LMFDB - Embedded newform 155.2.u.a.49.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [155,2,Mod(9,155)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(155, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 2]))

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

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

chi := DirichletCharacter("155.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 155 = 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	155.u (of order $30$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.23768123133$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$14$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			49.10
Character	$\chi$	$=$	155.49
Dual form			155.2.u.a.19.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.628586 + 0.865175i) q^{2} +(-0.608108 - 1.36583i) q^{3} +(0.264627 - 0.814440i) q^{4} +(-1.47625 - 1.67949i) q^{5} +(0.799436 - 1.38466i) q^{6} +(-0.822981 + 0.741015i) q^{7} +(2.90512 - 0.943931i) q^{8} +(0.511686 - 0.568285i) q^{9} +O(q^{10})$	\(q+(0.628586 + 0.865175i) q^{2} +(-0.608108 - 1.36583i) q^{3} +(0.264627 - 0.814440i) q^{4} +(-1.47625 - 1.67949i) q^{5} +(0.799436 - 1.38466i) q^{6} +(-0.822981 + 0.741015i) q^{7} +(2.90512 - 0.943931i) q^{8} +(0.511686 - 0.568285i) q^{9} +(0.525104 - 2.33292i) q^{10} +(2.20754 - 0.469227i) q^{11} +(-1.27331 + 0.133830i) q^{12} +(-1.49181 - 0.156795i) q^{13} +(-1.15842 - 0.246230i) q^{14} +(-1.39619 + 3.03762i) q^{15} +(1.25718 + 0.913392i) q^{16} +(-0.816326 + 3.84051i) q^{17} +(0.813305 + 0.0854818i) q^{18} +(0.424414 + 4.03803i) q^{19} +(-1.75850 + 0.757875i) q^{20} +(1.51257 + 0.673437i) q^{21} +(1.79359 + 1.61496i) q^{22} +(6.03029 - 1.95936i) q^{23} +(-3.05588 - 3.39390i) q^{24} +(-0.641384 + 4.95869i) q^{25} +(-0.802074 - 1.38923i) q^{26} +(-5.35309 - 1.73932i) q^{27} +(0.385729 + 0.866361i) q^{28} +(-2.47359 + 1.79717i) q^{29} +(-3.50570 + 0.701461i) q^{30} +(4.35687 + 3.46666i) q^{31} -4.44743i q^{32} +(-1.98331 - 2.72979i) q^{33} +(-3.83585 + 1.70783i) q^{34} +(2.45945 + 0.288267i) q^{35} +(-0.327428 - 0.567121i) q^{36} +(0.269000 + 0.155307i) q^{37} +(-3.22682 + 2.90544i) q^{38} +(0.693024 + 2.13291i) q^{39} +(-5.87400 - 3.48565i) q^{40} +(0.834884 + 0.371714i) q^{41} +(0.368137 + 1.73195i) q^{42} +(-6.05390 + 0.636290i) q^{43} +(0.202019 - 1.92208i) q^{44} +(-1.70981 - 0.0204429i) q^{45} +(5.48575 + 3.98563i) q^{46} +(7.39907 - 10.1839i) q^{47} +(0.483042 - 2.27253i) q^{48} +(-0.603505 + 5.74197i) q^{49} +(-4.69330 + 2.56206i) q^{50} +(5.74192 - 1.22048i) q^{51} +(-0.522473 + 1.17349i) q^{52} +(0.612047 + 0.551090i) q^{53} +(-1.86006 - 5.72467i) q^{54} +(-4.04694 - 3.01485i) q^{55} +(-1.69139 + 2.92958i) q^{56} +(5.25719 - 3.03524i) q^{57} +(-3.10972 - 1.01041i) q^{58} +(2.57646 - 1.14711i) q^{59} +(2.10449 + 1.94095i) q^{60} -6.49054 q^{61} +(-0.260596 + 5.94854i) q^{62} +0.846855i q^{63} +(6.36215 - 4.62238i) q^{64} +(1.93894 + 2.73694i) q^{65} +(1.11507 - 3.43182i) q^{66} +(0.744351 - 0.429751i) q^{67} +(2.91184 + 1.68115i) q^{68} +(-6.34323 - 7.04487i) q^{69} +(1.29658 + 2.30906i) q^{70} +(7.95269 - 8.83235i) q^{71} +(0.950088 - 2.13393i) q^{72} +(2.37513 + 11.1741i) q^{73} +(0.0347218 + 0.330356i) q^{74} +(7.16278 - 2.13940i) q^{75} +(3.40104 + 0.722914i) q^{76} +(-1.46906 + 2.02199i) q^{77} +(-1.40971 + 1.94030i) q^{78} +(-0.995344 - 0.211567i) q^{79} +(-0.321870 - 3.45981i) q^{80} +(0.639831 + 6.08759i) q^{81} +(0.203199 + 0.955975i) q^{82} +(-6.14691 + 13.8062i) q^{83} +(0.948740 - 1.05368i) q^{84} +(7.65521 - 4.29854i) q^{85} +(-4.35590 - 4.83772i) q^{86} +(3.95884 + 2.28564i) q^{87} +(5.97026 - 3.44693i) q^{88} +(-3.28825 + 10.1202i) q^{89} +(-1.05707 - 1.49213i) q^{90} +(1.34392 - 0.976412i) q^{91} -5.42981i q^{92} +(2.08543 - 8.05886i) q^{93} +13.4618 q^{94} +(6.15530 - 6.67393i) q^{95} +(-6.07445 + 2.70452i) q^{96} +(-16.8955 - 5.48970i) q^{97} +(-5.34716 + 3.08719i) q^{98} +(0.862913 - 1.49461i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q + 16 q^{4} - 5 q^{5} - 26 q^{6} - 32 q^{9}+O(q^{10}) $ 112 * q + 16 * q^4 - 5 * q^5 - 26 * q^6 - 32 * q^9	$ 112 q + 16 q^{4} - 5 q^{5} - 26 q^{6} - 32 q^{9} - 22 q^{10} - 10 q^{11} - 20 q^{14} - 18 q^{15} - 44 q^{16} - 46 q^{19} + 35 q^{20} + 26 q^{21} + 48 q^{24} + 19 q^{25} - 78 q^{26} + 16 q^{29} + 30 q^{30} - 26 q^{31} - 4 q^{34} - 27 q^{35} - 4 q^{36} - 63 q^{40} - 16 q^{41} - 86 q^{44} - 71 q^{45} + 4 q^{46} + 42 q^{49} - 10 q^{50} + 92 q^{51} + 32 q^{54} - 39 q^{55} - 34 q^{56} + 26 q^{59} - 71 q^{60} + 40 q^{61} + 24 q^{64} - 72 q^{65} + 252 q^{66} - 4 q^{69} - 26 q^{70} + 116 q^{71} - 18 q^{74} - 58 q^{75} + 224 q^{76} - 134 q^{79} + 158 q^{80} - 60 q^{81} - 20 q^{84} - 27 q^{85} - 126 q^{86} + 82 q^{89} + 129 q^{90} + 2 q^{91} - 244 q^{94} + 96 q^{95} + 208 q^{96} + 94 q^{99}+O(q^{100}) $ 112 * q + 16 * q^4 - 5 * q^5 - 26 * q^6 - 32 * q^9 - 22 * q^10 - 10 * q^11 - 20 * q^14 - 18 * q^15 - 44 * q^16 - 46 * q^19 + 35 * q^20 + 26 * q^21 + 48 * q^24 + 19 * q^25 - 78 * q^26 + 16 * q^29 + 30 * q^30 - 26 * q^31 - 4 * q^34 - 27 * q^35 - 4 * q^36 - 63 * q^40 - 16 * q^41 - 86 * q^44 - 71 * q^45 + 4 * q^46 + 42 * q^49 - 10 * q^50 + 92 * q^51 + 32 * q^54 - 39 * q^55 - 34 * q^56 + 26 * q^59 - 71 * q^60 + 40 * q^61 + 24 * q^64 - 72 * q^65 + 252 * q^66 - 4 * q^69 - 26 * q^70 + 116 * q^71 - 18 * q^74 - 58 * q^75 + 224 * q^76 - 134 * q^79 + 158 * q^80 - 60 * q^81 - 20 * q^84 - 27 * q^85 - 126 * q^86 + 82 * q^89 + 129 * q^90 + 2 * q^91 - 244 * q^94 + 96 * q^95 + 208 * q^96 + 94 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/155\mathbb{Z}\right)^\times$.

$n$	$32$	$96$
$\chi(n)$	$-1$	$e\left(\frac{13}{15}\right)$

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 $

$2$	0.628586	+	0.865175i	0.444478	+	0.611771i	0.971200	−	0.238267i	$-0.0765792\pi$
$2$	0.628586	+	0.865175i	0.444478	+	0.611771i	−0.526722	+	0.850037i	$0.676579\pi$
$3$	−0.608108	−	1.36583i	−0.351091	−	0.788564i	−0.999625	−	0.0273784i	$-0.991284\pi$
$3$	−0.608108	−	1.36583i	−0.351091	−	0.788564i	0.648534	−	0.761186i	$-0.275383\pi$
$4$	0.264627	−	0.814440i	0.132314	−	0.407220i
$5$	−1.47625	−	1.67949i	−0.660198	−	0.751091i
$5$	−1.47625	−	1.67949i	−0.660198	−	0.751091i
$6$	0.799436	−	1.38466i	0.326368	−	0.565287i
$7$	−0.822981	+	0.741015i	−0.311058	+	0.280077i	−0.809841	−	0.586649i	$-0.800447\pi$
$7$	−0.822981	+	0.741015i	−0.311058	+	0.280077i	0.498784	+	0.866726i	$0.333780\pi$
$8$	2.90512	−	0.943931i	1.02712	−	0.333730i
$9$	0.511686	−	0.568285i	0.170562	−	0.189428i
$10$	0.525104	−	2.33292i	0.166053	−	0.737733i
$11$	2.20754	−	0.469227i	0.665599	−	0.141477i	0.137292	−	0.990531i	$-0.456160\pi$
$11$	2.20754	−	0.469227i	0.665599	−	0.141477i	0.528307	+	0.849053i	$0.322827\pi$
$12$	−1.27331	+	0.133830i	−0.367573	+	0.0386335i
$13$	−1.49181	−	0.156795i	−0.413753	−	0.0434872i	−0.104634	−	0.994511i	$-0.533367\pi$
$13$	−1.49181	−	0.156795i	−0.413753	−	0.0434872i	−0.309118	+	0.951024i	$0.600034\pi$
$14$	−1.15842	−	0.246230i	−0.309601	−	0.0658078i
$15$	−1.39619	+	3.03762i	−0.360494	+	0.784311i
$16$	1.25718	+	0.913392i	0.314294	+	0.228348i
$17$	−0.816326	+	3.84051i	−0.197988	+	0.931461i	0.761162	+	0.648562i	$0.224629\pi$
$17$	−0.816326	+	3.84051i	−0.197988	+	0.931461i	−0.959150	+	0.282899i	$0.908704\pi$
$18$	0.813305	+	0.0854818i	0.191698	+	0.0201482i
$19$	0.424414	+	4.03803i	0.0973672	+	0.926387i	0.928755	+	0.370695i	$0.120880\pi$
$19$	0.424414	+	4.03803i	0.0973672	+	0.926387i	−0.831388	+	0.555693i	$0.812453\pi$
$20$	−1.75850	+	0.757875i	−0.393213	+	0.169466i
$21$	1.51257	+	0.673437i	0.330069	+	0.146956i
$22$	1.79359	+	1.61496i	0.382395	+	0.344310i
$23$	6.03029	−	1.95936i	1.25740	−	0.408555i	0.396834	−	0.917890i	$-0.370109\pi$
$23$	6.03029	−	1.95936i	1.25740	−	0.408555i	0.860568	+	0.509335i	$0.170109\pi$
$24$	−3.05588	−	3.39390i	−0.623779	−	0.692777i
$25$	−0.641384	+	4.95869i	−0.128277	+	0.991738i
$26$	−0.802074	−	1.38923i	−0.157300	−	0.272451i
$27$	−5.35309	−	1.73932i	−1.03020	−	0.334733i
$28$	0.385729	+	0.866361i	0.0728959	+	0.163727i
$29$	−2.47359	+	1.79717i	−0.459333	+	0.333725i	−0.793270	−	0.608870i	$-0.791623\pi$
$29$	−2.47359	+	1.79717i	−0.459333	+	0.333725i	0.333936	+	0.942596i	$0.391623\pi$
$30$	−3.50570	+	0.701461i	−0.640050	+	0.128069i
$31$	4.35687	+	3.46666i	0.782517	+	0.622630i
$31$	4.35687	+	3.46666i	0.782517	+	0.622630i
$32$		−	4.44743i		−	0.786201i
$33$	−1.98331	−	2.72979i	−0.345250	−	0.475196i
$34$	−3.83585	+	1.70783i	−0.657842	+	0.292890i
$35$	2.45945	+	0.288267i	0.415723	+	0.0487260i
$36$	−0.327428	−	0.567121i	−0.0545713	−	0.0945202i
$37$	0.269000	+	0.155307i	0.0442233	+	0.0255324i	0.521949	−	0.852977i	$-0.325205\pi$
$37$	0.269000	+	0.155307i	0.0442233	+	0.0255324i	−0.477725	+	0.878509i	$0.658539\pi$
$38$	−3.22682	+	2.90544i	−0.523459	+	0.471325i
$39$	0.693024	+	2.13291i	0.110973	+	0.341539i
$40$	−5.87400	−	3.48565i	−0.928761	−	0.551130i
$41$	0.834884	+	0.371714i	0.130387	+	0.0580520i	0.470893	−	0.882190i	$-0.343932\pi$
$41$	0.834884	+	0.371714i	0.130387	+	0.0580520i	−0.340506	+	0.940242i	$0.610598\pi$
$42$	0.368137	+	1.73195i	0.0568047	+	0.267245i
$43$	−6.05390	+	0.636290i	−0.923211	+	0.0970334i	−0.554192	−	0.832389i	$-0.686973\pi$
$43$	−6.05390	+	0.636290i	−0.923211	+	0.0970334i	−0.369019	+	0.929422i	$0.620306\pi$
$44$	0.202019	−	1.92208i	0.0304555	−	0.289764i
$45$	−1.70981	−	0.0204429i	−0.254883	−	0.00304745i
$46$	5.48575	+	3.98563i	0.808829	+	0.587649i
$47$	7.39907	−	10.1839i	1.07926	−	1.48548i	0.218937	−	0.975739i	$-0.429741\pi$
$47$	7.39907	−	10.1839i	1.07926	−	1.48548i	0.860328	−	0.509741i	$-0.170259\pi$
$48$	0.483042	−	2.27253i	0.0697211	−	0.328012i
$49$	−0.603505	+	5.74197i	−0.0862151	+	0.820281i
$50$	−4.69330	+	2.56206i	−0.663733	+	0.362329i
$51$	5.74192	−	1.22048i	0.804029	−	0.170902i
$52$	−0.522473	+	1.17349i	−0.0724540	+	0.162734i
$53$	0.612047	+	0.551090i	0.0840711	+	0.0756980i	0.710095	−	0.704106i	$-0.248652\pi$
$53$	0.612047	+	0.551090i	0.0840711	+	0.0756980i	−0.626024	+	0.779804i	$0.715319\pi$
$54$	−1.86006	−	5.72467i	−0.253122	−	0.779029i
$55$	−4.04694	−	3.01485i	−0.545689	−	0.406522i
$56$	−1.69139	+	2.92958i	−0.226022	+	0.391481i
$57$	5.25719	−	3.03524i	0.696331	−	0.402027i
$58$	−3.10972	−	1.01041i	−0.408327	−	0.132673i
$59$	2.57646	−	1.14711i	0.335427	−	0.149342i	−0.232110	−	0.972689i	$-0.574563\pi$
$59$	2.57646	−	1.14711i	0.335427	−	0.149342i	0.567537	+	0.823348i	$0.307896\pi$
$60$	2.10449	+	1.94095i	0.271688	+	0.250575i
$61$	−6.49054			−0.831028			−0.415514	−	0.909587i	$-0.636398\pi$
$61$	−6.49054			−0.831028			−0.415514	+	0.909587i	$0.636398\pi$
$62$	−0.260596	+	5.94854i	−0.0330957	+	0.755466i
$63$			0.846855i			0.106694i
$64$	6.36215	−	4.62238i	0.795269	−	0.577797i
$65$	1.93894	+	2.73694i	0.240496	+	0.339476i
$66$	1.11507	−	3.43182i	0.137255	−	0.422428i
$67$	0.744351	−	0.429751i	0.0909370	−	0.0525025i	−0.453842	−	0.891082i	$-0.649947\pi$
$67$	0.744351	−	0.429751i	0.0909370	−	0.0525025i	0.544779	+	0.838580i	$0.316614\pi$
$68$	2.91184	+	1.68115i	0.353113	+	0.203870i
$69$	−6.34323	−	7.04487i	−0.763635	−	0.848103i
$70$	1.29658	+	2.30906i	0.154971	+	0.275985i
$71$	7.95269	−	8.83235i	0.943810	−	1.04821i	−0.0549528	−	0.998489i	$-0.517501\pi$
$71$	7.95269	−	8.83235i	0.943810	−	1.04821i	0.998763	−	0.0497187i	$-0.0158325\pi$
$72$	0.950088	−	2.13393i	0.111969	−	0.251486i
$73$	2.37513	+	11.1741i	0.277988	+	1.30783i	0.866432	+	0.499295i	$0.166407\pi$
$73$	2.37513	+	11.1741i	0.277988	+	1.30783i	−0.588444	+	0.808538i	$0.700259\pi$
$74$	0.0347218	+	0.330356i	0.00403633	+	0.0384031i
$75$	7.16278	−	2.13940i	0.827086	−	0.247036i
$76$	3.40104	+	0.722914i	0.390126	+	0.0829239i
$77$	−1.46906	+	2.02199i	−0.167415	+	0.230427i
$78$	−1.40971	+	1.94030i	−0.159618	+	0.219696i
$79$	−0.995344	−	0.211567i	−0.111985	−	0.0238031i	0.151578	−	0.988445i	$-0.451564\pi$
$79$	−0.995344	−	0.211567i	−0.111985	−	0.0238031i	−0.263563	+	0.964642i	$0.584898\pi$
$80$	−0.321870	−	3.45981i	−0.0359861	−	0.386819i
$81$	0.639831	+	6.08759i	0.0710924	+	0.676399i
$82$	0.203199	+	0.955975i	0.0224396	+	0.105570i
$83$	−6.14691	+	13.8062i	−0.674711	+	1.51543i	0.172974	+	0.984926i	$0.444662\pi$
$83$	−6.14691	+	13.8062i	−0.674711	+	1.51543i	−0.847685	+	0.530500i	$0.822004\pi$
$84$	0.948740	−	1.05368i	0.103516	−	0.114966i
$85$	7.65521	−	4.29854i	0.830324	−	0.466242i
$86$	−4.35590	−	4.83772i	−0.469709	−	0.521664i
$87$	3.95884	+	2.28564i	0.424432	+	0.245046i
$88$	5.97026	−	3.44693i	0.636431	−	0.367444i
$89$	−3.28825	+	10.1202i	−0.348554	+	1.07274i	0.611099	+	0.791554i	$0.290728\pi$
$89$	−3.28825	+	10.1202i	−0.348554	+	1.07274i	−0.959654	+	0.281185i	$0.909272\pi$
$90$	−1.05707	−	1.49213i	−0.111425	−	0.157284i
$91$	1.34392	−	0.976412i	0.140881	−	0.102356i
$92$		−	5.42981i		−	0.566097i
$93$	2.08543	−	8.05886i	0.216249	−	0.835665i
$94$	13.4618			1.38848
$95$	6.15530	−	6.67393i	0.631520	−	0.684731i
$96$	−6.07445	+	2.70452i	−0.619970	+	0.276029i
$97$	−16.8955	−	5.48970i	−1.71548	−	0.557394i	−0.724252	−	0.689535i	$-0.757815\pi$
$97$	−16.8955	−	5.48970i	−1.71548	−	0.557394i	−0.991231	+	0.132141i	$0.957815\pi$
$98$	−5.34716	+	3.08719i	−0.540145	+	0.311853i
$99$	0.862913	−	1.49461i	0.0867261	−	0.150214i
$100$	3.86883	+	1.83457i	0.386883	+	0.183457i
$101$	−2.72275	−	8.37975i	−0.270923	−	0.833817i	−0.990269	−	0.139164i	$-0.955558\pi$
$101$	−2.72275	−	8.37975i	−0.270923	−	0.833817i	0.719346	−	0.694652i	$-0.244442\pi$
$102$	4.66522	+	4.20058i	0.461925	+	0.415920i
$103$	1.78353	−	4.00587i	0.175736	−	0.394710i	−0.804105	−	0.594487i	$-0.797355\pi$
$103$	1.78353	−	4.00587i	0.175736	−	0.394710i	0.979841	+	0.199777i	$0.0640218\pi$
$104$	−4.48188	+	0.952653i	−0.439485	+	0.0934154i
$105$	−1.10189	−	3.53450i	−0.107533	−	0.344932i
$106$	−0.0920644	+	0.875935i	−0.00894209	+	0.0850783i
$107$	0.577841	−	2.71853i	0.0558620	−	0.262810i	−0.941350	−	0.337432i	$-0.890442\pi$
$107$	0.577841	−	2.71853i	0.0558620	−	0.262810i	0.997212	+	0.0746221i	$0.0237750\pi$
$108$	−2.83315	+	3.89950i	−0.272620	+	0.375229i
$109$	−2.30524	−	1.67485i	−0.220802	−	0.160422i	0.471886	−	0.881660i	$-0.343574\pi$
$109$	−2.30524	−	1.67485i	−0.220802	−	0.160422i	−0.692688	+	0.721238i	$0.743574\pi$
$110$	0.0645209	−	5.39640i	0.00615182	−	0.514527i
$111$	0.0485427	−	0.461853i	0.00460747	−	0.0438371i
$112$	−1.71147	+	0.179883i	−0.161719	+	0.0169973i
$113$	−1.57358	−	7.40310i	−0.148030	−	0.696426i	−0.988083	−	0.153922i	$-0.950810\pi$
$113$	−1.57358	−	7.40310i	−0.148030	−	0.696426i	0.840053	−	0.542504i	$-0.182524\pi$
$114$	5.93060	+	2.64048i	0.555452	+	0.247303i
$115$	−12.1929	−	7.23532i	−1.13700	−	0.674697i
$116$	0.809104	+	2.49017i	0.0751234	+	0.231206i
$117$	−0.852441	+	0.767542i	−0.0788082	+	0.0709592i
$118$	2.61198	+	1.50803i	0.240452	+	0.138825i
$119$	−2.17406	−	3.76558i	−0.199296	−	0.345190i
$120$	−1.18879	+	10.1426i	−0.108521	+	0.925885i
$121$	−5.39594	+	2.40243i	−0.490540	+	0.218402i
$122$	−4.07986	−	5.61545i	−0.369373	−	0.508399i
$123$		−	1.36636i		−	0.123200i
$124$	3.97633	−	2.63103i	0.357085	−	0.236274i
$125$	9.27492	−	6.24306i	0.829574	−	0.558396i
$126$	−0.732678	+	0.532321i	−0.0652721	+	0.0474230i
$127$	5.87285	+	13.1906i	0.521131	+	1.17048i	0.962035	+	0.272925i	$0.0879912\pi$
$127$	5.87285	+	13.1906i	0.521131	+	1.17048i	−0.440904	+	0.897554i	$0.645342\pi$
$128$	−0.461186	−	0.149849i	−0.0407635	−	0.0132449i
$129$	4.55049	+	7.88168i	0.400648	+	0.693944i
$130$	−1.14914	+	3.39793i	−0.100787	+	0.298018i
$131$	−12.6309	−	14.0280i	−1.10357	−	1.22564i	−0.972163	−	0.234307i	$-0.924718\pi$
$131$	−12.6309	−	14.0280i	−1.10357	−	1.22564i	−0.131405	−	0.991329i	$-0.541949\pi$
$132$	−2.74809	+	0.892908i	−0.239190	+	0.0777177i
$133$	−3.34153	−	3.00872i	−0.289747	−	0.260889i
$134$	0.839699	+	0.373858i	0.0725389	+	0.0322964i
$135$	4.98131	+	11.5581i	0.428723	+	0.994767i
$136$	1.25365	+	11.9277i	0.107500	+	1.02279i
$137$	−13.0085	−	1.36725i	−1.11139	−	0.116812i	−0.469006	−	0.883195i	$-0.655388\pi$
$137$	−13.0085	−	1.36725i	−1.11139	−	0.116812i	−0.642384	+	0.766383i	$0.722054\pi$
$138$	2.10778	−	9.91631i	0.179426	−	0.844132i
$139$	3.93087	+	2.85594i	0.333412	+	0.242238i	0.741877	−	0.670536i	$-0.233936\pi$
$139$	3.93087	+	2.85594i	0.333412	+	0.242238i	−0.408465	+	0.912774i	$0.633936\pi$
$140$	0.885615	−	1.92679i	0.0748481	−	0.162844i
$141$	−18.4090	−	3.91295i	−1.55032	−	0.329530i
$142$	12.6405	+	1.32857i	1.06077	+	0.111491i
$143$	−3.36680	+	0.353865i	−0.281546	+	0.0295916i
$144$	1.16235	−	0.247064i	0.0968623	−	0.0205887i
$145$	6.66995	+	1.50130i	0.553909	+	0.124677i
$146$	−8.17460	+	9.07881i	−0.676534	+	0.751368i
$147$	8.20957	−	2.66745i	0.677114	−	0.220008i
$148$	0.197673	−	0.177986i	0.0162486	−	0.0146303i
$149$	−10.1446	+	17.5710i	−0.831082	+	1.43948i	0.0660990	+	0.997813i	$0.478945\pi$
$149$	−10.1446	+	17.5710i	−0.831082	+	1.43948i	−0.897181	+	0.441663i	$0.854389\pi$
$150$	6.35338	+	4.85226i	0.518751	+	0.396185i
$151$	−2.69097	+	8.28196i	−0.218988	+	0.673977i	0.779858	+	0.625956i	$0.215291\pi$
$151$	−2.69097	+	8.28196i	−0.218988	+	0.673977i	−0.998846	+	0.0480203i	$0.984709\pi$
$152$	5.04460	+	11.3303i	0.409171	+	0.919012i
$153$	1.76480	+	2.42904i	0.142676	+	0.196377i
$154$	−2.67280			−0.215381
$155$	−0.609598	−	12.4350i	−0.0489641	−	0.998801i
$156$	1.92052			0.153764
$157$	7.61884	+	10.4864i	0.608050	+	0.836909i	0.996415	−	0.0845968i	$-0.0269602\pi$
$157$	7.61884	+	10.4864i	0.608050	+	0.836909i	−0.388366	+	0.921505i	$0.626960\pi$
$158$	−0.442617	−	0.994134i	−0.0352127	−	0.0790890i
$159$	0.380506	−	1.17108i	0.0301761	−	0.0928724i
$160$	−7.46942	+	6.56551i	−0.590509	+	0.519049i
$161$	−3.51090	+	6.08105i	−0.276698	+	0.479254i
$162$	−4.86464	+	4.38014i	−0.382202	+	0.344136i
$163$	0.959871	−	0.311881i	0.0751829	−	0.0244284i	−0.271184	−	0.962528i	$-0.587415\pi$
$163$	0.959871	−	0.311881i	0.0751829	−	0.0244284i	0.346367	+	0.938099i	$0.387415\pi$
$164$	0.523672	−	0.581597i	0.0408919	−	0.0454151i
$165$	−1.65681	+	7.36080i	−0.128982	+	0.573038i
$166$	−15.8086	+	3.36023i	−1.22699	+	0.260804i
$167$	−9.90420	+	1.04097i	−0.766410	+	0.0805529i	−0.479662	−	0.877453i	$-0.659241\pi$
$167$	−9.90420	+	1.04097i	−0.766410	+	0.0805529i	−0.286748	+	0.958006i	$0.592574\pi$
$168$	5.02986	+	0.528660i	0.388062	+	0.0407870i
$169$	−10.5150	−	2.23504i	−0.808847	−	0.171926i
$170$	8.53094	+	3.92109i	0.654293	+	0.300734i
$171$	2.51192	+	1.82502i	0.192091	+	0.139562i
$172$	−1.08381	+	5.09891i	−0.0826396	+	0.388789i
$173$	12.8119	+	1.34659i	0.974074	+	0.102379i	0.578173	−	0.815914i	$-0.303766\pi$
$173$	12.8119	+	1.34659i	0.974074	+	0.102379i	0.395901	+	0.918293i	$0.370432\pi$
$174$	0.510996	+	4.86180i	0.0387385	+	0.368572i
$175$	−3.14662	−	4.55618i	−0.237862	−	0.344415i
$176$	3.20386	+	1.42645i	0.241500	+	0.107523i
$177$	−3.13353	−	2.82145i	−0.235531	−	0.212073i
$178$	−10.8227	+	3.51650i	−0.811195	+	0.263573i
$179$	0.0920216	+	0.102200i	0.00687802	+	0.00763881i	0.746574	−	0.665302i	$-0.231697\pi$
$179$	0.0920216	+	0.102200i	0.00687802	+	0.00763881i	−0.739696	+	0.672941i	$0.765031\pi$
$180$	−0.469111	+	1.38712i	−0.0349655	+	0.103390i
$181$	−13.0800	−	22.6552i	−0.972226	−	1.68395i	−0.688800	−	0.724952i	$-0.741862\pi$
$181$	−13.0800	−	22.6552i	−0.972226	−	1.68395i	−0.283427	−	0.958994i	$-0.591471\pi$
$182$	1.68953	+	0.548963i	0.125237	+	0.0406918i
$183$	3.94695	+	8.86499i	0.291767	+	0.655319i
$184$	15.6692	−	11.3844i	1.15515	−	0.839266i
$185$	−0.136274	−	0.681055i	−0.0100190	−	0.0500722i
$186$	8.28319	−	3.26143i	0.607353	−	0.239139i
$187$			8.86113i			0.647990i
$188$	−6.33621	−	8.72104i	−0.462115	−	0.636047i
$189$	5.69436	−	2.53529i	0.414204	−	0.184415i
$190$	9.64325	+	1.13026i	0.699595	+	0.0819980i
$191$	9.87042	+	17.0961i	0.714198	+	1.23703i	0.963268	+	0.268542i	$0.0865419\pi$
$191$	9.87042	+	17.0961i	0.714198	+	1.23703i	−0.249069	+	0.968486i	$0.580125\pi$
$192$	−10.1823	−	5.87874i	−0.734842	−	0.424261i
$193$	16.8962	−	15.2134i	1.21622	−	1.09509i	0.223487	−	0.974707i	$-0.428256\pi$
$193$	16.8962	−	15.2134i	1.21622	−	1.09509i	0.992728	−	0.120378i	$-0.0384107\pi$
$194$	−5.87076	−	18.0683i	−0.421496	−	1.29723i
$195$	2.55913	−	4.31263i	0.183263	−	0.308834i
$196$	4.51678	+	2.01100i	0.322627	+	0.143643i
$197$	−4.75640	−	22.3771i	−0.338879	−	1.59430i	−0.736293	−	0.676662i	$-0.763426\pi$
$197$	−4.75640	−	22.3771i	−0.338879	−	1.59430i	0.397414	−	0.917639i	$-0.369908\pi$
$198$	1.83551	−	0.192920i	0.130444	−	0.0137102i
$199$	0.664323	−	6.32061i	0.0470926	−	0.448056i	−0.945415	−	0.325870i	$-0.894343\pi$
$199$	0.664323	−	6.32061i	0.0470926	−	0.448056i	0.992507	−	0.122186i	$-0.0389905\pi$
$200$	2.81737	+	15.0110i	0.199218	+	1.06144i
$201$	−1.03962	−	0.755325i	−0.0733288	−	0.0532765i
$202$	5.53847	−	7.62305i	0.389685	−	0.536356i
$203$	0.703987	−	3.31200i	0.0494102	−	0.232457i
$204$	0.525460	−	4.99942i	0.0367896	−	0.350029i
$205$	−0.608205	−	1.95092i	−0.0424789	−	0.136258i
$206$	4.58688	−	0.974971i	0.319583	−	0.0679295i
$207$	1.97214	−	4.42950i	0.137073	−	0.307872i
$208$	−1.73225	−	1.55972i	−0.120110	−	0.108147i
$209$	2.83167	+	8.71497i	0.195870	+	0.602827i
$210$	2.36533	−	3.17506i	0.163223	−	0.219100i
$211$	−3.74789	+	6.49154i	−0.258016	+	0.446896i	−0.965710	−	0.259622i	$-0.916402\pi$
$211$	−3.74789	+	6.49154i	−0.258016	+	0.446896i	0.707695	+	0.706519i	$0.249735\pi$
$212$	0.610794	−	0.352642i	0.0419495	−	0.0242195i
$213$	−16.8996	−	5.49102i	−1.15794	−	0.376238i
$214$	2.71522	−	1.20889i	0.185609	−	0.0826384i
$215$	10.0057	+	9.22815i	0.682383	+	0.629354i
$216$	−17.1932			−1.16985
$217$	−6.15446	+	0.375514i	−0.417792	+	0.0254916i
$218$		−	3.04722i		−	0.206384i
$219$	13.8177	−	10.0391i	0.933711	−	0.678381i
$220$	−3.52635	+	2.49818i	−0.237746	+	0.168427i
$221$	1.81997	−	5.60131i	0.122425	−	0.376785i
$222$	0.430097	−	0.248316i	0.0288662	−	0.0166659i
$223$	13.1704	+	7.60393i	0.881955	+	0.509197i	0.871302	−	0.490747i	$-0.163276\pi$
$223$	13.1704	+	7.60393i	0.881955	+	0.509197i	0.0106522	+	0.999943i	$0.496609\pi$
$224$	3.29561	+	3.66015i	0.220197	+	0.244554i
$225$	2.48976	+	2.90178i	0.165984	+	0.193452i
$226$	5.41585	−	6.01491i	0.360257	−	0.400106i
$227$	3.79437	−	8.52230i	0.251841	−	0.565645i	−0.742743	−	0.669576i	$-0.766476\pi$
$227$	3.79437	−	8.52230i	0.251841	−	0.565645i	0.994584	+	0.103932i	$0.0331424\pi$
$228$	−1.08082	−	5.08487i	−0.0715792	−	0.336754i
$229$	−1.69053	−	16.0843i	−0.111713	−	1.06288i	−0.896478	−	0.443088i	$-0.853883\pi$
$229$	−1.69053	−	16.0843i	−0.111713	−	1.06288i	0.784765	−	0.619793i	$-0.212784\pi$
$230$	−1.40449	−	15.0970i	−0.0926095	−	0.995469i
$231$	3.65504	+	0.776904i	0.240484	+	0.0511165i
$232$	−5.48967	+	7.55588i	−0.360414	+	0.496068i
$233$	−5.56752	+	7.66303i	−0.364740	+	0.502022i	−0.951462	−	0.307767i	$-0.900418\pi$
$233$	−5.56752	+	7.66303i	−0.364740	+	0.502022i	0.586722	+	0.809789i	$0.300418\pi$
$234$	−1.19989	−	0.255045i	−0.0784393	−	0.0166728i
$235$	−28.0267	+	2.60735i	−1.82826	+	0.170085i
$236$	−0.252453	−	2.40193i	−0.0164333	−	0.156352i
$237$	0.316312	+	1.48813i	0.0205466	+	0.0966644i
$238$	1.89130	−	4.24793i	0.122595	−	0.275352i
$239$	−17.2910	+	19.2036i	−1.11846	+	1.24218i	−0.151173	+	0.988507i	$0.548305\pi$
$239$	−17.2910	+	19.2036i	−1.11846	+	1.24218i	−0.967290	+	0.253672i	$0.918362\pi$
$240$	−4.52979	+	2.54356i	−0.292397	+	0.164186i
$241$	−7.23652	−	8.03697i	−0.466145	−	0.517707i	0.463533	−	0.886080i	$-0.346582\pi$
$241$	−7.23652	−	8.03697i	−0.466145	−	0.517707i	−0.929678	+	0.368373i	$0.879915\pi$
$242$	−5.47033	−	3.15830i	−0.351646	−	0.203023i
$243$	−6.69792	+	3.86704i	−0.429672	+	0.248071i
$244$	−1.71757	+	5.28615i	−0.109956	+	0.338411i
$245$	10.5345	−	7.46299i	0.673025	−	0.476793i
$246$	1.18214	−	0.858872i	0.0753702	−	0.0547597i
$247$		−	6.09050i		−	0.387530i
$248$	15.9295	+	5.95847i	1.01153	+	0.378363i
$249$	22.5949			1.43190
$250$	11.2314	+	4.10013i	0.710338	+	0.259315i
$251$	19.6084	−	8.73021i	1.23767	−	0.551046i	0.319633	−	0.947541i	$-0.396440\pi$
$251$	19.6084	−	8.73021i	1.23767	−	0.551046i	0.918037	+	0.396495i	$0.129774\pi$
$252$	0.689712	+	0.224101i	0.0434478	+	0.0141170i
$253$	12.3927	−	7.15494i	0.779124	−	0.449828i
$254$	−7.72061	+	13.3725i	−0.484434	+	0.839065i
$255$	−10.5263	−	7.84177i	−0.659181	−	0.491070i
$256$	−5.02050	−	15.4515i	−0.313781	−	0.965720i
$257$	20.5329	+	18.4879i	1.28081	+	1.15325i	0.979877	+	0.199600i	$0.0639643\pi$
$257$	20.5329	+	18.4879i	1.28081	+	1.15325i	0.300932	+	0.953646i	$0.402702\pi$
$258$	−3.95866	+	8.89129i	−0.246455	+	0.553547i
$259$	−0.336467	+	0.0715183i	−0.0209070	+	0.00444393i
$260$	2.74217	−	0.854879i	0.170062	−	0.0530173i
$261$	−0.244397	+	2.32529i	−0.0151278	+	0.143932i
$262$	4.19709	−	19.7458i	0.259297	−	1.21990i
$263$	2.50144	−	3.44294i	0.154245	−	0.212301i	−0.724900	−	0.688854i	$-0.758114\pi$
$263$	2.50144	−	3.44294i	0.154245	−	0.212301i	0.879146	+	0.476553i	$0.158114\pi$
$264$	−8.33849	−	6.05827i	−0.513199	−	0.372861i
$265$	0.0220171	−	1.84147i	0.00135250	−	0.113121i
$266$	0.502634	−	4.78225i	0.0308185	−	0.293218i
$267$	15.8221	−	1.66297i	0.968298	−	0.101772i
$268$	−0.153031	−	0.719953i	−0.00934784	−	0.0439781i
$269$	19.5520	+	8.70511i	1.19211	+	0.530760i	0.904287	−	0.426925i	$-0.140403\pi$
$269$	19.5520	+	8.70511i	1.19211	+	0.530760i	0.287820	+	0.957685i	$0.407070\pi$
$270$	−6.86863	+	11.5750i	−0.418012	+	0.704432i
$271$	−2.34523	−	7.21787i	−0.142462	−	0.438454i	0.854213	−	0.519922i	$-0.174039\pi$
$271$	−2.34523	−	7.21787i	−0.142462	−	0.438454i	−0.996676	+	0.0814680i	$0.974039\pi$
$272$	−4.53416	+	4.08258i	−0.274924	+	0.247543i
$273$	−2.15086	−	1.24180i	−0.130176	−	0.0751572i
$274$	−6.99404	−	12.1140i	−0.422526	−	0.731836i
$275$	0.910873	+	11.2475i	0.0549277	+	0.678248i
$276$	−7.41621	+	3.30191i	−0.446404	+	0.198752i
$277$	12.3425	+	16.9880i	0.741590	+	1.02071i	0.998526	+	0.0542828i	$0.0172872\pi$
$277$	12.3425	+	16.9880i	0.741590	+	1.02071i	−0.256935	+	0.966429i	$0.582713\pi$
$278$			5.19609i			0.311641i
$279$	4.19940	−	0.702103i	0.251411	−	0.0420338i
$280$	7.41711	−	1.48410i	0.443257	−	0.0886921i
$281$	−2.86947	+	2.08479i	−0.171178	+	0.124368i	−0.670076	−	0.742293i	$-0.733738\pi$
$281$	−2.86947	+	2.08479i	−0.171178	+	0.124368i	0.498898	+	0.866661i	$0.333738\pi$
$282$	−8.18625	−	18.3866i	−0.487484	−	1.09491i
$283$	11.5073	+	3.73895i	0.684038	+	0.222257i	0.630362	−	0.776301i	$-0.282906\pi$
$283$	11.5073	+	3.73895i	0.684038	+	0.222257i	0.0536756	+	0.998558i	$0.482906\pi$
$284$	−5.08892	−	8.81427i	−0.301972	−	0.523031i
$285$	−12.8586	−	4.34864i	−0.761676	−	0.257591i
$286$	−2.42248	−	2.69043i	−0.143244	−	0.159089i
$287$	−0.962540	+	0.312748i	−0.0568169	+	0.0184609i
$288$	−2.52741	−	2.27569i	−0.148929	−	0.134096i
$289$	1.44712	+	0.644300i	0.0851247	+	0.0379000i
$290$	2.89375	+	6.71437i	0.169927	+	0.394281i
$291$	2.77631	+	26.4148i	0.162750	+	1.54846i
$292$	9.72918	+	1.02258i	0.569357	+	0.0598418i
$293$	−4.95086	+	23.2919i	−0.289232	+	1.36073i	0.558147	+	0.829742i	$0.311512\pi$
$293$	−4.95086	+	23.2919i	−0.289232	+	1.36073i	−0.847379	+	0.530988i	$0.821821\pi$
$294$	7.46823	+	5.42599i	0.435556	+	0.316450i
$295$	−5.73006	−	2.63372i	−0.333617	−	0.153341i
$296$	0.928077	+	0.197269i	0.0539434	+	0.0114660i
$297$	−12.6333	−	1.32781i	−0.733059	−	0.0770476i
$298$	−21.5788	+	2.26802i	−1.25003	+	0.131383i
$299$	−9.30324	+	1.97747i	−0.538021	+	0.114360i
$300$	0.153057	−	6.39979i	0.00883676	−	0.369492i
$301$	4.51074	−	5.00969i	0.259995	−	0.288754i
$302$	−8.85685	+	2.87777i	−0.509655	+	0.165597i
$303$	−9.78962	+	8.81462i	−0.562399	+	0.506386i
$304$	−3.15474	+	5.46417i	−0.180937	+	0.313392i
$305$	9.58164	+	10.9008i	0.548643	+	0.624178i
$306$	−0.992216	+	3.05373i	−0.0567212	+	0.174570i
$307$	−3.09897	−	6.96040i	−0.176868	−	0.397251i	0.803257	−	0.595632i	$-0.203098\pi$
$307$	−3.09897	−	6.96040i	−0.176868	−	0.397251i	−0.980125	+	0.198381i	$0.936432\pi$
$308$	1.25803	+	1.73153i	0.0716831	+	0.0986633i
$309$	−6.55593			−0.372954
$310$	10.3752	−	8.34386i	0.589274	−	0.473899i
$311$	−1.84290			−0.104502			−0.0522508	−	0.998634i	$-0.516640\pi$
$311$	−1.84290			−0.104502			−0.0522508	+	0.998634i	$0.516640\pi$
$312$	4.02664	+	5.54219i	0.227963	+	0.313765i
$313$	−8.13574	−	18.2732i	−0.459859	−	1.03286i	−0.983498	−	0.180920i	$-0.942092\pi$
$313$	−8.13574	−	18.2732i	−0.459859	−	1.03286i	0.523639	−	0.851941i	$-0.324574\pi$
$314$	−4.28350	+	13.1833i	−0.241732	+	0.743974i
$315$	1.42229	−	1.25017i	0.0801367	−	0.0704390i
$316$	−0.435704	+	0.754661i	−0.0245102	+	0.0424530i
$317$	−3.15694	+	2.84252i	−0.177311	+	0.159652i	−0.753008	−	0.658012i	$-0.771398\pi$
$317$	−3.15694	+	2.84252i	−0.177311	+	0.159652i	0.575696	+	0.817664i	$0.304731\pi$
$318$	1.25237	−	0.406918i	0.0702292	−	0.0228189i
$319$	−4.61726	+	5.12799i	−0.258517	+	0.287112i
$320$	−17.1554	−	3.86141i	−0.959014	−	0.215859i
$321$	−4.06444	+	0.863924i	−0.226855	+	0.0482195i
$322$	−7.46807	+	0.784926i	−0.416180	+	0.0437422i
$323$	−15.8546	−	1.66638i	−0.882172	−	0.0927200i
$324$	5.12729	+	1.08984i	0.284849	+	0.0605466i
$325$	1.73432	−	7.29684i	0.0962027	−	0.404756i
$326$	0.873193	+	0.634412i	0.0483617	+	0.0351368i
$327$	−0.885737	+	4.16707i	−0.0489814	+	0.230439i
$328$	2.77631	+	0.291802i	0.153296	+	0.0161121i
$329$	1.45717	+	13.8640i	0.0803362	+	0.764348i
$330$	−7.40983	+	3.19347i	−0.407897	+	0.175795i
$331$	19.3009	+	8.59332i	1.06087	+	0.472332i	0.861587	−	0.507610i	$-0.169471\pi$
$331$	19.3009	+	8.59332i	1.06087	+	0.472332i	0.199287	+	0.979941i	$0.436137\pi$
$332$	9.61767	+	8.65979i	0.527838	+	0.475268i
$333$	0.225902	−	0.0734002i	0.0123794	−	0.00402230i
$334$	−7.12627	−	7.91452i	−0.389932	−	0.433063i
$335$	−1.82061	−	0.615712i	−0.0994706	−	0.0336399i
$336$	1.28645	+	2.22819i	0.0701815	+	0.121558i
$337$	13.4690	+	4.37634i	0.733703	+	0.238395i	0.651954	−	0.758258i	$-0.273949\pi$
$337$	13.4690	+	4.37634i	0.733703	+	0.238395i	0.0817490	+	0.996653i	$0.473949\pi$
$338$	−4.67590	−	10.5022i	−0.254335	−	0.571246i
$339$	−9.15450	+	6.65114i	−0.497204	+	0.361240i
$340$	−1.47512	−	7.37222i	−0.0799996	−	0.399815i
$341$	11.2446	+	5.60842i	0.608930	+	0.303713i
$342$			3.32043i			0.179548i
$343$	−8.31473	−	11.4442i	−0.448953	−	0.617931i
$344$	−16.9867	+	7.56296i	−0.915861	+	0.407768i
$345$	−2.46762	+	21.0534i	−0.132852	+	1.13348i
$346$	6.88838	+	11.9310i	0.370321	+	0.641415i
$347$	−4.65003	−	2.68470i	−0.249627	−	0.144122i	0.369967	−	0.929045i	$-0.379369\pi$
$347$	−4.65003	−	2.68470i	−0.249627	−	0.144122i	−0.619593	+	0.784923i	$0.712702\pi$
$348$	2.90913	−	2.61939i	0.155946	−	0.140414i
$349$	−1.03866	−	3.19666i	−0.0555981	−	0.171113i	0.919401	−	0.393321i	$-0.128674\pi$
$349$	−1.03866	−	3.19666i	−0.0555981	−	0.171113i	−0.974999	+	0.222207i	$0.928674\pi$
$350$	1.96397	−	5.58633i	0.104979	−	0.298602i
$351$	7.71306	+	3.43407i	0.411693	+	0.183297i
$352$	−2.08685	−	9.81788i	−0.111230	−	0.523295i
$353$	11.6662	−	1.22616i	0.620927	−	0.0652621i	0.211159	−	0.977452i	$-0.432276\pi$
$353$	11.6662	−	1.22616i	0.620927	−	0.0652621i	0.409768	+	0.912190i	$0.365610\pi$
$354$	0.471348	−	4.48458i	0.0250519	−	0.238353i
$355$	−26.5740	−	0.317726i	−1.41040	−	0.0168631i
$356$	7.37213	+	5.35617i	0.390722	+	0.283876i
$357$	−3.82109	+	5.25928i	−0.202234	+	0.278351i
$358$	−0.0305776	+	0.143856i	−0.00161608	+	0.00760305i
$359$	−0.221228	+	2.10485i	−0.0116760	+	0.111090i	−0.998808	−	0.0488205i	$-0.984454\pi$
$359$	−0.221228	+	2.10485i	−0.0116760	+	0.111090i	0.987132	+	0.159910i	$0.0511204\pi$
$360$	−4.98649	+	1.55455i	−0.262811	+	0.0819320i
$361$	2.45925	−	0.522730i	0.129434	−	0.0275121i
$362$	11.3788	−	25.5572i	0.598056	−	1.34326i
$363$	6.56263	+	5.90902i	0.344449	+	0.310143i
$364$	−0.439592	−	1.35292i	−0.0230409	−	0.0709125i
$365$	15.2606	−	20.4848i	0.798775	−	1.07222i
$366$	−5.18877	+	8.98721i	−0.271221	+	0.469769i
$367$	−15.0366	+	8.68141i	−0.784906	+	0.453166i	−0.838166	−	0.545415i	$-0.816372\pi$
$367$	−15.0366	+	8.68141i	−0.784906	+	0.453166i	0.0532599	+	0.998581i	$0.483039\pi$
$368$	9.37080	+	3.04476i	0.488487	+	0.158719i
$369$	0.638439	−	0.284251i	0.0332358	−	0.0147975i
$370$	0.503572	−	0.546002i	0.0261795	−	0.0283853i
$371$	−0.912069			−0.0473522
$372$	−6.01159	−	3.83105i	−0.311687	−	0.198631i
$373$			31.9840i			1.65607i	0.560679	+	0.828033i	$0.310540\pi$
$373$			31.9840i			1.65607i	−0.560679	+	0.828033i	$0.689460\pi$
$374$	−7.66643	+	5.56998i	−0.396421	+	0.288017i
$375$	−14.1671	−	8.87154i	−0.731588	−	0.458125i
$376$	11.8822	−	36.5698i	0.612780	−	1.88594i
$377$	3.97190	−	2.29318i	0.204563	−	0.118105i
$378$	5.77286	+	3.33297i	0.296924	+	0.171429i
$379$	−11.8569	−	13.1684i	−0.609046	−	0.676414i	0.357202	−	0.934027i	$-0.383731\pi$
$379$	−11.8569	−	13.1684i	−0.609046	−	0.676414i	−0.966248	+	0.257613i	$0.917064\pi$
$380$	−3.80665	−	6.77922i	−0.195277	−	0.347767i
$381$	14.4449	−	16.0427i	0.740034	−	0.821891i
$382$	−8.58667	+	19.2860i	−0.439332	+	0.986757i
$383$	−7.39518	−	34.7916i	−0.377876	−	1.77777i	−0.597176	−	0.802110i	$-0.703711\pi$
$383$	−7.39518	−	34.7916i	−0.377876	−	1.77777i	0.219300	−	0.975657i	$-0.429623\pi$
$384$	0.0757831	+	0.721028i	0.00386729	+	0.0367948i
$385$	5.56461	−	0.517681i	0.283599	−	0.0263835i
$386$	23.7830	+	5.05523i	1.21052	+	0.257304i
$387$	−2.73610	+	3.76592i	−0.139084	+	0.191433i
$388$	−8.94205	+	12.3077i	−0.453964	+	0.624828i
$389$	−4.94531	−	1.05116i	−0.250737	−	0.0532958i	0.0808284	−	0.996728i	$-0.474243\pi$
$389$	−4.94531	−	1.05116i	−0.250737	−	0.0532958i	−0.331565	+	0.943432i	$0.607577\pi$
$390$	5.33981	−	0.496768i	0.270392	−	0.0251548i
$391$	2.60226	+	24.7589i	0.131602	+	1.25211i
$392$	3.66677	+	17.2508i	0.185200	+	0.871296i
$393$	−11.4790	+	25.7823i	−0.579039	+	1.30054i
$394$	16.3703	−	18.1810i	0.824723	−	0.915948i
$395$	1.11405	+	1.98400i	0.0560539	+	0.0998257i
$396$	−0.988919	−	1.09831i	−0.0496950	−	0.0551919i
$397$	−27.1915	−	15.6990i	−1.36470	−	0.787911i	−0.374456	−	0.927245i	$-0.622171\pi$
$397$	−27.1915	−	15.6990i	−1.36470	−	0.787911i	−0.990245	+	0.139334i	$0.955504\pi$
$398$	5.88602	−	3.39829i	0.295039	−	0.170341i
$399$	−2.07741	+	6.39360i	−0.104000	+	0.320080i
$400$	−5.33556	+	5.64812i	−0.266778	+	0.282406i
$401$	−17.9106	+	13.0128i	−0.894411	+	0.649828i	−0.937024	−	0.349264i	$-0.886432\pi$
$401$	−17.9106	+	13.0128i	−0.894411	+	0.649828i	0.0426133	+	0.999092i	$0.486432\pi$
$402$		−	1.37424i		−	0.0685406i
$403$	−5.95605	−	5.85472i	−0.296692	−	0.291644i
$404$	−7.54532			−0.375394
$405$	9.27950	−	10.0614i	0.461102	−	0.499954i
$406$	3.30797	−	1.47280i	0.164172	−	0.0730940i
$407$	0.666703	+	0.216625i	0.0330473	+	0.0107377i
$408$	15.5289	−	8.96562i	0.768796	−	0.443864i
$409$	7.91968	−	13.7173i	0.391603	−	0.678277i	−0.601058	−	0.799205i	$-0.705254\pi$
$409$	7.91968	−	13.7173i	0.391603	−	0.678277i	0.992661	+	0.120929i	$0.0385873\pi$
$410$	1.30558	−	1.75253i	0.0644780	−	0.0865511i
$411$	6.04313	+	18.5989i	0.298086	+	0.917414i
$412$	−2.79057	−	2.51264i	−0.137481	−	0.123789i
$413$	−1.27035	+	2.85325i	−0.0625098	+	0.140399i
$414$	5.07195	−	1.07808i	0.249273	−	0.0529846i
$415$	32.2618	−	10.0577i	1.58367	−	0.493712i
$416$	−0.697335	+	6.63470i	−0.0341897	+	0.325293i
$417$	1.51035	−	7.10563i	0.0739621	−	0.347964i
$418$	−5.76002	+	7.92799i	−0.281732	+	0.387771i
$419$	−7.02730	−	5.10563i	−0.343306	−	0.249427i	0.402749	−	0.915310i	$-0.368055\pi$
$419$	−7.02730	−	5.10563i	−0.343306	−	0.249427i	−0.746055	+	0.665884i	$0.768055\pi$
$420$	−3.17023	−	0.0379041i	−0.154691	−	0.00184953i
$421$	0.412407	−	3.92379i	0.0200995	−	0.191234i	−0.979865	−	0.199661i	$-0.936016\pi$
$421$	0.412407	−	3.92379i	0.0200995	−	0.191234i	0.999964	+	0.00842740i	$0.00268256\pi$
$422$	−7.97219	+	0.837911i	−0.388080	+	0.0407889i
$423$	−2.00138	−	9.41576i	−0.0973105	−	0.457810i
$424$	2.29826	+	1.02325i	0.111613	+	0.0496935i
$425$	−18.5203	−	6.51115i	−0.898369	−	0.315837i
$426$	−5.87218	−	18.0727i	−0.284508	−	0.875625i
$427$	5.34159	−	4.80959i	0.258498	−	0.232752i
$428$	−2.06116	−	1.19001i	−0.0996301	−	0.0575214i
$429$	2.53070	+	4.38330i	0.122183	+	0.211628i
$430$	−1.69452	+	14.4574i	−0.0817168	+	0.697196i
$431$	33.1698	−	14.7681i	1.59773	−	0.711356i	0.601564	−	0.798825i	$-0.294545\pi$
$431$	33.1698	−	14.7681i	1.59773	−	0.711356i	0.996167	+	0.0874690i	$0.0278779\pi$
$432$	−5.14109	−	7.07611i	−0.247351	−	0.340449i
$433$			14.2705i			0.685796i	0.939373	+	0.342898i	$0.111409\pi$
$433$			14.2705i			0.685796i	−0.939373	+	0.342898i	$0.888591\pi$
$434$	−4.19350	−	5.08864i	−0.201294	−	0.244263i
$435$	−2.00552	−	10.0230i	−0.0961573	−	0.480566i
$436$	−1.97410	+	1.43427i	−0.0945421	+	0.0686889i
$437$	10.4713	+	23.5189i	0.500910	+	1.12506i
$438$	17.3712	+	5.64424i	0.830027	+	0.269692i
$439$	−2.33247	−	4.03995i	−0.111323	−	0.192817i	0.804981	−	0.593300i	$-0.202175\pi$
$439$	−2.33247	−	4.03995i	−0.111323	−	0.192817i	−0.916304	+	0.400484i	$0.868842\pi$
$440$	−14.6027	−	4.93847i	−0.696155	−	0.235432i
$441$	2.95427	+	3.28105i	0.140680	+	0.156240i
$442$	5.99012	−	1.94631i	0.284921	−	0.0925764i
$443$	10.4596	+	9.41789i	0.496952	+	0.447458i	0.879096	−	0.476645i	$-0.158147\pi$
$443$	10.4596	+	9.41789i	0.496952	+	0.447458i	−0.382144	+	0.924103i	$0.624814\pi$
$444$	−0.363306	−	0.161754i	−0.0172417	−	0.00767651i
$445$	21.8511	−	9.41733i	1.03584	−	0.446424i
$446$	1.70000	+	16.1744i	0.0804973	+	0.765880i
$447$	30.1682	+	3.17080i	1.42691	+	0.149974i
$448$	−1.81068	+	8.51858i	−0.0855466	+	0.402465i
$449$	4.68315	+	3.40251i	0.221012	+	0.160574i	0.692782	−	0.721147i	$-0.256385\pi$
$449$	4.68315	+	3.40251i	0.221012	+	0.160574i	−0.471770	+	0.881721i	$0.656385\pi$
$450$	−0.945518	+	3.97810i	−0.0445722	+	0.187529i
$451$	2.01746	+	0.428824i	0.0949985	+	0.0201925i
$452$	−6.44579	−	0.677480i	−0.303185	−	0.0318660i
$453$	12.9482	−	1.36091i	0.608359	−	0.0639411i
$454$	9.75836	−	2.07420i	0.457983	−	0.0973472i
$455$	−3.62383	−	0.815669i	−0.169888	−	0.0382392i
$456$	12.4077	−	13.7802i	0.581044	−	0.645315i
$457$	−12.9297	+	4.20112i	−0.604826	+	0.196520i	−0.595392	−	0.803436i	$-0.703003\pi$
$457$	−12.9297	+	4.20112i	−0.604826	+	0.196520i	−0.00943451	+	0.999955i	$0.503003\pi$
$458$	12.8531	−	11.5730i	0.600585	−	0.540770i
$459$	11.0498	−	19.1388i	0.515759	−	0.893321i
$460$	−9.11932	+	8.01574i	−0.425190	+	0.373736i
$461$	12.6842	−	39.0380i	0.590763	−	1.81818i	0.0159827	−	0.999872i	$-0.494912\pi$
$461$	12.6842	−	39.0380i	0.590763	−	1.81818i	0.574780	−	0.818308i	$-0.305088\pi$
$462$	1.62535	+	3.65060i	0.0756183	+	0.169841i
$463$	−22.6749	−	31.2093i	−1.05379	−	1.45042i	−0.885477	−	0.464684i	$-0.846168\pi$
$463$	−22.6749	−	31.2093i	−1.05379	−	1.45042i	−0.168313	−	0.985734i	$-0.553832\pi$
$464$	−4.75125			−0.220571
$465$	−16.6134	+	8.39442i	−0.770428	+	0.389282i
$466$	−10.1295			−0.469241
$467$	5.31184	+	7.31111i	0.245802	+	0.338318i	0.914036	−	0.405634i	$-0.132949\pi$
$467$	5.31184	+	7.31111i	0.245802	+	0.338318i	−0.668233	+	0.743952i	$0.732949\pi$
$468$	0.399537	+	0.897374i	0.0184686	+	0.0414811i
$469$	−0.294135	+	0.905253i	−0.0135819	+	0.0418007i
$470$	−19.8730	−	22.6090i	−0.916673	−	1.04288i
$471$	9.68964	−	16.7830i	0.446475	−	0.773318i
$472$	6.40213	−	5.76451i	0.294682	−	0.265333i
$473$	−13.0657	+	4.24529i	−0.600760	+	0.195199i
$474$	−1.08866	+	1.20908i	−0.0500039	+	0.0555350i
$475$	−20.2956	−	0.485388i	−0.931224	−	0.0222711i
$476$	−3.64215	+	0.774163i	−0.166938	+	0.0354837i
$477$	0.626352	−	0.0658322i	0.0286787	−	0.00301425i
$478$	−27.4834	−	2.88862i	−1.25706	−	0.132122i
$479$	−6.35432	−	1.35065i	−0.290336	−	0.0617128i	0.0604412	−	0.998172i	$-0.480749\pi$
$479$	−6.35432	−	1.35065i	−0.290336	−	0.0617128i	−0.350777	+	0.936459i	$0.614083\pi$
$480$	13.5096	+	6.20944i	0.616626	+	0.283421i
$481$	−0.376945	−	0.273866i	−0.0171872	−	0.0124872i
$482$	2.40461	−	11.3128i	0.109527	−	0.515283i
$483$	10.4407	+	1.09736i	0.475069	+	0.0499318i
$484$	0.528718	+	5.03041i	0.0240326	+	0.228655i
$485$	15.7221	+	36.4801i	0.713905	+	1.65648i
$486$	−7.55589	−	3.36410i	−0.342742	−	0.152599i
$487$	8.32955	+	7.49996i	0.377448	+	0.339856i	0.835918	−	0.548854i	$-0.184936\pi$
$487$	8.32955	+	7.49996i	0.377448	+	0.339856i	−0.458470	+	0.888710i	$0.651602\pi$
$488$	−18.8558	+	6.12662i	−0.853562	+	0.277339i
$489$	−1.00968	−	1.12137i	−0.0456594	−	0.0507099i
$490$	13.0786	+	4.42306i	0.590833	+	0.199814i
$491$	−11.9366	−	20.6749i	−0.538693	−	0.933044i	−0.998975	−	0.0452708i	$-0.985585\pi$
$491$	−11.9366	−	20.6749i	−0.538693	−	0.933044i	0.460282	−	0.887773i	$-0.347748\pi$
$492$	−1.11281	−	0.361575i	−0.0501695	−	0.0163011i
$493$	−4.88278	−	10.9669i	−0.219909	−	0.493925i
$494$	5.26935	−	3.82841i	0.237079	−	0.172248i
$495$	−3.78406	+	0.757159i	−0.170081	+	0.0340318i
$496$	2.31094	+	8.33773i	0.103764	+	0.374375i
$497$			13.1619i			0.590393i
$498$	14.2029	+	19.5486i	0.636446	+	0.875993i
$499$	−18.2027	+	8.10436i	−0.814864	+	0.362801i	−0.771477	−	0.636258i	$-0.780482\pi$
$499$	−18.2027	+	8.10436i	−0.814864	+	0.362801i	−0.0433872	+	0.999058i	$0.513815\pi$
$500$	−2.63020	−	9.20595i	−0.117626	−	0.411703i
$501$	7.44462	+	12.8945i	0.332601	+	0.576082i
$502$	19.8787	+	11.4770i	0.887230	+	0.512243i
$503$	14.8844	−	13.4020i	0.663663	−	0.597565i	−0.266888	−	0.963728i	$-0.585995\pi$
$503$	14.8844	−	13.4020i	0.663663	−	0.597565i	0.930551	+	0.366163i	$0.119329\pi$
$504$	0.799373	+	2.46022i	0.0356069	+	0.109587i
$505$	−10.0543	+	16.9434i	−0.447409	+	0.753972i
$506$	13.9802	+	6.22437i	0.621494	+	0.276707i
$507$	3.34158	+	15.7209i	0.148405	+	0.698190i
$508$	12.2971	−	1.29248i	0.545595	−	0.0573444i
$509$	3.67188	−	34.9356i	0.162753	−	1.54849i	−0.542816	−	0.839852i	$-0.682642\pi$
$509$	3.67188	−	34.9356i	0.162753	−	1.54849i	0.705569	−	0.708641i	$-0.250691\pi$
$510$	0.167822	−	14.0363i	0.00743127	−	0.621538i
$511$	−10.2349	−	7.43608i	−0.452765	−	0.328953i
$512$	9.64239	−	13.2716i	0.426137	−	0.586528i
$513$	4.75152	−	22.3541i	0.209785	−	0.986959i
$514$	−3.08858	+	29.3858i	−0.136231	+	1.29615i
$515$	−9.36076	+	2.91824i	−0.412484	+	0.128593i
$516$	7.62334	−	1.62039i	0.335599	−	0.0713337i
$517$	11.5552	−	25.9533i	0.508195	−	1.14143i
$518$	−0.273374	−	0.246147i	−0.0120114	−	0.0108151i
$519$	−5.95183	−	18.3179i	−0.261256	−	0.804065i
$520$	8.21634	+	6.12093i	0.360310	+	0.268421i
$521$	−12.4125	+	21.4991i	−0.543801	+	0.941891i	0.454881	+	0.890552i	$0.349682\pi$
$521$	−12.4125	+	21.4991i	−0.543801	+	0.941891i	−0.998681	+	0.0513381i	$0.983651\pi$
$522$	−2.16540	+	1.25020i	−0.0947771	+	0.0547196i
$523$	12.0495	+	3.91512i	0.526888	+	0.171196i	0.560369	−	0.828243i	$-0.310659\pi$
$523$	12.0495	+	3.91512i	0.526888	+	0.171196i	−0.0334808	+	0.999439i	$0.510659\pi$
$524$	−14.7675	+	6.57490i	−0.645120	+	0.287226i
$525$	−4.30950	+	7.06841i	−0.188082	+	0.308491i
$526$	4.55111			0.198438
$527$	−16.8704	+	13.9027i	−0.734885	+	0.605611i
$528$		−	5.24337i		−	0.228188i
$529$	13.9179	−	10.1120i	0.605127	−	0.439650i
$530$	1.60703	−	1.13848i	0.0698051	−	0.0494522i
$531$	0.666452	−	2.05113i	0.0289215	−	0.0890113i
$532$	−3.33468	+	1.92528i	−0.144577	+	0.0834715i
$533$	−1.18720	−	0.685432i	−0.0514235	−	0.0296893i
$534$	11.3843	+	12.6436i	0.492648	+	0.547141i
$535$	−5.41878	+	3.04274i	−0.234274	+	0.131549i
$536$	1.75678	−	1.95110i	0.0758811	−	0.0842745i
$537$	0.0836295	−	0.187835i	0.00360888	−	0.00810568i
$538$	4.75868	+	22.3878i	0.205161	+	0.965207i
$539$	1.36203	+	12.9588i	0.0586666	+	0.558176i
$540$	10.7316	−	0.998372i	0.461815	−	0.0429631i
$541$	−3.22768	−	0.686064i	−0.138769	−	0.0294962i	0.138004	−	0.990432i	$-0.455931\pi$
$541$	−3.22768	−	0.686064i	−0.138769	−	0.0294962i	−0.276772	+	0.960936i	$0.589265\pi$
$542$	4.77054	−	6.56608i	0.204912	−	0.282037i
$543$	−22.9892	+	31.6419i	−0.986559	+	1.35788i
$544$	17.0804	+	3.63055i	0.732316	+	0.155659i
$545$	0.590201	+	6.34413i	0.0252814	+	0.271753i
$546$	−0.277628	−	2.64145i	−0.0118814	−	0.113044i
$547$	−8.16320	−	38.4048i	−0.349033	−	1.64207i	−0.706186	−	0.708026i	$-0.749586\pi$
$547$	−8.16320	−	38.4048i	−0.349033	−	1.64207i	0.357153	−	0.934046i	$-0.383748\pi$
$548$	−4.55594	+	10.2328i	−0.194620	+	0.437124i
$549$	−3.32112	+	3.68848i	−0.141742	+	0.157420i
$550$	−9.15846	+	7.85807i	−0.390518	+	0.335069i
$551$	−8.30683	−	9.22567i	−0.353883	−	0.393027i
$552$	−25.0777	−	14.4786i	−1.06738	−	0.616251i
$553$	0.975923	−	0.563449i	0.0415005	−	0.0239603i
$554$	−6.93927	+	21.3569i	−0.294821	+	0.907366i
$555$	−0.847339	+	0.600283i	−0.0359676	+	0.0254806i
$556$	3.36621	−	2.44569i	0.142759	−	0.103721i
$557$			3.07805i			0.130421i	0.997872	+	0.0652106i	$0.0207719\pi$
$557$			3.07805i			0.130421i	−0.997872	+	0.0652106i	$0.979228\pi$
$558$	3.24713	+	3.19188i	0.137462	+	0.135123i
$559$	9.13101			0.386201
$560$	2.82867	+	2.60885i	0.119533	+	0.110244i
$561$	12.1028	−	5.38853i	0.510982	−	0.227504i
$562$	−3.60742	−	1.17212i	−0.152170	−	0.0494429i
$563$	9.14839	−	5.28182i	0.385559	−	0.222602i	−0.294675	−	0.955597i	$-0.595212\pi$
$563$	9.14839	−	5.28182i	0.385559	−	0.222602i	0.680234	+	0.732995i	$0.261878\pi$
$564$	−8.05839	+	13.9575i	−0.339319	+	0.587719i
$565$	−10.1105	+	13.5716i	−0.425350	+	0.570963i
$566$	3.99849	+	12.3061i	0.168069	+	0.517263i
$567$	−5.03757	−	4.53584i	−0.211558	−	0.190488i
$568$	14.7664	−	33.1658i	0.619584	−	1.39161i
$569$	24.0508	−	5.11215i	1.00826	−	0.214312i	0.325960	−	0.945384i	$-0.394313\pi$
$569$	24.0508	−	5.11215i	1.00826	−	0.214312i	0.682301	+	0.731071i	$0.260979\pi$
$570$	−4.32039	−	13.8584i	−0.180961	−	0.580464i
$571$	−4.24094	+	40.3499i	−0.177478	+	1.68859i	0.436847	+	0.899536i	$0.356095\pi$
$571$	−4.24094	+	40.3499i	−0.177478	+	1.68859i	−0.614325	+	0.789053i	$0.710572\pi$
$572$	−0.602746	+	2.83569i	−0.0252021	+	0.118566i
$573$	17.3481	−	23.8776i	0.724727	−	0.997501i
$574$	−0.875621	−	0.636176i	−0.0365477	−	0.0265535i
$575$	5.84813	+	31.1591i	0.243884	+	1.29942i
$576$	0.628599	−	5.98072i	0.0261916	−	0.249197i
$577$	31.0392	−	3.26235i	1.29218	−	0.135814i	0.566624	−	0.823977i	$-0.308249\pi$
$577$	31.0392	−	3.26235i	1.29218	−	0.135814i	0.725556	+	0.688163i	$0.241583\pi$
$578$	0.352208	+	1.65701i	0.0146499	+	0.0689225i
$579$	−31.0537	−	13.8260i	−1.29055	−	0.574589i
$580$	2.98777	−	5.03498i	0.124061	−	0.209066i
$581$	−5.17181	−	15.9172i	−0.214563	−	0.660356i
$582$	−21.1083	+	19.0060i	−0.874967	+	0.787824i
$583$	1.60970	+	0.929364i	0.0666672	+	0.0384903i
$584$	17.4477	+	30.2202i	0.721989	+	1.25052i
$585$	2.54749	+	0.298586i	0.105326	+	0.0123450i
$586$	−23.2636	+	10.3576i	−0.961012	+	0.427870i
$587$	−11.7645	−	16.1924i	−0.485573	−	0.668334i	0.493991	−	0.869467i	$-0.335538\pi$
$587$	−11.7645	−	16.1924i	−0.485573	−	0.668334i	−0.979564	+	0.201133i	$0.935538\pi$
$588$		−	7.39208i		−	0.304844i
$589$	−12.1493	+	19.0645i	−0.500605	+	0.785537i
$590$	−1.32321	−	6.61303i	−0.0544758	−	0.272254i
$591$	−27.6710	+	20.1041i	−1.13823	+	0.826974i
$592$	0.196324	+	0.440951i	0.00806887	+	0.0181230i
$593$	−43.1447	−	14.0186i	−1.77174	−	0.575673i	−0.773435	−	0.633876i	$-0.781463\pi$
$593$	−43.1447	−	14.0186i	−1.77174	−	0.575673i	−0.998305	+	0.0582029i	$0.981463\pi$
$594$	−6.79233	−	11.7647i	−0.278693	−	0.482710i
$595$	−3.11481	+	9.21024i	−0.127695	+	0.377583i
$596$	11.6260	+	12.9120i	0.476220	+	0.528895i
$597$	−9.03688	+	2.93626i	−0.369855	+	0.120173i
$598$	−7.55874	−	6.80592i	−0.309100	−	0.278315i
$599$	−28.5958	−	12.7317i	−1.16839	−	0.520201i	−0.271494	−	0.962440i	$-0.587518\pi$
$599$	−28.5958	−	12.7317i	−1.16839	−	0.520201i	−0.896897	+	0.442239i	$0.854184\pi$
$600$	18.7893	−	12.9764i	0.767070	−	0.529758i
$601$	−1.56459	−	14.8860i	−0.0638208	−	0.607214i	−0.978957	−	0.204068i	$-0.934583\pi$
$601$	−1.56459	−	14.8860i	−0.0638208	−	0.607214i	0.915136	−	0.403146i	$-0.132083\pi$
$602$	7.16964	+	0.753560i	0.292213	+	0.0307128i
$603$	0.136653	−	0.642902i	0.00556494	−	0.0261810i
$604$	6.03305	+	4.38327i	0.245481	+	0.178353i
$605$	12.0006	+	5.51585i	0.487894	+	0.224251i
$606$	−13.7798	−	2.92899i	−0.559766	−	0.118982i
$607$	−19.5879	−	2.05877i	−0.795046	−	0.0835627i	−0.301708	−	0.953400i	$-0.597557\pi$
$607$	−19.5879	−	2.05877i	−0.795046	−	0.0835627i	−0.493338	+	0.869838i	$0.664224\pi$
$608$	17.9588	−	1.88755i	0.728327	−	0.0765503i
$609$	−4.95174	+	1.05252i	−0.200655	+	0.0426504i
$610$	−3.40821	+	15.1419i	−0.137994	+	0.613077i
$611$	−12.6348	+	14.0323i	−0.511148	+	0.567687i
$612$	2.44532	−	0.794534i	0.0988464	−	0.0321171i
$613$	4.35719	−	3.92323i	0.175985	−	0.158458i	−0.576431	−	0.817146i	$-0.695555\pi$
$613$	4.35719	−	3.92323i	0.175985	−	0.158458i	0.752416	+	0.658688i	$0.228888\pi$
$614$	4.07399	−	7.05636i	0.164413	−	0.284772i
$615$	−2.29478	+	2.01708i	−0.0925346	+	0.0813365i
$616$	−2.35918	+	7.26081i	−0.0950540	+	0.292546i
$617$	−6.40806	−	14.3927i	−0.257979	−	0.579430i	0.737400	−	0.675456i	$-0.236053\pi$
$617$	−6.40806	−	14.3927i	−0.257979	−	0.579430i	−0.995379	+	0.0960264i	$0.969387\pi$
$618$	−4.12097	−	5.67203i	−0.165770	−	0.228162i
$619$	33.2763			1.33749			0.668743	−	0.743493i	$-0.266832\pi$
$619$	33.2763			1.33749			0.668743	+	0.743493i	$0.266832\pi$
$620$	−10.2888	−	2.79415i	−0.413210	−	0.112216i
$621$	−35.6887			−1.43214
$622$	−1.15842	−	1.59443i	−0.0464486	−	0.0639310i
$623$	−4.79305	−	10.7654i	−0.192030	−	0.431306i
$624$	−1.07693	+	3.31444i	−0.0431116	+	0.132684i
$625$	−24.1773	−	6.36085i	−0.967090	−	0.254434i
$626$	10.6955	−	18.5251i	0.427477	−	0.740412i
$627$	10.1812	−	9.16723i	0.406599	−	0.366104i
$628$	10.5567	−	3.43009i	0.421259	−	0.136875i
$629$	−0.816052	+	0.906317i	−0.0325381	+	0.0361372i
$630$	1.97564	+	0.444687i	0.0787115	+	0.0177168i
$631$	−34.0146	+	7.23002i	−1.35410	+	0.287822i	−0.827105	−	0.562047i	$-0.810014\pi$
$631$	−34.0146	+	7.23002i	−1.35410	+	0.287822i	−0.526993	+	0.849870i	$0.676681\pi$
$632$	−3.09130	+	0.324909i	−0.122965	+	0.0129242i
$633$	11.1455	+	1.17144i	0.442994	+	0.0465605i
$634$	−4.44368	−	0.944534i	−0.176481	−	0.0375122i
$635$	13.4838	−	29.3360i	0.535087	−	1.16417i
$636$	−0.853079	−	0.619798i	−0.0338268	−	0.0245766i
$637$	1.80063	−	8.47128i	0.0713434	−	0.335644i
$638$	−7.33895	−	0.771355i	−0.290552	−	0.0305382i
$639$	−0.950015	−	9.03879i	−0.0375820	−	0.357569i
$640$	0.429156	+	0.995772i	0.0169639	+	0.0393614i
$641$	−3.79861	−	1.69125i	−0.150036	−	0.0668004i	0.330345	−	0.943860i	$-0.392835\pi$
$641$	−3.79861	−	1.69125i	−0.150036	−	0.0668004i	−0.480381	+	0.877060i	$0.659502\pi$
$642$	−3.30230	−	2.97340i	−0.130331	−	0.117351i
$643$	25.3298	−	8.23015i	0.998910	−	0.324566i	0.236480	−	0.971636i	$-0.424006\pi$
$643$	25.3298	−	8.23015i	0.998910	−	0.324566i	0.762430	+	0.647071i	$0.224006\pi$
$644$	4.02357	+	4.46863i	0.158551	+	0.176089i
$645$	6.51957	−	19.2778i	0.256708	−	0.759064i
$646$	−8.52425	−	14.7644i	−0.335382	−	0.580899i
$647$	4.34317	+	1.41118i	0.170748	+	0.0554793i	0.393143	−	0.919477i	$-0.371388\pi$
$647$	4.34317	+	1.41118i	0.170748	+	0.0554793i	−0.222396	+	0.974957i	$0.571388\pi$
$648$	7.60505	+	17.0812i	0.298755	+	0.671014i
$649$	5.14939	−	3.74125i	0.202131	−	0.146857i
$650$	7.40321	−	3.08621i	0.290378	−	0.121051i
$651$	4.25547	+	8.17762i	0.166785	+	0.320506i
$652$		−	0.864289i		−	0.0338482i
$653$	−15.8797	−	21.8566i	−0.621422	−	0.855315i	0.376033	−	0.926606i	$-0.377288\pi$
$653$	−15.8797	−	21.8566i	−0.621422	−	0.855315i	−0.997456	+	0.0712916i	$0.977288\pi$
$654$	−4.16200	+	1.85304i	−0.162747	+	0.0724597i
$655$	−4.91363	+	41.9224i	−0.191991	+	1.63804i
$656$	0.710076	+	1.22989i	0.0277238	+	0.0480190i
$657$	7.56542	+	4.36789i	0.295155	+	0.170408i
$658$	−11.0788	+	9.97543i	−0.431898	+	0.388883i
$659$	3.87135	+	11.9148i	0.150806	+	0.464135i	0.997712	−	0.0676089i	$-0.0215370\pi$
$659$	3.87135	+	11.9148i	0.150806	+	0.464135i	−0.846905	+	0.531744i	$0.821537\pi$
$660$	5.55649	+	3.29724i	0.216286	+	0.128345i
$661$	31.6728	+	14.1016i	1.23193	+	0.548490i	0.916338	−	0.400405i	$-0.131131\pi$
$661$	31.6728	+	14.1016i	1.23193	+	0.548490i	0.315591	+	0.948895i	$0.397797\pi$
$662$	4.69756	+	22.1003i	0.182576	+	0.858953i
$663$	−8.75719	+	0.920418i	−0.340101	+	0.0357461i
$664$	−4.82543	+	45.9109i	−0.187263	+	1.78169i
$665$	−0.120205	+	10.0537i	−0.00466134	+	0.389865i
$666$	0.205503	+	0.149307i	0.00796308	+	0.00578552i
$667$	−11.3951	+	15.6841i	−0.441222	+	0.607290i
$668$	−1.77311	+	8.34184i	−0.0686038	+	0.322756i
$669$	2.37668	−	22.6126i	0.0918876	−	0.874253i
$670$	−0.611712	−	1.96217i	−0.0236325	−	0.0758054i
$671$	−14.3281	+	3.04554i	−0.553131	+	0.117572i
$672$	2.99506	−	6.72702i	0.115537	−	0.259501i
$673$	21.9972	+	19.8064i	0.847930	+	0.763480i	0.973520	−	0.228603i	$-0.0734157\pi$
$673$	21.9972	+	19.8064i	0.847930	+	0.763480i	−0.125590	+	0.992082i	$0.540082\pi$
$674$	4.68013	+	14.4039i	0.180272	+	0.554819i
$675$	12.0582	−	25.4288i	0.464119	−	0.978753i
$676$	−4.60286	+	7.97239i	−0.177033	+	0.306631i
$677$	−3.80181	+	2.19497i	−0.146115	+	0.0843597i	−0.571275	−	0.820758i	$-0.693551\pi$
$677$	−3.80181	+	2.19497i	−0.146115	+	0.0843597i	0.425160	+	0.905118i	$0.360218\pi$
$678$	−11.5088	−	3.73943i	−0.441992	−	0.143612i
$679$	17.9727	−	8.00194i	0.689727	−	0.307086i
$680$	18.1818	−	19.7138i	0.697240	−	0.755988i
$681$	−13.9474			−0.534466
$682$	2.21594	+	13.2539i	0.0848528	+	0.507519i
$683$			33.6943i			1.28928i	0.764487	+	0.644639i	$0.222992\pi$
$683$			33.6943i			1.28928i	−0.764487	+	0.644639i	$0.777008\pi$
$684$	2.15109	−	1.56286i	0.0822489	−	0.0597573i
$685$	16.9075	+	23.8660i	0.646001	+	0.911874i
$686$	4.67475	−	14.3874i	0.178483	−	0.549313i
$687$	−20.9405	+	12.0900i	−0.798928	+	0.461262i
$688$	−8.19200	−	4.72965i	−0.312317	−	0.180316i
$689$	−0.826647	−	0.918085i	−0.0314928	−	0.0349762i
$690$	−19.7660	+	11.0989i	−0.752477	+	0.422529i
$691$	−19.2634	+	21.3941i	−0.732813	+	0.813871i	−0.988233	−	0.152959i	$-0.951120\pi$
$691$	−19.2634	+	21.3941i	−0.732813	+	0.813871i	0.255419	+	0.966830i	$0.417786\pi$
$692$	4.48711	−	10.0782i	0.170574	−	0.383116i
$693$	0.397368	+	1.86947i	0.0150947	+	0.0710152i
$694$	−0.600214	−	5.71065i	−0.0227838	−	0.216773i
$695$	−1.00640	−	10.8179i	−0.0381751	−	0.410348i
$696$	13.6584	+	2.90318i	0.517720	+	0.110045i
$697$	−2.10911	+	2.90294i	−0.0798883	+	0.109957i
$698$	2.11278	−	2.90800i	0.0799700	−	0.110069i
$699$	13.8521	+	2.94435i	0.523933	+	0.111365i
$700$	−4.54342	+	1.35704i	−0.171725	+	0.0512913i
$701$	−2.93935	−	27.9660i	−0.111018	−	1.05626i	−0.898214	−	0.439559i	$-0.855135\pi$
$701$	−2.93935	−	27.9660i	−0.111018	−	1.05626i	0.787196	−	0.616703i	$-0.211532\pi$
$702$	1.87725	+	8.83175i	0.0708521	+	0.333333i
$703$	−0.512968	+	1.15214i	−0.0193470	+	0.0434540i
$704$	11.8758	−	13.1894i	0.447585	−	0.497093i
$705$	20.6045	+	36.6942i	0.776009	+	1.38199i
$706$	8.39403	+	9.32252i	0.315914	+	0.350858i
$707$	8.45029	+	4.87878i	0.317806	+	0.183485i
$708$	−3.12712	+	1.80544i	−0.117524	+	0.0678527i
$709$	8.85350	−	27.2483i	0.332500	−	1.02333i	−0.635440	−	0.772150i	$-0.719181\pi$
$709$	8.85350	−	27.2483i	0.332500	−	1.02333i	0.967940	−	0.251180i	$-0.0808186\pi$
$710$	−16.4292	−	23.1909i	−0.616575	−	0.870338i
$711$	−0.629534	+	0.457383i	−0.0236094	+	0.0171532i
$712$			32.5043i			1.21815i
$713$	33.0656	+	12.3683i	1.23832	+	0.463195i
$714$	−6.95208			−0.260175
$715$	5.56454	+	5.13211i	0.208102	+	0.191930i
$716$	0.107587	−	0.0479010i	0.00402073	−	0.00179014i
$717$	36.7438	+	11.9388i	1.37222	+	0.445862i
$718$	−1.96012	+	1.13168i	−0.0731511	+	0.0422338i
$719$	8.60706	−	14.9079i	0.320989	−	0.555969i	−0.659703	−	0.751526i	$-0.729318\pi$
$719$	8.60706	−	14.9079i	0.320989	−	0.555969i	0.980692	+	0.195557i	$0.0626514\pi$
$720$	−2.13086	−	1.58742i	−0.0794123	−	0.0591598i
$721$	1.50060	+	4.61838i	0.0558853	+	0.171997i
$722$	1.99810	+	1.79910i	0.0743617	+	0.0669556i
$723$	−6.57658	+	14.7712i	−0.244586	+	0.549348i
$724$	−21.9126	+	4.65766i	−0.814375	+	0.173101i
$725$	−7.32507	−	13.4184i	−0.272046	−	0.498348i
$726$	−0.987154	+	9.39214i	−0.0366367	+	0.348575i
$727$	1.26732	−	5.96228i	0.0470023	−	0.221129i	−0.948378	−	0.317144i	$-0.897276\pi$
$727$	1.26732	−	5.96228i	0.0470023	−	0.221129i	0.995380	+	0.0960149i	$0.0306096\pi$
$728$	2.98257	−	4.10516i	0.110541	−	0.152147i
$729$	24.2111	+	17.5904i	0.896706	+	0.651495i
$730$	27.3155	+	0.326592i	1.01099	+	0.0120877i
$731$	2.49827	−	23.7695i	0.0924020	−	0.879147i
$732$	8.26447	−	0.868631i	0.305464	−	0.0321055i
$733$	6.13938	+	28.8835i	0.226763	+	1.06684i	0.933282	+	0.359144i	$0.116931\pi$
$733$	6.13938	+	28.8835i	0.226763	+	1.06684i	−0.706519	+	0.707694i	$0.749736\pi$
$734$	−16.9628	−	7.55231i	−0.626107	−	0.278761i
$735$	−16.5993	−	9.85009i	−0.612275	−	0.363326i
$736$	−8.71411	−	26.8193i	−0.321206	−	0.988572i
$737$	1.44154	−	1.29796i	0.0530996	−	0.0478111i
$738$	0.647241	+	0.373684i	0.0238253	+	0.0137555i
$739$	−12.8473	−	22.2523i	−0.472597	−	0.818563i	0.526911	−	0.849921i	$-0.323350\pi$
$739$	−12.8473	−	22.2523i	−0.472597	−	0.818563i	−0.999508	+	0.0313579i	$0.990017\pi$
$740$	−0.590740	−	0.0692394i	−0.0217160	−	0.00254529i
$741$	−8.31862	+	3.70369i	−0.305592	+	0.136058i
$742$	−0.573314	−	0.789099i	−0.0210470	−	0.0289687i
$743$		−	11.8127i		−	0.433367i	−0.976242	−	0.216684i	$-0.930476\pi$
$743$		−	11.8127i		−	0.433367i	0.976242	−	0.216684i	$-0.0695240\pi$
$744$	−1.54859	−	25.3805i	−0.0567740	−	0.930493i
$745$	44.4864	−	8.90137i	1.62986	−	0.326121i
$746$	−27.6717	+	20.1047i	−1.01313	+	0.736084i
$747$	4.70056	+	10.5576i	0.171985	+	0.386284i
$748$	7.21686	+	2.34490i	0.263874	+	0.0857380i
$749$	1.53892	+	2.66548i	0.0562308	+	0.0973947i
$750$	−1.22983	−	17.8336i	−0.0449072	−	0.651190i
$751$	16.7842	+	18.6407i	0.612463	+	0.680209i	0.966983	−	0.254839i	$-0.0820226\pi$
$751$	16.7842	+	18.6407i	0.612463	+	0.680209i	−0.354521	+	0.935048i	$0.615356\pi$
$752$	18.6039	−	6.04476i	0.678413	−	0.220430i
$753$	−23.8480	−	21.4729i	−0.869070	−	0.782515i
$754$	4.48068	+	1.99493i	0.163177	+	0.0726509i
$755$	17.8820	−	7.70677i	0.650794	−	0.280478i
$756$	−0.557958	−	5.30862i	−0.0202927	−	0.193073i
$757$	17.5503	+	1.84461i	0.637875	+	0.0670434i	0.417945	−	0.908472i	$-0.362750\pi$
$757$	17.5503	+	1.84461i	0.637875	+	0.0670434i	0.219930	+	0.975516i	$0.429417\pi$
$758$	3.93989	−	18.5357i	0.143103	−	0.673247i
$759$	−17.3086	−	12.5754i	−0.628262	−	0.456459i
$760$	11.5821	−	25.1988i	0.420129	−	0.914055i
$761$	−32.4111	−	6.88920i	−1.17490	−	0.249733i	−0.421212	−	0.906962i	$-0.638395\pi$
$761$	−32.4111	−	6.88920i	−1.17490	−	0.249733i	−0.753691	+	0.657229i	$0.771728\pi$
$762$	22.9596	+	2.41315i	0.831737	+	0.0874191i
$763$	3.13826	−	0.329844i	0.113613	−	0.0119412i
$764$	16.5357	−	3.51477i	0.598241	−	0.127160i
$765$	1.47427	−	6.54984i	0.0533024	−	0.236810i
$766$	25.4523	−	28.2676i	0.919629	−	1.02135i
$767$	−4.02344	+	1.30730i	−0.145278	+	0.0472037i
$768$	−18.0512	+	16.2534i	−0.651366	+	0.586493i
$769$	14.3961	−	24.9348i	0.519138	−	0.899173i	−0.480615	−	0.876932i	$-0.659587\pi$
$769$	14.3961	−	24.9348i	0.519138	−	0.899173i	0.999753	−	0.0222410i	$-0.00708012\pi$
$770$	3.94572	+	4.48895i	0.142194	+	0.161770i
$771$	12.7652	−	39.2872i	0.459727	−	1.41490i
$772$	−7.91920	−	17.7868i	−0.285018	−	0.640162i
$773$	−17.2598	−	23.7561i	−0.620793	−	0.854448i	0.376618	−	0.926369i	$-0.377087\pi$
$773$	−17.2598	−	23.7561i	−0.620793	−	0.854448i	−0.997410	+	0.0719209i	$0.977087\pi$
$774$	−4.97806			−0.178932
$775$	−19.9845	+	19.3809i	−0.717865	+	0.696183i
$776$	−54.2655			−1.94802
$777$	0.302290	+	0.416067i	0.0108446	+	0.0149263i
$778$	−2.19912	−	4.93930i	−0.0788421	−	0.177082i
$779$	−1.14666	+	3.52905i	−0.0410833	+	0.126441i
$780$	−2.83516	−	3.22549i	−0.101515	−	0.115491i
$781$	13.4115	−	23.2294i	0.479901	−	0.831213i
$782$	−19.7850	+	17.8145i	−0.707511	+	0.637045i
$783$	16.3672	−	5.31802i	0.584915	−	0.190051i
$784$	−6.00338	+	6.66743i	−0.214407	+	0.238123i
$785$	6.36458	−	28.2764i	0.227162	−	1.00923i
$786$	−29.5217	+	6.27504i	−1.05300	+	0.223823i
$787$	−30.7587	+	3.23287i	−1.09643	+	0.115239i	−0.635427	−	0.772161i	$-0.719176\pi$
$787$	−30.7587	+	3.23287i	−1.09643	+	0.115239i	−0.461001	+	0.887400i	$0.652509\pi$
$788$	−19.4835	−	2.04779i	−0.694070	−	0.0729497i
$789$	−6.22362	−	1.32287i	−0.221567	−	0.0470955i
$790$	−1.01623	+	2.21096i	−0.0361557	+	0.0786624i
$791$	6.78084	+	4.92657i	0.241099	+	0.175169i
$792$	1.09606	−	5.15655i	0.0389468	−	0.183230i
$793$	9.68263	+	1.01768i	0.343840	+	0.0361391i
$794$	−3.50980	−	33.3936i	−0.124558	−	1.18509i
$795$	−2.52853	+	1.08974i	−0.0896778	+	0.0386492i
$796$	−4.97196	−	2.21366i	−0.176226	−	0.0784610i
$797$	−2.79964	−	2.52081i	−0.0991684	−	0.0892916i	0.618055	−	0.786135i	$-0.287921\pi$
$797$	−2.79964	−	2.52081i	−0.0991684	−	0.0892916i	−0.717224	+	0.696843i	$0.754587\pi$
$798$	−6.83741	+	2.22161i	−0.242042	+	0.0786441i
$799$	33.0715	+	36.7296i	1.16999	+	1.29940i
$800$	22.0534	+	2.85251i	0.779706	+	0.100851i
$801$	4.06861	+	7.04703i	0.143757	+	0.248995i
$802$	−22.5167	−	7.31611i	−0.795091	−	0.258341i
$803$	10.4864	+	23.5529i	0.370057	+	0.831163i
$804$	−0.890277	+	0.646824i	−0.0313977	+	0.0228117i
$805$	15.3960	−	3.08062i	0.542639	−	0.108578i
$806$	1.32146	−	8.83321i	0.0465465	−	0.311137i
$807$		−	31.9984i		−	1.12640i
$808$	−15.8198	−	21.7741i	−0.556539	−	0.766011i
$809$	30.7452	−	13.6886i	1.08094	−	0.481267i	0.212554	−	0.977149i	$-0.431822\pi$
$809$	30.7452	−	13.6886i	1.08094	−	0.481267i	0.868390	+	0.495882i	$0.165155\pi$
$810$	14.5378	+	1.70395i	0.510807	+	0.0598705i
$811$	22.2135	+	38.4750i	0.780022	+	1.35104i	0.931928	+	0.362643i	$0.118126\pi$
$811$	22.2135	+	38.4750i	0.780022	+	1.35104i	−0.151906	+	0.988395i	$0.548541\pi$
$812$	−2.51113	−	1.44980i	−0.0881233	−	0.0508780i
$813$	−8.43226	+	7.59244i	−0.295732	+	0.266278i
$814$	0.231662	+	0.712982i	0.00811975	+	0.0249900i
$815$	−1.94081	−	1.15168i	−0.0679836	−	0.0403416i
$816$	8.33338	+	3.71026i	0.291727	+	0.129885i
$817$	−5.13872	−	24.1758i	−0.179781	−	0.845803i
$818$	16.8461	−	1.77059i	0.589009	−	0.0619073i
$819$	0.132783	−	1.26334i	0.00463981	−	0.0441448i
$820$	−1.74986	−	0.0209218i	−0.0611077	−	0.000730620i
$821$	−38.2844	−	27.8152i	−1.33613	−	0.970758i	−0.999577	−	0.0290946i	$-0.990738\pi$
$821$	−38.2844	−	27.8152i	−1.33613	−	0.970758i	−0.336557	−	0.941663i	$-0.609262\pi$
$822$	−12.2926	+	16.9193i	−0.428754	+	0.590130i
$823$	1.39993	−	6.58615i	0.0487985	−	0.229579i	−0.946990	−	0.321264i	$-0.895892\pi$
$823$	1.39993	−	6.58615i	0.0487985	−	0.229579i	0.995788	+	0.0916857i	$0.0292255\pi$
$824$	1.40010	−	13.3211i	0.0487748	−	0.464061i
$825$	14.8083	−	8.08378i	0.515558	−	0.281441i
$826$	−3.26708	+	0.694440i	−0.113676	+	0.0241627i
$827$	−12.4559	+	27.9765i	−0.433135	+	0.972838i	0.556712	+	0.830705i	$0.312063\pi$
$827$	−12.4559	+	27.9765i	−0.433135	+	0.972838i	−0.989848	+	0.142133i	$0.954604\pi$
$828$	−3.08568	−	2.77836i	−0.107235	−	0.0965546i
$829$	14.2312	+	43.7992i	0.494271	+	1.52121i	0.818090	+	0.575090i	$0.195033\pi$
$829$	14.2312	+	43.7992i	0.494271	+	1.52121i	−0.323820	+	0.946119i	$0.604967\pi$
$830$	28.9809	+	21.5899i	1.00594	+	0.749397i
$831$	15.6972	−	27.1884i	0.544531	−	0.943155i
$832$	−10.2159	+	5.89813i	−0.354172	+	0.204481i
$833$	−21.5595	−	7.00509i	−0.746991	−	0.242712i
$834$	7.09700	−	3.15979i	0.245749	−	0.109414i
$835$	16.3694	+	15.0973i	0.566485	+	0.522463i
$836$	7.84715			0.271399
$837$	−17.2931	−	26.1353i	−0.597736	−	0.903369i
$838$		−	9.28917i		−	0.320889i
$839$	−8.08942	+	5.87731i	−0.279278	+	0.202907i	−0.718602	−	0.695421i	$-0.755218\pi$
$839$	−8.08942	+	5.87731i	−0.279278	+	0.202907i	0.439324	+	0.898328i	$0.355218\pi$
$840$	−6.53745	−	9.22805i	−0.225563	−	0.318398i
$841$	−6.07267	+	18.6898i	−0.209402	+	0.644474i
$842$	3.65399	−	2.10963i	0.125925	−	0.0727028i
$843$	4.59243	+	2.65144i	0.158172	+	0.0913204i
$844$	4.29517	+	4.77028i	0.147846	+	0.164200i
$845$	11.7690	+	20.9593i	0.404868	+	0.721024i
$846$	6.88824	−	7.65016i	0.236822	−	0.263018i
$847$	2.66052	−	5.97562i	0.0914165	−	0.205325i
$848$	0.266090	+	1.25186i	0.00913757	+	0.0429889i
$849$	−1.89090	−	17.9907i	−0.0648956	−	0.617441i
$850$	−6.00835	−	20.1162i	−0.206085	−	0.689978i
$851$	1.92645	+	0.409480i	0.0660379	+	0.0140368i
$852$	−8.94421	+	12.3106i	−0.306424	+	0.421756i
$853$	6.85771	−	9.43882i	0.234803	−	0.323179i	−0.675313	−	0.737531i	$-0.735992\pi$
$853$	6.85771	−	9.43882i	0.234803	−	0.323179i	0.910117	+	0.414352i	$0.135992\pi$
$854$	7.51878	+	1.59817i	0.257287	+	0.0546881i
$855$	−0.643117	−	6.91292i	−0.0219941	−	0.236417i
$856$	−0.887404	−	8.44309i	−0.0303309	−	0.288579i
$857$	−0.0910185	−	0.428208i	−0.00310913	−	0.0146273i	0.976566	−	0.215220i	$-0.0690467\pi$
$857$	−0.0910185	−	0.428208i	−0.00310913	−	0.0146273i	−0.979675	+	0.200592i	$0.935713\pi$
$858$	−2.20155	+	4.94477i	−0.0751598	+	0.168812i
$859$	−8.13302	+	9.03264i	−0.277495	+	0.308190i	−0.865741	−	0.500493i	$-0.833152\pi$
$859$	−8.13302	+	9.03264i	−0.277495	+	0.308190i	0.588246	+	0.808682i	$0.299819\pi$
$860$	10.1636	−	5.70702i	0.346574	−	0.194608i
$861$	1.01249	+	1.12448i	0.0345056	+	0.0383223i
$862$	33.6271	+	19.4146i	1.14534	+	0.661264i
$863$	−6.24840	+	3.60752i	−0.212698	+	0.122801i	−0.602565	−	0.798070i	$-0.705854\pi$
$863$	−6.24840	+	3.60752i	−0.212698	+	0.122801i	0.389867	+	0.920871i	$0.372521\pi$
$864$	−7.73552	+	23.8075i	−0.263168	+	0.809947i
$865$	−16.6520	−	23.5055i	−0.566186	−	0.799209i
$866$	−12.3465	+	8.97024i	−0.419550	+	0.304821i
$867$		−	2.36833i		−	0.0804327i
$868$	−1.32281	+	5.11181i	−0.0448990	+	0.173506i
$869$	−2.29653			−0.0779046
$870$	7.41100	−	8.03544i	0.251256	−	0.272427i
$871$	−1.17781	+	0.524395i	−0.0399086	+	0.0177685i
$872$	−8.27795	−	2.68967i	−0.280327	−	0.0910836i
$873$	−11.7649	+	6.79249i	−0.398183	+	0.229891i
$874$	−13.7659	+	23.8432i	−0.465637	+	0.806507i
$875$	−3.00688	+	12.0108i	−0.101651	+	0.406038i
$876$	−4.51972	−	13.9103i	−0.152707	−	0.469985i
$877$	−36.7790	−	33.1160i	−1.24194	−	1.11825i	−0.988552	−	0.150882i	$-0.951788\pi$
$877$	−36.7790	−	33.1160i	−1.24194	−	1.11825i	−0.253388	−	0.967365i	$-0.581545\pi$
$878$	2.02911	−	4.55745i	0.0684791	−	0.153807i
$879$	34.8236	−	7.40198i	1.17457	−	0.249663i
$880$	−2.33398	−	7.48664i	−0.0786784	−	0.252375i
$881$	−1.85815	+	17.6791i	−0.0626026	+	0.595624i	0.917583	+	0.397544i	$0.130137\pi$
$881$	−1.85815	+	17.6791i	−0.0626026	+	0.595624i	−0.980186	+	0.198080i	$0.936529\pi$
$882$	−0.981668	+	4.61838i	−0.0330545	+	0.155509i
$883$	−27.8905	+	38.3880i	−0.938591	+	1.29186i	0.0178221	+	0.999841i	$0.494327\pi$
$883$	−27.8905	+	38.3880i	−0.938591	+	1.29186i	−0.956413	+	0.292018i	$0.905673\pi$
$884$	−4.08031	−	2.96452i	−0.137236	−	0.0997076i
$885$	−0.112723	+	9.42790i	−0.00378913	+	0.316915i
$886$	−1.57334	+	14.9694i	−0.0528575	+	0.502906i
$887$	−11.5590	+	1.21490i	−0.388114	+	0.0407924i	−0.296576	−	0.955009i	$-0.595845\pi$
$887$	−11.5590	+	1.21490i	−0.388114	+	0.0407924i	−0.0915379	+	0.995802i	$0.529178\pi$
$888$	−0.294935	−	1.38756i	−0.00989737	−	0.0465635i
$889$	−14.6077	−	6.50377i	−0.489927	−	0.218129i
$890$	21.8829	+	12.9854i	0.733517	+	0.435271i
$891$	4.26892	+	13.1384i	0.143014	+	0.440152i
$892$	9.67819	−	8.71428i	0.324050	−	0.291776i
$893$	44.2633	+	25.5554i	1.48122	+	0.855180i
$894$	16.2200	+	28.0939i	0.542478	+	0.939599i
$895$	0.0357979	−	0.305422i	0.00119659	−	0.0102091i
$896$	0.490588	−	0.218424i	0.0163894	−	0.00729702i
$897$	8.35827	+	11.5042i	0.279074	+	0.384113i
$898$			6.19051i			0.206580i
$899$	−17.0072	−	0.745059i	−0.567223	−	0.0248491i
$900$	3.02219	−	1.25987i	0.100740	−	0.0419957i
$901$	−2.61610	+	1.90071i	−0.0871548	+	0.0633217i
$902$	0.897139	+	2.01501i	0.0298715	+	0.0670924i
$903$	−9.58542	−	3.11449i	−0.318983	−	0.103644i
$904$	−11.5595	−	20.0216i	−0.384462	−	0.665907i
$905$	−18.7399	+	55.4123i	−0.622935	+	1.84197i
$906$	9.31648	+	10.3470i	0.309519	+	0.343756i
$907$	40.4901	−	13.1560i	1.34445	−	0.436839i	0.453629	−	0.891191i	$-0.350129\pi$
$907$	40.4901	−	13.1560i	1.34445	−	0.436839i	0.890822	+	0.454352i	$0.150129\pi$
$908$	−5.93680	−	5.34552i	−0.197020	−	0.177397i
$909$	−6.15528	−	2.74051i	−0.204158	−	0.0908969i
$910$	−1.57219	−	3.64796i	−0.0521177	−	0.120929i
$911$	4.38553	+	41.7255i	0.145299	+	1.38243i	0.787700	+	0.616059i	$0.211272\pi$
$911$	4.38553	+	41.7255i	0.145299	+	1.38243i	−0.642401	+	0.766369i	$0.722061\pi$
$912$	9.38157	+	0.986043i	0.310655	+	0.0326511i
$913$	−7.09132	+	33.3620i	−0.234688	+	1.10412i
$914$	−11.7621	−	8.54569i	−0.389057	−	0.282666i
$915$	9.06201	−	19.7158i	0.299581	−	0.651784i
$916$	−13.5471	−	2.87952i	−0.447607	−	0.0951419i
$917$	20.7900	+	2.18512i	0.686546	+	0.0721589i
$918$	23.5041	−	2.47038i	0.775751	−	0.0815347i
$919$	−28.5373	+	6.06579i	−0.941359	+	0.200092i	−0.652938	−	0.757412i	$-0.726464\pi$
$919$	−28.5373	+	6.06579i	−0.941359	+	0.200092i	−0.288421	+	0.957504i	$0.593130\pi$
$920$	−42.2516	−	9.51019i	−1.39299	−	0.313542i
$921$	−7.62224	+	8.46536i	−0.251161	+	0.278943i
$922$	41.7478	−	13.5647i	1.37489	−	0.446729i
$923$	−13.2487	+	11.9292i	−0.436088	+	0.392655i
$924$	1.59997	−	2.77122i	0.0526350	−	0.0911666i
$925$	−0.942653	+	1.23428i	−0.0309942	+	0.0405828i
$926$	12.7484	−	39.2354i	0.418937	−	1.28936i
$927$	−1.36387	−	3.06330i	−0.0447954	−	0.100612i
$928$	7.99276	+	11.0011i	0.262375	+	0.361129i
$929$	12.8691			0.422222			0.211111	−	0.977462i	$-0.432292\pi$
$929$	12.8691			0.422222			0.211111	+	0.977462i	$0.432292\pi$
$930$	−17.7056	−	9.09687i	−0.580589	−	0.298298i
$931$	−23.4424			−0.768293
$932$	4.76776	+	6.56225i	0.156173	+	0.214954i
$933$	1.12069	+	2.51710i	0.0366896	+	0.0824062i
$934$	−2.98644	+	9.19133i	−0.0977194	+	0.300750i
$935$	14.8822	−	13.0812i	0.486700	−	0.427802i
$936$	−1.75194	+	3.03445i	−0.0572639	+	0.0991840i
$937$	−19.6152	+	17.6616i	−0.640801	+	0.576980i	−0.924147	−	0.382038i	$-0.875222\pi$
$937$	−19.6152	+	17.6616i	−0.640801	+	0.576980i	0.283345	+	0.959018i	$0.408556\pi$
$938$	−0.968091	+	0.314552i	−0.0316093	+	0.0102705i
$939$	−20.0107	+	22.2241i	−0.653024	+	0.725257i
$940$	−5.29310	+	23.5160i	−0.172642	+	0.767008i
$941$	−38.9288	+	8.27458i	−1.26904	+	0.269744i	−0.792752	−	0.609544i	$-0.791353\pi$
$941$	−38.9288	+	8.27458i	−1.26904	+	0.269744i	−0.476292	+	0.879287i	$0.658019\pi$
$942$	20.6110	−	2.16630i	0.671541	−	0.0705819i
$943$	5.76292	+	0.605707i	0.187666	+	0.0197245i
$944$	4.28683	+	0.911194i	0.139524	+	0.0296568i
$945$	−12.6643	−	5.82091i	−0.411969	−	0.189354i
$946$	−11.8858	−	8.63555i	−0.386441	−	0.280766i
$947$	−8.33199	+	39.1989i	−0.270753	+	1.27379i	0.607008	+	0.794696i	$0.292370\pi$
$947$	−8.33199	+	39.1989i	−0.270753	+	1.27379i	−0.877761	+	0.479099i	$0.840964\pi$
$948$	1.29570	+	0.136183i	0.0420823	+	0.00442302i
$949$	−1.79119	−	17.0420i	−0.0581445	−	0.553208i
$950$	−12.3376	−	17.8643i	−0.400283	−	0.579595i
$951$	5.80217	+	2.58329i	0.188148	+	0.0837690i
$952$	−9.87035	−	8.88730i	−0.319900	−	0.288039i
$953$	−14.3067	+	4.64854i	−0.463440	+	0.150581i	−0.531425	−	0.847106i	$-0.678343\pi$
$953$	−14.3067	+	4.64854i	−0.463440	+	0.150581i	0.0679845	+	0.997686i	$0.478343\pi$
$954$	0.450673	+	0.500523i	0.0145911	+	0.0162050i
$955$	14.1415	−	41.8153i	0.457609	−	1.35311i
$956$	11.0645	+	19.1643i	0.357852	+	0.619818i
$957$	9.81178	+	3.18804i	0.317170	+	0.103055i
$958$	−2.82569	−	6.34659i	−0.0912938	−	0.205049i
$959$	11.7189	−	8.51427i	0.378422	−	0.274940i
$960$	5.15827	+	25.7795i	0.166482	+	0.832030i
$961$	6.96459	+	30.2075i	0.224664	+	0.974436i
$962$		−	0.498272i		−	0.0160649i
$963$	−1.24922	−	1.71941i	−0.0402557	−	0.0554072i
$964$	−8.46061	+	3.76691i	−0.272498	+	0.121324i
$965$	−50.4938	−	5.91826i	−1.62545	−	0.190516i
$966$	5.61348	+	9.72283i	0.180611	+	0.312827i
$967$	−29.9473	−	17.2901i	−0.963039	−	0.556011i	−0.0659318	−	0.997824i	$-0.521002\pi$
$967$	−29.9473	−	17.2901i	−0.963039	−	0.556011i	−0.897107	+	0.441813i	$0.854335\pi$
$968$	−13.4081	+	12.0727i	−0.430953	+	0.388032i
$969$	7.36529	+	22.6680i	0.236607	+	0.728202i
$970$	−21.6789	+	36.5332i	−0.696069	+	1.17301i
$971$	35.0703	+	15.6143i	1.12546	+	0.501087i	0.883140	−	0.469110i	$-0.155425\pi$
$971$	35.0703	+	15.6143i	1.12546	+	0.501087i	0.242320	+	0.970196i	$0.422092\pi$
$972$	1.37702	+	6.47838i	0.0441680	+	0.207794i
$973$	−5.35133	+	0.562447i	−0.171556	+	0.0180312i
$974$	−1.25294	+	11.9209i	−0.0401467	+	0.381970i
$975$	−11.0209	+	2.06848i	−0.352952	+	0.0662443i
$976$	−8.15975	−	5.92841i	−0.261187	−	0.189764i
$977$	19.0987	−	26.2871i	0.611022	−	0.841000i	−0.385639	−	0.922650i	$-0.626019\pi$
$977$	19.0987	−	26.2871i	0.611022	−	0.841000i	0.996661	+	0.0816500i	$0.0260190\pi$
$978$	0.335505	−	1.57843i	0.0107283	−	0.0504725i
$979$	−2.51028	+	23.8837i	−0.0802288	+	0.763326i
$980$	−3.29043	−	10.5546i	−0.105109	−	0.337156i
$981$	−2.13135	+	0.453033i	−0.0680489	+	0.0144642i
$982$	10.3842	−	23.3232i	0.331372	−	0.744274i
$983$	20.4624	+	18.4244i	0.652650	+	0.587649i	0.927493	−	0.373840i	$-0.121959\pi$
$983$	20.4624	+	18.4244i	0.652650	+	0.587649i	−0.274843	+	0.961489i	$0.588626\pi$
$984$	−1.28975	−	3.96943i	−0.0411156	−	0.126541i
$985$	−30.5605	+	41.0225i	−0.973739	+	1.30708i
$986$	6.41904	−	11.1181i	0.204424	−	0.354073i
$987$	18.0498	−	10.4211i	0.574532	−	0.331706i
$988$	−4.96035	−	1.61171i	−0.157810	−	0.0512755i
$989$	−35.2600	+	15.6988i	−1.12120	+	0.499192i
$990$	−3.03368	−	2.79793i	−0.0964167	−	0.0889241i
$991$	41.2705			1.31100			0.655500	−	0.755195i	$-0.272458\pi$
$991$	41.2705			1.31100			0.655500	+	0.755195i	$0.272458\pi$
$992$	15.4177	−	19.3769i	0.489512	−	0.615216i
$993$		−	31.5875i		−	1.00240i
$994$	−11.3874	+	8.27340i	−0.361185	+	0.262416i
$995$	−11.5961	+	8.21507i	−0.367622	+	0.260435i
$996$	5.97924	−	18.4022i	0.189460	−	0.583097i
$997$	−27.8318	+	16.0687i	−0.881441	+	0.508900i	−0.871133	−	0.491047i	$-0.836614\pi$
$997$	−27.8318	+	16.0687i	−0.881441	+	0.508900i	−0.0103078	+	0.999947i	$0.503281\pi$
$998$	−18.4536	−	10.6542i	−0.584140	−	0.337253i
$999$	−1.16985	−	1.29925i	−0.0370125	−	0.0411065i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	155.2.u.a.49.10	yes	112
5.2	odd	4		775.2.bl.f.576.5		112
5.3	odd	4		775.2.bl.f.576.10		112
5.4	even	2	inner	155.2.u.a.49.5	yes	112
31.19	even	15	inner	155.2.u.a.19.5	✓	112
155.19	even	30	inner	155.2.u.a.19.10	yes	112
155.112	odd	60		775.2.bl.f.701.5		112
155.143	odd	60		775.2.bl.f.701.10		112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
155.2.u.a.19.5	✓	112	31.19	even	15	inner
155.2.u.a.19.10	yes	112	155.19	even	30	inner
155.2.u.a.49.5	yes	112	5.4	even	2	inner
155.2.u.a.49.10	yes	112	1.1	even	1	trivial
775.2.bl.f.576.5		112	5.2	odd	4
775.2.bl.f.576.10		112	5.3	odd	4
775.2.bl.f.701.5		112	155.112	odd	60
775.2.bl.f.701.10		112	155.143	odd	60

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:	\( N \)	\(=\)	\( 155 = 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	155.u (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.628586 + 0.865175i) q^{2} +(-0.608108 - 1.36583i) q^{3} +(0.264627 - 0.814440i) q^{4} +(-1.47625 - 1.67949i) q^{5} +(0.799436 - 1.38466i) q^{6} +(-0.822981 + 0.741015i) q^{7} +(2.90512 - 0.943931i) q^{8} +(0.511686 - 0.568285i) q^{9} +O(q^{10})\)	\(q+(0.628586 + 0.865175i) q^{2} +(-0.608108 - 1.36583i) q^{3} +(0.264627 - 0.814440i) q^{4} +(-1.47625 - 1.67949i) q^{5} +(0.799436 - 1.38466i) q^{6} +(-0.822981 + 0.741015i) q^{7} +(2.90512 - 0.943931i) q^{8} +(0.511686 - 0.568285i) q^{9} +(0.525104 - 2.33292i) q^{10} +(2.20754 - 0.469227i) q^{11} +(-1.27331 + 0.133830i) q^{12} +(-1.49181 - 0.156795i) q^{13} +(-1.15842 - 0.246230i) q^{14} +(-1.39619 + 3.03762i) q^{15} +(1.25718 + 0.913392i) q^{16} +(-0.816326 + 3.84051i) q^{17} +(0.813305 + 0.0854818i) q^{18} +(0.424414 + 4.03803i) q^{19} +(-1.75850 + 0.757875i) q^{20} +(1.51257 + 0.673437i) q^{21} +(1.79359 + 1.61496i) q^{22} +(6.03029 - 1.95936i) q^{23} +(-3.05588 - 3.39390i) q^{24} +(-0.641384 + 4.95869i) q^{25} +(-0.802074 - 1.38923i) q^{26} +(-5.35309 - 1.73932i) q^{27} +(0.385729 + 0.866361i) q^{28} +(-2.47359 + 1.79717i) q^{29} +(-3.50570 + 0.701461i) q^{30} +(4.35687 + 3.46666i) q^{31} -4.44743i q^{32} +(-1.98331 - 2.72979i) q^{33} +(-3.83585 + 1.70783i) q^{34} +(2.45945 + 0.288267i) q^{35} +(-0.327428 - 0.567121i) q^{36} +(0.269000 + 0.155307i) q^{37} +(-3.22682 + 2.90544i) q^{38} +(0.693024 + 2.13291i) q^{39} +(-5.87400 - 3.48565i) q^{40} +(0.834884 + 0.371714i) q^{41} +(0.368137 + 1.73195i) q^{42} +(-6.05390 + 0.636290i) q^{43} +(0.202019 - 1.92208i) q^{44} +(-1.70981 - 0.0204429i) q^{45} +(5.48575 + 3.98563i) q^{46} +(7.39907 - 10.1839i) q^{47} +(0.483042 - 2.27253i) q^{48} +(-0.603505 + 5.74197i) q^{49} +(-4.69330 + 2.56206i) q^{50} +(5.74192 - 1.22048i) q^{51} +(-0.522473 + 1.17349i) q^{52} +(0.612047 + 0.551090i) q^{53} +(-1.86006 - 5.72467i) q^{54} +(-4.04694 - 3.01485i) q^{55} +(-1.69139 + 2.92958i) q^{56} +(5.25719 - 3.03524i) q^{57} +(-3.10972 - 1.01041i) q^{58} +(2.57646 - 1.14711i) q^{59} +(2.10449 + 1.94095i) q^{60} -6.49054 q^{61} +(-0.260596 + 5.94854i) q^{62} +0.846855i q^{63} +(6.36215 - 4.62238i) q^{64} +(1.93894 + 2.73694i) q^{65} +(1.11507 - 3.43182i) q^{66} +(0.744351 - 0.429751i) q^{67} +(2.91184 + 1.68115i) q^{68} +(-6.34323 - 7.04487i) q^{69} +(1.29658 + 2.30906i) q^{70} +(7.95269 - 8.83235i) q^{71} +(0.950088 - 2.13393i) q^{72} +(2.37513 + 11.1741i) q^{73} +(0.0347218 + 0.330356i) q^{74} +(7.16278 - 2.13940i) q^{75} +(3.40104 + 0.722914i) q^{76} +(-1.46906 + 2.02199i) q^{77} +(-1.40971 + 1.94030i) q^{78} +(-0.995344 - 0.211567i) q^{79} +(-0.321870 - 3.45981i) q^{80} +(0.639831 + 6.08759i) q^{81} +(0.203199 + 0.955975i) q^{82} +(-6.14691 + 13.8062i) q^{83} +(0.948740 - 1.05368i) q^{84} +(7.65521 - 4.29854i) q^{85} +(-4.35590 - 4.83772i) q^{86} +(3.95884 + 2.28564i) q^{87} +(5.97026 - 3.44693i) q^{88} +(-3.28825 + 10.1202i) q^{89} +(-1.05707 - 1.49213i) q^{90} +(1.34392 - 0.976412i) q^{91} -5.42981i q^{92} +(2.08543 - 8.05886i) q^{93} +13.4618 q^{94} +(6.15530 - 6.67393i) q^{95} +(-6.07445 + 2.70452i) q^{96} +(-16.8955 - 5.48970i) q^{97} +(-5.34716 + 3.08719i) q^{98} +(0.862913 - 1.49461i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q + 16 q^{4} - 5 q^{5} - 26 q^{6} - 32 q^{9}+O(q^{10}) \) 112 * q + 16 * q^4 - 5 * q^5 - 26 * q^6 - 32 * q^9	\( 112 q + 16 q^{4} - 5 q^{5} - 26 q^{6} - 32 q^{9} - 22 q^{10} - 10 q^{11} - 20 q^{14} - 18 q^{15} - 44 q^{16} - 46 q^{19} + 35 q^{20} + 26 q^{21} + 48 q^{24} + 19 q^{25} - 78 q^{26} + 16 q^{29} + 30 q^{30} - 26 q^{31} - 4 q^{34} - 27 q^{35} - 4 q^{36} - 63 q^{40} - 16 q^{41} - 86 q^{44} - 71 q^{45} + 4 q^{46} + 42 q^{49} - 10 q^{50} + 92 q^{51} + 32 q^{54} - 39 q^{55} - 34 q^{56} + 26 q^{59} - 71 q^{60} + 40 q^{61} + 24 q^{64} - 72 q^{65} + 252 q^{66} - 4 q^{69} - 26 q^{70} + 116 q^{71} - 18 q^{74} - 58 q^{75} + 224 q^{76} - 134 q^{79} + 158 q^{80} - 60 q^{81} - 20 q^{84} - 27 q^{85} - 126 q^{86} + 82 q^{89} + 129 q^{90} + 2 q^{91} - 244 q^{94} + 96 q^{95} + 208 q^{96} + 94 q^{99}+O(q^{100}) \) 112 * q + 16 * q^4 - 5 * q^5 - 26 * q^6 - 32 * q^9 - 22 * q^10 - 10 * q^11 - 20 * q^14 - 18 * q^15 - 44 * q^16 - 46 * q^19 + 35 * q^20 + 26 * q^21 + 48 * q^24 + 19 * q^25 - 78 * q^26 + 16 * q^29 + 30 * q^30 - 26 * q^31 - 4 * q^34 - 27 * q^35 - 4 * q^36 - 63 * q^40 - 16 * q^41 - 86 * q^44 - 71 * q^45 + 4 * q^46 + 42 * q^49 - 10 * q^50 + 92 * q^51 + 32 * q^54 - 39 * q^55 - 34 * q^56 + 26 * q^59 - 71 * q^60 + 40 * q^61 + 24 * q^64 - 72 * q^65 + 252 * q^66 - 4 * q^69 - 26 * q^70 + 116 * q^71 - 18 * q^74 - 58 * q^75 + 224 * q^76 - 134 * q^79 + 158 * q^80 - 60 * q^81 - 20 * q^84 - 27 * q^85 - 126 * q^86 + 82 * q^89 + 129 * q^90 + 2 * q^91 - 244 * q^94 + 96 * q^95 + 208 * q^96 + 94 * q^99

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