LMFDB - Embedded newform 74.2.h.a.21.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [74,2,Mod(3,74)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(74, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([13]))

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

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

chi := DirichletCharacter("74.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 74 = 2 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	74.h (of order $18$, degree $6$, 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:	$0.590892974957$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$2$ over $\Q(\zeta_{18})$
Coefficient field:	$\Q(\zeta_{36})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} - x^{6} + 1 $ x^12 - x^6 + 1
Coefficient ring:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			21.1
Root			$-0.342020 + 0.939693i$ of defining polynomial
Character	$\chi$	$=$	74.21
Dual form			74.2.h.a.67.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.342020 + 0.939693i) q^{2} +(0.326352 - 0.118782i) q^{3} +(-0.766044 - 0.642788i) q^{4} +(2.57176 + 0.453471i) q^{5} +0.347296i q^{6} +(-0.361075 + 2.04776i) q^{7} +(0.866025 - 0.500000i) q^{8} +(-2.20574 + 1.85083i) q^{9} +O(q^{10})$	\(q+(-0.342020 + 0.939693i) q^{2} +(0.326352 - 0.118782i) q^{3} +(-0.766044 - 0.642788i) q^{4} +(2.57176 + 0.453471i) q^{5} +0.347296i q^{6} +(-0.361075 + 2.04776i) q^{7} +(0.866025 - 0.500000i) q^{8} +(-2.20574 + 1.85083i) q^{9} +(-1.30572 + 2.26157i) q^{10} +(-2.99810 - 5.19285i) q^{11} +(-0.326352 - 0.118782i) q^{12} +(2.64632 - 3.15377i) q^{13} +(-1.80077 - 1.03967i) q^{14} +(0.893164 - 0.157489i) q^{15} +(0.173648 + 0.984808i) q^{16} +(-0.618710 - 0.737350i) q^{17} +(-0.984808 - 2.70574i) q^{18} +(0.534946 + 1.46975i) q^{19} +(-1.67860 - 2.00048i) q^{20} +(0.125400 + 0.711179i) q^{21} +(5.90509 - 1.04123i) q^{22} +(-5.51705 - 3.18527i) q^{23} +(0.223238 - 0.266044i) q^{24} +(1.70986 + 0.622339i) q^{25} +(2.05847 + 3.56538i) q^{26} +(-1.02094 + 1.76833i) q^{27} +(1.59287 - 1.33658i) q^{28} +(-3.51193 + 2.02761i) q^{29} +(-0.157489 + 0.893164i) q^{30} +3.39997i q^{31} +(-0.984808 - 0.173648i) q^{32} +(-1.59525 - 1.33858i) q^{33} +(0.904494 - 0.329209i) q^{34} +(-1.85720 + 5.10261i) q^{35} +2.87939 q^{36} +(6.07068 + 0.383130i) q^{37} -1.56408 q^{38} +(0.489021 - 1.34357i) q^{39} +(2.45395 - 0.893164i) q^{40} +(7.94502 + 6.66666i) q^{41} +(-0.711179 - 0.125400i) q^{42} +3.76932i q^{43} +(-1.04123 + 5.90509i) q^{44} +(-6.51193 + 3.75967i) q^{45} +(4.88011 - 4.09490i) q^{46} +(3.08750 - 5.34771i) q^{47} +(0.173648 + 0.300767i) q^{48} +(2.51491 + 0.915354i) q^{49} +(-1.16962 + 1.39389i) q^{50} +(-0.289501 - 0.167144i) q^{51} +(-4.05440 + 0.714901i) q^{52} +(-1.39401 - 7.90585i) q^{53} +(-1.31250 - 1.56418i) q^{54} +(-5.35558 - 14.7143i) q^{55} +(0.711179 + 1.95395i) q^{56} +(0.349161 + 0.416114i) q^{57} +(-0.704183 - 3.99362i) q^{58} +(5.02269 - 0.885636i) q^{59} +(-0.785435 - 0.453471i) q^{60} +(-6.25519 + 7.45465i) q^{61} +(-3.19493 - 1.16286i) q^{62} +(-2.99362 - 5.18510i) q^{63} +(0.500000 - 0.866025i) q^{64} +(8.23586 - 6.91071i) q^{65} +(1.80346 - 1.04123i) q^{66} +(-1.83263 + 10.3934i) q^{67} +0.962542i q^{68} +(-2.17885 - 0.384190i) q^{69} +(-4.15968 - 3.49039i) q^{70} +(-10.1503 + 3.69442i) q^{71} +(-0.984808 + 2.70574i) q^{72} +3.55293 q^{73} +(-2.43632 + 5.57354i) q^{74} +0.631940 q^{75} +(0.534946 - 1.46975i) q^{76} +(11.7162 - 4.26436i) q^{77} +(1.09529 + 0.919059i) q^{78} +(2.51098 + 0.442753i) q^{79} +2.61144i q^{80} +(1.37686 - 7.80856i) q^{81} +(-8.98197 + 5.18574i) q^{82} +(5.29798 - 4.44553i) q^{83} +(0.361075 - 0.625400i) q^{84} +(-1.25681 - 2.17686i) q^{85} +(-3.54200 - 1.28918i) q^{86} +(-0.905280 + 1.07887i) q^{87} +(-5.19285 - 2.99810i) q^{88} +(-16.0165 + 2.82414i) q^{89} +(-1.30572 - 7.40509i) q^{90} +(5.50263 + 6.55778i) q^{91} +(2.17885 + 5.98635i) q^{92} +(0.403856 + 1.10959i) q^{93} +(3.96922 + 4.73033i) q^{94} +(0.709264 + 4.02243i) q^{95} +(-0.342020 + 0.0603074i) q^{96} +(-14.1175 - 8.15074i) q^{97} +(-1.72030 + 2.05018i) q^{98} +(16.2241 + 5.90509i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + 6 q^{3} - 12 q^{7} - 6 q^{9}+O(q^{10}) $ 12 * q + 6 * q^3 - 12 * q^7 - 6 * q^9	$ 12 q + 6 q^{3} - 12 q^{7} - 6 q^{9} + 6 q^{10} - 6 q^{11} - 6 q^{12} + 6 q^{13} - 18 q^{14} - 18 q^{19} - 6 q^{21} - 18 q^{25} + 12 q^{26} - 6 q^{27} - 6 q^{28} + 18 q^{29} + 24 q^{30} - 6 q^{33} + 12 q^{34} + 18 q^{35} + 12 q^{36} + 30 q^{37} - 24 q^{38} + 30 q^{39} + 12 q^{40} + 24 q^{41} + 6 q^{44} - 18 q^{45} + 30 q^{46} + 6 q^{47} + 12 q^{49} - 36 q^{50} - 12 q^{52} - 12 q^{53} - 18 q^{55} - 36 q^{57} + 6 q^{58} - 36 q^{61} - 6 q^{63} + 6 q^{64} + 36 q^{65} - 30 q^{67} - 18 q^{69} - 12 q^{70} + 12 q^{71} - 48 q^{74} - 36 q^{75} - 18 q^{76} + 12 q^{77} - 6 q^{78} + 6 q^{79} + 24 q^{81} - 48 q^{83} + 12 q^{84} + 18 q^{85} - 36 q^{86} + 36 q^{87} - 36 q^{88} - 18 q^{89} + 6 q^{90} - 6 q^{91} + 18 q^{92} - 12 q^{93} + 36 q^{97} + 36 q^{98} + 30 q^{99}+O(q^{100}) $ 12 * q + 6 * q^3 - 12 * q^7 - 6 * q^9 + 6 * q^10 - 6 * q^11 - 6 * q^12 + 6 * q^13 - 18 * q^14 - 18 * q^19 - 6 * q^21 - 18 * q^25 + 12 * q^26 - 6 * q^27 - 6 * q^28 + 18 * q^29 + 24 * q^30 - 6 * q^33 + 12 * q^34 + 18 * q^35 + 12 * q^36 + 30 * q^37 - 24 * q^38 + 30 * q^39 + 12 * q^40 + 24 * q^41 + 6 * q^44 - 18 * q^45 + 30 * q^46 + 6 * q^47 + 12 * q^49 - 36 * q^50 - 12 * q^52 - 12 * q^53 - 18 * q^55 - 36 * q^57 + 6 * q^58 - 36 * q^61 - 6 * q^63 + 6 * q^64 + 36 * q^65 - 30 * q^67 - 18 * q^69 - 12 * q^70 + 12 * q^71 - 48 * q^74 - 36 * q^75 - 18 * q^76 + 12 * q^77 - 6 * q^78 + 6 * q^79 + 24 * q^81 - 48 * q^83 + 12 * q^84 + 18 * q^85 - 36 * q^86 + 36 * q^87 - 36 * q^88 - 18 * q^89 + 6 * q^90 - 6 * q^91 + 18 * q^92 - 12 * q^93 + 36 * q^97 + 36 * q^98 + 30 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/74\mathbb{Z}\right)^\times$.

$n$	$39$
$\chi(n)$	$e\left(\frac{11}{18}\right)$

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 $

$2$	−0.342020	+	0.939693i	−0.241845	+	0.664463i
$2$	−0.342020	+	0.939693i	−0.241845	+	0.664463i
$3$	0.326352	−	0.118782i	0.188419	−	0.0685790i	−0.246087	−	0.969248i	$-0.579145\pi$
$3$	0.326352	−	0.118782i	0.188419	−	0.0685790i	0.434507	+	0.900669i	$0.356923\pi$
$4$	−0.766044	−	0.642788i	−0.383022	−	0.321394i
$5$	2.57176	+	0.453471i	1.15013	+	0.202798i	0.716031	−	0.698068i	$-0.245957\pi$
$5$	2.57176	+	0.453471i	1.15013	+	0.202798i	0.434096	+	0.900867i	$0.357068\pi$
$6$			0.347296i			0.141783i
$7$	−0.361075	+	2.04776i	−0.136473	+	0.773979i	0.837349	+	0.546669i	$0.184104\pi$
$7$	−0.361075	+	2.04776i	−0.136473	+	0.773979i	−0.973822	+	0.227311i	$0.927007\pi$
$8$	0.866025	−	0.500000i	0.306186	−	0.176777i
$9$	−2.20574	+	1.85083i	−0.735246	+	0.616944i
$10$	−1.30572	+	2.26157i	−0.412904	+	0.715171i
$11$	−2.99810	−	5.19285i	−0.903960	−	1.56570i	−0.822308	−	0.569043i	$-0.807314\pi$
$11$	−2.99810	−	5.19285i	−0.903960	−	1.56570i	−0.0816522	−	0.996661i	$-0.526020\pi$
$12$	−0.326352	−	0.118782i	−0.0942097	−	0.0342895i
$13$	2.64632	−	3.15377i	0.733958	−	0.874697i	−0.261949	−	0.965082i	$-0.584365\pi$
$13$	2.64632	−	3.15377i	0.733958	−	0.874697i	0.995907	+	0.0903843i	$0.0288095\pi$
$14$	−1.80077	−	1.03967i	−0.481275	−	0.277864i
$15$	0.893164	−	0.157489i	0.230614	−	0.0406634i
$16$	0.173648	+	0.984808i	0.0434120	+	0.246202i
$17$	−0.618710	−	0.737350i	−0.150059	−	0.178834i	0.685778	−	0.727810i	$-0.259462\pi$
$17$	−0.618710	−	0.737350i	−0.150059	−	0.178834i	−0.835838	+	0.548977i	$0.815018\pi$
$18$	−0.984808	−	2.70574i	−0.232121	−	0.637748i
$19$	0.534946	+	1.46975i	0.122725	+	0.337184i	0.985808	−	0.167878i	$-0.0536916\pi$
$19$	0.534946	+	1.46975i	0.122725	+	0.337184i	−0.863083	+	0.505063i	$0.831469\pi$
$20$	−1.67860	−	2.00048i	−0.375346	−	0.447320i
$21$	0.125400	+	0.711179i	0.0273645	+	0.155192i
$22$	5.90509	−	1.04123i	1.25897	−	0.221990i
$23$	−5.51705	−	3.18527i	−1.15038	−	0.664174i	−0.201403	−	0.979508i	$-0.564550\pi$
$23$	−5.51705	−	3.18527i	−1.15038	−	0.664174i	−0.948981	+	0.315334i	$0.897883\pi$
$24$	0.223238	−	0.266044i	0.0455682	−	0.0543061i
$25$	1.70986	+	0.622339i	0.341973	+	0.124468i
$26$	2.05847	+	3.56538i	0.403700	+	0.699229i
$27$	−1.02094	+	1.76833i	−0.196481	+	0.340315i
$28$	1.59287	−	1.33658i	0.301025	−	0.252590i
$29$	−3.51193	+	2.02761i	−0.652149	+	0.376519i	−0.789279	−	0.614035i	$-0.789546\pi$
$29$	−3.51193	+	2.02761i	−0.652149	+	0.376519i	0.137130	+	0.990553i	$0.456212\pi$
$30$	−0.157489	+	0.893164i	−0.0287534	+	0.163069i
$31$			3.39997i			0.610653i	0.952248	+	0.305326i	$0.0987655\pi$
$31$			3.39997i			0.610653i	−0.952248	+	0.305326i	$0.901234\pi$
$32$	−0.984808	−	0.173648i	−0.174091	−	0.0306970i
$33$	−1.59525	−	1.33858i	−0.277698	−	0.233016i
$34$	0.904494	−	0.329209i	0.155119	−	0.0564588i
$35$	−1.85720	+	5.10261i	−0.313924	+	0.862498i
$36$	2.87939			0.479898
$37$	6.07068	+	0.383130i	0.998014	+	0.0629862i
$37$	6.07068	+	0.383130i	0.998014	+	0.0629862i
$38$	−1.56408			−0.253727
$39$	0.489021	−	1.34357i	0.0783060	−	0.215144i
$40$	2.45395	−	0.893164i	0.388003	−	0.141222i
$41$	7.94502	+	6.66666i	1.24080	+	1.04116i	0.997461	+	0.0712179i	$0.0226886\pi$
$41$	7.94502	+	6.66666i	1.24080	+	1.04116i	0.243343	+	0.969940i	$0.421756\pi$
$42$	−0.711179	−	0.125400i	−0.109737	−	0.0193496i
$43$			3.76932i			0.574816i	0.957808	+	0.287408i	$0.0927936\pi$
$43$			3.76932i			0.574816i	−0.957808	+	0.287408i	$0.907206\pi$
$44$	−1.04123	+	5.90509i	−0.156971	+	0.890227i
$45$	−6.51193	+	3.75967i	−0.970741	+	0.560458i
$46$	4.88011	−	4.09490i	0.719534	−	0.603760i
$47$	3.08750	−	5.34771i	0.450359	−	0.780044i	−0.548050	−	0.836446i	$-0.684629\pi$
$47$	3.08750	−	5.34771i	0.450359	−	0.780044i	0.998408	+	0.0564019i	$0.0179628\pi$
$48$	0.173648	+	0.300767i	0.0250640	+	0.0434120i
$49$	2.51491	+	0.915354i	0.359273	+	0.130765i
$50$	−1.16962	+	1.39389i	−0.165409	+	0.197126i
$51$	−0.289501	−	0.167144i	−0.0405383	−	0.0234048i
$52$	−4.05440	+	0.714901i	−0.562245	+	0.0991389i
$53$	−1.39401	−	7.90585i	−0.191483	−	1.08595i	−0.917339	−	0.398106i	$-0.869668\pi$
$53$	−1.39401	−	7.90585i	−0.191483	−	1.08595i	0.725857	−	0.687846i	$-0.241444\pi$
$54$	−1.31250	−	1.56418i	−0.178609	−	0.212858i
$55$	−5.35558	−	14.7143i	−0.722146	−	1.98408i
$56$	0.711179	+	1.95395i	0.0950352	+	0.261107i
$57$	0.349161	+	0.416114i	0.0462475	+	0.0551156i
$58$	−0.704183	−	3.99362i	−0.0924638	−	0.524388i
$59$	5.02269	−	0.885636i	0.653899	−	0.115300i	0.163150	−	0.986601i	$-0.447834\pi$
$59$	5.02269	−	0.885636i	0.653899	−	0.115300i	0.490749	+	0.871301i	$0.336723\pi$
$60$	−0.785435	−	0.453471i	−0.101399	−	0.0585429i
$61$	−6.25519	+	7.45465i	−0.800895	+	0.954470i	−0.999673	−	0.0255750i	$-0.991858\pi$
$61$	−6.25519	+	7.45465i	−0.800895	+	0.954470i	0.198778	+	0.980045i	$0.436303\pi$
$62$	−3.19493	−	1.16286i	−0.405756	−	0.147683i
$63$	−2.99362	−	5.18510i	−0.377161	−	0.653262i
$64$	0.500000	−	0.866025i	0.0625000	−	0.108253i
$65$	8.23586	−	6.91071i	1.02153	−	0.857168i
$66$	1.80346	−	1.04123i	0.221990	−	0.128166i
$67$	−1.83263	+	10.3934i	−0.223892	+	1.26975i	0.640901	+	0.767624i	$0.278561\pi$
$67$	−1.83263	+	10.3934i	−0.223892	+	1.26975i	−0.864792	+	0.502130i	$0.832550\pi$
$68$			0.962542i			0.116725i
$69$	−2.17885	−	0.384190i	−0.262303	−	0.0462511i
$70$	−4.15968	−	3.49039i	−0.497177	−	0.417181i
$71$	−10.1503	+	3.69442i	−1.20462	+	0.438447i	−0.864835	−	0.502056i	$-0.832577\pi$
$71$	−10.1503	+	3.69442i	−1.20462	+	0.438447i	−0.339787	+	0.940502i	$0.610355\pi$
$72$	−0.984808	+	2.70574i	−0.116061	+	0.318874i
$73$	3.55293			0.415839			0.207920	−	0.978146i	$-0.433331\pi$
$73$	3.55293			0.415839			0.207920	+	0.978146i	$0.433331\pi$
$74$	−2.43632	+	5.57354i	−0.283217	+	0.647911i
$75$	0.631940			0.0729701
$76$	0.534946	−	1.46975i	0.0613625	−	0.168592i
$77$	11.7162	−	4.26436i	1.33519	−	0.485969i
$78$	1.09529	+	0.919059i	0.124017	+	0.104063i
$79$	2.51098	+	0.442753i	0.282507	+	0.0498136i	0.313106	−	0.949718i	$-0.398630\pi$
$79$	2.51098	+	0.442753i	0.282507	+	0.0498136i	−0.0305991	+	0.999532i	$0.509742\pi$
$80$			2.61144i			0.291967i
$81$	1.37686	−	7.80856i	0.152984	−	0.867617i
$82$	−8.98197	+	5.18574i	−0.991893	+	0.572670i
$83$	5.29798	−	4.44553i	0.581529	−	0.487960i	−0.303920	−	0.952698i	$-0.598296\pi$
$83$	5.29798	−	4.44553i	0.581529	−	0.487960i	0.885449	+	0.464737i	$0.153851\pi$
$84$	0.361075	−	0.625400i	0.0393965	−	0.0682367i
$85$	−1.25681	−	2.17686i	−0.136320	−	0.236113i
$86$	−3.54200	−	1.28918i	−0.381944	−	0.139016i
$87$	−0.905280	+	1.07887i	−0.0970562	+	0.115667i
$88$	−5.19285	−	2.99810i	−0.553560	−	0.319598i
$89$	−16.0165	+	2.82414i	−1.69774	+	0.299358i	−0.936905	−	0.349584i	$-0.886323\pi$
$89$	−16.0165	+	2.82414i	−1.69774	+	0.299358i	−0.760838	+	0.648942i	$0.775212\pi$
$90$	−1.30572	−	7.40509i	−0.137635	−	0.780566i
$91$	5.50263	+	6.55778i	0.576832	+	0.687442i
$92$	2.17885	+	5.98635i	0.227161	+	0.624120i
$93$	0.403856	+	1.10959i	0.0418780	+	0.115059i
$94$	3.96922	+	4.73033i	0.409394	+	0.487896i
$95$	0.709264	+	4.02243i	0.0727689	+	0.412693i
$96$	−0.342020	+	0.0603074i	−0.0349073	+	0.00615510i
$97$	−14.1175	−	8.15074i	−1.43342	−	0.827583i	−0.436036	−	0.899929i	$-0.643618\pi$
$97$	−14.1175	−	8.15074i	−1.43342	−	0.827583i	−0.997380	+	0.0723469i	$0.976951\pi$
$98$	−1.72030	+	2.05018i	−0.173777	+	0.207099i
$99$	16.2241	+	5.90509i	1.63058	+	0.593484i
$100$	−0.909799	−	1.57582i	−0.0909799	−	0.157582i
$101$	−2.05124	+	3.55285i	−0.204106	+	0.353521i	−0.949847	−	0.312714i	$-0.898762\pi$
$101$	−2.05124	+	3.55285i	−0.204106	+	0.353521i	0.745742	+	0.666235i	$0.232095\pi$
$102$	0.256079	−	0.214876i	0.0253556	−	0.0212759i
$103$	9.35250	−	5.39967i	0.921530	−	0.532045i	0.0374069	−	0.999300i	$-0.488090\pi$
$103$	9.35250	−	5.39967i	0.921530	−	0.532045i	0.884123	+	0.467255i	$0.154757\pi$
$104$	0.714901	−	4.05440i	0.0701018	−	0.397567i
$105$			1.88585i			0.184040i
$106$	7.90585	+	1.39401i	0.767884	+	0.135399i
$107$	15.5549	+	13.0521i	1.50375	+	1.26180i	0.874930	+	0.484249i	$0.160907\pi$
$107$	15.5549	+	13.0521i	1.50375	+	1.26180i	0.628823	+	0.777549i	$0.283537\pi$
$108$	1.91875	−	0.698367i	0.184632	−	0.0672004i
$109$	2.13072	−	5.85411i	0.204086	−	0.560722i	−0.794851	−	0.606804i	$-0.792451\pi$
$109$	2.13072	−	5.85411i	0.204086	−	0.560722i	0.998938	+	0.0460817i	$0.0146734\pi$
$110$	15.6587			1.49300
$111$	2.02669	−	0.596055i	0.192365	−	0.0565750i
$112$	−2.07935			−0.196480
$113$	2.09726	−	5.76217i	0.197294	−	0.542059i	−0.801112	−	0.598515i	$-0.795758\pi$
$113$	2.09726	−	5.76217i	0.197294	−	0.542059i	0.998405	+	0.0564555i	$0.0179799\pi$
$114$	−0.510439	+	0.185785i	−0.0478070	+	0.0174003i
$115$	−12.7441	−	10.6936i	−1.18839	−	0.997181i
$116$	3.99362	+	0.704183i	0.370798	+	0.0653818i
$117$			11.8543i			1.09593i
$118$	−0.885636	+	5.02269i	−0.0815294	+	0.462376i
$119$	1.73331	−	1.00073i	0.158893	−	0.0917367i
$120$	0.694758	−	0.582971i	0.0634224	−	0.0532177i
$121$	−12.4772	+	21.6111i	−1.13429	+	1.96464i
$122$	−4.86567	−	8.42760i	−0.440517	−	0.762999i
$123$	3.38475	+	1.23195i	0.305193	+	0.111081i
$124$	2.18546	−	2.60453i	0.196260	−	0.233893i
$125$	−7.19270	−	4.15271i	−0.643335	−	0.371429i
$126$	5.89628	−	1.03967i	0.525283	−	0.0926215i
$127$	−1.10807	−	6.28420i	−0.0983257	−	0.557633i	−0.993677	−	0.112273i	$-0.964187\pi$
$127$	−1.10807	−	6.28420i	−0.0983257	−	0.557633i	0.895352	−	0.445360i	$-0.146924\pi$
$128$	0.642788	+	0.766044i	0.0568149	+	0.0677094i
$129$	0.447729	+	1.23013i	0.0394203	+	0.108307i
$130$	3.67711	+	10.1028i	0.322504	+	0.886072i
$131$	6.71929	+	8.00774i	0.587067	+	0.699640i	0.975039	−	0.222032i	$-0.0712688\pi$
$131$	6.71929	+	8.00774i	0.587067	+	0.699640i	−0.387972	+	0.921671i	$0.626824\pi$
$132$	0.361615	+	2.05082i	0.0314745	+	0.178501i
$133$	−3.20285	+	0.564749i	−0.277722	+	0.0489699i
$134$	−9.13979	−	5.27686i	−0.789557	−	0.455851i
$135$	−3.42751	+	4.08475i	−0.294993	+	0.351559i
$136$	−0.904494	−	0.329209i	−0.0775597	−	0.0282294i
$137$	−3.12091	−	5.40557i	−0.266637	−	0.461829i	0.701354	−	0.712813i	$-0.252579\pi$
$137$	−3.12091	−	5.40557i	−0.266637	−	0.461829i	−0.967991	+	0.250984i	$0.919246\pi$
$138$	1.10623	−	1.91605i	0.0941687	−	0.163105i
$139$	5.27989	−	4.43035i	0.447834	−	0.375778i	−0.390797	−	0.920477i	$-0.627801\pi$
$139$	5.27989	−	4.43035i	0.447834	−	0.375778i	0.838632	+	0.544699i	$0.183356\pi$
$140$	4.70259	−	2.71504i	0.397441	−	0.229463i
$141$	0.372398	−	2.11198i	0.0313616	−	0.177861i
$142$		−	10.8018i		−	0.906463i
$143$	−24.3110	−	4.28668i	−2.03299	−	0.358470i
$144$	−2.20574	−	1.85083i	−0.183811	−	0.154236i
$145$	−9.95132	+	3.62198i	−0.826412	+	0.300789i
$146$	−1.21517	+	3.33866i	−0.100569	+	0.276310i
$147$	0.929475			0.0766618
$148$	−4.40414	−	4.19566i	−0.362018	−	0.344881i
$149$	3.49508			0.286328			0.143164	−	0.989699i	$-0.454272\pi$
$149$	3.49508			0.286328			0.143164	+	0.989699i	$0.454272\pi$
$150$	−0.216136	+	0.593829i	−0.0176474	+	0.0484860i
$151$	8.84115	−	3.21791i	0.719482	−	0.261870i	0.0437763	−	0.999041i	$-0.486061\pi$
$151$	8.84115	−	3.21791i	0.719482	−	0.261870i	0.675706	+	0.737171i	$0.263839\pi$
$152$	1.19815	+	1.00537i	0.0971830	+	0.0815462i
$153$	2.72942	+	0.481271i	0.220661	+	0.0389085i
$154$			12.4682i			1.00471i
$155$	−1.54179	+	8.74391i	−0.123839	+	0.702328i
$156$	−1.23824	+	0.714901i	−0.0991389	+	0.0572379i
$157$	1.94170	−	1.62928i	0.154964	−	0.130030i	−0.562009	−	0.827131i	$-0.689971\pi$
$157$	1.94170	−	1.62928i	0.154964	−	0.130030i	0.716973	+	0.697101i	$0.245527\pi$
$158$	−1.27486	+	2.20812i	−0.101422	+	0.175668i
$159$	−1.39401	−	2.41450i	−0.110553	−	0.191483i
$160$	−2.45395	−	0.893164i	−0.194002	−	0.0706108i
$161$	8.51472	−	10.1475i	0.671054	−	0.799731i
$162$	6.86673	+	3.96451i	0.539501	+	0.311481i
$163$	−9.23549	+	1.62847i	−0.723379	+	0.127551i	−0.523202	−	0.852208i	$-0.675263\pi$
$163$	−9.23549	+	1.62847i	−0.723379	+	0.127551i	−0.200177	+	0.979760i	$0.564152\pi$
$164$	−1.80099	−	10.2139i	−0.140634	−	0.797573i
$165$	−3.49561	−	4.16590i	−0.272133	−	0.324315i
$166$	2.36542	+	6.49893i	0.183592	+	0.504415i
$167$	−3.56469	−	9.79392i	−0.275844	−	0.757876i	−0.997822	−	0.0659599i	$-0.978989\pi$
$167$	−3.56469	−	9.79392i	−0.275844	−	0.757876i	0.721978	−	0.691916i	$-0.243233\pi$
$168$	0.464189	+	0.553199i	0.0358129	+	0.0426802i
$169$	−0.685785	−	3.88928i	−0.0527527	−	0.299175i
$170$	2.47543	−	0.436485i	0.189857	−	0.0334769i
$171$	−3.90021	−	2.25179i	−0.298257	−	0.172199i
$172$	2.42287	−	2.88747i	0.184742	−	0.220167i
$173$	−2.75312	−	1.00205i	−0.209316	−	0.0761846i	0.235234	−	0.971939i	$-0.424414\pi$
$173$	−2.75312	−	1.00205i	−0.209316	−	0.0761846i	−0.444550	+	0.895754i	$0.646636\pi$
$174$	−0.704183	−	1.21968i	−0.0533840	−	0.0924638i
$175$	−1.89179	+	3.27667i	−0.143006	+	0.247693i
$176$	4.59335	−	3.85428i	0.346237	−	0.290527i
$177$	1.53397	−	0.885636i	0.115300	−	0.0665685i
$178$	2.82414	−	16.0165i	0.211678	−	1.20049i
$179$			8.76703i			0.655279i	0.944803	+	0.327639i	$0.106253\pi$
$179$			8.76703i			0.655279i	−0.944803	+	0.327639i	$0.893747\pi$
$180$	7.40509	+	1.30572i	0.551943	+	0.0973225i
$181$	−20.4965	−	17.1986i	−1.52349	−	1.27836i	−0.829750	−	0.558135i	$-0.811517\pi$
$181$	−20.4965	−	17.1986i	−1.52349	−	1.27836i	−0.693740	−	0.720225i	$-0.744038\pi$
$182$	−8.04430	+	2.92789i	−0.596283	+	0.217029i
$183$	−1.15591	+	3.17584i	−0.0854475	+	0.234765i
$184$	−6.37054			−0.469642
$185$	15.4386	+	3.73820i	1.13507	+	0.274838i
$186$	−1.18080			−0.0865802
$187$	−1.97400	+	5.42352i	−0.144353	+	0.396607i
$188$	−5.80261	+	2.11198i	−0.423199	+	0.154032i
$189$	−3.25247	−	2.72915i	−0.236582	−	0.198516i
$190$	−4.02243	−	0.709264i	−0.291818	−	0.0514554i
$191$		−	1.81758i		−	0.131515i	−0.997836	−	0.0657577i	$-0.979054\pi$
$191$		−	1.81758i		−	0.131515i	0.997836	−	0.0657577i	$-0.0209464\pi$
$192$	0.0603074	−	0.342020i	0.00435231	−	0.0246832i
$193$	0.922363	−	0.532526i	0.0663931	−	0.0383321i	−0.466436	−	0.884555i	$-0.654462\pi$
$193$	0.922363	−	0.532526i	0.0663931	−	0.0383321i	0.532829	+	0.846223i	$0.321129\pi$
$194$	12.4877	−	10.4784i	0.896562	−	0.752305i
$195$	1.86692	−	3.23360i	0.133693	−	0.231563i
$196$	−1.33816	−	2.31776i	−0.0955827	−	0.165554i
$197$	14.8064	+	5.38909i	1.05491	+	0.383957i	0.810515	−	0.585718i	$-0.199187\pi$
$197$	14.8064	+	5.38909i	1.05491	+	0.383957i	0.244398	+	0.969675i	$0.421410\pi$
$198$	−11.0979	+	13.2260i	−0.788697	+	0.939932i
$199$	17.8722	+	10.3185i	1.26693	+	0.731461i	0.974406	−	0.224797i	$-0.0721719\pi$
$199$	17.8722	+	10.3185i	1.26693	+	0.731461i	0.292523	+	0.956259i	$0.405505\pi$
$200$	1.79195	−	0.315970i	0.126710	−	0.0223424i
$201$	0.636467	+	3.60958i	0.0448929	+	0.254600i
$202$	−2.63702	−	3.14268i	−0.185540	−	0.221118i
$203$	−2.88399	−	7.92370i	−0.202417	−	0.556135i
$204$	0.114333	+	0.314127i	0.00800491	+	0.0219933i
$205$	17.4096	+	20.7479i	1.21594	+	1.44910i
$206$	1.87529	+	10.6353i	0.130657	+	0.740995i
$207$	18.0646	−	3.18527i	1.25557	−	0.221391i
$208$	3.56538	+	2.05847i	0.247215	+	0.142730i
$209$	6.02839	−	7.18435i	0.416992	−	0.496952i
$210$	−1.77212	−	0.644998i	−0.122288	−	0.0445091i
$211$	−3.10070	−	5.37057i	−0.213461	−	0.369725i	0.739335	−	0.673338i	$-0.235140\pi$
$211$	−3.10070	−	5.37057i	−0.213461	−	0.369725i	−0.952795	+	0.303613i	$0.901807\pi$
$212$	−4.01391	+	6.95229i	−0.275676	+	0.477485i
$213$	−2.87375	+	2.41136i	−0.196906	+	0.165224i
$214$	−17.5851	+	10.1528i	−1.20209	+	0.694029i
$215$	−1.70928	+	9.69380i	−0.116572	+	0.661112i
$216$			2.04189i			0.138933i
$217$	−6.96231	−	1.22764i	−0.472633	−	0.0833379i
$218$	4.77232	+	4.00445i	0.323222	+	0.271216i
$219$	1.15951	−	0.422026i	0.0783521	−	0.0285178i
$220$	−5.35558	+	14.7143i	−0.361073	+	0.992040i
$221$	−3.96274			−0.266563
$222$	−0.133060	+	2.10833i	−0.00893039	+	0.141502i
$223$	0.839150			0.0561936			0.0280968	−	0.999605i	$-0.491055\pi$
$223$	0.839150			0.0561936			0.0280968	+	0.999605i	$0.491055\pi$
$224$	0.711179	−	1.95395i	0.0475176	−	0.130554i
$225$	−4.92335	+	1.79195i	−0.328224	+	0.119464i
$226$	4.69737	+	3.94156i	0.312464	+	0.262188i
$227$	6.42458	+	1.13283i	0.426415	+	0.0751884i	0.382737	−	0.923857i	$-0.374981\pi$
$227$	6.42458	+	1.13283i	0.426415	+	0.0751884i	0.0436775	+	0.999046i	$0.486093\pi$
$228$		−	0.543198i		−	0.0359742i
$229$	1.14680	−	6.50380i	0.0757824	−	0.429784i	−0.923185	−	0.384355i	$-0.874424\pi$
$229$	1.14680	−	6.50380i	0.0757824	−	0.429784i	0.998968	−	0.0454281i	$-0.0144652\pi$
$230$	14.4074	−	8.31813i	0.949997	−	0.548481i
$231$	3.31709	−	2.78336i	0.218248	−	0.183132i
$232$	−2.02761	+	3.51193i	−0.133119	+	0.230570i
$233$	11.3047	+	19.5803i	0.740594	+	1.28275i	0.952225	+	0.305396i	$0.0987889\pi$
$233$	11.3047	+	19.5803i	0.740594	+	1.28275i	−0.211632	+	0.977349i	$0.567878\pi$
$234$	−11.1394	−	4.05440i	−0.728204	−	0.265045i
$235$	10.3654	−	12.3530i	0.676161	−	0.805818i
$236$	−4.41688	−	2.55009i	−0.287515	−	0.165997i
$237$	0.872054	−	0.153767i	0.0566460	−	0.00998822i
$238$	0.347550	+	1.97105i	0.0225283	+	0.127764i
$239$	−11.0221	−	13.1357i	−0.712962	−	0.849675i	0.280965	−	0.959718i	$-0.409346\pi$
$239$	−11.0221	−	13.1357i	−0.712962	−	0.849675i	−0.993927	+	0.110043i	$0.964901\pi$
$240$	0.310193	+	0.852247i	0.0200228	+	0.0550123i
$241$	1.94526	+	5.34455i	0.125305	+	0.344273i	0.986444	−	0.164096i	$-0.0524708\pi$
$241$	1.94526	+	5.34455i	0.125305	+	0.344273i	−0.861139	+	0.508369i	$0.830249\pi$
$242$	−16.0403	−	19.1161i	−1.03111	−	1.22883i
$243$	−1.54189	−	8.74449i	−0.0989122	−	0.560959i
$244$	9.58351	−	1.68983i	0.613521	−	0.108180i
$245$	6.05267	+	3.49451i	0.386691	+	0.223256i
$246$	−2.31531	+	2.75928i	−0.147619	+	0.175925i
$247$	6.05089	+	2.20235i	0.385009	+	0.140132i
$248$	1.69998	+	2.94446i	0.107949	+	0.186973i
$249$	1.20095	−	2.08011i	0.0761074	−	0.131822i
$250$	6.36232	−	5.33862i	0.402388	−	0.337644i
$251$	−21.9528	+	12.6745i	−1.38565	+	0.800006i	−0.992821	−	0.119606i	$-0.961837\pi$
$251$	−21.9528	+	12.6745i	−1.38565	+	0.800006i	−0.392829	+	0.919611i	$0.628504\pi$
$252$	−1.03967	+	5.89628i	−0.0654933	+	0.371431i
$253$			38.1990i			2.40155i
$254$	6.28420	+	1.10807i	0.394306	+	0.0695268i
$255$	−0.668734	−	0.561134i	−0.0418777	−	0.0351396i
$256$	−0.939693	+	0.342020i	−0.0587308	+	0.0213763i
$257$	1.76857	−	4.85911i	0.110320	−	0.303103i	−0.872231	−	0.489094i	$-0.837327\pi$
$257$	1.76857	−	4.85911i	0.110320	−	0.303103i	0.982551	+	0.185991i	$0.0595496\pi$
$258$	−1.30907			−0.0814993
$259$	−2.97653	+	12.2929i	−0.184953	+	0.763847i
$260$	−10.7512			−0.666758
$261$	3.99362	−	10.9724i	0.247199	−	0.679173i
$262$	−9.82295	+	3.57526i	−0.606864	+	0.220880i
$263$	7.40923	+	6.21708i	0.456873	+	0.383362i	0.841979	−	0.539511i	$-0.181391\pi$
$263$	7.40923	+	6.21708i	0.456873	+	0.383362i	−0.385106	+	0.922872i	$0.625835\pi$
$264$	−2.05082	−	0.361615i	−0.126219	−	0.0222558i
$265$		−	20.9641i		−	1.28782i
$266$	0.564749	−	3.20285i	0.0346270	−	0.196379i
$267$	−4.89155	+	2.82414i	−0.299358	+	0.172834i
$268$	8.08462	−	6.78380i	0.493847	−	0.414386i
$269$	11.9383	−	20.6777i	0.727889	−	1.26074i	−0.229885	−	0.973218i	$-0.573835\pi$
$269$	11.9383	−	20.6777i	0.727889	−	1.26074i	0.957774	−	0.287523i	$-0.0928316\pi$
$270$	−2.66613	−	4.61787i	−0.162256	−	0.281035i
$271$	−17.2047	−	6.26199i	−1.04511	−	0.380389i	−0.238295	−	0.971193i	$-0.576589\pi$
$271$	−17.2047	−	6.26199i	−1.04511	−	0.380389i	−0.806815	+	0.590804i	$0.798811\pi$
$272$	0.618710	−	0.737350i	0.0375148	−	0.0447084i
$273$	2.57474	+	1.48653i	0.155830	+	0.0899687i
$274$	6.14698	−	1.08388i	0.371353	−	0.0654795i
$275$	−1.89462	−	10.7449i	−0.114250	−	0.647942i
$276$	1.42214	+	1.69485i	0.0856030	+	0.102018i
$277$	−6.06459	−	16.6623i	−0.364386	−	1.00114i	−0.977461	−	0.211117i	$-0.932290\pi$
$277$	−6.06459	−	16.6623i	−0.364386	−	1.00114i	0.613075	−	0.790025i	$-0.289932\pi$
$278$	2.35734	+	6.47674i	0.141384	+	0.388449i
$279$	−6.29278	−	7.49944i	−0.376739	−	0.448980i
$280$	0.942924	+	5.34759i	0.0563505	+	0.319579i
$281$	−15.0167	+	2.64786i	−0.895824	+	0.157958i	−0.602560	−	0.798074i	$-0.705853\pi$
$281$	−15.0167	+	2.64786i	−0.895824	+	0.157958i	−0.293264	+	0.956032i	$0.594741\pi$
$282$	1.85724	+	1.07228i	0.110597	+	0.0638533i
$283$	15.7182	−	18.7322i	0.934350	−	1.11351i	−0.0589858	−	0.998259i	$-0.518787\pi$
$283$	15.7182	−	18.7322i	0.934350	−	1.11351i	0.993336	−	0.115256i	$-0.0367689\pi$
$284$	10.1503	+	3.69442i	0.602311	+	0.219223i
$285$	0.709264	+	1.22848i	0.0420132	+	0.0727689i
$286$	12.3430	−	21.3787i	0.729857	−	1.26415i
$287$	−16.5205	+	13.8623i	−0.975172	+	0.818266i
$288$	2.49362	−	1.43969i	0.146938	−	0.0848347i
$289$	2.79114	−	15.8293i	0.164184	−	0.931136i
$290$		−	10.5900i		−	0.621864i
$291$	−5.57544	−	0.983100i	−0.326838	−	0.0576303i
$292$	−2.72170	−	2.28378i	−0.159276	−	0.133648i
$293$	−11.8143	+	4.30005i	−0.690199	+	0.251212i	−0.663220	−	0.748424i	$-0.730811\pi$
$293$	−11.8143	+	4.30005i	−0.690199	+	0.251212i	−0.0269784	+	0.999636i	$0.508589\pi$
$294$	−0.317899	+	0.873420i	−0.0185402	+	0.0509389i
$295$	13.3188			0.775450
$296$	5.44893	−	2.70354i	0.316713	−	0.157140i
$297$	12.2436			0.710443
$298$	−1.19539	+	3.28430i	−0.0692469	+	0.190254i
$299$	−24.6455	+	8.97022i	−1.42529	+	0.518761i
$300$	−0.484094	−	0.406203i	−0.0279492	−	0.0234521i
$301$	−7.71866	−	1.36101i	−0.444896	−	0.0784472i
$302$			9.40855i			0.541401i
$303$	−0.247409	+	1.40313i	−0.0142133	+	0.0806076i
$304$	−1.35453	+	0.782038i	−0.0776876	+	0.0448530i
$305$	−19.4673	+	16.3350i	−1.11470	+	0.935341i
$306$	−1.38576	+	2.40021i	−0.0792189	+	0.137211i
$307$	−4.70103	−	8.14242i	−0.268302	−	0.464713i	0.700122	−	0.714024i	$-0.253129\pi$
$307$	−4.70103	−	8.14242i	−0.268302	−	0.464713i	−0.968423	+	0.249311i	$0.919796\pi$
$308$	−11.7162	−	4.26436i	−0.667595	−	0.242985i
$309$	2.41082	−	2.87310i	0.137147	−	0.163445i
$310$	−7.68927	−	4.43940i	−0.436721	−	0.252141i
$311$	−15.8568	+	2.79599i	−0.899158	+	0.158546i	−0.604077	−	0.796926i	$-0.706458\pi$
$311$	−15.8568	+	2.79599i	−0.899158	+	0.158546i	−0.295082	+	0.955472i	$0.595347\pi$
$312$	−0.248282	−	1.40808i	−0.0140562	−	0.0797168i
$313$	0.370220	+	0.441211i	0.0209261	+	0.0249387i	0.776406	−	0.630233i	$-0.217041\pi$
$313$	0.370220	+	0.441211i	0.0209261	+	0.0249387i	−0.755480	+	0.655172i	$0.772596\pi$
$314$	0.866920	+	2.38184i	0.0489231	+	0.134415i
$315$	−5.34759	−	14.6924i	−0.301302	−	0.827822i
$316$	−1.63893	−	1.95319i	−0.0921967	−	0.109876i
$317$	2.04083	+	11.5741i	0.114624	+	0.650067i	0.986935	+	0.161116i	$0.0515093\pi$
$317$	2.04083	+	11.5741i	0.114624	+	0.650067i	−0.872311	+	0.488951i	$0.837380\pi$
$318$	2.74567	−	0.484136i	0.153970	−	0.0271490i
$319$	21.0582	+	12.1580i	1.17903	+	0.680715i
$320$	1.67860	−	2.00048i	0.0938365	−	0.111830i
$321$	6.62675	+	2.41194i	0.369869	+	0.134621i
$322$	6.62328	+	11.4719i	0.369101	+	0.639302i
$323$	0.752745	−	1.30379i	0.0418838	−	0.0725449i
$324$	−6.07398	+	5.09667i	−0.337443	+	0.283148i
$325$	6.48757	−	3.74560i	0.359865	−	0.207768i
$326$	1.62847	−	9.23549i	0.0901924	−	0.511506i
$327$		−	2.16359i		−	0.119647i
$328$	10.2139	+	1.80099i	0.563970	+	0.0994430i
$329$	9.83600	+	8.25338i	0.542276	+	0.455024i
$330$	5.11023	−	1.85997i	0.281309	−	0.102388i
$331$	4.83530	−	13.2849i	0.265772	−	0.730202i	−0.732980	−	0.680250i	$-0.761871\pi$
$331$	4.83530	−	13.2849i	0.265772	−	0.730202i	0.998752	−	0.0499518i	$-0.0159068\pi$
$332$	−6.91602			−0.379566
$333$	−14.0994	+	10.3907i	−0.772645	+	0.569409i
$334$	10.4225			0.570292
$335$	−9.42620	+	25.8983i	−0.515008	+	1.41497i
$336$	−0.678599	+	0.246990i	−0.0370206	+	0.0134744i
$337$	8.21240	+	6.89102i	0.447358	+	0.375378i	0.838454	−	0.544972i	$-0.183460\pi$
$337$	8.21240	+	6.89102i	0.447358	+	0.375378i	−0.391096	+	0.920350i	$0.627904\pi$
$338$	3.88928	+	0.685785i	0.211549	+	0.0373018i
$339$		−	2.12961i		−	0.115665i
$340$	−0.436485	+	2.47543i	−0.0236717	+	0.134249i
$341$	17.6555	−	10.1934i	0.956101	−	0.552005i
$342$	3.44994	−	2.89485i	0.186552	−	0.156535i
$343$	−10.0602	+	17.4248i	−0.543200	+	0.940850i
$344$	1.88466	+	3.26433i	0.101614	+	0.176001i
$345$	−5.42927	−	1.97609i	−0.292302	−	0.106389i
$346$	1.88324	−	2.24436i	0.101244	−	0.120658i
$347$	−6.10989	−	3.52754i	−0.327996	−	0.189368i	0.326955	−	0.945040i	$-0.393977\pi$
$347$	−6.10989	−	3.52754i	−0.327996	−	0.189368i	−0.654951	+	0.755671i	$0.727311\pi$
$348$	1.38697	−	0.244560i	0.0743494	−	0.0131098i
$349$	4.45331	+	25.2560i	0.238380	+	1.35192i	0.835376	+	0.549679i	$0.185250\pi$
$349$	4.45331	+	25.2560i	0.238380	+	1.35192i	−0.596996	+	0.802244i	$0.703639\pi$
$350$	−2.43204	−	2.89839i	−0.129998	−	0.154925i
$351$	2.87514	+	7.89939i	0.153464	+	0.421638i
$352$	2.05082	+	5.63458i	0.109309	+	0.300324i
$353$	4.22017	+	5.02940i	0.224617	+	0.267688i	0.866570	−	0.499056i	$-0.166320\pi$
$353$	4.22017	+	5.02940i	0.224617	+	0.267688i	−0.641953	+	0.766744i	$0.721875\pi$
$354$	0.307578	+	1.74436i	0.0163476	+	0.0927119i
$355$	−27.7795	+	4.89828i	−1.47438	+	0.259974i
$356$	14.0847	+	8.13178i	0.746485	+	0.430983i
$357$	0.446801	−	0.532477i	0.0236472	−	0.0281817i
$358$	−8.23831	−	2.99850i	−0.435408	−	0.158476i
$359$	−9.92813	−	17.1960i	−0.523987	−	0.907572i	−0.999610	−	0.0279226i	$-0.991111\pi$
$359$	−9.92813	−	17.1960i	−0.523987	−	0.907572i	0.475623	−	0.879649i	$-0.342223\pi$
$360$	−3.75967	+	6.51193i	−0.198152	+	0.343209i
$361$	12.6808	−	10.6405i	0.667413	−	0.560026i
$362$	23.1716	−	13.3781i	1.21787	−	0.703138i
$363$	−1.50493	+	8.53487i	−0.0789883	+	0.447965i
$364$		−	8.56057i		−	0.448696i
$365$	9.13730	+	1.61115i	0.478268	+	0.0843315i
$366$	−2.58897	−	2.17240i	−0.135328	−	0.113553i
$367$	20.2967	−	7.38739i	1.05948	−	0.385619i	0.247246	−	0.968953i	$-0.420474\pi$
$367$	20.2967	−	7.38739i	1.05948	−	0.385619i	0.812233	+	0.583334i	$0.198252\pi$
$368$	2.17885	−	5.98635i	0.113581	−	0.312060i
$369$	−29.8635			−1.55463
$370$	−8.79308	+	13.2290i	−0.457130	+	0.687744i
$371$	16.6926			0.866637
$372$	0.403856	−	1.10959i	0.0209390	−	0.0575294i
$373$	29.3944	−	10.6987i	1.52198	−	0.553956i	0.560340	−	0.828263i	$-0.310670\pi$
$373$	29.3944	−	10.6987i	1.52198	−	0.553956i	0.961642	+	0.274306i	$0.0884482\pi$
$374$	−4.42129	−	3.70990i	−0.228619	−	0.191835i
$375$	−2.84062	−	0.500878i	−0.146689	−	0.0258652i
$376$		−	6.17501i		−	0.318452i
$377$	−2.89909	+	16.4415i	−0.149311	+	0.846782i
$378$	3.67697	−	2.12290i	0.189123	−	0.109190i
$379$	−15.3668	+	12.8943i	−0.789339	+	0.662334i	−0.945582	−	0.325384i	$-0.894506\pi$
$379$	−15.3668	+	12.8943i	−0.789339	+	0.662334i	0.156243	+	0.987719i	$0.450062\pi$
$380$	2.04224	−	3.53727i	0.104765	−	0.181458i
$381$	−1.10807	−	1.91924i	−0.0567684	−	0.0983257i
$382$	1.70796	+	0.621648i	0.0873871	+	0.0318063i
$383$	10.6054	−	12.6391i	0.541913	−	0.645826i	−0.423703	−	0.905801i	$-0.639270\pi$
$383$	10.6054	−	12.6391i	0.541913	−	0.645826i	0.965615	+	0.259975i	$0.0837143\pi$
$384$	0.300767	+	0.173648i	0.0153485	+	0.00886145i
$385$	32.0652	−	5.65395i	1.63419	−	0.288152i
$386$	0.184945	+	1.04887i	0.00941343	+	0.0533862i
$387$	−6.97639	−	8.31414i	−0.354630	−	0.422631i
$388$	5.57544	+	15.3184i	0.283050	+	0.777673i
$389$	0.282656	+	0.776592i	0.0143312	+	0.0393748i	0.946652	−	0.322258i	$-0.104442\pi$
$389$	0.282656	+	0.776592i	0.0143312	+	0.0393748i	−0.932321	+	0.361632i	$0.882220\pi$
$390$	2.40006	+	2.86028i	0.121532	+	0.144836i
$391$	1.06479	+	6.03875i	0.0538490	+	0.305393i
$392$	2.63566	−	0.464737i	0.133121	−	0.0234728i
$393$	3.14403	+	1.81521i	0.158595	+	0.0915651i
$394$	−10.1282	+	12.0703i	−0.510251	+	0.608093i
$395$	6.25687	+	2.27731i	0.314817	+	0.114584i
$396$	−8.63267	−	14.9522i	−0.433808	−	0.751378i
$397$	−4.52451	+	7.83669i	−0.227079	+	0.393312i	−0.956941	−	0.290282i	$-0.906251\pi$
$397$	−4.52451	+	7.83669i	−0.227079	+	0.393312i	0.729862	+	0.683594i	$0.239584\pi$
$398$	−15.8089	+	13.2653i	−0.792429	+	0.664927i
$399$	−0.978174	+	0.564749i	−0.0489699	+	0.0282728i
$400$	−0.315970	+	1.79195i	−0.0157985	+	0.0895977i
$401$		−	13.1254i		−	0.655452i	−0.944773	−	0.327726i	$-0.893718\pi$
$401$		−	13.1254i		−	0.655452i	0.944773	−	0.327726i	$-0.106282\pi$
$402$	−3.60958	−	0.636467i	−0.180030	−	0.0317441i
$403$	10.7227	+	8.99742i	0.534136	+	0.448194i
$404$	3.85506	−	1.40313i	0.191797	−	0.0698083i
$405$	7.08191	−	19.4574i	0.351903	−	0.966845i
$406$	8.43223			0.418484
$407$	−16.2110	−	32.6728i	−0.803547	−	1.61953i
$408$	−0.334287			−0.0165497
$409$	2.70223	−	7.42432i	0.133617	−	0.367109i	−0.854783	−	0.518986i	$-0.826310\pi$
$409$	2.70223	−	7.42432i	0.133617	−	0.367109i	0.988399	+	0.151877i	$0.0485318\pi$
$410$	−25.4511	+	9.26344i	−1.25694	+	0.457489i
$411$	−1.66060	−	1.39341i	−0.0819113	−	0.0687318i
$412$	−10.6353	−	1.87529i	−0.523962	−	0.0923887i
$413$			10.6050i			0.521840i
$414$	−3.18527	+	18.0646i	−0.156547	+	0.887824i
$415$	15.6411	−	9.03037i	0.767789	−	0.443283i
$416$	−3.15377	+	2.64632i	−0.154626	+	0.129747i
$417$	1.19685	−	2.07301i	0.0586102	−	0.101516i
$418$	4.68925	+	8.12202i	0.229359	+	0.397261i
$419$	30.0521	+	10.9381i	1.46814	+	0.534361i	0.947596	−	0.319472i	$-0.103506\pi$
$419$	30.0521	+	10.9381i	1.46814	+	0.534361i	0.520548	+	0.853832i	$0.325728\pi$
$420$	1.21220	−	1.44464i	0.0591493	−	0.0704914i
$421$	−4.86073	−	2.80634i	−0.236897	−	0.136773i	0.376853	−	0.926273i	$-0.377006\pi$
$421$	−4.86073	−	2.80634i	−0.236897	−	0.136773i	−0.613750	+	0.789501i	$0.710340\pi$
$422$	6.10718	−	1.07686i	0.297293	−	0.0524208i
$423$	3.08750	+	17.5101i	0.150120	+	0.851370i
$424$	−5.16018	−	6.14966i	−0.250600	−	0.298654i
$425$	−0.599028	−	1.64581i	−0.0290571	−	0.0798337i
$426$	−1.28306	−	3.52517i	−0.0621643	−	0.170795i
$427$	−13.0067	−	15.5008i	−0.629439	−	0.750136i
$428$	−3.52602	−	19.9970i	−0.170437	−	0.966594i
$429$	−8.44311	+	1.48875i	−0.407637	+	0.0718775i
$430$	−8.52459	−	4.92167i	−0.411092	−	0.237344i
$431$	−12.8250	+	15.2842i	−0.617757	+	0.736214i	−0.980683	−	0.195604i	$-0.937333\pi$
$431$	−12.8250	+	15.2842i	−0.617757	+	0.736214i	0.362926	+	0.931818i	$0.381778\pi$
$432$	−1.91875	−	0.698367i	−0.0923158	−	0.0336002i
$433$	7.91046	+	13.7013i	0.380152	+	0.658443i	0.991084	−	0.133240i	$-0.0425382\pi$
$433$	7.91046	+	13.7013i	0.380152	+	0.658443i	−0.610931	+	0.791684i	$0.709205\pi$
$434$	3.53486	−	6.12255i	0.169679	−	0.293892i
$435$	−2.81740	+	2.36408i	−0.135084	+	0.113349i
$436$	−5.39518	+	3.11491i	−0.258382	+	0.149177i
$437$	1.73023	−	9.81263i	0.0827682	−	0.469402i
$438$			1.23392i			0.0589590i
$439$	3.01674	+	0.531932i	0.143981	+	0.0253878i	0.245174	−	0.969479i	$-0.421155\pi$
$439$	3.01674	+	0.531932i	0.143981	+	0.0253878i	−0.101193	+	0.994867i	$0.532266\pi$
$440$	−11.9952	−	10.0652i	−0.571850	−	0.479839i
$441$	−7.24141	+	2.63566i	−0.344829	+	0.125507i
$442$	1.35534	−	3.72375i	0.0644668	−	0.177121i
$443$	−2.75923			−0.131095			−0.0655475	−	0.997849i	$-0.520879\pi$
$443$	−2.75923			−0.131095			−0.0655475	+	0.997849i	$0.520879\pi$
$444$	−1.93567	−	0.846125i	−0.0918628	−	0.0401553i
$445$	−42.4712			−2.01333
$446$	−0.287006	+	0.788543i	−0.0135901	+	0.0373386i
$447$	1.14062	−	0.415153i	0.0539497	−	0.0196361i
$448$	1.59287	+	1.33658i	0.0752561	+	0.0631474i
$449$	−22.3120	−	3.93421i	−1.05297	−	0.185667i	−0.379735	−	0.925095i	$-0.623985\pi$
$449$	−22.3120	−	3.93421i	−1.05297	−	0.185667i	−0.673235	+	0.739428i	$0.735096\pi$
$450$		−	5.23932i		−	0.246984i
$451$	10.7991	−	61.2446i	0.508509	−	2.88390i
$452$	−5.31045	+	3.06599i	−0.249782	+	0.144212i
$453$	2.50309	−	2.10034i	0.117606	−	0.0986828i
$454$	−3.26185	+	5.64968i	−0.153086	+	0.265153i
$455$	11.1777	+	19.3603i	0.524018	+	0.907626i
$456$	0.510439	+	0.185785i	0.0239035	+	0.00870017i
$457$	−18.9638	+	22.6002i	−0.887089	+	1.05719i	0.110902	+	0.993831i	$0.464626\pi$
$457$	−18.9638	+	22.6002i	−0.887089	+	1.05719i	−0.997991	+	0.0633601i	$0.979818\pi$
$458$	5.71935	+	3.30207i	0.267248	+	0.154296i
$459$	1.93554	−	0.341289i	0.0903435	−	0.0159300i
$460$	2.88885	+	16.3835i	0.134694	+	0.763885i
$461$	2.61917	+	3.12141i	0.121987	+	0.145378i	0.823581	−	0.567198i	$-0.191973\pi$
$461$	2.61917	+	3.12141i	0.121987	+	0.145378i	−0.701594	+	0.712576i	$0.747528\pi$
$462$	1.48100	+	4.06901i	0.0689022	+	0.189307i
$463$	−1.00637	−	2.76497i	−0.0467699	−	0.128499i	0.914109	−	0.405469i	$-0.132892\pi$
$463$	−1.00637	−	2.76497i	−0.0467699	−	0.128499i	−0.960879	+	0.276970i	$0.910670\pi$
$464$	−2.60665	−	3.10649i	−0.121011	−	0.144215i
$465$	0.535457	+	3.03673i	0.0248312	+	0.140825i
$466$	−22.2659	+	3.92607i	−1.03145	+	0.181872i
$467$	4.59204	+	2.65121i	0.212494	+	0.122684i	0.602470	−	0.798142i	$-0.294183\pi$
$467$	4.59204	+	2.65121i	0.212494	+	0.122684i	−0.389976	+	0.920825i	$0.627517\pi$
$468$	7.61979	−	9.08091i	0.352225	−	0.419765i
$469$	−20.6214	−	7.50558i	−0.952208	−	0.346575i
$470$	8.06282	+	13.9652i	0.371910	+	0.644167i
$471$	0.440147	−	0.762356i	0.0202809	−	0.0351275i
$472$	3.90696	−	3.27833i	0.179833	−	0.150897i
$473$	19.5735	−	11.3008i	0.899992	−	0.519611i
$474$	−0.153767	+	0.872054i	−0.00706273	+	0.0400548i
$475$			2.84599i			0.130583i
$476$	−1.97105	−	0.347550i	−0.0903430	−	0.0159299i
$477$	17.7072	+	14.8581i	0.810759	+	0.680308i
$478$	16.1133	−	5.86475i	0.737004	−	0.268248i
$479$	−6.11079	+	16.7893i	−0.279209	+	0.767121i	0.718244	+	0.695792i	$0.244946\pi$
$479$	−6.11079	+	16.7893i	−0.279209	+	0.767121i	−0.997453	+	0.0713293i	$0.977276\pi$
$480$	−0.906942			−0.0413961
$481$	17.2733	−	18.1316i	0.787595	−	0.826731i
$482$	−5.68755			−0.259061
$483$	1.57346	−	4.32304i	0.0715948	−	0.196705i
$484$	23.4494	−	8.53487i	1.06588	−	0.387949i
$485$	−32.6107	−	27.3637i	−1.48078	−	1.24252i
$486$	8.74449	+	1.54189i	0.396658	+	0.0699415i
$487$		−	31.2962i		−	1.41817i	−0.705124	−	0.709084i	$-0.749109\pi$
$487$		−	31.2962i		−	1.41817i	0.705124	−	0.709084i	$-0.250891\pi$
$488$	−1.68983	+	9.58351i	−0.0764951	+	0.433825i
$489$	−2.82059	+	1.62847i	−0.127551	+	0.0736418i
$490$	−5.35390	+	4.49246i	−0.241865	+	0.202949i
$491$	6.72900	−	11.6550i	0.303676	−	0.525982i	−0.673290	−	0.739379i	$-0.735119\pi$
$491$	6.72900	−	11.6550i	0.303676	−	0.525982i	0.976966	+	0.213397i	$0.0684527\pi$
$492$	−1.80099	−	3.11941i	−0.0811949	−	0.140634i
$493$	3.66793	+	1.33502i	0.165195	+	0.0601261i
$494$	−4.13905	+	4.93273i	−0.186225	+	0.221934i
$495$	39.0468	+	22.5437i	1.75502	+	1.01326i
$496$	−3.34832	+	0.590399i	−0.150344	+	0.0265097i
$497$	−3.90024	−	22.1194i	−0.174950	−	0.992189i
$498$	1.54392	+	1.83997i	0.0691846	+	0.0824510i
$499$	12.5759	+	34.5520i	0.562974	+	1.54676i	0.815253	+	0.579104i	$0.196598\pi$
$499$	12.5759	+	34.5520i	0.562974	+	1.54676i	−0.252279	+	0.967654i	$0.581180\pi$
$500$	2.84062	+	7.80454i	0.127036	+	0.349030i
$501$	−2.32669	−	2.77284i	−0.103949	−	0.123881i
$502$	−4.40180	−	24.9638i	−0.196462	−	1.11419i
$503$	6.15105	−	1.08460i	0.274262	−	0.0483597i	−0.0348257	−	0.999393i	$-0.511088\pi$
$503$	6.15105	−	1.08460i	0.274262	−	0.0483597i	0.309087	+	0.951034i	$0.399976\pi$
$504$	−5.18510	−	2.99362i	−0.230963	−	0.133346i
$505$	−6.88641	+	8.20690i	−0.306441	+	0.365202i
$506$	−35.8953	−	13.0648i	−1.59574	−	0.580802i
$507$	−0.685785	−	1.18781i	−0.0304568	−	0.0527527i
$508$	−3.19057	+	5.52624i	−0.141559	+	0.245187i
$509$	−6.29668	+	5.28355i	−0.279096	+	0.234189i	−0.771580	−	0.636132i	$-0.780533\pi$
$509$	−6.29668	+	5.28355i	−0.279096	+	0.234189i	0.492484	+	0.870321i	$0.336089\pi$
$510$	0.756014	−	0.436485i	0.0334769	−	0.0193279i
$511$	−1.28287	+	7.27554i	−0.0567510	+	0.321851i
$512$		−	1.00000i		−	0.0441942i
$513$	−3.14515	−	0.554575i	−0.138862	−	0.0244851i
$514$	3.96118	+	3.32383i	0.174720	+	0.146608i
$515$	26.5010	−	9.64558i	1.16777	−	0.425035i
$516$	0.447729	−	1.23013i	0.0197102	−	0.0541533i
$517$	−37.0265			−1.62842
$518$	−10.5336	−	7.00146i	−0.462818	−	0.307626i
$519$	−1.01751			−0.0446638
$520$	3.67711	−	10.1028i	0.161252	−	0.443036i
$521$	−20.8518	+	7.58945i	−0.913536	+	0.332500i	−0.755664	−	0.654960i	$-0.772686\pi$
$521$	−20.8518	+	7.58945i	−0.913536	+	0.332500i	−0.157872	+	0.987460i	$0.550463\pi$
$522$	8.94477	+	7.50555i	0.391502	+	0.328509i
$523$	−13.7427	−	2.42321i	−0.600927	−	0.105960i	−0.135095	−	0.990833i	$-0.543134\pi$
$523$	−13.7427	−	2.42321i	−0.600927	−	0.105960i	−0.465832	+	0.884873i	$0.654245\pi$
$524$		−	10.4534i		−	0.456657i
$525$	−0.228178	+	1.29406i	−0.00995849	+	0.0564774i
$526$	−8.37625	+	4.83603i	−0.365222	+	0.210861i
$527$	2.50697	−	2.10360i	0.109205	−	0.0916340i
$528$	1.04123	−	1.80346i	0.0453136	−	0.0784855i
$529$	8.79187	+	15.2280i	0.382255	+	0.662086i
$530$	19.6998	+	7.17015i	0.855706	+	0.311451i
$531$	−9.43958	+	11.2496i	−0.409643	+	0.488193i
$532$	2.81654	+	1.62613i	0.122112	+	0.0705016i
$533$	42.0502	−	7.41459i	1.82140	−	0.321161i
$534$	−0.980812	−	5.56246i	−0.0424439	−	0.240711i
$535$	34.0848	+	40.6207i	1.47362	+	1.75619i
$536$	3.60958	+	9.91725i	0.155910	+	0.428360i
$537$	1.04137	+	2.86114i	0.0449384	+	0.123467i
$538$	15.3475	+	18.2905i	0.661679	+	0.788559i
$539$	−2.78665	−	15.8039i	−0.120030	−	0.680722i
$540$	5.25125	−	0.925938i	0.225978	−	0.0398460i
$541$	20.9379	+	12.0885i	0.900192	+	0.519726i	0.877262	−	0.480011i	$-0.159367\pi$
$541$	20.9379	+	12.0885i	0.900192	+	0.519726i	0.0229292	+	0.999737i	$0.492701\pi$
$542$	11.7687	−	14.0254i	0.505509	−	0.602442i
$543$	−8.73195	−	3.17817i	−0.374724	−	0.136388i
$544$	0.481271	+	0.833586i	0.0206343	+	0.0357397i
$545$	8.13439	−	14.0892i	0.348439	−	0.603514i
$546$	−2.27749	+	1.91104i	−0.0974676	+	0.0817851i
$547$	−32.2382	+	18.6127i	−1.37840	+	0.795822i	−0.991967	−	0.126494i	$-0.959628\pi$
$547$	−32.2382	+	18.6127i	−1.37840	+	0.795822i	−0.386437	+	0.922316i	$0.626294\pi$
$548$	−1.08388	+	6.14698i	−0.0463010	+	0.262586i
$549$		−	28.0203i		−	1.19588i
$550$	10.7449	+	1.89462i	0.458164	+	0.0807867i
$551$	−4.85878	−	4.07700i	−0.206991	−	0.173686i
$552$	−2.07904	+	0.756707i	−0.0884897	+	0.0322076i
$553$	−1.81330	+	4.98201i	−0.0771095	+	0.211857i
$554$	17.7317			0.753347
$555$	5.48245	−	0.613867i	0.232717	−	0.0260572i
$556$	−6.89241			−0.292303
$557$	0.974054	−	2.67619i	0.0412720	−	0.113394i	−0.917345	−	0.398094i	$-0.869672\pi$
$557$	0.974054	−	2.67619i	0.0412720	−	0.113394i	0.958617	+	0.284700i	$0.0918940\pi$
$558$	9.19942	−	3.34832i	0.389443	−	0.141746i
$559$	11.8876	+	9.97485i	0.502790	+	0.421891i
$560$	−5.34759	−	0.942924i	−0.225977	−	0.0398458i
$561$			2.00445i			0.0846280i
$562$	2.64786	−	15.0167i	0.111693	−	0.633443i
$563$	−21.5088	+	12.4181i	−0.906489	+	0.523362i	−0.879300	−	0.476268i	$-0.841989\pi$
$563$	−21.5088	+	12.4181i	−0.906489	+	0.523362i	−0.0271895	+	0.999630i	$0.508656\pi$
$564$	−1.64283	+	1.37849i	−0.0691755	+	0.0580451i
$565$	8.00663	−	13.8679i	0.336841	−	0.583427i
$566$	12.2266	+	21.1771i	0.513922	+	0.890139i
$567$	15.4929	+	5.63895i	0.650640	+	0.236813i
$568$	−6.94323	+	8.27462i	−0.291332	+	0.347195i
$569$	−8.80519	−	5.08368i	−0.369133	−	0.213119i	0.303947	−	0.952689i	$-0.401696\pi$
$569$	−8.80519	−	5.08368i	−0.369133	−	0.213119i	−0.673080	+	0.739570i	$0.735029\pi$
$570$	−1.39698	+	0.246325i	−0.0585129	+	0.0103174i
$571$	3.25922	+	18.4839i	0.136394	+	0.773528i	0.973879	+	0.227068i	$0.0729140\pi$
$571$	3.25922	+	18.4839i	0.136394	+	0.773528i	−0.837485	+	0.546460i	$0.815975\pi$
$572$	15.8679	+	18.9106i	0.663469	+	0.790691i
$573$	−0.215896	−	0.593170i	−0.00901919	−	0.0247800i
$574$	−7.37598	−	20.2653i	−0.307868	−	0.845859i
$575$	−7.45108	−	8.87985i	−0.310731	−	0.370315i
$576$	0.500000	+	2.83564i	0.0208333	+	0.118152i
$577$	−18.5265	+	3.26672i	−0.771267	+	0.135995i	−0.545415	−	0.838166i	$-0.683628\pi$
$577$	−18.5265	+	3.26672i	−0.771267	+	0.135995i	−0.225852	+	0.974162i	$0.572517\pi$
$578$	13.9201	+	8.03676i	0.578999	+	0.334285i
$579$	0.237760	−	0.283351i	0.00988097	−	0.0117757i
$580$	9.95132	+	3.62198i	0.413206	+	0.150395i
$581$	7.19040	+	12.4541i	0.298308	+	0.516685i
$582$	2.83072	−	4.90296i	0.117337	−	0.203234i
$583$	−36.8745	+	30.9414i	−1.52719	+	1.28146i
$584$	3.07693	−	1.77647i	0.127324	−	0.0735107i
$585$	−5.37558	+	30.4864i	−0.222253	+	1.26046i
$586$		−	12.5725i		−	0.519366i
$587$	30.2531	+	5.33444i	1.24868	+	0.220176i	0.758632	−	0.651520i	$-0.225868\pi$
$587$	30.2531	+	5.33444i	1.24868	+	0.220176i	0.490048	+	0.871696i	$0.336979\pi$
$588$	−0.712019	−	0.597455i	−0.0293632	−	0.0246386i
$589$	−4.99711	+	1.81880i	−0.205902	+	0.0749423i
$590$	−4.55529	+	12.5156i	−0.187538	+	0.515258i
$591$	5.47223			0.225097
$592$	0.676854	+	6.04499i	0.0278185	+	0.248447i
$593$	6.18887			0.254147			0.127073	−	0.991893i	$-0.459442\pi$
$593$	6.18887			0.254147			0.127073	+	0.991893i	$0.459442\pi$
$594$	−4.18754	+	11.5052i	−0.171817	+	0.472063i
$595$	4.91147	−	1.78763i	0.201351	−	0.0732857i
$596$	−2.67738	−	2.24659i	−0.109670	−	0.0920240i
$597$	7.05829	+	1.24457i	0.288877	+	0.0509368i
$598$		−	26.2272i		−	1.07251i
$599$	−0.183355	+	1.03986i	−0.00749169	+	0.0424875i	−0.988324	−	0.152364i	$-0.951311\pi$
$599$	−0.183355	+	1.03986i	−0.00749169	+	0.0424875i	0.980833	+	0.194852i	$0.0624225\pi$
$600$	0.547276	−	0.315970i	0.0223424	−	0.0128994i
$601$	−11.9378	+	10.0170i	−0.486954	+	0.408603i	−0.852933	−	0.522020i	$-0.825179\pi$
$601$	−11.9378	+	10.0170i	−0.486954	+	0.408603i	0.365979	+	0.930623i	$0.380734\pi$
$602$	3.91887	−	6.78767i	0.159721	−	0.276645i
$603$	−15.1941	−	26.3170i	−0.618752	−	1.07171i
$604$	−8.84115	−	3.21791i	−0.359741	−	0.130935i
$605$	−41.8883	+	49.9205i	−1.70300	+	2.02956i
$606$	−1.23389	−	0.712387i	−0.0501234	−	0.0289387i
$607$	−31.7497	+	5.59834i	−1.28868	+	0.227229i	−0.775663	−	0.631147i	$-0.782584\pi$
$607$	−31.7497	+	5.59834i	−1.28868	+	0.227229i	−0.513020	+	0.858377i	$0.671473\pi$
$608$	−0.271599	−	1.54031i	−0.0110148	−	0.0624680i
$609$	−1.88239	−	2.24335i	−0.0762784	−	0.0909050i
$610$	−8.69169	−	23.8802i	−0.351916	−	0.966882i
$611$	−8.69490	−	23.8890i	−0.351758	−	0.966447i
$612$	−1.78150	−	2.12311i	−0.0720130	−	0.0858218i
$613$	−0.968237	−	5.49114i	−0.0391067	−	0.221785i	0.958991	−	0.283436i	$-0.0914745\pi$
$613$	−0.968237	−	5.49114i	−0.0391067	−	0.221785i	−0.998098	+	0.0616512i	$0.980363\pi$
$614$	9.25922	−	1.63265i	0.373672	−	0.0658884i
$615$	8.14613	+	4.70317i	0.328484	+	0.189650i
$616$	8.01438	−	9.55117i	0.322909	−	0.384827i
$617$	−3.80891	−	1.38633i	−0.153341	−	0.0558116i	0.264209	−	0.964465i	$-0.414889\pi$
$617$	−3.80891	−	1.38633i	−0.153341	−	0.0558116i	−0.417550	+	0.908654i	$0.637111\pi$
$618$	1.87529	+	3.24809i	0.0754351	+	0.130657i
$619$	3.68705	−	6.38616i	0.148195	−	0.256681i	−0.782365	−	0.622820i	$-0.785987\pi$
$619$	3.68705	−	6.38616i	0.148195	−	0.256681i	0.930560	+	0.366138i	$0.119320\pi$
$620$	6.80156	−	5.70718i	0.273157	−	0.229206i
$621$	11.2652	−	6.50397i	0.452057	−	0.260995i
$622$	2.79599	−	15.8568i	0.112109	−	0.635801i
$623$		−	33.8176i		−	1.35487i
$624$	1.40808	+	0.248282i	0.0563683	+	0.00993925i
$625$	−23.5843	−	19.7895i	−0.943370	−	0.791581i
$626$	−0.541225	+	0.196990i	−0.0216317	+	0.00787330i
$627$	1.11400	−	3.06069i	0.0444889	−	0.122232i
$628$	−2.53470			−0.101146
$629$	−3.47349	−	4.71327i	−0.138497	−	0.187930i
$630$	15.6353			0.622925
$631$	2.86348	−	7.86734i	0.113993	−	0.313194i	−0.869556	−	0.493834i	$-0.835595\pi$
$631$	2.86348	−	7.86734i	0.113993	−	0.313194i	0.983549	+	0.180641i	$0.0578171\pi$
$632$	2.39595	−	0.872054i	0.0953057	−	0.0346884i
$633$	−1.64985	−	1.38439i	−0.0655755	−	0.0550244i
$634$	−11.5741	−	2.04083i	−0.459667	−	0.0810517i
$635$		−	16.6640i		−	0.661289i
$636$	−0.484136	+	2.74567i	−0.0191973	+	0.108873i
$637$	9.54209	−	5.50913i	0.378071	−	0.218280i
$638$	−18.6271	+	15.6300i	−0.737453	+	0.618797i
$639$	15.5512	−	26.9355i	0.615196	−	1.06555i
$640$	1.30572	+	2.26157i	0.0516130	+	0.0893964i
$641$	11.1583	+	4.06129i	0.440726	+	0.160411i	0.552846	−	0.833283i	$-0.313542\pi$
$641$	11.1583	+	4.06129i	0.440726	+	0.160411i	−0.112120	+	0.993695i	$0.535764\pi$
$642$	−4.53296	+	5.40217i	−0.178902	+	0.213207i
$643$	−33.5232	−	19.3547i	−1.32203	−	0.763273i	−0.337976	−	0.941155i	$-0.609742\pi$
$643$	−33.5232	−	19.3547i	−1.32203	−	0.763273i	−0.984052	+	0.177882i	$0.943076\pi$
$644$	−13.0453	+	2.30024i	−0.514057	+	0.0906422i
$645$	0.593626	+	3.36662i	0.0233740	+	0.132561i
$646$	0.967710	+	1.15327i	0.0380740	+	0.0453749i
$647$	6.03672	+	16.5857i	0.237328	+	0.652053i	0.999986	+	0.00525130i	$0.00167155\pi$
$647$	6.03672	+	16.5857i	0.237328	+	0.652053i	−0.762658	+	0.646801i	$0.776106\pi$
$648$	−2.71188	−	7.45084i	−0.106533	−	0.292697i
$649$	−19.6575	−	23.4269i	−0.771624	−	0.919586i
$650$	1.30083	+	7.37739i	0.0510228	+	0.289365i
$651$	−2.41799	+	0.426356i	−0.0947683	+	0.0167102i
$652$	8.12155	+	4.68898i	0.318065	+	0.183635i
$653$	9.49773	−	11.3189i	0.371675	−	0.442945i	−0.547493	−	0.836810i	$-0.684418\pi$
$653$	9.49773	−	11.3189i	0.371675	−	0.442945i	0.919168	+	0.393865i	$0.128862\pi$
$654$	2.03311	+	0.739992i	0.0795010	+	0.0289360i
$655$	13.6491	+	23.6410i	0.533316	+	0.923731i
$656$	−5.18574	+	8.98197i	−0.202469	+	0.350687i
$657$	−7.83683	+	6.57588i	−0.305744	+	0.256550i
$658$	−11.1198	+	6.41999i	−0.433493	+	0.250277i
$659$	1.14933	−	6.51815i	0.0447714	−	0.253911i	−0.954205	−	0.299155i	$-0.903295\pi$
$659$	1.14933	−	6.51815i	0.0447714	−	0.253911i	0.998976	+	0.0452437i	$0.0144064\pi$
$660$			5.43820i			0.211682i
$661$	6.22992	+	1.09850i	0.242316	+	0.0427268i	0.293487	−	0.955963i	$-0.405184\pi$
$661$	6.22992	+	1.09850i	0.242316	+	0.0427268i	−0.0511712	+	0.998690i	$0.516295\pi$
$662$	10.8299	+	9.08738i	0.420917	+	0.353191i
$663$	−1.29325	+	0.470703i	−0.0502255	+	0.0182806i
$664$	2.36542	−	6.49893i	0.0917960	−	0.252207i
$665$	−8.49307			−0.329347
$666$	−4.94181	−	16.8030i	−0.191491	−	0.651102i
$667$	25.8340			1.00030
$668$	−3.56469	+	9.79392i	−0.137922	+	0.378938i
$669$	0.273858	−	0.0996762i	0.0105880	−	0.00385370i
$670$	−21.1125	−	17.7155i	−0.815645	−	0.684408i
$671$	57.4645	+	10.1325i	2.21839	+	0.391163i
$672$		−	0.722150i		−	0.0278575i
$673$	4.26450	−	24.1852i	0.164384	−	0.932269i	−0.785313	−	0.619099i	$-0.787498\pi$
$673$	4.26450	−	24.1852i	0.164384	−	0.932269i	0.949697	−	0.313170i	$-0.101391\pi$
$674$	−9.28425	+	5.36027i	−0.357616	+	0.206470i
$675$	−2.84618	+	2.38822i	−0.109549	+	0.0919228i
$676$	−1.97464	+	3.42017i	−0.0759476	+	0.131545i
$677$	11.2322	+	19.4547i	0.431687	+	0.747704i	0.997019	−	0.0771600i	$-0.0245852\pi$
$677$	11.2322	+	19.4547i	0.431687	+	0.747704i	−0.565332	+	0.824864i	$0.691252\pi$
$678$	2.00118	+	0.728370i	0.0768549	+	0.0279729i
$679$	21.7882	−	25.9662i	0.836155	−	0.996491i
$680$	−2.17686	−	1.25681i	−0.0834786	−	0.0481964i
$681$	2.23123	−	0.393427i	0.0855011	−	0.0150762i
$682$	3.54014	+	20.0771i	0.135559	+	0.768794i
$683$	21.2410	+	25.3140i	0.812764	+	0.968614i	0.999906	−	0.0137189i	$-0.00436698\pi$
$683$	21.2410	+	25.3140i	0.812764	+	0.968614i	−0.187142	+	0.982333i	$0.559923\pi$
$684$	1.54031	+	4.23198i	0.0588954	+	0.161814i
$685$	−5.57496	−	15.3171i	−0.213008	−	0.585235i
$686$	−12.9332	−	15.4131i	−0.493790	−	0.588476i
$687$	−0.398278	−	2.25875i	−0.0151953	−	0.0861766i
$688$	−3.71206	+	0.654536i	−0.141521	+	0.0249540i
$689$	−28.6222	−	16.5251i	−1.09042	−	0.629554i
$690$	3.71384	−	4.42598i	0.141383	−	0.168494i
$691$	−32.8077	−	11.9410i	−1.24806	−	0.454258i	−0.368317	−	0.929700i	$-0.620066\pi$
$691$	−32.8077	−	11.9410i	−1.24806	−	0.454258i	−0.879747	+	0.475442i	$0.842288\pi$
$692$	1.46490	+	2.53729i	0.0556872	+	0.0964531i
$693$	−17.9503	+	31.0909i	−0.681876	+	1.18104i
$694$	5.40451	−	4.53492i	0.205152	−	0.172143i
$695$	15.5877	−	8.99954i	0.591274	−	0.341372i
$696$	−0.244560	+	1.38697i	−0.00927003	+	0.0525730i
$697$		−	9.98299i		−	0.378133i
$698$	−25.2560	−	4.45331i	−0.955954	−	0.168560i
$699$	6.01509	+	5.04726i	0.227512	+	0.190905i
$700$	3.55540	−	1.29406i	0.134381	−	0.0489108i
$701$	9.15308	−	25.1479i	0.345707	−	0.949823i	−0.637999	−	0.770037i	$-0.720237\pi$
$701$	9.15308	−	25.1479i	0.345707	−	0.949823i	0.983706	−	0.179785i	$-0.0575403\pi$
$702$	−8.40636			−0.317277
$703$	2.68438	+	9.12735i	0.101243	+	0.344245i
$704$	−5.99619			−0.225990
$705$	1.91544	−	5.26263i	0.0721397	−	0.198202i
$706$	−6.16948	+	2.24551i	−0.232191	+	0.0845107i
$707$	−6.53472	−	5.48328i	−0.245763	−	0.206220i
$708$	−1.74436	−	0.307578i	−0.0655572	−	0.0115595i
$709$			6.67084i			0.250529i	0.992123	+	0.125264i	$0.0399779\pi$
$709$			6.67084i			0.250529i	−0.992123	+	0.125264i	$0.960022\pi$
$710$	4.89828	−	27.7795i	0.183829	−	1.04255i
$711$	−6.35802	+	3.67081i	−0.238444	+	0.137666i
$712$	−12.4586	+	10.4540i	−0.466906	+	0.391781i
$713$	10.8298	−	18.7578i	0.405580	−	0.702485i
$714$	0.347550	+	0.601974i	0.0130067	+	0.0225283i
$715$	−60.5782	−	22.0487i	−2.26550	−	0.824573i
$716$	5.63534	−	6.71594i	0.210603	−	0.250986i
$717$	−5.15738	−	2.97761i	−0.192606	−	0.111201i
$718$	19.5546	−	3.44800i	0.729771	−	0.128678i
$719$	8.26991	+	46.9010i	0.308416	+	1.74911i	0.606975	+	0.794721i	$0.292383\pi$
$719$	8.26991	+	46.9010i	0.308416	+	1.74911i	−0.298559	+	0.954391i	$0.596506\pi$
$720$	−4.83333	−	5.76014i	−0.180128	−	0.214668i
$721$	7.68026	+	21.1013i	0.286028	+	0.785855i
$722$	5.66169	+	15.5554i	0.210706	+	0.578910i
$723$	1.26968	+	1.51314i	0.0472198	+	0.0562743i
$724$	4.64617	+	26.3498i	0.172674	+	0.979281i
$725$	−7.26679	+	1.28133i	−0.269882	+	0.0475874i
$726$	−7.50544	−	4.33327i	−0.278553	−	0.160823i
$727$	−32.2308	+	38.4112i	−1.19537	+	1.42459i	−0.315802	+	0.948825i	$0.602274\pi$
$727$	−32.2308	+	38.4112i	−1.19537	+	1.42459i	−0.879572	+	0.475766i	$0.842171\pi$
$728$	8.04430	+	2.92789i	0.298142	+	0.108515i
$729$	10.3516	+	17.9296i	0.383394	+	0.664058i
$730$	−4.63913	+	8.03520i	−0.171702	+	0.297396i
$731$	2.77931	−	2.33212i	0.102796	−	0.0862565i
$732$	2.92687	−	1.68983i	0.108180	−	0.0624580i
$733$	4.88298	−	27.6927i	0.180357	−	1.02285i	−0.751420	−	0.659824i	$-0.770631\pi$
$733$	4.88298	−	27.6927i	0.180357	−	1.02285i	0.931777	−	0.363031i	$-0.118258\pi$
$734$			21.5993i			0.797244i
$735$	2.39039	+	0.421490i	0.0881708	+	0.0155469i
$736$	4.88011	+	4.09490i	0.179883	+	0.150940i
$737$	59.4657	−	21.6438i	2.19045	−	0.797258i
$738$	10.2139	−	28.0625i	0.375980	−	1.03300i
$739$	32.3511			1.19006			0.595028	−	0.803705i	$-0.297141\pi$
$739$	32.3511			1.19006			0.595028	+	0.803705i	$0.297141\pi$
$740$	−9.42380	−	12.7874i	−0.346426	−	0.470073i
$741$	2.23632			0.0821533
$742$	−5.70921	+	15.6859i	−0.209592	+	0.575848i
$743$	−7.05630	+	2.56828i	−0.258871	+	0.0942212i	−0.468195	−	0.883625i	$-0.655096\pi$
$743$	−7.05630	+	2.56828i	−0.258871	+	0.0942212i	0.209325	+	0.977846i	$0.432873\pi$
$744$	0.904543	+	0.759002i	0.0331622	+	0.0278264i
$745$	8.98851	+	1.58492i	0.329313	+	0.0580668i
$746$			31.2808i			1.14527i
$747$	−3.45801	+	19.6113i	−0.126522	+	0.717542i
$748$	4.99834	−	2.88579i	0.182757	−	0.105515i
$749$	−32.3441	+	27.1399i	−1.18183	+	0.991672i
$750$	1.44222	−	2.49800i	0.0526624	−	0.0912140i
$751$	−7.37086	−	12.7667i	−0.268966	−	0.465863i	0.699629	−	0.714506i	$-0.253349\pi$
$751$	−7.37086	−	12.7667i	−0.268966	−	0.465863i	−0.968595	+	0.248643i	$0.920015\pi$
$752$	5.80261	+	2.11198i	0.211599	+	0.0770159i
$753$	−5.65884	+	6.74395i	−0.206220	+	0.245763i
$754$	−14.4584	−	8.34759i	−0.526546	−	0.304001i
$755$	24.1966	−	4.26651i	0.880603	−	0.155274i
$756$	0.737275	+	4.18129i	0.0268144	+	0.152072i
$757$	−14.2111	−	16.9361i	−0.516511	−	0.615553i	0.443241	−	0.896402i	$-0.353828\pi$
$757$	−14.2111	−	16.9361i	−0.516511	−	0.615553i	−0.959752	+	0.280849i	$0.909384\pi$
$758$	−6.86090	−	18.8502i	−0.249199	−	0.684669i
$759$	4.53736	+	12.4663i	0.164696	+	0.452498i
$760$	2.62546	+	3.12890i	0.0952353	+	0.113497i
$761$	5.52983	+	31.3612i	0.200456	+	1.13684i	0.904431	+	0.426619i	$0.140296\pi$
$761$	5.52983	+	31.3612i	0.200456	+	1.13684i	−0.703975	+	0.710225i	$0.748593\pi$
$762$	2.18248	−	0.384830i	0.0790630	−	0.0139409i
$763$	11.2185	+	6.47698i	0.406135	+	0.234482i
$764$	−1.16832	+	1.39235i	−0.0422682	+	0.0503733i
$765$	6.80119	+	2.47543i	0.245897	+	0.0894993i
$766$	8.24957	+	14.2887i	0.298069	+	0.516271i
$767$	10.4986	−	18.1841i	0.379082	−	0.656589i
$768$	−0.266044	+	0.223238i	−0.00960005	+	0.00805540i
$769$	19.6375	−	11.3377i	0.708148	−	0.408849i	−0.102227	−	0.994761i	$-0.532597\pi$
$769$	19.6375	−	11.3377i	0.708148	−	0.408849i	0.810375	+	0.585912i	$0.199263\pi$
$770$	−5.65395	+	32.0652i	−0.203754	+	1.15555i
$771$		−	1.79585i		−	0.0646761i
$772$	−1.04887	−	0.184945i	−0.0377497	−	0.00665630i
$773$	9.05550	+	7.59846i	0.325704	+	0.273298i	0.790947	−	0.611885i	$-0.209589\pi$
$773$	9.05550	+	7.59846i	0.325704	+	0.273298i	−0.465243	+	0.885183i	$0.654033\pi$
$774$	10.1988	−	3.71206i	0.366588	−	0.133427i
$775$	−2.11593	+	5.81348i	−0.0760066	+	0.208826i
$776$	−16.3015			−0.585189
$777$	0.488790	+	4.36539i	0.0175352	+	0.156607i
$778$	−0.826432			−0.0296290
$779$	−5.54818	+	15.2435i	−0.198784	+	0.546155i
$780$	−3.50866	+	1.27705i	−0.125630	+	0.0457256i
$781$	49.6162	+	41.6329i	1.77541	+	1.48974i
$782$	−6.03875	−	1.06479i	−0.215945	−	0.0380770i
$783$		−	8.28033i		−	0.295915i
$784$	−0.464737	+	2.63566i	−0.0165978	+	0.0941306i
$785$	5.73241	−	3.30961i	0.204598	−	0.118125i
$786$	−2.78106	+	2.33359i	−0.0991971	+	0.0832362i
$787$	−4.07295	+	7.05455i	−0.145185	+	0.251468i	−0.929442	−	0.368969i	$-0.879711\pi$
$787$	−4.07295	+	7.05455i	−0.145185	+	0.251468i	0.784257	+	0.620436i	$0.213044\pi$
$788$	−7.87833	−	13.6457i	−0.280654	−	0.486107i
$789$	3.15649	+	1.14887i	0.112374	+	0.0409009i
$790$	−4.27995	+	5.10064i	−0.152274	+	0.181473i
$791$	11.0423	+	6.37525i	0.392618	+	0.226678i
$792$	17.0030	−	2.99810i	0.604177	−	0.106533i
$793$	6.95695	+	39.4548i	0.247049	+	1.40108i
$794$	−5.81660	−	6.93196i	−0.206424	−	0.246006i
$795$	−2.49017	−	6.84168i	−0.0883171	−	0.242649i
$796$	−7.05829	−	19.3925i	−0.250175	−	0.687349i
$797$	−16.0737	−	19.1558i	−0.569358	−	0.678535i	0.402141	−	0.915578i	$-0.368266\pi$
$797$	−16.0737	−	19.1558i	−0.569358	−	0.678535i	−0.971499	+	0.237043i	$0.923822\pi$
$798$	−0.196135	−	1.11234i	−0.00694311	−	0.0393763i
$799$	−5.85340	+	1.03211i	−0.207079	+	0.0365135i
$800$	−1.57582	−	0.909799i	−0.0557136	−	0.0321663i
$801$	30.1011	−	35.8731i	1.06357	−	1.26751i
$802$	12.3339	+	4.48916i	0.435524	+	0.158518i
$803$	−10.6520	−	18.4499i	−0.375902	−	0.651081i
$804$	1.83263	−	3.17421i	0.0646320	−	0.111946i
$805$	26.4994	−	22.2357i	0.933982	−	0.783704i
$806$	−12.1222	+	6.99875i	−0.426986	+	0.246521i
$807$	1.43993	−	8.16625i	0.0506880	−	0.287466i
$808$			4.10247i			0.144325i
$809$	6.92526	+	1.22111i	0.243479	+	0.0429319i	0.294056	−	0.955788i	$-0.404995\pi$
$809$	6.92526	+	1.22111i	0.243479	+	0.0429319i	−0.0505767	+	0.998720i	$0.516106\pi$
$810$	15.8618	+	13.3096i	0.557327	+	0.467653i
$811$	7.62149	−	2.77399i	0.267627	−	0.0974081i	−0.204721	−	0.978820i	$-0.565629\pi$
$811$	7.62149	−	2.77399i	0.267627	−	0.0974081i	0.472348	+	0.881412i	$0.343407\pi$
$812$	−2.88399	+	7.92370i	−0.101208	+	0.278067i
$813$	−6.35860			−0.223006
$814$	36.2469	−	4.05854i	1.27045	−	0.142252i
$815$	−24.4899			−0.857845
$816$	0.114333	−	0.314127i	0.00400246	−	0.0109967i
$817$	−5.53997	+	2.01638i	−0.193819	+	0.0705443i
$818$	6.05236	+	5.07854i	0.211616	+	0.177567i
$819$	−24.2747	−	4.28028i	−0.848227	−	0.149565i
$820$		−	27.0845i		−	0.945831i
$821$	−8.00236	+	45.3837i	−0.279284	+	1.58390i	0.445730	+	0.895167i	$0.352944\pi$
$821$	−8.00236	+	45.3837i	−0.279284	+	1.58390i	−0.725015	+	0.688733i	$0.758167\pi$
$822$	1.87733	−	1.08388i	0.0654795	−	0.0378046i
$823$	9.04503	−	7.58968i	0.315290	−	0.264560i	−0.471384	−	0.881928i	$-0.656246\pi$
$823$	9.04503	−	7.58968i	0.315290	−	0.264560i	0.786674	+	0.617368i	$0.211801\pi$
$824$	5.39967	−	9.35250i	0.188106	−	0.325810i
$825$	−1.89462	−	3.28157i	−0.0659621	−	0.114250i
$826$	−9.96548	−	3.62714i	−0.346743	−	0.126204i
$827$	18.3297	−	21.8445i	0.637387	−	0.759608i	−0.346568	−	0.938025i	$-0.612653\pi$
$827$	18.3297	−	21.8445i	0.637387	−	0.759608i	0.983955	+	0.178417i	$0.0570975\pi$
$828$	−15.8857	−	9.17162i	−0.552066	−	0.318736i
$829$	0.266399	−	0.0469734i	0.00925242	−	0.00163145i	−0.169020	−	0.985613i	$-0.554060\pi$
$829$	0.266399	−	0.0469734i	0.00925242	−	0.00163145i	0.178272	+	0.983981i	$0.442949\pi$
$830$	3.13621	+	17.7864i	0.108860	+	0.617374i
$831$	−3.95838	−	4.71741i	−0.137315	−	0.163645i
$832$	−1.40808	−	3.86867i	−0.0488164	−	0.134122i
$833$	−0.881066	−	2.42071i	−0.0305271	−	0.0838726i
$834$	1.53865	+	1.83369i	0.0532789	+	0.0634954i
$835$	−4.72629	−	26.8041i	−0.163560	−	0.927595i
$836$	−9.23602	+	1.62856i	−0.319435	+	0.0563249i
$837$	−6.01226	−	3.47118i	−0.207814	−	0.119982i
$838$	−20.5569	+	24.4987i	−0.710126	+	0.846295i
$839$	−21.9497	−	7.98904i	−0.757788	−	0.275812i	−0.0659091	−	0.997826i	$-0.520995\pi$
$839$	−21.9497	−	7.98904i	−0.757788	−	0.275812i	−0.691879	+	0.722013i	$0.743217\pi$
$840$	0.942924	+	1.63319i	0.0325340	+	0.0563505i
$841$	−6.27756	+	10.8731i	−0.216468	+	0.374933i
$842$	4.29957	−	3.60776i	0.148173	−	0.124332i
$843$	−4.58622	+	2.64786i	−0.157958	+	0.0911970i
$844$	−1.07686	+	6.10718i	−0.0370671	+	0.210218i
$845$		−	10.3133i		−	0.354788i
$846$	−17.5101	−	3.08750i	−0.602010	−	0.106151i
$847$	−39.7490	−	33.3534i	−1.36579	−	1.14604i
$848$	7.54368	−	2.74567i	0.259051	−	0.0942868i
$849$	2.90461	−	7.98034i	0.0996858	−	0.273885i
$850$	1.75144			0.0600739
$851$	−32.2719	−	21.4505i	−1.10627	−	0.735314i
$852$	3.75141			0.128521
$853$	−6.83552	+	18.7804i	−0.234044	+	0.643030i	0.765956	+	0.642893i	$0.222266\pi$
$853$	−6.83552	+	18.7804i	−0.234044	+	0.643030i	−1.00000		0.000137243i	$0.999956\pi$
$854$	19.0145	−	6.92073i	0.650664	−	0.236822i
$855$	−9.00930	−	7.55970i	−0.308112	−	0.258536i
$856$	19.9970	+	3.52602i	0.683485	+	0.120517i
$857$			16.1108i			0.550334i	0.961396	+	0.275167i	$0.0887331\pi$
$857$			16.1108i			0.550334i	−0.961396	+	0.275167i	$0.911267\pi$
$858$	1.48875	−	8.44311i	0.0508251	−	0.288243i
$859$	−2.89285	+	1.67019i	−0.0987029	+	0.0569861i	−0.548539	−	0.836125i	$-0.684816\pi$
$859$	−2.89285	+	1.67019i	−0.0987029	+	0.0569861i	0.449836	+	0.893111i	$0.351482\pi$
$860$	7.54044	−	6.32718i	0.257127	−	0.215755i
$861$	−3.74488	+	6.48633i	−0.127625	+	0.221054i
$862$	−9.97606	−	17.2790i	−0.339786	−	0.588526i
$863$	−36.4573	−	13.2694i	−1.24102	−	0.451695i	−0.363664	−	0.931530i	$-0.618474\pi$
$863$	−36.4573	−	13.2694i	−1.24102	−	0.451695i	−0.877359	+	0.479835i	$0.840697\pi$
$864$	1.31250	−	1.56418i	0.0446522	−	0.0532144i
$865$	−6.62596	−	3.82550i	−0.225289	−	0.130071i
$866$	−15.5806	+	2.74727i	−0.529449	+	0.0933562i
$867$	−0.969351	−	5.49747i	−0.0329209	−	0.186704i
$868$	4.54433	+	5.41572i	0.154244	+	0.183821i
$869$	−5.22900	−	14.3666i	−0.177382	−	0.487352i
$870$	−1.25790	−	3.45606i	−0.0426469	−	0.117171i
$871$	27.9286	+	33.2840i	0.946323	+	1.12778i
$872$	−1.08180	−	6.13517i	−0.0366343	−	0.207763i
$873$	46.2252	−	8.15074i	1.56448	−	0.275861i
$874$	8.62909	+	4.98200i	0.291883	+	0.168519i
$875$	11.1008	−	13.2295i	0.375277	−	0.447238i
$876$	−1.15951	−	0.422026i	−0.0391761	−	0.0142589i
$877$	1.42022	+	2.45989i	0.0479573	+	0.0830644i	0.889008	−	0.457892i	$-0.151396\pi$
$877$	1.42022	+	2.45989i	0.0479573	+	0.0830644i	−0.841050	+	0.540957i	$0.818062\pi$
$878$	−1.53164	+	2.65288i	−0.0516903	+	0.0895302i
$879$	−3.34485	+	2.80666i	−0.112819	+	0.0946663i
$880$	13.5608	−	7.82933i	0.457135	−	0.263927i
$881$	−8.77517	+	49.7665i	−0.295643	+	1.67668i	0.368934	+	0.929456i	$0.379723\pi$
$881$	−8.77517	+	49.7665i	−0.295643	+	1.67668i	−0.664577	+	0.747220i	$0.731388\pi$
$882$		−	7.70614i		−	0.259479i
$883$	28.2429	+	4.97998i	0.950448	+	0.167590i	0.627317	−	0.778764i	$-0.284153\pi$
$883$	28.2429	+	4.97998i	0.950448	+	0.167590i	0.323132	+	0.946354i	$0.395264\pi$
$884$	3.03563	+	2.54720i	0.102099	+	0.0856715i
$885$	4.34661	−	1.58204i	0.146110	−	0.0531796i
$886$	0.943712	−	2.59283i	0.0317046	−	0.0871077i
$887$	−14.6784			−0.492851			−0.246425	−	0.969162i	$-0.579256\pi$
$887$	−14.6784			−0.492851			−0.246425	+	0.969162i	$0.579256\pi$
$888$	1.45714	−	1.52954i	0.0488983	−	0.0513281i
$889$	13.2686			0.445015
$890$	14.5260	−	39.9099i	0.486913	−	1.33778i
$891$	−44.6766	+	16.2610i	−1.49672	+	0.544763i
$892$	−0.642826	−	0.539395i	−0.0215234	−	0.0180603i
$893$	9.51145	+	1.67713i	0.318289	+	0.0561229i
$894$			1.21383i			0.0405965i
$895$	−3.97560	+	22.5467i	−0.132889	+	0.753654i
$896$	−1.80077	+	1.03967i	−0.0601594	+	0.0347331i
$897$	−6.97760	+	5.85490i	−0.232975	+	0.195489i
$898$	11.3281	−	19.6209i	0.378024	−	0.654757i
$899$	−6.89383	−	11.9405i	−0.229922	−	0.398237i
$900$	4.92335	+	1.79195i	0.164112	+	0.0597318i
$901$	−4.96689	+	5.91931i	−0.165471	+	0.197201i
$902$	53.8576	+	31.0947i	1.79326	+	1.03534i
$903$	−2.68066	+	0.472673i	−0.0892068	+	0.0157296i
$904$	−1.06481	−	6.03882i	−0.0354149	−	0.200848i
$905$	−44.9130	−	53.5252i	−1.49296	−	1.77924i
$906$	1.11757	+	3.07050i	0.0371288	+	0.102010i
$907$	15.3162	+	42.0808i	0.508565	+	1.39727i	0.882717	+	0.469904i	$0.155711\pi$
$907$	15.3162	+	42.0808i	0.508565	+	1.39727i	−0.374152	+	0.927367i	$0.622066\pi$
$908$	−4.19335	−	4.99744i	−0.139161	−	0.165846i
$909$	−2.05124	−	11.6331i	−0.0680352	−	0.385847i
$910$	−22.0157	+	3.88197i	−0.729815	+	0.128686i
$911$	5.76500	+	3.32842i	0.191003	+	0.110276i	0.592452	−	0.805606i	$-0.298160\pi$
$911$	5.76500	+	3.32842i	0.191003	+	0.110276i	−0.401449	+	0.915881i	$0.631493\pi$
$912$	−0.349161	+	0.416114i	−0.0115619	+	0.0137789i
$913$	−38.9688	−	14.1835i	−1.28968	−	0.469405i
$914$	−14.7512	−	25.5499i	−0.487927	−	0.845114i
$915$	−4.41289	+	7.64334i	−0.145886	+	0.252681i
$916$	−5.05906	+	4.24506i	−0.167156	+	0.140261i
$917$	−18.8241	+	10.8681i	−0.621626	+	0.358896i
$918$	−0.341289	+	1.93554i	−0.0112642	+	0.0638825i
$919$		−	44.6670i		−	1.47343i	−0.676203	−	0.736715i	$-0.736376\pi$
$919$		−	44.6670i		−	1.47343i	0.676203	−	0.736715i	$-0.263624\pi$
$920$	−16.3835	−	2.88885i	−0.540148	−	0.0952427i
$921$	−2.50137	−	2.09889i	−0.0824228	−	0.0691609i
$922$	−3.82897	+	1.39363i	−0.126100	+	0.0458968i
$923$	−15.2097	+	41.7884i	−0.500634	+	1.37548i
$924$	−4.33015			−0.142451
$925$	10.1416	+	4.43313i	0.333454	+	0.145760i
$926$	2.94242			0.0966941
$927$	−10.6353	+	29.2202i	−0.349308	+	0.959717i
$928$	3.81067	−	1.38697i	0.125091	−	0.0455295i
$929$	1.25524	+	1.05327i	0.0411831	+	0.0345567i	0.663147	−	0.748489i	$-0.269220\pi$
$929$	1.25524	+	1.05327i	0.0411831	+	0.0345567i	−0.621964	+	0.783046i	$0.713665\pi$
$930$	−3.03673	−	0.535457i	−0.0995783	−	0.0175583i
$931$			4.18596i			0.137189i
$932$	3.92607	−	22.2659i	0.128603	−	0.729342i
$933$	−4.84279	+	2.79599i	−0.158546	+	0.0915365i
$934$	−4.06190	+	3.40834i	−0.132909	+	0.111524i
$935$	−7.53606	+	13.0528i	−0.246456	+	0.426874i
$936$	5.92714	+	10.2661i	0.193735	+	0.335558i
$937$	36.9995	+	13.4667i	1.20872	+	0.439938i	0.866260	−	0.499594i	$-0.166517\pi$
$937$	36.9995	+	13.4667i	1.20872	+	0.439938i	0.342461	+	0.939532i	$0.388740\pi$
$938$	14.1059	−	16.8107i	0.460573	−	0.548890i
$939$	0.173230	+	0.100014i	0.00565315	+	0.00326385i
$940$	−15.8806	+	2.80019i	−0.517970	+	0.0913320i
$941$	−5.32651	−	30.2081i	−0.173639	−	0.984757i	−0.939703	−	0.341992i	$-0.888898\pi$
$941$	−5.32651	−	30.2081i	−0.173639	−	0.984757i	0.766064	−	0.642765i	$-0.222213\pi$
$942$	0.565842	+	0.674344i	0.0184361	+	0.0219713i
$943$	−22.5979	−	62.0873i	−0.735890	−	2.02184i
$944$	1.74436	+	4.79260i	0.0567742	+	0.155986i
$945$	−7.12699	−	8.49361i	−0.231841	−	0.276297i
$946$	3.92472	+	22.2582i	0.127604	+	0.723677i
$947$	−21.6531	+	3.81803i	−0.703632	+	0.124069i	−0.514005	−	0.857787i	$-0.671839\pi$
$947$	−21.6531	+	3.81803i	−0.703632	+	0.124069i	−0.189626	+	0.981856i	$0.560728\pi$
$948$	−0.766871	−	0.442753i	−0.0249068	−	0.0143800i
$949$	9.40221	−	11.2051i	0.305209	−	0.363734i
$950$	−2.67436	−	0.973386i	−0.0867676	−	0.0315808i
$951$	2.04083	+	3.53482i	0.0661784	+	0.114624i
$952$	1.00073	−	1.73331i	0.0324338	−	0.0561770i
$953$	10.5688	−	8.86830i	0.342358	−	0.287272i	−0.455355	−	0.890310i	$-0.650488\pi$
$953$	10.5688	−	8.86830i	0.342358	−	0.287272i	0.797713	+	0.603038i	$0.206043\pi$
$954$	−20.0183	+	11.5576i	−0.648117	+	0.374191i
$955$	0.824219	−	4.67438i	0.0266711	−	0.151259i
$956$			17.1474i			0.554586i
$957$	8.31654	+	1.46643i	0.268835	+	0.0474029i
$958$	−13.6867	−	11.4845i	−0.442198	−	0.371048i
$959$	12.1962	−	4.43904i	0.393835	−	0.143344i
$960$	0.310193	−	0.852247i	0.0100114	−	0.0275062i
$961$	19.4402			0.627103
$962$	11.1303	+	22.4330i	0.358857	+	0.723268i
$963$	−58.4674			−1.88409
$964$	1.94526	−	5.34455i	0.0626525	−	0.172136i
$965$	2.61358	−	0.951267i	0.0841342	−	0.0306224i
$966$	3.52417	+	2.95713i	0.113388	+	0.0951442i
$967$	−42.1185	−	7.42663i	−1.35444	−	0.238824i	−0.551147	−	0.834408i	$-0.685810\pi$
$967$	−42.1185	−	7.42663i	−1.35444	−	0.238824i	−0.803293	+	0.595584i	$0.796921\pi$
$968$			24.9543i			0.802062i
$969$	0.0907921	−	0.514908i	0.00291666	−	0.0165412i
$970$	36.8670	−	21.2851i	1.18373	−	0.683425i
$971$	42.7120	−	35.8396i	1.37069	−	1.15015i	0.398178	−	0.917308i	$-0.369643\pi$
$971$	42.7120	−	35.8396i	1.37069	−	1.15015i	0.972515	−	0.232840i	$-0.0748018\pi$
$972$	−4.43969	+	7.68977i	−0.142403	+	0.246650i
$973$	7.16585	+	12.4116i	0.229727	+	0.397898i
$974$	29.4088	+	10.7039i	0.942320	+	0.342976i
$975$	1.67232	−	1.99299i	0.0535570	−	0.0638268i
$976$	−8.42760	−	4.86567i	−0.269761	−	0.155746i
$977$	−18.0002	+	3.17393i	−0.575878	+	0.101543i	−0.453999	−	0.891002i	$-0.650003\pi$
$977$	−18.0002	+	3.17393i	−0.575878	+	0.101543i	−0.121879	+	0.992545i	$0.538892\pi$
$978$	−0.565560	−	3.20745i	−0.0180846	−	0.102563i
$979$	62.6842	+	74.7042i	2.00340	+	2.38756i
$980$	−2.39039	−	6.56754i	−0.0763581	−	0.209792i
$981$	6.13517	+	16.8563i	0.195881	+	0.538179i
$982$	8.65064	+	10.3094i	0.276053	+	0.328987i
$983$	−4.37560	−	24.8153i	−0.139560	−	0.791485i	−0.971575	−	0.236731i	$-0.923924\pi$
$983$	−4.37560	−	24.8153i	−0.139560	−	0.791485i	0.832015	−	0.554753i	$-0.187187\pi$
$984$	3.54726	−	0.625477i	0.113082	−	0.0199395i
$985$	35.6348	+	20.5738i	1.13542	+	0.655534i
$986$	−2.50901	+	2.99012i	−0.0799032	+	0.0952249i
$987$	4.19035	+	1.52516i	0.133380	+	0.0485465i
$988$	−3.21961	−	5.57653i	−0.102430	−	0.177413i
$989$	12.0063	−	20.7955i	0.381778	−	0.661259i
$990$	−34.5389	+	28.9816i	−1.09772	+	0.921095i
$991$	−25.7428	+	14.8626i	−0.817748	+	0.472127i	−0.849639	−	0.527364i	$-0.823180\pi$
$991$	−25.7428	+	14.8626i	−0.817748	+	0.472127i	0.0318914	+	0.999491i	$0.489847\pi$
$992$	0.590399	−	3.34832i	0.0187452	−	0.106309i
$993$		−	4.90989i		−	0.155811i
$994$	22.1194	+	3.90024i	0.701584	+	0.123708i
$995$	41.2840	+	34.6414i	1.30879	+	1.09820i
$996$	−2.25706	+	0.821501i	−0.0715175	+	0.0260303i
$997$	−3.03661	+	8.34301i	−0.0961703	+	0.264226i	−0.978444	−	0.206510i	$-0.933789\pi$
$997$	−3.03661	+	8.34301i	−0.0961703	+	0.264226i	0.882274	+	0.470736i	$0.156012\pi$
$998$	−36.7694			−1.16392
$999$	−6.87533	+	10.3438i	−0.217526	+	0.327264i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	74.2.h.a.21.1	✓	12
3.2	odd	2		666.2.bj.c.613.2		12
4.3	odd	2		592.2.bq.b.465.2		12
37.17	odd	36		2738.2.a.r.1.3		6
37.20	odd	36		2738.2.a.s.1.4		6
37.30	even	18	inner	74.2.h.a.67.1	yes	12
111.104	odd	18		666.2.bj.c.289.2		12
148.67	odd	18		592.2.bq.b.289.2		12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
74.2.h.a.21.1	✓	12	1.1	even	1	trivial
74.2.h.a.67.1	yes	12	37.30	even	18	inner
592.2.bq.b.289.2		12	148.67	odd	18
592.2.bq.b.465.2		12	4.3	odd	2
666.2.bj.c.289.2		12	111.104	odd	18
666.2.bj.c.613.2		12	3.2	odd	2
2738.2.a.r.1.3		6	37.17	odd	36
2738.2.a.s.1.4		6	37.20	odd	36

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:	\( N \)	\(=\)	\( 74 = 2 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	74.h (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.342020 + 0.939693i) q^{2} +(0.326352 - 0.118782i) q^{3} +(-0.766044 - 0.642788i) q^{4} +(2.57176 + 0.453471i) q^{5} +0.347296i q^{6} +(-0.361075 + 2.04776i) q^{7} +(0.866025 - 0.500000i) q^{8} +(-2.20574 + 1.85083i) q^{9} +O(q^{10})\)	\(q+(-0.342020 + 0.939693i) q^{2} +(0.326352 - 0.118782i) q^{3} +(-0.766044 - 0.642788i) q^{4} +(2.57176 + 0.453471i) q^{5} +0.347296i q^{6} +(-0.361075 + 2.04776i) q^{7} +(0.866025 - 0.500000i) q^{8} +(-2.20574 + 1.85083i) q^{9} +(-1.30572 + 2.26157i) q^{10} +(-2.99810 - 5.19285i) q^{11} +(-0.326352 - 0.118782i) q^{12} +(2.64632 - 3.15377i) q^{13} +(-1.80077 - 1.03967i) q^{14} +(0.893164 - 0.157489i) q^{15} +(0.173648 + 0.984808i) q^{16} +(-0.618710 - 0.737350i) q^{17} +(-0.984808 - 2.70574i) q^{18} +(0.534946 + 1.46975i) q^{19} +(-1.67860 - 2.00048i) q^{20} +(0.125400 + 0.711179i) q^{21} +(5.90509 - 1.04123i) q^{22} +(-5.51705 - 3.18527i) q^{23} +(0.223238 - 0.266044i) q^{24} +(1.70986 + 0.622339i) q^{25} +(2.05847 + 3.56538i) q^{26} +(-1.02094 + 1.76833i) q^{27} +(1.59287 - 1.33658i) q^{28} +(-3.51193 + 2.02761i) q^{29} +(-0.157489 + 0.893164i) q^{30} +3.39997i q^{31} +(-0.984808 - 0.173648i) q^{32} +(-1.59525 - 1.33858i) q^{33} +(0.904494 - 0.329209i) q^{34} +(-1.85720 + 5.10261i) q^{35} +2.87939 q^{36} +(6.07068 + 0.383130i) q^{37} -1.56408 q^{38} +(0.489021 - 1.34357i) q^{39} +(2.45395 - 0.893164i) q^{40} +(7.94502 + 6.66666i) q^{41} +(-0.711179 - 0.125400i) q^{42} +3.76932i q^{43} +(-1.04123 + 5.90509i) q^{44} +(-6.51193 + 3.75967i) q^{45} +(4.88011 - 4.09490i) q^{46} +(3.08750 - 5.34771i) q^{47} +(0.173648 + 0.300767i) q^{48} +(2.51491 + 0.915354i) q^{49} +(-1.16962 + 1.39389i) q^{50} +(-0.289501 - 0.167144i) q^{51} +(-4.05440 + 0.714901i) q^{52} +(-1.39401 - 7.90585i) q^{53} +(-1.31250 - 1.56418i) q^{54} +(-5.35558 - 14.7143i) q^{55} +(0.711179 + 1.95395i) q^{56} +(0.349161 + 0.416114i) q^{57} +(-0.704183 - 3.99362i) q^{58} +(5.02269 - 0.885636i) q^{59} +(-0.785435 - 0.453471i) q^{60} +(-6.25519 + 7.45465i) q^{61} +(-3.19493 - 1.16286i) q^{62} +(-2.99362 - 5.18510i) q^{63} +(0.500000 - 0.866025i) q^{64} +(8.23586 - 6.91071i) q^{65} +(1.80346 - 1.04123i) q^{66} +(-1.83263 + 10.3934i) q^{67} +0.962542i q^{68} +(-2.17885 - 0.384190i) q^{69} +(-4.15968 - 3.49039i) q^{70} +(-10.1503 + 3.69442i) q^{71} +(-0.984808 + 2.70574i) q^{72} +3.55293 q^{73} +(-2.43632 + 5.57354i) q^{74} +0.631940 q^{75} +(0.534946 - 1.46975i) q^{76} +(11.7162 - 4.26436i) q^{77} +(1.09529 + 0.919059i) q^{78} +(2.51098 + 0.442753i) q^{79} +2.61144i q^{80} +(1.37686 - 7.80856i) q^{81} +(-8.98197 + 5.18574i) q^{82} +(5.29798 - 4.44553i) q^{83} +(0.361075 - 0.625400i) q^{84} +(-1.25681 - 2.17686i) q^{85} +(-3.54200 - 1.28918i) q^{86} +(-0.905280 + 1.07887i) q^{87} +(-5.19285 - 2.99810i) q^{88} +(-16.0165 + 2.82414i) q^{89} +(-1.30572 - 7.40509i) q^{90} +(5.50263 + 6.55778i) q^{91} +(2.17885 + 5.98635i) q^{92} +(0.403856 + 1.10959i) q^{93} +(3.96922 + 4.73033i) q^{94} +(0.709264 + 4.02243i) q^{95} +(-0.342020 + 0.0603074i) q^{96} +(-14.1175 - 8.15074i) q^{97} +(-1.72030 + 2.05018i) q^{98} +(16.2241 + 5.90509i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + 6 q^{3} - 12 q^{7} - 6 q^{9}+O(q^{10}) \) 12 * q + 6 * q^3 - 12 * q^7 - 6 * q^9	\( 12 q + 6 q^{3} - 12 q^{7} - 6 q^{9} + 6 q^{10} - 6 q^{11} - 6 q^{12} + 6 q^{13} - 18 q^{14} - 18 q^{19} - 6 q^{21} - 18 q^{25} + 12 q^{26} - 6 q^{27} - 6 q^{28} + 18 q^{29} + 24 q^{30} - 6 q^{33} + 12 q^{34} + 18 q^{35} + 12 q^{36} + 30 q^{37} - 24 q^{38} + 30 q^{39} + 12 q^{40} + 24 q^{41} + 6 q^{44} - 18 q^{45} + 30 q^{46} + 6 q^{47} + 12 q^{49} - 36 q^{50} - 12 q^{52} - 12 q^{53} - 18 q^{55} - 36 q^{57} + 6 q^{58} - 36 q^{61} - 6 q^{63} + 6 q^{64} + 36 q^{65} - 30 q^{67} - 18 q^{69} - 12 q^{70} + 12 q^{71} - 48 q^{74} - 36 q^{75} - 18 q^{76} + 12 q^{77} - 6 q^{78} + 6 q^{79} + 24 q^{81} - 48 q^{83} + 12 q^{84} + 18 q^{85} - 36 q^{86} + 36 q^{87} - 36 q^{88} - 18 q^{89} + 6 q^{90} - 6 q^{91} + 18 q^{92} - 12 q^{93} + 36 q^{97} + 36 q^{98} + 30 q^{99}+O(q^{100}) \) 12 * q + 6 * q^3 - 12 * q^7 - 6 * q^9 + 6 * q^10 - 6 * q^11 - 6 * q^12 + 6 * q^13 - 18 * q^14 - 18 * q^19 - 6 * q^21 - 18 * q^25 + 12 * q^26 - 6 * q^27 - 6 * q^28 + 18 * q^29 + 24 * q^30 - 6 * q^33 + 12 * q^34 + 18 * q^35 + 12 * q^36 + 30 * q^37 - 24 * q^38 + 30 * q^39 + 12 * q^40 + 24 * q^41 + 6 * q^44 - 18 * q^45 + 30 * q^46 + 6 * q^47 + 12 * q^49 - 36 * q^50 - 12 * q^52 - 12 * q^53 - 18 * q^55 - 36 * q^57 + 6 * q^58 - 36 * q^61 - 6 * q^63 + 6 * q^64 + 36 * q^65 - 30 * q^67 - 18 * q^69 - 12 * q^70 + 12 * q^71 - 48 * q^74 - 36 * q^75 - 18 * q^76 + 12 * q^77 - 6 * q^78 + 6 * q^79 + 24 * q^81 - 48 * q^83 + 12 * q^84 + 18 * q^85 - 36 * q^86 + 36 * q^87 - 36 * q^88 - 18 * q^89 + 6 * q^90 - 6 * q^91 + 18 * q^92 - 12 * q^93 + 36 * q^97 + 36 * q^98 + 30 * q^99

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