472i	−0.102960	+	0.0661687i
$546$	−0.912583	+	5.16805i	−0.0390550	+	0.221172i
$547$	−13.0280	+	15.0351i	−0.557035	+	0.642853i	−0.962508	−	0.271255i	$-0.912561\pi$
$547$	−13.0280	+	15.0351i	−0.557035	+	0.642853i	0.405473	+	0.914107i	$0.367107\pi$
$548$	−18.2729	−	4.43295i	−0.780578	−	0.189366i
$549$	−0.890893	−	28.7740i	−0.0380224	−	1.22804i
$550$	20.8330	−	16.3833i	0.888324	−	0.698586i
$551$	−29.0465	+	50.3100i	−1.23742	+	2.14328i
$552$	24.6862	+	3.96112i	1.05071	+	0.168597i
$553$	32.3775	+	12.9566i	1.37683	+	0.550970i
$554$	12.3265	−	1.77229i	0.523705	−	0.0752974i
$555$	0.467011	+	0.702536i	0.0198235	+	0.0298210i
$556$	10.5535	−	11.0681i	0.447566	−	0.469394i
$557$	−1.19135	+	6.18130i	−0.0504790	+	0.261910i	−0.998397	−	0.0566057i	$-0.981972\pi$
$557$	−1.19135	+	6.18130i	−0.0504790	+	0.261910i	0.947918	+	0.318516i	$0.103184\pi$
$558$	1.61834	−	1.35580i	0.0685099	−	0.0573955i
$559$	−3.61467	−	5.62453i	−0.152884	−	0.237892i
$560$	−0.927523	−	0.478003i	−0.0391950	−	0.0201993i
$561$	−2.81195	+	2.28264i	−0.118720	+	0.0963733i
$562$	16.3292	−	8.41828i	0.688805	−	0.355104i
$563$	22.5750	−	9.03768i	0.951424	−	0.380893i	0.156552	−	0.987670i	$-0.449962\pi$
$563$	22.5750	−	9.03768i	0.951424	−	0.380893i	0.794872	+	0.606777i	$0.207538\pi$
$564$	8.14268	−	2.96009i	0.342869	−	0.124642i
$565$	0.172228	+	0.334075i	0.00724568	+	0.0140546i
$566$	8.49485	+	9.80358i	0.357065	+	0.412075i
$567$	−19.5940	−	13.5305i	−0.822871	−	0.568228i
$568$	−19.8591	+	12.7627i	−0.833269	+	0.535510i
$569$	−0.0291786	−	0.0306016i	−0.00122323	−	0.00128289i	0.723122	−	0.690720i	$-0.242706\pi$
$569$	−0.0291786	−	0.0306016i	−0.00122323	−	0.00128289i	−0.724345	+	0.689437i	$0.757858\pi$
$570$	−4.07436	−	0.921908i	−0.170656	−	0.0386145i
$571$	−7.18499	−	6.85088i	−0.300683	−	0.286700i	0.524684	−	0.851297i	$-0.324183\pi$
$571$	−7.18499	−	6.85088i	−0.300683	−	0.286700i	−0.825367	+	0.564597i	$0.809032\pi$
$572$	−3.47209	−	4.87587i	−0.145175	−	0.203870i
$573$	12.3668	−	1.37432i	0.516632	−	0.0574132i
$574$	6.32569	−	15.8074i	0.264029	−	0.659787i
$575$	23.3385	−	0.369260i	0.973284	−	0.0153992i
$576$	11.8797	−	17.8256i	0.494989	−	0.742735i
$577$	−9.50804	−	12.0905i	−0.395825	−	0.503332i	0.546764	−	0.837287i	$-0.315859\pi$
$577$	−9.50804	−	12.0905i	−0.395825	−	0.503332i	−0.942589	+	0.333954i	$0.891617\pi$
$578$	1.61798	+	16.9442i	0.0672989	+	0.704786i
$579$	0.238127	−	0.860002i	0.00989621	−	0.0357405i
$580$	2.39513	+	2.07539i	0.0994522	+	0.0861758i
$581$	−3.54482	+	24.6799i	−0.147064	+	1.02390i
$582$	−16.0766	+	9.61660i	−0.666398	+	0.398621i
$583$	−11.9878	−	1.14469i	−0.496483	−	0.0474084i
$584$	13.9088	−	40.1867i	0.575549	−	1.66294i
$585$	1.23241	+	0.138420i	0.0509540	+	0.00572298i
$586$	3.13413	−	3.98538i	0.129470	−	0.164634i
$587$	0.199866	−	1.39010i	0.00824933	−	0.0573754i	−0.985281	−	0.170943i	$-0.945319\pi$
$587$	0.199866	−	1.39010i	0.00824933	−	0.0573754i	0.993530	+	0.113567i	$0.0362278\pi$
$588$	8.85151	−	7.91758i	0.365030	−	0.326515i
$589$	2.98685	+	3.44701i	0.123071	+	0.142032i
$590$	−0.0776264	+	0.812941i	−0.00319583	+	0.0334682i
$591$	−0.458476	+	0.823268i	−0.0188592	+	0.0338647i
$592$	0.340573	+	1.40386i	0.0139975	+	0.0576983i
$593$	−10.9520	−	31.6437i	−0.449744	−	1.29945i	−0.911082	−	0.412226i	$-0.864752\pi$
$593$	−10.9520	−	31.6437i	−0.449744	−	1.29945i	0.461338	−	0.887225i	$-0.347370\pi$
$594$	−27.7905	+	5.32241i	−1.14026	+	0.218381i
$595$	0.359103	+	0.105386i	0.0147218	+	0.00432041i
$596$	−1.36017	+	0.195564i	−0.0557149	+	0.00801059i
$597$	−30.4312	−	18.8980i	−1.24547	−	0.773444i
$598$	−0.174510	+	5.48946i	−0.00713624	+	0.224481i
$599$	−21.1184	+	12.1927i	−0.862876	+	0.498182i	−0.864974	−	0.501816i	$-0.832665\pi$
$599$	−21.1184	+	12.1927i	−0.862876	+	0.498182i	0.00209855	+	0.999998i	$0.499332\pi$
$600$	10.1819	−	23.2406i	0.415676	−	0.948792i
$601$	15.3385	+	7.00484i	0.625668	+	0.285733i	0.702910	−	0.711279i	$-0.251884\pi$
$601$	15.3385	+	7.00484i	0.625668	+	0.285733i	−0.0772411	+	0.997012i	$0.524611\pi$
$602$	1.49609	−	15.6916i	0.0609762	−	0.639543i
$603$	−15.6323	+	15.8575i	−0.636596	+	0.645768i
$604$	16.6523	−	15.8780i	0.677574	−	0.646066i
$605$	−5.85283	−	3.01735i	−0.237952	−	0.122673i
$606$	12.1455	+	9.25072i	0.493376	+	0.375785i
$607$	3.23102	+	16.7641i	0.131143	+	0.680435i	0.986677	+	0.162689i	$0.0520167\pi$
$607$	3.23102	+	16.7641i	0.131143	+	0.680435i	−0.855534	+	0.517746i	$0.826771\pi$
$608$	27.1385	+	17.4408i	1.10061	+	0.707320i
$609$	35.8452	−	19.1940i	1.45252	−	0.777780i
$610$	−0.503059	+	3.49885i	−0.0203683	+	0.141664i
$611$	2.65284	+	5.14580i	0.107323	+	0.208177i
$612$	−0.441212	+	1.05104i	−0.0178349	+	0.0424856i
$613$	−12.3667	+	17.3667i	−0.499488	+	0.701433i	−0.984953	−	0.172823i	$-0.944711\pi$
$613$	−12.3667	+	17.3667i	−0.499488	+	0.701433i	0.485465	+	0.874256i	$0.338650\pi$
$614$	0.782935	+	16.4358i	0.0315967	+	0.663296i
$615$	−3.82208	−	1.25695i	−0.154121	−	0.0506850i
$616$	2.03639	−	42.8787i	0.0820484	−	1.72763i
$617$	7.07598	+	24.0986i	0.284868	+	0.970172i	0.970274	+	0.242010i	$0.0778068\pi$
$617$	7.07598	+	24.0986i	0.284868	+	0.970172i	−0.685406	+	0.728162i	$0.740375\pi$
$618$	6.79740	+	10.2255i	0.273431	+	0.411330i
$619$	8.91869	+	11.3410i	0.358472	+	0.455835i	0.931521	−	0.363686i	$-0.118482\pi$
$619$	8.91869	+	11.3410i	0.358472	+	0.455835i	−0.573049	+	0.819521i	$0.694240\pi$
$620$	0.215488	−	0.124412i	0.00865419	−	0.00499650i
$621$	−22.3146	−	11.0933i	−0.895452	−	0.445158i
$622$			5.92279i			0.237482i
$623$	−7.56174	+	31.1895i	−0.302955	+	1.24958i
$624$	1.90242	+	0.943791i	0.0761577	+	0.0377819i
$625$	5.42791	−	22.3741i	0.217116	−	0.894966i
$626$	20.5169	+	3.95431i	0.820021	+	0.158046i
$627$	−12.4964	−	59.8388i	−0.499058	−	2.38973i
$628$	14.1542	−	0.674247i	0.564813	−	0.0269054i
$629$	−0.215234	−	0.471298i	−0.00858196	−	0.0187919i
$630$	2.08249	+	2.05232i	0.0829683	+	0.0817665i
$631$	−19.3025	−	12.4050i	−0.768421	−	0.493834i	0.0967514	−	0.995309i	$-0.469155\pi$
$631$	−19.3025	−	12.4050i	−0.768421	−	0.493834i	−0.865173	+	0.501474i	$0.832791\pi$
$632$	24.5244	−	31.1853i	0.975528	−	1.24048i
$633$	−22.6883	+	8.24783i	−0.901779	+	0.327822i
$634$	1.03788	−	21.7877i	0.0412193	−	0.865299i
$635$	1.02801	−	0.198132i	0.0407952	−	0.00786263i
$636$	−3.49635	+	1.46291i	−0.138639	+	0.0580080i
$637$	5.99880	+	5.19497i	0.237681	+	0.205832i
$638$	13.6125	−	46.3600i	0.538925	−	1.83541i
$639$	22.6832	−	6.25215i	0.897333	−	0.247331i
$640$	0.664598	−	0.697010i	0.0262705	−	0.0275517i
$641$	−4.30347	−	45.0680i	−0.169977	−	1.78008i	−0.530852	−	0.847465i	$-0.678128\pi$
$641$	−4.30347	−	45.0680i	−0.169977	−	1.78008i	0.360875	−	0.932614i	$-0.382478\pi$
$642$	−5.44057	−	2.38357i	−0.214722	−	0.0940722i
$643$		−	12.9942i		−	0.512440i	−0.966618	−	0.256220i	$-0.917523\pi$
$643$		−	12.9942i		−	0.512440i	0.966618	−	0.256220i	$-0.0824772\pi$
$644$	7.98800	−	9.52162i	0.314771	−	0.375204i
$645$	−3.72300	−	0.119639i	−0.146593	−	0.00471077i
$646$	2.38186	+	0.953554i	0.0937131	+	0.0375171i
$647$	−7.63665	+	0.729212i	−0.300228	+	0.0286683i	−0.244083	−	0.969754i	$-0.578487\pi$
$647$	−7.63665	+	0.729212i	−0.300228	+	0.0286683i	−0.0561449	+	0.998423i	$0.517881\pi$
$648$	−21.0516	+	17.0481i	−0.826987	+	0.669713i
$649$	−11.2931	+	3.90857i	−0.443292	+	0.153425i
$650$	5.34799	+	1.57031i	0.209765	+	0.0615927i
$651$	−0.503623	−	3.15241i	−0.0197385	−	0.123553i
$652$	9.13629	+	20.0057i	0.357805	+	0.783483i
$653$	−3.03029	−	15.7226i	−0.118584	−	0.615274i	−0.991785	−	0.127913i	$-0.959172\pi$
$653$	−3.03029	−	15.7226i	−0.118584	−	0.615274i	0.873201	−	0.487360i	$-0.162040\pi$
$654$	13.6662	+	1.09184i	0.534391	+	0.0426942i
$655$	−2.37301	+	0.950010i	−0.0927212	+	0.0371200i
$656$	−5.41574	−	4.25898i	−0.211449	−	0.166285i
$657$	−25.1577	+	34.1125i	−0.981494	+	1.33086i
$658$	−2.58119	+	13.4028i	−0.100625	+	0.522497i
$659$	15.7500	−	7.19278i	0.613533	−	0.280191i	−0.0843129	−	0.996439i	$-0.526870\pi$
$659$	15.7500	−	7.19278i	0.613533	−	0.280191i	0.697845	+	0.716248i	$0.254142\pi$
$660$	−3.33447	+	0.0516081i	−0.129794	+	0.00200884i
$661$	42.7211	−	10.3640i	1.66166	−	0.403114i	0.708530	−	0.705680i	$-0.249358\pi$
$661$	42.7211	−	10.3640i	1.66166	−	0.403114i	0.953128	+	0.302566i	$0.0978433\pi$
$662$	3.29731	−	17.1081i	0.128154	−	0.664924i
$663$	−0.734062	−	0.203255i	−0.0285086	−	0.00789377i
$664$	25.8015	+	11.7831i	1.00129	+	0.457274i
$665$	−4.35832	+	4.57219i	−0.169008	+	0.177302i
$666$	0.259886	−	4.03948i	0.0100704	−	0.156527i
$667$	34.2677	−	25.2283i	1.32685	−	0.976846i
$668$	5.22639	+	9.05238i	0.202215	+	0.350247i
$669$	24.3687	+	33.1240i	0.942148	+	1.28065i
$670$	2.22720	−	1.58598i	0.0860441	−	0.0612717i
$671$	−49.6319	+	14.5732i	−1.91602	+	0.562594i
$672$	−9.69940	−	20.3898i	−0.374163	−	0.786553i
$673$	9.12062	+	2.67806i	0.351574	+	0.103231i	0.452751	−	0.891637i	$-0.350443\pi$
$673$	9.12062	+	2.67806i	0.351574	+	0.103231i	−0.101177	+	0.994868i	$0.532261\pi$
$674$	7.74470	−	0.368925i	0.298315	−	0.0142105i
$675$	−16.5837	+	19.0934i	−0.638307	+	0.734903i
$676$	−3.75303	+	10.8437i	−0.144347	+	0.417064i
$677$	−27.7544	+	14.3084i	−1.06669	+	0.549916i	−0.899909	−	0.436079i	$-0.856367\pi$
$677$	−27.7544	+	14.3084i	−1.06669	+	0.549916i	−0.166779	+	0.985994i	$0.553337\pi$
$678$	0.313865	−	1.77596i	0.0120539	−	0.0682052i
$679$	0.00407098	+	28.3269i	0.000156230	+	1.08709i
$680$	0.230180	−	0.358168i	0.00882701	−	0.0137351i
$681$	−29.7548	+	4.74919i	−1.14021	+	0.181989i
$682$	−3.09011	−	2.20046i	−0.118327	−	0.0842600i
$683$	17.4515	−	33.8513i	0.667765	−	1.29528i	−0.274878	−	0.961479i	$-0.588638\pi$
$683$	17.4515	−	33.8513i	0.667765	−	1.29528i	0.942643	−	0.333803i	$-0.108332\pi$
$684$	−12.3552	−	14.7478i	−0.472415	−	0.563896i
$685$	−5.29019	−	4.58398i	−0.202128	−	0.175145i
$686$	3.54863	+	18.3694i	0.135487	+	0.701348i
$687$	−16.3960	−	8.13405i	−0.625546	−	0.310333i
$688$	−5.92167	−	2.37068i	−0.225761	−	0.0903813i
$689$	−1.26627	−	2.19325i	−0.0482412	−	0.0835562i
$690$	2.46325	+	1.81531i	0.0937743	+	0.0691077i
$691$	−3.05984	−	1.76660i	−0.116402	−	0.0672045i	0.440669	−	0.897670i	$-0.354741\pi$
$691$	−3.05984	−	1.76660i	−0.116402	−	0.0672045i	−0.557070	+	0.830465i	$0.688075\pi$
$692$	−0.0522173	−	0.363179i	−0.00198500	−	0.0138060i
$693$	−14.6593	+	40.1964i	−0.556862	+	1.52694i
$694$	−21.9712	+	6.45133i	−0.834016	+	0.244889i
$695$	5.38018	−	1.86210i	0.204082	−	0.0706335i
$696$	−9.45599	−	45.2799i	−0.358429	−	1.71633i
$697$	2.19642	+	1.13233i	0.0831953	+	0.0428902i
$698$	−25.9443	−	2.47738i	−0.982007	−	0.0937703i
$699$	−0.664954	+	0.539787i	−0.0251509	+	0.0204166i
$700$	−7.31778	−	10.2733i	−0.276586	−	0.388293i
$701$	−28.2215	−	4.05764i	−1.06591	−	0.153255i	−0.413032	−	0.910717i	$-0.635530\pi$
$701$	−28.2215	−	4.05764i	−1.06591	−	0.153255i	−0.652879	+	0.757462i	$0.726439\pi$
$702$	−4.30189	−	4.11148i	−0.162365	−	0.155178i
$703$	8.73502	+	0.416100i	0.329448	+	0.0156935i
$704$	−36.3742	−	12.5892i	−1.37090	−	0.474475i
$705$	3.19933	+	0.409566i	0.120494	+	0.0154252i
$706$	16.6321	+	25.8800i	0.625957	+	0.974008i
$707$	21.4308	−	8.58318i	0.805989	−	0.322804i
$708$	−2.55303	+	2.76189i	−0.0959488	+	0.103798i
$709$	8.51582	−	35.1027i	0.319818	−	1.31831i	−0.554187	−	0.832392i	$-0.686971\pi$
$709$	8.51582	−	35.1027i	0.319818	−	1.31831i	0.874005	−	0.485917i	$-0.161514\pi$
$710$	−2.87604	+	0.274628i	−0.107936	+	0.0103066i
$711$	−32.5882	+	22.3978i	−1.22215	+	0.839983i
$712$	31.6185	+	18.2550i	1.18496	+	0.684134i
$713$	−0.991849	−	3.19033i	−0.0371450	−	0.119479i
$714$	−1.06436	−	1.44633i	−0.0398327	−	0.0541276i
$715$	−0.317132	−	2.20570i	−0.0118601	−	0.0824885i
$716$	10.6517	−	7.58503i	0.398072	−	0.283466i
$717$	6.69547	−	6.58492i	0.250047	−	0.245918i
$718$	−14.1748	−	2.73196i	−0.528998	−	0.101956i
$719$	19.6619	−	18.7476i	0.733264	−	0.699166i	−0.228347	−	0.973580i	$-0.573332\pi$
$719$	19.6619	−	18.7476i	0.733264	−	0.699166i	0.961612	+	0.274414i	$0.0884837\pi$
$720$	1.03435	−	0.574440i	0.0385480	−	0.0214081i
$721$	18.5455	−	0.886104i	0.690672	−	0.0330002i
$722$	−18.2210	+	15.7886i	−0.678115	+	0.587590i
$723$	−2.77981	−	5.84579i	−0.103382	−	0.217407i
$724$	−1.43095	−	3.57433i	−0.0531807	−	0.132839i
$725$	−16.0501	−	40.0912i	−0.596085	−	1.48895i
$726$	13.5687	+	28.5342i	0.503581	+	1.05900i
$727$	15.8504	−	13.7345i	0.587860	−	0.509383i	−0.309373	−	0.950941i	$-0.600119\pi$
$727$	15.8504	−	13.7345i	0.587860	−	0.509383i	0.897233	+	0.441557i	$0.145574\pi$
$728$	7.59391	−	4.88185i	0.281449	−	0.180933i
$729$	25.0894	−	9.97610i	0.929237	−	0.369485i
$730$	3.76671	−	3.59155i	0.139412	−	0.132929i
$731$	2.24643	+	0.432963i	0.0830870	+	0.0160137i
$732$	−11.6072	+	11.4155i	−0.429013	+	0.421930i
$733$	23.7847	−	16.9370i	0.878510	−	0.625584i	−0.0492401	−	0.998787i	$-0.515680\pi$
$733$	23.7847	−	16.9370i	0.878510	−	0.625584i	0.927750	+	0.373203i	$0.121741\pi$
$734$	1.10025	+	7.65240i	0.0406109	+	0.282455i
$735$	4.27957	−	1.10992i	0.157854	−	0.0409401i
$736$	−13.0882	−	19.6742i	−0.482438	−	0.725201i
$737$	34.6503	+	20.0054i	1.27636	+	0.736908i
$738$	10.9351	+	15.9103i	0.402527	+	0.585665i
$739$	−30.5730	+	2.91936i	−1.12464	+	0.107391i	−0.640760	−	0.767741i	$-0.721381\pi$
$739$	−30.5730	+	2.91936i	−1.12464	+	0.107391i	−0.483885	+	0.875132i	$0.660775\pi$
$740$	0.112474	−	0.463623i	0.00413461	−	0.0170431i
$741$	8.72649	−	9.44037i	0.320576	−	0.346801i
$742$	0.848881	−	5.91013i	0.0311634	−	0.216968i
$743$	6.56794	+	10.2199i	0.240954	+	0.374932i	0.940577	−	0.339580i	$-0.110285\pi$
$743$	6.56794	+	10.2199i	0.240954	+	0.374932i	−0.699623	+	0.714512i	$0.746649\pi$
$744$	−3.60235	−	0.461160i	−0.132069	−	0.0169069i
$745$	−0.483436	−	0.167319i	−0.0177117	−	0.00613009i
$746$	20.2897	+	0.966519i	0.742860	+	0.0353868i
$747$	−21.0551	−	18.8671i	−0.770365	−	0.690310i
$748$	2.02736	+	0.291490i	0.0741275	+	0.0106579i
$749$	−7.31548	+	5.21092i	−0.267302	+	0.190403i
$750$	4.88777	−	3.96772i	0.178476	−	0.144881i
$751$	18.1505	+	1.73316i	0.662321	+	0.0632440i	0.420803	−	0.907152i	$-0.361749\pi$
$751$	18.1505	+	1.73316i	0.662321	+	0.0632440i	0.241518	+	0.970396i	$0.422355\pi$
$752$	4.90927	+	2.53091i	0.179023	+	0.0922926i
$753$	−9.71734	−	46.5313i	−0.354120	−	1.69570i
$754$	9.60244	−	3.32344i	0.349700	−	0.121032i
$755$	8.21878	−	2.41325i	0.299112	−	0.0878272i
$756$	1.90271	+	13.3309i	0.0692007	+	0.484841i
$757$	2.46200	+	17.1236i	0.0894828	+	0.622367i	0.984375	+	0.176084i	$0.0563432\pi$
$757$	2.46200	+	17.1236i	0.0894828	+	0.622367i	−0.894892	+	0.446282i	$0.852748\pi$
$758$	−10.6825	−	6.16755i	−0.388006	−	0.224015i
$759$	−9.18981	+	43.8240i	−0.333569	+	1.59071i
$760$	3.59299	+	6.22324i	0.130331	+	0.225741i
$761$	12.9354	+	5.17854i	0.468906	+	0.187722i	0.594068	−	0.804415i	$-0.297521\pi$
$761$	12.9354	+	5.17854i	0.468906	+	0.187722i	−0.125162	+	0.992136i	$0.539945\pi$
$762$	−4.50013	−	2.23251i	−0.163022	−	0.0808755i
$763$	12.0225	−	16.8884i	0.435245	−	0.611403i
$764$	−5.31801	−	4.60808i	−0.192399	−	0.166715i
$765$	−0.325289	+	0.272517i	−0.0117609	+	0.00985288i
$766$	8.66863	−	16.8148i	0.313210	−	0.607543i
$767$	−2.04720	−	1.45780i	−0.0739200	−	0.0526382i
$768$	−28.9896	+	4.62705i	−1.04607	+	0.166964i
$769$	13.8972	−	21.6245i	0.501146	−	0.779799i	−0.494870	−	0.868967i	$-0.664784\pi$
$769$	13.8972	−	21.6245i	0.501146	−	0.779799i	0.996017	+	0.0891679i	$0.0284208\pi$
$770$	2.62618	−	4.55019i	0.0946411	−	0.163978i
$771$	6.26755	−	35.4640i	0.225720	−	1.27721i
$772$	−0.448548	+	0.231243i	−0.0161436	+	0.00832261i
$773$	0.0310551	−	0.0897278i	0.00111697	−	0.00322729i	−0.944441	−	0.328681i	$-0.893396\pi$
$773$	0.0310551	−	0.0897278i	0.00111697	−	0.00322729i	0.945558	+	0.325454i	$0.105517\pi$
$774$	13.8635	+	11.2809i	0.498313	+	0.405484i
$775$	−3.38671	+	0.161329i	−0.121654	+	0.00579510i
$776$	30.9201	+	9.07895i	1.10997	+	0.325915i
$777$	−5.04068	−	3.47209i	−0.180834	−	0.124561i
$778$	12.8388	−	3.76981i	0.460293	−	0.135154i
$779$	−33.9744	+	24.1931i	−1.21726	+	0.866807i
$780$	−0.415607	−	0.564928i	−0.0148811	−	0.0202277i
$781$	−21.1390	−	36.6139i	−0.756415	−	1.31015i
$782$	−1.31824	−	1.33944i	−0.0471400	−	0.0478984i
$783$	−4.43634	+	45.8909i	−0.158542	+	1.64001i
$784$	7.53674	+	0.717486i	0.269169	+	0.0256245i
$785$	4.79857	+	2.19143i	0.171268	+	0.0782156i
$786$	11.8202	+	3.27292i	0.421614	+	0.116741i
$787$	−5.12341	+	26.5828i	−0.182630	+	0.947574i	0.768749	+	0.639551i	$0.220880\pi$
$787$	−5.12341	+	26.5828i	−0.182630	+	0.947574i	−0.951379	+	0.308023i	$0.900333\pi$
$788$	0.517880	−	0.125636i	0.0184487	−	0.00447561i
$789$	−18.7868	+	0.290766i	−0.668828	+	0.0103516i
$790$	4.41668	−	2.01703i	0.157139	−	0.0717628i
$791$	−2.06123	−	1.78555i	−0.0732889	−	0.0634868i
$792$	39.1737	+	28.8902i	1.39198	+	1.02657i
$793$	−8.55104	−	6.72461i	−0.303656	−	0.238798i
$794$	−28.3042	+	11.3313i	−1.00448	+	0.402133i
$795$	−1.40648	−	0.112368i	−0.0498827	−	0.00398529i
$796$	3.83383	+	19.8918i	0.135886	+	0.705046i
$797$	−2.84487	−	6.22940i	−0.100771	−	0.220657i	0.852531	−	0.522676i	$-0.175066\pi$
$797$	−2.84487	−	6.22940i	−0.100771	−	0.220657i	−0.953302	+	0.302020i	$0.902339\pi$
$798$	29.9296	−	4.78149i	1.05950	−	0.169263i
$799$	−1.90075	−	0.558111i	−0.0672438	−	0.0197446i
$800$	−22.6619	+	7.84335i	−0.801218	+	0.277304i
$801$	−24.6701	−	26.7511i	−0.871676	−	0.945205i
$802$	−24.5808	+	2.34718i	−0.867977	+	0.0828818i
$803$	70.7055	+	28.3062i	2.49514	+	0.998905i
$804$	12.5861	+	0.404453i	0.443876	+	0.0142640i
$805$	4.26747	−	1.78800i	0.150408	−	0.0630186i
$806$		−	0.797794i		−	0.0281011i
$807$	−5.41149	−	2.37083i	−0.190494	−	0.0834573i
$808$	−2.49645	−	26.1441i	−0.0878250	−	0.919745i
$809$	−25.3244	+	26.5595i	−0.890359	+	0.933781i	−0.998175	−	0.0603896i	$-0.980766\pi$
$809$	−25.3244	+	26.5595i	−0.890359	+	0.933781i	0.107816	+	0.994171i	$0.465614\pi$
$810$	−3.24609	+	0.673926i	−0.114056	+	0.0236793i
$811$	4.22829	−	14.4002i	0.148475	−	0.505660i	−0.851345	−	0.524606i	$-0.824213\pi$
$811$	4.22829	−	14.4002i	0.148475	−	0.505660i	0.999821	+	0.0189456i	$0.00603094\pi$
$812$	−21.7308	−	7.51761i	−0.762602	−	0.263816i
$813$	−0.844060	+	0.353162i	−0.0296025	+	0.0123859i
$814$	−7.14190	+	1.37649i	−0.250323	+	0.0482459i
$815$	−0.389582	+	8.17833i	−0.0136465	+	0.286474i
$816$	−0.682945	+	0.248269i	−0.0239079	+	0.00869117i
$817$	−23.8692	+	30.3522i	−0.835079	+	1.06189i
$818$	−28.8264	−	18.5256i	−1.00789	−	0.647733i
$819$	−8.67427	+	2.39222i	−0.303103	+	0.0835911i
$820$	0.945212	+	2.06972i	0.0330082	+	0.0722779i
$821$	−24.7665	+	1.17978i	−0.864358	+	0.0411744i	−0.475077	−	0.879944i	$-0.657580\pi$
$821$	−24.7665	+	1.17978i	−0.864358	+	0.0411744i	−0.389281	+	0.921119i	$0.627277\pi$
$822$	6.86616	+	32.8785i	0.239485	+	1.14677i
$823$	35.8247	+	6.90464i	1.24877	+	0.240681i	0.770448	−	0.637503i	$-0.220033\pi$
$823$	35.8247	+	6.90464i	1.24877	+	0.240681i	0.478323	+	0.878184i	$0.341245\pi$
$824$	4.97970	−	20.5266i	0.173476	−	0.715078i
$825$	40.7078	+	20.1952i	1.41726	+	0.703105i
$826$	−1.67013	−	5.68493i	−0.0581114	−	0.197804i
$827$		−	30.3785i		−	1.05637i	−0.849131	−	0.528183i	$-0.822874\pi$
$827$		−	30.3785i		−	1.05637i	0.849131	−	0.528183i	$-0.177126\pi$
$828$	3.95918	+	13.5251i	0.137591	+	0.470030i
$829$	−37.6714	+	21.7496i	−1.30838	+	0.755395i	−0.981826	−	0.189783i	$-0.939221\pi$
$829$	−37.6714	+	21.7496i	−1.30838	+	0.755395i	−0.326556	+	0.945178i	$0.605888\pi$
$830$	2.14591	+	2.72875i	0.0744856	+	0.0947161i
$831$	11.8204	+	17.7817i	0.410045	+	0.616841i
$832$	−2.28059	−	7.76696i	−0.0790651	−	0.269271i
$833$	−2.70301	+	0.258890i	−0.0936538	+	0.00897002i
$834$	−25.9509	−	8.53435i	−0.898608	−	0.295520i
$835$	0.185158	+	3.88695i	0.00640767	+	0.134513i
$836$	−20.0526	+	28.1599i	−0.693533	+	0.973931i
$837$	3.29095	+	1.50759i	0.113752	+	0.0521099i
$838$	−13.6749	−	26.5257i	−0.472393	−	0.916315i
$839$	7.01235	−	48.7720i	0.242093	−	1.68380i	−0.399486	−	0.916739i	$-0.630811\pi$
$839$	7.01235	−	48.7720i	0.242093	−	1.68380i	0.641579	−	0.767057i	$-0.278279\pi$
$840$	0.160821	−	5.02706i	0.00554887	−	0.173450i
$841$	−41.8339	−	26.8850i	−1.44255	−	0.927070i
$842$	5.05434	+	26.2244i	0.174184	+	0.903752i
$843$	25.0584	+	19.0860i	0.863057	+	0.657357i
$844$	12.1345	+	6.25579i	0.417688	+	0.215333i
$845$	−3.09166	+	2.94790i	−0.106356	+	0.101411i
$846$	−11.0216	−	10.8651i	−0.378932	−	0.373550i
$847$	47.5611	+	4.53463i	1.63422	+	0.155812i
$848$	−2.19780	−	1.00370i	−0.0754727	−	0.0344672i
$849$	−8.92523	+	20.3721i	−0.306313	+	0.699168i
$850$	−1.65170	+	0.953611i	−0.0566530	+	0.0327086i
$851$	−5.73926	−	2.84478i	−0.196739	−	0.0975179i
$852$	−11.3038	−	7.01975i	−0.387263	−	0.240493i
$853$	−32.6762	+	4.69813i	−1.11881	+	0.160861i	−0.676813	−	0.736155i	$-0.736640\pi$
$853$	−32.6762	+	4.69813i	−1.11881	+	0.160861i	−0.441999	+	0.897016i	$0.645730\pi$
$854$	−6.05015	−	24.9234i	−0.207032	−	0.852862i
$855$	−1.57249	−	6.98764i	−0.0537780	−	0.238972i
$856$	3.34191	+	9.65580i	0.114224	+	0.330028i
$857$	4.20482	+	17.3325i	0.143634	+	0.592067i	0.997442	+	0.0714791i	$0.0227719\pi$
$857$	4.20482	+	17.3325i	0.143634	+	0.592067i	−0.853808	+	0.520588i	$0.825713\pi$
$858$	−5.20229	+	9.34157i	−0.177603	+	0.318916i
$859$	1.19924	−	12.5590i	0.0409175	−	0.428507i	−0.951683	−	0.307082i	$-0.900647\pi$
$859$	1.19924	−	12.5590i	0.0409175	−	0.428507i	0.992601	−	0.121425i	$-0.0387465\pi$
$860$	1.37947	+	1.59200i	0.0470397	+	0.0542867i
$861$	29.1342	−	1.84431i	0.992889	−	0.0628538i
$862$	−3.12750	+	21.7522i	−0.106523	+	0.740883i
$863$	14.5479	−	18.4991i	0.495215	−	0.629718i	−0.472631	−	0.881261i	$-0.656696\pi$
$863$	14.5479	−	18.4991i	0.495215	−	0.629718i	0.967846	+	0.251543i	$0.0809380\pi$
$864$	25.3376	+	3.67331i	0.862001	+	0.124968i
$865$	0.0446757	−	0.129082i	0.00151902	−	0.00438892i
$866$	−15.1427	−	1.44595i	−0.514570	−	0.0491355i
$867$	−25.0454	+	14.9815i	−0.850588	+	0.508798i
$868$	−1.11579	+	1.41927i	−0.0378725	+	0.0481731i
$869$	53.6981	+	46.5297i	1.82158	+	1.57841i
$870$	1.51069	−	5.45590i	0.0512172	−	0.184972i
$871$	0.799843	+	8.37633i	0.0271016	+	0.283821i
$872$	−14.5785	−	18.5381i	−0.493692	−	0.627780i
$873$	−26.7279	−	17.8126i	−0.904603	−	0.602865i
$874$	30.2896	−	9.41680i	1.02456	−	0.318528i
$875$	−1.35612	−	9.42238i	−0.0458451	−	0.318535i
$876$	23.8235	−	2.64750i	0.804920	−	0.0894506i
$877$	−10.2805	−	14.4369i	−0.347147	−	0.487500i	0.603678	−	0.797228i	$-0.293701\pi$
$877$	−10.2805	−	14.4369i	−0.347147	−	0.487500i	−0.950825	+	0.309728i	$0.899762\pi$
$878$	9.62273	+	9.17525i	0.324751	+	0.309650i
$879$	8.47873	+	1.91849i	0.285981	+	0.0647090i
$880$	−1.46708	−	1.53863i	−0.0494552	−	0.0518671i
$881$	9.29516	−	5.97364i	0.313162	−	0.201257i	−0.374612	−	0.927182i	$-0.622224\pi$
$881$	9.29516	−	5.97364i	0.313162	−	0.201257i	0.687774	+	0.725925i	$0.258588\pi$
$882$	−19.5628	−	8.20562i	−0.658715	−	0.276297i
$883$	−5.51935	−	6.36967i	−0.185741	−	0.214356i	0.655241	−	0.755420i	$-0.272567\pi$
$883$	−5.51935	−	6.36967i	−0.185741	−	0.214356i	−0.840982	+	0.541064i	$0.818022\pi$
$884$	0.197379	+	0.382862i	0.00663858	+	0.0128771i
$885$	−1.31593	+	0.478378i	−0.0442346	+	0.0160805i
$886$	−16.1342	+	6.45917i	−0.542040	+	0.217000i
$887$	14.9015	−	7.68225i	0.500343	−	0.257945i	−0.189530	−	0.981875i	$-0.560697\pi$
$887$	14.9015	−	7.68225i	0.500343	−	0.257945i	0.689873	+	0.723930i	$0.257666\pi$
$888$	−5.40615	+	4.38853i	−0.181419	+	0.147269i
$889$	−6.38961	+	4.10765i	−0.214301	+	0.137766i
$890$	2.41575	+	3.75899i	0.0809763	+	0.126002i
$891$	−28.7038	−	39.1125i	−0.961612	−	1.31032i
$892$	4.40111	−	22.8351i	0.147360	−	0.764576i
$893$	23.0733	−	24.1985i	0.772117	−	0.809773i
$894$	1.35890	+	2.04422i	0.0454483	+	0.0683690i
$895$	4.81851	−	0.692797i	0.161065	−	0.0231577i
$896$	−2.59612	+	6.48749i	−0.0867302	+	0.216732i
$897$	−8.62848	+	3.77173i	−0.288097	+	0.125934i
$898$	6.49448	−	11.2488i	0.216724	−	0.375376i
$899$	−4.85873	+	3.82095i	−0.162048	+	0.127436i
$900$	14.2950	−	0.442600i	0.476501	−	0.0147533i
$901$	0.842155	+	0.204305i	0.0280563	+	0.00680638i
$902$	22.7168	−	26.2166i	0.756386	−	0.872916i
$903$	25.3988	−	9.23732i	0.845220	−	0.307399i
$904$	−2.60989	+	1.67727i	−0.0868036	+	0.0557853i
$905$	0.136246	−	1.42683i	0.00452897	−	0.0474295i
$906$	−38.3888	−	14.6834i	−1.27538	−	0.487824i
$907$	0.952156	−	19.9882i	0.0316158	−	0.663698i	−0.926324	−	0.376728i	$-0.877049\pi$
$907$	0.952156	−	19.9882i	0.0316158	−	0.663698i	0.957940	−	0.286970i	$-0.0926479\pi$
$908$	13.3943	+	10.5334i	0.444505	+	0.349563i
$909$	−5.38119	+	25.6177i	−0.178483	+	0.849685i
$910$	1.09985	−	0.105183i	0.0364597	−	0.00348677i
$911$	−2.93667	+	2.54464i	−0.0972962	+	0.0843077i	−0.702151	−	0.712028i	$-0.747777\pi$
$911$	−2.93667	+	2.54464i	−0.0972962	+	0.0843077i	0.604854	+	0.796336i	$0.293231\pi$
$912$	1.55740	−	12.1656i	0.0515706	−	0.402844i
$913$	−23.2778	+	45.1526i	−0.770382	+	1.49433i
$914$	−17.2022	+	4.17322i	−0.569000	+	0.138038i
$915$	−5.78811	+	1.79729i	−0.191349	+	0.0594167i
$916$	2.91609	+	9.93130i	0.0963504	+	0.328139i
$917$	13.4206	−	12.8002i	0.443186	−	0.422699i
$918$	2.03400	−	0.0945021i	0.0671320	−	0.00311903i
$919$	−5.29146	+	9.16507i	−0.174549	+	0.302328i	−0.940005	−	0.341160i	$-0.889180\pi$
$919$	−5.29146	+	9.16507i	−0.174549	+	0.302328i	0.765456	+	0.643488i	$0.222513\pi$
$920$	−0.583177	−	5.23129i	−0.0192268	−	0.172470i
$921$	−24.8731	+	13.3142i	−0.819597	+	0.438717i
$922$	−9.75616	+	24.3697i	−0.321302	+	0.802574i
$923$	3.69356	−	8.08778i	0.121575	−	0.266212i
$924$	22.3199	−	9.34264i	0.734272	−	0.307350i
$925$	−4.25706	+	4.91291i	−0.139971	+	0.161535i
$926$	−11.2510	−	11.7997i	−0.369732	−	0.387764i
$927$	−10.8284	+	18.0544i	−0.355651	+	0.592983i
$928$	−25.3592	+	35.6120i	−0.832455	+	1.16902i
$929$	17.7814	−	3.42709i	0.583390	−	0.112439i	0.110987	−	0.993822i	$-0.464599\pi$
$929$	17.7814	−	3.42709i	0.583390	−	0.112439i	0.472403	+	0.881383i	$0.343387\pi$
$930$	−0.366006	−	0.252188i	−0.0120018	−	0.00826956i
$931$	17.0213	−	42.5527i	0.557852	−	1.39461i
$932$	0.479418	+	0.0689299i	0.0157039	+	0.00225788i
$933$	−9.17098	+	4.36101i	−0.300244	+	0.142773i
$934$	35.3355	+	12.2297i	1.15621	+	0.400169i
$935$	0.621118	+	0.442296i	0.0203127	+	0.0144646i
$936$	−0.170409	+	10.2351i	−0.00557000	+	0.334543i
$937$	−11.8756	+	40.4444i	−0.387958	+	1.32126i	0.501861	+	0.864948i	$0.332649\pi$
$937$	−11.8756	+	40.4444i	−0.387958	+	1.32126i	−0.889819	+	0.456314i	$0.849169\pi$
$938$	−10.7228	+	16.6903i	−0.350113	+	0.544959i
$939$	8.98387	+	34.6804i	0.293178	+	1.13175i
$940$	−1.05805	−	1.48583i	−0.0345099	−	0.0484623i
$941$	13.6398	−	10.7264i	0.444644	−	0.349672i	−0.370597	−	0.928794i	$-0.620847\pi$
$941$	13.6398	−	10.7264i	0.444644	−	0.349672i	0.815241	+	0.579122i	$0.196604\pi$
$942$	−11.9456	−	22.3164i	−0.389209	−	0.727107i
$943$	29.9037	−	6.25567i	0.973797	−	0.203713i
$944$	−2.39769			−0.0780381
$945$	−1.64450	+	4.73572i	−0.0534957	+	0.154053i
$946$	13.3413	−	29.2134i	0.433763	−	0.949809i
$947$	19.9751	+	4.84592i	0.649105	+	0.157471i	0.546775	−	0.837279i	$-0.315855\pi$
$947$	19.9751	+	4.84592i	0.649105	+	0.157471i	0.102330	+	0.994751i	$0.467370\pi$
$948$	21.8110	+	4.93519i	0.708388	+	0.160287i
$949$	3.77615	+	15.5655i	0.122579	+	0.505278i
$950$	−1.53169	−	32.1540i	−0.0496945	−	1.04322i
$951$	34.5007	−	14.4354i	1.11876	−	0.468100i
$952$	−0.584179	+	3.03335i	−0.0189333	+	0.0983116i
$953$	15.9018	−	24.7437i	0.515109	−	0.801526i	−0.482105	−	0.876113i	$-0.660128\pi$
$953$	15.9018	−	24.7437i	0.515109	−	0.801526i	0.997214	+	0.0745876i	$0.0237641\pi$
$954$	5.04208	+	4.51812i	0.163243	+	0.146280i
$955$	−0.973619	−	2.43198i	−0.0315056	−	0.0786971i
$956$	−5.30477	−	0.252697i	−0.171568	−	0.00817281i
$957$	81.8079	−	13.0574i	2.64447	−	0.422086i
$958$	−33.2503	+	15.1849i	−1.07427	+	0.490601i
$959$	47.9976	+	16.6044i	1.54992	+	0.536184i
$960$	−4.28418	−	1.40891i	−0.138271	−	0.0454725i
$961$	−9.98038	−	28.8364i	−0.321948	−	0.930207i
$962$	−1.10703	−	1.05555i	−0.0356922	−	0.0340324i
$963$	−0.315170	−	10.1793i	−0.0101562	−	0.328025i
$964$	−1.36052	+	3.39843i	−0.0438195	+	0.109456i
$965$	−0.187870			−0.00604774
$966$	−21.4881	−	5.58211i	−0.691367	−	0.179601i
$967$	−46.3071			−1.48914			−0.744568	−	0.667546i	$-0.767345\pi$
$967$	−46.3071			−1.48914			−0.744568	+	0.667546i	$0.767345\pi$
$968$	20.2007	−	50.4588i	0.649274	−	1.62181i
$969$	0.277286	+	4.39024i	0.00890770	+	0.141035i
$970$	2.85437	+	2.72164i	0.0916483	+	0.0873865i
$971$	14.8088	+	42.7873i	0.475238	+	1.37311i	0.886979	+	0.461809i	$0.152800\pi$
$971$	14.8088	+	42.7873i	0.475238	+	1.37311i	−0.411741	+	0.911301i	$0.635079\pi$
$972$	−13.7740	−	6.58947i	−0.441800	−	0.211357i
$973$	−31.2148	+	27.0556i	−1.00070	+	0.867364i
$974$	6.39972	−	2.92265i	0.205060	−	0.0936478i
$975$	1.50627	+	9.43718i	0.0482394	+	0.302232i
$976$	−10.3667	−	0.493826i	−0.331829	−	0.0158070i
$977$	16.7297	+	41.7887i	0.535229	+	1.33694i	0.911832	+	0.410563i	$0.134668\pi$
$977$	16.7297	+	41.7887i	0.535229	+	1.33694i	−0.376603	+	0.926375i	$0.622908\pi$
$978$	25.2647	−	30.0854i	0.807876	−	0.962026i
$979$	−35.3511	+	55.0074i	−1.12983	+	1.75804i
$980$	−2.10373	−	1.35113i	−0.0672013	−	0.0431604i
$981$	8.37194	+	21.9650i	0.267296	+	0.701288i
$982$	0.284488	+	5.97213i	0.00907837	+	0.190578i
$983$	−2.73666	−	11.2807i	−0.0872860	−	0.359798i	0.911372	−	0.411583i	$-0.135024\pi$
$983$	−2.73666	−	11.2807i	−0.0872860	−	0.359798i	−0.998658	+	0.0517853i	$0.983509\pi$
$984$	7.32921	−	32.3913i	0.233647	−	1.03260i
$985$	0.192796	+	0.0467718i	0.00614299	+	0.00149027i
$986$	−1.44439	+	3.16277i	−0.0459987	+	0.100723i
$987$	−22.6538	+	5.87188i	−0.721078	+	0.186904i
$988$	−7.27022			−0.231297
$989$	24.9318	−	13.3566i	0.792784	−	0.424716i
$990$	2.64118	+	5.33960i	0.0839422	+	0.169704i
$991$	−18.4009	+	14.4706i	−0.584524	+	0.459675i	−0.866105	−	0.499863i	$-0.833384\pi$
$991$	−18.4009	+	14.4706i	−0.584524	+	0.459675i	0.281581	+	0.959538i	$0.409141\pi$
$992$	1.99102	+	2.79600i	0.0632150	+	0.0887731i
$993$	28.9184	−	7.49122i	0.917696	−	0.237727i
$994$	18.6306	−	9.60811i	0.590926	−	0.304751i
$995$	−2.12471	+	7.23611i	−0.0673579	+	0.229400i
$996$	0.247422	+	15.9862i	0.00783985	+	0.506543i
$997$	−37.0224	−	26.3635i	−1.17251	−	0.834941i	−0.183535	−	0.983013i	$-0.558754\pi$
$997$	−37.0224	−	26.3635i	−1.17251	−	0.834941i	−0.988977	+	0.148072i	$0.952693\pi$
$998$	−1.46362	−	0.506563i	−0.0463300	−	0.0160350i
$999$	6.44618	−	2.57190i	0.203948	−	0.0813713i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.bb.a.26.20	✓	1200
3.2	odd	2	inner	483.2.bb.a.26.41	yes	1200
7.3	odd	6	inner	483.2.bb.a.164.20	yes	1200
21.17	even	6	inner	483.2.bb.a.164.41	yes	1200
23.8	even	11	inner	483.2.bb.a.215.41	yes	1200
69.8	odd	22	inner	483.2.bb.a.215.20	yes	1200
161.31	odd	66	inner	483.2.bb.a.353.41	yes	1200
483.353	even	66	inner	483.2.bb.a.353.20	yes	1200

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.bb.a.26.20	✓	1200	1.1	even	1	trivial
483.2.bb.a.26.41	yes	1200	3.2	odd	2	inner
483.2.bb.a.164.20	yes	1200	7.3	odd	6	inner
483.2.bb.a.164.41	yes	1200	21.17	even	6	inner
483.2.bb.a.215.20	yes	1200	69.8	odd	22	inner
483.2.bb.a.215.41	yes	1200	23.8	even	11	inner
483.2.bb.a.353.20	yes	1200	483.353	even	66	inner
483.2.bb.a.353.41	yes	1200	161.31	odd	66	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:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.bb (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.375451 + 0.937831i) q^{2} +(-1.72861 + 0.109178i) q^{3} +(0.708904 + 0.675938i) q^{4} +(0.119266 + 0.344595i) q^{5} +(0.546616 - 1.66213i) q^{6} +(-1.73289 - 1.99928i) q^{7} +(-2.73788 + 1.25035i) q^{8} +(2.97616 - 0.377452i) q^{9} +O(q^{10})\)	\(q+(-0.375451 + 0.937831i) q^{2} +(-1.72861 + 0.109178i) q^{3} +(0.708904 + 0.675938i) q^{4} +(0.119266 + 0.344595i) q^{5} +(0.546616 - 1.66213i) q^{6} +(-1.73289 - 1.99928i) q^{7} +(-2.73788 + 1.25035i) q^{8} +(2.97616 - 0.377452i) q^{9} +(-0.367951 - 0.0175277i) q^{10} +(-2.00346 - 5.00440i) q^{11} +(-1.29921 - 1.09103i) q^{12} +(0.612899 - 0.953690i) q^{13} +(2.52560 - 0.874524i) q^{14} +(-0.243786 - 0.582649i) q^{15} +(-0.0514620 - 1.08032i) q^{16} +(0.0914536 + 0.376977i) q^{17} +(-0.763416 + 2.93285i) q^{18} +(-6.36270 - 1.54357i) q^{19} +(-0.148377 + 0.324901i) q^{20} +(3.21376 + 3.26677i) q^{21} +5.44549 q^{22} +(3.81621 + 2.90458i) q^{23} +(4.59621 - 2.46028i) q^{24} +(3.82574 - 3.00860i) q^{25} +(0.664286 + 0.932860i) q^{26} +(-5.10340 + 0.977397i) q^{27} +(0.122938 - 2.58862i) q^{28} +(2.49978 - 8.51347i) q^{29} +(0.637956 - 0.00987375i) q^{30} +(-0.567463 - 0.404089i) q^{31} +(-4.65620 - 1.61153i) q^{32} +(4.00957 + 8.43191i) q^{33} +(-0.387877 - 0.0557683i) q^{34} +(0.482268 - 0.835590i) q^{35} +(2.36495 + 1.74412i) q^{36} +(-1.31153 + 0.252776i) q^{37} +(3.83649 - 5.38760i) q^{38} +(-0.955339 + 1.71547i) q^{39} +(-0.757400 - 0.794339i) q^{40} +(4.17167 - 4.81437i) q^{41} +(-4.27029 + 1.78745i) q^{42} +(2.44997 - 5.36469i) q^{43} +(1.96241 - 4.90186i) q^{44} +(0.485022 + 0.980554i) q^{45} +(-4.15680 + 2.48843i) q^{46} +(-2.55341 + 4.42264i) q^{47} +(0.206905 + 1.86183i) q^{48} +(-0.994212 + 6.92904i) q^{49} +(1.38518 + 4.71748i) q^{50} +(-0.199245 - 0.641660i) q^{51} +(1.07912 - 0.261792i) q^{52} +(1.02366 - 1.98563i) q^{53} +(0.999443 - 5.15309i) q^{54} +(1.48555 - 1.28724i) q^{55} +(7.24424 + 3.30707i) q^{56} +(11.1671 + 1.97356i) q^{57} +(7.04565 + 5.54076i) q^{58} +(0.105485 - 2.21440i) q^{59} +(0.221014 - 0.577826i) q^{60} +(0.912151 - 9.55247i) q^{61} +(0.592022 - 0.380469i) q^{62} +(-5.91198 - 5.29609i) q^{63} +(4.67604 - 5.39644i) q^{64} +(0.401735 + 0.0974598i) q^{65} +(-9.41311 + 0.594528i) q^{66} +(-5.83441 + 4.58823i) q^{67} +(-0.189981 + 0.329057i) q^{68} +(-6.91383 - 4.60423i) q^{69} +(0.602574 + 0.766009i) q^{70} +(7.76319 - 1.11618i) q^{71} +(-7.67643 + 4.75466i) q^{72} +(-9.74990 + 10.2254i) q^{73} +(0.255353 - 1.32490i) q^{74} +(-6.28473 + 5.61837i) q^{75} +(-3.46718 - 5.39504i) q^{76} +(-6.53342 + 12.6775i) q^{77} +(-1.25014 - 1.54002i) q^{78} +(-11.7157 + 6.03989i) q^{79} +(0.366136 - 0.146579i) q^{80} +(8.71506 - 2.24671i) q^{81} +(2.94881 + 5.71988i) q^{82} +(-6.17132 - 7.12208i) q^{83} +(0.0701086 + 4.48813i) q^{84} +(-0.118997 + 0.0764749i) q^{85} +(4.11133 + 4.31184i) q^{86} +(-3.39165 + 14.9894i) q^{87} +(11.7425 + 11.1964i) q^{88} +(-7.03611 - 9.88083i) q^{89} +(-1.10170 + 0.0867186i) q^{90} +(-2.96877 + 0.427281i) q^{91} +(0.742007 + 4.63859i) q^{92} +(1.02504 + 0.636556i) q^{93} +(-3.18901 - 4.05516i) q^{94} +(-0.226943 - 2.37665i) q^{95} +(8.22468 + 2.27734i) q^{96} +(-8.09147 - 7.01130i) q^{97} +(-6.12499 - 3.53392i) q^{98} +(-7.85154 - 14.1377i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9}+O(q^{10}) \) 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9	\( 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9} - 54 q^{10} - 15 q^{12} - 64 q^{15} + 38 q^{16} + 43 q^{18} - 54 q^{19} - 70 q^{21} - 160 q^{22} - 66 q^{24} + 34 q^{25} - 76 q^{28} - 23 q^{30} - 54 q^{31} - 3 q^{33} - 28 q^{36} + 26 q^{37} + 5 q^{39} - 30 q^{40} - 68 q^{42} - 176 q^{43} - 96 q^{45} - 22 q^{46} - 128 q^{49} - 23 q^{51} - 102 q^{52} + 21 q^{54} - 36 q^{57} + 58 q^{58} - 43 q^{60} - 126 q^{61} + 41 q^{63} + 40 q^{64} - 132 q^{66} - 10 q^{67} + 20 q^{70} + 59 q^{72} - 30 q^{73} - 81 q^{75} + 164 q^{78} - 14 q^{79} - 97 q^{81} - 66 q^{82} + 24 q^{84} - 56 q^{85} - 399 q^{87} - 74 q^{88} - 156 q^{91} + 8 q^{93} - 126 q^{94} - 117 q^{96} + 196 q^{99}+O(q^{100}) \) 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9 - 54 * q^10 - 15 * q^12 - 64 * q^15 + 38 * q^16 + 43 * q^18 - 54 * q^19 - 70 * q^21 - 160 * q^22 - 66 * q^24 + 34 * q^25 - 76 * q^28 - 23 * q^30 - 54 * q^31 - 3 * q^33 - 28 * q^36 + 26 * q^37 + 5 * q^39 - 30 * q^40 - 68 * q^42 - 176 * q^43 - 96 * q^45 - 22 * q^46 - 128 * q^49 - 23 * q^51 - 102 * q^52 + 21 * q^54 - 36 * q^57 + 58 * q^58 - 43 * q^60 - 126 * q^61 + 41 * q^63 + 40 * q^64 - 132 * q^66 - 10 * q^67 + 20 * q^70 + 59 * q^72 - 30 * q^73 - 81 * q^75 + 164 * q^78 - 14 * q^79 - 97 * q^81 - 66 * q^82 + 24 * q^84 - 56 * q^85 - 399 * q^87 - 74 * q^88 - 156 * q^91 + 8 * q^93 - 126 * q^94 - 117 * q^96 + 196 * q^99

Introduction

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